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<a href="fp4__BLS48_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_BLS48_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP4_BLS48_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__BLS48_8h.html">fp2_BLS48.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_BLS48.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__BLS48.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__BLS48.html#a724e2e8a3e6980420f72d8b08221c04c"> 39</a></span>&#160; <a class="code" href="structFP2__BLS48.html">FP2_BLS48</a> <a class="code" href="structFP4__BLS48.html#a724e2e8a3e6980420f72d8b08221c04c">a</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structFP4__BLS48.html#af5478a59b96586d558e008c26352a40f"> 40</a></span>&#160; <a class="code" href="structFP2__BLS48.html">FP2_BLS48</a> <a class="code" href="structFP4__BLS48.html#af5478a59b96586d558e008c26352a40f">b</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;} <a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a611249afb40710ab421ef9613a1a5514">FP4_BLS48_iszilch</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a47f6c83a0cd2fa8f823582aa8679697a">FP4_BLS48_isunity</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a70dd2a09a51461b47ab7dc4e194c49b6">FP4_BLS48_equals</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#aee712744f5a6490f398a2169ab079305">FP4_BLS48_isreal</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a6257c181dcb5169cf3b7ef0a71ed6cc6">FP4_BLS48_from_FP2s</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP2__BLS48.html">FP2_BLS48</a> *a,<a class="code" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48_8h.html#af5adb021441cfcfa36edfec9cc847563">FP4_BLS48_from_FP2</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48_8h.html#ac051c6ce5cf2ec1ce2fb191346780ec4">FP4_BLS48_from_FP2H</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48_8h.html#af56ef475c8920506a91f68ca35ffdce7">FP4_BLS48_copy</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a5f843b9d548c32a78f3b7bc3fcf3317c">FP4_BLS48_zero</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#af8b1fe406e11592dc5a43104830688b2">FP4_BLS48_one</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#af3af02656fbe4dc092e970963375b317">FP4_BLS48_neg</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a746de0c0bc1ec861cfed6722e0d30e8b">FP4_BLS48_conj</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a5cdf7be4a85d7d2ebe47e15c7e0f13c4">FP4_BLS48_nconj</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#ae620370a55b3cc57c32a5b3a792cc83f">FP4_BLS48_add</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *y,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a413bbba3f3c447b099af89a593dd0e9c">FP4_BLS48_sub</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *y,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#ad312305310dec6c7711a618569ad0e55">FP4_BLS48_pmul</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *y,<a class="code" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48_8h.html#afd999e44fb13758199e613d1bae1c50b">FP4_BLS48_qmul</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *y,<a class="code" href="structFP__BLS48.html">FP_BLS48</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__BLS48_8h.html#ae581788163f859ba4441bc9dbf8e2871">FP4_BLS48_imul</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a3c770dc5f63dc7b98312d89bc0bf3ced">FP4_BLS48_sqr</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#acb7e1028a445e89d140601da6d435163">FP4_BLS48_mul</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *y,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#ae4db9824ecd22b07903bc0634e53a525">FP4_BLS48_inv</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#aeef78c9ffe63c523ae8aa7999864dfe1">FP4_BLS48_output</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#ab0b448803ddb2cea361e9ac0040809ac">FP4_BLS48_rawoutput</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#ace1922795087728455377dd367de0edf">FP4_BLS48_times_i</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a1f93ad93d5ba74d6d94faaa1f20a3804">FP4_BLS48_norm</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#af0be99ef8adc0fa40b416ad19a637c24">FP4_BLS48_reduce</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a7e5d6e85ee5a2b220bebaaeb337b514f">FP4_BLS48_pow</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *y,<a class="code" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_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__BLS48_8h.html#a0e216c665d9fa1b58b97b6c632dea3fe">FP4_BLS48_frob</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48_8h.html#a75ec2f8c29a4ee5d89e80512f4eb1fd7">FP4_BLS48_xtr_A</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *r,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *w,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *y,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#aa1b4d7399cf0772b267955d0e8947c60">FP4_BLS48_xtr_D</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *r,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a6432453fb0c1651a2fe5a1ae800e42f0">FP4_BLS48_xtr_pow</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *r,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_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__BLS48_8h.html#a7761ccbdac6b2c1d8f7ec4ddd9b52888">FP4_BLS48_xtr_pow2</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *r,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *c,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *d,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *e,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *f,<a class="code" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a> a,<a class="code" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_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__BLS48_8h.html#a6d5c64f5dfc4759326fae880204cfaee">FP4_BLS48_cmove</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#aabcbc11c52f6135339c5f718e00b8e5b">FP4_BLS48_sqrt</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *r,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#aba6a37948a143c156c1efe1be1e1095f">FP4_BLS48_div_i</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a11666c444b99c9d75c2a15fe664fdf85">FP4_BLS48_div_2i</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h.html#a2590a102da0a4a35beb128ef12c98274">FP4_BLS48_div2</a>(<a class="code" href="structFP4__BLS48.html">FP4_BLS48</a> *x,<a class="code" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48_8h_html_ac051c6ce5cf2ec1ce2fb191346780ec4"><div class="ttname"><a href="fp4__BLS48_8h.html#ac051c6ce5cf2ec1ce2fb191346780ec4">FP4_BLS48_from_FP2H</a></div><div class="ttdeci">void FP4_BLS48_from_FP2H(FP4_BLS48 *x, FP2_BLS48 *a)</div><div class="ttdoc">Initialise FP4 from single FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:76</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a47f6c83a0cd2fa8f823582aa8679697a"><div class="ttname"><a href="fp4__BLS48_8h.html#a47f6c83a0cd2fa8f823582aa8679697a">FP4_BLS48_isunity</a></div><div class="ttdeci">int FP4_BLS48_isunity(FP4_BLS48 *x)</div><div class="ttdoc">Tests for FP4 equal to unity. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:37</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a75ec2f8c29a4ee5d89e80512f4eb1fd7"><div class="ttname"><a href="fp4__BLS48_8h.html#a75ec2f8c29a4ee5d89e80512f4eb1fd7">FP4_BLS48_xtr_A</a></div><div class="ttdeci">void FP4_BLS48_xtr_A(FP4_BLS48 *r, FP4_BLS48 *w, FP4_BLS48 *x, FP4_BLS48 *y, FP4_BLS48 *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_BLS48.c:353</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_aabcbc11c52f6135339c5f718e00b8e5b"><div class="ttname"><a href="fp4__BLS48_8h.html#aabcbc11c52f6135339c5f718e00b8e5b">FP4_BLS48_sqrt</a></div><div class="ttdeci">int FP4_BLS48_sqrt(FP4_BLS48 *r, FP4_BLS48 *x)</div><div class="ttdoc">Calculate square root of an FP4. </div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a5cdf7be4a85d7d2ebe47e15c7e0f13c4"><div class="ttname"><a href="fp4__BLS48_8h.html#a5cdf7be4a85d7d2ebe47e15c7e0f13c4">FP4_BLS48_nconj</a></div><div class="ttdeci">void FP4_BLS48_nconj(FP4_BLS48 *x, FP4_BLS48 *y)</div><div class="ttdoc">Negative conjugation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:133</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a2590a102da0a4a35beb128ef12c98274"><div class="ttname"><a href="fp4__BLS48_8h.html#a2590a102da0a4a35beb128ef12c98274">FP4_BLS48_div2</a></div><div class="ttdeci">void FP4_BLS48_div2(FP4_BLS48 *x, FP4_BLS48 *y)</div><div class="ttdoc">Divide an FP4 by 2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:586</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_af8b1fe406e11592dc5a43104830688b2"><div class="ttname"><a href="fp4__BLS48_8h.html#af8b1fe406e11592dc5a43104830688b2">FP4_BLS48_one</a></div><div class="ttdeci">void FP4_BLS48_one(FP4_BLS48 *x)</div><div class="ttdoc">Set FP4 to unity. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:101</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_ad312305310dec6c7711a618569ad0e55"><div class="ttname"><a href="fp4__BLS48_8h.html#ad312305310dec6c7711a618569ad0e55">FP4_BLS48_pmul</a></div><div class="ttdeci">void FP4_BLS48_pmul(FP4_BLS48 *x, FP4_BLS48 *y, FP2_BLS48 *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:174</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_af3af02656fbe4dc092e970963375b317"><div class="ttname"><a href="fp4__BLS48_8h.html#af3af02656fbe4dc092e970963375b317">FP4_BLS48_neg</a></div><div class="ttdeci">void FP4_BLS48_neg(FP4_BLS48 *x, FP4_BLS48 *y)</div><div class="ttdoc">Negation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:109</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a6d5c64f5dfc4759326fae880204cfaee"><div class="ttname"><a href="fp4__BLS48_8h.html#a6d5c64f5dfc4759326fae880204cfaee">FP4_BLS48_cmove</a></div><div class="ttdeci">void FP4_BLS48_cmove(FP4_BLS48 *x, FP4_BLS48 *y, int s)</div><div class="ttdoc">Conditional copy of FP4 number. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:577</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_ae4db9824ecd22b07903bc0634e53a525"><div class="ttname"><a href="fp4__BLS48_8h.html#ae4db9824ecd22b07903bc0634e53a525">FP4_BLS48_inv</a></div><div class="ttdeci">void FP4_BLS48_inv(FP4_BLS48 *x, FP4_BLS48 *y)</div><div class="ttdoc">Inverting an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:279</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a413bbba3f3c447b099af89a593dd0e9c"><div class="ttname"><a href="fp4__BLS48_8h.html#a413bbba3f3c447b099af89a593dd0e9c">FP4_BLS48_sub</a></div><div class="ttdeci">void FP4_BLS48_sub(FP4_BLS48 *x, FP4_BLS48 *y, FP4_BLS48 *z)</div><div class="ttdoc">subtraction of two FP4s </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:150</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_aa1b4d7399cf0772b267955d0e8947c60"><div class="ttname"><a href="fp4__BLS48_8h.html#aa1b4d7399cf0772b267955d0e8947c60">FP4_BLS48_xtr_D</a></div><div class="ttdeci">void FP4_BLS48_xtr_D(FP4_BLS48 *r, FP4_BLS48 *x)</div><div class="ttdoc">Calculates the XTR doubling function r=x^2-2*conj(x) </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:373</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a1f93ad93d5ba74d6d94faaa1f20a3804"><div class="ttname"><a href="fp4__BLS48_8h.html#a1f93ad93d5ba74d6d94faaa1f20a3804">FP4_BLS48_norm</a></div><div class="ttdeci">void FP4_BLS48_norm(FP4_BLS48 *x)</div><div class="ttdoc">Normalises the components of an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:166</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_aeef78c9ffe63c523ae8aa7999864dfe1"><div class="ttname"><a href="fp4__BLS48_8h.html#aeef78c9ffe63c523ae8aa7999864dfe1">FP4_BLS48_output</a></div><div class="ttdeci">void FP4_BLS48_output(FP4_BLS48 *x)</div><div class="ttdoc">Formats and outputs an FP4 to the console. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:258</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_aba6a37948a143c156c1efe1be1e1095f"><div class="ttname"><a href="fp4__BLS48_8h.html#aba6a37948a143c156c1efe1be1e1095f">FP4_BLS48_div_i</a></div><div class="ttdeci">void FP4_BLS48_div_i(FP4_BLS48 *x)</div><div class="ttdoc">Divide FP4 number by QNR. </div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a6257c181dcb5169cf3b7ef0a71ed6cc6"><div class="ttname"><a href="fp4__BLS48_8h.html#a6257c181dcb5169cf3b7ef0a71ed6cc6">FP4_BLS48_from_FP2s</a></div><div class="ttdeci">void FP4_BLS48_from_FP2s(FP4_BLS48 *x, FP2_BLS48 *a, FP2_BLS48 *b)</div><div class="ttdoc">Initialise FP4 from two FP2s. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:60</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a5f843b9d548c32a78f3b7bc3fcf3317c"><div class="ttname"><a href="fp4__BLS48_8h.html#a5f843b9d548c32a78f3b7bc3fcf3317c">FP4_BLS48_zero</a></div><div class="ttdeci">void FP4_BLS48_zero(FP4_BLS48 *x)</div><div class="ttdoc">Set FP4 to zero. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:93</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a3c770dc5f63dc7b98312d89bc0bf3ced"><div class="ttname"><a href="fp4__BLS48_8h.html#a3c770dc5f63dc7b98312d89bc0bf3ced">FP4_BLS48_sqr</a></div><div class="ttdeci">void FP4_BLS48_sqr(FP4_BLS48 *x, FP4_BLS48 *y)</div><div class="ttdoc">Squaring an FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:197</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_ace1922795087728455377dd367de0edf"><div class="ttname"><a href="fp4__BLS48_8h.html#ace1922795087728455377dd367de0edf">FP4_BLS48_times_i</a></div><div class="ttdeci">void FP4_BLS48_times_i(FP4_BLS48 *x)</div><div class="ttdoc">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:296</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a0e216c665d9fa1b58b97b6c632dea3fe"><div class="ttname"><a href="fp4__BLS48_8h.html#a0e216c665d9fa1b58b97b6c632dea3fe">FP4_BLS48_frob</a></div><div class="ttdeci">void FP4_BLS48_frob(FP4_BLS48 *x, FP2_BLS48 *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_BLS48.c:317</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a746de0c0bc1ec861cfed6722e0d30e8b"><div class="ttname"><a href="fp4__BLS48_8h.html#a746de0c0bc1ec861cfed6722e0d30e8b">FP4_BLS48_conj</a></div><div class="ttdeci">void FP4_BLS48_conj(FP4_BLS48 *x, FP4_BLS48 *y)</div><div class="ttdoc">Conjugation of FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:124</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_acb7e1028a445e89d140601da6d435163"><div class="ttname"><a href="fp4__BLS48_8h.html#acb7e1028a445e89d140601da6d435163">FP4_BLS48_mul</a></div><div class="ttdeci">void FP4_BLS48_mul(FP4_BLS48 *x, FP4_BLS48 *y, FP4_BLS48 *z)</div><div class="ttdoc">Multiplication of two FP4s. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:228</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_afd999e44fb13758199e613d1bae1c50b"><div class="ttname"><a href="fp4__BLS48_8h.html#afd999e44fb13758199e613d1bae1c50b">FP4_BLS48_qmul</a></div><div class="ttdeci">void FP4_BLS48_qmul(FP4_BLS48 *x, FP4_BLS48 *y, FP_BLS48 *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:181</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_ab0b448803ddb2cea361e9ac0040809ac"><div class="ttname"><a href="fp4__BLS48_8h.html#ab0b448803ddb2cea361e9ac0040809ac">FP4_BLS48_rawoutput</a></div><div class="ttdeci">void FP4_BLS48_rawoutput(FP4_BLS48 *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_BLS48.c:268</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_af56ef475c8920506a91f68ca35ffdce7"><div class="ttname"><a href="fp4__BLS48_8h.html#af56ef475c8920506a91f68ca35ffdce7">FP4_BLS48_copy</a></div><div class="ttdeci">void FP4_BLS48_copy(FP4_BLS48 *x, FP4_BLS48 *y)</div><div class="ttdoc">Copy FP4 to another FP4. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:84</div></div>
<div class="ttc" id="structFP__BLS48_html"><div class="ttname"><a href="structFP__BLS48.html">FP_BLS48</a></div><div class="ttdoc">FP Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp_BLS48.h:38</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a611249afb40710ab421ef9613a1a5514"><div class="ttname"><a href="fp4__BLS48_8h.html#a611249afb40710ab421ef9613a1a5514">FP4_BLS48_iszilch</a></div><div class="ttdeci">int FP4_BLS48_iszilch(FP4_BLS48 *x)</div><div class="ttdoc">Tests for FP4 equal to zero. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:29</div></div>
<div class="ttc" id="structFP4__BLS48_html_af5478a59b96586d558e008c26352a40f"><div class="ttname"><a href="structFP4__BLS48.html#af5478a59b96586d558e008c26352a40f">FP4_BLS48::b</a></div><div class="ttdeci">FP2_BLS48 b</div><div class="ttdef"><b>Definition:</b> fp4_BLS48.h:40</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a7761ccbdac6b2c1d8f7ec4ddd9b52888"><div class="ttname"><a href="fp4__BLS48_8h.html#a7761ccbdac6b2c1d8f7ec4ddd9b52888">FP4_BLS48_xtr_pow2</a></div><div class="ttdeci">void FP4_BLS48_xtr_pow2(FP4_BLS48 *r, FP4_BLS48 *c, FP4_BLS48 *d, FP4_BLS48 *e, FP4_BLS48 *f, BIG_560_58 a, BIG_560_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_BLS48.c:444</div></div>
<div class="ttc" id="structFP4__BLS48_html"><div class="ttname"><a href="structFP4__BLS48.html">FP4_BLS48</a></div><div class="ttdoc">FP4 Structure - towered over two FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.h:37</div></div>
<div class="ttc" id="structFP4__BLS48_html_a724e2e8a3e6980420f72d8b08221c04c"><div class="ttname"><a href="structFP4__BLS48.html#a724e2e8a3e6980420f72d8b08221c04c">FP4_BLS48::a</a></div><div class="ttdeci">FP2_BLS48 a</div><div class="ttdef"><b>Definition:</b> fp4_BLS48.h:39</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_ae620370a55b3cc57c32a5b3a792cc83f"><div class="ttname"><a href="fp4__BLS48_8h.html#ae620370a55b3cc57c32a5b3a792cc83f">FP4_BLS48_add</a></div><div class="ttdeci">void FP4_BLS48_add(FP4_BLS48 *x, FP4_BLS48 *y, FP4_BLS48 *z)</div><div class="ttdoc">addition of two FP4s </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:142</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_af5adb021441cfcfa36edfec9cc847563"><div class="ttname"><a href="fp4__BLS48_8h.html#af5adb021441cfcfa36edfec9cc847563">FP4_BLS48_from_FP2</a></div><div class="ttdeci">void FP4_BLS48_from_FP2(FP4_BLS48 *x, FP2_BLS48 *a)</div><div class="ttdoc">Initialise FP4 from single FP2. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:68</div></div>
<div class="ttc" id="structFP2__BLS48_html"><div class="ttname"><a href="structFP2__BLS48.html">FP2_BLS48</a></div><div class="ttdoc">FP2 Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp2_BLS48.h:36</div></div>
<div class="ttc" id="big__560__58_8h_html_a6149450df1017dc5c4ef9e54fad78b30"><div class="ttname"><a href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a></div><div class="ttdeci">chunk BIG_560_58[NLEN_560_58]</div><div class="ttdef"><b>Definition:</b> big_560_58.h:58</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_ae581788163f859ba4441bc9dbf8e2871"><div class="ttname"><a href="fp4__BLS48_8h.html#ae581788163f859ba4441bc9dbf8e2871">FP4_BLS48_imul</a></div><div class="ttdeci">void FP4_BLS48_imul(FP4_BLS48 *x, FP4_BLS48 *y, int i)</div><div class="ttdoc">Multiplication of an FP4 by a small integer. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:189</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a6432453fb0c1651a2fe5a1ae800e42f0"><div class="ttname"><a href="fp4__BLS48_8h.html#a6432453fb0c1651a2fe5a1ae800e42f0">FP4_BLS48_xtr_pow</a></div><div class="ttdeci">void FP4_BLS48_xtr_pow(FP4_BLS48 *r, FP4_BLS48 *x, BIG_560_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_BLS48.c:387</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_af0be99ef8adc0fa40b416ad19a637c24"><div class="ttname"><a href="fp4__BLS48_8h.html#af0be99ef8adc0fa40b416ad19a637c24">FP4_BLS48_reduce</a></div><div class="ttdeci">void FP4_BLS48_reduce(FP4_BLS48 *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP4 mod Modulus. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:158</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a70dd2a09a51461b47ab7dc4e194c49b6"><div class="ttname"><a href="fp4__BLS48_8h.html#a70dd2a09a51461b47ab7dc4e194c49b6">FP4_BLS48_equals</a></div><div class="ttdeci">int FP4_BLS48_equals(FP4_BLS48 *x, FP4_BLS48 *y)</div><div class="ttdoc">Tests for equality of two FP4s. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:51</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a11666c444b99c9d75c2a15fe664fdf85"><div class="ttname"><a href="fp4__BLS48_8h.html#a11666c444b99c9d75c2a15fe664fdf85">FP4_BLS48_div_2i</a></div><div class="ttdeci">void FP4_BLS48_div_2i(FP4_BLS48 *x)</div><div class="ttdoc">Divide an FP4 by QNR/2. </div></div>
<div class="ttc" id="fp2__BLS48_8h_html"><div class="ttname"><a href="fp2__BLS48_8h.html">fp2_BLS48.h</a></div><div class="ttdoc">FP2 Header File. </div></div>
<div class="ttc" id="fp4__BLS48_8h_html_a7e5d6e85ee5a2b220bebaaeb337b514f"><div class="ttname"><a href="fp4__BLS48_8h.html#a7e5d6e85ee5a2b220bebaaeb337b514f">FP4_BLS48_pow</a></div><div class="ttdeci">void FP4_BLS48_pow(FP4_BLS48 *x, FP4_BLS48 *y, BIG_560_58 b)</div><div class="ttdoc">Raises an FP4 to the power of a BIG. </div><div class="ttdef"><b>Definition:</b> fp4_BLS48.c:326</div></div>
<div class="ttc" id="fp4__BLS48_8h_html_aee712744f5a6490f398a2169ab079305"><div class="ttname"><a href="fp4__BLS48_8h.html#aee712744f5a6490f398a2169ab079305">FP4_BLS48_isreal</a></div><div class="ttdeci">int FP4_BLS48_isreal(FP4_BLS48 *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_BLS48.c:44</div></div>
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