package lujing; import java.util.ArrayList; import java.util.Collections; import java.util.List; /** * 凸形草地路径规划 (避障修复版) * 修复重点:强化跨行及避障后的路径连贯性,确保每一段切割都有显式的移动路径连接。 */ public class AoxinglujingHaveObstacel { private static final double EPSILON = 1e-6; public static class Point { public double x, y; public Point(double x, double y) { this.x = x; this.y = y; } @Override public String toString() { return String.format("%.6f,%.6f", x, y); } } public static class PathSegment { public Point start, end; public boolean isMowing; public PathSegment(Point start, Point end, boolean isMowing) { this.start = start; this.end = end; this.isMowing = isMowing; } } public abstract static class Obstacle { public abstract boolean isInside(Point p); public abstract List getIntersectionsX(double y, double angle); } public static class PolygonObstacle extends Obstacle { public List points; public PolygonObstacle(List points) { this.points = points; } @Override public boolean isInside(Point p) { boolean result = false; for (int i = 0, j = points.size() - 1; i < points.size(); j = i++) { if ((points.get(i).y > p.y) != (points.get(j).y > p.y) && (p.x < (points.get(j).x - points.get(i).x) * (p.y - points.get(i).y) / (points.get(j).y - points.get(i).y) + points.get(i).x)) { result = !result; } } return result; } @Override public List getIntersectionsX(double y, double angle) { List rotated = rotatePolygon(this.points, -angle); List xInts = new ArrayList<>(); for (int i = 0; i < rotated.size(); i++) { Point p1 = rotated.get(i), p2 = rotated.get((i + 1) % rotated.size()); if ((p1.y <= y && p2.y > y) || (p2.y <= y && p1.y > y)) { xInts.add(p1.x + (y - p1.y) * (p2.x - p1.x) / (p2.y - p1.y)); } } return xInts; } } public static class CircleObstacle extends Obstacle { public Point center; public double radius; public CircleObstacle(Point center, double radius) { this.center = center; this.radius = radius; } @Override public boolean isInside(Point p) { return Math.hypot(p.x - center.x, p.y - center.y) <= radius + EPSILON; } @Override public List getIntersectionsX(double y, double angle) { List xInts = new ArrayList<>(); Point rCenter = rotatePoint(center, -angle); double dy = Math.abs(y - rCenter.y); if (dy < radius) { double dx = Math.sqrt(radius * radius - dy * dy); xInts.add(rCenter.x - dx); xInts.add(rCenter.x + dx); } return xInts; } } public static List planPath(String boundaryStr, String obstacleStr, String widthStr, String marginStr) { List boundary = parseCoords(boundaryStr); double width = Double.parseDouble(widthStr); double margin = Double.parseDouble(marginStr); List obstacles = parseObstacles(obstacleStr, margin); return planPathCore(boundary, obstacles, width, margin); } private static List planPathCore(List boundary, List obstacles, double width, double margin) { if (boundary.size() < 3) return new ArrayList<>(); ensureCCW(boundary); List workArea = shrinkPolygon(boundary, margin); if (workArea.size() < 3) return new ArrayList<>(); double bestAngle = findOptimalScanAngle(workArea); Point firstScanStart = getFirstScanStartPoint(workArea, bestAngle, width); List alignedWorkArea = alignBoundaryToStart(workArea, firstScanStart); List finalPath = new ArrayList<>(); // 1. 添加围边路径 for (int i = 0; i < alignedWorkArea.size(); i++) { finalPath.add(new PathSegment(alignedWorkArea.get(i), alignedWorkArea.get((i + 1) % alignedWorkArea.size()), true)); } // 2. 生成内部弓字形 (强化连接逻辑) Point currentPos = alignedWorkArea.get(0); List zigZag = generateFixedZigZag(workArea, obstacles, bestAngle, width, currentPos); finalPath.addAll(zigZag); return finalPath; } private static List generateFixedZigZag(List polygon, List obstacles, double angle, double width, Point startPoint) { List result = new ArrayList<>(); List rotatedPoly = rotatePolygon(polygon, -angle); double minY = Double.MAX_VALUE, maxY = -Double.MAX_VALUE; for (Point p : rotatedPoly) { minY = Math.min(minY, p.y); maxY = Math.max(maxY, p.y); } Point currentPos = startPoint; boolean leftToRight = true; for (double y = minY + width; y < maxY - width/2; y += width) { List polyInts = getXIntersections(rotatedPoly, y); if (polyInts.size() < 2) continue; Collections.sort(polyInts); double xMin = polyInts.get(0), xMax = polyInts.get(polyInts.size() - 1); // 收集所有分割点(边界 + 障碍物交点) List splits = new ArrayList<>(); splits.add(xMin); splits.add(xMax); for (Obstacle obs : obstacles) { for (double ox : obs.getIntersectionsX(y, angle)) { if (ox > xMin + EPSILON && ox < xMax - EPSILON) splits.add(ox); } } Collections.sort(splits); // 构建本行候选段 List rowSegments = new ArrayList<>(); for (int i = 0; i < splits.size() - 1; i++) { double s = splits.get(i), e = splits.get(i+1); Point mid = rotatePoint(new Point((s + e) / 2.0, y), angle); if (!isPointInAnyObstacle(mid, obstacles)) { rowSegments.add(new Double[]{s, e}); } } // 根据当前S型方向排序 if (!leftToRight) { Collections.reverse(rowSegments); for (Double[] seg : rowSegments) { double t = seg[0]; seg[0] = seg[1]; seg[1] = t; } } // 执行连接:强制检查 currentPos 到每一段起点的距离 for (Double[] seg : rowSegments) { Point p1 = rotatePoint(new Point(seg[0], y), angle); Point p2 = rotatePoint(new Point(seg[1], y), angle); // 核心修复:无论多近,只要不是同一点,就建立虚线连接,确保路径流转 if (dist(currentPos, p1) > 0.001) { result.add(new PathSegment(currentPos, p1, false)); } result.add(new PathSegment(p1, p2, true)); currentPos = p2; } leftToRight = !leftToRight; } return result; } private static boolean isPointInAnyObstacle(Point p, List obstacles) { for (Obstacle obs : obstacles) if (obs.isInside(p)) return true; return false; } private static double dist(Point p1, Point p2) { return Math.hypot(p1.x - p2.x, p1.y - p2.y); } // --- 辅助工具 (解析与变换) --- private static List parseObstacles(String obsStr, double margin) { List list = new ArrayList<>(); if (obsStr == null || obsStr.isEmpty()) return list; for (String part : obsStr.split("\\$")) { List pts = parseCoords(part); if (pts.size() == 2) { double r = dist(pts.get(0), pts.get(1)); list.add(new CircleObstacle(pts.get(0), r + margin)); } else if (pts.size() > 2) { ensureCCW(pts); list.add(new PolygonObstacle(expandPolygon(pts, margin))); } } return list; } private static List expandPolygon(List poly, double margin) { List res = new ArrayList<>(); int n = poly.size(); for (int i = 0; i < n; i++) { Point p1 = poly.get((i - 1 + n) % n), p2 = poly.get(i), p3 = poly.get((i + 1) % n); double d1x = p2.x - p1.x, d1y = p2.y - p1.y; double d2x = p3.x - p2.x, d2y = p3.y - p2.y; double l1 = Math.hypot(d1x, d1y), l2 = Math.hypot(d2x, d2y); double n1x = d1y / l1, n1y = -d1x / l1; double n2x = d2y / l2, n2y = -d2x / l2; double bx = n1x + n2x, by = n1y + n2y; double bLen = Math.hypot(bx, by); if (bLen < EPSILON) { bx = n1x; by = n1y; } else { bx /= bLen; by /= bLen; } double d = margin / Math.max(n1x * bx + n1y * by, 0.1); res.add(new Point(p2.x + bx * Math.min(d, margin * 2), p2.y + by * Math.min(d, margin * 2))); } return res; } private static List parseCoords(String s) { List list = new ArrayList<>(); for (String p : s.split(";")) { String[] xy = p.split(","); if (xy.length >= 2) list.add(new Point(Double.parseDouble(xy[0]), Double.parseDouble(xy[1]))); } return list; } private static void ensureCCW(List poly) { double s = 0; for (int i = 0; i < poly.size(); i++) { Point p1 = poly.get(i), p2 = poly.get((i + 1) % poly.size()); s += (p2.x - p1.x) * (p2.y + p1.y); } if (s > 0) Collections.reverse(poly); } private static List shrinkPolygon(List poly, double margin) { List res = new ArrayList<>(); int n = poly.size(); for (int i = 0; i < n; i++) { Point p1 = poly.get((i - 1 + n) % n), p2 = poly.get(i), p3 = poly.get((i + 1) % n); double d1x = p2.x - p1.x, d1y = p2.y - p1.y; double d2x = p3.x - p2.x, d2y = p3.y - p2.y; double l1 = Math.hypot(d1x, d1y), l2 = Math.hypot(d2x, d2y); double n1x = -d1y / l1, n1y = d1x / l1; double n2x = -d2y / l2, n2y = d2x / l2; double bx = n1x + n2x, by = n1y + n2y; double bLen = Math.hypot(bx, by); if (bLen < EPSILON) { bx = n1x; by = n1y; } else { bx /= bLen; by /= bLen; } double d = margin / Math.max(n1x * bx + n1y * by, 0.1); res.add(new Point(p2.x + bx * d, p2.y + by * d)); } return res; } private static double findOptimalScanAngle(List poly) { double minH = Double.MAX_VALUE, bestA = 0; for (int i = 0; i < poly.size(); i++) { Point p1 = poly.get(i), p2 = poly.get((i + 1) % poly.size()); double a = Math.atan2(p2.y - p1.y, p2.x - p1.x); double minY = Double.MAX_VALUE, maxY = -Double.MAX_VALUE; double s = Math.sin(-a), c = Math.cos(-a); for (Point p : poly) { double ry = p.x * s + p.y * c; minY = Math.min(minY, ry); maxY = Math.max(maxY, ry); } if (maxY - minY < minH) { minH = maxY - minY; bestA = a; } } return bestA; } private static List getXIntersections(List rotatedPoly, double y) { List xInts = new ArrayList<>(); for (int i = 0; i < rotatedPoly.size(); i++) { Point p1 = rotatedPoly.get(i), p2 = rotatedPoly.get((i + 1) % rotatedPoly.size()); if ((p1.y <= y && p2.y > y) || (p2.y <= y && p1.y > y)) { xInts.add(p1.x + (y - p1.y) * (p2.x - p1.x) / (p2.y - p1.y)); } } return xInts; } private static Point getFirstScanStartPoint(List poly, double angle, double width) { List rot = rotatePolygon(poly, -angle); double minY = Double.MAX_VALUE; for (Point p : rot) minY = Math.min(minY, p.y); double sy = minY + width + EPSILON; List x = getXIntersections(rot, sy); Collections.sort(x); return rotatePoint(new Point(x.isEmpty() ? 0 : x.get(0), sy), angle); } private static List alignBoundaryToStart(List poly, Point target) { int idx = 0; double minD = Double.MAX_VALUE; for (int i = 0; i < poly.size(); i++) { double d = dist(poly.get(i), target); if (d < minD) { minD = d; idx = i; } } List res = new ArrayList<>(); for (int i = 0; i < poly.size(); i++) res.add(poly.get((idx + i) % poly.size())); return res; } private static Point rotatePoint(Point p, double a) { double c = Math.cos(a), s = Math.sin(a); return new Point(p.x * c - p.y * s, p.x * s + p.y * c); } private static List rotatePolygon(List poly, double a) { List res = new ArrayList<>(); for (Point p : poly) res.add(rotatePoint(p, a)); return res; } }