mirror of
https://github.com/musix-org/musix-oss
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1798 lines
61 KiB
TypeScript
1798 lines
61 KiB
TypeScript
// Type definitions for bignumber.js >=6.0.0
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// Project: https://github.com/MikeMcl/bignumber.js
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// Definitions by: Michael Mclaughlin <https://github.com/MikeMcl>
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// Definitions: https://github.com/MikeMcl/bignumber.js
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// Documentation: http://mikemcl.github.io/bignumber.js/
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//
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// Exports:
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//
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// class BigNumber (default export)
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// type BigNumber.Constructor
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// type BigNumber.Instance
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// type BigNumber.ModuloMode
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// type BigNumber.RoundingMOde
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// type BigNumber.Value
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// interface BigNumber.Config
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// interface BigNumber.Format
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//
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// Example (alternative syntax commented-out):
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//
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// import {BigNumber} from "bignumber.js"
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// //import BigNumber from "bignumber.js"
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//
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// let rm: BigNumber.RoundingMode = BigNumber.ROUND_UP;
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// let f: BigNumber.Format = { decimalSeparator: ',' };
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// let c: BigNumber.Config = { DECIMAL_PLACES: 4, ROUNDING_MODE: rm, FORMAT: f };
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// BigNumber.config(c);
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//
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// let v: BigNumber.Value = '12345.6789';
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// let b: BigNumber = new BigNumber(v);
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// //let b: BigNumber.Instance = new BigNumber(v);
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//
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// The use of compiler option `--strictNullChecks` is recommended.
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export default BigNumber;
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export namespace BigNumber {
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/**
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* See `BigNumber.config` and `BigNumber.clone`.
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*/
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export interface Config {
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/**
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* An integer, 0 to 1e+9. Default value: 20.
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*
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* The maximum number of decimal places of the result of operations involving division, i.e.
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* division, square root and base conversion operations, and exponentiation when the exponent is
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* negative.
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*
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* ```ts
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* BigNumber.config({ DECIMAL_PLACES: 5 })
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* BigNumber.set({ DECIMAL_PLACES: 5 })
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* ```
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*/
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DECIMAL_PLACES?: number;
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/**
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* An integer, 0 to 8. Default value: `BigNumber.ROUND_HALF_UP` (4).
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*
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* The rounding mode used in operations that involve division (see `DECIMAL_PLACES`) and the
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* default rounding mode of the `decimalPlaces`, `precision`, `toExponential`, `toFixed`,
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* `toFormat` and `toPrecision` methods.
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*
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* The modes are available as enumerated properties of the BigNumber constructor.
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*
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* ```ts
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* BigNumber.config({ ROUNDING_MODE: 0 })
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* BigNumber.set({ ROUNDING_MODE: BigNumber.ROUND_UP })
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* ```
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*/
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ROUNDING_MODE?: BigNumber.RoundingMode;
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/**
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* An integer, 0 to 1e+9, or an array, [-1e+9 to 0, 0 to 1e+9].
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* Default value: `[-7, 20]`.
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*
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* The exponent value(s) at which `toString` returns exponential notation.
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*
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* If a single number is assigned, the value is the exponent magnitude.
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*
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* If an array of two numbers is assigned then the first number is the negative exponent value at
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* and beneath which exponential notation is used, and the second number is the positive exponent
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* value at and above which exponential notation is used.
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*
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* For example, to emulate JavaScript numbers in terms of the exponent values at which they begin
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* to use exponential notation, use `[-7, 20]`.
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*
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* ```ts
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* BigNumber.config({ EXPONENTIAL_AT: 2 })
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* new BigNumber(12.3) // '12.3' e is only 1
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* new BigNumber(123) // '1.23e+2'
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* new BigNumber(0.123) // '0.123' e is only -1
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* new BigNumber(0.0123) // '1.23e-2'
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*
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* BigNumber.config({ EXPONENTIAL_AT: [-7, 20] })
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* new BigNumber(123456789) // '123456789' e is only 8
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* new BigNumber(0.000000123) // '1.23e-7'
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*
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* // Almost never return exponential notation:
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* BigNumber.config({ EXPONENTIAL_AT: 1e+9 })
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*
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* // Always return exponential notation:
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* BigNumber.config({ EXPONENTIAL_AT: 0 })
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* ```
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*
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* Regardless of the value of `EXPONENTIAL_AT`, the `toFixed` method will always return a value in
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* normal notation and the `toExponential` method will always return a value in exponential form.
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* Calling `toString` with a base argument, e.g. `toString(10)`, will also always return normal
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* notation.
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*/
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EXPONENTIAL_AT?: number|[number, number];
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/**
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* An integer, magnitude 1 to 1e+9, or an array, [-1e+9 to -1, 1 to 1e+9].
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* Default value: `[-1e+9, 1e+9]`.
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*
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* The exponent value(s) beyond which overflow to Infinity and underflow to zero occurs.
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*
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* If a single number is assigned, it is the maximum exponent magnitude: values wth a positive
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* exponent of greater magnitude become Infinity and those with a negative exponent of greater
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* magnitude become zero.
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*
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* If an array of two numbers is assigned then the first number is the negative exponent limit and
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* the second number is the positive exponent limit.
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*
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* For example, to emulate JavaScript numbers in terms of the exponent values at which they
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* become zero and Infinity, use [-324, 308].
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*
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* ```ts
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* BigNumber.config({ RANGE: 500 })
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* BigNumber.config().RANGE // [ -500, 500 ]
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* new BigNumber('9.999e499') // '9.999e+499'
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* new BigNumber('1e500') // 'Infinity'
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* new BigNumber('1e-499') // '1e-499'
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* new BigNumber('1e-500') // '0'
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*
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* BigNumber.config({ RANGE: [-3, 4] })
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* new BigNumber(99999) // '99999' e is only 4
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* new BigNumber(100000) // 'Infinity' e is 5
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* new BigNumber(0.001) // '0.01' e is only -3
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* new BigNumber(0.0001) // '0' e is -4
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* ```
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* The largest possible magnitude of a finite BigNumber is 9.999...e+1000000000.
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* The smallest possible magnitude of a non-zero BigNumber is 1e-1000000000.
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*/
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RANGE?: number|[number, number];
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/**
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* A boolean: `true` or `false`. Default value: `false`.
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*
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* The value that determines whether cryptographically-secure pseudo-random number generation is
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* used. If `CRYPTO` is set to true then the random method will generate random digits using
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* `crypto.getRandomValues` in browsers that support it, or `crypto.randomBytes` if using a
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* version of Node.js that supports it.
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*
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* If neither function is supported by the host environment then attempting to set `CRYPTO` to
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* `true` will fail and an exception will be thrown.
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*
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* If `CRYPTO` is `false` then the source of randomness used will be `Math.random` (which is
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* assumed to generate at least 30 bits of randomness).
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*
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* See `BigNumber.random`.
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*
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* ```ts
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* BigNumber.config({ CRYPTO: true })
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* BigNumber.config().CRYPTO // true
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* BigNumber.random() // 0.54340758610486147524
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* ```
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*/
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CRYPTO?: boolean;
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/**
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* An integer, 0, 1, 3, 6 or 9. Default value: `BigNumber.ROUND_DOWN` (1).
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*
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* The modulo mode used when calculating the modulus: `a mod n`.
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* The quotient, `q = a / n`, is calculated according to the `ROUNDING_MODE` that corresponds to
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* the chosen `MODULO_MODE`.
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* The remainder, `r`, is calculated as: `r = a - n * q`.
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*
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* The modes that are most commonly used for the modulus/remainder operation are shown in the
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* following table. Although the other rounding modes can be used, they may not give useful
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* results.
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*
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* Property | Value | Description
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* :------------------|:------|:------------------------------------------------------------------
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* `ROUND_UP` | 0 | The remainder is positive if the dividend is negative.
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* `ROUND_DOWN` | 1 | The remainder has the same sign as the dividend.
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* | | Uses 'truncating division' and matches JavaScript's `%` operator .
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* `ROUND_FLOOR` | 3 | The remainder has the same sign as the divisor.
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* | | This matches Python's `%` operator.
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* `ROUND_HALF_EVEN` | 6 | The IEEE 754 remainder function.
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* `EUCLID` | 9 | The remainder is always positive.
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* | | Euclidian division: `q = sign(n) * floor(a / abs(n))`
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*
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* The rounding/modulo modes are available as enumerated properties of the BigNumber constructor.
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*
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* See `modulo`.
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*
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* ```ts
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* BigNumber.config({ MODULO_MODE: BigNumber.EUCLID })
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* BigNumber.set({ MODULO_MODE: 9 }) // equivalent
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* ```
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*/
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MODULO_MODE?: BigNumber.ModuloMode;
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/**
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* An integer, 0 to 1e+9. Default value: 0.
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*
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* The maximum precision, i.e. number of significant digits, of the result of the power operation
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* - unless a modulus is specified.
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*
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* If set to 0, the number of significant digits will not be limited.
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*
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* See `exponentiatedBy`.
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*
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* ```ts
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* BigNumber.config({ POW_PRECISION: 100 })
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* ```
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*/
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POW_PRECISION?: number;
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/**
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* An object including any number of the properties shown below.
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*
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* The object configures the format of the string returned by the `toFormat` method.
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* The example below shows the properties of the object that are recognised, and
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* their default values.
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*
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* Unlike the other configuration properties, the values of the properties of the `FORMAT` object
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* will not be checked for validity - the existing object will simply be replaced by the object
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* that is passed in.
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*
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* See `toFormat`.
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*
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* ```ts
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* BigNumber.config({
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* FORMAT: {
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* // the decimal separator
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* decimalSeparator: '.',
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* // the grouping separator of the integer part
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* groupSeparator: ',',
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* // the primary grouping size of the integer part
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* groupSize: 3,
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* // the secondary grouping size of the integer part
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* secondaryGroupSize: 0,
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* // the grouping separator of the fraction part
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* fractionGroupSeparator: ' ',
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* // the grouping size of the fraction part
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* fractionGroupSize: 0
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* }
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* })
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* ```
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*/
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FORMAT?: BigNumber.Format;
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/**
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* A string representing the alphabet used for base conversion.
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* Default value: `'0123456789abcdefghijklmnopqrstuvwxyz'`.
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*
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* The length of the alphabet corresponds to the maximum value of the base argument that can be
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* passed to the BigNumber constructor or `toString`. There is no maximum length, but it must be
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* at least 2 characters long, and it must not contain a repeated character, or `'.'` - the
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* decimal separator for all values whatever their base.
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*
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* ```ts
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* // duodecimal (base 12)
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* BigNumber.config({ ALPHABET: '0123456789TE' })
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* x = new BigNumber('T', 12)
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* x.toString() // '10'
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* x.toString(12) // 'T'
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* ```
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*/
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ALPHABET?: string;
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}
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export type Constructor = typeof BigNumber;
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/**
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* See `FORMAT` and `toFormat`.
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*/
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export interface Format {
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/**
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* The decimal separator.
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*/
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decimalSeparator?: string;
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/**
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* The grouping separator of the integer part.
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*/
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groupSeparator?: string;
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/**
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* The primary grouping size of the integer part.
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*/
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groupSize?: number;
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/**
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* The secondary grouping size of the integer part.
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*/
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secondaryGroupSize?: number;
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/**
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* The grouping separator of the fraction part.
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*/
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fractionGroupSeparator?: string;
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/**
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* The grouping size of the fraction part.
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*/
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fractionGroupSize?: number;
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}
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export type Instance = BigNumber;
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export type ModuloMode = 0 | 1 | 3 | 6 | 9;
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export type RoundingMode = 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8;
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export type Value = string | number | BigNumber;
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}
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export declare class BigNumber {
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/**
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* Used internally by the `BigNumber.isBigNumber` method.
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*/
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private readonly _isBigNumber: true;
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/**
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* The coefficient of the value of this BigNumber, an array of base 1e14 integer numbers.
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*/
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readonly c: number[];
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/**
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* The exponent of the value of this BigNumber, an integer number, -1000000000 to 1000000000.
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*/
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readonly e: number;
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/**
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* The sign of the value of this BigNumber, -1 or 1.
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*/
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readonly s: number;
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/**
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* Returns a new instance of a BigNumber object with value `n`, where `n` is a numeric value in
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* the specified `base`, or base 10 if `base` is omitted or is `null` or `undefined`.
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*
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* ```ts
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* x = new BigNumber(123.4567) // '123.4567'
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* // 'new' is optional
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* y = BigNumber(x) // '123.4567'
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* ```
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*
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* If `n` is a base 10 value it can be in normal (fixed-point) or exponential notation.
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* Values in other bases must be in normal notation. Values in any base can have fraction digits,
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* i.e. digits after the decimal point.
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*
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* ```ts
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* new BigNumber(43210) // '43210'
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* new BigNumber('4.321e+4') // '43210'
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* new BigNumber('-735.0918e-430') // '-7.350918e-428'
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* new BigNumber('123412421.234324', 5) // '607236.557696'
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* ```
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*
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* Signed `0`, signed `Infinity` and `NaN` are supported.
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*
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* ```ts
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* new BigNumber('-Infinity') // '-Infinity'
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* new BigNumber(NaN) // 'NaN'
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* new BigNumber(-0) // '0'
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* new BigNumber('.5') // '0.5'
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* new BigNumber('+2') // '2'
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* ```
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*
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* String values in hexadecimal literal form, e.g. `'0xff'`, are valid, as are string values with
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* the octal and binary prefixs `'0o'` and `'0b'`. String values in octal literal form without the
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* prefix will be interpreted as decimals, e.g. `'011'` is interpreted as 11, not 9.
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*
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* ```ts
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* new BigNumber(-10110100.1, 2) // '-180.5'
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* new BigNumber('-0b10110100.1') // '-180.5'
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* new BigNumber('ff.8', 16) // '255.5'
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* new BigNumber('0xff.8') // '255.5'
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* ```
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*
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* If a base is specified, `n` is rounded according to the current `DECIMAL_PLACES` and
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* `ROUNDING_MODE` settings. This includes base 10, so don't include a `base` parameter for decimal
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* values unless this behaviour is desired.
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*
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* ```ts
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* BigNumber.config({ DECIMAL_PLACES: 5 })
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* new BigNumber(1.23456789) // '1.23456789'
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* new BigNumber(1.23456789, 10) // '1.23457'
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* ```
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*
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* An error is thrown if `base` is invalid.
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*
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* There is no limit to the number of digits of a value of type string (other than that of
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* JavaScript's maximum array size). See `RANGE` to set the maximum and minimum possible exponent
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* value of a BigNumber.
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*
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* ```ts
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* new BigNumber('5032485723458348569331745.33434346346912144534543')
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* new BigNumber('4.321e10000000')
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* ```
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*
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* BigNumber `NaN` is returned if `n` is invalid (unless `BigNumber.DEBUG` is `true`, see below).
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*
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* ```ts
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* new BigNumber('.1*') // 'NaN'
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* new BigNumber('blurgh') // 'NaN'
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* new BigNumber(9, 2) // 'NaN'
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* ```
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*
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* To aid in debugging, if `BigNumber.DEBUG` is `true` then an error will be thrown on an
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* invalid `n`. An error will also be thrown if `n` is of type number with more than 15
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* significant digits, as calling `toString` or `valueOf` on these numbers may not result in the
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* intended value.
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*
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* ```ts
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* console.log(823456789123456.3) // 823456789123456.2
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* new BigNumber(823456789123456.3) // '823456789123456.2'
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* BigNumber.DEBUG = true
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* // 'Error: Number has more than 15 significant digits'
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* new BigNumber(823456789123456.3)
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* // 'Error: Not a base 2 number'
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* new BigNumber(9, 2)
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* ```
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*
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* @param n A numeric value.
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* @param base The base of `n`, integer, 2 to 36 (or `ALPHABET.length`, see `ALPHABET`).
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*/
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constructor(n: BigNumber.Value, base?: number);
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/**
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* Returns a BigNumber whose value is the absolute value, i.e. the magnitude, of the value of this
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* BigNumber.
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*
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* The return value is always exact and unrounded.
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*
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* ```ts
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* x = new BigNumber(-0.8)
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* x.absoluteValue() // '0.8'
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* ```
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*/
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absoluteValue(): BigNumber;
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/**
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* Returns a BigNumber whose value is the absolute value, i.e. the magnitude, of the value of this
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* BigNumber.
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*
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* The return value is always exact and unrounded.
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*
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* ```ts
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* x = new BigNumber(-0.8)
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* x.abs() // '0.8'
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* ```
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*/
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abs(): BigNumber;
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/**
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* Returns | |
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* :-------:|:--------------------------------------------------------------|
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* 1 | If the value of this BigNumber is greater than the value of `n`
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* -1 | If the value of this BigNumber is less than the value of `n`
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* 0 | If this BigNumber and `n` have the same value
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* `null` | If the value of either this BigNumber or `n` is `NaN`
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*
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* ```ts
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*
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* x = new BigNumber(Infinity)
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* y = new BigNumber(5)
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* x.comparedTo(y) // 1
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* x.comparedTo(x.minus(1)) // 0
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* y.comparedTo(NaN) // null
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* y.comparedTo('110', 2) // -1
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* ```
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* @param n A numeric value.
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* @param [base] The base of n.
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*/
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comparedTo(n: BigNumber.Value, base?: number): number;
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|
/**
|
|
* 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: 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: 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;
|
|
|
|
/**
|
|
* 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;
|
|
|
|
/**
|
|
* 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` object.
|
|
*
|
|
* The properties of the `FORMAT` object are 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.
|
|
*
|
|
* Throws if `decimalPlaces` or `roundingMode` is invalid.
|
|
*
|
|
* ```ts
|
|
* format = {
|
|
* decimalSeparator: '.',
|
|
* groupSeparator: ',',
|
|
* groupSize: 3,
|
|
* secondaryGroupSize: 0,
|
|
* fractionGroupSeparator: ' ',
|
|
* fractionGroupSize: 0
|
|
* }
|
|
* BigNumber.config({ FORMAT: format })
|
|
*
|
|
* x = new BigNumber('123456789.123456789')
|
|
* x.toFormat() // '123,456,789.123456789'
|
|
* x.toFormat(1) // '123,456,789.1'
|
|
*
|
|
* format.groupSeparator = ' '
|
|
* format.fractionGroupSize = 5
|
|
* x.toFormat() // '123 456 789.12345 6789'
|
|
*
|
|
* BigNumber.config({
|
|
* FORMAT: {
|
|
* decimalSeparator: ',',
|
|
* groupSeparator: '.',
|
|
* groupSize: 3,
|
|
* secondaryGroupSize: 2
|
|
* }
|
|
* })
|
|
*
|
|
* x.toFormat(6) // '12.34.56.789,123'
|
|
* ```
|
|
*
|
|
* @param [decimalPlaces] Decimal places, integer, 0 to 1e+9.
|
|
* @param [roundingMode] Rounding mode, integer, 0 to 8.
|
|
*/
|
|
toFormat(decimalPlaces?: number, roundingMode?: BigNumber.RoundingMode): string;
|
|
|
|
/**
|
|
* Returns a string array 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[];
|
|
|
|
/**
|
|
* 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;
|
|
|
|
/**
|
|
* 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): boolean;
|
|
|
|
/**
|
|
*
|
|
* Returns a BigNumber whose value is the maximum of the arguments.
|
|
*
|
|
* Accepts either an argument list or an array of values.
|
|
*
|
|
* 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(arr) // '14'
|
|
* ```
|
|
*
|
|
* @param n A numeric value.
|
|
*/
|
|
static maximum(...n: BigNumber.Value[]): BigNumber;
|
|
|
|
/**
|
|
* Returns a BigNumber whose value is the maximum of the arguments.
|
|
*
|
|
* Accepts either an argument list or an array of values.
|
|
*
|
|
* 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(arr) // '14'
|
|
* ```
|
|
*
|
|
* @param n A numeric value.
|
|
*/
|
|
static max(...n: BigNumber.Value[]): BigNumber;
|
|
|
|
/**
|
|
* Returns a BigNumber whose value is the minimum of the arguments.
|
|
*
|
|
* Accepts either an argument list or an array of values.
|
|
*
|
|
* 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(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.
|
|
*
|
|
* Accepts either an argument list or an array of values.
|
|
*
|
|
* 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(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).
|
|
*
|
|
* 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;
|
|
|
|
/**
|
|
* 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;
|
|
}
|