How to turn a binary string into a byte? - python

If I take the letter 'à' and encode it in UTF-8 I obtain the following result:
'à'.encode('utf-8')
>> b'\xc3\xa0'
Now from a bytearray I would like to convert 'à' into a binary string and turn it back into 'à'. To do so I execute the following code:
byte = bytearray('à','utf-8')
for x in byte:
print(bin(x))
I get 0b11000011and0b10100000, which is 195 and 160. Then, I fuse them together and take the 0b part out. Now I execute this code:
s = '1100001110100000'
value1 = s[0:8].encode('utf-8')
value2 = s[9:16].encode('utf-8')
value = value1 + value2
print(chr(int(value, 2)))
>> 憠
No matter how I develop the later part I get symbols and never seem to be able to get back my 'à'. I would like to know why is that? And how can I get an 'à'.

>>> bytes(int(s[i:i+8], 2) for i in range(0, len(s), 8)).decode('utf-8')
'à'
There are multiple parts to this. The bytes constructor creates a byte string from a sequence of integers. The integers are formed from strings using int with a base of 2. The range combined with the slicing peels off 8 characters at a time. Finally decode converts those bytes back into Unicode characters.

you need your second bits to be s[8:16] (or just s[8:]) otherwise you get 0100000
you also need to convert you "bit string" back to an integer before thinking of it as a byte with int("0010101",2)
s = '1100001110100000'
value1 = bytearray([int(s[:8],2), # bits 0..7 (8 total)
int(s[8:],2)] # bits 8..15 (8 total)
)
print(value1.decode("utf8"))

Convert the base-2 value back to an integer with int(s,2), convert that integer to a number of bytes (int.to_bytes) based on the original length divided by 8 and big-endian conversion to keep the bytes in the right order, then .decode() it (default in Python 3 is utf8):
>>> s = '1100001110100000'
>>> int(s,2)
50080
>>> int(s,2).to_bytes(len(s)//8,'big')
b'\xc3\xa0'
>>> int(s,2).to_bytes(len(s)//8,'big').decode()
'à'

Related

Converting integer to a pair of bytes produces unexpected format?

I am using python 3.8.5, and trying to convert from an integer in the range (0,65535) to a pair of bytes. I am currently using the following code:
from struct import pack
input_integer = 2111
bytes_val = voltage.to_bytes(2,'little')
output_data = struct.pack('bb',bytes_val[1],bytes_val[0])
print(output_data)
This produces the following output:
b'\x08?'
This \x08 is 8 in hex, the most significant byte, and ? is 63 in ascii. So together, the numbers add up to 2111 (8*256+63=2111). What I can't figure out is why the least significant byte is coming out in ascii instead of hex? It's very strange to me that it's in a different format than the MSB right next to it. I want it in hex for the output data, and am trying to figure out how to achieve that.
I have also tried modifying the format string in the last line to the following:
output_data = struct.pack('cc',bytes_val[1],bytes_val[0])
which produces the following error:
struct.error: char format requires a bytes object of length 1
I checked the types at each step, and it looks like bytes_val is a bytearray of length 2, but when I take one of the individual elements, say bytes_val[1], it is an integer rather than a byte array.
Any ideas?
All your observations can be verified from the docs for the bytes class:
While bytes literals and representations are based on ASCII text, bytes objects actually behave like immutable sequences of integers
In Python strings any letters and punctuation are represented by themselves in ASCII, while any control codes by their hexadecimal value (0-31, 127). You can see this by printing ''.join(map(chr, range(128))). Bytes literals follow the same convention, except that individual byte elements are integer, i.e., output_data[0].
If you want to represent everything as hex
>>> output_data.hex()
'083f'
>>> bytes.fromhex('083f') # to recover
b'\x08?'
As of version 3.8 bytes.hex() now supports optional sep and bytes_per_sep parameters to insert separators between bytes in the hex output.
>>> b'abcdef'.hex(' ', 2)
'6162 6364 6566'

How can I densely store large numbers in a file?

I need to store and handle huge amounts of very long numbers, which are in range from 0 to f 64 times (ffffffffff.....ffff).
If I store these numbers in a file, I need 1 byte for each character (digit) + 2 bytes for \n symbol = up to 66 bytes. However to represent all possible numbers we need not more than 34 bytes (4 bits represent digits from 0 to f, therefore 4 [bits] * 64 [amount of hex digits]/8 [bits a in byte] = 32 bytes + \n, of course).
Is there any way to store the number without consuming excess memory?
So far I have created converter from hex (with 16 digits per symbol) to a number with base of 76 (hex + all letters and some other symbols), which reduces size of a number to 41 + 2 bytes.
You are trying to store 32 bytes long. Why not just store them as binary numbers? That way you need to store only 32 bytes per number instead of 41 or whatever. You can add on all sorts of quasi-compression schemes to take advantage of things like most of your numbers being shorter than 32 bytes.
If your number is a string, convert it to an int first. Python3 ints are basically infinite precision, so you will not lose any information:
>>> num = '113AB87C877AAE3790'
>>> num = int(num, 16)
>>> num
317825918024297625488
Now you can convert the result to a byte array and write it to a file opened for binary writing:
with open('output.bin', 'wb') as file:
file.write(num.to_bytes(32, byteorder='big'))
The int method to_bytes converts your number to a string of bytes that can be placed in a file. You need to specify the string length and the order. 'big' makes it easier to read a hex dump of the file.
To read the file back and decode it using int.from_bytes in a similar manner:
with open('output.bin', 'rb') as file:
bytes = file.read(32)
num = int.from_bytes(bytes, byteorder='big')
Remember to always include the b in the file mode, or you may run into unexpected problems if you try to read or write data with codes for \n in it.
Both the read and write operation can be looped as a matter of course.
If you anticipate storing an even distribution of numbers, then see Mad Physicist's answer. However, If you anticipate storing mostly small numbers but need to be able to store a few large numbers, then these schemes may also be useful.
If you only need to account for integers that are 255 or fewer bytes (2040 or fewer bits) in length, then simply convert the int to a bytes object and store the length in an additional byte, like this:
# This was only tested with non-negative integers!
def encode(num):
assert isinstance(num, int)
# Convert the number to a byte array and strip away leading null bytes.
# You can also use byteorder="little" and rstrip.
# If the integer does not fit into 255 bytes, an OverflowError will be raised.
encoded = num.to_bytes(255, byteorder="big").lstrip(b'\0')
# Return the length of the integer in the first byte, followed by the encoded integer.
return bytes([len(encoded)]) + encoded
def encode_many(nums):
return b''.join(encode(num) for num in nums)
def decode_many(byte_array):
assert isinstance(byte_array, bytes)
result = []
start = 0
while start < len(byte_array):
# The first byte contains the length of the integer.
int_length = byte_array[start]
# Read int_length bytes and decode them as int.
new_int = int.from_bytes(byte_array[(start+1):(start+int_length+1)], byteorder="big")
# Add the new integer to the result list.
result.append(new_int)
start += int_length + 1
return result
To store integers of (practically) infinite length, you can use this scheme, based on variable-length quantities in the MIDI file format. First, the rules:
A byte has eight bits (for those who don't know).
In each byte except the last, the left-most bit (the highest-order bit) will be 1.
The lower seven bits (i.e. all bits except the left-most bit) in each byte, when concatenated together, form an integer with a variable number of bits.
Here are a few examples:
0 in binary is 00000000. It can be represented in one byte without modification as 00000000.
127 in binary is 01111111. It can be represented in one byte without modification as 01111111.
128 in binary is 10000000. It must be converted to a two-byte representation: 10000001 00000000. Let's break that down:
The left-most bit in the first byte is 1, which means that it is not the last byte.
The left-most bit in the second byte is 0, which means that it is the last byte.
The lower seven bits in the first byte are 0000001, and the lower seven bits in the second byte are 0000000. Concatenate those together, and you get 00000010000000, which is 128.
173249806138790 in binary is 100111011001000111011101001001101111110110100110.
To store it:
First, split the binary number into groups of seven bits: 0100111 0110010 0011101 1101001 0011011 1111011 0100110 (a leading 0 was added)
Then, add a 1 in front of each byte except the last, which gets a 0: 10100111 10110010 10011101 11101001 10011011 11111011 00100110
To retrieve it:
First, drop the first bit of each byte: 0100111 0110010 0011101 1101001 0011011 1111011 0100110
You are left with an array of seven-bit segments. Join them together: 100111011001000111011101001001101111110110100110
When that is converted to decimal, you get 173,249,806,138,790.
Why, you ask, do we make the left-most bit in the last byte of each number a 0? Well, doing that allows you to concatenate multiple numbers together without using line breaks. When writing the numbers to a file, just write them one after another. When reading the numbers from a file, use a loop that builds an array of integers, ending each integer whenever it detects a byte where the left-most bit is 0.
Here are two functions, encode and decode, which convert between int and bytes in Python 3.
# Important! These methods only work with non-negative integers!
def encode(num):
assert isinstance(num, int)
# If the number is 0, then just return a single null byte.
if num <= 0:
return b'\0'
# Otherwise...
result_bytes_reversed = []
while num > 0:
# Find the right-most seven bits in the integer.
current_seven_bit_segment = num & 0b1111111
# Change the left-most bit to a 1.
current_seven_bit_segment |= 0b10000000
# Add that to the result array.
result_bytes_reversed.append(current_seven_bit_segment)
# Chop off the right-most seven bits.
num = num >> 7
# Change the left-most bit in the lowest-order byte (which is first in the list) back to a 0.
result_bytes_reversed[0] &= 0b1111111
# Un-reverse the order of the bytes and convert the list into a byte string.
return bytes(reversed(result_bytes_reversed))
def decode(byte_array):
assert isinstance(byte_array, bytes)
result = 0
for part in byte_array:
# Shift the result over by seven bits.
result = result << 7
# Add in the right-most seven bits from this part.
result |= (part & 0b1111111)
return result
Here are two functions for working with lists of ints:
def encode_many(nums):
return [encode(num) for num in nums]
def decode_many(byte_array):
parts = []
# Split the byte array after each byte where the left-most bit is 0.
start = 0
for i, b in enumerate(byte_array):
# Check whether the left-most bit in this byte is 0.
if not (b & 0b10000000):
# Copy everything up to here into a new part.
parts.append(byte_array[start:(i+1)])
start = i + 1
return [decode(part) for part in parts]
The densest possible way without knowing more about the numbers would be 256 bits per number (32 bytes).
You can store them right after one another.
A function to write to a file might look like this:
def write_numbers(numbers, file):
for n in numbers:
file.write(n.to_bytes(32, 'big'))
with open('file_name', 'wb') as f:
write_numbers(get_numbers(), f)
And to read the numbers, you can make a function like this:
def read_numbers(file):
while True:
read = file.read(32)
if not read:
break
yield int.from_bytes(read, 'big')
with open('file_name', 'rb') as f:
for n in read_numbers(f):
do_stuff(n)

STL binary file reader with Python

I'm trying to write my "personal" python version of STL binary file reader, according to WIKIPEDIA : A binary STL file contains :
an 80-character (byte) headern which is generally ignored.
a 4-byte unsigned integer indicating the number of triangular facets in the file.
Each triangle is described by twelve 32-bit floating-point numbers: three for the normal and then three for the X/Y/Z coordinate of each vertex – just as with the ASCII version of STL. After these follows a 2-byte ("short") unsigned integer that is the "attribute byte count" – in the standard format, this should be zero because most software does not understand anything else. --Floating-point numbers are represented as IEEE floating-point numbers and are assumed to be little-endian--
Here is my code :
#! /usr/bin/env python3
with open("stlbinaryfile.stl","rb") as fichier :
head=fichier.read(80)
nbtriangles=fichier.read(4)
print(nbtriangles)
The output is :
b'\x90\x08\x00\x00'
It represents an unsigned integer, I need to convert it without using any package (struct,stl...). Are there any (basic) rules to do it ?, I don't know what does \x mean ? How does \x90 represent one byte ?
most of the answers in google mention "C structs", but I don't know nothing about C.
Thank you for your time.
Since you're using Python 3, you can use int.from_bytes. I'm guessing the value is stored little-endian, so you'd just do:
nbtriangles = int.from_bytes(fichier.read(4), 'little')
Change the second argument to 'big' if it's supposed to be big-endian.
Mind you, the normal way to parse a fixed width type is the struct module, but apparently you've ruled that out.
For the confusion over the repr, bytes objects will display ASCII printable characters (e.g. a) or standard ASCII escapes (e.g. \t) if the byte value corresponds to one of them. If it doesn't, it uses \x##, where ## is the hexadecimal representation of the byte value, so \x90 represents the byte with value 0x90, or 144. You need to combine the byte values at offsets to reconstruct the int, but int.from_bytes does this for you faster than any hand-rolled solution could.
Update: Since apparent int.from_bytes isn't "basic" enough, a couple more complex, but only using top-level built-ins (not alternate constructors) solutions. For little-endian, you can do this:
def int_from_bytes(inbytes):
res = 0
for i, b in enumerate(inbytes):
res |= b << (i * 8) # Adjust each byte individually by 8 times position
return res
You can use the same solution for big-endian by adding reversed to the loop, making it enumerate(reversed(inbytes)), or you can use this alternative solution that handles the offset adjustment a different way:
def int_from_bytes(inbytes):
res = 0
for b in inbytes:
res <<= 8 # Adjust bytes seen so far to make room for new byte
res |= b # Mask in new byte
return res
Again, this big-endian solution can trivially work for little-endian by looping over reversed(inbytes) instead of inbytes. In both cases inbytes[::-1] is an alternative to reversed(inbytes) (the former makes a new bytes in reversed order and iterates that, the latter iterates the existing bytes object in reverse, but unless it's a huge bytes object, enough to strain RAM if you copy it, the difference is pretty minimal).
The typical way to interpret an integer is to use struct.unpack, like so:
import struct
with open("stlbinaryfile.stl","rb") as fichier :
head=fichier.read(80)
nbtriangles=fichier.read(4)
print(nbtriangles)
nbtriangles=struct.unpack("<I", nbtriangles)
print(nbtriangles)
If you are allergic to import struct, then you can also compute it by hand:
def unsigned_int(s):
result = 0
for ch in s[::-1]:
result *= 256
result += ch
return result
...
nbtriangles = unsigned_int(nbtriangles)
As to what you are seeing when you print b'\x90\x08\x00\x00'. You are printing a bytes object, which is an array of integers in the range [0-255]. The first integer has the value 144 (decimal) or 90 (hexadecimal). When printing a bytes object, that value is represented by the string \x90. The 2nd has the value eight, represented by \x08. The 3rd and final integers are both zero. They are presented by \x00.
If you would like to see a more familiar representation of the integers, try:
print(list(nbtriangles))
[144, 8, 0, 0]
To compute the 32-bit integers represented by these four 8-bit integers, you can use this formula:
total = byte0 + (byte1*256) + (byte2*256*256) + (byte3*256*256*256)
Or, in hex:
total = byte0 + (byte1*0x100) + (byte2*0x10000) + (byte3*0x1000000)
Which results in:
0x00000890
Perhaps you can see the similarities to decimal, where the string "1234" represents the number:
4 + 3*10 + 2*100 + 1*1000

in Python, trying to convert integer to character and put in a binary "string"

In Python 3.3 I need to convert an integer into the middle of three bytes to send it over a serial connection.
That is, I need to have a value of: b'\x4c\x00\x46', except that the \x00 byte will need to take the single-byte value of an integer variable that may vary from 0 to 255. I thought chr(value) would work, but that gives a string rather than a byte.
For example, if value is 255, I want to get b'\x4c\xff\x46'.
Using bytearray:
>>> b'\x4c\x00\x46'
b'L\x00F'
>>> a = bytearray(b'\x4c\x00\x46')
>>> a[1] = 255
>>> a
bytearray(b'L\xffF')
>>> bytes(a)
b'L\xffF'
You can also use list in place of bytearray. But using list does not work in Python 2.x.

How to convert hexadecimal string to bytes in Python?

I have a long Hex string that represents a series of values of different types. I need to convert this Hex String into bytes or bytearray so that I can extract each value from the raw data. How can I do this?
For example, the string "ab" should convert to the bytes b"\xab" or equivalent byte array. Longer example:
>>> # what to use in place of `convert` here?
>>> convert("8e71c61de6a2321336184f813379ec6bf4a3fb79e63cd12b")
b'\x8eq\xc6\x1d\xe6\xa22\x136\x18O\x813y\xeck\xf4\xa3\xfby\xe6<\xd1+'
Suppose your hex string is something like
>>> hex_string = "deadbeef"
Convert it to a bytearray (Python 3 and 2.7):
>>> bytearray.fromhex(hex_string)
bytearray(b'\xde\xad\xbe\xef')
Convert it to a bytes object (Python 3):
>>> bytes.fromhex(hex_string)
b'\xde\xad\xbe\xef'
Note that bytes is an immutable version of bytearray.
Convert it to a string (Python ≤ 2.7):
>>> hex_data = hex_string.decode("hex")
>>> hex_data
"\xde\xad\xbe\xef"
There is a built-in function in bytearray that does what you intend.
bytearray.fromhex("de ad be ef 00")
It returns a bytearray and it reads hex strings with or without space separator.
provided I understood correctly, you should look for binascii.unhexlify
import binascii
a='45222e'
s=binascii.unhexlify(a)
b=[ord(x) for x in s]
Assuming you have a byte string like so
"\x12\x45\x00\xAB"
and you know the amount of bytes and their type you can also use this approach
import struct
bytes = '\x12\x45\x00\xAB'
val = struct.unpack('<BBH', bytes)
#val = (18, 69, 43776)
As I specified little endian (using the '<' char) at the start of the format string the function returned the decimal equivalent.
0x12 = 18
0x45 = 69
0xAB00 = 43776
B is equal to one byte (8 bit) unsigned
H is equal to two bytes (16 bit) unsigned
More available characters and byte sizes can be found here
The advantages are..
You can specify more than one byte and the endian of the values
Disadvantages..
You really need to know the type and length of data your dealing with
You can use the Codecs module in the Python Standard Library, i.e.
import codecs
codecs.decode(hexstring, 'hex_codec')
You should be able to build a string holding the binary data using something like:
data = "fef0babe"
bits = ""
for x in xrange(0, len(data), 2)
bits += chr(int(data[x:x+2], 16))
This is probably not the fastest way (many string appends), but quite simple using only core Python.
A good one liner is:
byte_list = map(ord, hex_string)
This will iterate over each char in the string and run it through the ord() function. Only tested on python 2.6, not too sure about 3.0+.
-Josh

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