{"version":3,"file":"index.cjs","sources":["../src/config.ts","../src/utils/debug.ts","../src/utils/index.ts","../src/utils.ts","../src/utils/promisify.ts","../node_modules/.pnpm/bn.js@5.2.5/node_modules/bn.js/lib/bn.js","../node_modules/.pnpm/@noble+hashes@2.3.0/node_modules/@noble/hashes/_u64.js","../node_modules/.pnpm/@noble+hashes@2.3.0/node_modules/@noble/hashes/utils.js","../node_modules/.pnpm/@noble+hashes@2.3.0/node_modules/@noble/hashes/_md.js","../node_modules/.pnpm/@noble+hashes@2.3.0/node_modules/@noble/hashes/legacy.js","../node_modules/.pnpm/@noble+hashes@2.3.0/node_modules/@noble/hashes/sha2.js","../node_modules/.pnpm/@noble+hashes@2.3.0/node_modules/@noble/hashes/hmac.js","../src/auth/ecc/src/hash.ts","../node_modules/.pnpm/base-x@5.0.1/node_modules/base-x/src/esm/index.js","../node_modules/.pnpm/bs58@6.0.0/node_modules/bs58/src/esm/index.js","../node_modules/.pnpm/@noble+curves@2.3.0/node_modules/@noble/curves/utils.js","../node_modules/.pnpm/@noble+curves@2.3.0/node_modules/@noble/curves/abstract/modular.js","../node_modules/.pnpm/@noble+curves@2.3.0/node_modules/@noble/curves/abstract/curve.js","../node_modules/.pnpm/@noble+curves@2.3.0/node_modules/@noble/curves/abstract/der.js","../node_modules/.pnpm/@noble+curves@2.3.0/node_modules/@noble/curves/abstract/weierstrass.js","../node_modules/.pnpm/@noble+curves@2.3.0/node_modules/@noble/curves/secp256k1.js","../src/auth/ecc/src/curve.ts","../src/auth/ecc/src/key_public.ts","../src/auth/ecc/src/key_private.ts","../src/auth/ecc/src/enforce_types.ts","../src/auth/ecc/src/ecsignature.ts","../src/auth/ecc/src/ecdsa.ts","../src/auth/ecc/src/signature.ts","../src/auth/ecc/src/address.ts","../src/crypto/random-bytes.ts","../src/api/rpc-auth.ts","../src/api/methods.ts","../node_modules/.pnpm/retry@0.13.1/node_modules/retry/lib/retry_operation.js","../node_modules/.pnpm/retry@0.13.1/node_modules/retry/lib/retry.js","../node_modules/.pnpm/retry@0.13.1/node_modules/retry/index.js","../src/api/transports/base.ts","../src/api/transports/http.ts","../src/api/transports/index.ts","../node_modules/.pnpm/long@3.2.0/node_modules/long/dist/long.js","../node_modules/.pnpm/bytebuffer@5.0.1_patch_hash=bcfa3ace44c01bde3547679878454d2c3e46c54e3bff1d010cb18b22da5dff8b/node_modules/bytebuffer/dist/bytebuffer-node.js","../node_modules/.pnpm/long@5.3.2/node_modules/long/index.js","../src/auth/account-update-chain.ts","../src/auth/serializer/transaction.ts","../src/auth/serializer.ts","../src/auth/index.ts","../src/api/index.ts","../src/broadcast/operations.ts","../src/broadcast/helpers.ts","../src/broadcast/index.ts","../src/formatter/index.ts","../node_modules/.pnpm/@noble+ciphers@2.0.1/node_modules/@noble/ciphers/utils.js","../node_modules/.pnpm/@noble+ciphers@2.0.1/node_modules/@noble/ciphers/aes.js","../src/auth/ecc/src/aes.ts","../src/memo/index.ts","../src/operations/index.ts","../src/crypto/index.ts","../src/index.ts"],"sourcesContent":[null,null,null,null,null,"(function (module, exports) {\n  'use strict';\n\n  // Utils\n  function assert (val, msg) {\n    if (!val) throw new Error(msg || 'Assertion failed');\n  }\n\n  // Could use `inherits` module, but don't want to move from single file\n  // architecture yet.\n  function inherits (ctor, superCtor) {\n    ctor.super_ = superCtor;\n    var TempCtor = function () {};\n    TempCtor.prototype = superCtor.prototype;\n    ctor.prototype = new TempCtor();\n    ctor.prototype.constructor = ctor;\n  }\n\n  // BN\n\n  function BN (number, base, endian) {\n    if (BN.isBN(number)) {\n      return number;\n    }\n\n    this.negative = 0;\n    this.words = null;\n    this.length = 0;\n\n    // Reduction context\n    this.red = null;\n\n    if (number !== null) {\n      if (base === 'le' || base === 'be') {\n        endian = base;\n        base = 10;\n      }\n\n      this._init(number || 0, base || 10, endian || 'be');\n    }\n  }\n  if (typeof module === 'object') {\n    module.exports = BN;\n  } else {\n    exports.BN = BN;\n  }\n\n  BN.BN = BN;\n  BN.wordSize = 26;\n\n  var Buffer;\n  try {\n    if (typeof window !== 'undefined' && typeof window.Buffer !== 'undefined') {\n      Buffer = window.Buffer;\n    } else {\n      Buffer = require('buffer').Buffer;\n    }\n  } catch (e) {\n  }\n\n  BN.isBN = function isBN (num) {\n    if (num instanceof BN) {\n      return true;\n    }\n\n    return num !== null && typeof num === 'object' &&\n      num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);\n  };\n\n  BN.max = function max (left, right) {\n    if (left.cmp(right) > 0) return left;\n    return right;\n  };\n\n  BN.min = function min (left, right) {\n    if (left.cmp(right) < 0) return left;\n    return right;\n  };\n\n  BN.prototype._init = function init (number, base, endian) {\n    if (typeof number === 'number') {\n      return this._initNumber(number, base, endian);\n    }\n\n    if (typeof number === 'object') {\n      return this._initArray(number, base, endian);\n    }\n\n    if (base === 'hex') {\n      base = 16;\n    }\n    assert(base === (base | 0) && base >= 2 && base <= 36);\n\n    number = number.toString().replace(/\\s+/g, '');\n    var start = 0;\n    if (number[0] === '-') {\n      start++;\n      this.negative = 1;\n    }\n\n    if (start < number.length) {\n      if (base === 16) {\n        this._parseHex(number, start, endian);\n      } else {\n        this._parseBase(number, base, start);\n        if (endian === 'le') {\n          this._initArray(this.toArray(), base, endian);\n        }\n      }\n    }\n  };\n\n  BN.prototype._initNumber = function _initNumber (number, base, endian) {\n    if (number < 0) {\n      this.negative = 1;\n      number = -number;\n    }\n    if (number < 0x4000000) {\n      this.words = [number & 0x3ffffff];\n      this.length = 1;\n    } else if (number < 0x10000000000000) {\n      this.words = [\n        number & 0x3ffffff,\n        (number / 0x4000000) & 0x3ffffff\n      ];\n      this.length = 2;\n    } else {\n      assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)\n      this.words = [\n        number & 0x3ffffff,\n        (number / 0x4000000) & 0x3ffffff,\n        1\n      ];\n      this.length = 3;\n    }\n\n    if (endian !== 'le') return;\n\n    // Reverse the bytes\n    this._initArray(this.toArray(), base, endian);\n  };\n\n  BN.prototype._initArray = function _initArray (number, base, endian) {\n    // Perhaps a Uint8Array\n    assert(typeof number.length === 'number');\n    if (number.length <= 0) {\n      this.words = [0];\n      this.length = 1;\n      return this;\n    }\n\n    this.length = Math.ceil(number.length / 3);\n    this.words = new Array(this.length);\n    for (var i = 0; i < this.length; i++) {\n      this.words[i] = 0;\n    }\n\n    var j, w;\n    var off = 0;\n    if (endian === 'be') {\n      for (i = number.length - 1, j = 0; i >= 0; i -= 3) {\n        w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);\n        this.words[j] |= (w << off) & 0x3ffffff;\n        this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n        off += 24;\n        if (off >= 26) {\n          off -= 26;\n          j++;\n        }\n      }\n    } else if (endian === 'le') {\n      for (i = 0, j = 0; i < number.length; i += 3) {\n        w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);\n        this.words[j] |= (w << off) & 0x3ffffff;\n        this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n        off += 24;\n        if (off >= 26) {\n          off -= 26;\n          j++;\n        }\n      }\n    }\n    return this._strip();\n  };\n\n  function parseHex4Bits (string, index) {\n    var c = string.charCodeAt(index);\n    // '0' - '9'\n    if (c >= 48 && c <= 57) {\n      return c - 48;\n    // 'A' - 'F'\n    } else if (c >= 65 && c <= 70) {\n      return c - 55;\n    // 'a' - 'f'\n    } else if (c >= 97 && c <= 102) {\n      return c - 87;\n    } else {\n      assert(false, 'Invalid character in ' + string);\n    }\n  }\n\n  function parseHexByte (string, lowerBound, index) {\n    var r = parseHex4Bits(string, index);\n    if (index - 1 >= lowerBound) {\n      r |= parseHex4Bits(string, index - 1) << 4;\n    }\n    return r;\n  }\n\n  BN.prototype._parseHex = function _parseHex (number, start, endian) {\n    // Create possibly bigger array to ensure that it fits the number\n    this.length = Math.ceil((number.length - start) / 6);\n    this.words = new Array(this.length);\n    for (var i = 0; i < this.length; i++) {\n      this.words[i] = 0;\n    }\n\n    // 24-bits chunks\n    var off = 0;\n    var j = 0;\n\n    var w;\n    if (endian === 'be') {\n      for (i = number.length - 1; i >= start; i -= 2) {\n        w = parseHexByte(number, start, i) << off;\n        this.words[j] |= w & 0x3ffffff;\n        if (off >= 18) {\n          off -= 18;\n          j += 1;\n          this.words[j] |= w >>> 26;\n        } else {\n          off += 8;\n        }\n      }\n    } else {\n      var parseLength = number.length - start;\n      for (i = parseLength % 2 === 0 ? start + 1 : start; i < number.length; i += 2) {\n        w = parseHexByte(number, start, i) << off;\n        this.words[j] |= w & 0x3ffffff;\n        if (off >= 18) {\n          off -= 18;\n          j += 1;\n          this.words[j] |= w >>> 26;\n        } else {\n          off += 8;\n        }\n      }\n    }\n\n    this._strip();\n  };\n\n  function parseBase (str, start, end, mul) {\n    var r = 0;\n    var b = 0;\n    var len = Math.min(str.length, end);\n    for (var i = start; i < len; i++) {\n      var c = str.charCodeAt(i) - 48;\n\n      r *= mul;\n\n      // 'a'\n      if (c >= 49) {\n        b = c - 49 + 0xa;\n\n      // 'A'\n      } else if (c >= 17) {\n        b = c - 17 + 0xa;\n\n      // '0' - '9'\n      } else {\n        b = c;\n      }\n      assert(c >= 0 && b < mul, 'Invalid character');\n      r += b;\n    }\n    return r;\n  }\n\n  BN.prototype._parseBase = function _parseBase (number, base, start) {\n    // Initialize as zero\n    this.words = [0];\n    this.length = 1;\n\n    // Find length of limb in base\n    for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {\n      limbLen++;\n    }\n    limbLen--;\n    limbPow = (limbPow / base) | 0;\n\n    var total = number.length - start;\n    var mod = total % limbLen;\n    var end = Math.min(total, total - mod) + start;\n\n    var word = 0;\n    for (var i = start; i < end; i += limbLen) {\n      word = parseBase(number, i, i + limbLen, base);\n\n      this.imuln(limbPow);\n      if (this.words[0] + word < 0x4000000) {\n        this.words[0] += word;\n      } else {\n        this._iaddn(word);\n      }\n    }\n\n    if (mod !== 0) {\n      var pow = 1;\n      word = parseBase(number, i, number.length, base);\n\n      for (i = 0; i < mod; i++) {\n        pow *= base;\n      }\n\n      this.imuln(pow);\n      if (this.words[0] + word < 0x4000000) {\n        this.words[0] += word;\n      } else {\n        this._iaddn(word);\n      }\n    }\n\n    this._strip();\n  };\n\n  BN.prototype.copy = function copy (dest) {\n    dest.words = new Array(this.length);\n    for (var i = 0; i < this.length; i++) {\n      dest.words[i] = this.words[i];\n    }\n    dest.length = this.length;\n    dest.negative = this.negative;\n    dest.red = this.red;\n  };\n\n  function move (dest, src) {\n    dest.words = src.words;\n    dest.length = src.length;\n    dest.negative = src.negative;\n    dest.red = src.red;\n  }\n\n  BN.prototype._move = function _move (dest) {\n    move(dest, this);\n  };\n\n  BN.prototype.clone = function clone () {\n    var r = new BN(null);\n    this.copy(r);\n    return r;\n  };\n\n  BN.prototype._expand = function _expand (size) {\n    while (this.length < size) {\n      this.words[this.length++] = 0;\n    }\n    return this;\n  };\n\n  // Remove leading `0` from `this`\n  BN.prototype._strip = function strip () {\n    while (this.length > 1 && this.words[this.length - 1] === 0) {\n      this.length--;\n    }\n    return this._normSign();\n  };\n\n  BN.prototype._normSign = function _normSign () {\n    // -0 = 0\n    if (this.length === 1 && this.words[0] === 0) {\n      this.negative = 0;\n    }\n    return this;\n  };\n\n  // Check Symbol.for because not everywhere where Symbol defined\n  // See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Symbol#Browser_compatibility\n  if (typeof Symbol !== 'undefined' && typeof Symbol.for === 'function') {\n    try {\n      BN.prototype[Symbol.for('nodejs.util.inspect.custom')] = inspect;\n    } catch (e) {\n      BN.prototype.inspect = inspect;\n    }\n  } else {\n    BN.prototype.inspect = inspect;\n  }\n\n  function inspect () {\n    return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';\n  }\n\n  /*\n\n  var zeros = [];\n  var groupSizes = [];\n  var groupBases = [];\n\n  var s = '';\n  var i = -1;\n  while (++i < BN.wordSize) {\n    zeros[i] = s;\n    s += '0';\n  }\n  groupSizes[0] = 0;\n  groupSizes[1] = 0;\n  groupBases[0] = 0;\n  groupBases[1] = 0;\n  var base = 2 - 1;\n  while (++base < 36 + 1) {\n    var groupSize = 0;\n    var groupBase = 1;\n    while (groupBase < (1 << BN.wordSize) / base) {\n      groupBase *= base;\n      groupSize += 1;\n    }\n    groupSizes[base] = groupSize;\n    groupBases[base] = groupBase;\n  }\n\n  */\n\n  var zeros = [\n    '',\n    '0',\n    '00',\n    '000',\n    '0000',\n    '00000',\n    '000000',\n    '0000000',\n    '00000000',\n    '000000000',\n    '0000000000',\n    '00000000000',\n    '000000000000',\n    '0000000000000',\n    '00000000000000',\n    '000000000000000',\n    '0000000000000000',\n    '00000000000000000',\n    '000000000000000000',\n    '0000000000000000000',\n    '00000000000000000000',\n    '000000000000000000000',\n    '0000000000000000000000',\n    '00000000000000000000000',\n    '000000000000000000000000',\n    '0000000000000000000000000'\n  ];\n\n  var groupSizes = [\n    0, 0,\n    25, 16, 12, 11, 10, 9, 8,\n    8, 7, 7, 7, 7, 6, 6,\n    6, 6, 6, 6, 6, 5, 5,\n    5, 5, 5, 5, 5, 5, 5,\n    5, 5, 5, 5, 5, 5, 5\n  ];\n\n  var groupBases = [\n    0, 0,\n    33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,\n    43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,\n    16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,\n    6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,\n    24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176\n  ];\n\n  BN.prototype.toString = function toString (base, padding) {\n    base = base || 10;\n    padding = padding | 0 || 1;\n\n    var out;\n    if (base === 16 || base === 'hex') {\n      out = '';\n      var off = 0;\n      var carry = 0;\n      for (var i = 0; i < this.length; i++) {\n        var w = this.words[i];\n        var word = (((w << off) | carry) & 0xffffff).toString(16);\n        carry = (w >>> (24 - off)) & 0xffffff;\n        off += 2;\n        if (off >= 26) {\n          off -= 26;\n          i--;\n        }\n        if (carry !== 0 || i !== this.length - 1) {\n          out = zeros[6 - word.length] + word + out;\n        } else {\n          out = word + out;\n        }\n      }\n      if (carry !== 0) {\n        out = carry.toString(16) + out;\n      }\n      while (out.length % padding !== 0) {\n        out = '0' + out;\n      }\n      if (this.negative !== 0) {\n        out = '-' + out;\n      }\n      return out;\n    }\n\n    if (base === (base | 0) && base >= 2 && base <= 36) {\n      // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));\n      var groupSize = groupSizes[base];\n      // var groupBase = Math.pow(base, groupSize);\n      var groupBase = groupBases[base];\n      out = '';\n      var c = this.clone();\n      c.negative = 0;\n      while (!c.isZero()) {\n        var r = c.modrn(groupBase).toString(base);\n        c = c.idivn(groupBase);\n\n        if (!c.isZero()) {\n          out = zeros[groupSize - r.length] + r + out;\n        } else {\n          out = r + out;\n        }\n      }\n      if (this.isZero()) {\n        out = '0' + out;\n      }\n      while (out.length % padding !== 0) {\n        out = '0' + out;\n      }\n      if (this.negative !== 0) {\n        out = '-' + out;\n      }\n      return out;\n    }\n\n    assert(false, 'Base should be between 2 and 36');\n  };\n\n  BN.prototype.toNumber = function toNumber () {\n    var ret = this.words[0];\n    if (this.length === 2) {\n      ret += this.words[1] * 0x4000000;\n    } else if (this.length === 3 && this.words[2] === 0x01) {\n      // NOTE: at this stage it is known that the top bit is set\n      ret += 0x10000000000000 + (this.words[1] * 0x4000000);\n    } else if (this.length > 2) {\n      assert(false, 'Number can only safely store up to 53 bits');\n    }\n    return (this.negative !== 0) ? -ret : ret;\n  };\n\n  BN.prototype.toJSON = function toJSON () {\n    return this.toString(16, 2);\n  };\n\n  if (Buffer) {\n    BN.prototype.toBuffer = function toBuffer (endian, length) {\n      return this.toArrayLike(Buffer, endian, length);\n    };\n  }\n\n  BN.prototype.toArray = function toArray (endian, length) {\n    return this.toArrayLike(Array, endian, length);\n  };\n\n  var allocate = function allocate (ArrayType, size) {\n    if (ArrayType.allocUnsafe) {\n      return ArrayType.allocUnsafe(size);\n    }\n    return new ArrayType(size);\n  };\n\n  BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {\n    this._strip();\n\n    var byteLength = this.byteLength();\n    var reqLength = length || Math.max(1, byteLength);\n    assert(byteLength <= reqLength, 'byte array longer than desired length');\n    assert(reqLength > 0, 'Requested array length <= 0');\n\n    var res = allocate(ArrayType, reqLength);\n    var postfix = endian === 'le' ? 'LE' : 'BE';\n    this['_toArrayLike' + postfix](res, byteLength);\n    return res;\n  };\n\n  BN.prototype._toArrayLikeLE = function _toArrayLikeLE (res, byteLength) {\n    var position = 0;\n    var carry = 0;\n\n    for (var i = 0, shift = 0; i < this.length; i++) {\n      var word = (this.words[i] << shift) | carry;\n\n      res[position++] = word & 0xff;\n      if (position < res.length) {\n        res[position++] = (word >> 8) & 0xff;\n      }\n      if (position < res.length) {\n        res[position++] = (word >> 16) & 0xff;\n      }\n\n      if (shift === 6) {\n        if (position < res.length) {\n          res[position++] = (word >> 24) & 0xff;\n        }\n        carry = 0;\n        shift = 0;\n      } else {\n        carry = word >>> 24;\n        shift += 2;\n      }\n    }\n\n    if (position < res.length) {\n      res[position++] = carry;\n\n      while (position < res.length) {\n        res[position++] = 0;\n      }\n    }\n  };\n\n  BN.prototype._toArrayLikeBE = function _toArrayLikeBE (res, byteLength) {\n    var position = res.length - 1;\n    var carry = 0;\n\n    for (var i = 0, shift = 0; i < this.length; i++) {\n      var word = (this.words[i] << shift) | carry;\n\n      res[position--] = word & 0xff;\n      if (position >= 0) {\n        res[position--] = (word >> 8) & 0xff;\n      }\n      if (position >= 0) {\n        res[position--] = (word >> 16) & 0xff;\n      }\n\n      if (shift === 6) {\n        if (position >= 0) {\n          res[position--] = (word >> 24) & 0xff;\n        }\n        carry = 0;\n        shift = 0;\n      } else {\n        carry = word >>> 24;\n        shift += 2;\n      }\n    }\n\n    if (position >= 0) {\n      res[position--] = carry;\n\n      while (position >= 0) {\n        res[position--] = 0;\n      }\n    }\n  };\n\n  if (Math.clz32) {\n    BN.prototype._countBits = function _countBits (w) {\n      return 32 - Math.clz32(w);\n    };\n  } else {\n    BN.prototype._countBits = function _countBits (w) {\n      var t = w;\n      var r = 0;\n      if (t >= 0x1000) {\n        r += 13;\n        t >>>= 13;\n      }\n      if (t >= 0x40) {\n        r += 7;\n        t >>>= 7;\n      }\n      if (t >= 0x8) {\n        r += 4;\n        t >>>= 4;\n      }\n      if (t >= 0x02) {\n        r += 2;\n        t >>>= 2;\n      }\n      return r + t;\n    };\n  }\n\n  BN.prototype._zeroBits = function _zeroBits (w) {\n    // Short-cut\n    if (w === 0) return 26;\n\n    var t = w;\n    var r = 0;\n    if ((t & 0x1fff) === 0) {\n      r += 13;\n      t >>>= 13;\n    }\n    if ((t & 0x7f) === 0) {\n      r += 7;\n      t >>>= 7;\n    }\n    if ((t & 0xf) === 0) {\n      r += 4;\n      t >>>= 4;\n    }\n    if ((t & 0x3) === 0) {\n      r += 2;\n      t >>>= 2;\n    }\n    if ((t & 0x1) === 0) {\n      r++;\n    }\n    return r;\n  };\n\n  // Return number of used bits in a BN\n  BN.prototype.bitLength = function bitLength () {\n    var w = this.words[this.length - 1];\n    var hi = this._countBits(w);\n    return (this.length - 1) * 26 + hi;\n  };\n\n  function toBitArray (num) {\n    var w = new Array(num.bitLength());\n\n    for (var bit = 0; bit < w.length; bit++) {\n      var off = (bit / 26) | 0;\n      var wbit = bit % 26;\n\n      w[bit] = (num.words[off] >>> wbit) & 0x01;\n    }\n\n    return w;\n  }\n\n  // Number of trailing zero bits\n  BN.prototype.zeroBits = function zeroBits () {\n    if (this.isZero()) return 0;\n\n    var r = 0;\n    for (var i = 0; i < this.length; i++) {\n      var b = this._zeroBits(this.words[i]);\n      r += b;\n      if (b !== 26) break;\n    }\n    return r;\n  };\n\n  BN.prototype.byteLength = function byteLength () {\n    return Math.ceil(this.bitLength() / 8);\n  };\n\n  BN.prototype.toTwos = function toTwos (width) {\n    if (this.negative !== 0) {\n      return this.abs().inotn(width).iaddn(1);\n    }\n    return this.clone();\n  };\n\n  BN.prototype.fromTwos = function fromTwos (width) {\n    if (this.testn(width - 1)) {\n      return this.notn(width).iaddn(1).ineg();\n    }\n    return this.clone();\n  };\n\n  BN.prototype.isNeg = function isNeg () {\n    return this.negative !== 0;\n  };\n\n  // Return negative clone of `this`\n  BN.prototype.neg = function neg () {\n    return this.clone().ineg();\n  };\n\n  BN.prototype.ineg = function ineg () {\n    if (!this.isZero()) {\n      this.negative ^= 1;\n    }\n\n    return this;\n  };\n\n  // Or `num` with `this` in-place\n  BN.prototype.iuor = function iuor (num) {\n    while (this.length < num.length) {\n      this.words[this.length++] = 0;\n    }\n\n    for (var i = 0; i < num.length; i++) {\n      this.words[i] = this.words[i] | num.words[i];\n    }\n\n    return this._strip();\n  };\n\n  BN.prototype.ior = function ior (num) {\n    assert((this.negative | num.negative) === 0);\n    return this.iuor(num);\n  };\n\n  // Or `num` with `this`\n  BN.prototype.or = function or (num) {\n    if (this.length > num.length) return this.clone().ior(num);\n    return num.clone().ior(this);\n  };\n\n  BN.prototype.uor = function uor (num) {\n    if (this.length > num.length) return this.clone().iuor(num);\n    return num.clone().iuor(this);\n  };\n\n  // And `num` with `this` in-place\n  BN.prototype.iuand = function iuand (num) {\n    // b = min-length(num, this)\n    var b;\n    if (this.length > num.length) {\n      b = num;\n    } else {\n      b = this;\n    }\n\n    for (var i = 0; i < b.length; i++) {\n      this.words[i] = this.words[i] & num.words[i];\n    }\n\n    this.length = b.length;\n\n    return this._strip();\n  };\n\n  BN.prototype.iand = function iand (num) {\n    assert((this.negative | num.negative) === 0);\n    return this.iuand(num);\n  };\n\n  // And `num` with `this`\n  BN.prototype.and = function and (num) {\n    if (this.length > num.length) return this.clone().iand(num);\n    return num.clone().iand(this);\n  };\n\n  BN.prototype.uand = function uand (num) {\n    if (this.length > num.length) return this.clone().iuand(num);\n    return num.clone().iuand(this);\n  };\n\n  // Xor `num` with `this` in-place\n  BN.prototype.iuxor = function iuxor (num) {\n    // a.length > b.length\n    var a;\n    var b;\n    if (this.length > num.length) {\n      a = this;\n      b = num;\n    } else {\n      a = num;\n      b = this;\n    }\n\n    for (var i = 0; i < b.length; i++) {\n      this.words[i] = a.words[i] ^ b.words[i];\n    }\n\n    if (this !== a) {\n      for (; i < a.length; i++) {\n        this.words[i] = a.words[i];\n      }\n    }\n\n    this.length = a.length;\n\n    return this._strip();\n  };\n\n  BN.prototype.ixor = function ixor (num) {\n    assert((this.negative | num.negative) === 0);\n    return this.iuxor(num);\n  };\n\n  // Xor `num` with `this`\n  BN.prototype.xor = function xor (num) {\n    if (this.length > num.length) return this.clone().ixor(num);\n    return num.clone().ixor(this);\n  };\n\n  BN.prototype.uxor = function uxor (num) {\n    if (this.length > num.length) return this.clone().iuxor(num);\n    return num.clone().iuxor(this);\n  };\n\n  // Not ``this`` with ``width`` bitwidth\n  BN.prototype.inotn = function inotn (width) {\n    assert(typeof width === 'number' && width >= 0);\n\n    var bytesNeeded = Math.ceil(width / 26) | 0;\n    var bitsLeft = width % 26;\n\n    // Extend the buffer with leading zeroes\n    this._expand(bytesNeeded);\n\n    if (bitsLeft > 0) {\n      bytesNeeded--;\n    }\n\n    // Handle complete words\n    for (var i = 0; i < bytesNeeded; i++) {\n      this.words[i] = ~this.words[i] & 0x3ffffff;\n    }\n\n    // Handle the residue\n    if (bitsLeft > 0) {\n      this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));\n      i++;\n    }\n\n    // Clear words above the requested width so the result stays below 2 ** width\n    for (; i < this.length; i++) {\n      this.words[i] = 0;\n    }\n\n    // And remove leading zeroes\n    return this._strip();\n  };\n\n  BN.prototype.notn = function notn (width) {\n    return this.clone().inotn(width);\n  };\n\n  // Set `bit` of `this`\n  BN.prototype.setn = function setn (bit, val) {\n    assert(typeof bit === 'number' && bit >= 0);\n\n    var off = (bit / 26) | 0;\n    var wbit = bit % 26;\n\n    this._expand(off + 1);\n\n    if (val) {\n      this.words[off] = this.words[off] | (1 << wbit);\n    } else {\n      this.words[off] = this.words[off] & ~(1 << wbit);\n    }\n\n    return this._strip();\n  };\n\n  // Add `num` to `this` in-place\n  BN.prototype.iadd = function iadd (num) {\n    var r;\n\n    // negative + positive\n    if (this.negative !== 0 && num.negative === 0) {\n      this.negative = 0;\n      r = this.isub(num);\n      this.negative ^= 1;\n      return this._normSign();\n\n    // positive + negative\n    } else if (this.negative === 0 && num.negative !== 0) {\n      num.negative = 0;\n      r = this.isub(num);\n      num.negative = 1;\n      return r._normSign();\n    }\n\n    // a.length > b.length\n    var a, b;\n    if (this.length > num.length) {\n      a = this;\n      b = num;\n    } else {\n      a = num;\n      b = this;\n    }\n\n    var carry = 0;\n    for (var i = 0; i < b.length; i++) {\n      r = (a.words[i] | 0) + (b.words[i] | 0) + carry;\n      this.words[i] = r & 0x3ffffff;\n      carry = r >>> 26;\n    }\n    for (; carry !== 0 && i < a.length; i++) {\n      r = (a.words[i] | 0) + carry;\n      this.words[i] = r & 0x3ffffff;\n      carry = r >>> 26;\n    }\n\n    this.length = a.length;\n    if (carry !== 0) {\n      this.words[this.length] = carry;\n      this.length++;\n    // Copy the rest of the words\n    } else if (a !== this) {\n      for (; i < a.length; i++) {\n        this.words[i] = a.words[i];\n      }\n    }\n\n    return this;\n  };\n\n  // Add `num` to `this`\n  BN.prototype.add = function add (num) {\n    var res;\n    if (num.negative !== 0 && this.negative === 0) {\n      num.negative = 0;\n      res = this.sub(num);\n      num.negative ^= 1;\n      return res;\n    } else if (num.negative === 0 && this.negative !== 0) {\n      this.negative = 0;\n      res = num.sub(this);\n      this.negative = 1;\n      return res;\n    }\n\n    if (this.length > num.length) return this.clone().iadd(num);\n\n    return num.clone().iadd(this);\n  };\n\n  // Subtract `num` from `this` in-place\n  BN.prototype.isub = function isub (num) {\n    // this - (-num) = this + num\n    if (num.negative !== 0) {\n      num.negative = 0;\n      var r = this.iadd(num);\n      num.negative = 1;\n      return r._normSign();\n\n    // -this - num = -(this + num)\n    } else if (this.negative !== 0) {\n      this.negative = 0;\n      this.iadd(num);\n      this.negative = 1;\n      return this._normSign();\n    }\n\n    // At this point both numbers are positive\n    var cmp = this.cmp(num);\n\n    // Optimization - zeroify\n    if (cmp === 0) {\n      this.negative = 0;\n      this.length = 1;\n      this.words[0] = 0;\n      return this;\n    }\n\n    // a > b\n    var a, b;\n    if (cmp > 0) {\n      a = this;\n      b = num;\n    } else {\n      a = num;\n      b = this;\n    }\n\n    var carry = 0;\n    for (var i = 0; i < b.length; i++) {\n      r = (a.words[i] | 0) - (b.words[i] | 0) + carry;\n      carry = r >> 26;\n      this.words[i] = r & 0x3ffffff;\n    }\n    for (; carry !== 0 && i < a.length; i++) {\n      r = (a.words[i] | 0) + carry;\n      carry = r >> 26;\n      this.words[i] = r & 0x3ffffff;\n    }\n\n    // Copy rest of the words\n    if (carry === 0 && i < a.length && a !== this) {\n      for (; i < a.length; i++) {\n        this.words[i] = a.words[i];\n      }\n    }\n\n    this.length = Math.max(this.length, i);\n\n    if (a !== this) {\n      this.negative = 1;\n    }\n\n    return this._strip();\n  };\n\n  // Subtract `num` from `this`\n  BN.prototype.sub = function sub (num) {\n    return this.clone().isub(num);\n  };\n\n  function smallMulTo (self, num, out) {\n    out.negative = num.negative ^ self.negative;\n    var len = (self.length + num.length) | 0;\n    out.length = len;\n    len = (len - 1) | 0;\n\n    // Peel one iteration (compiler can't do it, because of code complexity)\n    var a = self.words[0] | 0;\n    var b = num.words[0] | 0;\n    var r = a * b;\n\n    var lo = r & 0x3ffffff;\n    var carry = (r / 0x4000000) | 0;\n    out.words[0] = lo;\n\n    for (var k = 1; k < len; k++) {\n      // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n      // note that ncarry could be >= 0x3ffffff\n      var ncarry = carry >>> 26;\n      var rword = carry & 0x3ffffff;\n      var maxJ = Math.min(k, num.length - 1);\n      for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n        var i = (k - j) | 0;\n        a = self.words[i] | 0;\n        b = num.words[j] | 0;\n        r = a * b + rword;\n        ncarry += (r / 0x4000000) | 0;\n        rword = r & 0x3ffffff;\n      }\n      out.words[k] = rword | 0;\n      carry = ncarry | 0;\n    }\n    if (carry !== 0) {\n      out.words[k] = carry | 0;\n    } else {\n      out.length--;\n    }\n\n    return out._strip();\n  }\n\n  // TODO(indutny): it may be reasonable to omit it for users who don't need\n  // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit\n  // multiplication (like elliptic secp256k1).\n  var comb10MulTo = function comb10MulTo (self, num, out) {\n    var a = self.words;\n    var b = num.words;\n    var o = out.words;\n    var c = 0;\n    var lo;\n    var mid;\n    var hi;\n    var a0 = a[0] | 0;\n    var al0 = a0 & 0x1fff;\n    var ah0 = a0 >>> 13;\n    var a1 = a[1] | 0;\n    var al1 = a1 & 0x1fff;\n    var ah1 = a1 >>> 13;\n    var a2 = a[2] | 0;\n    var al2 = a2 & 0x1fff;\n    var ah2 = a2 >>> 13;\n    var a3 = a[3] | 0;\n    var al3 = a3 & 0x1fff;\n    var ah3 = a3 >>> 13;\n    var a4 = a[4] | 0;\n    var al4 = a4 & 0x1fff;\n    var ah4 = a4 >>> 13;\n    var a5 = a[5] | 0;\n    var al5 = a5 & 0x1fff;\n    var ah5 = a5 >>> 13;\n    var a6 = a[6] | 0;\n    var al6 = a6 & 0x1fff;\n    var ah6 = a6 >>> 13;\n    var a7 = a[7] | 0;\n    var al7 = a7 & 0x1fff;\n    var ah7 = a7 >>> 13;\n    var a8 = a[8] | 0;\n    var al8 = a8 & 0x1fff;\n    var ah8 = a8 >>> 13;\n    var a9 = a[9] | 0;\n    var al9 = a9 & 0x1fff;\n    var ah9 = a9 >>> 13;\n    var b0 = b[0] | 0;\n    var bl0 = b0 & 0x1fff;\n    var bh0 = b0 >>> 13;\n    var b1 = b[1] | 0;\n    var bl1 = b1 & 0x1fff;\n    var bh1 = b1 >>> 13;\n    var b2 = b[2] | 0;\n    var bl2 = b2 & 0x1fff;\n    var bh2 = b2 >>> 13;\n    var b3 = b[3] | 0;\n    var bl3 = b3 & 0x1fff;\n    var bh3 = b3 >>> 13;\n    var b4 = b[4] | 0;\n    var bl4 = b4 & 0x1fff;\n    var bh4 = b4 >>> 13;\n    var b5 = b[5] | 0;\n    var bl5 = b5 & 0x1fff;\n    var bh5 = b5 >>> 13;\n    var b6 = b[6] | 0;\n    var bl6 = b6 & 0x1fff;\n    var bh6 = b6 >>> 13;\n    var b7 = b[7] | 0;\n    var bl7 = b7 & 0x1fff;\n    var bh7 = b7 >>> 13;\n    var b8 = b[8] | 0;\n    var bl8 = b8 & 0x1fff;\n    var bh8 = b8 >>> 13;\n    var b9 = b[9] | 0;\n    var bl9 = b9 & 0x1fff;\n    var bh9 = b9 >>> 13;\n\n    out.negative = self.negative ^ num.negative;\n    out.length = 19;\n    /* k = 0 */\n    lo = Math.imul(al0, bl0);\n    mid = Math.imul(al0, bh0);\n    mid = (mid + Math.imul(ah0, bl0)) | 0;\n    hi = Math.imul(ah0, bh0);\n    var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;\n    w0 &= 0x3ffffff;\n    /* k = 1 */\n    lo = Math.imul(al1, bl0);\n    mid = Math.imul(al1, bh0);\n    mid = (mid + Math.imul(ah1, bl0)) | 0;\n    hi = Math.imul(ah1, bh0);\n    lo = (lo + Math.imul(al0, bl1)) | 0;\n    mid = (mid + Math.imul(al0, bh1)) | 0;\n    mid = (mid + Math.imul(ah0, bl1)) | 0;\n    hi = (hi + Math.imul(ah0, bh1)) | 0;\n    var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;\n    w1 &= 0x3ffffff;\n    /* k = 2 */\n    lo = Math.imul(al2, bl0);\n    mid = Math.imul(al2, bh0);\n    mid = (mid + Math.imul(ah2, bl0)) | 0;\n    hi = Math.imul(ah2, bh0);\n    lo = (lo + Math.imul(al1, bl1)) | 0;\n    mid = (mid + Math.imul(al1, bh1)) | 0;\n    mid = (mid + Math.imul(ah1, bl1)) | 0;\n    hi = (hi + Math.imul(ah1, bh1)) | 0;\n    lo = (lo + Math.imul(al0, bl2)) | 0;\n    mid = (mid + Math.imul(al0, bh2)) | 0;\n    mid = (mid + Math.imul(ah0, bl2)) | 0;\n    hi = (hi + Math.imul(ah0, bh2)) | 0;\n    var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;\n    w2 &= 0x3ffffff;\n    /* k = 3 */\n    lo = Math.imul(al3, bl0);\n    mid = Math.imul(al3, bh0);\n    mid = (mid + Math.imul(ah3, bl0)) | 0;\n    hi = Math.imul(ah3, bh0);\n    lo = (lo + Math.imul(al2, bl1)) | 0;\n    mid = (mid + Math.imul(al2, bh1)) | 0;\n    mid = (mid + Math.imul(ah2, bl1)) | 0;\n    hi = (hi + Math.imul(ah2, bh1)) | 0;\n    lo = (lo + Math.imul(al1, bl2)) | 0;\n    mid = (mid + Math.imul(al1, bh2)) | 0;\n    mid = (mid + Math.imul(ah1, bl2)) | 0;\n    hi = (hi + Math.imul(ah1, bh2)) | 0;\n    lo = (lo + Math.imul(al0, bl3)) | 0;\n    mid = (mid + Math.imul(al0, bh3)) | 0;\n    mid = (mid + Math.imul(ah0, bl3)) | 0;\n    hi = (hi + Math.imul(ah0, bh3)) | 0;\n    var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;\n    w3 &= 0x3ffffff;\n    /* k = 4 */\n    lo = Math.imul(al4, bl0);\n    mid = Math.imul(al4, bh0);\n    mid = (mid + Math.imul(ah4, bl0)) | 0;\n    hi = Math.imul(ah4, bh0);\n    lo = (lo + Math.imul(al3, bl1)) | 0;\n    mid = (mid + Math.imul(al3, bh1)) | 0;\n    mid = (mid + Math.imul(ah3, bl1)) | 0;\n    hi = (hi + Math.imul(ah3, bh1)) | 0;\n    lo = (lo + Math.imul(al2, bl2)) | 0;\n    mid = (mid + Math.imul(al2, bh2)) | 0;\n    mid = (mid + Math.imul(ah2, bl2)) | 0;\n    hi = (hi + Math.imul(ah2, bh2)) | 0;\n    lo = (lo + Math.imul(al1, bl3)) | 0;\n    mid = (mid + Math.imul(al1, bh3)) | 0;\n    mid = (mid + Math.imul(ah1, bl3)) | 0;\n    hi = (hi + Math.imul(ah1, bh3)) | 0;\n    lo = (lo + Math.imul(al0, bl4)) | 0;\n    mid = (mid + Math.imul(al0, bh4)) | 0;\n    mid = (mid + Math.imul(ah0, bl4)) | 0;\n    hi = (hi + Math.imul(ah0, bh4)) | 0;\n    var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;\n    w4 &= 0x3ffffff;\n    /* k = 5 */\n    lo = Math.imul(al5, bl0);\n    mid = Math.imul(al5, bh0);\n    mid = (mid + Math.imul(ah5, bl0)) | 0;\n    hi = Math.imul(ah5, bh0);\n    lo = (lo + Math.imul(al4, bl1)) | 0;\n    mid = (mid + Math.imul(al4, bh1)) | 0;\n    mid = (mid + Math.imul(ah4, bl1)) | 0;\n    hi = (hi + Math.imul(ah4, bh1)) | 0;\n    lo = (lo + Math.imul(al3, bl2)) | 0;\n    mid = (mid + Math.imul(al3, bh2)) | 0;\n    mid = (mid + Math.imul(ah3, bl2)) | 0;\n    hi = (hi + Math.imul(ah3, bh2)) | 0;\n    lo = (lo + Math.imul(al2, bl3)) | 0;\n    mid = (mid + Math.imul(al2, bh3)) | 0;\n    mid = (mid + Math.imul(ah2, bl3)) | 0;\n    hi = (hi + Math.imul(ah2, bh3)) | 0;\n    lo = (lo + Math.imul(al1, bl4)) | 0;\n    mid = (mid + Math.imul(al1, bh4)) | 0;\n    mid = (mid + Math.imul(ah1, bl4)) | 0;\n    hi = (hi + Math.imul(ah1, bh4)) | 0;\n    lo = (lo + Math.imul(al0, bl5)) | 0;\n    mid = (mid + Math.imul(al0, bh5)) | 0;\n    mid = (mid + Math.imul(ah0, bl5)) | 0;\n    hi = (hi + Math.imul(ah0, bh5)) | 0;\n    var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;\n    w5 &= 0x3ffffff;\n    /* k = 6 */\n    lo = Math.imul(al6, bl0);\n    mid = Math.imul(al6, bh0);\n    mid = (mid + Math.imul(ah6, bl0)) | 0;\n    hi = Math.imul(ah6, bh0);\n    lo = (lo + Math.imul(al5, bl1)) | 0;\n    mid = (mid + Math.imul(al5, bh1)) | 0;\n    mid = (mid + Math.imul(ah5, bl1)) | 0;\n    hi = (hi + Math.imul(ah5, bh1)) | 0;\n    lo = (lo + Math.imul(al4, bl2)) | 0;\n    mid = (mid + Math.imul(al4, bh2)) | 0;\n    mid = (mid + Math.imul(ah4, bl2)) | 0;\n    hi = (hi + Math.imul(ah4, bh2)) | 0;\n    lo = (lo + Math.imul(al3, bl3)) | 0;\n    mid = (mid + Math.imul(al3, bh3)) | 0;\n    mid = (mid + Math.imul(ah3, bl3)) | 0;\n    hi = (hi + Math.imul(ah3, bh3)) | 0;\n    lo = (lo + Math.imul(al2, bl4)) | 0;\n    mid = (mid + Math.imul(al2, bh4)) | 0;\n    mid = (mid + Math.imul(ah2, bl4)) | 0;\n    hi = (hi + Math.imul(ah2, bh4)) | 0;\n    lo = (lo + Math.imul(al1, bl5)) | 0;\n    mid = (mid + Math.imul(al1, bh5)) | 0;\n    mid = (mid + Math.imul(ah1, bl5)) | 0;\n    hi = (hi + Math.imul(ah1, bh5)) | 0;\n    lo = (lo + Math.imul(al0, bl6)) | 0;\n    mid = (mid + Math.imul(al0, bh6)) | 0;\n    mid = (mid + Math.imul(ah0, bl6)) | 0;\n    hi = (hi + Math.imul(ah0, bh6)) | 0;\n    var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;\n    w6 &= 0x3ffffff;\n    /* k = 7 */\n    lo = Math.imul(al7, bl0);\n    mid = Math.imul(al7, bh0);\n    mid = (mid + Math.imul(ah7, bl0)) | 0;\n    hi = Math.imul(ah7, bh0);\n    lo = (lo + Math.imul(al6, bl1)) | 0;\n    mid = (mid + Math.imul(al6, bh1)) | 0;\n    mid = (mid + Math.imul(ah6, bl1)) | 0;\n    hi = (hi + Math.imul(ah6, bh1)) | 0;\n    lo = (lo + Math.imul(al5, bl2)) | 0;\n    mid = (mid + Math.imul(al5, bh2)) | 0;\n    mid = (mid + Math.imul(ah5, bl2)) | 0;\n    hi = (hi + Math.imul(ah5, bh2)) | 0;\n    lo = (lo + Math.imul(al4, bl3)) | 0;\n    mid = (mid + Math.imul(al4, bh3)) | 0;\n    mid = (mid + Math.imul(ah4, bl3)) | 0;\n    hi = (hi + Math.imul(ah4, bh3)) | 0;\n    lo = (lo + Math.imul(al3, bl4)) | 0;\n    mid = (mid + Math.imul(al3, bh4)) | 0;\n    mid = (mid + Math.imul(ah3, bl4)) | 0;\n    hi = (hi + Math.imul(ah3, bh4)) | 0;\n    lo = (lo + Math.imul(al2, bl5)) | 0;\n    mid = (mid + Math.imul(al2, bh5)) | 0;\n    mid = (mid + Math.imul(ah2, bl5)) | 0;\n    hi = (hi + Math.imul(ah2, bh5)) | 0;\n    lo = (lo + Math.imul(al1, bl6)) | 0;\n    mid = (mid + Math.imul(al1, bh6)) | 0;\n    mid = (mid + Math.imul(ah1, bl6)) | 0;\n    hi = (hi + Math.imul(ah1, bh6)) | 0;\n    lo = (lo + Math.imul(al0, bl7)) | 0;\n    mid = (mid + Math.imul(al0, bh7)) | 0;\n    mid = (mid + Math.imul(ah0, bl7)) | 0;\n    hi = (hi + Math.imul(ah0, bh7)) | 0;\n    var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;\n    w7 &= 0x3ffffff;\n    /* k = 8 */\n    lo = Math.imul(al8, bl0);\n    mid = Math.imul(al8, bh0);\n    mid = (mid + Math.imul(ah8, bl0)) | 0;\n    hi = Math.imul(ah8, bh0);\n    lo = (lo + Math.imul(al7, bl1)) | 0;\n    mid = (mid + Math.imul(al7, bh1)) | 0;\n    mid = (mid + Math.imul(ah7, bl1)) | 0;\n    hi = (hi + Math.imul(ah7, bh1)) | 0;\n    lo = (lo + Math.imul(al6, bl2)) | 0;\n    mid = (mid + Math.imul(al6, bh2)) | 0;\n    mid = (mid + Math.imul(ah6, bl2)) | 0;\n    hi = (hi + Math.imul(ah6, bh2)) | 0;\n    lo = (lo + Math.imul(al5, bl3)) | 0;\n    mid = (mid + Math.imul(al5, bh3)) | 0;\n    mid = (mid + Math.imul(ah5, bl3)) | 0;\n    hi = (hi + Math.imul(ah5, bh3)) | 0;\n    lo = (lo + Math.imul(al4, bl4)) | 0;\n    mid = (mid + Math.imul(al4, bh4)) | 0;\n    mid = (mid + Math.imul(ah4, bl4)) | 0;\n    hi = (hi + Math.imul(ah4, bh4)) | 0;\n    lo = (lo + Math.imul(al3, bl5)) | 0;\n    mid = (mid + Math.imul(al3, bh5)) | 0;\n    mid = (mid + Math.imul(ah3, bl5)) | 0;\n    hi = (hi + Math.imul(ah3, bh5)) | 0;\n    lo = (lo + Math.imul(al2, bl6)) | 0;\n    mid = (mid + Math.imul(al2, bh6)) | 0;\n    mid = (mid + Math.imul(ah2, bl6)) | 0;\n    hi = (hi + Math.imul(ah2, bh6)) | 0;\n    lo = (lo + Math.imul(al1, bl7)) | 0;\n    mid = (mid + Math.imul(al1, bh7)) | 0;\n    mid = (mid + Math.imul(ah1, bl7)) | 0;\n    hi = (hi + Math.imul(ah1, bh7)) | 0;\n    lo = (lo + Math.imul(al0, bl8)) | 0;\n    mid = (mid + Math.imul(al0, bh8)) | 0;\n    mid = (mid + Math.imul(ah0, bl8)) | 0;\n    hi = (hi + Math.imul(ah0, bh8)) | 0;\n    var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;\n    w8 &= 0x3ffffff;\n    /* k = 9 */\n    lo = Math.imul(al9, bl0);\n    mid = Math.imul(al9, bh0);\n    mid = (mid + Math.imul(ah9, bl0)) | 0;\n    hi = Math.imul(ah9, bh0);\n    lo = (lo + Math.imul(al8, bl1)) | 0;\n    mid = (mid + Math.imul(al8, bh1)) | 0;\n    mid = (mid + Math.imul(ah8, bl1)) | 0;\n    hi = (hi + Math.imul(ah8, bh1)) | 0;\n    lo = (lo + Math.imul(al7, bl2)) | 0;\n    mid = (mid + Math.imul(al7, bh2)) | 0;\n    mid = (mid + Math.imul(ah7, bl2)) | 0;\n    hi = (hi + Math.imul(ah7, bh2)) | 0;\n    lo = (lo + Math.imul(al6, bl3)) | 0;\n    mid = (mid + Math.imul(al6, bh3)) | 0;\n    mid = (mid + Math.imul(ah6, bl3)) | 0;\n    hi = (hi + Math.imul(ah6, bh3)) | 0;\n    lo = (lo + Math.imul(al5, bl4)) | 0;\n    mid = (mid + Math.imul(al5, bh4)) | 0;\n    mid = (mid + Math.imul(ah5, bl4)) | 0;\n    hi = (hi + Math.imul(ah5, bh4)) | 0;\n    lo = (lo + Math.imul(al4, bl5)) | 0;\n    mid = (mid + Math.imul(al4, bh5)) | 0;\n    mid = (mid + Math.imul(ah4, bl5)) | 0;\n    hi = (hi + Math.imul(ah4, bh5)) | 0;\n    lo = (lo + Math.imul(al3, bl6)) | 0;\n    mid = (mid + Math.imul(al3, bh6)) | 0;\n    mid = (mid + Math.imul(ah3, bl6)) | 0;\n    hi = (hi + Math.imul(ah3, bh6)) | 0;\n    lo = (lo + Math.imul(al2, bl7)) | 0;\n    mid = (mid + Math.imul(al2, bh7)) | 0;\n    mid = (mid + Math.imul(ah2, bl7)) | 0;\n    hi = (hi + Math.imul(ah2, bh7)) | 0;\n    lo = (lo + Math.imul(al1, bl8)) | 0;\n    mid = (mid + Math.imul(al1, bh8)) | 0;\n    mid = (mid + Math.imul(ah1, bl8)) | 0;\n    hi = (hi + Math.imul(ah1, bh8)) | 0;\n    lo = (lo + Math.imul(al0, bl9)) | 0;\n    mid = (mid + Math.imul(al0, bh9)) | 0;\n    mid = (mid + Math.imul(ah0, bl9)) | 0;\n    hi = (hi + Math.imul(ah0, bh9)) | 0;\n    var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;\n    w9 &= 0x3ffffff;\n    /* k = 10 */\n    lo = Math.imul(al9, bl1);\n    mid = Math.imul(al9, bh1);\n    mid = (mid + Math.imul(ah9, bl1)) | 0;\n    hi = Math.imul(ah9, bh1);\n    lo = (lo + Math.imul(al8, bl2)) | 0;\n    mid = (mid + Math.imul(al8, bh2)) | 0;\n    mid = (mid + Math.imul(ah8, bl2)) | 0;\n    hi = (hi + Math.imul(ah8, bh2)) | 0;\n    lo = (lo + Math.imul(al7, bl3)) | 0;\n    mid = (mid + Math.imul(al7, bh3)) | 0;\n    mid = (mid + Math.imul(ah7, bl3)) | 0;\n    hi = (hi + Math.imul(ah7, bh3)) | 0;\n    lo = (lo + Math.imul(al6, bl4)) | 0;\n    mid = (mid + Math.imul(al6, bh4)) | 0;\n    mid = (mid + Math.imul(ah6, bl4)) | 0;\n    hi = (hi + Math.imul(ah6, bh4)) | 0;\n    lo = (lo + Math.imul(al5, bl5)) | 0;\n    mid = (mid + Math.imul(al5, bh5)) | 0;\n    mid = (mid + Math.imul(ah5, bl5)) | 0;\n    hi = (hi + Math.imul(ah5, bh5)) | 0;\n    lo = (lo + Math.imul(al4, bl6)) | 0;\n    mid = (mid + Math.imul(al4, bh6)) | 0;\n    mid = (mid + Math.imul(ah4, bl6)) | 0;\n    hi = (hi + Math.imul(ah4, bh6)) | 0;\n    lo = (lo + Math.imul(al3, bl7)) | 0;\n    mid = (mid + Math.imul(al3, bh7)) | 0;\n    mid = (mid + Math.imul(ah3, bl7)) | 0;\n    hi = (hi + Math.imul(ah3, bh7)) | 0;\n    lo = (lo + Math.imul(al2, bl8)) | 0;\n    mid = (mid + Math.imul(al2, bh8)) | 0;\n    mid = (mid + Math.imul(ah2, bl8)) | 0;\n    hi = (hi + Math.imul(ah2, bh8)) | 0;\n    lo = (lo + Math.imul(al1, bl9)) | 0;\n    mid = (mid + Math.imul(al1, bh9)) | 0;\n    mid = (mid + Math.imul(ah1, bl9)) | 0;\n    hi = (hi + Math.imul(ah1, bh9)) | 0;\n    var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;\n    w10 &= 0x3ffffff;\n    /* k = 11 */\n    lo = Math.imul(al9, bl2);\n    mid = Math.imul(al9, bh2);\n    mid = (mid + Math.imul(ah9, bl2)) | 0;\n    hi = Math.imul(ah9, bh2);\n    lo = (lo + Math.imul(al8, bl3)) | 0;\n    mid = (mid + Math.imul(al8, bh3)) | 0;\n    mid = (mid + Math.imul(ah8, bl3)) | 0;\n    hi = (hi + Math.imul(ah8, bh3)) | 0;\n    lo = (lo + Math.imul(al7, bl4)) | 0;\n    mid = (mid + Math.imul(al7, bh4)) | 0;\n    mid = (mid + Math.imul(ah7, bl4)) | 0;\n    hi = (hi + Math.imul(ah7, bh4)) | 0;\n    lo = (lo + Math.imul(al6, bl5)) | 0;\n    mid = (mid + Math.imul(al6, bh5)) | 0;\n    mid = (mid + Math.imul(ah6, bl5)) | 0;\n    hi = (hi + Math.imul(ah6, bh5)) | 0;\n    lo = (lo + Math.imul(al5, bl6)) | 0;\n    mid = (mid + Math.imul(al5, bh6)) | 0;\n    mid = (mid + Math.imul(ah5, bl6)) | 0;\n    hi = (hi + Math.imul(ah5, bh6)) | 0;\n    lo = (lo + Math.imul(al4, bl7)) | 0;\n    mid = (mid + Math.imul(al4, bh7)) | 0;\n    mid = (mid + Math.imul(ah4, bl7)) | 0;\n    hi = (hi + Math.imul(ah4, bh7)) | 0;\n    lo = (lo + Math.imul(al3, bl8)) | 0;\n    mid = (mid + Math.imul(al3, bh8)) | 0;\n    mid = (mid + Math.imul(ah3, bl8)) | 0;\n    hi = (hi + Math.imul(ah3, bh8)) | 0;\n    lo = (lo + Math.imul(al2, bl9)) | 0;\n    mid = (mid + Math.imul(al2, bh9)) | 0;\n    mid = (mid + Math.imul(ah2, bl9)) | 0;\n    hi = (hi + Math.imul(ah2, bh9)) | 0;\n    var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;\n    w11 &= 0x3ffffff;\n    /* k = 12 */\n    lo = Math.imul(al9, bl3);\n    mid = Math.imul(al9, bh3);\n    mid = (mid + Math.imul(ah9, bl3)) | 0;\n    hi = Math.imul(ah9, bh3);\n    lo = (lo + Math.imul(al8, bl4)) | 0;\n    mid = (mid + Math.imul(al8, bh4)) | 0;\n    mid = (mid + Math.imul(ah8, bl4)) | 0;\n    hi = (hi + Math.imul(ah8, bh4)) | 0;\n    lo = (lo + Math.imul(al7, bl5)) | 0;\n    mid = (mid + Math.imul(al7, bh5)) | 0;\n    mid = (mid + Math.imul(ah7, bl5)) | 0;\n    hi = (hi + Math.imul(ah7, bh5)) | 0;\n    lo = (lo + Math.imul(al6, bl6)) | 0;\n    mid = (mid + Math.imul(al6, bh6)) | 0;\n    mid = (mid + Math.imul(ah6, bl6)) | 0;\n    hi = (hi + Math.imul(ah6, bh6)) | 0;\n    lo = (lo + Math.imul(al5, bl7)) | 0;\n    mid = (mid + Math.imul(al5, bh7)) | 0;\n    mid = (mid + Math.imul(ah5, bl7)) | 0;\n    hi = (hi + Math.imul(ah5, bh7)) | 0;\n    lo = (lo + Math.imul(al4, bl8)) | 0;\n    mid = (mid + Math.imul(al4, bh8)) | 0;\n    mid = (mid + Math.imul(ah4, bl8)) | 0;\n    hi = (hi + Math.imul(ah4, bh8)) | 0;\n    lo = (lo + Math.imul(al3, bl9)) | 0;\n    mid = (mid + Math.imul(al3, bh9)) | 0;\n    mid = (mid + Math.imul(ah3, bl9)) | 0;\n    hi = (hi + Math.imul(ah3, bh9)) | 0;\n    var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;\n    w12 &= 0x3ffffff;\n    /* k = 13 */\n    lo = Math.imul(al9, bl4);\n    mid = Math.imul(al9, bh4);\n    mid = (mid + Math.imul(ah9, bl4)) | 0;\n    hi = Math.imul(ah9, bh4);\n    lo = (lo + Math.imul(al8, bl5)) | 0;\n    mid = (mid + Math.imul(al8, bh5)) | 0;\n    mid = (mid + Math.imul(ah8, bl5)) | 0;\n    hi = (hi + Math.imul(ah8, bh5)) | 0;\n    lo = (lo + Math.imul(al7, bl6)) | 0;\n    mid = (mid + Math.imul(al7, bh6)) | 0;\n    mid = (mid + Math.imul(ah7, bl6)) | 0;\n    hi = (hi + Math.imul(ah7, bh6)) | 0;\n    lo = (lo + Math.imul(al6, bl7)) | 0;\n    mid = (mid + Math.imul(al6, bh7)) | 0;\n    mid = (mid + Math.imul(ah6, bl7)) | 0;\n    hi = (hi + Math.imul(ah6, bh7)) | 0;\n    lo = (lo + Math.imul(al5, bl8)) | 0;\n    mid = (mid + Math.imul(al5, bh8)) | 0;\n    mid = (mid + Math.imul(ah5, bl8)) | 0;\n    hi = (hi + Math.imul(ah5, bh8)) | 0;\n    lo = (lo + Math.imul(al4, bl9)) | 0;\n    mid = (mid + Math.imul(al4, bh9)) | 0;\n    mid = (mid + Math.imul(ah4, bl9)) | 0;\n    hi = (hi + Math.imul(ah4, bh9)) | 0;\n    var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;\n    w13 &= 0x3ffffff;\n    /* k = 14 */\n    lo = Math.imul(al9, bl5);\n    mid = Math.imul(al9, bh5);\n    mid = (mid + Math.imul(ah9, bl5)) | 0;\n    hi = Math.imul(ah9, bh5);\n    lo = (lo + Math.imul(al8, bl6)) | 0;\n    mid = (mid + Math.imul(al8, bh6)) | 0;\n    mid = (mid + Math.imul(ah8, bl6)) | 0;\n    hi = (hi + Math.imul(ah8, bh6)) | 0;\n    lo = (lo + Math.imul(al7, bl7)) | 0;\n    mid = (mid + Math.imul(al7, bh7)) | 0;\n    mid = (mid + Math.imul(ah7, bl7)) | 0;\n    hi = (hi + Math.imul(ah7, bh7)) | 0;\n    lo = (lo + Math.imul(al6, bl8)) | 0;\n    mid = (mid + Math.imul(al6, bh8)) | 0;\n    mid = (mid + Math.imul(ah6, bl8)) | 0;\n    hi = (hi + Math.imul(ah6, bh8)) | 0;\n    lo = (lo + Math.imul(al5, bl9)) | 0;\n    mid = (mid + Math.imul(al5, bh9)) | 0;\n    mid = (mid + Math.imul(ah5, bl9)) | 0;\n    hi = (hi + Math.imul(ah5, bh9)) | 0;\n    var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;\n    w14 &= 0x3ffffff;\n    /* k = 15 */\n    lo = Math.imul(al9, bl6);\n    mid = Math.imul(al9, bh6);\n    mid = (mid + Math.imul(ah9, bl6)) | 0;\n    hi = Math.imul(ah9, bh6);\n    lo = (lo + Math.imul(al8, bl7)) | 0;\n    mid = (mid + Math.imul(al8, bh7)) | 0;\n    mid = (mid + Math.imul(ah8, bl7)) | 0;\n    hi = (hi + Math.imul(ah8, bh7)) | 0;\n    lo = (lo + Math.imul(al7, bl8)) | 0;\n    mid = (mid + Math.imul(al7, bh8)) | 0;\n    mid = (mid + Math.imul(ah7, bl8)) | 0;\n    hi = (hi + Math.imul(ah7, bh8)) | 0;\n    lo = (lo + Math.imul(al6, bl9)) | 0;\n    mid = (mid + Math.imul(al6, bh9)) | 0;\n    mid = (mid + Math.imul(ah6, bl9)) | 0;\n    hi = (hi + Math.imul(ah6, bh9)) | 0;\n    var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;\n    w15 &= 0x3ffffff;\n    /* k = 16 */\n    lo = Math.imul(al9, bl7);\n    mid = Math.imul(al9, bh7);\n    mid = (mid + Math.imul(ah9, bl7)) | 0;\n    hi = Math.imul(ah9, bh7);\n    lo = (lo + Math.imul(al8, bl8)) | 0;\n    mid = (mid + Math.imul(al8, bh8)) | 0;\n    mid = (mid + Math.imul(ah8, bl8)) | 0;\n    hi = (hi + Math.imul(ah8, bh8)) | 0;\n    lo = (lo + Math.imul(al7, bl9)) | 0;\n    mid = (mid + Math.imul(al7, bh9)) | 0;\n    mid = (mid + Math.imul(ah7, bl9)) | 0;\n    hi = (hi + Math.imul(ah7, bh9)) | 0;\n    var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;\n    w16 &= 0x3ffffff;\n    /* k = 17 */\n    lo = Math.imul(al9, bl8);\n    mid = Math.imul(al9, bh8);\n    mid = (mid + Math.imul(ah9, bl8)) | 0;\n    hi = Math.imul(ah9, bh8);\n    lo = (lo + Math.imul(al8, bl9)) | 0;\n    mid = (mid + Math.imul(al8, bh9)) | 0;\n    mid = (mid + Math.imul(ah8, bl9)) | 0;\n    hi = (hi + Math.imul(ah8, bh9)) | 0;\n    var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;\n    w17 &= 0x3ffffff;\n    /* k = 18 */\n    lo = Math.imul(al9, bl9);\n    mid = Math.imul(al9, bh9);\n    mid = (mid + Math.imul(ah9, bl9)) | 0;\n    hi = Math.imul(ah9, bh9);\n    var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n    c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;\n    w18 &= 0x3ffffff;\n    o[0] = w0;\n    o[1] = w1;\n    o[2] = w2;\n    o[3] = w3;\n    o[4] = w4;\n    o[5] = w5;\n    o[6] = w6;\n    o[7] = w7;\n    o[8] = w8;\n    o[9] = w9;\n    o[10] = w10;\n    o[11] = w11;\n    o[12] = w12;\n    o[13] = w13;\n    o[14] = w14;\n    o[15] = w15;\n    o[16] = w16;\n    o[17] = w17;\n    o[18] = w18;\n    if (c !== 0) {\n      o[19] = c;\n      out.length++;\n    }\n    return out;\n  };\n\n  // Polyfill comb\n  if (!Math.imul) {\n    comb10MulTo = smallMulTo;\n  }\n\n  function bigMulTo (self, num, out) {\n    out.negative = num.negative ^ self.negative;\n    out.length = self.length + num.length;\n\n    var carry = 0;\n    var hncarry = 0;\n    for (var k = 0; k < out.length - 1; k++) {\n      // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n      // note that ncarry could be >= 0x3ffffff\n      var ncarry = hncarry;\n      hncarry = 0;\n      var rword = carry & 0x3ffffff;\n      var maxJ = Math.min(k, num.length - 1);\n      for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n        var i = k - j;\n        var a = self.words[i] | 0;\n        var b = num.words[j] | 0;\n        var r = a * b;\n\n        var lo = r & 0x3ffffff;\n        ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;\n        lo = (lo + rword) | 0;\n        rword = lo & 0x3ffffff;\n        ncarry = (ncarry + (lo >>> 26)) | 0;\n\n        hncarry += ncarry >>> 26;\n        ncarry &= 0x3ffffff;\n      }\n      out.words[k] = rword;\n      carry = ncarry;\n      ncarry = hncarry;\n    }\n    if (carry !== 0) {\n      out.words[k] = carry;\n    } else {\n      out.length--;\n    }\n\n    return out._strip();\n  }\n\n  function jumboMulTo (self, num, out) {\n    // Temporary disable, see https://github.com/indutny/bn.js/issues/211\n    // var fftm = new FFTM();\n    // return fftm.mulp(self, num, out);\n    return bigMulTo(self, num, out);\n  }\n\n  BN.prototype.mulTo = function mulTo (num, out) {\n    var res;\n    var len = this.length + num.length;\n    if (this.length === 10 && num.length === 10) {\n      res = comb10MulTo(this, num, out);\n    } else if (len < 63) {\n      res = smallMulTo(this, num, out);\n    } else if (len < 1024) {\n      res = bigMulTo(this, num, out);\n    } else {\n      res = jumboMulTo(this, num, out);\n    }\n\n    return res;\n  };\n\n  // Cooley-Tukey algorithm for FFT\n  // slightly revisited to rely on looping instead of recursion\n\n  function FFTM (x, y) {\n    this.x = x;\n    this.y = y;\n  }\n\n  FFTM.prototype.makeRBT = function makeRBT (N) {\n    var t = new Array(N);\n    var l = BN.prototype._countBits(N) - 1;\n    for (var i = 0; i < N; i++) {\n      t[i] = this.revBin(i, l, N);\n    }\n\n    return t;\n  };\n\n  // Returns binary-reversed representation of `x`\n  FFTM.prototype.revBin = function revBin (x, l, N) {\n    if (x === 0 || x === N - 1) return x;\n\n    var rb = 0;\n    for (var i = 0; i < l; i++) {\n      rb |= (x & 1) << (l - i - 1);\n      x >>= 1;\n    }\n\n    return rb;\n  };\n\n  // Performs \"tweedling\" phase, therefore 'emulating'\n  // behaviour of the recursive algorithm\n  FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {\n    for (var i = 0; i < N; i++) {\n      rtws[i] = rws[rbt[i]];\n      itws[i] = iws[rbt[i]];\n    }\n  };\n\n  FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {\n    this.permute(rbt, rws, iws, rtws, itws, N);\n\n    for (var s = 1; s < N; s <<= 1) {\n      var l = s << 1;\n\n      var rtwdf = Math.cos(2 * Math.PI / l);\n      var itwdf = Math.sin(2 * Math.PI / l);\n\n      for (var p = 0; p < N; p += l) {\n        var rtwdf_ = rtwdf;\n        var itwdf_ = itwdf;\n\n        for (var j = 0; j < s; j++) {\n          var re = rtws[p + j];\n          var ie = itws[p + j];\n\n          var ro = rtws[p + j + s];\n          var io = itws[p + j + s];\n\n          var rx = rtwdf_ * ro - itwdf_ * io;\n\n          io = rtwdf_ * io + itwdf_ * ro;\n          ro = rx;\n\n          rtws[p + j] = re + ro;\n          itws[p + j] = ie + io;\n\n          rtws[p + j + s] = re - ro;\n          itws[p + j + s] = ie - io;\n\n          /* jshint maxdepth : false */\n          if (j !== l) {\n            rx = rtwdf * rtwdf_ - itwdf * itwdf_;\n\n            itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;\n            rtwdf_ = rx;\n          }\n        }\n      }\n    }\n  };\n\n  FFTM.prototype.guessLen13b = function guessLen13b (n, m) {\n    var N = Math.max(m, n) | 1;\n    var odd = N & 1;\n    var i = 0;\n    for (N = N / 2 | 0; N; N = N >>> 1) {\n      i++;\n    }\n\n    return 1 << i + 1 + odd;\n  };\n\n  FFTM.prototype.conjugate = function conjugate (rws, iws, N) {\n    if (N <= 1) return;\n\n    for (var i = 0; i < N / 2; i++) {\n      var t = rws[i];\n\n      rws[i] = rws[N - i - 1];\n      rws[N - i - 1] = t;\n\n      t = iws[i];\n\n      iws[i] = -iws[N - i - 1];\n      iws[N - i - 1] = -t;\n    }\n  };\n\n  FFTM.prototype.normalize13b = function normalize13b (ws, N) {\n    var carry = 0;\n    for (var i = 0; i < N / 2; i++) {\n      var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +\n        Math.round(ws[2 * i] / N) +\n        carry;\n\n      ws[i] = w & 0x3ffffff;\n\n      if (w < 0x4000000) {\n        carry = 0;\n      } else {\n        carry = w / 0x4000000 | 0;\n      }\n    }\n\n    return ws;\n  };\n\n  FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {\n    var carry = 0;\n    for (var i = 0; i < len; i++) {\n      carry = carry + (ws[i] | 0);\n\n      rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;\n      rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;\n    }\n\n    // Pad with zeroes\n    for (i = 2 * len; i < N; ++i) {\n      rws[i] = 0;\n    }\n\n    assert(carry === 0);\n    assert((carry & ~0x1fff) === 0);\n  };\n\n  FFTM.prototype.stub = function stub (N) {\n    var ph = new Array(N);\n    for (var i = 0; i < N; i++) {\n      ph[i] = 0;\n    }\n\n    return ph;\n  };\n\n  FFTM.prototype.mulp = function mulp (x, y, out) {\n    var N = 2 * this.guessLen13b(x.length, y.length);\n\n    var rbt = this.makeRBT(N);\n\n    var _ = this.stub(N);\n\n    var rws = new Array(N);\n    var rwst = new Array(N);\n    var iwst = new Array(N);\n\n    var nrws = new Array(N);\n    var nrwst = new Array(N);\n    var niwst = new Array(N);\n\n    var rmws = out.words;\n    rmws.length = N;\n\n    this.convert13b(x.words, x.length, rws, N);\n    this.convert13b(y.words, y.length, nrws, N);\n\n    this.transform(rws, _, rwst, iwst, N, rbt);\n    this.transform(nrws, _, nrwst, niwst, N, rbt);\n\n    for (var i = 0; i < N; i++) {\n      var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];\n      iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];\n      rwst[i] = rx;\n    }\n\n    this.conjugate(rwst, iwst, N);\n    this.transform(rwst, iwst, rmws, _, N, rbt);\n    this.conjugate(rmws, _, N);\n    this.normalize13b(rmws, N);\n\n    out.negative = x.negative ^ y.negative;\n    out.length = x.length + y.length;\n    return out._strip();\n  };\n\n  // Multiply `this` by `num`\n  BN.prototype.mul = function mul (num) {\n    var out = new BN(null);\n    out.words = new Array(this.length + num.length);\n    return this.mulTo(num, out);\n  };\n\n  // Multiply employing FFT\n  BN.prototype.mulf = function mulf (num) {\n    var out = new BN(null);\n    out.words = new Array(this.length + num.length);\n    return jumboMulTo(this, num, out);\n  };\n\n  // In-place Multiplication\n  BN.prototype.imul = function imul (num) {\n    return this.clone().mulTo(num, this);\n  };\n\n  BN.prototype.imuln = function imuln (num) {\n    var isNegNum = num < 0;\n    if (isNegNum) num = -num;\n\n    assert(typeof num === 'number');\n    assert(num < 0x4000000);\n\n    // Carry\n    var carry = 0;\n    for (var i = 0; i < this.length; i++) {\n      var w = (this.words[i] | 0) * num;\n      var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);\n      carry >>= 26;\n      carry += (w / 0x4000000) | 0;\n      // NOTE: lo is 27bit maximum\n      carry += lo >>> 26;\n      this.words[i] = lo & 0x3ffffff;\n    }\n\n    if (carry !== 0) {\n      this.words[i] = carry;\n      this.length++;\n    }\n    if (num === 0) {\n      this.length = 1;\n      this._normSign();\n    }\n\n    return isNegNum ? this.ineg() : this;\n  };\n\n  BN.prototype.muln = function muln (num) {\n    return this.clone().imuln(num);\n  };\n\n  // `this` * `this`\n  BN.prototype.sqr = function sqr () {\n    return this.mul(this);\n  };\n\n  // `this` * `this` in-place\n  BN.prototype.isqr = function isqr () {\n    return this.imul(this.clone());\n  };\n\n  // Math.pow(`this`, `num`)\n  BN.prototype.pow = function pow (num) {\n    var w = toBitArray(num);\n    if (w.length === 0) return new BN(1);\n\n    // Skip leading zeroes\n    var res = this;\n    for (var i = 0; i < w.length; i++, res = res.sqr()) {\n      if (w[i] !== 0) break;\n    }\n\n    if (++i < w.length) {\n      for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {\n        if (w[i] === 0) continue;\n\n        res = res.mul(q);\n      }\n    }\n\n    return res;\n  };\n\n  // Shift-left in-place\n  BN.prototype.iushln = function iushln (bits) {\n    assert(typeof bits === 'number' && bits >= 0);\n    var r = bits % 26;\n    var s = (bits - r) / 26;\n    var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);\n    var i;\n\n    if (r !== 0) {\n      var carry = 0;\n\n      for (i = 0; i < this.length; i++) {\n        var newCarry = this.words[i] & carryMask;\n        var c = ((this.words[i] | 0) - newCarry) << r;\n        this.words[i] = c | carry;\n        carry = newCarry >>> (26 - r);\n      }\n\n      if (carry) {\n        this.words[i] = carry;\n        this.length++;\n      }\n    }\n\n    if (s !== 0) {\n      for (i = this.length - 1; i >= 0; i--) {\n        this.words[i + s] = this.words[i];\n      }\n\n      for (i = 0; i < s; i++) {\n        this.words[i] = 0;\n      }\n\n      this.length += s;\n    }\n\n    return this._strip();\n  };\n\n  BN.prototype.ishln = function ishln (bits) {\n    // TODO(indutny): implement me\n    assert(this.negative === 0);\n    return this.iushln(bits);\n  };\n\n  // Shift-right in-place\n  // NOTE: `hint` is a lowest bit before trailing zeroes\n  // NOTE: if `extended` is present - it will be filled with destroyed bits\n  BN.prototype.iushrn = function iushrn (bits, hint, extended) {\n    assert(typeof bits === 'number' && bits >= 0);\n    var h;\n    if (hint) {\n      h = (hint - (hint % 26)) / 26;\n    } else {\n      h = 0;\n    }\n\n    var r = bits % 26;\n    var s = Math.min((bits - r) / 26, this.length);\n    var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n    var maskedWords = extended;\n\n    h -= s;\n    h = Math.max(0, h);\n\n    // Extended mode, copy masked part\n    if (maskedWords) {\n      for (var i = 0; i < s; i++) {\n        maskedWords.words[i] = this.words[i];\n      }\n      maskedWords.length = s;\n    }\n\n    if (s === 0) {\n      // No-op, we should not move anything at all\n    } else if (this.length > s) {\n      this.length -= s;\n      for (i = 0; i < this.length; i++) {\n        this.words[i] = this.words[i + s];\n      }\n    } else {\n      this.words[0] = 0;\n      this.length = 1;\n    }\n\n    var carry = 0;\n    for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {\n      var word = this.words[i] | 0;\n      this.words[i] = (carry << (26 - r)) | (word >>> r);\n      carry = word & mask;\n    }\n\n    // Push carried bits as a mask\n    if (maskedWords && carry !== 0) {\n      maskedWords.words[maskedWords.length++] = carry;\n    }\n\n    if (this.length === 0) {\n      this.words[0] = 0;\n      this.length = 1;\n    }\n\n    return this._strip();\n  };\n\n  BN.prototype.ishrn = function ishrn (bits, hint, extended) {\n    // TODO(indutny): implement me\n    assert(this.negative === 0);\n    return this.iushrn(bits, hint, extended);\n  };\n\n  // Shift-left\n  BN.prototype.shln = function shln (bits) {\n    return this.clone().ishln(bits);\n  };\n\n  BN.prototype.ushln = function ushln (bits) {\n    return this.clone().iushln(bits);\n  };\n\n  // Shift-right\n  BN.prototype.shrn = function shrn (bits) {\n    return this.clone().ishrn(bits);\n  };\n\n  BN.prototype.ushrn = function ushrn (bits) {\n    return this.clone().iushrn(bits);\n  };\n\n  // Test if n bit is set\n  BN.prototype.testn = function testn (bit) {\n    assert(typeof bit === 'number' && bit >= 0);\n    var r = bit % 26;\n    var s = (bit - r) / 26;\n    var q = 1 << r;\n\n    // Fast case: bit is much higher than all existing words\n    if (this.length <= s) return false;\n\n    // Check bit and return\n    var w = this.words[s];\n\n    return !!(w & q);\n  };\n\n  // Return only lowers bits of number (in-place)\n  BN.prototype.imaskn = function imaskn (bits) {\n    assert(typeof bits === 'number' && bits >= 0);\n    var r = bits % 26;\n    var s = (bits - r) / 26;\n\n    assert(this.negative === 0, 'imaskn works only with positive numbers');\n\n    if (this.length <= s) {\n      return this;\n    }\n\n    if (r !== 0) {\n      s++;\n    }\n    this.length = Math.min(s, this.length);\n\n    if (r !== 0) {\n      var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n      this.words[this.length - 1] &= mask;\n    }\n\n    if (this.length === 0) {\n      this.words[0] = 0;\n      this.length = 1;\n    }\n\n    return this._strip();\n  };\n\n  // Return only lowers bits of number\n  BN.prototype.maskn = function maskn (bits) {\n    return this.clone().imaskn(bits);\n  };\n\n  // Add plain number `num` to `this`\n  BN.prototype.iaddn = function iaddn (num) {\n    assert(typeof num === 'number');\n    assert(num < 0x4000000);\n    if (num < 0) return this.isubn(-num);\n\n    // Possible sign change\n    if (this.negative !== 0) {\n      if (this.length === 1 && (this.words[0] | 0) <= num) {\n        this.words[0] = num - (this.words[0] | 0);\n        this.negative = 0;\n        return this;\n      }\n\n      this.negative = 0;\n      this.isubn(num);\n      this.negative = 1;\n      return this;\n    }\n\n    // Add without checks\n    return this._iaddn(num);\n  };\n\n  BN.prototype._iaddn = function _iaddn (num) {\n    this.words[0] += num;\n\n    // Carry\n    for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {\n      this.words[i] -= 0x4000000;\n      if (i === this.length - 1) {\n        this.words[i + 1] = 1;\n      } else {\n        this.words[i + 1]++;\n      }\n    }\n    this.length = Math.max(this.length, i + 1);\n\n    return this;\n  };\n\n  // Subtract plain number `num` from `this`\n  BN.prototype.isubn = function isubn (num) {\n    assert(typeof num === 'number');\n    assert(num < 0x4000000);\n    if (num < 0) return this.iaddn(-num);\n\n    if (this.negative !== 0) {\n      this.negative = 0;\n      this.iaddn(num);\n      this.negative = 1;\n      return this;\n    }\n\n    this.words[0] -= num;\n\n    if (this.length === 1 && this.words[0] < 0) {\n      this.words[0] = -this.words[0];\n      this.negative = 1;\n    } else {\n      // Carry\n      for (var i = 0; i < this.length && this.words[i] < 0; i++) {\n        this.words[i] += 0x4000000;\n        this.words[i + 1] -= 1;\n      }\n    }\n\n    return this._strip();\n  };\n\n  BN.prototype.addn = function addn (num) {\n    return this.clone().iaddn(num);\n  };\n\n  BN.prototype.subn = function subn (num) {\n    return this.clone().isubn(num);\n  };\n\n  BN.prototype.iabs = function iabs () {\n    this.negative = 0;\n\n    return this;\n  };\n\n  BN.prototype.abs = function abs () {\n    return this.clone().iabs();\n  };\n\n  BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {\n    var len = num.length + shift;\n    var i;\n\n    this._expand(len);\n\n    var w;\n    var carry = 0;\n    for (i = 0; i < num.length; i++) {\n      w = (this.words[i + shift] | 0) + carry;\n      var right = (num.words[i] | 0) * mul;\n      w -= right & 0x3ffffff;\n      carry = (w >> 26) - ((right / 0x4000000) | 0);\n      this.words[i + shift] = w & 0x3ffffff;\n    }\n    for (; i < this.length - shift; i++) {\n      w = (this.words[i + shift] | 0) + carry;\n      carry = w >> 26;\n      this.words[i + shift] = w & 0x3ffffff;\n    }\n\n    if (carry === 0) return this._strip();\n\n    // Subtraction overflow\n    assert(carry === -1);\n    carry = 0;\n    for (i = 0; i < this.length; i++) {\n      w = -(this.words[i] | 0) + carry;\n      carry = w >> 26;\n      this.words[i] = w & 0x3ffffff;\n    }\n    this.negative = 1;\n\n    return this._strip();\n  };\n\n  BN.prototype._wordDiv = function _wordDiv (num, mode) {\n    var shift = this.length - num.length;\n\n    var a = this.clone();\n    var b = num;\n\n    // Normalize\n    var bhi = b.words[b.length - 1] | 0;\n    var bhiBits = this._countBits(bhi);\n    shift = 26 - bhiBits;\n    if (shift !== 0) {\n      b = b.ushln(shift);\n      a.iushln(shift);\n      bhi = b.words[b.length - 1] | 0;\n    }\n\n    // Initialize quotient\n    var m = a.length - b.length;\n    var q;\n\n    if (mode !== 'mod') {\n      q = new BN(null);\n      q.length = m + 1;\n      q.words = new Array(q.length);\n      for (var i = 0; i < q.length; i++) {\n        q.words[i] = 0;\n      }\n    }\n\n    var diff = a.clone()._ishlnsubmul(b, 1, m);\n    if (diff.negative === 0) {\n      a = diff;\n      if (q) {\n        q.words[m] = 1;\n      }\n    }\n\n    for (var j = m - 1; j >= 0; j--) {\n      var qj = (a.words[b.length + j] | 0) * 0x4000000 +\n        (a.words[b.length + j - 1] | 0);\n\n      // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max\n      // (0x7ffffff)\n      qj = Math.min((qj / bhi) | 0, 0x3ffffff);\n\n      a._ishlnsubmul(b, qj, j);\n      while (a.negative !== 0) {\n        qj--;\n        a.negative = 0;\n        a._ishlnsubmul(b, 1, j);\n        if (!a.isZero()) {\n          a.negative ^= 1;\n        }\n      }\n      if (q) {\n        q.words[j] = qj;\n      }\n    }\n    if (q) {\n      q._strip();\n    }\n    a._strip();\n\n    // Denormalize\n    if (mode !== 'div' && shift !== 0) {\n      a.iushrn(shift);\n    }\n\n    return {\n      div: q || null,\n      mod: a\n    };\n  };\n\n  // NOTE: 1) `mode` can be set to `mod` to request mod only,\n  //       to `div` to request div only, or be absent to\n  //       request both div & mod\n  //       2) `positive` is true if unsigned mod is requested\n  BN.prototype.divmod = function divmod (num, mode, positive) {\n    assert(!num.isZero());\n\n    if (this.isZero()) {\n      return {\n        div: new BN(0),\n        mod: new BN(0)\n      };\n    }\n\n    var div, mod, res;\n    if (this.negative !== 0 && num.negative === 0) {\n      res = this.neg().divmod(num, mode);\n\n      if (mode !== 'mod') {\n        div = res.div.neg();\n      }\n\n      if (mode !== 'div') {\n        mod = res.mod.neg();\n        if (positive && mod.negative !== 0) {\n          mod.iadd(num);\n        }\n      }\n\n      return {\n        div: div,\n        mod: mod\n      };\n    }\n\n    if (this.negative === 0 && num.negative !== 0) {\n      res = this.divmod(num.neg(), mode);\n\n      if (mode !== 'mod') {\n        div = res.div.neg();\n      }\n\n      return {\n        div: div,\n        mod: res.mod\n      };\n    }\n\n    if ((this.negative & num.negative) !== 0) {\n      res = this.neg().divmod(num.neg(), mode);\n\n      if (mode !== 'div') {\n        mod = res.mod.neg();\n        if (positive && mod.negative !== 0) {\n          mod.isub(num);\n        }\n      }\n\n      return {\n        div: res.div,\n        mod: mod\n      };\n    }\n\n    // Both numbers are positive at this point\n\n    // Strip both numbers to approximate shift value\n    if (num.length > this.length || this.cmp(num) < 0) {\n      return {\n        div: new BN(0),\n        mod: this\n      };\n    }\n\n    // Very short reduction\n    if (num.length === 1) {\n      if (mode === 'div') {\n        return {\n          div: this.divn(num.words[0]),\n          mod: null\n        };\n      }\n\n      if (mode === 'mod') {\n        return {\n          div: null,\n          mod: new BN(this.modrn(num.words[0]))\n        };\n      }\n\n      return {\n        div: this.divn(num.words[0]),\n        mod: new BN(this.modrn(num.words[0]))\n      };\n    }\n\n    return this._wordDiv(num, mode);\n  };\n\n  // Find `this` / `num`\n  BN.prototype.div = function div (num) {\n    return this.divmod(num, 'div', false).div;\n  };\n\n  // Find `this` % `num`\n  BN.prototype.mod = function mod (num) {\n    return this.divmod(num, 'mod', false).mod;\n  };\n\n  BN.prototype.umod = function umod (num) {\n    return this.divmod(num, 'mod', true).mod;\n  };\n\n  // Find Round(`this` / `num`)\n  BN.prototype.divRound = function divRound (num) {\n    var dm = this.divmod(num);\n\n    // Fast case - exact division\n    if (dm.mod.isZero()) return dm.div;\n\n    var mod = dm.mod.abs();\n\n    var half = num.abs().iushrn(1);\n    var r2 = num.words[0] & 1;\n    var cmp = mod.cmp(half);\n\n    // Round down\n    if (cmp < 0 || (r2 === 1 && cmp === 0)) return dm.div;\n\n    // Round up, away from zero\n    var up = new BN(1);\n    up.negative = this.negative ^ num.negative;\n    return dm.div.iadd(up);\n  };\n\n  BN.prototype.modrn = function modrn (num) {\n    var isNegNum = num < 0;\n    if (isNegNum) num = -num;\n\n    assert(num <= 0x3ffffff);\n    var p = (1 << 26) % num;\n\n    var acc = 0;\n    for (var i = this.length - 1; i >= 0; i--) {\n      acc = (p * acc + (this.words[i] | 0)) % num;\n    }\n\n    return isNegNum ? -acc : acc;\n  };\n\n  // WARNING: DEPRECATED\n  BN.prototype.modn = function modn (num) {\n    return this.modrn(num);\n  };\n\n  // In-place division by number\n  BN.prototype.idivn = function idivn (num) {\n    var isNegNum = num < 0;\n    if (isNegNum) num = -num;\n\n    assert(num <= 0x3ffffff);\n\n    var carry = 0;\n    for (var i = this.length - 1; i >= 0; i--) {\n      var w = (this.words[i] | 0) + carry * 0x4000000;\n      this.words[i] = (w / num) | 0;\n      carry = w % num;\n    }\n\n    this._strip();\n    return isNegNum ? this.ineg() : this;\n  };\n\n  BN.prototype.divn = function divn (num) {\n    return this.clone().idivn(num);\n  };\n\n  BN.prototype.egcd = function egcd (p) {\n    assert(p.negative === 0);\n    assert(!p.isZero());\n\n    var x = this;\n    var y = p.clone();\n\n    if (x.negative !== 0) {\n      x = x.umod(p);\n    } else {\n      x = x.clone();\n    }\n\n    // A * x + B * y = x\n    var A = new BN(1);\n    var B = new BN(0);\n\n    // C * x + D * y = y\n    var C = new BN(0);\n    var D = new BN(1);\n\n    var g = 0;\n\n    while (x.isEven() && y.isEven()) {\n      x.iushrn(1);\n      y.iushrn(1);\n      ++g;\n    }\n\n    var yp = y.clone();\n    var xp = x.clone();\n\n    while (!x.isZero()) {\n      for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n      if (i > 0) {\n        x.iushrn(i);\n        while (i-- > 0) {\n          if (A.isOdd() || B.isOdd()) {\n            A.iadd(yp);\n            B.isub(xp);\n          }\n\n          A.iushrn(1);\n          B.iushrn(1);\n        }\n      }\n\n      for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n      if (j > 0) {\n        y.iushrn(j);\n        while (j-- > 0) {\n          if (C.isOdd() || D.isOdd()) {\n            C.iadd(yp);\n            D.isub(xp);\n          }\n\n          C.iushrn(1);\n          D.iushrn(1);\n        }\n      }\n\n      if (x.cmp(y) >= 0) {\n        x.isub(y);\n        A.isub(C);\n        B.isub(D);\n      } else {\n        y.isub(x);\n        C.isub(A);\n        D.isub(B);\n      }\n    }\n\n    return {\n      a: C,\n      b: D,\n      gcd: y.iushln(g)\n    };\n  };\n\n  // This is reduced incarnation of the binary EEA\n  // above, designated to invert members of the\n  // _prime_ fields F(p) at a maximal speed\n  BN.prototype._invmp = function _invmp (p) {\n    assert(p.negative === 0);\n    assert(!p.isZero());\n\n    var a = this;\n    var b = p.clone();\n\n    if (a.negative !== 0) {\n      a = a.umod(p);\n    } else {\n      a = a.clone();\n    }\n\n    var x1 = new BN(1);\n    var x2 = new BN(0);\n\n    var delta = b.clone();\n\n    while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {\n      for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n      if (i > 0) {\n        a.iushrn(i);\n        while (i-- > 0) {\n          if (x1.isOdd()) {\n            x1.iadd(delta);\n          }\n\n          x1.iushrn(1);\n        }\n      }\n\n      for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n      if (j > 0) {\n        b.iushrn(j);\n        while (j-- > 0) {\n          if (x2.isOdd()) {\n            x2.iadd(delta);\n          }\n\n          x2.iushrn(1);\n        }\n      }\n\n      if (a.cmp(b) >= 0) {\n        a.isub(b);\n        x1.isub(x2);\n      } else {\n        b.isub(a);\n        x2.isub(x1);\n      }\n    }\n\n    var res;\n    if (a.cmpn(1) === 0) {\n      res = x1;\n    } else {\n      res = x2;\n    }\n\n    if (res.cmpn(0) < 0) {\n      res.iadd(p);\n    }\n\n    return res;\n  };\n\n  BN.prototype.gcd = function gcd (num) {\n    if (this.isZero()) return num.abs();\n    if (num.isZero()) return this.abs();\n\n    var a = this.clone();\n    var b = num.clone();\n    a.negative = 0;\n    b.negative = 0;\n\n    // Remove common factor of two\n    for (var shift = 0; a.isEven() && b.isEven(); shift++) {\n      a.iushrn(1);\n      b.iushrn(1);\n    }\n\n    do {\n      while (a.isEven()) {\n        a.iushrn(1);\n      }\n      while (b.isEven()) {\n        b.iushrn(1);\n      }\n\n      var r = a.cmp(b);\n      if (r < 0) {\n        // Swap `a` and `b` to make `a` always bigger than `b`\n        var t = a;\n        a = b;\n        b = t;\n      } else if (r === 0 || b.cmpn(1) === 0) {\n        break;\n      }\n\n      a.isub(b);\n    } while (true);\n\n    return b.iushln(shift);\n  };\n\n  // Invert number in the field F(num)\n  BN.prototype.invm = function invm (num) {\n    return this.egcd(num).a.umod(num);\n  };\n\n  BN.prototype.isEven = function isEven () {\n    return (this.words[0] & 1) === 0;\n  };\n\n  BN.prototype.isOdd = function isOdd () {\n    return (this.words[0] & 1) === 1;\n  };\n\n  // And first word and num\n  BN.prototype.andln = function andln (num) {\n    return this.words[0] & num;\n  };\n\n  // Increment at the bit position in-line\n  BN.prototype.bincn = function bincn (bit) {\n    assert(typeof bit === 'number');\n    var r = bit % 26;\n    var s = (bit - r) / 26;\n    var q = 1 << r;\n\n    // Fast case: bit is much higher than all existing words\n    if (this.length <= s) {\n      this._expand(s + 1);\n      this.words[s] |= q;\n      return this;\n    }\n\n    // Add bit and propagate, if needed\n    var carry = q;\n    for (var i = s; carry !== 0 && i < this.length; i++) {\n      var w = this.words[i] | 0;\n      w += carry;\n      carry = w >>> 26;\n      w &= 0x3ffffff;\n      this.words[i] = w;\n    }\n    if (carry !== 0) {\n      this.words[i] = carry;\n      this.length++;\n    }\n    return this;\n  };\n\n  BN.prototype.isZero = function isZero () {\n    return this.length === 1 && this.words[0] === 0;\n  };\n\n  BN.prototype.cmpn = function cmpn (num) {\n    var negative = num < 0;\n\n    if (this.negative !== 0 && !negative) return -1;\n    if (this.negative === 0 && negative) return 1;\n\n    this._strip();\n\n    var res;\n    if (this.length > 1) {\n      res = 1;\n    } else {\n      if (negative) {\n        num = -num;\n      }\n\n      assert(num <= 0x3ffffff, 'Number is too big');\n\n      var w = this.words[0] | 0;\n      res = w === num ? 0 : w < num ? -1 : 1;\n    }\n    if (this.negative !== 0) return -res | 0;\n    return res;\n  };\n\n  // Compare two numbers and return:\n  // 1 - if `this` > `num`\n  // 0 - if `this` == `num`\n  // -1 - if `this` < `num`\n  BN.prototype.cmp = function cmp (num) {\n    if (this.negative !== 0 && num.negative === 0) return -1;\n    if (this.negative === 0 && num.negative !== 0) return 1;\n\n    var res = this.ucmp(num);\n    if (this.negative !== 0) return -res | 0;\n    return res;\n  };\n\n  // Unsigned comparison\n  BN.prototype.ucmp = function ucmp (num) {\n    // At this point both numbers have the same sign\n    if (this.length > num.length) return 1;\n    if (this.length < num.length) return -1;\n\n    var res = 0;\n    for (var i = this.length - 1; i >= 0; i--) {\n      var a = this.words[i] | 0;\n      var b = num.words[i] | 0;\n\n      if (a === b) continue;\n      if (a < b) {\n        res = -1;\n      } else if (a > b) {\n        res = 1;\n      }\n      break;\n    }\n    return res;\n  };\n\n  BN.prototype.gtn = function gtn (num) {\n    return this.cmpn(num) === 1;\n  };\n\n  BN.prototype.gt = function gt (num) {\n    return this.cmp(num) === 1;\n  };\n\n  BN.prototype.gten = function gten (num) {\n    return this.cmpn(num) >= 0;\n  };\n\n  BN.prototype.gte = function gte (num) {\n    return this.cmp(num) >= 0;\n  };\n\n  BN.prototype.ltn = function ltn (num) {\n    return this.cmpn(num) === -1;\n  };\n\n  BN.prototype.lt = function lt (num) {\n    return this.cmp(num) === -1;\n  };\n\n  BN.prototype.lten = function lten (num) {\n    return this.cmpn(num) <= 0;\n  };\n\n  BN.prototype.lte = function lte (num) {\n    return this.cmp(num) <= 0;\n  };\n\n  BN.prototype.eqn = function eqn (num) {\n    return this.cmpn(num) === 0;\n  };\n\n  BN.prototype.eq = function eq (num) {\n    return this.cmp(num) === 0;\n  };\n\n  //\n  // A reduce context, could be using montgomery or something better, depending\n  // on the `m` itself.\n  //\n  BN.red = function red (num) {\n    return new Red(num);\n  };\n\n  BN.prototype.toRed = function toRed (ctx) {\n    assert(!this.red, 'Already a number in reduction context');\n    assert(this.negative === 0, 'red works only with positives');\n    return ctx.convertTo(this)._forceRed(ctx);\n  };\n\n  BN.prototype.fromRed = function fromRed () {\n    assert(this.red, 'fromRed works only with numbers in reduction context');\n    return this.red.convertFrom(this);\n  };\n\n  BN.prototype._forceRed = function _forceRed (ctx) {\n    this.red = ctx;\n    return this;\n  };\n\n  BN.prototype.forceRed = function forceRed (ctx) {\n    assert(!this.red, 'Already a number in reduction context');\n    return this._forceRed(ctx);\n  };\n\n  BN.prototype.redAdd = function redAdd (num) {\n    assert(this.red, 'redAdd works only with red numbers');\n    return this.red.add(this, num);\n  };\n\n  BN.prototype.redIAdd = function redIAdd (num) {\n    assert(this.red, 'redIAdd works only with red numbers');\n    return this.red.iadd(this, num);\n  };\n\n  BN.prototype.redSub = function redSub (num) {\n    assert(this.red, 'redSub works only with red numbers');\n    return this.red.sub(this, num);\n  };\n\n  BN.prototype.redISub = function redISub (num) {\n    assert(this.red, 'redISub works only with red numbers');\n    return this.red.isub(this, num);\n  };\n\n  BN.prototype.redShl = function redShl (num) {\n    assert(this.red, 'redShl works only with red numbers');\n    return this.red.shl(this, num);\n  };\n\n  BN.prototype.redMul = function redMul (num) {\n    assert(this.red, 'redMul works only with red numbers');\n    this.red._verify2(this, num);\n    return this.red.mul(this, num);\n  };\n\n  BN.prototype.redIMul = function redIMul (num) {\n    assert(this.red, 'redMul works only with red numbers');\n    this.red._verify2(this, num);\n    return this.red.imul(this, num);\n  };\n\n  BN.prototype.redSqr = function redSqr () {\n    assert(this.red, 'redSqr works only with red numbers');\n    this.red._verify1(this);\n    return this.red.sqr(this);\n  };\n\n  BN.prototype.redISqr = function redISqr () {\n    assert(this.red, 'redISqr works only with red numbers');\n    this.red._verify1(this);\n    return this.red.isqr(this);\n  };\n\n  // Square root over p\n  BN.prototype.redSqrt = function redSqrt () {\n    assert(this.red, 'redSqrt works only with red numbers');\n    this.red._verify1(this);\n    return this.red.sqrt(this);\n  };\n\n  BN.prototype.redInvm = function redInvm () {\n    assert(this.red, 'redInvm works only with red numbers');\n    this.red._verify1(this);\n    return this.red.invm(this);\n  };\n\n  // Return negative clone of `this` % `red modulo`\n  BN.prototype.redNeg = function redNeg () {\n    assert(this.red, 'redNeg works only with red numbers');\n    this.red._verify1(this);\n    return this.red.neg(this);\n  };\n\n  BN.prototype.redPow = function redPow (num) {\n    assert(this.red && !num.red, 'redPow(normalNum)');\n    this.red._verify1(this);\n    return this.red.pow(this, num);\n  };\n\n  // Prime numbers with efficient reduction\n  var primes = {\n    k256: null,\n    p224: null,\n    p192: null,\n    p25519: null\n  };\n\n  // Pseudo-Mersenne prime\n  function MPrime (name, p) {\n    // P = 2 ^ N - K\n    this.name = name;\n    this.p = new BN(p, 16);\n    this.n = this.p.bitLength();\n    this.k = new BN(1).iushln(this.n).isub(this.p);\n\n    this.tmp = this._tmp();\n  }\n\n  MPrime.prototype._tmp = function _tmp () {\n    var tmp = new BN(null);\n    tmp.words = new Array(Math.ceil(this.n / 13));\n    return tmp;\n  };\n\n  MPrime.prototype.ireduce = function ireduce (num) {\n    // Assumes that `num` is less than `P^2`\n    // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)\n    var r = num;\n    var rlen;\n\n    do {\n      this.split(r, this.tmp);\n      r = this.imulK(r);\n      r = r.iadd(this.tmp);\n      rlen = r.bitLength();\n    } while (rlen > this.n);\n\n    var cmp = rlen < this.n ? -1 : r.ucmp(this.p);\n    if (cmp === 0) {\n      r.words[0] = 0;\n      r.length = 1;\n    } else if (cmp > 0) {\n      r.isub(this.p);\n    } else {\n      if (r.strip !== undefined) {\n        // r is a BN v4 instance\n        r.strip();\n      } else {\n        // r is a BN v5 instance\n        r._strip();\n      }\n    }\n\n    return r;\n  };\n\n  MPrime.prototype.split = function split (input, out) {\n    input.iushrn(this.n, 0, out);\n  };\n\n  MPrime.prototype.imulK = function imulK (num) {\n    return num.imul(this.k);\n  };\n\n  function K256 () {\n    MPrime.call(\n      this,\n      'k256',\n      'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');\n  }\n  inherits(K256, MPrime);\n\n  K256.prototype.split = function split (input, output) {\n    // 256 = 9 * 26 + 22\n    var mask = 0x3fffff;\n\n    var outLen = Math.min(input.length, 9);\n    for (var i = 0; i < outLen; i++) {\n      output.words[i] = input.words[i];\n    }\n    output.length = outLen;\n\n    if (input.length <= 9) {\n      input.words[0] = 0;\n      input.length = 1;\n      return;\n    }\n\n    // Shift by 9 limbs\n    var prev = input.words[9];\n    output.words[output.length++] = prev & mask;\n\n    for (i = 10; i < input.length; i++) {\n      var next = input.words[i] | 0;\n      input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);\n      prev = next;\n    }\n    prev >>>= 22;\n    input.words[i - 10] = prev;\n    if (prev === 0 && input.length > 10) {\n      input.length -= 10;\n    } else {\n      input.length -= 9;\n    }\n  };\n\n  K256.prototype.imulK = function imulK (num) {\n    // K = 0x1000003d1 = [ 0x40, 0x3d1 ]\n    num.words[num.length] = 0;\n    num.words[num.length + 1] = 0;\n    num.length += 2;\n\n    // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390\n    var lo = 0;\n    for (var i = 0; i < num.length; i++) {\n      var w = num.words[i] | 0;\n      lo += w * 0x3d1;\n      num.words[i] = lo & 0x3ffffff;\n      lo = w * 0x40 + ((lo / 0x4000000) | 0);\n    }\n\n    // Fast length reduction\n    if (num.words[num.length - 1] === 0) {\n      num.length--;\n      if (num.words[num.length - 1] === 0) {\n        num.length--;\n      }\n    }\n    return num;\n  };\n\n  function P224 () {\n    MPrime.call(\n      this,\n      'p224',\n      'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');\n  }\n  inherits(P224, MPrime);\n\n  function P192 () {\n    MPrime.call(\n      this,\n      'p192',\n      'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');\n  }\n  inherits(P192, MPrime);\n\n  function P25519 () {\n    // 2 ^ 255 - 19\n    MPrime.call(\n      this,\n      '25519',\n      '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');\n  }\n  inherits(P25519, MPrime);\n\n  P25519.prototype.imulK = function imulK (num) {\n    // K = 0x13\n    var carry = 0;\n    for (var i = 0; i < num.length; i++) {\n      var hi = (num.words[i] | 0) * 0x13 + carry;\n      var lo = hi & 0x3ffffff;\n      hi >>>= 26;\n\n      num.words[i] = lo;\n      carry = hi;\n    }\n    if (carry !== 0) {\n      num.words[num.length++] = carry;\n    }\n    return num;\n  };\n\n  // Exported mostly for testing purposes, use plain name instead\n  BN._prime = function prime (name) {\n    // Cached version of prime\n    if (primes[name]) return primes[name];\n\n    var prime;\n    if (name === 'k256') {\n      prime = new K256();\n    } else if (name === 'p224') {\n      prime = new P224();\n    } else if (name === 'p192') {\n      prime = new P192();\n    } else if (name === 'p25519') {\n      prime = new P25519();\n    } else {\n      throw new Error('Unknown prime ' + name);\n    }\n    primes[name] = prime;\n\n    return prime;\n  };\n\n  //\n  // Base reduction engine\n  //\n  function Red (m) {\n    if (typeof m === 'string') {\n      var prime = BN._prime(m);\n      this.m = prime.p;\n      this.prime = prime;\n    } else {\n      assert(m.gtn(1), 'modulus must be greater than 1');\n      this.m = m;\n      this.prime = null;\n    }\n  }\n\n  Red.prototype._verify1 = function _verify1 (a) {\n    assert(a.negative === 0, 'red works only with positives');\n    assert(a.red, 'red works only with red numbers');\n  };\n\n  Red.prototype._verify2 = function _verify2 (a, b) {\n    assert((a.negative | b.negative) === 0, 'red works only with positives');\n    assert(a.red && a.red === b.red,\n      'red works only with red numbers');\n  };\n\n  Red.prototype.imod = function imod (a) {\n    if (this.prime) return this.prime.ireduce(a)._forceRed(this);\n\n    move(a, a.umod(this.m)._forceRed(this));\n    return a;\n  };\n\n  Red.prototype.neg = function neg (a) {\n    if (a.isZero()) {\n      return a.clone();\n    }\n\n    return this.m.sub(a)._forceRed(this);\n  };\n\n  Red.prototype.add = function add (a, b) {\n    this._verify2(a, b);\n\n    var res = a.add(b);\n    if (res.cmp(this.m) >= 0) {\n      res.isub(this.m);\n    }\n    return res._forceRed(this);\n  };\n\n  Red.prototype.iadd = function iadd (a, b) {\n    this._verify2(a, b);\n\n    var res = a.iadd(b);\n    if (res.cmp(this.m) >= 0) {\n      res.isub(this.m);\n    }\n    return res;\n  };\n\n  Red.prototype.sub = function sub (a, b) {\n    this._verify2(a, b);\n\n    var res = a.sub(b);\n    if (res.cmpn(0) < 0) {\n      res.iadd(this.m);\n    }\n    return res._forceRed(this);\n  };\n\n  Red.prototype.isub = function isub (a, b) {\n    this._verify2(a, b);\n\n    var res = a.isub(b);\n    if (res.cmpn(0) < 0) {\n      res.iadd(this.m);\n    }\n    return res;\n  };\n\n  Red.prototype.shl = function shl (a, num) {\n    this._verify1(a);\n    return this.imod(a.ushln(num));\n  };\n\n  Red.prototype.imul = function imul (a, b) {\n    this._verify2(a, b);\n    return this.imod(a.imul(b));\n  };\n\n  Red.prototype.mul = function mul (a, b) {\n    this._verify2(a, b);\n    return this.imod(a.mul(b));\n  };\n\n  Red.prototype.isqr = function isqr (a) {\n    return this.imul(a, a.clone());\n  };\n\n  Red.prototype.sqr = function sqr (a) {\n    return this.mul(a, a);\n  };\n\n  Red.prototype.sqrt = function sqrt (a) {\n    if (a.isZero()) return a.clone();\n\n    var mod3 = this.m.andln(3);\n    assert(mod3 % 2 === 1);\n\n    // Fast case\n    if (mod3 === 3) {\n      var pow = this.m.add(new BN(1)).iushrn(2);\n      return this.pow(a, pow);\n    }\n\n    // Tonelli-Shanks algorithm (Totally unoptimized and slow)\n    //\n    // Find Q and S, that Q * 2 ^ S = (P - 1)\n    var q = this.m.subn(1);\n    var s = 0;\n    while (!q.isZero() && q.andln(1) === 0) {\n      s++;\n      q.iushrn(1);\n    }\n    assert(!q.isZero());\n\n    var one = new BN(1).toRed(this);\n    var nOne = one.redNeg();\n\n    // Find quadratic non-residue\n    // NOTE: Max is such because of generalized Riemann hypothesis.\n    var lpow = this.m.subn(1).iushrn(1);\n    var z = this.m.bitLength();\n    z = new BN(2 * z * z).toRed(this);\n\n    while (this.pow(z, lpow).cmp(nOne) !== 0) {\n      z.redIAdd(nOne);\n    }\n\n    var c = this.pow(z, q);\n    var r = this.pow(a, q.addn(1).iushrn(1));\n    var t = this.pow(a, q);\n    var m = s;\n    while (t.cmp(one) !== 0) {\n      var tmp = t;\n      for (var i = 0; tmp.cmp(one) !== 0; i++) {\n        tmp = tmp.redSqr();\n      }\n      assert(i < m);\n      var b = this.pow(c, new BN(1).iushln(m - i - 1));\n\n      r = r.redMul(b);\n      c = b.redSqr();\n      t = t.redMul(c);\n      m = i;\n    }\n\n    return r;\n  };\n\n  Red.prototype.invm = function invm (a) {\n    var inv = a._invmp(this.m);\n    if (inv.negative !== 0) {\n      inv.negative = 0;\n      return this.imod(inv).redNeg();\n    } else {\n      return this.imod(inv);\n    }\n  };\n\n  Red.prototype.pow = function pow (a, num) {\n    if (num.isZero()) return new BN(1).toRed(this);\n    if (num.cmpn(1) === 0) return a.clone();\n\n    var windowSize = 4;\n    var wnd = new Array(1 << windowSize);\n    wnd[0] = new BN(1).toRed(this);\n    wnd[1] = a;\n    for (var i = 2; i < wnd.length; i++) {\n      wnd[i] = this.mul(wnd[i - 1], a);\n    }\n\n    var res = wnd[0];\n    var current = 0;\n    var currentLen = 0;\n    var start = num.bitLength() % 26;\n    if (start === 0) {\n      start = 26;\n    }\n\n    for (i = num.length - 1; i >= 0; i--) {\n      var word = num.words[i];\n      for (var j = start - 1; j >= 0; j--) {\n        var bit = (word >> j) & 1;\n        if (res !== wnd[0]) {\n          res = this.sqr(res);\n        }\n\n        if (bit === 0 && current === 0) {\n          currentLen = 0;\n          continue;\n        }\n\n        current <<= 1;\n        current |= bit;\n        currentLen++;\n        if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;\n\n        res = this.mul(res, wnd[current]);\n        currentLen = 0;\n        current = 0;\n      }\n      start = 26;\n    }\n\n    return res;\n  };\n\n  Red.prototype.convertTo = function convertTo (num) {\n    var r = num.umod(this.m);\n\n    return r === num ? r.clone() : r;\n  };\n\n  Red.prototype.convertFrom = function convertFrom (num) {\n    var res = num.clone();\n    res.red = null;\n    return res;\n  };\n\n  //\n  // Montgomery method engine\n  //\n\n  BN.mont = function mont (num) {\n    return new Mont(num);\n  };\n\n  function Mont (m) {\n    Red.call(this, m);\n\n    this.shift = this.m.bitLength();\n    if (this.shift % 26 !== 0) {\n      this.shift += 26 - (this.shift % 26);\n    }\n\n    this.r = new BN(1).iushln(this.shift);\n    this.r2 = this.imod(this.r.sqr());\n    this.rinv = this.r._invmp(this.m);\n\n    this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);\n    this.minv = this.minv.umod(this.r);\n    this.minv = this.r.sub(this.minv);\n  }\n  inherits(Mont, Red);\n\n  Mont.prototype.convertTo = function convertTo (num) {\n    return this.imod(num.ushln(this.shift));\n  };\n\n  Mont.prototype.convertFrom = function convertFrom (num) {\n    var r = this.imod(num.mul(this.rinv));\n    r.red = null;\n    return r;\n  };\n\n  Mont.prototype.imul = function imul (a, b) {\n    if (a.isZero() || b.isZero()) {\n      a.words[0] = 0;\n      a.length = 1;\n      return a;\n    }\n\n    var t = a.imul(b);\n    var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n    var u = t.isub(c).iushrn(this.shift);\n    var res = u;\n\n    if (u.cmp(this.m) >= 0) {\n      res = u.isub(this.m);\n    } else if (u.cmpn(0) < 0) {\n      res = u.iadd(this.m);\n    }\n\n    return res._forceRed(this);\n  };\n\n  Mont.prototype.mul = function mul (a, b) {\n    if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);\n\n    var t = a.mul(b);\n    var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n    var u = t.isub(c).iushrn(this.shift);\n    var res = u;\n    if (u.cmp(this.m) >= 0) {\n      res = u.isub(this.m);\n    } else if (u.cmpn(0) < 0) {\n      res = u.iadd(this.m);\n    }\n\n    return res._forceRed(this);\n  };\n\n  Mont.prototype.invm = function invm (a) {\n    // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R\n    var res = this.imod(a._invmp(this.m).mul(this.r2));\n    return res._forceRed(this);\n  };\n})(typeof module === 'undefined' || module, this);\n","const U32_MASK64 = /* @__PURE__ */ (() => BigInt(2 ** 32 - 1))();\nconst _32n = /* @__PURE__ */ BigInt(32);\n// Split bigint into two 32-bit halves. With `le=true`, returned fields become `{ h: low, l: high\n// }` to match little-endian word order rather than the property names.\nfunction fromBig(n, le = false) {\n    if (le)\n        return { h: Number(n & U32_MASK64), l: Number((n >> _32n) & U32_MASK64) };\n    return { h: Number((n >> _32n) & U32_MASK64) | 0, l: Number(n & U32_MASK64) | 0 };\n}\n// Split bigint list into `[highWords, lowWords]` when `le=false`; with `le=true`, the first array\n// holds the low halves because `fromBig(...)` swaps the semantic meaning of `h` and `l`.\nfunction split(lst, le = false) {\n    const len = lst.length;\n    let Ah = new Uint32Array(len);\n    let Al = new Uint32Array(len);\n    for (let i = 0; i < len; i++) {\n        const { h, l } = fromBig(lst[i], le);\n        [Ah[i], Al[i]] = [h, l];\n    }\n    return [Ah, Al];\n}\n// Combine explicit `(high, low)` 32-bit halves into a bigint; `>>> 0` normalizes signed JS\n// bitwise results back to uint32 first, and little-endian callers must swap.\nconst toBig = (h, l) => (BigInt(h >>> 0) << _32n) | BigInt(l >>> 0);\n// Split a JS number into u32 halves without a BigInt allocation. Exact only for integers\n// `0 <= n < 2**53`; callers use it on byte / bit counters, which JS length math caps far below\n// that (an ArrayBuffer cannot exceed 2**53 - 1 bytes).\nconst fromNumH = (n) => (n / 2 ** 32) | 0;\nconst fromNumL = (n) => n >>> 0;\n// Drop-in replacement for `view.setBigUint64(byteOffset, BigInt(n), isLE)` without the per-call\n// BigInt allocation. Same `n < 2**53` precondition as `fromNumH`/`fromNumL`.\nfunction setU64FromNum(view, byteOffset, n, isLE) {\n    const h = fromNumH(n);\n    const l = fromNumL(n);\n    view.setUint32(byteOffset, isLE ? l : h, isLE);\n    view.setUint32(byteOffset + 4, isLE ? h : l, isLE);\n}\n// High 32-bit half of a 64-bit logical right shift for `s` in `0..31`.\nconst shrSH = (h, _l, s) => h >>> s;\n// Low 32-bit half of a 64-bit logical right shift, valid for `s` in `1..31`.\nconst shrSL = (h, l, s) => (h << (32 - s)) | (l >>> s);\n// High 32-bit half of a 64-bit right rotate, valid for `s` in `1..31`.\nconst rotrSH = (h, l, s) => (h >>> s) | (l << (32 - s));\n// Low 32-bit half of a 64-bit right rotate, valid for `s` in `1..31`.\nconst rotrSL = (h, l, s) => (h << (32 - s)) | (l >>> s);\n// High 32-bit half of a 64-bit right rotate, valid for `s` in `33..63`; `32` uses `rotr32*`.\nconst rotrBH = (h, l, s) => (h << (64 - s)) | (l >>> (s - 32));\n// Low 32-bit half of a 64-bit right rotate, valid for `s` in `33..63`; `32` uses `rotr32*`.\nconst rotrBL = (h, l, s) => (h >>> (s - 32)) | (l << (64 - s));\n// High 32-bit half of a 64-bit right rotate for `s === 32`; this is just the swapped low half.\nconst rotr32H = (_h, l) => l;\n// Low 32-bit half of a 64-bit right rotate for `s === 32`; this is just the swapped high half.\nconst rotr32L = (h, _l) => h;\n// 64-bit left rotates (rotl*) are not defined here: sha3.ts, their only consumer, keeps\n// local copies so V8 inlines them into keccakP.\n// Add two split 64-bit words and return the split `{ h, l }` sum.\n// JS uses 32-bit signed integers for bitwise operations, so we cannot simply shift the carry out\n// of the low sum and instead use division.\nfunction add(Ah, Al, Bh, Bl) {\n    const l = (Al >>> 0) + (Bl >>> 0);\n    return { h: (Ah + Bh + ((l / 2 ** 32) | 0)) | 0, l: l | 0 };\n}\n// Addition with more than 2 elements\n// Unmasked low-word accumulator for 3-way addition; pass the raw result into `add3H(...)`.\nconst add3L = (Al, Bl, Cl) => (Al >>> 0) + (Bl >>> 0) + (Cl >>> 0);\n// High-word finalize step for 3-way addition; `low` must be the untruncated output of `add3L(...)`.\nconst add3H = (low, Ah, Bh, Ch) => (Ah + Bh + Ch + ((low / 2 ** 32) | 0)) | 0;\n// Unmasked low-word accumulator for 4-way addition; pass the raw result into `add4H(...)`.\nconst add4L = (Al, Bl, Cl, Dl) => (Al >>> 0) + (Bl >>> 0) + (Cl >>> 0) + (Dl >>> 0);\n// High-word finalize step for 4-way addition; `low` must be the untruncated output of `add4L(...)`.\nconst add4H = (low, Ah, Bh, Ch, Dh) => (Ah + Bh + Ch + Dh + ((low / 2 ** 32) | 0)) | 0;\n// Unmasked low-word accumulator for 5-way addition; pass the raw result into `add5H(...)`.\nconst add5L = (Al, Bl, Cl, Dl, El) => (Al >>> 0) + (Bl >>> 0) + (Cl >>> 0) + (Dl >>> 0) + (El >>> 0);\n// High-word finalize step for 5-way addition; `low` must be the untruncated output of `add5L(...)`.\nconst add5H = (low, Ah, Bh, Ch, Dh, Eh) => (Ah + Bh + Ch + Dh + Eh + ((low / 2 ** 32) | 0)) | 0;\n// prettier-ignore\nexport { add, add3H, add3L, add4H, add4L, add5H, add5L, fromBig, fromNumH, fromNumL, rotr32H, rotr32L, rotrBH, rotrBL, rotrSH, rotrSL, setU64FromNum, shrSH, shrSL, split, toBig };\n","/**\n * Checks if something is Uint8Array. Be careful: nodejs Buffer will return true.\n * @param a - value to test\n * @returns `true` when the value is a Uint8Array-compatible view.\n * @example\n * Check whether a value is a Uint8Array-compatible view.\n * ```ts\n * isBytes(new Uint8Array([1, 2, 3]));\n * ```\n */\nexport function isBytes(a) {\n    // Plain `instanceof Uint8Array` is too strict for some Buffer / proxy / cross-realm cases.\n    // The fallback still requires a real ArrayBuffer view, so plain\n    // JSON-deserialized `{ constructor: ... }` spoofing is rejected, and\n    // `BYTES_PER_ELEMENT === 1` keeps the fallback on byte-oriented views.\n    return (a instanceof Uint8Array ||\n        (ArrayBuffer.isView(a) &&\n            a.constructor.name === 'Uint8Array' &&\n            'BYTES_PER_ELEMENT' in a &&\n            a.BYTES_PER_ELEMENT === 1));\n}\n// Shared error-message prefix builder. Only called on throw paths, so assert\n// success paths never pay for the string concatenation.\nconst atitle = (title) => (title ? `\"${title}\" ` : '');\n/**\n * Asserts something is a non-negative integer.\n * @param n - number to validate\n * @param title - label included in thrown errors\n * @returns The validated number.\n * @throws On wrong argument types. {@link TypeError}\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Validate a non-negative integer option.\n * ```ts\n * anumber(32, 'length');\n * ```\n */\nexport function anumber(n, title = '') {\n    if (typeof n !== 'number')\n        throw new TypeError(atitle(title) + 'expected number, got ' + typeof n);\n    if (!Number.isSafeInteger(n) || n < 0)\n        throw new RangeError(atitle(title) + 'expected integer >= 0, got ' + n);\n    return n;\n}\n/**\n * Asserts something is a boolean.\n * @param value - value to validate\n * @param title - label included in thrown errors\n * @returns The validated boolean.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Validate a boolean option.\n * ```ts\n * abool(true, 'enableXOF');\n * ```\n */\nexport function abool(value, title = '') {\n    if (typeof value !== 'boolean')\n        throw new TypeError(atitle(title) + 'expected boolean, got type=' + typeof value);\n    return value;\n}\n/**\n * Asserts something is Uint8Array.\n * @param value - value to validate\n * @param length - optional exact length constraint\n * @param title - label included in thrown errors\n * @returns The validated byte array.\n * @throws On wrong argument types. {@link TypeError}\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Validate that a value is a byte array.\n * ```ts\n * abytes(new Uint8Array([1, 2, 3]));\n * ```\n */\nexport function abytes(value, length, title = '') {\n    // Success path first: this runs at the start of every update() / digestInto(), and the\n    // common `abytes(data)` form must not pay for length handling it does not use.\n    if (isBytes(value) && (length === undefined || value.length === length))\n        return value;\n    // Error path: recompute freely to build the exact message.\n    if (length !== undefined)\n        anumber(length, 'length');\n    const bytes = isBytes(value);\n    const ofLen = length !== undefined ? ` of length ${length}` : '';\n    const got = bytes ? `length=${value.length}` : `type=${typeof value}`;\n    const message = atitle(title) + 'expected Uint8Array' + ofLen + ', got ' + got;\n    if (!bytes)\n        throw new TypeError(message);\n    throw new RangeError(message);\n}\n/**\n * Copies bytes into a fresh Uint8Array.\n * Buffer-style slices can alias the same backing store, so callers that need ownership should copy.\n * @param bytes - source bytes to clone\n * @returns Freshly allocated copy of `bytes`.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Clone a byte array before mutating it.\n * ```ts\n * const copy = copyBytes(new Uint8Array([1, 2, 3]));\n * ```\n */\nexport function copyBytes(bytes) {\n    // `Uint8Array.from(...)` would also accept arrays / other typed arrays. Keep this helper strict\n    // because callers use it at byte-validation boundaries before mutating the detached copy.\n    return Uint8Array.from(abytes(bytes));\n}\n/**\n * Asserts something is a wrapped hash constructor.\n * @param h - hash constructor to validate\n * @throws On wrong argument types or invalid hash wrapper shape. {@link TypeError}\n * @throws On invalid hash metadata ranges or values. {@link RangeError}\n * @throws If the hash metadata allows empty outputs or block sizes. {@link Error}\n * @example\n * Validate a callable hash wrapper.\n * ```ts\n * import { ahash } from '@noble/hashes/utils.js';\n * import { sha256 } from '@noble/hashes/sha2.js';\n * ahash(sha256);\n * ```\n */\nexport function ahash(h) {\n    if (typeof h !== 'function' || typeof h.create !== 'function')\n        throw new TypeError('expected hash wrapped by utils.createHasher');\n    anumber(h.outputLen);\n    anumber(h.blockLen);\n    // HMAC and KDF callers treat these as real byte lengths; allowing zero lets fake wrappers pass\n    // validation and can produce empty outputs instead of failing fast.\n    if (h.outputLen < 1 || h.blockLen < 1)\n        throw new Error('hash blockLen / outputLen must be >= 1');\n}\nconst aobject = (value, label) => {\n    if (value === null || typeof value !== 'object' || Array.isArray(value))\n        throw new TypeError((label === 'object' ? '' : `\"${label}\" `) + 'expected object, got type=' + typeof value);\n};\n/**\n * Asserts a hash instance has not been destroyed or finished.\n * @param instance - hash instance to validate\n * @param checkFinished - whether to reject finalized instances\n * @throws If the hash instance has already been destroyed or finalized. {@link Error}\n * @example\n * Validate that a hash instance is still usable.\n * ```ts\n * import { aexists } from '@noble/hashes/utils.js';\n * import { sha256 } from '@noble/hashes/sha2.js';\n * const hash = sha256.create();\n * aexists(hash);\n * ```\n */\nexport function aexists(instance, checkFinished = true) {\n    // Runs on every update()/digestInto(); the flags are library-owned booleans, so only their\n    // truthiness is checked - re-validating their type per call was pure hot-path overhead.\n    if (instance.destroyed)\n        throw new Error('hash was destroyed');\n    if (checkFinished && instance.finished)\n        throw new Error('digest() was already called');\n}\n/**\n * Asserts output is a sufficiently-sized byte array.\n * @param out - destination buffer\n * @param instance - hash instance providing output length\n * Oversized buffers are allowed; downstream code only promises to fill the first `outputLen` bytes.\n * @throws On wrong argument types. {@link TypeError}\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Validate a caller-provided digest buffer.\n * ```ts\n * import { aoutput } from '@noble/hashes/utils.js';\n * import { sha256 } from '@noble/hashes/sha2.js';\n * const hash = sha256.create();\n * aoutput(new Uint8Array(hash.outputLen), hash);\n * ```\n */\nexport function aoutput(out, instance) {\n    abytes(out, undefined, 'output');\n    // `outputLen` is a library-owned readonly number; the negated comparison keeps failing fast\n    // when it is missing/NaN (comparisons with undefined/NaN are false) without an anumber() call.\n    const min = instance.outputLen;\n    if (!(out.length >= min)) {\n        throw new RangeError('\"output\" expected length >= ' + min);\n    }\n}\n/**\n * Casts a typed array view to Uint8Array.\n * @param arr - source typed array\n * @returns Uint8Array view over the same buffer.\n * @example\n * Reinterpret a typed array as bytes.\n * ```ts\n * u8(new Uint32Array([1, 2]));\n * ```\n */\nexport function u8(arr) {\n    return new Uint8Array(arr.buffer, arr.byteOffset, arr.byteLength);\n}\n/**\n * Casts a typed array view to Uint32Array.\n * `arr.byteOffset` must already be 4-byte aligned or the platform\n * Uint32Array constructor will throw.\n * @param arr - source typed array\n * @returns Uint32Array view over the same buffer.\n * @example\n * Reinterpret a byte array as 32-bit words.\n * ```ts\n * u32(new Uint8Array(8));\n * ```\n */\nexport function u32(arr) {\n    return new Uint32Array(arr.buffer, arr.byteOffset, Math.floor(arr.byteLength / 4));\n}\n/**\n * Zeroizes typed arrays in place. Warning: JS provides no guarantees.\n * @param arrays - arrays to overwrite with zeros\n * @example\n * Zeroize sensitive buffers in place.\n * ```ts\n * clean(new Uint8Array([1, 2, 3]));\n * ```\n */\nexport function clean(...arrays) {\n    for (let i = 0; i < arrays.length; i++) {\n        arrays[i].fill(0);\n    }\n}\n/**\n * Creates a DataView for byte-level manipulation.\n * @param arr - source typed array\n * @returns DataView over the same buffer region.\n * @example\n * Create a DataView over an existing buffer.\n * ```ts\n * createView(new Uint8Array(4));\n * ```\n */\nexport function createView(arr) {\n    return new DataView(arr.buffer, arr.byteOffset, arr.byteLength);\n}\n/**\n * Rotate-right operation for uint32 values.\n * @param word - source word\n * @param shift - shift amount in bits\n * @returns Rotated word.\n * @example\n * Rotate a 32-bit word to the right.\n * ```ts\n * rotr(0x12345678, 8);\n * ```\n */\nexport function rotr(word, shift) {\n    return (word << (32 - shift)) | (word >>> shift);\n}\n/**\n * Rotate-left operation for uint32 values.\n * @param word - source word\n * @param shift - shift amount in bits\n * @returns Rotated word.\n * @example\n * Rotate a 32-bit word to the left.\n * ```ts\n * rotl(0x12345678, 8);\n * ```\n */\nexport function rotl(word, shift) {\n    return (word << shift) | ((word >>> (32 - shift)) >>> 0);\n}\n/** Whether the current platform is little-endian. */\nexport const isLE = /* @__PURE__ */ (() => new Uint8Array(new Uint32Array([0x11223344]).buffer)[0] === 0x44)();\n/**\n * Byte-swap operation for uint32 values.\n * @param word - source word\n * @returns Word with reversed byte order.\n * @example\n * Reverse the byte order of a 32-bit word.\n * ```ts\n * byteSwap(0x11223344);\n * ```\n */\nexport function byteSwap(word) {\n    return (((word << 24) & 0xff000000) |\n        ((word << 8) & 0xff0000) |\n        ((word >>> 8) & 0xff00) |\n        ((word >>> 24) & 0xff));\n}\n/**\n * Conditionally byte-swaps one 32-bit word on big-endian platforms.\n * @param n - source word\n * @returns Original or byte-swapped word depending on platform endianness.\n * @example\n * Normalize a 32-bit word for host endianness.\n * ```ts\n * swap8IfBE(0x11223344);\n * ```\n */\nexport const swap8IfBE = isLE\n    ? (n) => n\n    : (n) => byteSwap(n) >>> 0;\n/**\n * Byte-swaps every word of a Uint32Array in place.\n * @param arr - array to mutate\n * @returns The same array after mutation; callers pass live state arrays here.\n * @example\n * Reverse the byte order of every word in place.\n * ```ts\n * byteSwap32(new Uint32Array([0x11223344]));\n * ```\n */\nexport function byteSwap32(arr) {\n    for (let i = 0; i < arr.length; i++) {\n        arr[i] = byteSwap(arr[i]);\n    }\n    return arr;\n}\n/**\n * Conditionally byte-swaps a Uint32Array on big-endian platforms.\n * @param u - array to normalize for host endianness\n * @returns Original or byte-swapped array depending on platform endianness.\n *   On big-endian runtimes this mutates `u` in place via `byteSwap32(...)`.\n * @example\n * Normalize a word array for host endianness.\n * ```ts\n * swap32IfBE(new Uint32Array([0x11223344]));\n * ```\n */\nexport const swap32IfBE = isLE\n    ? (u) => u\n    : byteSwap32;\n// Built-in hex conversion https://caniuse.com/mdn-javascript_builtins_uint8array_fromhex\nconst hasHexBuiltin = /* @__PURE__ */ (() => \n// @ts-ignore\ntypeof Uint8Array.from([]).toHex === 'function' && typeof Uint8Array.fromHex === 'function')();\n// Array where index 0xf0 (240) is mapped to string 'f0'\nconst hexes = /* @__PURE__ */ Array.from({ length: 256 }, (_, i) => i.toString(16).padStart(2, '0'));\n/**\n * Convert byte array to hex string.\n * Uses the built-in function when available and assumes it matches the tested\n * fallback semantics.\n * @param bytes - bytes to encode\n * @returns Lowercase hexadecimal string.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Convert bytes to lowercase hexadecimal.\n * ```ts\n * bytesToHex(Uint8Array.from([0xca, 0xfe, 0x01, 0x23])); // 'cafe0123'\n * ```\n */\nexport function bytesToHex(bytes) {\n    abytes(bytes);\n    // @ts-ignore\n    if (hasHexBuiltin)\n        return bytes.toHex();\n    // pre-caching improves the speed 6x\n    let hex = '';\n    for (let i = 0; i < bytes.length; i++) {\n        hex += hexes[bytes[i]];\n    }\n    return hex;\n}\n// Strict ASCII nibble parser: non-ASCII hex lookalikes are rejected as undefined.\n// ASCII codes: '0'..'9' = 48..57, 'A'..'F' = 65..70, 'a'..'f' = 97..102.\n// prettier-ignore\nfunction asciiToBase16(ch) {\n    return ch >= 48 && ch <= 57 ? ch - 48 // '2' => 50-48\n        : ch >= 65 && ch <= 70 ? ch - (65 - 10) // 'B' => 66-(65-10)\n            : ch >= 97 && ch <= 102 ? ch - (97 - 10) // 'b' => 98-(97-10)\n                : undefined;\n}\n/**\n * Convert hex string to byte array. Uses built-in function, when available.\n * @param hex - hexadecimal string to decode\n * @returns Decoded bytes.\n * @throws On wrong argument types. {@link TypeError}\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Decode lowercase hexadecimal into bytes.\n * ```ts\n * hexToBytes('cafe0123'); // Uint8Array.from([0xca, 0xfe, 0x01, 0x23])\n * ```\n */\nexport function hexToBytes(hex) {\n    if (typeof hex !== 'string')\n        throw new TypeError('hex string expected, got ' + typeof hex);\n    if (hasHexBuiltin) {\n        try {\n            return Uint8Array.fromHex(hex);\n        }\n        catch (error) {\n            if (error instanceof SyntaxError)\n                throw new RangeError(error.message);\n            throw error;\n        }\n    }\n    const hl = hex.length;\n    const al = hl / 2;\n    if (hl % 2)\n        throw new RangeError('hex string expected, got unpadded hex of length ' + hl);\n    const array = new Uint8Array(al);\n    for (let ai = 0, hi = 0; ai < al; ai++, hi += 2) {\n        const n1 = asciiToBase16(hex.charCodeAt(hi)); // parse first char, multiply it by 16\n        const n2 = asciiToBase16(hex.charCodeAt(hi + 1)); // parse second char\n        if (n1 === undefined || n2 === undefined) {\n            const char = hex[hi] + hex[hi + 1];\n            throw new RangeError('hex string expected, got non-hex character \"' + char + '\" at index ' + hi);\n        }\n        array[ai] = n1 * 16 + n2; // example: 'A9' => 10*16 + 9\n    }\n    return array;\n}\n/**\n * There is no setImmediate in browser and setTimeout is slow.\n * This yields to the Promise/microtask scheduler queue, not to timers or the\n * full macrotask event loop.\n * @example\n * Yield to the next scheduler tick.\n * ```ts\n * await nextTick();\n * ```\n */\nexport const nextTick = async () => { };\n/**\n * Returns control to the Promise/microtask scheduler every `tick`\n * milliseconds to avoid blocking long loops.\n * @param iters - number of loop iterations to run\n * @param tick - maximum time slice in milliseconds\n * @param cb - callback executed on each iteration\n * @throws On wrong argument types. {@link TypeError}\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Run a loop that periodically yields back to the event loop.\n * ```ts\n * await asyncLoop(2, 0, () => {});\n * ```\n */\nexport async function asyncLoop(iters, tick, cb) {\n    anumber(iters, 'iters');\n    anumber(tick, 'tick');\n    if (typeof cb !== 'function')\n        throw new TypeError('callback must be a function');\n    // Callback is synchronous by contract; asyncLoop only yields between sync work windows.\n    let ts = Date.now();\n    for (let i = 0; i < iters; i++) {\n        cb(i);\n        // Date.now() is not monotonic, so in case if clock goes backwards we return return control too\n        const diff = Date.now() - ts;\n        if (diff >= 0 && diff < tick)\n            continue;\n        await nextTick();\n        // Track only synchronous work time; scheduler delay after yielding is outside our budget.\n        ts += diff;\n    }\n}\n/**\n * Converts string to bytes using UTF8 encoding.\n * Built-in doesn't validate input to be string: we do the check.\n * Non-ASCII details are delegated to the platform `TextEncoder`.\n * @param str - string to encode\n * @returns UTF-8 encoded bytes.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Encode a string as UTF-8 bytes.\n * ```ts\n * utf8ToBytes('abc'); // Uint8Array.from([97, 98, 99])\n * ```\n */\nexport function utf8ToBytes(str) {\n    if (typeof str !== 'string')\n        throw new TypeError('string expected');\n    return new Uint8Array(new TextEncoder().encode(str)); // https://bugzil.la/1681809\n}\n/**\n * Helper for KDFs: consumes Uint8Array or string.\n * String inputs are UTF-8 encoded; byte-array inputs stay aliased to the caller buffer.\n * @param data - user-provided KDF input\n * @param errorTitle - label included in thrown errors\n * @returns Byte representation of the input.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Normalize KDF input to bytes.\n * ```ts\n * kdfInputToBytes('password');\n * ```\n */\nexport function kdfInputToBytes(data, errorTitle = '') {\n    if (typeof data === 'string')\n        return utf8ToBytes(data);\n    return abytes(data, undefined, errorTitle);\n}\n/**\n * Copies several Uint8Arrays into one.\n * @param arrays - arrays to concatenate\n * @returns Concatenated byte array.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Concatenate multiple byte arrays.\n * ```ts\n * concatBytes(new Uint8Array([1]), new Uint8Array([2]));\n * ```\n */\nexport function concatBytes(...arrays) {\n    let sum = 0;\n    for (let i = 0; i < arrays.length; i++) {\n        const a = arrays[i];\n        abytes(a);\n        sum += a.length;\n    }\n    const res = new Uint8Array(sum);\n    for (let i = 0, pad = 0; i < arrays.length; i++) {\n        const a = arrays[i];\n        res.set(a, pad);\n        pad += a.length;\n    }\n    return res;\n}\n/**\n * Validates declared required and optional field types on a plain object.\n * This walks field schemas and formats detailed errors, so avoid it on hot paths; use direct\n * one-line guards such as `abytes()`, `abool()`, or `anumber()` instead.\n * @param object - object to validate\n * @param fields - map of required field names to expected types\n * @param optFields - map of optional field names to expected types\n * @param title - label included in thrown errors\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Validate required and optional option fields.\n * ```ts\n * validateObject({ N: 1024, dkLen: 32 }, { N: 'number' }, { dkLen: 'number' });\n * ```\n */\nexport const validateObject = (object, fields = {}, optFields = {}, title = 'object') => {\n    aobject(object, title);\n    aobject(fields, 'fields');\n    aobject(optFields, 'optFields');\n    function checkField(fieldName, expectedType, isOpt) {\n        const label = title === 'object' ? `param \"${String(fieldName)}\"` : `\"${title}.${String(fieldName)}\"`;\n        // Config fields must be explicit own properties. Optional inherited values are rejected too\n        // because callers keep reading the same options object after validation.\n        const val = object[fieldName];\n        // Runtime objects such as Field instances intentionally satisfy required method slots\n        // via their shared prototype.\n        if (!Object.hasOwn(object, fieldName) &&\n            (isOpt ? val !== undefined : expectedType !== 'function')) {\n            throw new TypeError(`${label} is invalid: expected own property`);\n        }\n        if (isOpt && val === undefined)\n            return;\n        const current = typeof val;\n        if (current !== expectedType || val === null)\n            throw new TypeError(`${label} is invalid: expected ${expectedType}, got ${current}`);\n    }\n    const iter = (f, isOpt) => Object.entries(f).forEach(([k, v]) => checkField(k, v, isOpt));\n    iter(fields, false);\n    iter(optFields, true);\n};\n/**\n * Merges default options and passed options.\n * @param defaults - base option object\n * @param opts - user overrides\n * @param title - label included in thrown override errors\n * @returns Merged option object. The merge mutates `defaults` in place.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Merge user overrides onto default options.\n * ```ts\n * checkOpts({ dkLen: 32 }, { asyncTick: 10 });\n * ```\n */\nexport function checkOpts(defaults, opts, title = 'opts') {\n    aobject(defaults, 'defaults');\n    if (opts !== undefined)\n        aobject(opts, title);\n    const merged = Object.assign(defaults, opts);\n    return merged;\n}\n/**\n * Creates a callable hash function from a stateful class constructor.\n * @param hashCons - hash constructor or factory\n * @param info - optional metadata such as DER OID\n * @returns Frozen callable hash wrapper with `.create()`.\n *   Wrapper construction eagerly calls `hashCons(undefined)` once to read\n *   `outputLen` / `blockLen`, so constructor side effects happen at module\n *   init time.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Wrap a stateful hash constructor into a callable helper.\n * ```ts\n * import { createHasher } from '@noble/hashes/utils.js';\n * import { sha256 } from '@noble/hashes/sha2.js';\n * const wrapped = createHasher(sha256.create, { oid: sha256.oid });\n * wrapped(new Uint8Array([1]));\n * ```\n */\nexport function createHasher(hashCons, info = {}) {\n    if (typeof hashCons !== 'function')\n        throw new TypeError('\"hashCons\" expected function, got type=' + typeof hashCons);\n    info = checkOpts({}, info, 'info');\n    const hashC = (msg, opts) => hashCons(opts)\n        .update(msg)\n        .digest();\n    const tmp = hashCons(undefined);\n    hashC.outputLen = tmp.outputLen;\n    hashC.blockLen = tmp.blockLen;\n    hashC.canXOF = tmp.canXOF;\n    hashC.create = (opts) => hashCons(opts);\n    Object.assign(hashC, info);\n    return Object.freeze(hashC);\n}\n/**\n * Cryptographically secure PRNG backed by `crypto.getRandomValues`.\n * @param bytesLength - number of random bytes to generate\n * @returns Random bytes.\n * The platform `getRandomValues()` implementation still defines any\n * single-call length cap, and this helper rejects oversize requests\n * with a stable library `RangeError` instead of host-specific errors.\n * @throws On wrong argument types. {@link TypeError}\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @throws If the current runtime does not provide `crypto.getRandomValues`. {@link Error}\n * @example\n * Generate a fresh random key or nonce.\n * ```ts\n * const key = randomBytes(16);\n * ```\n */\nexport function randomBytes(bytesLength = 32) {\n    // Match the repo's other length-taking helpers instead of relying on Uint8Array coercion.\n    anumber(bytesLength, 'bytesLength');\n    const cr = typeof globalThis === 'object' ? globalThis.crypto : null;\n    if (typeof cr?.getRandomValues !== 'function')\n        throw new Error('crypto.getRandomValues must be defined');\n    // Web Cryptography API Level 2 §10.1.1:\n    // if `byteLength > 65536`, throw `QuotaExceededError`.\n    // Keep the guard explicit so callers can see the quota in code\n    // instead of discovering it by reading the spec or host errors.\n    // This wrapper surfaces the same quota as a stable library RangeError.\n    if (bytesLength > 65536)\n        throw new RangeError(`\"bytesLength\" expected <= 65536, got ${bytesLength}`);\n    return cr.getRandomValues(new Uint8Array(bytesLength));\n}\n/**\n * Creates OID metadata for NIST hashes with prefix `06 09 60 86 48 01 65 03 04 02`.\n * @param suffix - final OID byte for the selected hash.\n *   The helper accepts any byte even though only the documented NIST hash\n *   suffixes are meaningful downstream.\n * @returns Object containing the DER-encoded OID.\n * @example\n * Build OID metadata for a NIST hash.\n * ```ts\n * oidNist(0x01);\n * ```\n */\nexport const oidNist = (suffix) => ({\n    // Current NIST hashAlgs suffixes used here fit in one DER subidentifier octet.\n    // Larger suffix values would need base-128 OID encoding and a different length byte.\n    oid: Uint8Array.from([0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, suffix]),\n});\n","/**\n * Internal Merkle-Damgard hash utils.\n * @module\n */\nimport { setU64FromNum } from \"./_u64.js\";\nimport { abytes, aexists, aoutput, createView } from \"./utils.js\";\n/**\n * Shared 32-bit conditional boolean primitive reused by SHA-256, SHA-1, and MD5 `F`.\n * Returns bits from `b` when `a` is set, otherwise from `c`.\n * The XOR form is equivalent to MD5's `F(X,Y,Z) = XY v not(X)Z` because the masked terms never\n * set the same bit.\n * @param a - selector word\n * @param b - word chosen when selector bit is set\n * @param c - word chosen when selector bit is clear\n * @returns Mixed 32-bit word.\n * @example\n * Combine three words with the shared 32-bit choice primitive.\n * ```ts\n * Chi(0xffffffff, 0x12345678, 0x87654321);\n * ```\n */\nexport function Chi(a, b, c) {\n    return (a & b) ^ (~a & c);\n}\n/**\n * Shared 32-bit majority primitive reused by SHA-256 and SHA-1.\n * Returns bits shared by at least two inputs.\n * @param a - first input word\n * @param b - second input word\n * @param c - third input word\n * @returns Mixed 32-bit word.\n * @example\n * Combine three words with the shared 32-bit majority primitive.\n * ```ts\n * Maj(0xffffffff, 0x12345678, 0x87654321);\n * ```\n */\nexport function Maj(a, b, c) {\n    return (a & b) ^ (a & c) ^ (b & c);\n}\n/**\n * Merkle-Damgard hash construction base class.\n * Could be used to create MD5, RIPEMD, SHA1, SHA2.\n * Accepts only byte-aligned `Uint8Array` input, even when the underlying spec describes bit\n * strings with partial-byte tails.\n * @param blockLen - internal block size in bytes\n * @param outputLen - digest size in bytes\n * @param padOffset - trailing length field size in bytes\n * @param isLE - whether length and state words are encoded in little-endian\n * @example\n * Use a concrete subclass to get the shared Merkle-Damgard update/digest flow.\n * ```ts\n * import { _SHA1 } from '@noble/hashes/legacy.js';\n * const hash = new _SHA1();\n * hash.update(new Uint8Array([97, 98, 99]));\n * hash.digest();\n * ```\n */\nexport class HashMD {\n    blockLen;\n    outputLen;\n    canXOF = false;\n    padOffset;\n    isLE;\n    // For partial updates less than block size\n    buffer;\n    view;\n    finished = false;\n    length = 0;\n    pos = 0;\n    destroyed = false;\n    constructor(blockLen, outputLen, padOffset, isLE) {\n        this.blockLen = blockLen;\n        this.outputLen = outputLen;\n        this.padOffset = padOffset;\n        this.isLE = isLE;\n        this.buffer = new Uint8Array(blockLen);\n        this.view = createView(this.buffer);\n    }\n    update(data) {\n        aexists(this);\n        abytes(data);\n        const { view, buffer, blockLen } = this;\n        const len = data.length;\n        let processed = false;\n        for (let pos = 0; pos < len;) {\n            const take = Math.min(blockLen - this.pos, len - pos);\n            // Fast path only when there is no buffered partial block: `take === blockLen` implies\n            // `this.pos === 0`, so we can process full blocks directly from the input view.\n            if (take === blockLen) {\n                const dataView = createView(data);\n                for (; blockLen <= len - pos; pos += blockLen)\n                    this.process(dataView, pos);\n                processed = true;\n                continue;\n            }\n            // When the whole input is buffered in one go (common for short messages), passing `data`\n            // directly avoids allocating a subarray view.\n            buffer.set(pos === 0 && take === len ? data : data.subarray(pos, pos + take), this.pos);\n            this.pos += take;\n            pos += take;\n            if (this.pos === blockLen) {\n                this.process(view, 0);\n                this.pos = 0;\n                processed = true;\n            }\n        }\n        this.length += data.length;\n        // Shared schedule buffers only pick up input-derived words inside process(); if everything\n        // was buffered without processing, there is nothing to zero.\n        if (processed)\n            this.roundClean();\n        return this;\n    }\n    digestInto(out) {\n        aexists(this);\n        aoutput(out, this);\n        this.finished = true;\n        // Padding\n        // We can avoid allocation of buffer for padding completely if it\n        // was previously not allocated here. But it won't change performance.\n        const { buffer, view, blockLen, isLE } = this;\n        let { pos } = this;\n        // append the bit '1' to the message, then zero-pad the rest of the block\n        buffer[pos++] = 0b10000000;\n        buffer.fill(0, pos);\n        // we have less than padOffset left in buffer, so we cannot put length in\n        // current block, need process it and pad again\n        if (this.padOffset > blockLen - pos) {\n            this.process(view, 0);\n            buffer.fill(0);\n        }\n        // `padOffset` reserves the whole length field. For SHA-384/512 the high 64 bits stay zero from\n        // the padding fill above, and JS will overflow before user input can make that half non-zero.\n        // So we only need to write the low 64 bits here (`length * 8` only scales the exponent of an\n        // integer below 2**53, so the split inside the helper stays exact).\n        setU64FromNum(view, blockLen - 8, this.length * 8, isLE);\n        this.process(view, 0);\n        // The final block above is processed outside update(), so the shared message-schedule\n        // buffers (e.g. SHA256_W) would otherwise retain input-derived words after digest().\n        this.roundClean();\n        // digest() passes our own `buffer` as `out`; reuse its cached view instead of allocating one.\n        const oview = out === buffer ? view : createView(out);\n        const len = this.outputLen;\n        // NOTE: we do division by 4 later, which must be fused in single op with modulo by JIT\n        const outLen = len / 4;\n        const state = this.get();\n        // Subclass-misconfiguration invariant: outputLen must be 32-bit aligned and fit the state.\n        if (len % 4 || outLen > state.length)\n            throw new Error('invalid outputLen');\n        for (let i = 0; i < outLen; i++)\n            oview.setUint32(4 * i, state[i], isLE);\n    }\n    digest() {\n        const { buffer, outputLen } = this;\n        this.digestInto(buffer);\n        // Copy before destroy(): subclasses wipe `buffer` during cleanup, but `digest()` must return\n        // fresh bytes to the caller.\n        const res = buffer.slice(0, outputLen);\n        this.destroy();\n        return res;\n    }\n    _cloneIntoMeta(to) {\n        const { buffer, length, finished, destroyed, pos } = this;\n        to.destroyed = destroyed;\n        to.finished = finished;\n        to.length = length;\n        to.pos = pos;\n        // Only partial-block bytes need copying: when `length % blockLen === 0`, `pos === 0` and\n        // later `update()` / `digestInto()` overwrite `to.buffer` from the start before reading it.\n        if (pos)\n            to.buffer.set(buffer); // Avoid a hot modulo guard.\n        return to;\n    }\n    clone() {\n        return this._cloneInto();\n    }\n}\n/**\n * Initial SHA-2 state: fractional parts of square roots of first 16 primes 2..53.\n * Check out `test/misc/sha2-gen-iv.js` for recomputation guide.\n */\n/** Initial SHA256 state from RFC 6234 §6.1: the first 32 bits of the fractional parts of the\n * square roots of the first eight prime numbers. Exported as a shared table; callers must treat\n * it as read-only because constructors copy words from it by index. */\nexport const SHA256_IV = /* @__PURE__ */ Uint32Array.from([\n    0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19,\n]);\n/** Initial SHA224 state `H(0)` from RFC 6234 §6.1. Exported as a shared table; callers must\n * treat it as read-only because constructors copy words from it by index. */\nexport const SHA224_IV = /* @__PURE__ */ Uint32Array.from([\n    0xc1059ed8, 0x367cd507, 0x3070dd17, 0xf70e5939, 0xffc00b31, 0x68581511, 0x64f98fa7, 0xbefa4fa4,\n]);\n/** Initial SHA384 state from RFC 6234 §6.3: eight RFC 64-bit `H(0)` words stored as sixteen\n * big-endian 32-bit halves. Derived from the fractional parts of the square roots of the ninth\n * through sixteenth prime numbers. Exported as a shared table; callers must treat it as read-only\n * because constructors copy halves from it by index. */\nexport const SHA384_IV = /* @__PURE__ */ Uint32Array.from([\n    0xcbbb9d5d, 0xc1059ed8, 0x629a292a, 0x367cd507, 0x9159015a, 0x3070dd17, 0x152fecd8, 0xf70e5939,\n    0x67332667, 0xffc00b31, 0x8eb44a87, 0x68581511, 0xdb0c2e0d, 0x64f98fa7, 0x47b5481d, 0xbefa4fa4,\n]);\n/** Initial SHA512 state from RFC 6234 §6.3: eight RFC 64-bit `H(0)` words stored as sixteen\n * big-endian 32-bit halves. Derived from the fractional parts of the square roots of the first\n * eight prime numbers. Exported as a shared table; callers must treat it as read-only because\n * constructors copy halves from it by index. */\nexport const SHA512_IV = /* @__PURE__ */ Uint32Array.from([\n    0x6a09e667, 0xf3bcc908, 0xbb67ae85, 0x84caa73b, 0x3c6ef372, 0xfe94f82b, 0xa54ff53a, 0x5f1d36f1,\n    0x510e527f, 0xade682d1, 0x9b05688c, 0x2b3e6c1f, 0x1f83d9ab, 0xfb41bd6b, 0x5be0cd19, 0x137e2179,\n]);\n","/**\n\nSHA1 (RFC 3174), MD5 (RFC 1321), and RIPEMD160 legacy, weak hash functions.\nRFC 2286 only covers HMAC-RIPEMD160 wrapper material and test vectors,\nnot the base RIPEMD-160 compression spec.\nDon't use them in a new protocol. What \"weak\" means:\n\n- Collisions can be made with 2^18 effort in MD5, 2^60 in SHA1, 2^80 in RIPEMD160.\n- No practical pre-image attacks (only theoretical, 2^123.4)\n- HMAC seems kinda ok: https://www.rfc-editor.org/rfc/rfc6151\n * @module\n */\nimport { Chi, HashMD, Maj } from \"./_md.js\";\nimport { clean, createHasher, rotl } from \"./utils.js\";\n/** Initial SHA-1 state from RFC 3174 §6.1. */\nconst SHA1_IV = /* @__PURE__ */ Uint32Array.from([\n    0x67452301, 0xefcdab89, 0x98badcfe, 0x10325476, 0xc3d2e1f0,\n]);\n// Reusable 80-word SHA-1 message schedule buffer.\nconst SHA1_W = /* @__PURE__ */ new Uint32Array(80);\n/** Internal SHA1 legacy hash class. */\nexport class _SHA1 extends HashMD {\n    A = SHA1_IV[0] | 0;\n    B = SHA1_IV[1] | 0;\n    C = SHA1_IV[2] | 0;\n    D = SHA1_IV[3] | 0;\n    E = SHA1_IV[4] | 0;\n    constructor() {\n        super(64, 20, 8, false);\n    }\n    get() {\n        const { A, B, C, D, E } = this;\n        return [A, B, C, D, E];\n    }\n    set(A, B, C, D, E) {\n        this.A = A | 0;\n        this.B = B | 0;\n        this.C = C | 0;\n        this.D = D | 0;\n        this.E = E | 0;\n    }\n    _cloneInto(to) {\n        (to ||= new this.constructor()).set(...this.get());\n        return this._cloneIntoMeta(to);\n    }\n    process(view, offset) {\n        for (let i = 0; i < 16; i++, offset += 4)\n            SHA1_W[i] = view.getUint32(offset, false);\n        for (let i = 16; i < 80; i++)\n            SHA1_W[i] = rotl(SHA1_W[i - 3] ^ SHA1_W[i - 8] ^ SHA1_W[i - 14] ^ SHA1_W[i - 16], 1);\n        // Compression function main loop, 80 rounds\n        let { A, B, C, D, E } = this;\n        for (let i = 0; i < 80; i++) {\n            let F, K;\n            if (i < 20) {\n                F = Chi(B, C, D);\n                K = 0x5a827999;\n            }\n            else if (i < 40) {\n                F = B ^ C ^ D;\n                K = 0x6ed9eba1;\n            }\n            else if (i < 60) {\n                F = Maj(B, C, D);\n                K = 0x8f1bbcdc;\n            }\n            else {\n                F = B ^ C ^ D;\n                K = 0xca62c1d6;\n            }\n            const T = (rotl(A, 5) + F + E + K + SHA1_W[i]) | 0;\n            E = D;\n            D = C;\n            C = rotl(B, 30);\n            B = A;\n            A = T;\n        }\n        // Add the compressed chunk to the current hash value\n        A = (A + this.A) | 0;\n        B = (B + this.B) | 0;\n        C = (C + this.C) | 0;\n        D = (D + this.D) | 0;\n        E = (E + this.E) | 0;\n        this.set(A, B, C, D, E);\n    }\n    roundClean() {\n        clean(SHA1_W);\n    }\n    destroy() {\n        // HashMD callers route post-destroy usability through `destroyed`; zeroizing alone still leaves\n        // update()/digest() callable on reused instances.\n        this.destroyed = true;\n        this.set(0, 0, 0, 0, 0);\n        clean(this.buffer);\n    }\n}\n/**\n * SHA1 (RFC 3174) legacy hash function. It was cryptographically broken.\n * @param msg - message bytes to hash\n * @param opts - Reserved hash options.\n * @returns Digest bytes.\n * @example\n * Hash a message with SHA1.\n * ```ts\n * sha1(new Uint8Array([97, 98, 99]));\n * ```\n */\nexport const sha1 = /* @__PURE__ */ createHasher(() => new _SHA1());\n/** RFC 1321 `T[i]` uses `floor(2^32 * abs(sin(i)))`; this is the shared `2^32` scale factor. */\nconst p32 = /* @__PURE__ */ Math.pow(2, 32);\n/** RFC 1321 `T[1..64]` table. */\nconst K = /* @__PURE__ */ Array.from({ length: 64 }, (_, i) => Math.floor(p32 * Math.abs(Math.sin(i + 1))));\n/** MD5 initial state from RFC 1321, stored as 4 u32 words. */\nconst MD5_IV = /* @__PURE__ */ SHA1_IV.slice(0, 4);\n// Reusable 16-word MD5 message block buffer.\nconst MD5_W = /* @__PURE__ */ new Uint32Array(16);\n// RFC 1321 §3.4 per-round rotate amounts, flattened to 64 entries so the round loop\n// avoids allocating a 4-element array literal every round (measured ~5% of md5).\nconst MD5_SHIFTS = /* @__PURE__ */ (() => {\n    const S = [\n        [7, 12, 17, 22],\n        [5, 9, 14, 20],\n        [4, 11, 16, 23],\n        [6, 10, 15, 21],\n    ];\n    return Uint8Array.from({ length: 64 }, (_, i) => S[Math.floor(i / 16)][i % 4]);\n})();\n/** Internal MD5 legacy hash class. */\nexport class _MD5 extends HashMD {\n    A = MD5_IV[0] | 0;\n    B = MD5_IV[1] | 0;\n    C = MD5_IV[2] | 0;\n    D = MD5_IV[3] | 0;\n    constructor() {\n        super(64, 16, 8, true);\n    }\n    get() {\n        const { A, B, C, D } = this;\n        return [A, B, C, D];\n    }\n    set(A, B, C, D) {\n        this.A = A | 0;\n        this.B = B | 0;\n        this.C = C | 0;\n        this.D = D | 0;\n    }\n    _cloneInto(to) {\n        (to ||= new this.constructor()).set(...this.get());\n        return this._cloneIntoMeta(to);\n    }\n    process(view, offset) {\n        for (let i = 0; i < 16; i++, offset += 4)\n            MD5_W[i] = view.getUint32(offset, true);\n        // Compression function main loop, 64 rounds\n        let { A, B, C, D } = this;\n        for (let i = 0; i < 64; i++) {\n            let F, g;\n            if (i < 16) {\n                F = Chi(B, C, D);\n                g = i;\n            }\n            else if (i < 32) {\n                // RFC 1321 round 2 uses G(B,C,D) = (B & D) | (C & ~D), which is `Chi(D, B, C)`.\n                F = Chi(D, B, C);\n                g = (5 * i + 1) % 16;\n            }\n            else if (i < 48) {\n                F = B ^ C ^ D;\n                g = (3 * i + 5) % 16;\n            }\n            else {\n                F = C ^ (B | ~D);\n                g = (7 * i) % 16;\n            }\n            F = F + A + K[i] + MD5_W[g];\n            A = D;\n            D = C;\n            C = B;\n            B = B + rotl(F, MD5_SHIFTS[i]);\n        }\n        // Add the compressed chunk to the current hash value\n        A = (A + this.A) | 0;\n        B = (B + this.B) | 0;\n        C = (C + this.C) | 0;\n        D = (D + this.D) | 0;\n        this.set(A, B, C, D);\n    }\n    roundClean() {\n        clean(MD5_W);\n    }\n    destroy() {\n        // HashMD callers route post-destroy usability through `destroyed`; zeroizing alone still leaves\n        // update()/digest() callable on reused instances.\n        this.destroyed = true;\n        this.set(0, 0, 0, 0);\n        clean(this.buffer);\n    }\n}\n/**\n * MD5 (RFC 1321) legacy hash function. It was cryptographically broken.\n * MD5 architecture is similar to SHA1, with some differences:\n * - Reduced output length: 16 bytes (128 bit) instead of 20\n * - 64 rounds, instead of 80\n * - Little-endian: could be faster, but will require more code\n * - Non-linear index selection: huge speed-up for unroll\n * - Per round constants: more memory accesses, additional speed-up for unroll\n * @param msg - message bytes to hash\n * @param opts - Reserved hash options.\n * @returns Digest bytes.\n * @example\n * Hash a message with MD5.\n * ```ts\n * md5(new Uint8Array([97, 98, 99]));\n * ```\n */\nexport const md5 = /* @__PURE__ */ createHasher(() => new _MD5());\n// RIPEMD-160\n// Permutation repeatedly applied to derive the later RIPEMD-160 message-order tables.\nconst Rho160 = /* @__PURE__ */ Uint8Array.from([\n    7, 4, 13, 1, 10, 6, 15, 3, 12, 0, 9, 5, 2, 14, 11, 8,\n]);\nconst Id160 = /* @__PURE__ */ (() => Uint8Array.from(new Array(16).fill(0).map((_, i) => i)))();\nconst Pi160 = /* @__PURE__ */ (() => Id160.map((i) => (9 * i + 5) % 16))();\n// Five left/right message-word orderings for the RIPEMD-160 dual-lane rounds.\nconst idxLR = /* @__PURE__ */ (() => {\n    const L = [Id160];\n    const R = [Pi160];\n    const res = [L, R];\n    for (let i = 0; i < 4; i++)\n        for (let j of res)\n            j.push(j[i].map((k) => Rho160[k]));\n    return res;\n})();\nconst idxL = /* @__PURE__ */ (() => idxLR[0])();\nconst idxR = /* @__PURE__ */ (() => idxLR[1])();\n// const [idxL, idxR] = idxLR;\n// Base per-group shift table before the left/right message-order permutations are applied.\nconst shifts160 = /* @__PURE__ */ [\n    [11, 14, 15, 12, 5, 8, 7, 9, 11, 13, 14, 15, 6, 7, 9, 8],\n    [12, 13, 11, 15, 6, 9, 9, 7, 12, 15, 11, 13, 7, 8, 7, 7],\n    [13, 15, 14, 11, 7, 7, 6, 8, 13, 14, 13, 12, 5, 5, 6, 9],\n    [14, 11, 12, 14, 8, 6, 5, 5, 15, 12, 15, 14, 9, 9, 8, 6],\n    [15, 12, 13, 13, 9, 5, 8, 6, 14, 11, 12, 11, 8, 6, 5, 5],\n].map((i) => Uint8Array.from(i));\nconst shiftsL160 = /* @__PURE__ */ idxL.map((idx, i) => idx.map((j) => shifts160[i][j]));\nconst shiftsR160 = /* @__PURE__ */ idxR.map((idx, i) => idx.map((j) => shifts160[i][j]));\n// Five left-lane additive constants for RIPEMD-160.\nconst Kl160 = /* @__PURE__ */ Uint32Array.from([\n    0x00000000, 0x5a827999, 0x6ed9eba1, 0x8f1bbcdc, 0xa953fd4e,\n]);\n// Five right-lane additive constants for RIPEMD-160.\nconst Kr160 = /* @__PURE__ */ Uint32Array.from([\n    0x50a28be6, 0x5c4dd124, 0x6d703ef3, 0x7a6d76e9, 0x00000000,\n]);\n// Called `f()` in the spec; valid `group` values are 0..4, and out-of-range\n// inputs currently fall through to the group-4 branch.\nfunction ripemd_f(group, x, y, z) {\n    if (group === 0)\n        return x ^ y ^ z;\n    if (group === 1)\n        return (x & y) | (~x & z);\n    if (group === 2)\n        return (x | ~y) ^ z;\n    if (group === 3)\n        return (x & z) | (y & ~z);\n    return x ^ (y | ~z);\n}\n// Reusable 16-word RIPEMD-160 message block buffer.\nconst BUF_160 = /* @__PURE__ */ new Uint32Array(16);\n/**\n * Internal RIPEMD-160 legacy hash class.\n * RFC 2286 only adds HMAC-RIPEMD160 material, not the core hash specification.\n */\nexport class _RIPEMD160 extends HashMD {\n    h0 = 0x67452301 | 0;\n    h1 = 0xefcdab89 | 0;\n    h2 = 0x98badcfe | 0;\n    h3 = 0x10325476 | 0;\n    h4 = 0xc3d2e1f0 | 0;\n    constructor() {\n        super(64, 20, 8, true);\n    }\n    get() {\n        const { h0, h1, h2, h3, h4 } = this;\n        return [h0, h1, h2, h3, h4];\n    }\n    set(h0, h1, h2, h3, h4) {\n        this.h0 = h0 | 0;\n        this.h1 = h1 | 0;\n        this.h2 = h2 | 0;\n        this.h3 = h3 | 0;\n        this.h4 = h4 | 0;\n    }\n    _cloneInto(to) {\n        (to ||= new this.constructor()).set(...this.get());\n        return this._cloneIntoMeta(to);\n    }\n    process(view, offset) {\n        for (let i = 0; i < 16; i++, offset += 4)\n            BUF_160[i] = view.getUint32(offset, true);\n        // prettier-ignore\n        let al = this.h0 | 0, ar = al, bl = this.h1 | 0, br = bl, cl = this.h2 | 0, cr = cl, dl = this.h3 | 0, dr = dl, el = this.h4 | 0, er = el;\n        // Instead of iterating 0 to 80, we split it into 5 groups\n        // And use the groups in constants, functions, etc. Much simpler\n        for (let group = 0; group < 5; group++) {\n            const rGroup = 4 - group;\n            const hbl = Kl160[group], hbr = Kr160[group]; // prettier-ignore\n            const rl = idxL[group], rr = idxR[group]; // prettier-ignore\n            const sl = shiftsL160[group], sr = shiftsR160[group]; // prettier-ignore\n            for (let i = 0; i < 16; i++) {\n                const tl = (rotl(al + ripemd_f(group, bl, cl, dl) + BUF_160[rl[i]] + hbl, sl[i]) + el) | 0;\n                al = el, el = dl, dl = rotl(cl, 10) | 0, cl = bl, bl = tl; // prettier-ignore\n            }\n            // 2 loops are 10% faster\n            for (let i = 0; i < 16; i++) {\n                const tr = (rotl(ar + ripemd_f(rGroup, br, cr, dr) + BUF_160[rr[i]] + hbr, sr[i]) + er) | 0;\n                ar = er, er = dr, dr = rotl(cr, 10) | 0, cr = br, br = tr; // prettier-ignore\n            }\n        }\n        // Add the compressed chunk to the current hash value\n        // Final recombination cross-adds the left/right lane accumulators into the next h0..h4 order.\n        this.set((this.h1 + cl + dr) | 0, (this.h2 + dl + er) | 0, (this.h3 + el + ar) | 0, (this.h4 + al + br) | 0, (this.h0 + bl + cr) | 0);\n    }\n    roundClean() {\n        clean(BUF_160);\n    }\n    destroy() {\n        this.destroyed = true;\n        clean(this.buffer);\n        this.set(0, 0, 0, 0, 0);\n    }\n}\n/**\n * RIPEMD-160 - a legacy hash function from 1990s.\n * RFC 2286 only covers HMAC-RIPEMD160 test material; the links below point\n * at the base RIPEMD-160 references.\n * * {@link https://homes.esat.kuleuven.be/~bosselae/ripemd160.html}\n * * {@link https://homes.esat.kuleuven.be/~bosselae/ripemd160/pdf/AB-9601/AB-9601.pdf}\n * @param msg - message bytes to hash\n * @param opts - Reserved hash options.\n * @returns Digest bytes.\n * @example\n * Hash a message with RIPEMD-160.\n * ```ts\n * ripemd160(new Uint8Array([97, 98, 99]));\n * ```\n */\nexport const ripemd160 = /* @__PURE__ */ createHasher(() => new _RIPEMD160());\n","/**\n * SHA2 hash function. A.k.a. sha256, sha384, sha512, sha512_224, sha512_256.\n * SHA256 is the fastest hash implementable in JS, even faster than Blake3.\n * Check out {@link https://www.rfc-editor.org/rfc/rfc4634 | RFC 4634} and\n * {@link https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.180-4.pdf | FIPS 180-4}.\n * @module\n */\nimport { Chi, HashMD, Maj, SHA224_IV, SHA256_IV, SHA384_IV, SHA512_IV } from \"./_md.js\";\nimport * as u64 from \"./_u64.js\";\nimport { clean, createHasher, oidNist, rotr } from \"./utils.js\";\n/**\n * SHA-224 / SHA-256 round constants from RFC 6234 §5.1: the first 32 bits\n * of the cube roots of the first 64 primes (2..311).\n */\n// prettier-ignore\nconst SHA256_K = /* @__PURE__ */ Uint32Array.from([\n    0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,\n    0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174,\n    0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,\n    0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967,\n    0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85,\n    0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,\n    0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3,\n    0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2\n]);\n/** Reusable SHA-224 / SHA-256 message schedule buffer `W_t` from RFC 6234 §6.2 step 1. */\nconst SHA256_W = /* @__PURE__ */ new Uint32Array(64);\n/** Internal SHA-224 / SHA-256 compression engine from RFC 6234 §6.2. */\nclass SHA2_32B extends HashMD {\n    // We cannot use array here since array allows indexing by variable\n    // which means optimizer/compiler cannot use registers.\n    // Numeric initializers matter: starting the fields as `undefined` changes\n    // V8's field representation and makes sha256 3x slower (measured).\n    A = 0;\n    B = 0;\n    C = 0;\n    D = 0;\n    E = 0;\n    F = 0;\n    G = 0;\n    H = 0;\n    constructor(outputLen, IV) {\n        super(64, outputLen, 8, false);\n        this.A = IV[0] | 0;\n        this.B = IV[1] | 0;\n        this.C = IV[2] | 0;\n        this.D = IV[3] | 0;\n        this.E = IV[4] | 0;\n        this.F = IV[5] | 0;\n        this.G = IV[6] | 0;\n        this.H = IV[7] | 0;\n    }\n    get() {\n        const { A, B, C, D, E, F, G, H } = this;\n        return [A, B, C, D, E, F, G, H];\n    }\n    // prettier-ignore\n    set(A, B, C, D, E, F, G, H) {\n        this.A = A | 0;\n        this.B = B | 0;\n        this.C = C | 0;\n        this.D = D | 0;\n        this.E = E | 0;\n        this.F = F | 0;\n        this.G = G | 0;\n        this.H = H | 0;\n    }\n    _cloneInto(to) {\n        (to ||= new this.constructor()).set(...this.get());\n        return this._cloneIntoMeta(to);\n    }\n    process(view, offset) {\n        // Extend the first 16 words into the remaining 48 words w[16..63] of the message schedule array\n        for (let i = 0; i < 16; i++, offset += 4)\n            SHA256_W[i] = view.getUint32(offset, false);\n        for (let i = 16; i < 64; i++) {\n            const W15 = SHA256_W[i - 15];\n            const W2 = SHA256_W[i - 2];\n            const s0 = rotr(W15, 7) ^ rotr(W15, 18) ^ (W15 >>> 3);\n            const s1 = rotr(W2, 17) ^ rotr(W2, 19) ^ (W2 >>> 10);\n            SHA256_W[i] = (s1 + SHA256_W[i - 7] + s0 + SHA256_W[i - 16]) | 0;\n        }\n        // Compression function main loop, 64 rounds\n        let { A, B, C, D, E, F, G, H } = this;\n        for (let i = 0; i < 64; i++) {\n            const sigma1 = rotr(E, 6) ^ rotr(E, 11) ^ rotr(E, 25);\n            const T1 = (H + sigma1 + Chi(E, F, G) + SHA256_K[i] + SHA256_W[i]) | 0;\n            const sigma0 = rotr(A, 2) ^ rotr(A, 13) ^ rotr(A, 22);\n            const T2 = (sigma0 + Maj(A, B, C)) | 0;\n            H = G;\n            G = F;\n            F = E;\n            E = (D + T1) | 0;\n            D = C;\n            C = B;\n            B = A;\n            A = (T1 + T2) | 0;\n        }\n        // Add the compressed chunk to the current hash value\n        A = (A + this.A) | 0;\n        B = (B + this.B) | 0;\n        C = (C + this.C) | 0;\n        D = (D + this.D) | 0;\n        E = (E + this.E) | 0;\n        F = (F + this.F) | 0;\n        G = (G + this.G) | 0;\n        H = (H + this.H) | 0;\n        this.set(A, B, C, D, E, F, G, H);\n    }\n    roundClean() {\n        clean(SHA256_W);\n    }\n    destroy() {\n        // HashMD callers route post-destroy usability through `destroyed`; zeroizing alone still leaves\n        // update()/digest() callable on reused instances.\n        this.destroyed = true;\n        this.set(0, 0, 0, 0, 0, 0, 0, 0);\n        clean(this.buffer);\n    }\n}\n/** Internal SHA-256 hash class grounded in RFC 6234 §6.2. */\nexport class _SHA256 extends SHA2_32B {\n    constructor() {\n        super(32, SHA256_IV);\n    }\n}\n/** Internal SHA-224 hash class grounded in RFC 6234 §6.2 and §8.5. */\nexport class _SHA224 extends SHA2_32B {\n    constructor() {\n        super(28, SHA224_IV);\n    }\n}\n// SHA2-512 is slower than sha256 in js because u64 operations are slow.\n// SHA-384 / SHA-512 round constants from RFC 6234 §5.2:\n// 80 full 64-bit words split into high/low halves.\n// prettier-ignore\nconst K512 = /* @__PURE__ */ (() => u64.split([\n    '0x428a2f98d728ae22', '0x7137449123ef65cd', '0xb5c0fbcfec4d3b2f', '0xe9b5dba58189dbbc',\n    '0x3956c25bf348b538', '0x59f111f1b605d019', '0x923f82a4af194f9b', '0xab1c5ed5da6d8118',\n    '0xd807aa98a3030242', '0x12835b0145706fbe', '0x243185be4ee4b28c', '0x550c7dc3d5ffb4e2',\n    '0x72be5d74f27b896f', '0x80deb1fe3b1696b1', '0x9bdc06a725c71235', '0xc19bf174cf692694',\n    '0xe49b69c19ef14ad2', '0xefbe4786384f25e3', '0x0fc19dc68b8cd5b5', '0x240ca1cc77ac9c65',\n    '0x2de92c6f592b0275', '0x4a7484aa6ea6e483', '0x5cb0a9dcbd41fbd4', '0x76f988da831153b5',\n    '0x983e5152ee66dfab', '0xa831c66d2db43210', '0xb00327c898fb213f', '0xbf597fc7beef0ee4',\n    '0xc6e00bf33da88fc2', '0xd5a79147930aa725', '0x06ca6351e003826f', '0x142929670a0e6e70',\n    '0x27b70a8546d22ffc', '0x2e1b21385c26c926', '0x4d2c6dfc5ac42aed', '0x53380d139d95b3df',\n    '0x650a73548baf63de', '0x766a0abb3c77b2a8', '0x81c2c92e47edaee6', '0x92722c851482353b',\n    '0xa2bfe8a14cf10364', '0xa81a664bbc423001', '0xc24b8b70d0f89791', '0xc76c51a30654be30',\n    '0xd192e819d6ef5218', '0xd69906245565a910', '0xf40e35855771202a', '0x106aa07032bbd1b8',\n    '0x19a4c116b8d2d0c8', '0x1e376c085141ab53', '0x2748774cdf8eeb99', '0x34b0bcb5e19b48a8',\n    '0x391c0cb3c5c95a63', '0x4ed8aa4ae3418acb', '0x5b9cca4f7763e373', '0x682e6ff3d6b2b8a3',\n    '0x748f82ee5defb2fc', '0x78a5636f43172f60', '0x84c87814a1f0ab72', '0x8cc702081a6439ec',\n    '0x90befffa23631e28', '0xa4506cebde82bde9', '0xbef9a3f7b2c67915', '0xc67178f2e372532b',\n    '0xca273eceea26619c', '0xd186b8c721c0c207', '0xeada7dd6cde0eb1e', '0xf57d4f7fee6ed178',\n    '0x06f067aa72176fba', '0x0a637dc5a2c898a6', '0x113f9804bef90dae', '0x1b710b35131c471b',\n    '0x28db77f523047d84', '0x32caab7b40c72493', '0x3c9ebe0a15c9bebc', '0x431d67c49c100d4c',\n    '0x4cc5d4becb3e42b6', '0x597f299cfc657e2a', '0x5fcb6fab3ad6faec', '0x6c44198c4a475817'\n].map(n => BigInt(n))))();\nconst SHA512_Kh = /* @__PURE__ */ (() => K512[0])();\nconst SHA512_Kl = /* @__PURE__ */ (() => K512[1])();\n// Reusable high-half schedule buffer for the RFC 6234 §6.4 64-bit `W_t` words.\nconst SHA512_W_H = /* @__PURE__ */ new Uint32Array(80);\n// Reusable low-half schedule buffer for the RFC 6234 §6.4 64-bit `W_t` words.\nconst SHA512_W_L = /* @__PURE__ */ new Uint32Array(80);\n/** Internal SHA-384 / SHA-512 compression engine from RFC 6234 §6.4. */\nclass SHA2_64B extends HashMD {\n    // We cannot use array here since array allows indexing by variable\n    // which means optimizer/compiler cannot use registers.\n    // h -- high 32 bits, l -- low 32 bits\n    // Numeric initializers matter: starting the fields as `undefined` changes\n    // V8's field representation and slows hashing down (measured on sha256).\n    Ah = 0;\n    Al = 0;\n    Bh = 0;\n    Bl = 0;\n    Ch = 0;\n    Cl = 0;\n    Dh = 0;\n    Dl = 0;\n    Eh = 0;\n    El = 0;\n    Fh = 0;\n    Fl = 0;\n    Gh = 0;\n    Gl = 0;\n    Hh = 0;\n    Hl = 0;\n    constructor(outputLen, IV) {\n        super(128, outputLen, 16, false);\n        this.Ah = IV[0] | 0;\n        this.Al = IV[1] | 0;\n        this.Bh = IV[2] | 0;\n        this.Bl = IV[3] | 0;\n        this.Ch = IV[4] | 0;\n        this.Cl = IV[5] | 0;\n        this.Dh = IV[6] | 0;\n        this.Dl = IV[7] | 0;\n        this.Eh = IV[8] | 0;\n        this.El = IV[9] | 0;\n        this.Fh = IV[10] | 0;\n        this.Fl = IV[11] | 0;\n        this.Gh = IV[12] | 0;\n        this.Gl = IV[13] | 0;\n        this.Hh = IV[14] | 0;\n        this.Hl = IV[15] | 0;\n    }\n    // prettier-ignore\n    get() {\n        const { Ah, Al, Bh, Bl, Ch, Cl, Dh, Dl, Eh, El, Fh, Fl, Gh, Gl, Hh, Hl } = this;\n        return [Ah, Al, Bh, Bl, Ch, Cl, Dh, Dl, Eh, El, Fh, Fl, Gh, Gl, Hh, Hl];\n    }\n    // prettier-ignore\n    set(Ah, Al, Bh, Bl, Ch, Cl, Dh, Dl, Eh, El, Fh, Fl, Gh, Gl, Hh, Hl) {\n        this.Ah = Ah | 0;\n        this.Al = Al | 0;\n        this.Bh = Bh | 0;\n        this.Bl = Bl | 0;\n        this.Ch = Ch | 0;\n        this.Cl = Cl | 0;\n        this.Dh = Dh | 0;\n        this.Dl = Dl | 0;\n        this.Eh = Eh | 0;\n        this.El = El | 0;\n        this.Fh = Fh | 0;\n        this.Fl = Fl | 0;\n        this.Gh = Gh | 0;\n        this.Gl = Gl | 0;\n        this.Hh = Hh | 0;\n        this.Hl = Hl | 0;\n    }\n    _cloneInto(to) {\n        (to ||= new this.constructor()).set(...this.get());\n        return this._cloneIntoMeta(to);\n    }\n    process(view, offset) {\n        // Extend the first 16 words into the remaining 64 words w[16..79] of the message schedule array\n        for (let i = 0; i < 16; i++, offset += 4) {\n            SHA512_W_H[i] = view.getUint32(offset);\n            SHA512_W_L[i] = view.getUint32((offset += 4));\n        }\n        for (let i = 16; i < 80; i++) {\n            // s0 := (w[i-15] rightrotate 1) xor (w[i-15] rightrotate 8) xor (w[i-15] rightshift 7)\n            const W15h = SHA512_W_H[i - 15] | 0;\n            const W15l = SHA512_W_L[i - 15] | 0;\n            const s0h = u64.rotrSH(W15h, W15l, 1) ^ u64.rotrSH(W15h, W15l, 8) ^ u64.shrSH(W15h, W15l, 7);\n            const s0l = u64.rotrSL(W15h, W15l, 1) ^ u64.rotrSL(W15h, W15l, 8) ^ u64.shrSL(W15h, W15l, 7);\n            // s1 := (w[i-2] rightrotate 19) xor (w[i-2] rightrotate 61) xor (w[i-2] rightshift 6)\n            const W2h = SHA512_W_H[i - 2] | 0;\n            const W2l = SHA512_W_L[i - 2] | 0;\n            const s1h = u64.rotrSH(W2h, W2l, 19) ^ u64.rotrBH(W2h, W2l, 61) ^ u64.shrSH(W2h, W2l, 6);\n            const s1l = u64.rotrSL(W2h, W2l, 19) ^ u64.rotrBL(W2h, W2l, 61) ^ u64.shrSL(W2h, W2l, 6);\n            // SHA512_W[i] = s0 + s1 + SHA512_W[i - 7] + SHA512_W[i - 16];\n            const SUMl = u64.add4L(s0l, s1l, SHA512_W_L[i - 7], SHA512_W_L[i - 16]);\n            const SUMh = u64.add4H(SUMl, s0h, s1h, SHA512_W_H[i - 7], SHA512_W_H[i - 16]);\n            SHA512_W_H[i] = SUMh | 0;\n            SHA512_W_L[i] = SUMl | 0;\n        }\n        let { Ah, Al, Bh, Bl, Ch, Cl, Dh, Dl, Eh, El, Fh, Fl, Gh, Gl, Hh, Hl } = this;\n        // Compression function main loop, 80 rounds\n        for (let i = 0; i < 80; i++) {\n            // S1 := (e rightrotate 14) xor (e rightrotate 18) xor (e rightrotate 41)\n            const sigma1h = u64.rotrSH(Eh, El, 14) ^ u64.rotrSH(Eh, El, 18) ^ u64.rotrBH(Eh, El, 41);\n            const sigma1l = u64.rotrSL(Eh, El, 14) ^ u64.rotrSL(Eh, El, 18) ^ u64.rotrBL(Eh, El, 41);\n            //const T1 = (H + sigma1 + Chi(E, F, G) + SHA256_K[i] + SHA256_W[i]) | 0;\n            const CHIh = (Eh & Fh) ^ (~Eh & Gh);\n            const CHIl = (El & Fl) ^ (~El & Gl);\n            // T1 = H + sigma1 + Chi(E, F, G) + SHA512_K[i] + SHA512_W[i]\n            // prettier-ignore\n            const T1ll = u64.add5L(Hl, sigma1l, CHIl, SHA512_Kl[i], SHA512_W_L[i]);\n            const T1h = u64.add5H(T1ll, Hh, sigma1h, CHIh, SHA512_Kh[i], SHA512_W_H[i]);\n            const T1l = T1ll | 0;\n            // S0 := (a rightrotate 28) xor (a rightrotate 34) xor (a rightrotate 39)\n            const sigma0h = u64.rotrSH(Ah, Al, 28) ^ u64.rotrBH(Ah, Al, 34) ^ u64.rotrBH(Ah, Al, 39);\n            const sigma0l = u64.rotrSL(Ah, Al, 28) ^ u64.rotrBL(Ah, Al, 34) ^ u64.rotrBL(Ah, Al, 39);\n            const MAJh = (Ah & Bh) ^ (Ah & Ch) ^ (Bh & Ch);\n            const MAJl = (Al & Bl) ^ (Al & Cl) ^ (Bl & Cl);\n            Hh = Gh | 0;\n            Hl = Gl | 0;\n            Gh = Fh | 0;\n            Gl = Fl | 0;\n            Fh = Eh | 0;\n            Fl = El | 0;\n            ({ h: Eh, l: El } = u64.add(Dh | 0, Dl | 0, T1h | 0, T1l | 0));\n            Dh = Ch | 0;\n            Dl = Cl | 0;\n            Ch = Bh | 0;\n            Cl = Bl | 0;\n            Bh = Ah | 0;\n            Bl = Al | 0;\n            const All = u64.add3L(T1l, sigma0l, MAJl);\n            Ah = u64.add3H(All, T1h, sigma0h, MAJh);\n            Al = All | 0;\n        }\n        // Add the compressed chunk to the current hash value\n        ({ h: Ah, l: Al } = u64.add(this.Ah | 0, this.Al | 0, Ah | 0, Al | 0));\n        ({ h: Bh, l: Bl } = u64.add(this.Bh | 0, this.Bl | 0, Bh | 0, Bl | 0));\n        ({ h: Ch, l: Cl } = u64.add(this.Ch | 0, this.Cl | 0, Ch | 0, Cl | 0));\n        ({ h: Dh, l: Dl } = u64.add(this.Dh | 0, this.Dl | 0, Dh | 0, Dl | 0));\n        ({ h: Eh, l: El } = u64.add(this.Eh | 0, this.El | 0, Eh | 0, El | 0));\n        ({ h: Fh, l: Fl } = u64.add(this.Fh | 0, this.Fl | 0, Fh | 0, Fl | 0));\n        ({ h: Gh, l: Gl } = u64.add(this.Gh | 0, this.Gl | 0, Gh | 0, Gl | 0));\n        ({ h: Hh, l: Hl } = u64.add(this.Hh | 0, this.Hl | 0, Hh | 0, Hl | 0));\n        this.set(Ah, Al, Bh, Bl, Ch, Cl, Dh, Dl, Eh, El, Fh, Fl, Gh, Gl, Hh, Hl);\n    }\n    roundClean() {\n        clean(SHA512_W_H, SHA512_W_L);\n    }\n    destroy() {\n        // HashMD callers route post-destroy usability through `destroyed`; zeroizing alone still leaves\n        // update()/digest() callable on reused instances.\n        this.destroyed = true;\n        clean(this.buffer);\n        this.set(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);\n    }\n}\n/** Internal SHA-512 hash class grounded in RFC 6234 §6.3 and §6.4. */\nexport class _SHA512 extends SHA2_64B {\n    constructor() {\n        super(64, SHA512_IV);\n    }\n}\n/** Internal SHA-384 hash class grounded in RFC 6234 §6.3 and §6.4. */\nexport class _SHA384 extends SHA2_64B {\n    constructor() {\n        super(48, SHA384_IV);\n    }\n}\n/**\n * Truncated SHA512/256 and SHA512/224.\n * SHA512_IV is XORed with 0xa5a5a5a5a5a5a5a5, then used as \"intermediary\" IV of SHA512/t.\n * Then t hashes string to produce result IV.\n * See the repo-side derivation recipe in `test/misc/sha2-gen-iv.js`.\n * These IV literals are checked against that script rather than a dedicated\n * local RFC section.\n */\n/** SHA-512/224 IV derived by the SHA-512/t recipe in `test/misc/sha2-gen-iv.js` and\n * stored as sixteen big-endian 32-bit halves. */\nconst T224_IV = /* @__PURE__ */ Uint32Array.from([\n    0x8c3d37c8, 0x19544da2, 0x73e19966, 0x89dcd4d6, 0x1dfab7ae, 0x32ff9c82, 0x679dd514, 0x582f9fcf,\n    0x0f6d2b69, 0x7bd44da8, 0x77e36f73, 0x04c48942, 0x3f9d85a8, 0x6a1d36c8, 0x1112e6ad, 0x91d692a1,\n]);\n/** SHA-512/256 IV derived by the SHA-512/t recipe in `test/misc/sha2-gen-iv.js` and\n * stored as sixteen big-endian 32-bit halves. */\nconst T256_IV = /* @__PURE__ */ Uint32Array.from([\n    0x22312194, 0xfc2bf72c, 0x9f555fa3, 0xc84c64c2, 0x2393b86b, 0x6f53b151, 0x96387719, 0x5940eabd,\n    0x96283ee2, 0xa88effe3, 0xbe5e1e25, 0x53863992, 0x2b0199fc, 0x2c85b8aa, 0x0eb72ddc, 0x81c52ca2,\n]);\n/** Internal SHA-512/224 hash class using the derived `T224_IV` and the shared\n * RFC 6234 §6.4 compression engine. */\nexport class _SHA512_224 extends SHA2_64B {\n    constructor() {\n        super(28, T224_IV);\n    }\n}\n/** Internal SHA-512/256 hash class using the derived `T256_IV` and the shared\n * RFC 6234 §6.4 compression engine. */\nexport class _SHA512_256 extends SHA2_64B {\n    constructor() {\n        super(32, T256_IV);\n    }\n}\n/**\n * SHA2-256 hash function from RFC 4634. In JS it's the fastest: even faster than Blake3. Some info:\n *\n * - Trying 2^128 hashes would get 50% chance of collision, using birthday attack.\n * - BTC network is doing 2^70 hashes/sec (2^95 hashes/year) as per 2025.\n * - Each sha256 hash is executing 2^18 bit operations.\n * - Good 2024 ASICs can do 200Th/sec with 3500 watts of power, corresponding to 2^36 hashes/joule.\n * @param msg - message bytes to hash\n * @param opts - Reserved hash options.\n * @returns Digest bytes.\n * @example\n * Hash a message with SHA2-256.\n * ```ts\n * sha256(new Uint8Array([97, 98, 99]));\n * ```\n */\nexport const sha256 = /* @__PURE__ */ createHasher(() => new _SHA256(), \n/* @__PURE__ */ oidNist(0x01));\n/**\n * SHA2-224 hash function from RFC 4634.\n * @param msg - message bytes to hash\n * @param opts - Reserved hash options.\n * @returns Digest bytes.\n * @example\n * Hash a message with SHA2-224.\n * ```ts\n * sha224(new Uint8Array([97, 98, 99]));\n * ```\n */\nexport const sha224 = /* @__PURE__ */ createHasher(() => new _SHA224(), \n/* @__PURE__ */ oidNist(0x04));\n/**\n * SHA2-512 hash function from RFC 4634.\n * @param msg - message bytes to hash\n * @param opts - Reserved hash options.\n * @returns Digest bytes.\n * @example\n * Hash a message with SHA2-512.\n * ```ts\n * sha512(new Uint8Array([97, 98, 99]));\n * ```\n */\nexport const sha512 = /* @__PURE__ */ createHasher(() => new _SHA512(), \n/* @__PURE__ */ oidNist(0x03));\n/**\n * SHA2-384 hash function from RFC 4634.\n * @param msg - message bytes to hash\n * @param opts - Reserved hash options.\n * @returns Digest bytes.\n * @example\n * Hash a message with SHA2-384.\n * ```ts\n * sha384(new Uint8Array([97, 98, 99]));\n * ```\n */\nexport const sha384 = /* @__PURE__ */ createHasher(() => new _SHA384(), \n/* @__PURE__ */ oidNist(0x02));\n/**\n * SHA2-512/256 \"truncated\" hash function, with improved resistance to length extension attacks.\n * See the paper on {@link https://eprint.iacr.org/2010/548.pdf | truncated SHA512}.\n * @param msg - message bytes to hash\n * @param opts - Reserved hash options.\n * @returns Digest bytes.\n * @example\n * Hash a message with SHA2-512/256.\n * ```ts\n * sha512_256(new Uint8Array([97, 98, 99]));\n * ```\n */\nexport const sha512_256 = /* @__PURE__ */ createHasher(() => new _SHA512_256(), \n/* @__PURE__ */ oidNist(0x06));\n/**\n * SHA2-512/224 \"truncated\" hash function, with improved resistance to length extension attacks.\n * See the paper on {@link https://eprint.iacr.org/2010/548.pdf | truncated SHA512}.\n * @param msg - message bytes to hash\n * @param opts - Reserved hash options.\n * @returns Digest bytes.\n * @example\n * Hash a message with SHA2-512/224.\n * ```ts\n * sha512_224(new Uint8Array([97, 98, 99]));\n * ```\n */\nexport const sha512_224 = /* @__PURE__ */ createHasher(() => new _SHA512_224(), \n/* @__PURE__ */ oidNist(0x05));\n","/**\n * HMAC: RFC2104 message authentication code.\n * @module\n */\nimport { abytes, aexists, ahash, aoutput, clean, } from \"./utils.js\";\n/**\n * Internal class for HMAC.\n * Accepts any byte key, although RFC 2104 §3 recommends keys at least\n * `HashLen` bytes long.\n */\nexport class _HMAC {\n    oHash;\n    iHash;\n    blockLen;\n    outputLen;\n    canXOF = false;\n    finished = false;\n    destroyed = false;\n    constructor(hash, key) {\n        ahash(hash);\n        abytes(key, undefined, 'key');\n        this.iHash = hash.create();\n        if (typeof this.iHash.update !== 'function')\n            throw new Error('expected Hash instance');\n        this.blockLen = this.iHash.blockLen;\n        this.outputLen = this.iHash.outputLen;\n        const blockLen = this.blockLen;\n        const pad = new Uint8Array(blockLen);\n        // blockLen can be bigger than outputLen\n        pad.set(key.length > blockLen ? hash.create().update(key).digest() : key);\n        for (let i = 0; i < pad.length; i++)\n            pad[i] ^= 0x36;\n        this.iHash.update(pad);\n        // By doing update (processing of the first block) of the outer hash here,\n        // we can re-use it between multiple calls via clone.\n        this.oHash = hash.create();\n        // Undo internal XOR && apply outer XOR\n        for (let i = 0; i < pad.length; i++)\n            pad[i] ^= 0x36 ^ 0x5c;\n        this.oHash.update(pad);\n        clean(pad);\n    }\n    update(buf) {\n        aexists(this);\n        this.iHash.update(buf);\n        return this;\n    }\n    digestInto(out) {\n        aexists(this);\n        aoutput(out, this);\n        this.finished = true;\n        const buf = out.subarray(0, this.outputLen);\n        // Reuse the first outputLen bytes for the inner digest; the outer hash consumes them before\n        // overwriting that same prefix with the final tag, leaving any oversized tail untouched.\n        this.iHash.digestInto(buf);\n        this.oHash.update(buf);\n        this.oHash.digestInto(buf);\n        this.destroy();\n    }\n    digest() {\n        const out = new Uint8Array(this.oHash.outputLen);\n        this.digestInto(out);\n        return out;\n    }\n    _cloneInto(to) {\n        // Create new instance without calling constructor since the key\n        // is already in state and we don't know it.\n        to ||= Object.create(Object.getPrototypeOf(this), {});\n        const { oHash, iHash, finished, destroyed, blockLen, outputLen, canXOF } = this;\n        to = to;\n        to.finished = finished;\n        to.destroyed = destroyed;\n        to.blockLen = blockLen;\n        to.outputLen = outputLen;\n        to.canXOF = canXOF;\n        to.oHash = oHash._cloneInto(to.oHash);\n        to.iHash = iHash._cloneInto(to.iHash);\n        return to;\n    }\n    clone() {\n        return this._cloneInto();\n    }\n    destroy() {\n        this.destroyed = true;\n        this.oHash.destroy();\n        this.iHash.destroy();\n    }\n}\nexport const hmac = /* @__PURE__ */ (() => {\n    const hmac_ = ((hash, key, message) => new _HMAC(hash, key).update(message).digest());\n    hmac_.create = (hash, key) => new _HMAC(hash, key);\n    return hmac_;\n})();\n",null,"// base-x encoding / decoding\n// Copyright (c) 2018 base-x contributors\n// Copyright (c) 2014-2018 The Bitcoin Core developers (base58.cpp)\n// Distributed under the MIT software license, see the accompanying\n// file LICENSE or http://www.opensource.org/licenses/mit-license.php.\nfunction base (ALPHABET) {\n  if (ALPHABET.length >= 255) { throw new TypeError('Alphabet too long') }\n  const BASE_MAP = new Uint8Array(256)\n  for (let j = 0; j < BASE_MAP.length; j++) {\n    BASE_MAP[j] = 255\n  }\n  for (let i = 0; i < ALPHABET.length; i++) {\n    const x = ALPHABET.charAt(i)\n    const xc = x.charCodeAt(0)\n    if (BASE_MAP[xc] !== 255) { throw new TypeError(x + ' is ambiguous') }\n    BASE_MAP[xc] = i\n  }\n  const BASE = ALPHABET.length\n  const LEADER = ALPHABET.charAt(0)\n  const FACTOR = Math.log(BASE) / Math.log(256) // log(BASE) / log(256), rounded up\n  const iFACTOR = Math.log(256) / Math.log(BASE) // log(256) / log(BASE), rounded up\n  function encode (source) {\n    // eslint-disable-next-line no-empty\n    if (source instanceof Uint8Array) { } else if (ArrayBuffer.isView(source)) {\n      source = new Uint8Array(source.buffer, source.byteOffset, source.byteLength)\n    } else if (Array.isArray(source)) {\n      source = Uint8Array.from(source)\n    }\n    if (!(source instanceof Uint8Array)) { throw new TypeError('Expected Uint8Array') }\n    if (source.length === 0) { return '' }\n    // Skip & count leading zeroes.\n    let zeroes = 0\n    let length = 0\n    let pbegin = 0\n    const pend = source.length\n    while (pbegin !== pend && source[pbegin] === 0) {\n      pbegin++\n      zeroes++\n    }\n    // Allocate enough space in big-endian base58 representation.\n    const size = ((pend - pbegin) * iFACTOR + 1) >>> 0\n    const b58 = new Uint8Array(size)\n    // Process the bytes.\n    while (pbegin !== pend) {\n      let carry = source[pbegin]\n      // Apply \"b58 = b58 * 256 + ch\".\n      let i = 0\n      for (let it1 = size - 1; (carry !== 0 || i < length) && (it1 !== -1); it1--, i++) {\n        carry += (256 * b58[it1]) >>> 0\n        b58[it1] = (carry % BASE) >>> 0\n        carry = (carry / BASE) >>> 0\n      }\n      if (carry !== 0) { throw new Error('Non-zero carry') }\n      length = i\n      pbegin++\n    }\n    // Skip leading zeroes in base58 result.\n    let it2 = size - length\n    while (it2 !== size && b58[it2] === 0) {\n      it2++\n    }\n    // Translate the result into a string.\n    let str = LEADER.repeat(zeroes)\n    for (; it2 < size; ++it2) { str += ALPHABET.charAt(b58[it2]) }\n    return str\n  }\n  function decodeUnsafe (source) {\n    if (typeof source !== 'string') { throw new TypeError('Expected String') }\n    if (source.length === 0) { return new Uint8Array() }\n    let psz = 0\n    // Skip and count leading '1's.\n    let zeroes = 0\n    let length = 0\n    while (source[psz] === LEADER) {\n      zeroes++\n      psz++\n    }\n    // Allocate enough space in big-endian base256 representation.\n    const size = (((source.length - psz) * FACTOR) + 1) >>> 0 // log(58) / log(256), rounded up.\n    const b256 = new Uint8Array(size)\n    // Process the characters.\n    while (psz < source.length) {\n      // Find code of next character\n      const charCode = source.charCodeAt(psz)\n      // Base map can not be indexed using char code\n      if (charCode > 255) { return }\n      // Decode character\n      let carry = BASE_MAP[charCode]\n      // Invalid character\n      if (carry === 255) { return }\n      let i = 0\n      for (let it3 = size - 1; (carry !== 0 || i < length) && (it3 !== -1); it3--, i++) {\n        carry += (BASE * b256[it3]) >>> 0\n        b256[it3] = (carry % 256) >>> 0\n        carry = (carry / 256) >>> 0\n      }\n      if (carry !== 0) { throw new Error('Non-zero carry') }\n      length = i\n      psz++\n    }\n    // Skip leading zeroes in b256.\n    let it4 = size - length\n    while (it4 !== size && b256[it4] === 0) {\n      it4++\n    }\n    const vch = new Uint8Array(zeroes + (size - it4))\n    let j = zeroes\n    while (it4 !== size) {\n      vch[j++] = b256[it4++]\n    }\n    return vch\n  }\n  function decode (string) {\n    const buffer = decodeUnsafe(string)\n    if (buffer) { return buffer }\n    throw new Error('Non-base' + BASE + ' character')\n  }\n  return {\n    encode,\n    decodeUnsafe,\n    decode\n  }\n}\nexport default base\n","import basex from 'base-x';\nvar ALPHABET = '123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz';\nexport default basex(ALPHABET);\n","/**\n * Hex, bytes and number utilities.\n * @module\n */\n/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */\nimport { abytes as abytes_, anumber as anumber_, bytesToHex as bytesToHex_, concatBytes as concatBytes_, hexToBytes as hexToBytes_, isBytes as isBytes_, randomBytes as randomBytes_, } from '@noble/hashes/utils.js';\n/**\n * Validates that a value is an array, optionally validating each element.\n * @param item - Value to validate.\n * @param title - Label included in thrown errors.\n * @param inner - Optional per-element validator, called with the element and its label.\n * @returns The validated array.\n * @example\n * Validate an array of points before batch processing.\n *\n * ```ts\n * aarray([1n, 2n], 'scalars');\n * ```\n */\nexport function aarray(item, title, inner = () => { }) {\n    if (!Array.isArray(item))\n        throw new TypeError(`\"${title}\" expected array, got type=${typeof item}`);\n    for (let i = 0; i < item.length; i++)\n        inner(item[i], `${title}[${i}]`);\n    return item;\n}\n/**\n * Validates that a value is a byte array.\n * @param value - Value to validate.\n * @param length - Optional exact byte length.\n * @param title - Optional field name.\n * @returns Original byte array.\n * @example\n * Reject non-byte input before passing data into curve code.\n *\n * ```ts\n * abytes(new Uint8Array(1));\n * ```\n */\nexport const abytes = (value, length, title) => abytes_(value, length, title);\n/**\n * Validates that a value is a non-negative safe integer.\n * @param n - Value to validate.\n * @param title - Optional field name.\n * @returns The validated number.\n * @example\n * Validate a numeric length before allocating buffers.\n *\n * ```ts\n * anumber(1);\n * ```\n */\nexport const anumber = anumber_;\n/**\n * Asserts something is a string.\n * @param value - Value to validate.\n * @param title - Label included in thrown errors.\n * @returns The validated string.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Validate a label string.\n *\n * ```ts\n * astring('example', 'label');\n * ```\n */\nexport function astring(value, title = '') {\n    if (typeof value !== 'string') {\n        const prefix = title && `\"${title}\" `;\n        throw new TypeError(prefix + 'expected string, got type=' + typeof value);\n    }\n    return value;\n}\n/**\n * Asserts something is a plain object-ish value, not null or array.\n * @param value - Value to validate.\n * @param title - Label included in thrown errors.\n * @returns The validated object.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Validate an options object before checking fields.\n *\n * ```ts\n * aobject({ flag: true });\n * ```\n */\nexport function aobject(value, title = 'object') {\n    if (value === null || typeof value !== 'object' || Array.isArray(value))\n        throw new TypeError(title === 'object'\n            ? 'expected valid options object'\n            : `\"${title}\" expected object, got type=${typeof value}`);\n    return value;\n}\n/**\n * Asserts something is a function.\n * @param value - Value to validate.\n * @param title - Label included in thrown errors.\n * @returns The validated function.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Validate a required method before calling it.\n *\n * ```ts\n * afunction(() => true, 'predicate');\n * ```\n */\nexport function afunction(value, title) {\n    if (typeof value !== 'function')\n        throw new TypeError(`\"${title}\" is invalid: expected function, got ${typeof value}`);\n    return value;\n}\n/**\n * Encodes bytes as lowercase hex.\n * @param bytes - Bytes to encode.\n * @returns Lowercase hex string.\n * @example\n * Serialize bytes as hex for logging or fixtures.\n *\n * ```ts\n * bytesToHex(Uint8Array.of(1, 2, 3));\n * ```\n */\nexport const bytesToHex = bytesToHex_;\n/**\n * Concatenates byte arrays.\n * @param arrays - Byte arrays to join.\n * @returns Concatenated bytes.\n * @example\n * Join domain-separated chunks into one buffer.\n *\n * ```ts\n * concatBytes(Uint8Array.of(1), Uint8Array.of(2));\n * ```\n */\nexport const concatBytes = (...arrays) => concatBytes_(...arrays);\n/**\n * Decodes lowercase or uppercase hex into bytes.\n * @param hex - Hex string to decode.\n * @returns Decoded bytes.\n * @example\n * Parse fixture hex into bytes before hashing.\n *\n * ```ts\n * hexToBytes('0102');\n * ```\n */\nexport const hexToBytes = (hex) => hexToBytes_(hex);\n/**\n * Checks whether a value is a Uint8Array.\n * @param a - Value to inspect.\n * @returns `true` when `a` is a Uint8Array.\n * @example\n * Branch on byte input before decoding it.\n *\n * ```ts\n * isBytes(new Uint8Array(1));\n * ```\n */\nexport const isBytes = isBytes_;\n/**\n * Reads random bytes from the platform CSPRNG.\n * @param bytesLength - Number of random bytes to read.\n * @returns Fresh random bytes.\n * @example\n * Generate a random seed for a keypair.\n *\n * ```ts\n * randomBytes(2);\n * ```\n */\nexport const randomBytes = (bytesLength) => randomBytes_(bytesLength);\nconst _0n = /* @__PURE__ */ BigInt(0);\nconst _1n = /* @__PURE__ */ BigInt(1);\n// Shared error-message prefix builder. Only called on throw paths, so assert\n// success paths never pay for the string concatenation.\nconst atitle = (title) => (title ? `\"${title}\" ` : '');\n/**\n * Validates that a flag is boolean.\n * @param value - Value to validate.\n * @param title - Optional field name.\n * @returns Original value.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Reject non-boolean option flags early.\n *\n * ```ts\n * abool(true);\n * ```\n */\nexport function abool(value, title = '') {\n    if (typeof value !== 'boolean')\n        throw new TypeError(atitle(title) + 'expected boolean, got type=' + typeof value);\n    return value;\n}\n/**\n * Validates that a value is a non-negative bigint or safe integer.\n * @param n - Value to validate.\n * @returns The same validated value.\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Validate one integer-like value before serializing it.\n *\n * ```ts\n * abignumber(1n);\n * ```\n */\nexport function abignumber(n) {\n    if (typeof n === 'bigint') {\n        if (!isPosBig(n))\n            throw new RangeError('positive bigint expected, got ' + n);\n    }\n    else\n        anumber(n);\n    return n;\n}\n/**\n * Validates that a value is a safe integer.\n * @param value - Integer to validate.\n * @param title - Optional field name.\n * @throws On wrong argument types. {@link TypeError}\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Validate a window size before scalar arithmetic uses it.\n *\n * ```ts\n * asafenumber(1);\n * ```\n */\nexport function asafenumber(value, title = '') {\n    if (typeof value !== 'number') {\n        const prefix = title && `\"${title}\" `;\n        throw new TypeError(prefix + 'expected number, got type=' + typeof value);\n    }\n    if (!Number.isSafeInteger(value)) {\n        const prefix = title && `\"${title}\" `;\n        throw new RangeError(prefix + 'expected safe integer, got ' + value);\n    }\n}\n/**\n * Encodes a bigint into even-length big-endian hex.\n * The historical \"unpadded\" name only means \"no fixed-width field padding\"; odd-length hex still\n * gets one leading zero nibble so the result always represents whole bytes.\n * @param num - Number to encode.\n * @returns Big-endian hex string.\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Encode a scalar into hex without a `0x` prefix.\n *\n * ```ts\n * numberToHexUnpadded(255n);\n * ```\n */\nexport function numberToHexUnpadded(num) {\n    const hex = abignumber(num).toString(16);\n    return hex.length & 1 ? '0' + hex : hex;\n}\n/**\n * Parses a big-endian hex string into bigint.\n * Accepts odd-length hex through the native `BigInt('0x' + hex)` parser and currently surfaces the\n * same native `SyntaxError` for malformed hex instead of wrapping it in a library-specific error.\n * @param hex - Hex string without `0x`.\n * @returns Parsed bigint value.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Parse a scalar from fixture hex.\n *\n * ```ts\n * hexToNumber('ff');\n * ```\n */\nexport function hexToNumber(hex) {\n    if (typeof hex !== 'string')\n        throw new TypeError('hex string expected, got ' + typeof hex);\n    return hex === '' ? _0n : BigInt('0x' + hex); // Big Endian\n}\n// BE: Big Endian, LE: Little Endian\n/**\n * Parses big-endian bytes into bigint.\n * @param bytes - Bytes in big-endian order.\n * @returns Parsed bigint value.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Read a scalar encoded in network byte order.\n *\n * ```ts\n * bytesToNumberBE(Uint8Array.of(1, 0));\n * ```\n */\nexport function bytesToNumberBE(bytes) {\n    return hexToNumber(bytesToHex_(bytes));\n}\n/**\n * Parses little-endian bytes into bigint.\n * @param bytes - Bytes in little-endian order.\n * @returns Parsed bigint value.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Read a scalar encoded in little-endian form.\n *\n * ```ts\n * bytesToNumberLE(Uint8Array.of(1, 0));\n * ```\n */\nexport function bytesToNumberLE(bytes) {\n    return hexToNumber(bytesToHex_(copyBytes(abytes_(bytes)).reverse()));\n}\n/**\n * Encodes a bigint into fixed-length big-endian bytes.\n * @param n - Number to encode.\n * @param len - Output length in bytes. Must be greater than zero.\n * @returns Big-endian byte array.\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @throws If a documented runtime validation or state check fails. {@link Error}\n * @example\n * Serialize a scalar into a 32-byte field element.\n *\n * ```ts\n * numberToBytesBE(255n, 2);\n * ```\n */\nexport function numberToBytesBE(n, len) {\n    anumber_(len);\n    if (len === 0)\n        throw new Error('zero output length is invalid');\n    n = abignumber(n);\n    const expectedLen = len * 2;\n    const hex = n.toString(16);\n    // Detect overflow before hex parsing so oversized values don't leak the shared odd-hex error.\n    if (hex.length > expectedLen)\n        throw new RangeError('number is too large');\n    return hexToBytes_(hex.padStart(expectedLen, '0'));\n}\n/**\n * Encodes a bigint into fixed-length little-endian bytes.\n * @param n - Number to encode.\n * @param len - Output length in bytes.\n * @returns Little-endian byte array.\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @throws If a documented runtime validation or state check fails. {@link Error}\n * @example\n * Serialize a scalar for little-endian protocols.\n *\n * ```ts\n * numberToBytesLE(255n, 2);\n * ```\n */\nexport function numberToBytesLE(n, len) {\n    return numberToBytesBE(n, len).reverse();\n}\n// Unpadded, rarely used\n/**\n * Encodes a bigint into variable-length big-endian bytes.\n * @param n - Number to encode.\n * @returns Variable-length big-endian bytes.\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Serialize a bigint without fixed-width padding.\n *\n * ```ts\n * numberToVarBytesBE(255n);\n * ```\n */\nexport function numberToVarBytesBE(n) {\n    return hexToBytes_(numberToHexUnpadded(abignumber(n)));\n}\n// Compares 2 u8a-s in kinda constant time\n/**\n * Compares two byte arrays in constant-ish time.\n * @param a - Left byte array.\n * @param b - Right byte array.\n * @returns `true` when bytes match.\n * @example\n * Compare two encoded points without early exit.\n *\n * ```ts\n * equalBytes(Uint8Array.of(1), Uint8Array.of(1));\n * ```\n */\nexport function equalBytes(a, b) {\n    a = abytes(a);\n    b = abytes(b);\n    if (a.length !== b.length)\n        return false;\n    let diff = 0;\n    for (let i = 0; i < a.length; i++)\n        diff |= a[i] ^ b[i];\n    return diff === 0;\n}\n/**\n * Copies Uint8Array. We can't use u8a.slice(), because u8a can be Buffer,\n * and Buffer#slice creates mutable copy. Never use Buffers!\n * @param bytes - Bytes to copy.\n * @returns Detached copy.\n * @example\n * Make an isolated copy before mutating serialized bytes.\n *\n * ```ts\n * copyBytes(Uint8Array.of(1, 2, 3));\n * ```\n */\nexport function copyBytes(bytes) {\n    // `Uint8Array.from(...)` would also accept arrays / other typed arrays. Keep this helper strict\n    // because callers use it at byte-validation boundaries before mutating the detached copy.\n    return Uint8Array.from(abytes(bytes));\n}\n/**\n * Decodes 7-bit ASCII string to Uint8Array, throws on non-ascii symbols\n * Should be safe to use for things expected to be ASCII.\n * Returns exact same result as `TextEncoder` for ASCII or throws.\n * @param ascii - ASCII input text.\n * @returns Encoded bytes.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Encode an ASCII domain-separation tag.\n *\n * ```ts\n * asciiToBytes('ABC');\n * ```\n */\nexport function asciiToBytes(ascii) {\n    if (typeof ascii !== 'string')\n        throw new TypeError('ascii string expected, got ' + typeof ascii);\n    return Uint8Array.from(ascii, (c, i) => {\n        const charCode = c.charCodeAt(0);\n        if (c.length !== 1 || charCode > 127) {\n            throw new RangeError(`string contains non-ASCII character \"${ascii[i]}\" with code ${charCode} at position ${i}`);\n        }\n        return charCode;\n    });\n}\n/**\n * Checks whether n is non-negative bigint. Historical name.\n * @param n - candidate value\n * @returns `true` when the value is bigint and 0 or larger\n * @example\n * Check a candidate scalar before range validation.\n *\n * ```ts\n * isPosBig(2n);\n * ```\n */\nexport function isPosBig(n) {\n    return typeof n === 'bigint' && _0n <= n;\n}\n/**\n * Checks whether a bigint lies inside a half-open range.\n * @param n - Candidate value.\n * @param min - Inclusive lower bound.\n * @param max - Exclusive upper bound.\n * @returns `true` when the value is inside the range.\n * @example\n * Check whether a candidate scalar fits the field order.\n *\n * ```ts\n * inRange(2n, 1n, 3n);\n * ```\n */\nexport function inRange(n, min, max) {\n    return isPosBig(n) && isPosBig(min) && isPosBig(max) && min <= n && n < max;\n}\n/**\n * Asserts `min <= n < max`. NOTE: upper bound is exclusive.\n * @param title - Value label for error messages.\n * @param n - Candidate value.\n * @param min - Inclusive lower bound.\n * @param max - Exclusive upper bound.\n * Wrong-type inputs are not separated from out-of-range values here: they still flow through the\n * shared `RangeError` path because this is only a throwing wrapper around `inRange(...)`.\n * @throws On wrong argument ranges or values. {@link RangeError}\n * @example\n * Assert that a bigint stays within one half-open range.\n *\n * ```ts\n * aInRange('x', 2n, 1n, 256n);\n * ```\n */\nexport function aInRange(title, n, min, max) {\n    // Why min <= n < max and not a (min < n < max) OR b (min <= n <= max)?\n    // consider P=256n, min=0n, max=P\n    // - a for min=0 would require -1:          `inRange('x', x, -1n, P)`\n    // - b would commonly require subtraction:  `inRange('x', x, 0n, P - 1n)`\n    // - our way is the cleanest:               `inRange('x', x, 0n, P)\n    if (!inRange(n, min, max))\n        throw new RangeError('expected valid ' + title + ': ' + min + ' <= n < ' + max + ', got ' + n);\n}\n// Bit operations\n/**\n * Calculates amount of bits in a bigint.\n * Same as `n.toString(2).length`\n * TODO: merge with nLength in modular\n * @param n - Value to inspect.\n * @returns Bit length.\n * @throws If the value is negative. {@link Error}\n * @example\n * Measure the bit length of a scalar before serialization.\n *\n * ```ts\n * bitLen(8n);\n * ```\n */\nexport function bitLen(n) {\n    // Size callers in this repo only use non-negative orders / scalars, so negative inputs are a\n    // contract bug and must not silently collapse to zero bits.\n    if (n < _0n)\n        throw new Error('expected non-negative bigint, got ' + n);\n    // Native radix conversion beats a shift loop at every size, and the loop is quadratic in bits.\n    return n === _0n ? 0 : n.toString(2).length;\n}\n/**\n * Gets single bit at position.\n * NOTE: first bit position is 0 (same as arrays)\n * Same as `!!+Array.from(n.toString(2)).reverse()[pos]`\n * @param n - Source value.\n * @param pos - Bit position. Negative positions are passed through to raw\n *   bigint shift semantics; because the mask is built as `1n << pos`,\n *   they currently collapse to `0n` and make the helper a no-op.\n * @returns Bit as bigint.\n * @example\n * Gets single bit at position.\n *\n * ```ts\n * bitGet(5n, 0);\n * ```\n */\nexport function bitGet(n, pos) {\n    if (typeof n !== 'bigint')\n        throw new TypeError('\"n\" expected bigint, got type=' + typeof n);\n    asafenumber(pos, 'pos');\n    return (n >> BigInt(pos)) & _1n;\n}\n/**\n * Sets single bit at position.\n * @param n - Source value.\n * @param pos - Bit position. Negative positions are passed through to raw bigint shift semantics,\n *   so they currently behave like left shifts.\n * @param value - Whether the bit should be set.\n * @returns Updated bigint.\n * @example\n * Sets single bit at position.\n *\n * ```ts\n * bitSet(0n, 1, true);\n * ```\n */\nexport function bitSet(n, pos, value) {\n    if (typeof n !== 'bigint')\n        throw new TypeError('\"n\" expected bigint, got type=' + typeof n);\n    asafenumber(pos, 'pos');\n    abool(value, 'value');\n    const mask = _1n << BigInt(pos);\n    // Clearing needs AND-not here; OR with zero leaves an already-set bit untouched.\n    return value ? n | mask : n & ~mask;\n}\n/**\n * Calculate mask for N bits. Not using ** operator with bigints because of old engines.\n * Same as BigInt(`0b${Array(i).fill('1').join('')}`)\n * @param n - Number of bits. Negative widths are currently passed through to raw bigint shift\n *   semantics and therefore produce `-1n`.\n * @returns Bitmask value.\n * @example\n * Calculate mask for N bits.\n *\n * ```ts\n * bitMask(4);\n * ```\n */\nexport const bitMask = (n) => {\n    asafenumber(n, 'n');\n    return (_1n << BigInt(n)) - _1n;\n};\n/**\n * Minimal HMAC-DRBG from NIST 800-90 for RFC6979 sigs.\n * @param hashLen - Hash output size in bytes. Callers are expected to pass a positive length; `0`\n *   is not rejected here and would make the internal generate loop non-progressing.\n * @param qByteLen - Requested output size in bytes. Callers are expected to pass a positive length.\n * @param hmacFn - HMAC implementation.\n * @returns Function that will call DRBG until the predicate returns anything\n *   other than `undefined`.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Build a deterministic nonce generator for RFC6979-style signing.\n *\n * ```ts\n * import { createHmacDrbg } from '@noble/curves/utils.js';\n * import { hmac } from '@noble/hashes/hmac.js';\n * import { sha256 } from '@noble/hashes/sha2.js';\n * const hmacFn = (key: Uint8Array, msg: Uint8Array) => hmac(sha256, key, msg);\n * const drbg = createHmacDrbg(32, 32, hmacFn);\n * const seed = new Uint8Array(32);\n * drbg(seed, (bytes) => bytes);\n * ```\n */\nexport function createHmacDrbg(hashLen, qByteLen, hmacFn) {\n    anumber_(hashLen, 'hashLen');\n    anumber_(qByteLen, 'qByteLen');\n    if (typeof hmacFn !== 'function')\n        throw new TypeError('hmacFn must be a function');\n    // creates Uint8Array\n    const u8n = (len) => new Uint8Array(len);\n    const NULL = Uint8Array.of();\n    const byte0 = Uint8Array.of(0x00);\n    const byte1 = Uint8Array.of(0x01);\n    const _maxDrbgIters = 1000;\n    // Step B, Step C: set hashLen to 8*ceil(hlen/8).\n    // Minimal non-full-spec HMAC-DRBG from NIST 800-90 for RFC6979 signatures.\n    let v = u8n(hashLen);\n    // Steps B and C of RFC6979 3.2.\n    let k = u8n(hashLen);\n    let i = 0; // Iterations counter, will throw when over 1000\n    const reset = () => {\n        v.fill(1);\n        k.fill(0);\n        i = 0;\n    };\n    // hmac(k)(v, ...values)\n    const h = (...msgs) => hmacFn(k, concatBytes(v, ...msgs));\n    const reseed = (seed = NULL) => {\n        // HMAC-DRBG reseed() function. Steps D-G\n        k = h(byte0, seed); // k = hmac(k || v || 0x00 || seed)\n        v = h(); // v = hmac(k || v)\n        if (seed.length === 0)\n            return;\n        k = h(byte1, seed); // k = hmac(k || v || 0x01 || seed)\n        v = h(); // v = hmac(k || v)\n    };\n    const gen = () => {\n        // HMAC-DRBG generate() function\n        if (i++ >= _maxDrbgIters)\n            throw new Error('drbg: tried max amount of iterations');\n        let len = 0;\n        const out = [];\n        while (len < qByteLen) {\n            v = h();\n            const sl = v.slice();\n            out.push(sl);\n            len += v.length;\n        }\n        return concatBytes(...out);\n    };\n    const genUntil = (seed, pred) => {\n        reset();\n        reseed(seed); // Steps D-G\n        let res = undefined; // Step H: grind until the predicate accepts a candidate.\n        // Falsy values like 0 are valid outputs.\n        while ((res = pred(gen())) === undefined)\n            reseed();\n        reset();\n        return res;\n    };\n    return genUntil;\n}\n/**\n * Validates declared required and optional field types on a plain object.\n * Extra keys are intentionally ignored because many callers validate only the subset they use from\n * richer option bags or runtime objects.\n * This walks field schemas and formats detailed errors, so avoid it on hot paths; use direct\n * one-line guards such as `aobject()`, `afunction()`, `abool()`, or `asafenumber()` instead.\n * @param object - Object to validate.\n * @param fields - Required field types.\n * @param optFields - Optional field types.\n * @param title - Object label included in thrown errors.\n * @throws On wrong argument types. {@link TypeError}\n * @example\n * Check user options before building a curve helper.\n *\n * ```ts\n * validateObject({ flag: true }, { flag: 'boolean' });\n * ```\n */\nexport function validateObject(object, fields = {}, optFields = {}, title = 'object') {\n    aobject(object, title);\n    aobject(fields, 'fields');\n    aobject(optFields, 'optFields');\n    function checkField(fieldName, expectedType, isOpt) {\n        const label = title === 'object' ? `param \"${String(fieldName)}\"` : `\"${title}.${String(fieldName)}\"`;\n        // Config fields must be explicit own properties. Optional inherited values are rejected too\n        // because callers keep reading the same options object after validation.\n        const val = object[fieldName];\n        // Runtime objects such as Field instances intentionally satisfy required method slots\n        // via their shared prototype.\n        if (!Object.hasOwn(object, fieldName) &&\n            (isOpt ? val !== undefined : expectedType !== 'function')) {\n            throw new TypeError(`${label} is invalid: expected own property`);\n        }\n        if (isOpt && val === undefined)\n            return;\n        const current = typeof val;\n        if (current !== expectedType || val === null)\n            throw new TypeError(`${label} is invalid: expected ${expectedType}, got ${current}`);\n    }\n    const iter = (f, isOpt) => Object.entries(f).forEach(([k, v]) => checkField(k, v, isOpt));\n    iter(fields, false);\n    iter(optFields, true);\n}\n/**\n * Throws not implemented error.\n * @returns Never returns.\n * @throws If the unfinished code path is reached. {@link Error}\n * @example\n * Surface the placeholder error from an unfinished code path.\n *\n * ```ts\n * try {\n *   notImplemented();\n * } catch {}\n * ```\n */\nexport const notImplemented = () => {\n    throw new Error('not implemented');\n};\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) */\nimport { aarray, abool, abytes, afunction, anumber, aobject, asafenumber, bitLen, bytesToNumberBE, bytesToNumberLE, numberToBytesBE, numberToBytesLE, } from \"../utils.js\";\n// Numbers aren't used in x25519 / x448 builds\n// prettier-ignore\nconst _0n = /* @__PURE__ */ BigInt(0), _1n = /* @__PURE__ */ BigInt(1), _2n = /* @__PURE__ */ BigInt(2);\n// prettier-ignore\nconst _3n = /* @__PURE__ */ BigInt(3), _4n = /* @__PURE__ */ BigInt(4), _5n = /* @__PURE__ */ BigInt(5);\n// prettier-ignore\nconst _7n = /* @__PURE__ */ BigInt(7), _8n = /* @__PURE__ */ BigInt(8), _9n = /* @__PURE__ */ BigInt(9);\nconst _15n = /* @__PURE__ */ BigInt(15), _16n = /* @__PURE__ */ BigInt(16);\n// 2^64: exponents below this use plain square-and-multiply in pow()/FpPow(); the windowed path's\n// table build (14 multiplications) only pays off for longer exponents (break-even ~50 bits).\nconst POW_WINDOWED_MIN = /* @__PURE__ */ BigInt('0x10000000000000000');\n/**\n * @param a - Dividend value.\n * @param b - Positive modulus.\n * @returns Reduced value in `[0, b)` only when `b` is positive.\n * @throws If the modulus is not positive. {@link Error}\n * @example\n * Normalize a bigint into one field residue.\n *\n * ```ts\n * mod(-1n, 5n);\n * ```\n */\nexport function mod(a, b) {\n    if (b <= _0n)\n        throw new Error('mod: expected positive modulus, got ' + b);\n    const result = a % b;\n    return result >= _0n ? result : b + result;\n}\n/**\n * Efficiently raise num to a power with modular reduction.\n * Unsafe in some contexts: uses ladder, so can expose bigint bits.\n * Low-level helper: callers that need canonical residues must pass a valid `num` for the chosen\n * modulus instead of relying on the `power===0/1` fast paths to normalize it.\n * @param num - Base value.\n * @param power - Exponent value.\n * @param modulo - Reduction modulus.\n * @returns Modular exponentiation result.\n * @throws If the modulus or exponent is invalid. {@link Error}\n * @example\n * Raise one bigint to a modular power.\n *\n * ```ts\n * pow(2n, 6n, 11n) // 64n % 11n == 9n\n * ```\n */\nexport function pow(num, power, modulo) {\n    if (modulo <= _1n)\n        throw new Error('pow: expected modulus > 1, got ' + modulo);\n    // Non-bigint exponents coerce every comparison below to false and would silently return 1.\n    if (typeof power !== 'bigint')\n        throw new TypeError('invalid exponent: expected bigint, got ' + typeof power);\n    if (power < _0n)\n        throw new Error('invalid exponent, negatives unsupported');\n    if (power === _0n)\n        return _1n;\n    if (power === _1n)\n        return num;\n    let d = num % modulo;\n    if (d < _0n)\n        d += modulo;\n    // Control flow in both branches below depends only on the exponent, never on `num` — invertCt()\n    // relies on that for its (public-exponent) secret-independence guarantee.\n    if (power < POW_WINDOWED_MIN) {\n        // Square-and-multiply: cheaper than the windowed path for short exponents.\n        let p = _1n;\n        while (power > _0n) {\n            if (power & _1n)\n                p = (p * d) % modulo;\n            d = (d * d) % modulo;\n            power >>= _1n;\n        }\n        return p;\n    }\n    // Fixed 4-bit windows, MSB-first: a 14-multiplication table drops per-window cost to <1\n    // multiplication (vs ~2 per window for square-and-multiply), ~25-30% faster for the dense\n    // 256-bit exponents of sqrt / Legendre / invertCt.\n    const digits = [];\n    while (power > _0n) {\n        digits.push(Number(power & _15n));\n        power >>= _4n;\n    }\n    const table = new Array(16);\n    table[0] = _1n;\n    table[1] = d;\n    for (let i = 2; i < 16; i++)\n        table[i] = (table[i - 1] * d) % modulo;\n    let p = table[digits[digits.length - 1]]; // top digit is nonzero: the loop above stops on 0\n    for (let w = digits.length - 2; w >= 0; w--) {\n        p = (p * p) % modulo;\n        p = (p * p) % modulo;\n        p = (p * p) % modulo;\n        p = (p * p) % modulo;\n        const digit = digits[w];\n        if (digit !== 0)\n            p = (p * table[digit]) % modulo;\n    }\n    return p;\n}\n/**\n * Does `x^(2^power)` mod p. `pow2(30, 4)` == `30^(2^4)`.\n * Low-level helper: callers that need canonical residues must pass a valid `x` for the chosen\n * modulus; the `power===0` fast path intentionally returns the input unchanged.\n * @param x - Base value.\n * @param power - Number of squarings.\n * @param modulo - Reduction modulus.\n * @returns Repeated-squaring result.\n * @throws If the exponent is negative. {@link Error}\n * @example\n * Apply repeated squaring inside one field.\n *\n * ```ts\n * pow2(3n, 2n, 11n);\n * ```\n */\nexport function pow2(x, power, modulo) {\n    if (modulo <= _1n)\n        throw new Error('pow2: expected modulus > 1, got ' + modulo);\n    if (power < _0n)\n        throw new Error('pow2: expected non-negative exponent, got ' + power);\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 the {@link https://brilliant.org/wiki/extended-euclidean-algorithm/ | extended Euclidean algorithm}.\n * @param number - Value to invert.\n * @param modulo - Modulus greater than 1.\n * @returns Multiplicative inverse.\n * @throws If the modulus is invalid or the inverse does not exist. {@link Error}\n * @example\n * Compute one modular inverse with the extended Euclidean algorithm.\n *\n * ```ts\n * invert(3n, 11n);\n * ```\n */\nexport function invert(number, modulo) {\n    if (number === _0n)\n        throw new Error('invert: expected non-zero number');\n    // modulo = 1 is the zero ring: gcd(x, 1) = 1 makes the loop below \"succeed\" and return the\n    // useless inverse 0. Reject it like pow() and invertCt() do.\n    if (modulo <= _1n)\n        throw new Error('invert: expected modulus > 1, got ' + modulo);\n    // This is variable-time: the loop count depends on `number`. For a secret-independent\n    // (Fermat) alternative over a prime modulus, see {@link invertCt} (~4x slower).\n    let a = mod(number, modulo);\n    let b = modulo;\n    // Only the Bézout coefficient of `number` (x/u chain) is tracked; the coefficient of `modulo`\n    // never affects the output, so it is not computed.\n    // prettier-ignore\n    let x = _0n, u = _1n;\n    while (a !== _0n) {\n        const q = b / a;\n        const r = b - a * q;\n        const m = x - u * q;\n        // prettier-ignore\n        b = a, a = r, x = u, u = m;\n    }\n    const gcd = b;\n    if (gcd !== _1n)\n        throw new Error('invert: does not exist');\n    return mod(x, modulo);\n}\n/**\n * Inverses number over modulo using Fermat's little theorem: `a^(p-2) ≡ a⁻¹ (mod p)`.\n *\n * Unlike {@link invert} (extended Euclidean), the exponent `p-2` is a public constant, so the\n * underlying square-and-multiply has the same control flow for every secret `a`: there is no\n * data-dependent branching or loop count that could leak `a` through timing (e.g. Minerva-style\n * ECDSA nonce-inversion attacks). This is only \"algorithmically\" constant-time — JS bigint\n * multiplication/reduction is still value-dependent — and it is roughly 4x slower than\n * {@link invert}.\n *\n * REQUIRES a prime modulus; Fermat's theorem does not hold otherwise. The result is verified to be\n * a real inverse, so a non-prime modulus (or a non-invertible input) fails closed with an error\n * instead of returning a wrong value.\n * @param a - Value to invert.\n * @param prime - Prime modulus.\n * @returns Multiplicative inverse in `[1, prime)`.\n * @throws If the modulus is below 2, the input reduces to zero, or the inverse does not exist.\n *   {@link Error}\n * @example\n * Compute one modular inverse without secret-dependent branching.\n *\n * ```ts\n * invertCt(3n, 11n); // 4n, since 3 * 4 = 12 ≡ 1 (mod 11)\n * ```\n */\nexport function invertCt(a, prime) {\n    if (prime <= _1n)\n        throw new Error('invertCt: expected prime modulus > 1, got ' + prime);\n    const an = mod(a, prime);\n    if (an === _0n)\n        throw new Error('invertCt: expected non-zero number');\n    // Exponent (prime - 2) is public, so FpPow's square-and-multiply is secret-independent.\n    const inverse = pow(an, prime - _2n, prime);\n    // O(1) safety net: verifies the inverse and rejects composite moduli where a^(p-2) is not one.\n    if (mod(an * inverse, prime) !== _1n)\n        throw new Error('invertCt: does not exist');\n    return inverse;\n}\nfunction assertIsSquare(Fp, root, n) {\n    const F = Fp;\n    if (!F.eql(F.sqr(root), n))\n        throw new Error('Cannot find square root');\n}\n// The Legendre symbol and every sqrt variant here are only defined over an odd (prime) modulus.\n// An even ORDER makes their integer divisions — (p-1)/2, (p+1)/4, (p-5)/8, (p+7)/16 — truncate and\n// silently return a wrong result, so reject it explicitly at the entry points instead. This is a\n// cheap necessary-condition check, not a primality test (composite odd moduli are caught later by\n// the Legendre-result / assertIsSquare checks).\nfunction aoddModulus(order, fnName) {\n    if ((order & _1n) === _0n)\n        throw new Error(fnName + ': expected odd modulus, got ' + order);\n}\n// Not all roots are possible! Example which will throw:\n// const NUM =\n// n = 72057594037927816n;\n// Fp = Field(BigInt('0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab'));\nfunction sqrt3mod4(Fp, n) {\n    const F = Fp;\n    const p1div4 = (F.ORDER + _1n) / _4n;\n    const root = F.pow(n, p1div4);\n    assertIsSquare(F, root, n);\n    return root;\n}\n// Equivalent `q = 5 (mod 8)` square-root formula (Atkin-style), not the RFC Appendix I.2 CMOV\n// pseudocode verbatim.\nfunction sqrt5mod8(Fp, n) {\n    const F = Fp;\n    const p5div8 = (F.ORDER - _5n) / _8n;\n    const n2 = F.mul(n, _2n);\n    const v = F.pow(n2, p5div8);\n    const nv = F.mul(n, v);\n    const i = F.mul(F.mul(nv, _2n), v);\n    const root = F.mul(nv, F.sub(i, F.ONE));\n    assertIsSquare(F, root, n);\n    return root;\n}\n// Based on RFC9380, Kong algorithm\n// prettier-ignore\nfunction 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        const F = Fp;\n        let tv1 = F.pow(n, c4); //  1. tv1 = x^c4\n        let tv2 = F.mul(tv1, c1); //  2. tv2 = c1 * tv1\n        const tv3 = F.mul(tv1, c2); //  3. tv3 = c2 * tv1\n        const tv4 = F.mul(tv1, c3); //  4. tv4 = c3 * tv1\n        const e1 = F.eql(F.sqr(tv2), n); //  5.  e1 = (tv2^2) == x\n        const e2 = F.eql(F.sqr(tv3), n); //  6.  e2 = (tv3^2) == x\n        tv1 = F.cmov(tv1, tv2, e1); //  7. tv1 = CMOV(tv1, tv2, e1)  # Select tv2 if (tv2^2) == x\n        tv2 = F.cmov(tv4, tv3, e2); //  8. tv2 = CMOV(tv4, tv3, e2)  # Select tv3 if (tv3^2) == x\n        const e3 = F.eql(F.sqr(tv2), n); //  9.  e3 = (tv2^2) == x\n        const root = F.cmov(tv1, tv2, e3); // 10.  z = CMOV(tv1, tv2, e3)   # Select sqrt from tv1 & tv2\n        assertIsSquare(F, root, n);\n        return root;\n    });\n}\n/**\n * Tonelli-Shanks square root search algorithm.\n * This implementation is variable-time: it searches data-dependently for the first non-residue `Z`\n * and for the smallest `i` in the main loop, unlike RFC 9380 Appendix I.4's constant-time shape.\n * 1. {@link https://eprint.iacr.org/2012/685.pdf | eprint 2012/685}, 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 * @throws If the field is too small, non-prime, or the square root does not exist. {@link Error}\n * @example\n * Construct a square-root helper for primes that need Tonelli-Shanks.\n *\n * ```ts\n * import { Field, tonelliShanks } from '@noble/curves/abstract/modular.js';\n * const Fp = Field(17n);\n * const sqrt = tonelliShanks(17n)(Fp, 4n);\n * ```\n */\nexport function tonelliShanks(P) {\n    // Initialization (precomputation).\n    // Caching initialization could boost perf by 7%.\n    if (P < _3n)\n        throw new Error('sqrt is not defined for small field');\n    aoddModulus(P, 'tonelliShanks');\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)\n            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)\n        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        const F = Fp;\n        if (F.is0(n))\n            return n;\n        // Check if n is a quadratic residue using Legendre symbol\n        if (FpLegendre(F, n) !== 1)\n            throw new Error('Cannot find square root');\n        // Initialize variables for the main loop\n        let M = S;\n        let c = F.mul(F.ONE, cc); // c = z^Q, move cc from field _Fp into field Fp\n        let t = F.pow(n, Q); // t = n^Q, first guess at the fudge factor\n        let R = F.pow(n, Q1div2); // R = n^((Q+1)/2), first guess at the square root\n        // Main loop\n        // while t != 1\n        while (!F.eql(t, F.ONE)) {\n            // Unreachable over a genuine field (no zero divisors; n=0 already returned above). A zero t\n            // means composite ORDER, where a fabricated root would be wrong: fail closed instead.\n            if (F.is0(t))\n                throw new Error('Cannot find square root: probably non-prime P');\n            let i = 1;\n            // Find the smallest i >= 1 such that t^(2^i) ≡ 1 (mod P)\n            let t_tmp = F.sqr(t); // t^(2^1)\n            while (!F.eql(t_tmp, F.ONE)) {\n                i++;\n                t_tmp = F.sqr(t_tmp); // t^(2^2)...\n                if (i === M)\n                    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 = F.pow(c, exponent); // b = 2^(M - i - 1)\n            // Update variables\n            M = i;\n            c = F.sqr(b); // c = b^2\n            t = F.mul(t, c); // t = (t * b^2)\n            R = F.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 choose a root by oddness\n * (used for hash-to-curve).\n * @param P - Field order.\n * @returns Square-root helper. The generic fallback inherits Tonelli-Shanks' variable-time\n *   behavior and this selector assumes prime-field-style integer moduli.\n * @throws If the field is unsupported or the square root does not exist. {@link Error}\n * @example\n * Choose the square-root helper appropriate for one field modulus.\n *\n * ```ts\n * import { Field, FpSqrt } from '@noble/curves/abstract/modular.js';\n * const Fp = Field(17n);\n * const sqrt = FpSqrt(17n)(Fp, 4n);\n * ```\n */\nexport function FpSqrt(P) {\n    aoddModulus(P, 'Fp.sqrt');\n    // P ≡ 3 (mod 4) => √n = n^((P+1)/4)\n    if (P % _4n === _3n)\n        return sqrt3mod4;\n    // P ≡ 5 (mod 8) => Atkin algorithm, page 10 of https://eprint.iacr.org/2012/685.pdf\n    if (P % _8n === _5n)\n        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)\n        return sqrt9mod16(P);\n    // Tonelli-Shanks algorithm\n    return tonelliShanks(P);\n}\n/**\n * @param num - Value to inspect.\n * @param modulo - Field modulus.\n * @returns `true` when the least-significant little-endian bit is set.\n * @throws If the modulus is invalid for `mod(...)`. {@link Error}\n * @example\n * Inspect the low bit used by little-endian sign conventions.\n *\n * ```ts\n * isNegativeLE(3n, 11n);\n * ```\n */\nexport const isNegativeLE = (num, modulo) => (mod(num, modulo) & _1n) === _1n;\n// prettier-ignore\n// Arithmetic-only subset checked by validateField(). This is intentionally not the full runtime\n// IField contract: helpers like `isValidNot0`, `invertBatch`, `toBytes`, `fromBytes`, `cmov`, and\n// field-specific extras like `isOdd` are left to the callers that actually need them.\nconst FIELD_FIELDS = [\n    'create', 'isValid', 'is0', 'neg', 'inv', 'sqrt', 'sqr',\n    'eql', 'add', 'sub', 'mul', 'pow', 'div',\n    'addN', 'subN', 'mulN', 'sqrN'\n];\n/**\n * @param field - Field implementation.\n * @returns Validated field. This only checks the arithmetic subset needed by generic helpers; it\n *   does not guarantee full runtime-method coverage for serialization, batching, `cmov`, or\n *   field-specific extras beyond positive `BYTES` / `BITS`.\n * @throws If the field shape or numeric metadata are invalid. {@link Error}\n * @example\n * Check that a field implementation exposes the operations curve code expects.\n *\n * ```ts\n * import { Field, validateField } from '@noble/curves/abstract/modular.js';\n * const Fp = validateField(Field(17n));\n * ```\n */\nexport function validateField(field) {\n    aobject(field, 'field');\n    if (typeof field.ORDER !== 'bigint')\n        throw new TypeError('param \"ORDER\" is invalid: expected bigint, got ' + typeof field.ORDER);\n    // Runtime field implementations must expose real integer byte/bit sizes; fractional / NaN /\n    // infinite metadata breaks encoders and caches.\n    asafenumber(field.BYTES, 'BYTES');\n    asafenumber(field.BITS, 'BITS');\n    for (const name of FIELD_FIELDS)\n        afunction(field[name], 'field.' + name);\n    // Runtime field implementations must expose positive byte/bit sizes; zero leaks through the\n    // numeric shape checks above but still breaks encoding helpers and cached-length assumptions.\n    if (field.BYTES < 1 || field.BITS < 1)\n        throw new Error('invalid field: expected BYTES/BITS > 0');\n    if (field.ORDER <= _1n)\n        throw new Error('invalid field: expected ORDER > 1, got ' + field.ORDER);\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 * @param Fp - Field implementation.\n * @param num - Base value.\n * @param power - Exponent value.\n * @returns Powered field element.\n * @throws If the exponent is negative. {@link Error}\n * @example\n * Raise one field element to a public exponent.\n *\n * ```ts\n * import { Field, FpPow } from '@noble/curves/abstract/modular.js';\n * const Fp = Field(17n);\n * const x = FpPow(Fp, 3n, 5n);\n * ```\n */\nexport function FpPow(Fp, num, power) {\n    validateField(Fp);\n    const F = Fp;\n    // Non-bigint exponents (e.g. an accidental field element) coerce every comparison below to\n    // false and would silently return ONE.\n    if (typeof power !== 'bigint')\n        throw new TypeError('invalid exponent: expected bigint, got ' + typeof power);\n    if (power < _0n)\n        throw new Error('invalid exponent, negatives unsupported');\n    if (power === _0n)\n        return F.ONE;\n    if (power === _1n)\n        return num;\n    if (power < POW_WINDOWED_MIN) {\n        // Square-and-multiply: cheaper than the windowed path for short exponents (e.g. poseidon\n        // sbox x^5), which would waste the 14-multiplication table build.\n        let p = F.ONE;\n        let d = num;\n        while (power > _0n) {\n            if (power & _1n)\n                p = F.mul(p, d);\n            d = F.sqr(d);\n            power >>= _1n;\n        }\n        return p;\n    }\n    // Fixed 4-bit windows, MSB-first — same shape as pow() above, over generic field ops.\n    // Speeds up dense long exponents (extension-field sqrt / Legendre, e.g. Fp2 decompression).\n    const digits = [];\n    while (power > _0n) {\n        digits.push(Number(power & _15n));\n        power >>= _4n;\n    }\n    const table = new Array(16);\n    table[0] = F.ONE;\n    table[1] = num;\n    for (let i = 2; i < 16; i++)\n        table[i] = F.mul(table[i - 1], num);\n    let p = table[digits[digits.length - 1]]; // top digit is nonzero: the loop above stops on 0\n    for (let w = digits.length - 2; w >= 0; w--) {\n        p = F.sqr(F.sqr(F.sqr(F.sqr(p))));\n        const digit = digits[w];\n        if (digit !== 0)\n            p = F.mul(p, table[digit]);\n    }\n    return p;\n}\nexport function FpInvertBatch(Fp, nums, passZero = false) {\n    validateField(Fp);\n    aarray(nums, 'nums');\n    abool(passZero, 'passZero');\n    const F = Fp;\n    const inverted = new Array(nums.length).fill(passZero ? F.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 (F.is0(num))\n            return acc;\n        inverted[i] = acc;\n        return F.mul(acc, num);\n    }, F.ONE);\n    // Invert last element\n    const invertedAcc = F.inv(multipliedAcc);\n    // Walk from last to first, multiply them by inverted each other MOD p\n    nums.reduceRight((acc, num, i) => {\n        if (F.is0(num))\n            return acc;\n        // Non-zero `num` means the forward pass already stored a defined prefix product at index i.\n        inverted[i] = F.mul(acc, inverted[i]);\n        return F.mul(acc, num);\n    }, invertedAcc);\n    return inverted;\n}\n/**\n * @param Fp - Field implementation.\n * @param lhs - Dividend value.\n * @param rhs - Divisor value.\n * @returns Division result.\n * @throws If the divisor is non-invertible. {@link Error}\n * @example\n * Divide one field element by another.\n *\n * ```ts\n * import { Field, FpDiv } from '@noble/curves/abstract/modular.js';\n * const Fp = Field(17n);\n * const x = FpDiv(Fp, 6n, 3n);\n * ```\n */\nexport function FpDiv(Fp, lhs, rhs) {\n    validateField(Fp);\n    const F = Fp;\n    return F.mul(lhs, typeof rhs === 'bigint' ? invert(rhs, F.ORDER) : F.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 * @param Fp - Field implementation.\n * @param n - Value to inspect.\n * @returns Legendre symbol.\n * @throws If the powered value does not match a valid Legendre symbol. {@link Error}\n * @example\n * Compute the Legendre symbol of one field element.\n *\n * ```ts\n * import { Field, FpLegendre } from '@noble/curves/abstract/modular.js';\n * const Fp = Field(17n);\n * const symbol = FpLegendre(Fp, 4n);\n * ```\n */\nexport function FpLegendre(Fp, n) {\n    validateField(Fp);\n    const F = Fp;\n    aoddModulus(F.ORDER, 'FpLegendre');\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 = (F.ORDER - _1n) / _2n;\n    const powered = F.pow(n, p1mod2);\n    const yes = F.eql(powered, F.ONE);\n    const zero = F.eql(powered, F.ZERO);\n    const no = F.eql(powered, F.neg(F.ONE));\n    if (!yes && !zero && !no)\n        throw new Error('invalid Legendre symbol result');\n    return yes ? 1 : zero ? 0 : -1;\n}\n/**\n * @param Fp - Field implementation.\n * @param n - Value to inspect.\n * @returns `true` when `Fp.sqrt(n)` exists. This includes `0`, even though strict \"quadratic\n *   residue\" terminology often reserves that name for the non-zero square class.\n * @throws If the field returns an invalid Legendre symbol value. {@link Error}\n * @example\n * Check whether one field element has a square root in the field.\n *\n * ```ts\n * import { Field, FpIsSquare } from '@noble/curves/abstract/modular.js';\n * const Fp = Field(17n);\n * const isSquare = FpIsSquare(Fp, 4n);\n * ```\n */\nexport function FpIsSquare(Fp, n) {\n    const l = FpLegendre(Fp, n);\n    // Zero is a square too: 0 = 0^2, and Fp.sqrt(0) already returns 0.\n    return l !== -1;\n}\n/**\n * @param n - Curve order. Callers are expected to pass a positive order.\n * @param nBitLength - Optional cached bit length. Callers are expected to pass a positive cached\n *   value when overriding the derived bit length.\n * @returns Byte and bit lengths.\n * @throws If the order or cached bit length is invalid. {@link Error}\n * @example\n * Measure the encoding sizes needed for one modulus.\n *\n * ```ts\n * nLength(255n);\n * ```\n */\nexport function nLength(n, nBitLength) {\n    // Bit size, byte size of CURVE.n\n    if (nBitLength !== undefined)\n        anumber(nBitLength);\n    if (n <= _0n)\n        throw new Error('invalid n length: expected positive n, got ' + n);\n    if (nBitLength !== undefined && nBitLength < 1)\n        throw new Error('invalid n length: expected positive bit length, got ' + nBitLength);\n    const bits = bitLen(n);\n    // Cached bit lengths smaller than ORDER would truncate serialized scalars/elements and poison\n    // any math that relies on the derived field metadata.\n    if (nBitLength !== undefined && nBitLength < bits)\n        throw new Error(`invalid n length: expected nBitLength (${nBitLength}) >= bitLen(n) (${bits})`);\n    const _nBitLength = nBitLength !== undefined ? nBitLength : bits;\n    const nByteLength = Math.ceil(_nBitLength / 8);\n    return { nBitLength: _nBitLength, nByteLength };\n}\n// Keep the lazy sqrt cache off-instance so Field(...) can return a frozen object. Otherwise the\n// cached helper write would keep the field surface externally mutable.\nconst FIELD_SQRT = new WeakMap();\nclass _Field {\n    ORDER;\n    BITS;\n    BYTES;\n    isLE;\n    ZERO = _0n;\n    ONE = _1n;\n    _lengths;\n    _mod;\n    constructor(ORDER, opts = {}) {\n        // ORDER <= 1 is degenerate: ONE would not be a valid field element and helpers like pow/inv\n        // would stop modeling field arithmetic.\n        if (ORDER <= _1n)\n            throw new Error('invalid field: expected ORDER > 1, got ' + ORDER);\n        let _nbitLength = undefined;\n        this.isLE = false;\n        if (opts != null && typeof opts === 'object') {\n            // Cached bit lengths are trusted here and should already be positive / consistent with ORDER.\n            if (typeof opts.BITS === 'number')\n                _nbitLength = opts.BITS;\n            if (typeof opts.sqrt === 'function')\n                // `_Field.prototype` is frozen below, so custom sqrt hooks must become own properties\n                // explicitly instead of relying on writable prototype shadowing via assignment.\n                Object.defineProperty(this, 'sqrt', { value: opts.sqrt, enumerable: true });\n            if (typeof opts.isLE === 'boolean')\n                this.isLE = opts.isLE;\n            if (opts.allowedLengths)\n                this._lengths = Object.freeze(opts.allowedLengths.slice());\n            if (typeof opts.modFromBytes === 'boolean')\n                this._mod = opts.modFromBytes;\n        }\n        const { nBitLength, nByteLength } = nLength(ORDER, _nbitLength);\n        if (nByteLength > 2048)\n            throw new Error('invalid field: expected ORDER of <= 2048 bytes');\n        this.ORDER = ORDER;\n        this.BITS = nBitLength;\n        this.BYTES = nByteLength;\n        Object.freeze(this);\n    }\n    create(num) {\n        return mod(num, this.ORDER);\n    }\n    isValid(num) {\n        if (typeof num !== 'bigint')\n            throw new TypeError('invalid field element: expected bigint, got ' + typeof num);\n        return _0n <= num && num < this.ORDER; // 0 is valid element, but it's not invertible\n    }\n    is0(num) {\n        return num === _0n;\n    }\n    // is valid and invertible\n    isValidNot0(num) {\n        return !this.is0(num) && this.isValid(num);\n    }\n    isOdd(num) {\n        return (num & _1n) === _1n;\n    }\n    neg(num) {\n        return mod(-num, this.ORDER);\n    }\n    eql(lhs, rhs) {\n        return lhs === rhs;\n    }\n    sqr(num) {\n        return mod(num * num, this.ORDER);\n    }\n    add(lhs, rhs) {\n        return mod(lhs + rhs, this.ORDER);\n    }\n    sub(lhs, rhs) {\n        return mod(lhs - rhs, this.ORDER);\n    }\n    mul(lhs, rhs) {\n        return mod(lhs * rhs, this.ORDER);\n    }\n    pow(num, power) {\n        return pow(num, power, this.ORDER);\n    }\n    div(lhs, rhs) {\n        return mod(lhs * invert(rhs, this.ORDER), this.ORDER);\n    }\n    // Same as above, but doesn't normalize\n    sqrN(num) {\n        return num * num;\n    }\n    addN(lhs, rhs) {\n        return lhs + rhs;\n    }\n    subN(lhs, rhs) {\n        return lhs - rhs;\n    }\n    mulN(lhs, rhs) {\n        return lhs * rhs;\n    }\n    inv(num) {\n        return invert(num, this.ORDER);\n    }\n    sqrt(num) {\n        // Caching sqrt helpers speeds up sqrt9mod16 by 5x and Tonelli-Shanks by about 10% without keeping\n        // the field instance itself mutable.\n        let sqrt = FIELD_SQRT.get(this);\n        if (!sqrt)\n            FIELD_SQRT.set(this, (sqrt = FpSqrt(this.ORDER)));\n        return sqrt(this, num);\n    }\n    toBytes(num) {\n        // Serialize fixed-width limbs without re-validating the field range. Callers that need a\n        // canonical encoding must pass a valid element; some protocols intentionally serialize raw\n        // residues here and reduce or validate them elsewhere.\n        return this.isLE ? numberToBytesLE(num, this.BYTES) : numberToBytesBE(num, this.BYTES);\n    }\n    fromBytes(bytes, skipValidation = false) {\n        abytes(bytes);\n        const { _lengths: allowedLengths, BYTES, isLE, ORDER, _mod: modFromBytes } = this;\n        if (allowedLengths) {\n            // `allowedLengths` must list real positive byte lengths; otherwise empty input would get\n            // padded into zero and silently decode as a field element.\n            if (bytes.length < 1 || !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)\n            throw new Error('Field.fromBytes: expected ' + BYTES + ' bytes, got ' + bytes.length);\n        let scalar = isLE ? bytesToNumberLE(bytes) : bytesToNumberBE(bytes);\n        if (modFromBytes)\n            scalar = mod(scalar, ORDER);\n        if (!skipValidation)\n            if (!this.isValid(scalar))\n                throw new Error('invalid field element: outside of range 0..ORDER');\n        // Range validation is optional here because some protocols intentionally decode raw residues\n        // and reduce or validate them elsewhere.\n        return scalar;\n    }\n    // TODO: we don't need it here, move out to separate fn\n    invertBatch(lst) {\n        // `passZero` keeps the `bigint[]` contract honest: zero inputs map to `0` instead of leaking\n        // `undefined` into a `bigint[]`. Callers that must distinguish non-invertible inputs should use\n        // `FpInvertBatch` directly, whose default omits `passZero` and returns `(bigint | undefined)[]`.\n        return FpInvertBatch(this, lst, true);\n    }\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, condition) {\n        // Field elements have `isValid(...)`; the CMOV branch bit is a direct runtime input, so reject\n        // non-boolean selectors here instead of letting JS truthiness silently change arithmetic.\n        abool(condition, 'condition');\n        return condition ? b : a;\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. Frozen stable object shape; the lazy sqrt cache lives in a module-level `WeakMap`.\n * Fragile: always run a benchmark on a change.\n * Security note: operations and low-level serializers like `toBytes` don't check `isValid` for\n * all elements for performance and protocol-flexibility reasons; callers are responsible for\n * supplying valid elements when they need canonical field behavior.\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 opts - Field options such as bit length or endianness. See {@link FieldOpts}.\n * @returns Frozen field instance with a stable object shape. This wrapper forwards `opts` straight\n *   into `_Field`, so it inherits `_Field`'s assumptions about cached sizes and `allowedLengths`.\n * @example\n * Construct one prime field with optional overrides.\n *\n * ```ts\n * Field(11n);\n * ```\n */\nexport function Field(ORDER, opts = {}) {\n    // Freeze the shared method surface before any instance is reachable; otherwise callers can\n    // poison every Field instance by monkey-patching `_Field.prototype` even if each instance is\n    // frozen. Freezing here instead of module scope keeps `_Field` tree-shakeable for importers\n    // that never construct a field; the call is idempotent and cheap.\n    Object.freeze(_Field.prototype);\n    return new _Field(ORDER, opts);\n}\n/**\n * @param Fp - Field implementation.\n * @param elm - Value to square-root.\n * @returns Odd square root when two roots exist. The special case `elm = 0` still returns `0`,\n *   which is the only square root but is not odd.\n * @throws If the field lacks oddness checks or the square root does not exist. {@link Error}\n * @example\n * Select the odd square root when two roots exist.\n *\n * ```ts\n * import { Field, FpSqrtOdd } from '@noble/curves/abstract/modular.js';\n * const Fp = Field(17n);\n * const root = FpSqrtOdd(Fp, 4n);\n * ```\n */\nexport function FpSqrtOdd(Fp, elm) {\n    validateField(Fp);\n    const F = Fp;\n    if (!F.isOdd)\n        throw new Error(\"Field doesn't have isOdd\");\n    const root = F.sqrt(elm);\n    return F.isOdd(root) ? root : F.neg(root);\n}\n/**\n * @param Fp - Field implementation.\n * @param elm - Value to square-root.\n * @returns Even square root.\n * @throws If the field lacks oddness checks or the square root does not exist. {@link Error}\n * @example\n * Select the even square root when two roots exist.\n *\n * ```ts\n * import { Field, FpSqrtEven } from '@noble/curves/abstract/modular.js';\n * const Fp = Field(17n);\n * const root = FpSqrtEven(Fp, 4n);\n * ```\n */\nexport function FpSqrtEven(Fp, elm) {\n    validateField(Fp);\n    const F = Fp;\n    if (!F.isOdd)\n        throw new Error(\"Field doesn't have isOdd\");\n    const root = F.sqrt(elm);\n    return F.isOdd(root) ? F.neg(root) : root;\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. Callers are expected to pass an\n *   order greater than 1.\n * @returns byte length of field\n * @throws If the field order is not a bigint. {@link Error}\n * @example\n * Read the fixed-width byte length of one field.\n *\n * ```ts\n * getFieldBytesLength(255n);\n * ```\n */\nexport function getFieldBytesLength(fieldOrder) {\n    if (typeof fieldOrder !== 'bigint')\n        throw new Error('field order must be bigint');\n    // Valid field elements are in 0..ORDER-1, so ORDER <= 1 would make the encoded range degenerate.\n    if (fieldOrder <= _1n)\n        throw new Error('field order must be greater than 1');\n    // Valid field elements are < ORDER, so the maximal encoded element is ORDER - 1.\n    const bitLength = bitLen(fieldOrder - _1n);\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 * This is the reduction / modulo-bias lower bound; higher-level helpers may still impose a larger\n * absolute floor for policy reasons.\n * @param fieldOrder - number of field elements greater than 1, usually CURVE.n.\n * @returns byte length of target hash\n * @throws If the field order is invalid. {@link Error}\n * @example\n * Compute the minimum hash length needed for field reduction.\n *\n * ```ts\n * getMinHashLength(255n);\n * ```\n */\nexport 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. The implementation also keeps a hard\n * 16-byte minimum even when `getMinHashLength(...)` is smaller, so toy-small inputs do not look\n * accidentally acceptable for real scalar derivation.\n * See {@link https://research.kudelskisecurity.com/2020/07/28/the-definitive-guide-to-modulo-bias-and-how-to-avoid-it/ | Kudelski's modulo-bias guide},\n * {@link https://csrc.nist.gov/publications/detail/fips/186/5/final | FIPS 186-5 appendix A.2}, and\n * {@link https://www.rfc-editor.org/rfc/rfc9380#section-5 | RFC 9380 section 5}. Unlike RFC 9380\n * `hash_to_field`, this helper intentionally maps into the non-zero private-scalar range `1..n-1`.\n * @param key - Uniform input bytes.\n * @param fieldOrder - Size of subgroup.\n * @param isLE - interpret hash bytes as LE num\n * @returns valid private scalar\n * @throws If the hash length or field order is invalid for scalar reduction. {@link Error}\n * @example\n * Map hash output into a private scalar range.\n *\n * ```ts\n * mapHashToField(new Uint8Array(48).fill(1), 255n);\n * ```\n */\nexport function mapHashToField(key, fieldOrder, isLE = false) {\n    abytes(key);\n    const len = key.length;\n    const fieldLen = getFieldBytesLength(fieldOrder);\n    const minLen = Math.max(getMinHashLength(fieldOrder), 16);\n    // No toy-small inputs: the helper is for real scalar derivation, not tiny test curves. No huge\n    // inputs: easier to reason about JS timing / allocation behavior.\n    if (len < minLen || len > 1024)\n        throw new Error('expected ' + minLen + '-1024 bytes of input, got ' + len);\n    const num = isLE ? bytesToNumberLE(key) : bytesToNumberBE(key);\n    // Map into the non-zero scalar range [1, fieldOrder-1]: reduce mod (fieldOrder-1) to land in\n    // [0, fieldOrder-2], then add 1. This shifts the range off zero; it is NOT equal to\n    // `mod(num, fieldOrder)` (which spans [0, fieldOrder-1] and can be 0). A residual modulo bias\n    // remains but is negligible (~2^-(nBits/2), e.g. ~2^-128 for a 256-bit order) because `key` is\n    // required to be at least `getMinHashLength(fieldOrder)` (~1.5x field size) bytes of input.\n    const reduced = mod(num, fieldOrder - _1n) + _1n;\n    return isLE ? numberToBytesLE(reduced, fieldLen) : numberToBytesBE(reduced, fieldLen);\n}\n","/**\n * Methods for elliptic curve multiplication by scalars.\n * Contains wNAF-based ScalarMultiplier, pippenger.\n * @module\n */\n/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */\nimport { aarray, abool, afunction, aobject, bitLen, bitMask, bytesToNumberBE, inRange, isBytes, isPosBig, validateObject, } from \"../utils.js\";\nimport { Field, FpInvertBatch, validateField } from \"./modular.js\";\nconst _0n = /* @__PURE__ */ BigInt(0);\nconst _1n = /* @__PURE__ */ BigInt(1);\nconst _4n = /* @__PURE__ */ BigInt(4);\nconst BLIND_BYTES = 16;\nconst BLIND_BITS = 128;\n// Fixed-window width for the constant-time multiply of un-precomputed points (W===1).\n// A flat 2^FW_WINDOW table has a small, scalar-independent build cost that amortizes over a single\n// multiply, unlike the larger per-point wNAF tables that only pay off when cached.\nconst FW_WINDOW = 5;\n// Precompute tables are capped at ~2 GiB of estimated heap. Rejecting larger windows up front\n// turns a typo'd window size into an immediate error instead of a multi-GB allocation (or an\n// effective hang) when the lazy table is built on first multiply.\nconst TABLE_BYTES_MAX = /* @__PURE__ */ (() => 2 ** 31)();\n/**\n * Validates the static surface of a point constructor.\n * This is only a cheap sanity check for the constructor hooks and fields consumed by generic\n * factories; it does not certify `BASE`/`ZERO` semantics or prove the curve implementation itself.\n * @param Point - Runtime point constructor.\n * @throws On missing constructor hooks or malformed field metadata. {@link TypeError}\n * @example\n * Check that one point constructor exposes the static hooks generic helpers need.\n *\n * ```ts\n * import { ed25519 } from '@noble/curves/ed25519.js';\n * import { validatePointCons } from '@noble/curves/abstract/curve.js';\n * validatePointCons(ed25519.Point);\n * ```\n */\nexport function validatePointCons(Point) {\n    const pc = Point;\n    if (typeof pc !== 'function')\n        throw new TypeError('\"Point\" expected constructor, got type=' + typeof Point);\n    afunction(pc.fromAffine, 'Point.fromAffine');\n    afunction(pc.fromBytes, 'Point.fromBytes');\n    afunction(pc.fromHex, 'Point.fromHex');\n    // Generic helpers (ScalarMultiplier, normalizeZ, MSM) dereference BASE / ZERO:\n    // fail here with a typed error instead of an `undefined` access later.\n    aobject(pc.BASE, 'Point.BASE');\n    aobject(pc.ZERO, 'Point.ZERO');\n    validateField(pc.Fp);\n    validateField(pc.Fn);\n}\n/**\n * Takes a bunch of Projective Points but executes only one\n * inversion on all of them. Inversion is very slow operation,\n * so this improves performance massively.\n * Optimization: converts a list of projective points to a list of identical points with Z=1.\n * Input points are left unchanged; the normalized points are returned as fresh instances.\n * @param c - Point constructor.\n * @param points - Projective points.\n * @returns Fresh projective points reconstructed from normalized affine coordinates.\n * @example\n * Batch-normalize projective points with a single shared inversion.\n *\n * ```ts\n * import { normalizeZ } from '@noble/curves/abstract/curve.js';\n * import { p256 } from '@noble/curves/nist.js';\n * const points = normalizeZ(p256.Point, [p256.Point.BASE, p256.Point.BASE.double()]);\n * ```\n */\nexport function normalizeZ(c, points) {\n    // Match MSM helpers: reject malformed public inputs before reading projective internals.\n    validatePointCons(c);\n    validateMSMPoints(points, c);\n    // Identity points (Z=0) rely on an implicit contract: FpInvertBatch without `passZero`\n    // yields `undefined` for zero inputs, and `toAffine(undefined)` falls back to its internal\n    // is0 handling instead of using the batch inverse.\n    const invertedZs = FpInvertBatch(c.Fp, points.map((p) => p.Z));\n    return points.map((p, i) => c.fromAffine(p.toAffine(invertedZs[i])));\n}\nfunction validateW(W, bits, min = 1) {\n    if (!Number.isSafeInteger(W) || W < min || W > bits)\n        throw new Error('invalid window size, expected [' + min + '..' + bits + '], got W=' + W);\n}\n// Rough per-point heap estimate for the {@link TABLE_BYTES_MAX} cap: up to 4 projective/extended\n// coordinates of Fp.BYTES each, plus bigint/object overhead. Callers pass the point count of the\n// largest table the checked parameters can produce.\nfunction validateTableBytes(numPoints, fpBytes) {\n    const bytes = numPoints * (4 * fpBytes + 128);\n    if (bytes > TABLE_BYTES_MAX)\n        throw new Error('invalid window size: table would need ~' +\n            Math.ceil(bytes / 2 ** 20) +\n            ' MiB, max ' +\n            TABLE_BYTES_MAX / 2 ** 20 +\n            ' MiB');\n}\n/**\n * Probes an RNG once, at construction time: returns `undefined` when it is unavailable —\n * throws or returns malformed bytes — so callers can downgrade to their unblinded /\n * deterministic constant-time fallback. Blinding is defense-in-depth (DPA/template\n * hardening), not a correctness or key-secrecy requirement, so availability-based\n * downgrade is acceptable.\n *\n * The downgrade decision is deliberately static. After a successful probe the RNG becomes\n * part of the trusted contract: later misbehavior must fail closed in per-call validation\n * (throw), never downgrade — a dynamic fallback would let a tampered RNG silently strip\n * blinding on demand. A probe can only ever classify broken environments, not adversarial\n * RNGs: a stateful RNG can always behave while probed and misbehave later.\n * @param randomBytes - RNG to probe, or `undefined` when the environment provides none.\n * @param length - Byte length requested from the probe call.\n * @returns The RNG when the probe produced `length` valid bytes; `undefined` otherwise.\n * @example\n * Probe an RNG once before enabling scalar blinding.\n *\n * ```ts\n * import { probeRandomBytes } from '@noble/curves/abstract/curve.js';\n * import { randomBytes } from '@noble/hashes/utils.js';\n * const rng = probeRandomBytes(randomBytes, 16);\n * ```\n */\nexport function probeRandomBytes(randomBytes, length) {\n    if (randomBytes === undefined)\n        return undefined;\n    afunction(randomBytes, 'randomBytes');\n    try {\n        const probe = randomBytes(length);\n        if (!isBytes(probe) || probe.length !== length)\n            return undefined;\n    }\n    catch {\n        return undefined;\n    }\n    return randomBytes;\n}\nfunction validateMSMPoints(points, c) {\n    aarray(points, 'points');\n    points.forEach((p, i) => {\n        if (!(p instanceof c))\n            throw new Error('invalid point at index ' + i);\n    });\n}\n// Default bound is field membership (0 <= s < field.ORDER); a `maxScalar` override widens it\n// to 0 <= s < maxScalar for callers that accept oversized scalars.\nfunction validateMSMScalars(scalars, field, maxScalar) {\n    if (!Array.isArray(scalars))\n        throw new Error('array of scalars expected');\n    scalars.forEach((s, i) => {\n        const ok = maxScalar === undefined ? field.isValid(s) : isPosBig(s) && s < maxScalar;\n        if (!ok)\n            throw new Error('invalid scalar at index ' + i);\n    });\n}\nconst pointWindowSizes = new WeakMap();\nfunction getWindowSize(P) {\n    // `1` is the uncached sentinel: use the non-precomputed (wNAF / fixed-window) path.\n    return pointWindowSizes.get(P) || 1;\n}\n/** Table of odd multiples [1P, 3P, ..., (2⋅size−1)P]; width-W wNAF uses size = 2^(W−2). */\nfunction oddMultiples(p, size) {\n    const dbl = p.double();\n    const t = [p];\n    for (let j = 1; j < size; j++)\n        t.push(t[j - 1].add(dbl));\n    return t;\n}\n/**\n * Width-W wNAF signed-digit recoding (W >= 2), LSB-first: digits are 0 or odd with\n * |digit| < 2^(W−1); nonzero density ~1/(W+1) (a nonzero digit is followed by W−1 zeros).\n */\nfunction wnafDigits(n, W) {\n    const size = 2 ** W;\n    const half = size / 2;\n    const mask = BigInt(size - 1);\n    const d = [];\n    while (n > _0n) {\n        let w = 0;\n        if (n & _1n) {\n            w = Number(n & mask); // n mod 2^W, odd\n            if (w >= half)\n                w -= size; // signed residue\n            n -= BigInt(w); // n - w ≡ 0 mod 2^W: next W−1 digits are zero\n        }\n        d.push(w);\n        n >>= _1n;\n    }\n    return d;\n}\n/**\n * Fixed-position signed-window recoding for precomputed wNAF: `n = Σ digits[w]⋅2^(w⋅W)` with\n * digits in `[−2^(W−1)+1, 2^(W−1)]`. Digit count is fixed by `windows` (callers reserve one\n * extra window for the final carry), so recoding length does not depend on the scalar.\n */\nfunction signedWindowDigits(n, W, windows) {\n    const size = 2 ** W;\n    const half = size / 2;\n    const mask = BigInt(size - 1);\n    const shiftBy = BigInt(W);\n    const d = [];\n    for (let w = 0; w < windows; w++) {\n        let v = Number(n & mask);\n        n >>= shiftBy;\n        if (v > half) {\n            v -= size; // negative digit, carry into the next window\n            n += _1n;\n        }\n        d.push(v);\n    }\n    // Internal invariant: leftover bits mean the window count did not cover the scalar.\n    if (n !== _0n)\n        throw new Error('invalid wnaf');\n    return d;\n}\n/**\n * Shared vartime walk over per-scalar wNAF digit streams: one doubling of a single shared\n * accumulator per bit position of the longest recoding, one signed table addition per\n * nonzero digit. `tables[i]` must hold the odd multiples of the i-th point.\n */\nfunction wnafWalk(zero, tables, digits) {\n    let max = 0;\n    for (const d of digits)\n        max = Math.max(max, d.length);\n    let acc = zero;\n    for (let bit = max - 1; bit >= 0; bit--) {\n        if (bit !== max - 1)\n            acc = acc.double();\n        for (let i = 0; i < digits.length; i++) {\n            const w = digits[i][bit]; // reads past shorter recodings yield undefined, skipped below\n            if (w) {\n                const item = tables[i][(Math.abs(w) - 1) >> 1];\n                acc = acc.add(w < 0 ? item.negate() : item);\n            }\n        }\n    }\n    return acc;\n}\n/**\n * Elliptic curve multiplication of Point by scalar.\n * Routes between cached-table, fixed-window, and one-shot wNAF paths; entry points validate\n * their own scalars (`mulCT`/`mulCTBlinded`: `1 <= s < Fn.ORDER`; `mulUnsafe`: up to the\n * `Fn.ORDER^4` DoS cap via {@link mulAddUnsafe}).\n * Table generation is expensive and happens on first call of `multiply()`\n * (or eagerly via `precompute(W, false)`). By default, `BASE` point is precomputed.\n *\n * Cached algorithm is signed fixed-window wNAF:\n * - table stores, for every window w, the multiples `[1..2^(W−1)]⋅2^(w⋅W)⋅P` — all doublings\n *   are baked in, so a multiplication is exactly one table addition per window\n * - window count is fixed (`ceil(bits/W) + 1`), so the point-operation count is scalar-independent\n *   (basis of the constant-time path)\n * - for a 256-bit curve and W=6: 44⋅32 = 1408 table points, 44 additions per multiply\n * - secret scalars are additionally blinded (see {@link ScalarMultiplier.mulCTBlinded}), which\n *   widens tables by 128 bits\n * @param Point - Point constructor.\n * @param randomBytes - RNG used for scalar blinding; required by the blinded secret path.\n * @example\n * Elliptic curve multiplication of Point by scalar.\n *\n * ```ts\n * import { ScalarMultiplier } from '@noble/curves/abstract/curve.js';\n * import { p256 } from '@noble/curves/nist.js';\n * const mul = new ScalarMultiplier(p256.Point);\n * ```\n */\nexport class ScalarMultiplier {\n    Point;\n    BASE;\n    ZERO;\n    randomBytes;\n    wnafPrecomputes = new WeakMap();\n    baseCanBeBlinded;\n    bits;\n    // Parametrized with a given Point class (not individual point)\n    constructor(Point, randomBytes) {\n        validatePointCons(Point);\n        // Probe the RNG once (see {@link probeRandomBytes}): in environments without working\n        // randomness (e.g. no WebCrypto), shouldBlind() then routes secret multiplication to the\n        // unblinded constant-time path instead of throwing on every multiply(). The shape of\n        // returned bytes is still validated on every blinded call, where breakage fails closed.\n        this.randomBytes = probeRandomBytes(randomBytes, BLIND_BYTES);\n        this.Point = Point;\n        this.BASE = Point.BASE;\n        this.ZERO = Point.ZERO;\n        this.bits = Point.Fn.BITS;\n    }\n    /**\n     * Creates a signed fixed-window wNAF precomputation table: for every window w, the\n     * multiples `[1..2^(W−1)]⋅2^(w⋅W)⋅P`, flattened. All doublings are baked into the table,\n     * so cached multiplication is additions-only. `windows = ceil(bits/W) + 1`: the extra\n     * window absorbs the final carry of signed-digit recoding.\n     * For a 256-bit curve and W=6, the table is 44⋅32 = 1408 points.\n     * @param point - Point instance\n     * @param W - window size\n     * @param bits - scalar bitlength the table must cover\n     */\n    buildWnafTable(point, W, bits) {\n        // W needs no re-validation: its only source is setWindowSize(), which enforces\n        // 1 <= W <= Fn.BITS <= bits (the blinded path only ever widens bits) and caps the\n        // resulting table at ~2 GiB (sized against the wider blinded layout).\n        const windows = Math.ceil(bits / W) + 1;\n        const half = 2 ** (W - 1);\n        const comp = [];\n        let base = point;\n        for (let w = 0; w < windows; w++) {\n            let acc = base;\n            for (let i = 0; i < half; i++) {\n                comp.push(acc);\n                acc = acc.add(base);\n            }\n            base = comp[comp.length - 1].double(); // 2⋅(2^(W−1)⋅base) = next window's base\n        }\n        return { W, bits, windows, comp };\n    }\n    /**\n     * Implements ec multiplication using precomputed signed fixed-window wNAF tables.\n     * Constant-time: fixed window count with one table addition per window — zero digits feed\n     * the fake accumulator — and no doublings; the lookup scans the whole window slice.\n     * Scalar bounds are validated by the public entry points ({@link ScalarMultiplier.mulCT},\n     * {@link ScalarMultiplier.mulCTBlinded}, {@link ScalarMultiplier.mulUnsafe});\n     * signedWindowDigits throws if `n` exceeds the table.\n     * @returns real and fake (for const-time) points\n     */\n    wnafCachedCT(precomputes, n) {\n        const { W, windows, comp } = precomputes;\n        const half = 2 ** (W - 1);\n        const digits = signedWindowDigits(n, W, windows);\n        let p = this.ZERO;\n        let f = this.BASE;\n        for (let w = 0; w < windows; w++) {\n            const digit = digits[w];\n            const start = w * half;\n            // Data-oblivious select: touch every entry of the window before the digit branch.\n            const idx = Math.abs(digit) - 1; // -1 for zero digits: matches nothing, `sel` unused\n            let sel = comp[start];\n            for (let i = 1; i < half; i++)\n                sel = i === idx ? comp[start + i] : sel;\n            const neg = sel.negate(); // compute both signs; the digit only picks one\n            if (digit === 0)\n                f = f.add(comp[start]);\n            else\n                p = p.add(digit < 0 ? neg : sel);\n        }\n        return { p, f };\n    }\n    // Cache key is point identity plus (W, bits); at most two entries exist per point (public-width\n    // `Fn.BITS` and blinded `Fn.BITS + BLIND_BITS`). Callers must not reuse the same point with\n    // incompatible `transform(...)` layouts and expect a separate cache entry.\n    getWnafPrecomputes(W, point, bits, transform) {\n        let entries = this.wnafPrecomputes.get(point);\n        let comp = entries?.find((entry) => entry.W === W && entry.bits === bits);\n        if (!comp) {\n            comp = this.buildWnafTable(point, W, bits);\n            if (typeof transform === 'function')\n                comp = { ...comp, comp: transform(comp.comp) };\n            if (!entries) {\n                entries = [];\n                this.wnafPrecomputes.set(point, entries);\n            }\n            entries.push(comp);\n        }\n        return comp;\n    }\n    assertPoint(point) {\n        if (!(point instanceof this.Point))\n            throw new TypeError('\"point\" expected Point instance, got type=' + typeof point);\n    }\n    // Shared prologue of the constant-time entry points. Rejects scalar 0: in key/signature-style\n    // callers a zero scalar means broken upstream plumbing, and concrete Points already reject it.\n    // Uses inRange instead of Fn.isValidNot0: validateField() only certifies the arithmetic subset.\n    validateMulInput(point, scalar) {\n        this.assertPoint(point);\n        if (!inRange(scalar, _1n, this.Point.Fn.ORDER))\n            throw new Error('invalid scalar');\n    }\n    // Constant-time dispatch shared by mulCT / mulCTBlinded. Un-precomputed points (W===1, e.g.\n    // ECDH peer keys) skip building a throwaway cached table in favor of a small fixed-window\n    // multiply. `n` must be < 2^bits.\n    runCT(point, n, bits, transform) {\n        const W = getWindowSize(point);\n        if (W === 1)\n            return this.fixedWindowCT(point, n, bits);\n        return this.wnafCachedCT(this.getWnafPrecomputes(W, point, bits, transform), n);\n    }\n    mulCT(point, scalar, transform) {\n        this.validateMulInput(point, scalar);\n        return this.runCT(point, scalar, this.bits, transform);\n    }\n    mulCTBlinded(point, scalar, transform) {\n        this.validateMulInput(point, scalar);\n        // Blinding computes n = scalar + blind*Fn.ORDER, then n*P via a constant-time multiply. This\n        // equals scalar*P only when Fn.ORDER*P == O; callers guarantee that via shouldBlind() (always\n        // for cofactor-1 curves; for cofactored curves only BASE, and only after checking BASE*n == O).\n        // Fail before building the (large) precompute table if randomness is unavailable.\n        if (this.randomBytes === undefined)\n            throw new Error('randomBytes is required for scalar blinding');\n        const bits = this.Point.Fn.BITS + BLIND_BITS;\n        const blind = this.randomBytes(BLIND_BYTES);\n        if (!isBytes(blind) || blind.length !== BLIND_BYTES)\n            throw new Error('randomBytes returned invalid byte array');\n        // Force the top two bits of the 128-bit blind to 10xxxxxx, so blind is in [2^127, 1.5*2^127):\n        // * `| 0x80` (bit 127 = 1) is the load-bearing part: it guarantees blind >= 2^127, so the blind\n        //   is always a full-width, nonzero factor and the scalar is masked even with a degenerate RNG.\n        // * `& 0x3f` (bit 126 = 0) is a safety margin: it caps blind < 1.5*2^127, keeping\n        //   blind*Fn.ORDER + scalar < 0.75*2^(nBits+128), i.e. ~half a window below the 2^(nBits+128)\n        //   ceiling. Not strictly required for the bound (see below), but it reserves headroom so the\n        //   guarantee does not rest on the tight `Fn.ORDER < 2^Fn.BITS` fact and the final carry window\n        //   only ever holds a small carry, never a full digit.\n        blind[0] = (blind[0] & 0x3f) | 0x80;\n        // Even at the extreme (blind < 2^128, scalar < Fn.ORDER < 2^nBits): n <= 2^128*Fn.ORDER - 1 <\n        // 2^(nBits+128), so n stays below 2^bits and within the blinded table's\n        // window count. Both cached CT kernels run a fixed number of windows/rows with one point-add\n        // each, so the add count is independent of scalar (constant-time).\n        const n = scalar + bytesToNumberBE(blind) * this.Point.Fn.ORDER;\n        return this.runCT(point, n, bits, transform);\n    }\n    /**\n     * Constant-time multiplication `n*point` for an un-precomputed point, via a small fixed window.\n     * A cached wNAF table only pays off when reused; a flat 2^FW_WINDOW table (`size-1` adds) is\n     * far cheaper to build for a single use. The point-operation sequence is independent of `n`:\n     * build the table, then per window exactly FW_WINDOW doublings, a data-oblivious scan over\n     * every table entry, and one addition (adds the identity when the window digit is 0 — never\n     * skipped).\n     *\n     * `n` must be `< 2^bits`. Assumes complete addition (adding the identity costs the same as any\n     * add), which holds for the Weierstrass/Edwards point types used here. The table is left in\n     * projective form (no normalizeZ): normalizing this small a table costs more than the\n     * mixed-add savings it would buy for a single multiply.\n     * @returns real point `p`; `f` duplicates it only to match {@link wnafCachedCT}'s return shape\n     * (this path needs no fake accumulator — its op-count is already scalar-independent).\n     */\n    fixedWindowCT(point, n, bits) {\n        const W = FW_WINDOW;\n        const size = 1 << W;\n        const mask = bitMask(W);\n        // Flat table [O, point, 2*point, ..., (size-1)*point].\n        const table = new Array(size);\n        table[0] = this.ZERO;\n        for (let i = 1; i < size; i++)\n            table[i] = table[i - 1].add(point);\n        // Horner MSB->LSB. windows*W >= bits and n < 2^bits, so every bit of n is consumed.\n        const windows = Math.ceil(bits / W);\n        let acc = this.ZERO;\n        for (let window = windows - 1; window >= 0; window--) {\n            // W doublings per window; skipped for the first (topmost) window, where acc is still the\n            // identity. The skip is scalar-independent: it depends only on the loop index.\n            if (window !== windows - 1)\n                for (let d = 0; d < W; d++)\n                    acc = acc.double();\n            const digit = Number((n >> BigInt(window * W)) & mask);\n            // Data-oblivious select: touch every entry, same as wnafCachedCT.\n            let sel = table[0];\n            for (let i = 1; i < size; i++)\n                sel = i === digit ? table[i] : sel;\n            acc = acc.add(sel); // one add per window, even for digit 0\n        }\n        return { p: acc, f: acc };\n    }\n    shouldBlind(point, cofactor) {\n        // No usable RNG (probed in the constructor): blinding is impossible, use the plain CT path.\n        if (this.randomBytes === undefined)\n            return false;\n        if (cofactor === _1n)\n            return true;\n        if (point !== this.BASE)\n            return false;\n        if (this.baseCanBeBlinded === undefined)\n            this.baseCanBeBlinded = this.mulUnsafe(this.BASE, this.Point.Fn.ORDER).is0();\n        return this.baseCanBeBlinded;\n    }\n    mulSecret(point, scalar, cofactor, transform) {\n        return this.shouldBlind(point, cofactor)\n            ? this.mulCTBlinded(point, scalar, transform)\n            : this.mulCT(point, scalar, transform);\n    }\n    mulUnsafe(point, scalar, transform) {\n        this.assertPoint(point);\n        if (!isPosBig(scalar))\n            throw new Error('invalid scalar');\n        const W = getWindowSize(point);\n        // W === 1 (un-precomputed): one-shot width-4 wNAF via {@link mulAddUnsafe} with L=1 —\n        // a cached table would be thrown away after one use. `allowOversized` swaps the\n        // `s < Fn.ORDER` check for mulAddUnsafe's `Fn.ORDER^4` DoS cap.\n        //\n        // Oversized scalar could happen when:\n        // a) user passes large scalar on their own (rare)\n        // b) `assertValidity()` calls `isTorsionFree()`, which multiplies point by `Fn.ORDER`\n        if (W === 1 || scalar >= this.Point.Fn.ORDER)\n            return mulAddUnsafe(this.Point, [point], [scalar], true);\n        // Precomputed points reuse the CT kernel (fake accumulator discarded): with W=6 only\n        // ~1/64 of window-adds are skippable, so a dedicated vartime kernel saved just ~6% on\n        // this path while doubling the cached-table code surface.\n        const precomputes = this.getWnafPrecomputes(W, point, this.bits, transform);\n        return this.wnafCachedCT(precomputes, scalar).p;\n    }\n    // Remembers the window size used for precomputed wNAF multiplication of the given point\n    // and drops any previously built tables. Usually only the base point is precomputed.\n    // W=1 resets the point to the un-precomputed (table-less) paths.\n    // W is additionally capped so tables stay under ~2 GiB ({@link TABLE_BYTES_MAX}).\n    setWindowSize(point, W) {\n        this.assertPoint(point);\n        validateW(W, this.bits);\n        // Size against the widest table this W can produce: the blinded path adds BLIND_BITS.\n        const windows = Math.ceil((this.bits + BLIND_BITS) / W) + 1;\n        validateTableBytes(windows * 2 ** (W - 1), this.Point.Fp.BYTES);\n        pointWindowSizes.set(point, W);\n        this.wnafPrecomputes.delete(point);\n    }\n    // True when a window size is set: tables themselves are built lazily on first multiply.\n    hasWindowSize(point) {\n        return getWindowSize(point) !== 1;\n    }\n}\n/**\n * Combined multi-scalar multiplication `Σ scalars[i]⋅points[i]` via interleaved width-4 wNAF\n * (Strauss–Shamir). Every input gets its own table of odd multiples `[1P, 3P, 5P, 7P]` and\n * signed-digit recoding, but all walks share one doubling chain, so total cost is\n * `~bits` doublings + `L⋅bits/5` additions instead of `L⋅bits` doublings for separate\n * multiplications. Intended for the 2-4 point shapes of signature verification\n * (`R = u1⋅G + u2⋅P`); use {@link pippenger} for larger batches.\n *\n * Not constant-time: only for public inputs. Scalars must satisfy `0 <= s < Fn.ORDER`;\n * fold negative signs into the points before calling.\n * @param c - Point constructor.\n * @param points - Array of curve points.\n * @param scalars - Array of non-negative scalars, same length as points.\n * @param allowOversized - Replace the `s < Fn.ORDER` scalar check with a `Fn.ORDER^4` DoS cap.\n *   Off by default. For scalars that must NOT be reduced mod ORDER: torsion checks\n *   (`Fn.ORDER⋅P ≟ O`) and cofactor-clearing multiples. Walk length grows with `bitLen(s)`.\n * @returns Combined multiplication result; identity for empty input.\n * @throws If the point set or scalar set is invalid. {@link Error}\n * @example\n * Combined multi-scalar multiplication via Strauss–Shamir.\n *\n * ```ts\n * import { mulAddUnsafe } from '@noble/curves/abstract/curve.js';\n * import { p256 } from '@noble/curves/nist.js';\n * const G = p256.Point.BASE;\n * const R = mulAddUnsafe(p256.Point, [G, G.double()], [2n, 3n]); // 2⋅G + 3⋅(2⋅G)\n * ```\n */\nexport function mulAddUnsafe(c, points, scalars, allowOversized = false) {\n    validatePointCons(c);\n    validateMSMPoints(points, c);\n    abool(allowOversized, 'allowOversized');\n    // Oversized cap is ORDER^4: hard bound to mitigate DoS, walk length grows with bitLen(s).\n    validateMSMScalars(scalars, c.Fn, allowOversized ? c.Fn.ORDER ** _4n : undefined);\n    if (points.length !== scalars.length)\n        throw new Error('arrays of points and scalars must have equal length');\n    const tables = points.map((p) => oddMultiples(p, 4));\n    const digits = scalars.map((n) => wnafDigits(n, 4));\n    return wnafWalk(c.ZERO, tables, digits);\n}\n/**\n * Pippenger algorithm for multi-scalar multiplication (MSM, Pa + Qb + Rc + ...).\n * 30x faster vs naive addition on L=4096, 10x faster than precomputes.\n * For N=254bit, L=1, it does: 1024 ADD + 254 DBL. For L=5: 1536 ADD + 254 DBL.\n * Point-operation count is scalar-independent (for same L), even when 1 point + scalar, or when\n * scalar = 0 — but bucket indices are scalar windows, so the memory-access pattern is\n * scalar-dependent: do not rely on this for secret scalars.\n *\n * A repaired LFG bucket-set variant from ePrint 2024/750 was benchmarked on BLS12-381 G1\n * against this implementation: ~1.4x faster at 2048 points and ~1.1-1.25x faster at\n * 4096-32768 points, at the cost of extra recoding and multiplier-table complexity.\n * @param c - Curve Point constructor\n * @param points - array of L curve points\n * @param scalars - array of L scalars (aka secret keys / bigints)\n * @returns MSM result point. Empty input is accepted and returns the identity.\n * @throws If the point set, scalar set, or MSM sizing is invalid. {@link Error}\n * @example\n * Pippenger algorithm for multi-scalar multiplication (MSM, Pa + Qb + Rc + ...).\n *\n * ```ts\n * import { pippenger } from '@noble/curves/abstract/curve.js';\n * import { p256 } from '@noble/curves/nist.js';\n * const point = pippenger(p256.Point, [p256.Point.BASE, p256.Point.BASE.double()], [2n, 3n]);\n * ```\n */\nexport function pippenger(c, points, scalars) {\n    // 0 is accepted in scalars\n    validatePointCons(c);\n    const fieldN = c.Fn;\n    validateMSMPoints(points, c);\n    validateMSMScalars(scalars, fieldN);\n    const plength = points.length;\n    const slength = scalars.length;\n    if (plength !== slength)\n        throw new Error('arrays of points and scalars must have equal length');\n    const zero = c.ZERO;\n    // Without this, the window loop below would still run ~Fn.BITS doublings of ZERO.\n    if (plength === 0)\n        return zero;\n    const wbits = bitLen(BigInt(plength));\n    let windowSize = 1; // bits\n    if (wbits > 12)\n        windowSize = wbits - 3;\n    else if (wbits > 4)\n        windowSize = wbits - 2;\n    else if (wbits > 0)\n        windowSize = 2;\n    const MASK = bitMask(windowSize);\n    const buckets = new Array(Number(MASK) + 1).fill(zero); // +1 for zero array\n    const lastBits = Math.floor((fieldN.BITS - 1) / windowSize) * windowSize;\n    let sum = zero;\n    for (let i = lastBits; i >= 0; i -= windowSize) {\n        buckets.fill(zero);\n        for (let j = 0; j < slength; j++) {\n            const scalar = scalars[j];\n            const wbits = Number((scalar >> BigInt(i)) & MASK);\n            buckets[wbits] = buckets[wbits].add(points[j]);\n        }\n        let resI = zero; // not using this will do small speed-up, but will lose ct\n        // Skip first bucket, because it is zero\n        for (let j = buckets.length - 1, sumI = zero; j > 0; j--) {\n            sumI = sumI.add(buckets[j]);\n            resI = resI.add(sumI);\n        }\n        sum = sum.add(resI);\n        if (i !== 0)\n            for (let j = 0; j < windowSize; j++)\n                sum = sum.double();\n    }\n    return sum;\n}\n/**\n * Interleaved wNAF multi-scalar multiplication (MSM, Pa + Qb + Rc + ...) over a FIXED set\n * of points: each point gets a one-time table of odd multiples\n * `[1P, 3P, ..., (2^(W−1)−1)P]`, and the returned closure evaluates MSMs against those\n * tables. All scalars share one doubling chain (Straus 1964) — one doubling per scalar bit\n * plus one signed table addition per nonzero width-W wNAF digit (density ~1/(W+1)) — the\n * \"interleaving\" method of Möller, \"Algorithms for multi-exponentiation\" (SAC 2001).\n *\n * Table memory is `L⋅2^(W−2)` points, capped at ~2 GiB. Prefer this over {@link pippenger}\n * when the same points are reused across many MSMs (fixed-base commitments etc.) and up to a\n * few hundred points; prefer pippenger for one-shot MSMs or thousands of points, where\n * bucketing beats per-point tables.\n *\n * Not constant-time (zero digits are skipped): public inputs only.\n * @param c - Curve Point constructor\n * @param points - array of L curve points, captured by the returned closure\n * @param windowSize - window width W in bits, from 2 to Fn.BITS; also capped so the\n *   per-closure tables stay under ~2 GiB\n * @returns Function which multiplies points with scalars. The closure accepts at most\n *   `points.length` scalars, and omitted trailing scalars are treated as zero.\n * @throws If the point set or precompute window is invalid. {@link Error}\n * @example\n * Interleaved wNAF multi-scalar multiplication (MSM, Pa + Qb + Rc + ...).\n *\n * ```ts\n * import { interleavedMSMUnsafe } from '@noble/curves/abstract/curve.js';\n * import { p256 } from '@noble/curves/nist.js';\n * const msm = interleavedMSMUnsafe(p256.Point, [p256.Point.BASE], 4);\n * const point = msm([3n]);\n * ```\n */\nexport function interleavedMSMUnsafe(c, points, windowSize) {\n    validatePointCons(c);\n    const fieldN = c.Fn;\n    // Signed odd digits need at least width 2 (W=2 is plain NAF with a single-entry table).\n    validateW(windowSize, fieldN.BITS, 2);\n    validateMSMPoints(points, c);\n    validateTableBytes(points.length * 2 ** (windowSize - 2), c.Fp.BYTES);\n    const tables = points.map((p) => oddMultiples(p, 2 ** (windowSize - 2)));\n    return (scalars) => {\n        validateMSMScalars(scalars, fieldN);\n        if (scalars.length > points.length)\n            throw new Error('array of scalars must not be larger than array of points');\n        return wnafWalk(c.ZERO, tables, scalars.map((n) => wnafDigits(n, windowSize)));\n    };\n}\nfunction createField(order, field, isLE) {\n    if (field) {\n        // Reuse supplied field overrides as-is; `isLE` only affects freshly constructed fallback\n        // fields, and validateField() below only checks the arithmetic subset, not full byte/cmov\n        // behavior.\n        if (field.ORDER !== order)\n            throw new Error('Field.ORDER must match order: Fp == p, Fn == n');\n        validateField(field);\n        return field;\n    }\n    else {\n        return Field(order, { isLE });\n    }\n}\n/**\n * Validates basic CURVE shape and field membership, then creates fields.\n * This does not prove that the generator is on-curve, that subgroup/order data are consistent, or\n * that the curve equation itself is otherwise sane.\n * @param type - Curve family.\n * @param CURVE - Curve parameters.\n * @param curveOpts - Optional field overrides. See {@link FpFn}:\n *   - `Fp` (optional): Optional base-field override.\n *   - `Fn` (optional): Optional scalar-field override.\n * @param FpFnLE - Whether field encoding is little-endian.\n * @returns Frozen curve parameters and fields.\n * @throws If the curve parameters or field overrides are invalid. {@link Error}\n * @example\n * Build curve fields from raw constants before constructing a curve instance.\n *\n * ```ts\n * const curve = createCurveFields('weierstrass', {\n *   p: 17n,\n *   n: 19n,\n *   h: 1n,\n *   a: 2n,\n *   b: 2n,\n *   Gx: 5n,\n *   Gy: 1n,\n * });\n * ```\n */\nexport function createCurveFields(type, CURVE, curveOpts = {}, FpFnLE) {\n    if (type !== 'weierstrass' && type !== 'edwards')\n        throw new Error('expected curve type \"weierstrass\" or \"edwards\"');\n    if (FpFnLE === undefined)\n        FpFnLE = type === 'edwards';\n    if (!CURVE || typeof CURVE !== 'object')\n        throw new Error(`expected valid ${type} CURVE object`);\n    // Validate before reading Fp/Fn so explicit null fails with an options-object error.\n    validateObject(curveOpts);\n    for (const p of ['p', 'n', 'h']) {\n        const val = CURVE[p];\n        if (!(isPosBig(val) && val !== _0n))\n            throw new Error(`CURVE.${p} must be positive bigint`);\n    }\n    const Fp = createField(CURVE.p, curveOpts.Fp, FpFnLE);\n    const Fn = createField(CURVE.n, curveOpts.Fn, FpFnLE);\n    const _b = type === 'weierstrass' ? 'b' : 'd';\n    const params = ['Gx', 'Gy', 'a', _b];\n    for (const p of params) {\n        // @ts-ignore\n        if (!Fp.isValid(CURVE[p]))\n            throw new Error(`CURVE.${p} must be valid field element of CURVE.Fp`);\n    }\n    CURVE = Object.freeze(Object.assign({}, CURVE));\n    return { CURVE, Fp, Fn };\n}\n/**\n * @param randomSecretKey - Secret-key generator.\n * @param getPublicKey - Public-key derivation helper.\n * @returns Keypair generator.\n * @example\n * Build a `keygen()` helper from existing secret-key and public-key primitives.\n *\n * ```ts\n * import { createKeygen } from '@noble/curves/abstract/curve.js';\n * import { p256 } from '@noble/curves/nist.js';\n * const keygen = createKeygen(p256.utils.randomSecretKey, p256.getPublicKey);\n * const pair = keygen();\n * ```\n */\nexport function createKeygen(randomSecretKey, getPublicKey) {\n    return function keygen(seed) {\n        const secretKey = randomSecretKey(seed);\n        return { secretKey, publicKey: getPublicKey(secretKey) };\n    };\n}\n","/**\n * ASN.1 DER (Distinguished Encoding Rules) helpers for ECDSA signatures.\n * Only implements the tiny subset needed for `SEQUENCE(INTEGER r, INTEGER s)`.\n * @module\n */\n/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */\nimport { abignumber, abytes, asafenumber, astring, bytesToNumberBE, numberToHexUnpadded, validateObject, } from \"../utils.js\";\nconst _0n = /* @__PURE__ */ BigInt(0);\n/**\n * @param m - Error message.\n * @example\n * Throw a DER-specific error when signature parsing encounters invalid bytes.\n *\n * ```ts\n * new DERErr('bad der');\n * ```\n */\nexport class DERErr extends Error {\n    constructor(m = '') {\n        super(m);\n    }\n}\n// Plain const so the freezes can live inside the pure initializer of the `DER` export below:\n// bare top-level `Object.freeze(...)` calls would defeat tree-shaking for every importer.\nconst _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 { Err: E } = _DER;\n            asafenumber(tag, 'tag');\n            if (tag < 0 || tag > 255)\n                throw new E('tlv.encode: wrong tag');\n            astring(data, 'data');\n            // Internal helper: callers hand this already-validated hex payload, so we only enforce\n            // byte alignment here instead of re-validating every nibble.\n            if (data.length & 1)\n                throw new E('tlv.encode: unpadded data');\n            const dataLen = data.length / 2;\n            const len = numberToHexUnpadded(dataLen);\n            if ((len.length / 2) & 0b1000_0000)\n                throw new E('tlv.encode: long form length too big');\n            // length of length with long form flag\n            const lenLen = dataLen > 127 ? numberToHexUnpadded((len.length / 2) | 0b1000_0000) : '';\n            const t = numberToHexUnpadded(tag);\n            return t + lenLen + len + data;\n        },\n        // v - value, l - left bytes (unparsed)\n        decode(tag, data) {\n            const { Err: E } = _DER;\n            data = abytes(data, undefined, 'DER data');\n            let pos = 0;\n            if (tag < 0 || tag > 255)\n                throw new E('tlv.decode: wrong tag');\n            if (data.length < 2 || data[pos++] !== tag)\n                throw new E('tlv.decode: wrong tlv');\n            const first = data[pos++];\n            // First bit of first length byte is the short/long form flag.\n            const isLong = !!(first & 0b1000_0000);\n            let length = 0;\n            if (!isLong)\n                length = first;\n            else {\n                // Long form: [longFlag(1bit), lengthLength(7bit), length (BE)]\n                const lenLen = first & 0b0111_1111;\n                if (!lenLen)\n                    throw new E('tlv.decode(long): indefinite length not supported');\n                // This would overflow u32 in JS.\n                if (lenLen > 4)\n                    throw new E('tlv.decode(long): byte length is too big');\n                const lengthBytes = data.subarray(pos, pos + lenLen);\n                if (lengthBytes.length !== lenLen)\n                    throw new E('tlv.decode: length bytes not complete');\n                if (lengthBytes[0] === 0)\n                    throw new E('tlv.decode(long): zero leftmost byte');\n                for (const b of lengthBytes)\n                    length = (length << 8) | b;\n                pos += lenLen;\n                if (length < 128)\n                    throw new E('tlv.decode(long): not minimal encoding');\n            }\n            const v = data.subarray(pos, pos + length);\n            if (v.length !== length)\n                throw new E('tlv.decode: wrong value length');\n            return { v, l: data.subarray(pos + length) };\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 { Err: E } = _DER;\n            abignumber(num);\n            if (num < _0n)\n                throw new E('integer: negative integers are not allowed');\n            let hex = numberToHexUnpadded(num);\n            // Pad with zero byte if negative flag is present\n            if (Number.parseInt(hex[0], 16) & 0b1000)\n                hex = '00' + hex;\n            if (hex.length & 1)\n                throw new E('unexpected DER parsing assertion: unpadded hex');\n            return hex;\n        },\n        decode(data) {\n            const { Err: E } = _DER;\n            if (data.length < 1)\n                throw new E('invalid signature integer: empty');\n            if (data[0] & 0b1000_0000)\n                throw new E('invalid signature integer: negative');\n            // Single-byte zero `00` is the canonical DER INTEGER encoding for zero.\n            if (data.length > 1 && data[0] === 0x00 && !(data[1] & 0b1000_0000))\n                throw new E('invalid signature integer: unnecessary leading zero');\n            return bytesToNumberBE(data);\n        },\n    },\n    toSig(bytes) {\n        // parse DER signature\n        const { Err: E, _int: int, _tlv: tlv } = _DER;\n        const data = abytes(bytes, undefined, 'signature');\n        const { v: seqBytes, l: seqLeftBytes } = tlv.decode(0x30, data);\n        if (seqLeftBytes.length)\n            throw new E('invalid signature: left bytes after parsing');\n        const { v: rBytes, l: rLeftBytes } = tlv.decode(0x02, seqBytes);\n        const { v: sBytes, l: sLeftBytes } = tlv.decode(0x02, rLeftBytes);\n        if (sLeftBytes.length)\n            throw new E('invalid signature: left bytes after parsing');\n        return { r: int.decode(rBytes), s: int.decode(sBytes) };\n    },\n    hexFromSig(sig) {\n        const { _tlv: tlv, _int: int } = _DER;\n        validateObject(sig, { r: 'bigint', s: 'bigint' }, {}, 'sig');\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/**\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: {@link https://letsencrypt.org/docs/a-warm-welcome-to-asn1-and-der/ | Let's Encrypt ASN.1 guide} and\n * {@link https://luca.ntop.org/Teaching/Appunti/asn1.html | Luca Deri's ASN.1 notes}.\n * @example\n * ASN.1 DER encoding utilities.\n *\n * ```ts\n * const der = DER.hexFromSig({ r: 1n, s: 2n });\n * ```\n */\nexport const DER = /* @__PURE__ */ (() => {\n    Object.freeze(_DER._tlv);\n    Object.freeze(_DER._int);\n    return Object.freeze(_DER);\n})();\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) */\nimport { hmac as nobleHmac } from '@noble/hashes/hmac.js';\nimport { ahash } from '@noble/hashes/utils.js';\nimport { abool, abytes, aInRange, bitLen, bitMask, bytesToHex, bytesToNumberBE, concatBytes, createHmacDrbg, hexToBytes, isBytes, validateObject, randomBytes as wcRandomBytes, } from \"../utils.js\";\nimport { createCurveFields, createKeygen, mulAddUnsafe, normalizeZ, probeRandomBytes, ScalarMultiplier, validatePointCons, } from \"./curve.js\";\nimport { DER } from \"./der.js\";\nimport { getMinHashLength, invertCt, mapHashToField } from \"./modular.js\";\n// DER codec lives in der.ts; re-exported here because ECDSA signatures are its main consumer.\nexport { DER, DERErr } from \"./der.js\";\n// We construct the basis so `den` is always positive and equals `n`,\n// but the `num` sign depends on the basis, not on the secret value.\n// Exact half-way cases round away from zero, which keeps the split symmetric\n// around the reduced-basis boundaries used by endomorphism decomposition.\nconst divNearest = (num, den) => (num + (num >= 0 ? den : -den) / _2n) / den;\n/** Splits scalar for GLV endomorphism. */\nexport 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    // Callers must provide a reduced GLV basis whose vectors satisfy\n    // `a + b * lambda ≡ 0 (mod n)`; this helper only sees the basis and `n`.\n    // Reject unreduced scalars instead of silently treating them mod n.\n    aInRange('scalar', k, _0n, n);\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)\n        k1 = -k1;\n    if (k2neg)\n        k2 = -k2;\n    // Double check that resulting scalar is less than half bits of N: the wNAF pair walk\n    // relies on the halves being short. This should only happen on wrong bases.\n    // Also, the math inside is complex enough that this guard is worth keeping.\n    const MAX_NUM = bitMask(Math.ceil(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 for k');\n    }\n    return { k1neg, k1, k2neg, k2 };\n}\nfunction validateSigFormat(format) {\n    if (!['compact', 'recovered', 'der'].includes(format))\n        throw new Error('Signature format must be \"compact\", \"recovered\", or \"der\"');\n    return format;\n}\nfunction validateSigOpts(opts, def) {\n    validateObject(opts);\n    const optsn = {};\n    // Normalize only the declared option subset from `def`; unknown keys are\n    // intentionally ignored so shared / superset option bags stay valid here too.\n    // `extraEntropy` stays an opaque payload until the signing path consumes it.\n    for (let optName of Object.keys(def)) {\n        // @ts-ignore\n        optsn[optName] = opts[optName] === undefined ? def[optName] : opts[optName];\n    }\n    abool(optsn.lowS, 'lowS');\n    abool(optsn.prehash, 'prehash');\n    if (optsn.format !== undefined)\n        validateSigFormat(optsn.format);\n    return optsn;\n}\n// Be friendly to bad ECMAScript parsers by not using bigint literals\n// prettier-ignore\nconst _0n = /* @__PURE__ */ BigInt(0), _1n = /* @__PURE__ */ BigInt(1), _2n = /* @__PURE__ */ BigInt(2), _3n = /* @__PURE__ */ BigInt(3), _4n = /* @__PURE__ */ BigInt(4);\n/**\n * Creates weierstrass Point constructor, based on specified curve options.\n *\n * See {@link WeierstrassOpts}.\n * @param params - Curve parameters. See {@link WeierstrassOpts}.\n * @param extraOpts - Optional helpers and overrides. See {@link WeierstrassExtraOpts}.\n * @returns Weierstrass point constructor.\n * @throws If the curve parameters, overrides, or point codecs are invalid. {@link Error}\n *\n * @example\n * Construct a point type from explicit Weierstrass curve parameters.\n *\n * ```js\n * const opts = {\n *   p: 0xfffffffffffffffffffffffffffffffeffffac73n,\n *   n: 0x100000000000000000001b8fa16dfab9aca16b6b3n,\n *   h: 1n,\n *   a: 0n,\n *   b: 7n,\n *   Gx: 0x3b4c382ce37aa192a4019e763036f4f5dd4d7ebbn,\n *   Gy: 0x938cf935318fdced6bc28286531733c3f03c4feen,\n * };\n * const secp160k1_Point = weierstrass(opts);\n * ```\n */\nexport function weierstrass(params, extraOpts = {}) {\n    const validated = createCurveFields('weierstrass', params, extraOpts);\n    const Fp = validated.Fp;\n    const Fn = validated.Fn;\n    let CURVE = validated.CURVE;\n    const { h: cofactor, n: CURVE_ORDER } = CURVE;\n    validateObject(extraOpts, {}, {\n        allowInfinityPoint: 'boolean',\n        clearCofactor: 'function',\n        isTorsionFree: 'function',\n        fromBytes: 'function',\n        toBytes: 'function',\n        endo: 'object',\n        randomBytes: 'function',\n    });\n    // Snapshot constructor-time flags whose later mutation would otherwise change\n    // validity semantics of an already-built point type.\n    const { endo, allowInfinityPoint } = extraOpts;\n    const randomBytes = extraOpts.randomBytes === undefined ? wcRandomBytes : extraOpts.randomBytes;\n    if (endo) {\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)\n            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        // SEC 1 v2.0 §2.3.3 encodes infinity as the single octet 0x00. Only curves\n        // that opt into infinity as a public point value should expose that byte form.\n        if (allowInfinityPoint && point.is0())\n            return Uint8Array.of(0);\n        const { x, y } = point.toAffine();\n        const bx = Fp.toBytes(x);\n        abool(isCompressed, 'isCompressed');\n        if (isCompressed) {\n            assertCompressionIsSupported();\n            const hasEvenY = !Fp.isOdd(y);\n            return concatBytes(pprefix(hasEvenY), bx);\n        }\n        else {\n            return concatBytes(Uint8Array.of(0x04), bx, Fp.toBytes(y));\n        }\n    }\n    function pointFromBytes(bytes) {\n        abytes(bytes, undefined, 'Point');\n        const { publicKey: comp, publicKeyUncompressed: uncomp } = 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        if (allowInfinityPoint && length === 1 && head === 0x00)\n            return { x: Fp.ZERO, y: Fp.ZERO };\n        // SEC 1 v2.0 §2.3.4 decodes 0x00 as infinity, but §3.2.2 public-key validation\n        // rejects infinity. We therefore keep 0x00 rejected by default because callers\n        // reuse this parser as the strict public-key boundary, and only admit it when\n        // the curve explicitly opts into infinity as a public point value. secp256k1\n        // crosstests show OpenSSL raw point codecs accept 0x00 too.\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))\n                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            }\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 evenY = Fp.isOdd(y);\n            const evenH = (head & 1) === 1; // ECDSA-specific\n            if (evenH !== evenY)\n                y = Fp.neg(y);\n            return { x, 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))\n                throw new Error('bad point: is not on curve');\n            return { x, 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 === undefined ? pointToBytes : extraOpts.toBytes;\n    const decodePoint = extraOpts.fromBytes === undefined ? pointFromBytes : extraOpts.fromBytes;\n    // Hoisted from double() / add(): curve params never change after construction.\n    // Koblitz curves (a=0, e.g. secp256k1) skip the three a-multiplications per operation;\n    // the selection depends only on public curve constants.\n    const b3 = Fp.mul(CURVE.b, _3n);\n    const mulA = Fp.is0(CURVE.a) ? (_) => Fp.ZERO : (x) => Fp.mul(CURVE.a, x);\n    function weierstrassEquation(x) {\n        const x2 = Fp.sqr(x);\n        const x3 = Fp.mul(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);\n        const right = weierstrassEquation(x); // x³ + ax + b\n        return Fp.eql(left, right);\n    }\n    // Keep constructor-time generator validation cheap: callers are responsible for supplying the\n    // correct prime-order base point, while eager subgroup checks here would slow heavy module imports.\n    // Test 1: equation y² = x³ + ax + b should work for generator point.\n    if (!isValidXY(CURVE.Gx, CURVE.Gy))\n        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)))\n        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)))\n            throw new Error(`bad point coordinate ${title}`);\n        return n;\n    }\n    function aprjpoint(other) {\n        if (!(other instanceof Point))\n            throw new Error('Weierstrass Point expected');\n    }\n    function splitEndoScalarN(k) {\n        if (!endo || !endo.basises)\n            throw new Error('no endo');\n        return _splitEndoScalar(k, endo.basises, Fn.ORDER);\n    }\n    /**\n     * Appends a (point, scalar) pair to the inputs of a vartime wNAF walk\n     * ({@link mulAddUnsafe}). With GLV endomorphism the scalar is split into two half-width\n     * pairs against P and ψ(P) = (β⋅x, y), halving the walk's shared doubling chain;\n     * split signs fold into the points.\n     */\n    function pushWnafPair(points, scalars, p, k) {\n        if (!Fn.isValid(k))\n            throw new RangeError('invalid scalar: out of range'); // 0 is valid\n        if (endo) {\n            const { k1neg, k1, k2neg, k2 } = splitEndoScalarN(k);\n            const psi = new Point(Fp.mul(p.X, endo.beta), p.Y, p.Z);\n            points.push(k1neg ? p.negate() : p, k2neg ? psi.negate() : psi);\n            scalars.push(k1, k2);\n        }\n        else {\n            points.push(p);\n            scalars.push(k);\n        }\n    }\n    // Successful assertValidity() results are cached: Point instances are frozen at construction,\n    // so on-curve + subgroup facts cannot change afterwards. Only success is cached — invalid\n    // points re-throw on every call. This matters most for pairing curves, where subgroup checks\n    // cost a scalar multiplication and the same instance is re-validated across layers\n    // (signature fromBytes, pairingBatch) or across repeated verifies with a cached public key.\n    const validityCache = new WeakSet();\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        static BASE = new Point(CURVE.Gx, CURVE.Gy, Fp.ONE);\n        static ZERO = new Point(Fp.ZERO, Fp.ONE, Fp.ZERO);\n        static Fp = Fp;\n        static Fn = Fn;\n        X;\n        Y;\n        Z;\n        /** Does NOT validate if the point is valid. Use `.assertValidity()`. */\n        constructor(X, Y, Z) {\n            this.X = acoord('x', X);\n            // This is not just about ZERO / infinity: ambient curves can have real\n            // finite points with y=0. Those points are 2-torsion, so they cannot lie\n            // in the odd prime-order subgroups this point type is meant to represent.\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 { x, y } = p || {};\n            if (!p || !Fp.isValid(x) || !Fp.isValid(y))\n                throw new Error('invalid affine point');\n            if (p instanceof Point)\n                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))\n                return Point.ZERO;\n            return new Point(x, y, Fp.ONE);\n        }\n        static fromBytes(bytes) {\n            const P = Point.fromAffine(decodePoint(abytes(bytes, undefined, 'point')));\n            P.assertValidity();\n            return P;\n        }\n        static fromHex(hex) {\n            return Point.fromBytes(hexToBytes(hex));\n        }\n        get x() {\n            return this.toAffine().x;\n        }\n        get y() {\n            return this.toAffine().y;\n        }\n        /**\n         * @param isLazy - true will defer table computation until the first multiplication\n         */\n        precompute(windowSize = 6, isLazy = true) {\n            wnaf.setWindowSize(this, windowSize);\n            if (!isLazy)\n                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            const p = this;\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                // Keep the accepted infinity encoding canonical: projective-equivalent (X, Y, 0) points\n                // like (1, 1, 0) compare equal to ZERO, but only (0, 1, 0) should pass this guard.\n                if (extraOpts.allowInfinityPoint && Fp.is0(p.X) && Fp.eql(p.Y, Fp.ONE) && Fp.is0(p.Z))\n                    return;\n                throw new Error('bad point: ZERO');\n            }\n            if (validityCache.has(p))\n                return;\n            // Some 3rd-party test vectors require different wording between here & `fromCompressedHex`\n            const { x, y } = p.toAffine();\n            if (!Fp.isValid(x) || !Fp.isValid(y))\n                throw new Error('bad point: x or y not field elements');\n            if (!isValidXY(x, y))\n                throw new Error('bad point: equation left != right');\n            if (!p.isTorsionFree())\n                throw new Error('bad point: not in prime-order subgroup');\n            validityCache.add(p);\n        }\n        hasEvenY() {\n            const { y } = this.toAffine();\n            if (!Fp.isOdd)\n                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 { X: X1, Y: Y1, Z: Z1 } = this;\n            const { X: X2, Y: Y2, Z: Z2 } = 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 { X: X1, Y: Y1, Z: Z1 } = this;\n            let X3 = Fp.ZERO, Y3 = Fp.ZERO, 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 = mulA(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 = mulA(t2);\n            t3 = Fp.sub(t0, t2);\n            t3 = mulA(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 { X: X1, Y: Y1, Z: Z1 } = this;\n            const { X: X2, Y: Y2, Z: Z2 } = other;\n            let X3 = Fp.ZERO, Y3 = Fp.ZERO, Z3 = Fp.ZERO; // prettier-ignore\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 = mulA(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 = mulA(t2);\n            t4 = Fp.mul(b3, t4);\n            t1 = Fp.add(t1, t2);\n            t2 = Fp.sub(t0, t2); // step 30\n            t2 = mulA(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            // Validate before calling `negate()` so wrong inputs fail with the point guard\n            // instead of leaking a foreign `negate()` error.\n            aprjpoint(other);\n            return this.add(other.negate());\n        }\n        is0() {\n            return this.equals(Point.ZERO);\n        }\n        /**\n         * Constant time multiplication.\n         * Uses precomputed tables (signed fixed-window wNAF) when available.\n         * Uses scalar blinding and avoids endomorphism splitting in the secret-scalar path.\n         * @param scalar - by which the point would be multiplied\n         * @returns New point\n         */\n        multiply(scalar) {\n            // Keep the subgroup-scalar contract strict instead of reducing 0 / n to ZERO.\n            // In key/signature-style callers, those values usually mean broken hash/scalar plumbing,\n            // and failing closed is safer than silently producing the identity point.\n            if (!Fn.isValidNot0(scalar))\n                throw new RangeError('invalid scalar: out of range'); // 0 is invalid\n            const { p, f } = wnaf.mulSecret(this, scalar, cofactor, normalize);\n            return normalize([p, f])[0];\n        }\n        /**\n         * Non-constant-time multiplication. Uses width-4 wNAF with GLV endomorphism splitting\n         * when available (two half-width scalars sharing one halved doubling chain).\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(scalar) {\n            const p = this;\n            const sc = scalar;\n            // Public-scalar callers may need 0, but n and larger values stay rejected here too.\n            // Reducing them mod n would turn bad caller input into an accidental identity point.\n            if (!Fn.isValid(sc))\n                throw new RangeError('invalid scalar: out of range'); // 0 is valid\n            if (sc === _0n || p.is0())\n                return Point.ZERO;\n            if (sc === _1n)\n                return p;\n            if (wnaf.hasWindowSize(this))\n                return wnaf.mulUnsafe(p, sc, normalize); // precomputes\n            const points = [];\n            const scalars = [];\n            pushWnafPair(points, scalars, p, sc);\n            return mulAddUnsafe(Point, points, scalars);\n        }\n        /**\n         * Non-constant-time double-scalar multiplication `a⋅this + b⋅other` (Strauss–Shamir).\n         * Both walks share one doubling chain via {@link mulAddUnsafe}, and GLV endomorphism\n         * (when available) halves the chain again by splitting each scalar into two half-width\n         * parts. Used by ECDSA verification and public-key recovery for `R = u1⋅G + u2⋅P`.\n         * Only for public scalars.\n         */\n        mulAddUnsafe(a, other, b) {\n            aprjpoint(other);\n            const points = [];\n            const scalars = [];\n            pushWnafPair(points, scalars, this, a);\n            pushWnafPair(points, scalars, other, b);\n            return mulAddUnsafe(Point, points, scalars);\n        }\n        /**\n         * Converts Projective point to affine (x, y) coordinates.\n         * (X, Y, Z) ∋ (x=X/Z, y=Y/Z).\n         * @param invertedZ - Z^-1 (inverted zero) - optional, precomputation is useful for invertBatch\n         */\n        toAffine(invertedZ) {\n            const p = this;\n            let iz = invertedZ;\n            if (iz != null && !Fp.isValid(iz))\n                throw new RangeError('\"invertedZ\" expected valid field element');\n            const { X, Y, Z } = p;\n            // Fast-path for normalized points\n            if (Fp.eql(Z, Fp.ONE))\n                return { x: X, y: Y };\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)\n                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)\n                return { x: Fp.ZERO, y: Fp.ZERO };\n            if (!Fp.eql(zz, Fp.ONE))\n                throw new Error('invZ was invalid');\n            return { x, y };\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 { isTorsionFree } = extraOpts;\n            if (cofactor === _1n)\n                return true;\n            if (isTorsionFree)\n                return isTorsionFree(Point, this);\n            // unsafe() will use the uncached wNAF path internally, since CURVE_ORDER >= Fn.ORDER\n            return wnaf.mulUnsafe(this, CURVE_ORDER).is0();\n        }\n        clearCofactor() {\n            const { clearCofactor } = extraOpts;\n            if (cofactor === _1n)\n                return this; // Fast-path\n            if (clearCofactor)\n                return clearCofactor(Point, this);\n            // Default fallback assumes the cofactor fits the usual subgroup-scalar\n            // multiplyUnsafe() contract. Curves with larger / structured cofactors\n            // should define a clearCofactor override anyway (e.g. psi/Frobenius maps).\n            return this.multiplyUnsafe(cofactor);\n        }\n        isSmallOrder() {\n            if (cofactor === _1n)\n                return this.is0(); // Fast-path\n            return this.clearCofactor().is0();\n        }\n        toBytes(isCompressed = true) {\n            abool(isCompressed, 'isCompressed');\n            // Same policy as pointFromBytes(): keep ZERO out of the default byte surface because\n            // callers use these encodings as public keys, where SEC 1 validation rejects infinity.\n            this.assertValidity();\n            return encodePoint(Point, this, isCompressed);\n        }\n        toHex(isCompressed = true) {\n            return bytesToHex(this.toBytes(isCompressed));\n        }\n        toString() {\n            return `<Point ${this.is0() ? 'ZERO' : this.toHex()}>`;\n        }\n    }\n    const normalize = (points) => normalizeZ(Point, points);\n    const wnaf = new ScalarMultiplier(Point, randomBytes);\n    // Enable W=6 wNAF precomputes. Slows down first publicKey computation.\n    // Disable for tiny toy curves, with scalar fields < 6 bits.\n    if (wnaf.bits >= 6)\n        Point.BASE.precompute(6);\n    Object.freeze(Point.prototype);\n    Object.freeze(Point);\n    return Point;\n}\n// Points start with byte 0x02 when y is even; otherwise 0x03\nfunction pprefix(hasEvenY) {\n    return Uint8Array.of(hasEvenY ? 0x02 : 0x03);\n}\nfunction getWLengths(Fp, Fn) {\n    return {\n        secretKey: Fn.BYTES,\n        publicKey: 1 + Fp.BYTES,\n        publicKeyUncompressed: 1 + 2 * Fp.BYTES,\n        publicKeyHasPrefix: true,\n        // Raw compact `(r || s)` signature width; DER and recovered signatures use\n        // different lengths outside this helper.\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 * @param Point - Weierstrass point constructor.\n * @param ecdhOpts - Optional randomness helpers:\n *   - `randomBytes` (optional): Optional RNG override.\n * @returns ECDH helper namespace.\n * @example\n * Sometimes users only need getPublicKey, getSharedSecret, and secret key handling.\n *\n * ```ts\n * import { ecdh } from '@noble/curves/abstract/weierstrass.js';\n * import { p256 } from '@noble/curves/nist.js';\n * const dh = ecdh(p256.Point);\n * const alice = dh.keygen();\n * const shared = dh.getSharedSecret(alice.secretKey, alice.publicKey);\n * ```\n */\nexport function ecdh(Point, ecdhOpts = {}) {\n    validatePointCons(Point);\n    const { Fn } = Point;\n    const randomBytes_ = ecdhOpts.randomBytes === undefined ? wcRandomBytes : ecdhOpts.randomBytes;\n    // Keep the advertised seed length aligned with mapHashToField(), which keeps a hard 16-byte\n    // minimum even on toy curves.\n    const lengths = Object.assign(getWLengths(Point.Fp, Fn), {\n        seed: Math.max(getMinHashLength(Fn.ORDER), 16),\n    });\n    function isValidSecretKey(secretKey) {\n        try {\n            const num = Fn.fromBytes(secretKey);\n            return Fn.isValidNot0(num);\n        }\n        catch (error) {\n            return false;\n        }\n    }\n    function isValidPublicKey(publicKey, isCompressed) {\n        const { publicKey: comp, publicKeyUncompressed } = lengths;\n        try {\n            const l = publicKey.length;\n            if (isCompressed === true && l !== comp)\n                return false;\n            if (isCompressed === false && l !== publicKeyUncompressed)\n                return false;\n            return !!Point.fromBytes(publicKey);\n        }\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) {\n        seed = seed === undefined ? randomBytes_(lengths.seed) : seed;\n        return mapHashToField(abytes(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(Fn.fromBytes(secretKey)).toBytes(isCompressed);\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        const { secretKey, publicKey, publicKeyUncompressed } = lengths;\n        const allowedLengths = Fn._lengths;\n        if (!isBytes(item))\n            return undefined;\n        const l = abytes(item, undefined, 'key').length;\n        const isPub = l === publicKey || l === publicKeyUncompressed;\n        const isSec = l === secretKey || !!allowedLengths?.includes(l);\n        // P-521 accepts both 65- and 66-byte secret keys, so overlapping lengths stay ambiguous.\n        if (isPub && isSec)\n            return undefined;\n        return isPub;\n    }\n    /**\n     * ECDH (Elliptic Curve Diffie Hellman).\n     * Computes encoded shared point 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 or expose the SEC 1 x-coordinate-only `z`.\n     * Returns the encoded shared point on purpose: callers that need `x_P`\n     * can derive it from the encoded point, but `x_P` alone cannot recover the\n     * point/parity back.\n     * This helper only exposes the fully validated public-key path, not cofactor DH.\n     * @param isCompressed - whether to return compact (default), or full key\n     * @returns shared point encoding\n     */\n    function getSharedSecret(secretKeyA, publicKeyB, isCompressed = true) {\n        if (isProbPub(secretKeyA) === true)\n            throw new Error('first arg must be private key');\n        if (isProbPub(publicKeyB) === false)\n            throw new Error('second arg must be public key');\n        const s = Fn.fromBytes(secretKeyA);\n        const b = Point.fromBytes(publicKeyB); // checks for being on-curve\n        return b.multiply(s).toBytes(isCompressed);\n    }\n    const utils = {\n        isValidSecretKey,\n        isValidPublicKey,\n        randomSecretKey,\n    };\n    const keygen = createKeygen(randomSecretKey, getPublicKey);\n    Object.freeze(utils);\n    Object.freeze(lengths);\n    return Object.freeze({ getPublicKey, getSharedSecret, keygen, Point, utils, lengths });\n}\n/**\n * Creates ECDSA signing interface for given elliptic curve `Point` and `hash` function.\n *\n * @param Point - created using {@link weierstrass} function\n * @param hash - used for 1) message prehash-ing 2) k generation in `sign`, using hmac_drbg(hash)\n * @param ecdsaOpts - rarely needed, see {@link ECDSAOpts}:\n *   - `lowS`: Default low-S policy.\n *   - `hmac`: HMAC implementation used by RFC6979 DRBG.\n *   - `randomBytes`: Optional RNG override.\n *   - `bits2int`: Optional hash-to-int conversion override.\n *   - `bits2int_modN`: Optional hash-to-int-mod-n conversion override.\n *\n * @returns ECDSA helper namespace.\n * @example\n * Create an ECDSA signer/verifier bundle for one curve implementation.\n *\n * ```ts\n * import { ecdsa } from '@noble/curves/abstract/weierstrass.js';\n * import { p256 } from '@noble/curves/nist.js';\n * import { sha256 } from '@noble/hashes/sha2.js';\n * const p256ecdsa = ecdsa(p256.Point, sha256);\n * const { secretKey, publicKey } = p256ecdsa.keygen();\n * const msg = new TextEncoder().encode('hello noble');\n * const sig = p256ecdsa.sign(msg, secretKey);\n * const isValid = p256ecdsa.verify(sig, msg, publicKey);\n * ```\n */\nexport function ecdsa(Point, hash, ecdsaOpts = {}) {\n    validatePointCons(Point);\n    // Custom hash / bits2int hooks are treated as pure functions over validated caller-owned bytes.\n    const hash_ = hash;\n    ahash(hash_);\n    validateObject(ecdsaOpts, {}, {\n        hmac: 'function',\n        lowS: 'boolean',\n        randomBytes: 'function',\n        bits2int: 'function',\n        bits2int_modN: 'function',\n    });\n    const opts = Object.assign({}, ecdsaOpts);\n    const randomBytes = opts.randomBytes === undefined ? wcRandomBytes : opts.randomBytes;\n    const hmac = opts.hmac === undefined\n        ? (key, msg) => nobleHmac(hash_, key, msg)\n        : opts.hmac;\n    const { Fp, Fn } = Point;\n    const { ORDER: CURVE_ORDER, BITS: fnBits } = Fn;\n    // Nonce-inversion blinding in k2sig draws `getMinHashLength(n)` bytes per sign. Probe the RNG\n    // once (see {@link probeRandomBytes}, shared with ScalarMultiplier): in environments without\n    // working randomness, signing downgrades to Fermat inversion (invertCt) instead of throwing on\n    // every sign(). The shape of returned bytes is still validated (by mapHashToField) on every\n    // blinded call, where breakage fails closed.\n    const blindLength = getMinHashLength(CURVE_ORDER);\n    const csprng = probeRandomBytes(randomBytes, blindLength);\n    const { keygen, getPublicKey, getSharedSecret, utils, lengths } = ecdh(Point, opts);\n    const defaultSigOpts = {\n        prehash: true,\n        lowS: typeof opts.lowS === 'boolean' ? opts.lowS : true,\n        format: 'compact',\n        extraEntropy: false,\n    };\n    // SEC 1 4.1.6 public-key recovery tries x = r + jn for j = 0..h. Our recovered-signature\n    // format only stores one overflow bit, so it can only distinguish q.x = r from q.x = r + n.\n    // A third lift would have the form q.x = r + 2n. Since valid ECDSA r is in 1..n-1, the\n    // smallest such lift is 1 + 2n, not 2n.\n    const hasLargeRecoveryLifts = CURVE_ORDER * _2n + _1n < Fp.ORDER;\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))\n            throw new Error(`invalid signature ${title}: out of range 1..Point.Fn.ORDER`);\n        return num;\n    }\n    function assertFieldSignIsSupported() {\n        if (!Fp.isOdd)\n            throw new Error(\"Field doesn't support isOdd\");\n    }\n    // Recovery id of an affine point (x, y) whose x reduces to signature `r` mod n:\n    // bit 0 = y parity, bit 1 = x overflowed the group order (x = r + n).\n    function getRecoveryBit(x, y, r) {\n        assertFieldSignIsSupported();\n        return (x === r ? 0 : 2) | Number(Fp.isOdd(y));\n    }\n    function assertRecoverableCurve() {\n        // ECDSA recovery only supports curves where the current recovery id can distinguish\n        // q.x = r and q.x = r + n; larger lifts may need additional `r + n*i` branches.\n        // SEC 1 4.1.6 recovers candidates via x = r + jn, but this format only encodes j = 0 or 1.\n        // The next possible candidate is q.x = r + 2n, and its smallest valid value is 1 + 2n.\n        // To easily get i, we either need to:\n        // a. increase amount of valid recid values (4, 5...); OR\n        // b. prohibit recovered signatures for those curves.\n        if (hasLargeRecoveryLifts)\n            throw new Error('\"recovered\" sig type is not supported for cofactor >2 curves');\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 abytes(bytes, sizer);\n    }\n    /**\n     * ECDSA signature with its (r, s) properties. Supports compact, recovered & DER representations.\n     */\n    class Signature {\n        r;\n        s;\n        recovery;\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) {\n                assertRecoverableCurve();\n                if (![0, 1, 2, 3].includes(recovery))\n                    throw new Error('invalid recovery id');\n                this.recovery = recovery;\n            }\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 { r, s } = DER.toSig(abytes(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 = lengths.signature / 2;\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(hexToBytes(hex), format);\n        }\n        assertRecovery() {\n            const { recovery } = this;\n            if (recovery == null)\n                throw new Error('invalid recovery id: must be present');\n            return recovery;\n        }\n        addRecoveryBit(recovery) {\n            return new Signature(this.r, this.s, recovery);\n        }\n        // Unlike the top-level helper below, this method expects a digest that has\n        // already been hashed to the curve's message representative.\n        recoverPublicKey(messageHash) {\n            const { r, s } = this;\n            const recovery = this.assertRecovery();\n            const radj = recovery === 2 || recovery === 3 ? r + CURVE_ORDER : r;\n            if (!Fp.isValid(radj))\n                throw new Error('invalid recovery id: sig.r+curve.n != R.x');\n            const x = Fp.toBytes(radj);\n            const R = Point.fromBytes(concatBytes(pprefix((recovery & 1) === 0), x));\n            const ir = Fn.inv(radj); // r^-1\n            const h = bits2int_modN(abytes(messageHash, undefined, 'msgHash')); // 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.mulAddUnsafe(u1, R, u2);\n            if (Q.is0())\n                throw new Error('invalid recovery: 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')\n                return hexToBytes(DER.hexFromSig(this));\n            const { r, s } = this;\n            const rb = Fn.toBytes(r);\n            const sb = Fn.toBytes(s);\n            if (format === 'recovered') {\n                assertRecoverableCurve();\n                return concatBytes(Uint8Array.of(this.assertRecovery()), rb, sb);\n            }\n            return concatBytes(rb, sb);\n        }\n        toHex(format) {\n            return bytesToHex(this.toBytes(format));\n        }\n    }\n    Object.freeze(Signature.prototype);\n    Object.freeze(Signature);\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 = opts.bits2int === undefined\n        ? function bits2int_def(bytes) {\n            // Our custom check \"just in case\", for protection against DoS\n            if (bytes.length > 8192)\n                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 = 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        : opts.bits2int;\n    const bits2int_modN = opts.bits2int_modN === undefined\n        ? function bits2int_modN_def(bytes) {\n            return Fn.create(bits2int(bytes)); // can't use bytesToNumberBE here\n        }\n        : opts.bits2int_modN;\n    const ORDER_MASK = bitMask(fnBits);\n    // Pads output with zero as per spec.\n    /** Converts to bytes. Checks if num in `[0..ORDER_MASK-1]` e.g.: `[0..2^256-1]`. */\n    function int2octets(num) {\n        aInRange('num < 2^' + fnBits, num, _0n, ORDER_MASK);\n        return Fn.toBytes(num);\n    }\n    function validateMsgAndHash(message, prehash) {\n        abytes(message, undefined, 'message');\n        return (prehash ? abytes(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, secretKey, opts) {\n        const { lowS, prehash, extraEntropy } = 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 = Fn.fromBytes(secretKey); // validate secret key, convert to bigint\n        if (!Fn.isValidNot0(d))\n            throw new Error('invalid private key');\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(abytes(e, undefined, 'extraEntropy')); // check for being bytes\n        }\n        const seed = concatBytes(...seedArgs); // Step D of RFC6979 3.2\n        const m = h1int; // 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        // The nonce inversion is blinded: with random b ∈ [1,n−1], s = (bk)^-1(bm + bdr) per\n        // https://tches.iacr.org/index.php/TCHES/article/view/7337/6509. Fn.inv()'s extended-Euclidean\n        // loop count depends on its input (cf. Minerva), but here it only ever sees b·k — uniformly\n        // random, independent of k — so its timing reveals nothing about the nonce; b also masks d in\n        // the products. Without a CSPRNG (probed in ecdsa()) we fall back to Fermat inversion\n        // (invertCt), whose control flow is data-independent, at ~4x the inversion cost.\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); // Cannot use fields methods, since it is group element\n            if (!Fn.isValidNot0(k))\n                return; // Valid scalars (including k) must be in 1..N-1\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)\n                return;\n            let s;\n            if (csprng !== undefined) {\n                // mapHashToField maps 1.5x-order-length uniform bytes into [1, n-1], negligible bias.\n                const b = bytesToNumberBE(mapHashToField(csprng(blindLength), CURVE_ORDER));\n                const ibk = Fn.inv(Fn.mul(b, k)); // (bk)^-1: inversion input is decorrelated from k\n                const bm = Fn.mul(b, m);\n                const bd = Fn.mul(b, d);\n                s = Fn.create(ibk * Fn.create(bm + bd * r)); // s = (bk)^-1(bm + bdr) = k^-1(m + rd) mod n\n            }\n            else {\n                const ik = invertCt(k, CURVE_ORDER); // k^-1 mod n with data-independent control flow\n                s = Fn.create(ik * Fn.create(m + r * d)); // s = k^-1(m + rd) mod n\n            }\n            if (s === _0n)\n                return;\n            let recovery = getRecoveryBit(q.x, q.y, r); // 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 in the bottom half of N\n                recovery ^= 1;\n            }\n            return new Signature(r, normS, hasLargeRecoveryLifts ? undefined : recovery);\n        }\n        return { seed, k2sig };\n    }\n    /**\n     * Signs a message or message hash with a secret key.\n     * With the default `prehash: true`, raw message bytes are hashed internally;\n     * only `{ prehash: false }` expects a caller-supplied digest.\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        const { seed, k2sig } = prepSig(message, secretKey, opts); // Steps A, D of RFC6979 3.2.\n        const drbg = createHmacDrbg(hash_.outputLen, Fn.BYTES, hmac);\n        const sig = drbg(seed, k2sig); // Steps B, C, D, E, F, G\n        return sig.toBytes(opts.format);\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 { lowS, prehash, format } = validateSigOpts(opts, defaultSigOpts);\n        publicKey = abytes(publicKey, undefined, 'publicKey');\n        message = validateMsgAndHash(message, prehash);\n        if (!isBytes(signature)) {\n            const end = signature instanceof Signature ? ', use sig.toBytes()' : '';\n            throw new Error('verify expects Uint8Array signature' + end);\n        }\n        validateSigLength(signature, format); // execute this twice because we want loud error\n        try {\n            const sig = Signature.fromBytes(signature, format);\n            const P = Point.fromBytes(publicKey);\n            if (lowS && sig.hasHighS())\n                return false;\n            const { r, s } = 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.mulAddUnsafe(u1, P, u2); // u1⋅G + u2⋅P, joint Strauss–Shamir\n            if (R.is0())\n                return false;\n            const q = R.toAffine();\n            const v = Fn.create(q.x); // v = R.x mod n\n            if (v !== r)\n                return false;\n            // R is the exact point `recoverPublicKey(r, recid)` reconstructs (sR = hG + rP),\n            // so binding the signature to its recovery id only needs R's parity/overflow bits.\n            if (format === 'recovered' && sig.recovery !== getRecoveryBit(q.x, q.y, r))\n                return false;\n            return true;\n        }\n        catch (e) {\n            return false;\n        }\n    }\n    function recoverPublicKey(signature, message, opts = {}) {\n        // Top-level recovery mirrors `sign()` / `verify()`: it hashes raw message\n        // bytes first unless the caller passes `{ prehash: false }`.\n        const { prehash } = 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: hash_,\n    });\n}\n","/**\n * SECG secp256k1. See [pdf](https://www.secg.org/sec2-v2.pdf).\n *\n * Belongs to Koblitz curves: it has efficiently-computable GLV endomorphism ψ,\n * check out {@link EndomorphismOpts}. Seems to be rigid (not backdoored).\n * @module\n */\n/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */\nimport { sha256 } from '@noble/hashes/sha2.js';\nimport { randomBytes } from '@noble/hashes/utils.js';\nimport { createKeygen } from \"./abstract/curve.js\";\nimport { createFROST, } from \"./abstract/frost.js\";\nimport { createHasher, isogenyMap, mapToCurveSimpleSWU, } from \"./abstract/hash-to-curve.js\";\nimport { Field, mapHashToField, pow2 } from \"./abstract/modular.js\";\nimport { ecdsa, weierstrass, } from \"./abstract/weierstrass.js\";\nimport { abytes, asciiToBytes, bytesToNumberBE, concatBytes, } from \"./utils.js\";\n// Seems like generator was produced from some seed:\n// `Pointk1.BASE.multiply(Pointk1.Fn.inv(2n, N)).toAffine().x`\n// // gives short x 0x3b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63n\nconst secp256k1_CURVE = {\n    p: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f'),\n    n: BigInt('0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'),\n    h: BigInt(1),\n    a: BigInt(0),\n    b: BigInt(7),\n    Gx: BigInt('0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798'),\n    Gy: BigInt('0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8'),\n};\nconst secp256k1_ENDO = {\n    beta: BigInt('0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee'),\n    basises: [\n        [BigInt('0x3086d221a7d46bcde86c90e49284eb15'), -BigInt('0xe4437ed6010e88286f547fa90abfe4c3')],\n        [BigInt('0x114ca50f7a8e2f3f657c1108d9d44cfd8'), BigInt('0x3086d221a7d46bcde86c90e49284eb15')],\n    ],\n};\nconst _0n = /* @__PURE__ */ BigInt(0);\nconst _2n = /* @__PURE__ */ BigInt(2);\n/**\n * √n = n^((p+1)/4) for fields p = 3 mod 4. We unwrap the loop and multiply bit-by-bit.\n * (P+1n/4n).toString(2) would produce bits [223x 1, 0, 22x 1, 4x 0, 11, 00]\n */\nfunction sqrtMod(y) {\n    const P = secp256k1_CURVE.p;\n    // prettier-ignore\n    const _3n = BigInt(3), _6n = BigInt(6), _11n = BigInt(11), _22n = BigInt(22);\n    // prettier-ignore\n    const _23n = BigInt(23), _44n = BigInt(44), _88n = BigInt(88);\n    const b2 = (y * y * y) % P; // x^3, 11\n    const b3 = (b2 * b2 * y) % P; // x^7\n    const b6 = (pow2(b3, _3n, P) * b3) % P;\n    const b9 = (pow2(b6, _3n, P) * b3) % P;\n    const b11 = (pow2(b9, _2n, P) * b2) % P;\n    const b22 = (pow2(b11, _11n, P) * b11) % P;\n    const b44 = (pow2(b22, _22n, P) * b22) % P;\n    const b88 = (pow2(b44, _44n, P) * b44) % P;\n    const b176 = (pow2(b88, _88n, P) * b88) % P;\n    const b220 = (pow2(b176, _44n, P) * b44) % P;\n    const b223 = (pow2(b220, _3n, P) * b3) % P;\n    const t1 = (pow2(b223, _23n, P) * b22) % P;\n    const t2 = (pow2(t1, _6n, P) * b2) % P;\n    const root = pow2(t2, _2n, P);\n    if (!Fpk1.eql(Fpk1.sqr(root), y))\n        throw new Error('Cannot find square root');\n    return root;\n}\nconst Fpk1 = /* @__PURE__ */ Field(secp256k1_CURVE.p, { sqrt: sqrtMod });\nconst Pointk1 = /* @__PURE__ */ weierstrass(secp256k1_CURVE, {\n    Fp: Fpk1,\n    endo: secp256k1_ENDO,\n});\n/**\n * secp256k1 curve: ECDSA and ECDH methods.\n *\n * Uses sha256 to hash messages. To use a different hash,\n * pass `{ prehash: false }` to sign / verify.\n *\n * @example\n * Generate one secp256k1 keypair, sign a message, and verify it.\n *\n * ```js\n * import { secp256k1 } from '@noble/curves/secp256k1.js';\n * const { secretKey, publicKey } = secp256k1.keygen();\n * // const publicKey = secp256k1.getPublicKey(secretKey);\n * const msg = new TextEncoder().encode('hello noble');\n * const sig = secp256k1.sign(msg, secretKey);\n * const isValid = secp256k1.verify(sig, msg, publicKey);\n * // const sigKeccak = secp256k1.sign(keccak256(msg), secretKey, { prehash: false });\n * ```\n */\nexport const secp256k1 = /* @__PURE__ */ ecdsa(Pointk1, sha256);\n// Schnorr signatures are superior to ECDSA from above. Below is Schnorr-specific BIP0340 code.\n// https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki\n/** An object mapping tags to their tagged hash prefix of [SHA256(tag) | SHA256(tag)] */\nconst TAGGED_HASH_PREFIXES = Object.create(null);\n// BIP-340 phrases tags as UTF-8, but all current standardized names here are 7-bit ASCII.\nfunction taggedHash(tag, ...messages) {\n    let tagP = TAGGED_HASH_PREFIXES[tag];\n    if (tagP === undefined) {\n        const tagH = sha256(asciiToBytes(tag));\n        tagP = concatBytes(tagH, tagH);\n        TAGGED_HASH_PREFIXES[tag] = tagP;\n    }\n    return sha256(concatBytes(tagP, ...messages));\n}\n// ECDSA compact points are 33-byte. Schnorr is 32: we strip first byte 0x02 or 0x03\nconst pointToBytes = (point) => point.toBytes(true).slice(1);\nconst affineXToBytes = ({ x }) => Fpk1.toBytes(x);\nconst hasEven = (y) => !Fpk1.isOdd(y);\n// Calculate point, scalar and bytes\nfunction schnorrGetExtPubKey(priv) {\n    const { Fn, BASE } = Pointk1;\n    const d_ = Fn.fromBytes(abytes(priv, 32, 'secretKey'));\n    const p = BASE.multiply(d_); // P = d'⋅G; 0 < d' < n check is done inside\n    const affine = p.toAffine();\n    const scalar = hasEven(affine.y) ? d_ : Fn.neg(d_);\n    return { scalar, bytes: affineXToBytes(affine) };\n}\n/**\n * lift_x from BIP340. Convert 32-byte x coordinate to elliptic curve point.\n * @returns valid point checked for being on-curve\n */\nfunction lift_x(x) {\n    const Fp = Fpk1;\n    if (!Fp.isValidNot0(x))\n        throw new Error('invalid x: Fail if x ≥ p');\n    const xx = Fp.sqr(x);\n    const c = Fp.add(Fp.mulN(xx, x), BigInt(7)); // Let c = x³ + 7 mod p.\n    let y = Fp.sqrt(c); // Let y = c^(p+1)/4 mod p. Same as sqrt().\n    // Return the unique point P such that x(P) = x and\n    // y(P) = y if y mod 2 = 0 or y(P) = p-y otherwise.\n    if (!hasEven(y))\n        y = Fp.neg(y);\n    const p = Pointk1.fromAffine({ x, y });\n    p.assertValidity();\n    return p;\n}\n// BIP-340 callers still need to supply canonical 32-byte inputs where required; this alias only\n// parses big-endian bytes and does not enforce the fixed-width contract itself.\nconst num = bytesToNumberBE;\n/** Create tagged hash, convert it to bigint, reduce modulo-n. */\nfunction challenge(...args) {\n    return Pointk1.Fn.create(num(taggedHash('BIP0340/challenge', ...args)));\n}\n/** Schnorr public key is just `x` coordinate of Point as per BIP340. */\nfunction schnorrGetPublicKey(secretKey) {\n    return schnorrGetExtPubKey(secretKey).bytes; // d'=int(sk). Fail if d'=0 or d'≥n. Ret bytes(d'⋅G)\n}\n/**\n * Creates Schnorr signature as per BIP340. Verifies itself before returning anything.\n * `auxRand` is optional and is not the sole source of `k` generation: bad CSPRNG output will not\n * be catastrophic, but BIP-340 still recommends fresh auxiliary randomness when available to harden\n * deterministic signing against side-channel and fault-injection attacks.\n */\nfunction schnorrSign(message, secretKey, auxRand = randomBytes(32)) {\n    const { Fn, BASE } = Pointk1;\n    const m = abytes(message, undefined, 'message');\n    const { bytes: px, scalar: d } = schnorrGetExtPubKey(secretKey); // checks for isWithinCurveOrder\n    const a = abytes(auxRand, 32, 'auxRand'); // Auxiliary random data a: a 32-byte array\n    // Let t be the byte-wise xor of bytes(d) and hash/aux(a).\n    const t = Fn.toBytes(d ^ num(taggedHash('BIP0340/aux', a)));\n    const rand = taggedHash('BIP0340/nonce', t, px, m); // Let rand = hash/nonce(t || bytes(P) || m)\n    // BIP340 defines k' = int(rand) mod n. We can't reuse schnorrGetExtPubKey(rand)\n    // here: that helper parses canonical secret keys and rejects rand >= n instead\n    // of reducing the nonce hash modulo the group order.\n    const k_ = Fn.create(num(rand));\n    // BIP-340: \"Let k' = int(rand) mod n. Fail if k' = 0. Let R = k'⋅G.\"\n    if (k_ === _0n)\n        throw new Error('sign failed: k is zero');\n    const p = BASE.multiply(k_); // Rejects zero; only the raw nonce hash needs reduction.\n    const affine = p.toAffine();\n    const k = hasEven(affine.y) ? k_ : Fn.neg(k_);\n    const rx = affineXToBytes(affine);\n    const e = challenge(rx, px, m); // Let e = int(hash/challenge(bytes(R) || bytes(P) || m)) mod n.\n    const sig = new Uint8Array(64); // Let sig = bytes(R) || bytes((k + ed) mod n).\n    sig.set(rx, 0);\n    sig.set(Fn.toBytes(Fn.create(k + e * d)), 32);\n    // If Verify(bytes(P), m, sig) (see below) returns failure, abort\n    if (!schnorrVerify(sig, m, px))\n        throw new Error('sign: Invalid signature produced');\n    return sig;\n}\n/**\n * Verifies Schnorr signature.\n * Will swallow errors & return false except for initial type validation of arguments.\n */\nfunction schnorrVerify(signature, message, publicKey) {\n    const { Fp, Fn, BASE } = Pointk1;\n    const sig = abytes(signature, 64, 'signature');\n    const m = abytes(message, undefined, 'message');\n    const pub = abytes(publicKey, 32, 'publicKey');\n    try {\n        const P = lift_x(num(pub)); // P = lift_x(int(pk)); fail if that fails\n        const rBytes = sig.subarray(0, 32);\n        const r = num(rBytes); // Let r = int(sig[0:32]); fail if r ≥ p.\n        if (!Fp.isValidNot0(r))\n            return false;\n        const s = num(sig.subarray(32, 64)); // Let s = int(sig[32:64]); fail if s ≥ n.\n        // Stricter than BIP-340/libsecp256k1, which only reject s >= n. Honest signing reaches\n        // s = 0 only with negligible probability (k + e*d ≡ 0 mod n), so treat zero-s inputs as\n        // crafted edge cases and fail closed instead of carrying that extra verification surface.\n        if (!Fn.isValidNot0(s))\n            return false;\n        // int(challenge(bytes(r) || bytes(P) || m)) % n\n        const e = challenge(rBytes, pointToBytes(P), m);\n        // R = s⋅G - e⋅P, where -eP == (n-e)P\n        const R = BASE.mulAddUnsafe(s, P, Fn.neg(e)); // s⋅G + (-e)⋅P, joint Strauss–Shamir\n        const { x, y } = R.toAffine();\n        // Fail if is_infinite(R) / not has_even_y(R) / x(R) ≠ r.\n        if (R.is0() || !hasEven(y) || !Fp.eql(x, r))\n            return false;\n        return true;\n    }\n    catch (error) {\n        return false;\n    }\n}\nexport const __TEST = /* @__PURE__ */ Object.freeze({ lift_x, frostTweakPublic, frostTweakSecret });\n/**\n * Schnorr signatures over secp256k1.\n * See {@link https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki | BIP 340}.\n * @example\n * Generate one BIP340 Schnorr keypair, sign a message, and verify it.\n *\n * ```js\n * import { schnorr } from '@noble/curves/secp256k1.js';\n * const { secretKey, publicKey } = schnorr.keygen();\n * // const publicKey = schnorr.getPublicKey(secretKey);\n * const msg = new TextEncoder().encode('hello');\n * const sig = schnorr.sign(msg, secretKey);\n * const isValid = schnorr.verify(sig, msg, publicKey);\n * ```\n */\nexport const schnorr = /* @__PURE__ */ (() => {\n    const size = 32;\n    const seedLength = 48;\n    const randomSecretKey = (seed) => {\n        seed = seed === undefined ? randomBytes(seedLength) : seed;\n        return mapHashToField(abytes(seed, seedLength, 'seed'), secp256k1_CURVE.n);\n    };\n    return Object.freeze({\n        keygen: createKeygen(randomSecretKey, schnorrGetPublicKey),\n        getPublicKey: schnorrGetPublicKey,\n        sign: schnorrSign,\n        verify: schnorrVerify,\n        Point: Pointk1,\n        utils: Object.freeze({\n            randomSecretKey,\n            taggedHash,\n            lift_x,\n            pointToBytes,\n        }),\n        lengths: Object.freeze({\n            secretKey: size,\n            publicKey: size,\n            publicKeyHasPrefix: false,\n            signature: size * 2,\n            seed: seedLength,\n        }),\n    });\n})();\n// RFC 9380 Appendix E.1 3-isogeny coefficients for secp256k1, stored in ascending degree order.\n// The final `1` in each denominator array is the explicit monic leading term.\nconst isoMap = /* @__PURE__ */ (() => isogenyMap(Fpk1, [\n    // xNum\n    [\n        '0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa8c7',\n        '0x7d3d4c80bc321d5b9f315cea7fd44c5d595d2fc0bf63b92dfff1044f17c6581',\n        '0x534c328d23f234e6e2a413deca25caece4506144037c40314ecbd0b53d9dd262',\n        '0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa88c',\n    ],\n    // xDen\n    [\n        '0xd35771193d94918a9ca34ccbb7b640dd86cd409542f8487d9fe6b745781eb49b',\n        '0xedadc6f64383dc1df7c4b2d51b54225406d36b641f5e41bbc52a56612a8c6d14',\n        '0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1\n    ],\n    // yNum\n    [\n        '0x4bda12f684bda12f684bda12f684bda12f684bda12f684bda12f684b8e38e23c',\n        '0xc75e0c32d5cb7c0fa9d0a54b12a0a6d5647ab046d686da6fdffc90fc201d71a3',\n        '0x29a6194691f91a73715209ef6512e576722830a201be2018a765e85a9ecee931',\n        '0x2f684bda12f684bda12f684bda12f684bda12f684bda12f684bda12f38e38d84',\n    ],\n    // yDen\n    [\n        '0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffff93b',\n        '0x7a06534bb8bdb49fd5e9e6632722c2989467c1bfc8e8d978dfb425d2685c2573',\n        '0x6484aa716545ca2cf3a70c3fa8fe337e0a3d21162f0d6299a7bf8192bfd2a76f',\n        '0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1\n    ],\n].map((i) => i.map((j) => BigInt(j)))))();\n// RFC 9380 §8.7 secp256k1 E' parameters for the SWU-to-isogeny pipeline below.\nlet mapSWU;\nconst getMapSWU = () => mapSWU ||\n    (mapSWU = mapToCurveSimpleSWU(Fpk1, {\n        // Building the SWU sqrt-ratio helper eagerly adds noticeable `secp256k1.js` import cost, so\n        // defer it to first use; after that the cached mapper is reused directly.\n        A: BigInt('0x3f8731abdd661adca08a5558f0f5d272e953d363cb6f0e5d405447c01a444533'),\n        B: BigInt('1771'),\n        Z: Fpk1.create(BigInt('-11')),\n    }));\n/**\n * Hashing / encoding to secp256k1 points / field. RFC 9380 methods.\n * @example\n * Hash one message onto secp256k1.\n *\n * ```ts\n * const point = secp256k1_hasher.hashToCurve(new TextEncoder().encode('hello noble'));\n * ```\n */\nexport const secp256k1_hasher = /* @__PURE__ */ (() => createHasher(Pointk1, (scalars) => {\n    const { x, y } = getMapSWU()(Fpk1.create(scalars[0]));\n    return isoMap(x, y);\n}, {\n    DST: 'secp256k1_XMD:SHA-256_SSWU_RO_',\n    encodeDST: 'secp256k1_XMD:SHA-256_SSWU_NU_',\n    p: Fpk1.ORDER,\n    m: 1,\n    k: 128,\n    expand: 'xmd',\n    hash: sha256,\n}))();\n/**\n * FROST threshold signatures over secp256k1. RFC 9591.\n * @example\n * Create one trusted-dealer package for 2-of-3 secp256k1 signing.\n *\n * ```ts\n * const alice = secp256k1_FROST.Identifier.derive('alice@example.com');\n * const bob = secp256k1_FROST.Identifier.derive('bob@example.com');\n * const carol = secp256k1_FROST.Identifier.derive('carol@example.com');\n * const deal = secp256k1_FROST.trustedDealer({ min: 2, max: 3 }, [alice, bob, carol]);\n * ```\n */\nexport const secp256k1_FROST = /* @__PURE__ */ (() => createFROST({\n    name: 'FROST-secp256k1-SHA256-v1',\n    Point: Pointk1,\n    hashToScalar: secp256k1_hasher.hashToScalar,\n    hash: sha256,\n}))();\n// Taproot utils\n// `undefined` means \"disable TapTweak entirely\"; callers that want the BIP-341/BIP-386 empty\n// merkle root must pass `new Uint8Array(0)` explicitly.\nfunction tweak(point, merkleRoot) {\n    if (merkleRoot === undefined)\n        return _0n;\n    const x = pointToBytes(point);\n    const t = bytesToNumberBE(taggedHash('TapTweak', x, merkleRoot));\n    // BIP-341 taproot_tweak_pubkey/taproot_tweak_seckey: \"if t >= SECP256K1_ORDER:\n    // raise ValueError\". TapTweak must reject overflow instead of reducing modulo n.\n    if (!Pointk1.Fn.isValid(t))\n        throw new Error('invalid TapTweak hash');\n    return t;\n}\nfunction frostPubToEvenY(pub) {\n    const VK = Pointk1.fromBytes(pub.commitments[0]);\n    // Keep aliasing on the already-even path so wrapper callers can skip unnecessary cloning.\n    if (hasEven(VK.y))\n        return pub;\n    return {\n        signers: { min: pub.signers.min, max: pub.signers.max },\n        commitments: pub.commitments.map((i) => Pointk1.fromBytes(i).negate().toBytes()),\n        verifyingShares: Object.fromEntries(Object.entries(pub.verifyingShares).map(([k, v]) => [\n            k,\n            Pointk1.fromBytes(v).negate().toBytes(),\n        ])),\n    };\n}\nfunction frostSecretToEvenY(s, pub) {\n    const VK = Pointk1.fromBytes(pub.commitments[0]);\n    // Keep aliasing on the already-even path so wrapper callers can preserve package identity.\n    if (hasEven(VK.y))\n        return s;\n    const Fn = Pointk1.Fn;\n    return {\n        ...s,\n        signingShare: Fn.toBytes(Fn.neg(Fn.fromBytes(s.signingShare))),\n    };\n}\nfunction frostNoncesToEvenY(groupCommitment, nonces) {\n    if (hasEven(groupCommitment.y))\n        return nonces;\n    const Fn = Pointk1.Fn;\n    return {\n        binding: Fn.toBytes(Fn.neg(Fn.fromBytes(nonces.binding))),\n        hiding: Fn.toBytes(Fn.neg(Fn.fromBytes(nonces.hiding))),\n    };\n}\nfunction frostTweakSecret(s, pub, merkleRoot) {\n    const Fn = Pointk1.Fn;\n    const keyPackage = frostSecretToEvenY(s, pub);\n    const evenPub = frostPubToEvenY(pub);\n    const t = tweak(Pointk1.fromBytes(evenPub.commitments[0]), merkleRoot);\n    const signingShare = Fn.toBytes(Fn.add(Fn.fromBytes(keyPackage.signingShare), t));\n    return {\n        identifier: keyPackage.identifier,\n        signingShare,\n    };\n}\nfunction frostTweakPublic(pub, merkleRoot) {\n    const PKPackage = frostPubToEvenY(pub);\n    const t = tweak(Pointk1.fromBytes(PKPackage.commitments[0]), merkleRoot);\n    // Disabled TapTweak (t=0): return the even-Y-normalized package as-is. multiply() rejects\n    // zero scalars, and adding [0]G would be a no-op anyway.\n    if (t === _0n)\n        return PKPackage;\n    const tp = Pointk1.BASE.multiply(t);\n    const commitments = PKPackage.commitments.map((c, i) => (i === 0 ? Pointk1.fromBytes(c).add(tp) : Pointk1.fromBytes(c)).toBytes());\n    const verifyingShares = {};\n    for (const k in PKPackage.verifyingShares) {\n        verifyingShares[k] = Pointk1.fromBytes(PKPackage.verifyingShares[k]).add(tp).toBytes();\n    }\n    return {\n        signers: { min: PKPackage.signers.min, max: PKPackage.signers.max },\n        commitments,\n        verifyingShares,\n    };\n}\n/**\n * FROST threshold signatures over secp256k1-schnorr-taproot. RFC 9591.\n * DKG outputs are auto-tweaked with the empty Taproot merkle root for compatibility, while\n * `trustedDealer()` outputs stay untweaked unless callers apply the Taproot tweak themselves.\n * @example\n * Create one trusted-dealer package for Taproot-compatible FROST signing.\n *\n * ```ts\n * const alice = schnorr_FROST.Identifier.derive('alice@example.com');\n * const bob = schnorr_FROST.Identifier.derive('bob@example.com');\n * const carol = schnorr_FROST.Identifier.derive('carol@example.com');\n * const deal = schnorr_FROST.trustedDealer({ min: 2, max: 3 }, [alice, bob, carol]);\n * ```\n */\nexport const schnorr_FROST = /* @__PURE__ */ (() => createFROST({\n    name: 'FROST-secp256k1-SHA256-TR-v1',\n    Point: Pointk1,\n    hashToScalar: secp256k1_hasher.hashToScalar,\n    hash: sha256,\n    // Taproot related hacks\n    parsePublicKey(publicKey) {\n        // External Taproot keys are x-only, but local key packages still use compressed points.\n        if (publicKey.length === 32)\n            return lift_x(bytesToNumberBE(publicKey));\n        if (publicKey.length === 33)\n            return Pointk1.fromBytes(publicKey);\n        throw new Error(`expected x-only or compressed public key, got length=${publicKey.length}`);\n    },\n    adjustScalar(n) {\n        const PK = Pointk1.BASE.multiply(n);\n        return hasEven(PK.y) ? n : Pointk1.Fn.neg(n);\n    },\n    adjustPoint: (p) => (hasEven(p.y) ? p : p.negate()),\n    challenge(R, PK, msg) {\n        return challenge(pointToBytes(R), pointToBytes(PK), msg);\n    },\n    adjustNonces: frostNoncesToEvenY,\n    adjustGroupCommitmentShare: (GC, GCShare) => (!hasEven(GC.y) ? GCShare.negate() : GCShare),\n    adjustPublic: frostPubToEvenY,\n    adjustSecret: frostSecretToEvenY,\n    adjustTx: {\n        // Compat with official implementation\n        encode: (tx) => tx.subarray(1),\n        decode: (tx) => concatBytes(Uint8Array.of(0x02), tx),\n    },\n    adjustDKG: (k) => {\n        // Compatibility with frost-secp256k1-tr: DKG output is auto-tweaked with the\n        // empty Taproot merkle root, while dealer-generated keys stay untweaked.\n        const merkleRoot = new Uint8Array(0);\n        return {\n            public: frostTweakPublic(k.public, merkleRoot),\n            secret: frostTweakSecret(k.secret, k.public, merkleRoot),\n        };\n    },\n}))();\n",null,null,null,null,null,null,null,null,null,null,null,"function RetryOperation(timeouts, options) {\n  // Compatibility for the old (timeouts, retryForever) signature\n  if (typeof options === 'boolean') {\n    options = { forever: options };\n  }\n\n  this._originalTimeouts = JSON.parse(JSON.stringify(timeouts));\n  this._timeouts = timeouts;\n  this._options = options || {};\n  this._maxRetryTime = options && options.maxRetryTime || Infinity;\n  this._fn = null;\n  this._errors = [];\n  this._attempts = 1;\n  this._operationTimeout = null;\n  this._operationTimeoutCb = null;\n  this._timeout = null;\n  this._operationStart = null;\n  this._timer = null;\n\n  if (this._options.forever) {\n    this._cachedTimeouts = this._timeouts.slice(0);\n  }\n}\nmodule.exports = RetryOperation;\n\nRetryOperation.prototype.reset = function() {\n  this._attempts = 1;\n  this._timeouts = this._originalTimeouts.slice(0);\n}\n\nRetryOperation.prototype.stop = function() {\n  if (this._timeout) {\n    clearTimeout(this._timeout);\n  }\n  if (this._timer) {\n    clearTimeout(this._timer);\n  }\n\n  this._timeouts       = [];\n  this._cachedTimeouts = null;\n};\n\nRetryOperation.prototype.retry = function(err) {\n  if (this._timeout) {\n    clearTimeout(this._timeout);\n  }\n\n  if (!err) {\n    return false;\n  }\n  var currentTime = new Date().getTime();\n  if (err && currentTime - this._operationStart >= this._maxRetryTime) {\n    this._errors.push(err);\n    this._errors.unshift(new Error('RetryOperation timeout occurred'));\n    return false;\n  }\n\n  this._errors.push(err);\n\n  var timeout = this._timeouts.shift();\n  if (timeout === undefined) {\n    if (this._cachedTimeouts) {\n      // retry forever, only keep last error\n      this._errors.splice(0, this._errors.length - 1);\n      timeout = this._cachedTimeouts.slice(-1);\n    } else {\n      return false;\n    }\n  }\n\n  var self = this;\n  this._timer = setTimeout(function() {\n    self._attempts++;\n\n    if (self._operationTimeoutCb) {\n      self._timeout = setTimeout(function() {\n        self._operationTimeoutCb(self._attempts);\n      }, self._operationTimeout);\n\n      if (self._options.unref) {\n          self._timeout.unref();\n      }\n    }\n\n    self._fn(self._attempts);\n  }, timeout);\n\n  if (this._options.unref) {\n      this._timer.unref();\n  }\n\n  return true;\n};\n\nRetryOperation.prototype.attempt = function(fn, timeoutOps) {\n  this._fn = fn;\n\n  if (timeoutOps) {\n    if (timeoutOps.timeout) {\n      this._operationTimeout = timeoutOps.timeout;\n    }\n    if (timeoutOps.cb) {\n      this._operationTimeoutCb = timeoutOps.cb;\n    }\n  }\n\n  var self = this;\n  if (this._operationTimeoutCb) {\n    this._timeout = setTimeout(function() {\n      self._operationTimeoutCb();\n    }, self._operationTimeout);\n  }\n\n  this._operationStart = new Date().getTime();\n\n  this._fn(this._attempts);\n};\n\nRetryOperation.prototype.try = function(fn) {\n  console.log('Using RetryOperation.try() is deprecated');\n  this.attempt(fn);\n};\n\nRetryOperation.prototype.start = function(fn) {\n  console.log('Using RetryOperation.start() is deprecated');\n  this.attempt(fn);\n};\n\nRetryOperation.prototype.start = RetryOperation.prototype.try;\n\nRetryOperation.prototype.errors = function() {\n  return this._errors;\n};\n\nRetryOperation.prototype.attempts = function() {\n  return this._attempts;\n};\n\nRetryOperation.prototype.mainError = function() {\n  if (this._errors.length === 0) {\n    return null;\n  }\n\n  var counts = {};\n  var mainError = null;\n  var mainErrorCount = 0;\n\n  for (var i = 0; i < this._errors.length; i++) {\n    var error = this._errors[i];\n    var message = error.message;\n    var count = (counts[message] || 0) + 1;\n\n    counts[message] = count;\n\n    if (count >= mainErrorCount) {\n      mainError = error;\n      mainErrorCount = count;\n    }\n  }\n\n  return mainError;\n};\n","var RetryOperation = require('./retry_operation');\n\nexports.operation = function(options) {\n  var timeouts = exports.timeouts(options);\n  return new RetryOperation(timeouts, {\n      forever: options && (options.forever || options.retries === Infinity),\n      unref: options && options.unref,\n      maxRetryTime: options && options.maxRetryTime\n  });\n};\n\nexports.timeouts = function(options) {\n  if (options instanceof Array) {\n    return [].concat(options);\n  }\n\n  var opts = {\n    retries: 10,\n    factor: 2,\n    minTimeout: 1 * 1000,\n    maxTimeout: Infinity,\n    randomize: false\n  };\n  for (var key in options) {\n    opts[key] = options[key];\n  }\n\n  if (opts.minTimeout > opts.maxTimeout) {\n    throw new Error('minTimeout is greater than maxTimeout');\n  }\n\n  var timeouts = [];\n  for (var i = 0; i < opts.retries; i++) {\n    timeouts.push(this.createTimeout(i, opts));\n  }\n\n  if (options && options.forever && !timeouts.length) {\n    timeouts.push(this.createTimeout(i, opts));\n  }\n\n  // sort the array numerically ascending\n  timeouts.sort(function(a,b) {\n    return a - b;\n  });\n\n  return timeouts;\n};\n\nexports.createTimeout = function(attempt, opts) {\n  var random = (opts.randomize)\n    ? (Math.random() + 1)\n    : 1;\n\n  var timeout = Math.round(random * Math.max(opts.minTimeout, 1) * Math.pow(opts.factor, attempt));\n  timeout = Math.min(timeout, opts.maxTimeout);\n\n  return timeout;\n};\n\nexports.wrap = function(obj, options, methods) {\n  if (options instanceof Array) {\n    methods = options;\n    options = null;\n  }\n\n  if (!methods) {\n    methods = [];\n    for (var key in obj) {\n      if (typeof obj[key] === 'function') {\n        methods.push(key);\n      }\n    }\n  }\n\n  for (var i = 0; i < methods.length; i++) {\n    var method   = methods[i];\n    var original = obj[method];\n\n    obj[method] = function retryWrapper(original) {\n      var op       = exports.operation(options);\n      var args     = Array.prototype.slice.call(arguments, 1);\n      var callback = args.pop();\n\n      args.push(function(err) {\n        if (op.retry(err)) {\n          return;\n        }\n        if (err) {\n          arguments[0] = op.mainError();\n        }\n        callback.apply(this, arguments);\n      });\n\n      op.attempt(function() {\n        original.apply(obj, args);\n      });\n    }.bind(obj, original);\n    obj[method].options = options;\n  }\n};\n","module.exports = require('./lib/retry');",null,null,null,"/*\r\n Copyright 2013 Daniel Wirtz <dcode@dcode.io>\r\n Copyright 2009 The Closure Library Authors. All Rights Reserved.\r\n\r\n Licensed under the Apache License, Version 2.0 (the \"License\");\r\n you may not use this file except in compliance with the License.\r\n You may obtain a copy of the License at\r\n\r\n http://www.apache.org/licenses/LICENSE-2.0\r\n\r\n Unless required by applicable law or agreed to in writing, software\r\n distributed under the License is distributed on an \"AS-IS\" BASIS,\r\n WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\r\n See the License for the specific language governing permissions and\r\n limitations under the License.\r\n */\r\n\r\n/**\r\n * @license long.js (c) 2013 Daniel Wirtz <dcode@dcode.io>\r\n * Released under the Apache License, Version 2.0\r\n * see: https://github.com/dcodeIO/long.js for details\r\n */\r\n(function(global, factory) {\r\n\r\n    /* AMD */ if (typeof define === 'function' && define[\"amd\"])\r\n        define([], factory);\r\n    /* CommonJS */ else if (typeof require === 'function' && typeof module === \"object\" && module && module[\"exports\"])\r\n        module[\"exports\"] = factory();\r\n    /* Global */ else\r\n        (global[\"dcodeIO\"] = global[\"dcodeIO\"] || {})[\"Long\"] = factory();\r\n\r\n})(this, function() {\r\n    \"use strict\";\r\n\r\n    /**\r\n     * Constructs a 64 bit two's-complement integer, given its low and high 32 bit values as *signed* integers.\r\n     *  See the from* functions below for more convenient ways of constructing Longs.\r\n     * @exports Long\r\n     * @class A Long class for representing a 64 bit two's-complement integer value.\r\n     * @param {number} low The low (signed) 32 bits of the long\r\n     * @param {number} high The high (signed) 32 bits of the long\r\n     * @param {boolean=} unsigned Whether unsigned or not, defaults to `false` for signed\r\n     * @constructor\r\n     */\r\n    function Long(low, high, unsigned) {\r\n\r\n        /**\r\n         * The low 32 bits as a signed value.\r\n         * @type {number}\r\n         */\r\n        this.low = low | 0;\r\n\r\n        /**\r\n         * The high 32 bits as a signed value.\r\n         * @type {number}\r\n         */\r\n        this.high = high | 0;\r\n\r\n        /**\r\n         * Whether unsigned or not.\r\n         * @type {boolean}\r\n         */\r\n        this.unsigned = !!unsigned;\r\n    }\r\n\r\n    // The internal representation of a long is the two given signed, 32-bit values.\r\n    // We use 32-bit pieces because these are the size of integers on which\r\n    // Javascript performs bit-operations.  For operations like addition and\r\n    // multiplication, we split each number into 16 bit pieces, which can easily be\r\n    // multiplied within Javascript's floating-point representation without overflow\r\n    // or change in sign.\r\n    //\r\n    // In the algorithms below, we frequently reduce the negative case to the\r\n    // positive case by negating the input(s) and then post-processing the result.\r\n    // Note that we must ALWAYS check specially whether those values are MIN_VALUE\r\n    // (-2^63) because -MIN_VALUE == MIN_VALUE (since 2^63 cannot be represented as\r\n    // a positive number, it overflows back into a negative).  Not handling this\r\n    // case would often result in infinite recursion.\r\n    //\r\n    // Common constant values ZERO, ONE, NEG_ONE, etc. are defined below the from*\r\n    // methods on which they depend.\r\n\r\n    /**\r\n     * An indicator used to reliably determine if an object is a Long or not.\r\n     * @type {boolean}\r\n     * @const\r\n     * @private\r\n     */\r\n    Long.prototype.__isLong__;\r\n\r\n    Object.defineProperty(Long.prototype, \"__isLong__\", {\r\n        value: true,\r\n        enumerable: false,\r\n        configurable: false\r\n    });\r\n\r\n    /**\r\n     * @function\r\n     * @param {*} obj Object\r\n     * @returns {boolean}\r\n     * @inner\r\n     */\r\n    function isLong(obj) {\r\n        return (obj && obj[\"__isLong__\"]) === true;\r\n    }\r\n\r\n    /**\r\n     * Tests if the specified object is a Long.\r\n     * @function\r\n     * @param {*} obj Object\r\n     * @returns {boolean}\r\n     */\r\n    Long.isLong = isLong;\r\n\r\n    /**\r\n     * A cache of the Long representations of small integer values.\r\n     * @type {!Object}\r\n     * @inner\r\n     */\r\n    var INT_CACHE = {};\r\n\r\n    /**\r\n     * A cache of the Long representations of small unsigned integer values.\r\n     * @type {!Object}\r\n     * @inner\r\n     */\r\n    var UINT_CACHE = {};\r\n\r\n    /**\r\n     * @param {number} value\r\n     * @param {boolean=} unsigned\r\n     * @returns {!Long}\r\n     * @inner\r\n     */\r\n    function fromInt(value, unsigned) {\r\n        var obj, cachedObj, cache;\r\n        if (unsigned) {\r\n            value >>>= 0;\r\n            if (cache = (0 <= value && value < 256)) {\r\n                cachedObj = UINT_CACHE[value];\r\n                if (cachedObj)\r\n                    return cachedObj;\r\n            }\r\n            obj = fromBits(value, (value | 0) < 0 ? -1 : 0, true);\r\n            if (cache)\r\n                UINT_CACHE[value] = obj;\r\n            return obj;\r\n        } else {\r\n            value |= 0;\r\n            if (cache = (-128 <= value && value < 128)) {\r\n                cachedObj = INT_CACHE[value];\r\n                if (cachedObj)\r\n                    return cachedObj;\r\n            }\r\n            obj = fromBits(value, value < 0 ? -1 : 0, false);\r\n            if (cache)\r\n                INT_CACHE[value] = obj;\r\n            return obj;\r\n        }\r\n    }\r\n\r\n    /**\r\n     * Returns a Long representing the given 32 bit integer value.\r\n     * @function\r\n     * @param {number} value The 32 bit integer in question\r\n     * @param {boolean=} unsigned Whether unsigned or not, defaults to `false` for signed\r\n     * @returns {!Long} The corresponding Long value\r\n     */\r\n    Long.fromInt = fromInt;\r\n\r\n    /**\r\n     * @param {number} value\r\n     * @param {boolean=} unsigned\r\n     * @returns {!Long}\r\n     * @inner\r\n     */\r\n    function fromNumber(value, unsigned) {\r\n        if (isNaN(value) || !isFinite(value))\r\n            return unsigned ? UZERO : ZERO;\r\n        if (unsigned) {\r\n            if (value < 0)\r\n                return UZERO;\r\n            if (value >= TWO_PWR_64_DBL)\r\n                return MAX_UNSIGNED_VALUE;\r\n        } else {\r\n            if (value <= -TWO_PWR_63_DBL)\r\n                return MIN_VALUE;\r\n            if (value + 1 >= TWO_PWR_63_DBL)\r\n                return MAX_VALUE;\r\n        }\r\n        if (value < 0)\r\n            return fromNumber(-value, unsigned).neg();\r\n        return fromBits((value % TWO_PWR_32_DBL) | 0, (value / TWO_PWR_32_DBL) | 0, unsigned);\r\n    }\r\n\r\n    /**\r\n     * Returns a Long representing the given value, provided that it is a finite number. Otherwise, zero is returned.\r\n     * @function\r\n     * @param {number} value The number in question\r\n     * @param {boolean=} unsigned Whether unsigned or not, defaults to `false` for signed\r\n     * @returns {!Long} The corresponding Long value\r\n     */\r\n    Long.fromNumber = fromNumber;\r\n\r\n    /**\r\n     * @param {number} lowBits\r\n     * @param {number} highBits\r\n     * @param {boolean=} unsigned\r\n     * @returns {!Long}\r\n     * @inner\r\n     */\r\n    function fromBits(lowBits, highBits, unsigned) {\r\n        return new Long(lowBits, highBits, unsigned);\r\n    }\r\n\r\n    /**\r\n     * Returns a Long representing the 64 bit integer that comes by concatenating the given low and high bits. Each is\r\n     *  assumed to use 32 bits.\r\n     * @function\r\n     * @param {number} lowBits The low 32 bits\r\n     * @param {number} highBits The high 32 bits\r\n     * @param {boolean=} unsigned Whether unsigned or not, defaults to `false` for signed\r\n     * @returns {!Long} The corresponding Long value\r\n     */\r\n    Long.fromBits = fromBits;\r\n\r\n    /**\r\n     * @function\r\n     * @param {number} base\r\n     * @param {number} exponent\r\n     * @returns {number}\r\n     * @inner\r\n     */\r\n    var pow_dbl = Math.pow; // Used 4 times (4*8 to 15+4)\r\n\r\n    /**\r\n     * @param {string} str\r\n     * @param {(boolean|number)=} unsigned\r\n     * @param {number=} radix\r\n     * @returns {!Long}\r\n     * @inner\r\n     */\r\n    function fromString(str, unsigned, radix) {\r\n        if (str.length === 0)\r\n            throw Error('empty string');\r\n        if (str === \"NaN\" || str === \"Infinity\" || str === \"+Infinity\" || str === \"-Infinity\")\r\n            return ZERO;\r\n        if (typeof unsigned === 'number') {\r\n            // For goog.math.long compatibility\r\n            radix = unsigned,\r\n            unsigned = false;\r\n        } else {\r\n            unsigned = !! unsigned;\r\n        }\r\n        radix = radix || 10;\r\n        if (radix < 2 || 36 < radix)\r\n            throw RangeError('radix');\r\n\r\n        var p;\r\n        if ((p = str.indexOf('-')) > 0)\r\n            throw Error('interior hyphen');\r\n        else if (p === 0) {\r\n            return fromString(str.substring(1), unsigned, radix).neg();\r\n        }\r\n\r\n        // Do several (8) digits each time through the loop, so as to\r\n        // minimize the calls to the very expensive emulated div.\r\n        var radixToPower = fromNumber(pow_dbl(radix, 8));\r\n\r\n        var result = ZERO;\r\n        for (var i = 0; i < str.length; i += 8) {\r\n            var size = Math.min(8, str.length - i),\r\n                value = parseInt(str.substring(i, i + size), radix);\r\n            if (size < 8) {\r\n                var power = fromNumber(pow_dbl(radix, size));\r\n                result = result.mul(power).add(fromNumber(value));\r\n            } else {\r\n                result = result.mul(radixToPower);\r\n                result = result.add(fromNumber(value));\r\n            }\r\n        }\r\n        result.unsigned = unsigned;\r\n        return result;\r\n    }\r\n\r\n    /**\r\n     * Returns a Long representation of the given string, written using the specified radix.\r\n     * @function\r\n     * @param {string} str The textual representation of the Long\r\n     * @param {(boolean|number)=} unsigned Whether unsigned or not, defaults to `false` for signed\r\n     * @param {number=} radix The radix in which the text is written (2-36), defaults to 10\r\n     * @returns {!Long} The corresponding Long value\r\n     */\r\n    Long.fromString = fromString;\r\n\r\n    /**\r\n     * @function\r\n     * @param {!Long|number|string|!{low: number, high: number, unsigned: boolean}} val\r\n     * @returns {!Long}\r\n     * @inner\r\n     */\r\n    function fromValue(val) {\r\n        if (val /* is compatible */ instanceof Long)\r\n            return val;\r\n        if (typeof val === 'number')\r\n            return fromNumber(val);\r\n        if (typeof val === 'string')\r\n            return fromString(val);\r\n        // Throws for non-objects, converts non-instanceof Long:\r\n        return fromBits(val.low, val.high, val.unsigned);\r\n    }\r\n\r\n    /**\r\n     * Converts the specified value to a Long.\r\n     * @function\r\n     * @param {!Long|number|string|!{low: number, high: number, unsigned: boolean}} val Value\r\n     * @returns {!Long}\r\n     */\r\n    Long.fromValue = fromValue;\r\n\r\n    // NOTE: the compiler should inline these constant values below and then remove these variables, so there should be\r\n    // no runtime penalty for these.\r\n\r\n    /**\r\n     * @type {number}\r\n     * @const\r\n     * @inner\r\n     */\r\n    var TWO_PWR_16_DBL = 1 << 16;\r\n\r\n    /**\r\n     * @type {number}\r\n     * @const\r\n     * @inner\r\n     */\r\n    var TWO_PWR_24_DBL = 1 << 24;\r\n\r\n    /**\r\n     * @type {number}\r\n     * @const\r\n     * @inner\r\n     */\r\n    var TWO_PWR_32_DBL = TWO_PWR_16_DBL * TWO_PWR_16_DBL;\r\n\r\n    /**\r\n     * @type {number}\r\n     * @const\r\n     * @inner\r\n     */\r\n    var TWO_PWR_64_DBL = TWO_PWR_32_DBL * TWO_PWR_32_DBL;\r\n\r\n    /**\r\n     * @type {number}\r\n     * @const\r\n     * @inner\r\n     */\r\n    var TWO_PWR_63_DBL = TWO_PWR_64_DBL / 2;\r\n\r\n    /**\r\n     * @type {!Long}\r\n     * @const\r\n     * @inner\r\n     */\r\n    var TWO_PWR_24 = fromInt(TWO_PWR_24_DBL);\r\n\r\n    /**\r\n     * @type {!Long}\r\n     * @inner\r\n     */\r\n    var ZERO = fromInt(0);\r\n\r\n    /**\r\n     * Signed zero.\r\n     * @type {!Long}\r\n     */\r\n    Long.ZERO = ZERO;\r\n\r\n    /**\r\n     * @type {!Long}\r\n     * @inner\r\n     */\r\n    var UZERO = fromInt(0, true);\r\n\r\n    /**\r\n     * Unsigned zero.\r\n     * @type {!Long}\r\n     */\r\n    Long.UZERO = UZERO;\r\n\r\n    /**\r\n     * @type {!Long}\r\n     * @inner\r\n     */\r\n    var ONE = fromInt(1);\r\n\r\n    /**\r\n     * Signed one.\r\n     * @type {!Long}\r\n     */\r\n    Long.ONE = ONE;\r\n\r\n    /**\r\n     * @type {!Long}\r\n     * @inner\r\n     */\r\n    var UONE = fromInt(1, true);\r\n\r\n    /**\r\n     * Unsigned one.\r\n     * @type {!Long}\r\n     */\r\n    Long.UONE = UONE;\r\n\r\n    /**\r\n     * @type {!Long}\r\n     * @inner\r\n     */\r\n    var NEG_ONE = fromInt(-1);\r\n\r\n    /**\r\n     * Signed negative one.\r\n     * @type {!Long}\r\n     */\r\n    Long.NEG_ONE = NEG_ONE;\r\n\r\n    /**\r\n     * @type {!Long}\r\n     * @inner\r\n     */\r\n    var MAX_VALUE = fromBits(0xFFFFFFFF|0, 0x7FFFFFFF|0, false);\r\n\r\n    /**\r\n     * Maximum signed value.\r\n     * @type {!Long}\r\n     */\r\n    Long.MAX_VALUE = MAX_VALUE;\r\n\r\n    /**\r\n     * @type {!Long}\r\n     * @inner\r\n     */\r\n    var MAX_UNSIGNED_VALUE = fromBits(0xFFFFFFFF|0, 0xFFFFFFFF|0, true);\r\n\r\n    /**\r\n     * Maximum unsigned value.\r\n     * @type {!Long}\r\n     */\r\n    Long.MAX_UNSIGNED_VALUE = MAX_UNSIGNED_VALUE;\r\n\r\n    /**\r\n     * @type {!Long}\r\n     * @inner\r\n     */\r\n    var MIN_VALUE = fromBits(0, 0x80000000|0, false);\r\n\r\n    /**\r\n     * Minimum signed value.\r\n     * @type {!Long}\r\n     */\r\n    Long.MIN_VALUE = MIN_VALUE;\r\n\r\n    /**\r\n     * @alias Long.prototype\r\n     * @inner\r\n     */\r\n    var LongPrototype = Long.prototype;\r\n\r\n    /**\r\n     * Converts the Long to a 32 bit integer, assuming it is a 32 bit integer.\r\n     * @returns {number}\r\n     */\r\n    LongPrototype.toInt = function toInt() {\r\n        return this.unsigned ? this.low >>> 0 : this.low;\r\n    };\r\n\r\n    /**\r\n     * Converts the Long to a the nearest floating-point representation of this value (double, 53 bit mantissa).\r\n     * @returns {number}\r\n     */\r\n    LongPrototype.toNumber = function toNumber() {\r\n        if (this.unsigned)\r\n            return ((this.high >>> 0) * TWO_PWR_32_DBL) + (this.low >>> 0);\r\n        return this.high * TWO_PWR_32_DBL + (this.low >>> 0);\r\n    };\r\n\r\n    /**\r\n     * Converts the Long to a string written in the specified radix.\r\n     * @param {number=} radix Radix (2-36), defaults to 10\r\n     * @returns {string}\r\n     * @override\r\n     * @throws {RangeError} If `radix` is out of range\r\n     */\r\n    LongPrototype.toString = function toString(radix) {\r\n        radix = radix || 10;\r\n        if (radix < 2 || 36 < radix)\r\n            throw RangeError('radix');\r\n        if (this.isZero())\r\n            return '0';\r\n        if (this.isNegative()) { // Unsigned Longs are never negative\r\n            if (this.eq(MIN_VALUE)) {\r\n                // We need to change the Long value before it can be negated, so we remove\r\n                // the bottom-most digit in this base and then recurse to do the rest.\r\n                var radixLong = fromNumber(radix),\r\n                    div = this.div(radixLong),\r\n                    rem1 = div.mul(radixLong).sub(this);\r\n                return div.toString(radix) + rem1.toInt().toString(radix);\r\n            } else\r\n                return '-' + this.neg().toString(radix);\r\n        }\r\n\r\n        // Do several (6) digits each time through the loop, so as to\r\n        // minimize the calls to the very expensive emulated div.\r\n        var radixToPower = fromNumber(pow_dbl(radix, 6), this.unsigned),\r\n            rem = this;\r\n        var result = '';\r\n        while (true) {\r\n            var remDiv = rem.div(radixToPower),\r\n                intval = rem.sub(remDiv.mul(radixToPower)).toInt() >>> 0,\r\n                digits = intval.toString(radix);\r\n            rem = remDiv;\r\n            if (rem.isZero())\r\n                return digits + result;\r\n            else {\r\n                while (digits.length < 6)\r\n                    digits = '0' + digits;\r\n                result = '' + digits + result;\r\n            }\r\n        }\r\n    };\r\n\r\n    /**\r\n     * Gets the high 32 bits as a signed integer.\r\n     * @returns {number} Signed high bits\r\n     */\r\n    LongPrototype.getHighBits = function getHighBits() {\r\n        return this.high;\r\n    };\r\n\r\n    /**\r\n     * Gets the high 32 bits as an unsigned integer.\r\n     * @returns {number} Unsigned high bits\r\n     */\r\n    LongPrototype.getHighBitsUnsigned = function getHighBitsUnsigned() {\r\n        return this.high >>> 0;\r\n    };\r\n\r\n    /**\r\n     * Gets the low 32 bits as a signed integer.\r\n     * @returns {number} Signed low bits\r\n     */\r\n    LongPrototype.getLowBits = function getLowBits() {\r\n        return this.low;\r\n    };\r\n\r\n    /**\r\n     * Gets the low 32 bits as an unsigned integer.\r\n     * @returns {number} Unsigned low bits\r\n     */\r\n    LongPrototype.getLowBitsUnsigned = function getLowBitsUnsigned() {\r\n        return this.low >>> 0;\r\n    };\r\n\r\n    /**\r\n     * Gets the number of bits needed to represent the absolute value of this Long.\r\n     * @returns {number}\r\n     */\r\n    LongPrototype.getNumBitsAbs = function getNumBitsAbs() {\r\n        if (this.isNegative()) // Unsigned Longs are never negative\r\n            return this.eq(MIN_VALUE) ? 64 : this.neg().getNumBitsAbs();\r\n        var val = this.high != 0 ? this.high : this.low;\r\n        for (var bit = 31; bit > 0; bit--)\r\n            if ((val & (1 << bit)) != 0)\r\n                break;\r\n        return this.high != 0 ? bit + 33 : bit + 1;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value equals zero.\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.isZero = function isZero() {\r\n        return this.high === 0 && this.low === 0;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value is negative.\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.isNegative = function isNegative() {\r\n        return !this.unsigned && this.high < 0;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value is positive.\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.isPositive = function isPositive() {\r\n        return this.unsigned || this.high >= 0;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value is odd.\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.isOdd = function isOdd() {\r\n        return (this.low & 1) === 1;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value is even.\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.isEven = function isEven() {\r\n        return (this.low & 1) === 0;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value equals the specified's.\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.equals = function equals(other) {\r\n        if (!isLong(other))\r\n            other = fromValue(other);\r\n        if (this.unsigned !== other.unsigned && (this.high >>> 31) === 1 && (other.high >>> 31) === 1)\r\n            return false;\r\n        return this.high === other.high && this.low === other.low;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value equals the specified's. This is an alias of {@link Long#equals}.\r\n     * @function\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.eq = LongPrototype.equals;\r\n\r\n    /**\r\n     * Tests if this Long's value differs from the specified's.\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.notEquals = function notEquals(other) {\r\n        return !this.eq(/* validates */ other);\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value differs from the specified's. This is an alias of {@link Long#notEquals}.\r\n     * @function\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.neq = LongPrototype.notEquals;\r\n\r\n    /**\r\n     * Tests if this Long's value is less than the specified's.\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.lessThan = function lessThan(other) {\r\n        return this.comp(/* validates */ other) < 0;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value is less than the specified's. This is an alias of {@link Long#lessThan}.\r\n     * @function\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.lt = LongPrototype.lessThan;\r\n\r\n    /**\r\n     * Tests if this Long's value is less than or equal the specified's.\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.lessThanOrEqual = function lessThanOrEqual(other) {\r\n        return this.comp(/* validates */ other) <= 0;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value is less than or equal the specified's. This is an alias of {@link Long#lessThanOrEqual}.\r\n     * @function\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.lte = LongPrototype.lessThanOrEqual;\r\n\r\n    /**\r\n     * Tests if this Long's value is greater than the specified's.\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.greaterThan = function greaterThan(other) {\r\n        return this.comp(/* validates */ other) > 0;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value is greater than the specified's. This is an alias of {@link Long#greaterThan}.\r\n     * @function\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.gt = LongPrototype.greaterThan;\r\n\r\n    /**\r\n     * Tests if this Long's value is greater than or equal the specified's.\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.greaterThanOrEqual = function greaterThanOrEqual(other) {\r\n        return this.comp(/* validates */ other) >= 0;\r\n    };\r\n\r\n    /**\r\n     * Tests if this Long's value is greater than or equal the specified's. This is an alias of {@link Long#greaterThanOrEqual}.\r\n     * @function\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {boolean}\r\n     */\r\n    LongPrototype.gte = LongPrototype.greaterThanOrEqual;\r\n\r\n    /**\r\n     * Compares this Long's value with the specified's.\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {number} 0 if they are the same, 1 if the this is greater and -1\r\n     *  if the given one is greater\r\n     */\r\n    LongPrototype.compare = function compare(other) {\r\n        if (!isLong(other))\r\n            other = fromValue(other);\r\n        if (this.eq(other))\r\n            return 0;\r\n        var thisNeg = this.isNegative(),\r\n            otherNeg = other.isNegative();\r\n        if (thisNeg && !otherNeg)\r\n            return -1;\r\n        if (!thisNeg && otherNeg)\r\n            return 1;\r\n        // At this point the sign bits are the same\r\n        if (!this.unsigned)\r\n            return this.sub(other).isNegative() ? -1 : 1;\r\n        // Both are positive if at least one is unsigned\r\n        return (other.high >>> 0) > (this.high >>> 0) || (other.high === this.high && (other.low >>> 0) > (this.low >>> 0)) ? -1 : 1;\r\n    };\r\n\r\n    /**\r\n     * Compares this Long's value with the specified's. This is an alias of {@link Long#compare}.\r\n     * @function\r\n     * @param {!Long|number|string} other Other value\r\n     * @returns {number} 0 if they are the same, 1 if the this is greater and -1\r\n     *  if the given one is greater\r\n     */\r\n    LongPrototype.comp = LongPrototype.compare;\r\n\r\n    /**\r\n     * Negates this Long's value.\r\n     * @returns {!Long} Negated Long\r\n     */\r\n    LongPrototype.negate = function negate() {\r\n        if (!this.unsigned && this.eq(MIN_VALUE))\r\n            return MIN_VALUE;\r\n        return this.not().add(ONE);\r\n    };\r\n\r\n    /**\r\n     * Negates this Long's value. This is an alias of {@link Long#negate}.\r\n     * @function\r\n     * @returns {!Long} Negated Long\r\n     */\r\n    LongPrototype.neg = LongPrototype.negate;\r\n\r\n    /**\r\n     * Returns the sum of this and the specified Long.\r\n     * @param {!Long|number|string} addend Addend\r\n     * @returns {!Long} Sum\r\n     */\r\n    LongPrototype.add = function add(addend) {\r\n        if (!isLong(addend))\r\n            addend = fromValue(addend);\r\n\r\n        // Divide each number into 4 chunks of 16 bits, and then sum the chunks.\r\n\r\n        var a48 = this.high >>> 16;\r\n        var a32 = this.high & 0xFFFF;\r\n        var a16 = this.low >>> 16;\r\n        var a00 = this.low & 0xFFFF;\r\n\r\n        var b48 = addend.high >>> 16;\r\n        var b32 = addend.high & 0xFFFF;\r\n        var b16 = addend.low >>> 16;\r\n        var b00 = addend.low & 0xFFFF;\r\n\r\n        var c48 = 0, c32 = 0, c16 = 0, c00 = 0;\r\n        c00 += a00 + b00;\r\n        c16 += c00 >>> 16;\r\n        c00 &= 0xFFFF;\r\n        c16 += a16 + b16;\r\n        c32 += c16 >>> 16;\r\n        c16 &= 0xFFFF;\r\n        c32 += a32 + b32;\r\n        c48 += c32 >>> 16;\r\n        c32 &= 0xFFFF;\r\n        c48 += a48 + b48;\r\n        c48 &= 0xFFFF;\r\n        return fromBits((c16 << 16) | c00, (c48 << 16) | c32, this.unsigned);\r\n    };\r\n\r\n    /**\r\n     * Returns the difference of this and the specified Long.\r\n     * @param {!Long|number|string} subtrahend Subtrahend\r\n     * @returns {!Long} Difference\r\n     */\r\n    LongPrototype.subtract = function subtract(subtrahend) {\r\n        if (!isLong(subtrahend))\r\n            subtrahend = fromValue(subtrahend);\r\n        return this.add(subtrahend.neg());\r\n    };\r\n\r\n    /**\r\n     * Returns the difference of this and the specified Long. This is an alias of {@link Long#subtract}.\r\n     * @function\r\n     * @param {!Long|number|string} subtrahend Subtrahend\r\n     * @returns {!Long} Difference\r\n     */\r\n    LongPrototype.sub = LongPrototype.subtract;\r\n\r\n    /**\r\n     * Returns the product of this and the specified Long.\r\n     * @param {!Long|number|string} multiplier Multiplier\r\n     * @returns {!Long} Product\r\n     */\r\n    LongPrototype.multiply = function multiply(multiplier) {\r\n        if (this.isZero())\r\n            return ZERO;\r\n        if (!isLong(multiplier))\r\n            multiplier = fromValue(multiplier);\r\n        if (multiplier.isZero())\r\n            return ZERO;\r\n        if (this.eq(MIN_VALUE))\r\n            return multiplier.isOdd() ? MIN_VALUE : ZERO;\r\n        if (multiplier.eq(MIN_VALUE))\r\n            return this.isOdd() ? MIN_VALUE : ZERO;\r\n\r\n        if (this.isNegative()) {\r\n            if (multiplier.isNegative())\r\n                return this.neg().mul(multiplier.neg());\r\n            else\r\n                return this.neg().mul(multiplier).neg();\r\n        } else if (multiplier.isNegative())\r\n            return this.mul(multiplier.neg()).neg();\r\n\r\n        // If both longs are small, use float multiplication\r\n        if (this.lt(TWO_PWR_24) && multiplier.lt(TWO_PWR_24))\r\n            return fromNumber(this.toNumber() * multiplier.toNumber(), this.unsigned);\r\n\r\n        // Divide each long into 4 chunks of 16 bits, and then add up 4x4 products.\r\n        // We can skip products that would overflow.\r\n\r\n        var a48 = this.high >>> 16;\r\n        var a32 = this.high & 0xFFFF;\r\n        var a16 = this.low >>> 16;\r\n        var a00 = this.low & 0xFFFF;\r\n\r\n        var b48 = multiplier.high >>> 16;\r\n        var b32 = multiplier.high & 0xFFFF;\r\n        var b16 = multiplier.low >>> 16;\r\n        var b00 = multiplier.low & 0xFFFF;\r\n\r\n        var c48 = 0, c32 = 0, c16 = 0, c00 = 0;\r\n        c00 += a00 * b00;\r\n        c16 += c00 >>> 16;\r\n        c00 &= 0xFFFF;\r\n        c16 += a16 * b00;\r\n        c32 += c16 >>> 16;\r\n        c16 &= 0xFFFF;\r\n        c16 += a00 * b16;\r\n        c32 += c16 >>> 16;\r\n        c16 &= 0xFFFF;\r\n        c32 += a32 * b00;\r\n        c48 += c32 >>> 16;\r\n        c32 &= 0xFFFF;\r\n        c32 += a16 * b16;\r\n        c48 += c32 >>> 16;\r\n        c32 &= 0xFFFF;\r\n        c32 += a00 * b32;\r\n        c48 += c32 >>> 16;\r\n        c32 &= 0xFFFF;\r\n        c48 += a48 * b00 + a32 * b16 + a16 * b32 + a00 * b48;\r\n        c48 &= 0xFFFF;\r\n        return fromBits((c16 << 16) | c00, (c48 << 16) | c32, this.unsigned);\r\n    };\r\n\r\n    /**\r\n     * Returns the product of this and the specified Long. This is an alias of {@link Long#multiply}.\r\n     * @function\r\n     * @param {!Long|number|string} multiplier Multiplier\r\n     * @returns {!Long} Product\r\n     */\r\n    LongPrototype.mul = LongPrototype.multiply;\r\n\r\n    /**\r\n     * Returns this Long divided by the specified. The result is signed if this Long is signed or\r\n     *  unsigned if this Long is unsigned.\r\n     * @param {!Long|number|string} divisor Divisor\r\n     * @returns {!Long} Quotient\r\n     */\r\n    LongPrototype.divide = function divide(divisor) {\r\n        if (!isLong(divisor))\r\n            divisor = fromValue(divisor);\r\n        if (divisor.isZero())\r\n            throw Error('division by zero');\r\n        if (this.isZero())\r\n            return this.unsigned ? UZERO : ZERO;\r\n        var approx, rem, res;\r\n        if (!this.unsigned) {\r\n            // This section is only relevant for signed longs and is derived from the\r\n            // closure library as a whole.\r\n            if (this.eq(MIN_VALUE)) {\r\n                if (divisor.eq(ONE) || divisor.eq(NEG_ONE))\r\n                    return MIN_VALUE;  // recall that -MIN_VALUE == MIN_VALUE\r\n                else if (divisor.eq(MIN_VALUE))\r\n                    return ONE;\r\n                else {\r\n                    // At this point, we have |other| >= 2, so |this/other| < |MIN_VALUE|.\r\n                    var halfThis = this.shr(1);\r\n                    approx = halfThis.div(divisor).shl(1);\r\n                    if (approx.eq(ZERO)) {\r\n                        return divisor.isNegative() ? ONE : NEG_ONE;\r\n                    } else {\r\n                        rem = this.sub(divisor.mul(approx));\r\n                        res = approx.add(rem.div(divisor));\r\n                        return res;\r\n                    }\r\n                }\r\n            } else if (divisor.eq(MIN_VALUE))\r\n                return this.unsigned ? UZERO : ZERO;\r\n            if (this.isNegative()) {\r\n                if (divisor.isNegative())\r\n                    return this.neg().div(divisor.neg());\r\n                return this.neg().div(divisor).neg();\r\n            } else if (divisor.isNegative())\r\n                return this.div(divisor.neg()).neg();\r\n            res = ZERO;\r\n        } else {\r\n            // The algorithm below has not been made for unsigned longs. It's therefore\r\n            // required to take special care of the MSB prior to running it.\r\n            if (!divisor.unsigned)\r\n                divisor = divisor.toUnsigned();\r\n            if (divisor.gt(this))\r\n                return UZERO;\r\n            if (divisor.gt(this.shru(1))) // 15 >>> 1 = 7 ; with divisor = 8 ; true\r\n                return UONE;\r\n            res = UZERO;\r\n        }\r\n\r\n        // Repeat the following until the remainder is less than other:  find a\r\n        // floating-point that approximates remainder / other *from below*, add this\r\n        // into the result, and subtract it from the remainder.  It is critical that\r\n        // the approximate value is less than or equal to the real value so that the\r\n        // remainder never becomes negative.\r\n        rem = this;\r\n        while (rem.gte(divisor)) {\r\n            // Approximate the result of division. This may be a little greater or\r\n            // smaller than the actual value.\r\n            approx = Math.max(1, Math.floor(rem.toNumber() / divisor.toNumber()));\r\n\r\n            // We will tweak the approximate result by changing it in the 48-th digit or\r\n            // the smallest non-fractional digit, whichever is larger.\r\n            var log2 = Math.ceil(Math.log(approx) / Math.LN2),\r\n                delta = (log2 <= 48) ? 1 : pow_dbl(2, log2 - 48),\r\n\r\n            // Decrease the approximation until it is smaller than the remainder.  Note\r\n            // that if it is too large, the product overflows and is negative.\r\n                approxRes = fromNumber(approx),\r\n                approxRem = approxRes.mul(divisor);\r\n            while (approxRem.isNegative() || approxRem.gt(rem)) {\r\n                approx -= delta;\r\n                approxRes = fromNumber(approx, this.unsigned);\r\n                approxRem = approxRes.mul(divisor);\r\n            }\r\n\r\n            // We know the answer can't be zero... and actually, zero would cause\r\n            // infinite recursion since we would make no progress.\r\n            if (approxRes.isZero())\r\n                approxRes = ONE;\r\n\r\n            res = res.add(approxRes);\r\n            rem = rem.sub(approxRem);\r\n        }\r\n        return res;\r\n    };\r\n\r\n    /**\r\n     * Returns this Long divided by the specified. This is an alias of {@link Long#divide}.\r\n     * @function\r\n     * @param {!Long|number|string} divisor Divisor\r\n     * @returns {!Long} Quotient\r\n     */\r\n    LongPrototype.div = LongPrototype.divide;\r\n\r\n    /**\r\n     * Returns this Long modulo the specified.\r\n     * @param {!Long|number|string} divisor Divisor\r\n     * @returns {!Long} Remainder\r\n     */\r\n    LongPrototype.modulo = function modulo(divisor) {\r\n        if (!isLong(divisor))\r\n            divisor = fromValue(divisor);\r\n        return this.sub(this.div(divisor).mul(divisor));\r\n    };\r\n\r\n    /**\r\n     * Returns this Long modulo the specified. This is an alias of {@link Long#modulo}.\r\n     * @function\r\n     * @param {!Long|number|string} divisor Divisor\r\n     * @returns {!Long} Remainder\r\n     */\r\n    LongPrototype.mod = LongPrototype.modulo;\r\n\r\n    /**\r\n     * Returns the bitwise NOT of this Long.\r\n     * @returns {!Long}\r\n     */\r\n    LongPrototype.not = function not() {\r\n        return fromBits(~this.low, ~this.high, this.unsigned);\r\n    };\r\n\r\n    /**\r\n     * Returns the bitwise AND of this Long and the specified.\r\n     * @param {!Long|number|string} other Other Long\r\n     * @returns {!Long}\r\n     */\r\n    LongPrototype.and = function and(other) {\r\n        if (!isLong(other))\r\n            other = fromValue(other);\r\n        return fromBits(this.low & other.low, this.high & other.high, this.unsigned);\r\n    };\r\n\r\n    /**\r\n     * Returns the bitwise OR of this Long and the specified.\r\n     * @param {!Long|number|string} other Other Long\r\n     * @returns {!Long}\r\n     */\r\n    LongPrototype.or = function or(other) {\r\n        if (!isLong(other))\r\n            other = fromValue(other);\r\n        return fromBits(this.low | other.low, this.high | other.high, this.unsigned);\r\n    };\r\n\r\n    /**\r\n     * Returns the bitwise XOR of this Long and the given one.\r\n     * @param {!Long|number|string} other Other Long\r\n     * @returns {!Long}\r\n     */\r\n    LongPrototype.xor = function xor(other) {\r\n        if (!isLong(other))\r\n            other = fromValue(other);\r\n        return fromBits(this.low ^ other.low, this.high ^ other.high, this.unsigned);\r\n    };\r\n\r\n    /**\r\n     * Returns this Long with bits shifted to the left by the given amount.\r\n     * @param {number|!Long} numBits Number of bits\r\n     * @returns {!Long} Shifted Long\r\n     */\r\n    LongPrototype.shiftLeft = function shiftLeft(numBits) {\r\n        if (isLong(numBits))\r\n            numBits = numBits.toInt();\r\n        if ((numBits &= 63) === 0)\r\n            return this;\r\n        else if (numBits < 32)\r\n            return fromBits(this.low << numBits, (this.high << numBits) | (this.low >>> (32 - numBits)), this.unsigned);\r\n        else\r\n            return fromBits(0, this.low << (numBits - 32), this.unsigned);\r\n    };\r\n\r\n    /**\r\n     * Returns this Long with bits shifted to the left by the given amount. This is an alias of {@link Long#shiftLeft}.\r\n     * @function\r\n     * @param {number|!Long} numBits Number of bits\r\n     * @returns {!Long} Shifted Long\r\n     */\r\n    LongPrototype.shl = LongPrototype.shiftLeft;\r\n\r\n    /**\r\n     * Returns this Long with bits arithmetically shifted to the right by the given amount.\r\n     * @param {number|!Long} numBits Number of bits\r\n     * @returns {!Long} Shifted Long\r\n     */\r\n    LongPrototype.shiftRight = function shiftRight(numBits) {\r\n        if (isLong(numBits))\r\n            numBits = numBits.toInt();\r\n        if ((numBits &= 63) === 0)\r\n            return this;\r\n        else if (numBits < 32)\r\n            return fromBits((this.low >>> numBits) | (this.high << (32 - numBits)), this.high >> numBits, this.unsigned);\r\n        else\r\n            return fromBits(this.high >> (numBits - 32), this.high >= 0 ? 0 : -1, this.unsigned);\r\n    };\r\n\r\n    /**\r\n     * Returns this Long with bits arithmetically shifted to the right by the given amount. This is an alias of {@link Long#shiftRight}.\r\n     * @function\r\n     * @param {number|!Long} numBits Number of bits\r\n     * @returns {!Long} Shifted Long\r\n     */\r\n    LongPrototype.shr = LongPrototype.shiftRight;\r\n\r\n    /**\r\n     * Returns this Long with bits logically shifted to the right by the given amount.\r\n     * @param {number|!Long} numBits Number of bits\r\n     * @returns {!Long} Shifted Long\r\n     */\r\n    LongPrototype.shiftRightUnsigned = function shiftRightUnsigned(numBits) {\r\n        if (isLong(numBits))\r\n            numBits = numBits.toInt();\r\n        numBits &= 63;\r\n        if (numBits === 0)\r\n            return this;\r\n        else {\r\n            var high = this.high;\r\n            if (numBits < 32) {\r\n                var low = this.low;\r\n                return fromBits((low >>> numBits) | (high << (32 - numBits)), high >>> numBits, this.unsigned);\r\n            } else if (numBits === 32)\r\n                return fromBits(high, 0, this.unsigned);\r\n            else\r\n                return fromBits(high >>> (numBits - 32), 0, this.unsigned);\r\n        }\r\n    };\r\n\r\n    /**\r\n     * Returns this Long with bits logically shifted to the right by the given amount. This is an alias of {@link Long#shiftRightUnsigned}.\r\n     * @function\r\n     * @param {number|!Long} numBits Number of bits\r\n     * @returns {!Long} Shifted Long\r\n     */\r\n    LongPrototype.shru = LongPrototype.shiftRightUnsigned;\r\n\r\n    /**\r\n     * Converts this Long to signed.\r\n     * @returns {!Long} Signed long\r\n     */\r\n    LongPrototype.toSigned = function toSigned() {\r\n        if (!this.unsigned)\r\n            return this;\r\n        return fromBits(this.low, this.high, false);\r\n    };\r\n\r\n    /**\r\n     * Converts this Long to unsigned.\r\n     * @returns {!Long} Unsigned long\r\n     */\r\n    LongPrototype.toUnsigned = function toUnsigned() {\r\n        if (this.unsigned)\r\n            return this;\r\n        return fromBits(this.low, this.high, true);\r\n    };\r\n\r\n    /**\r\n     * Converts this Long to its byte representation.\r\n     * @param {boolean=} le Whether little or big endian, defaults to big endian\r\n     * @returns {!Array.<number>} Byte representation\r\n     */\r\n    LongPrototype.toBytes = function(le) {\r\n        return le ? this.toBytesLE() : this.toBytesBE();\r\n    }\r\n\r\n    /**\r\n     * Converts this Long to its little endian byte representation.\r\n     * @returns {!Array.<number>} Little endian byte representation\r\n     */\r\n    LongPrototype.toBytesLE = function() {\r\n        var hi = this.high,\r\n            lo = this.low;\r\n        return [\r\n             lo         & 0xff,\r\n            (lo >>>  8) & 0xff,\r\n            (lo >>> 16) & 0xff,\r\n            (lo >>> 24) & 0xff,\r\n             hi         & 0xff,\r\n            (hi >>>  8) & 0xff,\r\n            (hi >>> 16) & 0xff,\r\n            (hi >>> 24) & 0xff\r\n        ];\r\n    }\r\n\r\n    /**\r\n     * Converts this Long to its big endian byte representation.\r\n     * @returns {!Array.<number>} Big endian byte representation\r\n     */\r\n    LongPrototype.toBytesBE = function() {\r\n        var hi = this.high,\r\n            lo = this.low;\r\n        return [\r\n            (hi >>> 24) & 0xff,\r\n            (hi >>> 16) & 0xff,\r\n            (hi >>>  8) & 0xff,\r\n             hi         & 0xff,\r\n            (lo >>> 24) & 0xff,\r\n            (lo >>> 16) & 0xff,\r\n            (lo >>>  8) & 0xff,\r\n             lo         & 0xff\r\n        ];\r\n    }\r\n\r\n    return Long;\r\n});\r\n","/*\r\n Copyright 2013-2014 Daniel Wirtz <dcode@dcode.io>\r\n\r\n Licensed under the Apache License, Version 2.0 (the \"License\");\r\n you may not use this file except in compliance with the License.\r\n You may obtain a copy of the License at\r\n\r\n http://www.apache.org/licenses/LICENSE-2.0\r\n\r\n Unless required by applicable law or agreed to in writing, software\r\n distributed under the License is distributed on an \"AS IS\" BASIS,\r\n WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\r\n See the License for the specific language governing permissions and\r\n limitations under the License.\r\n */\r\n\r\n/**\r\n * @license bytebuffer.js (c) 2015 Daniel Wirtz <dcode@dcode.io>\r\n * Backing buffer / Accessor: node Buffer\r\n * Released under the Apache License, Version 2.0\r\n * see: https://github.com/dcodeIO/bytebuffer.js for details\r\n */\r\nmodule.exports = (function() {\r\n    \"use strict\";\r\n\r\n    var buffer = require(\"buffer\"),\r\n        Buffer = buffer[\"Buffer\"],\r\n        Long = require(\"long\"),\r\n        memcpy = null; try { memcpy = require(\"memcpy\"); } catch (e) {}\r\n\r\n    /**\r\n     * Constructs a new ByteBuffer.\r\n     * @class The swiss army knife for binary data in JavaScript.\r\n     * @exports ByteBuffer\r\n     * @constructor\r\n     * @param {number=} capacity Initial capacity. Defaults to {@link ByteBuffer.DEFAULT_CAPACITY}.\r\n     * @param {boolean=} littleEndian Whether to use little or big endian byte order. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_ENDIAN}.\r\n     * @param {boolean=} noAssert Whether to skip assertions of offsets and values. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_NOASSERT}.\r\n     * @expose\r\n     */\r\n    var ByteBuffer = function(capacity, littleEndian, noAssert) {\r\n        if (typeof capacity === 'undefined')\r\n            capacity = ByteBuffer.DEFAULT_CAPACITY;\r\n        if (typeof littleEndian === 'undefined')\r\n            littleEndian = ByteBuffer.DEFAULT_ENDIAN;\r\n        if (typeof noAssert === 'undefined')\r\n            noAssert = ByteBuffer.DEFAULT_NOASSERT;\r\n        if (!noAssert) {\r\n            capacity = capacity | 0;\r\n            if (capacity < 0)\r\n                throw RangeError(\"Illegal capacity\");\r\n            littleEndian = !!littleEndian;\r\n            noAssert = !!noAssert;\r\n        }\r\n\r\n        /**\r\n         * Backing node Buffer.\r\n         * @type {!Buffer}\r\n         * @expose\r\n         */\r\n        this.buffer = capacity === 0 ? EMPTY_BUFFER : Buffer.alloc(capacity);\r\n\r\n        /**\r\n         * Absolute read/write offset.\r\n         * @type {number}\r\n         * @expose\r\n         * @see ByteBuffer#flip\r\n         * @see ByteBuffer#clear\r\n         */\r\n        this.offset = 0;\r\n\r\n        /**\r\n         * Marked offset.\r\n         * @type {number}\r\n         * @expose\r\n         * @see ByteBuffer#mark\r\n         * @see ByteBuffer#reset\r\n         */\r\n        this.markedOffset = -1;\r\n\r\n        /**\r\n         * Absolute limit of the contained data. Set to the backing buffer's capacity upon allocation.\r\n         * @type {number}\r\n         * @expose\r\n         * @see ByteBuffer#flip\r\n         * @see ByteBuffer#clear\r\n         */\r\n        this.limit = capacity;\r\n\r\n        /**\r\n         * Whether to use little endian byte order, defaults to `false` for big endian.\r\n         * @type {boolean}\r\n         * @expose\r\n         */\r\n        this.littleEndian = littleEndian;\r\n\r\n        /**\r\n         * Whether to skip assertions of offsets and values, defaults to `false`.\r\n         * @type {boolean}\r\n         * @expose\r\n         */\r\n        this.noAssert = noAssert;\r\n    };\r\n\r\n    /**\r\n     * ByteBuffer version.\r\n     * @type {string}\r\n     * @const\r\n     * @expose\r\n     */\r\n    ByteBuffer.VERSION = \"5.0.1\";\r\n\r\n    /**\r\n     * Little endian constant that can be used instead of its boolean value. Evaluates to `true`.\r\n     * @type {boolean}\r\n     * @const\r\n     * @expose\r\n     */\r\n    ByteBuffer.LITTLE_ENDIAN = true;\r\n\r\n    /**\r\n     * Big endian constant that can be used instead of its boolean value. Evaluates to `false`.\r\n     * @type {boolean}\r\n     * @const\r\n     * @expose\r\n     */\r\n    ByteBuffer.BIG_ENDIAN = false;\r\n\r\n    /**\r\n     * Default initial capacity of `16`.\r\n     * @type {number}\r\n     * @expose\r\n     */\r\n    ByteBuffer.DEFAULT_CAPACITY = 16;\r\n\r\n    /**\r\n     * Default endianess of `false` for big endian.\r\n     * @type {boolean}\r\n     * @expose\r\n     */\r\n    ByteBuffer.DEFAULT_ENDIAN = ByteBuffer.BIG_ENDIAN;\r\n\r\n    /**\r\n     * Default no assertions flag of `false`.\r\n     * @type {boolean}\r\n     * @expose\r\n     */\r\n    ByteBuffer.DEFAULT_NOASSERT = false;\r\n\r\n    /**\r\n     * A `Long` class for representing a 64-bit two's-complement integer value.\r\n     * @type {!Long}\r\n     * @const\r\n     * @see https://npmjs.org/package/long\r\n     * @expose\r\n     */\r\n    ByteBuffer.Long = Long;\r\n\r\n    /**\r\n     * @alias ByteBuffer.prototype\r\n     * @inner\r\n     */\r\n    var ByteBufferPrototype = ByteBuffer.prototype;\r\n\r\n    /**\r\n     * An indicator used to reliably determine if an object is a ByteBuffer or not.\r\n     * @type {boolean}\r\n     * @const\r\n     * @expose\r\n     * @private\r\n     */\r\n    ByteBufferPrototype.__isByteBuffer__;\r\n\r\n    Object.defineProperty(ByteBufferPrototype, \"__isByteBuffer__\", {\r\n        value: true,\r\n        enumerable: false,\r\n        configurable: false\r\n    });\r\n\r\n    // helpers\r\n\r\n    /**\r\n     * @type {!Buffer}\r\n     * @inner\r\n     */\r\n    var EMPTY_BUFFER = Buffer.alloc(0);\r\n\r\n    /**\r\n     * String.fromCharCode reference for compile-time renaming.\r\n     * @type {function(...number):string}\r\n     * @inner\r\n     */\r\n    var stringFromCharCode = String.fromCharCode;\r\n\r\n    /**\r\n     * Creates a source function for a string.\r\n     * @param {string} s String to read from\r\n     * @returns {function():number|null} Source function returning the next char code respectively `null` if there are\r\n     *  no more characters left.\r\n     * @throws {TypeError} If the argument is invalid\r\n     * @inner\r\n     */\r\n    function stringSource(s) {\r\n        var i=0; return function() {\r\n            return i < s.length ? s.charCodeAt(i++) : null;\r\n        };\r\n    }\r\n\r\n    /**\r\n     * Creates a destination function for a string.\r\n     * @returns {function(number=):undefined|string} Destination function successively called with the next char code.\r\n     *  Returns the final string when called without arguments.\r\n     * @inner\r\n     */\r\n    function stringDestination() {\r\n        var cs = [], ps = []; return function() {\r\n            if (arguments.length === 0)\r\n                return ps.join('')+stringFromCharCode.apply(String, cs);\r\n            if (cs.length + arguments.length > 1024)\r\n                ps.push(stringFromCharCode.apply(String, cs)),\r\n                    cs.length = 0;\r\n            Array.prototype.push.apply(cs, arguments);\r\n        };\r\n    }\r\n\r\n    /**\r\n     * Gets the accessor type.\r\n     * @returns {Function} `Buffer` under node.js, `Uint8Array` respectively `DataView` in the browser (classes)\r\n     * @expose\r\n     */\r\n    ByteBuffer.accessor = function() {\r\n        return Buffer;\r\n    };\r\n    /**\r\n     * Allocates a new ByteBuffer backed by a buffer of the specified capacity.\r\n     * @param {number=} capacity Initial capacity. Defaults to {@link ByteBuffer.DEFAULT_CAPACITY}.\r\n     * @param {boolean=} littleEndian Whether to use little or big endian byte order. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_ENDIAN}.\r\n     * @param {boolean=} noAssert Whether to skip assertions of offsets and values. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_NOASSERT}.\r\n     * @returns {!ByteBuffer}\r\n     * @expose\r\n     */\r\n    ByteBuffer.allocate = function(capacity, littleEndian, noAssert) {\r\n        return new ByteBuffer(capacity, littleEndian, noAssert);\r\n    };\r\n\r\n    /**\r\n     * Concatenates multiple ByteBuffers into one.\r\n     * @param {!Array.<!ByteBuffer|!Buffer|!ArrayBuffer|!Uint8Array|string>} buffers Buffers to concatenate\r\n     * @param {(string|boolean)=} encoding String encoding if `buffers` contains a string (\"base64\", \"hex\", \"binary\",\r\n     *  defaults to \"utf8\")\r\n     * @param {boolean=} littleEndian Whether to use little or big endian byte order for the resulting ByteBuffer. Defaults\r\n     *  to {@link ByteBuffer.DEFAULT_ENDIAN}.\r\n     * @param {boolean=} noAssert Whether to skip assertions of offsets and values for the resulting ByteBuffer. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_NOASSERT}.\r\n     * @returns {!ByteBuffer} Concatenated ByteBuffer\r\n     * @expose\r\n     */\r\n    ByteBuffer.concat = function(buffers, encoding, littleEndian, noAssert) {\r\n        if (typeof encoding === 'boolean' || typeof encoding !== 'string') {\r\n            noAssert = littleEndian;\r\n            littleEndian = encoding;\r\n            encoding = undefined;\r\n        }\r\n        var capacity = 0;\r\n        for (var i=0, k=buffers.length, length; i<k; ++i) {\r\n            if (!ByteBuffer.isByteBuffer(buffers[i]))\r\n                buffers[i] = ByteBuffer.wrap(buffers[i], encoding);\r\n            length = buffers[i].limit - buffers[i].offset;\r\n            if (length > 0) capacity += length;\r\n        }\r\n        if (capacity === 0)\r\n            return new ByteBuffer(0, littleEndian, noAssert);\r\n        var bb = new ByteBuffer(capacity, littleEndian, noAssert),\r\n            bi;\r\n        i=0; while (i<k) {\r\n            bi = buffers[i++];\r\n            length = bi.limit - bi.offset;\r\n            if (length <= 0) continue;\r\n            bi.buffer.copy(bb.buffer, bb.offset, bi.offset, bi.limit);\r\n            bb.offset += length;\r\n        }\r\n        bb.limit = bb.offset;\r\n        bb.offset = 0;\r\n        return bb;\r\n    };\r\n\r\n    /**\r\n     * Tests if the specified type is a ByteBuffer.\r\n     * @param {*} bb ByteBuffer to test\r\n     * @returns {boolean} `true` if it is a ByteBuffer, otherwise `false`\r\n     * @expose\r\n     */\r\n    ByteBuffer.isByteBuffer = function(bb) {\r\n        return (bb && bb[\"__isByteBuffer__\"]) === true;\r\n    };\r\n    /**\r\n     * Gets the backing buffer type.\r\n     * @returns {Function} `Buffer` under node.js, `ArrayBuffer` in the browser (classes)\r\n     * @expose\r\n     */\r\n    ByteBuffer.type = function() {\r\n        return Buffer;\r\n    };\r\n    /**\r\n     * Wraps a buffer or a string. Sets the allocated ByteBuffer's {@link ByteBuffer#offset} to `0` and its\r\n     *  {@link ByteBuffer#limit} to the length of the wrapped data.\r\n     * @param {!ByteBuffer|!Buffer|!ArrayBuffer|!Uint8Array|string|!Array.<number>} buffer Anything that can be wrapped\r\n     * @param {(string|boolean)=} encoding String encoding if `buffer` is a string (\"base64\", \"hex\", \"binary\", defaults to\r\n     *  \"utf8\")\r\n     * @param {boolean=} littleEndian Whether to use little or big endian byte order. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_ENDIAN}.\r\n     * @param {boolean=} noAssert Whether to skip assertions of offsets and values. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_NOASSERT}.\r\n     * @returns {!ByteBuffer} A ByteBuffer wrapping `buffer`\r\n     * @expose\r\n     */\r\n    ByteBuffer.wrap = function(buffer, encoding, littleEndian, noAssert) {\r\n        if (typeof encoding !== 'string') {\r\n            noAssert = littleEndian;\r\n            littleEndian = encoding;\r\n            encoding = undefined;\r\n        }\r\n        if (typeof buffer === 'string') {\r\n            if (typeof encoding === 'undefined')\r\n                encoding = \"utf8\";\r\n            switch (encoding) {\r\n                case \"base64\":\r\n                    return ByteBuffer.fromBase64(buffer, littleEndian);\r\n                case \"hex\":\r\n                    return ByteBuffer.fromHex(buffer, littleEndian);\r\n                case \"binary\":\r\n                    return ByteBuffer.fromBinary(buffer, littleEndian);\r\n                case \"utf8\":\r\n                    return ByteBuffer.fromUTF8(buffer, littleEndian);\r\n                case \"debug\":\r\n                    return ByteBuffer.fromDebug(buffer, littleEndian);\r\n                default:\r\n                    throw Error(\"Unsupported encoding: \"+encoding);\r\n            }\r\n        }\r\n        if (buffer === null || typeof buffer !== 'object')\r\n            throw TypeError(\"Illegal buffer\");\r\n        var bb;\r\n        if (ByteBuffer.isByteBuffer(buffer)) {\r\n            bb = ByteBufferPrototype.clone.call(buffer);\r\n            bb.markedOffset = -1;\r\n            return bb;\r\n        }\r\n        var i = 0,\r\n            k = 0,\r\n            b;\r\n        if (buffer instanceof Uint8Array) { // Extract bytes from Uint8Array\r\n            b = Buffer.alloc(buffer.length);\r\n            if (memcpy) { // Fast\r\n                memcpy(b, 0, buffer.buffer, buffer.byteOffset, buffer.byteOffset + buffer.length);\r\n            } else { // Slow\r\n                for (i=0, k=buffer.length; i<k; ++i)\r\n                    b[i] = buffer[i];\r\n            }\r\n            buffer = b;\r\n        } else if (buffer instanceof ArrayBuffer) { // Convert ArrayBuffer to Buffer\r\n            b = Buffer.alloc(buffer.byteLength);\r\n            if (memcpy) { // Fast\r\n                memcpy(b, 0, buffer, 0, buffer.byteLength);\r\n            } else { // Slow\r\n                buffer = new Uint8Array(buffer);\r\n                for (i=0, k=buffer.length; i<k; ++i) {\r\n                    b[i] = buffer[i];\r\n                }\r\n            }\r\n            buffer = b;\r\n        } else if (!(buffer instanceof Buffer)) { // Create from octets if it is an error, otherwise fail\r\n            if (Object.prototype.toString.call(buffer) !== \"[object Array]\")\r\n                throw TypeError(\"Illegal buffer\");\r\n            buffer = Buffer.from(buffer);\r\n        }\r\n        bb = new ByteBuffer(0, littleEndian, noAssert);\r\n        if (buffer.length > 0) { // Avoid references to more than one EMPTY_BUFFER\r\n            bb.buffer = buffer;\r\n            bb.limit = buffer.length;\r\n        }\r\n        return bb;\r\n    };\r\n\r\n    /**\r\n     * Writes the array as a bitset.\r\n     * @param {Array<boolean>} value Array of booleans to write\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `length` if omitted.\r\n     * @returns {!ByteBuffer}\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeBitSet = function(value, offset) {\r\n      var relative = typeof offset === 'undefined';\n      if (relative) offset = this.offset;\n      if (!this.noAssert) {\r\n        if (!(value instanceof Array))\r\n          throw TypeError(\"Illegal BitSet: Not an array\");\r\n        if (typeof offset !== 'number' || offset % 1 !== 0)\n            throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n        offset >>>= 0;\n        if (offset < 0 || offset + 0 > this.buffer.length)\n            throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n      }\r\n\r\n      var start = offset,\r\n          bits = value.length,\r\n          bytes = (bits >> 3),\r\n          bit = 0,\r\n          k;\r\n\r\n      offset += this.writeVarint32(bits,offset);\r\n\r\n      while(bytes--) {\r\n        k = (!!value[bit++] & 1) |\r\n            ((!!value[bit++] & 1) << 1) |\r\n            ((!!value[bit++] & 1) << 2) |\r\n            ((!!value[bit++] & 1) << 3) |\r\n            ((!!value[bit++] & 1) << 4) |\r\n            ((!!value[bit++] & 1) << 5) |\r\n            ((!!value[bit++] & 1) << 6) |\r\n            ((!!value[bit++] & 1) << 7);\r\n        this.writeByte(k,offset++);\r\n      }\r\n\r\n      if(bit < bits) {\r\n        var m = 0; k = 0;\r\n        while(bit < bits) k = k | ((!!value[bit++] & 1) << (m++));\r\n        this.writeByte(k,offset++);\r\n      }\r\n\r\n      if (relative) {\r\n        this.offset = offset;\r\n        return this;\r\n      }\r\n      return offset - start;\r\n    }\r\n\r\n    /**\r\n     * Reads a BitSet as an array of booleans.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `length` if omitted.\r\n     * @returns {Array<boolean>\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readBitSet = function(offset) {\r\n      var relative = typeof offset === 'undefined';\n      if (relative) offset = this.offset;\n\r\n      var ret = this.readVarint32(offset),\r\n          bits = ret.value,\r\n          bytes = (bits >> 3),\r\n          bit = 0,\r\n          value = [],\r\n          k;\r\n\r\n      offset += ret.length;\r\n\r\n      while(bytes--) {\r\n        k = this.readByte(offset++);\r\n        value[bit++] = !!(k & 0x01);\r\n        value[bit++] = !!(k & 0x02);\r\n        value[bit++] = !!(k & 0x04);\r\n        value[bit++] = !!(k & 0x08);\r\n        value[bit++] = !!(k & 0x10);\r\n        value[bit++] = !!(k & 0x20);\r\n        value[bit++] = !!(k & 0x40);\r\n        value[bit++] = !!(k & 0x80);\r\n      }\r\n\r\n      if(bit < bits) {\r\n        var m = 0;\r\n        k = this.readByte(offset++);\r\n        while(bit < bits) value[bit++] = !!((k >> (m++)) & 1);\r\n      }\r\n\r\n      if (relative) {\r\n        this.offset = offset;\r\n      }\r\n      return value;\r\n    }\r\n    /**\r\n     * Reads the specified number of bytes.\r\n     * @param {number} length Number of bytes to read\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `length` if omitted.\r\n     * @returns {!ByteBuffer}\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readBytes = function(length, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + length > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+length+\") <= \"+this.buffer.length);\n        }\r\n        var slice = this.slice(offset, offset + length);\r\n        if (relative) this.offset += length;\n        return slice;\r\n    };\r\n\r\n    /**\r\n     * Writes a payload of bytes. This is an alias of {@link ByteBuffer#append}.\r\n     * @function\r\n     * @param {!ByteBuffer|!Buffer|!ArrayBuffer|!Uint8Array|string} source Data to write. If `source` is a ByteBuffer, its\r\n     * offsets will be modified according to the performed read operation.\r\n     * @param {(string|number)=} encoding Encoding if `data` is a string (\"base64\", \"hex\", \"binary\", defaults to \"utf8\")\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  written if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeBytes = ByteBufferPrototype.append;\r\n\r\n    // types/ints/int8\r\n\r\n    /**\r\n     * Writes an 8bit signed integer.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and advance {@link ByteBuffer#offset} by `1` if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeInt8 = function(value, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number' || value % 1 !== 0)\n                throw TypeError(\"Illegal value: \"+value+\" (not an integer)\");\n            value |= 0;\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        offset += 1;\n        var capacity0 = this.buffer.length;\n        if (offset > capacity0)\n            this.resize((capacity0 *= 2) > offset ? capacity0 : offset);\n        offset -= 1;\n        this.buffer[offset] = value;\r\n        if (relative) this.offset += 1;\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Writes an 8bit signed integer. This is an alias of {@link ByteBuffer#writeInt8}.\r\n     * @function\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and advance {@link ByteBuffer#offset} by `1` if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeByte = ByteBufferPrototype.writeInt8;\r\n\r\n    /**\r\n     * Reads an 8bit signed integer.\r\n     * @param {number=} offset Offset to read from. Will use and advance {@link ByteBuffer#offset} by `1` if omitted.\r\n     * @returns {number} Value read\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readInt8 = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 1 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+1+\") <= \"+this.buffer.length);\n        }\r\n        var value = this.buffer[offset];\r\n        if ((value & 0x80) === 0x80) value = -(0xFF - value + 1); // Cast to signed\r\n        if (relative) this.offset += 1;\n        return value;\r\n    };\r\n\r\n    /**\r\n     * Reads an 8bit signed integer. This is an alias of {@link ByteBuffer#readInt8}.\r\n     * @function\r\n     * @param {number=} offset Offset to read from. Will use and advance {@link ByteBuffer#offset} by `1` if omitted.\r\n     * @returns {number} Value read\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readByte = ByteBufferPrototype.readInt8;\r\n\r\n    /**\r\n     * Writes an 8bit unsigned integer.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and advance {@link ByteBuffer#offset} by `1` if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeUint8 = function(value, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number' || value % 1 !== 0)\n                throw TypeError(\"Illegal value: \"+value+\" (not an integer)\");\n            value >>>= 0;\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        offset += 1;\n        var capacity1 = this.buffer.length;\n        if (offset > capacity1)\n            this.resize((capacity1 *= 2) > offset ? capacity1 : offset);\n        offset -= 1;\n        this.buffer[offset] = value;\r\n        if (relative) this.offset += 1;\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Writes an 8bit unsigned integer. This is an alias of {@link ByteBuffer#writeUint8}.\r\n     * @function\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and advance {@link ByteBuffer#offset} by `1` if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeUInt8 = ByteBufferPrototype.writeUint8;\r\n\r\n    /**\r\n     * Reads an 8bit unsigned integer.\r\n     * @param {number=} offset Offset to read from. Will use and advance {@link ByteBuffer#offset} by `1` if omitted.\r\n     * @returns {number} Value read\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readUint8 = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 1 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+1+\") <= \"+this.buffer.length);\n        }\r\n        var value = this.buffer[offset];\r\n        if (relative) this.offset += 1;\n        return value;\r\n    };\r\n\r\n    /**\r\n     * Reads an 8bit unsigned integer. This is an alias of {@link ByteBuffer#readUint8}.\r\n     * @function\r\n     * @param {number=} offset Offset to read from. Will use and advance {@link ByteBuffer#offset} by `1` if omitted.\r\n     * @returns {number} Value read\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readUInt8 = ByteBufferPrototype.readUint8;\r\n\r\n    // types/ints/int16\r\n\r\n    /**\r\n     * Writes a 16bit signed integer.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and advance {@link ByteBuffer#offset} by `2` if omitted.\r\n     * @throws {TypeError} If `offset` or `value` is not a valid number\r\n     * @throws {RangeError} If `offset` is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeInt16 = function(value, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number' || value % 1 !== 0)\n                throw TypeError(\"Illegal value: \"+value+\" (not an integer)\");\n            value |= 0;\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        offset += 2;\n        var capacity2 = this.buffer.length;\n        if (offset > capacity2)\n            this.resize((capacity2 *= 2) > offset ? capacity2 : offset);\n        offset -= 2;\n        if (this.littleEndian) {\r\n            this.buffer[offset+1] = (value & 0xFF00) >>> 8;\r\n            this.buffer[offset  ] =  value & 0x00FF;\r\n        } else {\r\n            this.buffer[offset]   = (value & 0xFF00) >>> 8;\r\n            this.buffer[offset+1] =  value & 0x00FF;\r\n        }\r\n        if (relative) this.offset += 2;\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Writes a 16bit signed integer. This is an alias of {@link ByteBuffer#writeInt16}.\r\n     * @function\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and advance {@link ByteBuffer#offset} by `2` if omitted.\r\n     * @throws {TypeError} If `offset` or `value` is not a valid number\r\n     * @throws {RangeError} If `offset` is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeShort = ByteBufferPrototype.writeInt16;\r\n\r\n    /**\r\n     * Reads a 16bit signed integer.\r\n     * @param {number=} offset Offset to read from. Will use and advance {@link ByteBuffer#offset} by `2` if omitted.\r\n     * @returns {number} Value read\r\n     * @throws {TypeError} If `offset` is not a valid number\r\n     * @throws {RangeError} If `offset` is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readInt16 = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 2 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+2+\") <= \"+this.buffer.length);\n        }\r\n        var value = 0;\r\n        if (this.littleEndian) {\r\n            value  = this.buffer[offset  ];\r\n            value |= this.buffer[offset+1] << 8;\r\n        } else {\r\n            value  = this.buffer[offset  ] << 8;\r\n            value |= this.buffer[offset+1];\r\n        }\r\n        if ((value & 0x8000) === 0x8000) value = -(0xFFFF - value + 1); // Cast to signed\r\n        if (relative) this.offset += 2;\n        return value;\r\n    };\r\n\r\n    /**\r\n     * Reads a 16bit signed integer. This is an alias of {@link ByteBuffer#readInt16}.\r\n     * @function\r\n     * @param {number=} offset Offset to read from. Will use and advance {@link ByteBuffer#offset} by `2` if omitted.\r\n     * @returns {number} Value read\r\n     * @throws {TypeError} If `offset` is not a valid number\r\n     * @throws {RangeError} If `offset` is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readShort = ByteBufferPrototype.readInt16;\r\n\r\n    /**\r\n     * Writes a 16bit unsigned integer.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and advance {@link ByteBuffer#offset} by `2` if omitted.\r\n     * @throws {TypeError} If `offset` or `value` is not a valid number\r\n     * @throws {RangeError} If `offset` is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeUint16 = function(value, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number' || value % 1 !== 0)\n                throw TypeError(\"Illegal value: \"+value+\" (not an integer)\");\n            value >>>= 0;\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        offset += 2;\n        var capacity3 = this.buffer.length;\n        if (offset > capacity3)\n            this.resize((capacity3 *= 2) > offset ? capacity3 : offset);\n        offset -= 2;\n        if (this.littleEndian) {\r\n            this.buffer[offset+1] = (value & 0xFF00) >>> 8;\r\n            this.buffer[offset  ] =  value & 0x00FF;\r\n        } else {\r\n            this.buffer[offset]   = (value & 0xFF00) >>> 8;\r\n            this.buffer[offset+1] =  value & 0x00FF;\r\n        }\r\n        if (relative) this.offset += 2;\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Writes a 16bit unsigned integer. This is an alias of {@link ByteBuffer#writeUint16}.\r\n     * @function\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and advance {@link ByteBuffer#offset} by `2` if omitted.\r\n     * @throws {TypeError} If `offset` or `value` is not a valid number\r\n     * @throws {RangeError} If `offset` is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeUInt16 = ByteBufferPrototype.writeUint16;\r\n\r\n    /**\r\n     * Reads a 16bit unsigned integer.\r\n     * @param {number=} offset Offset to read from. Will use and advance {@link ByteBuffer#offset} by `2` if omitted.\r\n     * @returns {number} Value read\r\n     * @throws {TypeError} If `offset` is not a valid number\r\n     * @throws {RangeError} If `offset` is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readUint16 = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 2 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+2+\") <= \"+this.buffer.length);\n        }\r\n        var value = 0;\r\n        if (this.littleEndian) {\r\n            value  = this.buffer[offset  ];\r\n            value |= this.buffer[offset+1] << 8;\r\n        } else {\r\n            value  = this.buffer[offset  ] << 8;\r\n            value |= this.buffer[offset+1];\r\n        }\r\n        if (relative) this.offset += 2;\n        return value;\r\n    };\r\n\r\n    /**\r\n     * Reads a 16bit unsigned integer. This is an alias of {@link ByteBuffer#readUint16}.\r\n     * @function\r\n     * @param {number=} offset Offset to read from. Will use and advance {@link ByteBuffer#offset} by `2` if omitted.\r\n     * @returns {number} Value read\r\n     * @throws {TypeError} If `offset` is not a valid number\r\n     * @throws {RangeError} If `offset` is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readUInt16 = ByteBufferPrototype.readUint16;\r\n\r\n    // types/ints/int32\r\n\r\n    /**\r\n     * Writes a 32bit signed integer.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeInt32 = function(value, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number' || value % 1 !== 0)\n                throw TypeError(\"Illegal value: \"+value+\" (not an integer)\");\n            value |= 0;\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        offset += 4;\n        var capacity4 = this.buffer.length;\n        if (offset > capacity4)\n            this.resize((capacity4 *= 2) > offset ? capacity4 : offset);\n        offset -= 4;\n        if (this.littleEndian) {\n            this.buffer[offset+3] = (value >>> 24) & 0xFF;\n            this.buffer[offset+2] = (value >>> 16) & 0xFF;\n            this.buffer[offset+1] = (value >>>  8) & 0xFF;\n            this.buffer[offset  ] =  value         & 0xFF;\n        } else {\n            this.buffer[offset  ] = (value >>> 24) & 0xFF;\n            this.buffer[offset+1] = (value >>> 16) & 0xFF;\n            this.buffer[offset+2] = (value >>>  8) & 0xFF;\n            this.buffer[offset+3] =  value         & 0xFF;\n        }\n        if (relative) this.offset += 4;\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Writes a 32bit signed integer. This is an alias of {@link ByteBuffer#writeInt32}.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeInt = ByteBufferPrototype.writeInt32;\r\n\r\n    /**\r\n     * Reads a 32bit signed integer.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @returns {number} Value read\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readInt32 = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 4 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+4+\") <= \"+this.buffer.length);\n        }\r\n        var value = 0;\r\n        if (this.littleEndian) {\n            value  = this.buffer[offset+2] << 16;\n            value |= this.buffer[offset+1] <<  8;\n            value |= this.buffer[offset  ];\n            value += this.buffer[offset+3] << 24 >>> 0;\n        } else {\n            value  = this.buffer[offset+1] << 16;\n            value |= this.buffer[offset+2] <<  8;\n            value |= this.buffer[offset+3];\n            value += this.buffer[offset  ] << 24 >>> 0;\n        }\n        value |= 0; // Cast to signed\r\n        if (relative) this.offset += 4;\n        return value;\r\n    };\r\n\r\n    /**\r\n     * Reads a 32bit signed integer. This is an alias of {@link ByteBuffer#readInt32}.\r\n     * @param {number=} offset Offset to read from. Will use and advance {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @returns {number} Value read\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readInt = ByteBufferPrototype.readInt32;\r\n\r\n    /**\r\n     * Writes a 32bit unsigned integer.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeUint32 = function(value, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number' || value % 1 !== 0)\n                throw TypeError(\"Illegal value: \"+value+\" (not an integer)\");\n            value >>>= 0;\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        offset += 4;\n        var capacity5 = this.buffer.length;\n        if (offset > capacity5)\n            this.resize((capacity5 *= 2) > offset ? capacity5 : offset);\n        offset -= 4;\n        if (this.littleEndian) {\n            this.buffer[offset+3] = (value >>> 24) & 0xFF;\n            this.buffer[offset+2] = (value >>> 16) & 0xFF;\n            this.buffer[offset+1] = (value >>>  8) & 0xFF;\n            this.buffer[offset  ] =  value         & 0xFF;\n        } else {\n            this.buffer[offset  ] = (value >>> 24) & 0xFF;\n            this.buffer[offset+1] = (value >>> 16) & 0xFF;\n            this.buffer[offset+2] = (value >>>  8) & 0xFF;\n            this.buffer[offset+3] =  value         & 0xFF;\n        }\n        if (relative) this.offset += 4;\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Writes a 32bit unsigned integer. This is an alias of {@link ByteBuffer#writeUint32}.\r\n     * @function\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeUInt32 = ByteBufferPrototype.writeUint32;\r\n\r\n    /**\r\n     * Reads a 32bit unsigned integer.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @returns {number} Value read\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readUint32 = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 4 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+4+\") <= \"+this.buffer.length);\n        }\r\n        var value = 0;\r\n        if (this.littleEndian) {\n            value  = this.buffer[offset+2] << 16;\n            value |= this.buffer[offset+1] <<  8;\n            value |= this.buffer[offset  ];\n            value += this.buffer[offset+3] << 24 >>> 0;\n        } else {\n            value  = this.buffer[offset+1] << 16;\n            value |= this.buffer[offset+2] <<  8;\n            value |= this.buffer[offset+3];\n            value += this.buffer[offset  ] << 24 >>> 0;\n        }\n        if (relative) this.offset += 4;\n        return value;\r\n    };\r\n\r\n    /**\r\n     * Reads a 32bit unsigned integer. This is an alias of {@link ByteBuffer#readUint32}.\r\n     * @function\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @returns {number} Value read\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readUInt32 = ByteBufferPrototype.readUint32;\r\n\r\n    // types/ints/int64\r\n\r\n    if (Long) {\r\n\r\n        /**\r\n         * Writes a 64bit signed integer.\r\n         * @param {number|!Long} value Value to write\r\n         * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n         * @returns {!ByteBuffer} this\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.writeInt64 = function(value, offset) {\r\n            var relative = typeof offset === 'undefined';\n            if (relative) offset = this.offset;\n            if (!this.noAssert) {\r\n                if (typeof value === 'number')\n                    value = Long.fromNumber(value);\n                else if (typeof value === 'string')\n                    value = Long.fromString(value);\n                else if (!(value && value instanceof Long))\n                    throw TypeError(\"Illegal value: \"+value+\" (not an integer or Long)\");\n                if (typeof offset !== 'number' || offset % 1 !== 0)\n                    throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n                offset >>>= 0;\n                if (offset < 0 || offset + 0 > this.buffer.length)\n                    throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n            }\r\n            if (typeof value === 'number')\n                value = Long.fromNumber(value);\n            else if (typeof value === 'string')\n                value = Long.fromString(value);\n            offset += 8;\n            var capacity6 = this.buffer.length;\n            if (offset > capacity6)\n                this.resize((capacity6 *= 2) > offset ? capacity6 : offset);\n            offset -= 8;\n            var lo = value.low,\r\n                hi = value.high;\r\n            if (this.littleEndian) {\r\n                this.buffer[offset+3] = (lo >>> 24) & 0xFF;\n                this.buffer[offset+2] = (lo >>> 16) & 0xFF;\n                this.buffer[offset+1] = (lo >>>  8) & 0xFF;\n                this.buffer[offset  ] =  lo         & 0xFF;\n                offset += 4;\r\n                this.buffer[offset+3] = (hi >>> 24) & 0xFF;\n                this.buffer[offset+2] = (hi >>> 16) & 0xFF;\n                this.buffer[offset+1] = (hi >>>  8) & 0xFF;\n                this.buffer[offset  ] =  hi         & 0xFF;\n            } else {\r\n                this.buffer[offset  ] = (hi >>> 24) & 0xFF;\n                this.buffer[offset+1] = (hi >>> 16) & 0xFF;\n                this.buffer[offset+2] = (hi >>>  8) & 0xFF;\n                this.buffer[offset+3] =  hi         & 0xFF;\n                offset += 4;\r\n                this.buffer[offset  ] = (lo >>> 24) & 0xFF;\n                this.buffer[offset+1] = (lo >>> 16) & 0xFF;\n                this.buffer[offset+2] = (lo >>>  8) & 0xFF;\n                this.buffer[offset+3] =  lo         & 0xFF;\n            }\r\n            if (relative) this.offset += 8;\n            return this;\r\n        };\r\n\r\n        /**\r\n         * Writes a 64bit signed integer. This is an alias of {@link ByteBuffer#writeInt64}.\r\n         * @param {number|!Long} value Value to write\r\n         * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n         * @returns {!ByteBuffer} this\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.writeLong = ByteBufferPrototype.writeInt64;\r\n\r\n        /**\r\n         * Reads a 64bit signed integer.\r\n         * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n         * @returns {!Long}\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.readInt64 = function(offset) {\r\n            var relative = typeof offset === 'undefined';\n            if (relative) offset = this.offset;\n            if (!this.noAssert) {\r\n                if (typeof offset !== 'number' || offset % 1 !== 0)\n                    throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n                offset >>>= 0;\n                if (offset < 0 || offset + 8 > this.buffer.length)\n                    throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+8+\") <= \"+this.buffer.length);\n            }\r\n            var lo = 0,\r\n                hi = 0;\r\n            if (this.littleEndian) {\r\n                lo  = this.buffer[offset+2] << 16;\n                lo |= this.buffer[offset+1] <<  8;\n                lo |= this.buffer[offset  ];\n                lo += this.buffer[offset+3] << 24 >>> 0;\n                offset += 4;\r\n                hi  = this.buffer[offset+2] << 16;\n                hi |= this.buffer[offset+1] <<  8;\n                hi |= this.buffer[offset  ];\n                hi += this.buffer[offset+3] << 24 >>> 0;\n            } else {\r\n                hi  = this.buffer[offset+1] << 16;\n                hi |= this.buffer[offset+2] <<  8;\n                hi |= this.buffer[offset+3];\n                hi += this.buffer[offset  ] << 24 >>> 0;\n                offset += 4;\r\n                lo  = this.buffer[offset+1] << 16;\n                lo |= this.buffer[offset+2] <<  8;\n                lo |= this.buffer[offset+3];\n                lo += this.buffer[offset  ] << 24 >>> 0;\n            }\r\n            var value = new Long(lo, hi, false);\r\n            if (relative) this.offset += 8;\n            return value;\r\n        };\r\n\r\n        /**\r\n         * Reads a 64bit signed integer. This is an alias of {@link ByteBuffer#readInt64}.\r\n         * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n         * @returns {!Long}\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.readLong = ByteBufferPrototype.readInt64;\r\n\r\n        /**\r\n         * Writes a 64bit unsigned integer.\r\n         * @param {number|!Long} value Value to write\r\n         * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n         * @returns {!ByteBuffer} this\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.writeUint64 = function(value, offset) {\r\n            var relative = typeof offset === 'undefined';\n            if (relative) offset = this.offset;\n            if (!this.noAssert) {\r\n                if (typeof value === 'number')\n                    value = Long.fromNumber(value);\n                else if (typeof value === 'string')\n                    value = Long.fromString(value);\n                else if (!(value && value instanceof Long))\n                    throw TypeError(\"Illegal value: \"+value+\" (not an integer or Long)\");\n                if (typeof offset !== 'number' || offset % 1 !== 0)\n                    throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n                offset >>>= 0;\n                if (offset < 0 || offset + 0 > this.buffer.length)\n                    throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n            }\r\n            if (typeof value === 'number')\n                value = Long.fromNumber(value);\n            else if (typeof value === 'string')\n                value = Long.fromString(value);\n            offset += 8;\n            var capacity7 = this.buffer.length;\n            if (offset > capacity7)\n                this.resize((capacity7 *= 2) > offset ? capacity7 : offset);\n            offset -= 8;\n            var lo = value.low,\r\n                hi = value.high;\r\n            if (this.littleEndian) {\r\n                this.buffer[offset+3] = (lo >>> 24) & 0xFF;\n                this.buffer[offset+2] = (lo >>> 16) & 0xFF;\n                this.buffer[offset+1] = (lo >>>  8) & 0xFF;\n                this.buffer[offset  ] =  lo         & 0xFF;\n                offset += 4;\r\n                this.buffer[offset+3] = (hi >>> 24) & 0xFF;\n                this.buffer[offset+2] = (hi >>> 16) & 0xFF;\n                this.buffer[offset+1] = (hi >>>  8) & 0xFF;\n                this.buffer[offset  ] =  hi         & 0xFF;\n            } else {\r\n                this.buffer[offset  ] = (hi >>> 24) & 0xFF;\n                this.buffer[offset+1] = (hi >>> 16) & 0xFF;\n                this.buffer[offset+2] = (hi >>>  8) & 0xFF;\n                this.buffer[offset+3] =  hi         & 0xFF;\n                offset += 4;\r\n                this.buffer[offset  ] = (lo >>> 24) & 0xFF;\n                this.buffer[offset+1] = (lo >>> 16) & 0xFF;\n                this.buffer[offset+2] = (lo >>>  8) & 0xFF;\n                this.buffer[offset+3] =  lo         & 0xFF;\n            }\r\n            if (relative) this.offset += 8;\n            return this;\r\n        };\r\n\r\n        /**\r\n         * Writes a 64bit unsigned integer. This is an alias of {@link ByteBuffer#writeUint64}.\r\n         * @function\r\n         * @param {number|!Long} value Value to write\r\n         * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n         * @returns {!ByteBuffer} this\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.writeUInt64 = ByteBufferPrototype.writeUint64;\r\n\r\n        /**\r\n         * Reads a 64bit unsigned integer.\r\n         * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n         * @returns {!Long}\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.readUint64 = function(offset) {\r\n            var relative = typeof offset === 'undefined';\n            if (relative) offset = this.offset;\n            if (!this.noAssert) {\r\n                if (typeof offset !== 'number' || offset % 1 !== 0)\n                    throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n                offset >>>= 0;\n                if (offset < 0 || offset + 8 > this.buffer.length)\n                    throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+8+\") <= \"+this.buffer.length);\n            }\r\n            var lo = 0,\r\n                hi = 0;\r\n            if (this.littleEndian) {\r\n                lo  = this.buffer[offset+2] << 16;\n                lo |= this.buffer[offset+1] <<  8;\n                lo |= this.buffer[offset  ];\n                lo += this.buffer[offset+3] << 24 >>> 0;\n                offset += 4;\r\n                hi  = this.buffer[offset+2] << 16;\n                hi |= this.buffer[offset+1] <<  8;\n                hi |= this.buffer[offset  ];\n                hi += this.buffer[offset+3] << 24 >>> 0;\n            } else {\r\n                hi  = this.buffer[offset+1] << 16;\n                hi |= this.buffer[offset+2] <<  8;\n                hi |= this.buffer[offset+3];\n                hi += this.buffer[offset  ] << 24 >>> 0;\n                offset += 4;\r\n                lo  = this.buffer[offset+1] << 16;\n                lo |= this.buffer[offset+2] <<  8;\n                lo |= this.buffer[offset+3];\n                lo += this.buffer[offset  ] << 24 >>> 0;\n            }\r\n            var value = new Long(lo, hi, true);\r\n            if (relative) this.offset += 8;\n            return value;\r\n        };\r\n\r\n        /**\r\n         * Reads a 64bit unsigned integer. This is an alias of {@link ByteBuffer#readUint64}.\r\n         * @function\r\n         * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n         * @returns {!Long}\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.readUInt64 = ByteBufferPrototype.readUint64;\r\n\r\n    } // Long\r\n\r\n\r\n    // types/floats/float32\r\n\r\n    /**\r\n     * Writes a 32bit float.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeFloat32 = function(value, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number')\r\n                throw TypeError(\"Illegal value: \"+value+\" (not a number)\");\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        offset += 4;\n        var capacity8 = this.buffer.length;\n        if (offset > capacity8)\n            this.resize((capacity8 *= 2) > offset ? capacity8 : offset);\n        offset -= 4;\n        this.littleEndian\r\n            ? this.buffer.writeFloatLE(value, offset, true)\r\n            : this.buffer.writeFloatBE(value, offset, true);\r\n        if (relative) this.offset += 4;\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Writes a 32bit float. This is an alias of {@link ByteBuffer#writeFloat32}.\r\n     * @function\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeFloat = ByteBufferPrototype.writeFloat32;\r\n\r\n    /**\r\n     * Reads a 32bit float.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @returns {number}\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readFloat32 = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 4 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+4+\") <= \"+this.buffer.length);\n        }\r\n        var value = this.littleEndian\r\n            ? this.buffer.readFloatLE(offset, true)\r\n            : this.buffer.readFloatBE(offset, true);\r\n        if (relative) this.offset += 4;\n        return value;\r\n    };\r\n\r\n    /**\r\n     * Reads a 32bit float. This is an alias of {@link ByteBuffer#readFloat32}.\r\n     * @function\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `4` if omitted.\r\n     * @returns {number}\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readFloat = ByteBufferPrototype.readFloat32;\r\n\r\n    // types/floats/float64\r\n\r\n    /**\r\n     * Writes a 64bit float.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeFloat64 = function(value, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number')\r\n                throw TypeError(\"Illegal value: \"+value+\" (not a number)\");\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        offset += 8;\n        var capacity9 = this.buffer.length;\n        if (offset > capacity9)\n            this.resize((capacity9 *= 2) > offset ? capacity9 : offset);\n        offset -= 8;\n        this.littleEndian\r\n            ? this.buffer.writeDoubleLE(value, offset, true)\r\n            : this.buffer.writeDoubleBE(value, offset, true);\r\n        if (relative) this.offset += 8;\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Writes a 64bit float. This is an alias of {@link ByteBuffer#writeFloat64}.\r\n     * @function\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeDouble = ByteBufferPrototype.writeFloat64;\r\n\r\n    /**\r\n     * Reads a 64bit float.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n     * @returns {number}\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readFloat64 = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 8 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+8+\") <= \"+this.buffer.length);\n        }\r\n        var value = this.littleEndian\r\n            ? this.buffer.readDoubleLE(offset, true)\r\n            : this.buffer.readDoubleBE(offset, true);\r\n        if (relative) this.offset += 8;\n        return value;\r\n    };\r\n\r\n    /**\r\n     * Reads a 64bit float. This is an alias of {@link ByteBuffer#readFloat64}.\r\n     * @function\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by `8` if omitted.\r\n     * @returns {number}\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readDouble = ByteBufferPrototype.readFloat64;\r\n\r\n\r\n    // types/varints/varint32\r\n\r\n    /**\r\n     * Maximum number of bytes required to store a 32bit base 128 variable-length integer.\r\n     * @type {number}\r\n     * @const\r\n     * @expose\r\n     */\r\n    ByteBuffer.MAX_VARINT32_BYTES = 5;\r\n\r\n    /**\r\n     * Calculates the actual number of bytes required to store a 32bit base 128 variable-length integer.\r\n     * @param {number} value Value to encode\r\n     * @returns {number} Number of bytes required. Capped to {@link ByteBuffer.MAX_VARINT32_BYTES}\r\n     * @expose\r\n     */\r\n    ByteBuffer.calculateVarint32 = function(value) {\r\n        // ref: src/google/protobuf/io/coded_stream.cc\r\n        value = value >>> 0;\r\n             if (value < 1 << 7 ) return 1;\r\n        else if (value < 1 << 14) return 2;\r\n        else if (value < 1 << 21) return 3;\r\n        else if (value < 1 << 28) return 4;\r\n        else                      return 5;\r\n    };\r\n\r\n    /**\r\n     * Zigzag encodes a signed 32bit integer so that it can be effectively used with varint encoding.\r\n     * @param {number} n Signed 32bit integer\r\n     * @returns {number} Unsigned zigzag encoded 32bit integer\r\n     * @expose\r\n     */\r\n    ByteBuffer.zigZagEncode32 = function(n) {\r\n        return (((n |= 0) << 1) ^ (n >> 31)) >>> 0; // ref: src/google/protobuf/wire_format_lite.h\r\n    };\r\n\r\n    /**\r\n     * Decodes a zigzag encoded signed 32bit integer.\r\n     * @param {number} n Unsigned zigzag encoded 32bit integer\r\n     * @returns {number} Signed 32bit integer\r\n     * @expose\r\n     */\r\n    ByteBuffer.zigZagDecode32 = function(n) {\r\n        return ((n >>> 1) ^ -(n & 1)) | 0; // // ref: src/google/protobuf/wire_format_lite.h\r\n    };\r\n\r\n    /**\r\n     * Writes a 32bit base 128 variable-length integer.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  written if omitted.\r\n     * @returns {!ByteBuffer|number} this if `offset` is omitted, else the actual number of bytes written\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeVarint32 = function(value, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number' || value % 1 !== 0)\n                throw TypeError(\"Illegal value: \"+value+\" (not an integer)\");\n            value |= 0;\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        var size = ByteBuffer.calculateVarint32(value),\r\n            b;\r\n        offset += size;\n        var capacity10 = this.buffer.length;\n        if (offset > capacity10)\n            this.resize((capacity10 *= 2) > offset ? capacity10 : offset);\n        offset -= size;\n        value >>>= 0;\r\n        while (value >= 0x80) {\r\n            b = (value & 0x7f) | 0x80;\r\n            this.buffer[offset++] = b;\r\n            value >>>= 7;\r\n        }\r\n        this.buffer[offset++] = value;\r\n        if (relative) {\r\n            this.offset = offset;\r\n            return this;\r\n        }\r\n        return size;\r\n    };\r\n\r\n    /**\r\n     * Writes a zig-zag encoded (signed) 32bit base 128 variable-length integer.\r\n     * @param {number} value Value to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  written if omitted.\r\n     * @returns {!ByteBuffer|number} this if `offset` is omitted, else the actual number of bytes written\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeVarint32ZigZag = function(value, offset) {\r\n        return this.writeVarint32(ByteBuffer.zigZagEncode32(value), offset);\r\n    };\r\n\r\n    /**\r\n     * Reads a 32bit base 128 variable-length integer.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  written if omitted.\r\n     * @returns {number|!{value: number, length: number}} The value read if offset is omitted, else the value read\r\n     *  and the actual number of bytes read.\r\n     * @throws {Error} If it's not a valid varint. Has a property `truncated = true` if there is not enough data available\r\n     *  to fully decode the varint.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readVarint32 = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 1 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+1+\") <= \"+this.buffer.length);\n        }\r\n        var c = 0,\r\n            value = 0 >>> 0,\r\n            b;\r\n        do {\r\n            if (!this.noAssert && offset > this.limit) {\r\n                var err = Error(\"Truncated\");\r\n                err['truncated'] = true;\r\n                throw err;\r\n            }\r\n            b = this.buffer[offset++];\r\n            if (c < 5)\r\n                value |= (b & 0x7f) << (7*c);\r\n            ++c;\r\n        } while ((b & 0x80) !== 0);\r\n        value |= 0;\r\n        if (relative) {\r\n            this.offset = offset;\r\n            return value;\r\n        }\r\n        return {\r\n            \"value\": value,\r\n            \"length\": c\r\n        };\r\n    };\r\n\r\n    /**\r\n     * Reads a zig-zag encoded (signed) 32bit base 128 variable-length integer.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  written if omitted.\r\n     * @returns {number|!{value: number, length: number}} The value read if offset is omitted, else the value read\r\n     *  and the actual number of bytes read.\r\n     * @throws {Error} If it's not a valid varint\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readVarint32ZigZag = function(offset) {\r\n        var val = this.readVarint32(offset);\r\n        if (typeof val === 'object')\r\n            val[\"value\"] = ByteBuffer.zigZagDecode32(val[\"value\"]);\r\n        else\r\n            val = ByteBuffer.zigZagDecode32(val);\r\n        return val;\r\n    };\r\n\r\n    // types/varints/varint64\r\n\r\n    if (Long) {\r\n\r\n        /**\r\n         * Maximum number of bytes required to store a 64bit base 128 variable-length integer.\r\n         * @type {number}\r\n         * @const\r\n         * @expose\r\n         */\r\n        ByteBuffer.MAX_VARINT64_BYTES = 10;\r\n\r\n        /**\r\n         * Calculates the actual number of bytes required to store a 64bit base 128 variable-length integer.\r\n         * @param {number|!Long} value Value to encode\r\n         * @returns {number} Number of bytes required. Capped to {@link ByteBuffer.MAX_VARINT64_BYTES}\r\n         * @expose\r\n         */\r\n        ByteBuffer.calculateVarint64 = function(value) {\r\n            if (typeof value === 'number')\n                value = Long.fromNumber(value);\n            else if (typeof value === 'string')\n                value = Long.fromString(value);\n            // ref: src/google/protobuf/io/coded_stream.cc\r\n            var part0 = value.toInt() >>> 0,\r\n                part1 = value.shiftRightUnsigned(28).toInt() >>> 0,\r\n                part2 = value.shiftRightUnsigned(56).toInt() >>> 0;\r\n            if (part2 == 0) {\r\n                if (part1 == 0) {\r\n                    if (part0 < 1 << 14)\r\n                        return part0 < 1 << 7 ? 1 : 2;\r\n                    else\r\n                        return part0 < 1 << 21 ? 3 : 4;\r\n                } else {\r\n                    if (part1 < 1 << 14)\r\n                        return part1 < 1 << 7 ? 5 : 6;\r\n                    else\r\n                        return part1 < 1 << 21 ? 7 : 8;\r\n                }\r\n            } else\r\n                return part2 < 1 << 7 ? 9 : 10;\r\n        };\r\n\r\n        /**\r\n         * Zigzag encodes a signed 64bit integer so that it can be effectively used with varint encoding.\r\n         * @param {number|!Long} value Signed long\r\n         * @returns {!Long} Unsigned zigzag encoded long\r\n         * @expose\r\n         */\r\n        ByteBuffer.zigZagEncode64 = function(value) {\r\n            if (typeof value === 'number')\n                value = Long.fromNumber(value, false);\n            else if (typeof value === 'string')\n                value = Long.fromString(value, false);\n            else if (value.unsigned !== false) value = value.toSigned();\n            // ref: src/google/protobuf/wire_format_lite.h\r\n            return value.shiftLeft(1).xor(value.shiftRight(63)).toUnsigned();\r\n        };\r\n\r\n        /**\r\n         * Decodes a zigzag encoded signed 64bit integer.\r\n         * @param {!Long|number} value Unsigned zigzag encoded long or JavaScript number\r\n         * @returns {!Long} Signed long\r\n         * @expose\r\n         */\r\n        ByteBuffer.zigZagDecode64 = function(value) {\r\n            if (typeof value === 'number')\n                value = Long.fromNumber(value, false);\n            else if (typeof value === 'string')\n                value = Long.fromString(value, false);\n            else if (value.unsigned !== false) value = value.toSigned();\n            // ref: src/google/protobuf/wire_format_lite.h\r\n            return value.shiftRightUnsigned(1).xor(value.and(Long.ONE).toSigned().negate()).toSigned();\r\n        };\r\n\r\n        /**\r\n         * Writes a 64bit base 128 variable-length integer.\r\n         * @param {number|Long} value Value to write\r\n         * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n         *  written if omitted.\r\n         * @returns {!ByteBuffer|number} `this` if offset is omitted, else the actual number of bytes written.\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.writeVarint64 = function(value, offset) {\r\n            var relative = typeof offset === 'undefined';\n            if (relative) offset = this.offset;\n            if (!this.noAssert) {\r\n                if (typeof value === 'number')\n                    value = Long.fromNumber(value);\n                else if (typeof value === 'string')\n                    value = Long.fromString(value);\n                else if (!(value && value instanceof Long))\n                    throw TypeError(\"Illegal value: \"+value+\" (not an integer or Long)\");\n                if (typeof offset !== 'number' || offset % 1 !== 0)\n                    throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n                offset >>>= 0;\n                if (offset < 0 || offset + 0 > this.buffer.length)\n                    throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n            }\r\n            if (typeof value === 'number')\n                value = Long.fromNumber(value, false);\n            else if (typeof value === 'string')\n                value = Long.fromString(value, false);\n            else if (value.unsigned !== false) value = value.toSigned();\n            var size = ByteBuffer.calculateVarint64(value),\r\n                part0 = value.toInt() >>> 0,\r\n                part1 = value.shiftRightUnsigned(28).toInt() >>> 0,\r\n                part2 = value.shiftRightUnsigned(56).toInt() >>> 0;\r\n            offset += size;\n            var capacity11 = this.buffer.length;\n            if (offset > capacity11)\n                this.resize((capacity11 *= 2) > offset ? capacity11 : offset);\n            offset -= size;\n            switch (size) {\r\n                case 10: this.buffer[offset+9] = (part2 >>>  7) & 0x01;\r\n                case 9 : this.buffer[offset+8] = size !== 9 ? (part2       ) | 0x80 : (part2       ) & 0x7F;\r\n                case 8 : this.buffer[offset+7] = size !== 8 ? (part1 >>> 21) | 0x80 : (part1 >>> 21) & 0x7F;\r\n                case 7 : this.buffer[offset+6] = size !== 7 ? (part1 >>> 14) | 0x80 : (part1 >>> 14) & 0x7F;\r\n                case 6 : this.buffer[offset+5] = size !== 6 ? (part1 >>>  7) | 0x80 : (part1 >>>  7) & 0x7F;\r\n                case 5 : this.buffer[offset+4] = size !== 5 ? (part1       ) | 0x80 : (part1       ) & 0x7F;\r\n                case 4 : this.buffer[offset+3] = size !== 4 ? (part0 >>> 21) | 0x80 : (part0 >>> 21) & 0x7F;\r\n                case 3 : this.buffer[offset+2] = size !== 3 ? (part0 >>> 14) | 0x80 : (part0 >>> 14) & 0x7F;\r\n                case 2 : this.buffer[offset+1] = size !== 2 ? (part0 >>>  7) | 0x80 : (part0 >>>  7) & 0x7F;\r\n                case 1 : this.buffer[offset  ] = size !== 1 ? (part0       ) | 0x80 : (part0       ) & 0x7F;\r\n            }\r\n            if (relative) {\r\n                this.offset += size;\r\n                return this;\r\n            } else {\r\n                return size;\r\n            }\r\n        };\r\n\r\n        /**\r\n         * Writes a zig-zag encoded 64bit base 128 variable-length integer.\r\n         * @param {number|Long} value Value to write\r\n         * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n         *  written if omitted.\r\n         * @returns {!ByteBuffer|number} `this` if offset is omitted, else the actual number of bytes written.\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.writeVarint64ZigZag = function(value, offset) {\r\n            return this.writeVarint64(ByteBuffer.zigZagEncode64(value), offset);\r\n        };\r\n\r\n        /**\r\n         * Reads a 64bit base 128 variable-length integer. Requires Long.js.\r\n         * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n         *  read if omitted.\r\n         * @returns {!Long|!{value: Long, length: number}} The value read if offset is omitted, else the value read and\r\n         *  the actual number of bytes read.\r\n         * @throws {Error} If it's not a valid varint\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.readVarint64 = function(offset) {\r\n            var relative = typeof offset === 'undefined';\n            if (relative) offset = this.offset;\n            if (!this.noAssert) {\r\n                if (typeof offset !== 'number' || offset % 1 !== 0)\n                    throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n                offset >>>= 0;\n                if (offset < 0 || offset + 1 > this.buffer.length)\n                    throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+1+\") <= \"+this.buffer.length);\n            }\r\n            // ref: src/google/protobuf/io/coded_stream.cc\r\n            var start = offset,\r\n                part0 = 0,\r\n                part1 = 0,\r\n                part2 = 0,\r\n                b  = 0;\r\n            b = this.buffer[offset++]; part0  = (b & 0x7F)      ; if ( b & 0x80                                                   ) {\r\n            b = this.buffer[offset++]; part0 |= (b & 0x7F) <<  7; if ((b & 0x80) || (this.noAssert && typeof b === 'undefined')) {\r\n            b = this.buffer[offset++]; part0 |= (b & 0x7F) << 14; if ((b & 0x80) || (this.noAssert && typeof b === 'undefined')) {\r\n            b = this.buffer[offset++]; part0 |= (b & 0x7F) << 21; if ((b & 0x80) || (this.noAssert && typeof b === 'undefined')) {\r\n            b = this.buffer[offset++]; part1  = (b & 0x7F)      ; if ((b & 0x80) || (this.noAssert && typeof b === 'undefined')) {\r\n            b = this.buffer[offset++]; part1 |= (b & 0x7F) <<  7; if ((b & 0x80) || (this.noAssert && typeof b === 'undefined')) {\r\n            b = this.buffer[offset++]; part1 |= (b & 0x7F) << 14; if ((b & 0x80) || (this.noAssert && typeof b === 'undefined')) {\r\n            b = this.buffer[offset++]; part1 |= (b & 0x7F) << 21; if ((b & 0x80) || (this.noAssert && typeof b === 'undefined')) {\r\n            b = this.buffer[offset++]; part2  = (b & 0x7F)      ; if ((b & 0x80) || (this.noAssert && typeof b === 'undefined')) {\r\n            b = this.buffer[offset++]; part2 |= (b & 0x7F) <<  7; if ((b & 0x80) || (this.noAssert && typeof b === 'undefined')) {\r\n            throw Error(\"Buffer overrun\"); }}}}}}}}}}\r\n            var value = Long.fromBits(part0 | (part1 << 28), (part1 >>> 4) | (part2) << 24, false);\r\n            if (relative) {\r\n                this.offset = offset;\r\n                return value;\r\n            } else {\r\n                return {\r\n                    'value': value,\r\n                    'length': offset-start\r\n                };\r\n            }\r\n        };\r\n\r\n        /**\r\n         * Reads a zig-zag encoded 64bit base 128 variable-length integer. Requires Long.js.\r\n         * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n         *  read if omitted.\r\n         * @returns {!Long|!{value: Long, length: number}} The value read if offset is omitted, else the value read and\r\n         *  the actual number of bytes read.\r\n         * @throws {Error} If it's not a valid varint\r\n         * @expose\r\n         */\r\n        ByteBufferPrototype.readVarint64ZigZag = function(offset) {\r\n            var val = this.readVarint64(offset);\r\n            if (val && val['value'] instanceof Long)\r\n                val[\"value\"] = ByteBuffer.zigZagDecode64(val[\"value\"]);\r\n            else\r\n                val = ByteBuffer.zigZagDecode64(val);\r\n            return val;\r\n        };\r\n\r\n    } // Long\r\n\r\n\r\n    // types/strings/cstring\r\n\r\n    /**\r\n     * Writes a NULL-terminated UTF8 encoded string. For this to work the specified string must not contain any NULL\r\n     *  characters itself.\r\n     * @param {string} str String to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  contained in `str` + 1 if omitted.\r\n     * @returns {!ByteBuffer|number} this if offset is omitted, else the actual number of bytes written\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeCString = function(str, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        var i,\r\n            k = str.length;\r\n        if (!this.noAssert) {\r\n            if (typeof str !== 'string')\r\n                throw TypeError(\"Illegal str: Not a string\");\r\n            for (i=0; i<k; ++i) {\r\n                if (str.charCodeAt(i) === 0)\r\n                    throw RangeError(\"Illegal str: Contains NULL-characters\");\r\n            }\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        // UTF8 strings do not contain zero bytes in between except for the zero character, so:\r\n        k = Buffer.byteLength(str, \"utf8\");\r\n        offset += k+1;\n        var capacity12 = this.buffer.length;\n        if (offset > capacity12)\n            this.resize((capacity12 *= 2) > offset ? capacity12 : offset);\n        offset -= k+1;\n        offset += this.buffer.write(str, offset, k, \"utf8\");\r\n        this.buffer[offset++] = 0;\r\n        if (relative) {\r\n            this.offset = offset;\r\n            return this;\r\n        }\r\n        return k;\r\n    };\r\n\r\n    /**\r\n     * Reads a NULL-terminated UTF8 encoded string. For this to work the string read must not contain any NULL characters\r\n     *  itself.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  read if omitted.\r\n     * @returns {string|!{string: string, length: number}} The string read if offset is omitted, else the string\r\n     *  read and the actual number of bytes read.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readCString = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 1 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+1+\") <= \"+this.buffer.length);\n        }\r\n        var start = offset,\r\n            temp;\r\n        // UTF8 strings do not contain zero bytes in between except for the zero character itself, so:\r\n        do {\r\n            if (offset >= this.buffer.length)\r\n                throw RangeError(\"Index out of range: \"+offset+\" <= \"+this.buffer.length);\r\n            temp = this.buffer[offset++];\r\n        } while (temp !== 0);\r\n        var str = this.buffer.toString(\"utf8\", start, offset-1);\r\n        if (relative) {\r\n            this.offset = offset;\r\n            return str;\r\n        } else {\r\n            return {\r\n                \"string\": str,\r\n                \"length\": offset - start\r\n            };\r\n        }\r\n    };\r\n\r\n    // types/strings/istring\r\n\r\n    /**\r\n     * Writes a length as uint32 prefixed UTF8 encoded string.\r\n     * @param {string} str String to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  written if omitted.\r\n     * @returns {!ByteBuffer|number} `this` if `offset` is omitted, else the actual number of bytes written\r\n     * @expose\r\n     * @see ByteBuffer#writeVarint32\r\n     */\r\n    ByteBufferPrototype.writeIString = function(str, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof str !== 'string')\r\n                throw TypeError(\"Illegal str: Not a string\");\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        var start = offset,\r\n            k;\r\n        k = Buffer.byteLength(str, \"utf8\");\r\n        offset += 4+k;\n        var capacity13 = this.buffer.length;\n        if (offset > capacity13)\n            this.resize((capacity13 *= 2) > offset ? capacity13 : offset);\n        offset -= 4+k;\n        if (this.littleEndian) {\n            this.buffer[offset+3] = (k >>> 24) & 0xFF;\n            this.buffer[offset+2] = (k >>> 16) & 0xFF;\n            this.buffer[offset+1] = (k >>>  8) & 0xFF;\n            this.buffer[offset  ] =  k         & 0xFF;\n        } else {\n            this.buffer[offset  ] = (k >>> 24) & 0xFF;\n            this.buffer[offset+1] = (k >>> 16) & 0xFF;\n            this.buffer[offset+2] = (k >>>  8) & 0xFF;\n            this.buffer[offset+3] =  k         & 0xFF;\n        }\n        offset += 4;\r\n        offset += this.buffer.write(str, offset, k, \"utf8\");\r\n        if (relative) {\r\n            this.offset = offset;\r\n            return this;\r\n        }\r\n        return offset - start;\r\n    };\r\n\r\n    /**\r\n     * Reads a length as uint32 prefixed UTF8 encoded string.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  read if omitted.\r\n     * @returns {string|!{string: string, length: number}} The string read if offset is omitted, else the string\r\n     *  read and the actual number of bytes read.\r\n     * @expose\r\n     * @see ByteBuffer#readVarint32\r\n     */\r\n    ByteBufferPrototype.readIString = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 4 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+4+\") <= \"+this.buffer.length);\n        }\r\n        var start = offset;\r\n        var len = this.readUint32(offset);\r\n        var str = this.readUTF8String(len, ByteBuffer.METRICS_BYTES, offset += 4);\r\n        offset += str['length'];\r\n        if (relative) {\r\n            this.offset = offset;\r\n            return str['string'];\r\n        } else {\r\n            return {\r\n                'string': str['string'],\r\n                'length': offset - start\r\n            };\r\n        }\r\n    };\r\n\r\n    // types/strings/utf8string\r\n\r\n    /**\r\n     * Metrics representing number of UTF8 characters. Evaluates to `c`.\r\n     * @type {string}\r\n     * @const\r\n     * @expose\r\n     */\r\n    ByteBuffer.METRICS_CHARS = 'c';\r\n\r\n    /**\r\n     * Metrics representing number of bytes. Evaluates to `b`.\r\n     * @type {string}\r\n     * @const\r\n     * @expose\r\n     */\r\n    ByteBuffer.METRICS_BYTES = 'b';\r\n\r\n    /**\r\n     * Writes an UTF8 encoded string.\r\n     * @param {string} str String to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} if omitted.\r\n     * @returns {!ByteBuffer|number} this if offset is omitted, else the actual number of bytes written.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeUTF8String = function(str, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        var k;\r\n        k = Buffer.byteLength(str, \"utf8\");\r\n        offset += k;\n        var capacity14 = this.buffer.length;\n        if (offset > capacity14)\n            this.resize((capacity14 *= 2) > offset ? capacity14 : offset);\n        offset -= k;\n        offset += this.buffer.write(str, offset, k, \"utf8\");\r\n        if (relative) {\r\n            this.offset = offset;\r\n            return this;\r\n        }\r\n        return k;\r\n    };\r\n\r\n    /**\r\n     * Writes an UTF8 encoded string. This is an alias of {@link ByteBuffer#writeUTF8String}.\r\n     * @function\r\n     * @param {string} str String to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} if omitted.\r\n     * @returns {!ByteBuffer|number} this if offset is omitted, else the actual number of bytes written.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.writeString = ByteBufferPrototype.writeUTF8String;\r\n\r\n    /**\r\n     * Calculates the number of UTF8 characters of a string. JavaScript itself uses UTF-16, so that a string's\r\n     *  `length` property does not reflect its actual UTF8 size if it contains code points larger than 0xFFFF.\r\n     * @param {string} str String to calculate\r\n     * @returns {number} Number of UTF8 characters\r\n     * @expose\r\n     */\r\n    ByteBuffer.calculateUTF8Chars = function(str) {\r\n        return utfx.calculateUTF16asUTF8(stringSource(str))[0];\r\n    };\r\n\r\n    /**\r\n     * Calculates the number of UTF8 bytes of a string.\r\n     * @param {string} str String to calculate\r\n     * @returns {number} Number of UTF8 bytes\r\n     * @expose\r\n     */\r\n    ByteBuffer.calculateUTF8Bytes = function(str) {\r\n        if (typeof str !== 'string')\r\n            throw TypeError(\"Illegal argument: \"+(typeof str));\r\n        return Buffer.byteLength(str, \"utf8\");\r\n    };\r\n\r\n    /**\r\n     * Calculates the number of UTF8 bytes of a string. This is an alias of {@link ByteBuffer.calculateUTF8Bytes}.\r\n     * @function\r\n     * @param {string} str String to calculate\r\n     * @returns {number} Number of UTF8 bytes\r\n     * @expose\r\n     */\r\n    ByteBuffer.calculateString = ByteBuffer.calculateUTF8Bytes;\r\n\r\n    /**\r\n     * Reads an UTF8 encoded string.\r\n     * @param {number} length Number of characters or bytes to read.\r\n     * @param {string=} metrics Metrics specifying what `length` is meant to count. Defaults to\r\n     *  {@link ByteBuffer.METRICS_CHARS}.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  read if omitted.\r\n     * @returns {string|!{string: string, length: number}} The string read if offset is omitted, else the string\r\n     *  read and the actual number of bytes read.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readUTF8String = function(length, metrics, offset) {\r\n        if (typeof metrics === 'number') {\r\n            offset = metrics;\r\n            metrics = undefined;\r\n        }\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (typeof metrics === 'undefined') metrics = ByteBuffer.METRICS_CHARS;\r\n        if (!this.noAssert) {\r\n            if (typeof length !== 'number' || length % 1 !== 0)\n                throw TypeError(\"Illegal length: \"+length+\" (not an integer)\");\n            length |= 0;\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        var i = 0,\r\n            start = offset,\r\n            temp,\r\n            sd;\r\n        if (metrics === ByteBuffer.METRICS_CHARS) { // The same for node and the browser\r\n            sd = stringDestination();\r\n            utfx.decodeUTF8(function() {\r\n                return i < length && offset < this.limit ? this.buffer[offset++] : null;\r\n            }.bind(this), function(cp) {\r\n                ++i; utfx.UTF8toUTF16(cp, sd);\r\n            });\r\n            if (i !== length)\r\n                throw RangeError(\"Illegal range: Truncated data, \"+i+\" == \"+length);\r\n            if (relative) {\r\n                this.offset = offset;\r\n                return sd();\r\n            } else {\r\n                return {\r\n                    \"string\": sd(),\r\n                    \"length\": offset - start\r\n                };\r\n            }\r\n        } else if (metrics === ByteBuffer.METRICS_BYTES) {\r\n            if (!this.noAssert) {\r\n                if (typeof offset !== 'number' || offset % 1 !== 0)\n                    throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n                offset >>>= 0;\n                if (offset < 0 || offset + length > this.buffer.length)\n                    throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+length+\") <= \"+this.buffer.length);\n            }\r\n            temp = this.buffer.toString(\"utf8\", offset, offset+length);\r\n            if (relative) {\r\n                this.offset += length;\r\n                return temp;\r\n            } else {\r\n                return {\r\n                    'string': temp,\r\n                    'length': length\r\n                };\r\n            }\r\n        } else\r\n            throw TypeError(\"Unsupported metrics: \"+metrics);\r\n    };\r\n\r\n    /**\r\n     * Reads an UTF8 encoded string. This is an alias of {@link ByteBuffer#readUTF8String}.\r\n     * @function\r\n     * @param {number} length Number of characters or bytes to read\r\n     * @param {number=} metrics Metrics specifying what `n` is meant to count. Defaults to\r\n     *  {@link ByteBuffer.METRICS_CHARS}.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  read if omitted.\r\n     * @returns {string|!{string: string, length: number}} The string read if offset is omitted, else the string\r\n     *  read and the actual number of bytes read.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.readString = ByteBufferPrototype.readUTF8String;\r\n\r\n    // types/strings/vstring\r\n\r\n    /**\r\n     * Writes a length as varint32 prefixed UTF8 encoded string.\r\n     * @param {string} str String to write\r\n     * @param {number=} offset Offset to write to. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  written if omitted.\r\n     * @returns {!ByteBuffer|number} `this` if `offset` is omitted, else the actual number of bytes written\r\n     * @expose\r\n     * @see ByteBuffer#writeVarint32\r\n     */\r\n    ByteBufferPrototype.writeVString = function(str, offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof str !== 'string')\r\n                throw TypeError(\"Illegal str: Not a string\");\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        var start = offset,\r\n            k, l;\r\n        k = Buffer.byteLength(str, \"utf8\");\r\n        l = ByteBuffer.calculateVarint32(k);\r\n        offset += l+k;\n        var capacity15 = this.buffer.length;\n        if (offset > capacity15)\n            this.resize((capacity15 *= 2) > offset ? capacity15 : offset);\n        offset -= l+k;\n        offset += this.writeVarint32(k, offset);\r\n        offset += this.buffer.write(str, offset, k, \"utf8\");\r\n        if (relative) {\r\n            this.offset = offset;\r\n            return this;\r\n        }\r\n        return offset - start;\r\n    };\r\n\r\n    /**\r\n     * Reads a length as varint32 prefixed UTF8 encoded string.\r\n     * @param {number=} offset Offset to read from. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  read if omitted.\r\n     * @returns {string|!{string: string, length: number}} The string read if offset is omitted, else the string\r\n     *  read and the actual number of bytes read.\r\n     * @expose\r\n     * @see ByteBuffer#readVarint32\r\n     */\r\n    ByteBufferPrototype.readVString = function(offset) {\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 1 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+1+\") <= \"+this.buffer.length);\n        }\r\n        var start = offset;\r\n        var len = this.readVarint32(offset);\r\n        var str = this.readUTF8String(len['value'], ByteBuffer.METRICS_BYTES, offset += len['length']);\r\n        offset += str['length'];\r\n        if (relative) {\r\n            this.offset = offset;\r\n            return str['string'];\r\n        } else {\r\n            return {\r\n                'string': str['string'],\r\n                'length': offset - start\r\n            };\r\n        }\r\n    };\r\n\r\n\r\n    /**\r\n     * Appends some data to this ByteBuffer. This will overwrite any contents behind the specified offset up to the appended\r\n     *  data's length.\r\n     * @param {!ByteBuffer|!Buffer|!ArrayBuffer|!Uint8Array|string} source Data to append. If `source` is a ByteBuffer, its\r\n     * offsets will be modified according to the performed read operation.\r\n     * @param {(string|number)=} encoding Encoding if `data` is a string (\"base64\", \"hex\", \"binary\", defaults to \"utf8\")\r\n     * @param {number=} offset Offset to append at. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  written if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     * @example A relative `<01 02>03.append(<04 05>)` will result in `<01 02 04 05>, 04 05|`\r\n     * @example An absolute `<01 02>03.append(04 05>, 1)` will result in `<01 04>05, 04 05|`\r\n     */\r\n    ByteBufferPrototype.append = function(source, encoding, offset) {\r\n        if (typeof encoding === 'number' || typeof encoding !== 'string') {\r\n            offset = encoding;\r\n            encoding = undefined;\r\n        }\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        if (!(source instanceof ByteBuffer))\r\n            source = ByteBuffer.wrap(source, encoding);\r\n        var length = source.limit - source.offset;\r\n        if (length <= 0) return this; // Nothing to append\r\n        offset += length;\n        var capacity16 = this.buffer.length;\n        if (offset > capacity16)\n            this.resize((capacity16 *= 2) > offset ? capacity16 : offset);\n        offset -= length;\n        source.buffer.copy(this.buffer, offset, source.offset, source.limit);\r\n        source.offset += length;\r\n        if (relative) this.offset += length;\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Appends this ByteBuffer's contents to another ByteBuffer. This will overwrite any contents at and after the\r\n        specified offset up to the length of this ByteBuffer's data.\r\n     * @param {!ByteBuffer} target Target ByteBuffer\r\n     * @param {number=} offset Offset to append to. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  read if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     * @see ByteBuffer#append\r\n     */\r\n    ByteBufferPrototype.appendTo = function(target, offset) {\r\n        target.append(this, offset);\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Enables or disables assertions of argument types and offsets. Assertions are enabled by default but you can opt to\r\n     *  disable them if your code already makes sure that everything is valid.\r\n     * @param {boolean} assert `true` to enable assertions, otherwise `false`\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.assert = function(assert) {\r\n        this.noAssert = !assert;\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Gets the capacity of this ByteBuffer's backing buffer.\r\n     * @returns {number} Capacity of the backing buffer\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.capacity = function() {\r\n        return this.buffer.length;\r\n    };\r\n    /**\r\n     * Clears this ByteBuffer's offsets by setting {@link ByteBuffer#offset} to `0` and {@link ByteBuffer#limit} to the\r\n     *  backing buffer's capacity. Discards {@link ByteBuffer#markedOffset}.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.clear = function() {\r\n        this.offset = 0;\r\n        this.limit = this.buffer.length;\r\n        this.markedOffset = -1;\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Creates a cloned instance of this ByteBuffer, preset with this ByteBuffer's values for {@link ByteBuffer#offset},\r\n     *  {@link ByteBuffer#markedOffset} and {@link ByteBuffer#limit}.\r\n     * @param {boolean=} copy Whether to copy the backing buffer or to return another view on the same, defaults to `false`\r\n     * @returns {!ByteBuffer} Cloned instance\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.clone = function(copy) {\r\n        var bb = new ByteBuffer(0, this.littleEndian, this.noAssert);\r\n        if (copy) {\r\n            var buffer = Buffer.alloc(this.buffer.length);\r\n            this.buffer.copy(buffer);\r\n            bb.buffer = buffer;\r\n        } else {\r\n            bb.buffer = this.buffer;\r\n        }\r\n        bb.offset = this.offset;\r\n        bb.markedOffset = this.markedOffset;\r\n        bb.limit = this.limit;\r\n        return bb;\r\n    };\r\n\r\n    /**\r\n     * Compacts this ByteBuffer to be backed by a {@link ByteBuffer#buffer} of its contents' length. Contents are the bytes\r\n     *  between {@link ByteBuffer#offset} and {@link ByteBuffer#limit}. Will set `offset = 0` and `limit = capacity` and\r\n     *  adapt {@link ByteBuffer#markedOffset} to the same relative position if set.\r\n     * @param {number=} begin Offset to start at, defaults to {@link ByteBuffer#offset}\r\n     * @param {number=} end Offset to end at, defaults to {@link ByteBuffer#limit}\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.compact = function(begin, end) {\r\n        if (typeof begin === 'undefined') begin = this.offset;\r\n        if (typeof end === 'undefined') end = this.limit;\r\n        if (!this.noAssert) {\r\n            if (typeof begin !== 'number' || begin % 1 !== 0)\n                throw TypeError(\"Illegal begin: Not an integer\");\n            begin >>>= 0;\n            if (typeof end !== 'number' || end % 1 !== 0)\n                throw TypeError(\"Illegal end: Not an integer\");\n            end >>>= 0;\n            if (begin < 0 || begin > end || end > this.buffer.length)\n                throw RangeError(\"Illegal range: 0 <= \"+begin+\" <= \"+end+\" <= \"+this.buffer.length);\n        }\r\n        if (begin === 0 && end === this.buffer.length)\r\n            return this; // Already compacted\r\n        var len = end - begin;\r\n        if (len === 0) {\r\n            this.buffer = EMPTY_BUFFER;\r\n            if (this.markedOffset >= 0) this.markedOffset -= begin;\r\n            this.offset = 0;\r\n            this.limit = 0;\r\n            return this;\r\n        }\r\n        var buffer = Buffer.alloc(len);\r\n        this.buffer.copy(buffer, 0, begin, end);\r\n        this.buffer = buffer;\r\n        if (this.markedOffset >= 0) this.markedOffset -= begin;\r\n        this.offset = 0;\r\n        this.limit = len;\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Creates a copy of this ByteBuffer's contents. Contents are the bytes between {@link ByteBuffer#offset} and\r\n     *  {@link ByteBuffer#limit}.\r\n     * @param {number=} begin Begin offset, defaults to {@link ByteBuffer#offset}.\r\n     * @param {number=} end End offset, defaults to {@link ByteBuffer#limit}.\r\n     * @returns {!ByteBuffer} Copy\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.copy = function(begin, end) {\r\n        if (typeof begin === 'undefined') begin = this.offset;\r\n        if (typeof end === 'undefined') end = this.limit;\r\n        if (!this.noAssert) {\r\n            if (typeof begin !== 'number' || begin % 1 !== 0)\n                throw TypeError(\"Illegal begin: Not an integer\");\n            begin >>>= 0;\n            if (typeof end !== 'number' || end % 1 !== 0)\n                throw TypeError(\"Illegal end: Not an integer\");\n            end >>>= 0;\n            if (begin < 0 || begin > end || end > this.buffer.length)\n                throw RangeError(\"Illegal range: 0 <= \"+begin+\" <= \"+end+\" <= \"+this.buffer.length);\n        }\r\n        if (begin === end)\r\n            return new ByteBuffer(0, this.littleEndian, this.noAssert);\r\n        var capacity = end - begin,\r\n            bb = new ByteBuffer(capacity, this.littleEndian, this.noAssert);\r\n        bb.offset = 0;\r\n        bb.limit = capacity;\r\n        if (bb.markedOffset >= 0) bb.markedOffset -= begin;\r\n        this.copyTo(bb, 0, begin, end);\r\n        return bb;\r\n    };\r\n\r\n    /**\r\n     * Copies this ByteBuffer's contents to another ByteBuffer. Contents are the bytes between {@link ByteBuffer#offset} and\r\n     *  {@link ByteBuffer#limit}.\r\n     * @param {!ByteBuffer} target Target ByteBuffer\r\n     * @param {number=} targetOffset Offset to copy to. Will use and increase the target's {@link ByteBuffer#offset}\r\n     *  by the number of bytes copied if omitted.\r\n     * @param {number=} sourceOffset Offset to start copying from. Will use and increase {@link ByteBuffer#offset} by the\r\n     *  number of bytes copied if omitted.\r\n     * @param {number=} sourceLimit Offset to end copying from, defaults to {@link ByteBuffer#limit}\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.copyTo = function(target, targetOffset, sourceOffset, sourceLimit) {\r\n        var relative,\r\n            targetRelative;\r\n        if (!this.noAssert) {\r\n            if (!ByteBuffer.isByteBuffer(target))\r\n                throw TypeError(\"Illegal target: Not a ByteBuffer\");\r\n        }\r\n        targetOffset = (targetRelative = typeof targetOffset === 'undefined') ? target.offset : targetOffset | 0;\r\n        sourceOffset = (relative = typeof sourceOffset === 'undefined') ? this.offset : sourceOffset | 0;\r\n        sourceLimit = typeof sourceLimit === 'undefined' ? this.limit : sourceLimit | 0;\r\n\r\n        if (targetOffset < 0 || targetOffset > target.buffer.length)\r\n            throw RangeError(\"Illegal target range: 0 <= \"+targetOffset+\" <= \"+target.buffer.length);\r\n        if (sourceOffset < 0 || sourceLimit > this.buffer.length)\r\n            throw RangeError(\"Illegal source range: 0 <= \"+sourceOffset+\" <= \"+this.buffer.length);\r\n\r\n        var len = sourceLimit - sourceOffset;\r\n        if (len === 0)\r\n            return target; // Nothing to copy\r\n\r\n        target.ensureCapacity(targetOffset + len);\r\n\r\n        this.buffer.copy(target.buffer, targetOffset, sourceOffset, sourceLimit);\r\n\r\n        if (relative) this.offset += len;\r\n        if (targetRelative) target.offset += len;\r\n\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Makes sure that this ByteBuffer is backed by a {@link ByteBuffer#buffer} of at least the specified capacity. If the\r\n     *  current capacity is exceeded, it will be doubled. If double the current capacity is less than the required capacity,\r\n     *  the required capacity will be used instead.\r\n     * @param {number} capacity Required capacity\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.ensureCapacity = function(capacity) {\r\n        var current = this.buffer.length;\r\n        if (current < capacity)\r\n            return this.resize((current *= 2) > capacity ? current : capacity);\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Overwrites this ByteBuffer's contents with the specified value. Contents are the bytes between\r\n     *  {@link ByteBuffer#offset} and {@link ByteBuffer#limit}.\r\n     * @param {number|string} value Byte value to fill with. If given as a string, the first character is used.\r\n     * @param {number=} begin Begin offset. Will use and increase {@link ByteBuffer#offset} by the number of bytes\r\n     *  written if omitted. defaults to {@link ByteBuffer#offset}.\r\n     * @param {number=} end End offset, defaults to {@link ByteBuffer#limit}.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     * @example `someByteBuffer.clear().fill(0)` fills the entire backing buffer with zeroes\r\n     */\r\n    ByteBufferPrototype.fill = function(value, begin, end) {\r\n        var relative = typeof begin === 'undefined';\n        if (relative) begin = this.offset;\n        if (typeof value === 'string' && value.length > 0)\r\n            value = value.charCodeAt(0);\r\n        if (typeof begin === 'undefined') begin = this.offset;\r\n        if (typeof end === 'undefined') end = this.limit;\r\n        if (!this.noAssert) {\r\n            if (typeof value !== 'number' || value % 1 !== 0)\n                throw TypeError(\"Illegal value: \"+value+\" (not an integer)\");\n            value |= 0;\n            if (typeof begin !== 'number' || begin % 1 !== 0)\n                throw TypeError(\"Illegal begin: Not an integer\");\n            begin >>>= 0;\n            if (typeof end !== 'number' || end % 1 !== 0)\n                throw TypeError(\"Illegal end: Not an integer\");\n            end >>>= 0;\n            if (begin < 0 || begin > end || end > this.buffer.length)\n                throw RangeError(\"Illegal range: 0 <= \"+begin+\" <= \"+end+\" <= \"+this.buffer.length);\n        }\r\n        if (begin >= end)\r\n            return this; // Nothing to fill\r\n        this.buffer.fill(value, begin, end);\r\n        begin = end;\r\n        if (relative) this.offset = begin;\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Makes this ByteBuffer ready for a new sequence of write or relative read operations. Sets `limit = offset` and\r\n     *  `offset = 0`. Make sure always to flip a ByteBuffer when all relative read or write operations are complete.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.flip = function() {\r\n        this.limit = this.offset;\r\n        this.offset = 0;\r\n        return this;\r\n    };\r\n    /**\r\n     * Marks an offset on this ByteBuffer to be used later.\r\n     * @param {number=} offset Offset to mark. Defaults to {@link ByteBuffer#offset}.\r\n     * @returns {!ByteBuffer} this\r\n     * @throws {TypeError} If `offset` is not a valid number\r\n     * @throws {RangeError} If `offset` is out of bounds\r\n     * @see ByteBuffer#reset\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.mark = function(offset) {\r\n        offset = typeof offset === 'undefined' ? this.offset : offset;\r\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        this.markedOffset = offset;\r\n        return this;\r\n    };\r\n    /**\r\n     * Sets the byte order.\r\n     * @param {boolean} littleEndian `true` for little endian byte order, `false` for big endian\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.order = function(littleEndian) {\r\n        if (!this.noAssert) {\r\n            if (typeof littleEndian !== 'boolean')\r\n                throw TypeError(\"Illegal littleEndian: Not a boolean\");\r\n        }\r\n        this.littleEndian = !!littleEndian;\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Switches (to) little endian byte order.\r\n     * @param {boolean=} littleEndian Defaults to `true`, otherwise uses big endian\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.LE = function(littleEndian) {\r\n        this.littleEndian = typeof littleEndian !== 'undefined' ? !!littleEndian : true;\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Switches (to) big endian byte order.\r\n     * @param {boolean=} bigEndian Defaults to `true`, otherwise uses little endian\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.BE = function(bigEndian) {\r\n        this.littleEndian = typeof bigEndian !== 'undefined' ? !bigEndian : false;\r\n        return this;\r\n    };\r\n    /**\r\n     * Prepends some data to this ByteBuffer. This will overwrite any contents before the specified offset up to the\r\n     *  prepended data's length. If there is not enough space available before the specified `offset`, the backing buffer\r\n     *  will be resized and its contents moved accordingly.\r\n     * @param {!ByteBuffer|string||!Buffer} source Data to prepend. If `source` is a ByteBuffer, its offset will be modified\r\n     *  according to the performed read operation.\r\n     * @param {(string|number)=} encoding Encoding if `data` is a string (\"base64\", \"hex\", \"binary\", defaults to \"utf8\")\r\n     * @param {number=} offset Offset to prepend at. Will use and decrease {@link ByteBuffer#offset} by the number of bytes\r\n     *  prepended if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     * @example A relative `00<01 02 03>.prepend(<04 05>)` results in `<04 05 01 02 03>, 04 05|`\r\n     * @example An absolute `00<01 02 03>.prepend(<04 05>, 2)` results in `04<05 02 03>, 04 05|`\r\n     */\r\n    ByteBufferPrototype.prepend = function(source, encoding, offset) {\r\n        if (typeof encoding === 'number' || typeof encoding !== 'string') {\r\n            offset = encoding;\r\n            encoding = undefined;\r\n        }\r\n        var relative = typeof offset === 'undefined';\n        if (relative) offset = this.offset;\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: \"+offset+\" (not an integer)\");\n            offset >>>= 0;\n            if (offset < 0 || offset + 0 > this.buffer.length)\n                throw RangeError(\"Illegal offset: 0 <= \"+offset+\" (+\"+0+\") <= \"+this.buffer.length);\n        }\r\n        if (!(source instanceof ByteBuffer))\r\n            source = ByteBuffer.wrap(source, encoding);\r\n        var len = source.limit - source.offset;\r\n        if (len <= 0) return this; // Nothing to prepend\r\n        var diff = len - offset;\r\n        if (diff > 0) { // Not enough space before offset, so resize + move\r\n            var buffer = Buffer.alloc(this.buffer.length + diff);\r\n            this.buffer.copy(buffer, len, offset, this.buffer.length);\r\n            this.buffer = buffer;\r\n            this.offset += diff;\r\n            if (this.markedOffset >= 0) this.markedOffset += diff;\r\n            this.limit += diff;\r\n            offset += diff;\r\n        }        source.buffer.copy(this.buffer, offset - len, source.offset, source.limit);\r\n\r\n        source.offset = source.limit;\r\n        if (relative)\r\n            this.offset -= len;\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Prepends this ByteBuffer to another ByteBuffer. This will overwrite any contents before the specified offset up to the\r\n     *  prepended data's length. If there is not enough space available before the specified `offset`, the backing buffer\r\n     *  will be resized and its contents moved accordingly.\r\n     * @param {!ByteBuffer} target Target ByteBuffer\r\n     * @param {number=} offset Offset to prepend at. Will use and decrease {@link ByteBuffer#offset} by the number of bytes\r\n     *  prepended if omitted.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     * @see ByteBuffer#prepend\r\n     */\r\n    ByteBufferPrototype.prependTo = function(target, offset) {\r\n        target.prepend(this, offset);\r\n        return this;\r\n    };\r\n    /**\r\n     * Prints debug information about this ByteBuffer's contents.\r\n     * @param {function(string)=} out Output function to call, defaults to console.log\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.printDebug = function(out) {\r\n        if (typeof out !== 'function') out = console.log.bind(console);\r\n        out(\r\n            this.toString()+\"\\n\"+\r\n            \"-------------------------------------------------------------------\\n\"+\r\n            this.toDebug(/* columns */ true)\r\n        );\r\n    };\r\n\r\n    /**\r\n     * Gets the number of remaining readable bytes. Contents are the bytes between {@link ByteBuffer#offset} and\r\n     *  {@link ByteBuffer#limit}, so this returns `limit - offset`.\r\n     * @returns {number} Remaining readable bytes. May be negative if `offset > limit`.\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.remaining = function() {\r\n        return this.limit - this.offset;\r\n    };\r\n    /**\r\n     * Resets this ByteBuffer's {@link ByteBuffer#offset}. If an offset has been marked through {@link ByteBuffer#mark}\r\n     *  before, `offset` will be set to {@link ByteBuffer#markedOffset}, which will then be discarded. If no offset has been\r\n     *  marked, sets `offset = 0`.\r\n     * @returns {!ByteBuffer} this\r\n     * @see ByteBuffer#mark\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.reset = function() {\r\n        if (this.markedOffset >= 0) {\r\n            this.offset = this.markedOffset;\r\n            this.markedOffset = -1;\r\n        } else {\r\n            this.offset = 0;\r\n        }\r\n        return this;\r\n    };\r\n    /**\r\n     * Resizes this ByteBuffer to be backed by a buffer of at least the given capacity. Will do nothing if already that\r\n     *  large or larger.\r\n     * @param {number} capacity Capacity required\r\n     * @returns {!ByteBuffer} this\r\n     * @throws {TypeError} If `capacity` is not a number\r\n     * @throws {RangeError} If `capacity < 0`\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.resize = function(capacity) {\r\n        if (!this.noAssert) {\r\n            if (typeof capacity !== 'number' || capacity % 1 !== 0)\n                throw TypeError(\"Illegal capacity: \"+capacity+\" (not an integer)\");\n            capacity |= 0;\n            if (capacity < 0)\r\n                throw RangeError(\"Illegal capacity: 0 <= \"+capacity);\r\n        }\r\n        if (this.buffer.length < capacity) {\r\n            var buffer = Buffer.alloc(capacity);\r\n            this.buffer.copy(buffer);\r\n            this.buffer = buffer;\r\n        }\r\n        return this;\r\n    };\r\n    /**\r\n     * Reverses this ByteBuffer's contents.\r\n     * @param {number=} begin Offset to start at, defaults to {@link ByteBuffer#offset}\r\n     * @param {number=} end Offset to end at, defaults to {@link ByteBuffer#limit}\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.reverse = function(begin, end) {\r\n        if (typeof begin === 'undefined') begin = this.offset;\r\n        if (typeof end === 'undefined') end = this.limit;\r\n        if (!this.noAssert) {\r\n            if (typeof begin !== 'number' || begin % 1 !== 0)\n                throw TypeError(\"Illegal begin: Not an integer\");\n            begin >>>= 0;\n            if (typeof end !== 'number' || end % 1 !== 0)\n                throw TypeError(\"Illegal end: Not an integer\");\n            end >>>= 0;\n            if (begin < 0 || begin > end || end > this.buffer.length)\n                throw RangeError(\"Illegal range: 0 <= \"+begin+\" <= \"+end+\" <= \"+this.buffer.length);\n        }\r\n        if (begin === end)\r\n            return this; // Nothing to reverse\r\n        Array.prototype.reverse.call(this.buffer.slice(begin, end));\r\n        return this;\r\n    };\r\n    /**\r\n     * Skips the next `length` bytes. This will just advance\r\n     * @param {number} length Number of bytes to skip. May also be negative to move the offset back.\r\n     * @returns {!ByteBuffer} this\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.skip = function(length) {\r\n        if (!this.noAssert) {\r\n            if (typeof length !== 'number' || length % 1 !== 0)\n                throw TypeError(\"Illegal length: \"+length+\" (not an integer)\");\n            length |= 0;\n        }\r\n        var offset = this.offset + length;\r\n        if (!this.noAssert) {\r\n            if (offset < 0 || offset > this.buffer.length)\r\n                throw RangeError(\"Illegal length: 0 <= \"+this.offset+\" + \"+length+\" <= \"+this.buffer.length);\r\n        }\r\n        this.offset = offset;\r\n        return this;\r\n    };\r\n\r\n    /**\r\n     * Slices this ByteBuffer by creating a cloned instance with `offset = begin` and `limit = end`.\r\n     * @param {number=} begin Begin offset, defaults to {@link ByteBuffer#offset}.\r\n     * @param {number=} end End offset, defaults to {@link ByteBuffer#limit}.\r\n     * @returns {!ByteBuffer} Clone of this ByteBuffer with slicing applied, backed by the same {@link ByteBuffer#buffer}\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.slice = function(begin, end) {\r\n        if (typeof begin === 'undefined') begin = this.offset;\r\n        if (typeof end === 'undefined') end = this.limit;\r\n        if (!this.noAssert) {\r\n            if (typeof begin !== 'number' || begin % 1 !== 0)\n                throw TypeError(\"Illegal begin: Not an integer\");\n            begin >>>= 0;\n            if (typeof end !== 'number' || end % 1 !== 0)\n                throw TypeError(\"Illegal end: Not an integer\");\n            end >>>= 0;\n            if (begin < 0 || begin > end || end > this.buffer.length)\n                throw RangeError(\"Illegal range: 0 <= \"+begin+\" <= \"+end+\" <= \"+this.buffer.length);\n        }\r\n        var bb = this.clone();\r\n        bb.offset = begin;\r\n        bb.limit = end;\r\n        return bb;\r\n    };\r\n    /**\r\n     * Returns a copy of the backing buffer that contains this ByteBuffer's contents. Contents are the bytes between\r\n     *  {@link ByteBuffer#offset} and {@link ByteBuffer#limit}.\r\n     * @param {boolean=} forceCopy If `true` returns a copy, otherwise returns a view referencing the same memory if\r\n     *  possible. Defaults to `false`\r\n     * @returns {!Buffer} Contents as a Buffer\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.toBuffer = function(forceCopy) {\r\n        var offset = this.offset,\r\n            limit = this.limit;\r\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: Not an integer\");\n            offset >>>= 0;\n            if (typeof limit !== 'number' || limit % 1 !== 0)\n                throw TypeError(\"Illegal limit: Not an integer\");\n            limit >>>= 0;\n            if (offset < 0 || offset > limit || limit > this.buffer.length)\n                throw RangeError(\"Illegal range: 0 <= \"+offset+\" <= \"+limit+\" <= \"+this.buffer.length);\n        }\r\n        if (forceCopy) {\r\n            var buffer = Buffer.alloc(limit - offset);\r\n            this.buffer.copy(buffer, 0, offset, limit);\r\n            return buffer;\r\n        } else {\r\n            if (offset === 0 && limit === this.buffer.length)\r\n                return this.buffer;\r\n            else\r\n                return this.buffer.slice(offset, limit);\r\n        }\r\n    };\r\n\r\n    /**\r\n     * Returns a copy of the backing buffer compacted to contain this ByteBuffer's contents. Contents are the bytes between\r\n     *  {@link ByteBuffer#offset} and {@link ByteBuffer#limit}.\r\n     * @returns {!ArrayBuffer} Contents as an ArrayBuffer\r\n     */\r\n    ByteBufferPrototype.toArrayBuffer = function() {\r\n        var offset = this.offset,\r\n            limit = this.limit;\r\n        if (!this.noAssert) {\r\n            if (typeof offset !== 'number' || offset % 1 !== 0)\n                throw TypeError(\"Illegal offset: Not an integer\");\n            offset >>>= 0;\n            if (typeof limit !== 'number' || limit % 1 !== 0)\n                throw TypeError(\"Illegal limit: Not an integer\");\n            limit >>>= 0;\n            if (offset < 0 || offset > limit || limit > this.buffer.length)\n                throw RangeError(\"Illegal range: 0 <= \"+offset+\" <= \"+limit+\" <= \"+this.buffer.length);\n        }\r\n        var ab = new ArrayBuffer(limit - offset);\r\n        if (memcpy) { // Fast\r\n            memcpy(ab, 0, this.buffer, offset, limit);\r\n        } else { // Slow\r\n            var dst = new Uint8Array(ab);\r\n            for (var i=offset; i<limit; ++i)\r\n                dst[i-offset] = this.buffer[i];\r\n        }\r\n        return ab;\r\n    };\r\n\r\n    /**\r\n     * Converts the ByteBuffer's contents to a string.\r\n     * @param {string=} encoding Output encoding. Returns an informative string representation if omitted but also allows\r\n     *  direct conversion to \"utf8\", \"hex\", \"base64\" and \"binary\" encoding. \"debug\" returns a hex representation with\r\n     *  highlighted offsets.\r\n     * @param {number=} begin Offset to begin at, defaults to {@link ByteBuffer#offset}\r\n     * @param {number=} end Offset to end at, defaults to {@link ByteBuffer#limit}\r\n     * @returns {string} String representation\r\n     * @throws {Error} If `encoding` is invalid\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.toString = function(encoding, begin, end) {\r\n        if (typeof encoding === 'undefined')\r\n            return \"ByteBufferNB(offset=\"+this.offset+\",markedOffset=\"+this.markedOffset+\",limit=\"+this.limit+\",capacity=\"+this.capacity()+\")\";\r\n        if (typeof encoding === 'number')\r\n            encoding = \"utf8\",\r\n            begin = encoding,\r\n            end = begin;\r\n        switch (encoding) {\r\n            case \"utf8\":\r\n                return this.toUTF8(begin, end);\r\n            case \"base64\":\r\n                return this.toBase64(begin, end);\r\n            case \"hex\":\r\n                return this.toHex(begin, end);\r\n            case \"binary\":\r\n                return this.toBinary(begin, end);\r\n            case \"debug\":\r\n                return this.toDebug();\r\n            case \"columns\":\r\n                return this.toColumns();\r\n            default:\r\n                throw Error(\"Unsupported encoding: \"+encoding);\r\n        }\r\n    };\r\n\r\n    // encodings/base64\r\n\r\n    /**\r\n     * Encodes this ByteBuffer's contents to a base64 encoded string.\r\n     * @param {number=} begin Offset to begin at, defaults to {@link ByteBuffer#offset}.\r\n     * @param {number=} end Offset to end at, defaults to {@link ByteBuffer#limit}.\r\n     * @returns {string} Base64 encoded string\r\n     * @throws {RangeError} If `begin` or `end` is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.toBase64 = function(begin, end) {\r\n        if (typeof begin === 'undefined')\r\n            begin = this.offset;\r\n        if (typeof end === 'undefined')\r\n            end = this.limit;\r\n        begin = begin | 0; end = end | 0;\r\n        if (begin < 0 || end > this.capacity || begin > end)\r\n            throw RangeError(\"begin, end\");\r\n        return this.buffer.toString(\"base64\", begin, end);\r\n    };\r\n\r\n    /**\r\n     * Decodes a base64 encoded string to a ByteBuffer.\r\n     * @param {string} str String to decode\r\n     * @param {boolean=} littleEndian Whether to use little or big endian byte order. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_ENDIAN}.\r\n     * @returns {!ByteBuffer} ByteBuffer\r\n     * @expose\r\n     */\r\n    ByteBuffer.fromBase64 = function(str, littleEndian) {\r\n        return ByteBuffer.wrap(Buffer.from(str, \"base64\"), littleEndian);\r\n        return bb;\r\n    };\r\n\r\n    /**\r\n     * Encodes a binary string to base64 like `window.btoa` does.\r\n     * @param {string} str Binary string\r\n     * @returns {string} Base64 encoded string\r\n     * @see https://developer.mozilla.org/en-US/docs/Web/API/Window.btoa\r\n     * @expose\r\n     */\r\n    ByteBuffer.btoa = function(str) {\r\n        return ByteBuffer.fromBinary(str).toBase64();\r\n    };\r\n\r\n    /**\r\n     * Decodes a base64 encoded string to binary like `window.atob` does.\r\n     * @param {string} b64 Base64 encoded string\r\n     * @returns {string} Binary string\r\n     * @see https://developer.mozilla.org/en-US/docs/Web/API/Window.atob\r\n     * @expose\r\n     */\r\n    ByteBuffer.atob = function(b64) {\r\n        return ByteBuffer.fromBase64(b64).toBinary();\r\n    };\r\n\r\n    // encodings/binary\r\n\r\n    /**\r\n     * Encodes this ByteBuffer to a binary encoded string, that is using only characters 0x00-0xFF as bytes.\r\n     * @param {number=} begin Offset to begin at. Defaults to {@link ByteBuffer#offset}.\r\n     * @param {number=} end Offset to end at. Defaults to {@link ByteBuffer#limit}.\r\n     * @returns {string} Binary encoded string\r\n     * @throws {RangeError} If `offset > limit`\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.toBinary = function(begin, end) {\r\n        if (typeof begin === 'undefined')\r\n            begin = this.offset;\r\n        if (typeof end === 'undefined')\r\n            end = this.limit;\r\n        begin |= 0; end |= 0;\r\n        if (begin < 0 || end > this.capacity() || begin > end)\r\n            throw RangeError(\"begin, end\");\r\n        return this.buffer.toString(\"binary\", begin, end);\r\n    };\r\n\r\n    /**\r\n     * Decodes a binary encoded string, that is using only characters 0x00-0xFF as bytes, to a ByteBuffer.\r\n     * @param {string} str String to decode\r\n     * @param {boolean=} littleEndian Whether to use little or big endian byte order. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_ENDIAN}.\r\n     * @returns {!ByteBuffer} ByteBuffer\r\n     * @expose\r\n     */\r\n    ByteBuffer.fromBinary = function(str, littleEndian) {\r\n        return ByteBuffer.wrap(Buffer.from(str, \"binary\"), littleEndian);\r\n        return bb;\r\n    };\r\n\r\n    // encodings/debug\r\n\r\n    /**\r\n     * Encodes this ByteBuffer to a hex encoded string with marked offsets. Offset symbols are:\r\n     * * `<` : offset,\r\n     * * `'` : markedOffset,\r\n     * * `>` : limit,\r\n     * * `|` : offset and limit,\r\n     * * `[` : offset and markedOffset,\r\n     * * `]` : markedOffset and limit,\r\n     * * `!` : offset, markedOffset and limit\r\n     * @param {boolean=} columns If `true` returns two columns hex + ascii, defaults to `false`\r\n     * @returns {string|!Array.<string>} Debug string or array of lines if `asArray = true`\r\n     * @expose\r\n     * @example `>00'01 02<03` contains four bytes with `limit=0, markedOffset=1, offset=3`\r\n     * @example `00[01 02 03>` contains four bytes with `offset=markedOffset=1, limit=4`\r\n     * @example `00|01 02 03` contains four bytes with `offset=limit=1, markedOffset=-1`\r\n     * @example `|` contains zero bytes with `offset=limit=0, markedOffset=-1`\r\n     */\r\n    ByteBufferPrototype.toDebug = function(columns) {\r\n        var i = -1,\r\n            k = this.buffer.length,\r\n            b,\r\n            hex = \"\",\r\n            asc = \"\",\r\n            out = \"\";\r\n        while (i<k) {\r\n            if (i !== -1) {\r\n                b = this.buffer[i];\r\n                if (b < 0x10) hex += \"0\"+b.toString(16).toUpperCase();\r\n                else hex += b.toString(16).toUpperCase();\r\n                if (columns)\r\n                    asc += b > 32 && b < 127 ? String.fromCharCode(b) : '.';\r\n            }\r\n            ++i;\r\n            if (columns) {\r\n                if (i > 0 && i % 16 === 0 && i !== k) {\r\n                    while (hex.length < 3*16+3) hex += \" \";\r\n                    out += hex+asc+\"\\n\";\r\n                    hex = asc = \"\";\r\n                }\r\n            }\r\n            if (i === this.offset && i === this.limit)\r\n                hex += i === this.markedOffset ? \"!\" : \"|\";\r\n            else if (i === this.offset)\r\n                hex += i === this.markedOffset ? \"[\" : \"<\";\r\n            else if (i === this.limit)\r\n                hex += i === this.markedOffset ? \"]\" : \">\";\r\n            else\r\n                hex += i === this.markedOffset ? \"'\" : (columns || (i !== 0 && i !== k) ? \" \" : \"\");\r\n        }\r\n        if (columns && hex !== \" \") {\r\n            while (hex.length < 3*16+3)\r\n                hex += \" \";\r\n            out += hex + asc + \"\\n\";\r\n        }\r\n        return columns ? out : hex;\r\n    };\r\n\r\n    /**\r\n     * Decodes a hex encoded string with marked offsets to a ByteBuffer.\r\n     * @param {string} str Debug string to decode (not be generated with `columns = true`)\r\n     * @param {boolean=} littleEndian Whether to use little or big endian byte order. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_ENDIAN}.\r\n     * @param {boolean=} noAssert Whether to skip assertions of offsets and values. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_NOASSERT}.\r\n     * @returns {!ByteBuffer} ByteBuffer\r\n     * @expose\r\n     * @see ByteBuffer#toDebug\r\n     */\r\n    ByteBuffer.fromDebug = function(str, littleEndian, noAssert) {\r\n        var k = str.length,\r\n            bb = new ByteBuffer(((k+1)/3)|0, littleEndian, noAssert);\r\n        var i = 0, j = 0, ch, b,\r\n            rs = false, // Require symbol next\r\n            ho = false, hm = false, hl = false, // Already has offset (ho), markedOffset (hm), limit (hl)?\r\n            fail = false;\r\n        while (i<k) {\r\n            switch (ch = str.charAt(i++)) {\r\n                case '!':\r\n                    if (!noAssert) {\r\n                        if (ho || hm || hl) {\r\n                            fail = true;\r\n                            break;\r\n                        }\r\n                        ho = hm = hl = true;\r\n                    }\r\n                    bb.offset = bb.markedOffset = bb.limit = j;\r\n                    rs = false;\r\n                    break;\r\n                case '|':\r\n                    if (!noAssert) {\r\n                        if (ho || hl) {\r\n                            fail = true;\r\n                            break;\r\n                        }\r\n                        ho = hl = true;\r\n                    }\r\n                    bb.offset = bb.limit = j;\r\n                    rs = false;\r\n                    break;\r\n                case '[':\r\n                    if (!noAssert) {\r\n                        if (ho || hm) {\r\n                            fail = true;\r\n                            break;\r\n                        }\r\n                        ho = hm = true;\r\n                    }\r\n                    bb.offset = bb.markedOffset = j;\r\n                    rs = false;\r\n                    break;\r\n                case '<':\r\n                    if (!noAssert) {\r\n                        if (ho) {\r\n                            fail = true;\r\n                            break;\r\n                        }\r\n                        ho = true;\r\n                    }\r\n                    bb.offset = j;\r\n                    rs = false;\r\n                    break;\r\n                case ']':\r\n                    if (!noAssert) {\r\n                        if (hl || hm) {\r\n                            fail = true;\r\n                            break;\r\n                        }\r\n                        hl = hm = true;\r\n                    }\r\n                    bb.limit = bb.markedOffset = j;\r\n                    rs = false;\r\n                    break;\r\n                case '>':\r\n                    if (!noAssert) {\r\n                        if (hl) {\r\n                            fail = true;\r\n                            break;\r\n                        }\r\n                        hl = true;\r\n                    }\r\n                    bb.limit = j;\r\n                    rs = false;\r\n                    break;\r\n                case \"'\":\r\n                    if (!noAssert) {\r\n                        if (hm) {\r\n                            fail = true;\r\n                            break;\r\n                        }\r\n                        hm = true;\r\n                    }\r\n                    bb.markedOffset = j;\r\n                    rs = false;\r\n                    break;\r\n                case ' ':\r\n                    rs = false;\r\n                    break;\r\n                default:\r\n                    if (!noAssert) {\r\n                        if (rs) {\r\n                            fail = true;\r\n                            break;\r\n                        }\r\n                    }\r\n                    b = parseInt(ch+str.charAt(i++), 16);\r\n                    if (!noAssert) {\r\n                        if (isNaN(b) || b < 0 || b > 255)\r\n                            throw TypeError(\"Illegal str: Not a debug encoded string\");\r\n                    }\r\n                    bb.buffer[j++] = b;\r\n                    rs = true;\r\n            }\r\n            if (fail)\r\n                throw TypeError(\"Illegal str: Invalid symbol at \"+i);\r\n        }\r\n        if (!noAssert) {\r\n            if (!ho || !hl)\r\n                throw TypeError(\"Illegal str: Missing offset or limit\");\r\n            if (j<bb.buffer.length)\r\n                throw TypeError(\"Illegal str: Not a debug encoded string (is it hex?) \"+j+\" < \"+k);\r\n        }\r\n        return bb;\r\n    };\r\n\r\n    // encodings/hex\r\n\r\n    /**\r\n     * Encodes this ByteBuffer's contents to a hex encoded string.\r\n     * @param {number=} begin Offset to begin at. Defaults to {@link ByteBuffer#offset}.\r\n     * @param {number=} end Offset to end at. Defaults to {@link ByteBuffer#limit}.\r\n     * @returns {string} Hex encoded string\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.toHex = function(begin, end) {\r\n        begin = typeof begin === 'undefined' ? this.offset : begin;\r\n        end = typeof end === 'undefined' ? this.limit : end;\r\n        if (!this.noAssert) {\r\n            if (typeof begin !== 'number' || begin % 1 !== 0)\n                throw TypeError(\"Illegal begin: Not an integer\");\n            begin >>>= 0;\n            if (typeof end !== 'number' || end % 1 !== 0)\n                throw TypeError(\"Illegal end: Not an integer\");\n            end >>>= 0;\n            if (begin < 0 || begin > end || end > this.buffer.length)\n                throw RangeError(\"Illegal range: 0 <= \"+begin+\" <= \"+end+\" <= \"+this.buffer.length);\n        }\r\n        return this.buffer.toString(\"hex\", begin, end);\r\n    };\r\n\r\n    /**\r\n     * Decodes a hex encoded string to a ByteBuffer.\r\n     * @param {string} str String to decode\r\n     * @param {boolean=} littleEndian Whether to use little or big endian byte order. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_ENDIAN}.\r\n     * @param {boolean=} noAssert Whether to skip assertions of offsets and values. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_NOASSERT}.\r\n     * @returns {!ByteBuffer} ByteBuffer\r\n     * @expose\r\n     */\r\n    ByteBuffer.fromHex = function(str, littleEndian, noAssert) {\r\n        if (!noAssert) {\r\n            if (typeof str !== 'string')\r\n                throw TypeError(\"Illegal str: Not a string\");\r\n            if (str.length % 2 !== 0)\r\n                throw TypeError(\"Illegal str: Length not a multiple of 2\");\r\n        }\r\n        var bb = new ByteBuffer(0, littleEndian, true);\r\n        bb.buffer = Buffer.from(str, \"hex\");\r\n        bb.limit = bb.buffer.length;\r\n        return bb;\r\n    };\r\n\r\n    // utfx-embeddable\r\n\r\n    /**\r\n     * utfx-embeddable (c) 2014 Daniel Wirtz <dcode@dcode.io>\r\n     * Released under the Apache License, Version 2.0\r\n     * see: https://github.com/dcodeIO/utfx for details\r\n     */\r\n    var utfx = function() {\r\n        \"use strict\";\r\n\r\n        /**\r\n         * utfx namespace.\r\n         * @inner\r\n         * @type {!Object.<string,*>}\r\n         */\r\n        var utfx = {};\r\n\r\n        /**\r\n         * Maximum valid code point.\r\n         * @type {number}\r\n         * @const\r\n         */\r\n        utfx.MAX_CODEPOINT = 0x10FFFF;\r\n\r\n        /**\r\n         * Encodes UTF8 code points to UTF8 bytes.\r\n         * @param {(!function():number|null) | number} src Code points source, either as a function returning the next code point\r\n         *  respectively `null` if there are no more code points left or a single numeric code point.\r\n         * @param {!function(number)} dst Bytes destination as a function successively called with the next byte\r\n         */\r\n        utfx.encodeUTF8 = function(src, dst) {\r\n            var cp = null;\r\n            if (typeof src === 'number')\r\n                cp = src,\r\n                src = function() { return null; };\r\n            while (cp !== null || (cp = src()) !== null) {\r\n                if (cp < 0x80)\r\n                    dst(cp&0x7F);\r\n                else if (cp < 0x800)\r\n                    dst(((cp>>6)&0x1F)|0xC0),\r\n                    dst((cp&0x3F)|0x80);\r\n                else if (cp < 0x10000)\r\n                    dst(((cp>>12)&0x0F)|0xE0),\r\n                    dst(((cp>>6)&0x3F)|0x80),\r\n                    dst((cp&0x3F)|0x80);\r\n                else\r\n                    dst(((cp>>18)&0x07)|0xF0),\r\n                    dst(((cp>>12)&0x3F)|0x80),\r\n                    dst(((cp>>6)&0x3F)|0x80),\r\n                    dst((cp&0x3F)|0x80);\r\n                cp = null;\r\n            }\r\n        };\r\n\r\n        /**\r\n         * Decodes UTF8 bytes to UTF8 code points.\r\n         * @param {!function():number|null} src Bytes source as a function returning the next byte respectively `null` if there\r\n         *  are no more bytes left.\r\n         * @param {!function(number)} dst Code points destination as a function successively called with each decoded code point.\r\n         * @throws {RangeError} If a starting byte is invalid in UTF8\r\n         * @throws {Error} If the last sequence is truncated. Has an array property `bytes` holding the\r\n         *  remaining bytes.\r\n         */\r\n        utfx.decodeUTF8 = function(src, dst) {\r\n            var a, b, c, d, fail = function(b) {\r\n                b = b.slice(0, b.indexOf(null));\r\n                var err = Error(b.toString());\r\n                err.name = \"TruncatedError\";\r\n                err['bytes'] = b;\r\n                throw err;\r\n            };\r\n            while ((a = src()) !== null) {\r\n                if ((a&0x80) === 0)\r\n                    dst(a);\r\n                else if ((a&0xE0) === 0xC0)\r\n                    ((b = src()) === null) && fail([a, b]),\r\n                    dst(((a&0x1F)<<6) | (b&0x3F));\r\n                else if ((a&0xF0) === 0xE0)\r\n                    ((b=src()) === null || (c=src()) === null) && fail([a, b, c]),\r\n                    dst(((a&0x0F)<<12) | ((b&0x3F)<<6) | (c&0x3F));\r\n                else if ((a&0xF8) === 0xF0)\r\n                    ((b=src()) === null || (c=src()) === null || (d=src()) === null) && fail([a, b, c ,d]),\r\n                    dst(((a&0x07)<<18) | ((b&0x3F)<<12) | ((c&0x3F)<<6) | (d&0x3F));\r\n                else throw RangeError(\"Illegal starting byte: \"+a);\r\n            }\r\n        };\r\n\r\n        /**\r\n         * Converts UTF16 characters to UTF8 code points.\r\n         * @param {!function():number|null} src Characters source as a function returning the next char code respectively\r\n         *  `null` if there are no more characters left.\r\n         * @param {!function(number)} dst Code points destination as a function successively called with each converted code\r\n         *  point.\r\n         */\r\n        utfx.UTF16toUTF8 = function(src, dst) {\r\n            var c1, c2 = null;\r\n            while (true) {\r\n                if ((c1 = c2 !== null ? c2 : src()) === null)\r\n                    break;\r\n                if (c1 >= 0xD800 && c1 <= 0xDFFF) {\r\n                    if ((c2 = src()) !== null) {\r\n                        if (c2 >= 0xDC00 && c2 <= 0xDFFF) {\r\n                            dst((c1-0xD800)*0x400+c2-0xDC00+0x10000);\r\n                            c2 = null; continue;\r\n                        }\r\n                    }\r\n                }\r\n                dst(c1);\r\n            }\r\n            if (c2 !== null) dst(c2);\r\n        };\r\n\r\n        /**\r\n         * Converts UTF8 code points to UTF16 characters.\r\n         * @param {(!function():number|null) | number} src Code points source, either as a function returning the next code point\r\n         *  respectively `null` if there are no more code points left or a single numeric code point.\r\n         * @param {!function(number)} dst Characters destination as a function successively called with each converted char code.\r\n         * @throws {RangeError} If a code point is out of range\r\n         */\r\n        utfx.UTF8toUTF16 = function(src, dst) {\r\n            var cp = null;\r\n            if (typeof src === 'number')\r\n                cp = src, src = function() { return null; };\r\n            while (cp !== null || (cp = src()) !== null) {\r\n                if (cp <= 0xFFFF)\r\n                    dst(cp);\r\n                else\r\n                    cp -= 0x10000,\r\n                    dst((cp>>10)+0xD800),\r\n                    dst((cp%0x400)+0xDC00);\r\n                cp = null;\r\n            }\r\n        };\r\n\r\n        /**\r\n         * Converts and encodes UTF16 characters to UTF8 bytes.\r\n         * @param {!function():number|null} src Characters source as a function returning the next char code respectively `null`\r\n         *  if there are no more characters left.\r\n         * @param {!function(number)} dst Bytes destination as a function successively called with the next byte.\r\n         */\r\n        utfx.encodeUTF16toUTF8 = function(src, dst) {\r\n            utfx.UTF16toUTF8(src, function(cp) {\r\n                utfx.encodeUTF8(cp, dst);\r\n            });\r\n        };\r\n\r\n        /**\r\n         * Decodes and converts UTF8 bytes to UTF16 characters.\r\n         * @param {!function():number|null} src Bytes source as a function returning the next byte respectively `null` if there\r\n         *  are no more bytes left.\r\n         * @param {!function(number)} dst Characters destination as a function successively called with each converted char code.\r\n         * @throws {RangeError} If a starting byte is invalid in UTF8\r\n         * @throws {Error} If the last sequence is truncated. Has an array property `bytes` holding the remaining bytes.\r\n         */\r\n        utfx.decodeUTF8toUTF16 = function(src, dst) {\r\n            utfx.decodeUTF8(src, function(cp) {\r\n                utfx.UTF8toUTF16(cp, dst);\r\n            });\r\n        };\r\n\r\n        /**\r\n         * Calculates the byte length of an UTF8 code point.\r\n         * @param {number} cp UTF8 code point\r\n         * @returns {number} Byte length\r\n         */\r\n        utfx.calculateCodePoint = function(cp) {\r\n            return (cp < 0x80) ? 1 : (cp < 0x800) ? 2 : (cp < 0x10000) ? 3 : 4;\r\n        };\r\n\r\n        /**\r\n         * Calculates the number of UTF8 bytes required to store UTF8 code points.\r\n         * @param {(!function():number|null)} src Code points source as a function returning the next code point respectively\r\n         *  `null` if there are no more code points left.\r\n         * @returns {number} The number of UTF8 bytes required\r\n         */\r\n        utfx.calculateUTF8 = function(src) {\r\n            var cp, l=0;\r\n            while ((cp = src()) !== null)\r\n                l += (cp < 0x80) ? 1 : (cp < 0x800) ? 2 : (cp < 0x10000) ? 3 : 4;\r\n            return l;\r\n        };\r\n\r\n        /**\r\n         * Calculates the number of UTF8 code points respectively UTF8 bytes required to store UTF16 char codes.\r\n         * @param {(!function():number|null)} src Characters source as a function returning the next char code respectively\r\n         *  `null` if there are no more characters left.\r\n         * @returns {!Array.<number>} The number of UTF8 code points at index 0 and the number of UTF8 bytes required at index 1.\r\n         */\r\n        utfx.calculateUTF16asUTF8 = function(src) {\r\n            var n=0, l=0;\r\n            utfx.UTF16toUTF8(src, function(cp) {\r\n                ++n; l += (cp < 0x80) ? 1 : (cp < 0x800) ? 2 : (cp < 0x10000) ? 3 : 4;\r\n            });\r\n            return [n,l];\r\n        };\r\n\r\n        return utfx;\r\n    }();\r\n\r\n    // encodings/utf8\r\n\r\n    /**\r\n     * Encodes this ByteBuffer's contents between {@link ByteBuffer#offset} and {@link ByteBuffer#limit} to an UTF8 encoded\r\n     *  string.\r\n     * @returns {string} Hex encoded string\r\n     * @throws {RangeError} If `offset > limit`\r\n     * @expose\r\n     */\r\n    ByteBufferPrototype.toUTF8 = function(begin, end) {\r\n        if (typeof begin === 'undefined') begin = this.offset;\r\n        if (typeof end === 'undefined') end = this.limit;\r\n        if (!this.noAssert) {\r\n            if (typeof begin !== 'number' || begin % 1 !== 0)\n                throw TypeError(\"Illegal begin: Not an integer\");\n            begin >>>= 0;\n            if (typeof end !== 'number' || end % 1 !== 0)\n                throw TypeError(\"Illegal end: Not an integer\");\n            end >>>= 0;\n            if (begin < 0 || begin > end || end > this.buffer.length)\n                throw RangeError(\"Illegal range: 0 <= \"+begin+\" <= \"+end+\" <= \"+this.buffer.length);\n        }\r\n        return this.buffer.toString(\"utf8\", begin, end);\r\n    };\r\n\r\n    /**\r\n     * Decodes an UTF8 encoded string to a ByteBuffer.\r\n     * @param {string} str String to decode\r\n     * @param {boolean=} littleEndian Whether to use little or big endian byte order. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_ENDIAN}.\r\n     * @param {boolean=} noAssert Whether to skip assertions of offsets and values. Defaults to\r\n     *  {@link ByteBuffer.DEFAULT_NOASSERT}.\r\n     * @returns {!ByteBuffer} ByteBuffer\r\n     * @expose\r\n     */\r\n    ByteBuffer.fromUTF8 = function(str, littleEndian, noAssert) {\r\n        if (!noAssert)\r\n            if (typeof str !== 'string')\r\n                throw TypeError(\"Illegal str: Not a string\");\r\n        var bb = new ByteBuffer(0, littleEndian, noAssert);\r\n        bb.buffer = Buffer.from(str, \"utf8\");\r\n        bb.limit = bb.buffer.length;\r\n        return bb;\r\n    };\r\n\r\n\r\n    /**\r\n     * node-memcpy. This is an optional binding dependency and may not be present.\r\n     * @function\r\n     * @param {!(Buffer|ArrayBuffer|Uint8Array)} target Destination\r\n     * @param {number|!(Buffer|ArrayBuffer)} targetStart Destination start, defaults to 0.\r\n     * @param {(!(Buffer|ArrayBuffer|Uint8Array)|number)=} source Source\r\n     * @param {number=} sourceStart Source start, defaults to 0.\r\n     * @param {number=} sourceEnd Source end, defaults to capacity.\r\n     * @returns {number} Number of bytes copied\r\n     * @throws {Error} If any index is out of bounds\r\n     * @expose\r\n     */\r\n    ByteBuffer.memcpy = memcpy;\r\n\r\n    return ByteBuffer;\r\n\r\n})();\r\n","/**\n * @license\n * Copyright 2009 The Closure Library Authors\n * Copyright 2020 Daniel Wirtz / The long.js Authors.\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n *     http://www.apache.org/licenses/LICENSE-2.0\n *\n * Unless required by applicable law or agreed to in writing, software\n * distributed under the License is distributed on an \"AS IS\" BASIS,\n * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n * See the License for the specific language governing permissions and\n * limitations under the License.\n *\n * SPDX-License-Identifier: Apache-2.0\n */\n\n// WebAssembly optimizations to do native i64 multiplication and divide\nvar wasm = null;\ntry {\n  wasm = new WebAssembly.Instance(\n    new WebAssembly.Module(\n      new Uint8Array([\n        // \\0asm\n        0, 97, 115, 109,\n        // version 1\n        1, 0, 0, 0,\n\n        // section \"type\"\n        1, 13, 2,\n        // 0, () => i32\n        96, 0, 1, 127,\n        // 1, (i32, i32, i32, i32) => i32\n        96, 4, 127, 127, 127, 127, 1, 127,\n\n        // section \"function\"\n        3, 7, 6,\n        // 0, type 0\n        0,\n        // 1, type 1\n        1,\n        // 2, type 1\n        1,\n        // 3, type 1\n        1,\n        // 4, type 1\n        1,\n        // 5, type 1\n        1,\n\n        // section \"global\"\n        6, 6, 1,\n        // 0, \"high\", mutable i32\n        127, 1, 65, 0, 11,\n\n        // section \"export\"\n        7, 50, 6,\n        // 0, \"mul\"\n        3, 109, 117, 108, 0, 1,\n        // 1, \"div_s\"\n        5, 100, 105, 118, 95, 115, 0, 2,\n        // 2, \"div_u\"\n        5, 100, 105, 118, 95, 117, 0, 3,\n        // 3, \"rem_s\"\n        5, 114, 101, 109, 95, 115, 0, 4,\n        // 4, \"rem_u\"\n        5, 114, 101, 109, 95, 117, 0, 5,\n        // 5, \"get_high\"\n        8, 103, 101, 116, 95, 104, 105, 103, 104, 0, 0,\n\n        // section \"code\"\n        10, 191, 1, 6,\n        // 0, \"get_high\"\n        4, 0, 35, 0, 11,\n        // 1, \"mul\"\n        36, 1, 1, 126, 32, 0, 173, 32, 1, 173, 66, 32, 134, 132, 32, 2, 173, 32,\n        3, 173, 66, 32, 134, 132, 126, 34, 4, 66, 32, 135, 167, 36, 0, 32, 4,\n        167, 11,\n        // 2, \"div_s\"\n        36, 1, 1, 126, 32, 0, 173, 32, 1, 173, 66, 32, 134, 132, 32, 2, 173, 32,\n        3, 173, 66, 32, 134, 132, 127, 34, 4, 66, 32, 135, 167, 36, 0, 32, 4,\n        167, 11,\n        // 3, \"div_u\"\n        36, 1, 1, 126, 32, 0, 173, 32, 1, 173, 66, 32, 134, 132, 32, 2, 173, 32,\n        3, 173, 66, 32, 134, 132, 128, 34, 4, 66, 32, 135, 167, 36, 0, 32, 4,\n        167, 11,\n        // 4, \"rem_s\"\n        36, 1, 1, 126, 32, 0, 173, 32, 1, 173, 66, 32, 134, 132, 32, 2, 173, 32,\n        3, 173, 66, 32, 134, 132, 129, 34, 4, 66, 32, 135, 167, 36, 0, 32, 4,\n        167, 11,\n        // 5, \"rem_u\"\n        36, 1, 1, 126, 32, 0, 173, 32, 1, 173, 66, 32, 134, 132, 32, 2, 173, 32,\n        3, 173, 66, 32, 134, 132, 130, 34, 4, 66, 32, 135, 167, 36, 0, 32, 4,\n        167, 11,\n      ]),\n    ),\n    {},\n  ).exports;\n} catch {\n  // no wasm support :(\n}\n\n/**\n * Constructs a 64 bit two's-complement integer, given its low and high 32 bit values as *signed* integers.\n *  See the from* functions below for more convenient ways of constructing Longs.\n * @exports Long\n * @class A Long class for representing a 64 bit two's-complement integer value.\n * @param {number} low The low (signed) 32 bits of the long\n * @param {number} high The high (signed) 32 bits of the long\n * @param {boolean=} unsigned Whether unsigned or not, defaults to signed\n * @constructor\n */\nfunction Long(low, high, unsigned) {\n  /**\n   * The low 32 bits as a signed value.\n   * @type {number}\n   */\n  this.low = low | 0;\n\n  /**\n   * The high 32 bits as a signed value.\n   * @type {number}\n   */\n  this.high = high | 0;\n\n  /**\n   * Whether unsigned or not.\n   * @type {boolean}\n   */\n  this.unsigned = !!unsigned;\n}\n\n// The internal representation of a long is the two given signed, 32-bit values.\n// We use 32-bit pieces because these are the size of integers on which\n// Javascript performs bit-operations.  For operations like addition and\n// multiplication, we split each number into 16 bit pieces, which can easily be\n// multiplied within Javascript's floating-point representation without overflow\n// or change in sign.\n//\n// In the algorithms below, we frequently reduce the negative case to the\n// positive case by negating the input(s) and then post-processing the result.\n// Note that we must ALWAYS check specially whether those values are MIN_VALUE\n// (-2^63) because -MIN_VALUE == MIN_VALUE (since 2^63 cannot be represented as\n// a positive number, it overflows back into a negative).  Not handling this\n// case would often result in infinite recursion.\n//\n// Common constant values ZERO, ONE, NEG_ONE, etc. are defined below the from*\n// methods on which they depend.\n\n/**\n * An indicator used to reliably determine if an object is a Long or not.\n * @type {boolean}\n * @const\n * @private\n */\nLong.prototype.__isLong__;\n\nObject.defineProperty(Long.prototype, \"__isLong__\", { value: true });\n\n/**\n * @function\n * @param {*} obj Object\n * @returns {boolean}\n * @inner\n */\nfunction isLong(obj) {\n  return (obj && obj[\"__isLong__\"]) === true;\n}\n\n/**\n * @function\n * @param {*} value number\n * @returns {number}\n * @inner\n */\nfunction ctz32(value) {\n  var c = Math.clz32(value & -value);\n  return value ? 31 - c : c;\n}\n\n/**\n * Tests if the specified object is a Long.\n * @function\n * @param {*} obj Object\n * @returns {boolean}\n */\nLong.isLong = isLong;\n\n/**\n * A cache of the Long representations of small integer values.\n * @type {!Object}\n * @inner\n */\nvar INT_CACHE = {};\n\n/**\n * A cache of the Long representations of small unsigned integer values.\n * @type {!Object}\n * @inner\n */\nvar UINT_CACHE = {};\n\n/**\n * @param {number} value\n * @param {boolean=} unsigned\n * @returns {!Long}\n * @inner\n */\nfunction fromInt(value, unsigned) {\n  var obj, cachedObj, cache;\n  if (unsigned) {\n    value >>>= 0;\n    if ((cache = 0 <= value && value < 256)) {\n      cachedObj = UINT_CACHE[value];\n      if (cachedObj) return cachedObj;\n    }\n    obj = fromBits(value, 0, true);\n    if (cache) UINT_CACHE[value] = obj;\n    return obj;\n  } else {\n    value |= 0;\n    if ((cache = -128 <= value && value < 128)) {\n      cachedObj = INT_CACHE[value];\n      if (cachedObj) return cachedObj;\n    }\n    obj = fromBits(value, value < 0 ? -1 : 0, false);\n    if (cache) INT_CACHE[value] = obj;\n    return obj;\n  }\n}\n\n/**\n * Returns a Long representing the given 32 bit integer value.\n * @function\n * @param {number} value The 32 bit integer in question\n * @param {boolean=} unsigned Whether unsigned or not, defaults to signed\n * @returns {!Long} The corresponding Long value\n */\nLong.fromInt = fromInt;\n\n/**\n * @param {number} value\n * @param {boolean=} unsigned\n * @returns {!Long}\n * @inner\n */\nfunction fromNumber(value, unsigned) {\n  if (isNaN(value)) return unsigned ? UZERO : ZERO;\n  if (unsigned) {\n    if (value < 0) return UZERO;\n    if (value >= TWO_PWR_64_DBL) return MAX_UNSIGNED_VALUE;\n  } else {\n    if (value <= -TWO_PWR_63_DBL) return MIN_VALUE;\n    if (value + 1 >= TWO_PWR_63_DBL) return MAX_VALUE;\n  }\n  if (value < 0) return fromNumber(-value, unsigned).neg();\n  return fromBits(\n    value % TWO_PWR_32_DBL | 0,\n    (value / TWO_PWR_32_DBL) | 0,\n    unsigned,\n  );\n}\n\n/**\n * Returns a Long representing the given value, provided that it is a finite number. Otherwise, zero is returned.\n * @function\n * @param {number} value The number in question\n * @param {boolean=} unsigned Whether unsigned or not, defaults to signed\n * @returns {!Long} The corresponding Long value\n */\nLong.fromNumber = fromNumber;\n\n/**\n * @param {number} lowBits\n * @param {number} highBits\n * @param {boolean=} unsigned\n * @returns {!Long}\n * @inner\n */\nfunction fromBits(lowBits, highBits, unsigned) {\n  return new Long(lowBits, highBits, unsigned);\n}\n\n/**\n * Returns a Long representing the 64 bit integer that comes by concatenating the given low and high bits. Each is\n *  assumed to use 32 bits.\n * @function\n * @param {number} lowBits The low 32 bits\n * @param {number} highBits The high 32 bits\n * @param {boolean=} unsigned Whether unsigned or not, defaults to signed\n * @returns {!Long} The corresponding Long value\n */\nLong.fromBits = fromBits;\n\n/**\n * @function\n * @param {number} base\n * @param {number} exponent\n * @returns {number}\n * @inner\n */\nvar pow_dbl = Math.pow; // Used 4 times (4*8 to 15+4)\n\n/**\n * @param {string} str\n * @param {(boolean|number)=} unsigned\n * @param {number=} radix\n * @returns {!Long}\n * @inner\n */\nfunction fromString(str, unsigned, radix) {\n  if (str.length === 0) throw Error(\"empty string\");\n  if (typeof unsigned === \"number\") {\n    // For goog.math.long compatibility\n    radix = unsigned;\n    unsigned = false;\n  } else {\n    unsigned = !!unsigned;\n  }\n  if (\n    str === \"NaN\" ||\n    str === \"Infinity\" ||\n    str === \"+Infinity\" ||\n    str === \"-Infinity\"\n  )\n    return unsigned ? UZERO : ZERO;\n  radix = radix || 10;\n  if (radix < 2 || 36 < radix) throw RangeError(\"radix\");\n\n  var p;\n  if ((p = str.indexOf(\"-\")) > 0) throw Error(\"interior hyphen\");\n  else if (p === 0) {\n    return fromString(str.substring(1), unsigned, radix).neg();\n  }\n\n  // Do several (8) digits each time through the loop, so as to\n  // minimize the calls to the very expensive emulated div.\n  var radixToPower = fromNumber(pow_dbl(radix, 8));\n\n  var result = ZERO;\n  for (var i = 0; i < str.length; i += 8) {\n    var size = Math.min(8, str.length - i),\n      value = parseInt(str.substring(i, i + size), radix);\n    if (size < 8) {\n      var power = fromNumber(pow_dbl(radix, size));\n      result = result.mul(power).add(fromNumber(value));\n    } else {\n      result = result.mul(radixToPower);\n      result = result.add(fromNumber(value));\n    }\n  }\n  result.unsigned = unsigned;\n  return result;\n}\n\n/**\n * Returns a Long representation of the given string, written using the specified radix.\n * @function\n * @param {string} str The textual representation of the Long\n * @param {(boolean|number)=} unsigned Whether unsigned or not, defaults to signed\n * @param {number=} radix The radix in which the text is written (2-36), defaults to 10\n * @returns {!Long} The corresponding Long value\n */\nLong.fromString = fromString;\n\n/**\n * @function\n * @param {!Long|number|string|!{low: number, high: number, unsigned: boolean}} val\n * @param {boolean=} unsigned\n * @returns {!Long}\n * @inner\n */\nfunction fromValue(val, unsigned) {\n  if (typeof val === \"number\") return fromNumber(val, unsigned);\n  if (typeof val === \"string\") return fromString(val, unsigned);\n  // Throws for non-objects, converts non-instanceof Long:\n  return fromBits(\n    val.low,\n    val.high,\n    typeof unsigned === \"boolean\" ? unsigned : val.unsigned,\n  );\n}\n\n/**\n * Converts the specified value to a Long using the appropriate from* function for its type.\n * @function\n * @param {!Long|number|bigint|string|!{low: number, high: number, unsigned: boolean}} val Value\n * @param {boolean=} unsigned Whether unsigned or not, defaults to signed\n * @returns {!Long}\n */\nLong.fromValue = fromValue;\n\n// NOTE: the compiler should inline these constant values below and then remove these variables, so there should be\n// no runtime penalty for these.\n\n/**\n * @type {number}\n * @const\n * @inner\n */\nvar TWO_PWR_16_DBL = 1 << 16;\n\n/**\n * @type {number}\n * @const\n * @inner\n */\nvar TWO_PWR_24_DBL = 1 << 24;\n\n/**\n * @type {number}\n * @const\n * @inner\n */\nvar TWO_PWR_32_DBL = TWO_PWR_16_DBL * TWO_PWR_16_DBL;\n\n/**\n * @type {number}\n * @const\n * @inner\n */\nvar TWO_PWR_64_DBL = TWO_PWR_32_DBL * TWO_PWR_32_DBL;\n\n/**\n * @type {number}\n * @const\n * @inner\n */\nvar TWO_PWR_63_DBL = TWO_PWR_64_DBL / 2;\n\n/**\n * @type {!Long}\n * @const\n * @inner\n */\nvar TWO_PWR_24 = fromInt(TWO_PWR_24_DBL);\n\n/**\n * @type {!Long}\n * @inner\n */\nvar ZERO = fromInt(0);\n\n/**\n * Signed zero.\n * @type {!Long}\n */\nLong.ZERO = ZERO;\n\n/**\n * @type {!Long}\n * @inner\n */\nvar UZERO = fromInt(0, true);\n\n/**\n * Unsigned zero.\n * @type {!Long}\n */\nLong.UZERO = UZERO;\n\n/**\n * @type {!Long}\n * @inner\n */\nvar ONE = fromInt(1);\n\n/**\n * Signed one.\n * @type {!Long}\n */\nLong.ONE = ONE;\n\n/**\n * @type {!Long}\n * @inner\n */\nvar UONE = fromInt(1, true);\n\n/**\n * Unsigned one.\n * @type {!Long}\n */\nLong.UONE = UONE;\n\n/**\n * @type {!Long}\n * @inner\n */\nvar NEG_ONE = fromInt(-1);\n\n/**\n * Signed negative one.\n * @type {!Long}\n */\nLong.NEG_ONE = NEG_ONE;\n\n/**\n * @type {!Long}\n * @inner\n */\nvar MAX_VALUE = fromBits(0xffffffff | 0, 0x7fffffff | 0, false);\n\n/**\n * Maximum signed value.\n * @type {!Long}\n */\nLong.MAX_VALUE = MAX_VALUE;\n\n/**\n * @type {!Long}\n * @inner\n */\nvar MAX_UNSIGNED_VALUE = fromBits(0xffffffff | 0, 0xffffffff | 0, true);\n\n/**\n * Maximum unsigned value.\n * @type {!Long}\n */\nLong.MAX_UNSIGNED_VALUE = MAX_UNSIGNED_VALUE;\n\n/**\n * @type {!Long}\n * @inner\n */\nvar MIN_VALUE = fromBits(0, 0x80000000 | 0, false);\n\n/**\n * Minimum signed value.\n * @type {!Long}\n */\nLong.MIN_VALUE = MIN_VALUE;\n\n/**\n * @alias Long.prototype\n * @inner\n */\nvar LongPrototype = Long.prototype;\n\n/**\n * Converts the Long to a 32 bit integer, assuming it is a 32 bit integer.\n * @this {!Long}\n * @returns {number}\n */\nLongPrototype.toInt = function toInt() {\n  return this.unsigned ? this.low >>> 0 : this.low;\n};\n\n/**\n * Converts the Long to a the nearest floating-point representation of this value (double, 53 bit mantissa).\n * @this {!Long}\n * @returns {number}\n */\nLongPrototype.toNumber = function toNumber() {\n  if (this.unsigned)\n    return (this.high >>> 0) * TWO_PWR_32_DBL + (this.low >>> 0);\n  return this.high * TWO_PWR_32_DBL + (this.low >>> 0);\n};\n\n/**\n * Converts the Long to a string written in the specified radix.\n * @this {!Long}\n * @param {number=} radix Radix (2-36), defaults to 10\n * @returns {string}\n * @override\n * @throws {RangeError} If `radix` is out of range\n */\nLongPrototype.toString = function toString(radix) {\n  radix = radix || 10;\n  if (radix < 2 || 36 < radix) throw RangeError(\"radix\");\n  if (this.isZero()) return \"0\";\n  if (this.isNegative()) {\n    // Unsigned Longs are never negative\n    if (this.eq(MIN_VALUE)) {\n      // We need to change the Long value before it can be negated, so we remove\n      // the bottom-most digit in this base and then recurse to do the rest.\n      var radixLong = fromNumber(radix),\n        div = this.div(radixLong),\n        rem1 = div.mul(radixLong).sub(this);\n      return div.toString(radix) + rem1.toInt().toString(radix);\n    } else return \"-\" + this.neg().toString(radix);\n  }\n\n  // Do several (6) digits each time through the loop, so as to\n  // minimize the calls to the very expensive emulated div.\n  var radixToPower = fromNumber(pow_dbl(radix, 6), this.unsigned),\n    rem = this;\n  var result = \"\";\n  while (true) {\n    var remDiv = rem.div(radixToPower),\n      intval = rem.sub(remDiv.mul(radixToPower)).toInt() >>> 0,\n      digits = intval.toString(radix);\n    rem = remDiv;\n    if (rem.isZero()) return digits + result;\n    else {\n      while (digits.length < 6) digits = \"0\" + digits;\n      result = \"\" + digits + result;\n    }\n  }\n};\n\n/**\n * Gets the high 32 bits as a signed integer.\n * @this {!Long}\n * @returns {number} Signed high bits\n */\nLongPrototype.getHighBits = function getHighBits() {\n  return this.high;\n};\n\n/**\n * Gets the high 32 bits as an unsigned integer.\n * @this {!Long}\n * @returns {number} Unsigned high bits\n */\nLongPrototype.getHighBitsUnsigned = function getHighBitsUnsigned() {\n  return this.high >>> 0;\n};\n\n/**\n * Gets the low 32 bits as a signed integer.\n * @this {!Long}\n * @returns {number} Signed low bits\n */\nLongPrototype.getLowBits = function getLowBits() {\n  return this.low;\n};\n\n/**\n * Gets the low 32 bits as an unsigned integer.\n * @this {!Long}\n * @returns {number} Unsigned low bits\n */\nLongPrototype.getLowBitsUnsigned = function getLowBitsUnsigned() {\n  return this.low >>> 0;\n};\n\n/**\n * Gets the number of bits needed to represent the absolute value of this Long.\n * @this {!Long}\n * @returns {number}\n */\nLongPrototype.getNumBitsAbs = function getNumBitsAbs() {\n  if (this.isNegative())\n    // Unsigned Longs are never negative\n    return this.eq(MIN_VALUE) ? 64 : this.neg().getNumBitsAbs();\n  var val = this.high != 0 ? this.high : this.low;\n  for (var bit = 31; bit > 0; bit--) if ((val & (1 << bit)) != 0) break;\n  return this.high != 0 ? bit + 33 : bit + 1;\n};\n\n/**\n * Tests if this Long can be safely represented as a JavaScript number.\n * @this {!Long}\n * @returns {boolean}\n */\nLongPrototype.isSafeInteger = function isSafeInteger() {\n  // 2^53-1 is the maximum safe value\n  var top11Bits = this.high >> 21;\n  // [0, 2^53-1]\n  if (!top11Bits) return true;\n  // > 2^53-1\n  if (this.unsigned) return false;\n  // [-2^53, -1] except -2^53\n  return top11Bits === -1 && !(this.low === 0 && this.high === -0x200000);\n};\n\n/**\n * Tests if this Long's value equals zero.\n * @this {!Long}\n * @returns {boolean}\n */\nLongPrototype.isZero = function isZero() {\n  return this.high === 0 && this.low === 0;\n};\n\n/**\n * Tests if this Long's value equals zero. This is an alias of {@link Long#isZero}.\n * @returns {boolean}\n */\nLongPrototype.eqz = LongPrototype.isZero;\n\n/**\n * Tests if this Long's value is negative.\n * @this {!Long}\n * @returns {boolean}\n */\nLongPrototype.isNegative = function isNegative() {\n  return !this.unsigned && this.high < 0;\n};\n\n/**\n * Tests if this Long's value is positive or zero.\n * @this {!Long}\n * @returns {boolean}\n */\nLongPrototype.isPositive = function isPositive() {\n  return this.unsigned || this.high >= 0;\n};\n\n/**\n * Tests if this Long's value is odd.\n * @this {!Long}\n * @returns {boolean}\n */\nLongPrototype.isOdd = function isOdd() {\n  return (this.low & 1) === 1;\n};\n\n/**\n * Tests if this Long's value is even.\n * @this {!Long}\n * @returns {boolean}\n */\nLongPrototype.isEven = function isEven() {\n  return (this.low & 1) === 0;\n};\n\n/**\n * Tests if this Long's value equals the specified's.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.equals = function equals(other) {\n  if (!isLong(other)) other = fromValue(other);\n  if (\n    this.unsigned !== other.unsigned &&\n    this.high >>> 31 === 1 &&\n    other.high >>> 31 === 1\n  )\n    return false;\n  return this.high === other.high && this.low === other.low;\n};\n\n/**\n * Tests if this Long's value equals the specified's. This is an alias of {@link Long#equals}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.eq = LongPrototype.equals;\n\n/**\n * Tests if this Long's value differs from the specified's.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.notEquals = function notEquals(other) {\n  return !this.eq(/* validates */ other);\n};\n\n/**\n * Tests if this Long's value differs from the specified's. This is an alias of {@link Long#notEquals}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.neq = LongPrototype.notEquals;\n\n/**\n * Tests if this Long's value differs from the specified's. This is an alias of {@link Long#notEquals}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.ne = LongPrototype.notEquals;\n\n/**\n * Tests if this Long's value is less than the specified's.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.lessThan = function lessThan(other) {\n  return this.comp(/* validates */ other) < 0;\n};\n\n/**\n * Tests if this Long's value is less than the specified's. This is an alias of {@link Long#lessThan}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.lt = LongPrototype.lessThan;\n\n/**\n * Tests if this Long's value is less than or equal the specified's.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.lessThanOrEqual = function lessThanOrEqual(other) {\n  return this.comp(/* validates */ other) <= 0;\n};\n\n/**\n * Tests if this Long's value is less than or equal the specified's. This is an alias of {@link Long#lessThanOrEqual}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.lte = LongPrototype.lessThanOrEqual;\n\n/**\n * Tests if this Long's value is less than or equal the specified's. This is an alias of {@link Long#lessThanOrEqual}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.le = LongPrototype.lessThanOrEqual;\n\n/**\n * Tests if this Long's value is greater than the specified's.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.greaterThan = function greaterThan(other) {\n  return this.comp(/* validates */ other) > 0;\n};\n\n/**\n * Tests if this Long's value is greater than the specified's. This is an alias of {@link Long#greaterThan}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.gt = LongPrototype.greaterThan;\n\n/**\n * Tests if this Long's value is greater than or equal the specified's.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.greaterThanOrEqual = function greaterThanOrEqual(other) {\n  return this.comp(/* validates */ other) >= 0;\n};\n\n/**\n * Tests if this Long's value is greater than or equal the specified's. This is an alias of {@link Long#greaterThanOrEqual}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.gte = LongPrototype.greaterThanOrEqual;\n\n/**\n * Tests if this Long's value is greater than or equal the specified's. This is an alias of {@link Long#greaterThanOrEqual}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {boolean}\n */\nLongPrototype.ge = LongPrototype.greaterThanOrEqual;\n\n/**\n * Compares this Long's value with the specified's.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other value\n * @returns {number} 0 if they are the same, 1 if the this is greater and -1\n *  if the given one is greater\n */\nLongPrototype.compare = function compare(other) {\n  if (!isLong(other)) other = fromValue(other);\n  if (this.eq(other)) return 0;\n  var thisNeg = this.isNegative(),\n    otherNeg = other.isNegative();\n  if (thisNeg && !otherNeg) return -1;\n  if (!thisNeg && otherNeg) return 1;\n  // At this point the sign bits are the same\n  if (!this.unsigned) return this.sub(other).isNegative() ? -1 : 1;\n  // Both are positive if at least one is unsigned\n  return other.high >>> 0 > this.high >>> 0 ||\n    (other.high === this.high && other.low >>> 0 > this.low >>> 0)\n    ? -1\n    : 1;\n};\n\n/**\n * Compares this Long's value with the specified's. This is an alias of {@link Long#compare}.\n * @function\n * @param {!Long|number|bigint|string} other Other value\n * @returns {number} 0 if they are the same, 1 if the this is greater and -1\n *  if the given one is greater\n */\nLongPrototype.comp = LongPrototype.compare;\n\n/**\n * Negates this Long's value.\n * @this {!Long}\n * @returns {!Long} Negated Long\n */\nLongPrototype.negate = function negate() {\n  if (!this.unsigned && this.eq(MIN_VALUE)) return MIN_VALUE;\n  return this.not().add(ONE);\n};\n\n/**\n * Negates this Long's value. This is an alias of {@link Long#negate}.\n * @function\n * @returns {!Long} Negated Long\n */\nLongPrototype.neg = LongPrototype.negate;\n\n/**\n * Returns the sum of this and the specified Long.\n * @this {!Long}\n * @param {!Long|number|bigint|string} addend Addend\n * @returns {!Long} Sum\n */\nLongPrototype.add = function add(addend) {\n  if (!isLong(addend)) addend = fromValue(addend);\n\n  // Divide each number into 4 chunks of 16 bits, and then sum the chunks.\n\n  var a48 = this.high >>> 16;\n  var a32 = this.high & 0xffff;\n  var a16 = this.low >>> 16;\n  var a00 = this.low & 0xffff;\n\n  var b48 = addend.high >>> 16;\n  var b32 = addend.high & 0xffff;\n  var b16 = addend.low >>> 16;\n  var b00 = addend.low & 0xffff;\n\n  var c48 = 0,\n    c32 = 0,\n    c16 = 0,\n    c00 = 0;\n  c00 += a00 + b00;\n  c16 += c00 >>> 16;\n  c00 &= 0xffff;\n  c16 += a16 + b16;\n  c32 += c16 >>> 16;\n  c16 &= 0xffff;\n  c32 += a32 + b32;\n  c48 += c32 >>> 16;\n  c32 &= 0xffff;\n  c48 += a48 + b48;\n  c48 &= 0xffff;\n  return fromBits((c16 << 16) | c00, (c48 << 16) | c32, this.unsigned);\n};\n\n/**\n * Returns the difference of this and the specified Long.\n * @this {!Long}\n * @param {!Long|number|bigint|string} subtrahend Subtrahend\n * @returns {!Long} Difference\n */\nLongPrototype.subtract = function subtract(subtrahend) {\n  if (!isLong(subtrahend)) subtrahend = fromValue(subtrahend);\n  return this.add(subtrahend.neg());\n};\n\n/**\n * Returns the difference of this and the specified Long. This is an alias of {@link Long#subtract}.\n * @function\n * @param {!Long|number|bigint|string} subtrahend Subtrahend\n * @returns {!Long} Difference\n */\nLongPrototype.sub = LongPrototype.subtract;\n\n/**\n * Returns the product of this and the specified Long.\n * @this {!Long}\n * @param {!Long|number|bigint|string} multiplier Multiplier\n * @returns {!Long} Product\n */\nLongPrototype.multiply = function multiply(multiplier) {\n  if (this.isZero()) return this;\n  if (!isLong(multiplier)) multiplier = fromValue(multiplier);\n\n  // use wasm support if present\n  if (wasm) {\n    var low = wasm[\"mul\"](this.low, this.high, multiplier.low, multiplier.high);\n    return fromBits(low, wasm[\"get_high\"](), this.unsigned);\n  }\n\n  if (multiplier.isZero()) return this.unsigned ? UZERO : ZERO;\n  if (this.eq(MIN_VALUE)) return multiplier.isOdd() ? MIN_VALUE : ZERO;\n  if (multiplier.eq(MIN_VALUE)) return this.isOdd() ? MIN_VALUE : ZERO;\n\n  if (this.isNegative()) {\n    if (multiplier.isNegative()) return this.neg().mul(multiplier.neg());\n    else return this.neg().mul(multiplier).neg();\n  } else if (multiplier.isNegative()) return this.mul(multiplier.neg()).neg();\n\n  // If both longs are small, use float multiplication\n  if (this.lt(TWO_PWR_24) && multiplier.lt(TWO_PWR_24))\n    return fromNumber(this.toNumber() * multiplier.toNumber(), this.unsigned);\n\n  // Divide each long into 4 chunks of 16 bits, and then add up 4x4 products.\n  // We can skip products that would overflow.\n\n  var a48 = this.high >>> 16;\n  var a32 = this.high & 0xffff;\n  var a16 = this.low >>> 16;\n  var a00 = this.low & 0xffff;\n\n  var b48 = multiplier.high >>> 16;\n  var b32 = multiplier.high & 0xffff;\n  var b16 = multiplier.low >>> 16;\n  var b00 = multiplier.low & 0xffff;\n\n  var c48 = 0,\n    c32 = 0,\n    c16 = 0,\n    c00 = 0;\n  c00 += a00 * b00;\n  c16 += c00 >>> 16;\n  c00 &= 0xffff;\n  c16 += a16 * b00;\n  c32 += c16 >>> 16;\n  c16 &= 0xffff;\n  c16 += a00 * b16;\n  c32 += c16 >>> 16;\n  c16 &= 0xffff;\n  c32 += a32 * b00;\n  c48 += c32 >>> 16;\n  c32 &= 0xffff;\n  c32 += a16 * b16;\n  c48 += c32 >>> 16;\n  c32 &= 0xffff;\n  c32 += a00 * b32;\n  c48 += c32 >>> 16;\n  c32 &= 0xffff;\n  c48 += a48 * b00 + a32 * b16 + a16 * b32 + a00 * b48;\n  c48 &= 0xffff;\n  return fromBits((c16 << 16) | c00, (c48 << 16) | c32, this.unsigned);\n};\n\n/**\n * Returns the product of this and the specified Long. This is an alias of {@link Long#multiply}.\n * @function\n * @param {!Long|number|bigint|string} multiplier Multiplier\n * @returns {!Long} Product\n */\nLongPrototype.mul = LongPrototype.multiply;\n\n/**\n * Returns this Long divided by the specified. The result is signed if this Long is signed or\n *  unsigned if this Long is unsigned.\n * @this {!Long}\n * @param {!Long|number|bigint|string} divisor Divisor\n * @returns {!Long} Quotient\n */\nLongPrototype.divide = function divide(divisor) {\n  if (!isLong(divisor)) divisor = fromValue(divisor);\n  if (divisor.isZero()) throw Error(\"division by zero\");\n\n  // use wasm support if present\n  if (wasm) {\n    // guard against signed division overflow: the largest\n    // negative number / -1 would be 1 larger than the largest\n    // positive number, due to two's complement.\n    if (\n      !this.unsigned &&\n      this.high === -0x80000000 &&\n      divisor.low === -1 &&\n      divisor.high === -1\n    ) {\n      // be consistent with non-wasm code path\n      return this;\n    }\n    var low = (this.unsigned ? wasm[\"div_u\"] : wasm[\"div_s\"])(\n      this.low,\n      this.high,\n      divisor.low,\n      divisor.high,\n    );\n    return fromBits(low, wasm[\"get_high\"](), this.unsigned);\n  }\n\n  if (this.isZero()) return this.unsigned ? UZERO : ZERO;\n  var approx, rem, res;\n  if (!this.unsigned) {\n    // This section is only relevant for signed longs and is derived from the\n    // closure library as a whole.\n    if (this.eq(MIN_VALUE)) {\n      if (divisor.eq(ONE) || divisor.eq(NEG_ONE))\n        return MIN_VALUE; // recall that -MIN_VALUE == MIN_VALUE\n      else if (divisor.eq(MIN_VALUE)) return ONE;\n      else {\n        // At this point, we have |other| >= 2, so |this/other| < |MIN_VALUE|.\n        var halfThis = this.shr(1);\n        approx = halfThis.div(divisor).shl(1);\n        if (approx.eq(ZERO)) {\n          return divisor.isNegative() ? ONE : NEG_ONE;\n        } else {\n          rem = this.sub(divisor.mul(approx));\n          res = approx.add(rem.div(divisor));\n          return res;\n        }\n      }\n    } else if (divisor.eq(MIN_VALUE)) return this.unsigned ? UZERO : ZERO;\n    if (this.isNegative()) {\n      if (divisor.isNegative()) return this.neg().div(divisor.neg());\n      return this.neg().div(divisor).neg();\n    } else if (divisor.isNegative()) return this.div(divisor.neg()).neg();\n    res = ZERO;\n  } else {\n    // The algorithm below has not been made for unsigned longs. It's therefore\n    // required to take special care of the MSB prior to running it.\n    if (!divisor.unsigned) divisor = divisor.toUnsigned();\n    if (divisor.gt(this)) return UZERO;\n    if (divisor.gt(this.shru(1)))\n      // 15 >>> 1 = 7 ; with divisor = 8 ; true\n      return UONE;\n    res = UZERO;\n  }\n\n  // Repeat the following until the remainder is less than other:  find a\n  // floating-point that approximates remainder / other *from below*, add this\n  // into the result, and subtract it from the remainder.  It is critical that\n  // the approximate value is less than or equal to the real value so that the\n  // remainder never becomes negative.\n  rem = this;\n  while (rem.gte(divisor)) {\n    // Approximate the result of division. This may be a little greater or\n    // smaller than the actual value.\n    approx = Math.max(1, Math.floor(rem.toNumber() / divisor.toNumber()));\n\n    // We will tweak the approximate result by changing it in the 48-th digit or\n    // the smallest non-fractional digit, whichever is larger.\n    var log2 = Math.ceil(Math.log(approx) / Math.LN2),\n      delta = log2 <= 48 ? 1 : pow_dbl(2, log2 - 48),\n      // Decrease the approximation until it is smaller than the remainder.  Note\n      // that if it is too large, the product overflows and is negative.\n      approxRes = fromNumber(approx),\n      approxRem = approxRes.mul(divisor);\n    while (approxRem.isNegative() || approxRem.gt(rem)) {\n      approx -= delta;\n      approxRes = fromNumber(approx, this.unsigned);\n      approxRem = approxRes.mul(divisor);\n    }\n\n    // We know the answer can't be zero... and actually, zero would cause\n    // infinite recursion since we would make no progress.\n    if (approxRes.isZero()) approxRes = ONE;\n\n    res = res.add(approxRes);\n    rem = rem.sub(approxRem);\n  }\n  return res;\n};\n\n/**\n * Returns this Long divided by the specified. This is an alias of {@link Long#divide}.\n * @function\n * @param {!Long|number|bigint|string} divisor Divisor\n * @returns {!Long} Quotient\n */\nLongPrototype.div = LongPrototype.divide;\n\n/**\n * Returns this Long modulo the specified.\n * @this {!Long}\n * @param {!Long|number|bigint|string} divisor Divisor\n * @returns {!Long} Remainder\n */\nLongPrototype.modulo = function modulo(divisor) {\n  if (!isLong(divisor)) divisor = fromValue(divisor);\n\n  // use wasm support if present\n  if (wasm) {\n    var low = (this.unsigned ? wasm[\"rem_u\"] : wasm[\"rem_s\"])(\n      this.low,\n      this.high,\n      divisor.low,\n      divisor.high,\n    );\n    return fromBits(low, wasm[\"get_high\"](), this.unsigned);\n  }\n\n  return this.sub(this.div(divisor).mul(divisor));\n};\n\n/**\n * Returns this Long modulo the specified. This is an alias of {@link Long#modulo}.\n * @function\n * @param {!Long|number|bigint|string} divisor Divisor\n * @returns {!Long} Remainder\n */\nLongPrototype.mod = LongPrototype.modulo;\n\n/**\n * Returns this Long modulo the specified. This is an alias of {@link Long#modulo}.\n * @function\n * @param {!Long|number|bigint|string} divisor Divisor\n * @returns {!Long} Remainder\n */\nLongPrototype.rem = LongPrototype.modulo;\n\n/**\n * Returns the bitwise NOT of this Long.\n * @this {!Long}\n * @returns {!Long}\n */\nLongPrototype.not = function not() {\n  return fromBits(~this.low, ~this.high, this.unsigned);\n};\n\n/**\n * Returns count leading zeros of this Long.\n * @this {!Long}\n * @returns {!number}\n */\nLongPrototype.countLeadingZeros = function countLeadingZeros() {\n  return this.high ? Math.clz32(this.high) : Math.clz32(this.low) + 32;\n};\n\n/**\n * Returns count leading zeros. This is an alias of {@link Long#countLeadingZeros}.\n * @function\n * @param {!Long}\n * @returns {!number}\n */\nLongPrototype.clz = LongPrototype.countLeadingZeros;\n\n/**\n * Returns count trailing zeros of this Long.\n * @this {!Long}\n * @returns {!number}\n */\nLongPrototype.countTrailingZeros = function countTrailingZeros() {\n  return this.low ? ctz32(this.low) : ctz32(this.high) + 32;\n};\n\n/**\n * Returns count trailing zeros. This is an alias of {@link Long#countTrailingZeros}.\n * @function\n * @param {!Long}\n * @returns {!number}\n */\nLongPrototype.ctz = LongPrototype.countTrailingZeros;\n\n/**\n * Returns the bitwise AND of this Long and the specified.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other Long\n * @returns {!Long}\n */\nLongPrototype.and = function and(other) {\n  if (!isLong(other)) other = fromValue(other);\n  return fromBits(this.low & other.low, this.high & other.high, this.unsigned);\n};\n\n/**\n * Returns the bitwise OR of this Long and the specified.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other Long\n * @returns {!Long}\n */\nLongPrototype.or = function or(other) {\n  if (!isLong(other)) other = fromValue(other);\n  return fromBits(this.low | other.low, this.high | other.high, this.unsigned);\n};\n\n/**\n * Returns the bitwise XOR of this Long and the given one.\n * @this {!Long}\n * @param {!Long|number|bigint|string} other Other Long\n * @returns {!Long}\n */\nLongPrototype.xor = function xor(other) {\n  if (!isLong(other)) other = fromValue(other);\n  return fromBits(this.low ^ other.low, this.high ^ other.high, this.unsigned);\n};\n\n/**\n * Returns this Long with bits shifted to the left by the given amount.\n * @this {!Long}\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Shifted Long\n */\nLongPrototype.shiftLeft = function shiftLeft(numBits) {\n  if (isLong(numBits)) numBits = numBits.toInt();\n  if ((numBits &= 63) === 0) return this;\n  else if (numBits < 32)\n    return fromBits(\n      this.low << numBits,\n      (this.high << numBits) | (this.low >>> (32 - numBits)),\n      this.unsigned,\n    );\n  else return fromBits(0, this.low << (numBits - 32), this.unsigned);\n};\n\n/**\n * Returns this Long with bits shifted to the left by the given amount. This is an alias of {@link Long#shiftLeft}.\n * @function\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Shifted Long\n */\nLongPrototype.shl = LongPrototype.shiftLeft;\n\n/**\n * Returns this Long with bits arithmetically shifted to the right by the given amount.\n * @this {!Long}\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Shifted Long\n */\nLongPrototype.shiftRight = function shiftRight(numBits) {\n  if (isLong(numBits)) numBits = numBits.toInt();\n  if ((numBits &= 63) === 0) return this;\n  else if (numBits < 32)\n    return fromBits(\n      (this.low >>> numBits) | (this.high << (32 - numBits)),\n      this.high >> numBits,\n      this.unsigned,\n    );\n  else\n    return fromBits(\n      this.high >> (numBits - 32),\n      this.high >= 0 ? 0 : -1,\n      this.unsigned,\n    );\n};\n\n/**\n * Returns this Long with bits arithmetically shifted to the right by the given amount. This is an alias of {@link Long#shiftRight}.\n * @function\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Shifted Long\n */\nLongPrototype.shr = LongPrototype.shiftRight;\n\n/**\n * Returns this Long with bits logically shifted to the right by the given amount.\n * @this {!Long}\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Shifted Long\n */\nLongPrototype.shiftRightUnsigned = function shiftRightUnsigned(numBits) {\n  if (isLong(numBits)) numBits = numBits.toInt();\n  if ((numBits &= 63) === 0) return this;\n  if (numBits < 32)\n    return fromBits(\n      (this.low >>> numBits) | (this.high << (32 - numBits)),\n      this.high >>> numBits,\n      this.unsigned,\n    );\n  if (numBits === 32) return fromBits(this.high, 0, this.unsigned);\n  return fromBits(this.high >>> (numBits - 32), 0, this.unsigned);\n};\n\n/**\n * Returns this Long with bits logically shifted to the right by the given amount. This is an alias of {@link Long#shiftRightUnsigned}.\n * @function\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Shifted Long\n */\nLongPrototype.shru = LongPrototype.shiftRightUnsigned;\n\n/**\n * Returns this Long with bits logically shifted to the right by the given amount. This is an alias of {@link Long#shiftRightUnsigned}.\n * @function\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Shifted Long\n */\nLongPrototype.shr_u = LongPrototype.shiftRightUnsigned;\n\n/**\n * Returns this Long with bits rotated to the left by the given amount.\n * @this {!Long}\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Rotated Long\n */\nLongPrototype.rotateLeft = function rotateLeft(numBits) {\n  var b;\n  if (isLong(numBits)) numBits = numBits.toInt();\n  if ((numBits &= 63) === 0) return this;\n  if (numBits === 32) return fromBits(this.high, this.low, this.unsigned);\n  if (numBits < 32) {\n    b = 32 - numBits;\n    return fromBits(\n      (this.low << numBits) | (this.high >>> b),\n      (this.high << numBits) | (this.low >>> b),\n      this.unsigned,\n    );\n  }\n  numBits -= 32;\n  b = 32 - numBits;\n  return fromBits(\n    (this.high << numBits) | (this.low >>> b),\n    (this.low << numBits) | (this.high >>> b),\n    this.unsigned,\n  );\n};\n/**\n * Returns this Long with bits rotated to the left by the given amount. This is an alias of {@link Long#rotateLeft}.\n * @function\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Rotated Long\n */\nLongPrototype.rotl = LongPrototype.rotateLeft;\n\n/**\n * Returns this Long with bits rotated to the right by the given amount.\n * @this {!Long}\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Rotated Long\n */\nLongPrototype.rotateRight = function rotateRight(numBits) {\n  var b;\n  if (isLong(numBits)) numBits = numBits.toInt();\n  if ((numBits &= 63) === 0) return this;\n  if (numBits === 32) return fromBits(this.high, this.low, this.unsigned);\n  if (numBits < 32) {\n    b = 32 - numBits;\n    return fromBits(\n      (this.high << b) | (this.low >>> numBits),\n      (this.low << b) | (this.high >>> numBits),\n      this.unsigned,\n    );\n  }\n  numBits -= 32;\n  b = 32 - numBits;\n  return fromBits(\n    (this.low << b) | (this.high >>> numBits),\n    (this.high << b) | (this.low >>> numBits),\n    this.unsigned,\n  );\n};\n/**\n * Returns this Long with bits rotated to the right by the given amount. This is an alias of {@link Long#rotateRight}.\n * @function\n * @param {number|!Long} numBits Number of bits\n * @returns {!Long} Rotated Long\n */\nLongPrototype.rotr = LongPrototype.rotateRight;\n\n/**\n * Converts this Long to signed.\n * @this {!Long}\n * @returns {!Long} Signed long\n */\nLongPrototype.toSigned = function toSigned() {\n  if (!this.unsigned) return this;\n  return fromBits(this.low, this.high, false);\n};\n\n/**\n * Converts this Long to unsigned.\n * @this {!Long}\n * @returns {!Long} Unsigned long\n */\nLongPrototype.toUnsigned = function toUnsigned() {\n  if (this.unsigned) return this;\n  return fromBits(this.low, this.high, true);\n};\n\n/**\n * Converts this Long to its byte representation.\n * @param {boolean=} le Whether little or big endian, defaults to big endian\n * @this {!Long}\n * @returns {!Array.<number>} Byte representation\n */\nLongPrototype.toBytes = function toBytes(le) {\n  return le ? this.toBytesLE() : this.toBytesBE();\n};\n\n/**\n * Converts this Long to its little endian byte representation.\n * @this {!Long}\n * @returns {!Array.<number>} Little endian byte representation\n */\nLongPrototype.toBytesLE = function toBytesLE() {\n  var hi = this.high,\n    lo = this.low;\n  return [\n    lo & 0xff,\n    (lo >>> 8) & 0xff,\n    (lo >>> 16) & 0xff,\n    lo >>> 24,\n    hi & 0xff,\n    (hi >>> 8) & 0xff,\n    (hi >>> 16) & 0xff,\n    hi >>> 24,\n  ];\n};\n\n/**\n * Converts this Long to its big endian byte representation.\n * @this {!Long}\n * @returns {!Array.<number>} Big endian byte representation\n */\nLongPrototype.toBytesBE = function toBytesBE() {\n  var hi = this.high,\n    lo = this.low;\n  return [\n    hi >>> 24,\n    (hi >>> 16) & 0xff,\n    (hi >>> 8) & 0xff,\n    hi & 0xff,\n    lo >>> 24,\n    (lo >>> 16) & 0xff,\n    (lo >>> 8) & 0xff,\n    lo & 0xff,\n  ];\n};\n\n/**\n * Creates a Long from its byte representation.\n * @param {!Array.<number>} bytes Byte representation\n * @param {boolean=} unsigned Whether unsigned or not, defaults to signed\n * @param {boolean=} le Whether little or big endian, defaults to big endian\n * @returns {Long} The corresponding Long value\n */\nLong.fromBytes = function fromBytes(bytes, unsigned, le) {\n  return le\n    ? Long.fromBytesLE(bytes, unsigned)\n    : Long.fromBytesBE(bytes, unsigned);\n};\n\n/**\n * Creates a Long from its little endian byte representation.\n * @param {!Array.<number>} bytes Little endian byte representation\n * @param {boolean=} unsigned Whether unsigned or not, defaults to signed\n * @returns {Long} The corresponding Long value\n */\nLong.fromBytesLE = function fromBytesLE(bytes, unsigned) {\n  return new Long(\n    bytes[0] | (bytes[1] << 8) | (bytes[2] << 16) | (bytes[3] << 24),\n    bytes[4] | (bytes[5] << 8) | (bytes[6] << 16) | (bytes[7] << 24),\n    unsigned,\n  );\n};\n\n/**\n * Creates a Long from its big endian byte representation.\n * @param {!Array.<number>} bytes Big endian byte representation\n * @param {boolean=} unsigned Whether unsigned or not, defaults to signed\n * @returns {Long} The corresponding Long value\n */\nLong.fromBytesBE = function fromBytesBE(bytes, unsigned) {\n  return new Long(\n    (bytes[4] << 24) | (bytes[5] << 16) | (bytes[6] << 8) | bytes[7],\n    (bytes[0] << 24) | (bytes[1] << 16) | (bytes[2] << 8) | bytes[3],\n    unsigned,\n  );\n};\n\n// Support conversion to/from BigInt where available\nif (typeof BigInt === \"function\") {\n  /**\n   * Returns a Long representing the given big integer.\n   * @function\n   * @param {number} value The big integer value\n   * @param {boolean=} unsigned Whether unsigned or not, defaults to signed\n   * @returns {!Long} The corresponding Long value\n   */\n  Long.fromBigInt = function fromBigInt(value, unsigned) {\n    var lowBits = Number(BigInt.asIntN(32, value));\n    var highBits = Number(BigInt.asIntN(32, value >> BigInt(32)));\n    return fromBits(lowBits, highBits, unsigned);\n  };\n\n  // Override\n  Long.fromValue = function fromValueWithBigInt(value, unsigned) {\n    if (typeof value === \"bigint\") return Long.fromBigInt(value, unsigned);\n    return fromValue(value, unsigned);\n  };\n\n  /**\n   * Converts the Long to its big integer representation.\n   * @this {!Long}\n   * @returns {bigint}\n   */\n  LongPrototype.toBigInt = function toBigInt() {\n    var lowBigInt = BigInt(this.low >>> 0);\n    var highBigInt = BigInt(this.unsigned ? this.high >>> 0 : this.high);\n    return (highBigInt << BigInt(32)) | lowBigInt;\n  };\n}\n\nexport default Long;\n",null,null,null,null,null,null,null,null,null,"/**\n * Utilities for hex, bytes, CSPRNG.\n * @module\n */\n/*! noble-ciphers - MIT License (c) 2023 Paul Miller (paulmillr.com) */\n/** Checks if something is Uint8Array. Be careful: nodejs Buffer will return true. */\nexport function isBytes(a) {\n    return a instanceof Uint8Array || (ArrayBuffer.isView(a) && a.constructor.name === 'Uint8Array');\n}\n/** Asserts something is boolean. */\nexport function abool(b) {\n    if (typeof b !== 'boolean')\n        throw new Error(`boolean expected, not ${b}`);\n}\n/** Asserts something is positive integer. */\nexport function anumber(n) {\n    if (!Number.isSafeInteger(n) || n < 0)\n        throw new Error('positive integer expected, got ' + n);\n}\n/** Asserts something is Uint8Array. */\nexport function abytes(value, length, title = '') {\n    const bytes = isBytes(value);\n    const len = value?.length;\n    const needsLen = length !== undefined;\n    if (!bytes || (needsLen && len !== length)) {\n        const prefix = title && `\"${title}\" `;\n        const ofLen = needsLen ? ` of length ${length}` : '';\n        const got = bytes ? `length=${len}` : `type=${typeof value}`;\n        throw new Error(prefix + 'expected Uint8Array' + ofLen + ', got ' + got);\n    }\n    return value;\n}\n/** Asserts a hash instance has not been destroyed / finished */\nexport function aexists(instance, checkFinished = true) {\n    if (instance.destroyed)\n        throw new Error('Hash instance has been destroyed');\n    if (checkFinished && instance.finished)\n        throw new Error('Hash#digest() has already been called');\n}\n/** Asserts output is properly-sized byte array */\nexport function aoutput(out, instance) {\n    abytes(out, undefined, 'output');\n    const min = instance.outputLen;\n    if (out.length < min) {\n        throw new Error('digestInto() expects output buffer of length at least ' + min);\n    }\n}\n/** Cast u8 / u16 / u32 to u8. */\nexport function u8(arr) {\n    return new Uint8Array(arr.buffer, arr.byteOffset, arr.byteLength);\n}\n/** Cast u8 / u16 / u32 to u32. */\nexport function u32(arr) {\n    return new Uint32Array(arr.buffer, arr.byteOffset, Math.floor(arr.byteLength / 4));\n}\n/** Zeroize a byte array. Warning: JS provides no guarantees. */\nexport function clean(...arrays) {\n    for (let i = 0; i < arrays.length; i++) {\n        arrays[i].fill(0);\n    }\n}\n/** Create DataView of an array for easy byte-level manipulation. */\nexport function createView(arr) {\n    return new DataView(arr.buffer, arr.byteOffset, arr.byteLength);\n}\n/** Is current platform little-endian? Most are. Big-Endian platform: IBM */\nexport const isLE = /* @__PURE__ */ (() => new Uint8Array(new Uint32Array([0x11223344]).buffer)[0] === 0x44)();\n// Built-in hex conversion https://caniuse.com/mdn-javascript_builtins_uint8array_fromhex\nconst hasHexBuiltin = /* @__PURE__ */ (() => \n// @ts-ignore\ntypeof Uint8Array.from([]).toHex === 'function' && typeof Uint8Array.fromHex === 'function')();\n// Array where index 0xf0 (240) is mapped to string 'f0'\nconst hexes = /* @__PURE__ */ Array.from({ length: 256 }, (_, i) => i.toString(16).padStart(2, '0'));\n/**\n * Convert byte array to hex string. Uses built-in function, when available.\n * @example bytesToHex(Uint8Array.from([0xca, 0xfe, 0x01, 0x23])) // 'cafe0123'\n */\nexport function bytesToHex(bytes) {\n    abytes(bytes);\n    // @ts-ignore\n    if (hasHexBuiltin)\n        return bytes.toHex();\n    // pre-caching improves the speed 6x\n    let hex = '';\n    for (let i = 0; i < bytes.length; i++) {\n        hex += hexes[bytes[i]];\n    }\n    return hex;\n}\n// We use optimized technique to convert hex string to byte array\nconst asciis = { _0: 48, _9: 57, A: 65, F: 70, a: 97, f: 102 };\nfunction asciiToBase16(ch) {\n    if (ch >= asciis._0 && ch <= asciis._9)\n        return ch - asciis._0; // '2' => 50-48\n    if (ch >= asciis.A && ch <= asciis.F)\n        return ch - (asciis.A - 10); // 'B' => 66-(65-10)\n    if (ch >= asciis.a && ch <= asciis.f)\n        return ch - (asciis.a - 10); // 'b' => 98-(97-10)\n    return;\n}\n/**\n * Convert hex string to byte array. Uses built-in function, when available.\n * @example hexToBytes('cafe0123') // Uint8Array.from([0xca, 0xfe, 0x01, 0x23])\n */\nexport function hexToBytes(hex) {\n    if (typeof hex !== 'string')\n        throw new Error('hex string expected, got ' + typeof hex);\n    // @ts-ignore\n    if (hasHexBuiltin)\n        return Uint8Array.fromHex(hex);\n    const hl = hex.length;\n    const al = hl / 2;\n    if (hl % 2)\n        throw new Error('hex string expected, got unpadded hex of length ' + hl);\n    const array = new Uint8Array(al);\n    for (let ai = 0, hi = 0; ai < al; ai++, hi += 2) {\n        const n1 = asciiToBase16(hex.charCodeAt(hi));\n        const n2 = asciiToBase16(hex.charCodeAt(hi + 1));\n        if (n1 === undefined || n2 === undefined) {\n            const char = hex[hi] + hex[hi + 1];\n            throw new Error('hex string expected, got non-hex character \"' + char + '\" at index ' + hi);\n        }\n        array[ai] = n1 * 16 + n2; // multiply first octet, e.g. 'a3' => 10*16+3 => 160 + 3 => 163\n    }\n    return array;\n}\n// Used in micro\nexport function hexToNumber(hex) {\n    if (typeof hex !== 'string')\n        throw new Error('hex string expected, got ' + typeof hex);\n    return BigInt(hex === '' ? '0' : '0x' + hex); // Big Endian\n}\n// Used in ff1\n// BE: Big Endian, LE: Little Endian\nexport function bytesToNumberBE(bytes) {\n    return hexToNumber(bytesToHex(bytes));\n}\n// Used in micro, ff1\nexport function numberToBytesBE(n, len) {\n    return hexToBytes(n.toString(16).padStart(len * 2, '0'));\n}\n/**\n * Converts string to bytes using UTF8 encoding.\n * @example utf8ToBytes('abc') // new Uint8Array([97, 98, 99])\n */\nexport function utf8ToBytes(str) {\n    if (typeof str !== 'string')\n        throw new Error('string expected');\n    return new Uint8Array(new TextEncoder().encode(str)); // https://bugzil.la/1681809\n}\n/**\n * Converts bytes to string using UTF8 encoding.\n * @example bytesToUtf8(new Uint8Array([97, 98, 99])) // 'abc'\n */\nexport function bytesToUtf8(bytes) {\n    return new TextDecoder().decode(bytes);\n}\n/**\n * Checks if two U8A use same underlying buffer and overlaps.\n * This is invalid and can corrupt data.\n */\nexport function overlapBytes(a, b) {\n    return (a.buffer === b.buffer && // best we can do, may fail with an obscure Proxy\n        a.byteOffset < b.byteOffset + b.byteLength && // a starts before b end\n        b.byteOffset < a.byteOffset + a.byteLength // b starts before a end\n    );\n}\n/**\n * If input and output overlap and input starts before output, we will overwrite end of input before\n * we start processing it, so this is not supported for most ciphers (except chacha/salse, which designed with this)\n */\nexport function complexOverlapBytes(input, output) {\n    // This is very cursed. It works somehow, but I'm completely unsure,\n    // reasoning about overlapping aligned windows is very hard.\n    if (overlapBytes(input, output) && input.byteOffset < output.byteOffset)\n        throw new Error('complex overlap of input and output is not supported');\n}\n/**\n * Copies several Uint8Arrays into one.\n */\nexport function concatBytes(...arrays) {\n    let sum = 0;\n    for (let i = 0; i < arrays.length; i++) {\n        const a = arrays[i];\n        abytes(a);\n        sum += a.length;\n    }\n    const res = new Uint8Array(sum);\n    for (let i = 0, pad = 0; i < arrays.length; i++) {\n        const a = arrays[i];\n        res.set(a, pad);\n        pad += a.length;\n    }\n    return res;\n}\nexport function checkOpts(defaults, opts) {\n    if (opts == null || typeof opts !== 'object')\n        throw new Error('options must be defined');\n    const merged = Object.assign(defaults, opts);\n    return merged;\n}\n/** Compares 2 uint8array-s in kinda constant time. */\nexport function equalBytes(a, b) {\n    if (a.length !== b.length)\n        return false;\n    let diff = 0;\n    for (let i = 0; i < a.length; i++)\n        diff |= a[i] ^ b[i];\n    return diff === 0;\n}\n/**\n * Wraps a cipher: validates args, ensures encrypt() can only be called once.\n * @__NO_SIDE_EFFECTS__\n */\nexport const wrapCipher = (params, constructor) => {\n    function wrappedCipher(key, ...args) {\n        // Validate key\n        abytes(key, undefined, 'key');\n        // Big-Endian hardware is rare. Just in case someone still decides to run ciphers:\n        if (!isLE)\n            throw new Error('Non little-endian hardware is not yet supported');\n        // Validate nonce if nonceLength is present\n        if (params.nonceLength !== undefined) {\n            const nonce = args[0];\n            abytes(nonce, params.varSizeNonce ? undefined : params.nonceLength, 'nonce');\n        }\n        // Validate AAD if tagLength present\n        const tagl = params.tagLength;\n        if (tagl && args[1] !== undefined)\n            abytes(args[1], undefined, 'AAD');\n        const cipher = constructor(key, ...args);\n        const checkOutput = (fnLength, output) => {\n            if (output !== undefined) {\n                if (fnLength !== 2)\n                    throw new Error('cipher output not supported');\n                abytes(output, undefined, 'output');\n            }\n        };\n        // Create wrapped cipher with validation and single-use encryption\n        let called = false;\n        const wrCipher = {\n            encrypt(data, output) {\n                if (called)\n                    throw new Error('cannot encrypt() twice with same key + nonce');\n                called = true;\n                abytes(data);\n                checkOutput(cipher.encrypt.length, output);\n                return cipher.encrypt(data, output);\n            },\n            decrypt(data, output) {\n                abytes(data);\n                if (tagl && data.length < tagl)\n                    throw new Error('\"ciphertext\" expected length bigger than tagLength=' + tagl);\n                checkOutput(cipher.decrypt.length, output);\n                return cipher.decrypt(data, output);\n            },\n        };\n        return wrCipher;\n    }\n    Object.assign(wrappedCipher, params);\n    return wrappedCipher;\n};\n/**\n * By default, returns u8a of length.\n * When out is available, it checks it for validity and uses it.\n */\nexport function getOutput(expectedLength, out, onlyAligned = true) {\n    if (out === undefined)\n        return new Uint8Array(expectedLength);\n    if (out.length !== expectedLength)\n        throw new Error('\"output\" expected Uint8Array of length ' + expectedLength + ', got: ' + out.length);\n    if (onlyAligned && !isAligned32(out))\n        throw new Error('invalid output, must be aligned');\n    return out;\n}\nexport function u64Lengths(dataLength, aadLength, isLE) {\n    abool(isLE);\n    const num = new Uint8Array(16);\n    const view = createView(num);\n    view.setBigUint64(0, BigInt(aadLength), isLE);\n    view.setBigUint64(8, BigInt(dataLength), isLE);\n    return num;\n}\n// Is byte array aligned to 4 byte offset (u32)?\nexport function isAligned32(bytes) {\n    return bytes.byteOffset % 4 === 0;\n}\n// copy bytes to new u8a (aligned). Because Buffer.slice is broken.\nexport function copyBytes(bytes) {\n    return Uint8Array.from(bytes);\n}\n/** Cryptographically secure PRNG. Uses internal OS-level `crypto.getRandomValues`. */\nexport function randomBytes(bytesLength = 32) {\n    const cr = typeof globalThis === 'object' ? globalThis.crypto : null;\n    if (typeof cr?.getRandomValues !== 'function')\n        throw new Error('crypto.getRandomValues must be defined');\n    return cr.getRandomValues(new Uint8Array(bytesLength));\n}\n/**\n * Uses CSPRG for nonce, nonce injected in ciphertext.\n * For `encrypt`, a `nonceBytes`-length buffer is fetched from CSPRNG and\n * prepended to encrypted ciphertext. For `decrypt`, first `nonceBytes` of ciphertext\n * are treated as nonce.\n *\n * NOTE: Under the same key, using random nonces (e.g. `managedNonce`) with AES-GCM and ChaCha\n * should be limited to `2**23` (8M) messages to get a collision chance of `2**-50`. Stretching to  * `2**32` (4B) messages, chance would become `2**-33` - still negligible, but creeping up.\n * @example\n * const gcm = managedNonce(aes.gcm);\n * const ciphr = gcm(key).encrypt(data);\n * const plain = gcm(key).decrypt(ciph);\n */\nexport function managedNonce(fn, randomBytes_ = randomBytes) {\n    const { nonceLength } = fn;\n    anumber(nonceLength);\n    const addNonce = (nonce, ciphertext) => {\n        const out = concatBytes(nonce, ciphertext);\n        ciphertext.fill(0);\n        return out;\n    };\n    // NOTE: we cannot support DST here, it would be mistake:\n    // - we don't know how much dst length cipher requires\n    // - nonce may unalign dst and break everything\n    // - we create new u8a anyway (concatBytes)\n    // - previously we passed all args to cipher, but that was mistake!\n    return ((key, ...args) => ({\n        encrypt(plaintext) {\n            abytes(plaintext);\n            const nonce = randomBytes_(nonceLength);\n            const encrypted = fn(key, nonce, ...args).encrypt(plaintext);\n            // @ts-ignore\n            if (encrypted instanceof Promise)\n                return encrypted.then((ct) => addNonce(nonce, ct));\n            return addNonce(nonce, encrypted);\n        },\n        decrypt(ciphertext) {\n            abytes(ciphertext);\n            const nonce = ciphertext.subarray(0, nonceLength);\n            const decrypted = ciphertext.subarray(nonceLength);\n            return fn(key, nonce, ...args).decrypt(decrypted);\n        },\n    }));\n}\n//# sourceMappingURL=utils.js.map","/**\n * [AES](https://en.wikipedia.org/wiki/Advanced_Encryption_Standard)\n * a.k.a. Advanced Encryption Standard\n * is a variant of Rijndael block cipher, standardized by NIST in 2001.\n * We provide the fastest available pure JS implementation.\n *\n * `cipher = encrypt(block, key)`\n *\n * Data is split into 128-bit blocks. Encrypted in 10/12/14 rounds (128/192/256 bits). In every round:\n * 1. **S-box**, table substitution\n * 2. **Shift rows**, cyclic shift left of all rows of data array\n * 3. **Mix columns**, multiplying every column by fixed polynomial\n * 4. **Add round key**, round_key xor i-th column of array\n *\n * Check out [FIPS-197](https://csrc.nist.gov/files/pubs/fips/197/final/docs/fips-197.pdf),\n * [NIST 800-38G](https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-38G.pdf)\n * and [original proposal](https://csrc.nist.gov/csrc/media/projects/cryptographic-standards-and-guidelines/documents/aes-development/rijndael-ammended.pdf)\n * @module\n */\nimport { ghash, polyval } from \"./_polyval.js\";\n// prettier-ignore\nimport { abytes, anumber, clean, complexOverlapBytes, concatBytes, copyBytes, createView, equalBytes, getOutput, isAligned32, overlapBytes, u32, u64Lengths, u8, wrapCipher } from \"./utils.js\";\nconst BLOCK_SIZE = 16;\nconst BLOCK_SIZE32 = 4;\nconst EMPTY_BLOCK = /* @__PURE__ */ new Uint8Array(BLOCK_SIZE);\nconst POLY = 0x11b; // 1 + x + x**3 + x**4 + x**8\nfunction validateKeyLength(key) {\n    if (![16, 24, 32].includes(key.length))\n        throw new Error('\"aes key\" expected Uint8Array of length 16/24/32, got length=' + key.length);\n}\n// TODO: remove multiplication, binary ops only\nfunction mul2(n) {\n    return (n << 1) ^ (POLY & -(n >> 7));\n}\nfunction mul(a, b) {\n    let res = 0;\n    for (; b > 0; b >>= 1) {\n        // Montgomery ladder\n        res ^= a & -(b & 1); // if (b&1) res ^=a (but const-time).\n        a = mul2(a); // a = 2*a\n    }\n    return res;\n}\n// Increments bigint with wrap around\n// NOTE: we cannot use u32 here since it may overflow on carry!\nconst incBytes = (data, isLE, carry = 1) => {\n    if (!Number.isSafeInteger(carry))\n        throw new Error('incBytes: wrong carry ' + carry);\n    abytes(data);\n    for (let i = 0; i < data.length; i++) {\n        const pos = !isLE ? data.length - 1 - i : i;\n        carry = (carry + (data[pos] & 0xff)) | 0;\n        data[pos] = carry & 0xff;\n        carry >>>= 8;\n    }\n};\n// AES S-box is generated using finite field inversion,\n// an affine transform, and xor of a constant 0x63.\nconst sbox = /* @__PURE__ */ (() => {\n    const t = new Uint8Array(256);\n    for (let i = 0, x = 1; i < 256; i++, x ^= mul2(x))\n        t[i] = x;\n    const box = new Uint8Array(256);\n    box[0] = 0x63; // first elm\n    for (let i = 0; i < 255; i++) {\n        let x = t[255 - i];\n        x |= x << 8;\n        box[t[i]] = (x ^ (x >> 4) ^ (x >> 5) ^ (x >> 6) ^ (x >> 7) ^ 0x63) & 0xff;\n    }\n    clean(t);\n    return box;\n})();\n// Inverted S-box\nconst invSbox = /* @__PURE__ */ sbox.map((_, j) => sbox.indexOf(j));\n// Rotate u32 by 8\nconst rotr32_8 = (n) => (n << 24) | (n >>> 8);\nconst rotl32_8 = (n) => (n << 8) | (n >>> 24);\n// The byte swap operation for uint32 (LE<->BE)\nconst byteSwap = (word) => ((word << 24) & 0xff000000) |\n    ((word << 8) & 0xff0000) |\n    ((word >>> 8) & 0xff00) |\n    ((word >>> 24) & 0xff);\n// T-table is optimization suggested in 5.2 of original proposal (missed from FIPS-197). Changes:\n// - LE instead of BE\n// - bigger tables: T0 and T1 are merged into T01 table and T2 & T3 into T23;\n//   so index is u16, instead of u8. This speeds up things, unexpectedly\nfunction genTtable(sbox, fn) {\n    if (sbox.length !== 256)\n        throw new Error('Wrong sbox length');\n    const T0 = new Uint32Array(256).map((_, j) => fn(sbox[j]));\n    const T1 = T0.map(rotl32_8);\n    const T2 = T1.map(rotl32_8);\n    const T3 = T2.map(rotl32_8);\n    const T01 = new Uint32Array(256 * 256);\n    const T23 = new Uint32Array(256 * 256);\n    const sbox2 = new Uint16Array(256 * 256);\n    for (let i = 0; i < 256; i++) {\n        for (let j = 0; j < 256; j++) {\n            const idx = i * 256 + j;\n            T01[idx] = T0[i] ^ T1[j];\n            T23[idx] = T2[i] ^ T3[j];\n            sbox2[idx] = (sbox[i] << 8) | sbox[j];\n        }\n    }\n    return { sbox, sbox2, T0, T1, T2, T3, T01, T23 };\n}\nconst tableEncoding = /* @__PURE__ */ genTtable(sbox, (s) => (mul(s, 3) << 24) | (s << 16) | (s << 8) | mul(s, 2));\nconst tableDecoding = /* @__PURE__ */ genTtable(invSbox, (s) => (mul(s, 11) << 24) | (mul(s, 13) << 16) | (mul(s, 9) << 8) | mul(s, 14));\nconst xPowers = /* @__PURE__ */ (() => {\n    const p = new Uint8Array(16);\n    for (let i = 0, x = 1; i < 16; i++, x = mul2(x))\n        p[i] = x;\n    return p;\n})();\n/** Key expansion used in CTR. */\nfunction expandKeyLE(key) {\n    abytes(key);\n    const len = key.length;\n    validateKeyLength(key);\n    const { sbox2 } = tableEncoding;\n    const toClean = [];\n    if (!isAligned32(key))\n        toClean.push((key = copyBytes(key)));\n    const k32 = u32(key);\n    const Nk = k32.length;\n    const subByte = (n) => applySbox(sbox2, n, n, n, n);\n    const xk = new Uint32Array(len + 28); // expanded key\n    xk.set(k32);\n    // 4.3.1 Key expansion\n    for (let i = Nk; i < xk.length; i++) {\n        let t = xk[i - 1];\n        if (i % Nk === 0)\n            t = subByte(rotr32_8(t)) ^ xPowers[i / Nk - 1];\n        else if (Nk > 6 && i % Nk === 4)\n            t = subByte(t);\n        xk[i] = xk[i - Nk] ^ t;\n    }\n    clean(...toClean);\n    return xk;\n}\nfunction expandKeyDecLE(key) {\n    const encKey = expandKeyLE(key);\n    const xk = encKey.slice();\n    const Nk = encKey.length;\n    const { sbox2 } = tableEncoding;\n    const { T0, T1, T2, T3 } = tableDecoding;\n    // Inverse key by chunks of 4 (rounds)\n    for (let i = 0; i < Nk; i += 4) {\n        for (let j = 0; j < 4; j++)\n            xk[i + j] = encKey[Nk - i - 4 + j];\n    }\n    clean(encKey);\n    // apply InvMixColumn except first & last round\n    for (let i = 4; i < Nk - 4; i++) {\n        const x = xk[i];\n        const w = applySbox(sbox2, x, x, x, x);\n        xk[i] = T0[w & 0xff] ^ T1[(w >>> 8) & 0xff] ^ T2[(w >>> 16) & 0xff] ^ T3[w >>> 24];\n    }\n    return xk;\n}\n// Apply tables\nfunction apply0123(T01, T23, s0, s1, s2, s3) {\n    return (T01[((s0 << 8) & 0xff00) | ((s1 >>> 8) & 0xff)] ^\n        T23[((s2 >>> 8) & 0xff00) | ((s3 >>> 24) & 0xff)]);\n}\nfunction applySbox(sbox2, s0, s1, s2, s3) {\n    return (sbox2[(s0 & 0xff) | (s1 & 0xff00)] |\n        (sbox2[((s2 >>> 16) & 0xff) | ((s3 >>> 16) & 0xff00)] << 16));\n}\nfunction encrypt(xk, s0, s1, s2, s3) {\n    const { sbox2, T01, T23 } = tableEncoding;\n    let k = 0;\n    ((s0 ^= xk[k++]), (s1 ^= xk[k++]), (s2 ^= xk[k++]), (s3 ^= xk[k++]));\n    const rounds = xk.length / 4 - 2;\n    for (let i = 0; i < rounds; i++) {\n        const t0 = xk[k++] ^ apply0123(T01, T23, s0, s1, s2, s3);\n        const t1 = xk[k++] ^ apply0123(T01, T23, s1, s2, s3, s0);\n        const t2 = xk[k++] ^ apply0123(T01, T23, s2, s3, s0, s1);\n        const t3 = xk[k++] ^ apply0123(T01, T23, s3, s0, s1, s2);\n        ((s0 = t0), (s1 = t1), (s2 = t2), (s3 = t3));\n    }\n    // last round (without mixcolumns, so using SBOX2 table)\n    const t0 = xk[k++] ^ applySbox(sbox2, s0, s1, s2, s3);\n    const t1 = xk[k++] ^ applySbox(sbox2, s1, s2, s3, s0);\n    const t2 = xk[k++] ^ applySbox(sbox2, s2, s3, s0, s1);\n    const t3 = xk[k++] ^ applySbox(sbox2, s3, s0, s1, s2);\n    return { s0: t0, s1: t1, s2: t2, s3: t3 };\n}\n// Can't be merged with encrypt: arg positions for apply0123 / applySbox are different\nfunction decrypt(xk, s0, s1, s2, s3) {\n    const { sbox2, T01, T23 } = tableDecoding;\n    let k = 0;\n    ((s0 ^= xk[k++]), (s1 ^= xk[k++]), (s2 ^= xk[k++]), (s3 ^= xk[k++]));\n    const rounds = xk.length / 4 - 2;\n    for (let i = 0; i < rounds; i++) {\n        const t0 = xk[k++] ^ apply0123(T01, T23, s0, s3, s2, s1);\n        const t1 = xk[k++] ^ apply0123(T01, T23, s1, s0, s3, s2);\n        const t2 = xk[k++] ^ apply0123(T01, T23, s2, s1, s0, s3);\n        const t3 = xk[k++] ^ apply0123(T01, T23, s3, s2, s1, s0);\n        ((s0 = t0), (s1 = t1), (s2 = t2), (s3 = t3));\n    }\n    // Last round\n    const t0 = xk[k++] ^ applySbox(sbox2, s0, s3, s2, s1);\n    const t1 = xk[k++] ^ applySbox(sbox2, s1, s0, s3, s2);\n    const t2 = xk[k++] ^ applySbox(sbox2, s2, s1, s0, s3);\n    const t3 = xk[k++] ^ applySbox(sbox2, s3, s2, s1, s0);\n    return { s0: t0, s1: t1, s2: t2, s3: t3 };\n}\n// TODO: investigate merging with ctr32\nfunction ctrCounter(xk, nonce, src, dst) {\n    abytes(nonce, BLOCK_SIZE, 'nonce');\n    abytes(src);\n    const srcLen = src.length;\n    dst = getOutput(srcLen, dst);\n    complexOverlapBytes(src, dst);\n    const ctr = nonce;\n    const c32 = u32(ctr);\n    // Fill block (empty, ctr=0)\n    let { s0, s1, s2, s3 } = encrypt(xk, c32[0], c32[1], c32[2], c32[3]);\n    const src32 = u32(src);\n    const dst32 = u32(dst);\n    // process blocks\n    for (let i = 0; i + 4 <= src32.length; i += 4) {\n        dst32[i + 0] = src32[i + 0] ^ s0;\n        dst32[i + 1] = src32[i + 1] ^ s1;\n        dst32[i + 2] = src32[i + 2] ^ s2;\n        dst32[i + 3] = src32[i + 3] ^ s3;\n        incBytes(ctr, false, 1); // Full 128 bit counter with wrap around\n        ({ s0, s1, s2, s3 } = encrypt(xk, c32[0], c32[1], c32[2], c32[3]));\n    }\n    // leftovers (less than block)\n    // It's possible to handle > u32 fast, but is it worth it?\n    const start = BLOCK_SIZE * Math.floor(src32.length / BLOCK_SIZE32);\n    if (start < srcLen) {\n        const b32 = new Uint32Array([s0, s1, s2, s3]);\n        const buf = u8(b32);\n        for (let i = start, pos = 0; i < srcLen; i++, pos++)\n            dst[i] = src[i] ^ buf[pos];\n        clean(b32);\n    }\n    return dst;\n}\n// AES CTR with overflowing 32 bit counter\n// It's possible to do 32le significantly simpler (and probably faster) by using u32.\n// But, we need both, and perf bottleneck is in ghash anyway.\nfunction ctr32(xk, isLE, nonce, src, dst) {\n    abytes(nonce, BLOCK_SIZE, 'nonce');\n    abytes(src);\n    dst = getOutput(src.length, dst);\n    const ctr = nonce; // write new value to nonce, so it can be re-used\n    const c32 = u32(ctr);\n    const view = createView(ctr);\n    const src32 = u32(src);\n    const dst32 = u32(dst);\n    const ctrPos = isLE ? 0 : 12;\n    const srcLen = src.length;\n    // Fill block (empty, ctr=0)\n    let ctrNum = view.getUint32(ctrPos, isLE); // read current counter value\n    let { s0, s1, s2, s3 } = encrypt(xk, c32[0], c32[1], c32[2], c32[3]);\n    // process blocks\n    for (let i = 0; i + 4 <= src32.length; i += 4) {\n        dst32[i + 0] = src32[i + 0] ^ s0;\n        dst32[i + 1] = src32[i + 1] ^ s1;\n        dst32[i + 2] = src32[i + 2] ^ s2;\n        dst32[i + 3] = src32[i + 3] ^ s3;\n        ctrNum = (ctrNum + 1) >>> 0; // u32 wrap\n        view.setUint32(ctrPos, ctrNum, isLE);\n        ({ s0, s1, s2, s3 } = encrypt(xk, c32[0], c32[1], c32[2], c32[3]));\n    }\n    // leftovers (less than a block)\n    const start = BLOCK_SIZE * Math.floor(src32.length / BLOCK_SIZE32);\n    if (start < srcLen) {\n        const b32 = new Uint32Array([s0, s1, s2, s3]);\n        const buf = u8(b32);\n        for (let i = start, pos = 0; i < srcLen; i++, pos++)\n            dst[i] = src[i] ^ buf[pos];\n        clean(b32);\n    }\n    return dst;\n}\n/**\n * **CTR** (Counter Mode): Turns a block cipher into a stream cipher using a counter and IV (nonce).\n * Efficient and parallelizable. Requires a unique nonce per encryption. Unauthenticated: needs MAC.\n */\nexport const ctr = /* @__PURE__ */ wrapCipher({ blockSize: 16, nonceLength: 16 }, function aesctr(key, nonce) {\n    function processCtr(buf, dst) {\n        abytes(buf);\n        if (dst !== undefined) {\n            abytes(dst);\n            if (!isAligned32(dst))\n                throw new Error('unaligned destination');\n        }\n        const xk = expandKeyLE(key);\n        const n = copyBytes(nonce); // align + avoid changing\n        const toClean = [xk, n];\n        if (!isAligned32(buf))\n            toClean.push((buf = copyBytes(buf)));\n        const out = ctrCounter(xk, n, buf, dst);\n        clean(...toClean);\n        return out;\n    }\n    return {\n        encrypt: (plaintext, dst) => processCtr(plaintext, dst),\n        decrypt: (ciphertext, dst) => processCtr(ciphertext, dst),\n    };\n});\nfunction validateBlockDecrypt(data) {\n    abytes(data);\n    if (data.length % BLOCK_SIZE !== 0) {\n        throw new Error('aes-(cbc/ecb).decrypt ciphertext should consist of blocks with size ' + BLOCK_SIZE);\n    }\n}\nfunction validateBlockEncrypt(plaintext, pcks5, dst) {\n    abytes(plaintext);\n    let outLen = plaintext.length;\n    const remaining = outLen % BLOCK_SIZE;\n    if (!pcks5 && remaining !== 0)\n        throw new Error('aec/(cbc-ecb): unpadded plaintext with disabled padding');\n    if (!isAligned32(plaintext))\n        plaintext = copyBytes(plaintext);\n    const b = u32(plaintext);\n    if (pcks5) {\n        let left = BLOCK_SIZE - remaining;\n        if (!left)\n            left = BLOCK_SIZE; // if no bytes left, create empty padding block\n        outLen = outLen + left;\n    }\n    dst = getOutput(outLen, dst);\n    complexOverlapBytes(plaintext, dst);\n    const o = u32(dst);\n    return { b, o, out: dst };\n}\nfunction validatePCKS(data, pcks5) {\n    if (!pcks5)\n        return data;\n    const len = data.length;\n    if (!len)\n        throw new Error('aes/pcks5: empty ciphertext not allowed');\n    const lastByte = data[len - 1];\n    if (lastByte <= 0 || lastByte > 16)\n        throw new Error('aes/pcks5: wrong padding');\n    const out = data.subarray(0, -lastByte);\n    for (let i = 0; i < lastByte; i++)\n        if (data[len - i - 1] !== lastByte)\n            throw new Error('aes/pcks5: wrong padding');\n    return out;\n}\nfunction padPCKS(left) {\n    const tmp = new Uint8Array(16);\n    const tmp32 = u32(tmp);\n    tmp.set(left);\n    const paddingByte = BLOCK_SIZE - left.length;\n    for (let i = BLOCK_SIZE - paddingByte; i < BLOCK_SIZE; i++)\n        tmp[i] = paddingByte;\n    return tmp32;\n}\n/**\n * **ECB** (Electronic Codebook): Deterministic encryption; identical plaintext blocks yield\n * identical ciphertexts. Not secure due to pattern leakage.\n * See [AES Penguin](https://words.filippo.io/the-ecb-penguin/).\n */\nexport const ecb = /* @__PURE__ */ wrapCipher({ blockSize: 16 }, function aesecb(key, opts = {}) {\n    const pcks5 = !opts.disablePadding;\n    return {\n        encrypt(plaintext, dst) {\n            const { b, o, out: _out } = validateBlockEncrypt(plaintext, pcks5, dst);\n            const xk = expandKeyLE(key);\n            let i = 0;\n            for (; i + 4 <= b.length;) {\n                const { s0, s1, s2, s3 } = encrypt(xk, b[i + 0], b[i + 1], b[i + 2], b[i + 3]);\n                ((o[i++] = s0), (o[i++] = s1), (o[i++] = s2), (o[i++] = s3));\n            }\n            if (pcks5) {\n                const tmp32 = padPCKS(plaintext.subarray(i * 4));\n                const { s0, s1, s2, s3 } = encrypt(xk, tmp32[0], tmp32[1], tmp32[2], tmp32[3]);\n                ((o[i++] = s0), (o[i++] = s1), (o[i++] = s2), (o[i++] = s3));\n            }\n            clean(xk);\n            return _out;\n        },\n        decrypt(ciphertext, dst) {\n            validateBlockDecrypt(ciphertext);\n            const xk = expandKeyDecLE(key);\n            dst = getOutput(ciphertext.length, dst);\n            const toClean = [xk];\n            if (!isAligned32(ciphertext))\n                toClean.push((ciphertext = copyBytes(ciphertext)));\n            complexOverlapBytes(ciphertext, dst);\n            const b = u32(ciphertext);\n            const o = u32(dst);\n            for (let i = 0; i + 4 <= b.length;) {\n                const { s0, s1, s2, s3 } = decrypt(xk, b[i + 0], b[i + 1], b[i + 2], b[i + 3]);\n                ((o[i++] = s0), (o[i++] = s1), (o[i++] = s2), (o[i++] = s3));\n            }\n            clean(...toClean);\n            return validatePCKS(dst, pcks5);\n        },\n    };\n});\n/**\n * **CBC** (Cipher Block Chaining): Each plaintext block is XORed with the\n * previous block of ciphertext before encryption.\n * Hard to use: requires proper padding and an IV. Unauthenticated: needs MAC.\n */\nexport const cbc = /* @__PURE__ */ wrapCipher({ blockSize: 16, nonceLength: 16 }, function aescbc(key, iv, opts = {}) {\n    const pcks5 = !opts.disablePadding;\n    return {\n        encrypt(plaintext, dst) {\n            const xk = expandKeyLE(key);\n            const { b, o, out: _out } = validateBlockEncrypt(plaintext, pcks5, dst);\n            let _iv = iv;\n            const toClean = [xk];\n            if (!isAligned32(_iv))\n                toClean.push((_iv = copyBytes(_iv)));\n            const n32 = u32(_iv);\n            // prettier-ignore\n            let s0 = n32[0], s1 = n32[1], s2 = n32[2], s3 = n32[3];\n            let i = 0;\n            for (; i + 4 <= b.length;) {\n                ((s0 ^= b[i + 0]), (s1 ^= b[i + 1]), (s2 ^= b[i + 2]), (s3 ^= b[i + 3]));\n                ({ s0, s1, s2, s3 } = encrypt(xk, s0, s1, s2, s3));\n                ((o[i++] = s0), (o[i++] = s1), (o[i++] = s2), (o[i++] = s3));\n            }\n            if (pcks5) {\n                const tmp32 = padPCKS(plaintext.subarray(i * 4));\n                ((s0 ^= tmp32[0]), (s1 ^= tmp32[1]), (s2 ^= tmp32[2]), (s3 ^= tmp32[3]));\n                ({ s0, s1, s2, s3 } = encrypt(xk, s0, s1, s2, s3));\n                ((o[i++] = s0), (o[i++] = s1), (o[i++] = s2), (o[i++] = s3));\n            }\n            clean(...toClean);\n            return _out;\n        },\n        decrypt(ciphertext, dst) {\n            validateBlockDecrypt(ciphertext);\n            const xk = expandKeyDecLE(key);\n            let _iv = iv;\n            const toClean = [xk];\n            if (!isAligned32(_iv))\n                toClean.push((_iv = copyBytes(_iv)));\n            const n32 = u32(_iv);\n            dst = getOutput(ciphertext.length, dst);\n            if (!isAligned32(ciphertext))\n                toClean.push((ciphertext = copyBytes(ciphertext)));\n            complexOverlapBytes(ciphertext, dst);\n            const b = u32(ciphertext);\n            const o = u32(dst);\n            // prettier-ignore\n            let s0 = n32[0], s1 = n32[1], s2 = n32[2], s3 = n32[3];\n            for (let i = 0; i + 4 <= b.length;) {\n                // prettier-ignore\n                const ps0 = s0, ps1 = s1, ps2 = s2, ps3 = s3;\n                ((s0 = b[i + 0]), (s1 = b[i + 1]), (s2 = b[i + 2]), (s3 = b[i + 3]));\n                const { s0: o0, s1: o1, s2: o2, s3: o3 } = decrypt(xk, s0, s1, s2, s3);\n                ((o[i++] = o0 ^ ps0), (o[i++] = o1 ^ ps1), (o[i++] = o2 ^ ps2), (o[i++] = o3 ^ ps3));\n            }\n            clean(...toClean);\n            return validatePCKS(dst, pcks5);\n        },\n    };\n});\n/**\n * CFB: Cipher Feedback Mode. The input for the block cipher is the previous cipher output.\n * Unauthenticated: needs MAC.\n */\nexport const cfb = /* @__PURE__ */ wrapCipher({ blockSize: 16, nonceLength: 16 }, function aescfb(key, iv) {\n    function processCfb(src, isEncrypt, dst) {\n        abytes(src);\n        const srcLen = src.length;\n        dst = getOutput(srcLen, dst);\n        if (overlapBytes(src, dst))\n            throw new Error('overlapping src and dst not supported.');\n        const xk = expandKeyLE(key);\n        let _iv = iv;\n        const toClean = [xk];\n        if (!isAligned32(_iv))\n            toClean.push((_iv = copyBytes(_iv)));\n        if (!isAligned32(src))\n            toClean.push((src = copyBytes(src)));\n        const src32 = u32(src);\n        const dst32 = u32(dst);\n        const next32 = isEncrypt ? dst32 : src32;\n        const n32 = u32(_iv);\n        // prettier-ignore\n        let s0 = n32[0], s1 = n32[1], s2 = n32[2], s3 = n32[3];\n        for (let i = 0; i + 4 <= src32.length;) {\n            const { s0: e0, s1: e1, s2: e2, s3: e3 } = encrypt(xk, s0, s1, s2, s3);\n            dst32[i + 0] = src32[i + 0] ^ e0;\n            dst32[i + 1] = src32[i + 1] ^ e1;\n            dst32[i + 2] = src32[i + 2] ^ e2;\n            dst32[i + 3] = src32[i + 3] ^ e3;\n            ((s0 = next32[i++]), (s1 = next32[i++]), (s2 = next32[i++]), (s3 = next32[i++]));\n        }\n        // leftovers (less than block)\n        const start = BLOCK_SIZE * Math.floor(src32.length / BLOCK_SIZE32);\n        if (start < srcLen) {\n            ({ s0, s1, s2, s3 } = encrypt(xk, s0, s1, s2, s3));\n            const buf = u8(new Uint32Array([s0, s1, s2, s3]));\n            for (let i = start, pos = 0; i < srcLen; i++, pos++)\n                dst[i] = src[i] ^ buf[pos];\n            clean(buf);\n        }\n        clean(...toClean);\n        return dst;\n    }\n    return {\n        encrypt: (plaintext, dst) => processCfb(plaintext, true, dst),\n        decrypt: (ciphertext, dst) => processCfb(ciphertext, false, dst),\n    };\n});\n// TODO: merge with chacha, however gcm has bitLen while chacha has byteLen\nfunction computeTag(fn, isLE, key, data, AAD) {\n    const aadLength = AAD ? AAD.length : 0;\n    const h = fn.create(key, data.length + aadLength);\n    if (AAD)\n        h.update(AAD);\n    const num = u64Lengths(8 * data.length, 8 * aadLength, isLE);\n    h.update(data);\n    h.update(num);\n    const res = h.digest();\n    clean(num);\n    return res;\n}\n/**\n * **GCM** (Galois/Counter Mode): Combines CTR mode with polynomial MAC. Efficient and widely used.\n * Not perfect:\n * a) conservative key wear-out is `2**32` (4B) msgs.\n * b) key wear-out under random nonces is even smaller: `2**23` (8M) messages for `2**-50` chance.\n * c) MAC can be forged: see Poly1305 documentation.\n */\nexport const gcm = /* @__PURE__ */ wrapCipher({ blockSize: 16, nonceLength: 12, tagLength: 16, varSizeNonce: true }, function aesgcm(key, nonce, AAD) {\n    // NIST 800-38d doesn't enforce minimum nonce length.\n    // We enforce 8 bytes for compat with openssl.\n    // 12 bytes are recommended. More than 12 bytes would be converted into 12.\n    if (nonce.length < 8)\n        throw new Error('aes/gcm: invalid nonce length');\n    const tagLength = 16;\n    function _computeTag(authKey, tagMask, data) {\n        const tag = computeTag(ghash, false, authKey, data, AAD);\n        for (let i = 0; i < tagMask.length; i++)\n            tag[i] ^= tagMask[i];\n        return tag;\n    }\n    function deriveKeys() {\n        const xk = expandKeyLE(key);\n        const authKey = EMPTY_BLOCK.slice();\n        const counter = EMPTY_BLOCK.slice();\n        ctr32(xk, false, counter, counter, authKey);\n        // NIST 800-38d, page 15: different behavior for 96-bit and non-96-bit nonces\n        if (nonce.length === 12) {\n            counter.set(nonce);\n        }\n        else {\n            const nonceLen = EMPTY_BLOCK.slice();\n            const view = createView(nonceLen);\n            view.setBigUint64(8, BigInt(nonce.length * 8), false);\n            // ghash(nonce || u64be(0) || u64be(nonceLen*8))\n            const g = ghash.create(authKey).update(nonce).update(nonceLen);\n            g.digestInto(counter); // digestInto doesn't trigger '.destroy'\n            g.destroy();\n        }\n        const tagMask = ctr32(xk, false, counter, EMPTY_BLOCK);\n        return { xk, authKey, counter, tagMask };\n    }\n    return {\n        encrypt(plaintext) {\n            const { xk, authKey, counter, tagMask } = deriveKeys();\n            const out = new Uint8Array(plaintext.length + tagLength);\n            const toClean = [xk, authKey, counter, tagMask];\n            if (!isAligned32(plaintext))\n                toClean.push((plaintext = copyBytes(plaintext)));\n            ctr32(xk, false, counter, plaintext, out.subarray(0, plaintext.length));\n            const tag = _computeTag(authKey, tagMask, out.subarray(0, out.length - tagLength));\n            toClean.push(tag);\n            out.set(tag, plaintext.length);\n            clean(...toClean);\n            return out;\n        },\n        decrypt(ciphertext) {\n            const { xk, authKey, counter, tagMask } = deriveKeys();\n            const toClean = [xk, authKey, tagMask, counter];\n            if (!isAligned32(ciphertext))\n                toClean.push((ciphertext = copyBytes(ciphertext)));\n            const data = ciphertext.subarray(0, -tagLength);\n            const passedTag = ciphertext.subarray(-tagLength);\n            const tag = _computeTag(authKey, tagMask, data);\n            toClean.push(tag);\n            if (!equalBytes(tag, passedTag))\n                throw new Error('aes/gcm: invalid ghash tag');\n            const out = ctr32(xk, false, counter, data);\n            clean(...toClean);\n            return out;\n        },\n    };\n});\nconst limit = (name, min, max) => (value) => {\n    if (!Number.isSafeInteger(value) || min > value || value > max) {\n        const minmax = '[' + min + '..' + max + ']';\n        throw new Error('' + name + ': expected value in range ' + minmax + ', got ' + value);\n    }\n};\n/**\n * **SIV** (Synthetic IV): GCM with nonce-misuse resistance.\n * Repeating nonces reveal only the fact plaintexts are identical.\n * Also suffers from GCM issues: key wear-out limits & MAC forging.\n * See [RFC 8452](https://www.rfc-editor.org/rfc/rfc8452).\n */\nexport const gcmsiv = /* @__PURE__ */ wrapCipher({ blockSize: 16, nonceLength: 12, tagLength: 16, varSizeNonce: true }, function aessiv(key, nonce, AAD) {\n    const tagLength = 16;\n    // From RFC 8452: Section 6\n    const AAD_LIMIT = limit('AAD', 0, 2 ** 36);\n    const PLAIN_LIMIT = limit('plaintext', 0, 2 ** 36);\n    const NONCE_LIMIT = limit('nonce', 12, 12);\n    const CIPHER_LIMIT = limit('ciphertext', 16, 2 ** 36 + 16);\n    abytes(key);\n    validateKeyLength(key);\n    NONCE_LIMIT(nonce.length);\n    if (AAD !== undefined)\n        AAD_LIMIT(AAD.length);\n    function deriveKeys() {\n        const xk = expandKeyLE(key);\n        const encKey = new Uint8Array(key.length);\n        const authKey = new Uint8Array(16);\n        const toClean = [xk, encKey];\n        let _nonce = nonce;\n        if (!isAligned32(_nonce))\n            toClean.push((_nonce = copyBytes(_nonce)));\n        const n32 = u32(_nonce);\n        // prettier-ignore\n        let s0 = 0, s1 = n32[0], s2 = n32[1], s3 = n32[2];\n        let counter = 0;\n        for (const derivedKey of [authKey, encKey].map(u32)) {\n            const d32 = u32(derivedKey);\n            for (let i = 0; i < d32.length; i += 2) {\n                // aes(u32le(0) || nonce)[:8] || aes(u32le(1) || nonce)[:8] ...\n                const { s0: o0, s1: o1 } = encrypt(xk, s0, s1, s2, s3);\n                d32[i + 0] = o0;\n                d32[i + 1] = o1;\n                s0 = ++counter; // increment counter inside state\n            }\n        }\n        const res = { authKey, encKey: expandKeyLE(encKey) };\n        // Cleanup\n        clean(...toClean);\n        return res;\n    }\n    function _computeTag(encKey, authKey, data) {\n        const tag = computeTag(polyval, true, authKey, data, AAD);\n        // Compute the expected tag by XORing S_s and the nonce, clearing the\n        // most significant bit of the last byte and encrypting with the\n        // message-encryption key.\n        for (let i = 0; i < 12; i++)\n            tag[i] ^= nonce[i];\n        tag[15] &= 0x7f; // Clear the highest bit\n        // encrypt tag as block\n        const t32 = u32(tag);\n        // prettier-ignore\n        let s0 = t32[0], s1 = t32[1], s2 = t32[2], s3 = t32[3];\n        ({ s0, s1, s2, s3 } = encrypt(encKey, s0, s1, s2, s3));\n        ((t32[0] = s0), (t32[1] = s1), (t32[2] = s2), (t32[3] = s3));\n        return tag;\n    }\n    // actual decrypt/encrypt of message.\n    function processSiv(encKey, tag, input) {\n        let block = copyBytes(tag);\n        block[15] |= 0x80; // Force highest bit\n        const res = ctr32(encKey, true, block, input);\n        // Cleanup\n        clean(block);\n        return res;\n    }\n    return {\n        encrypt(plaintext) {\n            PLAIN_LIMIT(plaintext.length);\n            const { encKey, authKey } = deriveKeys();\n            const tag = _computeTag(encKey, authKey, plaintext);\n            const toClean = [encKey, authKey, tag];\n            if (!isAligned32(plaintext))\n                toClean.push((plaintext = copyBytes(plaintext)));\n            const out = new Uint8Array(plaintext.length + tagLength);\n            out.set(tag, plaintext.length);\n            out.set(processSiv(encKey, tag, plaintext));\n            // Cleanup\n            clean(...toClean);\n            return out;\n        },\n        decrypt(ciphertext) {\n            CIPHER_LIMIT(ciphertext.length);\n            const tag = ciphertext.subarray(-tagLength);\n            const { encKey, authKey } = deriveKeys();\n            const toClean = [encKey, authKey];\n            if (!isAligned32(ciphertext))\n                toClean.push((ciphertext = copyBytes(ciphertext)));\n            const plaintext = processSiv(encKey, tag, ciphertext.subarray(0, -tagLength));\n            const expectedTag = _computeTag(encKey, authKey, plaintext);\n            toClean.push(expectedTag);\n            if (!equalBytes(tag, expectedTag)) {\n                clean(...toClean);\n                throw new Error('invalid polyval tag');\n            }\n            // Cleanup\n            clean(...toClean);\n            return plaintext;\n        },\n    };\n});\n/**\n * AES-GCM-SIV, not AES-SIV.\n * This is legace name, use `gcmsiv` export instead.\n * @deprecated\n */\nexport const siv = gcmsiv;\nfunction isBytes32(a) {\n    return (a instanceof Uint32Array || (ArrayBuffer.isView(a) && a.constructor.name === 'Uint32Array'));\n}\nfunction encryptBlock(xk, block) {\n    abytes(block, 16, 'block');\n    if (!isBytes32(xk))\n        throw new Error('_encryptBlock accepts result of expandKeyLE');\n    const b32 = u32(block);\n    let { s0, s1, s2, s3 } = encrypt(xk, b32[0], b32[1], b32[2], b32[3]);\n    ((b32[0] = s0), (b32[1] = s1), (b32[2] = s2), (b32[3] = s3));\n    return block;\n}\nfunction decryptBlock(xk, block) {\n    abytes(block, 16, 'block');\n    if (!isBytes32(xk))\n        throw new Error('_decryptBlock accepts result of expandKeyLE');\n    const b32 = u32(block);\n    let { s0, s1, s2, s3 } = decrypt(xk, b32[0], b32[1], b32[2], b32[3]);\n    ((b32[0] = s0), (b32[1] = s1), (b32[2] = s2), (b32[3] = s3));\n    return block;\n}\n/**\n * AES-W (base for AESKW/AESKWP).\n * Specs: [SP800-38F](https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-38F.pdf),\n * [RFC 3394](https://www.rfc-editor.org/rfc/rfc3394),\n * [RFC 5649](https://www.rfc-editor.org/rfc/rfc5649).\n */\nconst AESW = {\n    /*\n    High-level pseudocode:\n    ```\n    A: u64 = IV\n    out = []\n    for (let i=0, ctr = 0; i<6; i++) {\n      for (const chunk of chunks(plaintext, 8)) {\n        A ^= swapEndianess(ctr++)\n        [A, res] = chunks(encrypt(A || chunk), 8);\n        out ||= res\n      }\n    }\n    out = A || out\n    ```\n    Decrypt is the same, but reversed.\n    */\n    encrypt(kek, out) {\n        // Size is limited to 4GB, otherwise ctr will overflow and we'll need to switch to bigints.\n        // If you need it larger, open an issue.\n        if (out.length >= 2 ** 32)\n            throw new Error('plaintext should be less than 4gb');\n        const xk = expandKeyLE(kek);\n        if (out.length === 16)\n            encryptBlock(xk, out);\n        else {\n            const o32 = u32(out);\n            // prettier-ignore\n            let a0 = o32[0], a1 = o32[1]; // A\n            for (let j = 0, ctr = 1; j < 6; j++) {\n                for (let pos = 2; pos < o32.length; pos += 2, ctr++) {\n                    const { s0, s1, s2, s3 } = encrypt(xk, a0, a1, o32[pos], o32[pos + 1]);\n                    // A = MSB(64, B) ^ t where t = (n*j)+i\n                    ((a0 = s0), (a1 = s1 ^ byteSwap(ctr)), (o32[pos] = s2), (o32[pos + 1] = s3));\n                }\n            }\n            ((o32[0] = a0), (o32[1] = a1)); // out = A || out\n        }\n        xk.fill(0);\n    },\n    decrypt(kek, out) {\n        if (out.length - 8 >= 2 ** 32)\n            throw new Error('ciphertext should be less than 4gb');\n        const xk = expandKeyDecLE(kek);\n        const chunks = out.length / 8 - 1; // first chunk is IV\n        if (chunks === 1)\n            decryptBlock(xk, out);\n        else {\n            const o32 = u32(out);\n            // prettier-ignore\n            let a0 = o32[0], a1 = o32[1]; // A\n            for (let j = 0, ctr = chunks * 6; j < 6; j++) {\n                for (let pos = chunks * 2; pos >= 1; pos -= 2, ctr--) {\n                    a1 ^= byteSwap(ctr);\n                    const { s0, s1, s2, s3 } = decrypt(xk, a0, a1, o32[pos], o32[pos + 1]);\n                    ((a0 = s0), (a1 = s1), (o32[pos] = s2), (o32[pos + 1] = s3));\n                }\n            }\n            ((o32[0] = a0), (o32[1] = a1));\n        }\n        xk.fill(0);\n    },\n};\nconst AESKW_IV = /* @__PURE__ */ new Uint8Array(8).fill(0xa6); // A6A6A6A6A6A6A6A6\n/**\n * AES-KW (key-wrap). Injects static IV into plaintext, adds counter, encrypts 6 times.\n * Reduces block size from 16 to 8 bytes.\n * For padded version, use aeskwp.\n * [RFC 3394](https://www.rfc-editor.org/rfc/rfc3394/),\n * [NIST.SP.800-38F](https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-38F.pdf).\n */\nexport const aeskw = /* @__PURE__ */ wrapCipher({ blockSize: 8 }, (kek) => ({\n    encrypt(plaintext) {\n        if (!plaintext.length || plaintext.length % 8 !== 0)\n            throw new Error('invalid plaintext length');\n        if (plaintext.length === 8)\n            throw new Error('8-byte keys not allowed in AESKW, use AESKWP instead');\n        const out = concatBytes(AESKW_IV, plaintext);\n        AESW.encrypt(kek, out);\n        return out;\n    },\n    decrypt(ciphertext) {\n        // ciphertext must be at least 24 bytes and a multiple of 8 bytes\n        // 24 because should have at least two block (1 iv + 2).\n        // Replace with 16 to enable '8-byte keys'\n        if (ciphertext.length % 8 !== 0 || ciphertext.length < 3 * 8)\n            throw new Error('invalid ciphertext length');\n        const out = copyBytes(ciphertext);\n        AESW.decrypt(kek, out);\n        if (!equalBytes(out.subarray(0, 8), AESKW_IV))\n            throw new Error('integrity check failed');\n        out.subarray(0, 8).fill(0); // ciphertext.subarray(0, 8) === IV, but we clean it anyway\n        return out.subarray(8);\n    },\n}));\n/*\nWe don't support 8-byte keys. The rabbit hole:\n\n- Wycheproof says: \"NIST SP 800-38F does not define the wrapping of 8 byte keys.\n  RFC 3394 Section 2  on the other hand specifies that 8 byte keys are wrapped\n  by directly encrypting one block with AES.\"\n    - https://github.com/C2SP/wycheproof/blob/master/doc/key_wrap.md\n    - \"RFC 3394 specifies in Section 2, that the input for the key wrap\n      algorithm must be at least two blocks and otherwise the constant\n      field and key are simply encrypted with ECB as a single block\"\n- What RFC 3394 actually says (in Section 2):\n    - \"Before being wrapped, the key data is parsed into n blocks of 64 bits.\n      The only restriction the key wrap algorithm places on n is that n be\n      at least two\"\n    - \"For key data with length less than or equal to 64 bits, the constant\n      field used in this specification and the key data form a single\n      128-bit codebook input making this key wrap unnecessary.\"\n- Which means \"assert(n >= 2)\" and \"use something else for 8 byte keys\"\n- NIST SP800-38F actually prohibits 8-byte in \"5.3.1 Mandatory Limits\".\n  It states that plaintext for KW should be \"2 to 2^54 -1 semiblocks\".\n- So, where does \"directly encrypt single block with AES\" come from?\n    - Not RFC 3394. Pseudocode of key wrap in 2.2 explicitly uses\n      loop of 6 for any code path\n    - There is a weird W3C spec:\n      https://www.w3.org/TR/2002/REC-xmlenc-core-20021210/Overview.html#kw-aes128\n    - This spec is outdated, as admitted by Wycheproof authors\n    - There is RFC 5649 for padded key wrap, which is padding construction on\n      top of AESKW. In '4.1.2' it says: \"If the padded plaintext contains exactly\n      eight octets, then prepend the AIV as defined in Section 3 above to P[1] and\n      encrypt the resulting 128-bit block using AES in ECB mode [Modes] with key\n      K (the KEK).  In this case, the output is two 64-bit blocks C[0] and C[1]:\"\n    - Browser subtle crypto is actually crashes on wrapping keys less than 16 bytes:\n      `Error: error:1C8000E6:Provider routines::invalid input length] { opensslErrorStack: [ 'error:030000BD:digital envelope routines::update error' ]`\n\nIn the end, seems like a bug in Wycheproof.\nThe 8-byte check can be easily disabled inside of AES_W.\n*/\nconst AESKWP_IV = 0xa65959a6; // single u32le value\n/**\n * AES-KW, but with padding and allows random keys.\n * Second u32 of IV is used as counter for length.\n * [RFC 5649](https://www.rfc-editor.org/rfc/rfc5649)\n */\nexport const aeskwp = /* @__PURE__ */ wrapCipher({ blockSize: 8 }, (kek) => ({\n    encrypt(plaintext) {\n        if (!plaintext.length)\n            throw new Error('invalid plaintext length');\n        const padded = Math.ceil(plaintext.length / 8) * 8;\n        const out = new Uint8Array(8 + padded);\n        out.set(plaintext, 8);\n        const out32 = u32(out);\n        out32[0] = AESKWP_IV;\n        out32[1] = byteSwap(plaintext.length);\n        AESW.encrypt(kek, out);\n        return out;\n    },\n    decrypt(ciphertext) {\n        // 16 because should have at least one block\n        if (ciphertext.length < 16)\n            throw new Error('invalid ciphertext length');\n        const out = copyBytes(ciphertext);\n        const o32 = u32(out);\n        AESW.decrypt(kek, out);\n        const len = byteSwap(o32[1]) >>> 0;\n        const padded = Math.ceil(len / 8) * 8;\n        if (o32[0] !== AESKWP_IV || out.length - 8 !== padded)\n            throw new Error('integrity check failed');\n        for (let i = len; i < padded; i++)\n            if (out[8 + i] !== 0)\n                throw new Error('integrity check failed');\n        out.subarray(0, 8).fill(0); // ciphertext.subarray(0, 8) === IV, but we clean it anyway\n        return out.subarray(8, 8 + len);\n    },\n}));\nclass _AesCtrDRBG {\n    blockLen;\n    key;\n    nonce;\n    state;\n    reseedCnt;\n    constructor(keyLen, seed, personalization) {\n        this.blockLen = ctr.blockSize;\n        const keyLenBytes = keyLen / 8;\n        const nonceLen = 16;\n        this.state = new Uint8Array(keyLenBytes + nonceLen);\n        this.key = this.state.subarray(0, keyLenBytes);\n        this.nonce = this.state.subarray(keyLenBytes, keyLenBytes + nonceLen);\n        this.reseedCnt = 1;\n        incBytes(this.nonce, false, 1);\n        this.addEntropy(seed, personalization);\n    }\n    update(data) {\n        // cannot re-use state here, because we will wipe current key\n        ctr(this.key, this.nonce).encrypt(new Uint8Array(this.state.length), this.state);\n        if (data) {\n            abytes(data);\n            for (let i = 0; i < data.length; i++)\n                this.state[i] ^= data[i];\n        }\n        incBytes(this.nonce, false, 1);\n    }\n    addEntropy(seed, info) {\n        abytes(seed, this.state.length, 'seed');\n        const _seed = seed.slice();\n        if (info) {\n            abytes(info);\n            if (info.length > _seed.length)\n                throw new Error('info length is too big');\n            for (let i = 0; i < info.length; i++)\n                _seed[i] ^= info[i];\n        }\n        this.update(_seed);\n        _seed.fill(0);\n        this.reseedCnt = 1;\n    }\n    randomBytes(len, info) {\n        anumber(len);\n        if (this.reseedCnt++ >= 2 ** 48)\n            throw new Error('entropy exhausted');\n        if (info)\n            this.update(info);\n        const res = new Uint8Array(len);\n        ctr(this.key, this.nonce).encrypt(res, res);\n        incBytes(this.nonce, false, Math.ceil(len / this.blockLen));\n        this.update(info);\n        return res;\n    }\n    clean() {\n        this.state.fill(0);\n        this.reseedCnt = 0;\n    }\n}\nconst createAesDrbg = (keyLen) => {\n    return (seed, personalization = undefined) => new _AesCtrDRBG(keyLen, seed, personalization);\n};\n/**\n * AES-CTR DRBG 128-bit - CSPRNG (cryptographically secure pseudorandom number generator).\n * It's best to limit usage to non-production, non-critical cases: for example, test-only.\n */\nexport const rngAesCtrDrbg128 = /* @__PURE__ */ createAesDrbg(128);\n/**\n * AES-CTR DRBG 256-bit - CSPRNG (cryptographically secure pseudorandom number generator).\n * It's best to limit usage to non-production, non-critical cases: for example, test-only.\n */\nexport const rngAesCtrDrbg256 = /* @__PURE__ */ createAesDrbg(256);\n/** Unsafe low-level internal methods. May change at any time. */\nexport const unsafe = {\n    expandKeyLE,\n    expandKeyDecLE,\n    encrypt,\n    decrypt,\n    encryptBlock,\n    decryptBlock,\n    ctrCounter,\n    ctr32,\n};\n//# 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