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<a href="fp4__BLS381_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> Licensed to the Apache Software Foundation (ASF) under one</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> or more contributor license agreements. See the NOTICE file</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> distributed with this work for additional information</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> regarding copyright ownership. The ASF licenses this file</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> to you under the Apache License, Version 2.0 (the</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> &quot;License&quot;); you may not use this file except in compliance</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> with the License. You may obtain a copy of the License at</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment"> Unless required by applicable law or agreed to in writing,</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"> software distributed under the License is distributed on an</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment"> &quot;AS IS&quot; BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> KIND, either express or implied. See the License for the</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> specific language governing permissions and limitations</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> under the License.</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#ifndef FP4_BLS381_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP4_BLS381_H</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="fp2__BLS381_8h.html">fp2_BLS381.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_BLS381.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__BLS381.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__BLS381.html#a899f33e45062a3d340930fa31b1965d4"> 39</a></span>&#160; <a class="code" href="structFP2__BLS381.html">FP2_BLS381</a> <a class="code" href="structFP4__BLS381.html#a899f33e45062a3d340930fa31b1965d4">a</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structFP4__BLS381.html#a8f2c3b4c985c0901afc03685d09819c3"> 40</a></span>&#160; <a class="code" href="structFP2__BLS381.html">FP2_BLS381</a> <a class="code" href="structFP4__BLS381.html#a8f2c3b4c985c0901afc03685d09819c3">b</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;} <a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#aa51157714a2a0e4a5c50e64cd504fe46">FP4_BLS381_iszilch</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#af9cf51971cc8f573c7344558d1339789">FP4_BLS381_isunity</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#aac0ad2e15f4cc8f49f83e601ab5f671f">FP4_BLS381_equals</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#aa662afe5c788246962d2c96755dd3c1d">FP4_BLS381_isreal</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#af5d76817be2ee127e046e643f39b6a75">FP4_BLS381_from_FP2s</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP2__BLS381.html">FP2_BLS381</a> *a,<a class="code" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381_8h.html#a4daafa3cb6a391dfcb5f41820afa9c7a">FP4_BLS381_from_FP2</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381_8h.html#a742271ef2bb176f6497e902f07052025">FP4_BLS381_from_FP2H</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381_8h.html#a70c4281ed16fcad78ee7e0b3fb2f6bf9">FP4_BLS381_copy</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a4b786b60ed5079d3adc5e0b5133d6517">FP4_BLS381_zero</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#ab50beba776de6e348b054362008d4728">FP4_BLS381_one</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a2946cee8c062bd7380d7d8c7747bb9be">FP4_BLS381_neg</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#ae493deeb5cec8fb062bd7151df22236f">FP4_BLS381_conj</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a8e5b68257df8c729f8c1d6b96ef23592">FP4_BLS381_nconj</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a707b4c9c640bd8a4e88dfc4c808c9a2c">FP4_BLS381_add</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *y,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#aa0923c97b9168620ba93e4f242a889a5">FP4_BLS381_sub</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *y,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#ae7dd9851711144d355178b3d48fc67ad">FP4_BLS381_pmul</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *y,<a class="code" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381_8h.html#aae7d3c9887889f5f575fe9af27f0f94c">FP4_BLS381_qmul</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *y,<a class="code" href="structFP__BLS381.html">FP_BLS381</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__BLS381_8h.html#a8def6afdc8a243542cb59343663e6628">FP4_BLS381_imul</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a333363f97cf7558d6f0ec3524458c27b">FP4_BLS381_sqr</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a99d5aeda5071fc021fd04929ffc2a46c">FP4_BLS381_mul</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *y,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a8fc2b9f1287b263ef7a67ec45b9492eb">FP4_BLS381_inv</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a5a0bfd56e0ebe0550f6246c8d595d29b">FP4_BLS381_output</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a9d2481ac152e700d040a534c81ce131d">FP4_BLS381_rawoutput</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a20d505b5f92360e5237b129c9eb7a9cb">FP4_BLS381_times_i</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a4a821f4a2406ef5919090263d36ca176">FP4_BLS381_norm</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a2dcdfcc87f2f05e7ddb3430a49608da1">FP4_BLS381_reduce</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#af06473736ed6b470cee82b8ae152846b">FP4_BLS381_pow</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *y,<a class="code" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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__BLS381_8h.html#ac0f5e5bc27525249478b9fc45a049f90">FP4_BLS381_frob</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381_8h.html#a231fabac382ff8bb90773fa86a1d5ace">FP4_BLS381_xtr_A</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *r,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *w,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *y,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a05b0df476b4be3442432332a5865bbd8">FP4_BLS381_xtr_D</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *r,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a6a586dd443c97009bd1a98a30cadc4ae">FP4_BLS381_xtr_pow</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *r,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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__BLS381_8h.html#abeddca18c79d425fd681a93b63a20186">FP4_BLS381_xtr_pow2</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *r,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *c,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *d,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *e,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *f,<a class="code" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> a,<a class="code" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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__BLS381_8h.html#ae62020709f74c67526d4f06856f17ced">FP4_BLS381_cmove</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a53b81fdb390a6058ddd042cc0c448d9c">FP4_BLS381_sqrt</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *r,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a5c264ea7b67e3ea964563eada37fc3ae">FP4_BLS381_div_i</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a42f96c4b1ae9a9f6a4e0268e232e8048">FP4_BLS381_div_2i</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h.html#a190b8a55edc215fc6dfb211f8d88face">FP4_BLS381_div2</a>(<a class="code" href="structFP4__BLS381.html">FP4_BLS381</a> *x,<a class="code" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381_8h_html_aae7d3c9887889f5f575fe9af27f0f94c"><div class="ttname"><a href="fp4__BLS381_8h.html#aae7d3c9887889f5f575fe9af27f0f94c">FP4_BLS381_qmul</a></div><div class="ttdeci">void FP4_BLS381_qmul(FP4_BLS381 *x, FP4_BLS381 *y, FP_BLS381 *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:181</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a42f96c4b1ae9a9f6a4e0268e232e8048"><div class="ttname"><a href="fp4__BLS381_8h.html#a42f96c4b1ae9a9f6a4e0268e232e8048">FP4_BLS381_div_2i</a></div><div class="ttdeci">void FP4_BLS381_div_2i(FP4_BLS381 *x)</div><div class="ttdoc">Divide an FP4 by QNR/2. </div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a2dcdfcc87f2f05e7ddb3430a49608da1"><div class="ttname"><a href="fp4__BLS381_8h.html#a2dcdfcc87f2f05e7ddb3430a49608da1">FP4_BLS381_reduce</a></div><div class="ttdeci">void FP4_BLS381_reduce(FP4_BLS381 *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP4 mod Modulus. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:158</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_aa51157714a2a0e4a5c50e64cd504fe46"><div class="ttname"><a href="fp4__BLS381_8h.html#aa51157714a2a0e4a5c50e64cd504fe46">FP4_BLS381_iszilch</a></div><div class="ttdeci">int FP4_BLS381_iszilch(FP4_BLS381 *x)</div><div class="ttdoc">Tests for FP4 equal to zero. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:29</div></div>
<div class="ttc" id="structFP4__BLS381_html"><div class="ttname"><a href="structFP4__BLS381.html">FP4_BLS381</a></div><div class="ttdoc">FP4 Structure - towered over two FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.h:37</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a8e5b68257df8c729f8c1d6b96ef23592"><div class="ttname"><a href="fp4__BLS381_8h.html#a8e5b68257df8c729f8c1d6b96ef23592">FP4_BLS381_nconj</a></div><div class="ttdeci">void FP4_BLS381_nconj(FP4_BLS381 *x, FP4_BLS381 *y)</div><div class="ttdoc">Negative conjugation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:133</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a2946cee8c062bd7380d7d8c7747bb9be"><div class="ttname"><a href="fp4__BLS381_8h.html#a2946cee8c062bd7380d7d8c7747bb9be">FP4_BLS381_neg</a></div><div class="ttdeci">void FP4_BLS381_neg(FP4_BLS381 *x, FP4_BLS381 *y)</div><div class="ttdoc">Negation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:109</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a5a0bfd56e0ebe0550f6246c8d595d29b"><div class="ttname"><a href="fp4__BLS381_8h.html#a5a0bfd56e0ebe0550f6246c8d595d29b">FP4_BLS381_output</a></div><div class="ttdeci">void FP4_BLS381_output(FP4_BLS381 *x)</div><div class="ttdoc">Formats and outputs an FP4 to the console. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:258</div></div>
<div class="ttc" id="structFP2__BLS381_html"><div class="ttname"><a href="structFP2__BLS381.html">FP2_BLS381</a></div><div class="ttdoc">FP2 Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp2_BLS381.h:36</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a20d505b5f92360e5237b129c9eb7a9cb"><div class="ttname"><a href="fp4__BLS381_8h.html#a20d505b5f92360e5237b129c9eb7a9cb">FP4_BLS381_times_i</a></div><div class="ttdeci">void FP4_BLS381_times_i(FP4_BLS381 *x)</div><div class="ttdoc">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:296</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a9d2481ac152e700d040a534c81ce131d"><div class="ttname"><a href="fp4__BLS381_8h.html#a9d2481ac152e700d040a534c81ce131d">FP4_BLS381_rawoutput</a></div><div class="ttdeci">void FP4_BLS381_rawoutput(FP4_BLS381 *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_BLS381.c:268</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a231fabac382ff8bb90773fa86a1d5ace"><div class="ttname"><a href="fp4__BLS381_8h.html#a231fabac382ff8bb90773fa86a1d5ace">FP4_BLS381_xtr_A</a></div><div class="ttdeci">void FP4_BLS381_xtr_A(FP4_BLS381 *r, FP4_BLS381 *w, FP4_BLS381 *x, FP4_BLS381 *y, FP4_BLS381 *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_BLS381.c:353</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a53b81fdb390a6058ddd042cc0c448d9c"><div class="ttname"><a href="fp4__BLS381_8h.html#a53b81fdb390a6058ddd042cc0c448d9c">FP4_BLS381_sqrt</a></div><div class="ttdeci">int FP4_BLS381_sqrt(FP4_BLS381 *r, FP4_BLS381 *x)</div><div class="ttdoc">Calculate square root of an FP4. </div></div>
<div class="ttc" id="big__384__58_8h_html_ab8c68dbf8612f8f005c402a289c5da31"><div class="ttname"><a href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a></div><div class="ttdeci">chunk BIG_384_58[NLEN_384_58]</div><div class="ttdef"><b>Definition:</b> big_384_58.h:58</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a05b0df476b4be3442432332a5865bbd8"><div class="ttname"><a href="fp4__BLS381_8h.html#a05b0df476b4be3442432332a5865bbd8">FP4_BLS381_xtr_D</a></div><div class="ttdeci">void FP4_BLS381_xtr_D(FP4_BLS381 *r, FP4_BLS381 *x)</div><div class="ttdoc">Calculates the XTR doubling function r=x^2-2*conj(x) </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:373</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_aa0923c97b9168620ba93e4f242a889a5"><div class="ttname"><a href="fp4__BLS381_8h.html#aa0923c97b9168620ba93e4f242a889a5">FP4_BLS381_sub</a></div><div class="ttdeci">void FP4_BLS381_sub(FP4_BLS381 *x, FP4_BLS381 *y, FP4_BLS381 *z)</div><div class="ttdoc">subtraction of two FP4s </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:150</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_aa662afe5c788246962d2c96755dd3c1d"><div class="ttname"><a href="fp4__BLS381_8h.html#aa662afe5c788246962d2c96755dd3c1d">FP4_BLS381_isreal</a></div><div class="ttdeci">int FP4_BLS381_isreal(FP4_BLS381 *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_BLS381.c:44</div></div>
<div class="ttc" id="structFP4__BLS381_html_a899f33e45062a3d340930fa31b1965d4"><div class="ttname"><a href="structFP4__BLS381.html#a899f33e45062a3d340930fa31b1965d4">FP4_BLS381::a</a></div><div class="ttdeci">FP2_BLS381 a</div><div class="ttdef"><b>Definition:</b> fp4_BLS381.h:39</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_af06473736ed6b470cee82b8ae152846b"><div class="ttname"><a href="fp4__BLS381_8h.html#af06473736ed6b470cee82b8ae152846b">FP4_BLS381_pow</a></div><div class="ttdeci">void FP4_BLS381_pow(FP4_BLS381 *x, FP4_BLS381 *y, BIG_384_58 b)</div><div class="ttdoc">Raises an FP4 to the power of a BIG. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:326</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a4b786b60ed5079d3adc5e0b5133d6517"><div class="ttname"><a href="fp4__BLS381_8h.html#a4b786b60ed5079d3adc5e0b5133d6517">FP4_BLS381_zero</a></div><div class="ttdeci">void FP4_BLS381_zero(FP4_BLS381 *x)</div><div class="ttdoc">Set FP4 to zero. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:93</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a333363f97cf7558d6f0ec3524458c27b"><div class="ttname"><a href="fp4__BLS381_8h.html#a333363f97cf7558d6f0ec3524458c27b">FP4_BLS381_sqr</a></div><div class="ttdeci">void FP4_BLS381_sqr(FP4_BLS381 *x, FP4_BLS381 *y)</div><div class="ttdoc">Squaring an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:197</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a5c264ea7b67e3ea964563eada37fc3ae"><div class="ttname"><a href="fp4__BLS381_8h.html#a5c264ea7b67e3ea964563eada37fc3ae">FP4_BLS381_div_i</a></div><div class="ttdeci">void FP4_BLS381_div_i(FP4_BLS381 *x)</div><div class="ttdoc">Divide FP4 number by QNR. </div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a70c4281ed16fcad78ee7e0b3fb2f6bf9"><div class="ttname"><a href="fp4__BLS381_8h.html#a70c4281ed16fcad78ee7e0b3fb2f6bf9">FP4_BLS381_copy</a></div><div class="ttdeci">void FP4_BLS381_copy(FP4_BLS381 *x, FP4_BLS381 *y)</div><div class="ttdoc">Copy FP4 to another FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:84</div></div>
<div class="ttc" id="structFP4__BLS381_html_a8f2c3b4c985c0901afc03685d09819c3"><div class="ttname"><a href="structFP4__BLS381.html#a8f2c3b4c985c0901afc03685d09819c3">FP4_BLS381::b</a></div><div class="ttdeci">FP2_BLS381 b</div><div class="ttdef"><b>Definition:</b> fp4_BLS381.h:40</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_ac0f5e5bc27525249478b9fc45a049f90"><div class="ttname"><a href="fp4__BLS381_8h.html#ac0f5e5bc27525249478b9fc45a049f90">FP4_BLS381_frob</a></div><div class="ttdeci">void FP4_BLS381_frob(FP4_BLS381 *x, FP2_BLS381 *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_BLS381.c:317</div></div>
<div class="ttc" id="structFP__BLS381_html"><div class="ttname"><a href="structFP__BLS381.html">FP_BLS381</a></div><div class="ttdoc">FP Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp_BLS381.h:38</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_af9cf51971cc8f573c7344558d1339789"><div class="ttname"><a href="fp4__BLS381_8h.html#af9cf51971cc8f573c7344558d1339789">FP4_BLS381_isunity</a></div><div class="ttdeci">int FP4_BLS381_isunity(FP4_BLS381 *x)</div><div class="ttdoc">Tests for FP4 equal to unity. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:37</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_ae7dd9851711144d355178b3d48fc67ad"><div class="ttname"><a href="fp4__BLS381_8h.html#ae7dd9851711144d355178b3d48fc67ad">FP4_BLS381_pmul</a></div><div class="ttdeci">void FP4_BLS381_pmul(FP4_BLS381 *x, FP4_BLS381 *y, FP2_BLS381 *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:174</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_af5d76817be2ee127e046e643f39b6a75"><div class="ttname"><a href="fp4__BLS381_8h.html#af5d76817be2ee127e046e643f39b6a75">FP4_BLS381_from_FP2s</a></div><div class="ttdeci">void FP4_BLS381_from_FP2s(FP4_BLS381 *x, FP2_BLS381 *a, FP2_BLS381 *b)</div><div class="ttdoc">Initialise FP4 from two FP2s. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:60</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a707b4c9c640bd8a4e88dfc4c808c9a2c"><div class="ttname"><a href="fp4__BLS381_8h.html#a707b4c9c640bd8a4e88dfc4c808c9a2c">FP4_BLS381_add</a></div><div class="ttdeci">void FP4_BLS381_add(FP4_BLS381 *x, FP4_BLS381 *y, FP4_BLS381 *z)</div><div class="ttdoc">addition of two FP4s </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:142</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a6a586dd443c97009bd1a98a30cadc4ae"><div class="ttname"><a href="fp4__BLS381_8h.html#a6a586dd443c97009bd1a98a30cadc4ae">FP4_BLS381_xtr_pow</a></div><div class="ttdeci">void FP4_BLS381_xtr_pow(FP4_BLS381 *r, FP4_BLS381 *x, BIG_384_58 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_BLS381.c:387</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_ae62020709f74c67526d4f06856f17ced"><div class="ttname"><a href="fp4__BLS381_8h.html#ae62020709f74c67526d4f06856f17ced">FP4_BLS381_cmove</a></div><div class="ttdeci">void FP4_BLS381_cmove(FP4_BLS381 *x, FP4_BLS381 *y, int s)</div><div class="ttdoc">Conditional copy of FP4 number. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:577</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_ae493deeb5cec8fb062bd7151df22236f"><div class="ttname"><a href="fp4__BLS381_8h.html#ae493deeb5cec8fb062bd7151df22236f">FP4_BLS381_conj</a></div><div class="ttdeci">void FP4_BLS381_conj(FP4_BLS381 *x, FP4_BLS381 *y)</div><div class="ttdoc">Conjugation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:124</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a99d5aeda5071fc021fd04929ffc2a46c"><div class="ttname"><a href="fp4__BLS381_8h.html#a99d5aeda5071fc021fd04929ffc2a46c">FP4_BLS381_mul</a></div><div class="ttdeci">void FP4_BLS381_mul(FP4_BLS381 *x, FP4_BLS381 *y, FP4_BLS381 *z)</div><div class="ttdoc">Multiplication of two FP4s. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:228</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a8def6afdc8a243542cb59343663e6628"><div class="ttname"><a href="fp4__BLS381_8h.html#a8def6afdc8a243542cb59343663e6628">FP4_BLS381_imul</a></div><div class="ttdeci">void FP4_BLS381_imul(FP4_BLS381 *x, FP4_BLS381 *y, int i)</div><div class="ttdoc">Multiplication of an FP4 by a small integer. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:189</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a8fc2b9f1287b263ef7a67ec45b9492eb"><div class="ttname"><a href="fp4__BLS381_8h.html#a8fc2b9f1287b263ef7a67ec45b9492eb">FP4_BLS381_inv</a></div><div class="ttdeci">void FP4_BLS381_inv(FP4_BLS381 *x, FP4_BLS381 *y)</div><div class="ttdoc">Inverting an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:279</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_ab50beba776de6e348b054362008d4728"><div class="ttname"><a href="fp4__BLS381_8h.html#ab50beba776de6e348b054362008d4728">FP4_BLS381_one</a></div><div class="ttdeci">void FP4_BLS381_one(FP4_BLS381 *x)</div><div class="ttdoc">Set FP4 to unity. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:101</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a4a821f4a2406ef5919090263d36ca176"><div class="ttname"><a href="fp4__BLS381_8h.html#a4a821f4a2406ef5919090263d36ca176">FP4_BLS381_norm</a></div><div class="ttdeci">void FP4_BLS381_norm(FP4_BLS381 *x)</div><div class="ttdoc">Normalises the components of an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:166</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_aac0ad2e15f4cc8f49f83e601ab5f671f"><div class="ttname"><a href="fp4__BLS381_8h.html#aac0ad2e15f4cc8f49f83e601ab5f671f">FP4_BLS381_equals</a></div><div class="ttdeci">int FP4_BLS381_equals(FP4_BLS381 *x, FP4_BLS381 *y)</div><div class="ttdoc">Tests for equality of two FP4s. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:51</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a742271ef2bb176f6497e902f07052025"><div class="ttname"><a href="fp4__BLS381_8h.html#a742271ef2bb176f6497e902f07052025">FP4_BLS381_from_FP2H</a></div><div class="ttdeci">void FP4_BLS381_from_FP2H(FP4_BLS381 *x, FP2_BLS381 *a)</div><div class="ttdoc">Initialise FP4 from single FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:76</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_abeddca18c79d425fd681a93b63a20186"><div class="ttname"><a href="fp4__BLS381_8h.html#abeddca18c79d425fd681a93b63a20186">FP4_BLS381_xtr_pow2</a></div><div class="ttdeci">void FP4_BLS381_xtr_pow2(FP4_BLS381 *r, FP4_BLS381 *c, FP4_BLS381 *d, FP4_BLS381 *e, FP4_BLS381 *f, BIG_384_58 a, BIG_384_58 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_BLS381.c:444</div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a190b8a55edc215fc6dfb211f8d88face"><div class="ttname"><a href="fp4__BLS381_8h.html#a190b8a55edc215fc6dfb211f8d88face">FP4_BLS381_div2</a></div><div class="ttdeci">void FP4_BLS381_div2(FP4_BLS381 *x, FP4_BLS381 *y)</div><div class="ttdoc">Divide an FP4 by 2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:586</div></div>
<div class="ttc" id="fp2__BLS381_8h_html"><div class="ttname"><a href="fp2__BLS381_8h.html">fp2_BLS381.h</a></div><div class="ttdoc">FP2 Header File. </div></div>
<div class="ttc" id="fp4__BLS381_8h_html_a4daafa3cb6a391dfcb5f41820afa9c7a"><div class="ttname"><a href="fp4__BLS381_8h.html#a4daafa3cb6a391dfcb5f41820afa9c7a">FP4_BLS381_from_FP2</a></div><div class="ttdeci">void FP4_BLS381_from_FP2(FP4_BLS381 *x, FP2_BLS381 *a)</div><div class="ttdoc">Initialise FP4 from single FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS381.c:68</div></div>
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