|
| 1 | +import unittest |
| 2 | + |
| 3 | +import heapq |
| 4 | +import operator |
| 5 | + |
| 6 | +from enum import Enum |
| 7 | +from threading import Thread, Barrier |
| 8 | +from random import shuffle, randint |
| 9 | + |
| 10 | +from test.support import threading_helper |
| 11 | + |
| 12 | + |
| 13 | +NTHREADS: int = 10 |
| 14 | +OBJECT_COUNT: int = 5_000 |
| 15 | + |
| 16 | + |
| 17 | +class HeapKind(Enum): |
| 18 | + MIN = 1 |
| 19 | + MAX = 2 |
| 20 | + |
| 21 | + |
| 22 | +@threading_helper.requires_working_threading() |
| 23 | +class TestHeapq(unittest.TestCase): |
| 24 | + def test_racing_heapify(self): |
| 25 | + heap = list(range(OBJECT_COUNT)) |
| 26 | + shuffle(heap) |
| 27 | + |
| 28 | + def heapify_func(heap: list[int]): |
| 29 | + heapq.heapify(heap) |
| 30 | + |
| 31 | + self.run_concurrently( |
| 32 | + worker_func=heapify_func, args=(heap,), nthreads=NTHREADS |
| 33 | + ) |
| 34 | + self.assertTrue(self.is_min_heap_property_satisfied(heap)) |
| 35 | + |
| 36 | + def test_racing_heappush(self): |
| 37 | + heap = [] |
| 38 | + |
| 39 | + def heappush_func(heap: list[int]): |
| 40 | + for item in reversed(range(OBJECT_COUNT)): |
| 41 | + heapq.heappush(heap, item) |
| 42 | + |
| 43 | + self.run_concurrently( |
| 44 | + worker_func=heappush_func, args=(heap,), nthreads=NTHREADS |
| 45 | + ) |
| 46 | + self.assertTrue(self.is_min_heap_property_satisfied(heap)) |
| 47 | + |
| 48 | + def test_racing_heappop(self): |
| 49 | + heap = list(range(OBJECT_COUNT)) |
| 50 | + shuffle(heap) |
| 51 | + heapq.heapify(heap) |
| 52 | + |
| 53 | + # Each thread pops (OBJECT_COUNT / NTHREADS) items |
| 54 | + self.assertEqual(0, OBJECT_COUNT % NTHREADS) |
| 55 | + per_thread_pop_count = OBJECT_COUNT // NTHREADS |
| 56 | + |
| 57 | + def heappop_func(heap: list[int], pop_count: int): |
| 58 | + local_list = [] |
| 59 | + for _ in range(pop_count): |
| 60 | + item = heapq.heappop(heap) |
| 61 | + local_list.append(item) |
| 62 | + |
| 63 | + # Each local list should be sorted |
| 64 | + self.assertTrue(self.is_sorted_ascending(local_list)) |
| 65 | + |
| 66 | + self.run_concurrently( |
| 67 | + worker_func=heappop_func, |
| 68 | + args=(heap, per_thread_pop_count), |
| 69 | + nthreads=NTHREADS, |
| 70 | + ) |
| 71 | + self.assertEqual(0, len(heap)) |
| 72 | + |
| 73 | + def test_racing_heappushpop(self): |
| 74 | + heap = list(range(OBJECT_COUNT)) |
| 75 | + shuffle(heap) |
| 76 | + heapq.heapify(heap) |
| 77 | + |
| 78 | + pushpop_items = [ |
| 79 | + randint(-OBJECT_COUNT, OBJECT_COUNT) for _ in range(OBJECT_COUNT) |
| 80 | + ] |
| 81 | + |
| 82 | + def heappushpop_func(heap: list[int], pushpop_items: list[int]): |
| 83 | + for item in pushpop_items: |
| 84 | + popped_item = heapq.heappushpop(heap, item) |
| 85 | + self.assertTrue(popped_item <= item) |
| 86 | + |
| 87 | + self.run_concurrently( |
| 88 | + worker_func=heappushpop_func, |
| 89 | + args=(heap, pushpop_items), |
| 90 | + nthreads=NTHREADS, |
| 91 | + ) |
| 92 | + self.assertEqual(OBJECT_COUNT, len(heap)) |
| 93 | + self.assertTrue(self.is_min_heap_property_satisfied(heap)) |
| 94 | + |
| 95 | + def test_racing_heapreplace(self): |
| 96 | + heap = list(range(OBJECT_COUNT)) |
| 97 | + shuffle(heap) |
| 98 | + heapq.heapify(heap) |
| 99 | + |
| 100 | + replace_items = [ |
| 101 | + randint(-OBJECT_COUNT, OBJECT_COUNT) for _ in range(OBJECT_COUNT) |
| 102 | + ] |
| 103 | + |
| 104 | + def heapreplace_func(heap: list[int], replace_items: list[int]): |
| 105 | + for item in replace_items: |
| 106 | + popped_item = heapq.heapreplace(heap, item) |
| 107 | + |
| 108 | + self.run_concurrently( |
| 109 | + worker_func=heapreplace_func, |
| 110 | + args=(heap, replace_items), |
| 111 | + nthreads=NTHREADS, |
| 112 | + ) |
| 113 | + self.assertEqual(OBJECT_COUNT, len(heap)) |
| 114 | + self.assertTrue(self.is_min_heap_property_satisfied(heap)) |
| 115 | + |
| 116 | + def test_racing_heapify_max(self): |
| 117 | + max_heap = list(range(OBJECT_COUNT)) |
| 118 | + shuffle(max_heap) |
| 119 | + |
| 120 | + def heapify_max_func(max_heap: list[int]): |
| 121 | + heapq.heapify_max(max_heap) |
| 122 | + |
| 123 | + self.run_concurrently( |
| 124 | + worker_func=heapify_max_func, args=(max_heap,), nthreads=NTHREADS |
| 125 | + ) |
| 126 | + self.assertTrue(self.is_max_heap_property_satisfied(max_heap)) |
| 127 | + |
| 128 | + def test_racing_heappush_max(self): |
| 129 | + max_heap = [] |
| 130 | + |
| 131 | + def heappush_max_func(max_heap: list[int]): |
| 132 | + for item in range(OBJECT_COUNT): |
| 133 | + heapq.heappush_max(max_heap, item) |
| 134 | + |
| 135 | + self.run_concurrently( |
| 136 | + worker_func=heappush_max_func, args=(max_heap,), nthreads=NTHREADS |
| 137 | + ) |
| 138 | + self.assertTrue(self.is_max_heap_property_satisfied(max_heap)) |
| 139 | + |
| 140 | + def test_racing_heappop_max(self): |
| 141 | + max_heap = list(range(OBJECT_COUNT)) |
| 142 | + shuffle(max_heap) |
| 143 | + heapq.heapify_max(max_heap) |
| 144 | + |
| 145 | + # Each thread pops (OBJECT_COUNT / NTHREADS) items |
| 146 | + self.assertEqual(0, OBJECT_COUNT % NTHREADS) |
| 147 | + per_thread_pop_count = OBJECT_COUNT // NTHREADS |
| 148 | + |
| 149 | + def heappop_max_func(max_heap: list[int], pop_count: int): |
| 150 | + local_list = [] |
| 151 | + for _ in range(pop_count): |
| 152 | + item = heapq.heappop_max(max_heap) |
| 153 | + local_list.append(item) |
| 154 | + |
| 155 | + # Each local list should be sorted |
| 156 | + self.assertTrue(self.is_sorted_descending(local_list)) |
| 157 | + |
| 158 | + self.run_concurrently( |
| 159 | + worker_func=heappop_max_func, |
| 160 | + args=(max_heap, per_thread_pop_count), |
| 161 | + nthreads=NTHREADS, |
| 162 | + ) |
| 163 | + self.assertEqual(0, len(max_heap)) |
| 164 | + |
| 165 | + def test_racing_heappushpop_max(self): |
| 166 | + max_heap = list(range(OBJECT_COUNT)) |
| 167 | + shuffle(max_heap) |
| 168 | + heapq.heapify_max(max_heap) |
| 169 | + |
| 170 | + pushpop_items = [ |
| 171 | + randint(-OBJECT_COUNT, OBJECT_COUNT) for _ in range(OBJECT_COUNT) |
| 172 | + ] |
| 173 | + |
| 174 | + def heappushpop_max_func( |
| 175 | + max_heap: list[int], pushpop_items: list[int] |
| 176 | + ): |
| 177 | + for item in pushpop_items: |
| 178 | + popped_item = heapq.heappushpop_max(max_heap, item) |
| 179 | + self.assertTrue(popped_item >= item) |
| 180 | + |
| 181 | + self.run_concurrently( |
| 182 | + worker_func=heappushpop_max_func, |
| 183 | + args=(max_heap, pushpop_items), |
| 184 | + nthreads=NTHREADS, |
| 185 | + ) |
| 186 | + self.assertEqual(OBJECT_COUNT, len(max_heap)) |
| 187 | + self.assertTrue(self.is_max_heap_property_satisfied(max_heap)) |
| 188 | + |
| 189 | + def test_racing_heapreplace_max(self): |
| 190 | + max_heap = list(range(OBJECT_COUNT)) |
| 191 | + shuffle(max_heap) |
| 192 | + heapq.heapify_max(max_heap) |
| 193 | + |
| 194 | + replace_items = [ |
| 195 | + randint(-OBJECT_COUNT, OBJECT_COUNT) for _ in range(OBJECT_COUNT) |
| 196 | + ] |
| 197 | + |
| 198 | + def heapreplace_max_func( |
| 199 | + max_heap: list[int], replace_items: list[int] |
| 200 | + ): |
| 201 | + for item in replace_items: |
| 202 | + popped_item = heapq.heapreplace_max(max_heap, item) |
| 203 | + |
| 204 | + self.run_concurrently( |
| 205 | + worker_func=heapreplace_max_func, |
| 206 | + args=(max_heap, replace_items), |
| 207 | + nthreads=NTHREADS, |
| 208 | + ) |
| 209 | + self.assertEqual(OBJECT_COUNT, len(max_heap)) |
| 210 | + self.assertTrue(self.is_max_heap_property_satisfied(max_heap)) |
| 211 | + |
| 212 | + def is_min_heap_property_satisfied(self, heap: list[object]) -> bool: |
| 213 | + """ |
| 214 | + The value of a parent node should be less than or equal to the |
| 215 | + values of its children. |
| 216 | + """ |
| 217 | + return self.is_heap_property_satisfied(heap, HeapKind.MIN) |
| 218 | + |
| 219 | + def is_max_heap_property_satisfied(self, heap: list[object]) -> bool: |
| 220 | + """ |
| 221 | + The value of a parent node should be greater than or equal to the |
| 222 | + values of its children. |
| 223 | + """ |
| 224 | + return self.is_heap_property_satisfied(heap, HeapKind.MAX) |
| 225 | + |
| 226 | + @staticmethod |
| 227 | + def is_heap_property_satisfied( |
| 228 | + heap: list[object], heap_kind: HeapKind |
| 229 | + ) -> bool: |
| 230 | + """ |
| 231 | + Check if the heap property is satisfied. |
| 232 | + """ |
| 233 | + op = operator.le if heap_kind == HeapKind.MIN else operator.ge |
| 234 | + # position 0 has no parent |
| 235 | + for pos in range(1, len(heap)): |
| 236 | + parent_pos = (pos - 1) >> 1 |
| 237 | + if not op(heap[parent_pos], heap[pos]): |
| 238 | + return False |
| 239 | + |
| 240 | + return True |
| 241 | + |
| 242 | + @staticmethod |
| 243 | + def is_sorted_ascending(lst: list[object]) -> bool: |
| 244 | + """ |
| 245 | + Check if the list is sorted in ascending order (non-decreasing). |
| 246 | + """ |
| 247 | + return all(lst[i - 1] <= lst[i] for i in range(1, len(lst))) |
| 248 | + |
| 249 | + @staticmethod |
| 250 | + def is_sorted_descending(lst: list[object]) -> bool: |
| 251 | + """ |
| 252 | + Check if the list is sorted in descending order (non-increasing). |
| 253 | + """ |
| 254 | + return all(lst[i - 1] >= lst[i] for i in range(1, len(lst))) |
| 255 | + |
| 256 | + @staticmethod |
| 257 | + def run_concurrently(worker_func, args, nthreads) -> None: |
| 258 | + """ |
| 259 | + Run the worker function concurrently in multiple threads. |
| 260 | + """ |
| 261 | + barrier = Barrier(NTHREADS) |
| 262 | + |
| 263 | + def wrapper_func(*args): |
| 264 | + # Wait for all threadss to reach this point before proceeding. |
| 265 | + barrier.wait() |
| 266 | + worker_func(*args) |
| 267 | + |
| 268 | + workers = [] |
| 269 | + for _ in range(nthreads): |
| 270 | + worker = Thread(target=wrapper_func, args=args) |
| 271 | + workers.append(worker) |
| 272 | + worker.start() |
| 273 | + |
| 274 | + for worker in workers: |
| 275 | + worker.join() |
| 276 | + |
| 277 | + |
| 278 | +if __name__ == "__main__": |
| 279 | + unittest.main() |
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