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BCD_calculator.py
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400 lines (356 loc) · 12.3 KB
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"""
Computer Science Fundamentals Assignment Documentation
Created by: Hajnalka Horváth
Neptun code: XXNVW8
Date: 2022.10.01.-2022.11.30.
Input file: input.txt
Output file: output.txt
"""
# Reading the file---------------------------------------------------------------------
file = open("input.txt", "r")
exercise=[]
for line in file:
for character in line:
exercise.append(character)
file.close()
number1=[]
i=0
invalid = False
while not invalid and exercise[i]!='\n' and i!= len(exercise)-1:
if not invalid and (exercise[i] == '0' or exercise[i] == '1' or exercise[i] == '2' or exercise[i] == '3' or exercise[i] == '4' or exercise[i] == '5' or exercise[i] == '6' or exercise[i] == '7' or exercise[i] == '8' or exercise[i] == '9'):
number1.append(int(exercise[i]))
i+=1
elif exercise[i]!='\n':
invalid = False
i += 1
else:
invalid = True
if i!= len(exercise)-1 and not invalid and(exercise[i+1] == '+' or exercise[i+1] == '-' or exercise[i+1] == '*' or exercise[i+1] == '/' ):
sign=exercise[i+1]
else:
invalid = True
number2=[]
i += 3
while not invalid and i!= len(exercise):
if not invalid and (exercise[i] == '0' or exercise[i] == '1' or exercise[i] == '2' or exercise[i] == '3' or exercise[i] == '4' or exercise[i] == '5' or exercise[i] == '6' or exercise[i] == '7' or exercise[i] == '8' or exercise[i] == '9'):
number2.append(int(exercise[i]))
i+= 1
elif exercise[i]!='\n':
invalid = False
i += 1
else:
invalid = True
if sign == "/" and number2 == [0]:
invalid = True
# Reading ends-------------------------------------------------------------------------
# Function declarations---------------------------------------------------------------
# Conversion---------------------------------------------------
def decimaltobcd(decnumber):
number = decnumber
number_bcd=[]
bcd=[]
i=0
endofnumber = False
while i != len(number):
#print(number)
while not endofnumber:
bcd.insert(0,number[i] % 2)
number[i]= number[i] // 2
if number[i] == 0:
endofnumber = True
#print(decnumber)
while len(bcd) < 4:
bcd.insert(0,0)
#print(number)
number_bcd.append(bcd)
endofnumber = False
bcd =[]
i+=1
#print(decnumber)
return number_bcd
#number1_bcd=decimaltobcd(number1)
#number2_bcd=decimaltobcd(number2)
#print("szam1=", number1)
# Conversion: BCD to Decimal
def bcdtodecimal(bcdnumber):
if type(bcdnumber) != int and type(bcdnumber[0]) == list:
i=0
j=0
decimal = 0
decimalnumber=[]
while j<len(bcdnumber):
while i < 4:
decimal = decimal + (bcdnumber[j][i] * (2**(3-i)))
i+= 1
decimalnumber.append(decimal)
j+=1
i=0
decimal = 0
elif type(bcdnumber) == int:
i=0
decimal=0
while i < 4:
decimal= decimal + (bcdnumber * (2**(3-i)))
i+= 1
decimalnumber = decimal
#print(decimalnumber)
else:
i=0
decimal=0
#decimalnumber = []
while i < 4:
decimal= decimal + (bcdnumber[i] * (2**(3-i)))
i+= 1
#decimalnumber.append(decimal)
decimalnumber = decimal
#print(decimalnumber)
return decimalnumber
# print(bcdtodecimal(number1_bcd[0]))
# Conversion: Decimal to Integer
def dectoint(dec):
i = len(dec)-1
pos= 1
intnumber = 0
#print(dec)
while i >= 0:
intnumber += dec[i]*pos
i -= 1
pos *= 10
return intnumber
def inttohexadecimal(integer):
hexa = ['0', 'x']
while integer != 0:
hexa.insert(2, integer%16)
integer //= 16
i = 0
while i < len(hexa):
if type(hexa[i])== int and hexa[i] >= 10:
if hexa[i] == 10:
hexa[i] = 'A'
elif hexa[i] == 11:
hexa[i] = 'B'
elif hexa[i] == 12:
hexa[i] = 'C'
elif hexa[i] == 13:
hexa[i] = 'D'
elif hexa[i] == 14:
hexa[i] = 'E'
elif hexa[i] == 15:
hexa[i] = 'F'
else:
hexa[i] = str(hexa[i])
i+= 1
return hexa
# Conversion ends-----------------------------------------------------
# Operations-----------------------------------------------------------
# Addition---------------------------------------------------------
def addition(bcd1, bcd2):
while len(bcd1) != len(bcd2):
if len(bcd1) < len(bcd2):
bcd1.insert(0,[0,0,0,0])
elif len(bcd1) > len(bcd2):
bcd2.insert(0,[0,0,0,0])
#print(bcd1, sign,bcd2 )
sum=[]
partial_result= [0,0,0,0]
bcdidx=len(bcd1)-1
bitidx = 3
carry = 0
while bcdidx >= 0:
while bitidx >= 0:
# exceptions = 9+9, 8+8, 7+9
if bcd1[bcdidx]== [1,0,0,0] and bcd2[bcdidx] == [1,0,0,0] or bcd1[bcdidx]== [1,0,0,1] and bcd2[bcdidx] == [0,1,1,1] or bcd1[bcdidx]== [0,1,1,1] and bcd2[bcdidx] == [1,0,0,1]:
if carry == 0:
partial_result = [0,1,1,0]
elif carry == 1:
partial_result = [0,1,1,1]
carry = 1
bitidx = -1
elif bcd1[bcdidx]== [1,0,0,1] and bcd2[bcdidx] == [1,0,0,1]:
if carry == 0:
partial_result = [1,0,0,0]
elif carry == 1:
partial_result = [1,0,0,1]
carry = 1
bitidx = -1
elif bcd1[bcdidx]== [1,0,0,1] and bcd2[bcdidx] == [1,0,0,0] or bcd1[bcdidx]== [1,0,0,0] and bcd2[bcdidx] == [1,0,0,1]:
if carry == 0:
partial_result = [0,1,1,1]
elif carry == 1:
partial_result = [1,0,0,0]
carry = 1
bitidx = -1
#hagyományos bcd összeadás
else:
if (bcd1[bcdidx][bitidx] == 1 and bcd2[bcdidx][bitidx] == 0) or (bcd1[bcdidx][bitidx] == 0 and bcd2[bcdidx][bitidx] == 1):
if carry == 0:
partial_result[bitidx]= 1
elif carry == 1:
partial_result[bitidx]= 0
elif bcd1[bcdidx][bitidx] == 1 and bcd2[bcdidx][bitidx] == 1:
if carry == 0:
partial_result[bitidx]= 0
carry = 1
elif carry == 1:
partial_result[bitidx]= 1
elif bcd1[bcdidx][bitidx] == 0 and bcd2[bcdidx][bitidx] == 0:
if carry == 0:
partial_result[bitidx]= 0
elif carry == 1:
partial_result[bitidx]= 1
carry = 0
bitidx -= 1
sum.insert(0,partial_result)
partial_result= [0,0,0,0]
bitidx = 3
bcdidx -= 1
if carry == 1:
sum.insert(0, [0,0,0,1])
#print("javitas nelkul:" ,result)
return sum
# Correction
def correction(res):
i= 0
end = 0
while end < len(res):
while i < len(res):
#print(res[i])
if bcdtodecimal(res[i]) > 9:
correct = addition([res[i]], [[0,1,1,0]])
#print("correct=", correct)
if len(correct) == 2:
if i != 0:
corresult = addition([correct[0]], [res[i-1]])
res[i-1] = corresult[0]
res[i]= correct[1]
#print("correct1 =", correct[1])
else:
#print("correct1 =", correct[1])
res.insert(0, correct[0] )
res[1] = correct[1]
else:
res[i]= correct[0]
i += 1
#print("javit:",res)
i = 0
end = 0
j = 0
while j < len(res):
if (bcdtodecimal(res[j])) <= 9:
end += 1
j += 1
return res
# Addition ends-----------------------------------------------------
# Subtraction------------------------------------------------------
def subtraction(minuend,subtrahend):
if minuend == subtrahend:
difference = [[0,0,0,0]]
else:
if bcdtodecimal(minuend) < bcdtodecimal(subtrahend):
swap = minuend
minuend = subtrahend
subtrahend = swap
compliment9 = []
i = 0
while i < len(subtrahend):
originaldec = bcdtodecimal(subtrahend[i])
compldec = 9 - originaldec
complbcd = decimaltobcd([compldec])
compliment9.append(complbcd[0])
i += 1
#print(bcd2)
#print(compliment9)
#korrekció
subtractresult = correction(addition(minuend,compliment9))
#print(bcdtodecimal(subtractresult))
difference = correction(addition(subtractresult,[subtractresult[0]]))
difference.pop(0)
return difference
# Subtraction ends-------------------------------------------------
# Multiplication---------------------------------------------------
def multiplication(multiplicand, multiplier):
intmultiplier = dectoint(bcdtodecimal(multiplier))
product = [[0,0,0,0]]
while intmultiplier > 0:
product = correction(addition(product, multiplicand))
#print(bcdtodecimal(product))
intmultiplier -= 1
return product
# Multiplication ends-----------------------------------------------
# Division----------------------------------------------------------
def division(dividend,divisor):
quotient = 0
if not number1smaller:
while dectoint(bcdtodecimal(dividend)) >= dectoint(bcdtodecimal(divisor)):
#print(dectoint(bcdtodecimal(dividend)), dectoint(bcdtodecimal(divisor)))
dividend = subtraction(dividend,divisor)
#print(dectoint(bcdtodecimal(dividend)))
quotient += 1
#print(quotient)
return quotient
# Division ends-----------------------------------------------------
# Function declarations end---------------------------------------------------------
# Task-------------------------------------------------------------------------------
f = open("output.txt", "w")
if invalid:
f.write("Invalid input ! ! !")
else:
hexa1 = inttohexadecimal(dectoint(number1))
hexa2 = inttohexadecimal(dectoint(number2))
# Writing the operation details
f.write(str(dectoint(number1)))
f.write(" (")
for element in hexa1:
f.write(element)
f.write(")\n")
f.write(sign)
f.write("\n")
f.write(str(dectoint(number2)))
f.write(" (")
for element in hexa2:
f.write(element)
f.write(")")
# Conversion
number1_bcd=decimaltobcd(number1)
number2_bcd=decimaltobcd(number2)
# Helper:
# Filling with zeros
while len(number1_bcd) != len(number2_bcd):
if len(number1_bcd) < len(number2_bcd):
number1_bcd.insert(0,[0,0,0,0])
elif len(number1_bcd) > len(number2_bcd):
number2_bcd.insert(0,[0,0,0,0])
#print("bcdben:",number1_bcd, ",", number2_bcd)
# Which is smaller
number1smaller = False
#print("smaller= ",dectoint(bcdtodecimal(number1_bcd)), dectoint(bcdtodecimal(number2_bcd))
if dectoint(bcdtodecimal(number1_bcd)) < dectoint(bcdtodecimal(number2_bcd)):
number1smaller = True
#print(number1smaller)
# Operation
if sign == '+':
result = correction(addition(number1_bcd, number2_bcd))
elif sign == '-':
result= subtraction(number1_bcd,number2_bcd)
elif sign == '*':
result = multiplication(number1_bcd, number2_bcd)
elif sign == '/':
decimalresult = division(number1_bcd, number2_bcd)
if sign != "/":
decimalresult = dectoint(bcdtodecimal(result))
hexaresult = inttohexadecimal(decimalresult)
if number1smaller and sign == '-':
f.write("\n=\n-")
f.write(str(decimalresult))
f.write(" (")
for element in hexaresult:
f.write(element)
f.write(")")
else:
f.write("\n=\n")
f.write(str(decimalresult))
f.write(" (")
for element in hexaresult:
f.write(element)
f.write(")")
f.close()