MikeMcl/bignumber.js
Bignumber.js
bignumber.js ist eine JavaScript-Bibliothek für beliebige Präzision, die für mathematische Operationen mit Dezimalzahlen und Ganzzahlen entwickelt wurde, die die Grenzen von Standard-Gleitkommazahlen überschreiten. Sie fungiert als Dezimal-Arithmetik-Engine und Mathe-Bibliothek zur Berechnung von Quadratwurzeln, Potenzen und modularer Exponentiation.
Das Projekt bietet ein Dienstprogramm zur Basiskonvertierung, das numerische Werte zwischen jeder Basis von 2 bis 36 parsen und übersetzen kann. Es enthält zudem ein numerisches Formatierungstool zur Darstellung hochpräziser Werte als lokalisierte Strings mit benutzerdefinierten Trennzeichen und Notationsstilen.
Die Bibliothek deckt ein breites Spektrum an Fähigkeiten ab, einschließlich Arithmetik mit beliebiger Präzision, konfigurierbaren Rundungsregeln und hochpräzisen Wertvergleichen. Sie bietet zudem Tools für die Umwandlung von Dezimalzahlen in Brüche und kryptografisch sichere Zufallszahlengenerierung.
Features
- Arbitrary Precision Arithmetic - Executes addition, subtraction, multiplication, and division on numbers exceeding standard floating-point limits.
- Decimal Rounding Utilities - Adjusts numbers to a specific count of decimal places or significant digits using modes like floor or half-even.
- Base Conversion Utilities - Includes functions for transforming numbers between different numerical bases from 2 to 36.
- Digit-Array Arithmetic - Performs mathematical operations by manipulating individual digits in an array to simulate manual long-form calculation.
- Financial Numeric Precision - Handles money and currency values with strict rounding rules and fixed decimal precision to avoid floating-point errors.
- Exact Value Comparisons - Determines if one number is equal to, greater than, or less than another using exact high-precision comparison.
- Precision-Tolerant Comparisons - Determines equality or magnitude by comparing digit sequences and exponents instead of using native numeric operators.
- High-Precision Number Initialization - Initializes high-precision numbers from strings, native numbers, or other bases using exponential notation and separators.
- JavaScript Math Libraries - Provides a comprehensive set of functions for square roots, powers, and modular exponentiation using arbitrary precision.
- Numerical Base Conversions - Implements a comprehensive system for parsing and translating numeric values between any base from 2 to 36.
- Rounding Modes - Applies specific mathematical modes like floor or half-even to truncate high-precision results to a defined scale.
- Precision Arithmetic - Executes high-precision addition, subtraction, multiplication, and division with configurable rounding modes.
- String-Based Numeric Storage - Stores numbers as strings of digits to bypass the precision limits and overflow of native floating-point types.
- Numeric String Extractors - Extracts numeric values from strings containing non-numeric characters such as currency symbols or group separators.
- Arbitrary Base Conversion - Translates numbers between different bases from 2 to 36, including binary, octal, and hexadecimal representations.
- Base-Agnostic Numeric Parsing - Processes numeric values in any base from 2 to 36 using a customizable alphabet.
- Calculation Precision Configurations - Defines global or instance rules for decimal precision, rounding modes, and exponential notation thresholds.
- Exponential Operations - Provides calculations for square roots, powers with modular exponentiation, and modulo remainders.
- Localized Numeric Formatting - Converts large or precise numbers into localized strings with custom separators and notation styles.
- Numeric Data Formatting - Converts raw high-precision numeric values into human-readable strings using localized separators and notation styles.
- Rational Approximations - Implements algorithms to find the best rational approximation of a decimal value given a denominator limit.
- Cryptographic Random Number Generators - Produces high-entropy pseudo-random values for security-sensitive applications using cryptographically-secure methods.
- Numeric Formatting - Provides logic for applying visual separators, localized fixed-point notation, and internationalization patterns to high-precision numbers.
- Numeric and Math Utilities - Arbitrary-precision decimal and non-decimal arithmetic.
