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import numpy as np | |
from gym import utils | |
from gym.envs.mujoco import MujocoEnv | |
from gym.spaces import Box | |
DEFAULT_CAMERA_CONFIG = { | |
"distance": 4.0, | |
} | |
class AntEnv(MujocoEnv, utils.EzPickle): | |
""" | |
### Description | |
This environment is based on the environment introduced by Schulman, | |
Moritz, Levine, Jordan and Abbeel in ["High-Dimensional Continuous Control | |
Using Generalized Advantage Estimation"](https://arxiv.org/abs/1506.02438). | |
The ant is a 3D robot consisting of one torso (free rotational body) with | |
four legs attached to it with each leg having two links. The goal is to | |
coordinate the four legs to move in the forward (right) direction by applying | |
torques on the eight hinges connecting the two links of each leg and the torso | |
(nine parts and eight hinges). | |
### Action Space | |
The action space is a `Box(-1, 1, (8,), float32)`. An action represents the torques applied at the hinge joints. | |
| Num | Action | Control Min | Control Max | Name (in corresponding XML file) | Joint | Unit | | |
| --- | ----------------------------------------------------------------- | ----------- | ----------- | -------------------------------- | ----- | ------------ | | |
| 0 | Torque applied on the rotor between the torso and front left hip | -1 | 1 | hip_1 (front_left_leg) | hinge | torque (N m) | | |
| 1 | Torque applied on the rotor between the front left two links | -1 | 1 | angle_1 (front_left_leg) | hinge | torque (N m) | | |
| 2 | Torque applied on the rotor between the torso and front right hip | -1 | 1 | hip_2 (front_right_leg) | hinge | torque (N m) | | |
| 3 | Torque applied on the rotor between the front right two links | -1 | 1 | angle_2 (front_right_leg) | hinge | torque (N m) | | |
| 4 | Torque applied on the rotor between the torso and back left hip | -1 | 1 | hip_3 (back_leg) | hinge | torque (N m) | | |
| 5 | Torque applied on the rotor between the back left two links | -1 | 1 | angle_3 (back_leg) | hinge | torque (N m) | | |
| 6 | Torque applied on the rotor between the torso and back right hip | -1 | 1 | hip_4 (right_back_leg) | hinge | torque (N m) | | |
| 7 | Torque applied on the rotor between the back right two links | -1 | 1 | angle_4 (right_back_leg) | hinge | torque (N m) | | |
### Observation Space | |
Observations consist of positional values of different body parts of the ant, | |
followed by the velocities of those individual parts (their derivatives) with all | |
the positions ordered before all the velocities. | |
By default, observations do not include the x- and y-coordinates of the ant's torso. These may | |
be included by passing `exclude_current_positions_from_observation=False` during construction. | |
In that case, the observation space will have 113 dimensions where the first two dimensions | |
represent the x- and y- coordinates of the ant's torso. | |
Regardless of whether `exclude_current_positions_from_observation` was set to true or false, the x- and y-coordinates | |
of the torso will be returned in `info` with keys `"x_position"` and `"y_position"`, respectively. | |
However, by default, an observation is a `ndarray` with shape `(111,)` | |
where the elements correspond to the following: | |
| Num | Observation | Min | Max | Name (in corresponding XML file) | Joint | Unit | | |
|-----|--------------------------------------------------------------|--------|--------|----------------------------------------|-------|--------------------------| | |
| 0 | z-coordinate of the torso (centre) | -Inf | Inf | torso | free | position (m) | | |
| 1 | x-orientation of the torso (centre) | -Inf | Inf | torso | free | angle (rad) | | |
| 2 | y-orientation of the torso (centre) | -Inf | Inf | torso | free | angle (rad) | | |
| 3 | z-orientation of the torso (centre) | -Inf | Inf | torso | free | angle (rad) | | |
| 4 | w-orientation of the torso (centre) | -Inf | Inf | torso | free | angle (rad) | | |
| 5 | angle between torso and first link on front left | -Inf | Inf | hip_1 (front_left_leg) | hinge | angle (rad) | | |
| 6 | angle between the two links on the front left | -Inf | Inf | ankle_1 (front_left_leg) | hinge | angle (rad) | | |
| 7 | angle between torso and first link on front right | -Inf | Inf | hip_2 (front_right_leg) | hinge | angle (rad) | | |
| 8 | angle between the two links on the front right | -Inf | Inf | ankle_2 (front_right_leg) | hinge | angle (rad) | | |
| 9 | angle between torso and first link on back left | -Inf | Inf | hip_3 (back_leg) | hinge | angle (rad) | | |
| 10 | angle between the two links on the back left | -Inf | Inf | ankle_3 (back_leg) | hinge | angle (rad) | | |
| 11 | angle between torso and first link on back right | -Inf | Inf | hip_4 (right_back_leg) | hinge | angle (rad) | | |
| 12 | angle between the two links on the back right | -Inf | Inf | ankle_4 (right_back_leg) | hinge | angle (rad) | | |
| 13 | x-coordinate velocity of the torso | -Inf | Inf | torso | free | velocity (m/s) | | |
| 14 | y-coordinate velocity of the torso | -Inf | Inf | torso | free | velocity (m/s) | | |
| 15 | z-coordinate velocity of the torso | -Inf | Inf | torso | free | velocity (m/s) | | |
| 16 | x-coordinate angular velocity of the torso | -Inf | Inf | torso | free | angular velocity (rad/s) | | |
| 17 | y-coordinate angular velocity of the torso | -Inf | Inf | torso | free | angular velocity (rad/s) | | |
| 18 | z-coordinate angular velocity of the torso | -Inf | Inf | torso | free | angular velocity (rad/s) | | |
| 19 | angular velocity of angle between torso and front left link | -Inf | Inf | hip_1 (front_left_leg) | hinge | angle (rad) | | |
| 20 | angular velocity of the angle between front left links | -Inf | Inf | ankle_1 (front_left_leg) | hinge | angle (rad) | | |
| 21 | angular velocity of angle between torso and front right link | -Inf | Inf | hip_2 (front_right_leg) | hinge | angle (rad) | | |
| 22 | angular velocity of the angle between front right links | -Inf | Inf | ankle_2 (front_right_leg) | hinge | angle (rad) | | |
| 23 | angular velocity of angle between torso and back left link | -Inf | Inf | hip_3 (back_leg) | hinge | angle (rad) | | |
| 24 | angular velocity of the angle between back left links | -Inf | Inf | ankle_3 (back_leg) | hinge | angle (rad) | | |
| 25 | angular velocity of angle between torso and back right link | -Inf | Inf | hip_4 (right_back_leg) | hinge | angle (rad) | | |
| 26 |angular velocity of the angle between back right links | -Inf | Inf | ankle_4 (right_back_leg) | hinge | angle (rad) | | |
The remaining 14*6 = 84 elements of the observation are contact forces | |
(external forces - force x, y, z and torque x, y, z) applied to the | |
center of mass of each of the links. The 14 links are: the ground link, | |
the torso link, and 3 links for each leg (1 + 1 + 12) with the 6 external forces. | |
The (x,y,z) coordinates are translational DOFs while the orientations are rotational | |
DOFs expressed as quaternions. One can read more about free joints on the [Mujoco Documentation](https://mujoco.readthedocs.io/en/latest/XMLreference.html). | |
**Note:** Ant-v4 environment no longer has the following contact forces issue. | |
If using previous Humanoid versions from v4, there have been reported issues that using a Mujoco-Py version > 2.0 results | |
in the contact forces always being 0. As such we recommend to use a Mujoco-Py version < 2.0 | |
when using the Ant environment if you would like to report results with contact forces (if | |
contact forces are not used in your experiments, you can use version > 2.0). | |
### Rewards | |
The reward consists of three parts: | |
- *healthy_reward*: Every timestep that the ant is healthy (see definition in section "Episode Termination"), it gets a reward of fixed value `healthy_reward` | |
- *forward_reward*: A reward of moving forward which is measured as | |
*(x-coordinate before action - x-coordinate after action)/dt*. *dt* is the time | |
between actions and is dependent on the `frame_skip` parameter (default is 5), | |
where the frametime is 0.01 - making the default *dt = 5 * 0.01 = 0.05*. | |
This reward would be positive if the ant moves forward (in positive x direction). | |
- *ctrl_cost*: A negative reward for penalising the ant if it takes actions | |
that are too large. It is measured as *`ctrl_cost_weight` * sum(action<sup>2</sup>)* | |
where *`ctr_cost_weight`* is a parameter set for the control and has a default value of 0.5. | |
- *contact_cost*: A negative reward for penalising the ant if the external contact | |
force is too large. It is calculated *`contact_cost_weight` * sum(clip(external contact | |
force to `contact_force_range`)<sup>2</sup>)*. | |
The total reward returned is ***reward*** *=* *healthy_reward + forward_reward - ctrl_cost - contact_cost* and `info` will also contain the individual reward terms. | |
### Starting State | |
All observations start in state | |
(0.0, 0.0, 0.75, 1.0, 0.0 ... 0.0) with a uniform noise in the range | |
of [-`reset_noise_scale`, `reset_noise_scale`] added to the positional values and standard normal noise | |
with mean 0 and standard deviation `reset_noise_scale` added to the velocity values for | |
stochasticity. Note that the initial z coordinate is intentionally selected | |
to be slightly high, thereby indicating a standing up ant. The initial orientation | |
is designed to make it face forward as well. | |
### Episode End | |
The ant is said to be unhealthy if any of the following happens: | |
1. Any of the state space values is no longer finite | |
2. The z-coordinate of the torso is **not** in the closed interval given by `healthy_z_range` (defaults to [0.2, 1.0]) | |
If `terminate_when_unhealthy=True` is passed during construction (which is the default), | |
the episode ends when any of the following happens: | |
1. Truncation: The episode duration reaches a 1000 timesteps | |
2. Termination: The ant is unhealthy | |
If `terminate_when_unhealthy=False` is passed, the episode is ended only when 1000 timesteps are exceeded. | |
### Arguments | |
No additional arguments are currently supported in v2 and lower. | |
``` | |
env = gym.make('Ant-v2') | |
``` | |
v3 and v4 take gym.make kwargs such as xml_file, ctrl_cost_weight, reset_noise_scale etc. | |
``` | |
env = gym.make('Ant-v4', ctrl_cost_weight=0.1, ...) | |
``` | |
| Parameter | Type | Default |Description | | |
|-------------------------|------------|--------------|-------------------------------| | |
| `xml_file` | **str** | `"ant.xml"` | Path to a MuJoCo model | | |
| `ctrl_cost_weight` | **float** | `0.5` | Weight for *ctrl_cost* term (see section on reward) | | |
| `contact_cost_weight` | **float** | `5e-4` | Weight for *contact_cost* term (see section on reward) | | |
| `healthy_reward` | **float** | `1` | Constant reward given if the ant is "healthy" after timestep | | |
| `terminate_when_unhealthy` | **bool**| `True` | If true, issue a done signal if the z-coordinate of the torso is no longer in the `healthy_z_range` | | |
| `healthy_z_range` | **tuple** | `(0.2, 1)` | The ant is considered healthy if the z-coordinate of the torso is in this range | | |
| `contact_force_range` | **tuple** | `(-1, 1)` | Contact forces are clipped to this range in the computation of *contact_cost* | | |
| `reset_noise_scale` | **float** | `0.1` | Scale of random perturbations of initial position and velocity (see section on Starting State) | | |
| `exclude_current_positions_from_observation`| **bool** | `True`| Whether or not to omit the x- and y-coordinates from observations. Excluding the position can serve as an inductive bias to induce position-agnostic behavior in policies | | |
### Version History | |
* v4: all mujoco environments now use the mujoco bindings in mujoco>=2.1.3 | |
* v3: support for gym.make kwargs such as xml_file, ctrl_cost_weight, reset_noise_scale etc. rgb rendering comes from tracking camera (so agent does not run away from screen) | |
* v2: All continuous control environments now use mujoco_py >= 1.50 | |
* v1: max_time_steps raised to 1000 for robot based tasks. Added reward_threshold to environments. | |
* v0: Initial versions release (1.0.0) | |
""" | |
metadata = { | |
"render_modes": [ | |
"human", | |
"rgb_array", | |
"depth_array", | |
], | |
"render_fps": 20, | |
} | |
def __init__( | |
self, | |
xml_file="ant.xml", | |
ctrl_cost_weight=0.5, | |
use_contact_forces=False, | |
contact_cost_weight=5e-4, | |
healthy_reward=1.0, | |
terminate_when_unhealthy=True, | |
healthy_z_range=(0.2, 1.0), | |
contact_force_range=(-1.0, 1.0), | |
reset_noise_scale=0.1, | |
exclude_current_positions_from_observation=True, | |
**kwargs | |
): | |
utils.EzPickle.__init__( | |
self, | |
xml_file, | |
ctrl_cost_weight, | |
use_contact_forces, | |
contact_cost_weight, | |
healthy_reward, | |
terminate_when_unhealthy, | |
healthy_z_range, | |
contact_force_range, | |
reset_noise_scale, | |
exclude_current_positions_from_observation, | |
**kwargs | |
) | |
self._ctrl_cost_weight = ctrl_cost_weight | |
self._contact_cost_weight = contact_cost_weight | |
self._healthy_reward = healthy_reward | |
self._terminate_when_unhealthy = terminate_when_unhealthy | |
self._healthy_z_range = healthy_z_range | |
self._contact_force_range = contact_force_range | |
self._reset_noise_scale = reset_noise_scale | |
self._use_contact_forces = use_contact_forces | |
self._exclude_current_positions_from_observation = ( | |
exclude_current_positions_from_observation | |
) | |
obs_shape = 27 | |
if not exclude_current_positions_from_observation: | |
obs_shape += 2 | |
if use_contact_forces: | |
obs_shape += 84 | |
observation_space = Box( | |
low=-np.inf, high=np.inf, shape=(obs_shape,), dtype=np.float64 | |
) | |
MujocoEnv.__init__( | |
self, xml_file, 5, observation_space=observation_space, **kwargs | |
) | |
def healthy_reward(self): | |
return ( | |
float(self.is_healthy or self._terminate_when_unhealthy) | |
* self._healthy_reward | |
) | |
def control_cost(self, action): | |
control_cost = self._ctrl_cost_weight * np.sum(np.square(action)) | |
return control_cost | |
def contact_forces(self): | |
raw_contact_forces = self.data.cfrc_ext | |
min_value, max_value = self._contact_force_range | |
contact_forces = np.clip(raw_contact_forces, min_value, max_value) | |
return contact_forces | |
def contact_cost(self): | |
contact_cost = self._contact_cost_weight * np.sum( | |
np.square(self.contact_forces) | |
) | |
return contact_cost | |
def is_healthy(self): | |
state = self.state_vector() | |
min_z, max_z = self._healthy_z_range | |
is_healthy = np.isfinite(state).all() and min_z <= state[2] <= max_z | |
return is_healthy | |
def terminated(self): | |
terminated = not self.is_healthy if self._terminate_when_unhealthy else False | |
return terminated | |
def step(self, action): | |
xy_position_before = self.get_body_com("torso")[:2].copy() | |
self.do_simulation(action, self.frame_skip) | |
xy_position_after = self.get_body_com("torso")[:2].copy() | |
xy_velocity = (xy_position_after - xy_position_before) / self.dt | |
x_velocity, y_velocity = xy_velocity | |
forward_reward = x_velocity | |
healthy_reward = self.healthy_reward | |
rewards = forward_reward + healthy_reward | |
costs = ctrl_cost = self.control_cost(action) | |
terminated = self.terminated | |
observation = self._get_obs() | |
info = { | |
"reward_forward": forward_reward, | |
"reward_ctrl": -ctrl_cost, | |
"reward_survive": healthy_reward, | |
"x_position": xy_position_after[0], | |
"y_position": xy_position_after[1], | |
"distance_from_origin": np.linalg.norm(xy_position_after, ord=2), | |
"x_velocity": x_velocity, | |
"y_velocity": y_velocity, | |
"forward_reward": forward_reward, | |
} | |
if self._use_contact_forces: | |
contact_cost = self.contact_cost | |
costs += contact_cost | |
info["reward_ctrl"] = -contact_cost | |
reward = rewards - costs | |
if self.render_mode == "human": | |
self.render() | |
return observation, reward, terminated, False, info | |
def _get_obs(self): | |
position = self.data.qpos.flat.copy() | |
velocity = self.data.qvel.flat.copy() | |
if self._exclude_current_positions_from_observation: | |
position = position[2:] | |
if self._use_contact_forces: | |
contact_force = self.contact_forces.flat.copy() | |
return np.concatenate((position, velocity, contact_force)) | |
else: | |
return np.concatenate((position, velocity)) | |
def reset_model(self): | |
noise_low = -self._reset_noise_scale | |
noise_high = self._reset_noise_scale | |
qpos = self.init_qpos + self.np_random.uniform( | |
low=noise_low, high=noise_high, size=self.model.nq | |
) | |
qvel = ( | |
self.init_qvel | |
+ self._reset_noise_scale * self.np_random.standard_normal(self.model.nv) | |
) | |
self.set_state(qpos, qvel) | |
observation = self._get_obs() | |
return observation | |
def viewer_setup(self): | |
assert self.viewer is not None | |
for key, value in DEFAULT_CAMERA_CONFIG.items(): | |
if isinstance(value, np.ndarray): | |
getattr(self.viewer.cam, key)[:] = value | |
else: | |
setattr(self.viewer.cam, key, value) | |