Package Biskit :: Module difflib_old :: Class SequenceMatcher
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Class SequenceMatcher

source code

SequenceMatcher is a flexible class for comparing pairs of sequences of any type, so long as the sequence elements are hashable. The basic algorithm predates, and is a little fancier than, an algorithm published in the late 1980's by Ratcliff and Obershelp under the hyperbolic name "gestalt pattern matching". The basic idea is to find the longest contiguous matching subsequence that contains no "junk" elements (R-O doesn't address junk). The same idea is then applied recursively to the pieces of the sequences to the left and to the right of the matching subsequence. This does not yield minimal edit sequences, but does tend to yield matches that "look right" to people.

SequenceMatcher tries to compute a "human-friendly diff" between two sequences. Unlike e.g. UNIX(tm) diff, the fundamental notion is the longest *contiguous* & junk-free matching subsequence. That's what catches peoples' eyes. The Windows(tm) windiff has another interesting notion, pairing up elements that appear uniquely in each sequence. That, and the method here, appear to yield more intuitive difference reports than does diff. This method appears to be the least vulnerable to synching up on blocks of "junk lines", though (like blank lines in ordinary text files, or maybe "<P>" lines in HTML files). That may be because this is the only method of the 3 that has a *concept* of "junk" <wink>.

Example, comparing two strings, and considering blanks to be "junk":
>>> s = SequenceMatcher(lambda x: x == " ",
...                     "private Thread currentThread;",
...                     "private volatile Thread currentThread;")
>>>
.ratio() returns a float in [0, 1], measuring the "similarity" of the sequences. As a rule of thumb, a .ratio() value over 0.6 means the sequences are close matches:
>>> print round(s.ratio(), 3)
... 0.866
>>>
If you're only interested in where the sequences match, .get_matching_blocks() is handy:
>>> for block in s.get_matching_blocks():
>>>     print "a[%d] and b[%d] match for %d elements" % block
a[0] and b[0] match for 8 elements
a[8] and b[17] match for 6 elements
a[14] and b[23] match for 15 elements
a[29] and b[38] match for 0 elements
>>>

Note that the last tuple returned by .get_matching_blocks() is always a dummy, (len(a), len(b), 0), and this is the only case in which the last tuple element (number of elements matched) is 0.

If you want to know how to change the first sequence into the second, use .get_opcodes():
>>> for opcode in s.get_opcodes():
...     print "%6s a[%d:%d] b[%d:%d]" % opcode
equal a[0:8] b[0:8]
insert a[8:8] b[8:17]
 equal a[8:14] b[17:23]
 equal a[14:29] b[23:38]

See the Differ class for a fancy human-friendly file differencer, which uses SequenceMatcher both to compare sequences of lines, and to compare sequences of characters within similar (near-matching) lines.

See also function get_close_matches() in this module, which shows how simple code building on SequenceMatcher can be used to do useful work.

Timing: Basic R-O is cubic time worst case and quadratic time expected case. SequenceMatcher is quadratic time for the worst case and has expected-case behavior dependent in a complicated way on how many elements the sequences have in common; best case time is linear.

Methods:
   __init__(isjunk=None, a='', b='')
       Construct a SequenceMatcher.

   set_seqs(a, b)
       Set the two sequences to be compared.

   set_seq1(a)
       Set the first sequence to be compared.

   set_seq2(b)
       Set the second sequence to be compared.

   find_longest_match(alo, ahi, blo, bhi)
       Find longest matching block in a[alo:ahi] and b[blo:bhi].

   get_matching_blocks()
       Return list of triples describing matching subsequences.

   get_opcodes()
       Return list of 5-tuples describing how to turn a into b.

   ratio()
       Return a measure of the sequences' similarity (float in [0,1]).

   quick_ratio()
       Return an upper bound on .ratio() relatively quickly.

   real_quick_ratio()
   Return an upper bound on ratio() very quickly.


Instance Methods [hide private]
  __init__(self, isjunk=None, a='', b='')
Construct a SequenceMatcher.
  set_seqs(self, a, b)
Set the two sequences to be compared.
  set_seq1(self, a)
Set the first sequence to be compared.
  set_seq2(self, b)
Set the second sequence to be compared.
  __chain_b(self)
  find_longest_match(self, alo, ahi, blo, bhi)
Find longest matching block in a[alo:ahi] and b[blo:bhi].
  get_matching_blocks(self)
Return list of triples describing matching subsequences.
  __helper(self, alo, ahi, blo, bhi, answer)
  get_opcodes(self)
Return list of 5-tuples describing how to turn a into b.
  ratio(self)
Return a measure of the sequences' similarity (float in [0,1]).
  quick_ratio(self)
Return an upper bound on ratio() relatively quickly.
  real_quick_ratio(self)
Return an upper bound on ratio() very quickly.

Method Details [hide private]

__init__(self, isjunk=None, a='', b='')
(Constructor)

source code 

Construct a SequenceMatcher.

Optional arg isjunk is None (the default), or a one-argument function that takes a sequence element and returns true iff the element is junk. None is equivalent to passing "lambda x: 0", i.e. no elements are considered to be junk. For example, pass lambda x: x in " \t" if you're comparing lines as sequences of characters, and don't want to synch up on blanks or hard tabs.

Optional arg a is the first of two sequences to be compared. By default, an empty string. The elements of a must be hashable. See also .set_seqs() and .set_seq1().

Optional arg b is the second of two sequences to be compared. By default, an empty string. The elements of b must be hashable. See also .set_seqs() and .set_seq2().

set_seqs(self, a, b)

source code 

Set the two sequences to be compared.
>>> s = SequenceMatcher()
>>> s.set_seqs("abcd", "bcde")
>>> s.ratio()
0.75

set_seq1(self, a)

source code 

Set the first sequence to be compared.

The second sequence to be compared is not changed.
>>> s = SequenceMatcher(None, "abcd", "bcde")
>>> s.ratio()
0.75
>>> s.set_seq1("bcde")
>>> s.ratio()
1.0
>>>

SequenceMatcher computes and caches detailed information about the second sequence, so if you want to compare one sequence S against many sequences, use .set_seq2(S) once and call .set_seq1(x) repeatedly for each of the other sequences.

See also set_seqs() and set_seq2().

set_seq2(self, b)

source code 

Set the second sequence to be compared.

The first sequence to be compared is not changed.
>>> s = SequenceMatcher(None, "abcd", "bcde")
>>> s.ratio()
0.75
>>> s.set_seq2("abcd")
>>> s.ratio()
1.0
>>>

SequenceMatcher computes and caches detailed information about the second sequence, so if you want to compare one sequence S against many sequences, use .set_seq2(S) once and call .set_seq1(x) repeatedly for each of the other sequences.

See also set_seqs() and set_seq1().

__chain_b(self)

source code 

find_longest_match(self, alo, ahi, blo, bhi)

source code 

Find longest matching block in a[alo:ahi] and b[blo:bhi].

If isjunk is not defined:
 Return (i,j,k) such that a[i:i+k] is equal to b[j:j+k], where
     alo <= i <= i+k <= ahi
     blo <= j <= j+k <= bhi
 and for all (i',j',k') meeting those conditions,
     k >= k'
     i <= i'
     and if i == i', j <= j'
In other words, of all maximal matching blocks, return one that starts earliest in a, and of all those maximal matching blocks that start earliest in a, return the one that starts earliest in b.
>>> s = SequenceMatcher(None, " abcd", "abcd abcd")
>>> s.find_longest_match(0, 5, 0, 9)
(0, 4, 5)

If isjunk is defined, first the longest matching block is determined as above, but with the additional restriction that no junk element appears in the block. Then that block is extended as far as possible by matching (only) junk elements on both sides. So the resulting block never matches on junk except as identical junk happens to be adjacent to an "interesting" match.

Here's the same example as before, but considering blanks to be junk. That prevents " abcd" from matching the " abcd" at the tail end of the second sequence directly. Instead only the "abcd" can match, and matches the leftmost "abcd" in the second sequence:
>>> s = SequenceMatcher(lambda x: x==" ", " abcd", "abcd abcd")
>>> s.find_longest_match(0, 5, 0, 9)
(1, 0, 4)
If no blocks match, return (alo, blo, 0).
>>> s = SequenceMatcher(None, "ab", "c")
>>> s.find_longest_match(0, 2, 0, 1)
(0, 0, 0)

get_matching_blocks(self)

source code 

Return list of triples describing matching subsequences.

Each triple is of the form (i, j, n), and means that a[i:i+n] == b[j:j+n]. The triples are monotonically increasing in i and in j.

The last triple is a dummy, (len(a), len(b), 0), and is the only triple with n==0.
>>> s = SequenceMatcher(None, "abxcd", "abcd")
>>> s.get_matching_blocks()
[(0, 0, 2), (3, 2, 2), (5, 4, 0)]
>>>

__helper(self, alo, ahi, blo, bhi, answer)

source code 

get_opcodes(self)

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Return list of 5-tuples describing how to turn a into b.

Each tuple is of the form (tag, i1, i2, j1, j2). The first tuple has i1 == j1 == 0, and remaining tuples have i1 == the i2 from the tuple preceding it, and likewise for j1 == the previous j2.

The tags are strings, with these meanings:
  • 'replace': a[i1:i2] should be replaced by b[j1:j2]
  • 'delete': a[i1:i2] should be deleted. Note that j1==j2 in this case.
  • 'insert': b[j1:j2] should be inserted at a[i1:i1]. Note that i1==i2 in this case.
  • 'equal': a[i1:i2] == b[j1:j2]
    >>> a = "qabxcd"
    >>> b = "abycdf"
    >>> s = SequenceMatcher(None, a, b)
    >>> for tag, i1, i2, j1, j2 in s.get_opcodes():
    ...    print ("%7s a[%d:%d] (%s) b[%d:%d] (%s)" %
    ...           (tag, i1, i2, a[i1:i2], j1, j2, b[j1:j2]))
    delete a[0:1] (q) b[0:0] ()
      equal a[1:3] (ab) b[0:2] (ab)
    replace a[3:4] (x) b[2:3] (y)
      equal a[4:6] (cd) b[3:5] (cd)
     insert a[6:6] () b[5:6] (f)
    

ratio(self)

source code 

Return a measure of the sequences' similarity (float in [0,1]).

Where T is the total number of elements in both sequences, and M is the number of matches, this is 2,0*M / T. Note that this is 1 if the sequences are identical, and 0 if they have nothing in common.

.ratio() is expensive to compute if you haven't already computed .get_matching_blocks() or .get_opcodes(), in which case you may want to try .quick_ratio() or .real_quick_ratio() first to get an upper bound.
>>> s = SequenceMatcher(None, "abcd", "bcde")
>>> s.ratio()
0.75
>>> s.quick_ratio()
0.75
>>> s.real_quick_ratio()
1.0

quick_ratio(self)

source code 

Return an upper bound on ratio() relatively quickly.

This isn't defined beyond that it is an upper bound on .ratio(), and is faster to compute.

real_quick_ratio(self)

source code 

Return an upper bound on ratio() very quickly.

This isn't defined beyond that it is an upper bound on .ratio(), and is faster to compute than either .ratio() or .quick_ratio().