Compute List Difference

Use set if you don't care about items order or repetition. Use list comprehensions if you do:

>>> def diff(first, second):
        second = set(second)
        return [item for item in first if item not in second]

>>> diff(A, B)
[1, 3, 4]
>>> diff(B, A)
[5]
>>> 

You can do a

list(set(A)-set(B))

and

list(set(B)-set(A))

One liner:

diff = lambda l1,l2: [x for x in l1 if x not in l2]
diff(A,B)
diff(B,A)

Or:

diff = lambda l1,l2: filter(lambda x: x not in l2, l1)
diff(A,B)
diff(B,A)

The above examples trivialized the problem of calculating differences. Assuming sorting or de-duplication definitely make it easier to compute the difference, but if your comparison cannot afford those assumptions then you'll need a non-trivial implementation of a diff algorithm. See difflib in the python standard library.

#! /usr/bin/python2
from difflib import SequenceMatcher

A = [1,2,3,4]
B = [2,5]

squeeze=SequenceMatcher( None, A, B )

print "A - B = [%s]"%( reduce( lambda p,q: p+q,
                               map( lambda t: squeeze.a[t[1]:t[2]],
                                    filter(lambda x:x[0]!='equal',
                                           squeeze.get_opcodes() ) ) ) )

Or Python3...

#! /usr/bin/python3
from difflib import SequenceMatcher
from functools import reduce

A = [1,2,3,4]
B = [2,5]

squeeze=SequenceMatcher( None, A, B )

print( "A - B = [%s]"%( reduce( lambda p,q: p+q,
                               map( lambda t: squeeze.a[t[1]:t[2]],
                                    filter(lambda x:x[0]!='equal',
                                           squeeze.get_opcodes() ) ) ) ) )

Output:

A - B = [[1, 3, 4]]

Python 2.7.3 (default, Feb 27 2014, 19:58:35) - IPython 1.1.0 - timeit: (github gist)

def diff(a, b):
  b = set(b)
  return [aa for aa in a if aa not in b]

def set_diff(a, b):
  return list(set(a) - set(b))

diff_lamb_hension = lambda l1,l2: [x for x in l1 if x not in l2]

diff_lamb_filter = lambda l1,l2: filter(lambda x: x not in l2, l1)

from difflib import SequenceMatcher
def squeezer(a, b):
  squeeze = SequenceMatcher(None, a, b)
  return reduce(lambda p,q: p+q, map(
    lambda t: squeeze.a[t[1]:t[2]],
      filter(lambda x:x[0]!='equal',
        squeeze.get_opcodes())))

Results:

# Small
a = range(10)
b = range(10/2)

timeit[diff(a, b)]
100000 loops, best of 3: 1.97 µs per loop

timeit[set_diff(a, b)]
100000 loops, best of 3: 2.71 µs per loop

timeit[diff_lamb_hension(a, b)]
100000 loops, best of 3: 2.1 µs per loop

timeit[diff_lamb_filter(a, b)]
100000 loops, best of 3: 3.58 µs per loop

timeit[squeezer(a, b)]
10000 loops, best of 3: 36 µs per loop

# Medium
a = range(10**4)
b = range(10**4/2)

timeit[diff(a, b)]
1000 loops, best of 3: 1.17 ms per loop

timeit[set_diff(a, b)]
1000 loops, best of 3: 1.27 ms per loop

timeit[diff_lamb_hension(a, b)]
1 loops, best of 3: 736 ms per loop

timeit[diff_lamb_filter(a, b)]
1 loops, best of 3: 732 ms per loop

timeit[squeezer(a, b)]
100 loops, best of 3: 12.8 ms per loop

# Big
a = xrange(10**7)
b = xrange(10**7/2)

timeit[diff(a, b)]
1 loops, best of 3: 1.74 s per loop

timeit[set_diff(a, b)]
1 loops, best of 3: 2.57 s per loop

timeit[diff_lamb_filter(a, b)]
# too long to wait for

timeit[diff_lamb_filter(a, b)]
# too long to wait for

timeit[diff_lamb_filter(a, b)]
# TypeError: sequence index must be integer, not 'slice'

@roman-bodnarchuk list comprehensions function def diff(a, b) seems to be faster.

A = [1,2,3,4]
B = [2,5]

#A - B
x = list(set(A) - set(B))
#B - A 
y = list(set(B) - set(A))

print x
print y 

You would want to use a set instead of a list.

In case you want the difference recursively going deep into items of your list, I have written a package for python:

Installation

Install from PyPi:

pip install deepdiff

If you are Python3 you need to also install:

pip install future six