{"abstract":"Homogeneous weights are not normalized.","category":"Planar geometry","checks":4,"contract":"Integer coordinates and lengths, with exact arithmetic except for indicated division results. Lengths are nonnegative. Rectangles are (xmin,ymin,xmax,ymax) with ordered bounds; coordinate vectors have matching dimensions. points are planar integer vectors; weights are matching nonnegative integers with positive total. Return a two-coordinate weighted affine point. Exact operational definition: [sum(p[i]*w for p,w in zip(points,weights))/sum(weights) for i in range(2)]","contract_signature":"points, weights","evaluation_group":"model-37537261db15bfc9","failed_approach":"An unweighted centroid ignores unequal barycentric weights.","family":"xn-barycentric-affine-point","id":"FA-5906","implementations":{"attempt":{"sha256":"d2027b3bc3eb955d1386a83098abbd6464a5ef6f59d7e82c9b4ab697fb0ddf90","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(points, weights):\n    return [sum(p[i] for p in points)/len(points) for i in range(2)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ([(0, 0), (6, 0), (0, 6)], [1, 1, 1])', solve(*([(0, 0), (6, 0), (0, 6)], [1, 1, 1])), [2, 2])\ncheck('fixture 2: ([(0, 0), (6, 0), (0, 6)], [2, 1, 1])', solve(*([(0, 0), (6, 0), (0, 6)], [2, 1, 1])), [1.5, 1.5])\ncheck('fixture 3: ([(1, 2)], [5])', solve(*([(1, 2)], [5])), [1, 2])\ncheck('fixture 4: ([(0, 0), (4, 4)], [1, 3])', solve(*([(0, 0), (4, 4)], [1, 3])), [3, 3])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"80bf2ae94f53e8f65ec07839d2829eaeae0e2e909213178a1c8cb3887bdc523c","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(points, weights):\n    return [sum(p[i]*w for p,w in zip(points,weights)) for i in range(2)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ([(0, 0), (6, 0), (0, 6)], [1, 1, 1])', solve(*([(0, 0), (6, 0), (0, 6)], [1, 1, 1])), [2, 2])\ncheck('fixture 2: ([(0, 0), (6, 0), (0, 6)], [2, 1, 1])', solve(*([(0, 0), (6, 0), (0, 6)], [2, 1, 1])), [1.5, 1.5])\ncheck('fixture 3: ([(1, 2)], [5])', solve(*([(1, 2)], [5])), [1, 2])\ncheck('fixture 4: ([(0, 0), (4, 4)], [1, 3])', solve(*([(0, 0), (4, 4)], [1, 3])), [3, 3])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":" 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.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"xn-barycentric-affine-point","generated_at":"2026-09-29T14:37:55.330138+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Planar geometry results depend on the stated convention.","root_cause":"Homogeneous weights are not normalized.","sha256":"2f8917db3f202b733233846eef095fb2b34f5e647099885f54757c65ec52f54c","title":"Barycentric affine point · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":46.95,"exit_code":1,"observations":[{"actual":[2.0,2.0],"check":"fixture 1: ([(0, 0), (6, 0), (0, 6)], [1, 1, 1])","expected":[2,2],"passed":true},{"actual":[2.0,2.0],"check":"fixture 2: ([(0, 0), (6, 0), (0, 6)], [2, 1, 1])","expected":[1.5,1.5],"passed":false},{"actual":[1.0,2.0],"check":"fixture 3: ([(1, 2)], [5])","expected":[1,2],"passed":true},{"actual":[2.0,2.0],"check":"fixture 4: ([(0, 0), (4, 4)], [1, 3])","expected":[3,3],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ([(0, 0), (6, 0), (0, 6)], [1, 1, 1])\", \"actual\": [2.0, 2.0], \"expected\": [2, 2], \"passed\": true}, {\"check\": \"fixture 2: ([(0, 0), (6, 0), (0, 6)], [2, 1, 1])\", \"actual\": [2.0, 2.0], \"expected\": [1.5, 1.5], \"passed\": false}, {\"check\": \"fixture 3: ([(1, 2)], [5])\", \"actual\": [1.0, 2.0], \"expected\": [1, 2], \"passed\": true}, {\"check\": \"fixture 4: ([(0, 0), (4, 4)], [1, 3])\", \"actual\": [2.0, 2.0], \"expected\": [3, 3], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":43.812,"exit_code":1,"observations":[{"actual":[6,6],"check":"fixture 1: ([(0, 0), (6, 0), (0, 6)], [1, 1, 1])","expected":[2,2],"passed":false},{"actual":[6,6],"check":"fixture 2: ([(0, 0), (6, 0), (0, 6)], [2, 1, 1])","expected":[1.5,1.5],"passed":false},{"actual":[5,10],"check":"fixture 3: ([(1, 2)], [5])","expected":[1,2],"passed":false},{"actual":[12,12],"check":"fixture 4: ([(0, 0), (4, 4)], [1, 3])","expected":[3,3],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ([(0, 0), (6, 0), (0, 6)], [1, 1, 1])\", \"actual\": [6, 6], \"expected\": [2, 2], \"passed\": false}, {\"check\": \"fixture 2: ([(0, 0), (6, 0), (0, 6)], [2, 1, 1])\", \"actual\": [6, 6], \"expected\": [1.5, 1.5], \"passed\": false}, {\"check\": \"fixture 3: ([(1, 2)], [5])\", \"actual\": [5, 10], \"expected\": [1, 2], \"passed\": false}, {\"check\": \"fixture 4: ([(0, 0), (4, 4)], [1, 3])\", \"actual\": [12, 12], \"expected\": [3, 3], \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}