From 7881cef5c3dcea8e6037101db2c3eeb2fd3ba5da Mon Sep 17 00:00:00 2001
From: 826220679@qq.com <826220679@qq.com>
Date: 星期六, 27 十二月 2025 23:42:36 +0800
Subject: [PATCH] 1211

---
 src/lujing/YixinglujingHaveObstacel.java |  898 +++++++++++++++++++++++++++++++++++++++++------------------
 1 files changed, 615 insertions(+), 283 deletions(-)

diff --git a/src/lujing/YixinglujingHaveObstacel.java b/src/lujing/YixinglujingHaveObstacel.java
index 2a36445..6a14dc4 100644
--- a/src/lujing/YixinglujingHaveObstacel.java
+++ b/src/lujing/YixinglujingHaveObstacel.java
@@ -1,337 +1,664 @@
 package lujing;
+import java.util.*;
 
-import java.util.ArrayList;
-import java.util.Arrays;
-import java.util.Collections;
-import java.util.List;
 
 /**
- * 寮傚舰鑽夊湴璺緞瑙勫垝 - 閬块殰澧炲己鐗� V7.0
- * 浼樺寲锛氬鍔犱簡澶氳竟褰㈠鎵╃ǔ瀹氭�с�侀殰纰嶇墿纰版挒棰勫垽浠ュ強鍐椾綑璺緞娑堥櫎銆�
+ * 寮傚舰鑽夊湴璺緞瑙勫垝 - 鍚殰纰嶇墿鐗�
+ * 鍔熻兘锛氬湪鍦板潡鍐呴儴閬垮紑闅滅鐗╋紝鐢熸垚杩炵画寮撳瓧褰㈠壊鑽夎矾寰�
  */
 public class YixinglujingHaveObstacel {
-
-    public static List<PathSegment> planPath(String coordinates, String obstaclesStr, String widthStr, String marginStr) {
+    
+    public static List<PathSegment> planPath(String coordinates, String obstaclesStr, 
+                                            String widthStr, String marginStr) {
+        // 1. 瑙f瀽鍙傛暟
         List<Point> rawPoints = parseCoordinates(coordinates);
         if (rawPoints.size() < 3) return new ArrayList<>();
-
+        
         double mowWidth = Double.parseDouble(widthStr);
         double safeMargin = Double.parseDouble(marginStr);
-
-        // 1. 棰勫鐞嗗湴鍧楋紙纭繚閫嗘椂閽堬級
+        
+        // 瑙f瀽闅滅鐗�
+        List<Obstacle> obstacles = parseObstacles(obstaclesStr);
+        
+        // 2. 棰勫鐞嗭細纭繚杈圭晫閫嗘椂閽�
         ensureCounterClockwise(rawPoints);
-        List<Point> boundary = getOffsetPolygon(rawPoints, -safeMargin); // 鍐呯缉
+        
+        // 3. 鐢熸垚鍐呯缉澶氳竟褰紙瀹夊叏杈圭晫锛�
+        List<Point> boundary = getInsetPolygon(rawPoints, safeMargin);
         if (boundary.size() < 3) return new ArrayList<>();
-
-        // 2. 瑙勫垝鍩虹璺緞 (鏃犻殰纰嶇墿鐘舵��)
+        
+        // 4. 澶栨墿闅滅鐗╋紙瀹夊叏杈硅窛锛�
+        List<Obstacle> expandedObstacles = expandObstacles(obstacles, safeMargin);
+        
+        // 5. 纭畾鏈�浼樹綔涓氳搴�
         double bestAngle = findOptimalAngle(boundary);
+        
+        // 6. 鑾峰彇棣栦釜浣滀笟鐐癸紝鐢ㄤ簬瀵归綈鍥磋竟璧风偣
         Point firstScanStart = getFirstScanPoint(boundary, mowWidth, bestAngle);
+        
+        // 7. 瀵归綈鍥磋竟
         List<Point> alignedBoundary = alignBoundaryStart(boundary, firstScanStart);
-
-        List<PathSegment> baseLines = new ArrayList<>();
-        // 绗竴闃舵锛氬洿杈�
+        
+        // 8. 绗竴闃舵锛氬洿杈硅矾寰�
+        List<PathSegment> finalPath = new ArrayList<>();
         for (int i = 0; i < alignedBoundary.size(); i++) {
-            baseLines.add(new PathSegment(alignedBoundary.get(i), alignedBoundary.get((i + 1) % alignedBoundary.size()), true));
+            Point pStart = alignedBoundary.get(i);
+            Point pEnd = alignedBoundary.get((i + 1) % alignedBoundary.size());
+            finalPath.add(new PathSegment(pStart, pEnd, true));
         }
-        // 绗簩闃舵锛氬唴閮ㄦ壂鎻�
+        
+        // 9. 绗簩闃舵锛氱敓鎴愬唴閮ㄦ壂鎻忚矾寰勶紙鑰冭檻闅滅鐗╋級
         Point lastEdgePos = alignedBoundary.get(0);
-        baseLines.addAll(generateGlobalScanPath(boundary, mowWidth, bestAngle, lastEdgePos));
-
-        // 3. 澶勭悊闅滅鐗╋細瑙f瀽骞舵墽琛屽鎵� (闅滅鐗╅渶鍚戝鎵� margin)
-        List<Obstacle> obstacles = parseObstacles(obstaclesStr, safeMargin);
-
-        // 4. 璺緞瑁佸壀涓庝紭鍖栬繛鎺�
-        return optimizeAndClipPath(baseLines, obstacles);
-    }
-
-    private static List<PathSegment> optimizeAndClipPath(List<PathSegment> originalPath, List<Obstacle> obstacles) {
-        List<PathSegment> result = new ArrayList<>();
-        Point currentPos = null;
-
-        for (PathSegment segment : originalPath) {
-            List<PathSegment> clipped = new ArrayList<>();
-            clipped.add(segment);
-
-            for (Obstacle obs : obstacles) {
-                List<PathSegment> nextIter = new ArrayList<>();
-                for (PathSegment s : clipped) {
-                    nextIter.addAll(obs.clipSegment(s));
-                }
-                clipped = nextIter;
-            }
-
-            for (PathSegment s : clipped) {
-                // 浼樺寲鐐癸細娑堥櫎闀垮害鍑犱箮涓�0鐨勬棤鏁堢嚎娈�
-                if (Math.hypot(s.start.x - s.end.x, s.start.y - s.end.y) < 1e-4) continue;
-
-                if (currentPos != null && Math.hypot(currentPos.x - s.start.x, currentPos.y - s.start.y) > 0.01) {
-                    // 娣诲姞绌鸿浇璺緞
-                    result.add(new PathSegment(currentPos, s.start, false));
-                }
-                result.add(s);
-                currentPos = s.end;
-            }
+        List<PathSegment> scanPath = generateGlobalScanPathWithObstacles(
+            boundary, expandedObstacles, mowWidth, bestAngle, lastEdgePos);
+        
+        finalPath.addAll(scanPath);
+        
+        // 10. 鏍煎紡鍖栧潗鏍囷細淇濈暀涓や綅灏忔暟
+        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 result;
+        
+        // 11. 鎵撳嵃杈撳嚭璺緞鍧愭爣
+        printPathCoordinates(finalPath);
+        
+        return finalPath;
     }
-
-    // --- 闅滅鐗╂ā鍨� ---
-    abstract static class Obstacle {
-        abstract boolean isInside(Point p);
-        abstract List<PathSegment> clipSegment(PathSegment seg);
-    }
-
-    static class PolyObstacle extends Obstacle {
-        List<Point> points;
-        double minX, maxX, minY, maxY;
-
-        public PolyObstacle(List<Point> pts) {
-            this.points = pts;
-            // 棰勮绠� AABB 杈圭晫妗嗘彁鍗囨晥鐜�
-            minX = minY = Double.MAX_VALUE;
-            maxX = maxY = -Double.MAX_VALUE;
-            for (Point p : pts) {
-                minX = Math.min(minX, p.x); maxX = Math.max(maxX, p.x);
-                minY = Math.min(minY, p.y); maxY = Math.max(maxY, p.y);
-            }
-        }
-
-        @Override
-        boolean isInside(Point p) {
-            if (p.x < minX || p.x > maxX || p.y < minY || p.y > maxY) return false;
-            boolean inside = 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)) {
-                    inside = !inside;
-                }
-            }
-            return inside;
-        }
-
-        @Override
-        List<PathSegment> clipSegment(PathSegment seg) {
-            List<Double> ts = new ArrayList<>(Arrays.asList(0.0, 1.0));
-            for (int i = 0; i < points.size(); i++) {
-                double t = getIntersectionT(seg.start, seg.end, points.get(i), points.get((i + 1) % points.size()));
-                if (t > 0 && t < 1) ts.add(t);
-            }
-            Collections.sort(ts);
-            List<PathSegment> res = new ArrayList<>();
-            for (int i = 0; i < ts.size() - 1; i++) {
-                Point s = interpolate(seg.start, seg.end, ts.get(i));
-                Point e = interpolate(seg.start, seg.end, ts.get(i + 1));
-                if (!isInside(new Point((s.x + e.x) / 2, (s.y + e.y) / 2))) {
-                    res.add(new PathSegment(s, e, seg.isMowing));
-                }
-            }
-            return res;
-        }
-    }
-
-    static class CircleObstacle extends Obstacle {
-        Point center; double radius;
-        public CircleObstacle(Point c, double r) { this.center = c; this.radius = r; }
-
-        @Override
-        boolean isInside(Point p) { return Math.hypot(p.x - center.x, p.y - center.y) < radius - 1e-4; }
-
-        @Override
-        List<PathSegment> clipSegment(PathSegment seg) {
-            List<Double> ts = new ArrayList<>(Arrays.asList(0.0, 1.0));
-            double dx = seg.end.x - seg.start.x, dy = seg.end.y - seg.start.y;
-            double fx = seg.start.x - center.x, fy = seg.start.y - center.y;
-            double a = dx * dx + dy * dy;
-            double b = 2 * (fx * dx + fy * dy);
-            double c = fx * fx + fy * fy - radius * radius;
-            double disc = b * b - 4 * a * c;
-            if (disc >= 0) {
-                disc = Math.sqrt(disc);
-                double t1 = (-b - disc) / (2 * a), t2 = (-b + disc) / (2 * a);
-                if (t1 > 0 && t1 < 1) ts.add(t1);
-                if (t2 > 0 && t2 < 1) ts.add(t2);
-            }
-            Collections.sort(ts);
-            List<PathSegment> res = new ArrayList<>();
-            for (int i = 0; i < ts.size() - 1; i++) {
-                Point s = interpolate(seg.start, seg.end, ts.get(i));
-                Point e = interpolate(seg.start, seg.end, ts.get(i + 1));
-                if (!isInside(new Point((s.x + e.x) / 2, (s.y + e.y) / 2))) res.add(new PathSegment(s, e, seg.isMowing));
-            }
-            return res;
-        }
-    }
-
-    // --- 绠楁硶宸ュ叿绫� ---
-
-    private static List<Obstacle> parseObstacles(String obsStr, double margin) {
-        List<Obstacle> obstacles = new ArrayList<>();
-        if (obsStr == null || obsStr.trim().isEmpty()) return obstacles;
-        for (String group : obsStr.split("\\$")) {
-            List<Point> pts = parseCoordinates(group);
-            if (pts.size() == 2) {
-                double r = Math.hypot(pts.get(0).x - pts.get(1).x, pts.get(0).y - pts.get(1).y);
-                obstacles.add(new CircleObstacle(pts.get(0), r + margin));
-            } else if (pts.size() > 2) {
-                ensureCounterClockwise(pts);
-                // 澶氳竟褰㈠鎵╋細offset 涓烘
-                obstacles.add(new PolyObstacle(getOffsetPolygon(pts, margin)));
-            }
-        }
-        return obstacles;
-    }
-
+    
     /**
-     * 浼樺寲鍚庣殑澶氳竟褰㈠鎵�/鍐呯缉绠楁硶
-     * @param offset 姝f暟涓哄鎵╋紝璐熸暟涓哄唴缂�
+     * 鐢熸垚甯﹂殰纰嶇墿鐨勬壂鎻忚矾寰�
      */
-    private static List<Point> getOffsetPolygon(List<Point> points, double offset) {
-        List<Point> result = new ArrayList<>();
-        int n = points.size();
-        for (int i = 0; i < n; i++) {
-            Point p1 = points.get((i - 1 + n) % n), p2 = points.get(i), p3 = points.get((i + 1) % n);
+    private static List<PathSegment> generateGlobalScanPathWithObstacles(
+            List<Point> polygon, List<Obstacle> obstacles, 
+            double width, double angle, Point startPos) {
+        
+        // 1. 鐢熸垚鍘熷鎵弿绾匡紙鏃犻殰纰嶇墿锛�
+        List<PathSegment> originalSegments = generateGlobalScanPath(polygon, width, angle, startPos);
+        
+        // 2. 绉婚櫎鍦ㄩ殰纰嶇墿鍐呴儴鐨勭嚎娈�
+        List<PathSegment> remainingSegments = new ArrayList<>();
+        for (PathSegment seg : originalSegments) {
+            if (!seg.isMowing) {
+                // 绌鸿蛋娈电洿鎺ヤ繚鐣�
+                remainingSegments.add(seg);
+                continue;
+            }
             
-            double v1x = p2.x - p1.x, v1y = p2.y - p1.y;
-            double v2x = p3.x - p2.x, v2y = p3.y - p2.y;
-            double l1 = Math.hypot(v1x, v1y), l2 = Math.hypot(v2x, v2y);
+            // 灏嗗壊鑽夋涓庢墍鏈夐殰纰嶇墿杩涜瑁佸壀
+            List<PathSegment> clippedSegments = new ArrayList<>();
+            clippedSegments.add(seg);
             
-            if (l1 < 1e-6 || l2 < 1e-6) continue;
-
-            // 娉曞悜閲�
-            double n1x = -v1y / l1, n1y = v1x / l1;
-            double n2x = -v2y / l2, n2y = v2x / l2;
-
-            // 瑙掑钩鍒嗙嚎
-            double bx = n1x + n2x, by = n1y + n2y;
-            double bl = Math.hypot(bx, by);
-            if (bl < 1e-6) { bx = n1x; by = n1y; } else { bx /= bl; by /= bl; }
-
-            // 淇璺濈
-            double sinHalf = n1x * bx + n1y * by;
-            double d = offset / Math.max(sinHalf, 0.1);
-            result.add(new Point(p2.x + bx * d, p2.y + by * d));
+            for (Obstacle obs : obstacles) {
+                List<PathSegment> newSegments = new ArrayList<>();
+                for (PathSegment s : clippedSegments) {
+                    newSegments.addAll(clipSegmentWithObstacle(s, obs));
+                }
+                clippedSegments = newSegments;
+            }
+            
+            remainingSegments.addAll(clippedSegments);
         }
+        
+        // 3. 閲嶆柊杩炴帴璺緞娈碉紙寮撳瓧褰㈣繛鎺ワ級
+        return reconnectSegments(remainingSegments);
+    }
+    
+    /**
+     * 灏嗙嚎娈典笌闅滅鐗╄繘琛岃鍓�
+     * 杩斿洖涓嶅湪闅滅鐗╁唴閮ㄧ殑瀛愮嚎娈�
+     */
+    private static List<PathSegment> clipSegmentWithObstacle(PathSegment segment, Obstacle obstacle) {
+        List<PathSegment> result = new ArrayList<>();
+        
+        // 妫�鏌ョ嚎娈垫槸鍚﹀畬鍏ㄥ湪闅滅鐗╁閮�
+        boolean startInside = obstacle.contains(segment.start);
+        boolean endInside = obstacle.contains(segment.end);
+        
+        if (!startInside && !endInside) {
+            // 绾挎涓ょ閮藉湪澶栭儴锛屾鏌ユ槸鍚︾┛杩囬殰纰嶇墿
+            List<Point> intersections = obstacle.getIntersections(segment);
+            if (intersections.isEmpty()) {
+                // 瀹屽叏鍦ㄥ閮�
+                result.add(segment);
+            } else {
+                // 绌胯繃闅滅鐗╋紝鍒嗗壊绾挎
+                intersections.sort(Comparator.comparingDouble(p -> 
+                    distance(segment.start, p)));
+                
+                Point prevPoint = segment.start;
+                for (Point inter : intersections) {
+                    result.add(new PathSegment(prevPoint, inter, true));
+                    prevPoint = inter;
+                }
+                result.add(new PathSegment(prevPoint, segment.end, true));
+                
+                // 绉婚櫎鍦ㄩ殰纰嶇墿鍐呴儴鐨勬锛堝鏁扮储寮曠殑娈碉級
+                List<PathSegment> filtered = new ArrayList<>();
+                for (int i = 0; i < result.size(); i++) {
+                    PathSegment s = result.get(i);
+                    Point midPoint = new Point(
+                        (s.start.x + s.end.x) / 2,
+                        (s.start.y + s.end.y) / 2
+                    );
+                    if (!obstacle.contains(midPoint)) {
+                        filtered.add(s);
+                    }
+                }
+                return filtered;
+            }
+        } else if (startInside && endInside) {
+            // 瀹屽叏鍦ㄥ唴閮紝涓㈠純
+            return result;
+        } else {
+            // 涓�绔湪鍐呴儴锛屼竴绔湪澶栭儴
+            Point insidePoint = startInside ? segment.start : segment.end;
+            Point outsidePoint = startInside ? segment.end : segment.start;
+            
+            List<Point> intersections = obstacle.getIntersections(segment);
+            if (!intersections.isEmpty()) {
+                // 鍙栫澶栭儴鐐规渶杩戠殑浜ょ偣
+                intersections.sort(Comparator.comparingDouble(p -> 
+                    distance(outsidePoint, p)));
+                Point inter = intersections.get(0);
+                
+                // 鍙繚鐣欏閮ㄩ儴鍒�
+                if (startInside) {
+                    result.add(new PathSegment(inter, outsidePoint, true));
+                } else {
+                    result.add(new PathSegment(outsidePoint, inter, true));
+                }
+            }
+        }
+        
         return result;
     }
-
-    private static List<PathSegment> generateGlobalScanPath(List<Point> polygon, double width, double angle, Point currentPos) {
+    
+    /**
+     * 閲嶆柊杩炴帴璺緞娈碉紝褰㈡垚杩炵画寮撳瓧褰㈣矾寰�
+     */
+    private static List<PathSegment> reconnectSegments(List<PathSegment> segments) {
+        if (segments.isEmpty()) return new ArrayList<>();
+        
+        List<PathSegment> reconnected = new ArrayList<>();
+        Point currentPos = segments.get(0).start;
+        
+        for (PathSegment seg : segments) {
+            if (seg.isMowing) {
+                // 鍓茶崏娈碉細妫�鏌ユ槸鍚﹂渶瑕佹坊鍔犵┖璧版
+                if (distance(currentPos, seg.start) > 0.01) {
+                    reconnected.add(new PathSegment(currentPos, seg.start, false));
+                }
+                reconnected.add(seg);
+                currentPos = seg.end;
+            } else {
+                // 绌鸿蛋娈电洿鎺ユ坊鍔�
+                reconnected.add(seg);
+                currentPos = seg.end;
+            }
+        }
+        
+        return reconnected;
+    }
+    
+    /**
+     * 鐢熸垚鍘熷鎵弿璺緞锛堟棤闅滅鐗╃増鏈級
+     */
+    private static List<PathSegment> generateGlobalScanPath(
+            List<Point> polygon, double width, double angle, Point currentPos) {
+        
         List<PathSegment> segments = new ArrayList<>();
-        List<Point> rotated = new ArrayList<>();
-        for (Point p : polygon) rotated.add(rotatePoint(p, -angle));
+        List<Point> rotatedPoly = new ArrayList<>();
+        for (Point p : polygon) rotatedPoly.add(rotatePoint(p, -angle));
         
         double minY = Double.MAX_VALUE, maxY = -Double.MAX_VALUE;
-        for (Point p : rotated) { minY = Math.min(minY, p.y); maxY = Math.max(maxY, p.y); }
-
-        boolean l2r = true;
+        for (Point p : rotatedPoly) {
+            minY = Math.min(minY, p.y);
+            maxY = Math.max(maxY, p.y);
+        }
+        
+        boolean leftToRight = true;
         for (double y = minY + width/2; y <= maxY - width/2; y += width) {
-            List<Double> xInters = getXIntersections(rotated, y);
-            if (xInters.size() < 2) continue;
-            Collections.sort(xInters);
-
-            List<PathSegment> row = new ArrayList<>();
-            for (int i = 0; i < xInters.size() - 1; i += 2) {
-                Point s = rotatePoint(new Point(xInters.get(i), y), angle);
-                Point e = rotatePoint(new Point(xInters.get(i + 1), y), angle);
-                row.add(new PathSegment(s, e, true));
+            List<Double> xIntersections = getXIntersections(rotatedPoly, y);
+            if (xIntersections.size() < 2) continue;
+            Collections.sort(xIntersections);
+            
+            List<PathSegment> lineSegmentsInRow = new ArrayList<>();
+            for (int i = 0; i < xIntersections.size() - 1; i += 2) {
+                Point pS = rotatePoint(new Point(xIntersections.get(i), y), angle);
+                Point pE = rotatePoint(new Point(xIntersections.get(i + 1), y), angle);
+                lineSegmentsInRow.add(new PathSegment(pS, pE, true));
             }
-            if (!l2r) {
-                Collections.reverse(row);
-                for (PathSegment s : row) { Point t = s.start; s.start = s.end; s.end = t; }
+            
+            if (!leftToRight) {
+                Collections.reverse(lineSegmentsInRow);
+                for (PathSegment s : lineSegmentsInRow) {
+                    Point temp = s.start;
+                    s.start = s.end;
+                    s.end = temp;
+                }
             }
-            for (PathSegment s : row) {
-                if (Math.hypot(currentPos.x - s.start.x, currentPos.y - s.start.y) > 0.01) {
+            
+            for (PathSegment s : lineSegmentsInRow) {
+                if (distance(currentPos, s.start) > 0.01) {
                     segments.add(new PathSegment(currentPos, s.start, false));
                 }
                 segments.add(s);
                 currentPos = s.end;
             }
-            l2r = !l2r;
+            leftToRight = !leftToRight;
         }
+        
         return segments;
     }
-
-    // --- 鍩虹鏁板鍑芥暟 ---
-    private static double getIntersectionT(Point a, Point b, Point c, Point d) {
-        double ux = b.x - a.x, uy = b.y - a.y, vx = d.x - c.x, vy = d.y - c.y;
-        double det = vx * uy - vy * ux;
-        if (Math.abs(det) < 1e-6) return -1;
-        return (vx * (c.y - a.y) - vy * (c.x - a.x)) / det;
-    }
-
-    private static Point interpolate(Point a, Point b, double t) {
-        return new Point(a.x + (b.x - a.x) * t, a.y + (b.y - a.y) * t);
-    }
-
-    private static Point rotatePoint(Point p, double ang) {
-        return new Point(p.x * Math.cos(ang) - p.y * Math.sin(ang), p.x * Math.sin(ang) + p.y * Math.cos(ang));
-    }
-
-    private static List<Double> getXIntersections(List<Point> poly, double y) {
-        List<Double> res = new ArrayList<>();
-        for (int i = 0; i < poly.size(); i++) {
-            Point p1 = poly.get(i), p2 = poly.get((i + 1) % poly.size());
-            if ((p1.y <= y && p2.y > y) || (p2.y <= y && p1.y > y)) {
-                res.add(p1.x + (y - p1.y) * (p2.x - p1.x) / (p2.y - p1.y));
+    
+    /**
+     * 瑙f瀽闅滅鐗╁瓧绗︿覆
+     * 鏍煎紡锛�"(x1,y1;x2,y2)(x1,y1;x2,y2;x3,y3)"
+     */
+    private static List<Obstacle> parseObstacles(String obstaclesStr) {
+        List<Obstacle> obstacles = new ArrayList<>();
+        if (obstaclesStr == null || obstaclesStr.trim().isEmpty()) {
+            return obstacles;
+        }
+        
+        String trimmed = obstaclesStr.trim();
+        List<String> obstacleStrs = new ArrayList<>();
+        
+        // 鍒嗗壊姣忎釜闅滅鐗╋紙鐢ㄦ嫭鍙峰垎闅旓級
+        int start = trimmed.indexOf('(');
+        while (start != -1) {
+            int end = trimmed.indexOf(')', start);
+            if (end == -1) break;
+            
+            String obsStr = trimmed.substring(start + 1, end);
+            obstacleStrs.add(obsStr);
+            start = trimmed.indexOf('(', end);
+        }
+        
+        // 瑙f瀽姣忎釜闅滅鐗�
+        for (String obsStr : obstacleStrs) {
+            List<Point> points = new ArrayList<>();
+            String[] pairs = obsStr.split(";");
+            
+            for (String pair : pairs) {
+                String[] xy = pair.split(",");
+                if (xy.length == 2) {
+                    points.add(new Point(
+                        Double.parseDouble(xy[0].trim()),
+                        Double.parseDouble(xy[1].trim())
+                    ));
+                }
+            }
+            
+            if (points.size() == 2) {
+                // 鍦嗗舰闅滅鐗╋細绗竴涓偣涓哄渾蹇冿紝绗簩涓偣涓哄渾涓婁竴鐐�
+                Point center = points.get(0);
+                Point onCircle = points.get(1);
+                double radius = distance(center, onCircle);
+                obstacles.add(new Obstacle(center, radius));
+            } else if (points.size() > 2) {
+                // 澶氳竟褰㈤殰纰嶇墿
+                obstacles.add(new Obstacle(points));
             }
         }
-        return res;
+        
+        return obstacles;
     }
-
-    private static Point getFirstScanPoint(List<Point> poly, double w, double a) {
-        List<Point> rot = new ArrayList<>();
-        for (Point p : poly) rot.add(rotatePoint(p, -a));
+    
+    /**
+     * 澶栨墿闅滅鐗╋紙澧炲姞瀹夊叏杈硅窛锛�
+     */
+    private static List<Obstacle> expandObstacles(List<Obstacle> obstacles, double margin) {
+        List<Obstacle> expanded = new ArrayList<>();
+        
+        for (Obstacle obs : obstacles) {
+            if (obs.isCircle()) {
+                // 鍦嗗舰锛氬崐寰勫鍔犲畨鍏ㄨ竟璺�
+                expanded.add(new Obstacle(obs.center, obs.radius + margin));
+            } else {
+                // 澶氳竟褰細鍚戝鍋忕Щ锛堜笌杈圭晫鍐呯缉鏂瑰悜鐩稿弽锛�
+                List<Point> expandedPoints = getOutsetPolygon(obs.points, margin);
+                expanded.add(new Obstacle(expandedPoints));
+            }
+        }
+        
+        return expanded;
+    }
+    
+    /**
+     * 澶氳竟褰㈠鎵╋紙涓庡唴缂╂柟鍚戠浉鍙嶏級
+     */
+    private static List<Point> getOutsetPolygon(List<Point> points, double margin) {
+        // 杩欓噷浣跨敤绠�鍖栫殑澶栨墿鏂规硶锛氭部娉曠嚎鍚戝绉诲姩
+        List<Point> outset = new ArrayList<>();
+        int n = points.size();
+        
+        for (int i = 0; i < n; i++) {
+            Point pPrev = points.get((i - 1 + n) % n);
+            Point pCurr = points.get(i);
+            Point pNext = points.get((i + 1) % n);
+            
+            // 璁$畻涓や釜杈圭殑鍚戦噺
+            double v1x = pCurr.x - pPrev.x, v1y = pCurr.y - pPrev.y;
+            double v2x = pNext.x - pCurr.x, v2y = pNext.y - pCurr.y;
+            
+            // 璁$畻娉曠嚎锛堢‘淇濆悜澶栵級
+            double nx1 = -v1y, ny1 = v1x;
+            double nx2 = -v2y, ny2 = v2x;
+            
+            // 褰掍竴鍖�
+            double len1 = Math.hypot(nx1, ny1);
+            double len2 = Math.hypot(nx2, ny2);
+            if (len1 > 1e-6) { nx1 /= len1; ny1 /= len1; }
+            if (len2 > 1e-6) { nx2 /= len2; ny2 /= len2; }
+            
+            // 璁$畻骞冲潎娉曠嚎鏂瑰悜
+            double nx = (nx1 + nx2) / 2;
+            double ny = (ny1 + ny2) / 2;
+            double len = Math.hypot(nx, ny);
+            if (len > 1e-6) {
+                nx /= len;
+                ny /= len;
+            }
+            
+            // 鍚戝绉诲姩
+            outset.add(new Point(
+                pCurr.x + nx * margin,
+                pCurr.y + ny * margin
+            ));
+        }
+        
+        return outset;
+    }
+    
+    /**
+     * 闅滅鐗╃被
+     */
+    private static class Obstacle {
+        List<Point> points; // 澶氳竟褰㈤《鐐癸紙瀵瑰渾褰负绌猴級
+        Point center;       // 鍦嗗績锛堜粎瀵瑰渾褰㈡湁鏁堬級
+        double radius;      // 鍗婂緞锛堜粎瀵瑰渾褰㈡湁鏁堬級
+        boolean isCircle;
+        
+        // 澶氳竟褰㈡瀯閫犲嚱鏁�
+        Obstacle(List<Point> points) {
+            this.points = new ArrayList<>(points);
+            this.isCircle = false;
+            ensureCounterClockwise(this.points); // 纭繚椤烘椂閽堬紙瀵归殰纰嶇墿鏄唴閮ㄥ尯鍩燂級
+        }
+        
+        // 鍦嗗舰鏋勯�犲嚱鏁�
+        Obstacle(Point center, double radius) {
+            this.center = new Point(center.x, center.y);
+            this.radius = radius;
+            this.isCircle = true;
+            this.points = new ArrayList<>();
+        }
+        
+        // 鍒ゆ柇鐐规槸鍚﹀湪闅滅鐗╁唴閮�
+        boolean contains(Point p) {
+            if (isCircle) {
+                return distance(p, center) <= radius;
+            } else {
+                return isPointInPolygon(p, points);
+            }
+        }
+        
+        // 鑾峰彇绾挎涓庨殰纰嶇墿鐨勪氦鐐�
+        List<Point> getIntersections(PathSegment segment) {
+            List<Point> intersections = new ArrayList<>();
+            
+            if (isCircle) {
+                // 绾挎涓庡渾鐨勪氦鐐�
+                double dx = segment.end.x - segment.start.x;
+                double dy = segment.end.y - segment.start.y;
+                double a = dx * dx + dy * dy;
+                double b = 2 * (dx * (segment.start.x - center.x) + 
+                               dy * (segment.start.y - center.y));
+                double c = (segment.start.x - center.x) * (segment.start.x - center.x) + 
+                          (segment.start.y - center.y) * (segment.start.y - center.y) - 
+                          radius * radius;
+                
+                double discriminant = b * b - 4 * a * c;
+                if (discriminant >= 0) {
+                    discriminant = Math.sqrt(discriminant);
+                    for (int sign = -1; sign <= 1; sign += 2) {
+                        double t = (-b + sign * discriminant) / (2 * a);
+                        if (t >= 0 && t <= 1) {
+                            intersections.add(new Point(
+                                segment.start.x + t * dx,
+                                segment.start.y + t * dy
+                            ));
+                        }
+                    }
+                }
+            } else {
+                // 绾挎涓庡杈瑰舰鐨勪氦鐐�
+                for (int i = 0; i < points.size(); i++) {
+                    Point p1 = points.get(i);
+                    Point p2 = points.get((i + 1) % points.size());
+                    
+                    Point inter = getLineIntersection(
+                        segment.start, segment.end, p1, p2);
+                    if (inter != null) {
+                        intersections.add(inter);
+                    }
+                }
+            }
+            
+            return intersections;
+        }
+        
+        boolean isCircle() {
+            return isCircle;
+        }
+    }
+    
+    /**
+     * 鍒ゆ柇鐐规槸鍚﹀湪澶氳竟褰㈠唴閮紙灏勭嚎娉曪級
+     */
+    private static boolean isPointInPolygon(Point p, List<Point> polygon) {
+        boolean inside = false;
+        for (int i = 0, j = polygon.size() - 1; i < polygon.size(); j = i++) {
+            Point pi = polygon.get(i);
+            Point pj = polygon.get(j);
+            
+            if (((pi.y > p.y) != (pj.y > p.y)) &&
+                (p.x < (pj.x - pi.x) * (p.y - pi.y) / (pj.y - pi.y) + pi.x)) {
+                inside = !inside;
+            }
+        }
+        return inside;
+    }
+    
+    /**
+     * 璁$畻涓ゆ潯绾挎鐨勪氦鐐�
+     */
+    private static Point getLineIntersection(Point p1, Point p2, Point p3, Point p4) {
+        double denom = (p1.x - p2.x) * (p3.y - p4.y) - (p1.y - p2.y) * (p3.x - p4.x);
+        if (Math.abs(denom) < 1e-6) return null; // 骞宠
+        
+        double t = ((p1.x - p3.x) * (p3.y - p4.y) - (p1.y - p3.y) * (p3.x - p4.x)) / denom;
+        double u = -((p1.x - p2.x) * (p1.y - p3.y) - (p1.y - p2.y) * (p1.x - p3.x)) / denom;
+        
+        if (t >= 0 && t <= 1 && u >= 0 && u <= 1) {
+            return new Point(
+                p1.x + t * (p2.x - p1.x),
+                p1.y + t * (p2.y - p1.y)
+            );
+        }
+        return null;
+    }
+    
+    /**
+     * 璁$畻涓ょ偣璺濈
+     */
+    private static double distance(Point p1, Point p2) {
+        return Math.hypot(p1.x - p2.x, p1.y - p2.y);
+    }
+    
+    // ============ 浠ヤ笅鏄粠A浠g爜澶嶇敤鐨勬柟娉� ============
+    
+    private static Point getFirstScanPoint(List<Point> polygon, double width, double angle) {
+        List<Point> rotatedPoly = new ArrayList<>();
+        for (Point p : polygon) rotatedPoly.add(rotatePoint(p, -angle));
         double minY = Double.MAX_VALUE;
-        for (Point p : rot) minY = Math.min(minY, p.y);
-        List<Double> xs = getXIntersections(rot, minY + w/2);
-        if (xs.isEmpty()) return poly.get(0);
-        Collections.sort(xs);
-        return rotatePoint(new Point(xs.get(0), minY + w/2), a);
+        for (Point p : rotatedPoly) minY = Math.min(minY, p.y);
+        
+        double firstY = minY + width/2;
+        List<Double> xInter = getXIntersections(rotatedPoly, firstY);
+        if (xInter.isEmpty()) return polygon.get(0);
+        Collections.sort(xInter);
+        return rotatePoint(new Point(xInter.get(0), firstY), angle);
     }
-
-    private static List<Point> alignBoundaryStart(List<Point> poly, Point target) {
-        int idx = 0; double minD = Double.MAX_VALUE;
-        for (int i = 0; i < poly.size(); i++) {
-            double d = Math.hypot(poly.get(i).x - target.x, poly.get(i).y - target.y);
-            if (d < minD) { minD = d; idx = i; }
+    
+    private static List<Point> alignBoundaryStart(List<Point> boundary, Point targetStart) {
+        int bestIdx = 0;
+        double minDist = Double.MAX_VALUE;
+        for (int i = 0; i < boundary.size(); i++) {
+            double d = Math.hypot(boundary.get(i).x - targetStart.x, boundary.get(i).y - targetStart.y);
+            if (d < minDist) { minDist = d; bestIdx = i; }
         }
-        List<Point> res = new ArrayList<>();
-        for (int i = 0; i < poly.size(); i++) res.add(poly.get((idx + i) % poly.size()));
-        return res;
+        List<Point> aligned = new ArrayList<>();
+        for (int i = 0; i < boundary.size(); i++) {
+            aligned.add(boundary.get((bestIdx + i) % boundary.size()));
+        }
+        return aligned;
     }
-
-    private static double findOptimalAngle(List<Point> poly) {
-        double bestA = 0, minH = Double.MAX_VALUE;
-        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 h = 0, miY = Double.MAX_VALUE, maY = -Double.MAX_VALUE;
-            for (Point p : poly) {
-                Point r = rotatePoint(p, -a);
-                miY = Math.min(miY, r.y); maY = Math.max(maY, r.y);
+    
+    private static List<Double> getXIntersections(List<Point> rotatedPoly, double y) {
+        List<Double> xIntersections = new ArrayList<>();
+        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)) {
+                double x = p1.x + (y - p1.y) * (p2.x - p1.x) / (p2.y - p1.y);
+                xIntersections.add(x);
             }
-            h = maY - miY;
-            if (h < minH) { minH = h; bestA = a; }
         }
-        return bestA;
+        return xIntersections;
     }
-
-    private static void ensureCounterClockwise(List<Point> pts) {
-        double s = 0;
-        for (int i = 0; i < pts.size(); i++) s += (pts.get((i + 1) % pts.size()).x - pts.get(i).x) * (pts.get((i + 1) % pts.size()).y + pts.get(i).y);
-        if (s > 0) Collections.reverse(pts);
-    }
-
-    private static List<Point> parseCoordinates(String s) {
-        List<Point> pts = new ArrayList<>();
-        if (s == null || s.isEmpty()) return pts;
-        for (String p : s.split(";")) {
-            String[] xy = p.split(",");
-            if (xy.length == 2) pts.add(new Point(Double.parseDouble(xy[0]), Double.parseDouble(xy[1])));
+    
+    private static double findOptimalAngle(List<Point> polygon) {
+        double bestAngle = 0;
+        double minHeight = Double.MAX_VALUE;
+        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 = calculateHeightAtAngle(polygon, angle);
+            if (h < minHeight) { minHeight = h; bestAngle = angle; }
         }
-        if (pts.size() > 1 && pts.get(0).equals(pts.get(pts.size() - 1))) pts.remove(pts.size() - 1);
-        return pts;
+        return bestAngle;
     }
+    
+    private static double calculateHeightAtAngle(List<Point> poly, double angle) {
+        double minY = Double.MAX_VALUE, maxY = -Double.MAX_VALUE;
+        for (Point p : poly) {
+            Point rp = rotatePoint(p, -angle);
+            minY = Math.min(minY, rp.y); maxY = Math.max(maxY, rp.y);
+        }
+        return maxY - minY;
+    }
+    
+    private 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++) {
+            Point pPrev = points.get((i - 1 + n) % n);
+            Point pCurr = points.get(i);
+            Point pNext = points.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);
+
+            if (l1 < 1e-6 || l2 < 1e-6) continue;
+
+            double n1x = -d1y / l1, n1y = d1x / l1;
+            double n2x = -d2y / l2, n2y = d2x / l2;
+
+            double bisectorX = n1x + n2x, bisectorY = n1y + n2y;
+            double bLen = Math.hypot(bisectorX, bisectorY);
+            if (bLen < 1e-6) { bisectorX = n1x; bisectorY = n1y; } 
+            else { bisectorX /= bLen; bisectorY /= bLen; }
+
+            double cosHalfAngle = n1x * bisectorX + n1y * bisectorY;
+            double dist = margin / Math.max(cosHalfAngle, 0.1); 
+            
+            dist = Math.min(dist, margin * 5);
+
+            result.add(new Point(pCurr.x + bisectorX * dist, pCurr.y + bisectorY * dist));
+        }
+        return result;
+    }
+    
+    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) {
+        double sum = 0;
+        for (int i = 0; i < points.size(); i++) {
+            Point p1 = points.get(i), p2 = points.get((i + 1) % points.size());
+            sum += (p2.x - p1.x) * (p2.y + p1.y);
+        }
+        if (sum > 0) Collections.reverse(points);
+    }
+    
+    private static List<Point> parseCoordinates(String coordinates) {
+        List<Point> points = new ArrayList<>();
+        String[] pairs = coordinates.split(";");
+        for (String pair : pairs) {
+            String[] xy = pair.split(",");
+            if (xy.length == 2) points.add(new Point(Double.parseDouble(xy[0]), Double.parseDouble(xy[1])));
+        }
+        if (points.size() > 1 && points.get(0).equals(points.get(points.size()-1))) points.remove(points.size()-1);
+        return points;
+    }
+    
+    /**
+     * 鎵撳嵃杈撳嚭璺緞鍧愭爣鍒版帶鍒跺彴
+     */
+    private static void printPathCoordinates(List<PathSegment> path) {
+        if (path == null || path.isEmpty()) {
+            System.out.println("璺緞涓虹┖");
+            return;
+        }
+        
+        System.out.println("========== 璺緞鍧愭爣杈撳嚭 ==========");
+        System.out.println("鎬昏矾寰勬鏁�: " + path.size());
+        System.out.println();
+        System.out.println("璺緞鍧愭爣搴忓垪 (鏍煎紡: x,y;x,y;...):");
+        
+        StringBuilder sb = new StringBuilder();
+        for (int i = 0; i < path.size(); i++) {
+            PathSegment segment = path.get(i);
+            if (i == 0) {
+                // 绗竴涓鐨勮捣鐐�
+                sb.append(String.format("%.2f,%.2f", segment.start.x, segment.start.y));
+            }
+            // 姣忎釜娈电殑缁堢偣
+            sb.append(";");
+            sb.append(String.format("%.2f,%.2f", segment.end.x, segment.end.y));
+        }
+        
+        System.out.println(sb.toString());
+        System.out.println();
+        System.out.println("璇︾粏璺緞淇℃伅:");
+        for (int i = 0; i < path.size(); i++) {
+            PathSegment segment = path.get(i);
+            String type = segment.isMowing ? "鍓茶崏" : "绌鸿蛋";
+            System.out.println(String.format("娈� %d [%s]: (%.2f,%.2f) -> (%.2f,%.2f)", 
+                i + 1, type, segment.start.x, segment.start.y, segment.end.x, segment.end.y));
+        }
+        System.out.println("==================================");
+    }
+    
     public static class Point {
         public double x, y;
         public Point(double x, double y) { this.x = x; this.y = y; }
@@ -342,10 +669,15 @@
             return Math.abs(x - p.x) < 1e-4 && Math.abs(y - p.y) < 1e-4;
         }
     }
-
+    
     public static class PathSegment {
         public Point start, end;
         public boolean isMowing;
-        public PathSegment(Point s, Point e, boolean m) { this.start = s; this.end = e; this.isMowing = m; }
+        public PathSegment(Point s, Point e, boolean m) { 
+            this.start = s; 
+            this.end = e; 
+            this.isMowing = m; 
+        }
     }
-}
\ No newline at end of file
+}
+

--
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