Fix RotationImageEffect by properly calculating required image bounda…

…ries without cropping

(side note: x2 is not the valid formula here)

litiengine/src/main/java/de/gurkenlabs/litiengine/graphics/RotationImageEffect.java

@@ -17,23 +17,45 @@ public class RotationImageEffect extends ImageEffect {
    *          The angle by which this effect rotates the base image.
    */
   public RotationImageEffect(final int ttl, final float angle) {
-    super(ttl, "RotationImageEffect");
+    super(ttl, "RotationImageEffect_" + angle);
     this.angle = angle;
   }
 
+  /**
+   * Applies a rotation transformation to the provided {@link BufferedImage}.
+   *
+   * This method rotates the given image by a specified angle, calculates the
+   * new dimensions needed to accommodate the rotated image without cropping,
+   * and creates a new compatible {@link BufferedImage} with those dimensions.
+   *
+   * @param image the {@link BufferedImage} to be rotated.
+   *              If {@code null}, the method returns {@code null}.
+   *
+   * @return a new {@link BufferedImage} representing the rotated image,
+   *         or {@code null} if the input image was {@code null}.
+   *
+   */
   @Override
   public BufferedImage apply(final BufferedImage image) {
     if (image == null) {
       return null;
     }
 
-    final int size = Math.max(image.getWidth(), image.getHeight()) * 2;
-    final BufferedImage img = Imaging.getCompatibleImage(size, size);
-    final Graphics2D g = img.createGraphics();
+    // Calculate the new dimensions after rotation
+    double radians = Math.toRadians(angle);
+    int width = image.getWidth();
+    int height = image.getHeight();
+
+    // Calculate the new width and height
+    int newWidth = (int) Math.abs(width * Math.cos(radians)) + (int) Math.abs(height * Math.sin(radians));
+    int newHeight = (int) Math.abs(height * Math.cos(radians)) + (int) Math.abs(width * Math.sin(radians));
+
+    final BufferedImage rotatedImage = Imaging.getCompatibleImage(newWidth, newHeight);
+    final Graphics2D g = rotatedImage.createGraphics();
     ImageRenderer.renderRotated(g, image, new Point2D.Double(0, 0), this.getAngle());
     g.dispose();
 
-    return img;
+    return rotatedImage;
   }
 
   public double getAngle() {