From 9d7822ada88392e1b1a612e9b4f680fe6b09aedf Mon Sep 17 00:00:00 2001
From: 826220679@qq.com <826220679@qq.com>
Date: 星期六, 27 十二月 2025 22:25:38 +0800
Subject: [PATCH] 优化了路径规划

---
 src/lujing/YixinglujingNoObstacle.java |  163 ++++++++++++++++++++++++++++++++++++++++++++++++++++--
 1 files changed, 157 insertions(+), 6 deletions(-)

diff --git a/src/lujing/YixinglujingNoObstacle.java b/src/lujing/YixinglujingNoObstacle.java
index 1672ccc..304a3bc 100644
--- a/src/lujing/YixinglujingNoObstacle.java
+++ b/src/lujing/YixinglujingNoObstacle.java
@@ -7,7 +7,20 @@
  * 淇锛氳В鍐冲嚬澶氳竟褰㈡壂鎻忕嚎璺ㄨ秺杈圭晫鐨勯棶棰橈紝浼樺寲璺緞瀵归綈
  */
 public class YixinglujingNoObstacle {
-
+    // 鐢ㄦ硶璇存槑锛堟棤闅滅鐗╄矾寰勮鍒掞級锛�
+    // - 鏂规硶鐢ㄩ�旓細鏍规嵁鍦板潡杈圭晫銆佸壊鑽夊搴︿笌瀹夊叏杈硅窛锛岀敓鎴愯鐩栧叏鍖哄煙鐨勫壊鑽夎矾寰勩��
+    // - 鍙傛暟锛�
+    //   coordinates锛氬湴鍧楄竟鐣屽潗鏍囧瓧绗︿覆锛屾牸寮� "x1,y1;x2,y2;..."锛岃嚦灏�3涓偣锛屽崟浣嶄负绫炽��
+    //   widthStr锛氬壊鑽夊搴︼紙瀛楃涓诧紝鍗曚綅绫筹級锛岀敤浜庣‘瀹氭壂鎻忕嚎闂磋窛銆�
+    //   marginStr锛氬畨鍏ㄨ竟璺濓紙瀛楃涓诧紝鍗曚綅绫筹級锛岀敤浜庡皢鍦板潡杈圭晫鍚戝唴鏀剁缉锛岄伩鍏嶈创杈逛綔涓氥��
+    // - 杩斿洖鍊硷細List<PathSegment>锛屽叾涓� PathSegment.start/end 涓哄潗鏍囩偣锛宨sMowing 涓� true 琛ㄧず鍓茶崏娈碉紝false 琛ㄧず绌鸿蛋娈点��
+    // - 澶辫触鎯呭喌锛氬綋杈圭晫鐐逛笉瓒虫垨鍐呯缉鍚庡尯鍩熻繃灏忥紝杩斿洖绌哄垪琛ㄣ��
+    // - 浣跨敤绀轰緥锛�
+    //   String boundary = "0,0;20,0;20,15;0,15";
+    //   String width = "0.3";
+    //   String margin = "0.5";
+    //   List<YixinglujingNoObstacle.PathSegment> path =
+    //       YixinglujingNoObstacle.planPath(boundary, width, margin);
     public static List<PathSegment> planPath(String coordinates, String widthStr, String marginStr) {
         List<Point> rawPoints = parseCoordinates(coordinates);
         if (rawPoints.size() < 3) return new ArrayList<>();
@@ -46,6 +59,14 @@
         
         finalPath.addAll(scanPath);
 
+        // 8. 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 finalPath;
     }
 
@@ -87,7 +108,7 @@
             for (PathSegment s : lineSegmentsInRow) {
                 if (Math.hypot(currentPos.x - s.start.x, currentPos.y - s.start.y) > 0.01) {
                     // 濡傛灉闂磋窛澶т簬1cm锛屾坊鍔犵┖璧拌矾寰�
-                    segments.add(new PathSegment(currentPos, s.start, false));
+                    addSafeConnection(segments, currentPos, s.start, polygon);
                 }
                 segments.add(s);
                 currentPos = s.end;
@@ -126,12 +147,31 @@
 
     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)) {
+            
+            // 璺宠繃姘村钩杈癸紙閬垮厤涓庢壂鎻忕嚎閲嶅悎鏃剁殑鐗规畩鎯呭喌锛�
+            if (Math.abs(p1.y - p2.y) < tolerance) {
+                continue;
+            }
+            
+            // 妫�鏌ユ槸鍚︾浉浜わ紙浣跨敤涓ユ牸涓嶇瓑寮忛伩鍏嶉《鐐归噸澶嶏級
+            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);
+                // 绠�鍗曞幓閲嶏細妫�鏌ユ槸鍚﹀凡瀛樺湪鐩歌繎鐨勭偣
+                boolean isDuplicate = false;
+                for (double existingX : xIntersections) {
+                    if (Math.abs(x - existingX) < tolerance) {
+                        isDuplicate = true;
+                        break;
+                    }
+                }
+                if (!isDuplicate) {
+                    xIntersections.add(x);
+                }
             }
         }
         return xIntersections;
@@ -158,7 +198,7 @@
         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++) {
@@ -194,12 +234,123 @@
         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) {
+        int bestIdx = -1;
+        double minD = Double.MAX_VALUE;
+        for (int i = 0; i < poly.size(); i++) {
+            Point p1 = poly.get(i);
+            Point p2 = poly.get((i + 1) % poly.size());
+            double d = distToSegment(p, p1, p2);
+            if (d < minD) {
+                minD = d;
+                bestIdx = i;
+            }
+        }
+        // 鍙鎵惧埌鏈�杩戠殑杈瑰嵆鍙紝鏀惧闃堝�间互搴斿娴偣璇樊鍜屾棆杞彉褰�
+        // 濡傛灉璺濈杩囧ぇ锛堜緥濡傝秴杩�1绫筹級锛屽彲鑳界‘瀹炰笉鍦ㄨ竟鐣屼笂锛屼絾鍦ㄨ矾寰勮鍒掍笂涓嬫枃涓紝
+        // 杩欎簺鐐规槸鐢辨壂鎻忕嚎鐢熸垚鐨勶紝鐞嗚涓婁竴瀹氬湪杈圭晫涓婏紝鎵�浠ュ己鍒跺惛闄勬槸瀹夊叏鐨勩��
+        return minD < 1.0 ? bestIdx : -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());

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