// 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;
}