Add muscle actuators to MJX.
PiperOrigin-RevId: 695334356 Change-Id: I6590ed6bdd4a8adc53d5c4e2641f472f7439cedc
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Copybara-Service
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@@ -221,6 +221,211 @@ class SupportTest(parameterized.TestCase):
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force = force.at[3:].set(dx.contact.frame[j] @ force[3:])
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np.testing.assert_allclose(result, force, rtol=1e-5, atol=2)
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def test_muscle_gain_length(self):
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lmin = 0.5
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lmax = 1.5
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np.testing.assert_allclose(
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support.muscle_gain_length(0, lmin, lmax),
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jp.zeros(1),
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rtol=1e-5,
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atol=1e-5,
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)
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np.testing.assert_allclose(
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support.muscle_gain_length(0.5, lmin, lmax),
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jp.zeros(1),
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rtol=1e-5,
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atol=1e-5,
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)
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np.testing.assert_allclose(
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support.muscle_gain_length(0.6, lmin, lmax),
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jp.array([0.08]),
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rtol=1e-5,
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atol=1e-5,
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)
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np.testing.assert_allclose(
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support.muscle_gain_length(0.75, lmin, lmax),
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jp.array([0.5]),
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rtol=1e-5,
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atol=1e-5,
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)
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np.testing.assert_allclose(
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support.muscle_gain_length(1.0, lmin, lmax),
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jp.ones(1),
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rtol=1e-5,
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atol=1e-5,
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)
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np.testing.assert_allclose(
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support.muscle_gain_length(1.25, lmin, lmax),
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jp.array([0.5]),
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rtol=1e-5,
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atol=1e-5,
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)
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np.testing.assert_allclose(
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support.muscle_gain_length(1.5, lmin, lmax),
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jp.zeros(1),
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rtol=1e-5,
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atol=1e-5,
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)
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np.testing.assert_allclose(
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support.muscle_gain_length(2.0, lmin, lmax),
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jp.zeros(1),
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rtol=1e-5,
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atol=1e-5,
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)
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def test_muscle_gain(self):
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length = jp.array([1.0])
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lengthrange = jp.array([0.0, 1.0])
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acc0 = jp.array([1.0])
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prm = jp.array([0.0, 1.0, 1.0, 200.0, 0.5, 3.0, 1.0, 0.0, 2.0, 0.0])
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# V <= -1
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vel = jp.array([-1.5])
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np.testing.assert_allclose(
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support.muscle_gain(length, vel, lengthrange, acc0, prm),
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jp.array([-0.0]),
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rtol=1e-5,
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atol=1e-5,
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)
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# V <= 0
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vel = jp.array([-0.5])
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np.testing.assert_allclose(
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support.muscle_gain(length, vel, lengthrange, acc0, prm),
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jp.array([-0.25]),
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rtol=1e-5,
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atol=1e-5,
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)
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# V <= y
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vel = jp.array([0.5])
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np.testing.assert_allclose(
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support.muscle_gain(length, vel, lengthrange, acc0, prm),
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jp.array([-1.75]),
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rtol=1e-5,
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atol=1e-5,
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)
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# V > y
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vel = jp.array([1.5])
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np.testing.assert_allclose(
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support.muscle_gain(length, vel, lengthrange, acc0, prm),
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jp.array([-2.0]),
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rtol=1e-5,
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atol=1e-5,
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)
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# force < 0
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prm = prm.at[2].set(-1.0)
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np.testing.assert_allclose(
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support.muscle_gain(length, vel, lengthrange, acc0, prm),
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jp.array([-400.0]),
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rtol=1e-5,
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atol=1e-5,
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)
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def test_muscle_bias(self):
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lengthrange = jp.array([0.0, 1.0])
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acc0 = jp.array([1.0])
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prm = jp.array([0.0, 1.0, 1.0, 200.0, 0.5, 3.0, 1.5, 1.3, 1.2, 0.0])
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# L <= 1
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length = jp.array([0.5])
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np.testing.assert_allclose(
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support.muscle_bias(length, lengthrange, acc0, prm),
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jp.array([0.0]),
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rtol=1e-5,
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atol=1e-5,
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)
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# L <= b
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length = jp.array([1.5])
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np.testing.assert_allclose(
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support.muscle_bias(length, lengthrange, acc0, prm),
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jp.array([-0.1625]),
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rtol=1e-5,
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atol=1e-5,
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)
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# L > b
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length = jp.array([2.5])
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np.testing.assert_allclose(
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support.muscle_bias(length, lengthrange, acc0, prm),
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jp.array([-1.3]),
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rtol=1e-5,
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atol=1e-5,
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)
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# force < 0
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prm = prm.at[2].set(-1.0)
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np.testing.assert_allclose(
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support.muscle_bias(length, lengthrange, acc0, prm),
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jp.array([-260.0]),
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rtol=1e-5,
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atol=1e-5,
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)
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def test_smooth_muscle_dynamics(self):
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# compute time constant as in Millard et al. (2013)
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# https://doi.org/10.1115/1.4023390
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def _muscle_dynamics_millard(ctrl, act, prm):
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ctrlclamp = jp.clip(ctrl, 0, 1)
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actclamp = jp.clip(act, 0, 1)
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tau0 = prm[0] * (0.5 + 1.5 * actclamp)
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tau1 = prm[1] / (0.5 + 1.5 * actclamp)
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tau = jp.where(ctrlclamp > act, tau0, tau1)
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return (ctrlclamp - act) / jp.maximum(mujoco.mjMINVAL, tau)
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prm = jp.array([0.01, 0.04, 0.0])
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# exact equality if tau_smooth = 0
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for ctrl in [-0.1, 0.0, 0.4, 0.5, 1.0, 1.0]:
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for act in [-0.1, 0.0, 0.4, 0.5, 1.0, 1.1]:
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actdot_old = _muscle_dynamics_millard(ctrl, act, prm)
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actdot_new = support.muscle_dynamics(ctrl, act, prm)
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np.testing.assert_allclose(actdot_old, actdot_new, rtol=1e-5, atol=1e-5)
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# positive tau_smooth
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tau_smooth = 0.2
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prm = prm.at[2].set(tau_smooth)
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act = 0.5
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eps = 1.0e-6
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ctrl = 0.4 - eps # smaller than act by just over 0.5 * tau_smooth
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np.testing.assert_allclose(
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_muscle_dynamics_millard(ctrl, act, prm),
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support.muscle_dynamics(ctrl, act, prm),
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rtol=1e-5,
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atol=1e-5,
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)
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ctrl = 0.6 + eps # larger than act by just over 0.5 * tau_smooth
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np.testing.assert_allclose(
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_muscle_dynamics_millard(ctrl, act, prm),
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support.muscle_dynamics(ctrl, act, prm),
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rtol=1e-5,
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atol=1e-5,
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)
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# right in the middle should give average of time constants
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tau_act = 0.2
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tau_deact = 0.3
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for dctrl in [0.0, 0.1, 0.2, 1.0, 1.1]:
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lower = support.muscle_dynamics_timescale(
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-dctrl, tau_act, tau_deact, tau_smooth
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)
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upper = support.muscle_dynamics_timescale(
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dctrl, tau_act, tau_deact, tau_smooth
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)
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np.testing.assert_allclose(
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0.5 * (upper + lower),
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0.5 * (tau_act + tau_deact),
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rtol=1e-5,
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atol=1e-5,
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)
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if __name__ == '__main__':
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absltest.main()
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