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<a href="ff__2048_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_2048_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FF_2048_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__1024__58_8h.html">big_1024_58.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__2048_8h.html">config_ff_2048.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__2048_8h.html#a227e21d0b00faf73e541ec680ea433cc"> 33</a></span>&#160;<span class="preprocessor">#define HFLEN_2048 (FFLEN_2048/2) </span></div><div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="ff__2048_8h.html#ad1dbd4d4757d964e79ba37b306d7e55c"> 34</a></span>&#160;<span class="preprocessor">#define P_MBITS_2048 (MODBYTES_1024_58*8) </span></div><div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="ff__2048_8h.html#a40c3a14228a7e89dae27ebad9d92953b"> 35</a></span>&#160;<span class="preprocessor">#define P_TBITS_2048 (P_MBITS_2048%BASEBITS_1024_58) </span></div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="ff__2048_8h.html#a48cd404e88e86911f940a7f7f1048db6"> 36</a></span>&#160;<span class="preprocessor">#define P_EXCESS_2048(a) (((a[NLEN_1024_58-1])&gt;&gt;(P_TBITS_2048))+1) </span></div><div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="ff__2048_8h.html#acccacd653e03a0ab4188413033799714"> 37</a></span>&#160;<span class="preprocessor">#define P_FEXCESS_2048 ((chunk)1&lt;&lt;(BASEBITS_1024_58*NLEN_1024_58-P_MBITS_2048-1)) </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__2048_8h.html#a100f16a442d30fae06c81b5071fbc9e6">FF_2048_copy</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#acc12c9e475768bc1a9960aa51903ffd3">FF_2048_init</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a9a3486518d9dcf2ef743a6dd2aa56336">FF_2048_zero</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#ab79fd4f6686b2fe714c3d33f20f4c48a">FF_2048_iszilch</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a0445b77f49dbfb68babf95a6cd2ecbea">FF_2048_parity</a>(<a class="code" 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class="keywordtype">int</span> <a class="code" href="ff__2048_8h.html#a7375ad720811c0f9678492ea4da08549">FF_2048_comp</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a99bc0c23aa9bf3a1d8356cd1dcd838e1">FF_2048_add</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *y,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#aebafa634bb7c45532f0cc30b005fece7">FF_2048_sub</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *y,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a45a6fb55cb8695885e92427b95d93b0f">FF_2048_inc</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a08c90508ecc6c2229143ec0de481888f">FF_2048_dec</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a84c276a9cb2fb6b8c88677c8a5241174">FF_2048_norm</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a175d8db0f1789c940961189bb00dc009">FF_2048_shl</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a85f56b1a48a3867295e4af39275ca836">FF_2048_shr</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a8011729411cf198d0a19a0a1ffa17ae1">FF_2048_output</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a0fa3a98953b3f941c4a1d77811c663da">FF_2048_rawoutput</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a7cea17d94848af54dc71659f4aa78121">FF_2048_toOctet</a>(<a class="code" href="structoctet.html">octet</a> *S,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#acf36351fa465903335db78c4d1539fc6">FF_2048_fromOctet</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#ac5970b0360b38a0c3bde877abac7fe90">FF_2048_mul</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *y,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a7ed651a772be1e7c644d4153e67574f3">FF_2048_mod</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a2ba04edfe1eb1b4e925598bebf135b8f">FF_2048_sqr</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a8b287a310c335b1e3a8693381d112eaf">FF_2048_dmod</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *y,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#aa4e3c92baa3179198a3cdefc5b61eac9">FF_2048_invmodp</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *y,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#abda74d9b71138e17a7fbe7086426c3e7">FF_2048_random</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a7cfdc4c363575059d802b91713b03737">FF_2048_randomnum</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a2789a44182bc8d1fb91fd048a23361b9">FF_2048_skpow</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *r,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> * e,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#acadc23a6f6c053b971d7afaf121d7196">FF_2048_skspow</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *r,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> e,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a8b87d4ad585cbfaaeadca3d586ffb05a">FF_2048_power</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *r,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<span class="keywordtype">int</span> e,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a7764e294274140465a4676717677f6b6">FF_2048_pow</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *r,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *e,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a261bad7b5b39fd6eb3d98e3c9ae292de">FF_2048_cfactor</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#a9ede4163e174ca5564b724d5d50c3242">FF_2048_prime</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h.html#ace63d2e10c65cb9446e496d4355bf3be">FF_2048_pow2</a>(<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *r,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *x,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> e,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> *y,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a> f,<a class="code" href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</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__2048_8h_html_acc12c9e475768bc1a9960aa51903ffd3"><div class="ttname"><a href="ff__2048_8h.html#acc12c9e475768bc1a9960aa51903ffd3">FF_2048_init</a></div><div class="ttdeci">void FF_2048_init(BIG_1024_58 *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__2048_8h_html_aebafa634bb7c45532f0cc30b005fece7"><div class="ttname"><a href="ff__2048_8h.html#aebafa634bb7c45532f0cc30b005fece7">FF_2048_sub</a></div><div class="ttdeci">void FF_2048_sub(BIG_1024_58 *x, BIG_1024_58 *y, BIG_1024_58 *z, int n)</div><div class="ttdoc">subtraction of two FFs</div></div>
<div class="ttc" id="ff__2048_8h_html_a100f16a442d30fae06c81b5071fbc9e6"><div class="ttname"><a href="ff__2048_8h.html#a100f16a442d30fae06c81b5071fbc9e6">FF_2048_copy</a></div><div class="ttdeci">void FF_2048_copy(BIG_1024_58 *x, BIG_1024_58 *y, int n)</div><div class="ttdoc">Copy one FF element of given length to another.</div></div>
<div class="ttc" id="ff__2048_8h_html_acadc23a6f6c053b971d7afaf121d7196"><div class="ttname"><a href="ff__2048_8h.html#acadc23a6f6c053b971d7afaf121d7196">FF_2048_skspow</a></div><div class="ttdeci">void FF_2048_skspow(BIG_1024_58 *r, BIG_1024_58 *x, BIG_1024_58 e, BIG_1024_58 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m, side channel resistant.</div></div>
<div class="ttc" id="ff__2048_8h_html_a99bc0c23aa9bf3a1d8356cd1dcd838e1"><div class="ttname"><a href="ff__2048_8h.html#a99bc0c23aa9bf3a1d8356cd1dcd838e1">FF_2048_add</a></div><div class="ttdeci">void FF_2048_add(BIG_1024_58 *x, BIG_1024_58 *y, BIG_1024_58 *z, int n)</div><div class="ttdoc">addition of two FFs</div></div>
<div class="ttc" id="ff__2048_8h_html_a175d8db0f1789c940961189bb00dc009"><div class="ttname"><a href="ff__2048_8h.html#a175d8db0f1789c940961189bb00dc009">FF_2048_shl</a></div><div class="ttdeci">void FF_2048_shl(BIG_1024_58 *x, int n)</div><div class="ttdoc">Shift left an FF by 1 bit.</div></div>
<div class="ttc" id="ff__2048_8h_html_aa4e3c92baa3179198a3cdefc5b61eac9"><div class="ttname"><a href="ff__2048_8h.html#aa4e3c92baa3179198a3cdefc5b61eac9">FF_2048_invmodp</a></div><div class="ttdeci">void FF_2048_invmodp(BIG_1024_58 *x, BIG_1024_58 *y, BIG_1024_58 *z, int n)</div><div class="ttdoc">Invert an FF mod a prime modulus.</div></div>
<div class="ttc" id="ff__2048_8h_html_a7375ad720811c0f9678492ea4da08549"><div class="ttname"><a href="ff__2048_8h.html#a7375ad720811c0f9678492ea4da08549">FF_2048_comp</a></div><div class="ttdeci">int FF_2048_comp(BIG_1024_58 *x, BIG_1024_58 *y, int n)</div><div class="ttdoc">Compares two FF numbers. Inputs must be normalised externally.</div></div>
<div class="ttc" id="config__ff__2048_8h_html"><div class="ttname"><a href="config__ff__2048_8h.html">config_ff_2048.h</a></div><div class="ttdoc">COnfig FF Header File.</div></div>
<div class="ttc" id="ff__2048_8h_html_a7764e294274140465a4676717677f6b6"><div class="ttname"><a href="ff__2048_8h.html#a7764e294274140465a4676717677f6b6">FF_2048_pow</a></div><div class="ttdeci">void FF_2048_pow(BIG_1024_58 *r, BIG_1024_58 *x, BIG_1024_58 *e, BIG_1024_58 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m.</div></div>
<div class="ttc" id="ff__2048_8h_html_a9a3486518d9dcf2ef743a6dd2aa56336"><div class="ttname"><a href="ff__2048_8h.html#a9a3486518d9dcf2ef743a6dd2aa56336">FF_2048_zero</a></div><div class="ttdeci">void FF_2048_zero(BIG_1024_58 *x, int n)</div><div class="ttdoc">Set FF element of given size to zero.</div></div>
<div class="ttc" id="ff__2048_8h_html_a84c276a9cb2fb6b8c88677c8a5241174"><div class="ttname"><a href="ff__2048_8h.html#a84c276a9cb2fb6b8c88677c8a5241174">FF_2048_norm</a></div><div class="ttdeci">void FF_2048_norm(BIG_1024_58 *x, int n)</div><div class="ttdoc">Normalises the components of an FF.</div></div>
<div class="ttc" id="ff__2048_8h_html_a08c90508ecc6c2229143ec0de481888f"><div class="ttname"><a href="ff__2048_8h.html#a08c90508ecc6c2229143ec0de481888f">FF_2048_dec</a></div><div class="ttdeci">void FF_2048_dec(BIG_1024_58 *x, int m, int n)</div><div class="ttdoc">Decrement an FF by an integer,and normalise.</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__2048_8h_html_ab79fd4f6686b2fe714c3d33f20f4c48a"><div class="ttname"><a href="ff__2048_8h.html#ab79fd4f6686b2fe714c3d33f20f4c48a">FF_2048_iszilch</a></div><div class="ttdeci">int FF_2048_iszilch(BIG_1024_58 *x, int n)</div><div class="ttdoc">Tests for FF element equal to zero.</div></div>
<div class="ttc" id="ff__2048_8h_html_a7cea17d94848af54dc71659f4aa78121"><div class="ttname"><a href="ff__2048_8h.html#a7cea17d94848af54dc71659f4aa78121">FF_2048_toOctet</a></div><div class="ttdeci">void FF_2048_toOctet(octet *S, BIG_1024_58 *x, int n)</div><div class="ttdoc">Formats and outputs an FF instance to an octet string.</div></div>
<div class="ttc" id="ff__2048_8h_html_a8011729411cf198d0a19a0a1ffa17ae1"><div class="ttname"><a href="ff__2048_8h.html#a8011729411cf198d0a19a0a1ffa17ae1">FF_2048_output</a></div><div class="ttdeci">void FF_2048_output(BIG_1024_58 *x, int n)</div><div class="ttdoc">Formats and outputs an FF to the console.</div></div>
<div class="ttc" id="ff__2048_8h_html_a0fa3a98953b3f941c4a1d77811c663da"><div class="ttname"><a href="ff__2048_8h.html#a0fa3a98953b3f941c4a1d77811c663da">FF_2048_rawoutput</a></div><div class="ttdeci">void FF_2048_rawoutput(BIG_1024_58 *x, int n)</div><div class="ttdoc">Formats and outputs an FF to the console, in raw form.</div></div>
<div class="ttc" id="ff__2048_8h_html_abda74d9b71138e17a7fbe7086426c3e7"><div class="ttname"><a href="ff__2048_8h.html#abda74d9b71138e17a7fbe7086426c3e7">FF_2048_random</a></div><div class="ttdeci">void FF_2048_random(BIG_1024_58 *x, csprng *R, int n)</div><div class="ttdoc">Create an FF from a random number generator.</div></div>
<div class="ttc" id="ff__2048_8h_html_a8b87d4ad585cbfaaeadca3d586ffb05a"><div class="ttname"><a href="ff__2048_8h.html#a8b87d4ad585cbfaaeadca3d586ffb05a">FF_2048_power</a></div><div class="ttdeci">void FF_2048_power(BIG_1024_58 *r, BIG_1024_58 *x, int e, BIG_1024_58 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m.</div></div>
<div class="ttc" id="ff__2048_8h_html_a261bad7b5b39fd6eb3d98e3c9ae292de"><div class="ttname"><a href="ff__2048_8h.html#a261bad7b5b39fd6eb3d98e3c9ae292de">FF_2048_cfactor</a></div><div class="ttdeci">int FF_2048_cfactor(BIG_1024_58 *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__2048_8h_html_a0445b77f49dbfb68babf95a6cd2ecbea"><div class="ttname"><a href="ff__2048_8h.html#a0445b77f49dbfb68babf95a6cd2ecbea">FF_2048_parity</a></div><div class="ttdeci">int FF_2048_parity(BIG_1024_58 *x)</div><div class="ttdoc">return parity of an FF, that is the least significant bit</div></div>
<div class="ttc" id="ff__2048_8h_html_a8b287a310c335b1e3a8693381d112eaf"><div class="ttname"><a href="ff__2048_8h.html#a8b287a310c335b1e3a8693381d112eaf">FF_2048_dmod</a></div><div class="ttdeci">void FF_2048_dmod(BIG_1024_58 *x, BIG_1024_58 *y, BIG_1024_58 *z, int n)</div><div class="ttdoc">Reduces a double-length FF with respect to a given modulus.</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="big__1024__58_8h_html"><div class="ttname"><a href="big__1024__58_8h.html">big_1024_58.h</a></div><div class="ttdoc">BIG Header File.</div></div>
<div class="ttc" id="ff__2048_8h_html_ace63d2e10c65cb9446e496d4355bf3be"><div class="ttname"><a href="ff__2048_8h.html#ace63d2e10c65cb9446e496d4355bf3be">FF_2048_pow2</a></div><div class="ttdeci">void FF_2048_pow2(BIG_1024_58 *r, BIG_1024_58 *x, BIG_1024_58 e, BIG_1024_58 *y, BIG_1024_58 f, BIG_1024_58 *m, int n)</div><div class="ttdoc">Calculate r=x^e.y^f mod m.</div></div>
<div class="ttc" id="ff__2048_8h_html_ac5970b0360b38a0c3bde877abac7fe90"><div class="ttname"><a href="ff__2048_8h.html#ac5970b0360b38a0c3bde877abac7fe90">FF_2048_mul</a></div><div class="ttdeci">void FF_2048_mul(BIG_1024_58 *x, BIG_1024_58 *y, BIG_1024_58 *z, int n)</div><div class="ttdoc">Multiplication of two FFs.</div></div>
<div class="ttc" id="ff__2048_8h_html_a2789a44182bc8d1fb91fd048a23361b9"><div class="ttname"><a href="ff__2048_8h.html#a2789a44182bc8d1fb91fd048a23361b9">FF_2048_skpow</a></div><div class="ttdeci">void FF_2048_skpow(BIG_1024_58 *r, BIG_1024_58 *x, BIG_1024_58 *e, BIG_1024_58 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m, side channel resistant.</div></div>
<div class="ttc" id="ff__2048_8h_html_a7cfdc4c363575059d802b91713b03737"><div class="ttname"><a href="ff__2048_8h.html#a7cfdc4c363575059d802b91713b03737">FF_2048_randomnum</a></div><div class="ttdeci">void FF_2048_randomnum(BIG_1024_58 *x, BIG_1024_58 *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__2048_8h_html_af59e05d4afd7575e07300199a60a1484"><div class="ttname"><a href="ff__2048_8h.html#af59e05d4afd7575e07300199a60a1484">FF_2048_one</a></div><div class="ttdeci">void FF_2048_one(BIG_1024_58 *x, int n)</div><div class="ttdoc">Set FF element of given size to unity.</div></div>
<div class="ttc" id="big__1024__58_8h_html_a9b2910ed8e28bc385736f45a3d668691"><div class="ttname"><a href="big__1024__58_8h.html#a9b2910ed8e28bc385736f45a3d668691">BIG_1024_58</a></div><div class="ttdeci">chunk BIG_1024_58[NLEN_1024_58]</div><div class="ttdef"><b>Definition:</b> big_1024_58.h:58</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__2048_8h_html_a5e75fed78290b43d0b440031b12ebf89"><div class="ttname"><a href="ff__2048_8h.html#a5e75fed78290b43d0b440031b12ebf89">FF_2048_lastbits</a></div><div class="ttdeci">int FF_2048_lastbits(BIG_1024_58 *x, int m)</div><div class="ttdoc">return least significant m bits of an FF</div></div>
<div class="ttc" id="ff__2048_8h_html_a9ede4163e174ca5564b724d5d50c3242"><div class="ttname"><a href="ff__2048_8h.html#a9ede4163e174ca5564b724d5d50c3242">FF_2048_prime</a></div><div class="ttdeci">int FF_2048_prime(BIG_1024_58 *x, csprng *R, int n)</div><div class="ttdoc">Test if an FF is prime.</div></div>
<div class="ttc" id="ff__2048_8h_html_acf36351fa465903335db78c4d1539fc6"><div class="ttname"><a href="ff__2048_8h.html#acf36351fa465903335db78c4d1539fc6">FF_2048_fromOctet</a></div><div class="ttdeci">void FF_2048_fromOctet(BIG_1024_58 *x, octet *S, int n)</div><div class="ttdoc">Populates an FF instance from an octet string.</div></div>
<div class="ttc" id="ff__2048_8h_html_a2ba04edfe1eb1b4e925598bebf135b8f"><div class="ttname"><a href="ff__2048_8h.html#a2ba04edfe1eb1b4e925598bebf135b8f">FF_2048_sqr</a></div><div class="ttdeci">void FF_2048_sqr(BIG_1024_58 *x, BIG_1024_58 *y, int n)</div><div class="ttdoc">Square an FF.</div></div>
<div class="ttc" id="ff__2048_8h_html_a85f56b1a48a3867295e4af39275ca836"><div class="ttname"><a href="ff__2048_8h.html#a85f56b1a48a3867295e4af39275ca836">FF_2048_shr</a></div><div class="ttdeci">void FF_2048_shr(BIG_1024_58 *x, int n)</div><div class="ttdoc">Shift right an FF by 1 bit.</div></div>
<div class="ttc" id="ff__2048_8h_html_a7ed651a772be1e7c644d4153e67574f3"><div class="ttname"><a href="ff__2048_8h.html#a7ed651a772be1e7c644d4153e67574f3">FF_2048_mod</a></div><div class="ttdeci">void FF_2048_mod(BIG_1024_58 *x, BIG_1024_58 *m, int n)</div><div class="ttdoc">Reduce FF mod a modulus.</div></div>
<div class="ttc" id="ff__2048_8h_html_a45a6fb55cb8695885e92427b95d93b0f"><div class="ttname"><a href="ff__2048_8h.html#a45a6fb55cb8695885e92427b95d93b0f">FF_2048_inc</a></div><div class="ttdeci">void FF_2048_inc(BIG_1024_58 *x, int m, int n)</div><div class="ttdoc">increment an FF by an integer,and normalise</div></div>
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