| | |
| | | package lujing; |
| | | |
| | | import java.util.*; |
| | | import java.util.Set; |
| | | import java.util.HashSet; |
| | | |
| | | /** |
| | | * 异形草地路径规划 - 凹多边形兼容优化版 V5.0 |
| | |
| | | |
| | | finalPath.addAll(scanPath); |
| | | |
| | | // 8. 格式化坐标:保留两位小数 |
| | | for (PathSegment segment : finalPath) { |
| | | segment.start.x = Math.round(segment.start.x * 100.0) / 100.0; |
| | | segment.start.y = Math.round(segment.start.y * 100.0) / 100.0; |
| | | segment.end.x = Math.round(segment.end.x * 100.0) / 100.0; |
| | | segment.end.y = Math.round(segment.end.y * 100.0) / 100.0; |
| | | } |
| | | |
| | | return finalPath; |
| | | } |
| | | |
| | |
| | | for (PathSegment s : lineSegmentsInRow) { |
| | | if (Math.hypot(currentPos.x - s.start.x, currentPos.y - s.start.y) > 0.01) { |
| | | // 如果间距大于1cm,添加空走路径 |
| | | segments.add(new PathSegment(currentPos, s.start, false)); |
| | | addSafeConnection(segments, currentPos, s.start, polygon); |
| | | } |
| | | segments.add(s); |
| | | currentPos = s.end; |
| | |
| | | |
| | | private static List<Double> getXIntersections(List<Point> rotatedPoly, double y) { |
| | | List<Double> xIntersections = new ArrayList<>(); |
| | | double tolerance = 1e-6; |
| | | |
| | | for (int i = 0; i < rotatedPoly.size(); i++) { |
| | | Point p1 = rotatedPoly.get(i); |
| | | Point p2 = rotatedPoly.get((i + 1) % rotatedPoly.size()); |
| | | if ((p1.y <= y && p2.y > y) || (p2.y <= y && p1.y > y)) { |
| | | |
| | | // 跳过水平边(避免与扫描线重合时的特殊情况) |
| | | if (Math.abs(p1.y - p2.y) < tolerance) { |
| | | continue; |
| | | } |
| | | |
| | | // 检查是否相交(使用严格不等式避免顶点重复) |
| | | if ((p1.y < y && p2.y >= y) || (p2.y < y && p1.y >= y)) { |
| | | double x = p1.x + (y - p1.y) * (p2.x - p1.x) / (p2.y - p1.y); |
| | | xIntersections.add(x); |
| | | // 简单去重:检查是否已存在相近的点 |
| | | boolean isDuplicate = false; |
| | | for (double existingX : xIntersections) { |
| | | if (Math.abs(x - existingX) < tolerance) { |
| | | isDuplicate = true; |
| | | break; |
| | | } |
| | | } |
| | | if (!isDuplicate) { |
| | | xIntersections.add(x); |
| | | } |
| | | } |
| | | } |
| | | return xIntersections; |
| | |
| | | return maxY - minY; |
| | | } |
| | | |
| | | private static List<Point> getInsetPolygon(List<Point> points, double margin) { |
| | | public static List<Point> getInsetPolygon(List<Point> points, double margin) { |
| | | List<Point> result = new ArrayList<>(); |
| | | int n = points.size(); |
| | | for (int i = 0; i < n; i++) { |
| | |
| | | return result; |
| | | } |
| | | |
| | | private static void addSafeConnection(List<PathSegment> segments, Point start, Point end, List<Point> polygon) { |
| | | if (isSegmentSafe(start, end, polygon)) { |
| | | segments.add(new PathSegment(start, end, false)); |
| | | } else { |
| | | List<Point> path = getBoundaryPath(start, end, polygon); |
| | | for (int i = 0; i < path.size() - 1; i++) { |
| | | segments.add(new PathSegment(path.get(i), path.get(i+1), false)); |
| | | } |
| | | } |
| | | } |
| | | |
| | | private static boolean isSegmentSafe(Point p1, Point p2, List<Point> polygon) { |
| | | Point mid = new Point((p1.x + p2.x) / 2, (p1.y + p2.y) / 2); |
| | | if (!isPointInPolygon(mid, polygon)) return false; |
| | | |
| | | for (int i = 0; i < polygon.size(); i++) { |
| | | Point a = polygon.get(i); |
| | | Point b = polygon.get((i + 1) % polygon.size()); |
| | | if (isSamePoint(p1, a) || isSamePoint(p1, b) || isSamePoint(p2, a) || isSamePoint(p2, b)) continue; |
| | | if (segmentsIntersect(p1, p2, a, b)) return false; |
| | | } |
| | | return true; |
| | | } |
| | | |
| | | private static boolean isSamePoint(Point a, Point b) { |
| | | return Math.abs(a.x - b.x) < 1e-4 && Math.abs(a.y - b.y) < 1e-4; |
| | | } |
| | | |
| | | private static boolean segmentsIntersect(Point a, Point b, Point c, Point d) { |
| | | return ccw(a, c, d) != ccw(b, c, d) && ccw(a, b, c) != ccw(a, b, d); |
| | | } |
| | | |
| | | private static boolean ccw(Point a, Point b, Point c) { |
| | | return (c.y - a.y) * (b.x - a.x) > (b.y - a.y) * (c.x - a.x); |
| | | } |
| | | |
| | | private static boolean isPointInPolygon(Point p, List<Point> polygon) { |
| | | boolean result = false; |
| | | for (int i = 0, j = polygon.size() - 1; i < polygon.size(); j = i++) { |
| | | if ((polygon.get(i).y > p.y) != (polygon.get(j).y > p.y) && |
| | | (p.x < (polygon.get(j).x - polygon.get(i).x) * (p.y - polygon.get(i).y) / (polygon.get(j).y - polygon.get(i).y) + polygon.get(i).x)) { |
| | | result = !result; |
| | | } |
| | | } |
| | | return result; |
| | | } |
| | | |
| | | private static List<Point> getBoundaryPath(Point start, Point end, List<Point> polygon) { |
| | | int idx1 = getEdgeIndex(start, polygon); |
| | | int idx2 = getEdgeIndex(end, polygon); |
| | | |
| | | if (idx1 == -1 || idx2 == -1 || idx1 == idx2) { |
| | | return Arrays.asList(start, end); |
| | | } |
| | | |
| | | List<Point> path1 = new ArrayList<>(); |
| | | path1.add(start); |
| | | int curr = idx1; |
| | | while (curr != idx2) { |
| | | path1.add(polygon.get((curr + 1) % polygon.size())); |
| | | curr = (curr + 1) % polygon.size(); |
| | | } |
| | | path1.add(end); |
| | | |
| | | List<Point> pathRev = new ArrayList<>(); |
| | | pathRev.add(start); |
| | | curr = idx1; |
| | | while (curr != idx2) { |
| | | pathRev.add(polygon.get(curr)); |
| | | curr = (curr - 1 + polygon.size()) % polygon.size(); |
| | | } |
| | | pathRev.add(polygon.get((idx2 + 1) % polygon.size())); |
| | | pathRev.add(end); |
| | | |
| | | return getPathLength(path1) < getPathLength(pathRev) ? path1 : pathRev; |
| | | } |
| | | |
| | | private static double getPathLength(List<Point> path) { |
| | | double len = 0; |
| | | for (int i = 0; i < path.size() - 1; i++) { |
| | | len += Math.hypot(path.get(i).x - path.get(i+1).x, path.get(i).y - path.get(i+1).y); |
| | | } |
| | | return len; |
| | | } |
| | | |
| | | private static int getEdgeIndex(Point p, List<Point> poly) { |
| | | for (int i = 0; i < poly.size(); i++) { |
| | | Point p1 = poly.get(i); |
| | | Point p2 = poly.get((i + 1) % poly.size()); |
| | | if (distToSegment(p, p1, p2) < 1e-3) return i; |
| | | } |
| | | return -1; |
| | | } |
| | | |
| | | private static double distToSegment(Point p, Point s, Point e) { |
| | | double l2 = (s.x - e.x)*(s.x - e.x) + (s.y - e.y)*(s.y - e.y); |
| | | if (l2 == 0) return Math.hypot(p.x - s.x, p.y - s.y); |
| | | double t = ((p.x - s.x) * (e.x - s.x) + (p.y - s.y) * (e.y - s.y)) / l2; |
| | | t = Math.max(0, Math.min(1, t)); |
| | | return Math.hypot(p.x - (s.x + t * (e.x - s.x)), p.y - (s.y + t * (e.y - s.y))); |
| | | } |
| | | |
| | | private static Point rotatePoint(Point p, double angle) { |
| | | double cos = Math.cos(angle), sin = Math.sin(angle); |
| | | return new Point(p.x * cos - p.y * sin, p.x * sin + p.y * cos); |
| | | } |
| | | |
| | | private static void ensureCounterClockwise(List<Point> points) { |
| | | public static void ensureCounterClockwise(List<Point> points) { |
| | | double sum = 0; |
| | | for (int i = 0; i < points.size(); i++) { |
| | | Point p1 = points.get(i), p2 = points.get((i + 1) % points.size()); |