|
| 1 | +# Owner(s): ["module: inductor"] |
| 2 | + |
| 3 | +import pytest |
| 4 | +from hypothesis import given, strategies as st |
| 5 | + |
| 6 | +from torch._inductor.codegen.segmented_tree import SegmentedTree |
| 7 | +from torch.testing._internal.common_utils import run_tests |
| 8 | + |
| 9 | + |
| 10 | +# Helper functions for operations |
| 11 | +def max_op(a, b): |
| 12 | + return max(a, b) |
| 13 | + |
| 14 | + |
| 15 | +def add_op(a, b): |
| 16 | + return a + b |
| 17 | + |
| 18 | + |
| 19 | +# Naive implementations for reference |
| 20 | +def naive_range_max(arr, start, end): |
| 21 | + return max(arr[start : end + 1]) |
| 22 | + |
| 23 | + |
| 24 | +def naive_range_update(arr, start, end, value): |
| 25 | + for i in range(start, end + 1): |
| 26 | + arr[i] += value |
| 27 | + |
| 28 | + |
| 29 | +# Strategies for hypothesis testing |
| 30 | +positive_integers = st.lists( |
| 31 | + st.integers(min_value=1, max_value=100), min_size=1, max_size=50 |
| 32 | +) |
| 33 | + |
| 34 | + |
| 35 | +def valid_range_indices(array_length): |
| 36 | + return st.tuples( |
| 37 | + st.integers(min_value=0, max_value=array_length - 1), |
| 38 | + st.integers(min_value=0, max_value=array_length - 1), |
| 39 | + ).map(lambda x: (min(x), max(x))) |
| 40 | + |
| 41 | + |
| 42 | +update_values = st.integers(min_value=1, max_value=50) |
| 43 | + |
| 44 | + |
| 45 | +# Basic construction and initialization tests |
| 46 | +def test_basic_construction(): |
| 47 | + values = [1, 3, 5, 7, 9] |
| 48 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 49 | + assert tree.summarize_range(0, 4) == 9 |
| 50 | + |
| 51 | + |
| 52 | +def test_empty_array(): |
| 53 | + with pytest.raises(ValueError): |
| 54 | + SegmentedTree([], add_op, max_op, 0) |
| 55 | + |
| 56 | + |
| 57 | +# Property-based tests |
| 58 | +@given(values=positive_integers) |
| 59 | +def test_max_query_matches_naive(values): |
| 60 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 61 | + |
| 62 | + for start in range(len(values)): |
| 63 | + for end in range(start, len(values)): |
| 64 | + expected = naive_range_max(values, start, end) |
| 65 | + actual = tree.summarize_range(start, end) |
| 66 | + assert actual == expected, ( |
| 67 | + f"Range [{start}:{end}] expected {expected}, got {actual}" |
| 68 | + ) |
| 69 | + |
| 70 | + |
| 71 | +@given(values=positive_integers, range_indices=st.data(), update_value=update_values) |
| 72 | +def test_range_update(values, range_indices, update_value): |
| 73 | + # Create a copy for naive implementation |
| 74 | + naive_values = values.copy() |
| 75 | + |
| 76 | + # Create segment tree |
| 77 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 78 | + |
| 79 | + # Get valid range indices |
| 80 | + start, end = range_indices.draw(valid_range_indices(len(values))) |
| 81 | + |
| 82 | + # Apply updates |
| 83 | + tree.update_range(start, end, update_value) |
| 84 | + naive_range_update(naive_values, start, end, update_value) |
| 85 | + |
| 86 | + # Verify all possible ranges |
| 87 | + for i in range(len(values)): |
| 88 | + for j in range(i, len(values)): |
| 89 | + expected = naive_range_max(naive_values, i, j) |
| 90 | + actual = tree.summarize_range(i, j) |
| 91 | + assert actual == expected, ( |
| 92 | + f"After update, range [{i}:{j}] expected {expected}, got {actual}" |
| 93 | + ) |
| 94 | + |
| 95 | + |
| 96 | +@given(values=positive_integers, range_data=st.data()) |
| 97 | +def test_multiple_operations(values, range_data): |
| 98 | + # Create a copy for naive implementation |
| 99 | + naive_values = values.copy() |
| 100 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 101 | + |
| 102 | + # Perform multiple operations |
| 103 | + num_operations = 5 |
| 104 | + for _ in range(num_operations): |
| 105 | + # Randomly choose between query and update |
| 106 | + operation_type = range_data.draw(st.sampled_from(["query", "update"])) |
| 107 | + start, end = range_data.draw(valid_range_indices(len(values))) |
| 108 | + |
| 109 | + if operation_type == "query": |
| 110 | + expected = naive_range_max(naive_values, start, end) |
| 111 | + actual = tree.summarize_range(start, end) |
| 112 | + assert actual == expected, ( |
| 113 | + f"Range query [{start}:{end}] expected {expected}, got {actual}" |
| 114 | + ) |
| 115 | + else: # update |
| 116 | + update_value = range_data.draw(update_values) |
| 117 | + tree.update_range(start, end, update_value) |
| 118 | + naive_range_update(naive_values, start, end, update_value) |
| 119 | + |
| 120 | + |
| 121 | +def test_single_element_ranges(): |
| 122 | + values = [1, 3, 5, 7, 9] |
| 123 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 124 | + |
| 125 | + for i in range(len(values)): |
| 126 | + assert tree.summarize_range(i, i) == values[i], ( |
| 127 | + f"Single element range at index {i} failed" |
| 128 | + ) |
| 129 | + |
| 130 | + |
| 131 | +def test_full_array_range(): |
| 132 | + values = [1, 3, 5, 7, 9] |
| 133 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 134 | + |
| 135 | + # Test querying the entire array |
| 136 | + assert tree.summarize_range(0, len(values) - 1) == max(values) |
| 137 | + |
| 138 | + # Update the entire array and test again |
| 139 | + update_value = 10 |
| 140 | + tree.update_range(0, len(values) - 1, update_value) |
| 141 | + expected = max([v + update_value for v in values]) |
| 142 | + assert tree.summarize_range(0, len(values) - 1) == expected |
| 143 | + |
| 144 | + |
| 145 | +def test_boundary_conditions(): |
| 146 | + values = [1, 3, 5, 7, 9] |
| 147 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 148 | + |
| 149 | + # Test first element |
| 150 | + assert tree.summarize_range(0, 0) == values[0] |
| 151 | + |
| 152 | + # Test last element |
| 153 | + assert tree.summarize_range(len(values) - 1, len(values) - 1) == values[-1] |
| 154 | + |
| 155 | + # Test first two elements |
| 156 | + assert tree.summarize_range(0, 1) == max(values[0:2]) |
| 157 | + |
| 158 | + # Test last two elements |
| 159 | + assert tree.summarize_range(len(values) - 2, len(values) - 1) == max(values[-2:]) |
| 160 | + |
| 161 | + |
| 162 | +def test_invalid_ranges(): |
| 163 | + values = [1, 3, 5, 7, 9] |
| 164 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 165 | + |
| 166 | + # Test start > end |
| 167 | + with pytest.raises(ValueError): |
| 168 | + tree.summarize_range(3, 2) |
| 169 | + |
| 170 | + with pytest.raises(ValueError): |
| 171 | + tree.update_range(4, 2, 10) |
| 172 | + |
| 173 | + |
| 174 | +def test_out_of_bounds(): |
| 175 | + values = [1, 3, 5, 7, 9] |
| 176 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 177 | + |
| 178 | + # Test negative indices |
| 179 | + with pytest.raises(ValueError): |
| 180 | + tree.summarize_range(-1, 3) |
| 181 | + |
| 182 | + with pytest.raises(ValueError): |
| 183 | + tree.summarize_range(0, -1) |
| 184 | + |
| 185 | + # Test indices >= n |
| 186 | + with pytest.raises(ValueError): |
| 187 | + tree.summarize_range(0, len(values)) |
| 188 | + |
| 189 | + with pytest.raises(ValueError): |
| 190 | + tree.summarize_range(len(values), len(values) + 1) |
| 191 | + |
| 192 | + # Test update with out of bounds indices |
| 193 | + with pytest.raises(ValueError): |
| 194 | + tree.update_range(-1, 3, 10) |
| 195 | + |
| 196 | + with pytest.raises(ValueError): |
| 197 | + tree.update_range(0, len(values), 10) |
| 198 | + |
| 199 | + |
| 200 | +def test_overlapping_updates(): |
| 201 | + values = [1, 3, 5, 7, 9] |
| 202 | + naive_values = values.copy() |
| 203 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 204 | + |
| 205 | + # Apply overlapping updates |
| 206 | + tree.update_range(0, 2, 5) # Update [0, 1, 2] |
| 207 | + naive_range_update(naive_values, 0, 2, 5) |
| 208 | + |
| 209 | + tree.update_range(1, 3, 3) # Update [1, 2, 3] |
| 210 | + naive_range_update(naive_values, 1, 3, 3) |
| 211 | + |
| 212 | + # Verify all possible ranges |
| 213 | + for i in range(len(values)): |
| 214 | + for j in range(i, len(values)): |
| 215 | + expected = naive_range_max(naive_values, i, j) |
| 216 | + actual = tree.summarize_range(i, j) |
| 217 | + assert actual == expected, ( |
| 218 | + f"After overlapping updates, range [{i}:{j}] expected {expected}, got {actual}" |
| 219 | + ) |
| 220 | + |
| 221 | + |
| 222 | +def test_sequential_updates_and_queries(): |
| 223 | + values = [2, 4, 6, 8, 10, 12, 14] |
| 224 | + naive_values = values.copy() |
| 225 | + tree = SegmentedTree(values, add_op, max_op, 0) |
| 226 | + |
| 227 | + # Sequence of operations |
| 228 | + operations = [ |
| 229 | + ("update", 1, 3, 5), # Update range [1, 2, 3] with +5 |
| 230 | + ("query", 0, 4), # Query range [0, 1, 2, 3, 4] |
| 231 | + ("update", 2, 5, 3), # Update range [2, 3, 4, 5] with +3 |
| 232 | + ("query", 1, 3), # Query range [1, 2, 3] |
| 233 | + ("update", 0, 6, 2), # Update entire array with +2 |
| 234 | + ("query", 0, 6), # Query entire array |
| 235 | + ("query", 3, 5), # Query range [3, 4, 5] |
| 236 | + ] |
| 237 | + |
| 238 | + for op in operations: |
| 239 | + if op[0] == "update": |
| 240 | + _, start, end, value = op |
| 241 | + tree.update_range(start, end, value) |
| 242 | + naive_range_update(naive_values, start, end, value) |
| 243 | + |
| 244 | + # Verify tree state after update |
| 245 | + for i in range(len(values)): |
| 246 | + for j in range(i, len(values)): |
| 247 | + expected = naive_range_max(naive_values, i, j) |
| 248 | + actual = tree.summarize_range(i, j) |
| 249 | + assert actual == expected, ( |
| 250 | + f"After update ({start}, {end}, {value}), query [{i}:{j}] expected {expected}, got {actual}" |
| 251 | + ) |
| 252 | + else: # query |
| 253 | + _, start, end = op |
| 254 | + expected = naive_range_max(naive_values, start, end) |
| 255 | + assert tree.summarize_range(start, end) == expected, ( |
| 256 | + f"Query [{start}:{end}] expected {expected}, got {tree.summarize_range(start, end)}" |
| 257 | + ) |
| 258 | + |
| 259 | + |
| 260 | +if __name__ == "__main__": |
| 261 | + run_tests() |
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