Python/boolean_algebra/quine_mc_cluskey.py

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from __future__ import annotations
from collections.abc import Sequence
def compare_string(string1: str, string2: str) -> str:
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"""
>>> compare_string('0010','0110')
'0_10'
>>> compare_string('0110','1101')
'X'
"""
list1 = list(string1)
list2 = list(string2)
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count = 0
for i in range(len(list1)):
if list1[i] != list2[i]:
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count += 1
list1[i] = "_"
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if count > 1:
return "X"
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else:
return "".join(list1)
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def check(binary: list[str]) -> list[str]:
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"""
>>> check(['0.00.01.5'])
['0.00.01.5']
"""
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pi = []
while True:
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check1 = ["$"] * len(binary)
temp = []
for i in range(len(binary)):
for j in range(i + 1, len(binary)):
k = compare_string(binary[i], binary[j])
if k != "X":
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check1[i] = "*"
check1[j] = "*"
temp.append(k)
for i in range(len(binary)):
if check1[i] == "$":
pi.append(binary[i])
if len(temp) == 0:
return pi
binary = list(set(temp))
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def decimal_to_binary(no_of_variable: int, minterms: Sequence[float]) -> list[str]:
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"""
>>> decimal_to_binary(3,[1.5])
['0.00.01.5']
"""
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temp = []
for minterm in minterms:
string = ""
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for i in range(no_of_variable):
string = str(minterm % 2) + string
minterm //= 2
temp.append(string)
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return temp
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def is_for_table(string1: str, string2: str, count: int) -> bool:
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"""
>>> is_for_table('__1','011',2)
True
>>> is_for_table('01_','001',1)
False
"""
list1 = list(string1)
list2 = list(string2)
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count_n = 0
for i in range(len(list1)):
if list1[i] != list2[i]:
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count_n += 1
return count_n == count
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def selection(chart: list[list[int]], prime_implicants: list[str]) -> list[str]:
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"""
>>> selection([[1]],['0.00.01.5'])
['0.00.01.5']
>>> selection([[1]],['0.00.01.5'])
['0.00.01.5']
"""
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temp = []
select = [0] * len(chart)
for i in range(len(chart[0])):
count = 0
rem = -1
for j in range(len(chart)):
if chart[j][i] == 1:
count += 1
rem = j
if count == 1:
select[rem] = 1
for i in range(len(select)):
if select[i] == 1:
for j in range(len(chart[0])):
if chart[i][j] == 1:
for k in range(len(chart)):
chart[k][j] = 0
temp.append(prime_implicants[i])
while True:
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max_n = 0
rem = -1
count_n = 0
for i in range(len(chart)):
count_n = chart[i].count(1)
if count_n > max_n:
max_n = count_n
rem = i
if max_n == 0:
return temp
temp.append(prime_implicants[rem])
for i in range(len(chart[0])):
if chart[rem][i] == 1:
for j in range(len(chart)):
chart[j][i] = 0
def prime_implicant_chart(
prime_implicants: list[str], binary: list[str]
) -> list[list[int]]:
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"""
>>> prime_implicant_chart(['0.00.01.5'],['0.00.01.5'])
[[1]]
"""
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chart = [[0 for x in range(len(binary))] for x in range(len(prime_implicants))]
for i in range(len(prime_implicants)):
count = prime_implicants[i].count("_")
for j in range(len(binary)):
if is_for_table(prime_implicants[i], binary[j], count):
chart[i][j] = 1
return chart
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def main() -> None:
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no_of_variable = int(input("Enter the no. of variables\n"))
minterms = [
float(x)
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for x in input(
"Enter the decimal representation of Minterms 'Spaces Separated'\n"
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).split()
]
binary = decimal_to_binary(no_of_variable, minterms)
prime_implicants = check(binary)
print("Prime Implicants are:")
print(prime_implicants)
chart = prime_implicant_chart(prime_implicants, binary)
essential_prime_implicants = selection(chart, prime_implicants)
print("Essential Prime Implicants are:")
print(essential_prime_implicants)
if __name__ == "__main__":
import doctest
doctest.testmod()
main()