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reposition object in circle

As you can see on the image, I have a p1 and p2 objects with (x,y) coordinates which I know the values, and I know radius of all these circle objects.
However, I want to calculate new position x,y which would be p3 center point. Basically, as you can see it's p2 position + radius.
I am doing this for java game which is based on libgdx. I would appreciate any math or java language directions/examples.

See code comments for explanation.
import java.awt.*;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Line2D;
import java.awt.geom.Point2D;
import javax.swing.*;
class CenteredCircle extends Ellipse2D.Double {
CenteredCircle(Point2D.Double p, double radius) {
super(p.x - radius, p.y - radius, 2 * radius, 2 * radius);
}
}
public class CircleDemo extends JFrame {
public CircleDemo() {
int width = 640; int height = 480;
setSize(new Dimension(width, height));
setLocationRelativeTo(null);
setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
setVisible(true);
JPanel p = new JPanel() {
#Override
public void paintComponent(Graphics g) {
Graphics2D g2d = (Graphics2D) g;
// center p1
Point2D.Double p1 = new Point2D.Double(getSize().width/2, getSize().height/2);
double radius = 130.0;
// big circle
Shape circle2 = new CenteredCircle(p1, radius);
g2d.draw(circle2);
// 12 small circles
for (int angle = 0; angle < 360; angle += 30) {
// this is the magic part
// a polar co-ordinate has a length and an angle
// by changing the angle we rotate
// the transformed co-ordinate is the center of the small circle
Point2D.Double newCenter = polarToCartesian(radius, angle);
// draw line just for visualization
Line2D line = new Line2D.Double(p1.x, p1.y, p1.x + newCenter.x, p1.y+ newCenter.y);
g2d.draw(line);
// draw the small circle
Shape circle = new CenteredCircle(
new Point2D.Double(p1.x + newCenter.x, p1.y + newCenter.y),
radius/4);
g2d.draw(circle);
}
}
};
setTitle("Circle Demo");
getContentPane().add(p);
}
public static void main(String arg[]) {
SwingUtilities.invokeLater(new Runnable() {
#Override
public void run() {
new CircleDemo();
}
});
}
static Point2D.Double polarToCartesian(double r, double theta) {
theta = (theta * Math.PI) / 180.0; // multiply first, then divide to keep error small
return new Point2D.Double(r * Math.cos(theta), r * Math.sin(theta));
}
// not needed, just for completeness
public static Point2D.Double cartesianToPolar(double x, double y) {
return new Point2D.Double(Math.sqrt(x * x + y * y), (Math.atan2(y, x) * 180) / Math.PI);
}
}

Now using libgdx for the graphics. Thus no need for polar co-ordinates, on the outside.
I am not doing frame rate relative animation. Therefore, this is no perfect match to your code.
Using the following calculation (if (theta >= 360) { theta = 0.0f; }) at the end of the render method will let the animation restart with its original value.
package org.demo;
import com.badlogic.gdx.ApplicationAdapter;
import com.badlogic.gdx.math.Vector2;
import com.badlogic.gdx.utils.ScreenUtils;
import com.badlogic.gdx.Gdx;
import com.badlogic.gdx.graphics.glutils.ShapeRenderer;
public class CircleDemo extends ApplicationAdapter {
ShapeRenderer shapeRenderer;
float theta = 0.0f;
#Override
public void create () {
shapeRenderer = new ShapeRenderer();
}
#Override
public void render () {
ScreenUtils.clear(0, 0.4f, 0.4f, 1);
Vector2 p1 = new Vector2( Gdx.graphics.getWidth() / 2.0f , Gdx.graphics.getHeight() / 2.0f);
Vector2 smallCircleCenter = new Vector2(150.0f, 0.0f);
smallCircleCenter.add(p1); // translate center by p1
shapeRenderer.begin(ShapeRenderer.ShapeType.Line);
// static lines and circles
for (int angle = 0; angle < 360; angle += 30) {
Vector2 lineEnd = new Vector2(smallCircleCenter);
lineEnd.rotateAroundDeg(p1, angle);
shapeRenderer.line(p1, lineEnd);
shapeRenderer.circle(lineEnd.x, lineEnd.y, 20);
}
// animated line and circle in red
shapeRenderer.setColor(0.75f, 0, 0, 1);
Vector2 movingCircleCenter = new Vector2(smallCircleCenter);
movingCircleCenter.rotateAroundDeg(p1, theta);
shapeRenderer.line(p1, movingCircleCenter);
shapeRenderer.circle(movingCircleCenter.x, movingCircleCenter.y, 20);
shapeRenderer.setColor(1, 1, 1, 1);
shapeRenderer.end();
theta++;
// for the screenshot stop at 90 degrees
if (theta >= 90) {
theta = 90.0f;
}
}
#Override
public void dispose () {
shapeRenderer.dispose();
}
}

So I wrote a test in my project, based on your approach:
package com.bigbang.test.impl;
import com.badlogic.gdx.graphics.glutils.ShapeRenderer;
import com.badlogic.gdx.math.Vector2;
import com.badlogic.gdx.utils.Array;
import com.bigbang.Game;
import com.bigbang.graphics.g2d.shapes.impl.Ellipse;
import com.bigbang.graphics.g2d.shapes.impl.Line;
import com.bigbang.graphics.gl.Color;
import com.bigbang.math.BBMath;
public class PolarToCartesianTest extends AbstractTest {
private Array<GraphicalObject> graphicalObjectArray;
private GraphicalObject dynamicGraphicalObject;
private float radius, smallCircleRadius;
private float centerX, centerY;
public PolarToCartesianTest(Game game) {
super(game);
}
#Override
public void create() {
radius = 200f;
centerX = game.getScreenController().getScreenWidth() / 2;
centerY = game.getScreenController().getScreenHeight() / 2;
smallCircleRadius = radius / 4;
graphicalObjectArray = new Array<>();
for (int angle = 0; angle < 360; angle += 30) {
GraphicalObject graphicalObject = new GraphicalObject();
graphicalObject.angle = angle;
graphicalObjectArray.add(graphicalObject);
}
dynamicGraphicalObject = new GraphicalObject();
game.getCameraController().getCamera().position.x = game.getScreenController().getScreenWidth() / 2;
game.getCameraController().getCamera().position.y = game.getScreenController().getScreenHeight() / 2;
}
#Override
public void update(float deltaTime) {
for (GraphicalObject graphicalObject : graphicalObjectArray) {
Vector2 polarToCartesianPosition = BBMath.polarToCartesian(radius, graphicalObject.angle);
graphicalObject.line.x1 = centerX + 0;
graphicalObject.line.y1 = centerY + 0;
graphicalObject.line.x2 = centerX + polarToCartesianPosition.x;
graphicalObject.line.y2 = centerY + polarToCartesianPosition.y;
graphicalObject.line.color = Color.WHITE_COLOR;
graphicalObject.ellipse.x = centerX + polarToCartesianPosition.x;
graphicalObject.ellipse.y = centerY + polarToCartesianPosition.y;
graphicalObject.ellipse.width = 2 * smallCircleRadius;
graphicalObject.ellipse.height = 2 * smallCircleRadius;
graphicalObject.ellipse.color = Color.WHITE_COLOR;
}
float shift = 0;
float theta = (shift * smallCircleRadius) * (centerY / centerX);
Vector2 pos = BBMath.polarToCartesian(radius, theta);
dynamicGraphicalObject.line.color = new Color(Color.RED);
dynamicGraphicalObject.line.x1 = centerX + 0;
dynamicGraphicalObject.line.y1 = centerY + 0;
dynamicGraphicalObject.line.x2 = centerX + pos.x;
dynamicGraphicalObject.line.y2 = centerY + pos.y;
dynamicGraphicalObject.ellipse.x = centerX + pos.x;
dynamicGraphicalObject.ellipse.y = centerY + pos.y;
dynamicGraphicalObject.ellipse.width = 2 * smallCircleRadius;
dynamicGraphicalObject.ellipse.height = 2 * smallCircleRadius;
dynamicGraphicalObject.ellipse.color = new Color(Color.RED);
}
#Override
public void draw() {
game.getShapeRenderer().begin(ShapeRenderer.ShapeType.Line);
for (GraphicalObject graphicalObject : graphicalObjectArray) {
graphicalObject.line.draw();
graphicalObject.ellipse.draw();
}
dynamicGraphicalObject.line.draw();
dynamicGraphicalObject.ellipse.draw();
game.getShapeRenderer().end();
}
class GraphicalObject {
Ellipse ellipse;
Line line;
float angle;
public GraphicalObject() {
this.ellipse = new Ellipse(game);
this.line = new Line(game);
}
}
}
Which is same math like in your example, with some modifications:
However, you can notice I have this dynamicGraphicalObject (red circle), which I want to shift position around circle by using theta value calculated as (shift * smallCircleRadius) * (centerY / centerX);. This works perfect for shift=0 value. It's properly positioned/overlapping white. But if I would change shift variable to 1, 2, 3, or 11, you can see that it's not precisely aligned with white circles. Is this floating point issue or am I missing something in calculation of theta ?
shift values used: 2,6 and 11 in order by images
--
SOLUTION:
float fixPrecision = 1.1f;
float theta = (shift * fixPrecision) + ((shift * smallCircleRadius) * (centerY / centerX));

Draw A line around the circle based on angle

How i want it to look like:
The circles move along with the arrow around the center circle.
How it is looking at the moment:
I want to draw a 2 lines between two circles. however these circles move all around the screen and i dont know a methodical way to draw lines between them. For example, I always have the top left corner of the two circles i want to draw a line between but thats it. I need help to draw a line in java that will adjust based on its position so that the lines move around the edge as the circles move
for (int z = 0; z < lines.size(); z++) {
if (lines.get(z).getfState().equals(states.get(a).getText()) && !lines.get(z).getfState().equals(lines.get(z).getnState())) {
transition.get(z).setIcon(null);
for (int x = 0; x < states.size(); x++) {
if (states.get(x).getText().equals(lines.get(z).getnState()) && states.get(a).getText().equals(lines.get(z).getfState())) {
int xbegin = (int) states.get(a).getBounds().getX();
int ybegin = (int) states.get(a).getBounds().getY();
int xend = (int) states.get(x).getBounds().getX();
int yend = (int) states.get(x).getBounds().getY();
if (xbegin > xend) {
Path2D.Double rect = new Path2D.Double(drawArrowLine(xbegin, ybegin, xend, yend, 10, 7));
OutlineIcon transit = new OutlineIcon(drawArrowLine(xbegin, ybegin, xend + 30, yend, 10, 7), Color.BLACK);
transition.get(z).setIcon(transit);
transition.get(z).setBounds(rect.getBounds().x, rect.getBounds().y, rect.getBounds().width + 20, rect.getBounds().height + 20);
jPanel2.revalidate();
jPanel2.repaint();
} else {
if (xend - xbegin < 75) {
xbegin = xbegin - 20;
xend = xend - 20;
}
xbegin = xbegin + 5;
ybegin = ybegin + 25;
xend = xend + 5;
yend = yend + 25;
Path2D.Double rect = new Path2D.Double(drawArrowLine(xbegin, ybegin, xend - 10, yend, 10, 7));
OutlineIcon transit = new OutlineIcon(drawArrowLine(xbegin, ybegin, xend - 10, yend, 10, 7), Color.BLACK);
transition.get(z).setIcon(transit);
transition.get(z).setBounds(rect.getBounds().x, rect.getBounds().y, rect.getBounds().width + 20, rect.getBounds().height + 20);
jPanel2.revalidate();
jPanel2.repaint();
}
}
}
} else if (lines.get(z).getnState().equals(states.get(a).getText()) && !lines.get(z).getfState().equals(lines.get(z).getnState())) {
transition.get(z).setIcon(null);
for (int x = 0; x < states.size(); x++) {
if (states.get(x).getText().equals(lines.get(z).getfState()) && states.get(a).getText().equals(lines.get(z).getnState())) {
int xend = (int) states.get(a).getBounds().getX();
int yend = (int) states.get(a).getBounds().getY();
int xbegin = (int) states.get(x).getBounds().getX();
int ybegin = (int) states.get(x).getBounds().getY();
if (xbegin > xend) {
Path2D.Double rect2 = new Path2D.Double(drawArrowLine(xbegin, ybegin, xend, yend, 10, 7));
OutlineIcon transit = new OutlineIcon(drawArrowLine(xbegin, ybegin, xend + 30, yend, 10, 7), Color.BLACK);
transition.get(z).setIcon(transit);
transition.get(z).setBounds(rect2.getBounds().x, rect2.getBounds().y, rect2.getBounds().width + 20, rect2.getBounds().height + 20);
jPanel2.revalidate();
jPanel2.repaint();
} else {
if (xend - xbegin < 75) {
xbegin = xbegin + 20;
xend = xend + 20;
}
xbegin = xbegin + 5;
ybegin = ybegin + 25;
xend = xend + 5;
yend = yend + 25;
Path2D.Double rect2 = new Path2D.Double(drawArrowLine(xbegin, ybegin, xend - 10, yend, 10, 7));
OutlineIcon transit = new OutlineIcon(drawArrowLine(xbegin, ybegin, xend - 10, yend, 10, 7), Color.BLACK);
transition.get(z).setIcon(transit);
transition.get(z).setBounds(rect2.getBounds().x, rect2.getBounds().y, rect2.getBounds().width + 20, rect2.getBounds().height + 20);
jPanel2.revalidate();
jPanel2.repaint();
}
}
}
public static Path2D.Double createArrowForLine(
int fromPointx,
int fromPointy,
double rotationDeg,
double length,
double wingsAngleDeg) {
double ax = fromPointx;
double ay = fromPointy;
double radB = Math.toRadians(-rotationDeg + wingsAngleDeg);
double radC = Math.toRadians(-rotationDeg - wingsAngleDeg);
Path2D resultPath = new Path2D.Double();
resultPath.moveTo(length * Math.cos(radB) + ax, length * Math.sin(radB) + ay);
resultPath.lineTo(ax, ay);
resultPath.lineTo(length * Math.cos(radC) + ax, length * Math.sin(radC) + ay);
return (Path2D.Double) resultPath;
}

Although there have been some hiccups in the question, and the code provided so far looks questionable, the core of the question as it stands now is quite interesting...
There are different options for solving this. From the images that you provided so far, it looks like the circles always have the same size, which makes things far simpler. For circles with different sizes, you'd really have to compute the tangents of the circles, in the desired direction, mutually considering the radius of the other circle. Of course, this is possible, but a bit less trivial.
For the case that you have equally-sized circles, you can
Compute the difference of the centers of two circles
Divide this by the distance, to obtain the (normalized) direction
Rotate this direction by 90°
Scale the rotated direction vector by the radius
Add the scaled and rotated vector to the circle center
This will yield one endpoint of such a line. The rotation about 90° can be done once in clockwise and once in counterclockwise direction, to obtain the "upper" and "lower" endpoint for the line, respectively.
Image was updated with the EDIT, see below
The actual computation is done in the computeLine method of the MCVE below. Note that this example uses the "simple" approach, although it uses circles of slightly different sizes. The effect is that, when the difference between the sizes of two circles is too large (compared to the distance between the circles, basically), then the lines may slightly intersect the circles. But the solution should be a reasonable trade-off between simplicity and general applicability. Particularly, for equally-sized circles, there will be no intersections at all.
Code was updated with the EDIT, see below
import java.awt.Color;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.RenderingHints;
import java.awt.Shape;
import java.awt.event.MouseEvent;
import java.awt.event.MouseListener;
import java.awt.event.MouseMotionListener;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Line2D;
import java.awt.geom.Path2D;
import java.awt.geom.Point2D;
import java.util.ArrayList;
import java.util.List;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
public class LinesAtCirclesTest
{
public static void main(String[] args)
{
SwingUtilities.invokeLater(new Runnable()
{
#Override
public void run()
{
createAndShowGUI();
}
});
}
private static void createAndShowGUI()
{
JFrame f = new JFrame();
f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
JPanel linesAtCirclesTestPanel = new LinesAtCirclesTestPanel();
f.getContentPane().add(linesAtCirclesTestPanel);
f.setSize(400,400);
f.setLocationRelativeTo(null);
f.setVisible(true);
}
}
class LinesAtCirclesTestPanel extends JPanel
implements MouseListener, MouseMotionListener
{
private Point2D draggedCenter;
private List<Point2D> centers = new ArrayList<Point2D>();
private List<Double> radii = new ArrayList<Double>();
public LinesAtCirclesTestPanel()
{
addMouseListener(this);
addMouseMotionListener(this);
addCircle(100, 100, 30);
addCircle(200, 300, 50);
addCircle(300, 200, 40);
}
private void addCircle(double x, double y, double radius)
{
centers.add(new Point2D.Double(x,y));
radii.add(radius);
}
#Override
protected void paintComponent(Graphics gr)
{
super.paintComponent(gr);
Graphics2D g = (Graphics2D)gr;
g.setRenderingHint(
RenderingHints.KEY_ANTIALIASING,
RenderingHints.VALUE_ANTIALIAS_ON);
for (int i=0; i<centers.size(); i++)
{
Point2D center0 = centers.get(i);
double radius0 = radii.get(i);
Shape ellipse = new Ellipse2D.Double(
center0.getX() - radius0, center0.getY() - radius0,
radius0 + radius0, radius0 + radius0);
g.setColor(Color.LIGHT_GRAY);
g.fill(ellipse);
g.setColor(Color.BLACK);
g.draw(ellipse);
}
g.setColor(Color.RED);
for (int i=0; i<centers.size() - 1; i++)
{
Point2D center0 = centers.get(i);
double radius0 = radii.get(i);
Point2D center1 = centers.get(i+1);
double radius1 = radii.get(i+1);
g.draw(createArrow(computeLine(center0, radius0, center1, radius1, true)));
g.draw(createArrow(computeLine(center0, radius0, center1, radius1, false)));
}
}
private static Shape createArrow(Line2D line)
{
double dx = line.getX2() - line.getX1();
double dy = line.getY2() - line.getY1();
double angleToX = Math.atan2(dy, dx);
final double angleRad = Math.toRadians(30);
final double headLength = 20.0f;
double dxL = Math.cos(Math.PI + angleToX + angleRad) * headLength;
double dyL = Math.sin(Math.PI + angleToX + angleRad) * headLength;
double dxR = Math.cos(Math.PI + angleToX - angleRad) * headLength;
double dyR = Math.sin(Math.PI + angleToX - angleRad) * headLength;
Path2D arrow = new Path2D.Double();
arrow.moveTo(line.getX1(), line.getY1());
arrow.lineTo(line.getX2(), line.getY2());
arrow.lineTo(line.getX2() + dxL, line.getY2() + dyL);
arrow.moveTo(line.getX2(), line.getY2());
arrow.lineTo(line.getX2() + dxR, line.getY2() + dyR);
return arrow;
}
private static Line2D computeLine(
Point2D center0, double radius0,
Point2D center1, double radius1,
boolean upper)
{
double dx = center1.getX() - center0.getX();
double dy = center1.getY() - center0.getY();
double invLength = 1.0 / Math.hypot(dx, dy);
double dirX = dx * invLength;
double dirY = dy * invLength;
double rotDirX = dirY;
double rotDirY = -dirX;
if (upper)
{
rotDirX = -dirY;
rotDirY = dirX;
}
double x0 = center0.getX() + rotDirX * radius0;
double y0 = center0.getY() + rotDirY * radius0;
double x1 = center1.getX() + rotDirX * radius1;
double y1 = center1.getY() + rotDirY * radius1;
if (upper)
{
return new Line2D.Double(x1, y1, x0, y0);
}
return new Line2D.Double(x0, y0, x1, y1);
}
#Override
public void mousePressed(MouseEvent e)
{
draggedCenter = null;
for (int i=0; i<centers.size(); i++)
{
Point2D center = centers.get(i);
double radius = radii.get(i);
if (e.getPoint().distance(center) < radius)
{
draggedCenter = center;
}
}
}
#Override
public void mouseReleased(MouseEvent e)
{
draggedCenter = null;
}
#Override
public void mouseDragged(MouseEvent e)
{
if (draggedCenter == null)
{
return;
}
draggedCenter.setLocation(e.getPoint());
repaint();
}
#Override
public void mouseMoved(MouseEvent e)
{
// Not used
}
#Override
public void mouseClicked(MouseEvent e)
{
// Not used
}
#Override
public void mouseEntered(MouseEvent e)
{
// Not used
}
#Override
public void mouseExited(MouseEvent e)
{
// Not used
}
}
EDIT in response to the comment:
The original code computed Line2D objects. Creating an arrow from a line is, in the simplest case, basically done with a bit of trigonometry, and many resources exist for this on the web.
In response to the comment, I extended the example to show simple arrows, as depicted in the above image.
However, when taking a closer look at this, one may notice several degrees of freedom for such an arrow:
Should the head length be absolute or relative to the arrow?
Should the head width be absolute or relative to the arrow?
(Or: What should be the angle of the arrow head?)
Should the arrow head be filled, or consist of lines?
Should the "trunk" of the arrow be a single line, or an outline shape?
What should be the width of the trunk?
...
In order to cover some of these degrees of freedom, I created an ArrowCreator class a while ago, and there's also a sample showing how it may be used.

Drawing an isosceles triangle/arrow with two points

I have been trying to figure this one out for some time now, I am making a program that uses a triangle as an arrow and been trying to figure out how to make an arrow with two points, meaning that that the first point would be at the midpoint of the base of the triangle, while the second point would be at the tip facing the direction away from the first point.
This crude paint drawing should help figure out what I am talking about
http://i.stack.imgur.com/f3ktz.png (Would put direct images but don't have enough rep)
Now, I went through and tried figuring out how to calculate those other two endpoints of the triangle so I could make the polygon, but I am not doing it correctly because I am getting a triangle that isn't isosceles and the endpoints don't create a line perpendicular to the original line.
What I am currently getting (With some drawing over it to show the points)
http://i.stack.imgur.com/dljsn.png
My current code
public class Triangle extends Shape{
private boolean assigned = false;
private int[] x;
private int[] y;
public Triangle(Point startPoint, Point endPoint){
this.startPoint = startPoint;
this.endPoint = endPoint;
}
#Override
public void draw(Graphics g) {
g.setColor(Color.white);
if(!assigned) {
x = new int[3];
y = new int[3];
double distance = startPoint.distance(endPoint);
double halfDistance = distance/2;
double angle = getAngle(startPoint,endPoint)- Math.PI/2.0;
x[0] = (int)endPoint.getX();
y[0] = (int)endPoint.getY();
x[1] = (int)((Math.sin(angle)*halfDistance) + startPoint.getX());
y[1] = (int)((Math.cos(angle)*halfDistance) + startPoint.getY());
x[2] = (int)(startPoint.getX() - (Math.sin(angle)*halfDistance));
y[2] = (int)(startPoint.getY() - (Math.cos(angle)*halfDistance));
assigned = true;
if(endPoint.distance(x[1],y[1]) == (Math.sqrt(5)*halfDistance))
System.out.println("DEBUG: Confirm Correct 1");
if(endPoint.distance(x[1],y[1]) == endPoint.distance(x[2],y[2]))
System.out.println("DEBUG: Confirm Correct 2");
}
g.fillPolygon(x,y,3);
g.setColor(Color.blue);
}
private double getAngle(Point pointOne, Point pointTwo){
double angle = Math.atan2(pointTwo.getY()- pointOne.getY(),pointTwo.getX()-pointOne.getX());
while(angle < 0){
angle += (2.0*Math.PI);
}
return angle;
}
}
I have working at this for hours and can't seem to figure it out, someone please help.

So, I ended up replacing double angle = getAngle(startPoint,endPoint)- Math.PI/2.0; with something more like double angle = -Math.atan2(endPoint.y - startPoint.y, endPoint.x - startPoint.x);
I wrote this little test program, which allows you to move to points around a circle and which generates the resulting triangle...
import java.awt.BorderLayout;
import java.awt.Color;
import java.awt.Dimension;
import java.awt.EventQueue;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.GridLayout;
import java.awt.Point;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.JSlider;
import javax.swing.UIManager;
import javax.swing.UnsupportedLookAndFeelException;
import javax.swing.event.ChangeEvent;
import javax.swing.event.ChangeListener;
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();
}
TestPane tp = new TestPane();
JPanel control = new JPanel(new BorderLayout());
control.add(tp);
final JSlider startAngel = new JSlider(0, 359);
final JSlider endAngel = new JSlider(0, 359);
JPanel sliders = new JPanel(new GridLayout(1, 2));
sliders.add(startAngel);
sliders.add(endAngel);
startAngel.addChangeListener(new ChangeListener() {
#Override
public void stateChanged(ChangeEvent e) {
tp.setStartAngle(startAngel.getValue());
}
});
endAngel.addChangeListener(new ChangeListener() {
#Override
public void stateChanged(ChangeEvent e) {
tp.setEndAngle(endAngel.getValue());
}
});
startAngel.setValue(0);
endAngel.setValue(180);
JFrame frame = new JFrame("Testing");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.add(control);
frame.add(sliders, BorderLayout.SOUTH);
frame.pack();
frame.setLocationRelativeTo(null);
frame.setVisible(true);
}
});
}
public class TestPane extends JPanel {
private Point startPoint, endPoint;
private float startAngle = 0;
private float endAngle = 180;
public TestPane() {
}
#Override
public void invalidate() {
super.invalidate();
recalculate();
}
protected void recalculate() {
int dim = Math.min(getWidth(), getHeight());
dim -= 50;
float radius = dim / 2f;
startPoint = getPointOnCircle(startAngle, radius);
endPoint = getPointOnCircle(endAngle, radius);
repaint();
}
#Override
public Dimension getPreferredSize() {
return new Dimension(200, 200);
}
protected Point getPointOnCircle(float degress, float radius) {
int x = Math.round(getWidth() / 2);
int y = Math.round(getHeight() / 2);
double rads = Math.toRadians(degress - 90); // 0 becomes the top
// Calculate the outter point of the line
int xPosy = Math.round((float) (x + Math.cos(rads) * radius));
int yPosy = Math.round((float) (y + Math.sin(rads) * radius));
return new Point(xPosy, yPosy);
}
#Override
protected void paintComponent(Graphics g) {
super.paintComponent(g);
Graphics2D g2d = (Graphics2D) g.create();
int[] x = new int[3];
int[] y = new int[3];
double distance = startPoint.distance(endPoint);
double halfDistance = distance / 2;
double angle = -Math.atan2(endPoint.y - startPoint.y, endPoint.x - startPoint.x);
System.out.println(angle);
x[0] = (int) endPoint.getX();
y[0] = (int) endPoint.getY();
x[1] = (int) ((Math.sin(angle) * halfDistance) + startPoint.getX());
y[1] = (int) ((Math.cos(angle) * halfDistance) + startPoint.getY());
x[2] = (int) (startPoint.getX() - (Math.sin(angle) * halfDistance));
y[2] = (int) (startPoint.getY() - (Math.cos(angle) * halfDistance));
g2d.setColor(Color.RED);
g2d.fillPolygon(x, y, 3);
g2d.setColor(Color.BLUE);
g2d.fillOval(startPoint.x - 5, startPoint.y - 5, 10, 10);
g2d.setColor(Color.GREEN);
g2d.fillOval(endPoint.x - 5, endPoint.y - 5, 10, 10);
g2d.dispose();
}
public void setStartAngle(float value) {
startAngle = value;
recalculate();
}
public void setEndAngle(float value) {
endAngle = value;
recalculate();
}
}
}
If that still gives you some weird results, apart from sharing some test data, I might consider using something like Math.atan2(Math.abs(endPoint.y - startPoint.y), Math.abs(endPoint.x - startPoint.x)) or simular

You don't need to calculate angles at all.
double startX = 40;
double startY = 120;
double endX = 110;
double endY = 15;
double deltaX = ( startY - endY ) / 2;
double deltaY = ( endX - startX ) / 2;
double[] polygonX = new double[3];
double[] polygonY = new double[3];
polygonX[0] = endX;
polygonY[0] = endY;
polygonX[1] = startX - deltaX;
polygonY[1] = startY - deltaY;
polygonX[2] = startX + deltaX;
polygonY[2] = startY + deltaY;
The drawing is VERY bad :D, but the point is that:
cos(ang) = 'distance' / ( startY - endY )
and
cod(ang) = ('distance'/2) / deltaX
so
deltaX = ( startY - endY ) / 2
The same aplies to deltaY = ( endX - startX ) / 2
So the other 2 point of the triangle, will be the startPoint minus and plus those deltas.

trying to draw a clock with ellipses in Java

I want there to be 12 ellipses so they represent 5 minute intervals around the clock. However every time I change the linApproxLen for the path iterator, it always either draws too many ellipses or 9 ellipses. How can I make these ellipses represent the 5 minute mark?
private Ellipse2D ellipse = new Ellipse2D.Double();
public void setClockContour(int w, int h)
{
size = (w > h) ? h/6f : w/6f;
ellipse.setFrame(w/2-size*2-4.5f,h/2-size*2-4.5f,size*4,size*4);
double linApproxLen = 0.75 * size * 0.258819; // sin(15 degree)
PathIterator pi = ellipse.getPathIterator(null, linApproxLen);
Point2D[] points = new Point2D[100];
int num_pts = 0;
while ( !pi.isDone() )
{
float[] pt = new float[6];
switch ( pi.currentSegment(pt) ) {
case FlatteningPathIterator.SEG_MOVETO:
case FlatteningPathIterator.SEG_LINETO:
points[num_pts] = new Point2D.Float(pt[0], pt[1]);
num_pts++;
}
pi.next();
}
pts = new Point2D[num_pts];
System.arraycopy(points, 0, pts, 0, num_pts);
}

I think that approach will not work regardless of the linApproxLen parameter. This parameter only specifies the "flatness" of the line. While this will certainly influence the number of line segments that are returned, the actual number will at least depend on the radius of the ellipse that you are painting. So even when you manage to return exactly 12 points in one case, changing the radius (that is, the size given as w and h) will affect the number of returned points.
Computing the positions of 12 points in a circular formation is particularly easy. You can compute the position on the circle with the sine and cosine of the respective angle. The resulting points may then be scaled or moved in order to obtain the desired shape.
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.GridLayout;
import java.awt.RenderingHints;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Point2D;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
public class ClockCirclesTest
{
public static void main(String[] args)
{
SwingUtilities.invokeLater(new Runnable()
{
#Override
public void run()
{
createAndShowGUI();
}
});
}
private static void createAndShowGUI()
{
JFrame frame = new JFrame();
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.getContentPane().setLayout(new GridLayout(1, 0));
frame.getContentPane().add(new ClockCirclesPanel());
frame.setSize(400,400);
frame.setLocationRelativeTo(null);
frame.setVisible(true);
}
}
class ClockCirclesPanel extends JPanel
{
#Override
protected void paintComponent(Graphics gr)
{
super.paintComponent(gr);
Graphics2D g = (Graphics2D)gr;
g.setRenderingHint(
RenderingHints.KEY_ANTIALIASING,
RenderingHints.VALUE_ANTIALIAS_ON);
int w = getWidth() / 2;
int h = getHeight() / 2;
Point2D points[] = computePoints(w, h, 12);
int cx = getWidth() / 2;
int cy = getHeight() / 2;
g.translate(cx, cy);
for (Point2D p : points)
{
g.draw(new Ellipse2D.Double(
p.getX() - 5, p.getY() - 5,
10, 10));
}
}
private Point2D[] computePoints(double w, double h, int n)
{
Point2D points[] = new Point2D[n];
double angleDeltaRad = Math.PI * 2 / n;
for (int i=0; i<n; i++)
{
double angleRad = i * angleDeltaRad;
double ca = Math.cos(angleRad);
double sa = Math.sin(angleRad);
double x = sa * w/2;
double y = ca * h/2;
points[i] = new Point2D.Double(x,y);
}
return points;
}
}

Shapes and Segments in Java

I have a Shape. I'm basically trying to split an area into two areas using a segment as the bisection.
public Shape divide(Shape a, Point2D p1, Point2D p2) {
Shape str = new BasicStroke().createStrokedShape(new Line2D.Double(p1,p2));
Shape line = new Shape(str);
Shape temp = a;
line.intersect(temp);
temp.exclusiveOr(line);
// temp is the shape with the line intersecting it
AffineTransform t = new AffineTransform();
double angle = Math.atan2(p2.getY() - p1.getY(), p2.getX() - p1.getX());
t.rotate(angle, p1.getX(), p1.getY());
temp = temp.createTransformedArea(t);
return Shape ;
}
I want to bisect the shape into two using the segment, but not sure how to go about it, I was looking at the intersection methods:
http://docs.oracle.com/javase/7/docs/api/java/awt/geom/Area.html but still not sure how to get two Areas from one. I'm hoping to return something like:
return firstHalf secondHalf;

I'd do it something like this. Note the code has a bug for when the point that start out to the right and lower ends up to the left of the upper left point. Left as an exercise for the user.
import java.awt.*;
import java.awt.event.MouseAdapter;
import java.awt.event.MouseEvent;
import java.awt.event.MouseListener;
import java.awt.geom.*;
import java.awt.image.BufferedImage;
import javax.swing.*;
class SplitArea {
int s = 100;
JPanel gui = new JPanel(new BorderLayout());
BufferedImage[] images = new BufferedImage[4];
Point p1 = new Point(s / 4, s / 4);
Point p2 = new Point(s * 3 / 4, s * 3 / 4);
Ellipse2D ellipse = new Ellipse2D.Float(
s / 5, s / 5, s * 3 / 5, s * 3 / 5);
Rectangle2D bg = new Rectangle2D.Float(0, 0, s, s);
SplitArea() {
JToolBar tb = new JToolBar();
gui.add(tb, BorderLayout.PAGE_START);
final JToggleButton tob = new JToggleButton("Primary Point");
tb.add(tob);
JPanel view = new JPanel(new GridLayout(1, 0, 4, 4));
gui.add(view, BorderLayout.CENTER);
for (int ii = 0; ii < images.length; ii++) {
BufferedImage bi = new BufferedImage(
s, s, BufferedImage.TYPE_INT_RGB);
images[ii] = bi;
JLabel l = new JLabel(new ImageIcon(bi));
if (ii == 0) {
l.addMouseListener(new MouseAdapter() {
#Override
public void mouseClicked(MouseEvent e) {
if (tob.isSelected()) {
p1 = e.getPoint();
} else {
p2 = e.getPoint();
}
drawImages();
}
});
}
view.add(l);
}
drawImages();
}
public final void drawImages() {
Graphics2D g;
// image 0
g = images[0].createGraphics();
g.setColor(Color.BLACK);
g.fill(bg);
g.setColor(Color.CYAN);
g.fill(ellipse);
g.setColor(Color.WHITE);
g.draw(ellipse);
g.setColor(Color.red);
drawPoint(g, p1);
drawPoint(g, p2);
g.dispose();
int xDiff = p1.x - p2.x;
int yDiff = p1.y - p2.y;
Point2D xAxis;
Point2D xSAxis;
if (xDiff == 0) {
xAxis = new Point2D.Double(p1.x, 0);
xSAxis = new Point2D.Double(p1.x, s);
} else if (yDiff == 0) {
xAxis = new Point2D.Double(0, p1.y);
xSAxis = new Point2D.Double(s, p1.y);
} else {
System.out.println("Not vertical or horizontal!");
// will throw a NaN if line is vertical
double m = (double) yDiff / (double) xDiff;
System.out.println("m: " + m);
double b = (double) p1.y - (m * (double) p1.x);
System.out.println("b: " + b);
// crosses x axis at..
xAxis = new Point2D.Double(0d, b);
double pointS = (s - b) / m;
xSAxis = new Point2D.Double(pointS, s);
}
// image 1
g = images[1].createGraphics();
g.setColor(Color.BLACK);
g.fill(bg);
g.setColor(Color.CYAN);
g.fill(ellipse);
g.setColor(Color.WHITE);
g.draw(ellipse);
g.setColor(Color.YELLOW);
System.out.println(xAxis);
System.out.println(xSAxis);
g.drawLine(
(int) xAxis.getX(), (int) xAxis.getY(),
(int) xSAxis.getX(), (int) xSAxis.getY());
g.setColor(Color.red);
drawPoint(g, p1);
drawPoint(g, p2);
g.dispose();
// image 2
g = images[1].createGraphics();
g.setColor(Color.BLACK);
g.fill(bg);
g.setColor(Color.CYAN);
g.fill(ellipse);
g.setColor(Color.WHITE);
g.draw(ellipse);
g.setColor(Color.YELLOW);
System.out.println(xAxis);
System.out.println(xSAxis);
g.drawLine(
(int) xAxis.getX(), (int) xAxis.getY(),
(int) xSAxis.getX(), (int) xSAxis.getY());
g.setColor(Color.red);
drawPoint(g, p1);
drawPoint(g, p2);
g.dispose();
// split the regions
Rectangle2D.Double all = new Rectangle2D.Double(0, 0, s, s);
Area a1 = new Area(all);
Area a2 = new Area(all);
GeneralPath aPart = new GeneralPath();
aPart.moveTo(0, 0);
aPart.lineTo(0, s);
aPart.lineTo(xSAxis.getX(), xSAxis.getY());
aPart.lineTo(xAxis.getX(), xAxis.getY());
aPart.closePath();
a1.subtract(new Area(aPart));
a2.subtract(a1);
Area ellipsePartA = new Area(ellipse);
ellipsePartA.subtract(a1);
Area ellipsePartB = new Area(ellipse);
ellipsePartB.subtract(a2);
// image 3
g = images[2].createGraphics();
g.setColor(Color.BLACK);
g.fill(bg);
g.setColor(Color.CYAN);
g.fill(ellipsePartA);
g.setColor(Color.WHITE);
g.draw(ellipsePartA);
g.setColor(Color.red);
drawPoint(g, p1);
drawPoint(g, p2);
g.dispose();
// image 4
g = images[3].createGraphics();
g.setColor(Color.BLACK);
g.fill(bg);
g.setColor(Color.CYAN);
g.fill(ellipsePartB);
g.setColor(Color.WHITE);
g.draw(ellipsePartB);
g.setColor(Color.red);
drawPoint(g, p1);
drawPoint(g, p2);
g.dispose();
gui.repaint();
}
public final void drawPoint(Graphics g, Point2D p) {
g.setColor(new Color(255, 0, 0, 128));
int x = (int) p.getX();
int y = (int) p.getY();
g.drawLine(x - 1, y, x - 5, y);
g.drawLine(x + 1, y, x + 5, y);
g.drawLine(x, y - 1, x, y - 5);
g.drawLine(x, y + 1, x, y + 5);
}
public Area[] split(Area a, Point2D p1, Point2D p2) {
Shape str = new BasicStroke().createStrokedShape(new Line2D.Double(p1, p2));
Area line = new Area(str);
Area temp = a;
line.intersect(temp);
temp.exclusiveOr(line);
// temp is the shape with the line intersecting it
Area[] areas = {new Area(temp)};
return areas;
}
public JComponent getGui() {
return gui;
}
public static void main(String[] args) {
Runnable r = new Runnable() {
#Override
public void run() {
SplitArea sa = new SplitArea();
JOptionPane.showMessageDialog(null, sa.getGui());
}
};
// Swing GUIs should be created and updated on the EDT
// http://docs.oracle.com/javase/tutorial/uiswing/concurrency
SwingUtilities.invokeLater(r);
}
}

Here is another https://stackoverflow.com/help/mcve (I started this "yesterday" at ~3:00 am, obviously Andrew Thompson is in a different time zone ;-))
The basic idea here is as follows:
The two given points define a line. That is, an infinite line, and not only a line segment. The corner points of the bounding box of the object are projected on this line and its perpendicular. This gives (an upper bound of) the extent of the object along these lines. These upper bounds can be used to define the "minimum half-spaces" above and below the line that are required to cover the respective half of the object. These half-spaces can then be intersected with the object to obtain the desired results.
The split method in this example receives a Graphics2D parameter. This is only used for "debugging" - that is, to show the intermediate results (extents, half-spaces) that are computed, and a preview of the final results. This Graphics g parameter (and the corresponding debugging output) can simply be removed (but it might also help to show the idea of the approach).
import java.awt.Color;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.Shape;
import java.awt.event.MouseEvent;
import java.awt.event.MouseMotionListener;
import java.awt.geom.AffineTransform;
import java.awt.geom.Area;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Line2D;
import java.awt.geom.Path2D;
import java.awt.geom.Point2D;
import java.awt.geom.Rectangle2D;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
public class ShapeSplit
{
public static void main(String[] args)
{
SwingUtilities.invokeLater(new Runnable()
{
#Override
public void run()
{
createAndShowGUI();
}
});
}
private static void createAndShowGUI()
{
JFrame f = new JFrame();
f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
f.getContentPane().add(new ShapeSplitPanel());
f.setSize(1100,600);
f.setLocationRelativeTo(null);
f.setVisible(true);
}
}
class ShapeSplitPanel extends JPanel implements MouseMotionListener
{
private Shape inputShape = new Ellipse2D.Double(300,200,200,300);
private Point2D point0 = new Point2D.Double(200,300);
private Point2D point1 = new Point2D.Double(600,400);
ShapeSplitPanel()
{
addMouseMotionListener(this);
}
#Override
protected void paintComponent(Graphics gr)
{
super.paintComponent(gr);
Graphics2D g = (Graphics2D)gr;
g.setColor(Color.BLUE);
g.fill(inputShape);
g.setColor(Color.BLACK);
g.draw(new Line2D.Double(point0, point1));
g.fill(new Ellipse2D.Double(
point0.getX() - 3, point0.getY()-3, 6, 6));
g.fill(new Ellipse2D.Double(
point1.getX() - 3, point1.getY()-3, 6, 6));
split(new Area(inputShape), point0, point1, g);
}
private static Area[] split(Area a, Point2D p0, Point2D p1, Graphics2D g)
{
// Compute the direction of the line (L)
// and its perpendicular (P)
double dx = p1.getX() - p0.getX();
double dy = p1.getY() - p0.getY();
double length = Math.hypot(dx, dy);
double dirLx = dx / length;
double dirLy = dy / length;
double dirPx = -dirLy;
double dirPy = dirLx;
// Compute the minimum and maximum of all dot
// products that describe the distance of the
// projection of the corner points of the
// bounding box on on the line (L) and its
// perpendicular (P). These are upper limits
// for the extents of the object along these
// directions
double minDotL = Double.MAX_VALUE;
double maxDotL = -Double.MAX_VALUE;
double minDotP = Double.MAX_VALUE;
double maxDotP = -Double.MAX_VALUE;
Rectangle2D bounds = a.getBounds2D();
for (int i=0; i<4; i++)
{
Point2D corner = getCorner(bounds, i);
double pdx = corner.getX() - p0.getX();
double pdy = corner.getY() - p0.getY();
double dotL = dirLx * pdx + dirLy * pdy;
minDotL = Math.min(minDotL, dotL);
maxDotL = Math.max(maxDotL, dotL);
double dotP = dirPx * pdx + dirPy * pdy;
minDotP = Math.min(minDotP, dotP);
maxDotP = Math.max(maxDotP, dotP);
}
// Compute the start- and end points of
// the line segments describing the
// extent of the bounds along the line
// and the perpendicular
Point2D extentLmin = new Point2D.Double(
p0.getX() + minDotL * dirLx,
p0.getY() + minDotL * dirLy);
Point2D extentLmax = new Point2D.Double(
p0.getX() + maxDotL * dirLx,
p0.getY() + maxDotL * dirLy);
Point2D extentPmin = new Point2D.Double(
p0.getX() + minDotP * dirPx,
p0.getY() + minDotP * dirPy);
Point2D extentPmax = new Point2D.Double(
p0.getX() + maxDotP * dirPx,
p0.getY() + maxDotP * dirPy);
// Compute the two rectangles that cover
// each half of the object based on
// the given line
Path2D half0 = new Path2D.Double();
half0.moveTo(extentLmin.getX(), extentLmin.getY());
half0.lineTo(
extentLmin.getX() + minDotP * dirPx,
extentLmin.getY() + minDotP * dirPy);
half0.lineTo(
extentLmax.getX() + minDotP * dirPx,
extentLmax.getY() + minDotP * dirPy);
half0.lineTo(extentLmax.getX(), extentLmax.getY());
half0.closePath();
Path2D half1 = new Path2D.Double();
half1.moveTo(extentLmin.getX(), extentLmin.getY());
half1.lineTo(
extentLmin.getX() + maxDotP * dirPx,
extentLmin.getY() + maxDotP * dirPy);
half1.lineTo(
extentLmax.getX() + maxDotP * dirPx,
extentLmax.getY() + maxDotP * dirPy);
half1.lineTo(extentLmax.getX(), extentLmax.getY());
half1.closePath();
// Compute the resulting areas by intersecting
// the original area with both halves
Area a0 = new Area(a);
a0.intersect(new Area(half0));
Area a1 = new Area(a);
a1.intersect(new Area(half1));
// Debugging output
if (g != null)
{
g.setColor(Color.GRAY);
g.draw(bounds);
g.setColor(Color.RED);
g.draw(new Line2D.Double(extentLmin, extentLmax));
g.setColor(Color.GREEN);
g.draw(new Line2D.Double(extentPmin, extentPmax));
g.setColor(Color.YELLOW.darker());
g.draw(half0);
g.setColor(Color.MAGENTA);
g.draw(half1);
g.setColor(Color.BLUE);
g.fill(AffineTransform.getTranslateInstance(400, -20).
createTransformedShape(a0));
g.setColor(Color.BLUE);
g.fill(AffineTransform.getTranslateInstance(400, +20).
createTransformedShape(a1));
}
return new Area[] { a0, a1 };
}
private static Point2D getCorner(Rectangle2D r, int corner)
{
switch (corner)
{
case 0: return new Point2D.Double(r.getMinX(), r.getMinY());
case 1: return new Point2D.Double(r.getMinX(), r.getMaxY());
case 2: return new Point2D.Double(r.getMaxX(), r.getMaxY());
case 3: return new Point2D.Double(r.getMaxX(), r.getMinY());
}
return null;
}
#Override
public void mouseDragged(MouseEvent e)
{
point1.setLocation(e.getPoint());
repaint();
}
#Override
public void mouseMoved(MouseEvent e)
{
}
}
EDIT An aside: Technically, it could be easier (or even more elegant) to transform the original shape and the line so that the line matches the x-axis, then defining the half-spaces to be clipped against (which in this case could be simple Rectangle2Ds), and transforming the clipped results back into the original orientation. But I wanted to compute it "in-place", without having to create many transformed shapes.
EDIT2: Another snippet for the comment, to be inserted directly before the // Debugging output
AffineTransform t = new AffineTransform();
double angle = Math.atan2(p1.getY() - p0.getY(), p1.getX() - p0.getX());
t.rotate(-angle, p0.getX(), p0.getY());
a0 = a0.createTransformedArea(t);
a1 = a1.createTransformedArea(t);
EDIT3 The second approach, only the relevant method this time
private static Area[] split(Area a, Point2D p0, Point2D p1, Graphics2D g)
{
// Compute the angle of the line to the x-axis
double dx = p1.getX() - p0.getX();
double dy = p1.getY() - p0.getY();
double angleRadToX = Math.atan2(dy, dx);
// Align the area so that the line matches the x-axis
AffineTransform at = new AffineTransform();
at.rotate(-angleRadToX);
at.translate(-p0.getX(), -p0.getY());
Area aa = a.createTransformedArea(at);
// Compute the upper and lower halves that the area
// has to be intersected with
Rectangle2D bounds = aa.getBounds2D();
double half0minY = Math.min(0, bounds.getMinY());
double half0maxY = Math.min(0, bounds.getMaxY());
Rectangle2D half0 = new Rectangle2D.Double(
bounds.getX(), half0minY,
bounds.getWidth(), half0maxY-half0minY);
double half1minY = Math.max(0, bounds.getMinY());
double half1maxY = Math.max(0, bounds.getMaxY());
Rectangle2D half1 = new Rectangle2D.Double(
bounds.getX(), half1minY,
bounds.getWidth(), half1maxY-half1minY);
// Compute the resulting areas by intersecting
// the original area with both halves, and
// transform them back to their initial position
Area a0 = new Area(aa);
a0.intersect(new Area(half0));
Area a1 = new Area(aa);
a1.intersect(new Area(half1));
try
{
at.invert();
}
catch (NoninvertibleTransformException e)
{
// Always invertible
}
a0 = a0.createTransformedArea(at);
a1 = a1.createTransformedArea(at);
// Debugging output
if (g != null)
{
g.setColor(Color.GRAY);
g.draw(bounds);
g.setColor(Color.RED);
g.draw(aa);
g.setColor(Color.YELLOW.darker());
g.draw(half0);
g.setColor(Color.MAGENTA);
g.draw(half1);
g.setColor(Color.BLUE.darker());
g.fill(AffineTransform.getTranslateInstance(400, -20).
createTransformedShape(a0));
g.setColor(Color.BLUE.brighter());
g.fill(AffineTransform.getTranslateInstance(400, +20).
createTransformedShape(a1));
}
return new Area[] { a0, a1 };
}

Interesting question.
There are no methods that help you with this directly, but by calculating the bounding rectangle and intersecting with two opposing rectangles from your dividing line, you should be able to create such a method.
The general idea is to
Find the bounding rectangle of your original area: either getBounds() or getBounds2D().
Calculate two rectangles from your line that overlaps your area on both sides of the line. When doing this you will have to take several special cases into account (like is the line long enough, does it intersect the area at all, does the rectangles completely overlap each side of the original area, etc). The size of the rectangles should be decided by the bounding rectangle of your original area.
Get the two areas by intersecting each of the two rectangles with your original area, i.e. by using the intersect() method