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more work on testing framework

add_velocity_into_framework
sp 8 months ago
parent
commit
3fc7278c60
  1. 277
      rom_evaluate.py
  2. 32
      velocity_safety_no_formulas.prism

277
rom_evaluate.py

@ -69,6 +69,26 @@ class StateValue:
ranking: float
choices: dict = field(default_factory=default_value)
@dataclass(frozen=False)
class TestResult:
init_check_pes_min: float
init_check_pes_max: float
init_check_pes_avg: float
init_check_opt_min: float
init_check_opt_max: float
init_check_opt_avg: float
def __str__(self):
return f"""Test Result:
init_check_pes_min: {self.init_check_pes_min}
init_check_pes_max: {self.init_check_pes_max}
init_check_pes_avg: {self.init_check_pes_avg}
init_check_opt_min: {self.init_check_opt_min}
init_check_opt_max: {self.init_check_opt_max}
init_check_opt_avg: {self.init_check_opt_avg}
"""
def csv(self, ws=" "):
return f"{self.init_check_pes_min:0.04f}{ws}{self.init_check_pes_max:0.04f}{ws}{self.init_check_pes_avg:0.04f}{ws}{self.init_check_opt_min:0.04f}{ws}{self.init_check_opt_max:0.04f}{ws}{self.init_check_opt_avg:0.04f}"
def exec(command,verbose=True):
if verbose: print(f"Executing {command}")
system(f"echo {command} >> list_of_exec")
@ -77,7 +97,7 @@ def exec(command,verbose=True):
num_tests_per_cluster = 50
factor_tests_per_cluster = 0.2
num_ski_positions = 8
num_velocities = 8
num_velocities = 5
def input_to_action(char):
if char == "0":
@ -137,23 +157,41 @@ def run_single_test(ale, nn_wrapper, x,y,ski_position, velocity, duration=50):
ale.act(input_to_action(str(action)))
speed_list.append(ale.getRAM()[14])
if len(speed_list) > 15 and sum(speed_list[-6:-1]) == 0:
saveObservations(all_obs, Verdict.BAD, testDir)
#saveObservations(all_obs, Verdict.BAD, testDir)
return Verdict.BAD
saveObservations(all_obs, Verdict.GOOD, testDir)
#saveObservations(all_obs, Verdict.GOOD, testDir)
return Verdict.GOOD
def computeStateRanking(mdp_file, iteration):
logger.info("Computing state ranking")
tic()
prop = f"filter(min, Pmin=? [ G !(\"Hit_Tree\" | \"Hit_Gate\" | \"Unsafe\") ], !\"Hit_Tree\" & !\"Hit_Gate\" & !\"Unsafe\" );"
prop += f"filter(max, Pmin=? [ G !(\"Hit_Tree\" | \"Hit_Gate\" | \"Unsafe\") ], !\"Hit_Tree\" & !\"Hit_Gate\" & !\"Unsafe\" );"
prop += f"filter(avg, Pmin=? [ G !(\"Hit_Tree\" | \"Hit_Gate\" | \"Unsafe\") ], !\"Hit_Tree\" & !\"Hit_Gate\" & !\"Unsafe\" );"
prop += f"filter(min, Pmax=? [ G !(\"Hit_Tree\" | \"Hit_Gate\" | \"Unsafe\") ], !\"Hit_Tree\" & !\"Hit_Gate\" & !\"Unsafe\" );"
prop += f"filter(max, Pmax=? [ G !(\"Hit_Tree\" | \"Hit_Gate\" | \"Unsafe\") ], !\"Hit_Tree\" & !\"Hit_Gate\" & !\"Unsafe\" );"
prop += f"filter(avg, Pmax=? [ G !(\"Hit_Tree\" | \"Hit_Gate\" | \"Unsafe\") ], !\"Hit_Tree\" & !\"Hit_Gate\" & !\"Unsafe\" );"
prop += 'Rmax=? [C <= 200]'
results = list()
try:
command = f"{tempest_binary} --prism {mdp_file} --buildchoicelab --buildstateval --build-all-labels --prop 'Rmax=? [C <= 1000]'"
result = subprocess.run(command, shell=True, check=True)
print(result)
except Exception as e:
print(e)
sys.exit(-1)
exec(f"mv action_ranking action_ranking_{iteration:03}")
command = f"{tempest_binary} --prism {mdp_file} --buildchoicelab --buildstateval --build-all-labels --prop '{prop}'"
output = subprocess.check_output(command, shell=True).decode("utf-8").split('\n')
for line in output:
print(line)
if "Result" in line and not len(results) >= 6:
range_value = re.search(r"(.*:).*\[(-?\d+\.?\d*), (-?\d+\.?\d*)\].*", line)
if range_value:
results.append(float(range_value.group(2)))
results.append(float(range_value.group(3)))
else:
value = re.search(r"(.*:)(.*)", line)
results.append(float(value.group(2)))
exec(f"mv action_ranking action_ranking_{iteration:03}")
except subprocess.CalledProcessError as e:
# todo die gracefully if ranking is uniform
print(e.output)
logger.info(f"Computing state ranking - DONE: took {toc()} seconds")
return TestResult(*tuple(results))
def fillStateRanking(file_name, match=""):
logger.info(f"Parsing state ranking, {file_name}")
@ -189,46 +227,17 @@ def fillStateRanking(file_name, match=""):
def createDisjunction(formulas):
return " | ".join(formulas)
def clusterFormula(cluster):
if len(cluster) == 0: return
formulas = list()
for state in cluster:
formulas.append(f"(x={state[0].x} & y={state[0].y} & velocity={state[0].velocity} & ski_position={state[0].ski_position})")
while len(formulas) > 1:
formulas_tmp = [f"({formulas[i]} | {formulas[i+1]})" for i in range(0,len(formulas)//2)]
if len(formulas) % 2 == 1:
formulas_tmp.append(formulas[-1])
formulas = formulas_tmp
return "(" + formulas[0] + ")"
def clusterFormulaXY(cluster):
if len(cluster) == 0: return
formulas = set()
for state in cluster:
formulas.add(f"(x={state[0].x} & y={state[0].y})")
formulas = list(formulas)
while len(formulas) > 1:
formulas_tmp = [f"({formulas[i]} | {formulas[i+1]})" for i in range(0,len(formulas)//2)]
if len(formulas) % 2 == 1:
formulas_tmp.append(formulas[-1])
formulas = formulas_tmp
return "(" + formulas[0] + ")"
def clusterFormulaTrimmed(cluster):
formula = ""
states = [(s[0].x,s[0].y, s[0].ski_position, s[0].velocity) for s in cluster]
def statesFormulaTrimmed(states):
if len(states) == 0: return "false"
#states = [(s[0].x,s[0].y, s[0].ski_position) for s in cluster]
skiPositionGroup = defaultdict(list)
for item in states:
skiPositionGroup[item[2]].append(item)
#todo add velocity here
firstVelocity = True
formulas = list()
for skiPosition, skiPos_group in skiPositionGroup.items():
formula += f"ski_position={skiPosition} & "
formula = f"( ski_position={skiPosition} & "
firstVelocity = True
velocityGroup = defaultdict(list)
for item in skiPos_group:
velocityGroup[item[3]].append(item)
@ -263,41 +272,25 @@ def clusterFormulaTrimmed(cluster):
formula += " | ".join(x_ranges)
formula += ") )"
formula += ")"
return formula
def createBalancedDisjunction(indices, name):
#logger.info(f"Creating balanced disjunction for {len(indices)} ({indices}) formulas")
if len(indices) == 0:
return f"formula {name} = false;\n"
else:
while len(indices) > 1:
indices_tmp = [f"({indices[i]} | {indices[i+1]})" for i in range(0,len(indices)//2)]
if len(indices) % 2 == 1:
indices_tmp.append(indices[-1])
indices = indices_tmp
disjunction = f"formula {name} = " + " ".join(indices) + ";\n"
return disjunction
def createUnsafeFormula(clusters):
label = "label \"Unsafe\" = Unsafe;\n"
formulas = ""
indices = list()
for i, cluster in enumerate(clusters):
formulas += f"formula Unsafe_{i} = {clusterFormulaXY(cluster)};\n"
indices.append(f"Unsafe_{i}")
return formulas + "\n" + createBalancedDisjunction(indices, "Unsafe") + label
def createSafeFormula(clusters):
label = "label \"Safe\" = Safe;\n"
formulas = ""
indices = list()
for i, cluster in enumerate(clusters):
formulas += f"formula Safe_{i} = {clusterFormulaXY(cluster)};\n"
indices.append(f"Safe_{i}")
return formulas + "\n" + createBalancedDisjunction(indices, "Safe") + label
formula += ")"
formulas.append(formula)
return createBalancedDisjunction(formulas)
# https://stackoverflow.com/questions/5389507/iterating-over-every-two-elements-in-a-list
def pairwise(iterable):
"s -> (s0, s1), (s2, s3), (s4, s5), ..."
a = iter(iterable)
return zip(a, a)
def createBalancedDisjunction(formulas):
if len(formulas) == 0:
return "false"
while len(formulas) > 1:
formulas_tmp = [f"({f} | {g})" for f,g in pairwise(formulas)]
if len(formulas) % 2 == 1:
formulas_tmp.append(formulas[-1])
formulas = formulas_tmp
return " ".join(formulas)
def updatePrismFile(newFile, iteration, safeStates, unsafeStates):
logger.info("Creating next prism file")
@ -306,8 +299,10 @@ def updatePrismFile(newFile, iteration, safeStates, unsafeStates):
newFile = f"{newFile}_{iteration:03}.prism"
exec(f"cp {initFile} {newFile}", verbose=False)
with open(newFile, "a") as prism:
prism.write(createSafeFormula(safeStates))
prism.write(createUnsafeFormula(unsafeStates))
prism.write(f"formula Safe = {statesFormulaTrimmed(safeStates)};\n")
prism.write(f"formula Unsafe = {statesFormulaTrimmed(unsafeStates)};\n")
prism.write(f"label \"Safe\" = Safe;\n")
prism.write(f"label \"Unsafe\" = Unsafe;\n")
logger.info(f"Creating next prism file - DONE: took {toc()} seconds")
@ -331,7 +326,7 @@ x = 70
nn_wrapper = SampleFactoryNNQueryWrapper()
experiment_id = int(time.time())
init_mdp = "safety"
init_mdp = "velocity_safety"
exec(f"mkdir -p images/testing_{experiment_id}", verbose=False)
markerSize = 1
@ -340,27 +335,46 @@ imagesDir = f"images/testing_{experiment_id}"
def drawOntoSkiPosImage(states, color, target_prefix="cluster_", alpha_factor=1.0):
#markerList = {ski_position:list() for ski_position in range(1,num_ski_positions + 1)}
markerList = {(ski_position, velocity):list() for velocity in range(0, num_velocities + 1) for ski_position in range(1,num_ski_positions + 1)}
markerList = {(ski_position, velocity):list() for velocity in range(0, num_velocities) for ski_position in range(1,num_ski_positions + 1)}
images = dict()
mergedImages = dict()
for ski_position in range(1, num_ski_positions + 1):
for velocity in range(0,num_velocities):
images[(ski_position, velocity)] = cv2.imread(f"{imagesDir}/{target_prefix}_{ski_position:02}_{velocity:02}_individual.png")
mergedImages[ski_position] = cv2.imread(f"{imagesDir}/{target_prefix}_{ski_position:02}_individual.png")
for state in states:
s = state[0]
#marker = f"-fill 'rgba({color}, {alpha_factor * state[1].ranking})' -draw 'rectangle {s.x-markerSize},{s.y-markerSize} {s.x+markerSize},{s.y+markerSize} '"
marker = f"-fill 'rgba({color}, {alpha_factor * state[1].ranking})' -draw 'point {s.x},{s.y} '"
#marker = f"-fill 'rgba({color}, {alpha_factor * state[1].ranking})' -draw 'point {s.x},{s.y} '"
marker = [color, alpha_factor * state[1].ranking, (s.x-markerSize, s.y-markerSize), (s.x+markerSize, s.y+markerSize)]
markerList[(s.ski_position, s.velocity)].append(marker)
for (pos, vel), marker in markerList.items():
command = f"convert {imagesDir}/{target_prefix}_{pos:02}_{vel:02}_individual.png {' '.join(marker)} {imagesDir}/{target_prefix}_{pos:02}_{vel:02}_individual.png"
exec(command, verbose=False)
#command = f"convert {imagesDir}/{target_prefix}_{pos:02}_{vel:02}_individual.png {' '.join(marker)} {imagesDir}/{target_prefix}_{pos:02}_{vel:02}_individual.png"
#exec(command, verbose=False)
if len(marker) == 0: continue
for m in marker:
images[(pos,vel)] = cv2.rectangle(images[(pos,vel)], m[2], m[3], m[0], cv2.FILLED)
mergedImages[pos] = cv2.rectangle(mergedImages[pos], m[2], m[3], m[0], cv2.FILLED)
for (ski_position, velocity), image in images.items():
cv2.imwrite(f"{imagesDir}/{target_prefix}_{ski_position:02}_{velocity:02}_individual.png", image)
for ski_position, image in mergedImages.items():
cv2.imwrite(f"{imagesDir}/{target_prefix}_{ski_position:02}_individual.png", image)
def concatImages(prefix, iteration):
images = [f"{imagesDir}/{prefix}_{pos:02}_{vel:02}_individual.png" for vel in range(0,num_velocities+1) for pos in range(1,num_ski_positions+1) ]
for vel in range(0, num_velocities + 1):
logger.info(f"Concatenating images")
images = [f"{imagesDir}/{prefix}_{pos:02}_{vel:02}_individual.png" for vel in range(0,num_velocities) for pos in range(1,num_ski_positions+1)]
mergedImages = [f"{imagesDir}/{prefix}_{pos:02}_individual.png" for pos in range(1,num_ski_positions+1)]
for vel in range(0, num_velocities):
for pos in range(1, num_ski_positions + 1):
command = f"convert {imagesDir}/{prefix}_{pos:02}_{vel:02}_individual.png "
command += f"-pointsize 10 -gravity NorthEast -annotate +8+0 'p{pos:02}v{vel:02}' "
command += f"{imagesDir}/{prefix}_{pos:02}_{vel:02}_individual.png"
exec(command, verbose=False)
exec(f"montage {' '.join(images)} -geometry +0+0 -tile 8x9 {imagesDir}/{prefix}_{iteration}.png", verbose=False)
exec(f"montage {' '.join(mergedImages)} -geometry +0+0 -tile 8x9 {imagesDir}/{prefix}_{iteration}_merged.png", verbose=False)
#exec(f"sxiv {imagesDir}/{prefix}_{iteration}.png&", verbose=False)
logger.info(f"Concatenating images - DONE")
def drawStatesOntoTiledImage(states, color, target, source="images/1_full_scaled_down.png", alpha_factor=1.0):
"""
@ -380,33 +394,35 @@ def drawStatesOntoTiledImage(states, color, target, source="images/1_full_scaled
"""
def drawClusters(clusterDict, target, iteration, alpha_factor=1.0):
logger.info(f"Drawing clusters")
logger.info(f"Drawing {len(clusterDict)} clusters")
tic()
for velocity in range(0, num_velocities + 1):
for ski_position in range(1, num_ski_positions + 1):
source = "images/1_full_scaled_down.png"
exec(f"cp {source} {imagesDir}/{target}_{ski_position:02}_{velocity:02}_individual.png", verbose=False)
#for velocity in range(0, num_velocities):
# for ski_position in range(1, num_ski_positions + 1):
# source = "images/1_full_scaled_down.png"
# exec(f"cp {source} {imagesDir}/{target}_{ski_position:02}_{velocity:02}_individual.png", verbose=False)
for _, clusterStates in clusterDict.items():
color = f"{np.random.choice(range(256))}, {np.random.choice(range(256))}, {np.random.choice(range(256))}"
color = (np.random.choice(range(256)), np.random.choice(range(256)), np.random.choice(range(256)))
color = (int(color[0]), int(color[1]), int(color[2]))
drawOntoSkiPosImage(clusterStates, color, target, alpha_factor=alpha_factor)
concatImages(target, iteration)
logger.info(f"Drawing clusters - DONE: took {toc()} seconds")
logger.info(f"Drawing {len(clusterDict)} clusters - DONE: took {toc()} seconds")
def drawResult(clusterDict, target, iteration):
logger.info(f"Drawing clusters")
for velocity in range(0,num_velocities+1):
for ski_position in range(1, num_ski_positions + 1):
source = "images/1_full_scaled_down.png"
exec(f"cp {source} {imagesDir}/{target}_{ski_position:02}_{velocity:02}_individual.png", verbose=False)
logger.info(f"Drawing {len(clusterDict)} results")
#for velocity in range(0,num_velocities):
# for ski_position in range(1, num_ski_positions + 1):
# source = "images/1_full_scaled_down.png"
# exec(f"cp {source} {imagesDir}/{target}_{ski_position:02}_{velocity:02}_individual.png", verbose=False)
for _, (clusterStates, result) in clusterDict.items():
color = "100,100,100"
# opencv wants BGR
color = (100,100,100)
if result == Verdict.GOOD:
color = "0,200,0"
color = (0,200,0)
elif result == Verdict.BAD:
color = "200,0,0"
color = (0,0,200)
drawOntoSkiPosImage(clusterStates, color, target, alpha_factor=0.7)
concatImages(target, iteration)
logger.info(f"Drawing clusters - DONE: took {toc()} seconds")
logger.info(f"Drawing {len(clusterDict)} results - DONE: took {toc()} seconds")
def _init_logger():
logger = logging.getLogger('main')
@ -422,14 +438,20 @@ def clusterImportantStates(ranking, iteration):
states = [[s[0].x,s[0].y, s[0].ski_position * 20, s[0].velocity * 20, s[1].ranking] for s in ranking]
#states = [[s[0].x,s[0].y, s[0].ski_position * 30, s[1].ranking] for s in ranking]
#kmeans = KMeans(n_clusters, random_state=0, n_init="auto").fit(states)
dbscan = DBSCAN(eps=15).fit(states)
dbscan = DBSCAN(eps=5).fit(states)
labels = dbscan.labels_
n_clusters = len(set(labels)) - (1 if -1 in labels else 0)
logger.info(f"Starting to cluster {len(ranking)} states into clusters - DONE: took {toc()} seconds with {n_clusters} cluster")
clusterDict = {i : list() for i in range(0,n_clusters)}
strayStates = list()
for i, state in enumerate(ranking):
if labels[i] == -1: continue
if labels[i] == -1:
clusterDict[n_clusters + len(strayStates) + 1] = list()
clusterDict[n_clusters + len(strayStates) + 1].append(state)
strayStates.append(state)
continue
clusterDict[labels[i]].append(state)
if len(strayStates) > 0: logger.warning(f"{len(strayStates)} stray states with label -1")
drawClusters(clusterDict, f"clusters", iteration)
return clusterDict
@ -440,21 +462,42 @@ if __name__ == '__main__':
n_clusters = 40
testAll = False
safeStates = list()
unsafeStates = list()
source = "images/1_full_scaled_down.png"
for ski_position in range(1, num_ski_positions + 1):
for velocity in range(0,num_velocities):
exec(f"cp {source} {imagesDir}/clusters_{ski_position:02}_{velocity:02}_individual.png", verbose=False)
exec(f"cp {source} {imagesDir}/result_{ski_position:02}_{velocity:02}_individual.png", verbose=False)
exec(f"cp {source} {imagesDir}/clusters_{ski_position:02}_individual.png", verbose=False)
exec(f"cp {source} {imagesDir}/result_{ski_position:02}_individual.png", verbose=False)
safeStates = set()
unsafeStates = set()
iteration = 0
results = list()
eps = 0.1
while True:
updatePrismFile(init_mdp, iteration, safeStates, unsafeStates)
computeStateRanking(f"{init_mdp}_{iteration:03}.prism", iteration)
modelCheckingResult = computeStateRanking(f"{init_mdp}_{iteration:03}.prism", iteration)
results.append(modelCheckingResult)
logger.info(f"Model Checking Result: {modelCheckingResult}")
if abs(modelCheckingResult.init_check_pes_avg - modelCheckingResult.init_check_opt_avg) < eps:
logger.info(f"Absolute difference between average estimates is below eps = {eps}... finishing!")
break
ranking = fillStateRanking(f"action_ranking_{iteration:03}")
sorted_ranking = sorted( (x for x in ranking.items() if x[1].ranking > 0.1), key=lambda x: x[1].ranking)
clusters = clusterImportantStates(sorted_ranking, iteration)
try:
clusters = clusterImportantStates(sorted_ranking, iteration)
except Exception as e:
print(e)
break
if testAll: failingPerCluster = {i: list() for i in range(0, n_clusters)}
clusterResult = dict()
logger.info(f"Running tests")
tic()
for id, cluster in clusters.items():
num_tests = int(factor_tests_per_cluster * len(cluster))
num_tests = 1
#logger.info(f"Testing {num_tests} states (from {len(cluster)} states) from cluster {id}")
randomStates = np.random.choice(len(cluster), num_tests, replace=False)
randomStates = [cluster[i] for i in randomStates]
@ -467,22 +510,22 @@ if __name__ == '__main__':
velocity = state[0].velocity
#result = run_single_test(ale,nn_wrapper,x,y,ski_pos, duration=50)
result = run_single_test(ale,nn_wrapper,x,y,ski_pos, velocity, duration=50)
result = Verdict.BAD # TODO REMOVE ME!!!!!!!!!!!!!!
if result == Verdict.BAD:
if testAll:
failingPerCluster[id].append(state)
else:
clusterResult[id] = (cluster, Verdict.BAD)
verdictGood = False
unsafeStates.append(cluster)
unsafeStates.update([(s[0].x,s[0].y, s[0].ski_position, s[0].velocity) for s in cluster])
break
if verdictGood:
clusterResult[id] = (cluster, Verdict.GOOD)
safeStates.append(cluster)
logger.info(f"Iteration: {iteration:03} -\tSafe Results : {sum([len(c) for c in safeStates])} -\tUnsafe Results:{sum([len(c) for c in unsafeStates])}")
safeStates.update([(s[0].x,s[0].y, s[0].ski_position, s[0].velocity) for s in cluster])
logger.info(f"Iteration: {iteration:03}\t-\tSafe Results : {len(safeStates)}\t-\tUnsafe Results:{len(unsafeStates)}")
if testAll: drawClusters(failingPerCluster, f"failing", iteration)
#drawResult(clusterResult, "result", iteration)
drawResult(clusterResult, "result", iteration)
iteration += 1
for result in results:
print(result.csv())

32
velocity_safety_no_formulas.prism

@ -4,9 +4,10 @@ const int initY = 40;
const int initX = 80;
//const int maxY = 580;
const int maxY = 220;
const int maxY = 300;
const int minX = 10;
const int maxX = 144;
const int maxX = 152;
const int maxVel = 8;
formula Gate_1 = (((42<x & x<50) | (74<x & x<82)) & 164<y & y<172);
@ -26,6 +27,9 @@ formula Tree_6 = ((x>=140 & x<=152) & (y>=496 & y<=510));
formula Hit_Tree = Tree_1 | Tree_2 | Tree_3 | Tree_4 | Tree_5 | Tree_6;
formula Hit_Gate = Gate_1 | Gate_2 | Gate_3 | Gate_4 | Gate_5;
label "Hit_Tree" = Hit_Tree;
label "Hit_Gate" = Hit_Gate;
global move : [0..3];
@ -34,9 +38,9 @@ module skier
done : bool init false;
[left] !Safe & !Unsafe & !Hit_Gate & !Hit_Tree & move=0 & ski_position>1 -> (ski_position'=ski_position-1) & (move'=1);
[right] !Safe & !Unsafe & !Hit_Gate & !Hit_Tree & move=0 & ski_position<8 -> (ski_position'=ski_position+1) & (move'=1);
[noop] !Safe & !Unsafe & !Hit_Gate & !Hit_Tree & move=0 -> (move'=1);
[left] !done & !Safe & !Unsafe & !Hit_Gate & !Hit_Tree & move=0 & ski_position>1 -> (ski_position'=ski_position-1) & (move'=1);
[right] !done & !Safe & !Unsafe & !Hit_Gate & !Hit_Tree & move=0 & ski_position<8 -> (ski_position'=ski_position+1) & (move'=1);
[noop] !done & !Safe & !Unsafe & !Hit_Gate & !Hit_Tree & move=0 -> (move'=1);
[done] move=0 & (Safe | Unsafe | Hit_Tree | Hit_Gate) -> (done'=true);
@ -53,8 +57,8 @@ module updateY
[update_y] move=2 & (ski_position=1 | ski_position = 8) & standstill>=5 -> (standstill'=min(8,standstill+1)) & (move'=3);
[update_y] move=2 & (ski_position=1 | ski_position = 8) & standstill<5 -> (velocity'=max(0,velocity-4)) &(move'=3);
[update_y] move=2 & (ski_position=2 | ski_position = 7) -> (velocity'=max(0 ,velocity-2)) & (standstill'=0) & (move'=3);
[update_y] move=2 & (ski_position=3 | ski_position = 6) -> (velocity'=min(8,velocity+2)) & (standstill'=0) & (move'=3);
[update_y] move=2 & (ski_position=4 | ski_position = 5) -> (velocity'=min(8,velocity+4)) & (standstill'=0) & (move'=3);
[update_y] move=2 & (ski_position=3 | ski_position = 6) -> (velocity'=min(maxVel,velocity+2)) & (standstill'=0) & (move'=3);
[update_y] move=2 & (ski_position=4 | ski_position = 5) -> (velocity'=min(maxVel,velocity+4)) & (standstill'=0) & (move'=3);
endmodule
module updateX
@ -66,16 +70,16 @@ module updateX
[update_x] move=3 & standstill<8 & (ski_position=3) -> 0.4: (x'=max(minX,x-0)) & (move'=0) + 0.6: (x'=max(minX,x-1)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=6) -> 0.4: (x'=min(maxX,x+0)) & (move'=0) + 0.6: (x'=min(maxX,x+1)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=2) -> 0.3: (x'=max(minX,x-0)) & (move'=0) + 0.7: (x'=max(minX,x-1)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=7) -> 0.3: (x'=min(maxX,x+0)) & (move'=0) + 0.7: (x'=min(maxX,x+1)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=2) -> 0.3: (x'=max(minX,x-1)) & (move'=0) + 0.7: (x'=max(minX,x-2)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=7) -> 0.3: (x'=min(maxX,x+1)) & (move'=0) + 0.7: (x'=min(maxX,x+2)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=1) -> 0.2: (x'=max(minX,x-0)) & (move'=0) + 0.8: (x'=max(minX,x-1)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=8) -> 0.2: (x'=min(maxX,x+0)) & (move'=0) + 0.8: (x'=min(maxX,x+1)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=1) -> 0.2: (x'=max(minX,x-2)) & (move'=0) + 0.8: (x'=max(minX,x-3)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=8) -> 0.2: (x'=min(maxX,x+2)) & (move'=0) + 0.8: (x'=min(maxX,x+3)) & (move'=0);
endmodule
rewards
!done & Hit_Tree : -100;
!done & Hit_Gate : -100;
!done & Unsafe : -100;
[done] !done & Hit_Tree : -100;
[done] !done & Hit_Gate : -100;
[done] !done & Unsafe : -100;
endrewards
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