mathlibtr 0.1.0

Advanced Python math library featuring arithmetic, calculus, trigonometry, statistics, and matrix operations built from scratch.

MathLib

A lightweight Python math utility library providing basic arithmetic, number theory, sequence operations, and mathematical helper functions.

This project is under active development and is not yet stable for production use. The library is planned to grow to 50+ functions before being published on PyPI.

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Features

Basic Operations

• Addition
• Subtraction
• Multiplication
• Division
• Modulus
• Power
• Absolute value
• Rounding (round, ceil, floor)
• Clamp (value bounding)

Statistics & Utilities

• Minimum / Maximum
• Average
• Percentage calculations
• Percentage change

Number Theory

• GCD (Greatest Common Divisor)
• LCM (Least Common Multiple)
• Prime check
• Prime factorization
• Parity (Even / Odd)

Sequences

• Fibonacci (number / series)
• Range-based sum
• Range-based product

Geometry

• Distance (2D Euclidean distance)
• Hypotenuse calculation

Trigonometry (radians)

• sin, cos, tan, cot (Taylor series approximation)
• Degree ↔ Radian conversion

Mathematical Functions

• Factorial
• Square root
• Cube root
• Nth root

Advanced Mathematics

• Exponential function (exp)
• Natural logarithm (ln)
• Logarithm (log)
• Sigmoid function
• Numerical derivative (finite difference)
• Numerical integral (trapezoidal rule)

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Installation

Clone the repository:

    git clone https://github.com/andacberkaye/MathLib
    cd MathLib

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Import

Import the module

    from Core import transactions as ts

Usage Examples

Basic Operations

    ts.add(1, 2, 3)
    ts.sub(10, 3, 2)
    ts.multi(2, 3, 4)
    ts.division(10, 2)

Advanced Math Functions

    ts.round_number(3.6)
    ts.ceil_number(3.1)
    ts.floor_number(3.9)

    ts.cube_root(27)
    ts.nth_root(16, 4)

    ts.percentage(200, 15)

    ts.sin(0)
    ts.cos(1.5708)
    ts.tan(0.7854)
    ts.cot(0.7854)
    ts.degrees_to_radians(180)
    ts.radians_to_degrees(3.14159)

    ts.hypotenuse(3, 4)

    ts.exp(1)
    ts.ln(2.71828)
    ts.log(8, 2)

    ts.sigmoid(0)

    ts.derivative(lambda x: x**2, 3)
    ts.integral(lambda x: x**2, 0, 1)

    ts.distance_2d(0, 0, 3, 4)
    ts.clamp(150, 0, 100)   

Number Theory

    ts.gcd(60, 36)
    ts.lcm(12, 18)
    ts.prime_factors(84)
    ts.is_prime(13)

Fibonacci

    ts.fibonacci(6, "series")
    ts.fibonacci(6, "number")   

Range Operations

    ts.add_range(1, 5)
    ts.product_range(1, 5)

Square Roots

    ts.sqrt(16)

Basic Operations

    from Core import transactions

Roadmap

• Expand to 50+ functions
• Add vector and matrix operations
• Improve numerical stability (adaptive precision methods)
• Add unit tests (pytest)
• Optimize factorial and series computations
• Add error handling improvements
• Prepare PyPI release
• Add documentation site (docs-style)

Notes

• Division by zero raises errors
• Some functions require at least one argument
• Floating point precision may affect results
• Trigonometric functions use Taylor series approximation
• Logarithm and exponential functions use numerical approximations
• Results may slightly differ from Python's math module

Status

Under active development (experimental)

Author

Python math utilities project focused on clean code and modular design.

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