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// Type definitions for bignumber.js >=8.0.0
// Project: https://github.com/MikeMcl/bignumber.js
// Definitions by: Michael Mclaughlin <https://github.com/MikeMcl>
// Definitions: https://github.com/MikeMcl/bignumber.js
// Documentation: http://mikemcl.github.io/bignumber.js/
//
// Exports:
//
// class BigNumber (default export)
// type BigNumber.Constructor
// type BigNumber.Instance
// type BigNumber.ModuloMode
// type BigNumber.RoundingMOde
// type BigNumber.Value
// interface BigNumber.Config
// interface BigNumber.Format
//
// Example (alternative syntax commented-out):
//
// import {BigNumber} from "bignumber.js"
// //import BigNumber from "bignumber.js"
//
// let rm: BigNumber.RoundingMode = BigNumber.ROUND_UP;
// let f: BigNumber.Format = { decimalSeparator: ',' };
// let c: BigNumber.Config = { DECIMAL_PLACES: 4, ROUNDING_MODE: rm, FORMAT: f };
// BigNumber.config(c);
//
// let v: BigNumber.Value = '12345.6789';
// let b: BigNumber = new BigNumber(v);
// //let b: BigNumber.Instance = new BigNumber(v);
//
// The use of compiler option `--strictNullChecks` is recommended.
export default BigNumber;
export namespace BigNumber {
/**
* See `BigNumber.config` and `BigNumber.clone`.
*/
export interface Config {
/**
* An integer, 0 to 1e+9. Default value: 20.
*
* The maximum number of decimal places of the result of operations involving division, i.e.
* division, square root and base conversion operations, and exponentiation when the exponent is
* negative.
*
* ```ts
* BigNumber.config({ DECIMAL_PLACES: 5 })
* BigNumber.set({ DECIMAL_PLACES: 5 })
* ```
*/
DECIMAL_PLACES?: number;
/**
* An integer, 0 to 8. Default value: `BigNumber.ROUND_HALF_UP` (4).
*
* The rounding mode used in operations that involve division (see `DECIMAL_PLACES`) and the
* default rounding mode of the `decimalPlaces`, `precision`, `toExponential`, `toFixed`,
* `toFormat` and `toPrecision` methods.
*
* The modes are available as enumerated properties of the BigNumber constructor.
*
* ```ts
* BigNumber.config({ ROUNDING_MODE: 0 })
* BigNumber.set({ ROUNDING_MODE: BigNumber.ROUND_UP })
* ```
*/
ROUNDING_MODE?: BigNumber.RoundingMode;
/**
* An integer, 0 to 1e+9, or an array, [-1e+9 to 0, 0 to 1e+9].
* Default value: `[-7, 20]`.
*
* The exponent value(s) at which `toString` returns exponential notation.
*
* If a single number is assigned, the value is the exponent magnitude.
*
* If an array of two numbers is assigned then the first number is the negative exponent value at
* and beneath which exponential notation is used, and the second number is the positive exponent
* value at and above which exponential notation is used.
*
* For example, to emulate JavaScript numbers in terms of the exponent values at which they begin
* to use exponential notation, use `[-7, 20]`.
*
* ```ts
* BigNumber.config({ EXPONENTIAL_AT: 2 })
* new BigNumber(12.3) // '12.3' e is only 1
* new BigNumber(123) // '1.23e+2'
* new BigNumber(0.123) // '0.123' e is only -1
* new BigNumber(0.0123) // '1.23e-2'
*
* BigNumber.config({ EXPONENTIAL_AT: [-7, 20] })
* new BigNumber(123456789) // '123456789' e is only 8
* new BigNumber(0.000000123) // '1.23e-7'
*
* // Almost never return exponential notation:
* BigNumber.config({ EXPONENTIAL_AT: 1e+9 })
*
* // Always return exponential notation:
* BigNumber.config({ EXPONENTIAL_AT: 0 })
* ```
*
* Regardless of the value of `EXPONENTIAL_AT`, the `toFixed` method will always return a value in
* normal notation and the `toExponential` method will always return a value in exponential form.
* Calling `toString` with a base argument, e.g. `toString(10)`, will also always return normal
* notation.
*/
EXPONENTIAL_AT?: number|[number, number];
/**
* An integer, magnitude 1 to 1e+9, or an array, [-1e+9 to -1, 1 to 1e+9].
* Default value: `[-1e+9, 1e+9]`.
*
* The exponent value(s) beyond which overflow to Infinity and underflow to zero occurs.
*
* If a single number is assigned, it is the maximum exponent magnitude: values wth a positive
* exponent of greater magnitude become Infinity and those with a negative exponent of greater
* magnitude become zero.
*
* If an array of two numbers is assigned then the first number is the negative exponent limit and
* the second number is the positive exponent limit.
*
* For example, to emulate JavaScript numbers in terms of the exponent values at which they
* become zero and Infinity, use [-324, 308].
*
* ```ts
* BigNumber.config({ RANGE: 500 })
* BigNumber.config().RANGE // [ -500, 500 ]
* new BigNumber('9.999e499') // '9.999e+499'
* new BigNumber('1e500') // 'Infinity'
* new BigNumber('1e-499') // '1e-499'
* new BigNumber('1e-500') // '0'
*
* BigNumber.config({ RANGE: [-3, 4] })
* new BigNumber(99999) // '99999' e is only 4
* new BigNumber(100000) // 'Infinity' e is 5
* new BigNumber(0.001) // '0.01' e is only -3
* new BigNumber(0.0001) // '0' e is -4
* ```
* The largest possible magnitude of a finite BigNumber is 9.999...e+1000000000.
* The smallest possible magnitude of a non-zero BigNumber is 1e-1000000000.
*/
RANGE?: number|[number, number];
/**
* A boolean: `true` or `false`. Default value: `false`.
*
* The value that determines whether cryptographically-secure pseudo-random number generation is
* used. If `CRYPTO` is set to true then the random method will generate random digits using
* `crypto.getRandomValues` in browsers that support it, or `crypto.randomBytes` if using a
* version of Node.js that supports it.
*
* If neither function is supported by the host environment then attempting to set `CRYPTO` to
* `true` will fail and an exception will be thrown.
*
* If `CRYPTO` is `false` then the source of randomness used will be `Math.random` (which is
* assumed to generate at least 30 bits of randomness).
*
* See `BigNumber.random`.
*
* ```ts
* // Node.js
* global.crypto = require('crypto')
*
* BigNumber.config({ CRYPTO: true })
* BigNumber.config().CRYPTO // true
* BigNumber.random() // 0.54340758610486147524
* ```
*/
CRYPTO?: boolean;
/**
* An integer, 0, 1, 3, 6 or 9. Default value: `BigNumber.ROUND_DOWN` (1).
*
* The modulo mode used when calculating the modulus: `a mod n`.
* The quotient, `q = a / n`, is calculated according to the `ROUNDING_MODE` that corresponds to
* the chosen `MODULO_MODE`.
* The remainder, `r`, is calculated as: `r = a - n * q`.
*
* The modes that are most commonly used for the modulus/remainder operation are shown in the
* following table. Although the other rounding modes can be used, they may not give useful
* results.
*
* Property | Value | Description
* :------------------|:------|:------------------------------------------------------------------
* `ROUND_UP` | 0 | The remainder is positive if the dividend is negative.
* `ROUND_DOWN` | 1 | The remainder has the same sign as the dividend.
* | | Uses 'truncating division' and matches JavaScript's `%` operator .
* `ROUND_FLOOR` | 3 | The remainder has the same sign as the divisor.
* | | This matches Python's `%` operator.
* `ROUND_HALF_EVEN` | 6 | The IEEE 754 remainder function.
* `EUCLID` | 9 | The remainder is always positive.
* | | Euclidian division: `q = sign(n) * floor(a / abs(n))`
*
* The rounding/modulo modes are available as enumerated properties of the BigNumber constructor.
*
* See `modulo`.
*
* ```ts
* BigNumber.config({ MODULO_MODE: BigNumber.EUCLID })
* BigNumber.set({ MODULO_MODE: 9 }) // equivalent
* ```
*/
MODULO_MODE?: BigNumber.ModuloMode;
/**
* An integer, 0 to 1e+9. Default value: 0.
*
* The maximum precision, i.e. number of significant digits, of the result of the power operation
* - unless a modulus is specified.
*
* If set to 0, the number of significant digits will not be limited.
*
* See `exponentiatedBy`.
*
* ```ts
* BigNumber.config({ POW_PRECISION: 100 })
* ```
*/
POW_PRECISION?: number;
/**
* An object including any number of the properties shown below.
*
* The object configures the format of the string returned by the `toFormat` method.
* The example below shows the properties of the object that are recognised, and
* their default values.
*
* Unlike the other configuration properties, the values of the properties of the `FORMAT` object
* will not be checked for validity - the existing object will simply be replaced by the object
* that is passed in.
*
* See `toFormat`.
*
* ```ts
* BigNumber.config({
* FORMAT: {
* // string to prepend
* prefix: '',
* // the decimal separator
* decimalSeparator: '.',
* // the grouping separator of the integer part
* groupSeparator: ',',
* // the primary grouping size of the integer part
* groupSize: 3,
* // the secondary grouping size of the integer part
* secondaryGroupSize: 0,
* // the grouping separator of the fraction part
* fractionGroupSeparator: ' ',
* // the grouping size of the fraction part
* fractionGroupSize: 0,
* // string to append
* suffix: ''
* }
* })
* ```
*/
FORMAT?: BigNumber.Format;
/**
* The alphabet used for base conversion. The length of the alphabet corresponds to the maximum
* value of the base argument that can be passed to the BigNumber constructor or `toString`.
*
* Default value: `'0123456789abcdefghijklmnopqrstuvwxyz'`.
*
* There is no maximum length for the alphabet, but it must be at least 2 characters long,
* and it must not contain whitespace or a repeated character, or the sign indicators '+' and
* '-', or the decimal separator '.'.
*
* ```ts
* // duodecimal (base 12)
* BigNumber.config({ ALPHABET: '0123456789TE' })
* x = new BigNumber('T', 12)
* x.toString() // '10'
* x.toString(12) // 'T'
* ```
*/
ALPHABET?: string;
}
export type Constructor = typeof BigNumber;
/**
* See `FORMAT` and `toFormat`.
*/
export interface Format {
/**
* The string to prepend.
*/
prefix?: string;
/**
* The decimal separator.
*/
decimalSeparator?: string;
/**
* The grouping separator of the integer part.
*/
groupSeparator?: string;
/**
* The primary grouping size of the integer part.
*/
groupSize?: number;
/**
* The secondary grouping size of the integer part.
*/
secondaryGroupSize?: number;
/**
* The grouping separator of the fraction part.
*/
fractionGroupSeparator?: string;
/**
* The grouping size of the fraction part.
*/
fractionGroupSize?: number;
/**
* The string to append.
*/
suffix?: string;
}
export type Instance = BigNumber;
export type ModuloMode = 0 | 1 | 3 | 6 | 9;
export type RoundingMode = 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8;
export type Value = string | number | BigNumber;
}
export declare class BigNumber {
/**
* Used internally by the `BigNumber.isBigNumber` method.
*/
private readonly _isBigNumber: true;
/**
* The coefficient of the value of this BigNumber, an array of base 1e14 integer numbers.
*/
readonly c: number[];
/**
* The exponent of the value of this BigNumber, an integer number, -1000000000 to 1000000000.
*/
readonly e: number;
/**
* The sign of the value of this BigNumber, -1 or 1.
*/
readonly s: number;
/**
* Returns a new instance of a BigNumber object with value `n`, where `n` is a numeric value in
* the specified `base`, or base 10 if `base` is omitted or is `null` or `undefined`.
*
* ```ts
* x = new BigNumber(123.4567) // '123.4567'
* // 'new' is optional
* y = BigNumber(x) // '123.4567'
* ```
*
* If `n` is a base 10 value it can be in normal (fixed-point) or exponential notation.
* Values in other bases must be in normal notation. Values in any base can have fraction digits,
* i.e. digits after the decimal point.
*
* ```ts
* new BigNumber(43210) // '43210'
* new BigNumber('4.321e+4') // '43210'
* new BigNumber('-735.0918e-430') // '-7.350918e-428'
* new BigNumber('123412421.234324', 5) // '607236.557696'
* ```
*
* Signed `0`, signed `Infinity` and `NaN` are supported.
*
* ```ts
* new BigNumber('-Infinity') // '-Infinity'
* new BigNumber(NaN) // 'NaN'
* new BigNumber(-0) // '0'
* new BigNumber('.5') // '0.5'
* new BigNumber('+2') // '2'
* ```
*
* String values in hexadecimal literal form, e.g. `'0xff'`, are valid, as are string values with
* the octal and binary prefixs `'0o'` and `'0b'`. String values in octal literal form without the
* prefix will be interpreted as decimals, e.g. `'011'` is interpreted as 11, not 9.
*
* ```ts
* new BigNumber(-10110100.1, 2) // '-180.5'
* new BigNumber('-0b10110100.1') // '-180.5'
* new BigNumber('ff.8', 16) // '255.5'
* new BigNumber('0xff.8') // '255.5'
* ```
*
* If a base is specified, `n` is rounded according to the current `DECIMAL_PLACES` and
* `ROUNDING_MODE` settings. This includes base 10, so don't include a `base` parameter for decimal
* values unless this behaviour is desired.
*
* ```ts
* BigNumber.config({ DECIMAL_PLACES: 5 })
* new BigNumber(1.23456789) // '1.23456789'
* new BigNumber(1.23456789, 10) // '1.23457'
* ```
*
* An error is thrown if `base` is invalid.
*
* There is no limit to the number of digits of a value of type string (other than that of
* JavaScript's maximum array size). See `RANGE` to set the maximum and minimum possible exponent
* value of a BigNumber.
*
* ```ts
* new BigNumber('5032485723458348569331745.33434346346912144534543')
* new BigNumber('4.321e10000000')
* ```
*
* BigNumber `NaN` is returned if `n` is invalid (unless `BigNumber.DEBUG` is `true`, see below).
*
* ```ts
* new BigNumber('.1*') // 'NaN'
* new BigNumber('blurgh') // 'NaN'
* new BigNumber(9, 2) // 'NaN'
* ```
*
* To aid in debugging, if `BigNumber.DEBUG` is `true` then an error will be thrown on an
* invalid `n`. An error will also be thrown if `n` is of type number with more than 15
* significant digits, as calling `toString` or `valueOf` on these numbers may not result in the
* intended value.
*
* ```ts
* console.log(823456789123456.3) // 823456789123456.2
* new BigNumber(823456789123456.3) // '823456789123456.2'
* BigNumber.DEBUG = true
* // 'Error: Number has more than 15 significant digits'
* new BigNumber(823456789123456.3)
* // 'Error: Not a base 2 number'
* new BigNumber(9, 2)
* ```
*
* @param n A numeric value.
* @param base The base of `n`, integer, 2 to 36 (or `ALPHABET.length`, see `ALPHABET`).
*/
constructor(n: BigNumber.Value, base?: number);
/**
* Returns a BigNumber whose value is the absolute value, i.e. the magnitude, of the value of this
* BigNumber.
*
* The return value is always exact and unrounded.
*
* ```ts
* x = new BigNumber(-0.8)
* x.absoluteValue() // '0.8'
* ```
*/
absoluteValue(): BigNumber;
/**
* Returns a BigNumber whose value is the absolute value, i.e. the magnitude, of the value of this
* BigNumber.
*
* The return value is always exact and unrounded.
*
* ```ts
* x = new BigNumber(-0.8)
* x.abs() // '0.8'
* ```
*/
abs(): BigNumber;
/**
* Returns | |
* :-------:|:--------------------------------------------------------------|
* 1 | If the value of this BigNumber is greater than the value of `n`
* -1 | If the value of this BigNumber is less than the value of `n`
* 0 | If this BigNumber and `n` have the same value
* `null` | If the value of either this BigNumber or `n` is `NaN`
*
* ```ts
*
* x = new BigNumber(Infinity)
* y = new BigNumber(5)
* x.comparedTo(y) // 1
* x.comparedTo(x.minus(1)) // 0
* y.comparedTo(NaN) // null
* y.comparedTo('110', 2) // -1
* ```
* @param n A numeric value.
* @param [base] The base of n.
*/
comparedTo(n: BigNumber.Value, base?: number): number;
/**
* Returns a BigNumber whose value is the value of this BigNumber rounded by rounding mode
* `roundingMode` to a maximum of `decimalPlaces` decimal places.
*
* If `decimalPlaces` is omitted, or is `null` or `undefined`, the return value is the number of
* decimal places of the value of this BigNumber, or `null` if the value of this BigNumber is
* ±`Infinity` or `NaN`.
*
* If `roundingMode` is omitted, or is `null` or `undefined`, `ROUNDING_MODE` is used.
*
* Throws if `decimalPlaces` or `roundingMode` is invalid.
*
* ```ts
* x = new BigNumber(1234.56)
* x.decimalPlaces() // 2
* x.decimalPlaces(1) // '1234.6'
* x.decimalPlaces(2) // '1234.56'
* x.decimalPlaces(10) // '1234.56'
* x.decimalPlaces(0, 1) // '1234'
* x.decimalPlaces(0, 6) // '1235'
* x.decimalPlaces(1, 1) // '1234.5'
* x.decimalPlaces(1, BigNumber.ROUND_HALF_EVEN) // '1234.6'
* x // '1234.56'
* y = new BigNumber('9.9e-101')
* y.decimalPlaces() // 102
* ```
*
* @param [decimalPlaces] Decimal places, integer, 0 to 1e+9.
* @param [roundingMode] Rounding mode, integer, 0 to 8.
*/
decimalPlaces(): number;
decimalPlaces(decimalPlaces: number, roundingMode?: BigNumber.RoundingMode): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber rounded by rounding mode
* `roundingMode` to a maximum of `decimalPlaces` decimal places.
*
* If `decimalPlaces` is omitted, or is `null` or `undefined`, the return value is the number of
* decimal places of the value of this BigNumber, or `null` if the value of this BigNumber is
* ±`Infinity` or `NaN`.
*
* If `roundingMode` is omitted, or is `null` or `undefined`, `ROUNDING_MODE` is used.
*
* Throws if `decimalPlaces` or `roundingMode` is invalid.
*
* ```ts
* x = new BigNumber(1234.56)
* x.dp() // 2
* x.dp(1) // '1234.6'
* x.dp(2) // '1234.56'
* x.dp(10) // '1234.56'
* x.dp(0, 1) // '1234'
* x.dp(0, 6) // '1235'
* x.dp(1, 1) // '1234.5'
* x.dp(1, BigNumber.ROUND_HALF_EVEN) // '1234.6'
* x // '1234.56'
* y = new BigNumber('9.9e-101')
* y.dp() // 102
* ```
*
* @param [decimalPlaces] Decimal places, integer, 0 to 1e+9.
* @param [roundingMode] Rounding mode, integer, 0 to 8.
*/
dp(): number;
dp(decimalPlaces: number, roundingMode?: BigNumber.RoundingMode): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber divided by `n`, rounded
* according to the current `DECIMAL_PLACES` and `ROUNDING_MODE` settings.
*
* ```ts
* x = new BigNumber(355)
* y = new BigNumber(113)
* x.dividedBy(y) // '3.14159292035398230088'
* x.dividedBy(5) // '71'
* x.dividedBy(47, 16) // '5'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
dividedBy(n: BigNumber.Value, base?: number): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber divided by `n`, rounded
* according to the current `DECIMAL_PLACES` and `ROUNDING_MODE` settings.
*
* ```ts
* x = new BigNumber(355)
* y = new BigNumber(113)
* x.div(y) // '3.14159292035398230088'
* x.div(5) // '71'
* x.div(47, 16) // '5'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
div(n: BigNumber.Value, base?: number): BigNumber;
/**
* Returns a BigNumber whose value is the integer part of dividing the value of this BigNumber by
* `n`.
*
* ```ts
* x = new BigNumber(5)
* y = new BigNumber(3)
* x.dividedToIntegerBy(y) // '1'
* x.dividedToIntegerBy(0.7) // '7'
* x.dividedToIntegerBy('0.f', 16) // '5'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
dividedToIntegerBy(n: BigNumber.Value, base?: number): BigNumber;
/**
* Returns a BigNumber whose value is the integer part of dividing the value of this BigNumber by
* `n`.
*
* ```ts
* x = new BigNumber(5)
* y = new BigNumber(3)
* x.idiv(y) // '1'
* x.idiv(0.7) // '7'
* x.idiv('0.f', 16) // '5'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
idiv(n: BigNumber.Value, base?: number): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber exponentiated by `n`, i.e.
* raised to the power `n`, and optionally modulo a modulus `m`.
*
* If `n` is negative the result is rounded according to the current `DECIMAL_PLACES` and
* `ROUNDING_MODE` settings.
*
* As the number of digits of the result of the power operation can grow so large so quickly,
* e.g. 123.456**10000 has over 50000 digits, the number of significant digits calculated is
* limited to the value of the `POW_PRECISION` setting (unless a modulus `m` is specified).
*
* By default `POW_PRECISION` is set to 0. This means that an unlimited number of significant
* digits will be calculated, and that the method's performance will decrease dramatically for
* larger exponents.
*
* If `m` is specified and the value of `m`, `n` and this BigNumber are integers and `n` is
* positive, then a fast modular exponentiation algorithm is used, otherwise the operation will
* be performed as `x.exponentiatedBy(n).modulo(m)` with a `POW_PRECISION` of 0.
*
* Throws if `n` is not an integer.
*
* ```ts
* Math.pow(0.7, 2) // 0.48999999999999994
* x = new BigNumber(0.7)
* x.exponentiatedBy(2) // '0.49'
* BigNumber(3).exponentiatedBy(-2) // '0.11111111111111111111'
* ```
*
* @param n The exponent, an integer.
* @param [m] The modulus.
*/
exponentiatedBy(n: BigNumber.Value, m?: BigNumber.Value): BigNumber;
exponentiatedBy(n: number, m?: BigNumber.Value): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber exponentiated by `n`, i.e.
* raised to the power `n`, and optionally modulo a modulus `m`.
*
* If `n` is negative the result is rounded according to the current `DECIMAL_PLACES` and
* `ROUNDING_MODE` settings.
*
* As the number of digits of the result of the power operation can grow so large so quickly,
* e.g. 123.456**10000 has over 50000 digits, the number of significant digits calculated is
* limited to the value of the `POW_PRECISION` setting (unless a modulus `m` is specified).
*
* By default `POW_PRECISION` is set to 0. This means that an unlimited number of significant
* digits will be calculated, and that the method's performance will decrease dramatically for
* larger exponents.
*
* If `m` is specified and the value of `m`, `n` and this BigNumber are integers and `n` is
* positive, then a fast modular exponentiation algorithm is used, otherwise the operation will
* be performed as `x.pow(n).modulo(m)` with a `POW_PRECISION` of 0.
*
* Throws if `n` is not an integer.
*
* ```ts
* Math.pow(0.7, 2) // 0.48999999999999994
* x = new BigNumber(0.7)
* x.pow(2) // '0.49'
* BigNumber(3).pow(-2) // '0.11111111111111111111'
* ```
*
* @param n The exponent, an integer.
* @param [m] The modulus.
*/
pow(n: BigNumber.Value, m?: BigNumber.Value): BigNumber;
pow(n: number, m?: BigNumber.Value): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber rounded to an integer using
* rounding mode `rm`.
*
* If `rm` is omitted, or is `null` or `undefined`, `ROUNDING_MODE` is used.
*
* Throws if `rm` is invalid.
*
* ```ts
* x = new BigNumber(123.456)
* x.integerValue() // '123'
* x.integerValue(BigNumber.ROUND_CEIL) // '124'
* y = new BigNumber(-12.7)
* y.integerValue() // '-13'
* x.integerValue(BigNumber.ROUND_DOWN) // '-12'
* ```
*
* @param {BigNumber.RoundingMode} [rm] The roundng mode, an integer, 0 to 8.
*/
integerValue(rm?: BigNumber.RoundingMode): BigNumber;
/**
* Returns `true` if the value of this BigNumber is equal to the value of `n`, otherwise returns
* `false`.
*
* As with JavaScript, `NaN` does not equal `NaN`.
*
* ```ts
* 0 === 1e-324 // true
* x = new BigNumber(0)
* x.isEqualTo('1e-324') // false
* BigNumber(-0).isEqualTo(x) // true ( -0 === 0 )
* BigNumber(255).isEqualTo('ff', 16) // true
*
* y = new BigNumber(NaN)
* y.isEqualTo(NaN) // false
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
isEqualTo(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is equal to the value of `n`, otherwise returns
* `false`.
*
* As with JavaScript, `NaN` does not equal `NaN`.
*
* ```ts
* 0 === 1e-324 // true
* x = new BigNumber(0)
* x.eq('1e-324') // false
* BigNumber(-0).eq(x) // true ( -0 === 0 )
* BigNumber(255).eq('ff', 16) // true
*
* y = new BigNumber(NaN)
* y.eq(NaN) // false
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
eq(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is a finite number, otherwise returns `false`.
*
* The only possible non-finite values of a BigNumber are `NaN`, `Infinity` and `-Infinity`.
*
* ```ts
* x = new BigNumber(1)
* x.isFinite() // true
* y = new BigNumber(Infinity)
* y.isFinite() // false
* ```
*/
isFinite(): boolean;
/**
* Returns `true` if the value of this BigNumber is greater than the value of `n`, otherwise
* returns `false`.
*
* ```ts
* 0.1 > (0.3 - 0.2) // true
* x = new BigNumber(0.1)
* x.isGreaterThan(BigNumber(0.3).minus(0.2)) // false
* BigNumber(0).isGreaterThan(x) // false
* BigNumber(11, 3).isGreaterThan(11.1, 2) // true
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
isGreaterThan(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is greater than the value of `n`, otherwise
* returns `false`.
*
* ```ts
* 0.1 > (0.3 - 0 // true
* x = new BigNumber(0.1)
* x.gt(BigNumber(0.3).minus(0.2)) // false
* BigNumber(0).gt(x) // false
* BigNumber(11, 3).gt(11.1, 2) // true
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
gt(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is greater than or equal to the value of `n`,
* otherwise returns `false`.
*
* ```ts
* (0.3 - 0.2) >= 0.1 // false
* x = new BigNumber(0.3).minus(0.2)
* x.isGreaterThanOrEqualTo(0.1) // true
* BigNumber(1).isGreaterThanOrEqualTo(x) // true
* BigNumber(10, 18).isGreaterThanOrEqualTo('i', 36) // true
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
isGreaterThanOrEqualTo(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is greater than or equal to the value of `n`,
* otherwise returns `false`.
*
* ```ts
* (0.3 - 0.2) >= 0.1 // false
* x = new BigNumber(0.3).minus(0.2)
* x.gte(0.1) // true
* BigNumber(1).gte(x) // true
* BigNumber(10, 18).gte('i', 36) // true
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
gte(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is an integer, otherwise returns `false`.
*
* ```ts
* x = new BigNumber(1)
* x.isInteger() // true
* y = new BigNumber(123.456)
* y.isInteger() // false
* ```
*/
isInteger(): boolean;
/**
* Returns `true` if the value of this BigNumber is less than the value of `n`, otherwise returns
* `false`.
*
* ```ts
* (0.3 - 0.2) < 0.1 // true
* x = new BigNumber(0.3).minus(0.2)
* x.isLessThan(0.1) // false
* BigNumber(0).isLessThan(x) // true
* BigNumber(11.1, 2).isLessThan(11, 3) // true
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
isLessThan(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is less than the value of `n`, otherwise returns
* `false`.
*
* ```ts
* (0.3 - 0.2) < 0.1 // true
* x = new BigNumber(0.3).minus(0.2)
* x.lt(0.1) // false
* BigNumber(0).lt(x) // true
* BigNumber(11.1, 2).lt(11, 3) // true
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
lt(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is less than or equal to the value of `n`,
* otherwise returns `false`.
*
* ```ts
* 0.1 <= (0.3 - 0.2) // false
* x = new BigNumber(0.1)
* x.isLessThanOrEqualTo(BigNumber(0.3).minus(0.2)) // true
* BigNumber(-1).isLessThanOrEqualTo(x) // true
* BigNumber(10, 18).isLessThanOrEqualTo('i', 36) // true
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
isLessThanOrEqualTo(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is less than or equal to the value of `n`,
* otherwise returns `false`.
*
* ```ts
* 0.1 <= (0.3 - 0.2) // false
* x = new BigNumber(0.1)
* x.lte(BigNumber(0.3).minus(0.2)) // true
* BigNumber(-1).lte(x) // true
* BigNumber(10, 18).lte('i', 36) // true
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
lte(n: BigNumber.Value, base?: number): boolean;
/**
* Returns `true` if the value of this BigNumber is `NaN`, otherwise returns `false`.
*
* ```ts
* x = new BigNumber(NaN)
* x.isNaN() // true
* y = new BigNumber('Infinity')
* y.isNaN() // false
* ```
*/
isNaN(): boolean;
/**
* Returns `true` if the value of this BigNumber is negative, otherwise returns `false`.
*
* ```ts
* x = new BigNumber(-0)
* x.isNegative() // true
* y = new BigNumber(2)
* y.isNegative() // false
* ```
*/
isNegative(): boolean;
/**
* Returns `true` if the value of this BigNumber is positive, otherwise returns `false`.
*
* ```ts
* x = new BigNumber(-0)
* x.isPositive() // false
* y = new BigNumber(2)
* y.isPositive() // true
* ```
*/
isPositive(): boolean;
/**
* Returns `true` if the value of this BigNumber is zero or minus zero, otherwise returns `false`.
*
* ```ts
* x = new BigNumber(-0)
* x.isZero() // true
* ```
*/
isZero(): boolean;
/**
* Returns a BigNumber whose value is the value of this BigNumber minus `n`.
*
* The return value is always exact and unrounded.
*
* ```ts
* 0.3 - 0.1 // 0.19999999999999998
* x = new BigNumber(0.3)
* x.minus(0.1) // '0.2'
* x.minus(0.6, 20) // '0'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
minus(n: BigNumber.Value, base?: number): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber modulo `n`, i.e. the integer
* remainder of dividing this BigNumber by `n`.
*
* The value returned, and in particular its sign, is dependent on the value of the `MODULO_MODE`
* setting of this BigNumber constructor. If it is 1 (default value), the result will have the
* same sign as this BigNumber, and it will match that of Javascript's `%` operator (within the
* limits of double precision) and BigDecimal's `remainder` method.
*
* The return value is always exact and unrounded.
*
* See `MODULO_MODE` for a description of the other modulo modes.
*
* ```ts
* 1 % 0.9 // 0.09999999999999998
* x = new BigNumber(1)
* x.modulo(0.9) // '0.1'
* y = new BigNumber(33)
* y.modulo('a', 33) // '3'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
modulo(n: BigNumber.Value, base?: number): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber modulo `n`, i.e. the integer
* remainder of dividing this BigNumber by `n`.
*
* The value returned, and in particular its sign, is dependent on the value of the `MODULO_MODE`
* setting of this BigNumber constructor. If it is 1 (default value), the result will have the
* same sign as this BigNumber, and it will match that of Javascript's `%` operator (within the
* limits of double precision) and BigDecimal's `remainder` method.
*
* The return value is always exact and unrounded.
*
* See `MODULO_MODE` for a description of the other modulo modes.
*
* ```ts
* 1 % 0.9 // 0.09999999999999998
* x = new BigNumber(1)
* x.mod(0.9) // '0.1'
* y = new BigNumber(33)
* y.mod('a', 33) // '3'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
mod(n: BigNumber.Value, base?: number): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber multiplied by `n`.
*
* The return value is always exact and unrounded.
*
* ```ts
* 0.6 * 3 // 1.7999999999999998
* x = new BigNumber(0.6)
* y = x.multipliedBy(3) // '1.8'
* BigNumber('7e+500').multipliedBy(y) // '1.26e+501'
* x.multipliedBy('-a', 16) // '-6'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
multipliedBy(n: BigNumber.Value, base?: number) : BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber multiplied by `n`.
*
* The return value is always exact and unrounded.
*
* ```ts
* 0.6 * 3 // 1.7999999999999998
* x = new BigNumber(0.6)
* y = x.times(3) // '1.8'
* BigNumber('7e+500').times(y) // '1.26e+501'
* x.times('-a', 16) // '-6'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
times(n: BigNumber.Value, base?: number): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber negated, i.e. multiplied by -1.
*
* ```ts
* x = new BigNumber(1.8)
* x.negated() // '-1.8'
* y = new BigNumber(-1.3)
* y.negated() // '1.3'
* ```
*/
negated(): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber plus `n`.
*
* The return value is always exact and unrounded.
*
* ```ts
* 0.1 + 0.2 // 0.30000000000000004
* x = new BigNumber(0.1)
* y = x.plus(0.2) // '0.3'
* BigNumber(0.7).plus(x).plus(y) // '1'
* x.plus('0.1', 8) // '0.225'
* ```
*
* @param n A numeric value.
* @param [base] The base of n.
*/
plus(n: BigNumber.Value, base?: number): BigNumber;
/**
* Returns the number of significant digits of the value of this BigNumber, or `null` if the value
* of this BigNumber is ±`Infinity` or `NaN`.
*
* If `includeZeros` is true then any trailing zeros of the integer part of the value of this
* BigNumber are counted as significant digits, otherwise they are not.
*
* Throws if `includeZeros` is invalid.
*
* ```ts
* x = new BigNumber(9876.54321)
* x.precision() // 9
* y = new BigNumber(987000)
* y.precision(false) // 3
* y.precision(true) // 6
* ```
*
* @param [includeZeros] Whether to include integer trailing zeros in the significant digit count.
*/
precision(includeZeros?: boolean): number;
/**
* Returns a BigNumber whose value is the value of this BigNumber rounded to a precision of
* `significantDigits` significant digits using rounding mode `roundingMode`.
*
* If `roundingMode` is omitted or is `null` or `undefined`, `ROUNDING_MODE` will be used.
*
* Throws if `significantDigits` or `roundingMode` is invalid.
*
* ```ts
* x = new BigNumber(9876.54321)
* x.precision(6) // '9876.54'
* x.precision(6, BigNumber.ROUND_UP) // '9876.55'
* x.precision(2) // '9900'
* x.precision(2, 1) // '9800'
* x // '9876.54321'
* ```
*
* @param significantDigits Significant digits, integer, 1 to 1e+9.
* @param [roundingMode] Rounding mode, integer, 0 to 8.
*/
precision(significantDigits: number, roundingMode?: BigNumber.RoundingMode): BigNumber;
/**
* Returns the number of significant digits of the value of this BigNumber,
* or `null` if the value of this BigNumber is ±`Infinity` or `NaN`.
*
* If `includeZeros` is true then any trailing zeros of the integer part of
* the value of this BigNumber are counted as significant digits, otherwise
* they are not.
*
* Throws if `includeZeros` is invalid.
*
* ```ts
* x = new BigNumber(9876.54321)
* x.sd() // 9
* y = new BigNumber(987000)
* y.sd(false) // 3
* y.sd(true) // 6
* ```
*
* @param [includeZeros] Whether to include integer trailing zeros in the significant digit count.
*/
sd(includeZeros?: boolean): number;
/*
* Returns a BigNumber whose value is the value of this BigNumber rounded to a precision of
* `significantDigits` significant digits using rounding mode `roundingMode`.
*
* If `roundingMode` is omitted or is `null` or `undefined`, `ROUNDING_MODE` will be used.
*
* Throws if `significantDigits` or `roundingMode` is invalid.
*
* ```ts
* x = new BigNumber(9876.54321)
* x.sd(6) // '9876.54'
* x.sd(6, BigNumber.ROUND_UP) // '9876.55'
* x.sd(2) // '9900'
* x.sd(2, 1) // '9800'
* x // '9876.54321'
* ```
*
* @param significantDigits Significant digits, integer, 1 to 1e+9.
* @param [roundingMode] Rounding mode, integer, 0 to 8.
*/
sd(significantDigits: number, roundingMode?: BigNumber.RoundingMode): BigNumber;
/**
* Returns a BigNumber whose value is the value of this BigNumber shifted by `n` places.
*
* The shift is of the decimal point, i.e. of powers of ten, and is to the left if `n` is negative
* or to the right if `n` is positive.
*
* The return value is always exact and unrounded.
*
* Throws if `n` is invalid.
*
* ```ts
* x = new BigNumber(1.23)
* x.shiftedBy(3) // '1230'
* x.shiftedBy(-3) // '0.00123'
* ```
*
* @param n The shift value, integer, -9007199254740991 to 9007199254740991.
*/
shiftedBy(n: number): BigNumber;
/**
* Returns a BigNumber whose value is the square root of the value of this BigNumber, rounded
* according to the current `DECIMAL_PLACES` and `ROUNDING_MODE` settings.
*
* The return value will be correctly rounded, i.e. rounded as if the result was first calculated
* to an infinite number of correct digits before rounding.
*
* ```ts
* x = new BigNumber(16)
* x.squareRoot() // '4'
* y = new BigNumber(3)
* y.squareRoot() // '1.73205080756887729353'
* ```
*/
squareRoot(): BigNumber;
/**
* Returns a BigNumber whose value is the square root of the value of this BigNumber, rounded
* according to the current `DECIMAL_PLACES` and `ROUNDING_MODE` settings.
*
* The return value will be correctly rounded, i.e. rounded as if the result was first calculated
* to an infinite number of correct digits before rounding.
*
* ```ts
* x = new BigNumber(16)
* x.sqrt() // '4'
* y = new BigNumber(3)
* y.sqrt() // '1.73205080756887729353'
* ```
*/
sqrt(): BigNumber;
/**
* Returns a string representing the value of this BigNumber in exponential notation rounded using
* rounding mode `roundingMode` to `decimalPlaces` decimal places, i.e with one digit before the
* decimal point and `decimalPlaces` digits after it.
*
* If the value of this BigNumber in exponential notation has fewer than `decimalPlaces` fraction
* digits, the return value will be appended with zeros accordingly.
*
* If `decimalPlaces` is omitted, or is `null` or `undefined`, the number of digits after the
* decimal point defaults to the minimum number of digits necessary to represent the value
* exactly.
*
* If `roundingMode` is omitted or is `null` or `undefined`, `ROUNDING_MODE` is used.
*
* Throws if `decimalPlaces` or `roundingMode` is invalid.
*
* ```ts
* x = 45.6
* y = new BigNumber(x)
* x.toExponential() // '4.56e+1'
* y.toExponential() // '4.56e+1'
* x.toExponential(0) // '5e+1'
* y.toExponential(0) // '5e+1'
* x.toExponential(1) // '4.6e+1'
* y.toExponential(1) // '4.6e+1'
* y.toExponential(1, 1) // '4.5e+1' (ROUND_DOWN)
* x.toExponential(3) // '4.560e+1'
* y.toExponential(3) // '4.560e+1'
* ```
*
* @param [decimalPlaces] Decimal places, integer, 0 to 1e+9.
* @param [roundingMode] Rounding mode, integer, 0 to 8.
*/
toExponential(decimalPlaces: number, roundingMode?: BigNumber.RoundingMode): string;
toExponential(): string;
/**
* Returns a string representing the value of this BigNumber in normal (fixed-point) notation
* rounded to `decimalPlaces` decimal places using rounding mode `roundingMode`.
*
* If the value of this BigNumber in normal notation has fewer than `decimalPlaces` fraction
* digits, the return value will be appended with zeros accordingly.
*
* Unlike `Number.prototype.toFixed`, which returns exponential notation if a number is greater or
* equal to 10**21, this method will always return normal notation.
*
* If `decimalPlaces` is omitted or is `null` or `undefined`, the return value will be unrounded
* and in normal notation. This is also unlike `Number.prototype.toFixed`, which returns the value
* to zero decimal places. It is useful when normal notation is required and the current
* `EXPONENTIAL_AT` setting causes `toString` to return exponential notation.
*
* If `roundingMode` is omitted or is `null` or `undefined`, `ROUNDING_MODE` is used.
*
* Throws if `decimalPlaces` or `roundingMode` is invalid.
*
* ```ts
* x = 3.456
* y = new BigNumber(x)
* x.toFixed() // '3'
* y.toFixed() // '3.456'
* y.toFixed(0) // '3'
* x.toFixed(2) // '3.46'
* y.toFixed(2) // '3.46'
* y.toFixed(2, 1) // '3.45' (ROUND_DOWN)
* x.toFixed(5) // '3.45600'
* y.toFixed(5) // '3.45600'
* ```
*
* @param [decimalPlaces] Decimal places, integer, 0 to 1e+9.
* @param [roundingMode] Rounding mode, integer, 0 to 8.
*/
toFixed(decimalPlaces: number, roundingMode?: BigNumber.RoundingMode): string;
toFixed(): string;
/**
* Returns a string representing the value of this BigNumber in normal (fixed-point) notation
* rounded to `decimalPlaces` decimal places using rounding mode `roundingMode`, and formatted
* according to the properties of the `format` or `FORMAT` object.
*
* The formatting object may contain some or all of the properties shown in the examples below.
*
* If `decimalPlaces` is omitted or is `null` or `undefined`, then the return value is not
* rounded to a fixed number of decimal places.
*
* If `roundingMode` is omitted or is `null` or `undefined`, `ROUNDING_MODE` is used.
*
* If `format` is omitted or is `null` or `undefined`, `FORMAT` is used.
*
* Throws if `decimalPlaces`, `roundingMode`, or `format` is invalid.
*
* ```ts
* fmt = {
* decimalSeparator: '.',
* groupSeparator: ',',
* groupSize: 3,
* secondaryGroupSize: 0,
* fractionGroupSeparator: ' ',
* fractionGroupSize: 0
* }
*
* x = new BigNumber('123456789.123456789')
*
* // Set the global formatting options
* BigNumber.config({ FORMAT: fmt })
*
* x.toFormat() // '123,456,789.123456789'
* x.toFormat(3) // '123,456,789.123'
*
* // If a reference to the object assigned to FORMAT has been retained,
* // the format properties can be changed directly
* fmt.groupSeparator = ' '
* fmt.fractionGroupSize = 5
* x.toFormat() // '123 456 789.12345 6789'
*
* // Alternatively, pass the formatting options as an argument
* fmt = {
* decimalSeparator: ',',
* groupSeparator: '.',
* groupSize: 3,
* secondaryGroupSize: 2
* }
*
* x.toFormat() // '123 456 789.12345 6789'
* x.toFormat(fmt) // '12.34.56.789,123456789'
* x.toFormat(2, fmt) // '12.34.56.789,12'
* x.toFormat(3, BigNumber.ROUND_UP, fmt) // '12.34.56.789,124'
* ```
*
* @param [decimalPlaces] Decimal places, integer, 0 to 1e+9.
* @param [roundingMode] Rounding mode, integer, 0 to 8.
* @param [format] Formatting options object. See `BigNumber.Format`.
*/
toFormat(decimalPlaces: number, roundingMode: BigNumber.RoundingMode, format?: BigNumber.Format): string;
toFormat(decimalPlaces: number, roundingMode?: BigNumber.RoundingMode): string;
toFormat(decimalPlaces?: number): string;
toFormat(decimalPlaces: number, format: BigNumber.Format): string;
toFormat(format: BigNumber.Format): string;
/**
* Returns an array of two BigNumbers representing the value of this BigNumber as a simple
* fraction with an integer numerator and an integer denominator.
* The denominator will be a positive non-zero value less than or equal to `max_denominator`.
* If a maximum denominator, `max_denominator`, is not specified, or is `null` or `undefined`, the
* denominator will be the lowest value necessary to represent the number exactly.
*
* Throws if `max_denominator` is invalid.
*
* ```ts
* x = new BigNumber(1.75)
* x.toFraction() // '7, 4'
*
* pi = new BigNumber('3.14159265358')
* pi.toFraction() // '157079632679,50000000000'
* pi.toFraction(100000) // '312689, 99532'
* pi.toFraction(10000) // '355, 113'
* pi.toFraction(100) // '311, 99'
* pi.toFraction(10) // '22, 7'
* pi.toFraction(1) // '3, 1'
* ```
*
* @param [max_denominator] The maximum denominator, integer > 0, or Infinity.
*/
toFraction(max_denominator?: BigNumber.Value): [BigNumber, BigNumber];
/**
* As `valueOf`.
*/
toJSON(): string;
/**
* Returns the value of this BigNumber as a JavaScript primitive number.
*
* Using the unary plus operator gives the same result.
*
* ```ts
* x = new BigNumber(456.789)
* x.toNumber() // 456.789
* +x // 456.789
*
* y = new BigNumber('45987349857634085409857349856430985')
* y.toNumber() // 4.598734985763409e+34
*
* z = new BigNumber(-0)
* 1 / z.toNumber() // -Infinity
* 1 / +z // -Infinity
* ```
*/
toNumber(): number;
/**
* Returns a string representing the value of this BigNumber rounded to `significantDigits`
* significant digits using rounding mode `roundingMode`.
*
* If `significantDigits` is less than the number of digits necessary to represent the integer
* part of the value in normal (fixed-point) notation, then exponential notation is used.
*
* If `significantDigits` is omitted, or is `null` or `undefined`, then the return value is the
* same as `n.toString()`.
*
* If `roundingMode` is omitted or is `null` or `undefined`, `ROUNDING_MODE` is used.
*
* Throws if `significantDigits` or `roundingMode` is invalid.
*
* ```ts
* x = 45.6
* y = new BigNumber(x)
* x.toPrecision() // '45.6'
* y.toPrecision() // '45.6'
* x.toPrecision(1) // '5e+1'
* y.toPrecision(1) // '5e+1'
* y.toPrecision(2, 0) // '4.6e+1' (ROUND_UP)
* y.toPrecision(2, 1) // '4.5e+1' (ROUND_DOWN)
* x.toPrecision(5) // '45.600'
* y.toPrecision(5) // '45.600'
* ```
*
* @param [significantDigits] Significant digits, integer, 1 to 1e+9.
* @param [roundingMode] Rounding mode, integer 0 to 8.
*/
toPrecision(significantDigits: number, roundingMode?: BigNumber.RoundingMode): string;
toPrecision(): string;
/**
* Returns a string representing the value of this BigNumber in base `base`, or base 10 if `base`
* is omitted or is `null` or `undefined`.
*
* For bases above 10, and using the default base conversion alphabet (see `ALPHABET`), values
* from 10 to 35 are represented by a-z (the same as `Number.prototype.toString`).
*
* If a base is specified the value is rounded according to the current `DECIMAL_PLACES` and
* `ROUNDING_MODE` settings, otherwise it is not.
*
* If a base is not specified, and this BigNumber has a positive exponent that is equal to or
* greater than the positive component of the current `EXPONENTIAL_AT` setting, or a negative
* exponent equal to or less than the negative component of the setting, then exponential notation
* is returned.
*
* If `base` is `null` or `undefined` it is ignored.
*
* Throws if `base` is invalid.
*
* ```ts
* x = new BigNumber(750000)
* x.toString() // '750000'
* BigNumber.config({ EXPONENTIAL_AT: 5 })
* x.toString() // '7.5e+5'
*
* y = new BigNumber(362.875)
* y.toString(2) // '101101010.111'
* y.toString(9) // '442.77777777777777777778'
* y.toString(32) // 'ba.s'
*
* BigNumber.config({ DECIMAL_PLACES: 4 });
* z = new BigNumber('1.23456789')
* z.toString() // '1.23456789'
* z.toString(10) // '1.2346'
* ```
*
* @param [base] The base, integer, 2 to 36 (or `ALPHABET.length`, see `ALPHABET`).
*/
toString(base?: number): string;
/**
* As `toString`, but does not accept a base argument and includes the minus sign for negative
* zero.
*
* ``ts
* x = new BigNumber('-0')
* x.toString() // '0'
* x.valueOf() // '-0'
* y = new BigNumber('1.777e+457')
* y.valueOf() // '1.777e+457'
* ```
*/
valueOf(): string;
/**
* Returns a new independent BigNumber constructor with configuration as described by `object`, or
* with the default configuration if object is `null` or `undefined`.
*
* Throws if `object` is not an object.
*
* ```ts
* BigNumber.config({ DECIMAL_PLACES: 5 })
* BN = BigNumber.clone({ DECIMAL_PLACES: 9 })
*
* x = new BigNumber(1)
* y = new BN(1)
*
* x.div(3) // 0.33333
* y.div(3) // 0.333333333
*
* // BN = BigNumber.clone({ DECIMAL_PLACES: 9 }) is equivalent to:
* BN = BigNumber.clone()
* BN.config({ DECIMAL_PLACES: 9 })
* ```
*
* @param [object] The configuration object.
*/
static clone(object?: BigNumber.Config): BigNumber.Constructor;
/**
* Configures the settings that apply to this BigNumber constructor.
*
* The configuration object, `object`, contains any number of the properties shown in the example
* below.
*
* Returns an object with the above properties and their current values.
*
* Throws if `object` is not an object, or if an invalid value is assigned to one or more of the
* properties.
*
* ```ts
* BigNumber.config({
* DECIMAL_PLACES: 40,
* ROUNDING_MODE: BigNumber.ROUND_HALF_CEIL,
* EXPONENTIAL_AT: [-10, 20],
* RANGE: [-500, 500],
* CRYPTO: true,
* MODULO_MODE: BigNumber.ROUND_FLOOR,
* POW_PRECISION: 80,
* FORMAT: {
* groupSize: 3,
* groupSeparator: ' ',
* decimalSeparator: ','
* },
* ALPHABET: '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ$_'
* });
*
* BigNumber.config().DECIMAL_PLACES // 40
* ```
*
* @param object The configuration object.
*/
static config(object: BigNumber.Config): BigNumber.Config;
/**
* Returns `true` if `value` is a BigNumber instance, otherwise returns `false`.
*
* ```ts
* x = 42
* y = new BigNumber(x)
*
* BigNumber.isBigNumber(x) // false
* y instanceof BigNumber // true
* BigNumber.isBigNumber(y) // true
*
* BN = BigNumber.clone();
* z = new BN(x)
* z instanceof BigNumber // false
* BigNumber.isBigNumber(z) // true
* ```
*
* @param value The value to test.
*/
static isBigNumber(value: any): value is BigNumber;
/**
* Returns a BigNumber whose value is the maximum of the arguments.
*
* The return value is always exact and unrounded.
*
* ```ts
* x = new BigNumber('3257869345.0378653')
* BigNumber.maximum(4e9, x, '123456789.9') // '4000000000'
*
* arr = [12, '13', new BigNumber(14)]
* BigNumber.maximum.apply(null, arr) // '14'
* ```
*
* @param n A numeric value.
*/
static maximum(...n: BigNumber.Value[]): BigNumber;
/**
* Returns a BigNumber whose value is the maximum of the arguments.
*
* The return value is always exact and unrounded.
*
* ```ts
* x = new BigNumber('3257869345.0378653')
* BigNumber.max(4e9, x, '123456789.9') // '4000000000'
*
* arr = [12, '13', new BigNumber(14)]
* BigNumber.max.apply(null, arr) // '14'
* ```
*
* @param n A numeric value.
*/
static max(...n: BigNumber.Value[]): BigNumber;
/**
* Returns a BigNumber whose value is the minimum of the arguments.
*
* The return value is always exact and unrounded.
*
* ```ts
* x = new BigNumber('3257869345.0378653')
* BigNumber.minimum(4e9, x, '123456789.9') // '123456789.9'
*
* arr = [2, new BigNumber(-14), '-15.9999', -12]
* BigNumber.minimum.apply(null, arr) // '-15.9999'
* ```
*
* @param n A numeric value.
*/
static minimum(...n: BigNumber.Value[]): BigNumber;
/**
* Returns a BigNumber whose value is the minimum of the arguments.
*
* The return value is always exact and unrounded.
*
* ```ts
* x = new BigNumber('3257869345.0378653')
* BigNumber.min(4e9, x, '123456789.9') // '123456789.9'
*
* arr = [2, new BigNumber(-14), '-15.9999', -12]
* BigNumber.min.apply(null, arr) // '-15.9999'
* ```
*
* @param n A numeric value.
*/
static min(...n: BigNumber.Value[]): BigNumber;
/**
* Returns a new BigNumber with a pseudo-random value equal to or greater than 0 and less than 1.
*
* The return value will have `decimalPlaces` decimal places, or less if trailing zeros are
* produced. If `decimalPlaces` is omitted, the current `DECIMAL_PLACES` setting will be used.
*
* Depending on the value of this BigNumber constructor's `CRYPTO` setting and the support for the
* `crypto` object in the host environment, the random digits of the return value are generated by
* either `Math.random` (fastest), `crypto.getRandomValues` (Web Cryptography API in recent
* browsers) or `crypto.randomBytes` (Node.js).
*
* To be able to set `CRYPTO` to true when using Node.js, the `crypto` object must be available
* globally:
*
* ```ts
* global.crypto = require('crypto')
* ```
*
* If `CRYPTO` is true, i.e. one of the `crypto` methods is to be used, the value of a returned
* BigNumber should be cryptographically secure and statistically indistinguishable from a random
* value.
*
* Throws if `decimalPlaces` is invalid.
*
* ```ts
* BigNumber.config({ DECIMAL_PLACES: 10 })
* BigNumber.random() // '0.4117936847'
* BigNumber.random(20) // '0.78193327636914089009'
* ```
*
* @param [decimalPlaces] Decimal places, integer, 0 to 1e+9.
*/
static random(decimalPlaces?: number): BigNumber;
/**
* Returns a BigNumber whose value is the sum of the arguments.
*
* The return value is always exact and unrounded.
*
* ```ts
* x = new BigNumber('3257869345.0378653')
* BigNumber.sum(4e9, x, '123456789.9') // '7381326134.9378653'
*
* arr = [2, new BigNumber(14), '15.9999', 12]
* BigNumber.sum.apply(null, arr) // '43.9999'
* ```
*
* @param n A numeric value.
*/
static sum(...n: BigNumber.Value[]): BigNumber;
/**
* Configures the settings that apply to this BigNumber constructor.
*
* The configuration object, `object`, contains any number of the properties shown in the example
* below.
*
* Returns an object with the above properties and their current values.
*
* Throws if `object` is not an object, or if an invalid value is assigned to one or more of the
* properties.
*
* ```ts
* BigNumber.set({
* DECIMAL_PLACES: 40,
* ROUNDING_MODE: BigNumber.ROUND_HALF_CEIL,
* EXPONENTIAL_AT: [-10, 20],
* RANGE: [-500, 500],
* CRYPTO: true,
* MODULO_MODE: BigNumber.ROUND_FLOOR,
* POW_PRECISION: 80,
* FORMAT: {
* groupSize: 3,
* groupSeparator: ' ',
* decimalSeparator: ','
* },
* ALPHABET: '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ$_'
* });
*
* BigNumber.set().DECIMAL_PLACES // 40
* ```
*
* @param object The configuration object.
*/
static set(object: BigNumber.Config): BigNumber.Config;
/**
* Helps ES6 import.
*/
private static readonly default?: BigNumber.Constructor;
/**
* Helps ES6 import.
*/
private static readonly BigNumber?: BigNumber.Constructor;
/**
* Rounds away from zero.
*/
static readonly ROUND_UP: 0;
/**
* Rounds towards zero.
*/
static readonly ROUND_DOWN: 1;
/**
* Rounds towards Infinity.
*/
static readonly ROUND_CEIL: 2;
/**
* Rounds towards -Infinity.
*/
static readonly ROUND_FLOOR: 3;
/**
* Rounds towards nearest neighbour. If equidistant, rounds away from zero .
*/
static readonly ROUND_HALF_UP: 4;
/**
* Rounds towards nearest neighbour. If equidistant, rounds towards zero.
*/
static readonly ROUND_HALF_DOWN: 5;
/**
* Rounds towards nearest neighbour. If equidistant, rounds towards even neighbour.
*/
static readonly ROUND_HALF_EVEN: 6;
/**
* Rounds towards nearest neighbour. If equidistant, rounds towards Infinity.
*/
static readonly ROUND_HALF_CEIL: 7;
/**
* Rounds towards nearest neighbour. If equidistant, rounds towards -Infinity.
*/
static readonly ROUND_HALF_FLOOR: 8;
/**
* See `MODULO_MODE`.
*/
static readonly EUCLID: 9;
/**
* To aid in debugging, if a `BigNumber.DEBUG` property is `true` then an error will be thrown
* on an invalid `BigNumber.Value`.
*
* ```ts
* // No error, and BigNumber NaN is returned.
* new BigNumber('blurgh') // 'NaN'
* new BigNumber(9, 2) // 'NaN'
* BigNumber.DEBUG = true
* new BigNumber('blurgh') // '[BigNumber Error] Not a number'
* new BigNumber(9, 2) // '[BigNumber Error] Not a base 2 number'
* ```
*
* An error will also be thrown if a `BigNumber.Value` is of type number with more than 15
* significant digits, as calling `toString` or `valueOf` on such numbers may not result
* in the intended value.
*
* ```ts
* console.log(823456789123456.3) // 823456789123456.2
* // No error, and the returned BigNumber does not have the same value as the number literal.
* new BigNumber(823456789123456.3) // '823456789123456.2'
* BigNumber.DEBUG = true
* new BigNumber(823456789123456.3)
* // '[BigNumber Error] Number primitive has more than 15 significant digits'
* ```
*
*/
static DEBUG?: boolean;
}