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<a href="fp__512PM_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 FP_512PM_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP_512PM_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__56_8h.html">big_512_56.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;config_field_512PM.h&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"> 33</span>&#160;</div><div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="structFP__512PM.html"> 38</a></span>&#160;<span class="keyword">typedef</span> <span class="keyword">struct</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;{</div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structFP__512PM.html#a0495ad3a6faee8db898eb80b7dc5cdc8"> 40</a></span>&#160; <a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> <a class="code" href="structFP__512PM.html#a0495ad3a6faee8db898eb80b7dc5cdc8">g</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="structFP__512PM.html#a8dc365c346ca97414481df52b653de44"> 41</a></span>&#160; <a class="code" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a> <a class="code" href="structFP__512PM.html#a8dc365c346ca97414481df52b653de44">XES</a>; </div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;} <a class="code" href="structFP__512PM.html">FP_512PM</a>;</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="comment">/* Field Params - see rom.c */</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> <a class="code" href="fp__512PM_8h.html#a5dc6a3221fb0d116be5f4ff01958b559">Modulus_512PM</a>; </div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> <a class="code" href="fp__512PM_8h.html#a883c8eb6036a05f1249f76ddc991f3b9">R2modp_512PM</a>; </div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a> <a class="code" href="fp__512PM_8h.html#a0ba7a6b5fa787844aeef4b31727df9af">MConst_512PM</a>; </div><div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="fp__512PM_8h.html#a46ecf856fcd961b3f81501d22c38c3f2"> 51</a></span>&#160;<span class="preprocessor">#define MODBITS_512PM MBITS_512PM </span></div><div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="fp__512PM_8h.html#a5b7e9c74701c4ee586973da0d3d22916"> 52</a></span>&#160;<span class="preprocessor">#define TBITS_512PM (MBITS_512PM%BASEBITS_512_56) </span></div><div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="fp__512PM_8h.html#a88c9cdf5690322ba66b756c38e8de0de"> 53</a></span>&#160;<span class="preprocessor">#define TMASK_512PM (((chunk)1&lt;&lt;TBITS_512PM)-1) </span></div><div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="fp__512PM_8h.html#a53a5fc5689a588f70728699a4f9adbc3"> 54</a></span>&#160;<span class="preprocessor">#define FEXCESS_512PM (((sign32)1&lt;&lt;MAXXES_512PM)-1) </span></div><div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="fp__512PM_8h.html#a653d51995946cefb3421c5b9eb6d1547"> 55</a></span>&#160;<span class="preprocessor">#define OMASK_512PM (-((chunk)(1)&lt;&lt;TBITS_512PM)) </span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="preprocessor">//#define FUSED_MODMUL</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="comment">//#define DEBUG_REDUCE</span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="comment">/* FP prototypes */</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp__512PM_8h.html#ada33b37287cfcce529e1a70d1a6e71cb">FP_512PM_iszilch</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x);</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#acc75431e8c31cda898a820e79306939e">FP_512PM_zero</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x);</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#ab84fff2498a56cdb217bb5a2dde6ddc0">FP_512PM_copy</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<a class="code" href="structFP__512PM.html">FP_512PM</a> *x);</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a8f1462b68ca539fd272884834cea0d52">FP_512PM_rcopy</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<span class="keyword">const</span> <a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> x);</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp__512PM_8h.html#a22a071592627d535b2a02ad45f8fcc99">FP_512PM_equals</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y);</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a21042e17e48a095870068eaafd8003b6">FP_512PM_cswap</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<span class="keywordtype">int</span> s);</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#ad195ab5fb427285ca65d85ae23361373">FP_512PM_cmove</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<span class="keywordtype">int</span> s);</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a7c7898d7291c90de4207416d36fc473b">FP_512PM_nres</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> x);</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a1704a0cded5919f486685cdd15f178a6">FP_512PM_redc</a>(<a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y);</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a1eda740648315cb9e24d12b872b15215">FP_512PM_one</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x);</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a12c429fd51c2629fadd08f961f5f3106">FP_512PM_mod</a>(<a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> r,<a class="code" href="big__512__56_8h.html#a34d978f8cc3ea578d6f00eaa0329de11">DBIG_512_56</a> d);</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="preprocessor">#ifdef FUSED_MODMUL</span></div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> FP_512PM_modmul(<a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>,<a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>,<a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>);</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a0cc4206a0672409e2055cb9863a57309">FP_512PM_mul</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<a class="code" href="structFP__512PM.html">FP_512PM</a> *z);</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a992dfb0f4f9b2cf7991b509b15fa5d8d">FP_512PM_imul</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<span class="keywordtype">int</span> i);</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#aaecc9fe4c450ff8b1d5876c9edacef94">FP_512PM_sqr</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y);</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#af7315b6321ed8f14d63ea2fb71752a8d">FP_512PM_add</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<a class="code" href="structFP__512PM.html">FP_512PM</a> *z);</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a35c303274b297260ac69d7a7b57046c2">FP_512PM_sub</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<a class="code" href="structFP__512PM.html">FP_512PM</a> *z);</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#abacff10ad10de7cbac745d3389d627ee">FP_512PM_div2</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y);</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a712cbdf6c572a2baef283bca09d9408d">FP_512PM_pow</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y,<a class="code" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> z);</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a4c7a1474696d2238b8e0c6ed32cf3256">FP_512PM_sqrt</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y);</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#aa13531d79f51441dfebedb5bb9009d76">FP_512PM_neg</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y);</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="fp__512PM_8h.html#af2e85d3f3c06b7b9c54e4f2ed0c3f5bc">FP_512PM_output</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x);</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#a2b03d0b46f899bc6a722721fc7b30f56">FP_512PM_rawoutput</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x);</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#ae77c2b9c3ad159cbaedb41eef286a28e">FP_512PM_reduce</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x);</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="fp__512PM_8h.html#ad2df7998417beb41fecacb009e3c588c">FP_512PM_norm</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x);</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp__512PM_8h.html#a0783222efa08c0d6cc96a36e245a6c3f">FP_512PM_qr</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x);</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp__512PM_8h.html#ad8b81dda2bf24304f5761ec394c40dc3">FP_512PM_inv</a>(<a class="code" href="structFP__512PM.html">FP_512PM</a> *x,<a class="code" href="structFP__512PM.html">FP_512PM</a> *y);</div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160;</div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="fp__512PM_8h_html_abacff10ad10de7cbac745d3389d627ee"><div class="ttname"><a href="fp__512PM_8h.html#abacff10ad10de7cbac745d3389d627ee">FP_512PM_div2</a></div><div class="ttdeci">void FP_512PM_div2(FP_512PM *x, FP_512PM *y)</div><div class="ttdoc">Modular division by 2 of an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:515</div></div>
<div class="ttc" id="fp__512PM_8h_html_a35c303274b297260ac69d7a7b57046c2"><div class="ttname"><a href="fp__512PM_8h.html#a35c303274b297260ac69d7a7b57046c2">FP_512PM_sub</a></div><div class="ttdeci">void FP_512PM_sub(FP_512PM *x, FP_512PM *y, FP_512PM *z)</div><div class="ttdoc">Modular subtraction of two FPs, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:400</div></div>
<div class="ttc" id="fp__512PM_8h_html_a1eda740648315cb9e24d12b872b15215"><div class="ttname"><a href="fp__512PM_8h.html#a1eda740648315cb9e24d12b872b15215">FP_512PM_one</a></div><div class="ttdeci">void FP_512PM_one(FP_512PM *x)</div><div class="ttdoc">Sets FP to representation of unity in residue form.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:723</div></div>
<div class="ttc" id="fp__512PM_8h_html_af2e85d3f3c06b7b9c54e4f2ed0c3f5bc"><div class="ttname"><a href="fp__512PM_8h.html#af2e85d3f3c06b7b9c54e4f2ed0c3f5bc">FP_512PM_output</a></div><div class="ttdeci">void FP_512PM_output(FP_512PM *x)</div><div class="ttdoc">Outputs an FP number to the console.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:270</div></div>
<div class="ttc" id="big__512__56_8h_html_ab11601a54bdce84587a8c0667fbd0e9c"><div class="ttname"><a href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a></div><div class="ttdeci">chunk BIG_512_56[NLEN_512_56]</div><div class="ttdef"><b>Definition:</b> big_512_56.h:58</div></div>
<div class="ttc" id="structFP__512PM_html_a0495ad3a6faee8db898eb80b7dc5cdc8"><div class="ttname"><a href="structFP__512PM.html#a0495ad3a6faee8db898eb80b7dc5cdc8">FP_512PM::g</a></div><div class="ttdeci">BIG_512_56 g</div><div class="ttdef"><b>Definition:</b> fp_512PM.h:40</div></div>
<div class="ttc" id="fp__512PM_8h_html_ad195ab5fb427285ca65d85ae23361373"><div class="ttname"><a href="fp__512PM_8h.html#ad195ab5fb427285ca65d85ae23361373">FP_512PM_cmove</a></div><div class="ttdeci">void FP_512PM_cmove(FP_512PM *x, FP_512PM *y, int s)</div><div class="ttdoc">Conditional copy of FP number.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:243</div></div>
<div class="ttc" id="fp__512PM_8h_html_a0783222efa08c0d6cc96a36e245a6c3f"><div class="ttname"><a href="fp__512PM_8h.html#a0783222efa08c0d6cc96a36e245a6c3f">FP_512PM_qr</a></div><div class="ttdeci">int FP_512PM_qr(FP_512PM *x)</div><div class="ttdoc">Tests for FP a quadratic residue mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:731</div></div>
<div class="ttc" id="fp__512PM_8h_html_ad8b81dda2bf24304f5761ec394c40dc3"><div class="ttname"><a href="fp__512PM_8h.html#ad8b81dda2bf24304f5761ec394c40dc3">FP_512PM_inv</a></div><div class="ttdeci">void FP_512PM_inv(FP_512PM *x, FP_512PM *y)</div><div class="ttdoc">Modular inverse of a an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:648</div></div>
<div class="ttc" id="fp__512PM_8h_html_af7315b6321ed8f14d63ea2fb71752a8d"><div class="ttname"><a href="fp__512PM_8h.html#af7315b6321ed8f14d63ea2fb71752a8d">FP_512PM_add</a></div><div class="ttdeci">void FP_512PM_add(FP_512PM *x, FP_512PM *y, FP_512PM *z)</div><div class="ttdoc">Modular addition of two FPs, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:385</div></div>
<div class="ttc" id="fp__512PM_8h_html_a12c429fd51c2629fadd08f961f5f3106"><div class="ttname"><a href="fp__512PM_8h.html#a12c429fd51c2629fadd08f961f5f3106">FP_512PM_mod</a></div><div class="ttdeci">void FP_512PM_mod(BIG_512_56 r, DBIG_512_56 d)</div><div class="ttdoc">Reduces DBIG to BIG exploiting special form of the modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:103</div></div>
<div class="ttc" id="structFP__512PM_html_a8dc365c346ca97414481df52b653de44"><div class="ttname"><a href="structFP__512PM.html#a8dc365c346ca97414481df52b653de44">FP_512PM::XES</a></div><div class="ttdeci">sign32 XES</div><div class="ttdef"><b>Definition:</b> fp_512PM.h:41</div></div>
<div class="ttc" id="fp__512PM_8h_html_a8f1462b68ca539fd272884834cea0d52"><div class="ttname"><a href="fp__512PM_8h.html#a8f1462b68ca539fd272884834cea0d52">FP_512PM_rcopy</a></div><div class="ttdeci">void FP_512PM_rcopy(FP_512PM *y, const BIG_512_56 x)</div><div class="ttdoc">Copy from ROM to an FP.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:222</div></div>
<div class="ttc" id="fp__512PM_8h_html_acc75431e8c31cda898a820e79306939e"><div class="ttname"><a href="fp__512PM_8h.html#acc75431e8c31cda898a820e79306939e">FP_512PM_zero</a></div><div class="ttdeci">void FP_512PM_zero(FP_512PM *x)</div><div class="ttdoc">Set FP to zero.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:251</div></div>
<div class="ttc" id="fp__512PM_8h_html_aaecc9fe4c450ff8b1d5876c9edacef94"><div class="ttname"><a href="fp__512PM_8h.html#aaecc9fe4c450ff8b1d5876c9edacef94">FP_512PM_sqr</a></div><div class="ttdeci">void FP_512PM_sqr(FP_512PM *x, FP_512PM *y)</div><div class="ttdoc">Fast Modular squaring of an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:366</div></div>
<div class="ttc" id="fp__512PM_8h_html_a4c7a1474696d2238b8e0c6ed32cf3256"><div class="ttname"><a href="fp__512PM_8h.html#a4c7a1474696d2238b8e0c6ed32cf3256">FP_512PM_sqrt</a></div><div class="ttdeci">void FP_512PM_sqrt(FP_512PM *x, FP_512PM *y)</div><div class="ttdoc">Fast Modular square root of a an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:747</div></div>
<div class="ttc" id="fp__512PM_8h_html_a22a071592627d535b2a02ad45f8fcc99"><div class="ttname"><a href="fp__512PM_8h.html#a22a071592627d535b2a02ad45f8fcc99">FP_512PM_equals</a></div><div class="ttdeci">int FP_512PM_equals(FP_512PM *x, FP_512PM *y)</div><div class="ttdoc">Compares two FPs.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:257</div></div>
<div class="ttc" id="fp__512PM_8h_html_ad2df7998417beb41fecacb009e3c588c"><div class="ttname"><a href="fp__512PM_8h.html#ad2df7998417beb41fecacb009e3c588c">FP_512PM_norm</a></div><div class="ttdeci">void FP_512PM_norm(FP_512PM *x)</div><div class="ttdoc">normalizes FP</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:484</div></div>
<div class="ttc" id="fp__512PM_8h_html_aa13531d79f51441dfebedb5bb9009d76"><div class="ttname"><a href="fp__512PM_8h.html#aa13531d79f51441dfebedb5bb9009d76">FP_512PM_neg</a></div><div class="ttdeci">void FP_512PM_neg(FP_512PM *x, FP_512PM *y)</div><div class="ttdoc">Modular negation of a an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:491</div></div>
<div class="ttc" id="big__512__56_8h_html"><div class="ttname"><a href="big__512__56_8h.html">big_512_56.h</a></div><div class="ttdoc">BIG Header File.</div></div>
<div class="ttc" id="fp__512PM_8h_html_a5dc6a3221fb0d116be5f4ff01958b559"><div class="ttname"><a href="fp__512PM_8h.html#a5dc6a3221fb0d116be5f4ff01958b559">Modulus_512PM</a></div><div class="ttdeci">const BIG_512_56 Modulus_512PM</div></div>
<div class="ttc" id="fp__512PM_8h_html_a7c7898d7291c90de4207416d36fc473b"><div class="ttname"><a href="fp__512PM_8h.html#a7c7898d7291c90de4207416d36fc473b">FP_512PM_nres</a></div><div class="ttdeci">void FP_512PM_nres(FP_512PM *y, BIG_512_56 x)</div><div class="ttdoc">Converts from BIG integer to residue form mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:90</div></div>
<div class="ttc" id="fp__512PM_8h_html_ada33b37287cfcce529e1a70d1a6e71cb"><div class="ttname"><a href="fp__512PM_8h.html#ada33b37287cfcce529e1a70d1a6e71cb">FP_512PM_iszilch</a></div><div class="ttdeci">int FP_512PM_iszilch(FP_512PM *x)</div><div class="ttdoc">Tests for FP equal to zero mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:207</div></div>
<div class="ttc" id="fp__512PM_8h_html_a21042e17e48a095870068eaafd8003b6"><div class="ttname"><a href="fp__512PM_8h.html#a21042e17e48a095870068eaafd8003b6">FP_512PM_cswap</a></div><div class="ttdeci">void FP_512PM_cswap(FP_512PM *x, FP_512PM *y, int s)</div><div class="ttdoc">Conditional constant time swap of two FP numbers.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:230</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="structFP__512PM_html"><div class="ttname"><a href="structFP__512PM.html">FP_512PM</a></div><div class="ttdoc">FP Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp_512PM.h:38</div></div>
<div class="ttc" id="fp__512PM_8h_html_a2b03d0b46f899bc6a722721fc7b30f56"><div class="ttname"><a href="fp__512PM_8h.html#a2b03d0b46f899bc6a722721fc7b30f56">FP_512PM_rawoutput</a></div><div class="ttdeci">void FP_512PM_rawoutput(FP_512PM *x)</div><div class="ttdoc">Outputs an FP number to the console, in raw form.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:277</div></div>
<div class="ttc" id="fp__512PM_8h_html_ab84fff2498a56cdb217bb5a2dde6ddc0"><div class="ttname"><a href="fp__512PM_8h.html#ab84fff2498a56cdb217bb5a2dde6ddc0">FP_512PM_copy</a></div><div class="ttdeci">void FP_512PM_copy(FP_512PM *y, FP_512PM *x)</div><div class="ttdoc">Copy an FP.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:216</div></div>
<div class="ttc" id="big__512__56_8h_html_a34d978f8cc3ea578d6f00eaa0329de11"><div class="ttname"><a href="big__512__56_8h.html#a34d978f8cc3ea578d6f00eaa0329de11">DBIG_512_56</a></div><div class="ttdeci">chunk DBIG_512_56[DNLEN_512_56]</div><div class="ttdef"><b>Definition:</b> big_512_56.h:59</div></div>
<div class="ttc" id="fp__512PM_8h_html_ae77c2b9c3ad159cbaedb41eef286a28e"><div class="ttname"><a href="fp__512PM_8h.html#ae77c2b9c3ad159cbaedb41eef286a28e">FP_512PM_reduce</a></div><div class="ttdeci">void FP_512PM_reduce(FP_512PM *x)</div><div class="ttdoc">Reduces possibly unreduced FP mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:449</div></div>
<div class="ttc" id="fp__512PM_8h_html_a0ba7a6b5fa787844aeef4b31727df9af"><div class="ttname"><a href="fp__512PM_8h.html#a0ba7a6b5fa787844aeef4b31727df9af">MConst_512PM</a></div><div class="ttdeci">const chunk MConst_512PM</div></div>
<div class="ttc" id="fp__512PM_8h_html_a883c8eb6036a05f1249f76ddc991f3b9"><div class="ttname"><a href="fp__512PM_8h.html#a883c8eb6036a05f1249f76ddc991f3b9">R2modp_512PM</a></div><div class="ttdeci">const BIG_512_56 R2modp_512PM</div></div>
<div class="ttc" id="arch_8h_html_a0dd4b8ab353c587b22c6acb0809323aa"><div class="ttname"><a href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a></div><div class="ttdeci">#define chunk</div><div class="ttdef"><b>Definition:</b> arch.h:109</div></div>
<div class="ttc" id="fp__512PM_8h_html_a0cc4206a0672409e2055cb9863a57309"><div class="ttname"><a href="fp__512PM_8h.html#a0cc4206a0672409e2055cb9863a57309">FP_512PM_mul</a></div><div class="ttdeci">void FP_512PM_mul(FP_512PM *x, FP_512PM *y, FP_512PM *z)</div><div class="ttdoc">Fast Modular multiplication of two FPs, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:297</div></div>
<div class="ttc" id="fp__512PM_8h_html_a1704a0cded5919f486685cdd15f178a6"><div class="ttname"><a href="fp__512PM_8h.html#a1704a0cded5919f486685cdd15f178a6">FP_512PM_redc</a></div><div class="ttdeci">void FP_512PM_redc(BIG_512_56 x, FP_512PM *y)</div><div class="ttdoc">Converts from residue form back to BIG integer form.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:97</div></div>
<div class="ttc" id="fp__512PM_8h_html_a992dfb0f4f9b2cf7991b509b15fa5d8d"><div class="ttname"><a href="fp__512PM_8h.html#a992dfb0f4f9b2cf7991b509b15fa5d8d">FP_512PM_imul</a></div><div class="ttdeci">void FP_512PM_imul(FP_512PM *x, FP_512PM *y, int i)</div><div class="ttdoc">Fast Modular multiplication of an FP, by a small integer, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_512PM.c:321</div></div>
<div class="ttc" id="fp__512PM_8h_html_a712cbdf6c572a2baef283bca09d9408d"><div class="ttname"><a href="fp__512PM_8h.html#a712cbdf6c572a2baef283bca09d9408d">FP_512PM_pow</a></div><div class="ttdeci">void FP_512PM_pow(FP_512PM *x, FP_512PM *y, BIG_512_56 z)</div><div class="ttdoc">Fast Modular exponentiation of an FP, to the power of a BIG, mod Modulus.</div></div>
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