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hash_map_oa.py
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hash_map_oa.py
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# Name: Miguel Angel Bruni Montero
# OSU Email: [email protected]
# Course: CS261 - Data Structures
# Assignment: Assignment 6. Hash Map Implementation
# Due Date: March 17th 2023
# Description: Exercise related to implementing a Hash Map
# and the methods needed to work with it using open addresing
# with quadratic probing for collision resolution.
from a6_include import (DynamicArray, DynamicArrayException, HashEntry,
hash_function_1, hash_function_2)
class HashMap:
def __init__(self, capacity: int, function) -> None:
"""
Initialize new HashMap that uses
quadratic probing for collision resolution
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
self._buckets = DynamicArray()
# capacity must be a prime number
self._capacity = self._next_prime(capacity)
for _ in range(self._capacity):
self._buckets.append(None)
self._hash_function = function
self._size = 0
def __str__(self) -> str:
"""
Override string method to provide more readable output
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
out = ''
for i in range(self._buckets.length()):
out += str(i) + ': ' + str(self._buckets[i]) + '\n'
return out
def _next_prime(self, capacity: int) -> int:
"""
Increment from given number to find the closest prime number
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
if capacity % 2 == 0:
capacity += 1
while not self._is_prime(capacity):
capacity += 2
return capacity
@staticmethod
def _is_prime(capacity: int) -> bool:
"""
Determine if given integer is a prime number and return boolean
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
if capacity == 2 or capacity == 3:
return True
if capacity == 1 or capacity % 2 == 0:
return False
factor = 3
while factor ** 2 <= capacity:
if capacity % factor == 0:
return False
factor += 2
return True
def get_size(self) -> int:
"""
Return size of map
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
return self._size
def get_capacity(self) -> int:
"""
Return capacity of map
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
return self._capacity
# ------------------------------------------------------------------ #
def put(self, key: str, value: object) -> None:
'''
Updates the key/value pair in the hash map. If the key is
already in the hash map, updates its value. If not, it adds
a new key/value pair.
:param key: key to be inserted or updated.
:param value: value to be associated with the key.
'''
# Resizes the hash map if the table load is 0.5 or higher.
if self.table_load() >= 0.5:
new_capacity = self._next_prime(self._capacity * 2)
self.resize_table(new_capacity)
# Calculates initial index using the hash function.
hash = self._hash_function(key)
index = hash % self._capacity
new_index = index
quadratic_factor = 1
data_at_index = self._buckets.get_at_index(index)
# Iterates though the buckets in the hash map looking for
# an empty bucket. If initial bucket is not empty, uses
# quadratic probing for finding a new index.
while data_at_index is not None:
# If key is already in the hash map, updates its value.
if data_at_index.key == key and data_at_index.is_tombstone == False:
data_at_index.value = value
return
# If key is in the hash map but it is a tombstone,
# updates value and size and changes the flag to False.
elif data_at_index.key == key and data_at_index.is_tombstone == True:
data_at_index.value = value
data_at_index.is_tombstone = False
self._size += 1
return
# Uses quadratic probing for finding next empty bucket.
else:
new_index = (index + quadratic_factor**2) % self._capacity
quadratic_factor += 1
data_at_index = self._buckets.get_at_index(new_index)
# Inserts new hash entry in the empty bucket and updates
# the hash map size.
self._buckets.set_at_index(new_index, HashEntry(key, value))
self._size += 1
def table_load(self) -> float:
'''
Returns the load factor of the hash map.
:return: a float representing the load factor.
'''
load_factor = float(self._size / self._capacity)
return load_factor
def empty_buckets(self) -> int:
'''
Returns the number of empty buckets in the hash table.
:return: an integer representing number of empty buckets.
'''
count = 0
# Looks for buckets that are empty or have a tombstone.
for number in range(self._buckets.length()):
if self._buckets.get_at_index(number) == None or self._buckets.get_at_index(number).is_tombstone == True:
count += 1
return count
def resize_table(self, new_capacity: int) -> None:
'''
Changes the capacity of the internal hash table. Key/value
pairs are maintained but hash table links are rehashed.
:param new_capacity: new capacity for the hash map.
'''
if new_capacity < self._size:
return
if not self._is_prime(new_capacity):
new_capacity = self._next_prime(new_capacity)
# Initializes a variable to store original buckets, changes
# the capacity to the new one and clears the hash map.
temp_buckets = self._buckets
self._capacity = new_capacity
self.clear()
# Iterates through the buckets in the old hash map and puts
# them in the new one (this rehashes all hash table links).
for number in range(temp_buckets.length()):
if temp_buckets.get_at_index(number) and temp_buckets.get_at_index(number).is_tombstone == False:
self.put(temp_buckets.get_at_index(number).key, temp_buckets.get_at_index(number).value)
def get(self, key: str) -> object:
'''
Returns the value associated with the key if it exists
on the hash map.
:param key: key for the value we are searching for.
'''
# Calculates the initial index for the key we are looking
# for using the hash function.
hash = self._hash_function(key)
index = hash % self._capacity
new_index = index
quadratic_factor = 1
data_at_index = self._buckets.get_at_index(index)
# Looks for the key in the hash map, if found returns the
# value, else None.
while data_at_index is not None:
# If the key is found and it is not a tombstone, returns
# the value.
if data_at_index.key == key and data_at_index.is_tombstone == False:
return data_at_index.value
# If the key is found and it is a tombstone, returns None.
elif data_at_index.key == key and data_at_index.is_tombstone == True:
return None
# If not found, continues looking using the quadratic
# probing until it founds an empty bucket.
else:
new_index = (index + quadratic_factor**2) % self._capacity
quadratic_factor += 1
data_at_index = self._buckets.get_at_index(new_index)
# If the while loop arrives at an empty bucket, returns None.
return None
def contains_key(self, key: str) -> bool:
'''
Looks for the presence of the key in the hash map.
:param key: key to look for in the hash map.
:return: True if the key is found
False otherwise.
'''
# Hash map is empty.
if self._size == 0:
return False
# Calculates the initial index for the key we are looking
# for using the hash function.
hash = self._hash_function(key)
index = hash % self._capacity
new_index = index
quadratic_factor = 1
data_at_index = self._buckets.get_at_index(index)
# Looks for the key in the hash map.
while data_at_index is not None:
# If the key is found and it is not a tombstone, returns
# True.
if data_at_index.key == key and data_at_index.is_tombstone == False:
return True
# If the key is found and it is a tombstone, returns False.
elif data_at_index.key == key and data_at_index.is_tombstone == True:
return False
# If not found, continues looking using the quadratic
# probing until it founds an empty bucket.
else:
new_index = (index + quadratic_factor**2) % self._capacity
quadratic_factor += 1
data_at_index = self._buckets.get_at_index(new_index)
return False
def remove(self, key: str) -> None:
'''
Removes the given key and its value from the hash map.
:param key: key to remove from the hash map.
'''
# Calculates the initial index for the key we are looking
# for using the hash function.
hash = self._hash_function(key)
index = hash % self._capacity
new_index = index
quadratic_factor = 1
data_at_index = self._buckets.get_at_index(index)
# Looks for the key in the hash map using the quadratic
# probing.
while data_at_index and data_at_index.key != key:
new_index = (index + quadratic_factor**2) % self._capacity
quadratic_factor += 1
data_at_index = self._buckets.get_at_index(new_index)
# If the bucket with the key is found, sets the tombstone
# value as True and updates size.
if data_at_index and data_at_index.is_tombstone == False:
data_at_index.is_tombstone = True
self._size -= 1
def clear(self) -> None:
'''
Clears the contents of the hash map while maintaining
the current capacity.
'''
# Creates a new empty array with as many buckets as capacity.
self._buckets = DynamicArray()
for _ in range(self._capacity):
self._buckets.append(None)
self._size = 0
def get_keys_and_values(self) -> DynamicArray:
'''
Returns an array containing tuples of all key/value pairs
stored in the hash map.
:return: a dynamic array with tuples of key/value pairs.
'''
# Initializes the new array and the variable to keep track
# of the position in it.
array = DynamicArray()
array_index = 0
# Iterates through the buckets of the hash map.
for number in range(self._buckets.length()):
data_at_index = self._buckets.get_at_index(number)
# If there is an entry in the bucket and does not have
# a tombstone, adds the key/value pair to our array.
if data_at_index and data_at_index.is_tombstone == False:
array.append((data_at_index.key, data_at_index.value))
array_index += 1
return array
def __iter__(self):
'''
Returns the iterator.
'''
self._index = 0
return self
def __next__(self):
'''
Return next hash entry and advances the iterator.
'''
try:
hash_entry = self._buckets.get_at_index(self._index)
while hash_entry is None or hash_entry.is_tombstone == True:
self._index += 1
hash_entry = self._buckets.get_at_index(self._index)
self._index += 1
return hash_entry
except DynamicArrayException:
raise StopIteration
# ------------------- BASIC TESTING ---------------------------------------- #
if __name__ == "__main__":
print("\nPDF - put example 1")
print("-------------------")
m = HashMap(53, hash_function_1)
for i in range(150):
m.put('str' + str(i), i * 100)
if i % 25 == 24:
print(m.empty_buckets(), round(m.table_load(), 2), m.get_size(), m.get_capacity())
print("\nPDF - put example 2")
print("-------------------")
m = HashMap(41, hash_function_2)
for i in range(50):
m.put('str' + str(i // 3), i * 100)
if i % 10 == 9:
print(m.empty_buckets(), round(m.table_load(), 2), m.get_size(), m.get_capacity())
print("\nPDF - table_load example 1")
print("--------------------------")
m = HashMap(101, hash_function_1)
print(round(m.table_load(), 2))
m.put('key1', 10)
print(round(m.table_load(), 2))
m.put('key2', 20)
print(round(m.table_load(), 2))
m.put('key1', 30)
print(round(m.table_load(), 2))
print("\nPDF - table_load example 2")
print("--------------------------")
m = HashMap(53, hash_function_1)
for i in range(50):
m.put('key' + str(i), i * 100)
if i % 10 == 0:
print(round(m.table_load(), 2), m.get_size(), m.get_capacity())
print("\nPDF - empty_buckets example 1")
print("-----------------------------")
m = HashMap(101, hash_function_1)
print(m.empty_buckets(), m.get_size(), m.get_capacity())
m.put('key1', 10)
print(m.empty_buckets(), m.get_size(), m.get_capacity())
m.put('key2', 20)
print(m.empty_buckets(), m.get_size(), m.get_capacity())
m.put('key1', 30)
print(m.empty_buckets(), m.get_size(), m.get_capacity())
m.put('key4', 40)
print(m.empty_buckets(), m.get_size(), m.get_capacity())
print("\nPDF - empty_buckets example 2")
print("-----------------------------")
m = HashMap(53, hash_function_1)
for i in range(150):
m.put('key' + str(i), i * 100)
if i % 30 == 0:
print(m.empty_buckets(), m.get_size(), m.get_capacity())
print("\nPDF - resize example 1")
print("----------------------")
m = HashMap(23, hash_function_1)
m.put('key1', 10)
print(m.get_size(), m.get_capacity(), m.get('key1'), m.contains_key('key1'))
m.resize_table(30)
print(m.get_size(), m.get_capacity(), m.get('key1'), m.contains_key('key1'))
print("\nPDF - resize example 2")
print("----------------------")
m = HashMap(79, hash_function_2)
keys = [i for i in range(1, 1000, 13)]
for key in keys:
m.put(str(key), key * 42)
print(m.get_size(), m.get_capacity())
for capacity in range(111, 1000, 117):
m.resize_table(capacity)
if m.table_load() > 0.5:
print(f"Check that the load factor is acceptable after the call to resize_table().\n"
f"Your load factor is {round(m.table_load(), 2)} and should be less than or equal to 0.5")
m.put('some key', 'some value')
result = m.contains_key('some key')
m.remove('some key')
for key in keys:
# all inserted keys must be present
result &= m.contains_key(str(key))
# NOT inserted keys must be absent
result &= not m.contains_key(str(key + 1))
print(capacity, result, m.get_size(), m.get_capacity(), round(m.table_load(), 2))
print("\nPDF - get example 1")
print("-------------------")
m = HashMap(31, hash_function_1)
print(m.get('key'))
m.put('key1', 10)
print(m.get('key1'))
print("\nPDF - get example 2")
print("-------------------")
m = HashMap(151, hash_function_2)
for i in range(200, 300, 7):
m.put(str(i), i * 10)
print(m.get_size(), m.get_capacity())
for i in range(200, 300, 21):
print(i, m.get(str(i)), m.get(str(i)) == i * 10)
print(i + 1, m.get(str(i + 1)), m.get(str(i + 1)) == (i + 1) * 10)
print("\nPDF - contains_key example 1")
print("----------------------------")
m = HashMap(11, hash_function_1)
print(m.contains_key('key1'))
m.put('key1', 10)
m.put('key2', 20)
m.put('key3', 30)
print(m.contains_key('key1'))
print(m.contains_key('key4'))
print(m.contains_key('key2'))
print(m.contains_key('key3'))
m.remove('key3')
print(m.contains_key('key3'))
print("\nPDF - contains_key example 2")
print("----------------------------")
m = HashMap(79, hash_function_2)
keys = [i for i in range(1, 1000, 20)]
for key in keys:
m.put(str(key), key * 42)
print(m.get_size(), m.get_capacity())
result = True
for key in keys:
# all inserted keys must be present
result &= m.contains_key(str(key))
# NOT inserted keys must be absent
result &= not m.contains_key(str(key + 1))
print(result)
print("\nPDF - remove example 1")
print("----------------------")
m = HashMap(53, hash_function_1)
print(m.get('key1'))
m.put('key1', 10)
print(m.get('key1'))
m.remove('key1')
print(m.get('key1'))
m.remove('key4')
print("\nPDF - clear example 1")
print("---------------------")
m = HashMap(101, hash_function_1)
print(m.get_size(), m.get_capacity())
m.put('key1', 10)
m.put('key2', 20)
m.put('key1', 30)
print(m.get_size(), m.get_capacity())
m.clear()
print(m.get_size(), m.get_capacity())
print("\nPDF - clear example 2")
print("---------------------")
m = HashMap(53, hash_function_1)
print(m.get_size(), m.get_capacity())
m.put('key1', 10)
print(m.get_size(), m.get_capacity())
m.put('key2', 20)
print(m.get_size(), m.get_capacity())
m.resize_table(100)
print(m.get_size(), m.get_capacity())
m.clear()
print(m.get_size(), m.get_capacity())
print("\nPDF - get_keys_and_values example 1")
print("------------------------")
m = HashMap(11, hash_function_2)
for i in range(1, 6):
m.put(str(i), str(i * 10))
print(m.get_keys_and_values())
m.resize_table(2)
print(m.get_keys_and_values())
m.put('20', '200')
m.remove('1')
m.resize_table(12)
print(m.get_keys_and_values())
print("\nPDF - __iter__(), __next__() example 1")
print("---------------------")
m = HashMap(10, hash_function_1)
for i in range(5):
m.put(str(i), str(i * 10))
print(m)
for item in m:
print('K:', item.key, 'V:', item.value)
print("\nPDF - __iter__(), __next__() example 2")
print("---------------------")
m = HashMap(10, hash_function_2)
for i in range(5):
m.put(str(i), str(i * 24))
m.remove('0')
m.remove('4')
print(m)
for item in m:
print('K:', item.key, 'V:', item.value)