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<a href="fp12__BN254CX_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_BN254CX_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP12_BN254CX_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__BN254CX_8h.html">fp4_BN254CX.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__BN254CX.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__BN254CX.html#a931211b2d8ca389cbb082974223834bb"> 38</a></span>&#160; <a class="code" href="structFP4__BN254CX.html">FP4_BN254CX</a> <a class="code" href="structFP12__BN254CX.html#a931211b2d8ca389cbb082974223834bb">a</a>; </div><div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="structFP12__BN254CX.html#a386bbb29e67ca65e44945791a9a86f3c"> 39</a></span>&#160; <a class="code" href="structFP4__BN254CX.html">FP4_BN254CX</a> <a class="code" href="structFP12__BN254CX.html#a386bbb29e67ca65e44945791a9a86f3c">b</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structFP12__BN254CX.html#a1c44eb3094a89d395d24278502309946"> 40</a></span>&#160; <a class="code" href="structFP4__BN254CX.html">FP4_BN254CX</a> <a class="code" href="structFP12__BN254CX.html#a1c44eb3094a89d395d24278502309946">c</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="structFP12__BN254CX.html#a4d36a7cb7bf145de779ee8ae4fb53f0b"> 41</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="structFP12__BN254CX.html#a4d36a7cb7bf145de779ee8ae4fb53f0b">type</a>; </div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;} <a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="fp12__BN254CX_8h.html#a6faf844be96d5ff48e3ae1d8b0c75830">Fra_BN254CX</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="fp12__BN254CX_8h.html#a17fa2a380fb640a2993fabf146be444b">Frb_BN254CX</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__BN254CX_8h.html#a3f06687cfe5b2096991ed3a05d05bfcb">FP12_BN254CX_iszilch</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a33c6b196a1129e47497d25dc75168196">FP12_BN254CX_isunity</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a9dfcacd92e055a164bb04436de415569">FP12_BN254CX_copy</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#afd404682b03b385eb712aced79bc9993">FP12_BN254CX_one</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a3f6a0918b1c06943ffa07d016f256b59">FP12_BN254CX_zero</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a038cc63f3849780d38d5b8417810e334">FP12_BN254CX_equals</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a9622f54f9f3d2c134039afc806e9b8d4">FP12_BN254CX_conj</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a229277145ef3750739c7d7854c6ad99e">FP12_BN254CX_from_FP4</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP4__BN254CX.html">FP4_BN254CX</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__BN254CX_8h.html#ae8b4d5493df72b955531eefbb441f99d">FP12_BN254CX_from_FP4s</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP4__BN254CX.html">FP4_BN254CX</a> *a,<a class="code" href="structFP4__BN254CX.html">FP4_BN254CX</a>* b,<a class="code" href="structFP4__BN254CX.html">FP4_BN254CX</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__BN254CX_8h.html#afe51f34d41c0c34338c4d2a615e9f661">FP12_BN254CX_usqr</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a98f8df4044b548abe01499c928a9df9f">FP12_BN254CX_sqr</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a6e9d0ad2c27f88469eb4270214e1aed0">FP12_BN254CX_smul</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#abf58575e12f7c4fef0ad2f6ee6091321">FP12_BN254CX_ssmul</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a1ed6c8256139ec7dcdb96a1c993d7d25">FP12_BN254CX_mul</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#afdbf1fc16acb5dae4435e46e99bae4be">FP12_BN254CX_inv</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#aaf362e192badd85c5df50d36aacd183a">FP12_BN254CX_pow</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *r,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</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__BN254CX_8h.html#a7db04864699b37fec47566f88d7aea92">FP12_BN254CX_pinpow</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a8afff56eb643aff310eeede416c8344d">FP12_BN254CX_compow</a>(<a class="code" href="structFP4__BN254CX.html">FP4_BN254CX</a> *c,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> e,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</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__BN254CX_8h.html#a16b252eda76f36d20aba57239f4cdffd">FP12_BN254CX_pow4</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *r,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</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__BN254CX_8h.html#ab564c5908da65319c6fc1ab4cdb69a02">FP12_BN254CX_frob</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</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__BN254CX_8h.html#aea6e8b840d8904b3ff889e53f28b141f">FP12_BN254CX_reduce</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#ae49d1e41a322ab3f79979d156a322aa0">FP12_BN254CX_norm</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a7936143113cbe7579a419b3015aa2c03">FP12_BN254CX_output</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a853ab74929e11fd8f5fabf31807ae711">FP12_BN254CX_toOctet</a>(<a class="code" href="structoctet.html">octet</a> *S,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#af0391c8e990d3de42fcb24d23cacdf8a">FP12_BN254CX_fromOctet</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#ad6078ec7d87f32b8da324638534a0986">FP12_BN254CX_trace</a>(<a class="code" href="structFP4__BN254CX.html">FP4_BN254CX</a> *t,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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__BN254CX_8h.html#a045659409044c34a9710e16823f593ae">FP12_BN254CX_cmove</a>(<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</a> *x,<a class="code" href="structFP12__BN254CX.html">FP12_BN254CX</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="fp12__BN254CX_8h_html_afd404682b03b385eb712aced79bc9993"><div class="ttname"><a href="fp12__BN254CX_8h.html#afd404682b03b385eb712aced79bc9993">FP12_BN254CX_one</a></div><div class="ttdeci">void FP12_BN254CX_one(FP12_BN254CX *x)</div><div class="ttdoc">Set FP12 to unity. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:90</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a7936143113cbe7579a419b3015aa2c03"><div class="ttname"><a href="fp12__BN254CX_8h.html#a7936143113cbe7579a419b3015aa2c03">FP12_BN254CX_output</a></div><div class="ttdeci">void FP12_BN254CX_output(FP12_BN254CX *x)</div><div class="ttdoc">Formats and outputs an FP12 to the console. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:859</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a853ab74929e11fd8f5fabf31807ae711"><div class="ttname"><a href="fp12__BN254CX_8h.html#a853ab74929e11fd8f5fabf31807ae711">FP12_BN254CX_toOctet</a></div><div class="ttdeci">void FP12_BN254CX_toOctet(octet *S, FP12_BN254CX *x)</div><div class="ttdoc">Formats and outputs an FP12 instance to an octet string. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:872</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_abf58575e12f7c4fef0ad2f6ee6091321"><div class="ttname"><a href="fp12__BN254CX_8h.html#abf58575e12f7c4fef0ad2f6ee6091321">FP12_BN254CX_ssmul</a></div><div class="ttdeci">void FP12_BN254CX_ssmul(FP12_BN254CX *x, FP12_BN254CX *y)</div><div class="ttdoc">Fast multiplication of what may be sparse multiplicands. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:302</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_ae49d1e41a322ab3f79979d156a322aa0"><div class="ttname"><a href="fp12__BN254CX_8h.html#ae49d1e41a322ab3f79979d156a322aa0">FP12_BN254CX_norm</a></div><div class="ttdeci">void FP12_BN254CX_norm(FP12_BN254CX *x)</div><div class="ttdoc">Normalises the components of an FP12. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:833</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_aaf362e192badd85c5df50d36aacd183a"><div class="ttname"><a href="fp12__BN254CX_8h.html#aaf362e192badd85c5df50d36aacd183a">FP12_BN254CX_pow</a></div><div class="ttdeci">void FP12_BN254CX_pow(FP12_BN254CX *r, FP12_BN254CX *x, BIG_256_56 b)</div><div class="ttdoc">Raises an FP12 to the power of a BIG. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:692</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a3f06687cfe5b2096991ed3a05d05bfcb"><div class="ttname"><a href="fp12__BN254CX_8h.html#a3f06687cfe5b2096991ed3a05d05bfcb">FP12_BN254CX_iszilch</a></div><div class="ttdeci">int FP12_BN254CX_iszilch(FP12_BN254CX *x)</div><div class="ttdoc">Tests for FP12 equal to zero. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:63</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a3f6a0918b1c06943ffa07d016f256b59"><div class="ttname"><a href="fp12__BN254CX_8h.html#a3f6a0918b1c06943ffa07d016f256b59">FP12_BN254CX_zero</a></div><div class="ttdeci">void FP12_BN254CX_zero(FP12_BN254CX *x)</div><div class="ttdoc">Set FP12 to zero. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:98</div></div>
<div class="ttc" id="fp4__BN254CX_8h_html"><div class="ttname"><a href="fp4__BN254CX_8h.html">fp4_BN254CX.h</a></div><div class="ttdoc">FP4 Header File. </div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a1ed6c8256139ec7dcdb96a1c993d7d25"><div class="ttname"><a href="fp12__BN254CX_8h.html#a1ed6c8256139ec7dcdb96a1c993d7d25">FP12_BN254CX_mul</a></div><div class="ttdeci">void FP12_BN254CX_mul(FP12_BN254CX *x, FP12_BN254CX *y)</div><div class="ttdoc">Full unconditional Multiplication of two FP12s. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:245</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a33c6b196a1129e47497d25dc75168196"><div class="ttname"><a href="fp12__BN254CX_8h.html#a33c6b196a1129e47497d25dc75168196">FP12_BN254CX_isunity</a></div><div class="ttdeci">int FP12_BN254CX_isunity(FP12_BN254CX *x)</div><div class="ttdoc">Tests for FP12 equal to unity. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:71</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a8afff56eb643aff310eeede416c8344d"><div class="ttname"><a href="fp12__BN254CX_8h.html#a8afff56eb643aff310eeede416c8344d">FP12_BN254CX_compow</a></div><div class="ttdeci">void FP12_BN254CX_compow(FP4_BN254CX *c, FP12_BN254CX *x, BIG_256_56 e, BIG_256_56 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_BN254CX.c:642</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_ae8b4d5493df72b955531eefbb441f99d"><div class="ttname"><a href="fp12__BN254CX_8h.html#ae8b4d5493df72b955531eefbb441f99d">FP12_BN254CX_from_FP4s</a></div><div class="ttdeci">void FP12_BN254CX_from_FP4s(FP12_BN254CX *x, FP4_BN254CX *a, FP4_BN254CX *b, FP4_BN254CX *c)</div><div class="ttdoc">Initialise FP12 from three FP4s. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:137</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__BN254CX_8h_html_a045659409044c34a9710e16823f593ae"><div class="ttname"><a href="fp12__BN254CX_8h.html#a045659409044c34a9710e16823f593ae">FP12_BN254CX_cmove</a></div><div class="ttdeci">void FP12_BN254CX_cmove(FP12_BN254CX *x, FP12_BN254CX *y, int s)</div><div class="ttdoc">Conditional copy of FP12 number. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:935</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a6e9d0ad2c27f88469eb4270214e1aed0"><div class="ttname"><a href="fp12__BN254CX_8h.html#a6e9d0ad2c27f88469eb4270214e1aed0">FP12_BN254CX_smul</a></div><div class="ttdeci">void FP12_BN254CX_smul(FP12_BN254CX *x, FP12_BN254CX *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_BN254CX.c:480</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_ab564c5908da65319c6fc1ab4cdb69a02"><div class="ttname"><a href="fp12__BN254CX_8h.html#ab564c5908da65319c6fc1ab4cdb69a02">FP12_BN254CX_frob</a></div><div class="ttdeci">void FP12_BN254CX_frob(FP12_BN254CX *x, FP2_BN254CX *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_BN254CX.c:816</div></div>
<div class="ttc" id="structFP12__BN254CX_html_a1c44eb3094a89d395d24278502309946"><div class="ttname"><a href="structFP12__BN254CX.html#a1c44eb3094a89d395d24278502309946">FP12_BN254CX::c</a></div><div class="ttdeci">FP4_BN254CX c</div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.h:40</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a229277145ef3750739c7d7854c6ad99e"><div class="ttname"><a href="fp12__BN254CX_8h.html#a229277145ef3750739c7d7854c6ad99e">FP12_BN254CX_from_FP4</a></div><div class="ttdeci">void FP12_BN254CX_from_FP4(FP12_BN254CX *x, FP4_BN254CX *a)</div><div class="ttdoc">Initialise FP12 from single FP4. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:127</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a7db04864699b37fec47566f88d7aea92"><div class="ttname"><a href="fp12__BN254CX_8h.html#a7db04864699b37fec47566f88d7aea92">FP12_BN254CX_pinpow</a></div><div class="ttdeci">void FP12_BN254CX_pinpow(FP12_BN254CX *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_BN254CX.c:623</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a16b252eda76f36d20aba57239f4cdffd"><div class="ttname"><a href="fp12__BN254CX_8h.html#a16b252eda76f36d20aba57239f4cdffd">FP12_BN254CX_pow4</a></div><div class="ttdeci">void FP12_BN254CX_pow4(FP12_BN254CX *r, FP12_BN254CX *x, BIG_256_56 *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="structFP4__BN254CX_html"><div class="ttname"><a href="structFP4__BN254CX.html">FP4_BN254CX</a></div><div class="ttdoc">FP4 Structure - towered over two FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BN254CX.h:37</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_aea6e8b840d8904b3ff889e53f28b141f"><div class="ttname"><a href="fp12__BN254CX_8h.html#aea6e8b840d8904b3ff889e53f28b141f">FP12_BN254CX_reduce</a></div><div class="ttdeci">void FP12_BN254CX_reduce(FP12_BN254CX *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP12 mod Modulus. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:842</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a98f8df4044b548abe01499c928a9df9f"><div class="ttname"><a href="fp12__BN254CX_8h.html#a98f8df4044b548abe01499c928a9df9f">FP12_BN254CX_sqr</a></div><div class="ttdeci">void FP12_BN254CX_sqr(FP12_BN254CX *x, FP12_BN254CX *y)</div><div class="ttdoc">Squaring an FP12. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:189</div></div>
<div class="ttc" id="structFP12__BN254CX_html_a4d36a7cb7bf145de779ee8ae4fb53f0b"><div class="ttname"><a href="structFP12__BN254CX.html#a4d36a7cb7bf145de779ee8ae4fb53f0b">FP12_BN254CX::type</a></div><div class="ttdeci">int type</div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.h:41</div></div>
<div class="ttc" id="structFP12__BN254CX_html_a931211b2d8ca389cbb082974223834bb"><div class="ttname"><a href="structFP12__BN254CX.html#a931211b2d8ca389cbb082974223834bb">FP12_BN254CX::a</a></div><div class="ttdeci">FP4_BN254CX a</div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.h:38</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a6faf844be96d5ff48e3ae1d8b0c75830"><div class="ttname"><a href="fp12__BN254CX_8h.html#a6faf844be96d5ff48e3ae1d8b0c75830">Fra_BN254CX</a></div><div class="ttdeci">const BIG_256_56 Fra_BN254CX</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_afe51f34d41c0c34338c4d2a615e9f661"><div class="ttname"><a href="fp12__BN254CX_8h.html#afe51f34d41c0c34338c4d2a615e9f661">FP12_BN254CX_usqr</a></div><div class="ttdeci">void FP12_BN254CX_usqr(FP12_BN254CX *x, FP12_BN254CX *y)</div><div class="ttdoc">Fast Squaring of an FP12 in &quot;unitary&quot; form. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:147</div></div>
<div class="ttc" id="structFP12__BN254CX_html"><div class="ttname"><a href="structFP12__BN254CX.html">FP12_BN254CX</a></div><div class="ttdoc">FP12 Structure - towered over three FP4. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.h:36</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a9622f54f9f3d2c134039afc806e9b8d4"><div class="ttname"><a href="fp12__BN254CX_8h.html#a9622f54f9f3d2c134039afc806e9b8d4">FP12_BN254CX_conj</a></div><div class="ttdeci">void FP12_BN254CX_conj(FP12_BN254CX *x, FP12_BN254CX *y)</div><div class="ttdoc">Conjugation of FP12. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:117</div></div>
<div class="ttc" id="big__256__56_8h_html_abea3e70a8a87f28329ed8e48af7bb244"><div class="ttname"><a href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a></div><div class="ttdeci">chunk BIG_256_56[NLEN_256_56]</div><div class="ttdef"><b>Definition:</b> big_256_56.h:58</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_af0391c8e990d3de42fcb24d23cacdf8a"><div class="ttname"><a href="fp12__BN254CX_8h.html#af0391c8e990d3de42fcb24d23cacdf8a">FP12_BN254CX_fromOctet</a></div><div class="ttdeci">void FP12_BN254CX_fromOctet(FP12_BN254CX *x, octet *S)</div><div class="ttdoc">Creates an FP12 instance from an octet string. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:905</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a9dfcacd92e055a164bb04436de415569"><div class="ttname"><a href="fp12__BN254CX_8h.html#a9dfcacd92e055a164bb04436de415569">FP12_BN254CX_copy</a></div><div class="ttdeci">void FP12_BN254CX_copy(FP12_BN254CX *x, FP12_BN254CX *y)</div><div class="ttdoc">Copy FP12 to another FP12. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:79</div></div>
<div class="ttc" id="structFP2__BN254CX_html"><div class="ttname"><a href="structFP2__BN254CX.html">FP2_BN254CX</a></div><div class="ttdoc">FP2 Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.h:36</div></div>
<div class="ttc" id="structFP12__BN254CX_html_a386bbb29e67ca65e44945791a9a86f3c"><div class="ttname"><a href="structFP12__BN254CX.html#a386bbb29e67ca65e44945791a9a86f3c">FP12_BN254CX::b</a></div><div class="ttdeci">FP4_BN254CX b</div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.h:39</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_afdbf1fc16acb5dae4435e46e99bae4be"><div class="ttname"><a href="fp12__BN254CX_8h.html#afdbf1fc16acb5dae4435e46e99bae4be">FP12_BN254CX_inv</a></div><div class="ttdeci">void FP12_BN254CX_inv(FP12_BN254CX *x, FP12_BN254CX *y)</div><div class="ttdoc">Inverting an FP12. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:582</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_ad6078ec7d87f32b8da324638534a0986"><div class="ttname"><a href="fp12__BN254CX_8h.html#ad6078ec7d87f32b8da324638534a0986">FP12_BN254CX_trace</a></div><div class="ttdeci">void FP12_BN254CX_trace(FP4_BN254CX *t, FP12_BN254CX *x)</div><div class="ttdoc">Calculate the trace of an FP12. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:851</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a17fa2a380fb640a2993fabf146be444b"><div class="ttname"><a href="fp12__BN254CX_8h.html#a17fa2a380fb640a2993fabf146be444b">Frb_BN254CX</a></div><div class="ttdeci">const BIG_256_56 Frb_BN254CX</div></div>
<div class="ttc" id="fp12__BN254CX_8h_html_a038cc63f3849780d38d5b8417810e334"><div class="ttname"><a href="fp12__BN254CX_8h.html#a038cc63f3849780d38d5b8417810e334">FP12_BN254CX_equals</a></div><div class="ttdeci">int FP12_BN254CX_equals(FP12_BN254CX *x, FP12_BN254CX *y)</div><div class="ttdoc">Tests for equality of two FP12s. </div><div class="ttdef"><b>Definition:</b> fp12_BN254CX.c:108</div></div>
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