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<a href="#func-members">Functions</a> &#124;
<a href="#var-members">Variables</a> </div>
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<div class="title">pair_BLS461.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__BLS461_8h_source.html">fp12_BLS461.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="ecp2__BLS461_8h_source.html">ecp2_BLS461.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="ecp__BLS461_8h_source.html">ecp_BLS461.h</a>&quot;</code><br />
</div>
<p><a href="pair__BLS461_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a14bf96302c0d77f77195e55ba09b672d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a14bf96302c0d77f77195e55ba09b672d">PAIR_BLS461_another</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> r[], <a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *PV, <a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *QV)</td></tr>
<tr class="memdesc:a14bf96302c0d77f77195e55ba09b672d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Precompute line functions for n-pairing. <a href="#a14bf96302c0d77f77195e55ba09b672d">More...</a><br /></td></tr>
<tr class="separator:a14bf96302c0d77f77195e55ba09b672d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeb3c4bc8e9841f34801ba78ca925d450"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#aeb3c4bc8e9841f34801ba78ca925d450">PAIR_BLS461_ate</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *r, <a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *P, <a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *Q)</td></tr>
<tr class="memdesc:aeb3c4bc8e9841f34801ba78ca925d450"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Miller loop for Optimal ATE pairing e(P,Q) <a href="#aeb3c4bc8e9841f34801ba78ca925d450">More...</a><br /></td></tr>
<tr class="separator:aeb3c4bc8e9841f34801ba78ca925d450"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adcee25eb6c17b14586c65d3b2f417958"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#adcee25eb6c17b14586c65d3b2f417958">PAIR_BLS461_double_ate</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *r, <a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *P, <a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *Q, <a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *R, <a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *S)</td></tr>
<tr class="memdesc:adcee25eb6c17b14586c65d3b2f417958"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S) <a href="#adcee25eb6c17b14586c65d3b2f417958">More...</a><br /></td></tr>
<tr class="separator:adcee25eb6c17b14586c65d3b2f417958"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9da63a97e6d17d24ed34d04a4dffabd7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a9da63a97e6d17d24ed34d04a4dffabd7">PAIR_BLS461_fexp</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:a9da63a97e6d17d24ed34d04a4dffabd7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Final exponentiation of pairing, converts output of Miller loop to element in GT. <a href="#a9da63a97e6d17d24ed34d04a4dffabd7">More...</a><br /></td></tr>
<tr class="separator:a9da63a97e6d17d24ed34d04a4dffabd7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0820445bbd9b98c28bd6e498fecaa3e4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a0820445bbd9b98c28bd6e498fecaa3e4">PAIR_BLS461_G1mul</a> (<a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *Q, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr>
<tr class="memdesc:a0820445bbd9b98c28bd6e498fecaa3e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast point multiplication of a member of the group G1 by a BIG number. <a href="#a0820445bbd9b98c28bd6e498fecaa3e4">More...</a><br /></td></tr>
<tr class="separator:a0820445bbd9b98c28bd6e498fecaa3e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab24b7f436a5420ba9c8663157e9eb658"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#ab24b7f436a5420ba9c8663157e9eb658">PAIR_BLS461_G2mul</a> (<a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *P, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr>
<tr class="memdesc:ab24b7f436a5420ba9c8663157e9eb658"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast point multiplication of a member of the group G2 by a BIG number. <a href="#ab24b7f436a5420ba9c8663157e9eb658">More...</a><br /></td></tr>
<tr class="separator:ab24b7f436a5420ba9c8663157e9eb658"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad83351a3869867f4aed55b7aa346787f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#ad83351a3869867f4aed55b7aa346787f">PAIR_BLS461_GTpow</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr>
<tr class="memdesc:ad83351a3869867f4aed55b7aa346787f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast raising of a member of GT to a BIG power. <a href="#ad83351a3869867f4aed55b7aa346787f">More...</a><br /></td></tr>
<tr class="separator:ad83351a3869867f4aed55b7aa346787f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a924359255ef6e88fba44985ee772db72"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a924359255ef6e88fba44985ee772db72">PAIR_BLS461_GTmember</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:a924359255ef6e88fba44985ee772db72"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests FP12 for membership of GT. <a href="#a924359255ef6e88fba44985ee772db72">More...</a><br /></td></tr>
<tr class="separator:a924359255ef6e88fba44985ee772db72"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a34c3d1defe3a2593bf9ec02e6767b808"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a34c3d1defe3a2593bf9ec02e6767b808">PAIR_BLS461_nbits</a> (<a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> n3, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> n)</td></tr>
<tr class="memdesc:a34c3d1defe3a2593bf9ec02e6767b808"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prepare Ate parameter. <a href="#a34c3d1defe3a2593bf9ec02e6767b808">More...</a><br /></td></tr>
<tr class="separator:a34c3d1defe3a2593bf9ec02e6767b808"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae130a2af81eb0cf34f3e714e456d7278"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#ae130a2af81eb0cf34f3e714e456d7278">PAIR_BLS461_initmp</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> r[])</td></tr>
<tr class="memdesc:ae130a2af81eb0cf34f3e714e456d7278"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise structure for multi-pairing. <a href="#ae130a2af81eb0cf34f3e714e456d7278">More...</a><br /></td></tr>
<tr class="separator:ae130a2af81eb0cf34f3e714e456d7278"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8312160a11243f1bc5d678d8194cb234"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a8312160a11243f1bc5d678d8194cb234">PAIR_BLS461_miller</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *res, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> r[])</td></tr>
<tr class="memdesc:a8312160a11243f1bc5d678d8194cb234"><td class="mdescLeft">&#160;</td><td class="mdescRight">Miller loop. <a href="#a8312160a11243f1bc5d678d8194cb234">More...</a><br /></td></tr>
<tr class="separator:a8312160a11243f1bc5d678d8194cb234"><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:a164b6ff6a3e68d61d3423da98df47959"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a164b6ff6a3e68d61d3423da98df47959">CURVE_Bnx_BLS461</a></td></tr>
<tr class="separator:a164b6ff6a3e68d61d3423da98df47959"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afe7e0fd0c39ff0b4b1b8de3099ce81f0"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#afe7e0fd0c39ff0b4b1b8de3099ce81f0">CURVE_Cru_BLS461</a></td></tr>
<tr class="separator:afe7e0fd0c39ff0b4b1b8de3099ce81f0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad2d861f32f2716548769bce77467bf5b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#ad2d861f32f2716548769bce77467bf5b">CURVE_W_BLS461</a> [2]</td></tr>
<tr class="separator:ad2d861f32f2716548769bce77467bf5b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af67e6f3e94e26dceea58d9c96581bef5"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#af67e6f3e94e26dceea58d9c96581bef5">CURVE_SB_BLS461</a> [2][2]</td></tr>
<tr class="separator:af67e6f3e94e26dceea58d9c96581bef5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a49c91ef078471fdb5370cc6c8f8f9c1b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a49c91ef078471fdb5370cc6c8f8f9c1b">CURVE_WB_BLS461</a> [4]</td></tr>
<tr class="separator:a49c91ef078471fdb5370cc6c8f8f9c1b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a30e9ae647c0f01230bedc414e4c8955a"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a30e9ae647c0f01230bedc414e4c8955a">CURVE_BB_BLS461</a> [4][4]</td></tr>
<tr class="separator:a30e9ae647c0f01230bedc414e4c8955a"><td class="memSeparator" colspan="2">&#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="a14bf96302c0d77f77195e55ba09b672d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a14bf96302c0d77f77195e55ba09b672d">&#9670;&nbsp;</a></span>PAIR_BLS461_another()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void PAIR_BLS461_another </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a>&#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__BLS461.html">ECP2_BLS461</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__BLS461.html">ECP_BLS461</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="aeb3c4bc8e9841f34801ba78ca925d450"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aeb3c4bc8e9841f34801ba78ca925d450">&#9670;&nbsp;</a></span>PAIR_BLS461_ate()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void PAIR_BLS461_ate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#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__BLS461.html">ECP2_BLS461</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__BLS461.html">ECP_BLS461</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="adcee25eb6c17b14586c65d3b2f417958"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adcee25eb6c17b14586c65d3b2f417958">&#9670;&nbsp;</a></span>PAIR_BLS461_double_ate()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void PAIR_BLS461_double_ate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#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__BLS461.html">ECP2_BLS461</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__BLS461.html">ECP_BLS461</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__BLS461.html">ECP2_BLS461</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="structECP__BLS461.html">ECP_BLS461</a> *&#160;</td>
<td class="paramname"><em>S</em>&#160;</td>
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<td>)</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>
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</dd>
</dl>
</div>
</div>
<a id="a9da63a97e6d17d24ed34d04a4dffabd7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9da63a97e6d17d24ed34d04a4dffabd7">&#9670;&nbsp;</a></span>PAIR_BLS461_fexp()</h2>
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<td class="memname">void PAIR_BLS461_fexp </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</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>
</div>
<a id="a0820445bbd9b98c28bd6e498fecaa3e4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0820445bbd9b98c28bd6e498fecaa3e4">&#9670;&nbsp;</a></span>PAIR_BLS461_G1mul()</h2>
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<td class="memname">void PAIR_BLS461_G1mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__BLS461.html">ECP_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_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>
</div>
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<a id="ab24b7f436a5420ba9c8663157e9eb658"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab24b7f436a5420ba9c8663157e9eb658">&#9670;&nbsp;</a></span>PAIR_BLS461_G2mul()</h2>
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<td class="memname">void PAIR_BLS461_G2mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP2__BLS461.html">ECP2_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
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</table>
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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="#a924359255ef6e88fba44985ee772db72">&#9670;&nbsp;</a></span>PAIR_BLS461_GTmember()</h2>
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<td class="memname">int PAIR_BLS461_GTmember </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</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>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad83351a3869867f4aed55b7aa346787f">&#9670;&nbsp;</a></span>PAIR_BLS461_GTpow()</h2>
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<td class="memname">void PAIR_BLS461_GTpow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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<td></td>
<td>)</td>
<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>
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<a id="ae130a2af81eb0cf34f3e714e456d7278"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae130a2af81eb0cf34f3e714e456d7278">&#9670;&nbsp;</a></span>PAIR_BLS461_initmp()</h2>
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<td class="memname">void PAIR_BLS461_initmp </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a>&#160;</td>
<td class="paramname"><em>r</em>[]</td><td>)</td>
<td></td>
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</table>
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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="#a8312160a11243f1bc5d678d8194cb234">&#9670;&nbsp;</a></span>PAIR_BLS461_miller()</h2>
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<td class="memname">void PAIR_BLS461_miller </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>res</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a>&#160;</td>
<td class="paramname"><em>r</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">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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<a id="a34c3d1defe3a2593bf9ec02e6767b808"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a34c3d1defe3a2593bf9ec02e6767b808">&#9670;&nbsp;</a></span>PAIR_BLS461_nbits()</h2>
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<td class="memname">int PAIR_BLS461_nbits </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<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>
<a id="a30e9ae647c0f01230bedc414e4c8955a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a30e9ae647c0f01230bedc414e4c8955a">&#9670;&nbsp;</a></span>CURVE_BB_BLS461</h2>
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<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_BB_BLS461[4][4]</td>
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<p>BN curve constant for GS decomposition </p>
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<a id="a164b6ff6a3e68d61d3423da98df47959"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a164b6ff6a3e68d61d3423da98df47959">&#9670;&nbsp;</a></span>CURVE_Bnx_BLS461</h2>
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<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_Bnx_BLS461</td>
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<p>BN curve x parameter </p>
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</div>
<a id="afe7e0fd0c39ff0b4b1b8de3099ce81f0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afe7e0fd0c39ff0b4b1b8de3099ce81f0">&#9670;&nbsp;</a></span>CURVE_Cru_BLS461</h2>
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<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_Cru_BLS461</td>
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<p>BN curve Cube Root of Unity </p>
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<a id="af67e6f3e94e26dceea58d9c96581bef5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af67e6f3e94e26dceea58d9c96581bef5">&#9670;&nbsp;</a></span>CURVE_SB_BLS461</h2>
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<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_SB_BLS461[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="#ad2d861f32f2716548769bce77467bf5b">&#9670;&nbsp;</a></span>CURVE_W_BLS461</h2>
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<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_W_BLS461[2]</td>
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<p>BN curve constant for GLV decomposition </p>
</div>
</div>
<a id="a49c91ef078471fdb5370cc6c8f8f9c1b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a49c91ef078471fdb5370cc6c8f8f9c1b">&#9670;&nbsp;</a></span>CURVE_WB_BLS461</h2>
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<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_WB_BLS461[4]</td>
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<p>BN curve constant for GS decomposition </p>
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