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emergent-agent-e1
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103 KiB
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1 line
103 KiB
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{"dependencies":[{"name":"../utils.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":8,"column":0,"index":317},"end":{"line":8,"column":227,"index":544}}],"key":"dGswK136diHRCgUa8xpQUn/UMbc=","exportNames":["*"],"imports":1}},{"name":"./curve.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":9,"column":0,"index":545},"end":{"line":9,"column":78,"index":623}}],"key":"NKqfgvbal9a/XOV6fa5X4e5VYms=","exportNames":["*"],"imports":1}},{"name":"./modular.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":10,"column":0,"index":624},"end":{"line":10,"column":37,"index":661}}],"key":"9k+FDNYf3zXm2KDVSy5nBT9psY4=","exportNames":["*"],"imports":1}}],"output":[{"data":{"code":"__d(function (global, require, _$$_IMPORT_DEFAULT, _$$_IMPORT_ALL, module, exports, _dependencyMap) {\n \"use strict\";\n\n Object.defineProperty(exports, '__esModule', {\n value: true\n });\n exports.edwards = edwards;\n Object.defineProperty(exports, \"PrimeEdwardsPoint\", {\n enumerable: true,\n get: function () {\n return PrimeEdwardsPoint;\n }\n });\n exports.eddsa = eddsa;\n exports.twistedEdwards = twistedEdwards;\n var _utilsJs = require(_dependencyMap[0], \"../utils.js\");\n var _curveJs = require(_dependencyMap[1], \"./curve.js\");\n var _modularJs = require(_dependencyMap[2], \"./modular.js\");\n /**\n * Twisted Edwards curve. The formula is: ax² + y² = 1 + dx²y².\n * For design rationale of types / exports, see weierstrass module documentation.\n * Untwisted Edwards curves exist, but they aren't used in real-world protocols.\n * @module\n */\n /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */\n\n // Be friendly to bad ECMAScript parsers by not using bigint literals\n // prettier-ignore\n const _0n = BigInt(0),\n _1n = BigInt(1),\n _2n = BigInt(2),\n _8n = BigInt(8);\n function isEdValidXY(Fp, CURVE, x, y) {\n const x2 = Fp.sqr(x);\n const y2 = Fp.sqr(y);\n const left = Fp.add(Fp.mul(CURVE.a, x2), y2);\n const right = Fp.add(Fp.ONE, Fp.mul(CURVE.d, Fp.mul(x2, y2)));\n return Fp.eql(left, right);\n }\n function edwards(params, extraOpts = {}) {\n const validated = (0, _curveJs._createCurveFields)('edwards', params, extraOpts, extraOpts.FpFnLE);\n const {\n Fp,\n Fn\n } = validated;\n let CURVE = validated.CURVE;\n const {\n h: cofactor\n } = CURVE;\n (0, _utilsJs._validateObject)(extraOpts, {}, {\n uvRatio: 'function'\n });\n // Important:\n // There are some places where Fp.BYTES is used instead of nByteLength.\n // So far, everything has been tested with curves of Fp.BYTES == nByteLength.\n // TODO: test and find curves which behave otherwise.\n const MASK = _2n << BigInt(Fn.BYTES * 8) - _1n;\n const modP = n => Fp.create(n); // Function overrides\n // sqrt(u/v)\n const uvRatio = extraOpts.uvRatio || ((u, v) => {\n try {\n return {\n isValid: true,\n value: Fp.sqrt(Fp.div(u, v))\n };\n } catch (e) {\n return {\n isValid: false,\n value: _0n\n };\n }\n });\n // Validate whether the passed curve params are valid.\n // equation ax² + y² = 1 + dx²y² should work for generator point.\n if (!isEdValidXY(Fp, CURVE, CURVE.Gx, CURVE.Gy)) throw new Error('bad curve params: generator point');\n /**\n * Asserts coordinate is valid: 0 <= n < MASK.\n * Coordinates >= Fp.ORDER are allowed for zip215.\n */\n function acoord(title, n, banZero = false) {\n const min = banZero ? _1n : _0n;\n (0, _utilsJs.aInRange)('coordinate ' + title, n, min, MASK);\n return n;\n }\n function aextpoint(other) {\n if (!(other instanceof Point)) throw new Error('ExtendedPoint expected');\n }\n // Converts Extended point to default (x, y) coordinates.\n // Can accept precomputed Z^-1 - for example, from invertBatch.\n const toAffineMemo = (0, _utilsJs.memoized)((p, iz) => {\n const {\n X,\n Y,\n Z\n } = p;\n const is0 = p.is0();\n if (iz == null) iz = is0 ? _8n : Fp.inv(Z); // 8 was chosen arbitrarily\n const x = modP(X * iz);\n const y = modP(Y * iz);\n const zz = Fp.mul(Z, iz);\n if (is0) return {\n x: _0n,\n y: _1n\n };\n if (zz !== _1n) throw new Error('invZ was invalid');\n return {\n x,\n y\n };\n });\n const assertValidMemo = (0, _utilsJs.memoized)(p => {\n const {\n a,\n d\n } = CURVE;\n if (p.is0()) throw new Error('bad point: ZERO'); // TODO: optimize, with vars below?\n // Equation in affine coordinates: ax² + y² = 1 + dx²y²\n // Equation in projective coordinates (X/Z, Y/Z, Z): (aX² + Y²)Z² = Z⁴ + dX²Y²\n const {\n X,\n Y,\n Z,\n T\n } = p;\n const X2 = modP(X * X); // X²\n const Y2 = modP(Y * Y); // Y²\n const Z2 = modP(Z * Z); // Z²\n const Z4 = modP(Z2 * Z2); // Z⁴\n const aX2 = modP(X2 * a); // aX²\n const left = modP(Z2 * modP(aX2 + Y2)); // (aX² + Y²)Z²\n const right = modP(Z4 + modP(d * modP(X2 * Y2))); // Z⁴ + dX²Y²\n if (left !== right) throw new Error('bad point: equation left != right (1)');\n // In Extended coordinates we also have T, which is x*y=T/Z: check X*Y == Z*T\n const XY = modP(X * Y);\n const ZT = modP(Z * T);\n if (XY !== ZT) throw new Error('bad point: equation left != right (2)');\n return true;\n });\n // Extended Point works in extended coordinates: (X, Y, Z, T) ∋ (x=X/Z, y=Y/Z, T=xy).\n // https://en.wikipedia.org/wiki/Twisted_Edwards_curve#Extended_coordinates\n class Point {\n constructor(X, Y, Z, T) {\n this.X = acoord('x', X);\n this.Y = acoord('y', Y);\n this.Z = acoord('z', Z, true);\n this.T = acoord('t', T);\n Object.freeze(this);\n }\n static CURVE() {\n return CURVE;\n }\n static fromAffine(p) {\n if (p instanceof Point) throw new Error('extended point not allowed');\n const {\n x,\n y\n } = p || {};\n acoord('x', x);\n acoord('y', y);\n return new Point(x, y, _1n, modP(x * y));\n }\n // Uses algo from RFC8032 5.1.3.\n static fromBytes(bytes, zip215 = false) {\n const len = Fp.BYTES;\n const {\n a,\n d\n } = CURVE;\n bytes = (0, _utilsJs.copyBytes)((0, _utilsJs._abytes2)(bytes, len, 'point'));\n (0, _utilsJs._abool2)(zip215, 'zip215');\n const normed = (0, _utilsJs.copyBytes)(bytes); // copy again, we'll manipulate it\n const lastByte = bytes[len - 1]; // select last byte\n normed[len - 1] = lastByte & ~0x80; // clear last bit\n const y = (0, _utilsJs.bytesToNumberLE)(normed);\n // zip215=true is good for consensus-critical apps. =false follows RFC8032 / NIST186-5.\n // RFC8032 prohibits >= p, but ZIP215 doesn't\n // zip215=true: 0 <= y < MASK (2^256 for ed25519)\n // zip215=false: 0 <= y < P (2^255-19 for ed25519)\n const max = zip215 ? MASK : Fp.ORDER;\n (0, _utilsJs.aInRange)('point.y', y, _0n, max);\n // Ed25519: x² = (y²-1)/(dy²+1) mod p. Ed448: x² = (y²-1)/(dy²-1) mod p. Generic case:\n // ax²+y²=1+dx²y² => y²-1=dx²y²-ax² => y²-1=x²(dy²-a) => x²=(y²-1)/(dy²-a)\n const y2 = modP(y * y); // denominator is always non-0 mod p.\n const u = modP(y2 - _1n); // u = y² - 1\n const v = modP(d * y2 - a); // v = d y² + 1.\n let {\n isValid,\n value: x\n } = uvRatio(u, v); // √(u/v)\n if (!isValid) throw new Error('bad point: invalid y coordinate');\n const isXOdd = (x & _1n) === _1n; // There are 2 square roots. Use x_0 bit to select proper\n const isLastByteOdd = (lastByte & 0x80) !== 0; // x_0, last bit\n if (!zip215 && x === _0n && isLastByteOdd)\n // if x=0 and x_0 = 1, fail\n throw new Error('bad point: x=0 and x_0=1');\n if (isLastByteOdd !== isXOdd) x = modP(-x); // if x_0 != x mod 2, set x = p-x\n return Point.fromAffine({\n x,\n y\n });\n }\n static fromHex(bytes, zip215 = false) {\n return Point.fromBytes((0, _utilsJs.ensureBytes)('point', bytes), zip215);\n }\n get x() {\n return this.toAffine().x;\n }\n get y() {\n return this.toAffine().y;\n }\n precompute(windowSize = 8, isLazy = true) {\n wnaf.createCache(this, windowSize);\n if (!isLazy) this.multiply(_2n); // random number\n return this;\n }\n // Useful in fromAffine() - not for fromBytes(), which always created valid points.\n assertValidity() {\n assertValidMemo(this);\n }\n // Compare one point to another.\n equals(other) {\n aextpoint(other);\n const {\n X: X1,\n Y: Y1,\n Z: Z1\n } = this;\n const {\n X: X2,\n Y: Y2,\n Z: Z2\n } = other;\n const X1Z2 = modP(X1 * Z2);\n const X2Z1 = modP(X2 * Z1);\n const Y1Z2 = modP(Y1 * Z2);\n const Y2Z1 = modP(Y2 * Z1);\n return X1Z2 === X2Z1 && Y1Z2 === Y2Z1;\n }\n is0() {\n return this.equals(Point.ZERO);\n }\n negate() {\n // Flips point sign to a negative one (-x, y in affine coords)\n return new Point(modP(-this.X), this.Y, this.Z, modP(-this.T));\n }\n // Fast algo for doubling Extended Point.\n // https://hyperelliptic.org/EFD/g1p/auto-twisted-extended.html#doubling-dbl-2008-hwcd\n // Cost: 4M + 4S + 1*a + 6add + 1*2.\n double() {\n const {\n a\n } = CURVE;\n const {\n X: X1,\n Y: Y1,\n Z: Z1\n } = this;\n const A = modP(X1 * X1); // A = X12\n const B = modP(Y1 * Y1); // B = Y12\n const C = modP(_2n * modP(Z1 * Z1)); // C = 2*Z12\n const D = modP(a * A); // D = a*A\n const x1y1 = X1 + Y1;\n const E = modP(modP(x1y1 * x1y1) - A - B); // E = (X1+Y1)2-A-B\n const G = D + B; // G = D+B\n const F = G - C; // F = G-C\n const H = D - B; // H = D-B\n const X3 = modP(E * F); // X3 = E*F\n const Y3 = modP(G * H); // Y3 = G*H\n const T3 = modP(E * H); // T3 = E*H\n const Z3 = modP(F * G); // Z3 = F*G\n return new Point(X3, Y3, Z3, T3);\n }\n // Fast algo for adding 2 Extended Points.\n // https://hyperelliptic.org/EFD/g1p/auto-twisted-extended.html#addition-add-2008-hwcd\n // Cost: 9M + 1*a + 1*d + 7add.\n add(other) {\n aextpoint(other);\n const {\n a,\n d\n } = CURVE;\n const {\n X: X1,\n Y: Y1,\n Z: Z1,\n T: T1\n } = this;\n const {\n X: X2,\n Y: Y2,\n Z: Z2,\n T: T2\n } = other;\n const A = modP(X1 * X2); // A = X1*X2\n const B = modP(Y1 * Y2); // B = Y1*Y2\n const C = modP(T1 * d * T2); // C = T1*d*T2\n const D = modP(Z1 * Z2); // D = Z1*Z2\n const E = modP((X1 + Y1) * (X2 + Y2) - A - B); // E = (X1+Y1)*(X2+Y2)-A-B\n const F = D - C; // F = D-C\n const G = D + C; // G = D+C\n const H = modP(B - a * A); // H = B-a*A\n const X3 = modP(E * F); // X3 = E*F\n const Y3 = modP(G * H); // Y3 = G*H\n const T3 = modP(E * H); // T3 = E*H\n const Z3 = modP(F * G); // Z3 = F*G\n return new Point(X3, Y3, Z3, T3);\n }\n subtract(other) {\n return this.add(other.negate());\n }\n // Constant-time multiplication.\n multiply(scalar) {\n // 1 <= scalar < L\n if (!Fn.isValidNot0(scalar)) throw new Error('invalid scalar: expected 1 <= sc < curve.n');\n const {\n p,\n f\n } = wnaf.cached(this, scalar, p => (0, _curveJs.normalizeZ)(Point, p));\n return (0, _curveJs.normalizeZ)(Point, [p, f])[0];\n }\n // Non-constant-time multiplication. Uses double-and-add algorithm.\n // It's faster, but should only be used when you don't care about\n // an exposed private key e.g. sig verification.\n // Does NOT allow scalars higher than CURVE.n.\n // Accepts optional accumulator to merge with multiply (important for sparse scalars)\n multiplyUnsafe(scalar, acc = Point.ZERO) {\n // 0 <= scalar < L\n if (!Fn.isValid(scalar)) throw new Error('invalid scalar: expected 0 <= sc < curve.n');\n if (scalar === _0n) return Point.ZERO;\n if (this.is0() || scalar === _1n) return this;\n return wnaf.unsafe(this, scalar, p => (0, _curveJs.normalizeZ)(Point, p), acc);\n }\n // Checks if point is of small order.\n // If you add something to small order point, you will have \"dirty\"\n // point with torsion component.\n // Multiplies point by cofactor and checks if the result is 0.\n isSmallOrder() {\n return this.multiplyUnsafe(cofactor).is0();\n }\n // Multiplies point by curve order and checks if the result is 0.\n // Returns `false` is the point is dirty.\n isTorsionFree() {\n return wnaf.unsafe(this, CURVE.n).is0();\n }\n // Converts Extended point to default (x, y) coordinates.\n // Can accept precomputed Z^-1 - for example, from invertBatch.\n toAffine(invertedZ) {\n return toAffineMemo(this, invertedZ);\n }\n clearCofactor() {\n if (cofactor === _1n) return this;\n return this.multiplyUnsafe(cofactor);\n }\n toBytes() {\n const {\n x,\n y\n } = this.toAffine();\n // Fp.toBytes() allows non-canonical encoding of y (>= p).\n const bytes = Fp.toBytes(y);\n // Each y has 2 valid points: (x, y), (x,-y).\n // When compressing, it's enough to store y and use the last byte to encode sign of x\n bytes[bytes.length - 1] |= x & _1n ? 0x80 : 0;\n return bytes;\n }\n toHex() {\n return (0, _utilsJs.bytesToHex)(this.toBytes());\n }\n toString() {\n return `<Point ${this.is0() ? 'ZERO' : this.toHex()}>`;\n }\n // TODO: remove\n get ex() {\n return this.X;\n }\n get ey() {\n return this.Y;\n }\n get ez() {\n return this.Z;\n }\n get et() {\n return this.T;\n }\n static normalizeZ(points) {\n return (0, _curveJs.normalizeZ)(Point, points);\n }\n static msm(points, scalars) {\n return (0, _curveJs.pippenger)(Point, Fn, points, scalars);\n }\n _setWindowSize(windowSize) {\n this.precompute(windowSize);\n }\n toRawBytes() {\n return this.toBytes();\n }\n }\n // base / generator point\n Point.BASE = new Point(CURVE.Gx, CURVE.Gy, _1n, modP(CURVE.Gx * CURVE.Gy));\n // zero / infinity / identity point\n Point.ZERO = new Point(_0n, _1n, _1n, _0n); // 0, 1, 1, 0\n // math field\n Point.Fp = Fp;\n // scalar field\n Point.Fn = Fn;\n const wnaf = new _curveJs.wNAF(Point, Fn.BITS);\n Point.BASE.precompute(8); // Enable precomputes. Slows down first publicKey computation by 20ms.\n return Point;\n }\n /**\n * Base class for prime-order points like Ristretto255 and Decaf448.\n * These points eliminate cofactor issues by representing equivalence classes\n * of Edwards curve points.\n */\n class PrimeEdwardsPoint {\n constructor(ep) {\n this.ep = ep;\n }\n // Static methods that must be implemented by subclasses\n static fromBytes(_bytes) {\n (0, _utilsJs.notImplemented)();\n }\n static fromHex(_hex) {\n (0, _utilsJs.notImplemented)();\n }\n get x() {\n return this.toAffine().x;\n }\n get y() {\n return this.toAffine().y;\n }\n // Common implementations\n clearCofactor() {\n // no-op for prime-order groups\n return this;\n }\n assertValidity() {\n this.ep.assertValidity();\n }\n toAffine(invertedZ) {\n return this.ep.toAffine(invertedZ);\n }\n toHex() {\n return (0, _utilsJs.bytesToHex)(this.toBytes());\n }\n toString() {\n return this.toHex();\n }\n isTorsionFree() {\n return true;\n }\n isSmallOrder() {\n return false;\n }\n add(other) {\n this.assertSame(other);\n return this.init(this.ep.add(other.ep));\n }\n subtract(other) {\n this.assertSame(other);\n return this.init(this.ep.subtract(other.ep));\n }\n multiply(scalar) {\n return this.init(this.ep.multiply(scalar));\n }\n multiplyUnsafe(scalar) {\n return this.init(this.ep.multiplyUnsafe(scalar));\n }\n double() {\n return this.init(this.ep.double());\n }\n negate() {\n return this.init(this.ep.negate());\n }\n precompute(windowSize, isLazy) {\n return this.init(this.ep.precompute(windowSize, isLazy));\n }\n /** @deprecated use `toBytes` */\n toRawBytes() {\n return this.toBytes();\n }\n }\n /**\n * Initializes EdDSA signatures over given Edwards curve.\n */\n function eddsa(Point, cHash, eddsaOpts = {}) {\n if (typeof cHash !== 'function') throw new Error('\"hash\" function param is required');\n (0, _utilsJs._validateObject)(eddsaOpts, {}, {\n adjustScalarBytes: 'function',\n randomBytes: 'function',\n domain: 'function',\n prehash: 'function',\n mapToCurve: 'function'\n });\n const {\n prehash\n } = eddsaOpts;\n const {\n BASE,\n Fp,\n Fn\n } = Point;\n const randomBytes = eddsaOpts.randomBytes || _utilsJs.randomBytes;\n const adjustScalarBytes = eddsaOpts.adjustScalarBytes || (bytes => bytes);\n const domain = eddsaOpts.domain || ((data, ctx, phflag) => {\n (0, _utilsJs._abool2)(phflag, 'phflag');\n if (ctx.length || phflag) throw new Error('Contexts/pre-hash are not supported');\n return data;\n }); // NOOP\n // Little-endian SHA512 with modulo n\n function modN_LE(hash) {\n return Fn.create((0, _utilsJs.bytesToNumberLE)(hash)); // Not Fn.fromBytes: it has length limit\n }\n // Get the hashed private scalar per RFC8032 5.1.5\n function getPrivateScalar(key) {\n const len = lengths.secretKey;\n key = (0, _utilsJs.ensureBytes)('private key', key, len);\n // Hash private key with curve's hash function to produce uniformingly random input\n // Check byte lengths: ensure(64, h(ensure(32, key)))\n const hashed = (0, _utilsJs.ensureBytes)('hashed private key', cHash(key), 2 * len);\n const head = adjustScalarBytes(hashed.slice(0, len)); // clear first half bits, produce FE\n const prefix = hashed.slice(len, 2 * len); // second half is called key prefix (5.1.6)\n const scalar = modN_LE(head); // The actual private scalar\n return {\n head,\n prefix,\n scalar\n };\n }\n /** Convenience method that creates public key from scalar. RFC8032 5.1.5 */\n function getExtendedPublicKey(secretKey) {\n const {\n head,\n prefix,\n scalar\n } = getPrivateScalar(secretKey);\n const point = BASE.multiply(scalar); // Point on Edwards curve aka public key\n const pointBytes = point.toBytes();\n return {\n head,\n prefix,\n scalar,\n point,\n pointBytes\n };\n }\n /** Calculates EdDSA pub key. RFC8032 5.1.5. */\n function getPublicKey(secretKey) {\n return getExtendedPublicKey(secretKey).pointBytes;\n }\n // int('LE', SHA512(dom2(F, C) || msgs)) mod N\n function hashDomainToScalar(context = Uint8Array.of(), ...msgs) {\n const msg = (0, _utilsJs.concatBytes)(...msgs);\n return modN_LE(cHash(domain(msg, (0, _utilsJs.ensureBytes)('context', context), !!prehash)));\n }\n /** Signs message with privateKey. RFC8032 5.1.6 */\n function sign(msg, secretKey, options = {}) {\n msg = (0, _utilsJs.ensureBytes)('message', msg);\n if (prehash) msg = prehash(msg); // for ed25519ph etc.\n const {\n prefix,\n scalar,\n pointBytes\n } = getExtendedPublicKey(secretKey);\n const r = hashDomainToScalar(options.context, prefix, msg); // r = dom2(F, C) || prefix || PH(M)\n const R = BASE.multiply(r).toBytes(); // R = rG\n const k = hashDomainToScalar(options.context, R, pointBytes, msg); // R || A || PH(M)\n const s = Fn.create(r + k * scalar); // S = (r + k * s) mod L\n if (!Fn.isValid(s)) throw new Error('sign failed: invalid s'); // 0 <= s < L\n const rs = (0, _utilsJs.concatBytes)(R, Fn.toBytes(s));\n return (0, _utilsJs._abytes2)(rs, lengths.signature, 'result');\n }\n // verification rule is either zip215 or rfc8032 / nist186-5. Consult fromHex:\n const verifyOpts = {\n zip215: true\n };\n /**\n * Verifies EdDSA signature against message and public key. RFC8032 5.1.7.\n * An extended group equation is checked.\n */\n function verify(sig, msg, publicKey, options = verifyOpts) {\n const {\n context,\n zip215\n } = options;\n const len = lengths.signature;\n sig = (0, _utilsJs.ensureBytes)('signature', sig, len);\n msg = (0, _utilsJs.ensureBytes)('message', msg);\n publicKey = (0, _utilsJs.ensureBytes)('publicKey', publicKey, lengths.publicKey);\n if (zip215 !== undefined) (0, _utilsJs._abool2)(zip215, 'zip215');\n if (prehash) msg = prehash(msg); // for ed25519ph, etc\n const mid = len / 2;\n const r = sig.subarray(0, mid);\n const s = (0, _utilsJs.bytesToNumberLE)(sig.subarray(mid, len));\n let A, R, SB;\n try {\n // zip215=true is good for consensus-critical apps. =false follows RFC8032 / NIST186-5.\n // zip215=true: 0 <= y < MASK (2^256 for ed25519)\n // zip215=false: 0 <= y < P (2^255-19 for ed25519)\n A = Point.fromBytes(publicKey, zip215);\n R = Point.fromBytes(r, zip215);\n SB = BASE.multiplyUnsafe(s); // 0 <= s < l is done inside\n } catch (error) {\n return false;\n }\n if (!zip215 && A.isSmallOrder()) return false; // zip215 allows public keys of small order\n const k = hashDomainToScalar(context, R.toBytes(), A.toBytes(), msg);\n const RkA = R.add(A.multiplyUnsafe(k));\n // Extended group equation\n // [8][S]B = [8]R + [8][k]A'\n return RkA.subtract(SB).clearCofactor().is0();\n }\n const _size = Fp.BYTES; // 32 for ed25519, 57 for ed448\n const lengths = {\n secretKey: _size,\n publicKey: _size,\n signature: 2 * _size,\n seed: _size\n };\n function randomSecretKey(seed = randomBytes(lengths.seed)) {\n return (0, _utilsJs._abytes2)(seed, lengths.seed, 'seed');\n }\n function keygen(seed) {\n const secretKey = utils.randomSecretKey(seed);\n return {\n secretKey,\n publicKey: getPublicKey(secretKey)\n };\n }\n function isValidSecretKey(key) {\n return (0, _utilsJs.isBytes)(key) && key.length === Fn.BYTES;\n }\n function isValidPublicKey(key, zip215) {\n try {\n return !!Point.fromBytes(key, zip215);\n } catch (error) {\n return false;\n }\n }\n const utils = {\n getExtendedPublicKey,\n randomSecretKey,\n isValidSecretKey,\n isValidPublicKey,\n /**\n * Converts ed public key to x public key. Uses formula:\n * - ed25519:\n * - `(u, v) = ((1+y)/(1-y), sqrt(-486664)*u/x)`\n * - `(x, y) = (sqrt(-486664)*u/v, (u-1)/(u+1))`\n * - ed448:\n * - `(u, v) = ((y-1)/(y+1), sqrt(156324)*u/x)`\n * - `(x, y) = (sqrt(156324)*u/v, (1+u)/(1-u))`\n */\n toMontgomery(publicKey) {\n const {\n y\n } = Point.fromBytes(publicKey);\n const size = lengths.publicKey;\n const is25519 = size === 32;\n if (!is25519 && size !== 57) throw new Error('only defined for 25519 and 448');\n const u = is25519 ? Fp.div(_1n + y, _1n - y) : Fp.div(y - _1n, y + _1n);\n return Fp.toBytes(u);\n },\n toMontgomerySecret(secretKey) {\n const size = lengths.secretKey;\n (0, _utilsJs._abytes2)(secretKey, size);\n const hashed = cHash(secretKey.subarray(0, size));\n return adjustScalarBytes(hashed).subarray(0, size);\n },\n /** @deprecated */\n randomPrivateKey: randomSecretKey,\n /** @deprecated */\n precompute(windowSize = 8, point = Point.BASE) {\n return point.precompute(windowSize, false);\n }\n };\n return Object.freeze({\n keygen,\n getPublicKey,\n sign,\n verify,\n utils,\n Point,\n lengths\n });\n }\n function _eddsa_legacy_opts_to_new(c) {\n const CURVE = {\n a: c.a,\n d: c.d,\n p: c.Fp.ORDER,\n n: c.n,\n h: c.h,\n Gx: c.Gx,\n Gy: c.Gy\n };\n const Fp = c.Fp;\n const Fn = (0, _modularJs.Field)(CURVE.n, c.nBitLength, true);\n const curveOpts = {\n Fp,\n Fn,\n uvRatio: c.uvRatio\n };\n const eddsaOpts = {\n randomBytes: c.randomBytes,\n adjustScalarBytes: c.adjustScalarBytes,\n domain: c.domain,\n prehash: c.prehash,\n mapToCurve: c.mapToCurve\n };\n return {\n CURVE,\n curveOpts,\n hash: c.hash,\n eddsaOpts\n };\n }\n function _eddsa_new_output_to_legacy(c, eddsa) {\n const Point = eddsa.Point;\n const legacy = Object.assign({}, eddsa, {\n ExtendedPoint: Point,\n CURVE: c,\n nBitLength: Point.Fn.BITS,\n nByteLength: Point.Fn.BYTES\n });\n return legacy;\n }\n // TODO: remove. Use eddsa\n function twistedEdwards(c) {\n const {\n CURVE,\n curveOpts,\n hash,\n eddsaOpts\n } = _eddsa_legacy_opts_to_new(c);\n const Point = edwards(CURVE, curveOpts);\n const EDDSA = eddsa(Point, hash, eddsaOpts);\n return _eddsa_new_output_to_legacy(c, EDDSA);\n 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"],[160,34,118,38],[160,36,118,40,"modP"],[160,40,118,44],[160,41,118,45,"x"],[160,42,118,46],[160,45,118,49,"y"],[160,46,118,50],[160,47,118,51],[160,48,118,52],[161,6,119,8],[162,6,120,8],[163,6,121,8],[163,13,121,15,"fromBytes"],[163,22,121,24,"fromBytes"],[163,23,121,25,"bytes"],[163,28,121,30],[163,30,121,32,"zip215"],[163,36,121,38],[163,39,121,41],[163,44,121,46],[163,46,121,48],[164,8,122,12],[164,14,122,18,"len"],[164,17,122,21],[164,20,122,24,"Fp"],[164,22,122,26],[164,23,122,27,"BYTES"],[164,28,122,32],[165,8,123,12],[165,14,123,18],[166,10,123,20,"a"],[166,11,123,21],[167,10,123,23,"d"],[168,8,123,25],[168,9,123,26],[168,12,123,29,"CURVE"],[168,17,123,34],[169,8,124,12,"bytes"],[169,13,124,17],[169,16,124,20],[169,20,124,20,"copyBytes"],[169,28,124,29],[169,29,124,29,"copyBytes"],[169,38,124,29],[169,40,124,30],[169,44,124,30,"abytes"],[169,52,124,36],[169,53,124,36,"_abytes2"],[169,61,124,36],[169,63,124,37,"bytes"],[169,68,124,42],[169,70,124,44,"len"],[169,73,124,47],[169,75,124,49],[169,82,124,56],[169,83,124,57],[169,84,124,58],[170,8,125,12],[170,12,125,12,"abool"],[170,20,125,17],[170,21,125,17,"_abool2"],[170,28,125,17],[170,30,125,18,"zip215"],[170,36,125,24],[170,38,125,26],[170,46,125,34],[170,47,125,35],[171,8,126,12],[171,14,126,18,"normed"],[171,20,126,24],[171,23,126,27],[171,27,126,27,"copyBytes"],[171,35,126,36],[171,36,126,36,"copyBytes"],[171,45,126,36],[171,47,126,37,"bytes"],[171,52,126,42],[171,53,126,43],[171,54,126,44],[171,55,126,45],[172,8,127,12],[172,14,127,18,"lastByte"],[172,22,127,26],[172,25,127,29,"bytes"],[172,30,127,34],[172,31,127,35,"len"],[172,34,127,38],[172,37,127,41],[172,38,127,42],[172,39,127,43],[172,40,127,44],[172,41,127,45],[173,8,128,12,"normed"],[173,14,128,18],[173,15,128,19,"len"],[173,18,128,22],[173,21,128,25],[173,22,128,26],[173,23,128,27],[173,26,128,30,"lastByte"],[173,34,128,38],[173,37,128,41],[173,38,128,42],[173,42,128,46],[173,43,128,47],[173,44,128,48],[174,8,129,12],[174,14,129,18,"y"],[174,15,129,19],[174,18,129,22],[174,22,129,22,"bytesToNumberLE"],[174,30,129,37],[174,31,129,37,"bytesToNumberLE"],[174,46,129,37],[174,48,129,38,"normed"],[174,54,129,44],[174,55,129,45],[175,8,130,12],[176,8,131,12],[177,8,132,12],[178,8,133,12],[179,8,134,12],[179,14,134,18,"max"],[179,17,134,21],[179,20,134,24,"zip215"],[179,26,134,30],[179,29,134,33,"MASK"],[179,33,134,37],[179,36,134,40,"Fp"],[179,38,134,42],[179,39,134,43,"ORDER"],[179,44,134,48],[180,8,135,12],[180,12,135,12,"aInRange"],[180,20,135,20],[180,21,135,20,"aInRange"],[180,29,135,20],[180,31,135,21],[180,40,135,30],[180,42,135,32,"y"],[180,43,135,33],[180,45,135,35,"_0n"],[180,48,135,38],[180,50,135,40,"max"],[180,53,135,43],[180,54,135,44],[181,8,136,12],[182,8,137,12],[183,8,138,12],[183,14,138,18,"y2"],[183,16,138,20],[183,19,138,23,"modP"],[183,23,138,27],[183,24,138,28,"y"],[183,25,138,29],[183,28,138,32,"y"],[183,29,138,33],[183,30,138,34],[183,31,138,35],[183,32,138,36],[184,8,139,12],[184,14,139,18,"u"],[184,15,139,19],[184,18,139,22,"modP"],[184,22,139,26],[184,23,139,27,"y2"],[184,25,139,29],[184,28,139,32,"_1n"],[184,31,139,35],[184,32,139,36],[184,33,139,37],[184,34,139,38],[185,8,140,12],[185,14,140,18,"v"],[185,15,140,19],[185,18,140,22,"modP"],[185,22,140,26],[185,23,140,27,"d"],[185,24,140,28],[185,27,140,31,"y2"],[185,29,140,33],[185,32,140,36,"a"],[185,33,140,37],[185,34,140,38],[185,35,140,39],[185,36,140,40],[186,8,141,12],[186,12,141,16],[187,10,141,18,"isValid"],[187,17,141,25],[188,10,141,27,"value"],[188,15,141,32],[188,17,141,34,"x"],[189,8,141,36],[189,9,141,37],[189,12,141,40,"uvRatio"],[189,19,141,47],[189,20,141,48,"u"],[189,21,141,49],[189,23,141,51,"v"],[189,24,141,52],[189,25,141,53],[189,26,141,54],[189,27,141,55],[190,8,142,12],[190,12,142,16],[190,13,142,17,"isValid"],[190,20,142,24],[190,22,143,16],[190,28,143,22],[190,32,143,26,"Error"],[190,37,143,31],[190,38,143,32],[190,71,143,65],[190,72,143,66],[191,8,144,12],[191,14,144,18,"isXOdd"],[191,20,144,24],[191,23,144,27],[191,24,144,28,"x"],[191,25,144,29],[191,28,144,32,"_1n"],[191,31,144,35],[191,37,144,41,"_1n"],[191,40,144,44],[191,41,144,45],[191,42,144,46],[192,8,145,12],[192,14,145,18,"isLastByteOdd"],[192,27,145,31],[192,30,145,34],[192,31,145,35,"lastByte"],[192,39,145,43],[192,42,145,46],[192,46,145,50],[192,52,145,56],[192,53,145,57],[192,54,145,58],[192,55,145,59],[193,8,146,12],[193,12,146,16],[193,13,146,17,"zip215"],[193,19,146,23],[193,23,146,27,"x"],[193,24,146,28],[193,29,146,33,"_0n"],[193,32,146,36],[193,36,146,40,"isLastByteOdd"],[193,49,146,53],[194,10,147,16],[195,10,148,16],[195,16,148,22],[195,20,148,26,"Error"],[195,25,148,31],[195,26,148,32],[195,52,148,58],[195,53,148,59],[196,8,149,12],[196,12,149,16,"isLastByteOdd"],[196,25,149,29],[196,30,149,34,"isXOdd"],[196,36,149,40],[196,38,150,16,"x"],[196,39,150,17],[196,42,150,20,"modP"],[196,46,150,24],[196,47,150,25],[196,48,150,26,"x"],[196,49,150,27],[196,50,150,28],[196,51,150,29],[196,52,150,30],[197,8,151,12],[197,15,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,"pippenger"],[389,27,313,28],[389,28,313,28,"pippenger"],[389,37,313,28],[389,39,313,29,"Point"],[389,44,313,34],[389,46,313,36,"Fn"],[389,48,313,38],[389,50,313,40,"points"],[389,56,313,46],[389,58,313,48,"scalars"],[389,65,313,55],[389,66,313,56],[390,6,314,8],[391,6,315,8,"_setWindowSize"],[391,20,315,22,"_setWindowSize"],[391,21,315,23,"windowSize"],[391,31,315,33],[391,33,315,35],[392,8,316,12],[392,12,316,16],[392,13,316,17,"precompute"],[392,23,316,27],[392,24,316,28,"windowSize"],[392,34,316,38],[392,35,316,39],[393,6,317,8],[394,6,318,8,"toRawBytes"],[394,16,318,18,"toRawBytes"],[394,17,318,18],[394,19,318,21],[395,8,319,12],[395,15,319,19],[395,19,319,23],[395,20,319,24,"toBytes"],[395,27,319,31],[395,28,319,32],[395,29,319,33],[396,6,320,8],[397,4,321,4],[398,4,322,4],[399,4,323,4,"Point"],[399,9,323,9],[399,10,323,10,"BASE"],[399,14,323,14],[399,17,323,17],[399,21,323,21,"Point"],[399,26,323,26],[399,27,323,27,"CURVE"],[399,32,323,32],[399,33,323,33,"Gx"],[399,35,323,35],[399,37,323,37,"CURVE"],[399,42,323,42],[399,43,323,43,"Gy"],[399,45,323,45],[399,47,323,47,"_1n"],[399,50,323,50],[399,52,323,52,"modP"],[399,56,323,56],[399,57,323,57,"CURVE"],[399,62,323,62],[399,63,323,63,"Gx"],[399,65,323,65],[399,68,323,68,"CURVE"],[399,73,323,73],[399,74,323,74,"Gy"],[399,76,323,76],[399,77,323,77],[399,78,323,78],[400,4,324,4],[401,4,325,4,"Point"],[401,9,325,9],[401,10,325,10,"ZERO"],[401,14,325,14],[401,17,325,17],[401,21,325,21,"Point"],[401,26,325,26],[401,27,325,27,"_0n"],[401,30,325,30],[401,32,325,32,"_1n"],[401,35,325,35],[401,37,325,37,"_1n"],[401,40,325,40],[401,42,325,42,"_0n"],[401,45,325,45],[401,46,325,46],[401,47,325,47],[401,48,325,48],[402,4,326,4],[403,4,327,4,"Point"],[403,9,327,9],[403,10,327,10,"Fp"],[403,12,327,12],[403,15,327,15,"Fp"],[403,17,327,17],[404,4,328,4],[405,4,329,4,"Point"],[405,9,329,9],[405,10,329,10,"Fn"],[405,12,329,12],[405,15,329,15,"Fn"],[405,17,329,17],[406,4,330,4],[406,10,330,10,"wnaf"],[406,14,330,14],[406,17,330,17],[406,21,330,21,"wNAF"],[406,29,330,25],[406,30,330,25,"wNAF"],[406,34,330,25],[406,35,330,26,"Point"],[406,40,330,31],[406,42,330,33,"Fn"],[406,44,330,35],[406,45,330,36,"BITS"],[406,49,330,40],[406,50,330,41],[407,4,331,4,"Point"],[407,9,331,9],[407,10,331,10,"BASE"],[407,14,331,14],[407,15,331,15,"precompute"],[407,25,331,25],[407,26,331,26],[407,27,331,27],[407,28,331,28],[407,29,331,29],[407,30,331,30],[408,4,332,4],[408,11,332,11,"Point"],[408,16,332,16],[409,2,333,0],[410,2,334,0],[411,0,335,0],[412,0,336,0],[413,0,337,0],[414,0,338,0],[415,2,339,7],[415,8,339,13,"PrimeEdwardsPoint"],[415,25,339,30],[415,26,339,31],[416,4,340,4,"constructor"],[416,15,340,15,"constructor"],[416,16,340,16,"ep"],[416,18,340,18],[416,20,340,20],[417,6,341,8],[417,10,341,12],[417,11,341,13,"ep"],[417,13,341,15],[417,16,341,18,"ep"],[417,18,341,20],[418,4,342,4],[419,4,343,4],[420,4,344,4],[420,11,344,11,"fromBytes"],[420,20,344,20,"fromBytes"],[420,21,344,21,"_bytes"],[420,27,344,27],[420,29,344,29],[421,6,345,8],[421,10,345,8,"notImplemented"],[421,18,345,22],[421,19,345,22,"notImplemented"],[421,33,345,22],[421,35,345,23],[421,36,345,24],[422,4,346,4],[423,4,347,4],[423,11,347,11,"fromHex"],[423,18,347,18,"fromHex"],[423,19,347,19,"_hex"],[423,23,347,23],[423,25,347,25],[424,6,348,8],[424,10,348,8,"notImplemented"],[424,18,348,22],[424,19,348,22,"notImplemented"],[424,33,348,22],[424,35,348,23],[424,36,348,24],[425,4,349,4],[426,4,350,4],[426,8,350,8,"x"],[426,9,350,9,"x"],[426,10,350,9],[426,12,350,12],[427,6,351,8],[427,13,351,15],[427,17,351,19],[427,18,351,20,"toAffine"],[427,26,351,28],[427,27,351,29],[427,28,351,30],[427,29,351,31,"x"],[427,30,351,32],[428,4,352,4],[429,4,353,4],[429,8,353,8,"y"],[429,9,353,9,"y"],[429,10,353,9],[429,12,353,12],[430,6,354,8],[430,13,354,15],[430,17,354,19],[430,18,354,20,"toAffine"],[430,26,354,28],[430,27,354,29],[430,28,354,30],[430,29,354,31,"y"],[430,30,354,32],[431,4,355,4],[432,4,356,4],[433,4,357,4,"clearCofactor"],[433,17,357,17,"clearCofactor"],[433,18,357,17],[433,20,357,20],[434,6,358,8],[435,6,359,8],[435,13,359,15],[435,17,359,19],[436,4,360,4],[437,4,361,4,"assertValidity"],[437,18,361,18,"assertValidity"],[437,19,361,18],[437,21,361,21],[438,6,362,8],[438,10,362,12],[438,11,362,13,"ep"],[438,13,362,15],[438,14,362,16,"assertValidity"],[438,28,362,30],[438,29,362,31],[438,30,362,32],[439,4,363,4],[440,4,364,4,"toAffine"],[440,12,364,12,"toAffine"],[440,13,364,13,"invertedZ"],[440,22,364,22],[440,24,364,24],[441,6,365,8],[441,13,365,15],[441,17,365,19],[441,18,365,20,"ep"],[441,20,365,22],[441,21,365,23,"toAffine"],[441,29,365,31],[441,30,365,32,"invertedZ"],[441,39,365,41],[441,40,365,42],[442,4,366,4],[443,4,367,4,"toHex"],[443,9,367,9,"toHex"],[443,10,367,9],[443,12,367,12],[444,6,368,8],[444,13,368,15],[444,17,368,15,"bytesToHex"],[444,25,368,25],[444,26,368,25,"bytesToHex"],[444,36,368,25],[444,38,368,26],[444,42,368,30],[444,43,368,31,"toBytes"],[444,50,368,38],[444,51,368,39],[444,52,368,40],[444,53,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