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authorKarl Berry <karl@freefriends.org>2014-08-07 21:53:14 +0000
committerKarl Berry <karl@freefriends.org>2014-08-07 21:53:14 +0000
commit37dee28a58d0a9abebc348da10a43e5d45576fa2 (patch)
treefd42c2d90d9708c4bee404e7525c4350f31affb8 /Master/texmf-dist/tex/latex/mathtools/mathtools.sty
parent2ee761738d4c85b1ba6c9f83f026c72cecff5d96 (diff)
mathtools (6aug14)
git-svn-id: svn://tug.org/texlive/trunk@34868 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex/mathtools/mathtools.sty')
-rw-r--r--Master/texmf-dist/tex/latex/mathtools/mathtools.sty1612
1 files changed, 1612 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/mathtools/mathtools.sty b/Master/texmf-dist/tex/latex/mathtools/mathtools.sty
new file mode 100644
index 00000000000..00dd0395921
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/mathtools/mathtools.sty
@@ -0,0 +1,1612 @@
+%%
+%% This is file `mathtools.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% mathtools.dtx (with options: `package')
+%%
+%% This is a generated file.
+%%
+%% Copyright (C) 2002-2011 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 mathtools.dtx
+%% and the derived files
+%% mathtools.sty, mathtools.pdf, mathtools.ins, mathtools.drv.
+%%
+\ProvidesPackage{mathtools}%
+ [2014/07/16 v1.15 mathematical typesetting tools]
+\RequirePackage{keyval,calc}
+\RequirePackage{mhsetup}[2010/01/21]
+\MHInternalSyntaxOn
+ % borrowed from fixltx2e
+\def\EQ_MakeRobust#1{%
+ \@ifundefined{\expandafter\@gobble\string#1}{%
+ \@latex@error{The control sequence `\string#1' is undefined!%
+ \MessageBreak There is nothing here to make robust}%
+ \@eha
+ }%
+ {%
+ \@ifundefined{\expandafter\@gobble\string#1\space}%
+ {%
+ \expandafter\let\csname
+ \expandafter\@gobble\string#1\space\endcsname=#1%
+ \edef\reserved@a{\string#1}%
+ \def\reserved@b{#1}%
+ \edef\reserved@b{\expandafter\strip@prefix\meaning\reserved@b}%
+ \edef#1{%
+ \ifx\reserved@a\reserved@b
+ \noexpand\x@protect\noexpand#1%
+ \fi
+ \noexpand\protect\expandafter\noexpand
+ \csname\expandafter\@gobble\string#1\space\endcsname}%
+ }%
+ {\@latex@info{The control sequence `\string#1' is already robust}}%
+ }%
+}
+\def\forced_EQ_MakeRobust#1{%
+ \@ifundefined{\expandafter\@gobble\string#1}{%
+ \@latex@error{The control sequence `\string#1' is undefined!%
+ \MessageBreak There is nothing here to make robust}%
+ \@eha
+ }%
+ {%
+ % \@ifundefined{\expandafter\@gobble\string#1\space}%
+ % {%
+ \expandafter\let\csname
+ \expandafter\@gobble\string#1\space\endcsname=#1%
+ \edef\reserved@a{\string#1}%
+ \def\reserved@b{#1}%
+ \edef\reserved@b{\expandafter\strip@prefix\meaning\reserved@b}%
+ \edef#1{%
+ \ifx\reserved@a\reserved@b
+ \noexpand\x@protect\noexpand#1%
+ \fi
+ \noexpand\protect\expandafter\noexpand
+ \csname\expandafter\@gobble\string#1\space\endcsname}%
+ % }%
+ % {\@latex@info{The control sequence `\string#1' is already robust}}%
+ }%
+}
+\def\MT_options_name:{mathtools}
+\newcommand*\mathtoolsset[1]{\setkeys{\MT_options_name:}{#1}}
+\MH_new_boolean:n {fixamsmath}
+\DeclareOption{fixamsmath}{
+ \MH_set_boolean_T:n {fixamsmath}
+}
+\DeclareOption{donotfixamsmathbugs}{
+ \MH_set_boolean_F:n {fixamsmath}
+}
+\DeclareOption{allowspaces}{
+ \MH_let:NwN \MaybeMHPrecedingSpacesOff
+ \relax
+ \MH_let:NwN \MH_maybe_nospace_ifnextchar:Nnn \kernel@ifnextchar
+}
+\DeclareOption{disallowspaces}{
+ \MH_let:NwN \MaybeMHPrecedingSpacesOff
+ \MHPrecedingSpacesOff
+ \MH_let:NwN \MH_maybe_nospace_ifnextchar:Nnn \MH_nospace_ifnextchar:Nnn
+}
+\MH_new_boolean:n {robustify}
+\MH_set_boolean_T:n {robustify}
+\DeclareOption{nonrobust}{
+ \MH_set_boolean_F:n {robustify}
+}
+\DeclareOption*{
+ \PassOptionsToPackage{\CurrentOption}{amsmath}
+}
+\ExecuteOptions{fixamsmath,disallowspaces}
+\ProcessOptions\relax
+\MHInternalSyntaxOff
+\RequirePackage{amsmath}[2000/07/18]
+\MHInternalSyntaxOn
+\AtEndOfPackage{\MHInternalSyntaxOff}
+\def\MT_true_false_error:{
+ \PackageError{mathtools}
+ {You~ have~ to~ select~ either~ `true'~ or~ `false'}
+ {I'll~ assume~ you~ chose~ `false'~ for~ now.}
+}
+\MH_if_boolean:nT {robustify}{
+ \EQ_MakeRobust\(
+ \EQ_MakeRobust\)
+ \EQ_MakeRobust\[
+ \EQ_MakeRobust\]
+}
+\def\MT_define_tagform:nwnn #1[#2]#3#4{
+ \@namedef{MT_tagform_#1:n}##1
+ {\maketag@@@{#3\ignorespaces#2{##1}\unskip\@@italiccorr#4}}
+}
+\providecommand*\newtagform[1]{%
+ \@ifundefined{MT_tagform_#1:n}
+ {\@ifnextchar[%
+ {\MT_define_tagform:nwnn #1}%
+ {\MT_define_tagform:nwnn #1[]}%
+ }{\PackageError{mathtools}
+ {The~ tag~ form~ `#1'~ is~ already~ defined\MessageBreak
+ You~ probably~ want~ to~ look~ up~ \@backslashchar renewtagform~
+ instead}
+ {I~ will~ just~ ignore~ your~ wish~ for~ now.}}
+}
+\newtagform{default}{(}{)}
+\providecommand*\renewtagform[1]{%
+ \@ifundefined{MT_tagform_#1:n}
+ {\PackageError{mathtools}
+ {The~ tag~ form~ `#1'~ is~ not~ defined\MessageBreak
+ You~ probably~ want~ to~ look~ up~ \@backslashchar newtagform~ instead}
+ {I~ will~ just~ ignore~ your~ wish~ for~ now.}}
+ {\@ifnextchar[%
+ {\MT_define_tagform:nwnn #1}%
+ {\MT_define_tagform:nwnn #1[]}%
+ }
+}
+\providecommand*\usetagform[1]{%
+ \@ifundefined{MT_tagform_#1:n}
+ {
+ \PackageError{mathtools}{%
+ You~ have~ chosen~ the~ tag~ form~ `#1'\MessageBreak
+ but~ it~ appears~ to~ be~ undefined}
+ {I~ will~ use~ the~ default~ tag~ form~ instead.}%
+ \@namedef{tagform@}{\@nameuse{MT_tagform_default:n}}
+ }
+ { \@namedef{tagform@}{\@nameuse{MT_tagform_#1:n}} }
+ \MH_if_boolean:nT {show_only_refs}{
+ \MH_let:NwN \MT_prev_tagform:n \tagform@
+ \def\tagform@##1{\MT_extended_tagform:n {##1}}
+ }
+}
+\MH_new_boolean:n {manual_tag}
+\MH_new_boolean:n {raw_maketag}
+\MH_let:NwN \MT_AmS_tag_in_align: \tag@in@align
+\def\tag@in@align{
+ \global\MH_set_boolean_T:n {manual_tag}
+ \MT_AmS_tag_in_align:
+}
+\def\tag@in@display#1#{
+ \relax
+ \global\MH_set_boolean_T:n {manual_tag}
+ \tag@in@display@a{#1}
+}
+\def\MT_extended_tagform:n #1{
+ \MH_set_boolean_F:n {raw_maketag}
+ \if_meaning:NN \df@label\@empty
+ \MH_if_boolean:nTF {manual_tag}% this was \MH_if_boolean:nT before
+ { \MH_if_boolean:nTF {show_manual_tags}
+ { \MT_prev_tagform:n {#1} }
+ { \stepcounter{equation} }
+ }{\kern1sp}% this last {\kern1sp} is new.
+ \else:
+ \MH_if_boolean:nTF {manual_tag}
+ { \MH_if_boolean:nTF {show_manual_tags}
+ { \MT_prev_tagform:n {#1} }
+ { \@safe@activestrue
+ \@ifundefined{MT_r_\df@label}
+ { \global\MH_set_boolean_F:n {manual_tag} }
+ { \MT_prev_tagform:n {#1} }
+ \@safe@activesfalse
+ }
+ }
+ {
+ \@safe@activestrue
+ \@ifundefined{MT_r_\df@label}
+ { }
+ { \refstepcounter{equation}\MT_prev_tagform:n {#1} }
+ \@safe@activesfalse
+ }
+ \fi:
+ \global\MH_set_boolean_T:n {raw_maketag}
+}
+\def\MT_extended_maketag:n #1{
+ \ifx\df@label\@empty
+ \MT_maketag:n {#1}
+ \else:
+ \MH_if_boolean:nTF {raw_maketag}
+ {
+ \MH_if_boolean:nTF {show_manual_tags}
+ { \MT_maketag:n {#1} }
+ { \@safe@activestrue
+ \@ifundefined{MT_r_\df@label}
+ { }
+ { \MT_maketag:n {#1} }
+ \@safe@activesfalse
+ }
+ }
+ { \MT_maketag:n {#1} }
+ \fi:
+ \global\MH_set_boolean_F:n {manual_tag}
+}
+\def\MT_extended_eqref:n #1{
+ \protected@write\@auxout{}
+ {\string\MT@newlabel{#1}}
+ \textup{\MT_prev_tagform:n {\ref{#1}}}
+}
+\EQ_MakeRobust\MT_extended_eqref:n
+\newcommand*\refeq[1]{
+ \textup{\ref{#1}}
+}
+\def\MT_extended_refeq:n #1{
+ \protected@write\@auxout{}
+ {\string\MT@newlabel{#1}}
+ \textup{\ref{#1}}
+}
+\newcommand*\MT@newlabel[1]{ \global\@namedef{MT_r_#1}{} }
+\MH_new_boolean:n {show_only_refs}
+\MH_new_boolean:n {show_manual_tags}
+\define@key{\MT_options_name:}{showmanualtags}[true]{
+ \@ifundefined{boolean_show_manual_tags_#1:}
+ { \MT_true_false_error:
+ \@nameuse{boolean_show_manual_tags_false:}
+ }
+ { \@nameuse{boolean_show_manual_tags_#1:} }
+}
+\newcommand*\MT_showonlyrefs_true:{
+ \MH_if_boolean:nF {show_only_refs}{
+ \MH_set_boolean_T:n {show_only_refs}
+ \MH_let:NwN \MT_incr_eqnum: \incr@eqnum
+ \MH_let:NwN \incr@eqnum \@empty
+ \MH_let:NwN \MT_array_parbox_restore: \@arrayparboxrestore
+ \@xp\def\@xp\@arrayparboxrestore\@xp{\@arrayparboxrestore
+ \MH_let:NwN \incr@eqnum \@empty
+ }
+ \MH_let:NwN \MT_prev_tagform:n \tagform@
+ \MH_let:NwN \MT_eqref:n \eqref
+ \MH_let:NwN \MT_refeq:n \refeq
+ \MH_let:NwN \MT_maketag:n \maketag@@@
+ \MH_let:NwN \maketag@@@ \MT_extended_maketag:n
+ \def\tagform@##1{\MT_extended_tagform:n {##1}}
+ \MH_let:NwN \eqref \MT_extended_eqref:n
+ \MH_let:NwN \refeq \MT_extended_refeq:n
+ }
+}
+\def\MT_showonlyrefs_false: {
+ \MH_if_boolean:nT {show_only_refs}{
+ \MH_set_boolean_F:n {show_only_refs}
+ \MH_let:NwN \tagform@ \MT_prev_tagform:n
+ \MH_let:NwN \eqref \MT_eqref:n
+ \MH_let:NwN \refeq \MT_refeq:n
+ \MH_let:NwN \maketag@@@ \MT_maketag:n
+ \MH_let:NwN \incr@eqnum \MT_incr_eqnum:
+ \MH_let:NwN \@arrayparboxrestore \MT_array_parbox_restore:
+ }
+}
+\define@key{\MT_options_name:}{showonlyrefs}[true]{
+ \@nameuse{MT_showonlyrefs_#1:}
+}
+\renewcommand\nonumber{
+ \if@eqnsw
+ \if_meaning:NN \incr@eqnum\@empty
+ \MH_if_boolean:nF {show_only_refs}
+ {\addtocounter{equation}\m@ne}
+ \fi:
+ \fi:
+ \MH_let:NwN \print@eqnum\@empty \MH_let:NwN \incr@eqnum\@empty
+ \global\@eqnswfalse
+}
+\MHInternalSyntaxOff
+\newcommand\noeqref[1]{\@bsphack
+ \@for\@tempa:=#1\do{%
+ \@safe@activestrue%
+ \edef\@tempa{\expandafter\@firstofone\@tempa}%
+ \@ifundefined{r@\@tempa}{%
+ \protect\G@refundefinedtrue%
+ \@latex@warning{Reference `\@tempa' on page \thepage \space
+ undefined (\string\noeqref)}%
+ }{}%
+ \if@filesw\protected@write\@auxout{}%
+ {\string\MT@newlabel{\@tempa}}\fi%
+ \@safe@activesfalse}
+ \@esphack}
+
+\providecommand\@safe@activestrue{}%
+\providecommand\@safe@activesfalse{}%
+
+\MHInternalSyntaxOn
+\providecommand*\xleftrightarrow[2][]{%
+ \ext@arrow 3095\MT_leftrightarrow_fill:{#1}{#2}}
+\def\MT_leftrightarrow_fill:{%
+ \arrowfill@\leftarrow\relbar\rightarrow}
+\providecommand*\xLeftarrow[2][]{%
+ \ext@arrow 0055{\Leftarrowfill@}{#1}{#2}}
+\providecommand*\xRightarrow[2][]{%
+ \ext@arrow 0055{\Rightarrowfill@}{#1}{#2}}
+\providecommand*\xLeftrightarrow[2][]{%
+ \ext@arrow 0055{\Leftrightarrowfill@}{#1}{#2}}
+\def\MT_rightharpoondown_fill:{%
+ \arrowfill@\relbar\relbar\rightharpoondown}
+\def\MT_rightharpoonup_fill:{%
+ \arrowfill@\relbar\relbar\rightharpoonup}
+\def\MT_leftharpoondown_fill:{%
+ \arrowfill@\leftharpoondown\relbar\relbar}
+\def\MT_leftharpoonup_fill:{%
+ \arrowfill@\leftharpoonup\relbar\relbar}
+\providecommand*\xrightharpoondown[2][]{%
+ \ext@arrow 0359\MT_rightharpoondown_fill:{#1}{#2}}
+\providecommand*\xrightharpoonup[2][]{%
+ \ext@arrow 0359\MT_rightharpoonup_fill:{#1}{#2}}
+\providecommand*\xleftharpoondown[2][]{%
+ \ext@arrow 3095\MT_leftharpoondown_fill:{#1}{#2}}
+\providecommand*\xleftharpoonup[2][]{%
+ \ext@arrow 3095\MT_leftharpoonup_fill:{#1}{#2}}
+\providecommand*\xleftrightharpoons[2][]{\mathrel{%
+ \raise.22ex\hbox{%
+ $\ext@arrow 3095\MT_leftharpoonup_fill:{\phantom{#1}}{#2}$}%
+ \setbox0=\hbox{%
+ $\ext@arrow 0359\MT_rightharpoondown_fill:{#1}{\phantom{#2}}$}%
+ \kern-\wd0 \lower.22ex\box0}}
+\providecommand*\xrightleftharpoons[2][]{\mathrel{%
+ \raise.22ex\hbox{%
+ $\ext@arrow 0359\MT_rightharpoonup_fill:{\phantom{#1}}{#2}$}%
+ \setbox0=\hbox{%
+ $\ext@arrow 3095\MT_leftharpoondown_fill:{#1}{\phantom{#2}}$}%
+ \kern-\wd0 \lower.22ex\box0}}
+\providecommand*\xhookleftarrow[2][]{%
+ \ext@arrow 3095\MT_hookleft_fill:{#1}{#2}}
+\def\MT_hookleft_fill:{%
+ \arrowfill@\leftarrow\relbar{\relbar\joinrel\rhook}}
+\providecommand*\xhookrightarrow[2][]{%
+ \ext@arrow 3095\MT_hookright_fill:{#1}{#2}}
+\def\MT_hookright_fill:{%
+ \arrowfill@{\lhook\joinrel\relbar}\relbar\rightarrow}
+\providecommand*\xmapsto[2][]{%
+ \ext@arrow 0395\MT_mapsto_fill:{#1}{#2}}
+\def\MT_mapsto_fill:{%
+ \arrowfill@{\mapstochar\relbar}\relbar\rightarrow}
+\providecommand*\underbracket{
+ \@ifnextchar[
+ {\MT_underbracket_I:w}
+ {\MT_underbracket_I:w[\l_MT_bracketheight_fdim]}}
+\def\MT_underbracket_I:w[#1]{
+ \@ifnextchar[
+ {\MT_underbracket_II:w[#1]}
+ {\MT_underbracket_II:w[#1][.7\fontdimen5\textfont2]}}
+\def\MT_underbracket_II:w[#1][#2]#3{%
+ \mathop{\vtop{\m@th\ialign{##
+ \crcr
+ $\hfil\displaystyle{#3}\hfil$%
+ \crcr
+ \noalign{\kern .2\fontdimen5\textfont2 \nointerlineskip}%
+ \upbracketfill {#1}{#2}%
+ \crcr}}}
+ \limits}
+\def\upbracketfill#1#2{%
+ \sbox\z@{$\braceld$}
+ \edef\l_MT_bracketheight_fdim{\the\ht\z@}%
+ \upbracketend{#1}{#2}
+ \leaders \vrule \@height \z@ \@depth #1 \hfill
+ \upbracketend{#1}{#2}%
+}
+\def\upbracketend#1#2{\vrule \@height #2 \@width #1\relax}
+\providecommand*\overbracket{
+ \@ifnextchar[
+ {\MT_overbracket_I:w}
+ {\MT_overbracket_I:w[\l_MT_bracketheight_fdim]}}
+\def\MT_overbracket_I:w[#1]{
+ \@ifnextchar[
+ {\MT_overbracket_II:w[#1]}
+ {\MT_overbracket_II:w[#1][.7\fontdimen5\textfont2]}}
+\def\MT_overbracket_II:w[#1][#2]#3{%
+ \mathop{\vbox{\m@th\ialign{##
+ \crcr
+ \downbracketfill{#1}{#2}%
+ \crcr
+ \noalign{\kern .2\fontdimen5\textfont2 \nointerlineskip}%
+ $\hfil\displaystyle{#3}\hfil$
+ \crcr}}}%
+ \limits}
+\def\downbracketfill#1#2{%
+ \sbox\z@{$\braceld$}\edef\l_MT_bracketheight_fdim{\the\ht\z@}
+ \downbracketend{#1}{#2}
+ \leaders \vrule \@height #1 \@depth \z@ \hfill
+ \downbracketend{#1}{#2}%
+}
+\def\downbracketend#1#2{\vrule \@width #1\@depth #2\relax}
+\MH_let:NwN \LaTeXunderbrace \underbrace
+\def\underbrace#1{\mathop{\vtop{\m@th\ialign{##\crcr
+ $\hfil\displaystyle{#1}\hfil$\crcr
+ \noalign{\kern.7\fontdimen5\textfont2\nointerlineskip}%
+ \upbracefill\crcr\noalign{\kern.5\fontdimen5\textfont2}}}}\limits}
+\MH_let:NwN \LaTeXoverbrace \overbrace
+\def\overbrace#1{\mathop{\vbox{\m@th\ialign{##\crcr
+ \noalign{\kern.5\fontdimen5\textfont2}%
+ \downbracefill\crcr
+ \noalign{\kern.7\fontdimen5\textfont2\nointerlineskip}%
+ $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits}
+\providecommand*\lparen{(}
+\providecommand*\rparen{)}
+
+\def\vcentcolon{\mathrel{\mathop\ordinarycolon}}
+\providecommand\ordinarycolon{:}
+\begingroup
+ \catcode`\:=\active
+ \lowercase{\endgroup
+\def\MT_activate_colon{%
+ \ifnum\mathcode`\:=32768\relax
+ \let\ordinarycolon= :%
+ \else
+ \mathchardef\ordinarycolon\mathcode`\: %
+ \fi
+ \let :\vcentcolon
+ }
+}
+\MH_new_boolean:n {center_colon}
+\define@key{\MT_options_name:}{centercolon}[true]{
+ \@ifundefined{MT_active_colon_#1:}
+ { \MT_true_false_error:n
+ \@nameuse{MT_active_colon_false:}
+ }
+ { \@nameuse{MT_active_colon_#1:} }
+}
+\def\MT_active_colon_true: {
+ \MT_activate_colon
+ \MH_if_boolean:nF {center_colon}{
+ \MH_set_boolean_T:n {center_colon}
+ \edef\MT_active_colon_false:
+ {\mathcode`\noexpand\:=\the\mathcode`\:\relax}
+ \mathcode`\:=32768
+ }
+}
+\AtBeginDocument{
+ \providecommand*\dblcolon{\mathrel{\vcentcolon\mkern-.9mu\vcentcolon}}
+ \providecommand*\coloneqq{\mathrel{\vcentcolon\mkern-1.2mu=}}
+ \providecommand*\Coloneqq{\mathrel{\dblcolon\mkern-1.2mu=}}
+ \providecommand*\coloneq{\mathrel{\vcentcolon\mkern-1.2mu\mathrel{-}}}
+ \providecommand*\Coloneq{\mathrel{\dblcolon\mkern-1.2mu\mathrel{-}}}
+ \providecommand*\eqqcolon{\mathrel{=\mkern-1.2mu\vcentcolon}}
+ \providecommand*\Eqqcolon{\mathrel{=\mkern-1.2mu\dblcolon}}
+ \providecommand*\eqcolon{\mathrel{\mathrel{-}\mkern-1.2mu\vcentcolon}}
+ \providecommand*\Eqcolon{\mathrel{\mathrel{-}\mkern-1.2mu\dblcolon}}
+ \providecommand*\colonapprox{\mathrel{\vcentcolon\mkern-1.2mu\approx}}
+ \providecommand*\Colonapprox{\mathrel{\dblcolon\mkern-1.2mu\approx}}
+ \providecommand*\colonsim{\mathrel{\vcentcolon\mkern-1.2mu\sim}}
+ \providecommand*\Colonsim{\mathrel{\dblcolon\mkern-1.2mu\sim}}
+}
+\let \AMS@math@cr@@ \math@cr@@
+\MH_new_boolean:n {mult_firstline}
+\MH_new_boolean:n {outer_mult}
+\newcount\g_MT_multlinerow_int
+\newdimen\l_MT_multwidth_dim
+\newcommand*\MT_test_for_tcb_other:nnnnn [1]{
+ \if:w t#1\relax
+ \expandafter\MH_use_choice_i:nnnn
+ \else:
+ \if:w c#1\relax
+ \expandafter\expandafter\expandafter\MH_use_choice_ii:nnnn
+ \else:
+ \if:w b#1\relax
+ \expandafter\expandafter\expandafter
+ \expandafter\expandafter\expandafter\expandafter
+ \MH_use_choice_iii:nnnn
+ \else:
+ \expandafter\expandafter\expandafter
+ \expandafter\expandafter\expandafter\expandafter
+ \MH_use_choice_iv:nnnn
+ \fi:
+ \fi:
+ \fi:
+}
+\def\MT_mult_invisible_line: {
+ \crcr
+ \global\MH_set_boolean_F:n {mult_firstline}
+ \hbox to \l_MT_multwidth_dim{}\crcr
+ \noalign{\vskip-\baselineskip \vskip-\jot \vskip-\normallineskip}
+}
+\def\MT_mult_mathcr_atat:w [#1]{%
+ \if_num:w 0=`{\fi: \iffalse}\fi:
+ \MH_if_boolean:nT {mult_firstline}{
+ \kern\l_MT_mult_left_fdim
+ \MT_mult_invisible_line:
+ }
+ \crcr
+ \noalign{\vskip#1\relax}
+ \global\advance\g_MT_multlinerow_int\@ne
+ \if_num:w \g_MT_multlinerow_int=\l_MT_multline_lastline_fint
+ \MH_let:NwN \math@cr@@\MT_mult_last_mathcr:w
+ \fi:
+}
+\def\MT_mult_firstandlast_mathcr:w [#1]{%
+ \if_num:w 0=`{\fi: \iffalse}\fi:
+ \kern\l_MT_mult_left_fdim
+ \MT_mult_invisible_line:
+ \noalign{\vskip#1\relax}
+ \kern\l_MT_mult_right_fdim
+}
+\def\MT_mult_last_mathcr:w [#1]{
+ \if_num:w 0=`{\fi: \iffalse}\fi:\math@cr@@@
+ \noalign{\vskip#1\relax}
+ \kern\l_MT_mult_right_fdim}
+\newcommand\MT_start_mult:N [1]{
+ \MT_test_for_tcb_other:nnnnn {#1}
+ { \MH_let:NwN \MT_next:\vtop }
+ { \MH_let:NwN \MT_next:\vcenter }
+ { \MH_let:NwN \MT_next:\vbox }
+ {
+ \PackageError{mathtools}
+ {Invalid~ position~ specifier.~ I'll~ try~ to~ recover~ with~
+ `c'}\@ehc
+ }
+ \collect@body\MT_mult_internal:n
+}
+\newcommand*\MT_shoveright:wn [2][0pt]{%
+ #2\hfilneg
+ \setlength\@tempdima{#1}
+ \kern\@tempdima
+}
+\newcommand*\MT_shoveleft:wn [2][0pt]{%
+ \hfilneg
+ \setlength\@tempdima{#1}
+ \kern\@tempdima
+ #2
+}
+\newcommand*\MT_mult_internal:n [1]{
+ \MH_if_boolean:nF {outer_mult}{\null\,}
+ \MT_next:
+ \bgroup
+ \Let@
+ \def\l_MT_multline_lastline_fint{0 }
+ \chardef\dspbrk@context\@ne \restore@math@cr
+ \MH_let:NwN \math@cr@@\MT_mult_mathcr_atat:w
+ \MH_let:NwN \shoveleft\MT_shoveleft:wn
+ \MH_let:NwN \shoveright\MT_shoveright:wn
+ \spread@equation
+ \MH_set_boolean_F:n {mult_firstline}
+ \MT_measure_mult:n {#1}
+ \if_dim:w \l_MT_multwidth_dim<\l_MT_multline_measure_fdim
+ \MH_setlength:dn \l_MT_multwidth_dim{\l_MT_multline_measure_fdim}
+ \fi
+ \MH_set_boolean_T:n {mult_firstline}
+ \if_num:w \l_MT_multline_lastline_fint=\@ne
+ \MH_let:NwN \math@cr@@ \MT_mult_firstandlast_mathcr:w
+ \fi:
+ \ialign\bgroup
+ \hfil\strut@$\m@th\displaystyle{}##$\hfil
+ \crcr
+ \hfilneg
+ #1
+}
+\newcommand\MT_measure_mult:n [1]{
+ \begingroup
+ \g_MT_multlinerow_int\@ne
+ \MH_let:NwN \label\MT_gobblelabel:w
+ \MH_let:NwN \tag\gobble@tag
+ \setbox\z@\vbox{
+ \ialign{\strut@$\m@th\displaystyle{}##$
+ \crcr
+ #1
+ \crcr
+ }
+ }
+ \xdef\l_MT_multline_measure_fdim{\the\wdz@}
+ \advance\g_MT_multlinerow_int\m@ne
+ \xdef\l_MT_multline_lastline_fint{\number\g_MT_multlinerow_int}
+ \endgroup
+ \g_MT_multlinerow_int\@ne
+}
+\MaybeMHPrecedingSpacesOff
+\newcommand*\MT_multlined_second_arg:w [1][\@empty]{
+ \MT_test_for_tcb_other:nnnnn {#1}
+ {\def\MT_mult_default_pos:{#1}}
+ {\def\MT_mult_default_pos:{#1}}
+ {\def\MT_mult_default_pos:{#1}}
+ {
+ \if_meaning:NN \@empty#1\@empty
+ \else:
+ \setlength \l_MT_multwidth_dim{#1}
+ \fi:
+ }
+ \MT_start_mult:N \MT_mult_default_pos:
+}
+\newenvironment{multlined}[1][]
+ {\MH_group_align_safe_begin:
+ \MT_test_for_tcb_other:nnnnn {#1}
+ {\def\MT_mult_default_pos:{#1}}
+ {\def\MT_mult_default_pos:{#1}}
+ {\def\MT_mult_default_pos:{#1}}
+ {
+ \if_meaning:NN \@empty#1\@empty
+ \else:
+ \setlength \l_MT_multwidth_dim{#1}
+ \fi:
+ }
+ \MT_multlined_second_arg:w
+ }
+ {
+ \hfilneg \endaligned \MH_group_align_safe_end:
+ }
+\MHPrecedingSpacesOn
+\define@key{\MT_options_name:}
+ {firstline-afterskip}{\def\l_MT_mult_left_fdim{#1}}
+\define@key{\MT_options_name:}
+ {lastline-preskip}{\def\l_MT_mult_right_fdim{#1}}
+\define@key{\MT_options_name:}
+ {multlined-width}{\setlength \l_MT_multwidth_dim{#1}}
+\define@key{\MT_options_name:}
+ {multlined-pos}{\def\MT_mult_default_pos:{#1}}
+\setkeys{\MT_options_name:}{
+ firstline-afterskip=\multlinegap,
+ lastline-preskip=\multlinegap,
+ multlined-width=0pt,
+ multlined-pos=c,
+}
+\def\MT_gobblelabel:w #1{}
+\newcommand\MT_delim_default_inner_wrappers:n [1]{
+ \@namedef{MT_delim_\MH_cs_to_str:N #1 _star_wrapper:nnn}##1##2##3{
+ \mathopen{}\mathclose\bgroup ##1 ##2 \aftergroup\egroup ##3
+ }
+ \@namedef{MT_delim_\MH_cs_to_str:N #1 _nostar_wrapper:nnn}##1##2##3{
+ \mathopen{##1}##2\mathclose{##3}
+ }
+ }
+
+\newcommand\reDeclarePairedDelimiterInnerWrapper[3]{
+ \@namedef{MT_delim_\MH_cs_to_str:N #1 _ #2 _wrapper:nnn}##1##2##3{
+ #3
+ }
+}
+
+\newcommand*\DeclarePairedDelimiter[3]{%
+ \@ifdefinable{#1}{
+ \MT_delim_default_inner_wrappers:n{#1}
+ \@namedef{MT_delim_\MH_cs_to_str:N #1 _star:}##1
+ %{\mathopen{}\mathclose\bgroup\left#2 ##1 \aftergroup\egroup\right #3}%
+ { \@nameuse{MT_delim_\MH_cs_to_str:N #1 _star_wrapper:nnn}%
+ {\left#2}{##1}{\right#3} }%
+ \@xp\@xp\@xp
+ \newcommand
+ \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar:\endcsname
+ [2][\\@gobble]
+ {
+ %\mathopen{\@nameuse {\MH_cs_to_str:N ##1 l} #2} ##2
+ %\mathclose{\@nameuse {\MH_cs_to_str:N ##1 r} #3}}
+ \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_wrapper:nnn}%
+ {\@nameuse {\MH_cs_to_str:N ##1 l} #2}
+ {##2}
+ {\@nameuse {\MH_cs_to_str:N ##1 r} #3}
+ }
+ \DeclareRobustCommand{#1}{
+ \@ifstar
+ {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _star:}}
+ {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar:}}
+ }
+ }
+}
+\def\MHempty{}
+\def\DeclarePairedDelimiterX#1[#2]#3#4#5{%
+ \@ifdefinable{#1}{
+ \MT_paired_delimx_arg_test:n{#2}
+ \MT_delim_default_inner_wrappers:n{#1}
+ \@xp\@xp\@xp
+ \newcommand
+ \@xp\csname MT_delim_\MH_cs_to_str:N #1 _star:\endcsname
+ [#2]
+ {
+ \begingroup
+ \def\delimsize{\middle}
+ %\mathopen{}\mathclose\bgroup\left#3 #5 \aftergroup\egroup\right#4
+ \@nameuse{MT_delim_\MH_cs_to_str:N #1 _star_wrapper:nnn}
+ {\left#3}{#5}{\right#4}
+ \endgroup
+ }
+ \@xp\@xp\@xp
+ \newcommand
+ \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar:\endcsname
+ [1][\MHempty]
+ {
+ \begingroup
+ \def\delimsize{##1}
+ \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_inner:}
+ }
+ \@xp\@xp\@xp
+ \newcommand
+ \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar_inner:\endcsname
+ [#2]
+ {
+ %\mathopen{%
+ % \let\MHempty\@gobble
+ % \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize l\endcsname #3}
+ %#5
+ %\mathclose{%
+ % \let\MHempty\@gobble
+ % \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize r\endcsname #4}
+ \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_wrapper:nnn}
+ {
+ \let\MHempty\@gobble
+ \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize l\endcsname #3
+ }
+ {#5}
+ {
+ \let\MHempty\@gobble
+ \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize r\endcsname #4
+ }
+ \endgroup
+ }
+ \DeclareRobustCommand{#1}{
+ \@ifstar
+ {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _star:}}
+ {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar:}}
+ }
+ }
+}
+\def\MT_paired_delimx_arg_test:n #1{
+ \ifnum#1>9\relax
+ \PackageError{mathtools}{No~ more~ than~ 9~ arguments}{}
+ \else
+ \ifnum#1<1\relax
+ \PackageError{mathtools}{Macro~ need~ 1~ or~ more~
+ arguments.\MessageBreak Please~ change~ [#1]~ to~ [1]~ ... [9]}{}
+ \fi
+ \fi
+ }
+
+\def\DeclarePairedDelimiterXPP#1[#2]#3#4#5#6#7{%
+ \@ifdefinable{#1}{
+ \MT_paired_delimx_arg_test:n{#2}
+ \MT_delim_default_inner_wrappers:n{#1}
+ \@xp\@xp\@xp
+ \newcommand
+ \@xp\csname MT_delim_\MH_cs_to_str:N #1 _star:\endcsname
+ [#2]
+ {
+ \begingroup
+ \def\delimsize{\middle}
+ #3
+ \@nameuse{MT_delim_\MH_cs_to_str:N #1 _star_wrapper:nnn}
+ {\left#4}{#7}{\right#5}
+ #6
+ \endgroup
+ }
+ \@xp\@xp\@xp
+ \newcommand
+ \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar:\endcsname
+ [1][\MHempty]
+ {
+ \begingroup
+ \def\delimsize{##1}
+ \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_inner:}
+ }
+ \@xp\@xp\@xp
+ \newcommand
+ \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar_inner:\endcsname
+ [#2]
+ {
+ #3
+ \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_wrapper:nnn}
+ {
+ \let\MHempty\@gobble
+ \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize l\endcsname #4
+ }
+ {#7}
+ {
+ \let\MHempty\@gobble
+ \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize r\endcsname #5
+ }
+ #6
+ \endgroup
+ }
+ \DeclareRobustCommand{#1}{
+ \@ifstar
+ {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _star:}}
+ {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar:}}
+ }
+ }
+}
+
+
+\def\MT_start_cases:nnnn #1#2#3#4{ % #1=sep,#2=lpreamble,#3=rpreamble,#4=delim
+ \RIfM@\else
+ \nonmatherr@{\begin{\@currenvir}}
+ \fi
+ \MH_group_align_safe_begin:
+ \left#4
+ \vcenter \bgroup
+ \Let@ \chardef\dspbrk@context\@ne \restore@math@cr
+ \let \math@cr@@\AMS@math@cr@@
+ \spread@equation
+ \ialign\bgroup
+ \strut@#2 &#1\strut@
+ #3
+ \crcr
+}
+\def\MH_end_cases:{\crcr\egroup
+ \restorecolumn@
+ \egroup
+ \MH_group_align_safe_end:
+}
+\newcommand*\newcases[6]{% #1=name, #2=sep, #3=preamble, #4=left, #5=right
+ \newenvironment{#1}
+ {\MT_start_cases:nnnn {#2}{#3}{#4}{#5}}
+ {\MH_end_cases:\right#6}
+}
+\newcommand*\renewcases[6]{
+ \renewenvironment{#1}
+ {\MT_start_cases:nnnn {#2}{#3}{#4}{#5}}
+ {\MH_end_cases:\right#6}
+}
+\newcases{dcases}{\quad}{%
+ $\m@th\displaystyle{##}$\hfil}{$\m@th\displaystyle{##}$\hfil}{\lbrace}{.}
+\newcases{dcases*}{\quad}{%
+ $\m@th\displaystyle{##}$\hfil}{{##}\hfil}{\lbrace}{.}
+\newcases{rcases}{\quad}{%
+ $\m@th{##}$\hfil}{$\m@th{##}$\hfil}{.}{\rbrace}
+\newcases{rcases*}{\quad}{%
+ $\m@th{##}$\hfil}{{##}\hfil}{.}{\rbrace}
+\newcases{drcases}{\quad}{%
+ $\m@th\displaystyle{##}$\hfil}{$\m@th\displaystyle{##}$\hfil}{.}{\rbrace}
+\newcases{drcases*}{\quad}{%
+ $\m@th\displaystyle{##}$\hfil}{{##}\hfil}{.}{\rbrace}
+\newcases{cases*}{\quad}{%
+ $\m@th{##}$\hfil}{{##}\hfil}{\lbrace}{.}
+\def\MT_matrix_begin:N #1{%
+ \hskip -\arraycolsep
+ \MH_let:NwN \@ifnextchar \MH_nospace_ifnextchar:Nnn
+ \array{*\c@MaxMatrixCols #1}}
+\def\MT_matrix_end:{\endarray \hskip -\arraycolsep}
+\MaybeMHPrecedingSpacesOff
+\newenvironment{matrix*}[1][c]
+ {\MT_matrix_begin:N #1}
+ {\MT_matrix_end:}
+\newenvironment{pmatrix*}[1][c]
+ {\left(\MT_matrix_begin:N #1}
+ {\MT_matrix_end:\right)}
+\newenvironment{bmatrix*}[1][c]
+ {\left[\MT_matrix_begin:N #1}
+ {\MT_matrix_end:\right]}
+\newenvironment{Bmatrix*}[1][c]
+ {\left\lbrace\MT_matrix_begin:N #1}
+ {\MT_matrix_end:\right\rbrace}
+\newenvironment{vmatrix*}[1][c]
+ {\left\lvert\MT_matrix_begin:N #1}
+ {\MT_matrix_end:\right\rvert}
+\newenvironment{Vmatrix*}[1][c]
+ {\left\lVert\MT_matrix_begin:N #1}
+ {\MT_matrix_end:\right\lVert}
+\def\MT_smallmatrix_begin:N #1{%
+ \Let@\restore@math@cr\default@tag
+ \baselineskip6\ex@ \lineskip1.5\ex@ \lineskiplimit\lineskip
+ \csname MT_smallmatrix_#1_begin:\endcsname
+}
+\def\MT_smallmatrix_end:{\crcr\egroup\egroup\MT_smallmatrix_inner_space:}
+\def\MT_smallmatrix_l_begin:{\null\MT_smallmatrix_inner_space:\vcenter\bgroup
+ \ialign\bgroup$\m@th\scriptstyle##$\hfil&&\thickspace
+ $\m@th\scriptstyle##$\hfil\crcr
+}
+\def\MT_smallmatrix_c_begin:{\null\MT_smallmatrix_inner_space:\vcenter\bgroup
+ \ialign\bgroup\hfil$\m@th\scriptstyle##$\hfil&&\thickspace\hfil
+ $\m@th\scriptstyle##$\hfil\crcr
+}
+\def\MT_smallmatrix_r_begin:{\null\MT_smallmatrix_inner_space:\vcenter\bgroup
+ \ialign\bgroup\hfil$\m@th\scriptstyle##$&&\thickspace\hfil
+ $\m@th\scriptstyle##$\crcr
+}
+\newenvironment{smallmatrix*}[1][\MT_smallmatrix_default_align:]
+ {\MT_smallmatrix_begin:N #1}
+ {\MT_smallmatrix_end:}
+\def\MT_fenced_sm_generator:nnn #1#2#3{%
+ \@ifundefined{#1}{%
+ \newenvironment{#1}
+ {\@nameuse{#1hook}\mathopen{}\mathclose\bgroup\left#2\MT_smallmatrix_begin:N c}%
+ {\MT_smallmatrix_end:\aftergroup\egroup\right#3}%
+ }{}%
+ \@ifundefined{#1*}{%
+ \newenvironment{#1*}[1][\MT_smallmatrix_default_align:]%
+ {\@nameuse{#1hook}\mathopen{}\mathclose\bgroup\left#2\MT_smallmatrix_begin:N ##1}%
+ {\MT_smallmatrix_end:\aftergroup\egroup\right#3}%
+ }{}%
+}
+\MT_fenced_sm_generator:nnn{psmallmatrix}()
+\MT_fenced_sm_generator:nnn{bsmallmatrix}[]
+\MT_fenced_sm_generator:nnn{Bsmallmatrix}\lbrace\rbrace
+\MT_fenced_sm_generator:nnn{vsmallmatrix}\lvert\rvert
+\MT_fenced_sm_generator:nnn{Vsmallmatrix}\lVert\rVert
+\define@key{\MT_options_name:}
+ {smallmatrix-align}{\def\MT_smallmatrix_default_align:{#1}}
+\define@key{\MT_options_name:}
+ {smallmatrix-inner-space}{\def\MT_smallmatrix_inner_space:{#1}}
+\setkeys{\MT_options_name:}{
+ smallmatrix-align=c,
+ smallmatrix-inner-space=\,
+}
+
+\MHPrecedingSpacesOn
+\newcommand*\smashoperator[2][lr]{
+ \def\MT_smop_use:NNNNN {\@nameuse{MT_smop_smash_#1:NNNNN}}
+ \toks@{#2}
+ \expandafter\MT_smop_get_args:wwwNnNn
+ \the\toks@\@nil\@nil\@nil\@nil\@nil\@nil\@@nil
+}
+\def\MT_smop_remove_nil_vi:N #1\@nil\@nil\@nil\@nil\@nil\@nil{#1}
+\def\MT_smop_mathop:n {\mathop}
+\def\MT_smop_limits: {\limits}
+\MH_new_boolean:n {smop_one}
+\MH_new_boolean:n {smop_two}
+\def\MT_smop_get_args:wwwNnNn #1#2#3#4#5#6#7\@@nil{%
+ \begingroup
+ \def\MT_smop_arg_A: {#1} \def\MT_smop_arg_B: {#2}
+ \def\MT_smop_arg_C: {#3} \def\MT_smop_arg_D: {#4}
+ \def\MT_smop_arg_E: {#5} \def\MT_smop_arg_F: {#6}
+ \def\MT_smop_arg_G: {#7}
+ \if_meaning:NN \MT_smop_arg_A: \MT_smop_mathop:n
+ \if_meaning:NN \MT_smop_arg_C:\MT_smop_limits:
+ \def\MT_smop_final_arg_A:{#1{#2}}%
+ \if_meaning:NN \MT_smop_arg_D: \@nnil
+ \else:
+ \MH_set_boolean_T:n {smop_one}
+ \MH_let:NwN \MT_smop_final_arg_B: \MT_smop_arg_D:
+ \MH_let:NwN \MT_smop_final_arg_C: \MT_smop_arg_E:
+ \if_meaning:NN \MT_smop_arg_F: \@nnil
+ \else:
+ \MH_set_boolean_T:n {smop_two}
+ \MH_let:NwN \MT_smop_final_arg_D: \MT_smop_arg_F:
+ \edef\MT_smop_final_arg_E:
+ {\expandafter\MT_smop_remove_nil_vi:N \MT_smop_arg_G: }
+ \fi:
+ \fi:
+ \else:
+ \def\MT_smop_final_arg_A:{#1{#2}}%
+ \if_meaning:NN \MT_smop_arg_D: \@nnil
+ \else:
+ \MH_set_boolean_T:n {smop_one}
+ \MH_let:NwN \MT_smop_final_arg_B: \MT_smop_arg_C:
+ \MH_let:NwN \MT_smop_final_arg_C: \MT_smop_arg_D:
+ \if_meaning:NN \MT_smop_arg_F: \@nnil
+ \else:
+ \MH_set_boolean_T:n {smop_two}
+ \MH_let:NwN \MT_smop_final_arg_D: \MT_smop_arg_E:
+ \MH_let:NwN \MT_smop_final_arg_E: \MT_smop_arg_F:
+ \fi:
+ \fi:
+ \fi:
+ \else:
+ \if_meaning:NN \MT_smop_arg_B:\MT_smop_limits:
+ \def\MT_smop_final_arg_A:{#1}%
+ \if_meaning:NN \MT_smop_arg_D: \@nnil
+ \else:
+ \MH_set_boolean_T:n {smop_one}
+ \MH_let:NwN \MT_smop_final_arg_B: \MT_smop_arg_C:
+ \MH_let:NwN \MT_smop_final_arg_C: \MT_smop_arg_D:
+ \if_meaning:NN \MT_smop_arg_F: \@nnil
+ \else:
+ \MH_set_boolean_T:n {smop_two}
+ \MH_let:NwN \MT_smop_final_arg_D: \MT_smop_arg_E:
+ \MH_let:NwN \MT_smop_final_arg_E: \MT_smop_arg_F:
+ \fi:
+ \fi:
+ \else:
+ \def\MT_smop_final_arg_A:{#1}%
+ \if_meaning:NN \MT_smop_arg_C: \@nnil
+ \else:
+ \MH_set_boolean_T:n {smop_one}
+ \MH_let:NwN \MT_smop_final_arg_B: \MT_smop_arg_B:
+ \MH_let:NwN \MT_smop_final_arg_C: \MT_smop_arg_C:
+ \if_meaning:NN \MT_smop_arg_D: \@nnil
+ \else:
+ \MH_set_boolean_T:n {smop_two}
+ \MH_let:NwN \MT_smop_final_arg_D: \MT_smop_arg_D:
+ \MH_let:NwN \MT_smop_final_arg_E: \MT_smop_arg_E:
+ \fi:
+ \fi:
+ \fi:
+ \fi:
+ \MH_if_boolean:nT {smop_one}{
+ \MT_smop_measure:NNNNN
+ \MT_smop_final_arg_A: \MT_smop_final_arg_B: \MT_smop_final_arg_C:
+ \MT_smop_final_arg_D: \MT_smop_final_arg_E:
+ }
+ \MT_smop_use:NNNNN
+ \MT_smop_final_arg_A: \MT_smop_final_arg_B: \MT_smop_final_arg_C:
+ \MT_smop_final_arg_D: \MT_smop_final_arg_E:
+ \endgroup
+}
+\def\MT_smop_needed_args:NNNNN #1#2#3#4#5{%
+ \displaystyle #1
+ \MH_if_boolean:nT {smop_one}{
+ \limits#2{\MT_cramped_clap_internal:Nn \scriptstyle{#3}}
+ \MH_if_boolean:nT {smop_two}{
+ #4{\MT_cramped_clap_internal:Nn \scriptstyle{#5}}
+ }
+ }
+}
+\def\MT_smop_measure:NNNNN #1#2#3#4#5{%
+ \MH_let:NwN \MT_saved_mathclap:Nn \MT_cramped_clap_internal:Nn
+ \MH_let:NwN \MT_cramped_clap_internal:Nn \@secondoftwo
+ \sbox\z@{$\m@th\MT_smop_needed_args:NNNNN #1#2#3#4#5$}
+ \MH_let:NwN \MT_cramped_clap_internal:Nn \MT_saved_mathclap:Nn
+ \sbox\tw@{$\m@th\displaystyle#1$}
+ \@tempdima=.5\wd0
+ \advance\@tempdima-.5\wd2
+}
+\def\MT_smop_smash_l:NNNNN #1#2#3#4#5{
+ \MT_smop_needed_args:NNNNN #1#2#3#4#5\kern\@tempdima
+}
+\def\MT_smop_smash_r:NNNNN #1#2#3#4#5{
+ \kern\@tempdima\MT_smop_needed_args:NNNNN #1#2#3#4#5
+}
+\def\MT_smop_smash_lr:NNNNN #1#2#3#4#5{
+ \MT_smop_needed_args:NNNNN #1#2#3#4#5
+}
+\def\MT_vphantom:Nn {\v@true\h@false\MT_internal_phantom:N}
+\def\MT_hphantom:Nn {\v@false\h@true\MT_internal_phantom:N}
+\def\MT_phantom:Nn {\v@true\h@true\MT_internal_phantom:N}
+\def\MT_internal_phantom:N #1{
+ \ifmmode
+ \expandafter\mathph@nt\expandafter#1
+ \else
+ \expandafter\makeph@nt
+ \fi
+}
+\newcommand*\adjustlimits[6]{
+ \sbox\z@{$\m@th \displaystyle #1$}
+ \sbox\tw@{$\m@th \displaystyle #4$}
+ \@tempdima=\dp\z@ \advance\@tempdima-\dp\tw@
+ \if_dim:w \@tempdima>\z@
+ \mathop{#1}\limits#2{#3}
+ \else:
+ \mathop{#1\MT_vphantom:Nn \displaystyle{#4}}\limits
+ #2{
+ \def\finsm@sh{\ht\z@\z@ \box\z@}
+ \mathsm@sh\scriptstyle{\MT_cramped_internal:Nn \scriptstyle{#3}}
+ \MT_vphantom:Nn \scriptstyle
+ {\MT_cramped_internal:Nn \scriptstyle{#6}}
+ }
+ \fi:
+ \if_dim:w \@tempdima>\z@
+ \mathop{#4\MT_vphantom:Nn \displaystyle{#1}}\limits
+ #5
+ {
+ \MT_vphantom:Nn \scriptstyle
+ {\MT_cramped_internal:Nn \scriptstyle{#3}}
+ \def\finsm@sh{\ht\z@\z@ \box\z@}
+ \mathsm@sh\scriptstyle{\MT_cramped_internal:Nn \scriptstyle{#6}}
+ }
+ \else:
+ \mathop{#4}\limits#5{#6}
+ \fi:
+}
+\newcommand\SwapAboveDisplaySkip{%
+ \noalign{\vskip-\abovedisplayskip\vskip\abovedisplayshortskip}
+}
+
+\newcommand\MoveEqLeft[1][2]{\kern #1em & \kern -#1em}
+\newcommand\Aboxed[1]{\let\bgroup{\romannumeral-`}\@Aboxed#1&&\ENDDNE}
+\def\@Aboxed#1&#2&#3\ENDDNE{%
+ \ifnum0=`{}\fi \setbox \z@
+ \hbox{$\displaystyle#1{}\m@th$\kern\fboxsep \kern\fboxrule }%
+ \edef\@tempa {\kern \wd\z@ &\kern -\the\wd\z@ \fboxsep
+ \the\fboxsep \fboxrule \the\fboxrule }\@tempa \boxed {#1#2}%
+}
+\MHInternalSyntaxOff
+\def\ArrowBetweenLines{\relax
+ \iffalse{\fi\ifnum0=`}\fi
+ \@ifstar{\ArrowBetweenLines@auxI{00}}{\ArrowBetweenLines@auxI{01}}}
+\def\ArrowBetweenLines@auxI#1{%
+ \@ifnextchar[%
+ {\ArrowBetweenLines@auxII{#1}}%
+ {\ArrowBetweenLines@auxII{#1}[\Updownarrow]}}
+\def\ArrowBetweenLines@auxII#1[#2]{%
+ \ifnum0=`{\fi \iffalse}\fi
+ \expandafter\in@\expandafter{\@currenvir}%
+ {alignedat,aligned,gathered}%
+ \ifin@ \else
+ \notag
+ \fi%
+ \\
+ \noalign{\nobreak\vskip-\baselineskip\vskip-\lineskip}%
+ \noalign{\expandafter\in@\expandafter{\@currenvir}%
+ {alignedat,aligned,gathered}%
+ \ifin@ \else\notag\fi%
+ }%
+ \if#1 &&\quad #2\else #2\quad\fi
+ \\\noalign{\nobreak\vskip-\lineskip}}
+
+\MHInternalSyntaxOn
+\newcommand\vdotswithin[1]{%
+ {\mathmakebox[\widthof{\ensuremath{{}#1{}}}][c]{{\vdots}}}}
+\newlength\origjot
+\setlength\origjot{\jot}
+\newdimen\l_MT_shortvdotswithinadjustabove_dim
+\newdimen\l_MT_shortvdotswithinadjustbelow_dim
+\define@key{\MT_options_name:}
+ {shortvdotsadjustabove}{\setlength\l_MT_shortvdotswithinadjustabove_dim{#1}}
+\define@key{\MT_options_name:}
+ {shortvdotsadjustbelow}{\setlength\l_MT_shortvdotswithinadjustbelow_dim{#1}}
+\setkeys{\MT_options_name:}{
+ shortvdotsadjustabove=2.15\origjot,
+ shortvdotsadjustbelow=\origjot
+}
+\def\shortvdotswithin{\relax
+ \@ifstar{\MT_svwi_aux:nn{00}}{\MT_svwi_aux:nn{01}}}
+\def\MT_svwi_aux:nn #1#2{
+ \MTFlushSpaceAbove
+ \if#1 \vdotswithin{#2}& \else &\vdotswithin{#2} \fi
+ \MTFlushSpaceBelow
+}
+\def\MT_remove_tag_unless_inner:n #1{%
+ \begingroup
+ \def\etb@tempa##1|#1|##2\MT@END{\endgroup
+ \ifx\@empty##2\@empty\notag\fi}%
+ \expandafter\etb@tempa\expandafter|alignedat|aligned|split|#1|\MT@END}
+ %| emacs
+\newcommand\MTFlushSpaceAbove{
+ \expandafter\MT_remove_tag_unless_inner:n\expandafter{\@currenvir}
+ \\
+ \noalign{%
+ \nobreak\vskip-\baselineskip\vskip-\lineskip%
+ \vskip-\l_MT_shortvdotswithinadjustabove_dim
+ \vskip-\origjot
+ \vskip\jot
+ }%
+ \noalign{
+ \expandafter\MT_remove_tag_unless_inner:n\expandafter{\@currenvir}
+ }
+}
+\newcommand\MTFlushSpaceBelow{
+ \\\noalign{%
+ \nobreak\vskip-\lineskip
+ \vskip-\l_MT_shortvdotswithinadjustbelow_dim
+ \vskip-\origjot
+ \vskip\jot
+ }
+}
+
+\def\MH_nrotarrow:NN #1#2{%
+ \setbox0=\hbox{$\m@th#1\uparrow$}\dimen0=\dp0
+ \setbox0=\hbox{%
+ \reflectbox{\rotatebox[origin=c]{90}{$\m@th#1\mkern2.22mu #2$}}}%
+ \dp0=\dimen0 \box0 \mkern2.3965mu
+}
+\def\MH_nuparrow: {%
+ \mathrel{\mathpalette\MH_nrotarrow:NN\nrightarrow} }
+\def\MH_ndownarrow: {%
+ \mathrel{\mathpalette\MH_nrotarrow:NN\nleftarrow} }
+\AtBeginDocument{%
+ \RequirePackage{graphicx}%
+ \@ifundefined{nrightarrow}{%
+ \providecommand\nuparrow{%
+ \PackageError{mathtools}{\string\nuparrow\space~ is~
+ constructed~ from~ \string\nrightarrow,~ which~ is~ not~
+ provided.~ Please~ load~ the~ amssymb~ package~ or~ similar}{}
+ }}{ \providecommand\nuparrow{\MH_nuparrow:}}
+ \@ifundefined{nleftarrow}{%
+ \providecommand\ndownarrow{%
+ \PackageError{mathtools}{\string\ndownarrow\space~ is~
+ constructed~ from~ \string\nleftarrow,~ which~ is~ not~
+ provided.~ Please~ load~ the~ amssymb~ package~ or~ similar}{}
+ }}{ \providecommand\ndownarrow{\MH_ndownarrow:}} }
+\def\MH_bigtimes_scaler:N #1{%
+ \vcenter{\hbox{#1$\m@th\mkern-2mu\times\mkern-2mu$}}}
+\def\MH_bigtimes_inner: {
+ \mathchoice{\MH_bigtimes_scaler:N \huge} % display style
+ {\MH_bigtimes_scaler:N \LARGE} % text style
+ {\MH_bigtimes_scaler:N {}} % script style
+ {\MH_bigtimes_scaler:N \footnotesize} % script script style
+}
+\def\MH_csym_bigtimes: {\mathop{\MH_bigtimes_inner:}\displaylimits}
+\AtBeginDocument{
+ \providecommand\bigtimes{\MH_csym_bigtimes:}
+}
+\MH_let:NwN \MT_orig_intertext: \intertext@
+\newdimen\l_MT_above_intertext_sep
+\newdimen\l_MT_below_intertext_sep
+\define@key{\MT_options_name:}
+ {aboveintertextdim}{\setlength\l_MT_above_intertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {belowintertextdim}{\setlength\l_MT_below_intertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {above-intertext-dim}{\setlength\l_MT_above_intertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {below-intertext-dim}{\setlength\l_MT_below_intertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {above-intertext-sep}{\setlength\l_MT_above_intertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {below-intertext-sep}{\setlength\l_MT_below_intertext_sep{#1}}
+\def\MT_intertext: {%
+ \def\intertext##1{%
+ \ifvmode\else\\\@empty\fi
+ \noalign{%
+ \penalty\postdisplaypenalty\vskip\belowdisplayskip
+ \vskip-\lineskiplimit % CCS
+ \vskip\normallineskiplimit % CCS
+ \vskip\l_MT_above_intertext_sep
+ \vbox{\normalbaselines
+ \ifdim\linewidth=\columnwidth
+ \else \parshape\@ne \@totalleftmargin \linewidth
+ \fi
+ \noindent##1\par}%
+ \penalty\predisplaypenalty\vskip\abovedisplayskip%
+ \vskip-\lineskiplimit % CCS
+ \vskip\normallineskiplimit % CCS
+ \vskip\l_MT_above_intertext_sep
+ }%
+}}
+\def\MT_orig_intertext_true: { \MH_let:NwN \intertext@ \MT_orig_intertext: }
+\def\MT_orig_intertext_false: { \MH_let:NwN \intertext@ \MT_intertext: }
+\define@key{\MT_options_name:}{original-intertext}[true]{
+ \@nameuse{MT_orig_intertext_#1:}
+}
+\setkeys{\MT_options_name:}{
+ original-intertext=false
+}
+\def\MT_orig_shortintertext:n #1{%
+ \ifvmode\else\\\@empty\fi
+ \noalign{%
+ \penalty\postdisplaypenalty\vskip\abovedisplayshortskip
+ \vbox{\normalbaselines
+ \if_dim:w \linewidth=\columnwidth
+ \else:
+ \parshape\@ne \@totalleftmargin \linewidth
+ \fi:
+ \noindent#1\par}%
+ \penalty\predisplaypenalty\vskip\abovedisplayshortskip%
+ }%
+}
+\newdimen\l_MT_above_shortintertext_sep
+\newdimen\l_MT_below_shortintertext_sep
+\define@key{\MT_options_name:}
+ {aboveshortintertextdim}{\setlength \l_MT_above_shortintertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {belowshortintertextdim}{\setlength \l_MT_below_shortintertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {above-short-intertext-dim}{\setlength \l_MT_above_shortintertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {below-short-intertext-dim}{\setlength \l_MT_below_shortintertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {above-short-intertext-sep}{\setlength \l_MT_above_shortintertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {below-short-intertext-sep}{\setlength \l_MT_below_shortintertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {above-shortintertext-sep}{\setlength \l_MT_above_shortintertext_sep{#1}}
+\define@key{\MT_options_name:}
+ {below-shortintertext-sep}{\setlength \l_MT_below_shortintertext_sep{#1}}
+\setkeys{\MT_options_name:}{
+ aboveshortintertextdim=3pt,
+ belowshortintertextdim=3pt
+}
+\def\MT_shortintertext:n #1{%
+ \ifvmode\else\\\@empty\fi
+ \noalign{%
+ \penalty\postdisplaypenalty\vskip\abovedisplayshortskip
+ \vskip-\lineskiplimit
+ \vskip\normallineskiplimit
+ \vskip\l_MT_above_shortintertext_sep
+ \vbox{\normalbaselines
+ \if_dim:w \linewidth=\columnwidth
+ \else:
+ \parshape\@ne \@totalleftmargin \linewidth
+ \fi:
+ \noindent#1\par}%
+ \penalty\predisplaypenalty\vskip\abovedisplayshortskip%
+ \vskip-\lineskiplimit
+ \vskip\normallineskiplimit
+ \vskip\l_MT_below_shortintertext_sep
+ }%
+}
+\def\MT_orig_shortintertext_true: { \MH_let:NwN \shortintertext \MT_orig_shortintertext:n }
+\def\MT_orig_shortintertext_false: { \MH_let:NwN \shortintertext \MT_shortintertext:n }
+\define@key{\MT_options_name:}{original-shortintertext}[true]{
+ \@nameuse{MT_orig_shortintertext_#1:}
+}
+\setkeys{\MT_options_name:}{
+ original-shortintertext=false
+}
+\providecommand*\clap[1]{\hb@xt@\z@{\hss#1\hss}}
+\providecommand*\mathllap[1][\@empty]{
+ \ifx\@empty#1\@empty
+ \expandafter \mathpalette \expandafter \MT_mathllap:Nn
+ \else
+ \expandafter \MT_mathllap:Nn \expandafter #1
+ \fi
+}
+\providecommand*\mathrlap[1][\@empty]{
+ \ifx\@empty#1\@empty
+ \expandafter \mathpalette \expandafter \MT_mathrlap:Nn
+ \else
+ \expandafter \MT_mathrlap:Nn \expandafter #1
+ \fi
+}
+\providecommand*\mathclap[1][\@empty]{
+ \ifx\@empty#1\@empty
+ \expandafter \mathpalette \expandafter \MT_mathclap:Nn
+ \else
+ \expandafter \MT_mathclap:Nn \expandafter #1
+ \fi
+}
+\def\MT_mathllap:Nn #1#2{{}\llap{$\m@th#1{#2}$}}
+\def\MT_mathrlap:Nn #1#2{{}\rlap{$\m@th#1{#2}$}}
+\def\MT_mathclap:Nn #1#2{{}\clap{$\m@th#1{#2}$}}
+\providecommand*\mathmbox{\mathpalette\MT_mathmbox:nn}
+\def\MT_mathmbox:nn #1#2{\mbox{$\m@th#1#2$}}
+\providecommand*\mathmakebox{
+ \@ifnextchar[ \MT_mathmakebox_I:w
+ \mathmbox}
+\def\MT_mathmakebox_I:w[#1]{%
+ \@ifnextchar[ {\MT_mathmakebox_II:w[#1]}
+ {\MT_mathmakebox_II:w[#1][c]}}
+\def\MT_mathmakebox_II:w[#1][#2]{
+ \mathpalette{\MT_mathmakebox_III:w[#1][#2]}}
+\def\MT_mathmakebox_III:w[#1][#2]#3#4{%
+ \@begin@tempboxa\hbox{$\m@th#3#4$}%
+ \setlength\@tempdima{#1}%
+ \hbox{\hb@xt@\@tempdima{\csname bm@#2\endcsname}}%
+ \@end@tempboxa}
+\def\mathsm@sh#1#2{%
+ \setbox\z@\hbox{$\m@th#1{#2}$}{}\finsm@sh}
+\providecommand*\cramped[1][\@empty]{
+ \ifx\@empty#1\@empty
+ \expandafter \mathpalette \expandafter \MT_cramped_internal:Nn
+ \else
+ \expandafter \MT_cramped_internal:Nn \expandafter #1
+ \fi
+}
+\def\MT_cramped_internal:Nn #1#2{
+ \sbox\z@{$\m@th#1\nulldelimiterspace=\z@\radical\z@{#2}$}
+ \ifx#1\displaystyle
+ \dimen@=\fontdimen8\textfont3
+ \advance\dimen@ .25\fontdimen5\textfont2
+ \else
+ \dimen@=1.25\fontdimen8
+ \ifx#1\textstyle\textfont
+ \else
+ \ifx#1\scriptstyle
+ \scriptfont
+ \else
+ \scriptscriptfont
+ \fi
+ \fi
+ 3
+ \fi
+ \advance\dimen@-\ht\z@ \ht\z@=-\dimen@
+ \box\z@
+}
+\providecommand*\crampedllap[1][\@empty]{
+ \ifx\@empty#1\@empty
+ \expandafter \mathpalette \expandafter \MT_cramped_llap_internal:Nn
+ \else
+ \expandafter \MT_cramped_llap_internal:Nn \expandafter #1
+ \fi
+}
+\def\MT_cramped_llap_internal:Nn #1#2{
+ {}\llap{\MT_cramped_internal:Nn #1{#2}}
+}
+\providecommand*\crampedclap[1][\@empty]{
+ \ifx\@empty#1\@empty
+ \expandafter \mathpalette \expandafter \MT_cramped_clap_internal:Nn
+ \else
+ \expandafter \MT_cramped_clap_internal:Nn \expandafter #1
+ \fi
+}
+\def\MT_cramped_clap_internal:Nn #1#2{
+ {}\clap{\MT_cramped_internal:Nn #1{#2}}
+}
+\providecommand*\crampedrlap[1][\@empty]{
+ \ifx\@empty#1\@empty
+ \expandafter \mathpalette \expandafter \MT_cramped_rlap_internal:Nn
+ \else
+ \expandafter \MT_cramped_rlap_internal:Nn \expandafter #1
+ \fi
+}
+\def\MT_cramped_rlap_internal:Nn #1#2{
+ {}\rlap{\MT_cramped_internal:Nn #1{#2}}
+}
+\newcommand{\MT_prescript_inner:}[4]{
+ \@mathmeasure\z@#4{\MT_prescript_sup:{#1}}
+ \@mathmeasure\tw@#4{\MT_prescript_sub:{#2}}
+ \if_dim:w \wd\tw@>\wd\z@
+ \setbox\z@\hbox to\wd\tw@{\hfil\unhbox\z@}
+ \else:
+ \setbox\tw@\hbox to\wd\z@{\hfil\unhbox\tw@}
+ \fi:
+ \mathop{}
+ \mathopen{\vphantom{\MT_prescript_arg:{#3}}}^{\box\z@}\sb{\box\tw@}
+ \MT_prescript_arg:{#3}
+}
+\DeclareRobustCommand{\prescript}[3]{
+ \mathchoice
+ {\MT_prescript_inner:{#1}{#2}{#3}{\scriptstyle}}
+ {\MT_prescript_inner:{#1}{#2}{#3}{\scriptstyle}}
+ {\MT_prescript_inner:{#1}{#2}{#3}{\scriptscriptstyle}}
+ {\MT_prescript_inner:{#1}{#2}{#3}{\scriptscriptstyle}}
+}
+\define@key{\MT_options_name:}
+ {prescript-sup-format}{\def\MT_prescript_sup:{#1}}
+\define@key{\MT_options_name:}
+ {prescript-sub-format}{\def\MT_prescript_sub:{#1}}
+\define@key{\MT_options_name:}
+ {prescript-arg-format}{\def\MT_prescript_arg:{#1}}
+\setkeys{\MT_options_name:}{
+ prescript-sup-format={},
+ prescript-sub-format={},
+ prescript-arg-format={},
+}
+\def\@DeclareMathSizes #1#2#3#4#5{%
+ \@defaultunits\dimen@ #2pt\relax\@nnil
+ \if:w $#3$%
+ \MH_let:cN {S@\strip@pt\dimen@}\math@fontsfalse
+ \else:
+ \@defaultunits\dimen@ii #3pt\relax\@nnil
+ \@defaultunits\@tempdima #4pt\relax\@nnil
+ \@defaultunits\@tempdimb #5pt\relax\@nnil
+ \toks@{#1}%
+ \expandafter\xdef\csname S@\strip@pt\dimen@\endcsname{%
+ \gdef\noexpand\tf@size{\strip@pt\dimen@ii}%
+ \gdef\noexpand\sf@size{\strip@pt\@tempdima}%
+ \gdef\noexpand\ssf@size{\strip@pt\@tempdimb}%
+ \the\toks@
+ }%
+ \fi:
+}
+\def\MT_mathic_true: {
+ \MH_if_boolean:nF {math_italic_corr}{
+ \MH_set_boolean_T:n {math_italic_corr}
+ \MH_if_boolean:nTF {robustify}{
+ \MH_let:NwN \MT_mathic_redeffer: \DeclareRobustCommand
+ }{
+ \MH_let:NwN \MT_mathic_redeffer: \renewcommand
+ }
+ \MH_let:NwN \MT_begin_inlinemath: \(
+ %\renewcommand*\({
+ \MT_mathic_redeffer:*\({
+ \relax\ifmmode\@badmath\else
+ \ifhmode
+ \if_dim:w \fontdimen\@ne\font>\z@
+ \if_dim:w \lastskip>\z@
+ \skip@\lastskip\unskip
+ \if_num:w \lastpenalty>\z@
+ \count@\lastpenalty\unpenalty
+ \fi:
+ \@@italiccorr
+ \if_num:w \count@>\z@
+ \penalty\count@
+ \fi:
+ \hskip\skip@
+ \else:
+ \@@italiccorr
+ \fi:
+ \fi:
+ \fi:
+ $\fi:
+ }
+ }
+}
+\def\MT_mathic_false: {
+ \MH_if_boolean:nT {math_italic_corr}{
+ \MH_set_boolean_F:n {math_italic_corr}
+ \MH_if_boolean:nTF {robustify}{
+ \edef\({\MT_begin_inlinemath:}%
+ \forced_EQ_MakeRobust\(%
+ }{
+ \MH_let:NwN \( \MT_begin_inlinemath:
+ }
+ }
+}
+\MH_new_boolean:n {math_italic_corr}
+\define@key{\MT_options_name:}{mathic}[true]{
+ \@ifundefined{MT_mathic_#1:}
+ { \MT_true_false_error:
+ \@nameuse{MT_mathic_false:}
+ }
+ { \@nameuse{MT_mathic_#1:} }
+}
+\newenvironment{spreadlines}[1]{
+ \setlength{\jot}{#1}
+ \ignorespaces
+}{ \ignorespacesafterend }
+\MaybeMHPrecedingSpacesOff
+\newenvironment{MT_gathered_env}[1][c]{%
+ \RIfM@\else
+ \nonmatherr@{\begin{\@currenvir}}%
+ \fi
+ \null\,%
+ \if #1t\vtop \else \if#1b\vbox \else \vcenter \fi\fi \bgroup
+ \Let@ \chardef\dspbrk@context\@ne \restore@math@cr
+ \spread@equation
+ \ialign\bgroup
+ \MT_gathered_pre:
+ \strut@$\m@th\displaystyle##$
+ \MT_gathered_post:
+ \crcr
+}{%
+ \endaligned
+ \MT_gathered_env_end:
+}
+\MHPrecedingSpacesOn
+\newcommand*\newgathered[4]{
+ \newenvironment{#1}
+ { \def\MT_gathered_pre:{#2}
+ \def\MT_gathered_post:{#3}
+ \def\MT_gathered_env_end:{#4}
+ \MT_gathered_env
+ }{\endMT_gathered_env}
+}
+\newcommand*\renewgathered[4]{
+ \renewenvironment{#1}
+ { \def\MT_gathered_pre:{#2}
+ \def\MT_gathered_post:{#3}
+ \def\MT_gathered_env_end:{#4}
+ \MT_gathered_env
+ }{\endMT_gathered_env}
+}
+\newgathered{lgathered}{}{\hfil}{}
+\newgathered{rgathered}{\hfil}{}{}
+\renewgathered{gathered}{\hfil}{\hfil}{}
+\newcommand*\splitfrac[2]{%
+ \genfrac{}{}{0pt}{1}%
+ {\textstyle#1\quad\hfill}%
+ {\textstyle\hfill\quad\mathstrut#2}%
+}
+\newcommand*\splitdfrac[2]{%
+ \genfrac{}{}{0pt}{0}{#1\quad\hfill}{\hfill\quad\mathstrut #2}%
+}
+\MH_if_boolean:nT {fixamsmath}{
+\def\place@tag{%
+ \iftagsleft@
+ \kern-\tagshift@
+ \if@fleqn
+ \if_num:w \xatlevel@=\tw@
+ \kern-\@mathmargin
+ \fi:
+ \fi:
+ \if:w 1\shift@tag\row@\relax
+ \rlap{\vbox{%
+ \normalbaselines
+ \boxz@
+ \vbox to\lineht@{}%
+ \raise@tag
+ }}%
+ \else:
+ \rlap{\boxz@}%
+ \fi:
+ \kern\displaywidth@
+ \else:
+ \kern-\tagshift@
+ \if:w 1\shift@tag\row@\relax
+ \llap{\vtop{%
+ \raise@tag
+ \normalbaselines
+ \setbox\@ne\null
+ \dp\@ne\lineht@
+ \box\@ne
+ \boxz@
+ }}%
+ \else:
+ \llap{\boxz@}%
+ \fi:
+ \fi:
+}
+\def\x@calc@shift@lf{%
+ \if_dim:w \eqnshift@=\z@
+ \global\eqnshift@\@mathmargin\relax
+ \alignsep@\displaywidth
+ \advance\alignsep@-\totwidth@
+ \if_num:w \@tempcntb=0
+ \else:
+ \global\divide\alignsep@\@tempcntb % original line
+ \fi:
+ \if_dim:w \alignsep@<\minalignsep\relax
+ \global\alignsep@\minalignsep\relax
+ \fi:
+ \fi:
+ \if_dim:w \tag@width\row@>\@tempdima
+ \saveshift@1%
+ \else:
+ \saveshift@0%
+ \fi:}%
+}
+\MaybeMHPrecedingSpacesOff
+\renewcommand\aligned@a[1][c]{\start@aligned{#1}\m@ne}
+\MHPrecedingSpacesOn
+\endinput
+%%
+%% End of file `mathtools.sty'.