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mathtools.sty
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mathtools.sty
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%%
%% 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
%%
%% 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, Will Robertson and Joseph Wright.
%%
%% This work consists of the main source file mathtools.dtx
%% and the derived files
%% mathtools.sty, mathtools.pdf, mathtools.ins, mathtools.drv.
%%
\ProvidesPackage{mathtools}%
[2012/04/24 v1.12 mathematical typesetting tools]
\RequirePackage{keyval,calc}
\RequirePackage{mhsetup}[2010/01/21]
\MHInternalSyntaxOn
\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
}
\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.}
}
\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}}}
}
\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{##
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\upbracketfill {#1}{#2}%
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\limits}
\def\upbracketfill#1#2{%
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\upbracketend{#1}{#2}
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}
\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]{
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\def\MT_overbracket_II:w[#1][#2]#3{%
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\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-\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}{
\ifnum#2>9\relax
\PackageError{mathtools}{No~ more~ than~ 9~ arguments}{}
\else
\ifnum#2<1\relax
\PackageError{mathtools}{Macro~ need~ 1~ or~ more~ arguments}{}
\fi
\fi
\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_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 \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\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}}