FA-79461 / Barcode symbology encoding / Open access
Code 39 width omits the start and stop characters · case 01
Printed symbols are wider than the layout box and get clipped.
ROOT CAUSE
The character count excludes the two "*" framing characters.
VERIFIED REPAIR
Count the start and stop characters in the symbol width.
Unsuccessful approach: Adding one frame character still misses the other.
Case contract
Encode text for Code 39 with a wide:narrow ratio of 2 or 3. Standard mode accepts only the 43 characters 0-9 A-Z - . space $ / + %. Full ASCII mode maps lowercase to "+" plus the capital, controls 1..26 to "$" plus A..Z, NUL to %U, 27..31 to %A..%E, DEL to %T, and punctuation (including the four standard shift characters $ % + /) to its two-character escape. Every symbol character, including the start/stop "*", has 6 narrow and 3 wide elements, and one narrow gap separates adjacent characters. Return the framed data and the total width in narrow modules.
Why this case matters
Retail, logistics, pharmacy and document workflows depend on encoders that produce exactly the module pattern, code-set switches, separators and quiet zones scanners expect; one misplaced module or separator makes a label unreadable or, worse, scan as different data.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(text, mode, ratio):
std = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ-. $/+%'
if ratio not in (2, 3):
return {'error': 'ratio'}
if mode == 'standard':
for ch in text:
if ch not in std:
return {'error': 'char', 'char': ch}
enc = text
else:
punct = {'$': '/D', '%': '/E', '+': '/K', '/': '/O', '!': '/A', '"': '/B', '#': '/C', '&': '/F', "'": '/G',
'(': '/H', ')': '/I', '*': '/J', ',': '/L', ':': '/Z', ';': '%F', '<': '%G', '=': '%H', '>': '%I',
'?': '%J', '@': '%V', '[': '%K', '\\': '%L', ']': '%M', '^': '%N', '_': '%O', '`': '%W',
'{': '%P', '|': '%Q', '}': '%R', '~': '%S'}
enc = ''
for ch in text:
o = ord(ch)
if o > 127:
return {'error': 'char', 'char': ch}
if ch in punct:
enc += punct[ch]
elif 'a' <= ch <= 'z':
enc += '+' + ch.upper()
elif 1 <= o <= 26:
enc += '$' + chr(o + 64)
elif o == 0:
enc += '%U'
elif 27 <= o <= 31:
enc += '%' + chr(o - 27 + 65)
elif o == 127:
enc += '%T'
else:
enc += ch
count = len(enc)
return {'data': '*' + enc + '*', 'modules': count * (6 + 3 * ratio) + (count - 1)}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[[('PN/7PN/7$5', 'full', 3), {'data': '*PN/O7PN/O7/D5*', 'modules': 239}], [('', 'standard', 3), {'data': '**', 'modules': 31}], [('café', 'standard', 4), {'error': 'ratio'}], [('ABPN/7PN/7', 'full', 1), {'error': 'ratio'}], [('a+ba+b', 'full', 4), {'error': 'ratio'}], [('Z-9a+blot', 'standard', 2), {'error': 'char', 'char': 'a'}], [('café\t', 'full', 4), {'error': 'ratio'}], [('\x1b', 'full', 2), {'data': '*%A*', 'modules': 51}]], [[('\x1blotlot', 'full', 2), {'data': '*%A+L+O+T+L+O+T*', 'modules': 207}], [('\t\x7fq', 'full', 2), {'data': '*$I%T+Q*', 'modules': 103}], [('', 'standard', 1), {'error': 'ratio'}], [('PN/7\x1blot', 'full', 4), {'error': 'ratio'}], [('\x00caféq', 'full', 4), {'error': 'ratio'}], [('q$5café', 'standard', 4), {'error': 'ratio'}], [('', 'full', 4), {'error': 'ratio'}], [('#1', 'full', 2), {'data': '*/C1*', 'modules': 64}]], [[('$5 \x00', 'full', 2), {'data': '*/D5 %U*', 'modules': 103}], [('', 'full', 2), {'data': '**', 'modules': 25}], [('#1café', 'standard', 4), {'error': 'ratio'}], [(' ', 'full', 1), {'error': 'ratio'}], [('*\x1bcafé', 'full', 2), {'error': 'char', 'char': 'é'}], [('', 'full', 4), {'error': 'ratio'}], [('\x7f#1', 'standard', 4), {'error': 'ratio'}], [('ABPN/7Z-9', 'full', 2), {'data': '*ABPN/O7Z-9*', 'modules': 155}]], [[('AB12', 'standard', 2), {'data': '*AB12*', 'modules': 77}], [('', 'full', 2), {'data': '**', 'modules': 25}], [('#1café', 'full', 2), {'error': 'char', 'char': 'é'}], [(' ABPN/7', 'full', 1), {'error': 'ratio'}], [('qAB', 'standard', 3), {'error': 'char', 'char': 'q'}], [('Z-950%', 'full', 1), {'error': 'ratio'}], [('', 'full', 4), {'error': 'ratio'}], [('*', 'full', 2), {'data': '*/J*', 'modules': 51}]], [[('$5lot', 'full', 3), {'data': '*/D5+L+O+T*', 'modules': 175}], [('a+ba+b', 'full', 3), {'data': '*+A/K+B+A/K+B*', 'modules': 223}], [('AB\x1b', 'standard', 1), {'error': 'ratio'}], [('Z-9$512', 'standard', 4), {'error': 'ratio'}], [('xq', 'standard', 1), {'error': 'ratio'}], [('\x7f$5', 'full', 1), {'error': 'ratio'}], [('\x7f#1', 'full', 4), {'error': 'ratio'}], [(' \t', 'full', 2), {'data': '* $I*', 'modules': 77}]]]
labels = ["regression: start and stop characters", "repair trap", "combined fault", "control", "control", "boundary", "boundary", "control"]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("%s %d" % (labels[i % len(labels)], 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 |
|---|---|---|---|
| regression: start and stop characters 0 | {'data': '*PN/O7PN/O7/D5*', 'modules': 207} | {'data': '*PN/O7PN/O7/D5*', 'modules': 239} | Failed |
| repair trap 1 | {'data': '**', 'modules': -1} | {'data': '**', 'modules': 31} | Failed |
| combined fault 2 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| control 3 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| control 4 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| boundary 5 | {'char': 'a', 'error': 'char'} | {'char': 'a', 'error': 'char'} | Passed |
| boundary 6 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| control 7 | {'data': '*%A*', 'modules': 25} | {'data': '*%A*', 'modules': 51} | Failed |
SHA-256 / 4969fdd4590e5004294b6418efd2712cae45e27d1a9e0bdcd6b179a0230026c7
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(text, mode, ratio):
std = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ-. $/+%'
if ratio not in (2, 3):
return {'error': 'ratio'}
if mode == 'standard':
for ch in text:
if ch not in std:
return {'error': 'char', 'char': ch}
enc = text
else:
punct = {'$': '/D', '%': '/E', '+': '/K', '/': '/O', '!': '/A', '"': '/B', '#': '/C', '&': '/F', "'": '/G',
'(': '/H', ')': '/I', '*': '/J', ',': '/L', ':': '/Z', ';': '%F', '<': '%G', '=': '%H', '>': '%I',
'?': '%J', '@': '%V', '[': '%K', '\\': '%L', ']': '%M', '^': '%N', '_': '%O', '`': '%W',
'{': '%P', '|': '%Q', '}': '%R', '~': '%S'}
enc = ''
for ch in text:
o = ord(ch)
if o > 127:
return {'error': 'char', 'char': ch}
if ch in punct:
enc += punct[ch]
elif 'a' <= ch <= 'z':
enc += '+' + ch.upper()
elif 1 <= o <= 26:
enc += '$' + chr(o + 64)
elif o == 0:
enc += '%U'
elif 27 <= o <= 31:
enc += '%' + chr(o - 27 + 65)
elif o == 127:
enc += '%T'
else:
enc += ch
count = len(enc) + 1
return {'data': '*' + enc + '*', 'modules': count * (6 + 3 * ratio) + (count - 1)}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[[('PN/7PN/7$5', 'full', 3), {'data': '*PN/O7PN/O7/D5*', 'modules': 239}], [('', 'standard', 3), {'data': '**', 'modules': 31}], [('café', 'standard', 4), {'error': 'ratio'}], [('ABPN/7PN/7', 'full', 1), {'error': 'ratio'}], [('a+ba+b', 'full', 4), {'error': 'ratio'}], [('Z-9a+blot', 'standard', 2), {'error': 'char', 'char': 'a'}], [('café\t', 'full', 4), {'error': 'ratio'}], [('\x1b', 'full', 2), {'data': '*%A*', 'modules': 51}]], [[('\x1blotlot', 'full', 2), {'data': '*%A+L+O+T+L+O+T*', 'modules': 207}], [('\t\x7fq', 'full', 2), {'data': '*$I%T+Q*', 'modules': 103}], [('', 'standard', 1), {'error': 'ratio'}], [('PN/7\x1blot', 'full', 4), {'error': 'ratio'}], [('\x00caféq', 'full', 4), {'error': 'ratio'}], [('q$5café', 'standard', 4), {'error': 'ratio'}], [('', 'full', 4), {'error': 'ratio'}], [('#1', 'full', 2), {'data': '*/C1*', 'modules': 64}]], [[('$5 \x00', 'full', 2), {'data': '*/D5 %U*', 'modules': 103}], [('', 'full', 2), {'data': '**', 'modules': 25}], [('#1café', 'standard', 4), {'error': 'ratio'}], [(' ', 'full', 1), {'error': 'ratio'}], [('*\x1bcafé', 'full', 2), {'error': 'char', 'char': 'é'}], [('', 'full', 4), {'error': 'ratio'}], [('\x7f#1', 'standard', 4), {'error': 'ratio'}], [('ABPN/7Z-9', 'full', 2), {'data': '*ABPN/O7Z-9*', 'modules': 155}]], [[('AB12', 'standard', 2), {'data': '*AB12*', 'modules': 77}], [('', 'full', 2), {'data': '**', 'modules': 25}], [('#1café', 'full', 2), {'error': 'char', 'char': 'é'}], [(' ABPN/7', 'full', 1), {'error': 'ratio'}], [('qAB', 'standard', 3), {'error': 'char', 'char': 'q'}], [('Z-950%', 'full', 1), {'error': 'ratio'}], [('', 'full', 4), {'error': 'ratio'}], [('*', 'full', 2), {'data': '*/J*', 'modules': 51}]], [[('$5lot', 'full', 3), {'data': '*/D5+L+O+T*', 'modules': 175}], [('a+ba+b', 'full', 3), {'data': '*+A/K+B+A/K+B*', 'modules': 223}], [('AB\x1b', 'standard', 1), {'error': 'ratio'}], [('Z-9$512', 'standard', 4), {'error': 'ratio'}], [('xq', 'standard', 1), {'error': 'ratio'}], [('\x7f$5', 'full', 1), {'error': 'ratio'}], [('\x7f#1', 'full', 4), {'error': 'ratio'}], [(' \t', 'full', 2), {'data': '* $I*', 'modules': 77}]]]
labels = ["regression: start and stop characters", "repair trap", "combined fault", "control", "control", "boundary", "boundary", "control"]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("%s %d" % (labels[i % len(labels)], 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 |
|---|---|---|---|
| regression: start and stop characters 0 | {'data': '*PN/O7PN/O7/D5*', 'modules': 223} | {'data': '*PN/O7PN/O7/D5*', 'modules': 239} | Failed |
| repair trap 1 | {'data': '**', 'modules': 15} | {'data': '**', 'modules': 31} | Failed |
| combined fault 2 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| control 3 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| control 4 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| boundary 5 | {'char': 'a', 'error': 'char'} | {'char': 'a', 'error': 'char'} | Passed |
| boundary 6 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| control 7 | {'data': '*%A*', 'modules': 38} | {'data': '*%A*', 'modules': 51} | Failed |
SHA-256 / 7ea10b5e3042b95f3c4f9400f2d1d2cdb161709a423b1ef3343b3309d7417dc6
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(text, mode, ratio):
std = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ-. $/+%'
if ratio not in (2, 3):
return {'error': 'ratio'}
if mode == 'standard':
for ch in text:
if ch not in std:
return {'error': 'char', 'char': ch}
enc = text
else:
punct = {'$': '/D', '%': '/E', '+': '/K', '/': '/O', '!': '/A', '"': '/B', '#': '/C', '&': '/F', "'": '/G',
'(': '/H', ')': '/I', '*': '/J', ',': '/L', ':': '/Z', ';': '%F', '<': '%G', '=': '%H', '>': '%I',
'?': '%J', '@': '%V', '[': '%K', '\\': '%L', ']': '%M', '^': '%N', '_': '%O', '`': '%W',
'{': '%P', '|': '%Q', '}': '%R', '~': '%S'}
enc = ''
for ch in text:
o = ord(ch)
if o > 127:
return {'error': 'char', 'char': ch}
if ch in punct:
enc += punct[ch]
elif 'a' <= ch <= 'z':
enc += '+' + ch.upper()
elif 1 <= o <= 26:
enc += '$' + chr(o + 64)
elif o == 0:
enc += '%U'
elif 27 <= o <= 31:
enc += '%' + chr(o - 27 + 65)
elif o == 127:
enc += '%T'
else:
enc += ch
count = len(enc) + 2
return {'data': '*' + enc + '*', 'modules': count * (6 + 3 * ratio) + (count - 1)}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[[('PN/7PN/7$5', 'full', 3), {'data': '*PN/O7PN/O7/D5*', 'modules': 239}], [('', 'standard', 3), {'data': '**', 'modules': 31}], [('café', 'standard', 4), {'error': 'ratio'}], [('ABPN/7PN/7', 'full', 1), {'error': 'ratio'}], [('a+ba+b', 'full', 4), {'error': 'ratio'}], [('Z-9a+blot', 'standard', 2), {'error': 'char', 'char': 'a'}], [('café\t', 'full', 4), {'error': 'ratio'}], [('\x1b', 'full', 2), {'data': '*%A*', 'modules': 51}]], [[('\x1blotlot', 'full', 2), {'data': '*%A+L+O+T+L+O+T*', 'modules': 207}], [('\t\x7fq', 'full', 2), {'data': '*$I%T+Q*', 'modules': 103}], [('', 'standard', 1), {'error': 'ratio'}], [('PN/7\x1blot', 'full', 4), {'error': 'ratio'}], [('\x00caféq', 'full', 4), {'error': 'ratio'}], [('q$5café', 'standard', 4), {'error': 'ratio'}], [('', 'full', 4), {'error': 'ratio'}], [('#1', 'full', 2), {'data': '*/C1*', 'modules': 64}]], [[('$5 \x00', 'full', 2), {'data': '*/D5 %U*', 'modules': 103}], [('', 'full', 2), {'data': '**', 'modules': 25}], [('#1café', 'standard', 4), {'error': 'ratio'}], [(' ', 'full', 1), {'error': 'ratio'}], [('*\x1bcafé', 'full', 2), {'error': 'char', 'char': 'é'}], [('', 'full', 4), {'error': 'ratio'}], [('\x7f#1', 'standard', 4), {'error': 'ratio'}], [('ABPN/7Z-9', 'full', 2), {'data': '*ABPN/O7Z-9*', 'modules': 155}]], [[('AB12', 'standard', 2), {'data': '*AB12*', 'modules': 77}], [('', 'full', 2), {'data': '**', 'modules': 25}], [('#1café', 'full', 2), {'error': 'char', 'char': 'é'}], [(' ABPN/7', 'full', 1), {'error': 'ratio'}], [('qAB', 'standard', 3), {'error': 'char', 'char': 'q'}], [('Z-950%', 'full', 1), {'error': 'ratio'}], [('', 'full', 4), {'error': 'ratio'}], [('*', 'full', 2), {'data': '*/J*', 'modules': 51}]], [[('$5lot', 'full', 3), {'data': '*/D5+L+O+T*', 'modules': 175}], [('a+ba+b', 'full', 3), {'data': '*+A/K+B+A/K+B*', 'modules': 223}], [('AB\x1b', 'standard', 1), {'error': 'ratio'}], [('Z-9$512', 'standard', 4), {'error': 'ratio'}], [('xq', 'standard', 1), {'error': 'ratio'}], [('\x7f$5', 'full', 1), {'error': 'ratio'}], [('\x7f#1', 'full', 4), {'error': 'ratio'}], [(' \t', 'full', 2), {'data': '* $I*', 'modules': 77}]]]
labels = ["regression: start and stop characters", "repair trap", "combined fault", "control", "control", "boundary", "boundary", "control"]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("%s %d" % (labels[i % len(labels)], 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 |
|---|---|---|---|
| regression: start and stop characters 0 | {'data': '*PN/O7PN/O7/D5*', 'modules': 239} | {'data': '*PN/O7PN/O7/D5*', 'modules': 239} | Passed |
| repair trap 1 | {'data': '**', 'modules': 31} | {'data': '**', 'modules': 31} | Passed |
| combined fault 2 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| control 3 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| control 4 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| boundary 5 | {'char': 'a', 'error': 'char'} | {'char': 'a', 'error': 'char'} | Passed |
| boundary 6 | {'error': 'ratio'} | {'error': 'ratio'} | Passed |
| control 7 | {'data': '*%A*', 'modules': 51} | {'data': '*%A*', 'modules': 51} | Passed |
SHA-256 / 9ea5552bad53cc89e8de9ca18f860111237388cb5ce2cb9dd9b91e699defdbf1
Verification & scope
A deterministic bounded teaching model with a stipulated contract; it makes no claim of conformance to any published specification. 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 2026-09-29T14:49:44.767508+00:00.
Case digest / e7e03b0429a90c06f2e424a0e7186ff6e9ef078c990b9d71327f1ef3348c7e87