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replacement_algorithms.py
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209 lines (158 loc) · 6.63 KB
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"""
Page Replacement Algorithms
Implements FIFO, LRU, LFU, and Optimal page replacement
"""
from collections import deque
from abc import ABC, abstractmethod
class PageReplacementAlgorithm(ABC):
"""Base class for page replacement algorithms"""
def __init__(self, num_frames):
self.num_frames = num_frames
self.frames = [] # List of page numbers currently in frames
@abstractmethod
def access_page(self, page_number, time, is_write=False):
"""
Access a page and return whether a page fault occurred
Returns: (page_fault, victim_page)
"""
pass
@abstractmethod
def get_victim(self):
"""Select a page to evict"""
pass
def is_page_in_memory(self, page_number):
"""Check if page is already in physical memory"""
return page_number in self.frames
class FIFO(PageReplacementAlgorithm):
"""First-In-First-Out page replacement"""
def __init__(self, num_frames):
super().__init__(num_frames)
self.queue = deque()
def access_page(self, page_number, time, is_write=False):
if self.is_page_in_memory(page_number):
return False, None # No page fault
# Page fault occurred
victim = None
if len(self.frames) >= self.num_frames:
victim = self.get_victim()
self.frames.remove(victim)
self.queue.remove(victim)
self.frames.append(page_number)
self.queue.append(page_number)
return True, victim
def get_victim(self):
"""Remove oldest page (first in queue)"""
return self.queue[0]
class LRU(PageReplacementAlgorithm):
"""Least Recently Used page replacement"""
def __init__(self, num_frames):
super().__init__(num_frames)
self.access_times = {} # page_number -> last_access_time
def access_page(self, page_number, time, is_write=False):
page_fault = not self.is_page_in_memory(page_number)
victim = None
if page_fault:
if len(self.frames) >= self.num_frames:
victim = self.get_victim()
self.frames.remove(victim)
del self.access_times[victim]
self.frames.append(page_number)
# Update access time
self.access_times[page_number] = time
return page_fault, victim
def get_victim(self):
"""Remove least recently used page"""
return min(self.access_times, key=self.access_times.get)
class LFU(PageReplacementAlgorithm):
"""Least Frequently Used page replacement"""
def __init__(self, num_frames):
super().__init__(num_frames)
self.access_counts = {} # page_number -> access_count
self.access_times = {} # For tie-breaking (use LRU)
def access_page(self, page_number, time, is_write=False):
page_fault = not self.is_page_in_memory(page_number)
victim = None
if page_fault:
if len(self.frames) >= self.num_frames:
victim = self.get_victim()
self.frames.remove(victim)
del self.access_counts[victim]
del self.access_times[victim]
self.frames.append(page_number)
self.access_counts[page_number] = 0
# Update access count and time
self.access_counts[page_number] += 1
self.access_times[page_number] = time
return page_fault, victim
def get_victim(self):
"""Remove least frequently used page (LRU for ties)"""
min_count = min(self.access_counts.values())
candidates = [p for p, count in self.access_counts.items() if count == min_count]
if len(candidates) == 1:
return candidates[0]
# Tie-break using LRU
return min(candidates, key=lambda p: self.access_times[p])
class Optimal(PageReplacementAlgorithm):
"""Optimal page replacement (requires future knowledge)"""
def __init__(self, num_frames, reference_string):
super().__init__(num_frames)
self.reference_string = reference_string
self.current_index = 0
def access_page(self, page_number, time, is_write=False):
page_fault = not self.is_page_in_memory(page_number)
victim = None
if page_fault:
if len(self.frames) >= self.num_frames:
victim = self.get_victim()
self.frames.remove(victim)
self.frames.append(page_number)
self.current_index += 1
return page_fault, victim
def get_victim(self):
"""Remove page that won't be used for longest time"""
farthest_use = -1
victim = None
for page in self.frames:
# Find next use of this page
next_use = float('inf')
for i in range(self.current_index, len(self.reference_string)):
if self.reference_string[i] == page:
next_use = i
break
if next_use > farthest_use:
farthest_use = next_use
victim = page
return victim
class Clock(PageReplacementAlgorithm):
"""Clock (Second Chance) page replacement"""
def __init__(self, num_frames):
super().__init__(num_frames)
self.reference_bits = {} # page_number -> reference_bit
self.clock_hand = 0
def access_page(self, page_number, time, is_write=False):
page_fault = not self.is_page_in_memory(page_number)
victim = None
if page_fault:
if len(self.frames) >= self.num_frames:
victim = self.get_victim()
victim_index = self.frames.index(victim)
self.frames[victim_index] = page_number
del self.reference_bits[victim]
else:
self.frames.append(page_number)
# Set reference bit
self.reference_bits[page_number] = 1
return page_fault, victim
def get_victim(self):
"""Use clock algorithm to find victim"""
while True:
page = self.frames[self.clock_hand]
if self.reference_bits[page] == 0:
# Found victim
victim = page
self.clock_hand = (self.clock_hand + 1) % len(self.frames)
return victim
else:
# Give second chance
self.reference_bits[page] = 0
self.clock_hand = (self.clock_hand + 1) % len(self.frames)