Python/boolean_algebra/quine_mc_cluskey.py at refs/heads/master · TheAlgorithms/Python · GitHub

Name: Python/boolean_algebra/quine_mc_cluskey.py at refs/heads/master · TheAlgorithms/Python · GitHub
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from __future__ importannotations

fromcollections.abcimportSequence
fromtypingimportLiteral


defcompare_string(string1: str, string2: str) ->str|Literal[False]:
"""
 >>> compare_string('0010','0110')
 '0_10'

 >>> compare_string('0110','1101')
 False
 """
list1=list(string1)
list2=list(string2)
count=0
foriinrange(len(list1)):
iflist1[i] !=list2[i]:
count+=1
list1[i] ="_"
ifcount>1:
returnFalse
else:
return"".join(list1)


defcheck(binary: list[str]) ->list[str]:
"""
 >>> check(['0.00.01.5'])
 ['0.00.01.5']
 """
pi= []
whileTrue:
check1= ["$"] *len(binary)
temp= []
foriinrange(len(binary)):
forjinrange(i+1, len(binary)):
k=compare_string(binary[i], binary[j])
ifkisFalse:
check1[i] ="*"
check1[j] ="*"
temp.append("X")
foriinrange(len(binary)):
ifcheck1[i] =="$":
pi.append(binary[i])
iflen(temp) ==0:
returnpi
binary=list(set(temp))


defdecimal_to_binary(no_of_variable: int, minterms: Sequence[float]) ->list[str]:
"""
 >>> decimal_to_binary(3,[1.5])
 ['0.00.01.5']
 """
temp= []
forminterminminterms:
string=""
for_inrange(no_of_variable):
string=str(minterm%2) +string
minterm//=2
temp.append(string)
returntemp


defis_for_table(string1: str, string2: str, count: int) ->bool:
"""
 >>> is_for_table('__1','011',2)
 True

 >>> is_for_table('01_','001',1)
 False
 """
list1=list(string1)
list2=list(string2)
count_n=sum(item1!=item2foritem1, item2inzip(list1, list2))
returncount_n==count


defselection(chart: list[list[int]], prime_implicants: list[str]) ->list[str]:
"""
 >>> selection([[1]],['0.00.01.5'])
 ['0.00.01.5']

 >>> selection([[1]],['0.00.01.5'])
 ['0.00.01.5']
 """
temp= []
select= [0] *len(chart)
foriinrange(len(chart[0])):
count=sum(row[i] ==1forrowinchart)
ifcount==1:
rem=max(jforj, rowinenumerate(chart) ifrow[i] ==1)
select[rem] =1
fori, iteminenumerate(select):
ifitem!=1:
continue
forjinrange(len(chart[0])):
ifchart[i][j] !=1:
continue
forrowinchart:
row[j] =0
temp.append(prime_implicants[i])
whileTrue:
counts= [chart[i].count(1) foriinrange(len(chart))]
max_n=max(counts)
rem=counts.index(max_n)

ifmax_n==0:
returntemp

temp.append(prime_implicants[rem])

forjinrange(len(chart[0])):
ifchart[rem][j] !=1:
continue
foriinrange(len(chart)):
chart[i][j] =0


defprime_implicant_chart(
prime_implicants: list[str], binary: list[str]
) ->list[list[int]]:
"""
 >>> prime_implicant_chart(['0.00.01.5'],['0.00.01.5'])
 [[1]]
 """
chart= [[0forxinrange(len(binary))] forxinrange(len(prime_implicants))]
foriinrange(len(prime_implicants)):
count=prime_implicants[i].count("_")
forjinrange(len(binary)):
ifis_for_table(prime_implicants[i], binary[j], count):
chart[i][j] =1

returnchart


defmain() ->None:
no_of_variable=int(input("Enter the no. of variables\n"))
minterms= [
float(x)
forxininput(
"Enter the decimal representation of Minterms 'Spaces Separated'\n"
 ).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__":
importdoctest

doctest.testmod()
main()