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<a href="scalar__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> <span class="comment">/**********************************************************************</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (c) 2014 Pieter Wuille *</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <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> <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> <span class="comment"> **********************************************************************/</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> </div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#ifndef _SECP256K1_SCALAR_IMPL_H_</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#define _SECP256K1_SCALAR_IMPL_H_</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include <string.h></span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> </div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include "<a class="code" href="group_8h.html">group.h</a>"</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include "<a class="code" href="scalar_8h.html">scalar.h</a>"</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#if defined HAVE_CONFIG_H</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include "<a class="code" href="libsecp256k1-config_8h.html">libsecp256k1-config.h</a>"</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> </div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#if defined(USE_SCALAR_4X64)</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "<a class="code" href="scalar__4x64__impl_8h.html">scalar_4x64_impl.h</a>"</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#elif defined(USE_SCALAR_8X32)</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "<a class="code" href="scalar__8x32__impl_8h.html">scalar_8x32_impl.h</a>"</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#else</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#error "Please select scalar implementation"</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#ifndef USE_NUM_NONE</span></div><div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="scalar__impl_8h.html#a75c8cc0159d53eefaf86a296ba882420"> 28</a></span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="scalar__impl_8h.html#a75c8cc0159d53eefaf86a296ba882420">secp256k1_scalar_get_num</a>(<a class="code" href="structsecp256k1__num.html">secp256k1_num</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *a) {</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> c[32];</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <a class="code" href="scalar_8h.html#a4fa08f8af5a23f505b44c9ef1bec1831">secp256k1_scalar_get_b32</a>(c, a);</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="num_8h.html#a4a7f500a93d330df44bbe3adda388868">secp256k1_num_set_bin</a>(r, c, 32);</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> }</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div><div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="scalar__impl_8h.html#a54e25150a9e06c01bcc4518b68aa288c"> 35</a></span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="scalar__impl_8h.html#a54e25150a9e06c01bcc4518b68aa288c">secp256k1_scalar_order_get_num</a>(<a class="code" href="structsecp256k1__num.html">secp256k1_num</a> *r) {</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> order[32] = {</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  0xBF,0xD2,0x5E,0x8C,0xD0,0x36,0x41,0x41</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  };</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="num_8h.html#a4a7f500a93d330df44bbe3adda388868">secp256k1_num_set_bin</a>(r, order, 32);</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> }</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div><div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="scalar__impl_8h.html#a6e0ddc9f18b11d179a94d5fac2d455fd"> 46</a></span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="scalar__impl_8h.html#a6e0ddc9f18b11d179a94d5fac2d455fd">secp256k1_scalar_inverse</a>(<a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *x) {</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *t;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordtype">int</span> i;</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="comment">/* First compute x ^ (2^N - 1) for some values of N. */</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> x2, x3, x4, x6, x7, x8, x15, x30, x60, x120, x127;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x2, x);</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x2, &x2, x);</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x3, &x2);</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x3, &x3, x);</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x4, &x3);</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x4, &x4, x);</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> </div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x6, &x4);</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x6, &x6);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x6, &x6, &x2);</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x7, &x6);</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x7, &x7, x);</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span> </div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x8, &x7);</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x8, &x8, x);</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x15, &x8);</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">for</span> (i = 0; i < 6; i++) {</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x15, &x15);</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x15, &x15, &x7);</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x30, &x15);</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">for</span> (i = 0; i < 14; i++) {</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x30, &x30);</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x30, &x30, &x15);</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x60, &x30);</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">for</span> (i = 0; i < 29; i++) {</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x60, &x60);</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  }</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x60, &x60, &x30);</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x120, &x60);</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">for</span> (i = 0; i < 59; i++) {</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x120, &x120);</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x120, &x120, &x60);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x127, &x120);</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">for</span> (i = 0; i < 6; i++) {</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(&x127, &x127);</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  }</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&x127, &x127, &x7);</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">/* Then accumulate the final result (t starts at x127). */</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  t = &x127;</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  }</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">for</span> (i = 0; i < 4; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x3); <span class="comment">/* 111 */</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  }</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  }</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">for</span> (i = 0; i < 4; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  }</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x3); <span class="comment">/* 111 */</span></div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">for</span> (i = 0; i < 3; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  }</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x2); <span class="comment">/* 11 */</span></div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">for</span> (i = 0; i < 4; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  }</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x3); <span class="comment">/* 111 */</span></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">for</span> (i = 0; i < 5; i++) { <span class="comment">/* 00 */</span></div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  }</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x3); <span class="comment">/* 111 */</span></div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">for</span> (i = 0; i < 4; i++) { <span class="comment">/* 00 */</span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x2); <span class="comment">/* 11 */</span></div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  }</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">for</span> (i = 0; i < 5; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  }</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x4); <span class="comment">/* 1111 */</span></div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  }</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">for</span> (i = 0; i < 3; i++) { <span class="comment">/* 00 */</span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  }</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">for</span> (i = 0; i < 4; i++) { <span class="comment">/* 000 */</span></div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  }</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  }</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordflow">for</span> (i = 0; i < 10; i++) { <span class="comment">/* 0000000 */</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  }</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x3); <span class="comment">/* 111 */</span></div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">for</span> (i = 0; i < 4; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  }</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x3); <span class="comment">/* 111 */</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordflow">for</span> (i = 0; i < 9; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  }</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x8); <span class="comment">/* 11111111 */</span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  }</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">for</span> (i = 0; i < 3; i++) { <span class="comment">/* 00 */</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  }</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">for</span> (i = 0; i < 3; i++) { <span class="comment">/* 00 */</span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  }</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordflow">for</span> (i = 0; i < 5; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  }</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x4); <span class="comment">/* 1111 */</span></div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  }</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">for</span> (i = 0; i < 5; i++) { <span class="comment">/* 000 */</span></div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  }</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x2); <span class="comment">/* 11 */</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordflow">for</span> (i = 0; i < 4; i++) { <span class="comment">/* 00 */</span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  }</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x2); <span class="comment">/* 11 */</span></div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">for</span> (i = 0; i < 2; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  }</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">for</span> (i = 0; i < 8; i++) { <span class="comment">/* 000000 */</span></div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  }</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x2); <span class="comment">/* 11 */</span></div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordflow">for</span> (i = 0; i < 3; i++) { <span class="comment">/* 0 */</span></div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  }</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, &x2); <span class="comment">/* 11 */</span></div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">for</span> (i = 0; i < 3; i++) { <span class="comment">/* 00 */</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  }</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">for</span> (i = 0; i < 6; i++) { <span class="comment">/* 00000 */</span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  }</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(t, t, x); <span class="comment">/* 1 */</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">for</span> (i = 0; i < 8; i++) { <span class="comment">/* 00 */</span></div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a>(t, t);</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  }</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(r, t, &x6); <span class="comment">/* 111111 */</span></div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span> }</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span> </div><div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="scalar__impl_8h.html#a0e628418acb44ca68349e4f79e4c0df2"> 237</a></span> <a class="code" href="secp256k1_8h.html#a7ddc487fd46aee88f21cabedb7268b1e">SECP256K1_INLINE</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="scalar__impl_8h.html#a0e628418acb44ca68349e4f79e4c0df2">secp256k1_scalar_is_even</a>(<span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *a) {</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="comment">/* d[0] is present and is the lowest word for all representations */</span></div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keywordflow">return</span> !(a-><a class="code" href="structsecp256k1__scalar.html#a4aba1d263d205acdd537ed9a995393cd">d</a>[0] & 1);</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span> }</div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span> </div><div class="line"><a name="l00242"></a><span class="lineno"><a class="line" href="scalar__impl_8h.html#a4a61fe7aed51d7852d651a676e14b0bb"> 242</a></span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="scalar__impl_8h.html#a4a61fe7aed51d7852d651a676e14b0bb">secp256k1_scalar_inverse_var</a>(<a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *x) {</div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="preprocessor">#if defined(USE_SCALAR_INV_BUILTIN)</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <a class="code" href="scalar__impl_8h.html#a6e0ddc9f18b11d179a94d5fac2d455fd">secp256k1_scalar_inverse</a>(r, x);</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="preprocessor">#elif defined(USE_SCALAR_INV_NUM)</span></div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> b[32];</div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="structsecp256k1__num.html">secp256k1_num</a> <a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>, <a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>;</div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> t = *x;</div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <a class="code" href="scalar_8h.html#a4fa08f8af5a23f505b44c9ef1bec1831">secp256k1_scalar_get_b32</a>(b, &t);</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <a class="code" href="num_8h.html#a4a7f500a93d330df44bbe3adda388868">secp256k1_num_set_bin</a>(&<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>, b, 32);</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <a class="code" href="scalar__impl_8h.html#a54e25150a9e06c01bcc4518b68aa288c">secp256k1_scalar_order_get_num</a>(&<a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>);</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <a class="code" href="num_8h.html#a96a66a341ddf203e7dbf85d1cca1c178">secp256k1_num_mod_inverse</a>(&<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>, &<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>, &<a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>);</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <a class="code" href="num_8h.html#aada7ead84b86388284323f31b9d05bca">secp256k1_num_get_bin</a>(b, 32, &<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>);</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="scalar_8h.html#a25cc2d45ae1d1765d07c3313cdf46fa0">secp256k1_scalar_set_b32</a>(r, b, NULL);</div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="comment">/* Verify that the inverse was computed correctly, without GMP code. */</span></div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&t, &t, r);</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <a class="code" href="secp256k1_2src_2util_8h.html#aba1590ff86288c886c47dc8a27b30467">CHECK</a>(<a class="code" href="scalar_8h.html#aa1118b3273d3c9d15541f29373b93e97">secp256k1_scalar_is_one</a>(&t));</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span> <span class="preprocessor">#else</span></div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="preprocessor">#error "Please select scalar inverse implementation"</span></div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span> }</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span> </div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="preprocessor">#ifdef USE_ENDOMORPHISM</span></div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span> <span class="keyword">static</span> <span class="keywordtype">void</span> secp256k1_scalar_split_lambda(<a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *r1, <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *r2, <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *a) {</div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> c1, c2;</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> minus_lambda = <a class="code" href="scalar__4x64_8h.html#aacfea2d1debc522154567ac4ac7b4fc9">SECP256K1_SCALAR_CONST</a>(</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  0xAC9C52B3UL, 0x3FA3CF1FUL, 0x5AD9E3FDUL, 0x77ED9BA4UL,</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  0xA880B9FCUL, 0x8EC739C2UL, 0xE0CFC810UL, 0xB51283CFUL</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  );</div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> minus_b1 = <a class="code" href="scalar__4x64_8h.html#aacfea2d1debc522154567ac4ac7b4fc9">SECP256K1_SCALAR_CONST</a>(</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  0xE4437ED6UL, 0x010E8828UL, 0x6F547FA9UL, 0x0ABFE4C3UL</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  );</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> minus_b2 = <a class="code" href="scalar__4x64_8h.html#aacfea2d1debc522154567ac4ac7b4fc9">SECP256K1_SCALAR_CONST</a>(</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL,</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  0x8A280AC5UL, 0x0774346DUL, 0xD765CDA8UL, 0x3DB1562CUL</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  );</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> g1 = <a class="code" href="scalar__4x64_8h.html#aacfea2d1debc522154567ac4ac7b4fc9">SECP256K1_SCALAR_CONST</a>(</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00003086UL,</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  0xD221A7D4UL, 0x6BCDE86CUL, 0x90E49284UL, 0xEB153DABUL</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  );</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> g2 = <a class="code" href="scalar__4x64_8h.html#aacfea2d1debc522154567ac4ac7b4fc9">SECP256K1_SCALAR_CONST</a>(</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  0x00000000UL, 0x00000000UL, 0x00000000UL, 0x0000E443UL,</div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  0x7ED6010EUL, 0x88286F54UL, 0x7FA90ABFUL, 0xE4C42212UL</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  );</div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(r1 != a);</div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <a class="code" href="secp256k1_2src_2util_8h.html#aca8ac5ae73fd966db106de59160a178b">VERIFY_CHECK</a>(r2 != a);</div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="comment">/* these _var calls are constant time since the shift amount is constant */</span></div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <a class="code" href="scalar_8h.html#a8d19fb29bd4c9d863572eba08e97af20">secp256k1_scalar_mul_shift_var</a>(&c1, a, &g1, 272);</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <a class="code" href="scalar_8h.html#a8d19fb29bd4c9d863572eba08e97af20">secp256k1_scalar_mul_shift_var</a>(&c2, a, &g2, 272);</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&c1, &c1, &minus_b1);</div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(&c2, &c2, &minus_b2);</div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <a class="code" href="scalar_8h.html#a83257652850276cd74c7cdd1f9444d9c">secp256k1_scalar_add</a>(r2, &c1, &c2);</div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <a class="code" href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a>(r1, r2, &minus_lambda);</div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <a class="code" href="scalar_8h.html#a83257652850276cd74c7cdd1f9444d9c">secp256k1_scalar_add</a>(r1, r1, a);</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span> }</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span> </div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="scalar_8h_html_a89db15f705c8eafcd10c08181523acd0"><div class="ttname"><a href="scalar_8h.html#a89db15f705c8eafcd10c08181523acd0">secp256k1_scalar_mul</a></div><div class="ttdeci">static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b)</div></div>
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<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>
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<div class="ttc" id="num_8h_html_a4a7f500a93d330df44bbe3adda388868"><div class="ttname"><a href="num_8h.html#a4a7f500a93d330df44bbe3adda388868">secp256k1_num_set_bin</a></div><div class="ttdeci">static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsigned int alen)</div></div>
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<div class="ttc" id="libsecp256k1-config_8h_html"><div class="ttname"><a href="libsecp256k1-config_8h.html">libsecp256k1-config.h</a></div></div>
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<div class="ttc" id="scalar__impl_8h_html_a6e0ddc9f18b11d179a94d5fac2d455fd"><div class="ttname"><a href="scalar__impl_8h.html#a6e0ddc9f18b11d179a94d5fac2d455fd">secp256k1_scalar_inverse</a></div><div class="ttdeci">static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x)</div><div class="ttdef"><b>Definition:</b> <a href="scalar__impl_8h_source.html#l00046">scalar_impl.h:46</a></div></div>
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<div class="ttc" id="group_8h_html"><div class="ttname"><a href="group_8h.html">group.h</a></div></div>
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<div class="ttc" id="scalar__8x32__impl_8h_html"><div class="ttname"><a href="scalar__8x32__impl_8h.html">scalar_8x32_impl.h</a></div></div>
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<div class="ttc" id="scalar__4x64__impl_8h_html"><div class="ttname"><a href="scalar__4x64__impl_8h.html">scalar_4x64_impl.h</a></div></div>
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<div class="ttc" id="scalar_8h_html_a25cc2d45ae1d1765d07c3313cdf46fa0"><div class="ttname"><a href="scalar_8h.html#a25cc2d45ae1d1765d07c3313cdf46fa0">secp256k1_scalar_set_b32</a></div><div class="ttdeci">static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *bin, int *overflow)</div></div>
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<div class="ttc" id="num_8h_html_a96a66a341ddf203e7dbf85d1cca1c178"><div class="ttname"><a href="num_8h.html#a96a66a341ddf203e7dbf85d1cca1c178">secp256k1_num_mod_inverse</a></div><div class="ttdeci">static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m)</div></div>
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<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>
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<div class="ttc" id="scalar_8h_html_a8d19fb29bd4c9d863572eba08e97af20"><div class="ttname"><a href="scalar_8h.html#a8d19fb29bd4c9d863572eba08e97af20">secp256k1_scalar_mul_shift_var</a></div><div class="ttdeci">static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b, unsigned int shift)</div></div>
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<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>
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<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>
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<div class="ttc" id="structsecp256k1__num_html"><div class="ttname"><a href="structsecp256k1__num.html">secp256k1_num</a></div><div class="ttdef"><b>Definition:</b> <a href="num__gmp_8h_source.html#l00014">num_gmp.h:14</a></div></div>
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<div class="ttc" id="scalar__impl_8h_html_a4a61fe7aed51d7852d651a676e14b0bb"><div class="ttname"><a href="scalar__impl_8h.html#a4a61fe7aed51d7852d651a676e14b0bb">secp256k1_scalar_inverse_var</a></div><div class="ttdeci">static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x)</div><div class="ttdef"><b>Definition:</b> <a href="scalar__impl_8h_source.html#l00242">scalar_impl.h:242</a></div></div>
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<div class="ttc" id="scalar__4x64_8h_html_aacfea2d1debc522154567ac4ac7b4fc9"><div class="ttname"><a href="scalar__4x64_8h.html#aacfea2d1debc522154567ac4ac7b4fc9">SECP256K1_SCALAR_CONST</a></div><div class="ttdeci">#define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0)</div><div class="ttdef"><b>Definition:</b> <a href="scalar__4x64_8h_source.html#l00017">scalar_4x64.h:17</a></div></div>
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<div class="ttc" id="scalar_8h_html_a2e65618baa17c59e89149a9f7e632f69"><div class="ttname"><a href="scalar_8h.html#a2e65618baa17c59e89149a9f7e632f69">secp256k1_scalar_sqr</a></div><div class="ttdeci">static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a)</div></div>
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<div class="ttc" id="scalar_8h_html"><div class="ttname"><a href="scalar_8h.html">scalar.h</a></div></div>
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<div class="ttc" id="secp256k1_2src_2util_8h_html_aba1590ff86288c886c47dc8a27b30467"><div class="ttname"><a href="secp256k1_2src_2util_8h.html#aba1590ff86288c886c47dc8a27b30467">CHECK</a></div><div class="ttdeci">#define CHECK(cond)</div><div class="ttdef"><b>Definition:</b> <a href="secp256k1_2src_2util_8h_source.html#l00052">util.h:52</a></div></div>
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<div class="ttc" id="structsecp256k1__scalar_html"><div class="ttname"><a href="structsecp256k1__scalar.html">secp256k1_scalar</a></div><div class="ttdef"><b>Definition:</b> <a href="scalar__4x64_8h_source.html#l00013">scalar_4x64.h:13</a></div></div>
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<div class="ttc" id="scalar_8h_html_a4fa08f8af5a23f505b44c9ef1bec1831"><div class="ttname"><a href="scalar_8h.html#a4fa08f8af5a23f505b44c9ef1bec1831">secp256k1_scalar_get_b32</a></div><div class="ttdeci">static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar *a)</div></div>
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<div class="ttc" id="structsecp256k1__scalar_html_a4aba1d263d205acdd537ed9a995393cd"><div class="ttname"><a href="structsecp256k1__scalar.html#a4aba1d263d205acdd537ed9a995393cd">secp256k1_scalar::d</a></div><div class="ttdeci">uint64_t d[4]</div><div class="ttdef"><b>Definition:</b> <a href="scalar__4x64_8h_source.html#l00014">scalar_4x64.h:14</a></div></div>
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<div class="ttc" id="scalar_8h_html_a83257652850276cd74c7cdd1f9444d9c"><div class="ttname"><a href="scalar_8h.html#a83257652850276cd74c7cdd1f9444d9c">secp256k1_scalar_add</a></div><div class="ttdeci">static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b)</div></div>
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<div class="ttc" id="scalar__impl_8h_html_a75c8cc0159d53eefaf86a296ba882420"><div class="ttname"><a href="scalar__impl_8h.html#a75c8cc0159d53eefaf86a296ba882420">secp256k1_scalar_get_num</a></div><div class="ttdeci">static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a)</div><div class="ttdef"><b>Definition:</b> <a href="scalar__impl_8h_source.html#l00028">scalar_impl.h:28</a></div></div>
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<div class="ttc" id="scalar__impl_8h_html_a54e25150a9e06c01bcc4518b68aa288c"><div class="ttname"><a href="scalar__impl_8h.html#a54e25150a9e06c01bcc4518b68aa288c">secp256k1_scalar_order_get_num</a></div><div class="ttdeci">static void secp256k1_scalar_order_get_num(secp256k1_num *r)</div><div class="ttdef"><b>Definition:</b> <a href="scalar__impl_8h_source.html#l00035">scalar_impl.h:35</a></div></div>
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<div class="ttc" id="scalar__impl_8h_html_a0e628418acb44ca68349e4f79e4c0df2"><div class="ttname"><a href="scalar__impl_8h.html#a0e628418acb44ca68349e4f79e4c0df2">secp256k1_scalar_is_even</a></div><div class="ttdeci">static SECP256K1_INLINE int secp256k1_scalar_is_even(const secp256k1_scalar *a)</div><div class="ttdef"><b>Definition:</b> <a href="scalar__impl_8h_source.html#l00237">scalar_impl.h:237</a></div></div>
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<div class="ttc" id="num_8h_html_aada7ead84b86388284323f31b9d05bca"><div class="ttname"><a href="num_8h.html#aada7ead84b86388284323f31b9d05bca">secp256k1_num_get_bin</a></div><div class="ttdeci">static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num *a)</div></div>
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<div class="ttc" id="scalar_8h_html_aa1118b3273d3c9d15541f29373b93e97"><div class="ttname"><a href="scalar_8h.html#aa1118b3273d3c9d15541f29373b93e97">secp256k1_scalar_is_one</a></div><div class="ttdeci">static int secp256k1_scalar_is_one(const secp256k1_scalar *a)</div></div>
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