How do you move an object in a wavy pattern? - java

I know the following code will move an object in a straight line. How can I get the object to travel in a wavy line? I know that something extra is required for the x variable.
public void draw(Graphics2D g)
{
g.setColor(Color.WHITE);
g.fillOval ((int) (x - r), (int) (y - r), (int)
(2 * r),
(int) (2 * r));
y++;
if (y - r > height)
y = -r;
}

Use the sine or cosine function to calculate y as a function of x.
Multiply the sine or cosine function to increase the amplitude (how high it goes)
y = 100 * sin(x) // will make it have peaks of -100 and 100
Divide the x to increase the period. (distance between peaks)
y = sin(x/2) // will make it take twice the x distance between peaks.
Something like this:
public void draw(Graphics2D g)
{
g.setColor(Color.WHITE);
g.fillOval ((int) (x - r), (int) (y - r), (int)
(2 * r),
(int) (2 * r));
x++; // Left to right movement
// Example, modify the multipliers as necessary
y = 100 * Math.sin(Math.toDegrees(x/4))
}

Including a sin(x) or cos(x) in your function will provide a regular wave pattern, irregular pattern needs a more sophisticated function

I know you already accepted an answer, but here's something to draw additional inspiration from that I whipped up...
package wavy;
import java.awt.BorderLayout;
import java.awt.Color;
import java.awt.Dimension;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.util.Timer;
import java.util.TimerTask;
import javax.swing.JFrame;
import javax.swing.JPanel;
public class Wavy {
public static void main(String[] args) {
final JFrame frame = new JFrame("Wavy!");
final WavyPanel wp = new WavyPanel();
frame.getContentPane().add(wp, BorderLayout.CENTER);
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
final Ticker t = new Ticker(wp);
final Repainter r = new Repainter(wp);
frame.pack();
frame.setVisible(true);
final Timer tickTimer = new Timer();
final Timer paintTimer = new Timer();
paintTimer.schedule(r, 1000, 50);
tickTimer.schedule(t, 1000, 10);
}
private static class WavyPanel extends JPanel {
private final Dimension size = new Dimension(640, 480);
private int amplitude = 50;
private int frequency = 5;
private int x = 0;
private double y = size.height / 2;
private int yBase = 0;
WavyPanel() {
super(true);
}
#Override
protected void paintComponent(final Graphics g) {
final Graphics2D g2 = (Graphics2D)g;
g2.setColor(Color.WHITE);
g2.fillRect(0, 0, size.width, size.height);
g2.setColor(Color.BLACK);
g2.fillOval(x, (int)y, 30, 30);
}
#Override
public Dimension getPreferredSize() {
return size;
}
#Override
public Dimension getMinimumSize() {
return size;
}
#Override
public Dimension getMaximumSize() {
return size;
}
public void tick() {
//Move a pixel to the right; loop over to the left when reaching edge
x = (++x) % size.width;
//Length of one full wave = panel width divided by frequency
final int waveLength = size.width / frequency;
//Incrementing yBase; capping off at wavelength
yBase = (++yBase) % waveLength;
//Normalizing to [0..1]
final double normalized = (double)yBase / (double)waveLength;
//Full wave at 2*pi, means...
final double radians = normalized * Math.PI * 2;
//Getting the sine
final double sine = Math.sin(radians);
//Multiplying with amplitude, add to center position and we have our y
y = (int)(sine * amplitude) + size.height/2;
}
}
private static class Ticker extends TimerTask {
private final WavyPanel panel;
Ticker(final WavyPanel panel) {
this.panel = panel;
}
#Override
public void run() {
panel.tick();
}
}
private static class Repainter extends TimerTask {
private final WavyPanel panel;
Repainter(final WavyPanel panel) {
this.panel = panel;
}
#Override
public void run() {
panel.repaint();
}
}
}
This should run at an approximate 20 frames per second. You can increase this by setting the second argument of paintTimer.schedule(r, 1000, 50) lower. The speed of movement can be altered by lowering (speeding up) or increasing (slower) the second argument of tickTimer.schedule(t, 1000, 50).
Changing the amplitude field of WavyPanel will change how high/low the circle moves. Changing the frequency to a higher value will result in shorter waves, while a lower value will produce longer waves.
With some additional work you could add in controls to change the amplitude and frequency on-the-fly. Some additional notes:
You may wish to add some safeguard to the tick() method to make sure that when one invocation is already running, additional ones are skipped until the first one is done. Otherwise the calculations could fail for short tick intervals. A semaphore could be used here.
Since trigonometric calculations aren't exactly the cheapest, you may consider caching some results (e.g. in an array) for re-use if many similar animations are to be played or if there's a lot more drawing going on.

I hope I'm interpreting this right. Could use the sine or cosine of either your x or y coordinate. I'm not at a machine with java so I can't make an example at the moment..

You're right that you need to update both the x and y variables to get a wavy line. Here's the general strategy for a horizontal line that is wavy up and down:
Choose a function f(x) that has the shape you want. This will be used to calculate values for y. (For instance, you can use y = amplitude * Math.sin(frequency * x) to get a regular sine wave of a given amplitude and frequency.)
If necessary, write the code that implements your function.
Set x to some initial value.
In draw, before you paint the oval, calculate y = f(x);. Paint the oval and then increment x. If necessary, reset x so it stays in range.
If you want a vertical line that is wavy left and right, just reverse the roles of x and y in the above. If you want the oval to go in the reverse direction, just decrement instead of increment in step 4.

this sample is for point(Line with one length) on sinus graph and clock using.
import javax.swing.*;
import java.awt.*;
import java.awt.event.*;
public class RunSwing extends JPanel {
static int x1 = 500;
static int y1 = 500;
static int x2 = x1;
static int y2 = y1;
final static int vectorLength = 100;
final static int sinx2 = x2;
final static int siny2 = y2;
static double count = 0;
private static RunSwing run = new RunSwing();
final Timer print = new Timer(1000, new ActionListener() {
#Override
public void actionPerformed(final ActionEvent e) {
//increaseSinusGraph();
increaseClockVector();
count+=6; //for clock for 1 second
/*count++;//for sinus*/
if (count % 360 == 0)
System.out.println((count / 360) + " minute passed");
}
});
RunSwing() {
print.start();
}
public static void main(String[] args) {
JFrame frame = new JFrame("amir");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.add(run);
frame.setSize(1100, 700);
frame.setVisible(true);
}
static void increaseClockVector() {
double cos = Math.cos(Math.toRadians(count));
double sin = Math.sin(Math.toRadians(count));
y2 = siny2 + (int) (vectorLength * sin);
x2 = sinx2 + (int) (vectorLength * cos);
}
static void increaseSinusGraph() {
double sin = Math.sin(Math.toRadians(count));
y2 = siny2 + (int) (vectorLength * sin);
x2++;
}
private void createPoint(Graphics g) {
Graphics2D g2d = (Graphics2D) g;
g2d.drawLine(x2, y2, x2 + 1, y2 + 1);
}
#Override
public void paintComponent(Graphics g) {
super.paintComponent(g);
g.setColor(new Color(0, 0, 0));
g.drawLine(x1, y1, x2, y2);//for clock
/*g.drawLine(x2, y2, x2+1, y2+1);//for sinus*/
repaint();
}
}

Related

How do you display more than one image in the JFrame window in real time?

For the purposes of my project, I'm trying to simulate a phyllotaxis pattern by creating multiple circles in real time using the formulas given.
So recently, I've decided to try out GUI programming in Java using JFrame and swing, and I've hit a wall trying to figure out how to get everything running properly. My idea was to slowly print out circle after circle with their x and y coordinates being calculated from the "r = cos/sin(theta)" formulas documented in the phyllotaxis instructions. Unfortunately, while the x and y values are constantly changing, only one circle is printed. Is there something I am missing?
package gExample;
import java.awt.Canvas;
import java.awt.Color;
import java.awt.Graphics;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
import java.util.Random;
import javax.swing.JFrame;
import javax.swing.Timer;
public class GraphicsExample extends Canvas implements ActionListener {
private final static int HEIGHT = 600;
private final static int WIDTH = 600;
private int n = 0;
private int x, y;
Timer t = new Timer(20, this);
public static void main(String args[]) {
JFrame frame = new JFrame();
GraphicsExample canvas = new GraphicsExample();
canvas.setSize(WIDTH, HEIGHT);
frame.add(canvas);
frame.pack();
frame.setVisible(true);
frame.setResizable(false);
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
canvas.setBackground(Color.black);
}
public void paint(Graphics g){
Random rand = new Random();
Color col = new Color(rand.nextInt(256), rand.nextInt(256), rand.nextInt(256));
g.setColor(col);
/*each time paint() is called, I expect a new circle to be printed in the
x and y position that was updated by actionPerformed(), but only one inital circle is created. */
g.fillOval(x, y, 8, 8);
t.start();
}
#Override
public void actionPerformed(ActionEvent e) {
// TODO Auto-generated method stub
int c = 9;
double r = c * Math.sqrt(n);
double angle = n * 137.5;
//here, every time the method is called, the x and y values are updated,
//which will be used to fill in a new circle
int x = (int) (r * Math.cos(angle * (Math.PI / 180) )) + (WIDTH / 2);
int y = (int) (r * Math.sin(angle * (Math.PI / 180) )) + (HEIGHT / 2);
//when the program is running, this line of code is executed multiple times.
System.out.println("x: " + x + " y: " + y);
n++;
}
}

Java - Calculating and placing the angle of a geometric shape

I'm currently working on a program which enables user to draw various geometric shapes. However, I got some issues on calculating and placing the angle objects onto my Canvas panel accurately. The angle object is basically an extension of the Arc2D object, which provides a additional method called computeStartAndExtent(). Inside my Angle class, this method computes and finds the necessary starting and extension angle values:
private void computeStartAndExtent()
{
double ang1 = Math.toDegrees(Math.atan2(b1.getY2() - b1.getY1(), b1.getX2() - b1.getX1()));
double ang2 = Math.toDegrees(Math.atan2(b2.getY2() - b2.getY1(), b2.getX2() - b2.getX1()));
if(ang2 < ang1)
{
start = Math.abs(180 - ang2);
extent = ang1 - ang2;
}
else
{
start = Math.abs(180 - ang1);
extent = ang2 - ang1;
}
start -= extent;
}
It is a bit buggy code that only works when I connect two lines to each other, however, when I connect a third one to make a triangle, the result is like the following,
As you see the ADB angle is the only one that is placed correctly. I couldn't figure how to overcome this. If you need some additional info/code please let me know.
EDIT: b1 and b2 are Line2D objects in computeStartAndExtent() method.
Thank you.
There are some of things that can be made to simplify the calculation:
Keep the vertices ordered, so that it is always clear how to calculate the vertex angles pointing away from the corner
Furthermore, always draw the polygon to the same direction; then you can always draw the angles to the same direction. The example below assumes the polygon is drawn clockwise. The same angle calculation would result in the arcs drawn outside given a polygon drawn counterclockwise.
Example code; is not quite the same as yours as I don't have your code, but has similar functionality:
import java.awt.Dimension;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.Shape;
import java.awt.geom.Arc2D;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
public class Polygon extends JPanel {
private static final int RADIUS = 20;
private final int[] xpoints = {
10, 150, 80, 60
};
private final int[] ypoints = {
10, 10, 150, 60
};
final Arc2D[] arcs;
Polygon() {
arcs = new Arc2D[xpoints.length];
for (int i = 0; i < arcs.length; i++) {
// Indices of previous and next corners
int prev = (i + arcs.length - 1) % arcs.length;
int next = (i + arcs.length + 1) % arcs.length;
// angles of sides, pointing outwards from the corner
double ang1 = Math.toDegrees(Math.atan2(-(ypoints[prev] - ypoints[i]), xpoints[prev] - xpoints[i]));
double ang2 = Math.toDegrees(Math.atan2(-(ypoints[next] - ypoints[i]), xpoints[next] - xpoints[i]));
int start = (int) ang1;
int extent = (int) (ang2 - ang1);
// always draw to positive direction, limit the angle <= 360
extent = (extent + 360) % 360;
arcs[i] = new Arc2D.Float(xpoints[i] - RADIUS, ypoints[i] - RADIUS, 2 * RADIUS, 2 * RADIUS, start, extent, Arc2D.OPEN);
}
}
#Override
public Dimension getPreferredSize() {
return new Dimension(160, 160);
}
#Override
protected void paintComponent(Graphics g) {
super.paintComponent(g);
g.drawPolygon(xpoints, ypoints, xpoints.length);
Graphics2D g2d = (Graphics2D) g;
for (Shape s : arcs) {
g2d.draw(s);
}
}
public static void main(String args[]){
SwingUtilities.invokeLater(new Runnable() {
#Override
public void run() {
JFrame frame = new JFrame("Polygon");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.add(new Polygon());
frame.pack();
frame.setVisible(true);
}
});
}
}
Results in:

Java AWT rotating ball

Oh boy, trigonometry is so hard! I kinda need some help, It's a simple program that is supposed to rotate a ball around the center of the screen... Here is my code:
import java.awt.*;
import javax.swing.*;
public class Window {
private int x;
private int y;
private int R = 30;
private double alpha = 0;
private final int SPEED = 1;
private final Color COLOR = Color.red;
public static void main(String[] args) {
new Window().buildWindow();
}
public void buildWindow() {
JFrame frame = new JFrame("Rotation");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.setSize(800,600);
frame.setVisible(true);
frame.add(new DrawPanel());
while(true) {
try {
Thread.sleep(60);
alpha += SPEED;
frame.repaint();
} catch (InterruptedException e) {
e.printStackTrace();
}
}
}
#SuppressWarnings("serial")
class DrawPanel extends JPanel {
#Override
public void paintComponent(Graphics g) {
g.setColor(Color.blue);
Font font = new Font("Arial",Font.PLAIN,12);
g.setFont(font);
g.drawString(String.format("Angle: %.2f ", alpha), 0, 12);
g.setColor(Color.black);
g.drawLine(this.getWidth()/2,0, this.getWidth()/2, this.getHeight());
g.drawLine(0, this.getHeight()/2, this.getWidth(), this.getHeight()/2);
x = (int) ((this.getWidth() / 2 - R / 2 ) + Math.round((R + 20) * Math.sin(alpha)));
y = (int) ((this.getHeight() / 2 - R / 2 ) + Math.round((R + 20) * Math.cos(alpha)));
g.setColor(COLOR);
g.fillOval(x, y, R, R);
}
}
}
This code looks like it's working, but then I've printed Angle[alpha] information to the screen. And when I comment out the alpha+=SPEED and enter the angle manually it does not look like it's working.The angle on the screen doses not correspond to that angle alpha.
So I need suggestions. What should I change? Is my trigonometry wrong? etc...
Three things to note here:
I assume your alpha variable is in degrees since you are adding 20 in each step. However the Math.sin() and Math.cos() methods expect an angle in radians.
Normally 0 deg (or 0 rads) is represented at the "3 o'clock" position. For this you need to switch the sin and cos calls.
Reverse the sign in the y equation to account for the fact that y coordinates start at the top of the screen and increase downwards
With these modifications, your code will work as you expect:
double rads = (alpha * Math.PI) / 180F;
x = (int) ((this.getWidth() / 2 - R / 2 ) + Math.round((R + 20) * Math.cos(rads)));
y = (int) ((this.getHeight() / 2 - R / 2 ) - Math.round((R + 20) * Math.sin(rads)));

Space ship simulator guidance computer targeting with concentric indicator squares

I'm working on a 3D space trading game with some people, and one of the things I've been assigned to do is to make a guidance computer 'tunnel' that the ship travels through, with the tunnel made of squares that the user flies through to their destination, increasing in number as the user gets closer to the destination.
It's only necessary to render the squares for the points ahead of the ship, since that's all that's visible to the user. On their way to a destination, the ship's computer is supposed to put up squares on the HUD that represent fixed points in space between you and the destination, which are small in the distance and get larger as the points approach the craft.
I've had a go at implementing this and can't seem to figure it out, mainly using logarithms (Math.log10(x) and such). I tried to get to get the ship position in 'logarithmic space' to help find out what index to start from when drawing the squares, but then the fact that I only have distance to the destination to work with confuses the matter, especially when you consider that the number of squares has to vary dynamically to make sure they stay fixed at the right locations in space (i.e., the squares are positioned at intervals of 200 or so before being transformed logarithmically).
With regard to this, I had a working implementation with the ship between a start of 0.0d and end of 1.0d, although the implementation wasn't so nice. Anyway, the problem essentially boils down to a 1d nature. Any advice would be appreciated with this issue, including possible workarounds to achieve the same effect or solutions.
(Also, there's a Youtube video showing this effect: http://www.youtube.com/watch?v=79F9Nj7GgfM&t=3m5s)
Cheers,
Chris
Edit: rephrased the entire question.
Edit: new testbed code:
package st;
import java.awt.BorderLayout;
import java.awt.Canvas;
import java.awt.Color;
import java.awt.Dimension;
import java.awt.Font;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.GraphicsDevice;
import java.awt.GraphicsEnvironment;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
import java.awt.image.BufferStrategy;
import java.text.DecimalFormat;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
import javax.swing.Timer;
public class StUI2 extends JFrame {
public static final double DEG_TO_RAD = Math.PI / 180.0d;
public static final DecimalFormat decimalFormat = new DecimalFormat("0.0000");
public static final Font MONO = new Font("Monospaced", Font.PLAIN, 10);
public class StPanel extends Canvas {
protected final Object imgLock = new Object();
protected int lastWidth = 1, lastHeight = 1;
protected boolean first = true;
protected Color bgColour = Color.DARK_GRAY, gridColour = Color.GRAY;
double shipWrap = 700;
double shipFrame = 100;
double shipPos = 0;
long lastUpdateTimeMS = -1;
long currUpdateTimeMS = -1;
public StPanel() {
setFocusable(true);
setMinimumSize(new Dimension(1, 1));
setAlwaysOnTop(true);
}
public void internalPaint(Graphics2D g) {
synchronized (imgLock) {
if (lastUpdateTimeMS < 0) {
lastUpdateTimeMS = System.currentTimeMillis();
}
currUpdateTimeMS = System.currentTimeMillis();
long diffMS = currUpdateTimeMS - lastUpdateTimeMS;
g.setFont(MONO);
shipPos += (60d * ((double)diffMS / 1000));
if (shipPos > shipWrap) {
shipPos = 0d;
}
double shipPosPerc = shipPos / shipWrap;
double distToDest = shipWrap - shipPos;
double compression = 1000d / distToDest;
g.setColor(bgColour);
Dimension d = getSize();
g.fillRect(0, 0, (int)d.getWidth(), (int)d.getHeight());
//int amnt2 = (int)unlog10((1000d / distToDest));
g.setColor(Color.WHITE);
g.drawString("shipPos: " + decimalFormat.format(shipPos), 10, 10);
g.drawString("distToDest: " + decimalFormat.format(distToDest), 10, 20);
g.drawString("shipWrap: " + decimalFormat.format(shipWrap), 150, 10);
int offset = 40;
g.setFont(MONO);
double scalingFactor = 10d;
double dist = 0;
int curri = 0;
int i = 0;
do {
curri = i;
g.setColor(Color.GREEN);
dist = distToDest - getSquareDistance(distToDest, scalingFactor, i);
double sqh = getSquareHeight(dist, 100d * DEG_TO_RAD);
g.drawLine(30 + (int)dist, (offset + 50) - (int)(sqh / 2d), 30 + (int)dist, (offset + 50) + (int)(sqh / 2d));
g.setColor(Color.LIGHT_GRAY);
g.drawString("i: " + i + ", dist: " + decimalFormat.format(dist), 10, 120 + (i * 10));
i++;
} while (dist < distToDest);
g.drawLine(10, 122, 200, 122);
g.drawString("last / i: " + curri + ", dist: " + decimalFormat.format(dist), 10, 122 + (i * 10));
g.setColor(Color.MAGENTA);
g.fillOval(30 + (int)shipPos, offset + 50, 4, 4);
lastUpdateTimeMS = currUpdateTimeMS;
}
}
public double getSquareDistance(double initialDist, double scalingFactor, int num) {
return Math.pow(scalingFactor, num) * num * initialDist;
}
public double getSquareHeight(double distance, double angle) {
return distance / Math.tan(angle);
}
/* (non-Javadoc)
* #see java.awt.Canvas#paint(java.awt.Graphics)
*/
#Override
public void paint(Graphics g) {
internalPaint((Graphics2D)g);
}
public void redraw() {
synchronized (imgLock) {
Dimension d = getSize();
if (d.width == 0) d.width = 1;
if (d.height == 0) d.height = 1;
if (first || d.getWidth() != lastWidth || d.getHeight() != lastHeight) {
first = false;
// remake buf
GraphicsEnvironment ge = GraphicsEnvironment.getLocalGraphicsEnvironment();
//create an object that represents the device that outputs to screen (video card).
GraphicsDevice gd = ge.getDefaultScreenDevice();
gd.getDefaultConfiguration();
createBufferStrategy(2);
lastWidth = (int)d.getWidth();
lastHeight = (int)d.getHeight();
}
BufferStrategy strategy = getBufferStrategy();
Graphics2D g = (Graphics2D)strategy.getDrawGraphics();
internalPaint(g);
g.dispose();
if (!strategy.contentsLost()) strategy.show();
}
}
}
protected final StPanel canvas;
protected Timer viewTimer = new Timer(1000 / 60, new ActionListener() {
#Override
public void actionPerformed(ActionEvent e) {
canvas.redraw();
}
});
{
viewTimer.setRepeats(true);
viewTimer.setCoalesce(true);
}
/**
* Create the applet.
*/
public StUI2() {
JPanel panel = new JPanel(new BorderLayout());
setContentPane(panel);
panel.add(canvas = new StPanel(), BorderLayout.CENTER);
setVisible(true);
setDefaultCloseOperation(EXIT_ON_CLOSE);
setSize(800, 300);
setTitle("Targetting indicator test #2");
viewTimer.start();
}
public static double unlog10(double x) {
return Math.pow(10d, x);
}
public static void main(String[] args) {
SwingUtilities.invokeLater(new Runnable() {
#Override
public void run() {
StUI2 ui = new StUI2();
}
});
}
}
Assuming you want the squares to be equal height (when you reach them), you can calculate a scaling factor based on the distance to the destination (d) and the required height of the squares upon reaching them (h).
From these two pieces of information you can calculate the inverse tangent (atan) of the angle (alpha) between the line connecting the ship to the destination (horizontal line in your image) and the line connecting the top of the squares with the destination (angled line in your image).
EDIT: corrected formula
Using the angle, you can calculate the height of the square (h') at any given distance from the destination: you know the distance to the destination (d') and the angle (alpha); The height of the square at distance d' is h'=r'*sin(alpha) -- sin(alpha)=cos(alpha)*tan(alpha) and r'=d'/cos(alpha) (the distance between the destination and the top of the square -- the "radius"). Or more easily: h'=d'*tan(alpha).
Note: adopting the algorithm to varying height (when you reach them) squares is relatively simple: when calculating the angle, just assume a (phantom) square of fixed height and scale the squares relatively to that.
If the height of the square at distance d' is calculated for you by your graphic library, all the better, you only need to figure out the distances to place the squares.
What distances to place the squares from the destination?
1) If you want a varying number of squares shown (in front of the ship), but potentially infinite number of squares to consider (based on d), you can chose the distance of the closest square to the destination (d1) and calculate the distances of other squares by the formula s^k*k*d1, where s (scaling factor) is a number > 1 for the k'th square (counting from the destination). You can stop the algorithm when the result is larger than d.
Note that if d is sufficiently large, the squares closest to the distance will block the destination (there are many of them and their heights are small due to the low angle). In this case you can introduce a minimal distance (possibly based on d), below which you do not display the squares -- you will have to experiment with the exact values to see what looks right/acceptable.
2) If you want a fixed amount of squares (sn) showing always, regardless of d, you can calculate the distances of the squares from the destination by the formula d*s^k, where s is a number < 1, k is the index of the square (counting from the ship). The consideration about small squares probably don't apply here unless sn is high.
To fix the updated code, change the relavant part to:
double dist = 0;
double d1 = 10;
int curri = 0;
int i = 1;
int maxSquareHeight = 40;
double angle = Math.atan(maxSquareHeight/distToDest);
while (true)
{
curri = i;
g.setColor(Color.GREEN);
dist = getSquareDistance(d1, scalingFactor, i);
if (dist > distToDest) {
break;
}
double sqh = getSquareHeight(dist, angle);
g.drawLine(30 + (int)(shipWrap - dist), offset+50-(int)(sqh / 2d), 30 + (int)(shipWrap - dist), offset+50+(int)(sqh / 2d));
g.setColor(Color.LIGHT_GRAY);
i++;
}
public double getSquareHeight(double distance, double angle) {
return distance * Math.tan(angle);
}
You should also reduce scalingFactor to the magnitude of ~1.5.
EDIT: If you replace the formula s^k*k*d1 with s^(k-1)*k*d1, then the first square will be exactly at distance d1.
EDIT: fixed square height calculating formula
EDIT: updated code

Draw a circle with a radius and points around the edge

I'm really stuck on how to go about programming this. How to draw a circle in Java with a radius and points around the edge?
I need to draw a circle within a JFrame with a radius and points around the circumference. i can mathematically calculate how to find the coordinates of the point around the edge but i cant seem to be able to program the circle. I am currently using a Ellipse2D method but that doesn't seem to work and doesn't return a radius, as under my understanding, it doesn't draw the circle from the center rather from a starting coordinate using a height and width.
My current code is on a separate frame but I need to add it to my existing frame.
import java.awt.*;
import javax.swing.*;
import java.awt.geom.*;
public class circle extends JFrame {
public circle() {
super("circle");
setSize(410, 435);
setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
Panel sp = new Panel();
Container content = getContentPane();
content.add(sp);
setContentPane(content);
setVisible(true);
}
public static void main (String args[]){
circle sign = new circle();
}
}
class Panel extends JPanel {
public void paintComponent(Graphics comp) {
super.paintComponent(comp);
Graphics2D comp2D = (Graphics2D) comp;
comp2D.setColor(Color.red);
Ellipse2D.Float sign1 = new Ellipse2D.Float(0F, 0F, 350F, 350F);
comp2D.fill(sign1);
}
}
Points on a circle may be specified as a function of the angle θ:
x = a + r cos(θ)
y = b + r sin(θ)
Here, increments of 2π/8 are shown.
Addendum: As suggested in a comment by #Christoffer Hammarström, this revised example reduces the number of magic numbers in the original. The desired number of points becomes a parameter to the constructor. It also adapts the rendering to the container's size.
/** #see https://stackoverflow.com/questions/2508704 */
public class CircleTest extends JPanel {
private static final int SIZE = 256;
private int a = SIZE / 2;
private int b = a;
private int r = 4 * SIZE / 5;
private int n;
/** #param n the desired number of circles. */
public CircleTest(int n) {
super(true);
this.setPreferredSize(new Dimension(SIZE, SIZE));
this.n = n;
}
#Override
protected void paintComponent(Graphics g) {
super.paintComponent(g);
Graphics2D g2d = (Graphics2D) g;
g2d.setRenderingHint(
RenderingHints.KEY_ANTIALIASING,
RenderingHints.VALUE_ANTIALIAS_ON);
g2d.setColor(Color.black);
a = getWidth() / 2;
b = getHeight() / 2;
int m = Math.min(a, b);
r = 4 * m / 5;
int r2 = Math.abs(m - r) / 2;
g2d.drawOval(a - r, b - r, 2 * r, 2 * r);
g2d.setColor(Color.blue);
for (int i = 0; i < n; i++) {
double t = 2 * Math.PI * i / n;
int x = (int) Math.round(a + r * Math.cos(t));
int y = (int) Math.round(b + r * Math.sin(t));
g2d.fillOval(x - r2, y - r2, 2 * r2, 2 * r2);
}
}
private static void create() {
JFrame f = new JFrame();
f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
f.add(new CircleTest(9));
f.pack();
f.setVisible(true);
}
public static void main(String[] args) {
EventQueue.invokeLater(new Runnable() {
#Override
public void run() {
create();
}
});
}
}
Try something like this:
public class CirclePanel extends JPanel
{
public static void main(String[] args) throws Exception
{
JFrame f = new JFrame();
f.setContentPane(new CirclePanel());
f.setSize(700,500);
f.setVisible(true);
}
public void paint(Graphics g)
{
super.paint(g);
//Draws the line
g.drawOval(0,0,this.getWidth(), this.getHeight());
//draws filled circle
g.setColor(Color.red);
g.fillOval(0,0,this.getWidth(), this.getHeight());
}
}
You can also override the paint method in the frame class, but then the you would have to calculate in the size of the window decorations and it gets dirty there...
I recommend to take some time to review the "midpoint circle algorithm or Bresenham's circle algorithm". The accepted solution is based on very costly math operations like float multiplication and trigonometric functions.

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