{"abstract":"The shrink rule triggers at the wrong sizes.","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":"Squaring the width ignores height.","family":"w2-collision_detection_broadphase-fat-aabb-reinsert-box-area-measure","id":"FA-87416","implementations":{"attempt":{"sha256":"a53b9ad9f9c1433b95a8142833d47932629dc5e9235ae5dbc14f465ced7dd35f","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[2] - b[0])\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 = [[[[[-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]]], [[[2.8, 1.5, 4.5, 2.1], [1.8, -1.5, 5.5, 3.1], [0, 0.2], 0.2, 1.0], [True, [2.6, 1.3, 4.7, 2.5]]], [[[-0.7, -1.6, 0.4, 0.6], [-3.8, -4.4, 0.8, 1.3], [0.1, -0.2], 0.5, 1.0], [False, [-3.8, -4.4, 0.8, 1.3]]], [[[1.1, 3.2, 3.9, 5.5], [-2.0, 2.2, 4.3, 8.0], [0.1, 0.5], 0.5, 2.0], [False, [-2.0, 2.2, 4.3, 8.0]]], [[[-2.1, 0.0, 0.0, 0.6], [-3.0, -3.1, 1.1, 1.5], [-0.1, 0.1], 0.5, 1.0], [False, [-3.0, -3.1, 1.1, 1.5]]], [[[-3.1, -3.3, -2.8, -1.4], [-5.1, -4.3, -0.8, 0.6], [-0.1, 0], 0.2, 1.0], [True, [-3.4, -3.5, -2.6, -1.2]]], [[[1.4, 2.3, 2.0, 5.3], [-1.5, 2.0, 2.6, 8.5], [-0.1, -0.2], 0.5, 4.0], [False, [-1.5, 2.0, 2.6, 8.5]]], [[[2.4, 1.1, 3.5, 2.9], [1.4, -1.9, 4.5, 3.9], [0.1, 0], 0.1, 1.0], [True, [2.3, 1.0, 3.7, 3.0]]]], [[[[4.1, 1.7, 4.6, 2.0], [3.8, 1.55, 4.9, 2.3], [0, 0], 0.1, 1.0], [False, [3.8, 1.55, 4.9, 2.3]]], [[[2.8, -0.7, 5.5, 2.0], [-0.3, -1.3, 8.4, 2.9], [0.1, 0.1], 0.5, 2.0], [False, [-0.3, -1.3, 8.4, 2.9]]], [[[-0.1, -4.2, 0.7, -2.8], [-2.1, -6.2, 2.7, -0.8], [0, 0], 0.1, 1.0], [True, [-0.2, -4.3, 0.8, -2.7]]], [[[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]]], [[[2.3, -1.1, 3.1, 1.6], [1.2, -2.8, 3.4, 1.3], [-0.1, 0.5], 0.2, 1.0], [True, [2.0, -1.3, 3.3, 2.3]]], [[[-2.0, 2.3, -1.0, 3.7], [-4.0, 1.3, 1.0, 5.7], [-0.1, 0], 0.1, 1.0], [True, [-2.2, 2.2, -0.9, 3.8]]], [[[1.7, 2.9, 3.1, 4.9], [-1.2, 2.9, 6.2, 6.9], [-0.1, -1.0], 0.5, 2.0], [False, [-1.2, 2.9, 6.2, 6.9]]], [[[4.7, -1.4, 7.7, -0.5], [4.2, -2.1, 7.9, -0.8], [-0.1, 0.5], 0.1, 1.0], [True, [4.5, -1.5, 7.8, 0.1]]]], [[[[3.7, -3.3, 4.2, -1.7], [2.7, -6.3, 5.2, -0.7], [-0.1, 0], 0.2, 1.0], [True, [3.4, -3.5, 4.4, -1.5]]], [[[3.4, 4.5, 4.9, 5.2], [2.8, 2.7, 5.5, 5.8], [0, 0.2], 0.1, 1.0], [True, [3.3, 4.4, 5.0, 5.5]]], [[[-2.2, 1.4, -1.4, 1.7], [-2.8, 0.8, -0.8, 2.3], [0.1, 0], 0.2, 1.0], [False, [-2.8, 0.8, -0.8, 2.3]]], [[[-0.6, 3.3, 0.2, 3.6], [-1.6, 2.3, 1.2, 4.6], [0.1, 0.2], 0.1, 1.0], [True, [-0.7, 3.2, 0.4, 3.9]]], [[[2.8, -2.1, 4.4, -0.1], [1.8, -5.1, 5.4, 0.9], [0.1, 0], 0.1, 1.0], [True, [2.7, -2.2, 4.6, 0.0]]], [[[-2.2, -4.2, -1.7, -3.8], [-2.8, -4.8, -1.1, -3.2], [0.1, 0.2], 0.1, 1.0], [True, [-2.3, -4.3, -1.5, -3.5]]], [[[-0.4, -4.2, 1.4, -2.3], [-1.4, -4.7, 2.4, -1.3], [0, 0], 0.2, 1.0], [False, [-1.4, -4.7, 2.4, -1.3]]], [[[2.7, 1.4, 3.6, 2.2], [2.1, 1.2, 4.2, 2.7], [0, 0.1], 0.1, 1.0], [False, [2.1, 1.2, 4.2, 2.7]]]], [[[[2.8, -3.9, 3.2, -2.7], [2.2, -4.5, 3.8, -2.1], [-0.1, 0], 0.2, 1.0], [False, [2.2, -4.5, 3.8, -2.1]]], [[[-4.3, -2.2, -3.8, -0.3], [-4.9, -2.8, -3.2, 0.3], [-0.1, 0.2], 0.1, 1.0], [False, [-4.9, -2.8, -3.2, 0.3]]], [[[-1.0, -3.3, 0.9, -2.4], [-3.0, -4.3, 2.9, -0.4], [0.1, 0], 0.1, 1.0], [True, [-1.1, -3.4, 1.1, -2.3]]], [[[-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]]], [[[3.4, 3.7, 4.3, 4.3], [3.1, 2.8, 4.6, 4.6], [0.1, 0], 0.1, 1.0], [False, [3.1, 2.8, 4.6, 4.6]]], [[[2.8, 0.8, 3.4, 3.6], [2.2, 0.7, 3.6, 4.2], [0.4, 0], 0.1, 4.0], [False, [2.2, 0.7, 3.6, 4.2]]], [[[-4.3, 2.1, -3.3, 3.0], [-6.3, 1.1, -1.3, 5.0], [0.1, 0], 0.1, 1.0], [True, [-4.4, 2.0, -3.1, 3.1]]], [[[1.3, -0.6, 2.3, 2.4], [0.7, 0.2, 2.1, 3.8], [0.4, -1.0], 0.2, 1.0], [True, [1.1, -1.8, 2.9, 2.6]]]], [[[[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]]], [[[-0.5, -4.5, 0.3, -2.9], [-1.1, -6.3, 0.9, -2.3], [0, 0], 0.1, 1.0], [True, [-0.6, -4.6, 0.4, -2.8]]], [[[3.4, -0.9, 4.4, -0.1], [2.4, -3.9, 5.4, 0.9], [0.1, 0], 0.1, 1.0], [True, [3.3, -1.0, 4.6, 0.0]]], [[[-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]]], [[[4.2, -2.1, 5.8, -1.3], [3.0, -3.3, 7.0, -0.9], [0, 0], 0.2, 2.0], [True, [4.0, -2.3, 6.0, -1.1]]], [[[1.1, -0.0, 1.6, 1.7], [-2.9, -4.0, 5.6, 5.7], [-0.1, 0.2], 0.2, 1.0], [True, [0.8, -0.2, 1.8, 2.1]]], [[[-1.1, -2.7, 0.3, -0.3], [-2.3, -1.9, -0.3, 0.9], [1.0, -1.0], 0.2, 1.0], [True, [-1.3, -3.9, 1.5, -0.1]]], [[[4.2, 3.7, 5.9, 4.3], [2.2, 1.7, 7.9, 6.3], [0.1, 0], 0.2, 1.0], [True, [4.0, 3.5, 6.2, 4.5]]]]]\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":"157d996266b05ee5341ce6caf27da4444cd29b7460cac78602bc2f189fdf6190","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 = [[[[[-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]]], [[[2.8, 1.5, 4.5, 2.1], [1.8, -1.5, 5.5, 3.1], [0, 0.2], 0.2, 1.0], [True, [2.6, 1.3, 4.7, 2.5]]], [[[-0.7, -1.6, 0.4, 0.6], [-3.8, -4.4, 0.8, 1.3], [0.1, -0.2], 0.5, 1.0], [False, [-3.8, -4.4, 0.8, 1.3]]], [[[1.1, 3.2, 3.9, 5.5], [-2.0, 2.2, 4.3, 8.0], [0.1, 0.5], 0.5, 2.0], [False, [-2.0, 2.2, 4.3, 8.0]]], [[[-2.1, 0.0, 0.0, 0.6], [-3.0, -3.1, 1.1, 1.5], [-0.1, 0.1], 0.5, 1.0], [False, [-3.0, -3.1, 1.1, 1.5]]], [[[-3.1, -3.3, -2.8, -1.4], [-5.1, -4.3, -0.8, 0.6], [-0.1, 0], 0.2, 1.0], [True, [-3.4, -3.5, -2.6, -1.2]]], [[[1.4, 2.3, 2.0, 5.3], [-1.5, 2.0, 2.6, 8.5], [-0.1, -0.2], 0.5, 4.0], [False, [-1.5, 2.0, 2.6, 8.5]]], [[[2.4, 1.1, 3.5, 2.9], [1.4, -1.9, 4.5, 3.9], [0.1, 0], 0.1, 1.0], [True, [2.3, 1.0, 3.7, 3.0]]]], [[[[4.1, 1.7, 4.6, 2.0], [3.8, 1.55, 4.9, 2.3], [0, 0], 0.1, 1.0], [False, [3.8, 1.55, 4.9, 2.3]]], [[[2.8, -0.7, 5.5, 2.0], [-0.3, -1.3, 8.4, 2.9], [0.1, 0.1], 0.5, 2.0], [False, [-0.3, -1.3, 8.4, 2.9]]], [[[-0.1, -4.2, 0.7, -2.8], [-2.1, -6.2, 2.7, -0.8], [0, 0], 0.1, 1.0], [True, [-0.2, -4.3, 0.8, -2.7]]], [[[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]]], [[[2.3, -1.1, 3.1, 1.6], [1.2, -2.8, 3.4, 1.3], [-0.1, 0.5], 0.2, 1.0], [True, [2.0, -1.3, 3.3, 2.3]]], [[[-2.0, 2.3, -1.0, 3.7], [-4.0, 1.3, 1.0, 5.7], [-0.1, 0], 0.1, 1.0], [True, [-2.2, 2.2, -0.9, 3.8]]], [[[1.7, 2.9, 3.1, 4.9], [-1.2, 2.9, 6.2, 6.9], [-0.1, -1.0], 0.5, 2.0], [False, [-1.2, 2.9, 6.2, 6.9]]], [[[4.7, -1.4, 7.7, -0.5], [4.2, -2.1, 7.9, -0.8], [-0.1, 0.5], 0.1, 1.0], [True, [4.5, -1.5, 7.8, 0.1]]]], [[[[3.7, -3.3, 4.2, -1.7], [2.7, -6.3, 5.2, -0.7], [-0.1, 0], 0.2, 1.0], [True, [3.4, -3.5, 4.4, -1.5]]], [[[3.4, 4.5, 4.9, 5.2], [2.8, 2.7, 5.5, 5.8], [0, 0.2], 0.1, 1.0], [True, [3.3, 4.4, 5.0, 5.5]]], [[[-2.2, 1.4, -1.4, 1.7], [-2.8, 0.8, -0.8, 2.3], [0.1, 0], 0.2, 1.0], [False, [-2.8, 0.8, -0.8, 2.3]]], [[[-0.6, 3.3, 0.2, 3.6], [-1.6, 2.3, 1.2, 4.6], [0.1, 0.2], 0.1, 1.0], [True, [-0.7, 3.2, 0.4, 3.9]]], [[[2.8, -2.1, 4.4, -0.1], [1.8, -5.1, 5.4, 0.9], [0.1, 0], 0.1, 1.0], [True, [2.7, -2.2, 4.6, 0.0]]], [[[-2.2, -4.2, -1.7, -3.8], [-2.8, -4.8, -1.1, -3.2], [0.1, 0.2], 0.1, 1.0], [True, [-2.3, -4.3, -1.5, -3.5]]], [[[-0.4, -4.2, 1.4, -2.3], [-1.4, -4.7, 2.4, -1.3], [0, 0], 0.2, 1.0], [False, [-1.4, -4.7, 2.4, -1.3]]], [[[2.7, 1.4, 3.6, 2.2], [2.1, 1.2, 4.2, 2.7], [0, 0.1], 0.1, 1.0], [False, [2.1, 1.2, 4.2, 2.7]]]], [[[[2.8, -3.9, 3.2, -2.7], [2.2, -4.5, 3.8, -2.1], [-0.1, 0], 0.2, 1.0], [False, [2.2, -4.5, 3.8, -2.1]]], [[[-4.3, -2.2, -3.8, -0.3], [-4.9, -2.8, -3.2, 0.3], [-0.1, 0.2], 0.1, 1.0], [False, [-4.9, -2.8, -3.2, 0.3]]], [[[-1.0, -3.3, 0.9, -2.4], [-3.0, -4.3, 2.9, -0.4], [0.1, 0], 0.1, 1.0], [True, [-1.1, -3.4, 1.1, -2.3]]], [[[-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]]], [[[3.4, 3.7, 4.3, 4.3], [3.1, 2.8, 4.6, 4.6], [0.1, 0], 0.1, 1.0], [False, [3.1, 2.8, 4.6, 4.6]]], [[[2.8, 0.8, 3.4, 3.6], [2.2, 0.7, 3.6, 4.2], [0.4, 0], 0.1, 4.0], [False, [2.2, 0.7, 3.6, 4.2]]], [[[-4.3, 2.1, -3.3, 3.0], [-6.3, 1.1, -1.3, 5.0], [0.1, 0], 0.1, 1.0], [True, [-4.4, 2.0, -3.1, 3.1]]], [[[1.3, -0.6, 2.3, 2.4], [0.7, 0.2, 2.1, 3.8], [0.4, -1.0], 0.2, 1.0], [True, [1.1, -1.8, 2.9, 2.6]]]], [[[[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]]], [[[-0.5, -4.5, 0.3, -2.9], [-1.1, -6.3, 0.9, -2.3], [0, 0], 0.1, 1.0], [True, [-0.6, -4.6, 0.4, -2.8]]], [[[3.4, -0.9, 4.4, -0.1], [2.4, -3.9, 5.4, 0.9], [0.1, 0], 0.1, 1.0], [True, [3.3, -1.0, 4.6, 0.0]]], [[[-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]]], [[[4.2, -2.1, 5.8, -1.3], [3.0, -3.3, 7.0, -0.9], [0, 0], 0.2, 2.0], [True, [4.0, -2.3, 6.0, -1.1]]], [[[1.1, -0.0, 1.6, 1.7], [-2.9, -4.0, 5.6, 5.7], [-0.1, 0.2], 0.2, 1.0], [True, [0.8, -0.2, 1.8, 2.1]]], [[[-1.1, -2.7, 0.3, -0.3], [-2.3, -1.9, -0.3, 0.9], [1.0, -1.0], 0.2, 1.0], [True, [-1.3, -3.9, 1.5, -0.1]]], [[[4.2, 3.7, 5.9, 4.3], [2.2, 1.7, 7.9, 6.3], [0.1, 0], 0.2, 1.0], [True, [4.0, 3.5, 6.2, 4.5]]]]]\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":"a36393680e05f4eb68c77243628b5f2a9f2f0c66dce8aaafa1f45484304a2802","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 = [[[[[-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]]], [[[2.8, 1.5, 4.5, 2.1], [1.8, -1.5, 5.5, 3.1], [0, 0.2], 0.2, 1.0], [True, [2.6, 1.3, 4.7, 2.5]]], [[[-0.7, -1.6, 0.4, 0.6], [-3.8, -4.4, 0.8, 1.3], [0.1, -0.2], 0.5, 1.0], [False, [-3.8, -4.4, 0.8, 1.3]]], [[[1.1, 3.2, 3.9, 5.5], [-2.0, 2.2, 4.3, 8.0], [0.1, 0.5], 0.5, 2.0], [False, [-2.0, 2.2, 4.3, 8.0]]], [[[-2.1, 0.0, 0.0, 0.6], [-3.0, -3.1, 1.1, 1.5], [-0.1, 0.1], 0.5, 1.0], [False, [-3.0, -3.1, 1.1, 1.5]]], [[[-3.1, -3.3, -2.8, -1.4], [-5.1, -4.3, -0.8, 0.6], [-0.1, 0], 0.2, 1.0], [True, [-3.4, -3.5, -2.6, -1.2]]], [[[1.4, 2.3, 2.0, 5.3], [-1.5, 2.0, 2.6, 8.5], [-0.1, -0.2], 0.5, 4.0], [False, [-1.5, 2.0, 2.6, 8.5]]], [[[2.4, 1.1, 3.5, 2.9], [1.4, -1.9, 4.5, 3.9], [0.1, 0], 0.1, 1.0], [True, [2.3, 1.0, 3.7, 3.0]]]], [[[[4.1, 1.7, 4.6, 2.0], [3.8, 1.55, 4.9, 2.3], [0, 0], 0.1, 1.0], [False, [3.8, 1.55, 4.9, 2.3]]], [[[2.8, -0.7, 5.5, 2.0], [-0.3, -1.3, 8.4, 2.9], [0.1, 0.1], 0.5, 2.0], [False, [-0.3, -1.3, 8.4, 2.9]]], [[[-0.1, -4.2, 0.7, -2.8], [-2.1, -6.2, 2.7, -0.8], [0, 0], 0.1, 1.0], [True, [-0.2, -4.3, 0.8, -2.7]]], [[[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]]], [[[2.3, -1.1, 3.1, 1.6], [1.2, -2.8, 3.4, 1.3], [-0.1, 0.5], 0.2, 1.0], [True, [2.0, -1.3, 3.3, 2.3]]], [[[-2.0, 2.3, -1.0, 3.7], [-4.0, 1.3, 1.0, 5.7], [-0.1, 0], 0.1, 1.0], [True, [-2.2, 2.2, -0.9, 3.8]]], [[[1.7, 2.9, 3.1, 4.9], [-1.2, 2.9, 6.2, 6.9], [-0.1, -1.0], 0.5, 2.0], [False, [-1.2, 2.9, 6.2, 6.9]]], [[[4.7, -1.4, 7.7, -0.5], [4.2, -2.1, 7.9, -0.8], [-0.1, 0.5], 0.1, 1.0], [True, [4.5, -1.5, 7.8, 0.1]]]], [[[[3.7, -3.3, 4.2, -1.7], [2.7, -6.3, 5.2, -0.7], [-0.1, 0], 0.2, 1.0], [True, [3.4, -3.5, 4.4, -1.5]]], [[[3.4, 4.5, 4.9, 5.2], [2.8, 2.7, 5.5, 5.8], [0, 0.2], 0.1, 1.0], [True, [3.3, 4.4, 5.0, 5.5]]], [[[-2.2, 1.4, -1.4, 1.7], [-2.8, 0.8, -0.8, 2.3], [0.1, 0], 0.2, 1.0], [False, [-2.8, 0.8, -0.8, 2.3]]], [[[-0.6, 3.3, 0.2, 3.6], [-1.6, 2.3, 1.2, 4.6], [0.1, 0.2], 0.1, 1.0], [True, [-0.7, 3.2, 0.4, 3.9]]], [[[2.8, -2.1, 4.4, -0.1], [1.8, -5.1, 5.4, 0.9], [0.1, 0], 0.1, 1.0], [True, [2.7, -2.2, 4.6, 0.0]]], [[[-2.2, -4.2, -1.7, -3.8], [-2.8, -4.8, -1.1, -3.2], [0.1, 0.2], 0.1, 1.0], [True, [-2.3, -4.3, -1.5, -3.5]]], [[[-0.4, -4.2, 1.4, -2.3], [-1.4, -4.7, 2.4, -1.3], [0, 0], 0.2, 1.0], [False, [-1.4, -4.7, 2.4, -1.3]]], [[[2.7, 1.4, 3.6, 2.2], [2.1, 1.2, 4.2, 2.7], [0, 0.1], 0.1, 1.0], [False, [2.1, 1.2, 4.2, 2.7]]]], [[[[2.8, -3.9, 3.2, -2.7], [2.2, -4.5, 3.8, -2.1], [-0.1, 0], 0.2, 1.0], [False, [2.2, -4.5, 3.8, -2.1]]], [[[-4.3, -2.2, -3.8, -0.3], [-4.9, -2.8, -3.2, 0.3], [-0.1, 0.2], 0.1, 1.0], [False, [-4.9, -2.8, -3.2, 0.3]]], [[[-1.0, -3.3, 0.9, -2.4], [-3.0, -4.3, 2.9, -0.4], [0.1, 0], 0.1, 1.0], [True, [-1.1, -3.4, 1.1, -2.3]]], [[[-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]]], [[[3.4, 3.7, 4.3, 4.3], [3.1, 2.8, 4.6, 4.6], [0.1, 0], 0.1, 1.0], [False, [3.1, 2.8, 4.6, 4.6]]], [[[2.8, 0.8, 3.4, 3.6], [2.2, 0.7, 3.6, 4.2], [0.4, 0], 0.1, 4.0], [False, [2.2, 0.7, 3.6, 4.2]]], [[[-4.3, 2.1, -3.3, 3.0], [-6.3, 1.1, -1.3, 5.0], [0.1, 0], 0.1, 1.0], [True, [-4.4, 2.0, -3.1, 3.1]]], [[[1.3, -0.6, 2.3, 2.4], [0.7, 0.2, 2.1, 3.8], [0.4, -1.0], 0.2, 1.0], [True, [1.1, -1.8, 2.9, 2.6]]]], [[[[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]]], [[[-0.5, -4.5, 0.3, -2.9], [-1.1, -6.3, 0.9, -2.3], [0, 0], 0.1, 1.0], [True, [-0.6, -4.6, 0.4, -2.8]]], [[[3.4, -0.9, 4.4, -0.1], [2.4, -3.9, 5.4, 0.9], [0.1, 0], 0.1, 1.0], [True, [3.3, -1.0, 4.6, 0.0]]], [[[-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]]], [[[4.2, -2.1, 5.8, -1.3], [3.0, -3.3, 7.0, -0.9], [0, 0], 0.2, 2.0], [True, [4.0, -2.3, 6.0, -1.1]]], [[[1.1, -0.0, 1.6, 1.7], [-2.9, -4.0, 5.6, 5.7], [-0.1, 0.2], 0.2, 1.0], [True, [0.8, -0.2, 1.8, 2.1]]], [[[-1.1, -2.7, 0.3, -0.3], [-2.3, -1.9, -0.3, 0.9], [1.0, -1.0], 0.2, 1.0], [True, [-1.3, -3.9, 1.5, -0.1]]], [[[4.2, 3.7, 5.9, 4.3], [2.2, 1.7, 7.9, 6.3], [0.1, 0], 0.2, 1.0], [True, [4.0, 3.5, 6.2, 4.5]]]]]\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-box-area-measure","generated_at":"2026-09-29T14:50:58.603034+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":"Area is width*height.","root_cause":"area() returns width+height.","sha256":"cf18dcd107ab2e225c81cc6108928e78edc7cc726bcb4d1fa425e6c5167ab29f","title":"Fat box size test uses half perimeter instead of area · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":42.074,"exit_code":1,"observations":[{"actual":[false,[-3.4,2.0,-0.3,3.3]],"check":"case 0","expected":[false,[-3.4,2.0,-0.3,3.3]],"passed":true},{"actual":[false,[1.8,-1.5,5.5,3.1]],"check":"case 1","expected":[true,[2.6,1.3,4.7,2.5]],"passed":false},{"actual":[true,[-1.2,-2.3,1.0,1.1]],"check":"case 2","expected":[false,[-3.8,-4.4,0.8,1.3]],"passed":false},{"actual":[false,[-2.0,2.2,4.3,8.0]],"check":"case 3","expected":[false,[-2.0,2.2,4.3,8.0]],"passed":true},{"actual":[false,[-3.0,-3.1,1.1,1.5]],"check":"case 4","expected":[false,[-3.0,-3.1,1.1,1.5]],"passed":true},{"actual":[true,[-3.4,-3.5,-2.6,-1.2]],"check":"case 5","expected":[true,[-3.4,-3.5,-2.6,-1.2]],"passed":true},{"actual":[true,[0.5,1.0,2.5,5.8]],"check":"case 6","expected":[false,[-1.5,2.0,2.6,8.5]],"passed":false},{"actual":[true,[2.3,1.0,3.7,3.0]],"check":"case 7","expected":[true,[2.3,1.0,3.7,3.0]],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [false, [-3.4, 2.0, -0.3, 3.3]], \"expected\": [false, [-3.4, 2.0, -0.3, 3.3]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [false, [1.8, -1.5, 5.5, 3.1]], \"expected\": [true, [2.6, 1.3, 4.7, 2.5]], \"passed\": false}, {\"check\": \"case 2\", \"actual\": [true, [-1.2, -2.3, 1.0, 1.1]], \"expected\": [false, [-3.8, -4.4, 0.8, 1.3]], \"passed\": false}, {\"check\": \"case 3\", \"actual\": [false, [-2.0, 2.2, 4.3, 8.0]], \"expected\": [false, [-2.0, 2.2, 4.3, 8.0]], \"passed\": true}, {\"check\": \"case 4\", \"actual\": [false, [-3.0, -3.1, 1.1, 1.5]], \"expected\": [false, [-3.0, -3.1, 1.1, 1.5]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [true, [-3.4, -3.5, -2.6, -1.2]], \"expected\": [true, [-3.4, -3.5, -2.6, -1.2]], \"passed\": true}, {\"check\": \"case 6\", \"actual\": [true, [0.5, 1.0, 2.5, 5.8]], \"expected\": [false, [-1.5, 2.0, 2.6, 8.5]], \"passed\": false}, {\"check\": \"case 7\", \"actual\": [true, [2.3, 1.0, 3.7, 3.0]], \"expected\": [true, [2.3, 1.0, 3.7, 3.0]], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":39.047,"exit_code":1,"observations":[{"actual":[false,[-3.4,2.0,-0.3,3.3]],"check":"case 0","expected":[false,[-3.4,2.0,-0.3,3.3]],"passed":true},{"actual":[false,[1.8,-1.5,5.5,3.1]],"check":"case 1","expected":[true,[2.6,1.3,4.7,2.5]],"passed":false},{"actual":[false,[-3.8,-4.4,0.8,1.3]],"check":"case 2","expected":[false,[-3.8,-4.4,0.8,1.3]],"passed":true},{"actual":[false,[-2.0,2.2,4.3,8.0]],"check":"case 3","expected":[false,[-2.0,2.2,4.3,8.0]],"passed":true},{"actual":[false,[-3.0,-3.1,1.1,1.5]],"check":"case 4","expected":[false,[-3.0,-3.1,1.1,1.5]],"passed":true},{"actual":[false,[-5.1,-4.3,-0.8,0.6]],"check":"case 5","expected":[true,[-3.4,-3.5,-2.6,-1.2]],"passed":false},{"actual":[false,[-1.5,2.0,2.6,8.5]],"check":"case 6","expected":[false,[-1.5,2.0,2.6,8.5]],"passed":true},{"actual":[false,[1.4,-1.9,4.5,3.9]],"check":"case 7","expected":[true,[2.3,1.0,3.7,3.0]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [false, [-3.4, 2.0, -0.3, 3.3]], \"expected\": [false, [-3.4, 2.0, -0.3, 3.3]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [false, [1.8, -1.5, 5.5, 3.1]], \"expected\": [true, [2.6, 1.3, 4.7, 2.5]], \"passed\": false}, {\"check\": \"case 2\", \"actual\": [false, [-3.8, -4.4, 0.8, 1.3]], \"expected\": [false, [-3.8, -4.4, 0.8, 1.3]], \"passed\": true}, {\"check\": \"case 3\", \"actual\": [false, [-2.0, 2.2, 4.3, 8.0]], \"expected\": [false, [-2.0, 2.2, 4.3, 8.0]], \"passed\": true}, {\"check\": \"case 4\", \"actual\": [false, [-3.0, -3.1, 1.1, 1.5]], \"expected\": [false, [-3.0, -3.1, 1.1, 1.5]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [false, [-5.1, -4.3, -0.8, 0.6]], \"expected\": [true, [-3.4, -3.5, -2.6, -1.2]], \"passed\": false}, {\"check\": \"case 6\", \"actual\": [false, [-1.5, 2.0, 2.6, 8.5]], \"expected\": [false, [-1.5, 2.0, 2.6, 8.5]], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [false, [1.4, -1.9, 4.5, 3.9]], \"expected\": [true, [2.3, 1.0, 3.7, 3.0]], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":43.527,"exit_code":0,"observations":[{"actual":[false,[-3.4,2.0,-0.3,3.3]],"check":"case 0","expected":[false,[-3.4,2.0,-0.3,3.3]],"passed":true},{"actual":[true,[2.6,1.3,4.7,2.5]],"check":"case 1","expected":[true,[2.6,1.3,4.7,2.5]],"passed":true},{"actual":[false,[-3.8,-4.4,0.8,1.3]],"check":"case 2","expected":[false,[-3.8,-4.4,0.8,1.3]],"passed":true},{"actual":[false,[-2.0,2.2,4.3,8.0]],"check":"case 3","expected":[false,[-2.0,2.2,4.3,8.0]],"passed":true},{"actual":[false,[-3.0,-3.1,1.1,1.5]],"check":"case 4","expected":[false,[-3.0,-3.1,1.1,1.5]],"passed":true},{"actual":[true,[-3.4,-3.5,-2.6,-1.2]],"check":"case 5","expected":[true,[-3.4,-3.5,-2.6,-1.2]],"passed":true},{"actual":[false,[-1.5,2.0,2.6,8.5]],"check":"case 6","expected":[false,[-1.5,2.0,2.6,8.5]],"passed":true},{"actual":[true,[2.3,1.0,3.7,3.0]],"check":"case 7","expected":[true,[2.3,1.0,3.7,3.0]],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [false, [-3.4, 2.0, -0.3, 3.3]], \"expected\": [false, [-3.4, 2.0, -0.3, 3.3]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [true, [2.6, 1.3, 4.7, 2.5]], \"expected\": [true, [2.6, 1.3, 4.7, 2.5]], \"passed\": true}, {\"check\": \"case 2\", \"actual\": [false, [-3.8, -4.4, 0.8, 1.3]], \"expected\": [false, [-3.8, -4.4, 0.8, 1.3]], \"passed\": true}, {\"check\": \"case 3\", \"actual\": [false, [-2.0, 2.2, 4.3, 8.0]], \"expected\": [false, [-2.0, 2.2, 4.3, 8.0]], \"passed\": true}, {\"check\": \"case 4\", \"actual\": [false, [-3.0, -3.1, 1.1, 1.5]], \"expected\": [false, [-3.0, -3.1, 1.1, 1.5]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [true, [-3.4, -3.5, -2.6, -1.2]], \"expected\": [true, [-3.4, -3.5, -2.6, -1.2]], \"passed\": true}, {\"check\": \"case 6\", \"actual\": [false, [-1.5, 2.0, 2.6, 8.5]], \"expected\": [false, [-1.5, 2.0, 2.6, 8.5]], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [true, [2.3, 1.0, 3.7, 3.0]], \"expected\": [true, [2.3, 1.0, 3.7, 3.0]], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}