{"abstract":"A proxy whose tight box touches its fat bound is reinserted every frame.","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":"Checking only the minimum corner misses escapes through the maximum side.","family":"w2-collision_detection_broadphase-fat-aabb-reinsert-containment-boundary","id":"FA-87391","implementations":{"attempt":{"sha256":"b5ad0d9e2f74a4f5468b0ca7c70ce917925680a304e2839c5b0d6576cbe080a1","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]\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 = [[[[[-2.9, -0.1, -0.6, 0.6], [-4.5, -0.4, -1.4, 0.7], [1.0, 0.1], 0.1, 2.0], [True, [-3.0, -0.2, 1.5, 0.9]]], [[[-2.8, 2.4, -1.8, 3.8], [-4.2, 1.1, -2.4, 3.9], [1.0, 0.1], 0.2, 1.0], [True, [-3.0, 2.2, -0.6, 4.1]]], [[[-0.2, 0.7, 1.1, 1.9], [-0.8, -1.1, 1.7, 2.5], [-0.1, 0], 0.2, 1.0], [False, [-0.8, -1.1, 1.7, 2.5]]], [[[-3.3, 2.7, -1.0, 3.3], [-3.4, 2.0, -0.3, 3.3], [-0.1, 0.1], 0.1, 1.0], [False, [-3.4, 2.0, -0.3, 3.3]]], [[[-3.4, -0.9, -2.5, 0.7], [-7.4, -12.9, 1.5, 4.7], [0.1, 0.2], 0.1, 1.0], [True, [-3.5, -1.0, -2.3, 1.0]]], [[[0.3, -1.3, 1.2, 0.9], [-3.7, -1.9, 1.2, 1.8], [1.0, 0.1], 0.5, 4.0], [False, [-3.7, -1.9, 1.2, 1.8]]], [[[2.4, 1.3, 4.6, 2.6], [2.5, 0.2, 6.2, 3.0], [-0.6, 0.1], 0.5, 2.0], [True, [0.7, 0.8, 5.1, 3.3]]], [[[-4.3, 0.7, -1.4, 3.2], [-4.7, 0.7, 2.2, 7.2], [-0.6, -1.0], 0.5, 2.0], [False, [-4.7, 0.7, 2.2, 7.2]]]], [[[[0.8, -0.3, 1.7, 1.2], [-0.3, -2.3, 2.1, 3.2], [0.1, -1.0], 0.5, 1.0], [False, [-0.3, -2.3, 2.1, 3.2]]], [[[-1.9, -3.8, 0.9, -2.8], [-3.1, -4.5, 0.1, -2.7], [1.0, 0.5], 0.1, 4.0], [True, [-2.0, -3.9, 5.0, -0.7]]], [[[2.2, 3.9, 3.8, 4.6], [-1.8, -0.1, 7.8, 8.6], [0.1, 0.2], 0.2, 1.0], [True, [2.0, 3.7, 4.1, 5.0]]], [[[3.0, 4.0, 3.8, 5.2], [0.0, 3.0, 4.8, 5.2], [0, 0.5], 0.5, 1.0], [False, [0.0, 3.0, 4.8, 5.2]]], [[[-0.1, -0.3, 1.1, 1.0], [-0.8, -0.3, 1.1, 1.4], [0.1, -0.2], 0.1, 4.0], [False, [-0.8, -0.3, 1.1, 1.4]]], [[[3.5, 4.1, 4.2, 5.4], [3.4, 3.4, 4.9, 5.0], [-0.1, 0.5], 0.1, 1.0], [True, [3.3, 4.0, 4.3, 6.0]]], [[[-2.7, -2.6, -1.9, -0.3], [-2.7, -3.2, -1.1, -0.1], [-0.6, 0], 0.1, 1.0], [False, [-2.7, -3.2, -1.1, -0.1]]], [[[0.9, 2.5, 3.2, 4.8], [-0.5, -0.3, 3.8, 6.0], [0.4, -0.2], 0.5, 1.0], [False, [-0.5, -0.3, 3.8, 6.0]]]], [[[[3.6, -4.5, 4.6, -3.5], [0.6, -4.5, 5.6, 0.5], [0, -1.0], 0.5, 4.0], [False, [0.6, -4.5, 5.6, 0.5]]], [[[-0.5, -4.7, 0.5, -2.8], [-1.6, -5.1, 0.1, -2.0], [1.0, -0.2], 0.1, 4.0], [True, [-0.6, -5.6, 4.6, -2.7]]], [[[0.4, 1.0, 2.7, 2.7], [0.8, 1.0, 3.9, 3.0], [-0.6, -0.2], 0.1, 2.0], [True, [-0.9, 0.5, 2.8, 2.8]]], [[[-0.3, 4.2, 1.5, 5.7], [-1.8, 1.1, 1.0, 8.6], [1.0, 0.1], 0.5, 1.0], [True, [-0.8, 3.7, 3.0, 6.3]]], [[[-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]]], [[[-1.4, 3.0, -0.7, 3.7], [-1.4, 2.6, 0.5, 4.1], [-0.6, -0.2], 0.1, 4.0], [False, [-1.4, 2.6, 0.5, 4.1]]], [[[1.7, -0.5, 2.9, 1.9], [0.7, -0.5, 2.7, 2.3], [0.4, -0.2], 0.1, 4.0], [True, [1.6, -1.4, 4.6, 2.0]]]], [[[[0.2, 1.9, 1.6, 2.6], [0.2, 1.9, 2.8, 3.0], [-0.6, -0.2], 0.1, 4.0], [False, [0.2, 1.9, 2.8, 3.0]]], [[[1.5, -2.9, 4.1, -0.5], [1.4, -4.6, 4.6, -0.8], [-0.1, 0.5], 0.2, 1.0], [True, [1.2, -3.1, 4.3, 0.2]]], [[[2.1, -1.3, 4.7, 0.7], [1.5, -1.3, 5.5, 2.1], [-0.6, -0.2], 0.2, 2.0], [False, [1.5, -1.3, 5.5, 2.1]]], [[[3.4, 1.4, 4.5, 3.4], [0.4, 1.4, 5.5, 4.9], [0, -1.0], 0.5, 2.0], [False, [0.4, 1.4, 5.5, 4.9]]], [[[3.8, 0.5, 4.7, 2.1], [-0.2, -3.5, 8.7, 6.1], [-0.1, 0], 0.2, 1.0], [True, [3.5, 0.3, 4.9, 2.3]]], [[[-2.9, 0.5, -0.5, 2.0], [-4.1, -1.2, 0.7, 1.9], [0, 0.5], 0.2, 1.0], [True, [-3.1, 0.3, -0.3, 2.7]]], [[[-2.8, -1.6, -2.1, -0.8], [-5.0, -0.8, -2.9, 1.4], [1.0, -1.0], 0.2, 2.0], [True, [-3.0, -3.8, 0.1, -0.6]]], [[[5.5, -2.4, 7.0, -1.3], [3.5, -3.2, 6.5, -0.1], [1.0, -0.2], 0.5, 1.0], [True, [5.0, -3.1, 8.5, -0.8]]]], [[[[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]]], [[[-1.5, 3.1, 0.0, 4.0], [-1.8, 2.95, 0.3, 4.3], [0, 0.2], 0.1, 1.0], [False, [-1.8, 2.95, 0.3, 4.3]]], [[[-2.1, -4.0, 0.8, -2.1], [-4.1, -4.6, 0.3, 0.8], [1.0, 0.1], 0.5, 2.0], [True, [-2.6, -4.5, 3.3, -1.4]]], [[[2.8, 2.9, 4.4, 5.8], [2.6, 2.7, 4.5, 5.8], [0, 0.1], 0.1, 4.0], [False, [2.6, 2.7, 4.5, 5.8]]], [[[-3.1, 2.9, -0.8, 4.5], [-5.5, 1.9, 2.8, 5.0], [-0.6, 0], 0.5, 1.0], [False, [-5.5, 1.9, 2.8, 5.0]]], [[[0.6, -5.6, 3.3, -3.9], [0.1, -4.7, 3.5, -2.3], [0.4, -1.0], 0.1, 1.0], [True, [0.5, -6.7, 3.8, -3.8]]], [[[4.7, -1.7, 5.8, -1.1], [3.2, -2.2, 5.8, -0.1], [1.0, 0], 0.5, 4.0], [False, [3.2, -2.2, 5.8, -0.1]]], [[[-2.9, -4.6, -1.5, -3.9], [-4.9, -6.6, -2.0, 0.1], [1.0, -1.0], 0.5, 2.0], [True, [-3.4, -7.1, 1.0, -3.4]]]]]\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":"c3ef65c358eca947ab3ce75a5898a126a650f0d72766d296f8224f35fe210b2c","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 = [[[[[-2.9, -0.1, -0.6, 0.6], [-4.5, -0.4, -1.4, 0.7], [1.0, 0.1], 0.1, 2.0], [True, [-3.0, -0.2, 1.5, 0.9]]], [[[-2.8, 2.4, -1.8, 3.8], [-4.2, 1.1, -2.4, 3.9], [1.0, 0.1], 0.2, 1.0], [True, [-3.0, 2.2, -0.6, 4.1]]], [[[-0.2, 0.7, 1.1, 1.9], [-0.8, -1.1, 1.7, 2.5], [-0.1, 0], 0.2, 1.0], [False, [-0.8, -1.1, 1.7, 2.5]]], [[[-3.3, 2.7, -1.0, 3.3], [-3.4, 2.0, -0.3, 3.3], [-0.1, 0.1], 0.1, 1.0], [False, [-3.4, 2.0, -0.3, 3.3]]], [[[-3.4, -0.9, -2.5, 0.7], [-7.4, -12.9, 1.5, 4.7], [0.1, 0.2], 0.1, 1.0], [True, [-3.5, -1.0, -2.3, 1.0]]], [[[0.3, -1.3, 1.2, 0.9], [-3.7, -1.9, 1.2, 1.8], [1.0, 0.1], 0.5, 4.0], [False, [-3.7, -1.9, 1.2, 1.8]]], [[[2.4, 1.3, 4.6, 2.6], [2.5, 0.2, 6.2, 3.0], [-0.6, 0.1], 0.5, 2.0], [True, [0.7, 0.8, 5.1, 3.3]]], [[[-4.3, 0.7, -1.4, 3.2], [-4.7, 0.7, 2.2, 7.2], [-0.6, -1.0], 0.5, 2.0], [False, [-4.7, 0.7, 2.2, 7.2]]]], [[[[0.8, -0.3, 1.7, 1.2], [-0.3, -2.3, 2.1, 3.2], [0.1, -1.0], 0.5, 1.0], [False, [-0.3, -2.3, 2.1, 3.2]]], [[[-1.9, -3.8, 0.9, -2.8], [-3.1, -4.5, 0.1, -2.7], [1.0, 0.5], 0.1, 4.0], [True, [-2.0, -3.9, 5.0, -0.7]]], [[[2.2, 3.9, 3.8, 4.6], [-1.8, -0.1, 7.8, 8.6], [0.1, 0.2], 0.2, 1.0], [True, [2.0, 3.7, 4.1, 5.0]]], [[[3.0, 4.0, 3.8, 5.2], [0.0, 3.0, 4.8, 5.2], [0, 0.5], 0.5, 1.0], [False, [0.0, 3.0, 4.8, 5.2]]], [[[-0.1, -0.3, 1.1, 1.0], [-0.8, -0.3, 1.1, 1.4], [0.1, -0.2], 0.1, 4.0], [False, [-0.8, -0.3, 1.1, 1.4]]], [[[3.5, 4.1, 4.2, 5.4], [3.4, 3.4, 4.9, 5.0], [-0.1, 0.5], 0.1, 1.0], [True, [3.3, 4.0, 4.3, 6.0]]], [[[-2.7, -2.6, -1.9, -0.3], [-2.7, -3.2, -1.1, -0.1], [-0.6, 0], 0.1, 1.0], [False, [-2.7, -3.2, -1.1, -0.1]]], [[[0.9, 2.5, 3.2, 4.8], [-0.5, -0.3, 3.8, 6.0], [0.4, -0.2], 0.5, 1.0], [False, [-0.5, -0.3, 3.8, 6.0]]]], [[[[3.6, -4.5, 4.6, -3.5], [0.6, -4.5, 5.6, 0.5], [0, -1.0], 0.5, 4.0], [False, [0.6, -4.5, 5.6, 0.5]]], [[[-0.5, -4.7, 0.5, -2.8], [-1.6, -5.1, 0.1, -2.0], [1.0, -0.2], 0.1, 4.0], [True, [-0.6, -5.6, 4.6, -2.7]]], [[[0.4, 1.0, 2.7, 2.7], [0.8, 1.0, 3.9, 3.0], [-0.6, -0.2], 0.1, 2.0], [True, [-0.9, 0.5, 2.8, 2.8]]], [[[-0.3, 4.2, 1.5, 5.7], [-1.8, 1.1, 1.0, 8.6], [1.0, 0.1], 0.5, 1.0], [True, [-0.8, 3.7, 3.0, 6.3]]], [[[-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]]], [[[-1.4, 3.0, -0.7, 3.7], [-1.4, 2.6, 0.5, 4.1], [-0.6, -0.2], 0.1, 4.0], [False, [-1.4, 2.6, 0.5, 4.1]]], [[[1.7, -0.5, 2.9, 1.9], [0.7, -0.5, 2.7, 2.3], [0.4, -0.2], 0.1, 4.0], [True, [1.6, -1.4, 4.6, 2.0]]]], [[[[0.2, 1.9, 1.6, 2.6], [0.2, 1.9, 2.8, 3.0], [-0.6, -0.2], 0.1, 4.0], [False, [0.2, 1.9, 2.8, 3.0]]], [[[1.5, -2.9, 4.1, -0.5], [1.4, -4.6, 4.6, -0.8], [-0.1, 0.5], 0.2, 1.0], [True, [1.2, -3.1, 4.3, 0.2]]], [[[2.1, -1.3, 4.7, 0.7], [1.5, -1.3, 5.5, 2.1], [-0.6, -0.2], 0.2, 2.0], [False, [1.5, -1.3, 5.5, 2.1]]], [[[3.4, 1.4, 4.5, 3.4], [0.4, 1.4, 5.5, 4.9], [0, -1.0], 0.5, 2.0], [False, [0.4, 1.4, 5.5, 4.9]]], [[[3.8, 0.5, 4.7, 2.1], [-0.2, -3.5, 8.7, 6.1], [-0.1, 0], 0.2, 1.0], [True, [3.5, 0.3, 4.9, 2.3]]], [[[-2.9, 0.5, -0.5, 2.0], [-4.1, -1.2, 0.7, 1.9], [0, 0.5], 0.2, 1.0], [True, [-3.1, 0.3, -0.3, 2.7]]], [[[-2.8, -1.6, -2.1, -0.8], [-5.0, -0.8, -2.9, 1.4], [1.0, -1.0], 0.2, 2.0], [True, [-3.0, -3.8, 0.1, -0.6]]], [[[5.5, -2.4, 7.0, -1.3], [3.5, -3.2, 6.5, -0.1], [1.0, -0.2], 0.5, 1.0], [True, [5.0, -3.1, 8.5, -0.8]]]], [[[[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]]], [[[-1.5, 3.1, 0.0, 4.0], [-1.8, 2.95, 0.3, 4.3], [0, 0.2], 0.1, 1.0], [False, [-1.8, 2.95, 0.3, 4.3]]], [[[-2.1, -4.0, 0.8, -2.1], [-4.1, -4.6, 0.3, 0.8], [1.0, 0.1], 0.5, 2.0], [True, [-2.6, -4.5, 3.3, -1.4]]], [[[2.8, 2.9, 4.4, 5.8], [2.6, 2.7, 4.5, 5.8], [0, 0.1], 0.1, 4.0], [False, [2.6, 2.7, 4.5, 5.8]]], [[[-3.1, 2.9, -0.8, 4.5], [-5.5, 1.9, 2.8, 5.0], [-0.6, 0], 0.5, 1.0], [False, [-5.5, 1.9, 2.8, 5.0]]], [[[0.6, -5.6, 3.3, -3.9], [0.1, -4.7, 3.5, -2.3], [0.4, -1.0], 0.1, 1.0], [True, [0.5, -6.7, 3.8, -3.8]]], [[[4.7, -1.7, 5.8, -1.1], [3.2, -2.2, 5.8, -0.1], [1.0, 0], 0.5, 4.0], [False, [3.2, -2.2, 5.8, -0.1]]], [[[-2.9, -4.6, -1.5, -3.9], [-4.9, -6.6, -2.0, 0.1], [1.0, -1.0], 0.5, 2.0], [True, [-3.4, -7.1, 1.0, -3.4]]]]]\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":"0814c5c229eabb6dfb0c91e9c96f11a78a9a775d873702faf125d1d13ee93a38","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 = [[[[[-2.9, -0.1, -0.6, 0.6], [-4.5, -0.4, -1.4, 0.7], [1.0, 0.1], 0.1, 2.0], [True, [-3.0, -0.2, 1.5, 0.9]]], [[[-2.8, 2.4, -1.8, 3.8], [-4.2, 1.1, -2.4, 3.9], [1.0, 0.1], 0.2, 1.0], [True, [-3.0, 2.2, -0.6, 4.1]]], [[[-0.2, 0.7, 1.1, 1.9], [-0.8, -1.1, 1.7, 2.5], [-0.1, 0], 0.2, 1.0], [False, [-0.8, -1.1, 1.7, 2.5]]], [[[-3.3, 2.7, -1.0, 3.3], [-3.4, 2.0, -0.3, 3.3], [-0.1, 0.1], 0.1, 1.0], [False, [-3.4, 2.0, -0.3, 3.3]]], [[[-3.4, -0.9, -2.5, 0.7], [-7.4, -12.9, 1.5, 4.7], [0.1, 0.2], 0.1, 1.0], [True, [-3.5, -1.0, -2.3, 1.0]]], [[[0.3, -1.3, 1.2, 0.9], [-3.7, -1.9, 1.2, 1.8], [1.0, 0.1], 0.5, 4.0], [False, [-3.7, -1.9, 1.2, 1.8]]], [[[2.4, 1.3, 4.6, 2.6], [2.5, 0.2, 6.2, 3.0], [-0.6, 0.1], 0.5, 2.0], [True, [0.7, 0.8, 5.1, 3.3]]], [[[-4.3, 0.7, -1.4, 3.2], [-4.7, 0.7, 2.2, 7.2], [-0.6, -1.0], 0.5, 2.0], [False, [-4.7, 0.7, 2.2, 7.2]]]], [[[[0.8, -0.3, 1.7, 1.2], [-0.3, -2.3, 2.1, 3.2], [0.1, -1.0], 0.5, 1.0], [False, [-0.3, -2.3, 2.1, 3.2]]], [[[-1.9, -3.8, 0.9, -2.8], [-3.1, -4.5, 0.1, -2.7], [1.0, 0.5], 0.1, 4.0], [True, [-2.0, -3.9, 5.0, -0.7]]], [[[2.2, 3.9, 3.8, 4.6], [-1.8, -0.1, 7.8, 8.6], [0.1, 0.2], 0.2, 1.0], [True, [2.0, 3.7, 4.1, 5.0]]], [[[3.0, 4.0, 3.8, 5.2], [0.0, 3.0, 4.8, 5.2], [0, 0.5], 0.5, 1.0], [False, [0.0, 3.0, 4.8, 5.2]]], [[[-0.1, -0.3, 1.1, 1.0], [-0.8, -0.3, 1.1, 1.4], [0.1, -0.2], 0.1, 4.0], [False, [-0.8, -0.3, 1.1, 1.4]]], [[[3.5, 4.1, 4.2, 5.4], [3.4, 3.4, 4.9, 5.0], [-0.1, 0.5], 0.1, 1.0], [True, [3.3, 4.0, 4.3, 6.0]]], [[[-2.7, -2.6, -1.9, -0.3], [-2.7, -3.2, -1.1, -0.1], [-0.6, 0], 0.1, 1.0], [False, [-2.7, -3.2, -1.1, -0.1]]], [[[0.9, 2.5, 3.2, 4.8], [-0.5, -0.3, 3.8, 6.0], [0.4, -0.2], 0.5, 1.0], [False, [-0.5, -0.3, 3.8, 6.0]]]], [[[[3.6, -4.5, 4.6, -3.5], [0.6, -4.5, 5.6, 0.5], [0, -1.0], 0.5, 4.0], [False, [0.6, -4.5, 5.6, 0.5]]], [[[-0.5, -4.7, 0.5, -2.8], [-1.6, -5.1, 0.1, -2.0], [1.0, -0.2], 0.1, 4.0], [True, [-0.6, -5.6, 4.6, -2.7]]], [[[0.4, 1.0, 2.7, 2.7], [0.8, 1.0, 3.9, 3.0], [-0.6, -0.2], 0.1, 2.0], [True, [-0.9, 0.5, 2.8, 2.8]]], [[[-0.3, 4.2, 1.5, 5.7], [-1.8, 1.1, 1.0, 8.6], [1.0, 0.1], 0.5, 1.0], [True, [-0.8, 3.7, 3.0, 6.3]]], [[[-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]]], [[[-1.4, 3.0, -0.7, 3.7], [-1.4, 2.6, 0.5, 4.1], [-0.6, -0.2], 0.1, 4.0], [False, [-1.4, 2.6, 0.5, 4.1]]], [[[1.7, -0.5, 2.9, 1.9], [0.7, -0.5, 2.7, 2.3], [0.4, -0.2], 0.1, 4.0], [True, [1.6, -1.4, 4.6, 2.0]]]], [[[[0.2, 1.9, 1.6, 2.6], [0.2, 1.9, 2.8, 3.0], [-0.6, -0.2], 0.1, 4.0], [False, [0.2, 1.9, 2.8, 3.0]]], [[[1.5, -2.9, 4.1, -0.5], [1.4, -4.6, 4.6, -0.8], [-0.1, 0.5], 0.2, 1.0], [True, [1.2, -3.1, 4.3, 0.2]]], [[[2.1, -1.3, 4.7, 0.7], [1.5, -1.3, 5.5, 2.1], [-0.6, -0.2], 0.2, 2.0], [False, [1.5, -1.3, 5.5, 2.1]]], [[[3.4, 1.4, 4.5, 3.4], [0.4, 1.4, 5.5, 4.9], [0, -1.0], 0.5, 2.0], [False, [0.4, 1.4, 5.5, 4.9]]], [[[3.8, 0.5, 4.7, 2.1], [-0.2, -3.5, 8.7, 6.1], [-0.1, 0], 0.2, 1.0], [True, [3.5, 0.3, 4.9, 2.3]]], [[[-2.9, 0.5, -0.5, 2.0], [-4.1, -1.2, 0.7, 1.9], [0, 0.5], 0.2, 1.0], [True, [-3.1, 0.3, -0.3, 2.7]]], [[[-2.8, -1.6, -2.1, -0.8], [-5.0, -0.8, -2.9, 1.4], [1.0, -1.0], 0.2, 2.0], [True, [-3.0, -3.8, 0.1, -0.6]]], [[[5.5, -2.4, 7.0, -1.3], [3.5, -3.2, 6.5, -0.1], [1.0, -0.2], 0.5, 1.0], [True, [5.0, -3.1, 8.5, -0.8]]]], [[[[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]]], [[[-1.5, 3.1, 0.0, 4.0], [-1.8, 2.95, 0.3, 4.3], [0, 0.2], 0.1, 1.0], [False, [-1.8, 2.95, 0.3, 4.3]]], [[[-2.1, -4.0, 0.8, -2.1], [-4.1, -4.6, 0.3, 0.8], [1.0, 0.1], 0.5, 2.0], [True, [-2.6, -4.5, 3.3, -1.4]]], [[[2.8, 2.9, 4.4, 5.8], [2.6, 2.7, 4.5, 5.8], [0, 0.1], 0.1, 4.0], [False, [2.6, 2.7, 4.5, 5.8]]], [[[-3.1, 2.9, -0.8, 4.5], [-5.5, 1.9, 2.8, 5.0], [-0.6, 0], 0.5, 1.0], [False, [-5.5, 1.9, 2.8, 5.0]]], [[[0.6, -5.6, 3.3, -3.9], [0.1, -4.7, 3.5, -2.3], [0.4, -1.0], 0.1, 1.0], [True, [0.5, -6.7, 3.8, -3.8]]], [[[4.7, -1.7, 5.8, -1.1], [3.2, -2.2, 5.8, -0.1], [1.0, 0], 0.5, 4.0], [False, [3.2, -2.2, 5.8, -0.1]]], [[[-2.9, -4.6, -1.5, -3.9], [-4.9, -6.6, -2.0, 0.1], [1.0, -1.0], 0.5, 2.0], [True, [-3.4, -7.1, 1.0, -3.4]]]]]\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-containment-boundary","generated_at":"2026-09-29T14:50:58.358301+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":"Containment is inclusive.","root_cause":"All four containment comparisons use <.","sha256":"f755e152b6a7f030ff3c376358421a93338081b95f4af5912309fedbe4ab5bc4","title":"Fat box containment is strict · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":41.553,"exit_code":1,"observations":[{"actual":[false,[-4.5,-0.4,-1.4,0.7]],"check":"case 0","expected":[true,[-3.0,-0.2,1.5,0.9]],"passed":false},{"actual":[false,[-4.2,1.1,-2.4,3.9]],"check":"case 1","expected":[true,[-3.0,2.2,-0.6,4.1]],"passed":false},{"actual":[false,[-0.8,-1.1,1.7,2.5]],"check":"case 2","expected":[false,[-0.8,-1.1,1.7,2.5]],"passed":true},{"actual":[false,[-3.4,2.0,-0.3,3.3]],"check":"case 3","expected":[false,[-3.4,2.0,-0.3,3.3]],"passed":true},{"actual":[true,[-3.5,-1.0,-2.3,1.0]],"check":"case 4","expected":[true,[-3.5,-1.0,-2.3,1.0]],"passed":true},{"actual":[false,[-3.7,-1.9,1.2,1.8]],"check":"case 5","expected":[false,[-3.7,-1.9,1.2,1.8]],"passed":true},{"actual":[true,[0.7,0.8,5.1,3.3]],"check":"case 6","expected":[true,[0.7,0.8,5.1,3.3]],"passed":true},{"actual":[false,[-4.7,0.7,2.2,7.2]],"check":"case 7","expected":[false,[-4.7,0.7,2.2,7.2]],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [false, [-4.5, -0.4, -1.4, 0.7]], \"expected\": [true, [-3.0, -0.2, 1.5, 0.9]], \"passed\": false}, {\"check\": \"case 1\", \"actual\": [false, [-4.2, 1.1, -2.4, 3.9]], \"expected\": [true, [-3.0, 2.2, -0.6, 4.1]], \"passed\": false}, {\"check\": \"case 2\", \"actual\": [false, [-0.8, -1.1, 1.7, 2.5]], \"expected\": [false, [-0.8, -1.1, 1.7, 2.5]], \"passed\": true}, {\"check\": \"case 3\", \"actual\": [false, [-3.4, 2.0, -0.3, 3.3]], \"expected\": [false, [-3.4, 2.0, -0.3, 3.3]], \"passed\": true}, {\"check\": \"case 4\", \"actual\": [true, [-3.5, -1.0, -2.3, 1.0]], \"expected\": [true, [-3.5, -1.0, -2.3, 1.0]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [false, [-3.7, -1.9, 1.2, 1.8]], \"expected\": [false, [-3.7, -1.9, 1.2, 1.8]], \"passed\": true}, {\"check\": \"case 6\", \"actual\": [true, [0.7, 0.8, 5.1, 3.3]], \"expected\": [true, [0.7, 0.8, 5.1, 3.3]], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [false, [-4.7, 0.7, 2.2, 7.2]], \"expected\": [false, [-4.7, 0.7, 2.2, 7.2]], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":40.005,"exit_code":1,"observations":[{"actual":[true,[-3.0,-0.2,1.5,0.9]],"check":"case 0","expected":[true,[-3.0,-0.2,1.5,0.9]],"passed":true},{"actual":[true,[-3.0,2.2,-0.6,4.1]],"check":"case 1","expected":[true,[-3.0,2.2,-0.6,4.1]],"passed":true},{"actual":[false,[-0.8,-1.1,1.7,2.5]],"check":"case 2","expected":[false,[-0.8,-1.1,1.7,2.5]],"passed":true},{"actual":[true,[-3.5,2.6,-0.9,3.5]],"check":"case 3","expected":[false,[-3.4,2.0,-0.3,3.3]],"passed":false},{"actual":[true,[-3.5,-1.0,-2.3,1.0]],"check":"case 4","expected":[true,[-3.5,-1.0,-2.3,1.0]],"passed":true},{"actual":[true,[-0.2,-1.8,5.7,1.8]],"check":"case 5","expected":[false,[-3.7,-1.9,1.2,1.8]],"passed":false},{"actual":[true,[0.7,0.8,5.1,3.3]],"check":"case 6","expected":[true,[0.7,0.8,5.1,3.3]],"passed":true},{"actual":[true,[-6.0,-1.8,-0.9,3.7]],"check":"case 7","expected":[false,[-4.7,0.7,2.2,7.2]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [true, [-3.0, -0.2, 1.5, 0.9]], \"expected\": [true, [-3.0, -0.2, 1.5, 0.9]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [true, [-3.0, 2.2, -0.6, 4.1]], \"expected\": [true, [-3.0, 2.2, -0.6, 4.1]], \"passed\": true}, {\"check\": \"case 2\", \"actual\": [false, [-0.8, -1.1, 1.7, 2.5]], \"expected\": [false, [-0.8, -1.1, 1.7, 2.5]], \"passed\": true}, {\"check\": \"case 3\", \"actual\": [true, [-3.5, 2.6, -0.9, 3.5]], \"expected\": [false, [-3.4, 2.0, -0.3, 3.3]], \"passed\": false}, {\"check\": \"case 4\", \"actual\": [true, [-3.5, -1.0, -2.3, 1.0]], \"expected\": [true, [-3.5, -1.0, -2.3, 1.0]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [true, [-0.2, -1.8, 5.7, 1.8]], \"expected\": [false, [-3.7, -1.9, 1.2, 1.8]], \"passed\": false}, {\"check\": \"case 6\", \"actual\": [true, [0.7, 0.8, 5.1, 3.3]], \"expected\": [true, [0.7, 0.8, 5.1, 3.3]], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [true, [-6.0, -1.8, -0.9, 3.7]], \"expected\": [false, [-4.7, 0.7, 2.2, 7.2]], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":39.533,"exit_code":0,"observations":[{"actual":[true,[-3.0,-0.2,1.5,0.9]],"check":"case 0","expected":[true,[-3.0,-0.2,1.5,0.9]],"passed":true},{"actual":[true,[-3.0,2.2,-0.6,4.1]],"check":"case 1","expected":[true,[-3.0,2.2,-0.6,4.1]],"passed":true},{"actual":[false,[-0.8,-1.1,1.7,2.5]],"check":"case 2","expected":[false,[-0.8,-1.1,1.7,2.5]],"passed":true},{"actual":[false,[-3.4,2.0,-0.3,3.3]],"check":"case 3","expected":[false,[-3.4,2.0,-0.3,3.3]],"passed":true},{"actual":[true,[-3.5,-1.0,-2.3,1.0]],"check":"case 4","expected":[true,[-3.5,-1.0,-2.3,1.0]],"passed":true},{"actual":[false,[-3.7,-1.9,1.2,1.8]],"check":"case 5","expected":[false,[-3.7,-1.9,1.2,1.8]],"passed":true},{"actual":[true,[0.7,0.8,5.1,3.3]],"check":"case 6","expected":[true,[0.7,0.8,5.1,3.3]],"passed":true},{"actual":[false,[-4.7,0.7,2.2,7.2]],"check":"case 7","expected":[false,[-4.7,0.7,2.2,7.2]],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [true, [-3.0, -0.2, 1.5, 0.9]], \"expected\": [true, [-3.0, -0.2, 1.5, 0.9]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [true, [-3.0, 2.2, -0.6, 4.1]], \"expected\": [true, [-3.0, 2.2, -0.6, 4.1]], \"passed\": true}, {\"check\": \"case 2\", \"actual\": [false, [-0.8, -1.1, 1.7, 2.5]], \"expected\": [false, [-0.8, -1.1, 1.7, 2.5]], \"passed\": true}, {\"check\": \"case 3\", \"actual\": [false, [-3.4, 2.0, -0.3, 3.3]], \"expected\": [false, [-3.4, 2.0, -0.3, 3.3]], \"passed\": true}, {\"check\": \"case 4\", \"actual\": [true, [-3.5, -1.0, -2.3, 1.0]], \"expected\": [true, [-3.5, -1.0, -2.3, 1.0]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [false, [-3.7, -1.9, 1.2, 1.8]], \"expected\": [false, [-3.7, -1.9, 1.2, 1.8]], \"passed\": true}, {\"check\": \"case 6\", \"actual\": [true, [0.7, 0.8, 5.1, 3.3]], \"expected\": [true, [0.7, 0.8, 5.1, 3.3]], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [false, [-4.7, 0.7, 2.2, 7.2]], \"expected\": [false, [-4.7, 0.7, 2.2, 7.2]], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}