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<a href="pair__BLS461_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> Licensed to the Apache Software Foundation (ASF) under one</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> or more contributor license agreements. See the NOTICE file</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> distributed with this work for additional information</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> regarding copyright ownership. The ASF licenses this file</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> to you under the Apache License, Version 2.0 (the</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> &quot;License&quot;); you may not use this file except in compliance</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> with the License. You may obtain a copy of the License at</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment"> Unless required by applicable law or agreed to in writing,</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"> software distributed under the License is distributed on an</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment"> &quot;AS IS&quot; BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> KIND, either express or implied. See the License for the</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> specific language governing permissions and limitations</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> under the License.</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#ifndef PAIR_BLS461_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define PAIR_BLS461_H</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="fp12__BLS461_8h.html">fp12_BLS461.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="ecp2__BLS461_8h.html">ecp2_BLS461.h</a>&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="ecp__BLS461_8h.html">ecp_BLS461.h</a>&quot;</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="comment">/* Pairing constants */</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> <a class="code" href="pair__BLS461_8h.html#a164b6ff6a3e68d61d3423da98df47959">CURVE_Bnx_BLS461</a>; </div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> <a class="code" href="pair__BLS461_8h.html#afe7e0fd0c39ff0b4b1b8de3099ce81f0">CURVE_Cru_BLS461</a>; </div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> <a class="code" href="pair__BLS461_8h.html#ad2d861f32f2716548769bce77467bf5b">CURVE_W_BLS461</a>[2]; </div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> <a class="code" href="pair__BLS461_8h.html#af67e6f3e94e26dceea58d9c96581bef5">CURVE_SB_BLS461</a>[2][2]; </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> <a class="code" href="pair__BLS461_8h.html#a49c91ef078471fdb5370cc6c8f8f9c1b">CURVE_WB_BLS461</a>[4]; </div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> <a class="code" href="pair__BLS461_8h.html#a30e9ae647c0f01230bedc414e4c8955a">CURVE_BB_BLS461</a>[4][4]; </div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="comment">/* Pairing function prototypes */</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BLS461_8h.html#a14bf96302c0d77f77195e55ba09b672d">PAIR_BLS461_another</a>(<a class="code" href="structFP12__BLS461.html">FP12_BLS461</a> r[],<a class="code" href="structECP2__BLS461.html">ECP2_BLS461</a>* PV,<a class="code" href="structECP__BLS461.html">ECP_BLS461</a>* QV);</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BLS461_8h.html#aeb3c4bc8e9841f34801ba78ca925d450">PAIR_BLS461_ate</a>(<a class="code" href="structFP12__BLS461.html">FP12_BLS461</a> *r,<a class="code" href="structECP2__BLS461.html">ECP2_BLS461</a> *P,<a class="code" href="structECP__BLS461.html">ECP_BLS461</a> *Q);</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BLS461_8h.html#adcee25eb6c17b14586c65d3b2f417958">PAIR_BLS461_double_ate</a>(<a class="code" href="structFP12__BLS461.html">FP12_BLS461</a> *r,<a class="code" href="structECP2__BLS461.html">ECP2_BLS461</a> *P,<a class="code" href="structECP__BLS461.html">ECP_BLS461</a> *Q,<a class="code" href="structECP2__BLS461.html">ECP2_BLS461</a> *R,<a class="code" href="structECP__BLS461.html">ECP_BLS461</a> *S);</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BLS461_8h.html#a9da63a97e6d17d24ed34d04a4dffabd7">PAIR_BLS461_fexp</a>(<a class="code" href="structFP12__BLS461.html">FP12_BLS461</a> *x);</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BLS461_8h.html#a0820445bbd9b98c28bd6e498fecaa3e4">PAIR_BLS461_G1mul</a>(<a class="code" href="structECP__BLS461.html">ECP_BLS461</a> *Q,<a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BLS461_8h.html#ab24b7f436a5420ba9c8663157e9eb658">PAIR_BLS461_G2mul</a>(<a class="code" href="structECP2__BLS461.html">ECP2_BLS461</a> *P,<a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b);</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BLS461_8h.html#ad83351a3869867f4aed55b7aa346787f">PAIR_BLS461_GTpow</a>(<a class="code" href="structFP12__BLS461.html">FP12_BLS461</a> *x,<a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b);</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="pair__BLS461_8h.html#a924359255ef6e88fba44985ee772db72">PAIR_BLS461_GTmember</a>(<a class="code" href="structFP12__BLS461.html">FP12_BLS461</a> *x);</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="pair__BLS461_8h.html#a34c3d1defe3a2593bf9ec02e6767b808">PAIR_BLS461_nbits</a>(<a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> n3,<a class="code" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> n);</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BLS461_8h.html#ae130a2af81eb0cf34f3e714e456d7278">PAIR_BLS461_initmp</a>(<a class="code" href="structFP12__BLS461.html">FP12_BLS461</a> r[]);</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BLS461_8h.html#a8312160a11243f1bc5d678d8194cb234">PAIR_BLS461_miller</a>(<a class="code" href="structFP12__BLS461.html">FP12_BLS461</a> *res,<a class="code" href="structFP12__BLS461.html">FP12_BLS461</a> r[]);</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="pair__BLS461_8h_html_a164b6ff6a3e68d61d3423da98df47959"><div class="ttname"><a href="pair__BLS461_8h.html#a164b6ff6a3e68d61d3423da98df47959">CURVE_Bnx_BLS461</a></div><div class="ttdeci">const BIG_464_60 CURVE_Bnx_BLS461</div></div>
<div class="ttc" id="structECP2__BLS461_html"><div class="ttname"><a href="structECP2__BLS461.html">ECP2_BLS461</a></div><div class="ttdoc">ECP2 Structure - Elliptic Curve Point over quadratic extension field. </div><div class="ttdef"><b>Definition:</b> ecp2_BLS461.h:37</div></div>
<div class="ttc" id="pair__BLS461_8h_html_a9da63a97e6d17d24ed34d04a4dffabd7"><div class="ttname"><a href="pair__BLS461_8h.html#a9da63a97e6d17d24ed34d04a4dffabd7">PAIR_BLS461_fexp</a></div><div class="ttdeci">void PAIR_BLS461_fexp(FP12_BLS461 *x)</div><div class="ttdoc">Final exponentiation of pairing, converts output of Miller loop to element in GT. ...</div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:469</div></div>
<div class="ttc" id="fp12__BLS461_8h_html"><div class="ttname"><a href="fp12__BLS461_8h.html">fp12_BLS461.h</a></div><div class="ttdoc">FP12 Header File. </div></div>
<div class="ttc" id="pair__BLS461_8h_html_a49c91ef078471fdb5370cc6c8f8f9c1b"><div class="ttname"><a href="pair__BLS461_8h.html#a49c91ef078471fdb5370cc6c8f8f9c1b">CURVE_WB_BLS461</a></div><div class="ttdeci">const BIG_464_60 CURVE_WB_BLS461[4]</div></div>
<div class="ttc" id="pair__BLS461_8h_html_afe7e0fd0c39ff0b4b1b8de3099ce81f0"><div class="ttname"><a href="pair__BLS461_8h.html#afe7e0fd0c39ff0b4b1b8de3099ce81f0">CURVE_Cru_BLS461</a></div><div class="ttdeci">const BIG_464_60 CURVE_Cru_BLS461</div></div>
<div class="ttc" id="big__464__60_8h_html_a170cff556211f14df9c4ad2ad753dc93"><div class="ttname"><a href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a></div><div class="ttdeci">chunk BIG_464_60[NLEN_464_60]</div><div class="ttdef"><b>Definition:</b> big_464_60.h:58</div></div>
<div class="ttc" id="pair__BLS461_8h_html_af67e6f3e94e26dceea58d9c96581bef5"><div class="ttname"><a href="pair__BLS461_8h.html#af67e6f3e94e26dceea58d9c96581bef5">CURVE_SB_BLS461</a></div><div class="ttdeci">const BIG_464_60 CURVE_SB_BLS461[2][2]</div></div>
<div class="ttc" id="pair__BLS461_8h_html_ad83351a3869867f4aed55b7aa346787f"><div class="ttname"><a href="pair__BLS461_8h.html#ad83351a3869867f4aed55b7aa346787f">PAIR_BLS461_GTpow</a></div><div class="ttdeci">void PAIR_BLS461_GTpow(FP12_BLS461 *x, BIG_464_60 b)</div><div class="ttdoc">Fast raising of a member of GT to a BIG power. </div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:813</div></div>
<div class="ttc" id="structECP__BLS461_html"><div class="ttname"><a href="structECP__BLS461.html">ECP_BLS461</a></div><div class="ttdoc">ECP structure - Elliptic Curve Point over base field. </div><div class="ttdef"><b>Definition:</b> ecp_BLS461.h:105</div></div>
<div class="ttc" id="pair__BLS461_8h_html_ad2d861f32f2716548769bce77467bf5b"><div class="ttname"><a href="pair__BLS461_8h.html#ad2d861f32f2716548769bce77467bf5b">CURVE_W_BLS461</a></div><div class="ttdeci">const BIG_464_60 CURVE_W_BLS461[2]</div></div>
<div class="ttc" id="ecp__BLS461_8h_html"><div class="ttname"><a href="ecp__BLS461_8h.html">ecp_BLS461.h</a></div><div class="ttdoc">ECP Header File. </div></div>
<div class="ttc" id="structFP12__BLS461_html"><div class="ttname"><a href="structFP12__BLS461.html">FP12_BLS461</a></div><div class="ttdoc">FP12 Structure - towered over three FP4. </div><div class="ttdef"><b>Definition:</b> fp12_BLS461.h:36</div></div>
<div class="ttc" id="pair__BLS461_8h_html_aeb3c4bc8e9841f34801ba78ca925d450"><div class="ttname"><a href="pair__BLS461_8h.html#aeb3c4bc8e9841f34801ba78ca925d450">PAIR_BLS461_ate</a></div><div class="ttdeci">void PAIR_BLS461_ate(FP12_BLS461 *r, ECP2_BLS461 *P, ECP_BLS461 *Q)</div><div class="ttdoc">Calculate Miller loop for Optimal ATE pairing e(P,Q) </div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:272</div></div>
<div class="ttc" id="pair__BLS461_8h_html_ae130a2af81eb0cf34f3e714e456d7278"><div class="ttname"><a href="pair__BLS461_8h.html#ae130a2af81eb0cf34f3e714e456d7278">PAIR_BLS461_initmp</a></div><div class="ttdeci">void PAIR_BLS461_initmp(FP12_BLS461 r[])</div><div class="ttdoc">Initialise structure for multi-pairing. </div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:173</div></div>
<div class="ttc" id="pair__BLS461_8h_html_a924359255ef6e88fba44985ee772db72"><div class="ttname"><a href="pair__BLS461_8h.html#a924359255ef6e88fba44985ee772db72">PAIR_BLS461_GTmember</a></div><div class="ttdeci">int PAIR_BLS461_GTmember(FP12_BLS461 *x)</div><div class="ttdoc">Tests FP12 for membership of GT. </div></div>
<div class="ttc" id="pair__BLS461_8h_html_adcee25eb6c17b14586c65d3b2f417958"><div class="ttname"><a href="pair__BLS461_8h.html#adcee25eb6c17b14586c65d3b2f417958">PAIR_BLS461_double_ate</a></div><div class="ttdeci">void PAIR_BLS461_double_ate(FP12_BLS461 *r, ECP2_BLS461 *P, ECP_BLS461 *Q, ECP2_BLS461 *R, ECP_BLS461 *S)</div><div class="ttdoc">Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S) </div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:356</div></div>
<div class="ttc" id="pair__BLS461_8h_html_a30e9ae647c0f01230bedc414e4c8955a"><div class="ttname"><a href="pair__BLS461_8h.html#a30e9ae647c0f01230bedc414e4c8955a">CURVE_BB_BLS461</a></div><div class="ttdeci">const BIG_464_60 CURVE_BB_BLS461[4][4]</div></div>
<div class="ttc" id="pair__BLS461_8h_html_a0820445bbd9b98c28bd6e498fecaa3e4"><div class="ttname"><a href="pair__BLS461_8h.html#a0820445bbd9b98c28bd6e498fecaa3e4">PAIR_BLS461_G1mul</a></div><div class="ttdeci">void PAIR_BLS461_G1mul(ECP_BLS461 *Q, BIG_464_60 b)</div><div class="ttdoc">Fast point multiplication of a member of the group G1 by a BIG number. </div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:718</div></div>
<div class="ttc" id="pair__BLS461_8h_html_a8312160a11243f1bc5d678d8194cb234"><div class="ttname"><a href="pair__BLS461_8h.html#a8312160a11243f1bc5d678d8194cb234">PAIR_BLS461_miller</a></div><div class="ttdeci">void PAIR_BLS461_miller(FP12_BLS461 *res, FP12_BLS461 r[])</div><div class="ttdoc">Miller loop. </div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:182</div></div>
<div class="ttc" id="pair__BLS461_8h_html_ab24b7f436a5420ba9c8663157e9eb658"><div class="ttname"><a href="pair__BLS461_8h.html#ab24b7f436a5420ba9c8663157e9eb658">PAIR_BLS461_G2mul</a></div><div class="ttdeci">void PAIR_BLS461_G2mul(ECP2_BLS461 *P, BIG_464_60 b)</div><div class="ttdoc">Fast point multiplication of a member of the group G2 by a BIG number. </div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:764</div></div>
<div class="ttc" id="ecp2__BLS461_8h_html"><div class="ttname"><a href="ecp2__BLS461_8h.html">ecp2_BLS461.h</a></div><div class="ttdoc">ECP2 Header File. </div></div>
<div class="ttc" id="pair__BLS461_8h_html_a34c3d1defe3a2593bf9ec02e6767b808"><div class="ttname"><a href="pair__BLS461_8h.html#a34c3d1defe3a2593bf9ec02e6767b808">PAIR_BLS461_nbits</a></div><div class="ttdeci">int PAIR_BLS461_nbits(BIG_464_60 n3, BIG_464_60 n)</div><div class="ttdoc">Prepare Ate parameter. </div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:139</div></div>
<div class="ttc" id="pair__BLS461_8h_html_a14bf96302c0d77f77195e55ba09b672d"><div class="ttname"><a href="pair__BLS461_8h.html#a14bf96302c0d77f77195e55ba09b672d">PAIR_BLS461_another</a></div><div class="ttdeci">void PAIR_BLS461_another(FP12_BLS461 r[], ECP2_BLS461 *PV, ECP_BLS461 *QV)</div><div class="ttdoc">Precompute line functions for n-pairing. </div><div class="ttdef"><b>Definition:</b> pair_BLS461.c:200</div></div>
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