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amazon-cognito-identity.js
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amazon-cognito-identity.js
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/*!
* Copyright 2016 Amazon.com,
* Inc. or its affiliates. All Rights Reserved.
*
* Licensed under the Amazon Software License (the "License").
* You may not use this file except in compliance with the
* License. A copy of the License is located at
*
* http://aws.amazon.com/asl/
*
* or in the "license" file accompanying this file. This file is
* distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR
* CONDITIONS OF ANY KIND, express or implied. See the License
* for the specific language governing permissions and
* limitations under the License.
*/
(function webpackUniversalModuleDefinition(root, factory) {
if(typeof exports === 'object' && typeof module === 'object')
module.exports = factory(require("aws-sdk/global"), require("aws-sdk/clients/cognitoidentityserviceprovider"));
else if(typeof define === 'function' && define.amd)
define(["aws-sdk/global", "aws-sdk/clients/cognitoidentityserviceprovider"], factory);
else if(typeof exports === 'object')
exports["AmazonCognitoIdentity"] = factory(require("aws-sdk/global"), require("aws-sdk/clients/cognitoidentityserviceprovider"));
else
root["AmazonCognitoIdentity"] = factory(root["AWSCognito"], root["AWSCognito"]["CognitoIdentityServiceProvider"]);
})(this, function(__WEBPACK_EXTERNAL_MODULE_1__, __WEBPACK_EXTERNAL_MODULE_12__) {
return /******/ (function(modules) { // webpackBootstrap
/******/ // The module cache
/******/ var installedModules = {};
/******/ // The require function
/******/ function __webpack_require__(moduleId) {
/******/ // Check if module is in cache
/******/ if(installedModules[moduleId])
/******/ return installedModules[moduleId].exports;
/******/ // Create a new module (and put it into the cache)
/******/ var module = installedModules[moduleId] = {
/******/ exports: {},
/******/ id: moduleId,
/******/ loaded: false
/******/ };
/******/ // Execute the module function
/******/ modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
/******/ // Flag the module as loaded
/******/ module.loaded = true;
/******/ // Return the exports of the module
/******/ return module.exports;
/******/ }
/******/ // expose the modules object (__webpack_modules__)
/******/ __webpack_require__.m = modules;
/******/ // expose the module cache
/******/ __webpack_require__.c = installedModules;
/******/ // __webpack_public_path__
/******/ __webpack_require__.p = "";
/******/ // Load entry module and return exports
/******/ return __webpack_require__(0);
/******/ })
/************************************************************************/
/******/ ([
/* 0 */
/***/ (function(module, exports, __webpack_require__) {
'use strict';
exports.__esModule = true;
var _src = __webpack_require__(15);
Object.keys(_src).forEach(function (key) {
if (key === "default" || key === "__esModule") return;
Object.defineProperty(exports, key, {
enumerable: true,
get: function get() {
return _src[key];
}
});
});
var _cognitoidentityserviceprovider = __webpack_require__(12);
var _cognitoidentityserviceprovider2 = _interopRequireDefault(_cognitoidentityserviceprovider);
var enhancements = _interopRequireWildcard(_src);
function _interopRequireWildcard(obj) { if (obj && obj.__esModule) { return obj; } else { var newObj = {}; if (obj != null) { for (var key in obj) { if (Object.prototype.hasOwnProperty.call(obj, key)) newObj[key] = obj[key]; } } newObj.default = obj; return newObj; } }
function _interopRequireDefault(obj) { return obj && obj.__esModule ? obj : { default: obj }; }
Object.keys(enhancements).forEach(function (key) {
_cognitoidentityserviceprovider2.default[key] = enhancements[key];
});
// The version of crypto-browserify included by aws-sdk only
// checks for window.crypto, not window.msCrypto as used by
// IE 11 – so we set it explicitly here
if (typeof window !== 'undefined' && !window.crypto && window.msCrypto) {
window.crypto = window.msCrypto;
}
/***/ }),
/* 1 */
/***/ (function(module, exports) {
module.exports = __WEBPACK_EXTERNAL_MODULE_1__;
/***/ }),
/* 2 */
/***/ (function(module, exports, __webpack_require__) {
'use strict';
exports.__esModule = true;
var _global = __webpack_require__(1);
var _BigInteger = __webpack_require__(3);
var _BigInteger2 = _interopRequireDefault(_BigInteger);
function _interopRequireDefault(obj) { return obj && obj.__esModule ? obj : { default: obj }; }
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } } /*!
* Copyright 2016 Amazon.com,
* Inc. or its affiliates. All Rights Reserved.
*
* Licensed under the Amazon Software License (the "License").
* You may not use this file except in compliance with the
* License. A copy of the License is located at
*
* http://aws.amazon.com/asl/
*
* or in the "license" file accompanying this file. This file is
* distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR
* CONDITIONS OF ANY KIND, express or implied. See the License
* for the specific language governing permissions and
* limitations under the License.
*/
var initN = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1' + '29024E088A67CC74020BBEA63B139B22514A08798E3404DD' + 'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245' + 'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' + 'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D' + 'C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F' + '83655D23DCA3AD961C62F356208552BB9ED529077096966D' + '670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' + 'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9' + 'DE2BCBF6955817183995497CEA956AE515D2261898FA0510' + '15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64' + 'ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7' + 'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B' + 'F12FFA06D98A0864D87602733EC86A64521F2B18177B200C' + 'BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31' + '43DB5BFCE0FD108E4B82D120A93AD2CAFFFFFFFFFFFFFFFF';
var newPasswordRequiredChallengeUserAttributePrefix = 'userAttributes.';
/** @class */
var AuthenticationHelper = function () {
/**
* Constructs a new AuthenticationHelper object
* @param {string} PoolName Cognito user pool name.
*/
function AuthenticationHelper(PoolName) {
_classCallCheck(this, AuthenticationHelper);
this.N = new _BigInteger2.default(initN, 16);
this.g = new _BigInteger2.default('2', 16);
this.k = new _BigInteger2.default(this.hexHash('00' + this.N.toString(16) + '0' + this.g.toString(16)), 16);
this.smallAValue = this.generateRandomSmallA();
this.largeAValue = this.calculateA(this.smallAValue);
this.infoBits = new _global.util.Buffer('Caldera Derived Key', 'utf8');
this.poolName = PoolName;
}
/**
* @returns {BigInteger} small A, a random number
*/
AuthenticationHelper.prototype.getSmallAValue = function getSmallAValue() {
return this.smallAValue;
};
/**
* @returns {BigInteger} large A, a value generated from small A
*/
AuthenticationHelper.prototype.getLargeAValue = function getLargeAValue() {
return this.largeAValue;
};
/**
* helper function to generate a random big integer
* @returns {BigInteger} a random value.
* @private
*/
AuthenticationHelper.prototype.generateRandomSmallA = function generateRandomSmallA() {
var hexRandom = _global.util.crypto.lib.randomBytes(128).toString('hex');
var randomBigInt = new _BigInteger2.default(hexRandom, 16);
var smallABigInt = randomBigInt.mod(this.N);
return smallABigInt;
};
/**
* helper function to generate a random string
* @returns {string} a random value.
* @private
*/
AuthenticationHelper.prototype.generateRandomString = function generateRandomString() {
return _global.util.crypto.lib.randomBytes(40).toString('base64');
};
/**
* @returns {string} Generated random value included in password hash.
*/
AuthenticationHelper.prototype.getRandomPassword = function getRandomPassword() {
return this.randomPassword;
};
/**
* @returns {string} Generated random value included in devices hash.
*/
AuthenticationHelper.prototype.getSaltDevices = function getSaltDevices() {
return this.SaltToHashDevices;
};
/**
* @returns {string} Value used to verify devices.
*/
AuthenticationHelper.prototype.getVerifierDevices = function getVerifierDevices() {
return this.verifierDevices;
};
/**
* Generate salts and compute verifier.
* @param {string} deviceGroupKey Devices to generate verifier for.
* @param {string} username User to generate verifier for.
* @returns {void}
*/
AuthenticationHelper.prototype.generateHashDevice = function generateHashDevice(deviceGroupKey, username) {
this.randomPassword = this.generateRandomString();
var combinedString = '' + deviceGroupKey + username + ':' + this.randomPassword;
var hashedString = this.hash(combinedString);
var hexRandom = _global.util.crypto.lib.randomBytes(16).toString('hex');
this.SaltToHashDevices = this.padHex(new _BigInteger2.default(hexRandom, 16));
var verifierDevicesNotPadded = this.g.modPow(new _BigInteger2.default(this.hexHash(this.SaltToHashDevices + hashedString), 16), this.N);
this.verifierDevices = this.padHex(verifierDevicesNotPadded);
};
/**
* Calculate the client's public value A = g^a%N
* with the generated random number a
* @param {BigInteger} a Randomly generated small A.
* @returns {BigInteger} Computed large A.
* @private
*/
AuthenticationHelper.prototype.calculateA = function calculateA(a) {
var A = this.g.modPow(a, this.N);
if (A.mod(this.N).equals(_BigInteger2.default.ZERO)) {
throw new Error('Illegal paramater. A mod N cannot be 0.');
}
return A;
};
/**
* Calculate the client's value U which is the hash of A and B
* @param {BigInteger} A Large A value.
* @param {BigInteger} B Server B value.
* @returns {BigInteger} Computed U value.
* @private
*/
AuthenticationHelper.prototype.calculateU = function calculateU(A, B) {
this.UHexHash = this.hexHash(this.padHex(A) + this.padHex(B));
var finalU = new _BigInteger2.default(this.UHexHash, 16);
return finalU;
};
/**
* Calculate a hash from a bitArray
* @param {Buffer} buf Value to hash.
* @returns {String} Hex-encoded hash.
* @private
*/
AuthenticationHelper.prototype.hash = function hash(buf) {
var hashHex = _global.util.crypto.sha256(buf, 'hex');
return new Array(64 - hashHex.length).join('0') + hashHex;
};
/**
* Calculate a hash from a hex string
* @param {String} hexStr Value to hash.
* @returns {String} Hex-encoded hash.
* @private
*/
AuthenticationHelper.prototype.hexHash = function hexHash(hexStr) {
return this.hash(new _global.util.Buffer(hexStr, 'hex'));
};
/**
* Standard hkdf algorithm
* @param {Buffer} ikm Input key material.
* @param {Buffer} salt Salt value.
* @returns {Buffer} Strong key material.
* @private
*/
AuthenticationHelper.prototype.computehkdf = function computehkdf(ikm, salt) {
var prk = _global.util.crypto.hmac(salt, ikm, 'buffer', 'sha256');
var infoBitsUpdate = _global.util.buffer.concat([this.infoBits, new _global.util.Buffer(String.fromCharCode(1), 'utf8')]);
var hmac = _global.util.crypto.hmac(prk, infoBitsUpdate, 'buffer', 'sha256');
return hmac.slice(0, 16);
};
/**
* Calculates the final hkdf based on computed S value, and computed U value and the key
* @param {String} username Username.
* @param {String} password Password.
* @param {BigInteger} serverBValue Server B value.
* @param {BigInteger} salt Generated salt.
* @returns {Buffer} Computed HKDF value.
*/
AuthenticationHelper.prototype.getPasswordAuthenticationKey = function getPasswordAuthenticationKey(username, password, serverBValue, salt) {
if (serverBValue.mod(this.N).equals(_BigInteger2.default.ZERO)) {
throw new Error('B cannot be zero.');
}
this.UValue = this.calculateU(this.largeAValue, serverBValue);
if (this.UValue.equals(_BigInteger2.default.ZERO)) {
throw new Error('U cannot be zero.');
}
var usernamePassword = '' + this.poolName + username + ':' + password;
var usernamePasswordHash = this.hash(usernamePassword);
var xValue = new _BigInteger2.default(this.hexHash(this.padHex(salt) + usernamePasswordHash), 16);
var gModPowXN = this.g.modPow(xValue, this.N);
var intValue2 = serverBValue.subtract(this.k.multiply(gModPowXN));
var sValue = intValue2.modPow(this.smallAValue.add(this.UValue.multiply(xValue)), this.N).mod(this.N);
var hkdf = this.computehkdf(new _global.util.Buffer(this.padHex(sValue), 'hex'), new _global.util.Buffer(this.padHex(this.UValue.toString(16)), 'hex'));
return hkdf;
};
/**
* Return constant newPasswordRequiredChallengeUserAttributePrefix
* @return {newPasswordRequiredChallengeUserAttributePrefix} constant prefix value
*/
AuthenticationHelper.prototype.getNewPasswordRequiredChallengeUserAttributePrefix = function getNewPasswordRequiredChallengeUserAttributePrefix() {
return newPasswordRequiredChallengeUserAttributePrefix;
};
/**
* Converts a BigInteger (or hex string) to hex format padded with zeroes for hashing
* @param {BigInteger|String} bigInt Number or string to pad.
* @returns {String} Padded hex string.
*/
AuthenticationHelper.prototype.padHex = function padHex(bigInt) {
var hashStr = bigInt.toString(16);
if (hashStr.length % 2 === 1) {
hashStr = '0' + hashStr;
} else if ('89ABCDEFabcdef'.indexOf(hashStr[0]) !== -1) {
hashStr = '00' + hashStr;
}
return hashStr;
};
return AuthenticationHelper;
}();
exports.default = AuthenticationHelper;
/***/ }),
/* 3 */
/***/ (function(module, exports) {
"use strict";
exports.__esModule = true;
// A small implementation of BigInteger based on http://www-cs-students.stanford.edu/~tjw/jsbn/
//
// All public methods have been removed except the following:
// new BigInteger(a, b) (only radix 2, 4, 8, 16 and 32 supported)
// toString (only radix 2, 4, 8, 16 and 32 supported)
// negate
// abs
// compareTo
// bitLength
// mod
// equals
// add
// subtract
// multiply
// divide
// modPow
exports.default = BigInteger;
/*
* Copyright (c) 2003-2005 Tom Wu
* All Rights Reserved.
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND,
* EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
* WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
*
* IN NO EVENT SHALL TOM WU BE LIABLE FOR ANY SPECIAL, INCIDENTAL,
* INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND, OR ANY DAMAGES WHATSOEVER
* RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER OR NOT ADVISED OF
* THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF LIABILITY, ARISING OUT
* OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*
* In addition, the following condition applies:
*
* All redistributions must retain an intact copy of this copyright notice
* and disclaimer.
*/
// (public) Constructor
function BigInteger(a, b) {
if (a != null) this.fromString(a, b);
}
// return new, unset BigInteger
function nbi() {
return new BigInteger(null);
}
// Bits per digit
var dbits;
// JavaScript engine analysis
var canary = 0xdeadbeefcafe;
var j_lm = (canary & 0xffffff) == 0xefcafe;
// am: Compute w_j += (x*this_i), propagate carries,
// c is initial carry, returns final carry.
// c < 3*dvalue, x < 2*dvalue, this_i < dvalue
// We need to select the fastest one that works in this environment.
// am1: use a single mult and divide to get the high bits,
// max digit bits should be 26 because
// max internal value = 2*dvalue^2-2*dvalue (< 2^53)
function am1(i, x, w, j, c, n) {
while (--n >= 0) {
var v = x * this[i++] + w[j] + c;
c = Math.floor(v / 0x4000000);
w[j++] = v & 0x3ffffff;
}
return c;
}
// am2 avoids a big mult-and-extract completely.
// Max digit bits should be <= 30 because we do bitwise ops
// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31)
function am2(i, x, w, j, c, n) {
var xl = x & 0x7fff,
xh = x >> 15;
while (--n >= 0) {
var l = this[i] & 0x7fff;
var h = this[i++] >> 15;
var m = xh * l + h * xl;
l = xl * l + ((m & 0x7fff) << 15) + w[j] + (c & 0x3fffffff);
c = (l >>> 30) + (m >>> 15) + xh * h + (c >>> 30);
w[j++] = l & 0x3fffffff;
}
return c;
}
// Alternately, set max digit bits to 28 since some
// browsers slow down when dealing with 32-bit numbers.
function am3(i, x, w, j, c, n) {
var xl = x & 0x3fff,
xh = x >> 14;
while (--n >= 0) {
var l = this[i] & 0x3fff;
var h = this[i++] >> 14;
var m = xh * l + h * xl;
l = xl * l + ((m & 0x3fff) << 14) + w[j] + c;
c = (l >> 28) + (m >> 14) + xh * h;
w[j++] = l & 0xfffffff;
}
return c;
}
var inBrowser = typeof navigator !== "undefined";
if (inBrowser && j_lm && navigator.appName == "Microsoft Internet Explorer") {
BigInteger.prototype.am = am2;
dbits = 30;
} else if (inBrowser && j_lm && navigator.appName != "Netscape") {
BigInteger.prototype.am = am1;
dbits = 26;
} else {
// Mozilla/Netscape seems to prefer am3
BigInteger.prototype.am = am3;
dbits = 28;
}
BigInteger.prototype.DB = dbits;
BigInteger.prototype.DM = (1 << dbits) - 1;
BigInteger.prototype.DV = 1 << dbits;
var BI_FP = 52;
BigInteger.prototype.FV = Math.pow(2, BI_FP);
BigInteger.prototype.F1 = BI_FP - dbits;
BigInteger.prototype.F2 = 2 * dbits - BI_FP;
// Digit conversions
var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz";
var BI_RC = new Array();
var rr, vv;
rr = "0".charCodeAt(0);
for (vv = 0; vv <= 9; ++vv) {
BI_RC[rr++] = vv;
}rr = "a".charCodeAt(0);
for (vv = 10; vv < 36; ++vv) {
BI_RC[rr++] = vv;
}rr = "A".charCodeAt(0);
for (vv = 10; vv < 36; ++vv) {
BI_RC[rr++] = vv;
}function int2char(n) {
return BI_RM.charAt(n);
}
function intAt(s, i) {
var c = BI_RC[s.charCodeAt(i)];
return c == null ? -1 : c;
}
// (protected) copy this to r
function bnpCopyTo(r) {
for (var i = this.t - 1; i >= 0; --i) {
r[i] = this[i];
}r.t = this.t;
r.s = this.s;
}
// (protected) set from integer value x, -DV <= x < DV
function bnpFromInt(x) {
this.t = 1;
this.s = x < 0 ? -1 : 0;
if (x > 0) this[0] = x;else if (x < -1) this[0] = x + this.DV;else this.t = 0;
}
// return bigint initialized to value
function nbv(i) {
var r = nbi();
r.fromInt(i);
return r;
}
// (protected) set from string and radix
function bnpFromString(s, b) {
var k;
if (b == 16) k = 4;else if (b == 8) k = 3;else if (b == 2) k = 1;else if (b == 32) k = 5;else if (b == 4) k = 2;else throw new Error("Only radix 2, 4, 8, 16, 32 are supported");
this.t = 0;
this.s = 0;
var i = s.length,
mi = false,
sh = 0;
while (--i >= 0) {
var x = intAt(s, i);
if (x < 0) {
if (s.charAt(i) == "-") mi = true;
continue;
}
mi = false;
if (sh == 0) this[this.t++] = x;else if (sh + k > this.DB) {
this[this.t - 1] |= (x & (1 << this.DB - sh) - 1) << sh;
this[this.t++] = x >> this.DB - sh;
} else this[this.t - 1] |= x << sh;
sh += k;
if (sh >= this.DB) sh -= this.DB;
}
this.clamp();
if (mi) BigInteger.ZERO.subTo(this, this);
}
// (protected) clamp off excess high words
function bnpClamp() {
var c = this.s & this.DM;
while (this.t > 0 && this[this.t - 1] == c) {
--this.t;
}
}
// (public) return string representation in given radix
function bnToString(b) {
if (this.s < 0) return "-" + this.negate().toString();
var k;
if (b == 16) k = 4;else if (b == 8) k = 3;else if (b == 2) k = 1;else if (b == 32) k = 5;else if (b == 4) k = 2;else throw new Error("Only radix 2, 4, 8, 16, 32 are supported");
var km = (1 << k) - 1,
d,
m = false,
r = "",
i = this.t;
var p = this.DB - i * this.DB % k;
if (i-- > 0) {
if (p < this.DB && (d = this[i] >> p) > 0) {
m = true;
r = int2char(d);
}
while (i >= 0) {
if (p < k) {
d = (this[i] & (1 << p) - 1) << k - p;
d |= this[--i] >> (p += this.DB - k);
} else {
d = this[i] >> (p -= k) & km;
if (p <= 0) {
p += this.DB;
--i;
}
}
if (d > 0) m = true;
if (m) r += int2char(d);
}
}
return m ? r : "0";
}
// (public) -this
function bnNegate() {
var r = nbi();
BigInteger.ZERO.subTo(this, r);
return r;
}
// (public) |this|
function bnAbs() {
return this.s < 0 ? this.negate() : this;
}
// (public) return + if this > a, - if this < a, 0 if equal
function bnCompareTo(a) {
var r = this.s - a.s;
if (r != 0) return r;
var i = this.t;
r = i - a.t;
if (r != 0) return this.s < 0 ? -r : r;
while (--i >= 0) {
if ((r = this[i] - a[i]) != 0) return r;
}return 0;
}
// returns bit length of the integer x
function nbits(x) {
var r = 1,
t;
if ((t = x >>> 16) != 0) {
x = t;
r += 16;
}
if ((t = x >> 8) != 0) {
x = t;
r += 8;
}
if ((t = x >> 4) != 0) {
x = t;
r += 4;
}
if ((t = x >> 2) != 0) {
x = t;
r += 2;
}
if ((t = x >> 1) != 0) {
x = t;
r += 1;
}
return r;
}
// (public) return the number of bits in "this"
function bnBitLength() {
if (this.t <= 0) return 0;
return this.DB * (this.t - 1) + nbits(this[this.t - 1] ^ this.s & this.DM);
}
// (protected) r = this << n*DB
function bnpDLShiftTo(n, r) {
var i;
for (i = this.t - 1; i >= 0; --i) {
r[i + n] = this[i];
}for (i = n - 1; i >= 0; --i) {
r[i] = 0;
}r.t = this.t + n;
r.s = this.s;
}
// (protected) r = this >> n*DB
function bnpDRShiftTo(n, r) {
for (var i = n; i < this.t; ++i) {
r[i - n] = this[i];
}r.t = Math.max(this.t - n, 0);
r.s = this.s;
}
// (protected) r = this << n
function bnpLShiftTo(n, r) {
var bs = n % this.DB;
var cbs = this.DB - bs;
var bm = (1 << cbs) - 1;
var ds = Math.floor(n / this.DB),
c = this.s << bs & this.DM,
i;
for (i = this.t - 1; i >= 0; --i) {
r[i + ds + 1] = this[i] >> cbs | c;
c = (this[i] & bm) << bs;
}
for (i = ds - 1; i >= 0; --i) {
r[i] = 0;
}r[ds] = c;
r.t = this.t + ds + 1;
r.s = this.s;
r.clamp();
}
// (protected) r = this >> n
function bnpRShiftTo(n, r) {
r.s = this.s;
var ds = Math.floor(n / this.DB);
if (ds >= this.t) {
r.t = 0;
return;
}
var bs = n % this.DB;
var cbs = this.DB - bs;
var bm = (1 << bs) - 1;
r[0] = this[ds] >> bs;
for (var i = ds + 1; i < this.t; ++i) {
r[i - ds - 1] |= (this[i] & bm) << cbs;
r[i - ds] = this[i] >> bs;
}
if (bs > 0) r[this.t - ds - 1] |= (this.s & bm) << cbs;
r.t = this.t - ds;
r.clamp();
}
// (protected) r = this - a
function bnpSubTo(a, r) {
var i = 0,
c = 0,
m = Math.min(a.t, this.t);
while (i < m) {
c += this[i] - a[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
if (a.t < this.t) {
c -= a.s;
while (i < this.t) {
c += this[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
c += this.s;
} else {
c += this.s;
while (i < a.t) {
c -= a[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
c -= a.s;
}
r.s = c < 0 ? -1 : 0;
if (c < -1) r[i++] = this.DV + c;else if (c > 0) r[i++] = c;
r.t = i;
r.clamp();
}
// (protected) r = this * a, r != this,a (HAC 14.12)
// "this" should be the larger one if appropriate.
function bnpMultiplyTo(a, r) {
var x = this.abs(),
y = a.abs();
var i = x.t;
r.t = i + y.t;
while (--i >= 0) {
r[i] = 0;
}for (i = 0; i < y.t; ++i) {
r[i + x.t] = x.am(0, y[i], r, i, 0, x.t);
}r.s = 0;
r.clamp();
if (this.s != a.s) BigInteger.ZERO.subTo(r, r);
}
// (protected) r = this^2, r != this (HAC 14.16)
function bnpSquareTo(r) {
var x = this.abs();
var i = r.t = 2 * x.t;
while (--i >= 0) {
r[i] = 0;
}for (i = 0; i < x.t - 1; ++i) {
var c = x.am(i, x[i], r, 2 * i, 0, 1);
if ((r[i + x.t] += x.am(i + 1, 2 * x[i], r, 2 * i + 1, c, x.t - i - 1)) >= x.DV) {
r[i + x.t] -= x.DV;
r[i + x.t + 1] = 1;
}
}
if (r.t > 0) r[r.t - 1] += x.am(i, x[i], r, 2 * i, 0, 1);
r.s = 0;
r.clamp();
}
// (protected) divide this by m, quotient and remainder to q, r (HAC 14.20)
// r != q, this != m. q or r may be null.
function bnpDivRemTo(m, q, r) {
var pm = m.abs();
if (pm.t <= 0) return;
var pt = this.abs();
if (pt.t < pm.t) {
if (q != null) q.fromInt(0);
if (r != null) this.copyTo(r);
return;
}
if (r == null) r = nbi();
var y = nbi(),
ts = this.s,
ms = m.s;
var nsh = this.DB - nbits(pm[pm.t - 1]);
// normalize modulus
if (nsh > 0) {
pm.lShiftTo(nsh, y);
pt.lShiftTo(nsh, r);
} else {
pm.copyTo(y);
pt.copyTo(r);
}
var ys = y.t;
var y0 = y[ys - 1];
if (y0 == 0) return;
var yt = y0 * (1 << this.F1) + (ys > 1 ? y[ys - 2] >> this.F2 : 0);
var d1 = this.FV / yt,
d2 = (1 << this.F1) / yt,
e = 1 << this.F2;
var i = r.t,
j = i - ys,
t = q == null ? nbi() : q;
y.dlShiftTo(j, t);
if (r.compareTo(t) >= 0) {
r[r.t++] = 1;
r.subTo(t, r);
}
BigInteger.ONE.dlShiftTo(ys, t);
t.subTo(y, y);
// "negative" y so we can replace sub with am later
while (y.t < ys) {
y[y.t++] = 0;
}while (--j >= 0) {
// Estimate quotient digit
var qd = r[--i] == y0 ? this.DM : Math.floor(r[i] * d1 + (r[i - 1] + e) * d2);
if ((r[i] += y.am(0, qd, r, j, 0, ys)) < qd) {
// Try it out
y.dlShiftTo(j, t);
r.subTo(t, r);
while (r[i] < --qd) {
r.subTo(t, r);
}
}
}
if (q != null) {
r.drShiftTo(ys, q);
if (ts != ms) BigInteger.ZERO.subTo(q, q);
}
r.t = ys;
r.clamp();
if (nsh > 0) r.rShiftTo(nsh, r);
// Denormalize remainder
if (ts < 0) BigInteger.ZERO.subTo(r, r);
}
// (public) this mod a
function bnMod(a) {
var r = nbi();
this.abs().divRemTo(a, null, r);
if (this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r, r);
return r;
}
// (protected) return "-1/this % 2^DB"; useful for Mont. reduction
// justification:
// xy == 1 (mod m)
// xy = 1+km
// xy(2-xy) = (1+km)(1-km)
// x[y(2-xy)] = 1-k^2m^2
// x[y(2-xy)] == 1 (mod m^2)
// if y is 1/x mod m, then y(2-xy) is 1/x mod m^2
// should reduce x and y(2-xy) by m^2 at each step to keep size bounded.
// JS multiply "overflows" differently from C/C++, so care is needed here.
function bnpInvDigit() {
if (this.t < 1) return 0;
var x = this[0];
if ((x & 1) == 0) return 0;
var y = x & 3;
// y == 1/x mod 2^2
y = y * (2 - (x & 0xf) * y) & 0xf;
// y == 1/x mod 2^4
y = y * (2 - (x & 0xff) * y) & 0xff;
// y == 1/x mod 2^8
y = y * (2 - ((x & 0xffff) * y & 0xffff)) & 0xffff;
// y == 1/x mod 2^16
// last step - calculate inverse mod DV directly;
// assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints
y = y * (2 - x * y % this.DV) % this.DV;
// y == 1/x mod 2^dbits
// we really want the negative inverse, and -DV < y < DV
return y > 0 ? this.DV - y : -y;
}
function bnEquals(a) {
return this.compareTo(a) == 0;
}
// (protected) r = this + a
function bnpAddTo(a, r) {
var i = 0,
c = 0,
m = Math.min(a.t, this.t);
while (i < m) {
c += this[i] + a[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
if (a.t < this.t) {
c += a.s;
while (i < this.t) {
c += this[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
c += this.s;
} else {
c += this.s;
while (i < a.t) {
c += a[i];
r[i++] = c & this.DM;
c >>= this.DB;
}
c += a.s;
}
r.s = c < 0 ? -1 : 0;
if (c > 0) r[i++] = c;else if (c < -1) r[i++] = this.DV + c;
r.t = i;
r.clamp();
}
// (public) this + a
function bnAdd(a) {
var r = nbi();