def case_1():
# Read the vehicle model
vehicle = lomap.Ts()
vehicle.read_from_file('./vehicle_1.txt')
# Convert the vehicle model to an MDP
vehicle_mdp = lomap.Markov()
vehicle_mdp.mdp_from_det_ts(vehicle)
# Read the models of the pedestrians
targets = []
for i in range(1, 6):
t = lomap.Markov()
t.read_from_file('./target_%d.txt' % i)
targets.append(t)
formula = '! col U end'
# Construct the full-state fsa using scheck
# (full-state ensures proper MDP after product)
logger.info('Formula: %s' % formula)
fsa = lomap.Fsa()
fsa.fsa_from_cosafe_formula(formula)
fsa.add_trap_state()
# Classical
with lomap.Timer(
'Classical (non-incremental) Method: Case 1 - Avoid pedestrians'):
lomap.classical_synthesis(vehicle_mdp, fsa, targets, set_props_1)
pass
# Incremental
with lomap.Timer('Incremental Method: Case 1 - Avoid pedestrians'):
lomap.incremental_synthesis(vehicle_mdp, fsa, targets, set_props_1)
def construct_local_fsa(self):
ts = lomap.Ts()
edges = []
init_state = None
# Define the edges (hardcoded for now using dk.brics.automaton package
# by Anders Moller, available at http://www.brics.dk/automaton/)
if self.local_spec == '(assist|extinguish)*':
edges += [('init', 'init', {'input': set(['assist'])})]
edges += [('init', 'init', {'input': set(['extinguish'])})]
init_state = 'init'
elif self.local_spec == '(pickup.dropoff)*':
edges += [('empty', 'cargo', {'input': set(['pickup'])})]
edges += [('cargo', 'empty', {'input': set(['dropoff'])})]
init_state = 'empty'
elif self.local_spec == '(pickup1.dropoff1|pickup2.dropoff2)*':
edges += [('empty', 'cargoa', {'input': set(['pickup1'])})]
edges += [('cargoa', 'empty', {'input': set(['dropoff1'])})]
edges += [('empty', 'cargob', {'input': set(['pickup2'])})]
edges += [('cargob', 'empty', {'input': set(['dropoff2'])})]
init_state = 'empty'
else:
assert False, 'Local spec %s is not implemented' % self.local_spec
# Construct the ts
for s, v, d in edges:
ts.g.add_edge(s, v, None, d)
# Set the initial state
ts.init[init_state] = 1
return ts
def construct_global_ts(self):
logger.debug('Constructing the global TS')
ts = lomap.Ts()
# ts.name: str - name of the model
# ts.init: dict - initial distribution of the model
# ts.final: set - accepting states
# ts.g: a NetworkX multidigraph
# state property 'prop' gives the propositions satisfied at that state.
# edge properties 'weight' and 'control' give the weight of the edge and the corresponding control.
ts.name = 'Global TS'
# Initial state of the global transition system
init_state = (self.quad.x, self.quad.y)
ts.init[init_state] = 1
# Add the cells with global requests
for cell in self.env.global_reqs:
ts.g.add_node(cell, prop=self.env.global_reqs[cell]['reqs'])
# Add edges between each global request cell
for u, v in it.product(self.env.global_reqs, repeat=2):
# Compute manhattan distance
dist = abs(u[0] - v[0]) + abs(u[1] - v[1])
assert (u == v) != (dist >
0), 'Global requests cannot be co-located.'
# Change self-loop weights to 1 to prevent infinite loops during planning
dist = 1 if dist == 0 else dist
logger.debug('%s -> %s (dist: %s)' % (u, v, dist))
ts.g.add_edge(u, v, weight=dist, control='N/A', label=dist)
# If the init_state is not a global request,
# add it to the global TS but define outgoing edges only
if init_state not in self.env.global_reqs:
ts.g.add_node(init_state, prop=set([]))
for v in self.env.global_reqs:
# Compute manhattan distance
dist = abs(init_state[0] - v[0]) + abs(init_state[1] - v[1])
logger.debug('%s -> %s (dist: %s)' % (init_state, v, dist))
ts.g.add_edge(init_state,
v,
weight=dist,
control='N/A',
label=dist)
return ts
def case_2b():
# Read the vehicle model
vehicle = lomap.Ts()
vehicle.read_from_file('./vehicle_1.txt')
# Convert the vehicle model to an MDP
vehicle_mdp = lomap.Markov()
vehicle_mdp.mdp_from_det_ts(vehicle)
# Read the models of the pedestrians
targets = []
for i in range(1, 6):
t = lomap.Markov()
t.read_from_file('./target_%d.txt' % i)
targets.append(t)
formula = '( F catch0 | F catch1 | F catch2 | F catch3 ) & ( ! col4 U end )'
# Construct the full-state fsa using scheck
# (full-state ensures proper MDP after product)
logger.info('Formula: %s' % formula)
fsa = lomap.Fsa()
fsa.fsa_from_cosafe_formula(formula)
fsa.add_trap_state()
# Classical
with lomap.Timer(
'Classical (non-incremental) Method: Case 2b - Save at least one friendly'
):
lomap.classical_synthesis(vehicle_mdp, fsa, targets, set_props_2)
pass
# Incremental
targets_inc = [targets[-1]] + targets[:-1]
assumed_props = [('ped0c2', 'ped1c2', 'ped2c2', 'ped3c2'),
('ped1c2', 'ped2c2', 'ped3c2'), ('ped2c2', 'ped3c2'),
('ped3c2'), ()]
with lomap.Timer(
'Incremental Method: Case 2b - Save at least one friendly'):
lomap.incremental_synthesis(vehicle_mdp, fsa, targets_inc, set_props_2,
assumed_props)
pass
def construct_local_ts(self):
ts = lomap.Ts()
# ts.name: str - name of the model
# ts.init: dict - initial distribution of the model
# ts.final: set - accepting states
# ts.g: a NetworkX multidigraph
# state property 'prop' gives the propositions satisfied at that state.
# edge properties 'weight' and 'control' give the weight of the edge and the corresponding control.
ts.name = 'Local TS'
# Find the current cell of the quad (center cell of the sensing range)
# with integer division
center_cell = (self.quad.x, self.quad.y)
ts.init[center_cell] = 1
# Define the vertices of the local TS (the sensing cells)
for cx, cy in it.product(list(range(0, self.quad.sensing_range)),
repeat=2):
cell = self.quad.get_sensing_cell_global_coords((cx, cy))
props = self.quad.sensed[cx][cy]['local_reqs']
# Add this cell with sensed local requests
ts.g.add_node(cell, prop=props)
assert len(ts.g) == self.quad.sensing_range**2
# Define edges between the states of the local ts
for cell in ts.g:
# east, north, west, south, hold controls and corresponding neighbors
x, y = cell
controls = {
'e': (x + 1, y),
'n': (x, y + 1),
'w': (x - 1, y),
's': (x, y - 1),
'h': (x, y)
}
for ctrl in controls:
neigh = controls[ctrl]
# Skip this neighbor if it is not in the local TS
if neigh not in ts.g:
continue
# Add the edge
ts.g.add_edge(cell, neigh, weight=1, control=ctrl)
return ts
def case_3b():
# Read the vehicle model
vehicle = lomap.Ts()
vehicle.read_from_file('./vehicle_2.txt')
# Convert the vehicle model to an MDP
vehicle_mdp = lomap.Markov()
vehicle_mdp.mdp_from_det_ts(vehicle)
# Read the models of the guards
targets = []
for i in range(1, 7):
t = lomap.Markov()
t.read_from_file('./trap_%d.txt' % i)
targets.append(t)
# Reach end safely
formula = '! unsafe U end'
# Construct the full-state fsa using scheck
# (full-state ensures proper MDP after product)
logger.info('Formula: %s' % formula)
fsa = lomap.Fsa()
fsa.fsa_from_cosafe_formula(formula)
fsa.add_trap_state()
#fsa.visualize()
# Classical
with lomap.Timer('Classical (non-incremental) Method: Case 3b - Order 2'):
lomap.classical_synthesis(vehicle_mdp, fsa, targets, set_props_3)
pass
# Incremental
targets_inc = [
targets[2], targets[3], targets[0], targets[1], targets[5], targets[4]
]
with lomap.Timer('Incremental Method: Case 3b - Order 2'):
lomap.incremental_synthesis(vehicle_mdp, fsa, targets_inc, set_props_3)
pass
def main():
Rho = namedtuple('Rho', ['lower', 'upper'])
rhos = [Rho(lower=0.98, upper=1.04), Rho(lower=0.98, upper=1.04)]
pdb.set_trace()
# Case Study 1
# with lomap.Timer('IJRR 2013 Case-Study 1'):
# r1 = lomap.Ts()
# r2 = lomap.Ts()
# r1.read_from_file('./robot_1.txt')
# r2.read_from_file('./robot_2.txt')
# ts_tuple = (r1, r2)
# formula = '[]<>gather && [](r1gather -> X(!r1gather U r1upload)) && [](r2gather -> X(!r2gather U r2upload))'
# opt_prop = set(['gather'])
# logger.info('Formula: %s', formula)
# logger.info('opt_prop: %s', opt_prop)
# prefix_length, prefixes, suffix_cycle_cost, suffix_cycles = lomap.multi_agent_optimal_run(ts_tuple, formula, opt_prop)
# logger.info('Cost: %d', suffix_cycle_cost)
# logger.info('Prefix length: %d', prefix_length)
# # Find the controls that will produce this run
# control_prefixes = []
# control_suffix_cycles = []
# for i in range(0, len(ts_tuple)):
# ts = ts_tuple[i]
# control_prefixes.append(ts.controls_from_run(prefixes[i]))
# control_suffix_cycles.append(ts.controls_from_run(suffix_cycles[i]))
# logger.info('%s run prefix: %s', ts.name, prefixes[i])
# logger.info('%s control perfix: %s', ts.name, control_prefixes[i])
# logger.info('%s suffix cycle: %s', ts.name, suffix_cycles[i])
# logger.info('%s control suffix cycle: %s', ts.name, control_suffix_cycles[i])
#
# logger.info('<><><> <><><> <><><>')
# Case Study 4
with lomap.Timer('IJRR 2013 Case-Study 4'):
r1 = lomap.Ts()
r2 = lomap.Ts()
r1.read_from_file('./robot_1.txt')
r2.read_from_file('./robot_2.txt')
ts_tuple = (r1, r2)
pdb.set_trace()
formula = '[]<>gather && [](gather->(r1gather4 && r2gather2)) && [](r1gather -> X(!r1gather U r1upload)) && [](r2gather -> X(!r2gather U r2upload))'
opt_prop = set(['r1gather4', 'r2gather2'])
logger.info('Formula: %s', formula)
logger.info('opt_prop: %s', opt_prop)
prefix_length, prefixes, suffix_cycle_cost, suffix_cycles = lomap.multi_agent_optimal_run(
ts_tuple, formula, opt_prop)
logger.info('Cost: %d', suffix_cycle_cost)
logger.info('Prefix length: %d', prefix_length)
# Find the controls that will produce this run
control_prefixes = []
control_suffix_cycles = []
for i in range(0, len(ts_tuple)):
ts = ts_tuple[i]
control_prefixes.append(ts.controls_from_run(prefixes[i]))
control_suffix_cycles.append(ts.controls_from_run(
suffix_cycles[i]))
logger.info('%s run prefix: %s', ts.name, prefixes[i])
logger.info('%s control perfix: %s', ts.name, control_prefixes[i])
logger.info('%s suffix cycle: %s', ts.name, suffix_cycles[i])
logger.info('%s control suffix cycle: %s', ts.name,
control_suffix_cycles[i])
logger.info('<><><> <><><> <><><>')
