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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>&#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 FF_4096_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FF_4096_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="big__512__60_8h.html">big_512_60.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="config__ff__4096_8h.html">config_ff_4096.h</a>&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;</div><div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="ff__4096_8h.html#a7f6ddf757543171f82e428ac7d423a11"> 33</a></span>&#160;<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>&#160;<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>&#160;<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>&#160;<span class="preprocessor">#define P_EXCESS_4096(a) (((a[NLEN_512_60-1])&gt;&gt;(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>&#160;<span class="preprocessor">#define P_FEXCESS_4096 ((chunk)1&lt;&lt;(BASEBITS_512_60*NLEN_512_60-P_MBITS_4096-1)) </span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<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>&#160;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a178303ff977c30fc108db4e98723d740">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> *m,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160;<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>&#160;<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>&#160;<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>&#160;<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="l00228"></a><span class="lineno"> 228</span>&#160;<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="l00237"></a><span class="lineno"> 237</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a21e0d681199ce63714be3ed742c164d9">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> *m,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a6412d0214c61c25a6048e75eb76e5116">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> *m,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#ab3592fd9ab13f4f517b076529a0e5f98">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> *m,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ff__4096_8h.html#a1db67329f43de1ad6e2b73d77e48451a">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> *m,<span class="keywordtype">int</span> n);</div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;<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="l00283"></a><span class="lineno"> 283</span>&#160;<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="l00294"></a><span class="lineno"> 294</span>&#160;<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="l00295"></a><span class="lineno"> 295</span>&#160;</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;<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_a1db67329f43de1ad6e2b73d77e48451a"><div class="ttname"><a href="ff__4096_8h.html#a1db67329f43de1ad6e2b73d77e48451a">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 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m.</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_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_a6412d0214c61c25a6048e75eb76e5116"><div class="ttname"><a href="ff__4096_8h.html#a6412d0214c61c25a6048e75eb76e5116">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 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m, side channel resistant.</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_ab3592fd9ab13f4f517b076529a0e5f98"><div class="ttname"><a href="ff__4096_8h.html#ab3592fd9ab13f4f517b076529a0e5f98">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 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m.</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_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_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_a21e0d681199ce63714be3ed742c164d9"><div class="ttname"><a href="ff__4096_8h.html#a21e0d681199ce63714be3ed742c164d9">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 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m, side channel resistant.</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_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_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_a178303ff977c30fc108db4e98723d740"><div class="ttname"><a href="ff__4096_8h.html#a178303ff977c30fc108db4e98723d740">FF_4096_mod</a></div><div class="ttdeci">void FF_4096_mod(BIG_512_60 *x, BIG_512_60 *m, int n)</div><div class="ttdoc">Reduce FF mod a modulus.</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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