Transform Shear
import java.awt.BasicStroke;
import java.awt.Color;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.RenderingHints;
import java.awt.Shape;
import java.awt.Stroke;
import java.awt.geom.AffineTransform;
import java.awt.geom.GeneralPath;
import java.awt.geom.Rectangle2D;
import javax.swing.JComponent;
import javax.swing.JFrame;
public class TransformShear extends JComponent {
Shape axes, shape;
int length = 54, arrowLength = 4, tickSize = 4;
public TransformShear() {
axes = createAxes();
shape = createShape();
}
protected Shape createAxes() {
GeneralPath path = new GeneralPath();
// Axes.
path.moveTo(-length, 0);
path.lineTo(length, 0);
path.moveTo(0, -length);
path.lineTo(0, length);
// Arrows.
path.moveTo(length - arrowLength, -arrowLength);
path.lineTo(length, 0);
path.lineTo(length - arrowLength, arrowLength);
path.moveTo(-arrowLength, length - arrowLength);
path.lineTo(0, length);
path.lineTo(arrowLength, length - arrowLength);
// Half-centimeter tick marks
float cm = 72 / 2.54f;
float lengthCentimeter = length / cm;
for (float i = 0.5f; i < lengthCentimeter; i += 1.0f) {
float tick = i * cm;
path.moveTo(tick, -tickSize / 2);
path.lineTo(tick, tickSize / 2);
path.moveTo(-tick, -tickSize / 2);
path.lineTo(-tick, tickSize / 2);
path.moveTo(-tickSize / 2, tick);
path.lineTo(tickSize / 2, tick);
path.moveTo(-tickSize / 2, -tick);
path.lineTo(tickSize / 2, -tick);
}
// Full-centimeter tick marks
for (float i = 1.0f; i < lengthCentimeter; i += 1.0f) {
float tick = i * cm;
path.moveTo(tick, -tickSize);
path.lineTo(tick, tickSize);
path.moveTo(-tick, -tickSize);
path.lineTo(-tick, tickSize);
path.moveTo(-tickSize, tick);
path.lineTo(tickSize, tick);
path.moveTo(-tickSize, -tick);
path.lineTo(tickSize, -tick);
}
return path;
}
protected Shape createShape() {
float cm = 72 / 2.54f;
return new Rectangle2D.Float(cm, cm, 2 * cm, cm);
}
public void paint(Graphics g) {
Graphics2D g2 = (Graphics2D) g;
// Use antialiasing.
g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
RenderingHints.VALUE_ANTIALIAS_ON);
// Move the origin to 75, 75.
AffineTransform at = AffineTransform.getTranslateInstance(75, 75);
g2.transform(at);
// Draw the shapes in their original locations.
g2.setPaint(Color.black);
g2.draw(axes);
g2.draw(shape);
// Transform the Graphics2D.
AffineTransform sat = AffineTransform.getTranslateInstance(150, 0);
sat.shear(-.5, 0);
g2.transform(sat);
// Draw the "new" shapes in dashed.
g2.transform(AffineTransform.getTranslateInstance(75, 75));
Stroke stroke = new BasicStroke(1, BasicStroke.CAP_BUTT,
BasicStroke.JOIN_BEVEL, 0, new float[] { 3, 1 }, 0);
g2.setStroke(stroke);
g2.draw(axes);
g2.draw(shape);
}
public static void main(String[] a) {
JFrame f = new JFrame();
f.getContentPane().add(new TransformShear());
f.setSize(450, 350);
f.show();
}
}
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