pezkuwi-mobile-app/frontend/.metro-cache/cache/09/204827f483aff8bc2582e3500762bcf53c8595cd8983837247bbc299fe96653f8cf640

{"dependencies":[{"name":"../utils.js","data":{"asyncType":null,"isESMImport":true,"locs":[{"start":{"line":8,"column":0,"index":290},"end":{"line":8,"column":146,"index":436}}],"key":"dGswK136diHRCgUa8xpQUn/UMbc=","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.mod = mod;\n  exports.pow = pow;\n  exports.pow2 = pow2;\n  exports.invert = invert;\n  exports.tonelliShanks = tonelliShanks;\n  exports.FpSqrt = FpSqrt;\n  Object.defineProperty(exports, \"isNegativeLE\", {\n    enumerable: true,\n    get: function () {\n      return isNegativeLE;\n    }\n  });\n  exports.validateField = validateField;\n  exports.FpPow = FpPow;\n  exports.FpInvertBatch = FpInvertBatch;\n  exports.FpDiv = FpDiv;\n  exports.FpLegendre = FpLegendre;\n  exports.FpIsSquare = FpIsSquare;\n  exports.nLength = nLength;\n  exports.Field = Field;\n  exports.FpSqrtOdd = FpSqrtOdd;\n  exports.FpSqrtEven = FpSqrtEven;\n  exports.hashToPrivateScalar = hashToPrivateScalar;\n  exports.getFieldBytesLength = getFieldBytesLength;\n  exports.getMinHashLength = getMinHashLength;\n  exports.mapHashToField = mapHashToField;\n  var _utilsJs = require(_dependencyMap[0], \"../utils.js\");\n  /**\n   * Utils for modular division and fields.\n   * Field over 11 is a finite (Galois) field is integer number operations `mod 11`.\n   * There is no division: it is replaced by modular multiplicative inverse.\n   * @module\n   */\n  /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */\n\n  // prettier-ignore\n  const _0n = BigInt(0),\n    _1n = BigInt(1),\n    _2n = /* @__PURE__ */BigInt(2),\n    _3n = /* @__PURE__ */BigInt(3);\n  // prettier-ignore\n  const _4n = /* @__PURE__ */BigInt(4),\n    _5n = /* @__PURE__ */BigInt(5),\n    _7n = /* @__PURE__ */BigInt(7);\n  // prettier-ignore\n  const _8n = /* @__PURE__ */BigInt(8),\n    _9n = /* @__PURE__ */BigInt(9),\n    _16n = /* @__PURE__ */BigInt(16);\n  // Calculates a modulo b\n  function mod(a, b) {\n    const result = a % b;\n    return result >= _0n ? result : b + result;\n  }\n  /**\n   * Efficiently raise num to power and do modular division.\n   * Unsafe in some contexts: uses ladder, so can expose bigint bits.\n   * @example\n   * pow(2n, 6n, 11n) // 64n % 11n == 9n\n   */\n  function pow(num, power, modulo) {\n    return FpPow(Field(modulo), num, power);\n  }\n  /** Does `x^(2^power)` mod p. `pow2(30, 4)` == `30^(2^4)` */\n  function pow2(x, power, modulo) {\n    let res = x;\n    while (power-- > _0n) {\n      res *= res;\n      res %= modulo;\n    }\n    return res;\n  }\n  /**\n   * Inverses number over modulo.\n   * Implemented using [Euclidean GCD](https://brilliant.org/wiki/extended-euclidean-algorithm/).\n   */\n  function invert(number, modulo) {\n    if (number === _0n) throw new Error('invert: expected non-zero number');\n    if (modulo <= _0n) throw new Error('invert: expected positive modulus, got ' + modulo);\n    // Fermat's little theorem \"CT-like\" version inv(n) = n^(m-2) mod m is 30x slower.\n    let a = mod(number, modulo);\n    let b = modulo;\n    // prettier-ignore\n    let x = _0n,\n      y = _1n,\n      u = _1n,\n      v = _0n;\n    while (a !== _0n) {\n      // JIT applies optimization if those two lines follow each other\n      const q = b / a;\n      const r = b % a;\n      const m = x - u * q;\n      const n = y - v * q;\n      // prettier-ignore\n      b = a, a = r, x = u, y = v, u = m, v = n;\n    }\n    const gcd = b;\n    if (gcd !== _1n) throw new Error('invert: does not exist');\n    return mod(x, modulo);\n  }\n  function assertIsSquare(Fp, root, n) {\n    if (!Fp.eql(Fp.sqr(root), n)) throw new Error('Cannot find square root');\n  }\n  // Not all roots are possible! Example which will throw:\n  // const NUM =\n  // n = 72057594037927816n;\n  // Fp = Field(BigInt('0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab'));\n  function sqrt3mod4(Fp, n) {\n    const p1div4 = (Fp.ORDER + _1n) / _4n;\n    const root = Fp.pow(n, p1div4);\n    assertIsSquare(Fp, root, n);\n    return root;\n  }\n  function sqrt5mod8(Fp, n) {\n    const p5div8 = (Fp.ORDER - _5n) / _8n;\n    const n2 = Fp.mul(n, _2n);\n    const v = Fp.pow(n2, p5div8);\n    const nv = Fp.mul(n, v);\n    const i = Fp.mul(Fp.mul(nv, _2n), v);\n    const root = Fp.mul(nv, Fp.sub(i, Fp.ONE));\n    assertIsSquare(Fp, root, n);\n    return root;\n  }\n  // Based on RFC9380, Kong algorithm\n  // prettier-ignore\n  function sqrt9mod16(P) {\n    const Fp_ = Field(P);\n    const tn = tonelliShanks(P);\n    const c1 = tn(Fp_, Fp_.neg(Fp_.ONE)); //  1. c1 = sqrt(-1) in F, i.e., (c1^2) == -1 in F\n    const c2 = tn(Fp_, c1); //  2. c2 = sqrt(c1) in F, i.e., (c2^2) == c1 in F\n    const c3 = tn(Fp_, Fp_.neg(c1)); //  3. c3 = sqrt(-c1) in F, i.e., (c3^2) == -c1 in F\n    const c4 = (P + _7n) / _16n; //  4. c4 = (q + 7) / 16        # Integer arithmetic\n    return (Fp, n) => {\n      let tv1 = Fp.pow(n, c4); //  1. tv1 = x^c4\n      let tv2 = Fp.mul(tv1, c1); //  2. tv2 = c1 * tv1\n      const tv3 = Fp.mul(tv1, c2); //  3. tv3 = c2 * tv1\n      const tv4 = Fp.mul(tv1, c3); //  4. tv4 = c3 * tv1\n      const e1 = Fp.eql(Fp.sqr(tv2), n); //  5.  e1 = (tv2^2) == x\n      const e2 = Fp.eql(Fp.sqr(tv3), n); //  6.  e2 = (tv3^2) == x\n      tv1 = Fp.cmov(tv1, tv2, e1); //  7. tv1 = CMOV(tv1, tv2, e1)  # Select tv2 if (tv2^2) == x\n      tv2 = Fp.cmov(tv4, tv3, e2); //  8. tv2 = CMOV(tv4, tv3, e2)  # Select tv3 if (tv3^2) == x\n      const e3 = Fp.eql(Fp.sqr(tv2), n); //  9.  e3 = (tv2^2) == x\n      const root = Fp.cmov(tv1, tv2, e3); // 10.  z = CMOV(tv1, tv2, e3)   # Select sqrt from tv1 & tv2\n      assertIsSquare(Fp, root, n);\n      return root;\n    };\n  }\n  /**\n   * Tonelli-Shanks square root search algorithm.\n   * 1. https://eprint.iacr.org/2012/685.pdf (page 12)\n   * 2. Square Roots from 1; 24, 51, 10 to Dan Shanks\n   * @param P field order\n   * @returns function that takes field Fp (created from P) and number n\n   */\n  function tonelliShanks(P) {\n    // Initialization (precomputation).\n    // Caching initialization could boost perf by 7%.\n    if (P < _3n) throw new Error('sqrt is not defined for small field');\n    // Factor P - 1 = Q * 2^S, where Q is odd\n    let Q = P - _1n;\n    let S = 0;\n    while (Q % _2n === _0n) {\n      Q /= _2n;\n      S++;\n    }\n    // Find the first quadratic non-residue Z >= 2\n    let Z = _2n;\n    const _Fp = Field(P);\n    while (FpLegendre(_Fp, Z) === 1) {\n      // Basic primality test for P. After x iterations, chance of\n      // not finding quadratic non-residue is 2^x, so 2^1000.\n      if (Z++ > 1000) throw new Error('Cannot find square root: probably non-prime P');\n    }\n    // Fast-path; usually done before Z, but we do \"primality test\".\n    if (S === 1) return sqrt3mod4;\n    // Slow-path\n    // TODO: test on Fp2 and others\n    let cc = _Fp.pow(Z, Q); // c = z^Q\n    const Q1div2 = (Q + _1n) / _2n;\n    return function tonelliSlow(Fp, n) {\n      if (Fp.is0(n)) return n;\n      // Check if n is a quadratic residue using Legendre symbol\n      if (FpLegendre(Fp, n) !== 1) throw new Error('Cannot find square root');\n      // Initialize variables for the main loop\n      let M = S;\n      let c = Fp.mul(Fp.ONE, cc); // c = z^Q, move cc from field _Fp into field Fp\n      let t = Fp.pow(n, Q); // t = n^Q, first guess at the fudge factor\n      let R = Fp.pow(n, Q1div2); // R = n^((Q+1)/2), first guess at the square root\n      // Main loop\n      // while t != 1\n      while (!Fp.eql(t, Fp.ONE)) {\n        if (Fp.is0(t)) return Fp.ZERO; // if t=0 return R=0\n        let i = 1;\n        // Find the smallest i >= 1 such that t^(2^i) ≡ 1 (mod P)\n        let t_tmp = Fp.sqr(t); // t^(2^1)\n        while (!Fp.eql(t_tmp, Fp.ONE)) {\n          i++;\n          t_tmp = Fp.sqr(t_tmp); // t^(2^2)...\n          if (i === M) throw new Error('Cannot find square root');\n        }\n        // Calculate the exponent for b: 2^(M - i - 1)\n        const exponent = _1n << BigInt(M - i - 1); // bigint is important\n        const b = Fp.pow(c, exponent); // b = 2^(M - i - 1)\n        // Update variables\n        M = i;\n        c = Fp.sqr(b); // c = b^2\n        t = Fp.mul(t, c); // t = (t * b^2)\n        R = Fp.mul(R, b); // R = R*b\n      }\n      return R;\n    };\n  }\n  /**\n   * Square root for a finite field. Will try optimized versions first:\n   *\n   * 1. P ≡ 3 (mod 4)\n   * 2. P ≡ 5 (mod 8)\n   * 3. P ≡ 9 (mod 16)\n   * 4. Tonelli-Shanks algorithm\n   *\n   * Different algorithms can give different roots, it is up to user to decide which one they want.\n   * For example there is FpSqrtOdd/FpSqrtEven to choice root based on oddness (used for hash-to-curve).\n   */\n  function FpSqrt(P) {\n    // P ≡ 3 (mod 4) => √n = n^((P+1)/4)\n    if (P % _4n === _3n) return sqrt3mod4;\n    // P ≡ 5 (mod 8) => Atkin algorithm, page 10 of https://eprint.iacr.org/2012/685.pdf\n    if (P % _8n === _5n) return sqrt5mod8;\n    // P ≡ 9 (mod 16) => Kong algorithm, page 11 of https://eprint.iacr.org/2012/685.pdf (algorithm 4)\n    if (P % _16n === _9n) return sqrt9mod16(P);\n    // Tonelli-Shanks algorithm\n    return tonelliShanks(P);\n  }\n  // Little-endian check for first LE bit (last BE bit);\n  const isNegativeLE = (num, modulo) => (mod(num, modulo) & _1n) === _1n;\n  // prettier-ignore\n  const FIELD_FIELDS = ['create', 'isValid', 'is0', 'neg', 'inv', 'sqrt', 'sqr', 'eql', 'add', 'sub', 'mul', 'pow', 'div', 'addN', 'subN', 'mulN', 'sqrN'];\n  function validateField(field) {\n    const initial = {\n      ORDER: 'bigint',\n      MASK: 'bigint',\n      BYTES: 'number',\n      BITS: 'number'\n    };\n    const opts = FIELD_FIELDS.reduce((map, val) => {\n      map[val] = 'function';\n      return map;\n    }, initial);\n    (0, _utilsJs._validateObject)(field, opts);\n    // const max = 16384;\n    // if (field.BYTES < 1 || field.BYTES > max) throw new Error('invalid field');\n    // if (field.BITS < 1 || field.BITS > 8 * max) throw new Error('invalid field');\n    return field;\n  }\n  // Generic field functions\n  /**\n   * Same as `pow` but for Fp: non-constant-time.\n   * Unsafe in some contexts: uses ladder, so can expose bigint bits.\n   */\n  function FpPow(Fp, num, power) {\n    if (power < _0n) throw new Error('invalid exponent, negatives unsupported');\n    if (power === _0n) return Fp.ONE;\n    if (power === _1n) return num;\n    let p = Fp.ONE;\n    let d = num;\n    while (power > _0n) {\n      if (power & _1n) p = Fp.mul(p, d);\n      d = Fp.sqr(d);\n      power >>= _1n;\n    }\n    return p;\n  }\n  /**\n   * Efficiently invert an array of Field elements.\n   * Exception-free. Will return `undefined` for 0 elements.\n   * @param passZero map 0 to 0 (instead of undefined)\n   */\n  function FpInvertBatch(Fp, nums, passZero = false) {\n    const inverted = new Array(nums.length).fill(passZero ? Fp.ZERO : undefined);\n    // Walk from first to last, multiply them by each other MOD p\n    const multipliedAcc = nums.reduce((acc, num, i) => {\n      if (Fp.is0(num)) return acc;\n      inverted[i] = acc;\n      return Fp.mul(acc, num);\n    }, Fp.ONE);\n    // Invert last element\n    const invertedAcc = Fp.inv(multipliedAcc);\n    // Walk from last to first, multiply them by inverted each other MOD p\n    nums.reduceRight((acc, num, i) => {\n      if (Fp.is0(num)) return acc;\n      inverted[i] = Fp.mul(acc, inverted[i]);\n      return Fp.mul(acc, num);\n    }, invertedAcc);\n    return inverted;\n  }\n  // TODO: remove\n  function FpDiv(Fp, lhs, rhs) {\n    return Fp.mul(lhs, typeof rhs === 'bigint' ? invert(rhs, Fp.ORDER) : Fp.inv(rhs));\n  }\n  /**\n   * Legendre symbol.\n   * Legendre constant is used to calculate Legendre symbol (a | p)\n   * which denotes the value of a^((p-1)/2) (mod p).\n   *\n   * * (a | p) ≡ 1    if a is a square (mod p), quadratic residue\n   * * (a | p) ≡ -1   if a is not a square (mod p), quadratic non residue\n   * * (a | p) ≡ 0    if a ≡ 0 (mod p)\n   */\n  function FpLegendre(Fp, n) {\n    // We can use 3rd argument as optional cache of this value\n    // but seems unneeded for now. The operation is very fast.\n    const p1mod2 = (Fp.ORDER - _1n) / _2n;\n    const powered = Fp.pow(n, p1mod2);\n    const yes = Fp.eql(powered, Fp.ONE);\n    const zero = Fp.eql(powered, Fp.ZERO);\n    const no = Fp.eql(powered, Fp.neg(Fp.ONE));\n    if (!yes && !zero && !no) throw new Error('invalid Legendre symbol result');\n    return yes ? 1 : zero ? 0 : -1;\n  }\n  // This function returns True whenever the value x is a square in the field F.\n  function FpIsSquare(Fp, n) {\n    const l = FpLegendre(Fp, n);\n    return l === 1;\n  }\n  // CURVE.n lengths\n  function nLength(n, nBitLength) {\n    // Bit size, byte size of CURVE.n\n    if (nBitLength !== undefined) (0, _utilsJs.anumber)(nBitLength);\n    const _nBitLength = nBitLength !== undefined ? nBitLength : n.toString(2).length;\n    const nByteLength = Math.ceil(_nBitLength / 8);\n    return {\n      nBitLength: _nBitLength,\n      nByteLength\n    };\n  }\n  /**\n   * Creates a finite field. Major performance optimizations:\n   * * 1. Denormalized operations like mulN instead of mul.\n   * * 2. Identical object shape: never add or remove keys.\n   * * 3. `Object.freeze`.\n   * Fragile: always run a benchmark on a change.\n   * Security note: operations don't check 'isValid' for all elements for performance reasons,\n   * it is caller responsibility to check this.\n   * This is low-level code, please make sure you know what you're doing.\n   *\n   * Note about field properties:\n   * * CHARACTERISTIC p = prime number, number of elements in main subgroup.\n   * * ORDER q = similar to cofactor in curves, may be composite `q = p^m`.\n   *\n   * @param ORDER field order, probably prime, or could be composite\n   * @param bitLen how many bits the field consumes\n   * @param isLE (default: false) if encoding / decoding should be in little-endian\n   * @param redef optional faster redefinitions of sqrt and other methods\n   */\n  function Field(ORDER, bitLenOrOpts,\n  // TODO: use opts only in v2?\n  isLE = false, opts = {}) {\n    if (ORDER <= _0n) throw new Error('invalid field: expected ORDER > 0, got ' + ORDER);\n    let _nbitLength = undefined;\n    let _sqrt = undefined;\n    let modFromBytes = false;\n    let allowedLengths = undefined;\n    if (typeof bitLenOrOpts === 'object' && bitLenOrOpts != null) {\n      if (opts.sqrt || isLE) throw new Error('cannot specify opts in two arguments');\n      const _opts = bitLenOrOpts;\n      if (_opts.BITS) _nbitLength = _opts.BITS;\n      if (_opts.sqrt) _sqrt = _opts.sqrt;\n      if (typeof _opts.isLE === 'boolean') isLE = _opts.isLE;\n      if (typeof _opts.modFromBytes === 'boolean') modFromBytes = _opts.modFromBytes;\n      allowedLengths = _opts.allowedLengths;\n    } else {\n      if (typeof bitLenOrOpts === 'number') _nbitLength = bitLenOrOpts;\n      if (opts.sqrt) _sqrt = opts.sqrt;\n    }\n    const {\n      nBitLength: BITS,\n      nByteLength: BYTES\n    } = nLength(ORDER, _nbitLength);\n    if (BYTES > 2048) throw new Error('invalid field: expected ORDER of <= 2048 bytes');\n    let sqrtP; // cached sqrtP\n    const f = Object.freeze({\n      ORDER,\n      isLE,\n      BITS,\n      BYTES,\n      MASK: (0, _utilsJs.bitMask)(BITS),\n      ZERO: _0n,\n      ONE: _1n,\n      allowedLengths: allowedLengths,\n      create: num => mod(num, ORDER),\n      isValid: num => {\n        if (typeof num !== 'bigint') throw new Error('invalid field element: expected bigint, got ' + typeof num);\n        return _0n <= num && num < ORDER; // 0 is valid element, but it's not invertible\n      },\n      is0: num => num === _0n,\n      // is valid and invertible\n      isValidNot0: num => !f.is0(num) && f.isValid(num),\n      isOdd: num => (num & _1n) === _1n,\n      neg: num => mod(-num, ORDER),\n      eql: (lhs, rhs) => lhs === rhs,\n      sqr: num => mod(num * num, ORDER),\n      add: (lhs, rhs) => mod(lhs + rhs, ORDER),\n      sub: (lhs, rhs) => mod(lhs - rhs, ORDER),\n      mul: (lhs, rhs) => mod(lhs * rhs, ORDER),\n      pow: (num, power) => FpPow(f, num, power),\n      div: (lhs, rhs) => mod(lhs * invert(rhs, ORDER), ORDER),\n      // Same as above, but doesn't normalize\n      sqrN: num => num * num,\n      addN: (lhs, rhs) => lhs + rhs,\n      subN: (lhs, rhs) => lhs - rhs,\n      mulN: (lhs, rhs) => lhs * rhs,\n      inv: num => invert(num, ORDER),\n      sqrt: _sqrt || (n => {\n        if (!sqrtP) sqrtP = FpSqrt(ORDER);\n        return sqrtP(f, n);\n      }),\n      toBytes: num => isLE ? (0, _utilsJs.numberToBytesLE)(num, BYTES) : (0, _utilsJs.numberToBytesBE)(num, BYTES),\n      fromBytes: (bytes, skipValidation = true) => {\n        if (allowedLengths) {\n          if (!allowedLengths.includes(bytes.length) || bytes.length > BYTES) {\n            throw new Error('Field.fromBytes: expected ' + allowedLengths + ' bytes, got ' + bytes.length);\n          }\n          const padded = new Uint8Array(BYTES);\n          // isLE add 0 to right, !isLE to the left.\n          padded.set(bytes, isLE ? 0 : padded.length - bytes.length);\n          bytes = padded;\n        }\n        if (bytes.length !== BYTES) throw new Error('Field.fromBytes: expected ' + BYTES + ' bytes, got ' + bytes.length);\n        let scalar = isLE ? (0, _utilsJs.bytesToNumberLE)(bytes) : (0, _utilsJs.bytesToNumberBE)(bytes);\n        if (modFromBytes) scalar = mod(scalar, ORDER);\n        if (!skipValidation) if (!f.isValid(scalar)) throw new Error('invalid field element: outside of range 0..ORDER');\n        // NOTE: we don't validate scalar here, please use isValid. This done such way because some\n        // protocol may allow non-reduced scalar that reduced later or changed some other way.\n        return scalar;\n      },\n      // TODO: we don't need it here, move out to separate fn\n      invertBatch: lst => FpInvertBatch(f, lst),\n      // We can't move this out because Fp6, Fp12 implement it\n      // and it's unclear what to return in there.\n      cmov: (a, b, c) => c ? b : a\n    });\n    return Object.freeze(f);\n  }\n  // Generic random scalar, we can do same for other fields if via Fp2.mul(Fp2.ONE, Fp2.random)?\n  // This allows unsafe methods like ignore bias or zero. These unsafe, but often used in different protocols (if deterministic RNG).\n  // which mean we cannot force this via opts.\n  // Not sure what to do with randomBytes, we can accept it inside opts if wanted.\n  // Probably need to export getMinHashLength somewhere?\n  // random(bytes?: Uint8Array, unsafeAllowZero = false, unsafeAllowBias = false) {\n  //   const LEN = !unsafeAllowBias ? getMinHashLength(ORDER) : BYTES;\n  //   if (bytes === undefined) bytes = randomBytes(LEN); // _opts.randomBytes?\n  //   const num = isLE ? bytesToNumberLE(bytes) : bytesToNumberBE(bytes);\n  //   // `mod(x, 11)` can sometimes produce 0. `mod(x, 10) + 1` is the same, but no 0\n  //   const reduced = unsafeAllowZero ? mod(num, ORDER) : mod(num, ORDER - _1n) + _1n;\n  //   return reduced;\n  // },\n  function FpSqrtOdd(Fp, elm) {\n    if (!Fp.isOdd) throw new Error(\"Field doesn't have isOdd\");\n    const root = Fp.sqrt(elm);\n    return Fp.isOdd(root) ? root : Fp.neg(root);\n  }\n  function FpSqrtEven(Fp, elm) {\n    if (!Fp.isOdd) throw new Error(\"Field doesn't have isOdd\");\n    const root = Fp.sqrt(elm);\n    return Fp.isOdd(root) ? Fp.neg(root) : root;\n  }\n  /**\n   * \"Constant-time\" private key generation utility.\n   * Same as mapKeyToField, but accepts less bytes (40 instead of 48 for 32-byte field).\n   * Which makes it slightly more biased, less secure.\n   * @deprecated use `mapKeyToField` instead\n   */\n  function hashToPrivateScalar(hash, groupOrder, isLE = false) {\n    hash = (0, _utilsJs.ensureBytes)('privateHash', hash);\n    const hashLen = hash.length;\n    const minLen = nLength(groupOrder).nByteLength + 8;\n    if (minLen < 24 || hashLen < minLen || hashLen > 1024) throw new Error('hashToPrivateScalar: expected ' + minLen + '-1024 bytes of input, got ' + hashLen);\n    const num = isLE ? (0, _utilsJs.bytesToNumberLE)(hash) : (0, _utilsJs.bytesToNumberBE)(hash);\n    return mod(num, groupOrder - _1n) + _1n;\n  }\n  /**\n   * Returns total number of bytes consumed by the field element.\n   * For example, 32 bytes for usual 256-bit weierstrass curve.\n   * @param fieldOrder number of field elements, usually CURVE.n\n   * @returns byte length of field\n   */\n  function getFieldBytesLength(fieldOrder) {\n    if (typeof fieldOrder !== 'bigint') throw new Error('field order must be bigint');\n    const bitLength = fieldOrder.toString(2).length;\n    return Math.ceil(bitLength / 8);\n  }\n  /**\n   * Returns minimal amount of bytes that can be safely reduced\n   * by field order.\n   * Should be 2^-128 for 128-bit curve such as P256.\n   * @param fieldOrder number of field elements, usually CURVE.n\n   * @returns byte length of target hash\n   */\n  function getMinHashLength(fieldOrder) {\n    const length = getFieldBytesLength(fieldOrder);\n    return length + Math.ceil(length / 2);\n  }\n  /**\n   * \"Constant-time\" private key generation utility.\n   * Can take (n + n/2) or more bytes of uniform input e.g. from CSPRNG or KDF\n   * and convert them into private scalar, with the modulo bias being negligible.\n   * Needs at least 48 bytes of input for 32-byte private key.\n   * https://research.kudelskisecurity.com/2020/07/28/the-definitive-guide-to-modulo-bias-and-how-to-avoid-it/\n   * FIPS 186-5, A.2 https://csrc.nist.gov/publications/detail/fips/186/5/final\n   * RFC 9380, https://www.rfc-editor.org/rfc/rfc9380#section-5\n   * @param hash hash output from SHA3 or a similar function\n   * @param groupOrder size of subgroup - (e.g. secp256k1.CURVE.n)\n   * @param isLE interpret hash bytes as LE num\n   * @returns valid private scalar\n   */\n  function mapHashToField(key, fieldOrder, isLE = false) {\n    const len = key.length;\n    const fieldLen = getFieldBytesLength(fieldOrder);\n    const minLen = getMinHashLength(fieldOrder);\n    // No small numbers: need to understand bias story. No huge numbers: easier to detect JS timings.\n    if (len < 16 || len < minLen || len > 1024) throw new Error('expected ' + minLen + '-1024 bytes of input, got ' + len);\n    const num = isLE ? (0, _utilsJs.bytesToNumberLE)(key) : (0, _utilsJs.bytesToNumberBE)(key);\n    // `mod(x, 11)` can sometimes produce 0. `mod(x, 10) + 1` is the same, but no 0\n    const reduced = mod(num, fieldOrder - _1n) + _1n;\n    return isLE ? (0, _utilsJs.numberToBytesLE)(reduced, fieldLen) : (0, _utilsJs.numberToBytesBE)(reduced, fieldLen);\n  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