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>Chapter 13. Arithmetic Expansion</H1
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></A
>Arithmetic expansion provides a
powerful tool for performing (integer) arithmetic
operations in scripts. Translating a string into a
numerical expression is relatively straightforward using
<I
CLASS="FIRSTTERM"
>backticks</I
>, <I
CLASS="FIRSTTERM"
>double
parentheses</I
>, or <I
CLASS="FIRSTTERM"
>let</I
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>Variations</B
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>Arithmetic expansion with <A
HREF="commandsub.html#BACKQUOTESREF"
>backticks</A
> (often used in
conjunction with <A
HREF="moreadv.html#EXPRREF"
>expr</A
>)</DT
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CLASS="PROGRAMLISTING"
>z=`expr $z + 3` # The 'expr' command performs the expansion.</PRE
></FONT
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></P
></DD
><DT
>Arithmetic expansion with <A
HREF="dblparens.html"
>double
parentheses</A
>, and using <A
HREF="internal.html#LETREF"
>let</A
></DT
><DD
><P
>The use of <I
CLASS="FIRSTTERM"
>backticks</I
>
(<I
CLASS="FIRSTTERM"
>backquotes</I
>) in arithmetic
expansion has been superseded by <I
CLASS="FIRSTTERM"
>double
parentheses</I
> --
<TT
CLASS="USERINPUT"
><B
>((...))</B
></TT
> and
<TT
CLASS="USERINPUT"
><B
>$((...))</B
></TT
> -- and also by the very
convenient <A
HREF="internal.html#LETREF"
>let</A
> construction.</P
><P
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><PRE
CLASS="PROGRAMLISTING"
>z=$(($z+3))
z=$((z+3)) # Also correct.
# Within double parentheses,
#+ parameter dereferencing
#+ is optional.
# $((EXPRESSION)) is arithmetic expansion. # Not to be confused with
#+ command substitution.
# You may also use operations within double parentheses without assignment.
n=0
echo "n = $n" # n = 0
(( n += 1 )) # Increment.
# (( $n += 1 )) is incorrect!
echo "n = $n" # n = 1
let z=z+3
let "z += 3" # Quotes permit the use of spaces in variable assignment.
# The 'let' operator actually performs arithmetic evaluation,
#+ rather than expansion.</PRE
></FONT
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>
</P
><P
>Examples of arithmetic expansion in scripts:
<P
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><A
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>Example 16-9</A
></P
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>Example 11-15</A
></P
></LI
><LI
><P
><A
HREF="arrays.html#EX66"
>Example 27-1</A
></P
></LI
><LI
><P
><A
HREF="arrays.html#BUBBLE"
>Example 27-11</A
></P
></LI
><LI
><P
><A
HREF="contributed-scripts.html#TREE"
>Example A-16</A
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