FA-51336 / Raster clipping / Open access
Opaque occlusion clip: transparent occludes · case 01
Transparent coverage is treated as fully occluding.
ROOT CAUSE
Transparent coverage is treated as fully occluding.
VERIFIED REPAIR
Apply the documented state transition at transparent occludes. Draws are supplied back to front as ID, coverage set, opaque flag, clip set and sample-write-enable set. Visibility traverses front to back, subtracting only front opaque written samples. Transparent draws remain visible but do not occlude. Return every draw in original order, including empty visibility, labeled by ID. Repeated IDs are distinct draws. All coverage is finite-target bounded.
Unsuccessful approach: Restricting false occlusion to multi-sample transparent draws still hides visible backgrounds.
Case contract
Draws are supplied back to front as ID, coverage set, opaque flag, clip set and sample-write-enable set. Visibility traverses front to back, subtracting only front opaque written samples. Transparent draws remain visible but do not occlude. Return every draw in original order, including empty visibility, labeled by ID. Repeated IDs are distinct draws. All coverage is finite-target bounded.
Why this case matters
Raster clip state can leak coverage across draws even when every individual region is valid.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(commands, size):
full=set(range(size))
out=[]
for draws in commands:
occluded=set()
visible=[]
for key,coverage,opaque,clip,writes in reversed(draws):
effective=set(coverage)&set(clip)&set(writes)&full
remaining=effective-occluded
visible.append([key,sorted(remaining)])
occluded |= effective
out.append(list(reversed(visible)))
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 4), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 4), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 4), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 4), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 4), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 4), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 4), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 4), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 4), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 4), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 4), [[['a', [0, 1, 2, 3]]]])
if N == 2:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 5), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 5), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 5), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 5), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 5), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 5), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 5), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 5), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 5), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 5), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 5), [[['a', [0, 1, 2, 3, 4]]]])
if N == 3:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 6), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 6), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 6), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 6), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 6), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 6), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 6), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 6), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 6), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 6), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 6), [[['a', [0, 1, 2, 3, 4, 5]]]])
if N == 4:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 7), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 7), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 7), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 7), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 7), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 7), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 7), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 7), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 7), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 7), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 7), [[['a', [0, 1, 2, 3, 4, 5, 6]]]])
if N == 5:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 8), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 8), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 8), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 8), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 8), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 8), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 8), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 8), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 8), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 8), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 8), [[['a', [0, 1, 2, 3, 4, 5, 6, 7]]]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit sequence 0 | [[['back', [0]], ['front', [1]]]] | [[['back', [0]], ['front', [1]]]] | Passed |
| explicit sequence 1 | [[['back', []], ['front', [0, 1]]]] | [[['back', [0, 1]], ['front', [0, 1]]]] | Failed |
| explicit sequence 2 | [[['back', [1]], ['front', [0]]]] | [[['back', [1]], ['front', [0]]]] | Passed |
| explicit sequence 3 | [[['back', [1]], ['front', [0]]]] | [[['back', [1]], ['front', [0]]]] | Passed |
| explicit sequence 4 | [[['back', [0]], ['front', [1]]]] | [[['back', [0]], ['front', [1]]]] | Passed |
| explicit sequence 5 | [[['back', [2]], ['middle', [0]], ['front', [1]]]] | [[['back', [2]], ['middle', [0]], ['front', [1]]]] | Passed |
| explicit sequence 6 | [[['z', [0]], ['a', [1]]]] | [[['z', [0]], ['a', [1]]]] | Passed |
| explicit sequence 7 | [[['a', []], ['b', [1]]]] | [[['a', []], ['b', [1]]]] | Passed |
| explicit sequence 8 | [[['same', [0]], ['same', [1]]]] | [[['same', [0]], ['same', [1]]]] | Passed |
| explicit sequence 9 | [[['a', []]]] | [[['a', []]]] | Passed |
| explicit sequence 10 | [[['a', [0, 1, 2, 3]]]] | [[['a', [0, 1, 2, 3]]]] | Passed |
SHA-256 / c5a50302ca8eeb4122d725676cab883250498d6b6ca9e61842ac6fe3300bb708
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(commands, size):
full=set(range(size))
out=[]
for draws in commands:
occluded=set()
visible=[]
for key,coverage,opaque,clip,writes in reversed(draws):
effective=set(coverage)&set(clip)&set(writes)&full
remaining=effective-occluded
visible.append([key,sorted(remaining)])
if opaque or len(effective)>1: occluded |= effective
out.append(list(reversed(visible)))
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 4), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 4), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 4), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 4), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 4), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 4), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 4), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 4), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 4), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 4), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 4), [[['a', [0, 1, 2, 3]]]])
if N == 2:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 5), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 5), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 5), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 5), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 5), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 5), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 5), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 5), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 5), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 5), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 5), [[['a', [0, 1, 2, 3, 4]]]])
if N == 3:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 6), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 6), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 6), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 6), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 6), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 6), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 6), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 6), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 6), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 6), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 6), [[['a', [0, 1, 2, 3, 4, 5]]]])
if N == 4:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 7), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 7), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 7), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 7), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 7), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 7), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 7), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 7), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 7), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 7), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 7), [[['a', [0, 1, 2, 3, 4, 5, 6]]]])
if N == 5:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 8), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 8), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 8), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 8), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 8), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 8), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 8), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 8), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 8), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 8), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 8), [[['a', [0, 1, 2, 3, 4, 5, 6, 7]]]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit sequence 0 | [[['back', [0]], ['front', [1]]]] | [[['back', [0]], ['front', [1]]]] | Passed |
| explicit sequence 1 | [[['back', []], ['front', [0, 1]]]] | [[['back', [0, 1]], ['front', [0, 1]]]] | Failed |
| explicit sequence 2 | [[['back', [1]], ['front', [0]]]] | [[['back', [1]], ['front', [0]]]] | Passed |
| explicit sequence 3 | [[['back', [1]], ['front', [0]]]] | [[['back', [1]], ['front', [0]]]] | Passed |
| explicit sequence 4 | [[['back', [0]], ['front', [1]]]] | [[['back', [0]], ['front', [1]]]] | Passed |
| explicit sequence 5 | [[['back', [2]], ['middle', [0]], ['front', [1]]]] | [[['back', [2]], ['middle', [0]], ['front', [1]]]] | Passed |
| explicit sequence 6 | [[['z', [0]], ['a', [1]]]] | [[['z', [0]], ['a', [1]]]] | Passed |
| explicit sequence 7 | [[['a', []], ['b', [1]]]] | [[['a', []], ['b', [1]]]] | Passed |
| explicit sequence 8 | [[['same', [0]], ['same', [1]]]] | [[['same', [0]], ['same', [1]]]] | Passed |
| explicit sequence 9 | [[['a', []]]] | [[['a', []]]] | Passed |
| explicit sequence 10 | [[['a', [0, 1, 2, 3]]]] | [[['a', [0, 1, 2, 3]]]] | Passed |
SHA-256 / 6ddfed95c7d18430aa13d58a97ede8b06886937901faf2fc6a065d6c38934c3b
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(commands, size):
full=set(range(size))
out=[]
for draws in commands:
occluded=set()
visible=[]
for key,coverage,opaque,clip,writes in reversed(draws):
effective=set(coverage)&set(clip)&set(writes)&full
remaining=effective-occluded
visible.append([key,sorted(remaining)])
if opaque: occluded |= effective
out.append(list(reversed(visible)))
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 4), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 4), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 4), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 4), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 4), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 4), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 4), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 4), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 4), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 4), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 4), [[['a', [0, 1, 2, 3]]]])
if N == 2:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 5), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 5), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 5), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 5), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 5), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 5), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 5), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 5), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 5), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 5), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 5), [[['a', [0, 1, 2, 3, 4]]]])
if N == 3:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 6), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 6), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 6), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 6), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 6), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 6), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 6), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 6), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 6), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 6), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 6), [[['a', [0, 1, 2, 3, 4, 5]]]])
if N == 4:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 7), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 7), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 7), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 7), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 7), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 7), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 7), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 7), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 7), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 7), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 7), [[['a', [0, 1, 2, 3, 4, 5, 6]]]])
if N == 5:
check('explicit sequence 0', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [1], True, [1], [1]]]], 8), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 1', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], False, [0, 1], [0, 1]]]], 8), [[['back', [0, 1]], ['front', [0, 1]]]])
check('explicit sequence 2', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0], [0, 1]]]], 8), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 3', solve([[['back', [0, 1], True, [0, 1], [0, 1]], ['front', [0, 1], True, [0, 1], [0]]]], 8), [[['back', [1]], ['front', [0]]]])
check('explicit sequence 4', solve([[['back', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 8), [[['back', [0]], ['front', [1]]]])
check('explicit sequence 5', solve([[['back', [0, 1, 2], True, [0, 1, 2], [0, 1, 2]], ['middle', [0], True, [0], [0]], ['front', [1], True, [1], [1]]]], 8), [[['back', [2]], ['middle', [0]], ['front', [1]]]])
check('explicit sequence 6', solve([[['z', [0], False, [0], [0]], ['a', [1], False, [1], [1]]]], 8), [[['z', [0]], ['a', [1]]]])
check('explicit sequence 7', solve([[['a', [0], False, [], [0]], ['b', [1], True, [1], [1]]]], 8), [[['a', []], ['b', [1]]]])
check('explicit sequence 8', solve([[['same', [0], False, [0], [0]], ['same', [1], False, [1], [1]]]], 8), [[['same', [0]], ['same', [1]]]])
check('explicit sequence 9', solve([[['a', [0], True, [0], []]]], 8), [[['a', []]]])
check('explicit sequence 10', solve([[['a', [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], True, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]]], 8), [[['a', [0, 1, 2, 3, 4, 5, 6, 7]]]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit sequence 0 | [[['back', [0]], ['front', [1]]]] | [[['back', [0]], ['front', [1]]]] | Passed |
| explicit sequence 1 | [[['back', [0, 1]], ['front', [0, 1]]]] | [[['back', [0, 1]], ['front', [0, 1]]]] | Passed |
| explicit sequence 2 | [[['back', [1]], ['front', [0]]]] | [[['back', [1]], ['front', [0]]]] | Passed |
| explicit sequence 3 | [[['back', [1]], ['front', [0]]]] | [[['back', [1]], ['front', [0]]]] | Passed |
| explicit sequence 4 | [[['back', [0]], ['front', [1]]]] | [[['back', [0]], ['front', [1]]]] | Passed |
| explicit sequence 5 | [[['back', [2]], ['middle', [0]], ['front', [1]]]] | [[['back', [2]], ['middle', [0]], ['front', [1]]]] | Passed |
| explicit sequence 6 | [[['z', [0]], ['a', [1]]]] | [[['z', [0]], ['a', [1]]]] | Passed |
| explicit sequence 7 | [[['a', []], ['b', [1]]]] | [[['a', []], ['b', [1]]]] | Passed |
| explicit sequence 8 | [[['same', [0]], ['same', [1]]]] | [[['same', [0]], ['same', [1]]]] | Passed |
| explicit sequence 9 | [[['a', []]]] | [[['a', []]]] | Passed |
| explicit sequence 10 | [[['a', [0, 1, 2, 3]]]] | [[['a', [0, 1, 2, 3]]]] | Passed |
SHA-256 / 6169de50c1291df6dc0b60fa03bafcdbcbf6458d702f440d60d51429b6a89c9a
Verification & scope
Finite one-dimensional integer sample sets model coverage state only; no geometric intersection, memory layout, GPU or graphics-standard conformance is claimed. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.
Observations recorded using Python 3.12.14 at 2026-09-29T14:45:17.899173+00:00.
Case digest / 309c97f8f0ce24ca8f5772859d35d847194acf4b5bbde52ecdd206bc7a6d20c7