From cbfd1df513c473dd5550d78740c92fc1677b6e9b Mon Sep 17 00:00:00 2001
From: 826220679@qq.com <826220679@qq.com>
Date: 星期六, 27 十二月 2025 13:40:42 +0800
Subject: [PATCH] 异形有障碍物路径规划没完成
---
src/lujing/YixinglujingHaveObstacel.java | 635 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++-
1 files changed, 623 insertions(+), 12 deletions(-)
diff --git a/src/lujing/YixinglujingHaveObstacel.java b/src/lujing/YixinglujingHaveObstacel.java
index d46ca08..7d3cbce 100644
--- a/src/lujing/YixinglujingHaveObstacel.java
+++ b/src/lujing/YixinglujingHaveObstacel.java
@@ -1,23 +1,634 @@
package lujing;
+import java.util.*;
-import java.util.List;
/**
- * 鏈夐殰纰嶇墿寮傚舰鍦板潡璺緞瑙勫垝绫�
+ * 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) {
+ // 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);
+
+ // 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<>();
+ 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);
+
+ return finalPath;
+ }
+
/**
- * 鐢熸垚璺緞
- * @param boundaryCoordsStr 鍦板潡杈圭晫鍧愭爣瀛楃涓� "x1,y1;x2,y2;..."
- * @param obstacleCoordsStr 闅滅鐗╁潗鏍囧瓧绗︿覆
- * @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;..."
+ * 鐢熸垚甯﹂殰纰嶇墿鐨勬壂鎻忚矾寰�
*/
- public static String planPath(String boundaryCoordsStr, String obstacleCoordsStr, String mowingWidthStr, String safetyMarginStr) {
- // TODO: 瀹炵幇寮傚舰鍦板潡鏈夐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("YixinglujingHaveObstacel.planPath 灏氭湭瀹炵幇");
+ 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;
+ }
+
+ // 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 : 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);
+ }
+
+ boolean leftToRight = true;
+ for (double y = minY + width/2; y <= maxY - width/2; y += width) {
+ 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 (!leftToRight) {
+ Collections.reverse(lineSegmentsInRow);
+ for (PathSegment s : lineSegmentsInRow) {
+ Point temp = s.start;
+ s.start = s.end;
+ s.end = temp;
+ }
+ }
+
+ 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;
+ }
+
+ return segments;
+ }
+
+ /**
+ * 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 obstacles;
+ }
+
+ /**
+ * 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 : 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 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;
+ }
+
+ 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;
+ }
}
}
+
--
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