|
| 1 | +""" |
| 2 | +Comprehensive unit tests for A* pathfinding — generated test suite. |
| 3 | +
|
| 4 | +Tests use unittest (not pytest fixtures). |
| 5 | +Import: find_path, Point from grid |
| 6 | +""" |
| 7 | + |
| 8 | +import time |
| 9 | +import unittest |
| 10 | +from grid import find_path, Point |
| 11 | + |
| 12 | + |
| 13 | +def is_valid_path(grid: list[list[int]], path: list[Point]) -> bool: |
| 14 | + """Verify each step is adjacent (Manhattan distance 1) and on walkable terrain.""" |
| 15 | + for i, (r, c) in enumerate(path): |
| 16 | + if r < 0 or r >= len(grid) or c < 0 or c >= len(grid[0]): |
| 17 | + return False |
| 18 | + if grid[r][c] != 0: |
| 19 | + return False |
| 20 | + if i > 0: |
| 21 | + pr, pc = path[i - 1] |
| 22 | + if abs(r - pr) + abs(c - pc) != 1: |
| 23 | + return False |
| 24 | + return True |
| 25 | + |
| 26 | + |
| 27 | +class TestStraightLine(unittest.TestCase): |
| 28 | + """Test 1: Straight-line path with no obstacles.""" |
| 29 | + |
| 30 | + def test_horizontal_no_obstacles(self): |
| 31 | + # Single row, walk right from col 0 to col 5 — path length must be 6 |
| 32 | + grid = [[0, 0, 0, 0, 0, 0]] |
| 33 | + result = find_path(grid, (0, 0), (0, 5)) |
| 34 | + self.assertIsNotNone(result) |
| 35 | + self.assertEqual(result.path[0], (0, 0)) |
| 36 | + self.assertEqual(result.path[-1], (0, 5)) |
| 37 | + self.assertEqual(len(result.path), 6) |
| 38 | + self.assertTrue(is_valid_path(grid, result.path)) |
| 39 | + |
| 40 | + def test_vertical_no_obstacles(self): |
| 41 | + # Single column, walk down from row 0 to row 4 — path length must be 5 |
| 42 | + grid = [[0]] * 5 |
| 43 | + result = find_path(grid, (0, 0), (4, 0)) |
| 44 | + self.assertIsNotNone(result) |
| 45 | + self.assertEqual(result.path[0], (0, 0)) |
| 46 | + self.assertEqual(result.path[-1], (4, 0)) |
| 47 | + self.assertEqual(len(result.path), 5) |
| 48 | + self.assertTrue(is_valid_path(grid, result.path)) |
| 49 | + |
| 50 | + def test_diagonal_corner_open_grid(self): |
| 51 | + # Open 4x4 grid: Manhattan distance from (0,0) to (3,3) = 6, so path length = 7 |
| 52 | + grid = [ |
| 53 | + [0, 0, 0, 0], |
| 54 | + [0, 0, 0, 0], |
| 55 | + [0, 0, 0, 0], |
| 56 | + [0, 0, 0, 0], |
| 57 | + ] |
| 58 | + result = find_path(grid, (0, 0), (3, 3)) |
| 59 | + self.assertIsNotNone(result) |
| 60 | + self.assertEqual(len(result.path), 7) |
| 61 | + self.assertTrue(is_valid_path(grid, result.path)) |
| 62 | + |
| 63 | + |
| 64 | +class TestAroundObstacles(unittest.TestCase): |
| 65 | + """Test 2: Path must detour around walls.""" |
| 66 | + |
| 67 | + def test_single_wall_column(self): |
| 68 | + # Wall at col 2 forces path around via col 0 bottom or top edge. |
| 69 | + # Grid 3 rows x 5 cols, wall runs down col 2 (rows 0–1 only). |
| 70 | + # Start (0,0) → End (0,4): |
| 71 | + # Must go (0,0)→(1,0)→(2,0)→(2,1)→(2,2)→(2,3)→(2,4)→(1,4)→(0,4) = 9 nodes |
| 72 | + grid = [ |
| 73 | + [0, 0, 1, 0, 0], |
| 74 | + [0, 0, 1, 0, 0], |
| 75 | + [0, 0, 0, 0, 0], |
| 76 | + ] |
| 77 | + result = find_path(grid, (0, 0), (0, 4)) |
| 78 | + self.assertIsNotNone(result) |
| 79 | + self.assertEqual(result.path[0], (0, 0)) |
| 80 | + self.assertEqual(result.path[-1], (0, 4)) |
| 81 | + self.assertEqual(len(result.path), 9) |
| 82 | + self.assertTrue(is_valid_path(grid, result.path)) |
| 83 | + |
| 84 | + def test_u_shaped_obstacle(self): |
| 85 | + # U-shaped wall forces path around the outside. |
| 86 | + # Grid 4x4, wall forms a U opening upward. |
| 87 | + # Start (0,0) → End (3,3) |
| 88 | + grid = [ |
| 89 | + [0, 0, 0, 0], |
| 90 | + [0, 1, 1, 0], |
| 91 | + [0, 1, 1, 0], |
| 92 | + [0, 0, 0, 0], |
| 93 | + ] |
| 94 | + result = find_path(grid, (0, 0), (3, 3)) |
| 95 | + self.assertIsNotNone(result) |
| 96 | + self.assertTrue(is_valid_path(grid, result.path)) |
| 97 | + # Shortest path must skirt the 2x2 block: Manhattan cost = 6, path = 7 nodes |
| 98 | + self.assertEqual(len(result.path), 7) |
| 99 | + |
| 100 | + |
| 101 | +class TestUnreachable(unittest.TestCase): |
| 102 | + """Test 3: Goal is completely walled off.""" |
| 103 | + |
| 104 | + def test_target_enclosed_by_walls(self): |
| 105 | + # Target (1,1) surrounded on all sides by walls. |
| 106 | + grid = [ |
| 107 | + [0, 0, 0, 0, 0], |
| 108 | + [0, 1, 1, 1, 0], |
| 109 | + [0, 1, 0, 1, 0], |
| 110 | + [0, 1, 1, 1, 0], |
| 111 | + [0, 0, 0, 0, 0], |
| 112 | + ] |
| 113 | + result = find_path(grid, (0, 0), (2, 2)) |
| 114 | + self.assertIsNone(result) |
| 115 | + |
| 116 | + def test_source_enclosed_by_walls(self): |
| 117 | + # Start (2,2) is the enclosed cell; target is open. |
| 118 | + grid = [ |
| 119 | + [0, 0, 0, 0, 0], |
| 120 | + [0, 1, 1, 1, 0], |
| 121 | + [0, 1, 0, 1, 0], |
| 122 | + [0, 1, 1, 1, 0], |
| 123 | + [0, 0, 0, 0, 0], |
| 124 | + ] |
| 125 | + result = find_path(grid, (2, 2), (0, 0)) |
| 126 | + self.assertIsNone(result) |
| 127 | + |
| 128 | + def test_full_wall_column_divides_grid(self): |
| 129 | + # Full column wall separates left from right half. |
| 130 | + grid = [ |
| 131 | + [0, 1, 0], |
| 132 | + [0, 1, 0], |
| 133 | + [0, 1, 0], |
| 134 | + ] |
| 135 | + result = find_path(grid, (0, 0), (2, 2)) |
| 136 | + self.assertIsNone(result) |
| 137 | + |
| 138 | + |
| 139 | +class TestStartEqualsEnd(unittest.TestCase): |
| 140 | + """Test 4: Start and end are the same cell.""" |
| 141 | + |
| 142 | + def test_same_cell_returns_single_node_path(self): |
| 143 | + grid = [[0, 0, 0], [0, 0, 0], [0, 0, 0]] |
| 144 | + result = find_path(grid, (1, 1), (1, 1)) |
| 145 | + self.assertIsNotNone(result) |
| 146 | + self.assertEqual(len(result.path), 1) |
| 147 | + self.assertEqual(result.path[0], (1, 1)) |
| 148 | + |
| 149 | + def test_same_cell_top_left_corner(self): |
| 150 | + grid = [[0, 0], [0, 0]] |
| 151 | + result = find_path(grid, (0, 0), (0, 0)) |
| 152 | + self.assertIsNotNone(result) |
| 153 | + self.assertEqual(len(result.path), 1) |
| 154 | + self.assertEqual(result.path[0], (0, 0)) |
| 155 | + |
| 156 | + def test_same_cell_nodes_explored_minimal(self): |
| 157 | + grid = [[0, 0], [0, 0]] |
| 158 | + result = find_path(grid, (0, 0), (0, 0)) |
| 159 | + self.assertIsNotNone(result) |
| 160 | + # Only the start cell needs to be examined |
| 161 | + self.assertGreaterEqual(result.nodes_explored, 1) |
| 162 | + |
| 163 | + |
| 164 | +class TestMaze(unittest.TestCase): |
| 165 | + """ |
| 166 | + Test 5: Maze with a single forced route. |
| 167 | +
|
| 168 | + Grid (5x5): |
| 169 | + col: 0 1 2 3 4 |
| 170 | + row 0: [0, 0, 1, 0, 0] |
| 171 | + row 1: [1, 0, 1, 0, 1] |
| 172 | + row 2: [1, 0, 0, 0, 1] |
| 173 | + row 3: [0, 0, 1, 0, 0] |
| 174 | + row 4: [0, 1, 1, 1, 0] |
| 175 | +
|
| 176 | + Start: (0,0) End: (4,4) |
| 177 | +
|
| 178 | + Hand-traced shortest path: |
| 179 | + (0,0) → right → (0,1) [only move; down (1,0)=wall] |
| 180 | + (0,1) → down → (1,1) [right (0,2)=wall] |
| 181 | + (1,1) → down → (2,1) [left (1,0)=wall, right (1,2)=wall] |
| 182 | + (2,1) → right → (2,2) [left (2,0)=wall; down (3,1) leads to dead-end pocket] |
| 183 | + (2,2) → right → (2,3) |
| 184 | + (2,3) → down → (3,3) [right (2,4)=wall; up (1,3)→(0,3)→(0,4) is dead end] |
| 185 | + (3,3) → right → (3,4) [down (4,3)=wall, left (3,2)=wall] |
| 186 | + (3,4) → down → (4,4) ✓ |
| 187 | +
|
| 188 | + Path: (0,0),(0,1),(1,1),(2,1),(2,2),(2,3),(3,3),(3,4),(4,4) |
| 189 | + Length: 9 nodes |
| 190 | + """ |
| 191 | + |
| 192 | + MAZE = [ |
| 193 | + [0, 0, 1, 0, 0], |
| 194 | + [1, 0, 1, 0, 1], |
| 195 | + [1, 0, 0, 0, 1], |
| 196 | + [0, 0, 1, 0, 0], |
| 197 | + [0, 1, 1, 1, 0], |
| 198 | + ] |
| 199 | + |
| 200 | + def test_maze_path_found(self): |
| 201 | + result = find_path(self.MAZE, (0, 0), (4, 4)) |
| 202 | + self.assertIsNotNone(result) |
| 203 | + |
| 204 | + def test_maze_endpoints(self): |
| 205 | + result = find_path(self.MAZE, (0, 0), (4, 4)) |
| 206 | + self.assertIsNotNone(result) |
| 207 | + self.assertEqual(result.path[0], (0, 0)) |
| 208 | + self.assertEqual(result.path[-1], (4, 4)) |
| 209 | + |
| 210 | + def test_maze_path_is_valid(self): |
| 211 | + result = find_path(self.MAZE, (0, 0), (4, 4)) |
| 212 | + self.assertIsNotNone(result) |
| 213 | + self.assertTrue(is_valid_path(self.MAZE, result.path)) |
| 214 | + |
| 215 | + def test_maze_shortest_path_length(self): |
| 216 | + # As hand-traced above, shortest path visits exactly 9 nodes. |
| 217 | + result = find_path(self.MAZE, (0, 0), (4, 4)) |
| 218 | + self.assertIsNotNone(result) |
| 219 | + self.assertEqual(len(result.path), 9) |
| 220 | + |
| 221 | + def test_maze_exact_route(self): |
| 222 | + # There is only one path through this maze — verify the exact sequence. |
| 223 | + expected = [ |
| 224 | + (0, 0), (0, 1), |
| 225 | + (1, 1), |
| 226 | + (2, 1), (2, 2), (2, 3), |
| 227 | + (3, 3), (3, 4), |
| 228 | + (4, 4), |
| 229 | + ] |
| 230 | + result = find_path(self.MAZE, (0, 0), (4, 4)) |
| 231 | + self.assertIsNotNone(result) |
| 232 | + self.assertEqual(result.path, expected) |
| 233 | + |
| 234 | + |
| 235 | +class TestPerformance(unittest.TestCase): |
| 236 | + """Test 6: 50x50 grid completes in under 1 second.""" |
| 237 | + |
| 238 | + def test_large_open_grid(self): |
| 239 | + size = 50 |
| 240 | + grid = [[0] * size for _ in range(size)] |
| 241 | + |
| 242 | + start_time = time.perf_counter() |
| 243 | + result = find_path(grid, (0, 0), (size - 1, size - 1)) |
| 244 | + elapsed = time.perf_counter() - start_time |
| 245 | + |
| 246 | + self.assertIsNotNone(result) |
| 247 | + self.assertTrue(is_valid_path(grid, result.path)) |
| 248 | + self.assertLess(elapsed, 1.0, f"Took {elapsed:.3f}s, must be < 1s") |
| 249 | + |
| 250 | + def test_large_grid_with_obstacle_channel(self): |
| 251 | + # Wall runs down the middle except for a gap at the bottom, |
| 252 | + # forcing path to travel the full height before crossing. |
| 253 | + size = 50 |
| 254 | + mid = size // 2 |
| 255 | + grid = [[0] * size for _ in range(size)] |
| 256 | + for r in range(0, size - 1): # leave bottom row open |
| 257 | + grid[r][mid] = 1 |
| 258 | + |
| 259 | + start_time = time.perf_counter() |
| 260 | + result = find_path(grid, (0, 0), (0, size - 1)) |
| 261 | + elapsed = time.perf_counter() - start_time |
| 262 | + |
| 263 | + self.assertIsNotNone(result) |
| 264 | + self.assertTrue(is_valid_path(grid, result.path)) |
| 265 | + self.assertLess(elapsed, 1.0, f"Took {elapsed:.3f}s, must be < 1s") |
| 266 | + |
| 267 | + def test_large_grid_path_length_optimal(self): |
| 268 | + # On a fully open 50x50 grid, Manhattan optimal is (49+49)+1 = 99 nodes. |
| 269 | + size = 50 |
| 270 | + grid = [[0] * size for _ in range(size)] |
| 271 | + result = find_path(grid, (0, 0), (size - 1, size - 1)) |
| 272 | + self.assertIsNotNone(result) |
| 273 | + self.assertEqual(len(result.path), 99) |
| 274 | + |
| 275 | + |
| 276 | +class TestNodesExplored(unittest.TestCase): |
| 277 | + """Test 7: nodes_explored is reasonable — > 0 and < total grid cells.""" |
| 278 | + |
| 279 | + def test_nodes_explored_positive(self): |
| 280 | + grid = [[0, 0, 0], [0, 0, 0], [0, 0, 0]] |
| 281 | + result = find_path(grid, (0, 0), (2, 2)) |
| 282 | + self.assertIsNotNone(result) |
| 283 | + self.assertGreater(result.nodes_explored, 0) |
| 284 | + |
| 285 | + def test_nodes_explored_below_grid_size(self): |
| 286 | + grid = [[0, 0, 0], [0, 0, 0], [0, 0, 0]] |
| 287 | + result = find_path(grid, (0, 0), (2, 2)) |
| 288 | + self.assertIsNotNone(result) |
| 289 | + total_cells = 3 * 3 |
| 290 | + self.assertLessEqual(result.nodes_explored, total_cells) |
| 291 | + |
| 292 | + def test_nodes_explored_unreachable_covers_component(self): |
| 293 | + # All cells left of the wall are explored when target is unreachable. |
| 294 | + grid = [ |
| 295 | + [0, 1, 0], |
| 296 | + [0, 1, 0], |
| 297 | + [0, 1, 0], |
| 298 | + ] |
| 299 | + result = find_path(grid, (0, 0), (0, 2)) |
| 300 | + self.assertIsNone(result) |
| 301 | + # find_path must return None (not raise); nodes_explored only available on success |
| 302 | + |
| 303 | + def test_nodes_explored_large_grid_heuristic(self): |
| 304 | + # A* with a good heuristic should explore well under the full grid. |
| 305 | + size = 20 |
| 306 | + grid = [[0] * size for _ in range(size)] |
| 307 | + result = find_path(grid, (0, 0), (size - 1, size - 1)) |
| 308 | + self.assertIsNotNone(result) |
| 309 | + total_cells = size * size |
| 310 | + self.assertGreater(result.nodes_explored, 0) |
| 311 | + self.assertLess(result.nodes_explored, total_cells) |
| 312 | + |
| 313 | + def test_nodes_explored_start_equals_end(self): |
| 314 | + grid = [[0, 0], [0, 0]] |
| 315 | + result = find_path(grid, (0, 0), (0, 0)) |
| 316 | + self.assertIsNotNone(result) |
| 317 | + self.assertGreaterEqual(result.nodes_explored, 1) |
| 318 | + |
| 319 | + |
| 320 | +if __name__ == "__main__": |
| 321 | + unittest.main() |
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