I've found something weird when splitting a translate operation around a scaling one with Java Swing. Maybe I'm doing something stupid but I'm not sure where.
In the first version I center the image, scale it and then translate it to the desired position.
In the second version I directly scale the image and then translate to the desired position compensating for having a non centered image.
The two solutions should be equivalent. Also this is important when considering rotations around a point and motion in another.. I've code that does that too... but why this does not work?
Here are the two versions of the code. They are supposed to do the exact same thing but they are not. Here are the screenshots:
First produces: screenshot1
Second produces: screenshot2
I think that the two translation operations in draw1 surrounding the scale operation should be equivalent to the scale translate operation in draw2.
Any suggestion?
MCVE:
import java.awt.*;
import java.awt.event.*;
import java.awt.geom.*;
import java.awt.image.*;
import javax.imageio.ImageIO;
import javax.swing.*;
import java.net.URL;
public class Asteroid extends JComponent implements ActionListener {
public static final Dimension FRAME_SIZE = new Dimension(640, 480);
public double x = 200;
public double y = 200;
public int radius = 40;
private AffineTransform bgTransfo;
private final BufferedImage im2;
private JCheckBox draw1Check = new JCheckBox("Draw 1", true);
Asteroid() {
BufferedImage img = null;
try {
img = ImageIO.read(new URL("https://i.stack.imgur.com/CWJdo.png"));
} catch (Exception e) {
e.printStackTrace();
}
im2 = img;
initUI();
}
private final void initUI() {
draw1Check.addActionListener(this);
JFrame frame = new JFrame("FrameDemo");
frame.add(BorderLayout.CENTER, this);
frame.add(BorderLayout.PAGE_START, draw1Check);
frame.pack();
frame.setVisible(true);
frame.setDefaultCloseOperation(frame.EXIT_ON_CLOSE);
}
public static void main(String[] args) {
Asteroid asteroid = new Asteroid();
}
#Override
public Dimension getPreferredSize() {
return FRAME_SIZE;
}
#Override
public void paintComponent(Graphics g0) {
Graphics2D g = (Graphics2D) g0;
g.setColor(Color.white);
g.fillRect(0, 0, 640, 480);
if (draw1Check.isSelected()) {
draw1(g);
} else {
draw2(g);
}
}
public void draw1(Graphics2D g) {//Draw method - draws asteroid
double imWidth = im2.getWidth();
double imHeight = im2.getHeight();
double stretchx = (2.0 * radius) / imWidth;
double stretchy = (2.0 * radius) / imHeight;
bgTransfo = new AffineTransform();
//centering
bgTransfo.translate(-imWidth / 2.0, -imHeight / 2.0);
//scaling
bgTransfo.scale(stretchx, stretchy);
//translation
bgTransfo.translate(x / stretchx, y / stretchy);
//draw correct position
g.setColor(Color.CYAN);
g.fillOval((int) (x - radius), (int) (y - radius), (int) (2 * radius), (int) (2 * radius));
//draw sprite
g.drawImage(im2, bgTransfo, this);
}
public void draw2(Graphics2D g) {//Draw method - draws asteroid
double imWidth = im2.getWidth();
double imHeight = im2.getHeight();
double stretchx = (2.0 * radius) / imWidth;
double stretchy = (2.0 * radius) / imHeight;
bgTransfo = new AffineTransform();
//scale
bgTransfo.scale(stretchx, stretchy);
//translate and center
bgTransfo.translate((x - radius) / stretchx, (y - radius) / stretchy);
//draw correct position
g.setColor(Color.CYAN);
g.fillOval((int) (x - radius), (int) (y - radius), (int) (2 * radius), (int) (2 * radius));
//draw sprite
g.drawImage(im2, bgTransfo, this);
}
#Override
public void actionPerformed(ActionEvent e) {
repaint();
}
}
Not sure if this question is still really open. Anyway here is my answer.
I think the crucial part to understand this behavior is the difference between AffineTransform.concatenate and AffineTransform.preConcatenate methods. The thing is that resulting transformation depends on the order the sub-transformations are applied.
To quote the concatenate JavaDoc
Concatenates an AffineTransform Tx to this AffineTransform Cx in the most commonly useful way to provide a new user space that is mapped to the former user space by Tx. Cx is updated to perform the combined transformation. Transforming a point p by the updated transform Cx' is equivalent to first transforming p by Tx and then transforming the result by the original transform Cx like this: Cx'(p) = Cx(Tx(p))
compare this with preConcatenate:
Concatenates an AffineTransform Tx to this AffineTransform Cx in a less commonly used way such that Tx modifies the coordinate transformation relative to the absolute pixel space rather than relative to the existing user space. Cx is updated to perform the combined transformation. Transforming a point p by the updated transform Cx' is equivalent to first transforming p by the original transform Cx and then transforming the result by Tx like this: Cx'(p) = Tx(Cx(p))
The scale and translate methods are effectively concatenate. Lets call 3 transformations in your draw1 method C (center), S (scale), and T (translate). So your compound transformation is effectively C(S(T(p))). Particularly it means that S is applied to the T but not to the C so your C does not really center the image. A simple fix would be to change the order of S and C but I think that a more proper fix would be something like this:
public void draw3(Graphics2D g) {
//Draw method - draws asteroid
double imWidth = im2.getWidth();
double imHeight = im2.getHeight();
double stretchx = (2.0 * radius) / imWidth;
double stretchy = (2.0 * radius) / imHeight;
AffineTransform bgTransfo = new AffineTransform();
//translation
bgTransfo.translate(x, y);
//scaling
bgTransfo.scale(stretchx, stretchy);
//centering
bgTransfo.translate(-imWidth / 2.0, -imHeight / 2.0);
//draw correct position
g.setColor(Color.CYAN);
g.fillOval((int) (x - radius), (int) (y - radius), (int) (2 * radius), (int) (2 * radius));
//draw sprite
g.drawImage(im2, bgTransfo, this);
}
I think the big advantage of this method is that you don't have to re-calculate the T using stretchx/stretchy
Related
I'm drawing two shapes (circles) in a JPanel and I need to connect them with a line. I was doing this by just getting the middle point of the circle and connecting each other, easy.
The problem is that now I need to make single-direction lines, which has an "arrow" at the end, to point out which direction the line goes. So now I can't use the middle point of the circle because I need to connect each other from border to border, so the "arrow' can appear correctly.
On my last try that was the result, nothing good:
PS: In the screenshot I'm not filling the circles just to see the exact position of the line, but normally I would fill it.
I'm having trouble to calculate the exact position of the border I need to start/end my line. Anyone has any idea on how to do this?
EDIT: The circles are movable, they could be in any position, so the line should work in any case.
Okay, so basically, we can break down the problem to basic issues:
Get the angle between the two circles
Draw a line from circumference of one circle to another along this angle
Both these issues aren't hard to solve (and any time spent searching the internet would provide solutions - because that's where I got them from ;))
So, the angle between two points could be calculated using something like...
protected double angleBetween(Point2D from, Point2D to) {
double x = from.getX();
double y = from.getY();
// This is the difference between the anchor point
// and the mouse. Its important that this is done
// within the local coordinate space of the component,
// this means either the MouseMotionListener needs to
// be registered to the component itself (preferably)
// or the mouse coordinates need to be converted into
// local coordinate space
double deltaX = to.getX() - x;
double deltaY = to.getY() - y;
// Calculate the angle...
// This is our "0" or start angle..
double rotation = -Math.atan2(deltaX, deltaY);
rotation = Math.toRadians(Math.toDegrees(rotation) + 180);
return rotation;
}
And the point on a circle can be calculated using something like...
protected Point2D getPointOnCircle(Point2D center, double radians, double radius) {
double x = center.getX();
double y = center.getY();
radians = radians - Math.toRadians(90.0); // 0 becomes the top
// Calculate the outter point of the line
double xPosy = Math.round((float) (x + Math.cos(radians) * radius));
double yPosy = Math.round((float) (y + Math.sin(radians) * radius));
return new Point2D.Double(xPosy, yPosy);
}
Just beware, there's some internal modifications of the results to allow for the difference between the mathematical solution and the way that the Graphics API draws circles
Okay, so big deal you say, how does that help me? Well, I great deal actually.
You'd calculate the angle between the to circles (both to and from, you might be able to simple inverse one angle, but I have the calculation available so I used it). From that, you can calculate the point on each circle where the line will intersect and then you simply need to draw it, something like...
double from = angleBetween(circle1, circle2);
double to = angleBetween(circle2, circle1);
Point2D pointFrom = getPointOnCircle(circle1, from);
Point2D pointTo = getPointOnCircle(circle2, to);
Line2D line = new Line2D.Double(pointFrom, pointTo);
g2d.draw(line);
Runnable Example
Because I've distilled much of the calculations down to communalised properties, I've provided my test code as a runnable example. All the calculations are based on dynamic values, nothing is really hard coded. For example, you can change the size and positions of the circles and the calculations should continue to work...
import java.awt.Color;
import java.awt.Dimension;
import java.awt.EventQueue;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.Shape;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Line2D;
import java.awt.geom.Point2D;
import java.awt.geom.Rectangle2D;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.UIManager;
import javax.swing.UnsupportedLookAndFeelException;
public class Test {
public static void main(String[] args) {
new Test();
}
public Test() {
EventQueue.invokeLater(new Runnable() {
#Override
public void run() {
try {
UIManager.setLookAndFeel(UIManager.getSystemLookAndFeelClassName());
} catch (ClassNotFoundException | InstantiationException | IllegalAccessException | UnsupportedLookAndFeelException ex) {
ex.printStackTrace();
}
JFrame frame = new JFrame("Testing");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.add(new TestPane());
frame.pack();
frame.setLocationRelativeTo(null);
frame.setVisible(true);
}
});
}
public class TestPane extends JPanel {
private Ellipse2D circle1;
private Ellipse2D circle2;
private Point2D drawTo;
public TestPane() {
circle1 = new Ellipse2D.Double(10, 10, 40, 40);
circle2 = new Ellipse2D.Double(100, 150, 40, 40);
//addMouseMotionListener(new MouseAdapter() {
// #Override
// public void mouseMoved(MouseEvent e) {
// drawTo = new Point2D.Double(e.getPoint().x, e.getPoint().y);
// repaint();
// }
//});
}
protected Point2D center(Rectangle2D bounds) {
return new Point2D.Double(bounds.getCenterX(), bounds.getCenterY());
}
protected double angleBetween(Shape from, Shape to) {
return angleBetween(center(from.getBounds2D()), center(to.getBounds2D()));
}
protected double angleBetween(Point2D from, Point2D to) {
double x = from.getX();
double y = from.getY();
// This is the difference between the anchor point
// and the mouse. Its important that this is done
// within the local coordinate space of the component,
// this means either the MouseMotionListener needs to
// be registered to the component itself (preferably)
// or the mouse coordinates need to be converted into
// local coordinate space
double deltaX = to.getX() - x;
double deltaY = to.getY() - y;
// Calculate the angle...
// This is our "0" or start angle..
double rotation = -Math.atan2(deltaX, deltaY);
rotation = Math.toRadians(Math.toDegrees(rotation) + 180);
return rotation;
}
protected Point2D getPointOnCircle(Shape shape, double radians) {
Rectangle2D bounds = shape.getBounds();
// Point2D point = new Point2D.Double(bounds.getX(), bounds.getY());
Point2D point = center(bounds);
return getPointOnCircle(point, radians, Math.max(bounds.getWidth(), bounds.getHeight()) / 2d);
}
protected Point2D getPointOnCircle(Point2D center, double radians, double radius) {
double x = center.getX();
double y = center.getY();
radians = radians - Math.toRadians(90.0); // 0 becomes th?e top
// Calculate the outter point of the line
double xPosy = Math.round((float) (x + Math.cos(radians) * radius));
double yPosy = Math.round((float) (y + Math.sin(radians) * radius));
return new Point2D.Double(xPosy, yPosy);
}
#Override
public Dimension getPreferredSize() {
return new Dimension(200, 200);
}
protected void paintComponent(Graphics g) {
super.paintComponent(g);
Graphics2D g2d = (Graphics2D) g.create();
g2d.draw(circle1);
g2d.draw(circle2);
// This was used for testing, it will draw a line from circle1 to the
// drawTo point, which, if enabled, is the last known position of the
// mouse
//if (drawTo != null) {
// Point2D pointFrom = center(circle1.getBounds2D());
// g2d.setColor(Color.RED);
// g2d.draw(new Line2D.Double(drawTo, pointFrom));
//
// double from = angleBetween(pointFrom, drawTo);
// System.out.println(NumberFormat.getNumberInstance().format(Math.toDegrees(from)));
//
// Point2D poc = getPointOnCircle(circle1, from);
// g2d.setColor(Color.BLUE);
// g2d.draw(new Line2D.Double(poc, drawTo));
//}
double from = angleBetween(circle1, circle2);
double to = angleBetween(circle2, circle1);
Point2D pointFrom = getPointOnCircle(circle1, from);
Point2D pointTo = getPointOnCircle(circle2, to);
g2d.setColor(Color.RED);
Line2D line = new Line2D.Double(pointFrom, pointTo);
g2d.draw(line);
g2d.dispose();
}
}
}
Arrow head
The intention is to treat the arrow head as a separate entity. The reason is because it's just simpler that way, you also get a more consistent result regardless of the distance between the objects.
So, to start with, I define a new Shape...
public class ArrowHead extends Path2D.Double {
public ArrowHead() {
int size = 10;
moveTo(0, size);
lineTo(size / 2, 0);
lineTo(size, size);
}
}
Pretty simple really. It just creates two lines, which point up, meeting in the middle of the available space.
Then in the paintComponent method, we perform some AffineTransform magic using the available information we already have, namely
The point on our target circles circumference
The angle to our target circle
And transform the ArrowHead shape...
g2d.setColor(Color.MAGENTA);
ArrowHead arrowHead = new ArrowHead();
AffineTransform at = AffineTransform.getTranslateInstance(
pointTo.getX() - (arrowHead.getBounds2D().getWidth() / 2d),
pointTo.getY());
at.rotate(from, arrowHead.getBounds2D().getCenterX(), 0);
arrowHead.transform(at);
g2d.draw(arrowHead);
Now, because I'm crazy, I also tested the code by drawing an arrow pointing at our source circle, just to prove that the calculations would work...
// This just proofs that the previous calculations weren't a fluke
// and that the arrow can be painted pointing to the source object as well
g2d.setColor(Color.GREEN);
arrowHead = new ArrowHead();
at = AffineTransform.getTranslateInstance(
pointFrom.getX() - (arrowHead.getBounds2D().getWidth() / 2d),
pointFrom.getY());
at.rotate(to, arrowHead.getBounds2D().getCenterX(), 0);
arrowHead.transform(at);
g2d.draw(arrowHead);
Let the first circle center coordinates are AX, AY, radius AR, and BX, BY, BR for the second circle.
Difference vector
D = (DX, DY) = (BX - AX, BY - AY)
Normalized
d = (dx, dy) = (DX / Length(D), DY / Length(D))
Start point of arrow
S = (sx, sy) = (AX + dx * AR, AY + dy * AR)
End point
E = (ex, ey) = (BX - dx * BR, BY - dy * BR)
Example:
AX = 0 AY = 0 AR = 1
BX = 4 BY = 3 BR = 2
D = (4, 3)
Length(D) = 5
dx = 4/5
dy = 3/5
sx = 0.8 sy = 0.6
ex = 4 - 2 * 4/5 = 12/5 = 2.4
ey = 3 - 2 * 3/5 = 9/5 = 1.8
Looking at the Screenshot, I think you need to find the top right corner of circle A, and then add half of the total distance to the bottom to y. Next, find the top right corner of circle B, and add half of the distance to the top left corner to x. Finally, make a line connecting the two, and render an arrow on the end of it.
Like this:
private int x1, y1, x2, y2 width = 20, height = 20;
private void example(Graphics g) {
// Set x1, x2, y1, and y2 to something
g.drawOval(x1, y1, width, height);
g.drawOval(x2, y2, width, height);
g.drawLine(x1, y1 + (height/2), x2 + (width/2), y2);
g.drawImage(/*Image of an arrow*/, (x2 + width/2)-2, y2);
}
My trick:
Let the two centers be C0 and C1. Using complex numbers, you map these two points to a horizontal segment from the origin by the transformation
P' = (P - C0) (C1 - C0)* / L
where * denotes conjugation and L = |C1 - C0|. (If you don't like the complex number notation, you can express this with matrices as well.)
Now the visible part of the segment goes from (R0, 0) to (L - R1, 0). The two other vertices of the arrow are at (L - R1 - H, W) and (L - R1 - H, -W) for an arrowhead of height H and width 2W.
By applying the inverse transform you get the original coordinates,
P = C0 + L P' / (C1 - C0)*.
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();
}
}
}
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)));
I have a simple game animation made in java. It is of three planets rotating around an axis. Each planet is an instance of the class Planet and they have an update method which, every time it is run, the orbit's rotation angle increases and the position is updated acording to the angle and a few predetermined variables like distance from the "sun". From here, you can determine the position of the planet with simple trigonometry. In this case:
Sin(angle) = op/hyp = y/distance
therefore
Sin(angle)*hyp = op
Cos(angle) = ady/hyp = x/distance
therefore
Cos(angle)*hyp = ady
where the hypothenuse is the distance to the sun and the adyacent and oposite sides are the x and y values respectively. I figured this would work, until I tried it out. It gave me an eliptical rotation. Here is the code that updates the planet's rotation (orbit center is the sun's center position):
position.x = ((Math.cos(orbitAngle) * orbitDistance) + orbitCenter.x);
position.y = ((Math.sin(orbitAngle) * orbitDistance) + orbitCenter.y);
What could be wrong?
EDIT:
I realized this problem by placing an object with its center in the position specified by orbit center
Here is the full code of the planet class:
public class Planet
{
protected Image image;
protected Vector2 position;
protected final Vector2 orbitCenter;
protected float rotation;
protected Vector2 imageSize;
protected final float rotationSpeed;
protected final float orbitDistance;
protected float orbitAngle;
protected final float orbitAngleSpeed;
public Planet(Image image, float orbitDistance, float rotationSpeed, Vector2 orbitCenter, float orbitAngleSpeed)
{
this.image = image;
this.position = new Vector2(orbitCenter.x, orbitCenter.y - orbitDistance);
this.orbitCenter = orbitCenter;
this.rotation = 0;
this.imageSize = new Vector2(image.getWidth(null), image.getHeight(null));
this.rotationSpeed = rotationSpeed;
this.orbitDistance = orbitDistance;
this.isMouseOver = false;
this.isPressed = false;
this.orbitAngle = 0;
this.orbitAngleSpeed = orbitAngleSpeed;
}
public void Update()
{
orbitAngle += orbitAngleSpeed;
if(orbitAngle > Math.PI * 2)
orbitAngle %= Math.PI * 2;
position.x = ((Math.cos(orbitAngle) * orbitDistance) + orbitCenter.x);
position.y = ((Math.sin(orbitAngle) * orbitDistance) + orbitCenter.y);
}
public void Draw(Graphics2D g)
{
g.rotate(rotation, position.x + imageSize.x / 2, position.y + imageSize.y / 2);
g.drawImage(image, (int)position.x, (int)position.y, null);
g.rotate(-rotation, position.x + imageSize.x / 2, position.y + imageSize.y / 2);
}
}
Here is the class that tests the planet class. You can download the jar it needs to work from here: foxtailgames.net/AppletSource.jar. Here is the tester class (you will probably have to import a few things though if you do it in eclipse or netbeans it will give you the imports):
public class PlanetTest extends AppletCore
{
public void resizeScreen() {resize(800, 800);}
Image center;
Planet p;
public void LoadContent()
{
p = new Planet(loadImage("images/GameMenuCircles/Planet1.png"), 100f, 0.02f, new Vector2(400, 400), 0.005f);
center = loadImage("images/GameMenuCircles/Center.png");
}
public void Update(GameTime gameTime)
{
p.Update();
}
public void Draw(Graphics2D g, GameTime gameTime)
{
g.drawImage(center, 400 - center.getWidth(null)/2, 400 - center.getWidth(null)/2, null);
p.Draw(g);
g.setColor(Color.green);
g.drawLine(400, 400, 500, 400);
g.drawLine(400, 400, 400, 500);
g.drawLine(400, 400, 300, 400);
g.drawLine(400, 400, 400, 300);
g.setColor(Color.white);
}
}
Your rotation is set to 0 in the above so i assume you are not rotating the picture at the moment. What i think is happening is the orbit circle you are producing is fine, but the location you are drawing the planet is off.
Below is an image of how Swing would draw the circle, so the overlap you experience is because of this.
You need to adjust the position you draw the circle by how half the width so it sits over the center of the orbit.
EDIT: You've alter some code but what you need to change is the draw method of he planet:
public void Draw(Graphics2D g) {
g.rotate(rotation, position.x + imageSize.x / 2, position.y + imageSize.y / 2);
g.drawImage(image, (int)position.x, (int)position.y, null); //here
g.rotate(-rotation, position.x + imageSize.x / 2, position.y + imageSize.y / 2);
}
This line needs to be:
g.drawImage(image, (int)position.x - imageSize.width, (int)position.y - imageSizee.height, null); //here
You might compare your result to this AnimationTest that uses the same parametric equation of a circle. Because the orbital radius is a function of the enclosing panel's dimensions, the orbit is circular only when w equals h. Resize the frame, or set HIGH = WIDE, to see the effect.
I'm currently implementing a swing JComponent as an image viewer with the ability to zoom, rotate and display the image centered and all of this animated. I have implemented all those features, but have a problem during zooming out from the right bottom corner of the image.
Everytime the animation starts to stutter and only from the right or bottom edge of the panel.
#Override
protected void paintComponent(Graphics g) {
super.paintComponent(g);
Graphics2D g2d = (Graphics2D) g;
if (this.workingCopy != null) {
g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);
g2d.setRenderingHint(RenderingHints.KEY_INTERPOLATION, RenderingHints.VALUE_INTERPOLATION_BILINEAR);
Point2D center = new Point2D.Double((getPreferredSize().width) / 2, (getPreferredSize().height) / 2);
g2d.scale(getZoom(), getZoom());
g2d.rotate(Math.toRadians(getRotation()), (center.getX() + 0) / getZoom(), (center.getY() + 0) / getZoom());
g2d.drawImage(this.workingCopy,
(int) Math.round(((getPreferredSize().width - (image.getWidth() * getZoom())) / 2) / getZoom()),
(int) Math.round(((getPreferredSize().height - (image.getHeight() * getZoom())) / 2) / getZoom()), null);
}
}
public synchronized void setZoom(final double zoom, boolean animated, final Point point) {
final double oldZoom = getZoom();
final Dimension viewSize = getPreferredSize();
final Rectangle viewRect = getVisibleRect();
// get relative point
double relX = viewRect.getX() / viewSize.getWidth();
double relY = viewRect.getY() / viewSize.getHeight();
// new size
double newViewSizeWidth = (getImageBounds().getWidth() / oldZoom) * zoom;
double newViewSizeHeight = (getImageBounds().getHeight() / oldZoom) * zoom;
double deltaDiffX = (point.getX() - viewRect.getX()) / viewSize.getWidth();
double deltaDiffY = (point.getY() - viewRect.getY()) / viewSize.getHeight();
double newDiffX = newViewSizeWidth * deltaDiffX;
double newDiffY = newViewSizeHeight * deltaDiffY;
double viewPositionX = (newViewSizeWidth * relX) + newDiffX - (point.getX() - viewRect.getX());
double viewPositionY = (newViewSizeHeight * relY) + newDiffY - (point.getY() - viewRect.getY());
final Point newPoint = new Point((int) Math.round(viewPositionX), (int) Math.round(viewPositionY));
if (animated && !zooming) {
Animator animator = new Animator(getAnimationSpeed(), new TimingTargetAdapter() {
#Override
public void begin() {
super.begin();
zooming = true;
}
#Override
public void timingEvent(final float fraction) {
super.timingEvent(fraction);
double zoomDiff = zoom - oldZoom;
setZoom(oldZoom + (fraction * zoomDiff),
new Point(
(int) Math.round(viewRect.getX() - (viewRect.getX() - newPoint.getX()) * fraction),
(int) Math.round(viewRect.getY() - (viewRect.getY() - newPoint.getY()) * fraction)));
}
#Override
public void end() {
super.end();
zooming = false;
}
});
animator.start();
} else {
setZoom(zoom, newPoint);
}
}
Can someone point out what I do I do wrong or forget to concider for the zoom animation ?
Everything works except the the stuttering during the animated zoom out.
Thanks in advance for your help.
Ok, I found the problem by chance. The problem was the JPanel still had a LayoutManager and this caused the problem when zooming out from the right/bottom corner.
After I set the LayoutManager to null, everything worked how it should.