1 //MainWidget.h
2
3 #ifndef MAINWINDOW_H
4 #define MAINWINDOW_H
5
6 #include <QMainWindow>
7 #include "mapwidget.h"
8 #include <QToolButton>
9 #include <QGraphicsLineItem>
10 #include <QGraphicsScene>
11 #include <QGraphicsView>
12 #include <QLabel>
13 #include <QComboBox>
14 #include <QSpinBox>
15 #include <QTextEdit>
16 #include <QPainter>
17 #include <QVector>
18
19 class MainWindow : public QMainWindow
20 {
21 Q_OBJECT
22 public:
23 MainWindow(QWidget *parent = 0);
24 ~MainWindow();
25 void createToolBar();
26 void paintEvent (QPaintEvent *);
27 void setStart(int X, int Y);
28 void setEnd(int X, int Y);
29 void setNextPos (int index);
30 void initScene();
31 public slots:
32 void setStartStation();
33 void setEndStation();
34 void FindPath();
35 void Clear();
36 private:
37 MapWidget *mapWidget;
38 QLabel *startLabel;
39 QLabel *endLabel;
40 QComboBox *startComboBox;
41 QComboBox *endComboBox;
42 QToolButton *findPathBtn;
43 QToolButton *clearBtn;
44
45 QGraphicsScene *scene;
46 QGraphicsView *view;
47
48 int startX, startY, endX, endY;
49 QVector<int> nextPath;
50
51 struct ArcCell{ //弧信息
52 int adj; //对无权图有1，0表示是否相邻，对带权图，则为权值类型
53 // string info; //该弧的相关信息
54 };
55
56 //内部类
57 static const int MAX_VERTEX_NUM = 31;
58 static const int INF = 999999;
59
60 struct MGraph{
61 QVector<int> vexs; //顶点集合
62 //临接矩阵
63 ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM];
64 int vexnum; //顶点数
65 int arcnum; //边数
66 // int kind; //图的类型
67 };
68
69
70
71
72 class DijkstraFindPath
73 {
74 public:
75 DijkstraFindPath();
76 MGraph mgraph;
77 void CreateGraph();
78 // void ShortestPath(int v0, PathMatrix &path, ShortPathTable &DP, int prev[]);
79 int prev[MAX_VERTEX_NUM]; //最短路上的前驱顶点
80 int d[MAX_VERTEX_NUM]; //表示边e = (u,v)的权值(不存在时为INF,不过d[i][i]=0)
81 bool used[MAX_VERTEX_NUM]; //已经使用过的图
82 void dijkstra(int startPos); //求从起点startPos出发到各个顶点的最短距离
83 QVector<int> get_Path(int endPos);//到顶点endPos的最短路
84 };
85
86 DijkstraFindPath *dj;
87 };
88
89 #endif // MAINWINDOW_H
1 //MainWidget.cpp
2 //最短路径算法，和界面的实现
3
4 #include "mainwindow.h"
5 #include <qdebug.h>
6 #include <QToolBar>
7 #include <QtAlgorithms>
8 #include <iostream>
9
10 MainWindow::MainWindow(QWidget *parent)
11 : QMainWindow(parent)
12 {
13 // mapWidget = new MapWidget;
14 // painter = new QPainter();
15 dj = new MainWindow::DijkstraFindPath();
16 dj->CreateGraph ();
17
18 scene = new QGraphicsScene;
19 scene->setSceneRect (-100, -100, 700, 700);
20 initScene();
21
22 view = new QGraphicsView;
23 view->setScene (scene);
24 view->setMinimumSize (800, 800);
25 view->show ();
26 setCentralWidget (view);
27
28 createToolBar (); //实现一个工具栏
29 // setCentralWidget (mapWidget);
30 // setMinimumSize (600, 400); //设置最小尺寸
31 }
32
33 MainWindow::DijkstraFindPath::DijkstraFindPath()
34 {
35 mgraph.vexnum = 31; //初始化点数目
36 for (int i = 0; i < mgraph.vexnum; i++) //初始化点编号
37 mgraph.vexs.push_back (i);
38 mgraph.arcnum = 80; //暂定
39 for (int i = 0; i < mgraph.vexnum; i++) {
40 for (int j = 0; j < mgraph.vexnum; j++) {
41 if (i == j)
42 mgraph.arcs[i][j].adj = 0;
43 else
44 mgraph.arcs[i][j].adj = INF;
45 // mgraph.arcs[i][j].info = "";
46 }
47 }
48 }
49
50 void MainWindow::DijkstraFindPath::CreateGraph ()
51 {
52 mgraph.arcs[0][1].adj = mgraph.arcs[1][0].adj = 45; //6 - 5
53 mgraph.arcs[0][6].adj = mgraph.arcs[6][0].adj = 165; //6 - 10
54 mgraph.arcs[1][2].adj = mgraph.arcs[2][1].adj = 45; //5 - 4
55 mgraph.arcs[2][3].adj = mgraph.arcs[3][2].adj = 45; //4 - 3
56 mgraph.arcs[3][4].adj = mgraph.arcs[4][3].adj = 45; //3 - 2
57 mgraph.arcs[3][15].adj = mgraph.arcs[15][3].adj = 24; //3 - 22
58 mgraph.arcs[4][5].adj = mgraph.arcs[5][4].adj = 45; //2 - 1
59 mgraph.arcs[13][15].adj = mgraph.arcs[15][13].adj = 85;//23 - 22
60 mgraph.arcs[0][13].adj = mgraph.arcs[13][0].adj = 55; //6 - 23
61 mgraph.arcs[13][2].adj = mgraph.arcs[2][13].adj = 50; //23 - 4
62 mgraph.arcs[5][11].adj = mgraph.arcs[11][5].adj = 65; //1 - 一食堂
63 mgraph.arcs[11][12].adj = mgraph.arcs[12][11].adj = 10;//一食堂-操场
64 mgraph.arcs[11][27].adj = mgraph.arcs[27][11].adj = 85;//一食堂-祁通1
65 mgraph.arcs[27][28].adj = mgraph.arcs[28][27].adj = 85;//祁通1-祁通2(路口)
66 mgraph.arcs[5][29].adj = mgraph.arcs[29][5].adj = 87; //一食堂-岔路口
67 mgraph.arcs[29][9].adj = mgraph.arcs[9][29].adj = 80; //岔路-7
68 mgraph.arcs[29][11].adj = mgraph.arcs[11][29].adj = 60;//一食堂到岔路(通向7号楼的)
69 mgraph.arcs[29][30].adj = mgraph.arcs[30][29].adj = 32;//岔路-祁通大道
70 mgraph.arcs[30][10].adj = mgraph.arcs[10][30].adj = 90;//祁通大道-图书馆
71 mgraph.arcs[30][28].adj = mgraph.arcs[28][30].adj = 80;//祁通大道-祁通2
72 mgraph.arcs[28][26].adj = mgraph.arcs[26][28].adj = 15;//祁通2-方肇周
73 mgraph.arcs[25][27].adj = mgraph.arcs[27][25].adj = 273; //西大门-祁通1
74 mgraph.arcs[27][28].adj = mgraph.arcs[28][27].adj = 184;//祁通1-祁通2
75 // mgraph.arcs[25][12].adj = mgraph.arcs[12][25].adj = 108; //西大门-西操
76 mgraph.arcs[5][12].adj = mgraph.arcs[12][5].adj = 70; //1 - 操场
77 mgraph.arcs[6][7].adj = mgraph.arcs[7][6].adj = 45; //10 - 9
78 mgraph.arcs[7][8].adj = mgraph.arcs[8][7].adj = 45; //9 - 8
79 mgraph.arcs[8][9].adj = mgraph.arcs[9][8].adj = 45; //8 - 7
80 mgraph.arcs[9][10].adj = mgraph.arcs[10][9].adj = 150; //7 - 图书馆
81 mgraph.arcs[6][14].adj = mgraph.arcs[14][6].adj = 140; //10 - 13
82 mgraph.arcs[14][16].adj = mgraph.arcs[16][14].adj = 39;//13 - 12
83 mgraph.arcs[14][17].adj = mgraph.arcs[17][14].adj = 39;//13 - 16
84 mgraph.arcs[16][18].adj = mgraph.arcs[18][16].adj = 39;//12 - 15
85 mgraph.arcs[17][18].adj = mgraph.arcs[18][17].adj = 39;//16 - 15
86 mgraph.arcs[18][19].adj = mgraph.arcs[19][18].adj = 39;//15 - 14
87 mgraph.arcs[17][20].adj = mgraph.arcs[20][17].adj = 137;//16 - 19
88 mgraph.arcs[20][21].adj = mgraph.arcs[21][20].adj = 39; //19 - 18
89 mgraph.arcs[21][22].adj = mgraph.arcs[22][21].adj = 39; //18 - 17
90 mgraph.arcs[19][22].adj = mgraph.arcs[22][19].adj = 130;//14 - 17
91 mgraph.arcs[22][23].adj = mgraph.arcs[23][22].adj = 53; //17 - 二超
92 mgraph.arcs[23][24].adj = mgraph.arcs[24][23].adj = 5; //二超 - 二食堂
93 mgraph.arcs[24][10].adj = mgraph.arcs[10][24].adj = 260;//二食堂-图书馆
94
95 //以下处理细节
96
97
98 mgraph.arcnum = 80;
99 }
100
101 void MainWindow::DijkstraFindPath::dijkstra (int startPos)
102 {
103 for (int i = 0; i < mgraph.vexnum; i++) d[i] = INF;
104 for (int i = 0; i < mgraph.vexnum; i++) used[i] = false;
105 for (int i = 0; i < mgraph.vexnum; i++) prev[i] = -1;
106 d[startPos] = 0;
107
108 while (true) {
109 int v = -1;
110 for (int u = 0; u < mgraph.vexnum; u++) {
111 if (!used[u] && (v == -1 || d[u] < d[v])) v = u;
112 }
113
114 if (v == -1) break;
115 used[v] = true;
116
117 for (int u = 0; u < mgraph.vexnum; u++) {
118 if (d[u] > d[v] + mgraph.arcs[v][u].adj) {
119 d[u] = d[v] + mgraph.arcs[v][u].adj;
120 prev[u] = v;
121 }
122 }
123 }
124 }
125
126 QVector<int> MainWindow::DijkstraFindPath::get_Path (int endPos)
127 {
128 QVector<int> path;
129
130 for ( ; endPos != -1; endPos = prev[endPos]) {
131 // std::cout << "EndPos: " << endPos << ", ";
132 path.push_back (endPos);
133 }
134
135 std::reverse(path.begin (), path.end ());
136
137 return path;
138 }
139
140 void MainWindow::initScene ()
141 {
142 QGraphicsPixmapItem *item =
143 scene->addPixmap (QPixmap("NanTong.jpg"));
144 // item->setFlag (QGraphicsItem::ItemIsMovable);
145 item->setPos (-500, -420);
146 }
147
148 MainWindow::~MainWindow()
149 {
150
151 }
152
153 void MainWindow::createToolBar ()
154 {
155 QToolBar *toolBar = addToolBar ("Tool");
156 startLabel = new QLabel(tr("起点: "));
157 startComboBox = new QComboBox;
158 startComboBox->addItem (tr("公寓6号楼")); //0
159 startComboBox->addItem (tr("公寓5号楼")); //1
160 startComboBox->addItem (tr("公寓4号楼")); //2
161 startComboBox->addItem (tr("公寓3号楼")); //3
162 startComboBox->addItem (tr("公寓2号楼")); //4
163 startComboBox->addItem (tr("公寓1号楼")); //5
164
165 startComboBox->addItem (tr("公寓10号楼")); //6
166 startComboBox->addItem (tr("公寓9号楼")); //7
167 startComboBox->addItem (tr("公寓8号楼")); //8
168 startComboBox->addItem (tr("公寓7号楼")); //9
169 startComboBox->addItem (tr("图书馆")); //10
170 startComboBox->addItem (tr("一食堂")); startComboBox->addItem (tr("西操场")); //11 12
171 startComboBox->addItem (tr("公寓23号楼")); startComboBox->addItem (tr("公寓13号楼")); //13 14
172 startComboBox->addItem (tr("公寓22号楼")); startComboBox->addItem (tr("公寓12号楼")); //15 16
173 startComboBox->addItem (tr("公寓楼16")); startComboBox->addItem (tr("公寓楼15")); //17 18
174 startComboBox->addItem (tr("公寓楼14")); startComboBox->addItem (tr("公寓楼19")); //19 20
175 startComboBox->addItem (tr("公寓楼18")); startComboBox->addItem (tr("公寓楼17")); //21 22
176 startComboBox->addItem (tr("二超")); startComboBox->addItem (tr("二食堂")); //23 24
177 startComboBox->addItem (tr("西大门")); startComboBox->addItem (tr("方肇周教学楼")); //25 26
178
179 endLabel = new QLabel(tr("\t终点: "));
180
181 endComboBox = new QComboBox;
182 endComboBox->addItem (tr("公寓6号楼"));
183 endComboBox->addItem (tr("公寓5号楼"));
184 endComboBox->addItem (tr("公寓4号楼"));
185 endComboBox->addItem (tr("公寓3号楼"));
186 endComboBox->addItem (tr("公寓2号楼"));
187 endComboBox->addItem (tr("公寓1号楼"));
188 endComboBox->addItem (tr("公寓10号楼"));
189 endComboBox->addItem (tr("公寓9号楼"));
190 endComboBox->addItem (tr("公寓8号楼"));
191 endComboBox->addItem (tr("公寓7号楼"));
192 endComboBox->addItem (tr("图书馆"));
193 endComboBox->addItem (tr("一食堂")); endComboBox->addItem (tr("西操场"));
194 endComboBox->addItem (tr("公寓23号楼"));endComboBox->addItem (tr("公寓13号楼"));
195 endComboBox->addItem (tr("公寓22号楼"));endComboBox->addItem (tr("公寓12号楼"));
196 endComboBox->addItem (tr("公寓楼16")); endComboBox->addItem (tr("公寓楼15"));
197 endComboBox->addItem (tr("公寓楼14")); endComboBox->addItem (tr("公寓楼19"));
198 endComboBox->addItem (tr("公寓楼18")); endComboBox->addItem (tr("公寓楼17"));
199 endComboBox->addItem (tr("二超")); endComboBox->addItem (tr("二食堂"));
200 endComboBox->addItem (tr("西大门")); endComboBox->addItem (tr("方肇周教学楼"));
201
202 connect (startComboBox, SIGNAL(activated(int)), this, SLOT(setStartStation()));
203 connect (endComboBox, SIGNAL(activated(int)), this, SLOT(setEndStation()));
204
205 findPathBtn = new QToolButton;
206 findPathBtn->setText (tr("\t\t绘制最短路径"));
207
208 connect (findPathBtn, SIGNAL(clicked(bool)), this, SLOT(FindPath()));
209
210 clearBtn = new QToolButton;
211 clearBtn->setText (tr("\t\t清除"));
212
213 connect (clearBtn, SIGNAL(clicked(bool)), this, SLOT(Clear()));
214
215 toolBar->addWidget (startLabel);
216 toolBar->addWidget (startComboBox);
217 toolBar->addWidget (endLabel);
218 toolBar->addWidget (endComboBox);
219 toolBar->addWidget (findPathBtn);
220 toolBar->addWidget (clearBtn);
221 }
222
223 void MainWindow::setStart(int X, int Y) {
224 startX = X; startY = Y;
225 // qDebug() << X << ", " << Y;
226 }
227
228 void MainWindow::setEnd (int X, int Y)
229 {
230 endX = X; endY = Y;
231 }
232
233 void MainWindow::setStartStation ()
234 {
235 switch (startComboBox->currentIndex ()) {
236 case 0:
237 setStart(-660, -534); break;
238 case 1:
239 setStart (-673, -490); break;
240 case 2:
241 setStart (-682, -446); break;
242 case 3:
243 setStart (-690, -400); break;
244 case 4:
245 setStart (-701, -355); break;
246 case 5:
247 setStart (-711, -310); break;
248 case 6:
249 setStart (-457, -555); break;
250 case 7:
251 setStart (-449, -485); break;
252 case 8:
253 setStart(-446, -432); break;
254 case 9:
255 setStart (-451, -400); break;
256 case 10:
257 setStart (-347, -353); break;
258 case 11:
259 setStart (-720, -247); break;
260 case 12:
261 setStart (-789, -252); break;
262 case 13:
263 setStart (-721, -517); break;
264 case 14:
265 setStart (-271, -540); break;
266 case 15:
267 setStart (-721, -439); break;
268 case 16:
269 setStart (-274, -495); break;
270 case 17:
271 setStart (-180, -552); break;
272 case 18:
273 setStart (-178, -508); break;
274 case 19:
275 setStart (-179, -456); break;
276 case 20:
277 setStart (-73, -549); break;
278 case 21:
279 setStart (-56, -500); break;
280 case 22:
281 setStart (-59, -448); break;
282 case 23:
283 setStart (-94, -381); break;
284 case 24:
285 setStart (-69, -351); break;
286 case 25:
287 setStart (-1070, -92); break;
288 case 26:
289 setStart (-438, -125); break;
290 case 27:
291 setStart (-721, -119); break;
292 case 28:
293 setStart (-550, -122); break;
294 case 29:
295 setStart (-555, -263); break;
296 case 30:
297 setStart (-498, -235); break;
298 default:
299 break;
300 }
301 }
302
303 void MainWindow::setEndStation ()
304 {
305 switch (endComboBox->currentIndex ()) {
306 case 0:
307 setEnd(-660, -534); break;
308 case 1:
309 setEnd (-673, -490); break;
310 case 2:
311 setEnd (-682, -446); break;
312 case 3:
313 setEnd (-690, -400); break;
314 case 4:
315 setEnd (-701, -355); break;
316 case 5:
317 setEnd (-711, -310); break;
318 case 6:
319 setEnd (-457, -555); break;
320 case 7:
321 setEnd (-449, -485); break;
322 case 8:
323 setEnd (-446, -432); break;
324 case 9:
325 setEnd (-451, -400); break;
326 case 10:
327 setEnd (-347, -353); break;
328 case 11:
329 setEnd (-720, -247); break;
330 case 12:
331 setEnd (-789, -252); break;
332 case 13:
333 setEnd (-721, -517); break;
334 case 14:
335 setEnd (-271, -540); break;
336 case 15:
337 setEnd (-721, -439); break;
338 case 16:
339 setEnd (-274, -495); break;
340 case 17:
341 setEnd (-180, -552); break;
342 case 18:
343 setEnd (-178, -508); break;
344 case 19:
345 setEnd (-179, -456); break;
346 case 20:
347 setEnd (-73, -549); break;
348 case 21:
349 setEnd (-56, -500); break;
350 case 22:
351 setEnd (-59, -448); break;
352 case 23:
353 setEnd (-94, -381); break;
354 case 24:
355 setEnd (-69, -351); break;
356 case 25:
357 setEnd (-1070, -92); break;
358 case 26:
359 setEnd (-438, -125); break;
360 case 27:
361 setEnd (-721, -119); break;
362 case 28:
363 setEnd (-550, -122); break;
364 case 29:
365 setEnd (-555, -263); break;
366 case 30:
367 setEnd (-498, -235); break;
368 default:
369 break;
370 }
371 }
372
373 void MainWindow::setNextPos (int index)
374 {
375 switch (index) {
376 case 0:
377 setEnd(-660, -534); break;
378 case 1:
379 setEnd (-673, -490); break;
380 case 2:
381 setEnd (-682, -446); break;
382 case 3:
383 setEnd (-690, -400); break;
384 case 4:
385 setEnd (-701, -355); break;
386 case 5:
387 setEnd (-711, -310); break;
388 case 6:
389 setEnd (-457, -555); break;
390 case 7:
391 setEnd (-449, -485); break;
392 case 8:
393 setEnd (-446, -432); break;
394 case 9:
395 setEnd (-451, -400); break;
396 case 10:
397 setEnd (-347, -353); break;
398 case 11:
399 setEnd (-720, -247); break;
400 case 12:
401 setEnd (-789, -252); break;
402 case 13:
403 setEnd (-721, -517); break;
404 case 14:
405 setEnd (-271, -540); break;
406 case 15:
407 setEnd (-721, -439); break;
408 case 16:
409 setEnd (-274, -495); break;
410 case 17:
411 setEnd (-180, -552); break;
412 case 18:
413 setEnd (-178, -508); break;
414 case 19:
415 setEnd (-179, -456); break;
416 case 20:
417 setEnd (-73, -549); break;
418 case 21:
419 setEnd (-56, -500); break;
420 case 22:
421 setEnd (-59, -448); break;
422 case 23:
423 setEnd (-94, -381); break;
424 case 24:
425 setEnd (-69, -351); break;
426 case 25:
427 setEnd (-1070, -92); break;
428 case 26:
429 setEnd (-438, -125); break;
430 case 27:
431 setEnd (-721, -119); break;
432 case 28:
433 setEnd (-550, -122); break;
434 case 29:
435 setEnd (-555, -263); break;
436 case 30:
437 setEnd (-498, -235); break;
438 default:
439 break;
440 }
441 }
442
443 void MainWindow::FindPath ()
444 {
445 //Demo 在图片上绘线 在原有基础上 (+700, +440);
446 QVector<QPoint> v;
447
448 dj->dijkstra (startComboBox->currentIndex ());
449 //设置下一处的终点
450 nextPath = dj->get_Path (endComboBox->currentIndex ());
451
452 //准备绘制
453 Clear ();
454 //将路线绘制下来
455 QGraphicsPathItem *item = new QGraphicsPathItem();
456
457 QPen pen;
458 pen.setWidth (4);
459 pen.setColor (Qt::red);
460 item->setPen (pen);
461 item->setFlag (QGraphicsItem::ItemIsPanel);
462
463 // qDebug() << startX << " " << startY << " " << endX << " " << endY;
464
465 // qDebug() << "Hello World !";
466
467 //设置起点
468 // v << QPoint(startX + 700, startY + 440);
469
470 for (int i = 1; i < nextPath.size (); i++) {
471 qDebug() << nextPath[i] << " , ";
472 }
473 scene->addItem (item);
474
475 QPainterPath pa; //path
476 // setNextPos (nextPath[1]);
477 // item->setLine (startX + 700, startY + 440, endX + 700, endY + 440);
478 pa.moveTo (startX + 700, startY + 440);
479
480 for (int i = 1; i < nextPath.size() ; i++) {
481 setNextPos (nextPath[i]);
482 pa.lineTo (endX + 700, endY + 440);
483 }
484 item->setPath (pa);
485
486 }
487
488 void MainWindow::Clear ()
489 {
490 QList<QGraphicsItem*> listItem = scene->items ();
491 while (!listItem.empty ())
492 {
493 scene->removeItem (listItem.at (0));
494 listItem.removeAt (0);
495 }
496 QGraphicsPixmapItem *item =
497 scene->addPixmap (QPixmap("NanTong.jpg"));
498 // item->setFlag (QGraphicsItem::ItemIsMovable);
499 item->setPos (-500, -420);
500 }
501
502 void MainWindow::paintEvent (QPaintEvent *)
503 {
504
505 }
1 //Main.cpp
2 #include "mainwindow.h"
3 #include "mapwidget.h"
4 #include <QApplication>
5 #include <QFont>
6 #include <QDebug>
7
8 int main(int argc, char *argv[])
9 {
10 QApplication a(argc, argv);
11 QFont font("ARPL KaitiM GB", 12);
12 font.setBold (true);
13 a.setFont (font);
14
15 qDebug() << "Run............";
16 MainWindow w;
17 w.show ();
18
19
20 return a.exec();
21 }
