{"abstract":"Proxies moving left escape their fat box immediately and churn the tree.","category":"Collision detection broadphase","checks":8,"contract":"solve(tight, fat, disp, margin, mult): dynamic-tree proxy update. If the stored fat box contains the new tight box (inclusive) and its area is at most 4x that of a freshly built fat box, keep it: [False, fat]. Otherwise rebuild: tight expanded by margin on all sides, then extended by mult*disp on the side the motion points to; return [True, rebuilt box rounded to 6].","evaluation_group":"w2-collision_detection_broadphase-fat-aabb-reinsert","failed_approach":"Subtracting a negative displacement from minx shrinks the box instead of extending it.","family":"w2-collision_detection_broadphase-fat-aabb-reinsert-negative-motion-extension","id":"FA-87396","implementations":{"attempt":{"sha256":"e005376f24d281674960a4af763408aa32846aee4171bc2a986ccb213c823bce","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(tight, fat, disp, margin, mult):\n    def fatten():\n        f = [tight[0] - margin, tight[1] - margin, tight[2] + margin, tight[3] + margin]\n        dx, dy = mult * disp[0], mult * disp[1]\n        if dx < 0:\n            f[0] -= dx\n        else:\n            f[2] += dx\n        if dy < 0:\n            f[1] += dy\n        else:\n            f[3] += dy\n        return [round(c, 6) for c in f]\n    def area(b):\n        return (b[2] - b[0]) * (b[3] - b[1])\n    inside = fat[0] <= tight[0] and fat[1] <= tight[1] and tight[2] <= fat[2] and tight[3] <= fat[3]\n    fresh = fatten()\n    if inside and area(fat) <= 4 * area(fresh):\n        return [False, fat]\n    return [True, fresh]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[[[[-2.7, -2.8, -1.6, -1.1], [-4.9, -3.5, -2.2, -1.2], [1.0, 0.5], 0.2, 1.0], [True, [-2.9, -3.0, -0.4, -0.4]]], [[[1.9, 0.0, 3.6, 1.9], [-2.1, -4.0, 7.6, 5.9], [-0.1, 0.2], 0.1, 1.0], [True, [1.7, -0.1, 3.7, 2.2]]], [[[-1.8, -1.2, -0.2, 0.7], [-1.3, -1.3, 0.6, 0.8], [-0.6, 0], 0.1, 1.0], [True, [-2.5, -1.3, -0.1, 0.8]]], [[[-3.4, 2.2, -0.7, 2.8], [-6.3, -0.8, 2.4, 3.8], [-0.1, 0], 0.5, 4.0], [True, [-4.3, 1.7, -0.2, 3.3]]], [[[-4.0, 2.9, -2.1, 3.2], [-4.3, 2.6, -1.8, 3.5], [0, 0], 0.1, 1.0], [False, [-4.3, 2.6, -1.8, 3.5]]], [[[-1.3, 4.3, 0.2, 5.2], [-1.9, 2.5, 0.8, 5.8], [-0.1, 0], 0.1, 1.0], [True, [-1.5, 4.2, 0.3, 5.3]]], [[[-1.7, -2.8, -0.8, -1.1], [-1.8, -4.0, -0.3, -0.7], [-0.1, 0], 0.2, 4.0], [False, [-1.8, -4.0, -0.3, -0.7]]], [[[-0.2, 0.4, 0.5, 0.8], [-1.2, -0.1, 1.5, 1.8], [-0.1, 0.2], 0.1, 1.0], [True, [-0.4, 0.3, 0.6, 1.1]]]], [[[[-3.6, 4.9, -0.8, 7.8], [-4.0, 3.6, 0.4, 7.9], [0, 0.1], 0.2, 1.0], [False, [-4.0, 3.6, 0.4, 7.9]]], [[[-5.3, 1.1, -3.8, 2.4], [-4.9, 0.9, -3.0, 3.0], [-0.6, 0], 0.1, 2.0], [True, [-6.6, 1.0, -3.7, 2.5]]], [[[2.6, -0.5, 4.4, 1.4], [3.0, -1.7, 5.2, 2.6], [-0.6, 0], 0.2, 4.0], [True, [0.0, -0.7, 4.6, 1.6]]], [[[-4.1, 1.1, -3.3, 2.1], [-7.0, 1.6, -2.2, 6.1], [-0.1, -1.0], 0.5, 1.0], [True, [-4.7, -0.4, -2.8, 2.6]]], [[[2.1, 1.6, 2.8, 3.0], [1.5, -0.2, 3.4, 3.6], [0, 0], 0.1, 1.0], [True, [2.0, 1.5, 2.9, 3.1]]], [[[2.0, 3.8, 2.9, 5.5], [1.8, 3.2, 3.4, 5.7], [0.1, 0], 0.1, 1.0], [False, [1.8, 3.2, 3.4, 5.7]]], [[[2.9, 0.7, 5.9, 3.4], [3.3, 0.4, 6.7, 3.7], [-0.6, 0.1], 0.2, 2.0], [True, [1.5, 0.5, 6.1, 3.8]]], [[[3.1, -3.4, 3.7, -2.5], [3.5, -4.1, 4.5, -2.0], [-0.6, 0.1], 0.1, 1.0], [True, [2.4, -3.5, 3.8, -2.3]]]], [[[[-5.0, 2.9, -4.0, 3.6], [-5.3, 2.0, -3.7, 3.9], [0, 0], 0.2, 1.0], [False, [-5.3, 2.0, -3.7, 3.9]]], [[[1.1, 2.3, 3.5, 5.1], [1.1, 2.7, 4.2, 6.7], [-0.6, -1.0], 0.1, 4.0], [True, [-1.4, -1.8, 3.6, 5.2]]], [[[2.4, 1.8, 3.0, 3.7], [1.8, 0.8, 4.8, 4.1], [-0.6, -0.2], 0.2, 2.0], [False, [1.8, 0.8, 4.8, 4.1]]], [[[-1.1, -4.2, 0.4, -2.3], [-1.7, -6.0, 1.0, -1.7], [0, 0.2], 0.2, 1.0], [False, [-1.7, -6.0, 1.0, -1.7]]], [[[-1.1, -0.2, -0.3, 1.7], [-3.5, -3.7, 1.3, 1.7], [-0.6, 0.5], 0.5, 1.0], [False, [-3.5, -3.7, 1.3, 1.7]]], [[[2.5, 2.5, 4.3, 3.2], [2.9, 1.9, 5.1, 3.8], [-0.6, 0], 0.1, 4.0], [True, [0.0, 2.4, 4.4, 3.3]]], [[[-2.7, -2.3, -1.0, -0.7], [-3.7, -3.3, -0.0, 0.3], [0, 0], 0.2, 1.0], [False, [-3.7, -3.3, -0.0, 0.3]]], [[[-4.3, -1.2, -2.9, -0.1], [-4.3, -1.6, -1.7, 0.2], [-0.6, -0.2], 0.1, 2.0], [False, [-4.3, -1.6, -1.7, 0.2]]]], [[[[-2.1, -5.0, 0.3, -2.4], [-1.7, -4.2, 1.1, -1.2], [-0.6, -1.0], 0.2, 2.0], [True, [-3.5, -7.2, 0.5, -2.2]]], [[[-0.4, 3.7, 2.0, 5.4], [-0.8, 2.9, 5.6, 6.1], [-0.6, -0.2], 0.5, 4.0], [False, [-0.8, 2.9, 5.6, 6.1]]], [[[-4.4, -0.8, -3.4, 0.6], [-7.3, -4.3, -0.3, 3.1], [-0.1, 0.5], 0.5, 4.0], [True, [-5.3, -1.3, -2.9, 3.1]]], [[[-2.1, 2.7, -0.9, 4.6], [-3.1, -0.3, 0.1, 5.6], [0.1, 0], 0.1, 1.0], [True, [-2.2, 2.6, -0.7, 4.7]]], [[[-0.6, -4.6, 1.1, -3.7], [-1.5, -4.1, 1.2, -1.7], [0.4, -1.0], 0.5, 1.0], [True, [-1.1, -6.1, 2.0, -3.2]]], [[[2.7, 0.6, 3.1, 2.2], [-1.3, -1.4, 7.1, 6.2], [0, 0], 0.1, 1.0], [True, [2.6, 0.5, 3.2, 2.3]]], [[[-4.7, 1.6, -3.6, 3.6], [-4.6, 1.1, -2.0, 4.6], [-0.6, 0], 0.5, 1.0], [True, [-5.8, 1.1, -3.1, 4.1]]], [[[-0.9, -2.7, 0.9, -2.0], [-3.8, -3.7, 2.0, 1.0], [-0.1, 0], 0.5, 4.0], [True, [-1.8, -3.2, 1.4, -1.5]]]], [[[[3.7, 1.3, 6.2, 4.0], [3.4, 1.3, 6.5, 4.6], [-0.1, -0.2], 0.2, 1.0], [False, [3.4, 1.3, 6.5, 4.6]]], [[[-4.3, 4.5, -2.1, 5.9], [-5.6, 3.3, -1.8, 7.1], [0.1, 0], 0.2, 1.0], [False, [-5.6, 3.3, -1.8, 7.1]]], [[[2.3, 1.4, 3.5, 2.3], [0.3, -0.6, 5.5, 4.3], [0.1, 0], 0.2, 1.0], [True, [2.1, 1.2, 3.8, 2.5]]], [[[-4.6, -2.3, -3.4, 0.4], [-5.1, -3.5, -2.3, 0.8], [0.1, 0], 0.2, 1.0], [False, [-5.1, -3.5, -2.3, 0.8]]], [[[3.0, 3.8, 4.7, 5.0], [3.2, 2.6, 5.7, 6.2], [-0.6, 0], 0.2, 2.0], [True, [1.6, 3.6, 4.9, 5.2]]], [[[0.7, 2.5, 2.0, 3.2], [-0.3, 2.0, 3.0, 4.2], [-0.1, 0.2], 0.1, 1.0], [True, [0.5, 2.4, 2.1, 3.5]]], [[[-5.5, 2.6, -4.1, 5.4], [-5.1, 2.4, -3.3, 5.4], [-0.6, 0.1], 0.1, 1.0], [True, [-6.2, 2.5, -4.0, 5.6]]], [[[-4.0, 1.4, -2.1, 2.9], [-5.1, 0.7, -1.8, 2.6], [-0.1, 0.5], 0.2, 4.0], [True, [-4.6, 1.2, -1.9, 5.1]]]]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"case %d\" % i, solve(*args), expected)\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":"1b14899017d9ca789fd7ba6bb197c59677bb65560145d6c8a960b8716de1ab93","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(tight, fat, disp, margin, mult):\n    def fatten():\n        f = [tight[0] - margin, tight[1] - margin, tight[2] + margin, tight[3] + margin]\n        dx, dy = mult * disp[0], mult * disp[1]\n        f[2] += dx\n        if dy < 0:\n            f[1] += dy\n        else:\n            f[3] += dy\n        return [round(c, 6) for c in f]\n    def area(b):\n        return (b[2] - b[0]) * (b[3] - b[1])\n    inside = fat[0] <= tight[0] and fat[1] <= tight[1] and tight[2] <= fat[2] and tight[3] <= fat[3]\n    fresh = fatten()\n    if inside and area(fat) <= 4 * area(fresh):\n        return [False, fat]\n    return [True, fresh]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[[[[-2.7, -2.8, -1.6, -1.1], [-4.9, -3.5, -2.2, -1.2], [1.0, 0.5], 0.2, 1.0], [True, [-2.9, -3.0, -0.4, -0.4]]], [[[1.9, 0.0, 3.6, 1.9], [-2.1, -4.0, 7.6, 5.9], [-0.1, 0.2], 0.1, 1.0], [True, [1.7, -0.1, 3.7, 2.2]]], [[[-1.8, -1.2, -0.2, 0.7], [-1.3, -1.3, 0.6, 0.8], [-0.6, 0], 0.1, 1.0], [True, [-2.5, -1.3, -0.1, 0.8]]], [[[-3.4, 2.2, -0.7, 2.8], [-6.3, -0.8, 2.4, 3.8], [-0.1, 0], 0.5, 4.0], [True, [-4.3, 1.7, -0.2, 3.3]]], [[[-4.0, 2.9, -2.1, 3.2], [-4.3, 2.6, -1.8, 3.5], [0, 0], 0.1, 1.0], [False, [-4.3, 2.6, -1.8, 3.5]]], [[[-1.3, 4.3, 0.2, 5.2], [-1.9, 2.5, 0.8, 5.8], [-0.1, 0], 0.1, 1.0], [True, [-1.5, 4.2, 0.3, 5.3]]], [[[-1.7, -2.8, -0.8, -1.1], [-1.8, -4.0, -0.3, -0.7], [-0.1, 0], 0.2, 4.0], [False, [-1.8, -4.0, -0.3, -0.7]]], [[[-0.2, 0.4, 0.5, 0.8], [-1.2, -0.1, 1.5, 1.8], [-0.1, 0.2], 0.1, 1.0], [True, [-0.4, 0.3, 0.6, 1.1]]]], [[[[-3.6, 4.9, -0.8, 7.8], [-4.0, 3.6, 0.4, 7.9], [0, 0.1], 0.2, 1.0], [False, [-4.0, 3.6, 0.4, 7.9]]], [[[-5.3, 1.1, -3.8, 2.4], [-4.9, 0.9, -3.0, 3.0], [-0.6, 0], 0.1, 2.0], [True, [-6.6, 1.0, -3.7, 2.5]]], [[[2.6, -0.5, 4.4, 1.4], [3.0, -1.7, 5.2, 2.6], [-0.6, 0], 0.2, 4.0], [True, [0.0, -0.7, 4.6, 1.6]]], [[[-4.1, 1.1, -3.3, 2.1], [-7.0, 1.6, -2.2, 6.1], [-0.1, -1.0], 0.5, 1.0], [True, [-4.7, -0.4, -2.8, 2.6]]], [[[2.1, 1.6, 2.8, 3.0], [1.5, -0.2, 3.4, 3.6], [0, 0], 0.1, 1.0], [True, [2.0, 1.5, 2.9, 3.1]]], [[[2.0, 3.8, 2.9, 5.5], [1.8, 3.2, 3.4, 5.7], [0.1, 0], 0.1, 1.0], [False, [1.8, 3.2, 3.4, 5.7]]], [[[2.9, 0.7, 5.9, 3.4], [3.3, 0.4, 6.7, 3.7], [-0.6, 0.1], 0.2, 2.0], [True, [1.5, 0.5, 6.1, 3.8]]], [[[3.1, -3.4, 3.7, -2.5], [3.5, -4.1, 4.5, -2.0], [-0.6, 0.1], 0.1, 1.0], [True, [2.4, -3.5, 3.8, -2.3]]]], [[[[-5.0, 2.9, -4.0, 3.6], [-5.3, 2.0, -3.7, 3.9], [0, 0], 0.2, 1.0], [False, [-5.3, 2.0, -3.7, 3.9]]], [[[1.1, 2.3, 3.5, 5.1], [1.1, 2.7, 4.2, 6.7], [-0.6, -1.0], 0.1, 4.0], [True, [-1.4, -1.8, 3.6, 5.2]]], [[[2.4, 1.8, 3.0, 3.7], [1.8, 0.8, 4.8, 4.1], [-0.6, -0.2], 0.2, 2.0], [False, [1.8, 0.8, 4.8, 4.1]]], [[[-1.1, -4.2, 0.4, -2.3], [-1.7, -6.0, 1.0, -1.7], [0, 0.2], 0.2, 1.0], [False, [-1.7, -6.0, 1.0, -1.7]]], [[[-1.1, -0.2, -0.3, 1.7], [-3.5, -3.7, 1.3, 1.7], [-0.6, 0.5], 0.5, 1.0], [False, [-3.5, -3.7, 1.3, 1.7]]], [[[2.5, 2.5, 4.3, 3.2], [2.9, 1.9, 5.1, 3.8], [-0.6, 0], 0.1, 4.0], [True, [0.0, 2.4, 4.4, 3.3]]], [[[-2.7, -2.3, -1.0, -0.7], [-3.7, -3.3, -0.0, 0.3], [0, 0], 0.2, 1.0], [False, [-3.7, -3.3, -0.0, 0.3]]], [[[-4.3, -1.2, -2.9, -0.1], [-4.3, -1.6, -1.7, 0.2], [-0.6, -0.2], 0.1, 2.0], [False, [-4.3, -1.6, -1.7, 0.2]]]], [[[[-2.1, -5.0, 0.3, -2.4], [-1.7, -4.2, 1.1, -1.2], [-0.6, -1.0], 0.2, 2.0], [True, [-3.5, -7.2, 0.5, -2.2]]], [[[-0.4, 3.7, 2.0, 5.4], [-0.8, 2.9, 5.6, 6.1], [-0.6, -0.2], 0.5, 4.0], [False, [-0.8, 2.9, 5.6, 6.1]]], [[[-4.4, -0.8, -3.4, 0.6], [-7.3, -4.3, -0.3, 3.1], [-0.1, 0.5], 0.5, 4.0], [True, [-5.3, -1.3, -2.9, 3.1]]], [[[-2.1, 2.7, -0.9, 4.6], [-3.1, -0.3, 0.1, 5.6], [0.1, 0], 0.1, 1.0], [True, [-2.2, 2.6, -0.7, 4.7]]], [[[-0.6, -4.6, 1.1, -3.7], [-1.5, -4.1, 1.2, -1.7], [0.4, -1.0], 0.5, 1.0], [True, [-1.1, -6.1, 2.0, -3.2]]], [[[2.7, 0.6, 3.1, 2.2], [-1.3, -1.4, 7.1, 6.2], [0, 0], 0.1, 1.0], [True, [2.6, 0.5, 3.2, 2.3]]], [[[-4.7, 1.6, -3.6, 3.6], [-4.6, 1.1, -2.0, 4.6], [-0.6, 0], 0.5, 1.0], [True, [-5.8, 1.1, -3.1, 4.1]]], [[[-0.9, -2.7, 0.9, -2.0], [-3.8, -3.7, 2.0, 1.0], [-0.1, 0], 0.5, 4.0], [True, [-1.8, -3.2, 1.4, -1.5]]]], [[[[3.7, 1.3, 6.2, 4.0], [3.4, 1.3, 6.5, 4.6], [-0.1, -0.2], 0.2, 1.0], [False, [3.4, 1.3, 6.5, 4.6]]], [[[-4.3, 4.5, -2.1, 5.9], [-5.6, 3.3, -1.8, 7.1], [0.1, 0], 0.2, 1.0], [False, [-5.6, 3.3, -1.8, 7.1]]], [[[2.3, 1.4, 3.5, 2.3], [0.3, -0.6, 5.5, 4.3], [0.1, 0], 0.2, 1.0], [True, [2.1, 1.2, 3.8, 2.5]]], [[[-4.6, -2.3, -3.4, 0.4], [-5.1, -3.5, -2.3, 0.8], [0.1, 0], 0.2, 1.0], [False, [-5.1, -3.5, -2.3, 0.8]]], [[[3.0, 3.8, 4.7, 5.0], [3.2, 2.6, 5.7, 6.2], [-0.6, 0], 0.2, 2.0], [True, [1.6, 3.6, 4.9, 5.2]]], [[[0.7, 2.5, 2.0, 3.2], [-0.3, 2.0, 3.0, 4.2], [-0.1, 0.2], 0.1, 1.0], [True, [0.5, 2.4, 2.1, 3.5]]], [[[-5.5, 2.6, -4.1, 5.4], [-5.1, 2.4, -3.3, 5.4], [-0.6, 0.1], 0.1, 1.0], [True, [-6.2, 2.5, -4.0, 5.6]]], [[[-4.0, 1.4, -2.1, 2.9], [-5.1, 0.7, -1.8, 2.6], [-0.1, 0.5], 0.2, 4.0], [True, [-4.6, 1.2, -1.9, 5.1]]]]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"case %d\" % i, solve(*args), expected)\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":"7c8b8d9ebbc5b6346345e486067158b6552ebc73520376fec410030043dfe019","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(tight, fat, disp, margin, mult):\n    def fatten():\n        f = [tight[0] - margin, tight[1] - margin, tight[2] + margin, tight[3] + margin]\n        dx, dy = mult * disp[0], mult * disp[1]\n        if dx < 0:\n            f[0] += dx\n        else:\n            f[2] += dx\n        if dy < 0:\n            f[1] += dy\n        else:\n            f[3] += dy\n        return [round(c, 6) for c in f]\n    def area(b):\n        return (b[2] - b[0]) * (b[3] - b[1])\n    inside = fat[0] <= tight[0] and fat[1] <= tight[1] and tight[2] <= fat[2] and tight[3] <= fat[3]\n    fresh = fatten()\n    if inside and area(fat) <= 4 * area(fresh):\n        return [False, fat]\n    return [True, fresh]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[[[[-2.7, -2.8, -1.6, -1.1], [-4.9, -3.5, -2.2, -1.2], [1.0, 0.5], 0.2, 1.0], [True, [-2.9, -3.0, -0.4, -0.4]]], [[[1.9, 0.0, 3.6, 1.9], [-2.1, -4.0, 7.6, 5.9], [-0.1, 0.2], 0.1, 1.0], [True, [1.7, -0.1, 3.7, 2.2]]], [[[-1.8, -1.2, -0.2, 0.7], [-1.3, -1.3, 0.6, 0.8], [-0.6, 0], 0.1, 1.0], [True, [-2.5, -1.3, -0.1, 0.8]]], [[[-3.4, 2.2, -0.7, 2.8], [-6.3, -0.8, 2.4, 3.8], [-0.1, 0], 0.5, 4.0], [True, [-4.3, 1.7, -0.2, 3.3]]], [[[-4.0, 2.9, -2.1, 3.2], [-4.3, 2.6, -1.8, 3.5], [0, 0], 0.1, 1.0], [False, [-4.3, 2.6, -1.8, 3.5]]], [[[-1.3, 4.3, 0.2, 5.2], [-1.9, 2.5, 0.8, 5.8], [-0.1, 0], 0.1, 1.0], [True, [-1.5, 4.2, 0.3, 5.3]]], [[[-1.7, -2.8, -0.8, -1.1], [-1.8, -4.0, -0.3, -0.7], [-0.1, 0], 0.2, 4.0], [False, [-1.8, -4.0, -0.3, -0.7]]], [[[-0.2, 0.4, 0.5, 0.8], [-1.2, -0.1, 1.5, 1.8], [-0.1, 0.2], 0.1, 1.0], [True, [-0.4, 0.3, 0.6, 1.1]]]], [[[[-3.6, 4.9, -0.8, 7.8], [-4.0, 3.6, 0.4, 7.9], [0, 0.1], 0.2, 1.0], [False, [-4.0, 3.6, 0.4, 7.9]]], [[[-5.3, 1.1, -3.8, 2.4], [-4.9, 0.9, -3.0, 3.0], [-0.6, 0], 0.1, 2.0], [True, [-6.6, 1.0, -3.7, 2.5]]], [[[2.6, -0.5, 4.4, 1.4], [3.0, -1.7, 5.2, 2.6], [-0.6, 0], 0.2, 4.0], [True, [0.0, -0.7, 4.6, 1.6]]], [[[-4.1, 1.1, -3.3, 2.1], [-7.0, 1.6, -2.2, 6.1], [-0.1, -1.0], 0.5, 1.0], [True, [-4.7, -0.4, -2.8, 2.6]]], [[[2.1, 1.6, 2.8, 3.0], [1.5, -0.2, 3.4, 3.6], [0, 0], 0.1, 1.0], [True, [2.0, 1.5, 2.9, 3.1]]], [[[2.0, 3.8, 2.9, 5.5], [1.8, 3.2, 3.4, 5.7], [0.1, 0], 0.1, 1.0], [False, [1.8, 3.2, 3.4, 5.7]]], [[[2.9, 0.7, 5.9, 3.4], [3.3, 0.4, 6.7, 3.7], [-0.6, 0.1], 0.2, 2.0], [True, [1.5, 0.5, 6.1, 3.8]]], [[[3.1, -3.4, 3.7, -2.5], [3.5, -4.1, 4.5, -2.0], [-0.6, 0.1], 0.1, 1.0], [True, [2.4, -3.5, 3.8, -2.3]]]], [[[[-5.0, 2.9, -4.0, 3.6], [-5.3, 2.0, -3.7, 3.9], [0, 0], 0.2, 1.0], [False, [-5.3, 2.0, -3.7, 3.9]]], [[[1.1, 2.3, 3.5, 5.1], [1.1, 2.7, 4.2, 6.7], [-0.6, -1.0], 0.1, 4.0], [True, [-1.4, -1.8, 3.6, 5.2]]], [[[2.4, 1.8, 3.0, 3.7], [1.8, 0.8, 4.8, 4.1], [-0.6, -0.2], 0.2, 2.0], [False, [1.8, 0.8, 4.8, 4.1]]], [[[-1.1, -4.2, 0.4, -2.3], [-1.7, -6.0, 1.0, -1.7], [0, 0.2], 0.2, 1.0], [False, [-1.7, -6.0, 1.0, -1.7]]], [[[-1.1, -0.2, -0.3, 1.7], [-3.5, -3.7, 1.3, 1.7], [-0.6, 0.5], 0.5, 1.0], [False, [-3.5, -3.7, 1.3, 1.7]]], [[[2.5, 2.5, 4.3, 3.2], [2.9, 1.9, 5.1, 3.8], [-0.6, 0], 0.1, 4.0], [True, [0.0, 2.4, 4.4, 3.3]]], [[[-2.7, -2.3, -1.0, -0.7], [-3.7, -3.3, -0.0, 0.3], [0, 0], 0.2, 1.0], [False, [-3.7, -3.3, -0.0, 0.3]]], [[[-4.3, -1.2, -2.9, -0.1], [-4.3, -1.6, -1.7, 0.2], [-0.6, -0.2], 0.1, 2.0], [False, [-4.3, -1.6, -1.7, 0.2]]]], [[[[-2.1, -5.0, 0.3, -2.4], [-1.7, -4.2, 1.1, -1.2], [-0.6, -1.0], 0.2, 2.0], [True, [-3.5, -7.2, 0.5, -2.2]]], [[[-0.4, 3.7, 2.0, 5.4], [-0.8, 2.9, 5.6, 6.1], [-0.6, -0.2], 0.5, 4.0], [False, [-0.8, 2.9, 5.6, 6.1]]], [[[-4.4, -0.8, -3.4, 0.6], [-7.3, -4.3, -0.3, 3.1], [-0.1, 0.5], 0.5, 4.0], [True, [-5.3, -1.3, -2.9, 3.1]]], [[[-2.1, 2.7, -0.9, 4.6], [-3.1, -0.3, 0.1, 5.6], [0.1, 0], 0.1, 1.0], [True, [-2.2, 2.6, -0.7, 4.7]]], [[[-0.6, -4.6, 1.1, -3.7], [-1.5, -4.1, 1.2, -1.7], [0.4, -1.0], 0.5, 1.0], [True, [-1.1, -6.1, 2.0, -3.2]]], [[[2.7, 0.6, 3.1, 2.2], [-1.3, -1.4, 7.1, 6.2], [0, 0], 0.1, 1.0], [True, [2.6, 0.5, 3.2, 2.3]]], [[[-4.7, 1.6, -3.6, 3.6], [-4.6, 1.1, -2.0, 4.6], [-0.6, 0], 0.5, 1.0], [True, [-5.8, 1.1, -3.1, 4.1]]], [[[-0.9, -2.7, 0.9, -2.0], [-3.8, -3.7, 2.0, 1.0], [-0.1, 0], 0.5, 4.0], [True, [-1.8, -3.2, 1.4, -1.5]]]], [[[[3.7, 1.3, 6.2, 4.0], [3.4, 1.3, 6.5, 4.6], [-0.1, -0.2], 0.2, 1.0], [False, [3.4, 1.3, 6.5, 4.6]]], [[[-4.3, 4.5, -2.1, 5.9], [-5.6, 3.3, -1.8, 7.1], [0.1, 0], 0.2, 1.0], [False, [-5.6, 3.3, -1.8, 7.1]]], [[[2.3, 1.4, 3.5, 2.3], [0.3, -0.6, 5.5, 4.3], [0.1, 0], 0.2, 1.0], [True, [2.1, 1.2, 3.8, 2.5]]], [[[-4.6, -2.3, -3.4, 0.4], [-5.1, -3.5, -2.3, 0.8], [0.1, 0], 0.2, 1.0], [False, [-5.1, -3.5, -2.3, 0.8]]], [[[3.0, 3.8, 4.7, 5.0], [3.2, 2.6, 5.7, 6.2], [-0.6, 0], 0.2, 2.0], [True, [1.6, 3.6, 4.9, 5.2]]], [[[0.7, 2.5, 2.0, 3.2], [-0.3, 2.0, 3.0, 4.2], [-0.1, 0.2], 0.1, 1.0], [True, [0.5, 2.4, 2.1, 3.5]]], [[[-5.5, 2.6, -4.1, 5.4], [-5.1, 2.4, -3.3, 5.4], [-0.6, 0.1], 0.1, 1.0], [True, [-6.2, 2.5, -4.0, 5.6]]], [[[-4.0, 1.4, -2.1, 2.9], [-5.1, 0.7, -1.8, 2.6], [-0.1, 0.5], 0.2, 4.0], [True, [-4.6, 1.2, -1.9, 5.1]]]]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"case %d\" % i, solve(*args), expected)\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":"A deterministic bounded teaching model with stipulated toy conventions; not a production physics engine or spatial index. 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":"w2-collision_detection_broadphase-fat-aabb-reinsert-negative-motion-extension","generated_at":"2026-09-29T14:50:58.383496+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Broadphase stages decide which object pairs ever reach narrowphase; a wrong boundary, ordering or bookkeeping rule silently drops real contacts or floods the solver with false candidates.","repair":"Negative displacement extends minx, positive extends maxx.","root_cause":"The x displacement is always added to maxx.","sha256":"abe12a9bf73b57b13cb50840f0a00c42e6a84500e185109219e2ca5afb8fac10","title":"Leftward motion extends the right side of the fat box · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":40.685,"exit_code":1,"observations":[{"actual":[true,[-2.9,-3.0,-0.4,-0.4]],"check":"case 0","expected":[true,[-2.9,-3.0,-0.4,-0.4]],"passed":true},{"actual":[true,[1.9,-0.1,3.7,2.2]],"check":"case 1","expected":[true,[1.7,-0.1,3.7,2.2]],"passed":false},{"actual":[true,[-1.3,-1.3,-0.1,0.8]],"check":"case 2","expected":[true,[-2.5,-1.3,-0.1,0.8]],"passed":false},{"actual":[true,[-3.5,1.7,-0.2,3.3]],"check":"case 3","expected":[true,[-4.3,1.7,-0.2,3.3]],"passed":false},{"actual":[false,[-4.3,2.6,-1.8,3.5]],"check":"case 4","expected":[false,[-4.3,2.6,-1.8,3.5]],"passed":true},{"actual":[true,[-1.3,4.2,0.3,5.3]],"check":"case 5","expected":[true,[-1.5,4.2,0.3,5.3]],"passed":false},{"actual":[false,[-1.8,-4.0,-0.3,-0.7]],"check":"case 6","expected":[false,[-1.8,-4.0,-0.3,-0.7]],"passed":true},{"actual":[true,[-0.2,0.3,0.6,1.1]],"check":"case 7","expected":[true,[-0.4,0.3,0.6,1.1]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [true, [-2.9, -3.0, -0.4, -0.4]], \"expected\": [true, [-2.9, -3.0, -0.4, -0.4]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [true, [1.9, -0.1, 3.7, 2.2]], \"expected\": [true, [1.7, -0.1, 3.7, 2.2]], \"passed\": false}, {\"check\": \"case 2\", \"actual\": [true, [-1.3, -1.3, -0.1, 0.8]], \"expected\": [true, [-2.5, -1.3, -0.1, 0.8]], \"passed\": false}, {\"check\": \"case 3\", \"actual\": [true, [-3.5, 1.7, -0.2, 3.3]], \"expected\": [true, [-4.3, 1.7, -0.2, 3.3]], \"passed\": false}, {\"check\": \"case 4\", \"actual\": [false, [-4.3, 2.6, -1.8, 3.5]], \"expected\": [false, [-4.3, 2.6, -1.8, 3.5]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [true, [-1.3, 4.2, 0.3, 5.3]], \"expected\": [true, [-1.5, 4.2, 0.3, 5.3]], \"passed\": false}, {\"check\": \"case 6\", \"actual\": [false, [-1.8, -4.0, -0.3, -0.7]], \"expected\": [false, [-1.8, -4.0, -0.3, -0.7]], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [true, [-0.2, 0.3, 0.6, 1.1]], \"expected\": [true, [-0.4, 0.3, 0.6, 1.1]], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":40.886,"exit_code":1,"observations":[{"actual":[true,[-2.9,-3.0,-0.4,-0.4]],"check":"case 0","expected":[true,[-2.9,-3.0,-0.4,-0.4]],"passed":true},{"actual":[true,[1.8,-0.1,3.6,2.2]],"check":"case 1","expected":[true,[1.7,-0.1,3.7,2.2]],"passed":false},{"actual":[true,[-1.9,-1.3,-0.7,0.8]],"check":"case 2","expected":[true,[-2.5,-1.3,-0.1,0.8]],"passed":false},{"actual":[true,[-3.9,1.7,-0.6,3.3]],"check":"case 3","expected":[true,[-4.3,1.7,-0.2,3.3]],"passed":false},{"actual":[false,[-4.3,2.6,-1.8,3.5]],"check":"case 4","expected":[false,[-4.3,2.6,-1.8,3.5]],"passed":true},{"actual":[true,[-1.4,4.2,0.2,5.3]],"check":"case 5","expected":[true,[-1.5,4.2,0.3,5.3]],"passed":false},{"actual":[false,[-1.8,-4.0,-0.3,-0.7]],"check":"case 6","expected":[false,[-1.8,-4.0,-0.3,-0.7]],"passed":true},{"actual":[true,[-0.3,0.3,0.5,1.1]],"check":"case 7","expected":[true,[-0.4,0.3,0.6,1.1]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [true, [-2.9, -3.0, -0.4, -0.4]], \"expected\": [true, [-2.9, -3.0, -0.4, -0.4]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [true, [1.8, -0.1, 3.6, 2.2]], \"expected\": [true, [1.7, -0.1, 3.7, 2.2]], \"passed\": false}, {\"check\": \"case 2\", \"actual\": [true, [-1.9, -1.3, -0.7, 0.8]], \"expected\": [true, [-2.5, -1.3, -0.1, 0.8]], \"passed\": false}, {\"check\": \"case 3\", \"actual\": [true, [-3.9, 1.7, -0.6, 3.3]], \"expected\": [true, [-4.3, 1.7, -0.2, 3.3]], \"passed\": false}, {\"check\": \"case 4\", \"actual\": [false, [-4.3, 2.6, -1.8, 3.5]], \"expected\": [false, [-4.3, 2.6, -1.8, 3.5]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [true, [-1.4, 4.2, 0.2, 5.3]], \"expected\": [true, [-1.5, 4.2, 0.3, 5.3]], \"passed\": false}, {\"check\": \"case 6\", \"actual\": [false, [-1.8, -4.0, -0.3, -0.7]], \"expected\": [false, [-1.8, -4.0, -0.3, -0.7]], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [true, [-0.3, 0.3, 0.5, 1.1]], \"expected\": [true, [-0.4, 0.3, 0.6, 1.1]], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":39.202,"exit_code":0,"observations":[{"actual":[true,[-2.9,-3.0,-0.4,-0.4]],"check":"case 0","expected":[true,[-2.9,-3.0,-0.4,-0.4]],"passed":true},{"actual":[true,[1.7,-0.1,3.7,2.2]],"check":"case 1","expected":[true,[1.7,-0.1,3.7,2.2]],"passed":true},{"actual":[true,[-2.5,-1.3,-0.1,0.8]],"check":"case 2","expected":[true,[-2.5,-1.3,-0.1,0.8]],"passed":true},{"actual":[true,[-4.3,1.7,-0.2,3.3]],"check":"case 3","expected":[true,[-4.3,1.7,-0.2,3.3]],"passed":true},{"actual":[false,[-4.3,2.6,-1.8,3.5]],"check":"case 4","expected":[false,[-4.3,2.6,-1.8,3.5]],"passed":true},{"actual":[true,[-1.5,4.2,0.3,5.3]],"check":"case 5","expected":[true,[-1.5,4.2,0.3,5.3]],"passed":true},{"actual":[false,[-1.8,-4.0,-0.3,-0.7]],"check":"case 6","expected":[false,[-1.8,-4.0,-0.3,-0.7]],"passed":true},{"actual":[true,[-0.4,0.3,0.6,1.1]],"check":"case 7","expected":[true,[-0.4,0.3,0.6,1.1]],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [true, [-2.9, -3.0, -0.4, -0.4]], \"expected\": [true, [-2.9, -3.0, -0.4, -0.4]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [true, [1.7, -0.1, 3.7, 2.2]], \"expected\": [true, [1.7, -0.1, 3.7, 2.2]], \"passed\": true}, {\"check\": \"case 2\", \"actual\": [true, [-2.5, -1.3, -0.1, 0.8]], \"expected\": [true, [-2.5, -1.3, -0.1, 0.8]], \"passed\": true}, {\"check\": \"case 3\", \"actual\": [true, [-4.3, 1.7, -0.2, 3.3]], \"expected\": [true, [-4.3, 1.7, -0.2, 3.3]], \"passed\": true}, {\"check\": \"case 4\", \"actual\": [false, [-4.3, 2.6, -1.8, 3.5]], \"expected\": [false, [-4.3, 2.6, -1.8, 3.5]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [true, [-1.5, 4.2, 0.3, 5.3]], \"expected\": [true, [-1.5, 4.2, 0.3, 5.3]], \"passed\": true}, {\"check\": \"case 6\", \"actual\": [false, [-1.8, -4.0, -0.3, -0.7]], \"expected\": [false, [-1.8, -4.0, -0.3, -0.7]], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [true, [-0.4, 0.3, 0.6, 1.1]], \"expected\": [true, [-0.4, 0.3, 0.6, 1.1]], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}