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← Revision 26 as of 20140213 18:16:48 ⇥
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{{{(( ))}}} without the leading {{{$}}} is not a standard sh feature. It comes from ksh and is only available in ksh, Bash and zsh. {{{$(( ))}}} substitution is allowed in the POSIX shell. As one would expect, the result of the arithmetic expression inside the {{{$(( ))}}} is substituted into the original command. Like for parameter substitution, arithmetic substitution is subject to work splitting so should be quoted to prevent it when in list contexts. Here are some examples of the use of the arithmetic substitution syntax:  {{{(( ))}}} without the leading {{{$}}} is not a standard sh feature. It comes from ksh and is only available in ksh, Bash and zsh. {{{$(( ))}}} substitution is allowed in the POSIX shell. As one would expect, the result of the arithmetic expression inside the {{{$(( ))}}} is substituted into the original command. Like for parameter substitution, arithmetic substitution is subject to word splitting so should be quoted to prevent it when in list contexts. Here are some examples of the use of the arithmetic substitution syntax: 
Arithmetic in BASH is integer math only. You can't do floating point math in Bash; if you need that capability, see Bash FAQ #22.
Also see the Bash hackers article about the full syntax theory. The $[ ] syntax is deprecated
There are several ways to tell Bash to treat numbers as integers instead of strings, and to do basic arithmetic operations on them. The first is to use the let command:
let a=17+23 echo "a = $a" # Prints a = 40
Note that each arithmetic expression has to be passed as a single argument to the let command, so you need quotes if there are spaces or globbing characters, thus:
let a=17 + 23 # WRONG let a="17 + 23" # Right let 'a = 17 + 23' # Right let a=17 a+=23 # Right (2 arithmetic expressions) let a[1]=1+1 # Wrong (try after touch a1=1+1 or with shopt s failglob) let 'a[1]=1+1' # Right let a\[1]=1+1 # Right
Division in Bash is integer division, and it truncates the results, just as in C:
let a=28/6 echo "a = $a" # Prints a = 4
In addition to the let command, one may use the (( )) syntax to enforce an arithmetic context. If there is a $ (dollar sign) before the parentheses, then a substitution is performed (more on this below). White space is allowed inside (( )) with much greater leniency than with let, and variables inside (( )) don't require $ (because string literals aren't allowed). Examples:
((a=$a+7)) # Add 7 to a ((a = a + 7)) # Add 7 to a. Identical to the previous command. ((a += 7)) # Add 7 to a. Identical to the previous command. ((a = RANDOM % 10 + 1)) # Choose a random number from 1 to 10. # % is modulus, as in C. # (( )) may also be used as a command. > or < inside (( )) means # greater/less than, not output/input redirection. if ((a > 5)); then echo "a is more than 5"; fi
(( )) without the leading $ is not a standard sh feature. It comes from ksh and is only available in ksh, Bash and zsh. $(( )) substitution is allowed in the POSIX shell. As one would expect, the result of the arithmetic expression inside the $(( )) is substituted into the original command. Like for parameter substitution, arithmetic substitution is subject to word splitting so should be quoted to prevent it when in list contexts. Here are some examples of the use of the arithmetic substitution syntax:
a=$((a+7)) # POSIXcompatible version of previous code. if test "$((a%4))" = 0; then ... lvcreate L "$((4*1096))" n lvname vgname # Actual HPUX example.
Variables may be declared as integers so that any subsequent assignments to them will always assume a numeric context. Essentially any variable that's declared as an integer acts as if you had a let command in front of it when you assign to it. For example:
unset b # Forget any previous declarations b=7+5; echo "$b" # Prints 7+5 declare i b # Declare b as an integer b=7+5; echo "$b" # Prints 12
Also, array indices are a numeric context:
n=0 while read line; do array[n++]=$line # array[] forces a numeric context done
There is one common pitfall with arithmetic expressions in Bash: numbers with leading zeroes are treated as octal. For example,
# Suppose today is September 19th. month=$(date +%m) next_month=$(( (month == 12) ? 1 : month+1 )) # bash: 09: value too great for base (error token is "09")
This causes great confusion among people who are extracting zeropadded numbers from various sources (although dates are by far the most common) and then doing math on them without sanitizing them first. (It's especially bad if you write a program like this in March, test it, roll it out... and then it doesn't blow up until August 1.)
If you have leadingzero problems with Bash's builtin arithmetic, there are two possible solutions. The first is, obviously, to remove the leading zeroes from the numbers before doing math with them. This is not trivial in Bash, unfortunately, because Bash has no ability to perform substitutions on a variable using regular expressions (it can only do it with "glob" patterns). But you could use a loop:
# This removes leading zeroes from a, one at a time. while [[ $a = 0* ]]; do a=${a#0}; done
You can do the above without using a loop, by using extended globs; see FAQ #67 for more information. Or, you could use sed; that may be more efficient if you're reading many numbers from a stream, and can arrange to sanitize them all in one command, rather than one by one.
Without a loop:
# This removes leading zeroes from a, all at once. a=${a##+(0)}
The third solution is to force Bash to treat all numbers as base 10 by prefixing them with 10#. This might be more efficient, but also may be less elegant to read.
a=008 let b=a+1 # Generates an error because 008 is not valid in octal. let b=10#$a+1 # Force a to be treated as base 10. Note: the $ is required.
Finally, a note on the exit status of commands, and the notions of "true" and "false", is in order. When bash runs a command, that command will return an exit status from 0 to 255. 0 is considered "success" (which is "true" when used in the context of an if or while command). However, in an arithmetic context, there are places where the C language rules (0 is false, anything else is true) apply.
Some examples:
true; echo "$?" # Writes 0, because a successful command returns 0. ((10 > 6)); echo "$?" # Also 0. An arithmetic command returns 0 for true. echo "$((10 > 6))" # Writes 1. An arithmetic expression returns 1 for true.
In addition to a comparison returning 1 for true, an arithmetic expression that evaluates to a nonzero value is also true in the sense of a command.
if ((1)); then echo true; fi # Writes true.
This also lets you use "flag" variables, just like in a C program:
found=0 while ...; do ... if something; then found=1; fi # Found one! Keep going. ... done if ((found)); then ...
Here is a function to convert numbers in other bases to decimal (base 10):
todec() { echo "$(( $1#$2 ))" }
Examples:
todec 16 ffe # > 4094 todec 2 100100 # > 36