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<a href="fp4__BN254_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 FP4_BN254_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP4_BN254_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="fp2__BN254_8h.html">fp2_BN254.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;config_curve_BN254.h&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;</div><div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="structFP4__BN254.html"> 37</a></span>&#160;<span class="keyword">typedef</span> <span class="keyword">struct</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;{</div><div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="structFP4__BN254.html#a5d2c39d05d12975d4ac03386c52f98ea"> 39</a></span>&#160; <a class="code" href="structFP2__BN254.html">FP2_BN254</a> <a class="code" href="structFP4__BN254.html#a5d2c39d05d12975d4ac03386c52f98ea">a</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structFP4__BN254.html#a29bbb32252281a775bd23f7c9adf41f5"> 40</a></span>&#160; <a class="code" href="structFP2__BN254.html">FP2_BN254</a> <a class="code" href="structFP4__BN254.html#a29bbb32252281a775bd23f7c9adf41f5">b</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;} <a class="code" href="structFP4__BN254.html">FP4_BN254</a>;</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;</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="comment">/* FP4 prototypes */</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__BN254_8h.html#aa83c0350e09a654e0219aff0dd9df1d0">FP4_BN254_iszilch</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__BN254_8h.html#a56e15938762d9e097e31c258a4dcc74e">FP4_BN254_isunity</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__BN254_8h.html#a521bbe885e3e4bbe780ce3e890b4dfda">FP4_BN254_equals</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y);</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__BN254_8h.html#aa3bdff6a286155a80e524f511180c3af">FP4_BN254_isreal</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</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="fp4__BN254_8h.html#ae2e42bfea7bd6ddec3f00e783f6c47d9">FP4_BN254_from_FP2s</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *a,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *b);</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a667460a185bbd20c2fa67c3160384b48">FP4_BN254_from_FP2</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *a);</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;</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="fp4__BN254_8h.html#aef4a30f1f025b0f81462fdbc403dcc84">FP4_BN254_from_FP2H</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *a);</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#af38fb58d4385ea9bd816ca9702feb544">FP4_BN254_copy</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y);</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#aed690456e48247df5176b15ec6a10371">FP4_BN254_zero</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#aaa60ecdd37b2b400d549ad8465a05425">FP4_BN254_one</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#ab0c11f83f08c7eec9d17ce7fb52f3218">FP4_BN254_neg</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y);</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a651ab29c2558572bd267a1fc2e36001b">FP4_BN254_conj</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y);</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a099f94de010153ffdbba4adcce26d280">FP4_BN254_nconj</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y);</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#aaa51737d39e4d9ac302ff0bf29fbf3f2">FP4_BN254_add</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *z);</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#ab0a3d5b8a0a73cc5c759b47b4a32cf38">FP4_BN254_sub</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *z);</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a0f24c196af5251895abf9c5a4bc18422">FP4_BN254_pmul</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *a);</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a8dc66280e767d60554ef27a7f017b83d">FP4_BN254_qmul</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y,<a class="code" href="structFP__BN254.html">FP_BN254</a> *a);</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#aad333ebb28b11bfa722b301d4aa1502a">FP4_BN254_imul</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y,<span class="keywordtype">int</span> i);</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a657fe6418be98756c9938a28722d8579">FP4_BN254_sqr</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y);</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a3042df2a7a20fe04c8f1468ee8a278c3">FP4_BN254_mul</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *z);</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a41b78481da2b5651bb7068ef4ea0a7bd">FP4_BN254_inv</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y);</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a7571f07e93d30cdb0889413da6fe466c">FP4_BN254_output</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a0c049d20e51167cbe3728585fcbd00af">FP4_BN254_rawoutput</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a40fa376337bdd88ca9cd2f0cd4e0c161">FP4_BN254_times_i</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</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="fp4__BN254_8h.html#a40e7899a49a34a23cc8bd7e60e84d2d7">FP4_BN254_norm</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#aeefd1224bd2e1f3937f588955fd7b226">FP4_BN254_reduce</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#ad25b69dfc45183709fc8fd69169bc548">FP4_BN254_pow</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a8b41a10f71b94c63f53a74e20e8a6665">FP4_BN254_frob</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *f);</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a07c983031babda29ee8435990d7e224d">FP4_BN254_xtr_A</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *r,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *w,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *z);</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a06437b27677caa8a79725d08cb2d5a6f">FP4_BN254_xtr_D</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *r,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#afa02d66a51bdfcd6c47c71348e546c20">FP4_BN254_xtr_pow</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *r,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a4909b0bd405391c0899b5904548a751d">FP4_BN254_xtr_pow2</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *r,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *c,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *d,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *e,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *f,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> a,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160;</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#aef07ce27faeeadde2ac9e8205bc1ce02">FP4_BN254_cmove</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y,<span class="keywordtype">int</span> s);</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__BN254_8h.html#ac35aa5110e1a581fe6ad287efd7d08bc">FP4_BN254_sqrt</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *r,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160;</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160;</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#aa0810ddc046fbd3612dbb9695725a25b">FP4_BN254_div_i</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a33faf9fd1b23e8a90a01f801256c23a8">FP4_BN254_div_2i</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x);</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__BN254_8h.html#a5bfff796a0a38114bb6ab4b22de789b6">FP4_BN254_div2</a>(<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *x,<a class="code" href="structFP4__BN254.html">FP4_BN254</a> *y);</div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160;</div><div class="ttc" id="fp4__BN254_8h_html_aeefd1224bd2e1f3937f588955fd7b226"><div class="ttname"><a href="fp4__BN254_8h.html#aeefd1224bd2e1f3937f588955fd7b226">FP4_BN254_reduce</a></div><div class="ttdeci">void FP4_BN254_reduce(FP4_BN254 *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP4 mod Modulus. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:158</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a41b78481da2b5651bb7068ef4ea0a7bd"><div class="ttname"><a href="fp4__BN254_8h.html#a41b78481da2b5651bb7068ef4ea0a7bd">FP4_BN254_inv</a></div><div class="ttdeci">void FP4_BN254_inv(FP4_BN254 *x, FP4_BN254 *y)</div><div class="ttdoc">Inverting an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:279</div></div>
<div class="ttc" id="fp4__BN254_8h_html_aef07ce27faeeadde2ac9e8205bc1ce02"><div class="ttname"><a href="fp4__BN254_8h.html#aef07ce27faeeadde2ac9e8205bc1ce02">FP4_BN254_cmove</a></div><div class="ttdeci">void FP4_BN254_cmove(FP4_BN254 *x, FP4_BN254 *y, int s)</div><div class="ttdoc">Conditional copy of FP4 number. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:577</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a3042df2a7a20fe04c8f1468ee8a278c3"><div class="ttname"><a href="fp4__BN254_8h.html#a3042df2a7a20fe04c8f1468ee8a278c3">FP4_BN254_mul</a></div><div class="ttdeci">void FP4_BN254_mul(FP4_BN254 *x, FP4_BN254 *y, FP4_BN254 *z)</div><div class="ttdoc">Multiplication of two FP4s. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:228</div></div>
<div class="ttc" id="fp4__BN254_8h_html_ab0c11f83f08c7eec9d17ce7fb52f3218"><div class="ttname"><a href="fp4__BN254_8h.html#ab0c11f83f08c7eec9d17ce7fb52f3218">FP4_BN254_neg</a></div><div class="ttdeci">void FP4_BN254_neg(FP4_BN254 *x, FP4_BN254 *y)</div><div class="ttdoc">Negation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:109</div></div>
<div class="ttc" id="structFP2__BN254_html"><div class="ttname"><a href="structFP2__BN254.html">FP2_BN254</a></div><div class="ttdoc">FP2 Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp2_BN254.h:36</div></div>
<div class="ttc" id="fp4__BN254_8h_html_ac35aa5110e1a581fe6ad287efd7d08bc"><div class="ttname"><a href="fp4__BN254_8h.html#ac35aa5110e1a581fe6ad287efd7d08bc">FP4_BN254_sqrt</a></div><div class="ttdeci">int FP4_BN254_sqrt(FP4_BN254 *r, FP4_BN254 *x)</div><div class="ttdoc">Calculate square root of an FP4. </div></div>
<div class="ttc" id="fp4__BN254_8h_html_aad333ebb28b11bfa722b301d4aa1502a"><div class="ttname"><a href="fp4__BN254_8h.html#aad333ebb28b11bfa722b301d4aa1502a">FP4_BN254_imul</a></div><div class="ttdeci">void FP4_BN254_imul(FP4_BN254 *x, FP4_BN254 *y, int i)</div><div class="ttdoc">Multiplication of an FP4 by a small integer. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:189</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a56e15938762d9e097e31c258a4dcc74e"><div class="ttname"><a href="fp4__BN254_8h.html#a56e15938762d9e097e31c258a4dcc74e">FP4_BN254_isunity</a></div><div class="ttdeci">int FP4_BN254_isunity(FP4_BN254 *x)</div><div class="ttdoc">Tests for FP4 equal to unity. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:37</div></div>
<div class="ttc" id="structFP__BN254_html"><div class="ttname"><a href="structFP__BN254.html">FP_BN254</a></div><div class="ttdoc">FP Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp_BN254.h:38</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a33faf9fd1b23e8a90a01f801256c23a8"><div class="ttname"><a href="fp4__BN254_8h.html#a33faf9fd1b23e8a90a01f801256c23a8">FP4_BN254_div_2i</a></div><div class="ttdeci">void FP4_BN254_div_2i(FP4_BN254 *x)</div><div class="ttdoc">Divide an FP4 by QNR/2. </div></div>
<div class="ttc" id="fp4__BN254_8h_html_af38fb58d4385ea9bd816ca9702feb544"><div class="ttname"><a href="fp4__BN254_8h.html#af38fb58d4385ea9bd816ca9702feb544">FP4_BN254_copy</a></div><div class="ttdeci">void FP4_BN254_copy(FP4_BN254 *x, FP4_BN254 *y)</div><div class="ttdoc">Copy FP4 to another FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:84</div></div>
<div class="ttc" id="structFP4__BN254_html"><div class="ttname"><a href="structFP4__BN254.html">FP4_BN254</a></div><div class="ttdoc">FP4 Structure - towered over two FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.h:37</div></div>
<div class="ttc" id="fp4__BN254_8h_html_aa83c0350e09a654e0219aff0dd9df1d0"><div class="ttname"><a href="fp4__BN254_8h.html#aa83c0350e09a654e0219aff0dd9df1d0">FP4_BN254_iszilch</a></div><div class="ttdeci">int FP4_BN254_iszilch(FP4_BN254 *x)</div><div class="ttdoc">Tests for FP4 equal to zero. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:29</div></div>
<div class="ttc" id="fp4__BN254_8h_html_aaa51737d39e4d9ac302ff0bf29fbf3f2"><div class="ttname"><a href="fp4__BN254_8h.html#aaa51737d39e4d9ac302ff0bf29fbf3f2">FP4_BN254_add</a></div><div class="ttdeci">void FP4_BN254_add(FP4_BN254 *x, FP4_BN254 *y, FP4_BN254 *z)</div><div class="ttdoc">addition of two FP4s </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:142</div></div>
<div class="ttc" id="fp4__BN254_8h_html_afa02d66a51bdfcd6c47c71348e546c20"><div class="ttname"><a href="fp4__BN254_8h.html#afa02d66a51bdfcd6c47c71348e546c20">FP4_BN254_xtr_pow</a></div><div class="ttdeci">void FP4_BN254_xtr_pow(FP4_BN254 *r, FP4_BN254 *x, BIG_256_56 b)</div><div class="ttdoc">Calculates FP4 trace of an FP12 raised to the power of a BIG number. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:387</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a07c983031babda29ee8435990d7e224d"><div class="ttname"><a href="fp4__BN254_8h.html#a07c983031babda29ee8435990d7e224d">FP4_BN254_xtr_A</a></div><div class="ttdeci">void FP4_BN254_xtr_A(FP4_BN254 *r, FP4_BN254 *w, FP4_BN254 *x, FP4_BN254 *y, FP4_BN254 *z)</div><div class="ttdoc">Calculates the XTR addition function r=w*x-conj(x)*y+z. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:353</div></div>
<div class="ttc" id="fp4__BN254_8h_html_aa0810ddc046fbd3612dbb9695725a25b"><div class="ttname"><a href="fp4__BN254_8h.html#aa0810ddc046fbd3612dbb9695725a25b">FP4_BN254_div_i</a></div><div class="ttdeci">void FP4_BN254_div_i(FP4_BN254 *x)</div><div class="ttdoc">Divide FP4 number by QNR. </div></div>
<div class="ttc" id="fp4__BN254_8h_html_aed690456e48247df5176b15ec6a10371"><div class="ttname"><a href="fp4__BN254_8h.html#aed690456e48247df5176b15ec6a10371">FP4_BN254_zero</a></div><div class="ttdeci">void FP4_BN254_zero(FP4_BN254 *x)</div><div class="ttdoc">Set FP4 to zero. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:93</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a8b41a10f71b94c63f53a74e20e8a6665"><div class="ttname"><a href="fp4__BN254_8h.html#a8b41a10f71b94c63f53a74e20e8a6665">FP4_BN254_frob</a></div><div class="ttdeci">void FP4_BN254_frob(FP4_BN254 *x, FP2_BN254 *f)</div><div class="ttdoc">Raises an FP4 to the power of the internal modulus p, using the Frobenius. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:317</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a06437b27677caa8a79725d08cb2d5a6f"><div class="ttname"><a href="fp4__BN254_8h.html#a06437b27677caa8a79725d08cb2d5a6f">FP4_BN254_xtr_D</a></div><div class="ttdeci">void FP4_BN254_xtr_D(FP4_BN254 *r, FP4_BN254 *x)</div><div class="ttdoc">Calculates the XTR doubling function r=x^2-2*conj(x) </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:373</div></div>
<div class="ttc" id="fp4__BN254_8h_html_ab0a3d5b8a0a73cc5c759b47b4a32cf38"><div class="ttname"><a href="fp4__BN254_8h.html#ab0a3d5b8a0a73cc5c759b47b4a32cf38">FP4_BN254_sub</a></div><div class="ttdeci">void FP4_BN254_sub(FP4_BN254 *x, FP4_BN254 *y, FP4_BN254 *z)</div><div class="ttdoc">subtraction of two FP4s </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:150</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a5bfff796a0a38114bb6ab4b22de789b6"><div class="ttname"><a href="fp4__BN254_8h.html#a5bfff796a0a38114bb6ab4b22de789b6">FP4_BN254_div2</a></div><div class="ttdeci">void FP4_BN254_div2(FP4_BN254 *x, FP4_BN254 *y)</div><div class="ttdoc">Divide an FP4 by 2. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:586</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a4909b0bd405391c0899b5904548a751d"><div class="ttname"><a href="fp4__BN254_8h.html#a4909b0bd405391c0899b5904548a751d">FP4_BN254_xtr_pow2</a></div><div class="ttdeci">void FP4_BN254_xtr_pow2(FP4_BN254 *r, FP4_BN254 *c, FP4_BN254 *d, FP4_BN254 *e, FP4_BN254 *f, BIG_256_56 a, BIG_256_56 b)</div><div class="ttdoc">Calculates FP4 trace of c^a.d^b, where c and d are derived from FP4 traces of FP12s. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:444</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a099f94de010153ffdbba4adcce26d280"><div class="ttname"><a href="fp4__BN254_8h.html#a099f94de010153ffdbba4adcce26d280">FP4_BN254_nconj</a></div><div class="ttdeci">void FP4_BN254_nconj(FP4_BN254 *x, FP4_BN254 *y)</div><div class="ttdoc">Negative conjugation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:133</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a667460a185bbd20c2fa67c3160384b48"><div class="ttname"><a href="fp4__BN254_8h.html#a667460a185bbd20c2fa67c3160384b48">FP4_BN254_from_FP2</a></div><div class="ttdeci">void FP4_BN254_from_FP2(FP4_BN254 *x, FP2_BN254 *a)</div><div class="ttdoc">Initialise FP4 from single FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:68</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a521bbe885e3e4bbe780ce3e890b4dfda"><div class="ttname"><a href="fp4__BN254_8h.html#a521bbe885e3e4bbe780ce3e890b4dfda">FP4_BN254_equals</a></div><div class="ttdeci">int FP4_BN254_equals(FP4_BN254 *x, FP4_BN254 *y)</div><div class="ttdoc">Tests for equality of two FP4s. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:51</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a8dc66280e767d60554ef27a7f017b83d"><div class="ttname"><a href="fp4__BN254_8h.html#a8dc66280e767d60554ef27a7f017b83d">FP4_BN254_qmul</a></div><div class="ttdeci">void FP4_BN254_qmul(FP4_BN254 *x, FP4_BN254 *y, FP_BN254 *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:181</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a40fa376337bdd88ca9cd2f0cd4e0c161"><div class="ttname"><a href="fp4__BN254_8h.html#a40fa376337bdd88ca9cd2f0cd4e0c161">FP4_BN254_times_i</a></div><div class="ttdeci">void FP4_BN254_times_i(FP4_BN254 *x)</div><div class="ttdoc">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:296</div></div>
<div class="ttc" id="structFP4__BN254_html_a29bbb32252281a775bd23f7c9adf41f5"><div class="ttname"><a href="structFP4__BN254.html#a29bbb32252281a775bd23f7c9adf41f5">FP4_BN254::b</a></div><div class="ttdeci">FP2_BN254 b</div><div class="ttdef"><b>Definition:</b> fp4_BN254.h:40</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a0c049d20e51167cbe3728585fcbd00af"><div class="ttname"><a href="fp4__BN254_8h.html#a0c049d20e51167cbe3728585fcbd00af">FP4_BN254_rawoutput</a></div><div class="ttdeci">void FP4_BN254_rawoutput(FP4_BN254 *x)</div><div class="ttdoc">Formats and outputs an FP4 to the console in raw form (for debugging) </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:268</div></div>
<div class="ttc" id="structFP4__BN254_html_a5d2c39d05d12975d4ac03386c52f98ea"><div class="ttname"><a href="structFP4__BN254.html#a5d2c39d05d12975d4ac03386c52f98ea">FP4_BN254::a</a></div><div class="ttdeci">FP2_BN254 a</div><div class="ttdef"><b>Definition:</b> fp4_BN254.h:39</div></div>
<div class="ttc" id="fp4__BN254_8h_html_ad25b69dfc45183709fc8fd69169bc548"><div class="ttname"><a href="fp4__BN254_8h.html#ad25b69dfc45183709fc8fd69169bc548">FP4_BN254_pow</a></div><div class="ttdeci">void FP4_BN254_pow(FP4_BN254 *x, FP4_BN254 *y, BIG_256_56 b)</div><div class="ttdoc">Raises an FP4 to the power of a BIG. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:326</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a0f24c196af5251895abf9c5a4bc18422"><div class="ttname"><a href="fp4__BN254_8h.html#a0f24c196af5251895abf9c5a4bc18422">FP4_BN254_pmul</a></div><div class="ttdeci">void FP4_BN254_pmul(FP4_BN254 *x, FP4_BN254 *y, FP2_BN254 *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:174</div></div>
<div class="ttc" id="fp4__BN254_8h_html_aa3bdff6a286155a80e524f511180c3af"><div class="ttname"><a href="fp4__BN254_8h.html#aa3bdff6a286155a80e524f511180c3af">FP4_BN254_isreal</a></div><div class="ttdeci">int FP4_BN254_isreal(FP4_BN254 *x)</div><div class="ttdoc">Tests for FP4 having only a real part and no imaginary part. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:44</div></div>
<div class="ttc" id="fp4__BN254_8h_html_aaa60ecdd37b2b400d549ad8465a05425"><div class="ttname"><a href="fp4__BN254_8h.html#aaa60ecdd37b2b400d549ad8465a05425">FP4_BN254_one</a></div><div class="ttdeci">void FP4_BN254_one(FP4_BN254 *x)</div><div class="ttdoc">Set FP4 to unity. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:101</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a40e7899a49a34a23cc8bd7e60e84d2d7"><div class="ttname"><a href="fp4__BN254_8h.html#a40e7899a49a34a23cc8bd7e60e84d2d7">FP4_BN254_norm</a></div><div class="ttdeci">void FP4_BN254_norm(FP4_BN254 *x)</div><div class="ttdoc">Normalises the components of an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:166</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a657fe6418be98756c9938a28722d8579"><div class="ttname"><a href="fp4__BN254_8h.html#a657fe6418be98756c9938a28722d8579">FP4_BN254_sqr</a></div><div class="ttdeci">void FP4_BN254_sqr(FP4_BN254 *x, FP4_BN254 *y)</div><div class="ttdoc">Squaring an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:197</div></div>
<div class="ttc" id="fp2__BN254_8h_html"><div class="ttname"><a href="fp2__BN254_8h.html">fp2_BN254.h</a></div><div class="ttdoc">FP2 Header File. </div></div>
<div class="ttc" id="fp4__BN254_8h_html_ae2e42bfea7bd6ddec3f00e783f6c47d9"><div class="ttname"><a href="fp4__BN254_8h.html#ae2e42bfea7bd6ddec3f00e783f6c47d9">FP4_BN254_from_FP2s</a></div><div class="ttdeci">void FP4_BN254_from_FP2s(FP4_BN254 *x, FP2_BN254 *a, FP2_BN254 *b)</div><div class="ttdoc">Initialise FP4 from two FP2s. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:60</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="fp4__BN254_8h_html_aef4a30f1f025b0f81462fdbc403dcc84"><div class="ttname"><a href="fp4__BN254_8h.html#aef4a30f1f025b0f81462fdbc403dcc84">FP4_BN254_from_FP2H</a></div><div class="ttdeci">void FP4_BN254_from_FP2H(FP4_BN254 *x, FP2_BN254 *a)</div><div class="ttdoc">Initialise FP4 from single FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:76</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a651ab29c2558572bd267a1fc2e36001b"><div class="ttname"><a href="fp4__BN254_8h.html#a651ab29c2558572bd267a1fc2e36001b">FP4_BN254_conj</a></div><div class="ttdeci">void FP4_BN254_conj(FP4_BN254 *x, FP4_BN254 *y)</div><div class="ttdoc">Conjugation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:124</div></div>
<div class="ttc" id="fp4__BN254_8h_html_a7571f07e93d30cdb0889413da6fe466c"><div class="ttname"><a href="fp4__BN254_8h.html#a7571f07e93d30cdb0889413da6fe466c">FP4_BN254_output</a></div><div class="ttdeci">void FP4_BN254_output(FP4_BN254 *x)</div><div class="ttdoc">Formats and outputs an FP4 to the console. </div><div class="ttdef"><b>Definition:</b> fp4_BN254.c:258</div></div>
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