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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<HTML
><HEAD
><TITLE
>Arithmetic Expansion</TITLE
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>Advanced Bash-Scripting Guide: An in-depth exploration of the art of shell scripting</TH
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><DIV
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><H1
><A
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></A
>Chapter 13. Arithmetic Expansion</H1
><P
><A
NAME="ARITHEXPREF"
></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
>.</P
><DIV
CLASS="VARIABLELIST"
><P
><B
><A
NAME="ARITHEXPVAR1"
></A
>Variations</B
></P
><DL
><DT
>Arithmetic expansion with <A
HREF="commandsub.html#BACKQUOTESREF"
>backticks</A
> (often used in
	  conjunction with <A
HREF="moreadv.html#EXPRREF"
>expr</A
>)</DT
><DD
><P
><TABLE
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><TR
><TD
><PRE
CLASS="PROGRAMLISTING"
>   1&nbsp;z=`expr $z + 3`          # The 'expr' command performs the expansion.</PRE
></TD
></TR
></TABLE
></P
></DD
><DT
>Arithmetic expansion with <A
HREF="dblparens.html"
>double
	  parentheses</A
>, and using <A
HREF="internal.html#LETREF"
>let</A
></DT
><DD
><P
>The use of <I
CLASS="FIRSTTERM"
>backticks</I
>
	      (<I
CLASS="FIRSTTERM"
>backquotes</I
>) in arithmetic
	      expansion has been superseded by <I
CLASS="FIRSTTERM"
>double
	      parentheses</I
> --
	      <TT
CLASS="USERINPUT"
><B
>((...))</B
></TT
> and
	      <TT
CLASS="USERINPUT"
><B
>$((...))</B
></TT
> -- and also by the very
	      convenient <A
HREF="internal.html#LETREF"
>let</A
> construction.</P
><P
>	      <TABLE
BORDER="0"
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><TR
><TD
><PRE
CLASS="PROGRAMLISTING"
>   1&nbsp;z=$(($z+3))
   2&nbsp;z=$((z+3))                                  #  Also correct.
   3&nbsp;                                            #  Within double parentheses,
   4&nbsp;                                            #+ parameter dereferencing
   5&nbsp;                                            #+ is optional.
   6&nbsp;
   7&nbsp;# $((EXPRESSION)) is arithmetic expansion.  #  Not to be confused with
   8&nbsp;                                            #+ command substitution.
   9&nbsp;
  10&nbsp;
  11&nbsp;
  12&nbsp;# You may also use operations within double parentheses without assignment.
  13&nbsp;
  14&nbsp;  n=0
  15&nbsp;  echo "n = $n"                             # n = 0
  16&nbsp;
  17&nbsp;  (( n += 1 ))                              # Increment.
  18&nbsp;# (( $n += 1 )) is incorrect!
  19&nbsp;  echo "n = $n"                             # n = 1
  20&nbsp;
  21&nbsp;
  22&nbsp;let z=z+3
  23&nbsp;let "z += 3"  #  Quotes permit the use of spaces in variable assignment.
  24&nbsp;              #  The 'let' operator actually performs arithmetic evaluation,
  25&nbsp;              #+ rather than expansion.</PRE
></TD
></TR
></TABLE
>
	    </P
><P
>Examples of arithmetic expansion in scripts:
       <OL
TYPE="1"
><LI
><P
><A
HREF="moreadv.html#EX45"
>Example 16-9</A
></P
></LI
><LI
><P
><A
HREF="loops.html#EX25"
>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
></P
></LI
></OL
>
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