The String, or There and Back Again
Introduction
The String
type in the Julia language supports the full range of Unicode
characters, which is great in practice. Other features that are important
when working with the String
type (especially when you need performance)
are the following:
String
is immutable, but it is not interned (notablySymbol
s are interned and thus can be compared using===
fast);- taking a single character from a
String
produces aChar
, which is a 32-bit value; - Julia Base normally assumes that
String
is UTF-8 encoded which is handy because most likely your source is UTF-8 encoded and in general UTF-8 has a reasonably compact memory footprint (butString
s that contain invalid encodings are allowed to be constructed, and it is possible totranscode
strings).
While I think that the Julia manual Section on Strings does a very
good job explaining how they work I often find that people are confused by the
consequences of UTF-8 encoding of String
and this post is intended to cover
this ground a bit more in depth.
All what I write here was tested under Julia 1.5.
Two types of indices for String
Since String
is UTF-8 encoded one character is represented by 1, 2, 3, or 4
bytes in it, see e.g. Wikipedia for the details of the encoding.
In Julia you can check that indeed one code unit of String
is one byte by
writing (I am storing the String
in the str
variable as we will soon use it
again):
julia> str = "😄 Hello! 👋"
"😄 Hello! 👋"
julia> codeunit(str)
UInt8
Now this string contains 10
characters, which you can check using the
length
function:
julia> length(str)
10
but it is actually stored on more bytes, which the ncodeunits
function tells us:
julia> ncodeunits(str)
16
The reason is that the first and last character in this string are not ASCII (note that in UTF-8 all ASCII characters are stored on one byte), which we can check in the following way:
julia> foreach(c -> println(repr(c), ":\t", ncodeunits(c)), str)
'😄': 4
' ': 1
'H': 1
'e': 1
'l': 1
'l': 1
'o': 1
'!': 1
' ': 1
'👋': 4
Given these observations the natural questions are:
- how to get the
i
-th code unit in theString
(so called byte index); - how to get the
i
-th character in theString
(so called character index); - is is easy to go ‘There and Back Again’ between byte and character indices;
- which functions expect byte indices, which expect character indices and what is the cost of using these functions.
Below I try to answer these questions.
Getting code units
Getting the i
-th code unit is simple (but in practice rarely needed, except
if you are working with strings on low level), you just use the codeunit
function, e.g.:
julia> codeunit(str, 1)
0xf0
julia> codeunit(str, 2)
0x9f
julia> codeunit(str, 3)
0x98
julia> codeunit(str, 4)
0x84
julia> codeunit(str, 5)
0x20
or you can use the codeunits
function to get them as a vector:
julia> codeunits(str)
16-element Base.CodeUnits{UInt8,String}:
0xf0
0x9f
0x98
0x84
0x20
0x48
0x65
0x6c
0x6c
0x6f
0x21
0x20
0xf0
0x9f
0x91
0x8b
Getting characters
Now, this is more tricky:
julia> str[1]
'😄': Unicode U+1F604 (category So: Symbol, other)
julia> str[5]
' ': ASCII/Unicode U+0020 (category Zs: Separator, space)
julia> str[2]
ERROR: StringIndexError("😄 Hello! 👋", 2)
and you see that the getindex
function in the str[i]
syntax does not give
you the i
-th character in the string but rather a character that starts in the
i
-th byte index in the string (and errors if at this given byte index the
character does not start).
So how should one get the i
-th character in the string? Use the nextind
function in the following way:
julia> str[nextind(str, 0, 1)]
'😄': Unicode U+1F604 (category So: Symbol, other)
julia> str[nextind(str, 0, 2)]
' ': ASCII/Unicode U+0020 (category Zs: Separator, space)
where you pass 0
as the first argument and the desired character index as a
second argument.
You might ask why this is so awkward? The reason is that computing the location
of i
-th character in the string is expensive, so normally one should use byte
indexing. Notably, most functions working on strings take byte indices and only
one function — length
— returns number of characters, all other functions
return byte indices or number of bytes (more on this below in the glossary
section).
For example (we store loc
as we will use it later also):
julia> loc = findfirst(==('H'), str)
6
julia> str[loc]
'H': ASCII/Unicode U+0048 (category Lu: Letter, uppercase)
and this is fast.
Be warned though that when you use byte indexing you should not do arithmetics
on them (unless your string is ASCII only, which you can check using the
isascii
function). For instance if you want to go back two characters from H
do not write:
julia> str[loc - 2]
ERROR: StringIndexError("😄 Hello! 👋", 4)
but rather write:
julia> str[prevind(str, loc, 2)]
'😄': Unicode U+1F604 (category So: Symbol, other)
and let prevind
do the calculation of an appropriate byte index. Trying to do
arithmetics on byte indices is the most common error when working with String
s
in Julia.
Finally it is easy to get all byte indices that point to the start of the
character in the string with the eachindex
function:
julia> foreach(i -> println("$i:\t$(repr(str[i]))"), eachindex(str))
1: '😄'
5: ' '
6: 'H'
7: 'e'
8: 'l'
9: 'l'
10: 'o'
11: '!'
12: ' '
13: '👋'
Going there and back again between byte and character indices
If you have a byte index and want to find character index of a character that covers this code unit then write:
julia> length(str, 1, loc)
3
Note that byte index does not have to be a valid start of a character. In this case the index of the character that contains this index is returned:
julia> length(str, 1, 1)
1
julia> length(str, 1, 2)
1
julia> length(str, 1, 3)
1
julia> length(str, 1, 4)
1
julia> length(str, 1, 5)
2
(byte index 5
corresponds to the second character in the string)
If you have a character index and want to learn the byte index of this character
in the String
we already know we should use the nextind
function. For example:
julia> nextind(str, 0, 3)
6
gets you the byte index of 'H'
character in the string.
The glossary
Below I present the list of functions available in Julia Base that work with
strings with a comment if they work with byte or character indices and
information about their time complexity for String
type. I omit the
description what the functions do to keep the table brief and I list only the
functions that either take or return an index or byte/character number.
Funtion | arguments | return value | complexity |
---|---|---|---|
length |
byte index | characters | O(n) |
ncodeunits |
bytes | O(1) | |
sizeof |
bytes | O(1) | |
codeunit |
byte index | O(1) | |
isvalid |
byte index | O(1) | |
getindex |
byte index | O(1) | |
SubString |
byte index | O(1) | |
view , @view |
byte index | O(1) | |
unsafe_string |
byte index | O(1) | |
match |
byte index | O(n) | |
findfirst |
byte index | O(n) | |
findlast |
byte index | O(n) | |
findnext |
byte index | O(n) | |
findprev |
byte index | O(n) | |
firstindex |
byte index | O(1) | |
lastindex |
byte index | O(1) | |
thisind |
byte index | byte index | O(1) |
prevind |
i : byte index, n : characters |
byte index | O(n) |
nextind |
i : byte index, n : characters |
byte index | O(n) |
chop |
character index | O(n) | |
first |
character index | O(n) | |
last |
character index | O(n) | |
lpad |
characters | O(n) | |
rpad |
characters | O(n) | |
textwidth |
screen characters | O(n) |
Note that nextind
and prevind
are O(n)
for n
, but for i
they are
O(1)
as UTF-8 is self-synchronizing. Also, in general, this table gives a very
simplified view of cost of different operations, especially these that involve
two strings — I have just chatted with @StottPJones on Slack about it and if
you are interested in these topics you can reach out to him there.
Conclusions
I must admit that working with the String
type can be sometimes tricky, but I
hope that the summary I have presented in this post will help you easier
navigate through the options.
Finally String
is not the only string type available in the Julia language.
Actually most functions just work with any AbstractString
and there are
alternative string types developed in the community, you can check them out
for example here.