\def\stackengineversionnumber{v4.01}
\ProvidesPackage{stackengine}
[2017/02/13 \stackengineversionnumber\ 
 Stacking text and objects in convenient ways]
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
% The latest version of this license is in
%   http://www.latex-project.org/lppl.txt
% and version 1.3c or later is part of all distributions of LaTeX
% version 2005/12/01 or later.
%
% This work has the LPPL maintenance status `maintained'.
%
% The Current Maintainer of this work is Steven B. Segletes.
%
% V1.0  -Initial release.
% V2.0  -Revised syntax, making \Sstackgap=len, \Lstackgap=len syntax
%        obsolete.  New syntax is \setstackgap{S}{len} and
%        \setstackgap{L}{len}
%       -Condensed several routines
%       -Revised documentation for clarity and to eliminate typos.
%       -Added \toplap and \bottomlap.
%       -Disallowed \quietstack for lapping.
%       -added \abovebaseline
% V3.0  -Added \stackMath and \stackText macros to treat arguments,
%        by default, in math mode or not.
% V3.1  -Added \hsmash, for zero-width, center-aligned argument (note:
%        other alignments can be achieved with \llap and \rlap)
%       -Eliminated need for \usepackage{readarray} through the 
%        implementation of \@readMANYrows and \@processROW
%       -Added [usestackEOL] package option to use \\ separator, rather
%        than space separator in \Shortstack, \Longstack,
%        \Shortunderstack, and \Longunderstack
%       -Implemented \setstackEOL to define new separator in \Shortstack,
%        \Longstack, \Shortunderstack, and \Longunderstack
%       -Renamed some package internal variables with @...
%       -Added \addstackgap to place vertical gap above and below an 
%        existing stack.  Negative gaps have no effect.
%       -Added \stackinset, deprecates \topinset & \bottominset.
%       -allow c \stackalignment on \stackinset, \topinset, and 
%        \bottominset to have meaning (rightward offset relative to
%        centerline, can be positive or negative).
%       -Forced \useanchorwidth{T} for insets, since otherwise the
%        stackwidth could vary for reasons not obvious to user.
%       -Added \strutlongstacks{} mode for auto-adding a strut to
%        each row of a long stack
%       -Recommend \strutshortanchors{} mode in preference to
%        \def\usestackstrut{} definition (now deprecated).
% V3.11 -Corrected bug in \stackinset which did not condition the
%        anchor when using vertical centering in \stackMath mode
% V3.2  -Incorporated changes suggested by E. Gregorio to make robust
%        the supporting macro \@readMANYrows
%       -Introduced routines: \Centerstack, \Vectorstack, \parenVectorstack
%        \bracketVectorstack, \braceVectorstack, \vertvectorstack,
%        and \ensurestackMath
% V3.21 -Corrected a bug in \stackinset introduced in V3.11
% V3.22 -Removed \usepackage{calc}
%       -Corrected \@STRT placement to not inadvertantly force a \mathop
%        on rows beginning with a minus sign.
% V3.23 -Made EOL-separated stacks (i.e., \Longstack, \Shortstack,
%        \Centerstack, \Vectorstack, etc.) work properly when a single
%        (unstacked) row is input.
%       -Noted in documentation that while EOL-separated stacks
%        ignore leading/trailing spaces in their arguments (unless the
%        EOL itself is a space token), the \stackon / \stackunder
%        family of macros do not ignore spaces in their arguments.
%       -Reinstated \usepackage{calc} (Oops!)
% V3.24 -Replaced references to \roman with \romannumeral, since \roman
%        is redefined by packages like spanish babel.
% V3.25 -Default longstack gap is now \normalbaselineskip, so as to
%        automatically work in tabular environments.
% V3.26 -V3.25 on partially fixed the problem of \normalbaselineskip.
% V4.00 -Incorporate listofitems package methodology for parsing, requiring
%        some package rewrite, primarily macro \@readMANYrows.
%       -Eliminated all uses of \protected@edef.fxf
% V4.01 -Removed unnecessary\global specifiers from \newlength and 
%        \setlength, which could also cause potential problems with the
%        calc package.
%       -Changed \global\def to \gdef and \global\edef to \xdef.
\RequirePackage{etoolbox}
\RequirePackage{listofitems}% REQUIRES listofitems.sty AND listofitems.tex
\usepackage{calc}

\newtoggle{@doneROWreads}
\newtoggle{stackloop@done}
\newcounter{@stackindex}
\newlength\@boxshift
\newlength\stack@tmplength
\newlength\temp@stkl
\newlength\@stackedboxwidth
\newsavebox\@addedbox
\newsavebox\@anchorbox
\newsavebox\stackedbox
\newsavebox{\@centerbox}
\newcounter{ROWcellindex@}

%% Following 3 lines thanks to Prof. Enrico Gregorio, from:
%% http://tex.stackexchange.com/questions/42318/
\begingroup\lccode`\|=`\\
\lowercase{\endgroup\def\removebs#1{\if#1|\else#1\fi}}
\newcommand{\stack@macro@name}[1]{\expandafter\removebs\string#1}

%% Following macro was, in V3.2, made robust with the help of
%% Prof. Enrico Gregorio.  See:
%% http://tex.stackexchange.com/questions/137298/
\newcommand\setstackEOL[1]{%
  \ifstrempty{#1}{\def\SEP@char{ }}{\def\SEP@char{#1}}%
}

% FOR PROCESSING A GROUP OF STACK ROWS SEPARATED BY \SEP@char
% EMPLOYS listofitems PACKAGE, AS OF V4.0
\newcommand\@readMANYrows[1]{%
  \expandafter\setsepchar\expandafter{\SEP@char}%
  \readlist*\stack@arg{#1}%
  \xdef\stackengine@args{\stack@arglen}%
}
%%%%%

% PROCESS PACKAGE OPTIONS
\newif\ifstackengine@oldsyntax
\newif\ifstackengine@usestackEOL
\DeclareOption{oldsyntax}{\stackengine@oldsyntaxtrue}
\DeclareOption{usestackEOL}{\stackengine@usestackEOLtrue}
\ProcessOptions\relax
\ifstackengine@oldsyntax%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% THIS VERSION 1.0 SYNTAX WAS PHASED OUT %%%%%%%%%%%%%%%%%%%
%%%%% (but can invoke with \usepackage[oldsyntax]{stackengine} )
\newlength\Sstackgap\newlength\Lstackgap
\newcommand\stackgap{\if S\stacktype\the\Sstackgap\else\the\Lstackgap\fi}
\setlength{\Sstackgap}{3pt}
\setlength{\Lstackgap}{\normalbaselineskip}
\else%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% AND REPLACED WITH THE FOLLOWING %%%%%%%%%%%%%%%%%%%%%%%%%%
% Again, thanks to Prof. Gregorio for his lucid explanation that helped
% improve this package.  See:
% http://tex.stackexchange.com/questions/123443/
% defining-a-length-that-scales-with-fontsize-changes/123470#123470
\newcommand{\setstackgap}[2]{\@namedef{#1stackgap}{#2}}
\newcommand\stackgap{\@nameuse{\if S\stacktype S\else L\fi stackgap}\relax}
\setstackgap{S}{3pt}% SHORTSTACKING GAP BETWEEN ITEMS (SAME AS \shortstack)
\setstackgap{L}{\normalbaselineskip}% LONGSTACKING BASELINESKIP (\normalbaselineskip)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\fi
\ifstackengine@usestackEOL%
% USE \\ AS SEPERATOR IN \Shortstack, \Longstack,
% \Shortunderstack, and \Longunderstack
  \setstackEOL{\\}
\else
% USE SPACE TOKEN AS SEPERATOR IN \Shortstack, \Longstack,
% \Shortunderstack, and \Longunderstack
  \setstackEOL{ }
\fi

%%%%% PACKAGE DEFAULT DEFINITIONS
\def\useanchorwidth{F}% T= FORCE BOX WIDTH TO ANCHOR-WIDTH
\def\quietstack{F}% T = SUPPRESS OUTPUT OF ALL COMMANDS
%                   (USE \usebox{\stackedbox} TO RETRIEVE)
\def\stackalignment{c}% l, c, or r for left, center or right alignment
\def\stacktype{S}% S for constant gap shortstack;
                 % L for constant baselineskip longstack

% DEPRECATED USAGE \def\usestackstrut{}; INSTEAD USE \strutshortanchors{}
%\def\usestackstrut{T}

%%%%% MODES
\newcommand\stackMath{\gdef\stack@delim{$}}
\newcommand\stackText{\gdef\stack@delim{}}
\stackText

\newcommand\strutlongstacks[1]{\def\@strutlongstacks{#1}}
\strutlongstacks{F}

\newcommand\strutshortanchors[1]{\def\usestackstrut{#1}}
\strutshortanchors{T}

%%%%% MACROS

%\stackengine{\Sstackgap or \Lstackgap or \stackgap or stacklength}
%            {anchor}
%            {item}
%            {O or U}
%            {\stackalignment or l or c or r}
%            {\quietstack or T or F}
%            {\useanchorwidth or T or F}
%            {\stacktype or S or L}
\newcommand*\stackengine[8]{%
  \def\@STRT{}%
  \if T\@strutlongstacks\if L#8\def\@STRT{\strut}\fi\fi%
  \sbox{\stackedbox}{%
    \sbox{\@anchorbox}{\@STRT\stack@delim#2\stack@delim}%
    \sbox{\@addedbox}{\@STRT\stack@delim#3\stack@delim}%
    \settowidth{\@stackedboxwidth}{\@STRT\stack@delim#2\stack@delim}%
    \if F#7%
      \ifdim\wd\@addedbox>\@stackedboxwidth%
        \settowidth{\@stackedboxwidth}{\stack@delim\@STRT#3\stack@delim}%
      \fi%
    \fi%
    \setlength{\@boxshift}{#1}%
    \if L#8%
      \if U#4%
        \setlength{\@boxshift}{-\@boxshift}%
      \fi%
    \else%
      \if U#4%
        \setlength{\@boxshift}{-\dp\@anchorbox -\ht\@addedbox -\@boxshift}%
      \else%
        \setlength{\@boxshift}{\ht\@anchorbox +\dp\@addedbox +\@boxshift}%
      \fi%
    \fi%
    \if c#5%
      \hspace{.5\@stackedboxwidth}%
      \hspace{-.5\wd\@anchorbox}%
      \usebox{\@anchorbox}%
      \hspace{-.5\wd\@anchorbox}%
      \hspace{-.5\wd\@addedbox}%
      \raisebox{\@boxshift}{\@STRT\stack@delim#3\stack@delim}%
      \hspace{-.5\wd\@addedbox}%
      \hspace{.5\@stackedboxwidth}%
    \else%
      \if l#5%
        \usebox{\@anchorbox}%
        \hspace{-\wd\@anchorbox}%
        \raisebox{\@boxshift}{\@STRT\stack@delim#3\stack@delim}%
        \hspace{-\wd\@addedbox}%
        \hspace{\@stackedboxwidth}%
      \else%
        \if r#5%
          \hspace{\@stackedboxwidth}%
          \hspace{-\wd\@anchorbox}%
          \usebox{\@anchorbox}%
          \hspace{-\wd\@addedbox}%
          \raisebox{\@boxshift}{\@STRT\stack@delim#3\stack@delim}%
        \fi%
      \fi%
    \fi%
  }%
  \if F#6\usebox{\stackedbox}\fi%
}

\newcommand*\stackunder[3][\stackgap]{\stackengine%
  {#1}{#2}{#3}{U}{\stackalignment}{\quietstack}{\useanchorwidth}{\stacktype}}

\newcommand*\stackon[3][\stackgap]{\stackengine%
  {#1}{#2}{#3}{O}{\stackalignment}{\quietstack}{\useanchorwidth}{\stacktype}}

\newcommand*\Shortstack[2][\stackalignment]{\@stack{#1}{#2}{O}{S}}

\newcommand*\Longstack[2][\stackalignment]{\@stack{#1}{#2}{O}{L}}

\newcommand*\Shortunderstack[2][\stackalignment]{\@stack{#1}{#2}{U}{S}}

\newcommand*\Longunderstack[2][\stackalignment]{\@stack{#1}{#2}{U}{L}}

\newcommand*\@stack[4]{%
  \bgroup% SO AS NOT TO INTERFERE WITH loi's \setsepchar
  \@readMANYrows{#2}%
  \if U#3%
    \setcounter{@stackindex}{\stackengine@args}%
    \def\@stacksign{-}%
    \def\@stackcondition{\the@stackindex > 1}%
  \else%
    \setcounter{@stackindex}{1}%
    \def\@stacksign{}%
    \def\@stackcondition{\the@stackindex < \stackengine@args}%
  \fi%
  \def\@STRT{}%
  \if T\@strutlongstacks\if L#4\def\@STRT{\strut}\fi\fi%
  \sbox{\stackedbox}{%
    \@STRT\stack@delim\ignorespaces%
      \stack@arg[\the@stackindex]%
    \unskip\stack@delim}%
  \ifnum\stackengine@args>1%
    \togglefalse{stackloop@done}%
  \else%
    \toggletrue{stackloop@done}%
  \fi%
  \whileboolexpr{test {\nottoggle{stackloop@done}}}{%
    \addtocounter{@stackindex}{\@stacksign 1}%
    \stackengine{\csname#4stackgap\endcsname}%
      {\stack@arg[\the@stackindex]}%
      {\usebox{\stackedbox}}{#3}{#1}{T}{\useanchorwidth}{#4}%
    \ifnum\@stackcondition\else\toggletrue{stackloop@done}\fi%
  }%
  \if F\quietstack\usebox{\stackedbox}\fi%
  \egroup%
}

% PERHAPS THESE SIX MACROS CAN BE REPLACED BY \toplap AND \bottomlap
\newcommand*\tllap[2][\Lstackgap]{\@stacklap{#1}{l}{#2}{O}}
\newcommand*\tclap[2][\Lstackgap]{\@stacklap{#1}{c}{#2}{O}}
\newcommand*\trlap[2][\Lstackgap]{\@stacklap{#1}{r}{#2}{O}}
\newcommand*\bllap[2][\Lstackgap]{\@stacklap{#1}{l}{#2}{U}}
\newcommand*\bclap[2][\Lstackgap]{\@stacklap{#1}{c}{#2}{U}}
\newcommand*\brlap[2][\Lstackgap]{\@stacklap{#1}{r}{#2}{U}}

\newcommand*\toplap[3][\Lstackgap]{\@stacklap{#1}{#2}{#3}{O}}
\newcommand*\bottomlap[3][\Lstackgap]{\@stacklap{#1}{#2}{#3}{U}}

\newcommand*\@stacklap[4]{%
  \if l#2\stackengine{#1}{}{#3}{#4}{r}{F}{T}{L}\else%
    \if r#2\stackengine{#1}{}{#3}{#4}{l}{F}{T}{L}\else%
      \stackengine{#1}{}{#3}{#4}{c}{F}{T}{L}%
    \fi%
  \fi
}

\newcommand*\hsmash[1]{\stackengine{0pt}{}{#1}{O}{c}{F}{T}{L}}

\newcommand*\stackanchor[3][\stackgap]{%
  \setlength{\stack@tmplength}{#1}%
  \setlength{\stack@tmplength}{.5\stack@tmplength}%
  \if T\usestackstrut%
    \if S\stacktype\addtolength{\stack@tmplength}%
       {.5\ht\strutbox-.5\dp\strutbox}\fi%
  \fi%
  \stackengine{\stack@tmplength}{}{#2}{O}{\stackalignment}{T}{F}{\stacktype}%
  \if T\usestackstrut%
    \if S\stacktype\addtolength{\stack@tmplength}%
       {-\ht\strutbox+\dp\strutbox}\fi%
  \fi%
  \stackengine{\stack@tmplength}{\usebox{\stackedbox}}{#3}{U}%
              {\stackalignment}{\quietstack}{F}{\stacktype}%
}

\newcommand*\abovebaseline[2][\stackgap]{%
  \stackengine{#1}{}{#2}{O}{\stackalignment}{\quietstack}{F}{\stacktype}}

\newcommand*\belowbaseline[2][\stackgap]{%
  \stackengine{#1}{}{#2}{U}{\stackalignment}{\quietstack}{F}{\stacktype}}

\newcommand*\savestack[2]{%
  \xdef\sv@name{\stack@macro@name{#1}}%
  \@ifundefined{\sv@name content}{%
    \expandafter\newsavebox\expandafter{\csname\sv@name content\endcsname}%
   }{}%
  \expandafter\sbox\csname\sv@name content\endcsname{#2}%
  \expandafter\def\expandafter#1\expandafter{\expandafter\usebox\expandafter%
    {\csname\sv@name content\endcsname}}%
}

\newcommand*\addstackgap[2][\Sstackgap]{\stackengine{#1}{%
  \stackengine{#1}{#2}{}{O}{c}{\quietstack}{T}{S}}{}{U}{c}{\quietstack}{T}{S}}

\newcommand*\topinset[4]{\stackinset{\stackalignment}{#4}{t}{#3}{#1}{#2}}% DEPRECATED

\newcommand*\bottominset[4]{\stackinset{\stackalignment}{#4}{b}{#3}{#1}{#2}}% DEPRECATED

%\stackinset{l/c/r}{x}{b/c/t}{y}{inset}{anchor}
\newcommand*\stackinset[6]{%
  \def\conditioned@inset{\stack@delim#5\stack@delim}%
  \def\conditioned@anchor{\stack@delim#6\stack@delim}%
  \ifstrequal{#4}{}%
    {\setlength{\stack@tmplength}{0pt}}%
    {\setlength{\stack@tmplength}{#4}}%
  \if c#3%
    \setlength{\temp@stkl}{%
      \heightof{\conditioned@anchor}+\depthof{\conditioned@anchor}%
      -\heightof{\conditioned@inset}-\depthof{\conditioned@inset}}%
    \addtolength{\stack@tmplength}{.5\temp@stkl}%
  \fi%
  \ifstrequal{#2}{}{\def\stack@tmp{0pt}}{\def\stack@tmp{#2}}%
  \def\stack@lroffset{\rule{\stack@tmp}{0pt}}%
  \addtolength{\stack@tmplength}{%
    \heightof{\conditioned@inset}+\depthof{\conditioned@inset}}%
  \if c#1%
    \def\conditioned@inset{\stack@lroffset\stack@lroffset#5}%
  \else%
    \def\conditioned@inset{\stack@lroffset#5\stack@lroffset}%
  \fi%
  \stackengine{-\stack@tmplength}{#6}{\conditioned@inset}%
              {\inset@valign{#3}}{#1}{\quietstack}{T}{S}%
}

\def\inset@valign#1{\if t#1O\else U\fi}

\newcommand\Centerstack[2][\stackalignment]{%
  \sbox{\@centerbox}{\strutlongstacks{T}\Longstack[#1]{#2}}%
  \raisebox{-.5\ht\@centerbox+.5\ht\strutbox}{\usebox{\@centerbox}}}

\newcommand\Vectorstack[2][\stackalignment]{%
  \ensurestackMath{\Centerstack[#1]{#2}}}

\newcommand\parenVectorstack[2][\stackalignment]{%
  \ensurestackMath{\left(\Centerstack[#1]{#2}\right)}}

\newcommand\bracketVectorstack[2][\stackalignment]{%
  \ensurestackMath{\left[\Centerstack[#1]{#2}\right]}}

\newcommand\braceVectorstack[2][\stackalignment]{%
  \ensurestackMath{\left\{\Centerstack[#1]{#2}\right\}}}

\newcommand\vertVectorstack[2][\stackalignment]{%
  \ensurestackMath{\left|\Centerstack[#1]{#2}\right|}}

\newcommand\ensurestackMath[1]{%
  \let\sv@stackmode\stack@delim\stackMath%
  #1\global\let\stack@delim\sv@stackmode}

\endinput