MikeMcl/big.js
Big.js
big.js هي مكتبة عشرية ذات دقة تعسفية لـ JavaScript مصممة لإجراء حسابات عشرية دقيقة. توفر مجموعة من الأدوات للجمع، والطرح، والضرب، والقسمة عالية الدقة لتجنب أخطاء التقريب الشائعة في تمثيلات الفاصلة العائمة الثنائية.
تسمح المكتبة بإنشاء منشئات أرقام مخصصة لعزل إعدادات الدقة وقواعد التقريب لمجموعات مختلفة من الأرقام. تدعم الدقة العالمية القابلة للتكوين وسلوكيات تقريب محددة، مثل الاقتطاع أو التقريب للنصف الزوجي، لعمليات القسمة والأس.
يغطي سطح الإمكانيات الحساب الأساسي، ومنطق المقارنة، وحساب الجذور التربيعية والقوى الصحيحة. تتضمن أيضاً أدوات تنسيق عالية الدقة لتحويل القيم الرقمية إلى سلاسل ذات فاصلة ثابتة، أو أسية، أو ذات أرقام معنوية.
Features
- Arbitrary Precision Arithmetic - Provides a computational engine for exact decimal arithmetic to eliminate floating-point rounding errors.
- Decimal Number Validators - Ships a comprehensive set of tools for high-precision addition, subtraction, multiplication, and division.
- Decimal Rounding Utilities - Includes utilities to round numeric values to a specified number of decimal places.
- Arbitrary-Precision Division - Divides high-precision decimal numbers and rounds the result to a configurable number of decimal places.
- Calculation Precision Configurations - Provides configurable precision and rounding settings to ensure consistent results across mathematical calculations.
- Decimal String Formatting - Converts high-precision decimal values into normal or exponential notation strings.
- Decimal Arithmetic Types - Provides an exact decimal arithmetic type that maintains consistent alignment by adjusting internal exponents during operations.
- Arithmetic Operations - Provides high-precision tools for performing fundamental addition, subtraction, multiplication, and modulo operations.
- Decimal Utility Toolsets - Provides a utility for rounding, formatting, and comparing numeric values with configurable precision.
- Rounding Modes - Implements various mathematical rounding modes, including half-even and truncation, to manage precision loss.
- Fixed-Point Representations - Implements internal data structures that store numbers as large integers with a scale factor to eliminate binary floating-point errors.
- Significant Digit Formatting - Provides the ability to format decimal values rounded to a specific number of significant digits.
- Custom Constructors - Allows the creation of custom number constructors to maintain independent precision and rounding settings.
- Numeric String Parsers - Parses numeric inputs as strings to preserve exact precision before internal representation.
- Arbitrary-Precision Power and Root Calculations - Computes square roots and integer powers of high-precision decimal values.
- Decimal Square Root Calculators - Computes the square root of a decimal value with configurable rounding and precision.
- Financial Numeric Precision - Ensures the numeric precision required for currency calculations and accounting data accuracy.
- High Precision Numerical Analysis - Computes square roots and complex divisions while maintaining a strict number of decimal places.
- Integer Exponentiation - Calculates the result of a decimal value raised to a specific integer exponent.
- Numeric String Formatting - Converts numeric values into consistent strings using fixed-point or exponential notation with significant digit rules.
- Numerical Approximation Methods - Uses iterative numerical approximation methods to calculate square roots until the required precision is achieved.
- Decimal Comparison Operators - Implements comparison operators to determine if one decimal value is greater than, less than, or equal to another.
- Arithmetic Precision Isolation - Generates independent constructors to apply distinct precision and rounding rules to different number groups.
- Numeric and Math Utilities - Lightweight library for arbitrary-precision decimal arithmetic.
