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Diffstat (limited to 'System/Pendulum/swingUp.py')
| -rw-r--r-- | System/Pendulum/swingUp.py | 207 |
1 files changed, 207 insertions, 0 deletions
diff --git a/System/Pendulum/swingUp.py b/System/Pendulum/swingUp.py new file mode 100644 index 0000000..fb5d4c0 --- /dev/null +++ b/System/Pendulum/swingUp.py @@ -0,0 +1,207 @@ +""" +Classic cart-pole system implemented by Rich Sutton et al. +Copied from http://incompleteideas.net/sutton/book/code/pole.c +permalink: https://perma.cc/C9ZM-652R +""" + +import math +import gym +from gym import spaces, logger +from gym.utils import seeding +import numpy as np + +class SwingUpEnv(gym.Env): + """ + Description: + A pole is attached by an un-actuated joint to a cart, which moves along a frictionless track. The pendulum starts upright, and the goal is to prevent it from falling over by increasing and reducing the cart's velocity. + + Source: + This environment corresponds to the version of the cart-pole problem described by Barto, Sutton, and Anderson + + Observation: + Type: Box(4) + Num Observation Min Max + 0 Cart Position -4.8 4.8 + 1 Cart Velocity -Inf Inf + 2 Pole Angle -Inf Inf + 3 Pole Velocity At Tip -Inf Inf + + Actions: + Type: Box(1) + Num Action Min Max + 0 Push cart -1 1 + + Note: The amount the velocity that is reduced or increased is not fixed; it depends on the angle the pole is pointing. This is because the center of gravity of the pole increases the amount of energy needed to move the cart underneath it + + Reward: + Reward is 1 for every step taken, including the termination step + + Starting State: + All observations are assigned a uniform random value in [-0.05..0.05] + + Episode Termination: + Pole Angle is more than 12 degrees + Cart Position is more than 2.4 (center of the cart reaches the edge of the display) + Episode length is greater than 200 + Solved Requirements + Considered solved when the average reward is greater than or equal to 195.0 over 100 consecutive trials. + """ + + metadata = { + 'render.modes': ['human', 'rgb_array'], + 'video.frames_per_second' : 50 + } + + def __init__(self): + self.gravity = 9.8 + self.masscart = 1.0 + self.masspole = 0.1 + self.total_mass = (self.masspole + self.masscart) + self.length = 0.5 # actually half the pole's length + self.polemass_length = (self.masspole * self.length) + self.force_mag = 10.0 + self.tau = 0.02 # seconds between state updates + self.kinematics_integrator = 'euler' + + # Angle at which to fail the episode + self.x_threshold = 2.4 + self.x_dot_threshold = 10. + self.theta_dot_threshold = 3*np.pi + + # Angle limit set to 2 * theta_threshold_radians so failing observation is still within bounds + high = np.array([ + self.x_threshold*2, + self.x_dot_threshold, + np.finfo(np.float32).max, + np.finfo(np.float32).max]) + + + self.action_space = spaces.Box(-np.ones(1),np.ones(1),dtype=np.float32) + self.observation_space = spaces.Box(-high, high, dtype=np.float32) + + self.seed() + self.viewer = None + self.state = None + + self.steps_beyond_done = None + + def seed(self, seed=None): + self.np_random, seed = seeding.np_random(seed) + return [seed] + + def step(self, action): + assert self.action_space.contains(action), "%r (%s) invalid"%(action, type(action)) + state = self.state + x, x_dot, theta, theta_dot = state + force = self.force_mag * action[0] + + costheta = math.cos(theta) + sintheta = math.sin(theta) + + if costheta > 0: + self.up_time += 1 + self.max_up_time = np.max([self.up_time,self.max_up_time]) + + else: + self.up_time = 0 + + temp = (force + self.polemass_length * theta_dot * theta_dot * sintheta) / self.total_mass + thetaacc = (self.gravity * sintheta - costheta* temp) / (self.length * (4.0/3.0 - self.masspole * costheta * costheta / self.total_mass)) + xacc = temp - self.polemass_length * thetaacc * costheta / self.total_mass + if self.kinematics_integrator == 'euler': + x = x + self.tau * x_dot + x_dot = x_dot + self.tau * xacc + theta = theta + self.tau * theta_dot + theta_dot = theta_dot + self.tau * thetaacc + else: # semi-implicit euler + x_dot = x_dot + self.tau * xacc + x = x + self.tau * x_dot + theta_dot = theta_dot + self.tau * thetaacc + theta = theta + self.tau * theta_dot + self.state = (x,x_dot,theta,theta_dot) + done = x < -self.x_threshold \ + or x > self.x_threshold \ + or theta_dot < -self.theta_dot_threshold \ + or theta_dot > self.theta_dot_threshold + done = bool(done) + + if not done: + reward = np.ceil(costheta) + elif self.steps_beyond_done is None: + # Pole just fell! + self.steps_beyond_done = 0 + reward = -(100 * (np.abs(x_dot)+np.abs(theta_dot))) + else: + if self.steps_beyond_done == 0: + logger.warn("You are calling 'step()' even though this environment has already returned done = True. You should always call 'reset()' once you receive 'done = True' -- any further steps are undefined behavior.") + self.steps_beyond_done += 1 + reward = 0.0 + + return np.array(self.state), reward, done, {'max_up_time' : self.max_up_time} + + def reset(self): + self.state = self.np_random.uniform(low=-.5,high=.5,size=(4,)) + self.state[2] += np.pi + self.up_time = 0 + self.max_up_time = 0 + self.up = False + self.steps_beyond_done = None + return np.array(self.state) + + def render(self, mode='human'): + screen_width = 600 + screen_height = 400 + + world_width = self.x_threshold*2 + scale = screen_width/world_width + carty = 100 # TOP OF CART + polewidth = 10.0 + polelen = scale * (2 * self.length) + cartwidth = 50.0 + cartheight = 30.0 + + if self.viewer is None: + from gym.envs.classic_control import rendering + self.viewer = rendering.Viewer(screen_width, screen_height) + l,r,t,b = -cartwidth/2, cartwidth/2, cartheight/2, -cartheight/2 + axleoffset =cartheight/4.0 + cart = rendering.FilledPolygon([(l,b), (l,t), (r,t), (r,b)]) + self.carttrans = rendering.Transform() + cart.add_attr(self.carttrans) + self.viewer.add_geom(cart) + l,r,t,b = -polewidth/2,polewidth/2,polelen-polewidth/2,-polewidth/2 + pole = rendering.FilledPolygon([(l,b), (l,t), (r,t), (r,b)]) + pole.set_color(.8,.6,.4) + self.poletrans = rendering.Transform(translation=(0, axleoffset)) + pole.add_attr(self.poletrans) + pole.add_attr(self.carttrans) + self.viewer.add_geom(pole) + self.axle = rendering.make_circle(polewidth/2) + self.axle.add_attr(self.poletrans) + self.axle.add_attr(self.carttrans) + self.axle.set_color(.5,.5,.8) + self.viewer.add_geom(self.axle) + self.track = rendering.Line((0,carty), (screen_width,carty)) + self.track.set_color(0,0,0) + self.viewer.add_geom(self.track) + + self._pole_geom = pole + + if self.state is None: return None + + # Edit the pole polygon vertex + pole = self._pole_geom + l,r,t,b = -polewidth/2,polewidth/2,polelen-polewidth/2,-polewidth/2 + pole.v = [(l,b), (l,t), (r,t), (r,b)] + + x = self.state + cartx = x[0]*scale+screen_width/2.0 # MIDDLE OF CART + self.carttrans.set_translation(cartx, carty) + self.poletrans.set_rotation(-x[2]) + + return self.viewer.render(return_rgb_array = mode=='rgb_array') + + def close(self): + if self.viewer: + self.viewer.close() + self.viewer = None |