From 13d032241e1a2938a8be4f64c9171e1240e9ea1e Mon Sep 17 00:00:00 2001
From: 张世豪 <979909237@qq.com>
Date: 星期一, 22 十二月 2025 18:50:42 +0800
Subject: [PATCH] 新增了边界管理页面和首页边界虚线功能

---
 src/lujing/YixinglujingNoObstacle.java |  457 +++++++++++++++++++++++++++++++++++++++++++++++++++++++-
 1 files changed, 444 insertions(+), 13 deletions(-)

diff --git a/src/lujing/YixinglujingNoObstacle.java b/src/lujing/YixinglujingNoObstacle.java
index 1919731..ae28e81 100644
--- a/src/lujing/YixinglujingNoObstacle.java
+++ b/src/lujing/YixinglujingNoObstacle.java
@@ -1,23 +1,454 @@
 package lujing;
 
-import java.util.List;
 import java.util.ArrayList;
+import java.util.Collections;
+import java.util.List;
 
 /**
- * 鏃犻殰纰嶇墿寮傚舰鍦板潡璺緞瑙勫垝绫�
+ * 寮傚舰锛堟棤闅滅鐗╋級鑽夊湴璺緞瑙勫垝绫� - 浼樺寲鐗� V2.0
+ * * 鍔熻兘鐗圭偣锛�
+ * 1. 鑷姩澶勭悊鍑瑰杈瑰舰锛堥�氳繃鑰冲垏娉曞垎鍓诧級
+ * 2. 澧炲姞鈥滃洿杈光�濊矾寰勶紝淇濊瘉杈圭紭鍓茶崏鏁存磥
+ * 3. 鑷姩璁$畻姣忎釜瀛愬尯鍩熺殑鏈�浼樻壂鎻忚搴︼紙鍑忓皯鎺夊ご娆℃暟锛�
+ * 4. 鏅鸿兘鍖哄煙杩炴帴锛堟敮鎸佸弻鍚戣矾寰勯�夋嫨锛�
  */
 public class YixinglujingNoObstacle {
-    
+
+    // ==========================================
+    // 瀵瑰鎺ュ彛
+    // ==========================================
+
     /**
-     * 鐢熸垚璺緞
-     * @param boundaryCoordsStr 鍦板潡杈圭晫鍧愭爣瀛楃涓� "x1,y1;x2,y2;..."
-     * @param mowingWidthStr 鍓茶崏瀹藉害瀛楃涓诧紝濡� "0.34"
-     * @param safetyMarginStr 瀹夊叏杈硅窛瀛楃涓诧紝濡� "0.2"
-     * @return 璺緞鍧愭爣瀛楃涓诧紝鏍煎紡 "x1,y1;x2,y2;..."
+     * 瑙勫垝寮傚舰鑽夊湴鍓茶崏璺緞
+     *
+     * @param coordinates 鍦板潡杈圭晫鍧愭爣瀛楃涓诧紝鏍煎紡锛�"x1,y1;x2,y2;x3,y3;..."
+     * @param widthStr    鍓茶崏瀹藉害锛堢背锛夛紝濡� "0.34"
+     * @param marginStr   瀹夊叏杈硅窛锛堢背锛夛紝濡� "0.2"
+     * @return 璺緞娈靛垪琛�
      */
-    public static String planPath(String boundaryCoordsStr, String mowingWidthStr, String safetyMarginStr) {
-        // TODO: 瀹炵幇寮傚舰鍦板潡鏃犻殰纰嶇墿璺緞瑙勫垝绠楁硶
-        // 鐩墠浣跨敤榛樿鏂规硶浣滀负涓存椂瀹炵幇
-        throw new UnsupportedOperationException("YixinglujingNoObstacle.planPath 灏氭湭瀹炵幇");
+    public static List<PathSegment> planPath(String coordinates, String widthStr, String marginStr) {
+        // 1. 鍙傛暟瑙f瀽涓庨澶勭悊
+        List<Point> rawPoints = parseCoordinates(coordinates);
+        if (rawPoints.size() < 3) {
+            throw new IllegalArgumentException("澶氳竟褰㈢偣鏁颁笉瓒筹紝鏃犳硶鏋勬垚鍦板潡");
+        }
+        // 纭繚閫嗘椂閽堥『搴忥紝鏂逛究鍚庣画鍑犱綍璁$畻
+        ensureCounterClockwise(rawPoints);
+
+        double mowWidth = Double.parseDouble(widthStr);
+        double safeMargin = Double.parseDouble(marginStr);
+        
+        List<PathSegment> finalPath = new ArrayList<>();
+
+        // 2. 鐢熸垚鍥磋竟璺緞 (Contour Path)
+        // 杩欎竴姝ュ厛瑙勫垝涓�鍦堣疆寤擄紝瑙e喅寮傚舰杈圭紭闅惧鐞嗙殑闂
+        List<Point> contourPoly = getInsetPolygon(rawPoints, safeMargin);
+        
+        // 濡傛灉鍐呯缉鍚庨潰绉お灏忔垨鐐规暟涓嶈冻锛岀洿鎺ヨ繑鍥炵┖
+        if (contourPoly.size() < 3) {
+            return new ArrayList<>();
+        }
+
+        // 灏嗗洿杈硅矾寰勫姞鍏ョ粨鏋�
+        for (int i = 0; i < contourPoly.size(); i++) {
+            Point p1 = contourPoly.get(i);
+            Point p2 = contourPoly.get((i + 1) % contourPoly.size());
+            finalPath.add(new PathSegment(p1, p2, true)); // true = 鍓茶崏
+        }
+        
+        // 璁板綍鍥磋竟缁撴潫鍚庣殑浣嶇疆锛堥�氬父鍥炲埌鍥磋竟璧风偣锛�
+        Point endOfContour = contourPoly.get(0);
+
+        // 3. 鍖哄煙鍒嗗壊 (Decomposition)
+        // 浣跨敤鑰冲垏娉曞皢鍥磋竟鍚庣殑澶氳竟褰㈠垎鍓蹭负澶氫釜鍑稿杈瑰舰锛堜笁瑙掑舰锛�
+        // 杩欐牱鍙互淇濊瘉瑕嗙洊鏃犻仐婕�
+        List<List<Point>> triangles = triangulatePolygon(contourPoly);
+
+        // 4. 瀵规瘡涓尯鍩熺敓鎴愬唴閮ㄥ~鍏呰矾寰�
+        List<List<PathSegment>> allRegionPaths = new ArrayList<>();
+        
+        for (List<Point> triangle : triangles) {
+            // 銆愪紭鍖栥�戝鎵炬渶浼樻壂鎻忚搴︼細
+            // 閬嶅巻涓夎褰㈢殑涓夋潯杈癸紝璁$畻浠ュ摢鏉¤竟涓哄熀鍑嗘壂鎻忔椂锛岀敓鎴愮殑琛屾暟鏈�灏戯紙杞集鏈�灏戯級
+            List<PathSegment> regionPath = planConvexPathOptimal(triangle, mowWidth);
+            if (!regionPath.isEmpty()) {
+                allRegionPaths.add(regionPath);
+            }
+        }
+
+        // 5. 杩炴帴鎵�鏈夊唴閮ㄥ尯鍩� (Greedy Connection)
+        // 浠庡洿杈圭粨鏉熺偣寮�濮嬶紝瀵绘壘鏈�杩戠殑涓嬩竴涓尯鍩�
+        List<PathSegment> internalPaths = connectRegions(allRegionPaths, endOfContour);
+        finalPath.addAll(internalPaths);
+
+        return finalPath;
     }
-}
+
+    // ==========================================
+    // 鏍稿績瑙勫垝绠楁硶
+    // ==========================================
+
+    /**
+     * 瑙勫垝鍑稿杈瑰舰璺緞锛岃嚜鍔ㄩ�夋嫨鏈�浼樿搴�
+     */
+    private static List<PathSegment> planConvexPathOptimal(List<Point> polygon, double width) {
+        if (polygon.size() < 3) return new ArrayList<>();
+
+        double bestAngle = 0;
+        double minLines = Double.MAX_VALUE;
+
+        // 閬嶅巻澶氳竟褰㈢殑姣忎竴鏉¤竟锛屽皾璇曚互璇ヨ竟瑙掑害杩涜鎵弿
+        for (int i = 0; i < polygon.size(); i++) {
+            Point p1 = polygon.get(i);
+            Point p2 = polygon.get((i + 1) % polygon.size());
+            
+            // 璁$畻杈圭殑瑙掑害
+            double angle = Math.atan2(p2.y - p1.y, p2.x - p1.x);
+            
+            // 璁$畻鍦ㄨ繖涓搴︿笅锛屽杈瑰舰鐨勫瀭鐩存姇褰遍珮搴�
+            // 楂樺害瓒婂皬锛屾剰鍛崇潃娌挎鏂瑰悜鎵弿鐨勮鏁拌秺灏戯紝鏁堢巼瓒婇珮
+            double height = calculatePolygonHeight(polygon, -angle);
+            
+            if (height < minLines) {
+                minLines = height;
+                bestAngle = angle;
+            }
+        }
+
+        // 浣跨敤鏈�浣宠搴︾敓鎴愯矾寰�
+        return generatePathWithAngle(polygon, width, bestAngle);
+    }
+
+    /**
+     * 鏍规嵁鎸囧畾瑙掑害鐢熸垚寮撳瓧褰㈣矾寰�
+     */
+    private static List<PathSegment> generatePathWithAngle(List<Point> polygon, double width, double angle) {
+        // 1. 灏嗗杈瑰舰鏃嬭浆鍒版按骞充綅缃�
+        List<Point> rotatedPoints = new ArrayList<>();
+        for (Point p : polygon) {
+            rotatedPoints.add(rotatePoint(p, -angle));
+        }
+
+        // 2. 璁$畻Y杞磋寖鍥�
+        double minY = Double.MAX_VALUE;
+        double maxY = -Double.MAX_VALUE;
+        for (Point p : rotatedPoints) {
+            minY = Math.min(minY, p.y);
+            maxY = Math.max(maxY, p.y);
+        }
+
+        List<PathSegment> segments = new ArrayList<>();
+        boolean leftToRight = true;
+
+        // 3. 鎵弿绾跨敓鎴� (浠� minY + width/2 寮�濮嬶紝淇濊瘉绗竴鍒�鍒囧湪澶氳竟褰㈠唴)
+        for (double y = minY + width / 2; y <= maxY; y += width) {
+            List<Double> intersections = new ArrayList<>();
+            for (int i = 0; i < rotatedPoints.size(); i++) {
+                Point p1 = rotatedPoints.get(i);
+                Point p2 = rotatedPoints.get((i + 1) % rotatedPoints.size());
+                
+                // 鍒ゆ柇鎵弿绾挎槸鍚︾┛杩囪竟
+                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);
+                    intersections.add(x);
+                }
+            }
+            Collections.sort(intersections);
+
+            // 鎴愬鐢熸垚绾挎
+            for (int k = 0; k < intersections.size() - 1; k += 2) {
+                double x1 = leftToRight ? intersections.get(k) : intersections.get(k + 1);
+                double x2 = leftToRight ? intersections.get(k + 1) : intersections.get(k);
+                
+                Point start = new Point(x1, y);
+                Point end = new Point(x2, y);
+
+                // 鏃嬭浆鍥炲師濮嬪潗鏍囩郴
+                Point originalStart = rotatePoint(start, angle);
+                Point originalEnd = rotatePoint(end, angle);
+
+                // 杩炴帴閫昏緫锛氬鏋滀笉鏄涓�娈碉紝闇�瑕佷粠涓婁竴娈电粓鐐硅繛杩囨潵
+                if (!segments.isEmpty()) {
+                    PathSegment prev = segments.get(segments.size() - 1);
+                    // 娣诲姞杩炴帴绾匡紙閫氬父绠椾綔鍓茶崏璺緞鐨勪竴閮ㄥ垎锛屼繚鎸佸紦瀛楀舰杩炵画锛�
+                    segments.add(new PathSegment(prev.end, originalStart, true));
+                }
+
+                segments.add(new PathSegment(originalStart, originalEnd, true));
+            }
+            leftToRight = !leftToRight; // 鎹㈠悜
+        }
+
+        return segments;
+    }
+
+    /**
+     * 杩炴帴鎵�鏈夊垎鍓插悗鐨勫尯鍩� (璐績绛栫暐 + 鍙屽悜浼樺寲)
+     */
+    private static List<PathSegment> connectRegions(List<List<PathSegment>> regions, Point startPoint) {
+        List<PathSegment> result = new ArrayList<>();
+        if (regions.isEmpty()) return result;
+
+        List<List<PathSegment>> remaining = new ArrayList<>(regions);
+        Point currentPos = startPoint;
+
+        while (!remaining.isEmpty()) {
+            int bestIndex = -1;
+            double minDist = Double.MAX_VALUE;
+            boolean needReverse = false;
+
+            // 瀵绘壘绂诲綋鍓嶄綅缃渶杩戠殑鍖哄煙璧风偣鎴栫粓鐐�
+            for (int i = 0; i < remaining.size(); i++) {
+                List<PathSegment> region = remaining.get(i);
+                Point pStart = region.get(0).start;
+                Point pEnd = region.get(region.size() - 1).end;
+
+                double dStart = distance(currentPos, pStart);
+                double dEnd = distance(currentPos, pEnd);
+
+                // 妫�鏌ユ鍚戣繘鍏�
+                if (dStart < minDist) {
+                    minDist = dStart;
+                    bestIndex = i;
+                    needReverse = false;
+                }
+                // 妫�鏌ュ弽鍚戣繘鍏ワ紙鍊掔潃鍓茶崏濡傛灉鏇磋繎锛�
+                if (dEnd < minDist) {
+                    minDist = dEnd;
+                    bestIndex = i;
+                    needReverse = true;
+                }
+            }
+
+            if (bestIndex != -1) {
+                List<PathSegment> targetRegion = remaining.remove(bestIndex);
+                
+                if (needReverse) {
+                    // 鍙嶈浆璇ュ尯鍩熺殑鎵�鏈夎矾寰�
+                    List<PathSegment> reversedRegion = new ArrayList<>();
+                    for (int k = targetRegion.size() - 1; k >= 0; k--) {
+                        PathSegment seg = targetRegion.get(k);
+                        // 浜ゆ崲璧风偣缁堢偣
+                        reversedRegion.add(new PathSegment(seg.end, seg.start, seg.isMowing));
+                    }
+                    targetRegion = reversedRegion;
+                }
+
+                // 娣诲姞杩囨浮璺緞锛堟姮鍒�绉诲姩锛宨sMowing=false锛�
+                Point nextStart = targetRegion.get(0).start;
+                // 鍙湁璺濈鏄捐憲鎵嶆坊鍔犵Щ鍔ㄦ
+                if (distance(currentPos, nextStart) > 0.01) {
+                    result.add(new PathSegment(currentPos, nextStart, false));
+                }
+
+                result.addAll(targetRegion);
+                currentPos = targetRegion.get(targetRegion.size() - 1).end;
+            } else {
+                break; // 闃插尽鎬т唬鐮�
+            }
+        }
+        return result;
+    }
+
+    // ==========================================
+    // 鍑犱綍杩愮畻杈呭姪鏂规硶
+    // ==========================================
+
+    /**
+     * 鍐呯缉澶氳竟褰� (鍩轰簬瑙掑钩鍒嗙嚎)
+     */
+    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);
+
+            Point v1 = new Point(pCurr.x - pPrev.x, pCurr.y - pPrev.y);
+            Point v2 = new Point(pNext.x - pCurr.x, pNext.y - pCurr.y);
+
+            double len1 = Math.hypot(v1.x, v1.y);
+            double len2 = Math.hypot(v2.x, v2.y);
+
+            if (len1 < 1e-6 || len2 < 1e-6) continue;
+
+            // 褰掍竴鍖栧悜閲�
+            Point n1 = new Point(v1.x / len1, v1.y / len1);
+            Point n2 = new Point(v2.x / len2, v2.y / len2);
+
+            // 璁$畻骞冲垎绾挎柟鍚�
+            // v1鍙嶅悜 + v2
+            Point bisector = new Point(-n1.x + n2.x, -n1.y + n2.y);
+            double biLen = Math.hypot(bisector.x, bisector.y);
+            
+            // 璁$畻鍗婅 sin(theta/2)
+            double cross = n1.x * n2.y - n1.y * n2.x; // 鍙夌Н鍒ゆ柇杞悜
+            
+            // 榛樿鍚戝乏渚у唴缂� (CCW澶氳竟褰�)
+            if (biLen < 1e-6) {
+                // 鍏辩嚎锛屾部娉曠嚎鏂瑰悜
+                bisector = new Point(-n1.y, n1.x);
+            } else {
+                bisector.x /= biLen;
+                bisector.y /= biLen;
+            }
+
+            // 璁$畻鍋忕Щ璺濈
+            double dot = n1.x * n2.x + n1.y * n2.y;
+            double angle = Math.acos(Math.max(-1, Math.min(1, dot)));
+            double dist = margin / Math.sin(angle / 2.0);
+
+            // 鏂瑰悜淇锛氱‘淇濆钩鍒嗙嚎鎸囧悜澶氳竟褰㈠唴閮紙閫嗘椂閽堝杈瑰舰鐨勫乏渚э級
+            Point leftNormal = new Point(-n1.y, n1.x);
+            if (bisector.x * leftNormal.x + bisector.y * leftNormal.y < 0) {
+                 bisector.x = -bisector.x;
+                 bisector.y = -bisector.y;
+            }
+            
+            // 濡傛灉鏄嚬瑙掞紙cross < 0锛夛紝骞冲垎绾挎寚鍚戝閮紝璺濈闇�瑕佸弽杞垨鑰呯壒娈婂鐞�
+            // 绠�鍗曞鐞嗭細瀵逛簬鍑硅锛屽亸绉荤偣瀹為檯涓婁細杩滅鍘熺偣锛屼笂杩伴�昏緫閫氬父鑳借鐩栵紝
+            // 浣嗘瀬绔攼瑙掑彲鑳藉鑷磀ist杩囧ぇ銆傛澶勫仛绠�鍗曟埅鏂繚鎶ゆ槸涓嶅鐨勶紝
+            // 浣嗛拡瀵逛竴鑸崏鍦板舰鐘讹紝姝ら�昏緫鍙敤銆�
+            
+            result.add(new Point(pCurr.x + bisector.x * dist, pCurr.y + bisector.y * dist));
+        }
+        return result;
+    }
+
+    /**
+     * 鑰冲垏娉曞垎鍓插杈瑰舰
+     */
+    private static List<List<Point>> triangulatePolygon(List<Point> poly) {
+        List<List<Point>> triangles = new ArrayList<>();
+        List<Point> remaining = new ArrayList<>(poly);
+
+        int maxIter = remaining.size() * 3;
+        int iter = 0;
+
+        while (remaining.size() > 3 && iter++ < maxIter) {
+            int n = remaining.size();
+            boolean earFound = false;
+
+            for (int i = 0; i < n; i++) {
+                Point prev = remaining.get((i - 1 + n) % n);
+                Point curr = remaining.get(i);
+                Point next = remaining.get((i + 1) % n);
+
+                if (isConvex(prev, curr, next)) {
+                    boolean hasPoint = false;
+                    for (int j = 0; j < n; j++) {
+                        if (j == i || j == (i - 1 + n) % n || j == (i + 1) % n) continue;
+                        if (isPointInTriangle(remaining.get(j), prev, curr, next)) {
+                            hasPoint = true;
+                            break;
+                        }
+                    }
+
+                    if (!hasPoint) {
+                        List<Point> tri = new ArrayList<>();
+                        tri.add(prev); tri.add(curr); tri.add(next);
+                        triangles.add(tri);
+                        remaining.remove(i);
+                        earFound = true;
+                        break;
+                    }
+                }
+            }
+            if (!earFound) break;
+        }
+
+        if (remaining.size() == 3) {
+            triangles.add(remaining);
+        }
+        return triangles;
+    }
+
+    private static double calculatePolygonHeight(List<Point> poly, double angle) {
+        double minY = Double.MAX_VALUE;
+        double maxY = -Double.MAX_VALUE;
+        for (Point p : poly) {
+            Point r = rotatePoint(p, angle);
+            minY = Math.min(minY, r.y);
+            maxY = Math.max(maxY, r.y);
+        }
+        return maxY - minY;
+    }
+
+    private static Point rotatePoint(Point p, double angle) {
+        double cos = Math.cos(angle);
+        double sin = Math.sin(angle);
+        return new Point(p.x * cos - p.y * sin, p.x * sin + p.y * cos);
+    }
+
+    private static boolean isConvex(Point a, Point b, Point c) {
+        return (b.x - a.x) * (c.y - b.y) - (b.y - a.y) * (c.x - b.x) >= 0;
+    }
+
+    private static boolean isPointInTriangle(Point p, Point a, Point b, Point c) {
+        double areaABC = Math.abs((a.x*(b.y-c.y) + b.x*(c.y-a.y) + c.x*(a.y-b.y))/2.0);
+        double areaPBC = Math.abs((p.x*(b.y-c.y) + b.x*(c.y-p.y) + c.x*(p.y-b.y))/2.0);
+        double areaPAC = Math.abs((a.x*(p.y-c.y) + p.x*(c.y-a.y) + c.x*(a.y-p.y))/2.0);
+        double areaPAB = Math.abs((a.x*(b.y-p.y) + b.x*(p.y-a.y) + p.x*(a.y-b.y))/2.0);
+        return Math.abs(areaABC - (areaPBC + areaPAC + areaPAB)) < 1e-6;
+    }
+
+    private static List<Point> parseCoordinates(String coordinates) {
+        List<Point> points = new ArrayList<>();
+        String cleanStr = coordinates.replaceAll("[()\\[\\]{}]", "").trim();
+        String[] pairs = cleanStr.split(";");
+        for (String pair : pairs) {
+            pair = pair.trim();
+            if (pair.isEmpty()) continue;
+            String[] xy = pair.split(",");
+            if (xy.length == 2) {
+                points.add(new Point(Double.parseDouble(xy[0].trim()), Double.parseDouble(xy[1].trim())));
+            }
+        }
+        return points;
+    }
+
+    private static void ensureCounterClockwise(List<Point> points) {
+        double sum = 0;
+        for (int i = 0; i < points.size(); i++) {
+            Point p1 = points.get(i);
+            Point p2 = points.get((i + 1) % points.size());
+            sum += (p2.x - p1.x) * (p2.y + p1.y);
+        }
+        if (sum > 0) {
+            Collections.reverse(points);
+        }
+    }
+    
+    private static double distance(Point p1, Point p2) {
+        return Math.hypot(p1.x - p2.x, p1.y - p2.y);
+    }
+
+    // ==========================================
+    // 鍐呴儴鏁版嵁缁撴瀯
+    // ==========================================
+
+    public static class Point {
+        public double x, y;
+        public Point(double x, double y) { this.x = x; this.y = y; }
+        @Override public String toString() { return String.format("%.2f,%.2f", x, y); }
+    }
+
+    public static class PathSegment {
+        public Point start;
+        public Point end;
+        public boolean isMowing;
+
+        public PathSegment(Point start, Point end, boolean isMowing) {
+            this.start = start;
+            this.end = end;
+            this.isMowing = isMowing;
+        }
+
+        @Override
+        public String toString() {
+            return String.format("[%s -> %s, 鍓茶崏:%b]", start, end, isMowing);
+        }
+    }
+}
\ No newline at end of file

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