🔢 biggest

Tiny 2kb, zero deps, infinite precision: Biggest for all your big integer + big decimal needs.

Biggest is a Lightweight, Zero Dependency JavaScript library for safe and precise arithmetic operations on Big Integer + Big Decimal. It excels at handling both Big Decimal and Big Integer computations with ease. 🧮

Features 🌟

• 🔢 Complete Big Number Suite: Basic arithmetic (add, subtract, multiply, divide, abs)
• 📊 Advanced Comparisons: compare, min, max, equality checks
• 🔄 Rounding Operations: floor, ceil, round, truncate with custom precision
• ⚡ Power Operations: exponentiation, square root, nth root calculations
• 🧮 Modular Arithmetic: mod, gcd, lcm with proper mathematical semantics
• 🎲 Combinatorics: factorial, combinations, permutations for large numbers
• 🔒 Zero Dependencies: Pure string-based implementation, no external libraries
• 🪶 Lightweight: Only 2kb in size
• 💻 Full TypeScript Support: Complete type definitions included
• 🎯 Infinite Precision: Handle arbitrarily large integers and precise decimals
• 🔀 Seamless Integration: Works with both Big Decimal and Big Number operations

Installation 📥

npm install biggest

Usage 🚀

Basic Arithmetic

import { add, subtract, multiply, divide } from "biggest";

console.log(add("10000000000000000000000", "0.00000000005"));
// '10000000000000000000000.00000000005'

console.log(subtract("-9999999999999999999999.9", "0.1"));
// '-10000000000000000000000'

console.log(multiply("123456789123456789", "0.000000001"));
// '123456789.123456789'

console.log(divide("1000000000000000000000", "0.1"));
// '10000000000000000000000'

Advanced Operations

import {
  compare,
  min,
  max,
  floor,
  ceil,
  round,
  pow,
  sqrt,
  nthRoot,
  mod,
  gcd,
  lcm,
  factorial,
} from "biggest";

// Comparison operations
console.log(compare("123.456", "123.457")); // -1 (less than)
console.log(min("999999999999999999999", "1000000000000000000000")); // '999999999999999999999'
console.log(max("5.67", "5.68", "5.69")); // '5.69'

// Rounding operations
console.log(floor("5.99")); // '5'
console.log(ceil("5.01")); // '6'
console.log(round("5.5")); // '6'

// Power operations
console.log(pow("2", "100")); // '1267650600228229401496703205376'
console.log(sqrt("2")); // '1.41421356237309504880'
console.log(nthRoot("27", "3")); // '3'

// Modular arithmetic
console.log(mod("17", "5")); // '2'
console.log(gcd("48", "18")); // '6'
console.log(lcm("12", "18")); // '36'

// Factorial and combinatorics
console.log(factorial("10")); // '3628800'

API 📚

Basic Arithmetic Operations

add(left: string, right: string): string

Adds two numbers represented as strings.

subtract(left: string, right: string): string

Subtracts the second number from the first, both represented as strings.

multiply(left: string, right: string): string

Multiplies two numbers represented as strings.

divide(left: string, right: string, precision: number = 20): string

Divides the first number by the second, both represented as strings. The precision parameter determines the number of decimal places in the result (default is 20).

abs(num: string): string

Returns the absolute value of a number.

Comparison Operations

compare(a: string, b: string): number

Compares two numbers. Returns:

• 1 if a > b
• -1 if a < b
• 0 if a == b

isEqual(a: string, b: string): boolean

Checks if two numbers are equal.

isGreaterThan(a: string, b: string): boolean

Checks if the first number is greater than the second.

isLessThan(a: string, b: string): boolean

Checks if the first number is less than the second.

min(a: string, b: string, ...rest: string[]): string

Returns the smallest number from the given arguments.

max(a: string, b: string, ...rest: string[]): string

Returns the largest number from the given arguments.

Rounding Operations

floor(num: string): string

Rounds down to the nearest integer (towards negative infinity).

ceil(num: string): string

Rounds up to the nearest integer (towards positive infinity).

round(num: string): string

Rounds to the nearest integer using "round half up" strategy.

truncate(num: string): string

Removes the fractional part (rounds towards zero).

roundToPrecision(num: string, precision: number): string

Rounds to the specified number of decimal places.

Power Operations

pow(base: string, exponent: string): string

Raises a number to an integer power. Supports negative exponents.

sqrt(num: string, precision: number = 20): string

Calculates the square root of a number using Newton's method.

nthRoot(radicand: string, n: string, precision: number = 20): string

Calculates the nth root of a number. The n parameter must be a positive integer.

Modular Arithmetic

mod(dividend: string, divisor: string): string

Mathematical modulo operation. The result always has the same sign as the divisor.

remainder(dividend: string, divisor: string): string

Programming remainder operation. The result has the same sign as the dividend.

gcd(a: string, b: string): string

Calculates the Greatest Common Divisor using the Euclidean algorithm.

lcm(a: string, b: string): string

Calculates the Least Common Multiple using the formula: lcm(a,b) = |a×b| / gcd(a,b).

Factorial and Combinatorics

factorial(n: string): string

Calculates the factorial of a non-negative integer (n!).

combination(n: string, r: string): string

Calculates the number of ways to choose r items from n items (nCr).

permutation(n: string, r: string): string

Calculates the number of ways to arrange r items from n items (nPr).

Why Biggest? 🤔

JavaScript's native number type has limitations when dealing with very large numbers or high precision decimals. Biggest overcomes these limitations by:

• 🔢 Representing numbers as strings, allowing for arbitrary-length integers
• 🎯 Providing high-precision decimal arithmetic
• 🐛 Avoiding floating-point errors common in JavaScript's native math operations

Performance 🚀

Biggest is optimized for performance while maintaining accuracy. It's suitable for applications requiring precise calculations with large numbers, such as financial systems, scientific computing, or cryptography.

Contributing 🤝

Contributions are welcome! Please feel free to submit a Pull Request.

License 📄

This project is licensed under the MIT License - see the LICENSE file for details.

Acknowledgments 👏

• Thanks to all contributors who have helped shape Biggest
• Inspired by the need for reliable big number arithmetic in JavaScript