@raydium-io/raydium-sdk-v2/lib/index.mjs.map

An SDK for building applications on top of Raydium.

{"version":3,"sources":["../src/api/api.ts","../src/common/accountInfo.ts","../src/common/logger.ts","../src/common/bignumber.ts","../node_modules/decimal.js/decimal.mjs","../src/module/amount.ts","../src/module/formatter.ts","../src/module/fraction.ts","../src/common/constant.ts","../src/raydium/token/constant.ts","../src/module/token.ts","../src/common/pubKey.ts","../src/module/currency.ts","../src/module/percent.ts","../src/module/price.ts","../src/common/fractionUtil.ts","../src/common/date.ts","../src/common/lodash.ts","../src/common/owner.ts","../src/common/pda.ts","../src/common/txTool/txUtils.ts","../src/common/txTool/txType.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","../src/api/type.ts","../src/api/url.ts","../src/api/utils.ts","../src/raydium/raydium.ts","../src/common/error.ts","../src/raydium/account/account.ts","../src/raydium/moduleBase.ts","../src/raydium/account/instruction.ts","../src/raydium/account/util.ts","../node_modules/@noble/hashes/src/_assert.ts","../node_modules/@noble/hashes/src/utils.ts","../node_modules/@noble/hashes/src/_md.ts","../node_modules/@noble/hashes/src/sha256.ts","../src/marshmallow/index.ts","../src/marshmallow/buffer-layout.ts","../src/raydium/account/layout.ts","../src/raydium/farm/farm.ts","../src/raydium/farm/config.ts","../src/raydium/farm/layout.ts","../src/raydium/farm/instruction.ts","../src/raydium/farm/pda.ts","../src/raydium/farm/util.ts","../src/raydium/liquidity/liquidity.ts","../src/raydium/clmm/instrument.ts","../src/raydium/clmm/utils/tick.ts","../src/raydium/clmm/utils/constants.ts","../src/raydium/clmm/utils/math.ts","../src/raydium/clmm/utils/util.ts","../src/raydium/clmm/utils/pda.ts","../src/raydium/clmm/utils/pool.ts","../src/raydium/clmm/utils/position.ts","../src/raydium/clmm/utils/tickQuery.ts","../src/raydium/clmm/utils/tickarrayBitmap.ts","../src/raydium/clmm/layout.ts","../src/raydium/token/layout.ts","../src/raydium/token/utils.ts","../src/raydium/liquidity/constant.ts","../src/raydium/liquidity/instruction.ts","../src/raydium/liquidity/layout.ts","../src/raydium/liquidity/stable.ts","../src/raydium/liquidity/utils.ts","../src/raydium/liquidity/serum.ts","../src/raydium/marketV2/createMarket.ts","../src/raydium/marketV2/instrument.ts","../src/raydium/marketV2/layout.ts","../src/raydium/clmm/clmm.ts","../src/raydium/cpmm/cpmm.ts","../src/raydium/cpmm/curve/calculator.ts","../src/raydium/cpmm/curve/constantProduct.ts","../src/raydium/cpmm/curve/fee.ts","../src/raydium/cpmm/instruction.ts","../src/raydium/cpmm/pda.ts","../src/raydium/cpmm/layout.ts","../src/raydium/cpmm/type.ts","../src/raydium/tradeV2/trade.ts","../src/raydium/serum/id.ts","../src/raydium/serum/layout.ts","../src/raydium/serum/serum.ts","../src/raydium/tradeV2/instrument.ts","../src/raydium/launchpad/instrument.ts","../src/raydium/launchpad/layout.ts","../src/raydium/launchpad/pda.ts","../src/raydium/launchpad/type.ts","../src/raydium/launchpad/curve/constantProductCurve.ts","../src/raydium/launchpad/curve/curveBase.ts","../src/raydium/launchpad/curve/curve.ts","../src/raydium/launchpad/curve/fixedPriceCurve.ts","../src/raydium/launchpad/curve/linearPriceCurve.ts","../src/raydium/launchpad/curve/func.ts","../src/raydium/launchpad/launchpad.ts","../src/raydium/utils1216/utils1216.ts","../src/raydium/ido/ido.ts","../src/raydium/ido/instruction.ts","../src/raydium/ido/layout.ts","../src/raydium/token/token.ts","../src/raydium/type.ts"],"sourcesContent":["import axios, { AxiosInstance } from \"axios\";\n\nimport { createLogger, sleep } from \"../common\";\nimport { Cluster } from \"../solana\";\n\nimport {\n  ApiClmmConfigInfo,\n  ApiCpmmConfigInfo,\n  ApiV3Token,\n  FetchPoolParams,\n  PoolsApiReturn,\n  ApiV3PoolInfoItem,\n  PoolKeys,\n  FormatFarmInfoOut,\n  FormatFarmKeyOut,\n  AvailabilityCheckAPI3,\n  PoolFetchType,\n  JupToken,\n  ApiLaunchConfig,\n} from \"./type\";\nimport { API_URLS, API_URL_CONFIG, DEV_API_URLS } from \"./url\";\nimport { updateReqHistory } from \"./utils\";\nimport { PublicKey } from \"@solana/web3.js\";\nimport { solToWSol } from \"../common\";\nimport { TOKEN_2022_PROGRAM_ID, TOKEN_PROGRAM_ID } from \"@solana/spl-token\";\n\nconst logger = createLogger(\"Raydium_Api\");\nconst poolKeysCache: Map<string, PoolKeys> = new Map();\nconst cacheLaunchConfigs: Map<Cluster, ApiLaunchConfig[]> = new Map();\n\nexport async function endlessRetry<T>(name: string, call: () => Promise<T>, interval = 1000): Promise<T> {\n  let result: T | undefined;\n\n  while (result == undefined) {\n    try {\n      logger.debug(`Request ${name} through endlessRetry`);\n      result = await call();\n    } catch (err) {\n      logger.error(`Request ${name} failed, retry after ${interval} ms`, err);\n      await sleep(interval);\n    }\n  }\n\n  return result;\n}\n\nexport interface ApiProps {\n  cluster: Cluster;\n  timeout: number;\n  logRequests?: boolean;\n  logCount?: number;\n  urlConfigs?: API_URL_CONFIG;\n}\n\nexport class Api {\n  public cluster: Cluster;\n\n  public api: AxiosInstance;\n  public logCount: number;\n\n  public urlConfigs: API_URL_CONFIG;\n\n  constructor({ cluster, timeout, logRequests, logCount, urlConfigs }: ApiProps) {\n    this.cluster = cluster;\n    this.urlConfigs = urlConfigs || {};\n    this.logCount = logCount || 1000;\n\n    this.api = axios.create({\n      baseURL: this.urlConfigs.BASE_HOST || (this.cluster === \"devnet\" ? DEV_API_URLS.BASE_HOST : API_URLS.BASE_HOST),\n      timeout,\n    });\n\n    this.api.interceptors.request.use(\n      (config) => {\n        // before request\n        const { method, baseURL, url } = config;\n\n        logger.debug(`${method?.toUpperCase()} ${baseURL}${url}`);\n\n        return config;\n      },\n      (error) => {\n        // request error\n        logger.error(`Request failed`);\n\n        return Promise.reject(error);\n      },\n    );\n    this.api.interceptors.response.use(\n      (response) => {\n        // 2xx\n        const { config, data, status } = response;\n        const { method, baseURL, url } = config;\n\n        if (logRequests) {\n          updateReqHistory({\n            status,\n            url: `${baseURL}${url}`,\n            params: config.params,\n            data,\n            logCount: this.logCount,\n          });\n        }\n\n        logger.debug(`${method?.toUpperCase()} ${baseURL}${url}  ${status}`);\n\n        return data;\n      },\n      (error) => {\n        // https://axios-http.com/docs/handling_errors\n        // not 2xx\n        const { config, response = {} } = error;\n        const { status } = response;\n        const { method, baseURL, url } = config;\n\n        if (logRequests) {\n          updateReqHistory({\n            status,\n            url: `${baseURL}${url}`,\n            params: config.params,\n            data: error.message,\n            logCount: this.logCount,\n          });\n        }\n\n        logger.error(`${method.toUpperCase()} ${baseURL}${url} ${status || error.message}`);\n\n        return Promise.reject(error);\n      },\n    );\n  }\n\n  async getClmmConfigs(): Promise<ApiClmmConfigInfo[]> {\n    const res = await this.api.get(this.urlConfigs.CLMM_CONFIG || API_URLS.CLMM_CONFIG);\n    return res.data;\n  }\n\n  async getCpmmConfigs(): Promise<ApiCpmmConfigInfo[]> {\n    const res = await this.api.get(this.urlConfigs.CPMM_CONFIG || API_URLS.CPMM_CONFIG);\n    return res.data;\n  }\n\n  async getClmmPoolLines(poolId: string): Promise<{ price: string; liquidity: string }[]> {\n    const res = await this.api.get(\n      `${this.urlConfigs.POOL_LIQUIDITY_LINE || API_URLS.POOL_LIQUIDITY_LINE}?pool_id=${poolId}`,\n    );\n    return res.data;\n  }\n\n  async getBlockSlotCountForSecond(endpointUrl?: string): Promise<number> {\n    if (!endpointUrl) return 2;\n    const res: {\n      id: string;\n      jsonrpc: string;\n      result: { numSlots: number; numTransactions: number; samplePeriodSecs: number; slot: number }[];\n    } = await axios.post(endpointUrl, {\n      id: \"getRecentPerformanceSamples\",\n      jsonrpc: \"2.0\",\n      method: \"getRecentPerformanceSamples\",\n      params: [4],\n    });\n    const slotList = res.result.map((data) => data.numSlots);\n    return slotList.reduce((a, b) => a + b, 0) / slotList.length / 60;\n  }\n\n  async getChainTimeOffset(): Promise<{ offset: number }> {\n    const res = await this.api.get(this.urlConfigs.CHAIN_TIME || API_URLS.CHAIN_TIME);\n    return res.data;\n  }\n\n  async getRpcs(): Promise<{\n    rpcs: { batch: boolean; name: string; url: string; weight: number }[];\n    strategy: string;\n  }> {\n    return this.api.get(this.urlConfigs.RPCS || API_URLS.RPCS);\n  }\n\n  async getTokenList(): Promise<{ mintList: ApiV3Token[]; blacklist: string[]; whiteList: string[] }> {\n    const res = await this.api.get(this.urlConfigs.TOKEN_LIST || API_URLS.TOKEN_LIST);\n    return res.data;\n  }\n\n  async getJupTokenList(): Promise<\n    (ApiV3Token & {\n      freeze_authority: string | null;\n      mint_authority: string | null;\n      permanent_delegate: string | null;\n      minted_at: string;\n    })[]\n  > {\n    const r: JupToken[] = await this.api.get(\"\", {\n      baseURL: this.urlConfigs.JUP_TOKEN_LIST || API_URLS.JUP_TOKEN_LIST,\n    });\n    return r.map((t) => ({\n      ...t,\n      chainId: 101,\n      programId: t.tags.includes(\"token-2022\") ? TOKEN_2022_PROGRAM_ID.toBase58() : TOKEN_PROGRAM_ID.toBase58(),\n    }));\n  }\n\n  async getTokenInfo(mint: (string | PublicKey)[]): Promise<ApiV3Token[]> {\n    const res = await this.api.get(\n      (this.urlConfigs.MINT_INFO_ID || API_URLS.MINT_INFO_ID) + `?mints=${mint.map((m) => m.toString()).join(\",\")}`,\n    );\n    return res.data;\n  }\n\n  async getPoolList(props: FetchPoolParams = {}): Promise<PoolsApiReturn> {\n    const { type = \"all\", sort = \"liquidity\", order = \"desc\", page = 0, pageSize = 100 } = props;\n    const res = await this.api.get<PoolsApiReturn>(\n      (this.urlConfigs.POOL_LIST || API_URLS.POOL_LIST) +\n        `?poolType=${type}&poolSortField=${sort}&sortType=${order}&page=${page}&pageSize=${pageSize}`,\n    );\n    return res.data;\n  }\n\n  async fetchPoolById(props: { ids: string }): Promise<ApiV3PoolInfoItem[]> {\n    const { ids } = props;\n    const res = await this.api.get((this.urlConfigs.POOL_SEARCH_BY_ID || API_URLS.POOL_SEARCH_BY_ID) + `?ids=${ids}`);\n    return res.data;\n  }\n\n  async fetchPoolKeysById(props: { idList: string[] }): Promise<PoolKeys[]> {\n    const { idList } = props;\n\n    const cacheList: PoolKeys[] = [];\n\n    const readyList = idList.filter((poolId) => {\n      if (poolKeysCache.has(poolId)) {\n        cacheList.push(poolKeysCache.get(poolId)!);\n        return false;\n      }\n      return true;\n    });\n\n    let data: PoolKeys[] = [];\n    if (readyList.length) {\n      const res = await this.api.get<PoolKeys[]>(\n        (this.urlConfigs.POOL_KEY_BY_ID || API_URLS.POOL_KEY_BY_ID) + `?ids=${readyList.join(\",\")}`,\n      );\n      data = res.data.filter(Boolean);\n      data.forEach((poolKey) => {\n        poolKeysCache.set(poolKey.id, poolKey);\n      });\n    }\n\n    return cacheList.concat(data);\n  }\n\n  async fetchPoolByMints(\n    props: {\n      mint1: string | PublicKey;\n      mint2?: string | PublicKey;\n    } & Omit<FetchPoolParams, \"pageSize\">,\n  ): Promise<PoolsApiReturn> {\n    const {\n      mint1: propMint1,\n      mint2: propMint2,\n      type = PoolFetchType.All,\n      sort = \"default\",\n      order = \"desc\",\n      page = 1,\n    } = props;\n\n    const [mint1, mint2] = [\n      propMint1 ? solToWSol(propMint1).toBase58() : propMint1,\n      propMint2 && propMint2 !== \"undefined\" ? solToWSol(propMint2).toBase58() : \"\",\n    ];\n    const [baseMint, quoteMint] = mint2 && mint1 > mint2 ? [mint2, mint1] : [mint1, mint2];\n\n    const res = await this.api.get(\n      (this.urlConfigs.POOL_SEARCH_MINT || API_URLS.POOL_SEARCH_MINT) +\n        `?mint1=${baseMint}&mint2=${quoteMint}&poolType=${type}&poolSortField=${sort}&sortType=${order}&pageSize=100&page=${page}`,\n    );\n    return res.data;\n  }\n\n  async fetchFarmInfoById(props: { ids: string }): Promise<FormatFarmInfoOut[]> {\n    const { ids } = props;\n\n    const res = await this.api.get<FormatFarmInfoOut[]>(\n      (this.urlConfigs.FARM_INFO || API_URLS.FARM_INFO) + `?ids=${ids}`,\n    );\n    return res.data;\n  }\n\n  async fetchFarmKeysById(props: { ids: string }): Promise<FormatFarmKeyOut[]> {\n    const { ids } = props;\n\n    const res = await this.api.get<FormatFarmKeyOut[]>(\n      (this.urlConfigs.FARM_KEYS || API_URLS.FARM_KEYS) + `?ids=${ids}`,\n    );\n    return res.data;\n  }\n\n  async fetchAvailabilityStatus(): Promise<AvailabilityCheckAPI3> {\n    const res = await this.api.get<AvailabilityCheckAPI3>(\n      this.urlConfigs.CHECK_AVAILABILITY || API_URLS.CHECK_AVAILABILITY,\n    );\n    return res.data;\n  }\n\n  async fetchLaunchConfigs(): Promise<ApiLaunchConfig[]> {\n    if (cacheLaunchConfigs.get(this.cluster)?.length) {\n      return cacheLaunchConfigs.get(this.cluster)!;\n    }\n    const res = await this.api.get<{\n      id: string;\n      success: boolean;\n      data: ApiLaunchConfig[];\n    }>(\n      this.cluster === \"devnet\"\n        ? \"https://launch-mint-v1-devnet.raydium.io/main/configs\"\n        : \"https://launch-mint-v1.raydium.io/main/configs\",\n    );\n    cacheLaunchConfigs.set(this.cluster, res.data.data);\n    return res.data.data;\n  }\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 { 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 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 = Ct