/* -*- mode: java; c-basic-offset: 2; indent-tabs-mode: nil -*- */ /* * Copyright 2006 Sun Microsystems, Inc. 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. Sun designates this * particular file as subject to the "Classpath" exception as provided * by Sun 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 Sun Microsystems, Inc., 4150 Network Circle, Santa Clara, * CA 95054 USA or visit www.sun.com if you need additional information or * have any questions. */ package processing.opengl; import processing.core.PMatrix2D; /** * The {@code LinePath} class allows to represent polygonal paths, * potentially composed by several disjoint polygonal segments. * It can be iterated by the {@link PathIterator} class including all * of its segment types and winding rules * */ public class LinePath { /** * The winding rule constant for specifying an even-odd rule * for determining the interior of a path. * The even-odd rule specifies that a point lies inside the * path if a ray drawn in any direction from that point to * infinity is crossed by path segments an odd number of times. */ public static final int WIND_EVEN_ODD = 0; /** * The winding rule constant for specifying a non-zero rule * for determining the interior of a path. * The non-zero rule specifies that a point lies inside the * path if a ray drawn in any direction from that point to * infinity is crossed by path segments a different number * of times in the counter-clockwise direction than the * clockwise direction. */ public static final int WIND_NON_ZERO = 1; /** * Starts segment at a given position. */ public static final byte SEG_MOVETO = 0; /** * Extends segment by adding a line to a given position. */ public static final byte SEG_LINETO = 1; /** * Closes segment at current position. */ public static final byte SEG_CLOSE = 2; /** * Joins path segments by extending their outside edges until they meet. */ public final static int JOIN_MITER = 0; /** * Joins path segments by rounding off the corner at a radius of half the line * width. */ public final static int JOIN_ROUND = 1; /** * Joins path segments by connecting the outer corners of their wide outlines * with a straight segment. */ public final static int JOIN_BEVEL = 2; /** * Ends unclosed subpaths and dash segments with no added decoration. */ public final static int CAP_BUTT = 0; /** * Ends unclosed subpaths and dash segments with a round decoration that has a * radius equal to half of the width of the pen. */ public final static int CAP_ROUND = 1; /** * Ends unclosed subpaths and dash segments with a square projection that * extends beyond the end of the segment to a distance equal to half of the * line width. */ public final static int CAP_SQUARE = 2; private static PMatrix2D identity = new PMatrix2D(); private static float defaultMiterlimit = 10.0f; static final int INIT_SIZE = 20; static final int EXPAND_MAX = 500; protected byte[] pointTypes; protected float[] floatCoords; protected int[] pointColors; protected int numTypes; protected int numCoords; protected int windingRule; /** * Constructs a new empty single precision {@code LinePath} object with a * default winding rule of {@link #WIND_NON_ZERO}. */ public LinePath() { this(WIND_NON_ZERO, INIT_SIZE); } /** * Constructs a new empty single precision {@code LinePath} 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 */ public LinePath(int rule) { this(rule, INIT_SIZE); } /** * Constructs a new {@code LinePath} 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 initialCapacity * the size to make the initial array to store the path segment types */ public LinePath(int rule, int initialCapacity) { setWindingRule(rule); this.pointTypes = new byte[initialCapacity]; floatCoords = new float[initialCapacity * 2]; pointColors = new int[initialCapacity]; } void needRoom(boolean needMove, int newPoints) { if (needMove && numTypes == 0) { throw new RuntimeException("missing initial moveto " + "in path definition"); } int size = pointTypes.length; if (numTypes >= size) { int grow = size; if (grow > EXPAND_MAX) { grow = EXPAND_MAX; } pointTypes = copyOf(pointTypes, size + grow); } size = floatCoords.length; if (numCoords + newPoints * 2 > size) { int grow = size; if (grow > EXPAND_MAX * 2) { grow = EXPAND_MAX * 2; } if (grow < newPoints * 2) { grow = newPoints * 2; } floatCoords = copyOf(floatCoords, size + grow); } size = pointColors.length; if (numCoords/2 + newPoints > size) { int grow = size; if (grow > EXPAND_MAX) { grow = EXPAND_MAX; } if (grow < newPoints) { grow = newPoints; } pointColors = copyOf(pointColors, size + grow); } } /** * 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 LinePath} class. * * @param x * the specified X coordinate * @param y * the specified Y coordinate * @see LinePath#moveTo */ public final void moveTo(float x, float y, int c) { if (numTypes > 0 && pointTypes[numTypes - 1] == SEG_MOVETO) { floatCoords[numCoords - 2] = x; floatCoords[numCoords - 1] = y; pointColors[numCoords/2-1] = c; } else { needRoom(false, 1); pointTypes[numTypes++] = SEG_MOVETO; floatCoords[numCoords++] = x; floatCoords[numCoords++] = y; pointColors[numCoords/2-1] = c; } } /** * 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 LinePath} class. * * @param x * the specified X coordinate * @param y * the specified Y coordinate * @see LinePath#lineTo */ public final void lineTo(float x, float y, int c) { needRoom(true, 1); pointTypes[numTypes++] = SEG_LINETO; floatCoords[numCoords++] = x; floatCoords[numCoords++] = y; pointColors[numCoords/2-1] = c; } /** * The iterator for this class is not multi-threaded safe, which means that * the {@code LinePath} class does not guarantee that modifications to the * geometry of this {@code LinePath} object do not affect any iterations of that * geometry that are already in process. */ public PathIterator getPathIterator() { return new PathIterator(this); } /** * 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. */ public final void closePath() { if (numTypes == 0 || pointTypes[numTypes - 1] != SEG_CLOSE) { needRoom(false, 0); pointTypes[numTypes++] = SEG_CLOSE; } } /** * Returns the fill style winding rule. * * @return an integer representing the current winding rule. * @see #WIND_EVEN_ODD * @see #WIND_NON_ZERO * @see #setWindingRule */ public final 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 */ 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; } /** * 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. */ public final void reset() { numTypes = numCoords = 0; } static public class PathIterator { float floatCoords[]; int typeIdx; int pointIdx; int colorIdx; LinePath path; static final int curvecoords[] = { 2, 2, 0 }; PathIterator(LinePath p2df) { this.path = p2df; this.floatCoords = p2df.floatCoords; pointIdx = 0; colorIdx = 0; } public int currentSegment(float[] coords) { int type = path.pointTypes[typeIdx]; int numCoords = curvecoords[type]; if (numCoords > 0) { System.arraycopy(floatCoords, pointIdx, coords, 0, numCoords); int color = path.pointColors[colorIdx]; coords[numCoords + 0] = (color >> 24) & 0xFF; coords[numCoords + 1] = (color >> 16) & 0xFF; coords[numCoords + 2] = (color >> 8) & 0xFF; coords[numCoords + 3] = (color >> 0) & 0xFF; } 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]; } int color = path.pointColors[colorIdx]; coords[numCoords + 0] = (color >> 24) & 0xFF; coords[numCoords + 1] = (color >> 16) & 0xFF; coords[numCoords + 2] = (color >> 8) & 0xFF; coords[numCoords + 3] = (color >> 0) & 0xFF; } return type; } public int getWindingRule() { return path.getWindingRule(); } public boolean isDone() { return (typeIdx >= path.numTypes); } public void next() { int type = path.pointTypes[typeIdx++]; if (0 < curvecoords[type]) { pointIdx += curvecoords[type]; colorIdx++; } } } ///////////////////////////////////////////////////////////////////////////// // // Stroked path methods static public LinePath createStrokedPath(LinePath src, float weight, int caps, int join) { return createStrokedPath(src, weight, caps, join, defaultMiterlimit, null); } static public LinePath createStrokedPath(LinePath src, float weight, int caps, int join, float miterlimit) { return createStrokedPath(src, weight, caps, join, miterlimit, null); } /** * Constructs a solid <code>LinePath</code> with the specified attributes. * * @param src * the original path to be stroked * @param weight * the weight of the stroked path * @param caps * the decoration of the ends of the segments in the path * @param join * the decoration applied where path segments meet * @param miterlimit * @param transform * */ static public LinePath createStrokedPath(LinePath src, float weight, int caps, int join, float miterlimit, PMatrix2D transform) { final LinePath dest = new LinePath(); strokeTo(src, weight, caps, join, miterlimit, transform, new LineStroker() { @Override public void moveTo(int x0, int y0, int c0) { dest.moveTo(S15_16ToFloat(x0), S15_16ToFloat(y0), c0); } @Override public void lineJoin() { } @Override public void lineTo(int x1, int y1, int c1) { dest.lineTo(S15_16ToFloat(x1), S15_16ToFloat(y1), c1); } @Override public void close() { dest.closePath(); } @Override public void end() { } }); return dest; } private static void strokeTo(LinePath src, float width, int caps, int join, float miterlimit, PMatrix2D transform, LineStroker lsink) { lsink = new LineStroker(lsink, FloatToS15_16(width), caps, join, FloatToS15_16(miterlimit), transform == null ? identity : transform); PathIterator pi = src.getPathIterator(); pathTo(pi, lsink); } private static void pathTo(PathIterator pi, LineStroker lsink) { float coords[] = new float[6]; while (!pi.isDone()) { int color; switch (pi.currentSegment(coords)) { case SEG_MOVETO: color = ((int)coords[2]<<24) | ((int)coords[3]<<16) | ((int)coords[4]<< 8) | (int)coords[5]; lsink.moveTo(FloatToS15_16(coords[0]), FloatToS15_16(coords[1]), color); break; case SEG_LINETO: color = ((int)coords[2]<<24) | ((int)coords[3]<<16) | ((int)coords[4]<< 8) | (int)coords[5]; lsink.lineJoin(); lsink.lineTo(FloatToS15_16(coords[0]), FloatToS15_16(coords[1]), color); break; case SEG_CLOSE: lsink.lineJoin(); lsink.close(); break; default: throw new InternalError("unknown flattened segment type"); } pi.next(); } lsink.end(); } ///////////////////////////////////////////////////////////////////////////// // // Utility methods public static float[] copyOf(float[] source, int length) { float[] target = new float[length]; for (int i = 0; i < target.length; i++) { if (i > source.length - 1) target[i] = 0f; else target[i] = source[i]; } return target; } public static byte[] copyOf(byte[] source, int length) { byte[] target = new byte[length]; for (int i = 0; i < target.length; i++) { if (i > source.length - 1) target[i] = 0; else target[i] = source[i]; } return target; } public static int[] copyOf(int[] source, int length) { int[] target = new int[length]; for (int i = 0; i < target.length; i++) { if (i > source.length - 1) target[i] = 0; else target[i] = source[i]; } return target; } // From Ken Turkowski, _Fixed-Point Square Root_, In Graphics Gems V public static int isqrt(int x) { int fracbits = 16; int root = 0; int remHi = 0; int remLo = x; int count = 15 + fracbits / 2; do { remHi = (remHi << 2) | (remLo >>> 30); // N.B. - unsigned shift R remLo <<= 2; root <<= 1; int testdiv = (root << 1) + 1; if (remHi >= testdiv) { remHi -= testdiv; root++; } } while (count-- != 0); return root; } public static long lsqrt(long x) { int fracbits = 16; long root = 0; long remHi = 0; long remLo = x; int count = 31 + fracbits / 2; do { remHi = (remHi << 2) | (remLo >>> 62); // N.B. - unsigned shift R remLo <<= 2; root <<= 1; long testDiv = (root << 1) + 1; if (remHi >= testDiv) { remHi -= testDiv; root++; } } while (count-- != 0); return root; } public static double hypot(double x, double y) { return Math.sqrt(x * x + y * y); } public static int hypot(int x, int y) { return (int) ((lsqrt((long) x * x + (long) y * y) + 128) >> 8); } public static long hypot(long x, long y) { return (lsqrt(x * x + y * y) + 128) >> 8; } static int FloatToS15_16(float flt) { flt = flt * 65536f + 0.5f; if (flt <= -(65536f * 65536f)) { return Integer.MIN_VALUE; } else if (flt >= (65536f * 65536f)) { return Integer.MAX_VALUE; } else { return (int) Math.floor(flt); } } static float S15_16ToFloat(int fix) { return (fix / 65536f); } }