{"abstract":"The reflection axis is forced to x equals zero.","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. Reflection across vertical line. Exact operational definition: (2*x-point[0],point[1])","evaluation_group":"model-11ee01c33f1ea899","failed_approach":"A single axis offset does not keep points on the mirror fixed.","family":"xn-reflection-across-vertical-line","id":"FA-5861","implementations":{"attempt":{"sha256":"d39558480081adf48b23c24175bcf49702333c7bffe705c056e031772288b773","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, x):\n    return (x-point[0],point[1])\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ((2, 3), 1)', solve(*((2, 3), 1)), (0, 3))\ncheck('fixture 2: ((0, 0), 2)', solve(*((0, 0), 2)), (4, 0))\ncheck('fixture 3: ((4, 1), 4)', solve(*((4, 1), 4)), (4, 1))\ncheck('fixture 4: ((-3, -2), -1)', solve(*((-3, -2), -1)), (1, -2))\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":"82e53d563b50a102bcb2abe55fa7dddc73bfac046a05a71ae1cf2e3e56785339","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, x):\n    return (-point[0],point[1])\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ((2, 3), 1)', solve(*((2, 3), 1)), (0, 3))\ncheck('fixture 2: ((0, 0), 2)', solve(*((0, 0), 2)), (4, 0))\ncheck('fixture 3: ((4, 1), 4)', solve(*((4, 1), 4)), (4, 1))\ncheck('fixture 4: ((-3, -2), -1)', solve(*((-3, -2), -1)), (1, -2))\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":"cbb08fa1057c55ac7d7565992b2bd2b2692a3b13b96638eaa53dd571bdc7d60e","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, x):\n    return (2*x-point[0],point[1])\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ((2, 3), 1)', solve(*((2, 3), 1)), (0, 3))\ncheck('fixture 2: ((0, 0), 2)', solve(*((0, 0), 2)), (4, 0))\ncheck('fixture 3: ((4, 1), 4)', solve(*((4, 1), 4)), (4, 1))\ncheck('fixture 4: ((-3, -2), -1)', solve(*((-3, -2), -1)), (1, -2))\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-reflection-across-vertical-line","generated_at":"2026-09-29T14:37:54.502291+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 (2*x-point[0],point[1])","root_cause":"The reflection axis is forced to x equals zero.","sha256":"59851a9c3d5ea916de4e0dbaedea49a827e27d79b99d642be77b9977ba027f4b","title":"Reflection across vertical line · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":50.941,"exit_code":1,"observations":[{"actual":[-1,3],"check":"fixture 1: ((2, 3), 1)","expected":[0,3],"passed":false},{"actual":[2,0],"check":"fixture 2: ((0, 0), 2)","expected":[4,0],"passed":false},{"actual":[0,1],"check":"fixture 3: ((4, 1), 4)","expected":[4,1],"passed":false},{"actual":[2,-2],"check":"fixture 4: ((-3, -2), -1)","expected":[1,-2],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ((2, 3), 1)\", \"actual\": [-1, 3], \"expected\": [0, 3], \"passed\": false}, {\"check\": \"fixture 2: ((0, 0), 2)\", \"actual\": [2, 0], \"expected\": [4, 0], \"passed\": false}, {\"check\": \"fixture 3: ((4, 1), 4)\", \"actual\": [0, 1], \"expected\": [4, 1], \"passed\": false}, {\"check\": \"fixture 4: ((-3, -2), -1)\", \"actual\": [2, -2], \"expected\": [1, -2], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":49.082,"exit_code":1,"observations":[{"actual":[-2,3],"check":"fixture 1: ((2, 3), 1)","expected":[0,3],"passed":false},{"actual":[0,0],"check":"fixture 2: ((0, 0), 2)","expected":[4,0],"passed":false},{"actual":[-4,1],"check":"fixture 3: ((4, 1), 4)","expected":[4,1],"passed":false},{"actual":[3,-2],"check":"fixture 4: ((-3, -2), -1)","expected":[1,-2],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ((2, 3), 1)\", \"actual\": [-2, 3], \"expected\": [0, 3], \"passed\": false}, {\"check\": \"fixture 2: ((0, 0), 2)\", \"actual\": [0, 0], \"expected\": [4, 0], \"passed\": false}, {\"check\": \"fixture 3: ((4, 1), 4)\", \"actual\": [-4, 1], \"expected\": [4, 1], \"passed\": false}, {\"check\": \"fixture 4: ((-3, -2), -1)\", \"actual\": [3, -2], \"expected\": [1, -2], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":51.411,"exit_code":0,"observations":[{"actual":[0,3],"check":"fixture 1: ((2, 3), 1)","expected":[0,3],"passed":true},{"actual":[4,0],"check":"fixture 2: ((0, 0), 2)","expected":[4,0],"passed":true},{"actual":[4,1],"check":"fixture 3: ((4, 1), 4)","expected":[4,1],"passed":true},{"actual":[1,-2],"check":"fixture 4: ((-3, -2), -1)","expected":[1,-2],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ((2, 3), 1)\", \"actual\": [0, 3], \"expected\": [0, 3], \"passed\": true}, {\"check\": \"fixture 2: ((0, 0), 2)\", \"actual\": [4, 0], \"expected\": [4, 0], \"passed\": true}, {\"check\": \"fixture 3: ((4, 1), 4)\", \"actual\": [4, 1], \"expected\": [4, 1], \"passed\": true}, {\"check\": \"fixture 4: ((-3, -2), -1)\", \"actual\": [1, -2], \"expected\": [1, -2], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}