import BN from 'bn.js'; import hash from 'hash.js'; var commonjsGlobal = typeof globalThis !== 'undefined' ? globalThis : typeof window !== 'undefined' ? window : typeof global !== 'undefined' ? global : typeof self !== 'undefined' ? self : {}; function getDefaultExportFromCjs (x) { return x && x.__esModule && Object.prototype.hasOwnProperty.call(x, 'default') ? x['default'] : x; } function createCommonjsModule(fn, basedir, module) { return module = { path: basedir, exports: {}, require: function (path, base) { return commonjsRequire(path, (base === undefined || base === null) ? module.path : base); } }, fn(module, module.exports), module.exports; } function getDefaultExportFromNamespaceIfPresent (n) { return n && Object.prototype.hasOwnProperty.call(n, 'default') ? n['default'] : n; } function getDefaultExportFromNamespaceIfNotNamed (n) { return n && Object.prototype.hasOwnProperty.call(n, 'default') && Object.keys(n).length === 1 ? n['default'] : n; } function getAugmentedNamespace(n) { if (n.__esModule) return n; var a = Object.defineProperty({}, '__esModule', {value: true}); Object.keys(n).forEach(function (k) { var d = Object.getOwnPropertyDescriptor(n, k); Object.defineProperty(a, k, d.get ? d : { enumerable: true, get: function () { return n[k]; } }); }); return a; } function commonjsRequire () { throw new Error('Dynamic requires are not currently supported by @rollup/plugin-commonjs'); } var minimalisticAssert = assert; function assert(val, msg) { if (!val) throw new Error(msg || 'Assertion failed'); } assert.equal = function assertEqual(l, r, msg) { if (l != r) throw new Error(msg || ('Assertion failed: ' + l + ' != ' + r)); }; var utils_1 = createCommonjsModule(function (module, exports) { 'use strict'; var utils = exports; function toArray(msg, enc) { if (Array.isArray(msg)) return msg.slice(); if (!msg) return []; var res = []; if (typeof msg !== 'string') { for (var i = 0; i < msg.length; i++) res[i] = msg[i] | 0; return res; } if (enc === 'hex') { msg = msg.replace(/[^a-z0-9]+/ig, ''); if (msg.length % 2 !== 0) msg = '0' + msg; for (var i = 0; i < msg.length; i += 2) res.push(parseInt(msg[i] + msg[i + 1], 16)); } else { for (var i = 0; i < msg.length; i++) { var c = msg.charCodeAt(i); var hi = c >> 8; var lo = c & 0xff; if (hi) res.push(hi, lo); else res.push(lo); } } return res; } utils.toArray = toArray; function zero2(word) { if (word.length === 1) return '0' + word; else return word; } utils.zero2 = zero2; function toHex(msg) { var res = ''; for (var i = 0; i < msg.length; i++) res += zero2(msg[i].toString(16)); return res; } utils.toHex = toHex; utils.encode = function encode(arr, enc) { if (enc === 'hex') return toHex(arr); else return arr; }; }); var utils_1$1 = createCommonjsModule(function (module, exports) { 'use strict'; var utils = exports; utils.assert = minimalisticAssert; utils.toArray = utils_1.toArray; utils.zero2 = utils_1.zero2; utils.toHex = utils_1.toHex; utils.encode = utils_1.encode; // Represent num in a w-NAF form function getNAF(num, w, bits) { var naf = new Array(Math.max(num.bitLength(), bits) + 1); naf.fill(0); var ws = 1 << (w + 1); var k = num.clone(); for (var i = 0; i < naf.length; i++) { var z; var mod = k.andln(ws - 1); if (k.isOdd()) { if (mod > (ws >> 1) - 1) z = (ws >> 1) - mod; else z = mod; k.isubn(z); } else { z = 0; } naf[i] = z; k.iushrn(1); } return naf; } utils.getNAF = getNAF; // Represent k1, k2 in a Joint Sparse Form function getJSF(k1, k2) { var jsf = [ [], [], ]; k1 = k1.clone(); k2 = k2.clone(); var d1 = 0; var d2 = 0; var m8; while (k1.cmpn(-d1) > 0 || k2.cmpn(-d2) > 0) { // First phase var m14 = (k1.andln(3) + d1) & 3; var m24 = (k2.andln(3) + d2) & 3; if (m14 === 3) m14 = -1; if (m24 === 3) m24 = -1; var u1; if ((m14 & 1) === 0) { u1 = 0; } else { m8 = (k1.andln(7) + d1) & 7; if ((m8 === 3 || m8 === 5) && m24 === 2) u1 = -m14; else u1 = m14; } jsf[0].push(u1); var u2; if ((m24 & 1) === 0) { u2 = 0; } else { m8 = (k2.andln(7) + d2) & 7; if ((m8 === 3 || m8 === 5) && m14 === 2) u2 = -m24; else u2 = m24; } jsf[1].push(u2); // Second phase if (2 * d1 === u1 + 1) d1 = 1 - d1; if (2 * d2 === u2 + 1) d2 = 1 - d2; k1.iushrn(1); k2.iushrn(1); } return jsf; } utils.getJSF = getJSF; function cachedProperty(obj, name, computer) { var key = '_' + name; obj.prototype[name] = function cachedProperty() { return this[key] !== undefined ? this[key] : this[key] = computer.call(this); }; } utils.cachedProperty = cachedProperty; function parseBytes(bytes) { return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') : bytes; } utils.parseBytes = parseBytes; function intFromLE(bytes) { return new BN(bytes, 'hex', 'le'); } utils.intFromLE = intFromLE; }); 'use strict'; var getNAF = utils_1$1.getNAF; var getJSF = utils_1$1.getJSF; var assert$1 = utils_1$1.assert; function BaseCurve(type, conf) { this.type = type; this.p = new BN(conf.p, 16); // Use Montgomery, when there is no fast reduction for the prime this.red = conf.prime ? BN.red(conf.prime) : BN.mont(this.p); // Useful for many curves this.zero = new BN(0).toRed(this.red); this.one = new BN(1).toRed(this.red); this.two = new BN(2).toRed(this.red); // Curve configuration, optional this.n = conf.n && new BN(conf.n, 16); this.g = conf.g && this.pointFromJSON(conf.g, conf.gRed); // Temporary arrays this._wnafT1 = new Array(4); this._wnafT2 = new Array(4); this._wnafT3 = new Array(4); this._wnafT4 = new Array(4); this._bitLength = this.n ? this.n.bitLength() : 0; // Generalized Greg Maxwell's trick var adjustCount = this.n && this.p.div(this.n); if (!adjustCount || adjustCount.cmpn(100) > 0) { this.redN = null; } else { this._maxwellTrick = true; this.redN = this.n.toRed(this.red); } } var base = BaseCurve; BaseCurve.prototype.point = function point() { throw new Error('Not implemented'); }; BaseCurve.prototype.validate = function validate() { throw new Error('Not implemented'); }; BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { assert$1(p.precomputed); var doubles = p._getDoubles(); var naf = getNAF(k, 1, this._bitLength); var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1); I /= 3; // Translate into more windowed form var repr = []; var j; var nafW; for (j = 0; j < naf.length; j += doubles.step) { nafW = 0; for (var l = j + doubles.step - 1; l >= j; l--) nafW = (nafW << 1) + naf[l]; repr.push(nafW); } var a = this.jpoint(null, null, null); var b = this.jpoint(null, null, null); for (var i = I; i > 0; i--) { for (j = 0; j < repr.length; j++) { nafW = repr[j]; if (nafW === i) b = b.mixedAdd(doubles.points[j]); else if (nafW === -i) b = b.mixedAdd(doubles.points[j].neg()); } a = a.add(b); } return a.toP(); }; BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { var w = 4; // Precompute window var nafPoints = p._getNAFPoints(w); w = nafPoints.wnd; var wnd = nafPoints.points; // Get NAF form var naf = getNAF(k, w, this._bitLength); // Add `this`*(N+1) for every w-NAF index var acc = this.jpoint(null, null, null); for (var i = naf.length - 1; i >= 0; i--) { // Count zeroes for (var l = 0; i >= 0 && naf[i] === 0; i--) l++; if (i >= 0) l++; acc = acc.dblp(l); if (i < 0) break; var z = naf[i]; assert$1(z !== 0); if (p.type === 'affine') { // J +- P if (z > 0) acc = acc.mixedAdd(wnd[(z - 1) >> 1]); else acc = acc.mixedAdd(wnd[(-z - 1) >> 1].neg()); } else { // J +- J if (z > 0) acc = acc.add(wnd[(z - 1) >> 1]); else acc = acc.add(wnd[(-z - 1) >> 1].neg()); } } return p.type === 'affine' ? acc.toP() : acc; }; BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, points, coeffs, len, jacobianResult) { var wndWidth = this._wnafT1; var wnd = this._wnafT2; var naf = this._wnafT3; // Fill all arrays var max = 0; var i; var j; var p; for (i = 0; i < len; i++) { p = points[i]; var nafPoints = p._getNAFPoints(defW); wndWidth[i] = nafPoints.wnd; wnd[i] = nafPoints.points; } // Comb small window NAFs for (i = len - 1; i >= 1; i -= 2) { var a = i - 1; var b = i; if (wndWidth[a] !== 1 || wndWidth[b] !== 1) { naf[a] = getNAF(coeffs[a], wndWidth[a], this._bitLength); naf[b] = getNAF(coeffs[b], wndWidth[b], this._bitLength); max = Math.max(naf[a].length, max); max = Math.max(naf[b].length, max); continue; } var comb = [ points[a], /* 1 */ null, /* 3 */ null, /* 5 */ points[b], /* 7 */ ]; // Try to avoid Projective points, if possible if (points[a].y.cmp(points[b].y) === 0) { comb[1] = points[a].add(points[b]); comb[2] = points[a].toJ().mixedAdd(points[b].neg()); } else if (points[a].y.cmp(points[b].y.redNeg()) === 0) { comb[1] = points[a].toJ().mixedAdd(points[b]); comb[2] = points[a].add(points[b].neg()); } else { comb[1] = points[a].toJ().mixedAdd(points[b]); comb[2] = points[a].toJ().mixedAdd(points[b].neg()); } var index = [ -3, /* -1 -1 */ -1, /* -1 0 */ -5, /* -1 1 */ -7, /* 0 -1 */ 0, /* 0 0 */ 7, /* 0 1 */ 5, /* 1 -1 */ 1, /* 1 0 */ 3, /* 1 1 */ ]; var jsf = getJSF(coeffs[a], coeffs[b]); max = Math.max(jsf[0].length, max); naf[a] = new Array(max); naf[b] = new Array(max); for (j = 0; j < max; j++) { var ja = jsf[0][j] | 0; var jb = jsf[1][j] | 0; naf[a][j] = index[(ja + 1) * 3 + (jb + 1)]; naf[b][j] = 0; wnd[a] = comb; } } var acc = this.jpoint(null, null, null); var tmp = this._wnafT4; for (i = max; i >= 0; i--) { var k = 0; while (i >= 0) { var zero = true; for (j = 0; j < len; j++) { tmp[j] = naf[j][i] | 0; if (tmp[j] !== 0) zero = false; } if (!zero) break; k++; i--; } if (i >= 0) k++; acc = acc.dblp(k); if (i < 0) break; for (j = 0; j < len; j++) { var z = tmp[j]; p; if (z === 0) continue; else if (z > 0) p = wnd[j][(z - 1) >> 1]; else if (z < 0) p = wnd[j][(-z - 1) >> 1].neg(); if (p.type === 'affine') acc = acc.mixedAdd(p); else acc = acc.add(p); } } // Zeroify references for (i = 0; i < len; i++) wnd[i] = null; if (jacobianResult) return acc; else return acc.toP(); }; function BasePoint(curve, type) { this.curve = curve; this.type = type; this.precomputed = null; } BaseCurve.BasePoint = BasePoint; BasePoint.prototype.eq = function eq(/*other*/) { throw new Error('Not implemented'); }; BasePoint.prototype.validate = function validate() { return this.curve.validate(this); }; BaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) { bytes = utils_1$1.toArray(bytes, enc); var len = this.p.byteLength(); // uncompressed, hybrid-odd, hybrid-even if ((bytes[0] === 0x04 || bytes[0] === 0x06 || bytes[0] === 0x07) && bytes.length - 1 === 2 * len) { if (bytes[0] === 0x06) assert$1(bytes[bytes.length - 1] % 2 === 0); else if (bytes[0] === 0x07) assert$1(bytes[bytes.length - 1] % 2 === 1); var res = this.point(bytes.slice(1, 1 + len), bytes.slice(1 + len, 1 + 2 * len)); return res; } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) && bytes.length - 1 === len) { return this.pointFromX(bytes.slice(1, 1 + len), bytes[0] === 0x03); } throw new Error('Unknown point format'); }; BasePoint.prototype.encodeCompressed = function encodeCompressed(enc) { return this.encode(enc, true); }; BasePoint.prototype._encode = function _encode(compact) { var len = this.curve.p.byteLength(); var x = this.getX().toArray('be', len); if (compact) return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x); return [ 0x04 ].concat(x, this.getY().toArray('be', len)); }; BasePoint.prototype.encode = function encode(enc, compact) { return utils_1$1.encode(this._encode(compact), enc); }; BasePoint.prototype.precompute = function precompute(power) { if (this.precomputed) return this; var precomputed = { doubles: null, naf: null, beta: null, }; precomputed.naf = this._getNAFPoints(8); precomputed.doubles = this._getDoubles(4, power); precomputed.beta = this._getBeta(); this.precomputed = precomputed; return this; }; BasePoint.prototype._hasDoubles = function _hasDoubles(k) { if (!this.precomputed) return false; var doubles = this.precomputed.doubles; if (!doubles) return false; return doubles.points.length >= Math.ceil((k.bitLength() + 1) / doubles.step); }; BasePoint.prototype._getDoubles = function _getDoubles(step, power) { if (this.precomputed && this.precomputed.doubles) return this.precomputed.doubles; var doubles = [ this ]; var acc = this; for (var i = 0; i < power; i += step) { for (var j = 0; j < step; j++) acc = acc.dbl(); doubles.push(acc); } return { step: step, points: doubles, }; }; BasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) { if (this.precomputed && this.precomputed.naf) return this.precomputed.naf; var res = [ this ]; var max = (1 << wnd) - 1; var dbl = max === 1 ? null : this.dbl(); for (var i = 1; i < max; i++) res[i] = res[i - 1].add(dbl); return { wnd: wnd, points: res, }; }; BasePoint.prototype._getBeta = function _getBeta() { return null; }; BasePoint.prototype.dblp = function dblp(k) { var r = this; for (var i = 0; i < k; i++) r = r.dbl(); return r; }; var inherits_browser = createCommonjsModule(function (module) { if (typeof Object.create === 'function') { // implementation from standard node.js 'util' module module.exports = function inherits(ctor, superCtor) { if (superCtor) { ctor.super_ = superCtor; ctor.prototype = Object.create(superCtor.prototype, { constructor: { value: ctor, enumerable: false, writable: true, configurable: true } }); } }; } else { // old school shim for old browsers module.exports = function inherits(ctor, superCtor) { if (superCtor) { ctor.super_ = superCtor; var TempCtor = function () {}; TempCtor.prototype = superCtor.prototype; ctor.prototype = new TempCtor(); ctor.prototype.constructor = ctor; } }; } }); 'use strict'; var assert$2 = utils_1$1.assert; function ShortCurve(conf) { base.call(this, 'short', conf); this.a = new BN(conf.a, 16).toRed(this.red); this.b = new BN(conf.b, 16).toRed(this.red); this.tinv = this.two.redInvm(); this.zeroA = this.a.fromRed().cmpn(0) === 0; this.threeA = this.a.fromRed().sub(this.p).cmpn(-3) === 0; // If the curve is endomorphic, precalculate beta and lambda this.endo = this._getEndomorphism(conf); this._endoWnafT1 = new Array(4); this._endoWnafT2 = new Array(4); } inherits_browser(ShortCurve, base); var short_1 = ShortCurve; ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) { // No efficient endomorphism if (!this.zeroA || !this.g || !this.n || this.p.modn(3) !== 1) return; // Compute beta and lambda, that lambda * P = (beta * Px; Py) var beta; var lambda; if (conf.beta) { beta = new BN(conf.beta, 16).toRed(this.red); } else { var betas = this._getEndoRoots(this.p); // Choose the smallest beta beta = betas[0].cmp(betas[1]) < 0 ? betas[0] : betas[1]; beta = beta.toRed(this.red); } if (conf.lambda) { lambda = new BN(conf.lambda, 16); } else { // Choose the lambda that is matching selected beta var lambdas = this._getEndoRoots(this.n); if (this.g.mul(lambdas[0]).x.cmp(this.g.x.redMul(beta)) === 0) { lambda = lambdas[0]; } else { lambda = lambdas[1]; assert$2(this.g.mul(lambda).x.cmp(this.g.x.redMul(beta)) === 0); } } // Get basis vectors, used for balanced length-two representation var basis; if (conf.basis) { basis = conf.basis.map(function(vec) { return { a: new BN(vec.a, 16), b: new BN(vec.b, 16), }; }); } else { basis = this._getEndoBasis(lambda); } return { beta: beta, lambda: lambda, basis: basis, }; }; ShortCurve.prototype._getEndoRoots = function _getEndoRoots(num) { // Find roots of for x^2 + x + 1 in F // Root = (-1 +- Sqrt(-3)) / 2 // var red = num === this.p ? this.red : BN.mont(num); var tinv = new BN(2).toRed(red).redInvm(); var ntinv = tinv.redNeg(); var s = new BN(3).toRed(red).redNeg().redSqrt().redMul(tinv); var l1 = ntinv.redAdd(s).fromRed(); var l2 = ntinv.redSub(s).fromRed(); return [ l1, l2 ]; }; ShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) { // aprxSqrt >= sqrt(this.n) var aprxSqrt = this.n.ushrn(Math.floor(this.n.bitLength() / 2)); // 3.74 // Run EGCD, until r(L + 1) < aprxSqrt var u = lambda; var v = this.n.clone(); var x1 = new BN(1); var y1 = new BN(0); var x2 = new BN(0); var y2 = new BN(1); // NOTE: all vectors are roots of: a + b * lambda = 0 (mod n) var a0; var b0; // First vector var a1; var b1; // Second vector var a2; var b2; var prevR; var i = 0; var r; var x; while (u.cmpn(0) !== 0) { var q = v.div(u); r = v.sub(q.mul(u)); x = x2.sub(q.mul(x1)); var y = y2.sub(q.mul(y1)); if (!a1 && r.cmp(aprxSqrt) < 0) { a0 = prevR.neg(); b0 = x1; a1 = r.neg(); b1 = x; } else if (a1 && ++i === 2) { break; } prevR = r; v = u; u = r; x2 = x1; x1 = x; y2 = y1; y1 = y; } a2 = r.neg(); b2 = x; var len1 = a1.sqr().add(b1.sqr()); var len2 = a2.sqr().add(b2.sqr()); if (len2.cmp(len1) >= 0) { a2 = a0; b2 = b0; } // Normalize signs if (a1.negative) { a1 = a1.neg(); b1 = b1.neg(); } if (a2.negative) { a2 = a2.neg(); b2 = b2.neg(); } return [ { a: a1, b: b1 }, { a: a2, b: b2 }, ]; }; ShortCurve.prototype._endoSplit = function _endoSplit(k) { var basis = this.endo.basis; var v1 = basis[0]; var v2 = basis[1]; var c1 = v2.b.mul(k).divRound(this.n); var c2 = v1.b.neg().mul(k).divRound(this.n); var p1 = c1.mul(v1.a); var p2 = c2.mul(v2.a); var q1 = c1.mul(v1.b); var q2 = c2.mul(v2.b); // Calculate answer var k1 = k.sub(p1).sub(p2); var k2 = q1.add(q2).neg(); return { k1: k1, k2: k2 }; }; ShortCurve.prototype.pointFromX = function pointFromX(x, odd) { x = new BN(x, 16); if (!x.red) x = x.toRed(this.red); var y2 = x.redSqr().redMul(x).redIAdd(x.redMul(this.a)).redIAdd(this.b); var y = y2.redSqrt(); if (y.redSqr().redSub(y2).cmp(this.zero) !== 0) throw new Error('invalid point'); // XXX Is there any way to tell if the number is odd without converting it // to non-red form? var isOdd = y.fromRed().isOdd(); if (odd && !isOdd || !odd && isOdd) y = y.redNeg(); return this.point(x, y); }; ShortCurve.prototype.validate = function validate(point) { if (point.inf) return true; var x = point.x; var y = point.y; var ax = this.a.redMul(x); var rhs = x.redSqr().redMul(x).redIAdd(ax).redIAdd(this.b); return y.redSqr().redISub(rhs).cmpn(0) === 0; }; ShortCurve.prototype._endoWnafMulAdd = function _endoWnafMulAdd(points, coeffs, jacobianResult) { var npoints = this._endoWnafT1; var ncoeffs = this._endoWnafT2; for (var i = 0; i < points.length; i++) { var split = this._endoSplit(coeffs[i]); var p = points[i]; var beta = p._getBeta(); if (split.k1.negative) { split.k1.ineg(); p = p.neg(true); } if (split.k2.negative) { split.k2.ineg(); beta = beta.neg(true); } npoints[i * 2] = p; npoints[i * 2 + 1] = beta; ncoeffs[i * 2] = split.k1; ncoeffs[i * 2 + 1] = split.k2; } var res = this._wnafMulAdd(1, npoints, ncoeffs, i * 2, jacobianResult); // Clean-up references to points and coefficients for (var j = 0; j < i * 2; j++) { npoints[j] = null; ncoeffs[j] = null; } return res; }; function Point(curve, x, y, isRed) { base.BasePoint.call(this, curve, 'affine'); if (x === null && y === null) { this.x = null; this.y = null; this.inf = true; } else { this.x = new BN(x, 16); this.y = new BN(y, 16); // Force redgomery representation when loading from JSON if (isRed) { this.x.forceRed(this.curve.red); this.y.forceRed(this.curve.red); } if (!this.x.red) this.x = this.x.toRed(this.curve.red); if (!this.y.red) this.y = this.y.toRed(this.curve.red); this.inf = false; } } inherits_browser(Point, base.BasePoint); ShortCurve.prototype.point = function point(x, y, isRed) { return new Point(this, x, y, isRed); }; ShortCurve.prototype.pointFromJSON = function pointFromJSON(obj, red) { return Point.fromJSON(this, obj, red); }; Point.prototype._getBeta = function _getBeta() { if (!this.curve.endo) return; var pre = this.precomputed; if (pre && pre.beta) return pre.beta; var beta = this.curve.point(this.x.redMul(this.curve.endo.beta), this.y); if (pre) { var curve = this.curve; var endoMul = function(p) { return curve.point(p.x.redMul(curve.endo.beta), p.y); }; pre.beta = beta; beta.precomputed = { beta: null, naf: pre.naf && { wnd: pre.naf.wnd, points: pre.naf.points.map(endoMul), }, doubles: pre.doubles && { step: pre.doubles.step, points: pre.doubles.points.map(endoMul), }, }; } return beta; }; Point.prototype.toJSON = function toJSON() { if (!this.precomputed) return [ this.x, this.y ]; return [ this.x, this.y, this.precomputed && { doubles: this.precomputed.doubles && { step: this.precomputed.doubles.step, points: this.precomputed.doubles.points.slice(1), }, naf: this.precomputed.naf && { wnd: this.precomputed.naf.wnd, points: this.precomputed.naf.points.slice(1), }, } ]; }; Point.fromJSON = function fromJSON(curve, obj, red) { if (typeof obj === 'string') obj = JSON.parse(obj); var res = curve.point(obj[0], obj[1], red); if (!obj[2]) return res; function obj2point(obj) { return curve.point(obj[0], obj[1], red); } var pre = obj[2]; res.precomputed = { beta: null, doubles: pre.doubles && { step: pre.doubles.step, points: [ res ].concat(pre.doubles.points.map(obj2point)), }, naf: pre.naf && { wnd: pre.naf.wnd, points: [ res ].concat(pre.naf.points.map(obj2point)), }, }; return res; }; Point.prototype.inspect = function inspect() { if (this.isInfinity()) return ''; return ''; }; Point.prototype.isInfinity = function isInfinity() { return this.inf; }; Point.prototype.add = function add(p) { // O + P = P if (this.inf) return p; // P + O = P if (p.inf) return this; // P + P = 2P if (this.eq(p)) return this.dbl(); // P + (-P) = O if (this.neg().eq(p)) return this.curve.point(null, null); // P + Q = O if (this.x.cmp(p.x) === 0) return this.curve.point(null, null); var c = this.y.redSub(p.y); if (c.cmpn(0) !== 0) c = c.redMul(this.x.redSub(p.x).redInvm()); var nx = c.redSqr().redISub(this.x).redISub(p.x); var ny = c.redMul(this.x.redSub(nx)).redISub(this.y); return this.curve.point(nx, ny); }; Point.prototype.dbl = function dbl() { if (this.inf) return this; // 2P = O var ys1 = this.y.redAdd(this.y); if (ys1.cmpn(0) === 0) return this.curve.point(null, null); var a = this.curve.a; var x2 = this.x.redSqr(); var dyinv = ys1.redInvm(); var c = x2.redAdd(x2).redIAdd(x2).redIAdd(a).redMul(dyinv); var nx = c.redSqr().redISub(this.x.redAdd(this.x)); var ny = c.redMul(this.x.redSub(nx)).redISub(this.y); return this.curve.point(nx, ny); }; Point.prototype.getX = function getX() { return this.x.fromRed(); }; Point.prototype.getY = function getY() { return this.y.fromRed(); }; Point.prototype.mul = function mul(k) { k = new BN(k, 16); if (this.isInfinity()) return this; else if (this._hasDoubles(k)) return this.curve._fixedNafMul(this, k); else if (this.curve.endo) return this.curve._endoWnafMulAdd([ this ], [ k ]); else return this.curve._wnafMul(this, k); }; Point.prototype.mulAdd = function mulAdd(k1, p2, k2) { var points = [ this, p2 ]; var coeffs = [ k1, k2 ]; if (this.curve.endo) return this.curve._endoWnafMulAdd(points, coeffs); else return this.curve._wnafMulAdd(1, points, coeffs, 2); }; Point.prototype.jmulAdd = function jmulAdd(k1, p2, k2) { var points = [ this, p2 ]; var coeffs = [ k1, k2 ]; if (this.curve.endo) return this.curve._endoWnafMulAdd(points, coeffs, true); else return this.curve._wnafMulAdd(1, points, coeffs, 2, true); }; Point.prototype.eq = function eq(p) { return this === p || this.inf === p.inf && (this.inf || this.x.cmp(p.x) === 0 && this.y.cmp(p.y) === 0); }; Point.prototype.neg = function neg(_precompute) { if (this.inf) return this; var res = this.curve.point(this.x, this.y.redNeg()); if (_precompute && this.precomputed) { var pre = this.precomputed; var negate = function(p) { return p.neg(); }; res.precomputed = { naf: pre.naf && { wnd: pre.naf.wnd, points: pre.naf.points.map(negate), }, doubles: pre.doubles && { step: pre.doubles.step, points: pre.doubles.points.map(negate), }, }; } return res; }; Point.prototype.toJ = function toJ() { if (this.inf) return this.curve.jpoint(null, null, null); var res = this.curve.jpoint(this.x, this.y, this.curve.one); return res; }; function JPoint(curve, x, y, z) { base.BasePoint.call(this, curve, 'jacobian'); if (x === null && y === null && z === null) { this.x = this.curve.one; this.y = this.curve.one; this.z = new BN(0); } else { this.x = new BN(x, 16); this.y = new BN(y, 16); this.z = new BN(z, 16); } if (!this.x.red) this.x = this.x.toRed(this.curve.red); if (!this.y.red) this.y = this.y.toRed(this.curve.red); if (!this.z.red) this.z = this.z.toRed(this.curve.red); this.zOne = this.z === this.curve.one; } inherits_browser(JPoint, base.BasePoint); ShortCurve.prototype.jpoint = function jpoint(x, y, z) { return new JPoint(this, x, y, z); }; JPoint.prototype.toP = function toP() { if (this.isInfinity()) return this.curve.point(null, null); var zinv = this.z.redInvm(); var zinv2 = zinv.redSqr(); var ax = this.x.redMul(zinv2); var ay = this.y.redMul(zinv2).redMul(zinv); return this.curve.point(ax, ay); }; JPoint.prototype.neg = function neg() { return this.curve.jpoint(this.x, this.y.redNeg(), this.z); }; JPoint.prototype.add = function add(p) { // O + P = P if (this.isInfinity()) return p; // P + O = P if (p.isInfinity()) return this; // 12M + 4S + 7A var pz2 = p.z.redSqr(); var z2 = this.z.redSqr(); var u1 = this.x.redMul(pz2); var u2 = p.x.redMul(z2); var s1 = this.y.redMul(pz2.redMul(p.z)); var s2 = p.y.redMul(z2.redMul(this.z)); var h = u1.redSub(u2); var r = s1.redSub(s2); if (h.cmpn(0) === 0) { if (r.cmpn(0) !== 0) return this.curve.jpoint(null, null, null); else return this.dbl(); } var h2 = h.redSqr(); var h3 = h2.redMul(h); var v = u1.redMul(h2); var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v); var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3)); var nz = this.z.redMul(p.z).redMul(h); return this.curve.jpoint(nx, ny, nz); }; JPoint.prototype.mixedAdd = function mixedAdd(p) { // O + P = P if (this.isInfinity()) return p.toJ(); // P + O = P if (p.isInfinity()) return this; // 8M + 3S + 7A var z2 = this.z.redSqr(); var u1 = this.x; var u2 = p.x.redMul(z2); var s1 = this.y; var s2 = p.y.redMul(z2).redMul(this.z); var h = u1.redSub(u2); var r = s1.redSub(s2); if (h.cmpn(0) === 0) { if (r.cmpn(0) !== 0) return this.curve.jpoint(null, null, null); else return this.dbl(); } var h2 = h.redSqr(); var h3 = h2.redMul(h); var v = u1.redMul(h2); var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v); var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3)); var nz = this.z.redMul(h); return this.curve.jpoint(nx, ny, nz); }; JPoint.prototype.dblp = function dblp(pow) { if (pow === 0) return this; if (this.isInfinity()) return this; if (!pow) return this.dbl(); var i; if (this.curve.zeroA || this.curve.threeA) { var r = this; for (i = 0; i < pow; i++) r = r.dbl(); return r; } // 1M + 2S + 1A + N * (4S + 5M + 8A) // N = 1 => 6M + 6S + 9A var a = this.curve.a; var tinv = this.curve.tinv; var jx = this.x; var jy = this.y; var jz = this.z; var jz4 = jz.redSqr().redSqr(); // Reuse results var jyd = jy.redAdd(jy); for (i = 0; i < pow; i++) { var jx2 = jx.redSqr(); var jyd2 = jyd.redSqr(); var jyd4 = jyd2.redSqr(); var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4)); var t1 = jx.redMul(jyd2); var nx = c.redSqr().redISub(t1.redAdd(t1)); var t2 = t1.redISub(nx); var dny = c.redMul(t2); dny = dny.redIAdd(dny).redISub(jyd4); var nz = jyd.redMul(jz); if (i + 1 < pow) jz4 = jz4.redMul(jyd4); jx = nx; jz = nz; jyd = dny; } return this.curve.jpoint(jx, jyd.redMul(tinv), jz); }; JPoint.prototype.dbl = function dbl() { if (this.isInfinity()) return this; if (this.curve.zeroA) return this._zeroDbl(); else if (this.curve.threeA) return this._threeDbl(); else return this._dbl(); }; JPoint.prototype._zeroDbl = function _zeroDbl() { var nx; var ny; var nz; // Z = 1 if (this.zOne) { // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html // #doubling-mdbl-2007-bl // 1M + 5S + 14A // XX = X1^2 var xx = this.x.redSqr(); // YY = Y1^2 var yy = this.y.redSqr(); // YYYY = YY^2 var yyyy = yy.redSqr(); // S = 2 * ((X1 + YY)^2 - XX - YYYY) var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); s = s.redIAdd(s); // M = 3 * XX + a; a = 0 var m = xx.redAdd(xx).redIAdd(xx); // T = M ^ 2 - 2*S var t = m.redSqr().redISub(s).redISub(s); // 8 * YYYY var yyyy8 = yyyy.redIAdd(yyyy); yyyy8 = yyyy8.redIAdd(yyyy8); yyyy8 = yyyy8.redIAdd(yyyy8); // X3 = T nx = t; // Y3 = M * (S - T) - 8 * YYYY ny = m.redMul(s.redISub(t)).redISub(yyyy8); // Z3 = 2*Y1 nz = this.y.redAdd(this.y); } else { // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html // #doubling-dbl-2009-l // 2M + 5S + 13A // A = X1^2 var a = this.x.redSqr(); // B = Y1^2 var b = this.y.redSqr(); // C = B^2 var c = b.redSqr(); // D = 2 * ((X1 + B)^2 - A - C) var d = this.x.redAdd(b).redSqr().redISub(a).redISub(c); d = d.redIAdd(d); // E = 3 * A var e = a.redAdd(a).redIAdd(a); // F = E^2 var f = e.redSqr(); // 8 * C var c8 = c.redIAdd(c); c8 = c8.redIAdd(c8); c8 = c8.redIAdd(c8); // X3 = F - 2 * D nx = f.redISub(d).redISub(d); // Y3 = E * (D - X3) - 8 * C ny = e.redMul(d.redISub(nx)).redISub(c8); // Z3 = 2 * Y1 * Z1 nz = this.y.redMul(this.z); nz = nz.redIAdd(nz); } return this.curve.jpoint(nx, ny, nz); }; JPoint.prototype._threeDbl = function _threeDbl() { var nx; var ny; var nz; // Z = 1 if (this.zOne) { // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html // #doubling-mdbl-2007-bl // 1M + 5S + 15A // XX = X1^2 var xx = this.x.redSqr(); // YY = Y1^2 var yy = this.y.redSqr(); // YYYY = YY^2 var yyyy = yy.redSqr(); // S = 2 * ((X1 + YY)^2 - XX - YYYY) var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); s = s.redIAdd(s); // M = 3 * XX + a var m = xx.redAdd(xx).redIAdd(xx).redIAdd(this.curve.a); // T = M^2 - 2 * S var t = m.redSqr().redISub(s).redISub(s); // X3 = T nx = t; // Y3 = M * (S - T) - 8 * YYYY var yyyy8 = yyyy.redIAdd(yyyy); yyyy8 = yyyy8.redIAdd(yyyy8); yyyy8 = yyyy8.redIAdd(yyyy8); ny = m.redMul(s.redISub(t)).redISub(yyyy8); // Z3 = 2 * Y1 nz = this.y.redAdd(this.y); } else { // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b // 3M + 5S // delta = Z1^2 var delta = this.z.redSqr(); // gamma = Y1^2 var gamma = this.y.redSqr(); // beta = X1 * gamma var beta = this.x.redMul(gamma); // alpha = 3 * (X1 - delta) * (X1 + delta) var alpha = this.x.redSub(delta).redMul(this.x.redAdd(delta)); alpha = alpha.redAdd(alpha).redIAdd(alpha); // X3 = alpha^2 - 8 * beta var beta4 = beta.redIAdd(beta); beta4 = beta4.redIAdd(beta4); var beta8 = beta4.redAdd(beta4); nx = alpha.redSqr().redISub(beta8); // Z3 = (Y1 + Z1)^2 - gamma - delta nz = this.y.redAdd(this.z).redSqr().redISub(gamma).redISub(delta); // Y3 = alpha * (4 * beta - X3) - 8 * gamma^2 var ggamma8 = gamma.redSqr(); ggamma8 = ggamma8.redIAdd(ggamma8); ggamma8 = ggamma8.redIAdd(ggamma8); ggamma8 = ggamma8.redIAdd(ggamma8); ny = alpha.redMul(beta4.redISub(nx)).redISub(ggamma8); } return this.curve.jpoint(nx, ny, nz); }; JPoint.prototype._dbl = function _dbl() { var a = this.curve.a; // 4M + 6S + 10A var jx = this.x; var jy = this.y; var jz = this.z; var jz4 = jz.redSqr().redSqr(); var jx2 = jx.redSqr(); var jy2 = jy.redSqr(); var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4)); var jxd4 = jx.redAdd(jx); jxd4 = jxd4.redIAdd(jxd4); var t1 = jxd4.redMul(jy2); var nx = c.redSqr().redISub(t1.redAdd(t1)); var t2 = t1.redISub(nx); var jyd8 = jy2.redSqr(); jyd8 = jyd8.redIAdd(jyd8); jyd8 = jyd8.redIAdd(jyd8); jyd8 = jyd8.redIAdd(jyd8); var ny = c.redMul(t2).redISub(jyd8); var nz = jy.redAdd(jy).redMul(jz); return this.curve.jpoint(nx, ny, nz); }; JPoint.prototype.trpl = function trpl() { if (!this.curve.zeroA) return this.dbl().add(this); // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#tripling-tpl-2007-bl // 5M + 10S + ... // XX = X1^2 var xx = this.x.redSqr(); // YY = Y1^2 var yy = this.y.redSqr(); // ZZ = Z1^2 var zz = this.z.redSqr(); // YYYY = YY^2 var yyyy = yy.redSqr(); // M = 3 * XX + a * ZZ2; a = 0 var m = xx.redAdd(xx).redIAdd(xx); // MM = M^2 var mm = m.redSqr(); // E = 6 * ((X1 + YY)^2 - XX - YYYY) - MM var e = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); e = e.redIAdd(e); e = e.redAdd(e).redIAdd(e); e = e.redISub(mm); // EE = E^2 var ee = e.redSqr(); // T = 16*YYYY var t = yyyy.redIAdd(yyyy); t = t.redIAdd(t); t = t.redIAdd(t); t = t.redIAdd(t); // U = (M + E)^2 - MM - EE - T var u = m.redIAdd(e).redSqr().redISub(mm).redISub(ee).redISub(t); // X3 = 4 * (X1 * EE - 4 * YY * U) var yyu4 = yy.redMul(u); yyu4 = yyu4.redIAdd(yyu4); yyu4 = yyu4.redIAdd(yyu4); var nx = this.x.redMul(ee).redISub(yyu4); nx = nx.redIAdd(nx); nx = nx.redIAdd(nx); // Y3 = 8 * Y1 * (U * (T - U) - E * EE) var ny = this.y.redMul(u.redMul(t.redISub(u)).redISub(e.redMul(ee))); ny = ny.redIAdd(ny); ny = ny.redIAdd(ny); ny = ny.redIAdd(ny); // Z3 = (Z1 + E)^2 - ZZ - EE var nz = this.z.redAdd(e).redSqr().redISub(zz).redISub(ee); return this.curve.jpoint(nx, ny, nz); }; JPoint.prototype.mul = function mul(k, kbase) { k = new BN(k, kbase); return this.curve._wnafMul(this, k); }; JPoint.prototype.eq = function eq(p) { if (p.type === 'affine') return this.eq(p.toJ()); if (this === p) return true; // x1 * z2^2 == x2 * z1^2 var z2 = this.z.redSqr(); var pz2 = p.z.redSqr(); if (this.x.redMul(pz2).redISub(p.x.redMul(z2)).cmpn(0) !== 0) return false; // y1 * z2^3 == y2 * z1^3 var z3 = z2.redMul(this.z); var pz3 = pz2.redMul(p.z); return this.y.redMul(pz3).redISub(p.y.redMul(z3)).cmpn(0) === 0; }; JPoint.prototype.eqXToP = function eqXToP(x) { var zs = this.z.redSqr(); var rx = x.toRed(this.curve.red).redMul(zs); if (this.x.cmp(rx) === 0) return true; var xc = x.clone(); var t = this.curve.redN.redMul(zs); for (;;) { xc.iadd(this.curve.n); if (xc.cmp(this.curve.p) >= 0) return false; rx.redIAdd(t); if (this.x.cmp(rx) === 0) return true; } }; JPoint.prototype.inspect = function inspect() { if (this.isInfinity()) return ''; return ''; }; JPoint.prototype.isInfinity = function isInfinity() { // XXX This code assumes that zero is always zero in red return this.z.cmpn(0) === 0; }; var curve_1 = createCommonjsModule(function (module, exports) { 'use strict'; var curve = exports; curve.base = base; curve.short = short_1; curve.mont = /*RicMoo:ethers:require(./mont)*/(null); curve.edwards = /*RicMoo:ethers:require(./edwards)*/(null); }); var curves_1 = createCommonjsModule(function (module, exports) { 'use strict'; var curves = exports; var assert = utils_1$1.assert; function PresetCurve(options) { if (options.type === 'short') this.curve = new curve_1.short(options); else if (options.type === 'edwards') this.curve = new curve_1.edwards(options); else this.curve = new curve_1.mont(options); this.g = this.curve.g; this.n = this.curve.n; this.hash = options.hash; assert(this.g.validate(), 'Invalid curve'); assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, G*N != O'); } curves.PresetCurve = PresetCurve; function defineCurve(name, options) { Object.defineProperty(curves, name, { configurable: true, enumerable: true, get: function() { var curve = new PresetCurve(options); Object.defineProperty(curves, name, { configurable: true, enumerable: true, value: curve, }); return curve; }, }); } defineCurve('p192', { type: 'short', prime: 'p192', p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff', a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc', b: '64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1', n: 'ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831', hash: hash.sha256, gRed: false, g: [ '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012', '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811', ], }); defineCurve('p224', { type: 'short', prime: 'p224', p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001', a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe', b: 'b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4', n: 'ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d', hash: hash.sha256, gRed: false, g: [ 'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21', 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34', ], }); defineCurve('p256', { type: 'short', prime: null, p: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff', a: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc', b: '5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b', n: 'ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551', hash: hash.sha256, gRed: false, g: [ '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296', '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5', ], }); defineCurve('p384', { type: 'short', prime: null, p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + 'fffffffe ffffffff 00000000 00000000 ffffffff', a: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + 'fffffffe ffffffff 00000000 00000000 fffffffc', b: 'b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f ' + '5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef', n: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 ' + 'f4372ddf 581a0db2 48b0a77a ecec196a ccc52973', hash: hash.sha384, gRed: false, g: [ 'aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 ' + '5502f25d bf55296c 3a545e38 72760ab7', '3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 ' + '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f', ], }); defineCurve('p521', { type: 'short', prime: null, p: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' + 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + 'ffffffff ffffffff ffffffff ffffffff ffffffff', a: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' + 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + 'ffffffff ffffffff ffffffff ffffffff fffffffc', b: '00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b ' + '99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd ' + '3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00', n: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' + 'ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 ' + 'f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409', hash: hash.sha512, gRed: false, g: [ '000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 ' + '053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 ' + 'a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66', '00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 ' + '579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 ' + '3fad0761 353c7086 a272c240 88be9476 9fd16650', ], }); defineCurve('curve25519', { type: 'mont', prime: 'p25519', p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed', a: '76d06', b: '1', n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed', hash: hash.sha256, gRed: false, g: [ '9', ], }); defineCurve('ed25519', { type: 'edwards', prime: 'p25519', p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed', a: '-1', c: '1', // -121665 * (121666^(-1)) (mod P) d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3', n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed', hash: hash.sha256, gRed: false, g: [ '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a', // 4/5 '6666666666666666666666666666666666666666666666666666666666666658', ], }); var pre; try { pre = /*RicMoo:ethers:require(./precomputed/secp256k1)*/(null).crash(); } catch (e) { pre = undefined; } defineCurve('secp256k1', { type: 'short', prime: 'k256', p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f', a: '0', b: '7', n: 'ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141', h: '1', hash: hash.sha256, // Precomputed endomorphism beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee', lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72', basis: [ { a: '3086d221a7d46bcde86c90e49284eb15', b: '-e4437ed6010e88286f547fa90abfe4c3', }, { a: '114ca50f7a8e2f3f657c1108d9d44cfd8', b: '3086d221a7d46bcde86c90e49284eb15', }, ], gRed: false, g: [ '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798', '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', pre, ], }); }); 'use strict'; function HmacDRBG(options) { if (!(this instanceof HmacDRBG)) return new HmacDRBG(options); this.hash = options.hash; this.predResist = !!options.predResist; this.outLen = this.hash.outSize; this.minEntropy = options.minEntropy || this.hash.hmacStrength; this._reseed = null; this.reseedInterval = null; this.K = null; this.V = null; var entropy = utils_1.toArray(options.entropy, options.entropyEnc || 'hex'); var nonce = utils_1.toArray(options.nonce, options.nonceEnc || 'hex'); var pers = utils_1.toArray(options.pers, options.persEnc || 'hex'); minimalisticAssert(entropy.length >= (this.minEntropy / 8), 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits'); this._init(entropy, nonce, pers); } var hmacDrbg = HmacDRBG; HmacDRBG.prototype._init = function init(entropy, nonce, pers) { var seed = entropy.concat(nonce).concat(pers); this.K = new Array(this.outLen / 8); this.V = new Array(this.outLen / 8); for (var i = 0; i < this.V.length; i++) { this.K[i] = 0x00; this.V[i] = 0x01; } this._update(seed); this._reseed = 1; this.reseedInterval = 0x1000000000000; // 2^48 }; HmacDRBG.prototype._hmac = function hmac() { return new hash.hmac(this.hash, this.K); }; HmacDRBG.prototype._update = function update(seed) { var kmac = this._hmac() .update(this.V) .update([ 0x00 ]); if (seed) kmac = kmac.update(seed); this.K = kmac.digest(); this.V = this._hmac().update(this.V).digest(); if (!seed) return; this.K = this._hmac() .update(this.V) .update([ 0x01 ]) .update(seed) .digest(); this.V = this._hmac().update(this.V).digest(); }; HmacDRBG.prototype.reseed = function reseed(entropy, entropyEnc, add, addEnc) { // Optional entropy enc if (typeof entropyEnc !== 'string') { addEnc = add; add = entropyEnc; entropyEnc = null; } entropy = utils_1.toArray(entropy, entropyEnc); add = utils_1.toArray(add, addEnc); minimalisticAssert(entropy.length >= (this.minEntropy / 8), 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits'); this._update(entropy.concat(add || [])); this._reseed = 1; }; HmacDRBG.prototype.generate = function generate(len, enc, add, addEnc) { if (this._reseed > this.reseedInterval) throw new Error('Reseed is required'); // Optional encoding if (typeof enc !== 'string') { addEnc = add; add = enc; enc = null; } // Optional additional data if (add) { add = utils_1.toArray(add, addEnc || 'hex'); this._update(add); } var temp = []; while (temp.length < len) { this.V = this._hmac().update(this.V).digest(); temp = temp.concat(this.V); } var res = temp.slice(0, len); this._update(add); this._reseed++; return utils_1.encode(res, enc); }; 'use strict'; var assert$3 = utils_1$1.assert; function KeyPair(ec, options) { this.ec = ec; this.priv = null; this.pub = null; // KeyPair(ec, { priv: ..., pub: ... }) if (options.priv) this._importPrivate(options.priv, options.privEnc); if (options.pub) this._importPublic(options.pub, options.pubEnc); } var key = KeyPair; KeyPair.fromPublic = function fromPublic(ec, pub, enc) { if (pub instanceof KeyPair) return pub; return new KeyPair(ec, { pub: pub, pubEnc: enc, }); }; KeyPair.fromPrivate = function fromPrivate(ec, priv, enc) { if (priv instanceof KeyPair) return priv; return new KeyPair(ec, { priv: priv, privEnc: enc, }); }; KeyPair.prototype.validate = function validate() { var pub = this.getPublic(); if (pub.isInfinity()) return { result: false, reason: 'Invalid public key' }; if (!pub.validate()) return { result: false, reason: 'Public key is not a point' }; if (!pub.mul(this.ec.curve.n).isInfinity()) return { result: false, reason: 'Public key * N != O' }; return { result: true, reason: null }; }; KeyPair.prototype.getPublic = function getPublic(compact, enc) { // compact is optional argument if (typeof compact === 'string') { enc = compact; compact = null; } if (!this.pub) this.pub = this.ec.g.mul(this.priv); if (!enc) return this.pub; return this.pub.encode(enc, compact); }; KeyPair.prototype.getPrivate = function getPrivate(enc) { if (enc === 'hex') return this.priv.toString(16, 2); else return this.priv; }; KeyPair.prototype._importPrivate = function _importPrivate(key, enc) { this.priv = new BN(key, enc || 16); // Ensure that the priv won't be bigger than n, otherwise we may fail // in fixed multiplication method this.priv = this.priv.umod(this.ec.curve.n); }; KeyPair.prototype._importPublic = function _importPublic(key, enc) { if (key.x || key.y) { // Montgomery points only have an `x` coordinate. // Weierstrass/Edwards points on the other hand have both `x` and // `y` coordinates. if (this.ec.curve.type === 'mont') { assert$3(key.x, 'Need x coordinate'); } else if (this.ec.curve.type === 'short' || this.ec.curve.type === 'edwards') { assert$3(key.x && key.y, 'Need both x and y coordinate'); } this.pub = this.ec.curve.point(key.x, key.y); return; } this.pub = this.ec.curve.decodePoint(key, enc); }; // ECDH KeyPair.prototype.derive = function derive(pub) { if(!pub.validate()) { assert$3(pub.validate(), 'public point not validated'); } return pub.mul(this.priv).getX(); }; // ECDSA KeyPair.prototype.sign = function sign(msg, enc, options) { return this.ec.sign(msg, this, enc, options); }; KeyPair.prototype.verify = function verify(msg, signature) { return this.ec.verify(msg, signature, this); }; KeyPair.prototype.inspect = function inspect() { return ''; }; 'use strict'; var assert$4 = utils_1$1.assert; function Signature(options, enc) { if (options instanceof Signature) return options; if (this._importDER(options, enc)) return; assert$4(options.r && options.s, 'Signature without r or s'); this.r = new BN(options.r, 16); this.s = new BN(options.s, 16); if (options.recoveryParam === undefined) this.recoveryParam = null; else this.recoveryParam = options.recoveryParam; } var signature = Signature; function Position() { this.place = 0; } function getLength(buf, p) { var initial = buf[p.place++]; if (!(initial & 0x80)) { return initial; } var octetLen = initial & 0xf; // Indefinite length or overflow if (octetLen === 0 || octetLen > 4) { return false; } var val = 0; for (var i = 0, off = p.place; i < octetLen; i++, off++) { val <<= 8; val |= buf[off]; val >>>= 0; } // Leading zeroes if (val <= 0x7f) { return false; } p.place = off; return val; } function rmPadding(buf) { var i = 0; var len = buf.length - 1; while (!buf[i] && !(buf[i + 1] & 0x80) && i < len) { i++; } if (i === 0) { return buf; } return buf.slice(i); } Signature.prototype._importDER = function _importDER(data, enc) { data = utils_1$1.toArray(data, enc); var p = new Position(); if (data[p.place++] !== 0x30) { return false; } var len = getLength(data, p); if (len === false) { return false; } if ((len + p.place) !== data.length) { return false; } if (data[p.place++] !== 0x02) { return false; } var rlen = getLength(data, p); if (rlen === false) { return false; } var r = data.slice(p.place, rlen + p.place); p.place += rlen; if (data[p.place++] !== 0x02) { return false; } var slen = getLength(data, p); if (slen === false) { return false; } if (data.length !== slen + p.place) { return false; } var s = data.slice(p.place, slen + p.place); if (r[0] === 0) { if (r[1] & 0x80) { r = r.slice(1); } else { // Leading zeroes return false; } } if (s[0] === 0) { if (s[1] & 0x80) { s = s.slice(1); } else { // Leading zeroes return false; } } this.r = new BN(r); this.s = new BN(s); this.recoveryParam = null; return true; }; function constructLength(arr, len) { if (len < 0x80) { arr.push(len); return; } var octets = 1 + (Math.log(len) / Math.LN2 >>> 3); arr.push(octets | 0x80); while (--octets) { arr.push((len >>> (octets << 3)) & 0xff); } arr.push(len); } Signature.prototype.toDER = function toDER(enc) { var r = this.r.toArray(); var s = this.s.toArray(); // Pad values if (r[0] & 0x80) r = [ 0 ].concat(r); // Pad values if (s[0] & 0x80) s = [ 0 ].concat(s); r = rmPadding(r); s = rmPadding(s); while (!s[0] && !(s[1] & 0x80)) { s = s.slice(1); } var arr = [ 0x02 ]; constructLength(arr, r.length); arr = arr.concat(r); arr.push(0x02); constructLength(arr, s.length); var backHalf = arr.concat(s); var res = [ 0x30 ]; constructLength(res, backHalf.length); res = res.concat(backHalf); return utils_1$1.encode(res, enc); }; 'use strict'; var rand = /*RicMoo:ethers:require(brorand)*/(function() { throw new Error('unsupported'); }); var assert$5 = utils_1$1.assert; function EC(options) { if (!(this instanceof EC)) return new EC(options); // Shortcut `elliptic.ec(curve-name)` if (typeof options === 'string') { assert$5(Object.prototype.hasOwnProperty.call(curves_1, options), 'Unknown curve ' + options); options = curves_1[options]; } // Shortcut for `elliptic.ec(elliptic.curves.curveName)` if (options instanceof curves_1.PresetCurve) options = { curve: options }; this.curve = options.curve.curve; this.n = this.curve.n; this.nh = this.n.ushrn(1); this.g = this.curve.g; // Point on curve this.g = options.curve.g; this.g.precompute(options.curve.n.bitLength() + 1); // Hash for function for DRBG this.hash = options.hash || options.curve.hash; } var ec = EC; EC.prototype.keyPair = function keyPair(options) { return new key(this, options); }; EC.prototype.keyFromPrivate = function keyFromPrivate(priv, enc) { return key.fromPrivate(this, priv, enc); }; EC.prototype.keyFromPublic = function keyFromPublic(pub, enc) { return key.fromPublic(this, pub, enc); }; EC.prototype.genKeyPair = function genKeyPair(options) { if (!options) options = {}; // Instantiate Hmac_DRBG var drbg = new hmacDrbg({ hash: this.hash, pers: options.pers, persEnc: options.persEnc || 'utf8', entropy: options.entropy || rand(this.hash.hmacStrength), entropyEnc: options.entropy && options.entropyEnc || 'utf8', nonce: this.n.toArray(), }); var bytes = this.n.byteLength(); var ns2 = this.n.sub(new BN(2)); for (;;) { var priv = new BN(drbg.generate(bytes)); if (priv.cmp(ns2) > 0) continue; priv.iaddn(1); return this.keyFromPrivate(priv); } }; EC.prototype._truncateToN = function _truncateToN(msg, truncOnly) { var delta = msg.byteLength() * 8 - this.n.bitLength(); if (delta > 0) msg = msg.ushrn(delta); if (!truncOnly && msg.cmp(this.n) >= 0) return msg.sub(this.n); else return msg; }; EC.prototype.sign = function sign(msg, key, enc, options) { if (typeof enc === 'object') { options = enc; enc = null; } if (!options) options = {}; key = this.keyFromPrivate(key, enc); msg = this._truncateToN(new BN(msg, 16)); // Zero-extend key to provide enough entropy var bytes = this.n.byteLength(); var bkey = key.getPrivate().toArray('be', bytes); // Zero-extend nonce to have the same byte size as N var nonce = msg.toArray('be', bytes); // Instantiate Hmac_DRBG var drbg = new hmacDrbg({ hash: this.hash, entropy: bkey, nonce: nonce, pers: options.pers, persEnc: options.persEnc || 'utf8', }); // Number of bytes to generate var ns1 = this.n.sub(new BN(1)); for (var iter = 0; ; iter++) { var k = options.k ? options.k(iter) : new BN(drbg.generate(this.n.byteLength())); k = this._truncateToN(k, true); if (k.cmpn(1) <= 0 || k.cmp(ns1) >= 0) continue; var kp = this.g.mul(k); if (kp.isInfinity()) continue; var kpX = kp.getX(); var r = kpX.umod(this.n); if (r.cmpn(0) === 0) continue; var s = k.invm(this.n).mul(r.mul(key.getPrivate()).iadd(msg)); s = s.umod(this.n); if (s.cmpn(0) === 0) continue; var recoveryParam = (kp.getY().isOdd() ? 1 : 0) | (kpX.cmp(r) !== 0 ? 2 : 0); // Use complement of `s`, if it is > `n / 2` if (options.canonical && s.cmp(this.nh) > 0) { s = this.n.sub(s); recoveryParam ^= 1; } return new signature({ r: r, s: s, recoveryParam: recoveryParam }); } }; EC.prototype.verify = function verify(msg, signature$1, key, enc) { msg = this._truncateToN(new BN(msg, 16)); key = this.keyFromPublic(key, enc); signature$1 = new signature(signature$1, 'hex'); // Perform primitive values validation var r = signature$1.r; var s = signature$1.s; if (r.cmpn(1) < 0 || r.cmp(this.n) >= 0) return false; if (s.cmpn(1) < 0 || s.cmp(this.n) >= 0) return false; // Validate signature var sinv = s.invm(this.n); var u1 = sinv.mul(msg).umod(this.n); var u2 = sinv.mul(r).umod(this.n); var p; if (!this.curve._maxwellTrick) { p = this.g.mulAdd(u1, key.getPublic(), u2); if (p.isInfinity()) return false; return p.getX().umod(this.n).cmp(r) === 0; } // NOTE: Greg Maxwell's trick, inspired by: // https://git.io/vad3K p = this.g.jmulAdd(u1, key.getPublic(), u2); if (p.isInfinity()) return false; // Compare `p.x` of Jacobian point with `r`, // this will do `p.x == r * p.z^2` instead of multiplying `p.x` by the // inverse of `p.z^2` return p.eqXToP(r); }; EC.prototype.recoverPubKey = function(msg, signature$1, j, enc) { assert$5((3 & j) === j, 'The recovery param is more than two bits'); signature$1 = new signature(signature$1, enc); var n = this.n; var e = new BN(msg); var r = signature$1.r; var s = signature$1.s; // A set LSB signifies that the y-coordinate is odd var isYOdd = j & 1; var isSecondKey = j >> 1; if (r.cmp(this.curve.p.umod(this.curve.n)) >= 0 && isSecondKey) throw new Error('Unable to find sencond key candinate'); // 1.1. Let x = r + jn. if (isSecondKey) r = this.curve.pointFromX(r.add(this.curve.n), isYOdd); else r = this.curve.pointFromX(r, isYOdd); var rInv = signature$1.r.invm(n); var s1 = n.sub(e).mul(rInv).umod(n); var s2 = s.mul(rInv).umod(n); // 1.6.1 Compute Q = r^-1 (sR - eG) // Q = r^-1 (sR + -eG) return this.g.mulAdd(s1, r, s2); }; EC.prototype.getKeyRecoveryParam = function(e, signature$1, Q, enc) { signature$1 = new signature(signature$1, enc); if (signature$1.recoveryParam !== null) return signature$1.recoveryParam; for (var i = 0; i < 4; i++) { var Qprime; try { Qprime = this.recoverPubKey(e, signature$1, i); } catch (e) { continue; } if (Qprime.eq(Q)) return i; } throw new Error('Unable to find valid recovery factor'); }; var elliptic_1 = createCommonjsModule(function (module, exports) { 'use strict'; var elliptic = exports; elliptic.version = /*RicMoo:ethers*/{ version: "6.5.4" }.version; elliptic.utils = utils_1$1; elliptic.rand = /*RicMoo:ethers:require(brorand)*/(function() { throw new Error('unsupported'); }); elliptic.curve = curve_1; elliptic.curves = curves_1; // Protocols elliptic.ec = ec; elliptic.eddsa = /*RicMoo:ethers:require(./elliptic/eddsa)*/(null); }); var EC$1 = elliptic_1.ec; export { EC$1 as EC }; //# sourceMappingURL=elliptic.js.map