FAILURE MAP
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FA-52191 / Raster memory layout / Open access

Independent Chroma Planes: Chroma width truncates odd luma edge or skips subsampling · case 01

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

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

ROOT CAUSE

Chroma width truncates odd luma edge or skips subsampling The faulty expression is max(1,p["w"]//2).

THE FAILURE

Chroma width truncates odd luma edge or skips subsampling The faulty expression is max(1,p["w"]//2).

Unsuccessful approach: The attempted repair uses p["w"] and still violates the layout contract.

Case contract

A 4:2:0 toy image has a byte luma plane plus independent U and V planes with distinct row guards. Chroma rounds odd dimensions up; plane headers are [1,2,3] bytes. Return physical sample locations for in-bounds luma coordinate. 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)
    chroma_width = max(1,p["w"]//2)
    chroma_height = (p["h"]+1)//2
    u_pitch = chroma_width+p["ug"]
    v_pitch = chroma_width+p["vg"]
    u_origin = p["base"]+1+p["w"]*p["h"]+2
    v_origin = u_origin+u_pitch*chroma_height+3
    luma_address = p["base"]+1+p["y"]*p["w"]+p["x"]
    u_address = u_origin+(p["y"]//2)*u_pitch+p["x"]//2
    v_address = v_origin+(p["y"]//2)*v_pitch+p["x"]//2
    allocation_end = v_origin+v_pitch*chroma_height
    return {'chroma_width': chroma_width, 'chroma_height': chroma_height, 'u_pitch': u_pitch, 'v_pitch': v_pitch, 'u_origin': u_origin, 'v_origin': v_origin, 'luma_address': luma_address, 'u_address': u_address, 'v_address': v_address, 'allocation_end': allocation_end}
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, 'ug': 2, 'vg': 3}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 3, 'v_pitch': 4, 'u_origin': 15, 'v_origin': 21, 'luma_address': 12, 'u_address': 15, 'v_address': 21, 'allocation_end': 25}), ({'w': 6, 'h': 4, 'x': 1, 'y': 2, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 3, 'chroma_height': 2, 'u_pitch': 5, 'v_pitch': 6, 'u_origin': 38, 'v_origin': 51, 'luma_address': 25, 'u_address': 43, 'v_address': 57, 'allocation_end': 63}), ({'w': 10, 'h': 8, 'x': 8, 'y': 6, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 5, 'chroma_height': 4, 'u_pitch': 7, 'v_pitch': 8, 'u_origin': 94, 'v_origin': 125, 'luma_address': 80, 'u_address': 119, 'v_address': 153, 'allocation_end': 157}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 10, 'v_pitch': 11, 'u_origin': 142, 'v_origin': 185, 'luma_address': 139, 'u_address': 179, 'v_address': 225, 'allocation_end': 229}), ({'w': 18, 'h': 10, 'x': 16, 'y': 8, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 9, 'chroma_height': 5, 'u_pitch': 11, 'v_pitch': 12, 'u_origin': 194, 'v_origin': 252, 'luma_address': 172, 'u_address': 246, 'v_address': 308, 'allocation_end': 312}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 6, 'v_pitch': 7, 'u_origin': 105, 'v_origin': 150, 'luma_address': 99, 'u_address': 142, 'v_address': 193, 'allocation_end': 199})], 2: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 4, 'v_pitch': 5, 'u_origin': 26, 'v_origin': 33, 'luma_address': 23, 'u_address': 26, 'v_address': 33, 'allocation_end': 38}), ({'w': 7, 'h': 5, 'x': 1, 'y': 2, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 4, 'chroma_height': 3, 'u_pitch': 7, 'v_pitch': 8, 'u_origin': 60, 'v_origin': 84, 'luma_address': 38, 'u_address': 67, 'v_address': 92, 'allocation_end': 108}), ({'w': 11, 'h': 9, 'x': 8, 'y': 6, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 6, 'chroma_height': 5, 'u_pitch': 9, 'v_pitch': 10, 'u_origin': 124, 'v_origin': 172, 'luma_address': 97, 'u_address': 155, 'v_address': 206, 'allocation_end': 222}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 11, 'v_pitch': 12, 'u_origin': 153, 'v_origin': 200, 'luma_address': 150, 'u_address': 193, 'v_address': 243, 'allocation_end': 248}), ({'w': 19, 'h': 11, 'x': 16, 'y': 8, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 10, 'chroma_height': 6, 'u_pitch': 13, 'v_pitch': 14, 'u_origin': 234, 'v_origin': 315, 'luma_address': 191, 'u_address': 294, 'v_address': 379, 'allocation_end': 399}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 7, 'v_pitch': 8, 'u_origin': 116, 'v_origin': 168, 'luma_address': 110, 'u_address': 159, 'v_address': 217, 'allocation_end': 224})], 3: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 5, 'v_pitch': 6, 'u_origin': 37, 'v_origin': 45, 'luma_address': 34, 'u_address': 37, 'v_address': 45, 'allocation_end': 51}), ({'w': 8, 'h': 6, 'x': 1, 'y': 2, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 4, 'chroma_height': 3, 'u_pitch': 8, 'v_pitch': 9, 'u_origin': 84, 'v_origin': 111, 'luma_address': 51, 'u_address': 92, 'v_address': 120, 'allocation_end': 138}), ({'w': 12, 'h': 10, 'x': 8, 'y': 6, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 6, 'chroma_height': 5, 'u_pitch': 10, 'v_pitch': 11, 'u_origin': 156, 'v_origin': 209, 'luma_address': 114, 'u_address': 190, 'v_address': 246, 'allocation_end': 264}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 12, 'v_pitch': 13, 'u_origin': 164, 'v_origin': 215, 'luma_address': 161, 'u_address': 207, 'v_address': 261, 'allocation_end': 267}), ({'w': 20, 'h': 12, 'x': 16, 'y': 8, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 10, 'chroma_height': 6, 'u_pitch': 14, 'v_pitch': 15, 'u_origin': 276, 'v_origin': 363, 'luma_address': 210, 'u_address': 340, 'v_address': 431, 'allocation_end': 453}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 8, 'v_pitch': 9, 'u_origin': 127, 'v_origin': 186, 'luma_address': 121, 'u_address': 176, 'v_address': 241, 'allocation_end': 249})], 4: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 6, 'v_pitch': 7, 'u_origin': 48, 'v_origin': 57, 'luma_address': 45, 'u_address': 48, 'v_address': 57, 'allocation_end': 64}), ({'w': 9, 'h': 7, 'x': 1, 'y': 2, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 5, 'chroma_height': 4, 'u_pitch': 10, 'v_pitch': 11, 'u_origin': 110, 'v_origin': 153, 'luma_address': 64, 'u_address': 120, 'v_address': 164, 'allocation_end': 197}), ({'w': 13, 'h': 11, 'x': 8, 'y': 6, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 7, 'chroma_height': 6, 'u_pitch': 12, 'v_pitch': 13, 'u_origin': 190, 'v_origin': 265, 'luma_address': 131, 'u_address': 230, 'v_address': 308, 'allocation_end': 343}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 13, 'v_pitch': 14, 'u_origin': 175, 'v_origin': 230, 'luma_address': 172, 'u_address': 221, 'v_address': 279, 'allocation_end': 286}), ({'w': 21, 'h': 13, 'x': 16, 'y': 8, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 11, 'chroma_height': 7, 'u_pitch': 16, 'v_pitch': 17, 'u_origin': 320, 'v_origin': 435, 'luma_address': 229, 'u_address': 392, 'v_address': 511, 'allocation_end': 554}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 9, 'v_pitch': 10, 'u_origin': 138, 'v_origin': 204, 'luma_address': 132, 'u_address': 193, 'v_address': 265, 'allocation_end': 274})], 5: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 7, 'v_pitch': 8, 'u_origin': 59, 'v_origin': 69, 'luma_address': 56, 'u_address': 59, 'v_address': 69, 'allocation_end': 77}), ({'w': 10, 'h': 8, 'x': 1, 'y': 2, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 5, 'chroma_height': 4, 'u_pitch': 11, 'v_pitch': 12, 'u_origin': 138, 'v_origin': 185, 'luma_address': 77, 'u_address': 149, 'v_address': 197, 'allocation_end': 233}), ({'w': 14, 'h': 12, 'x': 8, 'y': 6, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 7, 'chroma_height': 6, 'u_pitch': 13, 'v_pitch': 14, 'u_origin': 226, 'v_origin': 307, 'luma_address': 148, 'u_address': 269, 'v_address': 353, 'allocation_end': 391}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 14, 'v_pitch': 15, 'u_origin': 186, 'v_origin': 245, 'luma_address': 183, 'u_address': 235, 'v_address': 297, 'allocation_end': 305}), ({'w': 22, 'h': 14, 'x': 16, 'y': 8, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 11, 'chroma_height': 7, 'u_pitch': 17, 'v_pitch': 18, 'u_origin': 366, 'v_origin': 488, 'luma_address': 248, 'u_address': 442, 'v_address': 568, 'allocation_end': 614}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 10, 'v_pitch': 11, 'u_origin': 149, 'v_origin': 222, 'luma_address': 143, 'u_address': 210, 'v_address': 289, 'allocation_end': 299})]}
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{'allocation_end': 25, 'chroma_height': 1, 'chroma_width': 1, 'luma_address': 12, 'u_address': 15, 'u_origin': 15, 'u_pitch': 3, 'v_address': 21, 'v_origin': 21, 'v_pitch': 4}{'allocation_end': 25, 'chroma_height': 1, 'chroma_width': 1, 'luma_address': 12, 'u_address': 15, 'u_origin': 15, 'u_pitch': 3, 'v_address': 21, 'v_origin': 21, 'v_pitch': 4}Passed
layout fixture 2{'allocation_end': 63, 'chroma_height': 2, 'chroma_width': 3, 'luma_address': 25, 'u_address': 43, 'u_origin': 38, 'u_pitch': 5, 'v_address': 57, 'v_origin': 51, 'v_pitch': 6}{'allocation_end': 63, 'chroma_height': 2, 'chroma_width': 3, 'luma_address': 25, 'u_address': 43, 'u_origin': 38, 'u_pitch': 5, 'v_address': 57, 'v_origin': 51, 'v_pitch': 6}Passed
layout fixture 3{'allocation_end': 157, 'chroma_height': 4, 'chroma_width': 5, 'luma_address': 80, 'u_address': 119, 'u_origin': 94, 'u_pitch': 7, 'v_address': 153, 'v_origin': 125, 'v_pitch': 8}{'allocation_end': 157, 'chroma_height': 4, 'chroma_width': 5, 'luma_address': 80, 'u_address': 119, 'u_origin': 94, 'u_pitch': 7, 'v_address': 153, 'v_origin': 125, 'v_pitch': 8}Passed
layout fixture 4{'allocation_end': 229, 'chroma_height': 4, 'chroma_width': 8, 'luma_address': 139, 'u_address': 179, 'u_origin': 142, 'u_pitch': 10, 'v_address': 225, 'v_origin': 185, 'v_pitch': 11}{'allocation_end': 229, 'chroma_height': 4, 'chroma_width': 8, 'luma_address': 139, 'u_address': 179, 'u_origin': 142, 'u_pitch': 10, 'v_address': 225, 'v_origin': 185, 'v_pitch': 11}Passed
layout fixture 5{'allocation_end': 312, 'chroma_height': 5, 'chroma_width': 9, 'luma_address': 172, 'u_address': 246, 'u_origin': 194, 'u_pitch': 11, 'v_address': 308, 'v_origin': 252, 'v_pitch': 12}{'allocation_end': 312, 'chroma_height': 5, 'chroma_width': 9, 'luma_address': 172, 'u_address': 246, 'u_origin': 194, 'u_pitch': 11, 'v_address': 308, 'v_origin': 252, 'v_pitch': 12}Passed
layout fixture 6{'allocation_end': 185, 'chroma_height': 7, 'chroma_width': 3, 'luma_address': 99, 'u_address': 136, 'u_origin': 105, 'u_pitch': 5, 'v_address': 180, 'v_origin': 143, 'v_pitch': 6}{'allocation_end': 199, 'chroma_height': 7, 'chroma_width': 4, 'luma_address': 99, 'u_address': 142, 'u_origin': 105, 'u_pitch': 6, 'v_address': 193, 'v_origin': 150, 'v_pitch': 7}Failed

SHA-256 / 7c43b744a5d83ef7310503a3ca24c0df898fffa302b85c71cc8d6aca4078df29

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)
    chroma_width = p["w"]
    chroma_height = (p["h"]+1)//2
    u_pitch = chroma_width+p["ug"]
    v_pitch = chroma_width+p["vg"]
    u_origin = p["base"]+1+p["w"]*p["h"]+2
    v_origin = u_origin+u_pitch*chroma_height+3
    luma_address = p["base"]+1+p["y"]*p["w"]+p["x"]
    u_address = u_origin+(p["y"]//2)*u_pitch+p["x"]//2
    v_address = v_origin+(p["y"]//2)*v_pitch+p["x"]//2
    allocation_end = v_origin+v_pitch*chroma_height
    return {'chroma_width': chroma_width, 'chroma_height': chroma_height, 'u_pitch': u_pitch, 'v_pitch': v_pitch, 'u_origin': u_origin, 'v_origin': v_origin, 'luma_address': luma_address, 'u_address': u_address, 'v_address': v_address, 'allocation_end': allocation_end}
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, 'ug': 2, 'vg': 3}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 3, 'v_pitch': 4, 'u_origin': 15, 'v_origin': 21, 'luma_address': 12, 'u_address': 15, 'v_address': 21, 'allocation_end': 25}), ({'w': 6, 'h': 4, 'x': 1, 'y': 2, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 3, 'chroma_height': 2, 'u_pitch': 5, 'v_pitch': 6, 'u_origin': 38, 'v_origin': 51, 'luma_address': 25, 'u_address': 43, 'v_address': 57, 'allocation_end': 63}), ({'w': 10, 'h': 8, 'x': 8, 'y': 6, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 5, 'chroma_height': 4, 'u_pitch': 7, 'v_pitch': 8, 'u_origin': 94, 'v_origin': 125, 'luma_address': 80, 'u_address': 119, 'v_address': 153, 'allocation_end': 157}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 10, 'v_pitch': 11, 'u_origin': 142, 'v_origin': 185, 'luma_address': 139, 'u_address': 179, 'v_address': 225, 'allocation_end': 229}), ({'w': 18, 'h': 10, 'x': 16, 'y': 8, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 9, 'chroma_height': 5, 'u_pitch': 11, 'v_pitch': 12, 'u_origin': 194, 'v_origin': 252, 'luma_address': 172, 'u_address': 246, 'v_address': 308, 'allocation_end': 312}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 2, 'base': 11, 'ug': 2, 'vg': 3}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 6, 'v_pitch': 7, 'u_origin': 105, 'v_origin': 150, 'luma_address': 99, 'u_address': 142, 'v_address': 193, 'allocation_end': 199})], 2: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 4, 'v_pitch': 5, 'u_origin': 26, 'v_origin': 33, 'luma_address': 23, 'u_address': 26, 'v_address': 33, 'allocation_end': 38}), ({'w': 7, 'h': 5, 'x': 1, 'y': 2, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 4, 'chroma_height': 3, 'u_pitch': 7, 'v_pitch': 8, 'u_origin': 60, 'v_origin': 84, 'luma_address': 38, 'u_address': 67, 'v_address': 92, 'allocation_end': 108}), ({'w': 11, 'h': 9, 'x': 8, 'y': 6, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 6, 'chroma_height': 5, 'u_pitch': 9, 'v_pitch': 10, 'u_origin': 124, 'v_origin': 172, 'luma_address': 97, 'u_address': 155, 'v_address': 206, 'allocation_end': 222}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 11, 'v_pitch': 12, 'u_origin': 153, 'v_origin': 200, 'luma_address': 150, 'u_address': 193, 'v_address': 243, 'allocation_end': 248}), ({'w': 19, 'h': 11, 'x': 16, 'y': 8, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 10, 'chroma_height': 6, 'u_pitch': 13, 'v_pitch': 14, 'u_origin': 234, 'v_origin': 315, 'luma_address': 191, 'u_address': 294, 'v_address': 379, 'allocation_end': 399}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 3, 'base': 22, 'ug': 3, 'vg': 4}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 7, 'v_pitch': 8, 'u_origin': 116, 'v_origin': 168, 'luma_address': 110, 'u_address': 159, 'v_address': 217, 'allocation_end': 224})], 3: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 5, 'v_pitch': 6, 'u_origin': 37, 'v_origin': 45, 'luma_address': 34, 'u_address': 37, 'v_address': 45, 'allocation_end': 51}), ({'w': 8, 'h': 6, 'x': 1, 'y': 2, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 4, 'chroma_height': 3, 'u_pitch': 8, 'v_pitch': 9, 'u_origin': 84, 'v_origin': 111, 'luma_address': 51, 'u_address': 92, 'v_address': 120, 'allocation_end': 138}), ({'w': 12, 'h': 10, 'x': 8, 'y': 6, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 6, 'chroma_height': 5, 'u_pitch': 10, 'v_pitch': 11, 'u_origin': 156, 'v_origin': 209, 'luma_address': 114, 'u_address': 190, 'v_address': 246, 'allocation_end': 264}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 12, 'v_pitch': 13, 'u_origin': 164, 'v_origin': 215, 'luma_address': 161, 'u_address': 207, 'v_address': 261, 'allocation_end': 267}), ({'w': 20, 'h': 12, 'x': 16, 'y': 8, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 10, 'chroma_height': 6, 'u_pitch': 14, 'v_pitch': 15, 'u_origin': 276, 'v_origin': 363, 'luma_address': 210, 'u_address': 340, 'v_address': 431, 'allocation_end': 453}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 4, 'base': 33, 'ug': 4, 'vg': 5}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 8, 'v_pitch': 9, 'u_origin': 127, 'v_origin': 186, 'luma_address': 121, 'u_address': 176, 'v_address': 241, 'allocation_end': 249})], 4: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 6, 'v_pitch': 7, 'u_origin': 48, 'v_origin': 57, 'luma_address': 45, 'u_address': 48, 'v_address': 57, 'allocation_end': 64}), ({'w': 9, 'h': 7, 'x': 1, 'y': 2, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 5, 'chroma_height': 4, 'u_pitch': 10, 'v_pitch': 11, 'u_origin': 110, 'v_origin': 153, 'luma_address': 64, 'u_address': 120, 'v_address': 164, 'allocation_end': 197}), ({'w': 13, 'h': 11, 'x': 8, 'y': 6, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 7, 'chroma_height': 6, 'u_pitch': 12, 'v_pitch': 13, 'u_origin': 190, 'v_origin': 265, 'luma_address': 131, 'u_address': 230, 'v_address': 308, 'allocation_end': 343}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 13, 'v_pitch': 14, 'u_origin': 175, 'v_origin': 230, 'luma_address': 172, 'u_address': 221, 'v_address': 279, 'allocation_end': 286}), ({'w': 21, 'h': 13, 'x': 16, 'y': 8, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 11, 'chroma_height': 7, 'u_pitch': 16, 'v_pitch': 17, 'u_origin': 320, 'v_origin': 435, 'luma_address': 229, 'u_address': 392, 'v_address': 511, 'allocation_end': 554}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 5, 'base': 44, 'ug': 5, 'vg': 6}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 9, 'v_pitch': 10, 'u_origin': 138, 'v_origin': 204, 'luma_address': 132, 'u_address': 193, 'v_address': 265, 'allocation_end': 274})], 5: [({'w': 1, 'h': 1, 'x': 0, 'y': 0, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 1, 'chroma_height': 1, 'u_pitch': 7, 'v_pitch': 8, 'u_origin': 59, 'v_origin': 69, 'luma_address': 56, 'u_address': 59, 'v_address': 69, 'allocation_end': 77}), ({'w': 10, 'h': 8, 'x': 1, 'y': 2, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 5, 'chroma_height': 4, 'u_pitch': 11, 'v_pitch': 12, 'u_origin': 138, 'v_origin': 185, 'luma_address': 77, 'u_address': 149, 'v_address': 197, 'allocation_end': 233}), ({'w': 14, 'h': 12, 'x': 8, 'y': 6, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 7, 'chroma_height': 6, 'u_pitch': 13, 'v_pitch': 14, 'u_origin': 226, 'v_origin': 307, 'luma_address': 148, 'u_address': 269, 'v_address': 353, 'allocation_end': 391}), ({'w': 16, 'h': 8, 'x': 15, 'y': 7, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 8, 'chroma_height': 4, 'u_pitch': 14, 'v_pitch': 15, 'u_origin': 186, 'v_origin': 245, 'luma_address': 183, 'u_address': 235, 'v_address': 297, 'allocation_end': 305}), ({'w': 22, 'h': 14, 'x': 16, 'y': 8, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 11, 'chroma_height': 7, 'u_pitch': 17, 'v_pitch': 18, 'u_origin': 366, 'v_origin': 488, 'luma_address': 248, 'u_address': 442, 'v_address': 568, 'allocation_end': 614}), ({'w': 7, 'h': 13, 'x': 3, 'y': 12, 'b': 6, 'base': 55, 'ug': 6, 'vg': 7}, {'chroma_width': 4, 'chroma_height': 7, 'u_pitch': 10, 'v_pitch': 11, 'u_origin': 149, 'v_origin': 222, 'luma_address': 143, 'u_address': 210, 'v_address': 289, 'allocation_end': 299})]}
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{'allocation_end': 25, 'chroma_height': 1, 'chroma_width': 1, 'luma_address': 12, 'u_address': 15, 'u_origin': 15, 'u_pitch': 3, 'v_address': 21, 'v_origin': 21, 'v_pitch': 4}{'allocation_end': 25, 'chroma_height': 1, 'chroma_width': 1, 'luma_address': 12, 'u_address': 15, 'u_origin': 15, 'u_pitch': 3, 'v_address': 21, 'v_origin': 21, 'v_pitch': 4}Passed
layout fixture 2{'allocation_end': 75, 'chroma_height': 2, 'chroma_width': 6, 'luma_address': 25, 'u_address': 46, 'u_origin': 38, 'u_pitch': 8, 'v_address': 66, 'v_origin': 57, 'v_pitch': 9}{'allocation_end': 63, 'chroma_height': 2, 'chroma_width': 3, 'luma_address': 25, 'u_address': 43, 'u_origin': 38, 'u_pitch': 5, 'v_address': 57, 'v_origin': 51, 'v_pitch': 6}Failed
layout fixture 3{'allocation_end': 197, 'chroma_height': 4, 'chroma_width': 10, 'luma_address': 80, 'u_address': 134, 'u_origin': 94, 'u_pitch': 12, 'v_address': 188, 'v_origin': 145, 'v_pitch': 13}{'allocation_end': 157, 'chroma_height': 4, 'chroma_width': 5, 'luma_address': 80, 'u_address': 119, 'u_origin': 94, 'u_pitch': 7, 'v_address': 153, 'v_origin': 125, 'v_pitch': 8}Failed
layout fixture 4{'allocation_end': 293, 'chroma_height': 4, 'chroma_width': 16, 'luma_address': 139, 'u_address': 203, 'u_origin': 142, 'u_pitch': 18, 'v_address': 281, 'v_origin': 217, 'v_pitch': 19}{'allocation_end': 229, 'chroma_height': 4, 'chroma_width': 8, 'luma_address': 139, 'u_address': 179, 'u_origin': 142, 'u_pitch': 10, 'v_address': 225, 'v_origin': 185, 'v_pitch': 11}Failed
layout fixture 5{'allocation_end': 402, 'chroma_height': 5, 'chroma_width': 18, 'luma_address': 172, 'u_address': 282, 'u_origin': 194, 'u_pitch': 20, 'v_address': 389, 'v_origin': 297, 'v_pitch': 21}{'allocation_end': 312, 'chroma_height': 5, 'chroma_width': 9, 'luma_address': 172, 'u_address': 246, 'u_origin': 194, 'u_pitch': 11, 'v_address': 308, 'v_origin': 252, 'v_pitch': 12}Failed
layout fixture 6{'allocation_end': 241, 'chroma_height': 7, 'chroma_width': 7, 'luma_address': 99, 'u_address': 160, 'u_origin': 105, 'u_pitch': 9, 'v_address': 232, 'v_origin': 171, 'v_pitch': 10}{'allocation_end': 199, 'chroma_height': 7, 'chroma_width': 4, 'luma_address': 99, 'u_address': 142, 'u_origin': 105, 'u_pitch': 6, 'v_address': 193, 'v_origin': 150, 'v_pitch': 7}Failed

SHA-256 / 201fdf0b3f555aac2b14b043d6d41cc234967c3b75d42c80a92094e519abf2a9

HELD IN THE MEMBER ARCHIVE

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

This mechanism has 6 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

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 2026-09-29T14:45:26.903230+00:00.

Case digest / cc48724c1ede5d62ef1ea66431483e18f74159992079b4403698fdab46e103a4