deletions | additions       diff --git a/ICRA2016/empheq.sty b/ICRA2016/empheq.sty  new file mode 100644  index 0000000..919228d  --- /dev/null  +++ b/ICRA2016/empheq.sty 
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%%  %% This is file `empheq.sty',  %% generated with the docstrip utility.  %%  %% The original source files were:  %%  %% empheq.dtx (with options: `package')  %%   %% This is a generated file.  %%   %% Copyright (C) 2002-2007 by Morten Hoegholm  %% Copyright (C) 2012- by Lars Madsen  %%   %%   %% 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 1.3 or later is part of all distributions of  %% LaTeX version 2005/12/01 or later.  %%   %% This work has the LPPL maintenance status "maintained".  %%   %% This Current Maintainer of this work is  %% Lars Madsen  %%   %% This work consists of the main source file empheq.dtx  %% and the derived files  %% empheq.sty, empheq.pdf, empheq.ins, empheq.drv.  %%   \ProvidesPackage{empheq}%  [2014/07/16 v2.14 Emphasizing equations]  \RequirePackage{mhsetup}[2004/10/10]  \MHInternalSyntaxOn  \MH_new_boolean:n {overload_ams}  \DeclareOption{overload}{  \MH_set_boolean_T:n {overload_ams}  }  \MH_new_boolean:n {overload_amsII}  \DeclareOption{overload2}{  \MH_set_boolean_T:n {overload_ams}  \MH_set_boolean_T:n {overload_amsII}  }  \MH_new_boolean:n {good_mult}  \DeclareOption{oldmultline}{\MH_set_boolean_F:n {good_mult}}  \DeclareOption{newmultline}{\MH_set_boolean_T:n {good_mult}}  \gdef\g@EQ@ntheorem@support@bool{01}  \DeclareOption{ntheorem}{\gdef\g@EQ@ntheorem@support@bool{00}}  \DeclareOption*{  \PassOptionsToPackage{\CurrentOption}{mathtools}  }  \ExecuteOptions{newmultline}  \ProcessOptions\relax  \MHInternalSyntaxOff  \RequirePackage{mathtools}[2004/10/10]  \MHInternalSyntaxOn  \AtEndOfPackage{\MHInternalSyntaxOff}  \newcount\l_EQ_equationtype_int  \newcount\l_EQ_alignmentmode_int  \if@fleqn  \iftagsleft@  \l_EQ_alignmentmode_int=4  \else:  \l_EQ_alignmentmode_int=\thr@@  \fi:  \else:  \iftagsleft@  \l_EQ_alignmentmode_int=\tw@  \else:  \l_EQ_alignmentmode_int=\@ne  \fi:  \fi:  \newdimen\l_EQ_totalwidth_dim  \newdimen\l_EQ_displaywidth_dim  \def\EmphEqdisplaywidth{\l_EQ_displaywidth_dim}  \newdimen\l_EQ_temp_linewidth_dim  \newdimen\EmphEqdelimitershortfall  \newcount\EmphEqdelimiterfactor  \EmphEqdelimiterfactor950  \EmphEqdelimitershortfall\p@  \newdimen\g_EQ_toptag_height_dim  \newdimen\g_EQ_bottomtag_depth_dim  \newdimen\g_EQ_toprow_height_dim  \newdimen\g_EQ_bottomrow_depth_dim  \newdimen\g_EQ_widesttag_dim  \def\EmphEqtagwidth{\g_EQ_widesttag_dim}  \def\EQ_outerbox:{}  \def\EQ_innerbox:{}  \def\EQ_left_side:{}  \def\EQ_right_side:{}  \newsavebox\EQ_mathdisplay_box  \def\EmphEqdisplayheight{\ht\EQ_mathdisplay_box}  \def\EmphEqdisplaydepth{\dp\EQ_mathdisplay_box}  \newsavebox\EQ_tag_box  \def\EQ_complete_mathdisplay:{}  \def\EQ_getbody:n #1{%  \def\EQ_complete_mathdisplay:{}\def\EQ_mathbody:{#1}}  \newenvironment{EmphEqMainEnv}{\collect@body\EQ_getbody:n}{%  \if_num:w \l_EQ_equationtype_int=\z@ %ZeroCheckpoint  \EQ_upgrade_error:  \else:  \EQ_post_process:  \ignorespacesafterend  \fi:}  \def\EQ_post_process:{%  \EQ_initialize:  \EQ_begin_equation:  \MH_if_boolean:nT {outer_mult}{  \setkeys{\MT_options_name:}{  firstline-afterskip=0pt,  lastline-preskip=0pt,  multlined-width=0pt,  }  \ifodd \l_EQ_alignmentmode_int  \setkeys{\MT_options_name:}{multlined-pos=b}  \else:  \setkeys{\MT_options_name:}{multlined-pos=t}  \fi:  \g@addto@macro\EQ_complete_mathdisplay:{  \begin{MTmultlined}\relax}  }  \g@addto@macro\EQ_complete_mathdisplay:\EQ_mathbody:  \MH_if_boolean:nT {outer_mult}{  \g@addto@macro\EQ_complete_mathdisplay:{\end{MTmultlined}}  }  \EQ_end_equation:  \edef\EQ_hyperref_link_fint{\number\Hy@linkcounter}  \savecounters@  \EQ_typeset_tags:  \edef\l_EQ_equation_fint{\number\c@equation}  \restorecounters@  \Hy@linkcounter=\EQ_hyperref_link_fint  \settowidth\l_EQ_totalwidth_dim{%  $\EQ_left_side:\EQ_innerbox:{}\EQ_right_side:$}%  \MH_if_boolean:nTF {outer_mult}  { \def\EQ_next:{_mult} }  { \def\EQ_next:{} }  \@nameuse{EQ_modify_linewidth_  \romannumeral\l_EQ_equationtype_int\EQ_next: :}%  \EQ_typeset_display:  \@nameuse{find_displaywidth_  \romannumeral\l_EQ_equationtype_int\EQ_next: :}  \MH_addtolength:dn  \l_EQ_totalwidth_dim{\l_EQ_displaywidth_dim}  \savebox\EQ_mathdisplay_box[\l_EQ_totalwidth_dim][c]{%  $\EQ_left_side:  \EQ_innerbox:{%  \if_case:w \l_EQ_alignmentmode_int\or:  \makebox[\l_EQ_displaywidth_dim][c]  {\usebox{\EQ_mathdisplay_box}}%  \or:  \makebox[\l_EQ_displaywidth_dim][c]  {\usebox{\EQ_mathdisplay_box}}%  \or:  \makebox[\l_EQ_displaywidth_dim][l]{%  \if_num:w \l_EQ_equationtype_int=5 \else:  \if_num:w \l_EQ_equationtype_int=6 \else:  \kern-\@mathmargin  \fi:  \fi:  \usebox{\EQ_mathdisplay_box}}%  \or:  \makebox[\l_EQ_displaywidth_dim][l]{%  \if_num:w \l_EQ_equationtype_int=5 \else:  \if_num:w \l_EQ_equationtype_int=6 \else:  \kern-\@mathmargin  \fi:  \fi:  \usebox{\EQ_mathdisplay_box}}%  \fi:}%  \EQ_right_side:$}%  \begin{AmSequation*}  \@nameuse{EQ_place_display_  \romannumeral\l_EQ_equationtype_int\EQ_next: :}  \if_dim:w \g_EQ_widesttag_dim>\z@  \MH_set_boolean_T:n {show_manual_tags}  \if_case:w \l_EQ_alignmentmode_int  \or: \EQ_place_tag:N r %#1  \or: \EQ_place_tag:N l %#2  \or: \EQ_place_tag:N r %#3  \or: \EQ_place_tag:N l %#4  \fi:  \fi:  \end{AmSequation*}  \global\c@equation=\l_EQ_equation_fint\relax  }  \def\EQ_initialize:{%  \m@th  \MH_let:NwN\SetTagPlusEndMark\EQ_tag_plus_endmark:  \MH_let:NwN\SetOnlyEndMark\EQ_only_endmark:  \l_EQ_temp_linewidth_dim\linewidth  \g_EQ_toprow_height_dim\z@  \g_EQ_bottomrow_depth_dim\z@  \g_EQ_toptag_height_dim\z@  \g_EQ_bottomtag_depth_dim\z@  \g_EQ_widesttag_dim\z@  \xdef\g_EQ_latest_nonzerodepth_row_fint{\z@}  \edef\EQ_restore_tex_delimiter:{%  \delimiterfactor\the\delimiterfactor  \delimitershortfall\the\delimitershortfall\relax}%  \g@addto@macro\EQ_complete_mathdisplay:  \EQ_restore_tex_delimiter:  \delimitershortfall\EmphEqdelimitershortfall  \delimiterfactor\EmphEqdelimiterfactor  \MH_let:NwN\intertext@\EQ_intertext:  \EQ_displaybreak:}  \def\EQ_intertext:{%  \def\intertext##1{\PackageError{empheq}{%  You~cannot~use~\string\intertext\space inside~the~`empheq'  \MessageBreak  environment,~as~`empheq'~creates~an~unbreakable~box}\@eha}}  \def\EQ_displaybreak:{%  \def\dspbrk@[##1]{\PackageWarning{empheq}{%  You~cannot~use~\string\displaybreak\space inside~the~`empheq'%  \MessageBreak  environment,~as~`empheq'~creates~an~unbreakable~box.}}}  \def\EQ_new_equationtype:nnn #1#2#3{%  \define@key{#1}{#2}[true]{%  \l_EQ_equationtype_int=#3\relax  \def\EQ_begin_equation:  {\g@addto@macro{\EQ_complete_mathdisplay:}{\begin{#2}}}%  \def\EQ_end_equation:  {\g@addto@macro{\EQ_complete_mathdisplay:}{\end{#2}}}}}  \def\EQ_new_equationtype_arg:nnn #1#2#3{%  \define@key{#1}{#2}{%  \l_EQ_equationtype_int=#3\relax  \def\EQ_begin_equation:  {\g@addto@macro{\EQ_complete_mathdisplay:}{\begin{#2}{##1}}}%  \def\EQ_end_equation:  {\g@addto@macro{\EQ_complete_mathdisplay:}{\end{#2}}}}}  \def\EQ_typeset_tags:{%  \sbox\EQ_tag_box{%  \parbox{.5\maxdimen}{%  \hbadness\@M  \EQ_prevent_vertical_space:  \EQ_typeset_tags_hook:  \MH_let:NwN\set@gather@field\EQ_set_gather_field:  \MH_let:NwN\set@field\EQ_set_align_field:  \MH_set_boolean_T:n {continue_measuring}  \global\g_EQ_temprow_int\m@ne  \MH_let:NwN \EQ_saved_maketag:n \maketag@@@  \def\maketag@@@##1{  \EQ_maketag:Nn \EQ_saved_maketag:n {##1}}  \EQ_complete_mathdisplay:}}}  \def\EQ_predisplay_adjustment:{%  \if_dim:w \g_EQ_toprow_height_dim<\baselineskip  \vskip\g_EQ_toprow_height_dim  \vskip-\baselineskip  \else:  \vskip-\normallineskip  \fi:  \if_dim:w \g_EQ_toptag_height_dim>\g_EQ_toprow_height_dim  \if_dim:w \g_EQ_toptag_height_dim>\baselineskip  \vskip-\g_EQ_toptag_height_dim  \vskip\baselineskip  \vskip-\normallineskip  \fi:  \fi:}  \def\EQ_postdisplay_adjustment:{%  \if_dim:w \g_EQ_bottomrow_depth_dim<\dp\strutbox  \vskip\g_EQ_bottomrow_depth_dim  \vskip-\dp\strutbox  \fi:  \if_dim:w \g_EQ_bottomtag_depth_dim>\g_EQ_bottomrow_depth_dim  \if_dim:w \g_EQ_bottomtag_depth_dim>\dp\strutbox  \vskip-\g_EQ_bottomtag_depth_dim  \vskip\dp\strutbox  \fi:  \fi:}  \def\EQ_typeset_display:{%  \sbox\EQ_mathdisplay_box{%  \parbox{\l_EQ_temp_linewidth_dim}{%  \EQ_predisplay_adjustment:  \EQ_prevent_vertical_space:  \EQ_typeset_display_hook:  \def\maketag@@@##1{\EQ_maketag:Nn \vphantom{##1}}%  \EQ_complete_mathdisplay:  \EQ_postdisplay_adjustment:}}}  \def\EQ_prevent_vertical_space:{%  \nointerlineskip  \abovedisplayskip\z@ \belowdisplayskip\z@\relax}  \def\EQ_maketag:Nn #1#2{%  \setboxz@h{#2}%  \if_num:w \row@=\@ne  \global \g_EQ_toptag_height_dim = \ht\z@  \fi:  \global \g_EQ_bottomtag_depth_dim=\dp\z@  \xdef\g_EQ_latest_nonzerodepth_row_fint{\number\row@}  \@tempdima=\wd\z@  \if_dim:w \@tempdima > \g_EQ_widesttag_dim  \global \g_EQ_widesttag_dim = \@tempdima  \fi:  #1{#2}%  }  \def\EQ_set_gather_field:{%  \iftagsleft@  \global\lineht@\ht\z@  \else:  \global\lineht@\dp\z@  \fi:  \kern\eqnshift@  %\boxz@ % Original amsmath version  \EQ_measure_gather:  \phantom{\boxz@}%  \hfil}  \def\EQ_measure_gather:{%  \if_num:w \row@=\@ne  \g_EQ_toprow_height_dim=\ht\z@  \fi:  \g_EQ_bottomrow_depth_dim=\dp\z@  \global\g_EQ_toprow_height_dim\g_EQ_toprow_height_dim  \global\g_EQ_bottomrow_depth_dim\g_EQ_bottomrow_depth_dim}  \def\EQ_set_align_field:{%  \column@plus  \iftagsleft@  \if_dim:w \ht\z@>\lineht@  \global\lineht@\ht\z@  \fi:  \else:  \if_dim:w \dp\z@>\lineht@  \global\lineht@\dp\z@  \fi:  \fi:  %\boxz@ % Original amsmath version  \MH_if_boolean:nT {continue_measuring}{ \EQ_measure_align: }  \phantom{\boxz@}}  \newcount\g_EQ_temprow_int  \MH_new_boolean:n {still_in_samerow}  \MH_new_boolean:n {continue_measuring}  \def\EQ_measure_align:{%  \if_num:w \g_EQ_temprow_int=\row@  \MH_set_boolean_T:n {still_in_samerow}  \else:  \if_num:w \g_EQ_temprow_int>\row@  \global\MH_set_boolean_F:n {continue_measuring}  \fi:  \MH_set_boolean_F:n {still_in_samerow}  \global\@tempdimc=\@tempdimb  \global\@tempdimb=\g_EQ_bottomrow_depth_dim  \fi:  \MH_if_boolean:nTF {continue_measuring}{  \global\g_EQ_temprow_int=\row@  \@tempcnta=\row@  \if_num:w \@tempcnta=\z@  \@tempdima=\g_EQ_toprow_height_dim  \g_EQ_toprow_height_dim=\ht\z@\relax  \if_dim:w \g_EQ_toprow_height_dim<\@tempdima  \g_EQ_toprow_height_dim\@tempdima  \fi:  \fi:  \MH_if_boolean:nTF {still_in_samerow}{  \@tempdima=\g_EQ_bottomrow_depth_dim  \g_EQ_bottomrow_depth_dim=\dp\z@\relax  \if_dim:w \g_EQ_bottomrow_depth_dim<\@tempdima  \g_EQ_bottomrow_depth_dim\@tempdima  \fi:  }{  \g_EQ_bottomrow_depth_dim\dp\z@\relax  }  }{  \global\g_EQ_bottomrow_depth_dim=\@tempdimc  }  \global\g_EQ_toprow_height_dim\g_EQ_toprow_height_dim  \global\g_EQ_bottomrow_depth_dim\g_EQ_bottomrow_depth_dim}  \def\EQ_place_tag:N #1{%  \tag*{\makebox[\g_EQ_widesttag_dim][#1]{%  \EQ_vertical_tag_adjustment:n {\usebox{\EQ_tag_box}}}}}  \def\EQ_vertical_tag_adjustment:n #1{{%  \@tempdima\z@\@tempdimb\z@  \@tempdimc=\dp\strutbox  \if_dim:w \g_EQ_toprow_height_dim<\baselineskip  \MH_setlength:dn  \@tempdima{\g_EQ_toprow_height_dim-\baselineskip}  \else:  \MH_setlength:dn \@tempdima{-\normallineskip}  \fi:  \if_dim:w \g_EQ_toptag_height_dim>\g_EQ_toprow_height_dim  \if_dim:w \g_EQ_toptag_height_dim>\baselineskip  \MH_addtolength:dn \@tempdima  {-\g_EQ_toptag_height_dim+\baselineskip-\normallineskip}  \fi:  \fi:  \if_dim:w \g_EQ_bottomrow_depth_dim<\@tempdimc  \MH_setlength:dn \@tempdimb  {\g_EQ_bottomrow_depth_dim-\@tempdimc}  \fi:  \if_dim:w \g_EQ_bottomtag_depth_dim>\g_EQ_bottomrow_depth_dim  \if_dim:w \g_EQ_bottomtag_depth_dim<\@tempdimc  \else:  \MH_addtolength:dn \@tempdimb  {-\g_EQ_bottomtag_depth_dim+\@tempdimc}  \fi:  \fi:  \raisebox{-0.5\@tempdima+0.5\@tempdimb}{#1}}}%  \def\EQ_use_mathdisplay:{%  \EQ_outerbox:{\usebox{\EQ_mathdisplay_box}}}  \def\EQ_options_name:{EmphEqOpt}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{equation}{gather}  {\EQ_disable_linebreak:}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{equation*}{gather*}  {\EQ_disable_linebreak:}  \def\EQ_disable_linebreak:{%  \MH_let:NwN \EQ_saved_Let: \Let@  \def\Let@{\def\\{%  \PackageError{empheq}{You~ cannot~ use~ \string\\~ in~ equation!}  {\@eha}}  \MH_let:NwN \Let@ \EQ_saved_Let:  }%  }  \EQ_new_equationtype:nnn {EmphEqEnv}{align}{1}  \EQ_new_equationtype:nnn {EmphEqEnv}{align*}{2}  \def\EQ_modify_linewidth_i:{%  \if_num:w \maxfields@=\tw@  \else:  \setlength{\l_EQ_temp_linewidth_dim}{%  \linewidth-\l_EQ_totalwidth_dim-\widthof{\EQ_outerbox:{}}}%  \fi:}  \def\EQ_modify_linewidth_ii:{\EQ_modify_linewidth_i:}  \def\find_displaywidth_i:{%  \MH_setlength:dn \l_EQ_displaywidth_dim  {\l_EQ_temp_linewidth_dim-\alignsep@}  \if_case:w \l_EQ_alignmentmode_int  \or: % #1:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\alignsep@}%  \or: % #2:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\alignsep@}%  \or: % #3:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%  \or: % #4:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%  \fi:}  \def\find_displaywidth_ii:{\find_displaywidth_i:}  \def\EQ_place_display_i: {\EQ_use_mathdisplay:}  \def\EQ_place_display_ii:{\EQ_place_display_i:}  \EQ_new_equationtype:nnn {EmphEqEnv}{gather}{3}  \EQ_new_equationtype:nnn {EmphEqEnv}{gather*}{4}  \def\EQ_modify_linewidth_iii:{}  \def\EQ_modify_linewidth_iv:{\EQ_modify_linewidth_iii:}  \def\find_displaywidth_iii:{%  \MH_setlength:dn \l_EQ_displaywidth_dim{\totwidth@}%  \if_case:w \l_EQ_alignmentmode_int \or: \or: % #1 & #2:  \or: % #3:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%  \or: % #4:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%  \fi:}  \def\find_displaywidth_iv:{\find_displaywidth_iii:}  \def\EQ_place_display_iii:{\EQ_use_mathdisplay:}  \def\EQ_place_display_iv: {\EQ_place_display_iii:}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{multline}  {flalign}{\MH_set_boolean_T:n {multline}}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{multline*}  {flalign*}{\MH_set_boolean_T:n {multline}}  \MH_new_boolean:n {multline}  \def\EQ_multline_modify_linewidth_tag:{%  \if_case:w \l_EQ_alignmentmode_int  \or: % #1:  \MH_addtolength:dn \l_EQ_temp_linewidth_dim{%  -\g_EQ_widesttag_dim-\multlinetaggap-\multlinegap}%  \or:  \MH_addtolength:dn \l_EQ_temp_linewidth_dim{%  -\g_EQ_widesttag_dim-\multlinetaggap-\multlinegap}%  \or:  \MH_addtolength:dn \l_EQ_temp_linewidth_dim{%  -\@mathmargin-\g_EQ_widesttag_dim-\multlinetaggap}%  \or:  \MH_addtolength:dn  \l_EQ_temp_linewidth_dim{-\@mathmargin-\multlinegap}%  \fi:  }  \def\EQ_multline_modify_linewidth_notag:{%  \if_case:w \l_EQ_alignmentmode_int\or:  \MH_addtolength:dn \l_EQ_temp_linewidth_dim{-2\multlinegap}  \or:  \MH_addtolength:dn \l_EQ_temp_linewidth_dim{-2\multlinegap}  \or:  \MH_addtolength:dn  \l_EQ_temp_linewidth_dim{-\@mathmargin-\multlinegap}%  \or:  \MH_addtolength:dn  \l_EQ_temp_linewidth_dim{-\@mathmargin-\multlinegap}%  \fi:  }  \MH_let:NwN \MTmultlined \multlined  \MH_let:NwN \endMTmultlined \endmultlined  \MH_if_boolean:nTF {good_mult}{  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{multline}{gather}  {\MH_set_boolean_T:n {outer_mult}}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{multline*}{gather*}  {\MH_set_boolean_T:n {outer_mult}}  \def\EQ_modify_linewidth_iii_mult:{  \setlength{\l_EQ_temp_linewidth_dim}{%  \linewidth-\widthof{\EQ_outerbox:{}}}%  \if_dim:w \g_EQ_widesttag_dim>\z@  \EQ_multline_modify_linewidth_tag:  \else:  \EQ_multline_modify_linewidth_notag:  \fi:  \MH_setlength:dn \l_MT_multwidth_dim{\l_EQ_temp_linewidth_dim}  }  \def\EQ_modify_linewidth_iv_mult:{\EQ_modify_linewidth_iii_mult:}  \def\find_displaywidth_iii_mult:{%  \MH_setlength:dn \l_EQ_displaywidth_dim{\totwidth@}%  \if_case:w \l_EQ_alignmentmode_int \or: \or: % #1 & #2:  \or: % #3:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%  \or: % #4:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%  \fi:}  \def\find_displaywidth_iv_mult:{\find_displaywidth_iii_mult:}  \def\EQ_place_display_iii_mult:{  \if_case:w \l_EQ_alignmentmode_int  \or: % #1:  \if_dim:w \g_EQ_widesttag_dim>\z@  \abovedisplayshortskip=\abovedisplayskip  \rlap{  \kern-.5\linewidth  \kern\multlinegap  \EQ_use_mathdisplay:  }  \else:  \EQ_use_mathdisplay:  \fi:  \or: % #2:  \if_dim:w \g_EQ_widesttag_dim>\z@  \llap{  \EQ_use_mathdisplay:  \kern-.5\linewidth  \kern\multlinegap  }%  \else:  \EQ_use_mathdisplay:  \fi:  \or: % #3:  \EQ_use_mathdisplay:  \or: % #4:  \EQ_use_mathdisplay:  \fi:  }  \def\EQ_place_display_iv_mult: {\EQ_place_display_iii_mult:}  }{  \def\EQ_generic_multline:nnnnn #1#2#3#4#5{%  \hskip1sp#2#3{{}#5}#4%  \if:w *#1\relax\else:\notag\fi:}  \def\multleft{\@ifstar{%  \MH_if_boolean:nTF {multlined}{  \def\EQ_next:{\EQ_multlined_left:n}  }{  \def\EQ_next:{  \EQ_generic_multline:nnnnn {*}{}{\mathrlap}{&&&&&}}  }  \EQ_next:}{%  \MH_if_boolean:nTF {multlined}{  \def\EQ_next:{\EQ_multlined_left:n}%  }{  \def\EQ_next:{  \EQ_generic_multline:nnnnn {}{}{\mathrlap}{&&&&&}}  }  \EQ_next:}}%  \def\multcenter{\@ifstar{%  \MH_if_boolean:nTF {multlined}{  \def\EQ_next:{\EQ_multlined_center:n}%  }{  \def\EQ_next:{  \EQ_generic_multline:nnnnn {*}{&&}{\mathclap}{&&&}}  }  \EQ_next:}{%  \MH_if_boolean:nTF {multlined}{  \def\EQ_next:{\EQ_multlined_center:n }%  }{  \def\EQ_next:{  \EQ_generic_multline:nnnnn {}{&&}{\mathclap}{&&&}}  }  \EQ_next:}}%  \def\multright{\@ifstar{%  \MH_if_boolean:nTF {multlined}{  \def\EQ_next:{\EQ_multlined_right:n }%  }{  \def\EQ_next:{  \EQ_generic_multline:nnnnn {*}{&&&&&}{\mathllap}{}}  }  \EQ_next:}{%  \MH_if_boolean:nTF {multlined}{  \def\EQ_next:{\EQ_multlined_right:n }%  }{  \def\EQ_next:{  \EQ_generic_multline:nnnnn {}{&&&&&}{\mathllap}{}}  }  \EQ_next:}}  \def\multfirst{%  \MH_if_boolean:nTF {multlined}{  \def\EQ_next:{\EQ_multlined_left:n }%  }{  \if_case:w \l_EQ_alignmentmode_int  \or: % #1:  \def\EQ_next:{\multleft}%  \or: % #2:  \def\EQ_next:{\multleft*}%  \or: % #3:  \def\EQ_next:{\multleft}%  \or: % #4:  \def\EQ_next:{\multleft*}%  \fi:  }  \EQ_next:}  \def\multmiddle{%  \def\EQ_next:{%  \MH_if_boolean:nTF {multlined}{  \expandafter\EQ_multlined_center:n  }{  \expandafter\multcenter  }  }%  \@ifstar{\EQ_next:}{\EQ_next:}}  \def\multlast{%  \MH_if_boolean:nTF {multlined}{  \def\EQ_next:{\EQ_multlined_right:n }%  }{  \if_case:w \l_EQ_alignmentmode_int  \or: % #1:  \def\EQ_next:{\multright*}%  \or: % #2:  \def\EQ_next:{\multright}%  \or: % #3:  \def\EQ_next:{\multright*}%  \or: % #4:  \def\EQ_next:{\multright}%  \fi:  }  \EQ_next:}  \MH_new_boolean:n {multlined}  \newdimen\multlinedwidth  \MH_setlength:dn \multlinedwidth{.7\linewidth}  \renewenvironment{multlined}%  {\MH_nospace_ifnextchar:Nnn [ {\EQ_multlined_I:w}  {\EQ_multlined_I:w[c]}  }  { \endaligned }  \def\EQ_multlined_I:w[#1]{%  \MH_nospace_ifnextchar:Nnn[ {\EQ_multlined_II:w[#1]}  {\EQ_multlined_II:w[#1][\multlinedwidth]}}  \def\EQ_multlined_II:w[#1][#2]{%  \MH_set_boolean_T:n {multlined}  \MH_let:NwN \Let@\MT_saved_Let:  \if:w t#1\relax \EQ_multlined_III:nn {#1}{#2}%  \else:  \if:w b#1\relax \EQ_multlined_III:nn {#1}{#2}%  \else:  \if:w c#1\relax \EQ_multlined_III:nn {#1}{#2}%  \else:  \EQ_multlined_III:nn {#2}{#1}%  \fi:  \fi:  \fi:  \mkern-\thinmuskip  \EQ_next:}  \def\EQ_multlined_III:nn #1#2{%  \def\EQ_next:{\setlength\multlinedwidth{#2}%  \start@aligned{#1}{\thr@@}}}  \def\EQ_multlined_left:n #1{%  \mathrlap{#1}&\hskip.5\multlinedwidth&&\hskip.5\multlinedwidth&&}  \def\EQ_multlined_center:n #1{%  &\hskip.5\multlinedwidth&&\mathclap{#1}\hskip.5\multlinedwidth&&}  \def\EQ_multlined_right:n #1{%  &\hskip.5\multlinedwidth&&\hskip.5\multlinedwidth&&\mathllap{#1}}  }  \EQ_new_equationtype:nnn {EmphEqEnv}{flalign}{5}  \EQ_new_equationtype:nnn {EmphEqEnv}{flalign*}{6}  \def\EQ_modify_linewidth_v:{%  \setlength{\l_EQ_temp_linewidth_dim}{%  \linewidth-\l_EQ_totalwidth_dim-\widthof{\EQ_outerbox:{}}}%  \if_dim:w \g_EQ_widesttag_dim>\z@  \MH_if_boolean:nTF {multline}{  \EQ_multline_modify_linewidth_tag:  }{  \if_case:w \l_EQ_alignmentmode_int  \or: % #1:  \MH_addtolength:dn \l_EQ_temp_linewidth_dim  {-\g_EQ_widesttag_dim-\mintagsep}  \or: % #2:  \MH_addtolength:dn \l_EQ_temp_linewidth_dim  {-\g_EQ_widesttag_dim-\mintagsep}%  \or: % #3:  \MH_addtolength:dn \l_EQ_temp_linewidth_dim  {-\g_EQ_widesttag_dim-\mintagsep}  \or: % #4:  \MH_addtolength:dn \l_EQ_temp_linewidth_dim  {-\@mathmargin}  \fi:  }  \else:  \MH_if_boolean:nT {multline}{  \EQ_multline_modify_linewidth_notag:  }  \fi:}  \def\EQ_modify_linewidth_vi:{\EQ_modify_linewidth_v:}  \def\find_displaywidth_v:{%  \MH_setlength:dn  \l_EQ_displaywidth_dim{\l_EQ_temp_linewidth_dim}}  \def\find_displaywidth_vi:{\find_displaywidth_v:}  \def\EQ_place_display_v:{%  \if_case:w \l_EQ_alignmentmode_int  \or: % #1:  \if_dim:w \g_EQ_widesttag_dim>\z@  \MH_if_boolean:nTF {multline}{  \rlap{\kern\multlinegap \kern-.5\linewidth  \EQ_use_mathdisplay:  \kern-\mintagsep \kern\multlinetaggap}%  }{  \rlap{\kern-.5\linewidth\EQ_use_mathdisplay:}%  }  \else:  \EQ_use_mathdisplay:  \fi:  \or: % #2:  \if_dim:w \g_EQ_widesttag_dim>\z@  \MH_if_boolean:nTF {multline}{  \llap{\kern-\mintagsep \kern\multlinetaggap  \EQ_use_mathdisplay:  \kern\multlinegap \kern-.5\linewidth}%  }{  \llap{\EQ_use_mathdisplay:\kern-.5\linewidth}%  }  \else:  \EQ_use_mathdisplay:  \fi:  \or: % #3:  \MH_if_boolean:nF {multline}{ \kern-\multlinetaggap }  \EQ_use_mathdisplay:  \or: % #4:  \if_dim:w \g_EQ_widesttag_dim>\z@  \else:  \MH_if_boolean:nF {multline}{ \kern-\@mathmargin }  \fi:  \EQ_use_mathdisplay:  \fi:  \MH_set_boolean_F:n {multline}}  \def\EQ_place_display_vi:{\EQ_place_display_v:}  \EQ_new_equationtype_arg:nnn {EmphEqEnv}{alignat}{7}  \EQ_new_equationtype_arg:nnn {EmphEqEnv}{alignat*}{8}  \def\EQ_modify_linewidth_vii:{}  \def\EQ_modify_linewidth_viii:{\EQ_modify_linewidth_vii:}  \def\find_displaywidth_vii:{%  \MH_setlength:dn \l_EQ_displaywidth_dim{\totwidth@}%  \if_case:w \l_EQ_alignmentmode_int  \or: % #1:  \or: % #2:  \or: % #3:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\eqnshift@}%  \or: % #4:  \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%  \fi:}  \def\find_displaywidth_viii:{\find_displaywidth_vii:}  \def\EQ_place_display_vii:{\EQ_use_mathdisplay:}  \def\EQ_place_display_viii:{\EQ_place_display_vii:}  \define@key{\EQ_options_name:}{box}{\def\EQ_outerbox:{#1}}  \MH_keyval_alias:nnn {\EQ_options_name:}{outerbox}{box}  \def\EQ_marginbox:nn #1#2{%  \settowidth{\@tempdima}{#2}%  \makebox[\z@]{\hspace{\@tempdima}#1{#2}}}  \define@key{\EQ_options_name:}{marginbox}{%  \def\EQ_outerbox:{\EQ_marginbox:nn {#1}}}  \define@key{\EQ_options_name:}{innerbox}{\def\EQ_innerbox:{#1}}  \define@key{\EQ_options_name:}{left}{\def\EQ_left_side:{#1}}  \define@key{\EQ_options_name:}{right}{\def\EQ_right_side:{#1}}  \newcommand*\empheqset[1]{\setkeys{\EQ_options_name:}{#1}}  \def\EQ_upgrade_error:{%  \PackageError{empheq}  {You~ are~ using~ the~ old~ syntax!\MessageBreak  The~ `empheq'~ environment~ takes~ a~ mandatory~  argument~ now.\MessageBreak  You~ need~ to~ exit~ and~ change~ your~ source~ file.}  {It~ won't~ work,~ trust me.~ Press~ `X'~ now.}}  \define@key{\EQ_options_name:}{boxtype}{\EQ_upgrade_error:}  \define@key{\EQ_options_name:}{Left}{\EQ_upgrade_error:}  \define@key{\EQ_options_name:}{Right}{\EQ_upgrade_error:}  \let\empheqeqrefbase\textup  \newenvironment{empheq}[2][]{%  \MH_let:NwN\EQ_saved_maketag: \maketag@@@%  \renewcommand\eqref[1]{\empheqeqrefbase{%  \let\maketag@@@\EQ_saved_maketag:%  \tagform@{\ref{##1}}}}  \setkeys{EmphEqEnv}{#2}\setkeys{\EQ_options_name:}{#1}%  \EmphEqMainEnv}{\endEmphEqMainEnv}  \newcommand*\DeclareLeftDelimiter[2][]{%  \EQ_declare_left_delimiter:nnnn {#1}{#2}{}{}%  \EQ_declare_left_delimiter:nnnn {#1}{#2}{big}{\EQ_innerbox:}}  \def\EQ_declare_left_delimiter:nnnn #1#2#3#4{%  \@namedef{empheq#3\expandafter\@gobble\string#2}{%  \left#2%  \mkern-\thinmuskip  \vphantom{#4{\parbox{.5\maxdimen}{%  \EQ_predisplay_adjustment:  \EQ_prevent_vertical_space:  \usebox{\EQ_tag_box}%  \EQ_postdisplay_adjustment:}}}%  \right.%  \kern-\nulldelimiterspace #1}}  \newcommand*\DeclareRightDelimiter[2][]{%  \EQ_declare_right_delimiter:nnnn {#1}{#2}{}{}%  \EQ_declare_right_delimiter:nnnn {#1}{#2}{big}{\EQ_innerbox:}}  \def\EQ_declare_right_delimiter:nnnn #1#2#3#4{%  \@namedef{empheq#3\expandafter\@gobble\string#2}{%  \kern-\nulldelimiterspace  #1%  \left.%  \vphantom{#4{\parbox{.5\maxdimen}{%  \EQ_predisplay_adjustment:  \EQ_prevent_vertical_space:  \usebox{\EQ_tag_box}%  \EQ_postdisplay_adjustment:}}}%  \mkern-\thinmuskip  \right#2}}  \DeclareLeftDelimiter{\lbrace}  \DeclareRightDelimiter{\rbrace}  \DeclareLeftDelimiter{\lbrack}  \DeclareRightDelimiter{\rbrack}  \DeclareLeftDelimiter{\langle}  \DeclareRightDelimiter{\rangle}  \DeclareLeftDelimiter{\lvert}  \DeclareRightDelimiter{\rvert}  \DeclareLeftDelimiter{\lVert}  \DeclareRightDelimiter{\rVert}  \DeclareLeftDelimiter{\lfloor}  \DeclareRightDelimiter{\rfloor}  \DeclareLeftDelimiter{\lceil}  \DeclareRightDelimiter{\rceil}  \DeclareLeftDelimiter{\lparen}  \DeclareRightDelimiter{\rparen}  \def\EQ_typeset_tags_hook:{}  \def\EQ_typeset_display_hook:{}  \g@addto@macro\EQ_typeset_display_hook:{  \def\SK@@label#1>#2\SK@{}  }  \@namedef{SK@AmSequation} {\SK@equationtrue}  \@namedef{SK@AmSequation*} {\SK@equationtrue}  \@namedef{SK@AmSalign} {\SK@equationtrue}  \@namedef{SK@AmSalign*} {\SK@equationtrue}  \@namedef{SK@AmSalignat} {\SK@equationtrue}  \@namedef{SK@AmSalignat*} {\SK@equationtrue}  \@namedef{SK@AmSgather} {\SK@equationtrue}  \@namedef{SK@AmSgather*} {\SK@equationtrue}  \@namedef{SK@AmSmultline} {\SK@equationtrue}  \@namedef{SK@AmSmultline*} {\SK@equationtrue}  \@namedef{SK@AmSflalign} {\SK@equationtrue}  \@namedef{SK@AmSflalign*} {\SK@equationtrue}  \AtBeginDocument{  \@ifundefined{Hy@linkcounter}{\newcount\Hy@linkcounter}{}  }  \g@addto@macro\EQ_typeset_display_hook:{  \MH_let:NwN \hyper@refstepcounter\@gobble  }  \g@addto@macro\EQ_typeset_display_hook:{  \let\NCC@ignorepar\relax  }  \g@addto@macro\EQ_typeset_tags_hook:{  \let\NCC@ignorepar\relax  }  \g@addto@macro\EQ_typeset_tags_hook:{  \MH_let:NwN\TagsPlusEndmarks\relax  \MH_let:NwN\RestoreTags\relax  }  \g@addto@macro\EQ_typeset_display_hook:{  \MH_let:NwN\TagsPlusEndmarks\relax  \MH_let:NwN\RestoreTags\relax  }  \g@addto@macro\EQ_typeset_display_hook:{  \MH_let:NwN\ltx@label\MT_gobblelabel:w  \MH_let:NwN \GenericError \@gobblefour  }  \AtBeginDocument{%  \@ifpackageloaded{fancybox}{%  \@ifpackageloaded{color}{\definecolor{shadowcolor}{rgb}{0,0,0}}%  {\newcommand*\textcolor[2]{\normalcolor{#2}}}%  \MH_new_boolean:n {shadowbox_star}  \renewcommand*\shadowbox{%  \@ifstar{\MH_set_boolean_T:n {shadowbox_star}  \VerbBox\EQ_shadowbox:n}  {\MH_set_boolean_F:n {shadowbox_star}  \VerbBox\EQ_shadowbox:n}}  \def\EQ_shadowbox:n #1{%  \sbox{\z@}{\fbox{#1}}%  \MH_if_boolean:nTF {shadowbox_star}{  \MH_setlength:dn \@tempdima{\z@}%  }{  \MH_setlength:dn \@tempdima{\dp\z@+\shadowsize}%  }  \raisebox{\@tempdima}{%  \makebox[\z@][l]{%  \kern\shadowsize \textcolor{shadowcolor}{%  \rule[-\dp\z@-\shadowsize]{\wd\z@}{\shadowsize}}%  }%  \usebox\z@\textcolor{shadowcolor}{%  \rule[-\dp\z@-\shadowsize]{\shadowsize}{\ht\z@+\dp\z@}}}}%  }{}%  }  \def\EQ_overload_ams_begin:n #1{%  \MH_let:cc {AmS#1}{#1}%  \MH_let:cc {AmS#1*}{#1*}  }  \def\EQ_overload_ams_end:n #1{%  \MH_let:cc {endAmS#1}{endAmSalign}  }  \AtBeginDocument{  \EQ_overload_ams_begin:n {equation}  \MH_let:cc {endAmSequation}{endequation}  \MH_let:cc {endAmSequation*}{endequation*}  \MH_if_boolean:nT {overload_ams}{  \def\EQ_renew_ams_environment:n #1{%  \MaybeMHPrecedingSpacesOff  \renewenvironment{#1}[1][]{%  \MH_let:NwN\EQ_saved_maketag: \maketag@@@%  \renewcommand\eqref[1]{\empheqeqrefbase{%  \let\maketag@@@\EQ_saved_maketag:%  \tagform@{\ref{####1}}}}  \setkeys{\EQ_options_name:}{##1}%  \setkeys{EmphEqEnv}{AmS#1}%  \EmphEqMainEnv  }{\endEmphEqMainEnv}  \MHPrecedingSpacesOn  }  \EQ_new_equationtype:nnn {EmphEqEnv}{AmSalign} {1}  \EQ_new_equationtype:nnn {EmphEqEnv}{AmSalign*} {2}  \EQ_new_equationtype:nnn {EmphEqEnv}{AmSgather} {3}  \EQ_new_equationtype:nnn {EmphEqEnv}{AmSgather*} {4}  \EQ_new_equationtype:nnn {EmphEqEnv}{AmSflalign} {5}  \EQ_new_equationtype:nnn {EmphEqEnv}{AmSflalign*}{6}  \EQ_new_equationtype_arg:nnn {EmphEqEnv}{AmSalignat} {7}  \EQ_new_equationtype_arg:nnn {EmphEqEnv}{AmSalignat*}{8}  \EQ_overload_ams_begin:n {gather}  \MH_let:cc {endAmSgather}{endgather}  \MH_let:cc {endAmSgather*}{endAmSgather}  \EQ_renew_ams_environment:n {gather}  \EQ_renew_ams_environment:n {gather*}  \EQ_overload_ams_begin:n {equation}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv} {AmSequation}  {AmSgather}{\EQ_disable_linebreak:}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSequation*}  {AmSgather*}{\EQ_disable_linebreak:}  \EQ_renew_ams_environment:n {equation}  \EQ_renew_ams_environment:n {equation*}  \EQ_overload_ams_begin:n {align}  \MH_let:cc {endAmSalign}{endalign}  \EQ_overload_ams_end:n {align*}  \EQ_renew_ams_environment:n {align}  \EQ_renew_ams_environment:n {align*}  \EQ_overload_ams_begin:n {flalign}  \EQ_overload_ams_end:n {flalign}  \EQ_overload_ams_end:n {flalign*}  \EQ_renew_ams_environment:n {flalign}  \EQ_renew_ams_environment:n {flalign*}  \EQ_overload_ams_begin:n {alignat}  \EQ_overload_ams_end:n {alignat}  \EQ_overload_ams_end:n {alignat*}  \MaybeMHPrecedingSpacesOff  \newcommand*\EQ_alignat_optional:w [1][]{  \setkeys{\EQ_options_name:}{#1}  \EmphEqMainEnv}  \MHPrecedingSpacesOn  \renewenvironment{alignat}[1]{  \MH_let:NwN\EQ_saved_maketag: \maketag@@@%  \renewcommand\eqref[1]{\empheqeqrefbase{%  \let\maketag@@@\EQ_saved_maketag:%  \tagform@{\ref{##1}}}}  \setkeys{EmphEqEnv}{AmSalignat=#1}  \EQ_alignat_optional:w}  {\endEmphEqMainEnv}  \renewenvironment{alignat*}[1]{%  \MH_let:NwN\EQ_saved_maketag: \maketag@@@%  \renewcommand\eqref[1]{\empheqeqrefbase{%  \let\maketag@@@\EQ_saved_maketag:%  \tagform@{\ref{##1}}}}  \setkeys{EmphEqEnv}{AmSalignat*=#1}%  \EQ_alignat_optional:w}%  {\endEmphEqMainEnv}  \DeclareRobustCommand{\[}{\begin{AmSequation*}}  \DeclareRobustCommand{\]}{\end{AmSequation*}}  \MH_keyval_alias:nnn {EmphEqEnv}{gather} {AmSgather}  \MH_keyval_alias:nnn {EmphEqEnv}{gather*} {AmSgather*}  \MH_keyval_alias:nnn {EmphEqEnv}{align} {AmSalign}  \MH_keyval_alias:nnn {EmphEqEnv}{align*} {AmSalign*}  \MH_keyval_alias:nnn {EmphEqEnv}{flalign} {AmSflalign}  \MH_keyval_alias:nnn {EmphEqEnv}{flalign*}{AmSflalign*}  \MH_keyval_alias:nnn {EmphEqEnv}{alignat} {AmSalignat}  \MH_keyval_alias:nnn {EmphEqEnv}{alignat*}{AmSalignat*}  \MH_if_boolean:nT {good_mult}{  \EQ_overload_ams_begin:n {multline}  \MH_let:cc {endAmSmultline}{endmultline}  \MH_let:cc {endAmSmultline*}{endAmSmultline}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSmultline}  {AmSgather}{\MH_set_boolean_T:n {outer_mult}}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSmultline*}  {AmSgather*}{\MH_set_boolean_T:n {outer_mult}}  \EQ_renew_ams_environment:n {multline}  \EQ_renew_ams_environment:n {multline*}  }  \MH_if_boolean:nT {overload_amsII}{  \MH_protected:\def\[#1\]{\begin{equation*} #1\end{equation*}}  \MH_if_boolean:nF {good_mult}{  \EQ_overload_ams_begin:n {multline}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSmultline}  {AmSflalign}{\MH_set_boolean_T:n {multline}}  \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSmultline*}  {AmSflalign*}{\MH_set_boolean_T:n {multline}}  \EQ_renew_ams_environment:n {multline}  \EQ_renew_ams_environment:n {multline*}  }  }  }  }  \if\g@EQ@ntheorem@support@bool  \else  \expandafter\endinput  \fi  \def\default_raisetag:{\nobreak}  \def\raisetag#1{  \skip@#1\relax  \xdef\raise@tag{\default_raisetag:  \vskip\iftagsleft@\else:-\fi:\the\skip@\relax}}  \MH_let:NwN\raise@tag\default_raisetag:  \def\displ@y@{\@display@init{%  \global\column@\z@ \global\dspbrk@lvl\m@ne  \global\tag@false \global\MH_let:NwN\raise@tag\default_raisetag:  }}  \def\MT_gobblelabel:w #1{\@ifnextchar[{\EQ_gobbleoptional:w}{}}  \def\EQ_gobbleoptional:w [#1]{}  \def\gmeasure@#1{%  \begingroup  \measuring@true  \totwidth@\z@  \global\MH_let:NwN\tag@lengths\@empty  \savecounters@  \setbox\@ne\vbox{%  \everycr{\noalign{\global\tag@false  \global\MH_let:NwN\raise@tag\default_raisetag:  \global\column@\z@}}%  \MH_let:NwN\label\MT_gobblelabel:w  \halign{%  \setboxz@h{$\m@th\displaystyle{##}$}%  \if_dim:w \wdz@>\totwidth@  \global\totwidth@\wdz@  \fi:  &\setboxz@h{\strut@{##}}%  \savetaglength@  \crcr  #1%  \math@cr@@@  }%  }%  \restorecounters@  \if@fleqn  \global\advance\totwidth@\@mathmargin  \fi:  \iftagsleft@  \if_dim:w \totwidth@>\displaywidth  \global\MH_let:NwN\gdisplaywidth@\totwidth@  \else:  \global\MH_let:NwN\gdisplaywidth@\displaywidth  \fi:  \fi:  \endgroup  }  \def\measure@#1{%  \begingroup  \measuring@true  \global\eqnshift@\z@  \global\alignsep@\z@  \global\MH_let:NwN\tag@lengths\@empty  \global\MH_let:NwN\field@lengths\@empty  \savecounters@  \global\setbox0\vbox{%  \MH_let:NwN\math@cr@@@\math@cr@@@align@measure  \everycr{\noalign{\global\tag@false  \global\MH_let:NwN\raise@tag\default_raisetag:  \global\column@\z@}}%  \MH_let:NwN\label\MT_gobblelabel:w  \global\row@\z@  \tabskip\z@  \halign{\span\align@preamble\crcr  #1%  \math@cr@@@  \global\column@\z@  \add@amps\maxfields@\cr  }%  }%  \restorecounters@  \ifodd\maxfields@  \global\advance\maxfields@\@ne  \fi:  \if_num:w \xatlevel@=\tw@  \if_num:w \maxfields@<\thr@@  \MH_let:NwN\xatlevel@\z@  \fi:  \fi:  \setbox\z@\vbox{%  \unvbox\z@ \unpenalty \global\setbox\@ne\lastbox  }%  \global\totwidth@\wd\@ne  \if@fleqn \global\advance\totwidth@\@mathmargin \fi:  \global\MH_let:NwN\maxcolumn@widths\@empty  \begingroup  \MH_let:NwN\or:\relax  \loop  \global\setbox\@ne\hbox{%  \unhbox\@ne \unskip \global\setbox\thr@@\lastbox  }%  \ifhbox\thr@@  \xdef\maxcolumn@widths{ \or: \the\wd\thr@@ \maxcolumn@widths}%  \repeat  \endgroup  \dimen@\displaywidth  \advance\dimen@-\totwidth@  \if_case:w \xatlevel@  \global\alignsep@\z@  \MH_let:NwN\minalignsep\z@  \@tempcntb\z@  \if@fleqn  \@tempcnta\@ne  \global\eqnshift@\@mathmargin  \else:  \@tempcnta\tw@  \global\eqnshift@\dimen@  \global\divide\eqnshift@\@tempcnta  \fi:  \or:  \@tempcntb\maxfields@  \divide\@tempcntb\tw@  \@tempcnta\@tempcntb  \advance\@tempcntb\m@ne  \if@fleqn  \global\eqnshift@\@mathmargin  \global\alignsep@\dimen@  \global\divide\alignsep@\@tempcnta  \else:  \global\advance\@tempcnta\@ne  \global\eqnshift@\dimen@  \global\divide\eqnshift@\@tempcnta  \global\alignsep@\eqnshift@  \fi:  \or:  \@tempcntb\maxfields@  \divide\@tempcntb\tw@  \global\advance\@tempcntb\m@ne  \global\@tempcnta\@tempcntb  \global\eqnshift@\z@  \global\alignsep@\dimen@  \if@fleqn  \global\advance\alignsep@\@mathmargin\relax  \fi:  \global\divide\alignsep@\@tempcntb  \fi:  \if_dim:w \alignsep@<\minalignsep\relax  \global\alignsep@\minalignsep\relax  \if_dim:w \eqnshift@>\z@  \if@fleqn\else:  \global\eqnshift@\displaywidth  \global\advance\eqnshift@-\totwidth@  \global\advance\eqnshift@-\@tempcntb\alignsep@  \global\divide\eqnshift@\tw@  \fi:  \fi:  \fi:  \if_dim:w \eqnshift@<\z@  \global\eqnshift@\z@  \fi:  \calc@shift@align  \global\tagshift@\totwidth@  \global\advance\tagshift@\@tempcntb\alignsep@  \if@fleqn  \if_num:w \xatlevel@=\tw@  \global\advance\tagshift@-\@mathmargin\relax  \fi:  \else:  \global\advance\tagshift@\eqnshift@  \fi:  \iftagsleft@ \else:  \global\advance\tagshift@-\displaywidth  \fi:  \dimen@\minalignsep\relax  \global\advance\totwidth@\@tempcntb\dimen@  \if_dim:w \totwidth@>\displaywidth  \global\MH_let:NwN\displaywidth@\totwidth@  \else:  \global\MH_let:NwN\displaywidth@\displaywidth  \fi:  \endgroup  }  \def\EQ_multline_labelhack:n #1{%  \begingroup\measuring@false\label@in@display{#1}\endgroup}  \def\EQ_multline_labelhack_opt:nw #1[#2]{%  \begingroup\measuring@false\label@in@display{#1}[#2]\endgroup}  \def\multline@#1{%  \Let@  \@display@init{\global\advance\row@\@ne \global\dspbrk@lvl\m@ne}%  \chardef\dspbrk@context\z@  \restore@math@cr  \MH_let:NwN\tag\tag@in@align  \global\tag@false \global\MH_let:NwN\raise@tag\default_raisetag:  \mmeasure@{#1}%  \MH_let:NwN\tag\gobble@tag  \MH_let:NwN\label\MT_gobblelabel:w  \tabskip \if@fleqn \@mathmargin \else: \z@skip \fi:  \totwidth@\displaywidth  \if@fleqn  \advance\totwidth@-\@mathmargin  \fi:  \halign\bgroup  \hbox to\totwidth@{%  \if@fleqn  \hskip \@centering \relax  \else:  \hfil  \fi:  \strut@  $\m@th\displaystyle{}##\endmultline@math%$  \hfil  }%  \crcr  \if@fleqn  \hskip-\@mathmargin  \def\multline@indent{\hskip\@mathmargin}% put it back  \else:  \hfilneg  \def\multline@indent{\hskip\multlinegap}%  \fi:  \iftagsleft@  \iftag@  \begingroup  \ifshifttag@  \rlap{\vbox{%  \normalbaselines  \hbox{%  \strut@  \make@display@tag  }%  \vbox to\lineht@{}%  \raise@tag  }}%  \multline@indent  \else:  \setbox\z@\hbox{\make@display@tag}%  \dimen@\@mathmargin \advance\dimen@-\wd\z@  \if_dim:w \dimen@<\multlinetaggap  \dimen@\multlinetaggap  \fi:  \box\z@ \hskip\dimen@\relax  \fi:  \endgroup  \else:  \multline@indent  \fi:  \else:  \multline@indent  \fi:  #1%  }  \def\mmeasure@#1{%  \begingroup  \measuring@true  \def\label##1{%  \@ifnextchar[  {\EQ_multline_labelhack_opt:nw {##1}}  {\EQ_multline_labelhack:n {##1}}  }  \def\math@cr@@@{\cr}%  \MH_let:NwN\shoveleft\@iden \MH_let:NwN\shoveright\@iden  \savecounters@  \global\row@\z@  \setbox\@ne\vbox{%  \global\MH_let:NwN\df@tag\@empty  \halign{%  \setboxz@h{\@lign$\m@th\displaystyle{}##$}%  \iftagsleft@  \if_num:w \row@=\@ne  \global\totwidth@\wdz@  \global\lineht@\ht\z@  \fi:  \else:  \global\totwidth@\wdz@  \global\lineht@\dp\z@  \fi:  \crcr  #1%  \crcr  }%  }%  \if_meaning:NN  \df@tag\@empty  \else:  \global\tag@true  \fi:  \if@eqnsw\global\tag@true\fi:  \iftag@  \setboxz@h{%  \if@eqnsw  \stepcounter{equation}%  \tagform@\theequation  \else:  \df@tag  \fi:  }%  \global\tagwidth@\wdz@  \dimen@\totwidth@  \advance\dimen@\tagwidth@  \advance\dimen@\multlinetaggap  \iftagsleft@\else:  \if@fleqn  \advance\dimen@\@mathmargin  \fi:  \fi:  \if_dim:w \dimen@>\displaywidth  \global\shifttag@true  \else:  \global\shifttag@false  \fi:  \fi:  \restorecounters@  \endgroup  }  \newlength\mintagvsep  \mintagvsep5pt  \def\EQ_only_endmark:{%  \MH_set_boolean_T:n {show_manual_tags}  \global\tag@true  \iftagsleft@  \gdef\df@tag{%  \hbox to \displaywidth{%  \hss  \raisebox{-\normallineskip  -\depthof{\EQ_outerbox:{}}  -\heightof{\EQ_outerbox:{}}  -\dp\EQ_mathdisplay_box  -\ht\EQ_mathdisplay_box}  [0pt][0pt]{\PotEndMark{\maketag@@@}}}}  \else:  \gdef\df@tag{%  \raisebox{-\dp\EQ_mathdisplay_box  -\depthof{\EQ_outerbox:{}}}  {\PotEndMark{\maketag@@@}}}%  \fi:}  \def\EQ_tag_plus_endmark:{%  \iftagsleft@  \gdef\maketag@@@##1{%  \hfuzz\displaywidth  \makebox[\widthof{##1}][l]{%  \hbox to \displaywidth{\m@th\normalfont##1\hss  \raisebox{-\dp\EQ_mathdisplay_box  -\depthof{\EQ_outerbox:{}}}  {\PotEndMark{\hss}}}}}%  \else:  \gdef\maketag@@@##1{%  \hbox{\m@th\normalfont##1\llap{\hss\PotEndMark{%  \settoheight{\@tempdima}{\@nameuse{\InTheoType Symbol}}%  \MH_addtolength:dn \@tempdima  {\g_EQ_bottomtag_depth_dim+\mintagvsep}  \setlength{\@tempdimb}  {\g_EQ_bottomrow_depth_dim+\depthof{\EQ_outerbox:{}}  +\depthof{\EQ_innerbox:{}}}  \if_dim:w \@tempdima>\@tempdimb  \MH_setlength:dn \@tempdima{-\dp\EQ_mathdisplay_box  -\@tempdima+\g_EQ_bottomrow_depth_dim}  \addtolength{\@tempdima}{\depthof{\EQ_innerbox:{}}}%  \def\EQ_next:{\raisebox{\@tempdima}}%  \else:  \def\EQ_next:{  \raisebox{-\dp\EQ_mathdisplay_box  -\depthof{\EQ_outerbox:{}}}}%  \fi:\EQ_next:}}}}%  \fi:}  \MH_let:NwN \MT_nonumber: \nonumber  \def\g_EQ_latest_nonzerodepth_row_fint{\z@}  \renewcommand*\nonumber{  \@tempcnta=\row@  \if_num:w \l_EQ_equationtype_int=\thr@@  \advance\@tempcnta\m@ne  \else:  \if_num:w \l_EQ_equationtype_int=4\relax  \advance\@tempcnta\m@ne  \fi:  \fi:  \if_num:w \g_EQ_latest_nonzerodepth_row_fint=\@tempcnta  \else:  \global\g_EQ_bottomtag_depth_dim=-\baselineskip  \fi:  \MT_nonumber:  }  \endinput  %%  %% End of file `empheq.sty'.