Java Code Examples for java.awt.geom.AffineTransform#setToScale()

private AffineTransform getAffineTransform( int transform ) {
        /// ABP
        AffineTransform at = new AffineTransform();
        switch ( transform )
        {
        case SCALE:
          at.setToScale( 1.5f, 1.5f ); break;
        case ROTATE:
          at.setToRotation( Math.PI / 6 ); break;
        case SHEAR:
          at.setToShear( 0.4f, 0 ); break;
        case NONE:
          break;
        default:
          //System.err.println( "Illegal G2 Transform Arg: " + transform);
          break;
        }

        return at;
}
 

private AffineTransform getAffineTransform( int transform ) {
        /// ABP
        AffineTransform at = new AffineTransform();
        switch ( transform )
        {
        case SCALE:
          at.setToScale( 1.5f, 1.5f ); break;
        case ROTATE:
          at.setToRotation( Math.PI / 6 ); break;
        case SHEAR:
          at.setToShear( 0.4f, 0 ); break;
        case NONE:
          break;
        default:
          //System.err.println( "Illegal G2 Transform Arg: " + transform);
          break;
        }

        return at;
}
 

private AffineTransform getAffineTransform( int transform ) {
        /// ABP
        AffineTransform at = new AffineTransform();
        switch ( transform )
        {
        case SCALE:
          at.setToScale( 1.5f, 1.5f ); break;
        case ROTATE:
          at.setToRotation( Math.PI / 6 ); break;
        case SHEAR:
          at.setToShear( 0.4f, 0 ); break;
        case NONE:
          break;
        default:
          //System.err.println( "Illegal G2 Transform Arg: " + transform);
          break;
        }

        return at;
}
 

private AffineTransform getAffineTransform( int transform ) {
        /// ABP
        AffineTransform at = new AffineTransform();
        switch ( transform )
        {
        case SCALE:
          at.setToScale( 1.5f, 1.5f ); break;
        case ROTATE:
          at.setToRotation( Math.PI / 6 ); break;
        case SHEAR:
          at.setToShear( 0.4f, 0 ); break;
        case NONE:
          break;
        default:
          //System.err.println( "Illegal G2 Transform Arg: " + transform);
          break;
        }

        return at;
}
 

private static GeneralPath findShapeToFitRectangle(Shape originalShape,
		int w, int h) {
	GeneralPath newShape = new GeneralPath();
	Rectangle2D rect = new Rectangle2D.Float();
	ShapeBounds.getBounds(originalShape, rect);
	if (originalShape.contains(rect.getX() + rect.getWidth() / 2,
			rect.getY() + rect.getHeight() / 2) == false)
		throw new IllegalArgumentException(
				"This custom shape is not allowed.  The center of this shape must be inside the shape.");
	double scale = Math.min((w) / rect.getWidth(), (h) / rect.getHeight());
	AffineTransform transform = new AffineTransform();
	while (true) {
		newShape.reset();
		newShape.append(originalShape, true);
		transform.setToScale(scale, scale);
		newShape.transform(transform);
		ShapeBounds.getBounds(newShape, rect);

		if (newShape.contains(rect.getX() + rect.getWidth() / 2 - w / 2,
				rect.getY() + rect.getHeight() / 2 - h / 2, w, h)) {
			return newShape;
		}

		scale += .01;
	}
}
 

@Nonnull
private Image makeScaledInstance(@Nonnull final Image image, final float scale) {
  if (Float.compare(scale, 1.0f) == 0) {
    return image;
  }

  final int scaledWidth = Math.round(image.getWidth(null) * scale);
  final int scaledHeight = Math.round(image.getHeight(null) * scale);

  final BufferedImage result = new BufferedImage(scaledWidth, scaledHeight, BufferedImage.TYPE_INT_ARGB);
  final Graphics2D graphics = (Graphics2D) result.getGraphics();
  try {
    final Map rhints = new HashMap();
    rhints.put(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);
    rhints.put(RenderingHints.KEY_INTERPOLATION, RenderingHints.VALUE_INTERPOLATION_BICUBIC);
    rhints.put(RenderingHints.KEY_TEXT_ANTIALIASING, RenderingHints.VALUE_TEXT_ANTIALIAS_ON);
    rhints.put(RenderingHints.KEY_COLOR_RENDERING, RenderingHints.VALUE_COLOR_RENDER_QUALITY);
    rhints.put(RenderingHints.KEY_ALPHA_INTERPOLATION, RenderingHints.VALUE_ALPHA_INTERPOLATION_QUALITY);
    rhints.put(RenderingHints.KEY_DITHERING, RenderingHints.VALUE_DITHER_ENABLE);
    final AffineTransform transform = new AffineTransform();
    transform.setToScale(scale, scale);
    graphics.setRenderingHints(rhints);
    graphics.drawImage(image, transform, null);
  } catch (Exception ex) {
    LOGGER.error("Can't scale image", ex);
    return image;
  } finally {
    graphics.dispose();
  }
  return result;
}
 

TexturePaintContext(ColorModel cm, AffineTransform xform,
                    int bWidth, int bHeight, int maxw) {
    this.colorModel = getInternedColorModel(cm);
    this.bWidth = bWidth;
    this.bHeight = bHeight;
    this.maxWidth = maxw;

    try {
        xform = xform.createInverse();
    } catch (NoninvertibleTransformException e) {
        xform.setToScale(0, 0);
    }
    this.incXAcross = mod(xform.getScaleX(), bWidth);
    this.incYAcross = mod(xform.getShearY(), bHeight);
    this.incXDown = mod(xform.getShearX(), bWidth);
    this.incYDown = mod(xform.getScaleY(), bHeight);
    this.xOrg = xform.getTranslateX();
    this.yOrg = xform.getTranslateY();
    this.colincx = (int) incXAcross;
    this.colincy = (int) incYAcross;
    this.colincxerr = fractAsInt(incXAcross);
    this.colincyerr = fractAsInt(incYAcross);
    this.rowincx = (int) incXDown;
    this.rowincy = (int) incYDown;
    this.rowincxerr = fractAsInt(incXDown);
    this.rowincyerr = fractAsInt(incYDown);

}
 

public SunGraphics2D(SurfaceData sd, Color fg, Color bg, Font f) {
    surfaceData = sd;
    foregroundColor = fg;
    backgroundColor = bg;

    transform = new AffineTransform();
    stroke = defaultStroke;
    composite = defaultComposite;
    paint = foregroundColor;

    imageComp = CompositeType.SrcOverNoEa;

    renderHint = SunHints.INTVAL_RENDER_DEFAULT;
    antialiasHint = SunHints.INTVAL_ANTIALIAS_OFF;
    textAntialiasHint = SunHints.INTVAL_TEXT_ANTIALIAS_DEFAULT;
    fractionalMetricsHint = SunHints.INTVAL_FRACTIONALMETRICS_OFF;
    lcdTextContrast = lcdTextContrastDefaultValue;
    interpolationHint = -1;
    strokeHint = SunHints.INTVAL_STROKE_DEFAULT;
    resolutionVariantHint = SunHints.INTVAL_RESOLUTION_VARIANT_DEFAULT;

    interpolationType = AffineTransformOp.TYPE_NEAREST_NEIGHBOR;

    validateColor();

    devScale = sd.getDefaultScale();
    if (devScale != 1) {
        transform.setToScale(devScale, devScale);
        invalidateTransform();
    }

    font = f;
    if (font == null) {
        font = defaultFont;
    }

    setDevClip(sd.getBounds());
    invalidatePipe();
}
 

TexturePaintContext(ColorModel cm, AffineTransform xform,
                    int bWidth, int bHeight, int maxw) {
    this.colorModel = getInternedColorModel(cm);
    this.bWidth = bWidth;
    this.bHeight = bHeight;
    this.maxWidth = maxw;

    try {
        xform = xform.createInverse();
    } catch (NoninvertibleTransformException e) {
        xform.setToScale(0, 0);
    }
    this.incXAcross = mod(xform.getScaleX(), bWidth);
    this.incYAcross = mod(xform.getShearY(), bHeight);
    this.incXDown = mod(xform.getShearX(), bWidth);
    this.incYDown = mod(xform.getScaleY(), bHeight);
    this.xOrg = xform.getTranslateX();
    this.yOrg = xform.getTranslateY();
    this.colincx = (int) incXAcross;
    this.colincy = (int) incYAcross;
    this.colincxerr = fractAsInt(incXAcross);
    this.colincyerr = fractAsInt(incYAcross);
    this.rowincx = (int) incXDown;
    this.rowincy = (int) incYDown;
    this.rowincxerr = fractAsInt(incXDown);
    this.rowincyerr = fractAsInt(incYDown);

}
 

TexturePaintContext(ColorModel cm, AffineTransform xform,
                    int bWidth, int bHeight, int maxw) {
    this.colorModel = getInternedColorModel(cm);
    this.bWidth = bWidth;
    this.bHeight = bHeight;
    this.maxWidth = maxw;

    try {
        xform = xform.createInverse();
    } catch (NoninvertibleTransformException e) {
        xform.setToScale(0, 0);
    }
    this.incXAcross = mod(xform.getScaleX(), bWidth);
    this.incYAcross = mod(xform.getShearY(), bHeight);
    this.incXDown = mod(xform.getShearX(), bWidth);
    this.incYDown = mod(xform.getScaleY(), bHeight);
    this.xOrg = xform.getTranslateX();
    this.yOrg = xform.getTranslateY();
    this.colincx = (int) incXAcross;
    this.colincy = (int) incYAcross;
    this.colincxerr = fractAsInt(incXAcross);
    this.colincyerr = fractAsInt(incYAcross);
    this.rowincx = (int) incXDown;
    this.rowincy = (int) incYDown;
    this.rowincxerr = fractAsInt(incXDown);
    this.rowincyerr = fractAsInt(incYDown);

}
 

private Graphics2D createGraphics() {
    Graphics2D g = image.createGraphics();
    if (mirrored) {
        AffineTransform transform = new AffineTransform();
        transform.setToScale(1, -1);
        transform.translate(0, -image.getHeight());
        g.setTransform(transform);
    }
    return g;
}
 

TexturePaintContext(ColorModel cm, AffineTransform xform,
                    int bWidth, int bHeight, int maxw) {
    this.colorModel = getInternedColorModel(cm);
    this.bWidth = bWidth;
    this.bHeight = bHeight;
    this.maxWidth = maxw;

    try {
        xform = xform.createInverse();
    } catch (NoninvertibleTransformException e) {
        xform.setToScale(0, 0);
    }
    this.incXAcross = mod(xform.getScaleX(), bWidth);
    this.incYAcross = mod(xform.getShearY(), bHeight);
    this.incXDown = mod(xform.getShearX(), bWidth);
    this.incYDown = mod(xform.getScaleY(), bHeight);
    this.xOrg = xform.getTranslateX();
    this.yOrg = xform.getTranslateY();
    this.colincx = (int) incXAcross;
    this.colincy = (int) incYAcross;
    this.colincxerr = fractAsInt(incXAcross);
    this.colincyerr = fractAsInt(incYAcross);
    this.rowincx = (int) incXDown;
    this.rowincy = (int) incYDown;
    this.rowincxerr = fractAsInt(incXDown);
    this.rowincyerr = fractAsInt(incYDown);

}
 

TexturePaintContext(ColorModel cm, AffineTransform xform,
                    int bWidth, int bHeight, int maxw) {
    this.colorModel = getInternedColorModel(cm);
    this.bWidth = bWidth;
    this.bHeight = bHeight;
    this.maxWidth = maxw;

    try {
        xform = xform.createInverse();
    } catch (NoninvertibleTransformException e) {
        xform.setToScale(0, 0);
    }
    this.incXAcross = mod(xform.getScaleX(), bWidth);
    this.incYAcross = mod(xform.getShearY(), bHeight);
    this.incXDown = mod(xform.getShearX(), bWidth);
    this.incYDown = mod(xform.getScaleY(), bHeight);
    this.xOrg = xform.getTranslateX();
    this.yOrg = xform.getTranslateY();
    this.colincx = (int) incXAcross;
    this.colincy = (int) incYAcross;
    this.colincxerr = fractAsInt(incXAcross);
    this.colincyerr = fractAsInt(incYAcross);
    this.rowincx = (int) incXDown;
    this.rowincy = (int) incYDown;
    this.rowincxerr = fractAsInt(incXDown);
    this.rowincyerr = fractAsInt(incYDown);

}
 

TexturePaintContext(ColorModel cm, AffineTransform xform,
                    int bWidth, int bHeight, int maxw) {
    this.colorModel = getInternedColorModel(cm);
    this.bWidth = bWidth;
    this.bHeight = bHeight;
    this.maxWidth = maxw;

    try {
        xform = xform.createInverse();
    } catch (NoninvertibleTransformException e) {
        xform.setToScale(0, 0);
    }
    this.incXAcross = mod(xform.getScaleX(), bWidth);
    this.incYAcross = mod(xform.getShearY(), bHeight);
    this.incXDown = mod(xform.getShearX(), bWidth);
    this.incYDown = mod(xform.getScaleY(), bHeight);
    this.xOrg = xform.getTranslateX();
    this.yOrg = xform.getTranslateY();
    this.colincx = (int) incXAcross;
    this.colincy = (int) incYAcross;
    this.colincxerr = fractAsInt(incXAcross);
    this.colincyerr = fractAsInt(incYAcross);
    this.rowincx = (int) incXDown;
    this.rowincy = (int) incYDown;
    this.rowincxerr = fractAsInt(incXDown);
    this.rowincyerr = fractAsInt(incYDown);

}
 

public SunGraphics2D(SurfaceData sd, Color fg, Color bg, Font f) {
    surfaceData = sd;
    foregroundColor = fg;
    backgroundColor = bg;

    transform = new AffineTransform();
    stroke = defaultStroke;
    composite = defaultComposite;
    paint = foregroundColor;

    imageComp = CompositeType.SrcOverNoEa;

    renderHint = SunHints.INTVAL_RENDER_DEFAULT;
    antialiasHint = SunHints.INTVAL_ANTIALIAS_OFF;
    textAntialiasHint = SunHints.INTVAL_TEXT_ANTIALIAS_DEFAULT;
    fractionalMetricsHint = SunHints.INTVAL_FRACTIONALMETRICS_OFF;
    lcdTextContrast = lcdTextContrastDefaultValue;
    interpolationHint = -1;
    strokeHint = SunHints.INTVAL_STROKE_DEFAULT;
    resolutionVariantHint = SunHints.INTVAL_RESOLUTION_VARIANT_DEFAULT;

    interpolationType = AffineTransformOp.TYPE_NEAREST_NEIGHBOR;

    validateColor();

    devScale = sd.getDefaultScale();
    if (devScale != 1) {
        transform.setToScale(devScale, devScale);
        invalidateTransform();
    }

    font = f;
    if (font == null) {
        font = defaultFont;
    }

    setDevClip(sd.getBounds());
    invalidatePipe();
}
 

/**
 * Paints the Place component taking into account the n q12[umber of tokens from
 * the storeCurrentMarking
 *
 * @param g The PositionGraphics object onto which the Place is drawn.
 */
@Override
public void paintComponent(Graphics g) {
    super.paintComponent(g);
    Graphics2D g2 = (Graphics2D) g.create();

    Rectangle bounds = shape.getBounds();
    g2.translate(bounds.getWidth()/2, bounds.getHeight()/2);

    if (hasCapacity()) {
        g2.setStroke(new BasicStroke(2.0f));
        setToolTipText("k = " + model.getCapacity());
    } else {
        g2.setStroke(new BasicStroke(1.0f));
        setToolTipText("k = \u221E");
    }
    g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);

    if (isSelected() && !ignoreSelection) {
        g2.setColor(GUIConstants.SELECTION_FILL_COLOUR);
    } else {
        g2.setColor(GUIConstants.ELEMENT_FILL_COLOUR);
    }
    g2.fill(shape);

    if (isSelected() && !ignoreSelection) {
        g2.setPaint(GUIConstants.SELECTION_LINE_COLOUR);
    } else {
        g2.setPaint(GUIConstants.ELEMENT_LINE_COLOUR);
    }
    g2.draw(shape);

    g2.setStroke(new BasicStroke(1.0f));

    // Paints border round a tagged place - paint component is called after any action on the place, so this bit
    // of code doesn't have to be called specially

    if (this.isTagged()) {
        AffineTransform oldTransform = g2.getTransform();

        AffineTransform scaleTransform = new AffineTransform();
        scaleTransform.setToScale(1.2, 1.2);

        g2.transform(scaleTransform);

        g2.translate(-2, -2);

        g2.fill(shape);

        g2.translate(2, 2);

        g2.setTransform(oldTransform);
    }

    g2 = (Graphics2D) g.create();
    paintTokens(g2);

    g2.dispose();
}
 

/**
 * This method calculates six m** values and a focusX value that
 * are used by the native fragment shader.  These techniques are
 * based on a whitepaper by Daniel Rice on radial gradient performance
 * (attached to the bug report for 6521533).  One can refer to that
 * document for the complete set of formulas and calculations, but
 * the basic goal is to compose a transform that will convert an
 * (x,y) position in device space into a "u" value that represents
 * the relative distance to the gradient focus point.  The resulting
 * value can be used to look up the appropriate color by linearly
 * interpolating between the two nearest colors in the gradient.
 */
private static void setRadialGradientPaint(RenderQueue rq,
                                           SunGraphics2D sg2d,
                                           RadialGradientPaint paint,
                                           boolean useMask)
{
    boolean linear =
        (paint.getColorSpace() == ColorSpaceType.LINEAR_RGB);
    int cycleMethod = paint.getCycleMethod().ordinal();
    float[] fractions = paint.getFractions();
    Color[] colors = paint.getColors();
    int numStops = colors.length;
    int[] pixels = convertToIntArgbPrePixels(colors, linear);
    Point2D center = paint.getCenterPoint();
    Point2D focus = paint.getFocusPoint();
    float radius = paint.getRadius();

    // save original (untransformed) center and focus points
    double cx = center.getX();
    double cy = center.getY();
    double fx = focus.getX();
    double fy = focus.getY();

    // transform from gradient coords to device coords
    AffineTransform at = paint.getTransform();
    at.preConcatenate(sg2d.transform);
    focus = at.transform(focus, focus);

    // transform unit circle to gradient coords; we start with the
    // unit circle (center=(0,0), focus on positive x-axis, radius=1)
    // and then transform into gradient space
    at.translate(cx, cy);
    at.rotate(fx - cx, fy - cy);
    at.scale(radius, radius);

    // invert to get mapping from device coords to unit circle
    try {
        at.invert();
    } catch (Exception e) {
        at.setToScale(0.0, 0.0);
    }
    focus = at.transform(focus, focus);

    // clamp the focus point so that it does not rest on, or outside
    // of, the circumference of the gradient circle
    fx = Math.min(focus.getX(), 0.99);

    // assert rq.lock.isHeldByCurrentThread();
    rq.ensureCapacity(20 + 28 + (numStops*4*2));
    RenderBuffer buf = rq.getBuffer();
    buf.putInt(SET_RADIAL_GRADIENT_PAINT);
    buf.putInt(useMask ? 1 : 0);
    buf.putInt(linear  ? 1 : 0);
    buf.putInt(numStops);
    buf.putInt(cycleMethod);
    buf.putFloat((float)at.getScaleX());
    buf.putFloat((float)at.getShearX());
    buf.putFloat((float)at.getTranslateX());
    buf.putFloat((float)at.getShearY());
    buf.putFloat((float)at.getScaleY());
    buf.putFloat((float)at.getTranslateY());
    buf.putFloat((float)fx);
    buf.put(fractions);
    buf.put(pixels);
}
 

static public AffineTransform parseSingleTransform(final String val) throws SVGException {
	final Matcher matchWord = Pattern.compile("[-.\\w]+").matcher("");

	final AffineTransform retXform = new AffineTransform();

	matchWord.reset(val);
	if (!matchWord.find()) {
		// Return identity transformation if no data present (eg, empty string)
		return retXform;
	}

	final String function = matchWord.group().toLowerCase();

	final LinkedList<String> termList = new LinkedList<>();
	while (matchWord.find()) {
		termList.add(matchWord.group());
	}

	final double[] terms = new double[termList.size()];
	final Iterator<String> it = termList.iterator();
	int count = 0;
	while (it.hasNext()) {
		terms[count++] = XMLParseUtil.parseDouble(it.next());
	}

	// Calculate transformation
	if (function.equals("matrix")) {
		retXform.setTransform(terms[0], terms[1], terms[2], terms[3], terms[4], terms[5]);
	} else if (function.equals("translate")) {
		retXform.setToTranslation(terms[0], terms[1]);
	} else if (function.equals("scale")) {
		if (terms.length > 1) {
			retXform.setToScale(terms[0], terms[1]);
		} else {
			retXform.setToScale(terms[0], terms[0]);
		}
	} else if (function.equals("rotate")) {
		if (terms.length > 2) {
			retXform.setToRotation(Math.toRadians(terms[0]), terms[1], terms[2]);
		} else {
			retXform.setToRotation(Math.toRadians(terms[0]));
		}
	} else if (function.equals("skewx")) {
		retXform.setToShear(Math.toRadians(terms[0]), 0.0);
	} else if (function.equals("skewy")) {
		retXform.setToShear(0.0, Math.toRadians(terms[0]));
	} else {
		throw new SVGException("Unknown transform type");
	}

	return retXform;
}
 

/**
 * This method calculates six m** values and a focusX value that
 * are used by the native fragment shader.  These techniques are
 * based on a whitepaper by Daniel Rice on radial gradient performance
 * (attached to the bug report for 6521533).  One can refer to that
 * document for the complete set of formulas and calculations, but
 * the basic goal is to compose a transform that will convert an
 * (x,y) position in device space into a "u" value that represents
 * the relative distance to the gradient focus point.  The resulting
 * value can be used to look up the appropriate color by linearly
 * interpolating between the two nearest colors in the gradient.
 */
private static void setRadialGradientPaint(RenderQueue rq,
                                           SunGraphics2D sg2d,
                                           RadialGradientPaint paint,
                                           boolean useMask)
{
    boolean linear =
        (paint.getColorSpace() == ColorSpaceType.LINEAR_RGB);
    int cycleMethod = paint.getCycleMethod().ordinal();
    float[] fractions = paint.getFractions();
    Color[] colors = paint.getColors();
    int numStops = colors.length;
    int[] pixels = convertToIntArgbPrePixels(colors, linear);
    Point2D center = paint.getCenterPoint();
    Point2D focus = paint.getFocusPoint();
    float radius = paint.getRadius();

    // save original (untransformed) center and focus points
    double cx = center.getX();
    double cy = center.getY();
    double fx = focus.getX();
    double fy = focus.getY();

    // transform from gradient coords to device coords
    AffineTransform at = paint.getTransform();
    at.preConcatenate(sg2d.transform);
    focus = at.transform(focus, focus);

    // transform unit circle to gradient coords; we start with the
    // unit circle (center=(0,0), focus on positive x-axis, radius=1)
    // and then transform into gradient space
    at.translate(cx, cy);
    at.rotate(fx - cx, fy - cy);
    at.scale(radius, radius);

    // invert to get mapping from device coords to unit circle
    try {
        at.invert();
    } catch (Exception e) {
        at.setToScale(0.0, 0.0);
    }
    focus = at.transform(focus, focus);

    // clamp the focus point so that it does not rest on, or outside
    // of, the circumference of the gradient circle
    fx = Math.min(focus.getX(), 0.99);

    // assert rq.lock.isHeldByCurrentThread();
    rq.ensureCapacity(20 + 28 + (numStops*4*2));
    RenderBuffer buf = rq.getBuffer();
    buf.putInt(SET_RADIAL_GRADIENT_PAINT);
    buf.putInt(useMask ? 1 : 0);
    buf.putInt(linear  ? 1 : 0);
    buf.putInt(numStops);
    buf.putInt(cycleMethod);
    buf.putFloat((float)at.getScaleX());
    buf.putFloat((float)at.getShearX());
    buf.putFloat((float)at.getTranslateX());
    buf.putFloat((float)at.getShearY());
    buf.putFloat((float)at.getScaleY());
    buf.putFloat((float)at.getTranslateY());
    buf.putFloat((float)fx);
    buf.put(fractions);
    buf.put(pixels);
}
 

/**
 * This method calculates six m** values and a focusX value that
 * are used by the native fragment shader.  These techniques are
 * based on a whitepaper by Daniel Rice on radial gradient performance
 * (attached to the bug report for 6521533).  One can refer to that
 * document for the complete set of formulas and calculations, but
 * the basic goal is to compose a transform that will convert an
 * (x,y) position in device space into a "u" value that represents
 * the relative distance to the gradient focus point.  The resulting
 * value can be used to look up the appropriate color by linearly
 * interpolating between the two nearest colors in the gradient.
 */
private static void setRadialGradientPaint(RenderQueue rq,
                                           SunGraphics2D sg2d,
                                           RadialGradientPaint paint,
                                           boolean useMask)
{
    boolean linear =
        (paint.getColorSpace() == ColorSpaceType.LINEAR_RGB);
    int cycleMethod = paint.getCycleMethod().ordinal();
    float[] fractions = paint.getFractions();
    Color[] colors = paint.getColors();
    int numStops = colors.length;
    int[] pixels = convertToIntArgbPrePixels(colors, linear);
    Point2D center = paint.getCenterPoint();
    Point2D focus = paint.getFocusPoint();
    float radius = paint.getRadius();

    // save original (untransformed) center and focus points
    double cx = center.getX();
    double cy = center.getY();
    double fx = focus.getX();
    double fy = focus.getY();

    // transform from gradient coords to device coords
    AffineTransform at = paint.getTransform();
    at.preConcatenate(sg2d.transform);
    focus = at.transform(focus, focus);

    // transform unit circle to gradient coords; we start with the
    // unit circle (center=(0,0), focus on positive x-axis, radius=1)
    // and then transform into gradient space
    at.translate(cx, cy);
    at.rotate(fx - cx, fy - cy);
    at.scale(radius, radius);

    // invert to get mapping from device coords to unit circle
    try {
        at.invert();
    } catch (Exception e) {
        at.setToScale(0.0, 0.0);
    }
    focus = at.transform(focus, focus);

    // clamp the focus point so that it does not rest on, or outside
    // of, the circumference of the gradient circle
    fx = Math.min(focus.getX(), 0.99);

    // assert rq.lock.isHeldByCurrentThread();
    rq.ensureCapacity(20 + 28 + (numStops*4*2));
    RenderBuffer buf = rq.getBuffer();
    buf.putInt(SET_RADIAL_GRADIENT_PAINT);
    buf.putInt(useMask ? 1 : 0);
    buf.putInt(linear  ? 1 : 0);
    buf.putInt(numStops);
    buf.putInt(cycleMethod);
    buf.putFloat((float)at.getScaleX());
    buf.putFloat((float)at.getShearX());
    buf.putFloat((float)at.getTranslateX());
    buf.putFloat((float)at.getShearY());
    buf.putFloat((float)at.getScaleY());
    buf.putFloat((float)at.getTranslateY());
    buf.putFloat((float)fx);
    buf.put(fractions);
    buf.put(pixels);
}