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I want o create a calculator that can add (and multiply, divide, etc) numbers in base 12 and with different limits at the different digits.
Base 12 sequence: [0,1,2,3,4,5,6,7,8,9,"A","B"]
The limits must be:
First digit: limit "B"
Second digit: limit 4
Third digit: limit "B"
(The idea would be that it follows the hourly System limits but in base 12 so for example in base 12 there are 50 seconds in a minute)
That means you would count like this:[1,2,3,4,5,6,7,8,9,A,B,10,11,...48,49,4A,4B,100,101,...14B,200,201,...B4B,1000,1001..]
So I made the following code
import string
digs = string.digits + string.ascii_uppercase
def converter(number):
#split number in figures
figures = [int(i,12) for i in str(number)]
#invert oder of figures (lowest count first)
figures = figures[::-1]
result = 0
#loop over all figures
for i in range(len(figures)):
#add the contirbution of the i-th figure
result += figures[i]*12**i
return result
def int2base(x):
if x < 0:
sign = -1
elif x == 0:
return digs[0]
else:sign = 1
x *= sign
digits = []
while x:
digits.append(digs[int(x % 12)])
x = int(x / 12)
if sign < 0:
digits.append('-')
digits.reverse()
return ''.join(digits)
def calculator (entry1, operation, entry2):
value1=float(converter(entry1))
value2=float(converter(entry2))
if operation == "suma" or "+":
resultvalue=value1+value2
else:
print("operación no encontrada, porfavor ingrese +,-,")
result=int2base(resultvalue)
return result
print(calculator(input("Ingrese primer valor"), input("ingrese operación"), input("Ingrese segundo valor")))
The thing is that I dont know how to establish the limits to the different digits
If someone could help me I would be extreamly greatful
解决方案
You can define two converters:
class Base12Convert:
d = {hex(te)[2:].upper():te for te in range(0,12)}
d.update({val:key for key,val in d.items()})
d["-"] = "-"
@staticmethod
def text_to_int(text):
"""Converts a base-12 text into an int."""
if not isinstance(text,str):
raise ValueError(
f"Only strings allowed: '{text}' of type '{type(text)}' is invalid")
t = text.strip().upper()
if any (x not in Base12Convert.d for x in t):
raise ValueError(
f"Only [-0123456789abAB] allowed in string: '{t}' is invalid")
if "-" in t.lstrip("-"):
raise ValueError(f"Sign '-' only allowed in front. '{t}' is invalid")
# easy way
return int(t,12)
# self-calculated way
# return sum(Base12Convert.d[num]*12**idx for idx,num in enumerate(t[::-1]))
@staticmethod
def int_to_text(num):
"""Converts an int into a base-12 string."""
sign = ""
if not isinstance(num,int):
raise ValueError(
f"Only integer as input allowed: '{num} of type {type(num)}' is invalid")
if num < 0:
sign = "-"
num *= -1
# get highest possible number
p = 1
while p < num:
p *= 12
# create string
rv = [sign]
while True:
p /= 12
div = num // p
num -= div*p
rv.append(Base12Convert.d[div])
if p == 1:
break
return ''.join(rv)
Then you can use them to convert what you want:
text = "14:54:31" # some time
# convert each int of the time into base12 - join with | again
base12 = '|'.join(Base12Convert.int_to_text (int(t)) for t in text.split(":"))
# split base12 at |, convert to int, make str from int and join with | again
base10 = '|'.join(map(str,(Base12Convert.text_to_int (b12) for b12 in base12.split("|"))))
# print all 3
print(text,base12,base10,sep="\n")
Output:
14:54:31
12|46|27
14|54|31
and enforce whatever restrictions you have on your "digits" using normal ints. You should split up your "digits" of a clock ... 14b (203 in base 10) does not make sense, 1:4b might if you mean 1:59 hours/minutes.
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