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

private static AffineTransform extractRotation(Point2D.Double pt,
    AffineTransform tx, boolean andTranslation) {

    tx.deltaTransform(pt, pt);
    AffineTransform rtx = AffineTransform.getRotateInstance(pt.x, pt.y);

    try {
        AffineTransform rtxi = rtx.createInverse();
        double dx = tx.getTranslateX();
        double dy = tx.getTranslateY();
        tx.preConcatenate(rtxi);
        if (andTranslation) {
            if (dx != 0 || dy != 0) {
                tx.setTransform(tx.getScaleX(), tx.getShearY(),
                                tx.getShearX(), tx.getScaleY(), 0, 0);
                rtx.setTransform(rtx.getScaleX(), rtx.getShearY(),
                                 rtx.getShearX(), rtx.getScaleY(), dx, dy);
            }
        }
    }
    catch (NoninvertibleTransformException e) {
        return null;
    }
    return rtx;
}
 

private static AffineTransform extractRotation(Point2D.Double pt,
    AffineTransform tx, boolean andTranslation) {

    tx.deltaTransform(pt, pt);
    AffineTransform rtx = AffineTransform.getRotateInstance(pt.x, pt.y);

    try {
        AffineTransform rtxi = rtx.createInverse();
        double dx = tx.getTranslateX();
        double dy = tx.getTranslateY();
        tx.preConcatenate(rtxi);
        if (andTranslation) {
            if (dx != 0 || dy != 0) {
                tx.setTransform(tx.getScaleX(), tx.getShearY(),
                                tx.getShearX(), tx.getScaleY(), 0, 0);
                rtx.setTransform(rtx.getScaleX(), rtx.getShearY(),
                                 rtx.getShearX(), rtx.getScaleY(), dx, dy);
            }
        }
    }
    catch (NoninvertibleTransformException e) {
        return null;
    }
    return rtx;
}
 

final static public void applyLayerTransformToPatch( final Patch patch, final CoordinateTransform ct ) throws Exception
{
	final Rectangle pbox = patch.getCoordinateTransformBoundingBox();
	final AffineTransform pat = new AffineTransform();
	pat.translate( -pbox.x, -pbox.y );
	pat.preConcatenate( patch.getAffineTransform() );
	
	final AffineModel2D toWorld = new AffineModel2D();
	toWorld.set( pat );
	
	final CoordinateTransformList< CoordinateTransform > ctl = new CoordinateTransformList< CoordinateTransform >();
	ctl.add( toWorld );
	ctl.add( ct );
	ctl.add( toWorld.createInverse() );
	
	patch.appendCoordinateTransform( ctl );
}
 

private static BufferedImageRendering createRendering(ProductSceneView view, boolean fullScene,
                                                      boolean geoReferenced, BufferedImage bufferedImage) {
    final Viewport vp1 = view.getLayerCanvas().getViewport();
    final Viewport vp2 = new DefaultViewport(new Rectangle(bufferedImage.getWidth(), bufferedImage.getHeight()),
                                             vp1.isModelYAxisDown());
    if (fullScene) {
        vp2.zoom(view.getBaseImageLayer().getModelBounds());
    } else {
        setTransform(vp1, vp2);
    }

    final BufferedImageRendering imageRendering = new BufferedImageRendering(bufferedImage, vp2);
    if (geoReferenced) {
        // because image to model transform is stored with the exported image we have to invert
        // image to view transformation
        final AffineTransform m2iTransform = view.getBaseImageLayer().getModelToImageTransform(0);
        final AffineTransform v2mTransform = vp2.getViewToModelTransform();
        v2mTransform.preConcatenate(m2iTransform);
        final AffineTransform v2iTransform = new AffineTransform(v2mTransform);

        final Graphics2D graphics2D = imageRendering.getGraphics();
        v2iTransform.concatenate(graphics2D.getTransform());
        graphics2D.setTransform(v2iTransform);
    }
    return imageRendering;
}
 

private static AffineTransform extractRotation(Point2D.Double pt,
    AffineTransform tx, boolean andTranslation) {

    tx.deltaTransform(pt, pt);
    AffineTransform rtx = AffineTransform.getRotateInstance(pt.x, pt.y);

    try {
        AffineTransform rtxi = rtx.createInverse();
        double dx = tx.getTranslateX();
        double dy = tx.getTranslateY();
        tx.preConcatenate(rtxi);
        if (andTranslation) {
            if (dx != 0 || dy != 0) {
                tx.setTransform(tx.getScaleX(), tx.getShearY(),
                                tx.getShearX(), tx.getScaleY(), 0, 0);
                rtx.setTransform(rtx.getScaleX(), rtx.getShearY(),
                                 rtx.getShearX(), rtx.getScaleY(), dx, dy);
            }
        }
    }
    catch (NoninvertibleTransformException e) {
        return null;
    }
    return rtx;
}
 

/** Add an area that needs to be transformed by tmp first to bring it to world coordinates;
 *  will MODIFY the to_world AffineTransform object. */
public void add(final Area a, final AffineTransform to_world) {
	try {
		to_world.preConcatenate(source.getAffineTransform().createInverse());
		this.area.add(a.createTransformedArea(to_world));
	} catch (NoninvertibleTransformException nite) { IJError.print(nite); }
}
 

/** Will crop second dimension of the given array at the given length. */
final protected double[][] transformPoints(final double[][] p, final int length, final AffineTransform additional) {
	if (null == additional) return transformPoints(this.at, p, length);
	final AffineTransform aff = new AffineTransform(this.at);
	aff.preConcatenate(additional);
	return transformPoints(aff, p, length);
}
 

private void exportTo(SerializableImage image, Matrix transformation, Matrix strokeTransformation) {
    this.image = image;
    this.strokeTransformation = strokeTransformation.clone();
    this.strokeTransformation.scaleX /= SWF.unitDivisor;
    this.strokeTransformation.scaleY /= SWF.unitDivisor;

    graphics = (Graphics2D) image.getGraphics();
    AffineTransform at = transformation.toTransform();
    at.preConcatenate(AffineTransform.getScaleInstance(1 / SWF.unitDivisor, 1 / SWF.unitDivisor));
    graphics.setTransform(at);
    defaultStroke = graphics.getStroke();
    super.export();
}
 

/** Without headers, just the cell block for a single Treeline.
 * If pre is null, then synapses are not collected. */
static private final void exportMorphMLCell(final Writer w, final Treeline t,
		final Set<Tree<?>> trees, final List<HalfSynapse> pre, final List<HalfSynapse> post,
		final AffineTransform scale2d, final double zScale) throws IOException
{	
	final float[] fp = new float[4]; // x, y, z, r

	// Prepare transform
	final AffineTransform aff = new AffineTransform(t.getAffineTransform());
	aff.preConcatenate(scale2d);

	writeCellHeader(w, t);

	// Map of Node vs id of the node
	// These ids are used to express parent-child relationships between segments
	final HashMap<Node<Float>,Long> nodeIds = new HashMap<Node<Float>,Long>();

	// Map of coords for branch or end nodes
	// so that the start of a cable can write the proximal coords
	final HashMap<Node<Float>,float[]> nodeCoords = new HashMap<Node<Float>,float[]>();

	// Root gets ID of 0:
	long nextSegmentId = 0;
	long cableId = 0;
	final Node<Float> root = t.getRoot();

	toPoint(root, fp, aff, zScale);
	writeSomaSegment(w, fp); // a dummy segment that has no length, and with a cableId of 0.
	if (null != pre) collectConnectors(root, t, fp, 0, pre, post);

	// Prepare
	nodeIds.put(root, nextSegmentId);
	nodeCoords.put(root, fp.clone());
	nextSegmentId += 1;
	cableId += 1;

	// All cables that come out of the Soma (the root) require a special tag:
	final HashSet<Long> somaCables = new HashSet<Long>();

	// Iterate all cables (all slabs; here a slab is synonym with cable, even if in NeuroML it doesn't have to be)
	for (final Node<Float> node : t.getRoot().getBranchAndEndNodes()) {
		// Gather the list of nodes all the way up to the previous branch node or root,
		// that last one not included.
		final List<Node<Float>> slab = cable(node);
		final String sCableId = Long.toString(cableId);
		// The id of the parent already exists, given that the Collection
		// is iterated depth-first from the root.
		final Node<Float> parent = slab.get(slab.size()-1).getParent();
		long parentId = nodeIds.get(parent);
		// Use the parent coords for the proximal coords of the first segment of the cable
		float[] parentCoords = nodeCoords.get(parent);
		// Is it a cable coming out of the root node (the soma) ?
		if (0 == parentId) somaCables.add(cableId);
		// For every node starting from the closest to the root (the last),
		// write a segment of the cable
		for (final ListIterator<Node<Float>> it = slab.listIterator(slab.size()); it.hasPrevious(); ) {
			// Assign an id to the node of the slab
			final Node<Float> seg = it.previous();
			// Write the segment
			toPoint(seg, fp, aff, zScale);
			writeCableSegment(w, fp, nextSegmentId, parentId, parentCoords, sCableId);
			// Inspect and collect synapses originating at this node
			if (null != pre) collectConnectors(seg, t, fp, nextSegmentId, pre, post);
			// Prepare next segment in the cable
			parentId = nextSegmentId;
			nextSegmentId += 1;
			parentCoords = null; // is used only for the first node
		}
		// Record the branch node, to be used for filling in "distal" fields
		if (node.getChildrenCount() > 1) {
			nodeIds.put(node, parentId); // parentId is the last used nextId, which is the id of node
			final float[] fpCopy = new float[4];
			toPoint(node, fpCopy, aff, zScale);
			nodeCoords.put(node, fpCopy);
		}

		// Prepare next slab or cable
		cableId += 1;
	}

	w.write(" </segments>\n");

	// Define the nature of each cable
	// Each cable requires a unique name
	w.write(" <cables xmlns=\"http://morphml.org/morphml/schema\">\n");
	w.write("  <cable id=\"0\" name=\"Soma\">\n   <meta:group>soma_group</meta:group>\n  </cable>\n");
	for (long i=1; i<cableId; i++) {
		final String sid = Long.toString(i);
		w.write("  <cable id=\""); w.write(sid);
		w.write("\" name=\""); w.write(sid);
		if (somaCables.contains(i)) w.write("\" fract_along_parent=\"0.5");
		else w.write("\" fract_along_parent=\"1.0"); // child segments start at the end of the segment
		w.write("\">\n   <meta:group>arbor_group</meta:group>\n  </cable>\n");
	}

	w.write(" </cables>\n</cell>\n");
}
 

/**
 * Returns a copy of the transform associated with this
 * <code>Font</code>.  This transform is not necessarily the one
 * used to construct the font.  If the font has algorithmic
 * superscripting or width adjustment, this will be incorporated
 * into the returned <code>AffineTransform</code>.
 * <p>
 * Typically, fonts will not be transformed.  Clients generally
 * should call {@link #isTransformed} first, and only call this
 * method if <code>isTransformed</code> returns true.
 *
 * @return an {@link AffineTransform} object representing the
 *          transform attribute of this <code>Font</code> object.
 */
public AffineTransform getTransform() {
    /* The most common case is the identity transform.  Most callers
     * should call isTransformed() first, to decide if they need to
     * get the transform, but some may not.  Here we check to see
     * if we have a nonidentity transform, and only do the work to
     * fetch and/or compute it if so, otherwise we return a new
     * identity transform.
     *
     * Note that the transform is _not_ necessarily the same as
     * the transform passed in as an Attribute in a Map, as the
     * transform returned will also reflect the effects of WIDTH and
     * SUPERSCRIPT attributes.  Clients who want the actual transform
     * need to call getRequestedAttributes.
     */
    if (nonIdentityTx) {
        AttributeValues values = getAttributeValues();

        AffineTransform at = values.isNonDefault(ETRANSFORM)
            ? new AffineTransform(values.getTransform())
            : new AffineTransform();

        if (values.getSuperscript() != 0) {
            // can't get ascent and descent here, recursive call to this fn,
            // so use pointsize
            // let users combine super- and sub-scripting

            int superscript = values.getSuperscript();

            double trans = 0;
            int n = 0;
            boolean up = superscript > 0;
            int sign = up ? -1 : 1;
            int ss = up ? superscript : -superscript;

            while ((ss & 7) > n) {
                int newn = ss & 7;
                trans += sign * (ssinfo[newn] - ssinfo[n]);
                ss >>= 3;
                sign = -sign;
                n = newn;
            }
            trans *= pointSize;
            double scale = Math.pow(2./3., n);

            at.preConcatenate(AffineTransform.getTranslateInstance(0, trans));
            at.scale(scale, scale);

            // note on placement and italics
            // We preconcatenate the transform because we don't want to translate along
            // the italic angle, but purely perpendicular to the baseline.  While this
            // looks ok for superscripts, it can lead subscripts to stack on each other
            // and bring the following text too close.  The way we deal with potential
            // collisions that can occur in the case of italics is by adjusting the
            // horizontal spacing of the adjacent glyphvectors.  Examine the italic
            // angle of both vectors, if one is non-zero, compute the minimum ascent
            // and descent, and then the x position at each for each vector along its
            // italic angle starting from its (offset) baseline.  Compute the difference
            // between the x positions and use the maximum difference to adjust the
            // position of the right gv.
        }

        if (values.isNonDefault(EWIDTH)) {
            at.scale(values.getWidth(), 1f);
        }

        return at;
    }

    return new AffineTransform();
}
 

@Override
public void toImage(int frame, int time, int ratio, RenderContext renderContext, SerializableImage image, boolean isClip, Matrix transformation, Matrix strokeTransformation, Matrix absoluteTransformation, ColorTransform colorTransform) {
    BitmapExporter.export(swf, getShapes(), null, image, transformation, strokeTransformation, colorTransform);
    if (Configuration._debugMode.get()) { // show control points
        List<GeneralPath> paths = PathExporter.export(swf, getShapes());
        double[] coords = new double[6];
        AffineTransform at = transformation.toTransform();
        at.preConcatenate(AffineTransform.getScaleInstance(1 / SWF.unitDivisor, 1 / SWF.unitDivisor));

        // get the graphics from the inner image object, because it creates a new Graphics object
        Graphics2D graphics = (Graphics2D) image.getBufferedImage().getGraphics();
        graphics.setPaint(Color.black);
        for (GeneralPath path : paths) {
            PathIterator iterator = path.getPathIterator(at);
            while (!iterator.isDone()) {
                int type = iterator.currentSegment(coords);
                double x = coords[0];
                double y = coords[1];
                switch (type) {
                    case PathIterator.SEG_MOVETO:
                        graphics.drawRect((int) (x - markerSize / 2), (int) (y - markerSize / 2), markerSize, markerSize);
                        break;
                    case PathIterator.SEG_LINETO:
                        graphics.drawRect((int) (x - markerSize / 2), (int) (y - markerSize / 2), markerSize, markerSize);
                        break;
                    case PathIterator.SEG_QUADTO:
                        graphics.drawRect((int) (x - markerSize / 2), (int) (y - markerSize / 2), markerSize, markerSize);
                        x = coords[2];
                        y = coords[3];
                        graphics.drawRect((int) (x - markerSize / 2), (int) (y - markerSize / 2), markerSize, markerSize);
                        break;
                    case PathIterator.SEG_CUBICTO:
                        System.out.print("CUBICTO NOT SUPPORTED. ");
                        break;
                    case PathIterator.SEG_CLOSE:
                        System.out.print("CLOSE NOT SUPPORTED. ");
                        break;
                }
                iterator.next();
            }
        }
    }
}
 

/**
 * Returns a copy of the transform associated with this
 * <code>Font</code>.  This transform is not necessarily the one
 * used to construct the font.  If the font has algorithmic
 * superscripting or width adjustment, this will be incorporated
 * into the returned <code>AffineTransform</code>.
 * <p>
 * Typically, fonts will not be transformed.  Clients generally
 * should call {@link #isTransformed} first, and only call this
 * method if <code>isTransformed</code> returns true.
 *
 * @return an {@link AffineTransform} object representing the
 *          transform attribute of this <code>Font</code> object.
 */
public AffineTransform getTransform() {
    /* The most common case is the identity transform.  Most callers
     * should call isTransformed() first, to decide if they need to
     * get the transform, but some may not.  Here we check to see
     * if we have a nonidentity transform, and only do the work to
     * fetch and/or compute it if so, otherwise we return a new
     * identity transform.
     *
     * Note that the transform is _not_ necessarily the same as
     * the transform passed in as an Attribute in a Map, as the
     * transform returned will also reflect the effects of WIDTH and
     * SUPERSCRIPT attributes.  Clients who want the actual transform
     * need to call getRequestedAttributes.
     */
    if (nonIdentityTx) {
        AttributeValues values = getAttributeValues();

        AffineTransform at = values.isNonDefault(ETRANSFORM)
            ? new AffineTransform(values.getTransform())
            : new AffineTransform();

        if (values.getSuperscript() != 0) {
            // can't get ascent and descent here, recursive call to this fn,
            // so use pointsize
            // let users combine super- and sub-scripting

            int superscript = values.getSuperscript();

            double trans = 0;
            int n = 0;
            boolean up = superscript > 0;
            int sign = up ? -1 : 1;
            int ss = up ? superscript : -superscript;

            while ((ss & 7) > n) {
                int newn = ss & 7;
                trans += sign * (ssinfo[newn] - ssinfo[n]);
                ss >>= 3;
                sign = -sign;
                n = newn;
            }
            trans *= pointSize;
            double scale = Math.pow(2./3., n);

            at.preConcatenate(AffineTransform.getTranslateInstance(0, trans));
            at.scale(scale, scale);

            // note on placement and italics
            // We preconcatenate the transform because we don't want to translate along
            // the italic angle, but purely perpendicular to the baseline.  While this
            // looks ok for superscripts, it can lead subscripts to stack on each other
            // and bring the following text too close.  The way we deal with potential
            // collisions that can occur in the case of italics is by adjusting the
            // horizontal spacing of the adjacent glyphvectors.  Examine the italic
            // angle of both vectors, if one is non-zero, compute the minimum ascent
            // and descent, and then the x position at each for each vector along its
            // italic angle starting from its (offset) baseline.  Compute the difference
            // between the x positions and use the maximum difference to adjust the
            // position of the right gv.
        }

        if (values.isNonDefault(EWIDTH)) {
            at.scale(values.getWidth(), 1f);
        }

        return at;
    }

    return new AffineTransform();
}
 

/**
 * 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);
}
 

/**
 * Returns a copy of the transform associated with this
 * <code>Font</code>.  This transform is not necessarily the one
 * used to construct the font.  If the font has algorithmic
 * superscripting or width adjustment, this will be incorporated
 * into the returned <code>AffineTransform</code>.
 * <p>
 * Typically, fonts will not be transformed.  Clients generally
 * should call {@link #isTransformed} first, and only call this
 * method if <code>isTransformed</code> returns true.
 *
 * @return an {@link AffineTransform} object representing the
 *          transform attribute of this <code>Font</code> object.
 */
public AffineTransform getTransform() {
    /* The most common case is the identity transform.  Most callers
     * should call isTransformed() first, to decide if they need to
     * get the transform, but some may not.  Here we check to see
     * if we have a nonidentity transform, and only do the work to
     * fetch and/or compute it if so, otherwise we return a new
     * identity transform.
     *
     * Note that the transform is _not_ necessarily the same as
     * the transform passed in as an Attribute in a Map, as the
     * transform returned will also reflect the effects of WIDTH and
     * SUPERSCRIPT attributes.  Clients who want the actual transform
     * need to call getRequestedAttributes.
     */
    if (nonIdentityTx) {
        AttributeValues values = getAttributeValues();

        AffineTransform at = values.isNonDefault(ETRANSFORM)
            ? new AffineTransform(values.getTransform())
            : new AffineTransform();

        if (values.getSuperscript() != 0) {
            // can't get ascent and descent here, recursive call to this fn,
            // so use pointsize
            // let users combine super- and sub-scripting

            int superscript = values.getSuperscript();

            double trans = 0;
            int n = 0;
            boolean up = superscript > 0;
            int sign = up ? -1 : 1;
            int ss = up ? superscript : -superscript;

            while ((ss & 7) > n) {
                int newn = ss & 7;
                trans += sign * (ssinfo[newn] - ssinfo[n]);
                ss >>= 3;
                sign = -sign;
                n = newn;
            }
            trans *= pointSize;
            double scale = Math.pow(2./3., n);

            at.preConcatenate(AffineTransform.getTranslateInstance(0, trans));
            at.scale(scale, scale);

            // note on placement and italics
            // We preconcatenate the transform because we don't want to translate along
            // the italic angle, but purely perpendicular to the baseline.  While this
            // looks ok for superscripts, it can lead subscripts to stack on each other
            // and bring the following text too close.  The way we deal with potential
            // collisions that can occur in the case of italics is by adjusting the
            // horizontal spacing of the adjacent glyphvectors.  Examine the italic
            // angle of both vectors, if one is non-zero, compute the minimum ascent
            // and descent, and then the x position at each for each vector along its
            // italic angle starting from its (offset) baseline.  Compute the difference
            // between the x positions and use the maximum difference to adjust the
            // position of the right gv.
        }

        if (values.isNonDefault(EWIDTH)) {
            at.scale(values.getWidth(), 1f);
        }

        return at;
    }

    return new AffineTransform();
}
 

/**
 * 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 uses techniques that are nearly identical to those
 * employed in setGradientPaint() above.  The primary difference
 * is that at the native level we use a fragment shader to manually
 * apply the plane equation constants to the current fragment position
 * to calculate the gradient position in the range [0,1] (the native
 * code for GradientPaint does the same, except that it uses OpenGL's
 * automatic texture coordinate generation facilities).
 *
 * One other minor difference worth mentioning is that
 * setGradientPaint() calculates the plane equation constants
 * such that the gradient end points are positioned at 0.25 and 0.75
 * (for reasons discussed in the comments for that method).  In
 * contrast, for LinearGradientPaint we setup the equation constants
 * such that the gradient end points fall at 0.0 and 1.0.  The
 * reason for this difference is that in the fragment shader we
 * have more control over how the gradient values are interpreted
 * (depending on the paint's CycleMethod).
 */
private static void setLinearGradientPaint(RenderQueue rq,
                                           SunGraphics2D sg2d,
                                           LinearGradientPaint paint,
                                           boolean useMask)
{
    boolean linear =
        (paint.getColorSpace() == ColorSpaceType.LINEAR_RGB);
    Color[] colors = paint.getColors();
    int numStops = colors.length;
    Point2D pt1 = paint.getStartPoint();
    Point2D pt2 = paint.getEndPoint();
    AffineTransform at = paint.getTransform();
    at.preConcatenate(sg2d.transform);

    if (!linear && numStops == 2 &&
        paint.getCycleMethod() != CycleMethod.REPEAT)
    {
        // delegate to the optimized two-color gradient codepath
        boolean isCyclic =
            (paint.getCycleMethod() != CycleMethod.NO_CYCLE);
        setGradientPaint(rq, at,
                         colors[0], colors[1],
                         pt1, pt2,
                         isCyclic, useMask);
        return;
    }

    int cycleMethod = paint.getCycleMethod().ordinal();
    float[] fractions = paint.getFractions();
    int[] pixels = convertToIntArgbPrePixels(colors, linear);

    // calculate plane equation constants
    double x = pt1.getX();
    double y = pt1.getY();
    at.translate(x, y);
    // now gradient point 1 is at the origin
    x = pt2.getX() - x;
    y = pt2.getY() - y;
    double len = Math.sqrt(x * x + y * y);
    at.rotate(x, y);
    // now gradient point 2 is on the positive x-axis
    at.scale(len, 1);
    // now gradient point 1 is at (0.0, 0), point 2 is at (1.0, 0)

    float p0, p1, p3;
    try {
        at.invert();
        p0 = (float)at.getScaleX();
        p1 = (float)at.getShearX();
        p3 = (float)at.getTranslateX();
    } catch (java.awt.geom.NoninvertibleTransformException e) {
        p0 = p1 = p3 = 0.0f;
    }

    // assert rq.lock.isHeldByCurrentThread();
    rq.ensureCapacity(20 + 12 + (numStops*4*2));
    RenderBuffer buf = rq.getBuffer();
    buf.putInt(SET_LINEAR_GRADIENT_PAINT);
    buf.putInt(useMask ? 1 : 0);
    buf.putInt(linear  ? 1 : 0);
    buf.putInt(cycleMethod);
    buf.putInt(numStops);
    buf.putFloat(p0);
    buf.putFloat(p1);
    buf.putFloat(p3);
    buf.put(fractions);
    buf.put(pixels);
}
 

/**
 * This method uses techniques that are nearly identical to those
 * employed in setGradientPaint() above.  The primary difference
 * is that at the native level we use a fragment shader to manually
 * apply the plane equation constants to the current fragment position
 * to calculate the gradient position in the range [0,1] (the native
 * code for GradientPaint does the same, except that it uses OpenGL's
 * automatic texture coordinate generation facilities).
 *
 * One other minor difference worth mentioning is that
 * setGradientPaint() calculates the plane equation constants
 * such that the gradient end points are positioned at 0.25 and 0.75
 * (for reasons discussed in the comments for that method).  In
 * contrast, for LinearGradientPaint we setup the equation constants
 * such that the gradient end points fall at 0.0 and 1.0.  The
 * reason for this difference is that in the fragment shader we
 * have more control over how the gradient values are interpreted
 * (depending on the paint's CycleMethod).
 */
private static void setLinearGradientPaint(RenderQueue rq,
                                           SunGraphics2D sg2d,
                                           LinearGradientPaint paint,
                                           boolean useMask)
{
    boolean linear =
        (paint.getColorSpace() == ColorSpaceType.LINEAR_RGB);
    Color[] colors = paint.getColors();
    int numStops = colors.length;
    Point2D pt1 = paint.getStartPoint();
    Point2D pt2 = paint.getEndPoint();
    AffineTransform at = paint.getTransform();
    at.preConcatenate(sg2d.transform);

    if (!linear && numStops == 2 &&
        paint.getCycleMethod() != CycleMethod.REPEAT)
    {
        // delegate to the optimized two-color gradient codepath
        boolean isCyclic =
            (paint.getCycleMethod() != CycleMethod.NO_CYCLE);
        setGradientPaint(rq, at,
                         colors[0], colors[1],
                         pt1, pt2,
                         isCyclic, useMask);
        return;
    }

    int cycleMethod = paint.getCycleMethod().ordinal();
    float[] fractions = paint.getFractions();
    int[] pixels = convertToIntArgbPrePixels(colors, linear);

    // calculate plane equation constants
    double x = pt1.getX();
    double y = pt1.getY();
    at.translate(x, y);
    // now gradient point 1 is at the origin
    x = pt2.getX() - x;
    y = pt2.getY() - y;
    double len = Math.sqrt(x * x + y * y);
    at.rotate(x, y);
    // now gradient point 2 is on the positive x-axis
    at.scale(len, 1);
    // now gradient point 1 is at (0.0, 0), point 2 is at (1.0, 0)

    float p0, p1, p3;
    try {
        at.invert();
        p0 = (float)at.getScaleX();
        p1 = (float)at.getShearX();
        p3 = (float)at.getTranslateX();
    } catch (java.awt.geom.NoninvertibleTransformException e) {
        p0 = p1 = p3 = 0.0f;
    }

    // assert rq.lock.isHeldByCurrentThread();
    rq.ensureCapacity(20 + 12 + (numStops*4*2));
    RenderBuffer buf = rq.getBuffer();
    buf.putInt(SET_LINEAR_GRADIENT_PAINT);
    buf.putInt(useMask ? 1 : 0);
    buf.putInt(linear  ? 1 : 0);
    buf.putInt(cycleMethod);
    buf.putInt(numStops);
    buf.putFloat(p0);
    buf.putFloat(p1);
    buf.putFloat(p3);
    buf.put(fractions);
    buf.put(pixels);
}
 

/**
 * This method uses techniques that are nearly identical to those
 * employed in setGradientPaint() above.  The primary difference
 * is that at the native level we use a fragment shader to manually
 * apply the plane equation constants to the current fragment position
 * to calculate the gradient position in the range [0,1] (the native
 * code for GradientPaint does the same, except that it uses OpenGL's
 * automatic texture coordinate generation facilities).
 *
 * One other minor difference worth mentioning is that
 * setGradientPaint() calculates the plane equation constants
 * such that the gradient end points are positioned at 0.25 and 0.75
 * (for reasons discussed in the comments for that method).  In
 * contrast, for LinearGradientPaint we setup the equation constants
 * such that the gradient end points fall at 0.0 and 1.0.  The
 * reason for this difference is that in the fragment shader we
 * have more control over how the gradient values are interpreted
 * (depending on the paint's CycleMethod).
 */
private static void setLinearGradientPaint(RenderQueue rq,
                                           SunGraphics2D sg2d,
                                           LinearGradientPaint paint,
                                           boolean useMask)
{
    boolean linear =
        (paint.getColorSpace() == ColorSpaceType.LINEAR_RGB);
    Color[] colors = paint.getColors();
    int numStops = colors.length;
    Point2D pt1 = paint.getStartPoint();
    Point2D pt2 = paint.getEndPoint();
    AffineTransform at = paint.getTransform();
    at.preConcatenate(sg2d.transform);

    if (!linear && numStops == 2 &&
        paint.getCycleMethod() != CycleMethod.REPEAT)
    {
        // delegate to the optimized two-color gradient codepath
        boolean isCyclic =
            (paint.getCycleMethod() != CycleMethod.NO_CYCLE);
        setGradientPaint(rq, at,
                         colors[0], colors[1],
                         pt1, pt2,
                         isCyclic, useMask);
        return;
    }

    int cycleMethod = paint.getCycleMethod().ordinal();
    float[] fractions = paint.getFractions();
    int[] pixels = convertToIntArgbPrePixels(colors, linear);

    // calculate plane equation constants
    double x = pt1.getX();
    double y = pt1.getY();
    at.translate(x, y);
    // now gradient point 1 is at the origin
    x = pt2.getX() - x;
    y = pt2.getY() - y;
    double len = Math.sqrt(x * x + y * y);
    at.rotate(x, y);
    // now gradient point 2 is on the positive x-axis
    at.scale(len, 1);
    // now gradient point 1 is at (0.0, 0), point 2 is at (1.0, 0)

    float p0, p1, p3;
    try {
        at.invert();
        p0 = (float)at.getScaleX();
        p1 = (float)at.getShearX();
        p3 = (float)at.getTranslateX();
    } catch (java.awt.geom.NoninvertibleTransformException e) {
        p0 = p1 = p3 = 0.0f;
    }

    // assert rq.lock.isHeldByCurrentThread();
    rq.ensureCapacity(20 + 12 + (numStops*4*2));
    RenderBuffer buf = rq.getBuffer();
    buf.putInt(SET_LINEAR_GRADIENT_PAINT);
    buf.putInt(useMask ? 1 : 0);
    buf.putInt(linear  ? 1 : 0);
    buf.putInt(cycleMethod);
    buf.putInt(numStops);
    buf.putFloat(p0);
    buf.putFloat(p1);
    buf.putFloat(p3);
    buf.put(fractions);
    buf.put(pixels);
}
 

/**
 * This method uses techniques that are nearly identical to those
 * employed in setGradientPaint() above.  The primary difference
 * is that at the native level we use a fragment shader to manually
 * apply the plane equation constants to the current fragment position
 * to calculate the gradient position in the range [0,1] (the native
 * code for GradientPaint does the same, except that it uses OpenGL's
 * automatic texture coordinate generation facilities).
 *
 * One other minor difference worth mentioning is that
 * setGradientPaint() calculates the plane equation constants
 * such that the gradient end points are positioned at 0.25 and 0.75
 * (for reasons discussed in the comments for that method).  In
 * contrast, for LinearGradientPaint we setup the equation constants
 * such that the gradient end points fall at 0.0 and 1.0.  The
 * reason for this difference is that in the fragment shader we
 * have more control over how the gradient values are interpreted
 * (depending on the paint's CycleMethod).
 */
private static void setLinearGradientPaint(RenderQueue rq,
                                           SunGraphics2D sg2d,
                                           LinearGradientPaint paint,
                                           boolean useMask)
{
    boolean linear =
        (paint.getColorSpace() == ColorSpaceType.LINEAR_RGB);
    Color[] colors = paint.getColors();
    int numStops = colors.length;
    Point2D pt1 = paint.getStartPoint();
    Point2D pt2 = paint.getEndPoint();
    AffineTransform at = paint.getTransform();
    at.preConcatenate(sg2d.transform);

    if (!linear && numStops == 2 &&
        paint.getCycleMethod() != CycleMethod.REPEAT)
    {
        // delegate to the optimized two-color gradient codepath
        boolean isCyclic =
            (paint.getCycleMethod() != CycleMethod.NO_CYCLE);
        setGradientPaint(rq, at,
                         colors[0], colors[1],
                         pt1, pt2,
                         isCyclic, useMask);
        return;
    }

    int cycleMethod = paint.getCycleMethod().ordinal();
    float[] fractions = paint.getFractions();
    int[] pixels = convertToIntArgbPrePixels(colors, linear);

    // calculate plane equation constants
    double x = pt1.getX();
    double y = pt1.getY();
    at.translate(x, y);
    // now gradient point 1 is at the origin
    x = pt2.getX() - x;
    y = pt2.getY() - y;
    double len = Math.sqrt(x * x + y * y);
    at.rotate(x, y);
    // now gradient point 2 is on the positive x-axis
    at.scale(len, 1);
    // now gradient point 1 is at (0.0, 0), point 2 is at (1.0, 0)

    float p0, p1, p3;
    try {
        at.invert();
        p0 = (float)at.getScaleX();
        p1 = (float)at.getShearX();
        p3 = (float)at.getTranslateX();
    } catch (java.awt.geom.NoninvertibleTransformException e) {
        p0 = p1 = p3 = 0.0f;
    }

    // assert rq.lock.isHeldByCurrentThread();
    rq.ensureCapacity(20 + 12 + (numStops*4*2));
    RenderBuffer buf = rq.getBuffer();
    buf.putInt(SET_LINEAR_GRADIENT_PAINT);
    buf.putInt(useMask ? 1 : 0);
    buf.putInt(linear  ? 1 : 0);
    buf.putInt(cycleMethod);
    buf.putInt(numStops);
    buf.putFloat(p0);
    buf.putFloat(p1);
    buf.putFloat(p3);
    buf.put(fractions);
    buf.put(pixels);
}