CyberMath

A .NET library with a collection of useful data structures and extension methods, designed to simplify common mathematical and programming tasks.

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Features

CyberMath provides a rich set of tools to accelerate development, including:

Data Structures

• Matrices: A comprehensive set of matrix types.
  • Matrix<T>: A standard, fixed-size matrix.
  • DynamicMatrix<T>: A matrix that allows adding or removing rows and columns.
  • JuggedMatrix<T>: A matrix with rows that can have different lengths.
  • DynamicJuggedMatrix<T>: A jagged matrix with dynamic row and column manipulation.
• Binary Trees: A collection of binary tree implementations.
  • BinaryTree<T>: A simple binary search tree.
  • AVLBinaryTree<T>: A self-balancing AVL tree.
  • RedBlackBinaryTree<T>: A self-balancing Red-Black tree.

Equations

• QuadraticEquation: A class to solve quadratic equations of the form ax^2 + bx + c = 0.

Extension Methods

• Collections: A variety of extension methods for collections, including Swap, Shuffle, RandomItem, and Permutations.
• Strings: A set of useful string extensions, such as IsPalindrome, IsAnagramOf, WordsFrequency, and ToAlternatingCase.
• Random: Extensions for the Random class to generate numbers within a specified range (NextDouble, NextLong).
• Int32 and Int64: A wide range of extensions for 32-bit and 64-bit integers, including:
  • Number Theory: IsPrime, IsOdd, IsEven, GCD, LCM.
  • Number Manipulation: IsPalindrome, GetLength, GetDigits.
  • Conversions: ToBinary, ToHex.

Helpers

• FixExpressionConverter: A utility class to convert expressions between infix, postfix, and prefix notations.
• GenericTypesExtensions: Provides a SerializableDeepCopy method for creating a deep copy of any serializable object.

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Installation

You can install CyberMath via NuGet Package Manager:

PM> Install-Package CyberMath

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Usage Examples

Matrix Operations

using CyberMath.Structures.Matrices.Matrix;

var matrix = new Matrix<int>(3, 3);
matrix.FillRandomly(0, 10); // Fill with random numbers between 0 and 10

Console.WriteLine("Original Matrix:");
Console.WriteLine(matrix);

var transposed = matrix.Transpose();
Console.WriteLine("Transposed Matrix:");
Console.WriteLine(transposed);

Binary Tree

using CyberMath.Structures.BinaryTrees.BinaryTree;

var tree = new BinaryTree<int> { 5, 3, 8, 1, 4, 7, 9 };

Console.WriteLine($"Max value: {tree.Max()}");
Console.WriteLine($"Min value: {tree.Min()}");

Console.WriteLine("In-order traversal:");
foreach (var item in tree)
{
    Console.Write(item + " ");
}
// Output: 1 3 4 5 7 8 9

Integer Extensions

using CyberMath.Extensions;

int number = 12321;
Console.WriteLine($"{number} is a palindrome: {number.IsPalindrome()}"); // True

int a = 48, b = 18;
Console.WriteLine($"GCD of {a} and {b} is: {a.GCD(b)}"); // 6
Console.WriteLine($"LCM of {a} and {b} is: {a.LCM(b)}"); // 144

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Building from Source

To build the project from source, you will need the .NET SDK.

1. Clone the repository:

   git clone https://github.com/Jeffeek/CyberMath.git

2. Navigate to the project directory:

   cd CyberMath

3. Build the solution:

   dotnet build -c Release

Running Tests

To run the tests, navigate to the root of the project and run the following command:

dotnet test