Reputation: 3577
I having a list of tuple as describes below (This tuple is sorted in decreasing order of the second value):
from string import ascii_letters
myTup = zip (ascii_letters, range(10)[::-1])
threshold = 5.5
>>> myTup
[('a', 9), ('b', 8), ('c', 7), ('d', 6), ('e', 5), ('f', 4), ('g', 3), ('h', 2), \
('i', 1), ('j', 0)]
Given a threshold, what is the best possible way to discard all tuples having the second value less than this threshold.
I am having more than 5 million tuples and thus don't want to perform comparison tuple by tuple basis and consequently delete or add to another list of tuples.
Upvotes: 4
Views: 15348
Reputation: 151007
Since the tuples are sorted, you can simply search for the first tuple with a value lower than the threshold, and then delete the remaining values using slice notation:
index = next(i for i, (t1, t2) in enumerate(myTup) if t2 < threshold)
del myTup[index:]
As Vaughn Cato points out, a binary search would speed things up even more. bisect.bisect
would be useful, except that it won't work with your current data structure unless you create a separate key sequence, as documented here. But that violates your prohibition on creating new lists.
Still, you could use the source code as the basis for your own binary search. Or, you could change your data structure:
>>> myTup
[(0, 'a'), (1, 'b'), (2, 'c'), (3, 'd'), (4, 'e'), (5, 'f'),
(6, 'g'), (7, 'h'), (8, 'i'), (9, 'j')]
>>> index = bisect.bisect(myTup, (threshold, None))
>>> del myTup[:index]
>>> myTup
[(6, 'g'), (7, 'h'), (8, 'i'), (9, 'j')]
The disadvantage here is that the deletion may occur in linear time, since Python will have to shift the entire block of memory back... unless Python is smart about deleting slices that start from 0
. (Anyone know?)
Finally, if you're really willing to change your data structure, you could do this:
[(-9, 'a'), (-8, 'b'), (-7, 'c'), (-6, 'd'), (-5, 'e'), (-4, 'f'),
(-3, 'g'), (-2, 'h'), (-1, 'i'), (0, 'j')]
>>> index = bisect.bisect(myTup, (-threshold, None))
>>> del myTup[index:]
>>> myTup
[(-9, 'a'), (-8, 'b'), (-7, 'c'), (-6, 'd')]
(Note that Python 3 will complain about the None
comparison, so you could use something like (-threshold, chr(0))
instead.)
My suspicion is that the linear time search I suggested at the beginning is acceptable in most circumstances.
Upvotes: 7
Reputation: 21
Here's an exotic approach that wraps the list in a list-like object before performing bisect.
import bisect
def revkey(items):
class Items:
def __getitem__(self, index):
assert 0 <= index < _len
return items[_max-index][1]
def __len__(self):
return _len
def bisect(self, value):
return _len - bisect.bisect_left(self, value)
_len = len(items)
_max = _len-1
return Items()
tuples = [('a', 9), ('b', 8), ('c', 7), ('d', 6), ('e', 5), ('f', 4), ('g', 3), ('h', 2), ('i', 1), ('j', 0)]
for x in range(-2, 12):
assert len(tuples) == 10
t = tuples[:]
stop = revkey(t).bisect(x)
del t[stop:]
assert t == [item for item in tuples if item[1] >= x]
Upvotes: 2
Reputation: 7149
You can also use itertools
e.g.
from itertools import ifilter
iterable_filtered = ifilter(lambda x : x[1] > threshold, myTup)
If you wanted an iterable filtered list or just:
filtered = filter(lambda x: x[1] > threshold, myTup)
to go straight to a list.
I'm not too familiar with the relative performance of these methods and would have to test them (e.g. in IPython using %timeit).
Upvotes: 0
Reputation: 700
Maybe a bit faster code than of @Curious:
newTup=[]
for tup in myTup:
if tup[1]>threshold:
newTup.append(tup)
else:
break
Because the tuples are ordered, you do not have to go through all of them.
Another possibility would also be, to use bisection, and find the index i
of last element, which is above threshold. Then you would do:
newTup=myTup[:i]
I think the last method would be the fastest.
Upvotes: 1
Reputation: 20339
Given the number of tuples you're dealing with, you may want to consider using NumPy.
Define a structured array like
my_array= np.array(myTup, dtype=[('f0',"|S10"), ('f1',float)])
You can access the second elements of your tuples with myarray['f1']
which gives you a float array. Youcan know use fancy indexing techniques to filter the elements you want, like
my_array[myarray['f1'] < threshold]
keeping only the entries where your f1
is less than your threshold
..
Upvotes: 0