{"abstract":"The rotation sign implements a counterclockwise turn.","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. Clockwise quarter turn. Exact operational definition: (point[1],-point[0])","evaluation_group":"model-b15d85ad62d21797","failed_approach":"Swapping axes reflects the point without the required sign change.","family":"xn-clockwise-quarter-turn","id":"FA-5846","implementations":{"attempt":{"sha256":"f76b322ad582a7e73bf36a3ec42d11f94d30469f1b1ce69ce91c468878e19109","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(point):\n    return (point[1],point[0])\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ((2, 3),)', solve(*((2, 3),)), (3, -2))\ncheck('fixture 2: ((0, 1),)', solve(*((0, 1),)), (1, 0))\ncheck('fixture 3: ((-2, 0),)', solve(*((-2, 0),)), (0, 2))\ncheck('fixture 4: ((0, 0),)', solve(*((0, 0),)), (0, 0))\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":"0265c2ee34465fb43d7e9acafd4e3d61e1338aa9fa580b51068c2eeeeffaf0ab","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(point):\n    return (-point[1],point[0])\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ((2, 3),)', solve(*((2, 3),)), (3, -2))\ncheck('fixture 2: ((0, 1),)', solve(*((0, 1),)), (1, 0))\ncheck('fixture 3: ((-2, 0),)', solve(*((-2, 0),)), (0, 2))\ncheck('fixture 4: ((0, 0),)', solve(*((0, 0),)), (0, 0))\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"},"fixed":{"sha256":"c0d9864f6186439f3ef1c5736a02802762c7c2388923491bbaf5ffd1598ff64f","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(point):\n    return (point[1],-point[0])\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ((2, 3),)', solve(*((2, 3),)), (3, -2))\ncheck('fixture 2: ((0, 1),)', solve(*((0, 1),)), (1, 0))\ncheck('fixture 3: ((-2, 0),)', solve(*((-2, 0),)), (0, 2))\ncheck('fixture 4: ((0, 0),)', solve(*((0, 0),)), (0, 0))\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-clockwise-quarter-turn","generated_at":"2026-09-29T14:37:54.429740+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.","repair":"Apply the specified mathematical contract directly, preserving all terms and boundary cases: return (point[1],-point[0])","root_cause":"The rotation sign implements a counterclockwise turn.","sha256":"4184ea027986327ea0995494f3c68670291bfc3036c5e4ab920b4551524292ba","title":"Clockwise quarter turn · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":47.075,"exit_code":1,"observations":[{"actual":[3,2],"check":"fixture 1: ((2, 3),)","expected":[3,-2],"passed":false},{"actual":[1,0],"check":"fixture 2: ((0, 1),)","expected":[1,0],"passed":true},{"actual":[0,-2],"check":"fixture 3: ((-2, 0),)","expected":[0,2],"passed":false},{"actual":[0,0],"check":"fixture 4: ((0, 0),)","expected":[0,0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ((2, 3),)\", \"actual\": [3, 2], \"expected\": [3, -2], \"passed\": false}, {\"check\": \"fixture 2: ((0, 1),)\", \"actual\": [1, 0], \"expected\": [1, 0], \"passed\": true}, {\"check\": \"fixture 3: ((-2, 0),)\", \"actual\": [0, -2], \"expected\": [0, 2], \"passed\": false}, {\"check\": \"fixture 4: ((0, 0),)\", \"actual\": [0, 0], \"expected\": [0, 0], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":48.845,"exit_code":1,"observations":[{"actual":[-3,2],"check":"fixture 1: ((2, 3),)","expected":[3,-2],"passed":false},{"actual":[-1,0],"check":"fixture 2: ((0, 1),)","expected":[1,0],"passed":false},{"actual":[0,-2],"check":"fixture 3: ((-2, 0),)","expected":[0,2],"passed":false},{"actual":[0,0],"check":"fixture 4: ((0, 0),)","expected":[0,0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ((2, 3),)\", \"actual\": [-3, 2], \"expected\": [3, -2], \"passed\": false}, {\"check\": \"fixture 2: ((0, 1),)\", \"actual\": [-1, 0], \"expected\": [1, 0], \"passed\": false}, {\"check\": \"fixture 3: ((-2, 0),)\", \"actual\": [0, -2], \"expected\": [0, 2], \"passed\": false}, {\"check\": \"fixture 4: ((0, 0),)\", \"actual\": [0, 0], \"expected\": [0, 0], \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":51.353,"exit_code":0,"observations":[{"actual":[3,-2],"check":"fixture 1: ((2, 3),)","expected":[3,-2],"passed":true},{"actual":[1,0],"check":"fixture 2: ((0, 1),)","expected":[1,0],"passed":true},{"actual":[0,2],"check":"fixture 3: ((-2, 0),)","expected":[0,2],"passed":true},{"actual":[0,0],"check":"fixture 4: ((0, 0),)","expected":[0,0],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ((2, 3),)\", \"actual\": [3, -2], \"expected\": [3, -2], \"passed\": true}, {\"check\": \"fixture 2: ((0, 1),)\", \"actual\": [1, 0], \"expected\": [1, 0], \"passed\": true}, {\"check\": \"fixture 3: ((-2, 0),)\", \"actual\": [0, 2], \"expected\": [0, 2], \"passed\": true}, {\"check\": \"fixture 4: ((0, 0),)\", \"actual\": [0, 0], \"expected\": [0, 0], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}