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- 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 '<EC Point Infinity>';
- return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +
- ' y: ' + this.y.fromRed().toString(16, 2) + '>';
- };
- 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 '<EC JPoint Infinity>';
- return '<EC JPoint x: ' + this.x.toString(16, 2) +
- ' y: ' + this.y.toString(16, 2) +
- ' z: ' + this.z.toString(16, 2) + '>';
- };
- 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 '<Key priv: ' + (this.priv && this.priv.toString(16, 2)) +
- ' pub: ' + (this.pub && this.pub.inspect()) + ' >';
- };
- '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
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