FAILURE MAP
← Case archive

FA-51841 / Raster memory layout / Open access

Morton Page Directory: Partial right-edge page is omitted from directory width · case 01

The returned physical layout descriptor disagrees with the declared buffer mapping at pages_x.

Verified by executionVariant 1 · 6 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Partial right-edge page is omitted from directory width The faulty expression is p["w"]//4.

VERIFIED REPAIR

Apply the stipulated layout rule at pages_x: (p["w"]+3)//4.

Unsuccessful approach: The attempted repair uses max(1,p["w"]//4) and still violates the layout contract.

Case contract

Square 4x4 texel pages use row-major page-directory order and Morton x/y interleaving within each page. Each page has an eight-byte header; directory entries are four bytes and directory storage precedes page bodies. Return the named intermediate layout descriptor and final address fields; all quantities are integer byte offsets unless explicitly stated.

Why this case matters

Offline raster resource, upload, readback, and storage-layout regression model.

1 / The failure

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

N = 1
observations = []
def solve(p):
    p = dict(p)
    pages_x = p["w"]//4
    pages_y = (p["h"]+3)//4
    directory_bytes = pages_x*pages_y*p["entry"]
    page_x = p["x"]//4
    page_y = p["y"]//4
    page_index = page_y*pages_x+page_x
    morton = sum(((p["x"]>>i)&1)<<(2*i) | ((p["y"]>>i)&1)<<(2*i+1) for i in range(2))
    page_bytes = 16*p["b"]+p["header"]
    page_start = p["base"]+directory_bytes+page_index*page_bytes
    address = page_start+p["header"]+morton*p["b"]
    return {'pages_x': pages_x, 'pages_y': pages_y, 'directory_bytes': directory_bytes, 'page_x': page_x, 'page_y': page_y, 'page_index': page_index, 'morton': morton, 'page_bytes': page_bytes, 'page_start': page_start, 'address': address}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = {1: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 40, 'page_start': 15, 'address': 23}), ({'w': 6, 'h': 4, 'x': 1, 'y': 2, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 1, 'directory_bytes': 8, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 40, 'page_start': 19, 'address': 45}), ({'w': 10, 'h': 8, 'x': 8, 'y': 6, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 2, 'directory_bytes': 24, 'page_x': 2, 'page_y': 1, 'page_index': 5, 'morton': 8, 'page_bytes': 40, 'page_start': 235, 'address': 259}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 40, 'page_start': 323, 'address': 361}), ({'w': 18, 'h': 10, 'x': 16, 'y': 8, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 5, 'pages_y': 3, 'directory_bytes': 60, 'page_x': 4, 'page_y': 2, 'page_index': 14, 'morton': 0, 'page_bytes': 40, 'page_start': 631, 'address': 639}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 40, 'page_start': 283, 'address': 301})], 2: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 56, 'page_start': 26, 'address': 34}), ({'w': 7, 'h': 5, 'x': 1, 'y': 2, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 2, 'directory_bytes': 16, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 56, 'page_start': 38, 'address': 73}), ({'w': 11, 'h': 9, 'x': 8, 'y': 6, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 3, 'directory_bytes': 36, 'page_x': 2, 'page_y': 1, 'page_index': 5, 'morton': 8, 'page_bytes': 56, 'page_start': 338, 'address': 370}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 56, 'page_start': 446, 'address': 499}), ({'w': 19, 'h': 11, 'x': 16, 'y': 8, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 5, 'pages_y': 3, 'directory_bytes': 60, 'page_x': 4, 'page_y': 2, 'page_index': 14, 'morton': 0, 'page_bytes': 56, 'page_start': 866, 'address': 874}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 56, 'page_start': 390, 'address': 413})], 3: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 72, 'page_start': 37, 'address': 45}), ({'w': 8, 'h': 6, 'x': 1, 'y': 2, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 2, 'directory_bytes': 16, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 72, 'page_start': 49, 'address': 93}), ({'w': 12, 'h': 10, 'x': 8, 'y': 6, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 3, 'directory_bytes': 36, 'page_x': 2, 'page_y': 1, 'page_index': 5, 'morton': 8, 'page_bytes': 72, 'page_start': 429, 'address': 469}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 72, 'page_start': 569, 'address': 637}), ({'w': 20, 'h': 12, 'x': 16, 'y': 8, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 5, 'pages_y': 3, 'directory_bytes': 60, 'page_x': 4, 'page_y': 2, 'page_index': 14, 'morton': 0, 'page_bytes': 72, 'page_start': 1101, 'address': 1109}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 72, 'page_start': 497, 'address': 525})], 4: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 88, 'page_start': 48, 'address': 56}), ({'w': 9, 'h': 7, 'x': 1, 'y': 2, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 2, 'directory_bytes': 24, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 88, 'page_start': 68, 'address': 121}), ({'w': 13, 'h': 11, 'x': 8, 'y': 6, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 3, 'directory_bytes': 48, 'page_x': 2, 'page_y': 1, 'page_index': 6, 'morton': 8, 'page_bytes': 88, 'page_start': 620, 'address': 668}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 88, 'page_start': 692, 'address': 775}), ({'w': 21, 'h': 13, 'x': 16, 'y': 8, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 6, 'pages_y': 4, 'directory_bytes': 96, 'page_x': 4, 'page_y': 2, 'page_index': 16, 'morton': 0, 'page_bytes': 88, 'page_start': 1548, 'address': 1556}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 88, 'page_start': 604, 'address': 637})], 5: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 104, 'page_start': 59, 'address': 67}), ({'w': 10, 'h': 8, 'x': 1, 'y': 2, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 2, 'directory_bytes': 24, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 104, 'page_start': 79, 'address': 141}), ({'w': 14, 'h': 12, 'x': 8, 'y': 6, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 3, 'directory_bytes': 48, 'page_x': 2, 'page_y': 1, 'page_index': 6, 'morton': 8, 'page_bytes': 104, 'page_start': 727, 'address': 783}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 104, 'page_start': 815, 'address': 913}), ({'w': 22, 'h': 14, 'x': 16, 'y': 8, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 6, 'pages_y': 4, 'directory_bytes': 96, 'page_x': 4, 'page_y': 2, 'page_index': 16, 'morton': 0, 'page_bytes': 104, 'page_start': 1815, 'address': 1823}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 104, 'page_start': 711, 'address': 749})]}
for i, (p, expected) in enumerate(cases[N]):
    check("layout fixture " + str(i + 1), solve(p), expected)
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
layout fixture 1{'address': 19, 'directory_bytes': 0, 'morton': 0, 'page_bytes': 40, 'page_index': 0, 'page_start': 11, 'page_x': 0, 'page_y': 0, 'pages_x': 0, 'pages_y': 1}{'address': 23, 'directory_bytes': 4, 'morton': 0, 'page_bytes': 40, 'page_index': 0, 'page_start': 15, 'page_x': 0, 'page_y': 0, 'pages_x': 1, 'pages_y': 1}Failed
layout fixture 2{'address': 41, 'directory_bytes': 4, 'morton': 9, 'page_bytes': 40, 'page_index': 0, 'page_start': 15, 'page_x': 0, 'page_y': 0, 'pages_x': 1, 'pages_y': 1}{'address': 45, 'directory_bytes': 8, 'morton': 9, 'page_bytes': 40, 'page_index': 0, 'page_start': 19, 'page_x': 0, 'page_y': 0, 'pages_x': 2, 'pages_y': 1}Failed
layout fixture 3{'address': 211, 'directory_bytes': 16, 'morton': 8, 'page_bytes': 40, 'page_index': 4, 'page_start': 187, 'page_x': 2, 'page_y': 1, 'pages_x': 2, 'pages_y': 2}{'address': 259, 'directory_bytes': 24, 'morton': 8, 'page_bytes': 40, 'page_index': 5, 'page_start': 235, 'page_x': 2, 'page_y': 1, 'pages_x': 3, 'pages_y': 2}Failed
layout fixture 4{'address': 361, 'directory_bytes': 32, 'morton': 15, 'page_bytes': 40, 'page_index': 7, 'page_start': 323, 'page_x': 3, 'page_y': 1, 'pages_x': 4, 'pages_y': 2}{'address': 361, 'directory_bytes': 32, 'morton': 15, 'page_bytes': 40, 'page_index': 7, 'page_start': 323, 'page_x': 3, 'page_y': 1, 'pages_x': 4, 'pages_y': 2}Passed
layout fixture 5{'address': 547, 'directory_bytes': 48, 'morton': 0, 'page_bytes': 40, 'page_index': 12, 'page_start': 539, 'page_x': 4, 'page_y': 2, 'pages_x': 4, 'pages_y': 3}{'address': 639, 'directory_bytes': 60, 'morton': 0, 'page_bytes': 40, 'page_index': 14, 'page_start': 631, 'page_x': 4, 'page_y': 2, 'pages_x': 5, 'pages_y': 3}Failed
layout fixture 6{'address': 165, 'directory_bytes': 16, 'morton': 5, 'page_bytes': 40, 'page_index': 3, 'page_start': 147, 'page_x': 0, 'page_y': 3, 'pages_x': 1, 'pages_y': 4}{'address': 301, 'directory_bytes': 32, 'morton': 5, 'page_bytes': 40, 'page_index': 6, 'page_start': 283, 'page_x': 0, 'page_y': 3, 'pages_x': 2, 'pages_y': 4}Failed

SHA-256 / 6e80258cbc9f452d761201995a5282dd80d3e23aac6397ef7f60a907ca522d7c

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(p):
    p = dict(p)
    pages_x = max(1,p["w"]//4)
    pages_y = (p["h"]+3)//4
    directory_bytes = pages_x*pages_y*p["entry"]
    page_x = p["x"]//4
    page_y = p["y"]//4
    page_index = page_y*pages_x+page_x
    morton = sum(((p["x"]>>i)&1)<<(2*i) | ((p["y"]>>i)&1)<<(2*i+1) for i in range(2))
    page_bytes = 16*p["b"]+p["header"]
    page_start = p["base"]+directory_bytes+page_index*page_bytes
    address = page_start+p["header"]+morton*p["b"]
    return {'pages_x': pages_x, 'pages_y': pages_y, 'directory_bytes': directory_bytes, 'page_x': page_x, 'page_y': page_y, 'page_index': page_index, 'morton': morton, 'page_bytes': page_bytes, 'page_start': page_start, 'address': address}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = {1: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 40, 'page_start': 15, 'address': 23}), ({'w': 6, 'h': 4, 'x': 1, 'y': 2, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 1, 'directory_bytes': 8, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 40, 'page_start': 19, 'address': 45}), ({'w': 10, 'h': 8, 'x': 8, 'y': 6, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 2, 'directory_bytes': 24, 'page_x': 2, 'page_y': 1, 'page_index': 5, 'morton': 8, 'page_bytes': 40, 'page_start': 235, 'address': 259}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 40, 'page_start': 323, 'address': 361}), ({'w': 18, 'h': 10, 'x': 16, 'y': 8, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 5, 'pages_y': 3, 'directory_bytes': 60, 'page_x': 4, 'page_y': 2, 'page_index': 14, 'morton': 0, 'page_bytes': 40, 'page_start': 631, 'address': 639}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 40, 'page_start': 283, 'address': 301})], 2: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 56, 'page_start': 26, 'address': 34}), ({'w': 7, 'h': 5, 'x': 1, 'y': 2, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 2, 'directory_bytes': 16, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 56, 'page_start': 38, 'address': 73}), ({'w': 11, 'h': 9, 'x': 8, 'y': 6, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 3, 'directory_bytes': 36, 'page_x': 2, 'page_y': 1, 'page_index': 5, 'morton': 8, 'page_bytes': 56, 'page_start': 338, 'address': 370}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 56, 'page_start': 446, 'address': 499}), ({'w': 19, 'h': 11, 'x': 16, 'y': 8, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 5, 'pages_y': 3, 'directory_bytes': 60, 'page_x': 4, 'page_y': 2, 'page_index': 14, 'morton': 0, 'page_bytes': 56, 'page_start': 866, 'address': 874}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 56, 'page_start': 390, 'address': 413})], 3: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 72, 'page_start': 37, 'address': 45}), ({'w': 8, 'h': 6, 'x': 1, 'y': 2, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 2, 'directory_bytes': 16, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 72, 'page_start': 49, 'address': 93}), ({'w': 12, 'h': 10, 'x': 8, 'y': 6, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 3, 'directory_bytes': 36, 'page_x': 2, 'page_y': 1, 'page_index': 5, 'morton': 8, 'page_bytes': 72, 'page_start': 429, 'address': 469}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 72, 'page_start': 569, 'address': 637}), ({'w': 20, 'h': 12, 'x': 16, 'y': 8, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 5, 'pages_y': 3, 'directory_bytes': 60, 'page_x': 4, 'page_y': 2, 'page_index': 14, 'morton': 0, 'page_bytes': 72, 'page_start': 1101, 'address': 1109}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 72, 'page_start': 497, 'address': 525})], 4: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 88, 'page_start': 48, 'address': 56}), ({'w': 9, 'h': 7, 'x': 1, 'y': 2, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 2, 'directory_bytes': 24, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 88, 'page_start': 68, 'address': 121}), ({'w': 13, 'h': 11, 'x': 8, 'y': 6, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 3, 'directory_bytes': 48, 'page_x': 2, 'page_y': 1, 'page_index': 6, 'morton': 8, 'page_bytes': 88, 'page_start': 620, 'address': 668}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 88, 'page_start': 692, 'address': 775}), ({'w': 21, 'h': 13, 'x': 16, 'y': 8, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 6, 'pages_y': 4, 'directory_bytes': 96, 'page_x': 4, 'page_y': 2, 'page_index': 16, 'morton': 0, 'page_bytes': 88, 'page_start': 1548, 'address': 1556}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 88, 'page_start': 604, 'address': 637})], 5: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 104, 'page_start': 59, 'address': 67}), ({'w': 10, 'h': 8, 'x': 1, 'y': 2, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 2, 'directory_bytes': 24, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 104, 'page_start': 79, 'address': 141}), ({'w': 14, 'h': 12, 'x': 8, 'y': 6, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 3, 'directory_bytes': 48, 'page_x': 2, 'page_y': 1, 'page_index': 6, 'morton': 8, 'page_bytes': 104, 'page_start': 727, 'address': 783}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 104, 'page_start': 815, 'address': 913}), ({'w': 22, 'h': 14, 'x': 16, 'y': 8, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 6, 'pages_y': 4, 'directory_bytes': 96, 'page_x': 4, 'page_y': 2, 'page_index': 16, 'morton': 0, 'page_bytes': 104, 'page_start': 1815, 'address': 1823}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 104, 'page_start': 711, 'address': 749})]}
for i, (p, expected) in enumerate(cases[N]):
    check("layout fixture " + str(i + 1), solve(p), expected)
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
layout fixture 1{'address': 23, 'directory_bytes': 4, 'morton': 0, 'page_bytes': 40, 'page_index': 0, 'page_start': 15, 'page_x': 0, 'page_y': 0, 'pages_x': 1, 'pages_y': 1}{'address': 23, 'directory_bytes': 4, 'morton': 0, 'page_bytes': 40, 'page_index': 0, 'page_start': 15, 'page_x': 0, 'page_y': 0, 'pages_x': 1, 'pages_y': 1}Passed
layout fixture 2{'address': 41, 'directory_bytes': 4, 'morton': 9, 'page_bytes': 40, 'page_index': 0, 'page_start': 15, 'page_x': 0, 'page_y': 0, 'pages_x': 1, 'pages_y': 1}{'address': 45, 'directory_bytes': 8, 'morton': 9, 'page_bytes': 40, 'page_index': 0, 'page_start': 19, 'page_x': 0, 'page_y': 0, 'pages_x': 2, 'pages_y': 1}Failed
layout fixture 3{'address': 211, 'directory_bytes': 16, 'morton': 8, 'page_bytes': 40, 'page_index': 4, 'page_start': 187, 'page_x': 2, 'page_y': 1, 'pages_x': 2, 'pages_y': 2}{'address': 259, 'directory_bytes': 24, 'morton': 8, 'page_bytes': 40, 'page_index': 5, 'page_start': 235, 'page_x': 2, 'page_y': 1, 'pages_x': 3, 'pages_y': 2}Failed
layout fixture 4{'address': 361, 'directory_bytes': 32, 'morton': 15, 'page_bytes': 40, 'page_index': 7, 'page_start': 323, 'page_x': 3, 'page_y': 1, 'pages_x': 4, 'pages_y': 2}{'address': 361, 'directory_bytes': 32, 'morton': 15, 'page_bytes': 40, 'page_index': 7, 'page_start': 323, 'page_x': 3, 'page_y': 1, 'pages_x': 4, 'pages_y': 2}Passed
layout fixture 5{'address': 547, 'directory_bytes': 48, 'morton': 0, 'page_bytes': 40, 'page_index': 12, 'page_start': 539, 'page_x': 4, 'page_y': 2, 'pages_x': 4, 'pages_y': 3}{'address': 639, 'directory_bytes': 60, 'morton': 0, 'page_bytes': 40, 'page_index': 14, 'page_start': 631, 'page_x': 4, 'page_y': 2, 'pages_x': 5, 'pages_y': 3}Failed
layout fixture 6{'address': 165, 'directory_bytes': 16, 'morton': 5, 'page_bytes': 40, 'page_index': 3, 'page_start': 147, 'page_x': 0, 'page_y': 3, 'pages_x': 1, 'pages_y': 4}{'address': 301, 'directory_bytes': 32, 'morton': 5, 'page_bytes': 40, 'page_index': 6, 'page_start': 283, 'page_x': 0, 'page_y': 3, 'pages_x': 2, 'pages_y': 4}Failed

SHA-256 / 41711a365d7852552ec323b4896347649fafd0c778f5c84671b78d682b366a16

3 / The verified repair

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

N = 1
observations = []
def solve(p):
    p = dict(p)
    pages_x = (p["w"]+3)//4
    pages_y = (p["h"]+3)//4
    directory_bytes = pages_x*pages_y*p["entry"]
    page_x = p["x"]//4
    page_y = p["y"]//4
    page_index = page_y*pages_x+page_x
    morton = sum(((p["x"]>>i)&1)<<(2*i) | ((p["y"]>>i)&1)<<(2*i+1) for i in range(2))
    page_bytes = 16*p["b"]+p["header"]
    page_start = p["base"]+directory_bytes+page_index*page_bytes
    address = page_start+p["header"]+morton*p["b"]
    return {'pages_x': pages_x, 'pages_y': pages_y, 'directory_bytes': directory_bytes, 'page_x': page_x, 'page_y': page_y, 'page_index': page_index, 'morton': morton, 'page_bytes': page_bytes, 'page_start': page_start, 'address': address}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = {1: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 40, 'page_start': 15, 'address': 23}), ({'w': 6, 'h': 4, 'x': 1, 'y': 2, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 1, 'directory_bytes': 8, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 40, 'page_start': 19, 'address': 45}), ({'w': 10, 'h': 8, 'x': 8, 'y': 6, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 2, 'directory_bytes': 24, 'page_x': 2, 'page_y': 1, 'page_index': 5, 'morton': 8, 'page_bytes': 40, 'page_start': 235, 'address': 259}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 40, 'page_start': 323, 'address': 361}), ({'w': 18, 'h': 10, 'x': 16, 'y': 8, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 5, 'pages_y': 3, 'directory_bytes': 60, 'page_x': 4, 'page_y': 2, 'page_index': 14, 'morton': 0, 'page_bytes': 40, 'page_start': 631, 'address': 639}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 2, 'base': 11, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 40, 'page_start': 283, 'address': 301})], 2: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 56, 'page_start': 26, 'address': 34}), ({'w': 7, 'h': 5, 'x': 1, 'y': 2, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 2, 'directory_bytes': 16, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 56, 'page_start': 38, 'address': 73}), ({'w': 11, 'h': 9, 'x': 8, 'y': 6, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 3, 'directory_bytes': 36, 'page_x': 2, 'page_y': 1, 'page_index': 5, 'morton': 8, 'page_bytes': 56, 'page_start': 338, 'address': 370}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 56, 'page_start': 446, 'address': 499}), ({'w': 19, 'h': 11, 'x': 16, 'y': 8, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 5, 'pages_y': 3, 'directory_bytes': 60, 'page_x': 4, 'page_y': 2, 'page_index': 14, 'morton': 0, 'page_bytes': 56, 'page_start': 866, 'address': 874}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 3, 'base': 22, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 56, 'page_start': 390, 'address': 413})], 3: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 72, 'page_start': 37, 'address': 45}), ({'w': 8, 'h': 6, 'x': 1, 'y': 2, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 2, 'directory_bytes': 16, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 72, 'page_start': 49, 'address': 93}), ({'w': 12, 'h': 10, 'x': 8, 'y': 6, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 3, 'directory_bytes': 36, 'page_x': 2, 'page_y': 1, 'page_index': 5, 'morton': 8, 'page_bytes': 72, 'page_start': 429, 'address': 469}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 72, 'page_start': 569, 'address': 637}), ({'w': 20, 'h': 12, 'x': 16, 'y': 8, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 5, 'pages_y': 3, 'directory_bytes': 60, 'page_x': 4, 'page_y': 2, 'page_index': 14, 'morton': 0, 'page_bytes': 72, 'page_start': 1101, 'address': 1109}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 4, 'base': 33, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 72, 'page_start': 497, 'address': 525})], 4: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 88, 'page_start': 48, 'address': 56}), ({'w': 9, 'h': 7, 'x': 1, 'y': 2, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 2, 'directory_bytes': 24, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 88, 'page_start': 68, 'address': 121}), ({'w': 13, 'h': 11, 'x': 8, 'y': 6, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 3, 'directory_bytes': 48, 'page_x': 2, 'page_y': 1, 'page_index': 6, 'morton': 8, 'page_bytes': 88, 'page_start': 620, 'address': 668}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 88, 'page_start': 692, 'address': 775}), ({'w': 21, 'h': 13, 'x': 16, 'y': 8, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 6, 'pages_y': 4, 'directory_bytes': 96, 'page_x': 4, 'page_y': 2, 'page_index': 16, 'morton': 0, 'page_bytes': 88, 'page_start': 1548, 'address': 1556}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 5, 'base': 44, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 88, 'page_start': 604, 'address': 637})], 5: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 1, 'pages_y': 1, 'directory_bytes': 4, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 0, 'page_bytes': 104, 'page_start': 59, 'address': 67}), ({'w': 10, 'h': 8, 'x': 1, 'y': 2, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 3, 'pages_y': 2, 'directory_bytes': 24, 'page_x': 0, 'page_y': 0, 'page_index': 0, 'morton': 9, 'page_bytes': 104, 'page_start': 79, 'address': 141}), ({'w': 14, 'h': 12, 'x': 8, 'y': 6, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 3, 'directory_bytes': 48, 'page_x': 2, 'page_y': 1, 'page_index': 6, 'morton': 8, 'page_bytes': 104, 'page_start': 727, 'address': 783}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 4, 'pages_y': 2, 'directory_bytes': 32, 'page_x': 3, 'page_y': 1, 'page_index': 7, 'morton': 15, 'page_bytes': 104, 'page_start': 815, 'address': 913}), ({'w': 22, 'h': 14, 'x': 16, 'y': 8, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 6, 'pages_y': 4, 'directory_bytes': 96, 'page_x': 4, 'page_y': 2, 'page_index': 16, 'morton': 0, 'page_bytes': 104, 'page_start': 1815, 'address': 1823}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 6, 'base': 55, 'px': 4, 'py': 4, 'header': 8, 'entry': 4}, {'pages_x': 2, 'pages_y': 4, 'directory_bytes': 32, 'page_x': 0, 'page_y': 3, 'page_index': 6, 'morton': 5, 'page_bytes': 104, 'page_start': 711, 'address': 749})]}
for i, (p, expected) in enumerate(cases[N]):
    check("layout fixture " + str(i + 1), solve(p), expected)
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
layout fixture 1{'address': 23, 'directory_bytes': 4, 'morton': 0, 'page_bytes': 40, 'page_index': 0, 'page_start': 15, 'page_x': 0, 'page_y': 0, 'pages_x': 1, 'pages_y': 1}{'address': 23, 'directory_bytes': 4, 'morton': 0, 'page_bytes': 40, 'page_index': 0, 'page_start': 15, 'page_x': 0, 'page_y': 0, 'pages_x': 1, 'pages_y': 1}Passed
layout fixture 2{'address': 45, 'directory_bytes': 8, 'morton': 9, 'page_bytes': 40, 'page_index': 0, 'page_start': 19, 'page_x': 0, 'page_y': 0, 'pages_x': 2, 'pages_y': 1}{'address': 45, 'directory_bytes': 8, 'morton': 9, 'page_bytes': 40, 'page_index': 0, 'page_start': 19, 'page_x': 0, 'page_y': 0, 'pages_x': 2, 'pages_y': 1}Passed
layout fixture 3{'address': 259, 'directory_bytes': 24, 'morton': 8, 'page_bytes': 40, 'page_index': 5, 'page_start': 235, 'page_x': 2, 'page_y': 1, 'pages_x': 3, 'pages_y': 2}{'address': 259, 'directory_bytes': 24, 'morton': 8, 'page_bytes': 40, 'page_index': 5, 'page_start': 235, 'page_x': 2, 'page_y': 1, 'pages_x': 3, 'pages_y': 2}Passed
layout fixture 4{'address': 361, 'directory_bytes': 32, 'morton': 15, 'page_bytes': 40, 'page_index': 7, 'page_start': 323, 'page_x': 3, 'page_y': 1, 'pages_x': 4, 'pages_y': 2}{'address': 361, 'directory_bytes': 32, 'morton': 15, 'page_bytes': 40, 'page_index': 7, 'page_start': 323, 'page_x': 3, 'page_y': 1, 'pages_x': 4, 'pages_y': 2}Passed
layout fixture 5{'address': 639, 'directory_bytes': 60, 'morton': 0, 'page_bytes': 40, 'page_index': 14, 'page_start': 631, 'page_x': 4, 'page_y': 2, 'pages_x': 5, 'pages_y': 3}{'address': 639, 'directory_bytes': 60, 'morton': 0, 'page_bytes': 40, 'page_index': 14, 'page_start': 631, 'page_x': 4, 'page_y': 2, 'pages_x': 5, 'pages_y': 3}Passed
layout fixture 6{'address': 301, 'directory_bytes': 32, 'morton': 5, 'page_bytes': 40, 'page_index': 6, 'page_start': 283, 'page_x': 0, 'page_y': 3, 'pages_x': 2, 'pages_y': 4}{'address': 301, 'directory_bytes': 32, 'morton': 5, 'page_bytes': 40, 'page_index': 6, 'page_start': 283, 'page_x': 0, 'page_y': 3, 'pages_x': 2, 'pages_y': 4}Passed

SHA-256 / b440f4333430bdcdb288d4a4439ea4e39250e90291a5f04585f6caaae7c52466

Verification & scope

Stipulated deterministic toy buffer layout; not a graphics API, codec, GPU vendor tiling specification, or hardware-conformance claim. Inputs satisfy the dimensions and bounds stated by the model. 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 2026-09-29T14:45:23.088887+00:00.

Case digest / e4db881e115d70cc31615adac59fcf99ba8f02c450e15e1cd3d84c1b7098fa20