/**
* This module provides utility functions and type class instances for working with the `bigint` type in TypeScript.
* It includes functions for basic arithmetic operations, as well as type class instances for
* `Equivalence` and `Order`.
*
* @module BigInt
* @since 2.0.0
* @see {@link module:BigDecimal} for more similar operations on `BigDecimal` types
* @see {@link module:Number} for more similar operations on `number` types
*/
import * as equivalence from "./Equivalence.js";
import * as Option from "./Option.js";
import * as order from "./Order.js";
import type { Ordering } from "./Ordering.js";
/**
* Tests if a value is a `bigint`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { isBigInt } from "effect/BigInt"
*
* assert.deepStrictEqual(isBigInt(1n), true)
* assert.deepStrictEqual(isBigInt(1), false)
* ```
*
* @category guards
* @since 2.0.0
*/
export declare const isBigInt: (u: unknown) => u is bigint;
/**
* Provides an addition operation on `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { sum } from "effect/BigInt"
*
* assert.deepStrictEqual(sum(2n, 3n), 5n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const sum: {
/**
* Provides an addition operation on `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { sum } from "effect/BigInt"
*
* assert.deepStrictEqual(sum(2n, 3n), 5n)
* ```
*
* @category math
* @since 2.0.0
*/
(that: bigint): (self: bigint) => bigint;
/**
* Provides an addition operation on `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { sum } from "effect/BigInt"
*
* assert.deepStrictEqual(sum(2n, 3n), 5n)
* ```
*
* @category math
* @since 2.0.0
*/
(self: bigint, that: bigint): bigint;
};
/**
* Provides a multiplication operation on `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { multiply } from "effect/BigInt"
*
* assert.deepStrictEqual(multiply(2n, 3n), 6n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const multiply: {
/**
* Provides a multiplication operation on `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { multiply } from "effect/BigInt"
*
* assert.deepStrictEqual(multiply(2n, 3n), 6n)
* ```
*
* @category math
* @since 2.0.0
*/
(that: bigint): (self: bigint) => bigint;
/**
* Provides a multiplication operation on `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { multiply } from "effect/BigInt"
*
* assert.deepStrictEqual(multiply(2n, 3n), 6n)
* ```
*
* @category math
* @since 2.0.0
*/
(self: bigint, that: bigint): bigint;
};
/**
* Provides a subtraction operation on `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { subtract } from "effect/BigInt"
*
* assert.deepStrictEqual(subtract(2n, 3n), -1n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const subtract: {
/**
* Provides a subtraction operation on `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { subtract } from "effect/BigInt"
*
* assert.deepStrictEqual(subtract(2n, 3n), -1n)
* ```
*
* @category math
* @since 2.0.0
*/
(that: bigint): (self: bigint) => bigint;
/**
* Provides a subtraction operation on `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { subtract } from "effect/BigInt"
*
* assert.deepStrictEqual(subtract(2n, 3n), -1n)
* ```
*
* @category math
* @since 2.0.0
*/
(self: bigint, that: bigint): bigint;
};
/**
* Provides a division operation on `bigint`s.
*
* If the dividend is not a multiple of the divisor the result will be a `bigint` value
* which represents the integer division rounded down to the nearest integer.
*
* Returns `None` if the divisor is `0n`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt, Option } from "effect"
*
* assert.deepStrictEqual(BigInt.divide(6n, 3n), Option.some(2n))
* assert.deepStrictEqual(BigInt.divide(6n, 0n), Option.none())
* ```
*
* @category math
* @since 2.0.0
*/
export declare const divide: {
/**
* Provides a division operation on `bigint`s.
*
* If the dividend is not a multiple of the divisor the result will be a `bigint` value
* which represents the integer division rounded down to the nearest integer.
*
* Returns `None` if the divisor is `0n`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt, Option } from "effect"
*
* assert.deepStrictEqual(BigInt.divide(6n, 3n), Option.some(2n))
* assert.deepStrictEqual(BigInt.divide(6n, 0n), Option.none())
* ```
*
* @category math
* @since 2.0.0
*/
(that: bigint): (self: bigint) => Option.Option<bigint>;
/**
* Provides a division operation on `bigint`s.
*
* If the dividend is not a multiple of the divisor the result will be a `bigint` value
* which represents the integer division rounded down to the nearest integer.
*
* Returns `None` if the divisor is `0n`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt, Option } from "effect"
*
* assert.deepStrictEqual(BigInt.divide(6n, 3n), Option.some(2n))
* assert.deepStrictEqual(BigInt.divide(6n, 0n), Option.none())
* ```
*
* @category math
* @since 2.0.0
*/
(self: bigint, that: bigint): Option.Option<bigint>;
};
/**
* Provides a division operation on `bigint`s.
*
* If the dividend is not a multiple of the divisor the result will be a `bigint` value
* which represents the integer division rounded down to the nearest integer.
*
* Throws a `RangeError` if the divisor is `0n`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { unsafeDivide } from "effect/BigInt"
*
* assert.deepStrictEqual(unsafeDivide(6n, 3n), 2n)
* assert.deepStrictEqual(unsafeDivide(6n, 4n), 1n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const unsafeDivide: {
/**
* Provides a division operation on `bigint`s.
*
* If the dividend is not a multiple of the divisor the result will be a `bigint` value
* which represents the integer division rounded down to the nearest integer.
*
* Throws a `RangeError` if the divisor is `0n`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { unsafeDivide } from "effect/BigInt"
*
* assert.deepStrictEqual(unsafeDivide(6n, 3n), 2n)
* assert.deepStrictEqual(unsafeDivide(6n, 4n), 1n)
* ```
*
* @category math
* @since 2.0.0
*/
(that: bigint): (self: bigint) => bigint;
/**
* Provides a division operation on `bigint`s.
*
* If the dividend is not a multiple of the divisor the result will be a `bigint` value
* which represents the integer division rounded down to the nearest integer.
*
* Throws a `RangeError` if the divisor is `0n`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { unsafeDivide } from "effect/BigInt"
*
* assert.deepStrictEqual(unsafeDivide(6n, 3n), 2n)
* assert.deepStrictEqual(unsafeDivide(6n, 4n), 1n)
* ```
*
* @category math
* @since 2.0.0
*/
(self: bigint, that: bigint): bigint;
};
/**
* Returns the result of adding `1n` to a given number.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { increment } from "effect/BigInt"
*
* assert.deepStrictEqual(increment(2n), 3n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const increment: (n: bigint) => bigint;
/**
* Decrements a number by `1n`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { decrement } from "effect/BigInt"
*
* assert.deepStrictEqual(decrement(3n), 2n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const decrement: (n: bigint) => bigint;
/**
* @category instances
* @since 2.0.0
*/
export declare const Equivalence: equivalence.Equivalence<bigint>;
/**
* @category instances
* @since 2.0.0
*/
export declare const Order: order.Order<bigint>;
/**
* Returns `true` if the first argument is less than the second, otherwise `false`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { lessThan } from "effect/BigInt"
*
* assert.deepStrictEqual(lessThan(2n, 3n), true)
* assert.deepStrictEqual(lessThan(3n, 3n), false)
* assert.deepStrictEqual(lessThan(4n, 3n), false)
* ```
*
* @category predicates
* @since 2.0.0
*/
export declare const lessThan: {
/**
* Returns `true` if the first argument is less than the second, otherwise `false`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { lessThan } from "effect/BigInt"
*
* assert.deepStrictEqual(lessThan(2n, 3n), true)
* assert.deepStrictEqual(lessThan(3n, 3n), false)
* assert.deepStrictEqual(lessThan(4n, 3n), false)
* ```
*
* @category predicates
* @since 2.0.0
*/
(that: bigint): (self: bigint) => boolean;
/**
* Returns `true` if the first argument is less than the second, otherwise `false`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { lessThan } from "effect/BigInt"
*
* assert.deepStrictEqual(lessThan(2n, 3n), true)
* assert.deepStrictEqual(lessThan(3n, 3n), false)
* assert.deepStrictEqual(lessThan(4n, 3n), false)
* ```
*
* @category predicates
* @since 2.0.0
*/
(self: bigint, that: bigint): boolean;
};
/**
* Returns a function that checks if a given `bigint` is less than or equal to the provided one.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { lessThanOrEqualTo } from "effect/BigInt"
*
* assert.deepStrictEqual(lessThanOrEqualTo(2n, 3n), true)
* assert.deepStrictEqual(lessThanOrEqualTo(3n, 3n), true)
* assert.deepStrictEqual(lessThanOrEqualTo(4n, 3n), false)
* ```
*
* @category predicates
* @since 2.0.0
*/
export declare const lessThanOrEqualTo: {
/**
* Returns a function that checks if a given `bigint` is less than or equal to the provided one.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { lessThanOrEqualTo } from "effect/BigInt"
*
* assert.deepStrictEqual(lessThanOrEqualTo(2n, 3n), true)
* assert.deepStrictEqual(lessThanOrEqualTo(3n, 3n), true)
* assert.deepStrictEqual(lessThanOrEqualTo(4n, 3n), false)
* ```
*
* @category predicates
* @since 2.0.0
*/
(that: bigint): (self: bigint) => boolean;
/**
* Returns a function that checks if a given `bigint` is less than or equal to the provided one.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { lessThanOrEqualTo } from "effect/BigInt"
*
* assert.deepStrictEqual(lessThanOrEqualTo(2n, 3n), true)
* assert.deepStrictEqual(lessThanOrEqualTo(3n, 3n), true)
* assert.deepStrictEqual(lessThanOrEqualTo(4n, 3n), false)
* ```
*
* @category predicates
* @since 2.0.0
*/
(self: bigint, that: bigint): boolean;
};
/**
* Returns `true` if the first argument is greater than the second, otherwise `false`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { greaterThan } from "effect/BigInt"
*
* assert.deepStrictEqual(greaterThan(2n, 3n), false)
* assert.deepStrictEqual(greaterThan(3n, 3n), false)
* assert.deepStrictEqual(greaterThan(4n, 3n), true)
* ```
*
* @category predicates
* @since 2.0.0
*/
export declare const greaterThan: {
/**
* Returns `true` if the first argument is greater than the second, otherwise `false`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { greaterThan } from "effect/BigInt"
*
* assert.deepStrictEqual(greaterThan(2n, 3n), false)
* assert.deepStrictEqual(greaterThan(3n, 3n), false)
* assert.deepStrictEqual(greaterThan(4n, 3n), true)
* ```
*
* @category predicates
* @since 2.0.0
*/
(that: bigint): (self: bigint) => boolean;
/**
* Returns `true` if the first argument is greater than the second, otherwise `false`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { greaterThan } from "effect/BigInt"
*
* assert.deepStrictEqual(greaterThan(2n, 3n), false)
* assert.deepStrictEqual(greaterThan(3n, 3n), false)
* assert.deepStrictEqual(greaterThan(4n, 3n), true)
* ```
*
* @category predicates
* @since 2.0.0
*/
(self: bigint, that: bigint): boolean;
};
/**
* Returns a function that checks if a given `bigint` is greater than or equal to the provided one.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { greaterThanOrEqualTo } from "effect/BigInt"
*
* assert.deepStrictEqual(greaterThanOrEqualTo(2n, 3n), false)
* assert.deepStrictEqual(greaterThanOrEqualTo(3n, 3n), true)
* assert.deepStrictEqual(greaterThanOrEqualTo(4n, 3n), true)
* ```
*
* @category predicates
* @since 2.0.0
*/
export declare const greaterThanOrEqualTo: {
/**
* Returns a function that checks if a given `bigint` is greater than or equal to the provided one.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { greaterThanOrEqualTo } from "effect/BigInt"
*
* assert.deepStrictEqual(greaterThanOrEqualTo(2n, 3n), false)
* assert.deepStrictEqual(greaterThanOrEqualTo(3n, 3n), true)
* assert.deepStrictEqual(greaterThanOrEqualTo(4n, 3n), true)
* ```
*
* @category predicates
* @since 2.0.0
*/
(that: bigint): (self: bigint) => boolean;
/**
* Returns a function that checks if a given `bigint` is greater than or equal to the provided one.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { greaterThanOrEqualTo } from "effect/BigInt"
*
* assert.deepStrictEqual(greaterThanOrEqualTo(2n, 3n), false)
* assert.deepStrictEqual(greaterThanOrEqualTo(3n, 3n), true)
* assert.deepStrictEqual(greaterThanOrEqualTo(4n, 3n), true)
* ```
*
* @category predicates
* @since 2.0.0
*/
(self: bigint, that: bigint): boolean;
};
/**
* Checks if a `bigint` is between a `minimum` and `maximum` value (inclusive).
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt } from "effect"
*
* const between = BigInt.between({ minimum: 0n, maximum: 5n })
*
* assert.deepStrictEqual(between(3n), true)
* assert.deepStrictEqual(between(-1n), false)
* assert.deepStrictEqual(between(6n), false)
* ```
*
* @category predicates
* @since 2.0.0
*/
export declare const between: {
/**
* Checks if a `bigint` is between a `minimum` and `maximum` value (inclusive).
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt } from "effect"
*
* const between = BigInt.between({ minimum: 0n, maximum: 5n })
*
* assert.deepStrictEqual(between(3n), true)
* assert.deepStrictEqual(between(-1n), false)
* assert.deepStrictEqual(between(6n), false)
* ```
*
* @category predicates
* @since 2.0.0
*/
(options: {
minimum: bigint;
maximum: bigint;
}): (self: bigint) => boolean;
/**
* Checks if a `bigint` is between a `minimum` and `maximum` value (inclusive).
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt } from "effect"
*
* const between = BigInt.between({ minimum: 0n, maximum: 5n })
*
* assert.deepStrictEqual(between(3n), true)
* assert.deepStrictEqual(between(-1n), false)
* assert.deepStrictEqual(between(6n), false)
* ```
*
* @category predicates
* @since 2.0.0
*/
(self: bigint, options: {
minimum: bigint;
maximum: bigint;
}): boolean;
};
/**
* Restricts the given `bigint` to be within the range specified by the `minimum` and `maximum` values.
*
* - If the `bigint` is less than the `minimum` value, the function returns the `minimum` value.
* - If the `bigint` is greater than the `maximum` value, the function returns the `maximum` value.
* - Otherwise, it returns the original `bigint`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt } from "effect"
*
* const clamp = BigInt.clamp({ minimum: 1n, maximum: 5n })
*
* assert.equal(clamp(3n), 3n)
* assert.equal(clamp(0n), 1n)
* assert.equal(clamp(6n), 5n)
* ```
*
* @since 2.0.0
*/
export declare const clamp: {
/**
* Restricts the given `bigint` to be within the range specified by the `minimum` and `maximum` values.
*
* - If the `bigint` is less than the `minimum` value, the function returns the `minimum` value.
* - If the `bigint` is greater than the `maximum` value, the function returns the `maximum` value.
* - Otherwise, it returns the original `bigint`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt } from "effect"
*
* const clamp = BigInt.clamp({ minimum: 1n, maximum: 5n })
*
* assert.equal(clamp(3n), 3n)
* assert.equal(clamp(0n), 1n)
* assert.equal(clamp(6n), 5n)
* ```
*
* @since 2.0.0
*/
(options: {
minimum: bigint;
maximum: bigint;
}): (self: bigint) => bigint;
/**
* Restricts the given `bigint` to be within the range specified by the `minimum` and `maximum` values.
*
* - If the `bigint` is less than the `minimum` value, the function returns the `minimum` value.
* - If the `bigint` is greater than the `maximum` value, the function returns the `maximum` value.
* - Otherwise, it returns the original `bigint`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt } from "effect"
*
* const clamp = BigInt.clamp({ minimum: 1n, maximum: 5n })
*
* assert.equal(clamp(3n), 3n)
* assert.equal(clamp(0n), 1n)
* assert.equal(clamp(6n), 5n)
* ```
*
* @since 2.0.0
*/
(self: bigint, options: {
minimum: bigint;
maximum: bigint;
}): bigint;
};
/**
* Returns the minimum between two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { min } from "effect/BigInt"
*
* assert.deepStrictEqual(min(2n, 3n), 2n)
* ```
*
* @since 2.0.0
*/
export declare const min: {
/**
* Returns the minimum between two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { min } from "effect/BigInt"
*
* assert.deepStrictEqual(min(2n, 3n), 2n)
* ```
*
* @since 2.0.0
*/
(that: bigint): (self: bigint) => bigint;
/**
* Returns the minimum between two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { min } from "effect/BigInt"
*
* assert.deepStrictEqual(min(2n, 3n), 2n)
* ```
*
* @since 2.0.0
*/
(self: bigint, that: bigint): bigint;
};
/**
* Returns the maximum between two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { max } from "effect/BigInt"
*
* assert.deepStrictEqual(max(2n, 3n), 3n)
* ```
*
* @since 2.0.0
*/
export declare const max: {
/**
* Returns the maximum between two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { max } from "effect/BigInt"
*
* assert.deepStrictEqual(max(2n, 3n), 3n)
* ```
*
* @since 2.0.0
*/
(that: bigint): (self: bigint) => bigint;
/**
* Returns the maximum between two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { max } from "effect/BigInt"
*
* assert.deepStrictEqual(max(2n, 3n), 3n)
* ```
*
* @since 2.0.0
*/
(self: bigint, that: bigint): bigint;
};
/**
* Determines the sign of a given `bigint`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { sign } from "effect/BigInt"
*
* assert.deepStrictEqual(sign(-5n), -1)
* assert.deepStrictEqual(sign(0n), 0)
* assert.deepStrictEqual(sign(5n), 1)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const sign: (n: bigint) => Ordering;
/**
* Determines the absolute value of a given `bigint`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { abs } from "effect/BigInt"
*
* assert.deepStrictEqual(abs(-5n), 5n)
* assert.deepStrictEqual(abs(0n), 0n)
* assert.deepStrictEqual(abs(5n), 5n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const abs: (n: bigint) => bigint;
/**
* Determines the greatest common divisor of two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { gcd } from "effect/BigInt"
*
* assert.deepStrictEqual(gcd(2n, 3n), 1n)
* assert.deepStrictEqual(gcd(2n, 4n), 2n)
* assert.deepStrictEqual(gcd(16n, 24n), 8n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const gcd: {
/**
* Determines the greatest common divisor of two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { gcd } from "effect/BigInt"
*
* assert.deepStrictEqual(gcd(2n, 3n), 1n)
* assert.deepStrictEqual(gcd(2n, 4n), 2n)
* assert.deepStrictEqual(gcd(16n, 24n), 8n)
* ```
*
* @category math
* @since 2.0.0
*/
(that: bigint): (self: bigint) => bigint;
/**
* Determines the greatest common divisor of two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { gcd } from "effect/BigInt"
*
* assert.deepStrictEqual(gcd(2n, 3n), 1n)
* assert.deepStrictEqual(gcd(2n, 4n), 2n)
* assert.deepStrictEqual(gcd(16n, 24n), 8n)
* ```
*
* @category math
* @since 2.0.0
*/
(self: bigint, that: bigint): bigint;
};
/**
* Determines the least common multiple of two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { lcm } from "effect/BigInt"
*
* assert.deepStrictEqual(lcm(2n, 3n), 6n)
* assert.deepStrictEqual(lcm(2n, 4n), 4n)
* assert.deepStrictEqual(lcm(16n, 24n), 48n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const lcm: {
/**
* Determines the least common multiple of two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { lcm } from "effect/BigInt"
*
* assert.deepStrictEqual(lcm(2n, 3n), 6n)
* assert.deepStrictEqual(lcm(2n, 4n), 4n)
* assert.deepStrictEqual(lcm(16n, 24n), 48n)
* ```
*
* @category math
* @since 2.0.0
*/
(that: bigint): (self: bigint) => bigint;
/**
* Determines the least common multiple of two `bigint`s.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { lcm } from "effect/BigInt"
*
* assert.deepStrictEqual(lcm(2n, 3n), 6n)
* assert.deepStrictEqual(lcm(2n, 4n), 4n)
* assert.deepStrictEqual(lcm(16n, 24n), 48n)
* ```
*
* @category math
* @since 2.0.0
*/
(self: bigint, that: bigint): bigint;
};
/**
* Determines the square root of a given `bigint` unsafely. Throws if the given `bigint` is negative.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { unsafeSqrt } from "effect/BigInt"
*
* assert.deepStrictEqual(unsafeSqrt(4n), 2n)
* assert.deepStrictEqual(unsafeSqrt(9n), 3n)
* assert.deepStrictEqual(unsafeSqrt(16n), 4n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const unsafeSqrt: (n: bigint) => bigint;
/**
* Determines the square root of a given `bigint` safely. Returns `none` if the given `bigint` is negative.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt, Option } from "effect"
*
* assert.deepStrictEqual(BigInt.sqrt(4n), Option.some(2n))
* assert.deepStrictEqual(BigInt.sqrt(9n), Option.some(3n))
* assert.deepStrictEqual(BigInt.sqrt(16n), Option.some(4n))
* assert.deepStrictEqual(BigInt.sqrt(-1n), Option.none())
* ```
*
* @category math
* @since 2.0.0
*/
export declare const sqrt: (n: bigint) => Option.Option<bigint>;
/**
* Takes an `Iterable` of `bigint`s and returns their sum as a single `bigint
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { sumAll } from "effect/BigInt"
*
* assert.deepStrictEqual(sumAll([2n, 3n, 4n]), 9n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const sumAll: (collection: Iterable<bigint>) => bigint;
/**
* Takes an `Iterable` of `bigint`s and returns their multiplication as a single `number`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { multiplyAll } from "effect/BigInt"
*
* assert.deepStrictEqual(multiplyAll([2n, 3n, 4n]), 24n)
* ```
*
* @category math
* @since 2.0.0
*/
export declare const multiplyAll: (collection: Iterable<bigint>) => bigint;
/**
* Takes a `bigint` and returns an `Option` of `number`.
*
* If the `bigint` is outside the safe integer range for JavaScript (`Number.MAX_SAFE_INTEGER`
* and `Number.MIN_SAFE_INTEGER`), it returns `Option.none()`. Otherwise, it converts the `bigint`
* to a number and returns `Option.some(number)`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt as BI, Option } from "effect"
*
* assert.deepStrictEqual(BI.toNumber(BigInt(42)), Option.some(42))
* assert.deepStrictEqual(BI.toNumber(BigInt(Number.MAX_SAFE_INTEGER) + BigInt(1)), Option.none())
* assert.deepStrictEqual(BI.toNumber(BigInt(Number.MIN_SAFE_INTEGER) - BigInt(1)), Option.none())
* ```
*
* @category conversions
* @since 2.0.0
*/
export declare const toNumber: (b: bigint) => Option.Option<number>;
/**
* Takes a string and returns an `Option` of `bigint`.
*
* If the string is empty or contains characters that cannot be converted into a `bigint`,
* it returns `Option.none()`, otherwise, it returns `Option.some(bigint)`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt as BI, Option } from "effect"
*
* assert.deepStrictEqual(BI.fromString("42"), Option.some(BigInt(42)))
* assert.deepStrictEqual(BI.fromString(" "), Option.none())
* assert.deepStrictEqual(BI.fromString("a"), Option.none())
* ```
*
* @category conversions
* @since 2.4.12
*/
export declare const fromString: (s: string) => Option.Option<bigint>;
/**
* Takes a number and returns an `Option` of `bigint`.
*
* If the number is outside the safe integer range for JavaScript (`Number.MAX_SAFE_INTEGER`
* and `Number.MIN_SAFE_INTEGER`), it returns `Option.none()`. Otherwise, it attempts to
* convert the number to a `bigint` and returns `Option.some(bigint)`.
*
* @example
* ```ts
* import * as assert from "node:assert"
* import { BigInt as BI, Option } from "effect"
*
* assert.deepStrictEqual(BI.fromNumber(42), Option.some(BigInt(42)))
* assert.deepStrictEqual(BI.fromNumber(Number.MAX_SAFE_INTEGER + 1), Option.none())
* assert.deepStrictEqual(BI.fromNumber(Number.MIN_SAFE_INTEGER - 1), Option.none())
* ```
*
* @category conversions
* @since 2.4.12
*/
export declare const fromNumber: (n: number) => Option.Option<bigint>;
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