Re error invalid group reference 2 at position 1

Groupings and backreferences

This chapter will show how to reuse portions matched by capture groups via backreferences. These can be used within the RE definition as well as the replacement section. You’ll also learn some of the special grouping features for cases where plain capture groups aren’t enough.

Backreference

Backreferences are like variables in a programming language. You have already seen how to use re.Match object to refer to the text captured by groups. Backreferences provide the same functionality, with the advantage that these can be directly used in RE definition as well as the replacement section without having to invoke re.Match objects. Another advantage is that you can apply quantifiers to backreferences.

The syntax is N or g<N> where N is the capture group you want. The below syntax variations are applicable in the replacement section, assuming they are used within raw strings.

• 1, 2 up to 99 to refer to the corresponding capture group
  • provided there are no digit characters after
  • and NNN will be interpreted as octal value
• g<1>, g<2> etc (not limited to 99) to refer to the corresponding capture group
  • this also helps to avoid ambiguity between backreferences and digits that follow
• g<0> to refer to the entire matched portion, similar to index 0 of re.Match objects
  • cannot be used because numbers starting with 0 are treated as octal value

Here are some examples with N syntax.

# remove square brackets that surround digit characters
# note that use of raw strings for the replacement string
>>> re.sub(r'[(d+)]', r'1', '[52] apples [and] [31] mangoes')
'52 apples [and] 31 mangoes'

# replace __ with _ and delete _ if it is alone
>>> re.sub(r'(_)?_', r'1', '_apple_ __123__ _banana_')
'apple _123_ banana'

# swap words that are separated by a comma
>>> re.sub(r'(w+),(w+)', r'2,1', 'good,bad 42,24')
'bad,good 24,42'

And here are some examples with g<N> syntax.

# ambiguity between N and digit characters part of the replacement string
>>> re.sub(r'[(d+)]', r'(15)', '[52] apples and [31] mangoes')
re.error: invalid group reference 15 at position 2
# g<N> is helpful in such cases
>>> re.sub(r'[(d+)]', r'(g<1>5)', '[52] apples and [31] mangoes')
'(525) apples and (315) mangoes'
# or, you can use octal escapes
>>> re.sub(r'[(d+)]', r'(165)', '[52] apples and [31] mangoes')
'(525) apples and (315) mangoes'

# add something around the matched strings using g<0>
>>> re.sub(r'[a-z]+', r'{g<0>}', '[52] apples and [31] mangoes')
'[52] {apples} {and} [31] {mangoes}'

# note the use of '+' instead of '*' quantifier to avoid empty matches
>>> re.sub(r'.+', r'Hi. g<0>. Have a nice day', 'Hello world')
'Hi. Hello world. Have a nice day'

# capture the first field and duplicate it as the last field
>>> re.sub(r'A([^,]+),.+', r'g<0>,1', 'fork,42,nice,3.14')
'fork,42,nice,3.14,fork'

Here are some examples for using backreferences within RE definition. Only N syntax is available for use.

# words that have at least one consecutive repeated character
>>> words = ['effort', 'FLEE', 'facade', 'oddball', 'rat', 'tool', 'a22b']
>>> [w for w in words if re.search(r'(w)1', w)]
['effort', 'FLEE', 'oddball', 'tool', 'a22b']

# remove any number of consecutive duplicate words separated by space
# note the use of quantifier on backreferences
# use W+ instead of space to cover cases like 'a;a<-;a'
>>> re.sub(r'b(w+)( 1)+b', r'1', 'aa a a a 42 f_1 f_1 f_13.14')
'aa a 42 f_1 f_13.14'

Since g<N> syntax is not available in RE definition, use formats like hexadecimal escapes to avoid ambiguity between normal digit characters and backreferences.

>>> s = 'abcdefghijklmna1d'

# even though there's only one capture group, 11 will give an error
>>> re.sub(r'(.).*11', 'X', s)
re.error: invalid group reference 11 at position 6
# use escapes for the digit portion to distinguish from the backreference
>>> re.sub(r'(.).*1x31', 'X', s)
'Xd'

# there are 12 capture groups here, so no error
# but requirement is 1 as backreference and 1 as normal digit
>>> re.sub(r'(.)(.)(.)(.)(.)(.)(.)(.)(.)(.)(.)(.).*11', 'X', s)
'abcdefghijklmna1d'
# use escapes again
>>> re.sub(r'(.)(.)(.)(.)(.)(.)(.)(.)(.)(.)(.)(.).*1x31', 'X', s)
'Xd'

It may be obvious, but it should be noted that backreference will provide the string that was matched, not the RE that was inside the capture group. For example, if (d[a-f]) matches 3b, then backreferencing will give 3b and not any other valid match of RE like 8f, 0a etc. This is akin to how variables behave in programming, only the result of expression stays after variable assignment, not the expression itself. The regex module supports Subexpression calls to refer to the RE itself.

Non-capturing groups

Grouping has many uses like applying quantifiers on a RE portion, creating terse RE by factoring common portions and so on. It also affects the behavior of functions like re.findall() and re.split() as seen in the Working with matched portions chapter.

When backreferencing is not required, you can use a non-capturing group to avoid undesired behavior. It also helps to avoid keeping a track of capture group numbers when that particular group is not needed for backreferencing. The syntax is (?:pat) to define a non-capturing group. You’ll see many more of such special groups starting with (? syntax later on.

# normal capture group will hinder ability to get whole match
# non-capturing group to the rescue
>>> re.findall(r'bw*(?:st|in)b', 'cost akin more east run against')
['cost', 'akin', 'east', 'against']

# capturing wasn't needed here, only common grouping and quantifier
>>> re.split(r'hand(?:y|ful)?', '123hand42handy777handful500')
['123', '42', '777', '500']

# with normal grouping, need to keep track of all the groups
>>> re.sub(r'A(([^,]+,){3})([^,]+)', r'1(3)', '1,2,3,4,5,6,7')
'1,2,3,(4),5,6,7'
# using non-capturing groups, only relevant groups have to be tracked
>>> re.sub(r'A((?:[^,]+,){3})([^,]+)', r'1(2)', '1,2,3,4,5,6,7')
'1,2,3,(4),5,6,7'

Referring to the text matched by a capture group with a quantifier will give only the last match, not the entire match. Use a capture group around the grouping and quantifier together to get the entire matching portion. In such cases, the inner grouping is an ideal candidate to be specified as non-capturing.

>>> s = 'hi 123123123 bye 456123456'
>>> re.findall(r'(123)+', s)
['123', '123']
>>> re.findall(r'(?:123)+', s)
['123123123', '123']
# note that this issue doesn't affect substitutions
>>> re.sub(r'(123)+', 'X', s)
'hi X bye 456X456'

>>> row = 'one,2,3.14,42,five'
# surround only the fourth column with double quotes
# note the loss of columns in the first case
>>> re.sub(r'A([^,]+,){3}([^,]+)', r'1"2"', row)
'3.14,"42",five'
>>> re.sub(r'A((?:[^,]+,){3})([^,]+)', r'1"2"', row)
'one,2,3.14,"42",five'

However, there are situations where capture groups cannot be avoided. In such cases, you’ll have to manually work with re.Match objects to get the desired results.

>>> s = 'effort flee facade oddball rat tool a22b'
# whole words containing at least one consecutive repeated character
>>> repeat_char = re.compile(r'bw*(w)1w*b')

# () in findall will only return the text matched by capture groups
>>> repeat_char.findall(s)
['f', 'e', 'l', 'o', '2']
# finditer to the rescue
>>> m_iter = repeat_char.finditer(s)
>>> [m[0] for m in m_iter]
['effort', 'flee', 'oddball', 'tool', 'a22b']

Named capture groups

RE can get cryptic and difficult to maintain, even for seasoned programmers. There are a few constructs to help add clarity. One such is naming the capture groups and using that name for backreferencing instead of plain numbers. The syntax is (?P<name>pat) for naming the capture groups. The name used should be a valid Python identifier. Use 'name' for re.Match objects, g<name> in replacement section and (?P=name) for backreferencing in RE definition. These will still behave as normal capture groups, so N or g<N> numbering can be used as well.

# giving names to first and second captured words
>>> re.sub(r'(?P<fw>w+),(?P<sw>w+)', r'g<sw>,g<fw>', 'good,bad 42,24')
'bad,good 24,42'

>>> s = 'aa a a a 42 f_1 f_1 f_13.14'
>>> re.sub(r'b(?P<dup>w+)( (?P=dup))+b', r'g<dup>', s)
'aa a 42 f_1 f_13.14'

>>> sentence = 'I bought an apple'
>>> m = re.search(r'(?P<fruit>w+)Z', sentence)
>>> m[1]
'apple'
>>> m['fruit']
'apple'
>>> m.group('fruit')
'apple'

You can use the groupdict() method on the re.Match object to extract the portions matched by named capture groups as a dict object. The capture group name will be the key and the portion matched by the group will be the value.

# single match
>>> details = '2018-10-25,car,2346'
>>> re.search(r'(?P<date>[^,]+),(?P<product>[^,]+)', details).groupdict()
{'date': '2018-10-25', 'product': 'car'}

# normal groups won't be part of the output
>>> re.search(r'(?P<date>[^,]+),([^,]+)', details).groupdict()
{'date': '2018-10-25'}

# multiple matches
>>> s = 'good,bad 42,24'
>>> [m.groupdict() for m in re.finditer(r'(?P<fw>w+),(?P<sw>w+)', s)]
[{'fw': 'good', 'sw': 'bad'}, {'fw': '42', 'sw': '24'}]

Atomic grouping

(?>pat) is an atomic group, where pat is the pattern you want to safeguard from further backtracking. You can think of it as a special group that is isolated from the other parts of the regular expression.

Here’s an example with greedy quantifier:

>>> numbers = '42 314 001 12 00984'

# 0* is greedy and the (?>) grouping prevents backtracking
# same as: re.findall(r'0*+d{3,}', numbers)
>>> re.findall(r'(?>0*)d{3,}', numbers)
['314', '00984']

Here’s an example with non-greedy quantifier:

>>> ip = 'fig::mango::pineapple::guava::apples::orange'

# this matches from the first '::' to the first occurrence of '::apple'
>>> re.search(r'::.*?::apple', ip)[0]
'::mango::pineapple::guava::apple'

# '(?>::.*?::)' will match only from '::' to the very next '::'
# '::mango::' fails because 'apple' isn't found afterwards
# similarly '::pineapple::' fails
# '::guava::' succeeds because it is followed by 'apple'
>>> re.search(r'(?>::.*?::)apple', ip)[0]
'::guava::apple'

The regex module has a feature to match from right-to-left making it better suited than atomic grouping for certain cases. See the regex.REVERSE flag section for some examples.

Conditional groups

This special grouping allows you to add a condition that depends on whether a capture group succeeded in matching. You can also add an optional else condition. The syntax as per the docs is shown below.

(?(id/name)yes-pattern|no-pattern)

Here id means the N used to backreference a capture group and name refers to the identifier used for a named capture group. Here’s an example with yes-pattern alone being used. The task is to match elements containing word characters only or if it additionally starts with a double quote, it must end with a double quote.

>>> words = ['"hi"', 'bye', 'bad"', '"good"', '42', '"3']
>>> pat = re.compile(r'(")?w+(?(1)")')
>>> [w for w in words if pat.fullmatch(w)]
['"hi"', 'bye', '"good"', '42']

# for this simple case, you can also expand it manually
# but for complex patterns, it is better to use conditional groups
# as it will avoid repeating the complex pattern
>>> [w for w in words if re.fullmatch(r'"w+"|w+', w)]
['"hi"', 'bye', '"good"', '42']

# cannot simply use ? quantifier as they are independent, not constrained
>>> [w for w in words if re.fullmatch(r'"?w+"?', w)]
['"hi"', 'bye', 'bad"', '"good"', '42', '"3']
# also, fullmatch plays a big role in avoiding partial matches
>>> [w for w in words if pat.search(w)]
['"hi"', 'bye', 'bad"', '"good"', '42', '"3']

Here’s an example with no-pattern as well.

# filter elements containing word characters surrounded by ()
# or, containing word characters separated by a hyphen
>>> words = ['(hi)', 'good-bye', 'bad', '(42)', '-oh', 'i-j', '(-)', '(oh-no)']

# same as: r'(w+)|w+-w+'
>>> pat = re.compile(r'(()?w+(?(1))|-w+)')
>>> [w for w in words if pat.fullmatch(w)]
['(hi)', 'good-bye', '(42)', 'i-j']

Conditional groups have a very specific use case, and it is generally helpful for those cases. The main advantage is that it prevents pattern duplication, although that can also be achieved using Subexpression calls if you use the regex module.

Another issue with the duplication alternation method is that you’ll have to deal with different backreference numbers if the common pattern uses capture groups.

Match.expand()

The expand() method on re.Match objects accepts syntax similar to the replacement section of the re.sub() function. The difference is that the expand() method returns only the string after backreference expansion, instead of the entire input string with the modified content.

# re.sub vs Match.expand
>>> re.sub(r'w(.*)m', r'[1]', 'awesome')
'a[eso]e'
>>> re.search(r'w(.*)m', 'awesome').expand(r'[1]')
'[eso]'

# example with re.finditer
>>> dates = '2023/04/25,1986/03/02,77/12/31'
>>> m_iter = re.finditer(r'([^/]+)/([^/]+)/[^,]+,?', dates)
# same as: [f'Month:{m[2]}, Year:{m[1]}' for m in m_iter]
>>> [m.expand(r'Month:2, Year:1') for m in m_iter]
['Month:04, Year:2023', 'Month:03, Year:1986', 'Month:12, Year:77']

Cheatsheet and Summary

This chapter showed how to use backreferences to refer to the portion matched by capture groups in both RE definition and replacement sections. When capture groups lead to unwanted behavior change (ex: re.findall() and re.split()), you can use non-capturing groups instead. Named capture groups add clarity to patterns and you can use the groupdict() method on a re.Match object to get a dict of matched portions. Atomic groups help you to isolate a pattern from backtracking effects. Conditional groups allows you to take an action based on another capture group succeeding or failing to match. There are more special groups to be discussed in the coming chapters.

Exercises

a) Replace the space character that occurs after a word ending with a or r with a newline character.

>>> ip = 'area not a _a2_ roar took 22'

>>> print(re.sub())      ##### add your solution here
area
not a
_a2_ roar
took 22

b) Add [] around words starting with s and containing e and t in any order.

>>> ip = 'sequoia subtle exhibit asset sets2 tests si_te'

##### add your solution here
'sequoia [subtle] exhibit asset [sets2] tests [si_te]'

c) Replace all whole words with X that start and end with the same word character (irrespective of case). Single character word should get replaced with X too, as it satisfies the stated condition.

>>> ip = 'oreo not a _a2_ Roar took 22'

##### add your solution here
'X not X X X took X'

d) Convert the given markdown headers to corresponding anchor tags. Consider the input to start with one or more # characters followed by space and word characters. The name attribute is constructed by converting the header to lowercase and replacing spaces with hyphens. Can you do it without using a capture group?

>>> header1 = '# Regular Expressions'
>>> header2 = '## Compiling regular expressions'

##### add your solution here for header1
'# <a name="regular-expressions"></a>Regular Expressions'
##### add your solution here for header2
'## <a name="compiling-regular-expressions"></a>Compiling regular expressions'

e) Convert the given markdown anchors to corresponding hyperlinks.

>>> anchor1 = '# <a name="regular-expressions"></a>Regular Expressions'
>>> anchor2 = '## <a name="subexpression-calls"></a>Subexpression calls'

##### add your solution here for anchor1
'[Regular Expressions](#regular-expressions)'
##### add your solution here for anchor2
'[Subexpression calls](#subexpression-calls)'

f) Count the number of whole words that have at least two occurrences of consecutive repeated alphabets. For example, words like stillness and Committee should be counted but not words like root or readable or rotational.

>>> ip = '''oppressed abandon accommodation bloodless
... carelessness committed apparition innkeeper
... occasionally afforded embarrassment foolishness
... depended successfully succeeded
... possession cleanliness suppress'''

##### add your solution here
13

g) For the given input string, replace all occurrences of digit sequences with only the unique non-repeating sequence. For example, 232323 should be changed to 23 and 897897 should be changed to 897. If there are no repeats (for example 1234) or if the repeats end prematurely (for example 12121), it should not be changed.

>>> ip = '1234 2323 453545354535 9339 11 60260260'

##### add your solution here
'1234 23 4535 9339 1 60260260'

h) Replace sequences made up of words separated by : or . by the first word of the sequence. Such sequences will end when : or . is not followed by a word character.

>>> ip = 'wow:Good:2_two.five: hi-2 bye kite.777:water.'

##### add your solution here
'wow hi-2 bye kite'

i) Replace sequences made up of words separated by : or . by the last word of the sequence. Such sequences will end when : or . is not followed by a word character.

>>> ip = 'wow:Good:2_two.five: hi-2 bye kite.777:water.'

##### add your solution here
'five hi-2 bye water'

j) Split the given input string on one or more repeated sequence of cat.

>>> ip = 'firecatlioncatcatcatbearcatcatparrot'

##### add your solution here
['fire', 'lion', 'bear', 'parrot']

k) For the given input string, find all occurrences of digit sequences with at least one repeating sequence. For example, 232323 and 897897. If the repeats end prematurely, for example 12121, it should not be matched.

>>> ip = '1234 2323 453545354535 9339 11 60260260'

>>> pat = re.compile()      ##### add your solution here

# entire sequences in the output
##### add your solution here
['2323', '453545354535', '11']

# only the unique sequence in the output
##### add your solution here
['23', '4535', '1']

l) Convert the comma separated strings to corresponding dict objects as shown below. The keys are name, maths and phy for the three fields in the input strings.

>>> row1 = 'rohan,75,89'
>>> row2 = 'rose,88,92'

>>> pat = re.compile()      ##### add your solution here

##### add your solution here for row1
{'name': 'rohan', 'maths': '75', 'phy': '89'}
##### add your solution here for row2
{'name': 'rose', 'maths': '88', 'phy': '92'}

m) Surround all whole words with (). Additionally, if the whole word is imp or ant, delete them. Can you do it with just a single substitution?

>>> ip = 'tiger imp goat eagle ant important'

##### add your solution here
'(tiger) () (goat) (eagle) () (important)'

n) Filter all elements that contain a sequence of lowercase alphabets followed by - followed by digits. They can be optionally surrounded by {{ and }}. Any partial match shouldn’t be part of the output.

>>> ip = ['{{apple-150}}', '{{mango2-100}}', '{{cherry-200', 'grape-87']

##### add your solution here
['{{apple-150}}', 'grape-87']

o) The given input string has sequences made up of words separated by : or . and such sequences will end when : or . is not followed by a word character. For all such sequences, display only the last word followed by - followed by the first word.

>>> ip = 'wow:Good:2_two.five: hi-2 bye kite.777:water.'

##### add your solution here
['five-wow', 'water-kite']

p) Modify the given regular expression such that it gives the expected result.

>>> ip = '( S:12 E:5 S:4 and E:123 ok S:100 & E:10 S:1 - E:2 S:42 E:43 )'

# wrong output
>>> re.findall(r'S:d+.*?E:d{2,}', ip)
['S:12 E:5 S:4 and E:123', 'S:100 & E:10', 'S:1 - E:2 S:42 E:43']

# expected output
##### add your solution here
['S:4 and E:123', 'S:100 & E:10', 'S:42 E:43']