Java Computational Utilities and 2D Plotting

Overview

This repository showcases a collection of fundamental mathematical algorithms and console-based numeric solvers, implemented in Java. The project culminates in the integration of logic with basic 2D graphics, utilizing the StdDraw library for visualizing numeric output, such as function plotting.

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Project Structure and Functionality

File Name	Primary Function	Description
Ex1_1_1.java	Prime Number Checker	Determines if a given integer is a prime number.
Ex1_1_2.java	Twin Primes Generator	Finds and lists all twin prime pairs up to a user-defined limit.
Ex1_1_3.java	Generalized Prime Pairs	Finds and lists prime pairs with a user-defined gap (m-primes) up to a limit.
Ex1_2.java	Integer Arithmetic Simulation	Implements basic arithmetic (like multiplication) using only iterative operations.
Ex1_3.java	Quadratic Equation Solver (Console)	Solves the quadratic equation $ax^2 + bx + c = 0$ and outputs the real roots (if any) to the console.
Ex1_4.java	Repeated Solver	Allows the user to solve the quadratic equation in a loop until explicitly stopped.
Ex1_5.java	Quadratic Equation Plotter	Solves the quadratic equation and uses StdDraw to plot the resulting parabola on a 2D coordinate system.
StdDraw.java	2D Drawing Library	The utility class providing drawing primitives (points, lines, shapes) for visualization.

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How to Compile and Run

To compile all source files, ensure you are in the project root directory and run the following command. Note that StdDraw must be compiled first as it is a dependency.

# Compile all Java source files
javac *.java

# Run a specific program (e.g., the Parabola Plotter)
java Ex1_5