def wp_2_example9():
g = io.load_from_file("assets/strong parity/example_9.txt")
(dir_w0, dir_w1) = dirfixwp.partial_solver2(g, 1)
(ndir_w0, ndir_w1) = fixwp.partial_solver2(g, 1)
(w0, w1) = sp(g)
dir_inc_0 = all(s in w0 for s in dir_w0)
dir_inc_1 = all(s in w1 for s in dir_w1)
ndir_inc_0 = all(s in w0 for s in ndir_w0)
ndir_inc_1 = all(s in w1 for s in ndir_w1)
return dir_inc_0 and dir_inc_1 and ndir_inc_0 and ndir_inc_1
def wp_2_example6():
g = io.load_from_file("assets/strong parity/example_6.txt")
#only winnable with lambda >=4
(dir_w0, dir_w1) = dirfixwp.partial_solver2(g, 4)
(ndir_w0, ndir_w1) = fixwp.partial_solver2(g, 4)
(w0, w1) = sp(g)
dir_inc_0 = all(s in w0 for s in dir_w0)
dir_inc_1 = all(s in w1 for s in dir_w1)
ndir_inc_0 = all(s in w0 for s in ndir_w0)
ndir_inc_1 = all(s in w1 for s in ndir_w1)
return dir_inc_0 and dir_inc_1 and ndir_inc_0 and ndir_inc_1
def wp_2_example3():
g = io.load_from_file("assets/strong parity/example_3.txt")
#better results with lambda = 2 on the basic algorithm
(dir_w0, dir_w1) = dirfixwp.partial_solver2(g, 2)
(ndir_w0, ndir_w1) = fixwp.partial_solver2(g, 2)
(w0, w1) = sp(g)
dir_inc_0 = all(s in w0 for s in dir_w0)
dir_inc_1 = all(s in w1 for s in dir_w1)
ndir_inc_0 = all(s in w0 for s in ndir_w0)
ndir_inc_1 = all(s in w1 for s in ndir_w1)
return dir_inc_0 and dir_inc_1 and ndir_inc_0 and ndir_inc_1
def wp_2_example1():
g = io.load_from_file("assets/strong parity/example_1.txt")
(dir_w0, dir_w1) = dirfixwp.partial_solver2(g, 1)
(ndir_w0, ndir_w1) = fixwp.partial_solver2(g, 1)
(w0, w1) = sp(g)
#checking if the partial solutions are included in the true solutions
dir_inc_0 = all(s in w0 for s in dir_w0)
dir_inc_1 = all(s in w1 for s in dir_w1)
ndir_inc_0 = all(s in w0 for s in ndir_w0)
ndir_inc_1 = all(s in w1 for s in ndir_w1)
return dir_inc_0 and dir_inc_1 and ndir_inc_0 and ndir_inc_1
def benchmark_ladder_wc(n, iterations=3, step=10, plot=False, path="", save_res = False, path_res = "", prt = True):
"""
Benchmarks the window parity algorithms for strong parity games using the random game generator.
Calls window parity partial solver on games generated using the random game generator function.
Games of size 1 to n are solved and a timer records the time taken to get the solution.The solver can be timed
several times and the minimum value is selected using optional parameter iterations (to avoid recording time
spikes and delays due to system load). The result can be plotted using matplotlib.
:param n: number of nodes in generated graph (nodes is n due to construction).
:param iterations: number of times the algorithm is timed (default is 3).
:param step: step to be taken in the generation.
:param plot: if True, plots the data using matplotlib.
:param path: path to the file in which to write the result.
:param save_res: if True, save the results on a file.
:param path_res: path to the file in which to write the result.
:param prt: True if the prints are activated.
"""
y = [] # list for the time recordings
n_ = [] # list for the x values (1 to n)
per_sol = [] # list for the percentage of the game solved
total_time = 0 # accumulator to record total time
nbr_generated = 0 # conserving the number of generated mesures (used to get the index of a mesure)
chrono = timer.Timer(verbose=False) # Timer object
info = "Time to solve (s)" # info about the current benchmark
not_comp_solved = [] #store the game that are not completely solved
# print first line of output
if prt:
print u"Generator".center(40) + "|" + u"Nodes (n)".center(12) + "|" + info.center(40) + "|" + "Percentage solved".center(19) + "|" + "\n" + \
"-" * 115
# games generated are size 1 to n
for i in range(1, n + 1, step):
temp = [] # temp list for #iterations recordings
g = generators.ladder(i) # generated game
# #iterations calls to the solver are timed
for j in range(iterations):
with chrono:
(w0, w1) = winningcore.partial_solver(g) # winning core call
temp.append(chrono.interval) # add time recording
min_recording = min(temp)
percent_solved = ((float(len(w0)) + len(w1)) /(i)) * 100
if percent_solved != 100:
not_comp_solved.append((g, w0, w1))
y.append(min_recording) # get the minimum out of #iterations recordings
n_.append(i)
per_sol.append(percent_solved)
total_time += min_recording
if prt:
print "Ladder graph".center(40) + "|" + str(i).center(12) + "|" \
+ str(y[nbr_generated]).center(40) + "|" + str(percent_solved).center(19) + "|" + "\n" + "-" * 115
nbr_generated += 1 # updating the number of generated mesures
# at the end, print total time
if prt:
print "-" * 115 + "\n" + "Total (s)".center(40) + "|" + "#".center(12) + "|" + \
str(total_time).center(40) + "|" + "\n" + "-" * 115 + "\n"
if plot:
fig, ax1 = plt.subplots()
plt.grid(True)
plt.title(u"Graphes Ladder de taille 1 à " + str(n))
plt.xlabel(u'nombre de nœuds')
# plt.yscale("log") allows logatithmic y-axis
ax1.plot(n_, y, 'g.', label=u"Temps d'exécution", color='b')
ax1.tick_params('y', colors='b')
ax1.set_ylabel("Temps d'execution (s)", color = 'b')
ax2 = ax1.twinx()
ax2.plot(n_, per_sol, 'g.', label=u"Pourcentage résolu", color='r')
ax2.set_ylim([0, 101])
ax2.set_ylabel("Pourcentage du jeu resolu (%)", color = 'r')
ax2.tick_params('y', colors='r')
fig.tight_layout()
plt.savefig(path+".png", bbox_inches='tight')
plt.clf()
plt.close()
if save_res:
#computing the percent solved for each player for the games not solved completely
part_solv = 0
comp_solv = 0
percent_solv = []
for (g, w0, w1) in not_comp_solved:
#one more game not solved completely
part_solv += 1
#checking is the solutions are included to the true solutions. Computing the true sols with Zielonka algorithm
(sp_w0, sp_w1) = sp(g)
a = all(s in sp_w1 for s in w1) #cheking if included
b = all(s in sp_w0 for s in w0) #cheking if included
#if not included stop the algorithm
if not a or not b:
print "Error the solutions found are not included to the true solutions"
return -1
#total percentage solved
percent_solved_total = ((float(len(w0)) + len(w1)) /(len(sp_w0) + len(sp_w1))) * 100
#percentage solved for player 0
if len(sp_w0) > 0:
percent_solved_0 = (float(len(w0)) /len(sp_w0)) * 100
else:
percent_solved_0 = 100
#percentage solved for player 1
if len(sp_w1) > 0:
percent_solved_1 = (float(len(w1)) /len(sp_w1)) * 100
else:
percent_solved_1 = 100
#adding the percentages computed to the list + the size of the game
percent_solv.append((len(g.get_nodes()), percent_solved_total, percent_solved_0, percent_solved_1))
comp_solv += n/step - len(not_comp_solved)
io.write_benchmark_partial_solver(comp_solv, part_solv, percent_solv, path_res+".txt", n_, y, n, 1, -1, False, "")
def launch_random_wp(game_size, n_launch, lam=1, step = 10, dir=True, v2 = False, plot=False, path="", save_res = False, path_res = ""):
"""
Launch a random benchmark on window parity solver n_launch times. Record the games that are not solved completely and record their resolution percentage for each player
:param game_size: number of nodes in generated graph (nodes is n due to construction).
:param n_launch: number of times the random benchmark is used.
:param lam: value of lambda.
:param: step to be taken between the different value of lambda.
:param dir: if True, uses DirFixWP if not, uses FixWP.
:param v2: if True, uses partial_solver2. If False, uses partial_solver.
:param plot: if True, plots the data using matplotlib.
:param path: path to the file in which to write the plots.
:param save_res: if True, save the results on a file.
:param path_res: path to the file in which to write the result.
:return: a tuple containing the number of games completely solved, the number of games partialy solved and a list containing for each game partialy solved the percentage
solved for each player and in total.
"""
#count the number of games completely solved
comp_solv = 0
#count the number of games not completely solved
part_solv = 0
#list of tuples containing (a, b, c) where a is the total percentage solved, b is the percentage solved for player 0 and c is the percentage solved for player 1
percent_solv = []
#y[i] contains time to resolve game of size n_[i]
y = []
n_ = []
for i in range(0, n_launch):
#the benchmark return the games that are nos completely solved
(games, (n_ret, y_ret)) = benchmark_random_wp(game_size, start_lambda=lam, end_lambda=lam, dir=dir, v2=v2, step=step, plot=False, ret=True, path=path, prt = False)
#append n_ret and y_ret to a list
#careful, n_ret and y_ret are lists but only contains one element (only one lambda in the benchmark call)
n_.append(n_ret[0])
y.append(y_ret[0])
for (g, w0, w1) in games:
#one more game not solved completely
part_solv += 1
#checking is the solutions are included to the true solutions. Computing the true sols with Zielonka algorithm
(sp_w0, sp_w1) = sp(g)
a = all(s in sp_w1 for s in w1) #cheking if included
b = all(s in sp_w0 for s in w0) #cheking if included
#if not included stop the algorithm
if not a or not b:
print "Error the solutions found are not included to the true solutions"
return -1
#total percentage solved
percent_solved_total = ((float(len(w0)) + len(w1)) /(len(sp_w0) + len(sp_w1))) * 100
#percentage solved for player 0
if len(sp_w0) > 0:
percent_solved_0 = (float(len(w0)) /len(sp_w0)) * 100
else:
percent_solved_0 = 100
#percentage solved for player 1
if len(sp_w1) > 0:
percent_solved_1 = (float(len(w1)) /len(sp_w1)) * 100
else:
percent_solved_1 = 100
#adding the percentages computed to the list + the size of the game
percent_solv.append((len(g.get_nodes()), percent_solved_total, percent_solved_0, percent_solved_1))
comp_solv += game_size/step - len(games)
#writes informations in a txt and if needed creates a plot.
#the informations written are the game completely solved, and for the game not completely solved the percentage solved for each players and this for each size of game
if save_res:
io.write_benchmark_partial_solver(comp_solv, part_solv, percent_solv, path_res, n_, y, game_size, n_launch, lam, plot, path)
#Return what is basically written in the txt file.
return (comp_solv, part_solv, percent_solv)
def benchmark_worst_case_wp(n, start_lambda = 1, end_lambda = 10, step_lambda = 1, dir = True, v2 = False, iterations=3, step=10, plot=False, path="", save_res = False, path_res = "", prt = True):
"""
Benchmarks the window parity algorithms for strong parity games using the random game generator.
Calls window parity partial solver on games generated using the random game generator function.
Games of size 1 to n are solved and a timer records the time taken to get the solution.The solver can be timed
several times and the minimum value is selected using optional parameter iterations (to avoid recording time
spikes and delays due to system load). The result can be plotted using matplotlib.
:param n: number of nodes in generated graph (nodes is n due to construction).
:param end_lambda: maximum value of lambda.
:param start_lambda: starting value of lambda.
:param step_lambda: step to be taken between the different value of lambda.
:param dir: if True, uses DirFixWP if not, uses FixWP.
:param v2: if True, uses partial_solver2. If False, uses partial_solver.
:param iterations: number of times the algorithm is timed (default is 3).
:param step: step to be taken in the generation.
:param plot: if True, plots the data using matplotlib.
:param path: path to the file in which to write the result.
:param save_res: if True, save the results on a file.
:param path_res: path to the file in which to write the result.
:param prt: True if the prints are activated.
:return: Percentage of game solved, size of the games such that we return the time taken to resolve those games.
"""
y = [] # list for the time recordings
n_ = [] # list for the x values (5 to 5n)
per_sol = [] # list for the percentage of the game solved
total_time = 0 # accumulator to record total time
nbr_generated = 0 # conserving the number of generated mesures (used to get the index of a mesure)
chrono = timer.Timer(verbose=False) # Timer object
info = "Time to solve (s)" # info about the current benchmark
lam = start_lambda #current lambda used by the algorithme
not_comp_solved = [] #store the game that are not completely solved
# print first line of output
if prt:
print u"Generator".center(40) + "|" + u"Nodes (n)".center(12) + "|" + info.center(40) + "|" + "Percentage solved".center(19) + "|" + "\n" + \
"-" * 115
#for each value of lambda
for lam in range(start_lambda, end_lambda + 1, step_lambda):
#print current value of lambda
if prt:
print "lambda value : ".center(40) + str(lam) + "\n" + "-" * 115
y_temp = [] # stores time recordings for the current value of lambda
n_temp = [] # stores the size of the game for the current value of lambda
per_sol_temp = [] #stores the resolution percentage of the games for the current value of lambda
nbr_generated = 0
# games generated are size 1 to 5*n
for i in range(1, n + 1, step):
temp = [] # temp list for #iterations recordings
g = generators.strong_parity_worst_case(i) # generated game
# #iterations calls to the solver are timed
for j in range(iterations):
with chrono:
if dir:
if v2:
(w0, w1) = dirfixwp.partial_solver2(g, lam) # dirfixwp version 2 call
else:
(w0, w1) = dirfixwp.partial_solver(g, lam) # dirfixwp call
else:
if v2:
(w0, w1) = fixwp.partial_solver2(g, lam) # fixwp version 2 call
else:
(w0, w1) = fixwp.partial_solver(g, lam) # fixwp call
temp.append(chrono.interval) # add time recording
min_recording = min(temp)
total_time += min_recording
percent_solved = ((float(len(w0)) + len(w1)) /(i*5)) * 100
#checking if completely solved
if percent_solved != 100:
not_comp_solved.append((g, w0, w1))
y_temp.append(min_recording) # get the minimum out of #iterations recordings
n_temp.append(5 * i)
per_sol_temp.append(percent_solved)
if prt:
print "Worst-case graph".center(40) + "|" + str(i * 5).center(12) + "|" \
+ str(y_temp[nbr_generated]).center(40) + "|" + str(percent_solved).center(19) + "|" + "\n" + "-" * 115
nbr_generated += 1 # updating the number of generated mesures
y.append(y_temp)
n_.append(n_temp)
per_sol.append(per_sol_temp)
# at the end, print total time
if prt:
print "-" * 115 + "\n" + "Total (s)".center(40) + "|" + "#".center(12) + "|" + \
str(total_time).center(40) + "|" + "\n" + "-" * 115 + "\n"
if plot:
i = 0
for lam in range(start_lambda, end_lambda + 1, step_lambda):
fig, ax1 = plt.subplots()
plt.grid(True)
plt.title(u"Graphes pires cas de taille 1 à " + str(5*n) + " avec lambda = " + str(lam))
plt.xlabel(u'nombre de nœuds')
# plt.yscale("log") allows logatithmic y-axis
ax1.plot(n_[i], y[i], 'g.', label=u"Temps d'exécution", color='b')
ax1.tick_params('y', colors='b')
ax1.set_ylabel("Temps d'execution (s)", color = 'b')
ax2 = ax1.twinx()
ax2.plot(n_[i], per_sol[i], 'g.', label=u"Pourcentage résolu", color='r')
ax2.set_ylim([0, 101])
ax2.set_ylabel("Pourcentage du jeu resolu (%)", color = 'r')
ax2.tick_params('y', colors='r')
fig.tight_layout()
plt.savefig(path+str(lam)+".png", bbox_inches='tight')
plt.clf()
plt.close()
i = i + 1
#save the percent solve for each player for each lambda for each size of game in a txt file
if save_res:
i = 0
for lam in range(start_lambda, end_lambda + 1, step_lambda):
#computing the percent solved for each player for the games not solved completely
part_solv = 0
comp_solv = 0
percent_solv = []
for (g, w0, w1) in not_comp_solved:
#one more game not solved completely
part_solv += 1
#checking is the solutions are included to the true solutions. Computing the true sols with Zielonka algorithm
(sp_w0, sp_w1) = sp(g)
a = all(s in sp_w1 for s in w1) #cheking if included
b = all(s in sp_w0 for s in w0) #cheking if included
#if not included stop the algorithm
if not a or not b:
print "Error the solutions found are not included to the true solutions"
return -1
#total percentage solved
percent_solved_total = ((float(len(w0)) + len(w1)) /(len(sp_w0) + len(sp_w1))) * 100
#percentage solved for player 0
if len(sp_w0) > 0:
percent_solved_0 = (float(len(w0)) /len(sp_w0)) * 100
else:
percent_solved_0 = 100
#percentage solved for player 1
if len(sp_w1) > 0:
percent_solved_1 = (float(len(w1)) /len(sp_w1)) * 100
else:
percent_solved_1 = 100
#adding the percentages computed to the list + the size of the game
percent_solv.append((len(g.get_nodes()), percent_solved_total, percent_solved_0, percent_solved_1))
comp_solv += 5*n/step - len(not_comp_solved)
io.write_benchmark_partial_solver(comp_solv, part_solv, percent_solv, path_res+"_"+str(lam)+".txt", n_[i], y[i], 5*n, 1, lam, False, "")