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<a href="ecp__BN254_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 ECP_BN254_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define ECP_BN254_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="fp__BN254_8h.html">fp_BN254.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;config_curve_BN254.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;<span class="comment">/* Curve Params - see rom_zzz.c */</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#a17e7d485f5ec421e3f67ff3b94788479">CURVE_A_BN254</a>; </div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#a16f4e77ea1e8391eb2fa36aa67622105">CURVE_Cof_I_BN254</a>; </div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#ae9fb62302ecdbc0e758515f5eb949ab4">CURVE_B_I_BN254</a>; </div><div class="line"><a name="l00037"></a><span class="lineno"> 37</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="ecp__BN254_8h.html#a74273c1fde193ac042ae38d12554ea22">CURVE_B_BN254</a>; </div><div class="line"><a name="l00038"></a><span class="lineno"> 38</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="ecp__BN254_8h.html#abb2d701c7552c970f25f8047c105d25b">CURVE_Order_BN254</a>; </div><div class="line"><a name="l00039"></a><span class="lineno"> 39</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="ecp__BN254_8h.html#ab4efa5228d54f90b5476fa92e1548538">CURVE_Cof_BN254</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="comment">/* Generator point on G1 */</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</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="ecp__BN254_8h.html#a17a02d1c46592b601745f60eee50305f">CURVE_Gx_BN254</a>; </div><div class="line"><a name="l00043"></a><span class="lineno"> 43</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="ecp__BN254_8h.html#a952fba8aa78ec6c68fbfa44ad59f330c">CURVE_Gy_BN254</a>; </div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="comment">/* For Pairings only */</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="comment">/* Generator point on G2 */</span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</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="ecp__BN254_8h.html#a1c193b9c65acb159adea021f1bb59e1d">CURVE_Pxa_BN254</a>; </div><div class="line"><a name="l00050"></a><span class="lineno"> 50</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="ecp__BN254_8h.html#a836b37b410224115373eef28412171d1">CURVE_Pxb_BN254</a>; </div><div class="line"><a name="l00051"></a><span class="lineno"> 51</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="ecp__BN254_8h.html#a564168fc10e24cad9f57bab976a0e3d4">CURVE_Pya_BN254</a>; </div><div class="line"><a name="l00052"></a><span class="lineno"> 52</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="ecp__BN254_8h.html#a09da60900ce4878f1ddbe298cc77042f">CURVE_Pyb_BN254</a>; </div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="comment">/*** needed for BLS24 curves ***/</span></div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</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="ecp__BN254_8h.html#a27ebc7774bb0393abbe2ac28bfd08472">CURVE_Pxaa_BN254</a>; </div><div class="line"><a name="l00058"></a><span class="lineno"> 58</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="ecp__BN254_8h.html#a511c741aa07acf93417aeb7c422ba128">CURVE_Pxab_BN254</a>; </div><div class="line"><a name="l00059"></a><span class="lineno"> 59</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="ecp__BN254_8h.html#ad15532a5bb76888b542840b95f6d0f19">CURVE_Pxba_BN254</a>; </div><div class="line"><a name="l00060"></a><span class="lineno"> 60</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="ecp__BN254_8h.html#a6e8eacc61e8936753790d3e8ffe290bd">CURVE_Pxbb_BN254</a>; </div><div class="line"><a name="l00061"></a><span class="lineno"> 61</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="ecp__BN254_8h.html#a87dd378d296db71b9def0dcfc8cca509">CURVE_Pyaa_BN254</a>; </div><div class="line"><a name="l00062"></a><span class="lineno"> 62</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="ecp__BN254_8h.html#a1e5dbcfc43239c0de36508e7ea4d891b">CURVE_Pyab_BN254</a>; </div><div class="line"><a name="l00063"></a><span class="lineno"> 63</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="ecp__BN254_8h.html#a1479684d1704fda240898017345ae37a">CURVE_Pyba_BN254</a>; </div><div class="line"><a name="l00064"></a><span class="lineno"> 64</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="ecp__BN254_8h.html#aba154cee8c5056f04c29314d91576d46">CURVE_Pybb_BN254</a>; </div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="comment">/*** needed for BLS48 curves ***/</span></div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</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="ecp__BN254_8h.html#a0ce3199d2239dc896bb87ba7b8c73bb4">CURVE_Pxaaa_BN254</a>; </div><div class="line"><a name="l00069"></a><span class="lineno"> 69</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="ecp__BN254_8h.html#aca0c38779eaeac7db3bdeed90851f38e">CURVE_Pxaab_BN254</a>; </div><div class="line"><a name="l00070"></a><span class="lineno"> 70</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="ecp__BN254_8h.html#aec7b7e3462fe366437e5ea4825e0b52e">CURVE_Pxaba_BN254</a>; </div><div class="line"><a name="l00071"></a><span class="lineno"> 71</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="ecp__BN254_8h.html#af134a100ea1eb4b0c0ced2b2c1c75d60">CURVE_Pxabb_BN254</a>; </div><div class="line"><a name="l00072"></a><span class="lineno"> 72</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="ecp__BN254_8h.html#af2ca75fc070e5dd8a238e5567820a355">CURVE_Pxbaa_BN254</a>; </div><div class="line"><a name="l00073"></a><span class="lineno"> 73</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="ecp__BN254_8h.html#aa2bc15c95eb78427c2beba539913f6b1">CURVE_Pxbab_BN254</a>; </div><div class="line"><a name="l00074"></a><span class="lineno"> 74</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="ecp__BN254_8h.html#ad61f03a5caa8d3bb8401c28411330646">CURVE_Pxbba_BN254</a>; </div><div class="line"><a name="l00075"></a><span class="lineno"> 75</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="ecp__BN254_8h.html#a28fcf7ed98465677a43c289ff4bbff22">CURVE_Pxbbb_BN254</a>; </div><div class="line"><a name="l00077"></a><span class="lineno"> 77</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="ecp__BN254_8h.html#a5af004d40e00ed4e97a6dd850cd70792">CURVE_Pyaaa_BN254</a>; </div><div class="line"><a name="l00078"></a><span class="lineno"> 78</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="ecp__BN254_8h.html#a3d6f7c6ba498d9b298fd9d88ae032fe9">CURVE_Pyaab_BN254</a>; </div><div class="line"><a name="l00079"></a><span class="lineno"> 79</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="ecp__BN254_8h.html#a70c623a22a241a2a47737b04ac0d40fe">CURVE_Pyaba_BN254</a>; </div><div class="line"><a name="l00080"></a><span class="lineno"> 80</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="ecp__BN254_8h.html#abc5390e5ce77a38b8e4123fac2742b17">CURVE_Pyabb_BN254</a>; </div><div class="line"><a name="l00081"></a><span class="lineno"> 81</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="ecp__BN254_8h.html#a47f822a2da6c0a4a554db84a22468691">CURVE_Pybaa_BN254</a>; </div><div class="line"><a name="l00082"></a><span class="lineno"> 82</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="ecp__BN254_8h.html#ac5dc6faae22e054275050c713213f5ff">CURVE_Pybab_BN254</a>; </div><div class="line"><a name="l00083"></a><span class="lineno"> 83</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="ecp__BN254_8h.html#ac75c4ff67537283cc716ad80084f1fe7">CURVE_Pybba_BN254</a>; </div><div class="line"><a name="l00084"></a><span class="lineno"> 84</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="ecp__BN254_8h.html#ab6d13790b6cb54e4c6371b91752fa522">CURVE_Pybbb_BN254</a>; </div><div class="line"><a name="l00087"></a><span class="lineno"> 87</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="ecp__BN254_8h.html#a891b9fda048e66408bd6d66bf41d67ea">CURVE_Bnx_BN254</a>; </div><div class="line"><a name="l00089"></a><span class="lineno"> 89</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="ecp__BN254_8h.html#a5f4fe1daf3cec6d41d1bee51d058c6c4">CURVE_Cru_BN254</a>; </div><div class="line"><a name="l00091"></a><span class="lineno"> 91</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="ecp__BN254_8h.html#abf41342afa7230d0288d37a140d4ee9d">Fra_BN254</a>; </div><div class="line"><a name="l00092"></a><span class="lineno"> 92</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="ecp__BN254_8h.html#a85fadba81a01e0c26213ed65cbbe7471">Frb_BN254</a>; </div><div class="line"><a name="l00095"></a><span class="lineno"> 95</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="ecp__BN254_8h.html#a1547abe4b2c6ee56abc8d94be440b25f">CURVE_W_BN254</a>[2]; </div><div class="line"><a name="l00096"></a><span class="lineno"> 96</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="ecp__BN254_8h.html#aceeeb86f794c7df551b3faea905b10bf">CURVE_SB_BN254</a>[2][2]; </div><div class="line"><a name="l00097"></a><span class="lineno"> 97</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="ecp__BN254_8h.html#a74aa353773228d6a21bd2b76f52ae9ea">CURVE_WB_BN254</a>[4]; </div><div class="line"><a name="l00098"></a><span class="lineno"> 98</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="ecp__BN254_8h.html#a4206cf145c73ad24598227e8b63515fd">CURVE_BB_BN254</a>[4][4]; </div><div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="structECP__BN254.html"> 105</a></span>&#160;<span class="keyword">typedef</span> <span class="keyword">struct</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;{</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;<span class="comment">// int inf; /**&lt; Infinity Flag - not needed for Edwards representation */</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;</div><div class="line"><a name="l00109"></a><span class="lineno"><a class="line" href="structECP__BN254.html#a3a710d6e8df9214827ac426ce2fc86d9"> 109</a></span>&#160; <a class="code" href="structFP__BN254.html">FP_BN254</a> <a class="code" href="structECP__BN254.html#a3a710d6e8df9214827ac426ce2fc86d9">x</a>; </div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;<span class="preprocessor">#if CURVETYPE_BN254!=MONTGOMERY</span></div><div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="structECP__BN254.html#a0ef0e686389b04a7b1c3596721a84d17"> 111</a></span>&#160; <a class="code" href="structFP__BN254.html">FP_BN254</a> <a class="code" href="structECP__BN254.html#a0ef0e686389b04a7b1c3596721a84d17">y</a>; </div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00113"></a><span class="lineno"><a class="line" href="structECP__BN254.html#a02886f291594c1bf931ecab041e12ee1"> 113</a></span>&#160; <a class="code" href="structFP__BN254.html">FP_BN254</a> <a class="code" href="structECP__BN254.html#a02886f291594c1bf931ecab041e12ee1">z</a>;</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;} <a class="code" href="structECP__BN254.html">ECP_BN254</a>;</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;<span class="comment">/* ECP E(Fp) prototypes */</span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#a1c2ffb5ec3ba29edcfbcd08184491de0">ECP_BN254_isinf</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P);</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#aeee64f5bb0a2f40e5cb0f920802b90c0">ECP_BN254_equals</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q);</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a589a57d31790a2d5a0fdab849b9a5a6b">ECP_BN254_copy</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q);</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#ade65e2d411f961ee840e2017bda94280">ECP_BN254_neg</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P);</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#acf9be5105c5b2bceee0151d8991f0c9b">ECP_BN254_inf</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P);</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a8cf810733c325cce3746fe02ff2c5bcf">ECP_BN254_rhs</a>(<a class="code" href="structFP__BN254.html">FP_BN254</a> *r,<a class="code" href="structFP__BN254.html">FP_BN254</a> *x);</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;<span class="preprocessor">#if CURVETYPE_BN254==MONTGOMERY</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160;</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#a688b004f4e3efe9ddf7ea7e509aff9f5">ECP_BN254_set</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x);</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#aab4af96e5e02181d90bdfa837fba679b">ECP_BN254_get</a>(<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P);</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a8d2a1331b662cae957b55aefb7e493c4">ECP_BN254_add</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *D);</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;<span class="preprocessor">#else</span></div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#a688b004f4e3efe9ddf7ea7e509aff9f5">ECP_BN254_set</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> y);</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#aab4af96e5e02181d90bdfa837fba679b">ECP_BN254_get</a>(<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> y,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P);</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a8d2a1331b662cae957b55aefb7e493c4">ECP_BN254_add</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q);</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a3c42b3ed62fd840fbd457ddde3564ae0">ECP_BN254_sub</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q);</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#adfd80f0deb09d696d56337dff76fac45">ECP_BN254_setx</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x,<span class="keywordtype">int</span> s);</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#aeadb3a5f6bc7c11bd123966559c087c7">ECP_BN254_cfp</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q);</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160;</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#aaa3cc6864acea88e1123247cbf9289e9">ECP_BN254_mapit</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q,<a class="code" href="structoctet.html">octet</a> *w);</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;</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="ecp__BN254_8h.html#a97cfbf5a676c8680e5fed603611d1cab">ECP_BN254_affine</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P);</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#af55fcfcdfdf1db5f80e2628893f72cfb">ECP_BN254_outputxyz</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P);</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#abbc2a33c71dcd6edf9f689c4580d0898">ECP_BN254_output</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> * P);</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a6d1444e40c90d26518aca4fa469999c0">ECP_BN254_rawoutput</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> * P);</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;</div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a20b5c705daa84366807fd176da630fcf">ECP_BN254_toOctet</a>(<a class="code" href="structoctet.html">octet</a> *S,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<span class="keywordtype">bool</span> c);</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp__BN254_8h.html#a40e1616c4ff03850264c90156cc2422c">ECP_BN254_fromOctet</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="structoctet.html">octet</a> *S);</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a741c62043d5f3fddb29ed87268eedbdd">ECP_BN254_dbl</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P);</div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a88bb0348d1d07241225340474f3a9465">ECP_BN254_pinmul</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<span class="keywordtype">int</span> i,<span class="keywordtype">int</span> b);</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#ac9bf2f0af022b15f1668cba9502b41d7">ECP_BN254_mul</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#aec966e8ea1ff8f93718b361216838862">ECP_BN254_mul2</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *P,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> e,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> f);</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp__BN254_8h.html#a201fe6f1f01dbc9406fbc93b074327a1">ECP_BN254_generator</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *G);</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160;</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160;</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="structECP__BN254_html"><div class="ttname"><a href="structECP__BN254.html">ECP_BN254</a></div><div class="ttdoc">ECP structure - Elliptic Curve Point over base field.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.h:105</div></div>
<div class="ttc" id="structECP__BN254_html_a3a710d6e8df9214827ac426ce2fc86d9"><div class="ttname"><a href="structECP__BN254.html#a3a710d6e8df9214827ac426ce2fc86d9">ECP_BN254::x</a></div><div class="ttdeci">FP_BN254 x</div><div class="ttdef"><b>Definition:</b> ecp_BN254.h:109</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a27ebc7774bb0393abbe2ac28bfd08472"><div class="ttname"><a href="ecp__BN254_8h.html#a27ebc7774bb0393abbe2ac28bfd08472">CURVE_Pxaa_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxaa_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aab4af96e5e02181d90bdfa837fba679b"><div class="ttname"><a href="ecp__BN254_8h.html#aab4af96e5e02181d90bdfa837fba679b">ECP_BN254_get</a></div><div class="ttdeci">int ECP_BN254_get(BIG_256_56 x, BIG_256_56 y, ECP_BN254 *P)</div><div class="ttdoc">Extract x and y coordinates of an ECP point P.</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a6e8eacc61e8936753790d3e8ffe290bd"><div class="ttname"><a href="ecp__BN254_8h.html#a6e8eacc61e8936753790d3e8ffe290bd">CURVE_Pxbb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxbb_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aca0c38779eaeac7db3bdeed90851f38e"><div class="ttname"><a href="ecp__BN254_8h.html#aca0c38779eaeac7db3bdeed90851f38e">CURVE_Pxaab_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxaab_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a16f4e77ea1e8391eb2fa36aa67622105"><div class="ttname"><a href="ecp__BN254_8h.html#a16f4e77ea1e8391eb2fa36aa67622105">CURVE_Cof_I_BN254</a></div><div class="ttdeci">const int CURVE_Cof_I_BN254</div></div>
<div class="ttc" id="structECP__BN254_html_a0ef0e686389b04a7b1c3596721a84d17"><div class="ttname"><a href="structECP__BN254.html#a0ef0e686389b04a7b1c3596721a84d17">ECP_BN254::y</a></div><div class="ttdeci">FP_BN254 y</div><div class="ttdef"><b>Definition:</b> ecp_BN254.h:111</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a6d1444e40c90d26518aca4fa469999c0"><div class="ttname"><a href="ecp__BN254_8h.html#a6d1444e40c90d26518aca4fa469999c0">ECP_BN254_rawoutput</a></div><div class="ttdeci">void ECP_BN254_rawoutput(ECP_BN254 *P)</div><div class="ttdoc">Formats and outputs an ECP point to the console.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:478</div></div>
<div class="ttc" id="ecp__BN254_8h_html_ad15532a5bb76888b542840b95f6d0f19"><div class="ttname"><a href="ecp__BN254_8h.html#ad15532a5bb76888b542840b95f6d0f19">CURVE_Pxba_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxba_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a5f4fe1daf3cec6d41d1bee51d058c6c4"><div class="ttname"><a href="ecp__BN254_8h.html#a5f4fe1daf3cec6d41d1bee51d058c6c4">CURVE_Cru_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Cru_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a891b9fda048e66408bd6d66bf41d67ea"><div class="ttname"><a href="ecp__BN254_8h.html#a891b9fda048e66408bd6d66bf41d67ea">CURVE_Bnx_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Bnx_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a511c741aa07acf93417aeb7c422ba128"><div class="ttname"><a href="ecp__BN254_8h.html#a511c741aa07acf93417aeb7c422ba128">CURVE_Pxab_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxab_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a3c42b3ed62fd840fbd457ddde3564ae0"><div class="ttname"><a href="ecp__BN254_8h.html#a3c42b3ed62fd840fbd457ddde3564ae0">ECP_BN254_sub</a></div><div class="ttdeci">void ECP_BN254_sub(ECP_BN254 *P, ECP_BN254 *Q)</div><div class="ttdoc">Subtracts ECP instance Q from ECP instance P.</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a201fe6f1f01dbc9406fbc93b074327a1"><div class="ttname"><a href="ecp__BN254_8h.html#a201fe6f1f01dbc9406fbc93b074327a1">ECP_BN254_generator</a></div><div class="ttdeci">void ECP_BN254_generator(ECP_BN254 *G)</div><div class="ttdoc">Get Group Generator from ROM.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:1221</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aceeeb86f794c7df551b3faea905b10bf"><div class="ttname"><a href="ecp__BN254_8h.html#aceeeb86f794c7df551b3faea905b10bf">CURVE_SB_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_SB_BN254[2][2]</div></div>
<div class="ttc" id="structFP__BN254_html"><div class="ttname"><a href="structFP__BN254.html">FP_BN254</a></div><div class="ttdoc">FP Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp_BN254.h:38</div></div>
<div class="ttc" id="ecp__BN254_8h_html_ade65e2d411f961ee840e2017bda94280"><div class="ttname"><a href="ecp__BN254_8h.html#ade65e2d411f961ee840e2017bda94280">ECP_BN254_neg</a></div><div class="ttdeci">void ECP_BN254_neg(ECP_BN254 *P)</div><div class="ttdoc">Negation of an ECP point.</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a1e5dbcfc43239c0de36508e7ea4d891b"><div class="ttname"><a href="ecp__BN254_8h.html#a1e5dbcfc43239c0de36508e7ea4d891b">CURVE_Pyab_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pyab_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_abf41342afa7230d0288d37a140d4ee9d"><div class="ttname"><a href="ecp__BN254_8h.html#abf41342afa7230d0288d37a140d4ee9d">Fra_BN254</a></div><div class="ttdeci">const BIG_256_56 Fra_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_abb2d701c7552c970f25f8047c105d25b"><div class="ttname"><a href="ecp__BN254_8h.html#abb2d701c7552c970f25f8047c105d25b">CURVE_Order_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Order_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a70c623a22a241a2a47737b04ac0d40fe"><div class="ttname"><a href="ecp__BN254_8h.html#a70c623a22a241a2a47737b04ac0d40fe">CURVE_Pyaba_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pyaba_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a1479684d1704fda240898017345ae37a"><div class="ttname"><a href="ecp__BN254_8h.html#a1479684d1704fda240898017345ae37a">CURVE_Pyba_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pyba_BN254</div></div>
<div class="ttc" id="fp__BN254_8h_html"><div class="ttname"><a href="fp__BN254_8h.html">fp_BN254.h</a></div><div class="ttdoc">FP Header File.</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aeadb3a5f6bc7c11bd123966559c087c7"><div class="ttname"><a href="ecp__BN254_8h.html#aeadb3a5f6bc7c11bd123966559c087c7">ECP_BN254_cfp</a></div><div class="ttdeci">void ECP_BN254_cfp(ECP_BN254 *Q)</div><div class="ttdoc">Multiplies Point by curve co-factor.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:338</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a47f822a2da6c0a4a554db84a22468691"><div class="ttname"><a href="ecp__BN254_8h.html#a47f822a2da6c0a4a554db84a22468691">CURVE_Pybaa_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pybaa_BN254</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="ecp__BN254_8h_html_a836b37b410224115373eef28412171d1"><div class="ttname"><a href="ecp__BN254_8h.html#a836b37b410224115373eef28412171d1">CURVE_Pxb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxb_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_ac5dc6faae22e054275050c713213f5ff"><div class="ttname"><a href="ecp__BN254_8h.html#ac5dc6faae22e054275050c713213f5ff">CURVE_Pybab_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pybab_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a1c2ffb5ec3ba29edcfbcd08184491de0"><div class="ttname"><a href="ecp__BN254_8h.html#a1c2ffb5ec3ba29edcfbcd08184491de0">ECP_BN254_isinf</a></div><div class="ttdeci">int ECP_BN254_isinf(ECP_BN254 *P)</div><div class="ttdoc">Tests for ECP point equal to infinity.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:28</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aec7b7e3462fe366437e5ea4825e0b52e"><div class="ttname"><a href="ecp__BN254_8h.html#aec7b7e3462fe366437e5ea4825e0b52e">CURVE_Pxaba_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxaba_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aaa3cc6864acea88e1123247cbf9289e9"><div class="ttname"><a href="ecp__BN254_8h.html#aaa3cc6864acea88e1123247cbf9289e9">ECP_BN254_mapit</a></div><div class="ttdeci">void ECP_BN254_mapit(ECP_BN254 *Q, octet *w)</div><div class="ttdoc">Maps random BIG to curve point of correct order.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:365</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a09da60900ce4878f1ddbe298cc77042f"><div class="ttname"><a href="ecp__BN254_8h.html#a09da60900ce4878f1ddbe298cc77042f">CURVE_Pyb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pyb_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a8d2a1331b662cae957b55aefb7e493c4"><div class="ttname"><a href="ecp__BN254_8h.html#a8d2a1331b662cae957b55aefb7e493c4">ECP_BN254_add</a></div><div class="ttdeci">void ECP_BN254_add(ECP_BN254 *P, ECP_BN254 *Q)</div><div class="ttdoc">Adds ECP instance Q to ECP instance P.</div></div>
<div class="ttc" id="structECP__BN254_html_a02886f291594c1bf931ecab041e12ee1"><div class="ttname"><a href="structECP__BN254.html#a02886f291594c1bf931ecab041e12ee1">ECP_BN254::z</a></div><div class="ttdeci">FP_BN254 z</div><div class="ttdef"><b>Definition:</b> ecp_BN254.h:113</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a74aa353773228d6a21bd2b76f52ae9ea"><div class="ttname"><a href="ecp__BN254_8h.html#a74aa353773228d6a21bd2b76f52ae9ea">CURVE_WB_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_WB_BN254[4]</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a952fba8aa78ec6c68fbfa44ad59f330c"><div class="ttname"><a href="ecp__BN254_8h.html#a952fba8aa78ec6c68fbfa44ad59f330c">CURVE_Gy_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Gy_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a17a02d1c46592b601745f60eee50305f"><div class="ttname"><a href="ecp__BN254_8h.html#a17a02d1c46592b601745f60eee50305f">CURVE_Gx_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Gx_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_ab6d13790b6cb54e4c6371b91752fa522"><div class="ttname"><a href="ecp__BN254_8h.html#ab6d13790b6cb54e4c6371b91752fa522">CURVE_Pybbb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pybbb_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a87dd378d296db71b9def0dcfc8cca509"><div class="ttname"><a href="ecp__BN254_8h.html#a87dd378d296db71b9def0dcfc8cca509">CURVE_Pyaa_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pyaa_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_ad61f03a5caa8d3bb8401c28411330646"><div class="ttname"><a href="ecp__BN254_8h.html#ad61f03a5caa8d3bb8401c28411330646">CURVE_Pxbba_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxbba_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a0ce3199d2239dc896bb87ba7b8c73bb4"><div class="ttname"><a href="ecp__BN254_8h.html#a0ce3199d2239dc896bb87ba7b8c73bb4">CURVE_Pxaaa_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxaaa_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_ae9fb62302ecdbc0e758515f5eb949ab4"><div class="ttname"><a href="ecp__BN254_8h.html#ae9fb62302ecdbc0e758515f5eb949ab4">CURVE_B_I_BN254</a></div><div class="ttdeci">const int CURVE_B_I_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aa2bc15c95eb78427c2beba539913f6b1"><div class="ttname"><a href="ecp__BN254_8h.html#aa2bc15c95eb78427c2beba539913f6b1">CURVE_Pxbab_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxbab_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a74273c1fde193ac042ae38d12554ea22"><div class="ttname"><a href="ecp__BN254_8h.html#a74273c1fde193ac042ae38d12554ea22">CURVE_B_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_B_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a3d6f7c6ba498d9b298fd9d88ae032fe9"><div class="ttname"><a href="ecp__BN254_8h.html#a3d6f7c6ba498d9b298fd9d88ae032fe9">CURVE_Pyaab_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pyaab_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_af2ca75fc070e5dd8a238e5567820a355"><div class="ttname"><a href="ecp__BN254_8h.html#af2ca75fc070e5dd8a238e5567820a355">CURVE_Pxbaa_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxbaa_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a1c193b9c65acb159adea021f1bb59e1d"><div class="ttname"><a href="ecp__BN254_8h.html#a1c193b9c65acb159adea021f1bb59e1d">CURVE_Pxa_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxa_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a85fadba81a01e0c26213ed65cbbe7471"><div class="ttname"><a href="ecp__BN254_8h.html#a85fadba81a01e0c26213ed65cbbe7471">Frb_BN254</a></div><div class="ttdeci">const BIG_256_56 Frb_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a20b5c705daa84366807fd176da630fcf"><div class="ttname"><a href="ecp__BN254_8h.html#a20b5c705daa84366807fd176da630fcf">ECP_BN254_toOctet</a></div><div class="ttdeci">void ECP_BN254_toOctet(octet *S, ECP_BN254 *P, bool c)</div><div class="ttdoc">Formats and outputs an ECP point to an octet string The octet string is normally in the standard form...</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:507</div></div>
<div class="ttc" id="ecp__BN254_8h_html_abc5390e5ce77a38b8e4123fac2742b17"><div class="ttname"><a href="ecp__BN254_8h.html#abc5390e5ce77a38b8e4123fac2742b17">CURVE_Pyabb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pyabb_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a88bb0348d1d07241225340474f3a9465"><div class="ttname"><a href="ecp__BN254_8h.html#a88bb0348d1d07241225340474f3a9465">ECP_BN254_pinmul</a></div><div class="ttdeci">void ECP_BN254_pinmul(ECP_BN254 *P, int i, int b)</div><div class="ttdoc">Multiplies an ECP instance P by a small integer, side-channel resistant.</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aec966e8ea1ff8f93718b361216838862"><div class="ttname"><a href="ecp__BN254_8h.html#aec966e8ea1ff8f93718b361216838862">ECP_BN254_mul2</a></div><div class="ttdeci">void ECP_BN254_mul2(ECP_BN254 *P, ECP_BN254 *Q, BIG_256_56 e, BIG_256_56 f)</div><div class="ttdoc">Calculates double multiplication P=e*P+f*Q, side-channel resistant.</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a8cf810733c325cce3746fe02ff2c5bcf"><div class="ttname"><a href="ecp__BN254_8h.html#a8cf810733c325cce3746fe02ff2c5bcf">ECP_BN254_rhs</a></div><div class="ttdeci">void ECP_BN254_rhs(FP_BN254 *r, FP_BN254 *x)</div><div class="ttdoc">Calculate Right Hand Side of curve equation y^2=f(x)</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:161</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a5af004d40e00ed4e97a6dd850cd70792"><div class="ttname"><a href="ecp__BN254_8h.html#a5af004d40e00ed4e97a6dd850cd70792">CURVE_Pyaaa_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pyaaa_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a1547abe4b2c6ee56abc8d94be440b25f"><div class="ttname"><a href="ecp__BN254_8h.html#a1547abe4b2c6ee56abc8d94be440b25f">CURVE_W_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_W_BN254[2]</div></div>
<div class="ttc" id="ecp__BN254_8h_html_ac75c4ff67537283cc716ad80084f1fe7"><div class="ttname"><a href="ecp__BN254_8h.html#ac75c4ff67537283cc716ad80084f1fe7">CURVE_Pybba_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pybba_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_abbc2a33c71dcd6edf9f689c4580d0898"><div class="ttname"><a href="ecp__BN254_8h.html#abbc2a33c71dcd6edf9f689c4580d0898">ECP_BN254_output</a></div><div class="ttdeci">void ECP_BN254_output(ECP_BN254 *P)</div><div class="ttdoc">Formats and outputs an ECP point to the console, converted to affine coordinates.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:450</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a741c62043d5f3fddb29ed87268eedbdd"><div class="ttname"><a href="ecp__BN254_8h.html#a741c62043d5f3fddb29ed87268eedbdd">ECP_BN254_dbl</a></div><div class="ttdeci">void ECP_BN254_dbl(ECP_BN254 *P)</div><div class="ttdoc">Doubles an ECP instance P.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:564</div></div>
<div class="ttc" id="ecp__BN254_8h_html_adfd80f0deb09d696d56337dff76fac45"><div class="ttname"><a href="ecp__BN254_8h.html#adfd80f0deb09d696d56337dff76fac45">ECP_BN254_setx</a></div><div class="ttdeci">int ECP_BN254_setx(ECP_BN254 *P, BIG_256_56 x, int s)</div><div class="ttdoc">Set ECP to point(x,y) given just x and sign of y.</div></div>
<div class="ttc" id="ecp__BN254_8h_html_af55fcfcdfdf1db5f80e2628893f72cfb"><div class="ttname"><a href="ecp__BN254_8h.html#af55fcfcdfdf1db5f80e2628893f72cfb">ECP_BN254_outputxyz</a></div><div class="ttdeci">void ECP_BN254_outputxyz(ECP_BN254 *P)</div><div class="ttdoc">Formats and outputs an ECP point to the console, in projective coordinates.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:414</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a17e7d485f5ec421e3f67ff3b94788479"><div class="ttname"><a href="ecp__BN254_8h.html#a17e7d485f5ec421e3f67ff3b94788479">CURVE_A_BN254</a></div><div class="ttdeci">const int CURVE_A_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a28fcf7ed98465677a43c289ff4bbff22"><div class="ttname"><a href="ecp__BN254_8h.html#a28fcf7ed98465677a43c289ff4bbff22">CURVE_Pxbbb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxbbb_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aba154cee8c5056f04c29314d91576d46"><div class="ttname"><a href="ecp__BN254_8h.html#aba154cee8c5056f04c29314d91576d46">CURVE_Pybb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pybb_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_ab4efa5228d54f90b5476fa92e1548538"><div class="ttname"><a href="ecp__BN254_8h.html#ab4efa5228d54f90b5476fa92e1548538">CURVE_Cof_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Cof_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_acf9be5105c5b2bceee0151d8991f0c9b"><div class="ttname"><a href="ecp__BN254_8h.html#acf9be5105c5b2bceee0151d8991f0c9b">ECP_BN254_inf</a></div><div class="ttdeci">void ECP_BN254_inf(ECP_BN254 *P)</div><div class="ttdoc">Set ECP to point-at-infinity.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:146</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="ecp__BN254_8h_html_a97cfbf5a676c8680e5fed603611d1cab"><div class="ttname"><a href="ecp__BN254_8h.html#a97cfbf5a676c8680e5fed603611d1cab">ECP_BN254_affine</a></div><div class="ttdeci">void ECP_BN254_affine(ECP_BN254 *P)</div><div class="ttdoc">Converts an ECP point from Projective (x,y,z) coordinates to affine (x,y) coordinates.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:392</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a564168fc10e24cad9f57bab976a0e3d4"><div class="ttname"><a href="ecp__BN254_8h.html#a564168fc10e24cad9f57bab976a0e3d4">CURVE_Pya_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pya_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a40e1616c4ff03850264c90156cc2422c"><div class="ttname"><a href="ecp__BN254_8h.html#a40e1616c4ff03850264c90156cc2422c">ECP_BN254_fromOctet</a></div><div class="ttdeci">int ECP_BN254_fromOctet(ECP_BN254 *P, octet *S)</div><div class="ttdoc">Creates an ECP point from an octet string.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:537</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a4206cf145c73ad24598227e8b63515fd"><div class="ttname"><a href="ecp__BN254_8h.html#a4206cf145c73ad24598227e8b63515fd">CURVE_BB_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_BB_BN254[4][4]</div></div>
<div class="ttc" id="ecp__BN254_8h_html_af134a100ea1eb4b0c0ced2b2c1c75d60"><div class="ttname"><a href="ecp__BN254_8h.html#af134a100ea1eb4b0c0ced2b2c1c75d60">CURVE_Pxabb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxabb_BN254</div></div>
<div class="ttc" id="ecp__BN254_8h_html_aeee64f5bb0a2f40e5cb0f920802b90c0"><div class="ttname"><a href="ecp__BN254_8h.html#aeee64f5bb0a2f40e5cb0f920802b90c0">ECP_BN254_equals</a></div><div class="ttdeci">int ECP_BN254_equals(ECP_BN254 *P, ECP_BN254 *Q)</div><div class="ttdoc">Tests for equality of two ECPs.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:100</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a589a57d31790a2d5a0fdab849b9a5a6b"><div class="ttname"><a href="ecp__BN254_8h.html#a589a57d31790a2d5a0fdab849b9a5a6b">ECP_BN254_copy</a></div><div class="ttdeci">void ECP_BN254_copy(ECP_BN254 *P, ECP_BN254 *Q)</div><div class="ttdoc">Copy ECP point to another ECP point.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:120</div></div>
<div class="ttc" id="ecp__BN254_8h_html_ac9bf2f0af022b15f1668cba9502b41d7"><div class="ttname"><a href="ecp__BN254_8h.html#ac9bf2f0af022b15f1668cba9502b41d7">ECP_BN254_mul</a></div><div class="ttdeci">void ECP_BN254_mul(ECP_BN254 *P, BIG_256_56 b)</div><div class="ttdoc">Multiplies an ECP instance P by a BIG, side-channel resistant.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.c:1021</div></div>
<div class="ttc" id="ecp__BN254_8h_html_a688b004f4e3efe9ddf7ea7e509aff9f5"><div class="ttname"><a href="ecp__BN254_8h.html#a688b004f4e3efe9ddf7ea7e509aff9f5">ECP_BN254_set</a></div><div class="ttdeci">int ECP_BN254_set(ECP_BN254 *P, BIG_256_56 x, BIG_256_56 y)</div><div class="ttdoc">Set ECP to point(x,y) given x and y.</div></div>
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