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%% \CheckSum{41928}
%% \CharacterTable
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%%   Digits        \0\1\2\3\4\5\6\7\8\9
%%   Exclamation   \!     Double quote  \"     Hash (number) \#
%%   Dollar        \$     Percent       \%     Ampersand     \&
%%   Acute accent  \'     Left paren    \(     Right paren   \)
%%   Asterisk      \*     Plus          \+     Comma         \,
%%   Minus         \-     Point         \.     Solidus       \/
%%   Colon         \:     Semicolon     \;     Less than     \<
%%   Equals        \=     Greater than  \>     Question mark \?
%%   Commercial at \@     Left bracket  \[     Backslash     \\
%%   Right bracket \]     Circumflex    \^     Underscore    \_
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%%   Right brace   \}     Tilde         \~}
%%
\documentclass{article}
\usepackage{wrapfig}
\usepackage{bidi}
\newcommand\sample{Some text for our page
  that might get reused over and over again. }
\begin{document}
\section{LTR}
\begin{wraptable}[4]{l}{4cm}
 \centering
\fbox{This is ``wraptable''.}
 \caption{The Caption}\label{T1}
\end{wraptable}

\sample \sample Reference to Table~\ref{T1}.
\sample

\section{RTL}
\setRTL

\begin{wraptable}[4]{r}{4cm}
 \centering
\fbox{This is ``wraptable''.}
 \caption{The Caption}\label{T2}
\end{wraptable}

\sample \sample Reference to Table~\ref{T2}.
\sample
\end{document}