{"abstract":"Motion exactly at the activation threshold is ignored.","category":"Direct manipulation","checks":9,"contract":"Cancelled gestures emit no movement; activate at the maximum absolute-axis threshold; choose dominant magnitude with horizontal tie; lock persists and suppresses cross-axis displacement.","contract_signature":"dx, dy, threshold, locked, cancelled","evaluation_group":"xi-gesture-lock","failed_approach":"Reversing the comparison activates small motion and suppresses large motion.","family":"xi-gesture-lock-threshold-boundary","id":"FA-9066","implementations":{"attempt":{"sha256":"46d813ae4c5b5ee15317870c793081654fb11c376c6f8de848342cb04083e409","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(dx, dy, threshold, locked, cancelled):\n    if cancelled: return (None, 0, 0)\n    if locked is None:\n        if max(abs(dx), abs(dy)) > threshold: return (None, 0, 0)\n        locked = 'x' if abs(dx) >= abs(dy) else 'y'\n    if locked == 'x': return ('x', dx, 0)\n    return ('y', 0, dy)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('cancel', solve(10, 2, 5, 'x', True), (None, 0, 0))\ncheck('negative', solve(-10, 0, 5, None, False), ('x', -10, 0))\ncheck('threshold', solve(5, 0, 5, None, False), ('x', 5, 0))\ncheck('small', solve(2, 1, 5, None, False), (None, 0, 0))\ncheck('dominant negative', solve(-10, 3, 5, None, False), ('x', -10, 0))\ncheck('vertical', solve(2, -10, 5, None, False), ('y', 0, -10))\ncheck('locked', solve(2, 20, 5, \"x\", False), ('x', 2, 0))\ncheck('parameterized gesture distance', solve(2*N,0,N,None,False), ('x',2*N,0))\nfor repetition in range(N):\n    check('repeat locked', solve(2, 20, 5, \"x\", False), ('x', 2, 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":"13e378300a6b518478ec46d08511fd7ab28f3fd30d796d64e2aa4322eecb2f1f","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(dx, dy, threshold, locked, cancelled):\n    if cancelled: return (None, 0, 0)\n    if locked is None:\n        if max(abs(dx), abs(dy)) <= threshold: return (None, 0, 0)\n        locked = 'x' if abs(dx) >= abs(dy) else 'y'\n    if locked == 'x': return ('x', dx, 0)\n    return ('y', 0, dy)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('cancel', solve(10, 2, 5, 'x', True), (None, 0, 0))\ncheck('negative', solve(-10, 0, 5, None, False), ('x', -10, 0))\ncheck('threshold', solve(5, 0, 5, None, False), ('x', 5, 0))\ncheck('small', solve(2, 1, 5, None, False), (None, 0, 0))\ncheck('dominant negative', solve(-10, 3, 5, None, False), ('x', -10, 0))\ncheck('vertical', solve(2, -10, 5, None, False), ('y', 0, -10))\ncheck('locked', solve(2, 20, 5, \"x\", False), ('x', 2, 0))\ncheck('parameterized gesture distance', solve(2*N,0,N,None,False), ('x',2*N,0))\nfor repetition in range(N):\n    check('repeat locked', solve(2, 20, 5, \"x\", False), ('x', 2, 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":"xi-gesture-lock-threshold-boundary","generated_at":"2026-09-29T14:38:26.812641+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"A deterministic model of gesture axis locking and cancellation; this isolates one interface invariant without requiring a browser.","root_cause":"The threshold boundary operation uses `<= threshold` where the contract requires `< threshold`.","sha256":"17df328d8be14eaa4bd67e347ec119be7da99e438701b5ebf06e2a49efa8144a","title":"Gesture axis locking and cancellation: Motion exactly at the activation threshold is ignored · 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":38.563,"exit_code":1,"observations":[{"actual":[null,0,0],"check":"cancel","expected":[null,0,0],"passed":true},{"actual":[null,0,0],"check":"negative","expected":["x",-10,0],"passed":false},{"actual":["x",5,0],"check":"threshold","expected":["x",5,0],"passed":true},{"actual":["x",2,0],"check":"small","expected":[null,0,0],"passed":false},{"actual":[null,0,0],"check":"dominant negative","expected":["x",-10,0],"passed":false},{"actual":[null,0,0],"check":"vertical","expected":["y",0,-10],"passed":false},{"actual":["x",2,0],"check":"locked","expected":["x",2,0],"passed":true},{"actual":[null,0,0],"check":"parameterized gesture distance","expected":["x",2,0],"passed":false},{"actual":["x",2,0],"check":"repeat locked","expected":["x",2,0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"cancel\", \"actual\": [null, 0, 0], \"expected\": [null, 0, 0], \"passed\": true}, {\"check\": \"negative\", \"actual\": [null, 0, 0], \"expected\": [\"x\", -10, 0], \"passed\": false}, {\"check\": \"threshold\", \"actual\": [\"x\", 5, 0], \"expected\": [\"x\", 5, 0], \"passed\": true}, {\"check\": \"small\", \"actual\": [\"x\", 2, 0], \"expected\": [null, 0, 0], \"passed\": false}, {\"check\": \"dominant negative\", \"actual\": [null, 0, 0], \"expected\": [\"x\", -10, 0], \"passed\": false}, {\"check\": \"vertical\", \"actual\": [null, 0, 0], \"expected\": [\"y\", 0, -10], \"passed\": false}, {\"check\": \"locked\", \"actual\": [\"x\", 2, 0], \"expected\": [\"x\", 2, 0], \"passed\": true}, {\"check\": \"parameterized gesture distance\", \"actual\": [null, 0, 0], \"expected\": [\"x\", 2, 0], \"passed\": false}, {\"check\": \"repeat locked\", \"actual\": [\"x\", 2, 0], \"expected\": [\"x\", 2, 0], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":37.669,"exit_code":1,"observations":[{"actual":[null,0,0],"check":"cancel","expected":[null,0,0],"passed":true},{"actual":["x",-10,0],"check":"negative","expected":["x",-10,0],"passed":true},{"actual":[null,0,0],"check":"threshold","expected":["x",5,0],"passed":false},{"actual":[null,0,0],"check":"small","expected":[null,0,0],"passed":true},{"actual":["x",-10,0],"check":"dominant negative","expected":["x",-10,0],"passed":true},{"actual":["y",0,-10],"check":"vertical","expected":["y",0,-10],"passed":true},{"actual":["x",2,0],"check":"locked","expected":["x",2,0],"passed":true},{"actual":["x",2,0],"check":"parameterized gesture distance","expected":["x",2,0],"passed":true},{"actual":["x",2,0],"check":"repeat locked","expected":["x",2,0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"cancel\", \"actual\": [null, 0, 0], \"expected\": [null, 0, 0], \"passed\": true}, {\"check\": \"negative\", \"actual\": [\"x\", -10, 0], \"expected\": [\"x\", -10, 0], \"passed\": true}, {\"check\": \"threshold\", \"actual\": [null, 0, 0], \"expected\": [\"x\", 5, 0], \"passed\": false}, {\"check\": \"small\", \"actual\": [null, 0, 0], \"expected\": [null, 0, 0], \"passed\": true}, {\"check\": \"dominant negative\", \"actual\": [\"x\", -10, 0], \"expected\": [\"x\", -10, 0], \"passed\": true}, {\"check\": \"vertical\", \"actual\": [\"y\", 0, -10], \"expected\": [\"y\", 0, -10], \"passed\": true}, {\"check\": \"locked\", \"actual\": [\"x\", 2, 0], \"expected\": [\"x\", 2, 0], \"passed\": true}, {\"check\": \"parameterized gesture distance\", \"actual\": [\"x\", 2, 0], \"expected\": [\"x\", 2, 0], \"passed\": true}, {\"check\": \"repeat locked\", \"actual\": [\"x\", 2, 0], \"expected\": [\"x\", 2, 0], \"passed\": true}], \"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."}}