FA-51006 / Raster clipping / Open access

Homogeneous segment clip: intersection rounding · case 01

Integer conversion snaps a crossing intersection to an endpoint.

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

ROOT CAUSE

Integer conversion snaps a crossing intersection to an endpoint.

THE FAILURE

Integer conversion snaps a crossing intersection to an endpoint.

Unsuccessful approach: Rounding still chooses endpoints instead of preserving the fractional crossing parameter.

Case contract

Clip ordered segments in homogeneous (x,w,u) coordinates against requested left x+w>=0, right w-x>=0 and eye w>=1 halfspaces. Interpolate every component at intersections before perspective division; retain endpoint order. Output exact rational strings, or null for rejected segments. The integer surface size scales horizontal halfspaces.

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):
    from fractions import Fraction
    out=[]
    for first,last,planes in commands:
        a=list(map(Fraction,first)); b=list(map(Fraction,last))
        original_a=list(a); original_b=list(b)
        rejected=False
        for plane in planes:
            def distance(p):
                if plane=='left': return p[0]+size*p[1]
                if plane=='right': return size*p[1]-p[0]
                return p[1]-1
            da=distance(a); db=distance(b)
            ia=da>=0; ib=db>=0
            if not ia and not ib: rejected=True; break
            if ia and ib: continue
            t=Fraction(int(da/(da-db)))
            point=[a[i]+t*(b[i]-a[i]) for i in range(3)]
            if not ia: a=point
            else: b=point
        out.append(None if rejected else [[str(v) for v in a],[str(v) for v in b]])
    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([[[-12, 1, 0], [0, 1, 12], ['left']]], 4), [[['-4', '1', '8'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 4), [[['0', '1', '0'], ['4', '1', '4']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 4), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 4), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 4), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 4), [[['-4', '1', '8'], ['4', '1', '16']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 4), [[['0', '1', '0'], ['4', '1', '4']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 4), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 4), [[['0', '1', '12'], ['6', '3/2', '18']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 4), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 4), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 4), [[['0', '1', '12'], ['40/9', '10/9', '40/3']]])
if N == 2:
    check('explicit sequence 0', solve([[[-12, 1, 0], [0, 1, 12], ['left']]], 5), [[['-5', '1', '7'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 5), [[['0', '1', '0'], ['5', '1', '5']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 5), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 5), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 5), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 5), [[['-5', '1', '7'], ['5', '1', '17']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 5), [[['0', '1', '0'], ['5', '1', '5']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 5), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 5), [[['0', '1', '12'], ['60/7', '12/7', '144/7']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 5), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 5), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 5), [[['0', '1', '12'], ['40/7', '8/7', '96/7']]])
if N == 3:
    check('explicit sequence 0', solve([[[-12, 1, 0], [0, 1, 12], ['left']]], 6), [[['-6', '1', '6'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 6), [[['0', '1', '0'], ['6', '1', '6']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 6), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 6), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 6), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 6), [[['-6', '1', '6'], ['6', '1', '18']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 6), [[['0', '1', '0'], ['6', '1', '6']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 6), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 6), [[['0', '1', '12'], ['12', '2', '24']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 6), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 6), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 6), [[['0', '1', '12'], ['120/17', '20/17', '240/17']]])
if N == 4:
    check('explicit sequence 0', solve([[[-12, 1, 0], [0, 1, 12], ['left']]], 7), [[['-7', '1', '5'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 7), [[['0', '1', '0'], ['7', '1', '7']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 7), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 7), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 7), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 7), [[['-7', '1', '5'], ['7', '1', '19']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 7), [[['0', '1', '0'], ['7', '1', '7']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 7), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 7), [[['0', '1', '12'], ['12', '2', '24']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 7), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 7), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 7), [[['0', '1', '12'], ['280/33', '40/33', '160/11']]])
if N == 5:
    check('explicit sequence 0', solve([[[-12, 1, 0], [0, 1, 12], ['left']]], 8), [[['-8', '1', '4'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 8), [[['0', '1', '0'], ['8', '1', '8']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 8), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 8), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 8), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 8), [[['-8', '1', '4'], ['8', '1', '20']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 8), [[['0', '1', '0'], ['8', '1', '8']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 8), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 8), [[['0', '1', '12'], ['12', '2', '24']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 8), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 8), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 8), [[['0', '1', '12'], ['10', '5/4', '15']]])
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	`[[['-12', '1', '0'], ['0', '1', '12']]]`	`[[['-4', '1', '8'], ['0', '1', '12']]]`	Failed
explicit sequence 1	`[[['0', '1', '0'], ['0', '1', '0']]]`	`[[['0', '1', '0'], ['4', '1', '4']]]`	Failed
explicit sequence 2	`[None]`	`[None]`	Passed
explicit sequence 3	`[[['-4', '1', '0'], ['-8', '2', '8']]]`	`[[['-4', '1', '0'], ['-8', '2', '8']]]`	Passed
explicit sequence 4	`[[['0', '0', '0'], ['0', '2', '10']]]`	`[[['0', '1', '5'], ['0', '2', '10']]]`	Failed
explicit sequence 5	`[[['-12', '1', '0'], ['-12', '1', '0']]]`	`[[['-4', '1', '8'], ['4', '1', '16']]]`	Failed
explicit sequence 6	`[[['0', '1', '0'], ['0', '1', '0']]]`	`[[['0', '1', '0'], ['4', '1', '4']]]`	Failed
explicit sequence 7	`[[['0', '1', '0'], ['1', '1', '1']]]`	`[[['0', '1', '0'], ['1', '1', '1']]]`	Passed
explicit sequence 8	`[None]`	`[[['0', '1', '12'], ['6', '3/2', '18']]]`	Failed
explicit sequence 9	`[None]`	`[None]`	Passed
explicit sequence 10	`[[['0', '1', '1'], ['0', '1', '1']]]`	`[[['0', '1', '1'], ['0', '1', '1']]]`	Passed
explicit sequence 11	`[None]`	`[[['0', '1', '12'], ['40/9', '10/9', '40/3']]]`	Failed

SHA-256 / ebc81d60086bd6f8a4a2fb417e4126f08650293b506d19be0d57e256b4f7877e

2 / The unsuccessful fix

Exit 1

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

N = 1
observations = []
def solve(commands, size):
    from fractions import Fraction
    out=[]
    for first,last,planes in commands:
        a=list(map(Fraction,first)); b=list(map(Fraction,last))
        original_a=list(a); original_b=list(b)
        rejected=False
        for plane in planes:
            def distance(p):
                if plane=='left': return p[0]+size*p[1]
                if plane=='right': return size*p[1]-p[0]
                return p[1]-1
            da=distance(a); db=distance(b)
            ia=da>=0; ib=db>=0
            if not ia and not ib: rejected=True; break
            if ia and ib: continue
            t=Fraction(round(da/(da-db)))
            point=[a[i]+t*(b[i]-a[i]) for i in range(3)]
            if not ia: a=point
            else: b=point
        out.append(None if rejected else [[str(v) for v in a],[str(v) for v in b]])
    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([[[-12, 1, 0], [0, 1, 12], ['left']]], 4), [[['-4', '1', '8'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 4), [[['0', '1', '0'], ['4', '1', '4']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 4), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 4), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 4), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 4), [[['-4', '1', '8'], ['4', '1', '16']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 4), [[['0', '1', '0'], ['4', '1', '4']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 4), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 4), [[['0', '1', '12'], ['6', '3/2', '18']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 4), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 4), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 4), [[['0', '1', '12'], ['40/9', '10/9', '40/3']]])
if N == 2:
    check('explicit sequence 0', solve([[[-12, 1, 0], [0, 1, 12], ['left']]], 5), [[['-5', '1', '7'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 5), [[['0', '1', '0'], ['5', '1', '5']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 5), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 5), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 5), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 5), [[['-5', '1', '7'], ['5', '1', '17']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 5), [[['0', '1', '0'], ['5', '1', '5']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 5), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 5), [[['0', '1', '12'], ['60/7', '12/7', '144/7']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 5), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 5), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 5), [[['0', '1', '12'], ['40/7', '8/7', '96/7']]])
if N == 3:
    check('explicit sequence 0', solve([[[-12, 1, 0], [0, 1, 12], ['left']]], 6), [[['-6', '1', '6'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 6), [[['0', '1', '0'], ['6', '1', '6']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 6), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 6), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 6), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 6), [[['-6', '1', '6'], ['6', '1', '18']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 6), [[['0', '1', '0'], ['6', '1', '6']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 6), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 6), [[['0', '1', '12'], ['12', '2', '24']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 6), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 6), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 6), [[['0', '1', '12'], ['120/17', '20/17', '240/17']]])
if N == 4:
    check('explicit sequence 0', solve([[[-12, 1, 0], [0, 1, 12], ['left']]], 7), [[['-7', '1', '5'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 7), [[['0', '1', '0'], ['7', '1', '7']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 7), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 7), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 7), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 7), [[['-7', '1', '5'], ['7', '1', '19']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 7), [[['0', '1', '0'], ['7', '1', '7']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 7), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 7), [[['0', '1', '12'], ['12', '2', '24']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 7), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 7), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 7), [[['0', '1', '12'], ['280/33', '40/33', '160/11']]])
if N == 5:
    check('explicit sequence 0', solve([[[-12, 1, 0], [0, 1, 12], ['left']]], 8), [[['-8', '1', '4'], ['0', '1', '12']]])
    check('explicit sequence 1', solve([[[0, 1, 0], [12, 1, 12], ['right']]], 8), [[['0', '1', '0'], ['8', '1', '8']]])
    check('explicit sequence 2', solve([[[-20, 1, 0], [-15, 1, 5], ['left']]], 8), [None])
    check('explicit sequence 3', solve([[[-4, 1, 0], [-8, 2, 8], ['left']]], 8), [[['-4', '1', '0'], ['-8', '2', '8']]])
    check('explicit sequence 4', solve([[[0, 0, 0], [0, 2, 10], ['eye']]], 8), [[['0', '1', '5'], ['0', '2', '10']]])
    check('explicit sequence 5', solve([[[-12, 1, 0], [12, 1, 24], ['left', 'right']]], 8), [[['-8', '1', '4'], ['8', '1', '20']]])
    check('explicit sequence 6', solve([[[0, 1, 0], [12, 1, 12], ['left', 'right']]], 8), [[['0', '1', '0'], ['8', '1', '8']]])
    check('explicit sequence 7', solve([[[0, 1, 0], [1, 1, 1], ['eye', 'left', 'right']]], 8), [[['0', '1', '0'], ['1', '1', '1']]])
    check('explicit sequence 8', solve([[[-12, 0, 0], [12, 2, 24], ['left', 'right', 'eye']]], 8), [[['0', '1', '12'], ['12', '2', '24']]])
    check('explicit sequence 9', solve([[[-15, 1, 0], [-20, 1, 5], ['left']]], 8), [None])
    check('explicit sequence 10', solve([[[0, 0, 0], [0, 1, 1], ['eye']]], 8), [[['0', '1', '1'], ['0', '1', '1']]])
    check('explicit sequence 11', solve([[[-40, 0, 0], [40, 2, 24], ['right', 'eye']]], 8), [[['0', '1', '12'], ['10', '5/4', '15']]])
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	`[[['0', '1', '12'], ['0', '1', '12']]]`	`[[['-4', '1', '8'], ['0', '1', '12']]]`	Failed
explicit sequence 1	`[[['0', '1', '0'], ['0', '1', '0']]]`	`[[['0', '1', '0'], ['4', '1', '4']]]`	Failed
explicit sequence 2	`[None]`	`[None]`	Passed
explicit sequence 3	`[[['-4', '1', '0'], ['-8', '2', '8']]]`	`[[['-4', '1', '0'], ['-8', '2', '8']]]`	Passed
explicit sequence 4	`[[['0', '0', '0'], ['0', '2', '10']]]`	`[[['0', '1', '5'], ['0', '2', '10']]]`	Failed
explicit sequence 5	`[[['-12', '1', '0'], ['12', '1', '24']]]`	`[[['-4', '1', '8'], ['4', '1', '16']]]`	Failed
explicit sequence 6	`[[['0', '1', '0'], ['0', '1', '0']]]`	`[[['0', '1', '0'], ['4', '1', '4']]]`	Failed
explicit sequence 7	`[[['0', '1', '0'], ['1', '1', '1']]]`	`[[['0', '1', '0'], ['1', '1', '1']]]`	Passed
explicit sequence 8	`[[['-12', '0', '0'], ['12', '2', '24']]]`	`[[['0', '1', '12'], ['6', '3/2', '18']]]`	Failed
explicit sequence 9	`[None]`	`[None]`	Passed
explicit sequence 10	`[[['0', '1', '1'], ['0', '1', '1']]]`	`[[['0', '1', '1'], ['0', '1', '1']]]`	Passed
explicit sequence 11	`[[['-40', '0', '0'], ['40', '2', '24']]]`	`[[['0', '1', '12'], ['40/9', '10/9', '40/3']]]`	Failed

SHA-256 / d3b6e59de1f37ce46bac4e328850ee09a1c698c9b0b9d099843a84fd4cb52e85

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 12 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

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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 2026-09-29T14:45:14.789030+00:00.

Case digest / b60921efbcae50df3eb4ee6355614f74896ddc6f9bcd357a9e0b550d55ab4031