-/*******************************************************************************\r
- * Copyright (c) 2007, 2010 Association for Decentralized Information Management\r
- * in Industry THTH ry.\r
- * All rights reserved. This program and the accompanying materials\r
- * are made available under the terms of the Eclipse Public License v1.0\r
- * which accompanies this distribution, and is available at\r
- * http://www.eclipse.org/legal/epl-v10.html\r
- *\r
- * Contributors:\r
- * VTT Technical Research Centre of Finland - initial API and implementation\r
- *******************************************************************************/\r
-package org.simantics.g2d.utils;\r
-\r
-import java.awt.Shape;\r
-import java.awt.geom.CubicCurve2D;\r
-import java.awt.geom.Line2D;\r
-import java.awt.geom.Path2D;\r
-import java.awt.geom.PathIterator;\r
-import java.awt.geom.Point2D;\r
-import java.awt.geom.QuadCurve2D;\r
-import java.util.ArrayList;\r
-import java.util.Collection;\r
-import java.util.Iterator;\r
-import java.util.List;\r
-\r
-/**\r
- * Path Utils.\r
- * <p>\r
- * A line segment (linear, quadratic or cubic bezier) is described\r
- * with a double array. The length of the array describes its degree (4,6,8).\r
- * The first 2 elements define start point and last 2 the end point.\r
- * Points in the middle are bezier control points.\r
- * \r
- * @See {@link GeometryUtils} for more geometry related utilities\r
- * @author Toni Kalajainen\r
- */\r
-public class PathUtils2 {\r
-\r
- /**\r
- * Get tangent of an bezier\r
- * @param lineSegment bezier of n degrees\r
- * @param degree 1..3 \r
- * @param t 0..1\r
- * @return unit vector\r
- */\r
- public static Point2D getLineTangent(Shape line, double t, Point2D pt)\r
- {\r
- double x=0, y=0;\r
- if (line instanceof Line2D)\r
- {\r
- Line2D l = (Line2D) line;\r
- x = l.getX1() - l.getX2();\r
- y = l.getY1() - l.getY2();\r
- } else if (line instanceof QuadCurve2D) {\r
- QuadCurve2D l = (QuadCurve2D) line;\r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getCtrlX();\r
- double p1y = l.getCtrlY();\r
- double p2x = l.getX2();\r
- double p2y = l.getY2(); \r
- x = 2*t*(p0x - 2*p1x + p2x) + 2*(-p0x + p1x);\r
- y = 2*t*(p0y - 2*p1y + p2y) + 2*(-p0y + p1y);\r
- \r
- } else if (line instanceof CubicCurve2D) {\r
- CubicCurve2D l = (CubicCurve2D) line;\r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getCtrlX1();\r
- double p1y = l.getCtrlY1();\r
- double p2x = l.getCtrlX2();\r
- double p2y = l.getCtrlY2();\r
- double p3x = l.getX2();\r
- double p3y = l.getY2(); \r
- x = 3*(1-t)*(1-t)*(p1x-p2x) + 3*(p2x-p1x)*2*t*(1-t) + 3*(p3x-p0x)*t*t;\r
- y = 3*(1-t)*(1-t)*(p1y-p0y) + 3*(p2y-p1y)*2*t*(1-t) + 3*(p3y-p2y)*t*t;\r
- } else throw new IllegalArgumentException();\r
- \r
- return new Point2D.Double(x, y);\r
- }\r
- \r
- /**\r
- * \r
- * @param lineSegment\r
- * @param t 0..1\r
- * @return\r
- */\r
- public static Point2D getLinePos(Shape line, double t, Point2D pt)\r
- { \r
- assert(line!=null);\r
- double x=0, y=0;\r
- if (pt==null) pt = new Point2D.Double();\r
- \r
- if (line instanceof Line2D) {\r
- Line2D l = (Line2D) line;\r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getX2();\r
- double p1y = l.getY2();\r
- \r
- x = p0x*(1-t) + t*p1x;\r
- y = p0y*(1-t) + t*p1y;\r
- } else \r
- if (line instanceof QuadCurve2D) {\r
- QuadCurve2D l = (QuadCurve2D) line;\r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getCtrlX();\r
- double p1y = l.getCtrlY();\r
- double p2x = l.getX2();\r
- double p2y = l.getY2(); \r
- \r
- double c2x = p0x-2*p1x+p2x;\r
- double c2y = p0y-2*p1y+p2y;\r
- \r
- double c1x = -2*p0x+2*p1x;\r
- double c1y = -2*p0y+2*p1y;\r
- \r
- double c0x = p0x;\r
- double c0y = p0y;\r
- \r
- x = t*t*c2x+t*c1x+c0x;\r
- y = t*t*c2y+t*c1y+c0y;\r
- } else if (line instanceof CubicCurve2D) {\r
- CubicCurve2D l = (CubicCurve2D) line;\r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getCtrlX1();\r
- double p1y = l.getCtrlY1();\r
- double p2x = l.getCtrlX2();\r
- double p2y = l.getCtrlY2();\r
- double p3x = l.getX2();\r
- double p3y = l.getY2(); \r
-\r
- x = (1-t)*(1-t)*(1-t)*p0x + 3*t*(1-t)*(1-t)*p1x + 3*t*t*(1-t)*p2x + t*t*t*p3x;\r
- y = (1-t)*(1-t)*(1-t)*p0y + 3*t*(1-t)*(1-t)*p1y + 3*t*t*(1-t)*p2y + t*t*t*p3y;\r
- } else throw new IllegalArgumentException();\r
- pt.setLocation(x, y);\r
- \r
- return pt;\r
- }\r
- \r
- public static double getLineLength(Shape line)\r
- {\r
- if (line instanceof Line2D) {\r
- Line2D l = (Line2D) line;\r
- double dx = l.getX2() - l.getX1();\r
- double dy = l.getY2() - l.getY1();\r
- return Math.sqrt(dx*dx+dy*dy);\r
- }\r
- \r
- // Quick'n'dirty approximation \r
- // TODO Replace with accurate value\r
- double result = 0;\r
- Point2D prevPos = getLinePos(line, 0.0, null); \r
- for (int i=0; i<10; i++)\r
- {\r
- double t = (double)(i+1)/10;\r
- Point2D pos = getLinePos(line, t, null);\r
- result += pos.distance(prevPos);\r
- prevPos.setLocation(pos);\r
- }\r
- return result;\r
- }\r
- \r
- public static int getLineDegree(Shape line)\r
- {\r
- if (line instanceof Line2D) return 1;\r
- if (line instanceof QuadCurve2D) return 2;\r
- if (line instanceof CubicCurve2D) return 3;\r
- throw new IllegalArgumentException(line+" is not a shape");\r
- }\r
- \r
- \r
- public static double[] toArray(Shape line)\r
- {\r
- if (line instanceof Line2D) {\r
- Line2D l = (Line2D) line;\r
- return new double[] {l.getX1(), l.getY1(), l.getX2(), l.getY2()};\r
- }\r
- if (line instanceof QuadCurve2D) {\r
- QuadCurve2D l = (QuadCurve2D) line;\r
- return new double[] {l.getX1(), l.getY1(), l.getCtrlX(), l.getCtrlY(), l.getX2(), l.getY2()};\r
- }\r
- if (line instanceof CubicCurve2D) {\r
- CubicCurve2D l = (CubicCurve2D) line;\r
- return new double[] {l.getX1(), l.getY1(), l.getCtrlX1(), l.getCtrlY1(), l.getCtrlX2(), l.getCtrlY2(), l.getX2(), l.getY2()}; \r
- }\r
- throw new IllegalArgumentException(line+" is not a shape"); \r
- }\r
- \r
- public static Shape toShape(double dada[])\r
- {\r
- if (dada.length==4) \r
- return new Line2D.Double(dada[0], dada[1], dada[2], dada[3]);\r
- if (dada.length==6) \r
- return new QuadCurve2D.Double(dada[0], dada[1], dada[2], dada[3], dada[4], dada[5]);\r
- if (dada.length==8) \r
- return new CubicCurve2D.Double(dada[0], dada[1], dada[2], dada[3], dada[4], dada[5], dada[6], dada[7]);\r
- throw new IllegalArgumentException();\r
- }\r
-\r
- public static void interpolatePaths(List<Shape> l1, List<Shape> l2, double t, Collection<Shape> result)\r
- {\r
- if (l1.size()>l2.size()) {\r
- List<Shape> l_ = l1;\r
- l1 = l2;\r
- l2 = l_;\r
- t = 1-t;\r
- }\r
- \r
- int div = l2.size() / l1.size();\r
- int mod = l2.size() % l1.size();\r
- \r
- int rightIndex = 0;\r
- for (int i=0; i<l1.size(); i++) {\r
- int rightCounterParts = i<l1.size()-1 ? (i<mod?div+1:div) : div; \r
- int leftIndex = i;\r
- Shape leftShape = l1.get(leftIndex); \r
- for (int j=0; j<rightCounterParts; j++)\r
- {\r
- Shape rightShape = l2.get(rightIndex++);\r
- double inv = 1/(double)rightCounterParts;\r
- double t0 = j*inv;\r
- double t1 = (j+1)*inv;\r
- Shape leftShapePart = subdiv(leftShape, t0, t1); \r
- Shape intpShape = interpolateLine(leftShapePart, rightShape, t);\r
- result.add( intpShape );\r
- }\r
- }\r
- }\r
- \r
- /**\r
- * Interpolate two paths\r
- * @param path1\r
- * @param path2\r
- * @param t phase 0..1, 0==path1, 1==path2\r
- * @return\r
- */\r
- public static Path2D interpolatePaths(PathIterator path1, PathIterator path2, double t)\r
- {\r
- ArrayList<Shape> l1 = new ArrayList<Shape>();\r
- ArrayList<Shape> l2 = new ArrayList<Shape>(); \r
- toShapes(path1, l1);\r
- toShapes(path2, l2);\r
- ArrayList<Shape> result = new ArrayList<Shape>();\r
- interpolatePaths(l1, l2, t, result);\r
- Path2D p = new Path2D.Double();\r
- appedToPath(p, result);\r
- return p;\r
- }\r
-\r
- public static Path2D interpolatePaths(Path2D path1, Path2D path2, double t)\r
- {\r
- return interpolatePaths(path1.getPathIterator(null), path2.getPathIterator(null), t);\r
- }\r
- \r
- public static Shape interpolateLine(Shape l1, Shape l2, double t)\r
- {\r
- assert(t>=0 && t<=1);\r
- if (t==0) return l1;\r
- if (t==1) return l2;\r
- \r
- double[] a1 = toArray(l1);\r
- double[] a2 = toArray(l2);\r
- double[] res = PathUtils.interpolateLineSegment(a1, a2, t);\r
- return toShape(res);\r
- }\r
- \r
- public static void toShapes(PathIterator pi, Collection<Shape> result)\r
- {\r
- Iterator<Shape> i = toShapeIterator(pi);\r
- while (i.hasNext()) {\r
- Shape segment = i.next();\r
- result.add(segment);\r
- }\r
- }\r
- \r
- /**\r
- * Returns an iterator that splits path into line shapes\r
- * @param pi path iterator\r
- * @return line segment iterator\r
- */\r
- public static Iterator<Shape> toShapeIterator(final PathIterator pi)\r
- {\r
- return new PathIteratorToShapeIterator(pi);\r
- }\r
- \r
- private static class PathIteratorToShapeIterator implements Iterator<Shape>\r
- {\r
- final PathIterator pi;\r
- double lineTo[] = new double[6];\r
- double startPos[] = new double[2];\r
- double from[] = new double[2];\r
- int degree = 0;\r
- PathIteratorToShapeIterator(PathIterator pi) {\r
- this.pi = pi;\r
- while(!pi.isDone()) {\r
- int type = pi.currentSegment(lineTo);\r
- pi.next();\r
- if (type == PathIterator.SEG_MOVETO) {\r
- startPos[0] = from[0] = lineTo[0];\r
- startPos[1] = from[1] = lineTo[1];\r
- }\r
- if (type == PathIterator.SEG_CLOSE) {\r
- type = PathIterator.SEG_LINETO;\r
- lineTo[0] = startPos[0];\r
- lineTo[1] = startPos[1];\r
- }\r
- if (type>=PathIterator.SEG_LINETO && type<=PathIterator.SEG_CUBICTO)\r
- {\r
- degree = type;\r
- // from == xx\r
- break;\r
- }\r
- }\r
- } \r
- @Override\r
- public boolean hasNext() {\r
- return degree>0;\r
- }\r
- @Override\r
- public Shape next() {\r
- if (degree==0) return null;\r
- Shape res = null;\r
- if (degree==1) \r
- res = new Line2D.Double(from[0], from[1], lineTo[0], lineTo[1]);\r
- else if (degree==2) \r
- res = new QuadCurve2D.Double(from[0], from[1], lineTo[0], lineTo[1], lineTo[2], lineTo[3]);\r
- else if (degree==3) \r
- res = new CubicCurve2D.Double(from[0], from[1], lineTo[0], lineTo[1], lineTo[2], lineTo[3], lineTo[4], lineTo[5]);\r
- else throw new IllegalArgumentException();\r
- // traverse path iterator until end or until next segment is known\r
- degree = 0;\r
- from[0] = lineTo[0];\r
- from[1] = lineTo[1];\r
- while(!pi.isDone()) {\r
- int type = pi.currentSegment(lineTo);\r
- pi.next();\r
- if (type == PathIterator.SEG_MOVETO) {\r
- startPos[0] = from[0] = lineTo[0];\r
- startPos[1] = from[1] = lineTo[1];\r
- }\r
- if (type == PathIterator.SEG_CLOSE) {\r
- type = PathIterator.SEG_LINETO;\r
- lineTo[0] = startPos[0];\r
- lineTo[1] = startPos[1];\r
- }\r
- if (type>=PathIterator.SEG_LINETO && type<=PathIterator.SEG_CUBICTO)\r
- {\r
- degree = type; \r
- break;\r
- }\r
- }\r
- return res;\r
- }\r
- @Override\r
- public void remove() {\r
- throw new UnsupportedOperationException();\r
- }\r
- }\r
-\r
- \r
- \r
- \r
- public static Shape subdiv_takeLeft(Shape line, double t)\r
- {\r
- if (t==1) return line;\r
- if (line instanceof Line2D) {\r
- Line2D l = (Line2D) line;\r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getX2();\r
- double p1y = l.getY2(); \r
- double p1x_ = p0x*(1-t) + p1x*t;\r
- double p1y_ = p0y*(1-t) + p1y*t;\r
- \r
- return new Line2D.Double( p0x, p0y, p1x_, p1y_ );\r
- }\r
- \r
- if (line instanceof QuadCurve2D) {\r
- QuadCurve2D l = (QuadCurve2D) line;\r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getCtrlX();\r
- double p1y = l.getCtrlY(); \r
- double p2x = l.getX2();\r
- double p2y = l.getY2(); \r
- double p1x_ = p0x*(1-t) + p1x*t;\r
- double p1y_ = p0y*(1-t) + p1y*t;\r
- \r
- double q0x = p0x*(1-t) + p1x*t;\r
- double q0y = p0y*(1-t) + p1y*t;\r
-\r
- double q1x = p1x*(1-t) + p2x*t;\r
- double q1y = p1y*(1-t) + p2y*t;\r
- \r
- double p2x_ = q0x*(1-t) + q1x*t;\r
- double p2y_ = q0y*(1-t) + q1y*t;\r
- \r
- return new QuadCurve2D.Double( p0x, p0y, p1x_, p1y_, p2x_, p2y_ ); \r
- }\r
-\r
- if (line instanceof CubicCurve2D) {\r
- CubicCurve2D l = (CubicCurve2D) line;\r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getCtrlX1();\r
- double p1y = l.getCtrlY1(); \r
- double p2x = l.getCtrlX2();\r
- double p2y = l.getCtrlY2(); \r
- double p3x = l.getX2();\r
- double p3y = l.getY2(); \r
- double p1x_ = p0x*(1-t) + p1x*t;\r
- double p1y_ = p0y*(1-t) + p1y*t;\r
- \r
- double q0x = p0x*(1-t) + p1x*t;\r
- double q0y = p0y*(1-t) + p1y*t;\r
-\r
- double q1x = p1x*(1-t) + p2x*t;\r
- double q1y = p1y*(1-t) + p2y*t;\r
- \r
- double p2x_ = q0x*(1-t) + q1x*t;\r
- double p2y_ = q0y*(1-t) + q1y*t;\r
- \r
- double q2x = p2x*(1-t) + p3x*t;\r
- double q2y = p2y*(1-t) + p3y*t;\r
-\r
- double r0x = q0x*(1-t) + q1x*t;\r
- double r0y = q0y*(1-t) + q1y*t;\r
- \r
- double r1x = q1x*(1-t) + q2x*t;\r
- double r1y = q1y*(1-t) + q2y*t;\r
- \r
- double p3x_ = r0x*(1-t) + r1x*t;\r
- double p3y_ = r0y*(1-t) + r1y*t; \r
- \r
- return new CubicCurve2D.Double(p0x, p0y, p1x_, p1y_, p2x_, p2y_, p3x_, p3y_); \r
- }\r
-\r
- throw new IllegalArgumentException();\r
- }\r
- \r
- public static Shape subdiv_takeRight(Shape line, double t)\r
- {\r
- if (t==0) return line;\r
- if (line instanceof Line2D) {\r
- Line2D l = (Line2D) line;\r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getX2();\r
- double p1y = l.getY2(); \r
- double p0x_ = p0x*(1-t) + p1x*t;\r
- double p0y_ = p0y*(1-t) + p1y*t;\r
- \r
- return new Line2D.Double( p0x_, p0y_, p1x, p1y );\r
- }\r
- \r
- if (line instanceof QuadCurve2D) {\r
- QuadCurve2D l = (QuadCurve2D) line; \r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getCtrlX();\r
- double p1y = l.getCtrlY(); \r
- double p2x = l.getX2();\r
- double p2y = l.getY2(); \r
-\r
- double q0x = p0x*(1-t) + p1x*t;\r
- double q0y = p0y*(1-t) + p1y*t;\r
-\r
- double q1x = p1x*(1-t) + p2x*t;\r
- double q1y = p1y*(1-t) + p2y*t;\r
- \r
- double p2x_ = q0x*(1-t) + q1x*t;\r
- double p2y_ = q0y*(1-t) + q1y*t;\r
- \r
- return new QuadCurve2D.Double( p2x_, p2y_, q1x, q1y, p2x, p2y ); \r
- } \r
-\r
- \r
- if (line instanceof CubicCurve2D) {\r
- CubicCurve2D l = (CubicCurve2D) line;\r
- \r
- double p0x = l.getX1();\r
- double p0y = l.getY1();\r
- double p1x = l.getCtrlX1();\r
- double p1y = l.getCtrlY1(); \r
- double p2x = l.getCtrlX2();\r
- double p2y = l.getCtrlY2(); \r
- double p3x = l.getX2();\r
- double p3y = l.getY2();\r
- \r
- double q0x = p0x*(1-t) + p1x*t;\r
- double q0y = p0y*(1-t) + p1y*t;\r
-\r
- double q1x = p1x*(1-t) + p2x*t;\r
- double q1y = p1y*(1-t) + p2y*t;\r
- \r
- double q2x = p2x*(1-t) + p3x*t;\r
- double q2y = p2y*(1-t) + p3y*t;\r
-\r
- double r0x = q0x*(1-t) + q1x*t;\r
- double r0y = q0y*(1-t) + q1y*t;\r
- \r
- double r1x = q1x*(1-t) + q2x*t;\r
- double r1y = q1y*(1-t) + q2y*t;\r
- \r
- double p3x_ = r0x*(1-t) + r1x*t;\r
- double p3y_ = r0y*(1-t) + r1y*t; \r
- \r
- return new CubicCurve2D.Double( p3x_, p3y_, r1x, r1y, q2x, q2y, p3x, p3y ); \r
- } \r
- \r
- return null;\r
- }\r
- \r
-\r
-\r
- /**\r
- * Crops line segment into a smaller line segment\r
- * @param line line segment\r
- * @param t0 begin t\r
- * @param t1 end t\r
- * @return cropped line segment\r
- */\r
- public static Shape subdiv(Shape line, double t0, double t1)\r
- {\r
- if (t0==0 && t1==1) return line;\r
- Shape temp = subdiv_takeLeft(line, t1);\r
- return subdiv_takeRight(temp, t0/t1);\r
- }\r
- \r
- public static void appedToPath(Path2D p, Shape ... shapes)\r
- {\r
- for (Shape s : shapes)\r
- {\r
- Point2D cur = p.getCurrentPoint();\r
- if (s instanceof Line2D) {\r
- Line2D l = (Line2D) s;\r
- if (cur.getX()!=l.getX1() || cur.getY()!=l.getY1())\r
- p.moveTo(l.getX1(), l.getY1());\r
- p.lineTo(l.getX2(), l.getY2());\r
- } else if (s instanceof QuadCurve2D) {\r
- QuadCurve2D l = (QuadCurve2D) s;\r
- if (cur.getX()!=l.getX1() || cur.getY()!=l.getY1())\r
- p.moveTo(l.getX1(), l.getY1());\r
- p.quadTo(l.getCtrlX(), l.getCtrlY(), l.getX2(), l.getY2());\r
- } else if (s instanceof CubicCurve2D) {\r
- CubicCurve2D l = (CubicCurve2D) s;\r
- if (cur.getX()!=l.getX1() || cur.getY()!=l.getY1())\r
- p.moveTo(l.getX1(), l.getY1());\r
- p.curveTo(l.getCtrlX1(), l.getCtrlY1(), l.getCtrlX2(), l.getCtrlY2(), l.getX2(), l.getY2());\r
- } throw new IllegalArgumentException();\r
- }\r
- }\r
- public static void appedToPath(Path2D p, Collection<Shape> shapes)\r
- {\r
- for (Shape s : shapes)\r
- {\r
- Point2D cur = p.getCurrentPoint();\r
- if (s instanceof Line2D) {\r
- Line2D l = (Line2D) s;\r
- if (cur==null || cur.getX()!=l.getX1() || cur.getY()!=l.getY1())\r
- p.moveTo(l.getX1(), l.getY1());\r
- p.lineTo(l.getX2(), l.getY2());\r
- } else if (s instanceof QuadCurve2D) {\r
- QuadCurve2D l = (QuadCurve2D) s;\r
- if (cur==null || cur.getX()!=l.getX1() || cur.getY()!=l.getY1())\r
- p.moveTo(l.getX1(), l.getY1());\r
- p.quadTo(l.getCtrlX(), l.getCtrlY(), l.getX2(), l.getY2());\r
- } else if (s instanceof CubicCurve2D) {\r
- CubicCurve2D l = (CubicCurve2D) s;\r
- if (cur==null || cur.getX()!=l.getX1() || cur.getY()!=l.getY1())\r
- p.moveTo(l.getX1(), l.getY1());\r
- p.curveTo(l.getCtrlX1(), l.getCtrlY1(), l.getCtrlX2(), l.getCtrlY2(), l.getX2(), l.getY2());\r
- } else throw new IllegalArgumentException();\r
- }\r
- }\r
- \r
-\r
- public static void main(String[] args) {\r
- \r
- }\r
- \r
- \r
-}\r
+/*******************************************************************************
+ * Copyright (c) 2007, 2010 Association for Decentralized Information Management
+ * in Industry THTH ry.
+ * All rights reserved. This program and the accompanying materials
+ * are made available under the terms of the Eclipse Public License v1.0
+ * which accompanies this distribution, and is available at
+ * http://www.eclipse.org/legal/epl-v10.html
+ *
+ * Contributors:
+ * VTT Technical Research Centre of Finland - initial API and implementation
+ *******************************************************************************/
+package org.simantics.g2d.utils;
+
+import java.awt.Shape;
+import java.awt.geom.CubicCurve2D;
+import java.awt.geom.Line2D;
+import java.awt.geom.Path2D;
+import java.awt.geom.PathIterator;
+import java.awt.geom.Point2D;
+import java.awt.geom.QuadCurve2D;
+import java.util.ArrayList;
+import java.util.Collection;
+import java.util.Iterator;
+import java.util.List;
+
+/**
+ * Path Utils.
+ * <p>
+ * A line segment (linear, quadratic or cubic bezier) is described
+ * with a double array. The length of the array describes its degree (4,6,8).
+ * The first 2 elements define start point and last 2 the end point.
+ * Points in the middle are bezier control points.
+ *
+ * @See {@link GeometryUtils} for more geometry related utilities
+ * @author Toni Kalajainen
+ */
+public class PathUtils2 {
+
+ /**
+ * Get tangent of an bezier
+ * @param lineSegment bezier of n degrees
+ * @param degree 1..3
+ * @param t 0..1
+ * @return unit vector
+ */
+ public static Point2D getLineTangent(Shape line, double t, Point2D pt)
+ {
+ double x=0, y=0;
+ if (line instanceof Line2D)
+ {
+ Line2D l = (Line2D) line;
+ x = l.getX1() - l.getX2();
+ y = l.getY1() - l.getY2();
+ } else if (line instanceof QuadCurve2D) {
+ QuadCurve2D l = (QuadCurve2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getCtrlX();
+ double p1y = l.getCtrlY();
+ double p2x = l.getX2();
+ double p2y = l.getY2();
+ x = 2*t*(p0x - 2*p1x + p2x) + 2*(-p0x + p1x);
+ y = 2*t*(p0y - 2*p1y + p2y) + 2*(-p0y + p1y);
+
+ } else if (line instanceof CubicCurve2D) {
+ CubicCurve2D l = (CubicCurve2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getCtrlX1();
+ double p1y = l.getCtrlY1();
+ double p2x = l.getCtrlX2();
+ double p2y = l.getCtrlY2();
+ double p3x = l.getX2();
+ double p3y = l.getY2();
+ x = 3*(1-t)*(1-t)*(p1x-p2x) + 3*(p2x-p1x)*2*t*(1-t) + 3*(p3x-p0x)*t*t;
+ y = 3*(1-t)*(1-t)*(p1y-p0y) + 3*(p2y-p1y)*2*t*(1-t) + 3*(p3y-p2y)*t*t;
+ } else throw new IllegalArgumentException();
+
+ return new Point2D.Double(x, y);
+ }
+
+ /**
+ *
+ * @param lineSegment
+ * @param t 0..1
+ * @return
+ */
+ public static Point2D getLinePos(Shape line, double t, Point2D pt)
+ {
+ assert(line!=null);
+ double x=0, y=0;
+ if (pt==null) pt = new Point2D.Double();
+
+ if (line instanceof Line2D) {
+ Line2D l = (Line2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getX2();
+ double p1y = l.getY2();
+
+ x = p0x*(1-t) + t*p1x;
+ y = p0y*(1-t) + t*p1y;
+ } else
+ if (line instanceof QuadCurve2D) {
+ QuadCurve2D l = (QuadCurve2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getCtrlX();
+ double p1y = l.getCtrlY();
+ double p2x = l.getX2();
+ double p2y = l.getY2();
+
+ double c2x = p0x-2*p1x+p2x;
+ double c2y = p0y-2*p1y+p2y;
+
+ double c1x = -2*p0x+2*p1x;
+ double c1y = -2*p0y+2*p1y;
+
+ double c0x = p0x;
+ double c0y = p0y;
+
+ x = t*t*c2x+t*c1x+c0x;
+ y = t*t*c2y+t*c1y+c0y;
+ } else if (line instanceof CubicCurve2D) {
+ CubicCurve2D l = (CubicCurve2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getCtrlX1();
+ double p1y = l.getCtrlY1();
+ double p2x = l.getCtrlX2();
+ double p2y = l.getCtrlY2();
+ double p3x = l.getX2();
+ double p3y = l.getY2();
+
+ x = (1-t)*(1-t)*(1-t)*p0x + 3*t*(1-t)*(1-t)*p1x + 3*t*t*(1-t)*p2x + t*t*t*p3x;
+ y = (1-t)*(1-t)*(1-t)*p0y + 3*t*(1-t)*(1-t)*p1y + 3*t*t*(1-t)*p2y + t*t*t*p3y;
+ } else throw new IllegalArgumentException();
+ pt.setLocation(x, y);
+
+ return pt;
+ }
+
+ public static double getLineLength(Shape line)
+ {
+ if (line instanceof Line2D) {
+ Line2D l = (Line2D) line;
+ double dx = l.getX2() - l.getX1();
+ double dy = l.getY2() - l.getY1();
+ return Math.sqrt(dx*dx+dy*dy);
+ }
+
+ // Quick'n'dirty approximation
+ // TODO Replace with accurate value
+ double result = 0;
+ Point2D prevPos = getLinePos(line, 0.0, null);
+ for (int i=0; i<10; i++)
+ {
+ double t = (double)(i+1)/10;
+ Point2D pos = getLinePos(line, t, null);
+ result += pos.distance(prevPos);
+ prevPos.setLocation(pos);
+ }
+ return result;
+ }
+
+ public static int getLineDegree(Shape line)
+ {
+ if (line instanceof Line2D) return 1;
+ if (line instanceof QuadCurve2D) return 2;
+ if (line instanceof CubicCurve2D) return 3;
+ throw new IllegalArgumentException(line+" is not a shape");
+ }
+
+
+ public static double[] toArray(Shape line)
+ {
+ if (line instanceof Line2D) {
+ Line2D l = (Line2D) line;
+ return new double[] {l.getX1(), l.getY1(), l.getX2(), l.getY2()};
+ }
+ if (line instanceof QuadCurve2D) {
+ QuadCurve2D l = (QuadCurve2D) line;
+ return new double[] {l.getX1(), l.getY1(), l.getCtrlX(), l.getCtrlY(), l.getX2(), l.getY2()};
+ }
+ if (line instanceof CubicCurve2D) {
+ CubicCurve2D l = (CubicCurve2D) line;
+ return new double[] {l.getX1(), l.getY1(), l.getCtrlX1(), l.getCtrlY1(), l.getCtrlX2(), l.getCtrlY2(), l.getX2(), l.getY2()};
+ }
+ throw new IllegalArgumentException(line+" is not a shape");
+ }
+
+ public static Shape toShape(double dada[])
+ {
+ if (dada.length==4)
+ return new Line2D.Double(dada[0], dada[1], dada[2], dada[3]);
+ if (dada.length==6)
+ return new QuadCurve2D.Double(dada[0], dada[1], dada[2], dada[3], dada[4], dada[5]);
+ if (dada.length==8)
+ return new CubicCurve2D.Double(dada[0], dada[1], dada[2], dada[3], dada[4], dada[5], dada[6], dada[7]);
+ throw new IllegalArgumentException();
+ }
+
+ public static void interpolatePaths(List<Shape> l1, List<Shape> l2, double t, Collection<Shape> result)
+ {
+ if (l1.size()>l2.size()) {
+ List<Shape> l_ = l1;
+ l1 = l2;
+ l2 = l_;
+ t = 1-t;
+ }
+
+ int div = l2.size() / l1.size();
+ int mod = l2.size() % l1.size();
+
+ int rightIndex = 0;
+ for (int i=0; i<l1.size(); i++) {
+ int rightCounterParts = i<l1.size()-1 ? (i<mod?div+1:div) : div;
+ int leftIndex = i;
+ Shape leftShape = l1.get(leftIndex);
+ for (int j=0; j<rightCounterParts; j++)
+ {
+ Shape rightShape = l2.get(rightIndex++);
+ double inv = 1/(double)rightCounterParts;
+ double t0 = j*inv;
+ double t1 = (j+1)*inv;
+ Shape leftShapePart = subdiv(leftShape, t0, t1);
+ Shape intpShape = interpolateLine(leftShapePart, rightShape, t);
+ result.add( intpShape );
+ }
+ }
+ }
+
+ /**
+ * Interpolate two paths
+ * @param path1
+ * @param path2
+ * @param t phase 0..1, 0==path1, 1==path2
+ * @return
+ */
+ public static Path2D interpolatePaths(PathIterator path1, PathIterator path2, double t)
+ {
+ ArrayList<Shape> l1 = new ArrayList<Shape>();
+ ArrayList<Shape> l2 = new ArrayList<Shape>();
+ toShapes(path1, l1);
+ toShapes(path2, l2);
+ ArrayList<Shape> result = new ArrayList<Shape>();
+ interpolatePaths(l1, l2, t, result);
+ Path2D p = new Path2D.Double();
+ appedToPath(p, result);
+ return p;
+ }
+
+ public static Path2D interpolatePaths(Path2D path1, Path2D path2, double t)
+ {
+ return interpolatePaths(path1.getPathIterator(null), path2.getPathIterator(null), t);
+ }
+
+ public static Shape interpolateLine(Shape l1, Shape l2, double t)
+ {
+ assert(t>=0 && t<=1);
+ if (t==0) return l1;
+ if (t==1) return l2;
+
+ double[] a1 = toArray(l1);
+ double[] a2 = toArray(l2);
+ double[] res = PathUtils.interpolateLineSegment(a1, a2, t);
+ return toShape(res);
+ }
+
+ public static void toShapes(PathIterator pi, Collection<Shape> result)
+ {
+ Iterator<Shape> i = toShapeIterator(pi);
+ while (i.hasNext()) {
+ Shape segment = i.next();
+ result.add(segment);
+ }
+ }
+
+ /**
+ * Returns an iterator that splits path into line shapes
+ * @param pi path iterator
+ * @return line segment iterator
+ */
+ public static Iterator<Shape> toShapeIterator(final PathIterator pi)
+ {
+ return new PathIteratorToShapeIterator(pi);
+ }
+
+ private static class PathIteratorToShapeIterator implements Iterator<Shape>
+ {
+ final PathIterator pi;
+ double lineTo[] = new double[6];
+ double startPos[] = new double[2];
+ double from[] = new double[2];
+ int degree = 0;
+ PathIteratorToShapeIterator(PathIterator pi) {
+ this.pi = pi;
+ while(!pi.isDone()) {
+ int type = pi.currentSegment(lineTo);
+ pi.next();
+ if (type == PathIterator.SEG_MOVETO) {
+ startPos[0] = from[0] = lineTo[0];
+ startPos[1] = from[1] = lineTo[1];
+ }
+ if (type == PathIterator.SEG_CLOSE) {
+ type = PathIterator.SEG_LINETO;
+ lineTo[0] = startPos[0];
+ lineTo[1] = startPos[1];
+ }
+ if (type>=PathIterator.SEG_LINETO && type<=PathIterator.SEG_CUBICTO)
+ {
+ degree = type;
+ // from == xx
+ break;
+ }
+ }
+ }
+ @Override
+ public boolean hasNext() {
+ return degree>0;
+ }
+ @Override
+ public Shape next() {
+ if (degree==0) return null;
+ Shape res = null;
+ if (degree==1)
+ res = new Line2D.Double(from[0], from[1], lineTo[0], lineTo[1]);
+ else if (degree==2)
+ res = new QuadCurve2D.Double(from[0], from[1], lineTo[0], lineTo[1], lineTo[2], lineTo[3]);
+ else if (degree==3)
+ res = new CubicCurve2D.Double(from[0], from[1], lineTo[0], lineTo[1], lineTo[2], lineTo[3], lineTo[4], lineTo[5]);
+ else throw new IllegalArgumentException();
+ // traverse path iterator until end or until next segment is known
+ degree = 0;
+ from[0] = lineTo[0];
+ from[1] = lineTo[1];
+ while(!pi.isDone()) {
+ int type = pi.currentSegment(lineTo);
+ pi.next();
+ if (type == PathIterator.SEG_MOVETO) {
+ startPos[0] = from[0] = lineTo[0];
+ startPos[1] = from[1] = lineTo[1];
+ }
+ if (type == PathIterator.SEG_CLOSE) {
+ type = PathIterator.SEG_LINETO;
+ lineTo[0] = startPos[0];
+ lineTo[1] = startPos[1];
+ }
+ if (type>=PathIterator.SEG_LINETO && type<=PathIterator.SEG_CUBICTO)
+ {
+ degree = type;
+ break;
+ }
+ }
+ return res;
+ }
+ @Override
+ public void remove() {
+ throw new UnsupportedOperationException();
+ }
+ }
+
+
+
+
+ public static Shape subdiv_takeLeft(Shape line, double t)
+ {
+ if (t==1) return line;
+ if (line instanceof Line2D) {
+ Line2D l = (Line2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getX2();
+ double p1y = l.getY2();
+ double p1x_ = p0x*(1-t) + p1x*t;
+ double p1y_ = p0y*(1-t) + p1y*t;
+
+ return new Line2D.Double( p0x, p0y, p1x_, p1y_ );
+ }
+
+ if (line instanceof QuadCurve2D) {
+ QuadCurve2D l = (QuadCurve2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getCtrlX();
+ double p1y = l.getCtrlY();
+ double p2x = l.getX2();
+ double p2y = l.getY2();
+ double p1x_ = p0x*(1-t) + p1x*t;
+ double p1y_ = p0y*(1-t) + p1y*t;
+
+ double q0x = p0x*(1-t) + p1x*t;
+ double q0y = p0y*(1-t) + p1y*t;
+
+ double q1x = p1x*(1-t) + p2x*t;
+ double q1y = p1y*(1-t) + p2y*t;
+
+ double p2x_ = q0x*(1-t) + q1x*t;
+ double p2y_ = q0y*(1-t) + q1y*t;
+
+ return new QuadCurve2D.Double( p0x, p0y, p1x_, p1y_, p2x_, p2y_ );
+ }
+
+ if (line instanceof CubicCurve2D) {
+ CubicCurve2D l = (CubicCurve2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getCtrlX1();
+ double p1y = l.getCtrlY1();
+ double p2x = l.getCtrlX2();
+ double p2y = l.getCtrlY2();
+ double p3x = l.getX2();
+ double p3y = l.getY2();
+ double p1x_ = p0x*(1-t) + p1x*t;
+ double p1y_ = p0y*(1-t) + p1y*t;
+
+ double q0x = p0x*(1-t) + p1x*t;
+ double q0y = p0y*(1-t) + p1y*t;
+
+ double q1x = p1x*(1-t) + p2x*t;
+ double q1y = p1y*(1-t) + p2y*t;
+
+ double p2x_ = q0x*(1-t) + q1x*t;
+ double p2y_ = q0y*(1-t) + q1y*t;
+
+ double q2x = p2x*(1-t) + p3x*t;
+ double q2y = p2y*(1-t) + p3y*t;
+
+ double r0x = q0x*(1-t) + q1x*t;
+ double r0y = q0y*(1-t) + q1y*t;
+
+ double r1x = q1x*(1-t) + q2x*t;
+ double r1y = q1y*(1-t) + q2y*t;
+
+ double p3x_ = r0x*(1-t) + r1x*t;
+ double p3y_ = r0y*(1-t) + r1y*t;
+
+ return new CubicCurve2D.Double(p0x, p0y, p1x_, p1y_, p2x_, p2y_, p3x_, p3y_);
+ }
+
+ throw new IllegalArgumentException();
+ }
+
+ public static Shape subdiv_takeRight(Shape line, double t)
+ {
+ if (t==0) return line;
+ if (line instanceof Line2D) {
+ Line2D l = (Line2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getX2();
+ double p1y = l.getY2();
+ double p0x_ = p0x*(1-t) + p1x*t;
+ double p0y_ = p0y*(1-t) + p1y*t;
+
+ return new Line2D.Double( p0x_, p0y_, p1x, p1y );
+ }
+
+ if (line instanceof QuadCurve2D) {
+ QuadCurve2D l = (QuadCurve2D) line;
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getCtrlX();
+ double p1y = l.getCtrlY();
+ double p2x = l.getX2();
+ double p2y = l.getY2();
+
+ double q0x = p0x*(1-t) + p1x*t;
+ double q0y = p0y*(1-t) + p1y*t;
+
+ double q1x = p1x*(1-t) + p2x*t;
+ double q1y = p1y*(1-t) + p2y*t;
+
+ double p2x_ = q0x*(1-t) + q1x*t;
+ double p2y_ = q0y*(1-t) + q1y*t;
+
+ return new QuadCurve2D.Double( p2x_, p2y_, q1x, q1y, p2x, p2y );
+ }
+
+
+ if (line instanceof CubicCurve2D) {
+ CubicCurve2D l = (CubicCurve2D) line;
+
+ double p0x = l.getX1();
+ double p0y = l.getY1();
+ double p1x = l.getCtrlX1();
+ double p1y = l.getCtrlY1();
+ double p2x = l.getCtrlX2();
+ double p2y = l.getCtrlY2();
+ double p3x = l.getX2();
+ double p3y = l.getY2();
+
+ double q0x = p0x*(1-t) + p1x*t;
+ double q0y = p0y*(1-t) + p1y*t;
+
+ double q1x = p1x*(1-t) + p2x*t;
+ double q1y = p1y*(1-t) + p2y*t;
+
+ double q2x = p2x*(1-t) + p3x*t;
+ double q2y = p2y*(1-t) + p3y*t;
+
+ double r0x = q0x*(1-t) + q1x*t;
+ double r0y = q0y*(1-t) + q1y*t;
+
+ double r1x = q1x*(1-t) + q2x*t;
+ double r1y = q1y*(1-t) + q2y*t;
+
+ double p3x_ = r0x*(1-t) + r1x*t;
+ double p3y_ = r0y*(1-t) + r1y*t;
+
+ return new CubicCurve2D.Double( p3x_, p3y_, r1x, r1y, q2x, q2y, p3x, p3y );
+ }
+
+ return null;
+ }
+
+
+
+ /**
+ * Crops line segment into a smaller line segment
+ * @param line line segment
+ * @param t0 begin t
+ * @param t1 end t
+ * @return cropped line segment
+ */
+ public static Shape subdiv(Shape line, double t0, double t1)
+ {
+ if (t0==0 && t1==1) return line;
+ Shape temp = subdiv_takeLeft(line, t1);
+ return subdiv_takeRight(temp, t0/t1);
+ }
+
+ public static void appedToPath(Path2D p, Shape ... shapes)
+ {
+ for (Shape s : shapes)
+ {
+ Point2D cur = p.getCurrentPoint();
+ if (s instanceof Line2D) {
+ Line2D l = (Line2D) s;
+ if (cur.getX()!=l.getX1() || cur.getY()!=l.getY1())
+ p.moveTo(l.getX1(), l.getY1());
+ p.lineTo(l.getX2(), l.getY2());
+ } else if (s instanceof QuadCurve2D) {
+ QuadCurve2D l = (QuadCurve2D) s;
+ if (cur.getX()!=l.getX1() || cur.getY()!=l.getY1())
+ p.moveTo(l.getX1(), l.getY1());
+ p.quadTo(l.getCtrlX(), l.getCtrlY(), l.getX2(), l.getY2());
+ } else if (s instanceof CubicCurve2D) {
+ CubicCurve2D l = (CubicCurve2D) s;
+ if (cur.getX()!=l.getX1() || cur.getY()!=l.getY1())
+ p.moveTo(l.getX1(), l.getY1());
+ p.curveTo(l.getCtrlX1(), l.getCtrlY1(), l.getCtrlX2(), l.getCtrlY2(), l.getX2(), l.getY2());
+ } throw new IllegalArgumentException();
+ }
+ }
+ public static void appedToPath(Path2D p, Collection<Shape> shapes)
+ {
+ for (Shape s : shapes)
+ {
+ Point2D cur = p.getCurrentPoint();
+ if (s instanceof Line2D) {
+ Line2D l = (Line2D) s;
+ if (cur==null || cur.getX()!=l.getX1() || cur.getY()!=l.getY1())
+ p.moveTo(l.getX1(), l.getY1());
+ p.lineTo(l.getX2(), l.getY2());
+ } else if (s instanceof QuadCurve2D) {
+ QuadCurve2D l = (QuadCurve2D) s;
+ if (cur==null || cur.getX()!=l.getX1() || cur.getY()!=l.getY1())
+ p.moveTo(l.getX1(), l.getY1());
+ p.quadTo(l.getCtrlX(), l.getCtrlY(), l.getX2(), l.getY2());
+ } else if (s instanceof CubicCurve2D) {
+ CubicCurve2D l = (CubicCurve2D) s;
+ if (cur==null || cur.getX()!=l.getX1() || cur.getY()!=l.getY1())
+ p.moveTo(l.getX1(), l.getY1());
+ p.curveTo(l.getCtrlX1(), l.getCtrlY1(), l.getCtrlX2(), l.getCtrlY2(), l.getX2(), l.getY2());
+ } else throw new IllegalArgumentException();
+ }
+ }
+
+
+ public static void main(String[] args) {
+
+ }
+
+
+}
Code Review / simantics / platform.git / blobdiff