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import os
import numpy as np
import cvxpy as cp
from cvxpy import quad_form
import torch
import torch.optim as optim
import torch.nn.functional as F
from physics_engine import RopeEngine, SoftEngine, SwimEngine
from data import load_data, normalize, denormalize
from models.CompositionalKoopmanOperators import CompositionalKoopmanOperators, regularize_state_Soft
from models.KoopmanBaselineModel import KoopmanBaseline
from utils import to_var, to_np, Tee, norm, get_flat, print_args
from progressbar import ProgressBar
from config import gen_args
from socket import gethostname
args = gen_args()
os.system("mkdir -p " + args.shootf)
log_path = os.path.join(args.shootf, 'log.txt')
tee = Tee(log_path, 'w')
print_args(args)
print(f"Load stored dataset statistics from {args.stat_path}!")
stat = load_data(args.data_names, args.stat_path)
data_names = ['attrs', 'states', 'actions']
prepared_names = ['attrs', 'states', 'actions', 'rel_attrs']
data_dir = os.path.join(args.dataf, args.shoot_set)
if args.shoot_set == 'extra' and gethostname().startswith('netmit'):
data_dir = args.dataf + '_' + args.shoot_set
'''
model
'''
# build model
use_gpu = torch.cuda.is_available()
if not args.baseline:
""" Koopman model"""
model = CompositionalKoopmanOperators(args, residual=False, use_gpu=use_gpu)
# load pretrained checkpoint
if args.shoot_epoch == -1:
model_path = os.path.join(args.outf, 'net_best.pth')
else:
model_path = os.path.join(args.outf, 'net_epoch_%d_iter_%d.pth' % (args.shoot_epoch, args.shoot_iter))
print("Loading saved ckp from %s" % model_path)
model.load_state_dict(torch.load(model_path, map_location=torch.device('cuda:0' if use_gpu else 'cpu')))
model.eval()
if use_gpu: model.cuda()
else:
""" Koopman Baselinese """
model = KoopmanBaseline(args)
'''
shoot
'''
if args.env == 'Rope':
engine = RopeEngine(args.dt, args.state_dim, args.action_dim, args.param_dim)
elif args.env == 'Soft':
engine = SoftEngine(args.dt, args.state_dim, args.action_dim, args.param_dim)
elif args.env == 'Swim':
engine = SwimEngine(args.dt, args.state_dim, args.action_dim, args.param_dim)
else:
assert False
def get_more_trajectories(roll_idx):
group_idx = roll_idx // args.group_size
offset = group_idx * args.group_size
all_seq = [[], [], [], []]
for i in range(1, args.fit_num + 1):
new_idx = (roll_idx + i - offset) % args.group_size + offset
seq_data = load_data(prepared_names, os.path.join(data_dir, str(new_idx) + '.rollout.h5'))
for j in range(4):
all_seq[j].append(seq_data[j])
all_seq = [np.array(all_seq[j], dtype=np.float32) for j in range(4)]
return all_seq
def mpc_qp(g_cur, g_goal, time_cur, T, rel_attrs, A_t, B_t, Q, R, node_attrs=None,
actions=None, gt_info=None):
"""
Model Predictive Control + Quadratic Programming
:param rel_attrs: N x N x relation_dim
:param node_attrs: N x attributes_dim
:return action sequence u: T - 1 x N x action_dim
"""
n_obj = engine.num_obj
constraints = []
if not args.baseline:
D = args.g_dim
else:
D = g_goal.shape[-1]
if args.fit_type == 'structured':
dim_a = args.action_dim
g = cp.Variable((T * n_obj, D))
u = cp.Variable(((T - 1) * n_obj, args.action_dim))
augG = cp.Variable(((T - 1) * n_obj, D * args.relation_dim))
augU = cp.Variable(((T - 1) * n_obj, args.action_dim * args.relation_dim))
for t in range(T - 1):
st_idx = t * n_obj
ed_idx = (t + 1) * n_obj
for r in range(args.relation_dim):
constraints.append(augG[st_idx:ed_idx, r * D: (r + 1) * D] ==
rel_attrs[:, :, r] @ g[st_idx:ed_idx])
for r in range(args.relation_dim):
constraints.append(augU[st_idx:ed_idx, r * dim_a: (r + 1) * dim_a] ==
rel_attrs[:, :, r] @ u[st_idx:ed_idx])
cost = 0
for idx in range(n_obj):
# constrain the initial g
constraints.append(g[idx] == g_cur[idx])
for t in range(1, T):
cur_idx = t * n_obj + idx
prv_idx = (t - 1) * n_obj + idx
zero_normed = -stat[2][:, 0] / stat[2][:, 1]
act_scale_max_normed = (args.act_scale - stat[2][:, 0]) / stat[2][:, 1]
act_scale_min_normed = (- args.act_scale - stat[2][:, 0]) / stat[2][:, 1]
constraints.append(u[prv_idx] >= act_scale_min_normed)
constraints.append(u[prv_idx] <= act_scale_max_normed)
if args.env == 'Rope':
if idx == 0:
# first mass: action_y = 0 (no action_y now)
pass
else:
# other mass: action_x = action_y = 0
constraints.append(u[prv_idx][:] == zero_normed)
elif args.env in ['Soft', 'Swim']:
if node_attrs[idx, 0] < 1e-6:
# if there is no actuation
constraints.append(u[prv_idx][:] == zero_normed)
else:
pass
constraints.append(g[cur_idx] == A_t @ augG[prv_idx] + B_t @ augU[prv_idx])
# penalize large actions
cost += quad_form(u[prv_idx] - zero_normed, R)
cost += quad_form(g[(T - 1) * n_obj + idx] - g_goal[idx], Q)
elif args.fit_type == 'unstructured':
zero_normed = -stat[2][:, 0] / stat[2][:, 1]
g = cp.Variable((T, n_obj * args.g_dim))
u = cp.Variable((T - 1, n_obj * args.action_dim))
cost = 0
constraints.append(g[0] == g_cur.ravel())
for t in range(1, T):
act_scale_normed = (args.act_scale - stat[2][:, 0]) / stat[2][:, 1]
act_scale_normed = np.repeat(act_scale_normed, n_obj, 0)
constraints.append(u[t - 1] >= - act_scale_normed)
constraints.append(u[t - 1] <= act_scale_normed)
if args.env == 'Rope':
# set action on balls to zeros expect the first one
for idx in range(1, n_obj):
constraints.append(u[t - 1][idx] == zero_normed)
elif args.env in ['Soft', 'Swim']:
for idx in range(0, n_obj):
if node_attrs[idx, 0] < 1e-6:
constraints.append(u[t - 1][idx * args.action_dim: (idx + 1) * args.action_dim] == zero_normed)
constraints.append(g[t] == A_t @ g[t - 1] + B_t @ u[t - 1])
for i in range(n_obj):
cost += quad_form(u[t - 1][i * args.action_dim:(i + 1) * args.action_dim] - zero_normed, R)
for i in range(n_obj):
cost += quad_form(g[T - 1][i * args.g_dim:(i + 1) * args.g_dim] - g_goal[i], Q)
elif args.fit_type == 'diagonal':
zero_normed = -stat[2][:, 0] / stat[2][:, 1]
g = cp.Variable((T, n_obj * args.g_dim))
u = cp.Variable((T - 1, n_obj * args.action_dim))
cost = 0
constraints.append(g[0] == g_cur.ravel())
for t in range(1, T):
act_scale_normed = (args.act_scale - stat[2][:, 0]) / stat[2][:, 1]
act_scale_normed = np.repeat(act_scale_normed, n_obj, 0)
constraints.append(u[t - 1] >= - act_scale_normed)
constraints.append(u[t - 1] <= act_scale_normed)
if args.env == 'Rope':
# set action on balls to zeros expect the first one
for idx in range(1, n_obj):
constraints.append(u[t - 1][idx] == zero_normed)
elif args.env in ['Soft', 'Swim']:
for idx in range(0, n_obj):
if node_attrs[idx, 0] < 1e-6:
constraints.append(u[t - 1][idx * args.action_dim: (idx + 1) * args.action_dim] == zero_normed)
for i in range(n_obj):
t1 = A_t @ g[t - 1][i * args.g_dim:(i + 1) * args.g_dim]
t2 = B_t @ u[t - 1][i * args.action_dim:(i + 1) * args.action_dim]
if args.env == 'Rope':
t2 = t2[:, 0]
constraints.append(g[t][i * args.g_dim:(i + 1) * args.g_dim] == t1 + t2)
cost += quad_form(u[t - 1][i * args.action_dim:(i + 1) * args.action_dim] - zero_normed, R)
for i in range(n_obj):
cost += quad_form(g[T - 1][i * args.g_dim:(i + 1) * args.g_dim] - g_goal[i], Q)
objective = cp.Minimize(cost)
prob = cp.Problem(objective, constraints)
result = prob.solve()
u_val = u.value
g_val = g.value
u = u_val.reshape(T - 1, n_obj, args.action_dim)
u = denormalize([u], [stat[2]])[0]
g = g_val.reshape(T, n_obj, D)
return u
def shoot_mpc_qp(roll_idx):
print(f'\n=== Model Based Control on Example {roll_idx} ===')
'''
load data
'''
seq_data = load_data(prepared_names, os.path.join(data_dir, str(roll_idx) + '.rollout.h5'))
attrs, states, actions, rel_attrs = [to_var(d.copy(), use_gpu=use_gpu) for d in seq_data]
seq_data = denormalize(seq_data, stat)
attrs_gt, states_gt, actions_gt = seq_data[:3]
'''
setup engine
'''
param_file = os.path.join(data_dir, str(roll_idx // args.group_size) + '.param')
param = torch.load(param_file)
engine.init(param)
n_obj = engine.num_obj
'''
fit koopman
'''
print('===> system identification!')
fit_data = get_more_trajectories(roll_idx)
fit_data = [to_var(d, use_gpu=use_gpu) for d in fit_data]
bs = args.fit_num
attrs_flat = get_flat(fit_data[0])
states_flat = get_flat(fit_data[1])
actions_flat = get_flat(fit_data[2])
rel_attrs_flat = get_flat(fit_data[3])
g = model.to_g(attrs_flat, states_flat, rel_attrs_flat, args.pstep)
g = g.view(torch.Size([bs, args.time_step]) + g.size()[1:])
G_tilde = g[:, :-1]
H_tilde = g[:, 1:]
U_left = fit_data[2][:, :-1]
G_tilde = get_flat(G_tilde, keep_dim=True)
H_tilde = get_flat(H_tilde, keep_dim=True)
U_left = get_flat(U_left, keep_dim=True)
A, B, fit_err = model.system_identify(G=G_tilde, H=H_tilde, U=U_left,
rel_attrs=fit_data[3][:1, 0], I_factor=args.I_factor)
'''
shooting
'''
print('===> model based control start!')
# current can not set engine to a middle state
assert args.roll_start == 0
start_step = args.roll_start
g_start_v = model.to_g(attrs=attrs[start_step:start_step + 1], states=states[start_step:start_step + 1],
rel_attrs=rel_attrs[start_step:start_step + 1], pstep=args.pstep)
g_start = to_np(g_start_v[0])
if args.env == 'Rope':
goal_step = args.roll_step + args.roll_start
elif args.env == 'Soft':
goal_step = args.roll_step + args.roll_start
elif args.env == 'Swim':
goal_step = args.roll_step + args.roll_start
g_goal_v = model.to_g(attrs=attrs[goal_step:goal_step + 1], states=states[goal_step:goal_step + 1],
rel_attrs=rel_attrs[goal_step:goal_step + 1], pstep=args.pstep)
g_goal = to_np(g_goal_v[0])
states_start = states_gt[start_step]
states_goal = states_gt[goal_step]
states_roll = np.zeros((args.roll_step + 1, n_obj, args.state_dim))
states_roll[0] = states_start
control = np.zeros((args.roll_step + 1, n_obj, args.action_dim))
# control_v = to_var(control, use_gpu, requires_grad=True)
bar = ProgressBar()
for step in bar(range(args.roll_step)):
states_input = normalize([states_roll[step:step + 1]], [stat[1]])[0]
states_input_v = to_var(states_input, use_gpu=use_gpu)
g_cur_v = model.to_g(attrs=attrs[:1], states=states_input_v,
rel_attrs=rel_attrs[:1], pstep=args.pstep)
g_cur = to_np(g_cur_v[0])
'''
setup parameters
'''
T = args.roll_step - step + 1
A_v, B_v = model.A, model.B
A_t = to_np(A_v[0]).T
B_t = to_np(B_v[0]).T
if not args.baseline:
Q = np.eye(args.g_dim)
else:
Q = np.eye(g_goal.shape[-1])
if args.env == 'Rope':
R_factor = 0.01
elif args.env == 'Soft':
R_factor = 0.001
elif args.env == 'Swim':
R_factor = 0.0001
else:
assert False
R = np.eye(args.action_dim) * R_factor
'''
generate action
'''
rel_attrs_np = to_np(rel_attrs)[0]
assert args.optim_type == 'qp'
if step % args.feedback == 0:
node_attrs = attrs_gt[0] if args.env in ['Soft', 'Swim'] else None
u = mpc_qp(g_cur, g_goal, step, T, rel_attrs_np, A_t, B_t, Q, R, node_attrs=node_attrs,
actions=to_np(actions[step:]),
gt_info=[param, states_gt[goal_step:goal_step + 1], attrs[step:step + T],
rel_attrs[step:step + T]])
else:
u = u[1:]
pass
'''
execute action
'''
engine.set_action(u[0]) # execute the first action
control[step] = engine.get_action()
engine.step()
states_roll[step + 1] = engine.get_state()
'''
render
'''
engine.render(states_roll, control, param, act_scale=args.act_scale, video=True, image=True,
path=os.path.join(args.shootf, str(roll_idx) + '.shoot'),
states_gt=np.tile(states_gt[goal_step:goal_step + 1], (args.roll_step + 1, 1, 1)),
count_down=True, gt_border=True)
states_result = states_roll[args.roll_step]
states_goal_normalized = normalize([states_goal], [stat[1]])[0]
states_result_normalized = normalize([states_result], [stat[1]])[0]
return norm(states_goal - states_result), (states_goal, states_result, states_goal_normalized, states_result_normalized)
if __name__ == '__main__':
os.system('mkdir -p ' + args.shootf)
num_train = int(args.n_rollout * args.train_valid_ratio)
num_valid = args.n_rollout - num_train
ls_rollout_idx = np.arange(0, num_valid, num_valid // args.group_size // 5)
if args.demo:
ls_rollout_idx = np.arange(8) * 25
for roll_idx in ls_rollout_idx:
shoot_mpc_qp(roll_idx)