Combining numbers together to form multiple digit number - python

I'm trying to combine multiple numbers together in python 3.7 but I'm having no luck.
I want it to be like such:
1 + 4 + 5 = 145
I know this is simple but I'm getting nowhere!

You can use reduce to do this in a mathematical way
>>> l = [1, 4, 5]
>>>
>>> from functools import reduce
>>> reduce(lambda x,y: 10*x+y, l)
145
Alternatively, you can use string concat
>>> int(''.join(map(str, l)))
145

If you want to do this numerically, consider what base-10 numerals means:
145 = 1 * 10**2 + 4 * 10**1 + 5 * 10**0
So, you need to get N numbers that range from N-1 to 0, in lockstep with the digits. One way to do this is with enumerate plus a bit of extra arithmetic:
def add_digits(*digits):
total = 0
for i, digit in enumerate(digits):
total += digit * 10**(len(digits)-i-1)
return total
Now:
>>> add_digits(1, 4, 5)
145
Of course this only works with sequences of digits—where you know how many digits you have in advance. What if you wanted to work with any iterable of digits, even an iterator coming for a generator expression or something? Then you can rethink the problem:
1456 = ((1 * 10 + 4) * 10 + 5) * 10 + 6
So:
def add_digits(digits):
total = 0
for digit in digits:
total = total * 10 + digit
return total
>>> add_digits((1, 3, 5, 6))
1356
>>> add_digits(n for n in range(10) if n%2)
13579
Notice that you can easily extend either version to other bases:
def add_digits(*digits, base=10):
total = 0
for i, digit in enumerate(digits):
total += digit * base**(len(digits)-i-1)
return total
>>> hex(add_digits(1, 0xF, 2, 0xA, base=16))
'0x1f2a'
… which isn't quite as easy to do with the stringy version; you can't just do int(''.join(map(str, digits)), base), but instead need to replace that str with a function that converts to a string in a given base. Which there are plenty of solutions for, but no obvious and readable one-liner.

You should try casting the numbers as strings! When you do something like this
str(1)+str(4)+str(5)
You will get 145, but it will be a string. If you want it to be a number afterwards, then you can cast the whole thing as an integer.
int(str(1)+str(4)+str(5))
or just set the answer to a new variable and cast that as an integer.

You could just write a function that concatenates numbers or any other object/datatype as a string
concatenate = lambda *args : ''.join([str(arg) for arg in args])
a = 1
print(concatenate(4, 5, 6))
print(concatenate(a, MagicNumber(1), "3"))
But also in python you can make a class and write magic functions that control the way that objects of your class are added, subtracted etc. You could make a class to store a number and add it like you want to. You could save this code in a file and import it or paste it into your own script.
class MagicNumber():
value = 0
def __init__(self, value):
self.value = int(value)
def __str__(self):
return str(self.value)
def __int__(self):
return self.value
def __repr__(self):
return self.value
def __add__(self, b):
return MagicNumber(str(self)+str(b))
if __name__ == "__main__":
a = MagicNumber(4)
b = MagicNumber(5)
c = MagicNumber(6)
print(a+b+c)
#You could even do this but I strongly advise against it
print(a+5+6)
And heres a link to the documentation about these "magic methods"
https://docs.python.org/3/reference/datamodel.html

The easiest way to do this is to concat them as strings, and then parse it back into a number.
x = str(1) + str(4) + str(5)
print(int(x))
or
int(str(1) + str(4) + str(5))

Related

Zylabs 7.14 Lab: Reverse binary [duplicate]

Are there any canned Python methods to convert an Integer (or Long) into a binary string in Python?
There are a myriad of dec2bin() functions out on Google... But I was hoping I could use a built-in function / library.
Python's string format method can take a format spec.
>>> "{0:b}".format(37)
'100101'
Format spec docs for Python 2
Format spec docs for Python 3
If you're looking for bin() as an equivalent to hex(), it was added in python 2.6.
Example:
>>> bin(10)
'0b1010'
Python actually does have something already built in for this, the ability to do operations such as '{0:b}'.format(42), which will give you the bit pattern (in a string) for 42, or 101010.
For a more general philosophy, no language or library will give its user base everything that they desire. If you're working in an environment that doesn't provide exactly what you need, you should be collecting snippets of code as you develop to ensure you never have to write the same thing twice. Such as, for example, the pseudo-code:
define intToBinString, receiving intVal:
if intVal is equal to zero:
return "0"
set strVal to ""
while intVal is greater than zero:
if intVal is odd:
prefix "1" to strVal
else:
prefix "0" to strVal
divide intVal by two, rounding down
return strVal
which will construct your binary string based on the decimal value. Just keep in mind that's a generic bit of pseudo-code which may not be the most efficient way of doing it though, with the iterations you seem to be proposing, it won't make much difference. It's really just meant as a guideline on how it could be done.
The general idea is to use code from (in order of preference):
the language or built-in libraries.
third-party libraries with suitable licenses.
your own collection.
something new you need to write (and save in your own collection for later).
If you want a textual representation without the 0b-prefix, you could use this:
get_bin = lambda x: format(x, 'b')
print(get_bin(3))
>>> '11'
print(get_bin(-3))
>>> '-11'
When you want a n-bit representation:
get_bin = lambda x, n: format(x, 'b').zfill(n)
>>> get_bin(12, 32)
'00000000000000000000000000001100'
>>> get_bin(-12, 32)
'-00000000000000000000000000001100'
Alternatively, if you prefer having a function:
def get_bin(x, n=0):
"""
Get the binary representation of x.
Parameters
----------
x : int
n : int
Minimum number of digits. If x needs less digits in binary, the rest
is filled with zeros.
Returns
-------
str
"""
return format(x, 'b').zfill(n)
I am surprised there is no mention of a nice way to accomplish this using formatting strings that are supported in Python 3.6 and higher. TLDR:
>>> number = 1
>>> f'0b{number:08b}'
'0b00000001'
Longer story
This is functionality of formatting strings available from Python 3.6:
>>> x, y, z = 1, 2, 3
>>> f'{x} {y} {2*z}'
'1 2 6'
You can request binary as well:
>>> f'{z:b}'
'11'
Specify the width:
>>> f'{z:8b}'
' 11'
Request zero padding:
f'{z:08b}'
'00000011'
And add common prefix to signify binary number:
>>> f'0b{z:08b}'
'0b00000011'
You can also let Python add the prefix for you but I do not like it so much as the version above because you have to take the prefix into width consideration:
>>> f'{z:#010b}'
'0b00000011'
More info is available in official documentation on Formatted string literals and Format Specification Mini-Language.
As a reference:
def toBinary(n):
return ''.join(str(1 & int(n) >> i) for i in range(64)[::-1])
This function can convert a positive integer as large as 18446744073709551615, represented as string '1111111111111111111111111111111111111111111111111111111111111111'.
It can be modified to serve a much larger integer, though it may not be as handy as "{0:b}".format() or bin().
This is for python 3 and it keeps the leading zeros !
print(format(0, '08b'))
A simple way to do that is to use string format, see this page.
>> "{0:b}".format(10)
'1010'
And if you want to have a fixed length of the binary string, you can use this:
>> "{0:{fill}8b}".format(10, fill='0')
'00001010'
If two's complement is required, then the following line can be used:
'{0:{fill}{width}b}'.format((x + 2**n) % 2**n, fill='0', width=n)
where n is the width of the binary string.
one-liner with lambda:
>>> binary = lambda n: '' if n==0 else binary(n/2) + str(n%2)
test:
>>> binary(5)
'101'
EDIT:
but then :(
t1 = time()
for i in range(1000000):
binary(i)
t2 = time()
print(t2 - t1)
# 6.57236599922
in compare to
t1 = time()
for i in range(1000000):
'{0:b}'.format(i)
t2 = time()
print(t2 - t1)
# 0.68017411232
As the preceding answers mostly used format(),
here is an f-string implementation.
integer = 7
bit_count = 5
print(f'{integer:0{bit_count}b}')
Output:
00111
For convenience here is the python docs link for formatted string literals: https://docs.python.org/3/reference/lexical_analysis.html#f-strings.
Summary of alternatives:
n=42
assert "-101010" == format(-n, 'b')
assert "-101010" == "{0:b}".format(-n)
assert "-101010" == (lambda x: x >= 0 and str(bin(x))[2:] or "-" + str(bin(x))[3:])(-n)
assert "0b101010" == bin(n)
assert "101010" == bin(n)[2:] # But this won't work for negative numbers.
Contributors include John Fouhy, Tung Nguyen, mVChr, Martin Thoma. and Martijn Pieters.
>>> format(123, 'b')
'1111011'
For those of us who need to convert signed integers (range -2**(digits-1) to 2**(digits-1)-1) to 2's complement binary strings, this works:
def int2bin(integer, digits):
if integer >= 0:
return bin(integer)[2:].zfill(digits)
else:
return bin(2**digits + integer)[2:]
This produces:
>>> int2bin(10, 8)
'00001010'
>>> int2bin(-10, 8)
'11110110'
>>> int2bin(-128, 8)
'10000000'
>>> int2bin(127, 8)
'01111111'
you can do like that :
bin(10)[2:]
or :
f = str(bin(10))
c = []
c.append("".join(map(int, f[2:])))
print c
Using numpy pack/unpackbits, they are your best friends.
Examples
--------
>>> a = np.array([[2], [7], [23]], dtype=np.uint8)
>>> a
array([[ 2],
[ 7],
[23]], dtype=uint8)
>>> b = np.unpackbits(a, axis=1)
>>> b
array([[0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 1, 1, 1],
[0, 0, 0, 1, 0, 1, 1, 1]], dtype=uint8)
Yet another solution with another algorithm, by using bitwise operators.
def int2bin(val):
res=''
while val>0:
res += str(val&1)
val=val>>1 # val=val/2
return res[::-1] # reverse the string
A faster version without reversing the string.
def int2bin(val):
res=''
while val>0:
res = chr((val&1) + 0x30) + res
val=val>>1
return res
numpy.binary_repr(num, width=None)
Examples from the documentation link above:
>>> np.binary_repr(3)
'11'
>>> np.binary_repr(-3)
'-11'
>>> np.binary_repr(3, width=4)
'0011'
The two’s complement is returned when the input number is negative and width is specified:
>>> np.binary_repr(-3, width=3)
'101'
>>> np.binary_repr(-3, width=5)
'11101'
The accepted answer didn't address negative numbers, which I'll cover.
In addition to the answers above, you can also just use the bin and hex functions. And in the opposite direction, use binary notation:
>>> bin(37)
'0b100101'
>>> 0b100101
37
But with negative numbers, things get a bit more complicated. The question doesn't specify how you want to handle negative numbers.
Python just adds a negative sign so the result for -37 would be this:
>>> bin(-37)
'-0b100101'
In computer/hardware binary data, negative signs don't exist. All we have is 1's and 0's. So if you're reading or producing binary streams of data to be processed by other software/hardware, you need to first know the notation being used.
One notation is sign-magnitude notation, where the first bit represents the negative sign, and the rest is the actual value. In that case, -37 would be 0b1100101 and 37 would be 0b0100101. This looks like what python produces, but just add a 0 or 1 in front for positive / negative numbers.
More common is Two's complement notation, which seems more complicated and the result is very different from python's string formatting. You can read the details in the link, but with an 8bit signed integer -37 would be 0b11011011 and 37 would be 0b00100101.
Python has no easy way to produce these binary representations. You can use numpy to turn Two's complement binary values into python integers:
>>> import numpy as np
>>> np.int8(0b11011011)
-37
>>> np.uint8(0b11011011)
219
>>> np.uint8(0b00100101)
37
>>> np.int8(0b00100101)
37
But I don't know an easy way to do the opposite with builtin functions. The bitstring package can help though.
>>> from bitstring import BitArray
>>> arr = BitArray(int=-37, length=8)
>>> arr.uint
219
>>> arr.int
-37
>>> arr.bin
'11011011'
>>> BitArray(bin='11011011').int
-37
>>> BitArray(bin='11011011').uint
219
Python 3.6 added a new string formatting approach called formatted string literals or “f-strings”.
Example:
name = 'Bob'
number = 42
f"Hello, {name}, your number is {number:>08b}"
Output will be 'Hello, Bob, your number is 00001010!'
A discussion of this question can be found here - Here
Unless I'm misunderstanding what you mean by binary string I think the module you are looking for is struct
n=input()
print(bin(n).replace("0b", ""))
def binary(decimal) :
otherBase = ""
while decimal != 0 :
otherBase = str(decimal % 2) + otherBase
decimal //= 2
return otherBase
print binary(10)
output:
1010
Here is the code I've just implemented. This is not a method but you can use it as a ready-to-use function!
def inttobinary(number):
if number == 0:
return str(0)
result =""
while (number != 0):
remainder = number%2
number = number/2
result += str(remainder)
return result[::-1] # to invert the string
Calculator with all neccessary functions for DEC,BIN,HEX:
(made and tested with Python 3.5)
You can change the input test numbers and get the converted ones.
# CONVERTER: DEC / BIN / HEX
def dec2bin(d):
# dec -> bin
b = bin(d)
return b
def dec2hex(d):
# dec -> hex
h = hex(d)
return h
def bin2dec(b):
# bin -> dec
bin_numb="{0:b}".format(b)
d = eval(bin_numb)
return d,bin_numb
def bin2hex(b):
# bin -> hex
h = hex(b)
return h
def hex2dec(h):
# hex -> dec
d = int(h)
return d
def hex2bin(h):
# hex -> bin
b = bin(h)
return b
## TESTING NUMBERS
numb_dec = 99
numb_bin = 0b0111
numb_hex = 0xFF
## CALCULATIONS
res_dec2bin = dec2bin(numb_dec)
res_dec2hex = dec2hex(numb_dec)
res_bin2dec,bin_numb = bin2dec(numb_bin)
res_bin2hex = bin2hex(numb_bin)
res_hex2dec = hex2dec(numb_hex)
res_hex2bin = hex2bin(numb_hex)
## PRINTING
print('------- DECIMAL to BIN / HEX -------\n')
print('decimal:',numb_dec,'\nbin: ',res_dec2bin,'\nhex: ',res_dec2hex,'\n')
print('------- BINARY to DEC / HEX -------\n')
print('binary: ',bin_numb,'\ndec: ',numb_bin,'\nhex: ',res_bin2hex,'\n')
print('----- HEXADECIMAL to BIN / HEX -----\n')
print('hexadec:',hex(numb_hex),'\nbin: ',res_hex2bin,'\ndec: ',res_hex2dec,'\n')
Somewhat similar solution
def to_bin(dec):
flag = True
bin_str = ''
while flag:
remainder = dec % 2
quotient = dec / 2
if quotient == 0:
flag = False
bin_str += str(remainder)
dec = quotient
bin_str = bin_str[::-1] # reverse the string
return bin_str
here is simple solution using the divmod() fucntion which returns the reminder and the result of a division without the fraction.
def dectobin(number):
bin = ''
while (number >= 1):
number, rem = divmod(number, 2)
bin = bin + str(rem)
return bin
Here's yet another way using regular math, no loops, only recursion. (Trivial case 0 returns nothing).
def toBin(num):
if num == 0:
return ""
return toBin(num//2) + str(num%2)
print ([(toBin(i)) for i in range(10)])
['', '1', '10', '11', '100', '101', '110', '111', '1000', '1001']
To calculate binary of numbers:
print("Binary is {0:>08b}".format(16))
To calculate the Hexa decimal of a number:
print("Hexa Decimal is {0:>0x}".format(15))
To Calculate all the binary no till 16::
for i in range(17):
print("{0:>2}: binary is {0:>08b}".format(i))
To calculate Hexa decimal no till 17
for i in range(17):
print("{0:>2}: Hexa Decimal is {0:>0x}".format(i))
##as 2 digit is enogh for hexa decimal representation of a number
try:
while True:
p = ""
a = input()
while a != 0:
l = a % 2
b = a - l
a = b / 2
p = str(l) + p
print(p)
except:
print ("write 1 number")
I found a method using matrix operation to convert decimal to binary.
import numpy as np
E_mat = np.tile(E,[1,M])
M_order = pow(2,(M-1-np.array(range(M)))).T
bindata = np.remainder(np.floor(E_mat /M_order).astype(np.int),2)
Eis input decimal data,M is the binary orders. bindata is output binary data, which is in a format of 1 by M binary matrix.

Adding strings (as representation for base 12 numbers) and integrers/ other strings in python

I need to create a calculator that can add numbers in base 12 and with different limits at the differents diggits.
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
That means you would count like this:[1,2,3,4,5,6,7,8,9,A,B,10,11,...48,49,4A,4B]
but I don´t know how could I make it so that I can sum 2 numbers
I have the following code in python:
list1=[0,1,2,3,4,5,6,7,8,9,"A","B"]
list2=[0,1,2,3,4]
list3=[0,1,2,3,4,5,6,7,8,9,"A","B"]
list4=[0,1,2,3,4]
def calculadora (entrada1, operacion, entrada2):
#parte de valor 1:
digito1_1=str(list2[int(entrada1//12)])
digito1_2=str(list1[int(entrada1%12)])
valor1=float(digito1_1+digito1_2)
#parte de valor 2
digito2_1=str(list2[int(entrada2//12)])
digito2_2=str(list1[int(entrada2%12)])
valor2=float(digito2_1+digito2_2)
if operacion==str("suma") or "+":
return float(valor1+valor2)
entrada1 = float(input("inserte primer valor"))
operacion=str(input("inserte operación"))
entrada2 = float(input("inserte segundo valor"))
print (calculadora(entrada1,operacion,entrada2))
It works for numbers but wenn I want to sum numbers like 3B, it gives me a ValueError as it is coded as string.
Could someone help me or say me how could I do it to sum such numbers please?
The easiest way to convert a base-12 encoded string to int is via int(string, 12). The reverse is not quite as easy, because Python doesn't seem to have a built-in way to do that. You can use format specifiers for binary, octal, and hex, but not arbitrary bases.
You can get a reversed list of digits using divmod(), which does division with remainder.
def to_digits(x, base):
while x > 0:
x, rem = divmod(x, base)
yield rem
But to round-trip, we want a string. Convert the int to a character (using a string as a lookup table), and join them into a string, then use a negatively-stepped slice to reverse it.
def to_base_12(num):
return ''.join('0123456789AB'[d] for d in to_digits(num, 12))[::-1]
With a longer lookup table, you could generalize this into higher bases.
Strings are already sequences, but if you want to convert that back to a list, you can just call list() on it. The inverse is that ''.join() method you just saw.
Now that you can convert your base-12 representation to Python int objects and back, you can simply add them with +.
Here is slight variation on the excellent answer from gilch that handles negative numbers and zero.
def convert_to_string(num, base):
'''
Convert integer (num) to base less than base 37.
'''
alpha = string.digits + string.ascii_lowercase
assert isinstance(num, int)
assert isinstance(base, int)
assert 1 < base <= len(alpha)
if num == 0:
return '0'
def to_digits(num, base, alpha):
'''
Generator to convert digits in reverse order.
'''
while num > 0:
num, rem = divmod(num, base)
yield alpha[rem]
sign = ''
if num < 0:
num, sign = -num, '-'
return sign + ''.join(d for d in reversed(tuple(to_digits(num, base, alpha))))
def convert_from_string(num, base):
'''
Convert string in base X to integer.
'''
return int(str(num), base)
def test():
'''
Test conversions.
'''
assert convert_to_string(0, 2) == '0'
assert convert_to_string(4, 2) == '100'
assert convert_to_string(23, 12) == '1b'
assert convert_to_string(-6, 2) == '-110'
assert convert_from_string('1b', 12) == 23
assert convert_from_string('-110', 2) == -6
You can add them directly if you convert the A and B to 11 and 12. Then as each number is now a list of digits one can add them the same way that an ALU does. See the section on addition of integers in any text on computer arithmetic.
def add(A, B):
result = []
carry = 0
for a, b in reversed(zip(A,B)):
carry, digit = divmod(a + b + carry, 12)
result.append(digit)
if carry:
result.append(carry)
result.reverse()
return result
>>> add([4,3],[6,11])
[11, 2]
>>> add([5,3],[6,11])
[1, 0, 2]
The lists are MSD first. The double reversing is not needed if the lists were in LSD first.

Decimal To Binary Python Getting an Extra Zero In Return String

This is for a school project. I need to create a function using recursion to convert an integer to binary string. It must be a str returned, not an int. The base case is n==0, and then 0 would need to be returned. There must be a base case like this, but this is where I think I am getting the extra 0 from (I could be wrong). I am using Python 3.6 with the IDLE and the shell to execute it.
The function works just fine, expect for this additional zero that I need gone.
Here is my function, dtobr:
def dtobr(n):
"""
(int) -> (str)
This function has the parameter n, which is a non-negative integer,
and it will return the string of 0/1's
which is the binary representation of n. No side effects.
Returns bianry string as mentioned. This is like the function
dtob (decimal to bianary) but this is using recursion.
Examples:
>>> dtob(27)
'11011'
>>> dtob(0)
'0'
>>> dtob(1)
'1'
>>> dtob(2)
'10'
"""
if n == 0:
return str(0)
return dtobr(n // 2) + str(n % 2)
This came from the function I already wrote which converted it just fine, but without recursion. For reference, I will include this code as well, but this is not what I need for this project, and there are no errors with this:
def dtob(n):
"""
(int) -> (str)
This function has the parameter n, which is a non-negative integer,
and it will return the string of 0/1's
which is the binary representation of n. No side effects.
Returns bianry string as mentioned.
Examples:
>>> dtob(27)
'11011'
>>> dtob(0)
'0'
>>> dtob(1)
'1'
>>> dtob(2)
'10'
"""
string = ""
if n == 0:
return str(0)
while n > 0:
remainder = n % 2
string = str(remainder) + string
n = n // 2
Hopefully someone can help me get ride of that additional left hand zero. Thanks!
You need to change the condition to recursively handle both the n // 2 and n % 2:
if n <= 1:
return str(n) # per #pault's suggestion, only needed str(n) instead of str(n % 2)
else:
return dtobr(n // 2) + dtobr(n % 2)
Test case:
for i in [0, 1, 2, 27]:
print(dtobr(i))
# 0
# 1
# 10
# 11011
FYI you can easily convert to binary format like so:
'{0:b}'.format(x) # where x is your number
Since there is already an answer that points and resolves the issue with recursive way, lets see some interesting ways to achieve same goal.
Lets define a generator that will give us iterative way of getting binary numbers.
def to_binary(n):
if n == 0: yield "0"
while n > 0:
yield str(n % 2)
n = n / 2
Then you can use this iterable to get decimal to binary conversion in multiple ways.
Example 1.
reduce function is used to concatenate chars received from to_binary iterable (generator).
from functools import reduce
def to_binary(n):
if n == 0: yield "0"
while n > 0:
yield str(n % 2)
n = n / 2
print reduce(lambda x, y: x+y, to_binary(0)) # 0
print reduce(lambda x, y: x+y, to_binary(15)) # 1111
print reduce(lambda x, y: x+y, to_binary(15)) # 11011
Example 2.
join takes iterable, unrolls it and joins them by ''
def to_binary(n):
if n == 0: yield "0"
while n > 0:
yield str(n % 2)
n = n / 2
print ''.join(to_binary(0)) # 0
print ''.join(to_binary(1)) # 1
print ''.join(to_binary(15)) # 1111
print ''.join(to_binary(27)) # 11011

Format decimal without trailing zeros [duplicate]

I have a long list of Decimals and that I have to adjust by factors of 10, 100, 1000,..... 1000000 depending on certain conditions. When I multiply them there is sometimes a useless trailing zero (though not always) that I want to get rid of. For example...
from decimal import Decimal
# outputs 25.0, PROBLEM! I would like it to output 25
print Decimal('2.5') * 10
# outputs 2567.8000, PROBLEM! I would like it to output 2567.8
print Decimal('2.5678') * 1000
Is there a function that tells the decimal object to drop these insignificant zeros? The only way I can think of doing this is to convert to a string and replace them using regular expressions.
Should probably mention that I am using python 2.6.5
EDIT
senderle's fine answer made me realize that I occasionally get a number like 250.0 which when normalized produces 2.5E+2. I guess in these cases I could try to sort them out and convert to a int
You can use the normalize method to remove extra precision.
>>> print decimal.Decimal('5.500')
5.500
>>> print decimal.Decimal('5.500').normalize()
5.5
To avoid stripping zeros to the left of the decimal point, you could do this:
def normalize_fraction(d):
normalized = d.normalize()
sign, digits, exponent = normalized.as_tuple()
if exponent > 0:
return decimal.Decimal((sign, digits + (0,) * exponent, 0))
else:
return normalized
Or more compactly, using quantize as suggested by user7116:
def normalize_fraction(d):
normalized = d.normalize()
sign, digit, exponent = normalized.as_tuple()
return normalized if exponent <= 0 else normalized.quantize(1)
You could also use to_integral() as shown here but I think using as_tuple this way is more self-documenting.
I tested these both against a few cases; please leave a comment if you find something that doesn't work.
>>> normalize_fraction(decimal.Decimal('55.5'))
Decimal('55.5')
>>> normalize_fraction(decimal.Decimal('55.500'))
Decimal('55.5')
>>> normalize_fraction(decimal.Decimal('55500'))
Decimal('55500')
>>> normalize_fraction(decimal.Decimal('555E2'))
Decimal('55500')
There's probably a better way of doing this, but you could use .rstrip('0').rstrip('.') to achieve the result that you want.
Using your numbers as an example:
>>> s = str(Decimal('2.5') * 10)
>>> print s.rstrip('0').rstrip('.') if '.' in s else s
25
>>> s = str(Decimal('2.5678') * 1000)
>>> print s.rstrip('0').rstrip('.') if '.' in s else s
2567.8
And here's the fix for the problem that #gerrit pointed out in the comments:
>>> s = str(Decimal('1500'))
>>> print s.rstrip('0').rstrip('.') if '.' in s else s
1500
Answer from the Decimal FAQ in the documentation:
>>> def remove_exponent(d):
... return d.quantize(Decimal(1)) if d == d.to_integral() else d.normalize()
>>> remove_exponent(Decimal('5.00'))
Decimal('5')
>>> remove_exponent(Decimal('5.500'))
Decimal('5.5')
>>> remove_exponent(Decimal('5E+3'))
Decimal('5000')
Answer is mentioned in FAQ (https://docs.python.org/2/library/decimal.html#decimal-faq) but does not explain things.
To drop trailing zeros for fraction part you should use normalize:
>>> Decimal('100.2000').normalize()
Decimal('100.2')
>> Decimal('0.2000').normalize()
Decimal('0.2')
But this works different for numbers with leading zeros in sharp part:
>>> Decimal('100.0000').normalize()
Decimal('1E+2')
In this case we should use `to_integral':
>>> Decimal('100.000').to_integral()
Decimal('100')
So we could check if there's a fraction part:
>>> Decimal('100.2000') == Decimal('100.2000').to_integral()
False
>>> Decimal('100.0000') == Decimal('100.0000').to_integral()
True
And use appropriate method then:
def remove_exponent(num):
return num.to_integral() if num == num.to_integral() else num.normalize()
Try it:
>>> remove_exponent(Decimal('100.2000'))
Decimal('100.2')
>>> remove_exponent(Decimal('100.0000'))
Decimal('100')
>>> remove_exponent(Decimal('0.2000'))
Decimal('0.2')
Now we're done.
Use the format specifier %g. It seems remove to trailing zeros.
>>> "%g" % (Decimal('2.5') * 10)
'25'
>>> "%g" % (Decimal('2.5678') * 1000)
'2567.8'
It also works without the Decimal function
>>> "%g" % (2.5 * 10)
'25'
>>> "%g" % (2.5678 * 1000)
'2567.8'
I ended up doing this:
import decimal
def dropzeros(number):
mynum = decimal.Decimal(number).normalize()
# e.g 22000 --> Decimal('2.2E+4')
return mynum.__trunc__() if not mynum % 1 else float(mynum)
print dropzeros(22000.000)
22000
print dropzeros(2567.8000)
2567.8
note: casting the return value as a string will limit you to 12 significant digits
Slightly modified version of A-IV's answer
NOTE that Decimal('0.99999999999999999999999999995').normalize() will round to Decimal('1')
def trailing(s: str, char="0"):
return len(s) - len(s.rstrip(char))
def decimal_to_str(value: decimal.Decimal):
"""Convert decimal to str
* Uses exponential notation when there are more than 4 trailing zeros
* Handles decimal.InvalidOperation
"""
# to_integral_value() removes decimals
if value == value.to_integral_value():
try:
value = value.quantize(decimal.Decimal(1))
except decimal.InvalidOperation:
pass
uncast = str(value)
# use exponential notation if there are more that 4 zeros
return str(value.normalize()) if trailing(uncast) > 4 else uncast
else:
# normalize values with decimal places
return str(value.normalize())
# or str(value).rstrip('0') if rounding edgecases are a concern
You could use :g to achieve this:
'{:g}'.format(3.140)
gives
'3.14'
This should work:
'{:f}'.format(decimal.Decimal('2.5') * 10).rstrip('0').rstrip('.')
Just to show a different possibility, I used to_tuple() to achieve the same result.
def my_normalize(dec):
"""
>>> my_normalize(Decimal("12.500"))
Decimal('12.5')
>>> my_normalize(Decimal("-0.12500"))
Decimal('-0.125')
>>> my_normalize(Decimal("0.125"))
Decimal('0.125')
>>> my_normalize(Decimal("0.00125"))
Decimal('0.00125')
>>> my_normalize(Decimal("125.00"))
Decimal('125')
>>> my_normalize(Decimal("12500"))
Decimal('12500')
>>> my_normalize(Decimal("0.000"))
Decimal('0')
"""
if dec is None:
return None
sign, digs, exp = dec.as_tuple()
for i in list(reversed(digs)):
if exp >= 0 or i != 0:
break
exp += 1
digs = digs[:-1]
if not digs and exp < 0:
exp = 0
return Decimal((sign, digs, exp))
Why not use modules 10 from a multiple of 10 to check if there is remainder? No remainder means you can force int()
if (x * 10) % 10 == 0:
x = int(x)
x = 2/1
Output: 2
x = 3/2
Output: 1.5

Randrange whitin static method

I wrote a method (in Python) get_16bit_error for generate a random integer of 16 bits. I'm trying to understand why this code always output "similar" numbers. For an instance when I ran this code two times I obtained 0x10000, 0x100000 or 0x800000, 0x8000000.
class Util(object):
#staticmethod
def get_16bit_error():
i = randrange(0, 16)
e = bin(2 ** i)[2:]
len_e = len(e)
e = "0"*(16 - len_e) + e
return int(e + "0"*(16), 2)
for i in range(2):
print hex(Util.get_16bit_error())
Bit is a binary digit, so 16 bits is 16 binary digits.
import random
class Util(object):
#staticmethod
def get_16bit_error():
string = ''
for i in range(16):
string += random.choice(['1', '0'])
return '0b' + string
the_binary = hex(Util.get_16bit_error())
in_decimal = print int(the_binary, 2)
print the_binary # or in_decimal
You're generating numbers of the form 2**(16 + randrange(0,16)). I'm guessing that's not what you want. Let's break it down:
i = randrange(0, 16)
i is a random number between 0 and 16. Good so far. Let's proceed assuming i = 3.
e = bin(2 ** i)[2:]
So now you've exponentiated 2 by i (in our example, 2**i = 8. Then you convert it to binary representation and take the back end of the string, so e = 1000.
len_e = len(e)
The length of e, which is 4 in our example.
e = "0"*(16 - len_e) + e
This essentially pads e with zeros so that it has length 16. In our example, e = '0000000000001000'.
return int(e + "0"*(16), 2)
First you add sixteen zeros to the end of the binary representation. This has the effect of taking what was 2**i and making it 2**(16 + i). You then convert it to an integer. That's why all your hex representations look the same.
If you want to generate a random 16 bit number, try this:
import random
def rand_16_bit_int():
return random.randrange(2**16)
Lastly, I'm not sure what the purpose of the Util class and the staticmethod is here... perhaps you're coming from Java where you have to put all your methods in classes. Not so in python. It's sufficient to define rand_16_bit_int as a free function in your module.

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