{"version":3,"sources":["../../../../src/raydium/cpmm/curve/constantProduct.ts","../../../../src/raydium/cpmm/curve/calculator.ts","../../../../src/raydium/cpmm/curve/fee.ts","../../../../src/common/bignumber.ts","../../../../node_modules/decimal.js/decimal.mjs","../../../../src/module/amount.ts","../../../../src/common/logger.ts","../../../../src/common/accountInfo.ts","../../../../src/common/constant.ts","../../../../src/raydium/token/constant.ts","../../../../src/module/token.ts","../../../../src/common/pubKey.ts","../../../../src/module/currency.ts","../../../../src/module/formatter.ts","../../../../src/module/fraction.ts","../../../../src/module/percent.ts","../../../../src/module/price.ts","../../../../src/common/pda.ts","../../../../src/common/txTool/txUtils.ts","../../../../src/common/programId.ts","../../../../src/common/transfer.ts","../../../../src/common/txTool/lookupTable.ts","../../../../src/common/txTool/txTool.ts","../../../../src/common/utility.ts","../../../../src/common/fee.ts"],"sourcesContent":["import BN from \"bn.js\";\nimport { RoundDirection, TradingTokenResult } from \"./calculator\";\n\nfunction checkedRem(dividend: BN, divisor: BN): BN {\n  if (divisor.isZero()) throw Error(\"divisor is zero\");\n\n  const result = dividend.mod(divisor);\n  return result;\n}\n\nfunction checkedCeilDiv(dividend: BN, rhs: BN): BN[] {\n  if (rhs.isZero()) throw Error(\"rhs is zero\");\n\n  let quotient = dividend.div(rhs);\n\n  const remainder = checkedRem(dividend, rhs);\n\n  if (remainder.gt(ZERO)) {\n    quotient = quotient.add(new BN(1));\n  }\n  return [quotient, rhs];\n}\n\nconst ZERO = new BN(0);\n\nexport class ConstantProductCurve {\n  static swapBaseInputWithoutFees(inputAmount: BN, inputVaultAmount: BN, onputVaultAmount: BN): BN {\n    const numerator = inputAmount.mul(onputVaultAmount);\n    const denominator = inputVaultAmount.add(inputAmount);\n\n    const outputAmount = numerator.div(denominator);\n    return outputAmount;\n  }\n\n  static swapBaseOutputWithoutFees(outputAmount: BN, inputVaultAmount: BN, onputVaultAmount: BN): BN {\n    const numerator = inputVaultAmount.mul(outputAmount);\n    const denominator = onputVaultAmount.sub(outputAmount);\n    const [inputAmount] = checkedCeilDiv(numerator, denominator);\n\n    return inputAmount;\n  }\n\n  static lpTokensToTradingTokens(\n    lpTokenAmount: BN,\n    lpTokenSupply: BN,\n    swapTokenAmount0: BN,\n    swapTokenAmount1: BN,\n    roundDirection: RoundDirection,\n  ): TradingTokenResult {\n    let tokenAmount0 = lpTokenAmount.mul(swapTokenAmount0).div(lpTokenSupply);\n    let tokenAmount1 = lpTokenAmount.mul(swapTokenAmount1).div(lpTokenSupply);\n\n    if (roundDirection === RoundDirection.Floor) {\n      return { tokenAmount0, tokenAmount1 };\n    } else if (roundDirection === RoundDirection.Ceiling) {\n      const tokenRemainder0 = checkedRem(lpTokenAmount.mul(swapTokenAmount0), lpTokenSupply);\n\n      if (tokenRemainder0.gt(ZERO) && tokenAmount0.gt(ZERO)) {\n        tokenAmount0 = tokenAmount0.add(new BN(1));\n      }\n\n      const token1Remainder = checkedRem(lpTokenAmount.mul(swapTokenAmount1), lpTokenSupply);\n\n      if (token1Remainder.gt(ZERO) && tokenAmount1.gt(ZERO)) {\n        tokenAmount1 = tokenAmount1.add(new BN(1));\n      }\n\n      return { tokenAmount0, tokenAmount1 };\n    }\n    throw Error(\"roundDirection value error\");\n  }\n}\n","import { PublicKey } from \"@solana/web3.js\";\nimport BN from \"bn.js\";\nimport Decimal from \"decimal.js-light\";\nimport { ApiV3Token } from \"../../../api/type\";\nimport { BNDivCeil } from \"../../../common\";\nimport { ConstantProductCurve } from \"./constantProduct\";\nimport { CpmmFee as Fee } from \"./fee\";\n\nexport enum RoundDirection {\n  Floor,\n  Ceiling,\n}\n\nexport type SwapWithoutFeesResult = { destinationAmountSwapped: BN };\n\nexport type TradingTokenResult = { tokenAmount0: BN; tokenAmount1: BN };\n\nexport type SwapResult = {\n  newInputVaultAmount: BN;\n  newOutputVaultAmount: BN;\n  inputAmount: BN;\n  outputAmount: BN;\n  tradeFee: BN;\n  protocolFee: BN;\n  fundFee: BN;\n  creatorFee: BN;\n};\n\nexport enum TradeDirection {\n  ZeroForOne,\n  OneForZero,\n}\nexport enum TradeDirectionOpposite {\n  OneForZero,\n  ZeroForOne,\n}\n\nexport class CurveCalculator {\n  static validate_supply(tokenAmount0: BN, tokenAmount1: BN): void {\n    if (tokenAmount0.isZero()) throw Error(\"tokenAmount0 is zero\");\n    if (tokenAmount1.isZero()) throw Error(\"tokenAmount1 is zero\");\n  }\n\n  static swapBaseInput(\n    inputAmount: BN,\n    inputVaultAmount: BN,\n    outputVaultAmount: BN,\n    tradeFeeRate: BN,\n    creatorFeeRate: BN,\n    protocolFeeRate: BN,\n    fundFeeRate: BN,\n    isCreatorFeeOnInput: boolean,\n  ): SwapResult {\n    let creatorFee = new BN(0);\n\n    const tradeFee = Fee.tradingFee(inputAmount, tradeFeeRate);\n\n    let inputAmountLessFees;\n    if (isCreatorFeeOnInput) {\n      creatorFee = Fee.creatorFee(inputAmount, creatorFeeRate);\n      inputAmountLessFees = inputAmount.sub(tradeFee).sub(creatorFee);\n    } else {\n      inputAmountLessFees = inputAmount.sub(tradeFee);\n    }\n\n    const protocolFee = Fee.protocolFee(tradeFee, protocolFeeRate);\n    const fundFee = Fee.protocolFee(tradeFee, fundFeeRate);\n\n    const outputAmountSwapped = ConstantProductCurve.swapBaseInputWithoutFees(\n      inputAmountLessFees,\n      inputVaultAmount,\n      outputVaultAmount,\n    );\n\n    let outputAmount;\n    if (isCreatorFeeOnInput) {\n      outputAmount = outputAmountSwapped;\n    } else {\n      creatorFee = Fee.creatorFee(outputAmountSwapped, creatorFeeRate);\n      outputAmount = outputAmountSwapped.sub(creatorFee);\n    }\n\n    return {\n      newInputVaultAmount: inputVaultAmount.add(inputAmountLessFees),\n      newOutputVaultAmount: outputVaultAmount.sub(outputAmountSwapped),\n      inputAmount,\n      outputAmount,\n      tradeFee,\n      protocolFee,\n      fundFee,\n      creatorFee,\n    };\n  }\n\n  static swapBaseOutput(\n    outputAmount: BN,\n    inputVaultAmount: BN,\n    outputVaultAmount: BN,\n    tradeFeeRate: BN,\n    creatorFeeRate: BN,\n    protocolFeeRate: BN,\n    fundFeeRate: BN,\n    isCreatorFeeOnInput: boolean,\n  ): SwapResult {\n    let tradeFee;\n    let creatorFee = new BN(0);\n\n    let actualOutputAmount;\n\n    if (isCreatorFeeOnInput) {\n      actualOutputAmount = outputAmount;\n    } else {\n      const outAmountWithCreatorFee = Fee.calculatePreFeeAmount(outputAmount, creatorFeeRate);\n      creatorFee = outAmountWithCreatorFee.sub(outputAmount);\n      actualOutputAmount = outAmountWithCreatorFee;\n    }\n\n    const inputAmountSwapped = ConstantProductCurve.swapBaseOutputWithoutFees(\n      actualOutputAmount,\n      inputVaultAmount,\n      outputVaultAmount,\n    );\n\n    let inputAmount;\n    if (isCreatorFeeOnInput) {\n      const inputAmountWithFee = Fee.calculatePreFeeAmount(inputAmountSwapped, tradeFeeRate.add(creatorFeeRate));\n      const totalFee = inputAmountWithFee.sub(inputAmountSwapped);\n      creatorFee = Fee.splitCreatorFee(totalFee, tradeFeeRate, creatorFeeRate);\n      tradeFee = totalFee.sub(creatorFee);\n      inputAmount = inputAmountWithFee;\n    } else {\n      const inputAmountWithFee = Fee.calculatePreFeeAmount(inputAmountSwapped, tradeFeeRate);\n      tradeFee = inputAmountWithFee.sub(inputAmountSwapped);\n      inputAmount = inputAmountWithFee;\n    }\n\n    const protocolFee = Fee.protocolFee(tradeFee, protocolFeeRate);\n    const fundFee = Fee.fundFee(tradeFee, fundFeeRate);\n\n    return {\n      newInputVaultAmount: inputVaultAmount.add(inputAmountSwapped),\n      newOutputVaultAmount: outputAmount.sub(actualOutputAmount),\n      inputAmount,\n      outputAmount,\n      tradeFee,\n      protocolFee,\n      fundFee,\n      creatorFee,\n    };\n  }\n}\n","import BN from \"bn.js\";\nimport { ceilDiv, floorDiv } from \"@/common/bignumber\";\nimport { FEE_RATE_DENOMINATOR_VALUE } from \"@/common/fee\";\n\nexport class CpmmFee {\n  static tradingFee(amount: BN, tradeFeeRate: BN): BN {\n    return ceilDiv(amount, tradeFeeRate, FEE_RATE_DENOMINATOR_VALUE);\n  }\n  static protocolFee(amount: BN, protocolFeeRate: BN): BN {\n    return floorDiv(amount, protocolFeeRate, FEE_RATE_DENOMINATOR_VALUE);\n  }\n  static fundFee(amount: BN, fundFeeRate: BN): BN {\n    return floorDiv(amount, fundFeeRate, FEE_RATE_DENOMINATOR_VALUE);\n  }\n\n  static creatorFee(amount: BN, creatorFeeRate: BN): BN {\n    return ceilDiv(amount, creatorFeeRate, FEE_RATE_DENOMINATOR_VALUE);\n  }\n\n  static splitCreatorFee(totalFee: BN, tradeFeeRate: BN, creatorFeeRate: BN): BN {\n    return floorDiv(totalFee, creatorFeeRate, tradeFeeRate.add(creatorFeeRate));\n  }\n\n  static calculatePreFeeAmount(postFeeAmount: BN, tradeFeeRate: BN): BN {\n    if (tradeFeeRate.isZero()) return postFeeAmount;\n\n    const numerator = postFeeAmount.mul(FEE_RATE_DENOMINATOR_VALUE);\n    const denominator = FEE_RATE_DENOMINATOR_VALUE.sub(tradeFeeRate);\n\n    return numerator.add(denominator).sub(new BN(1)).div(denominator);\n  }\n}\n","import BN from \"bn.js\";\nimport Decimal from \"decimal.js\";\nimport { CurrencyAmount, TokenAmount } from \"../module/amount\";\nimport { Currency } from \"../module/currency\";\nimport { Fraction } from \"../module/fraction\";\nimport { Percent } from \"../module/percent\";\nimport { Price } from \"../module/price\";\nimport { Token } from \"../module/token\";\nimport { SplToken, TokenJson } from \"../raydium/token/type\";\nimport { ReplaceType } from \"../raydium/type\";\nimport { parseBigNumberish } from \"./constant\";\nimport { mul } from \"./fractionUtil\";\nimport { notInnerObject } from \"./utility\";\n\nexport const BN_ZERO = new BN(0);\nexport const BN_ONE = new BN(1);\nexport const BN_TWO = new BN(2);\nexport const BN_THREE = new BN(3);\nexport const BN_FIVE = new BN(5);\nexport const BN_TEN = new BN(10);\nexport const BN_100 = new BN(100);\nexport const BN_1000 = new BN(1000);\nexport const BN_10000 = new BN(10000);\nexport type BigNumberish = BN | string | number | bigint;\nexport type Numberish = number | string | bigint | Fraction | BN;\n\nexport function tenExponential(shift: BigNumberish): BN {\n  return BN_TEN.pow(parseBigNumberish(shift));\n}\n\n/**\n *\n * @example\n * getIntInfo(0.34) => { numerator: '34', denominator: '100'}\n * getIntInfo('0.34') //=> { numerator: '34', denominator: '100'}\n */\nexport function parseNumberInfo(n: Numberish | undefined): {\n  denominator: string;\n  numerator: string;\n  sign?: string;\n  int?: string;\n  dec?: string;\n} {\n  if (n === undefined) return { denominator: \"1\", numerator: \"0\" };\n  if (n instanceof BN) {\n    return { numerator: n.toString(), denominator: \"1\" };\n  }\n\n  if (n instanceof Fraction) {\n    return { denominator: n.denominator.toString(), numerator: n.numerator.toString() };\n  }\n\n  const s = String(n);\n  const [, sign = \"\", int = \"\", dec = \"\"] = s.replace(\",\", \"\").match(/(-?)(\\d*)\\.?(\\d*)/) ?? [];\n  const denominator = \"1\" + \"0\".repeat(dec.length);\n  const numerator = sign + (int === \"0\" ? \"\" : int) + dec || \"0\";\n  return { denominator, numerator, sign, int, dec };\n}\n\n// round up\nexport function divCeil(a: BN, b: BN): BN {\n  // eslint-disable-next-line @typescript-eslint/ban-ts-comment\n  // @ts-ignore\n  const dm = a.divmod(b);\n\n  // Fast case - exact division\n  if (dm.mod.isZero()) return dm.div;\n\n  // Round up\n  return dm.div.isNeg() ? dm.div.isubn(1) : dm.div.iaddn(1);\n}\n\nexport function shakeFractionDecimal(n: Fraction): string {\n  const [, sign = \"\", int = \"\"] = n.toFixed(2).match(/(-?)(\\d*)\\.?(\\d*)/) ?? [];\n  return `${sign}${int}`;\n}\n\nexport function toBN(n: Numberish, decimal: BigNumberish = 0): BN {\n  if (n instanceof BN) return n;\n  return new BN(shakeFractionDecimal(toFraction(n).mul(BN_TEN.pow(new BN(String(decimal))))));\n}\n\nexport function toFraction(value: Numberish): Fraction {\n  //  to complete math format(may have decimal), not int\n  if (value instanceof Percent) return new Fraction(value.numerator, value.denominator);\n\n  if (value instanceof Price) return value.adjusted;\n\n  // to complete math format(may have decimal), not BN\n  if (value instanceof TokenAmount)\n    try {\n      return toFraction(value.toExact());\n    } catch {\n      return new Fraction(BN_ZERO);\n    }\n\n  // do not ideal with other fraction value\n  if (value instanceof Fraction) return value;\n\n  // wrap to Fraction\n  const n = String(value);\n  const details = parseNumberInfo(n);\n  return new Fraction(details.numerator, details.denominator);\n}\n\nexport function ceilDiv(tokenAmount: BN, feeNumerator: BN, feeDenominator: BN): BN {\n  return tokenAmount.mul(feeNumerator).add(feeDenominator).sub(new BN(1)).div(feeDenominator);\n}\n\nexport function floorDiv(tokenAmount: BN, feeNumerator: BN, feeDenominator: BN): BN {\n  return tokenAmount.mul(feeNumerator).div(feeDenominator);\n}\n\n/**\n * @example\n * toPercent(3.14) // => Percent { 314.00% }\n * toPercent(3.14, { alreadyDecimaled: true }) // => Percent {3.14%}\n */\nexport function toPercent(\n  n: Numberish,\n  options?: { /* usually used for backend data */ alreadyDecimaled?: boolean },\n): Percent {\n  const { numerator, denominator } = parseNumberInfo(n);\n  return new Percent(new BN(numerator), new BN(denominator).mul(options?.alreadyDecimaled ? new BN(100) : new BN(1)));\n}\n\nexport function toTokenPrice(params: {\n  token: TokenJson | Token | SplToken;\n  numberPrice: Numberish;\n  decimalDone?: boolean;\n}): Price {\n  const { token, numberPrice, decimalDone } = params;\n  const usdCurrency = new Token({ mint: \"\", decimals: 6, symbol: \"usd\", name: \"usd\", skipMint: true });\n  const { numerator, denominator } = parseNumberInfo(numberPrice);\n  const parsedNumerator = decimalDone ? new BN(numerator).mul(BN_TEN.pow(new BN(token.decimals))) : numerator;\n  const parsedDenominator = new BN(denominator).mul(BN_TEN.pow(new BN(usdCurrency.decimals)));\n\n  return new Price({\n    baseToken: usdCurrency,\n    denominator: parsedDenominator.toString(),\n    quoteToken: new Token({ ...token, skipMint: true, mint: \"\" }),\n    numerator: parsedNumerator.toString(),\n  });\n}\n\nexport function toUsdCurrency(amount: Numberish): CurrencyAmount {\n  const usdCurrency = new Currency({ decimals: 6, symbol: \"usd\", name: \"usd\" });\n  const amountBigNumber = toBN(mul(amount, 10 ** usdCurrency.decimals)!);\n  return new CurrencyAmount(usdCurrency, amountBigNumber);\n}\n\nexport function toTotalPrice(amount: Numberish | undefined, price: Price | undefined): CurrencyAmount {\n  if (!price || !amount) return toUsdCurrency(0);\n  return toUsdCurrency(mul(amount, price)!);\n}\n\nexport function decimalToFraction(n: Decimal | undefined): Fraction | undefined {\n  if (n == null) return undefined;\n  const { numerator, denominator } = parseNumberInfo(n.toString());\n  return new Fraction(numerator, denominator);\n}\n\nexport function isDecimal(val: unknown): boolean {\n  return val instanceof Decimal;\n}\n\n// export function recursivelyDecimalToFraction<T>(info: T): ReplaceType<T, Decimal, Fraction> {\n//   // @ts-expect-error no need type for inner code\n//   return isDecimal(info)\n//     ? decimalToFraction(info as any)\n//     : Array.isArray(info)\n//     ? info.map((k) => recursivelyDecimalToFraction(k))\n//     : notInnerObject(info)\n//     ? Object.fromEntries(Object.entries(info as any).map(([k, v]) => [k, recursivelyDecimalToFraction(v)]))\n//     : info;\n// }\n","/*\r\n *  decimal.js v10.3.1\r\n *  An arbitrary-precision Decimal type for JavaScript.\r\n *  https://github.com/MikeMcl/decimal.js\r\n *  Copyright (c) 2021 Michael Mclaughlin <M8ch88l@gmail.com>\r\n *  MIT Licence\r\n */\r\n\r\n\r\n// -----------------------------------  EDITABLE DEFAULTS  ------------------------------------ //\r\n\r\n\r\n  // The maximum exponent magnitude.\r\n  // The limit on the value of `toExpNeg`, `toExpPos`, `minE` and `maxE`.\r\nvar EXP_LIMIT = 9e15,                      // 0 to 9e15\r\n\r\n  // The limit on the value of `precision`, and on the value of the first argument to\r\n  // `toDecimalPlaces`, `toExponential`, `toFixed`, `toPrecision` and `toSignificantDigits`.\r\n  MAX_DIGITS = 1e9,                        // 0 to 1e9\r\n\r\n  // Base conversion alphabet.\r\n  NUMERALS = '0123456789abcdef',\r\n\r\n  // The natural logarithm of 10 (1025 digits).\r\n  LN10 = '2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058',\r\n\r\n  // Pi (1025 digits).\r\n  PI = '3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789',\r\n\r\n\r\n  // The initial configuration properties of the Decimal constructor.\r\n  DEFAULTS = {\r\n\r\n    // These values must be integers within the stated ranges (inclusive).\r\n    // Most of these values can be changed at run-time using the `Decimal.config` method.\r\n\r\n    // The maximum number of significant digits of the result of a calculation or base conversion.\r\n    // E.g. `Decimal.config({ precision: 20 });`\r\n    precision: 20,                         // 1 to MAX_DIGITS\r\n\r\n    // The rounding mode used when rounding to `precision`.\r\n    //\r\n    // ROUND_UP         0 Away from zero.\r\n    // ROUND_DOWN       1 Towards zero.\r\n    // ROUND_CEIL       2 Towards +Infinity.\r\n    // ROUND_FLOOR      3 Towards -Infinity.\r\n    // ROUND_HALF_UP    4 Towards nearest neighbour. If equidistant, up.\r\n    // ROUND_HALF_DOWN  5 Towards nearest neighbour. If equidistant, down.\r\n    // ROUND_HALF_EVEN  6 Towards nearest neighbour. If equidistant, towards even neighbour.\r\n    // ROUND_HALF_CEIL  7 Towards nearest neighbour. If equidistant, towards +Infinity.\r\n    // ROUND_HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.\r\n    //\r\n    // E.g.\r\n    // `Decimal.rounding = 4;`\r\n    // `Decimal.rounding = Decimal.ROUND_HALF_UP;`\r\n    rounding: 4,                           // 0 to 8\r\n\r\n    // The modulo mode used when calculating the modulus: a mod n.\r\n    // The quotient (q = a / n) is calculated according to the corresponding rounding mode.\r\n    // The remainder (r) is calculated as: r = a - n * q.\r\n    //\r\n    // UP         0 The remainder is positive if the dividend is negative, else is negative.\r\n    // DOWN       1 The remainder has the same sign as the dividend (JavaScript %).\r\n    // FLOOR      3 The remainder has the same sign as the divisor (Python %).\r\n    // HALF_EVEN  6 The IEEE 754 remainder function.\r\n    // EUCLID     9 Euclidian division. q = sign(n) * floor(a / abs(n)). Always positive.\r\n    //\r\n    // Truncated division (1), floored division (3), the IEEE 754 remainder (6), and Euclidian\r\n    // division (9) are commonly used for the modulus operation. The other rounding modes can also\r\n    // be used, but they may not give useful results.\r\n    modulo: 1,                             // 0 to 9\r\n\r\n    // The exponent value at and beneath which `toString` returns exponential notation.\r\n    // JavaScript numbers: -7\r\n    toExpNeg: -7,                          // 0 to -EXP_LIMIT\r\n\r\n    // The exponent value at and above which `toString` returns exponential notation.\r\n    // JavaScript numbers: 21\r\n    toExpPos:  21,                         // 0 to EXP_LIMIT\r\n\r\n    // The minimum exponent value, beneath which underflow to zero occurs.\r\n    // JavaScript numbers: -324  (5e-324)\r\n    minE: -EXP_LIMIT,                      // -1 to -EXP_LIMIT\r\n\r\n    // The maximum exponent value, above which overflow to Infinity occurs.\r\n    // JavaScript numbers: 308  (1.7976931348623157e+308)\r\n    maxE: EXP_LIMIT,                       // 1 to EXP_LIMIT\r\n\r\n    // Whether to use cryptographically-secure random number generation, if available.\r\n    crypto: false                          // true/false\r\n  },\r\n\r\n\r\n// ----------------------------------- END OF EDITABLE DEFAULTS ------------------------------- //\r\n\r\n\r\n  inexact, quadrant,\r\n  external = true,\r\n\r\n  decimalError = '[DecimalError] ',\r\n  invalidArgument = decimalError + 'Invalid argument: ',\r\n  precisionLimitExceeded = decimalError + 'Precision limit exceeded',\r\n  cryptoUnavailable = decimalError + 'crypto unavailable',\r\n  tag = '[object Decimal]',\r\n\r\n  mathfloor = Math.floor,\r\n  mathpow = Math.pow,\r\n\r\n  isBinary = /^0b([01]+(\\.[01]*)?|\\.[01]+)(p[+-]?\\d+)?$/i,\r\n  isHex = /^0x([0-9a-f]+(\\.[0-9a-f]*)?|\\.[0-9a-f]+)(p[+-]?\\d+)?$/i,\r\n  isOctal = /^0o([0-7]+(\\.[0-7]*)?|\\.[0-7]+)(p[+-]?\\d+)?$/i,\r\n  isDecimal = /^(\\d+(\\.\\d*)?|\\.\\d+)(e[+-]?\\d+)?$/i,\r\n\r\n  BASE = 1e7,\r\n  LOG_BASE = 7,\r\n  MAX_SAFE_INTEGER = 9007199254740991,\r\n\r\n  LN10_PRECISION = LN10.length - 1,\r\n  PI_PRECISION = PI.length - 1,\r\n\r\n  // Decimal.prototype object\r\n  P = { toStringTag: tag };\r\n\r\n\r\n// Decimal prototype methods\r\n\r\n\r\n/*\r\n *  absoluteValue             abs\r\n *  ceil\r\n *  clampedTo                 clamp\r\n *  comparedTo                cmp\r\n *  cosine                    cos\r\n *  cubeRoot                  cbrt\r\n *  decimalPlaces             dp\r\n *  dividedBy                 div\r\n *  dividedToIntegerBy        divToInt\r\n *  equals                    eq\r\n *  floor\r\n *  greaterThan               gt\r\n *  greaterThanOrEqualTo      gte\r\n *  hyperbolicCosine          cosh\r\n *  hyperbolicSine            sinh\r\n *  hyperbolicTangent         tanh\r\n *  inverseCosine             acos\r\n *  inverseHyperbolicCosine   acosh\r\n *  inverseHyperbolicSine     asinh\r\n *  inverseHyperbolicTangent  atanh\r\n *  inverseSine               asin\r\n *  inverseTangent            atan\r\n *  isFinite\r\n *  isInteger                 isInt\r\n *  isNaN\r\n *  isNegative                isNeg\r\n *  isPositive                isPos\r\n *  isZero\r\n *  lessThan                  lt\r\n *  lessThanOrEqualTo         lte\r\n *  logarithm                 log\r\n *  [maximum]                 [max]\r\n *  [minimum]                 [min]\r\n *  minus                     sub\r\n *  modulo                    mod\r\n *  naturalExponential        exp\r\n *  naturalLogarithm          ln\r\n *  negated                   neg\r\n *  plus                      add\r\n *  precision                 sd\r\n *  round\r\n *  sine                      sin\r\n *  squareRoot                sqrt\r\n *  tangent                   tan\r\n *  times                     mul\r\n *  toBinary\r\n *  toDecimalPlaces           toDP\r\n *  toExponential\r\n *  toFixed\r\n *  toFraction\r\n *  toHexadecimal             toHex\r\n *  toNearest\r\n *  toNumber\r\n *  toOctal\r\n *  toPower                   pow\r\n *  toPrecision\r\n *  toSignificantDigits       toSD\r\n *  toString\r\n *  truncated                 trunc\r\n *  valueOf                   toJSON\r\n */\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the absolute value of this Decimal.\r\n *\r\n */\r\nP.absoluteValue = P.abs = function () {\r\n  var x = new this.constructor(this);\r\n  if (x.s < 0) x.s = 1;\r\n  return finalise(x);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a whole number in the\r\n * direction of positive Infinity.\r\n *\r\n */\r\nP.ceil = function () {\r\n  return finalise(new this.constructor(this), this.e + 1, 2);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal clamped to the range\r\n * delineated by `min` and `max`.\r\n *\r\n * min {number|string|Decimal}\r\n * max {number|string|Decimal}\r\n *\r\n */\r\nP.clampedTo = P.clamp = function (min, max) {\r\n  var k,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n  min = new Ctor(min);\r\n  max = new Ctor(max);\r\n  if (!min.s || !max.s) return new Ctor(NaN);\r\n  if (min.gt(max)) throw Error(invalidArgument + max);\r\n  k = x.cmp(min);\r\n  return k < 0 ? min : x.cmp(max) > 0 ? max : new Ctor(x);\r\n};\r\n\r\n\r\n/*\r\n * Return\r\n *   1    if the value of this Decimal is greater than the value of `y`,\r\n *  -1    if the value of this Decimal is less than the value of `y`,\r\n *   0    if they have the same value,\r\n *   NaN  if the value of either Decimal is NaN.\r\n *\r\n */\r\nP.comparedTo = P.cmp = function (y) {\r\n  var i, j, xdL, ydL,\r\n    x = this,\r\n    xd = x.d,\r\n    yd = (y = new x.constructor(y)).d,\r\n    xs = x.s,\r\n    ys = y.s;\r\n\r\n  // Either NaN or ±Infinity?\r\n  if (!xd || !yd) {\r\n    return !xs || !ys ? NaN : xs !== ys ? xs : xd === yd ? 0 : !xd ^ xs < 0 ? 1 : -1;\r\n  }\r\n\r\n  // Either zero?\r\n  if (!xd[0] || !yd[0]) return xd[0] ? xs : yd[0] ? -ys : 0;\r\n\r\n  // Signs differ?\r\n  if (xs !== ys) return xs;\r\n\r\n  // Compare exponents.\r\n  if (x.e !== y.e) return x.e > y.e ^ xs < 0 ? 1 : -1;\r\n\r\n  xdL = xd.length;\r\n  ydL = yd.length;\r\n\r\n  // Compare digit by digit.\r\n  for (i = 0, j = xdL < ydL ? xdL : ydL; i < j; ++i) {\r\n    if (xd[i] !== yd[i]) return xd[i] > yd[i] ^ xs < 0 ? 1 : -1;\r\n  }\r\n\r\n  // Compare lengths.\r\n  return xdL === ydL ? 0 : xdL > ydL ^ xs < 0 ? 1 : -1;\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the cosine of the value in radians of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-1, 1]\r\n *\r\n * cos(0)         = 1\r\n * cos(-0)        = 1\r\n * cos(Infinity)  = NaN\r\n * cos(-Infinity) = NaN\r\n * cos(NaN)       = NaN\r\n *\r\n */\r\nP.cosine = P.cos = function () {\r\n  var pr, rm,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (!x.d) return new Ctor(NaN);\r\n\r\n  // cos(0) = cos(-0) = 1\r\n  if (!x.d[0]) return new Ctor(1);\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n  Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\r\n  Ctor.rounding = 1;\r\n\r\n  x = cosine(Ctor, toLessThanHalfPi(Ctor, x));\r\n\r\n  Ctor.precision = pr;\r\n  Ctor.rounding = rm;\r\n\r\n  return finalise(quadrant == 2 || quadrant == 3 ? x.neg() : x, pr, rm, true);\r\n};\r\n\r\n\r\n/*\r\n *\r\n * Return a new Decimal whose value is the cube root of the value of this Decimal, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n *  cbrt(0)  =  0\r\n *  cbrt(-0) = -0\r\n *  cbrt(1)  =  1\r\n *  cbrt(-1) = -1\r\n *  cbrt(N)  =  N\r\n *  cbrt(-I) = -I\r\n *  cbrt(I)  =  I\r\n *\r\n * Math.cbrt(x) = (x < 0 ? -Math.pow(-x, 1/3) : Math.pow(x, 1/3))\r\n *\r\n */\r\nP.cubeRoot = P.cbrt = function () {\r\n  var e, m, n, r, rep, s, sd, t, t3, t3plusx,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (!x.isFinite() || x.isZero()) return new Ctor(x);\r\n  external = false;\r\n\r\n  // Initial estimate.\r\n  s = x.s * mathpow(x.s * x, 1 / 3);\r\n\r\n   // Math.cbrt underflow/overflow?\r\n   // Pass x to Math.pow as integer, then adjust the exponent of the result.\r\n  if (!s || Math.abs(s) == 1 / 0) {\r\n    n = digitsToString(x.d);\r\n    e = x.e;\r\n\r\n    // Adjust n exponent so it is a multiple of 3 away from x exponent.\r\n    if (s = (e - n.length + 1) % 3) n += (s == 1 || s == -2 ? '0' : '00');\r\n    s = mathpow(n, 1 / 3);\r\n\r\n    // Rarely, e may be one less than the result exponent value.\r\n    e = mathfloor((e + 1) / 3) - (e % 3 == (e < 0 ? -1 : 2));\r\n\r\n    if (s == 1 / 0) {\r\n      n = '5e' + e;\r\n    } else {\r\n      n = s.toExponential();\r\n      n = n.slice(0, n.indexOf('e') + 1) + e;\r\n    }\r\n\r\n    r = new Ctor(n);\r\n    r.s = x.s;\r\n  } else {\r\n    r = new Ctor(s.toString());\r\n  }\r\n\r\n  sd = (e = Ctor.precision) + 3;\r\n\r\n  // Halley's method.\r\n  // TODO? Compare Newton's method.\r\n  for (;;) {\r\n    t = r;\r\n    t3 = t.times(t).times(t);\r\n    t3plusx = t3.plus(x);\r\n    r = divide(t3plusx.plus(x).times(t), t3plusx.plus(t3), sd + 2, 1);\r\n\r\n    // TODO? Replace with for-loop and checkRoundingDigits.\r\n    if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\r\n      n = n.slice(sd - 3, sd + 1);\r\n\r\n      // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or 4999\r\n      // , i.e. approaching a rounding boundary, continue the iteration.\r\n      if (n == '9999' || !rep && n == '4999') {\r\n\r\n        // On the first iteration only, check to see if rounding up gives the exact result as the\r\n        // nines may infinitely repeat.\r\n        if (!rep) {\r\n          finalise(t, e + 1, 0);\r\n\r\n          if (t.times(t).times(t).eq(x)) {\r\n            r = t;\r\n            break;\r\n          }\r\n        }\r\n\r\n        sd += 4;\r\n        rep = 1;\r\n      } else {\r\n\r\n        // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\r\n        // If not, then there are further digits and m will be truthy.\r\n        if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\r\n\r\n          // Truncate to the first rounding digit.\r\n          finalise(r, e + 1, 1);\r\n          m = !r.times(r).times(r).eq(x);\r\n        }\r\n\r\n        break;\r\n      }\r\n    }\r\n  }\r\n\r\n  external = true;\r\n\r\n  return finalise(r, e, Ctor.rounding, m);\r\n};\r\n\r\n\r\n/*\r\n * Return the number of decimal places of the value of this Decimal.\r\n *\r\n */\r\nP.decimalPlaces = P.dp = function () {\r\n  var w,\r\n    d = this.d,\r\n    n = NaN;\r\n\r\n  if (d) {\r\n    w = d.length - 1;\r\n    n = (w - mathfloor(this.e / LOG_BASE)) * LOG_BASE;\r\n\r\n    // Subtract the number of trailing zeros of the last word.\r\n    w = d[w];\r\n    if (w) for (; w % 10 == 0; w /= 10) n--;\r\n    if (n < 0) n = 0;\r\n  }\r\n\r\n  return n;\r\n};\r\n\r\n\r\n/*\r\n *  n / 0 = I\r\n *  n / N = N\r\n *  n / I = 0\r\n *  0 / n = 0\r\n *  0 / 0 = N\r\n *  0 / N = N\r\n *  0 / I = 0\r\n *  N / n = N\r\n *  N / 0 = N\r\n *  N / N = N\r\n *  N / I = N\r\n *  I / n = I\r\n *  I / 0 = I\r\n *  I / N = N\r\n *  I / I = N\r\n *\r\n * Return a new Decimal whose value is the value of this Decimal divided by `y`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n */\r\nP.dividedBy = P.div = function (y) {\r\n  return divide(this, new this.constructor(y));\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the integer part of dividing the value of this Decimal\r\n * by the value of `y`, rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n */\r\nP.dividedToIntegerBy = P.divToInt = function (y) {\r\n  var x = this,\r\n    Ctor = x.constructor;\r\n  return finalise(divide(x, new Ctor(y), 0, 1, 1), Ctor.precision, Ctor.rounding);\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is equal to the value of `y`, otherwise return false.\r\n *\r\n */\r\nP.equals = P.eq = function (y) {\r\n  return this.cmp(y) === 0;\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a whole number in the\r\n * direction of negative Infinity.\r\n *\r\n */\r\nP.floor = function () {\r\n  return finalise(new this.constructor(this), this.e + 1, 3);\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is greater than the value of `y`, otherwise return\r\n * false.\r\n *\r\n */\r\nP.greaterThan = P.gt = function (y) {\r\n  return this.cmp(y) > 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is greater than or equal to the value of `y`,\r\n * otherwise return false.\r\n *\r\n */\r\nP.greaterThanOrEqualTo = P.gte = function (y) {\r\n  var k = this.cmp(y);\r\n  return k == 1 || k === 0;\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the hyperbolic cosine of the value in radians of this\r\n * Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [1, Infinity]\r\n *\r\n * cosh(x) = 1 + x^2/2! + x^4/4! + x^6/6! + ...\r\n *\r\n * cosh(0)         = 1\r\n * cosh(-0)        = 1\r\n * cosh(Infinity)  = Infinity\r\n * cosh(-Infinity) = Infinity\r\n * cosh(NaN)       = NaN\r\n *\r\n *  x        time taken (ms)   result\r\n * 1000      9                 9.8503555700852349694e+433\r\n * 10000     25                4.4034091128314607936e+4342\r\n * 100000    171               1.4033316802130615897e+43429\r\n * 1000000   3817              1.5166076984010437725e+434294\r\n * 10000000  abandoned after 2 minute wait\r\n *\r\n * TODO? Compare performance of cosh(x) = 0.5 * (exp(x) + exp(-x))\r\n *\r\n */\r\nP.hyperbolicCosine = P.cosh = function () {\r\n  var k, n, pr, rm, len,\r\n    x = this,\r\n    Ctor = x.constructor,\r\n    one = new Ctor(1);\r\n\r\n  if (!x.isFinite()) return new Ctor(x.s ? 1 / 0 : NaN);\r\n  if (x.isZero()) return one;\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n  Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\r\n  Ctor.rounding = 1;\r\n  len = x.d.length;\r\n\r\n  // Argument reduction: cos(4x) = 1 - 8cos^2(x) + 8cos^4(x) + 1\r\n  // i.e. cos(x) = 1 - cos^2(x/4)(8 - 8cos^2(x/4))\r\n\r\n  // Estimate the optimum number of times to use the argument reduction.\r\n  // TODO? Estimation reused from cosine() and may not be optimal here.\r\n  if (len < 32) {\r\n    k = Math.ceil(len / 3);\r\n    n = (1 / tinyPow(4, k)).toString();\r\n  } else {\r\n    k = 16;\r\n    n = '2.3283064365386962890625e-10';\r\n  }\r\n\r\n  x = taylorSeries(Ctor, 1, x.times(n), new Ctor(1), true);\r\n\r\n  // Reverse argument reduction\r\n  var cosh2_x,\r\n    i = k,\r\n    d8 = new Ctor(8);\r\n  for (; i--;) {\r\n    cosh2_x = x.times(x);\r\n    x = one.minus(cosh2_x.times(d8.minus(cosh2_x.times(d8))));\r\n  }\r\n\r\n  return finalise(x, Ctor.precision = pr, Ctor.rounding = rm, true);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the hyperbolic sine of the value in radians of this\r\n * Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-Infinity, Infinity]\r\n *\r\n * sinh(x) = x + x^3/3! + x^5/5! + x^7/7! + ...\r\n *\r\n * sinh(0)         = 0\r\n * sinh(-0)        = -0\r\n * sinh(Infinity)  = Infinity\r\n * sinh(-Infinity) = -Infinity\r\n * sinh(NaN)       = NaN\r\n *\r\n * x        time taken (ms)\r\n * 10       2 ms\r\n * 100      5 ms\r\n * 1000     14 ms\r\n * 10000    82 ms\r\n * 100000   886 ms            1.4033316802130615897e+43429\r\n * 200000   2613 ms\r\n * 300000   5407 ms\r\n * 400000   8824 ms\r\n * 500000   13026 ms          8.7080643612718084129e+217146\r\n * 1000000  48543 ms\r\n *\r\n * TODO? Compare performance of sinh(x) = 0.5 * (exp(x) - exp(-x))\r\n *\r\n */\r\nP.hyperbolicSine = P.sinh = function () {\r\n  var k, pr, rm, len,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (!x.isFinite() || x.isZero()) return new Ctor(x);\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n  Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\r\n  Ctor.rounding = 1;\r\n  len = x.d.length;\r\n\r\n  if (len < 3) {\r\n    x = taylorSeries(Ctor, 2, x, x, true);\r\n  } else {\r\n\r\n    // Alternative argument reduction: sinh(3x) = sinh(x)(3 + 4sinh^2(x))\r\n    // i.e. sinh(x) = sinh(x/3)(3 + 4sinh^2(x/3))\r\n    // 3 multiplications and 1 addition\r\n\r\n    // Argument reduction: sinh(5x) = sinh(x)(5 + sinh^2(x)(20 + 16sinh^2(x)))\r\n    // i.e. sinh(x) = sinh(x/5)(5 + sinh^2(x/5)(20 + 16sinh^2(x/5)))\r\n    // 4 multiplications and 2 additions\r\n\r\n    // Estimate the optimum number of times to use the argument reduction.\r\n    k = 1.4 * Math.sqrt(len);\r\n    k = k > 16 ? 16 : k | 0;\r\n\r\n    x = x.times(1 / tinyPow(5, k));\r\n    x = taylorSeries(Ctor, 2, x, x, true);\r\n\r\n    // Reverse argument reduction\r\n    var sinh2_x,\r\n      d5 = new Ctor(5),\r\n      d16 = new Ctor(16),\r\n      d20 = new Ctor(20);\r\n    for (; k--;) {\r\n      sinh2_x = x.times(x);\r\n      x = x.times(d5.plus(sinh2_x.times(d16.times(sinh2_x).plus(d20))));\r\n    }\r\n  }\r\n\r\n  Ctor.precision = pr;\r\n  Ctor.rounding = rm;\r\n\r\n  return finalise(x, pr, rm, true);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the hyperbolic tangent of the value in radians of this\r\n * Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-1, 1]\r\n *\r\n * tanh(x) = sinh(x) / cosh(x)\r\n *\r\n * tanh(0)         = 0\r\n * tanh(-0)        = -0\r\n * tanh(Infinity)  = 1\r\n * tanh(-Infinity) = -1\r\n * tanh(NaN)       = NaN\r\n *\r\n */\r\nP.hyperbolicTangent = P.tanh = function () {\r\n  var pr, rm,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (!x.isFinite()) return new Ctor(x.s);\r\n  if (x.isZero()) return new Ctor(x);\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n  Ctor.precision = pr + 7;\r\n  Ctor.rounding = 1;\r\n\r\n  return divide(x.sinh(), x.cosh(), Ctor.precision = pr, Ctor.rounding = rm);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the arccosine (inverse cosine) in radians of the value of\r\n * this Decimal.\r\n *\r\n * Domain: [-1, 1]\r\n * Range: [0, pi]\r\n *\r\n * acos(x) = pi/2 - asin(x)\r\n *\r\n * acos(0)       = pi/2\r\n * acos(-0)      = pi/2\r\n * acos(1)       = 0\r\n * acos(-1)      = pi\r\n * acos(1/2)     = pi/3\r\n * acos(-1/2)    = 2*pi/3\r\n * acos(|x| > 1) = NaN\r\n * acos(NaN)     = NaN\r\n *\r\n */\r\nP.inverseCosine = P.acos = function () {\r\n  var halfPi,\r\n    x = this,\r\n    Ctor = x.constructor,\r\n    k = x.abs().cmp(1),\r\n    pr = Ctor.precision,\r\n    rm = Ctor.rounding;\r\n\r\n  if (k !== -1) {\r\n    return k === 0\r\n      // |x| is 1\r\n      ? x.isNeg() ? getPi(Ctor, pr, rm) : new Ctor(0)\r\n      // |x| > 1 or x is NaN\r\n      : new Ctor(NaN);\r\n  }\r\n\r\n  if (x.isZero()) return getPi(Ctor, pr + 4, rm).times(0.5);\r\n\r\n  // TODO? Special case acos(0.5) = pi/3 and acos(-0.5) = 2*pi/3\r\n\r\n  Ctor.precision = pr + 6;\r\n  Ctor.rounding = 1;\r\n\r\n  x = x.asin();\r\n  halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\r\n\r\n  Ctor.precision = pr;\r\n  Ctor.rounding = rm;\r\n\r\n  return halfPi.minus(x);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic cosine in radians of the\r\n * value of this Decimal.\r\n *\r\n * Domain: [1, Infinity]\r\n * Range: [0, Infinity]\r\n *\r\n * acosh(x) = ln(x + sqrt(x^2 - 1))\r\n *\r\n * acosh(x < 1)     = NaN\r\n * acosh(NaN)       = NaN\r\n * acosh(Infinity)  = Infinity\r\n * acosh(-Infinity) = NaN\r\n * acosh(0)         = NaN\r\n * acosh(-0)        = NaN\r\n * acosh(1)         = 0\r\n * acosh(-1)        = NaN\r\n *\r\n */\r\nP.inverseHyperbolicCosine = P.acosh = function () {\r\n  var pr, rm,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (x.lte(1)) return new Ctor(x.eq(1) ? 0 : NaN);\r\n  if (!x.isFinite()) return new Ctor(x);\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n  Ctor.precision = pr + Math.max(Math.abs(x.e), x.sd()) + 4;\r\n  Ctor.rounding = 1;\r\n  external = false;\r\n\r\n  x = x.times(x).minus(1).sqrt().plus(x);\r\n\r\n  external = true;\r\n  Ctor.precision = pr;\r\n  Ctor.rounding = rm;\r\n\r\n  return x.ln();\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic sine in radians of the value\r\n * of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-Infinity, Infinity]\r\n *\r\n * asinh(x) = ln(x + sqrt(x^2 + 1))\r\n *\r\n * asinh(NaN)       = NaN\r\n * asinh(Infinity)  = Infinity\r\n * asinh(-Infinity) = -Infinity\r\n * asinh(0)         = 0\r\n * asinh(-0)        = -0\r\n *\r\n */\r\nP.inverseHyperbolicSine = P.asinh = function () {\r\n  var pr, rm,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (!x.isFinite() || x.isZero()) return new Ctor(x);\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n  Ctor.precision = pr + 2 * Math.max(Math.abs(x.e), x.sd()) + 6;\r\n  Ctor.rounding = 1;\r\n  external = false;\r\n\r\n  x = x.times(x).plus(1).sqrt().plus(x);\r\n\r\n  external = true;\r\n  Ctor.precision = pr;\r\n  Ctor.rounding = rm;\r\n\r\n  return x.ln();\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic tangent in radians of the\r\n * value of this Decimal.\r\n *\r\n * Domain: [-1, 1]\r\n * Range: [-Infinity, Infinity]\r\n *\r\n * atanh(x) = 0.5 * ln((1 + x) / (1 - x))\r\n *\r\n * atanh(|x| > 1)   = NaN\r\n * atanh(NaN)       = NaN\r\n * atanh(Infinity)  = NaN\r\n * atanh(-Infinity) = NaN\r\n * atanh(0)         = 0\r\n * atanh(-0)        = -0\r\n * atanh(1)         = Infinity\r\n * atanh(-1)        = -Infinity\r\n *\r\n */\r\nP.inverseHyperbolicTangent = P.atanh = function () {\r\n  var pr, rm, wpr, xsd,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (!x.isFinite()) return new Ctor(NaN);\r\n  if (x.e >= 0) return new Ctor(x.abs().eq(1) ? x.s / 0 : x.isZero() ? x : NaN);\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n  xsd = x.sd();\r\n\r\n  if (Math.max(xsd, pr) < 2 * -x.e - 1) return finalise(new Ctor(x), pr, rm, true);\r\n\r\n  Ctor.precision = wpr = xsd - x.e;\r\n\r\n  x = divide(x.plus(1), new Ctor(1).minus(x), wpr + pr, 1);\r\n\r\n  Ctor.precision = pr + 4;\r\n  Ctor.rounding = 1;\r\n\r\n  x = x.ln();\r\n\r\n  Ctor.precision = pr;\r\n  Ctor.rounding = rm;\r\n\r\n  return x.times(0.5);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the arcsine (inverse sine) in radians of the value of this\r\n * Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-pi/2, pi/2]\r\n *\r\n * asin(x) = 2*atan(x/(1 + sqrt(1 - x^2)))\r\n *\r\n * asin(0)       = 0\r\n * asin(-0)      = -0\r\n * asin(1/2)     = pi/6\r\n * asin(-1/2)    = -pi/6\r\n * asin(1)       = pi/2\r\n * asin(-1)      = -pi/2\r\n * asin(|x| > 1) = NaN\r\n * asin(NaN)     = NaN\r\n *\r\n * TODO? Compare performance of Taylor series.\r\n *\r\n */\r\nP.inverseSine = P.asin = function () {\r\n  var halfPi, k,\r\n    pr, rm,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (x.isZero()) return new Ctor(x);\r\n\r\n  k = x.abs().cmp(1);\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n\r\n  if (k !== -1) {\r\n\r\n    // |x| is 1\r\n    if (k === 0) {\r\n      halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\r\n      halfPi.s = x.s;\r\n      return halfPi;\r\n    }\r\n\r\n    // |x| > 1 or x is NaN\r\n    return new Ctor(NaN);\r\n  }\r\n\r\n  // TODO? Special case asin(1/2) = pi/6 and asin(-1/2) = -pi/6\r\n\r\n  Ctor.precision = pr + 6;\r\n  Ctor.rounding = 1;\r\n\r\n  x = x.div(new Ctor(1).minus(x.times(x)).sqrt().plus(1)).atan();\r\n\r\n  Ctor.precision = pr;\r\n  Ctor.rounding = rm;\r\n\r\n  return x.times(2);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the arctangent (inverse tangent) in radians of the value\r\n * of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-pi/2, pi/2]\r\n *\r\n * atan(x) = x - x^3/3 + x^5/5 - x^7/7 + ...\r\n *\r\n * atan(0)         = 0\r\n * atan(-0)        = -0\r\n * atan(1)         = pi/4\r\n * atan(-1)        = -pi/4\r\n * atan(Infinity)  = pi/2\r\n * atan(-Infinity) = -pi/2\r\n * atan(NaN)       = NaN\r\n *\r\n */\r\nP.inverseTangent = P.atan = function () {\r\n  var i, j, k, n, px, t, r, wpr, x2,\r\n    x = this,\r\n    Ctor = x.constructor,\r\n    pr = Ctor.precision,\r\n    rm = Ctor.rounding;\r\n\r\n  if (!x.isFinite()) {\r\n    if (!x.s) return new Ctor(NaN);\r\n    if (pr + 4 <= PI_PRECISION) {\r\n      r = getPi(Ctor, pr + 4, rm).times(0.5);\r\n      r.s = x.s;\r\n      return r;\r\n    }\r\n  } else if (x.isZero()) {\r\n    return new Ctor(x);\r\n  } else if (x.abs().eq(1) && pr + 4 <= PI_PRECISION) {\r\n    r = getPi(Ctor, pr + 4, rm).times(0.25);\r\n    r.s = x.s;\r\n    return r;\r\n  }\r\n\r\n  Ctor.precision = wpr = pr + 10;\r\n  Ctor.rounding = 1;\r\n\r\n  // TODO? if (x >= 1 && pr <= PI_PRECISION) atan(x) = halfPi * x.s - atan(1 / x);\r\n\r\n  // Argument reduction\r\n  // Ensure |x| < 0.42\r\n  // atan(x) = 2 * atan(x / (1 + sqrt(1 + x^2)))\r\n\r\n  k = Math.min(28, wpr / LOG_BASE + 2 | 0);\r\n\r\n  for (i = k; i; --i) x = x.div(x.times(x).plus(1).sqrt().plus(1));\r\n\r\n  external = false;\r\n\r\n  j = Math.ceil(wpr / LOG_BASE);\r\n  n = 1;\r\n  x2 = x.times(x);\r\n  r = new Ctor(x);\r\n  px = x;\r\n\r\n  // atan(x) = x - x^3/3 + x^5/5 - x^7/7 + ...\r\n  for (; i !== -1;) {\r\n    px = px.times(x2);\r\n    t = r.minus(px.div(n += 2));\r\n\r\n    px = px.times(x2);\r\n    r = t.plus(px.div(n += 2));\r\n\r\n    if (r.d[j] !== void 0) for (i = j; r.d[i] === t.d[i] && i--;);\r\n  }\r\n\r\n  if (k) r = r.times(2 << (k - 1));\r\n\r\n  external = true;\r\n\r\n  return finalise(r, Ctor.precision = pr, Ctor.rounding = rm, true);\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is a finite number, otherwise return false.\r\n *\r\n */\r\nP.isFinite = function () {\r\n  return !!this.d;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is an integer, otherwise return false.\r\n *\r\n */\r\nP.isInteger = P.isInt = function () {\r\n  return !!this.d && mathfloor(this.e / LOG_BASE) > this.d.length - 2;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is NaN, otherwise return false.\r\n *\r\n */\r\nP.isNaN = function () {\r\n  return !this.s;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is negative, otherwise return false.\r\n *\r\n */\r\nP.isNegative = P.isNeg = function () {\r\n  return this.s < 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is positive, otherwise return false.\r\n *\r\n */\r\nP.isPositive = P.isPos = function () {\r\n  return this.s > 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is 0 or -0, otherwise return false.\r\n *\r\n */\r\nP.isZero = function () {\r\n  return !!this.d && this.d[0] === 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is less than `y`, otherwise return false.\r\n *\r\n */\r\nP.lessThan = P.lt = function (y) {\r\n  return this.cmp(y) < 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is less than or equal to `y`, otherwise return false.\r\n *\r\n */\r\nP.lessThanOrEqualTo = P.lte = function (y) {\r\n  return this.cmp(y) < 1;\r\n};\r\n\r\n\r\n/*\r\n * Return the logarithm of the value of this Decimal to the specified base, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * If no base is specified, return log[10](arg).\r\n *\r\n * log[base](arg) = ln(arg) / ln(base)\r\n *\r\n * The result will always be correctly rounded if the base of the log is 10, and 'almost always'\r\n * otherwise:\r\n *\r\n * Depending on the rounding mode, the result may be incorrectly rounded if the first fifteen\r\n * rounding digits are [49]99999999999999 or [50]00000000000000. In that case, the maximum error\r\n * between the result and the correctly rounded result will be one ulp (unit in the last place).\r\n *\r\n * log[-b](a)       = NaN\r\n * log[0](a)        = NaN\r\n * log[1](a)        = NaN\r\n * log[NaN](a)      = NaN\r\n * log[Infinity](a) = NaN\r\n * log[b](0)        = -Infinity\r\n * log[b](-0)       = -Infinity\r\n * log[b](-a)       = NaN\r\n * log[b](1)        = 0\r\n * log[b](Infinity) = Infinity\r\n * log[b](NaN)      = NaN\r\n *\r\n * [base] {number|string|Decimal} The base of the logarithm.\r\n *\r\n */\r\nP.logarithm = P.log = function (base) {\r\n  var isBase10, d, denominator, k, inf, num, sd, r,\r\n    arg = this,\r\n    Ctor = arg.constructor,\r\n    pr = Ctor.precision,\r\n    rm = Ctor.rounding,\r\n    guard = 5;\r\n\r\n  // Default base is 10.\r\n  if (base == null) {\r\n    base = new Ctor(10);\r\n    isBase10 = true;\r\n  } else {\r\n    base = new Ctor(base);\r\n    d = base.d;\r\n\r\n    // Return NaN if base is negative, or non-finite, or is 0 or 1.\r\n    if (base.s < 0 || !d || !d[0] || base.eq(1)) return new Ctor(NaN);\r\n\r\n    isBase10 = base.eq(10);\r\n  }\r\n\r\n  d = arg.d;\r\n\r\n  // Is arg negative, non-finite, 0 or 1?\r\n  if (arg.s < 0 || !d || !d[0] || arg.eq(1)) {\r\n    return new Ctor(d && !d[0] ? -1 / 0 : arg.s != 1 ? NaN : d ? 0 : 1 / 0);\r\n  }\r\n\r\n  // The result will have a non-terminating decimal expansion if base is 10 and arg is not an\r\n  // integer power of 10.\r\n  if (isBase10) {\r\n    if (d.length > 1) {\r\n      inf = true;\r\n    } else {\r\n      for (k = d[0]; k % 10 === 0;) k /= 10;\r\n      inf = k !== 1;\r\n    }\r\n  }\r\n\r\n  external = false;\r\n  sd = pr + guard;\r\n  num = naturalLogarithm(arg, sd);\r\n  denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd);\r\n\r\n  // The result will have 5 rounding digits.\r\n  r = divide(num, denominator, sd, 1);\r\n\r\n  // If at a rounding boundary, i.e. the result's rounding digits are [49]9999 or [50]0000,\r\n  // calculate 10 further digits.\r\n  //\r\n  // If the result is known to have an infinite decimal expansion, repeat this until it is clear\r\n  // that the result is above or below the boundary. Otherwise, if after calculating the 10\r\n  // further digits, the last 14 are nines, round up and assume the result is exact.\r\n  // Also assume the result is exact if the last 14 are zero.\r\n  //\r\n  // Example of a result that will be incorrectly rounded:\r\n  // log[1048576](4503599627370502) = 2.60000000000000009610279511444746...\r\n  // The above result correctly rounded using ROUND_CEIL to 1 decimal place should be 2.7, but it\r\n  // will be given as 2.6 as there are 15 zeros immediately after the requested decimal place, so\r\n  // the exact result would be assumed to be 2.6, which rounded using ROUND_CEIL to 1 decimal\r\n  // place is still 2.6.\r\n  if (checkRoundingDigits(r.d, k = pr, rm)) {\r\n\r\n    do {\r\n      sd += 10;\r\n      num = naturalLogarithm(arg, sd);\r\n      denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd);\r\n      r = divide(num, denominator, sd, 1);\r\n\r\n      if (!inf) {\r\n\r\n        // Check for 14 nines from the 2nd rounding digit, as the first may be 4.\r\n        if (+digitsToString(r.d).slice(k + 1, k + 15) + 1 == 1e14) {\r\n          r = finalise(r, pr + 1, 0);\r\n        }\r\n\r\n        break;\r\n      }\r\n    } while (checkRoundingDigits(r.d, k += 10, rm));\r\n  }\r\n\r\n  external = true;\r\n\r\n  return finalise(r, pr, rm);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the maximum of the arguments and the value of this Decimal.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\nP.max = function () {\r\n  Array.prototype.push.call(arguments, this);\r\n  return maxOrMin(this.constructor, arguments, 'lt');\r\n};\r\n */\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the minimum of the arguments and the value of this Decimal.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\nP.min = function () {\r\n  Array.prototype.push.call(arguments, this);\r\n  return maxOrMin(this.constructor, arguments, 'gt');\r\n};\r\n */\r\n\r\n\r\n/*\r\n *  n - 0 = n\r\n *  n - N = N\r\n *  n - I = -I\r\n *  0 - n = -n\r\n *  0 - 0 = 0\r\n *  0 - N = N\r\n *  0 - I = -I\r\n *  N - n = N\r\n *  N - 0 = N\r\n *  N - N = N\r\n *  N - I = N\r\n *  I - n = I\r\n *  I - 0 = I\r\n *  I - N = N\r\n *  I - I = N\r\n *\r\n * Return a new Decimal whose value is the value of this Decimal minus `y`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n */\r\nP.minus = P.sub = function (y) {\r\n  var d, e, i, j, k, len, pr, rm, xd, xe, xLTy, yd,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  y = new Ctor(y);\r\n\r\n  // If either is not finite...\r\n  if (!x.d || !y.d) {\r\n\r\n    // Return NaN if either is NaN.\r\n    if (!x.s || !y.s) y = new Ctor(NaN);\r\n\r\n    // Return y negated if x is finite and y is ±Infinity.\r\n    else if (x.d) y.s = -y.s;\r\n\r\n    // Return x if y is finite and x is ±Infinity.\r\n    // Return x if both are ±Infinity with different signs.\r\n    // Return NaN if both are ±Infinity with the same sign.\r\n    else y = new Ctor(y.d || x.s !== y.s ? x : NaN);\r\n\r\n    return y;\r\n  }\r\n\r\n  // If signs differ...\r\n  if (x.s != y.s) {\r\n    y.s = -y.s;\r\n    return x.plus(y);\r\n  }\r\n\r\n  xd = x.d;\r\n  yd = y.d;\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n\r\n  // If either is zero...\r\n  if (!xd[0] || !yd[0]) {\r\n\r\n    // Return y negated if x is zero and y is non-zero.\r\n    if (yd[0]) y.s = -y.s;\r\n\r\n    // Return x if y is zero and x is non-zero.\r\n    else if (xd[0]) y = new Ctor(x);\r\n\r\n    // Return zero if both are zero.\r\n    // From IEEE 754 (2008) 6.3: 0 - 0 = -0 - -0 = -0 when rounding to -Infinity.\r\n    else return new Ctor(rm === 3 ? -0 : 0);\r\n\r\n    return external ? finalise(y, pr, rm) : y;\r\n  }\r\n\r\n  // x and y are finite, non-zero numbers with the same sign.\r\n\r\n  // Calculate base 1e7 exponents.\r\n  e = mathfloor(y.e / LOG_BASE);\r\n  xe = mathfloor(x.e / LOG_BASE);\r\n\r\n  xd = xd.slice();\r\n  k = xe - e;\r\n\r\n  // If base 1e7 exponents differ...\r\n  if (k) {\r\n    xLTy = k < 0;\r\n\r\n    if (xLTy) {\r\n      d = xd;\r\n      k = -k;\r\n      len = yd.length;\r\n    } else {\r\n      d = yd;\r\n      e = xe;\r\n      len = xd.length;\r\n    }\r\n\r\n    // Numbers with massively different exponents would result in a very high number of\r\n    // zeros needing to be prepended, but this can be avoided while still ensuring correct\r\n    // rounding by limiting the number of zeros to `Math.ceil(pr / LOG_BASE) + 2`.\r\n    i = Math.max(Math.ceil(pr / LOG_BASE), len) + 2;\r\n\r\n    if (k > i) {\r\n      k = i;\r\n      d.length = 1;\r\n    }\r\n\r\n    // Prepend zeros to equalise exponents.\r\n    d.reverse();\r\n    for (i = k; i--;) d.push(0);\r\n    d.reverse();\r\n\r\n  // Base 1e7 exponents equal.\r\n  } else {\r\n\r\n    // Check digits to determine which is the bigger number.\r\n\r\n    i = xd.length;\r\n    len = yd.length;\r\n    xLTy = i < len;\r\n    if (xLTy) len = i;\r\n\r\n    for (i = 0; i < len; i++) {\r\n      if (xd[i] != yd[i]) {\r\n        xLTy = xd[i] < yd[i];\r\n        break;\r\n      }\r\n    }\r\n\r\n    k = 0;\r\n  }\r\n\r\n  if (xLTy) {\r\n    d = xd;\r\n    xd = yd;\r\n    yd = d;\r\n    y.s = -y.s;\r\n  }\r\n\r\n  len = xd.length;\r\n\r\n  // Append zeros to `xd` if shorter.\r\n  // Don't add zeros to `yd` if shorter as subtraction only needs to start at `yd` length.\r\n  for (i = yd.length - len; i > 0; --i) xd[len++] = 0;\r\n\r\n  // Subtract yd from xd.\r\n  for (i = yd.length; i > k;) {\r\n\r\n    if (xd[--i] < yd[i]) {\r\n      for (j = i; j && xd[--j] === 0;) xd[j] = BASE - 1;\r\n      --xd[j];\r\n      xd[i] += BASE;\r\n    }\r\n\r\n    xd[i] -= yd[i];\r\n  }\r\n\r\n  // Remove trailing zeros.\r\n  for (; xd[--len] === 0;) xd.pop();\r\n\r\n  // Remove leading zeros and adjust exponent accordingly.\r\n  for (; xd[0] === 0; xd.shift()) --e;\r\n\r\n  // Zero?\r\n  if (!xd[0]) return new Ctor(rm === 3 ? -0 : 0);\r\n\r\n  y.d = xd;\r\n  y.e = getBase10Exponent(xd, e);\r\n\r\n  return external ? finalise(y, pr, rm) : y;\r\n};\r\n\r\n\r\n/*\r\n *   n % 0 =  N\r\n *   n % N =  N\r\n *   n % I =  n\r\n *   0 % n =  0\r\n *  -0 % n = -0\r\n *   0 % 0 =  N\r\n *   0 % N =  N\r\n *   0 % I =  0\r\n *   N % n =  N\r\n *   N % 0 =  N\r\n *   N % N =  N\r\n *   N % I =  N\r\n *   I % n =  N\r\n *   I % 0 =  N\r\n *   I % N =  N\r\n *   I % I =  N\r\n *\r\n * Return a new Decimal whose value is the value of this Decimal modulo `y`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * The result depends on the modulo mode.\r\n *\r\n */\r\nP.modulo = P.mod = function (y) {\r\n  var q,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  y = new Ctor(y);\r\n\r\n  // Return NaN if x is ±Infinity or NaN, or y is NaN or ±0.\r\n  if (!x.d || !y.s || y.d && !y.d[0]) return new Ctor(NaN);\r\n\r\n  // Return x if y is ±Infinity or x is ±0.\r\n  if (!y.d || x.d && !x.d[0]) {\r\n    return finalise(new Ctor(x), Ctor.precision, Ctor.rounding);\r\n  }\r\n\r\n  // Prevent rounding of intermediate calculations.\r\n  external = false;\r\n\r\n  if (Ctor.modulo == 9) {\r\n\r\n    // Euclidian division: q = sign(y) * floor(x / abs(y))\r\n    // result = x - q * y    where  0 <= result < abs(y)\r\n    q = divide(x, y.abs(), 0, 3, 1);\r\n    q.s *= y.s;\r\n  } else {\r\n    q = divide(x, y, 0, Ctor.modulo, 1);\r\n  }\r\n\r\n  q = q.times(y);\r\n\r\n  external = true;\r\n\r\n  return x.minus(q);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the natural exponential of the value of this Decimal,\r\n * i.e. the base e raised to the power the value of this Decimal, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n */\r\nP.naturalExponential = P.exp = function () {\r\n  return naturalExponential(this);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the natural logarithm of the value of this Decimal,\r\n * rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n */\r\nP.naturalLogarithm = P.ln = function () {\r\n  return naturalLogarithm(this);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal negated, i.e. as if multiplied by\r\n * -1.\r\n *\r\n */\r\nP.negated = P.neg = function () {\r\n  var x = new this.constructor(this);\r\n  x.s = -x.s;\r\n  return finalise(x);\r\n};\r\n\r\n\r\n/*\r\n *  n + 0 = n\r\n *  n + N = N\r\n *  n + I = I\r\n *  0 + n = n\r\n *  0 + 0 = 0\r\n *  0 + N = N\r\n *  0 + I = I\r\n *  N + n = N\r\n *  N + 0 = N\r\n *  N + N = N\r\n *  N + I = N\r\n *  I + n = I\r\n *  I + 0 = I\r\n *  I + N = N\r\n *  I + I = I\r\n *\r\n * Return a new Decimal whose value is the value of this Decimal plus `y`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n */\r\nP.plus = P.add = function (y) {\r\n  var carry, d, e, i, k, len, pr, rm, xd, yd,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  y = new Ctor(y);\r\n\r\n  // If either is not finite...\r\n  if (!x.d || !y.d) {\r\n\r\n    // Return NaN if either is NaN.\r\n    if (!x.s || !y.s) y = new Ctor(NaN);\r\n\r\n    // Return x if y is finite and x is ±Infinity.\r\n    // Return x if both are ±Infinity with the same sign.\r\n    // Return NaN if both are ±Infinity with different signs.\r\n    // Return y if x is finite and y is ±Infinity.\r\n    else if (!x.d) y = new Ctor(y.d || x.s === y.s ? x : NaN);\r\n\r\n    return y;\r\n  }\r\n\r\n   // If signs differ...\r\n  if (x.s != y.s) {\r\n    y.s = -y.s;\r\n    return x.minus(y);\r\n  }\r\n\r\n  xd = x.d;\r\n  yd = y.d;\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n\r\n  // If either is zero...\r\n  if (!xd[0] || !yd[0]) {\r\n\r\n    // Return x if y is zero.\r\n    // Return y if y is non-zero.\r\n    if (!yd[0]) y = new Ctor(x);\r\n\r\n    return external ? finalise(y, pr, rm) : y;\r\n  }\r\n\r\n  // x and y are finite, non-zero numbers with the same sign.\r\n\r\n  // Calculate base 1e7 exponents.\r\n  k = mathfloor(x.e / LOG_BASE);\r\n  e = mathfloor(y.e / LOG_BASE);\r\n\r\n  xd = xd.slice();\r\n  i = k - e;\r\n\r\n  // If base 1e7 exponents differ...\r\n  if (i) {\r\n\r\n    if (i < 0) {\r\n      d = xd;\r\n      i = -i;\r\n      len = yd.length;\r\n    } else {\r\n      d = yd;\r\n      e = k;\r\n      len = xd.length;\r\n    }\r\n\r\n    // Limit number of zeros prepended to max(ceil(pr / LOG_BASE), len) + 1.\r\n    k = Math.ceil(pr / LOG_BASE);\r\n    len = k > len ? k + 1 : len + 1;\r\n\r\n    if (i > len) {\r\n      i = len;\r\n      d.length = 1;\r\n    }\r\n\r\n    // Prepend zeros to equalise exponents. Note: Faster to use reverse then do unshifts.\r\n    d.reverse();\r\n    for (; i--;) d.push(0);\r\n    d.reverse();\r\n  }\r\n\r\n  len = xd.length;\r\n  i = yd.length;\r\n\r\n  // If yd is longer than xd, swap xd and yd so xd points to the longer array.\r\n  if (len - i < 0) {\r\n    i = len;\r\n    d = yd;\r\n    yd = xd;\r\n    xd = d;\r\n  }\r\n\r\n  // Only start adding at yd.length - 1 as the further digits of xd can be left as they are.\r\n  for (carry = 0; i;) {\r\n    carry = (xd[--i] = xd[i] + yd[i] + carry) / BASE | 0;\r\n    xd[i] %= BASE;\r\n  }\r\n\r\n  if (carry) {\r\n    xd.unshift(carry);\r\n    ++e;\r\n  }\r\n\r\n  // Remove trailing zeros.\r\n  // No need to check for zero, as +x + +y != 0 && -x + -y != 0\r\n  for (len = xd.length; xd[--len] == 0;) xd.pop();\r\n\r\n  y.d = xd;\r\n  y.e = getBase10Exponent(xd, e);\r\n\r\n  return external ? finalise(y, pr, rm) : y;\r\n};\r\n\r\n\r\n/*\r\n * Return the number of significant digits of the value of this Decimal.\r\n *\r\n * [z] {boolean|number} Whether to count integer-part trailing zeros: true, false, 1 or 0.\r\n *\r\n */\r\nP.precision = P.sd = function (z) {\r\n  var k,\r\n    x = this;\r\n\r\n  if (z !== void 0 && z !== !!z && z !== 1 && z !== 0) throw Error(invalidArgument + z);\r\n\r\n  if (x.d) {\r\n    k = getPrecision(x.d);\r\n    if (z && x.e + 1 > k) k = x.e + 1;\r\n  } else {\r\n    k = NaN;\r\n  }\r\n\r\n  return k;\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a whole number using\r\n * rounding mode `rounding`.\r\n *\r\n */\r\nP.round = function () {\r\n  var x = this,\r\n    Ctor = x.constructor;\r\n\r\n  return finalise(new Ctor(x), x.e + 1, Ctor.rounding);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the sine of the value in radians of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-1, 1]\r\n *\r\n * sin(x) = x - x^3/3! + x^5/5! - ...\r\n *\r\n * sin(0)         = 0\r\n * sin(-0)        = -0\r\n * sin(Infinity)  = NaN\r\n * sin(-Infinity) = NaN\r\n * sin(NaN)       = NaN\r\n *\r\n */\r\nP.sine = P.sin = function () {\r\n  var pr, rm,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (!x.isFinite()) return new Ctor(NaN);\r\n  if (x.isZero()) return new Ctor(x);\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n  Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\r\n  Ctor.rounding = 1;\r\n\r\n  x = sine(Ctor, toLessThanHalfPi(Ctor, x));\r\n\r\n  Ctor.precision = pr;\r\n  Ctor.rounding = rm;\r\n\r\n  return finalise(quadrant > 2 ? x.neg() : x, pr, rm, true);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the square root of this Decimal, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n *  sqrt(-n) =  N\r\n *  sqrt(N)  =  N\r\n *  sqrt(-I) =  N\r\n *  sqrt(I)  =  I\r\n *  sqrt(0)  =  0\r\n *  sqrt(-0) = -0\r\n *\r\n */\r\nP.squareRoot = P.sqrt = function () {\r\n  var m, n, sd, r, rep, t,\r\n    x = this,\r\n    d = x.d,\r\n    e = x.e,\r\n    s = x.s,\r\n    Ctor = x.constructor;\r\n\r\n  // Negative/NaN/Infinity/zero?\r\n  if (s !== 1 || !d || !d[0]) {\r\n    return new Ctor(!s || s < 0 && (!d || d[0]) ? NaN : d ? x : 1 / 0);\r\n  }\r\n\r\n  external = false;\r\n\r\n  // Initial estimate.\r\n  s = Math.sqrt(+x);\r\n\r\n  // Math.sqrt underflow/overflow?\r\n  // Pass x to Math.sqrt as integer, then adjust the exponent of the result.\r\n  if (s == 0 || s == 1 / 0) {\r\n    n = digitsToString(d);\r\n\r\n    if ((n.length + e) % 2 == 0) n += '0';\r\n    s = Math.sqrt(n);\r\n    e = mathfloor((e + 1) / 2) - (e < 0 || e % 2);\r\n\r\n    if (s == 1 / 0) {\r\n      n = '5e' + e;\r\n    } else {\r\n      n = s.toExponential();\r\n      n = n.slice(0, n.indexOf('e') + 1) + e;\r\n    }\r\n\r\n    r = new Ctor(n);\r\n  } else {\r\n    r = new Ctor(s.toString());\r\n  }\r\n\r\n  sd = (e = Ctor.precision) + 3;\r\n\r\n  // Newton-Raphson iteration.\r\n  for (;;) {\r\n    t = r;\r\n    r = t.plus(divide(x, t, sd + 2, 1)).times(0.5);\r\n\r\n    // TODO? Replace with for-loop and checkRoundingDigits.\r\n    if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\r\n      n = n.slice(sd - 3, sd + 1);\r\n\r\n      // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or\r\n      // 4999, i.e. approaching a rounding boundary, continue the iteration.\r\n      if (n == '9999' || !rep && n == '4999') {\r\n\r\n        // On the first iteration only, check to see if rounding up gives the exact result as the\r\n        // nines may infinitely repeat.\r\n        if (!rep) {\r\n          finalise(t, e + 1, 0);\r\n\r\n          if (t.times(t).eq(x)) {\r\n            r = t;\r\n            break;\r\n          }\r\n        }\r\n\r\n        sd += 4;\r\n        rep = 1;\r\n      } else {\r\n\r\n        // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\r\n        // If not, then there are further digits and m will be truthy.\r\n        if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\r\n\r\n          // Truncate to the first rounding digit.\r\n          finalise(r, e + 1, 1);\r\n          m = !r.times(r).eq(x);\r\n        }\r\n\r\n        break;\r\n      }\r\n    }\r\n  }\r\n\r\n  external = true;\r\n\r\n  return finalise(r, e, Ctor.rounding, m);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the tangent of the value in radians of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-Infinity, Infinity]\r\n *\r\n * tan(0)         = 0\r\n * tan(-0)        = -0\r\n * tan(Infinity)  = NaN\r\n * tan(-Infinity) = NaN\r\n * tan(NaN)       = NaN\r\n *\r\n */\r\nP.tangent = P.tan = function () {\r\n  var pr, rm,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (!x.isFinite()) return new Ctor(NaN);\r\n  if (x.isZero()) return new Ctor(x);\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n  Ctor.precision = pr + 10;\r\n  Ctor.rounding = 1;\r\n\r\n  x = x.sin();\r\n  x.s = 1;\r\n  x = divide(x, new Ctor(1).minus(x.times(x)).sqrt(), pr + 10, 0);\r\n\r\n  Ctor.precision = pr;\r\n  Ctor.rounding = rm;\r\n\r\n  return finalise(quadrant == 2 || quadrant == 4 ? x.neg() : x, pr, rm, true);\r\n};\r\n\r\n\r\n/*\r\n *  n * 0 = 0\r\n *  n * N = N\r\n *  n * I = I\r\n *  0 * n = 0\r\n *  0 * 0 = 0\r\n *  0 * N = N\r\n *  0 * I = N\r\n *  N * n = N\r\n *  N * 0 = N\r\n *  N * N = N\r\n *  N * I = N\r\n *  I * n = I\r\n *  I * 0 = N\r\n *  I * N = N\r\n *  I * I = I\r\n *\r\n * Return a new Decimal whose value is this Decimal times `y`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n */\r\nP.times = P.mul = function (y) {\r\n  var carry, e, i, k, r, rL, t, xdL, ydL,\r\n    x = this,\r\n    Ctor = x.constructor,\r\n    xd = x.d,\r\n    yd = (y = new Ctor(y)).d;\r\n\r\n  y.s *= x.s;\r\n\r\n   // If either is NaN, ±Infinity or ±0...\r\n  if (!xd || !xd[0] || !yd || !yd[0]) {\r\n\r\n    return new Ctor(!y.s || xd && !xd[0] && !yd || yd && !yd[0] && !xd\r\n\r\n      // Return NaN if either is NaN.\r\n      // Return NaN if x is ±0 and y is ±Infinity, or y is ±0 and x is ±Infinity.\r\n      ? NaN\r\n\r\n      // Return ±Infinity if either is ±Infinity.\r\n      // Return ±0 if either is ±0.\r\n      : !xd || !yd ? y.s / 0 : y.s * 0);\r\n  }\r\n\r\n  e = mathfloor(x.e / LOG_BASE) + mathfloor(y.e / LOG_BASE);\r\n  xdL = xd.length;\r\n  ydL = yd.length;\r\n\r\n  // Ensure xd points to the longer array.\r\n  if (xdL < ydL) {\r\n    r = xd;\r\n    xd = yd;\r\n    yd = r;\r\n    rL = xdL;\r\n    xdL = ydL;\r\n    ydL = rL;\r\n  }\r\n\r\n  // Initialise the result array with zeros.\r\n  r = [];\r\n  rL = xdL + ydL;\r\n  for (i = rL; i--;) r.push(0);\r\n\r\n  // Multiply!\r\n  for (i = ydL; --i >= 0;) {\r\n    carry = 0;\r\n    for (k = xdL + i; k > i;) {\r\n      t = r[k] + yd[i] * xd[k - i - 1] + carry;\r\n      r[k--] = t % BASE | 0;\r\n      carry = t / BASE | 0;\r\n    }\r\n\r\n    r[k] = (r[k] + carry) % BASE | 0;\r\n  }\r\n\r\n  // Remove trailing zeros.\r\n  for (; !r[--rL];) r.pop();\r\n\r\n  if (carry) ++e;\r\n  else r.shift();\r\n\r\n  y.d = r;\r\n  y.e = getBase10Exponent(r, e);\r\n\r\n  return external ? finalise(y, Ctor.precision, Ctor.rounding) : y;\r\n};\r\n\r\n\r\n/*\r\n * Return a string representing the value of this Decimal in base 2, round to `sd` significant\r\n * digits using rounding mode `rm`.\r\n *\r\n * If the optional `sd` argument is present then return binary exponential notation.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\r\nP.toBinary = function (sd, rm) {\r\n  return toStringBinary(this, 2, sd, rm);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a maximum of `dp`\r\n * decimal places using rounding mode `rm` or `rounding` if `rm` is omitted.\r\n *\r\n * If `dp` is omitted, return a new Decimal whose value is the value of this Decimal.\r\n *\r\n * [dp] {number} Decimal places. Integer, 0 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\r\nP.toDecimalPlaces = P.toDP = function (dp, rm) {\r\n  var x = this,\r\n    Ctor = x.constructor;\r\n\r\n  x = new Ctor(x);\r\n  if (dp === void 0) return x;\r\n\r\n  checkInt32(dp, 0, MAX_DIGITS);\r\n\r\n  if (rm === void 0) rm = Ctor.rounding;\r\n  else checkInt32(rm, 0, 8);\r\n\r\n  return finalise(x, dp + x.e + 1, rm);\r\n};\r\n\r\n\r\n/*\r\n * Return a string representing the value of this Decimal in exponential notation rounded to\r\n * `dp` fixed decimal places using rounding mode `rounding`.\r\n *\r\n * [dp] {number} Decimal places. Integer, 0 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\r\nP.toExponential = function (dp, rm) {\r\n  var str,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (dp === void 0) {\r\n    str = finiteToString(x, true);\r\n  } else {\r\n    checkInt32(dp, 0, MAX_DIGITS);\r\n\r\n    if (rm === void 0) rm = Ctor.rounding;\r\n    else checkInt32(rm, 0, 8);\r\n\r\n    x = finalise(new Ctor(x), dp + 1, rm);\r\n    str = finiteToString(x, true, dp + 1);\r\n  }\r\n\r\n  return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\n/*\r\n * Return a string representing the value of this Decimal in normal (fixed-point) notation to\r\n * `dp` fixed decimal places and rounded using rounding mode `rm` or `rounding` if `rm` is\r\n * omitted.\r\n *\r\n * As with JavaScript numbers, (-0).toFixed(0) is '0', but e.g. (-0.00001).toFixed(0) is '-0'.\r\n *\r\n * [dp] {number} Decimal places. Integer, 0 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n * (-0).toFixed(0) is '0', but (-0.1).toFixed(0) is '-0'.\r\n * (-0).toFixed(1) is '0.0', but (-0.01).toFixed(1) is '-0.0'.\r\n * (-0).toFixed(3) is '0.000'.\r\n * (-0.5).toFixed(0) is '-0'.\r\n *\r\n */\r\nP.toFixed = function (dp, rm) {\r\n  var str, y,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (dp === void 0) {\r\n    str = finiteToString(x);\r\n  } else {\r\n    checkInt32(dp, 0, MAX_DIGITS);\r\n\r\n    if (rm === void 0) rm = Ctor.rounding;\r\n    else checkInt32(rm, 0, 8);\r\n\r\n    y = finalise(new Ctor(x), dp + x.e + 1, rm);\r\n    str = finiteToString(y, false, dp + y.e + 1);\r\n  }\r\n\r\n  // To determine whether to add the minus sign look at the value before it was rounded,\r\n  // i.e. look at `x` rather than `y`.\r\n  return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\n/*\r\n * Return an array representing the value of this Decimal as a simple fraction with an integer\r\n * numerator and an integer denominator.\r\n *\r\n * The denominator will be a positive non-zero value less than or equal to the specified maximum\r\n * denominator. If a maximum denominator is not specified, the denominator will be the lowest\r\n * value necessary to represent the number exactly.\r\n *\r\n * [maxD] {number|string|Decimal} Maximum denominator. Integer >= 1 and < Infinity.\r\n *\r\n */\r\nP.toFraction = function (maxD) {\r\n  var d, d0, d1, d2, e, k, n, n0, n1, pr, q, r,\r\n    x = this,\r\n    xd = x.d,\r\n    Ctor = x.constructor;\r\n\r\n  if (!xd) return new Ctor(x);\r\n\r\n  n1 = d0 = new Ctor(1);\r\n  d1 = n0 = new Ctor(0);\r\n\r\n  d = new Ctor(d1);\r\n  e = d.e = getPrecision(xd) - x.e - 1;\r\n  k = e % LOG_BASE;\r\n  d.d[0] = mathpow(10, k < 0 ? LOG_BASE + k : k);\r\n\r\n  if (maxD == null) {\r\n\r\n    // d is 10**e, the minimum max-denominator needed.\r\n    maxD = e > 0 ? d : n1;\r\n  } else {\r\n    n = new Ctor(maxD);\r\n    if (!n.isInt() || n.lt(n1)) throw Error(invalidArgument + n);\r\n    maxD = n.gt(d) ? (e > 0 ? d : n1) : n;\r\n  }\r\n\r\n  external = false;\r\n  n = new Ctor(digitsToString(xd));\r\n  pr = Ctor.precision;\r\n  Ctor.precision = e = xd.length * LOG_BASE * 2;\r\n\r\n  for (;;)  {\r\n    q = divide(n, d, 0, 1, 1);\r\n    d2 = d0.plus(q.times(d1));\r\n    if (d2.cmp(maxD) == 1) break;\r\n    d0 = d1;\r\n    d1 = d2;\r\n    d2 = n1;\r\n    n1 = n0.plus(q.times(d2));\r\n    n0 = d2;\r\n    d2 = d;\r\n    d = n.minus(q.times(d2));\r\n    n = d2;\r\n  }\r\n\r\n  d2 = divide(maxD.minus(d0), d1, 0, 1, 1);\r\n  n0 = n0.plus(d2.times(n1));\r\n  d0 = d0.plus(d2.times(d1));\r\n  n0.s = n1.s = x.s;\r\n\r\n  // Determine which fraction is closer to x, n0/d0 or n1/d1?\r\n  r = divide(n1, d1, e, 1).minus(x).abs().cmp(divide(n0, d0, e, 1).minus(x).abs()) < 1\r\n      ? [n1, d1] : [n0, d0];\r\n\r\n  Ctor.precision = pr;\r\n  external = true;\r\n\r\n  return r;\r\n};\r\n\r\n\r\n/*\r\n * Return a string representing the value of this Decimal in base 16, round to `sd` significant\r\n * digits using rounding mode `rm`.\r\n *\r\n * If the optional `sd` argument is present then return binary exponential notation.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\r\nP.toHexadecimal = P.toHex = function (sd, rm) {\r\n  return toStringBinary(this, 16, sd, rm);\r\n};\r\n\r\n\r\n/*\r\n * Returns a new Decimal whose value is the nearest multiple of `y` in the direction of rounding\r\n * mode `rm`, or `Decimal.rounding` if `rm` is omitted, to the value of this Decimal.\r\n *\r\n * The return value will always have the same sign as this Decimal, unless either this Decimal\r\n * or `y` is NaN, in which case the return value will be also be NaN.\r\n *\r\n * The return value is not affected by the value of `precision`.\r\n *\r\n * y {number|string|Decimal} The magnitude to round to a multiple of.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n * 'toNearest() rounding mode not an integer: {rm}'\r\n * 'toNearest() rounding mode out of range: {rm}'\r\n *\r\n */\r\nP.toNearest = function (y, rm) {\r\n  var x = this,\r\n    Ctor = x.constructor;\r\n\r\n  x = new Ctor(x);\r\n\r\n  if (y == null) {\r\n\r\n    // If x is not finite, return x.\r\n    if (!x.d) return x;\r\n\r\n    y = new Ctor(1);\r\n    rm = Ctor.rounding;\r\n  } else {\r\n    y = new Ctor(y);\r\n    if (rm === void 0) {\r\n      rm = Ctor.rounding;\r\n    } else {\r\n      checkInt32(rm, 0, 8);\r\n    }\r\n\r\n    // If x is not finite, return x if y is not NaN, else NaN.\r\n    if (!x.d) return y.s ? x : y;\r\n\r\n    // If y is not finite, return Infinity with the sign of x if y is Infinity, else NaN.\r\n    if (!y.d) {\r\n      if (y.s) y.s = x.s;\r\n      return y;\r\n    }\r\n  }\r\n\r\n  // If y is not zero, calculate the nearest multiple of y to x.\r\n  if (y.d[0]) {\r\n    external = false;\r\n    x = divide(x, y, 0, rm, 1).times(y);\r\n    external = true;\r\n    finalise(x);\r\n\r\n  // If y is zero, return zero with the sign of x.\r\n  } else {\r\n    y.s = x.s;\r\n    x = y;\r\n  }\r\n\r\n  return x;\r\n};\r\n\r\n\r\n/*\r\n * Return the value of this Decimal converted to a number primitive.\r\n * Zero keeps its sign.\r\n *\r\n */\r\nP.toNumber = function () {\r\n  return +this;\r\n};\r\n\r\n\r\n/*\r\n * Return a string representing the value of this Decimal in base 8, round to `sd` significant\r\n * digits using rounding mode `rm`.\r\n *\r\n * If the optional `sd` argument is present then return binary exponential notation.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\r\nP.toOctal = function (sd, rm) {\r\n  return toStringBinary(this, 8, sd, rm);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal raised to the power `y`, rounded\r\n * to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * ECMAScript compliant.\r\n *\r\n *   pow(x, NaN)                           = NaN\r\n *   pow(x, ±0)                            = 1\r\n\r\n *   pow(NaN, non-zero)                    = NaN\r\n *   pow(abs(x) > 1, +Infinity)            = +Infinity\r\n *   pow(abs(x) > 1, -Infinity)            = +0\r\n *   pow(abs(x) == 1, ±Infinity)           = NaN\r\n *   pow(abs(x) < 1, +Infinity)            = +0\r\n *   pow(abs(x) < 1, -Infinity)            = +Infinity\r\n *   pow(+Infinity, y > 0)                 = +Infinity\r\n *   pow(+Infinity, y < 0)                 = +0\r\n *   pow(-Infinity, odd integer > 0)       = -Infinity\r\n *   pow(-Infinity, even integer > 0)      = +Infinity\r\n *   pow(-Infinity, odd integer < 0)       = -0\r\n *   pow(-Infinity, even integer < 0)      = +0\r\n *   pow(+0, y > 0)                        = +0\r\n *   pow(+0, y < 0)                        = +Infinity\r\n *   pow(-0, odd integer > 0)              = -0\r\n *   pow(-0, even integer > 0)             = +0\r\n *   pow(-0, odd integer < 0)              = -Infinity\r\n *   pow(-0, even integer < 0)             = +Infinity\r\n *   pow(finite x < 0, finite non-integer) = NaN\r\n *\r\n * For non-integer or very large exponents pow(x, y) is calculated using\r\n *\r\n *   x^y = exp(y*ln(x))\r\n *\r\n * Assuming the first 15 rounding digits are each equally likely to be any digit 0-9, the\r\n * probability of an incorrectly rounded result\r\n * P([49]9{14} | [50]0{14}) = 2 * 0.2 * 10^-14 = 4e-15 = 1/2.5e+14\r\n * i.e. 1 in 250,000,000,000,000\r\n *\r\n * If a result is incorrectly rounded the maximum error will be 1 ulp (unit in last place).\r\n *\r\n * y {number|string|Decimal} The power to which to raise this Decimal.\r\n *\r\n */\r\nP.toPower = P.pow = function (y) {\r\n  var e, k, pr, r, rm, s,\r\n    x = this,\r\n    Ctor = x.constructor,\r\n    yn = +(y = new Ctor(y));\r\n\r\n  // Either ±Infinity, NaN or ±0?\r\n  if (!x.d || !y.d || !x.d[0] || !y.d[0]) return new Ctor(mathpow(+x, yn));\r\n\r\n  x = new Ctor(x);\r\n\r\n  if (x.eq(1)) return x;\r\n\r\n  pr = Ctor.precision;\r\n  rm = Ctor.rounding;\r\n\r\n  if (y.eq(1)) return finalise(x, pr, rm);\r\n\r\n  // y exponent\r\n  e = mathfloor(y.e / LOG_BASE);\r\n\r\n  // If y is a small integer use the 'exponentiation by squaring' algorithm.\r\n  if (e >= y.d.length - 1 && (k = yn < 0 ? -yn : yn) <= MAX_SAFE_INTEGER) {\r\n    r = intPow(Ctor, x, k, pr);\r\n    return y.s < 0 ? new Ctor(1).div(r) : finalise(r, pr, rm);\r\n  }\r\n\r\n  s = x.s;\r\n\r\n  // if x is negative\r\n  if (s < 0) {\r\n\r\n    // if y is not an integer\r\n    if (e < y.d.length - 1) return new Ctor(NaN);\r\n\r\n    // Result is positive if x is negative and the last digit of integer y is even.\r\n    if ((y.d[e] & 1) == 0) s = 1;\r\n\r\n    // if x.eq(-1)\r\n    if (x.e == 0 && x.d[0] == 1 && x.d.length == 1) {\r\n      x.s = s;\r\n      return x;\r\n    }\r\n  }\r\n\r\n  // Estimate result exponent.\r\n  // x^y = 10^e,  where e = y * log10(x)\r\n  // log10(x) = log10(x_significand) + x_exponent\r\n  // log10(x_significand) = ln(x_significand) / ln(10)\r\n  k = mathpow(+x, yn);\r\n  e = k == 0 || !isFinite(k)\r\n    ? mathfloor(yn * (Math.log('0.' + digitsToString(x.d)) / Math.LN10 + x.e + 1))\r\n    : new Ctor(k + '').e;\r\n\r\n  // Exponent estimate may be incorrect e.g. x: 0.999999999999999999, y: 2.29, e: 0, r.e: -1.\r\n\r\n  // Overflow/underflow?\r\n  if (e > Ctor.maxE + 1 || e < Ctor.minE - 1) return new Ctor(e > 0 ? s / 0 : 0);\r\n\r\n  external = false;\r\n  Ctor.rounding = x.s = 1;\r\n\r\n  // Estimate the extra guard digits needed to ensure five correct rounding digits from\r\n  // naturalLogarithm(x). Example of failure without these extra digits (precision: 10):\r\n  // new Decimal(2.32456).pow('2087987436534566.46411')\r\n  // should be 1.162377823e+764914905173815, but is 1.162355823e+764914905173815\r\n  k = Math.min(12, (e + '').length);\r\n\r\n  // r = x^y = exp(y*ln(x))\r\n  r = naturalExponential(y.times(naturalLogarithm(x, pr + k)), pr);\r\n\r\n  // r may be Infinity, e.g. (0.9999999999999999).pow(-1e+40)\r\n  if (r.d) {\r\n\r\n    // Truncate to the required precision plus five rounding digits.\r\n    r = finalise(r, pr + 5, 1);\r\n\r\n    // If the rounding digits are [49]9999 or [50]0000 increase the precision by 10 and recalculate\r\n    // the result.\r\n    if (checkRoundingDigits(r.d, pr, rm)) {\r\n      e = pr + 10;\r\n\r\n      // Truncate to the increased precision plus five rounding digits.\r\n      r = finalise(naturalExponential(y.times(naturalLogarithm(x, e + k)), e), e + 5, 1);\r\n\r\n      // Check for 14 nines from the 2nd rounding digit (the first rounding digit may be 4 or 9).\r\n      if (+digitsToString(r.d).slice(pr + 1, pr + 15) + 1 == 1e14) {\r\n        r = finalise(r, pr + 1, 0);\r\n      }\r\n    }\r\n  }\r\n\r\n  r.s = s;\r\n  external = true;\r\n  Ctor.rounding = rm;\r\n\r\n  return finalise(r, pr, rm);\r\n};\r\n\r\n\r\n/*\r\n * Return a string representing the value of this Decimal rounded to `sd` significant digits\r\n * using rounding mode `rounding`.\r\n *\r\n * Return exponential notation if `sd` is less than the number of digits necessary to represent\r\n * the integer part of the value in normal notation.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\r\nP.toPrecision = function (sd, rm) {\r\n  var str,\r\n    x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (sd === void 0) {\r\n    str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\r\n  } else {\r\n    checkInt32(sd, 1, MAX_DIGITS);\r\n\r\n    if (rm === void 0) rm = Ctor.rounding;\r\n    else checkInt32(rm, 0, 8);\r\n\r\n    x = finalise(new Ctor(x), sd, rm);\r\n    str = finiteToString(x, sd <= x.e || x.e <= Ctor.toExpNeg, sd);\r\n  }\r\n\r\n  return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a maximum of `sd`\r\n * significant digits using rounding mode `rm`, or to `precision` and `rounding` respectively if\r\n * omitted.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n * 'toSD() digits out of range: {sd}'\r\n * 'toSD() digits not an integer: {sd}'\r\n * 'toSD() rounding mode not an integer: {rm}'\r\n * 'toSD() rounding mode out of range: {rm}'\r\n *\r\n */\r\nP.toSignificantDigits = P.toSD = function (sd, rm) {\r\n  var x = this,\r\n    Ctor = x.constructor;\r\n\r\n  if (sd === void 0) {\r\n    sd = Ctor.precision;\r\n    rm = Ctor.rounding;\r\n  } else {\r\n    checkInt32(sd, 1, MAX_DIGITS);\r\n\r\n    if (rm === void 0) rm = Ctor.rounding;\r\n    else checkInt32(rm, 0, 8);\r\n  }\r\n\r\n  return finalise(new Ctor(x), sd, rm);\r\n};\r\n\r\n\r\n/*\r\n * Return a string representing the value of this Decimal.\r\n *\r\n * Return exponential notation if this Decimal has a positive exponent equal to or greater than\r\n * `toExpPos`, or a negative exponent equal to or less than `toExpNeg`.\r\n *\r\n */\r\nP.toString = function () {\r\n  var x = this,\r\n    Ctor = x.constructor,\r\n    str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\r\n\r\n  return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal truncated to a whole number.\r\n *\r\n */\r\nP.truncated = P.trunc = function () {\r\n  return finalise(new this.constructor(this), this.e + 1, 1);\r\n};\r\n\r\n\r\n/*\r\n * Return a string representing the value of this Decimal.\r\n * Unlike `toString`, negative zero will include the minus sign.\r\n *\r\n */\r\nP.valueOf = P.toJSON = function () {\r\n  var x = this,\r\n    Ctor = x.constructor,\r\n    str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\r\n\r\n  return x.isNeg() ? '-' + str : str;\r\n};\r\n\r\n\r\n// Helper functions for Decimal.prototype (P) and/or Decimal methods, and their callers.\r\n\r\n\r\n/*\r\n *  digitsToString           P.cubeRoot, P.logarithm, P.squareRoot, P.toFraction, P.toPower,\r\n *                           finiteToString, naturalExponential, naturalLogarithm\r\n *  checkInt32               P.toDecimalPlaces, P.toExponential, P.toFixed, P.toNearest,\r\n *                           P.toPrecision, P.toSignificantDigits, toStringBinary, random\r\n *  checkRoundingDigits      P.logarithm, P.toPower, naturalExponential, naturalLogarithm\r\n *  convertBase              toStringBinary, parseOther\r\n *  cos                      P.cos\r\n *  divide                   P.atanh, P.cubeRoot, P.dividedBy, P.dividedToIntegerBy,\r\n *                           P.logarithm, P.modulo, P.squareRoot, P.tan, P.tanh, P.toFraction,\r\n *                           P.toNearest, toStringBinary, naturalExponential, naturalLogarithm,\r\n *                           taylorSeries, atan2, parseOther\r\n *  finalise                 P.absoluteValue, P.atan, P.atanh, P.ceil, P.cos, P.cosh,\r\n *                           P.cubeRoot, P.dividedToIntegerBy, P.floor, P.logarithm, P.minus,\r\n *                           P.modulo, P.negated, P.plus, P.round, P.sin, P.sinh, P.squareRoot,\r\n *                           P.tan, P.times, P.toDecimalPlaces, P.toExponential, P.toFixed,\r\n *                           P.toNearest, P.toPower, P.toPrecision, P.toSignificantDigits,\r\n *                           P.truncated, divide, getLn10, getPi, naturalExponential,\r\n *                           naturalLogarithm, ceil, floor, round, trunc\r\n *  finiteToString           P.toExponential, P.toFixed, P.toPrecision, P.toString, P.valueOf,\r\n *                           toStringBinary\r\n *  getBase10Exponent        P.minus, P.plus, P.times, parseOther\r\n *  getLn10                  P.logarithm, naturalLogarithm\r\n *  getPi                    P.acos, P.asin, P.atan, toLessThanHalfPi, atan2\r\n *  getPrecision             P.precision, P.toFraction\r\n *  getZeroString            digitsToString, finiteToString\r\n *  intPow                   P.toPower, parseOther\r\n *  isOdd                    toLessThanHalfPi\r\n *  maxOrMin                 max, min\r\n *  naturalExponential       P.naturalExponential, P.toPower\r\n *  naturalLogarithm         P.acosh, P.asinh, P.atanh, P.logarithm, P.naturalLogarithm,\r\n *                           P.toPower, naturalExponential\r\n *  nonFiniteToString        finiteToString, toStringBinary\r\n *  parseDecimal             Decimal\r\n *  parseOther               Decimal\r\n *  sin                      P.sin\r\n *  taylorSeries             P.cosh, P.sinh, cos, sin\r\n *  toLessThanHalfPi         P.cos, P.sin\r\n *  toStringBinary           P.toBinary, P.toHexadecimal, P.toOctal\r\n *  truncate                 intPow\r\n *\r\n *  Throws:                  P.logarithm, P.precision, P.toFraction, checkInt32, getLn10, getPi,\r\n *                           naturalLogarithm, config, parseOther, random, Decimal\r\n */\r\n\r\n\r\nfunction digitsToString(d) {\r\n  var i, k, ws,\r\n    indexOfLastWord = d.length - 1,\r\n    str = '',\r\n    w = d[0];\r\n\r\n  if (indexOfLastWord > 0) {\r\n    str += w;\r\n    for (i = 1; i < indexOfLastWord; i++) {\r\n      ws = d[i] + '';\r\n      k = LOG_BASE - ws.length;\r\n      if (k) str += getZeroString(k);\r\n      str += ws;\r\n    }\r\n\r\n    w = d[i];\r\n    ws = w + '';\r\n    k = LOG_BASE - ws.length;\r\n    if (k) str += getZeroString(k);\r\n  } else if (w === 0) {\r\n    return '0';\r\n  }\r\n\r\n  // Remove trailing zeros of last w.\r\n  for (; w % 10 === 0;) w /= 10;\r\n\r\n  return str + w;\r\n}\r\n\r\n\r\nfunction checkInt32(i, min, max) {\r\n  if (i !== ~~i || i < min || i > max) {\r\n    throw Error(invalidArgument + i);\r\n  }\r\n}\r\n\r\n\r\n/*\r\n * Check 5 rounding digits if `repeating` is null, 4 otherwise.\r\n * `repeating == null` if caller is `log` or `pow`,\r\n * `repeating != null` if caller is `naturalLogarithm` or `naturalExponential`.\r\n */\r\nfunction checkRoundingDigits(d, i, rm, repeating) {\r\n  var di, k, r, rd;\r\n\r\n  // Get the length of the first word of the array d.\r\n  for (k = d[0]; k >= 10; k /= 10) --i;\r\n\r\n  // Is the rounding digit in the first word of d?\r\n  if (--i < 0) {\r\n    i += LOG_BASE;\r\n    di = 0;\r\n  } else {\r\n    di = Math.ceil((i + 1) / LOG_BASE);\r\n    i %= LOG_BASE;\r\n  }\r\n\r\n  // i is the index (0 - 6) of the rounding digit.\r\n  // E.g. if within the word 3487563 the first rounding digit is 5,\r\n  // then i = 4, k = 1000, rd = 3487563 % 1000 = 563\r\n  k = mathpow(10, LOG_BASE - i);\r\n  rd = d[di] % k | 0;\r\n\r\n  if (repeating == null) {\r\n    if (i < 3) {\r\n      if (i == 0) rd = rd / 100 | 0;\r\n      else if (i == 1) rd = rd / 10 | 0;\r\n      r = rm < 4 && rd == 99999 || rm > 3 && rd == 49999 || rd == 50000 || rd == 0;\r\n    } else {\r\n      r = (rm < 4 && rd + 1 == k || rm > 3 && rd + 1 == k / 2) &&\r\n        (d[di + 1] / k / 100 | 0) == mathpow(10, i - 2) - 1 ||\r\n          (rd == k / 2 || rd == 0) && (d[di + 1] / k / 100 | 0) == 0;\r\n    }\r\n  } else {\r\n    if (i < 4) {\r\n      if (i == 0) rd = rd / 1000 | 0;\r\n      else if (i == 1) rd = rd / 100 | 0;\r\n      else if (i == 2) rd = rd / 10 | 0;\r\n      r = (repeating || rm < 4) && rd == 9999 || !repeating && rm > 3 && rd == 4999;\r\n    } else {\r\n      r = ((repeating || rm < 4) && rd + 1 == k ||\r\n      (!repeating && rm > 3) && rd + 1 == k / 2) &&\r\n        (d[di + 1] / k / 1000 | 0) == mathpow(10, i - 3) - 1;\r\n    }\r\n  }\r\n\r\n  return r;\r\n}\r\n\r\n\r\n// Convert string of `baseIn` to an array of numbers of `baseOut`.\r\n// Eg. convertBase('255', 10, 16) returns [15, 15].\r\n// Eg. convertBase('ff', 16, 10) returns [2, 5, 5].\r\nfunction convertBase(str, baseIn, baseOut) {\r\n  var j,\r\n    arr = [0],\r\n    arrL,\r\n    i = 0,\r\n    strL = str.length;\r\n\r\n  for (; i < strL;) {\r\n    for (arrL = arr.length; arrL--;) arr[arrL] *= baseIn;\r\n    arr[0] += NUMERALS.indexOf(str.charAt(i++));\r\n    for (j = 0; j < arr.length; j++) {\r\n      if (arr[j] > baseOut - 1) {\r\n        if (arr[j + 1] === void 0) arr[j + 1] = 0;\r\n        arr[j + 1] += arr[j] / baseOut | 0;\r\n        arr[j] %= baseOut;\r\n      }\r\n    }\r\n  }\r\n\r\n  return arr.reverse();\r\n}\r\n\r\n\r\n/*\r\n * cos(x) = 1 - x^2/2! + x^4/4! - ...\r\n * |x| < pi/2\r\n *\r\n */\r\nfunction cosine(Ctor, x) {\r\n  var k, len, y;\r\n\r\n  if (x.isZero()) return x;\r\n\r\n  // Argument reduction: cos(4x) = 8*(cos^4(x) - cos^2(x)) + 1\r\n  // i.e. cos(x) = 8*(cos^4(x/4) - cos^2(x/4)) + 1\r\n\r\n  // Estimate the optimum number of times to use the argument reduction.\r\n  len = x.d.length;\r\n  if (len < 32) {\r\n    k = Math.ceil(len / 3);\r\n    y = (1 / tinyPow(4, k)).toString();\r\n  } else {\r\n    k = 16;\r\n    y = '2.3283064365386962890625e-10';\r\n  }\r\n\r\n  Ctor.precision += k;\r\n\r\n  x = taylorSeries(Ctor, 1, x.times(y), new Ctor(1));\r\n\r\n  // Reverse argument reduction\r\n  for (var i = k; i--;) {\r\n    var cos2x = x.times(x);\r\n    x = cos2x.times(cos2x).minus(cos2x).times(8).plus(1);\r\n  }\r\n\r\n  Ctor.precision -= k;\r\n\r\n  return x;\r\n}\r\n\r\n\r\n/*\r\n * Perform division in the specified base.\r\n */\r\nvar divide = (function () {\r\n\r\n  // Assumes non-zero x and k, and hence non-zero result.\r\n  function multiplyInteger(x, k, base) {\r\n    var temp,\r\n      carry = 0,\r\n      i = x.length;\r\n\r\n    for (x = x.slice(); i--;) {\r\n      temp = x[i] * k + carry;\r\n      x[i] = temp % base | 0;\r\n      carry = temp / base | 0;\r\n    }\r\n\r\n    if (carry) x.unshift(carry);\r\n\r\n    return x;\r\n  }\r\n\r\n  function compare(a, b, aL, bL) {\r\n    var i, r;\r\n\r\n    if (aL != bL) {\r\n      r = aL > bL ? 1 : -1;\r\n    } else {\r\n      for (i = r = 0; i < aL; i++) {\r\n        if (a[i] != b[i]) {\r\n          r = a[i] > b[i] ? 1 : -1;\r\n          break;\r\n        }\r\n      }\r\n    }\r\n\r\n    return r;\r\n  }\r\n\r\n  function subtract(a, b, aL, base) {\r\n    var i = 0;\r\n\r\n    // Subtract b from a.\r\n    for (; aL--;) {\r\n      a[aL] -= i;\r\n      i = a[aL] < b[aL] ? 1 : 0;\r\n      a[aL] = i * base + a[aL] - b[aL];\r\n    }\r\n\r\n    // Remove leading zeros.\r\n    for (; !a[0] && a.length > 1;) a.shift();\r\n  }\r\n\r\n  return function (x, y, pr, rm, dp, base) {\r\n    var cmp, e, i, k, logBase, more, prod, prodL, q, qd, rem, remL, rem0, sd, t, xi, xL, yd0,\r\n      yL, yz,\r\n      Ctor = x.constructor,\r\n      sign = x.s == y.s ? 1 : -1,\r\n      xd = x.d,\r\n      yd = y.d;\r\n\r\n    // Either NaN, Infinity or 0?\r\n    if (!xd || !xd[0] || !yd || !yd[0]) {\r\n\r\n      return new Ctor(// Return NaN if either NaN, or both Infinity or 0.\r\n        !x.s || !y.s || (xd ? yd && xd[0] == yd[0] : !yd) ? NaN :\r\n\r\n        // Return ±0 if x is 0 or y is ±Infinity, or return ±Infinity as y is 0.\r\n        xd && xd[0] == 0 || !yd ? sign * 0 : sign / 0);\r\n    }\r\n\r\n    if (base) {\r\n      logBase = 1;\r\n      e = x.e - y.e;\r\n    } else {\r\n      base = BASE;\r\n      logBase = LOG_BASE;\r\n      e = mathfloor(x.e / logBase) - mathfloor(y.e / logBase);\r\n    }\r\n\r\n    yL = yd.length;\r\n    xL = xd.length;\r\n    q = new Ctor(sign);\r\n    qd = q.d = [];\r\n\r\n    // Result exponent may be one less than e.\r\n    // The digit array of a Decimal from toStringBinary may have trailing zeros.\r\n    for (i = 0; yd[i] == (xd[i] || 0); i++);\r\n\r\n    if (yd[i] > (xd[i] || 0)) e--;\r\n\r\n    if (pr == null) {\r\n      sd = pr = Ctor.precision;\r\n      rm = Ctor.rounding;\r\n    } else if (dp) {\r\n      sd = pr + (x.e - y.e) + 1;\r\n    } else {\r\n      sd = pr;\r\n    }\r\n\r\n    if (sd < 0) {\r\n      qd.push(1);\r\n      more = true;\r\n    } else {\r\n\r\n      // Convert precision in number of base 10 digits to base 1e7 digits.\r\n      sd = sd / logBase + 2 | 0;\r\n      i = 0;\r\n\r\n      // divisor < 1e7\r\n      if (yL == 1) {\r\n        k = 0;\r\n        yd = yd[0];\r\n        sd++;\r\n\r\n        // k is the carry.\r\n        for (; (i < xL || k) && sd--; i++) {\r\n          t = k * base + (xd[i] || 0);\r\n          qd[i] = t / yd | 0;\r\n          k = t % yd | 0;\r\n        }\r\n\r\n        more = k || i < xL;\r\n\r\n      // divisor >= 1e7\r\n      } else {\r\n\r\n        // Normalise xd and yd so highest order digit of yd is >= base/2\r\n        k = base / (yd[0] + 1) | 0;\r\n\r\n        if (k > 1) {\r\n          yd = multiplyInteger(yd, k, base);\r\n          xd = multiplyInteger(xd, k, base);\r\n          yL = yd.length;\r\n          xL = xd.length;\r\n        }\r\n\r\n        xi = yL;\r\n        rem = xd.slice(0, yL);\r\n        remL = rem.length;\r\n\r\n        // Add zeros to make remainder as long as divisor.\r\n        for (; remL < yL;) rem[remL++] = 0;\r\n\r\n        yz = yd.slice();\r\n        yz.unshift(0);\r\n        yd0 = yd[0];\r\n\r\n        if (yd[1] >= base / 2) ++yd0;\r\n\r\n        do {\r\n          k = 0;\r\n\r\n          // Compare divisor and remainder.\r\n          cmp = compare(yd, rem, yL, remL);\r\n\r\n          // If divisor < remainder.\r\n          if (cmp < 0) {\r\n\r\n            // Calculate trial digit, k.\r\n            rem0 = rem[0];\r\n            if (yL != remL) rem0 = rem0 * base + (rem[1] || 0);\r\n\r\n            // k will be how many times the divisor goes into the current remainder.\r\n            k = rem0 / yd0 | 0;\r\n\r\n            //  Algorithm:\r\n            //  1. product = divisor * trial digit (k)\r\n            //  2. if product > remainder: product -= divisor, k--\r\n            //  3. remainder -= product\r\n            //  4. if product was < remainder at 2:\r\n            //    5. compare new remainder and divisor\r\n            //    6. If remainder > divisor: remainder -= divisor, k++\r\n\r\n            if (k > 1) {\r\n              if (k >= base) k = base - 1;\r\n\r\n              // product = divisor * trial digit.\r\n              prod = multiplyInteger(yd, k, base);\r\n              prodL = prod.length;\r\n              remL = rem.length;\r\n\r\n              // Compare product and remainder.\r\n              cmp = compare(prod, rem, prodL, remL);\r\n\r\n              // product > remainder.\r\n              if (cmp == 1) {\r\n                k--;\r\n\r\n                // Subtract divisor from product.\r\n                subtract(prod, yL < prodL ? yz : yd, prodL, base);\r\n              }\r\n            } else {\r\n\r\n              // cmp is -1.\r\n              // If k is 0, there is no need to compare yd and rem again below, so change cmp to 1\r\n              // to avoid it. If k is 1 there is a need to compare yd and rem again below.\r\n              if (k == 0) cmp = k = 1;\r\n              prod = yd.slice();\r\n            }\r\n\r\n            prodL = prod.length;\r\n            if (prodL < remL) prod.unshift(0);\r\n\r\n            // Subtract product from remainder.\r\n            subtract(rem, prod, remL, base);\r\n\r\n            // If product was < previous remainder.\r\n            if (cmp == -1) {\r\n              remL = rem.length;\r\n\r\n              // Compare divisor and new remainder.\r\n              cmp = compare(yd, rem, yL, remL);\r\n\r\n              // If divisor < new remainder, subtract divisor from remainder.\r\n              if (cmp < 1) {\r\n                k++;\r\n\r\n                // Subtract divisor from remainder.\r\n                subtract(rem, yL < remL ? yz : yd, remL, base);\r\n              }\r\n            }\r\n\r\n            remL = rem.length;\r\n          } else if (cmp === 0) {\r\n            k++;\r\n            rem = [0];\r\n          }    // if cmp === 1, k will be 0\r\n\r\n          // Add the next digit, k, to the result array.\r\n          qd[i++] = k;\r\n\r\n          // Update the remainder.\r\n          if (cmp && rem[0]) {\r\n            rem[remL++] = xd[xi] || 0;\r\n          } else {\r\n            rem = [xd[xi]];\r\n            remL = 1;\r\n          }\r\n\r\n        } while ((xi++ < xL || rem[0] !== void 0) && sd--);\r\n\r\n        more = rem[0] !== void 0;\r\n      }\r\n\r\n      // Leading zero?\r\n      if (!qd[0]) qd.shift();\r\n    }\r\n\r\n    // logBase is 1 when divide is being used for base conversion.\r\n    if (logBase == 1) {\r\n      q.e = e;\r\n      inexact = more;\r\n    } else {\r\n\r\n      // To calculate q.e, first get the number of digits of qd[0].\r\n      for (i = 1, k = qd[0]; k >= 10; k /= 10) i++;\r\n      q.e = i + e * logBase - 1;\r\n\r\n      finalise(q, dp ? pr + q.e + 1 : pr, rm, more);\r\n    }\r\n\r\n    return q;\r\n  };\r\n})();\r\n\r\n\r\n/*\r\n * Round `x` to `sd` significant digits using rounding mode `rm`.\r\n * Check for over/under-flow.\r\n */\r\n function finalise(x, sd, rm, isTruncated) {\r\n  var digits, i, j, k, rd, roundUp, w, xd, xdi,\r\n    Ctor = x.constructor;\r\n\r\n  // Don't round if sd is null or undefined.\r\n  out: if (sd != null) {\r\n    xd = x.d;\r\n\r\n    // Infinity/NaN.\r\n    if (!xd) return x;\r\n\r\n    // rd: the rounding digit, i.e. the digit after the digit that may be rounded up.\r\n    // w: the word of xd containing rd, a base 1e7 number.\r\n    // xdi: the index of w within xd.\r\n    // digits: the number of digits of w.\r\n    // i: what would be the index of rd within w if all the numbers were 7 digits long (i.e. if\r\n    // they had leading zeros)\r\n    // j: if > 0, the actual index of rd within w (if < 0, rd is a leading zero).\r\n\r\n    // Get the length of the first word of the digits array xd.\r\n    for (digits = 1, k = xd[0]; k >= 10; k /= 10) digits++;\r\n    i = sd - digits;\r\n\r\n    // Is the rounding digit in the first word of xd?\r\n    if (i < 0) {\r\n      i += LOG_BASE;\r\n      j = sd;\r\n      w = xd[xdi = 0];\r\n\r\n      // Get the rounding digit at index j of w.\r\n      rd = w / mathpow(10, digits - j - 1) % 10 | 0;\r\n    } else {\r\n      xdi = Math.ceil((i + 1) / LOG_BASE);\r\n      k = xd.length;\r\n      if (xdi >= k) {\r\n        if (isTruncated) {\r\n\r\n          // Needed by `naturalExponential`, `naturalLogarithm` and `squareRoot`.\r\n          for (; k++ <= xdi;) xd.push(0);\r\n          w = rd = 0;\r\n          digits = 1;\r\n          i %= LOG_BASE;\r\n          j = i - LOG_BASE + 1;\r\n        } else {\r\n          break out;\r\n        }\r\n      } else {\r\n        w = k = xd[xdi];\r\n\r\n        // Get the number of digits of w.\r\n        for (digits = 1; k >= 10; k /= 10) digits++;\r\n\r\n        // Get the index of rd within w.\r\n        i %= LOG_BASE;\r\n\r\n        // Get the index of rd within w, adjusted for leading zeros.\r\n        // The number of leading zeros of w is given by LOG_BASE - digits.\r\n        j = i - LOG_BASE + digits;\r\n\r\n        // Get the rounding digit at index j of w.\r\n        rd = j < 0 ? 0 : w / mathpow(10, digits - j - 1) % 10 | 0;\r\n      }\r\n    }\r\n\r\n    // Are there any non-zero digits after the rounding digit?\r\n    isTruncated = isTruncated || sd < 0 ||\r\n      xd[xdi + 1] !== void 0 || (j < 0 ? w : w % mathpow(10, digits - j - 1));\r\n\r\n    // The expression `w % mathpow(10, digits - j - 1)` returns all the digits of w to the right\r\n    // of the digit at (left-to-right) index j, e.g. if w is 908714 and j is 2, the expression\r\n    // will give 714.\r\n\r\n    roundUp = rm < 4\r\n      ? (rd || isTruncated) && (rm == 0 || rm == (x.s < 0 ? 3 : 2))\r\n      : rd > 5 || rd == 5 && (rm == 4 || isTruncated || rm == 6 &&\r\n\r\n        // Check whether the digit to the left of the rounding digit is odd.\r\n        ((i > 0 ? j > 0 ? w / mathpow(10, digits - j) : 0 : xd[xdi - 1]) % 10) & 1 ||\r\n          rm == (x.s < 0 ? 8 : 7));\r\n\r\n    if (sd < 1 || !xd[0]) {\r\n      xd.length = 0;\r\n      if (roundUp) {\r\n\r\n        // Convert sd to decimal places.\r\n        sd -= x.e + 1;\r\n\r\n        // 1, 0.1, 0.01, 0.001, 0.0001 etc.\r\n        xd[0] = mathpow(10, (LOG_BASE - sd % LOG_BASE) % LOG_BASE);\r\n        x.e = -sd || 0;\r\n      } else {\r\n\r\n        // Zero.\r\n        xd[0] = x.e = 0;\r\n      }\r\n\r\n      return x;\r\n    }\r\n\r\n    // Remove excess digits.\r\n    if (i == 0) {\r\n      xd.length = xdi;\r\n      k = 1;\r\n      xdi--;\r\n    } else {\r\n      xd.length = xdi + 1;\r\n      k = mathpow(10, LOG_BASE - i);\r\n\r\n      // E.g. 56700 becomes 56000 if 7 is the rounding digit.\r\n      // j > 0 means i > number of leading zeros of w.\r\n      xd[xdi] = j > 0 ? (w / mathpow(10, digits - j) % mathpow(10, j) | 0) * k : 0;\r\n    }\r\n\r\n    if (roundUp) {\r\n      for (;;) {\r\n\r\n        // Is the digit to be rounded up in the first word of xd?\r\n        if (xdi == 0) {\r\n\r\n          // i will be the length of xd[0] before k is added.\r\n          for (i = 1, j = xd[0]; j >= 10; j /= 10) i++;\r\n          j = xd[0] += k;\r\n          for (k = 1; j >= 10; j /= 10) k++;\r\n\r\n          // if i != k the length has increased.\r\n          if (i != k) {\r\n            x.e++;\r\n            if (xd[0] == BASE) xd[0] = 1;\r\n          }\r\n\r\n          break;\r\n        } else {\r\n          xd[xdi] += k;\r\n          if (xd[xdi] != BASE) break;\r\n          xd[xdi--] = 0;\r\n          k = 1;\r\n        }\r\n      }\r\n    }\r\n\r\n    // Remove trailing zeros.\r\n    for (i = xd.length; xd[--i] === 0;) xd.pop();\r\n  }\r\n\r\n  if (external) {\r\n\r\n    // Overflow?\r\n    if (x.e > Ctor.maxE) {\r\n\r\n      // Infinity.\r\n      x.d = null;\r\n      x.e = NaN;\r\n\r\n    // Underflow?\r\n    } else if (x.e < Ctor.minE) {\r\n\r\n      // Zero.\r\n      x.e = 0;\r\n      x.d = [0];\r\n      // Ctor.underflow = true;\r\n    } // else Ctor.underflow = false;\r\n  }\r\n\r\n  return x;\r\n}\r\n\r\n\r\nfunction finiteToString(x, isExp, sd) {\r\n  if (!x.isFinite()) return nonFiniteToString(x);\r\n  var k,\r\n    e = x.e,\r\n    str = digitsToString(x.d),\r\n    len = str.length;\r\n\r\n  if (isExp) {\r\n    if (sd && (k = sd - len) > 0) {\r\n      str = str.charAt(0) + '.' + str.slice(1) + getZeroString(k);\r\n    } else if (len > 1) {\r\n      str = str.charAt(0) + '.' + str.slice(1);\r\n    }\r\n\r\n    str = str + (x.e < 0 ? 'e' : 'e+') + x.e;\r\n  } else if (e < 0) {\r\n    str = '0.' + getZeroString(-e - 1) + str;\r\n    if (sd && (k = sd - len) > 0) str += getZeroString(k);\r\n  } else if (e >= len) {\r\n    str += getZeroString(e + 1 - len);\r\n    if (sd && (k = sd - e - 1) > 0) str = str + '.' + getZeroString(k);\r\n  } else {\r\n    if ((k = e + 1) < len) str = str.slice(0, k) + '.' + str.slice(k);\r\n    if (sd && (k = sd - len) > 0) {\r\n      if (e + 1 === len) str += '.';\r\n      str += getZeroString(k);\r\n    }\r\n  }\r\n\r\n  return str;\r\n}\r\n\r\n\r\n// Calculate the base 10 exponent from the base 1e7 exponent.\r\nfunction getBase10Exponent(digits, e) {\r\n  var w = digits[0];\r\n\r\n  // Add the number of digits of the first word of the digits array.\r\n  for ( e *= LOG_BASE; w >= 10; w /= 10) e++;\r\n  return e;\r\n}\r\n\r\n\r\nfunction getLn10(Ctor, sd, pr) {\r\n  if (sd > LN10_PRECISION) {\r\n\r\n    // Reset global state in case the exception is caught.\r\n    external = true;\r\n    if (pr) Ctor.precision = pr;\r\n    throw Error(precisionLimitExceeded);\r\n  }\r\n  return finalise(new Ctor(LN10), sd, 1, true);\r\n}\r\n\r\n\r\nfunction getPi(Ctor, sd, rm) {\r\n  if (sd > PI_PRECISION) throw Error(precisionLimitExceeded);\r\n  return finalise(new Ctor(PI), sd, rm, true);\r\n}\r\n\r\n\r\nfunction getPrecision(digits) {\r\n  var w = digits.length - 1,\r\n    len = w * LOG_BASE + 1;\r\n\r\n  w = digits[w];\r\n\r\n  // If non-zero...\r\n  if (w) {\r\n\r\n    // Subtract the number of trailing zeros of the last word.\r\n    for (; w % 10 == 0; w /= 10) len--;\r\n\r\n    // Add the number of digits of the first word.\r\n    for (w = digits[0]; w >= 10; w /= 10) len++;\r\n  }\r\n\r\n  return len;\r\n}\r\n\r\n\r\nfunction getZeroString(k) {\r\n  var zs = '';\r\n  for (; k--;) zs += '0';\r\n  return zs;\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of Decimal `x` to the power `n`, where `n` is an\r\n * integer of type number.\r\n *\r\n * Implements 'exponentiation by squaring'. Called by `pow` and `parseOther`.\r\n *\r\n */\r\nfunction intPow(Ctor, x, n, pr) {\r\n  var isTruncated,\r\n    r = new Ctor(1),\r\n\r\n    // Max n of 9007199254740991 takes 53 loop iterations.\r\n    // Maximum digits array length; leaves [28, 34] guard digits.\r\n    k = Math.ceil(pr / LOG_BASE + 4);\r\n\r\n  external = false;\r\n\r\n  for (;;) {\r\n    if (n % 2) {\r\n      r = r.times(x);\r\n      if (truncate(r.d, k)) isTruncated = true;\r\n    }\r\n\r\n    n = mathfloor(n / 2);\r\n    if (n === 0) {\r\n\r\n      // To ensure correct rounding when r.d is truncated, increment the last word if it is zero.\r\n      n = r.d.length - 1;\r\n      if (isTruncated && r.d[n] === 0) ++r.d[n];\r\n      break;\r\n    }\r\n\r\n    x = x.times(x);\r\n    truncate(x.d, k);\r\n  }\r\n\r\n  external = true;\r\n\r\n  return r;\r\n}\r\n\r\n\r\nfunction isOdd(n) {\r\n  return n.d[n.d.length - 1] & 1;\r\n}\r\n\r\n\r\n/*\r\n * Handle `max` and `min`. `ltgt` is 'lt' or 'gt'.\r\n */\r\nfunction maxOrMin(Ctor, args, ltgt) {\r\n  var y,\r\n    x = new Ctor(args[0]),\r\n    i = 0;\r\n\r\n  for (; ++i < args.length;) {\r\n    y = new Ctor(args[i]);\r\n    if (!y.s) {\r\n      x = y;\r\n      break;\r\n    } else if (x[ltgt](y)) {\r\n      x = y;\r\n    }\r\n  }\r\n\r\n  return x;\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the natural exponential of `x` rounded to `sd` significant\r\n * digits.\r\n *\r\n * Taylor/Maclaurin series.\r\n *\r\n * exp(x) = x^0/0! + x^1/1! + x^2/2! + x^3/3! + ...\r\n *\r\n * Argument reduction:\r\n *   Repeat x = x / 32, k += 5, until |x| < 0.1\r\n *   exp(x) = exp(x / 2^k)^(2^k)\r\n *\r\n * Previously, the argument was initially reduced by\r\n * exp(x) = exp(r) * 10^k  where r = x - k * ln10, k = floor(x / ln10)\r\n * to first put r in the range [0, ln10], before dividing by 32 until |x| < 0.1, but this was\r\n * found to be slower than just dividing repeatedly by 32 as above.\r\n *\r\n * Max integer argument: exp('20723265836946413') = 6.3e+9000000000000000\r\n * Min integer argument: exp('-20723265836946411') = 1.2e-9000000000000000\r\n * (Math object integer min/max: Math.exp(709) = 8.2e+307, Math.exp(-745) = 5e-324)\r\n *\r\n *  exp(Infinity)  = Infinity\r\n *  exp(-Infinity) = 0\r\n *  exp(NaN)       = NaN\r\n *  exp(±0)        = 1\r\n *\r\n *  exp(x) is non-terminating for any finite, non-zero x.\r\n *\r\n *  The result will always be correctly rounded.\r\n *\r\n */\r\nfunction naturalExponential(x, sd) {\r\n  var denominator, guard, j, pow, sum, t, wpr,\r\n    rep = 0,\r\n    i = 0,\r\n    k = 0,\r\n    Ctor = x.constructor,\r\n    rm = Ctor.rounding,\r\n    pr = Ctor.precision;\r\n\r\n  // 0/NaN/Infinity?\r\n  if (!x.d || !x.d[0] || x.e > 17) {\r\n\r\n    return new Ctor(x.d\r\n      ? !x.d[0] ? 1 : x.s < 0 ? 0 : 1 / 0\r\n      : x.s ? x.s < 0 ? 0 : x : 0 / 0);\r\n  }\r\n\r\n  if (sd == null) {\r\n    external = false;\r\n    wpr = pr;\r\n  } else {\r\n    wpr = sd;\r\n  }\r\n\r\n  t = new Ctor(0.03125);\r\n\r\n  // while abs(x) >= 0.1\r\n  while (x.e > -2) {\r\n\r\n    // x = x / 2^5\r\n    x = x.times(t);\r\n    k += 5;\r\n  }\r\n\r\n  // Use 2 * log10(2^k) + 5 (empirically derived) to estimate the increase in precision\r\n  // necessary to ensure the first 4 rounding digits are correct.\r\n  guard = Math.log(mathpow(2, k)) / Math.LN10 * 2 + 5 | 0;\r\n  wpr += guard;\r\n  denominator = pow = sum = new Ctor(1);\r\n  Ctor.precision = wpr;\r\n\r\n  for (;;) {\r\n    pow = finalise(pow.times(x), wpr, 1);\r\n    denominator = denominator.times(++i);\r\n    t = sum.plus(divide(pow, denominator, wpr, 1));\r\n\r\n    if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\r\n      j = k;\r\n      while (j--) sum = finalise(sum.times(sum), wpr, 1);\r\n\r\n      // Check to see if the first 4 rounding digits are [49]999.\r\n      // If so, repeat the summation with a higher precision, otherwise\r\n      // e.g. with precision: 18, rounding: 1\r\n      // exp(18.404272462595034083567793919843761) = 98372560.1229999999 (should be 98372560.123)\r\n      // `wpr - guard` is the index of first rounding digit.\r\n      if (sd == null) {\r\n\r\n        if (rep < 3 && checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\r\n          Ctor.precision = wpr += 10;\r\n          denominator = pow = t = new Ctor(1);\r\n          i = 0;\r\n          rep++;\r\n        } else {\r\n          return finalise(sum, Ctor.precision = pr, rm, external = true);\r\n        }\r\n      } else {\r\n        Ctor.precision = pr;\r\n        return sum;\r\n      }\r\n    }\r\n\r\n    sum = t;\r\n  }\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the natural logarithm of `x` rounded to `sd` significant\r\n * digits.\r\n *\r\n *  ln(-n)        = NaN\r\n *  ln(0)         = -Infinity\r\n *  ln(-0)        = -Infinity\r\n *  ln(1)         = 0\r\n *  ln(Infinity)  = Infinity\r\n *  ln(-Infinity) = NaN\r\n *  ln(NaN)       = NaN\r\n *\r\n *  ln(n) (n != 1) is non-terminating.\r\n *\r\n */\r\nfunction naturalLogarithm(y, sd) {\r\n  var c, c0, denominator, e, numerator, rep, sum, t, wpr, x1, x2,\r\n    n = 1,\r\n    guard = 10,\r\n    x = y,\r\n    xd = x.d,\r\n    Ctor = x.constructor,\r\n    rm = Ctor.rounding,\r\n    pr = Ctor.precision;\r\n\r\n  // Is x negative or Infinity, NaN, 0 or 1?\r\n  if (x.s < 0 || !xd || !xd[0] || !x.e && xd[0] == 1 && xd.length == 1) {\r\n    return new Ctor(xd && !xd[0] ? -1 / 0 : x.s != 1 ? NaN : xd ? 0 : x);\r\n  }\r\n\r\n  if (sd == null) {\r\n    external = false;\r\n    wpr = pr;\r\n  } else {\r\n    wpr = sd;\r\n  }\r\n\r\n  Ctor.precision = wpr += guard;\r\n  c = digitsToString(xd);\r\n  c0 = c.charAt(0);\r\n\r\n  if (Math.abs(e = x.e) < 1.5e15) {\r\n\r\n    // Argument reduction.\r\n    // The series converges faster the closer the argument is to 1, so using\r\n    // ln(a^b) = b * ln(a),   ln(a) = ln(a^b) / b\r\n    // multiply the argument by itself until the leading digits of the significand are 7, 8, 9,\r\n    // 10, 11, 12 or 13, recording the number of multiplications so the sum of the series can\r\n    // later be divided by this number, then separate out the power of 10 using\r\n    // ln(a*10^b) = ln(a) + b*ln(10).\r\n\r\n    // max n is 21 (gives 0.9, 1.0 or 1.1) (9e15 / 21 = 4.2e14).\r\n    //while (c0 < 9 && c0 != 1 || c0 == 1 && c.charAt(1) > 1) {\r\n    // max n is 6 (gives 0.7 - 1.3)\r\n    while (c0 < 7 && c0 != 1 || c0 == 1 && c.charAt(1) > 3) {\r\n      x = x.times(y);\r\n      c = digitsToString(x.d);\r\n      c0 = c.charAt(0);\r\n      n++;\r\n    }\r\n\r\n    e = x.e;\r\n\r\n    if (c0 > 1) {\r\n      x = new Ctor('0.' + c);\r\n      e++;\r\n    } else {\r\n      x = new Ctor(c0 + '.' + c.slice(1));\r\n    }\r\n  } else {\r\n\r\n    // The argument reduction method above may result in overflow if the argument y is a massive\r\n    // number with exponent >= 1500000000000000 (9e15 / 6 = 1.5e15), so instead recall this\r\n    // function using ln(x*10^e) = ln(x) + e*ln(10).\r\n    t = getLn10(Ctor, wpr + 2, pr).times(e + '');\r\n    x = naturalLogarithm(new Ctor(c0 + '.' + c.slice(1)), wpr - guard).plus(t);\r\n    Ctor.precision = pr;\r\n\r\n    return sd == null ? finalise(x, pr, rm, external = true) : x;\r\n  }\r\n\r\n  // x1 is x reduced to a value near 1.\r\n  x1 = x;\r\n\r\n  // Taylor series.\r\n  // ln(y) = ln((1 + x)/(1 - x)) = 2(x + x^3/3 + x^5/5 + x^7/7 + ...)\r\n  // where x = (y - 1)/(y + 1)    (|x| < 1)\r\n  sum = numerator = x = divide(x.minus(1), x.plus(1), wpr, 1);\r\n  x2 = finalise(x.times(x), wpr, 1);\r\n  denominator = 3;\r\n\r\n  for (;;) {\r\n    numerator = finalise(numerator.times(x2), wpr, 1);\r\n    t = sum.plus(divide(numerator, new Ctor(denominator), wpr, 1));\r\n\r\n    if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\r\n      sum = sum.times(2);\r\n\r\n      // Reverse the argument reduction. Check that e is not 0 because, besides preventing an\r\n      // unnecessary calculation, -0 + 0 = +0 and to ensure correct rounding -0 needs to stay -0.\r\n      if (e !== 0) sum = sum.plus(getLn10(Ctor, wpr + 2, pr).times(e + ''));\r\n      sum = divide(sum, new Ctor(n), wpr, 1);\r\n\r\n      // Is rm > 3 and the first 4 rounding digits 4999, or rm < 4 (or the summation has\r\n      // been repeated previously) and the first 4 rounding digits 9999?\r\n      // If so, restart the summation with a higher precision, otherwise\r\n      // e.g. with precision: 12, rounding: 1\r\n      // ln(135520028.6126091714265381533) = 18.7246299999 when it should be 18.72463.\r\n      // `wpr - guard` is the index of first rounding digit.\r\n      if (sd == null) {\r\n        if (checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\r\n          Ctor.precision = wpr += guard;\r\n          t = numerator = x = divide(x1.minus(1), x1.plus(1), wpr, 1);\r\n          x2 = finalise(x.times(x), wpr, 1);\r\n          denominator = rep = 1;\r\n        } else {\r\n          return finalise(sum, Ctor.precision = pr, rm, external = true);\r\n        }\r\n      } else {\r\n        Ctor.precision = pr;\r\n        return sum;\r\n      }\r\n    }\r\n\r\n    sum = t;\r\n    denominator += 2;\r\n  }\r\n}\r\n\r\n\r\n// ±Infinity, NaN.\r\nfunction nonFiniteToString(x) {\r\n  // Unsigned.\r\n  return String(x.s * x.s / 0);\r\n}\r\n\r\n\r\n/*\r\n * Parse the value of a new Decimal `x` from string `str`.\r\n */\r\nfunction parseDecimal(x, str) {\r\n  var e, i, len;\r\n\r\n  // Decimal point?\r\n  if ((e = str.indexOf('.')) > -1) str = str.replace('.', '');\r\n\r\n  // Exponential form?\r\n  if ((i = str.search(/e/i)) > 0) {\r\n\r\n    // Determine exponent.\r\n    if (e < 0) e = i;\r\n    e += +str.slice(i + 1);\r\n    str = str.substring(0, i);\r\n  } else if (e < 0) {\r\n\r\n    // Integer.\r\n    e = str.length;\r\n  }\r\n\r\n  // Determine leading zeros.\r\n  for (i = 0; str.charCodeAt(i) === 48; i++);\r\n\r\n  // Determine trailing zeros.\r\n  for (len = str.length; str.charCodeAt(len - 1) === 48; --len);\r\n  str = str.slice(i, len);\r\n\r\n  if (str) {\r\n    len -= i;\r\n    x.e = e = e - i - 1;\r\n    x.d = [];\r\n\r\n    // Transform base\r\n\r\n    // e is the base 10 exponent.\r\n    // i is where to slice str to get the first word of the digits array.\r\n    i = (e + 1) % LOG_BASE;\r\n    if (e < 0) i += LOG_BASE;\r\n\r\n    if (i < len) {\r\n      if (i) x.d.push(+str.slice(0, i));\r\n      for (len -= LOG_BASE; i < len;) x.d.push(+str.slice(i, i += LOG_BASE));\r\n      str = str.slice(i);\r\n      i = LOG_BASE - str.length;\r\n    } else {\r\n      i -= len;\r\n    }\r\n\r\n    for (; i--;) str += '0';\r\n    x.d.push(+str);\r\n\r\n    if (external) {\r\n\r\n      // Overflow?\r\n      if (x.e > x.constructor.maxE) {\r\n\r\n        // Infinity.\r\n        x.d = null;\r\n        x.e = NaN;\r\n\r\n      // Underflow?\r\n      } else if (x.e < x.constructor.minE) {\r\n\r\n        // Zero.\r\n        x.e = 0;\r\n        x.d = [0];\r\n        // x.constructor.underflow = true;\r\n      } // else x.constructor.underflow = false;\r\n    }\r\n  } else {\r\n\r\n    // Zero.\r\n    x.e = 0;\r\n    x.d = [0];\r\n  }\r\n\r\n  return x;\r\n}\r\n\r\n\r\n/*\r\n * Parse the value of a new Decimal `x` from a string `str`, which is not a decimal value.\r\n */\r\nfunction parseOther(x, str) {\r\n  var base, Ctor, divisor, i, isFloat, len, p, xd, xe;\r\n\r\n  if (str.indexOf('_') > -1) {\r\n    str = str.replace(/(\\d)_(?=\\d)/g, '$1');\r\n    if (isDecimal.test(str)) return parseDecimal(x, str);\r\n  } else if (str === 'Infinity' || str === 'NaN') {\r\n    if (!+str) x.s = NaN;\r\n    x.e = NaN;\r\n    x.d = null;\r\n    return x;\r\n  }\r\n\r\n  if (isHex.test(str))  {\r\n    base = 16;\r\n    str = str.toLowerCase();\r\n  } else if (isBinary.test(str))  {\r\n    base = 2;\r\n  } else if (isOctal.test(str))  {\r\n    base = 8;\r\n  } else {\r\n    throw Error(invalidArgument + str);\r\n  }\r\n\r\n  // Is there a binary exponent part?\r\n  i = str.search(/p/i);\r\n\r\n  if (i > 0) {\r\n    p = +str.slice(i + 1);\r\n    str = str.substring(2, i);\r\n  } else {\r\n    str = str.slice(2);\r\n  }\r\n\r\n  // Convert `str` as an integer then divide the result by `base` raised to a power such that the\r\n  // fraction part will be restored.\r\n  i = str.indexOf('.');\r\n  isFloat = i >= 0;\r\n  Ctor = x.constructor;\r\n\r\n  if (isFloat) {\r\n    str = str.replace('.', '');\r\n    len = str.length;\r\n    i = len - i;\r\n\r\n    // log[10](16) = 1.2041... , log[10](88) = 1.9444....\r\n    divisor = intPow(Ctor, new Ctor(base), i, i * 2);\r\n  }\r\n\r\n  xd = convertBase(str, base, BASE);\r\n  xe = xd.length - 1;\r\n\r\n  // Remove trailing zeros.\r\n  for (i = xe; xd[i] === 0; --i) xd.pop();\r\n  if (i < 0) return new Ctor(x.s * 0);\r\n  x.e = getBase10Exponent(xd, xe);\r\n  x.d = xd;\r\n  external = false;\r\n\r\n  // At what precision to perform the division to ensure exact conversion?\r\n  // maxDecimalIntegerPartDigitCount = ceil(log[10](b) * otherBaseIntegerPartDigitCount)\r\n  // log[10](2) = 0.30103, log[10](8) = 0.90309, log[10](16) = 1.20412\r\n  // E.g. ceil(1.2 * 3) = 4, so up to 4 decimal digits are needed to represent 3 hex int digits.\r\n  // maxDecimalFractionPartDigitCount = {Hex:4|Oct:3|Bin:1} * otherBaseFractionPartDigitCount\r\n  // Therefore using 4 * the number of digits of str will always be enough.\r\n  if (isFloat) x = divide(x, divisor, len * 4);\r\n\r\n  // Multiply by the binary exponent part if present.\r\n  if (p) x = x.times(Math.abs(p) < 54 ? mathpow(2, p) : Decimal.pow(2, p));\r\n  external = true;\r\n\r\n  return x;\r\n}\r\n\r\n\r\n/*\r\n * sin(x) = x - x^3/3! + x^5/5! - ...\r\n * |x| < pi/2\r\n *\r\n */\r\nfunction sine(Ctor, x) {\r\n  var k,\r\n    len = x.d.length;\r\n\r\n  if (len < 3) {\r\n    return x.isZero() ? x : taylorSeries(Ctor, 2, x, x);\r\n  }\r\n\r\n  // Argument reduction: sin(5x) = 16*sin^5(x) - 20*sin^3(x) + 5*sin(x)\r\n  // i.e. sin(x) = 16*sin^5(x/5) - 20*sin^3(x/5) + 5*sin(x/5)\r\n  // and  sin(x) = sin(x/5)(5 + sin^2(x/5)(16sin^2(x/5) - 20))\r\n\r\n  // Estimate the optimum number of times to use the argument reduction.\r\n  k = 1.4 * Math.sqrt(len);\r\n  k = k > 16 ? 16 : k | 0;\r\n\r\n  x = x.times(1 / tinyPow(5, k));\r\n  x = taylorSeries(Ctor, 2, x, x);\r\n\r\n  // Reverse argument reduction\r\n  var sin2_x,\r\n    d5 = new Ctor(5),\r\n    d16 = new Ctor(16),\r\n    d20 = new Ctor(20);\r\n  for (; k--;) {\r\n    sin2_x = x.times(x);\r\n    x = x.times(d5.plus(sin2_x.times(d16.times(sin2_x).minus(d20))));\r\n  }\r\n\r\n  return x;\r\n}\r\n\r\n\r\n// Calculate Taylor series for `cos`, `cosh`, `sin` and `sinh`.\r\nfunction taylorSeries(Ctor, n, x, y, isHyperbolic) {\r\n  var j, t, u, x2,\r\n    i = 1,\r\n    pr = Ctor.precision,\r\n    k = Math.ceil(pr / LOG_BASE);\r\n\r\n  external = false;\r\n  x2 = x.times(x);\r\n  u = new Ctor(y);\r\n\r\n  for (;;) {\r\n    t = divide(u.times(x2), new Ctor(n++ * n++), pr, 1);\r\n    u = isHyperbolic ? y.plus(t) : y.minus(t);\r\n    y = divide(t.times(x2), new Ctor(n++ * n++), pr, 1);\r\n    t = u.plus(y);\r\n\r\n    if (t.d[k] !== void 0) {\r\n      for (j = k; t.d[j] === u.d[j] && j--;);\r\n      if (j == -1) break;\r\n    }\r\n\r\n    j = u;\r\n    u = y;\r\n    y = t;\r\n    t = j;\r\n    i++;\r\n  }\r\n\r\n  external = true;\r\n  t.d.length = k + 1;\r\n\r\n  return t;\r\n}\r\n\r\n\r\n// Exponent e must be positive and non-zero.\r\nfunction tinyPow(b, e) {\r\n  var n = b;\r\n  while (--e) n *= b;\r\n  return n;\r\n}\r\n\r\n\r\n// Return the absolute value of `x` reduced to less than or equal to half pi.\r\nfunction toLessThanHalfPi(Ctor, x) {\r\n  var t,\r\n    isNeg = x.s < 0,\r\n    pi = getPi(Ctor, Ctor.precision, 1),\r\n    halfPi = pi.times(0.5);\r\n\r\n  x = x.abs();\r\n\r\n  if (x.lte(halfPi)) {\r\n    quadrant = isNeg ? 4 : 1;\r\n    return x;\r\n  }\r\n\r\n  t = x.divToInt(pi);\r\n\r\n  if (t.isZero()) {\r\n    quadrant = isNeg ? 3 : 2;\r\n  } else {\r\n    x = x.minus(t.times(pi));\r\n\r\n    // 0 <= x < pi\r\n    if (x.lte(halfPi)) {\r\n      quadrant = isOdd(t) ? (isNeg ? 2 : 3) : (isNeg ? 4 : 1);\r\n      return x;\r\n    }\r\n\r\n    quadrant = isOdd(t) ? (isNeg ? 1 : 4) : (isNeg ? 3 : 2);\r\n  }\r\n\r\n  return x.minus(pi).abs();\r\n}\r\n\r\n\r\n/*\r\n * Return the value of Decimal `x` as a string in base `baseOut`.\r\n *\r\n * If the optional `sd` argument is present include a binary exponent suffix.\r\n */\r\nfunction toStringBinary(x, baseOut, sd, rm) {\r\n  var base, e, i, k, len, roundUp, str, xd, y,\r\n    Ctor = x.constructor,\r\n    isExp = sd !== void 0;\r\n\r\n  if (isExp) {\r\n    checkInt32(sd, 1, MAX_DIGITS);\r\n    if (rm === void 0) rm = Ctor.rounding;\r\n    else checkInt32(rm, 0, 8);\r\n  } else {\r\n    sd = Ctor.precision;\r\n    rm = Ctor.rounding;\r\n  }\r\n\r\n  if (!x.isFinite()) {\r\n    str = nonFiniteToString(x);\r\n  } else {\r\n    str = finiteToString(x);\r\n    i = str.indexOf('.');\r\n\r\n    // Use exponential notation according to `toExpPos` and `toExpNeg`? No, but if required:\r\n    // maxBinaryExponent = floor((decimalExponent + 1) * log[2](10))\r\n    // minBinaryExponent = floor(decimalExponent * log[2](10))\r\n    // log[2](10) = 3.321928094887362347870319429489390175864\r\n\r\n    if (isExp) {\r\n      base = 2;\r\n      if (baseOut == 16) {\r\n        sd = sd * 4 - 3;\r\n      } else if (baseOut == 8) {\r\n        sd = sd * 3 - 2;\r\n      }\r\n    } else {\r\n      base = baseOut;\r\n    }\r\n\r\n    // Convert the number as an integer then divide the result by its base raised to a power such\r\n    // that the fraction part will be restored.\r\n\r\n    // Non-integer.\r\n    if (i >= 0) {\r\n      str = str.replace('.', '');\r\n      y = new Ctor(1);\r\n      y.e = str.length - i;\r\n      y.d = convertBase(finiteToString(y), 10, base);\r\n      y.e = y.d.length;\r\n    }\r\n\r\n    xd = convertBase(str, 10, base);\r\n    e = len = xd.length;\r\n\r\n    // Remove trailing zeros.\r\n    for (; xd[--len] == 0;) xd.pop();\r\n\r\n    if (!xd[0]) {\r\n      str = isExp ? '0p+0' : '0';\r\n    } else {\r\n      if (i < 0) {\r\n        e--;\r\n      } else {\r\n        x = new Ctor(x);\r\n        x.d = xd;\r\n        x.e = e;\r\n        x = divide(x, y, sd, rm, 0, base);\r\n        xd = x.d;\r\n        e = x.e;\r\n        roundUp = inexact;\r\n      }\r\n\r\n      // The rounding digit, i.e. the digit after the digit that may be rounded up.\r\n      i = xd[sd];\r\n      k = base / 2;\r\n      roundUp = roundUp || xd[sd + 1] !== void 0;\r\n\r\n      roundUp = rm < 4\r\n        ? (i !== void 0 || roundUp) && (rm === 0 || rm === (x.s < 0 ? 3 : 2))\r\n        : i > k || i === k && (rm === 4 || roundUp || rm === 6 && xd[sd - 1] & 1 ||\r\n          rm === (x.s < 0 ? 8 : 7));\r\n\r\n      xd.length = sd;\r\n\r\n      if (roundUp) {\r\n\r\n        // Rounding up may mean the previous digit has to be rounded up and so on.\r\n        for (; ++xd[--sd] > base - 1;) {\r\n          xd[sd] = 0;\r\n          if (!sd) {\r\n            ++e;\r\n            xd.unshift(1);\r\n          }\r\n        }\r\n      }\r\n\r\n      // Determine trailing zeros.\r\n      for (len = xd.length; !xd[len - 1]; --len);\r\n\r\n      // E.g. [4, 11, 15] becomes 4bf.\r\n      for (i = 0, str = ''; i < len; i++) str += NUMERALS.charAt(xd[i]);\r\n\r\n      // Add binary exponent suffix?\r\n      if (isExp) {\r\n        if (len > 1) {\r\n          if (baseOut == 16 || baseOut == 8) {\r\n            i = baseOut == 16 ? 4 : 3;\r\n            for (--len; len % i; len++) str += '0';\r\n            xd = convertBase(str, base, baseOut);\r\n            for (len = xd.length; !xd[len - 1]; --len);\r\n\r\n            // xd[0] will always be be 1\r\n            for (i = 1, str = '1.'; i < len; i++) str += NUMERALS.charAt(xd[i]);\r\n          } else {\r\n            str = str.charAt(0) + '.' + str.slice(1);\r\n          }\r\n        }\r\n\r\n        str =  str + (e < 0 ? 'p' : 'p+') + e;\r\n      } else if (e < 0) {\r\n        for (; ++e;) str = '0' + str;\r\n        str = '0.' + str;\r\n      } else {\r\n        if (++e > len) for (e -= len; e-- ;) str += '0';\r\n        else if (e < len) str = str.slice(0, e) + '.' + str.slice(e);\r\n      }\r\n    }\r\n\r\n    str = (baseOut == 16 ? '0x' : baseOut == 2 ? '0b' : baseOut == 8 ? '0o' : '') + str;\r\n  }\r\n\r\n  return x.s < 0 ? '-' + str : str;\r\n}\r\n\r\n\r\n// Does not strip trailing zeros.\r\nfunction truncate(arr, len) {\r\n  if (arr.length > len) {\r\n    arr.length = len;\r\n    return true;\r\n  }\r\n}\r\n\r\n\r\n// Decimal methods\r\n\r\n\r\n/*\r\n *  abs\r\n *  acos\r\n *  acosh\r\n *  add\r\n *  asin\r\n *  asinh\r\n *  atan\r\n *  atanh\r\n *  atan2\r\n *  cbrt\r\n *  ceil\r\n *  clamp\r\n *  clone\r\n *  config\r\n *  cos\r\n *  cosh\r\n *  div\r\n *  exp\r\n *  floor\r\n *  hypot\r\n *  ln\r\n *  log\r\n *  log2\r\n *  log10\r\n *  max\r\n *  min\r\n *  mod\r\n *  mul\r\n *  pow\r\n *  random\r\n *  round\r\n *  set\r\n *  sign\r\n *  sin\r\n *  sinh\r\n *  sqrt\r\n *  sub\r\n *  sum\r\n *  tan\r\n *  tanh\r\n *  trunc\r\n */\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the absolute value of `x`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction abs(x) {\r\n  return new this(x).abs();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the arccosine in radians of `x`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction acos(x) {\r\n  return new this(x).acos();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic cosine of `x`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\r\nfunction acosh(x) {\r\n  return new this(x).acosh();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the sum of `x` and `y`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\r\nfunction add(x, y) {\r\n  return new this(x).plus(y);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the arcsine in radians of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction asin(x) {\r\n  return new this(x).asin();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic sine of `x`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\r\nfunction asinh(x) {\r\n  return new this(x).asinh();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the arctangent in radians of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction atan(x) {\r\n  return new this(x).atan();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic tangent of `x`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\r\nfunction atanh(x) {\r\n  return new this(x).atanh();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the arctangent in radians of `y/x` in the range -pi to pi\r\n * (inclusive), rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-pi, pi]\r\n *\r\n * y {number|string|Decimal} The y-coordinate.\r\n * x {number|string|Decimal} The x-coordinate.\r\n *\r\n * atan2(±0, -0)               = ±pi\r\n * atan2(±0, +0)               = ±0\r\n * atan2(±0, -x)               = ±pi for x > 0\r\n * atan2(±0, x)                = ±0 for x > 0\r\n * atan2(-y, ±0)               = -pi/2 for y > 0\r\n * atan2(y, ±0)                = pi/2 for y > 0\r\n * atan2(±y, -Infinity)        = ±pi for finite y > 0\r\n * atan2(±y, +Infinity)        = ±0 for finite y > 0\r\n * atan2(±Infinity, x)         = ±pi/2 for finite x\r\n * atan2(±Infinity, -Infinity) = ±3*pi/4\r\n * atan2(±Infinity, +Infinity) = ±pi/4\r\n * atan2(NaN, x) = NaN\r\n * atan2(y, NaN) = NaN\r\n *\r\n */\r\nfunction atan2(y, x) {\r\n  y = new this(y);\r\n  x = new this(x);\r\n  var r,\r\n    pr = this.precision,\r\n    rm = this.rounding,\r\n    wpr = pr + 4;\r\n\r\n  // Either NaN\r\n  if (!y.s || !x.s) {\r\n    r = new this(NaN);\r\n\r\n  // Both ±Infinity\r\n  } else if (!y.d && !x.d) {\r\n    r = getPi(this, wpr, 1).times(x.s > 0 ? 0.25 : 0.75);\r\n    r.s = y.s;\r\n\r\n  // x is ±Infinity or y is ±0\r\n  } else if (!x.d || y.isZero()) {\r\n    r = x.s < 0 ? getPi(this, pr, rm) : new this(0);\r\n    r.s = y.s;\r\n\r\n  // y is ±Infinity or x is ±0\r\n  } else if (!y.d || x.isZero()) {\r\n    r = getPi(this, wpr, 1).times(0.5);\r\n    r.s = y.s;\r\n\r\n  // Both non-zero and finite\r\n  } else if (x.s < 0) {\r\n    this.precision = wpr;\r\n    this.rounding = 1;\r\n    r = this.atan(divide(y, x, wpr, 1));\r\n    x = getPi(this, wpr, 1);\r\n    this.precision = pr;\r\n    this.rounding = rm;\r\n    r = y.s < 0 ? r.minus(x) : r.plus(x);\r\n  } else {\r\n    r = this.atan(divide(y, x, wpr, 1));\r\n  }\r\n\r\n  return r;\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the cube root of `x`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction cbrt(x) {\r\n  return new this(x).cbrt();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` rounded to an integer using `ROUND_CEIL`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction ceil(x) {\r\n  return finalise(x = new this(x), x.e + 1, 2);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` clamped to the range delineated by `min` and `max`.\r\n *\r\n * x {number|string|Decimal}\r\n * min {number|string|Decimal}\r\n * max {number|string|Decimal}\r\n *\r\n */\r\nfunction clamp(x, min, max) {\r\n  return new this(x).clamp(min, max);\r\n}\r\n\r\n\r\n/*\r\n * Configure global settings for a Decimal constructor.\r\n *\r\n * `obj` is an object with one or more of the following properties,\r\n *\r\n *   precision  {number}\r\n *   rounding   {number}\r\n *   toExpNeg   {number}\r\n *   toExpPos   {number}\r\n *   maxE       {number}\r\n *   minE       {number}\r\n *   modulo     {number}\r\n *   crypto     {boolean|number}\r\n *   defaults   {true}\r\n *\r\n * E.g. Decimal.config({ precision: 20, rounding: 4 })\r\n *\r\n */\r\nfunction config(obj) {\r\n  if (!obj || typeof obj !== 'object') throw Error(decimalError + 'Object expected');\r\n  var i, p, v,\r\n    useDefaults = obj.defaults === true,\r\n    ps = [\r\n      'precision', 1, MAX_DIGITS,\r\n      'rounding', 0, 8,\r\n      'toExpNeg', -EXP_LIMIT, 0,\r\n      'toExpPos', 0, EXP_LIMIT,\r\n      'maxE', 0, EXP_LIMIT,\r\n      'minE', -EXP_LIMIT, 0,\r\n      'modulo', 0, 9\r\n    ];\r\n\r\n  for (i = 0; i < ps.length; i += 3) {\r\n    if (p = ps[i], useDefaults) this[p] = DEFAULTS[p];\r\n    if ((v = obj[p]) !== void 0) {\r\n      if (mathfloor(v) === v && v >= ps[i + 1] && v <= ps[i + 2]) this[p] = v;\r\n      else throw Error(invalidArgument + p + ': ' + v);\r\n    }\r\n  }\r\n\r\n  if (p = 'crypto', useDefaults) this[p] = DEFAULTS[p];\r\n  if ((v = obj[p]) !== void 0) {\r\n    if (v === true || v === false || v === 0 || v === 1) {\r\n      if (v) {\r\n        if (typeof crypto != 'undefined' && crypto &&\r\n          (crypto.getRandomValues || crypto.randomBytes)) {\r\n          this[p] = true;\r\n        } else {\r\n          throw Error(cryptoUnavailable);\r\n        }\r\n      } else {\r\n        this[p] = false;\r\n      }\r\n    } else {\r\n      throw Error(invalidArgument + p + ': ' + v);\r\n    }\r\n  }\r\n\r\n  return this;\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the cosine of `x`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\r\nfunction cos(x) {\r\n  return new this(x).cos();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the hyperbolic cosine of `x`, rounded to precision\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\r\nfunction cosh(x) {\r\n  return new this(x).cosh();\r\n}\r\n\r\n\r\n/*\r\n * Create and return a Decimal constructor with the same configuration properties as this Decimal\r\n * constructor.\r\n *\r\n */\r\nfunction clone(obj) {\r\n  var i, p, ps;\r\n\r\n  /*\r\n   * The Decimal constructor and exported function.\r\n   * Return a new Decimal instance.\r\n   *\r\n   * v {number|string|Decimal} A numeric value.\r\n   *\r\n   */\r\n  function Decimal(v) {\r\n    var e, i, t,\r\n      x = this;\r\n\r\n    // Decimal called without new.\r\n    if (!(x instanceof Decimal)) return new Decimal(v);\r\n\r\n    // Retain a reference to this Decimal constructor, and shadow Decimal.prototype.constructor\r\n    // which points to Object.\r\n    x.constructor = Decimal;\r\n\r\n    // Duplicate.\r\n    if (isDecimalInstance(v)) {\r\n      x.s = v.s;\r\n\r\n      if (external) {\r\n        if (!v.d || v.e > Decimal.maxE) {\r\n\r\n          // Infinity.\r\n          x.e = NaN;\r\n          x.d = null;\r\n        } else if (v.e < Decimal.minE) {\r\n\r\n          // Zero.\r\n          x.e = 0;\r\n          x.d = [0];\r\n        } else {\r\n          x.e = v.e;\r\n          x.d = v.d.slice();\r\n        }\r\n      } else {\r\n        x.e = v.e;\r\n        x.d = v.d ? v.d.slice() : v.d;\r\n      }\r\n\r\n      return;\r\n    }\r\n\r\n    t = typeof v;\r\n\r\n    if (t === 'number') {\r\n      if (v === 0) {\r\n        x.s = 1 / v < 0 ? -1 : 1;\r\n        x.e = 0;\r\n        x.d = [0];\r\n        return;\r\n      }\r\n\r\n      if (v < 0) {\r\n        v = -v;\r\n        x.s = -1;\r\n      } else {\r\n        x.s = 1;\r\n      }\r\n\r\n      // Fast path for small integers.\r\n      if (v === ~~v && v < 1e7) {\r\n        for (e = 0, i = v; i >= 10; i /= 10) e++;\r\n\r\n        if (external) {\r\n          if (e > Decimal.maxE) {\r\n            x.e = NaN;\r\n            x.d = null;\r\n          } else if (e < Decimal.minE) {\r\n            x.e = 0;\r\n            x.d = [0];\r\n          } else {\r\n            x.e = e;\r\n            x.d = [v];\r\n          }\r\n        } else {\r\n          x.e = e;\r\n          x.d = [v];\r\n        }\r\n\r\n        return;\r\n\r\n      // Infinity, NaN.\r\n      } else if (v * 0 !== 0) {\r\n        if (!v) x.s = NaN;\r\n        x.e = NaN;\r\n        x.d = null;\r\n        return;\r\n      }\r\n\r\n      return parseDecimal(x, v.toString());\r\n\r\n    } else if (t !== 'string') {\r\n      throw Error(invalidArgument + v);\r\n    }\r\n\r\n    // Minus sign?\r\n    if ((i = v.charCodeAt(0)) === 45) {\r\n      v = v.slice(1);\r\n      x.s = -1;\r\n    } else {\r\n      // Plus sign?\r\n      if (i === 43) v = v.slice(1);\r\n      x.s = 1;\r\n    }\r\n\r\n    return isDecimal.test(v) ? parseDecimal(x, v) : parseOther(x, v);\r\n  }\r\n\r\n  Decimal.prototype = P;\r\n\r\n  Decimal.ROUND_UP = 0;\r\n  Decimal.ROUND_DOWN = 1;\r\n  Decimal.ROUND_CEIL = 2;\r\n  Decimal.ROUND_FLOOR = 3;\r\n  Decimal.ROUND_HALF_UP = 4;\r\n  Decimal.ROUND_HALF_DOWN = 5;\r\n  Decimal.ROUND_HALF_EVEN = 6;\r\n  Decimal.ROUND_HALF_CEIL = 7;\r\n  Decimal.ROUND_HALF_FLOOR = 8;\r\n  Decimal.EUCLID = 9;\r\n\r\n  Decimal.config = Decimal.set = config;\r\n  Decimal.clone = clone;\r\n  Decimal.isDecimal = isDecimalInstance;\r\n\r\n  Decimal.abs = abs;\r\n  Decimal.acos = acos;\r\n  Decimal.acosh = acosh;        // ES6\r\n  Decimal.add = add;\r\n  Decimal.asin = asin;\r\n  Decimal.asinh = asinh;        // ES6\r\n  Decimal.atan = atan;\r\n  Decimal.atanh = atanh;        // ES6\r\n  Decimal.atan2 = atan2;\r\n  Decimal.cbrt = cbrt;          // ES6\r\n  Decimal.ceil = ceil;\r\n  Decimal.clamp = clamp;\r\n  Decimal.cos = cos;\r\n  Decimal.cosh = cosh;          // ES6\r\n  Decimal.div = div;\r\n  Decimal.exp = exp;\r\n  Decimal.floor = floor;\r\n  Decimal.hypot = hypot;        // ES6\r\n  Decimal.ln = ln;\r\n  Decimal.log = log;\r\n  Decimal.log10 = log10;        // ES6\r\n  Decimal.log2 = log2;          // ES6\r\n  Decimal.max = max;\r\n  Decimal.min = min;\r\n  Decimal.mod = mod;\r\n  Decimal.mul = mul;\r\n  Decimal.pow = pow;\r\n  Decimal.random = random;\r\n  Decimal.round = round;\r\n  Decimal.sign = sign;          // ES6\r\n  Decimal.sin = sin;\r\n  Decimal.sinh = sinh;          // ES6\r\n  Decimal.sqrt = sqrt;\r\n  Decimal.sub = sub;\r\n  Decimal.sum = sum;\r\n  Decimal.tan = tan;\r\n  Decimal.tanh = tanh;          // ES6\r\n  Decimal.trunc = trunc;        // ES6\r\n\r\n  if (obj === void 0) obj = {};\r\n  if (obj) {\r\n    if (obj.defaults !== true) {\r\n      ps = ['precision', 'rounding', 'toExpNeg', 'toExpPos', 'maxE', 'minE', 'modulo', 'crypto'];\r\n      for (i = 0; i < ps.length;) if (!obj.hasOwnProperty(p = ps[i++])) obj[p] = this[p];\r\n    }\r\n  }\r\n\r\n  Decimal.config(obj);\r\n\r\n  return Decimal;\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` divided by `y`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\r\nfunction div(x, y) {\r\n  return new this(x).div(y);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the natural exponential of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} The power to which to raise the base of the natural log.\r\n *\r\n */\r\nfunction exp(x) {\r\n  return new this(x).exp();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` round to an integer using `ROUND_FLOOR`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction floor(x) {\r\n  return finalise(x = new this(x), x.e + 1, 3);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the square root of the sum of the squares of the arguments,\r\n * rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * hypot(a, b, ...) = sqrt(a^2 + b^2 + ...)\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n */\r\nfunction hypot() {\r\n  var i, n,\r\n    t = new this(0);\r\n\r\n  external = false;\r\n\r\n  for (i = 0; i < arguments.length;) {\r\n    n = new this(arguments[i++]);\r\n    if (!n.d) {\r\n      if (n.s) {\r\n        external = true;\r\n        return new this(1 / 0);\r\n      }\r\n      t = n;\r\n    } else if (t.d) {\r\n      t = t.plus(n.times(n));\r\n    }\r\n  }\r\n\r\n  external = true;\r\n\r\n  return t.sqrt();\r\n}\r\n\r\n\r\n/*\r\n * Return true if object is a Decimal instance (where Decimal is any Decimal constructor),\r\n * otherwise return false.\r\n *\r\n */\r\nfunction isDecimalInstance(obj) {\r\n  return obj instanceof Decimal || obj && obj.toStringTag === tag || false;\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the natural logarithm of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction ln(x) {\r\n  return new this(x).ln();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the log of `x` to the base `y`, or to base 10 if no base\r\n * is specified, rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * log[y](x)\r\n *\r\n * x {number|string|Decimal} The argument of the logarithm.\r\n * y {number|string|Decimal} The base of the logarithm.\r\n *\r\n */\r\nfunction log(x, y) {\r\n  return new this(x).log(y);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the base 2 logarithm of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction log2(x) {\r\n  return new this(x).log(2);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the base 10 logarithm of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction log10(x) {\r\n  return new this(x).log(10);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the maximum of the arguments.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n */\r\nfunction max() {\r\n  return maxOrMin(this, arguments, 'lt');\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the minimum of the arguments.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n */\r\nfunction min() {\r\n  return maxOrMin(this, arguments, 'gt');\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` modulo `y`, rounded to `precision` significant digits\r\n * using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\r\nfunction mod(x, y) {\r\n  return new this(x).mod(y);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` multiplied by `y`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\r\nfunction mul(x, y) {\r\n  return new this(x).mul(y);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` raised to the power `y`, rounded to precision\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} The base.\r\n * y {number|string|Decimal} The exponent.\r\n *\r\n */\r\nfunction pow(x, y) {\r\n  return new this(x).pow(y);\r\n}\r\n\r\n\r\n/*\r\n * Returns a new Decimal with a random value equal to or greater than 0 and less than 1, and with\r\n * `sd`, or `Decimal.precision` if `sd` is omitted, significant digits (or less if trailing zeros\r\n * are produced).\r\n *\r\n * [sd] {number} Significant digits. Integer, 0 to MAX_DIGITS inclusive.\r\n *\r\n */\r\nfunction random(sd) {\r\n  var d, e, k, n,\r\n    i = 0,\r\n    r = new this(1),\r\n    rd = [];\r\n\r\n  if (sd === void 0) sd = this.precision;\r\n  else checkInt32(sd, 1, MAX_DIGITS);\r\n\r\n  k = Math.ceil(sd / LOG_BASE);\r\n\r\n  if (!this.crypto) {\r\n    for (; i < k;) rd[i++] = Math.random() * 1e7 | 0;\r\n\r\n  // Browsers supporting crypto.getRandomValues.\r\n  } else if (crypto.getRandomValues) {\r\n    d = crypto.getRandomValues(new Uint32Array(k));\r\n\r\n    for (; i < k;) {\r\n      n = d[i];\r\n\r\n      // 0 <= n < 4294967296\r\n      // Probability n >= 4.29e9, is 4967296 / 4294967296 = 0.00116 (1 in 865).\r\n      if (n >= 4.29e9) {\r\n        d[i] = crypto.getRandomValues(new Uint32Array(1))[0];\r\n      } else {\r\n\r\n        // 0 <= n <= 4289999999\r\n        // 0 <= (n % 1e7) <= 9999999\r\n        rd[i++] = n % 1e7;\r\n      }\r\n    }\r\n\r\n  // Node.js supporting crypto.randomBytes.\r\n  } else if (crypto.randomBytes) {\r\n\r\n    // buffer\r\n    d = crypto.randomBytes(k *= 4);\r\n\r\n    for (; i < k;) {\r\n\r\n      // 0 <= n < 2147483648\r\n      n = d[i] + (d[i + 1] << 8) + (d[i + 2] << 16) + ((d[i + 3] & 0x7f) << 24);\r\n\r\n      // Probability n >= 2.14e9, is 7483648 / 2147483648 = 0.0035 (1 in 286).\r\n      if (n >= 2.14e9) {\r\n        crypto.randomBytes(4).copy(d, i);\r\n      } else {\r\n\r\n        // 0 <= n <= 2139999999\r\n        // 0 <= (n % 1e7) <= 9999999\r\n        rd.push(n % 1e7);\r\n        i += 4;\r\n      }\r\n    }\r\n\r\n    i = k / 4;\r\n  } else {\r\n    throw Error(cryptoUnavailable);\r\n  }\r\n\r\n  k = rd[--i];\r\n  sd %= LOG_BASE;\r\n\r\n  // Convert trailing digits to zeros according to sd.\r\n  if (k && sd) {\r\n    n = mathpow(10, LOG_BASE - sd);\r\n    rd[i] = (k / n | 0) * n;\r\n  }\r\n\r\n  // Remove trailing words which are zero.\r\n  for (; rd[i] === 0; i--) rd.pop();\r\n\r\n  // Zero?\r\n  if (i < 0) {\r\n    e = 0;\r\n    rd = [0];\r\n  } else {\r\n    e = -1;\r\n\r\n    // Remove leading words which are zero and adjust exponent accordingly.\r\n    for (; rd[0] === 0; e -= LOG_BASE) rd.shift();\r\n\r\n    // Count the digits of the first word of rd to determine leading zeros.\r\n    for (k = 1, n = rd[0]; n >= 10; n /= 10) k++;\r\n\r\n    // Adjust the exponent for leading zeros of the first word of rd.\r\n    if (k < LOG_BASE) e -= LOG_BASE - k;\r\n  }\r\n\r\n  r.e = e;\r\n  r.d = rd;\r\n\r\n  return r;\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` rounded to an integer using rounding mode `rounding`.\r\n *\r\n * To emulate `Math.round`, set rounding to 7 (ROUND_HALF_CEIL).\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction round(x) {\r\n  return finalise(x = new this(x), x.e + 1, this.rounding);\r\n}\r\n\r\n\r\n/*\r\n * Return\r\n *   1    if x > 0,\r\n *  -1    if x < 0,\r\n *   0    if x is 0,\r\n *  -0    if x is -0,\r\n *   NaN  otherwise\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction sign(x) {\r\n  x = new this(x);\r\n  return x.d ? (x.d[0] ? x.s : 0 * x.s) : x.s || NaN;\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the sine of `x`, rounded to `precision` significant digits\r\n * using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\r\nfunction sin(x) {\r\n  return new this(x).sin();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the hyperbolic sine of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\r\nfunction sinh(x) {\r\n  return new this(x).sinh();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the square root of `x`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction sqrt(x) {\r\n  return new this(x).sqrt();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` minus `y`, rounded to `precision` significant digits\r\n * using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\r\nfunction sub(x, y) {\r\n  return new this(x).sub(y);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the sum of the arguments, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * Only the result is rounded, not the intermediate calculations.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n */\r\nfunction sum() {\r\n  var i = 0,\r\n    args = arguments,\r\n    x = new this(args[i]);\r\n\r\n  external = false;\r\n  for (; x.s && ++i < args.length;) x = x.plus(args[i]);\r\n  external = true;\r\n\r\n  return finalise(x, this.precision, this.rounding);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the tangent of `x`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\r\nfunction tan(x) {\r\n  return new this(x).tan();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the hyperbolic tangent of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\r\nfunction tanh(x) {\r\n  return new this(x).tanh();\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` truncated to an integer.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\r\nfunction trunc(x) {\r\n  return finalise(x = new this(x), x.e + 1, 1);\r\n}\r\n\r\n\r\nP[Symbol.for('nodejs.util.inspect.custom')] = P.toString;\r\nP[Symbol.toStringTag] = 'Decimal';\r\n\r\n// Create and configure initial Decimal constructor.\r\nexport var Decimal = P.constructor = clone(DEFAULTS);\r\n\r\n// Create the internal constants from their string values.\r\nLN10 = new Decimal(LN10);\r\nPI = new Decimal(PI);\r\n\r\nexport default Decimal;\r\n","import _Big from \"big.js\";\nimport BN from \"bn.js\";\n\nimport { BigNumberish, BN_TEN } from \"../common/bignumber\";\nimport { createLogger, Logger } from \"../common/logger\";\n\nimport { parseBigNumberish, Rounding } from \"../common\";\nimport { Currency } from \"./currency\";\nimport toFormat, { WrappedBig } from \"./formatter\";\nimport { Fraction } from \"./fraction\";\nimport { Token } from \"./token\";\n\nconst logger = createLogger(\"Raydium_amount\");\n\nconst Big = toFormat(_Big);\ntype Big = WrappedBig;\n\nexport function splitNumber(num: string, decimals: number): [string, string] {\n  let integral = \"0\";\n  let fractional = \"0\";\n\n  if (num.includes(\".\")) {\n    const splited = num.split(\".\");\n    if (splited.length === 2) {\n      [integral, fractional] = splited;\n      fractional = fractional.padEnd(decimals, \"0\");\n    } else {\n      logger.logWithError(`invalid number string, num: ${num}`);\n    }\n  } else {\n    integral = num;\n  }\n\n  // fix decimals is 0\n  return [integral, fractional.slice(0, decimals) || fractional];\n}\n\nexport class TokenAmount extends Fraction {\n  public readonly token: Token;\n  protected logger: Logger;\n\n  public constructor(token: Token, amount: BigNumberish, isRaw = true, name?: string) {\n    let parsedAmount = new BN(0);\n    const multiplier = BN_TEN.pow(new BN(token.decimals));\n\n    if (isRaw) {\n      parsedAmount = parseBigNumberish(amount);\n    } else {\n      let integralAmount = new BN(0);\n      let fractionalAmount = new BN(0);\n\n      // parse fractional string\n      if (typeof amount === \"string\" || typeof amount === \"number\" || typeof amount === \"bigint\") {\n        const [integral, fractional] = splitNumber(amount.toString(), token.decimals);\n        integralAmount = parseBigNumberish(integral);\n        fractionalAmount = parseBigNumberish(fractional);\n      }\n\n      integralAmount = integralAmount.mul(multiplier);\n      parsedAmount = integralAmount.add(fractionalAmount);\n    }\n\n    super(parsedAmount, multiplier);\n    this.logger = createLogger(name || \"TokenAmount\");\n    this.token = token;\n  }\n\n  public get raw(): BN {\n    return this.numerator;\n  }\n  public isZero(): boolean {\n    return this.raw.isZero();\n  }\n  public gt(other: TokenAmount): boolean {\n    if (!this.token.equals(other.token)) this.logger.logWithError(\"gt token not equals\");\n    return this.raw.gt(other.raw);\n  }\n\n  /**\n   * a less than b\n   */\n  public lt(other: TokenAmount): boolean {\n    if (!this.token.equals(other.token)) this.logger.logWithError(\"lt token not equals\");\n    return this.raw.lt(other.raw);\n  }\n\n  public add(other: TokenAmount): TokenAmount {\n    if (!this.token.equals(other.token)) this.logger.logWithError(\"add token not equals\");\n    return new TokenAmount(this.token, this.raw.add(other.raw));\n  }\n\n  public subtract(other: TokenAmount): TokenAmount {\n    if (!this.token.equals(other.token)) this.logger.logWithError(\"sub token not equals\");\n    return new TokenAmount(this.token, this.raw.sub(other.raw));\n  }\n\n  public toSignificant(\n    significantDigits = this.token.decimals,\n    format?: object,\n    rounding: Rounding = Rounding.ROUND_DOWN,\n  ): string {\n    return super.toSignificant(significantDigits, format, rounding);\n  }\n\n  /**\n   * To fixed\n   *\n   * @example\n   * ```\n   * 1 -> 1.000000000\n   * 1.234 -> 1.234000000\n   * 1.123456789876543 -> 1.123456789\n   * ```\n   */\n  public toFixed(\n    decimalPlaces = this.token.decimals,\n    format?: object,\n    rounding: Rounding = Rounding.ROUND_DOWN,\n  ): string {\n    if (decimalPlaces > this.token.decimals) this.logger.logWithError(\"decimals overflow\");\n    return super.toFixed(decimalPlaces, format, rounding);\n  }\n\n  /**\n   * To exact\n   *\n   * @example\n   * ```\n   * 1 -> 1\n   * 1.234 -> 1.234\n   * 1.123456789876543 -> 1.123456789\n   * ```\n   */\n  public toExact(format: object = { groupSeparator: \"\" }): string {\n    Big.DP = this.token.decimals;\n    return new Big(this.numerator.toString()).div(this.denominator.toString()).toFormat(format);\n  }\n}\n\nexport class CurrencyAmount extends Fraction {\n  public readonly currency: Currency;\n  protected logger: Logger;\n\n  public constructor(currency: Currency, amount: BigNumberish, isRaw = true, name?: string) {\n    let parsedAmount = new BN(0);\n    const multiplier = BN_TEN.pow(new BN(currency.decimals));\n\n    if (isRaw) {\n      parsedAmount = parseBigNumberish(amount);\n    } else {\n      let integralAmount = new BN(0);\n      let fractionalAmount = new BN(0);\n\n      // parse fractional string\n      if (typeof amount === \"string\" || typeof amount === \"number\" || typeof amount === \"bigint\") {\n        const [integral, fractional] = splitNumber(amount.toString(), currency.decimals);\n        integralAmount = parseBigNumberish(integral);\n        fractionalAmount = parseBigNumberish(fractional);\n      }\n\n      integralAmount = integralAmount.mul(multiplier);\n      parsedAmount = integralAmount.add(fractionalAmount);\n    }\n\n    super(parsedAmount, multiplier);\n    this.logger = createLogger(name || \"TokenAmount\");\n    this.currency = currency;\n  }\n\n  public get raw(): BN {\n    return this.numerator;\n  }\n\n  public isZero(): boolean {\n    return this.raw.isZero();\n  }\n\n  /**\n   * a greater than b\n   */\n  public gt(other: CurrencyAmount): boolean {\n    if (!this.currency.equals(other.currency)) this.logger.logWithError(\"gt currency not equals\");\n    return this.raw.gt(other.raw);\n  }\n\n  /**\n   * a less than b\n   */\n  public lt(other: CurrencyAmount): boolean {\n    if (!this.currency.equals(other.currency)) this.logger.logWithError(\"lt currency not equals\");\n    return this.raw.lt(other.raw);\n  }\n\n  public add(other: CurrencyAmount): CurrencyAmount {\n    if (!this.currency.equals(other.currency)) this.logger.logWithError(\"add currency not equals\");\n    return new CurrencyAmount(this.currency, this.raw.add(other.raw));\n  }\n\n  public sub(other: CurrencyAmount): CurrencyAmount {\n    if (!this.currency.equals(other.currency)) this.logger.logWithError(\"sub currency not equals\");\n    return new CurrencyAmount(this.currency, this.raw.sub(other.raw));\n  }\n\n  public toSignificant(\n    significantDigits = this.currency.decimals,\n    format?: object,\n    rounding: Rounding = Rounding.ROUND_DOWN,\n  ): string {\n    return super.toSignificant(significantDigits, format, rounding);\n  }\n\n  /**\n   * To fixed\n   *\n   * @example\n   * ```\n   * 1 -> 1.000000000\n   * 1.234 -> 1.234000000\n   * 1.123456789876543 -> 1.123456789\n   * ```\n   */\n  public toFixed(\n    decimalPlaces = this.currency.decimals,\n    format?: object,\n    rounding: Rounding = Rounding.ROUND_DOWN,\n  ): string {\n    if (decimalPlaces > this.currency.decimals) this.logger.logWithError(\"decimals overflow\");\n\n    return super.toFixed(decimalPlaces, format, rounding);\n  }\n\n  /**\n   * To exact\n   *\n   * @example\n   * ```\n   * 1 -> 1\n   * 1.234 -> 1.234\n   * 1.123456789876543 -> 1.123456789\n   * ```\n   */\n  public toExact(format: object = { groupSeparator: \"\" }): string {\n    Big.DP = this.currency.decimals;\n    return new Big(this.numerator.toString()).div(this.denominator.toString()).toFormat(format);\n  }\n}\n","import { get, set } from \"lodash\";\n\nexport type ModuleName = \"Common.Api\";\n\nexport enum LogLevel {\n  Error,\n  Warning,\n  Info,\n  Debug,\n}\nexport class Logger {\n  private logLevel: LogLevel;\n  private name: string;\n  constructor(params: { name: string; logLevel?: LogLevel }) {\n    this.logLevel = params.logLevel !== undefined ? params.logLevel : LogLevel.Error;\n    this.name = params.name;\n  }\n\n  set level(logLevel: LogLevel) {\n    this.logLevel = logLevel;\n  }\n  get time(): string {\n    return Date.now().toString();\n  }\n  get moduleName(): string {\n    return this.name;\n  }\n\n  private isLogLevel(level: LogLevel): boolean {\n    return level <= this.logLevel;\n  }\n\n  public error(...props): Logger {\n    if (!this.isLogLevel(LogLevel.Error)) return this;\n    console.error(this.time, this.name, \"sdk logger error\", ...props);\n    return this;\n  }\n\n  public logWithError(...props): Logger {\n    // this.error(...props)\n    const msg = props.map((arg) => (typeof arg === \"object\" ? JSON.stringify(arg) : arg)).join(\", \");\n    throw new Error(msg);\n  }\n\n  public warning(...props): Logger {\n    if (!this.isLogLevel(LogLevel.Warning)) return this;\n    console.warn(this.time, this.name, \"sdk logger warning\", ...props);\n    return this;\n  }\n\n  public info(...props): Logger {\n    if (!this.isLogLevel(LogLevel.Info)) return this;\n    console.info(this.time, this.name, \"sdk logger info\", ...props);\n    return this;\n  }\n\n  public debug(...props): Logger {\n    if (!this.isLogLevel(LogLevel.Debug)) return this;\n    console.debug(this.time, this.name, \"sdk logger debug\", ...props);\n    return this;\n  }\n}\n\nconst moduleLoggers: { [key in ModuleName]?: Logger } = {};\nconst moduleLevels: { [key in ModuleName]?: LogLevel } = {};\n\nexport function createLogger(moduleName: string): Logger {\n  let logger = get(moduleLoggers, moduleName);\n  if (!logger) {\n    // default level is error\n    const logLevel = get(moduleLevels, moduleName);\n\n    logger = new Logger({ name: moduleName, logLevel });\n    set(moduleLoggers, moduleName, logger);\n  }\n\n  return logger;\n}\n\nexport function setLoggerLevel(moduleName: string, level: LogLevel): void {\n  set(moduleLevels, moduleName, level);\n\n  const logger = get(moduleLoggers, moduleName);\n  if (logger) logger.level = level;\n}\n","import { AccountInfo, Commitment, Connection, PublicKey } from \"@solana/web3.js\";\nimport { ReturnTypeFetchMultipleMintInfos } from \"../raydium/type\";\nimport { WSOLMint, chunkArray, solToWSol } from \"./\";\nimport { createLogger } from \"./logger\";\nimport { MINT_SIZE, TOKEN_PROGRAM_ID, getTransferFeeConfig, unpackMint } from \"@solana/spl-token\";\n\ninterface MultipleAccountsJsonRpcResponse {\n  jsonrpc: string;\n  id: string;\n  error?: {\n    code: number;\n    message: string;\n  };\n  result: {\n    context: { slot: number };\n    value: { data: Array<string>; executable: boolean; lamports: number; owner: string; rentEpoch: number }[];\n  };\n}\n\nexport interface GetMultipleAccountsInfoConfig {\n  batchRequest?: boolean;\n  commitment?: Commitment;\n  chunkCount?: number;\n}\n\nconst logger = createLogger(\"Raydium_accountInfo_util\");\n\nexport async function getMultipleAccountsInfo(\n  connection: Connection,\n  publicKeys: PublicKey[],\n  config?: GetMultipleAccountsInfoConfig,\n): Promise<(AccountInfo<Buffer> | null)[]> {\n  const {\n    batchRequest,\n    commitment = \"confirmed\",\n    chunkCount = 100,\n  } = {\n    batchRequest: false,\n    ...config,\n  };\n\n  const chunkedKeys = chunkArray(publicKeys, chunkCount);\n  let results: (AccountInfo<Buffer> | null)[][] = new Array(chunkedKeys.length).fill([]);\n\n  if (batchRequest) {\n    const batch = chunkedKeys.map((keys) => {\n      const args = connection._buildArgs([keys.map((key) => key.toBase58())], commitment, \"base64\");\n      return {\n        methodName: \"getMultipleAccounts\",\n        args,\n      };\n    });\n\n    const _batch = chunkArray(batch, 10);\n\n    const unsafeResponse: MultipleAccountsJsonRpcResponse[] = await (\n      await Promise.all(_batch.map(async (i) => await (connection as any)._rpcBatchRequest(i)))\n    ).flat();\n    results = unsafeResponse.map((unsafeRes: MultipleAccountsJsonRpcResponse) => {\n      if (unsafeRes.error)\n        logger.logWithError(`failed to get info for multiple accounts, RPC_ERROR, ${unsafeRes.error.message}`);\n\n      return unsafeRes.result.value.map((accountInfo) => {\n        if (accountInfo) {\n          const { data, executable, lamports, owner, rentEpoch } = accountInfo;\n\n          if (data.length !== 2 && data[1] !== \"base64\") logger.logWithError(`info must be base64 encoded, RPC_ERROR`);\n\n          return {\n            data: Buffer.from(data[0], \"base64\"),\n            executable,\n            lamports,\n            owner: new PublicKey(owner),\n            rentEpoch,\n          };\n        }\n        return null;\n      });\n    });\n  } else {\n    try {\n      results = (await Promise.all(\n        chunkedKeys.map((keys) => connection.getMultipleAccountsInfo(keys, commitment)),\n      )) as (AccountInfo<Buffer> | null)[][];\n    } catch (error) {\n      if (error instanceof Error) {\n        logger.logWithError(`failed to get info for multiple accounts, RPC_ERROR, ${error.message}`);\n      }\n    }\n  }\n\n  return results.flat();\n}\n\nexport async function getMultipleAccountsInfoWithCustomFlags<T extends { pubkey: PublicKey }>(\n  connection: Connection,\n  publicKeysWithCustomFlag: T[],\n  config?: GetMultipleAccountsInfoConfig,\n): Promise<({ accountInfo: AccountInfo<Buffer> | null } & T)[]> {\n  const multipleAccountsInfo = await getMultipleAccountsInfo(\n    connection,\n    publicKeysWithCustomFlag.map((o) => o.pubkey),\n    config,\n  );\n\n  return publicKeysWithCustomFlag.map((o, idx) => ({ ...o, accountInfo: multipleAccountsInfo[idx] }));\n}\n\nexport enum AccountType {\n  Uninitialized,\n  Mint,\n  Account,\n}\nexport const ACCOUNT_TYPE_SIZE = 1;\n\nexport async function fetchMultipleMintInfos({\n  connection,\n  mints,\n  config,\n}: {\n  connection: Connection;\n  mints: PublicKey[];\n  config?: { batchRequest?: boolean };\n}): Promise<ReturnTypeFetchMultipleMintInfos> {\n  if (mints.length === 0) return {};\n  const mintInfos = await getMultipleAccountsInfoWithCustomFlags(\n    connection,\n    mints.map((i) => ({ pubkey: solToWSol(i) })),\n    config,\n  );\n\n  const mintK: ReturnTypeFetchMultipleMintInfos = {};\n  for (const i of mintInfos) {\n    if (!i.accountInfo || i.accountInfo.data.length < MINT_SIZE) {\n      console.log(\"invalid mint account\", i.pubkey.toBase58());\n      continue;\n    }\n    const t = unpackMint(i.pubkey, i.accountInfo, i.accountInfo?.owner);\n    mintK[i.pubkey.toString()] = {\n      ...t,\n      programId: i.accountInfo?.owner || TOKEN_PROGRAM_ID,\n      feeConfig: getTransferFeeConfig(t) ?? undefined,\n    };\n  }\n  mintK[PublicKey.default.toBase58()] = mintK[WSOLMint.toBase58()];\n\n  return mintK;\n}\n","import BN from \"bn.js\";\nimport { BigNumberish } from \"./bignumber\";\nimport { createLogger } from \"./logger\";\n\nexport enum Rounding {\n  ROUND_DOWN,\n  ROUND_HALF_UP,\n  ROUND_UP,\n}\n\nconst MAX_SAFE = 0x1fffffffffffff;\n\nexport function parseBigNumberish(value: BigNumberish): BN {\n  const logger = createLogger(\"Raydium_parseBigNumberish\");\n  // BN\n  if (value instanceof BN) {\n    return value;\n  }\n\n  if (typeof value === \"string\") {\n    if (value.match(/^-?[0-9]+$/)) {\n      return new BN(value);\n    }\n    logger.logWithError(`invalid BigNumberish string: ${value}`);\n  }\n\n  if (typeof value === \"number\") {\n    if (value % 1) {\n      logger.logWithError(`BigNumberish number underflow: ${value}`);\n    }\n\n    if (value >= MAX_SAFE || value <= -MAX_SAFE) {\n      logger.logWithError(`BigNumberish number overflow: ${value}`);\n    }\n\n    return new BN(String(value));\n  }\n\n  if (typeof value === \"bigint\") {\n    return new BN(value.toString());\n  }\n  logger.error(`invalid BigNumberish value: ${value}`);\n  return new BN(0); // never reach, because logWithError will throw error\n}","import { PublicKey } from \"@solana/web3.js\";\nimport { TOKEN_PROGRAM_ID } from \"@solana/spl-token\";\nimport { TokenInfo } from \"./type\";\n\nexport const SOL_INFO: TokenInfo = {\n  chainId: 101,\n  address: PublicKey.default.toBase58(),\n  programId: TOKEN_PROGRAM_ID.toBase58(),\n  decimals: 9,\n  symbol: \"SOL\",\n  name: \"solana\",\n  logoURI: `https://img-v1.raydium.io/icon/So11111111111111111111111111111111111111112.png`,\n  tags: [],\n  priority: 2,\n  type: \"raydium\",\n  extensions: {\n    coingeckoId: \"solana\",\n  },\n};\n\nexport const TOKEN_WSOL: TokenInfo = {\n  chainId: 101,\n  address: \"So11111111111111111111111111111111111111112\",\n  programId: TOKEN_PROGRAM_ID.toBase58(),\n  decimals: 9,\n  symbol: \"WSOL\",\n  name: \"Wrapped SOL\",\n  logoURI: `https://img-v1.raydium.io/icon/So11111111111111111111111111111111111111112.png`,\n  tags: [],\n  priority: 2,\n  type: \"raydium\",\n  extensions: {\n    coingeckoId: \"solana\",\n  },\n};\n","import { PublicKey } from \"@solana/web3.js\";\n\nimport { PublicKeyish, SOLMint, validateAndParsePublicKey } from \"../common/pubKey\";\nimport { TOKEN_WSOL } from \"../raydium/token/constant\";\n\n/**\n * A token is any fungible financial instrument on Solana, including SOL and all SPL tokens.\n */\nexport interface TokenProps {\n  mint: PublicKeyish;\n  decimals: number;\n  symbol?: string;\n  name?: string;\n  skipMint?: boolean;\n  isToken2022?: boolean;\n}\n\nexport class Token {\n  public readonly symbol?: string;\n  public readonly name?: string;\n  public readonly decimals: number;\n  public readonly isToken2022: boolean;\n\n  public readonly mint: PublicKey;\n  public static readonly WSOL: Token = new Token({\n    ...TOKEN_WSOL,\n    mint: TOKEN_WSOL.address,\n  });\n\n  /**\n   *\n   * @param mint - pass \"sol\" as mint will auto generate wsol token config\n   */\n  public constructor({ mint, decimals, symbol, name, skipMint = false, isToken2022 = false }: TokenProps) {\n    if (mint === SOLMint.toBase58() || (mint instanceof PublicKey && SOLMint.equals(mint))) {\n      this.decimals = TOKEN_WSOL.decimals;\n      this.symbol = TOKEN_WSOL.symbol;\n      this.name = TOKEN_WSOL.name;\n      this.mint = new PublicKey(TOKEN_WSOL.address);\n      this.isToken2022 = false;\n      return;\n    }\n\n    this.decimals = decimals;\n    this.symbol = symbol || mint.toString().substring(0, 6);\n    this.name = name || mint.toString().substring(0, 6);\n    this.mint = skipMint ? PublicKey.default : validateAndParsePublicKey({ publicKey: mint });\n    this.isToken2022 = isToken2022;\n  }\n\n  public equals(other: Token): boolean {\n    // short circuit on reference equality\n    if (this === other) {\n      return true;\n    }\n    return this.mint.equals(other.mint);\n  }\n}\n","import { AccountMeta, PublicKey, SystemProgram, SYSVAR_RENT_PUBKEY } from \"@solana/web3.js\";\nimport { TOKEN_PROGRAM_ID } from \"@solana/spl-token\";\n\ninterface AccountMetaProps {\n  pubkey: PublicKey;\n  isSigner?: boolean;\n  isWritable?: boolean;\n}\n\nexport function accountMeta({ pubkey, isSigner = false, isWritable = true }: AccountMetaProps): AccountMeta {\n  return {\n    pubkey,\n    isWritable,\n    isSigner,\n  };\n}\n\nexport const commonSystemAccountMeta = [\n  accountMeta({ pubkey: TOKEN_PROGRAM_ID, isWritable: false }),\n  accountMeta({ pubkey: SystemProgram.programId, isWritable: false }),\n  accountMeta({ pubkey: SYSVAR_RENT_PUBKEY, isWritable: false }),\n];\n\nexport type PublicKeyish = PublicKey | string;\n\nexport function validateAndParsePublicKey({\n  publicKey: orgPubKey,\n  transformSol,\n}: {\n  publicKey: PublicKeyish;\n  transformSol?: boolean;\n}): PublicKey {\n  const publicKey = tryParsePublicKey(orgPubKey.toString());\n\n  if (publicKey instanceof PublicKey) {\n    if (transformSol && publicKey.equals(SOLMint)) return WSOLMint;\n    return publicKey;\n  }\n\n  if (transformSol && publicKey.toString() === SOLMint.toBase58()) return WSOLMint;\n\n  if (typeof publicKey === \"string\") {\n    if (publicKey === PublicKey.default.toBase58()) return PublicKey.default;\n    try {\n      const key = new PublicKey(publicKey);\n      return key;\n    } catch {\n      throw new Error(\"invalid public key\");\n    }\n  }\n\n  throw new Error(\"invalid public key\");\n}\n\nexport function tryParsePublicKey(v: string): PublicKey | string {\n  try {\n    return new PublicKey(v);\n  } catch (e) {\n    return v;\n  }\n}\n\nexport const MEMO_PROGRAM_ID = new PublicKey(\"MemoSq4gqABAXKb96qnH8TysNcWxMyWCqXgDLGmfcHr\");\nexport const MEMO_PROGRAM_ID2 = new PublicKey(\"MemoSq4gqABAXKb96qnH8TysNcWxMyWCqXgDLGmfcHr\");\nexport const RENT_PROGRAM_ID = new PublicKey(\"SysvarRent111111111111111111111111111111111\");\nexport const CLOCK_PROGRAM_ID = new PublicKey(\"SysvarC1ock11111111111111111111111111111111\");\nexport const METADATA_PROGRAM_ID = new PublicKey(\"metaqbxxUerdq28cj1RbAWkYQm3ybzjb6a8bt518x1s\");\nexport const INSTRUCTION_PROGRAM_ID = new PublicKey(\"Sysvar1nstructions1111111111111111111111111\");\nexport const SYSTEM_PROGRAM_ID = SystemProgram.programId;\n\nexport const RAYMint = new PublicKey(\"4k3Dyjzvzp8eMZWUXbBCjEvwSkkk59S5iCNLY3QrkX6R\");\nexport const PAIMint = new PublicKey(\"Ea5SjE2Y6yvCeW5dYTn7PYMuW5ikXkvbGdcmSnXeaLjS\");\nexport const SRMMint = new PublicKey(\"SRMuApVNdxXokk5GT7XD5cUUgXMBCoAz2LHeuAoKWRt\");\nexport const USDCMint = new PublicKey(\"EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v\");\nexport const USDTMint = new PublicKey(\"Es9vMFrzaCERmJfrF4H2FYD4KCoNkY11McCe8BenwNYB\");\nexport const mSOLMint = new PublicKey(\"mSoLzYCxHdYgdzU16g5QSh3i5K3z3KZK7ytfqcJm7So\");\nexport const stSOLMint = new PublicKey(\"7dHbWXmci3dT8UFYWYZweBLXgycu7Y3iL6trKn1Y7ARj\");\nexport const USDHMint = new PublicKey(\"USDH1SM1ojwWUga67PGrgFWUHibbjqMvuMaDkRJTgkX\");\nexport const NRVMint = new PublicKey(\"NRVwhjBQiUPYtfDT5zRBVJajzFQHaBUNtC7SNVvqRFa\");\nexport const ANAMint = new PublicKey(\"ANAxByE6G2WjFp7A4NqtWYXb3mgruyzZYg3spfxe6Lbo\");\nexport const ETHMint = new PublicKey(\"7vfCXTUXx5WJV5JADk17DUJ4ksgau7utNKj4b963voxs\");\nexport const WSOLMint = new PublicKey(\"So11111111111111111111111111111111111111112\");\nexport const SOLMint = PublicKey.default;\n\nexport function solToWSol(mint: PublicKeyish): PublicKey {\n  return validateAndParsePublicKey({ publicKey: mint, transformSol: true });\n}\n","import { SOL_INFO } from \"../raydium/token/constant\";\n\nimport { Token } from \"./token\";\n\ninterface CurrencyProps {\n  decimals: number;\n  symbol?: string;\n  name?: string;\n}\n/**\n * A currency is any fungible financial instrument on Solana, including SOL and all SPL tokens.\n * The only instance of the base class `Currency` is SOL.\n */\nexport class Currency {\n  public readonly symbol?: string;\n  public readonly name?: string;\n  public readonly decimals: number;\n\n  /**\n   * The only instance of the base class `Currency`.\n   */\n  public static readonly SOL: Currency = new Currency(SOL_INFO);\n\n  /**\n   * Constructs an instance of the base class `Currency`. The only instance of the base class `Currency` is `Currency.SOL`.\n   * @param decimals - decimals of the currency\n   * @param symbol - symbol of the currency\n   * @param name - name of the currency\n   */\n  public constructor({ decimals, symbol = \"UNKNOWN\", name = \"UNKNOWN\" }: CurrencyProps) {\n    this.decimals = decimals;\n    this.symbol = symbol;\n    this.name = name;\n  }\n\n  public equals(other: Currency): boolean {\n    return this === other;\n  }\n}\n\n/**\n * Compares two currencies for equality\n */\nexport function currencyEquals(currencyA: Currency, currencyB: Currency): boolean {\n  if (currencyA instanceof Token && currencyB instanceof Token) {\n    return currencyA.equals(currencyB);\n  } else if (currencyA instanceof Token || currencyB instanceof Token) {\n    return false;\n  } else {\n    return currencyA === currencyB;\n  }\n}\n","import Big, { BigConstructor, BigSource, RoundingMode } from \"big.js\";\nimport Decimal, { Config, Numeric } from \"decimal.js-light\";\nimport _toFarmat from \"toformat\";\n\ntype TakeStatic<T> = { [P in keyof T]: T[P] };\ninterface FormatOptions {\n  decimalSeparator?: string;\n  groupSeparator?: string;\n  groupSize?: number;\n  fractionGroupSeparator?: string;\n  fractionGroupSize?: number;\n}\ninterface WrappedBigConstructor extends TakeStatic<BigConstructor> {\n  new (value: BigSource): WrappedBig;\n  (value: BigSource): WrappedBig;\n  (): WrappedBigConstructor;\n\n  format: FormatOptions;\n}\nexport interface WrappedBig extends Big {\n  add(n: BigSource): WrappedBig;\n  abs(): WrappedBig;\n  div(n: BigSource): WrappedBig;\n  minus(n: BigSource): WrappedBig;\n  mod(n: BigSource): WrappedBig;\n  mul(n: BigSource): WrappedBig;\n  plus(n: BigSource): WrappedBig;\n  pow(exp: number): WrappedBig;\n  round(dp?: number, rm?: RoundingMode): WrappedBig;\n  sqrt(): WrappedBig;\n  sub(n: BigSource): WrappedBig;\n  times(n: BigSource): WrappedBig;\n  toFormat(): string;\n  toFormat(options: FormatOptions): string;\n  toFormat(fractionLength: number): string;\n  toFormat(fractionLength: number, options: FormatOptions): string;\n  toFormat(fractionLength: number, missionUnknown: number): string;\n  toFormat(fractionLength: number, missionUnknown: number, options: FormatOptions): string;\n}\n\ntype DecimalConstructor = typeof Decimal;\ninterface WrappedDecimalConstructor extends TakeStatic<DecimalConstructor> {\n  new (value: Numeric): WrappedDecimal;\n  clone(config?: Config): WrappedDecimalConstructor;\n  config(config: Config): WrappedDecimal;\n  set(config: Config): WrappedDecimal;\n  format: FormatOptions;\n}\nexport interface WrappedDecimal extends Decimal {\n  absoluteValue(): WrappedDecimal;\n  abs(): WrappedDecimal;\n  dividedBy(y: Numeric): WrappedDecimal;\n  div(y: Numeric): WrappedDecimal;\n  dividedToIntegerBy(y: Numeric): WrappedDecimal;\n  idiv(y: Numeric): WrappedDecimal;\n  logarithm(base?: Numeric): WrappedDecimal;\n  log(base?: Numeric): WrappedDecimal;\n  minus(y: Numeric): WrappedDecimal;\n  sub(y: Numeric): WrappedDecimal;\n  modulo(y: Numeric): WrappedDecimal;\n  mod(y: Numeric): WrappedDecimal;\n  naturalExponetial(): WrappedDecimal;\n  exp(): WrappedDecimal;\n  naturalLogarithm(): WrappedDecimal;\n  ln(): WrappedDecimal;\n  negated(): WrappedDecimal;\n  neg(): WrappedDecimal;\n  plus(y: Numeric): WrappedDecimal;\n  add(y: Numeric): WrappedDecimal;\n  squareRoot(): WrappedDecimal;\n  sqrt(): WrappedDecimal;\n  times(y: Numeric): WrappedDecimal;\n  mul(y: Numeric): WrappedDecimal;\n  toWrappedDecimalPlaces(dp?: number, rm?: number): WrappedDecimal;\n  todp(dp?: number, rm?: number): WrappedDecimal;\n  toInteger(): WrappedDecimal;\n  toint(): WrappedDecimal;\n  toPower(y: Numeric): WrappedDecimal;\n  pow(y: Numeric): WrappedDecimal;\n  toSignificantDigits(sd?: number, rm?: number): WrappedDecimal;\n  tosd(sd?: number, rm?: number): WrappedDecimal;\n  toFormat(options: FormatOptions): string;\n  toFormat(fractionLength: number): string;\n  toFormat(fractionLength: number, options: FormatOptions): string;\n  toFormat(fractionLength: number, missionUnknown: number): string;\n  toFormat(fractionLength: number, missionUnknown: number, options: FormatOptions): string;\n}\n\nconst toFormat: {\n  (fn: BigConstructor): WrappedBigConstructor;\n  (fn: DecimalConstructor): WrappedDecimalConstructor;\n} = _toFarmat;\nexport default toFormat;\n","import _Big from \"big.js\";\nimport BN from \"bn.js\";\nimport _Decimal from \"decimal.js-light\";\n\nimport { BigNumberish } from \"../common/bignumber\";\nimport { createLogger } from \"../common/logger\";\n\nimport { parseBigNumberish, Rounding } from \"../common/constant\";\nimport toFormat, { WrappedBig } from \"./formatter\";\n\nconst logger = createLogger(\"module/fraction\");\n\nconst Big = toFormat(_Big);\ntype Big = WrappedBig;\n\nconst Decimal = toFormat(_Decimal);\n\nconst toSignificantRounding = {\n  [Rounding.ROUND_DOWN]: Decimal.ROUND_DOWN,\n  [Rounding.ROUND_HALF_UP]: Decimal.ROUND_HALF_UP,\n  [Rounding.ROUND_UP]: Decimal.ROUND_UP,\n};\n\nconst toFixedRounding = {\n  [Rounding.ROUND_DOWN]: _Big.roundDown,\n  [Rounding.ROUND_HALF_UP]: _Big.roundHalfUp,\n  [Rounding.ROUND_UP]: _Big.roundUp,\n};\n\nexport class Fraction {\n  public readonly numerator: BN;\n  public readonly denominator: BN;\n\n  public constructor(numerator: BigNumberish, denominator: BigNumberish = new BN(1)) {\n    this.numerator = parseBigNumberish(numerator);\n    this.denominator = parseBigNumberish(denominator);\n  }\n\n  public get quotient(): BN {\n    return this.numerator.div(this.denominator);\n  }\n\n  public invert(): Fraction {\n    return new Fraction(this.denominator, this.numerator);\n  }\n\n  public add(other: Fraction | BigNumberish): Fraction {\n    const otherParsed = other instanceof Fraction ? other : new Fraction(parseBigNumberish(other));\n\n    if (this.denominator.eq(otherParsed.denominator)) {\n      return new Fraction(this.numerator.add(otherParsed.numerator), this.denominator);\n    }\n\n    return new Fraction(\n      this.numerator.mul(otherParsed.denominator).add(otherParsed.numerator.mul(this.denominator)),\n      this.denominator.mul(otherParsed.denominator),\n    );\n  }\n\n  public sub(other: Fraction | BigNumberish): Fraction {\n    const otherParsed = other instanceof Fraction ? other : new Fraction(parseBigNumberish(other));\n\n    if (this.denominator.eq(otherParsed.denominator)) {\n      return new Fraction(this.numerator.sub(otherParsed.numerator), this.denominator);\n    }\n\n    return new Fraction(\n      this.numerator.mul(otherParsed.denominator).sub(otherParsed.numerator.mul(this.denominator)),\n      this.denominator.mul(otherParsed.denominator),\n    );\n  }\n\n  public mul(other: Fraction | BigNumberish): Fraction {\n    const otherParsed = other instanceof Fraction ? other : new Fraction(parseBigNumberish(other));\n\n    return new Fraction(this.numerator.mul(otherParsed.numerator), this.denominator.mul(otherParsed.denominator));\n  }\n\n  public div(other: Fraction | BigNumberish): Fraction {\n    const otherParsed = other instanceof Fraction ? other : new Fraction(parseBigNumberish(other));\n\n    return new Fraction(this.numerator.mul(otherParsed.denominator), this.denominator.mul(otherParsed.numerator));\n  }\n\n  public toSignificant(\n    significantDigits: number,\n    format: object = { groupSeparator: \"\" },\n    rounding: Rounding = Rounding.ROUND_HALF_UP,\n  ): string {\n    if (!Number.isInteger(significantDigits)) logger.logWithError(`${significantDigits} is not an integer.`);\n    if (significantDigits <= 0) logger.logWithError(`${significantDigits} is not positive.`);\n\n    Decimal.set({ precision: significantDigits + 1, rounding: toSignificantRounding[rounding] });\n    const quotient = new Decimal(this.numerator.toString())\n      .div(this.denominator.toString())\n      .toSignificantDigits(significantDigits);\n    return quotient.toFormat(quotient.decimalPlaces(), format);\n  }\n\n  public toFixed(\n    decimalPlaces: number,\n    format: object = { groupSeparator: \"\" },\n    rounding: Rounding = Rounding.ROUND_HALF_UP,\n  ): string {\n    if (!Number.isInteger(decimalPlaces)) logger.logWithError(`${decimalPlaces} is not an integer.`);\n    if (decimalPlaces < 0) logger.logWithError(`${decimalPlaces} is negative.`);\n\n    Big.DP = decimalPlaces;\n    Big.RM = toFixedRounding[rounding] || 1;\n    return new Big(this.numerator.toString()).div(this.denominator.toString()).toFormat(decimalPlaces, format);\n  }\n\n  public isZero(): boolean {\n    return this.numerator.isZero();\n  }\n}\n","import BN from \"bn.js\";\nimport { Rounding } from \"../common\";\nimport { Fraction } from \"./fraction\";\n\nexport const _100_PERCENT = new Fraction(new BN(100));\n\nexport class Percent extends Fraction {\n  public toSignificant(significantDigits = 5, format?: object, rounding?: Rounding): string {\n    return this.mul(_100_PERCENT).toSignificant(significantDigits, format, rounding);\n  }\n\n  public toFixed(decimalPlaces = 2, format?: object, rounding?: Rounding): string {\n    return this.mul(_100_PERCENT).toFixed(decimalPlaces, format, rounding);\n  }\n}\n","import { Rounding } from \"../common\";\nimport { BigNumberish, tenExponential } from \"../common/bignumber\";\nimport { createLogger } from \"../common/logger\";\n\nimport { Fraction } from \"./fraction\";\nimport { Token } from \"./token\";\n\nconst logger = createLogger(\"Raydium_price\");\n\ninterface PriceProps {\n  baseToken: Token;\n  denominator: BigNumberish;\n  quoteToken: Token;\n  numerator: BigNumberish;\n}\n\nexport class Price extends Fraction {\n  public readonly baseToken: Token; // input i.e. denominator\n  public readonly quoteToken: Token; // output i.e. numerator\n  // used to adjust the raw fraction w/r/t the decimals of the {base,quote}Token\n  public readonly scalar: Fraction;\n\n  // denominator and numerator _must_ be raw, i.e. in the native representation\n  public constructor(params: PriceProps) {\n    const { baseToken, quoteToken, numerator, denominator } = params;\n    super(numerator, denominator);\n\n    this.baseToken = baseToken;\n    this.quoteToken = quoteToken;\n    this.scalar = new Fraction(tenExponential(baseToken.decimals), tenExponential(quoteToken.decimals));\n  }\n\n  public get raw(): Fraction {\n    return new Fraction(this.numerator, this.denominator);\n  }\n\n  public get adjusted(): Fraction {\n    return super.mul(this.scalar);\n  }\n\n  public invert(): Price {\n    return new Price({\n      baseToken: this.quoteToken,\n      quoteToken: this.baseToken,\n      denominator: this.numerator,\n      numerator: this.denominator,\n    });\n  }\n\n  public mul(other: Price): Price {\n    if (this.quoteToken !== other.baseToken) logger.logWithError(\"mul token not equals\");\n\n    const fraction = super.mul(other);\n    return new Price({\n      baseToken: this.baseToken,\n      quoteToken: other.quoteToken,\n      denominator: fraction.denominator,\n      numerator: fraction.numerator,\n    });\n  }\n\n  public toSignificant(significantDigits = this.quoteToken.decimals, format?: object, rounding?: Rounding): string {\n    return this.adjusted.toSignificant(significantDigits, format, rounding);\n  }\n\n  public toFixed(decimalPlaces = this.quoteToken.decimals, format?: object, rounding?: Rounding): string {\n    return this.adjusted.toFixed(decimalPlaces, format, rounding);\n  }\n}\n","import { PublicKey } from \"@solana/web3.js\";\n\nimport { TOKEN_PROGRAM_ID } from \"@solana/spl-token\";\nimport { findProgramAddress } from \"./txTool/txUtils\";\n\nexport function getATAAddress(\n  owner: PublicKey,\n  mint: PublicKey,\n  programId?: PublicKey,\n): {\n  publicKey: PublicKey;\n  nonce: number;\n} {\n  return findProgramAddress(\n    [owner.toBuffer(), (programId ?? TOKEN_PROGRAM_ID).toBuffer(), mint.toBuffer()],\n    new PublicKey(\"ATokenGPvbdGVxr1b2hvZbsiqW5xWH25efTNsLJA8knL\"),\n  );\n}\n","import {\n  Commitment,\n  ComputeBudgetProgram,\n  Connection,\n  EpochInfo,\n  Keypair,\n  PublicKey,\n  SimulatedTransactionResponse,\n  Transaction,\n  TransactionInstruction,\n  TransactionMessage,\n  VersionedTransaction,\n} from \"@solana/web3.js\";\n\nimport { createLogger } from \"../logger\";\nimport { CacheLTA } from \"./lookupTable\";\nimport { InstructionType } from \"./txType\";\n\nimport { ComputeBudgetConfig } from \"../../raydium/type\";\nimport { TOKEN_PROGRAM_ID } from \"@solana/spl-token\";\n\nconst logger = createLogger(\"Raydium_txUtil\");\n\nexport const MAX_BASE64_SIZE = 1644;\n\nexport function addComputeBudget(config: ComputeBudgetConfig): {\n  instructions: TransactionInstruction[];\n  instructionTypes: string[];\n} {\n  const ins: TransactionInstruction[] = [];\n  const insTypes: string[] = [];\n  if (config.microLamports) {\n    ins.push(ComputeBudgetProgram.setComputeUnitPrice({ microLamports: config.microLamports }));\n    insTypes.push(InstructionType.SetComputeUnitPrice);\n  }\n  if (config.units) {\n    ins.push(ComputeBudgetProgram.setComputeUnitLimit({ units: config.units }));\n    insTypes.push(InstructionType.SetComputeUnitLimit);\n  }\n\n  return {\n    instructions: ins,\n    instructionTypes: insTypes,\n  };\n}\n\nexport async function getRecentBlockHash(connection: Connection, propsCommitment?: Commitment): Promise<string> {\n  const commitment = propsCommitment ?? \"confirmed\";\n  return (await connection.getLatestBlockhash?.({ commitment }))?.blockhash;\n}\n\nexport async function confirmTransaction(connection: Connection, txId: string): Promise<string> {\n  connection.getSignatureStatuses([txId]);\n  return new Promise((resolve, reject) => {\n    const id = setTimeout(reject, 60 * 1000);\n    connection.onSignature(\n      txId,\n      (signatureResult) => {\n        clearTimeout(id);\n        if (!signatureResult.err) {\n          resolve(\"\");\n          return;\n        }\n        reject(Object.assign(signatureResult.err, { txId }));\n      },\n      \"confirmed\",\n    );\n  });\n}\n\n/**\n * Forecast transaction size\n */\nexport function forecastTransactionSize(instructions: TransactionInstruction[], signers: PublicKey[]): boolean {\n  if (instructions.length < 1) logger.logWithError(`no instructions provided: ${instructions.toString()}`);\n  if (signers.length < 1) logger.logWithError(`no signers provided:, ${signers.toString()}`);\n\n  const transaction = new Transaction();\n  transaction.recentBlockhash = \"11111111111111111111111111111111\";\n  transaction.feePayer = signers[0];\n  transaction.add(...instructions);\n\n  try {\n    return Buffer.from(transaction.serialize({ verifySignatures: false })).toString(\"base64\").length < MAX_BASE64_SIZE;\n  } catch (error) {\n    return false;\n  }\n}\n\n/**\n * Simulates multiple instruction\n */\n/**\n * Simulates multiple instruction\n */\nexport async function simulateMultipleInstruction(\n  connection: Connection,\n  instructions: TransactionInstruction[],\n  keyword: string,\n  batchRequest = true,\n): Promise<string[]> {\n  const feePayer = new PublicKey(\"RaydiumSimuLateTransaction11111111111111111\");\n\n  const transactions: Transaction[] = [];\n\n  let transaction = new Transaction();\n  transaction.feePayer = feePayer;\n\n  for (const instruction of instructions) {\n    if (!forecastTransactionSize([...transaction.instructions, instruction], [feePayer])) {\n      transactions.push(transaction);\n      transaction = new Transaction();\n      transaction.feePayer = feePayer;\n    }\n    transaction.add(instruction);\n  }\n  if (transaction.instructions.length > 0) {\n    transactions.push(transaction);\n  }\n\n  let results: SimulatedTransactionResponse[] = [];\n\n  try {\n    results = await simulateTransaction(connection, transactions, batchRequest);\n    if (results.find((i) => i.err !== null)) throw Error(\"rpc simulateTransaction error\");\n  } catch (error) {\n    if (error instanceof Error) {\n      logger.logWithError(\"failed to simulate for instructions\", \"RPC_ERROR\", {\n        message: error.message,\n      });\n    }\n  }\n\n  const logs: string[] = [];\n  for (const result of results) {\n    logger.debug(\"simulate result:\", result);\n\n    if (result.logs) {\n      const filteredLog = result.logs.filter((log) => log && log.includes(keyword));\n      logger.debug(\"filteredLog:\", logs);\n      if (!filteredLog.length) logger.logWithError(\"simulate log not match keyword\", \"keyword\", keyword);\n      logs.push(...filteredLog);\n    }\n  }\n\n  return logs;\n}\n\nexport function parseSimulateLogToJson(log: string, keyword: string): any {\n  const results = log.match(/{[\"\\w:,]+}/g);\n  if (!results || results.length !== 1) {\n    return logger.logWithError(`simulate log fail to match json, keyword: ${keyword}`);\n  }\n\n  return results[0];\n}\n\nexport function parseSimulateValue(log: string, key: string): any {\n  const reg = new RegExp(`\"${key}\":(\\\\d+)`, \"g\");\n\n  const results = reg.exec(log);\n  if (!results || results.length !== 2) {\n    return logger.logWithError(`simulate log fail to match key\", key: ${key}`);\n  }\n\n  return results[1];\n}\n\nexport interface ProgramAddress {\n  publicKey: PublicKey;\n  nonce: number;\n}\nexport function findProgramAddress(\n  seeds: Array<Buffer | Uint8Array>,\n  programId: PublicKey,\n): {\n  publicKey: PublicKey;\n  nonce: number;\n} {\n  const [publicKey, nonce] = PublicKey.findProgramAddressSync(seeds, programId);\n  return { publicKey, nonce };\n}\n\nexport async function simulateTransaction(\n  connection: Connection,\n  transactions: Transaction[],\n  batchRequest?: boolean,\n): Promise<any[]> {\n  let results: any[] = [];\n  if (batchRequest) {\n    const getLatestBlockhash = await connection.getLatestBlockhash();\n\n    const encodedTransactions: string[] = [];\n    for (const transaction of transactions) {\n      transaction.recentBlockhash = getLatestBlockhash.blockhash;\n      transaction.lastValidBlockHeight = getLatestBlockhash.lastValidBlockHeight;\n\n      // eslint-disable-next-line @typescript-eslint/ban-ts-comment\n      // @ts-ignore\n      const message = transaction._compile();\n      const signData = message.serialize();\n\n      // eslint-disable-next-line @typescript-eslint/ban-ts-comment\n      // @ts-ignore\n      const wireTransaction = transaction._serialize(signData);\n      const encodedTransaction = wireTransaction.toString(\"base64\");\n\n      encodedTransactions.push(encodedTransaction);\n    }\n\n    const batch = encodedTransactions.map((keys) => {\n      const args = connection._buildArgs([keys], undefined, \"base64\");\n      return {\n        methodName: \"simulateTransaction\",\n        args,\n      };\n    });\n\n    const reqData: { methodName: string; args: any[] }[][] = [];\n    const itemReqIndex = 20;\n    for (let i = 0; i < Math.ceil(batch.length / itemReqIndex); i++) {\n      reqData.push(batch.slice(i * itemReqIndex, (i + 1) * itemReqIndex));\n    }\n    // eslint-disable-next-line @typescript-eslint/ban-ts-comment\n    // @ts-ignore\n    results = await (\n      await Promise.all(\n        reqData.map(async (i) => (await (connection as any)._rpcBatchRequest(i)).map((ii) => ii.result.value)),\n      )\n    ).flat();\n  } else {\n    try {\n      results = await Promise.all(\n        transactions.map(async (transaction) => await (await connection.simulateTransaction(transaction)).value),\n      );\n    } catch (error) {\n      if (error instanceof Error) {\n        logger.logWithError(\"failed to get info for multiple accounts\", \"RPC_ERROR\", {\n          message: error.message,\n        });\n      }\n    }\n  }\n\n  return results;\n}\n\nexport function checkLegacyTxSize({\n  instructions,\n  payer,\n  signers,\n}: {\n  instructions: TransactionInstruction[];\n  payer: PublicKey;\n  signers: PublicKey[];\n}): boolean {\n  return forecastTransactionSize(instructions, [payer, ...signers]);\n}\n\nexport function checkV0TxSize({\n  instructions,\n  payer,\n  lookupTableAddressAccount,\n  recentBlockhash = Keypair.generate().publicKey.toString(),\n}: {\n  instructions: TransactionInstruction[];\n  payer: PublicKey;\n  lookupTableAddressAccount?: CacheLTA;\n  recentBlockhash?: string;\n}): boolean {\n  const transactionMessage = new TransactionMessage({\n    payerKey: payer,\n    recentBlockhash,\n    instructions,\n  });\n\n  const messageV0 = transactionMessage.compileToV0Message(Object.values(lookupTableAddressAccount ?? {}));\n  try {\n    const buildLength = Buffer.from(new VersionedTransaction(messageV0).serialize()).toString(\"base64\").length;\n    return buildLength < MAX_BASE64_SIZE;\n  } catch (error) {\n    return false;\n  }\n}\n\nlet epochInfoCache: { time: number; data?: EpochInfo } = {\n  time: 0,\n  data: undefined,\n};\n\nexport async function getEpochInfo(connection: Connection): Promise<EpochInfo> {\n  if (!epochInfoCache.data || (Date.now() - epochInfoCache.time) / 1000 > 30) {\n    const data = await connection.getEpochInfo();\n    epochInfoCache = {\n      time: Date.now(),\n      data,\n    };\n    return data;\n  } else {\n    return epochInfoCache.data;\n  }\n}\n\nexport const toBuffer = (arr: Buffer | Uint8Array | Array<number>): Buffer => {\n  if (Buffer.isBuffer(arr)) {\n    return arr;\n  } else if (arr instanceof Uint8Array) {\n    return Buffer.from(arr.buffer, arr.byteOffset, arr.byteLength);\n  } else {\n    return Buffer.from(arr);\n  }\n};\n\nexport const txToBase64 = (transaction: Transaction | VersionedTransaction): string => {\n  let serialized = transaction.serialize({ requireAllSignatures: false, verifySignatures: false });\n  if (transaction instanceof VersionedTransaction) serialized = toBuffer(serialized);\n  try {\n    return serialized instanceof Buffer ? serialized.toString(\"base64\") : Buffer.from(serialized).toString(\"base64\");\n  } catch {\n    return serialized.toString(\"base64\");\n  }\n};\n\nexport function printSimulate(transactions: Transaction[] | VersionedTransaction[]): string[] {\n  const allBase64: string[] = [];\n  transactions.forEach((transaction) => {\n    if (transaction instanceof Transaction) {\n      if (!transaction.recentBlockhash) transaction.recentBlockhash = TOKEN_PROGRAM_ID.toBase58();\n      if (!transaction.feePayer) transaction.feePayer = Keypair.generate().publicKey;\n    }\n    allBase64.push(txToBase64(transaction));\n  });\n  console.log(\"simulate tx string:\", allBase64);\n\n  return allBase64;\n}\n\nexport function transformTxToBase64(tx: Transaction | VersionedTransaction): string {\n  let serialized = tx.serialize({ requireAllSignatures: false, verifySignatures: false });\n  if (tx instanceof VersionedTransaction) serialized = toBuffer(serialized);\n  return serialized.toString(\"base64\");\n}\n","import { PublicKey } from \"@solana/web3.js\";\n\n// raydium\nexport const FARM_PROGRAM_ID_V3 = new PublicKey(\"EhhTKczWMGQt46ynNeRX1WfeagwwJd7ufHvCDjRxjo5Q\");\n// temp fusion\nexport const FARM_PROGRAM_ID_V4 = new PublicKey(\"CBuCnLe26faBpcBP2fktp4rp8abpcAnTWft6ZrP5Q4T\");\n// \"fusion\"\nexport const FARM_PROGRAM_ID_V5 = new PublicKey(\"9KEPoZmtHUrBbhWN1v1KWLMkkvwY6WLtAVUCPRtRjP4z\");\n// echosystem\nexport const FARM_PROGRAM_ID_V6 = new PublicKey(\"FarmqiPv5eAj3j1GMdMCMUGXqPUvmquZtMy86QH6rzhG\");\n\nexport const UTIL1216 = new PublicKey(\"CLaimxFqjHzgTJtAGHU47NPhg6qrc5sCnpC4tBLyABQS\");\n\nexport const OPEN_BOOK_PROGRAM = new PublicKey(\"srmqPvymJeFKQ4zGQed1GFppgkRHL9kaELCbyksJtPX\");\nexport const SERUM_PROGRAM_ID_V3 = new PublicKey(\"9xQeWvG816bUx9EPjHmaT23yvVM2ZWbrrpZb9PusVFin\");\n\nexport const AMM_V4 = new PublicKey(\"675kPX9MHTjS2zt1qfr1NYHuzeLXfQM9H24wFSUt1Mp8\");\nexport const AMM_STABLE = new PublicKey(\"5quBtoiQqxF9Jv6KYKctB59NT3gtJD2Y65kdnB1Uev3h\");\nexport const LIQUIDITY_POOL_PROGRAM_ID_V5_MODEL = new PublicKey(\"CDSr3ssLcRB6XYPJwAfFt18MZvEZp4LjHcvzBVZ45duo\");\nexport const CLMM_PROGRAM_ID = new PublicKey(\"CAMMCzo5YL8w4VFF8KVHrK22GGUsp5VTaW7grrKgrWqK\");\nexport const CLMM_LOCK_PROGRAM_ID = new PublicKey(\"LockrWmn6K5twhz3y9w1dQERbmgSaRkfnTeTKbpofwE\");\nexport const CLMM_LOCK_AUTH_ID = new PublicKey(\"kN1kEznaF5Xbd8LYuqtEFcxzWSBk5Fv6ygX6SqEGJVy\");\n\nexport const MODEL_DATA_PUBKEY = new PublicKey(\"CDSr3ssLcRB6XYPJwAfFt18MZvEZp4LjHcvzBVZ45duo\");\n\nexport const Router = new PublicKey(\"routeUGWgWzqBWFcrCfv8tritsqukccJPu3q5GPP3xS\");\nexport const FEE_DESTINATION_ID = new PublicKey(\"7YttLkHDoNj9wyDur5pM1ejNaAvT9X4eqaYcHQqtj2G5\");\n\nexport const IDO_PROGRAM_ID_V1 = new PublicKey(\"6FJon3QE27qgPVggARueB22hLvoh22VzJpXv4rBEoSLF\");\nexport const IDO_PROGRAM_ID_V2 = new PublicKey(\"CC12se5To1CdEuw7fDS27B7Geo5jJyL7t5UK2B44NgiH\");\nexport const IDO_PROGRAM_ID_V3 = new PublicKey(\"9HzJyW1qZsEiSfMUf6L2jo3CcTKAyBmSyKdwQeYisHrC\");\nexport const IDO_PROGRAM_ID_V4 = new PublicKey(\"DropEU8AvevN3UrXWXTMuz3rqnMczQVNjq3kcSdW2SQi\");\n\nexport const CREATE_CPMM_POOL_PROGRAM = new PublicKey(\"CPMMoo8L3F4NbTegBCKVNunggL7H1ZpdTHKxQB5qKP1C\");\nexport const CREATE_CPMM_POOL_AUTH = new PublicKey(\"GpMZbSM2GgvTKHJirzeGfMFoaZ8UR2X7F4v8vHTvxFbL\");\nexport const CREATE_CPMM_POOL_FEE_ACC = new PublicKey(\"DNXgeM9EiiaAbaWvwjHj9fQQLAX5ZsfHyvmYUNRAdNC8\");\n\nexport const LOCK_CPMM_PROGRAM = new PublicKey(\"LockrWmn6K5twhz3y9w1dQERbmgSaRkfnTeTKbpofwE\");\n\nexport const LOCK_CPMM_AUTH = new PublicKey(\"3f7GcQFG397GAaEnv51zR6tsTVihYRydnydDD1cXekxH\");\n\nexport const LAUNCHPAD_PROGRAM = new PublicKey(\"LanMV9sAd7wArD4vJFi2qDdfnVhFxYSUg6eADduJ3uj\");\nexport const LAUNCHPAD_AUTH = new PublicKey(\"WLHv2UAZm6z4KyaaELi5pjdbJh6RESMva1Rnn8pJVVh\");\n\nexport const DEV_LAUNCHPAD_PROGRAM = new PublicKey(\"DRay6fNdQ5J82H7xV6uq2aV3mNrUZ1J4PgSKsWgptcm6\");\nexport const DEV_LAUNCHPAD_AUTH = new PublicKey(\"5xqNaZXX5eUi4p5HU4oz9i5QnwRNT2y6oN7yyn4qENeq\");\n\nexport const LAUNCHPAD_PLATFORM = new PublicKey(\"4Bu96XjU84XjPDSpveTVf6LYGCkfW5FK7SNkREWcEfV4\");\n\nexport const LAUNCHPAD_CONFIG = new PublicKey(\"6s1xP3hpbAfFoNtUNF8mfHsjr2Bd97JxFJRWLbL6aHuX\");\n\nexport const IDO_ALL_PROGRAM = {\n  IDO_PROGRAM_ID_V1,\n  IDO_PROGRAM_ID_V2,\n  IDO_PROGRAM_ID_V3,\n  IDO_PROGRAM_ID_V4,\n};\n\nexport const ALL_PROGRAM_ID = {\n  AMM_V4,\n  AMM_STABLE,\n\n  CLMM_PROGRAM_ID,\n  CLMM_LOCK_PROGRAM_ID,\n  CLMM_LOCK_AUTH_ID,\n\n  FARM_PROGRAM_ID_V3,\n  FARM_PROGRAM_ID_V4,\n  FARM_PROGRAM_ID_V5,\n  FARM_PROGRAM_ID_V6,\n\n  OPEN_BOOK_PROGRAM,\n  SERUM_PROGRAM_ID_V3,\n\n  UTIL1216,\n\n  Router,\n\n  CREATE_CPMM_POOL_PROGRAM,\n  CREATE_CPMM_POOL_AUTH,\n  CREATE_CPMM_POOL_FEE_ACC,\n\n  LOCK_CPMM_PROGRAM,\n  LOCK_CPMM_AUTH,\n\n  LAUNCHPAD_PROGRAM,\n  LAUNCHPAD_AUTH,\n\n  LAUNCHPAD_PLATFORM,\n  LAUNCHPAD_CONFIG,\n\n  FEE_DESTINATION_ID,\n\n  MODEL_DATA_PUBKEY,\n};\n\nexport type ProgramIdConfig = Partial<typeof ALL_PROGRAM_ID>;\n\nexport const DEVNET_PROGRAM_ID: typeof ALL_PROGRAM_ID = {\n  OPEN_BOOK_PROGRAM: new PublicKey(\"EoTcMgcDRTJVZDMZWBoU6rhYHZfkNTVEAfz3uUJRcYGj\"),\n  SERUM_PROGRAM_ID_V3: new PublicKey(\"Ray1111111111111111111111111111111111111111\"),\n  AMM_V4: new PublicKey(\"DRaya7Kj3aMWQSy19kSjvmuwq9docCHofyP9kanQGaav\"),\n  AMM_STABLE: new PublicKey(\"DRayDdXc1NZQ9C3hRWmoSf8zK4iapgMnjdNZWrfwsP8m\"),\n\n  CLMM_PROGRAM_ID: new PublicKey(\"DRayAUgENGQBKVaX8owNhgzkEDyoHTGVEGHVJT1E9pfH\"),\n  CLMM_LOCK_PROGRAM_ID: new PublicKey(\"DRay25Usp3YJAi7beckgpGUC7mGJ2cR1AVPxhYfwVCUX\"),\n  CLMM_LOCK_AUTH_ID: new PublicKey(\"6Aoh8h2Lw2m5UGxYR8AdAL87jTWYeKoxM52mJRzfYwN\"),\n\n  CREATE_CPMM_POOL_PROGRAM: new PublicKey(\"DRaycpLY18LhpbydsBWbVJtxpNv9oXPgjRSfpF2bWpYb\"),\n  CREATE_CPMM_POOL_AUTH: new PublicKey(\"CXniRufdq5xL8t8jZAPxsPZDpuudwuJSPWnbcD5Y5Nxq\"),\n  CREATE_CPMM_POOL_FEE_ACC: new PublicKey(\"3oE58BKVt8KuYkGxx8zBojugnymWmBiyafWgMrnb6eYy\"),\n\n  LOCK_CPMM_PROGRAM: new PublicKey(\"DRay25Usp3YJAi7beckgpGUC7mGJ2cR1AVPxhYfwVCUX\"),\n  LOCK_CPMM_AUTH: new PublicKey(\"7qWVV8UY2bRJfDLP4s37YzBPKUkVB46DStYJBpYbQzu3\"),\n\n  UTIL1216: PublicKey.default,\n\n  Router: new PublicKey(\"DRaybByLpbUL57LJARs3j8BitTxVfzBg351EaMr5UTCd\"),\n\n  FARM_PROGRAM_ID_V3: new PublicKey(\"DRayWyrLmEW5KEeqs8kdTMMaBabapqagaBC7KWpGtJeZ\"),\n  FARM_PROGRAM_ID_V4: new PublicKey(\"Ray1111111111111111111111111111111111111111\"),\n  FARM_PROGRAM_ID_V5: new PublicKey(\"DRayiCGSZgku1GTK6rXD6mVDdingXy6APAH1R6R5L2LC\"),\n  FARM_PROGRAM_ID_V6: new PublicKey(\"DRayzbYakXs45ELHkzH6vC3fuhQqTAnv5A68gdFuvZyZ\"),\n\n  LAUNCHPAD_PROGRAM: new PublicKey(\"DRay6fNdQ5J82H7xV6uq2aV3mNrUZ1J4PgSKsWgptcm6\"),\n  LAUNCHPAD_AUTH: new PublicKey(\"5xqNaZXX5eUi4p5HU4oz9i5QnwRNT2y6oN7yyn4qENeq\"),\n\n  LAUNCHPAD_PLATFORM: new PublicKey(\"2Jx4KTDrVSdWNazuGpcA8n3ZLTRGGBDxAWhuKe2Xcj2a\"),\n  LAUNCHPAD_CONFIG: new PublicKey(\"7ZR4zD7PYfY2XxoG1Gxcy2EgEeGYrpxrwzPuwdUBssEt\"),\n\n  FEE_DESTINATION_ID: new PublicKey(\"9y8ENuuZ3b19quffx9hQvRVygG5ky6snHfRvGpuSfeJy\"),\n\n  MODEL_DATA_PUBKEY: new PublicKey(\"Ray1111111111111111111111111111111111111111\"),\n};\n","import { EpochInfo } from \"@solana/web3.js\";\nimport BN from \"bn.js\";\nimport { TransferFee, TransferFeeConfig } from \"@solana/spl-token\";\n\nimport { TransferFeeDataBaseType } from \"../api/type\";\nimport { GetTransferAmountFee } from \"../raydium/type\";\n\nconst POINT = 10_000;\nexport function getTransferAmountFee(\n  amount: BN,\n  feeConfig: TransferFeeConfig | undefined,\n  epochInfo: EpochInfo,\n  addFee: boolean,\n): GetTransferAmountFee {\n  if (feeConfig === undefined) {\n    return {\n      amount,\n      fee: undefined,\n      expirationTime: undefined,\n    };\n  }\n\n  const nowFeeConfig: TransferFee =\n    epochInfo.epoch < feeConfig.newerTransferFee.epoch ? feeConfig.olderTransferFee : feeConfig.newerTransferFee;\n  const maxFee = new BN(nowFeeConfig.maximumFee.toString());\n  const expirationTime: number | undefined =\n    epochInfo.epoch < feeConfig.newerTransferFee.epoch\n      ? ((Number(feeConfig.newerTransferFee.epoch) * epochInfo.slotsInEpoch - epochInfo.absoluteSlot) * 400) / 1000\n      : undefined;\n\n  if (addFee) {\n    if (nowFeeConfig.transferFeeBasisPoints === POINT) {\n      const nowMaxFee = new BN(nowFeeConfig.maximumFee.toString());\n      return {\n        amount: amount.add(nowMaxFee),\n        fee: nowMaxFee,\n        expirationTime,\n      };\n    } else {\n      const _TAmount = BNDivCeil(amount.mul(new BN(POINT)), new BN(POINT - nowFeeConfig.transferFeeBasisPoints));\n\n      const nowMaxFee = new BN(nowFeeConfig.maximumFee.toString());\n      const TAmount = _TAmount.sub(amount).gt(nowMaxFee) ? amount.add(nowMaxFee) : _TAmount;\n\n      const _fee = BNDivCeil(TAmount.mul(new BN(nowFeeConfig.transferFeeBasisPoints)), new BN(POINT));\n      const fee = _fee.gt(maxFee) ? maxFee : _fee;\n      return {\n        amount: TAmount,\n        fee,\n        expirationTime,\n      };\n    }\n  } else {\n    const _fee = BNDivCeil(amount.mul(new BN(nowFeeConfig.transferFeeBasisPoints)), new BN(POINT));\n    const fee = _fee.gt(maxFee) ? maxFee : _fee;\n\n    return {\n      amount,\n      fee,\n      expirationTime,\n    };\n  }\n}\n\nexport function getTransferAmountFeeV2(\n  amount: BN,\n  _feeConfig: TransferFeeDataBaseType | undefined,\n  epochInfo: EpochInfo,\n  addFee: boolean,\n): GetTransferAmountFee {\n  if (_feeConfig === undefined) {\n    return {\n      amount,\n      fee: undefined,\n      expirationTime: undefined,\n    };\n  }\n  const feeConfig = {\n    ..._feeConfig,\n    olderTransferFee: {\n      epoch: BigInt(_feeConfig.olderTransferFee.epoch),\n      maximumFee: BigInt(_feeConfig.olderTransferFee.maximumFee),\n      transferFeeBasisPoints: _feeConfig.olderTransferFee.transferFeeBasisPoints,\n    },\n    newerTransferFee: {\n      epoch: BigInt(_feeConfig.newerTransferFee.epoch),\n      maximumFee: BigInt(_feeConfig.newerTransferFee.maximumFee),\n      transferFeeBasisPoints: _feeConfig.newerTransferFee.transferFeeBasisPoints,\n    },\n  };\n\n  const nowFeeConfig: TransferFee =\n    epochInfo.epoch < feeConfig.newerTransferFee.epoch ? feeConfig.olderTransferFee : feeConfig.newerTransferFee;\n  const maxFee = new BN(nowFeeConfig.maximumFee.toString());\n  const expirationTime: number | undefined =\n    epochInfo.epoch < feeConfig.newerTransferFee.epoch\n      ? ((Number(feeConfig.newerTransferFee.epoch) * epochInfo.slotsInEpoch - epochInfo.absoluteSlot) * 400) / 1000\n      : undefined;\n\n  if (addFee) {\n    if (nowFeeConfig.transferFeeBasisPoints === POINT) {\n      const nowMaxFee = new BN(nowFeeConfig.maximumFee.toString());\n      return {\n        amount: amount.add(nowMaxFee),\n        fee: nowMaxFee,\n        expirationTime,\n      };\n    } else {\n      const _TAmount = BNDivCeil(amount.mul(new BN(POINT)), new BN(POINT - nowFeeConfig.transferFeeBasisPoints));\n\n      const nowMaxFee = new BN(nowFeeConfig.maximumFee.toString());\n      const TAmount = _TAmount.sub(amount).gt(nowMaxFee) ? amount.add(nowMaxFee) : _TAmount;\n\n      const _fee = BNDivCeil(TAmount.mul(new BN(nowFeeConfig.transferFeeBasisPoints)), new BN(POINT));\n      const fee = _fee.gt(maxFee) ? maxFee : _fee;\n      return {\n        amount: TAmount,\n        fee,\n        expirationTime,\n      };\n    }\n  } else {\n    const _fee = BNDivCeil(amount.mul(new BN(nowFeeConfig.transferFeeBasisPoints)), new BN(POINT));\n    const fee = _fee.gt(maxFee) ? maxFee : _fee;\n\n    return {\n      amount,\n      fee,\n      expirationTime,\n    };\n  }\n}\n\nexport function minExpirationTime(\n  expirationTime1: number | undefined,\n  expirationTime2: number | undefined,\n): number | undefined {\n  if (expirationTime1 === undefined) return expirationTime2;\n  if (expirationTime2 === undefined) return expirationTime1;\n\n  return Math.min(expirationTime1, expirationTime2);\n}\n\nexport function BNDivCeil(bn1: BN, bn2: BN): BN {\n  const { div, mod } = bn1.divmod(bn2);\n\n  if (mod.gt(new BN(0))) {\n    return div.add(new BN(1));\n  } else {\n    return div;\n  }\n}\n\nexport function ceilDivBN(amountA: BN, amountB: BN): BN {\n  if (amountA.isZero()) return new BN(0);\n\n  const quotient = amountA.div(amountB);\n\n  if (quotient.isZero()) return new BN(1);\n\n  const remainder = amountA.mod(amountB);\n  if (remainder.gt(new BN(0))) {\n    return quotient.add(new BN(1));\n  }\n  return quotient;\n}\n\nexport function getTransferAmountFeeFromPre(\n  amount: BN,\n  feeConfig: TransferFeeConfig | undefined,\n  slot: number,\n): GetTransferAmountFee {\n  if (feeConfig === undefined) {\n    return {\n      amount,\n      fee: undefined,\n      expirationTime: undefined,\n    };\n  }\n  const epoch = Math.floor(slot / 432000);\n  const nowFeeConfig: TransferFee =\n    epoch < feeConfig.newerTransferFee.epoch ? feeConfig.olderTransferFee : feeConfig.newerTransferFee;\n  const maxFee = new BN(nowFeeConfig.maximumFee.toString());\n  const expirationTime: number | undefined =\n    epoch < feeConfig.newerTransferFee.epoch\n      ? ((Number(feeConfig.newerTransferFee.epoch) * 432000 - slot) * 400) / 1000\n      : undefined;\n  const _fee = BNDivCeil(amount.mul(new BN(nowFeeConfig.transferFeeBasisPoints)), new BN(POINT));\n  const fee = _fee.gt(maxFee) ? maxFee : _fee;\n  return {\n    amount,\n    fee,\n    expirationTime,\n  };\n}\nexport function getTransferAmountFeeFromPost(\n  amount: BN,\n  feeConfig: TransferFeeConfig | undefined,\n  slot: number,\n): GetTransferAmountFee {\n  if (feeConfig === undefined) {\n    return {\n      amount,\n      fee: undefined,\n      expirationTime: undefined,\n    };\n  }\n  const epoch = Math.floor(slot / 432000);\n  const nowFeeConfig: TransferFee =\n    epoch < feeConfig.newerTransferFee.epoch ? feeConfig.olderTransferFee : feeConfig.newerTransferFee;\n  const maxFee = new BN(nowFeeConfig.maximumFee.toString());\n  const expirationTime: number | undefined =\n    epoch < feeConfig.newerTransferFee.epoch\n      ? ((Number(feeConfig.newerTransferFee.epoch) * 432000 - slot) * 400) / 1000\n      : undefined;\n  if (nowFeeConfig.transferFeeBasisPoints === POINT) {\n    const nowMaxFee = new BN(nowFeeConfig.maximumFee.toString());\n    return {\n      amount: amount.add(nowMaxFee),\n      fee: nowMaxFee,\n      expirationTime,\n    };\n  } else {\n    const _TAmount = BNDivCeil(amount.mul(new BN(POINT)), new BN(POINT - nowFeeConfig.transferFeeBasisPoints));\n    const nowMaxFee = new BN(nowFeeConfig.maximumFee.toString());\n    const TAmount = _TAmount.sub(amount).gt(nowMaxFee) ? amount.add(nowMaxFee) : _TAmount;\n    const _fee = BNDivCeil(TAmount.mul(new BN(nowFeeConfig.transferFeeBasisPoints)), new BN(POINT));\n    const fee = _fee.gt(maxFee) ? maxFee : _fee;\n    return {\n      amount: TAmount,\n      fee,\n      expirationTime,\n    };\n  }\n}\n","import { Connection, PublicKey, AddressLookupTableAccount } from \"@solana/web3.js\";\nimport { getMultipleAccountsInfo } from \"../accountInfo\";\n\nexport interface CacheLTA {\n  [key: string]: AddressLookupTableAccount;\n}\n\nexport async function getMultipleLookupTableInfo({\n  connection,\n  address,\n  cluster = \"mainnet\",\n}: {\n  connection: Connection;\n  address: PublicKey[];\n  cluster?: \"mainnet\" | \"devnet\";\n}): Promise<CacheLTA> {\n  const dataInfos = await getMultipleAccountsInfo(\n    connection,\n    [...new Set<string>(address.map((i) => i.toString()))].map((i) => new PublicKey(i)),\n  );\n\n  const outDict: CacheLTA = {};\n  for (let i = 0; i < address.length; i++) {\n    const info = dataInfos[i];\n    const key = address[i];\n    if (!info) continue;\n    const lookupAccount = new AddressLookupTableAccount({\n      key,\n      state: AddressLookupTableAccount.deserialize(info.data),\n    });\n    outDict[key.toString()] = lookupAccount;\n\n    if (cluster === \"devnet\") DEV_LOOKUP_TABLE_CACHE[key.toString()] = lookupAccount;\n    else LOOKUP_TABLE_CACHE[key.toString()] = lookupAccount;\n  }\n\n  return outDict;\n}\n\nexport const LOOKUP_TABLE_CACHE: CacheLTA = {\n  // AcL1Vo8oy1ULiavEcjSUcwfBSForXMudcZvDZy5nzJkU: new AddressLookupTableAccount({\n  //   key: new PublicKey(\"AcL1Vo8oy1ULiavEcjSUcwfBSForXMudcZvDZy5nzJkU\"),\n  //   state: AddressLookupTableAccount.deserialize(\n  //     Buffer.from(\n  //       \"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\",\n  //       \"base64\",\n  //     ),\n  //   ),\n  // }),\n};\n\nexport const getMainLookupTableCache = async (connection: Connection) => {\n  const altStr = \"AcL1Vo8oy1ULiavEcjSUcwfBSForXMudcZvDZy5nzJkU\";\n  if (LOOKUP_TABLE_CACHE[altStr]) return LOOKUP_TABLE_CACHE;\n\n  const devAlt = new PublicKey(altStr);\n  const data = await connection.getAccountInfo(devAlt);\n  if (!data) return LOOKUP_TABLE_CACHE;\n  LOOKUP_TABLE_CACHE[altStr] = new AddressLookupTableAccount({\n    key: devAlt,\n    state: AddressLookupTableAccount.deserialize(data.data),\n  });\n\n  return LOOKUP_TABLE_CACHE;\n};\n\nexport const DEV_LOOKUP_TABLE_CACHE: CacheLTA = {};\nexport const getDevLookupTableCache = async (connection: Connection) => {\n  const devAltStr = \"EFhMuDw1PKEuckuFRW9PavNfTH4LKP5uKHgyXDmWpFCq\";\n  if (DEV_LOOKUP_TABLE_CACHE[devAltStr]) return DEV_LOOKUP_TABLE_CACHE;\n\n  const devAlt = new PublicKey(devAltStr);\n  const data = await connection.getAccountInfo(devAlt);\n  if (!data) return DEV_LOOKUP_TABLE_CACHE;\n  DEV_LOOKUP_TABLE_CACHE[devAltStr] = new AddressLookupTableAccount({\n    key: devAlt,\n    state: AddressLookupTableAccount.deserialize(data.data),\n  });\n\n  return DEV_LOOKUP_TABLE_CACHE;\n};\n","import {\n  Commitment,\n  Connection,\n  PublicKey,\n  sendAndConfirmTransaction,\n  SignatureResult,\n  Signer,\n  SystemProgram,\n  Transaction,\n  TransactionInstruction,\n  TransactionMessage,\n  VersionedTransaction,\n} from \"@solana/web3.js\";\nimport axios from \"axios\";\n\nimport { Api } from \"../../api\";\nimport { ComputeBudgetConfig, SignAllTransactions, TxTipConfig } from \"../../raydium/type\";\nimport { Cluster } from \"../../solana\";\nimport { Owner } from \"../owner\";\nimport { CacheLTA, getDevLookupTableCache, getMainLookupTableCache, getMultipleLookupTableInfo } from \"./lookupTable\";\nimport { InstructionType, TxVersion } from \"./txType\";\nimport {\n  addComputeBudget,\n  checkLegacyTxSize,\n  checkV0TxSize,\n  confirmTransaction,\n  getRecentBlockHash,\n  printSimulate,\n} from \"./txUtils\";\n\ninterface SolanaFeeInfo {\n  min: number;\n  max: number;\n  avg: number;\n  priorityTx: number;\n  nonVotes: number;\n  priorityRatio: number;\n  avgCuPerBlock: number;\n  blockspaceUsageRatio: number;\n}\ntype SolanaFeeInfoJson = {\n  \"1\": SolanaFeeInfo;\n  \"5\": SolanaFeeInfo;\n  \"15\": SolanaFeeInfo;\n};\n\ninterface ExecuteParams {\n  skipPreflight?: boolean;\n  recentBlockHash?: string;\n  sendAndConfirm?: boolean;\n  notSendToRpc?: boolean;\n}\n\ninterface TxBuilderInit {\n  connection: Connection;\n  feePayer: PublicKey;\n  cluster: Cluster;\n  owner?: Owner;\n  blockhashCommitment?: Commitment;\n  loopMultiTxStatus?: boolean;\n  api?: Api;\n  signAllTransactions?: SignAllTransactions;\n}\n\nexport interface AddInstructionParam {\n  addresses?: Record<string, PublicKey>;\n  instructions?: TransactionInstruction[];\n  endInstructions?: TransactionInstruction[];\n  lookupTableAddress?: string[];\n  signers?: Signer[];\n  instructionTypes?: string[];\n  endInstructionTypes?: string[];\n}\n\nexport interface TxBuildData<T = Record<string, any>> {\n  builder: TxBuilder;\n  transaction: Transaction;\n  instructionTypes: string[];\n  signers: Signer[];\n  execute: (params?: ExecuteParams) => Promise<{ txId: string; signedTx: Transaction }>;\n  extInfo: T;\n}\n\nexport interface TxV0BuildData<T = Record<string, any>> extends Omit<TxBuildData<T>, \"transaction\" | \"execute\"> {\n  builder: TxBuilder;\n  transaction: VersionedTransaction;\n  buildProps?: {\n    lookupTableCache?: CacheLTA;\n    lookupTableAddress?: string[];\n  };\n  execute: (params?: ExecuteParams) => Promise<{ txId: string; signedTx: VersionedTransaction }>;\n}\n\ntype TxUpdateParams = {\n  txId: string;\n  status: \"success\" | \"error\" | \"sent\";\n  signedTx: Transaction | VersionedTransaction;\n};\nexport interface MultiTxExecuteParam extends ExecuteParams {\n  sequentially: boolean;\n  skipTxCount?: number;\n  onTxUpdate?: (completeTxs: TxUpdateParams[]) => void;\n}\nexport interface MultiTxBuildData<T = Record<string, any>> {\n  builder: TxBuilder;\n  transactions: Transaction[];\n  instructionTypes: string[];\n  signers: Signer[][];\n  execute: (executeParams?: MultiTxExecuteParam) => Promise<{ txIds: string[]; signedTxs: Transaction[] }>;\n  extInfo: T;\n}\n\nexport interface MultiTxV0BuildData<T = Record<string, any>>\n  extends Omit<MultiTxBuildData<T>, \"transactions\" | \"execute\"> {\n  builder: TxBuilder;\n  transactions: VersionedTransaction[];\n  buildProps?: {\n    lookupTableCache?: CacheLTA;\n    lookupTableAddress?: string[];\n  };\n  execute: (executeParams?: MultiTxExecuteParam) => Promise<{ txIds: string[]; signedTxs: VersionedTransaction[] }>;\n}\n\nexport type MakeMultiTxData<T = TxVersion.LEGACY, O = Record<string, any>> = T extends TxVersion.LEGACY\n  ? MultiTxBuildData<O>\n  : MultiTxV0BuildData<O>;\n\nexport type MakeTxData<T = TxVersion.LEGACY, O = Record<string, any>> = T extends TxVersion.LEGACY\n  ? TxBuildData<O>\n  : TxV0BuildData<O>;\n\nconst LOOP_INTERVAL = 2000;\n\nexport class TxBuilder {\n  private connection: Connection;\n  private owner?: Owner;\n  private instructions: TransactionInstruction[] = [];\n  private endInstructions: TransactionInstruction[] = [];\n  private lookupTableAddress: string[] = [];\n  private signers: Signer[] = [];\n  private instructionTypes: string[] = [];\n  private endInstructionTypes: string[] = [];\n  private feePayer: PublicKey;\n  private cluster: Cluster;\n  private signAllTransactions?: SignAllTransactions;\n  private blockhashCommitment?: Commitment;\n  private loopMultiTxStatus: boolean;\n\n  constructor(params: TxBuilderInit) {\n    this.connection = params.connection;\n    this.feePayer = params.feePayer;\n    this.signAllTransactions = params.signAllTransactions;\n    this.owner = params.owner;\n    this.cluster = params.cluster;\n    this.blockhashCommitment = params.blockhashCommitment;\n    this.loopMultiTxStatus = !!params.loopMultiTxStatus;\n  }\n\n  get AllTxData(): {\n    instructions: TransactionInstruction[];\n    endInstructions: TransactionInstruction[];\n    signers: Signer[];\n    instructionTypes: string[];\n    endInstructionTypes: string[];\n    lookupTableAddress: string[];\n  } {\n    return {\n      instructions: this.instructions,\n      endInstructions: this.endInstructions,\n      signers: this.signers,\n      instructionTypes: this.instructionTypes,\n      endInstructionTypes: this.endInstructionTypes,\n      lookupTableAddress: this.lookupTableAddress,\n    };\n  }\n\n  get allInstructions(): TransactionInstruction[] {\n    return [...this.instructions, ...this.endInstructions];\n  }\n\n  public async getComputeBudgetConfig(): Promise<ComputeBudgetConfig | undefined> {\n    const json = (\n      await axios.get<SolanaFeeInfoJson>(`https://solanacompass.com/api/fees?cacheFreshTime=${5 * 60 * 1000}`)\n    ).data;\n    const { avg } = json?.[15] ?? {};\n    if (!avg) return undefined;\n    return {\n      units: 600000,\n      microLamports: Math.min(Math.ceil((avg * 1000000) / 600000), 25000),\n    };\n  }\n\n  public addCustomComputeBudget(config?: ComputeBudgetConfig): boolean {\n    if (config) {\n      const { instructions, instructionTypes } = addComputeBudget(config);\n      this.instructions.unshift(...instructions);\n      this.instructionTypes.unshift(...instructionTypes);\n      return true;\n    }\n    return false;\n  }\n\n  public addTipInstruction(tipConfig?: TxTipConfig): boolean {\n    if (tipConfig) {\n      this.endInstructions.push(\n        SystemProgram.transfer({\n          fromPubkey: tipConfig.feePayer ?? this.feePayer,\n          toPubkey: new PublicKey(tipConfig.address),\n          lamports: BigInt(tipConfig.amount.toString()),\n        }),\n      );\n      this.endInstructionTypes.push(InstructionType.TransferTip);\n      return true;\n    }\n    return false;\n  }\n\n  public async calComputeBudget({\n    config: propConfig,\n    defaultIns,\n  }: {\n    config?: ComputeBudgetConfig;\n    defaultIns?: TransactionInstruction[];\n  }): Promise<void> {\n    try {\n      const config = propConfig || (await this.getComputeBudgetConfig());\n      if (this.addCustomComputeBudget(config)) return;\n      defaultIns && this.instructions.unshift(...defaultIns);\n    } catch {\n      defaultIns && this.instructions.unshift(...defaultIns);\n    }\n  }\n\n  public addInstruction({\n    instructions = [],\n    endInstructions = [],\n    signers = [],\n    instructionTypes = [],\n    endInstructionTypes = [],\n    lookupTableAddress = [],\n  }: AddInstructionParam): TxBuilder {\n    this.instructions.push(...instructions);\n    this.endInstructions.push(...endInstructions);\n    this.signers.push(...signers);\n    this.instructionTypes.push(...instructionTypes);\n    this.endInstructionTypes.push(...endInstructionTypes);\n    this.lookupTableAddress.push(...lookupTableAddress.filter((address) => address !== PublicKey.default.toString()));\n    return this;\n  }\n\n  public async versionBuild<O = Record<string, any>>({\n    txVersion,\n    extInfo,\n  }: {\n    txVersion?: TxVersion;\n    extInfo?: O;\n  }): Promise<MakeTxData<TxVersion.LEGACY, O> | MakeTxData<TxVersion.V0, O>> {\n    if (txVersion === TxVersion.V0) return (await this.buildV0({ ...(extInfo || {}) })) as MakeTxData<TxVersion.V0, O>;\n    return this.build<O>(extInfo) as MakeTxData<TxVersion.LEGACY, O>;\n  }\n\n  public build<O = Record<string, any>>(extInfo?: O): MakeTxData<TxVersion.LEGACY, O> {\n    const transaction = new Transaction();\n    if (this.allInstructions.length) transaction.add(...this.allInstructions);\n    transaction.feePayer = this.feePayer;\n    if (this.owner?.signer && !this.signers.some((s) => s.publicKey.equals(this.owner!.publicKey)))\n      this.signers.push(this.owner.signer);\n\n    return {\n      builder: this,\n      transaction,\n      signers: this.signers,\n      instructionTypes: [...this.instructionTypes, ...this.endInstructionTypes],\n      execute: async (params) => {\n        const { recentBlockHash: propBlockHash, skipPreflight = true, sendAndConfirm, notSendToRpc } = params || {};\n        const recentBlockHash = propBlockHash ?? (await getRecentBlockHash(this.connection, this.blockhashCommitment));\n        transaction.recentBlockhash = recentBlockHash;\n        if (this.signers.length) transaction.sign(...this.signers);\n\n        printSimulate([transaction]);\n        if (this.owner?.isKeyPair) {\n          const txId = sendAndConfirm\n            ? await sendAndConfirmTransaction(\n                this.connection,\n                transaction,\n                this.signers.find((s) => s.publicKey.equals(this.owner!.publicKey))\n                  ? this.signers\n                  : [...this.signers, this.owner.signer!],\n                { skipPreflight },\n              )\n            : await this.connection.sendRawTransaction(transaction.serialize(), { skipPreflight });\n\n          return {\n            txId,\n            signedTx: transaction,\n          };\n        }\n        if (this.signAllTransactions) {\n          const txs = await this.signAllTransactions([transaction]);\n          if (this.signers.length) {\n            for (const item of txs) {\n              try {\n                item.sign(...this.signers);\n              } catch (e) {\n                //\n              }\n            }\n          }\n          return {\n            txId: notSendToRpc ? \"\" : await this.connection.sendRawTransaction(txs[0].serialize(), { skipPreflight }),\n            signedTx: txs[0],\n          };\n        }\n        throw new Error(\"please provide owner in keypair format or signAllTransactions function\");\n      },\n      extInfo: extInfo || ({} as O),\n    };\n  }\n\n  public buildMultiTx<T = Record<string, any>>(params: {\n    extraPreBuildData?: MakeTxData<TxVersion.LEGACY>[];\n    extInfo?: T;\n  }): MultiTxBuildData {\n    const { extraPreBuildData = [], extInfo } = params;\n    const { transaction } = this.build(extInfo);\n\n    const filterExtraBuildData = extraPreBuildData.filter((data) => data.transaction.instructions.length > 0);\n\n    const allTransactions: Transaction[] = [transaction, ...filterExtraBuildData.map((data) => data.transaction)];\n    const allSigners: Signer[][] = [this.signers, ...filterExtraBuildData.map((data) => data.signers)];\n    const allInstructionTypes: string[] = [\n      ...this.instructionTypes,\n      ...filterExtraBuildData.map((data) => data.instructionTypes).flat(),\n    ];\n\n    if (this.owner?.signer) {\n      allSigners.forEach((signers) => {\n        if (!signers.some((s) => s.publicKey.equals(this.owner!.publicKey))) this.signers.push(this.owner!.signer!);\n      });\n    }\n\n    return {\n      builder: this,\n      transactions: allTransactions,\n      signers: allSigners,\n      instructionTypes: allInstructionTypes,\n      execute: async (executeParams?: MultiTxExecuteParam) => {\n        const {\n          sequentially,\n          onTxUpdate,\n          skipTxCount = 0,\n          recentBlockHash: propBlockHash,\n          skipPreflight = true,\n        } = executeParams || {};\n        const recentBlockHash = propBlockHash ?? (await getRecentBlockHash(this.connection, this.blockhashCommitment));\n        if (this.owner?.isKeyPair) {\n          if (sequentially) {\n            const txIds: string[] = [];\n            let i = 0;\n            for (const tx of allTransactions) {\n              ++i;\n              if (i <= skipTxCount) continue;\n              const txId = await sendAndConfirmTransaction(\n                this.connection,\n                tx,\n                this.signers.find((s) => s.publicKey.equals(this.owner!.publicKey))\n                  ? this.signers\n                  : [...this.signers, this.owner.signer!],\n                { skipPreflight },\n              );\n              txIds.push(txId);\n            }\n\n            return {\n              txIds,\n              signedTxs: allTransactions,\n            };\n          }\n          return {\n            txIds: await await Promise.all(\n              allTransactions.map(async (tx) => {\n                tx.recentBlockhash = recentBlockHash;\n                return await this.connection.sendRawTransaction(tx.serialize(), { skipPreflight });\n              }),\n            ),\n            signedTxs: allTransactions,\n          };\n        }\n\n        if (this.signAllTransactions) {\n          const partialSignedTxs = allTransactions.map((tx, idx) => {\n            tx.recentBlockhash = recentBlockHash;\n            if (allSigners[idx].length) tx.sign(...allSigners[idx]);\n            return tx;\n          });\n          printSimulate(partialSignedTxs);\n          const signedTxs = await this.signAllTransactions(partialSignedTxs);\n          if (sequentially) {\n            let i = 0;\n            const processedTxs: TxUpdateParams[] = [];\n            const checkSendTx = async (): Promise<void> => {\n              if (!signedTxs[i]) return;\n              const txId = await this.connection.sendRawTransaction(signedTxs[i].serialize(), { skipPreflight });\n              processedTxs.push({ txId, status: \"sent\", signedTx: signedTxs[i] });\n              onTxUpdate?.([...processedTxs]);\n              i++;\n              let confirmed = false;\n              // eslint-disable-next-line\n              let intervalId: NodeJS.Timer | null = null,\n                subSignatureId: number | null = null;\n              const cbk = (signatureResult: SignatureResult): void => {\n                intervalId !== null && clearInterval(intervalId);\n                subSignatureId !== null && this.connection.removeSignatureListener(subSignatureId);\n                const targetTxIdx = processedTxs.findIndex((tx) => tx.txId === txId);\n                if (targetTxIdx > -1) {\n                  if (processedTxs[targetTxIdx].status === \"error\" || processedTxs[targetTxIdx].status === \"success\")\n                    return;\n                  processedTxs[targetTxIdx].status = signatureResult.err ? \"error\" : \"success\";\n                }\n                onTxUpdate?.([...processedTxs]);\n                if (!signatureResult.err) checkSendTx();\n              };\n\n              if (this.loopMultiTxStatus)\n                intervalId = setInterval(async () => {\n                  if (confirmed) {\n                    clearInterval(intervalId!);\n                    return;\n                  }\n                  try {\n                    const r = await this.connection.getTransaction(txId, {\n                      commitment: \"confirmed\",\n                      maxSupportedTransactionVersion: TxVersion.V0,\n                    });\n                    if (r) {\n                      confirmed = true;\n                      clearInterval(intervalId!);\n                      cbk({ err: r.meta?.err || null });\n                      console.log(\"tx status from getTransaction:\", txId);\n                    }\n                  } catch (e) {\n                    confirmed = true;\n                    clearInterval(intervalId!);\n                    console.error(\"getTransaction timeout:\", e, txId);\n                  }\n                }, LOOP_INTERVAL);\n\n              subSignatureId = this.connection.onSignature(\n                txId,\n                (result) => {\n                  if (confirmed) {\n                    this.connection.removeSignatureListener(subSignatureId!);\n                    return;\n                  }\n                  confirmed = true;\n                  cbk(result);\n                },\n                \"confirmed\",\n              );\n              this.connection.getSignatureStatus(txId);\n            };\n            await checkSendTx();\n            return {\n              txIds: processedTxs.map((d) => d.txId),\n              signedTxs,\n            };\n          } else {\n            const txIds: string[] = [];\n            for (let i = 0; i < signedTxs.length; i += 1) {\n              const txId = await this.connection.sendRawTransaction(signedTxs[i].serialize(), { skipPreflight });\n              txIds.push(txId);\n            }\n            return {\n              txIds,\n              signedTxs,\n            };\n          }\n        }\n        throw new Error(\"please provide owner in keypair format or signAllTransactions function\");\n      },\n      extInfo: extInfo || {},\n    };\n  }\n\n  public async versionMultiBuild<T extends TxVersion, O = Record<string, any>>({\n    extraPreBuildData,\n    txVersion,\n    extInfo,\n  }: {\n    extraPreBuildData?: MakeTxData<TxVersion.V0>[] | MakeTxData<TxVersion.LEGACY>[];\n    txVersion?: T;\n    extInfo?: O;\n  }): Promise<MakeMultiTxData<T, O>> {\n    if (txVersion === TxVersion.V0)\n      return (await this.buildV0MultiTx({\n        extraPreBuildData: extraPreBuildData as MakeTxData<TxVersion.V0>[],\n        buildProps: extInfo || {},\n      })) as MakeMultiTxData<T, O>;\n    return this.buildMultiTx<O>({\n      extraPreBuildData: extraPreBuildData as MakeTxData<TxVersion.LEGACY>[],\n      extInfo,\n    }) as MakeMultiTxData<T, O>;\n  }\n\n  public async buildV0<O = Record<string, any>>(\n    props?: O & {\n      lookupTableCache?: CacheLTA;\n      lookupTableAddress?: string[];\n      forerunCreate?: boolean;\n      recentBlockhash?: string;\n    },\n  ): Promise<MakeTxData<TxVersion.V0, O>> {\n    const {\n      lookupTableCache = {},\n      lookupTableAddress = [],\n      forerunCreate,\n      recentBlockhash: propRecentBlockhash,\n      ...extInfo\n    } = props || {};\n\n    const lookupTableAddressAccount = {\n      ...(this.cluster === \"devnet\"\n        ? await getDevLookupTableCache(this.connection)\n        : await getMainLookupTableCache(this.connection)),\n      ...lookupTableCache,\n    };\n    const allLTA = Array.from(new Set<string>([...lookupTableAddress, ...this.lookupTableAddress]));\n    const needCacheLTA: PublicKey[] = [];\n    for (const item of allLTA) {\n      if (lookupTableAddressAccount[item] === undefined) needCacheLTA.push(new PublicKey(item));\n    }\n    const newCacheLTA = await getMultipleLookupTableInfo({ connection: this.connection, address: needCacheLTA });\n    for (const [key, value] of Object.entries(newCacheLTA)) lookupTableAddressAccount[key] = value;\n\n    const recentBlockhash = forerunCreate\n      ? PublicKey.default.toBase58()\n      : propRecentBlockhash ?? (await getRecentBlockHash(this.connection, this.blockhashCommitment));\n    const messageV0 = new TransactionMessage({\n      payerKey: this.feePayer,\n      recentBlockhash,\n      instructions: [...this.allInstructions],\n    }).compileToV0Message(Object.values(lookupTableAddressAccount));\n    if (this.owner?.signer && !this.signers.some((s) => s.publicKey.equals(this.owner!.publicKey)))\n      this.signers.push(this.owner.signer);\n    const transaction = new VersionedTransaction(messageV0);\n\n    transaction.sign(this.signers);\n\n    return {\n      builder: this,\n      transaction,\n      signers: this.signers,\n      instructionTypes: [...this.instructionTypes, ...this.endInstructionTypes],\n      execute: async (params) => {\n        const { skipPreflight = true, sendAndConfirm, notSendToRpc } = params || {};\n        printSimulate([transaction]);\n        if (this.owner?.isKeyPair) {\n          const txId = await this.connection.sendTransaction(transaction, { skipPreflight });\n          if (sendAndConfirm) {\n            await confirmTransaction(this.connection, txId);\n          }\n\n          return {\n            txId,\n            signedTx: transaction,\n          };\n        }\n        if (this.signAllTransactions) {\n          const txs = await this.signAllTransactions<VersionedTransaction>([transaction]);\n          if (this.signers.length) {\n            for (const item of txs) {\n              try {\n                item.sign(this.signers);\n              } catch (e) {\n                //\n              }\n            }\n          }\n          return {\n            txId: notSendToRpc ? \"\" : await this.connection.sendTransaction(txs[0], { skipPreflight }),\n            signedTx: txs[0],\n          };\n        }\n        throw new Error(\"please provide owner in keypair format or signAllTransactions function\");\n      },\n      extInfo: (extInfo || {}) as O,\n    };\n  }\n\n  public async buildV0MultiTx<T = Record<string, any>>(params: {\n    extraPreBuildData?: MakeTxData<TxVersion.V0>[];\n    buildProps?: T & {\n      lookupTableCache?: CacheLTA;\n      lookupTableAddress?: string[];\n      forerunCreate?: boolean;\n      recentBlockhash?: string;\n    };\n  }): Promise<MultiTxV0BuildData> {\n    const { extraPreBuildData = [], buildProps } = params;\n    const { transaction } = await this.buildV0(buildProps);\n\n    const filterExtraBuildData = extraPreBuildData.filter((data) => data.builder.instructions.length > 0);\n\n    const allTransactions: VersionedTransaction[] = [\n      transaction,\n      ...filterExtraBuildData.map((data) => data.transaction),\n    ];\n    const allSigners: Signer[][] = [this.signers, ...filterExtraBuildData.map((data) => data.signers)];\n    const allInstructionTypes: string[] = [\n      ...this.instructionTypes,\n      ...filterExtraBuildData.map((data) => data.instructionTypes).flat(),\n    ];\n\n    if (this.owner?.signer) {\n      allSigners.forEach((signers) => {\n        if (!signers.some((s) => s.publicKey.equals(this.owner!.publicKey))) this.signers.push(this.owner!.signer!);\n      });\n    }\n\n    allTransactions.forEach(async (tx, idx) => {\n      tx.sign(allSigners[idx]);\n    });\n\n    return {\n      builder: this,\n      transactions: allTransactions,\n      signers: allSigners,\n      instructionTypes: allInstructionTypes,\n      buildProps,\n      execute: async (executeParams?: MultiTxExecuteParam) => {\n        const { sequentially, onTxUpdate, recentBlockHash: propBlockHash, skipPreflight = true } = executeParams || {};\n        if (propBlockHash) allTransactions.forEach((tx) => (tx.message.recentBlockhash = propBlockHash));\n        printSimulate(allTransactions);\n        if (this.owner?.isKeyPair) {\n          if (sequentially) {\n            const txIds: string[] = [];\n            for (const tx of allTransactions) {\n              const txId = await this.connection.sendTransaction(tx, { skipPreflight });\n              await confirmTransaction(this.connection, txId);\n              txIds.push(txId);\n            }\n\n            return { txIds, signedTxs: allTransactions };\n          }\n\n          return {\n            txIds: await Promise.all(\n              allTransactions.map(async (tx) => {\n                return await this.connection.sendTransaction(tx, { skipPreflight });\n              }),\n            ),\n            signedTxs: allTransactions,\n          };\n        }\n\n        if (this.signAllTransactions) {\n          const signedTxs = await this.signAllTransactions(allTransactions);\n\n          if (sequentially) {\n            let i = 0;\n            const processedTxs: TxUpdateParams[] = [];\n            const checkSendTx = async (): Promise<void> => {\n              if (!signedTxs[i]) return;\n              const txId = await this.connection.sendTransaction(signedTxs[i], { skipPreflight });\n              processedTxs.push({ txId, status: \"sent\", signedTx: signedTxs[i] });\n              onTxUpdate?.([...processedTxs]);\n              i++;\n\n              let confirmed = false;\n              // eslint-disable-next-line\n              let intervalId: NodeJS.Timer | null = null,\n                subSignatureId: number | null = null;\n              const cbk = (signatureResult: SignatureResult): void => {\n                intervalId !== null && clearInterval(intervalId);\n                subSignatureId !== null && this.connection.removeSignatureListener(subSignatureId);\n                const targetTxIdx = processedTxs.findIndex((tx) => tx.txId === txId);\n                if (targetTxIdx > -1) {\n                  if (processedTxs[targetTxIdx].status === \"error\" || processedTxs[targetTxIdx].status === \"success\")\n                    return;\n                  processedTxs[targetTxIdx].status = signatureResult.err ? \"error\" : \"success\";\n                }\n                onTxUpdate?.([...processedTxs]);\n                if (!signatureResult.err) checkSendTx();\n              };\n\n              if (this.loopMultiTxStatus)\n                intervalId = setInterval(async () => {\n                  if (confirmed) {\n                    clearInterval(intervalId!);\n                    return;\n                  }\n                  try {\n                    const r = await this.connection.getTransaction(txId, {\n                      commitment: \"confirmed\",\n                      maxSupportedTransactionVersion: TxVersion.V0,\n                    });\n                    if (r) {\n                      confirmed = true;\n                      clearInterval(intervalId!);\n                      cbk({ err: r.meta?.err || null });\n                      console.log(\"tx status from getTransaction:\", txId);\n                    }\n                  } catch (e) {\n                    confirmed = true;\n                    clearInterval(intervalId!);\n                    console.error(\"getTransaction timeout:\", e, txId);\n                  }\n                }, LOOP_INTERVAL);\n\n              subSignatureId = this.connection.onSignature(\n                txId,\n                (result) => {\n                  if (confirmed) {\n                    this.connection.removeSignatureListener(subSignatureId!);\n                    return;\n                  }\n                  confirmed = true;\n                  cbk(result);\n                },\n                \"confirmed\",\n              );\n              this.connection.getSignatureStatus(txId);\n            };\n            checkSendTx();\n            return {\n              txIds: [],\n              signedTxs,\n            };\n          } else {\n            const txIds: string[] = [];\n            for (let i = 0; i < signedTxs.length; i += 1) {\n              const txId = await this.connection.sendTransaction(signedTxs[i], { skipPreflight });\n              txIds.push(txId);\n            }\n            return { txIds, signedTxs };\n          }\n        }\n        throw new Error(\"please provide owner in keypair format or signAllTransactions function\");\n      },\n      extInfo: buildProps || {},\n    };\n  }\n\n  public async sizeCheckBuild(\n    props?: Record<string, any> & { computeBudgetConfig?: ComputeBudgetConfig; splitIns?: TransactionInstruction[] },\n  ): Promise<MultiTxBuildData> {\n    const { splitIns = [], computeBudgetConfig, ...extInfo } = props || {};\n    const computeBudgetData: { instructions: TransactionInstruction[]; instructionTypes: string[] } =\n      computeBudgetConfig\n        ? addComputeBudget(computeBudgetConfig)\n        : {\n            instructions: [],\n            instructionTypes: [],\n          };\n\n    const signerKey: { [key: string]: Signer } = this.signers.reduce(\n      (acc, cur) => ({ ...acc, [cur.publicKey.toBase58()]: cur }),\n      {},\n    );\n\n    const allTransactions: Transaction[] = [];\n    const allSigners: Signer[][] = [];\n\n    let instructionQueue: TransactionInstruction[] = [];\n    let splitInsIdx = 0;\n    this.allInstructions.forEach((item) => {\n      const _itemIns = [...instructionQueue, item];\n      const _itemInsWithCompute = computeBudgetConfig ? [...computeBudgetData.instructions, ..._itemIns] : _itemIns;\n      const _signerStrs = new Set<string>(\n        _itemIns.map((i) => i.keys.filter((ii) => ii.isSigner).map((ii) => ii.pubkey.toString())).flat(),\n      );\n      const _signer = [..._signerStrs.values()].map((i) => new PublicKey(i));\n\n      if (\n        item !== splitIns[splitInsIdx] &&\n        instructionQueue.length < 12 &&\n        (checkLegacyTxSize({ instructions: _itemInsWithCompute, payer: this.feePayer, signers: _signer }) ||\n          checkLegacyTxSize({ instructions: _itemIns, payer: this.feePayer, signers: _signer }))\n      ) {\n        // current ins add to queue still not exceed tx size limit\n        instructionQueue.push(item);\n      } else {\n        if (instructionQueue.length === 0) throw Error(\"item ins too big\");\n        splitInsIdx += item === splitIns[splitInsIdx] ? 1 : 0;\n        // if add computeBudget still not exceed tx size limit\n        if (\n          checkLegacyTxSize({\n            instructions: computeBudgetConfig\n              ? [...computeBudgetData.instructions, ...instructionQueue]\n              : [...instructionQueue],\n            payer: this.feePayer,\n            signers: _signer,\n          })\n        ) {\n          allTransactions.push(new Transaction().add(...computeBudgetData.instructions, ...instructionQueue));\n        } else {\n          allTransactions.push(new Transaction().add(...instructionQueue));\n        }\n        allSigners.push(\n          Array.from(\n            new Set<string>(\n              instructionQueue.map((i) => i.keys.filter((ii) => ii.isSigner).map((ii) => ii.pubkey.toString())).flat(),\n            ),\n          )\n            .map((i) => signerKey[i])\n            .filter((i) => i !== undefined),\n        );\n        instructionQueue = [item];\n      }\n    });\n\n    if (instructionQueue.length > 0) {\n      const _signerStrs = new Set<string>(\n        instructionQueue.map((i) => i.keys.filter((ii) => ii.isSigner).map((ii) => ii.pubkey.toString())).flat(),\n      );\n      const _signers = [..._signerStrs.values()].map((i) => signerKey[i]).filter((i) => i !== undefined);\n\n      if (\n        checkLegacyTxSize({\n          instructions: computeBudgetConfig\n            ? [...computeBudgetData.instructions, ...instructionQueue]\n            : [...instructionQueue],\n          payer: this.feePayer,\n          signers: _signers.map((s) => s.publicKey),\n        })\n      ) {\n        allTransactions.push(new Transaction().add(...computeBudgetData.instructions, ...instructionQueue));\n      } else {\n        allTransactions.push(new Transaction().add(...instructionQueue));\n      }\n      allSigners.push(_signers);\n    }\n    allTransactions.forEach((tx) => (tx.feePayer = this.feePayer));\n\n    if (this.owner?.signer) {\n      allSigners.forEach((signers) => {\n        if (!signers.some((s) => s.publicKey.equals(this.owner!.publicKey))) signers.push(this.owner!.signer!);\n      });\n    }\n\n    return {\n      builder: this,\n      transactions: allTransactions,\n      signers: allSigners,\n      instructionTypes: this.instructionTypes,\n      execute: async (executeParams?: MultiTxExecuteParam) => {\n        const {\n          sequentially,\n          onTxUpdate,\n          skipTxCount = 0,\n          recentBlockHash: propBlockHash,\n          skipPreflight = true,\n        } = executeParams || {};\n        const recentBlockHash = propBlockHash ?? (await getRecentBlockHash(this.connection, this.blockhashCommitment));\n        allTransactions.forEach(async (tx, idx) => {\n          tx.recentBlockhash = recentBlockHash;\n          if (allSigners[idx].length) tx.sign(...allSigners[idx]);\n        });\n        printSimulate(allTransactions);\n        if (this.owner?.isKeyPair) {\n          if (sequentially) {\n            let i = 0;\n            const txIds: string[] = [];\n            for (const tx of allTransactions) {\n              ++i;\n              if (i <= skipTxCount) {\n                txIds.push(\"tx skipped\");\n                continue;\n              }\n              const txId = await sendAndConfirmTransaction(\n                this.connection,\n                tx,\n                this.signers.find((s) => s.publicKey.equals(this.owner!.publicKey))\n                  ? this.signers\n                  : [...this.signers, this.owner.signer!],\n                { skipPreflight },\n              );\n              txIds.push(txId);\n            }\n\n            return {\n              txIds,\n              signedTxs: allTransactions,\n            };\n          }\n          return {\n            txIds: await Promise.all(\n              allTransactions.map(async (tx) => {\n                return await this.connection.sendRawTransaction(tx.serialize(), { skipPreflight });\n              }),\n            ),\n            signedTxs: allTransactions,\n          };\n        }\n        if (this.signAllTransactions) {\n          const needSignedTx = await this.signAllTransactions(\n            allTransactions.slice(skipTxCount, allTransactions.length),\n          );\n          const signedTxs = [...allTransactions.slice(0, skipTxCount), ...needSignedTx];\n          if (sequentially) {\n            let i = 0;\n            const processedTxs: TxUpdateParams[] = [];\n            const checkSendTx = async (): Promise<void> => {\n              if (!signedTxs[i]) return;\n              if (i < skipTxCount) {\n                // success before, do not send again\n                processedTxs.push({ txId: \"\", status: \"success\", signedTx: signedTxs[i] });\n                onTxUpdate?.([...processedTxs]);\n                i++;\n                checkSendTx();\n              }\n              const txId = await this.connection.sendRawTransaction(signedTxs[i].serialize(), { skipPreflight });\n              processedTxs.push({ txId, status: \"sent\", signedTx: signedTxs[i] });\n              onTxUpdate?.([...processedTxs]);\n              i++;\n\n              let confirmed = false;\n              // eslint-disable-next-line\n              let intervalId: NodeJS.Timer | null = null,\n                subSignatureId: number | null = null;\n              const cbk = (signatureResult: SignatureResult): void => {\n                intervalId !== null && clearInterval(intervalId);\n                subSignatureId !== null && this.connection.removeSignatureListener(subSignatureId);\n                const targetTxIdx = processedTxs.findIndex((tx) => tx.txId === txId);\n                if (targetTxIdx > -1) {\n                  if (processedTxs[targetTxIdx].status === \"error\" || processedTxs[targetTxIdx].status === \"success\")\n                    return;\n                  processedTxs[targetTxIdx].status = signatureResult.err ? \"error\" : \"success\";\n                }\n                onTxUpdate?.([...processedTxs]);\n                if (!signatureResult.err) checkSendTx();\n              };\n\n              if (this.loopMultiTxStatus)\n                intervalId = setInterval(async () => {\n                  if (confirmed) {\n                    clearInterval(intervalId!);\n                    return;\n                  }\n                  try {\n                    const r = await this.connection.getTransaction(txId, {\n                      commitment: \"confirmed\",\n                      maxSupportedTransactionVersion: TxVersion.V0,\n                    });\n                    if (r) {\n                      confirmed = true;\n                      clearInterval(intervalId!);\n                      cbk({ err: r.meta?.err || null });\n                      console.log(\"tx status from getTransaction:\", txId);\n                    }\n                  } catch (e) {\n                    confirmed = true;\n                    clearInterval(intervalId!);\n                    console.error(\"getTransaction timeout:\", e, txId);\n                  }\n                }, LOOP_INTERVAL);\n\n              subSignatureId = this.connection.onSignature(\n                txId,\n                (result) => {\n                  if (confirmed) {\n                    this.connection.removeSignatureListener(subSignatureId!);\n                    return;\n                  }\n                  confirmed = true;\n                  cbk(result);\n                },\n                \"confirmed\",\n              );\n              this.connection.getSignatureStatus(txId);\n            };\n            await checkSendTx();\n            return {\n              txIds: processedTxs.map((d) => d.txId),\n              signedTxs,\n            };\n          } else {\n            const txIds: string[] = [];\n            for (let i = 0; i < signedTxs.length; i += 1) {\n              const txId = await this.connection.sendRawTransaction(signedTxs[i].serialize(), { skipPreflight });\n              txIds.push(txId);\n            }\n            return { txIds, signedTxs };\n          }\n        }\n        throw new Error(\"please provide owner in keypair format or signAllTransactions function\");\n      },\n      extInfo: extInfo || {},\n    };\n  }\n\n  public async sizeCheckBuildV0(\n    props?: Record<string, any> & {\n      computeBudgetConfig?: ComputeBudgetConfig;\n      lookupTableCache?: CacheLTA;\n      lookupTableAddress?: string[];\n      splitIns?: TransactionInstruction[];\n    },\n  ): Promise<MultiTxV0BuildData> {\n    const {\n      computeBudgetConfig,\n      splitIns = [],\n      lookupTableCache = {},\n      lookupTableAddress = [],\n      ...extInfo\n    } = props || {};\n    const lookupTableAddressAccount = {\n      ...(this.cluster === \"devnet\"\n        ? await getDevLookupTableCache(this.connection)\n        : await getMainLookupTableCache(this.connection)),\n      ...lookupTableCache,\n    };\n    const allLTA = Array.from(new Set<string>([...this.lookupTableAddress, ...lookupTableAddress]));\n    const needCacheLTA: PublicKey[] = [];\n    for (const item of allLTA) {\n      if (lookupTableAddressAccount[item] === undefined) needCacheLTA.push(new PublicKey(item));\n    }\n    const newCacheLTA = await getMultipleLookupTableInfo({ connection: this.connection, address: needCacheLTA });\n    for (const [key, value] of Object.entries(newCacheLTA)) lookupTableAddressAccount[key] = value;\n\n    const computeBudgetData: { instructions: TransactionInstruction[]; instructionTypes: string[] } =\n      computeBudgetConfig\n        ? addComputeBudget(computeBudgetConfig)\n        : {\n            instructions: [],\n            instructionTypes: [],\n          };\n\n    const blockHash = await getRecentBlockHash(this.connection, this.blockhashCommitment);\n\n    const signerKey: { [key: string]: Signer } = this.signers.reduce(\n      (acc, cur) => ({ ...acc, [cur.publicKey.toBase58()]: cur }),\n      {},\n    );\n    const allTransactions: VersionedTransaction[] = [];\n    const allSigners: Signer[][] = [];\n\n    let instructionQueue: TransactionInstruction[] = [];\n    let splitInsIdx = 0;\n    this.allInstructions.forEach((item) => {\n      const _itemIns = [...instructionQueue, item];\n      const _itemInsWithCompute = computeBudgetConfig ? [...computeBudgetData.instructions, ..._itemIns] : _itemIns;\n      if (\n        item !== splitIns[splitInsIdx] &&\n        instructionQueue.length < 12 &&\n        (checkV0TxSize({ instructions: _itemInsWithCompute, payer: this.feePayer, lookupTableAddressAccount }) ||\n          checkV0TxSize({ instructions: _itemIns, payer: this.feePayer, lookupTableAddressAccount }))\n      ) {\n        // current ins add to queue still not exceed tx size limit\n        instructionQueue.push(item);\n      } else {\n        if (instructionQueue.length === 0) throw Error(\"item ins too big\");\n        splitInsIdx += item === splitIns[splitInsIdx] ? 1 : 0;\n        const lookupTableAddress: undefined | CacheLTA = {};\n        for (const item of [...new Set<string>(allLTA)]) {\n          if (lookupTableAddressAccount[item] !== undefined) lookupTableAddress[item] = lookupTableAddressAccount[item];\n        }\n        // if add computeBudget still not exceed tx size limit\n        if (\n          computeBudgetConfig &&\n          checkV0TxSize({\n            instructions: [...computeBudgetData.instructions, ...instructionQueue],\n            payer: this.feePayer,\n            lookupTableAddressAccount,\n            recentBlockhash: blockHash,\n          })\n        ) {\n          const messageV0 = new TransactionMessage({\n            payerKey: this.feePayer,\n            recentBlockhash: blockHash,\n\n            instructions: [...computeBudgetData.instructions, ...instructionQueue],\n          }).compileToV0Message(Object.values(lookupTableAddressAccount));\n          allTransactions.push(new VersionedTransaction(messageV0));\n        } else {\n          const messageV0 = new TransactionMessage({\n            payerKey: this.feePayer,\n            recentBlockhash: blockHash,\n            instructions: [...instructionQueue],\n          }).compileToV0Message(Object.values(lookupTableAddressAccount));\n          allTransactions.push(new VersionedTransaction(messageV0));\n        }\n        allSigners.push(\n          Array.from(\n            new Set<string>(\n              instructionQueue.map((i) => i.keys.filter((ii) => ii.isSigner).map((ii) => ii.pubkey.toString())).flat(),\n            ),\n          )\n            .map((i) => signerKey[i])\n            .filter((i) => i !== undefined),\n        );\n        instructionQueue = [item];\n      }\n    });\n\n    if (instructionQueue.length > 0) {\n      const _signerStrs = new Set<string>(\n        instructionQueue.map((i) => i.keys.filter((ii) => ii.isSigner).map((ii) => ii.pubkey.toString())).flat(),\n      );\n      const _signers = [..._signerStrs.values()].map((i) => signerKey[i]).filter((i) => i !== undefined);\n\n      if (\n        computeBudgetConfig &&\n        checkV0TxSize({\n          instructions: [...computeBudgetData.instructions, ...instructionQueue],\n          payer: this.feePayer,\n          lookupTableAddressAccount,\n          recentBlockhash: blockHash,\n        })\n      ) {\n        const messageV0 = new TransactionMessage({\n          payerKey: this.feePayer,\n          recentBlockhash: blockHash,\n          instructions: [...computeBudgetData.instructions, ...instructionQueue],\n        }).compileToV0Message(Object.values(lookupTableAddressAccount));\n        allTransactions.push(new VersionedTransaction(messageV0));\n      } else {\n        const messageV0 = new TransactionMessage({\n          payerKey: this.feePayer,\n          recentBlockhash: blockHash,\n          instructions: [...instructionQueue],\n        }).compileToV0Message(Object.values(lookupTableAddressAccount));\n        allTransactions.push(new VersionedTransaction(messageV0));\n      }\n\n      allSigners.push(_signers);\n    }\n\n    if (this.owner?.signer) {\n      allSigners.forEach((signers) => {\n        if (!signers.some((s) => s.publicKey.equals(this.owner!.publicKey))) signers.push(this.owner!.signer!);\n      });\n    }\n\n    allTransactions.forEach((tx, idx) => {\n      tx.sign(allSigners[idx]);\n    });\n\n    return {\n      builder: this,\n      transactions: allTransactions,\n      buildProps: props,\n      signers: allSigners,\n      instructionTypes: this.instructionTypes,\n      execute: async (executeParams?: MultiTxExecuteParam) => {\n        const {\n          sequentially,\n          onTxUpdate,\n          skipTxCount = 0,\n          recentBlockHash: propBlockHash,\n          skipPreflight = true,\n        } = executeParams || {};\n        allTransactions.map(async (tx, idx) => {\n          if (allSigners[idx].length) tx.sign(allSigners[idx]);\n          if (propBlockHash) tx.message.recentBlockhash = propBlockHash;\n        });\n        printSimulate(allTransactions);\n        if (this.owner?.isKeyPair) {\n          if (sequentially) {\n            let i = 0;\n            const txIds: string[] = [];\n            for (const tx of allTransactions) {\n              ++i;\n              if (i <= skipTxCount) {\n                console.log(\"skip tx: \", i);\n                txIds.push(\"tx skipped\");\n                continue;\n              }\n              const txId = await this.connection.sendTransaction(tx, { skipPreflight });\n              await confirmTransaction(this.connection, txId);\n\n              txIds.push(txId);\n            }\n\n            return { txIds, signedTxs: allTransactions };\n          }\n\n          return {\n            txIds: await Promise.all(\n              allTransactions.map(async (tx) => {\n                return await this.connection.sendTransaction(tx, { skipPreflight });\n              }),\n            ),\n            signedTxs: allTransactions,\n          };\n        }\n        if (this.signAllTransactions) {\n          const needSignedTx = await this.signAllTransactions(\n            allTransactions.slice(skipTxCount, allTransactions.length),\n          );\n          const signedTxs = [...allTransactions.slice(0, skipTxCount), ...needSignedTx];\n          if (sequentially) {\n            let i = 0;\n            const processedTxs: TxUpdateParams[] = [];\n            const checkSendTx = async (): Promise<void> => {\n              if (!signedTxs[i]) return;\n              if (i < skipTxCount) {\n                // success before, do not send again\n                processedTxs.push({ txId: \"\", status: \"success\", signedTx: signedTxs[i] });\n                onTxUpdate?.([...processedTxs]);\n                i++;\n                checkSendTx();\n                return;\n              }\n              const txId = await this.connection.sendTransaction(signedTxs[i], { skipPreflight });\n              processedTxs.push({ txId, status: \"sent\", signedTx: signedTxs[i] });\n              onTxUpdate?.([...processedTxs]);\n              i++;\n\n              let confirmed = false;\n              // eslint-disable-next-line\n              let intervalId: NodeJS.Timer | null = null,\n                subSignatureId: number | null = null;\n              const cbk = (signatureResult: SignatureResult): void => {\n                intervalId !== null && clearInterval(intervalId);\n                subSignatureId !== null && this.connection.removeSignatureListener(subSignatureId);\n                const targetTxIdx = processedTxs.findIndex((tx) => tx.txId === txId);\n                if (targetTxIdx > -1) {\n                  if (processedTxs[targetTxIdx].status === \"error\" || processedTxs[targetTxIdx].status === \"success\")\n                    return;\n                  processedTxs[targetTxIdx].status = signatureResult.err ? \"error\" : \"success\";\n                }\n                onTxUpdate?.([...processedTxs]);\n                if (!signatureResult.err) checkSendTx();\n              };\n\n              if (this.loopMultiTxStatus)\n                intervalId = setInterval(async () => {\n                  if (confirmed) {\n                    clearInterval(intervalId!);\n                    return;\n                  }\n                  try {\n                    const r = await this.connection.getTransaction(txId, {\n                      commitment: \"confirmed\",\n                      maxSupportedTransactionVersion: TxVersion.V0,\n                    });\n                    if (r) {\n                      confirmed = true;\n                      clearInterval(intervalId!);\n                      cbk({ err: r.meta?.err || null });\n                      console.log(\"tx status from getTransaction:\", txId);\n                    }\n                  } catch (e) {\n                    confirmed = true;\n                    clearInterval(intervalId!);\n                    console.error(\"getTransaction timeout:\", e, txId);\n                  }\n                }, LOOP_INTERVAL);\n\n              subSignatureId = this.connection.onSignature(\n                txId,\n                (result) => {\n                  if (confirmed) {\n                    this.connection.removeSignatureListener(subSignatureId!);\n                    return;\n                  }\n                  confirmed = true;\n                  cbk(result);\n                },\n                \"confirmed\",\n              );\n              this.connection.getSignatureStatus(txId);\n            };\n            checkSendTx();\n            return {\n              txIds: [],\n              signedTxs,\n            };\n          } else {\n            const txIds: string[] = [];\n            for (let i = 0; i < signedTxs.length; i += 1) {\n              const txId = await this.connection.sendTransaction(signedTxs[i], { skipPreflight });\n              txIds.push(txId);\n            }\n            return { txIds, signedTxs };\n          }\n        }\n        throw new Error(\"please provide owner in keypair format or signAllTransactions function\");\n      },\n      extInfo: extInfo || {},\n    };\n  }\n}\n","import { PublicKey } from \"@solana/web3.js\";\nimport BN from \"bn.js\";\n\nimport { Fraction, Percent, Price, Token, TokenAmount } from \"../module\";\nimport { ReplaceType } from \"../raydium/type\";\n\nimport { tryParsePublicKey } from \"./pubKey\";\n\nexport async function sleep(ms: number): Promise<void> {\n  new Promise((resolve) => setTimeout(resolve, ms));\n}\n\nexport function getTimestamp(): number {\n  return new Date().getTime();\n}\n\nexport function notInnerObject(v: unknown): v is Record<string, any> {\n  return (\n    typeof v === \"object\" &&\n    v !== null &&\n    ![Token, TokenAmount, PublicKey, Fraction, BN, Price, Percent].some((o) => typeof o === \"object\" && v instanceof o)\n  );\n}\n\nexport function jsonInfo2PoolKeys<T>(jsonInfo: T): ReplaceType<T, string, PublicKey> {\n  // @ts-expect-error no need type for inner code\n  return typeof jsonInfo === \"string\"\n    ? tryParsePublicKey(jsonInfo)\n    : Array.isArray(jsonInfo)\n    ? jsonInfo.map((k) => jsonInfo2PoolKeys(k))\n    : notInnerObject(jsonInfo)\n    ? Object.fromEntries(Object.entries(jsonInfo).map(([k, v]) => [k, jsonInfo2PoolKeys(v)]))\n    : jsonInfo;\n}\n","import BN from \"bn.js\";\nexport const FEE_RATE_DENOMINATOR_VALUE = new 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