Develop Reference

How to rotate an object around another moving object in java?

I'm quite new to Java and want to program an easy sun system where the moon rotates around the earth and the earth around the sun.
Everything works well except the moon doesn't want to move correctly :/
Because the earth diverges from the moon's initial position, the rotation radius of the moon grows accordingly to that distance. And again when the earth gets closer to the moons inertial position, the rotation radius decreases.
If the initial position is (0;0), it works but the moon hits the sun...
So how can I keep the distance between earth and moon constant?
I'm using AffineTransforms and here is a snippet of my code ;)
Thanks in advance!
Ellipse2D.Double MoonFrame = new Ellipse2D.Double(orbitEarth + orbitMoon - radiusMoon, -radiusMoon, radiusMoon*2, radiusMoon*2);
for (int i = 0; i < 360; i++)
{
theta += Math.PI/30;
AffineTransform TransformMoon = AffineTransform.getRotateInstance(theta,TransformEarth.getTranslateX(),TransformEarth.getTranslateY());
g2d.fill(TransformMond.createTransformedShape(MoonFrame));
}

So, your basic question comes down to "how do I find a point on a circle for a give angle" ... seriously, it's that simple
Based on many hours of googling and trial and error, I basically use the following, more or less.
protected Point pointOnCircle() {
double rads = Math.toRadians(orbitAngle - 180); // Make 0 point out to the right...
int fullLength = Math.round((outterRadius));
// Calculate the outter point of the line
int xPosy = Math.round((float) (Math.cos(rads) * fullLength));
int yPosy = Math.round((float) (Math.sin(rads) * fullLength));
return new Point(xPosy, yPosy);
}
The rest basically comes down to properly handling the compounding nature of transformations,
Basically, this takes a base Graphics context, applies the translation to it (the Earth's position) and creates two other contexts off it to apply additional transformations, one for the Earth and one for the moon...
Graphics2D g2d = (Graphics2D) g.create();
int yPos = (getHeight() - size) / 2;
// Transform the offset
g2d.transform(AffineTransform.getTranslateInstance(xPos, yPos));
Graphics2D earthG = (Graphics2D) g2d.create();
// Rotate around the 0x0 point, this becomes the center point
earthG.transform(AffineTransform.getRotateInstance(Math.toRadians(angle)));
// Draw the "earth" around the center point
earthG.drawRect(-(size / 2), -(size / 2), size, size);
earthG.dispose();
// Removes the last transformation
Graphics2D moonG = (Graphics2D) g2d.create();
// Calclate the point on the circle - based on the outterRadius or
// distance from the center point of the earth
Point poc = pointOnCircle();
int moonSize = size / 2;
// This is only a visial guide used to show the position of the earth
//moonG.drawOval(-outterRadius, -outterRadius, outterRadius * 2, outterRadius * 2);
moonG.fillOval(poc.x - (moonSize / 2), poc.y - (moonSize / 2), moonSize, moonSize);
moonG.dispose();
g2d.dispose();
And because I know how much that would have you scratching your head, a runnable example...
import java.awt.Dimension;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.Point;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
import java.awt.geom.AffineTransform;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
import javax.swing.Timer;
public class Test {
public static void main(String[] args) {
new Test();
}
public Test() {
SwingUtilities.invokeLater(new Runnable() {
#Override
public void run() {
JFrame frame = new JFrame();
frame.add(new TestPane());
frame.pack();
frame.setLocationRelativeTo(null);
frame.setVisible(true);
}
});
}
public class TestPane extends JPanel {
private double angle;
private double orbitAngle;
private int xPos = 0;
private int size = 20;
private int outterRadius = size * 2;
private int delta = 2;
public TestPane() {
new Timer(40, new ActionListener() {
#Override
public void actionPerformed(ActionEvent e) {
xPos += delta;
if (xPos + size >= getWidth()) {
xPos = getWidth() - size;
delta *= -1;
} else if (xPos < 0) {
xPos = 0;
delta *= -1;
}
angle += 4;
orbitAngle -= 2;
repaint();
}
}).start();
}
#Override
public Dimension getPreferredSize() {
return new Dimension(400, 200);
}
protected Point pointOnCircle() {
double rads = Math.toRadians(orbitAngle - 180); // Make 0 point out to the right...
int fullLength = Math.round((outterRadius));
// Calculate the outter point of the line
int xPosy = Math.round((float) (Math.cos(rads) * fullLength));
int yPosy = Math.round((float) (Math.sin(rads) * fullLength));
return new Point(xPosy, yPosy);
}
#Override
protected void paintComponent(Graphics g) {
super.paintComponent(g);
Graphics2D g2d = (Graphics2D) g.create();
int yPos = (getHeight() - size) / 2;
// Transform the offset
g2d.transform(AffineTransform.getTranslateInstance(xPos, yPos));
Graphics2D earthG = (Graphics2D) g2d.create();
// Rotate around the 0x0 point, this becomes the center point
earthG.transform(AffineTransform.getRotateInstance(Math.toRadians(angle)));
// Draw the "earth" around the center point
earthG.drawRect(-(size / 2), -(size / 2), size, size);
earthG.dispose();
// Removes the last transformation
Graphics2D moonG = (Graphics2D) g2d.create();
// Calclate the point on the circle - based on the outterRadius or
// distance from the center point of the earth
Point poc = pointOnCircle();
int moonSize = size / 2;
// This is only a visial guide used to show the position of the earth
//moonG.drawOval(-outterRadius, -outterRadius, outterRadius * 2, outterRadius * 2);
moonG.fillOval(poc.x - (moonSize / 2), poc.y - (moonSize / 2), moonSize, moonSize);
moonG.dispose();
g2d.dispose();
}
}
}
This moves a "Earth" object, which is rotating in one direction and then rotates the moon around it, in the opposite direction

You can simplify your math by concatenating transforms. Work backwards from the last transform to the first, or use preConcatenate to build them in a more natural order.
Compose complex transforms from simple transforms, for example by building an orbital transform from a translate and a rotate:
// Earth transform.
// Set the orbital radius to 1/3rd the panel width
AffineTransform earthTx = AffineTransform.getTranslateInstance(getWidth() / 3, 0);
// Rotate
earthTx.preConcatenate(AffineTransform.getRotateInstance(angle));
Later transforms (e.g. the moon orbiting the earth) can then be built on top of earlier results:
// Moon transform.
// Set the orbital radius to 1/10th the panel width
AffineTransform moonTx = AffineTransform.getTranslateInstance(getWidth() / 10, 0);
// Rotate
moonTx.preConcatenate(AffineTransform.getRotateInstance(angle));
// Add the earth transform
moonTx.preConcatenate(earthTx);
Full example:
public class Orbit {
public static class OrbitPanel extends JComponent {
int width;
int height;
public OrbitPanel(int width, int height) {
this.width = width;
this.height = height;
}
#Override
public Dimension getPreferredSize() {
return new Dimension(width, height);
}
#Override
public void paint(Graphics g) {
Graphics2D g2 = (Graphics2D) g;
g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);
// Clear the background.
g2.setColor(getBackground());
g2.fillRect(0, 0, getWidth(), getHeight());
// Sun transform. Just centre it in the window.
AffineTransform sunTx = AffineTransform.getTranslateInstance(getWidth() / 2, getHeight() / 2);
// Draw the sun
g2.setTransform(sunTx);
drawBody(g2, 30, Color.YELLOW);
// Orbital period.
// One rotation every 10s.
double percentRotation = System.currentTimeMillis() % 10000 / 10000.0;
// To radians.
double angle = Math.PI * 2 * percentRotation;
// Earth transform.
// Set the orbital radius to 1/3rd the panel width
AffineTransform earthTx = AffineTransform.getTranslateInstance(getWidth() / 3, 0);
// Rotate
earthTx.preConcatenate(AffineTransform.getRotateInstance(angle));
// Add the sun transform
earthTx.preConcatenate(sunTx);
// Draw the earth
g2.setTransform(earthTx);
drawBody(g2, 10, Color.BLUE);
// Moon transform.
// Set the orbital radius to 1/10th the panel width
AffineTransform moonTx = AffineTransform.getTranslateInstance(getWidth() / 10, 0);
// Rotate
moonTx.preConcatenate(AffineTransform.getRotateInstance(angle));
// Add the earth transform (already includes the sun transform)
moonTx.preConcatenate(earthTx);
// Draw the moon
g2.setTransform(moonTx);
drawBody(g2, 5, Color.DARK_GRAY);
}
private void drawBody(Graphics2D g2, int size, Color color) {
g2.setColor(color);
g2.fillOval(-size / 2, -size / 2, size, size);
}
}
public static void main(String[] args) throws IOException, InterruptedException {
JFrame frame = new JFrame("Orbit");
frame.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);
JComponent orbitPanel = new OrbitPanel(250, 250);
frame.add(orbitPanel);
frame.pack();
frame.setVisible(true);
while (true) {
Thread.sleep(20);
orbitPanel.repaint();
}
}
}

How to draw a triangle with border with Java Graphics

I'm trying to draw a triangle with a border using the Graphics.drawPolygon() method
The triangle is properly drawn, but how can I calculate the 3 points of the border?
I already did it with a circle, but I can't seem to find a solution for triangle.
A requirement of the instructor as that it cannot use Graphics2D.
My code:
if (xPoints != null && yPoints != null) {
int[] nXPoints = new int[] { xPoints[0] - borderThickness, xPoints[1] - borderThickness,
xPoints[2] - borderThickness };
int[] nYPoints = new int[] { yPoints[0] - borderThickness, yPoints[1] - borderThickness,
yPoints[2] - borderThickness };
g.setColor(borderColor);
g.fillPolygon(nXPoints, nYPoints, 3);
g.setColor(fillColor);
g.fillPolygon(xPoints, yPoints, 3);
}
Edit:
Expected result

Use the Graphics methods drawPolygon() to render the outline and fillPolygon() to fill its interior; both have the required signature, as shown here.
Because "operations that draw the outline of a figure operate by traversing an infinitely thin path between pixels with a pixel-sized pen," cast the graphics context to Graphics2D so that you can use draw() and fill() on the corresponding Shape. This will allow you to specify the outline using setStroke(), illustrated here.
I need it to have a custom thickness…I also don't want to use Graphics2D.
Custom thickness is not supported in the Graphics API. As suggested here, the actual graphics context received by paintComponent() is an instance of Graphics2D, which does support custom stroke geometry.
The things is teacher haven't taught me Graphics2D, so I'm not supposed to use it.
Then simply paint the larger triangle and then the smaller. If this isn't working, then you have an error in you calculation of the larger triangle, and you should edit your question to include a complete example.
I'm looking for a way to do it without Graphics2D…a guy has interpreted the question properly in this comment.
As #Marco13 observes, you need a triangle that is larger than the original one by the borderThickness. You can use AffineTransform to do the scaling. While Graphics can't fill() an arbitrary Shape, such as one created by AffineTransform, it can clip the rendering as required. In the example below, a unit triangle is translated and scaled to the center of an N x N panel; a copy is enlarged by delta. Note how rendering is clipped first to the larger background figure and then to the smaller foreground figure.
import java.awt.Color;
import java.awt.Dimension;
import java.awt.EventQueue;
import java.awt.Graphics;
import java.awt.Polygon;
import java.awt.Shape;
import java.awt.geom.AffineTransform;
import javax.swing.JFrame;
import javax.swing.JPanel;
/**
* #see https://stackoverflow.com/a/39812618/230513
*/
public class GraphicsBorder {
private static class GraphicsPanel extends JPanel {
private static final int N = 256;
private static final Color FILL = new Color(0x990099);
private static final Color BORDER = new Color(0x66FFB2);
private final Shape fore;
private final Shape back;
public GraphicsPanel(Polygon polygon, int delta) {
AffineTransform a1 = new AffineTransform();
a1.translate(N / 2, N / 2);
a1.scale(N / 3, N / 3);
fore = a1.createTransformedShape(polygon);
AffineTransform a2 = new AffineTransform();
a2.translate(N / 2, N / 2 - delta / 3);
a2.scale(N / 3 + delta, N / 3 + delta);
back = a2.createTransformedShape(polygon);
}
#Override
protected void paintComponent(Graphics g) {
super.paintComponent(g);
g.setColor(BORDER);
g.setClip(back);
g.fillRect(0, 0, N, N);
g.setColor(FILL);
g.setClip(fore);
g.fillRect(0, 0, N, N);
}
#Override
public Dimension getPreferredSize() {
return new Dimension(N, N);
}
}
private void display() {
JFrame f = new JFrame("GraphicsBorder");
f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
Polygon p = new Polygon();
p.addPoint(0, -1);
p.addPoint(1, 1);
p.addPoint(-1, 1);
f.add(new GraphicsPanel(p, 16));
f.pack();
f.setLocationRelativeTo(null);
f.setVisible(true);
}
public static void main(String[] args) {
EventQueue.invokeLater(new GraphicsBorder()::display);
}
}

Creating an arc between two points for interpolation in Java

I've got a top down game that I'm making and I want my enemies to be able to move across the screen in an arc. Right now they move in a straight line between two edges of the screen. I generate a start position on one edge then find a random position somewhere across the screen and calculate movement speeds my multiplying the sin/cos of the angle by their speed variable.
I'd like to use these to points to generate some arc between them and then use that to move my enemies along it. I thought maybe some sort of spline would do the trick but Im not entirely sure how to create one, nor more significantly how to use it to interpolate my characters. I think at this point its more of a math question than programming but I hope someone can help anyways. Thanks.

Yes, a spline would work for you. Specifically i would recommend a cubic spline, because later on if you wanted do a different shape, maybe a Street Fighter style uppercut, you could re-use the same code. I remember cubic spline being a decent, general solution.
As far as solving for a cubic spline I would recommend you just Google for pseudo code which makes sense to you. That's only if you really want to generically solve for a suitable cubic spline on the fly.
In practice, i imagine the shape you want will be the same almost all the time? If so, you can probably solve a few general cases of a spline and save it to some fast data structure to improve performance. In example, for y=x a suitable array holding the necessary information (pre-processed) would be x[0] = 1,x[1] = 1,x[2] = 2 ... x[n] = n.
In practice, you could come up with an equation to model a simple two point spline. A cubic equation has 4 unknowns. So you have two data points at least, you're starting point and your end point. In addition, you can calculate the derivative of him when he jumps. For your fourth point you could use either another point you want him to jump through, or the derivative when he lands. Then use https://www.wolframalpha.com/ to solve the equation for you. Or use an equation to solve cubics.
Another thing you can do is just calculate the arc using the quadratic equation + gravity + wind resistance. Again, Google knows how to solve that. This page is something i quickly found that looks like it could do the trick. http://www.physicsclassroom.com/class/vectors/Lesson-2/Non-Horizontally-Launched-Projectiles-Problem-Solv

When you intend to use a spline, you can use the Path2D class that is already available in Java. You can assemble an arbitrary path by
moving to a certain point
appending a line segment
appending a quadratic curve segment
appending a cubic curve segment
So assembling this path should be easy: You can just create a quadratic curve that starts at a random point on the left border of the screen and ends at a random point on the right border of the screen. As the control points (for both ends) you can use a point at a random position in the center of the screen.
(BTW: When you manage to represent the path as a generic Path2D, then you can probably imagine that you have quite a lot of freedom when designing the path for the enemies. They could run in circles or zig-zag, just as you like...)
What might be more tricky here is to let the enemies follow this path.
The first step is not sooo tricky yet: You can walk along this path with a PathIterator. But this PathIterator will only return a single segment - namely, the quadratic curve. This can be alleviated by creating a flattening PathIterator. This will convert all curves into line segments (the resolution can be high, so you won't notice any corners).
However, now comes the really tricky part: When iterating these line segments, the movement speed may vary: Depending on the curvature of the original quadratic curve, there may be more or fewer line segments be created. In the worst case, when all 3 points are on one line, then only one line segment would be created, and the enemy would walk across the whole screen in a single step. So you have to make sure that this path is traversed with a constant speed. You have to compute how far you already have been walking when iterating over the path, and possibly interpolate a position between two points of the path.
I quickly assembled an example. It's certainly not bullet-proof, but might serve as a starting point.
import java.awt.BorderLayout;
import java.awt.Color;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.RenderingHints;
import java.awt.Shape;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
import java.awt.geom.Path2D;
import java.awt.geom.PathIterator;
import java.awt.geom.Point2D;
import java.util.ArrayList;
import java.util.List;
import java.util.Random;
import javax.swing.JButton;
import javax.swing.JComponent;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
import javax.swing.Timer;
public class SplineMovementTest
{
public static void main(String[] args)
{
SwingUtilities.invokeLater(new Runnable()
{
#Override
public void run()
{
createAndShowGUI();
}
});
}
private static PathFollower pathFollower;
private static void createAndShowGUI()
{
JFrame frame = new JFrame();
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.getContentPane().setLayout(new BorderLayout());
final Random random = new Random(0);
final SplineMovementPanel p = new SplineMovementPanel();
JButton generateButton = new JButton("Generate");
generateButton.addActionListener(new ActionListener()
{
#Override
public void actionPerformed(ActionEvent e)
{
Shape spline = generateSpline(p,
random.nextDouble(),
random.nextDouble(),
random.nextDouble());
p.setSpline(spline);
pathFollower = new PathFollower(spline);
p.repaint();
}
});
frame.getContentPane().add(generateButton, BorderLayout.NORTH);
startAnimation(p);
frame.getContentPane().add(p, BorderLayout.CENTER);
frame.setSize(800, 800);
frame.setLocationRelativeTo(null);
frame.setVisible(true);
}
private static Shape generateSpline(
JComponent c, double yLeft, double yCenter, double yRight)
{
Path2D spline = new Path2D.Double();
double x0 = 0;
double y0 = yLeft * c.getHeight();
double x1 = c.getWidth() / 2;
double y1 = yCenter * c.getHeight();
double x2 = c.getWidth();
double y2 = yRight * c.getHeight();
spline.moveTo(x0, y0);
spline.curveTo(x1, y1, x1, y1, x2, y2);
return spline;
}
private static void startAnimation(final SplineMovementPanel p)
{
Timer timer = new Timer(20, new ActionListener()
{
double position = 0.0;
#Override
public void actionPerformed(ActionEvent e)
{
position += 0.005;
position %= 1.0;
if (pathFollower != null)
{
Point2D point = pathFollower.computePointAt(
position * pathFollower.getPathLength());
p.setObjectLocation(point);
}
}
});
timer.start();
}
}
class PathFollower
{
private final List<Point2D> points;
private final double pathLength;
PathFollower(Shape spline)
{
points = createPointList(spline);
pathLength = computeLength(points);
}
public double getPathLength()
{
return pathLength;
}
Point2D computePointAt(double length)
{
if (length < 0)
{
Point2D p = points.get(0);
return new Point2D.Double(p.getX(), p.getY());
}
if (length > pathLength)
{
Point2D p = points.get(points.size()-1);
return new Point2D.Double(p.getX(), p.getY());
}
double currentLength = 0;
for (int i=0; i<points.size()-1; i++)
{
Point2D p0 = points.get(i);
Point2D p1 = points.get(i+1);
double distance = p0.distance(p1);
double nextLength = currentLength + distance;
if (nextLength > length)
{
double rel = 1 - (nextLength - length) / distance;
double x0 = p0.getX();
double y0 = p0.getY();
double dx = p1.getX() - p0.getX();
double dy = p1.getY() - p0.getY();
double x = x0 + rel * dx;
double y = y0 + rel * dy;
return new Point2D.Double(x,y);
}
currentLength = nextLength;
}
Point2D p = points.get(points.size()-1);
return new Point2D.Double(p.getX(), p.getY());
}
private static double computeLength(List<Point2D> points)
{
double length = 0;
for (int i=0; i<points.size()-1; i++)
{
Point2D p0 = points.get(i);
Point2D p1 = points.get(i+1);
length += p0.distance(p1);
}
return length;
}
private static List<Point2D> createPointList(Shape shape)
{
List<Point2D> points = new ArrayList<Point2D>();
PathIterator pi = shape.getPathIterator(null, 0.1);
double coords[] = new double[6];
while (!pi.isDone())
{
int s = pi.currentSegment(coords);
switch (s)
{
case PathIterator.SEG_MOVETO:
points.add(new Point2D.Double(coords[0], coords[1]));
case PathIterator.SEG_LINETO:
points.add(new Point2D.Double(coords[0], coords[1]));
}
pi.next();
}
return points;
}
}
class SplineMovementPanel extends JPanel
{
void setSpline(Shape shape)
{
this.spline = shape;
}
void setObjectLocation(Point2D objectLocation)
{
this.objectLocation = objectLocation;
repaint();
}
private Shape spline = null;
private Point2D objectLocation = null;
#Override
protected void paintComponent(Graphics gr)
{
super.paintComponent(gr);
Graphics2D g = (Graphics2D)gr;
g.setRenderingHint(
RenderingHints.KEY_ANTIALIASING,
RenderingHints.VALUE_ANTIALIAS_ON);
if (spline != null)
{
g.setColor(Color.BLACK);
g.draw(spline);
}
if (objectLocation != null)
{
g.setColor(Color.RED);
int x = (int)objectLocation.getX()-15;
int y = (int)objectLocation.getY()-15;
g.fillOval(x, y, 30, 30);
}
}
}

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

How do you move an object in a wavy pattern?

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();
}
}