{"abstract":"A sleeping crate hit by a kick stays frozen.","category":"Physics integrator stability","checks":8,"contract":"solve(v, omega, lin_damp, ang_damp, dt, max_speed, sleep_lin, sleep_ang, sleep_time, kicks): per frame, a sleeping body wakes (timer reset) only when that frame's kick is nonzero, else it is skipped. Add the kick [dvx,dvy,domega], damp with 1/(1+dt*c) (linear and angular coefficients), clamp speed magnitude, then accumulate sleep time while |v|<sleep_lin and |omega|<sleep_ang (else reset). When timer>=sleep_time the body sleeps and velocities are zeroed. Return [vx, vy, omega, timer, asleep, frame index slept or -1].","contract_signature":"v, omega, lin_damp, ang_damp, dt, max_speed, sleep_lin, sleep_ang, sleep_time, kicks","evaluation_group":"w2-physics_integrator_stability-damping-clamp-sleep","failed_approach":"Waking without resetting the timer puts the body straight back to sleep.","family":"w2-physics_integrator_stability-damping-clamp-sleep-wake-on-impulse","id":"FA-87261","implementations":{"attempt":{"sha256":"8d9ec7ee037ae9df4f8ac69ec1e91e179304e523fc0a37c9340deef80e5c9a25","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(v, omega, lin_damp, ang_damp, dt, max_speed, sleep_lin, sleep_ang, sleep_time, kicks):\n    vx, vy = v\n    w = omega\n    timer = 0.0\n    asleep = False\n    slept_at = -1\n    for f, (ax, ay, aw) in enumerate(kicks):\n        if asleep:\n            if ax or ay or aw:\n                asleep = False\n            else:\n                continue\n        vx += ax\n        vy += ay\n        w += aw\n        dl = 1.0 / (1.0 + dt * lin_damp)\n        vx *= dl\n        vy *= dl\n        w *= 1.0 / (1.0 + dt * ang_damp)\n        sp = math.hypot(vx, vy)\n        if sp > max_speed:\n            s = max_speed / sp\n            vx *= s\n            vy *= s\n        if math.hypot(vx, vy) < sleep_lin and abs(w) < sleep_ang:\n            timer += dt\n        else:\n            timer = 0.0\n        if timer >= sleep_time:\n            asleep = True\n            slept_at = f\n            vx = vy = w = 0.0\n    return [round(vx, 6), round(vy, 6), round(w, 6), round(timer, 6), asleep, slept_at]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[[[[0.07, -0.09], 0.0, 2.0, 0.5, 0.03125, 8.0, 0.5, 1.0, 0.09375, [[0, 0, -0.5], [0, 0, -0.5], [0, 0, 0], [0, 0, 0.5]]], [0.0, 0.0, 0.492308, 0.03125, False, 2]], [[[-0.12, -5.54], -0.33, 0.5, 0.5, 0.015625, 8.0, 2.0, 0.3, 0.03125, [[1, 8, 2], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.853029, 2.384603, 1.618816, 0.0, False, -1]], [[[0.01, 0.0], 0.02, 20.0, 5.0, 0.0625, 8.0, 0.5, 0.3, 0.125, [[0, 0, 0], [0, 0, 0], [0, 0, -1], [0, 0, 0]]], [0.0, 0.0, -0.580499, 0.0, False, 1]], [[[0.01, -0.05], 1.96, 20.0, 0.5, 0.015625, 3.0, 2.0, 1.0, 0.03125, [[0, 0, 0], [-2, -3, 0], [0, 0, 0], [0, 0, 0], [5, 0, -1], [0, -3, -1], [0, 0, 0], [5, 8, 2], [0, 0, 0], [0, 1, -1]]], [1.25024, 1.974221, 0.858637, 0.0, False, -1]], [[[-0.42, 3.07], 0.58, 80.0, 40.0, 0.03125, 3.0, 2.0, 1.0, 0.09375, [[0, 0, 0], [0, 0, 0], [-2, 8, 0], [0, 0, 0], [0, 0, 0], [0, -3, 0], [1, 0, 0]]], [0.285714, 0.0, 0.0, 0.03125, False, 5]], [[[-0.04, -0.05], -0.23, 80.0, 5.0, 0.03125, 8.0, 2.0, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 1, -1], [0, 0, 0], [0, 0, 0], [5, 1, 0.5]]], [1.428571, 0.285714, 0.432432, 0.03125, False, 3]], [[[0.01, -0.01], 0.02, 80.0, 5.0, 0.0625, 3.0, 0.5, 0.3, 0.0625, [[5, 8, -1], [0, 0, 0], [0, 0, 2]]], [0.023194, 0.036991, 1.09037, 0.0, False, -1]], [[[0.02, -0.03], 0.99, 20.0, 40.0, 0.0625, 3.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 8, 0.5], [0, 0, 0]]], [0.0, 1.333333, 0.040816, 0.0, False, 0]]], [[[[0.02, -0.03], 1.88, 20.0, 5.0, 0.0625, 3.0, 0.5, 1.0, 0.0625, [[-2, 0, 2], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-2, 0, 0], [5, 0, 0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 8]], [[[-0.05, -0.0], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 0.3, 0.03125, [[0, 0, -1.5], [0, 0, 0], [0, 0, -1.5], [0, 0, 1.5], [0, 0, -1.5]]], [-0.048092, 0.0, -2.327574, 0.0, False, -1]], [[[0.01, -0.01], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 0.3, 0.03125, [[0, 0, -0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0.5], [0, 0, 0], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, -0.769069, 0.0, False, 4]], [[[0.03, -0.02], -1.31, 80.0, 40.0, 0.0625, 8.0, 2.0, 0.3, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, -1], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 2]], [[[-0.05, -0.03], -1.75, 20.0, 40.0, 0.0625, 8.0, 0.5, 0.3, 0.0625, [[5, 0, 0.5], [0, 0, 0], [1, 0, 0.5], [0, 8, 0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0], [5, -3, 0]]], [2.222222, -1.333333, 0.0, 0.0, False, 6]], [[[-0.03, 0.06], 0.0, 0.5, 0.5, 0.03125, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, -0.5], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 1]], [[[-0.03, -0.03], 0.0, 0.5, 0.5, 0.0625, 8.0, 0.5, 1.0, 0.1875, [[0, 0, 3.0], [0, 0, 3.0], [0, 0, 0], [0, 0, 3.0], [0, 0, 3.0], [0, 0, -3.0], [0, 0, 0], [0, 0, 0]]], [-0.023454, -0.023454, 7.253301, 0.0, False, -1]], [[[0.02, 0.02], -0.63, 80.0, 40.0, 0.015625, 8.0, 2.0, 1.0, 0.046875, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, -3, 0.5], [0, 0, 0]]], [0.0, -0.592593, 0.189349, 0.03125, False, 2]]], [[[[0.05, 0.06], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 0.3, 0.03125, [[0, 0, -0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0.5], [0, 0, 0], [0, 0, -0.5], [0, 0, 0]]], [0.0, 0.0, -0.430162, 0.0, False, 4]], [[[-0.03, 0.08], 0.0, 2.0, 5.0, 0.015625, 8.0, 0.5, 1.0, 0.03125, [[0, 0, -0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0.5], [0, 0, 0], [0, 0, 0.5], [0, 0, -0.5]]], [0.0, 0.0, 0.0, 0.03125, True, 7]], [[[0.04, 0.1], 0.0, 2.0, 5.0, 0.015625, 8.0, 0.5, 1.0, 0.03125, [[0, 0, 0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0.5]]], [0.0, 0.0, 0.463768, 0.015625, False, 5]], [[[-0.01, 0.04], 1.03, 2.0, 0.5, 0.03125, 8.0, 0.5, 0.3, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0]]], [-0.008337, 0.033348, 0.983189, 0.0, False, -1]], [[[0.09, 0.08], 0.0, 2.0, 5.0, 0.03125, 8.0, 0.5, 0.3, 0.0625, [[0, 0, 0.5], [0, 0, 0.5], [0, 0, 0], [0, 0, 0], [0, 0, -0.5], [0, 0, 0], [0, 0, 0.5], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.323456, 0.0, False, 5]], [[[0.09, -0.1], 0.0, 0.5, 0.5, 0.03125, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 1.5], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.082005, -0.091117, 1.388111, 0.0, False, -1]], [[[0.05, -0.03], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 0.3, 0.046875, [[0, 0, -0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0]]], [0.047719, -0.028631, -1.174357, 0.0, False, -1]], [[[0.09, 0.02], 0.0, 0.5, 5.0, 0.03125, 8.0, 0.5, 0.3, 0.0625, [[0, 0, 1.5], [0, 0, -1.5], [0, 0, -1.5], [0, 0, 1.5], [0, 0, 0], [0, 0, 1.5]]], [0.0, 0.0, 1.297297, 0.0, False, 4]]], [[[[0.06, 0.07], 0.0, 0.5, 5.0, 0.03125, 8.0, 0.5, 0.3, 0.09375, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, -3.0], [0, 0, 0], [0, 0, -3.0], [0, 0, 3.0]]], [0.0, 0.0, -1.327852, 0.0, False, 2]], [[[-0.05, -0.01], -0.3, 80.0, 40.0, 0.015625, 8.0, 2.0, 0.3, 0.015625, [[0, 0, 0], [0, 0, 0], [5, 0, -1], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.015625, True, 4]], [[[-0.0, 0.01], -1.88, 2.0, 40.0, 0.015625, 8.0, 2.0, 1.0, 0.015625, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [5, 8, 0]]], [4.239992, 6.783986, 0.0, 0.0, False, 1]], [[[0.04, -0.08], 0.0, 2.0, 5.0, 0.015625, 8.0, 0.5, 1.0, 0.046875, [[0, 0, 0], [0, 0, 0], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, 0], [0, 0, 0.5], [0, 0, -0.5]]], [0.0, 0.0, -0.033606, 0.03125, False, 5]], [[[3.71, -0.78], 1.01, 20.0, 40.0, 0.0625, 3.0, 0.5, 1.0, 0.0625, [[1, -3, 0], [0, -3, 2], [1, -3, 2], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 4]], [[[-5.26, 2.26], 0.01, 2.0, 40.0, 0.03125, 8.0, 0.5, 1.0, 0.09375, [[0, 0, 0], [0, 0, 2], [-2, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [-4.918004, 1.478447, 0.015449, 0.0, False, -1]], [[[0.08, 0.03], 0.0, 2.0, 0.5, 0.0625, 8.0, 0.5, 1.0, 0.1875, [[0, 0, 0], [0, 0, 0], [0, 0, -1.5], [0, 0, 1.5], [0, 0, -1.5], [0, 0, 1.5], [0, 0, 1.5], [0, 0, 0], [0, 0, -1.5]]], [0.027715, 0.010393, -0.008837, 0.0625, False, -1]], [[[-0.05, 0.02], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 1.0, 0.03125, [[0, 0, 0], [0, 0, 0], [0, 0, 0.5], [0, 0, -0.5], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.03125, True, 3]]], [[[[0.06, 0.05], 0.0, 2.0, 5.0, 0.03125, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, 0], [0, 0, 0.5]]], [0.0, 0.0, 0.432432, 0.03125, False, 6]], [[[-0.0, 0.0], -1.06, 2.0, 5.0, 0.0625, 3.0, 2.0, 1.0, 0.1875, [[0, 0, 0], [-2, 1, 0.5], [0, 0, 0], [0, 0, 0], [1, 8, 2], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.261341, 2.090725, 0.673958, 0.0, False, 2]], [[[-0.03, -0.03], 0.71, 80.0, 40.0, 0.0625, 3.0, 0.5, 0.3, 0.1875, [[0, 0, 0], [0, 0, -1], [0, 0, 0], [0, 0, 0], [-2, 0, 0.5]]], [-0.333333, 0.0, 0.142857, 0.0625, False, 2]], [[[0.08, -0.08], 0.0, 0.5, 0.5, 0.0625, 8.0, 0.5, 1.0, 0.125, [[0, 0, 0], [0, 0, 0.5], [0, 0, 0.5], [0, 0, 0], [0, 0, 0.5], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.125, True, 5]], [[[-4.04, -5.1], 0.88, 80.0, 40.0, 0.0625, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 1]], [[[-0.03, -0.01], 1.59, 80.0, 40.0, 0.03125, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 1, 0.5], [1, -3, -1], [-2, 0, 0], [0, 0, 0]]], [-0.139942, -0.063307, -0.068282, 0.03125, False, 1]], [[[-0.01, 0.03], -1.06, 2.0, 40.0, 0.03125, 3.0, 2.0, 1.0, 0.03125, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.03125, True, 0]], [[[0.24, 4.31], -1.09, 0.5, 40.0, 0.0625, 8.0, 2.0, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 8, 0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.133785, 7.293316, 0.003163, 0.0, False, -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":"a3af616de268973fe4bc540688a54485d109fdf0e17d9ae287c1790d236b762a","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(v, omega, lin_damp, ang_damp, dt, max_speed, sleep_lin, sleep_ang, sleep_time, kicks):\n    vx, vy = v\n    w = omega\n    timer = 0.0\n    asleep = False\n    slept_at = -1\n    for f, (ax, ay, aw) in enumerate(kicks):\n        if asleep:\n            continue\n        vx += ax\n        vy += ay\n        w += aw\n        dl = 1.0 / (1.0 + dt * lin_damp)\n        vx *= dl\n        vy *= dl\n        w *= 1.0 / (1.0 + dt * ang_damp)\n        sp = math.hypot(vx, vy)\n        if sp > max_speed:\n            s = max_speed / sp\n            vx *= s\n            vy *= s\n        if math.hypot(vx, vy) < sleep_lin and abs(w) < sleep_ang:\n            timer += dt\n        else:\n            timer = 0.0\n        if timer >= sleep_time:\n            asleep = True\n            slept_at = f\n            vx = vy = w = 0.0\n    return [round(vx, 6), round(vy, 6), round(w, 6), round(timer, 6), asleep, slept_at]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[[[[0.07, -0.09], 0.0, 2.0, 0.5, 0.03125, 8.0, 0.5, 1.0, 0.09375, [[0, 0, -0.5], [0, 0, -0.5], [0, 0, 0], [0, 0, 0.5]]], [0.0, 0.0, 0.492308, 0.03125, False, 2]], [[[-0.12, -5.54], -0.33, 0.5, 0.5, 0.015625, 8.0, 2.0, 0.3, 0.03125, [[1, 8, 2], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.853029, 2.384603, 1.618816, 0.0, False, -1]], [[[0.01, 0.0], 0.02, 20.0, 5.0, 0.0625, 8.0, 0.5, 0.3, 0.125, [[0, 0, 0], [0, 0, 0], [0, 0, -1], [0, 0, 0]]], [0.0, 0.0, -0.580499, 0.0, False, 1]], [[[0.01, -0.05], 1.96, 20.0, 0.5, 0.015625, 3.0, 2.0, 1.0, 0.03125, [[0, 0, 0], [-2, -3, 0], [0, 0, 0], [0, 0, 0], [5, 0, -1], [0, -3, -1], [0, 0, 0], [5, 8, 2], [0, 0, 0], [0, 1, -1]]], [1.25024, 1.974221, 0.858637, 0.0, False, -1]], [[[-0.42, 3.07], 0.58, 80.0, 40.0, 0.03125, 3.0, 2.0, 1.0, 0.09375, [[0, 0, 0], [0, 0, 0], [-2, 8, 0], [0, 0, 0], [0, 0, 0], [0, -3, 0], [1, 0, 0]]], [0.285714, 0.0, 0.0, 0.03125, False, 5]], [[[-0.04, -0.05], -0.23, 80.0, 5.0, 0.03125, 8.0, 2.0, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 1, -1], [0, 0, 0], [0, 0, 0], [5, 1, 0.5]]], [1.428571, 0.285714, 0.432432, 0.03125, False, 3]], [[[0.01, -0.01], 0.02, 80.0, 5.0, 0.0625, 3.0, 0.5, 0.3, 0.0625, [[5, 8, -1], [0, 0, 0], [0, 0, 2]]], [0.023194, 0.036991, 1.09037, 0.0, False, -1]], [[[0.02, -0.03], 0.99, 20.0, 40.0, 0.0625, 3.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 8, 0.5], [0, 0, 0]]], [0.0, 1.333333, 0.040816, 0.0, False, 0]]], [[[[0.02, -0.03], 1.88, 20.0, 5.0, 0.0625, 3.0, 0.5, 1.0, 0.0625, [[-2, 0, 2], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-2, 0, 0], [5, 0, 0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 8]], [[[-0.05, -0.0], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 0.3, 0.03125, [[0, 0, -1.5], [0, 0, 0], [0, 0, -1.5], [0, 0, 1.5], [0, 0, -1.5]]], [-0.048092, 0.0, -2.327574, 0.0, False, -1]], [[[0.01, -0.01], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 0.3, 0.03125, [[0, 0, -0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0.5], [0, 0, 0], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, -0.769069, 0.0, False, 4]], [[[0.03, -0.02], -1.31, 80.0, 40.0, 0.0625, 8.0, 2.0, 0.3, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, -1], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 2]], [[[-0.05, -0.03], -1.75, 20.0, 40.0, 0.0625, 8.0, 0.5, 0.3, 0.0625, [[5, 0, 0.5], [0, 0, 0], [1, 0, 0.5], [0, 8, 0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0], [5, -3, 0]]], [2.222222, -1.333333, 0.0, 0.0, False, 6]], [[[-0.03, 0.06], 0.0, 0.5, 0.5, 0.03125, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, -0.5], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 1]], [[[-0.03, -0.03], 0.0, 0.5, 0.5, 0.0625, 8.0, 0.5, 1.0, 0.1875, [[0, 0, 3.0], [0, 0, 3.0], [0, 0, 0], [0, 0, 3.0], [0, 0, 3.0], [0, 0, -3.0], [0, 0, 0], [0, 0, 0]]], [-0.023454, -0.023454, 7.253301, 0.0, False, -1]], [[[0.02, 0.02], -0.63, 80.0, 40.0, 0.015625, 8.0, 2.0, 1.0, 0.046875, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, -3, 0.5], [0, 0, 0]]], [0.0, -0.592593, 0.189349, 0.03125, False, 2]]], [[[[0.05, 0.06], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 0.3, 0.03125, [[0, 0, -0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0.5], [0, 0, 0], [0, 0, -0.5], [0, 0, 0]]], [0.0, 0.0, -0.430162, 0.0, False, 4]], [[[-0.03, 0.08], 0.0, 2.0, 5.0, 0.015625, 8.0, 0.5, 1.0, 0.03125, [[0, 0, -0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0.5], [0, 0, 0], [0, 0, 0.5], [0, 0, -0.5]]], [0.0, 0.0, 0.0, 0.03125, True, 7]], [[[0.04, 0.1], 0.0, 2.0, 5.0, 0.015625, 8.0, 0.5, 1.0, 0.03125, [[0, 0, 0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0.5]]], [0.0, 0.0, 0.463768, 0.015625, False, 5]], [[[-0.01, 0.04], 1.03, 2.0, 0.5, 0.03125, 8.0, 0.5, 0.3, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0]]], [-0.008337, 0.033348, 0.983189, 0.0, False, -1]], [[[0.09, 0.08], 0.0, 2.0, 5.0, 0.03125, 8.0, 0.5, 0.3, 0.0625, [[0, 0, 0.5], [0, 0, 0.5], [0, 0, 0], [0, 0, 0], [0, 0, -0.5], [0, 0, 0], [0, 0, 0.5], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.323456, 0.0, False, 5]], [[[0.09, -0.1], 0.0, 0.5, 0.5, 0.03125, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 1.5], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.082005, -0.091117, 1.388111, 0.0, False, -1]], [[[0.05, -0.03], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 0.3, 0.046875, [[0, 0, -0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0]]], [0.047719, -0.028631, -1.174357, 0.0, False, -1]], [[[0.09, 0.02], 0.0, 0.5, 5.0, 0.03125, 8.0, 0.5, 0.3, 0.0625, [[0, 0, 1.5], [0, 0, -1.5], [0, 0, -1.5], [0, 0, 1.5], [0, 0, 0], [0, 0, 1.5]]], [0.0, 0.0, 1.297297, 0.0, False, 4]]], [[[[0.06, 0.07], 0.0, 0.5, 5.0, 0.03125, 8.0, 0.5, 0.3, 0.09375, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, -3.0], [0, 0, 0], [0, 0, -3.0], [0, 0, 3.0]]], [0.0, 0.0, -1.327852, 0.0, False, 2]], [[[-0.05, -0.01], -0.3, 80.0, 40.0, 0.015625, 8.0, 2.0, 0.3, 0.015625, [[0, 0, 0], [0, 0, 0], [5, 0, -1], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.015625, True, 4]], [[[-0.0, 0.01], -1.88, 2.0, 40.0, 0.015625, 8.0, 2.0, 1.0, 0.015625, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [5, 8, 0]]], [4.239992, 6.783986, 0.0, 0.0, False, 1]], [[[0.04, -0.08], 0.0, 2.0, 5.0, 0.015625, 8.0, 0.5, 1.0, 0.046875, [[0, 0, 0], [0, 0, 0], [0, 0, -0.5], [0, 0, -0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, 0], [0, 0, 0.5], [0, 0, -0.5]]], [0.0, 0.0, -0.033606, 0.03125, False, 5]], [[[3.71, -0.78], 1.01, 20.0, 40.0, 0.0625, 3.0, 0.5, 1.0, 0.0625, [[1, -3, 0], [0, -3, 2], [1, -3, 2], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 4]], [[[-5.26, 2.26], 0.01, 2.0, 40.0, 0.03125, 8.0, 0.5, 1.0, 0.09375, [[0, 0, 0], [0, 0, 2], [-2, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [-4.918004, 1.478447, 0.015449, 0.0, False, -1]], [[[0.08, 0.03], 0.0, 2.0, 0.5, 0.0625, 8.0, 0.5, 1.0, 0.1875, [[0, 0, 0], [0, 0, 0], [0, 0, -1.5], [0, 0, 1.5], [0, 0, -1.5], [0, 0, 1.5], [0, 0, 1.5], [0, 0, 0], [0, 0, -1.5]]], [0.027715, 0.010393, -0.008837, 0.0625, False, -1]], [[[-0.05, 0.02], 0.0, 0.5, 5.0, 0.015625, 8.0, 0.5, 1.0, 0.03125, [[0, 0, 0], [0, 0, 0], [0, 0, 0.5], [0, 0, -0.5], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.03125, True, 3]]], [[[[0.06, 0.05], 0.0, 2.0, 5.0, 0.03125, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0.5], [0, 0, 0.5], [0, 0, -0.5], [0, 0, 0], [0, 0, 0.5]]], [0.0, 0.0, 0.432432, 0.03125, False, 6]], [[[-0.0, 0.0], -1.06, 2.0, 5.0, 0.0625, 3.0, 2.0, 1.0, 0.1875, [[0, 0, 0], [-2, 1, 0.5], [0, 0, 0], [0, 0, 0], [1, 8, 2], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.261341, 2.090725, 0.673958, 0.0, False, 2]], [[[-0.03, -0.03], 0.71, 80.0, 40.0, 0.0625, 3.0, 0.5, 0.3, 0.1875, [[0, 0, 0], [0, 0, -1], [0, 0, 0], [0, 0, 0], [-2, 0, 0.5]]], [-0.333333, 0.0, 0.142857, 0.0625, False, 2]], [[[0.08, -0.08], 0.0, 0.5, 0.5, 0.0625, 8.0, 0.5, 1.0, 0.125, [[0, 0, 0], [0, 0, 0.5], [0, 0, 0.5], [0, 0, 0], [0, 0, 0.5], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.125, True, 5]], [[[-4.04, -5.1], 0.88, 80.0, 40.0, 0.0625, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.0625, True, 1]], [[[-0.03, -0.01], 1.59, 80.0, 40.0, 0.03125, 8.0, 0.5, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 1, 0.5], [1, -3, -1], [-2, 0, 0], [0, 0, 0]]], [-0.139942, -0.063307, -0.068282, 0.03125, False, 1]], [[[-0.01, 0.03], -1.06, 2.0, 40.0, 0.03125, 3.0, 2.0, 1.0, 0.03125, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.0, 0.0, 0.0, 0.03125, True, 0]], [[[0.24, 4.31], -1.09, 0.5, 40.0, 0.0625, 8.0, 2.0, 1.0, 0.0625, [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 8, 0.5], [0, 0, 0], [0, 0, 0], [0, 0, 0]]], [0.133785, 7.293316, 0.003163, 0.0, False, -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 and rounded float output; not a production physics engine or a proof of numerical stability. 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-physics_integrator_stability-damping-clamp-sleep-wake-on-impulse","generated_at":"2026-09-29T14:50:57.208504+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Game and robotics physics loops depend on integrator update order, step control and stabilization terms; a wrong decision point turns a stable simulation into drifting or exploding motion.","root_cause":"Asleep frames always continue without checking the kick.","sha256":"0ec6dec5b38e60cfc3f1bd20d1a9a99ca84588b1c14f11ca7bf6ff4c81fb380e","title":"Sleeping bodies ignore incoming impulses · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":42.159,"exit_code":1,"observations":[{"actual":[0.0,0.0,0.0,0.125,true,3],"check":"case 0","expected":[0.0,0.0,0.492308,0.03125,false,2],"passed":false},{"actual":[0.853029,2.384603,1.618816,0.0,false,-1],"check":"case 1","expected":[0.853029,2.384603,1.618816,0.0,false,-1],"passed":true},{"actual":[0.0,0.0,-0.580499,0.0,false,1],"check":"case 2","expected":[0.0,0.0,-0.580499,0.0,false,1],"passed":true},{"actual":[1.25024,1.974221,0.858637,0.0,false,-1],"check":"case 3","expected":[1.25024,1.974221,0.858637,0.0,false,-1],"passed":true},{"actual":[0.0,0.0,0.0,0.125,true,6],"check":"case 4","expected":[0.285714,0.0,0.0,0.03125,false,5],"passed":false},{"actual":[0.0,0.0,0.0,0.125,true,5],"check":"case 5","expected":[1.428571,0.285714,0.432432,0.03125,false,3],"passed":false},{"actual":[0.023194,0.036991,1.09037,0.0,false,-1],"check":"case 6","expected":[0.023194,0.036991,1.09037,0.0,false,-1],"passed":true},{"actual":[0.0,1.333333,0.040816,0.0,false,0],"check":"case 7","expected":[0.0,1.333333,0.040816,0.0,false,0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [0.0, 0.0, 0.0, 0.125, true, 3], \"expected\": [0.0, 0.0, 0.492308, 0.03125, false, 2], \"passed\": false}, {\"check\": \"case 1\", \"actual\": [0.853029, 2.384603, 1.618816, 0.0, false, -1], \"expected\": [0.853029, 2.384603, 1.618816, 0.0, false, -1], \"passed\": true}, {\"check\": \"case 2\", \"actual\": [0.0, 0.0, -0.580499, 0.0, false, 1], \"expected\": [0.0, 0.0, -0.580499, 0.0, false, 1], \"passed\": true}, {\"check\": \"case 3\", \"actual\": [1.25024, 1.974221, 0.858637, 0.0, false, -1], \"expected\": [1.25024, 1.974221, 0.858637, 0.0, false, -1], \"passed\": true}, {\"check\": \"case 4\", \"actual\": [0.0, 0.0, 0.0, 0.125, true, 6], \"expected\": [0.285714, 0.0, 0.0, 0.03125, false, 5], \"passed\": false}, {\"check\": \"case 5\", \"actual\": [0.0, 0.0, 0.0, 0.125, true, 5], \"expected\": [1.428571, 0.285714, 0.432432, 0.03125, false, 3], \"passed\": false}, {\"check\": \"case 6\", \"actual\": [0.023194, 0.036991, 1.09037, 0.0, false, -1], \"expected\": [0.023194, 0.036991, 1.09037, 0.0, false, -1], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [0.0, 1.333333, 0.040816, 0.0, false, 0], \"expected\": [0.0, 1.333333, 0.040816, 0.0, false, 0], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":42.403,"exit_code":1,"observations":[{"actual":[0.0,0.0,0.0,0.09375,true,2],"check":"case 0","expected":[0.0,0.0,0.492308,0.03125,false,2],"passed":false},{"actual":[0.853029,2.384603,1.618816,0.0,false,-1],"check":"case 1","expected":[0.853029,2.384603,1.618816,0.0,false,-1],"passed":true},{"actual":[0.0,0.0,0.0,0.125,true,1],"check":"case 2","expected":[0.0,0.0,-0.580499,0.0,false,1],"passed":false},{"actual":[1.25024,1.974221,0.858637,0.0,false,-1],"check":"case 3","expected":[1.25024,1.974221,0.858637,0.0,false,-1],"passed":true},{"actual":[0.0,0.0,0.0,0.09375,true,5],"check":"case 4","expected":[0.285714,0.0,0.0,0.03125,false,5],"passed":false},{"actual":[0.0,0.0,0.0,0.0625,true,1],"check":"case 5","expected":[1.428571,0.285714,0.432432,0.03125,false,3],"passed":false},{"actual":[0.023194,0.036991,1.09037,0.0,false,-1],"check":"case 6","expected":[0.023194,0.036991,1.09037,0.0,false,-1],"passed":true},{"actual":[0.0,0.0,0.0,0.0625,true,0],"check":"case 7","expected":[0.0,1.333333,0.040816,0.0,false,0],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"case 0\", \"actual\": [0.0, 0.0, 0.0, 0.09375, true, 2], \"expected\": [0.0, 0.0, 0.492308, 0.03125, false, 2], \"passed\": false}, {\"check\": \"case 1\", \"actual\": [0.853029, 2.384603, 1.618816, 0.0, false, -1], \"expected\": [0.853029, 2.384603, 1.618816, 0.0, false, -1], \"passed\": true}, {\"check\": \"case 2\", \"actual\": [0.0, 0.0, 0.0, 0.125, true, 1], \"expected\": [0.0, 0.0, -0.580499, 0.0, false, 1], \"passed\": false}, {\"check\": \"case 3\", \"actual\": [1.25024, 1.974221, 0.858637, 0.0, false, -1], \"expected\": [1.25024, 1.974221, 0.858637, 0.0, false, -1], \"passed\": true}, {\"check\": \"case 4\", \"actual\": [0.0, 0.0, 0.0, 0.09375, true, 5], \"expected\": [0.285714, 0.0, 0.0, 0.03125, false, 5], \"passed\": false}, {\"check\": \"case 5\", \"actual\": [0.0, 0.0, 0.0, 0.0625, true, 1], \"expected\": [1.428571, 0.285714, 0.432432, 0.03125, false, 3], \"passed\": false}, {\"check\": \"case 6\", \"actual\": [0.023194, 0.036991, 1.09037, 0.0, false, -1], \"expected\": [0.023194, 0.036991, 1.09037, 0.0, false, -1], \"passed\": true}, {\"check\": \"case 7\", \"actual\": [0.0, 0.0, 0.0, 0.0625, true, 0], \"expected\": [0.0, 1.333333, 0.040816, 0.0, false, 0], \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}