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FA-50951 / Raster clipping / Open access

Winding event raster: odd sign · case 01

Even-odd fill recognizes only positive unit winding.

Verified by executionVariant 1 · 12 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Even-odd fill recognizes only positive unit winding.

VERIFIED REPAIR

Apply the documented state transition at odd sign. Signed crossing events occur before their integer sample coordinate. For each finite target sample, sum all event deltas at or to its left, including events outside the left target edge. Fill rules are nonzero, odd, positive, negative, or magnitude-at-least-two. Inverse filling complements the result inside the target. Zero deltas are inert and coincident events add.

Unsuccessful approach: Absolute unit winding still rejects odd triple overlaps.

Case contract

Signed crossing events occur before their integer sample coordinate. For each finite target sample, sum all event deltas at or to its left, including events outside the left target edge. Fill rules are nonzero, odd, positive, negative, or magnitude-at-least-two. Inverse filling complements the result inside the target. Zero deltas are inert and coincident events add.

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):
    out=[]
    for events,rule,inverse in commands:
        deltas={}
        for x,delta in events: deltas[x]=deltas.get(x,0)+delta
        winding=sum(delta for x,delta in deltas.items() if x<0)
        covered=[]
        for x in range(size):
            winding+=deltas.get(x,0)
            if rule=='nonzero': inside=winding!=0
            elif rule=='odd': inside=winding==1
            elif rule=='positive': inside=winding>0
            elif rule=='negative': inside=winding<0
            else: inside=abs(winding)>=2
            if inside ^ inverse: covered.append(x)
        out.append(covered)
    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([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 4), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 4), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 4), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 4), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 4), [[2, 3]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 4), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 4), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 4), [[]])
if N == 2:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 5), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 5), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 5), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 5), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 5), [[2, 3, 4]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 5), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 5), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 5), [[]])
if N == 3:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 6), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 6), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 6), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 6), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 6), [[2, 3, 4, 5]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 6), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 6), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 6), [[]])
if N == 4:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 7), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 7), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 7), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 7), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 7), [[2, 3, 4, 5, 6]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 7), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 7), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 7), [[]])
if N == 5:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 8), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 8), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 8), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 8), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 8), [[2, 3, 4, 5, 6, 7]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 8), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 8), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 8), [[]])
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 fixtureActualExpectedOutcome
explicit sequence 0[[0, 1]][[0, 1]]Passed
explicit sequence 1[[0, 1]][[0, 1]]Passed
explicit sequence 2[[0, 1]][[0, 1]]Passed
explicit sequence 3[[0, 1]][[0, 1]]Passed
explicit sequence 4[[]][[0, 1]]Failed
explicit sequence 5[[0, 1]][[0, 1]]Passed
explicit sequence 6[[0, 1]][[0, 1]]Passed
explicit sequence 7[[0, 1]][[0, 1]]Passed
explicit sequence 8[[2, 3]][[2, 3]]Passed
explicit sequence 9[[0, 1, 2]][[0, 1, 2]]Passed
explicit sequence 10[[]][[]]Passed
explicit sequence 11[[]][[]]Passed

SHA-256 / 2b7b74015776c7b5bfb5ed754db4bd02a1e0770d80c19303f3ddae6f9b69284f

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(commands, size):
    out=[]
    for events,rule,inverse in commands:
        deltas={}
        for x,delta in events: deltas[x]=deltas.get(x,0)+delta
        winding=sum(delta for x,delta in deltas.items() if x<0)
        covered=[]
        for x in range(size):
            winding+=deltas.get(x,0)
            if rule=='nonzero': inside=winding!=0
            elif rule=='odd': inside=abs(winding)==1
            elif rule=='positive': inside=winding>0
            elif rule=='negative': inside=winding<0
            else: inside=abs(winding)>=2
            if inside ^ inverse: covered.append(x)
        out.append(covered)
    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([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 4), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 4), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 4), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 4), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 4), [[2, 3]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 4), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 4), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 4), [[]])
if N == 2:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 5), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 5), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 5), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 5), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 5), [[2, 3, 4]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 5), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 5), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 5), [[]])
if N == 3:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 6), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 6), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 6), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 6), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 6), [[2, 3, 4, 5]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 6), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 6), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 6), [[]])
if N == 4:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 7), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 7), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 7), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 7), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 7), [[2, 3, 4, 5, 6]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 7), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 7), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 7), [[]])
if N == 5:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 8), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 8), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 8), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 8), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 8), [[2, 3, 4, 5, 6, 7]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 8), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 8), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 8), [[]])
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 fixtureActualExpectedOutcome
explicit sequence 0[[0, 1]][[0, 1]]Passed
explicit sequence 1[[0, 1]][[0, 1]]Passed
explicit sequence 2[[0, 1]][[0, 1]]Passed
explicit sequence 3[[0, 1]][[0, 1]]Passed
explicit sequence 4[[]][[0, 1]]Failed
explicit sequence 5[[0, 1]][[0, 1]]Passed
explicit sequence 6[[0, 1]][[0, 1]]Passed
explicit sequence 7[[0, 1]][[0, 1]]Passed
explicit sequence 8[[2, 3]][[2, 3]]Passed
explicit sequence 9[[0, 1, 2]][[0, 1, 2]]Passed
explicit sequence 10[[]][[]]Passed
explicit sequence 11[[]][[]]Passed

SHA-256 / ac3d01ee0208a5506a49c3a0ab45e7e7b2ee8c04b316e92aedf535c45f509ad6

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(commands, size):
    out=[]
    for events,rule,inverse in commands:
        deltas={}
        for x,delta in events: deltas[x]=deltas.get(x,0)+delta
        winding=sum(delta for x,delta in deltas.items() if x<0)
        covered=[]
        for x in range(size):
            winding+=deltas.get(x,0)
            if rule=='nonzero': inside=winding!=0
            elif rule=='odd': inside=abs(winding)%2==1
            elif rule=='positive': inside=winding>0
            elif rule=='negative': inside=winding<0
            else: inside=abs(winding)>=2
            if inside ^ inverse: covered.append(x)
        out.append(covered)
    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([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 4), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 4), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 4), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 4), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 4), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 4), [[2, 3]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 4), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 4), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 4), [[]])
if N == 2:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 5), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 5), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 5), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 5), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 5), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 5), [[2, 3, 4]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 5), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 5), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 5), [[]])
if N == 3:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 6), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 6), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 6), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 6), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 6), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 6), [[2, 3, 4, 5]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 6), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 6), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 6), [[]])
if N == 4:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 7), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 7), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 7), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 7), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 7), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 7), [[2, 3, 4, 5, 6]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 7), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 7), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 7), [[]])
if N == 5:
    check('explicit sequence 0', solve([[[[0, 1], [0, 1], [2, -2]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 1', solve([[[[-3, 1], [2, -1]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 2', solve([[[[0, 1], [2, -1]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 3', solve([[[[0, -1], [2, 1]], 'nonzero', False]], 8), [[0, 1]])
    check('explicit sequence 4', solve([[[[0, 3], [2, -3]], 'odd', False]], 8), [[0, 1]])
    check('explicit sequence 5', solve([[[[0, 2], [2, -2]], 'positive', False]], 8), [[0, 1]])
    check('explicit sequence 6', solve([[[[0, -2], [2, 2]], 'negative', False]], 8), [[0, 1]])
    check('explicit sequence 7', solve([[[[0, -3], [2, 3]], 'double', False]], 8), [[0, 1]])
    check('explicit sequence 8', solve([[[[0, 1], [2, -1]], 'nonzero', True]], 8), [[2, 3, 4, 5, 6, 7]])
    check('explicit sequence 9', solve([[[[0, 1], [1, 1], [3, -2]], 'nonzero', False]], 8), [[0, 1, 2]])
    check('explicit sequence 10', solve([[[[0, 1], [0, -1]], 'nonzero', False]], 8), [[]])
    check('explicit sequence 11', solve([[[], 'odd', False]], 8), [[]])
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 fixtureActualExpectedOutcome
explicit sequence 0[[0, 1]][[0, 1]]Passed
explicit sequence 1[[0, 1]][[0, 1]]Passed
explicit sequence 2[[0, 1]][[0, 1]]Passed
explicit sequence 3[[0, 1]][[0, 1]]Passed
explicit sequence 4[[0, 1]][[0, 1]]Passed
explicit sequence 5[[0, 1]][[0, 1]]Passed
explicit sequence 6[[0, 1]][[0, 1]]Passed
explicit sequence 7[[0, 1]][[0, 1]]Passed
explicit sequence 8[[2, 3]][[2, 3]]Passed
explicit sequence 9[[0, 1, 2]][[0, 1, 2]]Passed
explicit sequence 10[[]][[]]Passed
explicit sequence 11[[]][[]]Passed

SHA-256 / 8726c253ebb15533996e6bea69f0e147ab1ba998097f88aa252c34afbad6720a

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 2026-09-29T14:45:14.031962+00:00.

Case digest / 5f7de3486d874f3d4df4ab71227420cfc65a5ef12dfbbebd4b6ad53187299b63