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<a href="fp12__FP512BN_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 FP12_FP512BN_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP12_FP512BN_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="fp4__FP512BN_8h.html">fp4_FP512BN.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="structFP12__FP512BN.html"> 36</a></span>&#160;<span class="keyword">typedef</span> <span class="keyword">struct</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;{</div><div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="structFP12__FP512BN.html#a64dc28a2ee131075a24742a955e33600"> 38</a></span>&#160; <a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> <a class="code" href="structFP12__FP512BN.html#a64dc28a2ee131075a24742a955e33600">a</a>; </div><div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="structFP12__FP512BN.html#a489e2bcec3be4cecae74463786c850d0"> 39</a></span>&#160; <a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> <a class="code" href="structFP12__FP512BN.html#a489e2bcec3be4cecae74463786c850d0">b</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structFP12__FP512BN.html#ac4383eddc009b14f5a7dfdfd2f71194f"> 40</a></span>&#160; <a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> <a class="code" href="structFP12__FP512BN.html#ac4383eddc009b14f5a7dfdfd2f71194f">c</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="structFP12__FP512BN.html#a05506d1c036e4920bb1d960a3f649da9"> 41</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="structFP12__FP512BN.html#a05506d1c036e4920bb1d960a3f649da9">type</a>; </div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;} <a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a>;</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> <a class="code" href="fp12__FP512BN_8h.html#ad7da3c3186a66323a2cd55968808f253">Fra_FP512BN</a>; </div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> <a class="code" href="fp12__FP512BN_8h.html#a99f0e0c6148339ac0862403fdc477991">Frb_FP512BN</a>; </div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="comment">/* FP12 prototypes */</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp12__FP512BN_8h.html#a19790c7b73089851d374ae9848fbfa5c">FP12_FP512BN_iszilch</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x);</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp12__FP512BN_8h.html#a1f3babdd9479dd8a1c36d41936bfbbb8">FP12_FP512BN_isunity</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x);</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a3cbd4fddb940026a8229cd2f561a7fb9">FP12_FP512BN_copy</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y);</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a0ce2f82a834844302320126443a6b23a">FP12_FP512BN_one</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x);</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a7f0acc7745a5cab3d72f1a0d344d6199">FP12_FP512BN_zero</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x);</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp12__FP512BN_8h.html#a02d960f750136a8b403a3983c333fe5f">FP12_FP512BN_equals</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y);</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#ace45decd1d3bfd3cc456b837bf411c4e">FP12_FP512BN_conj</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y);</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a22dffa8afaf7127fb7872ffe01dcfee7">FP12_FP512BN_from_FP4</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *a);</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a077b2f20b0332099ceffd8060f6271d8">FP12_FP512BN_from_FP4s</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *a,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a>* b,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *c);</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#ad058910fe143f8d64cd047c79a797cb2">FP12_FP512BN_usqr</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y);</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a92be596e66f4086902fc2e7b9ae74ef4">FP12_FP512BN_sqr</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y);</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="fp12__FP512BN_8h.html#a720b4ad3105029218be96899e519d3c0">FP12_FP512BN_smul</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y);</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a8a42bfbffd2a62213ca2fdc65197c105">FP12_FP512BN_ssmul</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y);</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#aca56833f7f38303b704d94494b5bf375">FP12_FP512BN_mul</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y);</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a6f523dabff9dad730ac68887c559a501">FP12_FP512BN_inv</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y);</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a26aa81c34ac866aca13513bfe599b4a4">FP12_FP512BN_pow</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *r,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b);</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a61a4312bbace323c62d067a7335f00fd">FP12_FP512BN_pinpow</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<span class="keywordtype">int</span> i,<span class="keywordtype">int</span> b);</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a7ee76f8fe47524c771f98fb4d3f6887f">FP12_FP512BN_compow</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *c,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> e,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> r);</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a36ff17c7f060a381080946317fe54bef">FP12_FP512BN_pow4</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *r,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *b);</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#ab7ea30ea1d2239c438e0b3b4b1c1aab8">FP12_FP512BN_frob</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP2__FP512BN.html">FP2_FP512BN</a> *f);</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a91f6920c76cc68fb8baf6802817168a8">FP12_FP512BN_reduce</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x);</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#ab6d4ed44349b1f5e0cd040f7f2e49e3e">FP12_FP512BN_norm</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x);</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a2a27106bfd2b7342d5b84154b7e76e6f">FP12_FP512BN_output</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x);</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#abceb500aed4eb92470b2e07c347d8934">FP12_FP512BN_toOctet</a>(<a class="code" href="structoctet.html">octet</a> *S,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x);</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#a1cb1a52299b2af2840ed289f91878cbb">FP12_FP512BN_fromOctet</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structoctet.html">octet</a> *S);</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#aad33e42e53a32da6e093ce2be11ecba5">FP12_FP512BN_trace</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *t,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x);</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp12__FP512BN_8h.html#ac7e566d64a196d90e1885fa2b418edb3">FP12_FP512BN_cmove</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y,<span class="keywordtype">int</span> s);</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160;</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="big__512__60_8h_html_a38953b585df73ecbd30fded6cc5b54b7"><div class="ttname"><a href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a></div><div class="ttdeci">chunk BIG_512_60[NLEN_512_60]</div><div class="ttdef"><b>Definition:</b> big_512_60.h:58</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a6f523dabff9dad730ac68887c559a501"><div class="ttname"><a href="fp12__FP512BN_8h.html#a6f523dabff9dad730ac68887c559a501">FP12_FP512BN_inv</a></div><div class="ttdeci">void FP12_FP512BN_inv(FP12_FP512BN *x, FP12_FP512BN *y)</div><div class="ttdoc">Inverting an FP12.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:582</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a61a4312bbace323c62d067a7335f00fd"><div class="ttname"><a href="fp12__FP512BN_8h.html#a61a4312bbace323c62d067a7335f00fd">FP12_FP512BN_pinpow</a></div><div class="ttdeci">void FP12_FP512BN_pinpow(FP12_FP512BN *x, int i, int b)</div><div class="ttdoc">Raises an FP12 instance x to a small integer power, side-channel resistant.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:623</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html"><div class="ttname"><a href="fp4__FP512BN_8h.html">fp4_FP512BN.h</a></div><div class="ttdoc">FP4 Header File.</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_abceb500aed4eb92470b2e07c347d8934"><div class="ttname"><a href="fp12__FP512BN_8h.html#abceb500aed4eb92470b2e07c347d8934">FP12_FP512BN_toOctet</a></div><div class="ttdeci">void FP12_FP512BN_toOctet(octet *S, FP12_FP512BN *x)</div><div class="ttdoc">Formats and outputs an FP12 instance to an octet string.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:872</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_aca56833f7f38303b704d94494b5bf375"><div class="ttname"><a href="fp12__FP512BN_8h.html#aca56833f7f38303b704d94494b5bf375">FP12_FP512BN_mul</a></div><div class="ttdeci">void FP12_FP512BN_mul(FP12_FP512BN *x, FP12_FP512BN *y)</div><div class="ttdoc">Full unconditional Multiplication of two FP12s.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:245</div></div>
<div class="ttc" id="structFP2__FP512BN_html"><div class="ttname"><a href="structFP2__FP512BN.html">FP2_FP512BN</a></div><div class="ttdoc">FP2 Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp2_FP512BN.h:36</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_ad7da3c3186a66323a2cd55968808f253"><div class="ttname"><a href="fp12__FP512BN_8h.html#ad7da3c3186a66323a2cd55968808f253">Fra_FP512BN</a></div><div class="ttdeci">const BIG_512_60 Fra_FP512BN</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a36ff17c7f060a381080946317fe54bef"><div class="ttname"><a href="fp12__FP512BN_8h.html#a36ff17c7f060a381080946317fe54bef">FP12_FP512BN_pow4</a></div><div class="ttdeci">void FP12_FP512BN_pow4(FP12_FP512BN *r, FP12_FP512BN *x, BIG_512_60 *b)</div><div class="ttdoc">Calculate x[0]^b[0].x[1]^b[1].x[2]^b[2].x[3]^b[3], side-channel resistant.</div></div>
<div class="ttc" id="structFP12__FP512BN_html_a64dc28a2ee131075a24742a955e33600"><div class="ttname"><a href="structFP12__FP512BN.html#a64dc28a2ee131075a24742a955e33600">FP12_FP512BN::a</a></div><div class="ttdeci">FP4_FP512BN a</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.h:38</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_ab6d4ed44349b1f5e0cd040f7f2e49e3e"><div class="ttname"><a href="fp12__FP512BN_8h.html#ab6d4ed44349b1f5e0cd040f7f2e49e3e">FP12_FP512BN_norm</a></div><div class="ttdeci">void FP12_FP512BN_norm(FP12_FP512BN *x)</div><div class="ttdoc">Normalises the components of an FP12.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:833</div></div>
<div class="ttc" id="structoctet_html"><div class="ttname"><a href="structoctet.html">octet</a></div><div class="ttdoc">Portable representation of a big positive number.</div><div class="ttdef"><b>Definition:</b> amcl.h:209</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_ace45decd1d3bfd3cc456b837bf411c4e"><div class="ttname"><a href="fp12__FP512BN_8h.html#ace45decd1d3bfd3cc456b837bf411c4e">FP12_FP512BN_conj</a></div><div class="ttdeci">void FP12_FP512BN_conj(FP12_FP512BN *x, FP12_FP512BN *y)</div><div class="ttdoc">Conjugation of FP12.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:117</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_aad33e42e53a32da6e093ce2be11ecba5"><div class="ttname"><a href="fp12__FP512BN_8h.html#aad33e42e53a32da6e093ce2be11ecba5">FP12_FP512BN_trace</a></div><div class="ttdeci">void FP12_FP512BN_trace(FP4_FP512BN *t, FP12_FP512BN *x)</div><div class="ttdoc">Calculate the trace of an FP12.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:851</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a22dffa8afaf7127fb7872ffe01dcfee7"><div class="ttname"><a href="fp12__FP512BN_8h.html#a22dffa8afaf7127fb7872ffe01dcfee7">FP12_FP512BN_from_FP4</a></div><div class="ttdeci">void FP12_FP512BN_from_FP4(FP12_FP512BN *x, FP4_FP512BN *a)</div><div class="ttdoc">Initialise FP12 from single FP4.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:127</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a1cb1a52299b2af2840ed289f91878cbb"><div class="ttname"><a href="fp12__FP512BN_8h.html#a1cb1a52299b2af2840ed289f91878cbb">FP12_FP512BN_fromOctet</a></div><div class="ttdeci">void FP12_FP512BN_fromOctet(FP12_FP512BN *x, octet *S)</div><div class="ttdoc">Creates an FP12 instance from an octet string.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:905</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a02d960f750136a8b403a3983c333fe5f"><div class="ttname"><a href="fp12__FP512BN_8h.html#a02d960f750136a8b403a3983c333fe5f">FP12_FP512BN_equals</a></div><div class="ttdeci">int FP12_FP512BN_equals(FP12_FP512BN *x, FP12_FP512BN *y)</div><div class="ttdoc">Tests for equality of two FP12s.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:108</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_ad058910fe143f8d64cd047c79a797cb2"><div class="ttname"><a href="fp12__FP512BN_8h.html#ad058910fe143f8d64cd047c79a797cb2">FP12_FP512BN_usqr</a></div><div class="ttdeci">void FP12_FP512BN_usqr(FP12_FP512BN *x, FP12_FP512BN *y)</div><div class="ttdoc">Fast Squaring of an FP12 in &quot;unitary&quot; form.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:147</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a99f0e0c6148339ac0862403fdc477991"><div class="ttname"><a href="fp12__FP512BN_8h.html#a99f0e0c6148339ac0862403fdc477991">Frb_FP512BN</a></div><div class="ttdeci">const BIG_512_60 Frb_FP512BN</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a8a42bfbffd2a62213ca2fdc65197c105"><div class="ttname"><a href="fp12__FP512BN_8h.html#a8a42bfbffd2a62213ca2fdc65197c105">FP12_FP512BN_ssmul</a></div><div class="ttdeci">void FP12_FP512BN_ssmul(FP12_FP512BN *x, FP12_FP512BN *y)</div><div class="ttdoc">Fast multiplication of what may be sparse multiplicands.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:302</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a7f0acc7745a5cab3d72f1a0d344d6199"><div class="ttname"><a href="fp12__FP512BN_8h.html#a7f0acc7745a5cab3d72f1a0d344d6199">FP12_FP512BN_zero</a></div><div class="ttdeci">void FP12_FP512BN_zero(FP12_FP512BN *x)</div><div class="ttdoc">Set FP12 to zero.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:98</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_ac7e566d64a196d90e1885fa2b418edb3"><div class="ttname"><a href="fp12__FP512BN_8h.html#ac7e566d64a196d90e1885fa2b418edb3">FP12_FP512BN_cmove</a></div><div class="ttdeci">void FP12_FP512BN_cmove(FP12_FP512BN *x, FP12_FP512BN *y, int s)</div><div class="ttdoc">Conditional copy of FP12 number.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:935</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a92be596e66f4086902fc2e7b9ae74ef4"><div class="ttname"><a href="fp12__FP512BN_8h.html#a92be596e66f4086902fc2e7b9ae74ef4">FP12_FP512BN_sqr</a></div><div class="ttdeci">void FP12_FP512BN_sqr(FP12_FP512BN *x, FP12_FP512BN *y)</div><div class="ttdoc">Squaring an FP12.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:189</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a7ee76f8fe47524c771f98fb4d3f6887f"><div class="ttname"><a href="fp12__FP512BN_8h.html#a7ee76f8fe47524c771f98fb4d3f6887f">FP12_FP512BN_compow</a></div><div class="ttdeci">void FP12_FP512BN_compow(FP4_FP512BN *c, FP12_FP512BN *x, BIG_512_60 e, BIG_512_60 r)</div><div class="ttdoc">Raises an FP12 instance x to a BIG power, compressed to FP4.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:642</div></div>
<div class="ttc" id="structFP4__FP512BN_html"><div class="ttname"><a href="structFP4__FP512BN.html">FP4_FP512BN</a></div><div class="ttdoc">FP4 Structure - towered over two FP2.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.h:37</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a077b2f20b0332099ceffd8060f6271d8"><div class="ttname"><a href="fp12__FP512BN_8h.html#a077b2f20b0332099ceffd8060f6271d8">FP12_FP512BN_from_FP4s</a></div><div class="ttdeci">void FP12_FP512BN_from_FP4s(FP12_FP512BN *x, FP4_FP512BN *a, FP4_FP512BN *b, FP4_FP512BN *c)</div><div class="ttdoc">Initialise FP12 from three FP4s.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:137</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a3cbd4fddb940026a8229cd2f561a7fb9"><div class="ttname"><a href="fp12__FP512BN_8h.html#a3cbd4fddb940026a8229cd2f561a7fb9">FP12_FP512BN_copy</a></div><div class="ttdeci">void FP12_FP512BN_copy(FP12_FP512BN *x, FP12_FP512BN *y)</div><div class="ttdoc">Copy FP12 to another FP12.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:79</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a1f3babdd9479dd8a1c36d41936bfbbb8"><div class="ttname"><a href="fp12__FP512BN_8h.html#a1f3babdd9479dd8a1c36d41936bfbbb8">FP12_FP512BN_isunity</a></div><div class="ttdeci">int FP12_FP512BN_isunity(FP12_FP512BN *x)</div><div class="ttdoc">Tests for FP12 equal to unity.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:71</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a91f6920c76cc68fb8baf6802817168a8"><div class="ttname"><a href="fp12__FP512BN_8h.html#a91f6920c76cc68fb8baf6802817168a8">FP12_FP512BN_reduce</a></div><div class="ttdeci">void FP12_FP512BN_reduce(FP12_FP512BN *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP12 mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:842</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a2a27106bfd2b7342d5b84154b7e76e6f"><div class="ttname"><a href="fp12__FP512BN_8h.html#a2a27106bfd2b7342d5b84154b7e76e6f">FP12_FP512BN_output</a></div><div class="ttdeci">void FP12_FP512BN_output(FP12_FP512BN *x)</div><div class="ttdoc">Formats and outputs an FP12 to the console.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:859</div></div>
<div class="ttc" id="structFP12__FP512BN_html"><div class="ttname"><a href="structFP12__FP512BN.html">FP12_FP512BN</a></div><div class="ttdoc">FP12 Structure - towered over three FP4.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.h:36</div></div>
<div class="ttc" id="structFP12__FP512BN_html_a05506d1c036e4920bb1d960a3f649da9"><div class="ttname"><a href="structFP12__FP512BN.html#a05506d1c036e4920bb1d960a3f649da9">FP12_FP512BN::type</a></div><div class="ttdeci">int type</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.h:41</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a0ce2f82a834844302320126443a6b23a"><div class="ttname"><a href="fp12__FP512BN_8h.html#a0ce2f82a834844302320126443a6b23a">FP12_FP512BN_one</a></div><div class="ttdeci">void FP12_FP512BN_one(FP12_FP512BN *x)</div><div class="ttdoc">Set FP12 to unity.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:90</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_ab7ea30ea1d2239c438e0b3b4b1c1aab8"><div class="ttname"><a href="fp12__FP512BN_8h.html#ab7ea30ea1d2239c438e0b3b4b1c1aab8">FP12_FP512BN_frob</a></div><div class="ttdeci">void FP12_FP512BN_frob(FP12_FP512BN *x, FP2_FP512BN *f)</div><div class="ttdoc">Raises an FP12 to the power of the internal modulus p, using the Frobenius.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:816</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a720b4ad3105029218be96899e519d3c0"><div class="ttname"><a href="fp12__FP512BN_8h.html#a720b4ad3105029218be96899e519d3c0">FP12_FP512BN_smul</a></div><div class="ttdeci">void FP12_FP512BN_smul(FP12_FP512BN *x, FP12_FP512BN *y)</div><div class="ttdoc">Fast multiplication of two sparse FP12s that arises from ATE pairing line functions.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:480</div></div>
<div class="ttc" id="structFP12__FP512BN_html_ac4383eddc009b14f5a7dfdfd2f71194f"><div class="ttname"><a href="structFP12__FP512BN.html#ac4383eddc009b14f5a7dfdfd2f71194f">FP12_FP512BN::c</a></div><div class="ttdeci">FP4_FP512BN c</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.h:40</div></div>
<div class="ttc" id="structFP12__FP512BN_html_a489e2bcec3be4cecae74463786c850d0"><div class="ttname"><a href="structFP12__FP512BN.html#a489e2bcec3be4cecae74463786c850d0">FP12_FP512BN::b</a></div><div class="ttdeci">FP4_FP512BN b</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.h:39</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a19790c7b73089851d374ae9848fbfa5c"><div class="ttname"><a href="fp12__FP512BN_8h.html#a19790c7b73089851d374ae9848fbfa5c">FP12_FP512BN_iszilch</a></div><div class="ttdeci">int FP12_FP512BN_iszilch(FP12_FP512BN *x)</div><div class="ttdoc">Tests for FP12 equal to zero.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:63</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html_a26aa81c34ac866aca13513bfe599b4a4"><div class="ttname"><a href="fp12__FP512BN_8h.html#a26aa81c34ac866aca13513bfe599b4a4">FP12_FP512BN_pow</a></div><div class="ttdeci">void FP12_FP512BN_pow(FP12_FP512BN *r, FP12_FP512BN *x, BIG_512_60 b)</div><div class="ttdoc">Raises an FP12 to the power of a BIG.</div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.c:692</div></div>
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