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<a href="group__impl_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"> * Copyright (c) 2013, 2014 Pieter Wuille *</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> * Distributed under the MIT software license, see the accompanying *</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> * file COPYING or http://www.opensource.org/licenses/mit-license.php.*</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> **********************************************************************/</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;</div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="preprocessor">#ifndef _SECP256K1_GROUP_IMPL_H_</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="preprocessor">#define _SECP256K1_GROUP_IMPL_H_</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;</div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="preprocessor">#include &lt;string.h&gt;</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;</div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="num_8h.html">num.h</a>&quot;</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="field_8h.html">field.h</a>&quot;</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="group_8h.html">group.h</a>&quot;</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;</div><div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="group__impl_8h.html#ac2075a99877abe469ea60a119fe68e6c"> 19</a></span>&#160;<span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> <a class="code" href="group__impl_8h.html#ac2075a99877abe469ea60a119fe68e6c">secp256k1_ge_const_g</a> = <a class="code" href="group_8h.html#adb0cb248ca6d0aabe3a82423233e6ce3">SECP256K1_GE_CONST</a>(</div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL,</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL,</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL,</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;);</div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;</div><div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a6492f6aad16e545239c0ec52780d2e1f"> 26</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a6492f6aad16e545239c0ec52780d2e1f">secp256k1_ge_set_gej_zinv</a>(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *zi) {</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> zi2; </div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> zi3;</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;zi2, zi);</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;zi3, &amp;zi2, zi);</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;zi2);</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;zi3);</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>;</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;}</div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a34ab3d1a9a0a7ff0ed1cedff9db5f73c"> 36</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a34ab3d1a9a0a7ff0ed1cedff9db5f73c">secp256k1_ge_set_xy</a>(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *x, <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *y) {</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a> = 0;</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a> = *x;</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a> = *y;</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;}</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;</div><div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="group__impl_8h.html#ac83592db46af97faf7ba9b9a39a1f6ff"> 42</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="group__impl_8h.html#ac83592db46af97faf7ba9b9a39a1f6ff">secp256k1_ge_is_infinity</a>(<span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *a) {</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keywordflow">return</span> a-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a>;</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;</div><div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="group__impl_8h.html#abcb34de0cfdf82a125e059f4f98de1d9"> 46</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#abcb34de0cfdf82a125e059f4f98de1d9">secp256k1_ge_neg</a>(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *a) {</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; *r = *a;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>);</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, 1);</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;}</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;</div><div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="group__impl_8h.html#aa511eebf8cd7419763f06555ed4fb62d"> 52</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#aa511eebf8cd7419763f06555ed4fb62d">secp256k1_ge_set_gej</a>(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a) {</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> z2, z3;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>;</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <a class="code" href="field_8h.html#a3a071aa04ce0d88003b059c0a8ee0c0e">secp256k1_fe_inv</a>(&amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;z2, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;z3, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;z2);</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;z2);</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;z3);</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(&amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, 1);</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>;</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>;</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;}</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;</div><div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="group__impl_8h.html#aea803cf52c0f33c2cb3bfb82d5790d71"> 65</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#aea803cf52c0f33c2cb3bfb82d5790d71">secp256k1_ge_set_gej_var</a>(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a) {</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> z2, z3;</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>;</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keywordflow">if</span> (a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>) {</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; }</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <a class="code" href="field_8h.html#a0090ecfb39b34a8965cc16ae1feca5aa">secp256k1_fe_inv_var</a>(&amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;z2, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;z3, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;z2);</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;z2);</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;z3);</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(&amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, 1);</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>;</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>;</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;}</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;</div><div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="group__impl_8h.html#ada58b0cf328a74cfdd1f8b35083668a1"> 81</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#ada58b0cf328a74cfdd1f8b35083668a1">secp256k1_ge_set_all_gej_var</a>(<span class="keywordtype">size_t</span> len, <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <span class="keyword">const</span> <a class="code" href="structsecp256k1__callback.html">secp256k1_callback</a> *cb) {</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *az;</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *azi;</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keywordtype">size_t</span> i;</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="tests_8c.html#ad43c3812e6d13e0518d9f8b8f463ffcf">count</a> = 0;</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; az = (<a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *)<a class="code" href="secp256k1_2src_2util_8h.html#a20790114658c559e5048a38694708c3e">checked_malloc</a>(cb, <span class="keyword">sizeof</span>(<a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a>) * len);</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; len; i++) {</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordflow">if</span> (!a[i].infinity) {</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; az[<a class="code" href="tests_8c.html#ad43c3812e6d13e0518d9f8b8f463ffcf">count</a>++] = a[i].<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; }</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; }</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; azi = (<a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *)<a class="code" href="secp256k1_2src_2util_8h.html#a20790114658c559e5048a38694708c3e">checked_malloc</a>(cb, <span class="keyword">sizeof</span>(<a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a>) * <a class="code" href="tests_8c.html#ad43c3812e6d13e0518d9f8b8f463ffcf">count</a>);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <a class="code" href="field_8h.html#a728a757d8960973603be6f3b2aa13f4e">secp256k1_fe_inv_all_var</a>(<a class="code" href="tests_8c.html#ad43c3812e6d13e0518d9f8b8f463ffcf">count</a>, azi, az);</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; free(az);</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <a class="code" href="tests_8c.html#ad43c3812e6d13e0518d9f8b8f463ffcf">count</a> = 0;</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; len; i++) {</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; r[i].<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a> = a[i].<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>;</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keywordflow">if</span> (!a[i].infinity) {</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <a class="code" href="group__impl_8h.html#a6492f6aad16e545239c0ec52780d2e1f">secp256k1_ge_set_gej_zinv</a>(&amp;r[i], &amp;a[i], &amp;azi[<a class="code" href="tests_8c.html#ad43c3812e6d13e0518d9f8b8f463ffcf">count</a>++]);</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; }</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; }</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; free(azi);</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;}</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"><a class="line" href="group__impl_8h.html#a1cf9611464711ed63bde94d92ecc70de"> 107</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a1cf9611464711ed63bde94d92ecc70de">secp256k1_ge_set_table_gej_var</a>(<span class="keywordtype">size_t</span> len, <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *zr) {</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <span class="keywordtype">size_t</span> i = len - 1;</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> zi;</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keywordflow">if</span> (len &gt; 0) {</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="comment">/* Compute the inverse of the last z coordinate, and use it to compute the last affine output. */</span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <a class="code" href="field_8h.html#a3a071aa04ce0d88003b059c0a8ee0c0e">secp256k1_fe_inv</a>(&amp;zi, &amp;a[i].z);</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <a class="code" href="group__impl_8h.html#a6492f6aad16e545239c0ec52780d2e1f">secp256k1_ge_set_gej_zinv</a>(&amp;r[i], &amp;a[i], &amp;zi);</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; <span class="comment">/* Work out way backwards, using the z-ratios to scale the x/y values. */</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keywordflow">while</span> (i &gt; 0) {</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;zi, &amp;zi, &amp;zr[i]);</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; i--;</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <a class="code" href="group__impl_8h.html#a6492f6aad16e545239c0ec52780d2e1f">secp256k1_ge_set_gej_zinv</a>(&amp;r[i], &amp;a[i], &amp;zi);</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; }</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; }</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;}</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a5391d63ab98be9202d5f14611133fe35"> 125</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a5391d63ab98be9202d5f14611133fe35">secp256k1_ge_globalz_set_table_gej</a>(<span class="keywordtype">size_t</span> len, <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *globalz, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *zr) {</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="keywordtype">size_t</span> i = len - 1;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> zs;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keywordflow">if</span> (len &gt; 0) {</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <span class="comment">/* The z of the final point gives us the &quot;global Z&quot; for the table. */</span></div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; r[i].<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a> = a[i].<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>;</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; r[i].<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a> = a[i].<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>;</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; *globalz = a[i].<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; r[i].<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a> = 0;</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; zs = zr[i];</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="comment">/* Work our way backwards, using the z-ratios to scale the x/y values. */</span></div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keywordflow">while</span> (i &gt; 0) {</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="keywordflow">if</span> (i != len - 1) {</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;zs, &amp;zs, &amp;zr[i]);</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; }</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; i--;</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <a class="code" href="group__impl_8h.html#a6492f6aad16e545239c0ec52780d2e1f">secp256k1_ge_set_gej_zinv</a>(&amp;r[i], &amp;a[i], &amp;zs);</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; }</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; }</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;}</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;</div><div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a2c6b24a2db08260d89e891eab7035b2c"> 148</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a2c6b24a2db08260d89e891eab7035b2c">secp256k1_gej_set_infinity</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r) {</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = 1;</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 0);</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, 0);</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, 0);</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;}</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;</div><div class="line"><a name="l00155"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a2454dfbe1e75eba118d2c0a4184a9acc"> 155</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a2454dfbe1e75eba118d2c0a4184a9acc">secp256k1_gej_clear</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r) {</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = 0;</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <a class="code" href="field__10x26__impl_8h.html#aa213f05a02544f894a8829f672b6e4ea">secp256k1_fe_clear</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>);</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <a class="code" href="field__10x26__impl_8h.html#aa213f05a02544f894a8829f672b6e4ea">secp256k1_fe_clear</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>);</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <a class="code" href="field__10x26__impl_8h.html#aa213f05a02544f894a8829f672b6e4ea">secp256k1_fe_clear</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;}</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;</div><div class="line"><a name="l00162"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a34793cf48794f089bb28597d1a9f23b2"> 162</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a34793cf48794f089bb28597d1a9f23b2">secp256k1_ge_clear</a>(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r) {</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a> = 0;</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <a class="code" href="field__10x26__impl_8h.html#aa213f05a02544f894a8829f672b6e4ea">secp256k1_fe_clear</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>);</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <a class="code" href="field__10x26__impl_8h.html#aa213f05a02544f894a8829f672b6e4ea">secp256k1_fe_clear</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>);</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;}</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;</div><div class="line"><a name="l00168"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a767d4255b822bcd84f84d9b440b3af86"> 168</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="group__impl_8h.html#a767d4255b822bcd84f84d9b440b3af86">secp256k1_ge_set_xquad_var</a>(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *x) {</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> x2, x3, c;</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a> = *x;</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;x2, x);</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;x3, x, &amp;x2);</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a> = 0;</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(&amp;c, 7);</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;c, &amp;x3);</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <span class="keywordflow">return</span> <a class="code" href="field_8h.html#adeed9551ce946187f98c5e3d789e9575">secp256k1_fe_sqrt_var</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, &amp;c);</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;}</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160;</div><div class="line"><a name="l00179"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a3c3d9154b093bb4ed48ba55e4c28a0b5"> 179</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="group__impl_8h.html#a3c3d9154b093bb4ed48ba55e4c28a0b5">secp256k1_ge_set_xo_var</a>(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *x, <span class="keywordtype">int</span> odd) {</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="group__impl_8h.html#a767d4255b822bcd84f84d9b440b3af86">secp256k1_ge_set_xquad_var</a>(r, x)) {</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keywordflow">return</span> 0;</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; }</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <a class="code" href="field_8h.html#a2d45c987537eadb2923c93aa3af9db71">secp256k1_fe_normalize_var</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>);</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="field_8h.html#a4657d3eea1cc59c7a20cc2d19663bf02">secp256k1_fe_is_odd</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>) != odd) {</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, 1);</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; }</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <span class="keywordflow">return</span> 1;</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;}</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;</div><div class="line"><a name="l00191"></a><span class="lineno"><a class="line" href="group__impl_8h.html#ad5f813e26afb239f03e83f0e61e05498"> 191</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#ad5f813e26afb239f03e83f0e61e05498">secp256k1_gej_set_ge</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *a) {</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = a-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a>;</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a> = a-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>;</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a> = a-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>;</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, 1);</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160;}</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160;</div><div class="line"><a name="l00198"></a><span class="lineno"><a class="line" href="group__impl_8h.html#aa32fc177f081f16d5979045d3632cf8b"> 198</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="group__impl_8h.html#aa32fc177f081f16d5979045d3632cf8b">secp256k1_gej_eq_x_var</a>(<span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *x, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a) {</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> r, r2;</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(!a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>);</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;r, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r, &amp;r, x);</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; r2 = a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;r2);</div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <span class="keywordflow">return</span> <a class="code" href="field_8h.html#a16ab4d0dd8bcb5da1b888288063014f3">secp256k1_fe_equal_var</a>(&amp;r, &amp;r2);</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;}</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;</div><div class="line"><a name="l00206"></a><span class="lineno"><a class="line" href="group__impl_8h.html#af9194949a7aaf18aceab1dee73fe4027"> 206</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#af9194949a7aaf18aceab1dee73fe4027">secp256k1_gej_neg</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a) {</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>;</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>;</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>;</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>;</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>);</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, 1);</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;}</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160;</div><div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a33786d5853579c92d46fac51f6a40093"> 215</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="group__impl_8h.html#a33786d5853579c92d46fac51f6a40093">secp256k1_gej_is_infinity</a>(<span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a) {</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="keywordflow">return</span> a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>;</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;}</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;</div><div class="line"><a name="l00219"></a><span class="lineno"><a class="line" href="group__impl_8h.html#aaf14c34acab0a279530f58c7e7d50749"> 219</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="group__impl_8h.html#aaf14c34acab0a279530f58c7e7d50749">secp256k1_gej_is_valid_var</a>(<span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a) {</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> y2, x3, z2, z6;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <span class="keywordflow">if</span> (a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>) {</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <span class="keywordflow">return</span> 0;</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; }</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;y2, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>);</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;x3, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;x3, &amp;x3, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>);</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;z2, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;z6, &amp;z2); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;z6, &amp;z6, &amp;z2);</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;z6, 7);</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;x3, &amp;z6);</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;x3);</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; <span class="keywordflow">return</span> <a class="code" href="field_8h.html#a16ab4d0dd8bcb5da1b888288063014f3">secp256k1_fe_equal_var</a>(&amp;y2, &amp;x3);</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160;}</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;</div><div class="line"><a name="l00239"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a83600b0c4d8e95a8b2e730b4e2f207dc"> 239</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="group__impl_8h.html#a83600b0c4d8e95a8b2e730b4e2f207dc">secp256k1_ge_is_valid_var</a>(<span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *a) {</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> y2, x3, c;</div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; <span class="keywordflow">if</span> (a-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a>) {</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <span class="keywordflow">return</span> 0;</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; <span class="comment">/* y^2 = x^3 + 7 */</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;y2, &amp;a-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>);</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;x3, &amp;a-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;x3, &amp;x3, &amp;a-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>);</div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(&amp;c, 7);</div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;x3, &amp;c);</div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;x3);</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; <span class="keywordflow">return</span> <a class="code" href="field_8h.html#a16ab4d0dd8bcb5da1b888288063014f3">secp256k1_fe_equal_var</a>(&amp;y2, &amp;x3);</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;}</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160;</div><div class="line"><a name="l00253"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a033aa434a4d0838f649ad757dd44db46"> 253</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a033aa434a4d0838f649ad757dd44db46">secp256k1_gej_double_var</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *rzr) {</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="comment">/* Operations: 3 mul, 4 sqr, 0 normalize, 12 mul_int/add/negate */</span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> t1,t2,t3,t4;</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>;</div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; <span class="keywordflow">if</span> (r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>) {</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="keywordflow">if</span> (rzr != NULL) {</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(rzr, 1);</div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; }</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; }</div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <span class="keywordflow">if</span> (rzr != NULL) {</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; *rzr = a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>;</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(rzr);</div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(rzr, 2);</div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; }</div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;</div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>);</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, 2); <span class="comment">/* Z&#39; = 2*Y*Z (2) */</span></div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;t1, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>);</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;t1, 3); <span class="comment">/* T1 = 3*X^2 (3) */</span></div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;t2, &amp;t1); <span class="comment">/* T2 = 9*X^4 (1) */</span></div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;t3, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>);</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;t3, 2); <span class="comment">/* T3 = 2*Y^2 (2) */</span></div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;t4, &amp;t3);</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;t4, 2); <span class="comment">/* T4 = 8*Y^4 (2) */</span></div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;t3, &amp;t3, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>); <span class="comment">/* T3 = 2*X*Y^2 (1) */</span></div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a> = t3;</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 4); <span class="comment">/* X&#39; = 8*X*Y^2 (4) */</span></div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 4); <span class="comment">/* X&#39; = -8*X*Y^2 (5) */</span></div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;t2); <span class="comment">/* X&#39; = 9*X^4 - 8*X*Y^2 (6) */</span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;t2, &amp;t2, 1); <span class="comment">/* T2 = -9*X^4 (2) */</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;t3, 6); <span class="comment">/* T3 = 12*X*Y^2 (6) */</span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;t3, &amp;t2); <span class="comment">/* T3 = 12*X*Y^2 - 9*X^4 (8) */</span></div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;t1, &amp;t3); <span class="comment">/* Y&#39; = 36*X^3*Y^2 - 27*X^6 (1) */</span></div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;t2, &amp;t4, 2); <span class="comment">/* T2 = -8*Y^4 (3) */</span></div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;t2); <span class="comment">/* Y&#39; = 36*X^3*Y^2 - 27*X^6 - 8*Y^4 (4) */</span></div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;}</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;</div><div class="line"><a name="l00296"></a><span class="lineno"><a class="line" href="group__impl_8h.html#accf4e481cd660b1df01b4b90f5d28bb4"> 296</a></span>&#160;<span class="keyword">static</span> <a class="code" href="secp256k1_8h.html#a7ddc487fd46aee88f21cabedb7268b1e">SECP256K1_INLINE</a> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#accf4e481cd660b1df01b4b90f5d28bb4">secp256k1_gej_double_nonzero</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *rzr) {</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(!<a class="code" href="group__impl_8h.html#a33786d5853579c92d46fac51f6a40093">secp256k1_gej_is_infinity</a>(a));</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; <a class="code" href="group__impl_8h.html#a033aa434a4d0838f649ad757dd44db46">secp256k1_gej_double_var</a>(r, a, rzr);</div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;}</div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160;</div><div class="line"><a name="l00301"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a8df21f3ef7412e6c4d39fb67dc0140c6"> 301</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a8df21f3ef7412e6c4d39fb67dc0140c6">secp256k1_gej_add_var</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *b, <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *rzr) {</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="comment">/* Operations: 12 mul, 4 sqr, 2 normalize, 12 mul_int/add/negate */</span></div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> z22, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t;</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; <span class="keywordflow">if</span> (a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>) {</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(rzr == NULL);</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; *r = *b;</div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; }</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; <span class="keywordflow">if</span> (b-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>) {</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="keywordflow">if</span> (rzr != NULL) {</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(rzr, 1);</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; }</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; *r = *a;</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; }</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160;</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = 0;</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;z22, &amp;b-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;z12, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;u1, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;z22);</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;u2, &amp;b-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;z12);</div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s1, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;z22); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s1, &amp;s1, &amp;b-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s2, &amp;b-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;z12); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s2, &amp;s2, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;h, &amp;u1, 1); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;h, &amp;u2);</div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;i, &amp;s1, 1); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;i, &amp;s2);</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="field_8h.html#a67adb176b8e6efd2d2475a9d0a199e18">secp256k1_fe_normalizes_to_zero_var</a>(&amp;h)) {</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="field_8h.html#a67adb176b8e6efd2d2475a9d0a199e18">secp256k1_fe_normalizes_to_zero_var</a>(&amp;i)) {</div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; <a class="code" href="group__impl_8h.html#a033aa434a4d0838f649ad757dd44db46">secp256k1_gej_double_var</a>(r, a, rzr);</div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; <span class="keywordflow">if</span> (rzr != NULL) {</div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(rzr, 0);</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; }</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = 1;</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; }</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; }</div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;i2, &amp;i);</div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;h2, &amp;h);</div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;h3, &amp;h, &amp;h2);</div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;h, &amp;h, &amp;b-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160; <span class="keywordflow">if</span> (rzr != NULL) {</div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; *rzr = h;</div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; }</div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;h);</div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;t, &amp;u1, &amp;h2);</div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a> = t; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 2); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;h3); <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 3); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;i2);</div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 5); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;t); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;i);</div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;h3, &amp;h3, &amp;s1); <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;h3, &amp;h3, 1);</div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;h3);</div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160;}</div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160;</div><div class="line"><a name="l00354"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a4d0338f50b08d082caa32f8e72707b55"> 354</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a4d0338f50b08d082caa32f8e72707b55">secp256k1_gej_add_ge_var</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *b, <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *rzr) {</div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160; <span class="comment">/* 8 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */</span></div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> z12, u1, u2, s1, s2, h, i, i2, h2, h3, t;</div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; <span class="keywordflow">if</span> (a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>) {</div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(rzr == NULL);</div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160; <a class="code" href="group__impl_8h.html#ad5f813e26afb239f03e83f0e61e05498">secp256k1_gej_set_ge</a>(r, b);</div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; }</div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160; <span class="keywordflow">if</span> (b-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a>) {</div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; <span class="keywordflow">if</span> (rzr != NULL) {</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(rzr, 1);</div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; }</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; *r = *a;</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160; }</div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = 0;</div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160;</div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;z12, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160; u1 = a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;u1);</div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;u2, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>, &amp;z12);</div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160; s1 = a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;s1);</div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s2, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, &amp;z12); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s2, &amp;s2, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>);</div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;h, &amp;u1, 1); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;h, &amp;u2);</div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;i, &amp;s1, 1); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;i, &amp;s2);</div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="field_8h.html#a67adb176b8e6efd2d2475a9d0a199e18">secp256k1_fe_normalizes_to_zero_var</a>(&amp;h)) {</div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="field_8h.html#a67adb176b8e6efd2d2475a9d0a199e18">secp256k1_fe_normalizes_to_zero_var</a>(&amp;i)) {</div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160; <a class="code" href="group__impl_8h.html#a033aa434a4d0838f649ad757dd44db46">secp256k1_gej_double_var</a>(r, a, rzr);</div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; <span class="keywordflow">if</span> (rzr != NULL) {</div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(rzr, 0);</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160; }</div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = 1;</div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; }</div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; }</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;i2, &amp;i);</div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;h2, &amp;h);</div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;h3, &amp;h, &amp;h2);</div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160; <span class="keywordflow">if</span> (rzr != NULL) {</div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160; *rzr = h;</div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; }</div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;h);</div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;t, &amp;u1, &amp;h2);</div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a> = t; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 2); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;h3); <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 3); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;i2);</div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 5); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;t); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;i);</div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;h3, &amp;h3, &amp;s1); <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;h3, &amp;h3, 1);</div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;h3);</div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160;}</div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160;</div><div class="line"><a name="l00403"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a180d4e54e906f101ce0f1e74563ce5f6"> 403</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a180d4e54e906f101ce0f1e74563ce5f6">secp256k1_gej_add_zinv_var</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *b, <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *bzinv) {</div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160; <span class="comment">/* 9 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */</span></div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> az, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t;</div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160;</div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160; <span class="keywordflow">if</span> (b-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a>) {</div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; *r = *a;</div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160; }</div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160; <span class="keywordflow">if</span> (a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>) {</div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> bzinv2, bzinv3;</div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = b-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a>;</div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;bzinv2, bzinv);</div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;bzinv3, &amp;bzinv2, bzinv);</div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>, &amp;bzinv2);</div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, &amp;bzinv3);</div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; <a class="code" href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, 1);</div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; }</div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = 0;</div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160;</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;az, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, bzinv);</div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160;</div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;z12, &amp;az);</div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; u1 = a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;u1);</div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;u2, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>, &amp;z12);</div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; s1 = a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;s1);</div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s2, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, &amp;z12); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s2, &amp;s2, &amp;az);</div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;h, &amp;u1, 1); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;h, &amp;u2);</div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;i, &amp;s1, 1); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;i, &amp;s2);</div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="field_8h.html#a67adb176b8e6efd2d2475a9d0a199e18">secp256k1_fe_normalizes_to_zero_var</a>(&amp;h)) {</div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="field_8h.html#a67adb176b8e6efd2d2475a9d0a199e18">secp256k1_fe_normalizes_to_zero_var</a>(&amp;i)) {</div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; <a class="code" href="group__impl_8h.html#a033aa434a4d0838f649ad757dd44db46">secp256k1_gej_double_var</a>(r, a, NULL);</div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = 1;</div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; }</div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160; }</div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;i2, &amp;i);</div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;h2, &amp;h);</div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;h3, &amp;h, &amp;h2);</div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a> = a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;h);</div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;t, &amp;u1, &amp;h2);</div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a> = t; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 2); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;h3); <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 3); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;i2);</div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 5); <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;t); <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;i);</div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;h3, &amp;h3, &amp;s1); <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;h3, &amp;h3, 1);</div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;h3);</div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160;}</div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160;</div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160;</div><div class="line"><a name="l00460"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a586b55d5921edcd68799f584c0a3c58d"> 460</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a586b55d5921edcd68799f584c0a3c58d">secp256k1_gej_add_ge</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *b) {</div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; <span class="comment">/* Operations: 7 mul, 5 sqr, 4 normalize, 21 mul_int/add/negate/cmov */</span></div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> fe_1 = <a class="code" href="field__10x26_8h.html#a8c00ba3d97ea0d9b0d461463e890de15">SECP256K1_FE_CONST</a>(0, 0, 0, 0, 0, 0, 0, 1);</div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> zz, u1, u2, s1, s2, t, tt, <a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>, <a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>, q, rr;</div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> m_alt, rr_alt;</div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; <span class="keywordtype">int</span> infinity, degenerate;</div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160; <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(!b-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a>);</div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160; <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> == 0 || a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> == 1);</div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160;</div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;zz, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>); <span class="comment">/* z = Z1^2 */</span></div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; u1 = a-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;u1); <span class="comment">/* u1 = U1 = X1*Z2^2 (1) */</span></div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;u2, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>, &amp;zz); <span class="comment">/* u2 = U2 = X2*Z1^2 (1) */</span></div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; s1 = a-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;s1); <span class="comment">/* s1 = S1 = Y1*Z2^3 (1) */</span></div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s2, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, &amp;zz); <span class="comment">/* s2 = Y2*Z1^2 (1) */</span></div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;s2, &amp;s2, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>); <span class="comment">/* s2 = S2 = Y2*Z1^3 (1) */</span></div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; t = u1; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;t, &amp;u2); <span class="comment">/* t = T = U1+U2 (2) */</span></div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; <a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a> = s1; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;<a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>, &amp;s2); <span class="comment">/* m = M = S1+S2 (2) */</span></div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;rr, &amp;t); <span class="comment">/* rr = T^2 (1) */</span></div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;m_alt, &amp;u2, 1); <span class="comment">/* Malt = -X2*Z1^2 */</span></div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;tt, &amp;u1, &amp;m_alt); <span class="comment">/* tt = -U1*U2 (2) */</span></div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;rr, &amp;tt); <span class="comment">/* rr = R = T^2-U1*U2 (3) */</span></div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160; degenerate = <a class="code" href="field_8h.html#ac91a9780fb4f20634c2d5040e9f44936">secp256k1_fe_normalizes_to_zero</a>(&amp;<a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>) &amp;</div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160; <a class="code" href="field_8h.html#ac91a9780fb4f20634c2d5040e9f44936">secp256k1_fe_normalizes_to_zero</a>(&amp;rr);</div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160; <span class="comment">/* This only occurs when y1 == -y2 and x1^3 == x2^3, but x1 != x2.</span></div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160;<span class="comment"> * This means either x1 == beta*x2 or beta*x1 == x2, where beta is</span></div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160;<span class="comment"> * a nontrivial cube root of one. In either case, an alternate</span></div><div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160;<span class="comment"> * non-indeterminate expression for lambda is (y1 - y2)/(x1 - x2),</span></div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160;<span class="comment"> * so we set R/M equal to this. */</span></div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160; rr_alt = s1;</div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;rr_alt, 2); <span class="comment">/* rr = Y1*Z2^3 - Y2*Z1^3 (2) */</span></div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;m_alt, &amp;u1); <span class="comment">/* Malt = X1*Z2^2 - X2*Z1^2 */</span></div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160;</div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <a class="code" href="field_8h.html#a3e9ecf6eef0181f8f086611253f6776f">secp256k1_fe_cmov</a>(&amp;rr_alt, &amp;rr, !degenerate);</div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; <a class="code" href="field_8h.html#a3e9ecf6eef0181f8f086611253f6776f">secp256k1_fe_cmov</a>(&amp;m_alt, &amp;<a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>, !degenerate);</div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; <span class="comment">/* Now Ralt / Malt = lambda and is guaranteed not to be 0/0.</span></div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160;<span class="comment"> * From here on out Ralt and Malt represent the numerator</span></div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160;<span class="comment"> * and denominator of lambda; R and M represent the explicit</span></div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160;<span class="comment"> * expressions x1^2 + x2^2 + x1x2 and y1 + y2. */</span></div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>, &amp;m_alt); <span class="comment">/* n = Malt^2 (1) */</span></div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;q, &amp;<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>, &amp;t); <span class="comment">/* q = Q = T*Malt^2 (1) */</span></div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160; <span class="comment">/* These two lines use the observation that either M == Malt or M == 0,</span></div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160;<span class="comment"> * so M^3 * Malt is either Malt^4 (which is computed by squaring), or</span></div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160;<span class="comment"> * zero (which is &quot;computed&quot; by cmov). So the cost is one squaring</span></div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160;<span class="comment"> * versus two multiplications. */</span></div><div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>, &amp;<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>);</div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160; <a class="code" href="field_8h.html#a3e9ecf6eef0181f8f086611253f6776f">secp256k1_fe_cmov</a>(&amp;<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>, &amp;<a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>, degenerate); <span class="comment">/* n = M^3 * Malt (2) */</span></div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;t, &amp;rr_alt); <span class="comment">/* t = Ralt^2 (1) */</span></div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;m_alt); <span class="comment">/* r-&gt;z = Malt*Z (1) */</span></div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160; infinity = <a class="code" href="field_8h.html#ac91a9780fb4f20634c2d5040e9f44936">secp256k1_fe_normalizes_to_zero</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>) * (1 - a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>);</div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, 2); <span class="comment">/* r-&gt;z = Z3 = 2*Malt*Z (2) */</span></div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;q, &amp;q, 1); <span class="comment">/* q = -Q (2) */</span></div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;t, &amp;q); <span class="comment">/* t = Ralt^2-Q (3) */</span></div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;t);</div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a> = t; <span class="comment">/* r-&gt;x = Ralt^2-Q (1) */</span></div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;t, 2); <span class="comment">/* t = 2*x3 (2) */</span></div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;t, &amp;q); <span class="comment">/* t = 2*x3 - Q: (4) */</span></div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;t, &amp;t, &amp;rr_alt); <span class="comment">/* t = Ralt*(2*x3 - Q) (1) */</span></div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160; <a class="code" href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a>(&amp;t, &amp;<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>); <span class="comment">/* t = Ralt*(2*x3 - Q) + M^3*Malt (3) */</span></div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160; <a class="code" href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;t, 3); <span class="comment">/* r-&gt;y = Ralt*(Q - 2x3) - M^3*Malt (4) */</span></div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160; <a class="code" href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>);</div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, 4); <span class="comment">/* r-&gt;x = X3 = 4*(Ralt^2-Q) */</span></div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160; <a class="code" href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, 4); <span class="comment">/* r-&gt;y = Y3 = 4*Ralt*(Q - 2x3) - 4*M^3*Malt (4) */</span></div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160;</div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160; <a class="code" href="field_8h.html#a3e9ecf6eef0181f8f086611253f6776f">secp256k1_fe_cmov</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>, a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>);</div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160; <a class="code" href="field_8h.html#a3e9ecf6eef0181f8f086611253f6776f">secp256k1_fe_cmov</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;b-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>);</div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160; <a class="code" href="field_8h.html#a3e9ecf6eef0181f8f086611253f6776f">secp256k1_fe_cmov</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;fe_1, a-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a>);</div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160; r-&gt;<a class="code" href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">infinity</a> = infinity;</div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160;}</div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160;</div><div class="line"><a name="l00582"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a9ca39d1f8a0d1d833dc682f0fc318137"> 582</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a9ca39d1f8a0d1d833dc682f0fc318137">secp256k1_gej_rescale</a>(<a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> *s) {</div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160; <span class="comment">/* Operations: 4 mul, 1 sqr */</span></div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> zz;</div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(!<a class="code" href="field_8h.html#a619ec4805df6cc54d70e6682ceebd098">secp256k1_fe_is_zero</a>(s));</div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160; <a class="code" href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a>(&amp;zz, s);</div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">x</a>, &amp;zz); <span class="comment">/* r-&gt;x *= s^2 */</span></div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;zz);</div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">y</a>, s); <span class="comment">/* r-&gt;y *= s^3 */</span></div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">z</a>, s); <span class="comment">/* r-&gt;z *= s */</span></div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160;}</div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160;</div><div class="line"><a name="l00593"></a><span class="lineno"><a class="line" href="group__impl_8h.html#ad6499ae629f998e50d8614869ee3c67f"> 593</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#ad6499ae629f998e50d8614869ee3c67f">secp256k1_ge_to_storage</a>(<a class="code" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *a) {</div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> x, y;</div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(!a-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a>);</div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; x = a-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>;</div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; <a class="code" href="field_8h.html#a8e925e94d5a7330d2ae68f6642d0c7b9">secp256k1_fe_normalize</a>(&amp;x);</div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; y = a-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>;</div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160; <a class="code" href="field_8h.html#a8e925e94d5a7330d2ae68f6642d0c7b9">secp256k1_fe_normalize</a>(&amp;y);</div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160; <a class="code" href="field_8h.html#ab2813c5c17c63e222d5a15a60f239b12">secp256k1_fe_to_storage</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge__storage.html#abace3c7f244d8e7e42ac1b66a071371b">x</a>, &amp;x);</div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160; <a class="code" href="field_8h.html#ab2813c5c17c63e222d5a15a60f239b12">secp256k1_fe_to_storage</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge__storage.html#af0b13f3e06135a94484cc6f6dd4ef3cc">y</a>, &amp;y);</div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160;}</div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160;</div><div class="line"><a name="l00604"></a><span class="lineno"><a class="line" href="group__impl_8h.html#a8c1e7f328284d9ba56404bb8d99bf765"> 604</a></span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#a8c1e7f328284d9ba56404bb8d99bf765">secp256k1_ge_from_storage</a>(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *a) {</div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160; <a class="code" href="field_8h.html#a644783b01d20445b5b2f3c9c2abfbae3">secp256k1_fe_from_storage</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__ge__storage.html#abace3c7f244d8e7e42ac1b66a071371b">x</a>);</div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160; <a class="code" href="field_8h.html#a644783b01d20445b5b2f3c9c2abfbae3">secp256k1_fe_from_storage</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">y</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__ge__storage.html#af0b13f3e06135a94484cc6f6dd4ef3cc">y</a>);</div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160; r-&gt;<a class="code" href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">infinity</a> = 0;</div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160;}</div><div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160;</div><div class="line"><a name="l00610"></a><span class="lineno"><a class="line" href="group__impl_8h.html#ae6d54bcae540118ce4190f457db78ca8"> 610</a></span>&#160;<span class="keyword">static</span> <a class="code" href="secp256k1_8h.html#a7ddc487fd46aee88f21cabedb7268b1e">SECP256K1_INLINE</a> <span class="keywordtype">void</span> <a class="code" href="group__impl_8h.html#ae6d54bcae540118ce4190f457db78ca8">secp256k1_ge_storage_cmov</a>(<a class="code" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *a, <span class="keywordtype">int</span> flag) {</div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160; <a class="code" href="field_8h.html#ae9d61c6568f3a63bcea9146c056b18dc">secp256k1_fe_storage_cmov</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge__storage.html#abace3c7f244d8e7e42ac1b66a071371b">x</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__ge__storage.html#abace3c7f244d8e7e42ac1b66a071371b">x</a>, flag);</div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160; <a class="code" href="field_8h.html#ae9d61c6568f3a63bcea9146c056b18dc">secp256k1_fe_storage_cmov</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge__storage.html#af0b13f3e06135a94484cc6f6dd4ef3cc">y</a>, &amp;a-&gt;<a class="code" href="structsecp256k1__ge__storage.html#af0b13f3e06135a94484cc6f6dd4ef3cc">y</a>, flag);</div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160;}</div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160;</div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160;<span class="preprocessor">#ifdef USE_ENDOMORPHISM</span></div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> secp256k1_ge_mul_lambda(<a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__ge.html">secp256k1_ge</a> *a) {</div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structsecp256k1__fe.html">secp256k1_fe</a> beta = <a class="code" href="field__10x26_8h.html#a8c00ba3d97ea0d9b0d461463e890de15">SECP256K1_FE_CONST</a>(</div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160; 0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul,</div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160; 0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul</div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160; );</div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160; *r = *a;</div><div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160; <a class="code" href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a>(&amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>, &amp;r-&gt;<a class="code" href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">x</a>, &amp;beta);</div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160;}</div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160;</div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="secp256k1_2src_2util_8h_html_aca8ac5ae73fd966db106de59160a178b"><div class="ttname"><a href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a></div><div class="ttdeci">#define VERIFY_CHECK(cond)</div><div class="ttdef"><b>Definition:</b> <a href="secp256k1_2src_2util_8h_source.html#l00064">util.h:64</a></div></div>
<div class="ttc" id="structsecp256k1__fe_html"><div class="ttname"><a href="structsecp256k1__fe.html">secp256k1_fe</a></div><div class="ttdef"><b>Definition:</b> <a href="field__10x26_8h_source.html#l00012">field_10x26.h:12</a></div></div>
<div class="ttc" id="field__10x26__impl_8h_html_aa213f05a02544f894a8829f672b6e4ea"><div class="ttname"><a href="field__10x26__impl_8h.html#aa213f05a02544f894a8829f672b6e4ea">secp256k1_fe_clear</a></div><div class="ttdeci">static SECP256K1_INLINE void secp256k1_fe_clear(secp256k1_fe *a)</div><div class="ttdef"><b>Definition:</b> <a href="field__10x26__impl_8h_source.html#l00299">field_10x26_impl.h:299</a></div></div>
<div class="ttc" id="field_8h_html_a619ec4805df6cc54d70e6682ceebd098"><div class="ttname"><a href="field_8h.html#a619ec4805df6cc54d70e6682ceebd098">secp256k1_fe_is_zero</a></div><div class="ttdeci">static int secp256k1_fe_is_zero(const secp256k1_fe *a)</div></div>
<div class="ttc" id="field_8h_html_a542b97d2574d9687c563d002587cf9a2"><div class="ttname"><a href="field_8h.html#a542b97d2574d9687c563d002587cf9a2">secp256k1_fe_mul</a></div><div class="ttdeci">static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe *SECP256K1_RESTRICT b)</div></div>
<div class="ttc" id="field_8h_html_a2d45c987537eadb2923c93aa3af9db71"><div class="ttname"><a href="field_8h.html#a2d45c987537eadb2923c93aa3af9db71">secp256k1_fe_normalize_var</a></div><div class="ttdeci">static void secp256k1_fe_normalize_var(secp256k1_fe *r)</div></div>
<div class="ttc" id="structsecp256k1__gej_html_a7d2451c89411d62628ac466eb28c8ff5"><div class="ttname"><a href="structsecp256k1__gej.html#a7d2451c89411d62628ac466eb28c8ff5">secp256k1_gej::x</a></div><div class="ttdeci">secp256k1_fe x</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00025">group.h:25</a></div></div>
<div class="ttc" id="group__impl_8h_html_a9ca39d1f8a0d1d833dc682f0fc318137"><div class="ttname"><a href="group__impl_8h.html#a9ca39d1f8a0d1d833dc682f0fc318137">secp256k1_gej_rescale</a></div><div class="ttdeci">static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *s)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00582">group_impl.h:582</a></div></div>
<div class="ttc" id="group_8h_html"><div class="ttname"><a href="group_8h.html">group.h</a></div></div>
<div class="ttc" id="group__impl_8h_html_aea803cf52c0f33c2cb3bfb82d5790d71"><div class="ttname"><a href="group__impl_8h.html#aea803cf52c0f33c2cb3bfb82d5790d71">secp256k1_ge_set_gej_var</a></div><div class="ttdeci">static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00065">group_impl.h:65</a></div></div>
<div class="ttc" id="group__impl_8h_html_abcb34de0cfdf82a125e059f4f98de1d9"><div class="ttname"><a href="group__impl_8h.html#abcb34de0cfdf82a125e059f4f98de1d9">secp256k1_ge_neg</a></div><div class="ttdeci">static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00046">group_impl.h:46</a></div></div>
<div class="ttc" id="group__impl_8h_html_a033aa434a4d0838f649ad757dd44db46"><div class="ttname"><a href="group__impl_8h.html#a033aa434a4d0838f649ad757dd44db46">secp256k1_gej_double_var</a></div><div class="ttdeci">static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00253">group_impl.h:253</a></div></div>
<div class="ttc" id="field_8h_html_a4543ff08a66fc870acd56c921f2b30f7"><div class="ttname"><a href="field_8h.html#a4543ff08a66fc870acd56c921f2b30f7">secp256k1_fe_negate</a></div><div class="ttdeci">static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m)</div></div>
<div class="ttc" id="field_8h_html_a644783b01d20445b5b2f3c9c2abfbae3"><div class="ttname"><a href="field_8h.html#a644783b01d20445b5b2f3c9c2abfbae3">secp256k1_fe_from_storage</a></div><div class="ttdeci">static void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a)</div></div>
<div class="ttc" id="group__impl_8h_html_accf4e481cd660b1df01b4b90f5d28bb4"><div class="ttname"><a href="group__impl_8h.html#accf4e481cd660b1df01b4b90f5d28bb4">secp256k1_gej_double_nonzero</a></div><div class="ttdeci">static SECP256K1_INLINE void secp256k1_gej_double_nonzero(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00296">group_impl.h:296</a></div></div>
<div class="ttc" id="group__impl_8h_html_a4d0338f50b08d082caa32f8e72707b55"><div class="ttname"><a href="group__impl_8h.html#a4d0338f50b08d082caa32f8e72707b55">secp256k1_gej_add_ge_var</a></div><div class="ttdeci">static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, secp256k1_fe *rzr)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00354">group_impl.h:354</a></div></div>
<div class="ttc" id="group__impl_8h_html_a2454dfbe1e75eba118d2c0a4184a9acc"><div class="ttname"><a href="group__impl_8h.html#a2454dfbe1e75eba118d2c0a4184a9acc">secp256k1_gej_clear</a></div><div class="ttdeci">static void secp256k1_gej_clear(secp256k1_gej *r)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00155">group_impl.h:155</a></div></div>
<div class="ttc" id="field_8h_html_ae9d61c6568f3a63bcea9146c056b18dc"><div class="ttname"><a href="field_8h.html#ae9d61c6568f3a63bcea9146c056b18dc">secp256k1_fe_storage_cmov</a></div><div class="ttdeci">static void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag)</div></div>
<div class="ttc" id="field_8h_html_a3e9ecf6eef0181f8f086611253f6776f"><div class="ttname"><a href="field_8h.html#a3e9ecf6eef0181f8f086611253f6776f">secp256k1_fe_cmov</a></div><div class="ttdeci">static void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag)</div></div>
<div class="ttc" id="group__impl_8h_html_a767d4255b822bcd84f84d9b440b3af86"><div class="ttname"><a href="group__impl_8h.html#a767d4255b822bcd84f84d9b440b3af86">secp256k1_ge_set_xquad_var</a></div><div class="ttdeci">static int secp256k1_ge_set_xquad_var(secp256k1_ge *r, const secp256k1_fe *x)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00168">group_impl.h:168</a></div></div>
<div class="ttc" id="structsecp256k1__ge__storage_html_af0b13f3e06135a94484cc6f6dd4ef3cc"><div class="ttname"><a href="structsecp256k1__ge__storage.html#af0b13f3e06135a94484cc6f6dd4ef3cc">secp256k1_ge_storage::y</a></div><div class="ttdeci">secp256k1_fe_storage y</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00036">group.h:36</a></div></div>
<div class="ttc" id="group__impl_8h_html_aa511eebf8cd7419763f06555ed4fb62d"><div class="ttname"><a href="group__impl_8h.html#aa511eebf8cd7419763f06555ed4fb62d">secp256k1_ge_set_gej</a></div><div class="ttdeci">static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00052">group_impl.h:52</a></div></div>
<div class="ttc" id="structsecp256k1__gej_html"><div class="ttname"><a href="structsecp256k1__gej.html">secp256k1_gej</a></div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00024">group.h:24</a></div></div>
<div class="ttc" id="field_8h_html_a4bfba9980b6d6960ad623f1ddbbc547e"><div class="ttname"><a href="field_8h.html#a4bfba9980b6d6960ad623f1ddbbc547e">secp256k1_fe_set_int</a></div><div class="ttdeci">static void secp256k1_fe_set_int(secp256k1_fe *r, int a)</div></div>
<div class="ttc" id="group__impl_8h_html_a1cf9611464711ed63bde94d92ecc70de"><div class="ttname"><a href="group__impl_8h.html#a1cf9611464711ed63bde94d92ecc70de">secp256k1_ge_set_table_gej_var</a></div><div class="ttdeci">static void secp256k1_ge_set_table_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zr)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00107">group_impl.h:107</a></div></div>
<div class="ttc" id="field_8h_html_ab2813c5c17c63e222d5a15a60f239b12"><div class="ttname"><a href="field_8h.html#ab2813c5c17c63e222d5a15a60f239b12">secp256k1_fe_to_storage</a></div><div class="ttdeci">static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a)</div></div>
<div class="ttc" id="field__10x26_8h_html_a8c00ba3d97ea0d9b0d461463e890de15"><div class="ttname"><a href="field__10x26_8h.html#a8c00ba3d97ea0d9b0d461463e890de15">SECP256K1_FE_CONST</a></div><div class="ttdeci">#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0)</div><div class="ttdef"><b>Definition:</b> <a href="field__10x26_8h_source.html#l00038">field_10x26.h:38</a></div></div>
<div class="ttc" id="group__impl_8h_html_aaf14c34acab0a279530f58c7e7d50749"><div class="ttname"><a href="group__impl_8h.html#aaf14c34acab0a279530f58c7e7d50749">secp256k1_gej_is_valid_var</a></div><div class="ttdeci">static int secp256k1_gej_is_valid_var(const secp256k1_gej *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00219">group_impl.h:219</a></div></div>
<div class="ttc" id="field_8h_html_a7512f80b60598e4af89c004890880fc7"><div class="ttname"><a href="field_8h.html#a7512f80b60598e4af89c004890880fc7">secp256k1_fe_add</a></div><div class="ttdeci">static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a)</div></div>
<div class="ttc" id="field_8h_html_a3f7b55267ed0d5135530283da6314416"><div class="ttname"><a href="field_8h.html#a3f7b55267ed0d5135530283da6314416">secp256k1_fe_mul_int</a></div><div class="ttdeci">static void secp256k1_fe_mul_int(secp256k1_fe *r, int a)</div></div>
<div class="ttc" id="group__impl_8h_html_a586b55d5921edcd68799f584c0a3c58d"><div class="ttname"><a href="group__impl_8h.html#a586b55d5921edcd68799f584c0a3c58d">secp256k1_gej_add_ge</a></div><div class="ttdeci">static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00460">group_impl.h:460</a></div></div>
<div class="ttc" id="group__impl_8h_html_ac83592db46af97faf7ba9b9a39a1f6ff"><div class="ttname"><a href="group__impl_8h.html#ac83592db46af97faf7ba9b9a39a1f6ff">secp256k1_ge_is_infinity</a></div><div class="ttdeci">static int secp256k1_ge_is_infinity(const secp256k1_ge *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00042">group_impl.h:42</a></div></div>
<div class="ttc" id="field_8h_html_a4657d3eea1cc59c7a20cc2d19663bf02"><div class="ttname"><a href="field_8h.html#a4657d3eea1cc59c7a20cc2d19663bf02">secp256k1_fe_is_odd</a></div><div class="ttdeci">static int secp256k1_fe_is_odd(const secp256k1_fe *a)</div></div>
<div class="ttc" id="namespacelinearize-data_html_af01cfbce273b138c21938509627f15aa"><div class="ttname"><a href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">linearize-data.m</a></div><div class="ttdeci">m</div><div class="ttdef"><b>Definition:</b> <a href="linearize-data_8py_source.html#l00260">linearize-data.py:260</a></div></div>
<div class="ttc" id="group__impl_8h_html_ad5f813e26afb239f03e83f0e61e05498"><div class="ttname"><a href="group__impl_8h.html#ad5f813e26afb239f03e83f0e61e05498">secp256k1_gej_set_ge</a></div><div class="ttdeci">static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00191">group_impl.h:191</a></div></div>
<div class="ttc" id="group__impl_8h_html_aa32fc177f081f16d5979045d3632cf8b"><div class="ttname"><a href="group__impl_8h.html#aa32fc177f081f16d5979045d3632cf8b">secp256k1_gej_eq_x_var</a></div><div class="ttdeci">static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00198">group_impl.h:198</a></div></div>
<div class="ttc" id="group__impl_8h_html_ac2075a99877abe469ea60a119fe68e6c"><div class="ttname"><a href="group__impl_8h.html#ac2075a99877abe469ea60a119fe68e6c">secp256k1_ge_const_g</a></div><div class="ttdeci">static const secp256k1_ge secp256k1_ge_const_g</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00019">group_impl.h:19</a></div></div>
<div class="ttc" id="group__impl_8h_html_a8c1e7f328284d9ba56404bb8d99bf765"><div class="ttname"><a href="group__impl_8h.html#a8c1e7f328284d9ba56404bb8d99bf765">secp256k1_ge_from_storage</a></div><div class="ttdeci">static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storage *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00604">group_impl.h:604</a></div></div>
<div class="ttc" id="group__impl_8h_html_a34ab3d1a9a0a7ff0ed1cedff9db5f73c"><div class="ttname"><a href="group__impl_8h.html#a34ab3d1a9a0a7ff0ed1cedff9db5f73c">secp256k1_ge_set_xy</a></div><div class="ttdeci">static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00036">group_impl.h:36</a></div></div>
<div class="ttc" id="namespacefix-copyright-headers_html_aed10e06fbf20b2e50f73ff2d61f59e45"><div class="ttname"><a href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">fix-copyright-headers.n</a></div><div class="ttdeci">int n</div><div class="ttdef"><b>Definition:</b> <a href="fix-copyright-headers_8py_source.html#l00046">fix-copyright-headers.py:46</a></div></div>
<div class="ttc" id="group__impl_8h_html_a2c6b24a2db08260d89e891eab7035b2c"><div class="ttname"><a href="group__impl_8h.html#a2c6b24a2db08260d89e891eab7035b2c">secp256k1_gej_set_infinity</a></div><div class="ttdeci">static void secp256k1_gej_set_infinity(secp256k1_gej *r)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00148">group_impl.h:148</a></div></div>
<div class="ttc" id="group__impl_8h_html_af9194949a7aaf18aceab1dee73fe4027"><div class="ttname"><a href="group__impl_8h.html#af9194949a7aaf18aceab1dee73fe4027">secp256k1_gej_neg</a></div><div class="ttdeci">static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00206">group_impl.h:206</a></div></div>
<div class="ttc" id="secp256k1_8h_html_a7ddc487fd46aee88f21cabedb7268b1e"><div class="ttname"><a href="secp256k1_8h.html#a7ddc487fd46aee88f21cabedb7268b1e">SECP256K1_INLINE</a></div><div class="ttdeci">#define SECP256K1_INLINE</div><div class="ttdef"><b>Definition:</b> <a href="secp256k1_8h_source.html#l00116">secp256k1.h:116</a></div></div>
<div class="ttc" id="structsecp256k1__ge__storage_html"><div class="ttname"><a href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a></div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00034">group.h:34</a></div></div>
<div class="ttc" id="group__impl_8h_html_ada58b0cf328a74cfdd1f8b35083668a1"><div class="ttname"><a href="group__impl_8h.html#ada58b0cf328a74cfdd1f8b35083668a1">secp256k1_ge_set_all_gej_var</a></div><div class="ttdeci">static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_callback *cb)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00081">group_impl.h:81</a></div></div>
<div class="ttc" id="structsecp256k1__gej_html_ab3ec8168caf27aa3a092d512eaadaad9"><div class="ttname"><a href="structsecp256k1__gej.html#ab3ec8168caf27aa3a092d512eaadaad9">secp256k1_gej::infinity</a></div><div class="ttdeci">int infinity</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00028">group.h:28</a></div></div>
<div class="ttc" id="structsecp256k1__ge__storage_html_abace3c7f244d8e7e42ac1b66a071371b"><div class="ttname"><a href="structsecp256k1__ge__storage.html#abace3c7f244d8e7e42ac1b66a071371b">secp256k1_ge_storage::x</a></div><div class="ttdeci">secp256k1_fe_storage x</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00035">group.h:35</a></div></div>
<div class="ttc" id="field_8h_html_adeed9551ce946187f98c5e3d789e9575"><div class="ttname"><a href="field_8h.html#adeed9551ce946187f98c5e3d789e9575">secp256k1_fe_sqrt_var</a></div><div class="ttdeci">static int secp256k1_fe_sqrt_var(secp256k1_fe *r, const secp256k1_fe *a)</div></div>
<div class="ttc" id="group__impl_8h_html_a3c3d9154b093bb4ed48ba55e4c28a0b5"><div class="ttname"><a href="group__impl_8h.html#a3c3d9154b093bb4ed48ba55e4c28a0b5">secp256k1_ge_set_xo_var</a></div><div class="ttdeci">static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00179">group_impl.h:179</a></div></div>
<div class="ttc" id="structsecp256k1__ge_html"><div class="ttname"><a href="structsecp256k1__ge.html">secp256k1_ge</a></div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00014">group.h:14</a></div></div>
<div class="ttc" id="structsecp256k1__ge_html_a3c04a97b606c82ea87e55d4a06f06b6e"><div class="ttname"><a href="structsecp256k1__ge.html#a3c04a97b606c82ea87e55d4a06f06b6e">secp256k1_ge::x</a></div><div class="ttdeci">secp256k1_fe x</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00015">group.h:15</a></div></div>
<div class="ttc" id="field_8h_html_a728a757d8960973603be6f3b2aa13f4e"><div class="ttname"><a href="field_8h.html#a728a757d8960973603be6f3b2aa13f4e">secp256k1_fe_inv_all_var</a></div><div class="ttdeci">static void secp256k1_fe_inv_all_var(size_t len, secp256k1_fe *r, const secp256k1_fe *a)</div></div>
<div class="ttc" id="field_8h_html_a0aaec7df2f708a451a8e1f41a943d8b1"><div class="ttname"><a href="field_8h.html#a0aaec7df2f708a451a8e1f41a943d8b1">secp256k1_fe_normalize_weak</a></div><div class="ttdeci">static void secp256k1_fe_normalize_weak(secp256k1_fe *r)</div></div>
<div class="ttc" id="field_8h_html_ac91a9780fb4f20634c2d5040e9f44936"><div class="ttname"><a href="field_8h.html#ac91a9780fb4f20634c2d5040e9f44936">secp256k1_fe_normalizes_to_zero</a></div><div class="ttdeci">static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r)</div></div>
<div class="ttc" id="structsecp256k1__ge_html_a1cdb35fe7abf6f17c08e4375eeb26628"><div class="ttname"><a href="structsecp256k1__ge.html#a1cdb35fe7abf6f17c08e4375eeb26628">secp256k1_ge::infinity</a></div><div class="ttdeci">int infinity</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00017">group.h:17</a></div></div>
<div class="ttc" id="field_8h_html_a6cbe550ca5eb35e683b1c8d68d8de26b"><div class="ttname"><a href="field_8h.html#a6cbe550ca5eb35e683b1c8d68d8de26b">secp256k1_fe_sqr</a></div><div class="ttdeci">static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a)</div></div>
<div class="ttc" id="group_8h_html_adb0cb248ca6d0aabe3a82423233e6ce3"><div class="ttname"><a href="group_8h.html#adb0cb248ca6d0aabe3a82423233e6ce3">SECP256K1_GE_CONST</a></div><div class="ttdeci">#define SECP256K1_GE_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p)</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00020">group.h:20</a></div></div>
<div class="ttc" id="group__impl_8h_html_ae6d54bcae540118ce4190f457db78ca8"><div class="ttname"><a href="group__impl_8h.html#ae6d54bcae540118ce4190f457db78ca8">secp256k1_ge_storage_cmov</a></div><div class="ttdeci">static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00610">group_impl.h:610</a></div></div>
<div class="ttc" id="group__impl_8h_html_a180d4e54e906f101ce0f1e74563ce5f6"><div class="ttname"><a href="group__impl_8h.html#a180d4e54e906f101ce0f1e74563ce5f6">secp256k1_gej_add_zinv_var</a></div><div class="ttdeci">static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00403">group_impl.h:403</a></div></div>
<div class="ttc" id="field_8h_html_a16ab4d0dd8bcb5da1b888288063014f3"><div class="ttname"><a href="field_8h.html#a16ab4d0dd8bcb5da1b888288063014f3">secp256k1_fe_equal_var</a></div><div class="ttdeci">static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b)</div></div>
<div class="ttc" id="group__impl_8h_html_ad6499ae629f998e50d8614869ee3c67f"><div class="ttname"><a href="group__impl_8h.html#ad6499ae629f998e50d8614869ee3c67f">secp256k1_ge_to_storage</a></div><div class="ttdeci">static void secp256k1_ge_to_storage(secp256k1_ge_storage *r, const secp256k1_ge *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00593">group_impl.h:593</a></div></div>
<div class="ttc" id="group__impl_8h_html_a33786d5853579c92d46fac51f6a40093"><div class="ttname"><a href="group__impl_8h.html#a33786d5853579c92d46fac51f6a40093">secp256k1_gej_is_infinity</a></div><div class="ttdeci">static int secp256k1_gej_is_infinity(const secp256k1_gej *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00215">group_impl.h:215</a></div></div>
<div class="ttc" id="group__impl_8h_html_a6492f6aad16e545239c0ec52780d2e1f"><div class="ttname"><a href="group__impl_8h.html#a6492f6aad16e545239c0ec52780d2e1f">secp256k1_ge_set_gej_zinv</a></div><div class="ttdeci">static void secp256k1_ge_set_gej_zinv(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zi)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00026">group_impl.h:26</a></div></div>
<div class="ttc" id="structsecp256k1__gej_html_ae41776408dba32cbe28b5e345b5f2286"><div class="ttname"><a href="structsecp256k1__gej.html#ae41776408dba32cbe28b5e345b5f2286">secp256k1_gej::z</a></div><div class="ttdeci">secp256k1_fe z</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00027">group.h:27</a></div></div>
<div class="ttc" id="field_8h_html_a8e925e94d5a7330d2ae68f6642d0c7b9"><div class="ttname"><a href="field_8h.html#a8e925e94d5a7330d2ae68f6642d0c7b9">secp256k1_fe_normalize</a></div><div class="ttdeci">static void secp256k1_fe_normalize(secp256k1_fe *r)</div></div>
<div class="ttc" id="field_8h_html"><div class="ttname"><a href="field_8h.html">field.h</a></div></div>
<div class="ttc" id="num_8h_html"><div class="ttname"><a href="num_8h.html">num.h</a></div></div>
<div class="ttc" id="group__impl_8h_html_a83600b0c4d8e95a8b2e730b4e2f207dc"><div class="ttname"><a href="group__impl_8h.html#a83600b0c4d8e95a8b2e730b4e2f207dc">secp256k1_ge_is_valid_var</a></div><div class="ttdeci">static int secp256k1_ge_is_valid_var(const secp256k1_ge *a)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00239">group_impl.h:239</a></div></div>
<div class="ttc" id="tests_8c_html_ad43c3812e6d13e0518d9f8b8f463ffcf"><div class="ttname"><a href="tests_8c.html#ad43c3812e6d13e0518d9f8b8f463ffcf">count</a></div><div class="ttdeci">static int count</div><div class="ttdef"><b>Definition:</b> <a href="tests_8c_source.html#l00041">tests.c:41</a></div></div>
<div class="ttc" id="group__impl_8h_html_a5391d63ab98be9202d5f14611133fe35"><div class="ttname"><a href="group__impl_8h.html#a5391d63ab98be9202d5f14611133fe35">secp256k1_ge_globalz_set_table_gej</a></div><div class="ttdeci">static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00125">group_impl.h:125</a></div></div>
<div class="ttc" id="structsecp256k1__gej_html_a29d5184060ad790d85a0c89a13820e0d"><div class="ttname"><a href="structsecp256k1__gej.html#a29d5184060ad790d85a0c89a13820e0d">secp256k1_gej::y</a></div><div class="ttdeci">secp256k1_fe y</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00026">group.h:26</a></div></div>
<div class="ttc" id="structsecp256k1__ge_html_a604295983a1f4aa6e8b5b0f1e46f9ee0"><div class="ttname"><a href="structsecp256k1__ge.html#a604295983a1f4aa6e8b5b0f1e46f9ee0">secp256k1_ge::y</a></div><div class="ttdeci">secp256k1_fe y</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00016">group.h:16</a></div></div>
<div class="ttc" id="field_8h_html_a0090ecfb39b34a8965cc16ae1feca5aa"><div class="ttname"><a href="field_8h.html#a0090ecfb39b34a8965cc16ae1feca5aa">secp256k1_fe_inv_var</a></div><div class="ttdeci">static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a)</div></div>
<div class="ttc" id="structsecp256k1__callback_html"><div class="ttname"><a href="structsecp256k1__callback.html">secp256k1_callback</a></div><div class="ttdef"><b>Definition:</b> <a href="secp256k1_2src_2util_8h_source.html#l00018">util.h:18</a></div></div>
<div class="ttc" id="secp256k1_2src_2util_8h_html_a20790114658c559e5048a38694708c3e"><div class="ttname"><a href="secp256k1_2src_2util_8h.html#a20790114658c559e5048a38694708c3e">checked_malloc</a></div><div class="ttdeci">static SECP256K1_INLINE void * checked_malloc(const secp256k1_callback *cb, size_t size)</div><div class="ttdef"><b>Definition:</b> <a href="secp256k1_2src_2util_8h_source.html#l00068">util.h:68</a></div></div>
<div class="ttc" id="field_8h_html_a3a071aa04ce0d88003b059c0a8ee0c0e"><div class="ttname"><a href="field_8h.html#a3a071aa04ce0d88003b059c0a8ee0c0e">secp256k1_fe_inv</a></div><div class="ttdeci">static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a)</div></div>
<div class="ttc" id="group__impl_8h_html_a8df21f3ef7412e6c4d39fb67dc0140c6"><div class="ttname"><a href="group__impl_8h.html#a8df21f3ef7412e6c4d39fb67dc0140c6">secp256k1_gej_add_var</a></div><div class="ttdeci">static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00301">group_impl.h:301</a></div></div>
<div class="ttc" id="group__impl_8h_html_a34793cf48794f089bb28597d1a9f23b2"><div class="ttname"><a href="group__impl_8h.html#a34793cf48794f089bb28597d1a9f23b2">secp256k1_ge_clear</a></div><div class="ttdeci">static void secp256k1_ge_clear(secp256k1_ge *r)</div><div class="ttdef"><b>Definition:</b> <a href="group__impl_8h_source.html#l00162">group_impl.h:162</a></div></div>
<div class="ttc" id="field_8h_html_a67adb176b8e6efd2d2475a9d0a199e18"><div class="ttname"><a href="field_8h.html#a67adb176b8e6efd2d2475a9d0a199e18">secp256k1_fe_normalizes_to_zero_var</a></div><div class="ttdeci">static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r)</div></div>
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