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| <a href="ff__4096_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> <span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <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> <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> <span class="comment"> distributed with this work for additional information</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <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> <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> <span class="comment"> "License"); you may not use this file except in compliance</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <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> <span class="comment"></span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <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> <span class="comment"></span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <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> <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> <span class="comment"> "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <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> <span class="comment"> specific language governing permissions and limitations</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> under the License.</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">*/</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#ifndef FF_4096_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#define FF_4096_H</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="big__512__60_8h.html">big_512_60.h</a>"</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="config__ff__4096_8h.html">config_ff_4096.h</a>"</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div><div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="ff__4096_8h.html#a7f6ddf757543171f82e428ac7d423a11"> 33</a></span> <span class="preprocessor">#define HFLEN_4096 (FFLEN_4096/2) </span></div><div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="ff__4096_8h.html#a2a5eefc75994091eb32c356d2ac4ef74"> 34</a></span> <span class="preprocessor">#define P_MBITS_4096 (MODBYTES_512_60*8) </span></div><div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="ff__4096_8h.html#a5ba9da7c29e141e405df229d57698561"> 35</a></span> <span class="preprocessor">#define P_TBITS_4096 (P_MBITS_4096%BASEBITS_512_60) </span></div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="ff__4096_8h.html#a07368efd518f012615129b503e86071a"> 36</a></span> <span class="preprocessor">#define P_EXCESS_4096(a) (((a[NLEN_512_60-1])>>(P_TBITS_4096))+1) </span></div><div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="ff__4096_8h.html#a99298f8dcffe9f3fc923400b35d7a931"> 37</a></span> <span class="preprocessor">#define P_FEXCESS_4096 ((chunk)1<<(BASEBITS_512_60*NLEN_512_60-P_MBITS_4096-1)) </span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor"></span><span class="comment">/* Finite Field Prototypes */</span><span class="preprocessor"></span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#aa6620d609998d614af0cdbc5bb142fef">FF_4096_copy</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ab2bd58921dc13c16b318fadaaa426c86">FF_4096_init</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a> m,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a820d4aa699f06e9f4dd0ab9af33971ef">FF_4096_zero</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ff__4096_8h.html#a612661860d5a10326a7d1d9bd9fc042a">FF_4096_iszilch</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ff__4096_8h.html#a04c6775eb656571c7405a7c332204b73">FF_4096_parity</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x);</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ff__4096_8h.html#a370584bba01616d2f9183f45a9843892">FF_4096_lastbits</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> m);</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ab1b30b23b1045f3895b332de9c998cb9">FF_4096_one</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ff__4096_8h.html#a73d3c33052d89ca0dee0fb26c4fc2217">FF_4096_comp</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a09fd9cdc5655d0a2e1090e527deadf11">FF_4096_add</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a83e69edebd0e5bf47cdcca2ef66448b3">FF_4096_sub</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a04e75ee7ab59343fb307f1117770efae">FF_4096_inc</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> m,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a9ff126587d142afb94e2269279db66d0">FF_4096_dec</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> m,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a44d26e71554c346b873fc9392b216bbe">FF_4096_norm</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ab541ed2980cbc85257629b615e462180">FF_4096_shl</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a2538dfeb3784df67640232f892bbec0c">FF_4096_shr</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ad08b440a6bd16506069fe9a5a3f81a6b">FF_4096_output</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a1f089c038088d203953933028c17590c">FF_4096_rawoutput</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#affe535d1298125ecf39b6b19d3d5339c">FF_4096_toOctet</a>(<a class="code" href="structoctet.html">octet</a> *S,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a3dd8e90c99742c0448834110713d0e8b">FF_4096_fromOctet</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="structoctet.html">octet</a> *S,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a483766d396120e84c5f4962b3569e7c4">FF_4096_mul</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a16098d5d71673da11edd1b112489e8d7">FF_4096_mod</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#af7fd11300d70bbe3f080656cd2a13b10">FF_4096_sqr</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ad38c38a2d6c7117387bfe65f404ac903">FF_4096_dmod</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a85aa8045e50bea317275eb33bc6a1195">FF_4096_invmodp</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ae25e81829ee9ee3718606b771c6bddbe">FF_4096_invmod2m</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> U[],<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> a[],<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ad3126be04cd16dc624d16a036ab40e0b">FF_4096_random</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="structcsprng.html">csprng</a> *R,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ac7521d5b55e6ceb1ad5ff6dde3245f78">FF_4096_randomnum</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<a class="code" href="structcsprng.html">csprng</a> *R,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a94147045c8870761893c8be1ed1ac28f">FF_4096_skpow</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * e,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p,<span class="keywordtype">int</span> n, <span class="keywordtype">int</span> en);</div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a24cf9585b1c49a1ac674e0055ad41444">FF_4096_skspow</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> e,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a6105e5392c6eb1ccefad29fcf6249d09">FF_4096_skpow2</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *e, <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *f, <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p, <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> en);</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ad607a8113dfc06ba2748acf6889ad6e2">FF_4096_power</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<span class="keywordtype">int</span> e,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a86909027f6afe381756ee285d0140389">FF_4096_pow</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *e,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a6b4764f34fb655cd9e0515a0f70dd20d">FF_4096_pow2</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> e,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> f,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *m,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span> <span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ff__4096_8h.html#a92c6e9c3e736e6ab4f0bffd91f6a78e5">FF_4096_cfactor</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a> s,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ff__4096_8h.html#a0eb6f00726cef964a7276fd573d301ba">FF_4096_prime</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x,<a class="code" href="structcsprng.html">csprng</a> *R,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span> <span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a1a06ae9c3226295b796b318746e19e21">FF_4096_crt</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r, <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *rp, <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *rq, <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p, <a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *q, <span class="keywordtype">int</span> n);</div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span> </div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="ff__4096_8h_html_a820d4aa699f06e9f4dd0ab9af33971ef"><div class="ttname"><a href="ff__4096_8h.html#a820d4aa699f06e9f4dd0ab9af33971ef">FF_4096_zero</a></div><div class="ttdeci">void FF_4096_zero(BIG_512_60 *x, int n)</div><div class="ttdoc">Set FF element of given size to zero. </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="ff__4096_8h_html_a6b4764f34fb655cd9e0515a0f70dd20d"><div class="ttname"><a href="ff__4096_8h.html#a6b4764f34fb655cd9e0515a0f70dd20d">FF_4096_pow2</a></div><div class="ttdeci">void FF_4096_pow2(BIG_512_60 *r, BIG_512_60 *x, BIG_512_60 e, BIG_512_60 *y, BIG_512_60 f, BIG_512_60 *m, int n)</div><div class="ttdoc">Calculate r=x^e.y^f mod m. </div></div> |
| <div class="ttc" id="big__512__60_8h_html"><div class="ttname"><a href="big__512__60_8h.html">big_512_60.h</a></div><div class="ttdoc">BIG Header File. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a44d26e71554c346b873fc9392b216bbe"><div class="ttname"><a href="ff__4096_8h.html#a44d26e71554c346b873fc9392b216bbe">FF_4096_norm</a></div><div class="ttdeci">void FF_4096_norm(BIG_512_60 *x, int n)</div><div class="ttdoc">Normalises the components of an FF. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_ad3126be04cd16dc624d16a036ab40e0b"><div class="ttname"><a href="ff__4096_8h.html#ad3126be04cd16dc624d16a036ab40e0b">FF_4096_random</a></div><div class="ttdeci">void FF_4096_random(BIG_512_60 *x, csprng *R, int n)</div><div class="ttdoc">Create an FF from a random number generator. </div></div> |
| <div class="ttc" id="config__ff__4096_8h_html"><div class="ttname"><a href="config__ff__4096_8h.html">config_ff_4096.h</a></div><div class="ttdoc">COnfig FF Header File. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_ac7521d5b55e6ceb1ad5ff6dde3245f78"><div class="ttname"><a href="ff__4096_8h.html#ac7521d5b55e6ceb1ad5ff6dde3245f78">FF_4096_randomnum</a></div><div class="ttdeci">void FF_4096_randomnum(BIG_512_60 *x, BIG_512_60 *y, csprng *R, int n)</div><div class="ttdoc">Create a random FF less than a given modulus from a random number generator. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a09fd9cdc5655d0a2e1090e527deadf11"><div class="ttname"><a href="ff__4096_8h.html#a09fd9cdc5655d0a2e1090e527deadf11">FF_4096_add</a></div><div class="ttdeci">void FF_4096_add(BIG_512_60 *x, BIG_512_60 *y, BIG_512_60 *z, int n)</div><div class="ttdoc">addition of two FFs </div></div> |
| <div class="ttc" id="ff__4096_8h_html_ab541ed2980cbc85257629b615e462180"><div class="ttname"><a href="ff__4096_8h.html#ab541ed2980cbc85257629b615e462180">FF_4096_shl</a></div><div class="ttdeci">void FF_4096_shl(BIG_512_60 *x, int n)</div><div class="ttdoc">Shift left an FF by 1 bit. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a0eb6f00726cef964a7276fd573d301ba"><div class="ttname"><a href="ff__4096_8h.html#a0eb6f00726cef964a7276fd573d301ba">FF_4096_prime</a></div><div class="ttdeci">int FF_4096_prime(BIG_512_60 *x, csprng *R, int n)</div><div class="ttdoc">Test if an FF is prime. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a1f089c038088d203953933028c17590c"><div class="ttname"><a href="ff__4096_8h.html#a1f089c038088d203953933028c17590c">FF_4096_rawoutput</a></div><div class="ttdeci">void FF_4096_rawoutput(BIG_512_60 *x, int n)</div><div class="ttdoc">Formats and outputs an FF to the console, in raw form. </div></div> |
| <div class="ttc" id="structoctet_html"><div class="ttname"><a href="structoctet.html">octet</a></div><div class="ttdoc">Portable representation of a big positive number. </div><div class="ttdef"><b>Definition:</b> amcl.h:209</div></div> |
| <div class="ttc" id="ff__4096_8h_html_ad08b440a6bd16506069fe9a5a3f81a6b"><div class="ttname"><a href="ff__4096_8h.html#ad08b440a6bd16506069fe9a5a3f81a6b">FF_4096_output</a></div><div class="ttdeci">void FF_4096_output(BIG_512_60 *x, int n)</div><div class="ttdoc">Formats and outputs an FF to the console. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a1a06ae9c3226295b796b318746e19e21"><div class="ttname"><a href="ff__4096_8h.html#a1a06ae9c3226295b796b318746e19e21">FF_4096_crt</a></div><div class="ttdeci">void FF_4096_crt(BIG_512_60 *r, BIG_512_60 *rp, BIG_512_60 *rq, BIG_512_60 *p, BIG_512_60 *q, int n)</div><div class="ttdoc">Combine rp and rq using the Chinese Remainder Theorem. </div><div class="ttdef"><b>Definition:</b> ff_4096.c:1056</div></div> |
| <div class="ttc" id="ff__4096_8h_html_a73d3c33052d89ca0dee0fb26c4fc2217"><div class="ttname"><a href="ff__4096_8h.html#a73d3c33052d89ca0dee0fb26c4fc2217">FF_4096_comp</a></div><div class="ttdeci">int FF_4096_comp(BIG_512_60 *x, BIG_512_60 *y, int n)</div><div class="ttdoc">Compares two FF numbers. Inputs must be normalised externally. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a16098d5d71673da11edd1b112489e8d7"><div class="ttname"><a href="ff__4096_8h.html#a16098d5d71673da11edd1b112489e8d7">FF_4096_mod</a></div><div class="ttdeci">void FF_4096_mod(BIG_512_60 *x, BIG_512_60 *p, int n)</div><div class="ttdoc">Reduce FF mod a modulus. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a9ff126587d142afb94e2269279db66d0"><div class="ttname"><a href="ff__4096_8h.html#a9ff126587d142afb94e2269279db66d0">FF_4096_dec</a></div><div class="ttdeci">void FF_4096_dec(BIG_512_60 *x, int m, int n)</div><div class="ttdoc">Decrement an FF by an integer,and normalise. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a86909027f6afe381756ee285d0140389"><div class="ttname"><a href="ff__4096_8h.html#a86909027f6afe381756ee285d0140389">FF_4096_pow</a></div><div class="ttdeci">void FF_4096_pow(BIG_512_60 *r, BIG_512_60 *x, BIG_512_60 *e, BIG_512_60 *p, int n)</div><div class="ttdoc">Calculate r=x^e mod p. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_ae25e81829ee9ee3718606b771c6bddbe"><div class="ttname"><a href="ff__4096_8h.html#ae25e81829ee9ee3718606b771c6bddbe">FF_4096_invmod2m</a></div><div class="ttdeci">void FF_4096_invmod2m(BIG_512_60 U[], BIG_512_60 a[], int n)</div><div class="ttdoc">Invert an FF mod 2^(n*BIGBITS) </div><div class="ttdef"><b>Definition:</b> ff_4096.c:638</div></div> |
| <div class="ttc" id="ff__4096_8h_html_ab1b30b23b1045f3895b332de9c998cb9"><div class="ttname"><a href="ff__4096_8h.html#ab1b30b23b1045f3895b332de9c998cb9">FF_4096_one</a></div><div class="ttdeci">void FF_4096_one(BIG_512_60 *x, int n)</div><div class="ttdoc">Set FF element of given size to unity. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a92c6e9c3e736e6ab4f0bffd91f6a78e5"><div class="ttname"><a href="ff__4096_8h.html#a92c6e9c3e736e6ab4f0bffd91f6a78e5">FF_4096_cfactor</a></div><div class="ttdeci">int FF_4096_cfactor(BIG_512_60 *x, sign32 s, int n)</div><div class="ttdoc">Test if an FF has factor in common with integer s. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_ad38c38a2d6c7117387bfe65f404ac903"><div class="ttname"><a href="ff__4096_8h.html#ad38c38a2d6c7117387bfe65f404ac903">FF_4096_dmod</a></div><div class="ttdeci">void FF_4096_dmod(BIG_512_60 *x, BIG_512_60 *y, BIG_512_60 *z, int n)</div><div class="ttdoc">Reduces a double-length FF with respect to a given modulus. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a370584bba01616d2f9183f45a9843892"><div class="ttname"><a href="ff__4096_8h.html#a370584bba01616d2f9183f45a9843892">FF_4096_lastbits</a></div><div class="ttdeci">int FF_4096_lastbits(BIG_512_60 *x, int m)</div><div class="ttdoc">return least significant m bits of an FF </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a85aa8045e50bea317275eb33bc6a1195"><div class="ttname"><a href="ff__4096_8h.html#a85aa8045e50bea317275eb33bc6a1195">FF_4096_invmodp</a></div><div class="ttdeci">void FF_4096_invmodp(BIG_512_60 *x, BIG_512_60 *y, BIG_512_60 *z, int n)</div><div class="ttdoc">Invert an FF mod a prime modulus. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a6105e5392c6eb1ccefad29fcf6249d09"><div class="ttname"><a href="ff__4096_8h.html#a6105e5392c6eb1ccefad29fcf6249d09">FF_4096_skpow2</a></div><div class="ttdeci">void FF_4096_skpow2(BIG_512_60 *r, BIG_512_60 *x, BIG_512_60 *e, BIG_512_60 *y, BIG_512_60 *f, BIG_512_60 *p, int n, int en)</div><div class="ttdoc">Calculate r=x^e.y^f mod p for big e and f, side channel resistant. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a04e75ee7ab59343fb307f1117770efae"><div class="ttname"><a href="ff__4096_8h.html#a04e75ee7ab59343fb307f1117770efae">FF_4096_inc</a></div><div class="ttdeci">void FF_4096_inc(BIG_512_60 *x, int m, int n)</div><div class="ttdoc">increment an FF by an integer,and normalise </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a483766d396120e84c5f4962b3569e7c4"><div class="ttname"><a href="ff__4096_8h.html#a483766d396120e84c5f4962b3569e7c4">FF_4096_mul</a></div><div class="ttdeci">void FF_4096_mul(BIG_512_60 *x, BIG_512_60 *y, BIG_512_60 *z, int n)</div><div class="ttdoc">Multiplication of two FFs. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_ad607a8113dfc06ba2748acf6889ad6e2"><div class="ttname"><a href="ff__4096_8h.html#ad607a8113dfc06ba2748acf6889ad6e2">FF_4096_power</a></div><div class="ttdeci">void FF_4096_power(BIG_512_60 *r, BIG_512_60 *x, int e, BIG_512_60 *p, int n)</div><div class="ttdoc">Calculate r=x^e mod p. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_af7fd11300d70bbe3f080656cd2a13b10"><div class="ttname"><a href="ff__4096_8h.html#af7fd11300d70bbe3f080656cd2a13b10">FF_4096_sqr</a></div><div class="ttdeci">void FF_4096_sqr(BIG_512_60 *x, BIG_512_60 *y, int n)</div><div class="ttdoc">Square an FF. </div></div> |
| <div class="ttc" id="arch_8h_html_af31fcb3b74c4bcf6507f62d801277492"><div class="ttname"><a href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a></div><div class="ttdeci">#define sign32</div><div class="ttdef"><b>Definition:</b> arch.h:62</div></div> |
| <div class="ttc" id="ff__4096_8h_html_a04c6775eb656571c7405a7c332204b73"><div class="ttname"><a href="ff__4096_8h.html#a04c6775eb656571c7405a7c332204b73">FF_4096_parity</a></div><div class="ttdeci">int FF_4096_parity(BIG_512_60 *x)</div><div class="ttdoc">return parity of an FF, that is the least significant bit </div></div> |
| <div class="ttc" id="ff__4096_8h_html_ab2bd58921dc13c16b318fadaaa426c86"><div class="ttname"><a href="ff__4096_8h.html#ab2bd58921dc13c16b318fadaaa426c86">FF_4096_init</a></div><div class="ttdeci">void FF_4096_init(BIG_512_60 *x, sign32 m, int n)</div><div class="ttdoc">Initialize an FF element of given length from a 32-bit integer m. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a94147045c8870761893c8be1ed1ac28f"><div class="ttname"><a href="ff__4096_8h.html#a94147045c8870761893c8be1ed1ac28f">FF_4096_skpow</a></div><div class="ttdeci">void FF_4096_skpow(BIG_512_60 *r, BIG_512_60 *x, BIG_512_60 *e, BIG_512_60 *p, int n, int en)</div><div class="ttdoc">Calculate r=x^e mod p, side channel resistant. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_aa6620d609998d614af0cdbc5bb142fef"><div class="ttname"><a href="ff__4096_8h.html#aa6620d609998d614af0cdbc5bb142fef">FF_4096_copy</a></div><div class="ttdeci">void FF_4096_copy(BIG_512_60 *x, BIG_512_60 *y, int n)</div><div class="ttdoc">Copy one FF element of given length to another. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a24cf9585b1c49a1ac674e0055ad41444"><div class="ttname"><a href="ff__4096_8h.html#a24cf9585b1c49a1ac674e0055ad41444">FF_4096_skspow</a></div><div class="ttdeci">void FF_4096_skspow(BIG_512_60 *r, BIG_512_60 *x, BIG_512_60 e, BIG_512_60 *p, int n)</div><div class="ttdoc">Calculate r=x^e mod p, side channel resistant. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a3dd8e90c99742c0448834110713d0e8b"><div class="ttname"><a href="ff__4096_8h.html#a3dd8e90c99742c0448834110713d0e8b">FF_4096_fromOctet</a></div><div class="ttdeci">void FF_4096_fromOctet(BIG_512_60 *x, octet *S, int n)</div><div class="ttdoc">Populates an FF instance from an octet string. </div></div> |
| <div class="ttc" id="structcsprng_html"><div class="ttname"><a href="structcsprng.html">csprng</a></div><div class="ttdoc">Cryptographically secure pseudo-random number generator instance. </div><div class="ttdef"><b>Definition:</b> amcl.h:195</div></div> |
| <div class="ttc" id="ff__4096_8h_html_a83e69edebd0e5bf47cdcca2ef66448b3"><div class="ttname"><a href="ff__4096_8h.html#a83e69edebd0e5bf47cdcca2ef66448b3">FF_4096_sub</a></div><div class="ttdeci">void FF_4096_sub(BIG_512_60 *x, BIG_512_60 *y, BIG_512_60 *z, int n)</div><div class="ttdoc">subtraction of two FFs </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a612661860d5a10326a7d1d9bd9fc042a"><div class="ttname"><a href="ff__4096_8h.html#a612661860d5a10326a7d1d9bd9fc042a">FF_4096_iszilch</a></div><div class="ttdeci">int FF_4096_iszilch(BIG_512_60 *x, int n)</div><div class="ttdoc">Tests for FF element equal to zero. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_a2538dfeb3784df67640232f892bbec0c"><div class="ttname"><a href="ff__4096_8h.html#a2538dfeb3784df67640232f892bbec0c">FF_4096_shr</a></div><div class="ttdeci">void FF_4096_shr(BIG_512_60 *x, int n)</div><div class="ttdoc">Shift right an FF by 1 bit. </div></div> |
| <div class="ttc" id="ff__4096_8h_html_affe535d1298125ecf39b6b19d3d5339c"><div class="ttname"><a href="ff__4096_8h.html#affe535d1298125ecf39b6b19d3d5339c">FF_4096_toOctet</a></div><div class="ttdeci">void FF_4096_toOctet(octet *S, BIG_512_60 *x, int n)</div><div class="ttdoc">Formats and outputs an FF instance to an octet string. </div></div> |
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