class PAGERANK_MARKING_FAST(page_replacement_algorithm):
def __init__(self, N):
self.T = Disk(N)
self.H = Disk(N)
self.N = N
self.marked = set()
self.G = {} ## local access graph
self.last_request = -1
self.first_request = False
self.PR = {}
def get_N(self) :
return self.N
def request(self,page) :
# print('request: ', page)
page_fault = False
if not self.first_request :
self.__add_edge(self.last_request, page)
self.last_request = page
self.first_request = False
if page in self.T :
## Mark page
self.marked.add(page)
else :
if page in self.H :
self.H.delete(page)
# Start a new phase when all pages are marked and a page fault occurs
# Unmark all the pages
if len(self.marked) == self.N :
self.marked.clear()
self.PR = self.compute_pagerank(page)
if self.T.size() == self.N :
## Get the set of unmarked pages
U = set(self.T.get_data()) - self.marked
# Compute the page rank of all pages
# self.PR = self.compute_pagerank(page)
## Choose a page with minimum pagerank
least_pagerank_page = -1
for u in U :
if least_pagerank_page == -1 or self.PR[u] < self.PR[least_pagerank_page] :
least_pagerank_page = u
## Delete page from cache
self.T.delete(least_pagerank_page)
## Remove least resent page from history
if self.H.size() == self.N :
u = self.H.deleteFront()
if u is not None and page in self.G :
# print('G.pop (',u,')')
self.G.pop(u, None)
## Move discarted page to history
self.H.add(least_pagerank_page)
## Mark page and add to T
self.marked.add(page)
self.T.add(page)
## Page fault is True
page_fault = True
return page_fault
def __add_edge(self, u,v) :
if u not in self.G :
self.G[u] = set()
if v not in self.G :
self.G[v] = set()
self.G[u] = self.G[u] | {v}
self.G[v] = self.G[v] | {u}
def __get_adj_matrix(self) :
## Mapping
node_id = {}
node_name = {}
for i,node in enumerate(self.G) :
node_id[node] = i
node_name[i] = node
A = np.zeros((len(node_id),len(node_id)))
for u in self.G :
adj = list(self.G[u])
for v in adj:
if v in self.G :
u_id = node_id[u]
v_id = node_id[v]
A[u_id,v_id] = 1
A[v_id,u_id] = 1
else :
self.G[u] = self.G[u] - {v}
return A,node_id,node_name
def __mult_matrix(self,A,n) :
B = np.eye(len(A))
while n > 0 :
if n % 2 == 1 :
B = np.matmul(B,A)
A = np.matmul(A,A)
n = n / 2
return B
def compute_pagerank(self, init_page) :
A, node_id, node_name = self.__get_adj_matrix()
u = node_id[init_page]
n = len(A)
## Transportation vector
E = np.zeros(n)
E[u] = 1
# ranks_per_page = pr.compute(A,teleport_vector=tv)
pr = Pagerank()
R = pr.compute_local(A,E)
PR = {}
for v,pr in enumerate(R) :
PR[node_name[v]] = pr
return PR
def page_label(self,page):
lab = "%s(%.1f)" % (page, self.PR[page] if page in self.PR else 0)
return lab
def page_color(self,page) :
if page in self.marked :
return 1 ## Red
else :
return 0 # white
def debug(self) :
X = []
for u in self.get_data() :
X.append((self.P[u],u))
def get_data(self):
# data = []
# for i,p,m in enumerate(self.T):
# data.append((p,m,i,0))
# return data
return [self.T.get_data(), self.H.get_data()]
class ARC(page_replacement_algorithm):
def __init__(self, N):
self.N = N
self.T1 = Disk(N)
self.T2 = Disk(N)
self.B1 = Disk(N)
self.B2 = Disk(2 * N)
self.P = 0
self.time = 0
self.X = []
self.Y = []
self.unique = {}
self.unique_cnt = 0
self.pollution_dat_x = []
self.pollution_dat_y = []
def getWeights(self):
# return np.array([self. X, self.Y1, self.Y2,self.pollution_dat_x,self.pollution_dat_y ]).T
return np.array([self.pollution_dat_x, self.pollution_dat_y]).T
def getStats(self):
d = {}
d['pollution'] = np.array([self.pollution_dat_x,
self.pollution_dat_y]).T
return d
def visualize(self, plt):
# l1, = plt.plot(self.X,self.Y,'r-', label='ARC p-value')
# return [l1]
return []
def get_N(self):
return self.N
def request(self, page):
page_fault = False
self.time += 1
# self.X.append(self.time)
# self.Y.append(1.0*self.P / self.N)
t1 = self.T1.size()
t2 = self.T2.size()
b1 = self.B1.size()
b2 = self.B2.size()
assert t1 + t2 <= self.N, 'Error: t1+t2 should not be bigger than self.N. t1+t2=%d+%d=%d' % (
t1, t2, t1 + t2)
assert t1 + b1 <= self.N, 'Error: t1+b1 should not be bigger than self.N. t1+b1=%d+%d=%d' % (
t1, b1, t1 + b1)
assert t1 + t2 + b1 + b2 <= 2 * self.N, 'Error: t1+t2+b1+b2 should not be bigger than 2*self.N. t1+t2+b1+b2=%d+%d+%d+%d=%d' % (
t1, t2, b1, b2, t1 + t2 + b1 + b2)
if page in self.T1 or page in self.T2:
if page in self.T1:
assert self.T1.delete(page)
if page in self.T2:
assert self.T2.delete(page)
assert self.T2.add(page), 'failed adding to T2 at Case 1'
elif self.B1.inDisk(page):
if self.B2.size() > self.B1.size():
r = self.B2.size() / self.B1.size()
else:
r = 1
self.P = min(self.P + r, self.N)
self.__replace(page)
assert self.B1.delete(page)
assert self.T2.add(page), 'failed adding to T2 at case B1'
page_fault = True
elif self.B2.inDisk(page):
if self.B1.size() > self.B2.size():
r = self.B1.size() / self.B2.size()
else:
r = 1
self.P = max(self.P - r, 0)
self.__replace(page)
assert self.B2.delete(page)
assert self.T2.add(page), 'failed adding to T2 at case B2'
page_fault = True
else:
if t1 + b1 == self.N:
if t1 < self.N:
assert self.B1.deleteFront(
) is not None, 'Error deleting front of B1'
self.__replace(page)
else:
assert self.T1.deleteFront(
) is not None, 'Error deleting front of T1'
elif t1 + b1 < self.N:
if t1 + t2 + b1 + b2 >= self.N:
if t1 + t2 + b1 + b2 == 2 * self.N:
assert self.B2.deleteFront(
) is not None, 'Error deleting front of B2'
self.__replace(page)
# Add page to the MRU position in T1
assert self.T1.add(page), 'failed adding page to T1 at case 4'
page_fault = True
if page_fault:
self.unique_cnt += 1
self.unique[page] = self.unique_cnt
if self.time % self.N == 0:
pollution = 0
for pg in self.T1.getData() + self.T2.getData():
if self.unique_cnt - self.unique[pg] >= 2 * self.N:
pollution += 1
self.pollution_dat_x.append(self.time)
self.pollution_dat_y.append(100 * pollution / self.N)
return page_fault
def __replace(self, x):
if self.T1.size() > 0 and (self.T1.size() > self.P or
(self.B1.inDisk(x)
and self.T1.size() == int(self.P))):
y = self.T1.deleteFront()
assert y is not None, 'Error deleting front of T1 in replace (Case 1)'
assert self.B1.add(
y), 'failed adding page to B1 at replace 1(Case 1)'
else:
y = self.T2.deleteFront()
assert y is not None, 'Error deleting front of T2 in replace (Case 2)'
assert self.B2.add(
y), 'failed adding page to B2 at replace 1(Case 2)'
# s1 = self.T1.size()+self.T2.size()
# s2 = self.B1.size()+self.B2.size()
# print('sizes = %d + %d + %d + %d = %d + %d = %d' % (self.T1.size(),self.T2.size(),self.B1.size(),self.B2.size(), s1,s2,s1+s2))
# print('failed adding at replace 2 %d ' %y)
def get_data(self):
return [
self.T1.get_data(),
self.T2.get_data(),
self.B1.get_data(),
self.B2.get_data()
]
def get_list_labels(self):
return ['T1', 'T2', 'B1', 'B2']
class ARCOPT(page_replacement_algorithm):
def __init__(self, N, traces):
self.T = []
self.N = N
self.T1 = Disk(N)
self.T2 = Disk(N)
self.B1 = Disk(N)
self.B2 = Disk(2 * N)
self.P = 0
self.page_request_time = {}
##
for i, p in enumerate(traces):
if p not in self.page_request_time:
self.page_request_time[p] = Queue.Queue()
self.page_request_time[p].put(i)
def get_N(self):
return self.N
def request(self, page):
x = self.page_request_time[page].get()
#print self.T1.size(), self.T2.size()
page_fault = False
#if inList(self.T, page):
if self.T1.inDisk(page) or self.T2.inDisk(page):
#self.T = moveToMRU(self.T,page)
if page in self.T1:
self.T1.delete(page)
if page in self.T2:
self.T2.delete(page)
if not self.T2.add(page):
print('failed adding at Case 1')
elif self.B1.inDisk(page):
self.__replace(page)
self.B1.delete(page)
if not self.T2.add(page):
print('failed adding at B1')
page_fault = True
elif self.B2.inDisk(page):
self.__replace(page)
self.B2.delete(page)
if not self.T2.add(page):
print('failed adding at B2')
page_fault = True
else:
t1 = self.T1.size()
t2 = self.T2.size()
b1 = self.B1.size()
b2 = self.B2.size()
if t1 + b1 == self.N:
if t1 < self.N:
self.B1.deleteFront()
self.__replace(page)
else:
self.T1.deleteFront()
elif t1 + b1 < self.N:
if t1 + t2 + b1 + b2 >= self.N:
if t1 + t2 + b1 + b2 == 2 * self.N:
self.B2.deleteFront()
self.__replace(page)
# Add page to the MRU position in T1
# self.T.append(page)
if not self.T1.add(page):
print('failed adding at case 4')
page_fault = True
return page_fault
def __replace(self, x):
if self.T1.size() == 0:
y = self.T2.deleteFront()
if not y == None:
self.B2.add(y)
elif self.T2.size() == 0:
y = self.T1.deleteFront()
if not y == None:
self.B1.add(y)
else:
t1_page = self.T1.getIthPage(0)
t2_page = self.T2.getIthPage(0)
if not self.page_request_time[t1_page].empty():
page1_time = self.page_request_time[t1_page].queue[0]
else:
page1_time = int(1e15)
if not self.page_request_time[t2_page].empty():
page2_time = self.page_request_time[t2_page].queue[0]
else:
page2_time = int(1e15)
if page1_time > page2_time:
y = self.T2.deleteFront()
if not y == None:
self.B2.add(y)
else:
y = self.T1.deleteFront()
if not y == None:
self.B1.add(y)
def get_data(self):
return [
self.T1.get_data(),
self.T2.get_data(),
self.B1.get_data(),
self.B2.get_data()
]
def get_list_labels(self):
return ['T1', 'T2', 'B1', 'B2']
class ARC(page_replacement_algorithm):
def __init__(self, N):
self.T = []
self.N = N
self.T1 = Disk(N)
self.T2 = Disk(N)
self.B1 = Disk(N)
self.B2 = Disk(2 * N)
self.P = 0
def get_N(self):
return self.N
def request(self, page):
page_fault = False
#if inList(self.T, page):
if self.T1.inDisk(page) or self.T2.inDisk(page):
#self.T = moveToMRU(self.T,page)
if page in self.T1:
self.T1.delete(page)
if page in self.T2:
self.T2.delete(page)
if not self.T2.add(page):
print('failed adding at Case 1')
elif self.B1.inDisk(page):
if self.B2.size() > self.B1.size():
r = self.B2.size() / self.B1.size()
else:
r = 1
self.P = min(self.P + r, self.N)
self.__replace(page)
self.B1.delete(page)
if not self.T2.add(page):
print('failed adding at B1')
page_fault = True
elif self.B2.inDisk(page):
if self.B1.size() > self.B2.size():
r = self.B1.size() / self.B2.size()
else:
r = 1
self.P = min(self.P - r, 0)
self.__replace(page)
self.B2.delete(page)
if not self.T2.add(page):
print('failed adding at B2')
page_fault = True
else:
t1 = self.T1.size()
t2 = self.T2.size()
b1 = self.B1.size()
b2 = self.B2.size()
if t1 + b1 == self.N:
if t1 < self.N:
self.B1.deleteFront()
self.__replace(page)
else:
self.T1.deleteFront()
elif t1 + b1 < self.N:
if t1 + t2 + b1 + b2 >= self.N:
if t1 + t2 + b1 + b2 == 2 * self.N:
self.B2.deleteFront()
self.__replace(page)
# Add page to the MRU position in T1
# self.T.append(page)
if not self.T1.add(page):
print('failed adding at case 4')
page_fault = True
return page_fault
def __replace(self, x):
if self.T1.size() > 0 and (self.T1.size() > self.P or
(self.B1.inDisk(x)
and self.B1.size() == self.P)):
y = self.T1.deleteFront()
if not y == None:
if not self.B1.add(y):
print('failed adding at replace 1')
else:
y = self.T2.deleteFront()
if not y == None:
if not self.B2.add(y):
print('sizes = %d %d %d %d' %
(self.T1.size(), self.T2.size(), self.B1.size(),
self.B2.size()))
print('failed adding at replace 2 %d ' % y)
def get_data(self):
return [
self.T1.get_data(),
self.T2.get_data(),
self.B1.get_data(),
self.B2.get_data()
]
def get_list_labels(self):
return ['T1', 'T2', 'B1', 'B2']
class WALK_MARKING_SLOW(page_replacement_algorithm):
def __init__(self, N):
self.T = Disk(N)
self.H = Disk(N)
self.N = N
self.marked = set()
self.G = {} ## local access graph
self.is_first_request = True
self.last_request = -1
self.page_probability = {}
def get_N(self):
return self.N
def request(self, page):
# print('request: ', page)
page_fault = False
if not self.is_first_request:
self.__add_edge(self.last_request, page)
self.last_request = page
self.is_first_request = False
if page in self.T:
## Mark page
self.marked.add(page)
else:
if page in self.H:
self.H.delete(page)
# Start a new phase when all pages are marked and a page fault occurs
# Unmark all the pages
if len(self.marked) == self.N:
self.marked.clear()
if self.T.size() == self.N:
self.page_probability = self.__calculate_prob(page)
## Get the set of unmarked pages
U = set(self.T.get_data()) - self.marked
U_list = list(U)
U_dist = []
for u in U_list:
U_dist.append(self.page_probability[u])
page_to_evict = random_select_page(U_list, U_dist)
## Delete page from cache
self.T.delete(page_to_evict)
## Remove least resent page from history
if self.H.size() == self.N:
hist_lru = self.H.deleteFront()
if hist_lru is not None and hist_lru in self.G:
self.G.pop(hist_lru, None)
## Move discarted page to history
self.H.add(page_to_evict)
## Mark page and add to T
self.marked.add(page)
self.T.add(page)
## Page fault is True
page_fault = True
return page_fault
def __add_edge(self, u, v):
if u not in self.G:
self.G[u] = set()
if v not in self.G:
self.G[v] = set()
self.G[u] = self.G[u] | {v}
self.G[v] = self.G[v] | {u}
def get_adj_matrix(self):
## Mapping
node_id = {}
node_name = {}
for i, node in enumerate(self.G):
node_id[node] = i
node_name[i] = node
A = np.zeros((len(node_id), len(node_id)))
for u in self.G:
adj = list(self.G[u])
for v in adj:
if v in self.G:
u_id = node_id[u]
v_id = node_id[v]
A[u_id, v_id] = 1
A[v_id, u_id] = 1
else:
self.G[u] = self.G[u] - {v}
## Normalize
for u in range(len(A)):
degree = np.sum(A[u, :])
if degree > 0:
A[u, :] /= degree
return A, node_id, node_name
def __calculate_prob(self, init_page):
A, node_id, node_name = self.get_adj_matrix()
u = node_id[init_page]
n = len(A)
M = Markov(A)
R = M.random_walk_distribution(u)
# print('R = ',R)
P = {}
for u, p in enumerate(R):
# print('PR[%s] = %f' % (node_name[u], pr))
P[node_name[u]] = p
return P
######################################################################################################################################
def page_label(self, page):
lab = "%s(%.1f)" % (page, self.page_probability[page]
if page in self.page_probability else 0)
return lab
def page_color(self, page):
if page in self.marked:
return 1 ## Red
else:
return 0 # white
def debug(self):
X = []
for u in self.get_data():
X.append((self.P[u], u))
def get_data(self):
# data = []
# for i,p,m in enumerate(self.T):
# data.append((p,m,i,0))
# return data
return [self.T.get_data()]
class TWO_LIST_MARKING:
def __init__(self, N):
self.M1 = Disk(N)
self.M2 = Disk(N)
self.U1 = Disk(N)
self.U2 = Disk(N)
self.B1 = Disk(N)
self.B2 = Disk(N)
self.P = 0
self.N = N
def get_N(self):
return self.N
def request(self, page):
pageFault = False
if self.M1.inDisk(page) or self.M2.inDisk(page) or self.U1.inDisk(
page) or self.U2.inDisk(page):
## Remove from the list
self.M1.delete(page)
self.M2.delete(page)
self.U1.delete(page)
self.U2.delete(page)
## Move to M2
self.M2.add(page)
else:
pageFault = True
## Start a new phase when all pages are marked and a page fault occurs
if self.M1.size() + self.M2.size() == self.N:
m1_data = self.M1.getData()
m2_data = self.M2.getData()
for x in m1_data:
self.M1.delete(x)
self.U1.add(x)
for x in m2_data:
self.M2.delete(x)
self.U2.add(x)
## If page is in history then update P
## u = u1 + u2
## 0 <= p <= u / u1
## p(u1) = p / u
## p(u2) = (u - p*u1)/(u*u2)
u1 = self.U1.size()
u2 = self.U2.size()
u = u1 + u2
if self.B1.inDisk(page):
if u1 > 0:
self.P += 1.0 * u2 / u1
else:
self.P += 0.5
if u1 > 0 and self.P > (u / u1):
self.P = (u / u1)
self.B1.delete(page)
elif self.B2.inDisk(page):
if u2 > 0:
self.P -= 1.0 * u1 / u2
else:
self.P -= 0.5
if self.P < 0:
self.P = 0
self.B2.delete(page)
if self.M1.size() + self.M2.size() + self.U1.size() + self.U2.size(
) == self.N:
# Evict a page
U1 = self.U1.getData()
U2 = self.U2.getData()
if u1 == 0:
p1 = 0
p2 = 1.0 / u
elif u2 == 0:
p1 = 1.0 / u
p2 = 0
else:
p1 = self.P / u # Probability of choosing a page in U1
p2 = (u - self.P * u1) / (
u * u2) # Probability of choosing a page in U2
## Calculate probability distribution
P = [0 for i in range(0, self.N)]
for i, u in enumerate(U1):
P[i] = p1
if i > 0:
P[i] += P[i - 1]
for i, u in enumerate(U2):
P[i + u1] = p2
if i + u1 > 0:
P[i + u1] += P[i + u1 - 1]
## Choose a page a random
ran = random.random()
U = U1 + U2
for i, u in enumerate(U):
if ran < P[i]:
self.U1.delete(u)
self.U2.delete(u)
evicted = u
if i < u1:
inU1 = True
else:
inU1 = False
break
if inU1:
if self.B1.size() == self.N:
self.B1.deleteFront()
self.B1.add(evicted)
else:
if self.B2.size() == self.N:
self.B2.deleteFront()
self.B2.add(evicted)
## Add new page to M1
self.M1.add(page)
return pageFault
def getData(self):
m1 = []
m2 = []
u1 = []
u2 = []
b1 = []
b2 = []
for m in self.M1.getData():
m1.append((m, 1))
for m in self.M2.getData():
m2.append((m, 3))
for u in self.U1.getData():
u1.append((u, 0))
for u in self.U2.getData():
u2.append((u, 2))
for m in self.B1.getData():
b1.append(m)
for m in self.B2.getData():
b2.append(m)
return [u1 + m1 + u2 + m2, b1, b2]
class HIT_MARKING(page_replacement_algorithm):
def __init__(self, N):
self.T = Disk(N)
self.H = Disk(N)
self.N = N
self.marked = set()
self.G = Graph() ## local access graph
self.is_first_request = True
self.last_request = -1
self.hitting_time = {}
self.fast_mode = True
self.use_weights = False
self.weights = {}
def request(self, page):
# print('request: ', page)
page_fault = False
if not self.is_first_request:
self.G.increase_edge_weight(self.last_request, page, 1)
self.last_request = page
self.is_first_request = False
if page in self.T:
## Mark page
self.marked.add(page)
else:
# Start a new phase when all pages are marked and a page fault occurs
# Unmark all the pages
if len(self.marked) == self.N:
self.marked.clear()
if self.fast_mode is True:
self.hitting_time = self.__calculate_hit_time(page)
if self.T.size() == self.N:
if self.fast_mode is False:
self.hitting_time = self.__calculate_hit_time(page)
## Get the set of unmarked pages
U = set(self.T.get_data()) - self.marked
U_list = list(U)
U_dist = []
for u in U_list:
U_dist.append(self.page_probability[u])
page_to_evict = random_select_page(U_list, U_dist)
## Delete page from cache
self.T.delete(page_to_evict)
## Remove least resent page from history
if self.H.size() == self.N:
hist_lru = self.H.deleteFront()
if hist_lru is not None and hist_lru in self.G:
self.G.pop(hist_lru, None)
## Mark page and add to T
self.marked.add(page)
self.T.add(page)
## Page fault is True
page_fault = True
return page_fault
def __calculate_hit_time(self, init_page):
A, node_id, node_name = self.G.get_adj_matrix()
#######################
## Hitting time
#######################
# print('R = ',R)
m = self.G.number_vertices()
m = self.G.number_edges()
P = {}
for u, p in enumerate(R):
# print('PR[%s] = %f' % (node_name[u], pr))
P[node_name[u]] = p
return P
######################################################################################################################################
def page_label(self, page):
lab = "%s(%.1f)" % (page, self.page_probability[page]
if page in self.page_probability else 0)
return lab
def page_color(self, page):
if page in self.marked:
return 1 ## Red
else:
return 0 # white
def debug(self):
X = []
for u in self.get_data():
X.append((self.P[u], u))
def get_data(self):
# data = []
# for i,p,m in enumerate(self.T):
# data.append((p,m,i,0))
# return data
return [self.T.get_data()]