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emergent-agent-e1
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246 KiB
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{"dependencies":[{"name":"@noble/hashes/hmac.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":41,"column":18,"index":1888},"end":{"line":41,"column":50,"index":1920}}],"key":"OsRgxCpwQqHSRFLXuLW2hZmZg64=","exportNames":["*"],"imports":1}},{"name":"@noble/hashes/utils","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":42,"column":16,"index":1938},"end":{"line":42,"column":46,"index":1968}}],"key":"2Rf0wxfrJFf/X13KhBJ3DUHOYWE=","exportNames":["*"],"imports":1}},{"name":"../utils.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":43,"column":19,"index":1989},"end":{"line":43,"column":41,"index":2011}}],"key":"Yc7DmwhweSDBIC4bv+r2fO8xp6U=","exportNames":["*"],"imports":1}},{"name":"./curve.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":44,"column":19,"index":2032},"end":{"line":44,"column":40,"index":2053}}],"key":"D2lpvogjUpmMFXMnxIh5QgGQVQM=","exportNames":["*"],"imports":1}},{"name":"./modular.js","data":{"asyncType":null,"isESMImport":false,"locs":[{"start":{"line":45,"column":21,"index":2076},"end":{"line":45,"column":44,"index":2099}}],"key":"pkHxIsiyj9LvPZma2E+OjOIbg7k=","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.DER = exports.DERErr = void 0;\n exports._splitEndoScalar = _splitEndoScalar;\n exports._normFnElement = _normFnElement;\n exports.weierstrassN = weierstrassN;\n exports.SWUFpSqrtRatio = SWUFpSqrtRatio;\n exports.mapToCurveSimpleSWU = mapToCurveSimpleSWU;\n exports.ecdh = ecdh;\n exports.ecdsa = ecdsa;\n exports.weierstrassPoints = weierstrassPoints;\n exports._legacyHelperEquat = _legacyHelperEquat;\n exports.weierstrass = weierstrass;\n /**\n * Short Weierstrass curve methods. The formula is: y² = x³ + ax + b.\n *\n * ### Design rationale for types\n *\n * * Interaction between classes from different curves should fail:\n * `k256.Point.BASE.add(p256.Point.BASE)`\n * * For this purpose we want to use `instanceof` operator, which is fast and works during runtime\n * * Different calls of `curve()` would return different classes -\n * `curve(params) !== curve(params)`: if somebody decided to monkey-patch their curve,\n * it won't affect others\n *\n * TypeScript can't infer types for classes created inside a function. Classes is one instance\n * of nominative types in TypeScript and interfaces only check for shape, so it's hard to create\n * unique type for every function call.\n *\n * We can use generic types via some param, like curve opts, but that would:\n * 1. Enable interaction between `curve(params)` and `curve(params)` (curves of same params)\n * which is hard to debug.\n * 2. Params can be generic and we can't enforce them to be constant value:\n * if somebody creates curve from non-constant params,\n * it would be allowed to interact with other curves with non-constant params\n *\n * @todo https://www.typescriptlang.org/docs/handbook/release-notes/typescript-2-7.html#unique-symbol\n * @module\n */\n /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */\n const hmac_js_1 = require(_dependencyMap[0], \"@noble/hashes/hmac.js\");\n const utils_1 = require(_dependencyMap[1], \"@noble/hashes/utils\");\n const utils_ts_1 = require(_dependencyMap[2], \"../utils.js\");\n const curve_ts_1 = require(_dependencyMap[3], \"./curve.js\");\n const modular_ts_1 = require(_dependencyMap[4], \"./modular.js\");\n // We construct basis in such way that den is always positive and equals n, but num sign depends on basis (not on secret value)\n const divNearest = (num, den) => (num + (num >= 0 ? den : -den) / _2n) / den;\n /**\n * Splits scalar for GLV endomorphism.\n */\n function _splitEndoScalar(k, basis, n) {\n // Split scalar into two such that part is ~half bits: `abs(part) < sqrt(N)`\n // Since part can be negative, we need to do this on point.\n // TODO: verifyScalar function which consumes lambda\n const [[a1, b1], [a2, b2]] = basis;\n const c1 = divNearest(b2 * k, n);\n const c2 = divNearest(-b1 * k, n);\n // |k1|/|k2| is < sqrt(N), but can be negative.\n // If we do `k1 mod N`, we'll get big scalar (`> sqrt(N)`): so, we do cheaper negation instead.\n let k1 = k - c1 * a1 - c2 * a2;\n let k2 = -c1 * b1 - c2 * b2;\n const k1neg = k1 < _0n;\n const k2neg = k2 < _0n;\n if (k1neg) k1 = -k1;\n if (k2neg) k2 = -k2;\n // Double check that resulting scalar less than half bits of N: otherwise wNAF will fail.\n // This should only happen on wrong basises. Also, math inside is too complex and I don't trust it.\n const MAX_NUM = (0, utils_ts_1.bitMask)(Math.ceil((0, utils_ts_1.bitLen)(n) / 2)) + _1n; // Half bits of N\n if (k1 < _0n || k1 >= MAX_NUM || k2 < _0n || k2 >= MAX_NUM) {\n throw new Error('splitScalar (endomorphism): failed, k=' + k);\n }\n return {\n k1neg,\n k1,\n k2neg,\n k2\n };\n }\n function validateSigFormat(format) {\n if (!['compact', 'recovered', 'der'].includes(format)) throw new Error('Signature format must be \"compact\", \"recovered\", or \"der\"');\n return format;\n }\n function validateSigOpts(opts, def) {\n const optsn = {};\n for (let optName of Object.keys(def)) {\n // @ts-ignore\n optsn[optName] = opts[optName] === undefined ? def[optName] : opts[optName];\n }\n (0, utils_ts_1._abool2)(optsn.lowS, 'lowS');\n (0, utils_ts_1._abool2)(optsn.prehash, 'prehash');\n if (optsn.format !== undefined) validateSigFormat(optsn.format);\n return optsn;\n }\n class DERErr extends Error {\n constructor(m = '') {\n super(m);\n }\n }\n exports.DERErr = DERErr;\n /**\n * ASN.1 DER encoding utilities. ASN is very complex & fragile. Format:\n *\n * [0x30 (SEQUENCE), bytelength, 0x02 (INTEGER), intLength, R, 0x02 (INTEGER), intLength, S]\n *\n * Docs: https://letsencrypt.org/docs/a-warm-welcome-to-asn1-and-der/, https://luca.ntop.org/Teaching/Appunti/asn1.html\n */\n exports.DER = {\n // asn.1 DER encoding utils\n Err: DERErr,\n // Basic building block is TLV (Tag-Length-Value)\n _tlv: {\n encode: (tag, data) => {\n const {\n Err: E\n } = exports.DER;\n if (tag < 0 || tag > 256) throw new E('tlv.encode: wrong tag');\n if (data.length & 1) throw new E('tlv.encode: unpadded data');\n const dataLen = data.length / 2;\n const len = (0, utils_ts_1.numberToHexUnpadded)(dataLen);\n if (len.length / 2 & 128) throw new E('tlv.encode: long form length too big');\n // length of length with long form flag\n const lenLen = dataLen > 127 ? (0, utils_ts_1.numberToHexUnpadded)(len.length / 2 | 128) : '';\n const t = (0, utils_ts_1.numberToHexUnpadded)(tag);\n return t + lenLen + len + data;\n },\n // v - value, l - left bytes (unparsed)\n decode(tag, data) {\n const {\n Err: E\n } = exports.DER;\n let pos = 0;\n if (tag < 0 || tag > 256) throw new E('tlv.encode: wrong tag');\n if (data.length < 2 || data[pos++] !== tag) throw new E('tlv.decode: wrong tlv');\n const first = data[pos++];\n const isLong = !!(first & 128); // First bit of first length byte is flag for short/long form\n let length = 0;\n if (!isLong) length = first;else {\n // Long form: [longFlag(1bit), lengthLength(7bit), length (BE)]\n const lenLen = first & 127;\n if (!lenLen) throw new E('tlv.decode(long): indefinite length not supported');\n if (lenLen > 4) throw new E('tlv.decode(long): byte length is too big'); // this will overflow u32 in js\n const lengthBytes = data.subarray(pos, pos + lenLen);\n if (lengthBytes.length !== lenLen) throw new E('tlv.decode: length bytes not complete');\n if (lengthBytes[0] === 0) throw new E('tlv.decode(long): zero leftmost byte');\n for (const b of lengthBytes) length = length << 8 | b;\n pos += lenLen;\n if (length < 128) throw new E('tlv.decode(long): not minimal encoding');\n }\n const v = data.subarray(pos, pos + length);\n if (v.length !== length) throw new E('tlv.decode: wrong value length');\n return {\n v,\n l: data.subarray(pos + length)\n };\n }\n },\n // https://crypto.stackexchange.com/a/57734 Leftmost bit of first byte is 'negative' flag,\n // since we always use positive integers here. It must always be empty:\n // - add zero byte if exists\n // - if next byte doesn't have a flag, leading zero is not allowed (minimal encoding)\n _int: {\n encode(num) {\n const {\n Err: E\n } = exports.DER;\n if (num < _0n) throw new E('integer: negative integers are not allowed');\n let hex = (0, utils_ts_1.numberToHexUnpadded)(num);\n // Pad with zero byte if negative flag is present\n if (Number.parseInt(hex[0], 16) & 0b1000) hex = '00' + hex;\n if (hex.length & 1) throw new E('unexpected DER parsing assertion: unpadded hex');\n return hex;\n },\n decode(data) {\n const {\n Err: E\n } = exports.DER;\n if (data[0] & 128) throw new E('invalid signature integer: negative');\n if (data[0] === 0x00 && !(data[1] & 128)) throw new E('invalid signature integer: unnecessary leading zero');\n return (0, utils_ts_1.bytesToNumberBE)(data);\n }\n },\n toSig(hex) {\n // parse DER signature\n const {\n Err: E,\n _int: int,\n _tlv: tlv\n } = exports.DER;\n const data = (0, utils_ts_1.ensureBytes)('signature', hex);\n const {\n v: seqBytes,\n l: seqLeftBytes\n } = tlv.decode(0x30, data);\n if (seqLeftBytes.length) throw new E('invalid signature: left bytes after parsing');\n const {\n v: rBytes,\n l: rLeftBytes\n } = tlv.decode(0x02, seqBytes);\n const {\n v: sBytes,\n l: sLeftBytes\n } = tlv.decode(0x02, rLeftBytes);\n if (sLeftBytes.length) throw new E('invalid signature: left bytes after parsing');\n return {\n r: int.decode(rBytes),\n s: int.decode(sBytes)\n };\n },\n hexFromSig(sig) {\n const {\n _tlv: tlv,\n _int: int\n } = exports.DER;\n const rs = tlv.encode(0x02, int.encode(sig.r));\n const ss = tlv.encode(0x02, int.encode(sig.s));\n const seq = rs + ss;\n return tlv.encode(0x30, seq);\n }\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 _3n = BigInt(3),\n _4n = BigInt(4);\n function _normFnElement(Fn, key) {\n const {\n BYTES: expected\n } = Fn;\n let num;\n if (typeof key === 'bigint') {\n num = key;\n } else {\n let bytes = (0, utils_ts_1.ensureBytes)('private key', key);\n try {\n num = Fn.fromBytes(bytes);\n } catch (error) {\n throw new Error(`invalid private key: expected ui8a of size ${expected}, got ${typeof key}`);\n }\n }\n if (!Fn.isValidNot0(num)) throw new Error('invalid private key: out of range [1..N-1]');\n return num;\n }\n /**\n * Creates weierstrass Point constructor, based on specified curve options.\n *\n * @example\n ```js\n const opts = {\n p: BigInt('0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff'),\n n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'),\n h: BigInt(1),\n a: BigInt('0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc'),\n b: BigInt('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b'),\n Gx: BigInt('0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296'),\n Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'),\n };\n const p256_Point = weierstrass(opts);\n ```\n */\n function weierstrassN(params, extraOpts = {}) {\n const validated = (0, curve_ts_1._createCurveFields)('weierstrass', params, extraOpts);\n const {\n Fp,\n Fn\n } = validated;\n let CURVE = validated.CURVE;\n const {\n h: cofactor,\n n: CURVE_ORDER\n } = CURVE;\n (0, utils_ts_1._validateObject)(extraOpts, {}, {\n allowInfinityPoint: 'boolean',\n clearCofactor: 'function',\n isTorsionFree: 'function',\n fromBytes: 'function',\n toBytes: 'function',\n endo: 'object',\n wrapPrivateKey: 'boolean'\n });\n const {\n endo\n } = extraOpts;\n if (endo) {\n // validateObject(endo, { beta: 'bigint', splitScalar: 'function' });\n if (!Fp.is0(CURVE.a) || typeof endo.beta !== 'bigint' || !Array.isArray(endo.basises)) {\n throw new Error('invalid endo: expected \"beta\": bigint and \"basises\": array');\n }\n }\n const lengths = getWLengths(Fp, Fn);\n function assertCompressionIsSupported() {\n if (!Fp.isOdd) throw new Error('compression is not supported: Field does not have .isOdd()');\n }\n // Implements IEEE P1363 point encoding\n function pointToBytes(_c, point, isCompressed) {\n const {\n x,\n y\n } = point.toAffine();\n const bx = Fp.toBytes(x);\n (0, utils_ts_1._abool2)(isCompressed, 'isCompressed');\n if (isCompressed) {\n assertCompressionIsSupported();\n const hasEvenY = !Fp.isOdd(y);\n return (0, utils_ts_1.concatBytes)(pprefix(hasEvenY), bx);\n } else {\n return (0, utils_ts_1.concatBytes)(Uint8Array.of(0x04), bx, Fp.toBytes(y));\n }\n }\n function pointFromBytes(bytes) {\n (0, utils_ts_1._abytes2)(bytes, undefined, 'Point');\n const {\n publicKey: comp,\n publicKeyUncompressed: uncomp\n } = lengths; // e.g. for 32-byte: 33, 65\n const length = bytes.length;\n const head = bytes[0];\n const tail = bytes.subarray(1);\n // No actual validation is done here: use .assertValidity()\n if (length === comp && (head === 0x02 || head === 0x03)) {\n const x = Fp.fromBytes(tail);\n if (!Fp.isValid(x)) throw new Error('bad point: is not on curve, wrong x');\n const y2 = weierstrassEquation(x); // y² = x³ + ax + b\n let y;\n try {\n y = Fp.sqrt(y2); // y = y² ^ (p+1)/4\n } catch (sqrtError) {\n const err = sqrtError instanceof Error ? ': ' + sqrtError.message : '';\n throw new Error('bad point: is not on curve, sqrt error' + err);\n }\n assertCompressionIsSupported();\n const isYOdd = Fp.isOdd(y); // (y & _1n) === _1n;\n const isHeadOdd = (head & 1) === 1; // ECDSA-specific\n if (isHeadOdd !== isYOdd) y = Fp.neg(y);\n return {\n x,\n y\n };\n } else if (length === uncomp && head === 0x04) {\n // TODO: more checks\n const L = Fp.BYTES;\n const x = Fp.fromBytes(tail.subarray(0, L));\n const y = Fp.fromBytes(tail.subarray(L, L * 2));\n if (!isValidXY(x, y)) throw new Error('bad point: is not on curve');\n return {\n x,\n y\n };\n } else {\n throw new Error(`bad point: got length ${length}, expected compressed=${comp} or uncompressed=${uncomp}`);\n }\n }\n const encodePoint = extraOpts.toBytes || pointToBytes;\n const decodePoint = extraOpts.fromBytes || pointFromBytes;\n function weierstrassEquation(x) {\n const x2 = Fp.sqr(x); // x * x\n const x3 = Fp.mul(x2, x); // x² * x\n return Fp.add(Fp.add(x3, Fp.mul(x, CURVE.a)), CURVE.b); // x³ + a * x + b\n }\n // TODO: move top-level\n /** Checks whether equation holds for given x, y: y² == x³ + ax + b */\n function isValidXY(x, y) {\n const left = Fp.sqr(y); // y²\n const right = weierstrassEquation(x); // x³ + ax + b\n return Fp.eql(left, right);\n }\n // Validate whether the passed curve params are valid.\n // Test 1: equation y² = x³ + ax + b should work for generator point.\n if (!isValidXY(CURVE.Gx, CURVE.Gy)) throw new Error('bad curve params: generator point');\n // Test 2: discriminant Δ part should be non-zero: 4a³ + 27b² != 0.\n // Guarantees curve is genus-1, smooth (non-singular).\n const _4a3 = Fp.mul(Fp.pow(CURVE.a, _3n), _4n);\n const _27b2 = Fp.mul(Fp.sqr(CURVE.b), BigInt(27));\n if (Fp.is0(Fp.add(_4a3, _27b2))) throw new Error('bad curve params: a or b');\n /** Asserts coordinate is valid: 0 <= n < Fp.ORDER. */\n function acoord(title, n, banZero = false) {\n if (!Fp.isValid(n) || banZero && Fp.is0(n)) throw new Error(`bad point coordinate ${title}`);\n return n;\n }\n function aprjpoint(other) {\n if (!(other instanceof Point)) throw new Error('ProjectivePoint expected');\n }\n function splitEndoScalarN(k) {\n if (!endo || !endo.basises) throw new Error('no endo');\n return _splitEndoScalar(k, endo.basises, Fn.ORDER);\n }\n // Memoized toAffine / validity check. They are heavy. Points are immutable.\n // Converts Projective point to affine (x, y) coordinates.\n // Can accept precomputed Z^-1 - for example, from invertBatch.\n // (X, Y, Z) ∋ (x=X/Z, y=Y/Z)\n const toAffineMemo = (0, utils_ts_1.memoized)((p, iz) => {\n const {\n X,\n Y,\n Z\n } = p;\n // Fast-path for normalized points\n if (Fp.eql(Z, Fp.ONE)) return {\n x: X,\n y: Y\n };\n const is0 = p.is0();\n // If invZ was 0, we return zero point. However we still want to execute\n // all operations, so we replace invZ with a random number, 1.\n if (iz == null) iz = is0 ? Fp.ONE : Fp.inv(Z);\n const x = Fp.mul(X, iz);\n const y = Fp.mul(Y, iz);\n const zz = Fp.mul(Z, iz);\n if (is0) return {\n x: Fp.ZERO,\n y: Fp.ZERO\n };\n if (!Fp.eql(zz, Fp.ONE)) throw new Error('invZ was invalid');\n return {\n x,\n y\n };\n });\n // NOTE: on exception this will crash 'cached' and no value will be set.\n // Otherwise true will be return\n const assertValidMemo = (0, utils_ts_1.memoized)(p => {\n if (p.is0()) {\n // (0, 1, 0) aka ZERO is invalid in most contexts.\n // In BLS, ZERO can be serialized, so we allow it.\n // (0, 0, 0) is invalid representation of ZERO.\n if (extraOpts.allowInfinityPoint && !Fp.is0(p.Y)) return;\n throw new Error('bad point: ZERO');\n }\n // Some 3rd-party test vectors require different wording between here & `fromCompressedHex`\n const {\n x,\n y\n } = p.toAffine();\n if (!Fp.isValid(x) || !Fp.isValid(y)) throw new Error('bad point: x or y not field elements');\n if (!isValidXY(x, y)) throw new Error('bad point: equation left != right');\n if (!p.isTorsionFree()) throw new Error('bad point: not in prime-order subgroup');\n return true;\n });\n function finishEndo(endoBeta, k1p, k2p, k1neg, k2neg) {\n k2p = new Point(Fp.mul(k2p.X, endoBeta), k2p.Y, k2p.Z);\n k1p = (0, curve_ts_1.negateCt)(k1neg, k1p);\n k2p = (0, curve_ts_1.negateCt)(k2neg, k2p);\n return k1p.add(k2p);\n }\n /**\n * Projective Point works in 3d / projective (homogeneous) coordinates:(X, Y, Z) ∋ (x=X/Z, y=Y/Z).\n * Default Point works in 2d / affine coordinates: (x, y).\n * We're doing calculations in projective, because its operations don't require costly inversion.\n */\n class Point {\n /** Does NOT validate if the point is valid. Use `.assertValidity()`. */\n constructor(X, Y, Z) {\n this.X = acoord('x', X);\n this.Y = acoord('y', Y, true);\n this.Z = acoord('z', Z);\n Object.freeze(this);\n }\n static CURVE() {\n return CURVE;\n }\n /** Does NOT validate if the point is valid. Use `.assertValidity()`. */\n static fromAffine(p) {\n const {\n x,\n y\n } = p || {};\n if (!p || !Fp.isValid(x) || !Fp.isValid(y)) throw new Error('invalid affine point');\n if (p instanceof Point) throw new Error('projective point not allowed');\n // (0, 0) would've produced (0, 0, 1) - instead, we need (0, 1, 0)\n if (Fp.is0(x) && Fp.is0(y)) return Point.ZERO;\n return new Point(x, y, Fp.ONE);\n }\n static fromBytes(bytes) {\n const P = Point.fromAffine(decodePoint((0, utils_ts_1._abytes2)(bytes, undefined, 'point')));\n P.assertValidity();\n return P;\n }\n static fromHex(hex) {\n return Point.fromBytes((0, utils_ts_1.ensureBytes)('pointHex', hex));\n }\n get x() {\n return this.toAffine().x;\n }\n get y() {\n return this.toAffine().y;\n }\n /**\n *\n * @param windowSize\n * @param isLazy true will defer table computation until the first multiplication\n * @returns\n */\n precompute(windowSize = 8, isLazy = true) {\n wnaf.createCache(this, windowSize);\n if (!isLazy) this.multiply(_3n); // random number\n return this;\n }\n // TODO: return `this`\n /** A point on curve is valid if it conforms to equation. */\n assertValidity() {\n assertValidMemo(this);\n }\n hasEvenY() {\n const {\n y\n } = this.toAffine();\n if (!Fp.isOdd) throw new Error(\"Field doesn't support isOdd\");\n return !Fp.isOdd(y);\n }\n /** Compare one point to another. */\n equals(other) {\n aprjpoint(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 U1 = Fp.eql(Fp.mul(X1, Z2), Fp.mul(X2, Z1));\n const U2 = Fp.eql(Fp.mul(Y1, Z2), Fp.mul(Y2, Z1));\n return U1 && U2;\n }\n /** Flips point to one corresponding to (x, -y) in Affine coordinates. */\n negate() {\n return new Point(this.X, Fp.neg(this.Y), this.Z);\n }\n // Renes-Costello-Batina exception-free doubling formula.\n // There is 30% faster Jacobian formula, but it is not complete.\n // https://eprint.iacr.org/2015/1060, algorithm 3\n // Cost: 8M + 3S + 3*a + 2*b3 + 15add.\n double() {\n const {\n a,\n b\n } = CURVE;\n const b3 = Fp.mul(b, _3n);\n const {\n X: X1,\n Y: Y1,\n Z: Z1\n } = this;\n let X3 = Fp.ZERO,\n Y3 = Fp.ZERO,\n Z3 = Fp.ZERO; // prettier-ignore\n let t0 = Fp.mul(X1, X1); // step 1\n let t1 = Fp.mul(Y1, Y1);\n let t2 = Fp.mul(Z1, Z1);\n let t3 = Fp.mul(X1, Y1);\n t3 = Fp.add(t3, t3); // step 5\n Z3 = Fp.mul(X1, Z1);\n Z3 = Fp.add(Z3, Z3);\n X3 = Fp.mul(a, Z3);\n Y3 = Fp.mul(b3, t2);\n Y3 = Fp.add(X3, Y3); // step 10\n X3 = Fp.sub(t1, Y3);\n Y3 = Fp.add(t1, Y3);\n Y3 = Fp.mul(X3, Y3);\n X3 = Fp.mul(t3, X3);\n Z3 = Fp.mul(b3, Z3); // step 15\n t2 = Fp.mul(a, t2);\n t3 = Fp.sub(t0, t2);\n t3 = Fp.mul(a, t3);\n t3 = Fp.add(t3, Z3);\n Z3 = Fp.add(t0, t0); // step 20\n t0 = Fp.add(Z3, t0);\n t0 = Fp.add(t0, t2);\n t0 = Fp.mul(t0, t3);\n Y3 = Fp.add(Y3, t0);\n t2 = Fp.mul(Y1, Z1); // step 25\n t2 = Fp.add(t2, t2);\n t0 = Fp.mul(t2, t3);\n X3 = Fp.sub(X3, t0);\n Z3 = Fp.mul(t2, t1);\n Z3 = Fp.add(Z3, Z3); // step 30\n Z3 = Fp.add(Z3, Z3);\n return new Point(X3, Y3, Z3);\n }\n // Renes-Costello-Batina exception-free addition formula.\n // There is 30% faster Jacobian formula, but it is not complete.\n // https://eprint.iacr.org/2015/1060, algorithm 1\n // Cost: 12M + 0S + 3*a + 3*b3 + 23add.\n add(other) {\n aprjpoint(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 let X3 = Fp.ZERO,\n Y3 = Fp.ZERO,\n Z3 = Fp.ZERO; // prettier-ignore\n const a = CURVE.a;\n const b3 = Fp.mul(CURVE.b, _3n);\n let t0 = Fp.mul(X1, X2); // step 1\n let t1 = Fp.mul(Y1, Y2);\n let t2 = Fp.mul(Z1, Z2);\n let t3 = Fp.add(X1, Y1);\n let t4 = Fp.add(X2, Y2); // step 5\n t3 = Fp.mul(t3, t4);\n t4 = Fp.add(t0, t1);\n t3 = Fp.sub(t3, t4);\n t4 = Fp.add(X1, Z1);\n let t5 = Fp.add(X2, Z2); // step 10\n t4 = Fp.mul(t4, t5);\n t5 = Fp.add(t0, t2);\n t4 = Fp.sub(t4, t5);\n t5 = Fp.add(Y1, Z1);\n X3 = Fp.add(Y2, Z2); // step 15\n t5 = Fp.mul(t5, X3);\n X3 = Fp.add(t1, t2);\n t5 = Fp.sub(t5, X3);\n Z3 = Fp.mul(a, t4);\n X3 = Fp.mul(b3, t2); // step 20\n Z3 = Fp.add(X3, Z3);\n X3 = Fp.sub(t1, Z3);\n Z3 = Fp.add(t1, Z3);\n Y3 = Fp.mul(X3, Z3);\n t1 = Fp.add(t0, t0); // step 25\n t1 = Fp.add(t1, t0);\n t2 = Fp.mul(a, t2);\n t4 = Fp.mul(b3, t4);\n t1 = Fp.add(t1, t2);\n t2 = Fp.sub(t0, t2); // step 30\n t2 = Fp.mul(a, t2);\n t4 = Fp.add(t4, t2);\n t0 = Fp.mul(t1, t4);\n Y3 = Fp.add(Y3, t0);\n t0 = Fp.mul(t5, t4); // step 35\n X3 = Fp.mul(t3, X3);\n X3 = Fp.sub(X3, t0);\n t0 = Fp.mul(t3, t1);\n Z3 = Fp.mul(t5, Z3);\n Z3 = Fp.add(Z3, t0); // step 40\n return new Point(X3, Y3, Z3);\n }\n subtract(other) {\n return this.add(other.negate());\n }\n is0() {\n return this.equals(Point.ZERO);\n }\n /**\n * Constant time multiplication.\n * Uses wNAF method. Windowed method may be 10% faster,\n * but takes 2x longer to generate and consumes 2x memory.\n * Uses precomputes when available.\n * Uses endomorphism for Koblitz curves.\n * @param scalar by which the point would be multiplied\n * @returns New point\n */\n multiply(scalar) {\n const {\n endo\n } = extraOpts;\n if (!Fn.isValidNot0(scalar)) throw new Error('invalid scalar: out of range'); // 0 is invalid\n let point, fake; // Fake point is used to const-time mult\n const mul = n => wnaf.cached(this, n, p => (0, curve_ts_1.normalizeZ)(Point, p));\n /** See docs for {@link EndomorphismOpts} */\n if (endo) {\n const {\n k1neg,\n k1,\n k2neg,\n k2\n } = splitEndoScalarN(scalar);\n const {\n p: k1p,\n f: k1f\n } = mul(k1);\n const {\n p: k2p,\n f: k2f\n } = mul(k2);\n fake = k1f.add(k2f);\n point = finishEndo(endo.beta, k1p, k2p, k1neg, k2neg);\n } else {\n const {\n p,\n f\n } = mul(scalar);\n point = p;\n fake = f;\n }\n // Normalize `z` for both points, but return only real one\n return (0, curve_ts_1.normalizeZ)(Point, [point, fake])[0];\n }\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 secret key e.g. sig verification, which works over *public* keys.\n */\n multiplyUnsafe(sc) {\n const {\n endo\n } = extraOpts;\n const p = this;\n if (!Fn.isValid(sc)) throw new Error('invalid scalar: out of range'); // 0 is valid\n if (sc === _0n || p.is0()) return Point.ZERO;\n if (sc === _1n) return p; // fast-path\n if (wnaf.hasCache(this)) return this.multiply(sc);\n if (endo) {\n const {\n k1neg,\n k1,\n k2neg,\n k2\n } = splitEndoScalarN(sc);\n const {\n p1,\n p2\n } = (0, curve_ts_1.mulEndoUnsafe)(Point, p, k1, k2); // 30% faster vs wnaf.unsafe\n return finishEndo(endo.beta, p1, p2, k1neg, k2neg);\n } else {\n return wnaf.unsafe(p, sc);\n }\n }\n multiplyAndAddUnsafe(Q, a, b) {\n const sum = this.multiplyUnsafe(a).add(Q.multiplyUnsafe(b));\n return sum.is0() ? undefined : sum;\n }\n /**\n * Converts Projective point to affine (x, y) coordinates.\n * @param invertedZ Z^-1 (inverted zero) - optional, precomputation is useful for invertBatch\n */\n toAffine(invertedZ) {\n return toAffineMemo(this, invertedZ);\n }\n /**\n * Checks whether Point is free of torsion elements (is in prime subgroup).\n * Always torsion-free for cofactor=1 curves.\n */\n isTorsionFree() {\n const {\n isTorsionFree\n } = extraOpts;\n if (cofactor === _1n) return true;\n if (isTorsionFree) return isTorsionFree(Point, this);\n return wnaf.unsafe(this, CURVE_ORDER).is0();\n }\n clearCofactor() {\n const {\n clearCofactor\n } = extraOpts;\n if (cofactor === _1n) return this; // Fast-path\n if (clearCofactor) return clearCofactor(Point, this);\n return this.multiplyUnsafe(cofactor);\n }\n isSmallOrder() {\n // can we use this.clearCofactor()?\n return this.multiplyUnsafe(cofactor).is0();\n }\n toBytes(isCompressed = true) {\n (0, utils_ts_1._abool2)(isCompressed, 'isCompressed');\n this.assertValidity();\n return encodePoint(Point, this, isCompressed);\n }\n toHex(isCompressed = true) {\n return (0, utils_ts_1.bytesToHex)(this.toBytes(isCompressed));\n }\n toString() {\n return `<Point ${this.is0() ? 'ZERO' : this.toHex()}>`;\n }\n // TODO: remove\n get px() {\n return this.X;\n }\n get py() {\n return this.X;\n }\n get pz() {\n return this.Z;\n }\n toRawBytes(isCompressed = true) {\n return this.toBytes(isCompressed);\n }\n _setWindowSize(windowSize) {\n this.precompute(windowSize);\n }\n static normalizeZ(points) {\n return (0, curve_ts_1.normalizeZ)(Point, points);\n }\n static msm(points, scalars) {\n return (0, curve_ts_1.pippenger)(Point, Fn, points, scalars);\n }\n static fromPrivateKey(privateKey) {\n return Point.BASE.multiply(_normFnElement(Fn, privateKey));\n }\n }\n // base / generator point\n Point.BASE = new Point(CURVE.Gx, CURVE.Gy, Fp.ONE);\n // zero / infinity / identity point\n Point.ZERO = new Point(Fp.ZERO, Fp.ONE, Fp.ZERO); // 0, 1, 0\n // math field\n Point.Fp = Fp;\n // scalar field\n Point.Fn = Fn;\n const bits = Fn.BITS;\n const wnaf = new curve_ts_1.wNAF(Point, extraOpts.endo ? Math.ceil(bits / 2) : bits);\n Point.BASE.precompute(8); // Enable precomputes. Slows down first publicKey computation by 20ms.\n return Point;\n }\n // Points start with byte 0x02 when y is even; otherwise 0x03\n function pprefix(hasEvenY) {\n return Uint8Array.of(hasEvenY ? 0x02 : 0x03);\n }\n /**\n * Implementation of the Shallue and van de Woestijne method for any weierstrass curve.\n * TODO: check if there is a way to merge this with uvRatio in Edwards; move to modular.\n * b = True and y = sqrt(u / v) if (u / v) is square in F, and\n * b = False and y = sqrt(Z * (u / v)) otherwise.\n * @param Fp\n * @param Z\n * @returns\n */\n function SWUFpSqrtRatio(Fp, Z) {\n // Generic implementation\n const q = Fp.ORDER;\n let l = _0n;\n for (let o = q - _1n; o % _2n === _0n; o /= _2n) l += _1n;\n const c1 = l; // 1. c1, the largest integer such that 2^c1 divides q - 1.\n // We need 2n ** c1 and 2n ** (c1-1). We can't use **; but we can use <<.\n // 2n ** c1 == 2n << (c1-1)\n const _2n_pow_c1_1 = _2n << c1 - _1n - _1n;\n const _2n_pow_c1 = _2n_pow_c1_1 * _2n;\n const c2 = (q - _1n) / _2n_pow_c1; // 2. c2 = (q - 1) / (2^c1) # Integer arithmetic\n const c3 = (c2 - _1n) / _2n; // 3. c3 = (c2 - 1) / 2 # Integer arithmetic\n const c4 = _2n_pow_c1 - _1n; // 4. c4 = 2^c1 - 1 # Integer arithmetic\n const c5 = _2n_pow_c1_1; // 5. c5 = 2^(c1 - 1) # Integer arithmetic\n const c6 = Fp.pow(Z, c2); // 6. c6 = Z^c2\n const c7 = Fp.pow(Z, (c2 + _1n) / _2n); // 7. c7 = Z^((c2 + 1) / 2)\n let sqrtRatio = (u, v) => {\n let tv1 = c6; // 1. tv1 = c6\n let tv2 = Fp.pow(v, c4); // 2. tv2 = v^c4\n let tv3 = Fp.sqr(tv2); // 3. tv3 = tv2^2\n tv3 = Fp.mul(tv3, v); // 4. tv3 = tv3 * v\n let tv5 = Fp.mul(u, tv3); // 5. tv5 = u * tv3\n tv5 = Fp.pow(tv5, c3); // 6. tv5 = tv5^c3\n tv5 = Fp.mul(tv5, tv2); // 7. tv5 = tv5 * tv2\n tv2 = Fp.mul(tv5, v); // 8. tv2 = tv5 * v\n tv3 = Fp.mul(tv5, u); // 9. tv3 = tv5 * u\n let tv4 = Fp.mul(tv3, tv2); // 10. tv4 = tv3 * tv2\n tv5 = Fp.pow(tv4, c5); // 11. tv5 = tv4^c5\n let isQR = Fp.eql(tv5, Fp.ONE); // 12. isQR = tv5 == 1\n tv2 = Fp.mul(tv3, c7); // 13. tv2 = tv3 * c7\n tv5 = Fp.mul(tv4, tv1); // 14. tv5 = tv4 * tv1\n tv3 = Fp.cmov(tv2, tv3, isQR); // 15. tv3 = CMOV(tv2, tv3, isQR)\n tv4 = Fp.cmov(tv5, tv4, isQR); // 16. tv4 = CMOV(tv5, tv4, isQR)\n // 17. for i in (c1, c1 - 1, ..., 2):\n for (let i = c1; i > _1n; i--) {\n let tv5 = i - _2n; // 18. tv5 = i - 2\n tv5 = _2n << tv5 - _1n; // 19. tv5 = 2^tv5\n let tvv5 = Fp.pow(tv4, tv5); // 20. tv5 = tv4^tv5\n const e1 = Fp.eql(tvv5, Fp.ONE); // 21. e1 = tv5 == 1\n tv2 = Fp.mul(tv3, tv1); // 22. tv2 = tv3 * tv1\n tv1 = Fp.mul(tv1, tv1); // 23. tv1 = tv1 * tv1\n tvv5 = Fp.mul(tv4, tv1); // 24. tv5 = tv4 * tv1\n tv3 = Fp.cmov(tv2, tv3, e1); // 25. tv3 = CMOV(tv2, tv3, e1)\n tv4 = Fp.cmov(tvv5, tv4, e1); // 26. tv4 = CMOV(tv5, tv4, e1)\n }\n return {\n isValid: isQR,\n value: tv3\n };\n };\n if (Fp.ORDER % _4n === _3n) {\n // sqrt_ratio_3mod4(u, v)\n const c1 = (Fp.ORDER - _3n) / _4n; // 1. c1 = (q - 3) / 4 # Integer arithmetic\n const c2 = Fp.sqrt(Fp.neg(Z)); // 2. c2 = sqrt(-Z)\n sqrtRatio = (u, v) => {\n let tv1 = Fp.sqr(v); // 1. tv1 = v^2\n const tv2 = Fp.mul(u, v); // 2. tv2 = u * v\n tv1 = Fp.mul(tv1, tv2); // 3. tv1 = tv1 * tv2\n let y1 = Fp.pow(tv1, c1); // 4. y1 = tv1^c1\n y1 = Fp.mul(y1, tv2); // 5. y1 = y1 * tv2\n const y2 = Fp.mul(y1, c2); // 6. y2 = y1 * c2\n const tv3 = Fp.mul(Fp.sqr(y1), v); // 7. tv3 = y1^2; 8. tv3 = tv3 * v\n const isQR = Fp.eql(tv3, u); // 9. isQR = tv3 == u\n let y = Fp.cmov(y2, y1, isQR); // 10. y = CMOV(y2, y1, isQR)\n return {\n isValid: isQR,\n value: y\n }; // 11. return (isQR, y) isQR ? y : y*c2\n };\n }\n // No curves uses that\n // if (Fp.ORDER % _8n === _5n) // sqrt_ratio_5mod8\n return sqrtRatio;\n }\n /**\n * Simplified Shallue-van de Woestijne-Ulas Method\n * https://www.rfc-editor.org/rfc/rfc9380#section-6.6.2\n */\n function mapToCurveSimpleSWU(Fp, opts) {\n (0, modular_ts_1.validateField)(Fp);\n const {\n A,\n B,\n Z\n } = opts;\n if (!Fp.isValid(A) || !Fp.isValid(B) || !Fp.isValid(Z)) throw new Error('mapToCurveSimpleSWU: invalid opts');\n const sqrtRatio = SWUFpSqrtRatio(Fp, Z);\n if (!Fp.isOdd) throw new Error('Field does not have .isOdd()');\n // Input: u, an element of F.\n // Output: (x, y), a point on E.\n return u => {\n // prettier-ignore\n let tv1, tv2, tv3, tv4, tv5, tv6, x, y;\n tv1 = Fp.sqr(u); // 1. tv1 = u^2\n tv1 = Fp.mul(tv1, Z); // 2. tv1 = Z * tv1\n tv2 = Fp.sqr(tv1); // 3. tv2 = tv1^2\n tv2 = Fp.add(tv2, tv1); // 4. tv2 = tv2 + tv1\n tv3 = Fp.add(tv2, Fp.ONE); // 5. tv3 = tv2 + 1\n tv3 = Fp.mul(tv3, B); // 6. tv3 = B * tv3\n tv4 = Fp.cmov(Z, Fp.neg(tv2), !Fp.eql(tv2, Fp.ZERO)); // 7. tv4 = CMOV(Z, -tv2, tv2 != 0)\n tv4 = Fp.mul(tv4, A); // 8. tv4 = A * tv4\n tv2 = Fp.sqr(tv3); // 9. tv2 = tv3^2\n tv6 = Fp.sqr(tv4); // 10. tv6 = tv4^2\n tv5 = Fp.mul(tv6, A); // 11. tv5 = A * tv6\n tv2 = Fp.add(tv2, tv5); // 12. tv2 = tv2 + tv5\n tv2 = Fp.mul(tv2, tv3); // 13. tv2 = tv2 * tv3\n tv6 = Fp.mul(tv6, tv4); // 14. tv6 = tv6 * tv4\n tv5 = Fp.mul(tv6, B); // 15. tv5 = B * tv6\n tv2 = Fp.add(tv2, tv5); // 16. tv2 = tv2 + tv5\n x = Fp.mul(tv1, tv3); // 17. x = tv1 * tv3\n const {\n isValid,\n value\n } = sqrtRatio(tv2, tv6); // 18. (is_gx1_square, y1) = sqrt_ratio(tv2, tv6)\n y = Fp.mul(tv1, u); // 19. y = tv1 * u -> Z * u^3 * y1\n y = Fp.mul(y, value); // 20. y = y * y1\n x = Fp.cmov(x, tv3, isValid); // 21. x = CMOV(x, tv3, is_gx1_square)\n y = Fp.cmov(y, value, isValid); // 22. y = CMOV(y, y1, is_gx1_square)\n const e1 = Fp.isOdd(u) === Fp.isOdd(y); // 23. e1 = sgn0(u) == sgn0(y)\n y = Fp.cmov(Fp.neg(y), y, e1); // 24. y = CMOV(-y, y, e1)\n const tv4_inv = (0, modular_ts_1.FpInvertBatch)(Fp, [tv4], true)[0];\n x = Fp.mul(x, tv4_inv); // 25. x = x / tv4\n return {\n x,\n y\n };\n };\n }\n function getWLengths(Fp, Fn) {\n return {\n secretKey: Fn.BYTES,\n publicKey: 1 + Fp.BYTES,\n publicKeyUncompressed: 1 + 2 * Fp.BYTES,\n publicKeyHasPrefix: true,\n signature: 2 * Fn.BYTES\n };\n }\n /**\n * Sometimes users only need getPublicKey, getSharedSecret, and secret key handling.\n * This helper ensures no signature functionality is present. Less code, smaller bundle size.\n */\n function ecdh(Point, ecdhOpts = {}) {\n const {\n Fn\n } = Point;\n const randomBytes_ = ecdhOpts.randomBytes || utils_ts_1.randomBytes;\n const lengths = Object.assign(getWLengths(Point.Fp, Fn), {\n seed: (0, modular_ts_1.getMinHashLength)(Fn.ORDER)\n });\n function isValidSecretKey(secretKey) {\n try {\n return !!_normFnElement(Fn, secretKey);\n } catch (error) {\n return false;\n }\n }\n function isValidPublicKey(publicKey, isCompressed) {\n const {\n publicKey: comp,\n publicKeyUncompressed\n } = lengths;\n try {\n const l = publicKey.length;\n if (isCompressed === true && l !== comp) return false;\n if (isCompressed === false && l !== publicKeyUncompressed) return false;\n return !!Point.fromBytes(publicKey);\n } catch (error) {\n return false;\n }\n }\n /**\n * Produces cryptographically secure secret key from random of size\n * (groupLen + ceil(groupLen / 2)) with modulo bias being negligible.\n */\n function randomSecretKey(seed = randomBytes_(lengths.seed)) {\n return (0, modular_ts_1.mapHashToField)((0, utils_ts_1._abytes2)(seed, lengths.seed, 'seed'), Fn.ORDER);\n }\n /**\n * Computes public key for a secret key. Checks for validity of the secret key.\n * @param isCompressed whether to return compact (default), or full key\n * @returns Public key, full when isCompressed=false; short when isCompressed=true\n */\n function getPublicKey(secretKey, isCompressed = true) {\n return Point.BASE.multiply(_normFnElement(Fn, secretKey)).toBytes(isCompressed);\n }\n function keygen(seed) {\n const secretKey = randomSecretKey(seed);\n return {\n secretKey,\n publicKey: getPublicKey(secretKey)\n };\n }\n /**\n * Quick and dirty check for item being public key. Does not validate hex, or being on-curve.\n */\n function isProbPub(item) {\n if (typeof item === 'bigint') return false;\n if (item instanceof Point) return true;\n const {\n secretKey,\n publicKey,\n publicKeyUncompressed\n } = lengths;\n if (Fn.allowedLengths || secretKey === publicKey) return undefined;\n const l = (0, utils_ts_1.ensureBytes)('key', item).length;\n return l === publicKey || l === publicKeyUncompressed;\n }\n /**\n * ECDH (Elliptic Curve Diffie Hellman).\n * Computes shared public key from secret key A and public key B.\n * Checks: 1) secret key validity 2) shared key is on-curve.\n * Does NOT hash the result.\n * @param isCompressed whether to return compact (default), or full key\n * @returns shared public key\n */\n function getSharedSecret(secretKeyA, publicKeyB, isCompressed = true) {\n if (isProbPub(secretKeyA) === true) throw new Error('first arg must be private key');\n if (isProbPub(publicKeyB) === false) throw new Error('second arg must be public key');\n const s = _normFnElement(Fn, secretKeyA);\n const b = Point.fromHex(publicKeyB); // checks for being on-curve\n return b.multiply(s).toBytes(isCompressed);\n }\n const utils = {\n isValidSecretKey,\n isValidPublicKey,\n randomSecretKey,\n // TODO: remove\n isValidPrivateKey: isValidSecretKey,\n randomPrivateKey: randomSecretKey,\n normPrivateKeyToScalar: key => _normFnElement(Fn, key),\n precompute(windowSize = 8, point = Point.BASE) {\n return point.precompute(windowSize, false);\n }\n };\n return Object.freeze({\n getPublicKey,\n getSharedSecret,\n keygen,\n Point,\n utils,\n lengths\n });\n }\n /**\n * Creates ECDSA signing interface for given elliptic curve `Point` and `hash` function.\n * We need `hash` for 2 features:\n * 1. Message prehash-ing. NOT used if `sign` / `verify` are called with `prehash: false`\n * 2. k generation in `sign`, using HMAC-drbg(hash)\n *\n * ECDSAOpts are only rarely needed.\n *\n * @example\n * ```js\n * const p256_Point = weierstrass(...);\n * const p256_sha256 = ecdsa(p256_Point, sha256);\n * const p256_sha224 = ecdsa(p256_Point, sha224);\n * const p256_sha224_r = ecdsa(p256_Point, sha224, { randomBytes: (length) => { ... } });\n * ```\n */\n function ecdsa(Point, hash, ecdsaOpts = {}) {\n (0, utils_1.ahash)(hash);\n (0, utils_ts_1._validateObject)(ecdsaOpts, {}, {\n hmac: 'function',\n lowS: 'boolean',\n randomBytes: 'function',\n bits2int: 'function',\n bits2int_modN: 'function'\n });\n const randomBytes = ecdsaOpts.randomBytes || utils_ts_1.randomBytes;\n const hmac = ecdsaOpts.hmac || ((key, ...msgs) => (0, hmac_js_1.hmac)(hash, key, (0, utils_ts_1.concatBytes)(...msgs)));\n const {\n Fp,\n Fn\n } = Point;\n const {\n ORDER: CURVE_ORDER,\n BITS: fnBits\n } = Fn;\n const {\n keygen,\n getPublicKey,\n getSharedSecret,\n utils,\n lengths\n } = ecdh(Point, ecdsaOpts);\n const defaultSigOpts = {\n prehash: false,\n lowS: typeof ecdsaOpts.lowS === 'boolean' ? ecdsaOpts.lowS : false,\n format: undefined,\n //'compact' as ECDSASigFormat,\n extraEntropy: false\n };\n const defaultSigOpts_format = 'compact';\n function isBiggerThanHalfOrder(number) {\n const HALF = CURVE_ORDER >> _1n;\n return number > HALF;\n }\n function validateRS(title, num) {\n if (!Fn.isValidNot0(num)) throw new Error(`invalid signature ${title}: out of range 1..Point.Fn.ORDER`);\n return num;\n }\n function validateSigLength(bytes, format) {\n validateSigFormat(format);\n const size = lengths.signature;\n const sizer = format === 'compact' ? size : format === 'recovered' ? size + 1 : undefined;\n return (0, utils_ts_1._abytes2)(bytes, sizer, `${format} signature`);\n }\n /**\n * ECDSA signature with its (r, s) properties. Supports compact, recovered & DER representations.\n */\n class Signature {\n constructor(r, s, recovery) {\n this.r = validateRS('r', r); // r in [1..N-1];\n this.s = validateRS('s', s); // s in [1..N-1];\n if (recovery != null) this.recovery = recovery;\n Object.freeze(this);\n }\n static fromBytes(bytes, format = defaultSigOpts_format) {\n validateSigLength(bytes, format);\n let recid;\n if (format === 'der') {\n const {\n r,\n s\n } = exports.DER.toSig((0, utils_ts_1._abytes2)(bytes));\n return new Signature(r, s);\n }\n if (format === 'recovered') {\n recid = bytes[0];\n format = 'compact';\n bytes = bytes.subarray(1);\n }\n const L = Fn.BYTES;\n const r = bytes.subarray(0, L);\n const s = bytes.subarray(L, L * 2);\n return new Signature(Fn.fromBytes(r), Fn.fromBytes(s), recid);\n }\n static fromHex(hex, format) {\n return this.fromBytes((0, utils_ts_1.hexToBytes)(hex), format);\n }\n addRecoveryBit(recovery) {\n return new Signature(this.r, this.s, recovery);\n }\n recoverPublicKey(messageHash) {\n const FIELD_ORDER = Fp.ORDER;\n const {\n r,\n s,\n recovery: rec\n } = this;\n if (rec == null || ![0, 1, 2, 3].includes(rec)) throw new Error('recovery id invalid');\n // ECDSA recovery is hard for cofactor > 1 curves.\n // In sign, `r = q.x mod n`, and here we recover q.x from r.\n // While recovering q.x >= n, we need to add r+n for cofactor=1 curves.\n // However, for cofactor>1, r+n may not get q.x:\n // r+n*i would need to be done instead where i is unknown.\n // To easily get i, we either need to:\n // a. increase amount of valid recid values (4, 5...); OR\n // b. prohibit non-prime-order signatures (recid > 1).\n const hasCofactor = CURVE_ORDER * _2n < FIELD_ORDER;\n if (hasCofactor && rec > 1) throw new Error('recovery id is ambiguous for h>1 curve');\n const radj = rec === 2 || rec === 3 ? r + CURVE_ORDER : r;\n if (!Fp.isValid(radj)) throw new Error('recovery id 2 or 3 invalid');\n const x = Fp.toBytes(radj);\n const R = Point.fromBytes((0, utils_ts_1.concatBytes)(pprefix((rec & 1) === 0), x));\n const ir = Fn.inv(radj); // r^-1\n const h = bits2int_modN((0, utils_ts_1.ensureBytes)('msgHash', messageHash)); // Truncate hash\n const u1 = Fn.create(-h * ir); // -hr^-1\n const u2 = Fn.create(s * ir); // sr^-1\n // (sr^-1)R-(hr^-1)G = -(hr^-1)G + (sr^-1). unsafe is fine: there is no private data.\n const Q = Point.BASE.multiplyUnsafe(u1).add(R.multiplyUnsafe(u2));\n if (Q.is0()) throw new Error('point at infinify');\n Q.assertValidity();\n return Q;\n }\n // Signatures should be low-s, to prevent malleability.\n hasHighS() {\n return isBiggerThanHalfOrder(this.s);\n }\n toBytes(format = defaultSigOpts_format) {\n validateSigFormat(format);\n if (format === 'der') return (0, utils_ts_1.hexToBytes)(exports.DER.hexFromSig(this));\n const r = Fn.toBytes(this.r);\n const s = Fn.toBytes(this.s);\n if (format === 'recovered') {\n if (this.recovery == null) throw new Error('recovery bit must be present');\n return (0, utils_ts_1.concatBytes)(Uint8Array.of(this.recovery), r, s);\n }\n return (0, utils_ts_1.concatBytes)(r, s);\n }\n toHex(format) {\n return (0, utils_ts_1.bytesToHex)(this.toBytes(format));\n }\n // TODO: remove\n assertValidity() {}\n static fromCompact(hex) {\n return Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', hex), 'compact');\n }\n static fromDER(hex) {\n return Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', hex), 'der');\n }\n normalizeS() {\n return this.hasHighS() ? new Signature(this.r, Fn.neg(this.s), this.recovery) : this;\n }\n toDERRawBytes() {\n return this.toBytes('der');\n }\n toDERHex() {\n return (0, utils_ts_1.bytesToHex)(this.toBytes('der'));\n }\n toCompactRawBytes() {\n return this.toBytes('compact');\n }\n toCompactHex() {\n return (0, utils_ts_1.bytesToHex)(this.toBytes('compact'));\n }\n }\n // RFC6979: ensure ECDSA msg is X bytes and < N. RFC suggests optional truncating via bits2octets.\n // FIPS 186-4 4.6 suggests the leftmost min(nBitLen, outLen) bits, which matches bits2int.\n // bits2int can produce res>N, we can do mod(res, N) since the bitLen is the same.\n // int2octets can't be used; pads small msgs with 0: unacceptatble for trunc as per RFC vectors\n const bits2int = ecdsaOpts.bits2int || function bits2int_def(bytes) {\n // Our custom check \"just in case\", for protection against DoS\n if (bytes.length > 8192) throw new Error('input is too large');\n // For curves with nBitLength % 8 !== 0: bits2octets(bits2octets(m)) !== bits2octets(m)\n // for some cases, since bytes.length * 8 is not actual bitLength.\n const num = (0, utils_ts_1.bytesToNumberBE)(bytes); // check for == u8 done here\n const delta = bytes.length * 8 - fnBits; // truncate to nBitLength leftmost bits\n return delta > 0 ? num >> BigInt(delta) : num;\n };\n const bits2int_modN = ecdsaOpts.bits2int_modN || function bits2int_modN_def(bytes) {\n return Fn.create(bits2int(bytes)); // can't use bytesToNumberBE here\n };\n // Pads output with zero as per spec\n const ORDER_MASK = (0, utils_ts_1.bitMask)(fnBits);\n /** Converts to bytes. Checks if num in `[0..ORDER_MASK-1]` e.g.: `[0..2^256-1]`. */\n function int2octets(num) {\n // IMPORTANT: the check ensures working for case `Fn.BYTES != Fn.BITS * 8`\n (0, utils_ts_1.aInRange)('num < 2^' + fnBits, num, _0n, ORDER_MASK);\n return Fn.toBytes(num);\n }\n function validateMsgAndHash(message, prehash) {\n (0, utils_ts_1._abytes2)(message, undefined, 'message');\n return prehash ? (0, utils_ts_1._abytes2)(hash(message), undefined, 'prehashed message') : message;\n }\n /**\n * Steps A, D of RFC6979 3.2.\n * Creates RFC6979 seed; converts msg/privKey to numbers.\n * Used only in sign, not in verify.\n *\n * Warning: we cannot assume here that message has same amount of bytes as curve order,\n * this will be invalid at least for P521. Also it can be bigger for P224 + SHA256.\n */\n function prepSig(message, privateKey, opts) {\n if (['recovered', 'canonical'].some(k => k in opts)) throw new Error('sign() legacy options not supported');\n const {\n lowS,\n prehash,\n extraEntropy\n } = validateSigOpts(opts, defaultSigOpts);\n message = validateMsgAndHash(message, prehash); // RFC6979 3.2 A: h1 = H(m)\n // We can't later call bits2octets, since nested bits2int is broken for curves\n // with fnBits % 8 !== 0. Because of that, we unwrap it here as int2octets call.\n // const bits2octets = (bits) => int2octets(bits2int_modN(bits))\n const h1int = bits2int_modN(message);\n const d = _normFnElement(Fn, privateKey); // validate secret key, convert to bigint\n const seedArgs = [int2octets(d), int2octets(h1int)];\n // extraEntropy. RFC6979 3.6: additional k' (optional).\n if (extraEntropy != null && extraEntropy !== false) {\n // K = HMAC_K(V || 0x00 || int2octets(x) || bits2octets(h1) || k')\n // gen random bytes OR pass as-is\n const e = extraEntropy === true ? randomBytes(lengths.secretKey) : extraEntropy;\n seedArgs.push((0, utils_ts_1.ensureBytes)('extraEntropy', e)); // check for being bytes\n }\n const seed = (0, utils_ts_1.concatBytes)(...seedArgs); // Step D of RFC6979 3.2\n const m = h1int; // NOTE: no need to call bits2int second time here, it is inside truncateHash!\n // Converts signature params into point w r/s, checks result for validity.\n // To transform k => Signature:\n // q = k⋅G\n // r = q.x mod n\n // s = k^-1(m + rd) mod n\n // Can use scalar blinding b^-1(bm + bdr) where b ∈ [1,q−1] according to\n // https://tches.iacr.org/index.php/TCHES/article/view/7337/6509. We've decided against it:\n // a) dependency on CSPRNG b) 15% slowdown c) doesn't really help since bigints are not CT\n function k2sig(kBytes) {\n // RFC 6979 Section 3.2, step 3: k = bits2int(T)\n // Important: all mod() calls here must be done over N\n const k = bits2int(kBytes); // mod n, not mod p\n if (!Fn.isValidNot0(k)) return; // Valid scalars (including k) must be in 1..N-1\n const ik = Fn.inv(k); // k^-1 mod n\n const q = Point.BASE.multiply(k).toAffine(); // q = k⋅G\n const r = Fn.create(q.x); // r = q.x mod n\n if (r === _0n) return;\n const s = Fn.create(ik * Fn.create(m + r * d)); // Not using blinding here, see comment above\n if (s === _0n) return;\n let recovery = (q.x === r ? 0 : 2) | Number(q.y & _1n); // recovery bit (2 or 3, when q.x > n)\n let normS = s;\n if (lowS && isBiggerThanHalfOrder(s)) {\n normS = Fn.neg(s); // if lowS was passed, ensure s is always\n recovery ^= 1; // // in the bottom half of N\n }\n return new Signature(r, normS, recovery); // use normS, not s\n }\n return {\n seed,\n k2sig\n };\n }\n /**\n * Signs message hash with a secret key.\n *\n * ```\n * sign(m, d) where\n * k = rfc6979_hmac_drbg(m, d)\n * (x, y) = G × k\n * r = x mod n\n * s = (m + dr) / k mod n\n * ```\n */\n function sign(message, secretKey, opts = {}) {\n message = (0, utils_ts_1.ensureBytes)('message', message);\n const {\n seed,\n k2sig\n } = prepSig(message, secretKey, opts); // Steps A, D of RFC6979 3.2.\n const drbg = (0, utils_ts_1.createHmacDrbg)(hash.outputLen, Fn.BYTES, hmac);\n const sig = drbg(seed, k2sig); // Steps B, C, D, E, F, G\n return sig;\n }\n function tryParsingSig(sg) {\n // Try to deduce format\n let sig = undefined;\n const isHex = typeof sg === 'string' || (0, utils_ts_1.isBytes)(sg);\n const isObj = !isHex && sg !== null && typeof sg === 'object' && typeof sg.r === 'bigint' && typeof sg.s === 'bigint';\n if (!isHex && !isObj) throw new Error('invalid signature, expected Uint8Array, hex string or Signature instance');\n if (isObj) {\n sig = new Signature(sg.r, sg.s);\n } else if (isHex) {\n try {\n sig = Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', sg), 'der');\n } catch (derError) {\n if (!(derError instanceof exports.DER.Err)) throw derError;\n }\n if (!sig) {\n try {\n sig = Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', sg), 'compact');\n } catch (error) {\n return false;\n }\n }\n }\n if (!sig) return false;\n return sig;\n }\n /**\n * Verifies a signature against message and public key.\n * Rejects lowS signatures by default: see {@link ECDSAVerifyOpts}.\n * Implements section 4.1.4 from https://www.secg.org/sec1-v2.pdf:\n *\n * ```\n * verify(r, s, h, P) where\n * u1 = hs^-1 mod n\n * u2 = rs^-1 mod n\n * R = u1⋅G + u2⋅P\n * mod(R.x, n) == r\n * ```\n */\n function verify(signature, message, publicKey, opts = {}) {\n const {\n lowS,\n prehash,\n format\n } = validateSigOpts(opts, defaultSigOpts);\n publicKey = (0, utils_ts_1.ensureBytes)('publicKey', publicKey);\n message = validateMsgAndHash((0, utils_ts_1.ensureBytes)('message', message), prehash);\n if ('strict' in opts) throw new Error('options.strict was renamed to lowS');\n const sig = format === undefined ? tryParsingSig(signature) : Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', signature), format);\n if (sig === false) return false;\n try {\n const P = Point.fromBytes(publicKey);\n if (lowS && sig.hasHighS()) return false;\n const {\n r,\n s\n } = sig;\n const h = bits2int_modN(message); // mod n, not mod p\n const is = Fn.inv(s); // s^-1 mod n\n const u1 = Fn.create(h * is); // u1 = hs^-1 mod n\n const u2 = Fn.create(r * is); // u2 = rs^-1 mod n\n const R = Point.BASE.multiplyUnsafe(u1).add(P.multiplyUnsafe(u2)); // u1⋅G + u2⋅P\n if (R.is0()) return false;\n const v = Fn.create(R.x); // v = r.x mod n\n return v === r;\n } catch (e) {\n return false;\n }\n }\n function recoverPublicKey(signature, message, opts = {}) {\n const {\n prehash\n } = validateSigOpts(opts, defaultSigOpts);\n message = validateMsgAndHash(message, prehash);\n return Signature.fromBytes(signature, 'recovered').recoverPublicKey(message).toBytes();\n }\n return Object.freeze({\n keygen,\n getPublicKey,\n getSharedSecret,\n utils,\n lengths,\n Point,\n sign,\n verify,\n recoverPublicKey,\n Signature,\n hash\n });\n }\n /** @deprecated use `weierstrass` in newer releases */\n function weierstrassPoints(c) {\n const {\n CURVE,\n curveOpts\n } = _weierstrass_legacy_opts_to_new(c);\n const Point = weierstrassN(CURVE, curveOpts);\n return _weierstrass_new_output_to_legacy(c, Point);\n }\n function _weierstrass_legacy_opts_to_new(c) {\n const CURVE = {\n a: c.a,\n b: c.b,\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 let allowedLengths = c.allowedPrivateKeyLengths ? Array.from(new Set(c.allowedPrivateKeyLengths.map(l => Math.ceil(l / 2)))) : undefined;\n const Fn = (0, modular_ts_1.Field)(CURVE.n, {\n BITS: c.nBitLength,\n allowedLengths: allowedLengths,\n modFromBytes: c.wrapPrivateKey\n });\n const curveOpts = {\n Fp,\n Fn,\n allowInfinityPoint: c.allowInfinityPoint,\n endo: c.endo,\n isTorsionFree: c.isTorsionFree,\n clearCofactor: c.clearCofactor,\n fromBytes: c.fromBytes,\n toBytes: c.toBytes\n };\n return {\n CURVE,\n curveOpts\n };\n }\n function _ecdsa_legacy_opts_to_new(c) {\n const {\n CURVE,\n curveOpts\n } = _weierstrass_legacy_opts_to_new(c);\n const ecdsaOpts = {\n hmac: c.hmac,\n randomBytes: c.randomBytes,\n lowS: c.lowS,\n bits2int: c.bits2int,\n bits2int_modN: c.bits2int_modN\n };\n return {\n CURVE,\n curveOpts,\n hash: c.hash,\n ecdsaOpts\n };\n }\n function _legacyHelperEquat(Fp, a, b) {\n /**\n * y² = x³ + ax + b: Short weierstrass curve formula. Takes x, returns y².\n * @returns y²\n */\n function weierstrassEquation(x) {\n const x2 = Fp.sqr(x); // x * x\n const x3 = Fp.mul(x2, x); // x² * x\n return Fp.add(Fp.add(x3, Fp.mul(x, a)), b); // x³ + a * x + b\n }\n return weierstrassEquation;\n }\n function _weierstrass_new_output_to_legacy(c, Point) {\n const {\n Fp,\n Fn\n } = Point;\n function isWithinCurveOrder(num) {\n return (0, utils_ts_1.inRange)(num, _1n, Fn.ORDER);\n }\n const weierstrassEquation = _legacyHelperEquat(Fp, c.a, c.b);\n return Object.assign({}, {\n CURVE: c,\n Point: Point,\n ProjectivePoint: Point,\n normPrivateKeyToScalar: key => _normFnElement(Fn, key),\n weierstrassEquation,\n isWithinCurveOrder\n });\n }\n function _ecdsa_new_output_to_legacy(c, _ecdsa) {\n const Point = _ecdsa.Point;\n return Object.assign({}, _ecdsa, {\n ProjectivePoint: Point,\n CURVE: Object.assign({}, c, (0, modular_ts_1.nLength)(Point.Fn.ORDER, Point.Fn.BITS))\n });\n }\n // _ecdsa_legacy\n function weierstrass(c) {\n const {\n CURVE,\n curveOpts,\n hash,\n ecdsaOpts\n } = _ecdsa_legacy_opts_to_new(c);\n const Point = weierstrassN(CURVE, curveOpts);\n const signs = ecdsa(Point, hash, ecdsaOpts);\n return _ecdsa_new_output_to_legacy(c, signs);\n 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"],[1122,35,1007,35,"number"],[1122,41,1007,41],[1122,43,1007,43],[1123,6,1008,8],[1123,12,1008,14,"HALF"],[1123,16,1008,18],[1123,19,1008,21,"CURVE_ORDER"],[1123,30,1008,32],[1123,34,1008,36,"_1n"],[1123,37,1008,39],[1124,6,1009,8],[1124,13,1009,15,"number"],[1124,19,1009,21],[1124,22,1009,24,"HALF"],[1124,26,1009,28],[1125,4,1010,4],[1126,4,1011,4],[1126,13,1011,13,"validateRS"],[1126,23,1011,23,"validateRS"],[1126,24,1011,24,"title"],[1126,29,1011,29],[1126,31,1011,31,"num"],[1126,34,1011,34],[1126,36,1011,36],[1127,6,1012,8],[1127,10,1012,12],[1127,11,1012,13,"Fn"],[1127,13,1012,15],[1127,14,1012,16,"isValidNot0"],[1127,25,1012,27],[1127,26,1012,28,"num"],[1127,29,1012,31],[1127,30,1012,32],[1127,32,1013,12],[1127,38,1013,18],[1127,42,1013,22,"Error"],[1127,47,1013,27],[1127,48,1013,28],[1127,69,1013,49,"title"],[1127,74,1013,54],[1127,108,1013,88],[1127,109,1013,89],[1128,6,1014,8],[1128,13,1014,15,"num"],[1128,16,1014,18],[1129,4,1015,4],[1130,4,1016,4],[1130,13,1016,13,"validateSigLength"],[1130,30,1016,30,"validateSigLength"],[1130,31,1016,31,"bytes"],[1130,36,1016,36],[1130,38,1016,38,"format"],[1130,44,1016,44],[1130,46,1016,46],[1131,6,1017,8,"validateSigFormat"],[1131,23,1017,25],[1131,24,1017,26,"format"],[1131,30,1017,32],[1131,31,1017,33],[1132,6,1018,8],[1132,12,1018,14,"size"],[1132,16,1018,18],[1132,19,1018,21,"lengths"],[1132,26,1018,28],[1132,27,1018,29,"signature"],[1132,36,1018,38],[1133,6,1019,8],[1133,12,1019,14,"sizer"],[1133,17,1019,19],[1133,20,1019,22,"format"],[1133,26,1019,28],[1133,31,1019,33],[1133,40,1019,42],[1133,43,1019,45,"size"],[1133,47,1019,49],[1133,50,1019,52,"format"],[1133,56,1019,58],[1133,61,1019,63],[1133,72,1019,74],[1133,75,1019,77,"size"],[1133,79,1019,81],[1133,82,1019,84],[1133,83,1019,85],[1133,86,1019,88,"undefined"],[1133,95,1019,97],[1134,6,1020,8],[1134,13,1020,15],[1134,14,1020,16],[1134,15,1020,17],[1134,17,1020,19,"utils_ts_1"],[1134,27,1020,29],[1134,28,1020,30,"_abytes2"],[1134,36,1020,38],[1134,38,1020,40,"bytes"],[1134,43,1020,45],[1134,45,1020,47,"sizer"],[1134,50,1020,52],[1134,52,1020,54],[1134,55,1020,57,"format"],[1134,61,1020,63],[1134,73,1020,75],[1134,74,1020,76],[1135,4,1021,4],[1136,4,1022,4],[1137,0,1023,0],[1138,0,1024,0],[1139,4,1025,4],[1139,10,1025,10,"Signature"],[1139,19,1025,19],[1139,20,1025,20],[1140,6,1026,8,"constructor"],[1140,17,1026,19,"constructor"],[1140,18,1026,20,"r"],[1140,19,1026,21],[1140,21,1026,23,"s"],[1140,22,1026,24],[1140,24,1026,26,"recovery"],[1140,32,1026,34],[1140,34,1026,36],[1141,8,1027,12],[1141,12,1027,16],[1141,13,1027,17,"r"],[1141,14,1027,18],[1141,17,1027,21,"validateRS"],[1141,27,1027,31],[1141,28,1027,32],[1141,31,1027,35],[1141,33,1027,37,"r"],[1141,34,1027,38],[1141,35,1027,39],[1141,36,1027,40],[1141,37,1027,41],[1142,8,1028,12],[1142,12,1028,16],[1142,13,1028,17,"s"],[1142,14,1028,18],[1142,17,1028,21,"validateRS"],[1142,27,1028,31],[1142,28,1028,32],[1142,31,1028,35],[1142,33,1028,37,"s"],[1142,34,1028,38],[1142,35,1028,39],[1142,36,1028,40],[1142,37,1028,41],[1143,8,1029,12],[1143,12,1029,16,"recovery"],[1143,20,1029,24],[1143,24,1029,28],[1143,28,1029,32],[1143,30,1030,16],[1143,34,1030,20],[1143,35,1030,21,"recovery"],[1143,43,1030,29],[1143,46,1030,32,"recovery"],[1143,54,1030,40],[1144,8,1031,12,"Object"],[1144,14,1031,18],[1144,15,1031,19,"freeze"],[1144,21,1031,25],[1144,22,1031,26],[1144,26,1031,30],[1144,27,1031,31],[1145,6,1032,8],[1146,6,1033,8],[1146,13,1033,15,"fromBytes"],[1146,22,1033,24,"fromBytes"],[1146,23,1033,25,"bytes"],[1146,28,1033,30],[1146,30,1033,32,"format"],[1146,36,1033,38],[1146,39,1033,41,"defaultSigOpts_format"],[1146,60,1033,62],[1146,62,1033,64],[1147,8,1034,12,"validateSigLength"],[1147,25,1034,29],[1147,26,1034,30,"bytes"],[1147,31,1034,35],[1147,33,1034,37,"format"],[1147,39,1034,43],[1147,40,1034,44],[1148,8,1035,12],[1148,12,1035,16,"recid"],[1148,17,1035,21],[1149,8,1036,12],[1149,12,1036,16,"format"],[1149,18,1036,22],[1149,23,1036,27],[1149,28,1036,32],[1149,30,1036,34],[1150,10,1037,16],[1150,16,1037,22],[1151,12,1037,24,"r"],[1151,13,1037,25],[1152,12,1037,27,"s"],[1153,10,1037,29],[1153,11,1037,30],[1153,14,1037,33,"exports"],[1153,21,1037,40],[1153,22,1037,41,"DER"],[1153,25,1037,44],[1153,26,1037,45,"toSig"],[1153,31,1037,50],[1153,32,1037,51],[1153,33,1037,52],[1153,34,1037,53],[1153,36,1037,55,"utils_ts_1"],[1153,46,1037,65],[1153,47,1037,66,"_abytes2"],[1153,55,1037,74],[1153,57,1037,76,"bytes"],[1153,62,1037,81],[1153,63,1037,82],[1153,64,1037,83],[1154,10,1038,16],[1154,17,1038,23],[1154,21,1038,27,"Signature"],[1154,30,1038,36],[1154,31,1038,37,"r"],[1154,32,1038,38],[1154,34,1038,40,"s"],[1154,35,1038,41],[1154,36,1038,42],[1155,8,1039,12],[1156,8,1040,12],[1156,12,1040,16,"format"],[1156,18,1040,22],[1156,23,1040,27],[1156,34,1040,38],[1156,36,1040,40],[1157,10,1041,16,"recid"],[1157,15,1041,21],[1157,18,1041,24,"bytes"],[1157,23,1041,29],[1157,24,1041,30],[1157,25,1041,31],[1157,26,1041,32],[1158,10,1042,16,"format"],[1158,16,1042,22],[1158,19,1042,25],[1158,28,1042,34],[1159,10,1043,16,"bytes"],[1159,15,1043,21],[1159,18,1043,24,"bytes"],[1159,23,1043,29],[1159,24,1043,30,"subarray"],[1159,32,1043,38],[1159,33,1043,39],[1159,34,1043,40],[1159,35,1043,41],[1160,8,1044,12],[1161,8,1045,12],[1161,14,1045,18,"L"],[1161,15,1045,19],[1161,18,1045,22,"Fn"],[1161,20,1045,24],[1161,21,1045,25,"BYTES"],[1161,26,1045,30],[1162,8,1046,12],[1162,14,1046,18,"r"],[1162,15,1046,19],[1162,18,1046,22,"bytes"],[1162,23,1046,27],[1162,24,1046,28,"subarray"],[1162,32,1046,36],[1162,33,1046,37],[1162,34,1046,38],[1162,36,1046,40,"L"],[1162,37,1046,41],[1162,38,1046,42],[1163,8,1047,12],[1163,14,1047,18,"s"],[1163,15,1047,19],[1163,18,1047,22,"bytes"],[1163,23,1047,27],[1163,24,1047,28,"subarray"],[1163,32,1047,36],[1163,33,1047,37,"L"],[1163,34,1047,38],[1163,36,1047,40,"L"],[1163,37,1047,41],[1163,40,1047,44],[1163,41,1047,45],[1163,42,1047,46],[1164,8,1048,12],[1164,15,1048,19],[1164,19,1048,23,"Signature"],[1164,28,1048,32],[1164,29,1048,33,"Fn"],[1164,31,1048,35],[1164,32,1048,36,"fromBytes"],[1164,41,1048,45],[1164,42,1048,46,"r"],[1164,43,1048,47],[1164,44,1048,48],[1164,46,1048,50,"Fn"],[1164,48,1048,52],[1164,49,1048,53,"fromBytes"],[1164,58,1048,62],[1164,59,1048,63,"s"],[1164,60,1048,64],[1164,61,1048,65],[1164,63,1048,67,"recid"],[1164,68,1048,72],[1164,69,1048,73],[1165,6,1049,8],[1166,6,1050,8],[1166,13,1050,15,"fromHex"],[1166,20,1050,22,"fromHex"],[1166,21,1050,23,"hex"],[1166,24,1050,26],[1166,26,1050,28,"format"],[1166,32,1050,34],[1166,34,1050,36],[1167,8,1051,12],[1167,15,1051,19],[1167,19,1051,23],[1167,20,1051,24,"fromBytes"],[1167,29,1051,33],[1167,30,1051,34],[1167,31,1051,35],[1167,32,1051,36],[1167,34,1051,38,"utils_ts_1"],[1167,44,1051,48],[1167,45,1051,49,"hexToBytes"],[1167,55,1051,59],[1167,57,1051,61,"hex"],[1167,60,1051,64],[1167,61,1051,65],[1167,63,1051,67,"format"],[1167,69,1051,73],[1167,70,1051,74],[1168,6,1052,8],[1169,6,1053,8,"addRecoveryBit"],[1169,20,1053,22,"addRecoveryBit"],[1169,21,1053,23,"recovery"],[1169,29,1053,31],[1169,31,1053,33],[1170,8,1054,12],[1170,15,1054,19],[1170,19,1054,23,"Signature"],[1170,28,1054,32],[1170,29,1054,33],[1170,33,1054,37],[1170,34,1054,38,"r"],[1170,35,1054,39],[1170,37,1054,41],[1170,41,1054,45],[1170,42,1054,46,"s"],[1170,43,1054,47],[1170,45,1054,49,"recovery"],[1170,53,1054,57],[1170,54,1054,58],[1171,6,1055,8],[1172,6,1056,8,"recoverPublicKey"],[1172,22,1056,24,"recoverPublicKey"],[1172,23,1056,25,"messageHash"],[1172,34,1056,36],[1172,36,1056,38],[1173,8,1057,12],[1173,14,1057,18,"FIELD_ORDER"],[1173,25,1057,29],[1173,28,1057,32,"Fp"],[1173,30,1057,34],[1173,31,1057,35,"ORDER"],[1173,36,1057,40],[1174,8,1058,12],[1174,14,1058,18],[1175,10,1058,20,"r"],[1175,11,1058,21],[1176,10,1058,23,"s"],[1176,11,1058,24],[1177,10,1058,26,"recovery"],[1177,18,1058,34],[1177,20,1058,36,"rec"],[1178,8,1058,40],[1178,9,1058,41],[1178,12,1058,44],[1178,16,1058,48],[1179,8,1059,12],[1179,12,1059,16,"rec"],[1179,15,1059,19],[1179,19,1059,23],[1179,23,1059,27],[1179,27,1059,31],[1179,28,1059,32],[1179,29,1059,33],[1179,30,1059,34],[1179,32,1059,36],[1179,33,1059,37],[1179,35,1059,39],[1179,36,1059,40],[1179,38,1059,42],[1179,39,1059,43],[1179,40,1059,44],[1179,41,1059,45,"includes"],[1179,49,1059,53],[1179,50,1059,54,"rec"],[1179,53,1059,57],[1179,54,1059,58],[1179,56,1060,16],[1179,62,1060,22],[1179,66,1060,26,"Error"],[1179,71,1060,31],[1179,72,1060,32],[1179,93,1060,53],[1179,94,1060,54],[1180,8,1061,12],[1181,8,1062,12],[1182,8,1063,12],[1183,8,1064,12],[1184,8,1065,12],[1185,8,1066,12],[1186,8,1067,12],[1187,8,1068,12],[1188,8,1069,12],[1188,14,1069,18,"hasCofactor"],[1188,25,1069,29],[1188,28,1069,32,"CURVE_ORDER"],[1188,39,1069,43],[1188,42,1069,46,"_2n"],[1188,45,1069,49],[1188,48,1069,52,"FIELD_ORDER"],[1188,59,1069,63],[1189,8,1070,12],[1189,12,1070,16,"hasCofactor"],[1189,23,1070,27],[1189,27,1070,31,"rec"],[1189,30,1070,34],[1189,33,1070,37],[1189,34,1070,38],[1189,36,1071,16],[1189,42,1071,22],[1189,46,1071,26,"Error"],[1189,51,1071,31],[1189,52,1071,32],[1189,92,1071,72],[1189,93,1071,73],[1190,8,1072,12],[1190,14,1072,18,"radj"],[1190,18,1072,22],[1190,21,1072,25,"rec"],[1190,24,1072,28],[1190,29,1072,33],[1190,30,1072,34],[1190,34,1072,38,"rec"],[1190,37,1072,41],[1190,42,1072,46],[1190,43,1072,47],[1190,46,1072,50,"r"],[1190,47,1072,51],[1190,50,1072,54,"CURVE_ORDER"],[1190,61,1072,65],[1190,64,1072,68,"r"],[1190,65,1072,69],[1191,8,1073,12],[1191,12,1073,16],[1191,13,1073,17,"Fp"],[1191,15,1073,19],[1191,16,1073,20,"isValid"],[1191,23,1073,27],[1191,24,1073,28,"radj"],[1191,28,1073,32],[1191,29,1073,33],[1191,31,1074,16],[1191,37,1074,22],[1191,41,1074,26,"Error"],[1191,46,1074,31],[1191,47,1074,32],[1191,75,1074,60],[1191,76,1074,61],[1192,8,1075,12],[1192,14,1075,18,"x"],[1192,15,1075,19],[1192,18,1075,22,"Fp"],[1192,20,1075,24],[1192,21,1075,25,"toBytes"],[1192,28,1075,32],[1192,29,1075,33,"radj"],[1192,33,1075,37],[1192,34,1075,38],[1193,8,1076,12],[1193,14,1076,18,"R"],[1193,15,1076,19],[1193,18,1076,22,"Point"],[1193,23,1076,27],[1193,24,1076,28,"fromBytes"],[1193,33,1076,37],[1193,34,1076,38],[1193,35,1076,39],[1193,36,1076,40],[1193,38,1076,42,"utils_ts_1"],[1193,48,1076,52],[1193,49,1076,53,"concatBytes"],[1193,60,1076,64],[1193,62,1076,66,"pprefix"],[1193,69,1076,73],[1193,70,1076,74],[1193,71,1076,75,"rec"],[1193,74,1076,78],[1193,77,1076,81],[1193,78,1076,82],[1193,84,1076,88],[1193,85,1076,89],[1193,86,1076,90],[1193,88,1076,92,"x"],[1193,89,1076,93],[1193,90,1076,94],[1193,91,1076,95],[1194,8,1077,12],[1194,14,1077,18,"ir"],[1194,16,1077,20],[1194,19,1077,23,"Fn"],[1194,21,1077,25],[1194,22,1077,26,"inv"],[1194,25,1077,29],[1194,26,1077,30,"radj"],[1194,30,1077,34],[1194,31,1077,35],[1194,32,1077,36],[1194,33,1077,37],[1195,8,1078,12],[1195,14,1078,18,"h"],[1195,15,1078,19],[1195,18,1078,22,"bits2int_modN"],[1195,31,1078,35],[1195,32,1078,36],[1195,33,1078,37],[1195,34,1078,38],[1195,36,1078,40,"utils_ts_1"],[1195,46,1078,50],[1195,47,1078,51,"ensureBytes"],[1195,58,1078,62],[1195,60,1078,64],[1195,69,1078,73],[1195,71,1078,75,"messageHash"],[1195,82,1078,86],[1195,83,1078,87],[1195,84,1078,88],[1195,85,1078,89],[1195,86,1078,90],[1196,8,1079,12],[1196,14,1079,18,"u1"],[1196,16,1079,20],[1196,19,1079,23,"Fn"],[1196,21,1079,25],[1196,22,1079,26,"create"],[1196,28,1079,32],[1196,29,1079,33],[1196,30,1079,34,"h"],[1196,31,1079,35],[1196,34,1079,38,"ir"],[1196,36,1079,40],[1196,37,1079,41],[1196,38,1079,42],[1196,39,1079,43],[1197,8,1080,12],[1197,14,1080,18,"u2"],[1197,16,1080,20],[1197,19,1080,23,"Fn"],[1197,21,1080,25],[1197,22,1080,26,"create"],[1197,28,1080,32],[1197,29,1080,33,"s"],[1197,30,1080,34],[1197,33,1080,37,"ir"],[1197,35,1080,39],[1197,36,1080,40],[1197,37,1080,41],[1197,38,1080,42],[1198,8,1081,12],[1199,8,1082,12],[1199,14,1082,18,"Q"],[1199,15,1082,19],[1199,18,1082,22,"Point"],[1199,23,1082,27],[1199,24,1082,28,"BASE"],[1199,28,1082,32],[1199,29,1082,33,"multiplyUnsafe"],[1199,43,1082,47],[1199,44,1082,48,"u1"],[1199,46,1082,50],[1199,47,1082,51],[1199,48,1082,52,"add"],[1199,51,1082,55],[1199,52,1082,56,"R"],[1199,53,1082,57],[1199,54,1082,58,"multiplyUnsafe"],[1199,68,1082,72],[1199,69,1082,73,"u2"],[1199,71,1082,75],[1199,72,1082,76],[1199,73,1082,77],[1200,8,1083,12],[1200,12,1083,16,"Q"],[1200,13,1083,17],[1200,14,1083,18,"is0"],[1200,17,1083,21],[1200,18,1083,22],[1200,19,1083,23],[1200,21,1084,16],[1200,27,1084,22],[1200,31,1084,26,"Error"],[1200,36,1084,31],[1200,37,1084,32],[1200,56,1084,51],[1200,57,1084,52],[1201,8,1085,12,"Q"],[1201,9,1085,13],[1201,10,1085,14,"assertValidity"],[1201,24,1085,28],[1201,25,1085,29],[1201,26,1085,30],[1202,8,1086,12],[1202,15,1086,19,"Q"],[1202,16,1086,20],[1203,6,1087,8],[1204,6,1088,8],[1205,6,1089,8,"hasHighS"],[1205,14,1089,16,"hasHighS"],[1205,15,1089,16],[1205,17,1089,19],[1206,8,1090,12],[1206,15,1090,19,"isBiggerThanHalfOrder"],[1206,36,1090,40],[1206,37,1090,41],[1206,41,1090,45],[1206,42,1090,46,"s"],[1206,43,1090,47],[1206,44,1090,48],[1207,6,1091,8],[1208,6,1092,8,"toBytes"],[1208,13,1092,15,"toBytes"],[1208,14,1092,16,"format"],[1208,20,1092,22],[1208,23,1092,25,"defaultSigOpts_format"],[1208,44,1092,46],[1208,46,1092,48],[1209,8,1093,12,"validateSigFormat"],[1209,25,1093,29],[1209,26,1093,30,"format"],[1209,32,1093,36],[1209,33,1093,37],[1210,8,1094,12],[1210,12,1094,16,"format"],[1210,18,1094,22],[1210,23,1094,27],[1210,28,1094,32],[1210,30,1095,16],[1210,37,1095,23],[1210,38,1095,24],[1210,39,1095,25],[1210,41,1095,27,"utils_ts_1"],[1210,51,1095,37],[1210,52,1095,38,"hexToBytes"],[1210,62,1095,48],[1210,64,1095,50,"exports"],[1210,71,1095,57],[1210,72,1095,58,"DER"],[1210,75,1095,61],[1210,76,1095,62,"hexFromSig"],[1210,86,1095,72],[1210,87,1095,73],[1210,91,1095,77],[1210,92,1095,78],[1210,93,1095,79],[1211,8,1096,12],[1211,14,1096,18,"r"],[1211,15,1096,19],[1211,18,1096,22,"Fn"],[1211,20,1096,24],[1211,21,1096,25,"toBytes"],[1211,28,1096,32],[1211,29,1096,33],[1211,33,1096,37],[1211,34,1096,38,"r"],[1211,35,1096,39],[1211,36,1096,40],[1212,8,1097,12],[1212,14,1097,18,"s"],[1212,15,1097,19],[1212,18,1097,22,"Fn"],[1212,20,1097,24],[1212,21,1097,25,"toBytes"],[1212,28,1097,32],[1212,29,1097,33],[1212,33,1097,37],[1212,34,1097,38,"s"],[1212,35,1097,39],[1212,36,1097,40],[1213,8,1098,12],[1213,12,1098,16,"format"],[1213,18,1098,22],[1213,23,1098,27],[1213,34,1098,38],[1213,36,1098,40],[1214,10,1099,16],[1214,14,1099,20],[1214,18,1099,24],[1214,19,1099,25,"recovery"],[1214,27,1099,33],[1214,31,1099,37],[1214,35,1099,41],[1214,37,1100,20],[1214,43,1100,26],[1214,47,1100,30,"Error"],[1214,52,1100,35],[1214,53,1100,36],[1214,83,1100,66],[1214,84,1100,67],[1215,10,1101,16],[1215,17,1101,23],[1215,18,1101,24],[1215,19,1101,25],[1215,21,1101,27,"utils_ts_1"],[1215,31,1101,37],[1215,32,1101,38,"concatBytes"],[1215,43,1101,49],[1215,45,1101,51,"Uint8Array"],[1215,55,1101,61],[1215,56,1101,62,"of"],[1215,58,1101,64],[1215,59,1101,65],[1215,63,1101,69],[1215,64,1101,70,"recovery"],[1215,72,1101,78],[1215,73,1101,79],[1215,75,1101,81,"r"],[1215,76,1101,82],[1215,78,1101,84,"s"],[1215,79,1101,85],[1215,80,1101,86],[1216,8,1102,12],[1217,8,1103,12],[1217,15,1103,19],[1217,16,1103,20],[1217,17,1103,21],[1217,19,1103,23,"utils_ts_1"],[1217,29,1103,33],[1217,30,1103,34,"concatBytes"],[1217,41,1103,45],[1217,43,1103,47,"r"],[1217,44,1103,48],[1217,46,1103,50,"s"],[1217,47,1103,51],[1217,48,1103,52],[1218,6,1104,8],[1219,6,1105,8,"toHex"],[1219,11,1105,13,"toHex"],[1219,12,1105,14,"format"],[1219,18,1105,20],[1219,20,1105,22],[1220,8,1106,12],[1220,15,1106,19],[1220,16,1106,20],[1220,17,1106,21],[1220,19,1106,23,"utils_ts_1"],[1220,29,1106,33],[1220,30,1106,34,"bytesToHex"],[1220,40,1106,44],[1220,42,1106,46],[1220,46,1106,50],[1220,47,1106,51,"toBytes"],[1220,54,1106,58],[1220,55,1106,59,"format"],[1220,61,1106,65],[1220,62,1106,66],[1220,63,1106,67],[1221,6,1107,8],[1222,6,1108,8],[1223,6,1109,8,"assertValidity"],[1223,20,1109,22,"assertValidity"],[1223,21,1109,22],[1223,23,1109,25],[1223,24,1109,27],[1224,6,1110,8],[1224,13,1110,15,"fromCompact"],[1224,24,1110,26,"fromCompact"],[1224,25,1110,27,"hex"],[1224,28,1110,30],[1224,30,1110,32],[1225,8,1111,12],[1225,15,1111,19,"Signature"],[1225,24,1111,28],[1225,25,1111,29,"fromBytes"],[1225,34,1111,38],[1225,35,1111,39],[1225,36,1111,40],[1225,37,1111,41],[1225,39,1111,43,"utils_ts_1"],[1225,49,1111,53],[1225,50,1111,54,"ensureBytes"],[1225,61,1111,65],[1225,63,1111,67],[1225,68,1111,72],[1225,70,1111,74,"hex"],[1225,73,1111,77],[1225,74,1111,78],[1225,76,1111,80],[1225,85,1111,89],[1225,86,1111,90],[1226,6,1112,8],[1227,6,1113,8],[1227,13,1113,15,"fromDER"],[1227,20,1113,22,"fromDER"],[1227,21,1113,23,"hex"],[1227,24,1113,26],[1227,26,1113,28],[1228,8,1114,12],[1228,15,1114,19,"Signature"],[1228,24,1114,28],[1228,25,1114,29,"fromBytes"],[1228,34,1114,38],[1228,35,1114,39],[1228,36,1114,40],[1228,37,1114,41],[1228,39,1114,43,"utils_ts_1"],[1228,49,1114,53],[1228,50,1114,54,"ensureBytes"],[1228,61,1114,65],[1228,63,1114,67],[1228,68,1114,72],[1228,70,1114,74,"hex"],[1228,73,1114,77],[1228,74,1114,78],[1228,76,1114,80],[1228,81,1114,85],[1228,82,1114,86],[1229,6,1115,8],[1230,6,1116,8,"normalizeS"],[1230,16,1116,18,"normalizeS"],[1230,17,1116,18],[1230,19,1116,21],[1231,8,1117,12],[1231,15,1117,19],[1231,19,1117,23],[1231,20,1117,24,"hasHighS"],[1231,28,1117,32],[1231,29,1117,33],[1231,30,1117,34],[1231,33,1117,37],[1231,37,1117,41,"Signature"],[1231,46,1117,50],[1231,47,1117,51],[1231,51,1117,55],[1231,52,1117,56,"r"],[1231,53,1117,57],[1231,55,1117,59,"Fn"],[1231,57,1117,61],[1231,58,1117,62,"neg"],[1231,61,1117,65],[1231,62,1117,66],[1231,66,1117,70],[1231,67,1117,71,"s"],[1231,68,1117,72],[1231,69,1117,73],[1231,71,1117,75],[1231,75,1117,79],[1231,76,1117,80,"recovery"],[1231,84,1117,88],[1231,85,1117,89],[1231,88,1117,92],[1231,92,1117,96],[1232,6,1118,8],[1233,6,1119,8,"toDERRawBytes"],[1233,19,1119,21,"toDERRawBytes"],[1233,20,1119,21],[1233,22,1119,24],[1234,8,1120,12],[1234,15,1120,19],[1234,19,1120,23],[1234,20,1120,24,"toBytes"],[1234,27,1120,31],[1234,28,1120,32],[1234,33,1120,37],[1234,34,1120,38],[1235,6,1121,8],[1236,6,1122,8,"toDERHex"],[1236,14,1122,16,"toDERHex"],[1236,15,1122,16],[1236,17,1122,19],[1237,8,1123,12],[1237,15,1123,19],[1237,16,1123,20],[1237,17,1123,21],[1237,19,1123,23,"utils_ts_1"],[1237,29,1123,33],[1237,30,1123,34,"bytesToHex"],[1237,40,1123,44],[1237,42,1123,46],[1237,46,1123,50],[1237,47,1123,51,"toBytes"],[1237,54,1123,58],[1237,55,1123,59],[1237,60,1123,64],[1237,61,1123,65],[1237,62,1123,66],[1238,6,1124,8],[1239,6,1125,8,"toCompactRawBytes"],[1239,23,1125,25,"toCompactRawBytes"],[1239,24,1125,25],[1239,26,1125,28],[1240,8,1126,12],[1240,15,1126,19],[1240,19,1126,23],[1240,20,1126,24,"toBytes"],[1240,27,1126,31],[1240,28,1126,32],[1240,37,1126,41],[1240,38,1126,42],[1241,6,1127,8],[1242,6,1128,8,"toCompactHex"],[1242,18,1128,20,"toCompactHex"],[1242,19,1128,20],[1242,21,1128,23],[1243,8,1129,12],[1243,15,1129,19],[1243,16,1129,20],[1243,17,1129,21],[1243,19,1129,23,"utils_ts_1"],[1243,29,1129,33],[1243,30,1129,34,"bytesToHex"],[1243,40,1129,44],[1243,42,1129,46],[1243,46,1129,50],[1243,47,1129,51,"toBytes"],[1243,54,1129,58],[1243,55,1129,59],[1243,64,1129,68],[1243,65,1129,69],[1243,66,1129,70],[1244,6,1130,8],[1245,4,1131,4],[1246,4,1132,4],[1247,4,1133,4],[1248,4,1134,4],[1249,4,1135,4],[1250,4,1136,4],[1250,10,1136,10,"bits2int"],[1250,18,1136,18],[1250,21,1136,21,"ecdsaOpts"],[1250,30,1136,30],[1250,31,1136,31,"bits2int"],[1250,39,1136,39],[1250,43,1137,8],[1250,52,1137,17,"bits2int_def"],[1250,64,1137,29,"bits2int_def"],[1250,65,1137,30,"bytes"],[1250,70,1137,35],[1250,72,1137,37],[1251,6,1138,12],[1252,6,1139,12],[1252,10,1139,16,"bytes"],[1252,15,1139,21],[1252,16,1139,22,"length"],[1252,22,1139,28],[1252,25,1139,31],[1252,29,1139,35],[1252,31,1140,16],[1252,37,1140,22],[1252,41,1140,26,"Error"],[1252,46,1140,31],[1252,47,1140,32],[1252,67,1140,52],[1252,68,1140,53],[1253,6,1141,12],[1254,6,1142,12],[1255,6,1143,12],[1255,12,1143,18,"num"],[1255,15,1143,21],[1255,18,1143,24],[1255,19,1143,25],[1255,20,1143,26],[1255,22,1143,28,"utils_ts_1"],[1255,32,1143,38],[1255,33,1143,39,"bytesToNumberBE"],[1255,48,1143,54],[1255,50,1143,56,"bytes"],[1255,55,1143,61],[1255,56,1143,62],[1255,57,1143,63],[1255,58,1143,64],[1256,6,1144,12],[1256,12,1144,18,"delta"],[1256,17,1144,23],[1256,20,1144,26,"bytes"],[1256,25,1144,31],[1256,26,1144,32,"length"],[1256,32,1144,38],[1256,35,1144,41],[1256,36,1144,42],[1256,39,1144,45,"fnBits"],[1256,45,1144,51],[1256,46,1144,52],[1256,47,1144,53],[1257,6,1145,12],[1257,13,1145,19,"delta"],[1257,18,1145,24],[1257,21,1145,27],[1257,22,1145,28],[1257,25,1145,31,"num"],[1257,28,1145,34],[1257,32,1145,38,"BigInt"],[1257,38,1145,44],[1257,39,1145,45,"delta"],[1257,44,1145,50],[1257,45,1145,51],[1257,48,1145,54,"num"],[1257,51,1145,57],[1258,4,1146,8],[1258,5,1146,9],[1259,4,1147,4],[1259,10,1147,10,"bits2int_modN"],[1259,23,1147,23],[1259,26,1147,26,"ecdsaOpts"],[1259,35,1147,35],[1259,36,1147,36,"bits2int_modN"],[1259,49,1147,49],[1259,53,1148,8],[1259,62,1148,17,"bits2int_modN_def"],[1259,79,1148,34,"bits2int_modN_def"],[1259,80,1148,35,"bytes"],[1259,85,1148,40],[1259,87,1148,42],[1260,6,1149,12],[1260,13,1149,19,"Fn"],[1260,15,1149,21],[1260,16,1149,22,"create"],[1260,22,1149,28],[1260,23,1149,29,"bits2int"],[1260,31,1149,37],[1260,32,1149,38,"bytes"],[1260,37,1149,43],[1260,38,1149,44],[1260,39,1149,45],[1260,40,1149,46],[1260,41,1149,47],[1261,4,1150,8],[1261,5,1150,9],[1262,4,1151,4],[1263,4,1152,4],[1263,10,1152,10,"ORDER_MASK"],[1263,20,1152,20],[1263,23,1152,23],[1263,24,1152,24],[1263,25,1152,25],[1263,27,1152,27,"utils_ts_1"],[1263,37,1152,37],[1263,38,1152,38,"bitMask"],[1263,45,1152,45],[1263,47,1152,47,"fnBits"],[1263,53,1152,53],[1263,54,1152,54],[1264,4,1153,4],[1265,4,1154,4],[1265,13,1154,13,"int2octets"],[1265,23,1154,23,"int2octets"],[1265,24,1154,24,"num"],[1265,27,1154,27],[1265,29,1154,29],[1266,6,1155,8],[1267,6,1156,8],[1267,7,1156,9],[1267,8,1156,10],[1267,10,1156,12,"utils_ts_1"],[1267,20,1156,22],[1267,21,1156,23,"aInRange"],[1267,29,1156,31],[1267,31,1156,33],[1267,41,1156,43],[1267,44,1156,46,"fnBits"],[1267,50,1156,52],[1267,52,1156,54,"num"],[1267,55,1156,57],[1267,57,1156,59,"_0n"],[1267,60,1156,62],[1267,62,1156,64,"ORDER_MASK"],[1267,72,1156,74],[1267,73,1156,75],[1268,6,1157,8],[1268,13,1157,15,"Fn"],[1268,15,1157,17],[1268,16,1157,18,"toBytes"],[1268,23,1157,25],[1268,24,1157,26,"num"],[1268,27,1157,29],[1268,28,1157,30],[1269,4,1158,4],[1270,4,1159,4],[1270,13,1159,13,"validateMsgAndHash"],[1270,31,1159,31,"validateMsgAndHash"],[1270,32,1159,32,"message"],[1270,39,1159,39],[1270,41,1159,41,"prehash"],[1270,48,1159,48],[1270,50,1159,50],[1271,6,1160,8],[1271,7,1160,9],[1271,8,1160,10],[1271,10,1160,12,"utils_ts_1"],[1271,20,1160,22],[1271,21,1160,23,"_abytes2"],[1271,29,1160,31],[1271,31,1160,33,"message"],[1271,38,1160,40],[1271,40,1160,42,"undefined"],[1271,49,1160,51],[1271,51,1160,53],[1271,60,1160,62],[1271,61,1160,63],[1272,6,1161,8],[1272,13,1161,15,"prehash"],[1272,20,1161,22],[1272,23,1161,25],[1272,24,1161,26],[1272,25,1161,27],[1272,27,1161,29,"utils_ts_1"],[1272,37,1161,39],[1272,38,1161,40,"_abytes2"],[1272,46,1161,48],[1272,48,1161,50,"hash"],[1272,52,1161,54],[1272,53,1161,55,"message"],[1272,60,1161,62],[1272,61,1161,63],[1272,63,1161,65,"undefined"],[1272,72,1161,74],[1272,74,1161,76],[1272,93,1161,95],[1272,94,1161,96],[1272,97,1161,99,"message"],[1272,104,1161,106],[1273,4,1162,4],[1274,4,1163,4],[1275,0,1164,0],[1276,0,1165,0],[1277,0,1166,0],[1278,0,1167,0],[1279,0,1168,0],[1280,0,1169,0],[1281,0,1170,0],[1282,4,1171,4],[1282,13,1171,13,"prepSig"],[1282,20,1171,20,"prepSig"],[1282,21,1171,21,"message"],[1282,28,1171,28],[1282,30,1171,30,"privateKey"],[1282,40,1171,40],[1282,42,1171,42,"opts"],[1282,46,1171,46],[1282,48,1171,48],[1283,6,1172,8],[1283,10,1172,12],[1283,11,1172,13],[1283,22,1172,24],[1283,24,1172,26],[1283,35,1172,37],[1283,36,1172,38],[1283,37,1172,39,"some"],[1283,41,1172,43],[1283,42,1172,45,"k"],[1283,43,1172,46],[1283,47,1172,51,"k"],[1283,48,1172,52],[1283,52,1172,56,"opts"],[1283,56,1172,60],[1283,57,1172,61],[1283,59,1173,12],[1283,65,1173,18],[1283,69,1173,22,"Error"],[1283,74,1173,27],[1283,75,1173,28],[1283,112,1173,65],[1283,113,1173,66],[1284,6,1174,8],[1284,12,1174,14],[1285,8,1174,16,"lowS"],[1285,12,1174,20],[1286,8,1174,22,"prehash"],[1286,15,1174,29],[1287,8,1174,31,"extraEntropy"],[1288,6,1174,44],[1288,7,1174,45],[1288,10,1174,48,"validateSigOpts"],[1288,25,1174,63],[1288,26,1174,64,"opts"],[1288,30,1174,68],[1288,32,1174,70,"defaultSigOpts"],[1288,46,1174,84],[1288,47,1174,85],[1289,6,1175,8,"message"],[1289,13,1175,15],[1289,16,1175,18,"validateMsgAndHash"],[1289,34,1175,36],[1289,35,1175,37,"message"],[1289,42,1175,44],[1289,44,1175,46,"prehash"],[1289,51,1175,53],[1289,52,1175,54],[1289,53,1175,55],[1289,54,1175,56],[1290,6,1176,8],[1291,6,1177,8],[1292,6,1178,8],[1293,6,1179,8],[1293,12,1179,14,"h1int"],[1293,17,1179,19],[1293,20,1179,22,"bits2int_modN"],[1293,33,1179,35],[1293,34,1179,36,"message"],[1293,41,1179,43],[1293,42,1179,44],[1294,6,1180,8],[1294,12,1180,14,"d"],[1294,13,1180,15],[1294,16,1180,18,"_normFnElement"],[1294,30,1180,32],[1294,31,1180,33,"Fn"],[1294,33,1180,35],[1294,35,1180,37,"privateKey"],[1294,45,1180,47],[1294,46,1180,48],[1294,47,1180,49],[1294,48,1180,50],[1295,6,1181,8],[1295,12,1181,14,"seedArgs"],[1295,20,1181,22],[1295,23,1181,25],[1295,24,1181,26,"int2octets"],[1295,34,1181,36],[1295,35,1181,37,"d"],[1295,36,1181,38],[1295,37,1181,39],[1295,39,1181,41,"int2octets"],[1295,49,1181,51],[1295,50,1181,52,"h1int"],[1295,55,1181,57],[1295,56,1181,58],[1295,57,1181,59],[1296,6,1182,8],[1297,6,1183,8],[1297,10,1183,12,"extraEntropy"],[1297,22,1183,24],[1297,26,1183,28],[1297,30,1183,32],[1297,34,1183,36,"extraEntropy"],[1297,46,1183,48],[1297,51,1183,53],[1297,56,1183,58],[1297,58,1183,60],[1298,8,1184,12],[1299,8,1185,12],[1300,8,1186,12],[1300,14,1186,18,"e"],[1300,15,1186,19],[1300,18,1186,22,"extraEntropy"],[1300,30,1186,34],[1300,35,1186,39],[1300,39,1186,43],[1300,42,1186,46,"randomBytes"],[1300,53,1186,57],[1300,54,1186,58,"lengths"],[1300,61,1186,65],[1300,62,1186,66,"secretKey"],[1300,71,1186,75],[1300,72,1186,76],[1300,75,1186,79,"extraEntropy"],[1300,87,1186,91],[1301,8,1187,12,"seedArgs"],[1301,16,1187,20],[1301,17,1187,21,"push"],[1301,21,1187,25],[1301,22,1187,26],[1301,23,1187,27],[1301,24,1187,28],[1301,26,1187,30,"utils_ts_1"],[1301,36,1187,40],[1301,37,1187,41,"ensureBytes"],[1301,48,1187,52],[1301,50,1187,54],[1301,64,1187,68],[1301,66,1187,70,"e"],[1301,67,1187,71],[1301,68,1187,72],[1301,69,1187,73],[1301,70,1187,74],[1301,71,1187,75],[1302,6,1188,8],[1303,6,1189,8],[1303,12,1189,14,"seed"],[1303,16,1189,18],[1303,19,1189,21],[1303,20,1189,22],[1303,21,1189,23],[1303,23,1189,25,"utils_ts_1"],[1303,33,1189,35],[1303,34,1189,36,"concatBytes"],[1303,45,1189,47],[1303,47,1189,49],[1303,50,1189,52,"seedArgs"],[1303,58,1189,60],[1303,59,1189,61],[1303,60,1189,62],[1303,61,1189,63],[1304,6,1190,8],[1304,12,1190,14,"m"],[1304,13,1190,15],[1304,16,1190,18,"h1int"],[1304,21,1190,23],[1304,22,1190,24],[1304,23,1190,25],[1305,6,1191,8],[1306,6,1192,8],[1307,6,1193,8],[1308,6,1194,8],[1309,6,1195,8],[1310,6,1196,8],[1311,6,1197,8],[1312,6,1198,8],[1313,6,1199,8],[1313,15,1199,17,"k2sig"],[1313,20,1199,22,"k2sig"],[1313,21,1199,23,"kBytes"],[1313,27,1199,29],[1313,29,1199,31],[1314,8,1200,12],[1315,8,1201,12],[1316,8,1202,12],[1316,14,1202,18,"k"],[1316,15,1202,19],[1316,18,1202,22,"bits2int"],[1316,26,1202,30],[1316,27,1202,31,"kBytes"],[1316,33,1202,37],[1316,34,1202,38],[1316,35,1202,39],[1316,36,1202,40],[1317,8,1203,12],[1317,12,1203,16],[1317,13,1203,17,"Fn"],[1317,15,1203,19],[1317,16,1203,20,"isValidNot0"],[1317,27,1203,31],[1317,28,1203,32,"k"],[1317,29,1203,33],[1317,30,1203,34],[1317,32,1204,16],[1317,39,1204,23],[1317,40,1204,24],[1318,8,1205,12],[1318,14,1205,18,"ik"],[1318,16,1205,20],[1318,19,1205,23,"Fn"],[1318,21,1205,25],[1318,22,1205,26,"inv"],[1318,25,1205,29],[1318,26,1205,30,"k"],[1318,27,1205,31],[1318,28,1205,32],[1318,29,1205,33],[1318,30,1205,34],[1319,8,1206,12],[1319,14,1206,18,"q"],[1319,15,1206,19],[1319,18,1206,22,"Point"],[1319,23,1206,27],[1319,24,1206,28,"BASE"],[1319,28,1206,32],[1319,29,1206,33,"multiply"],[1319,37,1206,41],[1319,38,1206,42,"k"],[1319,39,1206,43],[1319,40,1206,44],[1319,41,1206,45,"toAffine"],[1319,49,1206,53],[1319,50,1206,54],[1319,51,1206,55],[1319,52,1206,56],[1319,53,1206,57],[1320,8,1207,12],[1320,14,1207,18,"r"],[1320,15,1207,19],[1320,18,1207,22,"Fn"],[1320,20,1207,24],[1320,21,1207,25,"create"],[1320,27,1207,31],[1320,28,1207,32,"q"],[1320,29,1207,33],[1320,30,1207,34,"x"],[1320,31,1207,35],[1320,32,1207,36],[1320,33,1207,37],[1320,34,1207,38],[1321,8,1208,12],[1321,12,1208,16,"r"],[1321,13,1208,17],[1321,18,1208,22,"_0n"],[1321,21,1208,25],[1321,23,1209,16],[1322,8,1210,12],[1322,14,1210,18,"s"],[1322,15,1210,19],[1322,18,1210,22,"Fn"],[1322,20,1210,24],[1322,21,1210,25,"create"],[1322,27,1210,31],[1322,28,1210,32,"ik"],[1322,30,1210,34],[1322,33,1210,37,"Fn"],[1322,35,1210,39],[1322,36,1210,40,"create"],[1322,42,1210,46],[1322,43,1210,47,"m"],[1322,44,1210,48],[1322,47,1210,51,"r"],[1322,48,1210,52],[1322,51,1210,55,"d"],[1322,52,1210,56],[1322,53,1210,57],[1322,54,1210,58],[1322,55,1210,59],[1322,56,1210,60],[1323,8,1211,12],[1323,12,1211,16,"s"],[1323,13,1211,17],[1323,18,1211,22,"_0n"],[1323,21,1211,25],[1323,23,1212,16],[1324,8,1213,12],[1324,12,1213,16,"recovery"],[1324,20,1213,24],[1324,23,1213,27],[1324,24,1213,28,"q"],[1324,25,1213,29],[1324,26,1213,30,"x"],[1324,27,1213,31],[1324,32,1213,36,"r"],[1324,33,1213,37],[1324,36,1213,40],[1324,37,1213,41],[1324,40,1213,44],[1324,41,1213,45],[1324,45,1213,49,"Number"],[1324,51,1213,55],[1324,52,1213,56,"q"],[1324,53,1213,57],[1324,54,1213,58,"y"],[1324,55,1213,59],[1324,58,1213,62,"_1n"],[1324,61,1213,65],[1324,62,1213,66],[1324,63,1213,67],[1324,64,1213,68],[1325,8,1214,12],[1325,12,1214,16,"normS"],[1325,17,1214,21],[1325,20,1214,24,"s"],[1325,21,1214,25],[1326,8,1215,12],[1326,12,1215,16,"lowS"],[1326,16,1215,20],[1326,20,1215,24,"isBiggerThanHalfOrder"],[1326,41,1215,45],[1326,42,1215,46,"s"],[1326,43,1215,47],[1326,44,1215,48],[1326,46,1215,50],[1327,10,1216,16,"normS"],[1327,15,1216,21],[1327,18,1216,24,"Fn"],[1327,20,1216,26],[1327,21,1216,27,"neg"],[1327,24,1216,30],[1327,25,1216,31,"s"],[1327,26,1216,32],[1327,27,1216,33],[1327,28,1216,34],[1327,29,1216,35],[1328,10,1217,16,"recovery"],[1328,18,1217,24],[1328,22,1217,28],[1328,23,1217,29],[1328,24,1217,30],[1328,25,1217,31],[1329,8,1218,12],[1330,8,1219,12],[1330,15,1219,19],[1330,19,1219,23,"Signature"],[1330,28,1219,32],[1330,29,1219,33,"r"],[1330,30,1219,34],[1330,32,1219,36,"normS"],[1330,37,1219,41],[1330,39,1219,43,"recovery"],[1330,47,1219,51],[1330,48,1219,52],[1330,49,1219,53],[1330,50,1219,54],[1331,6,1220,8],[1332,6,1221,8],[1332,13,1221,15],[1333,8,1221,17,"seed"],[1333,12,1221,21],[1334,8,1221,23,"k2sig"],[1335,6,1221,29],[1335,7,1221,30],[1336,4,1222,4],[1337,4,1223,4],[1338,0,1224,0],[1339,0,1225,0],[1340,0,1226,0],[1341,0,1227,0],[1342,0,1228,0],[1343,0,1229,0],[1344,0,1230,0],[1345,0,1231,0],[1346,0,1232,0],[1347,0,1233,0],[1348,4,1234,4],[1348,13,1234,13,"sign"],[1348,17,1234,17,"sign"],[1348,18,1234,18,"message"],[1348,25,1234,25],[1348,27,1234,27,"secretKey"],[1348,36,1234,36],[1348,38,1234,38,"opts"],[1348,42,1234,42],[1348,45,1234,45],[1348,46,1234,46],[1348,47,1234,47],[1348,49,1234,49],[1349,6,1235,8,"message"],[1349,13,1235,15],[1349,16,1235,18],[1349,17,1235,19],[1349,18,1235,20],[1349,20,1235,22,"utils_ts_1"],[1349,30,1235,32],[1349,31,1235,33,"ensureBytes"],[1349,42,1235,44],[1349,44,1235,46],[1349,53,1235,55],[1349,55,1235,57,"message"],[1349,62,1235,64],[1349,63,1235,65],[1350,6,1236,8],[1350,12,1236,14],[1351,8,1236,16,"seed"],[1351,12,1236,20],[1352,8,1236,22,"k2sig"],[1353,6,1236,28],[1353,7,1236,29],[1353,10,1236,32,"prepSig"],[1353,17,1236,39],[1353,18,1236,40,"message"],[1353,25,1236,47],[1353,27,1236,49,"secretKey"],[1353,36,1236,58],[1353,38,1236,60,"opts"],[1353,42,1236,64],[1353,43,1236,65],[1353,44,1236,66],[1353,45,1236,67],[1354,6,1237,8],[1354,12,1237,14,"drbg"],[1354,16,1237,18],[1354,19,1237,21],[1354,20,1237,22],[1354,21,1237,23],[1354,23,1237,25,"utils_ts_1"],[1354,33,1237,35],[1354,34,1237,36,"createHmacDrbg"],[1354,48,1237,50],[1354,50,1237,52,"hash"],[1354,54,1237,56],[1354,55,1237,57,"outputLen"],[1354,64,1237,66],[1354,66,1237,68,"Fn"],[1354,68,1237,70],[1354,69,1237,71,"BYTES"],[1354,74,1237,76],[1354,76,1237,78,"hmac"],[1354,80,1237,82],[1354,81,1237,83],[1355,6,1238,8],[1355,12,1238,14,"sig"],[1355,15,1238,17],[1355,18,1238,20,"drbg"],[1355,22,1238,24],[1355,23,1238,25,"seed"],[1355,27,1238,29],[1355,29,1238,31,"k2sig"],[1355,34,1238,36],[1355,35,1238,37],[1355,36,1238,38],[1355,37,1238,39],[1356,6,1239,8],[1356,13,1239,15,"sig"],[1356,16,1239,18],[1357,4,1240,4],[1358,4,1241,4],[1358,13,1241,13,"tryParsingSig"],[1358,26,1241,26,"tryParsingSig"],[1358,27,1241,27,"sg"],[1358,29,1241,29],[1358,31,1241,31],[1359,6,1242,8],[1360,6,1243,8],[1360,10,1243,12,"sig"],[1360,13,1243,15],[1360,16,1243,18,"undefined"],[1360,25,1243,27],[1361,6,1244,8],[1361,12,1244,14,"isHex"],[1361,17,1244,19],[1361,20,1244,22],[1361,27,1244,29,"sg"],[1361,29,1244,31],[1361,34,1244,36],[1361,42,1244,44],[1361,46,1244,48],[1361,47,1244,49],[1361,48,1244,50],[1361,50,1244,52,"utils_ts_1"],[1361,60,1244,62],[1361,61,1244,63,"isBytes"],[1361,68,1244,70],[1361,70,1244,72,"sg"],[1361,72,1244,74],[1361,73,1244,75],[1362,6,1245,8],[1362,12,1245,14,"isObj"],[1362,17,1245,19],[1362,20,1245,22],[1362,21,1245,23,"isHex"],[1362,26,1245,28],[1362,30,1246,12,"sg"],[1362,32,1246,14],[1362,37,1246,19],[1362,41,1246,23],[1362,45,1247,12],[1362,52,1247,19,"sg"],[1362,54,1247,21],[1362,59,1247,26],[1362,67,1247,34],[1362,71,1248,12],[1362,78,1248,19,"sg"],[1362,80,1248,21],[1362,81,1248,22,"r"],[1362,82,1248,23],[1362,87,1248,28],[1362,95,1248,36],[1362,99,1249,12],[1362,106,1249,19,"sg"],[1362,108,1249,21],[1362,109,1249,22,"s"],[1362,110,1249,23],[1362,115,1249,28],[1362,123,1249,36],[1363,6,1250,8],[1363,10,1250,12],[1363,11,1250,13,"isHex"],[1363,16,1250,18],[1363,20,1250,22],[1363,21,1250,23,"isObj"],[1363,26,1250,28],[1363,28,1251,12],[1363,34,1251,18],[1363,38,1251,22,"Error"],[1363,43,1251,27],[1363,44,1251,28],[1363,118,1251,102],[1363,119,1251,103],[1364,6,1252,8],[1364,10,1252,12,"isObj"],[1364,15,1252,17],[1364,17,1252,19],[1365,8,1253,12,"sig"],[1365,11,1253,15],[1365,14,1253,18],[1365,18,1253,22,"Signature"],[1365,27,1253,31],[1365,28,1253,32,"sg"],[1365,30,1253,34],[1365,31,1253,35,"r"],[1365,32,1253,36],[1365,34,1253,38,"sg"],[1365,36,1253,40],[1365,37,1253,41,"s"],[1365,38,1253,42],[1365,39,1253,43],[1366,6,1254,8],[1366,7,1254,9],[1366,13,1255,13],[1366,17,1255,17,"isHex"],[1366,22,1255,22],[1366,24,1255,24],[1367,8,1256,12],[1367,12,1256,16],[1368,10,1257,16,"sig"],[1368,13,1257,19],[1368,16,1257,22,"Signature"],[1368,25,1257,31],[1368,26,1257,32,"fromBytes"],[1368,35,1257,41],[1368,36,1257,42],[1368,37,1257,43],[1368,38,1257,44],[1368,40,1257,46,"utils_ts_1"],[1368,50,1257,56],[1368,51,1257,57,"ensureBytes"],[1368,62,1257,68],[1368,64,1257,70],[1368,69,1257,75],[1368,71,1257,77,"sg"],[1368,73,1257,79],[1368,74,1257,80],[1368,76,1257,82],[1368,81,1257,87],[1368,82,1257,88],[1369,8,1258,12],[1369,9,1258,13],[1369,10,1259,12],[1369,17,1259,19,"derError"],[1369,25,1259,27],[1369,27,1259,29],[1370,10,1260,16],[1370,14,1260,20],[1370,16,1260,22,"derError"],[1370,24,1260,30],[1370,36,1260,42,"exports"],[1370,43,1260,49],[1370,44,1260,50,"DER"],[1370,47,1260,53],[1370,48,1260,54,"Err"],[1370,51,1260,57],[1370,52,1260,58],[1370,54,1261,20],[1370,60,1261,26,"derError"],[1370,68,1261,34],[1371,8,1262,12],[1372,8,1263,12],[1372,12,1263,16],[1372,13,1263,17,"sig"],[1372,16,1263,20],[1372,18,1263,22],[1373,10,1264,16],[1373,14,1264,20],[1374,12,1265,20,"sig"],[1374,15,1265,23],[1374,18,1265,26,"Signature"],[1374,27,1265,35],[1374,28,1265,36,"fromBytes"],[1374,37,1265,45],[1374,38,1265,46],[1374,39,1265,47],[1374,40,1265,48],[1374,42,1265,50,"utils_ts_1"],[1374,52,1265,60],[1374,53,1265,61,"ensureBytes"],[1374,64,1265,72],[1374,66,1265,74],[1374,71,1265,79],[1374,73,1265,81,"sg"],[1374,75,1265,83],[1374,76,1265,84],[1374,78,1265,86],[1374,87,1265,95],[1374,88,1265,96],[1375,10,1266,16],[1375,11,1266,17],[1375,12,1267,16],[1375,19,1267,23,"error"],[1375,24,1267,28],[1375,26,1267,30],[1376,12,1268,20],[1376,19,1268,27],[1376,24,1268,32],[1377,10,1269,16],[1378,8,1270,12],[1379,6,1271,8],[1380,6,1272,8],[1380,10,1272,12],[1380,11,1272,13,"sig"],[1380,14,1272,16],[1380,16,1273,12],[1380,23,1273,19],[1380,28,1273,24],[1381,6,1274,8],[1381,13,1274,15,"sig"],[1381,16,1274,18],[1382,4,1275,4],[1383,4,1276,4],[1384,0,1277,0],[1385,0,1278,0],[1386,0,1279,0],[1387,0,1280,0],[1388,0,1281,0],[1389,0,1282,0],[1390,0,1283,0],[1391,0,1284,0],[1392,0,1285,0],[1393,0,1286,0],[1394,0,1287,0],[1395,0,1288,0],[1396,4,1289,4],[1396,13,1289,13,"verify"],[1396,19,1289,19,"verify"],[1396,20,1289,20,"signature"],[1396,29,1289,29],[1396,31,1289,31,"message"],[1396,38,1289,38],[1396,40,1289,40,"publicKey"],[1396,49,1289,49],[1396,51,1289,51,"opts"],[1396,55,1289,55],[1396,58,1289,58],[1396,59,1289,59],[1396,60,1289,60],[1396,62,1289,62],[1397,6,1290,8],[1397,12,1290,14],[1398,8,1290,16,"lowS"],[1398,12,1290,20],[1399,8,1290,22,"prehash"],[1399,15,1290,29],[1400,8,1290,31,"format"],[1401,6,1290,38],[1401,7,1290,39],[1401,10,1290,42,"validateSigOpts"],[1401,25,1290,57],[1401,26,1290,58,"opts"],[1401,30,1290,62],[1401,32,1290,64,"defaultSigOpts"],[1401,46,1290,78],[1401,47,1290,79],[1402,6,1291,8,"publicKey"],[1402,15,1291,17],[1402,18,1291,20],[1402,19,1291,21],[1402,20,1291,22],[1402,22,1291,24,"utils_ts_1"],[1402,32,1291,34],[1402,33,1291,35,"ensureBytes"],[1402,44,1291,46],[1402,46,1291,48],[1402,57,1291,59],[1402,59,1291,61,"publicKey"],[1402,68,1291,70],[1402,69,1291,71],[1403,6,1292,8,"message"],[1403,13,1292,15],[1403,16,1292,18,"validateMsgAndHash"],[1403,34,1292,36],[1403,35,1292,37],[1403,36,1292,38],[1403,37,1292,39],[1403,39,1292,41,"utils_ts_1"],[1403,49,1292,51],[1403,50,1292,52,"ensureBytes"],[1403,61,1292,63],[1403,63,1292,65],[1403,72,1292,74],[1403,74,1292,76,"message"],[1403,81,1292,83],[1403,82,1292,84],[1403,84,1292,86,"prehash"],[1403,91,1292,93],[1403,92,1292,94],[1404,6,1293,8],[1404,10,1293,12],[1404,18,1293,20],[1404,22,1293,24,"opts"],[1404,26,1293,28],[1404,28,1294,12],[1404,34,1294,18],[1404,38,1294,22,"Error"],[1404,43,1294,27],[1404,44,1294,28],[1404,80,1294,64],[1404,81,1294,65],[1405,6,1295,8],[1405,12,1295,14,"sig"],[1405,15,1295,17],[1405,18,1295,20,"format"],[1405,24,1295,26],[1405,29,1295,31,"undefined"],[1405,38,1295,40],[1405,41,1296,14,"tryParsingSig"],[1405,54,1296,27],[1405,55,1296,28,"signature"],[1405,64,1296,37],[1405,65,1296,38],[1405,68,1297,14,"Signature"],[1405,77,1297,23],[1405,78,1297,24,"fromBytes"],[1405,87,1297,33],[1405,88,1297,34],[1405,89,1297,35],[1405,90,1297,36],[1405,92,1297,38,"utils_ts_1"],[1405,102,1297,48],[1405,103,1297,49,"ensureBytes"],[1405,114,1297,60],[1405,116,1297,62],[1405,121,1297,67],[1405,123,1297,69,"signature"],[1405,132,1297,78],[1405,133,1297,79],[1405,135,1297,81,"format"],[1405,141,1297,87],[1405,142,1297,88],[1406,6,1298,8],[1406,10,1298,12,"sig"],[1406,13,1298,15],[1406,18,1298,20],[1406,23,1298,25],[1406,25,1299,12],[1406,32,1299,19],[1406,37,1299,24],[1407,6,1300,8],[1407,10,1300,12],[1408,8,1301,12],[1408,14,1301,18,"P"],[1408,15,1301,19],[1408,18,1301,22,"Point"],[1408,23,1301,27],[1408,24,1301,28,"fromBytes"],[1408,33,1301,37],[1408,34,1301,38,"publicKey"],[1408,43,1301,47],[1408,44,1301,48],[1409,8,1302,12],[1409,12,1302,16,"lowS"],[1409,16,1302,20],[1409,20,1302,24,"sig"],[1409,23,1302,27],[1409,24,1302,28,"hasHighS"],[1409,32,1302,36],[1409,33,1302,37],[1409,34,1302,38],[1409,36,1303,16],[1409,43,1303,23],[1409,48,1303,28],[1410,8,1304,12]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