Math Calculator Project

Overview

This project is a Swift-based application designed to calculate various combinatorial concepts such as permutations, combinations, and placements, both with and without repetition. Additionally, it includes a probability calculator based on urn models. The app provides a user-friendly interface that allows users to select the type of calculation they want to perform and input the necessary values.

Features

• Combinatorial Calculations:

  • Permutations with and without repetition.
  • Combinations with and without repetition.
  • Placements with and without repetition.

• Probability Calculations:

  • Probability calculations based on urn models, including scenarios where all extracted items are marked and where a specific number of items are marked.

• User Interface:

  • A side menu for easy navigation and selection of different calculation types.
  • Dynamic input fields that adapt based on the user's selection.

Technologies Used

• Swift: The application is developed using the Swift programming language, leveraging modern features such as async/await and Task for handling asynchronous operations efficiently.
• SwiftMath Framework: This framework is utilized for performing complex mathematical operations and ensuring accuracy in calculations.
• Side Menu: A side menu is implemented to provide a seamless and intuitive user experience, allowing users to navigate between different sections of the app easily.
• MVC Pattern: The project is structured using the Model-View-Controller (MVC) design pattern, promoting a clean separation of concerns and making the codebase more maintainable and scalable.

How to Use

1. Select Calculation Type: Start by selecting what you want to calculate – permutations, combinations, or placements. You can choose whether the calculation should be performed with or without repetition.
2. Input Parameters: Depending on your selection, input fields for n, k, m, and r will be displayed. Enter the necessary values to proceed with the calculation.
3. Compute Results: Once the values are entered, the application will compute the results using the selected formula and display the output.
4. Probability Calculations: For urn model calculations, input the total number of items (n), marked items (m), and the number of items extracted (k). The app will then calculate the probability based on the selected scenario.

Asynchronous Operations

The app uses Swift's async/await and Task to handle computations that might be resource-intensive, especially when dealing with large factorials or complex probability calculations. This approach ensures that the user interface remains responsive while computations are being processed in the background.

Conclusion

This Swift application provides a comprehensive tool for performing combinatorial and probability calculations with ease and accuracy. By leveraging modern Swift features and frameworks, the app ensures both performance and user-friendliness. Whether for educational purposes or practical use, this calculator is equipped to handle a variety of combinatorial scenarios.