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Advanced Python Calculator: A versatile calculator with features including basic arithmetic, advanced math functions, matrix operations, polynomial calculations, integration, differentiation, statistical analysis, and function plotting. Ideal for educational and practical use, offering a comprehensive set of tools for various mathematical needs.

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Advanced Python Calculator

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Overview

This Python calculator script is a powerful tool that supports a wide range of mathematical operations. It includes basic arithmetic calculations, advanced mathematical functions, matrix operations, polynomial calculations, integration, differentiation, statistical analysis, and function plotting. This README provides a detailed guide on the usage, features, and code structure of the calculator.

Features

  1. Basic Arithmetic Operations

    • Addition
    • Subtraction
    • Multiplication
    • Division
    • Exponentiation
  2. Advanced Mathematical Functions

    • Square Root
    • Factorial
    • Trigonometric Functions (sin, cos, tan, asin, acos, atan)
  3. Matrix Operations

    • Addition
    • Subtraction
    • Multiplication
    • Determinant Calculation
    • Matrix Inversion
    • Eigenvalues Calculation
  4. Polynomial Operations

    • Evaluation of Polynomials
    • Finding Roots of Polynomials
  5. Integration and Differentiation

    • Definite Integration of Functions
    • Differentiation of Functions
  6. Statistical Analysis

    • Mean
    • Median
    • Variance
    • Standard Deviation
  7. Function Plotting

    • Visualize Functions Using Matplotlib

Prerequisites

To run this script, you need Python and several Python libraries installed:

  • numpy
  • scipy
  • matplotlib

Install these libraries using pip:

pip install numpy scipy matplotlib
git clone https://github.com/mdriyadkhan585/Advanced_calculator
cd Advanced_calculator

How to Use

  1. Run the Script: Execute the script in your Python environment.

    python simple-calculator.py
    python level-calculator.py
    python next-level-calculator.py
    python advanced-calculator.py
    python pro-calculator.py
  2. Select an Operation: Choose from the operations listed in the menu.

  3. Provide Inputs: Follow the prompts to enter the required values.

  4. View Results: The results will be displayed based on the operation chosen.

Program Description

Basic Arithmetic Operations

  • Addition: add(x, y) - Returns the sum of x and y.
  • Subtraction: subtract(x, y) - Returns the difference between x and y.
  • Multiplication: multiply(x, y) - Returns the product of x and y.
  • Division: divide(x, y) - Returns the quotient of x divided by y, handling division by zero.
  • Exponentiation: exponent(x, y) - Returns x raised to the power of y.

Advanced Mathematical Functions

  • Square Root: square_root(x) - Computes the square root of x, with error handling for negative inputs.
  • Factorial: factorial(x) - Computes the factorial of x, with validation for non-integer and negative inputs.
  • Trigonometric Functions:
    • trig_sin(x) - Returns the sine of angle x (in degrees).
    • trig_cos(x) - Returns the cosine of angle x (in degrees).
    • trig_tan(x) - Returns the tangent of angle x (in degrees).
    • trig_asin(x) - Returns the arc sine of x (domain: [-1, 1]).
    • trig_acos(x) - Returns the arc cosine of x (domain: [-1, 1]).
    • trig_atan(x) - Returns the arc tangent of x.

Matrix Operations

  • Addition: matrix_operations() - Adds two 2x2 matrices.
  • Subtraction: matrix_operations() - Subtracts one 2x2 matrix from another.
  • Multiplication: matrix_operations() - Multiplies two 2x2 matrices.
  • Determinant Calculation: matrix_operations() - Computes the determinant of a 2x2 matrix.
  • Matrix Inversion: matrix_operations() - Computes the inverse of a 2x2 matrix, with error handling for singular matrices.
  • Eigenvalues Calculation: matrix_operations() - Finds the eigenvalues of a 2x2 matrix.

Polynomial Operations

  • Evaluation: polynomial_operations() - Evaluates a polynomial at a given value of x.
  • Finding Roots: polynomial_operations() - Finds the roots of a polynomial using its coefficients.

Integration and Differentiation

  • Integration: function_integration() - Computes the definite integral of a user-defined function over a specified interval.
  • Differentiation: function_differentiation() - Computes the derivative of a user-defined function.

Statistical Analysis

  • Mean: statistical_operations() - Calculates the mean of a dataset.
  • Median: statistical_operations() - Calculates the median of a dataset.
  • Variance: statistical_operations() - Calculates the variance of a dataset.
  • Standard Deviation: statistical_operations() - Calculates the standard deviation of a dataset.

Function Plotting

  • Plotting: plot_function() - Plots a user-defined mathematical function over a specified range.

Code Structure

  1. Function Definitions: Contains functions for all the operations mentioned.
  2. Menu System: Provides an interactive menu for users to select operations.
  3. Input Handling: Prompts the user for inputs and processes them accordingly.
  4. Error Handling: Includes error handling for invalid inputs and mathematical errors.
  5. Plotting: Uses matplotlib to generate plots for visual representation of functions.

Example

  1. Run the script using python calculator.py.
  2. Choose an Operation: For example, select 1 for addition.
  3. Enter Numbers: Provide two numbers when prompted.
  4. View Results: The result of the addition will be displayed.

Contribution

Contributions are welcome! If you have suggestions for new features or improvements, please open an issue or submit a pull request.

Acknowledgements

  • NumPy: For numerical computations.
  • SciPy: For scientific and technical computing.
  • Matplotlib: For plotting and visualization.

Instructions:

  • Installation: Ensure that numpy, scipy, and matplotlib are installed in your Python environment.
  • Running the Script: Save the Python code in a file named calculator.py and execute it.
  • Using the Calculator: Follow the interactive prompts to perform various mathematical operations.

About

Advanced Python Calculator: A versatile calculator with features including basic arithmetic, advanced math functions, matrix operations, polynomial calculations, integration, differentiation, statistical analysis, and function plotting. Ideal for educational and practical use, offering a comprehensive set of tools for various mathematical needs.

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