FA-81426 / MIDI event timing / Open access
Track event parser with running status: deltas treated as absolute times · case 01
Event times reset after each event: the second of two events 10 ticks apart reports tick 10 regardless of history.
ROOT CAUSE
Each event tick is set to its own delta instead of adding the delta to the running time.
VERIFIED REPAIR
Restore the delta accumulation step so that it reads `tick += delta`.
Unsuccessful approach: Taking the maximum of the running tick and the delta still ignores accumulated time for small deltas.
Case contract
Input the bytes of a track body: each event is a variable-length delta then either a meta event (FF type len data...), a status byte (bit 7 set) with its data bytes, or data bytes reusing the previous channel status (running status). Program change (Cx) and channel pressure (Dx) take one data byte, other channel messages two. Meta events cancel running status. Return [absolute tick, status, data...] for channel events and [tick, "meta", type] for meta events, or None on truncation or data without a running status.
Why this case matters
MIDI sequencers, file readers and synth drivers depend on exact event ordering and tick/time arithmetic.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
if not isinstance(x, list):
return None
out = []
i = 0
tick = 0
running = None
while i < len(x):
delta = 0
while True:
if i >= len(x):
return None
b = x[i]
i += 1
delta = (delta << 7) | (b & 0x7F)
if not b & 0x80:
break
tick = delta
if i >= len(x):
return None
status = x[i]
if status == 0xFF:
if i + 2 >= len(x):
return None
kind = x[i + 1]
i += 3 + x[i + 2]
if i > len(x):
return None
running = None
out.append([tick, 'meta', kind])
continue
if status & 0x80:
i += 1
running = status
elif running is None:
return None
else:
status = running
size = 1 if (status & 0xF0) in (0xC0, 0xD0) else 2
if i + size > len(x):
return None
out.append([tick, status] + x[i:i + size])
i += size
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[([0, 144, 60, 100, 10, 60, 0], [[0, 144, 60, 100], [10, 144, 60, 0]]), ([0, 192, 5, 0, 6], [[0, 192, 5], [0, 192, 6]]), ([0, 208, 64, 0, 50], [[0, 208, 64], [0, 208, 50]]), ([0, 144, 60, 100, 0, 255, 1, 0, 0, 62, 100], None), ([0, 144, 60, 100, 0, 255, 1, 1, 65, 0, 62, 100], None), ([0, 176, 7, 100, 20, 10, 90], [[0, 176, 7, 100], [20, 176, 10, 90]]), ([0, 192, 5, 7, 6, 0, 144, 64, 90], [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]])], [([0, 144, 60, 100, 0, 255, 1, 0, 0, 62, 100], None), ([0, 144, 60, 100, 0, 255, 1, 1, 65, 0, 62, 100], None), ([0, 176, 7, 100, 20, 10, 90], [[0, 176, 7, 100], [20, 176, 10, 90]]), ([127, 144, 60, 1], [[127, 144, 60, 1]]), ([128, 0, 144, 60, 1], [[0, 144, 60, 1]]), ([129, 0, 144, 60, 1], [[128, 144, 60, 1]]), ([0, 144, 60], None), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]])], [([127, 144, 60, 1], [[127, 144, 60, 1]]), ([128, 0, 144, 60, 1], [[0, 144, 60, 1]]), ([129, 0, 144, 60, 1], [[128, 144, 60, 1]]), ([0, 144, 60], None), ([0, 62, 100], None), ([0, 192, 5, 7, 6, 0, 144, 64, 90], [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]]), ([0, 255, 47, 0], [[0, 'meta', 47]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]])], [([0, 144, 60], None), ([0, 62, 100], None), ([0, 255, 47, 0], [[0, 'meta', 47]]), ([0, 255, 81, 3, 7, 161, 32, 0, 144, 60, 64], [[0, 'meta', 81], [0, 144, 60, 64]]), ([0, 224, 0, 64, 16, 0, 65], [[0, 224, 0, 64], [16, 224, 0, 65]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]]), ([0, 208, 10, 0, 20], [[0, 208, 10], [0, 208, 20]]), ([0, 255, 3], None)], [([0, 192, 5, 7, 6, 0, 144, 64, 90], [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]]), ([0, 255, 81, 3, 7, 161, 32, 0, 144, 60, 64], [[0, 'meta', 81], [0, 144, 60, 64]]), ([0, 224, 0, 64, 16, 0, 65], [[0, 224, 0, 64], [16, 224, 0, 65]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]]), ([0, 208, 10, 0, 20], [[0, 208, 10], [0, 208, 20]]), ([0, 255, 3], None), ([0, 255, 3, 5, 65], None), ([0, 144, 60, 100, 0, 192, 9, 3, 11], [[0, 144, 60, 100], [0, 192, 9], [3, 192, 11]])]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("oracle %d" % i, solve(args), 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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| oracle 0 | [[0, 144, 60, 100], [10, 144, 60, 0]] | [[0, 144, 60, 100], [10, 144, 60, 0]] | Passed |
| oracle 1 | [[0, 192, 5], [0, 192, 6]] | [[0, 192, 5], [0, 192, 6]] | Passed |
| oracle 2 | [[0, 208, 64], [0, 208, 50]] | [[0, 208, 64], [0, 208, 50]] | Passed |
| oracle 3 | None | None | Passed |
| oracle 4 | None | None | Passed |
| oracle 5 | [[0, 176, 7, 100], [20, 176, 10, 90]] | [[0, 176, 7, 100], [20, 176, 10, 90]] | Passed |
| oracle 6 | [[0, 192, 5], [7, 192, 6], [0, 144, 64, 90]] | [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]] | Failed |
| oracle 7 | [[5, 144, 60, 100], [5, 128, 60, 0], [5, 128, 62, 0]] | [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]] | Failed |
SHA-256 / c11e395636a884f8475e15801a7fdea16b8523728b4d437bd433d83670c71f62
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
if not isinstance(x, list):
return None
out = []
i = 0
tick = 0
running = None
while i < len(x):
delta = 0
while True:
if i >= len(x):
return None
b = x[i]
i += 1
delta = (delta << 7) | (b & 0x7F)
if not b & 0x80:
break
tick = max(tick, delta)
if i >= len(x):
return None
status = x[i]
if status == 0xFF:
if i + 2 >= len(x):
return None
kind = x[i + 1]
i += 3 + x[i + 2]
if i > len(x):
return None
running = None
out.append([tick, 'meta', kind])
continue
if status & 0x80:
i += 1
running = status
elif running is None:
return None
else:
status = running
size = 1 if (status & 0xF0) in (0xC0, 0xD0) else 2
if i + size > len(x):
return None
out.append([tick, status] + x[i:i + size])
i += size
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[([0, 144, 60, 100, 10, 60, 0], [[0, 144, 60, 100], [10, 144, 60, 0]]), ([0, 192, 5, 0, 6], [[0, 192, 5], [0, 192, 6]]), ([0, 208, 64, 0, 50], [[0, 208, 64], [0, 208, 50]]), ([0, 144, 60, 100, 0, 255, 1, 0, 0, 62, 100], None), ([0, 144, 60, 100, 0, 255, 1, 1, 65, 0, 62, 100], None), ([0, 176, 7, 100, 20, 10, 90], [[0, 176, 7, 100], [20, 176, 10, 90]]), ([0, 192, 5, 7, 6, 0, 144, 64, 90], [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]])], [([0, 144, 60, 100, 0, 255, 1, 0, 0, 62, 100], None), ([0, 144, 60, 100, 0, 255, 1, 1, 65, 0, 62, 100], None), ([0, 176, 7, 100, 20, 10, 90], [[0, 176, 7, 100], [20, 176, 10, 90]]), ([127, 144, 60, 1], [[127, 144, 60, 1]]), ([128, 0, 144, 60, 1], [[0, 144, 60, 1]]), ([129, 0, 144, 60, 1], [[128, 144, 60, 1]]), ([0, 144, 60], None), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]])], [([127, 144, 60, 1], [[127, 144, 60, 1]]), ([128, 0, 144, 60, 1], [[0, 144, 60, 1]]), ([129, 0, 144, 60, 1], [[128, 144, 60, 1]]), ([0, 144, 60], None), ([0, 62, 100], None), ([0, 192, 5, 7, 6, 0, 144, 64, 90], [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]]), ([0, 255, 47, 0], [[0, 'meta', 47]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]])], [([0, 144, 60], None), ([0, 62, 100], None), ([0, 255, 47, 0], [[0, 'meta', 47]]), ([0, 255, 81, 3, 7, 161, 32, 0, 144, 60, 64], [[0, 'meta', 81], [0, 144, 60, 64]]), ([0, 224, 0, 64, 16, 0, 65], [[0, 224, 0, 64], [16, 224, 0, 65]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]]), ([0, 208, 10, 0, 20], [[0, 208, 10], [0, 208, 20]]), ([0, 255, 3], None)], [([0, 192, 5, 7, 6, 0, 144, 64, 90], [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]]), ([0, 255, 81, 3, 7, 161, 32, 0, 144, 60, 64], [[0, 'meta', 81], [0, 144, 60, 64]]), ([0, 224, 0, 64, 16, 0, 65], [[0, 224, 0, 64], [16, 224, 0, 65]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]]), ([0, 208, 10, 0, 20], [[0, 208, 10], [0, 208, 20]]), ([0, 255, 3], None), ([0, 255, 3, 5, 65], None), ([0, 144, 60, 100, 0, 192, 9, 3, 11], [[0, 144, 60, 100], [0, 192, 9], [3, 192, 11]])]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("oracle %d" % i, solve(args), 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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| oracle 0 | [[0, 144, 60, 100], [10, 144, 60, 0]] | [[0, 144, 60, 100], [10, 144, 60, 0]] | Passed |
| oracle 1 | [[0, 192, 5], [0, 192, 6]] | [[0, 192, 5], [0, 192, 6]] | Passed |
| oracle 2 | [[0, 208, 64], [0, 208, 50]] | [[0, 208, 64], [0, 208, 50]] | Passed |
| oracle 3 | None | None | Passed |
| oracle 4 | None | None | Passed |
| oracle 5 | [[0, 176, 7, 100], [20, 176, 10, 90]] | [[0, 176, 7, 100], [20, 176, 10, 90]] | Passed |
| oracle 6 | [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]] | [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]] | Passed |
| oracle 7 | [[5, 144, 60, 100], [5, 128, 60, 0], [5, 128, 62, 0]] | [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]] | Failed |
SHA-256 / d8ebbed184461f89c756354a9e9b5ad7cea429a141c2c806a5c50780c711055b
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
if not isinstance(x, list):
return None
out = []
i = 0
tick = 0
running = None
while i < len(x):
delta = 0
while True:
if i >= len(x):
return None
b = x[i]
i += 1
delta = (delta << 7) | (b & 0x7F)
if not b & 0x80:
break
tick += delta
if i >= len(x):
return None
status = x[i]
if status == 0xFF:
if i + 2 >= len(x):
return None
kind = x[i + 1]
i += 3 + x[i + 2]
if i > len(x):
return None
running = None
out.append([tick, 'meta', kind])
continue
if status & 0x80:
i += 1
running = status
elif running is None:
return None
else:
status = running
size = 1 if (status & 0xF0) in (0xC0, 0xD0) else 2
if i + size > len(x):
return None
out.append([tick, status] + x[i:i + size])
i += size
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[([0, 144, 60, 100, 10, 60, 0], [[0, 144, 60, 100], [10, 144, 60, 0]]), ([0, 192, 5, 0, 6], [[0, 192, 5], [0, 192, 6]]), ([0, 208, 64, 0, 50], [[0, 208, 64], [0, 208, 50]]), ([0, 144, 60, 100, 0, 255, 1, 0, 0, 62, 100], None), ([0, 144, 60, 100, 0, 255, 1, 1, 65, 0, 62, 100], None), ([0, 176, 7, 100, 20, 10, 90], [[0, 176, 7, 100], [20, 176, 10, 90]]), ([0, 192, 5, 7, 6, 0, 144, 64, 90], [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]])], [([0, 144, 60, 100, 0, 255, 1, 0, 0, 62, 100], None), ([0, 144, 60, 100, 0, 255, 1, 1, 65, 0, 62, 100], None), ([0, 176, 7, 100, 20, 10, 90], [[0, 176, 7, 100], [20, 176, 10, 90]]), ([127, 144, 60, 1], [[127, 144, 60, 1]]), ([128, 0, 144, 60, 1], [[0, 144, 60, 1]]), ([129, 0, 144, 60, 1], [[128, 144, 60, 1]]), ([0, 144, 60], None), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]])], [([127, 144, 60, 1], [[127, 144, 60, 1]]), ([128, 0, 144, 60, 1], [[0, 144, 60, 1]]), ([129, 0, 144, 60, 1], [[128, 144, 60, 1]]), ([0, 144, 60], None), ([0, 62, 100], None), ([0, 192, 5, 7, 6, 0, 144, 64, 90], [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]]), ([0, 255, 47, 0], [[0, 'meta', 47]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]])], [([0, 144, 60], None), ([0, 62, 100], None), ([0, 255, 47, 0], [[0, 'meta', 47]]), ([0, 255, 81, 3, 7, 161, 32, 0, 144, 60, 64], [[0, 'meta', 81], [0, 144, 60, 64]]), ([0, 224, 0, 64, 16, 0, 65], [[0, 224, 0, 64], [16, 224, 0, 65]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]]), ([0, 208, 10, 0, 20], [[0, 208, 10], [0, 208, 20]]), ([0, 255, 3], None)], [([0, 192, 5, 7, 6, 0, 144, 64, 90], [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]]), ([0, 255, 81, 3, 7, 161, 32, 0, 144, 60, 64], [[0, 'meta', 81], [0, 144, 60, 64]]), ([0, 224, 0, 64, 16, 0, 65], [[0, 224, 0, 64], [16, 224, 0, 65]]), ([5, 144, 60, 100, 5, 128, 60, 0, 5, 62, 0], [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]]), ([0, 208, 10, 0, 20], [[0, 208, 10], [0, 208, 20]]), ([0, 255, 3], None), ([0, 255, 3, 5, 65], None), ([0, 144, 60, 100, 0, 192, 9, 3, 11], [[0, 144, 60, 100], [0, 192, 9], [3, 192, 11]])]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("oracle %d" % i, solve(args), 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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| oracle 0 | [[0, 144, 60, 100], [10, 144, 60, 0]] | [[0, 144, 60, 100], [10, 144, 60, 0]] | Passed |
| oracle 1 | [[0, 192, 5], [0, 192, 6]] | [[0, 192, 5], [0, 192, 6]] | Passed |
| oracle 2 | [[0, 208, 64], [0, 208, 50]] | [[0, 208, 64], [0, 208, 50]] | Passed |
| oracle 3 | None | None | Passed |
| oracle 4 | None | None | Passed |
| oracle 5 | [[0, 176, 7, 100], [20, 176, 10, 90]] | [[0, 176, 7, 100], [20, 176, 10, 90]] | Passed |
| oracle 6 | [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]] | [[0, 192, 5], [7, 192, 6], [7, 144, 64, 90]] | Passed |
| oracle 7 | [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]] | [[5, 144, 60, 100], [10, 128, 60, 0], [15, 128, 62, 0]] | Passed |
SHA-256 / 4e01736750ac17c5c378a2119ae520a62703434d083bb737c19d3fac08824435
Verification & scope
A deterministic bounded teaching model with a stipulated toy contract; it is not a complete Standard MIDI File or MIDI 1.0/2.0 implementation. 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 2026-09-29T14:50:03.013376+00:00.
Case digest / f382a221a5c4137a2391b651983020cc66632b2103abdbd05e44932b3f42aa81