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* <td>0x30 * <td> * <td>A hint that the original {@code Path2D} object stored * the coordinates in a Java array of floats.</td> * </tr> * <tr> * <td>{@code SERIAL_STORAGE_DBL_ARRAY} * <td>0x31 * <td> * <td>A hint that the original {@code Path2D} object stored * the coordinates in a Java array of doubles.</td> * </tr> * <tr> * <td>{@code SERIAL_SEG_FLT_MOVETO} * <td>0x40 * <td>2 floats * <td>A {@link #moveTo moveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_FLT_LINETO} * <td>0x41 * <td>2 floats * <td>A {@link #lineTo lineTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_FLT_QUADTO} * <td>0x42 * <td>4 floats * <td>A {@link #quadTo quadTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_FLT_CUBICTO} * <td>0x43 * <td>6 floats * <td>A {@link #curveTo curveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_DBL_MOVETO} * <td>0x50 * <td>2 doubles * <td>A {@link #moveTo moveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_DBL_LINETO} * <td>0x51 * <td>2 doubles * <td>A {@link #lineTo lineTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_DBL_QUADTO} * <td>0x52 * <td>4 doubles * <td>A {@link #curveTo curveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_DBL_CUBICTO} * <td>0x53 * <td>6 doubles * <td>A {@link #curveTo curveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_CLOSE} * <td>0x60 * <td> * <td>A {@link #closePath closePath} path segment. * </tr> * <tr> * <td>{@code SERIAL_PATH_END} * <td>0x61 * <td> * <td>There are no more path segments following. * </table> * * @since 1.6 */ private void writeObject(java.io.ObjectOutputStream s) throws java.io.IOException { super.writeObject(s, false); } /** * Reads the default serializable fields from the * {@code ObjectInputStream} followed by an explicit * serialization of the path segments stored in this * path. * <p> * There are no default serializable fields as of 1.6. * <p> * The serial data for this object is described in the * writeObject method. * * @since 1.6 */ private void readObject(java.io.ObjectInputStream s) throws java.lang.ClassNotFoundException, java.io.IOException { super.readObject(s, false); } static class CopyIterator extends Path2D.Iterator { float floatCoords[]; CopyIterator(Path2D.Float p2df) { super(p2df); this.floatCoords = p2df.floatCoords; } public int currentSegment(float[] coords) { int type = path.pointTypes[typeIdx]; int numCoords = curvecoords[type]; if (numCoords > 0) { System.arraycopy(floatCoords, pointIdx, coords, 0, numCoords); } return type; } public int currentSegment(double[] coords) { int type = path.pointTypes[typeIdx]; int numCoords = curvecoords[type]; if (numCoords > 0) { for (int i = 0; i < numCoords; i++) { coords[i] = floatCoords[pointIdx + i]; } } return type; } } static class TxIterator extends Path2D.Iterator { float floatCoords[]; AffineTransform affine; TxIterator(Path2D.Float p2df, AffineTransform at) { super(p2df); this.floatCoords = p2df.floatCoords; this.affine = at; } public int currentSegment(float[] coords) { int type = path.pointTypes[typeIdx]; int numCoords = curvecoords[type]; if (numCoords > 0) { affine.transform(floatCoords, pointIdx, coords, 0, numCoords / 2); } return type; } public int currentSegment(double[] coords) { int type = path.pointTypes[typeIdx]; int numCoords = curvecoords[type]; if (numCoords > 0) { affine.transform(floatCoords, pointIdx, coords, 0, numCoords / 2); } return type; } } } /** * The {@code Double} class defines a geometric path with * coordinates stored in double precision floating point. * * @since 1.6 */ public static class Double extends Path2D implements Serializable { transient double doubleCoords[]; /** * Constructs a new empty double precision {@code Path2D} object * with a default winding rule of {@link #WIND_NON_ZERO}. * * @since 1.6 */ public Double() { this(WIND_NON_ZERO, INIT_SIZE); } /** * Constructs a new empty double precision {@code Path2D} object * with the specified winding rule to control operations that * require the interior of the path to be defined. * * @param rule the winding rule * @see #WIND_EVEN_ODD * @see #WIND_NON_ZERO * @since 1.6 */ public Double(int rule) { this(rule, INIT_SIZE); } /** * Constructs a new empty double precision {@code Path2D} object * with the specified winding rule and the specified initial * capacity to store path segments. * This number is an initial guess as to how many path segments * are in the path, but the storage is expanded as needed to store * whatever path segments are added to this path. * * @param rule the winding rule * @param initialCapacity the estimate for the number of path segments * in the path * @see #WIND_EVEN_ODD * @see #WIND_NON_ZERO * @since 1.6 */ public Double(int rule, int initialCapacity) { super(rule, initialCapacity); doubleCoords = new double[initialCapacity * 2]; } /** * Constructs a new double precision {@code Path2D} object * from an arbitrary {@link Shape} object. * All of the initial geometry and the winding rule for this path are * taken from the specified {@code Shape} object. * * @param s the specified {@code Shape} object * @since 1.6 */ public Double(Shape s) { this(s, null); } /** * Constructs a new double precision {@code Path2D} object * from an arbitrary {@link Shape} object, transformed by an * {@link AffineTransform} object. * All of the initial geometry and the winding rule for this path are * taken from the specified {@code Shape} object and transformed * by the specified {@code AffineTransform} object. * * @param s the specified {@code Shape} object * @param at the specified {@code AffineTransform} object * @since 1.6 */ public Double(Shape s, AffineTransform at) { if (s instanceof Path2D) { Path2D p2d = (Path2D) s; setWindingRule(p2d.windingRule); this.numTypes = p2d.numTypes; this.pointTypes = Arrays.copyOf(p2d.pointTypes, p2d.pointTypes.length); this.numCoords = p2d.numCoords; this.doubleCoords = p2d.cloneCoordsDouble(at); } else { PathIterator pi = s.getPathIterator(at); setWindingRule(pi.getWindingRule()); this.pointTypes = new byte[INIT_SIZE]; this.doubleCoords = new double[INIT_SIZE * 2]; append(pi, false); } } float[] cloneCoordsFloat(AffineTransform at) { float ret[] = new float[doubleCoords.length]; if (at == null) { for (int i = 0; i < numCoords; i++) { ret[i] = (float) doubleCoords[i]; } } else { at.transform(doubleCoords, 0, ret, 0, numCoords / 2); } return ret; } double[] cloneCoordsDouble(AffineTransform at) { double ret[]; if (at == null) { ret = Arrays.copyOf(this.doubleCoords, this.doubleCoords.length); } else { ret = new double[doubleCoords.length]; at.transform(doubleCoords, 0, ret, 0, numCoords / 2); } return ret; } void append(float x, float y) { doubleCoords[numCoords++] = x; doubleCoords[numCoords++] = y; } void append(double x, double y) { doubleCoords[numCoords++] = x; doubleCoords[numCoords++] = y; } Point2D getPoint(int coordindex) { return new Point2D.Double(doubleCoords[coordindex], doubleCoords[coordindex+1]); } void needRoom(boolean needMove, int newCoords) { if (needMove && numTypes == 0) { throw new IllegalPathStateException("missing initial moveto "+ "in path definition"); } int size = pointTypes.length; if (numTypes >= size) { int grow = size; if (grow > EXPAND_MAX) { grow = EXPAND_MAX; } pointTypes = Arrays.copyOf(pointTypes, size+grow); } size = doubleCoords.length; if (numCoords + newCoords > size) { int grow = size; if (grow > EXPAND_MAX * 2) { grow = EXPAND_MAX * 2; } if (grow < newCoords) { grow = newCoords; } doubleCoords = Arrays.copyOf(doubleCoords, size+grow); } } /** * {@inheritDoc} * @since 1.6 */ public final synchronized void moveTo(double x, double y) { if (numTypes > 0 && pointTypes[numTypes - 1] == SEG_MOVETO) { doubleCoords[numCoords-2] = x; doubleCoords[numCoords-1] = y; } else { needRoom(false, 2); pointTypes[numTypes++] = SEG_MOVETO; doubleCoords[numCoords++] = x; doubleCoords[numCoords++] = y; } } /** * {@inheritDoc} * @since 1.6 */ public final synchronized void lineTo(double x, double y) { needRoom(true, 2); pointTypes[numTypes++] = SEG_LINETO; doubleCoords[numCoords++] = x; doubleCoords[numCoords++] = y; } /** * {@inheritDoc} * @since 1.6 */ public final synchronized void quadTo(double x1, double y1, double x2, double y2) { needRoom(true, 4); pointTypes[numTypes++] = SEG_QUADTO; doubleCoords[numCoords++] = x1; doubleCoords[numCoords++] = y1; doubleCoords[numCoords++] = x2; doubleCoords[numCoords++] = y2; } /** * {@inheritDoc} * @since 1.6 */ public final synchronized void curveTo(double x1, double y1, double x2, double y2, double x3, double y3) { needRoom(true, 6); pointTypes[numTypes++] = SEG_CUBICTO; doubleCoords[numCoords++] = x1; doubleCoords[numCoords++] = y1; doubleCoords[numCoords++] = x2; doubleCoords[numCoords++] = y2; doubleCoords[numCoords++] = x3; doubleCoords[numCoords++] = y3; } int pointCrossings(double px, double py) { double movx, movy, curx, cury, endx, endy; double coords[] = doubleCoords; curx = movx = coords[0]; cury = movy = coords[1]; int crossings = 0; int ci = 2; for (int i = 1; i < numTypes; i++) { switch (pointTypes[i]) { case PathIterator.SEG_MOVETO: if (cury != movy) { crossings += Curve.pointCrossingsForLine(px, py, curx, cury, movx, movy); } movx = curx = coords[ci++]; movy = cury = coords[ci++]; break; case PathIterator.SEG_LINETO: crossings += Curve.pointCrossingsForLine(px, py, curx, cury, endx = coords[ci++], endy = coords[ci++]); curx = endx; cury = endy; break; case PathIterator.SEG_QUADTO: crossings += Curve.pointCrossingsForQuad(px, py, curx, cury, coords[ci++], coords[ci++], endx = coords[ci++], endy = coords[ci++], 0); curx = endx; cury = endy; break; case PathIterator.SEG_CUBICTO: crossings += Curve.pointCrossingsForCubic(px, py, curx, cury, coords[ci++], coords[ci++], coords[ci++], coords[ci++], endx = coords[ci++], endy = coords[ci++], 0); curx = endx; cury = endy; break; case PathIterator.SEG_CLOSE: if (cury != movy) { crossings += Curve.pointCrossingsForLine(px, py, curx, cury, movx, movy); } curx = movx; cury = movy; break; } } if (cury != movy) { crossings += Curve.pointCrossingsForLine(px, py, curx, cury, movx, movy); } return crossings; } int rectCrossings(double rxmin, double rymin, double rxmax, double rymax) { double coords[] = doubleCoords; double curx, cury, movx, movy, endx, endy; curx = movx = coords[0]; cury = movy = coords[1]; int crossings = 0; int ci = 2; for (int i = 1; crossings != Curve.RECT_INTERSECTS && i < numTypes; i++) { switch (pointTypes[i]) { case PathIterator.SEG_MOVETO: if (curx != movx || cury != movy) { crossings = Curve.rectCrossingsForLine(crossings, rxmin, rymin, rxmax, rymax, curx, cury, movx, movy); } // Count should always be a multiple of 2 here. // assert((crossings & 1) != 0); movx = curx = coords[ci++]; movy = cury = coords[ci++]; break; case PathIterator.SEG_LINETO: endx = coords[ci++]; endy = coords[ci++]; crossings = Curve.rectCrossingsForLine(crossings, rxmin, rymin, rxmax, rymax, curx, cury, endx, endy); curx = endx; cury = endy; break; case PathIterator.SEG_QUADTO: crossings = Curve.rectCrossingsForQuad(crossings, rxmin, rymin, rxmax, rymax, curx, cury, coords[ci++], coords[ci++], endx = coords[ci++], endy = coords[ci++], 0); curx = endx; cury = endy; break; case PathIterator.SEG_CUBICTO: crossings = Curve.rectCrossingsForCubic(crossings, rxmin, rymin, rxmax, rymax, curx, cury, coords[ci++], coords[ci++], coords[ci++], coords[ci++], endx = coords[ci++], endy = coords[ci++], 0); curx = endx; cury = endy; break; case PathIterator.SEG_CLOSE: if (curx != movx || cury != movy) { crossings = Curve.rectCrossingsForLine(crossings, rxmin, rymin, rxmax, rymax, curx, cury, movx, movy); } curx = movx; cury = movy; // Count should always be a multiple of 2 here. // assert((crossings & 1) != 0); break; } } if (crossings != Curve.RECT_INTERSECTS && (curx != movx || cury != movy)) { crossings = Curve.rectCrossingsForLine(crossings, rxmin, rymin, rxmax, rymax, curx, cury, movx, movy); } // Count should always be a multiple of 2 here. // assert((crossings & 1) != 0); return crossings; } /** * {@inheritDoc} * @since 1.6 */ public final void append(PathIterator pi, boolean connect) { double coords[] = new double[6]; while (!pi.isDone()) { switch (pi.currentSegment(coords)) { case SEG_MOVETO: if (!connect || numTypes < 1 || numCoords < 1) { moveTo(coords[0], coords[1]); break; } if (pointTypes[numTypes - 1] != SEG_CLOSE && doubleCoords[numCoords-2] == coords[0] && doubleCoords[numCoords-1] == coords[1]) { // Collapse out initial moveto/lineto break; } lineTo(coords[0], coords[1]); break; case SEG_LINETO: lineTo(coords[0], coords[1]); break; case SEG_QUADTO: quadTo(coords[0], coords[1], coords[2], coords[3]); break; case SEG_CUBICTO: curveTo(coords[0], coords[1], coords[2], coords[3], coords[4], coords[5]); break; case SEG_CLOSE: closePath(); break; } pi.next(); connect = false; } } /** * {@inheritDoc} * @since 1.6 */ public final void transform(AffineTransform at) { at.transform(doubleCoords, 0, doubleCoords, 0, numCoords / 2); } /** * {@inheritDoc} * @since 1.6 */ public final synchronized Rectangle2D getBounds2D() { double x1, y1, x2, y2; int i = numCoords; if (i > 0) { y1 = y2 = doubleCoords[--i]; x1 = x2 = doubleCoords[--i]; while (i > 0) { double y = doubleCoords[--i]; double x = doubleCoords[--i]; if (x < x1) x1 = x; if (y < y1) y1 = y; if (x > x2) x2 = x; if (y > y2) y2 = y; } } else { x1 = y1 = x2 = y2 = 0.0; } return new Rectangle2D.Double(x1, y1, x2 - x1, y2 - y1); } /** * {@inheritDoc} * <p> * The iterator for this class is not multi-threaded safe, * which means that the {@code Path2D} class does not * guarantee that modifications to the geometry of this * {@code Path2D} object do not affect any iterations of * that geometry that are already in process. * * @param at an {@code AffineTransform} * @return a new {@code PathIterator} that iterates along the boundary * of this {@code Shape} and provides access to the geometry * of this {@code Shape}'s outline * @since 1.6 */ public final PathIterator getPathIterator(AffineTransform at) { if (at == null) { return new CopyIterator(this); } else { return new TxIterator(this, at); } } /** * Creates a new object of the same class as this object. * * @return a clone of this instance. * @exception OutOfMemoryError if there is not enough memory. * @see java.lang.Cloneable * @since 1.6 */ public final Object clone() { // Note: It would be nice to have this return Path2D // but one of our subclasses (GeneralPath) needs to // offer "public Object clone()" for backwards // compatibility so we cannot restrict it further. // REMIND: Can we do both somehow? return new Path2D.Double(this); } /* * JDK 1.6 serialVersionUID */ private static final long serialVersionUID = 1826762518450014216L; /** * Writes the default serializable fields to the * {@code ObjectOutputStream} followed by an explicit * serialization of the path segments stored in this * path. * * @serialData * <a name="Path2DSerialData"> * <ol> * <li>The default serializable fields. * There are no default serializable fields as of 1.6. * <li>followed by * a byte indicating the storage type of the original object * as a hint (SERIAL_STORAGE_DBL_ARRAY) * <li>followed by * an integer indicating the number of path segments to follow (NP) * or -1 to indicate an unknown number of path segments follows * <li>followed by * an integer indicating the total number of coordinates to follow (NC) * or -1 to indicate an unknown number of coordinates follows * (NC should always be even since coordinates always appear in pairs * representing an x,y pair) * <li>followed by * a byte indicating the winding rule * ({@link #WIND_EVEN_ODD WIND_EVEN_ODD} or * {@link #WIND_NON_ZERO WIND_NON_ZERO}) * <li>followed by * {@code NP} (or unlimited if {@code NP < 0}) sets of values consisting of * a single byte indicating a path segment type * followed by one or more pairs of float or double * values representing the coordinates of the path segment * <li>followed by * a byte indicating the end of the path (SERIAL_PATH_END). * </ol> * <p> * The following byte value constants are used in the serialized form * of {@code Path2D} objects: * <table> * <tr> * <th>Constant Name * <th>Byte Value * <th>Followed by * <th>Description * </tr> * <tr> * <td>{@code SERIAL_STORAGE_FLT_ARRAY} * <td>0x30 * <td> * <td>A hint that the original {@code Path2D} object stored * the coordinates in a Java array of floats.</td> * </tr> * <tr> * <td>{@code SERIAL_STORAGE_DBL_ARRAY} * <td>0x31 * <td> * <td>A hint that the original {@code Path2D} object stored * the coordinates in a Java array of doubles.</td> * </tr> * <tr> * <td>{@code SERIAL_SEG_FLT_MOVETO} * <td>0x40 * <td>2 floats * <td>A {@link #moveTo moveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_FLT_LINETO} * <td>0x41 * <td>2 floats * <td>A {@link #lineTo lineTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_FLT_QUADTO} * <td>0x42 * <td>4 floats * <td>A {@link #quadTo quadTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_FLT_CUBICTO} * <td>0x43 * <td>6 floats * <td>A {@link #curveTo curveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_DBL_MOVETO} * <td>0x50 * <td>2 doubles * <td>A {@link #moveTo moveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_DBL_LINETO} * <td>0x51 * <td>2 doubles * <td>A {@link #lineTo lineTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_DBL_QUADTO} * <td>0x52 * <td>4 doubles * <td>A {@link #curveTo curveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_DBL_CUBICTO} * <td>0x53 * <td>6 doubles * <td>A {@link #curveTo curveTo} path segment follows. * </tr> * <tr> * <td>{@code SERIAL_SEG_CLOSE} * <td>0x60 * <td> * <td>A {@link #closePath closePath} path segment. * </tr> * <tr> * <td>{@code SERIAL_PATH_END} * <td>0x61 * <td> * <td>There are no more path segments following. * </table> * * @since 1.6 */ private void writeObject(java.io.ObjectOutputStream s) throws java.io.IOException { super.writeObject(s, true); } /** * Reads the default serializable fields from the * {@code ObjectInputStream} followed by an explicit * serialization of the path segments stored in this * path. * <p> * There are no default serializable fields as of 1.6. * <p> * The serial data for this object is described in the * writeObject method. * * @since 1.6 */ private void readObject(java.io.ObjectInputStream s) throws java.lang.ClassNotFoundException, java.io.IOException { super.readObject(s, true); } static class CopyIterator extends Path2D.Iterator { double doubleCoords[]; CopyIterator(Path2D.Double p2dd) { super(p2dd); this.doubleCoords = p2dd.doubleCoords; } public int currentSegment(float[] coords) { int type = path.pointTypes[typeIdx]; int numCoords = curvecoords[type]; if (numCoords > 0) { for (int i = 0; i < numCoords; i++) { coords[i] = (float) doubleCoords[pointIdx + i]; } } return type; } public int currentSegment(double[] coords) { int type = path.pointTypes[typeIdx]; int numCoords = curvecoords[type]; if (numCoords > 0) { System.arraycopy(doubleCoords, pointIdx, coords, 0, numCoords); } return type; } } static class TxIterator extends Path2D.Iterator { double doubleCoords[]; AffineTransform affine; TxIterator(Path2D.Double p2dd, AffineTransform at) { super(p2dd); this.doubleCoords = p2dd.doubleCoords; this.affine = at; } public int currentSegment(float[] coords) { int type = path.pointTypes[typeIdx]; int numCoords = curvecoords[type]; if (numCoords > 0) { affine.transform(doubleCoords, pointIdx, coords, 0, numCoords / 2); } return type; } public int currentSegment(double[] coords) { int type = path.pointTypes[typeIdx]; int numCoords = curvecoords[type]; if (numCoords > 0) { affine.transform(doubleCoords, pointIdx, coords, 0, numCoords / 2); } return type; } } } /** * Adds a point to the path by moving to the specified * coordinates specified in double precision. * * @param x the specified X coordinate * @param y the specified Y coordinate * @since 1.6 */ public abstract void moveTo(double x, double y); /** * Adds a point to the path by drawing a straight line from the * current coordinates to the new specified coordinates * specified in double precision. * * @param x the specified X coordinate * @param y the specified Y coordinate * @since 1.6 */ public abstract void lineTo(double x, double y); /** * Adds a curved segment, defined by two new points, to the path by * drawing a Quadratic curve that intersects both the current * coordinates and the specified coordinates {@code (x2,y2)}, * using the specified point {@code (x1,y1)} as a quadratic * parametric control point. * All coordinates are specified in double precision. * * @param x1 the X coordinate of the quadratic control point * @param y1 the Y coordinate of the quadratic control point * @param x2 the X coordinate of the final end point * @param y2 the Y coordinate of the final end point * @since 1.6 */ public abstract void quadTo(double x1, double y1, double x2, double y2); /** * Adds a curved segment, defined by three new points, to the path by * drawing a Bézier curve that intersects both the current * coordinates and the specified coordinates {@code (x3,y3)}, * using the specified points {@code (x1,y1)} and {@code (x2,y2)} as * Bézier control points. * All coordinates are specified in double precision. * * @param x1 the X coordinate of the first Bézier control point * @param y1 the Y coordinate of the first Bézier control point * @param x2 the X coordinate of the second Bézier control point * @param y2 the Y coordinate of the second Bézier control point * @param x3 the X coordinate of the final end point * @param y3 the Y coordinate of the final end point * @since 1.6 */ public abstract void curveTo(double x1, double y1, double x2, double y2, double x3, double y3); /** * Closes the current subpath by drawing a straight line back to * the coordinates of the last {@code moveTo}. If the path is already * closed then this method has no effect. * * @since 1.6 */ public final synchronized void closePath() { if (numTypes == 0 || pointTypes[numTypes - 1] != SEG_CLOSE) { needRoom(true, 0); pointTypes[numTypes++] = SEG_CLOSE; } } /** * Appends the geometry of the specified {@code Shape} object to the * path, possibly connecting the new geometry to the existing path * segments with a line segment. * If the {@code connect} parameter is {@code true} and the * path is not empty then any initial {@code moveTo} in the * geometry of the appended {@code Shape} * is turned into a {@code lineTo} segment. * If the destination coordinates of such a connecting {@code lineTo} * segment match the ending coordinates of a currently open * subpath then the segment is omitted as superfluous. * The winding rule of the specified {@code Shape} is ignored * and the appended geometry is governed by the winding * rule specified for this path. * * @param s the {@code Shape} whose geometry is appended * to this path * @param connect a boolean to control whether or not to turn an initial * {@code moveTo} segment into a {@code lineTo} segment * to connect the new geometry to the existing path * @since 1.6 */ public final void append(Shape s, boolean connect) { append(s.getPathIterator(null), connect); } /** * Appends the geometry of the specified * {@link PathIterator} object * to the path, possibly connecting the new geometry to the existing * path segments with a line segment. * If the {@code connect} parameter is {@code true} and the * path is not empty then any initial {@code moveTo} in the * geometry of the appended {@code Shape} is turned into a * {@code lineTo} segment. * If the destination coordinates of such a connecting {@code lineTo} * segment match the ending coordinates of a currently open * subpath then the segment is omitted as superfluous. * The winding rule of the specified {@code Shape} is ignored * and the appended geometry is governed by the winding * rule specified for this path. * * @param pi the {@code PathIterator} whose geometry is appended to * this path * @param connect a boolean to control whether or not to turn an initial * {@code moveTo} segment into a {@code lineTo} segment * to connect the new geometry to the existing path * @since 1.6 */ public abstract void append(PathIterator pi, boolean connect); /** * Returns the fill style winding rule. * * @return an integer representing the current winding rule. * @see #WIND_EVEN_ODD * @see #WIND_NON_ZERO * @see #setWindingRule * @since 1.6 */ public final synchronized int getWindingRule() { return windingRule; } /** * Sets the winding rule for this path to the specified value. * * @param rule an integer representing the specified * winding rule * @exception IllegalArgumentException if * {@code rule} is not either * {@link #WIND_EVEN_ODD} or * {@link #WIND_NON_ZERO} * @see #getWindingRule * @since 1.6 */ public final void setWindingRule(int rule) { if (rule != WIND_EVEN_ODD && rule != WIND_NON_ZERO) { throw new IllegalArgumentException("winding rule must be "+ "WIND_EVEN_ODD or "+ "WIND_NON_ZERO"); } windingRule = rule; } /** * Returns the coordinates most recently added to the end of the path * as a {@link Point2D} object. * * @return a {@code Point2D} object containing the ending coordinates of * the path or {@code null} if there are no points in the path. * @since 1.6 */ public final synchronized Point2D getCurrentPoint() { int index = numCoords; if (numTypes < 1 || index < 1) { return null; } if (pointTypes[numTypes - 1] == SEG_CLOSE) { loop: for (int i = numTypes - 2; i > 0; i--) { switch (pointTypes[i]) { case SEG_MOVETO: break loop; case SEG_LINETO: index -= 2; break; case SEG_QUADTO: index -= 4; break; case SEG_CUBICTO: index -= 6; break; case SEG_CLOSE: break; } } } return getPoint(index - 2); } /** * Resets the path to empty. The append position is set back to the * beginning of the path and all coordinates and point types are * forgotten. * * @since 1.6 */ public final synchronized void reset() { numTypes = numCoords = 0; } /** * Transforms the geometry of this path using the specified * {@link AffineTransform}. * The geometry is transformed in place, which permanently changes the * boundary defined by this object. * * @param at the {@code AffineTransform} used to transform the area * @since 1.6 */ public abstract void transform(AffineTransform at); /** * Returns a new {@code Shape} representing a transformed version * of this {@code Path2D}. * Note that the exact type and coordinate precision of the return * value is not specified for this method. * The method will return a Shape that contains no less precision * for the transformed geometry than this {@code Path2D} currently * maintains, but it may contain no more precision either. * If the tradeoff of precision vs. storage size in the result is * important then the convenience constructors in the * {@link Path2D.Float#Path2D.Float(Shape, AffineTransform) Path2D.Float} * and * {@link Path2D.Double#Path2D.Double(Shape, AffineTransform) Path2D.Double} * subclasses should be used to make the choice explicit. * * @param at the {@code AffineTransform} used to transform a * new {@code Shape}. * @return a new {@code Shape}, transformed with the specified * {@code AffineTransform}. * @since 1.6 */ public final synchronized Shape createTransformedShape(AffineTransform at) { Path2D p2d = (Path2D) clone(); if (at != null) { p2d.transform(at); } return p2d; } /** * {@inheritDoc} * @since 1.6 */ public final Rectangle getBounds() { return getBounds2D().getBounds(); } /** * Tests if the specified coordinates are inside the closed * boundary of the specified {@link PathIterator}. * <p> * This method provides a basic facility for implementors of * the {@link Shape} interface to implement support for the * {@link Shape#contains(double, double)} method. * * @param pi the specified {@code PathIterator} * @param x the specified X coordinate * @param y the specified Y coordinate * @return {@code true} if the specified coordinates are inside the * specified {@code PathIterator}; {@code false} otherwise * @since 1.6 */ public static boolean contains(PathIterator pi, double x, double y) { if (x * 0.0 + y * 0.0 == 0.0) { /* N * 0.0 is 0.0 only if N is finite. * Here we know that both x and y are finite. */ int mask = (pi.getWindingRule() == WIND_NON_ZERO ? -1 : 1); int cross = Curve.pointCrossingsForPath(pi, x, y); return ((cross & mask) != 0); } else { /* Either x or y was infinite or NaN. * A NaN always produces a negative response to any test * and Infinity values cannot be "inside" any path so * they should return false as well. */ return false; } } /** * Tests if the specified {@link Point2D} is inside the closed * boundary of the specified {@link PathIterator}. * <p> * This method provides a basic facility for implementors of * the {@link Shape} interface to implement support for the * {@link Shape#contains(Point2D)} method. * * @param pi the specified {@code PathIterator} * @param p the specified {@code Point2D} * @return {@code true} if the specified coordinates are inside the * specified {@code PathIterator}; {@code false} otherwise * @since 1.6 */ public static boolean contains(PathIterator pi, Point2D p) { return contains(pi, p.getX(), p.getY()); } /** * {@inheritDoc} * @since 1.6 */ public final boolean contains(double x, double y) { if (x * 0.0 + y * 0.0 == 0.0) { /* N * 0.0 is 0.0 only if N is finite. * Here we know that both x and y are finite. */ if (numTypes < 2) { return false; } int mask = (windingRule == WIND_NON_ZERO ? -1 : 1); return ((pointCrossings(x, y) & mask) != 0); } else { /* Either x or y was infinite or NaN. * A NaN always produces a negative response to any test * and Infinity values cannot be "inside" any path so * they should return false as well. */ return false; } } /** * {@inheritDoc} * @since 1.6 */ public final boolean contains(Point2D p) { return contains(p.getX(), p.getY()); } /** * Tests if the specified rectangular area is entirely inside the * closed boundary of the specified {@link PathIterator}. * <p> * This method provides a basic facility for implementors of * the {@link Shape} interface to implement support for the * {@link Shape#contains(double, double, double, double)} method. * <p> * This method object may conservatively return false in * cases where the specified rectangular area intersects a * segment of the path, but that segment does not represent a * boundary between the interior and exterior of the path. * Such segments could lie entirely within the interior of the * path if they are part of a path with a {@link #WIND_NON_ZERO} * winding rule or if the segments are retraced in the reverse * direction such that the two sets of segments cancel each * other out without any exterior area falling between them. * To determine whether segments represent true boundaries of * the interior of the path would require extensive calculations * involving all of the segments of the path and the winding * rule and are thus beyond the scope of this implementation. * * @param pi the specified {@code PathIterator} * @param x the specified X coordinate * @param y the specified Y coordinate * @param w the width of the specified rectangular area * @param h the height of the specified rectangular area * @return {@code true} if the specified {@code PathIterator} contains * the specified rectangular area; {@code false} otherwise. * @since 1.6 */ public static boolean contains(PathIterator pi, double x, double y, double w, double h) { if (java.lang.Double.isNaN(x+w) || java.lang.Double.isNaN(y+h)) { /* [xy]+[wh] is NaN if any of those values are NaN, * or if adding the two together would produce NaN * by virtue of adding opposing Infinte values. * Since we need to add them below, their sum must * not be NaN. * We return false because NaN always produces a * negative response to tests */ return false; } if (w <= 0 || h <= 0) { return false; } int mask = (pi.getWindingRule() == WIND_NON_ZERO ? -1 : 2); int crossings = Curve.rectCrossingsForPath(pi, x, y, x+w, y+h); return (crossings != Curve.RECT_INTERSECTS && (crossings & mask) != 0); } /** * Tests if the specified {@link Rectangle2D} is entirely inside the * closed boundary of the specified {@link PathIterator}. * <p> * This method provides a basic facility for implementors of * the {@link Shape} interface to implement support for the * {@link Shape#contains(Rectangle2D)} method. * <p> * This method object may conservatively return false in * cases where the specified rectangular area intersects a * segment of the path, but that segment does not represent a * boundary between the interior and exterior of the path. * Such segments could lie entirely within the interior of the * path if they are part of a path with a {@link #WIND_NON_ZERO} * winding rule or if the segments are retraced in the reverse * direction such that the two sets of segments cancel each * other out without any exterior area falling between them. * To determine whether segments represent true boundaries of * the interior of the path would require extensive calculations * involving all of the segments of the path and the winding * rule and are thus beyond the scope of this implementation. * * @param pi the specified {@code PathIterator} * @param r a specified {@code Rectangle2D} * @return {@code true} if the specified {@code PathIterator} contains * the specified {@code Rectangle2D}; {@code false} otherwise. * @since 1.6 */ public static boolean contains(PathIterator pi, Rectangle2D r) { return contains(pi, r.getX(), r.getY(), r.getWidth(), r.getHeight()); } /** * {@inheritDoc} * <p> * This method object may conservatively return false in * cases where the specified rectangular area intersects a * segment of the path, but that segment does not represent a * boundary between the interior and exterior of the path. * Such segments could lie entirely within the interior of the * path if they are part of a path with a {@link #WIND_NON_ZERO} * winding rule or if the segments are retraced in the reverse * direction such that the two sets of segments cancel each * other out without any exterior area falling between them. * To determine whether segments represent true boundaries of * the interior of the path would require extensive calculations * involving all of the segments of the path and the winding * rule and are thus beyond the scope of this implementation. * * @since 1.6 */ public final boolean contains(double x, double y, double w, double h) { if (java.lang.Double.isNaN(x+w) || java.lang.Double.isNaN(y+h)) { /* [xy]+[wh] is NaN if any of those values are NaN, * or if adding the two together would produce NaN * by virtue of adding opposing Infinte values. * Since we need to add them below, their sum must * not be NaN. * We return false because NaN always produces a * negative response to tests */ return false; } if (w <= 0 || h <= 0) { return false; } int mask = (windingRule == WIND_NON_ZERO ? -1 : 2); int crossings = rectCrossings(x, y, x+w, y+h); return (crossings != Curve.RECT_INTERSECTS && (crossings & mask) != 0); } /** * {@inheritDoc} * <p> * This method object may conservatively return false in * cases where the specified rectangular area intersects a * segment of the path, but that segment does not represent a * boundary between the interior and exterior of the path. * Such segments could lie entirely within the interior of the * path if they are part of a path with a {@link #WIND_NON_ZERO} * winding rule or if the segments are retraced in the reverse * direction such that the two sets of segments cancel each * other out without any exterior area falling between them. * To determine whether segments represent true boundaries of * the interior of the path would require extensive calculations * involving all of the segments of the path and the winding * rule and are thus beyond the scope of this implementation. * * @since 1.6 */ public final boolean contains(Rectangle2D r) { return contains(r.getX(), r.getY(), r.getWidth(), r.getHeight()); } /** * Tests if the interior of the specified {@link PathIterator} * intersects the interior of a specified set of rectangular * coordinates. * <p> * This method provides a basic facility for implementors of * the {@link Shape} interface to implement support for the * {@link Shape#intersects(double, double, double, double)} method. * <p> * This method object may conservatively return true in * cases where the specified rectangular area intersects a * segment of the path, but that segment does not represent a * boundary between the interior and exterior of the path. * Such a case may occur if some set of segments of the * path are retraced in the reverse direction such that the * two sets of segments cancel each other out without any * interior area between them. * To determine whether segments represent true boundaries of * the interior of the path would require extensive calculations * involving all of the segments of the path and the winding * rule and are thus beyond the scope of this implementation. * * @param pi the specified {@code PathIterator} * @param x the specified X coordinate * @param y the specified Y coordinate * @param w the width of the specified rectangular coordinates * @param h the height of the specified rectangular coordinates * @return {@code true} if the specified {@code PathIterator} and * the interior of the specified set of rectangular * coordinates intersect each other; {@code false} otherwise. * @since 1.6 */ public static boolean intersects(PathIterator pi, double x, double y, double w, double h) { if (java.lang.Double.isNaN(x+w) || java.lang.Double.isNaN(y+h)) { /* [xy]+[wh] is NaN if any of those values are NaN, * or if adding the two together would produce NaN * by virtue of adding opposing Infinte values. * Since we need to add them below, their sum must * not be NaN. * We return false because NaN always produces a * negative response to tests */ return false; } if (w <= 0 || h <= 0) { return false; } int mask = (pi.getWindingRule() == WIND_NON_ZERO ? -1 : 2); int crossings = Curve.rectCrossingsForPath(pi, x, y, x+w, y+h); return (crossings == Curve.RECT_INTERSECTS || (crossings & mask) != 0); } /** * Tests if the interior of the specified {@link PathIterator} * intersects the interior of a specified {@link Rectangle2D}. * <p> * This method provides a basic facility for implementors of * the {@link Shape} interface to implement support for the * {@link Shape#intersects(Rectangle2D)} method. * <p> * This method object may conservatively return true in * cases where the specified rectangular area intersects a * segment of the path, but that segment does not represent a * boundary between the interior and exterior of the path. * Such a case may occur if some set of segments of the * path are retraced in the reverse direction such that the * two sets of segments cancel each other out without any * interior area between them. * To determine whether segments represent true boundaries of * the interior of the path would require extensive calculations * involving all of the segments of the path and the winding * rule and are thus beyond the scope of this implementation. * * @param pi the specified {@code PathIterator} * @param r the specified {@code Rectangle2D} * @return {@code true} if the specified {@code PathIterator} and * the interior of the specified {@code Rectangle2D} * intersect each other; {@code false} otherwise. * @since 1.6 */ public static boolean intersects(PathIterator pi, Rectangle2D r) { return intersects(pi, r.getX(), r.getY(), r.getWidth(), r.getHeight()); } /** * {@inheritDoc} * <p> * This method object may conservatively return true in * cases where the specified rectangular area intersects a * segment of the path, but that segment does not represent a * boundary between the interior and exterior of the path. * Such a case may occur if some set of segments of the * path are retraced in the reverse direction such that the * two sets of segments cancel each other out without any * interior area between them. * To determine whether segments represent true boundaries of * the interior of the path would require extensive calculations * involving all of the segments of the path and the winding * rule and are thus beyond the scope of this implementation. * * @since 1.6 */ public final boolean intersects(double x, double y, double w, double h) { if (java.lang.Double.isNaN(x+w) || java.lang.Double.isNaN(y+h)) { /* [xy]+[wh] is NaN if any of those values are NaN, * or if adding the two together would produce NaN * by virtue of adding opposing Infinte values. * Since we need to add them below, their sum must * not be NaN. * We return false because NaN always produces a * negative response to tests */ return false; } if (w <= 0 || h <= 0) { return false; } int mask = (windingRule == WIND_NON_ZERO ? -1 : 2); int crossings = rectCrossings(x, y, x+w, y+h); return (crossings == Curve.RECT_INTERSECTS || (crossings & mask) != 0); } /** * {@inheritDoc} * <p> * This method object may conservatively return true in * cases where the specified rectangular area intersects a * segment of the path, but that segment does not represent a * boundary between the interior and exterior of the path. * Such a case may occur if some set of segments of the * path are retraced in the reverse direction such that the * two sets of segments cancel each other out without any * interior area between them. * To determine whether segments represent true boundaries of * the interior of the path would require extensive calculations * involving all of the segments of the path and the winding * rule and are thus beyond the scope of this implementation. * * @since 1.6 */ public final boolean intersects(Rectangle2D r) { return intersects(r.getX(), r.getY(), r.getWidth(), r.getHeight()); } /** * {@inheritDoc} * <p> * The iterator for this class is not multi-threaded safe, * which means that this {@code Path2D} class does not * guarantee that modifications to the geometry of this * {@code Path2D} object do not affect any iterations of * that geometry that are already in process. * * @since 1.6 */ public final PathIterator getPathIterator(AffineTransform at, double flatness) { return new FlatteningPathIterator(getPathIterator(at), flatness); } /** * Creates a new object of the same class as this object. * * @return a clone of this instance. * @exception OutOfMemoryError if there is not enough memory. * @see java.lang.Cloneable * @since 1.6 */ public abstract Object clone(); // Note: It would be nice to have this return Path2D // but one of our subclasses (GeneralPath) needs to // offer "public Object clone()" for backwards // compatibility so we cannot restrict it further. // REMIND: Can we do both somehow? /* * Support fields and methods for serializing the subclasses. */ private static final byte SERIAL_STORAGE_FLT_ARRAY = 0x30; private static final byte SERIAL_STORAGE_DBL_ARRAY = 0x31; private static final byte SERIAL_SEG_FLT_MOVETO = 0x40; private static final byte SERIAL_SEG_FLT_LINETO = 0x41; private static final byte SERIAL_SEG_FLT_QUADTO = 0x42; private static final byte SERIAL_SEG_FLT_CUBICTO = 0x43; private static final byte SERIAL_SEG_DBL_MOVETO = 0x50; private static final byte SERIAL_SEG_DBL_LINETO = 0x51; private static final byte SERIAL_SEG_DBL_QUADTO = 0x52; private static final byte SERIAL_SEG_DBL_CUBICTO = 0x53; private static final byte SERIAL_SEG_CLOSE = 0x60; private static final byte SERIAL_PATH_END = 0x61; final void writeObject(java.io.ObjectOutputStream s, boolean isdbl) throws java.io.IOException { s.defaultWriteObject(); float fCoords[]; double dCoords[]; if (isdbl) { dCoords = ((Path2D.Double) this).doubleCoords; fCoords = null; } else { fCoords = ((Path2D.Float) this).floatCoords; dCoords = null; } int numTypes = this.numTypes; s.writeByte(isdbl ? SERIAL_STORAGE_DBL_ARRAY : SERIAL_STORAGE_FLT_ARRAY); s.writeInt(numTypes); s.writeInt(numCoords); s.writeByte((byte) windingRule); int cindex = 0; for (int i = 0; i < numTypes; i++) { int npoints; byte serialtype; switch (pointTypes[i]) { case SEG_MOVETO: npoints = 1; serialtype = (isdbl ? SERIAL_SEG_DBL_MOVETO : SERIAL_SEG_FLT_MOVETO); break; case SEG_LINETO: npoints = 1; serialtype = (isdbl ? SERIAL_SEG_DBL_LINETO : SERIAL_SEG_FLT_LINETO); break; case SEG_QUADTO: npoints = 2; serialtype = (isdbl ? SERIAL_SEG_DBL_QUADTO : SERIAL_SEG_FLT_QUADTO); break; case SEG_CUBICTO: npoints = 3; serialtype = (isdbl ? SERIAL_SEG_DBL_CUBICTO : SERIAL_SEG_FLT_CUBICTO); break; case SEG_CLOSE: npoints = 0; serialtype = SERIAL_SEG_CLOSE; break; default: // Should never happen throw new InternalError("unrecognized path type"); } s.writeByte(serialtype); while (--npoints >= 0) { if (isdbl) { s.writeDouble(dCoords[cindex++]); s.writeDouble(dCoords[cindex++]); } else { s.writeFloat(fCoords[cindex++]); s.writeFloat(fCoords[cindex++]); } } } s.writeByte(SERIAL_PATH_END); } final void readObject(java.io.ObjectInputStream s, boolean storedbl) throws java.lang.ClassNotFoundException, java.io.IOException { s.defaultReadObject(); // The subclass calls this method with the storage type that // they want us to use (storedbl) so we ignore the storage // method hint from the stream. s.readByte(); int nT = s.readInt(); int nC = s.readInt(); try { setWindingRule(s.readByte()); } catch (IllegalArgumentException iae) { throw new java.io.InvalidObjectException(iae.getMessage()); } pointTypes = new byte[(nT < 0) ? INIT_SIZE : nT]; if (nC < 0) { nC = INIT_SIZE * 2; } if (storedbl) { ((Path2D.Double) this).doubleCoords = new double[nC]; } else { ((Path2D.Float) this).floatCoords = new float[nC]; } PATHDONE: for (int i = 0; nT < 0 || i < nT; i++) { boolean isdbl; int npoints; byte segtype; byte serialtype = s.readByte(); switch (serialtype) { case SERIAL_SEG_FLT_MOVETO: isdbl = false; npoints = 1; segtype = SEG_MOVETO; break; case SERIAL_SEG_FLT_LINETO: isdbl = false; npoints = 1; segtype = SEG_LINETO; break; case SERIAL_SEG_FLT_QUADTO: isdbl = false; npoints = 2; segtype = SEG_QUADTO; break; case SERIAL_SEG_FLT_CUBICTO: isdbl = false; npoints = 3; segtype = SEG_CUBICTO; break; case SERIAL_SEG_DBL_MOVETO: isdbl = true; npoints = 1; segtype = SEG_MOVETO; break; case SERIAL_SEG_DBL_LINETO: isdbl = true; npoints = 1; segtype = SEG_LINETO; break; case SERIAL_SEG_DBL_QUADTO: isdbl = true; npoints = 2; segtype = SEG_QUADTO; break; case SERIAL_SEG_DBL_CUBICTO: isdbl = true; npoints = 3; segtype = SEG_CUBICTO; break; case SERIAL_SEG_CLOSE: isdbl = false; npoints = 0; segtype = SEG_CLOSE; break; case SERIAL_PATH_END: if (nT < 0) { break PATHDONE; } throw new StreamCorruptedException("unexpected PATH_END"); default: throw new StreamCorruptedException("unrecognized path type"); } needRoom(segtype != SEG_MOVETO, npoints * 2); if (isdbl) { while (--npoints >= 0) { append(s.readDouble(), s.readDouble()); } } else { while (--npoints >= 0) { append(s.readFloat(), s.readFloat()); } } pointTypes[numTypes++] = segtype; } if (nT >= 0 && s.readByte() != SERIAL_PATH_END) { throw new StreamCorruptedException("missing PATH_END"); } } static abstract class Iterator implements PathIterator { int typeIdx; int pointIdx; Path2D path; static final int curvecoords[] = {2, 2, 4, 6, 0}; Iterator(Path2D path) { this.path = path; } public int getWindingRule() { return path.getWindingRule(); } public boolean isDone() { return (typeIdx >= path.numTypes); } public void next() { int type = path.pointTypes[typeIdx++]; pointIdx += curvecoords[type]; } } }

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Java - Java tags/keywords

affinetransform, awt, double, expand_max, float, init_size, path2d, pathiterator, point2d, seg_close, seg_cubicto, seg_lineto, seg_moveto, seg_quadto, util, wind_non_zero

The Path2D.java Java example source code

/*
 * Copyright (c) 2006, 2013, Oracle and/or its affiliates. All rights reserved.
 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
 *
 * This code is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License version 2 only, as
 * published by the Free Software Foundation.  Oracle designates this
 * particular file as subject to the "Classpath" exception as provided
 * by Oracle in the LICENSE file that accompanied this code.
 *
 * This code is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 * version 2 for more details (a copy is included in the LICENSE file that
 * accompanied this code).
 *
 * You should have received a copy of the GNU General Public License version
 * 2 along with this work; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
 *
 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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package java.awt.geom;

import java.awt.Shape;
import java.awt.Rectangle;
import sun.awt.geom.Curve;
import java.io.Serializable;
import java.io.StreamCorruptedException;
import java.util.Arrays;

/**
 * The {@code Path2D} class provides a simple, yet flexible
 * shape which represents an arbitrary geometric path.
 * It can fully represent any path which can be iterated by the
 * {@link PathIterator} interface including all of its segment
 * types and winding rules and it implements all of the
 * basic hit testing methods of the {@link Shape} interface.
 * <p>
 * Use {@link Path2D.Float} when dealing with data that can be represented
 * and used with floating point precision.  Use {@link Path2D.Double}
 * for data that requires the accuracy or range of double precision.
 * <p>
 * {@code Path2D} provides exactly those facilities required for
 * basic construction and management of a geometric path and
 * implementation of the above interfaces with little added
 * interpretation.
 * If it is useful to manipulate the interiors of closed
 * geometric shapes beyond simple hit testing then the
 * {@link Area} class provides additional capabilities
 * specifically targeted at closed figures.
 * While both classes nominally implement the {@code Shape}
 * interface, they differ in purpose and together they provide
 * two useful views of a geometric shape where {@code Path2D}
 * deals primarily with a trajectory formed by path segments
 * and {@code Area} deals more with interpretation and manipulation
 * of enclosed regions of 2D geometric space.
 * <p>
 * The {@link PathIterator} interface has more detailed descriptions
 * of the types of segments that make up a path and the winding rules
 * that control how to determine which regions are inside or outside
 * the path.
 *
 * @author Jim Graham
 * @since 1.6
 */
public abstract class Path2D implements Shape, Cloneable {
    /**
     * An even-odd winding rule for determining the interior of
     * a path.
     *
     * @see PathIterator#WIND_EVEN_ODD
     * @since 1.6
     */
    public static final int WIND_EVEN_ODD = PathIterator.WIND_EVEN_ODD;

    /**
     * A non-zero winding rule for determining the interior of a
     * path.
     *
     * @see PathIterator#WIND_NON_ZERO
     * @since 1.6
     */
    public static final int WIND_NON_ZERO = PathIterator.WIND_NON_ZERO;

    // For code simplicity, copy these constants to our namespace
    // and cast them to byte constants for easy storage.
    private static final byte SEG_MOVETO  = (byte) PathIterator.SEG_MOVETO;
    private static final byte SEG_LINETO  = (byte) PathIterator.SEG_LINETO;
    private static final byte SEG_QUADTO  = (byte) PathIterator.SEG_QUADTO;
    private static final byte SEG_CUBICTO = (byte) PathIterator.SEG_CUBICTO;
    private static final byte SEG_CLOSE   = (byte) PathIterator.SEG_CLOSE;

    transient byte[] pointTypes;
    transient int numTypes;
    transient int numCoords;
    transient int windingRule;

    static final int INIT_SIZE = 20;
    static final int EXPAND_MAX = 500;

    /**
     * Constructs a new empty {@code Path2D} object.
     * It is assumed that the package sibling subclass that is
     * defaulting to this constructor will fill in all values.
     *
     * @since 1.6
     */
    /* private protected */
    Path2D() {
    }

    /**
     * Constructs a new {@code Path2D} object from the given
     * specified initial values.
     * This method is only intended for internal use and should
     * not be made public if the other constructors for this class
     * are ever exposed.
     *
     * @param rule the winding rule
     * @param initialTypes the size to make the initial array to
     *                     store the path segment types
     * @since 1.6
     */
    /* private protected */
    Path2D(int rule, int initialTypes) {
        setWindingRule(rule);
        this.pointTypes = new byte[initialTypes];
    }

    abstract float[] cloneCoordsFloat(AffineTransform at);
    abstract double[] cloneCoordsDouble(AffineTransform at);
    abstract void append(float x, float y);
    abstract void append(double x, double y);
    abstract Point2D getPoint(int coordindex);
    abstract void needRoom(boolean needMove, int newCoords);
    abstract int pointCrossings(double px, double py);
    abstract int rectCrossings(double rxmin, double rymin,
                               double rxmax, double rymax);

    /**
     * The {@code Float} class defines a geometric path with
     * coordinates stored in single precision floating point.
     *
     * @since 1.6
     */
    public static class Float extends Path2D implements Serializable {
        transient float floatCoords[];

        /**
         * Constructs a new empty single precision {@code Path2D} object
         * with a default winding rule of {@link #WIND_NON_ZERO}.
         *
         * @since 1.6
         */
        public Float() {
            this(WIND_NON_ZERO, INIT_SIZE);
        }

        /**
         * Constructs a new empty single precision {@code Path2D} object
         * with the specified winding rule to control operations that
         * require the interior of the path to be defined.
         *
         * @param rule the winding rule
         * @see #WIND_EVEN_ODD
         * @see #WIND_NON_ZERO
         * @since 1.6
         */
        public Float(int rule) {
            this(rule, INIT_SIZE);
        }

        /**
         * Constructs a new empty single precision {@code Path2D} object
         * with the specified winding rule and the specified initial
         * capacity to store path segments.
         * This number is an initial guess as to how many path segments
         * will be added to the path, but the storage is expanded as
         * needed to store whatever path segments are added.
         *
         * @param rule the winding rule
         * @param initialCapacity the estimate for the number of path segments
         *                        in the path
         * @see #WIND_EVEN_ODD
         * @see #WIND_NON_ZERO
         * @since 1.6
         */
        public Float(int rule, int initialCapacity) {
            super(rule, initialCapacity);
            floatCoords = new float[initialCapacity * 2];
        }

        /**
         * Constructs a new single precision {@code Path2D} object
         * from an arbitrary {@link Shape} object.
         * All of the initial geometry and the winding rule for this path are
         * taken from the specified {@code Shape} object.
         *
         * @param s the specified {@code Shape} object
         * @since 1.6
         */
        public Float(Shape s) {
            this(s, null);
        }

        /**
         * Constructs a new single precision {@code Path2D} object
         * from an arbitrary {@link Shape} object, transformed by an
         * {@link AffineTransform} object.
         * All of the initial geometry and the winding rule for this path are
         * taken from the specified {@code Shape} object and transformed
         * by the specified {@code AffineTransform} object.
         *
         * @param s the specified {@code Shape} object
         * @param at the specified {@code AffineTransform} object
         * @since 1.6
         */
        public Float(Shape s, AffineTransform at) {
            if (s instanceof Path2D) {
                Path2D p2d = (Path2D) s;
                setWindingRule(p2d.windingRule);
                this.numTypes = p2d.numTypes;
                this.pointTypes = Arrays.copyOf(p2d.pointTypes,
                                                p2d.pointTypes.length);
                this.numCoords = p2d.numCoords;
                this.floatCoords = p2d.cloneCoordsFloat(at);
            } else {
                PathIterator pi = s.getPathIterator(at);
                setWindingRule(pi.getWindingRule());
                this.pointTypes = new byte[INIT_SIZE];
                this.floatCoords = new float[INIT_SIZE * 2];
                append(pi, false);
            }
        }

        float[] cloneCoordsFloat(AffineTransform at) {
            float ret[];
            if (at == null) {
                ret = Arrays.copyOf(this.floatCoords, this.floatCoords.length);
            } else {
                ret = new float[floatCoords.length];
                at.transform(floatCoords, 0, ret, 0, numCoords / 2);
            }
            return ret;
        }

        double[] cloneCoordsDouble(AffineTransform at) {
            double ret[] = new double[floatCoords.length];
            if (at == null) {
                for (int i = 0; i < numCoords; i++) {
                    ret[i] = floatCoords[i];
                }
            } else {
                at.transform(floatCoords, 0, ret, 0, numCoords / 2);
            }
            return ret;
        }

        void append(float x, float y) {
            floatCoords[numCoords++] = x;
            floatCoords[numCoords++] = y;
        }

        void append(double x, double y) {
            floatCoords[numCoords++] = (float) x;
            floatCoords[numCoords++] = (float) y;
        }

        Point2D getPoint(int coordindex) {
            return new Point2D.Float(floatCoords[coordindex],
                                     floatCoords[coordindex+1]);
        }

        void needRoom(boolean needMove, int newCoords) {
            if (needMove && numTypes == 0) {
                throw new IllegalPathStateException("missing initial moveto "+
                                                    "in path definition");
            }
            int size = pointTypes.length;
            if (numTypes >= size) {
                int grow = size;
                if (grow > EXPAND_MAX) {
                    grow = EXPAND_MAX;
                }
                pointTypes = Arrays.copyOf(pointTypes, size+grow);
            }
            size = floatCoords.length;
            if (numCoords + newCoords > size) {
                int grow = size;
                if (grow > EXPAND_MAX * 2) {
                    grow = EXPAND_MAX * 2;
                }
                if (grow < newCoords) {
                    grow = newCoords;
                }
                floatCoords = Arrays.copyOf(floatCoords, size+grow);
            }
        }

        /**
         * {@inheritDoc}
         * @since 1.6
         */
        public final synchronized void moveTo(double x, double y) {
            if (numTypes > 0 && pointTypes[numTypes - 1] == SEG_MOVETO) {
                floatCoords[numCoords-2] = (float) x;
                floatCoords[numCoords-1] = (float) y;
            } else {
                needRoom(false, 2);
                pointTypes[numTypes++] = SEG_MOVETO;
                floatCoords[numCoords++] = (float) x;
                floatCoords[numCoords++] = (float) y;
            }
        }

        /**
         * Adds a point to the path by moving to the specified
         * coordinates specified in float precision.
         * <p>
         * This method provides a single precision variant of
         * the double precision {@code moveTo()} method on the
         * base {@code Path2D} class.
         *
         * @param x the specified X coordinate
         * @param y the specified Y coordinate
         * @see Path2D#moveTo
         * @since 1.6
         */
        public final synchronized void moveTo(float x, float y) {
            if (numTypes > 0 && pointTypes[numTypes - 1] == SEG_MOVETO) {
                floatCoords[numCoords-2] = x;
                floatCoords[numCoords-1] = y;
            } else {
                needRoom(false, 2);
                pointTypes[numTypes++] = SEG_MOVETO;
                floatCoords[numCoords++] = x;
                floatCoords[numCoords++] = y;
            }
        }

        /**
         * {@inheritDoc}
         * @since 1.6
         */
        public final synchronized void lineTo(double x, double y) {
            needRoom(true, 2);
            pointTypes[numTypes++] = SEG_LINETO;
            floatCoords[numCoords++] = (float) x;
            floatCoords[numCoords++] = (float) y;
        }

        /**
         * Adds a point to the path by drawing a straight line from the
         * current coordinates to the new specified coordinates
         * specified in float precision.
         * <p>
         * This method provides a single precision variant of
         * the double precision {@code lineTo()} method on the
         * base {@code Path2D} class.
         *
         * @param x the specified X coordinate
         * @param y the specified Y coordinate
         * @see Path2D#lineTo
         * @since 1.6
         */
        public final synchronized void lineTo(float x, float y) {
            needRoom(true, 2);
            pointTypes[numTypes++] = SEG_LINETO;
            floatCoords[numCoords++] = x;
            floatCoords[numCoords++] = y;
        }

        /**
         * {@inheritDoc}
         * @since 1.6
         */
        public final synchronized void quadTo(double x1, double y1,
                                              double x2, double y2)
        {
            needRoom(true, 4);
            pointTypes[numTypes++] = SEG_QUADTO;
            floatCoords[numCoords++] = (float) x1;
            floatCoords[numCoords++] = (float) y1;
            floatCoords[numCoords++] = (float) x2;
            floatCoords[numCoords++] = (float) y2;
        }

        /**
         * Adds a curved segment, defined by two new points, to the path by
         * drawing a Quadratic curve that intersects both the current
         * coordinates and the specified coordinates {@code (x2,y2)},
         * using the specified point {@code (x1,y1)} as a quadratic
         * parametric control point.
         * All coordinates are specified in float precision.
         * <p>
         * This method provides a single precision variant of
         * the double precision {@code quadTo()} method on the
         * base {@code Path2D} class.
         *
         * @param x1 the X coordinate of the quadratic control point
         * @param y1 the Y coordinate of the quadratic control point
         * @param x2 the X coordinate of the final end point
         * @param y2 the Y coordinate of the final end point
         * @see Path2D#quadTo
         * @since 1.6
         */
        public final synchronized void quadTo(float x1, float y1,
                                              float x2, float y2)
        {
            needRoom(true, 4);
            pointTypes[numTypes++] = SEG_QUADTO;
            floatCoords[numCoords++] = x1;
            floatCoords[numCoords++] = y1;
            floatCoords[numCoords++] = x2;
            floatCoords[numCoords++] = y2;
        }

        /**
         * {@inheritDoc}
         * @since 1.6
         */
        public final synchronized void curveTo(double x1, double y1,
                                               double x2, double y2,
                                               double x3, double y3)
        {
            needRoom(true, 6);
            pointTypes[numTypes++] = SEG_CUBICTO;
            floatCoords[numCoords++] = (float) x1;
            floatCoords[numCoords++] = (float) y1;
            floatCoords[numCoords++] = (float) x2;
            floatCoords[numCoords++] = (float) y2;
            floatCoords[numCoords++] = (float) x3;
            floatCoords[numCoords++] = (float) y3;
        }

        /**
         * Adds a curved segment, defined by three new points, to the path by
         * drawing a Bézier curve that intersects both the current
         * coordinates and the specified coordinates {@code (x3,y3)},
         * using the specified points {@code (x1,y1)} and {@code (x2,y2)} as
         * Bézier control points.
         * All coordinates are specified in float precision.
         * <p>
         * This method provides a single precision variant of
         * the double precision {@code curveTo()} method on the
         * base {@code Path2D} class.
         *
         * @param x1 the X coordinate of the first Bézier control point
         * @param y1 the Y coordinate of the first Bézier control point
         * @param x2 the X coordinate of the second Bézier control point
         * @param y2 the Y coordinate of the second Bézier control point
         * @param x3 the X coordinate of the final end point
         * @param y3 the Y coordinate of the final end point
         * @see Path2D#curveTo
         * @since 1.6
         */
        public final synchronized void curveTo(float x1, float y1,
                                               float x2, float y2,
                                               float x3, float y3)
        {
            needRoom(true, 6);
            pointTypes[numTypes++] = SEG_CUBICTO;
            floatCoords[numCoords++] = x1;
            floatCoords[numCoords++] = y1;
            floatCoords[numCoords++] = x2;
            floatCoords[numCoords++] = y2;
            floatCoords[numCoords++] = x3;
            floatCoords[numCoords++] = y3;
        }

        int pointCrossings(double px, double py) {
            double movx, movy, curx, cury, endx, endy;
            float coords[] = floatCoords;
            curx = movx = coords[0];
            cury = movy = coords[1];
            int crossings = 0;
            int ci = 2;
            for (int i = 1; i < numTypes; i++) {
                switch (pointTypes[i]) {
                case PathIterator.SEG_MOVETO:
                    if (cury != movy) {
                        crossings +=
                            Curve.pointCrossingsForLine(px, py,
                                                        curx, cury,
                                                        movx, movy);
                    }
                    movx = curx = coords[ci++];
                    movy = cury = coords[ci++];
                    break;
                case PathIterator.SEG_LINETO:
                    crossings +=
                        Curve.pointCrossingsForLine(px, py,
                                                    curx, cury,
                                                    endx = coords[ci++],
                                                    endy = coords[ci++]);
                    curx = endx;
                    cury = endy;
                    break;
                case PathIterator.SEG_QUADTO:
                    crossings +=
                        Curve.pointCrossingsForQuad(px, py,
                                                    curx, cury,
                                                    coords[ci++],
                                                    coords[ci++],
                                                    endx = coords[ci++],
                                                    endy = coords[ci++],
                                                    0);
                    curx = endx;
                    cury = endy;
                    break;
            case PathIterator.SEG_CUBICTO:
                    crossings +=
                        Curve.pointCrossingsForCubic(px, py,
                                                     curx, cury,
                                                     coords[ci++],
                                                     coords[ci++],
                                                     coords[ci++],
                                                     coords[ci++],
                                                     endx = coords[ci++],
                                                     endy = coords[ci++],
                                                     0);
                    curx = endx;
                    cury = endy;
                    break;
                case PathIterator.SEG_CLOSE:
                    if (cury != movy) {
                        crossings +=
                            Curve.pointCrossingsForLine(px, py,
                                                        curx, cury,
                                                        movx, movy);
                    }
                    curx = movx;
                    cury = movy;
                    break;
                }
            }
            if (cury != movy) {
                crossings +=
                    Curve.pointCrossingsForLine(px, py,
                                                curx, cury,
                                                movx, movy);
            }
            return crossings;
        }

        int rectCrossings(double rxmin, double rymin,
                          double rxmax, double rymax)
        {
            float coords[] = floatCoords;
            double curx, cury, movx, movy, endx, endy;
            curx = movx = coords[0];
            cury = movy = coords[1];
            int crossings = 0;
            int ci = 2;
            for (int i = 1;
                 crossings != Curve.RECT_INTERSECTS && i < numTypes;
                 i++)
            {
                switch (pointTypes[i]) {
                case PathIterator.SEG_MOVETO:
                    if (curx != movx || cury != movy) {
                        crossings =
                            Curve.rectCrossingsForLine(crossings,
                                                       rxmin, rymin,
                                                       rxmax, rymax,
                                                       curx, cury,
                                                       movx, movy);
                    }
                    // Count should always be a multiple of 2 here.
                    // assert((crossings & 1) != 0);
                    movx = curx = coords[ci++];
                    movy = cury = coords[ci++];
                    break;
                case PathIterator.SEG_LINETO:
                    crossings =
                        Curve.rectCrossingsForLine(crossings,
                                                   rxmin, rymin,
                                                   rxmax, rymax,
                                                   curx, cury,
                                                   endx = coords[ci++],
                                                   endy = coords[ci++]);
                    curx = endx;
                    cury = endy;
                    break;
                case PathIterator.SEG_QUADTO:
                    crossings =
                        Curve.rectCrossingsForQuad(crossings,
                                                   rxmin, rymin,
                                                   rxmax, rymax,
                                                   curx, cury,
                                                   coords[ci++],
                                                   coords[ci++],
                                                   endx = coords[ci++],
                                                   endy = coords[ci++],
                                                   0);
                    curx = endx;
                    cury = endy;
                    break;
                case PathIterator.SEG_CUBICTO:
                    crossings =
                        Curve.rectCrossingsForCubic(crossings,
                                                    rxmin, rymin,
                                                    rxmax, rymax,
                                                    curx, cury,
                                                    coords[ci++],
                                                    coords[ci++],
                                                    coords[ci++],
                                                    coords[ci++],
                                                    endx = coords[ci++],
                                                    endy = coords[ci++],
                                                    0);
                    curx = endx;
                    cury = endy;
                    break;
                case PathIterator.SEG_CLOSE:
                    if (curx != movx || cury != movy) {
                        crossings =
                            Curve.rectCrossingsForLine(crossings,
                                                       rxmin, rymin,
                                                       rxmax, rymax,
                                                       curx, cury,
                                                       movx, movy);
                    }
                    curx = movx;
                    cury = movy;
                    // Count should always be a multiple of 2 here.
                    // assert((crossings & 1) != 0);
                    break;
                }
            }
            if (crossings != Curve.RECT_INTERSECTS &&
                (curx != movx || cury != movy))
            {
                crossings =
                    Curve.rectCrossingsForLine(crossings,
                                               rxmin, rymin,
                                               rxmax, rymax,
                                               curx, cury,
                                               movx, movy);
            }
            // Count should always be a multiple of 2 here.
            // assert((crossings & 1) != 0);
            return crossings;
        }

        /**
         * {@inheritDoc}
         * @since 1.6
         */
        public final void append(PathIterator pi, boolean connect) {
            float coords[] = new float[6];
            while (!pi.isDone()) {
                switch (pi.currentSegment(coords)) {
                case SEG_MOVETO:
                    if (!connect || numTypes < 1 || numCoords < 1) {
                        moveTo(coords[0], coords[1]);
                        break;
                    }
                    if (pointTypes[numTypes - 1] != SEG_CLOSE &&
                        floatCoords[numCoords-2] == coords[0] &&
                        floatCoords[numCoords-1] == coords[1])
                    {
                        // Collapse out initial moveto/lineto
                        break;
                    }
                    lineTo(coords[0], coords[1]);
                    break;
                case SEG_LINETO:
                    lineTo(coords[0], coords[1]);
                    break;
                case SEG_QUADTO:
                    quadTo(coords[0], coords[1],
                           coords[2], coords[3]);
                    break;
                case SEG_CUBICTO:
                    curveTo(coords[0], coords[1],
                            coords[2], coords[3],
                            coords[4], coords[5]);
                    break;
                case SEG_CLOSE:
                    closePath();
                    break;
                }
                pi.next();
                connect = false;
            }
        }

        /**
         * {@inheritDoc}
         * @since 1.6
         */
        public final void transform(AffineTransform at) {
            at.transform(floatCoords, 0, floatCoords, 0, numCoords / 2);
        }

        /**
         * {@inheritDoc}
         * @since 1.6
         */
        public final synchronized Rectangle2D getBounds2D() {
            float x1, y1, x2, y2;
            int i = numCoords;
            if (i > 0) {
                y1 = y2 = floatCoords[--i];
                x1 = x2 = floatCoords[--i];
                while (i > 0) {
                    float y = floatCoords[--i];
                    float x = floatCoords[--i];
                    if (x < x1) x1 = x;
                    if (y < y1) y1 = y;
                    if (x > x2) x2 = x;
                    if (y > y2) y2 = y;
                }
            } else {
                x1 = y1 = x2 = y2 = 0.0f;
            }
            return new Rectangle2D.Float(x1, y1, x2 - x1, y2 - y1);
        }

        /**
         * {@inheritDoc}
         * <p>
         * The iterator for this class is not multi-threaded safe,
         * which means that the {@code Path2D} class does not
         * guarantee that modifications to the geometry of this
         * {@code Path2D} object do not affect any iterations of
         * that geometry that are already in process.
         *
         * @since 1.6
         */
        public final PathIterator getPathIterator(AffineTransform at) {
            if (at == null) {
                return new CopyIterator(this);
            } else {
                return new TxIterator(this, at);
            }
        }

        /**
         * Creates a new object of the same class as this object.
         *
         * @return     a clone of this instance.
         * @exception  OutOfMemoryError    if there is not enough memory.
         * @see        java.lang.Cloneable
         * @since      1.6
         */
        public final Object clone() {
            // Note: It would be nice to have this return Path2D
            // but one of our subclasses (GeneralPath) needs to
            // offer "public Object clone()" for backwards
            // compatibility so we cannot restrict it further.
            // REMIND: Can we do both somehow?
            if (this instanceof GeneralPath) {
                return new GeneralPath(this);
            } else {
                return new Path2D.Float(this);
            }
        }

        /*
         * JDK 1.6 serialVersionUID
         */
        private static final long serialVersionUID = 6990832515060788886L;

        /**
         * Writes the default serializable fields to the
         * {@code ObjectOutputStream} followed by an explicit
         * serialization of the path segments stored in this
         * path.
         *
         * @serialData
         * <a name="Path2DSerialData">
         * <ol>
         * <li>The default serializable fields.
         * There are no default serializable fields as of 1.6.
         * <li>followed by
         * a byte indicating the storage type of the original object
         * as a hint (SERIAL_STORAGE_FLT_ARRAY)
         * <li>followed by
         * an integer indicating the number of path segments to follow (NP)
         * or -1 to indicate an unknown number of path segments follows
         * <li>followed by
         * an integer indicating the total number of coordinates to follow (NC)
         * or -1 to indicate an unknown number of coordinates follows
         * (NC should always be even since coordinates always appear in pairs
         *  representing an x,y pair)
         * <li>followed by
         * a byte indicating the winding rule
         * ({@link #WIND_EVEN_ODD WIND_EVEN_ODD} or
         *  {@link #WIND_NON_ZERO WIND_NON_ZERO})
         * <li>followed by
         * {@code NP} (or unlimited if {@code NP < 0}) sets of values consisting of
         * a single byte indicating a path segment type
         * followed by one or more pairs of float or double
         * values representing the coordinates of the path segment
         * <li>followed by
         * a byte indicating the end of the path (SERIAL_PATH_END).
         * </ol>
         * <p>
         * The following byte value constants are used in the serialized form
         * of {@code Path2D} objects:
         * <table>
         * <tr>
         * <th>Constant Name
         * <th>Byte Value
         * <th>Followed by
         * <th>Description
         * </tr>
         * <tr>
         * <td>{@code SERIAL_STORAGE_FLT_ARRAY}
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