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<a href="fp__BN254CX_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_BN254CX_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP_BN254CX_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__256__56_8h.html">big_256_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_BN254CX.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__BN254CX.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__BN254CX.html#a1892cd176173092da80d3f02ec96f7f2"> 40</a></span>&#160; <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="structFP__BN254CX.html#a1892cd176173092da80d3f02ec96f7f2">g</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="structFP__BN254CX.html#a00d3edd27abdf41f3de0c7ad953070a6"> 41</a></span>&#160; <a class="code" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a> <a class="code" href="structFP__BN254CX.html#a00d3edd27abdf41f3de0c7ad953070a6">XES</a>; </div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;} <a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="fp__BN254CX_8h.html#a72560e821d70b957f0b2d657647a15c3">Modulus_BN254CX</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="fp__BN254CX_8h.html#a2c884b526eef7b0fd36e2a8a215c3108">R2modp_BN254CX</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__BN254CX_8h.html#a027389eab6f7e1a2ae45e51e42ab9177">MConst_BN254CX</a>; </div><div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="fp__BN254CX_8h.html#a56b7d198001d9eacb07f13cfdcdae2ac"> 51</a></span>&#160;<span class="preprocessor">#define MODBITS_BN254CX MBITS_BN254CX </span></div><div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="fp__BN254CX_8h.html#a05d5b75b96172325dae497d78b55397c"> 52</a></span>&#160;<span class="preprocessor">#define TBITS_BN254CX (MBITS_BN254CX%BASEBITS_256_56) </span></div><div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="fp__BN254CX_8h.html#a9ce479e2e2a45a1bb96633d574681669"> 53</a></span>&#160;<span class="preprocessor">#define TMASK_BN254CX (((chunk)1&lt;&lt;TBITS_BN254CX)-1) </span></div><div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="fp__BN254CX_8h.html#ac9efd59092ebb1d3dcd928c09ef06c23"> 54</a></span>&#160;<span class="preprocessor">#define FEXCESS_BN254CX (((sign32)1&lt;&lt;MAXXES_BN254CX)-1) </span></div><div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="fp__BN254CX_8h.html#ad3b8410e93853e777ae71c9b6dda4733"> 55</a></span>&#160;<span class="preprocessor">#define OMASK_BN254CX (-((chunk)(1)&lt;&lt;TBITS_BN254CX)) </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__BN254CX_8h.html#afafe45a4c546adf0360559c5dfcf7633">FP_BN254CX_iszilch</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#aa8d9d233cc25a36baeb03022657ceea6">FP_BN254CX_zero</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a7d540c873c8cacb84daa5ddd0e660b3c">FP_BN254CX_copy</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *y,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a1f5e08d3bdb7ea90ae0e9177e5837e0d">FP_BN254CX_rcopy</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *y,<span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_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__BN254CX_8h.html#a4cce6ac1f66046b3aa71f2af74dfdd65">FP_BN254CX_equals</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a364b8a02841b3f7c6da2582281f8ada9">FP_BN254CX_cswap</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#ae5a545006aa3f9868f23ee14bff1c014">FP_BN254CX_cmove</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a7375a58451529f19c7097b3ec5fa93eb">FP_BN254CX_nres</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *y,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_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__BN254CX_8h.html#a5289585c51bfd3639e8208f874268568">FP_BN254CX_redc</a>(<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a0e4be0b9084103476af84eb68e1897af">FP_BN254CX_one</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#ae321ed7b7270ea118cc82cbd1ac2c081">FP_BN254CX_mod</a>(<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> r,<a class="code" href="big__256__56_8h.html#a6183570cd770f0ce6be0d94a42ee465a">DBIG_256_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_BN254CX_modmul(<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_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__BN254CX_8h.html#a9ade68e39dc9f7b1110cbf234a98edfc">FP_BN254CX_mul</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *y,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a98e0cf29a31114c0cd093b5fe53fdfd6">FP_BN254CX_imul</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#af78a547b9a6c9507dbfa7202d8b9aaa8">FP_BN254CX_sqr</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#ac04f27285cb04e549c44f5dfd8023645">FP_BN254CX_add</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *y,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#acc144e393cc32d8d61f0953005f10ee4">FP_BN254CX_sub</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *y,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a56fcd8a364447307388b23223a0eb5fe">FP_BN254CX_div2</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#ae8911db12d3d36b413591d6ff225f906">FP_BN254CX_pow</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *y,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_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__BN254CX_8h.html#a1b3393d07680ae552ae67981e4e8fcca">FP_BN254CX_sqrt</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a1f2fed5f47d3b1a94bde5c098a047cb0">FP_BN254CX_neg</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a52d0534a7a5bc2795a80c9b2bf7302f2">FP_BN254CX_output</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#ae29188a279ead7912d65a22d95bbb0a2">FP_BN254CX_rawoutput</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a0c1319f45d2624124c5b40bc80219bf4">FP_BN254CX_reduce</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#abf09bd2ba94fe591fb2199b9921c9ade">FP_BN254CX_norm</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#a7c20b8725b1576e538c835b7fc330916">FP_BN254CX_qr</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h.html#ab091b38fbcc00e817cbe8b1bb5458dd5">FP_BN254CX_inv</a>(<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</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__BN254CX_8h_html_ae5a545006aa3f9868f23ee14bff1c014"><div class="ttname"><a href="fp__BN254CX_8h.html#ae5a545006aa3f9868f23ee14bff1c014">FP_BN254CX_cmove</a></div><div class="ttdeci">void FP_BN254CX_cmove(FP_BN254CX *x, FP_BN254CX *y, int s)</div><div class="ttdoc">Conditional copy of FP number.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:243</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a7375a58451529f19c7097b3ec5fa93eb"><div class="ttname"><a href="fp__BN254CX_8h.html#a7375a58451529f19c7097b3ec5fa93eb">FP_BN254CX_nres</a></div><div class="ttdeci">void FP_BN254CX_nres(FP_BN254CX *y, BIG_256_56 x)</div><div class="ttdoc">Converts from BIG integer to residue form mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:90</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_af78a547b9a6c9507dbfa7202d8b9aaa8"><div class="ttname"><a href="fp__BN254CX_8h.html#af78a547b9a6c9507dbfa7202d8b9aaa8">FP_BN254CX_sqr</a></div><div class="ttdeci">void FP_BN254CX_sqr(FP_BN254CX *x, FP_BN254CX *y)</div><div class="ttdoc">Fast Modular squaring of an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:366</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_abf09bd2ba94fe591fb2199b9921c9ade"><div class="ttname"><a href="fp__BN254CX_8h.html#abf09bd2ba94fe591fb2199b9921c9ade">FP_BN254CX_norm</a></div><div class="ttdeci">void FP_BN254CX_norm(FP_BN254CX *x)</div><div class="ttdoc">normalizes FP</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:484</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a1b3393d07680ae552ae67981e4e8fcca"><div class="ttname"><a href="fp__BN254CX_8h.html#a1b3393d07680ae552ae67981e4e8fcca">FP_BN254CX_sqrt</a></div><div class="ttdeci">void FP_BN254CX_sqrt(FP_BN254CX *x, FP_BN254CX *y)</div><div class="ttdoc">Fast Modular square root of a an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:747</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a72560e821d70b957f0b2d657647a15c3"><div class="ttname"><a href="fp__BN254CX_8h.html#a72560e821d70b957f0b2d657647a15c3">Modulus_BN254CX</a></div><div class="ttdeci">const BIG_256_56 Modulus_BN254CX</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a0c1319f45d2624124c5b40bc80219bf4"><div class="ttname"><a href="fp__BN254CX_8h.html#a0c1319f45d2624124c5b40bc80219bf4">FP_BN254CX_reduce</a></div><div class="ttdeci">void FP_BN254CX_reduce(FP_BN254CX *x)</div><div class="ttdoc">Reduces possibly unreduced FP mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:449</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a364b8a02841b3f7c6da2582281f8ada9"><div class="ttname"><a href="fp__BN254CX_8h.html#a364b8a02841b3f7c6da2582281f8ada9">FP_BN254CX_cswap</a></div><div class="ttdeci">void FP_BN254CX_cswap(FP_BN254CX *x, FP_BN254CX *y, int s)</div><div class="ttdoc">Conditional constant time swap of two FP numbers.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:230</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_afafe45a4c546adf0360559c5dfcf7633"><div class="ttname"><a href="fp__BN254CX_8h.html#afafe45a4c546adf0360559c5dfcf7633">FP_BN254CX_iszilch</a></div><div class="ttdeci">int FP_BN254CX_iszilch(FP_BN254CX *x)</div><div class="ttdoc">Tests for FP equal to zero mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:207</div></div>
<div class="ttc" id="structFP__BN254CX_html_a00d3edd27abdf41f3de0c7ad953070a6"><div class="ttname"><a href="structFP__BN254CX.html#a00d3edd27abdf41f3de0c7ad953070a6">FP_BN254CX::XES</a></div><div class="ttdeci">sign32 XES</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.h:41</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a56fcd8a364447307388b23223a0eb5fe"><div class="ttname"><a href="fp__BN254CX_8h.html#a56fcd8a364447307388b23223a0eb5fe">FP_BN254CX_div2</a></div><div class="ttdeci">void FP_BN254CX_div2(FP_BN254CX *x, FP_BN254CX *y)</div><div class="ttdoc">Modular division by 2 of an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:515</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_aa8d9d233cc25a36baeb03022657ceea6"><div class="ttname"><a href="fp__BN254CX_8h.html#aa8d9d233cc25a36baeb03022657ceea6">FP_BN254CX_zero</a></div><div class="ttdeci">void FP_BN254CX_zero(FP_BN254CX *x)</div><div class="ttdoc">Set FP to zero.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:251</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_ab091b38fbcc00e817cbe8b1bb5458dd5"><div class="ttname"><a href="fp__BN254CX_8h.html#ab091b38fbcc00e817cbe8b1bb5458dd5">FP_BN254CX_inv</a></div><div class="ttdeci">void FP_BN254CX_inv(FP_BN254CX *x, FP_BN254CX *y)</div><div class="ttdoc">Modular inverse of a an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:648</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a7d540c873c8cacb84daa5ddd0e660b3c"><div class="ttname"><a href="fp__BN254CX_8h.html#a7d540c873c8cacb84daa5ddd0e660b3c">FP_BN254CX_copy</a></div><div class="ttdeci">void FP_BN254CX_copy(FP_BN254CX *y, FP_BN254CX *x)</div><div class="ttdoc">Copy an FP.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:216</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_ac04f27285cb04e549c44f5dfd8023645"><div class="ttname"><a href="fp__BN254CX_8h.html#ac04f27285cb04e549c44f5dfd8023645">FP_BN254CX_add</a></div><div class="ttdeci">void FP_BN254CX_add(FP_BN254CX *x, FP_BN254CX *y, FP_BN254CX *z)</div><div class="ttdoc">Modular addition of two FPs, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:385</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_ae29188a279ead7912d65a22d95bbb0a2"><div class="ttname"><a href="fp__BN254CX_8h.html#ae29188a279ead7912d65a22d95bbb0a2">FP_BN254CX_rawoutput</a></div><div class="ttdeci">void FP_BN254CX_rawoutput(FP_BN254CX *x)</div><div class="ttdoc">Outputs an FP number to the console, in raw form.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:277</div></div>
<div class="ttc" id="structFP__BN254CX_html_a1892cd176173092da80d3f02ec96f7f2"><div class="ttname"><a href="structFP__BN254CX.html#a1892cd176173092da80d3f02ec96f7f2">FP_BN254CX::g</a></div><div class="ttdeci">BIG_256_56 g</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.h:40</div></div>
<div class="ttc" id="big__256__56_8h_html_a6183570cd770f0ce6be0d94a42ee465a"><div class="ttname"><a href="big__256__56_8h.html#a6183570cd770f0ce6be0d94a42ee465a">DBIG_256_56</a></div><div class="ttdeci">chunk DBIG_256_56[DNLEN_256_56]</div><div class="ttdef"><b>Definition:</b> big_256_56.h:59</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a1f2fed5f47d3b1a94bde5c098a047cb0"><div class="ttname"><a href="fp__BN254CX_8h.html#a1f2fed5f47d3b1a94bde5c098a047cb0">FP_BN254CX_neg</a></div><div class="ttdeci">void FP_BN254CX_neg(FP_BN254CX *x, FP_BN254CX *y)</div><div class="ttdoc">Modular negation of a an FP, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:491</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_ae8911db12d3d36b413591d6ff225f906"><div class="ttname"><a href="fp__BN254CX_8h.html#ae8911db12d3d36b413591d6ff225f906">FP_BN254CX_pow</a></div><div class="ttdeci">void FP_BN254CX_pow(FP_BN254CX *x, FP_BN254CX *y, BIG_256_56 z)</div><div class="ttdoc">Fast Modular exponentiation of an FP, to the power of a BIG, mod Modulus.</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a5289585c51bfd3639e8208f874268568"><div class="ttname"><a href="fp__BN254CX_8h.html#a5289585c51bfd3639e8208f874268568">FP_BN254CX_redc</a></div><div class="ttdeci">void FP_BN254CX_redc(BIG_256_56 x, FP_BN254CX *y)</div><div class="ttdoc">Converts from residue form back to BIG integer form.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:97</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a7c20b8725b1576e538c835b7fc330916"><div class="ttname"><a href="fp__BN254CX_8h.html#a7c20b8725b1576e538c835b7fc330916">FP_BN254CX_qr</a></div><div class="ttdeci">int FP_BN254CX_qr(FP_BN254CX *x)</div><div class="ttdoc">Tests for FP a quadratic residue mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:731</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a0e4be0b9084103476af84eb68e1897af"><div class="ttname"><a href="fp__BN254CX_8h.html#a0e4be0b9084103476af84eb68e1897af">FP_BN254CX_one</a></div><div class="ttdeci">void FP_BN254CX_one(FP_BN254CX *x)</div><div class="ttdoc">Sets FP to representation of unity in residue form.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:723</div></div>
<div class="ttc" id="big__256__56_8h_html"><div class="ttname"><a href="big__256__56_8h.html">big_256_56.h</a></div><div class="ttdoc">BIG Header File.</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a52d0534a7a5bc2795a80c9b2bf7302f2"><div class="ttname"><a href="fp__BN254CX_8h.html#a52d0534a7a5bc2795a80c9b2bf7302f2">FP_BN254CX_output</a></div><div class="ttdeci">void FP_BN254CX_output(FP_BN254CX *x)</div><div class="ttdoc">Outputs an FP number to the console.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:270</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a1f5e08d3bdb7ea90ae0e9177e5837e0d"><div class="ttname"><a href="fp__BN254CX_8h.html#a1f5e08d3bdb7ea90ae0e9177e5837e0d">FP_BN254CX_rcopy</a></div><div class="ttdeci">void FP_BN254CX_rcopy(FP_BN254CX *y, const BIG_256_56 x)</div><div class="ttdoc">Copy from ROM to an FP.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:222</div></div>
<div class="ttc" id="structFP__BN254CX_html"><div class="ttname"><a href="structFP__BN254CX.html">FP_BN254CX</a></div><div class="ttdoc">FP Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.h:38</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a9ade68e39dc9f7b1110cbf234a98edfc"><div class="ttname"><a href="fp__BN254CX_8h.html#a9ade68e39dc9f7b1110cbf234a98edfc">FP_BN254CX_mul</a></div><div class="ttdeci">void FP_BN254CX_mul(FP_BN254CX *x, FP_BN254CX *y, FP_BN254CX *z)</div><div class="ttdoc">Fast Modular multiplication of two FPs, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:297</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="fp__BN254CX_8h_html_acc144e393cc32d8d61f0953005f10ee4"><div class="ttname"><a href="fp__BN254CX_8h.html#acc144e393cc32d8d61f0953005f10ee4">FP_BN254CX_sub</a></div><div class="ttdeci">void FP_BN254CX_sub(FP_BN254CX *x, FP_BN254CX *y, FP_BN254CX *z)</div><div class="ttdoc">Modular subtraction of two FPs, mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:400</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a027389eab6f7e1a2ae45e51e42ab9177"><div class="ttname"><a href="fp__BN254CX_8h.html#a027389eab6f7e1a2ae45e51e42ab9177">MConst_BN254CX</a></div><div class="ttdeci">const chunk MConst_BN254CX</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_ae321ed7b7270ea118cc82cbd1ac2c081"><div class="ttname"><a href="fp__BN254CX_8h.html#ae321ed7b7270ea118cc82cbd1ac2c081">FP_BN254CX_mod</a></div><div class="ttdeci">void FP_BN254CX_mod(BIG_256_56 r, DBIG_256_56 d)</div><div class="ttdoc">Reduces DBIG to BIG exploiting special form of the modulus.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:103</div></div>
<div class="ttc" id="big__256__56_8h_html_abea3e70a8a87f28329ed8e48af7bb244"><div class="ttname"><a href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a></div><div class="ttdeci">chunk BIG_256_56[NLEN_256_56]</div><div class="ttdef"><b>Definition:</b> big_256_56.h:58</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__BN254CX_8h_html_a4cce6ac1f66046b3aa71f2af74dfdd65"><div class="ttname"><a href="fp__BN254CX_8h.html#a4cce6ac1f66046b3aa71f2af74dfdd65">FP_BN254CX_equals</a></div><div class="ttdeci">int FP_BN254CX_equals(FP_BN254CX *x, FP_BN254CX *y)</div><div class="ttdoc">Compares two FPs.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.c:257</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a2c884b526eef7b0fd36e2a8a215c3108"><div class="ttname"><a href="fp__BN254CX_8h.html#a2c884b526eef7b0fd36e2a8a215c3108">R2modp_BN254CX</a></div><div class="ttdeci">const BIG_256_56 R2modp_BN254CX</div></div>
<div class="ttc" id="fp__BN254CX_8h_html_a98e0cf29a31114c0cd093b5fe53fdfd6"><div class="ttname"><a href="fp__BN254CX_8h.html#a98e0cf29a31114c0cd093b5fe53fdfd6">FP_BN254CX_imul</a></div><div class="ttdeci">void FP_BN254CX_imul(FP_BN254CX *x, FP_BN254CX *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_BN254CX.c:321</div></div>
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