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<a href="fp4__FP512BN_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_FP512BN_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP4_FP512BN_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__FP512BN_8h.html">fp2_FP512BN.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_FP512BN.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__FP512BN.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__FP512BN.html#a1b4bc5338f72373ea2d873ac2fa56738"> 39</a></span>&#160; <a class="code" href="structFP2__FP512BN.html">FP2_FP512BN</a> <a class="code" href="structFP4__FP512BN.html#a1b4bc5338f72373ea2d873ac2fa56738">a</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structFP4__FP512BN.html#a9ed745b9be02391665e4fd43cd2a6665"> 40</a></span>&#160; <a class="code" href="structFP2__FP512BN.html">FP2_FP512BN</a> <a class="code" href="structFP4__FP512BN.html#a9ed745b9be02391665e4fd43cd2a6665">b</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;} <a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a9bf6e54ebdf4cf77ce498c0e01315bb8">FP4_FP512BN_iszilch</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a6e7f8e53d4fd9b50d38e34406be704eb">FP4_FP512BN_isunity</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a1547e186db86b79552f24fa155328762">FP4_FP512BN_equals</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a131f3d69c4f02a3fd77552800312a9b0">FP4_FP512BN_isreal</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a1ba45e3a45e44fc0d557eab693f8f0c1">FP4_FP512BN_from_FP2s</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP2__FP512BN.html">FP2_FP512BN</a> *a,<a class="code" href="structFP2__FP512BN.html">FP2_FP512BN</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__FP512BN_8h.html#a11a400fdbceac7932ecc5d151dc4b268">FP4_FP512BN_from_FP2</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP2__FP512BN.html">FP2_FP512BN</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__FP512BN_8h.html#a4321901ba6571f18f0bc34ee6034cf6a">FP4_FP512BN_from_FP2H</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP2__FP512BN.html">FP2_FP512BN</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__FP512BN_8h.html#abd0b618186ec3ff610cdf4f3c0a0ecb0">FP4_FP512BN_copy</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a0f46b3f4f84ce7e0e9bf904d347cce67">FP4_FP512BN_zero</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a6991205e8dc3ea3cf96232e418ebbe7e">FP4_FP512BN_one</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a668a798a3ef290d07c61a2476d512a7b">FP4_FP512BN_neg</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a4f96e2e83333432e945cf0dd7c09d6df">FP4_FP512BN_conj</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a8eb2d3331714b15dd853741bc5ed891b">FP4_FP512BN_nconj</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a511999d4f1c5095d7218cfb6bed10836">FP4_FP512BN_add</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a5e3502fed7ff972b79f2aaa4f279eda4">FP4_FP512BN_sub</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#ae844274cce222eea5666b72fd437ed5e">FP4_FP512BN_pmul</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y,<a class="code" href="structFP2__FP512BN.html">FP2_FP512BN</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__FP512BN_8h.html#ac7559aca29c1eba4a1632f6540be328d">FP4_FP512BN_qmul</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y,<a class="code" href="structFP__FP512BN.html">FP_FP512BN</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__FP512BN_8h.html#abfd09dcead65f65ec0c182dd04a12e5d">FP4_FP512BN_imul</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a7b0a9d8ff1697840b3ece1bdf228f5c9">FP4_FP512BN_sqr</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a017e146ddde3dadaf352d0f76b1b6e5c">FP4_FP512BN_mul</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a1c479aaca4c807bc3e9c23b21926a860">FP4_FP512BN_inv</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a2425241a9aff02d1a9e482760dcd6e9a">FP4_FP512BN_output</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#af2ff06306e5afa6c0980b65de0befef9">FP4_FP512BN_rawoutput</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#ab64a6c0b8a22e61740dda8aa0b67a9bd">FP4_FP512BN_times_i</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a2d988a02e4dd570e48936448e9634bab">FP4_FP512BN_norm</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a842271a8acfb88d76bd380f94f11ef28">FP4_FP512BN_reduce</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#aa58001e923ceffe6ce9ae7a9cd3fb706">FP4_FP512BN_pow</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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__FP512BN_8h.html#a72b63df60bb1fc00522373999f1708c2">FP4_FP512BN_frob</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP2__FP512BN.html">FP2_FP512BN</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__FP512BN_8h.html#ae313d51df7f087720e248f7ed45cae58">FP4_FP512BN_xtr_A</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *w,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a4d9e50f4df0e1c6df6b6f9db5cf2cd4f">FP4_FP512BN_xtr_D</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a78a205ce8e9aba387ca26c21a5e0f607">FP4_FP512BN_xtr_pow</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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__FP512BN_8h.html#afb710c546a34d86968dd427806911893">FP4_FP512BN_xtr_pow2</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *c,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *d,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *e,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *f,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> a,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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__FP512BN_8h.html#a17c85a954730bb105c835013feed9301">FP4_FP512BN_cmove</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a8f27ea24f45e96d6cac00b68eff1b08f">FP4_FP512BN_sqrt</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a130f53f1160218c4dfca4edb4be888dd">FP4_FP512BN_div_i</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#a094efe0f530e6d824caea5e1175f71ff">FP4_FP512BN_div_2i</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h.html#afbd984d611446c470bb72f51576dc7ee">FP4_FP512BN_div2</a>(<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x,<a class="code" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN_8h_html_ac7559aca29c1eba4a1632f6540be328d"><div class="ttname"><a href="fp4__FP512BN_8h.html#ac7559aca29c1eba4a1632f6540be328d">FP4_FP512BN_qmul</a></div><div class="ttdeci">void FP4_FP512BN_qmul(FP4_FP512BN *x, FP4_FP512BN *y, FP_FP512BN *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:181</div></div>
<div class="ttc" id="big__512__60_8h_html_a38953b585df73ecbd30fded6cc5b54b7"><div class="ttname"><a href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a></div><div class="ttdeci">chunk BIG_512_60[NLEN_512_60]</div><div class="ttdef"><b>Definition:</b> big_512_60.h:58</div></div>
<div class="ttc" id="structFP__FP512BN_html"><div class="ttname"><a href="structFP__FP512BN.html">FP_FP512BN</a></div><div class="ttdoc">FP Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp_FP512BN.h:38</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a4d9e50f4df0e1c6df6b6f9db5cf2cd4f"><div class="ttname"><a href="fp4__FP512BN_8h.html#a4d9e50f4df0e1c6df6b6f9db5cf2cd4f">FP4_FP512BN_xtr_D</a></div><div class="ttdeci">void FP4_FP512BN_xtr_D(FP4_FP512BN *r, FP4_FP512BN *x)</div><div class="ttdoc">Calculates the XTR doubling function r=x^2-2*conj(x)</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:373</div></div>
<div class="ttc" id="structFP4__FP512BN_html_a1b4bc5338f72373ea2d873ac2fa56738"><div class="ttname"><a href="structFP4__FP512BN.html#a1b4bc5338f72373ea2d873ac2fa56738">FP4_FP512BN::a</a></div><div class="ttdeci">FP2_FP512BN a</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.h:39</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_aa58001e923ceffe6ce9ae7a9cd3fb706"><div class="ttname"><a href="fp4__FP512BN_8h.html#aa58001e923ceffe6ce9ae7a9cd3fb706">FP4_FP512BN_pow</a></div><div class="ttdeci">void FP4_FP512BN_pow(FP4_FP512BN *x, FP4_FP512BN *y, BIG_512_60 b)</div><div class="ttdoc">Raises an FP4 to the power of a BIG.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:326</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_afb710c546a34d86968dd427806911893"><div class="ttname"><a href="fp4__FP512BN_8h.html#afb710c546a34d86968dd427806911893">FP4_FP512BN_xtr_pow2</a></div><div class="ttdeci">void FP4_FP512BN_xtr_pow2(FP4_FP512BN *r, FP4_FP512BN *c, FP4_FP512BN *d, FP4_FP512BN *e, FP4_FP512BN *f, BIG_512_60 a, BIG_512_60 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_FP512BN.c:444</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a78a205ce8e9aba387ca26c21a5e0f607"><div class="ttname"><a href="fp4__FP512BN_8h.html#a78a205ce8e9aba387ca26c21a5e0f607">FP4_FP512BN_xtr_pow</a></div><div class="ttdeci">void FP4_FP512BN_xtr_pow(FP4_FP512BN *r, FP4_FP512BN *x, BIG_512_60 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_FP512BN.c:387</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a017e146ddde3dadaf352d0f76b1b6e5c"><div class="ttname"><a href="fp4__FP512BN_8h.html#a017e146ddde3dadaf352d0f76b1b6e5c">FP4_FP512BN_mul</a></div><div class="ttdeci">void FP4_FP512BN_mul(FP4_FP512BN *x, FP4_FP512BN *y, FP4_FP512BN *z)</div><div class="ttdoc">Multiplication of two FP4s.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:228</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a0f46b3f4f84ce7e0e9bf904d347cce67"><div class="ttname"><a href="fp4__FP512BN_8h.html#a0f46b3f4f84ce7e0e9bf904d347cce67">FP4_FP512BN_zero</a></div><div class="ttdeci">void FP4_FP512BN_zero(FP4_FP512BN *x)</div><div class="ttdoc">Set FP4 to zero.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:93</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a8eb2d3331714b15dd853741bc5ed891b"><div class="ttname"><a href="fp4__FP512BN_8h.html#a8eb2d3331714b15dd853741bc5ed891b">FP4_FP512BN_nconj</a></div><div class="ttdeci">void FP4_FP512BN_nconj(FP4_FP512BN *x, FP4_FP512BN *y)</div><div class="ttdoc">Negative conjugation of FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:133</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a6991205e8dc3ea3cf96232e418ebbe7e"><div class="ttname"><a href="fp4__FP512BN_8h.html#a6991205e8dc3ea3cf96232e418ebbe7e">FP4_FP512BN_one</a></div><div class="ttdeci">void FP4_FP512BN_one(FP4_FP512BN *x)</div><div class="ttdoc">Set FP4 to unity.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:101</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a842271a8acfb88d76bd380f94f11ef28"><div class="ttname"><a href="fp4__FP512BN_8h.html#a842271a8acfb88d76bd380f94f11ef28">FP4_FP512BN_reduce</a></div><div class="ttdeci">void FP4_FP512BN_reduce(FP4_FP512BN *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP4 mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:158</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a17c85a954730bb105c835013feed9301"><div class="ttname"><a href="fp4__FP512BN_8h.html#a17c85a954730bb105c835013feed9301">FP4_FP512BN_cmove</a></div><div class="ttdeci">void FP4_FP512BN_cmove(FP4_FP512BN *x, FP4_FP512BN *y, int s)</div><div class="ttdoc">Conditional copy of FP4 number.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:577</div></div>
<div class="ttc" id="structFP2__FP512BN_html"><div class="ttname"><a href="structFP2__FP512BN.html">FP2_FP512BN</a></div><div class="ttdoc">FP2 Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp2_FP512BN.h:36</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a6e7f8e53d4fd9b50d38e34406be704eb"><div class="ttname"><a href="fp4__FP512BN_8h.html#a6e7f8e53d4fd9b50d38e34406be704eb">FP4_FP512BN_isunity</a></div><div class="ttdeci">int FP4_FP512BN_isunity(FP4_FP512BN *x)</div><div class="ttdoc">Tests for FP4 equal to unity.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:37</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a4f96e2e83333432e945cf0dd7c09d6df"><div class="ttname"><a href="fp4__FP512BN_8h.html#a4f96e2e83333432e945cf0dd7c09d6df">FP4_FP512BN_conj</a></div><div class="ttdeci">void FP4_FP512BN_conj(FP4_FP512BN *x, FP4_FP512BN *y)</div><div class="ttdoc">Conjugation of FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:124</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a8f27ea24f45e96d6cac00b68eff1b08f"><div class="ttname"><a href="fp4__FP512BN_8h.html#a8f27ea24f45e96d6cac00b68eff1b08f">FP4_FP512BN_sqrt</a></div><div class="ttdeci">int FP4_FP512BN_sqrt(FP4_FP512BN *r, FP4_FP512BN *x)</div><div class="ttdoc">Calculate square root of an FP4.</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a1547e186db86b79552f24fa155328762"><div class="ttname"><a href="fp4__FP512BN_8h.html#a1547e186db86b79552f24fa155328762">FP4_FP512BN_equals</a></div><div class="ttdeci">int FP4_FP512BN_equals(FP4_FP512BN *x, FP4_FP512BN *y)</div><div class="ttdoc">Tests for equality of two FP4s.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:51</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a1c479aaca4c807bc3e9c23b21926a860"><div class="ttname"><a href="fp4__FP512BN_8h.html#a1c479aaca4c807bc3e9c23b21926a860">FP4_FP512BN_inv</a></div><div class="ttdeci">void FP4_FP512BN_inv(FP4_FP512BN *x, FP4_FP512BN *y)</div><div class="ttdoc">Inverting an FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:279</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_abd0b618186ec3ff610cdf4f3c0a0ecb0"><div class="ttname"><a href="fp4__FP512BN_8h.html#abd0b618186ec3ff610cdf4f3c0a0ecb0">FP4_FP512BN_copy</a></div><div class="ttdeci">void FP4_FP512BN_copy(FP4_FP512BN *x, FP4_FP512BN *y)</div><div class="ttdoc">Copy FP4 to another FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:84</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a1ba45e3a45e44fc0d557eab693f8f0c1"><div class="ttname"><a href="fp4__FP512BN_8h.html#a1ba45e3a45e44fc0d557eab693f8f0c1">FP4_FP512BN_from_FP2s</a></div><div class="ttdeci">void FP4_FP512BN_from_FP2s(FP4_FP512BN *x, FP2_FP512BN *a, FP2_FP512BN *b)</div><div class="ttdoc">Initialise FP4 from two FP2s.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:60</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a130f53f1160218c4dfca4edb4be888dd"><div class="ttname"><a href="fp4__FP512BN_8h.html#a130f53f1160218c4dfca4edb4be888dd">FP4_FP512BN_div_i</a></div><div class="ttdeci">void FP4_FP512BN_div_i(FP4_FP512BN *x)</div><div class="ttdoc">Divide FP4 number by QNR.</div></div>
<div class="ttc" id="fp2__FP512BN_8h_html"><div class="ttname"><a href="fp2__FP512BN_8h.html">fp2_FP512BN.h</a></div><div class="ttdoc">FP2 Header File.</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a668a798a3ef290d07c61a2476d512a7b"><div class="ttname"><a href="fp4__FP512BN_8h.html#a668a798a3ef290d07c61a2476d512a7b">FP4_FP512BN_neg</a></div><div class="ttdeci">void FP4_FP512BN_neg(FP4_FP512BN *x, FP4_FP512BN *y)</div><div class="ttdoc">Negation of FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:109</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a9bf6e54ebdf4cf77ce498c0e01315bb8"><div class="ttname"><a href="fp4__FP512BN_8h.html#a9bf6e54ebdf4cf77ce498c0e01315bb8">FP4_FP512BN_iszilch</a></div><div class="ttdeci">int FP4_FP512BN_iszilch(FP4_FP512BN *x)</div><div class="ttdoc">Tests for FP4 equal to zero.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:29</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_af2ff06306e5afa6c0980b65de0befef9"><div class="ttname"><a href="fp4__FP512BN_8h.html#af2ff06306e5afa6c0980b65de0befef9">FP4_FP512BN_rawoutput</a></div><div class="ttdeci">void FP4_FP512BN_rawoutput(FP4_FP512BN *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_FP512BN.c:268</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a2d988a02e4dd570e48936448e9634bab"><div class="ttname"><a href="fp4__FP512BN_8h.html#a2d988a02e4dd570e48936448e9634bab">FP4_FP512BN_norm</a></div><div class="ttdeci">void FP4_FP512BN_norm(FP4_FP512BN *x)</div><div class="ttdoc">Normalises the components of an FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:166</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a72b63df60bb1fc00522373999f1708c2"><div class="ttname"><a href="fp4__FP512BN_8h.html#a72b63df60bb1fc00522373999f1708c2">FP4_FP512BN_frob</a></div><div class="ttdeci">void FP4_FP512BN_frob(FP4_FP512BN *x, FP2_FP512BN *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_FP512BN.c:317</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_ae313d51df7f087720e248f7ed45cae58"><div class="ttname"><a href="fp4__FP512BN_8h.html#ae313d51df7f087720e248f7ed45cae58">FP4_FP512BN_xtr_A</a></div><div class="ttdeci">void FP4_FP512BN_xtr_A(FP4_FP512BN *r, FP4_FP512BN *w, FP4_FP512BN *x, FP4_FP512BN *y, FP4_FP512BN *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_FP512BN.c:353</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_afbd984d611446c470bb72f51576dc7ee"><div class="ttname"><a href="fp4__FP512BN_8h.html#afbd984d611446c470bb72f51576dc7ee">FP4_FP512BN_div2</a></div><div class="ttdeci">void FP4_FP512BN_div2(FP4_FP512BN *x, FP4_FP512BN *y)</div><div class="ttdoc">Divide an FP4 by 2.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:586</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a094efe0f530e6d824caea5e1175f71ff"><div class="ttname"><a href="fp4__FP512BN_8h.html#a094efe0f530e6d824caea5e1175f71ff">FP4_FP512BN_div_2i</a></div><div class="ttdeci">void FP4_FP512BN_div_2i(FP4_FP512BN *x)</div><div class="ttdoc">Divide an FP4 by QNR/2.</div></div>
<div class="ttc" id="structFP4__FP512BN_html"><div class="ttname"><a href="structFP4__FP512BN.html">FP4_FP512BN</a></div><div class="ttdoc">FP4 Structure - towered over two FP2.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.h:37</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a7b0a9d8ff1697840b3ece1bdf228f5c9"><div class="ttname"><a href="fp4__FP512BN_8h.html#a7b0a9d8ff1697840b3ece1bdf228f5c9">FP4_FP512BN_sqr</a></div><div class="ttdeci">void FP4_FP512BN_sqr(FP4_FP512BN *x, FP4_FP512BN *y)</div><div class="ttdoc">Squaring an FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:197</div></div>
<div class="ttc" id="structFP4__FP512BN_html_a9ed745b9be02391665e4fd43cd2a6665"><div class="ttname"><a href="structFP4__FP512BN.html#a9ed745b9be02391665e4fd43cd2a6665">FP4_FP512BN::b</a></div><div class="ttdeci">FP2_FP512BN b</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.h:40</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a2425241a9aff02d1a9e482760dcd6e9a"><div class="ttname"><a href="fp4__FP512BN_8h.html#a2425241a9aff02d1a9e482760dcd6e9a">FP4_FP512BN_output</a></div><div class="ttdeci">void FP4_FP512BN_output(FP4_FP512BN *x)</div><div class="ttdoc">Formats and outputs an FP4 to the console.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:258</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a5e3502fed7ff972b79f2aaa4f279eda4"><div class="ttname"><a href="fp4__FP512BN_8h.html#a5e3502fed7ff972b79f2aaa4f279eda4">FP4_FP512BN_sub</a></div><div class="ttdeci">void FP4_FP512BN_sub(FP4_FP512BN *x, FP4_FP512BN *y, FP4_FP512BN *z)</div><div class="ttdoc">subtraction of two FP4s</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:150</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_abfd09dcead65f65ec0c182dd04a12e5d"><div class="ttname"><a href="fp4__FP512BN_8h.html#abfd09dcead65f65ec0c182dd04a12e5d">FP4_FP512BN_imul</a></div><div class="ttdeci">void FP4_FP512BN_imul(FP4_FP512BN *x, FP4_FP512BN *y, int i)</div><div class="ttdoc">Multiplication of an FP4 by a small integer.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:189</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_ae844274cce222eea5666b72fd437ed5e"><div class="ttname"><a href="fp4__FP512BN_8h.html#ae844274cce222eea5666b72fd437ed5e">FP4_FP512BN_pmul</a></div><div class="ttdeci">void FP4_FP512BN_pmul(FP4_FP512BN *x, FP4_FP512BN *y, FP2_FP512BN *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP2.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:174</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a131f3d69c4f02a3fd77552800312a9b0"><div class="ttname"><a href="fp4__FP512BN_8h.html#a131f3d69c4f02a3fd77552800312a9b0">FP4_FP512BN_isreal</a></div><div class="ttdeci">int FP4_FP512BN_isreal(FP4_FP512BN *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_FP512BN.c:44</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_ab64a6c0b8a22e61740dda8aa0b67a9bd"><div class="ttname"><a href="fp4__FP512BN_8h.html#ab64a6c0b8a22e61740dda8aa0b67a9bd">FP4_FP512BN_times_i</a></div><div class="ttdeci">void FP4_FP512BN_times_i(FP4_FP512BN *x)</div><div class="ttdoc">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1))</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:296</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a511999d4f1c5095d7218cfb6bed10836"><div class="ttname"><a href="fp4__FP512BN_8h.html#a511999d4f1c5095d7218cfb6bed10836">FP4_FP512BN_add</a></div><div class="ttdeci">void FP4_FP512BN_add(FP4_FP512BN *x, FP4_FP512BN *y, FP4_FP512BN *z)</div><div class="ttdoc">addition of two FP4s</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:142</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a11a400fdbceac7932ecc5d151dc4b268"><div class="ttname"><a href="fp4__FP512BN_8h.html#a11a400fdbceac7932ecc5d151dc4b268">FP4_FP512BN_from_FP2</a></div><div class="ttdeci">void FP4_FP512BN_from_FP2(FP4_FP512BN *x, FP2_FP512BN *a)</div><div class="ttdoc">Initialise FP4 from single FP2.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:68</div></div>
<div class="ttc" id="fp4__FP512BN_8h_html_a4321901ba6571f18f0bc34ee6034cf6a"><div class="ttname"><a href="fp4__FP512BN_8h.html#a4321901ba6571f18f0bc34ee6034cf6a">FP4_FP512BN_from_FP2H</a></div><div class="ttdeci">void FP4_FP512BN_from_FP2H(FP4_FP512BN *x, FP2_FP512BN *a)</div><div class="ttdoc">Initialise FP4 from single FP2.</div><div class="ttdef"><b>Definition:</b> fp4_FP512BN.c:76</div></div>
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