def annealing(self, original_call):
complete = False
self.current.h = nqueens.numAttackingQueens(self.current)
if (self.T <= self.min_T):
complete = True
else:
next_boards = nqueens.getSuccessorStates(
self.current
) #I might not be calling this right, but hopefully you get the idea
next_board = next_boards[random.randint(0, len(next_boards) - 1)]
next_board.h = nqueens.numAttackingQueens(next_board)
delta_E = self.findDeltaE(
next_board) #The method that armond's writing.
if delta_E > 0:
self.current = next_board
else:
if random.random > self.threshold(
delta_E): #The method that Allen's writing.
self.current = next_board
self.decrement_T(
) #The method that Nolan's already written. Nolan, please correct the syntax of this line if incorrect.
self.annealing(False)
if original_call:
self.current.printBoard()
print self.current.h
def annealing(self): #sam's method that does algoritom
counter = 0
complete = False
while complete == False:
self.current.h = nqueens.numAttackingQueens(self.current)
if self.current.h == 0:
complete = True
print ">Solution found no attacking queens!<"
break
elif (self.T <= self.min_T):
complete = True
print ">Timeout termination final state as above<"
break
else:
next_boards = nqueens.getSuccessorStates(self.current)
index = random.randint(0, len(next_boards) - 1)
next_board = next_boards[index]
next_board.h = nqueens.numAttackingQueens(next_board)
delta_E = self.findDeltaE(
next_board) #The method that armond's writing.
if delta_E < 0 and self.current.h > next_board.h:
self.current = next_board
self.current.h = nqueens.numAttackingQueens(self.current)
else:
if random.random > self.threshold(
delta_E): #The method that Allen's writing.
self.current = next_board
self.current.h = nqueens.numAttackingQueens(
self.current)
self.decrement_T()
print "run: " + str(counter)
self.current.printBoard()
print "h value: " + str(self.current.h)
print " "
counter += 1
def annealing(b, T, decay_rate, threshold):
current = b
current.h = nqueens.numAttackingQueens(current)
#Annealing algorithm
while (T > threshold or current.h != 0):
current.h = nqueens.numAttackingQueens(current)
rand2 = random.randint(0,
(len(nqueens.getSuccessorStates(current)) - 1))
neigh = nqueens.getSuccessorStates(current)[rand2]
neigh.h = nqueens.numAttackingQueens(neigh)
T = scheduling(T, decay_rate)
E = current.h - neigh.h
randNum = random.random()
if E > 0:
current = neigh
else:
if math.exp(E / T) > randNum:
current = neigh
if T < threshold:
return current
return current
def simulatedAnnealing(startBoard, decayRate, threshHold):
current = startBoard
T = 100
numLoops = 0
while (T > threshHold):
T = schedule(T, decayRate)
if (T == 0):
return current
nextList = nqueens.getSuccessorStates(current)
nextNum = random.randint(0, len(nextList))
nextState = nextList[nextNum - 1]
h = nqueens.numAttackingQueens(current) - nqueens.numAttackingQueens(
nextState)
if (h > 0):
current = nextState
elif (h <= 0 and random.randrange(0, 1) < abs((h / T))):
numLoops = numLoops + 1
current = nextState
current.printBoard()
return h
def simulatedAnnealing(current, thresh, decay):
print('')
T = 100
loops = 0
#main loop
while (T >= thresh):
current.h = nq.numAttackingQueens(current)
if (current.h == 0):
break
children = nq.getSuccessorStates(current)
child = choice(children)
child.h = nq.numAttackingQueens(child)
delta_h = current.h - child.h
if (delta_h >= 0):
current = child
else:
chance = math.e**(delta_h / T)
if random() < chance:
current = child
++loops
T = schedule(T, decay)
print("Result: Final board h-value =", current.h)
current.printBoard()
return current.h
def Main():
for i in range(2, 5):
print("********************\n", "Board Size: ", 2**i,
"\n********************\n", "######################################\n",
"Decay Rate: 0.9 T Threshold: 0.000001\n", "######################################")
b = nqueens.Board(2**i)
bhAvg = 0
for j in range(1, 11):
print("Run ", j)
b.rand()
print("Initial Board:")
b.printBoard()
b.h = nqueens.numAttackingQueens(b)
print("Initial h-value: ", b.h)
b = simulatedAnnealing(b, 0.9, 0.000001)
print("Final Board:")
b.printBoard()
print("Final h-value: ", b.h, "\n")
bhAvg = bhAvg + b.h
bhAvg = bhAvg/10
print("********************\n", "Average H-Value: ", bhAvg,
"\n********************\n")
print("######################################\n",
"Decay Rate: 0.75 T Threshold: 0.0000001\n", "######################################")
bhAvg = 0
for j in range(1, 11):
print("Run ", j)
b.rand()
print("Initial Board:")
b.printBoard()
b.h = nqueens.numAttackingQueens(b)
print("Initial h-value: ", b.h)
b = simulatedAnnealing(b, 0.75, 0.0000001)
print("Final Board:")
b.printBoard()
print("Final h-value: ", b.h, "\n")
bhAvg = bhAvg + b.h
bhAvg = bhAvg/10
print("********************\n", "Average H-Value: ", bhAvg,
"\n********************\n")
print("######################################\n",
"Decay Rate: 0.5 T Threshold: 0.00000001\n", "######################################")
bhAvg = 0
for j in range(1, 11):
print("Run ", j)
b.rand()
print("Initial Board:")
b.printBoard()
b.h = nqueens.numAttackingQueens(b)
print("Initial h-value: ", b.h)
b = simulatedAnnealing(b, 0.5, 0.00000001)
print("Final Board:")
b.printBoard()
print("Final h-value: ", b.h, "\n")
bhAvg = bhAvg + b.h
bhAvg = bhAvg/10
print("********************\n", "Average H-Value: ", bhAvg,
"\n********************\n")
def run_sim_annealing(size, rate, threshold):
NUM_RUNS = 10
T_INIT = 100
sum_h = 0
for run in range(0, NUM_RUNS):
# create a new board, randomize it and calculate its h cost
current = Board(size)
current.rand()
current.h = numAttackingQueens(current)
# output the run count and the initial board
print(f"Run {run}\nInitial board:")
current.printBoard()
print(f"h-value: {current.h}")
# initialize temperature
T = T_INIT
# Loop until temperature T reaches or falls beneath the threshold.
# Once this occurs the final board, represented by current, has
# been found.
while T > threshold:
# calculate temperature T using linear schedule: T * rate
T = f(T, rate)
# we've found the solution if current board's h cost is 0
if current.h == 0:
break;
# set next_b to one of current's successors, chosen at random
next_b = get_random_successor(current)
next_b.h = numAttackingQueens(next_b)
# calculate the h cost difference between current and next_b
delta_E = current.h - next_b.h
# if h cost difference greater than 0 or probability of move passes
# then set current to next_b and continue loop
if delta_E > 0:
current = next_b
elif random.random() < math.exp(delta_E / T):
current = next_b
# output final board's h cost and the final board
print(f"Final board h value: {current.h}")
current.printBoard()
# add this run's final board h cost to the running sum
sum_h += current.h
# return the total average h cost: sum of h costs over number of runs
return sum_h / NUM_RUNS
def simulatedAnnealing(initBoard, decayRate, T_Threshold):
current = initBoard
T = 100
while T > T_Threshold:
current.h = nqueens.numAttackingQueens(current)
T = schFunction(T, decayRate)
suState = nqueens.getSuccessorStates(current)
for x in suState:
if(current.h > nqueens.numAttackingQueens(x)):
current = x
return current
def main():
board_sizes = [4, 8, 16]
thresh_values = [.000001, .0000001, .00000001]
decay_rate = [0.9, 0.75, 0.5]
for x in board_sizes:
print("**********************************")
print("Board Size: ", x)
print("**********************************")
for j in range(len(decay_rate)):
print("decayRate: %s ThresHold: %e" %
(decay_rate[j], thresh_values[j]))
print("######################################")
count_h_value = 0
for i in range(10):
print('Run', i)
print('Initial: ')
board = nqueens.Board(x)
board.rand()
board.printBoard()
print("h-value: ", nqueens.numAttackingQueens(board))
answer = simulated_annealing(decay_rate[j], board,
thresh_values[j])
print("Final h_value: ", answer.h)
answer.printBoard()
count_h_value += answer.h
print("--------------------------------------")
print("Average h value: ", count_h_value / 10)
print("--------------------------------------")
def findDeltaE(
next_board
): #Armond's method that returns next_board.h - self.current.h
currentH = self.current.h
nextH = nqueens.numAttackingQueens(next_board)
deltaE = nextH - currentH
return deltaE
def simulated_annealing(decay_rate, Board, min_threshold_value):
T = 100
current = Board
current.h = nqueens.numAttackingQueens(current)
while True:
T = scheduling(T, decay_rate)
if (T < min_threshold_value or current.h == 0):
return current
neighbor_states = nqueens.getSuccessorStates(current)
next_state = random.choice(neighbor_states)
next_state.h = nqueens.numAttackingQueens(next_state)
delta_e = current.h - next_state.h
if (delta_e > 0):
current = next_state
else:
rand_number = random.random()
if (rand_number < math.e**(delta_e / T)):
current = next_state
def simulatedAnnealing(start, decay_rate, threshold):
current = start
T = 100
while (T > threshold):
cost = current.h = nqueens.numAttackingQueens(
current) # have to use function to print intial
successors = nqueens.getSuccessorStates(current)
next_board = successors[random.randint(
0,
len(successors) -
1)] # return a random neighbor by selecting a random one
cost_next = next_board.h = nqueens.numAttackingQueens(
next_board) # get the cost of the random neighbor
diff = cost - cost_next
if diff > 0:
current = next_board
elif random.randrange(0, 1) > math.exp((diff / T)):
current = next_board
# maybe move based on probabilty
T = decayRate(decay_rate, T)
return current # T < threshold exits and returns the current state
def main():
T = INITIAL_T # temperature variable is set to it's initial value
decay_rate = [
.9, .75, .5
] #test values for decay rate. values #provided by Sterling McLeod
threshold = [
0.000001, 0.0000001, 0.00000001
] #test values for threshold T must reach to terminate the loop. values #provided by Sterling McLeod
board_size = [4, 8, 16] # testor board sizes #provided by instructor
time = 0 #todo: do we actualy need this variable?
board = None
waittime = 0
sum_fin_h_vals = 0 #will hold the sum of all final h values
num_iterations = 10 #the number of times each threshold-decay-rate pairing is tested
suc_states = None
h_vals = [] #temp testor variable holder
fin_board = None
for x in range(len(board_size)):
print("_" * 51, "\n\nFor board size ", board_size[x], "\n_", "_" * 50,
"\n")
for y in range(len(threshold)):
testVals = [threshold[y],
decay_rate[y]] #stores this iteration's testing values
print("_" * 21, "\n\nThreshold: ", testVals[0], "\nDecay Rate: ",
testVals[1], "\n_", "_" * 20, "\n")
sum_fin_h_vals = 0 #resets the sum of final h values variable
for z in range(num_iterations):
if z == 2:
print(
"Please keep in mind this may take a momment to execute"
)
#print("i looped. ", x, ", ", y, ", " , z)#temp: testor #note: this loop has been proven to work the correct number of times
print("run #: ", z)
T = INITIAL_T # temperature variable is set to it's initial value
time = 0 #resets time
board = nqueens.Board(board_size[x])
board.rand()
board.h = nqueens.numAttackingQueens(board)
print("intitial state: ", "\t\t\t\t\t\t\t\tintial h-value: ",
board.h)
print(board.printBoard())
#print("h-val after printboard ", board.h)#temp testor
while (T >= testVals[0] and board.h != 0):
suc_states = nqueens.getSuccessorStates(board)
#print("suc states", suc_states)#temp testor
for i in suc_states:
temp_h = nqueens.numAttackingQueens(i)
if (temp_h < board.h):
board.h = temp_h
fin_board = i
# h_vals.append(board.h)#temp testing mechanism
# print("h-val during suc_states loop ", h_vals)#temp testor
# print("h after the sucstates loop", board.h)
T = get_ft(T, testVals[1]) #decrements T
time += 1 #increments time
# print("\t\t T = ", T, "at time ", time, "h val is ", board.h)#temp testor
# while(input("************************************please Press enter to continue***************************************************") != "" ):
# waittime += 1
sum_fin_h_vals += board.h
print("final state: ", "\t\t\t\t\t\t\t\tfinal h-value: ",
board.h)
print(fin_board.printBoard())
while (input(
"**************************please Press enter to continue****************************"
) != ""):
waittime += 1 #just a placeholder so the syntax will work
avg_time = (sum_fin_h_vals / num_iterations)
print(
"_" * 21, "\n\nAverage h-value for decay rate", testVals[1],
" and threshold ", testVals[0], " is : ", avg_time, "\n_",
"_" * 20, "\n\n", "*" * 20
) #todo: make this display the threshold and decay rate info too
while (input(
"**********************please Press enter to continue*****************************"
) != ""):
waittime += 1 #just a placeholder so the syntax will work
print("done") #temp testor
def main():
print('**********************************')
print('BOARD SIZE: 4 DECAY RATE 0.9 TRHESHOLD: 0.000001')
print('**********************************')
hAvg = 0
for x in range(10):
print('RUN', x)
startingBoard = nqueens.Board(4)
startingBoard.rand()
startingBoard.printBoard()
print('INITIAL h VALUE', nqueens.numAttackingQueens(startingBoard))
print('')
hAvg = simulatedAnnealing(startingBoard, 0.9, 0.000001)
print('AVERAGE h VALUE: ', hAvg / 10)
print('**********************************')
print('BOARD SIZE: 8 DECAY RATE 0.9 TRHESHOLD: 0.000001')
print('**********************************')
hAvg = 0
for x in range(10):
print('RUN', x)
startingBoard = nqueens.Board(8)
startingBoard.rand()
startingBoard.printBoard()
print('INITIAL h VALUE', nqueens.numAttackingQueens(startingBoard))
print('')
hAvg = hAvg + simulatedAnnealing(startingBoard, 0.9, 0.000001)
print('AVERAGE h VALUE: ', hAvg / 10)
print('**********************************')
print('BOARD SIZE: 16 DECAY RATE 0.9 TRHESHOLD: 0.000001')
print('**********************************')
hAvg = 0
for x in range(10):
print('RUN', x)
startingBoard = nqueens.Board(16)
startingBoard.rand()
startingBoard.printBoard()
print('INITIAL h VALUE', nqueens.numAttackingQueens(startingBoard))
print('')
hAvg = hAvg + simulatedAnnealing(startingBoard, 0.9, 0.000001)
print('')
print('AVERAGE h VALUE: ', hAvg / 10)
print('**********************************')
print('BOARD SIZE: 4 DECAY RATE 0.75 TRHESHOLD: 0.0000001')
print('**********************************')
hAvg = 0
for x in range(10):
print('RUN', x)
startingBoard = nqueens.Board(4)
startingBoard.rand()
startingBoard.printBoard()
print('INITIAL h VALUE', nqueens.numAttackingQueens(startingBoard))
print('')
hAvg = hAvg + simulatedAnnealing(startingBoard, 0.75, 0.0000001)
print('AVERAGE h VALUE: ', hAvg / 10)
#FINISH THE h VAL PRINTING
print('**********************************')
print('BOARD SIZE: 8 DECAY RATE 0.75 TRHESHOLD: 0.0000001')
print('**********************************')
hAvg = 0
for x in range(10):
print('RUN', x)
startingBoard = nqueens.Board(8)
startingBoard.rand()
startingBoard.printBoard()
print('INITIAL h VALUE', nqueens.numAttackingQueens(startingBoard))
print('')
hAvg = hAvg + simulatedAnnealing(startingBoard, 0.75, 0.0000001)
print('AVERAGE h VALUE: ', hAvg / 10)
print('**********************************')
print('BOARD SIZE: 16 DECAY RATE 0.75 TRHESHOLD: 0.0000001')
print('**********************************')
hAvg = 0
for x in range(10):
print('RUN', x)
startingBoard = nqueens.Board(16)
startingBoard.rand()
startingBoard.printBoard()
print('INITIAL h VALUE', nqueens.numAttackingQueens(startingBoard))
print('')
hAvg = hAvg + simulatedAnnealing(startingBoard, 0.75, 0.0000001)
print('AVERAGE h VALUE: ', hAvg / 10)
print('**********************************')
print('BOARD SIZE: 4 DECAY RATE 0.5 TRHESHOLD: 0.00000001')
print('**********************************')
hAvg = 0
for x in range(10):
print('RUN', x)
startingBoard = nqueens.Board(4)
startingBoard.rand()
startingBoard.printBoard()
print('INITIAL h VALUE', nqueens.numAttackingQueens(startingBoard))
print('')
hAvg = hAvg + simulatedAnnealing(startingBoard, 0.5, 0.00000001)
print('AVERAGE h VALUE: ', hAvg / 10)
print('**********************************')
print('BOARD SIZE: 8 DECAY RATE 0.75 TRHESHOLD: 0.0000001')
print('**********************************')
hAvg = 0
for x in range(10):
print('RUN', x)
startingBoard = nqueens.Board(8)
startingBoard.rand()
startingBoard.printBoard()
print('INITIAL h VALUE', nqueens.numAttackingQueens(startingBoard))
print('')
hAvg = hAvg + simulatedAnnealing(startingBoard, 0.5, 0.00000001)
print('AVERAGE h VALUE: ', hAvg / 10)
print('**********************************')
print('BOARD SIZE: 16 DECAY RATE 0.75 TRHESHOLD: 0.0000001')
print('**********************************')
hAvg = 0
for x in range(10):
print('RUN', x)
startingBoard = nqueens.Board(16)
startingBoard.rand()
startingBoard.printBoard()
print('INITIAL h VALUE', nqueens.numAttackingQueens(startingBoard))
print('')
hAvg = hAvg + simulatedAnnealing(startingBoard, 0.5, 0.00000001)
print('AVERAGE h VALUE: ', hAvg / 10)
def print_initial_h(current):
current.h = nq.numAttackingQueens(current)
print("h-value =", current.h)