1 |
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2 | const globalThis = typeof window !== 'undefined' ? window : typeof global !== 'undefined' ? global : typeof self !== 'undefined' ? self : {};
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3 |
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4 | import { c as createCommonjsModule, m as minimalisticAssert, i as inherits_browser, u as utils, b as common, d as common$1, _ as _224, e as _256, f as _384, g as _512, r as ripemd } from './openpgp.mjs';
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5 | import bn from './bn.mjs';
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6 |
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7 | var utils_1 = createCommonjsModule(function (module, exports) {
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8 |
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9 | var utils = exports;
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10 |
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11 | function toArray(msg, enc) {
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12 | if (Array.isArray(msg))
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13 | return msg.slice();
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14 | if (!msg)
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15 | return [];
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16 | var res = [];
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17 | if (typeof msg !== 'string') {
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18 | for (var i = 0; i < msg.length; i++)
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19 | res[i] = msg[i] | 0;
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20 | return res;
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21 | }
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22 | if (enc === 'hex') {
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23 | msg = msg.replace(/[^a-z0-9]+/ig, '');
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24 | if (msg.length % 2 !== 0)
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25 | msg = '0' + msg;
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26 | for (var i = 0; i < msg.length; i += 2)
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27 | res.push(parseInt(msg[i] + msg[i + 1], 16));
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28 | } else {
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29 | for (var i = 0; i < msg.length; i++) {
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30 | var c = msg.charCodeAt(i);
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31 | var hi = c >> 8;
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32 | var lo = c & 0xff;
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33 | if (hi)
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34 | res.push(hi, lo);
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35 | else
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36 | res.push(lo);
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37 | }
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38 | }
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39 | return res;
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40 | }
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41 | utils.toArray = toArray;
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42 |
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43 | function zero2(word) {
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44 | if (word.length === 1)
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45 | return '0' + word;
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46 | else
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47 | return word;
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48 | }
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49 | utils.zero2 = zero2;
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50 |
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51 | function toHex(msg) {
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52 | var res = '';
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53 | for (var i = 0; i < msg.length; i++)
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54 | res += zero2(msg[i].toString(16));
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55 | return res;
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56 | }
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57 | utils.toHex = toHex;
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58 |
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59 | utils.encode = function encode(arr, enc) {
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60 | if (enc === 'hex')
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61 | return toHex(arr);
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62 | else
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63 | return arr;
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64 | };
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65 | });
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66 |
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67 | var utils_1$1 = createCommonjsModule(function (module, exports) {
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68 |
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69 | var utils = exports;
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70 |
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71 |
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72 |
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73 |
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74 | utils.assert = minimalisticAssert;
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75 | utils.toArray = utils_1.toArray;
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76 | utils.zero2 = utils_1.zero2;
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77 | utils.toHex = utils_1.toHex;
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78 | utils.encode = utils_1.encode;
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79 |
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80 |
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81 | function getNAF(num, w) {
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82 | var naf = [];
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83 | var ws = 1 << (w + 1);
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84 | var k = num.clone();
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85 | while (k.cmpn(1) >= 0) {
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86 | var z;
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87 | if (k.isOdd()) {
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88 | var mod = k.andln(ws - 1);
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89 | if (mod > (ws >> 1) - 1)
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90 | z = (ws >> 1) - mod;
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91 | else
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92 | z = mod;
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93 | k.isubn(z);
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94 | } else {
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95 | z = 0;
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96 | }
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97 | naf.push(z);
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98 |
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99 |
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100 | var shift = (k.cmpn(0) !== 0 && k.andln(ws - 1) === 0) ? (w + 1) : 1;
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101 | for (var i = 1; i < shift; i++)
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102 | naf.push(0);
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103 | k.iushrn(shift);
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104 | }
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105 |
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106 | return naf;
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107 | }
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108 | utils.getNAF = getNAF;
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109 |
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110 |
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111 | function getJSF(k1, k2) {
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112 | var jsf = [
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113 | [],
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114 | []
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115 | ];
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116 |
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117 | k1 = k1.clone();
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118 | k2 = k2.clone();
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119 | var d1 = 0;
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120 | var d2 = 0;
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121 | while (k1.cmpn(-d1) > 0 || k2.cmpn(-d2) > 0) {
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122 |
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123 |
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124 | var m14 = (k1.andln(3) + d1) & 3;
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125 | var m24 = (k2.andln(3) + d2) & 3;
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126 | if (m14 === 3)
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127 | m14 = -1;
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128 | if (m24 === 3)
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129 | m24 = -1;
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130 | var u1;
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131 | if ((m14 & 1) === 0) {
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132 | u1 = 0;
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133 | } else {
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134 | var m8 = (k1.andln(7) + d1) & 7;
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135 | if ((m8 === 3 || m8 === 5) && m24 === 2)
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136 | u1 = -m14;
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137 | else
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138 | u1 = m14;
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139 | }
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140 | jsf[0].push(u1);
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141 |
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142 | var u2;
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143 | if ((m24 & 1) === 0) {
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144 | u2 = 0;
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145 | } else {
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146 | var m8 = (k2.andln(7) + d2) & 7;
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147 | if ((m8 === 3 || m8 === 5) && m14 === 2)
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148 | u2 = -m24;
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149 | else
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150 | u2 = m24;
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151 | }
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152 | jsf[1].push(u2);
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153 |
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154 |
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155 | if (2 * d1 === u1 + 1)
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156 | d1 = 1 - d1;
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157 | if (2 * d2 === u2 + 1)
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158 | d2 = 1 - d2;
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159 | k1.iushrn(1);
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160 | k2.iushrn(1);
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161 | }
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162 |
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163 | return jsf;
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164 | }
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165 | utils.getJSF = getJSF;
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166 |
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167 | function cachedProperty(obj, name, computer) {
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168 | var key = '_' + name;
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169 | obj.prototype[name] = function cachedProperty() {
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170 | return this[key] !== undefined ? this[key] :
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171 | this[key] = computer.call(this);
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172 | };
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173 | }
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174 | utils.cachedProperty = cachedProperty;
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175 |
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176 | function parseBytes(bytes) {
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177 | return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') :
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178 | bytes;
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179 | }
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180 | utils.parseBytes = parseBytes;
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181 |
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182 | function intFromLE(bytes) {
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183 | return new bn(bytes, 'hex', 'le');
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184 | }
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185 | utils.intFromLE = intFromLE;
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186 | });
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187 |
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188 | var r;
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189 |
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190 | var brorand = function rand(len) {
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191 | if (!r)
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192 | r = new Rand(null);
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193 |
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194 | return r.generate(len);
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195 | };
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196 |
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197 | function Rand(rand) {
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198 | this.rand = rand;
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199 | }
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200 | var Rand_1 = Rand;
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201 |
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202 | Rand.prototype.generate = function generate(len) {
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203 | return this._rand(len);
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204 | };
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205 |
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206 |
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207 | Rand.prototype._rand = function _rand(n) {
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208 | if (this.rand.getBytes)
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209 | return this.rand.getBytes(n);
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210 |
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211 | var res = new Uint8Array(n);
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212 | for (var i = 0; i < res.length; i++)
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213 | res[i] = this.rand.getByte();
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214 | return res;
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215 | };
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216 |
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217 | if (typeof self === 'object') {
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218 | if (self.crypto && self.crypto.getRandomValues) {
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219 |
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220 | Rand.prototype._rand = function _rand(n) {
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221 | var arr = new Uint8Array(n);
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222 | self.crypto.getRandomValues(arr);
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223 | return arr;
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224 | };
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225 | } else if (self.msCrypto && self.msCrypto.getRandomValues) {
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226 |
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227 | Rand.prototype._rand = function _rand(n) {
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228 | var arr = new Uint8Array(n);
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229 | self.msCrypto.getRandomValues(arr);
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230 | return arr;
|
231 | };
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232 |
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233 |
|
234 | } else if (typeof window === 'object') {
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235 |
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236 | Rand.prototype._rand = function() {
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237 | throw new Error('Not implemented yet');
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238 | };
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239 | }
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240 | } else {
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241 |
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242 | try {
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243 | var crypto = void('crypto');
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244 | if (typeof crypto.randomBytes !== 'function')
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245 | throw new Error('Not supported');
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246 |
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247 | Rand.prototype._rand = function _rand(n) {
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248 | return crypto.randomBytes(n);
|
249 | };
|
250 | } catch (e) {
|
251 | }
|
252 | }
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253 | brorand.Rand = Rand_1;
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254 |
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255 | var getNAF = utils_1$1.getNAF;
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256 | var getJSF = utils_1$1.getJSF;
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257 | var assert = utils_1$1.assert;
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258 |
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259 | function BaseCurve(type, conf) {
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260 | this.type = type;
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261 | this.p = new bn(conf.p, 16);
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262 |
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263 |
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264 | this.red = conf.prime ? bn.red(conf.prime) : bn.mont(this.p);
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265 |
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266 |
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267 | this.zero = new bn(0).toRed(this.red);
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268 | this.one = new bn(1).toRed(this.red);
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269 | this.two = new bn(2).toRed(this.red);
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270 |
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271 |
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272 | this.n = conf.n && new bn(conf.n, 16);
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273 | this.g = conf.g && this.pointFromJSON(conf.g, conf.gRed);
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274 |
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275 |
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276 | this._wnafT1 = new Array(4);
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277 | this._wnafT2 = new Array(4);
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278 | this._wnafT3 = new Array(4);
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279 | this._wnafT4 = new Array(4);
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280 |
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281 |
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282 | var adjustCount = this.n && this.p.div(this.n);
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283 | if (!adjustCount || adjustCount.cmpn(100) > 0) {
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284 | this.redN = null;
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285 | } else {
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286 | this._maxwellTrick = true;
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287 | this.redN = this.n.toRed(this.red);
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288 | }
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289 | }
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290 | var base = BaseCurve;
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291 |
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292 | BaseCurve.prototype.point = function point() {
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293 | throw new Error('Not implemented');
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294 | };
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295 |
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296 | BaseCurve.prototype.validate = function validate() {
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297 | throw new Error('Not implemented');
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298 | };
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299 |
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300 | BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) {
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301 | assert(p.precomputed);
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302 | var doubles = p._getDoubles();
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303 |
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304 | var naf = getNAF(k, 1);
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305 | var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1);
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306 | I /= 3;
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307 |
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308 |
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309 | var repr = [];
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310 | for (var j = 0; j < naf.length; j += doubles.step) {
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311 | var nafW = 0;
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312 | for (var k = j + doubles.step - 1; k >= j; k--)
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313 | nafW = (nafW << 1) + naf[k];
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314 | repr.push(nafW);
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315 | }
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316 |
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317 | var a = this.jpoint(null, null, null);
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318 | var b = this.jpoint(null, null, null);
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319 | for (var i = I; i > 0; i--) {
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320 | for (var j = 0; j < repr.length; j++) {
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321 | var nafW = repr[j];
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322 | if (nafW === i)
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323 | b = b.mixedAdd(doubles.points[j]);
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324 | else if (nafW === -i)
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325 | b = b.mixedAdd(doubles.points[j].neg());
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326 | }
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327 | a = a.add(b);
|
328 | }
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329 | return a.toP();
|
330 | };
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331 |
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332 | BaseCurve.prototype._wnafMul = function _wnafMul(p, k) {
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333 | var w = 4;
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334 |
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335 |
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336 | var nafPoints = p._getNAFPoints(w);
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337 | w = nafPoints.wnd;
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338 | var wnd = nafPoints.points;
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339 |
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340 |
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341 | var naf = getNAF(k, w);
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342 |
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343 |
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344 | var acc = this.jpoint(null, null, null);
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345 | for (var i = naf.length - 1; i >= 0; i--) {
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346 |
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347 | for (var k = 0; i >= 0 && naf[i] === 0; i--)
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348 | k++;
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349 | if (i >= 0)
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350 | k++;
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351 | acc = acc.dblp(k);
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352 |
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353 | if (i < 0)
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354 | break;
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355 | var z = naf[i];
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356 | assert(z !== 0);
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357 | if (p.type === 'affine') {
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358 |
|
359 | if (z > 0)
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360 | acc = acc.mixedAdd(wnd[(z - 1) >> 1]);
|
361 | else
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362 | acc = acc.mixedAdd(wnd[(-z - 1) >> 1].neg());
|
363 | } else {
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364 |
|
365 | if (z > 0)
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366 | acc = acc.add(wnd[(z - 1) >> 1]);
|
367 | else
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368 | acc = acc.add(wnd[(-z - 1) >> 1].neg());
|
369 | }
|
370 | }
|
371 | return p.type === 'affine' ? acc.toP() : acc;
|
372 | };
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373 |
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374 | BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW,
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375 | points,
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376 | coeffs,
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377 | len,
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378 | jacobianResult) {
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379 | var wndWidth = this._wnafT1;
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380 | var wnd = this._wnafT2;
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381 | var naf = this._wnafT3;
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382 |
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383 |
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384 | var max = 0;
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385 | for (var i = 0; i < len; i++) {
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386 | var p = points[i];
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387 | var nafPoints = p._getNAFPoints(defW);
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388 | wndWidth[i] = nafPoints.wnd;
|
389 | wnd[i] = nafPoints.points;
|
390 | }
|
391 |
|
392 |
|
393 | for (var i = len - 1; i >= 1; i -= 2) {
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394 | var a = i - 1;
|
395 | var b = i;
|
396 | if (wndWidth[a] !== 1 || wndWidth[b] !== 1) {
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397 | naf[a] = getNAF(coeffs[a], wndWidth[a]);
|
398 | naf[b] = getNAF(coeffs[b], wndWidth[b]);
|
399 | max = Math.max(naf[a].length, max);
|
400 | max = Math.max(naf[b].length, max);
|
401 | continue;
|
402 | }
|
403 |
|
404 | var comb = [
|
405 | points[a],
|
406 | null,
|
407 | null,
|
408 | points[b]
|
409 | ];
|
410 |
|
411 |
|
412 | if (points[a].y.cmp(points[b].y) === 0) {
|
413 | comb[1] = points[a].add(points[b]);
|
414 | comb[2] = points[a].toJ().mixedAdd(points[b].neg());
|
415 | } else if (points[a].y.cmp(points[b].y.redNeg()) === 0) {
|
416 | comb[1] = points[a].toJ().mixedAdd(points[b]);
|
417 | comb[2] = points[a].add(points[b].neg());
|
418 | } else {
|
419 | comb[1] = points[a].toJ().mixedAdd(points[b]);
|
420 | comb[2] = points[a].toJ().mixedAdd(points[b].neg());
|
421 | }
|
422 |
|
423 | var index = [
|
424 | -3,
|
425 | -1,
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426 | -5,
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427 | -7,
|
428 | 0,
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429 | 7,
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430 | 5,
|
431 | 1,
|
432 | 3
|
433 | ];
|
434 |
|
435 | var jsf = getJSF(coeffs[a], coeffs[b]);
|
436 | max = Math.max(jsf[0].length, max);
|
437 | naf[a] = new Array(max);
|
438 | naf[b] = new Array(max);
|
439 | for (var j = 0; j < max; j++) {
|
440 | var ja = jsf[0][j] | 0;
|
441 | var jb = jsf[1][j] | 0;
|
442 |
|
443 | naf[a][j] = index[(ja + 1) * 3 + (jb + 1)];
|
444 | naf[b][j] = 0;
|
445 | wnd[a] = comb;
|
446 | }
|
447 | }
|
448 |
|
449 | var acc = this.jpoint(null, null, null);
|
450 | var tmp = this._wnafT4;
|
451 | for (var i = max; i >= 0; i--) {
|
452 | var k = 0;
|
453 |
|
454 | while (i >= 0) {
|
455 | var zero = true;
|
456 | for (var j = 0; j < len; j++) {
|
457 | tmp[j] = naf[j][i] | 0;
|
458 | if (tmp[j] !== 0)
|
459 | zero = false;
|
460 | }
|
461 | if (!zero)
|
462 | break;
|
463 | k++;
|
464 | i--;
|
465 | }
|
466 | if (i >= 0)
|
467 | k++;
|
468 | acc = acc.dblp(k);
|
469 | if (i < 0)
|
470 | break;
|
471 |
|
472 | for (var j = 0; j < len; j++) {
|
473 | var z = tmp[j];
|
474 | var p;
|
475 | if (z === 0)
|
476 | continue;
|
477 | else if (z > 0)
|
478 | p = wnd[j][(z - 1) >> 1];
|
479 | else if (z < 0)
|
480 | p = wnd[j][(-z - 1) >> 1].neg();
|
481 |
|
482 | if (p.type === 'affine')
|
483 | acc = acc.mixedAdd(p);
|
484 | else
|
485 | acc = acc.add(p);
|
486 | }
|
487 | }
|
488 |
|
489 | for (var i = 0; i < len; i++)
|
490 | wnd[i] = null;
|
491 |
|
492 | if (jacobianResult)
|
493 | return acc;
|
494 | else
|
495 | return acc.toP();
|
496 | };
|
497 |
|
498 | function BasePoint(curve, type) {
|
499 | this.curve = curve;
|
500 | this.type = type;
|
501 | this.precomputed = null;
|
502 | }
|
503 | BaseCurve.BasePoint = BasePoint;
|
504 |
|
505 | BasePoint.prototype.eq = function eq(/*other*/) {
|
506 | throw new Error('Not implemented');
|
507 | };
|
508 |
|
509 | BasePoint.prototype.validate = function validate() {
|
510 | return this.curve.validate(this);
|
511 | };
|
512 |
|
513 | BaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) {
|
514 | bytes = utils_1$1.toArray(bytes, enc);
|
515 |
|
516 | var len = this.p.byteLength();
|
517 |
|
518 |
|
519 | if ((bytes[0] === 0x04 || bytes[0] === 0x06 || bytes[0] === 0x07) &&
|
520 | bytes.length - 1 === 2 * len) {
|
521 | if (bytes[0] === 0x06)
|
522 | assert(bytes[bytes.length - 1] % 2 === 0);
|
523 | else if (bytes[0] === 0x07)
|
524 | assert(bytes[bytes.length - 1] % 2 === 1);
|
525 |
|
526 | var res = this.point(bytes.slice(1, 1 + len),
|
527 | bytes.slice(1 + len, 1 + 2 * len));
|
528 |
|
529 | return res;
|
530 | } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) &&
|
531 | bytes.length - 1 === len) {
|
532 | return this.pointFromX(bytes.slice(1, 1 + len), bytes[0] === 0x03);
|
533 | }
|
534 | throw new Error('Unknown point format');
|
535 | };
|
536 |
|
537 | BasePoint.prototype.encodeCompressed = function encodeCompressed(enc) {
|
538 | return this.encode(enc, true);
|
539 | };
|
540 |
|
541 | BasePoint.prototype._encode = function _encode(compact) {
|
542 | var len = this.curve.p.byteLength();
|
543 | var x = this.getX().toArray('be', len);
|
544 |
|
545 | if (compact)
|
546 | return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x);
|
547 |
|
548 | return [ 0x04 ].concat(x, this.getY().toArray('be', len)) ;
|
549 | };
|
550 |
|
551 | BasePoint.prototype.encode = function encode(enc, compact) {
|
552 | return utils_1$1.encode(this._encode(compact), enc);
|
553 | };
|
554 |
|
555 | BasePoint.prototype.precompute = function precompute(power) {
|
556 | if (this.precomputed)
|
557 | return this;
|
558 |
|
559 | var precomputed = {
|
560 | doubles: null,
|
561 | naf: null,
|
562 | beta: null
|
563 | };
|
564 | precomputed.naf = this._getNAFPoints(8);
|
565 | precomputed.doubles = this._getDoubles(4, power);
|
566 | precomputed.beta = this._getBeta();
|
567 | this.precomputed = precomputed;
|
568 |
|
569 | return this;
|
570 | };
|
571 |
|
572 | BasePoint.prototype._hasDoubles = function _hasDoubles(k) {
|
573 | if (!this.precomputed)
|
574 | return false;
|
575 |
|
576 | var doubles = this.precomputed.doubles;
|
577 | if (!doubles)
|
578 | return false;
|
579 |
|
580 | return doubles.points.length >= Math.ceil((k.bitLength() + 1) / doubles.step);
|
581 | };
|
582 |
|
583 | BasePoint.prototype._getDoubles = function _getDoubles(step, power) {
|
584 | if (this.precomputed && this.precomputed.doubles)
|
585 | return this.precomputed.doubles;
|
586 |
|
587 | var doubles = [ this ];
|
588 | var acc = this;
|
589 | for (var i = 0; i < power; i += step) {
|
590 | for (var j = 0; j < step; j++)
|
591 | acc = acc.dbl();
|
592 | doubles.push(acc);
|
593 | }
|
594 | return {
|
595 | step: step,
|
596 | points: doubles
|
597 | };
|
598 | };
|
599 |
|
600 | BasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) {
|
601 | if (this.precomputed && this.precomputed.naf)
|
602 | return this.precomputed.naf;
|
603 |
|
604 | var res = [ this ];
|
605 | var max = (1 << wnd) - 1;
|
606 | var dbl = max === 1 ? null : this.dbl();
|
607 | for (var i = 1; i < max; i++)
|
608 | res[i] = res[i - 1].add(dbl);
|
609 | return {
|
610 | wnd: wnd,
|
611 | points: res
|
612 | };
|
613 | };
|
614 |
|
615 | BasePoint.prototype._getBeta = function _getBeta() {
|
616 | return null;
|
617 | };
|
618 |
|
619 | BasePoint.prototype.dblp = function dblp(k) {
|
620 | var r = this;
|
621 | for (var i = 0; i < k; i++)
|
622 | r = r.dbl();
|
623 | return r;
|
624 | };
|
625 |
|
626 | var assert$1 = utils_1$1.assert;
|
627 |
|
628 | function ShortCurve(conf) {
|
629 | base.call(this, 'short', conf);
|
630 |
|
631 | this.a = new bn(conf.a, 16).toRed(this.red);
|
632 | this.b = new bn(conf.b, 16).toRed(this.red);
|
633 | this.tinv = this.two.redInvm();
|
634 |
|
635 | this.zeroA = this.a.fromRed().cmpn(0) === 0;
|
636 | this.threeA = this.a.fromRed().sub(this.p).cmpn(-3) === 0;
|
637 |
|
638 |
|
639 | this.endo = this._getEndomorphism(conf);
|
640 | this._endoWnafT1 = new Array(4);
|
641 | this._endoWnafT2 = new Array(4);
|
642 | }
|
643 | inherits_browser(ShortCurve, base);
|
644 | var short_1 = ShortCurve;
|
645 |
|
646 | ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) {
|
647 |
|
648 | if (!this.zeroA || !this.g || !this.n || this.p.modn(3) !== 1)
|
649 | return;
|
650 |
|
651 |
|
652 | var beta;
|
653 | var lambda;
|
654 | if (conf.beta) {
|
655 | beta = new bn(conf.beta, 16).toRed(this.red);
|
656 | } else {
|
657 | var betas = this._getEndoRoots(this.p);
|
658 |
|
659 | beta = betas[0].cmp(betas[1]) < 0 ? betas[0] : betas[1];
|
660 | beta = beta.toRed(this.red);
|
661 | }
|
662 | if (conf.lambda) {
|
663 | lambda = new bn(conf.lambda, 16);
|
664 | } else {
|
665 |
|
666 | var lambdas = this._getEndoRoots(this.n);
|
667 | if (this.g.mul(lambdas[0]).x.cmp(this.g.x.redMul(beta)) === 0) {
|
668 | lambda = lambdas[0];
|
669 | } else {
|
670 | lambda = lambdas[1];
|
671 | assert$1(this.g.mul(lambda).x.cmp(this.g.x.redMul(beta)) === 0);
|
672 | }
|
673 | }
|
674 |
|
675 |
|
676 | var basis;
|
677 | if (conf.basis) {
|
678 | basis = conf.basis.map(function(vec) {
|
679 | return {
|
680 | a: new bn(vec.a, 16),
|
681 | b: new bn(vec.b, 16)
|
682 | };
|
683 | });
|
684 | } else {
|
685 | basis = this._getEndoBasis(lambda);
|
686 | }
|
687 |
|
688 | return {
|
689 | beta: beta,
|
690 | lambda: lambda,
|
691 | basis: basis
|
692 | };
|
693 | };
|
694 |
|
695 | ShortCurve.prototype._getEndoRoots = function _getEndoRoots(num) {
|
696 |
|
697 |
|
698 |
|
699 | var red = num === this.p ? this.red : bn.mont(num);
|
700 | var tinv = new bn(2).toRed(red).redInvm();
|
701 | var ntinv = tinv.redNeg();
|
702 |
|
703 | var s = new bn(3).toRed(red).redNeg().redSqrt().redMul(tinv);
|
704 |
|
705 | var l1 = ntinv.redAdd(s).fromRed();
|
706 | var l2 = ntinv.redSub(s).fromRed();
|
707 | return [ l1, l2 ];
|
708 | };
|
709 |
|
710 | ShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) {
|
711 |
|
712 | var aprxSqrt = this.n.ushrn(Math.floor(this.n.bitLength() / 2));
|
713 |
|
714 |
|
715 |
|
716 | var u = lambda;
|
717 | var v = this.n.clone();
|
718 | var x1 = new bn(1);
|
719 | var y1 = new bn(0);
|
720 | var x2 = new bn(0);
|
721 | var y2 = new bn(1);
|
722 |
|
723 |
|
724 | var a0;
|
725 | var b0;
|
726 |
|
727 | var a1;
|
728 | var b1;
|
729 |
|
730 | var a2;
|
731 | var b2;
|
732 |
|
733 | var prevR;
|
734 | var i = 0;
|
735 | var r;
|
736 | var x;
|
737 | while (u.cmpn(0) !== 0) {
|
738 | var q = v.div(u);
|
739 | r = v.sub(q.mul(u));
|
740 | x = x2.sub(q.mul(x1));
|
741 | var y = y2.sub(q.mul(y1));
|
742 |
|
743 | if (!a1 && r.cmp(aprxSqrt) < 0) {
|
744 | a0 = prevR.neg();
|
745 | b0 = x1;
|
746 | a1 = r.neg();
|
747 | b1 = x;
|
748 | } else if (a1 && ++i === 2) {
|
749 | break;
|
750 | }
|
751 | prevR = r;
|
752 |
|
753 | v = u;
|
754 | u = r;
|
755 | x2 = x1;
|
756 | x1 = x;
|
757 | y2 = y1;
|
758 | y1 = y;
|
759 | }
|
760 | a2 = r.neg();
|
761 | b2 = x;
|
762 |
|
763 | var len1 = a1.sqr().add(b1.sqr());
|
764 | var len2 = a2.sqr().add(b2.sqr());
|
765 | if (len2.cmp(len1) >= 0) {
|
766 | a2 = a0;
|
767 | b2 = b0;
|
768 | }
|
769 |
|
770 |
|
771 | if (a1.negative) {
|
772 | a1 = a1.neg();
|
773 | b1 = b1.neg();
|
774 | }
|
775 | if (a2.negative) {
|
776 | a2 = a2.neg();
|
777 | b2 = b2.neg();
|
778 | }
|
779 |
|
780 | return [
|
781 | { a: a1, b: b1 },
|
782 | { a: a2, b: b2 }
|
783 | ];
|
784 | };
|
785 |
|
786 | ShortCurve.prototype._endoSplit = function _endoSplit(k) {
|
787 | var basis = this.endo.basis;
|
788 | var v1 = basis[0];
|
789 | var v2 = basis[1];
|
790 |
|
791 | var c1 = v2.b.mul(k).divRound(this.n);
|
792 | var c2 = v1.b.neg().mul(k).divRound(this.n);
|
793 |
|
794 | var p1 = c1.mul(v1.a);
|
795 | var p2 = c2.mul(v2.a);
|
796 | var q1 = c1.mul(v1.b);
|
797 | var q2 = c2.mul(v2.b);
|
798 |
|
799 |
|
800 | var k1 = k.sub(p1).sub(p2);
|
801 | var k2 = q1.add(q2).neg();
|
802 | return { k1: k1, k2: k2 };
|
803 | };
|
804 |
|
805 | ShortCurve.prototype.pointFromX = function pointFromX(x, odd) {
|
806 | x = new bn(x, 16);
|
807 | if (!x.red)
|
808 | x = x.toRed(this.red);
|
809 |
|
810 | var y2 = x.redSqr().redMul(x).redIAdd(x.redMul(this.a)).redIAdd(this.b);
|
811 | var y = y2.redSqrt();
|
812 | if (y.redSqr().redSub(y2).cmp(this.zero) !== 0)
|
813 | throw new Error('invalid point');
|
814 |
|
815 |
|
816 |
|
817 | var isOdd = y.fromRed().isOdd();
|
818 | if (odd && !isOdd || !odd && isOdd)
|
819 | y = y.redNeg();
|
820 |
|
821 | return this.point(x, y);
|
822 | };
|
823 |
|
824 | ShortCurve.prototype.validate = function validate(point) {
|
825 | if (point.inf)
|
826 | return true;
|
827 |
|
828 | var x = point.x;
|
829 | var y = point.y;
|
830 |
|
831 | var ax = this.a.redMul(x);
|
832 | var rhs = x.redSqr().redMul(x).redIAdd(ax).redIAdd(this.b);
|
833 | return y.redSqr().redISub(rhs).cmpn(0) === 0;
|
834 | };
|
835 |
|
836 | ShortCurve.prototype._endoWnafMulAdd =
|
837 | function _endoWnafMulAdd(points, coeffs, jacobianResult) {
|
838 | var npoints = this._endoWnafT1;
|
839 | var ncoeffs = this._endoWnafT2;
|
840 | for (var i = 0; i < points.length; i++) {
|
841 | var split = this._endoSplit(coeffs[i]);
|
842 | var p = points[i];
|
843 | var beta = p._getBeta();
|
844 |
|
845 | if (split.k1.negative) {
|
846 | split.k1.ineg();
|
847 | p = p.neg(true);
|
848 | }
|
849 | if (split.k2.negative) {
|
850 | split.k2.ineg();
|
851 | beta = beta.neg(true);
|
852 | }
|
853 |
|
854 | npoints[i * 2] = p;
|
855 | npoints[i * 2 + 1] = beta;
|
856 | ncoeffs[i * 2] = split.k1;
|
857 | ncoeffs[i * 2 + 1] = split.k2;
|
858 | }
|
859 | var res = this._wnafMulAdd(1, npoints, ncoeffs, i * 2, jacobianResult);
|
860 |
|
861 |
|
862 | for (var j = 0; j < i * 2; j++) {
|
863 | npoints[j] = null;
|
864 | ncoeffs[j] = null;
|
865 | }
|
866 | return res;
|
867 | };
|
868 |
|
869 | function Point(curve, x, y, isRed) {
|
870 | base.BasePoint.call(this, curve, 'affine');
|
871 | if (x === null && y === null) {
|
872 | this.x = null;
|
873 | this.y = null;
|
874 | this.inf = true;
|
875 | } else {
|
876 | this.x = new bn(x, 16);
|
877 | this.y = new bn(y, 16);
|
878 |
|
879 | if (isRed) {
|
880 | this.x.forceRed(this.curve.red);
|
881 | this.y.forceRed(this.curve.red);
|
882 | }
|
883 | if (!this.x.red)
|
884 | this.x = this.x.toRed(this.curve.red);
|
885 | if (!this.y.red)
|
886 | this.y = this.y.toRed(this.curve.red);
|
887 | this.inf = false;
|
888 | }
|
889 | }
|
890 | inherits_browser(Point, base.BasePoint);
|
891 |
|
892 | ShortCurve.prototype.point = function point(x, y, isRed) {
|
893 | return new Point(this, x, y, isRed);
|
894 | };
|
895 |
|
896 | ShortCurve.prototype.pointFromJSON = function pointFromJSON(obj, red) {
|
897 | return Point.fromJSON(this, obj, red);
|
898 | };
|
899 |
|
900 | Point.prototype._getBeta = function _getBeta() {
|
901 | if (!this.curve.endo)
|
902 | return;
|
903 |
|
904 | var pre = this.precomputed;
|
905 | if (pre && pre.beta)
|
906 | return pre.beta;
|
907 |
|
908 | var beta = this.curve.point(this.x.redMul(this.curve.endo.beta), this.y);
|
909 | if (pre) {
|
910 | var curve = this.curve;
|
911 | var endoMul = function(p) {
|
912 | return curve.point(p.x.redMul(curve.endo.beta), p.y);
|
913 | };
|
914 | pre.beta = beta;
|
915 | beta.precomputed = {
|
916 | beta: null,
|
917 | naf: pre.naf && {
|
918 | wnd: pre.naf.wnd,
|
919 | points: pre.naf.points.map(endoMul)
|
920 | },
|
921 | doubles: pre.doubles && {
|
922 | step: pre.doubles.step,
|
923 | points: pre.doubles.points.map(endoMul)
|
924 | }
|
925 | };
|
926 | }
|
927 | return beta;
|
928 | };
|
929 |
|
930 | Point.prototype.toJSON = function toJSON() {
|
931 | if (!this.precomputed)
|
932 | return [ this.x, this.y ];
|
933 |
|
934 | return [ this.x, this.y, this.precomputed && {
|
935 | doubles: this.precomputed.doubles && {
|
936 | step: this.precomputed.doubles.step,
|
937 | points: this.precomputed.doubles.points.slice(1)
|
938 | },
|
939 | naf: this.precomputed.naf && {
|
940 | wnd: this.precomputed.naf.wnd,
|
941 | points: this.precomputed.naf.points.slice(1)
|
942 | }
|
943 | } ];
|
944 | };
|
945 |
|
946 | Point.fromJSON = function fromJSON(curve, obj, red) {
|
947 | if (typeof obj === 'string')
|
948 | obj = JSON.parse(obj);
|
949 | var res = curve.point(obj[0], obj[1], red);
|
950 | if (!obj[2])
|
951 | return res;
|
952 |
|
953 | function obj2point(obj) {
|
954 | return curve.point(obj[0], obj[1], red);
|
955 | }
|
956 |
|
957 | var pre = obj[2];
|
958 | res.precomputed = {
|
959 | beta: null,
|
960 | doubles: pre.doubles && {
|
961 | step: pre.doubles.step,
|
962 | points: [ res ].concat(pre.doubles.points.map(obj2point))
|
963 | },
|
964 | naf: pre.naf && {
|
965 | wnd: pre.naf.wnd,
|
966 | points: [ res ].concat(pre.naf.points.map(obj2point))
|
967 | }
|
968 | };
|
969 | return res;
|
970 | };
|
971 |
|
972 | Point.prototype.inspect = function inspect() {
|
973 | if (this.isInfinity())
|
974 | return '<EC Point Infinity>';
|
975 | return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +
|
976 | ' y: ' + this.y.fromRed().toString(16, 2) + '>';
|
977 | };
|
978 |
|
979 | Point.prototype.isInfinity = function isInfinity() {
|
980 | return this.inf;
|
981 | };
|
982 |
|
983 | Point.prototype.add = function add(p) {
|
984 |
|
985 | if (this.inf)
|
986 | return p;
|
987 |
|
988 |
|
989 | if (p.inf)
|
990 | return this;
|
991 |
|
992 |
|
993 | if (this.eq(p))
|
994 | return this.dbl();
|
995 |
|
996 |
|
997 | if (this.neg().eq(p))
|
998 | return this.curve.point(null, null);
|
999 |
|
1000 |
|
1001 | if (this.x.cmp(p.x) === 0)
|
1002 | return this.curve.point(null, null);
|
1003 |
|
1004 | var c = this.y.redSub(p.y);
|
1005 | if (c.cmpn(0) !== 0)
|
1006 | c = c.redMul(this.x.redSub(p.x).redInvm());
|
1007 | var nx = c.redSqr().redISub(this.x).redISub(p.x);
|
1008 | var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);
|
1009 | return this.curve.point(nx, ny);
|
1010 | };
|
1011 |
|
1012 | Point.prototype.dbl = function dbl() {
|
1013 | if (this.inf)
|
1014 | return this;
|
1015 |
|
1016 |
|
1017 | var ys1 = this.y.redAdd(this.y);
|
1018 | if (ys1.cmpn(0) === 0)
|
1019 | return this.curve.point(null, null);
|
1020 |
|
1021 | var a = this.curve.a;
|
1022 |
|
1023 | var x2 = this.x.redSqr();
|
1024 | var dyinv = ys1.redInvm();
|
1025 | var c = x2.redAdd(x2).redIAdd(x2).redIAdd(a).redMul(dyinv);
|
1026 |
|
1027 | var nx = c.redSqr().redISub(this.x.redAdd(this.x));
|
1028 | var ny = c.redMul(this.x.redSub(nx)).redISub(this.y);
|
1029 | return this.curve.point(nx, ny);
|
1030 | };
|
1031 |
|
1032 | Point.prototype.getX = function getX() {
|
1033 | return this.x.fromRed();
|
1034 | };
|
1035 |
|
1036 | Point.prototype.getY = function getY() {
|
1037 | return this.y.fromRed();
|
1038 | };
|
1039 |
|
1040 | Point.prototype.mul = function mul(k) {
|
1041 | k = new bn(k, 16);
|
1042 | if (this.isInfinity())
|
1043 | return this;
|
1044 | else if (this._hasDoubles(k))
|
1045 | return this.curve._fixedNafMul(this, k);
|
1046 | else if (this.curve.endo)
|
1047 | return this.curve._endoWnafMulAdd([ this ], [ k ]);
|
1048 | else
|
1049 | return this.curve._wnafMul(this, k);
|
1050 | };
|
1051 |
|
1052 | Point.prototype.mulAdd = function mulAdd(k1, p2, k2) {
|
1053 | var points = [ this, p2 ];
|
1054 | var coeffs = [ k1, k2 ];
|
1055 | if (this.curve.endo)
|
1056 | return this.curve._endoWnafMulAdd(points, coeffs);
|
1057 | else
|
1058 | return this.curve._wnafMulAdd(1, points, coeffs, 2);
|
1059 | };
|
1060 |
|
1061 | Point.prototype.jmulAdd = function jmulAdd(k1, p2, k2) {
|
1062 | var points = [ this, p2 ];
|
1063 | var coeffs = [ k1, k2 ];
|
1064 | if (this.curve.endo)
|
1065 | return this.curve._endoWnafMulAdd(points, coeffs, true);
|
1066 | else
|
1067 | return this.curve._wnafMulAdd(1, points, coeffs, 2, true);
|
1068 | };
|
1069 |
|
1070 | Point.prototype.eq = function eq(p) {
|
1071 | return this === p ||
|
1072 | this.inf === p.inf &&
|
1073 | (this.inf || this.x.cmp(p.x) === 0 && this.y.cmp(p.y) === 0);
|
1074 | };
|
1075 |
|
1076 | Point.prototype.neg = function neg(_precompute) {
|
1077 | if (this.inf)
|
1078 | return this;
|
1079 |
|
1080 | var res = this.curve.point(this.x, this.y.redNeg());
|
1081 | if (_precompute && this.precomputed) {
|
1082 | var pre = this.precomputed;
|
1083 | var negate = function(p) {
|
1084 | return p.neg();
|
1085 | };
|
1086 | res.precomputed = {
|
1087 | naf: pre.naf && {
|
1088 | wnd: pre.naf.wnd,
|
1089 | points: pre.naf.points.map(negate)
|
1090 | },
|
1091 | doubles: pre.doubles && {
|
1092 | step: pre.doubles.step,
|
1093 | points: pre.doubles.points.map(negate)
|
1094 | }
|
1095 | };
|
1096 | }
|
1097 | return res;
|
1098 | };
|
1099 |
|
1100 | Point.prototype.toJ = function toJ() {
|
1101 | if (this.inf)
|
1102 | return this.curve.jpoint(null, null, null);
|
1103 |
|
1104 | var res = this.curve.jpoint(this.x, this.y, this.curve.one);
|
1105 | return res;
|
1106 | };
|
1107 |
|
1108 | function JPoint(curve, x, y, z) {
|
1109 | base.BasePoint.call(this, curve, 'jacobian');
|
1110 | if (x === null && y === null && z === null) {
|
1111 | this.x = this.curve.one;
|
1112 | this.y = this.curve.one;
|
1113 | this.z = new bn(0);
|
1114 | } else {
|
1115 | this.x = new bn(x, 16);
|
1116 | this.y = new bn(y, 16);
|
1117 | this.z = new bn(z, 16);
|
1118 | }
|
1119 | if (!this.x.red)
|
1120 | this.x = this.x.toRed(this.curve.red);
|
1121 | if (!this.y.red)
|
1122 | this.y = this.y.toRed(this.curve.red);
|
1123 | if (!this.z.red)
|
1124 | this.z = this.z.toRed(this.curve.red);
|
1125 |
|
1126 | this.zOne = this.z === this.curve.one;
|
1127 | }
|
1128 | inherits_browser(JPoint, base.BasePoint);
|
1129 |
|
1130 | ShortCurve.prototype.jpoint = function jpoint(x, y, z) {
|
1131 | return new JPoint(this, x, y, z);
|
1132 | };
|
1133 |
|
1134 | JPoint.prototype.toP = function toP() {
|
1135 | if (this.isInfinity())
|
1136 | return this.curve.point(null, null);
|
1137 |
|
1138 | var zinv = this.z.redInvm();
|
1139 | var zinv2 = zinv.redSqr();
|
1140 | var ax = this.x.redMul(zinv2);
|
1141 | var ay = this.y.redMul(zinv2).redMul(zinv);
|
1142 |
|
1143 | return this.curve.point(ax, ay);
|
1144 | };
|
1145 |
|
1146 | JPoint.prototype.neg = function neg() {
|
1147 | return this.curve.jpoint(this.x, this.y.redNeg(), this.z);
|
1148 | };
|
1149 |
|
1150 | JPoint.prototype.add = function add(p) {
|
1151 |
|
1152 | if (this.isInfinity())
|
1153 | return p;
|
1154 |
|
1155 |
|
1156 | if (p.isInfinity())
|
1157 | return this;
|
1158 |
|
1159 |
|
1160 | var pz2 = p.z.redSqr();
|
1161 | var z2 = this.z.redSqr();
|
1162 | var u1 = this.x.redMul(pz2);
|
1163 | var u2 = p.x.redMul(z2);
|
1164 | var s1 = this.y.redMul(pz2.redMul(p.z));
|
1165 | var s2 = p.y.redMul(z2.redMul(this.z));
|
1166 |
|
1167 | var h = u1.redSub(u2);
|
1168 | var r = s1.redSub(s2);
|
1169 | if (h.cmpn(0) === 0) {
|
1170 | if (r.cmpn(0) !== 0)
|
1171 | return this.curve.jpoint(null, null, null);
|
1172 | else
|
1173 | return this.dbl();
|
1174 | }
|
1175 |
|
1176 | var h2 = h.redSqr();
|
1177 | var h3 = h2.redMul(h);
|
1178 | var v = u1.redMul(h2);
|
1179 |
|
1180 | var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);
|
1181 | var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));
|
1182 | var nz = this.z.redMul(p.z).redMul(h);
|
1183 |
|
1184 | return this.curve.jpoint(nx, ny, nz);
|
1185 | };
|
1186 |
|
1187 | JPoint.prototype.mixedAdd = function mixedAdd(p) {
|
1188 |
|
1189 | if (this.isInfinity())
|
1190 | return p.toJ();
|
1191 |
|
1192 |
|
1193 | if (p.isInfinity())
|
1194 | return this;
|
1195 |
|
1196 |
|
1197 | var z2 = this.z.redSqr();
|
1198 | var u1 = this.x;
|
1199 | var u2 = p.x.redMul(z2);
|
1200 | var s1 = this.y;
|
1201 | var s2 = p.y.redMul(z2).redMul(this.z);
|
1202 |
|
1203 | var h = u1.redSub(u2);
|
1204 | var r = s1.redSub(s2);
|
1205 | if (h.cmpn(0) === 0) {
|
1206 | if (r.cmpn(0) !== 0)
|
1207 | return this.curve.jpoint(null, null, null);
|
1208 | else
|
1209 | return this.dbl();
|
1210 | }
|
1211 |
|
1212 | var h2 = h.redSqr();
|
1213 | var h3 = h2.redMul(h);
|
1214 | var v = u1.redMul(h2);
|
1215 |
|
1216 | var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v);
|
1217 | var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3));
|
1218 | var nz = this.z.redMul(h);
|
1219 |
|
1220 | return this.curve.jpoint(nx, ny, nz);
|
1221 | };
|
1222 |
|
1223 | JPoint.prototype.dblp = function dblp(pow) {
|
1224 | if (pow === 0)
|
1225 | return this;
|
1226 | if (this.isInfinity())
|
1227 | return this;
|
1228 | if (!pow)
|
1229 | return this.dbl();
|
1230 |
|
1231 | if (this.curve.zeroA || this.curve.threeA) {
|
1232 | var r = this;
|
1233 | for (var i = 0; i < pow; i++)
|
1234 | r = r.dbl();
|
1235 | return r;
|
1236 | }
|
1237 |
|
1238 |
|
1239 |
|
1240 | var a = this.curve.a;
|
1241 | var tinv = this.curve.tinv;
|
1242 |
|
1243 | var jx = this.x;
|
1244 | var jy = this.y;
|
1245 | var jz = this.z;
|
1246 | var jz4 = jz.redSqr().redSqr();
|
1247 |
|
1248 |
|
1249 | var jyd = jy.redAdd(jy);
|
1250 | for (var i = 0; i < pow; i++) {
|
1251 | var jx2 = jx.redSqr();
|
1252 | var jyd2 = jyd.redSqr();
|
1253 | var jyd4 = jyd2.redSqr();
|
1254 | var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));
|
1255 |
|
1256 | var t1 = jx.redMul(jyd2);
|
1257 | var nx = c.redSqr().redISub(t1.redAdd(t1));
|
1258 | var t2 = t1.redISub(nx);
|
1259 | var dny = c.redMul(t2);
|
1260 | dny = dny.redIAdd(dny).redISub(jyd4);
|
1261 | var nz = jyd.redMul(jz);
|
1262 | if (i + 1 < pow)
|
1263 | jz4 = jz4.redMul(jyd4);
|
1264 |
|
1265 | jx = nx;
|
1266 | jz = nz;
|
1267 | jyd = dny;
|
1268 | }
|
1269 |
|
1270 | return this.curve.jpoint(jx, jyd.redMul(tinv), jz);
|
1271 | };
|
1272 |
|
1273 | JPoint.prototype.dbl = function dbl() {
|
1274 | if (this.isInfinity())
|
1275 | return this;
|
1276 |
|
1277 | if (this.curve.zeroA)
|
1278 | return this._zeroDbl();
|
1279 | else if (this.curve.threeA)
|
1280 | return this._threeDbl();
|
1281 | else
|
1282 | return this._dbl();
|
1283 | };
|
1284 |
|
1285 | JPoint.prototype._zeroDbl = function _zeroDbl() {
|
1286 | var nx;
|
1287 | var ny;
|
1288 | var nz;
|
1289 |
|
1290 | if (this.zOne) {
|
1291 |
|
1292 |
|
1293 |
|
1294 |
|
1295 |
|
1296 | var xx = this.x.redSqr();
|
1297 |
|
1298 | var yy = this.y.redSqr();
|
1299 |
|
1300 | var yyyy = yy.redSqr();
|
1301 |
|
1302 | var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);
|
1303 | s = s.redIAdd(s);
|
1304 |
|
1305 | var m = xx.redAdd(xx).redIAdd(xx);
|
1306 |
|
1307 | var t = m.redSqr().redISub(s).redISub(s);
|
1308 |
|
1309 |
|
1310 | var yyyy8 = yyyy.redIAdd(yyyy);
|
1311 | yyyy8 = yyyy8.redIAdd(yyyy8);
|
1312 | yyyy8 = yyyy8.redIAdd(yyyy8);
|
1313 |
|
1314 |
|
1315 | nx = t;
|
1316 |
|
1317 | ny = m.redMul(s.redISub(t)).redISub(yyyy8);
|
1318 |
|
1319 | nz = this.y.redAdd(this.y);
|
1320 | } else {
|
1321 |
|
1322 |
|
1323 |
|
1324 |
|
1325 |
|
1326 | var a = this.x.redSqr();
|
1327 |
|
1328 | var b = this.y.redSqr();
|
1329 |
|
1330 | var c = b.redSqr();
|
1331 |
|
1332 | var d = this.x.redAdd(b).redSqr().redISub(a).redISub(c);
|
1333 | d = d.redIAdd(d);
|
1334 |
|
1335 | var e = a.redAdd(a).redIAdd(a);
|
1336 |
|
1337 | var f = e.redSqr();
|
1338 |
|
1339 |
|
1340 | var c8 = c.redIAdd(c);
|
1341 | c8 = c8.redIAdd(c8);
|
1342 | c8 = c8.redIAdd(c8);
|
1343 |
|
1344 |
|
1345 | nx = f.redISub(d).redISub(d);
|
1346 |
|
1347 | ny = e.redMul(d.redISub(nx)).redISub(c8);
|
1348 |
|
1349 | nz = this.y.redMul(this.z);
|
1350 | nz = nz.redIAdd(nz);
|
1351 | }
|
1352 |
|
1353 | return this.curve.jpoint(nx, ny, nz);
|
1354 | };
|
1355 |
|
1356 | JPoint.prototype._threeDbl = function _threeDbl() {
|
1357 | var nx;
|
1358 | var ny;
|
1359 | var nz;
|
1360 |
|
1361 | if (this.zOne) {
|
1362 |
|
1363 |
|
1364 |
|
1365 |
|
1366 |
|
1367 | var xx = this.x.redSqr();
|
1368 |
|
1369 | var yy = this.y.redSqr();
|
1370 |
|
1371 | var yyyy = yy.redSqr();
|
1372 |
|
1373 | var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);
|
1374 | s = s.redIAdd(s);
|
1375 |
|
1376 | var m = xx.redAdd(xx).redIAdd(xx).redIAdd(this.curve.a);
|
1377 |
|
1378 | var t = m.redSqr().redISub(s).redISub(s);
|
1379 |
|
1380 | nx = t;
|
1381 |
|
1382 | var yyyy8 = yyyy.redIAdd(yyyy);
|
1383 | yyyy8 = yyyy8.redIAdd(yyyy8);
|
1384 | yyyy8 = yyyy8.redIAdd(yyyy8);
|
1385 | ny = m.redMul(s.redISub(t)).redISub(yyyy8);
|
1386 |
|
1387 | nz = this.y.redAdd(this.y);
|
1388 | } else {
|
1389 |
|
1390 |
|
1391 |
|
1392 |
|
1393 | var delta = this.z.redSqr();
|
1394 |
|
1395 | var gamma = this.y.redSqr();
|
1396 |
|
1397 | var beta = this.x.redMul(gamma);
|
1398 |
|
1399 | var alpha = this.x.redSub(delta).redMul(this.x.redAdd(delta));
|
1400 | alpha = alpha.redAdd(alpha).redIAdd(alpha);
|
1401 |
|
1402 | var beta4 = beta.redIAdd(beta);
|
1403 | beta4 = beta4.redIAdd(beta4);
|
1404 | var beta8 = beta4.redAdd(beta4);
|
1405 | nx = alpha.redSqr().redISub(beta8);
|
1406 |
|
1407 | nz = this.y.redAdd(this.z).redSqr().redISub(gamma).redISub(delta);
|
1408 |
|
1409 | var ggamma8 = gamma.redSqr();
|
1410 | ggamma8 = ggamma8.redIAdd(ggamma8);
|
1411 | ggamma8 = ggamma8.redIAdd(ggamma8);
|
1412 | ggamma8 = ggamma8.redIAdd(ggamma8);
|
1413 | ny = alpha.redMul(beta4.redISub(nx)).redISub(ggamma8);
|
1414 | }
|
1415 |
|
1416 | return this.curve.jpoint(nx, ny, nz);
|
1417 | };
|
1418 |
|
1419 | JPoint.prototype._dbl = function _dbl() {
|
1420 | var a = this.curve.a;
|
1421 |
|
1422 |
|
1423 | var jx = this.x;
|
1424 | var jy = this.y;
|
1425 | var jz = this.z;
|
1426 | var jz4 = jz.redSqr().redSqr();
|
1427 |
|
1428 | var jx2 = jx.redSqr();
|
1429 | var jy2 = jy.redSqr();
|
1430 |
|
1431 | var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4));
|
1432 |
|
1433 | var jxd4 = jx.redAdd(jx);
|
1434 | jxd4 = jxd4.redIAdd(jxd4);
|
1435 | var t1 = jxd4.redMul(jy2);
|
1436 | var nx = c.redSqr().redISub(t1.redAdd(t1));
|
1437 | var t2 = t1.redISub(nx);
|
1438 |
|
1439 | var jyd8 = jy2.redSqr();
|
1440 | jyd8 = jyd8.redIAdd(jyd8);
|
1441 | jyd8 = jyd8.redIAdd(jyd8);
|
1442 | jyd8 = jyd8.redIAdd(jyd8);
|
1443 | var ny = c.redMul(t2).redISub(jyd8);
|
1444 | var nz = jy.redAdd(jy).redMul(jz);
|
1445 |
|
1446 | return this.curve.jpoint(nx, ny, nz);
|
1447 | };
|
1448 |
|
1449 | JPoint.prototype.trpl = function trpl() {
|
1450 | if (!this.curve.zeroA)
|
1451 | return this.dbl().add(this);
|
1452 |
|
1453 |
|
1454 |
|
1455 |
|
1456 |
|
1457 | var xx = this.x.redSqr();
|
1458 |
|
1459 | var yy = this.y.redSqr();
|
1460 |
|
1461 | var zz = this.z.redSqr();
|
1462 |
|
1463 | var yyyy = yy.redSqr();
|
1464 |
|
1465 | var m = xx.redAdd(xx).redIAdd(xx);
|
1466 |
|
1467 | var mm = m.redSqr();
|
1468 |
|
1469 | var e = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy);
|
1470 | e = e.redIAdd(e);
|
1471 | e = e.redAdd(e).redIAdd(e);
|
1472 | e = e.redISub(mm);
|
1473 |
|
1474 | var ee = e.redSqr();
|
1475 |
|
1476 | var t = yyyy.redIAdd(yyyy);
|
1477 | t = t.redIAdd(t);
|
1478 | t = t.redIAdd(t);
|
1479 | t = t.redIAdd(t);
|
1480 |
|
1481 | var u = m.redIAdd(e).redSqr().redISub(mm).redISub(ee).redISub(t);
|
1482 |
|
1483 | var yyu4 = yy.redMul(u);
|
1484 | yyu4 = yyu4.redIAdd(yyu4);
|
1485 | yyu4 = yyu4.redIAdd(yyu4);
|
1486 | var nx = this.x.redMul(ee).redISub(yyu4);
|
1487 | nx = nx.redIAdd(nx);
|
1488 | nx = nx.redIAdd(nx);
|
1489 |
|
1490 | var ny = this.y.redMul(u.redMul(t.redISub(u)).redISub(e.redMul(ee)));
|
1491 | ny = ny.redIAdd(ny);
|
1492 | ny = ny.redIAdd(ny);
|
1493 | ny = ny.redIAdd(ny);
|
1494 |
|
1495 | var nz = this.z.redAdd(e).redSqr().redISub(zz).redISub(ee);
|
1496 |
|
1497 | return this.curve.jpoint(nx, ny, nz);
|
1498 | };
|
1499 |
|
1500 | JPoint.prototype.mul = function mul(k, kbase) {
|
1501 | k = new bn(k, kbase);
|
1502 |
|
1503 | return this.curve._wnafMul(this, k);
|
1504 | };
|
1505 |
|
1506 | JPoint.prototype.eq = function eq(p) {
|
1507 | if (p.type === 'affine')
|
1508 | return this.eq(p.toJ());
|
1509 |
|
1510 | if (this === p)
|
1511 | return true;
|
1512 |
|
1513 |
|
1514 | var z2 = this.z.redSqr();
|
1515 | var pz2 = p.z.redSqr();
|
1516 | if (this.x.redMul(pz2).redISub(p.x.redMul(z2)).cmpn(0) !== 0)
|
1517 | return false;
|
1518 |
|
1519 |
|
1520 | var z3 = z2.redMul(this.z);
|
1521 | var pz3 = pz2.redMul(p.z);
|
1522 | return this.y.redMul(pz3).redISub(p.y.redMul(z3)).cmpn(0) === 0;
|
1523 | };
|
1524 |
|
1525 | JPoint.prototype.eqXToP = function eqXToP(x) {
|
1526 | var zs = this.z.redSqr();
|
1527 | var rx = x.toRed(this.curve.red).redMul(zs);
|
1528 | if (this.x.cmp(rx) === 0)
|
1529 | return true;
|
1530 |
|
1531 | var xc = x.clone();
|
1532 | var t = this.curve.redN.redMul(zs);
|
1533 | for (;;) {
|
1534 | xc.iadd(this.curve.n);
|
1535 | if (xc.cmp(this.curve.p) >= 0)
|
1536 | return false;
|
1537 |
|
1538 | rx.redIAdd(t);
|
1539 | if (this.x.cmp(rx) === 0)
|
1540 | return true;
|
1541 | }
|
1542 | };
|
1543 |
|
1544 | JPoint.prototype.inspect = function inspect() {
|
1545 | if (this.isInfinity())
|
1546 | return '<EC JPoint Infinity>';
|
1547 | return '<EC JPoint x: ' + this.x.toString(16, 2) +
|
1548 | ' y: ' + this.y.toString(16, 2) +
|
1549 | ' z: ' + this.z.toString(16, 2) + '>';
|
1550 | };
|
1551 |
|
1552 | JPoint.prototype.isInfinity = function isInfinity() {
|
1553 |
|
1554 | return this.z.cmpn(0) === 0;
|
1555 | };
|
1556 |
|
1557 | function MontCurve(conf) {
|
1558 | base.call(this, 'mont', conf);
|
1559 |
|
1560 | this.a = new bn(conf.a, 16).toRed(this.red);
|
1561 | this.b = new bn(conf.b, 16).toRed(this.red);
|
1562 | this.i4 = new bn(4).toRed(this.red).redInvm();
|
1563 | this.two = new bn(2).toRed(this.red);
|
1564 |
|
1565 |
|
1566 | this.a24 = this.i4.redMul(this.a.redAdd(this.two));
|
1567 | }
|
1568 | inherits_browser(MontCurve, base);
|
1569 | var mont = MontCurve;
|
1570 |
|
1571 | MontCurve.prototype.validate = function validate(point) {
|
1572 | var x = point.normalize().x;
|
1573 | var x2 = x.redSqr();
|
1574 | var rhs = x2.redMul(x).redAdd(x2.redMul(this.a)).redAdd(x);
|
1575 | var y = rhs.redSqrt();
|
1576 |
|
1577 | return y.redSqr().cmp(rhs) === 0;
|
1578 | };
|
1579 |
|
1580 | function Point$1(curve, x, z) {
|
1581 | base.BasePoint.call(this, curve, 'projective');
|
1582 | if (x === null && z === null) {
|
1583 | this.x = this.curve.one;
|
1584 | this.z = this.curve.zero;
|
1585 | } else {
|
1586 | this.x = new bn(x, 16);
|
1587 | this.z = new bn(z, 16);
|
1588 | if (!this.x.red)
|
1589 | this.x = this.x.toRed(this.curve.red);
|
1590 | if (!this.z.red)
|
1591 | this.z = this.z.toRed(this.curve.red);
|
1592 | }
|
1593 | }
|
1594 | inherits_browser(Point$1, base.BasePoint);
|
1595 |
|
1596 | MontCurve.prototype.decodePoint = function decodePoint(bytes, enc) {
|
1597 | var bytes = utils_1$1.toArray(bytes, enc);
|
1598 |
|
1599 |
|
1600 |
|
1601 |
|
1602 | if (bytes.length === 33 && bytes[0] === 0x40)
|
1603 | bytes = bytes.slice(1, 33).reverse();
|
1604 | if (bytes.length !== 32)
|
1605 | throw new Error('Unknown point compression format');
|
1606 | return this.point(bytes, 1);
|
1607 | };
|
1608 |
|
1609 | MontCurve.prototype.point = function point(x, z) {
|
1610 | return new Point$1(this, x, z);
|
1611 | };
|
1612 |
|
1613 | MontCurve.prototype.pointFromJSON = function pointFromJSON(obj) {
|
1614 | return Point$1.fromJSON(this, obj);
|
1615 | };
|
1616 |
|
1617 | Point$1.prototype.precompute = function precompute() {
|
1618 |
|
1619 | };
|
1620 |
|
1621 | Point$1.prototype._encode = function _encode(compact) {
|
1622 | var len = this.curve.p.byteLength();
|
1623 |
|
1624 |
|
1625 |
|
1626 | if (compact) {
|
1627 | return [ 0x40 ].concat(this.getX().toArray('le', len));
|
1628 | } else {
|
1629 | return this.getX().toArray('be', len);
|
1630 | }
|
1631 | };
|
1632 |
|
1633 | Point$1.fromJSON = function fromJSON(curve, obj) {
|
1634 | return new Point$1(curve, obj[0], obj[1] || curve.one);
|
1635 | };
|
1636 |
|
1637 | Point$1.prototype.inspect = function inspect() {
|
1638 | if (this.isInfinity())
|
1639 | return '<EC Point Infinity>';
|
1640 | return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +
|
1641 | ' z: ' + this.z.fromRed().toString(16, 2) + '>';
|
1642 | };
|
1643 |
|
1644 | Point$1.prototype.isInfinity = function isInfinity() {
|
1645 |
|
1646 | return this.z.cmpn(0) === 0;
|
1647 | };
|
1648 |
|
1649 | Point$1.prototype.dbl = function dbl() {
|
1650 |
|
1651 |
|
1652 |
|
1653 |
|
1654 | var a = this.x.redAdd(this.z);
|
1655 |
|
1656 | var aa = a.redSqr();
|
1657 |
|
1658 | var b = this.x.redSub(this.z);
|
1659 |
|
1660 | var bb = b.redSqr();
|
1661 |
|
1662 | var c = aa.redSub(bb);
|
1663 |
|
1664 | var nx = aa.redMul(bb);
|
1665 |
|
1666 | var nz = c.redMul(bb.redAdd(this.curve.a24.redMul(c)));
|
1667 | return this.curve.point(nx, nz);
|
1668 | };
|
1669 |
|
1670 | Point$1.prototype.add = function add() {
|
1671 | throw new Error('Not supported on Montgomery curve');
|
1672 | };
|
1673 |
|
1674 | Point$1.prototype.diffAdd = function diffAdd(p, diff) {
|
1675 |
|
1676 |
|
1677 |
|
1678 |
|
1679 | var a = this.x.redAdd(this.z);
|
1680 |
|
1681 | var b = this.x.redSub(this.z);
|
1682 |
|
1683 | var c = p.x.redAdd(p.z);
|
1684 |
|
1685 | var d = p.x.redSub(p.z);
|
1686 |
|
1687 | var da = d.redMul(a);
|
1688 |
|
1689 | var cb = c.redMul(b);
|
1690 |
|
1691 | var nx = diff.z.redMul(da.redAdd(cb).redSqr());
|
1692 |
|
1693 | var nz = diff.x.redMul(da.redISub(cb).redSqr());
|
1694 | return this.curve.point(nx, nz);
|
1695 | };
|
1696 |
|
1697 | Point$1.prototype.mul = function mul(k) {
|
1698 | k = new bn(k, 16);
|
1699 |
|
1700 | var t = k.clone();
|
1701 | var a = this;
|
1702 | var b = this.curve.point(null, null);
|
1703 | var c = this;
|
1704 |
|
1705 | for (var bits = []; t.cmpn(0) !== 0; t.iushrn(1))
|
1706 | bits.push(t.andln(1));
|
1707 |
|
1708 | for (var i = bits.length - 1; i >= 0; i--) {
|
1709 | if (bits[i] === 0) {
|
1710 |
|
1711 | a = a.diffAdd(b, c);
|
1712 |
|
1713 | b = b.dbl();
|
1714 | } else {
|
1715 |
|
1716 | b = a.diffAdd(b, c);
|
1717 |
|
1718 | a = a.dbl();
|
1719 | }
|
1720 | }
|
1721 | return b;
|
1722 | };
|
1723 |
|
1724 | Point$1.prototype.mulAdd = function mulAdd() {
|
1725 | throw new Error('Not supported on Montgomery curve');
|
1726 | };
|
1727 |
|
1728 | Point$1.prototype.jumlAdd = function jumlAdd() {
|
1729 | throw new Error('Not supported on Montgomery curve');
|
1730 | };
|
1731 |
|
1732 | Point$1.prototype.eq = function eq(other) {
|
1733 | return this.getX().cmp(other.getX()) === 0;
|
1734 | };
|
1735 |
|
1736 | Point$1.prototype.normalize = function normalize() {
|
1737 | this.x = this.x.redMul(this.z.redInvm());
|
1738 | this.z = this.curve.one;
|
1739 | return this;
|
1740 | };
|
1741 |
|
1742 | Point$1.prototype.getX = function getX() {
|
1743 |
|
1744 | this.normalize();
|
1745 |
|
1746 | return this.x.fromRed();
|
1747 | };
|
1748 |
|
1749 | var assert$2 = utils_1$1.assert;
|
1750 |
|
1751 | function EdwardsCurve(conf) {
|
1752 |
|
1753 | this.twisted = (conf.a | 0) !== 1;
|
1754 | this.mOneA = this.twisted && (conf.a | 0) === -1;
|
1755 | this.extended = this.mOneA;
|
1756 |
|
1757 | base.call(this, 'edwards', conf);
|
1758 |
|
1759 | this.a = new bn(conf.a, 16).umod(this.red.m);
|
1760 | this.a = this.a.toRed(this.red);
|
1761 | this.c = new bn(conf.c, 16).toRed(this.red);
|
1762 | this.c2 = this.c.redSqr();
|
1763 | this.d = new bn(conf.d, 16).toRed(this.red);
|
1764 | this.dd = this.d.redAdd(this.d);
|
1765 |
|
1766 | assert$2(!this.twisted || this.c.fromRed().cmpn(1) === 0);
|
1767 | this.oneC = (conf.c | 0) === 1;
|
1768 | }
|
1769 | inherits_browser(EdwardsCurve, base);
|
1770 | var edwards = EdwardsCurve;
|
1771 |
|
1772 | EdwardsCurve.prototype._mulA = function _mulA(num) {
|
1773 | if (this.mOneA)
|
1774 | return num.redNeg();
|
1775 | else
|
1776 | return this.a.redMul(num);
|
1777 | };
|
1778 |
|
1779 | EdwardsCurve.prototype._mulC = function _mulC(num) {
|
1780 | if (this.oneC)
|
1781 | return num;
|
1782 | else
|
1783 | return this.c.redMul(num);
|
1784 | };
|
1785 |
|
1786 |
|
1787 | EdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) {
|
1788 | return this.point(x, y, z, t);
|
1789 | };
|
1790 |
|
1791 | EdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) {
|
1792 | x = new bn(x, 16);
|
1793 | if (!x.red)
|
1794 | x = x.toRed(this.red);
|
1795 |
|
1796 | var x2 = x.redSqr();
|
1797 | var rhs = this.c2.redSub(this.a.redMul(x2));
|
1798 | var lhs = this.one.redSub(this.c2.redMul(this.d).redMul(x2));
|
1799 |
|
1800 | var y2 = rhs.redMul(lhs.redInvm());
|
1801 | var y = y2.redSqrt();
|
1802 | if (y.redSqr().redSub(y2).cmp(this.zero) !== 0)
|
1803 | throw new Error('invalid point');
|
1804 |
|
1805 | var isOdd = y.fromRed().isOdd();
|
1806 | if (odd && !isOdd || !odd && isOdd)
|
1807 | y = y.redNeg();
|
1808 |
|
1809 | return this.point(x, y);
|
1810 | };
|
1811 |
|
1812 | EdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) {
|
1813 | y = new bn(y, 16);
|
1814 | if (!y.red)
|
1815 | y = y.toRed(this.red);
|
1816 |
|
1817 |
|
1818 | var y2 = y.redSqr();
|
1819 | var lhs = y2.redSub(this.c2);
|
1820 | var rhs = y2.redMul(this.d).redMul(this.c2).redSub(this.a);
|
1821 | var x2 = lhs.redMul(rhs.redInvm());
|
1822 |
|
1823 | if (x2.cmp(this.zero) === 0) {
|
1824 | if (odd)
|
1825 | throw new Error('invalid point');
|
1826 | else
|
1827 | return this.point(this.zero, y);
|
1828 | }
|
1829 |
|
1830 | var x = x2.redSqrt();
|
1831 | if (x.redSqr().redSub(x2).cmp(this.zero) !== 0)
|
1832 | throw new Error('invalid point');
|
1833 |
|
1834 | if (x.fromRed().isOdd() !== odd)
|
1835 | x = x.redNeg();
|
1836 |
|
1837 | return this.point(x, y);
|
1838 | };
|
1839 |
|
1840 | EdwardsCurve.prototype.validate = function validate(point) {
|
1841 | if (point.isInfinity())
|
1842 | return true;
|
1843 |
|
1844 |
|
1845 | point.normalize();
|
1846 |
|
1847 | var x2 = point.x.redSqr();
|
1848 | var y2 = point.y.redSqr();
|
1849 | var lhs = x2.redMul(this.a).redAdd(y2);
|
1850 | var rhs = this.c2.redMul(this.one.redAdd(this.d.redMul(x2).redMul(y2)));
|
1851 |
|
1852 | return lhs.cmp(rhs) === 0;
|
1853 | };
|
1854 |
|
1855 | function Point$2(curve, x, y, z, t) {
|
1856 | base.BasePoint.call(this, curve, 'projective');
|
1857 | if (x === null && y === null && z === null) {
|
1858 | this.x = this.curve.zero;
|
1859 | this.y = this.curve.one;
|
1860 | this.z = this.curve.one;
|
1861 | this.t = this.curve.zero;
|
1862 | this.zOne = true;
|
1863 | } else {
|
1864 | this.x = new bn(x, 16);
|
1865 | this.y = new bn(y, 16);
|
1866 | this.z = z ? new bn(z, 16) : this.curve.one;
|
1867 | this.t = t && new bn(t, 16);
|
1868 | if (!this.x.red)
|
1869 | this.x = this.x.toRed(this.curve.red);
|
1870 | if (!this.y.red)
|
1871 | this.y = this.y.toRed(this.curve.red);
|
1872 | if (!this.z.red)
|
1873 | this.z = this.z.toRed(this.curve.red);
|
1874 | if (this.t && !this.t.red)
|
1875 | this.t = this.t.toRed(this.curve.red);
|
1876 | this.zOne = this.z === this.curve.one;
|
1877 |
|
1878 |
|
1879 | if (this.curve.extended && !this.t) {
|
1880 | this.t = this.x.redMul(this.y);
|
1881 | if (!this.zOne)
|
1882 | this.t = this.t.redMul(this.z.redInvm());
|
1883 | }
|
1884 | }
|
1885 | }
|
1886 | inherits_browser(Point$2, base.BasePoint);
|
1887 |
|
1888 | EdwardsCurve.prototype.pointFromJSON = function pointFromJSON(obj) {
|
1889 | return Point$2.fromJSON(this, obj);
|
1890 | };
|
1891 |
|
1892 | EdwardsCurve.prototype.point = function point(x, y, z, t) {
|
1893 | return new Point$2(this, x, y, z, t);
|
1894 | };
|
1895 |
|
1896 | Point$2.fromJSON = function fromJSON(curve, obj) {
|
1897 | return new Point$2(curve, obj[0], obj[1], obj[2]);
|
1898 | };
|
1899 |
|
1900 | Point$2.prototype.inspect = function inspect() {
|
1901 | if (this.isInfinity())
|
1902 | return '<EC Point Infinity>';
|
1903 | return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +
|
1904 | ' y: ' + this.y.fromRed().toString(16, 2) +
|
1905 | ' z: ' + this.z.fromRed().toString(16, 2) + '>';
|
1906 | };
|
1907 |
|
1908 | Point$2.prototype.isInfinity = function isInfinity() {
|
1909 |
|
1910 | return this.x.cmpn(0) === 0 &&
|
1911 | (this.y.cmp(this.z) === 0 ||
|
1912 | (this.zOne && this.y.cmp(this.curve.c) === 0));
|
1913 | };
|
1914 |
|
1915 | Point$2.prototype._extDbl = function _extDbl() {
|
1916 |
|
1917 |
|
1918 |
|
1919 |
|
1920 |
|
1921 | var a = this.x.redSqr();
|
1922 |
|
1923 | var b = this.y.redSqr();
|
1924 |
|
1925 | var c = this.z.redSqr();
|
1926 | c = c.redIAdd(c);
|
1927 |
|
1928 | var d = this.curve._mulA(a);
|
1929 |
|
1930 | var e = this.x.redAdd(this.y).redSqr().redISub(a).redISub(b);
|
1931 |
|
1932 | var g = d.redAdd(b);
|
1933 |
|
1934 | var f = g.redSub(c);
|
1935 |
|
1936 | var h = d.redSub(b);
|
1937 |
|
1938 | var nx = e.redMul(f);
|
1939 |
|
1940 | var ny = g.redMul(h);
|
1941 |
|
1942 | var nt = e.redMul(h);
|
1943 |
|
1944 | var nz = f.redMul(g);
|
1945 | return this.curve.point(nx, ny, nz, nt);
|
1946 | };
|
1947 |
|
1948 | Point$2.prototype._projDbl = function _projDbl() {
|
1949 |
|
1950 |
|
1951 |
|
1952 |
|
1953 |
|
1954 |
|
1955 |
|
1956 | var b = this.x.redAdd(this.y).redSqr();
|
1957 |
|
1958 | var c = this.x.redSqr();
|
1959 |
|
1960 | var d = this.y.redSqr();
|
1961 |
|
1962 | var nx;
|
1963 | var ny;
|
1964 | var nz;
|
1965 | if (this.curve.twisted) {
|
1966 |
|
1967 | var e = this.curve._mulA(c);
|
1968 |
|
1969 | var f = e.redAdd(d);
|
1970 | if (this.zOne) {
|
1971 |
|
1972 | nx = b.redSub(c).redSub(d).redMul(f.redSub(this.curve.two));
|
1973 |
|
1974 | ny = f.redMul(e.redSub(d));
|
1975 |
|
1976 | nz = f.redSqr().redSub(f).redSub(f);
|
1977 | } else {
|
1978 |
|
1979 | var h = this.z.redSqr();
|
1980 |
|
1981 | var j = f.redSub(h).redISub(h);
|
1982 |
|
1983 | nx = b.redSub(c).redISub(d).redMul(j);
|
1984 |
|
1985 | ny = f.redMul(e.redSub(d));
|
1986 |
|
1987 | nz = f.redMul(j);
|
1988 | }
|
1989 | } else {
|
1990 |
|
1991 | var e = c.redAdd(d);
|
1992 |
|
1993 | var h = this.curve._mulC(this.z).redSqr();
|
1994 |
|
1995 | var j = e.redSub(h).redSub(h);
|
1996 |
|
1997 | nx = this.curve._mulC(b.redISub(e)).redMul(j);
|
1998 |
|
1999 | ny = this.curve._mulC(e).redMul(c.redISub(d));
|
2000 |
|
2001 | nz = e.redMul(j);
|
2002 | }
|
2003 | return this.curve.point(nx, ny, nz);
|
2004 | };
|
2005 |
|
2006 | Point$2.prototype.dbl = function dbl() {
|
2007 | if (this.isInfinity())
|
2008 | return this;
|
2009 |
|
2010 |
|
2011 | if (this.curve.extended)
|
2012 | return this._extDbl();
|
2013 | else
|
2014 | return this._projDbl();
|
2015 | };
|
2016 |
|
2017 | Point$2.prototype._extAdd = function _extAdd(p) {
|
2018 |
|
2019 |
|
2020 |
|
2021 |
|
2022 |
|
2023 | var a = this.y.redSub(this.x).redMul(p.y.redSub(p.x));
|
2024 |
|
2025 | var b = this.y.redAdd(this.x).redMul(p.y.redAdd(p.x));
|
2026 |
|
2027 | var c = this.t.redMul(this.curve.dd).redMul(p.t);
|
2028 |
|
2029 | var d = this.z.redMul(p.z.redAdd(p.z));
|
2030 |
|
2031 | var e = b.redSub(a);
|
2032 |
|
2033 | var f = d.redSub(c);
|
2034 |
|
2035 | var g = d.redAdd(c);
|
2036 |
|
2037 | var h = b.redAdd(a);
|
2038 |
|
2039 | var nx = e.redMul(f);
|
2040 |
|
2041 | var ny = g.redMul(h);
|
2042 |
|
2043 | var nt = e.redMul(h);
|
2044 |
|
2045 | var nz = f.redMul(g);
|
2046 | return this.curve.point(nx, ny, nz, nt);
|
2047 | };
|
2048 |
|
2049 | Point$2.prototype._projAdd = function _projAdd(p) {
|
2050 |
|
2051 |
|
2052 |
|
2053 |
|
2054 |
|
2055 |
|
2056 | var a = this.z.redMul(p.z);
|
2057 |
|
2058 | var b = a.redSqr();
|
2059 |
|
2060 | var c = this.x.redMul(p.x);
|
2061 |
|
2062 | var d = this.y.redMul(p.y);
|
2063 |
|
2064 | var e = this.curve.d.redMul(c).redMul(d);
|
2065 |
|
2066 | var f = b.redSub(e);
|
2067 |
|
2068 | var g = b.redAdd(e);
|
2069 |
|
2070 | var tmp = this.x.redAdd(this.y).redMul(p.x.redAdd(p.y)).redISub(c).redISub(d);
|
2071 | var nx = a.redMul(f).redMul(tmp);
|
2072 | var ny;
|
2073 | var nz;
|
2074 | if (this.curve.twisted) {
|
2075 |
|
2076 | ny = a.redMul(g).redMul(d.redSub(this.curve._mulA(c)));
|
2077 |
|
2078 | nz = f.redMul(g);
|
2079 | } else {
|
2080 |
|
2081 | ny = a.redMul(g).redMul(d.redSub(c));
|
2082 |
|
2083 | nz = this.curve._mulC(f).redMul(g);
|
2084 | }
|
2085 | return this.curve.point(nx, ny, nz);
|
2086 | };
|
2087 |
|
2088 | Point$2.prototype.add = function add(p) {
|
2089 | if (this.isInfinity())
|
2090 | return p;
|
2091 | if (p.isInfinity())
|
2092 | return this;
|
2093 |
|
2094 | if (this.curve.extended)
|
2095 | return this._extAdd(p);
|
2096 | else
|
2097 | return this._projAdd(p);
|
2098 | };
|
2099 |
|
2100 | Point$2.prototype.mul = function mul(k) {
|
2101 | if (this._hasDoubles(k))
|
2102 | return this.curve._fixedNafMul(this, k);
|
2103 | else
|
2104 | return this.curve._wnafMul(this, k);
|
2105 | };
|
2106 |
|
2107 | Point$2.prototype.mulAdd = function mulAdd(k1, p, k2) {
|
2108 | return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, false);
|
2109 | };
|
2110 |
|
2111 | Point$2.prototype.jmulAdd = function jmulAdd(k1, p, k2) {
|
2112 | return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, true);
|
2113 | };
|
2114 |
|
2115 | Point$2.prototype.normalize = function normalize() {
|
2116 | if (this.zOne)
|
2117 | return this;
|
2118 |
|
2119 |
|
2120 | var zi = this.z.redInvm();
|
2121 | this.x = this.x.redMul(zi);
|
2122 | this.y = this.y.redMul(zi);
|
2123 | if (this.t)
|
2124 | this.t = this.t.redMul(zi);
|
2125 | this.z = this.curve.one;
|
2126 | this.zOne = true;
|
2127 | return this;
|
2128 | };
|
2129 |
|
2130 | Point$2.prototype.neg = function neg() {
|
2131 | return this.curve.point(this.x.redNeg(),
|
2132 | this.y,
|
2133 | this.z,
|
2134 | this.t && this.t.redNeg());
|
2135 | };
|
2136 |
|
2137 | Point$2.prototype.getX = function getX() {
|
2138 | this.normalize();
|
2139 | return this.x.fromRed();
|
2140 | };
|
2141 |
|
2142 | Point$2.prototype.getY = function getY() {
|
2143 | this.normalize();
|
2144 | return this.y.fromRed();
|
2145 | };
|
2146 |
|
2147 | Point$2.prototype.eq = function eq(other) {
|
2148 | return this === other ||
|
2149 | this.getX().cmp(other.getX()) === 0 &&
|
2150 | this.getY().cmp(other.getY()) === 0;
|
2151 | };
|
2152 |
|
2153 | Point$2.prototype.eqXToP = function eqXToP(x) {
|
2154 | var rx = x.toRed(this.curve.red).redMul(this.z);
|
2155 | if (this.x.cmp(rx) === 0)
|
2156 | return true;
|
2157 |
|
2158 | var xc = x.clone();
|
2159 | var t = this.curve.redN.redMul(this.z);
|
2160 | for (;;) {
|
2161 | xc.iadd(this.curve.n);
|
2162 | if (xc.cmp(this.curve.p) >= 0)
|
2163 | return false;
|
2164 |
|
2165 | rx.redIAdd(t);
|
2166 | if (this.x.cmp(rx) === 0)
|
2167 | return true;
|
2168 | }
|
2169 | };
|
2170 |
|
2171 |
|
2172 | Point$2.prototype.toP = Point$2.prototype.normalize;
|
2173 | Point$2.prototype.mixedAdd = Point$2.prototype.add;
|
2174 |
|
2175 | var curve_1 = createCommonjsModule(function (module, exports) {
|
2176 |
|
2177 | var curve = exports;
|
2178 |
|
2179 | curve.base = base;
|
2180 | curve.short = short_1;
|
2181 | curve.mont = mont;
|
2182 | curve.edwards = edwards;
|
2183 | });
|
2184 |
|
2185 | var rotl32 = utils.rotl32;
|
2186 | var sum32 = utils.sum32;
|
2187 | var sum32_5 = utils.sum32_5;
|
2188 | var ft_1 = common.ft_1;
|
2189 | var BlockHash = common$1.BlockHash;
|
2190 |
|
2191 | var sha1_K = [
|
2192 | 0x5A827999, 0x6ED9EBA1,
|
2193 | 0x8F1BBCDC, 0xCA62C1D6
|
2194 | ];
|
2195 |
|
2196 | function SHA1() {
|
2197 | if (!(this instanceof SHA1))
|
2198 | return new SHA1();
|
2199 |
|
2200 | BlockHash.call(this);
|
2201 | this.h = [
|
2202 | 0x67452301, 0xefcdab89, 0x98badcfe,
|
2203 | 0x10325476, 0xc3d2e1f0 ];
|
2204 | this.W = new Array(80);
|
2205 | }
|
2206 |
|
2207 | utils.inherits(SHA1, BlockHash);
|
2208 | var _1 = SHA1;
|
2209 |
|
2210 | SHA1.blockSize = 512;
|
2211 | SHA1.outSize = 160;
|
2212 | SHA1.hmacStrength = 80;
|
2213 | SHA1.padLength = 64;
|
2214 |
|
2215 | SHA1.prototype._update = function _update(msg, start) {
|
2216 | var W = this.W;
|
2217 |
|
2218 | for (var i = 0; i < 16; i++)
|
2219 | W[i] = msg[start + i];
|
2220 |
|
2221 | for(; i < W.length; i++)
|
2222 | W[i] = rotl32(W[i - 3] ^ W[i - 8] ^ W[i - 14] ^ W[i - 16], 1);
|
2223 |
|
2224 | var a = this.h[0];
|
2225 | var b = this.h[1];
|
2226 | var c = this.h[2];
|
2227 | var d = this.h[3];
|
2228 | var e = this.h[4];
|
2229 |
|
2230 | for (i = 0; i < W.length; i++) {
|
2231 | var s = ~~(i / 20);
|
2232 | var t = sum32_5(rotl32(a, 5), ft_1(s, b, c, d), e, W[i], sha1_K[s]);
|
2233 | e = d;
|
2234 | d = c;
|
2235 | c = rotl32(b, 30);
|
2236 | b = a;
|
2237 | a = t;
|
2238 | }
|
2239 |
|
2240 | this.h[0] = sum32(this.h[0], a);
|
2241 | this.h[1] = sum32(this.h[1], b);
|
2242 | this.h[2] = sum32(this.h[2], c);
|
2243 | this.h[3] = sum32(this.h[3], d);
|
2244 | this.h[4] = sum32(this.h[4], e);
|
2245 | };
|
2246 |
|
2247 | SHA1.prototype._digest = function digest(enc) {
|
2248 | if (enc === 'hex')
|
2249 | return utils.toHex32(this.h, 'big');
|
2250 | else
|
2251 | return utils.split32(this.h, 'big');
|
2252 | };
|
2253 |
|
2254 | var sha1 = _1;
|
2255 | var sha224 = _224;
|
2256 | var sha256 = _256;
|
2257 | var sha384 = _384;
|
2258 | var sha512 = _512;
|
2259 |
|
2260 | var sha = {
|
2261 | sha1: sha1,
|
2262 | sha224: sha224,
|
2263 | sha256: sha256,
|
2264 | sha384: sha384,
|
2265 | sha512: sha512
|
2266 | };
|
2267 |
|
2268 | function Hmac(hash, key, enc) {
|
2269 | if (!(this instanceof Hmac))
|
2270 | return new Hmac(hash, key, enc);
|
2271 | this.Hash = hash;
|
2272 | this.blockSize = hash.blockSize / 8;
|
2273 | this.outSize = hash.outSize / 8;
|
2274 | this.inner = null;
|
2275 | this.outer = null;
|
2276 |
|
2277 | this._init(utils.toArray(key, enc));
|
2278 | }
|
2279 | var hmac = Hmac;
|
2280 |
|
2281 | Hmac.prototype._init = function init(key) {
|
2282 |
|
2283 | if (key.length > this.blockSize)
|
2284 | key = new this.Hash().update(key).digest();
|
2285 | minimalisticAssert(key.length <= this.blockSize);
|
2286 |
|
2287 |
|
2288 | for (var i = key.length; i < this.blockSize; i++)
|
2289 | key.push(0);
|
2290 |
|
2291 | for (i = 0; i < key.length; i++)
|
2292 | key[i] ^= 0x36;
|
2293 | this.inner = new this.Hash().update(key);
|
2294 |
|
2295 |
|
2296 | for (i = 0; i < key.length; i++)
|
2297 | key[i] ^= 0x6a;
|
2298 | this.outer = new this.Hash().update(key);
|
2299 | };
|
2300 |
|
2301 | Hmac.prototype.update = function update(msg, enc) {
|
2302 | this.inner.update(msg, enc);
|
2303 | return this;
|
2304 | };
|
2305 |
|
2306 | Hmac.prototype.digest = function digest(enc) {
|
2307 | this.outer.update(this.inner.digest());
|
2308 | return this.outer.digest(enc);
|
2309 | };
|
2310 |
|
2311 | var hash_1 = createCommonjsModule(function (module, exports) {
|
2312 | var hash = exports;
|
2313 |
|
2314 | hash.utils = utils;
|
2315 | hash.common = common$1;
|
2316 | hash.sha = sha;
|
2317 | hash.ripemd = ripemd;
|
2318 | hash.hmac = hmac;
|
2319 |
|
2320 |
|
2321 | hash.sha1 = hash.sha.sha1;
|
2322 | hash.sha256 = hash.sha.sha256;
|
2323 | hash.sha224 = hash.sha.sha224;
|
2324 | hash.sha384 = hash.sha.sha384;
|
2325 | hash.sha512 = hash.sha.sha512;
|
2326 | hash.ripemd160 = hash.ripemd.ripemd160;
|
2327 | });
|
2328 |
|
2329 | var secp256k1 = {
|
2330 | doubles: {
|
2331 | step: 4,
|
2332 | points: [
|
2333 | [
|
2334 | 'e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a',
|
2335 | 'f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821'
|
2336 | ],
|
2337 | [
|
2338 | '8282263212c609d9ea2a6e3e172de238d8c39cabd5ac1ca10646e23fd5f51508',
|
2339 | '11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf'
|
2340 | ],
|
2341 | [
|
2342 | '175e159f728b865a72f99cc6c6fc846de0b93833fd2222ed73fce5b551e5b739',
|
2343 | 'd3506e0d9e3c79eba4ef97a51ff71f5eacb5955add24345c6efa6ffee9fed695'
|
2344 | ],
|
2345 | [
|
2346 | '363d90d447b00c9c99ceac05b6262ee053441c7e55552ffe526bad8f83ff4640',
|
2347 | '4e273adfc732221953b445397f3363145b9a89008199ecb62003c7f3bee9de9'
|
2348 | ],
|
2349 | [
|
2350 | '8b4b5f165df3c2be8c6244b5b745638843e4a781a15bcd1b69f79a55dffdf80c',
|
2351 | '4aad0a6f68d308b4b3fbd7813ab0da04f9e336546162ee56b3eff0c65fd4fd36'
|
2352 | ],
|
2353 | [
|
2354 | '723cbaa6e5db996d6bf771c00bd548c7b700dbffa6c0e77bcb6115925232fcda',
|
2355 | '96e867b5595cc498a921137488824d6e2660a0653779494801dc069d9eb39f5f'
|
2356 | ],
|
2357 | [
|
2358 | 'eebfa4d493bebf98ba5feec812c2d3b50947961237a919839a533eca0e7dd7fa',
|
2359 | '5d9a8ca3970ef0f269ee7edaf178089d9ae4cdc3a711f712ddfd4fdae1de8999'
|
2360 | ],
|
2361 | [
|
2362 | '100f44da696e71672791d0a09b7bde459f1215a29b3c03bfefd7835b39a48db0',
|
2363 | 'cdd9e13192a00b772ec8f3300c090666b7ff4a18ff5195ac0fbd5cd62bc65a09'
|
2364 | ],
|
2365 | [
|
2366 | 'e1031be262c7ed1b1dc9227a4a04c017a77f8d4464f3b3852c8acde6e534fd2d',
|
2367 | '9d7061928940405e6bb6a4176597535af292dd419e1ced79a44f18f29456a00d'
|
2368 | ],
|
2369 | [
|
2370 | 'feea6cae46d55b530ac2839f143bd7ec5cf8b266a41d6af52d5e688d9094696d',
|
2371 | 'e57c6b6c97dce1bab06e4e12bf3ecd5c981c8957cc41442d3155debf18090088'
|
2372 | ],
|
2373 | [
|
2374 | 'da67a91d91049cdcb367be4be6ffca3cfeed657d808583de33fa978bc1ec6cb1',
|
2375 | '9bacaa35481642bc41f463f7ec9780e5dec7adc508f740a17e9ea8e27a68be1d'
|
2376 | ],
|
2377 | [
|
2378 | '53904faa0b334cdda6e000935ef22151ec08d0f7bb11069f57545ccc1a37b7c0',
|
2379 | '5bc087d0bc80106d88c9eccac20d3c1c13999981e14434699dcb096b022771c8'
|
2380 | ],
|
2381 | [
|
2382 | '8e7bcd0bd35983a7719cca7764ca906779b53a043a9b8bcaeff959f43ad86047',
|
2383 | '10b7770b2a3da4b3940310420ca9514579e88e2e47fd68b3ea10047e8460372a'
|
2384 | ],
|
2385 | [
|
2386 | '385eed34c1cdff21e6d0818689b81bde71a7f4f18397e6690a841e1599c43862',
|
2387 | '283bebc3e8ea23f56701de19e9ebf4576b304eec2086dc8cc0458fe5542e5453'
|
2388 | ],
|
2389 | [
|
2390 | '6f9d9b803ecf191637c73a4413dfa180fddf84a5947fbc9c606ed86c3fac3a7',
|
2391 | '7c80c68e603059ba69b8e2a30e45c4d47ea4dd2f5c281002d86890603a842160'
|
2392 | ],
|
2393 | [
|
2394 | '3322d401243c4e2582a2147c104d6ecbf774d163db0f5e5313b7e0e742d0e6bd',
|
2395 | '56e70797e9664ef5bfb019bc4ddaf9b72805f63ea2873af624f3a2e96c28b2a0'
|
2396 | ],
|
2397 | [
|
2398 | '85672c7d2de0b7da2bd1770d89665868741b3f9af7643397721d74d28134ab83',
|
2399 | '7c481b9b5b43b2eb6374049bfa62c2e5e77f17fcc5298f44c8e3094f790313a6'
|
2400 | ],
|
2401 | [
|
2402 | '948bf809b1988a46b06c9f1919413b10f9226c60f668832ffd959af60c82a0a',
|
2403 | '53a562856dcb6646dc6b74c5d1c3418c6d4dff08c97cd2bed4cb7f88d8c8e589'
|
2404 | ],
|
2405 | [
|
2406 | '6260ce7f461801c34f067ce0f02873a8f1b0e44dfc69752accecd819f38fd8e8',
|
2407 | 'bc2da82b6fa5b571a7f09049776a1ef7ecd292238051c198c1a84e95b2b4ae17'
|
2408 | ],
|
2409 | [
|
2410 | 'e5037de0afc1d8d43d8348414bbf4103043ec8f575bfdc432953cc8d2037fa2d',
|
2411 | '4571534baa94d3b5f9f98d09fb990bddbd5f5b03ec481f10e0e5dc841d755bda'
|
2412 | ],
|
2413 | [
|
2414 | 'e06372b0f4a207adf5ea905e8f1771b4e7e8dbd1c6a6c5b725866a0ae4fce725',
|
2415 | '7a908974bce18cfe12a27bb2ad5a488cd7484a7787104870b27034f94eee31dd'
|
2416 | ],
|
2417 | [
|
2418 | '213c7a715cd5d45358d0bbf9dc0ce02204b10bdde2a3f58540ad6908d0559754',
|
2419 | '4b6dad0b5ae462507013ad06245ba190bb4850f5f36a7eeddff2c27534b458f2'
|
2420 | ],
|
2421 | [
|
2422 | '4e7c272a7af4b34e8dbb9352a5419a87e2838c70adc62cddf0cc3a3b08fbd53c',
|
2423 | '17749c766c9d0b18e16fd09f6def681b530b9614bff7dd33e0b3941817dcaae6'
|
2424 | ],
|
2425 | [
|
2426 | 'fea74e3dbe778b1b10f238ad61686aa5c76e3db2be43057632427e2840fb27b6',
|
2427 | '6e0568db9b0b13297cf674deccb6af93126b596b973f7b77701d3db7f23cb96f'
|
2428 | ],
|
2429 | [
|
2430 | '76e64113f677cf0e10a2570d599968d31544e179b760432952c02a4417bdde39',
|
2431 | 'c90ddf8dee4e95cf577066d70681f0d35e2a33d2b56d2032b4b1752d1901ac01'
|
2432 | ],
|
2433 | [
|
2434 | 'c738c56b03b2abe1e8281baa743f8f9a8f7cc643df26cbee3ab150242bcbb891',
|
2435 | '893fb578951ad2537f718f2eacbfbbbb82314eef7880cfe917e735d9699a84c3'
|
2436 | ],
|
2437 | [
|
2438 | 'd895626548b65b81e264c7637c972877d1d72e5f3a925014372e9f6588f6c14b',
|
2439 | 'febfaa38f2bc7eae728ec60818c340eb03428d632bb067e179363ed75d7d991f'
|
2440 | ],
|
2441 | [
|
2442 | 'b8da94032a957518eb0f6433571e8761ceffc73693e84edd49150a564f676e03',
|
2443 | '2804dfa44805a1e4d7c99cc9762808b092cc584d95ff3b511488e4e74efdf6e7'
|
2444 | ],
|
2445 | [
|
2446 | 'e80fea14441fb33a7d8adab9475d7fab2019effb5156a792f1a11778e3c0df5d',
|
2447 | 'eed1de7f638e00771e89768ca3ca94472d155e80af322ea9fcb4291b6ac9ec78'
|
2448 | ],
|
2449 | [
|
2450 | 'a301697bdfcd704313ba48e51d567543f2a182031efd6915ddc07bbcc4e16070',
|
2451 | '7370f91cfb67e4f5081809fa25d40f9b1735dbf7c0a11a130c0d1a041e177ea1'
|
2452 | ],
|
2453 | [
|
2454 | '90ad85b389d6b936463f9d0512678de208cc330b11307fffab7ac63e3fb04ed4',
|
2455 | 'e507a3620a38261affdcbd9427222b839aefabe1582894d991d4d48cb6ef150'
|
2456 | ],
|
2457 | [
|
2458 | '8f68b9d2f63b5f339239c1ad981f162ee88c5678723ea3351b7b444c9ec4c0da',
|
2459 | '662a9f2dba063986de1d90c2b6be215dbbea2cfe95510bfdf23cbf79501fff82'
|
2460 | ],
|
2461 | [
|
2462 | 'e4f3fb0176af85d65ff99ff9198c36091f48e86503681e3e6686fd5053231e11',
|
2463 | '1e63633ad0ef4f1c1661a6d0ea02b7286cc7e74ec951d1c9822c38576feb73bc'
|
2464 | ],
|
2465 | [
|
2466 | '8c00fa9b18ebf331eb961537a45a4266c7034f2f0d4e1d0716fb6eae20eae29e',
|
2467 | 'efa47267fea521a1a9dc343a3736c974c2fadafa81e36c54e7d2a4c66702414b'
|
2468 | ],
|
2469 | [
|
2470 | 'e7a26ce69dd4829f3e10cec0a9e98ed3143d084f308b92c0997fddfc60cb3e41',
|
2471 | '2a758e300fa7984b471b006a1aafbb18d0a6b2c0420e83e20e8a9421cf2cfd51'
|
2472 | ],
|
2473 | [
|
2474 | 'b6459e0ee3662ec8d23540c223bcbdc571cbcb967d79424f3cf29eb3de6b80ef',
|
2475 | '67c876d06f3e06de1dadf16e5661db3c4b3ae6d48e35b2ff30bf0b61a71ba45'
|
2476 | ],
|
2477 | [
|
2478 | 'd68a80c8280bb840793234aa118f06231d6f1fc67e73c5a5deda0f5b496943e8',
|
2479 | 'db8ba9fff4b586d00c4b1f9177b0e28b5b0e7b8f7845295a294c84266b133120'
|
2480 | ],
|
2481 | [
|
2482 | '324aed7df65c804252dc0270907a30b09612aeb973449cea4095980fc28d3d5d',
|
2483 | '648a365774b61f2ff130c0c35aec1f4f19213b0c7e332843967224af96ab7c84'
|
2484 | ],
|
2485 | [
|
2486 | '4df9c14919cde61f6d51dfdbe5fee5dceec4143ba8d1ca888e8bd373fd054c96',
|
2487 | '35ec51092d8728050974c23a1d85d4b5d506cdc288490192ebac06cad10d5d'
|
2488 | ],
|
2489 | [
|
2490 | '9c3919a84a474870faed8a9c1cc66021523489054d7f0308cbfc99c8ac1f98cd',
|
2491 | 'ddb84f0f4a4ddd57584f044bf260e641905326f76c64c8e6be7e5e03d4fc599d'
|
2492 | ],
|
2493 | [
|
2494 | '6057170b1dd12fdf8de05f281d8e06bb91e1493a8b91d4cc5a21382120a959e5',
|
2495 | '9a1af0b26a6a4807add9a2daf71df262465152bc3ee24c65e899be932385a2a8'
|
2496 | ],
|
2497 | [
|
2498 | 'a576df8e23a08411421439a4518da31880cef0fba7d4df12b1a6973eecb94266',
|
2499 | '40a6bf20e76640b2c92b97afe58cd82c432e10a7f514d9f3ee8be11ae1b28ec8'
|
2500 | ],
|
2501 | [
|
2502 | '7778a78c28dec3e30a05fe9629de8c38bb30d1f5cf9a3a208f763889be58ad71',
|
2503 | '34626d9ab5a5b22ff7098e12f2ff580087b38411ff24ac563b513fc1fd9f43ac'
|
2504 | ],
|
2505 | [
|
2506 | '928955ee637a84463729fd30e7afd2ed5f96274e5ad7e5cb09eda9c06d903ac',
|
2507 | 'c25621003d3f42a827b78a13093a95eeac3d26efa8a8d83fc5180e935bcd091f'
|
2508 | ],
|
2509 | [
|
2510 | '85d0fef3ec6db109399064f3a0e3b2855645b4a907ad354527aae75163d82751',
|
2511 | '1f03648413a38c0be29d496e582cf5663e8751e96877331582c237a24eb1f962'
|
2512 | ],
|
2513 | [
|
2514 | 'ff2b0dce97eece97c1c9b6041798b85dfdfb6d8882da20308f5404824526087e',
|
2515 | '493d13fef524ba188af4c4dc54d07936c7b7ed6fb90e2ceb2c951e01f0c29907'
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2516 | ],
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3092 | 'ed8cc9d04b29eb877d270b4878dc43c19aefd31f4eee09ee7b47834c1fa4b1c3'
|
3093 | ],
|
3094 | [
|
3095 | '75d46efea3771e6e68abb89a13ad747ecf1892393dfc4f1b7004788c50374da8',
|
3096 | '9852390a99507679fd0b86fd2b39a868d7efc22151346e1a3ca4726586a6bed8'
|
3097 | ],
|
3098 | [
|
3099 | '809a20c67d64900ffb698c4c825f6d5f2310fb0451c869345b7319f645605721',
|
3100 | '9e994980d9917e22b76b061927fa04143d096ccc54963e6a5ebfa5f3f8e286c1'
|
3101 | ],
|
3102 | [
|
3103 | '1b38903a43f7f114ed4500b4eac7083fdefece1cf29c63528d563446f972c180',
|
3104 | '4036edc931a60ae889353f77fd53de4a2708b26b6f5da72ad3394119daf408f9'
|
3105 | ]
|
3106 | ]
|
3107 | }
|
3108 | };
|
3109 |
|
3110 | var curves_1 = createCommonjsModule(function (module, exports) {
|
3111 |
|
3112 | var curves = exports;
|
3113 |
|
3114 |
|
3115 |
|
3116 |
|
3117 |
|
3118 | var assert = utils_1$1.assert;
|
3119 |
|
3120 | function PresetCurve(options) {
|
3121 | if (options.type === 'short')
|
3122 | this.curve = new curve_1.short(options);
|
3123 | else if (options.type === 'edwards')
|
3124 | this.curve = new curve_1.edwards(options);
|
3125 | else if (options.type === 'mont')
|
3126 | this.curve = new curve_1.mont(options);
|
3127 | else throw new Error('Unknown curve type.');
|
3128 | this.g = this.curve.g;
|
3129 | this.n = this.curve.n;
|
3130 | this.hash = options.hash;
|
3131 |
|
3132 | assert(this.g.validate(), 'Invalid curve');
|
3133 | assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, n*G != O');
|
3134 | }
|
3135 | curves.PresetCurve = PresetCurve;
|
3136 |
|
3137 | function defineCurve(name, options) {
|
3138 | Object.defineProperty(curves, name, {
|
3139 | configurable: true,
|
3140 | enumerable: true,
|
3141 | get: function() {
|
3142 | var curve = new PresetCurve(options);
|
3143 | Object.defineProperty(curves, name, {
|
3144 | configurable: true,
|
3145 | enumerable: true,
|
3146 | value: curve
|
3147 | });
|
3148 | return curve;
|
3149 | }
|
3150 | });
|
3151 | }
|
3152 |
|
3153 | defineCurve('p192', {
|
3154 | type: 'short',
|
3155 | prime: 'p192',
|
3156 | p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff',
|
3157 | a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc',
|
3158 | b: '64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1',
|
3159 | n: 'ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831',
|
3160 | hash: hash_1.sha256,
|
3161 | gRed: false,
|
3162 | g: [
|
3163 | '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012',
|
3164 | '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811'
|
3165 | ]
|
3166 | });
|
3167 |
|
3168 | defineCurve('p224', {
|
3169 | type: 'short',
|
3170 | prime: 'p224',
|
3171 | p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001',
|
3172 | a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe',
|
3173 | b: 'b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4',
|
3174 | n: 'ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d',
|
3175 | hash: hash_1.sha256,
|
3176 | gRed: false,
|
3177 | g: [
|
3178 | 'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21',
|
3179 | 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34'
|
3180 | ]
|
3181 | });
|
3182 |
|
3183 | defineCurve('p256', {
|
3184 | type: 'short',
|
3185 | prime: null,
|
3186 | p: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff',
|
3187 | a: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc',
|
3188 | b: '5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b',
|
3189 | n: 'ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551',
|
3190 | hash: hash_1.sha256,
|
3191 | gRed: false,
|
3192 | g: [
|
3193 | '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296',
|
3194 | '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5'
|
3195 | ]
|
3196 | });
|
3197 |
|
3198 | defineCurve('p384', {
|
3199 | type: 'short',
|
3200 | prime: null,
|
3201 | p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
|
3202 | 'fffffffe ffffffff 00000000 00000000 ffffffff',
|
3203 | a: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
|
3204 | 'fffffffe ffffffff 00000000 00000000 fffffffc',
|
3205 | b: 'b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f ' +
|
3206 | '5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef',
|
3207 | n: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 ' +
|
3208 | 'f4372ddf 581a0db2 48b0a77a ecec196a ccc52973',
|
3209 | hash: hash_1.sha384,
|
3210 | gRed: false,
|
3211 | g: [
|
3212 | 'aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 ' +
|
3213 | '5502f25d bf55296c 3a545e38 72760ab7',
|
3214 | '3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 ' +
|
3215 | '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f'
|
3216 | ]
|
3217 | });
|
3218 |
|
3219 | defineCurve('p521', {
|
3220 | type: 'short',
|
3221 | prime: null,
|
3222 | p: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
|
3223 | 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
|
3224 | 'ffffffff ffffffff ffffffff ffffffff ffffffff',
|
3225 | a: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
|
3226 | 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
|
3227 | 'ffffffff ffffffff ffffffff ffffffff fffffffc',
|
3228 | b: '00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b ' +
|
3229 | '99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd ' +
|
3230 | '3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00',
|
3231 | n: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
|
3232 | 'ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 ' +
|
3233 | 'f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409',
|
3234 | hash: hash_1.sha512,
|
3235 | gRed: false,
|
3236 | g: [
|
3237 | '000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 ' +
|
3238 | '053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 ' +
|
3239 | 'a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66',
|
3240 | '00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 ' +
|
3241 | '579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 ' +
|
3242 | '3fad0761 353c7086 a272c240 88be9476 9fd16650'
|
3243 | ]
|
3244 | });
|
3245 |
|
3246 |
|
3247 | defineCurve('curve25519', {
|
3248 | type: 'mont',
|
3249 | prime: 'p25519',
|
3250 | p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',
|
3251 | a: '76d06',
|
3252 | b: '1',
|
3253 | n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',
|
3254 | cofactor: '8',
|
3255 | hash: hash_1.sha256,
|
3256 | gRed: false,
|
3257 | g: [
|
3258 | '9'
|
3259 | ]
|
3260 | });
|
3261 |
|
3262 | defineCurve('ed25519', {
|
3263 | type: 'edwards',
|
3264 | prime: 'p25519',
|
3265 | p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',
|
3266 | a: '-1',
|
3267 | c: '1',
|
3268 |
|
3269 | d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3',
|
3270 | n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',
|
3271 | cofactor: '8',
|
3272 | hash: hash_1.sha256,
|
3273 | gRed: false,
|
3274 | g: [
|
3275 | '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a',
|
3276 |
|
3277 | '6666666666666666666666666666666666666666666666666666666666666658'
|
3278 | ]
|
3279 | });
|
3280 |
|
3281 |
|
3282 | defineCurve('brainpoolP256r1', {
|
3283 | type: 'short',
|
3284 | prime: null,
|
3285 | p: 'A9FB57DB A1EEA9BC 3E660A90 9D838D72 6E3BF623 D5262028 2013481D 1F6E5377',
|
3286 | a: '7D5A0975 FC2C3057 EEF67530 417AFFE7 FB8055C1 26DC5C6C E94A4B44 F330B5D9',
|
3287 | b: '26DC5C6C E94A4B44 F330B5D9 BBD77CBF 95841629 5CF7E1CE 6BCCDC18 FF8C07B6',
|
3288 | n: 'A9FB57DB A1EEA9BC 3E660A90 9D838D71 8C397AA3 B561A6F7 901E0E82 974856A7',
|
3289 | hash: hash_1.sha256,
|
3290 | gRed: false,
|
3291 | g: [
|
3292 | '8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262',
|
3293 | '547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997'
|
3294 | ]
|
3295 | });
|
3296 |
|
3297 |
|
3298 | defineCurve('brainpoolP384r1', {
|
3299 | type: 'short',
|
3300 | prime: null,
|
3301 | p: '8CB91E82 A3386D28 0F5D6F7E 50E641DF 152F7109 ED5456B4 12B1DA19 7FB71123' +
|
3302 | 'ACD3A729 901D1A71 87470013 3107EC53',
|
3303 | a: '7BC382C6 3D8C150C 3C72080A CE05AFA0 C2BEA28E 4FB22787 139165EF BA91F90F' +
|
3304 | '8AA5814A 503AD4EB 04A8C7DD 22CE2826',
|
3305 | b: '04A8C7DD 22CE2826 8B39B554 16F0447C 2FB77DE1 07DCD2A6 2E880EA5 3EEB62D5' +
|
3306 | '7CB43902 95DBC994 3AB78696 FA504C11',
|
3307 | n: '8CB91E82 A3386D28 0F5D6F7E 50E641DF 152F7109 ED5456B3 1F166E6C AC0425A7' +
|
3308 | 'CF3AB6AF 6B7FC310 3B883202 E9046565',
|
3309 | hash: hash_1.sha384,
|
3310 | gRed: false,
|
3311 | g: [
|
3312 | '1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10' +
|
3313 | 'E8E826E03436D646AAEF87B2E247D4AF1E',
|
3314 | '8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129' +
|
3315 | '280E4646217791811142820341263C5315'
|
3316 | ]
|
3317 | });
|
3318 |
|
3319 |
|
3320 | defineCurve('brainpoolP512r1', {
|
3321 | type: 'short',
|
3322 | prime: null,
|
3323 | p: 'AADD9DB8 DBE9C48B 3FD4E6AE 33C9FC07 CB308DB3 B3C9D20E D6639CCA 70330871' +
|
3324 | '7D4D9B00 9BC66842 AECDA12A E6A380E6 2881FF2F 2D82C685 28AA6056 583A48F3',
|
3325 | a: '7830A331 8B603B89 E2327145 AC234CC5 94CBDD8D 3DF91610 A83441CA EA9863BC' +
|
3326 | '2DED5D5A A8253AA1 0A2EF1C9 8B9AC8B5 7F1117A7 2BF2C7B9 E7C1AC4D 77FC94CA',
|
3327 | b: '3DF91610 A83441CA EA9863BC 2DED5D5A A8253AA1 0A2EF1C9 8B9AC8B5 7F1117A7' +
|
3328 | '2BF2C7B9 E7C1AC4D 77FC94CA DC083E67 984050B7 5EBAE5DD 2809BD63 8016F723',
|
3329 | n: 'AADD9DB8 DBE9C48B 3FD4E6AE 33C9FC07 CB308DB3 B3C9D20E D6639CCA 70330870' +
|
3330 | '553E5C41 4CA92619 41866119 7FAC1047 1DB1D381 085DDADD B5879682 9CA90069',
|
3331 | hash: hash_1.sha512,
|
3332 | gRed: false,
|
3333 | g: [
|
3334 | '81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D009' +
|
3335 | '8EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822',
|
3336 | '7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F81' +
|
3337 | '11B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892'
|
3338 | ]
|
3339 | });
|
3340 |
|
3341 |
|
3342 | var pre;
|
3343 | try {
|
3344 | pre = secp256k1;
|
3345 | } catch (e) {
|
3346 | pre = undefined;
|
3347 | }
|
3348 |
|
3349 | defineCurve('secp256k1', {
|
3350 | type: 'short',
|
3351 | prime: 'k256',
|
3352 | p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f',
|
3353 | a: '0',
|
3354 | b: '7',
|
3355 | n: 'ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141',
|
3356 | h: '1',
|
3357 | hash: hash_1.sha256,
|
3358 |
|
3359 |
|
3360 | beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee',
|
3361 | lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72',
|
3362 | basis: [
|
3363 | {
|
3364 | a: '3086d221a7d46bcde86c90e49284eb15',
|
3365 | b: '-e4437ed6010e88286f547fa90abfe4c3'
|
3366 | },
|
3367 | {
|
3368 | a: '114ca50f7a8e2f3f657c1108d9d44cfd8',
|
3369 | b: '3086d221a7d46bcde86c90e49284eb15'
|
3370 | }
|
3371 | ],
|
3372 |
|
3373 | gRed: false,
|
3374 | g: [
|
3375 | '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',
|
3376 | '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
|
3377 | pre
|
3378 | ]
|
3379 | });
|
3380 | });
|
3381 |
|
3382 | function HmacDRBG(options) {
|
3383 | if (!(this instanceof HmacDRBG))
|
3384 | return new HmacDRBG(options);
|
3385 | this.hash = options.hash;
|
3386 | this.predResist = !!options.predResist;
|
3387 |
|
3388 | this.outLen = this.hash.outSize;
|
3389 | this.minEntropy = options.minEntropy || this.hash.hmacStrength;
|
3390 |
|
3391 | this._reseed = null;
|
3392 | this.reseedInterval = null;
|
3393 | this.K = null;
|
3394 | this.V = null;
|
3395 |
|
3396 | var entropy = utils_1.toArray(options.entropy, options.entropyEnc || 'hex');
|
3397 | var nonce = utils_1.toArray(options.nonce, options.nonceEnc || 'hex');
|
3398 | var pers = utils_1.toArray(options.pers, options.persEnc || 'hex');
|
3399 | minimalisticAssert(entropy.length >= (this.minEntropy / 8),
|
3400 | 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits');
|
3401 | this._init(entropy, nonce, pers);
|
3402 | }
|
3403 | var hmacDrbg = HmacDRBG;
|
3404 |
|
3405 | HmacDRBG.prototype._init = function init(entropy, nonce, pers) {
|
3406 | var seed = entropy.concat(nonce).concat(pers);
|
3407 |
|
3408 | this.K = new Array(this.outLen / 8);
|
3409 | this.V = new Array(this.outLen / 8);
|
3410 | for (var i = 0; i < this.V.length; i++) {
|
3411 | this.K[i] = 0x00;
|
3412 | this.V[i] = 0x01;
|
3413 | }
|
3414 |
|
3415 | this._update(seed);
|
3416 | this._reseed = 1;
|
3417 | this.reseedInterval = 0x1000000000000;
|
3418 | };
|
3419 |
|
3420 | HmacDRBG.prototype._hmac = function hmac() {
|
3421 | return new hash_1.hmac(this.hash, this.K);
|
3422 | };
|
3423 |
|
3424 | HmacDRBG.prototype._update = function update(seed) {
|
3425 | var kmac = this._hmac()
|
3426 | .update(this.V)
|
3427 | .update([ 0x00 ]);
|
3428 | if (seed)
|
3429 | kmac = kmac.update(seed);
|
3430 | this.K = kmac.digest();
|
3431 | this.V = this._hmac().update(this.V).digest();
|
3432 | if (!seed)
|
3433 | return;
|
3434 |
|
3435 | this.K = this._hmac()
|
3436 | .update(this.V)
|
3437 | .update([ 0x01 ])
|
3438 | .update(seed)
|
3439 | .digest();
|
3440 | this.V = this._hmac().update(this.V).digest();
|
3441 | };
|
3442 |
|
3443 | HmacDRBG.prototype.reseed = function reseed(entropy, entropyEnc, add, addEnc) {
|
3444 |
|
3445 | if (typeof entropyEnc !== 'string') {
|
3446 | addEnc = add;
|
3447 | add = entropyEnc;
|
3448 | entropyEnc = null;
|
3449 | }
|
3450 |
|
3451 | entropy = utils_1.toArray(entropy, entropyEnc);
|
3452 | add = utils_1.toArray(add, addEnc);
|
3453 |
|
3454 | minimalisticAssert(entropy.length >= (this.minEntropy / 8),
|
3455 | 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits');
|
3456 |
|
3457 | this._update(entropy.concat(add || []));
|
3458 | this._reseed = 1;
|
3459 | };
|
3460 |
|
3461 | HmacDRBG.prototype.generate = function generate(len, enc, add, addEnc) {
|
3462 | if (this._reseed > this.reseedInterval)
|
3463 | throw new Error('Reseed is required');
|
3464 |
|
3465 |
|
3466 | if (typeof enc !== 'string') {
|
3467 | addEnc = add;
|
3468 | add = enc;
|
3469 | enc = null;
|
3470 | }
|
3471 |
|
3472 |
|
3473 | if (add) {
|
3474 | add = utils_1.toArray(add, addEnc || 'hex');
|
3475 | this._update(add);
|
3476 | }
|
3477 |
|
3478 | var temp = [];
|
3479 | while (temp.length < len) {
|
3480 | this.V = this._hmac().update(this.V).digest();
|
3481 | temp = temp.concat(this.V);
|
3482 | }
|
3483 |
|
3484 | var res = temp.slice(0, len);
|
3485 | this._update(add);
|
3486 | this._reseed++;
|
3487 | return utils_1.encode(res, enc);
|
3488 | };
|
3489 |
|
3490 | var assert$3 = utils_1$1.assert;
|
3491 |
|
3492 | function KeyPair(ec, options) {
|
3493 | this.ec = ec;
|
3494 | this.priv = null;
|
3495 | this.pub = null;
|
3496 |
|
3497 |
|
3498 | if (options.priv)
|
3499 | this._importPrivate(options.priv, options.privEnc);
|
3500 | if (options.pub)
|
3501 | this._importPublic(options.pub, options.pubEnc);
|
3502 | }
|
3503 | var key = KeyPair;
|
3504 |
|
3505 | KeyPair.fromPublic = function fromPublic(ec, pub, enc) {
|
3506 | if (pub instanceof KeyPair)
|
3507 | return pub;
|
3508 |
|
3509 | return new KeyPair(ec, {
|
3510 | pub: pub,
|
3511 | pubEnc: enc
|
3512 | });
|
3513 | };
|
3514 |
|
3515 | KeyPair.fromPrivate = function fromPrivate(ec, priv, enc) {
|
3516 | if (priv instanceof KeyPair)
|
3517 | return priv;
|
3518 |
|
3519 | return new KeyPair(ec, {
|
3520 | priv: priv,
|
3521 | privEnc: enc
|
3522 | });
|
3523 | };
|
3524 |
|
3525 |
|
3526 | KeyPair.prototype.validate = function validate() {
|
3527 | var pub = this.getPublic();
|
3528 |
|
3529 | if (pub.isInfinity())
|
3530 | return { result: false, reason: 'Invalid public key' };
|
3531 | if (!pub.validate())
|
3532 | return { result: false, reason: 'Public key is not a point' };
|
3533 | if (!pub.mul(this.ec.curve.n).isInfinity())
|
3534 | return { result: false, reason: 'Public key * N != O' };
|
3535 |
|
3536 | return { result: true, reason: null };
|
3537 | };
|
3538 |
|
3539 | KeyPair.prototype.getPublic = function getPublic(enc, compact) {
|
3540 | if (!this.pub)
|
3541 | this.pub = this.ec.g.mul(this.priv);
|
3542 |
|
3543 | if (!enc)
|
3544 | return this.pub;
|
3545 |
|
3546 | return this.pub.encode(enc, compact);
|
3547 | };
|
3548 |
|
3549 | KeyPair.prototype.getPrivate = function getPrivate(enc) {
|
3550 | if (enc === 'hex')
|
3551 | return this.priv.toString(16, 2);
|
3552 | else
|
3553 | return this.priv;
|
3554 | };
|
3555 |
|
3556 | KeyPair.prototype._importPrivate = function _importPrivate(key, enc) {
|
3557 | this.priv = new bn(key, enc || 16);
|
3558 |
|
3559 |
|
3560 |
|
3561 | if (this.ec.curve.type === 'mont') {
|
3562 | var one = this.ec.curve.one;
|
3563 | var mask = one.ushln(255 - 3).sub(one).ushln(3);
|
3564 | this.priv = this.priv.or(one.ushln(255 - 1));
|
3565 | this.priv = this.priv.and(mask);
|
3566 | } else
|
3567 |
|
3568 |
|
3569 | this.priv = this.priv.umod(this.ec.curve.n);
|
3570 | };
|
3571 |
|
3572 | KeyPair.prototype._importPublic = function _importPublic(key, enc) {
|
3573 | if (key.x || key.y) {
|
3574 |
|
3575 |
|
3576 |
|
3577 | if (this.ec.curve.type === 'mont') {
|
3578 | assert$3(key.x, 'Need x coordinate');
|
3579 | } else if (this.ec.curve.type === 'short' ||
|
3580 | this.ec.curve.type === 'edwards') {
|
3581 | assert$3(key.x && key.y, 'Need both x and y coordinate');
|
3582 | }
|
3583 | this.pub = this.ec.curve.point(key.x, key.y);
|
3584 | return;
|
3585 | }
|
3586 | this.pub = this.ec.curve.decodePoint(key, enc);
|
3587 | };
|
3588 |
|
3589 |
|
3590 | KeyPair.prototype.derive = function derive(pub) {
|
3591 | return pub.mul(this.priv).getX();
|
3592 | };
|
3593 |
|
3594 |
|
3595 | KeyPair.prototype.sign = function sign(msg, enc, options) {
|
3596 | return this.ec.sign(msg, this, enc, options);
|
3597 | };
|
3598 |
|
3599 | KeyPair.prototype.verify = function verify(msg, signature) {
|
3600 | return this.ec.verify(msg, signature, this);
|
3601 | };
|
3602 |
|
3603 | KeyPair.prototype.inspect = function inspect() {
|
3604 | return '<Key priv: ' + (this.priv && this.priv.toString(16, 2)) +
|
3605 | ' pub: ' + (this.pub && this.pub.inspect()) + ' >';
|
3606 | };
|
3607 |
|
3608 | var assert$4 = utils_1$1.assert;
|
3609 |
|
3610 | function Signature(options, enc) {
|
3611 | if (options instanceof Signature)
|
3612 | return options;
|
3613 |
|
3614 | if (this._importDER(options, enc))
|
3615 | return;
|
3616 |
|
3617 | assert$4(options.r && options.s, 'Signature without r or s');
|
3618 | this.r = new bn(options.r, 16);
|
3619 | this.s = new bn(options.s, 16);
|
3620 | if (options.recoveryParam === undefined)
|
3621 | this.recoveryParam = null;
|
3622 | else
|
3623 | this.recoveryParam = options.recoveryParam;
|
3624 | }
|
3625 | var signature = Signature;
|
3626 |
|
3627 | function Position() {
|
3628 | this.place = 0;
|
3629 | }
|
3630 |
|
3631 | function getLength(buf, p) {
|
3632 | var initial = buf[p.place++];
|
3633 | if (!(initial & 0x80)) {
|
3634 | return initial;
|
3635 | }
|
3636 | var octetLen = initial & 0xf;
|
3637 | var val = 0;
|
3638 | for (var i = 0, off = p.place; i < octetLen; i++, off++) {
|
3639 | val <<= 8;
|
3640 | val |= buf[off];
|
3641 | }
|
3642 | p.place = off;
|
3643 | return val;
|
3644 | }
|
3645 |
|
3646 | function rmPadding(buf) {
|
3647 | var i = 0;
|
3648 | var len = buf.length - 1;
|
3649 | while (!buf[i] && !(buf[i + 1] & 0x80) && i < len) {
|
3650 | i++;
|
3651 | }
|
3652 | if (i === 0) {
|
3653 | return buf;
|
3654 | }
|
3655 | return buf.slice(i);
|
3656 | }
|
3657 |
|
3658 | Signature.prototype._importDER = function _importDER(data, enc) {
|
3659 | data = utils_1$1.toArray(data, enc);
|
3660 | var p = new Position();
|
3661 | if (data[p.place++] !== 0x30) {
|
3662 | return false;
|
3663 | }
|
3664 | var len = getLength(data, p);
|
3665 | if ((len + p.place) !== data.length) {
|
3666 | return false;
|
3667 | }
|
3668 | if (data[p.place++] !== 0x02) {
|
3669 | return false;
|
3670 | }
|
3671 | var rlen = getLength(data, p);
|
3672 | var r = data.slice(p.place, rlen + p.place);
|
3673 | p.place += rlen;
|
3674 | if (data[p.place++] !== 0x02) {
|
3675 | return false;
|
3676 | }
|
3677 | var slen = getLength(data, p);
|
3678 | if (data.length !== slen + p.place) {
|
3679 | return false;
|
3680 | }
|
3681 | var s = data.slice(p.place, slen + p.place);
|
3682 | if (r[0] === 0 && (r[1] & 0x80)) {
|
3683 | r = r.slice(1);
|
3684 | }
|
3685 | if (s[0] === 0 && (s[1] & 0x80)) {
|
3686 | s = s.slice(1);
|
3687 | }
|
3688 |
|
3689 | this.r = new bn(r);
|
3690 | this.s = new bn(s);
|
3691 | this.recoveryParam = null;
|
3692 |
|
3693 | return true;
|
3694 | };
|
3695 |
|
3696 | function constructLength(arr, len) {
|
3697 | if (len < 0x80) {
|
3698 | arr.push(len);
|
3699 | return;
|
3700 | }
|
3701 | var octets = 1 + (Math.log(len) / Math.LN2 >>> 3);
|
3702 | arr.push(octets | 0x80);
|
3703 | while (--octets) {
|
3704 | arr.push((len >>> (octets << 3)) & 0xff);
|
3705 | }
|
3706 | arr.push(len);
|
3707 | }
|
3708 |
|
3709 | Signature.prototype.toDER = function toDER(enc) {
|
3710 | var r = this.r.toArray();
|
3711 | var s = this.s.toArray();
|
3712 |
|
3713 |
|
3714 | if (r[0] & 0x80)
|
3715 | r = [ 0 ].concat(r);
|
3716 |
|
3717 | if (s[0] & 0x80)
|
3718 | s = [ 0 ].concat(s);
|
3719 |
|
3720 | r = rmPadding(r);
|
3721 | s = rmPadding(s);
|
3722 |
|
3723 | while (!s[0] && !(s[1] & 0x80)) {
|
3724 | s = s.slice(1);
|
3725 | }
|
3726 | var arr = [ 0x02 ];
|
3727 | constructLength(arr, r.length);
|
3728 | arr = arr.concat(r);
|
3729 | arr.push(0x02);
|
3730 | constructLength(arr, s.length);
|
3731 | var backHalf = arr.concat(s);
|
3732 | var res = [ 0x30 ];
|
3733 | constructLength(res, backHalf.length);
|
3734 | res = res.concat(backHalf);
|
3735 | return utils_1$1.encode(res, enc);
|
3736 | };
|
3737 |
|
3738 | var assert$5 = utils_1$1.assert;
|
3739 |
|
3740 |
|
3741 |
|
3742 |
|
3743 | function EC(options) {
|
3744 | if (!(this instanceof EC))
|
3745 | return new EC(options);
|
3746 |
|
3747 |
|
3748 | if (typeof options === 'string') {
|
3749 | assert$5(curves_1.hasOwnProperty(options), 'Unknown curve ' + options);
|
3750 |
|
3751 | options = curves_1[options];
|
3752 | }
|
3753 |
|
3754 |
|
3755 | if (options instanceof curves_1.PresetCurve)
|
3756 | options = { curve: options };
|
3757 |
|
3758 | this.curve = options.curve.curve;
|
3759 | this.n = this.curve.n;
|
3760 | this.nh = this.n.ushrn(1);
|
3761 | this.g = this.curve.g;
|
3762 |
|
3763 |
|
3764 | this.g = options.curve.g;
|
3765 | this.g.precompute(options.curve.n.bitLength() + 1);
|
3766 |
|
3767 |
|
3768 | this.hash = options.hash || options.curve.hash;
|
3769 | }
|
3770 | var ec = EC;
|
3771 |
|
3772 | EC.prototype.keyPair = function keyPair(options) {
|
3773 | return new key(this, options);
|
3774 | };
|
3775 |
|
3776 | EC.prototype.keyFromPrivate = function keyFromPrivate(priv, enc) {
|
3777 | return key.fromPrivate(this, priv, enc);
|
3778 | };
|
3779 |
|
3780 | EC.prototype.keyFromPublic = function keyFromPublic(pub, enc) {
|
3781 | return key.fromPublic(this, pub, enc);
|
3782 | };
|
3783 |
|
3784 | EC.prototype.genKeyPair = function genKeyPair(options) {
|
3785 | if (!options)
|
3786 | options = {};
|
3787 |
|
3788 |
|
3789 | var drbg = new hmacDrbg({
|
3790 | hash: this.hash,
|
3791 | pers: options.pers,
|
3792 | persEnc: options.persEnc || 'utf8',
|
3793 | entropy: options.entropy || brorand(this.hash.hmacStrength),
|
3794 | entropyEnc: options.entropy && options.entropyEnc || 'utf8',
|
3795 | nonce: this.n.toArray()
|
3796 | });
|
3797 |
|
3798 |
|
3799 | if (this.curve.type === 'mont') {
|
3800 | var priv = new bn(drbg.generate(32));
|
3801 | return this.keyFromPrivate(priv);
|
3802 | }
|
3803 |
|
3804 | var bytes = this.n.byteLength();
|
3805 | var ns2 = this.n.sub(new bn(2));
|
3806 | do {
|
3807 | var priv = new bn(drbg.generate(bytes));
|
3808 | if (priv.cmp(ns2) > 0)
|
3809 | continue;
|
3810 |
|
3811 | priv.iaddn(1);
|
3812 | return this.keyFromPrivate(priv);
|
3813 | } while (true);
|
3814 | };
|
3815 |
|
3816 | EC.prototype._truncateToN = function truncateToN(msg, truncOnly, bitSize) {
|
3817 | bitSize = bitSize || msg.byteLength() * 8;
|
3818 | var delta = bitSize - this.n.bitLength();
|
3819 | if (delta > 0)
|
3820 | msg = msg.ushrn(delta);
|
3821 | if (!truncOnly && msg.cmp(this.n) >= 0)
|
3822 | return msg.sub(this.n);
|
3823 | else
|
3824 | return msg;
|
3825 | };
|
3826 |
|
3827 | EC.prototype.truncateMsg = function truncateMSG(msg) {
|
3828 |
|
3829 | var bitSize;
|
3830 | if (msg instanceof Uint8Array) {
|
3831 | bitSize = msg.byteLength * 8;
|
3832 | msg = this._truncateToN(new bn(msg, 16), false, bitSize);
|
3833 | } else if (typeof msg === 'string') {
|
3834 | bitSize = msg.length * 4;
|
3835 | msg = this._truncateToN(new bn(msg, 16), false, bitSize);
|
3836 | } else {
|
3837 | msg = this._truncateToN(new bn(msg, 16));
|
3838 | }
|
3839 | return msg;
|
3840 | };
|
3841 |
|
3842 | EC.prototype.sign = function sign(msg, key, enc, options) {
|
3843 | if (typeof enc === 'object') {
|
3844 | options = enc;
|
3845 | enc = null;
|
3846 | }
|
3847 | if (!options)
|
3848 | options = {};
|
3849 |
|
3850 | key = this.keyFromPrivate(key, enc);
|
3851 | msg = this.truncateMsg(msg);
|
3852 |
|
3853 |
|
3854 | var bytes = this.n.byteLength();
|
3855 | var bkey = key.getPrivate().toArray('be', bytes);
|
3856 |
|
3857 |
|
3858 | var nonce = msg.toArray('be', bytes);
|
3859 |
|
3860 |
|
3861 | var drbg = new hmacDrbg({
|
3862 | hash: this.hash,
|
3863 | entropy: bkey,
|
3864 | nonce: nonce,
|
3865 | pers: options.pers,
|
3866 | persEnc: options.persEnc || 'utf8'
|
3867 | });
|
3868 |
|
3869 |
|
3870 | var ns1 = this.n.sub(new bn(1));
|
3871 |
|
3872 | for (var iter = 0; true; iter++) {
|
3873 | var k = options.k ?
|
3874 | options.k(iter) :
|
3875 | new bn(drbg.generate(this.n.byteLength()));
|
3876 | k = this._truncateToN(k, true);
|
3877 | if (k.cmpn(1) <= 0 || k.cmp(ns1) >= 0)
|
3878 | continue;
|
3879 |
|
3880 | var kp = this.g.mul(k);
|
3881 | if (kp.isInfinity())
|
3882 | continue;
|
3883 |
|
3884 | var kpX = kp.getX();
|
3885 | var r = kpX.umod(this.n);
|
3886 | if (r.cmpn(0) === 0)
|
3887 | continue;
|
3888 |
|
3889 | var s = k.invm(this.n).mul(r.mul(key.getPrivate()).iadd(msg));
|
3890 | s = s.umod(this.n);
|
3891 | if (s.cmpn(0) === 0)
|
3892 | continue;
|
3893 |
|
3894 | var recoveryParam = (kp.getY().isOdd() ? 1 : 0) |
|
3895 | (kpX.cmp(r) !== 0 ? 2 : 0);
|
3896 |
|
3897 |
|
3898 | if (options.canonical && s.cmp(this.nh) > 0) {
|
3899 | s = this.n.sub(s);
|
3900 | recoveryParam ^= 1;
|
3901 | }
|
3902 |
|
3903 | return new signature({ r: r, s: s, recoveryParam: recoveryParam });
|
3904 | }
|
3905 | };
|
3906 |
|
3907 | EC.prototype.verify = function verify(msg, signature$1, key, enc) {
|
3908 | key = this.keyFromPublic(key, enc);
|
3909 | signature$1 = new signature(signature$1, 'hex');
|
3910 |
|
3911 | var ret = this._verify(this.truncateMsg(msg), signature$1, key) ||
|
3912 | this._verify(this._truncateToN(new bn(msg, 16)), signature$1, key);
|
3913 | return ret;
|
3914 | };
|
3915 |
|
3916 | EC.prototype._verify = function _verify(msg, signature, key) {
|
3917 |
|
3918 | var r = signature.r;
|
3919 | var s = signature.s;
|
3920 | if (r.cmpn(1) < 0 || r.cmp(this.n) >= 0)
|
3921 | return false;
|
3922 | if (s.cmpn(1) < 0 || s.cmp(this.n) >= 0)
|
3923 | return false;
|
3924 |
|
3925 |
|
3926 | var sinv = s.invm(this.n);
|
3927 | var u1 = sinv.mul(msg).umod(this.n);
|
3928 | var u2 = sinv.mul(r).umod(this.n);
|
3929 |
|
3930 | if (!this.curve._maxwellTrick) {
|
3931 | var p = this.g.mulAdd(u1, key.getPublic(), u2);
|
3932 | if (p.isInfinity())
|
3933 | return false;
|
3934 |
|
3935 | return p.getX().umod(this.n).cmp(r) === 0;
|
3936 | }
|
3937 |
|
3938 |
|
3939 |
|
3940 |
|
3941 | var p = this.g.jmulAdd(u1, key.getPublic(), u2);
|
3942 | if (p.isInfinity())
|
3943 | return false;
|
3944 |
|
3945 |
|
3946 |
|
3947 |
|
3948 | return p.eqXToP(r);
|
3949 | };
|
3950 |
|
3951 | EC.prototype.recoverPubKey = function(msg, signature$1, j, enc) {
|
3952 | assert$5((3 & j) === j, 'The recovery param is more than two bits');
|
3953 | signature$1 = new signature(signature$1, enc);
|
3954 |
|
3955 | var n = this.n;
|
3956 | var e = new bn(msg);
|
3957 | var r = signature$1.r;
|
3958 | var s = signature$1.s;
|
3959 |
|
3960 |
|
3961 | var isYOdd = j & 1;
|
3962 | var isSecondKey = j >> 1;
|
3963 | if (r.cmp(this.curve.p.umod(this.curve.n)) >= 0 && isSecondKey)
|
3964 | throw new Error('Unable to find sencond key candinate');
|
3965 |
|
3966 |
|
3967 | if (isSecondKey)
|
3968 | r = this.curve.pointFromX(r.add(this.curve.n), isYOdd);
|
3969 | else
|
3970 | r = this.curve.pointFromX(r, isYOdd);
|
3971 |
|
3972 | var rInv = signature$1.r.invm(n);
|
3973 | var s1 = n.sub(e).mul(rInv).umod(n);
|
3974 | var s2 = s.mul(rInv).umod(n);
|
3975 |
|
3976 |
|
3977 |
|
3978 | return this.g.mulAdd(s1, r, s2);
|
3979 | };
|
3980 |
|
3981 | EC.prototype.getKeyRecoveryParam = function(e, signature$1, Q, enc) {
|
3982 | signature$1 = new signature(signature$1, enc);
|
3983 | if (signature$1.recoveryParam !== null)
|
3984 | return signature$1.recoveryParam;
|
3985 |
|
3986 | for (var i = 0; i < 4; i++) {
|
3987 | var Qprime;
|
3988 | try {
|
3989 | Qprime = this.recoverPubKey(e, signature$1, i);
|
3990 | } catch (e) {
|
3991 | continue;
|
3992 | }
|
3993 |
|
3994 | if (Qprime.eq(Q))
|
3995 | return i;
|
3996 | }
|
3997 | throw new Error('Unable to find valid recovery factor');
|
3998 | };
|
3999 |
|
4000 | var assert$6 = utils_1$1.assert;
|
4001 | var parseBytes = utils_1$1.parseBytes;
|
4002 | var cachedProperty = utils_1$1.cachedProperty;
|
4003 |
|
4004 |
|
4005 |
|
4006 |
|
4007 |
|
4008 |
|
4009 |
|
4010 |
|
4011 |
|
4012 |
|
4013 | function KeyPair$1(eddsa, params) {
|
4014 | this.eddsa = eddsa;
|
4015 | if (params.hasOwnProperty('secret'))
|
4016 | this._secret = parseBytes(params.secret);
|
4017 | if (eddsa.isPoint(params.pub))
|
4018 | this._pub = params.pub;
|
4019 | else {
|
4020 | this._pubBytes = parseBytes(params.pub);
|
4021 | if (this._pubBytes && this._pubBytes.length === 33 &&
|
4022 | this._pubBytes[0] === 0x40)
|
4023 | this._pubBytes = this._pubBytes.slice(1, 33);
|
4024 | if (this._pubBytes && this._pubBytes.length !== 32)
|
4025 | throw new Error('Unknown point compression format');
|
4026 | }
|
4027 | }
|
4028 |
|
4029 | KeyPair$1.fromPublic = function fromPublic(eddsa, pub) {
|
4030 | if (pub instanceof KeyPair$1)
|
4031 | return pub;
|
4032 | return new KeyPair$1(eddsa, { pub: pub });
|
4033 | };
|
4034 |
|
4035 | KeyPair$1.fromSecret = function fromSecret(eddsa, secret) {
|
4036 | if (secret instanceof KeyPair$1)
|
4037 | return secret;
|
4038 | return new KeyPair$1(eddsa, { secret: secret });
|
4039 | };
|
4040 |
|
4041 | KeyPair$1.prototype.secret = function secret() {
|
4042 | return this._secret;
|
4043 | };
|
4044 |
|
4045 | cachedProperty(KeyPair$1, 'pubBytes', function pubBytes() {
|
4046 | return this.eddsa.encodePoint(this.pub());
|
4047 | });
|
4048 |
|
4049 | cachedProperty(KeyPair$1, 'pub', function pub() {
|
4050 | if (this._pubBytes)
|
4051 | return this.eddsa.decodePoint(this._pubBytes);
|
4052 | return this.eddsa.g.mul(this.priv());
|
4053 | });
|
4054 |
|
4055 | cachedProperty(KeyPair$1, 'privBytes', function privBytes() {
|
4056 | var eddsa = this.eddsa;
|
4057 | var hash = this.hash();
|
4058 | var lastIx = eddsa.encodingLength - 1;
|
4059 |
|
4060 |
|
4061 | var a = hash.slice(0, eddsa.encodingLength);
|
4062 | a[0] &= 248;
|
4063 | a[lastIx] &= 127;
|
4064 | a[lastIx] |= 64;
|
4065 |
|
4066 | return a;
|
4067 | });
|
4068 |
|
4069 | cachedProperty(KeyPair$1, 'priv', function priv() {
|
4070 | return this.eddsa.decodeInt(this.privBytes());
|
4071 | });
|
4072 |
|
4073 | cachedProperty(KeyPair$1, 'hash', function hash() {
|
4074 | return this.eddsa.hash().update(this.secret()).digest();
|
4075 | });
|
4076 |
|
4077 | cachedProperty(KeyPair$1, 'messagePrefix', function messagePrefix() {
|
4078 | return this.hash().slice(this.eddsa.encodingLength);
|
4079 | });
|
4080 |
|
4081 | KeyPair$1.prototype.sign = function sign(message) {
|
4082 | assert$6(this._secret, 'KeyPair can only verify');
|
4083 | return this.eddsa.sign(message, this);
|
4084 | };
|
4085 |
|
4086 | KeyPair$1.prototype.verify = function verify(message, sig) {
|
4087 | return this.eddsa.verify(message, sig, this);
|
4088 | };
|
4089 |
|
4090 | KeyPair$1.prototype.getSecret = function getSecret(enc) {
|
4091 | assert$6(this._secret, 'KeyPair is public only');
|
4092 | return utils_1$1.encode(this.secret(), enc);
|
4093 | };
|
4094 |
|
4095 | KeyPair$1.prototype.getPublic = function getPublic(enc, compact) {
|
4096 | return utils_1$1.encode((compact ? [ 0x40 ] : []).concat(this.pubBytes()), enc);
|
4097 | };
|
4098 |
|
4099 | var key$1 = KeyPair$1;
|
4100 |
|
4101 | var assert$7 = utils_1$1.assert;
|
4102 | var cachedProperty$1 = utils_1$1.cachedProperty;
|
4103 | var parseBytes$1 = utils_1$1.parseBytes;
|
4104 |
|
4105 |
|
4106 |
|
4107 |
|
4108 |
|
4109 |
|
4110 |
|
4111 |
|
4112 |
|
4113 | function Signature$1(eddsa, sig) {
|
4114 | this.eddsa = eddsa;
|
4115 |
|
4116 | if (typeof sig !== 'object')
|
4117 | sig = parseBytes$1(sig);
|
4118 |
|
4119 | if (Array.isArray(sig)) {
|
4120 | sig = {
|
4121 | R: sig.slice(0, eddsa.encodingLength),
|
4122 | S: sig.slice(eddsa.encodingLength)
|
4123 | };
|
4124 | }
|
4125 |
|
4126 | assert$7(sig.R && sig.S, 'Signature without R or S');
|
4127 |
|
4128 | if (eddsa.isPoint(sig.R))
|
4129 | this._R = sig.R;
|
4130 | if (sig.S instanceof bn)
|
4131 | this._S = sig.S;
|
4132 |
|
4133 | this._Rencoded = Array.isArray(sig.R) ? sig.R : sig.Rencoded;
|
4134 | this._Sencoded = Array.isArray(sig.S) ? sig.S : sig.Sencoded;
|
4135 | }
|
4136 |
|
4137 | cachedProperty$1(Signature$1, 'S', function S() {
|
4138 | return this.eddsa.decodeInt(this.Sencoded());
|
4139 | });
|
4140 |
|
4141 | cachedProperty$1(Signature$1, 'R', function R() {
|
4142 | return this.eddsa.decodePoint(this.Rencoded());
|
4143 | });
|
4144 |
|
4145 | cachedProperty$1(Signature$1, 'Rencoded', function Rencoded() {
|
4146 | return this.eddsa.encodePoint(this.R());
|
4147 | });
|
4148 |
|
4149 | cachedProperty$1(Signature$1, 'Sencoded', function Sencoded() {
|
4150 | return this.eddsa.encodeInt(this.S());
|
4151 | });
|
4152 |
|
4153 | Signature$1.prototype.toBytes = function toBytes() {
|
4154 | return this.Rencoded().concat(this.Sencoded());
|
4155 | };
|
4156 |
|
4157 | Signature$1.prototype.toHex = function toHex() {
|
4158 | return utils_1$1.encode(this.toBytes(), 'hex').toUpperCase();
|
4159 | };
|
4160 |
|
4161 | var signature$1 = Signature$1;
|
4162 |
|
4163 | var assert$8 = utils_1$1.assert;
|
4164 | var parseBytes$2 = utils_1$1.parseBytes;
|
4165 |
|
4166 |
|
4167 |
|
4168 | function EDDSA(curve) {
|
4169 | assert$8(curve === 'ed25519', 'only tested with ed25519 so far');
|
4170 |
|
4171 | if (!(this instanceof EDDSA))
|
4172 | return new EDDSA(curve);
|
4173 |
|
4174 | var curve = curves_1[curve].curve;
|
4175 | this.curve = curve;
|
4176 | this.g = curve.g;
|
4177 | this.g.precompute(curve.n.bitLength() + 1);
|
4178 |
|
4179 | this.pointClass = curve.point().constructor;
|
4180 | this.encodingLength = Math.ceil(curve.n.bitLength() / 8);
|
4181 | this.hash = hash_1.sha512;
|
4182 | }
|
4183 |
|
4184 | var eddsa = EDDSA;
|
4185 |
|
4186 |
|
4187 |
|
4188 |
|
4189 |
|
4190 |
|
4191 | EDDSA.prototype.sign = function sign(message, secret) {
|
4192 | message = parseBytes$2(message);
|
4193 | var key = this.keyFromSecret(secret);
|
4194 | var r = this.hashInt(key.messagePrefix(), message);
|
4195 | var R = this.g.mul(r);
|
4196 | var Rencoded = this.encodePoint(R);
|
4197 | var s_ = this.hashInt(Rencoded, key.pubBytes(), message)
|
4198 | .mul(key.priv());
|
4199 | var S = r.add(s_).umod(this.curve.n);
|
4200 | return this.makeSignature({ R: R, S: S, Rencoded: Rencoded });
|
4201 | };
|
4202 |
|
4203 |
|
4204 |
|
4205 |
|
4206 |
|
4207 |
|
4208 |
|
4209 | EDDSA.prototype.verify = function verify(message, sig, pub) {
|
4210 | message = parseBytes$2(message);
|
4211 | sig = this.makeSignature(sig);
|
4212 | var key = this.keyFromPublic(pub);
|
4213 | var h = this.hashInt(sig.Rencoded(), key.pubBytes(), message);
|
4214 | var SG = this.g.mul(sig.S());
|
4215 | var RplusAh = sig.R().add(key.pub().mul(h));
|
4216 | return RplusAh.eq(SG);
|
4217 | };
|
4218 |
|
4219 | EDDSA.prototype.hashInt = function hashInt() {
|
4220 | var hash = this.hash();
|
4221 | for (var i = 0; i < arguments.length; i++)
|
4222 | hash.update(arguments[i]);
|
4223 | return utils_1$1.intFromLE(hash.digest()).umod(this.curve.n);
|
4224 | };
|
4225 |
|
4226 | EDDSA.prototype.keyPair = function keyPair(options) {
|
4227 | return new key$1(this, options);
|
4228 | };
|
4229 |
|
4230 | EDDSA.prototype.keyFromPublic = function keyFromPublic(pub) {
|
4231 | return key$1.fromPublic(this, pub);
|
4232 | };
|
4233 |
|
4234 | EDDSA.prototype.keyFromSecret = function keyFromSecret(secret) {
|
4235 | return key$1.fromSecret(this, secret);
|
4236 | };
|
4237 |
|
4238 | EDDSA.prototype.genKeyPair = function genKeyPair(options) {
|
4239 | if (!options)
|
4240 | options = {};
|
4241 |
|
4242 |
|
4243 | var drbg = new hmacDrbg({
|
4244 | hash: this.hash,
|
4245 | pers: options.pers,
|
4246 | persEnc: options.persEnc || 'utf8',
|
4247 | entropy: options.entropy || brorand(this.hash.hmacStrength),
|
4248 | entropyEnc: options.entropy && options.entropyEnc || 'utf8',
|
4249 | nonce: this.curve.n.toArray()
|
4250 | });
|
4251 |
|
4252 | return this.keyFromSecret(drbg.generate(32));
|
4253 | };
|
4254 |
|
4255 | EDDSA.prototype.makeSignature = function makeSignature(sig) {
|
4256 | if (sig instanceof signature$1)
|
4257 | return sig;
|
4258 | return new signature$1(this, sig);
|
4259 | };
|
4260 |
|
4261 |
|
4262 |
|
4263 |
|
4264 |
|
4265 |
|
4266 |
|
4267 |
|
4268 |
|
4269 | EDDSA.prototype.encodePoint = function encodePoint(point) {
|
4270 | var enc = point.getY().toArray('le', this.encodingLength);
|
4271 | enc[this.encodingLength - 1] |= point.getX().isOdd() ? 0x80 : 0;
|
4272 | return enc;
|
4273 | };
|
4274 |
|
4275 | EDDSA.prototype.decodePoint = function decodePoint(bytes) {
|
4276 | bytes = utils_1$1.parseBytes(bytes);
|
4277 |
|
4278 | var lastIx = bytes.length - 1;
|
4279 | var normed = bytes.slice(0, lastIx).concat(bytes[lastIx] & ~0x80);
|
4280 | var xIsOdd = (bytes[lastIx] & 0x80) !== 0;
|
4281 |
|
4282 | var y = utils_1$1.intFromLE(normed);
|
4283 | return this.curve.pointFromY(y, xIsOdd);
|
4284 | };
|
4285 |
|
4286 | EDDSA.prototype.encodeInt = function encodeInt(num) {
|
4287 | return num.toArray('le', this.encodingLength);
|
4288 | };
|
4289 |
|
4290 | EDDSA.prototype.decodeInt = function decodeInt(bytes) {
|
4291 | return utils_1$1.intFromLE(bytes);
|
4292 | };
|
4293 |
|
4294 | EDDSA.prototype.isPoint = function isPoint(val) {
|
4295 | return val instanceof this.pointClass;
|
4296 | };
|
4297 |
|
4298 | var elliptic_1 = createCommonjsModule(function (module, exports) {
|
4299 |
|
4300 | var elliptic = exports;
|
4301 |
|
4302 | elliptic.utils = utils_1$1;
|
4303 | elliptic.rand = brorand;
|
4304 | elliptic.curve = curve_1;
|
4305 | elliptic.curves = curves_1;
|
4306 |
|
4307 |
|
4308 | elliptic.ec = ec;
|
4309 | elliptic.eddsa = eddsa;
|
4310 | });
|
4311 |
|
4312 | export default elliptic_1;
|
4313 | export { elliptic_1 as __moduleExports };
|