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import stormvogel.model | ||
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# Create a new model with the name "Die" | ||
dtmc = stormvogel.model.new_dtmc("Die") | ||
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init = dtmc.get_initial_state() | ||
def create_die_dtmc(): | ||
# Create a new model with the name "Die" | ||
dtmc = stormvogel.model.new_dtmc("Die") | ||
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# From the initial state, add the transition to 6 new states with probability 1/6th. | ||
init.set_transitions( | ||
[(1 / 6, dtmc.new_state(f"rolled{i}", {"rolled": i})) for i in range(6)] | ||
) | ||
init = dtmc.get_initial_state() | ||
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# Print the resulting model in dot format. | ||
print(dtmc.to_dot()) | ||
# From the initial state, add the transition to 6 new states with probability 1/6th. | ||
init.set_transitions( | ||
[(1 / 6, dtmc.new_state(f"rolled{i}", {"rolled": i})) for i in range(6)] | ||
) | ||
return dtmc | ||
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if __name__ == "__main__": | ||
# Print the resulting model in dot format. | ||
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print(create_die_dtmc().to_dot()) |
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import stormvogel.model | ||
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mdp = stormvogel.model.new_mdp("Monty Hall") | ||
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init = mdp.get_initial_state() | ||
def create_monty_hall_mdp(): | ||
mdp = stormvogel.model.new_mdp("Monty Hall") | ||
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# first choose car position | ||
init.set_transitions( | ||
[(1 / 3, mdp.new_state("carchosen", {"car_pos": i})) for i in range(3)] | ||
) | ||
init = mdp.get_initial_state() | ||
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# we choose a door in each case | ||
for s in mdp.get_states_with("carchosen"): | ||
s.set_transitions( | ||
[ | ||
( | ||
mdp.action(f"open{i}"), | ||
mdp.new_state("open", s.features | {"chosen_pos": i}), | ||
) | ||
for i in range(3) | ||
] | ||
# first choose car position | ||
init.set_transitions( | ||
[(1 / 3, mdp.new_state("carchosen", {"car_pos": i})) for i in range(3)] | ||
) | ||
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# the other goat is revealed | ||
for s in mdp.get_states_with("open"): | ||
car_pos = s.features["car_pos"] | ||
chosen_pos = s.features["chosen_pos"] | ||
other_pos = {0, 1, 2} - {car_pos, chosen_pos} | ||
s.set_transitions( | ||
[ | ||
( | ||
1 / len(other_pos), | ||
mdp.new_state("goatrevealed", s.features | {"reveal_pos": i}), | ||
) | ||
for i in other_pos | ||
] | ||
) | ||
# we choose a door in each case | ||
for s in mdp.get_states_with("carchosen"): | ||
s.set_transitions( | ||
[ | ||
( | ||
mdp.action(f"open{i}"), | ||
mdp.new_state("open", s.features | {"chosen_pos": i}), | ||
) | ||
for i in range(3) | ||
] | ||
) | ||
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# the other goat is revealed | ||
for s in mdp.get_states_with("open"): | ||
car_pos = s.features["car_pos"] | ||
chosen_pos = s.features["chosen_pos"] | ||
other_pos = {0, 1, 2} - {car_pos, chosen_pos} | ||
s.set_transitions( | ||
[ | ||
( | ||
1 / len(other_pos), | ||
mdp.new_state("goatrevealed", s.features | {"reveal_pos": i}), | ||
) | ||
for i in other_pos | ||
] | ||
) | ||
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# we must choose whether we want to switch | ||
for s in mdp.get_states_with("goatrevealed"): | ||
car_pos = s.features["car_pos"] | ||
chosen_pos = s.features["chosen_pos"] | ||
reveal_pos = s.features["reveal_pos"] | ||
other_pos = list({0, 1, 2} - {reveal_pos, chosen_pos})[0] | ||
s.set_transitions( | ||
[ | ||
( | ||
mdp.action("stay"), | ||
mdp.new_state( | ||
["done"] + (["target"] if chosen_pos == car_pos else []), | ||
s.features | {"chosen_pos": chosen_pos}, | ||
# we must choose whether we want to switch | ||
for s in mdp.get_states_with("goatrevealed"): | ||
car_pos = s.features["car_pos"] | ||
chosen_pos = s.features["chosen_pos"] | ||
reveal_pos = s.features["reveal_pos"] | ||
other_pos = list({0, 1, 2} - {reveal_pos, chosen_pos})[0] | ||
s.set_transitions( | ||
[ | ||
( | ||
mdp.action("stay"), | ||
mdp.new_state( | ||
["done"] + (["target"] if chosen_pos == car_pos else []), | ||
s.features | {"chosen_pos": chosen_pos}, | ||
), | ||
), | ||
), | ||
( | ||
mdp.action("switch"), | ||
mdp.new_state( | ||
["done"] + (["target"] if other_pos == car_pos else []), | ||
s.features | {"chosen_pos": other_pos}, | ||
( | ||
mdp.action("switch"), | ||
mdp.new_state( | ||
["done"] + (["target"] if other_pos == car_pos else []), | ||
s.features | {"chosen_pos": other_pos}, | ||
), | ||
), | ||
), | ||
] | ||
) | ||
] | ||
) | ||
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return mdp | ||
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print(mdp.to_dot()) | ||
if __name__ == "__main__": | ||
# Print the resulting model in dot format. | ||
print(create_monty_hall_mdp().to_dot()) |
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import stormpy | ||
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# Knuth's model of a fair die using only fair coins | ||
def example_building_mdps_01(): | ||
nr_states = 13 | ||
nr_choices = 14 | ||
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# Transition matrix with custom row grouping: nondeterministic choice over the actions available in states | ||
builder = stormpy.SparseMatrixBuilder( | ||
rows=0, | ||
columns=0, | ||
entries=0, | ||
force_dimensions=False, | ||
has_custom_row_grouping=True, | ||
row_groups=0, | ||
) | ||
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# New row group, for actions of state 0 | ||
builder.new_row_group(0) | ||
builder.add_next_value(0, 1, 0.5) | ||
builder.add_next_value(0, 2, 0.5) | ||
builder.add_next_value(1, 1, 0.2) | ||
builder.add_next_value(1, 2, 0.8) | ||
# State 1 | ||
builder.new_row_group(2) | ||
builder.add_next_value(2, 3, 0.5) | ||
builder.add_next_value(2, 4, 0.5) | ||
# State 2 | ||
builder.new_row_group(3) | ||
builder.add_next_value(3, 5, 0.5) | ||
builder.add_next_value(3, 6, 0.5) | ||
# State 3 | ||
builder.new_row_group(4) | ||
builder.add_next_value(4, 7, 0.5) | ||
builder.add_next_value(4, 1, 0.5) | ||
# State 4 | ||
builder.new_row_group(5) | ||
builder.add_next_value(5, 8, 0.5) | ||
builder.add_next_value(5, 9, 0.5) | ||
# State 5 | ||
builder.new_row_group(6) | ||
builder.add_next_value(6, 10, 0.5) | ||
builder.add_next_value(6, 11, 0.5) | ||
# State 6 | ||
builder.new_row_group(7) | ||
builder.add_next_value(7, 2, 0.5) | ||
builder.add_next_value(7, 12, 0.5) | ||
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# Add transitions for the final states | ||
for s in range(8, 14): | ||
builder.new_row_group(s) | ||
builder.add_next_value(s, s - 1, 1) | ||
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transition_matrix = builder.build() | ||
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# State labeling | ||
state_labeling = stormpy.storage.StateLabeling(nr_states) | ||
# Add labels | ||
labels = {"init", "one", "two", "three", "four", "five", "six", "done", "deadlock"} | ||
for label in labels: | ||
state_labeling.add_label(label) | ||
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# Set labeling of states | ||
state_labeling.add_label_to_state("init", 0) | ||
state_labeling.add_label_to_state("one", 7) | ||
state_labeling.add_label_to_state("two", 8) | ||
state_labeling.add_label_to_state("three", 9) | ||
state_labeling.add_label_to_state("four", 10) | ||
state_labeling.add_label_to_state("five", 11) | ||
state_labeling.add_label_to_state("six", 12) | ||
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# Set label 'done' for multiple states | ||
state_labeling.set_states( | ||
"done", stormpy.BitVector(nr_states, [7, 8, 9, 10, 11, 12]) | ||
) | ||
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# Choice labeling | ||
choice_labeling = stormpy.storage.ChoiceLabeling(nr_choices) | ||
choice_labels = {"a", "b"} | ||
# Add labels | ||
for label in choice_labels: | ||
choice_labeling.add_label(label) | ||
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# Set labels | ||
choice_labeling.add_label_to_choice("a", 0) | ||
choice_labeling.add_label_to_choice("b", 1) | ||
print(choice_labeling) | ||
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# Reward models | ||
reward_models = {} | ||
# Create a vector representing the state-action rewards | ||
action_reward = [ | ||
0.0, | ||
0.0, | ||
1.0, | ||
1.0, | ||
1.0, | ||
1.0, | ||
1.0, | ||
1.0, | ||
0.0, | ||
0.0, | ||
0.0, | ||
0.0, | ||
0.0, | ||
0.0, | ||
] | ||
reward_models["coin_flips"] = stormpy.SparseRewardModel( | ||
optional_state_action_reward_vector=action_reward | ||
) | ||
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# Collect components | ||
components = stormpy.SparseModelComponents( | ||
transition_matrix=transition_matrix, | ||
state_labeling=state_labeling, | ||
reward_models=reward_models, | ||
rate_transitions=False, | ||
) | ||
components.choice_labeling = choice_labeling | ||
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# Build the model | ||
mdp = stormpy.storage.SparseMdp(components) | ||
return mdp | ||
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if __name__ == "__main__": | ||
example_building_mdps_01() |
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