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exciting-environments

Overview

The exctiting-environments package is a toolbox for the simulation of physical differential equations wrapped into Gymnasium environments using Jax. Due to the possible just-in-time compilation of JAX, this type of implementation offers great advantages in terms of simulation speed.

Getting Started

A basic routine is as simple as:

import jax.numpy as jnp
import exciting_environments as excenvs

env = excenvs.make("Pendulum-v0", batch_size=5, action_constraints={"torque": 15}, tau=2e-2) 
obs, state = env.reset()

actions = jnp.linspace(start=-1, stop=1, num=1000)[None, :, None]
actions = actions.repeat(env.batch_size, axis=0)

observations = []
observations.append(obs)

for idx in range(actions.shape[1]):
    obs, reward, terminated, truncated, state = env.vmap_step(
        state, actions[:, idx, :]
    )
    observations.append(obs)
observations = jnp.stack(observations, axis=1)

print("actions shape:", actions.shape)
print("observations shape:", observations.shape)

which produces $5$ identical trajectories in parallel:

example_trajectory_pendulum

alternatively, simulate full trajectories:

import jax.numpy as jnp
import exciting_environments as excenvs
import diffrax

env = excenvs.make(
    "Pendulum-v0", solver=diffrax.Tsit5(), batch_size=5, action_constraints={"torque": 15}, tau=2e-2
) 
obs, state = env.reset()

actions = jnp.linspace(start=-1, stop=1, num=2000)[None, :, None]
actions = actions.repeat(env.batch_size, axis=0)

observations, rewards, terminations, truncations, last_state = env.vmap_sim_ahead(
    init_state=state,
    actions=actions,
    obs_stepsize=env.tau,
    action_stepsize=env.tau
)

print("actions shape:", actions.shape)
print("observations shape:", observations.shape)

which produces $5$ identical trajectories in parallel as well:

example_trajectory_pendulum

Note that in this case the Tsit5 ODE solver instead of the default explicit Euler is used. All solvers used here are from the diffrax library (https://docs.kidger.site/diffrax/).

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Physical differential equations wrapped into Gymnasium environments

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