appwrite
Version:
Appwrite is an open-source self-hosted backend server that abstracts and simplifies complex and repetitive development tasks behind a very simple REST API
1,304 lines (1,042 loc) • 427 kB
JavaScript
(function (exports) {
'use strict';
/******************************************************************************
Copyright (c) Microsoft Corporation.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES WITH
REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY
AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT,
INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
***************************************************************************** */
/* global Reflect, Promise, SuppressedError, Symbol, Iterator */
function __awaiter(thisArg, _arguments, P, generator) {
function adopt(value) { return value instanceof P ? value : new P(function (resolve) { resolve(value); }); }
return new (P || (P = Promise))(function (resolve, reject) {
function fulfilled(value) { try { step(generator.next(value)); } catch (e) { reject(e); } }
function rejected(value) { try { step(generator["throw"](value)); } catch (e) { reject(e); } }
function step(result) { result.done ? resolve(result.value) : adopt(result.value).then(fulfilled, rejected); }
step((generator = generator.apply(thisArg, _arguments || [])).next());
});
}
function __classPrivateFieldGet(receiver, state, kind, f) {
if (kind === "a" && !f) throw new TypeError("Private accessor was defined without a getter");
if (typeof state === "function" ? receiver !== state || !f : !state.has(receiver)) throw new TypeError("Cannot read private member from an object whose class did not declare it");
return kind === "m" ? f : kind === "a" ? f.call(receiver) : f ? f.value : state.get(receiver);
}
typeof SuppressedError === "function" ? SuppressedError : function (error, suppressed, message) {
var e = new Error(message);
return e.name = "SuppressedError", e.error = error, e.suppressed = suppressed, e;
};
var commonjsGlobal = typeof globalThis !== 'undefined' ? globalThis : typeof window !== 'undefined' ? window : typeof global !== 'undefined' ? global : typeof self !== 'undefined' ? self : {};
function getDefaultExportFromCjs (x) {
return x && x.__esModule && Object.prototype.hasOwnProperty.call(x, 'default') ? x['default'] : x;
}
var jsonBigint = {exports: {}};
var stringify = {exports: {}};
var bignumber = {exports: {}};
(function (module) {
(function (globalObject) {
/*
* bignumber.js v9.3.1
* A JavaScript library for arbitrary-precision arithmetic.
* https://github.com/MikeMcl/bignumber.js
* Copyright (c) 2025 Michael Mclaughlin <M8ch88l@gmail.com>
* MIT Licensed.
*
* BigNumber.prototype methods | BigNumber methods
* |
* absoluteValue abs | clone
* comparedTo | config set
* decimalPlaces dp | DECIMAL_PLACES
* dividedBy div | ROUNDING_MODE
* dividedToIntegerBy idiv | EXPONENTIAL_AT
* exponentiatedBy pow | RANGE
* integerValue | CRYPTO
* isEqualTo eq | MODULO_MODE
* isFinite | POW_PRECISION
* isGreaterThan gt | FORMAT
* isGreaterThanOrEqualTo gte | ALPHABET
* isInteger | isBigNumber
* isLessThan lt | maximum max
* isLessThanOrEqualTo lte | minimum min
* isNaN | random
* isNegative | sum
* isPositive |
* isZero |
* minus |
* modulo mod |
* multipliedBy times |
* negated |
* plus |
* precision sd |
* shiftedBy |
* squareRoot sqrt |
* toExponential |
* toFixed |
* toFormat |
* toFraction |
* toJSON |
* toNumber |
* toPrecision |
* toString |
* valueOf |
*
*/
var BigNumber,
isNumeric = /^-?(?:\d+(?:\.\d*)?|\.\d+)(?:e[+-]?\d+)?$/i,
mathceil = Math.ceil,
mathfloor = Math.floor,
bignumberError = '[BigNumber Error] ',
tooManyDigits = bignumberError + 'Number primitive has more than 15 significant digits: ',
BASE = 1e14,
LOG_BASE = 14,
MAX_SAFE_INTEGER = 0x1fffffffffffff, // 2^53 - 1
// MAX_INT32 = 0x7fffffff, // 2^31 - 1
POWS_TEN = [1, 10, 100, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13],
SQRT_BASE = 1e7,
// EDITABLE
// The limit on the value of DECIMAL_PLACES, TO_EXP_NEG, TO_EXP_POS, MIN_EXP, MAX_EXP, and
// the arguments to toExponential, toFixed, toFormat, and toPrecision.
MAX = 1E9; // 0 to MAX_INT32
/*
* Create and return a BigNumber constructor.
*/
function clone(configObject) {
var div, convertBase, parseNumeric,
P = BigNumber.prototype = { constructor: BigNumber, toString: null, valueOf: null },
ONE = new BigNumber(1),
//----------------------------- EDITABLE CONFIG DEFAULTS -------------------------------
// The default values below must be integers within the inclusive ranges stated.
// The values can also be changed at run-time using BigNumber.set.
// The maximum number of decimal places for operations involving division.
DECIMAL_PLACES = 20, // 0 to MAX
// The rounding mode used when rounding to the above decimal places, and when using
// toExponential, toFixed, toFormat and toPrecision, and round (default value).
// UP 0 Away from zero.
// DOWN 1 Towards zero.
// CEIL 2 Towards +Infinity.
// FLOOR 3 Towards -Infinity.
// HALF_UP 4 Towards nearest neighbour. If equidistant, up.
// HALF_DOWN 5 Towards nearest neighbour. If equidistant, down.
// HALF_EVEN 6 Towards nearest neighbour. If equidistant, towards even neighbour.
// HALF_CEIL 7 Towards nearest neighbour. If equidistant, towards +Infinity.
// HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.
ROUNDING_MODE = 4, // 0 to 8
// EXPONENTIAL_AT : [TO_EXP_NEG , TO_EXP_POS]
// The exponent value at and beneath which toString returns exponential notation.
// Number type: -7
TO_EXP_NEG = -7, // 0 to -MAX
// The exponent value at and above which toString returns exponential notation.
// Number type: 21
TO_EXP_POS = 21, // 0 to MAX
// RANGE : [MIN_EXP, MAX_EXP]
// The minimum exponent value, beneath which underflow to zero occurs.
// Number type: -324 (5e-324)
MIN_EXP = -1e7, // -1 to -MAX
// The maximum exponent value, above which overflow to Infinity occurs.
// Number type: 308 (1.7976931348623157e+308)
// For MAX_EXP > 1e7, e.g. new BigNumber('1e100000000').plus(1) may be slow.
MAX_EXP = 1e7, // 1 to MAX
// Whether to use cryptographically-secure random number generation, if available.
CRYPTO = false, // true or false
// The modulo mode used when calculating the modulus: a mod n.
// The quotient (q = a / n) is calculated according to the corresponding rounding mode.
// The remainder (r) is calculated as: r = a - n * q.
//
// UP 0 The remainder is positive if the dividend is negative, else is negative.
// DOWN 1 The remainder has the same sign as the dividend.
// This modulo mode is commonly known as 'truncated division' and is
// equivalent to (a % n) in JavaScript.
// FLOOR 3 The remainder has the same sign as the divisor (Python %).
// HALF_EVEN 6 This modulo mode implements the IEEE 754 remainder function.
// EUCLID 9 Euclidian division. q = sign(n) * floor(a / abs(n)).
// The remainder is always positive.
//
// The truncated division, floored division, Euclidian division and IEEE 754 remainder
// modes are commonly used for the modulus operation.
// Although the other rounding modes can also be used, they may not give useful results.
MODULO_MODE = 1, // 0 to 9
// The maximum number of significant digits of the result of the exponentiatedBy operation.
// If POW_PRECISION is 0, there will be unlimited significant digits.
POW_PRECISION = 0, // 0 to MAX
// The format specification used by the BigNumber.prototype.toFormat method.
FORMAT = {
prefix: '',
groupSize: 3,
secondaryGroupSize: 0,
groupSeparator: ',',
decimalSeparator: '.',
fractionGroupSize: 0,
fractionGroupSeparator: '\xA0', // non-breaking space
suffix: ''
},
// The alphabet used for base conversion. It must be at least 2 characters long, with no '+',
// '-', '.', whitespace, or repeated character.
// '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ$_'
ALPHABET = '0123456789abcdefghijklmnopqrstuvwxyz',
alphabetHasNormalDecimalDigits = true;
//------------------------------------------------------------------------------------------
// CONSTRUCTOR
/*
* The BigNumber constructor and exported function.
* Create and return a new instance of a BigNumber object.
*
* v {number|string|BigNumber} A numeric value.
* [b] {number} The base of v. Integer, 2 to ALPHABET.length inclusive.
*/
function BigNumber(v, b) {
var alphabet, c, caseChanged, e, i, isNum, len, str,
x = this;
// Enable constructor call without `new`.
if (!(x instanceof BigNumber)) return new BigNumber(v, b);
if (b == null) {
if (v && v._isBigNumber === true) {
x.s = v.s;
if (!v.c || v.e > MAX_EXP) {
x.c = x.e = null;
} else if (v.e < MIN_EXP) {
x.c = [x.e = 0];
} else {
x.e = v.e;
x.c = v.c.slice();
}
return;
}
if ((isNum = typeof v == 'number') && v * 0 == 0) {
// Use `1 / n` to handle minus zero also.
x.s = 1 / v < 0 ? (v = -v, -1) : 1;
// Fast path for integers, where n < 2147483648 (2**31).
if (v === ~~v) {
for (e = 0, i = v; i >= 10; i /= 10, e++);
if (e > MAX_EXP) {
x.c = x.e = null;
} else {
x.e = e;
x.c = [v];
}
return;
}
str = String(v);
} else {
if (!isNumeric.test(str = String(v))) return parseNumeric(x, str, isNum);
x.s = str.charCodeAt(0) == 45 ? (str = str.slice(1), -1) : 1;
}
// Decimal point?
if ((e = str.indexOf('.')) > -1) str = str.replace('.', '');
// Exponential form?
if ((i = str.search(/e/i)) > 0) {
// Determine exponent.
if (e < 0) e = i;
e += +str.slice(i + 1);
str = str.substring(0, i);
} else if (e < 0) {
// Integer.
e = str.length;
}
} else {
// '[BigNumber Error] Base {not a primitive number|not an integer|out of range}: {b}'
intCheck(b, 2, ALPHABET.length, 'Base');
// Allow exponential notation to be used with base 10 argument, while
// also rounding to DECIMAL_PLACES as with other bases.
if (b == 10 && alphabetHasNormalDecimalDigits) {
x = new BigNumber(v);
return round(x, DECIMAL_PLACES + x.e + 1, ROUNDING_MODE);
}
str = String(v);
if (isNum = typeof v == 'number') {
// Avoid potential interpretation of Infinity and NaN as base 44+ values.
if (v * 0 != 0) return parseNumeric(x, str, isNum, b);
x.s = 1 / v < 0 ? (str = str.slice(1), -1) : 1;
// '[BigNumber Error] Number primitive has more than 15 significant digits: {n}'
if (BigNumber.DEBUG && str.replace(/^0\.0*|\./, '').length > 15) {
throw Error
(tooManyDigits + v);
}
} else {
x.s = str.charCodeAt(0) === 45 ? (str = str.slice(1), -1) : 1;
}
alphabet = ALPHABET.slice(0, b);
e = i = 0;
// Check that str is a valid base b number.
// Don't use RegExp, so alphabet can contain special characters.
for (len = str.length; i < len; i++) {
if (alphabet.indexOf(c = str.charAt(i)) < 0) {
if (c == '.') {
// If '.' is not the first character and it has not be found before.
if (i > e) {
e = len;
continue;
}
} else if (!caseChanged) {
// Allow e.g. hexadecimal 'FF' as well as 'ff'.
if (str == str.toUpperCase() && (str = str.toLowerCase()) ||
str == str.toLowerCase() && (str = str.toUpperCase())) {
caseChanged = true;
i = -1;
e = 0;
continue;
}
}
return parseNumeric(x, String(v), isNum, b);
}
}
// Prevent later check for length on converted number.
isNum = false;
str = convertBase(str, b, 10, x.s);
// Decimal point?
if ((e = str.indexOf('.')) > -1) str = str.replace('.', '');
else e = str.length;
}
// Determine leading zeros.
for (i = 0; str.charCodeAt(i) === 48; i++);
// Determine trailing zeros.
for (len = str.length; str.charCodeAt(--len) === 48;);
if (str = str.slice(i, ++len)) {
len -= i;
// '[BigNumber Error] Number primitive has more than 15 significant digits: {n}'
if (isNum && BigNumber.DEBUG &&
len > 15 && (v > MAX_SAFE_INTEGER || v !== mathfloor(v))) {
throw Error
(tooManyDigits + (x.s * v));
}
// Overflow?
if ((e = e - i - 1) > MAX_EXP) {
// Infinity.
x.c = x.e = null;
// Underflow?
} else if (e < MIN_EXP) {
// Zero.
x.c = [x.e = 0];
} else {
x.e = e;
x.c = [];
// Transform base
// e is the base 10 exponent.
// i is where to slice str to get the first element of the coefficient array.
i = (e + 1) % LOG_BASE;
if (e < 0) i += LOG_BASE; // i < 1
if (i < len) {
if (i) x.c.push(+str.slice(0, i));
for (len -= LOG_BASE; i < len;) {
x.c.push(+str.slice(i, i += LOG_BASE));
}
i = LOG_BASE - (str = str.slice(i)).length;
} else {
i -= len;
}
for (; i--; str += '0');
x.c.push(+str);
}
} else {
// Zero.
x.c = [x.e = 0];
}
}
// CONSTRUCTOR PROPERTIES
BigNumber.clone = clone;
BigNumber.ROUND_UP = 0;
BigNumber.ROUND_DOWN = 1;
BigNumber.ROUND_CEIL = 2;
BigNumber.ROUND_FLOOR = 3;
BigNumber.ROUND_HALF_UP = 4;
BigNumber.ROUND_HALF_DOWN = 5;
BigNumber.ROUND_HALF_EVEN = 6;
BigNumber.ROUND_HALF_CEIL = 7;
BigNumber.ROUND_HALF_FLOOR = 8;
BigNumber.EUCLID = 9;
/*
* Configure infrequently-changing library-wide settings.
*
* Accept an object with the following optional properties (if the value of a property is
* a number, it must be an integer within the inclusive range stated):
*
* DECIMAL_PLACES {number} 0 to MAX
* ROUNDING_MODE {number} 0 to 8
* EXPONENTIAL_AT {number|number[]} -MAX to MAX or [-MAX to 0, 0 to MAX]
* RANGE {number|number[]} -MAX to MAX (not zero) or [-MAX to -1, 1 to MAX]
* CRYPTO {boolean} true or false
* MODULO_MODE {number} 0 to 9
* POW_PRECISION {number} 0 to MAX
* ALPHABET {string} A string of two or more unique characters which does
* not contain '.'.
* FORMAT {object} An object with some of the following properties:
* prefix {string}
* groupSize {number}
* secondaryGroupSize {number}
* groupSeparator {string}
* decimalSeparator {string}
* fractionGroupSize {number}
* fractionGroupSeparator {string}
* suffix {string}
*
* (The values assigned to the above FORMAT object properties are not checked for validity.)
*
* E.g.
* BigNumber.config({ DECIMAL_PLACES : 20, ROUNDING_MODE : 4 })
*
* Ignore properties/parameters set to null or undefined, except for ALPHABET.
*
* Return an object with the properties current values.
*/
BigNumber.config = BigNumber.set = function (obj) {
var p, v;
if (obj != null) {
if (typeof obj == 'object') {
// DECIMAL_PLACES {number} Integer, 0 to MAX inclusive.
// '[BigNumber Error] DECIMAL_PLACES {not a primitive number|not an integer|out of range}: {v}'
if (obj.hasOwnProperty(p = 'DECIMAL_PLACES')) {
v = obj[p];
intCheck(v, 0, MAX, p);
DECIMAL_PLACES = v;
}
// ROUNDING_MODE {number} Integer, 0 to 8 inclusive.
// '[BigNumber Error] ROUNDING_MODE {not a primitive number|not an integer|out of range}: {v}'
if (obj.hasOwnProperty(p = 'ROUNDING_MODE')) {
v = obj[p];
intCheck(v, 0, 8, p);
ROUNDING_MODE = v;
}
// EXPONENTIAL_AT {number|number[]}
// Integer, -MAX to MAX inclusive or
// [integer -MAX to 0 inclusive, 0 to MAX inclusive].
// '[BigNumber Error] EXPONENTIAL_AT {not a primitive number|not an integer|out of range}: {v}'
if (obj.hasOwnProperty(p = 'EXPONENTIAL_AT')) {
v = obj[p];
if (v && v.pop) {
intCheck(v[0], -MAX, 0, p);
intCheck(v[1], 0, MAX, p);
TO_EXP_NEG = v[0];
TO_EXP_POS = v[1];
} else {
intCheck(v, -MAX, MAX, p);
TO_EXP_NEG = -(TO_EXP_POS = v < 0 ? -v : v);
}
}
// RANGE {number|number[]} Non-zero integer, -MAX to MAX inclusive or
// [integer -MAX to -1 inclusive, integer 1 to MAX inclusive].
// '[BigNumber Error] RANGE {not a primitive number|not an integer|out of range|cannot be zero}: {v}'
if (obj.hasOwnProperty(p = 'RANGE')) {
v = obj[p];
if (v && v.pop) {
intCheck(v[0], -MAX, -1, p);
intCheck(v[1], 1, MAX, p);
MIN_EXP = v[0];
MAX_EXP = v[1];
} else {
intCheck(v, -MAX, MAX, p);
if (v) {
MIN_EXP = -(MAX_EXP = v < 0 ? -v : v);
} else {
throw Error
(bignumberError + p + ' cannot be zero: ' + v);
}
}
}
// CRYPTO {boolean} true or false.
// '[BigNumber Error] CRYPTO not true or false: {v}'
// '[BigNumber Error] crypto unavailable'
if (obj.hasOwnProperty(p = 'CRYPTO')) {
v = obj[p];
if (v === !!v) {
if (v) {
if (typeof crypto != 'undefined' && crypto &&
(crypto.getRandomValues || crypto.randomBytes)) {
CRYPTO = v;
} else {
CRYPTO = !v;
throw Error
(bignumberError + 'crypto unavailable');
}
} else {
CRYPTO = v;
}
} else {
throw Error
(bignumberError + p + ' not true or false: ' + v);
}
}
// MODULO_MODE {number} Integer, 0 to 9 inclusive.
// '[BigNumber Error] MODULO_MODE {not a primitive number|not an integer|out of range}: {v}'
if (obj.hasOwnProperty(p = 'MODULO_MODE')) {
v = obj[p];
intCheck(v, 0, 9, p);
MODULO_MODE = v;
}
// POW_PRECISION {number} Integer, 0 to MAX inclusive.
// '[BigNumber Error] POW_PRECISION {not a primitive number|not an integer|out of range}: {v}'
if (obj.hasOwnProperty(p = 'POW_PRECISION')) {
v = obj[p];
intCheck(v, 0, MAX, p);
POW_PRECISION = v;
}
// FORMAT {object}
// '[BigNumber Error] FORMAT not an object: {v}'
if (obj.hasOwnProperty(p = 'FORMAT')) {
v = obj[p];
if (typeof v == 'object') FORMAT = v;
else throw Error
(bignumberError + p + ' not an object: ' + v);
}
// ALPHABET {string}
// '[BigNumber Error] ALPHABET invalid: {v}'
if (obj.hasOwnProperty(p = 'ALPHABET')) {
v = obj[p];
// Disallow if less than two characters,
// or if it contains '+', '-', '.', whitespace, or a repeated character.
if (typeof v == 'string' && !/^.?$|[+\-.\s]|(.).*\1/.test(v)) {
alphabetHasNormalDecimalDigits = v.slice(0, 10) == '0123456789';
ALPHABET = v;
} else {
throw Error
(bignumberError + p + ' invalid: ' + v);
}
}
} else {
// '[BigNumber Error] Object expected: {v}'
throw Error
(bignumberError + 'Object expected: ' + obj);
}
}
return {
DECIMAL_PLACES: DECIMAL_PLACES,
ROUNDING_MODE: ROUNDING_MODE,
EXPONENTIAL_AT: [TO_EXP_NEG, TO_EXP_POS],
RANGE: [MIN_EXP, MAX_EXP],
CRYPTO: CRYPTO,
MODULO_MODE: MODULO_MODE,
POW_PRECISION: POW_PRECISION,
FORMAT: FORMAT,
ALPHABET: ALPHABET
};
};
/*
* Return true if v is a BigNumber instance, otherwise return false.
*
* If BigNumber.DEBUG is true, throw if a BigNumber instance is not well-formed.
*
* v {any}
*
* '[BigNumber Error] Invalid BigNumber: {v}'
*/
BigNumber.isBigNumber = function (v) {
if (!v || v._isBigNumber !== true) return false;
if (!BigNumber.DEBUG) return true;
var i, n,
c = v.c,
e = v.e,
s = v.s;
out: if ({}.toString.call(c) == '[object Array]') {
if ((s === 1 || s === -1) && e >= -MAX && e <= MAX && e === mathfloor(e)) {
// If the first element is zero, the BigNumber value must be zero.
if (c[0] === 0) {
if (e === 0 && c.length === 1) return true;
break out;
}
// Calculate number of digits that c[0] should have, based on the exponent.
i = (e + 1) % LOG_BASE;
if (i < 1) i += LOG_BASE;
// Calculate number of digits of c[0].
//if (Math.ceil(Math.log(c[0] + 1) / Math.LN10) == i) {
if (String(c[0]).length == i) {
for (i = 0; i < c.length; i++) {
n = c[i];
if (n < 0 || n >= BASE || n !== mathfloor(n)) break out;
}
// Last element cannot be zero, unless it is the only element.
if (n !== 0) return true;
}
}
// Infinity/NaN
} else if (c === null && e === null && (s === null || s === 1 || s === -1)) {
return true;
}
throw Error
(bignumberError + 'Invalid BigNumber: ' + v);
};
/*
* Return a new BigNumber whose value is the maximum of the arguments.
*
* arguments {number|string|BigNumber}
*/
BigNumber.maximum = BigNumber.max = function () {
return maxOrMin(arguments, -1);
};
/*
* Return a new BigNumber whose value is the minimum of the arguments.
*
* arguments {number|string|BigNumber}
*/
BigNumber.minimum = BigNumber.min = function () {
return maxOrMin(arguments, 1);
};
/*
* Return a new BigNumber with a random value equal to or greater than 0 and less than 1,
* and with dp, or DECIMAL_PLACES if dp is omitted, decimal places (or less if trailing
* zeros are produced).
*
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
*
* '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {dp}'
* '[BigNumber Error] crypto unavailable'
*/
BigNumber.random = (function () {
var pow2_53 = 0x20000000000000;
// Return a 53 bit integer n, where 0 <= n < 9007199254740992.
// Check if Math.random() produces more than 32 bits of randomness.
// If it does, assume at least 53 bits are produced, otherwise assume at least 30 bits.
// 0x40000000 is 2^30, 0x800000 is 2^23, 0x1fffff is 2^21 - 1.
var random53bitInt = (Math.random() * pow2_53) & 0x1fffff
? function () { return mathfloor(Math.random() * pow2_53); }
: function () { return ((Math.random() * 0x40000000 | 0) * 0x800000) +
(Math.random() * 0x800000 | 0); };
return function (dp) {
var a, b, e, k, v,
i = 0,
c = [],
rand = new BigNumber(ONE);
if (dp == null) dp = DECIMAL_PLACES;
else intCheck(dp, 0, MAX);
k = mathceil(dp / LOG_BASE);
if (CRYPTO) {
// Browsers supporting crypto.getRandomValues.
if (crypto.getRandomValues) {
a = crypto.getRandomValues(new Uint32Array(k *= 2));
for (; i < k;) {
// 53 bits:
// ((Math.pow(2, 32) - 1) * Math.pow(2, 21)).toString(2)
// 11111 11111111 11111111 11111111 11100000 00000000 00000000
// ((Math.pow(2, 32) - 1) >>> 11).toString(2)
// 11111 11111111 11111111
// 0x20000 is 2^21.
v = a[i] * 0x20000 + (a[i + 1] >>> 11);
// Rejection sampling:
// 0 <= v < 9007199254740992
// Probability that v >= 9e15, is
// 7199254740992 / 9007199254740992 ~= 0.0008, i.e. 1 in 1251
if (v >= 9e15) {
b = crypto.getRandomValues(new Uint32Array(2));
a[i] = b[0];
a[i + 1] = b[1];
} else {
// 0 <= v <= 8999999999999999
// 0 <= (v % 1e14) <= 99999999999999
c.push(v % 1e14);
i += 2;
}
}
i = k / 2;
// Node.js supporting crypto.randomBytes.
} else if (crypto.randomBytes) {
// buffer
a = crypto.randomBytes(k *= 7);
for (; i < k;) {
// 0x1000000000000 is 2^48, 0x10000000000 is 2^40
// 0x100000000 is 2^32, 0x1000000 is 2^24
// 11111 11111111 11111111 11111111 11111111 11111111 11111111
// 0 <= v < 9007199254740992
v = ((a[i] & 31) * 0x1000000000000) + (a[i + 1] * 0x10000000000) +
(a[i + 2] * 0x100000000) + (a[i + 3] * 0x1000000) +
(a[i + 4] << 16) + (a[i + 5] << 8) + a[i + 6];
if (v >= 9e15) {
crypto.randomBytes(7).copy(a, i);
} else {
// 0 <= (v % 1e14) <= 99999999999999
c.push(v % 1e14);
i += 7;
}
}
i = k / 7;
} else {
CRYPTO = false;
throw Error
(bignumberError + 'crypto unavailable');
}
}
// Use Math.random.
if (!CRYPTO) {
for (; i < k;) {
v = random53bitInt();
if (v < 9e15) c[i++] = v % 1e14;
}
}
k = c[--i];
dp %= LOG_BASE;
// Convert trailing digits to zeros according to dp.
if (k && dp) {
v = POWS_TEN[LOG_BASE - dp];
c[i] = mathfloor(k / v) * v;
}
// Remove trailing elements which are zero.
for (; c[i] === 0; c.pop(), i--);
// Zero?
if (i < 0) {
c = [e = 0];
} else {
// Remove leading elements which are zero and adjust exponent accordingly.
for (e = -1 ; c[0] === 0; c.splice(0, 1), e -= LOG_BASE);
// Count the digits of the first element of c to determine leading zeros, and...
for (i = 1, v = c[0]; v >= 10; v /= 10, i++);
// adjust the exponent accordingly.
if (i < LOG_BASE) e -= LOG_BASE - i;
}
rand.e = e;
rand.c = c;
return rand;
};
})();
/*
* Return a BigNumber whose value is the sum of the arguments.
*
* arguments {number|string|BigNumber}
*/
BigNumber.sum = function () {
var i = 1,
args = arguments,
sum = new BigNumber(args[0]);
for (; i < args.length;) sum = sum.plus(args[i++]);
return sum;
};
// PRIVATE FUNCTIONS
// Called by BigNumber and BigNumber.prototype.toString.
convertBase = (function () {
var decimal = '0123456789';
/*
* Convert string of baseIn to an array of numbers of baseOut.
* Eg. toBaseOut('255', 10, 16) returns [15, 15].
* Eg. toBaseOut('ff', 16, 10) returns [2, 5, 5].
*/
function toBaseOut(str, baseIn, baseOut, alphabet) {
var j,
arr = [0],
arrL,
i = 0,
len = str.length;
for (; i < len;) {
for (arrL = arr.length; arrL--; arr[arrL] *= baseIn);
arr[0] += alphabet.indexOf(str.charAt(i++));
for (j = 0; j < arr.length; j++) {
if (arr[j] > baseOut - 1) {
if (arr[j + 1] == null) arr[j + 1] = 0;
arr[j + 1] += arr[j] / baseOut | 0;
arr[j] %= baseOut;
}
}
}
return arr.reverse();
}
// Convert a numeric string of baseIn to a numeric string of baseOut.
// If the caller is toString, we are converting from base 10 to baseOut.
// If the caller is BigNumber, we are converting from baseIn to base 10.
return function (str, baseIn, baseOut, sign, callerIsToString) {
var alphabet, d, e, k, r, x, xc, y,
i = str.indexOf('.'),
dp = DECIMAL_PLACES,
rm = ROUNDING_MODE;
// Non-integer.
if (i >= 0) {
k = POW_PRECISION;
// Unlimited precision.
POW_PRECISION = 0;
str = str.replace('.', '');
y = new BigNumber(baseIn);
x = y.pow(str.length - i);
POW_PRECISION = k;
// Convert str as if an integer, then restore the fraction part by dividing the
// result by its base raised to a power.
y.c = toBaseOut(toFixedPoint(coeffToString(x.c), x.e, '0'),
10, baseOut, decimal);
y.e = y.c.length;
}
// Convert the number as integer.
xc = toBaseOut(str, baseIn, baseOut, callerIsToString
? (alphabet = ALPHABET, decimal)
: (alphabet = decimal, ALPHABET));
// xc now represents str as an integer and converted to baseOut. e is the exponent.
e = k = xc.length;
// Remove trailing zeros.
for (; xc[--k] == 0; xc.pop());
// Zero?
if (!xc[0]) return alphabet.charAt(0);
// Does str represent an integer? If so, no need for the division.
if (i < 0) {
--e;
} else {
x.c = xc;
x.e = e;
// The sign is needed for correct rounding.
x.s = sign;
x = div(x, y, dp, rm, baseOut);
xc = x.c;
r = x.r;
e = x.e;
}
// xc now represents str converted to baseOut.
// The index of the rounding digit.
d = e + dp + 1;
// The rounding digit: the digit to the right of the digit that may be rounded up.
i = xc[d];
// Look at the rounding digits and mode to determine whether to round up.
k = baseOut / 2;
r = r || d < 0 || xc[d + 1] != null;
r = rm < 4 ? (i != null || r) && (rm == 0 || rm == (x.s < 0 ? 3 : 2))
: i > k || i == k &&(rm == 4 || r || rm == 6 && xc[d - 1] & 1 ||
rm == (x.s < 0 ? 8 : 7));
// If the index of the rounding digit is not greater than zero, or xc represents
// zero, then the result of the base conversion is zero or, if rounding up, a value
// such as 0.00001.
if (d < 1 || !xc[0]) {
// 1^-dp or 0
str = r ? toFixedPoint(alphabet.charAt(1), -dp, alphabet.charAt(0)) : alphabet.charAt(0);
} else {
// Truncate xc to the required number of decimal places.
xc.length = d;
// Round up?
if (r) {
// Rounding up may mean the previous digit has to be rounded up and so on.
for (--baseOut; ++xc[--d] > baseOut;) {
xc[d] = 0;
if (!d) {
++e;
xc = [1].concat(xc);
}
}
}
// Determine trailing zeros.
for (k = xc.length; !xc[--k];);
// E.g. [4, 11, 15] becomes 4bf.
for (i = 0, str = ''; i <= k; str += alphabet.charAt(xc[i++]));
// Add leading zeros, decimal point and trailing zeros as required.
str = toFixedPoint(str, e, alphabet.charAt(0));
}
// The caller will add the sign.
return str;
};
})();
// Perform division in the specified base. Called by div and convertBase.
div = (function () {
// Assume non-zero x and k.
function multiply(x, k, base) {
var m, temp, xlo, xhi,
carry = 0,
i = x.length,
klo = k % SQRT_BASE,
khi = k / SQRT_BASE | 0;
for (x = x.slice(); i--;) {
xlo = x[i] % SQRT_BASE;
xhi = x[i] / SQRT_BASE | 0;
m = khi * xlo + xhi * klo;
temp = klo * xlo + ((m % SQRT_BASE) * SQRT_BASE) + carry;
carry = (temp / base | 0) + (m / SQRT_BASE | 0) + khi * xhi;
x[i] = temp % base;
}
if (carry) x = [carry].concat(x);
return x;
}
function compare(a, b, aL, bL) {
var i, cmp;
if (aL != bL) {
cmp = aL > bL ? 1 : -1;
} else {
for (i = cmp = 0; i < aL; i++) {
if (a[i] != b[i]) {
cmp = a[i] > b[i] ? 1 : -1;
break;
}
}
}
return cmp;
}
function subtract(a, b, aL, base) {
var i = 0;
// Subtract b from a.
for (; aL--;) {
a[aL] -= i;
i = a[aL] < b[aL] ? 1 : 0;
a[aL] = i * base + a[aL] - b[aL];
}
// Remove leading zeros.
for (; !a[0] && a.length > 1; a.splice(0, 1));
}
// x: dividend, y: divisor.
return function (x, y, dp, rm, base) {
var cmp, e, i, more, n, prod, prodL, q, qc, rem, remL, rem0, xi, xL, yc0,
yL, yz,
s = x.s == y.s ? 1 : -1,
xc = x.c,
yc = y.c;
// Either NaN, Infinity or 0?
if (!xc || !xc[0] || !yc || !yc[0]) {
return new BigNumber(
// Return NaN if either NaN, or both Infinity or 0.
!x.s || !y.s || (xc ? yc && xc[0] == yc[0] : !yc) ? NaN :
// Return ±0 if x is ±0 or y is ±Infinity, or return ±Infinity as y is ±0.
xc && xc[0] == 0 || !yc ? s * 0 : s / 0
);
}
q = new BigNumber(s);
qc = q.c = [];
e = x.e - y.e;
s = dp + e + 1;
if (!base) {
base = BASE;
e = bitFloor(x.e / LOG_BASE) - bitFloor(y.e / LOG_BASE);
s = s / LOG_BASE | 0;
}
// Result exponent may be one less then the current value of e.
// The coefficients of the BigNumbers from convertBase may have trailing zeros.
for (i = 0; yc[i] == (xc[i] || 0); i++);
if (yc[i] > (xc[i] || 0)) e--;
if (s < 0) {
qc.push(1);
more = true;
} else {
xL = xc.length;
yL = yc.length;
i = 0;
s += 2;
// Normalise xc and yc so highest order digit of yc is >= base / 2.
n = mathfloor(base / (yc[0] + 1));
// Not necessary, but to handle odd bases where yc[0] == (base / 2) - 1.
// if (n > 1 || n++ == 1 && yc[0] < base / 2) {
if (n > 1) {
yc = multiply(yc, n, base);
xc = multiply(xc, n, base);
yL = yc.length;
xL = xc.length;
}
xi = yL;
rem = xc.slice(0, yL);
remL = rem.length;
// Add zeros to make remainder as long as divisor.
for (; remL < yL; rem[remL++] = 0);
yz = yc.slice();
yz = [0].concat(yz);
yc0 = yc[0];
if (yc[1] >= base / 2) yc0++;
// Not necessary, but to prevent trial digit n > base, when using base 3.
// else if (base == 3 && yc0 == 1) yc0 = 1 + 1e-15;
do {
n = 0;
// Compare divisor and remainder.
cmp = compare(yc, rem, yL, remL);
// If divisor < remainder.
if (cmp < 0) {
// Calculate trial digit, n.
rem0 = rem[0];
if (yL != remL) rem0 = rem0 * base + (rem[1] || 0);
// n is how many times the divisor goes into the current remainder.
n = mathfloor(rem0 / yc0);
// Algorithm:
// product = divisor multiplied by trial digit (n).
// Compare product and remainder.
// If product is greater than remainder:
// Subtract divisor from product, decrement trial digit.
// Subtract product from remainder.
// If product was less than remainder at the last compare:
// Compare new remainder and divisor.
// If remainder is greater than divisor:
// Subtract divisor from remainder, increment trial digit.
if (n > 1) {
// n may be > base only when base is 3.
if (n >= base) n = base - 1;
// product = divisor * trial digit.
prod = multiply(yc, n, base);
prodL = prod.length;
remL = rem.length;
// Compare product and remainder.
// If product > remainder then trial digit n too high.
// n is 1 too high about 5% of the time, and is not known to have
// ever been more than 1 too high.
while (compare(prod, rem, prodL, remL) == 1) {
n--;
// Subtract divisor from product.
subtract(prod, yL < prodL ? yz : yc, prodL, base);
prodL = prod.length;
cmp = 1;
}
} else {
// n is 0 or 1, cmp is -1.
// If n is 0, there is no need to compare yc and rem again below,
// so change cmp to 1 to avoid it.
// If n is 1, leave cmp as -1, so yc and rem are compared again.
if (n == 0) {
// divisor < remainder, so n must be at least 1.
cmp = n = 1;
}
// product = divisor
prod = yc.slice();
prodL = prod.length;
}
if (prodL < remL) prod = [0].concat(prod);
// Subtract product from remainder.
subtract(rem, prod, remL, base);
remL = rem.length;
// If product was < remainder.
if (cmp == -1) {
// Compare divisor and new remainder.
// If divisor < new remainder, subtract divisor from remainder.
// Trial digit n too low.
// n is 1 too low about 5% of the time, and very rarely 2 too low.
while (compare(yc, rem, yL, remL) < 1) {
n++;
// Subtract divisor from remainder.
subtract(rem, yL < remL ? yz : yc, remL, base);
remL = rem.length;
}
}
} else if (cmp === 0) {
n++;
rem = [0];
} // else cmp === 1 and n will be 0
// Add the next digit, n, to the result array.
qc[i++] = n;
// Update the remainder.
if (rem[0]) {
rem[remL++] = xc[xi] || 0;
} else {
rem = [xc[xi]];
remL = 1;
}
} while ((xi++ < xL || rem[0] != null) && s--);
more = rem[0] != null;
// Leading zero?
if (!qc[0]) qc.splice(0, 1);
}
if (base == BASE) {
// To calculate q.e, first get the number of digits of qc[0].
for (i = 1, s = qc[0]; s >= 10; s /= 10, i++);
round(q, dp + (q.e = i + e * LOG_BASE - 1) + 1, rm, more);
// Caller is convertBase.
} else {
q.e = e;
q.r = +more;
}
return q;
};
})();
/*
* Return a string representing the value of BigNumber n in fixed-point or exponential
* notation rounded to the specified decimal places or significant digits.
*
* n: a BigNumber.
* i: the index of the last digit required (i.e. the digit that may be rounded up).
* rm: the rounding mode.
* id: 1 (toExponential) or 2 (toPrecision).
*/
function format(n, i, rm, id) {
var c0, e, ne, len, str;
if (rm == null) rm = ROUNDING_MODE;
else intCheck(rm, 0, 8);
if (!n.c) return n.toString();
c0 = n.c[0];
ne = n.e;
if (i == null) {
str = coeffToString(n.c);
str = id == 1 || id == 2 && (ne <= TO_EXP_NEG || ne >= TO_EXP_POS)
? toExponential(str, ne)
: toFixedPoint(str, ne, '0');
}