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<a href="pair__BLS381_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_BLS381_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define PAIR_BLS381_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__BLS381_8h.html">fp12_BLS381.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__BLS381_8h.html">ecp2_BLS381.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__BLS381_8h.html">ecp_BLS381.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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> <a class="code" href="pair__BLS381_8h.html#ae6e182a64e658ae2f24b4ce059dc1a7c">CURVE_Bnx_BLS381</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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> <a class="code" href="pair__BLS381_8h.html#a633370fe9d1b0f30c7877879f7371908">CURVE_Cru_BLS381</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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> <a class="code" href="pair__BLS381_8h.html#a64af80fccbee15e68a18615680ebff58">CURVE_W_BLS381</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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> <a class="code" href="pair__BLS381_8h.html#adc31f7aafa529744e1417b7ad6c8dada">CURVE_SB_BLS381</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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> <a class="code" href="pair__BLS381_8h.html#a569727714eda3247c43e488b37fbd272">CURVE_WB_BLS381</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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> <a class="code" href="pair__BLS381_8h.html#ae6a6e6a7e0cdd1fc2dc14b38da49893a">CURVE_BB_BLS381</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__BLS381_8h.html#a8f9fc9a8acb5a52a063b657ca1ff5642">PAIR_BLS381_another</a>(<a class="code" href="structFP12__BLS381.html">FP12_BLS381</a> r[],<a class="code" href="structECP2__BLS381.html">ECP2_BLS381</a>* PV,<a class="code" href="structECP__BLS381.html">ECP_BLS381</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__BLS381_8h.html#aa3d950560e479b434ce3c0545e8936ee">PAIR_BLS381_ate</a>(<a class="code" href="structFP12__BLS381.html">FP12_BLS381</a> *r,<a class="code" href="structECP2__BLS381.html">ECP2_BLS381</a> *P,<a class="code" href="structECP__BLS381.html">ECP_BLS381</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__BLS381_8h.html#aaba8972448d80a300a888b78a7c84af6">PAIR_BLS381_double_ate</a>(<a class="code" href="structFP12__BLS381.html">FP12_BLS381</a> *r,<a class="code" href="structECP2__BLS381.html">ECP2_BLS381</a> *P,<a class="code" href="structECP__BLS381.html">ECP_BLS381</a> *Q,<a class="code" href="structECP2__BLS381.html">ECP2_BLS381</a> *R,<a class="code" href="structECP__BLS381.html">ECP_BLS381</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__BLS381_8h.html#ae77aedc08756ccbb616e332d87c32e51">PAIR_BLS381_fexp</a>(<a class="code" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381_8h.html#a323af36abba2fbaf4fe09b6710cb0bed">PAIR_BLS381_G1mul</a>(<a class="code" href="structECP__BLS381.html">ECP_BLS381</a> *Q,<a class="code" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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__BLS381_8h.html#a84edb7faf7d71c4add6cc2754c2abb35">PAIR_BLS381_G2mul</a>(<a class="code" href="structECP2__BLS381.html">ECP2_BLS381</a> *P,<a class="code" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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__BLS381_8h.html#a0ed48bfd50fdd775e6cc38d4a08636f3">PAIR_BLS381_GTpow</a>(<a class="code" href="structFP12__BLS381.html">FP12_BLS381</a> *x,<a class="code" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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__BLS381_8h.html#a695742fa685c3eb2c553813b68007d89">PAIR_BLS381_GTmember</a>(<a class="code" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381_8h.html#a05faad81610f46cfeba3a85a3981bce6">PAIR_BLS381_nbits</a>(<a class="code" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> n3,<a class="code" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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__BLS381_8h.html#a128c75bb37658aa1e938ce717dd89068">PAIR_BLS381_initmp</a>(<a class="code" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381_8h.html#a64761d2d91aef5497a8d587bbf80787b">PAIR_BLS381_miller</a>(<a class="code" href="structFP12__BLS381.html">FP12_BLS381</a> *res,<a class="code" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381_8h_html_ae6e182a64e658ae2f24b4ce059dc1a7c"><div class="ttname"><a href="pair__BLS381_8h.html#ae6e182a64e658ae2f24b4ce059dc1a7c">CURVE_Bnx_BLS381</a></div><div class="ttdeci">const BIG_384_58 CURVE_Bnx_BLS381</div></div>
<div class="ttc" id="pair__BLS381_8h_html_aa3d950560e479b434ce3c0545e8936ee"><div class="ttname"><a href="pair__BLS381_8h.html#aa3d950560e479b434ce3c0545e8936ee">PAIR_BLS381_ate</a></div><div class="ttdeci">void PAIR_BLS381_ate(FP12_BLS381 *r, ECP2_BLS381 *P, ECP_BLS381 *Q)</div><div class="ttdoc">Calculate Miller loop for Optimal ATE pairing e(P,Q) </div><div class="ttdef"><b>Definition:</b> pair_BLS381.c:272</div></div>
<div class="ttc" id="pair__BLS381_8h_html_adc31f7aafa529744e1417b7ad6c8dada"><div class="ttname"><a href="pair__BLS381_8h.html#adc31f7aafa529744e1417b7ad6c8dada">CURVE_SB_BLS381</a></div><div class="ttdeci">const BIG_384_58 CURVE_SB_BLS381[2][2]</div></div>
<div class="ttc" id="pair__BLS381_8h_html_aaba8972448d80a300a888b78a7c84af6"><div class="ttname"><a href="pair__BLS381_8h.html#aaba8972448d80a300a888b78a7c84af6">PAIR_BLS381_double_ate</a></div><div class="ttdeci">void PAIR_BLS381_double_ate(FP12_BLS381 *r, ECP2_BLS381 *P, ECP_BLS381 *Q, ECP2_BLS381 *R, ECP_BLS381 *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_BLS381.c:356</div></div>
<div class="ttc" id="big__384__58_8h_html_ab8c68dbf8612f8f005c402a289c5da31"><div class="ttname"><a href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a></div><div class="ttdeci">chunk BIG_384_58[NLEN_384_58]</div><div class="ttdef"><b>Definition:</b> big_384_58.h:58</div></div>
<div class="ttc" id="pair__BLS381_8h_html_a64af80fccbee15e68a18615680ebff58"><div class="ttname"><a href="pair__BLS381_8h.html#a64af80fccbee15e68a18615680ebff58">CURVE_W_BLS381</a></div><div class="ttdeci">const BIG_384_58 CURVE_W_BLS381[2]</div></div>
<div class="ttc" id="pair__BLS381_8h_html_a84edb7faf7d71c4add6cc2754c2abb35"><div class="ttname"><a href="pair__BLS381_8h.html#a84edb7faf7d71c4add6cc2754c2abb35">PAIR_BLS381_G2mul</a></div><div class="ttdeci">void PAIR_BLS381_G2mul(ECP2_BLS381 *P, BIG_384_58 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_BLS381.c:764</div></div>
<div class="ttc" id="ecp__BLS381_8h_html"><div class="ttname"><a href="ecp__BLS381_8h.html">ecp_BLS381.h</a></div><div class="ttdoc">ECP Header File. </div></div>
<div class="ttc" id="pair__BLS381_8h_html_a633370fe9d1b0f30c7877879f7371908"><div class="ttname"><a href="pair__BLS381_8h.html#a633370fe9d1b0f30c7877879f7371908">CURVE_Cru_BLS381</a></div><div class="ttdeci">const BIG_384_58 CURVE_Cru_BLS381</div></div>
<div class="ttc" id="pair__BLS381_8h_html_a128c75bb37658aa1e938ce717dd89068"><div class="ttname"><a href="pair__BLS381_8h.html#a128c75bb37658aa1e938ce717dd89068">PAIR_BLS381_initmp</a></div><div class="ttdeci">void PAIR_BLS381_initmp(FP12_BLS381 r[])</div><div class="ttdoc">Initialise structure for multi-pairing. </div><div class="ttdef"><b>Definition:</b> pair_BLS381.c:173</div></div>
<div class="ttc" id="pair__BLS381_8h_html_a64761d2d91aef5497a8d587bbf80787b"><div class="ttname"><a href="pair__BLS381_8h.html#a64761d2d91aef5497a8d587bbf80787b">PAIR_BLS381_miller</a></div><div class="ttdeci">void PAIR_BLS381_miller(FP12_BLS381 *res, FP12_BLS381 r[])</div><div class="ttdoc">Miller loop. </div><div class="ttdef"><b>Definition:</b> pair_BLS381.c:182</div></div>
<div class="ttc" id="pair__BLS381_8h_html_a05faad81610f46cfeba3a85a3981bce6"><div class="ttname"><a href="pair__BLS381_8h.html#a05faad81610f46cfeba3a85a3981bce6">PAIR_BLS381_nbits</a></div><div class="ttdeci">int PAIR_BLS381_nbits(BIG_384_58 n3, BIG_384_58 n)</div><div class="ttdoc">Prepare Ate parameter. </div><div class="ttdef"><b>Definition:</b> pair_BLS381.c:139</div></div>
<div class="ttc" id="structFP12__BLS381_html"><div class="ttname"><a href="structFP12__BLS381.html">FP12_BLS381</a></div><div class="ttdoc">FP12 Structure - towered over three FP4. </div><div class="ttdef"><b>Definition:</b> fp12_BLS381.h:36</div></div>
<div class="ttc" id="pair__BLS381_8h_html_ae6a6e6a7e0cdd1fc2dc14b38da49893a"><div class="ttname"><a href="pair__BLS381_8h.html#ae6a6e6a7e0cdd1fc2dc14b38da49893a">CURVE_BB_BLS381</a></div><div class="ttdeci">const BIG_384_58 CURVE_BB_BLS381[4][4]</div></div>
<div class="ttc" id="pair__BLS381_8h_html_a695742fa685c3eb2c553813b68007d89"><div class="ttname"><a href="pair__BLS381_8h.html#a695742fa685c3eb2c553813b68007d89">PAIR_BLS381_GTmember</a></div><div class="ttdeci">int PAIR_BLS381_GTmember(FP12_BLS381 *x)</div><div class="ttdoc">Tests FP12 for membership of GT. </div></div>
<div class="ttc" id="pair__BLS381_8h_html_ae77aedc08756ccbb616e332d87c32e51"><div class="ttname"><a href="pair__BLS381_8h.html#ae77aedc08756ccbb616e332d87c32e51">PAIR_BLS381_fexp</a></div><div class="ttdeci">void PAIR_BLS381_fexp(FP12_BLS381 *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_BLS381.c:469</div></div>
<div class="ttc" id="pair__BLS381_8h_html_a0ed48bfd50fdd775e6cc38d4a08636f3"><div class="ttname"><a href="pair__BLS381_8h.html#a0ed48bfd50fdd775e6cc38d4a08636f3">PAIR_BLS381_GTpow</a></div><div class="ttdeci">void PAIR_BLS381_GTpow(FP12_BLS381 *x, BIG_384_58 b)</div><div class="ttdoc">Fast raising of a member of GT to a BIG power. </div><div class="ttdef"><b>Definition:</b> pair_BLS381.c:813</div></div>
<div class="ttc" id="structECP__BLS381_html"><div class="ttname"><a href="structECP__BLS381.html">ECP_BLS381</a></div><div class="ttdoc">ECP structure - Elliptic Curve Point over base field. </div><div class="ttdef"><b>Definition:</b> ecp_BLS381.h:105</div></div>
<div class="ttc" id="ecp2__BLS381_8h_html"><div class="ttname"><a href="ecp2__BLS381_8h.html">ecp2_BLS381.h</a></div><div class="ttdoc">ECP2 Header File. </div></div>
<div class="ttc" id="pair__BLS381_8h_html_a569727714eda3247c43e488b37fbd272"><div class="ttname"><a href="pair__BLS381_8h.html#a569727714eda3247c43e488b37fbd272">CURVE_WB_BLS381</a></div><div class="ttdeci">const BIG_384_58 CURVE_WB_BLS381[4]</div></div>
<div class="ttc" id="pair__BLS381_8h_html_a8f9fc9a8acb5a52a063b657ca1ff5642"><div class="ttname"><a href="pair__BLS381_8h.html#a8f9fc9a8acb5a52a063b657ca1ff5642">PAIR_BLS381_another</a></div><div class="ttdeci">void PAIR_BLS381_another(FP12_BLS381 r[], ECP2_BLS381 *PV, ECP_BLS381 *QV)</div><div class="ttdoc">Precompute line functions for n-pairing. </div><div class="ttdef"><b>Definition:</b> pair_BLS381.c:200</div></div>
<div class="ttc" id="pair__BLS381_8h_html_a323af36abba2fbaf4fe09b6710cb0bed"><div class="ttname"><a href="pair__BLS381_8h.html#a323af36abba2fbaf4fe09b6710cb0bed">PAIR_BLS381_G1mul</a></div><div class="ttdeci">void PAIR_BLS381_G1mul(ECP_BLS381 *Q, BIG_384_58 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_BLS381.c:718</div></div>
<div class="ttc" id="fp12__BLS381_8h_html"><div class="ttname"><a href="fp12__BLS381_8h.html">fp12_BLS381.h</a></div><div class="ttdoc">FP12 Header File. </div></div>
<div class="ttc" id="structECP2__BLS381_html"><div class="ttname"><a href="structECP2__BLS381.html">ECP2_BLS381</a></div><div class="ttdoc">ECP2 Structure - Elliptic Curve Point over quadratic extension field. </div><div class="ttdef"><b>Definition:</b> ecp2_BLS381.h:37</div></div>
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