@iden3/js-crypto/dist/node/cjs/index.cjs.map

Crypto primitives for iden3

{
  "version": 3,
  "sources": ["../../../src/index.ts", "../../../src/ff/utils.ts", "../../../src/ff/scalar.ts", "../../../src/ff/random.ts", "../../../src/ff/f1field.ts", "../../../src/babyjub/babyjub.ts", "../../../src/poseidon/poseidon-constants-opt.json", "../../../src/poseidon/poseidon-opt.ts", "../../../src/babyjub/eddsa.ts", "../../../src/hex.ts", "../../../src/babyjub/eddsa-keys.ts", "../../../src/base58.ts", "../../../src/sha256.ts"],
  "sourcesContent": ["export { Eddsa, eddsa, BabyJub, babyJub, Signature, PublicKey, PrivateKey } from './babyjub';\nexport { poseidon, Poseidon, OPT } from './poseidon';\nexport { Hex } from './hex';\nexport { base58FromBytes, base58ToBytes } from './base58';\nexport { sha256, Hash } from './sha256';\nexport { utils as ffUtils, getRandomBytes } from './ff';\n", "import * as Scalar from './scalar';\n\nexport function unStringifyBigInts(o: unknown): unknown {\n  if (Array.isArray(o)) {\n    return o.map(unStringifyBigInts);\n  } else if (typeof o == 'object') {\n    const res: { [k: string]: unknown } = {};\n    for (const [key, val] of Object.entries(o as unknown as { [k: string]: unknown })) {\n      res[key] = unStringifyBigInts(val);\n    }\n    return res;\n  }\n  // base64 decode\n  const byteArray = Uint8Array.from(atob(o as string), (c) => c.charCodeAt(0));\n  const hex = [...byteArray].map((x) => x.toString(16).padStart(2, '0')).join('');\n  return BigInt(`0x${hex}`);\n}\n\nexport function beBuff2int(buff: Uint8Array) {\n  let res = BigInt(0);\n  let i = buff.length;\n  let offset = 0;\n  const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength);\n  while (i > 0) {\n    if (i >= 4) {\n      i -= 4;\n      res += BigInt(buffV.getUint32(i)) << BigInt(offset * 8);\n      offset += 4;\n    } else if (i >= 2) {\n      i -= 2;\n      res += BigInt(buffV.getUint16(i)) << BigInt(offset * 8);\n      offset += 2;\n    } else {\n      i -= 1;\n      res += BigInt(buffV.getUint8(i)) << BigInt(offset * 8);\n      offset += 1;\n    }\n  }\n  return res;\n}\n\nexport function beInt2Buff(n: bigint, len: number) {\n  let r = n;\n  const buff = new Uint8Array(len);\n  const buffV = new DataView(buff.buffer);\n  let o = len;\n  while (o > 0) {\n    if (o - 4 >= 0) {\n      o -= 4;\n      buffV.setUint32(o, Number(r & BigInt(0xffffffff)));\n      r = r >> BigInt(32);\n    } else if (o - 2 >= 0) {\n      o -= 2;\n      buffV.setUint16(o, Number(r & BigInt(0xffff)));\n      r = r >> BigInt(16);\n    } else {\n      o -= 1;\n      buffV.setUint8(o, Number(r & BigInt(0xff)));\n      r = r >> BigInt(8);\n    }\n  }\n  if (r) {\n    throw new Error('Number does not fit in this length');\n  }\n  return buff;\n}\n\nexport function leBuff2int(buff: Uint8Array) {\n  let res = BigInt(0);\n  let i = 0;\n  const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength);\n  while (i < buff.length) {\n    if (i + 4 <= buff.length) {\n      res += BigInt(buffV.getUint32(i, true)) << BigInt(i * 8);\n      i += 4;\n    } else if (i + 2 <= buff.length) {\n      res += BigInt(buffV.getUint16(i, true)) << BigInt(i * 8);\n      i += 2;\n    } else {\n      res += BigInt(buffV.getUint8(i)) << BigInt(i * 8);\n      i += 1;\n    }\n  }\n  return res;\n}\n\nexport function leInt2Buff(n: bigint, len: number) {\n  let r = n;\n  if (typeof len === 'undefined') {\n    len = Math.floor((Scalar.bitLength(n) - 1) / 8) + 1;\n    if (len == 0) len = 1;\n  }\n  const buff = new Uint8Array(len);\n  const buffV = new DataView(buff.buffer);\n  let o = 0;\n  while (o < len) {\n    if (o + 4 <= len) {\n      buffV.setUint32(o, Number(r & BigInt(0xffffffff)), true);\n      o += 4;\n      r = r >> BigInt(32);\n    } else if (o + 2 <= len) {\n      buffV.setUint16(o, Number(r & BigInt(0xffff)), true);\n      o += 2;\n      r = r >> BigInt(16);\n    } else {\n      buffV.setUint8(o, Number(r & BigInt(0xff)));\n      o += 1;\n      r = r >> BigInt(8);\n    }\n  }\n  if (r) {\n    throw new Error('Number does not fit in this length');\n  }\n  return buff;\n}\n", "const hexLen = [0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4];\n\nexport const fromString = (s: string, radix?: number): bigint => {\n  if (!radix || radix === 10) {\n    return BigInt(s);\n  } else if (radix === 16) {\n    if (s.slice(0, 2) == '0x') {\n      return BigInt(s);\n    } else {\n      return BigInt('0x' + s);\n    }\n  }\n\n  throw new Error('Unsupported radix');\n};\n\nexport const e = fromString;\n\nexport const fromArray = (a: Uint8Array, r: number) => {\n  let acc = BigInt(0);\n  const radix = BigInt(r);\n  for (let i = 0; i < a.length; i++) {\n    acc = acc * radix + BigInt(a[i]);\n  }\n  return acc;\n};\n\nexport const bitLength = (a: bigint): number => {\n  const aS = a.toString(16);\n  return (aS.length - 1) * 4 + hexLen[parseInt(aS[0], 16)];\n};\n\nexport const isNegative = (a: bigint): boolean => {\n  return BigInt(a) < BigInt(0);\n};\n\nexport const isZero = (a: bigint) => {\n  return a === zero;\n};\n\nexport const shiftLeft = (a: bigint, n: bigint): bigint => {\n  return a << n;\n};\n\nexport const shiftRight = (a: bigint, n: bigint): bigint => {\n  return a >> n;\n};\n\nexport const shl = shiftLeft;\nexport const shr = shiftRight;\n\nexport const isOdd = (a: bigint): boolean => {\n  return (a & one) == one;\n};\n\nexport const naf = (n: bigint): number[] => {\n  let E = n;\n  const res = [];\n  while (E) {\n    if (E & one) {\n      const z = 2 - Number(E % BigInt(4));\n      res.push(z);\n      E = E - BigInt(z);\n    } else {\n      res.push(0);\n    }\n    E = E >> one;\n  }\n  return res;\n};\n\nexport const bits = (n: bigint): number[] => {\n  let E = n;\n  const res = [];\n  while (E) {\n    if (E & one) {\n      res.push(1);\n    } else {\n      res.push(0);\n    }\n    E = E >> one;\n  }\n  return res;\n};\n\nexport const toNumber = (s: bigint): number => {\n  if (s > BigInt(Number.MAX_SAFE_INTEGER)) {\n    throw new Error('Number too big');\n  }\n  return Number(s);\n};\n\nexport const toArray = (s: bigint, r: bigint): number[] => {\n  const res = [];\n  let rem = s;\n  const radix = r;\n  while (rem) {\n    res.unshift(Number(rem % radix));\n    rem = rem / radix;\n  }\n  return res;\n};\n\nexport const add = (a: bigint, b: bigint): bigint => {\n  return a + b;\n};\n\nexport const sub = (a: bigint, b: bigint): bigint => {\n  return a - b;\n};\n\nexport const neg = (a: bigint): bigint => {\n  return -a;\n};\n\nexport const mul = (a: bigint, b: bigint): bigint => {\n  return a * b;\n};\n\nexport const square = (a: bigint): bigint => {\n  return a * a;\n};\n\nexport const pow = (a: bigint, b: bigint): bigint => {\n  return a ** b;\n};\n\nexport const exp = (a: bigint, b: bigint): bigint => {\n  return a ** b;\n};\n\nexport const abs = (a: bigint): bigint => {\n  return a >= 0 ? a : -a;\n};\n\nexport const div = (a: bigint, b: bigint): bigint => {\n  return a / b;\n};\n\nexport const mod = (a: bigint, b: bigint): bigint => {\n  return a % b;\n};\n\nexport const eq = (a: bigint, b: bigint): boolean => {\n  return a === b;\n};\n\nexport const neq = (a: bigint, b: bigint): boolean => {\n  return a !== b;\n};\n\nexport const lt = (a: bigint, b: bigint): boolean => {\n  return a < b;\n};\n\nexport const gt = (a: bigint, b: bigint): boolean => {\n  return a > b;\n};\n\nexport const leq = (a: bigint, b: bigint): boolean => {\n  return a <= b;\n};\n\nexport const geq = (a: bigint, b: bigint): boolean => {\n  return a >= b;\n};\n\nexport const band = (a: bigint, b: bigint): bigint => {\n  return a & b;\n};\n\nexport const bor = (a: bigint, b: bigint): bigint => {\n  return a | b;\n};\n\nexport const bXor = (a: bigint, b: bigint): bigint => {\n  return a ^ b;\n};\n\nexport const land = (a: bigint, b: bigint): bigint => {\n  return a && b;\n};\n\nexport const lor = (a: bigint, b: bigint): bigint => {\n  return a || b;\n};\n\n// Returns a buffer with Little Endian Representation\nexport const toRprLE = (buff: Uint8Array, o: number, e: bigint, n8: number): void => {\n  const s = '0000000' + e.toString(16);\n  const v = new Uint32Array(buff.buffer, buff.byteOffset + o, n8 / 4);\n  const l = (((s.length - 7) * 4 - 1) >> 5) + 1; // Number of 32bit words;\n  for (let i = 0; i < l; i++)\n    v[i] = parseInt(s.substring(s.length - 8 * i - 8, s.length - 8 * i), 16);\n  for (let i = l; i < v.length; i++) v[i] = 0;\n  for (let i = v.length * 4; i < n8; i++)\n    buff[i] = toNumber(band(shiftRight(e, BigInt(i * 8)), BigInt(0xff)));\n};\n\n// Returns a buffer with Big Endian Representation\nexport const toRprBE = (buff: Uint8Array, o: number, e: bigint, n8: number): void => {\n  const s = '0000000' + e.toString(16);\n  const v = new DataView(buff.buffer, buff.byteOffset + o, n8);\n  const l = (((s.length - 7) * 4 - 1) >> 5) + 1; // Number of 32bit words;\n  for (let i = 0; i < l; i++)\n    v.setUint32(\n      n8 - i * 4 - 4,\n      parseInt(s.substring(s.length - 8 * i - 8, s.length - 8 * i), 16),\n      false\n    );\n\n  // todo: check this\n  for (let i = 0; i < n8 / 4 - l; i++) v.setInt32(0, 0, false);\n};\n\n// Passes a buffer with Little Endian Representation\nexport const fromRprLE = (buff: Uint8Array, o: number, n8?: number): bigint => {\n  n8 = n8 || buff.byteLength;\n  o = o || 0;\n  const v = new Uint32Array(buff.buffer, buff.byteOffset + o, n8 / 4);\n  const a = new Array(n8 / 4);\n  v.forEach((ch, i) => (a[a.length - i - 1] = ch.toString(16).padStart(8, '0')));\n  return fromString(a.join(''), 16);\n};\n\n// Passes a buffer with Big Endian Representation\nexport const fromRprBE = (buff: Uint8Array, o: number, n8: number): bigint => {\n  n8 = n8 || buff.byteLength;\n  o = o || 0;\n  const v = new DataView(buff.buffer, buff.byteOffset + o, n8);\n  const a = new Array(n8 / 4);\n  for (let i = 0; i < n8 / 4; i++) {\n    a[i] = v\n      .getUint32(i * 4, false)\n      .toString(16)\n      .padStart(8, '0');\n  }\n  return fromString(a.join(''), 16);\n};\n\nexport const toString = (a: bigint, radix = 10): string => {\n  return a.toString(radix);\n};\n\nexport const toLEBuff = (a: bigint): Uint8Array => {\n  const buff = new Uint8Array(Math.floor((bitLength(a) - 1) / 8) + 1);\n  toRprLE(buff, 0, a, buff.byteLength);\n  return buff;\n};\n\nexport const zero = BigInt(0);\nexport const one = BigInt(1);\n", "/**\n * Type definition for the browser crypto object.\n */\ntype BrowserCrypto = { crypto?: { getRandomValues?: (arg0: Uint8Array) => void } };\n\nexport function getRandomBytes(length: number): Uint8Array {\n  if (length <= 0) {\n    throw new Error('Length must be greater than 0');\n  }\n  const global = globalThis as BrowserCrypto;\n  if (global.crypto?.getRandomValues) {\n    const randomValues = new Uint8Array(length);\n    global.crypto.getRandomValues(randomValues);\n    return randomValues;\n  }\n  // eslint-disable-next-line no-unused-labels\n  NODE: {\n    // eslint-disable-next-line @typescript-eslint/no-require-imports\n    const crypto = require('crypto');\n    return crypto.randomBytes(length);\n  }\n\n  throw new Error('Random byte generation is not supported in this environment');\n}\n", "import * as Scalar from './scalar';\nimport { getRandomBytes } from './random';\n\nexport class F1Field {\n  type: string;\n  one: bigint;\n  zero: bigint;\n  p: bigint;\n  m: bigint;\n  negOne: bigint;\n  two: bigint;\n  half: bigint;\n  bitLength: number;\n  mask: bigint;\n  n64: number;\n  n32: number;\n  n8: number;\n  R: bigint;\n  s: number;\n  shift: bigint;\n  Ri: bigint;\n  nqr: bigint;\n  t: bigint;\n  nqr_to_t: bigint;\n  k: bigint;\n\n  constructor(p: bigint) {\n    this.type = 'F1';\n    this.one = BigInt(1);\n    this.zero = BigInt(0);\n    this.p = BigInt(p);\n    this.m = Scalar.one;\n    this.negOne = this.p - this.one;\n    this.two = BigInt(2);\n    this.half = this.p >> this.one;\n    this.bitLength = Scalar.bitLength(this.p);\n    this.mask = (this.one << BigInt(this.bitLength)) - this.one;\n\n    this.n64 = Math.floor((this.bitLength - 1) / 64) + 1;\n    this.n32 = this.n64 * 2;\n    this.n8 = this.n64 * 8;\n    this.R = this.e(this.one << BigInt(this.n64 * 64));\n    this.Ri = this.inv(this.R);\n\n    const e = this.negOne >> this.one;\n    this.nqr = this.two;\n    let r = this.pow(this.nqr, e);\n    while (!this.eq(r, this.negOne)) {\n      this.nqr = this.nqr + this.one;\n      r = this.pow(this.nqr, e);\n    }\n\n    this.s = 0;\n    this.t = this.negOne;\n\n    while ((this.t & this.one) == this.zero) {\n      this.s = this.s + 1;\n      this.t = this.t >> this.one;\n    }\n\n    this.nqr_to_t = this.pow(this.nqr, this.t);\n\n    // eslint-disable-next-line @cspell/spellchecker\n    tonelliShanks(this);\n\n    this.shift = this.square(this.nqr);\n    this.k = this.exp(this.nqr, BigInt(2 ** this.s));\n  }\n\n  e(a: string | bigint, b: bigint | undefined = undefined): bigint {\n    let res!: bigint;\n    if (!b) {\n      res = BigInt(a);\n    } else if (b == BigInt(16)) {\n      res = BigInt('0x' + a);\n    }\n    if (res < 0) {\n      let nRes = -res;\n      if (nRes >= this.p) nRes = nRes % this.p;\n      return this.p - nRes;\n    } else {\n      return res >= this.p ? res % this.p : res;\n    }\n  }\n\n  add(a: bigint, b: bigint): bigint {\n    const res = a + b;\n    return res >= this.p ? res - this.p : res;\n  }\n\n  sub(a: bigint, b: bigint): bigint {\n    return a >= b ? a - b : this.p - b + a;\n  }\n\n  neg(a: bigint): bigint {\n    return a ? this.p - a : a;\n  }\n\n  double(a: bigint): bigint {\n    return this.add(a, a);\n  }\n\n  mul(a: bigint, b: bigint): bigint {\n    return (a * b) % this.p;\n  }\n\n  mulScalar(base: bigint, s: bigint) {\n    return (base * this.e(s)) % this.p;\n  }\n\n  square(a: bigint): bigint {\n    return (a * a) % this.p;\n  }\n\n  eq(a: bigint, b: bigint): boolean {\n    return a == b;\n  }\n\n  neq(a: bigint, b: bigint): boolean {\n    return a != b;\n  }\n\n  lt(a: bigint, b: bigint): boolean {\n    const aa = a > this.half ? a - this.p : a;\n    const bb = b > this.half ? b - this.p : b;\n    return aa < bb;\n  }\n\n  gt(a: bigint, b: bigint): boolean {\n    const aa = a > this.half ? a - this.p : a;\n    const bb = b > this.half ? b - this.p : b;\n    return aa > bb;\n  }\n\n  leq(a: bigint, b: bigint): boolean {\n    const aa = a > this.half ? a - this.p : a;\n    const bb = b > this.half ? b - this.p : b;\n    return aa <= bb;\n  }\n\n  geq(a: bigint, b: bigint): boolean {\n    const aa = a > this.half ? a - this.p : a;\n    const bb = b > this.half ? b - this.p : b;\n    return aa >= bb;\n  }\n\n  div(a: bigint, b: bigint): bigint {\n    return this.mul(a, this.inv(b));\n  }\n\n  iDiv(a: bigint, b: bigint): bigint {\n    if (!b) throw new Error('Division by zero');\n    return a / b;\n  }\n\n  inv(a: bigint) {\n    if (!a) throw new Error('Division by zero');\n\n    let t = this.zero;\n    let r = this.p;\n    let newt = this.one;\n    let newR = a % this.p;\n    while (newR) {\n      const q = r / newR;\n      [t, newt] = [newt, t - q * newt];\n      [r, newR] = [newR, r - q * newR];\n    }\n    if (t < this.zero) t += this.p;\n    return t;\n  }\n\n  mod(a: bigint, b: bigint): bigint {\n    return a % b;\n  }\n\n  pow(b: bigint, e: bigint): bigint {\n    return exp(this, b, e);\n  }\n\n  exp(b: bigint, e: bigint): bigint {\n    return exp(this, b, BigInt(e));\n  }\n\n  band(a: bigint, b: bigint): bigint {\n    const res = a & b & this.mask;\n    return res >= this.p ? res - this.p : res;\n  }\n\n  bor(a: bigint, b: bigint): bigint {\n    const res = (a | b) & this.mask;\n    return res >= this.p ? res - this.p : res;\n  }\n\n  bXor(a: bigint, b: bigint): bigint {\n    const res = (a ^ b) & this.mask;\n    return res >= this.p ? res - this.p : res;\n  }\n\n  bNot(a: bigint): bigint {\n    const res = a ^ this.mask;\n    return res >= this.p ? res - this.p : res;\n  }\n\n  shl(a: bigint, b: bigint): bigint {\n    if (Number(b) < this.bitLength) {\n      const res = (a << b) & this.mask;\n      return res >= this.p ? res - this.p : res;\n    } else {\n      const nb = this.p - b;\n      if (Number(nb) < this.bitLength) {\n        return a >> nb;\n      } else {\n        return this.zero;\n      }\n    }\n  }\n\n  shr(a: bigint, b: bigint): bigint {\n    if (Number(b) < this.bitLength) {\n      return a >> b;\n    } else {\n      const nb = this.p - b;\n      if (Number(nb) < this.bitLength) {\n        const res = (a << nb) & this.mask;\n        return res >= this.p ? res - this.p : res;\n      } else {\n        return Scalar.zero;\n      }\n    }\n  }\n\n  land(a: bigint, b: bigint): bigint {\n    return a && b ? this.one : this.zero;\n  }\n\n  lor(a: bigint, b: bigint): bigint {\n    return a || b ? this.one : this.zero;\n  }\n\n  sqrt_old(n: bigint): bigint | null {\n    if (n == this.zero) return this.zero;\n\n    // Test that have solution\n    const res = this.pow(n, this.negOne >> this.one);\n    if (res != this.one) return null;\n\n    let m = this.s;\n    let c = this.nqr_to_t;\n    let t = this.pow(n, this.t);\n    let r = this.pow(n, this.add(this.t, this.one) >> this.one);\n\n    while (t != this.one) {\n      let sq = this.square(t);\n      let i = 1;\n      while (sq != this.one) {\n        i++;\n        sq = this.square(sq);\n      }\n\n      // b = c ^ m-i-1\n      let b = c;\n      for (let j = 0; j < m - i - 1; j++) b = this.square(b);\n\n      m = i;\n      c = this.square(b);\n      t = this.mul(t, c);\n      r = this.mul(r, b);\n    }\n\n    if (r > this.p >> this.one) {\n      r = this.neg(r);\n    }\n\n    return r;\n  }\n\n  normalize(a: bigint): bigint {\n    if (a < 0) {\n      let na = -a;\n      if (na >= this.p) na = na % this.p;\n      return this.p - na;\n    } else {\n      return a >= this.p ? a % this.p : a;\n    }\n  }\n\n  random(): bigint {\n    const nBytes = (this.bitLength * 2) / 8;\n    let res = this.zero;\n    for (let i = 0; i < nBytes; i++) {\n      res = (res << BigInt(8)) + BigInt(getRandomBytes(1)[0]);\n    }\n    return res % this.p;\n  }\n\n  toString(a: bigint, base = 10) {\n    base = base || 10;\n    let vs;\n    if (a > this.half && base == 10) {\n      const v = this.p - a;\n      vs = '-' + v.toString(base);\n    } else {\n      vs = a.toString(base);\n    }\n    return vs;\n  }\n\n  isZero(a: bigint) {\n    return a == this.zero;\n  }\n\n  // Returns a buffer with Little Endian Representation\n  toRprLE(buff: Uint8Array, o: number, e: bigint) {\n    Scalar.toRprLE(buff, o, e, this.n64 * 8);\n  }\n\n  // Returns a buffer with Big Endian Representation\n  toRprBE(buff: Uint8Array, o: number, e: bigint) {\n    Scalar.toRprBE(buff, o, e, this.n64 * 8);\n  }\n\n  // Returns a buffer with Big Endian Montgomery Representation\n  toRprBEM(buff: Uint8Array, o: number, e: bigint) {\n    return this.toRprBE(buff, o, this.mul(this.R, e));\n  }\n\n  toRprLEM(buff: Uint8Array, o: number, e: bigint) {\n    return this.toRprLE(buff, o, this.mul(this.R, e));\n  }\n\n  // Passes a buffer with Little Endian Representation\n  fromRprLE(buff: Uint8Array, o: number) {\n    return Scalar.fromRprLE(buff, o, this.n8);\n  }\n\n  // Passes a buffer with Big Endian Representation\n  fromRprBE(buff: Uint8Array, o: number) {\n    return Scalar.fromRprBE(buff, o, this.n8);\n  }\n\n  fromRprLEM(buff: Uint8Array, o: number) {\n    return this.mul(this.fromRprLE(buff, o), this.Ri);\n  }\n\n  fromRprBEM(buff: Uint8Array, o: number) {\n    return this.mul(this.fromRprBE(buff, o), this.Ri);\n  }\n\n  toObject(a: bigint): bigint {\n    return a;\n  }\n\n  sqrt(a: bigint): bigint | null {\n    throw new Error('Not implemented sqrt for F1' + a);\n  }\n\n  sqrt_e1!: bigint;\n  sqrt_q!: bigint;\n  sqrt_s!: bigint;\n  sqrt_t!: bigint;\n  sqrt_z!: bigint;\n  sqrt_tm1d2!: bigint;\n}\n\n// eslint-disable-next-line @cspell/spellchecker\nfunction tonelliShanks(F: F1Field) {\n  F.sqrt_q = Scalar.pow(F.p, F.m);\n\n  F.sqrt_s = Scalar.zero;\n  F.sqrt_t = Scalar.sub(F.sqrt_q, Scalar.one);\n\n  while (!Scalar.isOdd(F.sqrt_t)) {\n    F.sqrt_s = F.sqrt_s + Scalar.one;\n    F.sqrt_t = Scalar.div(F.sqrt_t, 2n);\n  }\n\n  let c0 = F.one;\n\n  while (F.eq(c0, F.one)) {\n    const c = F.random();\n    F.sqrt_z = F.pow(c, F.sqrt_t);\n    c0 = F.pow(F.sqrt_z, 2n ** (F.sqrt_s - Scalar.one));\n  }\n\n  F.sqrt_tm1d2 = Scalar.div(Scalar.sub(F.sqrt_t, Scalar.one), 2n);\n\n  F.sqrt = (a: bigint): bigint | null => {\n    if (F.isZero(a)) return F.zero;\n    let w = F.pow(a, F.sqrt_tm1d2);\n    const a0 = F.pow(F.mul(F.square(w), a), 2n ** (F.sqrt_s - Scalar.one));\n    if (F.eq(a0, F.negOne)) return null;\n\n    let v = F.sqrt_s;\n    let x = F.mul(a, w);\n    let b = F.mul(x, w);\n    let z = F.sqrt_z;\n    while (!F.eq(b, F.one)) {\n      let b2k = F.square(b);\n      let k = Scalar.one;\n      while (!F.eq(b2k, F.one)) {\n        b2k = F.square(b2k);\n        k++;\n      }\n\n      w = z;\n      for (let i = 0; i < v - k - Scalar.one; i++) {\n        w = F.square(w);\n      }\n      z = F.square(w);\n      b = F.mul(b, z);\n      x = F.mul(x, w);\n      v = k;\n    }\n    return F.geq(x, F.zero) ? x : F.neg(x);\n  };\n}\n\nexport function mulScalar(F: F1Field, base: bigint, e: bigint): bigint {\n  let res;\n\n  if (Scalar.isZero(e)) return F.zero;\n\n  const n = Scalar.naf(e);\n\n  if (n[n.length - 1] == 1) {\n    res = base;\n  } else if (n[n.length - 1] == -1) {\n    res = F.neg(base);\n  } else {\n    throw new Error('invalid NAF');\n  }\n\n  for (let i = n.length - 2; i >= 0; i--) {\n    res = F.double(res);\n\n    if (n[i] == 1) {\n      res = F.add(res, base);\n    } else if (n[i] == -1) {\n      res = F.sub(res, base);\n    }\n  }\n\n  return res;\n}\n\nexport function exp(F: F1Field, base: bigint, e: bigint) {\n  if (Scalar.isZero(e)) return F.one;\n\n  const n = Scalar.bits(e);\n\n  if (n.length == 0) return F.one;\n\n  let res = base;\n\n  for (let i = n.length - 2; i >= 0; i--) {\n    res = F.square(res);\n\n    if (n[i]) {\n      res = F.mul(res, base);\n    }\n  }\n\n  return res;\n}\n", "import { Scalar, F1Field } from '../ff';\n\n// circomlibjs BabyJub\nexport class BabyJub {\n  F;\n  p: bigint;\n  pm1d2: bigint;\n  Generator: bigint[];\n  Base8: bigint[];\n  order: bigint;\n  subOrder: bigint;\n  A: bigint;\n  D: bigint;\n\n  constructor(F: F1Field) {\n    this.F = F;\n    this.p = BigInt(\n      '21888242871839275222246405745257275088548364400416034343698204186575808495617'\n    );\n    this.pm1d2 = Scalar.div(Scalar.sub(this.p, Scalar.one), 2n);\n\n    this.Generator = [\n      F.e('995203441582195749578291179787384436505546430278305826713579947235728471134'),\n      F.e('5472060717959818805561601436314318772137091100104008585924551046643952123905')\n    ];\n    this.Base8 = [\n      F.e('5299619240641551281634865583518297030282874472190772894086521144482721001553'),\n      F.e('16950150798460657717958625567821834550301663161624707787222815936182638968203')\n    ];\n    this.order = BigInt(\n      '21888242871839275222246405745257275088614511777268538073601725287587578984328'\n    );\n    this.subOrder = Scalar.shiftRight(this.order, 3n);\n    this.A = F.e('168700');\n    this.D = F.e('168696');\n  }\n\n  addPoint(a: bigint[], b: bigint[]): [bigint, bigint] {\n    const F = this.F;\n\n    const res = new Array(2);\n\n    /* does the equivalent of:\n    res[0] = bigInt((a[0]*b[1] + b[0]*a[1]) *  bigInt(bigInt(\"1\") + d*a[0]*b[0]*a[1]*b[1]).inverse(q)).affine(q);\n    res[1] = bigInt((a[1]*b[1] - cta*a[0]*b[0]) * bigInt(bigInt(\"1\") - d*a[0]*b[0]*a[1]*b[1]).inverse(q)).affine(q);\n    */\n\n    const beta = F.mul(a[0], b[1]);\n    const gamma = F.mul(a[1], b[0]);\n    const delta = F.mul(F.sub(a[1], F.mul(this.A, a[0])), F.add(b[0], b[1]));\n    const tau = F.mul(beta, gamma);\n    const dTau = F.mul(this.D, tau);\n\n    res[0] = F.div(F.add(beta, gamma), F.add(F.one, dTau));\n\n    res[1] = F.div(F.add(delta, F.sub(F.mul(this.A, beta), gamma)), F.sub(F.one, dTau));\n\n    return res as [bigint, bigint];\n  }\n\n  mulPointEScalar(base: bigint[], e: bigint): [bigint, bigint] {\n    const F = this.F;\n    let res: [bigint, bigint] = [F.e('0'), F.e('1')];\n    let rem = e;\n    let exp = base;\n\n    while (!Scalar.isZero(rem)) {\n      if (Scalar.isOdd(rem)) {\n        res = this.addPoint(res, exp);\n      }\n      exp = this.addPoint(exp, exp);\n      rem = Scalar.shiftRight(rem, Scalar.one);\n    }\n\n    return res;\n  }\n\n  inSubgroup(P: bigint[]): boolean {\n    const F = this.F;\n    if (!this.inCurve(P)) return false;\n    const res = this.mulPointEScalar(P, this.subOrder);\n    return F.isZero(res[0]) && F.eq(res[1], F.one);\n  }\n\n  inCurve(P: bigint[]): boolean {\n    const F = this.F;\n    const x2 = F.square(P[0]);\n    const y2 = F.square(P[1]);\n\n    if (!F.eq(F.add(F.mul(this.A, x2), y2), F.add(F.one, F.mul(F.mul(x2, y2), this.D))))\n      return false;\n\n    return true;\n  }\n\n  packPoint(P: bigint[]): Uint8Array {\n    const F = this.F;\n    const buff = new Uint8Array(32);\n    F.toRprLE(buff, 0, P[1]);\n    const n = F.toObject(P[0]);\n    if (Scalar.gt(n, this.pm1d2)) {\n      buff[31] = buff[31] | 0x80;\n    }\n    return buff;\n  }\n\n  unpackPoint(buff: Uint8Array): [bigint, bigint] | null {\n    const F = this.F;\n    let sign = false;\n    const P: [bigint, bigint] = [BigInt(0), BigInt(0)];\n    if (buff[31] & 0x80) {\n      sign = true;\n      buff[31] = buff[31] & 0x7f;\n    }\n    P[1] = F.fromRprLE(buff, 0);\n    if (Scalar.gt(F.toObject(P[1]), this.p)) return null;\n\n    const y2 = F.square(P[1]);\n\n    const x2 = F.div(F.sub(F.one, y2), F.sub(this.A, F.mul(this.D, y2)));\n\n    const x2h = F.exp(x2, BigInt(F.half));\n    if (!F.eq(F.one, x2h)) return null;\n\n    let x = F.sqrt(x2);\n\n    if (x == null) return null;\n\n    if (sign) x = F.neg(x);\n\n    P[0] = BigInt(x);\n\n    return P;\n  }\n}\nconst F = new F1Field(\n  BigInt('21888242871839275222246405745257275088548364400416034343698204186575808495617')\n);\n\nexport const babyJub = new BabyJub(F);\n", 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