%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  Manual for the package delimseasy.sty
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass{amsart}
\usepackage{verbatim}
\usepackage{delimseasy}
 %
 \setcounter{tocdepth}{3}
 \title[delimseasy]{Package delimseasy}
 \author[Graham]{Colin C. Graham}
 \address{PO Box 2031\\Haines Junction YT Canada Y0B 1L0\\\texttt{
 ccgraham@alum.mit.edu}}
\begin{document}

\maketitle
\vskip-.35in 
\centerline{\texttt{ccgraham@alum.mit.edu}}

\bigskip
\centerline{Version 1.0 -- 2015 December 2}

\begin{abstract}  Provides commands to give consistent, easy-to-remember, easy to edit way to control the size  and blackness
 of delimiters: append 1-4 ``b''s to command for larger sizes; prepend ``B'' for boldface. These commands reduce the likelihood 
 of incomplete delimeter pairs and typically use fewer characters than the \LaTeX\ default.
 \end{abstract}
{\smaller
\tableofcontents}

\vskip-.7truein
\section{Installation and the basic delimiters}
Put \texttt{delimseasy.sty} in a convenient folder and
add
\texttt{$\backslash$usepackage\{delimseasy\}}
 to your  preamble. If  \LaTeX \ can't find the \texttt{sty} file,
 move it to the folder of your \texttt{tex} file 
or add a \texttt{PATH} to the \texttt{$\backslash$usepackage} parameter, so you have (for example)
\newline
\texttt{$\backslash$usepackage\{C:/user/YOU/Documents/WHEREYOUPUTIT/delimseasy\}}.

\medskip
Here are the basic macros:
\begin{equation*}
\begin{matrix}
\text{the macro}&	\quad\text{ typesets like }&\quad \text{common name}\\
\backslash\texttt{prn[1]}  &\texttt{(\#1)}                                     &\text{round parens}\\
\backslash\texttt{sqpr[1]} &\texttt{[\#1]}                                     &\text{square braces}\\
\backslash\texttt{crl[1]}  &\{\texttt{\#1} \}                                  &\text{curly braces}\\
\backslash\texttt{ceil[1]} &\backslash\texttt{lceil \#1} \backslash\texttt{rceil}&\text{ceiling}\\        
\backslash\texttt{flr[1]}  &\backslash\texttt{lfloor \#1}\backslash\texttt{rfloor}&\text{floor}\\
\backslash\texttt{ngl[1]}  &\backslash\texttt{langle \#1}\backslash\texttt{rangle}&\text{langle/rangle}\\
\backslash\texttt{abs[1]}  &\backslash\texttt{vert \#1} \backslash\texttt{vert}  &\text{absolute value}\\
\backslash\texttt{nrm[1]}  &\backslash\texttt{Vert \#1}  \backslash\texttt{Vert}    &\text{norm}\\
\backslash\texttt{stgt[1]} &\texttt{< \#1>}                               & \text{lessthan greaterthan}
\end{matrix}
\end{equation*}

\subsection{Adding ``b''s to change the size}
Add one to four ``b''s to the end of a macro; each ``b'' raises size by one step. Example:
\texttt{$\backslash$prnb$\{x\widehat\ 2-1\}$} gives $\prnb{x^2-1}$.

\subsection{Adding ``l'' or ``r'' for one-sided delimiters}
Prepend ``l'' (ell) or ``r'' to the front of the macro (after the backslash) for the single sided (\textbf{l}eft or \textbf{r}ight).  These macros take no parameter. Example: \texttt{$\backslash$lprnb}
gives $\lprnb$.

\subsection{Prepending a ``B'' for  boldface}
Prepend a capital ``B'' to the front of the  macro for boldface (poor man's bold); if
the macro is already a left or right, the ``B'' must preceed the ``l'' or ``r''. Needs a parameter if the
non-bolded macro does. Example: \texttt{$\backslash$Blprnb} gives $\Blprnb$

 \subsection{Warnings about paired delimeters}
 The paired delimeter macros take as a single parameter the expression to be inside of the pair. 
 Curley brackets around the expression will be essential here, as always in \LaTeX.
 See the examples below.
 
 Paired delimiters cause an error if the alignment ampersand \& is used between them.
 The same issue arises with \texttt{$\backslash$left( --- \& -- $\backslash$right}), as you may have discovered.
 There may be other formatting characters which break paired delimeters; please let me know if you
 encounter an instance.
 
 \subsubsection{Workarounds to the \& problem}
 \begin{enumerate}
 \item Rewrite. If you don't like the looks of
 \begin{align*}
 \int \text{A very very very very long  expression }&\le \text{ a shorter one}\\
 &\le\text{ another short one}\\
 &=\text{the final expression}
 \end{align*}
 perhaps you can break up the computations into smaller pieces so that you end with something like,
 `` putting (3.12)-(3.36) together we see that
 \[
 \int \text{A very very very very long  expression }\le \text{the final expression}.\text{''}
 \]
 
 \item Use the left-right versions of the delimiters. They do not have the ampersand
  problem that the two-sided versions and
 $\backslash$\texttt{left\dots$\backslash$right} do.
 
 \item Use $\backslash$\texttt{phantom}
  \begin{verbatim}
 &\int \text{A very very very very long  expression }
      \le \text{ a shorter one}\\
 &\phantom{\int \text{A very }}\le\text{the final expression}
  \end{verbatim}
  to get
 \begin{align*}
 &\int \text{A very very very very long  expression }
      \le \text{ a shorter one}\\
 &\phantom{\int \text{A very }}\le\text{the final expression}
  \end{align*}
 \end{enumerate}


\section{Examples}
\begin{enumerate}


\item Here are two versions of the same display. The first uses $\backslash$\texttt{left $\backslash$right}; the
second $\backslash$\texttt{sqprbbb}.
I prefer the second one for being smaller, neater and using less typing. It's also much easier to change the size of the
 second (add or remove a \texttt{b}) than the first (replace \texttt{$\backslash$left[...$\backslash$right]} with
  \texttt{$\backslash$bigg[...$\backslash$bigg]}).
 \[
 \left[ \sum_n\frac{x_n}{y_n}\right]^{1/2}\quad \sqprbbb{\sum_n\frac{x_n}{y_n}}^{1/2}
 \]
 
 \item Bold vs. default:
 \[
  \Bprnbb{\frac x{x^2+1}} \quad  \prnbb{\frac x{x^2+1}} \quad
  \Bcrlbb{\frac x{x^2+1}} \quad  \crlbb{\frac x{x^2+1}} 
 \]
 
 \medbreak
 \item
 \begin{verbatim}\sqprbbb{\int_a^b\prnbb{\frac{x+1}{x^2+5}}^p  dx}^{1/p}
\text{,\  }\nrmbbbb{\crlbbb{\crlbb{\crlb{\crl{x-y}}}}}\text{ and } 
  \lcrlbbbb\lsqprbbb\labsbb\lprnb \lngl
  \end{verbatim}
  \vskip-.3in
  gives
 \[
 \sqprbbb{\int_a^b\prnbb{\frac{x+1}{x^2+5}}^p  dx}^{1/p} \text{,\  }\nrmbbbb{\crlbbb{\crlbb{\crlb{\crl{x-y}}}}}\text{ and } 
  \lcrlbbbb\lsqprbbb\labsbb\lprnb \lngl
 \]

 \end{enumerate}
 The \texttt{tex} source for this PDF contains more examples, commented out.
 
 \section{Further comments}
 \subsection{An alternate package, \textit{delim}}
 The package \textit{delim} by Stefan Majewsky 
 does things this one does, in a somewhat different way, and may be preferred by many \TeX\ users.
 You can find this package by browsing CTAN under ``D''.
 
 
 \subsection{Reversed parens}
 At one time one saw open intervals expressed as
 \[
 \nrp{a,b} \quad\text{ or }\quad \rpqs{c,d}.
 \]
 This package provides paired delimeters at the 5 sizes, with and without bold face, for those two
 situations. The macros are \texttt{$\backslash$nrp} and \texttt{$\backslash$rpqs}, followed by one to four 
 ``b''s for  larger sizes and prepended by an optional  ``B'' for the bold face versions. No single sided 
 reversed macros are given.
 
 
 \subsection{Adding other delimiters}
 Just copy the model here. In making the $\backslash$\texttt{B}... versions I have used 
 $\backslash$\texttt{pmb} (poor man's bold)
 throughout because $\backslash$\texttt{boldsymbol}, though recommended (e.g., by Gr\"atzer)
 for many situations, 
 does not work for all delimiters, while poor man's bold does.
 
 
\subsection{Easy to remember sizers}
\texttt{delimseasy} includes 
versions of \LaTeX's 
built-ins:
\[\begin{matrix}
\text{New}&\text{\LaTeX\ built-in}\\
   &\texttt{$\backslash$big}\\
\backslash\texttt{bigb}  &\texttt{$\backslash$Big}\\
\backslash\texttt{bigbb} &\texttt{$\backslash$bigg}\\
\backslash\texttt{bigbbb}&\texttt{$\backslash$Bigg}
\end{matrix}\]
 
 \begin{comment}% testing, testing.........
 reverse parens
 \begin{align*}
  \nrp{
 \nrpb{
 \nrpbb{
 \nrpbbb{
 \nrpbbbb{w}}}}}
%%%%%%%%%%%%%
%  reverse bold paired square braces
 \rpqs{
 \rpqsb{
 \rpqsbb{
 \rpqsbbb{
 \rpqsbbbb{z}}}}}
%
\end{align*}
 %
 
 stgt's
 \begin{align*}
& 
\rstgt
\rstgtbb 
\rstgtbbb
\rstgtbbbb 
%%
\Brstgt
\Brstgtb
\Brstgtbb
\Brstgtbbb
\Brstgtbbbb\\
& \stgt{\stgtb{\stgtbb{\stgtbbb{\stgtbbbb{w}}}}}\\
&\Bstgt{\Bstgtb{\Bstgtbb{\Bstgtbbb{\Bstgtbbbb{w}}}}}\\
&
\lstgt
\lstgtb
\lstgtbb
\lstgtbbb
\lstgtbbbb
%%
\Blstgt
\Blstgtb
\Blstgtbb
\Blstgtbbb
\Blstgtbbbb
 \end{align*}
 
 parens, etc:
\begin{align*}
\Bprn{\Bprnb{\Bprnbb{\Bprnbb{\Bprnbbb{\Bprnbbb{}}}}}}&\quad\
\end{align*}\begin{align*}
 \Bsqpr{\Bsqprb{\Bsqprbb{\Bsqprbbb{\Bsqprbbbb{x}}}}}\\
 \end{align*}\begin{align*}
\Bcrl{\Bcrlb{\Bcrlbb{\Bcrlbbb{\Bcrlbbbb{z}}}}}
\end{align*}\begin{align*}
&\quad
\Bflr{\Bflrb{\Bflrbb{\Bflrbbb{\Bflrbbb{47}}}}}\\
\Bceil{\Bceilb{\Bceilbb{\Bceilbbb{\Bceilbbbb{2}}}}}&\quad\Bnglbbbb{\Bnglbbb{\Bnglbb{\Bnglb{\Bngl{x|y}}}}}\\
\end{align*}
\begin{align*}
\Babsbbbb{\Babsbbb{\Babsbb{\Babsb{\Babs{f}}}}}&\quad \Bnrmbbbb{\Bnrmbbb{\Bnrmbb{\Bnrmb{\Bnrm{z}}}}}\\
%\cardbbbb{\cardbbb{\cardbb{\cardb{\card{x}}}}}\\
\Blprn{\Blprnb{\Blprnbb{\Blprnbb{\Blprnbbb{\Blprnbbb{x}}}}}}&\quad \Blsqpr{\Blsqprb{\Blsqprbb{\Blsqprbbb{\Blsqprbbbb{}}}}}\\
\Blcrl{\Blcrlb{\Blcrlbb{\Blcrlbbb{\Blcrlbbbb{}}}}}&\quad
\Blflr{\Blflrb{\Blflrbb{\Blflrbbb{\Blflrbbb{}}}}}\\
\end{align*}
\begin{align*}
\Blceil{\Blceilb{\Blceilbb{\Blceilbbb{\Blceilbbbb{}}}}}
&\quad\Blnglbbbb{\Blnglbbb{\Blnglbb{\Blnglb{\Blngl{x|y}}}}}\\
\end{align*}
\begin{align*}
\Blabsbbbb{\Blabsbbb{\Blabsbb{\Blabsb{\Blabs{}}}}}
&\quad \Blnrmbbbb{\Blnrmbbb{\Blnrmbb{\Blnrmb{\Blnrm{}}}}}\\
\Brprn \Brprnb \Brprnbb \Brprnbb\Brprnbbb\Brprnbbb&\quad\ \Brsqpr{\Brsqprb{\Brsqprbb{\Brsqprbbb{\Brsqprbbbb{}}}}}\\
\Brcrl{\Brcrlb{\Brcrlbb{\Brcrlbbb{\Brcrlbbbb{}}}}}&\quad
\Brflr{\Brflrb{\Brflrbb{\Brflrbbb{\Brflrbbb{}}}}}\\
\Brceil{\Brceilb{\Brceilbb{\Brceilbbb{\Brceilbbbb{}}}}}
&\quad\Brnglbbbb{\Brnglbbb{\Brnglbb{\Brnglb{\Brngl{}}}}}\\
\Brabsbbbb{\Brabsbbb{\Brabsbb{\Brabsb{\Brabs{}}}}}
&\quad \Brnrmbbbb{\Brnrmbbb{\Brnrmbb{\Brnrmb{\Brnrm{}}}}}
\end{align*}
 \end{comment}
\end{document}  for testing