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 | 1003 ++++++++++++++++++++++++++++++++++++----------------------
 1 files changed, 614 insertions(+), 389 deletions(-)

diff --git a/src/lujing/YixinglujingHaveObstacel.java b/src/lujing/YixinglujingHaveObstacel.java
index c864d3a..6a14dc4 100644
--- a/src/lujing/YixinglujingHaveObstacel.java
+++ b/src/lujing/YixinglujingHaveObstacel.java
@@ -1,458 +1,683 @@
 package lujing;
+import java.util.*;
 
-import java.util.ArrayList;
-import java.util.Collections;
-import java.util.List;
 
 /**
- * 寮傚舰鑽夊湴璺緞瑙勫垝 - 闅滅鐗╄鍓紭鍖栫増 V9.0
- * 鏍稿績閫昏緫锛氬厛鐢熸垚鍏ㄨ鐩栨壂鎻忚矾寰勶紝鍐嶅埄鐢ㄥ鎵╁悗鐨勯殰纰嶇墿瀵硅矾寰勮繘琛岃鍓��
+ * 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 {
-
-    /**
-     * 瑙勫垝璺緞涓诲叆鍙�
-     */
-    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);
-
-        // 2. 棰勫鐞嗗湴鍧楄竟鐣� (纭繚閫嗘椂閽�)
+        
+        // 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);
         
-        // 3. 鐢熸垚鍦板潡鍐呯缉鐨勫畨鍏ㄤ綔涓氳竟鐣� (Inset)
-        List<Point> mowingBoundary = getOffsetPolygon(rawPoints, safeMargin); // 姝f暟鍐呯缉
-        if (mowingBoundary.size() < 3) return new ArrayList<>();
-
-        // 4. 绗竴姝ワ細鐢熸垚鈥滄棤瑙嗛殰纰嶇墿鈥濈殑鍏ㄨ鐩栨壂鎻忚矾寰�
-        // 鐩存帴浣跨敤鎵弿绾跨畻娉曠敓鎴愬~婊℃暣涓唴缂╄竟鐣岀殑璺緞
-        List<PathSegment> rawPath = generateFullCoveragePath(mowingBoundary, mowWidth);
-
-        // 5. 瑙f瀽闅滅鐗╁苟杩涜澶栨墿 (Outset)
-        // 娉ㄦ剰锛氶殰纰嶇墿澶栨墿璺濈 = 鍓茶崏鏈哄畨鍏ㄨ竟璺濓紝纭繚涓嶅彂鐢熺鎾�
-        List<Obstacle> obstacles = parseObstacles(obstaclesStr, safeMargin);
-
-        // 6. 绗簩姝ワ細浣跨敤闅滅鐗╄鍓矾寰� (鏍稿績姝ラ)
-        return clipPathWithObstacles(rawPath, obstacles);
-    }
-
-    /**
-     * 浣跨敤闅滅鐗╅泦鍚堣鍓師濮嬭矾寰�
-     */
-    private static List<PathSegment> clipPathWithObstacles(List<PathSegment> rawPath, List<Obstacle> obstacles) {
+        // 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<>();
+        
+        // 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);
+        
+        // 8. 绗竴闃舵锛氬洿杈硅矾寰�
         List<PathSegment> finalPath = new ArrayList<>();
-        Point currentPos = (rawPath.isEmpty()) ? new Point(0,0) : rawPath.get(0).start;
-
-        for (PathSegment segment : rawPath) {
-            // 灏嗗綋鍓嶈繖涓�娈佃矾寰勶紝鎷垮幓璺熸墍鏈夐殰纰嶇墿杩涜纰版挒妫�娴嬪拰瑁佸壀
-            // 鍒濆鏃讹紝杩欎竴娈垫槸瀹屾暣鐨�
-            List<PathSegment> segmentsToProcess = new ArrayList<>();
-            segmentsToProcess.add(segment);
-
-            for (Obstacle obs : obstacles) {
-                List<PathSegment> nextIterSegments = new ArrayList<>();
-                for (PathSegment seg : segmentsToProcess) {
-                    // 濡傛灉鏄壊鑽夎矾寰勶紝闇�瑕佽鍓紱濡傛灉鏄┖璧拌矾寰勶紝閫氬父涔熼渶瑕侀伩闅滐紝
-                    // 浣嗚繖閲屼富瑕佸鐞嗘壂鎻忕嚎鐨勮鍓��
-                    if (seg.isMowing) {
-                        nextIterSegments.addAll(obs.clip(seg));
-                    } else {
-                        // 绌鸿蛋璺緞鏆傛椂淇濈暀锛堥珮绾ч伩闅滈渶瑕丄*绠楁硶锛屾澶勭畝鍖栦负淇濈暀锛�
-                        nextIterSegments.add(seg);
-                    }
-                }
-                segmentsToProcess = nextIterSegments;
-            }
-
-            // 灏嗚鍓悗鍓╀綑鐨勭嚎娈靛姞鍏ユ渶缁堣矾寰�
-            for (PathSegment s : segmentsToProcess) {
-                // 杩囨护鎺夊洜涓鸿鍓骇鐢熺殑鏋佺煭绾挎
-                if (distance(s.start, s.end) < 0.05) continue;
-
-                // 濡傛灉褰撳墠鐐瑰拰绾挎璧风偣涓嶈繛璐紝鍔犲叆杩炴帴璺緞锛堢┖璧帮級
-                if (distance(currentPos, s.start) > 0.05) {
-                    finalPath.add(new PathSegment(currentPos, s.start, false));
-                }
-                
-                finalPath.add(s);
-                currentPos = s.end;
-            }
+        for (int i = 0; i < alignedBoundary.size(); i++) {
+            Point pStart = alignedBoundary.get(i);
+            Point pEnd = alignedBoundary.get((i + 1) % alignedBoundary.size());
+            finalPath.add(new PathSegment(pStart, pEnd, true));
         }
+        
+        // 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);
+        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;
+        }
+        
+        // 11. 鎵撳嵃杈撳嚭璺緞鍧愭爣
+        printPathCoordinates(finalPath);
+        
         return finalPath;
     }
-
-    // --- 璺緞鐢熸垚鏍稿績绠楁硶 (绉绘鑷� NoObstacle 绫�) ---
-
-    private static List<PathSegment> generateFullCoveragePath(List<Point> boundary, double width) {
-        // 1. 瀵绘壘鏈�浼樿搴�
-        double angle = findOptimalAngle(boundary);
+    
+    /**
+     * 鐢熸垚甯﹂殰纰嶇墿鐨勬壂鎻忚矾寰�
+     */
+    private static List<PathSegment> generateGlobalScanPathWithObstacles(
+            List<Point> polygon, List<Obstacle> obstacles, 
+            double width, double angle, Point startPos) {
         
-        // 2. 鏃嬭浆澶氳竟褰互瀵归綈鍧愭爣杞�
+        // 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;
+            }
+            
+            // 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);
+            
+            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;
+    }
+    
+    /**
+     * 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> rotatedPoly = new ArrayList<>();
-        for (Point p : boundary) rotatedPoly.add(rotatePoint(p, -angle));
-
+        for (Point p : polygon) rotatedPoly.add(rotatePoint(p, -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);
         }
-
-        // 3. 鐢熸垚鎵弿绾�
-        List<PathSegment> segments = new ArrayList<>();
-        boolean l2r = true;
-        // 鍥磋竟璺緞鍏堢敓鎴�
-        Point scanStartPoint = null;
-
-        // 杩欓噷鎴戜滑鍏堣绠楁壂鎻忕嚎锛屾渶鍚庡啀鍐冲畾鍥磋竟璧风偣浠ュ噺灏戠┖璧�
-        List<List<PathSegment>> scanRows = new ArrayList<>();
-
+        
+        boolean leftToRight = true;
         for (double y = minY + width/2; y <= maxY - width/2; y += width) {
-            List<Double> xInters = getXIntersections(rotatedPoly, y);
-            if (xInters.size() < 2) continue;
-            Collections.sort(xInters);
-
-            List<PathSegment> row = new ArrayList<>();
-            // 涓や袱閰嶅褰㈡垚绾挎
-            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));
             }
-
-            // 铔囧舰鎺掑簭
-            if (!l2r) {
-                Collections.reverse(row);
-                for (PathSegment s : row) {
-                    Point tmp = s.start; s.start = s.end; s.end = tmp;
+            
+            if (!leftToRight) {
+                Collections.reverse(lineSegmentsInRow);
+                for (PathSegment s : lineSegmentsInRow) {
+                    Point temp = s.start;
+                    s.start = s.end;
+                    s.end = temp;
                 }
             }
-            scanRows.add(row);
-            if (scanStartPoint == null && !row.isEmpty()) scanStartPoint = row.get(0).start;
-            l2r = !l2r;
+            
+            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;
+            }
+            leftToRight = !leftToRight;
         }
-
-        // 4. 鐢熸垚鍥磋竟璺緞 (瀵归綈鍒扮涓�涓壂鎻忕偣)
-        List<Point> alignedBoundary = alignBoundaryStart(boundary, scanStartPoint);
-        for (int i = 0; i < alignedBoundary.size(); i++) {
-            segments.add(new PathSegment(alignedBoundary.get(i), alignedBoundary.get((i+1)%alignedBoundary.size()), true));
-        }
-
-        // 5. 鍔犲叆鎵弿璺緞
-        for (List<PathSegment> row : scanRows) {
-            segments.addAll(row);
-        }
-
+        
         return segments;
     }
-
-    // --- 闅滅鐗╁鐞嗙被 ---
-
-    private static List<Obstacle> parseObstacles(String obsStr, double margin) {
-        List<Obstacle> list = new ArrayList<>();
-        if (obsStr == null || obsStr.trim().isEmpty()) return list;
-
-        // 澶勭悊鏍煎紡 (x,y;...)(x,y;...) 鎴� $ 鍒嗛殧
-        String cleanStr = obsStr.replaceAll("\\s+", "");
-        String[] parts;
-        if (cleanStr.contains("(") && cleanStr.contains(")")) {
-            List<String> matches = new ArrayList<>();
-            java.util.regex.Matcher m = java.util.regex.Pattern.compile("\\(([^)]+)\\)").matcher(cleanStr);
-            while (m.find()) matches.add(m.group(1));
-            parts = matches.toArray(new String[0]);
-        } else {
-            parts = cleanStr.split("\\$");
+    
+    /**
+     * 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;
         }
-
-        for (String pStr : parts) {
-            List<Point> pts = parseCoordinates(pStr);
-            if (pts.isEmpty()) continue;
-            
-            if (pts.size() == 2) {
-                // 鍦嗗舰闅滅鐗�
-                double r = distance(pts.get(0), pts.get(1));
-                list.add(new CircleObstacle(pts.get(0), r + margin)); // 鍗婂緞澧炲姞margin
-            } else {
-                // 澶氳竟褰㈤殰纰嶇墿
-                ensureCounterClockwise(pts);
-                // 澶栨墿闅滅鐗� (Offset Out)
-                // 娉ㄦ剰锛氬湪閫氱敤鍋忕Щ绠楁硶涓紝閫嗘椂閽堝杈瑰舰锛岃礋鏁伴�氬父琛ㄧず澶栨墿锛屾垨鑰呬娇鐢ㄧ壒瀹氱畻娉�
-                // 杩欓噷鎴戜滑澶嶇敤 getOffsetPolygon锛屽苟浼犲叆璐熺殑margin鏉ュ疄鐜板鎵�
-                // *浣嗗湪鏈被鐩墠鐨� getOffsetPolygon 瀹炵幇涓紙鍩轰簬瑙掑钩鍒嗙嚎锛夛紝濡傛灉鏄�嗘椂閽堬細
-                // 姝f暟鏄悜宸︼紙鍐呯缉锛夛紝璐熸暟鏄悜鍙筹紙澶栨墿锛�*
-                List<Point> expanded = getOffsetPolygon(pts, -margin); 
-                list.add(new PolyObstacle(expanded));
-            }
-        }
-        return list;
-    }
-
-    abstract static class Obstacle {
-        // 杩斿洖瑁佸壀鍚庣殑绾挎鍒楄〃锛堝嵆淇濈暀鍦ㄩ殰纰嶇墿澶栭儴鐨勭嚎娈碉級
-        abstract List<PathSegment> clip(PathSegment seg);
-    }
-
-    static class CircleObstacle extends Obstacle {
-        Point c; double r;
-        CircleObstacle(Point c, double r) { this.c = c; this.r = r; }
         
-        @Override
-        List<PathSegment> clip(PathSegment seg) {
-            // 璁$畻鐩寸嚎涓庡渾鐨勪氦鐐� t鍊� (0..1)
-            double dx = seg.end.x - seg.start.x;
-            double dy = seg.end.y - seg.start.y;
-            double fx = seg.start.x - c.x;
-            double fy = seg.start.y - c.y;
+        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;
             
-            double A = dx*dx + dy*dy;
-            double B = 2*(fx*dx + fy*dy);
-            double C = (fx*fx + fy*fy) - r*r;
-            double delta = B*B - 4*A*C;
-
-            List<PathSegment> result = new ArrayList<>();
-            if (delta < 0) {
-                // 鏃犱氦鐐癸紝鍏ㄤ繚鐣欐垨鍏ㄥ墧闄�
-                if (!isInside(seg.start)) result.add(seg);
-                return result;
-            }
-
-            double t1 = (-B - Math.sqrt(delta)) / (2*A);
-            double t2 = (-B + Math.sqrt(delta)) / (2*A);
+            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(";");
             
-            List<Double> ts = new ArrayList<>();
-            ts.add(0.0);
-            if (t1 > 0 && t1 < 1) ts.add(t1);
-            if (t2 > 0 && t2 < 1) ts.add(t2);
-            ts.add(1.0);
-            Collections.sort(ts);
-
-            for (int i = 0; i < ts.size()-1; i++) {
-                double midT = (ts.get(i) + ts.get(i+1)) / 2;
-                Point mid = interpolate(seg.start, seg.end, midT);
-                if (!isInside(mid)) {
-                    result.add(new PathSegment(interpolate(seg.start, seg.end, ts.get(i)),
-                                               interpolate(seg.start, seg.end, ts.get(i+1)), 
-                                               seg.isMowing));
+            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())
+                    ));
                 }
             }
-            return result;
+            
+            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));
+            }
         }
-
-        boolean isInside(Point p) {
-            return (p.x-c.x)*(p.x-c.x) + (p.y-c.y)*(p.y-c.y) < r*r;
-        }
+        
+        return obstacles;
     }
-
-    static class PolyObstacle extends Obstacle {
-        List<Point> points;
-        double minX, maxX, minY, maxY;
-
-        PolyObstacle(List<Point> pts) {
-            this.points = pts;
-            updateBounds();
-        }
-
-        void updateBounds() {
-            minX = minY = Double.MAX_VALUE;
-            maxX = maxY = -Double.MAX_VALUE;
-            for (Point p : points) {
-                minX = Math.min(minX, p.x); maxX = Math.max(maxX, p.x);
-                minY = Math.min(minY, p.y); maxY = Math.max(maxY, p.y);
+    
+    /**
+     * 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));
             }
         }
-
-        boolean isInside(Point p) {
-            if (p.x < minX || p.x > maxX || p.y < minY || p.y > maxY) return false;
-            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 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$畻骞冲潎娉曠嚎鏂瑰悜
+            double nx = (nx1 + nx2) / 2;
+            double ny = (ny1 + ny2) / 2;
+            double len = Math.hypot(nx, ny);
+            if (len > 1e-6) {
+                nx /= len;
+                ny /= len;
             }
-            return result;
+            
+            // 鍚戝绉诲姩
+            outset.add(new Point(
+                pCurr.x + nx * margin,
+                pCurr.y + ny * margin
+            ));
         }
-
-        @Override
-        List<PathSegment> clip(PathSegment seg) {
-            List<Double> ts = new ArrayList<>();
-            ts.add(0.0);
-            ts.add(1.0);
-
-            // 璁$畻绾挎涓庨殰纰嶇墿姣忎竴鏉¤竟鐨勪氦鐐�
-            for (int i = 0; i < points.size(); i++) {
-                Point p1 = points.get(i);
-                Point p2 = points.get((i+1)%points.size());
-                double t = getIntersectionT(seg.start, seg.end, p1, p2);
-                if (t > 1e-6 && t < 1 - 1e-6) {
-                    ts.add(t);
-                }
+        
+        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);
             }
-            Collections.sort(ts);
-
-            List<PathSegment> result = new ArrayList<>();
-            // 妫�鏌ユ瘡涓�灏忔鐨勪腑鐐规槸鍚﹀湪闅滅鐗╁唴
-            for (int i = 0; i < ts.size() - 1; i++) {
-                double tMid = (ts.get(i) + ts.get(i+1)) / 2.0;
-                // 濡傛灉涓ょ偣鏋佸叾鎺ヨ繎锛岃烦杩�
-                if (ts.get(i+1) - ts.get(i) < 1e-6) continue;
+        }
+        
+        // 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;
                 
-                Point mid = interpolate(seg.start, seg.end, tMid);
-                if (!isInside(mid)) {
-                    // 鍦ㄥ閮紝淇濈暀
-                    Point s = interpolate(seg.start, seg.end, ts.get(i));
-                    Point e = interpolate(seg.start, seg.end, ts.get(i+1));
-                    result.add(new PathSegment(s, e, seg.isMowing));
+                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 result;
+            
+            return intersections;
+        }
+        
+        boolean isCircle() {
+            return isCircle;
         }
     }
-
-    // --- 閫氱敤鍑犱綍绠楁硶 ---
-
-    private static List<Point> getOffsetPolygon(List<Point> points, double offset) {
+    
+    /**
+     * 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 : 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> 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> aligned = new ArrayList<>();
+        for (int i = 0; i < boundary.size(); i++) {
+            aligned.add(boundary.get((bestIdx + i) % boundary.size()));
+        }
+        return aligned;
+    }
+    
+    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);
+            }
+        }
+        return xIntersections;
+    }
+    
+    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; }
+        }
+        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 p1 = points.get((i - 1 + n) % n);
-            Point p2 = points.get(i);
-            Point p3 = points.get((i + 1) % n);
+            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); 
             
-            // 鍚戦噺 p1->p2 鍜� p2->p3
-            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);
-            
-            if (l1 < 1e-5 || l2 < 1e-5) continue;
+            dist = Math.min(dist, margin * 5);
 
-            // 娉曞悜閲� (鍚戝乏杞�90搴�: -y, x)
-            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-5) { bx = n1x; by = n1y; } 
-            else { bx /= bl; by /= bl; }
-
-            // 淇闀垮害 offset / sin(theta/2) = offset / dot(n1, b)
-            double dot = n1x * bx + n1y * by;
-            double dist = offset / Math.max(Math.abs(dot), 0.1); // 闃叉灏栬杩囬暱
-            
-            // 闃堝�奸檺鍒讹紝闃叉鑷氦鎴栫暩鍙樿繃澶�
-            dist = Math.signum(offset) * Math.min(Math.abs(dist), Math.abs(offset) * 3);
-
-            result.add(new Point(p2.x + bx * dist, p2.y + by * dist));
+            result.add(new Point(pCurr.x + bisectorX * dist, pCurr.y + bisectorY * dist));
         }
         return result;
     }
-
-    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 = calcHeight(poly, a);
-            if (h < minH) { minH = h; bestA = a; }
-        }
-        return bestA;
-    }
-
-    private static double calcHeight(List<Point> poly, double ang) {
-        double min = Double.MAX_VALUE, max = -Double.MAX_VALUE;
-        for (Point p : poly) {
-            Point r = rotatePoint(p, -ang);
-            min = Math.min(min, r.y); max = Math.max(max, r.y);
-        }
-        return max - min;
-    }
-
-    private static double getIntersectionT(Point a, Point b, Point c, Point d) {
-        double ux = b.x - a.x, uy = b.y - a.y;
-        double vx = d.x - c.x, vy = d.y - c.y;
-        double det = vx * uy - vy * ux;
-        if (Math.abs(det) < 1e-8) return -1;
-        
-        double wx = c.x - a.x, wy = c.y - a.y;
-        double t = (vx * wy - vy * wx) / det;
-        double u = (ux * wy - uy * wx) / det;
-        
-        if (u >= 0 && u <= 1) return t; // 鍙繚璇佷氦鐐瑰湪绾挎CD涓婏紝t鏄疉B涓婄殑姣斾緥
-        return -1;
-    }
-
-    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));
-            }
-        }
-        return res;
-    }
-
-    private static List<Point> alignBoundaryStart(List<Point> poly, Point target) {
-        if (target == null) return poly;
-        int idx = 0; double minD = Double.MAX_VALUE;
-        for (int i = 0; i < poly.size(); i++) {
-            double d = distance(poly.get(i), target);
-            if (d < minD) { minD = d; idx = i; }
-        }
-        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 void ensureCounterClockwise(List<Point> pts) {
-        double s = 0;
-        for (int i = 0; i < pts.size(); i++) {
-            Point p1 = pts.get(i), p2 = pts.get((i + 1) % pts.size());
-            s += (p2.x - p1.x) * (p2.y + p1.y);
-        }
-        if (s > 0) Collections.reverse(pts); // 鍋囪灞忓箷鍧愭爣绯籝鍚戜笅锛熼�氬父澶氳竟褰㈤潰绉叕寮弒>0鏄『鏃堕拡(Y鍚戜笅)鎴栭�嗘椂閽�(Y鍚戜笂)
-        // 姝ゅ娌跨敤鎮ㄤ唬鐮佺殑閫昏緫锛氬鏋淪um>0 鍒欏弽杞��
-    }
-
-    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 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 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 double distance(Point a, Point b) {
-        return Math.hypot(a.x - b.x, a.y - b.y);
-    }
-
-    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 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 (pts.size() > 1 && distance(pts.get(0), pts.get(pts.size() - 1)) < 1e-4) pts.remove(pts.size() - 1);
-        return pts;
+        if (sum > 0) Collections.reverse(points);
     }
-
-    // --- 鏁版嵁缁撴瀯 ---
+    
+    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; }
+        @Override
+        public boolean equals(Object o) {
+            if (!(o instanceof Point)) return false;
+            Point p = (Point) o;
+            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; }
-        @Override
-        public String toString() { return String.format("%.6f,%.6f;%.6f,%.6f", start.x, start.y, end.x, end.y); }
+        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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