コード例 #1
0
class LaCReME(page_replacement_algorithm):
    def __init__(self, N):
        self.N = N
        self.CacheRecency = Disk(N)
        self.CacheFrequecy = priorityqueue(N)
        self.Hist1 = Disk(N)
        self.Hist2 = priorityqueue(N)

        ## Config variables
        self.decayRate = 1
        self.epsilon = 0.05
        self.lamb = 0.05
        self.learning_phase = N / 2
        #         self.error_discount_rate = (0.005)**(1.0/N) ## TODO ADD BACK
        self.error_discount_rate = 1

        ##
        self.learning = True
        self.policy = 0
        self.evictionTime = {}
        self.policyUsed = {}
        self.weightsUsed = {}
        self.freq = {}

        ## TODO add decay_time and decay_factor
        self.decay_time = N
        self.decay_factor = 1

        ## Accounting variables
        self.time = 0

        self.W = np.array([.5, .5], dtype=np.float32)

        self.X = np.array([], dtype=np.int32)
        self.Y1 = np.array([])
        self.Y2 = np.array([])

    def get_N(self):
        return self.N

    def visualize(self, plt):
        #         print(np.min(self.X), np.max(self.X))
        ax = plt.subplot(2, 1, 1)
        ax.set_xlim(np.min(self.X), np.max(self.X))
        l1, = plt.plot(self.X, self.Y1, 'b-', label='W_lru')
        l2, = plt.plot(self.X, self.Y2, 'r-', label='W_lfu')
        return [l1, l2]

    ##########################################
    ## Add a page to cache using policy 'poly'
    ##########################################
    def addToCache(self, page, pagefreq=0):
        self.CacheRecency.add(page)
        self.CacheFrequecy.add(page)
        self.CacheRecency.increaseCount(page, amount=pagefreq)
        self.CacheFrequecy.increase(page, amount=pagefreq)

    ######################
    ## Get LFU or LFU page
    ######################
    def selectEvictPage(self, policy):
        r = self.CacheRecency.getIthPage(0)
        f = self.CacheFrequecy.peaktop()
        pageToEvit, policyUsed = None, None
        if r == f:
            pageToEvit, policyUsed = r, -1
        elif policy == 0:
            pageToEvit, policyUsed = r, 0
        elif policy == 1:
            pageToEvit, policyUsed = f, 1
        return pageToEvit, policyUsed

    def evictPage(self, pg):
        self.CacheRecency.delete(pg)
        self.CacheFrequecy.delete(pg)

    ##############################################################
    ## There was a page hit to 'page'. Update the data structures
    ##############################################################
    def pageHitUpdate(self, page):
        if page in self.CacheRecency and page in self.CacheFrequecy:
            self.CacheRecency.moveBack(page)
            self.CacheRecency.increaseCount(page)
            self.CacheFrequecy.increase(page)

    #########################
    ## Get the Q distribution
    #########################
    def getQ(self):
        return (1 - self.lamb) * self.W + self.lamb * np.ones(2) / 2

    ############################################
    ## Choose a page based on the q distribution
    ############################################
    def chooseRandom(self):
        q = self.getQ()
        r = np.random.rand()
        for i, p in enumerate(q):
            if r < p:
                return i
        return len(q) - 1

    def updateWeight(self, cost):
        self.W = self.W * (1 - self.epsilon * cost)
        self.W = self.W / np.sum(self.W)

    ########################################################################################################################################
    ####REQUEST#############################################################################################################################
    ########################################################################################################################################
    def request(self, page):
        page_fault = False
        self.time = self.time + 1
        #         if self.time % self.learning_phase == 0 :
        #             self.learning = not self.learning

        #####################
        ## Visualization data
        #####################
        prob = self.getQ()
        self.X = np.append(self.X, self.time)
        self.Y1 = np.append(self.Y1, prob[0])
        self.Y2 = np.append(self.Y2, prob[1])

        if self.time % self.N == 0:
            self.CacheFrequecy.decay(self.decay_factor)
            self.Hist2.decay(self.decay_factor)

        ##########################
        ## Process page request
        ##########################
        if page in self.CacheFrequecy:
            page_fault = False
            self.pageHitUpdate(page)
        else:

            #####################################################
            ## Learning step: If there is a page fault in history
            #####################################################
            pageevict, histpage_freq = None, 1
            policyUsed = -1
            if page in self.Hist1:
                pageevict = page
                histpage_freq = self.Hist1.getCount(page)
                self.Hist1.delete(page)
                policyUsed = 0
                self.W[0] = self.W[0] * (
                    1 -
                    self.epsilon) if self.policyUsed[page] != -1 else self.W[0]
            elif page in self.Hist2:
                pageevict = page
                histpage_freq = self.Hist2.getCount(
                    page)  ## Get the page frequency in history
                self.Hist2.delete(page)
                policyUsed = 1
                self.W[1] = self.W[1] * (
                    1 -
                    self.epsilon) if self.policyUsed[page] != -1 else self.W[1]
            self.W = self.W / np.sum(self.W)
            #             if pageevict is not None :
            #                 q = self.weightsUsed[pageevict]
            # #                 err = self.error_discount_rate ** (self.time - self.evictionTime[pageevict])
            #                 err = 1
            #                 reward = np.array([0,0], dtype=np.float32)
            #                 if policyUsed == 0 : # LRU
            #                     reward[0] = err
            #                 if policyUsed == 1:
            #                     reward[1] = err
            #                 reward_hat = reward

            #################
            ## Update Weights
            #################
            #                 if self.policyUsed[pageevict] != -1 :
            # #                     self.W = self.W * np.exp(self.lamb * reward_hat / 2)
            #                     self.W = self.W * (1 - reward*self.epsilon)
            #                     self.W = self.W / np.sum(self.W)

            ####################
            ## Remove from Cache
            ####################
            if self.CacheRecency.size() == self.N:

                ################
                ## Choose Policy
                ################
                #                 if  not self.learning :
                #                     act = np.argmax(self.getQ())
                #                 else :
                #                 act = self.chooseRandom()

                act = np.argmax(self.W)  ## REMOVE

                cacheevict, poly = self.selectEvictPage(act)
                pagefreq = self.CacheFrequecy.getCount(cacheevict)

                self.policyUsed[cacheevict] = poly
                self.weightsUsed[cacheevict] = self.getQ()
                self.evictionTime[cacheevict] = self.time

                ## TODO ADD BACK
                #                 if not self.learning :
                #                     self.policyUsed[cacheevict] = -1

                ###################
                ## Evict to history
                ###################
                histevict = None
                if (poly == 0) or (poly == -1 and np.random.rand() < 0.5):
                    if self.Hist1.size() == self.N:
                        histevict = self.Hist1.getIthPage(0)
                        self.Hist1.delete(histevict)
                    self.Hist1.add(cacheevict)
                    self.Hist1.setCount(cacheevict, pagefreq)
                else:
                    if self.Hist2.size() == self.N:
                        histevict = self.Hist2.popmin()
                    self.Hist2.add(cacheevict)
                    self.Hist2.increase(cacheevict, pagefreq - 1)

                if histevict is not None:
                    del self.evictionTime[histevict]
                    del self.policyUsed[histevict]
                    del self.weightsUsed[histevict]

                self.evictPage(cacheevict)

            self.addToCache(page, pagefreq=histpage_freq)

            page_fault = True

        return page_fault

    def get_list_labels(self):
        return ['L']
コード例 #2
0
class LaCReME_simple(page_replacement_algorithm):
    def __init__(self, N):
        self.N = N
        self.CacheRecency = Disk(N)
        self.CacheFrequecy = priorityqueue(N)
        self.Hist1 = Disk(N)
        self.Hist2 = priorityqueue(N)

        ## Config variables
        self.decayRate = 1
        self.epsilon = 0.05
        self.learning_phase = N / 2

        ##
        self.learning = True
        self.policy = 0
        self.evictionTime = {}
        self.policyUsed = {}
        self.weightsUsed = {}
        self.freq = {}

        ## TODO add decay_time and decay_factor
        self.decay_time = N
        self.decay_factor = 1

        ## Accounting variables
        self.time = 0
        self.W = np.array([.5, .5], dtype=np.float32)

        ## For visualization
        self.X = np.array([], dtype=np.int32)
        self.Y1 = np.array([])
        self.Y2 = np.array([])

    def get_N(self):
        return self.N

    def visualize(self, plt):
        ax = plt.subplot(2, 1, 1)
        ax.set_xlim(np.min(self.X), np.max(self.X))
        l1, = plt.plot(self.X, self.Y1, 'b-', label='W_lru')
        l2, = plt.plot(self.X, self.Y2, 'r-', label='W_lfu')
        return [l1, l2]

    ##########################################
    ## Add a page to cache using policy 'poly'
    ##########################################
    def addToCache(self, page, pagefreq=0):
        self.CacheRecency.add(page)
        self.CacheFrequecy.add(page)
        self.CacheRecency.increaseCount(page, amount=pagefreq)
        self.CacheFrequecy.increase(page, amount=pagefreq)

    ######################
    ## Get LFU or LFU page
    ######################
    def selectEvictPage(self, policy):
        r = self.CacheRecency.getIthPage(0)
        f = self.CacheFrequecy.peaktop()
        pageToEvit, policyUsed = None, None
        if r == f:
            pageToEvit, policyUsed = r, -1
        elif policy == 0:
            pageToEvit, policyUsed = r, 0
        elif policy == 1:
            pageToEvit, policyUsed = f, 1
        return pageToEvit, policyUsed

    def evictPage(self, pg):
        self.CacheRecency.delete(pg)
        self.CacheFrequecy.delete(pg)

    ##############################################################
    ## There was a page hit to 'page'. Update the data structures
    ##############################################################
    def pageHitUpdate(self, page):
        if page in self.CacheRecency and page in self.CacheFrequecy:
            self.CacheRecency.moveBack(page)
            self.CacheRecency.increaseCount(page)
            self.CacheFrequecy.increase(page)

    ############################################
    ## Choose a page based on the q distribution
    ############################################
    def chooseRandom(self):
        q = self.getQ()
        r = np.random.rand()
        for i, p in enumerate(q):
            if r < p:
                return i
        return len(q) - 1

    ##################
    ####REQUEST#######
    ##################
    def request(self, page):
        page_fault = False
        self.time = self.time + 1

        #####################
        ## Visualization data
        #####################
        self.X = np.append(self.X, self.time)
        self.Y1 = np.append(self.Y1, self.W[0])
        self.Y2 = np.append(self.Y2, self.W[1])

        if self.time % self.N == 0:
            self.CacheFrequecy.decay(self.decay_factor)
            self.Hist2.decay(self.decay_factor)

        ##########################
        ## Process page request
        ##########################
        if page in self.CacheFrequecy:
            page_fault = False
            self.pageHitUpdate(page)
        else:

            #####################################################
            ## Learning step: If there is a page fault in history
            #####################################################
            histpage_freq = 1
            if page in self.Hist1:
                histpage_freq = self.Hist1.getCount(page)
                self.Hist1.delete(page)
                self.W[0] = self.W[0] * (
                    1 -
                    self.epsilon) if self.policyUsed[page] != -1 else self.W[0]
            elif page in self.Hist2:
                histpage_freq = self.Hist2.getCount(
                    page)  ## Get the page frequency in history
                self.Hist2.delete(page)
                self.W[1] = self.W[1] * (
                    1 -
                    self.epsilon) if self.policyUsed[page] != -1 else self.W[1]

            ####################
            ## Normalize weights
            ####################
            self.W = self.W / np.sum(self.W)

            ####################
            ## Remove from Cache
            ####################
            if self.CacheRecency.size() == self.N:

                ################################################################
                ## Choose Policy by picking the one with the highest weight
                ################################################################
                act = np.argmax(self.W)

                cacheevict, poly = self.selectEvictPage(act)
                pagefreq = self.CacheFrequecy.getCount(cacheevict)

                self.policyUsed[cacheevict] = poly
                self.weightsUsed[cacheevict] = self.W
                self.evictionTime[cacheevict] = self.time

                ###################
                ## Evict to history
                ###################
                histevict = None
                if (poly == 0) or (poly == -1 and np.random.rand() < 0.5):
                    if self.Hist1.size() == self.N:
                        histevict = self.Hist1.getIthPage(0)
                        self.Hist1.delete(histevict)
                    self.Hist1.add(cacheevict)
                    self.Hist1.setCount(cacheevict, pagefreq)
                else:
                    if self.Hist2.size() == self.N:
                        histevict = self.Hist2.popmin()
                    self.Hist2.add(cacheevict)
                    self.Hist2.increase(cacheevict, pagefreq - 1)

                ##################################
                ## Remove histevict from the system
                ###################################
                if histevict is not None:
                    del self.evictionTime[histevict]
                    del self.policyUsed[histevict]
                    del self.weightsUsed[histevict]

                ##############################################
                ## Remove cacheevict from both data structures
                ##############################################
                self.evictPage(cacheevict)

            ###################################
            ## Add page to both data structures
            ###################################
            self.addToCache(page, pagefreq=histpage_freq)

            page_fault = True

        return page_fault

    def get_list_labels(self):
        return ['L']
コード例 #3
0
class LaCReME_context1(page_replacement_algorithm):

    def __init__(self, N):
        self.N = N
        self.CacheRecency = Disk(N)
        self.CacheFrequecy = priorityqueue(N)
        
        self.Hist1 = Disk(N)        
        self.Hist2 = priorityqueue(N)        
        
        ## Config variables
        self.decayRate = 1
        self.epsilon = 0.90
        self.lamb = 0.05
        self.learning_phase = N/2
        self.error_discount_rate = (0.005)**(1.0/N)
#         self.error_discount_rate = 1
        
        ## 
        self.learning = True
        self.policy = 0
        self.evictionTime = {}
        self.policyUsed = {}
        self.weightsUsed = {}
        self.freq = {}
        
        ## TODO add decay_time and decay_factor
        self.decay_time = N
        self.decay_factor = 1
        
        ## Accounting variables
        self.time = 0
        self.W = np.zeros((10,2))
        self.W[:,:] = 0.5
        
        self.X = np.array([],dtype=np.int32)
        self.Y1 = np.array([])
        self.Y2 = np.array([])
        
        
        ###
        self.q = Queue.Queue()
        self.sum = 0
        self.NewPages = []
        
        
    def get_N(self) :
        return self.N
    
    def visualize(self, plt):
#         print(np.min(self.X), np.max(self.X))
        ax = plt.subplot(2,1,1)
        ax.set_xlim(np.min(self.X), np.max(self.X))
        l1, = plt.plot(self.X,self.Y1, 'b-', label='W_lru')
        l2, = plt.plot(self.X,self.Y2, 'r-', label='W_lfu')
        l3, = plt.plot(self.X, self.NewPages, 'g-', label='New Pages')
        return [l1,l2,l3]
        
    def __keyWithMinVal(self,d):
        v=list(d.values())
        k=list(d.keys())
        return k[v.index(min(v))]
    
    def getMinValueFromCache(self, values):
        minpage,first = -1, True
        for q in self.Cache :
            if first or values[q] < values[minpage] :
                minpage,first=q,False
        return minpage
    
    ##########################################
    ## Add a page to cache using policy 'poly'
    ##########################################
    def addToCache(self, page,pagefreq=0):
        self.CacheRecency.add(page)
        self.CacheFrequecy.add(page)
        self.CacheRecency.increaseCount(page, amount=pagefreq)
        self.CacheFrequecy.increase(page, amount=pagefreq)
    ######################
    ## Get LFU or LFU page
    ######################    
    def selectEvictPage(self, policy):
        r = self.CacheRecency.getIthPage(0)
        f = self.CacheFrequecy.peaktop()
        pageToEvit,policyUsed = None, None
        if r == f :
            pageToEvit,policyUsed = r,-1
        elif policy == 0:
            pageToEvit,policyUsed = r,0
        elif policy == 1:
            pageToEvit,policyUsed = f,1
        return pageToEvit,policyUsed
    
    def evictPage(self, pg):
        self.CacheRecency.delete(pg)
        self.CacheFrequecy.delete(pg)
    
    ##############################################################
    ## There was a page hit to 'page'. Update the data structures
    ##############################################################
    def pageHitUpdate(self, page):
        if page in self.CacheRecency and page in self.CacheFrequecy:
            self.CacheRecency.moveBack(page)
            self.CacheRecency.increaseCount(page)
            self.CacheFrequecy.increase(page)
    
    #########################
    ## Get the Q distribution
    #########################
    def getQ(self,wid):
        return (1-self.lamb) * self.W[wid] + self.lamb*np.ones(2)/2
    ############################################
    ## Choose a page based on the q distribution
    ############################################
    def chooseRandom(self, wid):
        q = self.getQ(wid)
        r = np.random.rand()
        for i,p in enumerate(q):
            if r < p:
                return i 
        return len(q)-1
    def updateWeight(self, cost):
        self.W = self.W * (1-self.epsilon * cost)
        self.W = self.W / np.sum(self.W)
    
    ########################################################################################################################################
    ####REQUEST#############################################################################################################################
    ########################################################################################################################################
    def request(self,page) :
        page_fault = False
        self.time = self.time + 1
#         if self.time % self.learning_phase == 0 :
#             self.learning = not self.learning
        
        partitions = 5
        newpagesratio = 1.0*self.sum / self.N
        weigthid = int(newpagesratio*partitions) if newpagesratio < 1.0 else partitions-1
        
        #####################
        ## Visualization data
        #####################
        prob = self.getQ(weigthid)
        self.X = np.append(self.X, self.time)
        self.Y1 = np.append(self.Y1, prob[0])
        self.Y2 = np.append(self.Y2, prob[1])
        notInHistory = 0
        
        
        ##########################
        ## Process page request 
        ##########################
        if page in self.CacheFrequecy:
            page_fault = False
            self.pageHitUpdate(page)
        else :
            
            #####################################################
            ## Learning step: If there is a page fault in history
            #####################################################
            pageevict, histpage_freq = None,1
            policyUsed = -1
            if page in self.Hist1:
                pageevict = page
                histpage_freq = self.Hist1.getCount(page)
                self.Hist1.delete(page)
                policyUsed = 0
            elif page in self.Hist2:
                pageevict = page
                histpage_freq = self.Hist2.getFreq(page) ## Get the page frequency in history
                self.Hist2.delete(page)
                policyUsed = 1
            else:
                notInHistory = 1
                
            if pageevict is not None :
                q = self.weightsUsed[pageevict]
                err = self.error_discount_rate ** (self.time - self.evictionTime[pageevict])
                reward = np.array([0,0], dtype=np.float32)
                if policyUsed == 0 : # LRU
                    reward[1] = err
                if policyUsed == 1:
                    reward[0] = err
                reward_hat = reward / q
                
                #################
                ## Update Weights
                #################
                if self.policyUsed[pageevict] != -1 :
                    self.W[weigthid] = self.W[weigthid] * np.exp(self.lamb * reward_hat / 2)
                    self.W[weigthid] = self.W[weigthid] / np.sum(self.W[weigthid])
            
            ####################
            ## Remove from Cache
            ####################
            if self.CacheRecency.size() == self.N:
                
                ################
                ## Choose Policy
                ################
                if  not self.learning :
                    act = np.argmax(self.W[weigthid])
                else :
                    act = self.chooseRandom(weigthid)

                cacheevict,poly = self.selectEvictPage(act)
                pagefreq = self.CacheFrequecy.getCount(cacheevict) 
                
                self.policyUsed[cacheevict] = poly
                self.weightsUsed[cacheevict] = self.getQ(weigthid)
                self.evictionTime[cacheevict] = self.time
                        
                if not self.learning :
                    self.policyUsed[cacheevict] = -1
                
                ###################
                ## Evict to history
                ###################
                histevict = None
                if (poly == 0) or (poly==-1 and np.random.rand() <0.5):
                    if self.Hist1.size() == self.N :
                        histevict = self.Hist1.getIthPage(0)
                        self.Hist1.delete(histevict)
                    self.Hist1.add(cacheevict)
                    self.Hist1.setCount(cacheevict, pagefreq)
                else:
                    if self.Hist2.size() == self.N :
                        histevict = self.Hist2.popmin()
                    self.Hist2.add(cacheevict)
                    self.Hist2.increase(cacheevict, pagefreq-1)
                
                if histevict is not None :
                    del self.evictionTime[histevict]
                    del self.policyUsed[histevict]
                    del self.weightsUsed[histevict]
                
                self.evictPage(cacheevict)
                
            self.addToCache(page, pagefreq=histpage_freq)
            
            page_fault = True

        self.q.put(notInHistory)
        self.sum += notInHistory
        if self.q.qsize() > self.N:
            self.sum -= self.q.get()
        
        self.NewPages.append(newpagesratio)
        
        return page_fault

    def get_list_labels(self) :
        return ['L']
コード例 #4
0
class LaCReME_LFU_ARC(page_replacement_algorithm):
    def __init__(self, N):
        self.N = N
        self.CacheARC = ArcDT(N)
        self.CacheFrequecy = priorityqueue(N)

        self.Hist1 = Disk(N, name='Hist1')
        self.Hist2 = Disk(N, name='Hist2')

        ## Config variables
        self.decayRate = 1
        self.epsilon = 0.90
        self.lamb = 0.05
        self.learning_phase = N / 2
        self.error_discount_rate = (0.005)**(1.0 / N)
        ##
        self.learning = True
        self.policy = 0
        self.evictionTime = {}
        self.policyUsed = {}
        self.weightsUsed = {}
        self.freq = {}

        ## TODO add decay_time and decay_factor
        self.decay_time = N
        self.decay_factor = 1

        ## Accounting variables
        self.time = 0

        self.W = np.array([.5, .5], dtype=np.float32)

        self.X = np.array([], dtype=np.int32)
        self.Y1 = np.array([])
        self.Y2 = np.array([])

    def get_N(self):
        return self.N

    def visualize(self, plt):
        #         print(np.min(self.X), np.max(self.X))
        ax = plt.subplot(2, 1, 1)
        ax.set_xlim(np.min(self.X), np.max(self.X))
        l1, = plt.plot(self.X, self.Y1, 'b-', label='W_lru')
        l2, = plt.plot(self.X, self.Y2, 'r-', label='W_lfu')
        return [l1, l2]

    def __keyWithMinVal(self, d):
        v = list(d.values())
        k = list(d.keys())
        return k[v.index(min(v))]

    ##########################################
    ## Add a page to cache using policy 'poly'
    ##########################################
    def addToCache(self, page, pagefreq=0):
        self.CacheARC.request(page)
        self.CacheARC.setCount(page=page, cnt=pagefreq)
        self.CacheFrequecy.add(page)
        self.CacheFrequecy.increase(page, amount=pagefreq)

    ######################
    ## Get LFU or LFU page
    ######################
    def updateCacheUsingPolicy(self, policy, requested_page, page_freq):
        pageToEvit, policyUsed = None, None
        if policy == 0:
            ## Use ARC
            r = self.CacheARC.request(requested_page)
            self.CacheARC.setCount(requested_page, page_freq)
            evict_page_freq = self.CacheFrequecy.getCount(r)
            # Add page to LFU
            self.CacheFrequecy.delete(r)
            self.CacheFrequecy.add(requested_page)

            pageToEvit, policyUsed = r, 0
        elif policy == 1:
            ## Use LFU
            evict_page_freq = self.CacheFrequecy.getCount(
                self.CacheFrequecy.peaktop())
            f = self.CacheFrequecy.popmin()
            self.CacheFrequecy.add(requested_page)

            ## Add page to arc
            self.CacheARC.delete(f)
            self.CacheARC.add(requested_page)

            pageToEvit, policyUsed = f, 1

        return pageToEvit, policyUsed, evict_page_freq

    def evictPage(self, pg):
        self.CacheARC.delete(pg)
        self.CacheFrequecy.delete(pg)

    ##############################################################
    ## There was a page hit to 'page'. Update the data structures
    ##############################################################
    def pageHitUpdate(self, page):
        assert page in self.CacheARC and page in self.CacheFrequecy
        self.CacheARC.request(page)
        self.CacheFrequecy.increase(page)

    #########################
    ## Get the Q distribution
    #########################
    def getQ(self):
        return (1 - self.lamb) * self.W + self.lamb * np.ones(2) / 2

    ############################################
    ## Choose a page based on the q distribution
    ############################################
    def chooseRandom(self):
        q = self.getQ()
        r = np.random.rand()
        for i, p in enumerate(q):
            if r < p:
                return i
        return len(q) - 1

    def updateWeight(self, cost):
        self.W = self.W * (1 - self.epsilon * cost)
        self.W = self.W / np.sum(self.W)

    ########################################################################################################################################
    ####REQUEST#############################################################################################################################
    ########################################################################################################################################
    def request(self, page):
        page_fault = False
        self.time = self.time + 1
        #         if self.time % self.learning_phase == 0 :
        #             self.learning = not self.learning

        #####################
        ## Visualization data
        #####################
        prob = self.getQ()
        self.X = np.append(self.X, self.time)
        self.Y1 = np.append(self.Y1, prob[0])
        self.Y2 = np.append(self.Y2, prob[1])

        ##########################
        ## Process page request
        ##########################
        if page in self.CacheFrequecy:
            page_fault = False
            self.pageHitUpdate(page)
        else:

            #####################################################
            ## Learning step: If there is a page fault in history
            #####################################################
            pageevict, histpage_freq = None, 1
            policyUsed = -1
            if page in self.Hist1:
                pageevict = page
                histpage_freq = self.Hist1.getCount(page)
                self.Hist1.delete(page)
                policyUsed = 0
            elif page in self.Hist2:
                pageevict = page
                histpage_freq = self.Hist2.getCount(
                    page)  ## Get the page frequency in history
                self.Hist2.delete(page)
                policyUsed = 1
            if pageevict is not None:
                q = self.weightsUsed[pageevict]
                err = self.error_discount_rate**(self.time -
                                                 self.evictionTime[pageevict])
                reward = np.array([0, 0], dtype=np.float32)
                if policyUsed == 0:  # LRU
                    reward[1] = err
                if policyUsed == 1:
                    reward[0] = err
                reward_hat = reward / q

                #################
                ## Update Weights
                #################
                if self.policyUsed[pageevict] != -1:
                    self.W = self.W * np.exp(self.lamb * reward_hat / 2)
                    self.W = self.W / np.sum(self.W)

            ####################
            ## Remove from Cache
            ####################
            if self.CacheARC.size() == self.N:
                ################
                ## Choose Policy
                ################
                if not self.learning:
                    act = np.argmax(self.getQ())
                else:
                    act = self.chooseRandom()

                cacheevict, poly, pagefreq = self.updateCacheUsingPolicy(
                    act, page, histpage_freq)

                self.policyUsed[cacheevict] = poly
                self.weightsUsed[cacheevict] = self.getQ()
                self.evictionTime[cacheevict] = self.time

                if not self.learning:
                    self.policyUsed[cacheevict] = -1

                ###################
                ## Evict to history
                ###################
                histevict = None
                if (poly == 0) or (poly == -1 and np.random.rand() < 0.5):
                    if self.Hist1.size() == self.N:
                        histevict = self.Hist1.getIthPage(0)
                        self.Hist1.delete(histevict)
                    assert self.Hist1.add(cacheevict), "Error adding to Hist1."
                    self.Hist1.setCount(cacheevict, pagefreq)
                else:
                    if self.Hist2.size() == self.N:
                        histevict = self.Hist2.getIthPage(0)
                        self.Hist2.delete(histevict)
                    self.Hist2.add(cacheevict)
                    self.Hist2.setCount(cacheevict, pagefreq)

                if histevict is not None:
                    del self.evictionTime[histevict]
                    del self.policyUsed[histevict]
                    del self.weightsUsed[histevict]

                ## Delete page from Cache

            else:
                self.addToCache(page, pagefreq=histpage_freq)

            page_fault = True

        return page_fault

    def get_list_labels(self):
        return ['L']