| | |
| | | import java.util.List; |
| | | |
| | | /** |
| | | * 凸形草地路径规划 (避障优化版) |
| | | * 优化:增加了障碍物区间预处理、路径连接就近原则、以及更稳健的多边形外扩 |
| | | * 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 { |
| | | |
| | |
| | | public static class PolygonObstacle extends Obstacle { |
| | | public List<Point> points; |
| | | public PolygonObstacle(List<Point> points) { this.points = points; } |
| | | |
| | | @Override |
| | | public boolean isInside(Point p) { |
| | | boolean result = false; |
| | |
| | | } |
| | | return result; |
| | | } |
| | | |
| | | @Override |
| | | public List<Double> getIntersectionsX(double y, double angle) { |
| | | List<Point> rotated = rotatePolygon(this.points, -angle); |
| | |
| | | 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; |
| | | } |
| | | |
| | | public boolean isInside(Point p) { return Math.hypot(p.x - center.x, p.y - center.y) <= radius + EPSILON; } |
| | | @Override |
| | | public List<Double> getIntersectionsX(double y, double angle) { |
| | | List<Double> xInts = new ArrayList<>(); |
| | |
| | | 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); |
| | | xInts.add(rCenter.x - dx); xInts.add(rCenter.x + dx); |
| | | } |
| | | return xInts; |
| | | } |
| | |
| | | double width = Double.parseDouble(widthStr); |
| | | double margin = Double.parseDouble(marginStr); |
| | | List<Obstacle> obstacles = parseObstacles(obstacleStr, margin); |
| | | |
| | | return planPathCore(boundary, obstacles, width, margin); |
| | | } |
| | | |
| | | private static List<PathSegment> planPathCore(List<Point> boundary, List<Obstacle> obstacles, double width, double margin) { |
| | | if (boundary.size() < 3) return new ArrayList<>(); |
| | | |
| | | ensureCCW(boundary); |
| | | List<Point> workArea = shrinkPolygon(boundary, margin); |
| | | if (workArea.size() < 3) return new ArrayList<>(); |
| | |
| | | List<Point> alignedWorkArea = alignBoundaryToStart(workArea, firstScanStart); |
| | | |
| | | List<PathSegment> finalPath = new ArrayList<>(); |
| | | |
| | | // 1. 围边路径 |
| | | // 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. 内部填充 |
| | | // 2. 生成内部弓字形 (强化连接逻辑) |
| | | Point currentPos = alignedWorkArea.get(0); |
| | | List<PathSegment> zigZagLines = generateOptimizedZigZag(workArea, obstacles, bestAngle, width, currentPos); |
| | | finalPath.addAll(zigZagLines); |
| | | List<PathSegment> zigZag = generateFixedZigZag(workArea, obstacles, bestAngle, width, currentPos); |
| | | finalPath.addAll(zigZag); |
| | | |
| | | return finalPath; |
| | | } |
| | | |
| | | private static List<PathSegment> generateOptimizedZigZag(List<Point> polygon, List<Obstacle> obstacles, double angle, double width, Point startPoint) { |
| | | private static List<PathSegment> generateFixedZigZag(List<Point> polygon, List<Obstacle> obstacles, double angle, double width, Point startPoint) { |
| | | List<PathSegment> result = new ArrayList<>(); |
| | | List<Point> 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); |
| | | } |
| | | 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<Double> intersections = getXIntersections(rotatedPoly, y); |
| | | if (intersections.size() < 2) continue; |
| | | Collections.sort(intersections); |
| | | List<Double> polyInts = getXIntersections(rotatedPoly, y); |
| | | if (polyInts.size() < 2) continue; |
| | | Collections.sort(polyInts); |
| | | double xMin = polyInts.get(0), xMax = polyInts.get(polyInts.size() - 1); |
| | | |
| | | double xBoundaryMin = intersections.get(0); |
| | | double xBoundaryMax = intersections.get(intersections.size() - 1); |
| | | |
| | | // 收集当前行所有障碍物交点并进行裁剪 |
| | | List<Double> splitPoints = new ArrayList<>(); |
| | | splitPoints.add(xBoundaryMin); |
| | | // 收集所有分割点(边界 + 障碍物交点) |
| | | List<Double> splits = new ArrayList<>(); |
| | | splits.add(xMin); splits.add(xMax); |
| | | for (Obstacle obs : obstacles) { |
| | | List<Double> obsX = obs.getIntersectionsX(y, angle); |
| | | for (double ox : obsX) { |
| | | if (ox > xBoundaryMin && ox < xBoundaryMax) splitPoints.add(ox); |
| | | for (double ox : obs.getIntersectionsX(y, angle)) { |
| | | if (ox > xMin + EPSILON && ox < xMax - EPSILON) splits.add(ox); |
| | | } |
| | | } |
| | | Collections.sort(splitPoints); |
| | | Collections.sort(splits); |
| | | |
| | | // 构建有效段 |
| | | List<LineRange> validRanges = new ArrayList<>(); |
| | | for (int i = 0; i < splitPoints.size() - 1; i++) { |
| | | double midX = (splitPoints.get(i) + splitPoints.get(i + 1)) / 2.0; |
| | | Point midPoint = rotatePoint(new Point(midX, y), angle); |
| | | |
| | | boolean insideAnyObstacle = false; |
| | | for (Obstacle obs : obstacles) { |
| | | if (obs.isInside(midPoint)) { |
| | | insideAnyObstacle = true; |
| | | break; |
| | | } |
| | | } |
| | | if (!insideAnyObstacle) { |
| | | validRanges.add(new LineRange(splitPoints.get(i), splitPoints.get(i+1))); |
| | | // 构建本行候选段 |
| | | List<Double[]> 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}); |
| | | } |
| | | } |
| | | |
| | | // 根据当前朝向排序有效段 |
| | | // 根据当前S型方向排序 |
| | | if (!leftToRight) { |
| | | Collections.reverse(validRanges); |
| | | for (LineRange range : validRanges) { |
| | | double temp = range.start; |
| | | range.start = range.end; |
| | | range.end = temp; |
| | | } |
| | | Collections.reverse(rowSegments); |
| | | for (Double[] seg : rowSegments) { double t = seg[0]; seg[0] = seg[1]; seg[1] = t; } |
| | | } |
| | | |
| | | // 连接路径 |
| | | for (LineRange range : validRanges) { |
| | | Point pStart = rotatePoint(new Point(range.start, y), angle); |
| | | Point pEnd = rotatePoint(new Point(range.end, y), angle); |
| | | // 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); |
| | | |
| | | if (Math.hypot(currentPos.x - pStart.x, currentPos.y - pStart.y) > 0.01) { |
| | | result.add(new PathSegment(currentPos, pStart, false)); |
| | | // 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(pStart, pEnd, true)); |
| | | currentPos = pEnd; |
| | | result.add(new PathSegment(p1, p2, true)); |
| | | currentPos = p2; |
| | | } |
| | | leftToRight = !leftToRight; |
| | | } |
| | | return result; |
| | | } |
| | | |
| | | private static class LineRange { |
| | | double start, end; |
| | | LineRange(double s, double e) { this.start = s; this.end = e; } |
| | | private static boolean isPointInAnyObstacle(Point p, List<Obstacle> obstacles) { |
| | | for (Obstacle obs : obstacles) if (obs.isInside(p)) return true; |
| | | return false; |
| | | } |
| | | |
| | | // --- 障碍物解析与多边形外扩 --- |
| | | 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<Obstacle> parseObstacles(String obsStr, double margin) { |
| | | List<Obstacle> list = new ArrayList<>(); |
| | | if (obsStr == null || obsStr.trim().isEmpty()) return list; |
| | | |
| | | if (obsStr == null || obsStr.isEmpty()) return list; |
| | | for (String part : obsStr.split("\\$")) { |
| | | List<Point> pts = parseCoords(part); |
| | | if (pts.size() == 2) { |
| | | double r = Math.hypot(pts.get(0).x - pts.get(1).x, pts.get(0).y - pts.get(1).y); |
| | | 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); |
| | |
| | | } |
| | | |
| | | private static List<Point> expandPolygon(List<Point> poly, double margin) { |
| | | List<Point> result = new ArrayList<>(); |
| | | List<Point> res = new ArrayList<>(); |
| | | int n = poly.size(); |
| | | for (int i = 0; i < n; i++) { |
| | | Point pPrev = poly.get((i - 1 + n) % n); |
| | | Point pCurr = poly.get(i); |
| | | Point pNext = poly.get((i + 1) % n); |
| | | |
| | | double d1x = pCurr.x - pPrev.x, d1y = pCurr.y - pPrev.y; |
| | | double l1 = Math.hypot(d1x, d1y); |
| | | double d2x = pNext.x - pCurr.x, d2y = pNext.y - pCurr.y; |
| | | double l2 = Math.hypot(d2x, d2y); |
| | | |
| | | // 计算外法线 |
| | | 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 cosHalf = n1x * bx + n1y * by; |
| | | double d = margin / Math.max(cosHalf, 0.1); |
| | | // 限制最大外扩,防止尖角畸变 |
| | | d = Math.min(d, margin * 3); |
| | | result.add(new Point(pCurr.x + bx * d, pCurr.y + by * d)); |
| | | 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 result; |
| | | return res; |
| | | } |
| | | |
| | | // --- 基础工具类方法 --- |
| | | private static List<Point> parseCoords(String s) { |
| | | List<Point> list = new ArrayList<>(); |
| | | if(s == null || s.isEmpty()) return list; |
| | | 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]))); |
| | |
| | | if (s > 0) Collections.reverse(poly); |
| | | } |
| | | |
| | | private static List<Point> shrinkPolygon(List<Point> polygon, double margin) { |
| | | List<Point> result = new ArrayList<>(); |
| | | int n = polygon.size(); |
| | | private static List<Point> shrinkPolygon(List<Point> poly, double margin) { |
| | | List<Point> res = new ArrayList<>(); |
| | | int n = poly.size(); |
| | | for (int i = 0; i < n; i++) { |
| | | Point pPrev = polygon.get((i - 1 + n) % n); |
| | | Point pCurr = polygon.get(i); |
| | | Point pNext = polygon.get((i + 1) % n); |
| | | double d1x = pCurr.x - pPrev.x, d1y = pCurr.y - pPrev.y; |
| | | double l1 = Math.hypot(d1x, d1y); |
| | | double d2x = pNext.x - pCurr.x, d2y = pNext.y - pCurr.y; |
| | | double l2 = Math.hypot(d2x, d2y); |
| | | 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 cosHalf = n1x * bx + n1y * by; |
| | | double d = margin / Math.max(cosHalf, 0.1); |
| | | result.add(new Point(pCurr.x + bx * d, pCurr.y + by * d)); |
| | | double d = margin / Math.max(n1x * bx + n1y * by, 0.1); |
| | | res.add(new Point(p2.x + bx * d, p2.y + by * d)); |
| | | } |
| | | return result; |
| | | return res; |
| | | } |
| | | |
| | | private static double findOptimalScanAngle(List<Point> polygon) { |
| | | private static double findOptimalScanAngle(List<Point> poly) { |
| | | double minH = Double.MAX_VALUE, bestA = 0; |
| | | for (int i = 0; i < polygon.size(); i++) { |
| | | Point p1 = polygon.get(i), p2 = polygon.get((i + 1) % polygon.size()); |
| | | double angle = Math.atan2(p2.y - p1.y, p2.x - p1.x); |
| | | double h = calculatePolygonHeightAtAngle(polygon, angle); |
| | | if (h < minH) { minH = h; bestA = angle; } |
| | | 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 double calculatePolygonHeightAtAngle(List<Point> poly, double angle) { |
| | | double minY = Double.MAX_VALUE, maxY = -Double.MAX_VALUE; |
| | | double sin = Math.sin(-angle), cos = Math.cos(-angle); |
| | | for (Point p : poly) { |
| | | double ry = p.x * sin + p.y * cos; |
| | | minY = Math.min(minY, ry); maxY = Math.max(maxY, ry); |
| | | } |
| | | return maxY - minY; |
| | | } |
| | | |
| | | private static List<Double> getXIntersections(List<Point> rotatedPoly, double y) { |
| | | List<Double> xInts = new ArrayList<>(); |
| | | int n = rotatedPoly.size(); |
| | | for (int i = 0; i < n; i++) { |
| | | Point p1 = rotatedPoly.get(i), p2 = rotatedPoly.get((i + 1) % n); |
| | | 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<Point> polygon, double angle, double width) { |
| | | List<Point> rotated = rotatePolygon(polygon, -angle); |
| | | private static Point getFirstScanStartPoint(List<Point> poly, double angle, double width) { |
| | | List<Point> rot = rotatePolygon(poly, -angle); |
| | | double minY = Double.MAX_VALUE; |
| | | for (Point p : rotated) minY = Math.min(minY, p.y); |
| | | double startY = minY + width + EPSILON; |
| | | List<Double> xInts = getXIntersections(rotated, startY); |
| | | if (xInts.isEmpty()) return polygon.get(0); |
| | | Collections.sort(xInts); |
| | | return rotatePoint(new Point(xInts.get(0), startY), angle); |
| | | for (Point p : rot) minY = Math.min(minY, p.y); |
| | | double sy = minY + width + EPSILON; |
| | | List<Double> x = getXIntersections(rot, sy); |
| | | Collections.sort(x); |
| | | return rotatePoint(new Point(x.isEmpty() ? 0 : x.get(0), sy), angle); |
| | | } |
| | | |
| | | private static List<Point> alignBoundaryToStart(List<Point> polygon, Point target) { |
| | | int bestIdx = 0; double minDist = Double.MAX_VALUE; |
| | | for (int i = 0; i < polygon.size(); i++) { |
| | | double d = Math.hypot(polygon.get(i).x - target.x, polygon.get(i).y - target.y); |
| | | if (d < minDist) { minDist = d; bestIdx = i; } |
| | | private static List<Point> alignBoundaryToStart(List<Point> 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<Point> aligned = new ArrayList<>(); |
| | | for (int i = 0; i < polygon.size(); i++) aligned.add(polygon.get((bestIdx + i) % polygon.size())); |
| | | return aligned; |
| | | List<Point> 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 angle) { |
| | | double c = Math.cos(angle), s = Math.sin(angle); |
| | | 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<Point> rotatePolygon(List<Point> poly, double angle) { |
| | | private static List<Point> rotatePolygon(List<Point> poly, double a) { |
| | | List<Point> res = new ArrayList<>(); |
| | | for (Point p : poly) res.add(rotatePoint(p, angle)); |
| | | for (Point p : poly) res.add(rotatePoint(p, a)); |
| | | return res; |
| | | } |
| | | } |