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+\def\tabstackengineversionnumber{V1.00}
+%
+% tabstackengine initial release
+%
+% THIS MATERIAL IS SUBJECT TO THE LaTeX Project Public License
+%
+% V1.00 - Adopted beta version 0.21 as initial release version 1.0
+%
+\ProvidesPackage{tabstackengine}
+[2014/02/11 (\tabstackengineversionnumber) tabbed stacking]
+\RequirePackage[usestackEOL]{stackengine}[2013-10-15]
+\RequirePackage{calc}
+
+\newtoggle{@doneTABreads}
+\newcounter{TAB@stackindex}
+\newcounter{TABcellindex@}
+\newlength\maxTAB@width
+
+\newcommand\setstackTAB[1]{%
+ \ifstrempty{#1}{\def\TAB@char{ }}{\def\TAB@char{#1}}%
+ \expandafter\define@processTABrow\expandafter{\TAB@char}%
+}
+
+\newcommand\define@processTABrow[1]{%
+ \def\@processTABrow##1#1##2||{%
+ \def\@preTAB{##1}%
+ \def\@postTAB{##2}%
+ }%
+}
+\setstackTAB{&}
+
+\newcommand\readTABrow[2]{%
+ \edef\row@ID{#1}%
+ \togglefalse{@doneTABreads}%
+ \edef\@postTAB{\unexpanded{#2}\expandonce{\TAB@char}}%
+ \setcounter{TABcellindex@}{0}%
+ \whileboolexpr{ test {\nottoggle{@doneTABreads}}}{%
+ \stepcounter{TABcellindex@}%
+ \expandafter\@processTABrow\@postTAB||%
+ \global\csedef{TABX\row@ID X\roman{TABcellindex@}}{\expandonce\@preTAB}%
+ \setbox0=\hbox{%
+ \stack@delim\TABcell{\row@ID}{\theTABcellindex@}\stack@delim}%
+ \ifdim\wd0>\maxTAB@width\setlength{\maxTAB@width}{\the\wd0}\fi%
+ \expandafter\ifstrempty\expandafter{\@postTAB}{%
+ \toggletrue{@doneTABreads}%
+ }{}%
+ }%
+ \expandafter\xdef\csname \row@ID TABcells\endcsname{\arabic{TABcellindex@}}%
+ \find@TABstrut{#1}%
+}
+
+\newcommand\find@TABstrut[1]{%
+ \def\@accumulatedTAB{}%
+ \setcounter{TABcellindex@}{0}%
+ \expandafter\protected@edef\csname @#1TABtextblob\endcsname{}%
+ \whileboolexpr{test {\ifnumless{\theTABcellindex@}{\TABcells{#1}}}}{%
+ \stepcounter{TABcellindex@}%
+ \protected@edef\@accumulatedTAB{%
+ \@accumulatedTAB\TABcell{#1}{\theTABcellindex@}}%
+ }%
+ \global\csedef{@#1TABtextblob}{\expandonce\@accumulatedTAB}%
+}
+
+\newcommand\TAB@delim[1]{#1}%
+\newcommand\TABstackMath{%
+ \renewcommand\TAB@delim[1]{\ensuremath{##1}}%
+}
+\newcommand\TABstackText{%
+ \renewcommand\TAB@delim[1]{##1}%
+}
+
+\newcommand\TABcell[2]{\TAB@delim{%
+ \ignorespaces\csname TABX#1X\romannumeral#2\endcsname\unskip}}
+
+\newcommand\TABcells[1]{\csname #1TABcells\endcsname}
+
+% NOTE THAT THE STRUT IS NOT YET TYPESET, SINCE WE DO NOT YET KNOW
+% WHETHER \@#1textblob IS TO BE INVOKED IN MATH MODE OR NOT
+\newcommand\TABstrut[1]{\vphantom{\csname @#1TABtextblob\endcsname}}
+
+\newcommand\tabbedShortstack[2][\stackalignment]{%
+ \@TAB@stack{#1}{#2}{D}{\Shortstack}}
+
+\newcommand\alignShortstack[1]{%
+ \@TAB@stack{}{#1}{A}{\Shortstack}}
+
+\newcommand\tabularShortstack[2]{%
+ \@TAB@stack{}{#2}{#1}{\Shortstack}}
+
+\newcommand\tabbedShortunderstack[2][\stackalignment]{%
+ \@TAB@stack{#1}{#2}{D}{\Shortunderstack}}
+
+\newcommand\alignShortunderstack[1]{%
+ \@TAB@stack{}{#1}{A}{\Shortunderstack}}
+
+\newcommand\tabularShortunderstack[2]{%
+ \@TAB@stack{}{#2}{#1}{\Shortunderstack}}
+
+\newcommand\tabbedLongstack[2][\stackalignment]{%
+ \@TAB@stack{#1}{#2}{D}{\Longstack}}
+
+\newcommand\alignLongstack[1]{%
+ \@TAB@stack{}{#1}{A}{\Longstack}}
+
+\newcommand\tabularLongstack[2]{%
+ \@TAB@stack{}{#2}{#1}{\Longstack}}
+
+\newcommand\tabbedLongunderstack[2][\stackalignment]{%
+ \@TAB@stack{#1}{#2}{D}{\Longunderstack}}
+
+\newcommand\alignLongunderstack[1]{%
+ \@TAB@stack{}{#1}{A}{\Longunderstack}}
+
+\newcommand\tabularLongunderstack[2]{%
+ \@TAB@stack{}{#2}{#1}{\Longunderstack}}
+
+\newcommand\tabbedCenterstack[2][\stackalignment]{%
+ \@TAB@stack{#1}{#2}{D}{\Centerstack}}
+
+\newcommand\alignCenterstack[1]{%
+ \@TAB@stack{}{#1}{A}{\Centerstack}}
+
+\newcommand\tabularCenterstack[2]{%
+ \@TAB@stack{}{#2}{#1}{\Centerstack}}
+
+\newcommand\tabbedVectorstack[2][\stackalignment]{%
+ \ensureTABstackMath{\@TAB@stack{#1}{#2}{D}{\Vectorstack}}}
+
+\newcommand\alignVectorstack[1]{%
+ \ensureTABstackMath{\@TAB@stack{}{#1}{A}{\Vectorstack}}}
+
+\newcommand\tabularVectorstack[2]{%
+ \ensureTABstackMath{\@TAB@stack{}{#2}{#1}{\Vectorstack}}}
+
+\newcommand\parenMatrixstack[2][\stackalignment]{%
+ \ensureTABstackMath{\left(\@TAB@stack{#1}{#2}{D}{\Vectorstack}\right)}}
+
+\newcommand\braceMatrixstack[2][\stackalignment]{%
+ \ensureTABstackMath{\left\{\@TAB@stack{#1}{#2}{D}{\Vectorstack}\right\}}}
+
+\newcommand\bracketMatrixstack[2][\stackalignment]{%
+ \ensureTABstackMath{\left[\@TAB@stack{#1}{#2}{D}{\Vectorstack}\right]}}
+
+\newcommand\vertMatrixstack[2][\stackalignment]{%
+ \ensureTABstackMath{\left|\@TAB@stack{#1}{#2}{D}{\Vectorstack}\right|}}
+
+\newcommand\@TAB@stack[4]{%
+ \setlength{\maxTAB@width}{0pt}%
+ \let\sv@stackalignment\stackalignment%
+ \edef\stackalignment{#1}%
+ \@readMANYrows{#2}%
+ \edef\TAB@narg{\narg}%
+ \setcounter{TAB@stackindex}{0}%
+ \whileboolexpr{test {\ifnumless{\theTAB@stackindex}{\TAB@narg}}}{%
+ \stepcounter{TAB@stackindex}%
+ \edef\TAB@prefix{\roman{TAB@stackindex}}%
+ \protected@edef\TABrow@data{\csname arg\TAB@prefix\endcsname}%
+ \def\@tmp{\readTABrow{\TAB@prefix}}%
+ \expandafter\@tmp\expandafter{\TABrow@data}%
+ }%
+%
+ \setcounter{TABcellindex@}{0}%
+ \whileboolexpr{test {\ifnumless{\theTABcellindex@}{\TABcells{i}}}}{%
+ \def\col@stack{%
+ \protect\TABstrut{i}%
+ \TABcell{i}{\theTABcellindex@}%
+ \protect\TABstrut{i}%
+}%
+ \stepcounter{TABcellindex@}%
+ \@getTABalignment{#3}{\theTABcellindex@}%
+ \ifboolexpr{%
+ test {\ifnumgreater{\theTABcellindex@}{1}}%
+ }{\add@TAB@gap{#3}{\theTABcellindex@}}{}%
+ \setcounter{TAB@stackindex}{1}%
+ \whileboolexpr{test {\ifnumless{\theTAB@stackindex}{\TAB@narg}}}{%
+ \stepcounter{TAB@stackindex}%
+ \edef\TAB@prefix{\roman{TAB@stackindex}}%
+ \protected@edef\col@stack{\col@stack\SEP@char%
+ \protect\TABstrut{\TAB@prefix}%
+ \TABcell{\TAB@prefix}{\theTABcellindex@}%
+ \protect\TABstrut{\TAB@prefix}%
+ }%
+ }%
+ \iftoggle{fixed@TABwidth}%
+ {\makebox[\the\maxTAB@width][\stackalignment]{%
+ \expandafter#4\expandafter{\col@stack}}}%
+ {\expandafter#4\expandafter{\col@stack}}%
+ }%
+ \let\stackalignment\sv@stackalignment%
+}
+
+\newcommand\tabbedstackon[3][\stackgap]{%
+ \@TABstackonunder{#1}{#2}{#3}{D}{\stackon}}
+
+\newcommand\alignstackon[3][\stackgap]{%
+ \@TABstackonunder{#1}{#2}{#3}{A}{\stackon}}
+
+\newcommand\tabularstackon[4][\stackgap]{%
+ \@TABstackonunder{#1}{#3}{#4}{#2}{\stackon}}
+
+\newcommand\tabbedstackunder[3][\stackgap]{%
+ \@TABstackonunder{#1}{#2}{#3}{D}{\stackunder}}
+
+\newcommand\alignstackunder[3][\stackgap]{%
+ \@TABstackonunder{#1}{#2}{#3}{A}{\stackunder}}
+
+\newcommand\tabularstackunder[4][\stackgap]{%
+ \@TABstackonunder{#1}{#3}{#4}{#2}{\stackunder}}
+
+\newcommand\tabbedstackanchor[3][\stackgap]{%
+ \@TABstackonunder{#1}{#2}{#3}{D}{\stackanchor}}
+
+\newcommand\alignstackanchor[3][\stackgap]{%
+ \@TABstackonunder{#1}{#2}{#3}{A}{\stackanchor}}
+
+\newcommand\tabularstackanchor[4][\stackgap]{%
+ \@TABstackonunder{#1}{#3}{#4}{#2}{\stackanchor}}
+
+\newcommand\@TABstackonunder[5]{%
+ \setlength{\maxTAB@width}{0pt}%
+ \let\sv@stackalignment\stackalignment%
+ \readTABrow{i}{#2}%
+ \readTABrow{ii}{#3}%
+ \setcounter{TABcellindex@}{0}%
+ \whileboolexpr{test {\ifnumless{\theTABcellindex@}{\TABcells{i}}}}{%
+ \stepcounter{TABcellindex@}%
+ \@getTABalignment{#4}{\theTABcellindex@}%
+ \ifboolexpr{%
+ test {\ifnumgreater{\theTABcellindex@}{1}}%
+ }{\add@TAB@gap{#4}{\theTABcellindex@}}{}%
+ \iftoggle{fixed@TABwidth}%
+ {\makebox[\the\maxTAB@width][\stackalignment]{%
+ #5[#1]{\TABstrut{i}\TABcell{i}{\theTABcellindex@}\TABstrut{i}}%
+ {\TABstrut{ii}\TABcell{ii}{\theTABcellindex@}\TABstrut{ii}}}}%
+ {#5[#1]{\TABstrut{i}\TABcell{i}{\theTABcellindex@}\TABstrut{i}}%
+ {\TABstrut{ii}\TABcell{ii}{\theTABcellindex@}\TABstrut{ii}}}%
+ }%
+ \let\stackalignment\sv@stackalignment%
+}
+
+\newcommand\@getTABalignment[2]{%
+ \ifstrequal{#1}{D}{}{% T, DO NOTHING (USE \stackalignment)
+ \ifstrequal{#1}{A}{%
+ \ifnumequal{1}{#2}{%
+ \def\stackalignment{r}}{% A, 1st ELEMENT, SET TO r
+ \if l\stackalignment%
+ \def\stackalignment{r}\else% A, SWITCH l TO r
+ \def\stackalignment{l}\fi}}{% A, SWITCH r TO l
+ \set@tabularcellalignment{#1}{#2}% tabular, READ #2 location
+ }%
+ }%
+}
+
+\def\tabbed@gap{0pt}
+\def\align@gap{1em}
+\def\tabular@gap{\tabcolsep}
+
+\newcommand\setstacktabbedgap[1]{\def\tabbed@gap{#1}}
+\newcommand\setstackaligngap[1]{\def\align@gap{#1}}
+\newcommand\setstacktabulargap[1]{\def\tabular@gap{#1}}
+
+\newcommand\add@TAB@gap[2]{%
+ \ifstrequal{#1}{D}{\hspace{\tabbed@gap}}{%
+ \ifstrequal{#1}{A}{%
+ \if r\stackalignment\hspace{\align@gap}\fi%
+ }{%
+ \hspace{\tabular@gap}%
+ }%
+ }%
+}
+
+\newcounter{TABalignmentindex@}
+
+\newcommand\set@tabularcellalignment[2]{%
+ \setcounter{TABalignmentindex@}{1}%
+ \edef\tabular@settings{#1.}%
+ \whileboolexpr{test {\ifnumless{\theTABalignmentindex@}{#2}}}{%
+ \stepcounter{TABalignmentindex@}%
+ \edef\tabular@settings{\expandafter\@gobble\tabular@settings.}%
+ }%
+ \expandafter\@getnextTABchar\tabular@settings\\% GET NEXT TAB ALIGNMENT
+ \if l\@nextTABchar\edef\stackalignment{l}\else%
+ \if r\@nextTABchar\edef\stackalignment{r}\else%
+ \if c\@nextTABchar\edef\stackalignment{c}\fi%
+ \fi% IGNORE IF NOT l, c, OR r
+ \fi%
+}
+
+\def\@getnextTABchar#1#2\\{\gdef\@nextTABchar{#1}}
+
+
+\newtoggle{fixed@TABwidth}
+\newcommand\fixTABwidth[1]{%
+ \if T#1\toggletrue{fixed@TABwidth}\else\togglefalse{fixed@TABwidth}\fi%
+}
+\fixTABwidth{F}
+
+\newcommand\ensureTABstackMath[1]{\TABstackMath#1\TABstackText}
+
+\endinput