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run_quad_gp_evaluation.py
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run_quad_gp_evaluation.py
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import numpy as np
import os
import pickle
import sys
import time
from numpy import linspace, ones, array, zeros
from numpy.random import seed
from matplotlib import pyplot as plt
from matplotlib.pyplot import Circle, plot
import matplotlib.patches as patches
import torch
import gpytorch
from src.quadrotor.controllers.filter_controller_qcqp import FilterControllerQCQP
from src.quadrotor.controllers.filter_controller import FilterController
from src.quadrotor.utils import initializeSystemAndController, simulateSafetyFilter
from src.quadrotor.torch.utils import initializeSafetyFilter
from src.utils import generateQuadPoints, findSafetyData, findLearnedQuadSafetyData_gp, downsample, standardize
from utils.print_logger import PrintLogger
from src.quadrotor.handlers import CombinedController
from src.quadrotor.torch.handlers import LearnedQuadSafety_gpy, ExactGPModel
from src.plotting.plotting import plotQuadStatesv2, make_animation, plotQuadTrajectory
device = torch.device('cuda:0' if torch.cuda.is_available() else 'cpu')
#device = 'cpu'
print("Device", device)
def run_qualitative_evaluation(quad, quad_true, flt_est, flt_true, sqp_true, safety_learned, safety_est,
safety_true, x_d, figure_dir):
# Phase Plane Plotting
freq = 200 # Hz
tend = 14
ts_post_qp = linspace(0, tend, tend*freq + 1)
x_0s_test = np.zeros((2, 6))
x_0s_test[0, :] = array([0, -1, 0., 0., 0., 0.])
x_0s_test[1, :] = array([0.5, -0.5, 0., 0., 0., 0.])
for i in range(2):
print("Test ", i)
x_0_test = x_0s_test[i, :]
_, qp_truetrue_data, qp_trueest_data, _ = simulateSafetyFilter(x_0=x_0_test, quad_true=quad_true, quad=quad, flt_true=flt_true, flt_est=flt_est)
xs_qp_trueest, _ = qp_trueest_data
xs_qp_truetrue, _ = qp_truetrue_data
# Safe Set
f = plt.figure(figsize=(5, 4))
ax = f.gca()
savename = figure_dir + "/learned_pp_run{}.png".format(str(i))
for z_index, delta in enumerate([0, 0.5, 1.0, 2.0]):
flt_learned = FilterControllerQCQP( safety_learned, sqp_true, delta=delta)
start_time = time.time()
qp_data_post = quad_true.simulate(x_0_test, flt_learned, ts_post_qp)
end_time = time.time()
print('Average control cycle time: ', (end_time-start_time)/(tend*freq))
xs_post_qp, _ = qp_data_post
# Final Result
plot(xs_post_qp[:, 0], xs_post_qp[:, 1], 'b', linewidth=1.5, label='ProBF-GP ' + '$\\delta=$' + str(delta), alpha=float((z_index+1))/4.0)
pickle.dump( xs_post_qp, open( figure_dir + "/learned_pp_run{}_delta{}.pkl".format(str(i), str(delta)) , 'wb') )
plot(xs_qp_trueest[:, 0], xs_qp_trueest[:, 1], 'g', label='Nominal Model')
plot(xs_qp_truetrue[:, 0], xs_qp_truetrue[:, 1], 'k', label='True model')
# Create a Rectangle patch
rect = patches.Rectangle((-0.5, -1.5), 1.0, 1.0, linewidth=1, edgecolor='k', facecolor='b', alpha=0.3)
# Add the patch to the Axes
ax.add_patch(rect)
obstacle_position = safety_true.obstacle_position
rad_square = safety_true.obstacle_radius2
circle = Circle((obstacle_position[0], obstacle_position[1]), np.sqrt(rad_square),color="y")
ax.add_patch(circle)
ax.plot(x_d[0, :], x_d[1, :], 'k*', label='Desired')
ax.set_xticks([-2, obstacle_position[0], x_d[0, 0], 13])
ax.set_yticks([-2, obstacle_position[1], x_d[1, 0], 15])
ax.set_ylabel('Y position')
ax.set_xlabel('X position')
ax.set_xlim([-2, 13])
ax.set_ylim([-2, 15])
ax.legend(ncol=3, fontsize=7)
ax.set_title('Quadrotor Safety', fontsize = 8)
f.savefig(savename, bbox_inches='tight')
def run_full_evaluation(rnd_seed, quad, quad_true, flt_est, flt_true, sqp_true, state_data, safety_learned, safety_est,
safety_true, x_0s_test, num_tests, num_episodes, save_dir):
# test for 10 different random points
num_violations = 0
flt_learned = FilterControllerQCQP( safety_learned, sqp_true, delta=1.0)
trueest_violations = 0
truetrue_violations = 0
for i in range(num_tests):
# Learned Controller Simulation
# Use Learned Controller
print("Test", i)
x_0_test = x_0s_test[i,:]
_, qp_truetrue_data, qp_trueest_data, ts_qp = simulateSafetyFilter(x_0=x_0_test, quad_true=quad_true, quad=quad, flt_true=flt_true, flt_est=flt_est)
hs_qp_truetrue, _, _, hdots_qp_truetrue = findSafetyData(safety_true, qp_truetrue_data, ts_qp)
hs_qp_trueest, _, _, hdots_qp_trueest = findSafetyData(safety_est, qp_trueest_data, ts_qp)
xs_qp_trueest, us_qp_trueest = qp_trueest_data
xs_qp_truetrue, us_qp_truetrue = qp_truetrue_data
freq = 200 # Hz
tend = 14
ts_post_qp = linspace(0, tend, tend*freq + 1)
qp_data_post = quad_true.simulate(x_0_test, flt_learned, ts_post_qp)
xs_post_qp, us_post_qp = qp_data_post
savename = save_dir+"residual_predict_seed{}_run{}.pdf".format(str(rnd_seed),str(i))
_, _, hdots_learned_post_qp, hs_post_qp, _ = findLearnedQuadSafetyData_gp(safety_learned, qp_data_post, ts_post_qp)
# check violation of safety
if np.any(hs_post_qp < 0.0):
num_violations += 1
if np.any(hs_qp_trueest<0):
trueest_violations += 1
if np.any(hs_qp_truetrue<0):
truetrue_violations += 1
#_, drifts_post_qp, acts_post_qp, hdots_post_qp = findSafetyData(safety_est, qp_data_post, ts_post_qp)
#_, drifts_true_post_qp, acts_true_post_qp, hdots_true_post_qp = findSafetyData(safety_true, qp_data_post, ts_post_qp)
# Plotting
savename = save_dir + "learned_controller_seed{}_run{}.png".format(str(rnd_seed),str(i))
fig2, axes2 = plt.subplots(2, 3, figsize=(13,8))
plotQuadStatesv2(axes2, ts_qp, xs_qp_trueest, us_qp_trueest, hs_qp_trueest, hdots_qp_trueest, label='TrueEst', clr='r')
plotQuadStatesv2(axes2, ts_qp, xs_qp_truetrue, us_qp_truetrue, hs_qp_truetrue, hdots_qp_truetrue, label='TrueTrue', clr='g')
plotQuadStatesv2(axes2, ts_qp, xs_post_qp, us_post_qp, hs_post_qp, hdots_learned_post_qp, label='ProBF-GP', clr='b')
fig2.savefig(savename)
# Trajectory Plotting
savename = save_dir+"learned_traj_seed{}_run{}.png".format(str(rnd_seed), str(i))
pickle.dump(xs_post_qp, open(savename[0:-4]+".p", "wb"))
plotQuadTrajectory(state_data, num_episodes, xs_post_qp=xs_post_qp, xs_qp_trueest=xs_qp_trueest, xs_qp_truetrue=xs_qp_truetrue,
obstacle_position=safety_true.obstacle_position, rad_square=safety_true.obstacle_radius2, x_d=sqp_true.affine_dynamics_position.x_d,
savename=savename, title_label='ProBF-GP')
# record violations
print("seed: {}, num of violations: {}".format(rnd_seed, str(num_violations)))
print("Trueest violations", trueest_violations)
print("Truetrue violations", truetrue_violations)
return num_violations
def run_quadrotor_gp_training(rnd_seed, num_episodes, num_tests, save_dir, run_quant_evaluation=True, run_qual_evaluation=False):
fileh = open(save_dir+"viol.txt","w",buffering=5)
seed(rnd_seed)
freq = 200
tend = 14
ts_qp = linspace(0, tend, tend*freq + 1)
x_d = array([8*ones((ts_qp.size, )), 9*ones((ts_qp.size,))])
x_dd = zeros((2, ts_qp.size))
quad, quad_true, sqp_true = initializeSystemAndController(x_d=x_d, x_dd=x_dd, freq=freq, ts_qp=ts_qp)
obstacle_position = array([1.5, 6])
obstacle_rad2 = 4.0
cbf_gamma = 1.2
cbf_beta = 1.1
safety_est, safety_true, flt_est, flt_true = initializeSafetyFilter(quad=quad, quad_true=quad_true, sqp_true=sqp_true,
obstacle_position=obstacle_position, obstacle_rad2=obstacle_rad2,
cbf_gamma=cbf_gamma, cbf_beta=cbf_beta)
x_0 = array([0.0, -1.0, 0, 0, 0, 0])
ic_prec = 0.5
d_drift_in_seg = 6
d_act_in_seg = 6
d_out_seg = 1
us_scale = array([1.0, 1.0])
# initial points Setup
x_0s = generateQuadPoints(x_0, num_episodes, ic_prec)
# initial points for testing
x_0s_test = generateQuadPoints(x_0, num_tests, ic_prec)
print('x_0s:', x_0s)
print('x_0s_test:', x_0s_test)
safety_learned = LearnedQuadSafety_gpy(safety_est, device=device)
# Episodic Parameters
weights = linspace(0, 1, num_episodes)
# Controller Setup
flt_baseline = FilterController( safety_est, sqp_true)
flt_learned = FilterController( safety_est, sqp_true )
# Data Storage Setup
state_data = [zeros((0, 6))]
data = safety_learned.init_data(d_drift_in_seg, d_act_in_seg, 2, d_out_seg)
# Episodic Learning
# Iterate through each episode
for i in range(num_episodes):
print("Episode:", i+1)
# Controller Combination
flt_combined = CombinedController( flt_baseline, flt_learned, array([1-weights[i], weights[i]]) )
# Simulation
x_0 = x_0s[i,:]
print("x_0", x_0)
sim_data = quad_true.simulate(x_0, flt_combined, ts_qp)
# Data Handling
xs, us = sim_data
data_episode = safety_learned.process_episode(xs, us, ts_qp)
state_data = [np.concatenate((old, new)) for old, new in zip(state_data, [xs])]
data = [np.concatenate((old, new)) for old, new in zip(data, data_episode)]
drift_inputs_long, act_inputs_long, us_long, residuals_long = data
downsample_rate = 8
drift_inputs, _, us, residuals = downsample([drift_inputs_long, act_inputs_long, us_long, residuals_long], downsample_rate)
normalized_data, preprocess_mean, preprocess_std = standardize(drift_inputs)
us_scale = array([[1, 1]])
input_data = np.concatenate((us, normalized_data),axis=1)
#residuals = residuals.ravel() + 0.01*np.random.randn(residuals.size,)
ndata = input_data.shape[0]
print("Number of data points: ", ndata)
likelihood = gpytorch.likelihoods.GaussianLikelihood()
likelihood.noise = 0.01
input_data_tensor = torch.from_numpy(input_data).float()
residuals_tensor = torch.from_numpy(residuals.ravel()).float()
residual_model = ExactGPModel(input_data_tensor, residuals_tensor, likelihood)
if i >=5:
adam_lr = 0.006
training_iter = 200
else:
adam_lr = 0.009
training_iter = 200
# load to gpu if possible
if device!="cpu":
input_data_tensor = input_data_tensor.to(device)
residuals_tensor = residuals_tensor.to(device)
residual_model.k11 = residual_model.k11.to(device)
residual_model.k12 = residual_model.k12.to(device)
residual_model.k2 = residual_model.k2.to(device)
residual_model = residual_model.to(device)
likelihood = likelihood.to(device)
residual_model.train()
likelihood.train()
# Use the adam optimizer
optimizer = torch.optim.Adam([
{'params': residual_model.parameters()}, # Includes GaussianLikelihood parameters
], lr=adam_lr)
# "Loss" for GPs - the marginal log likelihood
mll = gpytorch.mlls.ExactMarginalLogLikelihood(likelihood, residual_model)
#:
with gpytorch.settings.max_cg_iterations(10000), gpytorch.settings.cholesky_jitter(1e-4), gpytorch.settings.max_preconditioner_size(15):
for i in range(training_iter):
# Zero gradients from previous iteration
optimizer.zero_grad()
# Output from model
output = residual_model(input_data_tensor)
#print(output)
# Calc loss and backprop gradients
#gpytorch.settings.max_cg_iterations(10000)
loss = -mll(output, residuals_tensor)
loss.backward()
if(i%5==0):
print("Loss",loss)
print('Iter %d/%d - Loss: %.3f noise: %.3f' % (
i + 1, training_iter, loss.item(),
residual_model.likelihood.noise.item()
))
optimizer.step()
safety_learned = LearnedQuadSafety_gpy(safety_est, device=device)
safety_learned.residual_model = residual_model
safety_learned.us_scale = us_scale
safety_learned.Kinv = torch.pinverse( residual_model.covar_module( input_data_tensor ).evaluate()
+ residual_model.likelihood.noise.item()*torch.eye( input_data_tensor.shape[0] ).to(device) )
safety_learned.alpha = torch.matmul(safety_learned.Kinv, torch.from_numpy(residuals).float().to(device) )
safety_learned.input_data_tensor = input_data_tensor
safety_learned.preprocess_mean = torch.from_numpy( preprocess_mean[0] )
safety_learned.preprocess_std = torch.from_numpy( preprocess_std[0] )
# Controller Update
flt_learned = FilterControllerQCQP( safety_learned, sqp_true, delta=0.0)
num_violations = None
if run_quant_evaluation:
figure_quant_dir = save_dir + "quant/"
if not os.path.isdir(figure_quant_dir):
os.mkdir(figure_quant_dir)
num_violations = run_full_evaluation(rnd_seed, quad=quad, quad_true=quad_true, flt_est=flt_est, flt_true=flt_true, sqp_true=sqp_true, state_data=state_data,
safety_learned=safety_learned, safety_est=safety_est, safety_true=safety_true,
x_0s_test=x_0s_test, num_tests=num_tests, num_episodes=num_episodes, save_dir=figure_quant_dir)
if run_qual_evaluation:
figure_qual_dir = save_dir + "qual/"
if not os.path.isdir(figure_qual_dir):
os.mkdir(figure_qual_dir)
run_qualitative_evaluation(quad=quad, quad_true=quad_true, flt_est= flt_est, flt_true=flt_true, sqp_true=sqp_true,
safety_learned=safety_learned, safety_true=safety_true, safety_est=safety_est, x_d=x_d, figure_dir=figure_qual_dir)
flt_learned = FilterControllerQCQP( safety_learned, sqp_true, delta=0.5)
return num_violations, flt_learned
def test_quadrotor_cbf(rnd_seed, work_dir, flt_learned=None):
seed(rnd_seed)
# initial points for testing
x_0 = array([0.0, -1.0, 0, 0, 0, 0])
num_tests = 50
ic_prec = 0.5
x_0s_test = generateQuadPoints(x_0, num_tests, ic_prec)
freq = 200
tend = 14
ts_qp = linspace(0, tend, tend*freq + 1)
x_d = array([8*ones((ts_qp.size, )), 9*ones((ts_qp.size,))])
x_dd = zeros((2, ts_qp.size))
quad, quad_true, sqp_true = initializeSystemAndController(x_d, x_dd, freq, ts_qp)
obstacle_position = array([1.5, 6])
obstacle_rad2 = 4.0
cbf_gamma = 1.2
cbf_beta = 1.1
safety_est, safety_true, flt_est, flt_true = initializeSafetyFilter(quad, quad_true, sqp_true, obstacle_position=obstacle_position, obstacle_rad2=obstacle_rad2
,cbf_gamma=cbf_gamma, cbf_beta=cbf_beta)
truetrue_violations = 0
trueest_violations = 0
fig1 = plt.figure(figsize=(5, 4))
ax1 = plt.gca()
for j in range(num_tests):
x_0_test = x_0s_test[j, :]
sim_data = quad_true.simulate(x_0_test, sqp_true, ts_qp)
xs_qp_nocbf, _ = sim_data
_, qp_truetrue_data, qp_trueest_data, ts_qp = simulateSafetyFilter(x_0=x_0_test, quad_true=quad_true, quad=quad, flt_true=flt_true, flt_est=flt_est)
#qp_truetrue_data = quad_true.simulate(x_0_test, flt_true, ts_qp)
xs_qp_truetrue, us_qp_truetrue = qp_truetrue_data
#qp_trueest_data = quad_true.simulate(x_0_test, flt_est, ts_qp)
xs_qp_trueest, us_qp_trueest = qp_trueest_data
if(flt_learned is not None):
qp_learned_data = quad_true.simulate(x_0_test, flt_learned, ts_qp)
xs_learned, _ = qp_learned_data
if j==0:
ax1.plot(xs_learned[:, 0], xs_learned[:, 1], 'b', linewidth=1, label='ProBF-GP')
else:
ax1.plot(xs_learned[:, 0], xs_learned[:, 1], 'b', linewidth=1)
hs_qp_truetrue, _, _, hdots_qp_truetrue = findSafetyData(safety_true, qp_truetrue_data, ts_qp)
hs_qp_trueest, _, _, hdots_qp_trueest = findSafetyData(safety_est, qp_trueest_data, ts_qp)
if np.any(hs_qp_trueest<0):
trueest_violations += 1
if np.any(hs_qp_truetrue<0):
truetrue_violations += 1
if(j==0):
ax1.plot(xs_qp_nocbf[:, 0], xs_qp_nocbf[:, 1], 'k--', linewidth=1, label='No CBF')
ax1.plot(xs_qp_truetrue[:, 0], xs_qp_truetrue[:, 1], 'b', linewidth=1, label='True model')
ax1.plot(xs_qp_trueest[:, 0], xs_qp_trueest[:, 1], 'g', linewidth=1, label='Nominal model')
else:
ax1.plot(xs_qp_nocbf[:, 0], xs_qp_nocbf[:, 1], 'k--', linewidth=1)
ax1.plot(xs_qp_truetrue[:, 0], xs_qp_truetrue[:, 1], 'b', linewidth=1)
ax1.plot(xs_qp_trueest[:, 0], xs_qp_trueest[:, 1], 'g', linewidth=1)
fig2, axes2 = plt.subplots(2, 3, figsize=(13,8))
plotQuadStatesv2(axes2, ts_qp, xs_qp_trueest, us_qp_trueest, hs_qp_trueest, hdots_qp_trueest, label='Nominal model', clr='g')
plotQuadStatesv2(axes2, ts_qp, xs_qp_truetrue, us_qp_truetrue, hs_qp_truetrue, hdots_qp_truetrue, label='True model', clr='b')
fig2.savefig(os.path.join(work_dir, str(rnd_seed) + '_' + 'run' + str(j) + 'quadrotor_states.png'))
plt.close()
if(j==0):
make_animation(xs_qp_truetrue, x_d, obstacle_position, obstacle_rad2, fig_folder=os.path.join(work_dir,'animation/'))
circle = Circle((obstacle_position[0], obstacle_position[1]), np.sqrt(obstacle_rad2), color="y")
ax1.add_patch(circle)
ax1.plot(x_d[0, :], x_d[1, :], 'k*', label='Desired')
ax1.set_xticks([-2.0, obstacle_position[0], x_d[0, 0], 13.0])
ax1.set_yticks([-2.0, obstacle_position[1], x_d[1, 0], 13.0])
ax1.set_ylabel('Y position')
ax1.set_xlabel('X position')
ax1.set_xlim([-2, 13])
ax1.set_ylim([-2, 13])
ax1.legend()
rect = patches.Rectangle((x_0[0]-ic_prec, x_0[1]-ic_prec), 2*ic_prec, 2*ic_prec, linewidth=1, edgecolor='k', facecolor='b', alpha=0.3, label='Initial region')
ax1.add_patch(rect)
fig1.savefig(os.path.join(work_dir, 'quadrotor_trajectory.png'))
plt.close()
print('True True violations', truetrue_violations)
print('True Est violations', trueest_violations)
if __name__=='__main__':
#rnd_seed_list = [345, 123, 678, 567]
rnd_seed_list = [ 123, 234, 345, 456, 678 ]
#rnd_seed_list = [123]
# Episodic Learning Setup
experiment_name = "check_probfGP"
parent_path = "/scratch/gpfs/arkumar/ProBF/"
parent_path = os.path.join(parent_path, experiment_name)
baseline_dir = os.path.join(parent_path, "baseline")
if not os.path.isdir(parent_path):
os.mkdir(parent_path)
os.mkdir(baseline_dir)
os.mkdir( os.path.join(parent_path, "exps") )
os.mkdir( os.path.join(parent_path, "models") )
figure_path = os.path.join(parent_path, "exps/quad_modular_gp/")
model_path = os.path.join(parent_path, "models/quad_modular_gp/")
if not os.path.isdir(figure_path):
os.mkdir(figure_path)
if not os.path.isdir(model_path):
os.mkdir(model_path)
#test_quadrotor_cbf(56, baseline_dir)
num_violations_list = []
num_episodes = 7
num_tests = 10
print_logger = None
for rnd_seed in rnd_seed_list:
dirs = figure_path + str(rnd_seed) + "/"
if not os.path.isdir(dirs):
os.mkdir(dirs)
print_logger = PrintLogger(os.path.join(dirs, 'log.txt'))
sys.stdout = print_logger
sys.stderr = print_logger
num_violations, flt_learned = run_quadrotor_gp_training(rnd_seed, num_episodes, num_tests, dirs, run_quant_evaluation=False, run_qual_evaluation=True)
num_violations_list.append(num_violations)
print_logger.reset(os.path.join(figure_path, 'log.txt'))
print_logger.reset(os.path.join(figure_path, 'log.txt'))
#test_quadrotor_cbf(479, baseline_dir, flt_learned)
print("num_violations_list: ", num_violations_list)
#test_quadrotor_cbf(56, baseline_dir, flt_learned)