.

Body.java

@@ -2,7 +2,7 @@
 
 public class Body {
 
-    public static final double G = 6.673e-11;
+    public static final double G = 6.673e-5;
     private double mass;
     private double px;
     private double py;
@@ -50,33 +50,35 @@ public class Body {
         double m1 = this.getMass();
         double m2 = otherBody.getMass();
 
-        double force = G * ((m1 * m2) / distance);
+        double force = G * ((m1 * m2) / (distance * distance));
 
         return force;
     }
 
+    public double getAngle(Body otherBody){
+
+        double delta_x = otherBody.getXpos() - this.getXpos();
+        double delta_y = otherBody.getYpos() - this.getYpos();
+        double theta_radians = Math.atan2(delta_y, delta_x);
+
+        return theta_radians;
+    }
+
     public double getXforce(Body otherBody){
 
-        double distance = otherBody.getXpos() - this.getXpos();
+        double scalarForce = this.getForceScalar(otherBody);
-        double m1 = this.getMass();
+        double angleDegrees = this.getAngle(otherBody);
-        double m2 = otherBody.getMass();
+        double returnDouble = scalarForce * Math.cos(angleDegrees);
-
+        return returnDouble;
-        double force = G * ((m1 * m2) / distance);
-
-        return force;
-
 
     }
 
     public double getYforce(Body otherBody){
 
-        double distance = otherBody.getYpos() - this.getYpos();
+        double scalarForce = this.getForceScalar(otherBody);
-        double m1 = this.getMass();
+        double angleDegrees = this.getAngle(otherBody);
-        double m2 = otherBody.getMass();
+        double returnDouble = scalarForce * Math.sin(angleDegrees);
-
+        return returnDouble;
-        double force = G * ((m1 * m2) / distance);
-
-        return force;
     }
 
     public void calcNetForce(Body[] bodies){
@@ -94,12 +96,15 @@ public class Body {
     }
 
     public void updateVelocity(double timeslice){
-        // TODO: Implament updateVelocity
 
+        this.vx = this.vx + ((this.fx / this.mass) * timeslice);
+        this.vy = this.vy + ((this.fy / this.mass) * timeslice);
     }
 
     public void updatePosition(double timeslice){
-        // TODO: Implament updatePosition
+
+        this.px = this.px + (this.vx * timeslice);
+        this.py = this.py + (this.vy * timeslice);
 
     }
 

Canvas.java

@@ -0,0 +1,77 @@
+// A wrapper class for the buffered image object that adds functionality to 
+// draw shapes.
+import java.awt.image.*;
+import javax.swing.*;
+import java.awt.*;
+
+
+public class Canvas {
+    int height;
+    int width;
+    BufferedImage image;
+    private static JFrame frame;
+    private static JLabel label;
+
+    public static void main(String[] args){
+        Canvas test = new Canvas(500, 500, 255, 255, 255, 255);
+        int radius = 100;
+        int x = 250;
+        int y = 250;
+        int a = 255;
+
+        for(int i = 0; i < 50000; i++){
+            int r = (int) (Math.random() * 256);
+            int g = (int) (Math.random() * 256);
+            int b = (int) (Math.random() * 256);
+            test.drawSquare(radius, x, y, r, g, b, a);
+            test.display();
+        }
+    }
+
+    public Canvas(int height, int width, int r, int g, int b, int a){
+        this.height = height;
+        this.width = width;
+        this.image = new BufferedImage(height, width, BufferedImage.TYPE_INT_ARGB);
+    }
+
+    public void display(){
+        if(frame==null){
+            frame=new JFrame();
+            frame.setTitle("stained_image");
+            frame.setSize(image.getWidth(), image.getHeight());
+            frame.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);
+            label=new JLabel();
+            label.setIcon(new ImageIcon(image));
+            frame.getContentPane().add(label,BorderLayout.CENTER);
+            frame.setLocationRelativeTo(null);
+            frame.pack();
+            frame.setVisible(true);
+        }else label.setIcon(new ImageIcon(this.image));
+    }
+
+    public void setPixel(int x, int y, int r, int g, int b, int a){
+        int p = (a<<24) | (r<<16) | (g<<8) | b;
+        this.image.setRGB(x, y, p);
+    }
+
+    public void drawSquare(int radius, int x, int y, int r, int g, int b, int a){
+        for(int sign = 0; sign < 4; sign ++){
+            for(int offsetY = 0; offsetY < radius; offsetY ++){
+                for(int offsetX = 0; offsetX < radius; offsetX ++ ){
+                    int xPoint = offsetX;
+                    int yPoint = offsetY;
+                    switch(sign){
+                        case 0: xPoint = xPoint * - 1;
+                                break;
+                        case 1: yPoint = yPoint * -1;
+                                break;
+                        case 2: xPoint = xPoint * -1;
+                                yPoint = yPoint * -1;
+                                break;
+                    }
+                    this.setPixel(x + xPoint, y + yPoint, r, g, b, a);
+                }
+            }
+        }
+    }
+}

ImageProcessing.java

@@ -0,0 +1,41 @@
+import java.awt.image.*;
+import javax.swing.*;
+import java.awt.*;
+
+public class ImageProcessing {
+    private static JFrame frame;
+    private static JLabel label;
+
+
+    public static void main(String[] args){
+
+    }
+
+    
+    public static void display(BufferedImage image){
+        if(frame==null){
+            frame=new JFrame();
+            frame.setTitle("stained_image");
+            frame.setSize(image.getWidth(), image.getHeight());
+            frame.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);
+            label=new JLabel();
+            label.setIcon(new ImageIcon(image));
+            frame.getContentPane().add(label,BorderLayout.CENTER);
+            frame.setLocationRelativeTo(null);
+            frame.pack();
+            frame.setVisible(true);
+        }else label.setIcon(new ImageIcon(image));
+    }
+
+    public static BufferedImage resize(BufferedImage img, int newW, int newH) { 
+        Image tmp = img.getScaledInstance(newW, newH, Image.SCALE_SMOOTH);
+        BufferedImage dimg = new BufferedImage(newW, newH, BufferedImage.TYPE_INT_ARGB);
+    
+        Graphics2D g2d = dimg.createGraphics();
+        g2d.drawImage(tmp, 0, 0, null);
+        g2d.dispose();
+    
+        return dimg;
+    }
+
+}

Space.java

@@ -1,17 +1,21 @@
+import java.awt.image.*;
+
 public class Space {
 
-    Body[] bodies;
+    Body[] bodies;                  // List of body objects that make up the simulation
-    double height;
+    double height;                  // The height of the spacial region being simulated
-    double width;
+    double width;                   // The width of the spacial region being simulated
+    double timeslice;               // The time in sections between each tick of the simulation
 
-    public Space(Body[] bodies, double height, double width){
+    public Space(Body[] bodies, int height, int width, double timeslice){
 
         this.bodies = bodies;
         this.height = height;
         this.width = width;
+        this.timeslice = timeslice;
     }
 
-    public void calculateForces(){
+    public void updateForces(){
 
         //double runningTotal = 0;
         for(int i = 0; i < this.bodies.length; i ++){
@@ -19,32 +23,103 @@ public class Space {
         }
     }
 
+    public void updateVelocities(){
+        for(int i = 0; i < this.bodies.length; i ++){
+            this.bodies[i].updateVelocity(this.timeslice);
+        }
+    }
+
+    public void updatePositions(){
+        for(int i = 0; i < this.bodies.length; i ++){
+            this.bodies[i].updatePosition(this.timeslice);
+        }
+    }
+
+    public void draw(){
+
+        Canvas canvas = new Canvas( (int) this.height, (int) this.width, 255,255,255,255);
+        for(int i = 0; i < this.bodies.length; i ++){
+            // switch(i){
+            //     case 0: canvas.drawSquare(5, (int) this.bodies[i].getXpos(), (int) this.bodies[i].getYpos(), 0, 0, 0, 255);
+            //     case 1: canvas.drawSquare(5, (int) this.bodies[i].getXpos(), (int) this.bodies[i].getYpos(), 255, 0, 0, 255);
+            //     case 2: canvas.drawSquare(5, (int) this.bodies[i].getXpos(), (int) this.bodies[i].getYpos(), 0, 0, 255, 255);
+            //     case 3: canvas.drawSquare(5, (int) this.bodies[i].getXpos(), (int) this.bodies[i].getYpos(), 0, 255, 0, 255);
+            // }
+            canvas.drawSquare(5, (int) this.bodies[i].getXpos(), (int) this.bodies[i].getYpos(), 0, 0, 0, 255);
+            
+        }
+        canvas.display();
+    }
+
     public static void main(String args[]){
 
-        Body testBody = new Body(15000, 0, 0, 10, 10);
+        Body testBody = new Body(2000000, 375, 375, 0, 0);
-        Body testBody2 = new Body(27000, 2, 1, 10, 10);
+        Body testBody2 = new Body(2, 500, 400, 0, -.5);
-        Body testBody3 = new Body(29530, 4, 2, 10, 10);
+        Body testBody3 = new Body(2, 200, 400, 0, .5);
-        Body testBody4 = new Body(29530000, -4, 4, 10, 10);
+        Body testBody4 = new Body(2, 200, 500, .5, 0);
-        Body[] bodies = new Body[4];
+        Body testBody5 = new Body(2, 200, 200, -.5, 0);
+        Body[] bodies = new Body[5];
         bodies[0] = testBody;
         bodies[1] = testBody2;
         bodies[2] = testBody3;
         bodies[3] = testBody4;
+        bodies[4] = testBody5;
 
-        Space space = new Space(bodies, 500, 500);
+        Space space = new Space(bodies, 750, 750, .02);
-        space.calculateForces();
 
-        System.out.println(space.bodies[0].getNetXforce());
+        while(true){
-        System.out.println(space.bodies[0].getNetYforce());
+            space.updateForces();
+            space.updateVelocities();
+            space.updatePositions();
+            //System.out.println(space);
+            space.draw();
+        }
         
-        System.out.println(space.bodies[1].getNetXforce());
+    }
-        System.out.println(space.bodies[1].getNetYforce());
 
-        System.out.println(space.bodies[2].getNetXforce());
+    @Override
-        System.out.println(space.bodies[2].getNetYforce());
+    public String toString() {
+        String returnString = String.format("Width: " + this.width + " Height: " + this.height + "\n\n\n");
+        for(int i = 0; i < this.bodies.length; i ++){
+            int b = i +1;
+            returnString += String.format("Body #" + b + "\n\n");
+            returnString += String.format("Position: X = " + this.bodies[i].getXpos() + " ");
+            returnString += String.format("Position: Y = " + this.bodies[i].getYpos() + "\n");
+            returnString += String.format("Velosity: X = " + this.bodies[i].getXvelo() + " ");
+            returnString += String.format("Velosity: Y = " + this.bodies[i].getYvelo() + "\n\n");
 
-        System.out.println(space.bodies[3].getNetXforce());
+        }
-        System.out.println(space.bodies[3].getNetYforce());
+
+        return returnString;
 
     }
 }
+
+
+
+
+// public BufferedImage generateImage(){
+
+    //     BufferedImage img = new BufferedImage((int)this.height, (int)this.width, BufferedImage.TYPE_INT_ARGB);
+
+    //     for(int y = 0; y < this.height; y ++){
+    //         for (int x = 0; x < this.width; x ++){
+    //             for (int body = 0; body < this.bodies.length; body ++){
+    //                 if((int)this.bodies[body].getXpos() == x){
+    //                     if((int) this.bodies[body].getYpos() == y){
+    //                         int a = 255;
+    //                         int r = 0;
+    //                         int g = 0;
+    //                         int b = 0;
+
+    //                         int p = (a<<24) | (r<<16) | (g<<8) | b;
+
+    //                         img.setRGB(x, y, p);
+    //                     }
+    //                 }
+    //             }
+    //         }
+    //     }
+
+    //     return img;
+    // }

Test.java

@@ -0,0 +1,59 @@
+import java.awt.*;
+import java.awt.image.*;
+import javax.swing.*;
+
+public class Test {
+    public static void main(String[] args){
+
+        for(int i = 0; i < 30; i ++){
+            display(resize(getRandomFrame(),500,500));
+        }
+
+        
+    }
+
+    private static JFrame frame;
+    private static JLabel label;
+    public static void display(BufferedImage image){
+        if(frame==null){
+            frame=new JFrame();
+            frame.setTitle("stained_image");
+            frame.setSize(image.getWidth(), image.getHeight());
+            frame.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);
+            label=new JLabel();
+            label.setIcon(new ImageIcon(image));
+            frame.getContentPane().add(label,BorderLayout.CENTER);
+            frame.setLocationRelativeTo(null);
+            frame.pack();
+            frame.setVisible(true);
+        }else label.setIcon(new ImageIcon(image));
+        }
+
+    public static BufferedImage getRandomFrame(){
+        BufferedImage img = new BufferedImage(50, 50, BufferedImage.TYPE_INT_ARGB);
+
+        for(int y = 0; y < 50; y ++){
+            for(int x = 0; x < 50; x ++){
+                int a = 255;
+                int r = (int) (Math.random() * 256);
+                int g = (int) (Math.random() * 256);
+                int b = (int) (Math.random() * 256);
+
+                int p = (a<<24) | (r<<16) | (g<<8) | b;
+
+                img.setRGB(x, y, p);
+            }
+        }
+        return img;
+    }
+    public static BufferedImage resize(BufferedImage img, int newW, int newH) { 
+        Image tmp = img.getScaledInstance(newW, newH, Image.SCALE_SMOOTH);
+        BufferedImage dimg = new BufferedImage(newW, newH, BufferedImage.TYPE_INT_ARGB);
+    
+        Graphics2D g2d = dimg.createGraphics();
+        g2d.drawImage(tmp, 0, 0, null);
+        g2d.dispose();
+    
+        return dimg;
+    }
+}