MikeMcl/decimal.js
Decimal.js
decimal.js is a JavaScript arbitrary precision library designed to perform mathematical calculations without the rounding errors associated with standard floating-point numbers. It provides a high-precision math toolkit for executing basic arithmetic and advanced transcendental functions with configurable significant digits.
The library implements decimal-based math that supports various rounding modes and arbitrary precision settings. It includes a numeric string parser for converting decimal, hexadecimal, binary, and octal strings into high-precision numeric types, as well as a utility for transforming high-precision decimal values into fractions with constrained denominators.
Capability areas cover basic arithmetic, high-precision value comparison, and advanced mathematical functions such as roots, exponents, logarithms, and trigonometry. The toolkit also provides numeric output formatting and secure random number generation using system entropy.
Features
- JavaScript Math Libraries - Provides a comprehensive library for scientific and arbitrary precision mathematical calculations specifically for JavaScript environments.
- Arbitrary Precision Arithmetic - Performs addition, subtraction, multiplication, and division on high-precision numbers using integer-based math to avoid floating-point errors.
- Numeric Precision Management - Allows users to set global or instance-level rules for significant digits and rounding modes to control calculation precision.
- Text-to-Numeric Parsing - Parses strings formatted in decimal, binary, hexadecimal, or octal notations into high-precision decimal instances.
- String-to-Numeric Conversions - Converts numeric strings in decimal, binary, hexadecimal, and octal bases into high-precision numeric types.
- Rounding Utilities - Rounds numeric values to specific significant digits or decimal places using various configurable rounding modes.
- Calculation Precision Configurations - Provides global and instance-level controls for significant digits and rounding modes to manage calculation accuracy.
- Decimal Arithmetic Types - Implements a decimal-based math system that avoids binary floating-point errors via arbitrary precision and rounding modes.
- Exact Value Comparisons - Evaluates whether high-precision numbers are equal, greater than, or less than one another without rounding errors.
- Scientific Computing Libraries - Executes complex mathematical functions like logarithms, roots, and trigonometry with configurable precision in JavaScript.
- Large Integer Representations - Stores numbers as arrays of integers to bypass standard JavaScript floating-point precision limits.
- Rounding Utilities - Implements multiple mathematical rounding modes such as floor and ceiling for high-precision values.
- Transcendental Function Implementations - Computes roots, exponents, logarithms, and trigonometric values with configurable precision and rounding.
- Decimal to Fraction Converters - Transforms high-precision decimal values into fractions with options to limit the maximum denominator size.
- Iterative Refinement Methods - Calculates transcendental and root functions using repeated refinements to reach specified precision.
- Exponent Scaling - Adjusts internal exponents to a common scale before performing arithmetic operations to maintain precision.
- Numeric Data Formatting - Converts high-precision values into strings using fixed-point, exponential, or alternative base notations.
- Monetary Precision Backends - Handles currency and monetary values using high-precision decimal representation and specific rounding modes.
- Numeric and Math Utilities - Arbitrary-precision decimal type for JavaScript.
