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Lecture 6

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hofmannol 5 months ago
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commit
2c98bb546d
2 changed files with 132 additions and 0 deletions
  1. 31
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      SoSe24/lec05_hash/hash_plot.py
  2. 101
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      SoSe24/lec05_hash/hash_table.py

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SoSe24/lec05_hash/hash_plot.py View File

from SoSe24.algodat.foundation import AlgoDatArray, AlgoDatValue, read_int_sequence, read_int_sequence_limited
import matplotlib
import matplotlib.pyplot as plt
import hash_table as ht

if __name__ == "__main__":
filename = "../../seq3.txt"
dummy = read_int_sequence(filename)
n = len(dummy)
step = n // 100

memory_values = []
compare_values = []
alpha_values = []

for right_end in range(1, n, step):
AlgoDatValue.reset()
z = read_int_sequence_limited(filename, right_end)
hash = ht.HashTable(int(right_end*2), hash_function=ht.h, exploratory_function=ht.f1)
for i in z:
hash.insert(i)
memory_values.append(AlgoDatValue.memory)
compare_values.append(AlgoDatValue.compare)
alpha_values.append(hash.alpha())

plt.plot(range(1, n, step), memory_values, 'b', label='Memory')
plt.plot(range(1, n, step), compare_values, 'r', label='Compare')
plt.plot(range(1, n, step), alpha_values, 'g', label='Alpha')

plt.legend()
plt.show()

+ 101
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SoSe24/lec05_hash/hash_table.py View File

from SoSe24.algodat.foundation import AlgoDatArray, AlgoDatValue, read_int_sequence, MinusInf
from time import perf_counter as pfc

#Goldener Schnitt
import math
a = (math.sqrt(5) - 1) / 2
explore_steps = 0

def h(x, m):
return int(x*a - int(x*a) * m)


def f(x, i, m):
return (h(x, m) + i + 14*i*i) % m


def f1(x, i, m):
if i % 2 == 0:
return (h(x, m) + i*i) % m
return ((h(x, m) - i*i) % m + m) % m


class HashTable:
def __init__(self, m, hash_function, exploratory_function=None):
self.m = m
self.h = hash_function
self.f = exploratory_function
self.n = 0
self.table = AlgoDatArray(m)

def insert(self, x):
global explore_steps
i = 0
while i < self.m:
j = self.f(x.value, i, self.m)
if self.is_free(j):
self.table[j].value = x.value
self.n += 1
return True
i += 1
explore_steps += 1
return False

def search(self, x):
global explore_steps
i = 0
while i < self.m:
j = f(x, i, self.m)
if self.table[j] == x:
return True
if self.table[j] == None:
return False
i += 1
explore_steps += 1
return False

def delete(self, x):
global explore_steps
i = 0
while i < self.m:
j = f(x, i, self.m)
if self.table[j].value == x:
self.table[j].value = "DELETED"
self.n -= 1
return True
if self.table[j].value is None:
return False
i += 1
explore_steps += 1
return False

def __str__(self):
return str(self.table)

def alpha(self):
return self.n / self.m

def is_free(self, i):
if self.table[i] == None:
return True
if self.table[i] == "DELETED":
return True
return False


if __name__ == "__main__":
z = read_int_sequence("../../seq1.txt")
start = pfc()
hash = HashTable(31, h, f)
for algodat_value in z:
hash.insert(algodat_value)
print(hash)
print(f"Alpha: {hash.alpha()}")
hash.delete(11)
hash.search(47)
hash.search(243)
print(hash)
print(f"Alpha: {hash.alpha()}")
print(f"Dauer: {pfc() - start:.4f}s")
print(f"Sondierungsschritte: {explore_steps}")
AlgoDatValue.summary()

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