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check input using extended format: https://www.fia.gov.tw/singlehtml/6?cntId=aaa97a9dcf2649d5bdd317f554e24f75\n * @returns { boolean } is `input` a valid GUI number\n */\nexport function isGuiNumberValid(\n  input: string | number,\n  extended = false\n): boolean {\n  if (typeof input !== 'string' && typeof input !== 'number') return false\n\n  /**\n   * Example: 12345675\n   * Step 1:\n   * 1 * 1 = 1\n   * 2 * 2 = 4\n   * 3 * 1 = 3\n   * 4 * 2 = 8\n   * 5 * 1 = 5\n   * 6 * 2 = 12\n   * 7 * 4 = 28\n   * 5 * 1 = 5\n   *\n   * Step 2:\n   * 1 -> 1\n   * 4 -> 4\n   * 3 -> 3\n   * 8 -> 8\n   * 5 -> 5\n   * 12 -> 1 + 2 = 3\n   * 28 -> 2 + 8 = 10\n   * 5 -> 5\n   *\n   * Step 3:\n   * (1 + 4 + 3 + 8 + 5 + 3 + 10 + 5) % 10 = 9\n   */\n\n  const GUI_NUMBER_COEFFICIENTS = [1, 2, 1, 2, 1, 2, 4, 1]\n\n  const n = input.toString()\n  const regex = /^\\d{8}$/\n\n  if (!regex.test(n)) return false\n\n  /**\n   * Step 1: 先把統一編號的每個數字分別乘上對應的係數 (1, 2, 1, 2, 1, 2, 4, 1)\n   * Step 2: 再把個別乘積的十位數與個位數相加，得出八個小於 10 的數字\n   */\n\n  const intRadix = 10\n  const checksum = zipWith(\n    GUI_NUMBER_COEFFICIENTS,\n    n.split('').map(c => parseInt(c, intRadix)),\n    multiply\n  )\n    .map(n => (n % 10) + Math.floor(n / 10))\n    .reduce(add, 0)\n\n  /**\n   * Step 3: 檢查把這 8 個數字相加之後計算此和除以 5 or 10 的餘數\n   * Step 4:\n   *  4-1: 若是餘數為 0，則為正確的統一編號\n   *  4-2: 若是餘數為 9，且原統一編號的第七位是 7，則也為正確的統一編號\n   */\n\n  const divisor = extended ? 5 : 10\n\n  return (\n    checksum % divisor === 0 ||\n    (parseInt(n.charAt(6), intRadix) === 7 && (checksum + 1) % divisor === 0)\n  )\n}\n\n/**\n * Verify the input is a valid National identification number (中華民國身分證字號)\n *\n * @param { string } input National identification number\n * @returns { boolean } is `input` a valid national ID number\n */\nexport function isNationalIdentificationNumberValid(input: string): boolean {\n  if (typeof input !== 'string') return false\n\n  const regex = /^[A-Z][1,2]\\d{8}$/\n\n  return regex.test(input) && verifyTaiwanIdIntermediateString(input)\n}\n\n/**\n * Verify the input is a valid resident certificate number (臺灣地區無戶籍國民、外國人、大陸地區人民及香港或澳門居民之專屬代號)\n *\n * @param { string } input resident certificate number\n * @returns { boolean } is `input` a valid resident certificate number\n */\nexport function isResidentCertificateNumberValid(input: string): boolean {\n  if (typeof input !== 'string') return false\n\n  return (\n    isNewResidentCertificateNumberValid(input) ||\n    isOriginalResidentCertificateNumberValid(input)\n  )\n}\n\n/**\n * Verify the input is a valid new resident certificate number (臺灣地區無戶籍國民、外國人、大陸地區人民及香港或澳門居民之專屬代號)\n *\n * @param { string } input resident certificate number\n * @returns { boolean } is `input` a valid new resident certificate number\n */\nexport function isNewResidentCertificateNumberValid(input: string): boolean {\n  if (typeof input !== 'string') return false\n\n  const regex = /^[A-Z][8,9]\\d{8}$/\n\n  return regex.test(input) && verifyTaiwanIdIntermediateString(input)\n}\n\n/**\n * Verify the input is a original valid resident certificate number (臺灣地區無戶籍國民、外國人、大陸地區人民及香港或澳門居民之專屬代號)\n *\n * @param { string } input resident certificate number\n * @returns { boolean } is `input` a valid original resident certificate number\n */\nexport function isOriginalResidentCertificateNumberValid(\n  input: string\n): boolean {\n  if (typeof input !== 'string') return false\n\n  const regex = /^[A-Z]{2}\\d{8}$/\n\n  return regex.test(input) && verifyTaiwanIdIntermediateString(input)\n}\n\n/**\n * Verify the input is a valid citizen digital certificate number (自然人憑證)\n *\n * @param { string } input citizen digital certificate number\n * @returns { boolean } is `input` a valid citizen digital certificate number\n */\nexport function isCitizenDigitalCertificateNumberValid(input: string): boolean {\n  if (typeof input !== 'string') return false\n\n  const n = input.toString()\n\n  // 驗證規則為兩碼英文 + 14 碼數字\n  const regex = /^[A-Z]{2}\\d{14}$/\n\n  return regex.test(n)\n}\n\n/**\n * Verify the input is a valid E-Invoice cell phone barcode (電子發票手機條碼)\n *\n * @param { string } input E-Invoice cell phone barcode\n * @returns { boolean } is `input` a valid e-invoice cell phone barcode\n */\nexport function isEInvoiceCellPhoneBarcodeValid(input: string): boolean {\n  if (typeof input !== 'string') return false\n\n  const n = input.toString()\n\n  /**\n   * 總長度為 8 碼\n   * 第 1 碼為 /\n   * 第 2-8 碼由 0-9 (數字), A-Z (大寫英文字母), .(period), -(hyphen), +(plus) 組成\n   */\n  const regex = /^\\/[\\dA-Z.\\-+]{7}$/\n\n  return regex.test(n)\n}\n\n/**\n * Verify the input is a valid E-Invoice donate code (電子發票捐贈碼)\n *\n * @param { string | number } input E-Invoice donate code\n * @returns { boolean } is `input` a valid e-invoice donate code\n */\nexport function isEInvoiceDonateCodeValid(input: string | number): boolean {\n  if (typeof input !== 'string' && typeof input !== 'number') return false\n\n  const n = input.toString()\n\n  // 總長度為 3-7 碼 0-9 的數字\n  const regex = /^[\\d]{3,7}$/\n\n  return regex.test(n)\n}\n\nexport type CreditCardValidationOptions = {\n  /**\n   * validate `input` with regex\n   * (Warning! Card issuers might introduce new card number patterns. Use this in production might cause unexpected results.)\n   */\n  checkIssuerRegexes?: boolean\n}\n\n/**\n * Verify the input is a valid credit card number (信用卡卡號)\n *\n * @param { string | number } input credit card number\n * @param { CreditCardValidationOptions } creditCardValidationOptions credit card validation options\n * @returns { boolean } is `input` a valid credit card number\n */\nexport function isCreditCardNumberValid(input: string, options: CreditCardValidationOptions = {}): boolean {\n  if (typeof input !== 'string') return false\n\n  const regex = /^[0-9]{12,19}$/\n\n  if (!regex.test(input)) return false\n\n  // ref:\n  //   https://stackoverflow.com/questions/9315647/regex-credit-card-number-tests\n  //   https://en.wikipedia.org/wiki/Payment_card_number\n  const issuerRegexes = [\n    /^3[47][0-9]{13}$/, // American Express\n    /^(6541|6556)[0-9]{12}$/, // BCGlobal\n    /^389[0-9]{11}$/, // Carte Blanche\n    /^3(?:0[0-5]|[68][0-9])[0-9]{11}$/, // Diner's Club\n    /^65[4-9][0-9]{13}|64[4-9][0-9]{13}|6011[0-9]{12}|(622(?:12[6-9]|1[3-9][0-9]|[2-8][0-9][0-9]|9[01][0-9]|92[0-5])[0-9]{10})$/, // Discover\n    /^63[7-9][0-9]{13}$/, // Insta Payment\n    /^(?:2131|1800|35\\d{3})\\d{11}$/, // JCB\n    /^9[0-9]{15}$/, // KoreanLocalCard\n    /^(6304|6706|6709|6771)[0-9]{12,15}$/, // Laser\n    /^(5018|5020|5038|6304|6759|6761|6763)[0-9]{8,15}$/, // Maestro\n    /^(5[1-5][0-9]{14}|2(22[1-9][0-9]{12}|2[3-9][0-9]{13}|[3-6][0-9]{14}|7[0-1][0-9]{13}|720[0-9]{12}))$/, // Mastercard\n    /^(6334|6767)[0-9]{12}|(6334|6767)[0-9]{14}|(6334|6767)[0-9]{15}$/, // Solo\n    /^(4903|4905|4911|4936|6333|6759)[0-9]{12}|(4903|4905|4911|4936|6333|6759)[0-9]{14}|(4903|4905|4911|4936|6333|6759)[0-9]{15}|564182[0-9]{10}|564182[0-9]{12}|564182[0-9]{13}|633110[0-9]{10}|633110[0-9]{12}|633110[0-9]{13}$/, // Switch\n    /^(62[0-9]{14,17})$/, // Union Pay\n    /^4[0-9]{12}(?:[0-9]{3})?$/, // Visa\n    /^(?:4[0-9]{12}(?:[0-9]{3})?|5[1-5][0-9]{14})$/ // Visa Master\n  ]\n\n  const { checkIssuerRegexes = false } = options\n\n  if (checkIssuerRegexes && !issuerRegexes.some(regex => regex.test(input)))\n    return false\n\n  // Luhn algorithm\n  // ref: https://en.wikipedia.org/wiki/Luhn_algorithm\n  const digits = input.split('').map(d => parseInt(d, 10))\n  const sum = digits.reverse().reduce((acc, d, i) => {\n    if (i % 2 === 0) return acc + d\n    return acc + (d * 2 > 9 ? d * 2 - 9 : d * 2)\n  }, 0)\n\n  return sum % 10 === 0\n}\n\n/**\n * Verify the intermediate string for isNationalIdentificationNumberValid and isResidentCertificateNumberValid\n *\n * @param { string } input String to verify\n * @returns { boolean } is `input` a valid Taiwan ID intermediate string\n */\nfunction verifyTaiwanIdIntermediateString(input: string): boolean {\n  const intRadix = 10\n\n  /**\n   *  A=10 台北市     J=18 新竹縣     S=26 高雄縣\n   *  B=11 台中市     K=19 苗栗縣     T=27 屏東縣\n   *  C=12 基隆市     L=20 台中縣     U=28 花蓮縣\n   *  D=13 台南市     M=21 南投縣     V=29 台東縣\n   *  E=14 高雄市     N=22 彰化縣     W=32 金門縣*\n   *  F=15 台北縣     O=35 新竹市*    X=30 澎湖縣\n   *  G=16 宜蘭縣     P=23 雲林縣     Y=31 陽明山\n   *  H=17 桃園縣     Q=24 嘉義縣     Z=33 連江縣*\n   *  I=34 嘉義市*    R=25 台南縣\n   *\n   *  Step 1: 英文字母按照上表轉換為數字之後，十位數 * 1 + 個位數 * 9 相加\n   */\n  const TAIWAN_ID_LOCALE_CODE_LIST = [\n    1, // A -> 10 -> 1 * 1 + 9 * 0 = 1\n    10, // B -> 11 -> 1 * 1 + 9 * 1 = 10\n    19, // C -> 12 -> 1 * 1 + 9 * 2 = 19\n    28, // D\n    37, // E\n    46, // F\n    55, // G\n    64, // H\n    39, // I -> 34 -> 1 * 3 + 9 * 4 = 39\n    73, // J\n    82, // K\n    2, // L\n    11, // M\n    20, // N\n    48, // O -> 35 -> 1 * 3 + 9 * 5 = 48\n    29, // P\n    38, // Q\n    47, // R\n    56, // S\n    65, // T\n    74, // U\n    83, // V\n    21, // W -> 32 -> 1 * 3 + 9 * 2 = 21\n    3, // X\n    12, // Y\n    30 // Z -> 33 -> 1 * 3 + 9 * 3 = 30\n  ]\n\n  const RESIDENT_CERTIFICATE_NUMBER_LIST = [\n    0, // A\n    1, // B\n    2, // C\n    3, // D\n    4, // E\n    5, // F\n    6, // G\n    7, // H\n    4, // I\n    8, // J\n    9, // K\n    0, // L\n    1, // M\n    2, // N\n    5, // O\n    3, // P\n    4, // Q\n    5, // R\n    6, // S\n    7, // T\n    8, // U\n    9, // V\n    2, // W\n    0, // X\n    1, // Y\n    3 // Z\n  ]\n\n  const getCharOrder = (s: string, i: number) =>\n    s.charCodeAt(i) - 'A'.charCodeAt(0)\n\n  const firstDigit = TAIWAN_ID_LOCALE_CODE_LIST[getCharOrder(input, 0)]\n\n  const secondDigit = isNaN(parseInt(input[1], intRadix)) // if is not a number (舊版居留證編號)\n    ? 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