Newer
Older
// ShortestPathTest.cpp
//
// Created on: 21. 01. 2018
// Author: Jan Uhlik
// Modified by:
//
// Copyright (c) 2017 Czech Technical University in Prague | Faculty of Information Technology. All rights reserved.
// Git repository: https://gitlab.fit.cvut.cz/algorithms-library-toolkit/automata-library
#include <graph/GraphClasses.hpp>
#include <node/NodeClasses.hpp>
#include <edge/EdgeClasses.hpp>
#include <heuristic/SquareGridHeuristics.hpp>
#include <traverse/BFS.hpp>
#include <traverse/IDDFS.hpp>
#include <shortest_path/BellmanFord.hpp>
#include <shortest_path/SPFA.hpp>
#include "shortest_path/Dijkstra.hpp"
#include <shortest_path/AStar.hpp>
#include <shortest_path/IDAStar.hpp>
#include <shortest_path/MM.hpp>
#include <shortest_path/JPS.hpp>
#include <generate/RandomGraphFactory.hpp>
#include <generate/RandomGridFactory.hpp>
using namespace graph;
const double EPS = 10E-7; // Magic constant for double compare
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
TEST_CASE ( "Shortest Path", "[unit][graph][shortest_path]" ) {
SECTION ( "BFS" ) {
graph::DirectedGraph<int, edge::WeightedEdge<int>> graph;
graph.addNode(1);
graph.addNode(2);
graph.addNode(3);
graph.addNode(4);
graph.addNode(5);
graph.addEdge(edge::WeightedEdge<int>(1, 2, 5));
graph.addEdge(edge::WeightedEdge<int>(2, 3, 3));
graph.addEdge(edge::WeightedEdge<int>(3, 4, 3));
graph.addEdge(edge::WeightedEdge<int>(4, 5, 5));
graph.addEdge(edge::WeightedEdge<int>(2, 4, 4));
auto res1 = traverse::BFS::findPath(graph, 1, 5);
auto res2 = traverse::BFS::findPathBidirectional(graph, 1, 5);
ext::vector<int> res = {1, 2, 4, 5};
CHECK(res1 == res);
CHECK(res1.size() == res.size());
CHECK(res2 == res);
CHECK(res2.size() == res.size());
}
// ---------------------------------------------------------------------------------------------------------------------
SECTION ( "IDDFS" ) {
graph::DirectedGraph<int, ext::pair<int, int>> graph;
graph.addNode(1);
graph.addNode(2);
graph.addNode(3);
graph.addNode(4);
graph.addNode(5);
graph.addNode(5);
graph.addNode(6);
graph.addNode(7);
graph.addNode(8);
graph.addEdge(1, 2);
graph.addEdge(1, 3);
graph.addEdge(1, 4);
graph.addEdge(2, 5);
graph.addEdge(2, 6);
graph.addEdge(3, 7);
graph.addEdge(6, 8);
auto bfs = traverse::BFS::findPath(graph, 1, 8);
auto iddfs = traverse::IDDFS::findPath(graph, 1, 8);
auto iddfsBi = traverse::IDDFS::findPathBidirectional(graph, 1, 8);
CHECK(bfs == iddfs);
CHECK(iddfsBi == iddfs);
}
// ---------------------------------------------------------------------------------------------------------------------
SECTION ( "Dijkstra" ) {
graph::UndirectedGraph<int, edge::WeightedEdge<int>> graph;
graph.addNode(1);
graph.addNode(2);
graph.addNode(3);
graph.addNode(4);
graph.addNode(5);
graph.addEdge(edge::WeightedEdge<int>(1, 2, 5));
graph.addEdge(edge::WeightedEdge<int>(2, 3, 3));
graph.addEdge(edge::WeightedEdge<int>(3, 4, 3));
graph.addEdge(edge::WeightedEdge<int>(4, 5, 5));
graph.addEdge(edge::WeightedEdge<int>(2, 4, 4));
auto res1 = graph::shortest_path::Dijkstra::findPath(graph, 1, 5);
auto res2 = graph::shortest_path::Dijkstra::findPathBidirectional(graph, 1, 5);
ext::vector<int> res = {1, 2, 4, 5};
CHECK(res1.first == res);
CHECK(res1.second == 14);
CHECK(res2.first == res);
CHECK(res2.second == 14);
}
// ---------------------------------------------------------------------------------------------------------------------
SECTION ( "BFS grid" ) {
grid::SquareGrid4<> graph(10, 10);
using node_type = decltype(graph)::node_type;
graph.addObstacle(3, 2);
graph.addObstacle(3, 3);
graph.addObstacle(3, 4);
graph.addObstacle(3, 5);
graph.addObstacle(4, 5);
graph.addObstacle(5, 5);
graph.addObstacle(6, 5);
node_type start = ext::make_pair(8l, 2l);
node_type goal = ext::make_pair(1l, 9l);
auto res1 = traverse::BFS::findPath(graph, start, goal);
auto res2 = traverse::BFS::findPathBidirectional(graph, start, goal);
CHECK(res1.size() == 15);
CHECK(res1.size() == res2.size());
}
// ---------------------------------------------------------------------------------------------------------------------
SECTION ( "Dijkstra Grid" ) {
grid::WeightedSquareGrid8<> graph(10, 10);
using node_type = decltype(graph)::node_type;
graph.addObstacle(3, 2);
graph.addObstacle(3, 3);
graph.addObstacle(3, 4);
graph.addObstacle(3, 5);
graph.addObstacle(4, 5);
graph.addObstacle(5, 5);
graph.addObstacle(6, 5);
node_type start = ext::make_pair(8l, 2l);
node_type goal = ext::make_pair(1l, 9l);
auto res1 = graph::shortest_path::Dijkstra::findPath(graph, start, goal);
auto res2 = graph::shortest_path::Dijkstra::findPathBidirectional(graph, start, goal);
CHECK(fabs(res1.second - (M_SQRT2 * 5 + 4)) < EPS);
CHECK(res1.second == res2.second);
}
// ---------------------------------------------------------------------------------------------------------------------
SECTION ( "A* Grid" ) {
grid::WeightedSquareGrid8<> graph(11, 11);
using node_type = decltype(graph)::node_type;
graph.addObstacle(2, 5);
graph.addObstacle(3, 5);
graph.addObstacle(4, 5);
graph.addObstacle(5, 5);
graph.addObstacle(6, 5);
graph.addObstacle(7, 5);
graph.addObstacle(5, 3);
graph.addObstacle(5, 4);
graph.addObstacle(5, 6);
graph.addObstacle(5, 7);
graph.addObstacle(5, 8);
node_type start = ext::make_pair(9l, 1l);
node_type goal = ext::make_pair(1l, 9l);
auto f_heuristic_forward = [&](const node_type &n) -> double {
return heuristic::DiagonalDistance::diagonalDistance(goal, n);
};
auto f_heuristic_backward = [&](const node_type &n) -> double {
return heuristic::DiagonalDistance::diagonalDistance(start, n);
};
auto res1 = graph::shortest_path::AStar::findPath(graph,
start,
goal,
f_heuristic_forward);
auto res2 = graph::shortest_path::AStar::findPathBidirectional(graph,
start,
goal,
f_heuristic_forward,
f_heuristic_backward);
auto res3 = graph::shortest_path::MM::findPathBidirectional(graph,
start,
goal,
f_heuristic_forward,
f_heuristic_backward);
CHECK(fabs(res1.second - (M_SQRT2 * 4 + 8)) < EPS);
CHECK(res1.second == res2.second);
CHECK(res2.second == res3.second);
}
// ---------------------------------------------------------------------------------------------------------------------
SECTION ( "All" ) {
graph::UndirectedGraph<int, edge::WeightedEdge<int, int>> graph;
int start = 5;
int goal = 17;
auto f_heuristic = [&](const int &) -> int {
return 0;
};
graph.addNode(1);
graph.addNode(2);
graph.addNode(3);
graph.addNode(4);
graph.addNode(5);
graph.addNode(6);
graph.addNode(7);
graph.addNode(8);
graph.addNode(9);
graph.addNode(10);
graph.addNode(11);
graph.addNode(12);
graph.addNode(13);
graph.addNode(14);
graph.addNode(15);
graph.addNode(16);
graph.addNode(17);
graph.addNode(18);
graph.addNode(19);
graph.addNode(20);
graph.addEdge(1, 5, 10);
graph.addEdge(2, 3, 20);
graph.addEdge(2, 4, 4);
graph.addEdge(2, 6, 19);
graph.addEdge(2, 5, 9);
graph.addEdge(4, 7, 21);
graph.addEdge(5, 6, 24);
graph.addEdge(6, 7, 1);
graph.addEdge(6, 8, 3);
graph.addEdge(6, 9, 15);
graph.addEdge(7, 10, 18);
graph.addEdge(8, 12, 22);
graph.addEdge(9, 11, 14);
graph.addEdge(10, 18, 50); //
graph.addEdge(10, 11, 8);
graph.addEdge(11, 13, 2);
graph.addEdge(12, 13, 5);
graph.addEdge(13, 14, 13);
graph.addEdge(13, 19, 7);
graph.addEdge(14, 15, 16);
graph.addEdge(15, 16, 6);
graph.addEdge(15, 17, 25);
graph.addEdge(16, 18, 17);
graph.addEdge(17, 18, 12);
graph.addEdge(17, 20, 11);
graph.addEdge(19, 20, 23);
auto dijkstra = graph::shortest_path::Dijkstra::findPath(graph, start, goal);
auto dijkstraBi = graph::shortest_path::Dijkstra::findPathBidirectional(graph, start, goal);
auto bellmanFord = graph::shortest_path::BellmanFord::findPath(graph, start, goal);
auto spfa = graph::shortest_path::SPFA::findPath(graph, start, goal);
auto astar = graph::shortest_path::AStar::findPath(graph, start, goal, f_heuristic);
auto idastar = graph::shortest_path::IDAStar::findPath(graph, start, goal, f_heuristic);
auto astarBi = graph::shortest_path::AStar::findPathBidirectional(graph, start, goal, f_heuristic, f_heuristic);
auto mm = graph::shortest_path::MM::findPathBidirectional(graph, start, goal, f_heuristic, f_heuristic);
CHECK(dijkstra.second == 94);
CHECK(dijkstra == dijkstraBi);
CHECK(bellmanFord == dijkstraBi);
CHECK(bellmanFord == spfa);
CHECK(astar == spfa);
CHECK(astar == idastar);
CHECK(astarBi == idastar);
CHECK(astarBi == mm);
auto BFS = traverse::BFS::findPath(graph, start, goal);
auto BFSBi = traverse::BFS::findPathBidirectional(graph, start, goal);
CHECK(BFS == BFSBi);
}
// ---------------------------------------------------------------------------------------------------------------------
SECTION ( "All Grid" ) {
grid::WeightedSquareGrid8<int, edge::WeightedEdge<ext::pair<int, int>, double>> graph(11, 11);
using node_type = ext::pair<int, int>;
auto start = ext::make_pair(8, 2);
auto goal = ext::make_pair(1, 9);
graph.addObstacle(2, 5);
graph.addObstacle(3, 5);
graph.addObstacle(4, 5);
graph.addObstacle(5, 5);
graph.addObstacle(6, 5);
graph.addObstacle(7, 5);
graph.addObstacle(5, 3);
graph.addObstacle(5, 4);
graph.addObstacle(5, 6);
graph.addObstacle(5, 7);
graph.addObstacle(5, 8);
auto f_heuristic_forward = [&](const node_type &n) -> double {
return heuristic::DiagonalDistance::diagonalDistance(goal, n);
};
auto f_heuristic_backward = [&](const node_type &n) -> double {
return heuristic::DiagonalDistance::diagonalDistance(start, n);
};
auto dijkstra = graph::shortest_path::Dijkstra::findPath(graph, start, goal);
auto dijkstraBi = graph::shortest_path::Dijkstra::findPathBidirectional(graph, start, goal);
auto bellmanFord = graph::shortest_path::BellmanFord::findPath(graph, start, goal);
auto spfa = graph::shortest_path::SPFA::findPath(graph, start, goal);
auto astar = graph::shortest_path::AStar::findPath(graph, start, goal, f_heuristic_forward);
auto idastar = graph::shortest_path::IDAStar::findPath(graph, start, goal, f_heuristic_forward);
auto astarBi = graph::shortest_path::AStar::findPathBidirectional(graph, start, goal, f_heuristic_forward, f_heuristic_backward);
auto mm = graph::shortest_path::MM::findPathBidirectional(graph, start, goal, f_heuristic_forward, f_heuristic_backward);
auto jps = graph::shortest_path::JPS::findPath(graph, start, goal, f_heuristic_forward);
CHECK(fabs(dijkstra.second - (M_SQRT2 * 3 + 8)) < EPS);
CHECK(fabs(dijkstra.second - dijkstraBi.second) < EPS);
CHECK(fabs(bellmanFord.second - dijkstraBi.second) < EPS);
CHECK(fabs(bellmanFord.second - spfa.second) < EPS);
CHECK(fabs(astar.second - spfa.second) < EPS);
CHECK(fabs(astar.second - idastar.second) < EPS);
CHECK(fabs(astarBi.second - idastar.second) < EPS);
CHECK(fabs(astarBi.second - mm.second) < EPS);
CHECK(fabs(jps.second - mm.second) < EPS);
}
// ---------------------------------------------------------------------------------------------------------------------
SECTION ( "All Grid Random" ) {
auto graph_tuple = generate::RandomGridFactory::
randomGrid<grid::WeightedSquareGrid8<long, edge::WeightedEdge<ext::pair<long, long>>>>(50, 50, 100);
auto graph = std::get<0>(graph_tuple);
auto start = std::get<1>(graph_tuple);
auto goal = std::get<2>(graph_tuple);
using weight_type = decltype(graph)::edge_type::weight_type;
using node_type = decltype(graph)::node_type;
auto f_heuristic_forward = [&](const node_type &n) -> weight_type {
return heuristic::DiagonalDistance::diagonalDistance(goal, n);
};
auto f_heuristic_backward = [&](const node_type &n) -> weight_type {
return heuristic::DiagonalDistance::diagonalDistance(start, n);
};
auto dijkstra = graph::shortest_path::Dijkstra::findPath(graph, start, goal);
auto dijkstraBi = graph::shortest_path::Dijkstra::findPathBidirectional(graph, start, goal);
auto bellmanFord = graph::shortest_path::BellmanFord::findPath(graph, start, goal);
auto spfa = graph::shortest_path::SPFA::findPath(graph, start, goal);
auto astar = graph::shortest_path::AStar::findPath(graph, start, goal, f_heuristic_forward);
auto astarBi = graph::shortest_path::AStar::findPathBidirectional(graph, start, goal, f_heuristic_forward, f_heuristic_backward);
auto mm = graph::shortest_path::MM::findPathBidirectional(graph, start, goal, f_heuristic_forward, f_heuristic_backward);
auto jps = graph::shortest_path::JPS::findPath(graph, start, goal, f_heuristic_forward);
CHECK(fabs(dijkstra.second - dijkstraBi.second) < EPS);
CHECK(fabs(bellmanFord.second - dijkstraBi.second) < EPS);
CHECK(fabs(bellmanFord.second - spfa.second) < EPS);
CHECK(fabs(astar.second - spfa.second) < EPS);
CHECK(fabs(astarBi.second - astar.second) < EPS);
CHECK(fabs(astarBi.second - mm.second) < EPS);
CHECK(fabs(jps.second - mm.second) < EPS);
}