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Diffstat (limited to 'Master/texmf-dist/tex/latex/mh/mathtools.sty')
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diff --git a/Master/texmf-dist/tex/latex/mh/mathtools.sty b/Master/texmf-dist/tex/latex/mh/mathtools.sty new file mode 100644 index 00000000000..e91b6692726 --- /dev/null +++ b/Master/texmf-dist/tex/latex/mh/mathtools.sty @@ -0,0 +1,1063 @@ +%% +%% This is file `mathtools.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% mathtools.dtx (with options: `package') +%% +%% It 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 2003/12/01 or later. +%% +%% This work has the LPPL maintenance status "maintained". +%% +%% The Current Maintainer of this work is Morten H\o gholm. +%% +%% This work consists of the files mathtools.dtx and mathtools.ins +%% and the derived file mathtools.sty. +%% +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mathtools} + [2004/10/10 v1.01a mathematical typesetting tools (MH)] +\RequirePackage{keyval,calc} +\RequirePackage{mhsetup}[2004/10/10] +\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:nT {manual_tag} + { \MH_if_boolean:nTF {show_manual_tags} + { \MT_prev_tagform:n {#1} } + { \stepcounter{equation} } + } + \else: + \MH_if_boolean:nTF {manual_tag} + { \MH_if_boolean:nTF {show_manual_tags} + { \MT_prev_tagform:n {#1} } + { \@ifundefined{MT_r_\df@label} + { } + { \MT_prev_tagform:n {#1} } + } + } + { \@ifundefined{MT_r_\df@label} + { } + { \refstepcounter{equation}\MT_prev_tagform:n {#1} } + } + \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} } + { \@ifundefined{MT_r_\df@label} + { } + { \MT_maketag:n {#1} } + } + } + { \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 +} +\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{% + $\ext@arrow 3095\MT_rightharpoonup_fill:{\phantom{#1}}{#2}$}% + \setbox0=\hbox{% + $\ext@arrow 0359\MT_leftharpoondown_fill:{#1}{\phantom{#2}}$}% + \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}} +\begingroup + \catcode`\:=\active + \lowercase{\endgroup + \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: { + \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{\vcentcolon\mkern-.9mu\vcentcolon} + \providecommand*\coloneqq{\vcentcolon\mkern-1.2mu=} + \providecommand*\Coloneqq{\dblcolon\mkern-1.2mu=} + \providecommand*\coloneq{\vcentcolon\mkern-1.2mu\mathrel{-}} + \providecommand*\Coloneq{\dblcolon\mkern-1.2mu\mathrel{-}} + \providecommand*\eqqcolon{=\mkern-1.2mu\vcentcolon} + \providecommand*\Eqqcolon{=\mkern-1.2mu\dblcolon} + \providecommand*\eqcolon{\mathrel{-}\mkern-1.2mu\vcentcolon} + \providecommand*\Eqcolon{\mathrel{-}\mkern-1.2mu\dblcolon} + \providecommand*\colonapprox{\vcentcolon\mkern-1.2mu\approx} + \providecommand*\Colonapprox{\dblcolon\mkern-1.2mu\approx} + \providecommand*\colonsim{\vcentcolon\mkern-1.2mu\sim} + \providecommand*\Colonsim{\dblcolon\mkern-1.2mu\sim} +} +\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][] + { + \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 + } +\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*\DeclarePairedDelimiter[3]{% + \@ifdefinable{#1}{ + \edef\MT_next: {\MH_cs_to_str:N #1} + \@namedef{MT_delim_\MT_next: _star:}##1 + {\left#2 ##1 \right #3}% + \@xp\@xp\@xp + \newcommand + \@xp\csname MT_delim_\MT_next: _nostar:\endcsname[2][\\@gobble] + { \edef\MT_next: {\MH_cs_to_str:N ##1} + \@nameuse {\MT_next: l} #2 ##2 \@nameuse {\MT_next: r} #3} + \newcommand{#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:nn #1#2{ + \RIfM@\else + \nonmatherr@{\begin{\@currenvir}}% + \fi + \left\lbrace + \vcenter \bgroup + \Let@ \chardef\dspbrk@context\@ne \restore@math@cr + \spread@equation + \ialign\bgroup + \strut@$\m@th\displaystyle{##}$\hfil\strut@ + #2 + \crcr +} +\newcommand*\newcases[3]{ + \newenvironment{#1} + {\MT_start_cases:nn {#2}{#3}} + {\endaligned\right.} +} +\newcommand*\renewcases[3]{ + \renewenvironment{#1} + {\MT_start_cases:nn {#2}{#3}} + {\endaligned\right.} +} +\newcases{dcases}{\quad}{$\m@th\displaystyle{##}$\hfil} +\newcases{dcases*}{\quad}{{##}\hfil} +\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} +\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: +} +\def\shortintertext#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% + }% +} +\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}} +} +\DeclareRobustCommand{\prescript}[3]{ + \@mathmeasure\z@\scriptstyle{\MT_prescript_sup:{#1}} + \@mathmeasure\tw@\scriptstyle{\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} +} +\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_let:NwN \MT_begin_inlinemath: \( + \renewcommand*\({\relax\ifmmode\@badmath\else + \ifhmode + \if_dim:w \fontdimen\@ne\font>\z@ + \if_dim:w \lastskip>\z@ + \skip@\lastskip\unskip + \@@italiccorr + \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_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'. |