Rotating a Shape Vertically Around the X-Axis with Scaling
Problem:
You have a 2D graph with an x and y axis and want to rotate a shape around an axis while incorporating a scaling function.
Solution:
To achieve this, you can manipulate the shape's points using transformations such as rotation and scaling. Here's an example that first rotates the shape by a fixed angle and then scales it by a varying scale factor:
<code class="java">import java.awt.*; import java.awt.event.*; import java.awt.geom.AffineTransform; import javax.swing.*; public class ShapeRotationScaling extends JPanel implements ActionListener { private static final int ANGLE_INCREMENT = 1; // in degrees private static final double SCALE_INCREMENT = 0.1; private int[] shapeXPoints = {200, 200, 240, 240, 220, 220, 200}; private int[] shapeYPoints = {200, 260, 260, 240, 240, 200, 200}; private AffineTransform transform = new AffineTransform(); private double rotationAngle = 0; private double scaleFactor = 1; private Timer timer = new Timer(100, this); public ShapeRotationScaling() { this.setPreferredSize(new Dimension(700, 700)); this.setBackground(Color.white); timer.start(); } @Override public void actionPerformed(ActionEvent event) { // Rotate the shape around the x-axis transform.rotate(Math.toRadians(rotationAngle), this.getWidth() / 2, 0); // Scale the shape transform.scale(scaleFactor, scaleFactor); // Increment the rotation angle and scale factor rotationAngle += ANGLE_INCREMENT; scaleFactor += SCALE_INCREMENT; repaint(); } @Override public void paintComponent(Graphics g) { super.paintComponent(g); Graphics2D g2d = (Graphics2D) g; g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON); // Draw the x and y axes g2d.drawLine(this.getWidth() / 2, 0, this.getWidth() / 2, this.getHeight()); g2d.drawLine(0, this.getHeight() / 2, this.getWidth(), this.getHeight() / 2); // Apply the transformation to the shape and draw it Shape rotatedAndScaledShape = transform.createTransformedShape(new Polygon(shapeXPoints, shapeYPoints, shapeXPoints.length)); g2d.draw(rotatedAndScaledShape); } public static void main(String[] args) { JFrame frame = new JFrame("Shape Rotation and Scaling"); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); ShapeRotationScaling sr = new ShapeRotationScaling(); frame.add(sr); frame.pack(); frame.setVisible(true); } }</code>
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