{"abstract":"Falling bodies escape their fat boxes while sideways movers are fine.","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":"Using |dy| always extends upward even for falling bodies.","family":"w2-collision_detection_broadphase-fat-aabb-reinsert-vertical-displacement-multiplier","id":"FA-87406","implementations":{"attempt":{"sha256":"423448e8f02c7e0741bc869ad9a5c49427e519c9e09da38f2887078815194acf","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 * abs(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, 1.2, 3.8, 3.0], [2.3, -0.6, 4.4, 3.6], [0, 0.2], 0.2, 1.0], [False, [2.3, -0.6, 4.4, 3.6]]], [[[-0.2, 3.1, 0.3, 5.0], [-0.2, 3.5, 1.0, 6.2], [-0.1, -1.0], 0.1, 1.0], [True, [-0.4, 2.0, 0.4, 5.1]]], [[[-0.8, -0.6, 0.7, 0.8], [-1.3, -0.2, 0.4, 2.4], [0.4, -1.0], 0.1, 4.0], [True, [-0.9, -4.7, 2.4, 0.9]]], [[[-0.2, 2.0, 0.5, 3.9], [0.2, 2.0, 1.7, 4.7], [-0.6, -0.2], 0.1, 4.0], [True, [-2.7, 1.1, 0.6, 4.0]]], [[[-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]]], [[[-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]]], [[[5.8, 0.1, 8.4, 1.9], [4.6, 0.1, 7.6, 2.7], [1.0, -0.2], 0.1, 2.0], [True, [5.7, -0.4, 10.5, 2.0]]], [[[4.9, -4.6, 7.8, -3.4], [2.7, -4.0, 8.0, -1.2], [1.0, -1.0], 0.2, 2.0], [True, [4.7, -6.8, 10.0, -3.2]]]], [[[[-0.5, 3.7, 1.1, 4.6], [-1.3, 2.8, 1.9, 4.5], [0.4, 0.5], 0.2, 2.0], [True, [-0.7, 3.5, 2.1, 5.8]]], [[[4.0, 4.4, 6.7, 6.2], [3.1, 3.4, 6.8, 7.2], [0.4, 0], 0.5, 4.0], [False, [3.1, 3.4, 6.8, 7.2]]], [[[0.7, -1.0, 2.4, 1.6], [-1.3, -4.5, 1.9, 1.6], [1.0, 0.5], 0.5, 2.0], [True, [0.2, -1.5, 4.9, 3.1]]], [[[4.7, 3.5, 7.0, 4.8], [3.6, 4.4, 6.1, 5.9], [1.0, -1.0], 0.1, 4.0], [True, [4.6, -0.6, 11.1, 4.9]]], [[[-0.9, 5.1, 0.5, 6.7], [-0.5, 4.6, 2.3, 7.0], [-0.6, 0.1], 0.2, 1.0], [True, [-1.7, 4.9, 0.7, 7.0]]], [[[2.6, 1.8, 5.1, 3.0], [1.0, 2.6, 4.9, 4.4], [0.4, -1.0], 0.2, 1.0], [True, [2.4, 0.6, 5.7, 3.2]]], [[[-4.9, -1.4, -3.2, -0.2], [-5.5, -2.0, -2.6, 0.4], [0.1, 0.2], 0.1, 1.0], [False, [-5.5, -2.0, -2.6, 0.4]]], [[[-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]]]], [[[[-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]]], [[[-0.2, -4.9, 2.2, -3.1], [-1.1, -4.4, 2.3, -1.6], [0.4, -1.0], 0.5, 2.0], [True, [-0.7, -7.4, 3.5, -2.6]]], [[[-2.3, 2.6, -1.4, 5.5], [-2.3, 3.0, -1.1, 6.6], [-0.1, -1.0], 0.1, 2.0], [True, [-2.6, 0.5, -1.3, 5.6]]], [[[1.8, 3.1, 3.1, 4.4], [-0.2, 2.0, 2.6, 5.3], [1.0, 0.1], 0.5, 2.0], [True, [1.3, 2.6, 5.6, 5.1]]], [[[1.7, -4.0, 2.2, -2.8], [0.6, -3.4, 2.5, -1.4], [-0.1, -1.0], 0.2, 2.0], [True, [1.3, -6.2, 2.4, -2.6]]], [[[-0.9, 0.5, 1.8, 2.4], [-1.9, -0.1, 1.5, 3.0], [0.4, 0], 0.1, 2.0], [True, [-1.0, 0.4, 2.7, 2.5]]], [[[-1.9, -1.2, -1.2, 0.1], [-2.2, -1.5, -0.9, 0.4], [0, 0.2], 0.1, 1.0], [False, [-2.2, -1.5, -0.9, 0.4]]], [[[-1.4, -5.6, -0.3, -2.6], [-1.0, -5.2, 0.9, -1.0], [-0.6, -1.0], 0.1, 4.0], [True, [-3.9, -9.7, -0.2, -2.5]]]], [[[[-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, -3.5, -0.3, -1.7], [-2.0, -3.7, -1.2, -1.6], [1.0, 0.1], 0.1, 4.0], [True, [-1.0, -3.6, 3.8, -1.2]]], [[[3.1, -0.7, 3.8, 1.2], [2.5, 0.1, 4.0, 2.3], [0.4, -1.0], 0.1, 4.0], [True, [3.0, -4.8, 5.5, 1.3]]], [[[3.6, 3.1, 6.4, 5.1], [2.5, 3.1, 5.6, 5.9], [1.0, -0.2], 0.1, 4.0], [True, [3.5, 2.2, 10.5, 5.2]]], [[[1.8, 4.2, 3.2, 4.7], [2.2, 4.0, 4.2, 5.9], [-0.6, 0], 0.2, 1.0], [True, [1.0, 4.0, 3.4, 4.9]]], [[[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]]], [[[3.7, 1.6, 4.9, 2.3], [3.4, 1.45, 5.2, 2.6], [0, 0], 0.1, 1.0], [False, [3.4, 1.45, 5.2, 2.6]]], [[[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]]]], [[[[0.9, 1.5, 3.5, 4.2], [-1.3, 0.6, 2.9, 4.9], [1.0, 0.5], 0.2, 1.0], [True, [0.7, 1.3, 4.7, 4.9]]], [[[2.3, -3.0, 3.5, -2.7], [2.0, -3.3, 3.8, -2.4], [0.1, 0.2], 0.2, 1.0], [False, [2.0, -3.3, 3.8, -2.4]]], [[[-0.7, 1.5, 0.8, 2.2], [-0.3, 2.3, 1.6, 3.6], [-0.6, -1.0], 0.2, 1.0], [True, [-1.5, 0.3, 1.0, 2.4]]], [[[2.1, -0.9, 3.5, 1.2], [2.6, -1.1, 4.7, 1.7], [-0.6, 0.1], 0.1, 4.0], [True, [-0.4, -1.0, 3.6, 1.7]]], [[[1.7, -1.4, 3.5, 0.7], [-1.2, -0.9, 4.1, 2.2], [-0.1, -1.0], 0.5, 4.0], [True, [0.8, -5.9, 4.0, 1.2]]], [[[-0.9, -0.3, 0.4, 2.2], [-1.5, -1.3, 1.3, 4.7], [0.1, 0.5], 0.5, 1.0], [False, [-1.5, -1.3, 1.3, 4.7]]], [[[5.4, -0.5, 6.0, 0.4], [4.8, 0.4, 6.2, 1.5], [0.4, -1.0], 0.1, 4.0], [True, [5.3, -4.6, 7.7, 0.5]]], [[[0.3, -2.3, 2.4, -1.5], [-1.1, -3.6, 1.6, -1.2], [1.0, 0.1], 0.2, 4.0], [True, [0.1, -2.5, 6.6, -0.9]]]]]\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":"ff516d0549cb904f4a336656632f99c922f0fb8b57d679b3ce3348a36f308774","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], 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, 1.2, 3.8, 3.0], [2.3, -0.6, 4.4, 3.6], [0, 0.2], 0.2, 1.0], [False, [2.3, -0.6, 4.4, 3.6]]], [[[-0.2, 3.1, 0.3, 5.0], [-0.2, 3.5, 1.0, 6.2], [-0.1, -1.0], 0.1, 1.0], [True, [-0.4, 2.0, 0.4, 5.1]]], [[[-0.8, -0.6, 0.7, 0.8], [-1.3, -0.2, 0.4, 2.4], [0.4, -1.0], 0.1, 4.0], [True, [-0.9, -4.7, 2.4, 0.9]]], [[[-0.2, 2.0, 0.5, 3.9], [0.2, 2.0, 1.7, 4.7], [-0.6, -0.2], 0.1, 4.0], [True, [-2.7, 1.1, 0.6, 4.0]]], [[[-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]]], [[[-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]]], [[[5.8, 0.1, 8.4, 1.9], [4.6, 0.1, 7.6, 2.7], [1.0, -0.2], 0.1, 2.0], [True, [5.7, -0.4, 10.5, 2.0]]], [[[4.9, -4.6, 7.8, -3.4], [2.7, -4.0, 8.0, -1.2], [1.0, -1.0], 0.2, 2.0], [True, [4.7, -6.8, 10.0, -3.2]]]], [[[[-0.5, 3.7, 1.1, 4.6], [-1.3, 2.8, 1.9, 4.5], [0.4, 0.5], 0.2, 2.0], [True, [-0.7, 3.5, 2.1, 5.8]]], [[[4.0, 4.4, 6.7, 6.2], [3.1, 3.4, 6.8, 7.2], [0.4, 0], 0.5, 4.0], [False, [3.1, 3.4, 6.8, 7.2]]], [[[0.7, -1.0, 2.4, 1.6], [-1.3, -4.5, 1.9, 1.6], [1.0, 0.5], 0.5, 2.0], [True, [0.2, -1.5, 4.9, 3.1]]], [[[4.7, 3.5, 7.0, 4.8], [3.6, 4.4, 6.1, 5.9], [1.0, -1.0], 0.1, 4.0], [True, [4.6, -0.6, 11.1, 4.9]]], [[[-0.9, 5.1, 0.5, 6.7], [-0.5, 4.6, 2.3, 7.0], [-0.6, 0.1], 0.2, 1.0], [True, [-1.7, 4.9, 0.7, 7.0]]], [[[2.6, 1.8, 5.1, 3.0], [1.0, 2.6, 4.9, 4.4], [0.4, -1.0], 0.2, 1.0], [True, [2.4, 0.6, 5.7, 3.2]]], [[[-4.9, -1.4, -3.2, -0.2], [-5.5, -2.0, -2.6, 0.4], [0.1, 0.2], 0.1, 1.0], [False, [-5.5, -2.0, -2.6, 0.4]]], [[[-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]]]], [[[[-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]]], [[[-0.2, -4.9, 2.2, -3.1], [-1.1, -4.4, 2.3, -1.6], [0.4, -1.0], 0.5, 2.0], [True, [-0.7, -7.4, 3.5, -2.6]]], [[[-2.3, 2.6, -1.4, 5.5], [-2.3, 3.0, -1.1, 6.6], [-0.1, -1.0], 0.1, 2.0], [True, [-2.6, 0.5, -1.3, 5.6]]], [[[1.8, 3.1, 3.1, 4.4], [-0.2, 2.0, 2.6, 5.3], [1.0, 0.1], 0.5, 2.0], [True, [1.3, 2.6, 5.6, 5.1]]], [[[1.7, -4.0, 2.2, -2.8], [0.6, -3.4, 2.5, -1.4], [-0.1, -1.0], 0.2, 2.0], [True, [1.3, -6.2, 2.4, -2.6]]], [[[-0.9, 0.5, 1.8, 2.4], [-1.9, -0.1, 1.5, 3.0], [0.4, 0], 0.1, 2.0], [True, [-1.0, 0.4, 2.7, 2.5]]], [[[-1.9, -1.2, -1.2, 0.1], [-2.2, -1.5, -0.9, 0.4], [0, 0.2], 0.1, 1.0], [False, [-2.2, -1.5, -0.9, 0.4]]], [[[-1.4, -5.6, -0.3, -2.6], [-1.0, -5.2, 0.9, -1.0], [-0.6, -1.0], 0.1, 4.0], [True, [-3.9, -9.7, -0.2, -2.5]]]], [[[[-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, -3.5, -0.3, -1.7], [-2.0, -3.7, -1.2, -1.6], [1.0, 0.1], 0.1, 4.0], [True, [-1.0, -3.6, 3.8, -1.2]]], [[[3.1, -0.7, 3.8, 1.2], [2.5, 0.1, 4.0, 2.3], [0.4, -1.0], 0.1, 4.0], [True, [3.0, -4.8, 5.5, 1.3]]], [[[3.6, 3.1, 6.4, 5.1], [2.5, 3.1, 5.6, 5.9], [1.0, -0.2], 0.1, 4.0], [True, [3.5, 2.2, 10.5, 5.2]]], [[[1.8, 4.2, 3.2, 4.7], [2.2, 4.0, 4.2, 5.9], [-0.6, 0], 0.2, 1.0], [True, [1.0, 4.0, 3.4, 4.9]]], [[[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]]], [[[3.7, 1.6, 4.9, 2.3], [3.4, 1.45, 5.2, 2.6], [0, 0], 0.1, 1.0], [False, [3.4, 1.45, 5.2, 2.6]]], [[[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]]]], [[[[0.9, 1.5, 3.5, 4.2], [-1.3, 0.6, 2.9, 4.9], [1.0, 0.5], 0.2, 1.0], [True, [0.7, 1.3, 4.7, 4.9]]], [[[2.3, -3.0, 3.5, -2.7], [2.0, -3.3, 3.8, -2.4], [0.1, 0.2], 0.2, 1.0], [False, [2.0, -3.3, 3.8, -2.4]]], [[[-0.7, 1.5, 0.8, 2.2], [-0.3, 2.3, 1.6, 3.6], [-0.6, -1.0], 0.2, 1.0], [True, [-1.5, 0.3, 1.0, 2.4]]], [[[2.1, -0.9, 3.5, 1.2], [2.6, -1.1, 4.7, 1.7], [-0.6, 0.1], 0.1, 4.0], [True, [-0.4, -1.0, 3.6, 1.7]]], [[[1.7, -1.4, 3.5, 0.7], [-1.2, -0.9, 4.1, 2.2], [-0.1, -1.0], 0.5, 4.0], [True, [0.8, -5.9, 4.0, 1.2]]], [[[-0.9, -0.3, 0.4, 2.2], [-1.5, -1.3, 1.3, 4.7], [0.1, 0.5], 0.5, 1.0], [False, [-1.5, -1.3, 1.3, 4.7]]], [[[5.4, -0.5, 6.0, 0.4], [4.8, 0.4, 6.2, 1.5], [0.4, -1.0], 0.1, 4.0], [True, [5.3, -4.6, 7.7, 0.5]]], [[[0.3, -2.3, 2.4, -1.5], [-1.1, -3.6, 1.6, -1.2], [1.0, 0.1], 0.2, 4.0], [True, [0.1, -2.5, 6.6, -0.9]]]]]\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":"5bbce8743987d3358bafb262af1258fb9cebd59c059a0b9c18d9a279a400eaeb","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, 1.2, 3.8, 3.0], [2.3, -0.6, 4.4, 3.6], [0, 0.2], 0.2, 1.0], [False, [2.3, -0.6, 4.4, 3.6]]], [[[-0.2, 3.1, 0.3, 5.0], [-0.2, 3.5, 1.0, 6.2], [-0.1, -1.0], 0.1, 1.0], [True, [-0.4, 2.0, 0.4, 5.1]]], [[[-0.8, -0.6, 0.7, 0.8], [-1.3, -0.2, 0.4, 2.4], [0.4, -1.0], 0.1, 4.0], [True, [-0.9, -4.7, 2.4, 0.9]]], [[[-0.2, 2.0, 0.5, 3.9], [0.2, 2.0, 1.7, 4.7], [-0.6, -0.2], 0.1, 4.0], [True, [-2.7, 1.1, 0.6, 4.0]]], [[[-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]]], [[[-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]]], [[[5.8, 0.1, 8.4, 1.9], [4.6, 0.1, 7.6, 2.7], [1.0, -0.2], 0.1, 2.0], [True, [5.7, -0.4, 10.5, 2.0]]], [[[4.9, -4.6, 7.8, -3.4], [2.7, -4.0, 8.0, -1.2], [1.0, -1.0], 0.2, 2.0], [True, [4.7, -6.8, 10.0, -3.2]]]], [[[[-0.5, 3.7, 1.1, 4.6], [-1.3, 2.8, 1.9, 4.5], [0.4, 0.5], 0.2, 2.0], [True, [-0.7, 3.5, 2.1, 5.8]]], [[[4.0, 4.4, 6.7, 6.2], [3.1, 3.4, 6.8, 7.2], [0.4, 0], 0.5, 4.0], [False, [3.1, 3.4, 6.8, 7.2]]], [[[0.7, -1.0, 2.4, 1.6], [-1.3, -4.5, 1.9, 1.6], [1.0, 0.5], 0.5, 2.0], [True, [0.2, -1.5, 4.9, 3.1]]], [[[4.7, 3.5, 7.0, 4.8], [3.6, 4.4, 6.1, 5.9], [1.0, -1.0], 0.1, 4.0], [True, [4.6, -0.6, 11.1, 4.9]]], [[[-0.9, 5.1, 0.5, 6.7], [-0.5, 4.6, 2.3, 7.0], [-0.6, 0.1], 0.2, 1.0], [True, [-1.7, 4.9, 0.7, 7.0]]], [[[2.6, 1.8, 5.1, 3.0], [1.0, 2.6, 4.9, 4.4], [0.4, -1.0], 0.2, 1.0], [True, [2.4, 0.6, 5.7, 3.2]]], [[[-4.9, -1.4, -3.2, -0.2], [-5.5, -2.0, -2.6, 0.4], [0.1, 0.2], 0.1, 1.0], [False, [-5.5, -2.0, -2.6, 0.4]]], [[[-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]]]], [[[[-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]]], [[[-0.2, -4.9, 2.2, -3.1], [-1.1, -4.4, 2.3, -1.6], [0.4, -1.0], 0.5, 2.0], [True, [-0.7, -7.4, 3.5, -2.6]]], [[[-2.3, 2.6, -1.4, 5.5], [-2.3, 3.0, -1.1, 6.6], [-0.1, -1.0], 0.1, 2.0], [True, [-2.6, 0.5, -1.3, 5.6]]], [[[1.8, 3.1, 3.1, 4.4], [-0.2, 2.0, 2.6, 5.3], [1.0, 0.1], 0.5, 2.0], [True, [1.3, 2.6, 5.6, 5.1]]], [[[1.7, -4.0, 2.2, -2.8], [0.6, -3.4, 2.5, -1.4], [-0.1, -1.0], 0.2, 2.0], [True, [1.3, -6.2, 2.4, -2.6]]], [[[-0.9, 0.5, 1.8, 2.4], [-1.9, -0.1, 1.5, 3.0], [0.4, 0], 0.1, 2.0], [True, [-1.0, 0.4, 2.7, 2.5]]], [[[-1.9, -1.2, -1.2, 0.1], [-2.2, -1.5, -0.9, 0.4], [0, 0.2], 0.1, 1.0], [False, [-2.2, -1.5, -0.9, 0.4]]], [[[-1.4, -5.6, -0.3, -2.6], [-1.0, -5.2, 0.9, -1.0], [-0.6, -1.0], 0.1, 4.0], [True, [-3.9, -9.7, -0.2, -2.5]]]], [[[[-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, -3.5, -0.3, -1.7], [-2.0, -3.7, -1.2, -1.6], [1.0, 0.1], 0.1, 4.0], [True, [-1.0, -3.6, 3.8, -1.2]]], [[[3.1, -0.7, 3.8, 1.2], [2.5, 0.1, 4.0, 2.3], [0.4, -1.0], 0.1, 4.0], [True, [3.0, -4.8, 5.5, 1.3]]], [[[3.6, 3.1, 6.4, 5.1], [2.5, 3.1, 5.6, 5.9], [1.0, -0.2], 0.1, 4.0], [True, [3.5, 2.2, 10.5, 5.2]]], [[[1.8, 4.2, 3.2, 4.7], [2.2, 4.0, 4.2, 5.9], [-0.6, 0], 0.2, 1.0], [True, [1.0, 4.0, 3.4, 4.9]]], [[[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]]], [[[3.7, 1.6, 4.9, 2.3], [3.4, 1.45, 5.2, 2.6], [0, 0], 0.1, 1.0], [False, [3.4, 1.45, 5.2, 2.6]]], [[[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]]]], [[[[0.9, 1.5, 3.5, 4.2], [-1.3, 0.6, 2.9, 4.9], [1.0, 0.5], 0.2, 1.0], [True, [0.7, 1.3, 4.7, 4.9]]], [[[2.3, -3.0, 3.5, -2.7], [2.0, -3.3, 3.8, -2.4], [0.1, 0.2], 0.2, 1.0], [False, [2.0, -3.3, 3.8, -2.4]]], [[[-0.7, 1.5, 0.8, 2.2], [-0.3, 2.3, 1.6, 3.6], [-0.6, -1.0], 0.2, 1.0], [True, [-1.5, 0.3, 1.0, 2.4]]], [[[2.1, -0.9, 3.5, 1.2], [2.6, -1.1, 4.7, 1.7], [-0.6, 0.1], 0.1, 4.0], [True, [-0.4, -1.0, 3.6, 1.7]]], [[[1.7, -1.4, 3.5, 0.7], [-1.2, -0.9, 4.1, 2.2], [-0.1, -1.0], 0.5, 4.0], [True, [0.8, -5.9, 4.0, 1.2]]], [[[-0.9, -0.3, 0.4, 2.2], [-1.5, -1.3, 1.3, 4.7], [0.1, 0.5], 0.5, 1.0], [False, [-1.5, -1.3, 1.3, 4.7]]], [[[5.4, -0.5, 6.0, 0.4], [4.8, 0.4, 6.2, 1.5], [0.4, -1.0], 0.1, 4.0], [True, [5.3, -4.6, 7.7, 0.5]]], [[[0.3, -2.3, 2.4, -1.5], [-1.1, -3.6, 1.6, -1.2], [1.0, 0.1], 0.2, 4.0], [True, [0.1, -2.5, 6.6, -0.9]]]]]\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-vertical-displacement-multiplier","generated_at":"2026-09-29T14:50:58.512829+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":"Scale both displacement components by mult.","root_cause":"dy uses the raw displacement.","sha256":"3f732d971cdd05a7f07c122d02b833d61b1d7c1a00a4d2bfc0b992cb0de8d25f","title":"Displacement multiplier is applied to x only · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":41.407,"exit_code":1,"observations":[{"actual":[false,[2.3,-0.6,4.4,3.6]],"check":"case 0","expected":[false,[2.3,-0.6,4.4,3.6]],"passed":true},{"actual":[true,[-0.4,3.0,0.4,6.1]],"check":"case 1","expected":[true,[-0.4,2.0,0.4,5.1]],"passed":false},{"actual":[true,[-0.9,-0.7,2.4,4.9]],"check":"case 2","expected":[true,[-0.9,-4.7,2.4,0.9]],"passed":false},{"actual":[true,[-2.7,1.9,0.6,4.8]],"check":"case 3","expected":[true,[-2.7,1.1,0.6,4.0]],"passed":false},{"actual":[false,[-1.8,-4.0,-0.3,-0.7]],"check":"case 4","expected":[false,[-1.8,-4.0,-0.3,-0.7]],"passed":true},{"actual":[false,[-3.0,-3.1,1.1,1.5]],"check":"case 5","expected":[false,[-3.0,-3.1,1.1,1.5]],"passed":true},{"actual":[true,[5.7,0.0,10.5,2.4]],"check":"case 6","expected":[true,[5.7,-0.4,10.5,2.0]],"passed":false},{"actual":[true,[4.7,-4.8,10.0,-1.2]],"check":"case 7","expected":[true,[4.7,-6.8,10.0,-3.2]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [false, [2.3, -0.6, 4.4, 3.6]], \"expected\": [false, [2.3, -0.6, 4.4, 3.6]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [true, [-0.4, 3.0, 0.4, 6.1]], \"expected\": [true, [-0.4, 2.0, 0.4, 5.1]], \"passed\": false}, {\"check\": \"case 2\", \"actual\": [true, [-0.9, -0.7, 2.4, 4.9]], \"expected\": [true, [-0.9, -4.7, 2.4, 0.9]], \"passed\": false}, {\"check\": \"case 3\", \"actual\": [true, [-2.7, 1.9, 0.6, 4.8]], \"expected\": [true, [-2.7, 1.1, 0.6, 4.0]], \"passed\": false}, {\"check\": \"case 4\", \"actual\": [false, [-1.8, -4.0, -0.3, -0.7]], \"expected\": [false, [-1.8, -4.0, -0.3, -0.7]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [false, [-3.0, -3.1, 1.1, 1.5]], \"expected\": [false, [-3.0, -3.1, 1.1, 1.5]], \"passed\": true}, {\"check\": \"case 6\", \"actual\": [true, [5.7, 0.0, 10.5, 2.4]], \"expected\": [true, [5.7, -0.4, 10.5, 2.0]], \"passed\": false}, {\"check\": \"case 7\", \"actual\": [true, [4.7, -4.8, 10.0, -1.2]], \"expected\": [true, [4.7, -6.8, 10.0, -3.2]], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":40.214,"exit_code":1,"observations":[{"actual":[false,[2.3,-0.6,4.4,3.6]],"check":"case 0","expected":[false,[2.3,-0.6,4.4,3.6]],"passed":true},{"actual":[true,[-0.4,2.0,0.4,5.1]],"check":"case 1","expected":[true,[-0.4,2.0,0.4,5.1]],"passed":true},{"actual":[true,[-0.9,-1.7,2.4,0.9]],"check":"case 2","expected":[true,[-0.9,-4.7,2.4,0.9]],"passed":false},{"actual":[true,[-2.7,1.7,0.6,4.0]],"check":"case 3","expected":[true,[-2.7,1.1,0.6,4.0]],"passed":false},{"actual":[false,[-1.8,-4.0,-0.3,-0.7]],"check":"case 4","expected":[false,[-1.8,-4.0,-0.3,-0.7]],"passed":true},{"actual":[false,[-3.0,-3.1,1.1,1.5]],"check":"case 5","expected":[false,[-3.0,-3.1,1.1,1.5]],"passed":true},{"actual":[true,[5.7,-0.2,10.5,2.0]],"check":"case 6","expected":[true,[5.7,-0.4,10.5,2.0]],"passed":false},{"actual":[true,[4.7,-5.8,10.0,-3.2]],"check":"case 7","expected":[true,[4.7,-6.8,10.0,-3.2]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [false, [2.3, -0.6, 4.4, 3.6]], \"expected\": [false, [2.3, -0.6, 4.4, 3.6]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [true, [-0.4, 2.0, 0.4, 5.1]], \"expected\": [true, [-0.4, 2.0, 0.4, 5.1]], \"passed\": true}, {\"check\": \"case 2\", \"actual\": [true, [-0.9, -1.7, 2.4, 0.9]], \"expected\": [true, [-0.9, -4.7, 2.4, 0.9]], \"passed\": false}, {\"check\": \"case 3\", \"actual\": [true, [-2.7, 1.7, 0.6, 4.0]], \"expected\": [true, [-2.7, 1.1, 0.6, 4.0]], \"passed\": false}, {\"check\": \"case 4\", \"actual\": [false, [-1.8, -4.0, -0.3, -0.7]], \"expected\": [false, [-1.8, -4.0, -0.3, -0.7]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [false, [-3.0, -3.1, 1.1, 1.5]], \"expected\": [false, [-3.0, -3.1, 1.1, 1.5]], \"passed\": true}, {\"check\": \"case 6\", \"actual\": [true, [5.7, -0.2, 10.5, 2.0]], \"expected\": [true, [5.7, -0.4, 10.5, 2.0]], \"passed\": false}, {\"check\": \"case 7\", \"actual\": [true, [4.7, -5.8, 10.0, -3.2]], \"expected\": [true, [4.7, -6.8, 10.0, -3.2]], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":41.953,"exit_code":0,"observations":[{"actual":[false,[2.3,-0.6,4.4,3.6]],"check":"case 0","expected":[false,[2.3,-0.6,4.4,3.6]],"passed":true},{"actual":[true,[-0.4,2.0,0.4,5.1]],"check":"case 1","expected":[true,[-0.4,2.0,0.4,5.1]],"passed":true},{"actual":[true,[-0.9,-4.7,2.4,0.9]],"check":"case 2","expected":[true,[-0.9,-4.7,2.4,0.9]],"passed":true},{"actual":[true,[-2.7,1.1,0.6,4.0]],"check":"case 3","expected":[true,[-2.7,1.1,0.6,4.0]],"passed":true},{"actual":[false,[-1.8,-4.0,-0.3,-0.7]],"check":"case 4","expected":[false,[-1.8,-4.0,-0.3,-0.7]],"passed":true},{"actual":[false,[-3.0,-3.1,1.1,1.5]],"check":"case 5","expected":[false,[-3.0,-3.1,1.1,1.5]],"passed":true},{"actual":[true,[5.7,-0.4,10.5,2.0]],"check":"case 6","expected":[true,[5.7,-0.4,10.5,2.0]],"passed":true},{"actual":[true,[4.7,-6.8,10.0,-3.2]],"check":"case 7","expected":[true,[4.7,-6.8,10.0,-3.2]],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [false, [2.3, -0.6, 4.4, 3.6]], \"expected\": [false, [2.3, -0.6, 4.4, 3.6]], \"passed\": true}, {\"check\": \"case 1\", \"actual\": [true, [-0.4, 2.0, 0.4, 5.1]], \"expected\": [true, [-0.4, 2.0, 0.4, 5.1]], \"passed\": true}, {\"check\": \"case 2\", \"actual\": [true, [-0.9, -4.7, 2.4, 0.9]], \"expected\": [true, [-0.9, -4.7, 2.4, 0.9]], \"passed\": true}, {\"check\": \"case 3\", \"actual\": [true, [-2.7, 1.1, 0.6, 4.0]], \"expected\": [true, [-2.7, 1.1, 0.6, 4.0]], \"passed\": true}, {\"check\": \"case 4\", \"actual\": [false, [-1.8, -4.0, -0.3, -0.7]], \"expected\": [false, [-1.8, -4.0, -0.3, -0.7]], \"passed\": true}, {\"check\": \"case 5\", \"actual\": [false, [-3.0, -3.1, 1.1, 1.5]], \"expected\": [false, [-3.0, -3.1, 1.1, 1.5]], \"passed\": true}, {\"check\": \"case 6\", \"actual\": [true, [5.7, -0.4, 10.5, 2.0]], \"expected\": [true, [5.7, -0.4, 10.5, 2.0]], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [true, [4.7, -6.8, 10.0, -3.2]], \"expected\": [true, [4.7, -6.8, 10.0, -3.2]], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}