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<a href="fp4__BLS24_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_BLS24_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP4_BLS24_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__BLS24_8h.html">fp2_BLS24.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_BLS24.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__BLS24.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__BLS24.html#a53cbdb8a88cd252aa2f62cbfcf7eaa8c"> 39</a></span>&#160; <a class="code" href="structFP2__BLS24.html">FP2_BLS24</a> <a class="code" href="structFP4__BLS24.html#a53cbdb8a88cd252aa2f62cbfcf7eaa8c">a</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structFP4__BLS24.html#a20e23cd7abac73cfaf22f2be5156dd10"> 40</a></span>&#160; <a class="code" href="structFP2__BLS24.html">FP2_BLS24</a> <a class="code" href="structFP4__BLS24.html#a20e23cd7abac73cfaf22f2be5156dd10">b</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;} <a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a12912abdd589b9e6342f5a279ada862a">FP4_BLS24_iszilch</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a5977613624843bd02a5580e265e2b6e8">FP4_BLS24_isunity</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a6d504373f6d14c8052cab95060f9c6c1">FP4_BLS24_equals</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#af8c7823949978a925ef66ec409dfe022">FP4_BLS24_isreal</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a67f4af603fbd0d35423490ad353370b0">FP4_BLS24_from_FP2s</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP2__BLS24.html">FP2_BLS24</a> *a,<a class="code" href="structFP2__BLS24.html">FP2_BLS24</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__BLS24_8h.html#ab2a2958935aba1b7557b8739bc99ce6e">FP4_BLS24_from_FP2</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP2__BLS24.html">FP2_BLS24</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__BLS24_8h.html#aa9d366e3cb26180c3e8a13a5b2b83217">FP4_BLS24_from_FP2H</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP2__BLS24.html">FP2_BLS24</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__BLS24_8h.html#ae48a05f1f020de218ccc23b3923d42f5">FP4_BLS24_copy</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#aed91df9abd5ca7ecd1733abaf7794e5d">FP4_BLS24_zero</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#abd676ba46b4cf11e1de84dd90130468c">FP4_BLS24_one</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a1ae64287abbacdc5cb1545c2168b5e9b">FP4_BLS24_neg</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a7e061d25e2d61828ebade0e07dceb459">FP4_BLS24_conj</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a21e113d9f008d76ba316c21f8941a2de">FP4_BLS24_nconj</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#acdfe69511baca15113ed759bcddccdb1">FP4_BLS24_add</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *y,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#af2c12f6f87a5fcc0c7b3b3f0e7db8312">FP4_BLS24_sub</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *y,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a7e3c6ae7813793284acc65ff42df93be">FP4_BLS24_pmul</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *y,<a class="code" href="structFP2__BLS24.html">FP2_BLS24</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__BLS24_8h.html#a15a066a8329ea6f5feb7c471303dd054">FP4_BLS24_qmul</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *y,<a class="code" href="structFP__BLS24.html">FP_BLS24</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__BLS24_8h.html#abbefd4a3e0b4c3629db577762186b314">FP4_BLS24_imul</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#acae99ec2a563570870d14cbb07df7602">FP4_BLS24_sqr</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#abc347edcbcf0cf41c676906ee5cef282">FP4_BLS24_mul</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *y,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a5ce587706631da3997b23ab2af25e20f">FP4_BLS24_inv</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a6119c4bd72cc838a13894878c7330e70">FP4_BLS24_output</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a7e7959ea28922c0d92486c63c2d6f8e1">FP4_BLS24_rawoutput</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a86af9f623313e08d2a593b24d3d64c58">FP4_BLS24_times_i</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#ad12ec58c7861e94bfcc22eaf8530dfd6">FP4_BLS24_norm</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a3aa991a5bf012326d19e6ac031d901c7">FP4_BLS24_reduce</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a9c5fbdc552a61490f7eb6d28f31dbadb">FP4_BLS24_pow</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *y,<a class="code" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_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__BLS24_8h.html#a8f4395c5a6e505d407714a048d4163b9">FP4_BLS24_frob</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP2__BLS24.html">FP2_BLS24</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__BLS24_8h.html#a94b3a23253c038f20bdc312145ed5380">FP4_BLS24_xtr_A</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *r,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *w,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *y,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#aafbe6ac150fbdf3fed35c52ad7291d64">FP4_BLS24_xtr_D</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *r,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a8d3df7018ef9e32ae6294ac4a0841b73">FP4_BLS24_xtr_pow</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *r,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_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__BLS24_8h.html#afcc6c27e49775538ce9c141d61f3f4ad">FP4_BLS24_xtr_pow2</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *r,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *c,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *d,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *e,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *f,<a class="code" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</a> a,<a class="code" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_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__BLS24_8h.html#ac069ebcacb6f97055c39272cc645b287">FP4_BLS24_cmove</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a288ad04e1ac4251390be909f91135ea0">FP4_BLS24_sqrt</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *r,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a7064e736f52002e755612d0a10878e36">FP4_BLS24_div_i</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#ac75f2b5f3125e44e71c87e3a8f523906">FP4_BLS24_div_2i</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h.html#a65ea2b48cdfe5d414c19d4a529dd5be0">FP4_BLS24_div2</a>(<a class="code" href="structFP4__BLS24.html">FP4_BLS24</a> *x,<a class="code" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24_8h_html_aafbe6ac150fbdf3fed35c52ad7291d64"><div class="ttname"><a href="fp4__BLS24_8h.html#aafbe6ac150fbdf3fed35c52ad7291d64">FP4_BLS24_xtr_D</a></div><div class="ttdeci">void FP4_BLS24_xtr_D(FP4_BLS24 *r, FP4_BLS24 *x)</div><div class="ttdoc">Calculates the XTR doubling function r=x^2-2*conj(x) </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:373</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a7e3c6ae7813793284acc65ff42df93be"><div class="ttname"><a href="fp4__BLS24_8h.html#a7e3c6ae7813793284acc65ff42df93be">FP4_BLS24_pmul</a></div><div class="ttdeci">void FP4_BLS24_pmul(FP4_BLS24 *x, FP4_BLS24 *y, FP2_BLS24 *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:174</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_abd676ba46b4cf11e1de84dd90130468c"><div class="ttname"><a href="fp4__BLS24_8h.html#abd676ba46b4cf11e1de84dd90130468c">FP4_BLS24_one</a></div><div class="ttdeci">void FP4_BLS24_one(FP4_BLS24 *x)</div><div class="ttdoc">Set FP4 to unity. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:101</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a5977613624843bd02a5580e265e2b6e8"><div class="ttname"><a href="fp4__BLS24_8h.html#a5977613624843bd02a5580e265e2b6e8">FP4_BLS24_isunity</a></div><div class="ttdeci">int FP4_BLS24_isunity(FP4_BLS24 *x)</div><div class="ttdoc">Tests for FP4 equal to unity. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:37</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a7e061d25e2d61828ebade0e07dceb459"><div class="ttname"><a href="fp4__BLS24_8h.html#a7e061d25e2d61828ebade0e07dceb459">FP4_BLS24_conj</a></div><div class="ttdeci">void FP4_BLS24_conj(FP4_BLS24 *x, FP4_BLS24 *y)</div><div class="ttdoc">Conjugation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:124</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_ab2a2958935aba1b7557b8739bc99ce6e"><div class="ttname"><a href="fp4__BLS24_8h.html#ab2a2958935aba1b7557b8739bc99ce6e">FP4_BLS24_from_FP2</a></div><div class="ttdeci">void FP4_BLS24_from_FP2(FP4_BLS24 *x, FP2_BLS24 *a)</div><div class="ttdoc">Initialise FP4 from single FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:68</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a8d3df7018ef9e32ae6294ac4a0841b73"><div class="ttname"><a href="fp4__BLS24_8h.html#a8d3df7018ef9e32ae6294ac4a0841b73">FP4_BLS24_xtr_pow</a></div><div class="ttdeci">void FP4_BLS24_xtr_pow(FP4_BLS24 *r, FP4_BLS24 *x, BIG_480_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_BLS24.c:387</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a67f4af603fbd0d35423490ad353370b0"><div class="ttname"><a href="fp4__BLS24_8h.html#a67f4af603fbd0d35423490ad353370b0">FP4_BLS24_from_FP2s</a></div><div class="ttdeci">void FP4_BLS24_from_FP2s(FP4_BLS24 *x, FP2_BLS24 *a, FP2_BLS24 *b)</div><div class="ttdoc">Initialise FP4 from two FP2s. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:60</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a5ce587706631da3997b23ab2af25e20f"><div class="ttname"><a href="fp4__BLS24_8h.html#a5ce587706631da3997b23ab2af25e20f">FP4_BLS24_inv</a></div><div class="ttdeci">void FP4_BLS24_inv(FP4_BLS24 *x, FP4_BLS24 *y)</div><div class="ttdoc">Inverting an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:279</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a8f4395c5a6e505d407714a048d4163b9"><div class="ttname"><a href="fp4__BLS24_8h.html#a8f4395c5a6e505d407714a048d4163b9">FP4_BLS24_frob</a></div><div class="ttdeci">void FP4_BLS24_frob(FP4_BLS24 *x, FP2_BLS24 *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_BLS24.c:317</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_ad12ec58c7861e94bfcc22eaf8530dfd6"><div class="ttname"><a href="fp4__BLS24_8h.html#ad12ec58c7861e94bfcc22eaf8530dfd6">FP4_BLS24_norm</a></div><div class="ttdeci">void FP4_BLS24_norm(FP4_BLS24 *x)</div><div class="ttdoc">Normalises the components of an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:166</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a86af9f623313e08d2a593b24d3d64c58"><div class="ttname"><a href="fp4__BLS24_8h.html#a86af9f623313e08d2a593b24d3d64c58">FP4_BLS24_times_i</a></div><div class="ttdeci">void FP4_BLS24_times_i(FP4_BLS24 *x)</div><div class="ttdoc">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:296</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_aa9d366e3cb26180c3e8a13a5b2b83217"><div class="ttname"><a href="fp4__BLS24_8h.html#aa9d366e3cb26180c3e8a13a5b2b83217">FP4_BLS24_from_FP2H</a></div><div class="ttdeci">void FP4_BLS24_from_FP2H(FP4_BLS24 *x, FP2_BLS24 *a)</div><div class="ttdoc">Initialise FP4 from single FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:76</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_acae99ec2a563570870d14cbb07df7602"><div class="ttname"><a href="fp4__BLS24_8h.html#acae99ec2a563570870d14cbb07df7602">FP4_BLS24_sqr</a></div><div class="ttdeci">void FP4_BLS24_sqr(FP4_BLS24 *x, FP4_BLS24 *y)</div><div class="ttdoc">Squaring an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:197</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a21e113d9f008d76ba316c21f8941a2de"><div class="ttname"><a href="fp4__BLS24_8h.html#a21e113d9f008d76ba316c21f8941a2de">FP4_BLS24_nconj</a></div><div class="ttdeci">void FP4_BLS24_nconj(FP4_BLS24 *x, FP4_BLS24 *y)</div><div class="ttdoc">Negative conjugation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:133</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a3aa991a5bf012326d19e6ac031d901c7"><div class="ttname"><a href="fp4__BLS24_8h.html#a3aa991a5bf012326d19e6ac031d901c7">FP4_BLS24_reduce</a></div><div class="ttdeci">void FP4_BLS24_reduce(FP4_BLS24 *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP4 mod Modulus. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:158</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_abbefd4a3e0b4c3629db577762186b314"><div class="ttname"><a href="fp4__BLS24_8h.html#abbefd4a3e0b4c3629db577762186b314">FP4_BLS24_imul</a></div><div class="ttdeci">void FP4_BLS24_imul(FP4_BLS24 *x, FP4_BLS24 *y, int i)</div><div class="ttdoc">Multiplication of an FP4 by a small integer. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:189</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a65ea2b48cdfe5d414c19d4a529dd5be0"><div class="ttname"><a href="fp4__BLS24_8h.html#a65ea2b48cdfe5d414c19d4a529dd5be0">FP4_BLS24_div2</a></div><div class="ttdeci">void FP4_BLS24_div2(FP4_BLS24 *x, FP4_BLS24 *y)</div><div class="ttdoc">Divide an FP4 by 2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:586</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_abc347edcbcf0cf41c676906ee5cef282"><div class="ttname"><a href="fp4__BLS24_8h.html#abc347edcbcf0cf41c676906ee5cef282">FP4_BLS24_mul</a></div><div class="ttdeci">void FP4_BLS24_mul(FP4_BLS24 *x, FP4_BLS24 *y, FP4_BLS24 *z)</div><div class="ttdoc">Multiplication of two FP4s. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:228</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a288ad04e1ac4251390be909f91135ea0"><div class="ttname"><a href="fp4__BLS24_8h.html#a288ad04e1ac4251390be909f91135ea0">FP4_BLS24_sqrt</a></div><div class="ttdeci">int FP4_BLS24_sqrt(FP4_BLS24 *r, FP4_BLS24 *x)</div><div class="ttdoc">Calculate square root of an FP4. </div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a6119c4bd72cc838a13894878c7330e70"><div class="ttname"><a href="fp4__BLS24_8h.html#a6119c4bd72cc838a13894878c7330e70">FP4_BLS24_output</a></div><div class="ttdeci">void FP4_BLS24_output(FP4_BLS24 *x)</div><div class="ttdoc">Formats and outputs an FP4 to the console. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:258</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_aed91df9abd5ca7ecd1733abaf7794e5d"><div class="ttname"><a href="fp4__BLS24_8h.html#aed91df9abd5ca7ecd1733abaf7794e5d">FP4_BLS24_zero</a></div><div class="ttdeci">void FP4_BLS24_zero(FP4_BLS24 *x)</div><div class="ttdoc">Set FP4 to zero. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:93</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_acdfe69511baca15113ed759bcddccdb1"><div class="ttname"><a href="fp4__BLS24_8h.html#acdfe69511baca15113ed759bcddccdb1">FP4_BLS24_add</a></div><div class="ttdeci">void FP4_BLS24_add(FP4_BLS24 *x, FP4_BLS24 *y, FP4_BLS24 *z)</div><div class="ttdoc">addition of two FP4s </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:142</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a7064e736f52002e755612d0a10878e36"><div class="ttname"><a href="fp4__BLS24_8h.html#a7064e736f52002e755612d0a10878e36">FP4_BLS24_div_i</a></div><div class="ttdeci">void FP4_BLS24_div_i(FP4_BLS24 *x)</div><div class="ttdoc">Divide FP4 number by QNR. </div></div>
<div class="ttc" id="structFP2__BLS24_html"><div class="ttname"><a href="structFP2__BLS24.html">FP2_BLS24</a></div><div class="ttdoc">FP2 Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp2_BLS24.h:36</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a7e7959ea28922c0d92486c63c2d6f8e1"><div class="ttname"><a href="fp4__BLS24_8h.html#a7e7959ea28922c0d92486c63c2d6f8e1">FP4_BLS24_rawoutput</a></div><div class="ttdeci">void FP4_BLS24_rawoutput(FP4_BLS24 *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_BLS24.c:268</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_afcc6c27e49775538ce9c141d61f3f4ad"><div class="ttname"><a href="fp4__BLS24_8h.html#afcc6c27e49775538ce9c141d61f3f4ad">FP4_BLS24_xtr_pow2</a></div><div class="ttdeci">void FP4_BLS24_xtr_pow2(FP4_BLS24 *r, FP4_BLS24 *c, FP4_BLS24 *d, FP4_BLS24 *e, FP4_BLS24 *f, BIG_480_56 a, BIG_480_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_BLS24.c:444</div></div>
<div class="ttc" id="structFP4__BLS24_html_a20e23cd7abac73cfaf22f2be5156dd10"><div class="ttname"><a href="structFP4__BLS24.html#a20e23cd7abac73cfaf22f2be5156dd10">FP4_BLS24::b</a></div><div class="ttdeci">FP2_BLS24 b</div><div class="ttdef"><b>Definition:</b> fp4_BLS24.h:40</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_ac069ebcacb6f97055c39272cc645b287"><div class="ttname"><a href="fp4__BLS24_8h.html#ac069ebcacb6f97055c39272cc645b287">FP4_BLS24_cmove</a></div><div class="ttdeci">void FP4_BLS24_cmove(FP4_BLS24 *x, FP4_BLS24 *y, int s)</div><div class="ttdoc">Conditional copy of FP4 number. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:577</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_ae48a05f1f020de218ccc23b3923d42f5"><div class="ttname"><a href="fp4__BLS24_8h.html#ae48a05f1f020de218ccc23b3923d42f5">FP4_BLS24_copy</a></div><div class="ttdeci">void FP4_BLS24_copy(FP4_BLS24 *x, FP4_BLS24 *y)</div><div class="ttdoc">Copy FP4 to another FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:84</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a1ae64287abbacdc5cb1545c2168b5e9b"><div class="ttname"><a href="fp4__BLS24_8h.html#a1ae64287abbacdc5cb1545c2168b5e9b">FP4_BLS24_neg</a></div><div class="ttdeci">void FP4_BLS24_neg(FP4_BLS24 *x, FP4_BLS24 *y)</div><div class="ttdoc">Negation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:109</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a15a066a8329ea6f5feb7c471303dd054"><div class="ttname"><a href="fp4__BLS24_8h.html#a15a066a8329ea6f5feb7c471303dd054">FP4_BLS24_qmul</a></div><div class="ttdeci">void FP4_BLS24_qmul(FP4_BLS24 *x, FP4_BLS24 *y, FP_BLS24 *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:181</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_af2c12f6f87a5fcc0c7b3b3f0e7db8312"><div class="ttname"><a href="fp4__BLS24_8h.html#af2c12f6f87a5fcc0c7b3b3f0e7db8312">FP4_BLS24_sub</a></div><div class="ttdeci">void FP4_BLS24_sub(FP4_BLS24 *x, FP4_BLS24 *y, FP4_BLS24 *z)</div><div class="ttdoc">subtraction of two FP4s </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:150</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_ac75f2b5f3125e44e71c87e3a8f523906"><div class="ttname"><a href="fp4__BLS24_8h.html#ac75f2b5f3125e44e71c87e3a8f523906">FP4_BLS24_div_2i</a></div><div class="ttdeci">void FP4_BLS24_div_2i(FP4_BLS24 *x)</div><div class="ttdoc">Divide an FP4 by QNR/2. </div></div>
<div class="ttc" id="structFP4__BLS24_html"><div class="ttname"><a href="structFP4__BLS24.html">FP4_BLS24</a></div><div class="ttdoc">FP4 Structure - towered over two FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.h:37</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a12912abdd589b9e6342f5a279ada862a"><div class="ttname"><a href="fp4__BLS24_8h.html#a12912abdd589b9e6342f5a279ada862a">FP4_BLS24_iszilch</a></div><div class="ttdeci">int FP4_BLS24_iszilch(FP4_BLS24 *x)</div><div class="ttdoc">Tests for FP4 equal to zero. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:29</div></div>
<div class="ttc" id="structFP4__BLS24_html_a53cbdb8a88cd252aa2f62cbfcf7eaa8c"><div class="ttname"><a href="structFP4__BLS24.html#a53cbdb8a88cd252aa2f62cbfcf7eaa8c">FP4_BLS24::a</a></div><div class="ttdeci">FP2_BLS24 a</div><div class="ttdef"><b>Definition:</b> fp4_BLS24.h:39</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a9c5fbdc552a61490f7eb6d28f31dbadb"><div class="ttname"><a href="fp4__BLS24_8h.html#a9c5fbdc552a61490f7eb6d28f31dbadb">FP4_BLS24_pow</a></div><div class="ttdeci">void FP4_BLS24_pow(FP4_BLS24 *x, FP4_BLS24 *y, BIG_480_56 b)</div><div class="ttdoc">Raises an FP4 to the power of a BIG. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:326</div></div>
<div class="ttc" id="fp2__BLS24_8h_html"><div class="ttname"><a href="fp2__BLS24_8h.html">fp2_BLS24.h</a></div><div class="ttdoc">FP2 Header File. </div></div>
<div class="ttc" id="structFP__BLS24_html"><div class="ttname"><a href="structFP__BLS24.html">FP_BLS24</a></div><div class="ttdoc">FP Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp_BLS24.h:38</div></div>
<div class="ttc" id="big__480__56_8h_html_a5bf780014d489361cffeb4dd5a89fcba"><div class="ttname"><a href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</a></div><div class="ttdeci">chunk BIG_480_56[NLEN_480_56]</div><div class="ttdef"><b>Definition:</b> big_480_56.h:58</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a6d504373f6d14c8052cab95060f9c6c1"><div class="ttname"><a href="fp4__BLS24_8h.html#a6d504373f6d14c8052cab95060f9c6c1">FP4_BLS24_equals</a></div><div class="ttdeci">int FP4_BLS24_equals(FP4_BLS24 *x, FP4_BLS24 *y)</div><div class="ttdoc">Tests for equality of two FP4s. </div><div class="ttdef"><b>Definition:</b> fp4_BLS24.c:51</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_a94b3a23253c038f20bdc312145ed5380"><div class="ttname"><a href="fp4__BLS24_8h.html#a94b3a23253c038f20bdc312145ed5380">FP4_BLS24_xtr_A</a></div><div class="ttdeci">void FP4_BLS24_xtr_A(FP4_BLS24 *r, FP4_BLS24 *w, FP4_BLS24 *x, FP4_BLS24 *y, FP4_BLS24 *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_BLS24.c:353</div></div>
<div class="ttc" id="fp4__BLS24_8h_html_af8c7823949978a925ef66ec409dfe022"><div class="ttname"><a href="fp4__BLS24_8h.html#af8c7823949978a925ef66ec409dfe022">FP4_BLS24_isreal</a></div><div class="ttdeci">int FP4_BLS24_isreal(FP4_BLS24 *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_BLS24.c:44</div></div>
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