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<a href="ff__3072_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_3072_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FF_3072_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__384__56_8h.html">big_384_56.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__3072_8h.html">config_ff_3072.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__3072_8h.html#a991a0cbc301024bc7d87b9acb0ba3848"> 33</a></span>&#160;<span class="preprocessor">#define HFLEN_3072 (FFLEN_3072/2) </span></div><div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="ff__3072_8h.html#a913cc0005462d60030fd74480872b842"> 34</a></span>&#160;<span class="preprocessor">#define P_MBITS_3072 (MODBYTES_384_56*8) </span></div><div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="ff__3072_8h.html#abc64851d800e9346f5cb224ed5993102"> 35</a></span>&#160;<span class="preprocessor">#define P_TBITS_3072 (P_MBITS_3072%BASEBITS_384_56) </span></div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="ff__3072_8h.html#a4b6a94575f3a30ec24ee3082ba370da2"> 36</a></span>&#160;<span class="preprocessor">#define P_EXCESS_3072(a) (((a[NLEN_384_56-1])&gt;&gt;(P_TBITS_3072))+1) </span></div><div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="ff__3072_8h.html#a6adb5cd667354c85a5dfb6b2283538d1"> 37</a></span>&#160;<span class="preprocessor">#define P_FEXCESS_3072 ((chunk)1&lt;&lt;(BASEBITS_384_56*NLEN_384_56-P_MBITS_3072-1)) </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__3072_8h.html#a5710e195634f96bda5ae8a3b49d107b1">FF_3072_copy</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#ab1e8b486337df148dc80bd1d965fbd88">FF_3072_init</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a381f4e545dc7f1a358c4937ec8db4cd2">FF_3072_zero</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a23ea956e002fe10e959129bbff836a88">FF_3072_iszilch</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a134652d691699256b947e50877b61cf9">FF_3072_parity</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a231037055f11264bf1f18f878dd6f7d5">FF_3072_lastbits</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#aeab149437c42eba4a31601170db373e4">FF_3072_one</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#aeb6d92db5f6702a1661f91c64589a00c">FF_3072_comp</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#ad76acb0cb07c1278b342b99d4e46ed9a">FF_3072_add</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *y,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a90a27832117acd51620f205cd0a7fd66">FF_3072_sub</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *y,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a6dc03139ccfabea9f051a2dffb2b23ec">FF_3072_inc</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a0b01ae2dd1452ad556d0fc7852e48bab">FF_3072_dec</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#adbfb492cd0974a31a764877f4e29e902">FF_3072_norm</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a0f260e780e072e4a9a04b711890ffc97">FF_3072_shl</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#aa1b20ede5ea8085fc5b09400d4f77a0b">FF_3072_shr</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#af20dedd4fc082097038482e3dfda6c32">FF_3072_output</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a59b49a04db64211550a0cd8b81b1a286">FF_3072_rawoutput</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a072ac1dfb719d6cb4ade9bb45e7da60f">FF_3072_toOctet</a>(<a class="code" href="structoctet.html">octet</a> *S,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a99e5ad673622637c7cabdf014b9eb23d">FF_3072_fromOctet</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#aa15d79eee17b711e569fb6817963c170">FF_3072_mul</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *y,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#af06a6739f1c0bb51f0cd9781b8ef1792">FF_3072_mod</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a9e50c11b86dcc4089140221500e2ca30">FF_3072_sqr</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a7cc5b1e476a2ec468fe2534cf64b3b70">FF_3072_dmod</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *y,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#aae7ce5e4cea593280c782a135cef009d">FF_3072_invmodp</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *y,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a3279d3d0fe944c9e1d22ab30e23cb4a7">FF_3072_random</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#ac9d98be58c136ad84be65ccc1d537c5f">FF_3072_randomnum</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a1998c3c4c38a3f46997b1243b53b4481">FF_3072_skpow</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *r,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> * e,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a381608fd407d688c2387f8597916f3ac">FF_3072_skspow</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *r,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> e,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#af854663f5413b0a941c83fe19a06d506">FF_3072_power</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *r,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<span class="keywordtype">int</span> e,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#a6b7a3bbd385227b9c4292babb0ab6469">FF_3072_pow</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *r,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *e,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#af9ca6a2a8e19d16a0e3e5d7ff4161788">FF_3072_cfactor</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#abe0d54929a593c54b7bc4c76509f2dfb">FF_3072_prime</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h.html#aeb905b3272822708c9886676f3a3befd">FF_3072_pow2</a>(<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *r,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *x,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> e,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> *y,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a> f,<a class="code" href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</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__3072_8h_html_a99e5ad673622637c7cabdf014b9eb23d"><div class="ttname"><a href="ff__3072_8h.html#a99e5ad673622637c7cabdf014b9eb23d">FF_3072_fromOctet</a></div><div class="ttdeci">void FF_3072_fromOctet(BIG_384_56 *x, octet *S, int n)</div><div class="ttdoc">Populates an FF instance from an octet string.</div></div>
<div class="ttc" id="ff__3072_8h_html_a7cc5b1e476a2ec468fe2534cf64b3b70"><div class="ttname"><a href="ff__3072_8h.html#a7cc5b1e476a2ec468fe2534cf64b3b70">FF_3072_dmod</a></div><div class="ttdeci">void FF_3072_dmod(BIG_384_56 *x, BIG_384_56 *y, BIG_384_56 *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__3072_8h_html_aeb6d92db5f6702a1661f91c64589a00c"><div class="ttname"><a href="ff__3072_8h.html#aeb6d92db5f6702a1661f91c64589a00c">FF_3072_comp</a></div><div class="ttdeci">int FF_3072_comp(BIG_384_56 *x, BIG_384_56 *y, int n)</div><div class="ttdoc">Compares two FF numbers. Inputs must be normalised externally.</div></div>
<div class="ttc" id="ff__3072_8h_html_aa15d79eee17b711e569fb6817963c170"><div class="ttname"><a href="ff__3072_8h.html#aa15d79eee17b711e569fb6817963c170">FF_3072_mul</a></div><div class="ttdeci">void FF_3072_mul(BIG_384_56 *x, BIG_384_56 *y, BIG_384_56 *z, int n)</div><div class="ttdoc">Multiplication of two FFs.</div></div>
<div class="ttc" id="ff__3072_8h_html_a381f4e545dc7f1a358c4937ec8db4cd2"><div class="ttname"><a href="ff__3072_8h.html#a381f4e545dc7f1a358c4937ec8db4cd2">FF_3072_zero</a></div><div class="ttdeci">void FF_3072_zero(BIG_384_56 *x, int n)</div><div class="ttdoc">Set FF element of given size to zero.</div></div>
<div class="ttc" id="ff__3072_8h_html_a5710e195634f96bda5ae8a3b49d107b1"><div class="ttname"><a href="ff__3072_8h.html#a5710e195634f96bda5ae8a3b49d107b1">FF_3072_copy</a></div><div class="ttdeci">void FF_3072_copy(BIG_384_56 *x, BIG_384_56 *y, int n)</div><div class="ttdoc">Copy one FF element of given length to another.</div></div>
<div class="ttc" id="big__384__56_8h_html_a84b175c07377e6d2a06d66603d2e719c"><div class="ttname"><a href="big__384__56_8h.html#a84b175c07377e6d2a06d66603d2e719c">BIG_384_56</a></div><div class="ttdeci">chunk BIG_384_56[NLEN_384_56]</div><div class="ttdef"><b>Definition:</b> big_384_56.h:58</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__3072_8h_html_aae7ce5e4cea593280c782a135cef009d"><div class="ttname"><a href="ff__3072_8h.html#aae7ce5e4cea593280c782a135cef009d">FF_3072_invmodp</a></div><div class="ttdeci">void FF_3072_invmodp(BIG_384_56 *x, BIG_384_56 *y, BIG_384_56 *z, int n)</div><div class="ttdoc">Invert an FF mod a prime modulus.</div></div>
<div class="ttc" id="ff__3072_8h_html_aeb905b3272822708c9886676f3a3befd"><div class="ttname"><a href="ff__3072_8h.html#aeb905b3272822708c9886676f3a3befd">FF_3072_pow2</a></div><div class="ttdeci">void FF_3072_pow2(BIG_384_56 *r, BIG_384_56 *x, BIG_384_56 e, BIG_384_56 *y, BIG_384_56 f, BIG_384_56 *m, int n)</div><div class="ttdoc">Calculate r=x^e.y^f mod m.</div></div>
<div class="ttc" id="ff__3072_8h_html_a3279d3d0fe944c9e1d22ab30e23cb4a7"><div class="ttname"><a href="ff__3072_8h.html#a3279d3d0fe944c9e1d22ab30e23cb4a7">FF_3072_random</a></div><div class="ttdeci">void FF_3072_random(BIG_384_56 *x, csprng *R, int n)</div><div class="ttdoc">Create an FF from a random number generator.</div></div>
<div class="ttc" id="ff__3072_8h_html_a9e50c11b86dcc4089140221500e2ca30"><div class="ttname"><a href="ff__3072_8h.html#a9e50c11b86dcc4089140221500e2ca30">FF_3072_sqr</a></div><div class="ttdeci">void FF_3072_sqr(BIG_384_56 *x, BIG_384_56 *y, int n)</div><div class="ttdoc">Square an FF.</div></div>
<div class="ttc" id="ff__3072_8h_html_a0f260e780e072e4a9a04b711890ffc97"><div class="ttname"><a href="ff__3072_8h.html#a0f260e780e072e4a9a04b711890ffc97">FF_3072_shl</a></div><div class="ttdeci">void FF_3072_shl(BIG_384_56 *x, int n)</div><div class="ttdoc">Shift left an FF by 1 bit.</div></div>
<div class="ttc" id="ff__3072_8h_html_ab1e8b486337df148dc80bd1d965fbd88"><div class="ttname"><a href="ff__3072_8h.html#ab1e8b486337df148dc80bd1d965fbd88">FF_3072_init</a></div><div class="ttdeci">void FF_3072_init(BIG_384_56 *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__3072_8h_html_aeab149437c42eba4a31601170db373e4"><div class="ttname"><a href="ff__3072_8h.html#aeab149437c42eba4a31601170db373e4">FF_3072_one</a></div><div class="ttdeci">void FF_3072_one(BIG_384_56 *x, int n)</div><div class="ttdoc">Set FF element of given size to unity.</div></div>
<div class="ttc" id="ff__3072_8h_html_a134652d691699256b947e50877b61cf9"><div class="ttname"><a href="ff__3072_8h.html#a134652d691699256b947e50877b61cf9">FF_3072_parity</a></div><div class="ttdeci">int FF_3072_parity(BIG_384_56 *x)</div><div class="ttdoc">return parity of an FF, that is the least significant bit</div></div>
<div class="ttc" id="ff__3072_8h_html_a1998c3c4c38a3f46997b1243b53b4481"><div class="ttname"><a href="ff__3072_8h.html#a1998c3c4c38a3f46997b1243b53b4481">FF_3072_skpow</a></div><div class="ttdeci">void FF_3072_skpow(BIG_384_56 *r, BIG_384_56 *x, BIG_384_56 *e, BIG_384_56 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m, side channel resistant.</div></div>
<div class="ttc" id="ff__3072_8h_html_af854663f5413b0a941c83fe19a06d506"><div class="ttname"><a href="ff__3072_8h.html#af854663f5413b0a941c83fe19a06d506">FF_3072_power</a></div><div class="ttdeci">void FF_3072_power(BIG_384_56 *r, BIG_384_56 *x, int e, BIG_384_56 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m.</div></div>
<div class="ttc" id="big__384__56_8h_html"><div class="ttname"><a href="big__384__56_8h.html">big_384_56.h</a></div><div class="ttdoc">BIG Header File.</div></div>
<div class="ttc" id="ff__3072_8h_html_aa1b20ede5ea8085fc5b09400d4f77a0b"><div class="ttname"><a href="ff__3072_8h.html#aa1b20ede5ea8085fc5b09400d4f77a0b">FF_3072_shr</a></div><div class="ttdeci">void FF_3072_shr(BIG_384_56 *x, int n)</div><div class="ttdoc">Shift right an FF by 1 bit.</div></div>
<div class="ttc" id="ff__3072_8h_html_af06a6739f1c0bb51f0cd9781b8ef1792"><div class="ttname"><a href="ff__3072_8h.html#af06a6739f1c0bb51f0cd9781b8ef1792">FF_3072_mod</a></div><div class="ttdeci">void FF_3072_mod(BIG_384_56 *x, BIG_384_56 *m, int n)</div><div class="ttdoc">Reduce FF mod a modulus.</div></div>
<div class="ttc" id="ff__3072_8h_html_ac9d98be58c136ad84be65ccc1d537c5f"><div class="ttname"><a href="ff__3072_8h.html#ac9d98be58c136ad84be65ccc1d537c5f">FF_3072_randomnum</a></div><div class="ttdeci">void FF_3072_randomnum(BIG_384_56 *x, BIG_384_56 *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__3072_8h_html_af20dedd4fc082097038482e3dfda6c32"><div class="ttname"><a href="ff__3072_8h.html#af20dedd4fc082097038482e3dfda6c32">FF_3072_output</a></div><div class="ttdeci">void FF_3072_output(BIG_384_56 *x, int n)</div><div class="ttdoc">Formats and outputs an FF to the console.</div></div>
<div class="ttc" id="ff__3072_8h_html_a0b01ae2dd1452ad556d0fc7852e48bab"><div class="ttname"><a href="ff__3072_8h.html#a0b01ae2dd1452ad556d0fc7852e48bab">FF_3072_dec</a></div><div class="ttdeci">void FF_3072_dec(BIG_384_56 *x, int m, int n)</div><div class="ttdoc">Decrement an FF by an integer,and normalise.</div></div>
<div class="ttc" id="ff__3072_8h_html_a23ea956e002fe10e959129bbff836a88"><div class="ttname"><a href="ff__3072_8h.html#a23ea956e002fe10e959129bbff836a88">FF_3072_iszilch</a></div><div class="ttdeci">int FF_3072_iszilch(BIG_384_56 *x, int n)</div><div class="ttdoc">Tests for FF element equal to zero.</div></div>
<div class="ttc" id="config__ff__3072_8h_html"><div class="ttname"><a href="config__ff__3072_8h.html">config_ff_3072.h</a></div><div class="ttdoc">COnfig FF Header File.</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__3072_8h_html_af9ca6a2a8e19d16a0e3e5d7ff4161788"><div class="ttname"><a href="ff__3072_8h.html#af9ca6a2a8e19d16a0e3e5d7ff4161788">FF_3072_cfactor</a></div><div class="ttdeci">int FF_3072_cfactor(BIG_384_56 *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__3072_8h_html_a072ac1dfb719d6cb4ade9bb45e7da60f"><div class="ttname"><a href="ff__3072_8h.html#a072ac1dfb719d6cb4ade9bb45e7da60f">FF_3072_toOctet</a></div><div class="ttdeci">void FF_3072_toOctet(octet *S, BIG_384_56 *x, int n)</div><div class="ttdoc">Formats and outputs an FF instance to an octet string.</div></div>
<div class="ttc" id="ff__3072_8h_html_a90a27832117acd51620f205cd0a7fd66"><div class="ttname"><a href="ff__3072_8h.html#a90a27832117acd51620f205cd0a7fd66">FF_3072_sub</a></div><div class="ttdeci">void FF_3072_sub(BIG_384_56 *x, BIG_384_56 *y, BIG_384_56 *z, int n)</div><div class="ttdoc">subtraction of two FFs</div></div>
<div class="ttc" id="ff__3072_8h_html_a381608fd407d688c2387f8597916f3ac"><div class="ttname"><a href="ff__3072_8h.html#a381608fd407d688c2387f8597916f3ac">FF_3072_skspow</a></div><div class="ttdeci">void FF_3072_skspow(BIG_384_56 *r, BIG_384_56 *x, BIG_384_56 e, BIG_384_56 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m, side channel resistant.</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__3072_8h_html_ad76acb0cb07c1278b342b99d4e46ed9a"><div class="ttname"><a href="ff__3072_8h.html#ad76acb0cb07c1278b342b99d4e46ed9a">FF_3072_add</a></div><div class="ttdeci">void FF_3072_add(BIG_384_56 *x, BIG_384_56 *y, BIG_384_56 *z, int n)</div><div class="ttdoc">addition of two FFs</div></div>
<div class="ttc" id="ff__3072_8h_html_abe0d54929a593c54b7bc4c76509f2dfb"><div class="ttname"><a href="ff__3072_8h.html#abe0d54929a593c54b7bc4c76509f2dfb">FF_3072_prime</a></div><div class="ttdeci">int FF_3072_prime(BIG_384_56 *x, csprng *R, int n)</div><div class="ttdoc">Test if an FF is prime.</div></div>
<div class="ttc" id="ff__3072_8h_html_adbfb492cd0974a31a764877f4e29e902"><div class="ttname"><a href="ff__3072_8h.html#adbfb492cd0974a31a764877f4e29e902">FF_3072_norm</a></div><div class="ttdeci">void FF_3072_norm(BIG_384_56 *x, int n)</div><div class="ttdoc">Normalises the components of an FF.</div></div>
<div class="ttc" id="ff__3072_8h_html_a6b7a3bbd385227b9c4292babb0ab6469"><div class="ttname"><a href="ff__3072_8h.html#a6b7a3bbd385227b9c4292babb0ab6469">FF_3072_pow</a></div><div class="ttdeci">void FF_3072_pow(BIG_384_56 *r, BIG_384_56 *x, BIG_384_56 *e, BIG_384_56 *m, int n)</div><div class="ttdoc">Calculate r=x^e mod m.</div></div>
<div class="ttc" id="ff__3072_8h_html_a231037055f11264bf1f18f878dd6f7d5"><div class="ttname"><a href="ff__3072_8h.html#a231037055f11264bf1f18f878dd6f7d5">FF_3072_lastbits</a></div><div class="ttdeci">int FF_3072_lastbits(BIG_384_56 *x, int m)</div><div class="ttdoc">return least significant m bits of an FF</div></div>
<div class="ttc" id="ff__3072_8h_html_a59b49a04db64211550a0cd8b81b1a286"><div class="ttname"><a href="ff__3072_8h.html#a59b49a04db64211550a0cd8b81b1a286">FF_3072_rawoutput</a></div><div class="ttdeci">void FF_3072_rawoutput(BIG_384_56 *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__3072_8h_html_a6dc03139ccfabea9f051a2dffb2b23ec"><div class="ttname"><a href="ff__3072_8h.html#a6dc03139ccfabea9f051a2dffb2b23ec">FF_3072_inc</a></div><div class="ttdeci">void FF_3072_inc(BIG_384_56 *x, int m, int n)</div><div class="ttdoc">increment an FF by an integer,and normalise</div></div>
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