%%
%% This is file `siunitx.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% siunitx.dtx  (with options: `package')
%%  ----------------------------------------------------------------
%%  The siunitx package --- A comprehensive (SI) units package
%%  Maintained by Joseph Wright
%%  E-mail: joseph.wright@morningstar2.co.uk
%%  Released under the LaTeX Project Public License v1.3c or later
%%  See http://www.latex-project.org/lppl.txt
%%  ----------------------------------------------------------------
%% 
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{siunitx}
  [2009/04/01 v1.2i A comprehensive (SI) units package]
\begingroup
  \@ifundefined{eTeXversion}
    {\PackageError{siunitx}
       {Not running under e-TeX}
       {This package requires e-TeX. Try compiling the document
        with\MessageBreak `elatex' instead of `latex'. When
        using pdfTeX, try `pdfelatex'\MessageBreak instead of
        `pdflatex'}%
     \endgroup\endinput}
    {\endgroup}
\edef\si@catcodes{%
  \catcode\string`\string ` \the\catcode\string`\`\relax
  \catcode\string`\string = \the\catcode\string`\=\relax
  \catcode\string`\string ^ \the\catcode\string`\^\relax
  \catcode\string`\string _ \the\catcode\string`\_\relax
  \catcode\string`\string ~ \the\catcode\string`\~\relax
  \catcode\string`\string : \the\catcode\string`\:\relax
  \catcode\string`\string - \the\catcode\string`\-\relax
  \catcode\string`\string + \the\catcode\string`\+\relax
  \catcode\string`\string ; \the\catcode\string`\;\relax
  \catcode\string`\string , \the\catcode\string`\,\relax
  \catcode\string`\string . \the\catcode\string`\.\relax}
\catcode\string`\` 12\relax
\catcode`\= 12\relax
\catcode`\^ 7\relax
\catcode`\_ 8\relax
\catcode`\~ \active\relax
\@makeother{\:}
\@makeother{\-}
\@makeother{\+}
\@makeother{\;}
\@makeother{\,}
\@makeother{\.}
\RequirePackage{xkeyval}[2005/05/07]
\RequirePackage{amstext,array,xspace}
\newcommand*{\si@tempa}{}
\newcommand*{\si@tempb}{}
\newcommand*{\si@tempc}{}
\newif\ifsi@switch
\newbox\si@tempboxa
\newbox\si@tempboxb
\newbox\si@tempboxc
\newbox\si@tempboxd
\newtoks{\si@temptoks}
\newcommand*{\si@blockpkgs}{SIunits,sistyle,siunits,SIstyle,%
  unitsdef,fancyunits}
\newcommand*{\si@checkpkgs}{units,hepunits,fancynum}
\newcommand*{\si@packagecheck}{%
  \begingroup
  \@for\si@tempa:=\si@blockpkgs\do{
    \@ifpackageloaded{\si@tempa}
      {\PackageError{siunitx}
         {Package `\si@tempa' incompatible}
         {The \si@tempa\space package and siunitx are
          incompatible.\MessageBreak Use the
          `emulate=\si@tempa' package option when loading
          siunitx}}
      {}}
  \@for\si@tempa:=\si@checkpkgs\do{%
    \@ifpackageloaded{\si@tempa}
      {\PackageWarning{siunitx}
         {Consider loading the siunitx package
          with\MessageBreak option `emulate=\si@tempa', rather
          than\MessageBreak loading both \si@tempa\space and
          siunitx}}
      {}}
  \endgroup}
\si@packagecheck
\AtBeginDocument{\si@packagecheck}
\newcommand*{\si@ifdefinable}[1]{%
  \expandafter\expandafter\expandafter\@ifundefined%
    \expandafter\expandafter\expandafter%
      {\expandafter\@gobble\string#1}}
\newcommand*{\si@addtolist}[2]{%
  \ifx\@empty#1\@empty
    \edef#1{#2}%
  \else
    \edef#1{#1,#2}%
  \fi}
\newcommand*{\si@addtocsname}[2]{%
  \@ifundefined{#1}
    {\expandafter\gdef\csname #1\endcsname{#2}}
    {\si@temptoks\expandafter\expandafter\expandafter{%
       \csname #1\endcsname#2}%
     \expandafter\xdef\csname #1\endcsname{\the\si@temptoks}}}
\begingroup
  \catcode`\Q=3
  \long\gdef\si@ifmtarg#1{%
    \si@xifmtarg#1QQ\@secondoftwo\@firstoftwo\@nil}
  \long\gdef\si@xifmtarg#1#2Q#3#4#5\@nil{#4}
  \long\gdef\si@ifnotmtarg#1{%
    \si@xifmtarg#1QQ\@firstofone\@gobble\@nil}
\endgroup
\@ifpackageloaded{etoolbox}
  {\let\si@newrobustcmd\newrobustcmd}
  {\protected\def\si@newrobustcmd{%
     \@ifstar
       {\let\l@ngrel@x\protected\si@newcommand}
       {\def\l@ngrel@x{\protected\long}\si@newcommand}}
   \newcommand*{\si@newcommand}[1]{\@testopt{\si@newcmd#1}0}
   \def\si@newcmd#1[#2]{%
     \@ifnextchar[%]
       {\si@xargdef#1[#2]}
       {\@argdef#1[#2]}}
   \long\def\si@xargdef#1[#2][#3]#4{%
     \@ifdefinable#1{%
       \expandafter\protected
       \expandafter\def
       \expandafter#1%
       \expandafter{%
         \expandafter\@testopt
         \csname\string#1\endcsname{#3}}%
       \expandafter\@yargdef
       \csname\string#1\endcsname\tw@{#2}{#4}}}}
\newif\ifsi@debug
\newif\ifsi@logmin
\newif\ifsi@lognone
\newcommand*{\si@log@err}[2]{%
  \ifsi@lognone\else
    \ifsi@logmin
      \PackageWarning{siunitx}{#1}%
    \else
      \PackageError{siunitx}{#1}{#2}%
    \fi
  \fi}
\newcommand*{\si@log@warn}[1]{%
  \ifsi@lognone\else
    \ifsi@logmin\else
      \PackageWarning{siunitx}{#1}%
    \fi
  \fi}
\newcommand*{\si@log@inf}[1]{%
  \ifsi@lognone\else
    \ifsi@logmin\else
      \PackageInfo{siunitx}{#1}%
    \fi
  \fi}
\newcommand*{\si@log@debug}[1]{%
  \ifsi@lognone\else
    \ifsi@debug
      \PackageInfo{siunitx}{#1}%
    \fi
  \fi}
\newcommand*{\si@str@ifchrstr}[2]{%
  \begingroup
    \si@switchfalse
    \renewcommand*{\si@tempa}{#1}%
    \protected@edef\si@tempb{#2}%
    \expandafter\si@str@chrstr\si@tempb\@empty\@empty\@empty
    \ifsi@switch
      \aftergroup\@firstoftwo
    \else
      \aftergroup\@secondoftwo
    \fi
  \endgroup}
\def\si@str@chrstr#1#2\@empty{%
  \renewcommand*{\si@tempc}{#1}%
  \ifx\si@tempa\si@tempc
    \expandafter\si@switchtrue
  \else
    \ifx\@empty#2\@empty\else
      \si@str@chrstr#2\@empty\@empty
    \fi
  \fi}
\newcommand*{\si@str@ifonlychrs}[2]{%
  \begingroup
    \si@switchtrue
    \protected@edef\si@tempa{#1}%
    \renewcommand*{\si@tempb}{#2}%
    \expandafter\si@str@onlychrs\si@tempa\@empty\@empty\@empty
    \ifsi@switch
      \aftergroup\@firstoftwo
    \else
      \aftergroup\@secondoftwo
    \fi
  \endgroup}
\def\si@str@onlychrs#1#2\@empty{%
  \si@str@ifchrstr{#1}{\si@tempb}
    {}{\si@switchfalse}%
  \ifx\@empty#2\@empty\else
    \si@str@onlychrs#2\@empty\@empty
  \fi}
\newcommand*{\sisetup}{\setkeys[si]{key}}
\newcommand*{\si@opt@key}[2]{%
  \define@key[si]{key}{#1}
  {#2\si@log@debug{Option #1 set to ##1}}}
\newcommand*{\si@opt@cmdkey}[3][]{%
  \define@cmdkey[si]{key}[si@]{#2}[#1]{#3}}
\newcommand*{\si@opt@cmdkeys}[2][]{%
  \define@cmdkeys[si]{key}[si@]{#2}[#1]}
\newcommand*{\si@opt@boolkey}[2][]{%
  \define@boolkey[si]{key}[si@]{#2}[true]
  {#1\si@log@debug{Option #2 set to ##1}}}
\newcommand*{\si@opt@choicekey}[4][]{%
  \define@choicekey*+[si]{key}{#2}[\si@tempa]{#3}[#1]
    {#4\si@log@debug{Option #2 set to ##1}}
    {\si@log@warn{Unknown value `##1' for option #2}}}
\newcommand*{\si@opt@xchoicekey}[3]{%
  \define@choicekey*+[si]{key}{#1}[\si@tempa]{#2}[#1]
    {\si@log@debug{Option #1 set to ##1}%
     \expandafter\renewcommand\expandafter*\expandafter{%
      \csname si@#1\endcsname}{\@nameuse{si@fix@##1}}}
    {\si@log@debug{Option #1 set to ##1}%
     \expandafter\renewcommand\expandafter*\expandafter{%
      \csname si@#1\endcsname}{##1}}
  \expandafter\newcommand\expandafter*\expandafter{%
    \csname si@#1\endcsname}%
    {\@nameuse{si@fix@#3}}}
\newcommand*{\si@opt@compatkey}[2]{%
  \define@boolkey[si]{key}[si@old@]{#2}[true]
  {\si@log@debug{Emulating #1 package option\MessageBreak #2}%
   \sisetup{emulate=#1}%
   \si@log@debug{Option #2 set to ##1}}
   \AtEndOfPackage{\si@opt@disablekey{#2}
     {Compatibility option #2 only\MessageBreak
        available when loading siunitx package}}}
\newcommand*{\si@opt@disablekey}[2]{%
  \key@ifundefined[si]{key}{#1}
    {}
    {\si@log@debug{Disabling key #1}%
     \si@opt@key{#1}{\si@log@warn{#2}}}}
\si@opt@choicekey[normal]{log}{debug,verbose,normal,errors,none}
  {\si@debugfalse
   \si@logminfalse
   \si@lognonefalse
   \renewcommand*{\si@tempb}{none}%
   \ifx\si@tempa\si@tempb
     \si@lognonetrue
   \fi
   \renewcommand*{\si@tempb}{minimal}%
   \ifx\si@tempa\si@tempb
     \si@logmintrue
   \fi
   \renewcommand*{\si@tempb}{debug}%
   \ifx\si@tempa\si@tempb
     \si@debugtrue
   \fi
   \renewcommand*{\si@tempb}{verbose}%
   \ifx\si@tempa\si@tempb
     \si@debugtrue
   \fi}
\si@opt@boolkey{debug}
\si@opt@boolkey[%
  \ifsi@strict
    \sisetup{
      obeymode=false,
      obeybold=false,
      obeyitalic=false,
      mode=maths,
      repeatunits=true,
      trapambigerr=true,
      trapambigfrac=true,
      trapambigrange=true}
    \@for\si@tempa:=obeyall,obeymode,obeyitalic,mode,unitmode,%
      valuemode,textmode,obeybold,repeatunits,trapambigerr,%
      trapambigfrac,trapambigrange\do{%
      \begingroup
        \edef\si@tempb{\endgroup
          \noexpand\si@opt@disablekey{\si@tempa}
          {Option `\si@tempa' forbidden in strict mode}}%
      \si@tempb}
  \fi]{strict}
\AtEndOfPackage{
  \si@opt@disablekey{strict}
    {Option `strict' only available when\MessageBreak
     loading package}}
\newcommand*{\si@emulate}{}
\si@opt@key{emulate}{\si@addtolist{\si@emulate}{#1}}
\AtEndOfPackage{
  \si@opt@disablekey{emulate}
    {Option `emulate' only available when\MessageBreak
     loading package}}
\si@opt@xchoicekey{unitsep}
  {space,thin,med,medium,thick,none,comma,stop,fullstop,period,
    times,tighttimes,cdot,tightcdot}{thin}
\si@opt@xchoicekey{unitspace}{space,thin,med,medium,thick,
  none}{thin}
\si@opt@xchoicekey{errspace}{space,thin,med,medium,thick,
  none}{none}
\si@opt@xchoicekey{valuesep}
  {space,thin,med,medium,thick,none,comma,stop,fullstop,period,
    times,tighttimes,cdot,tightcdot}{thin}
\si@opt@xchoicekey{digitsep}
  {space,thin,med,medium,thick,none,comma,stop,fullstop,period,
    times,tighttimes,cdot,tightcdot}{thin}
\si@opt@xchoicekey{decimalsymbol}{comma,stop,fullstop,period,
  cdot,tightcdot}{fullstop}
\si@opt@xchoicekey{anglesep}
    {space,thin,med,medium,thick,none,comma,stop,fullstop,period,
      times,tighttimes,cdot,tightcdot}{none}
\si@opt@boolkey{obeymode}
\newif\ifsi@numtextmode
\newif\ifsi@unittextmode
\si@opt@choicekey[true]{textmode}{true,false}
  {\si@numtextmodefalse
   \si@unittextmodefalse
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@numtextmodetrue
     \si@unittextmodetrue
   \fi}
\si@opt@choicekey{mode}{math,maths,text}
  {\si@numtextmodefalse
   \si@unittextmodefalse
   \renewcommand*{\si@tempb}{text}%
   \ifx\si@tempa\si@tempb
     \si@numtextmodetrue
     \si@unittextmodetrue
   \fi}
\si@opt@choicekey{valuemode}{math,maths,text}
  {\si@numtextmodefalse
   \renewcommand*{\si@tempb}{text}%
   \ifx\si@tempa\si@tempb
     \si@numtextmodetrue
   \fi}
\si@opt@choicekey{unitmode}{math,maths,text}
  {\si@unittextmodefalse
   \renewcommand*{\si@tempb}{text}%
   \ifx\si@tempa\si@tempb
     \si@unittextmodetrue
   \fi}
\si@opt@boolkey{obeyfamily}
\si@opt@boolkey{obeybold}
\newif\ifsi@inlinebtext
\si@opt@choicekey{inlinebold}{text,maths,math}
  {\si@inlinebtextfalse
   \renewcommand*{\si@tempb}{text}%
   \ifx\si@tempa\si@tempb
     \si@inlinebtexttrue
   \fi}
\si@opt@boolkey{obeyitalic}
\si@opt@boolkey{detectdisplay}
\si@opt@choicekey[true]{obeyall}{true,false}
  {\si@obeyboldfalse
   \si@obeyitalicfalse
   \si@obeymodefalse
   \si@obeyfamilyfalse
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@obeyboldtrue
     \si@obeyitalictrue
     \si@obeymodetrue
     \si@obeyfamilytrue
   \fi}
\si@opt@cmdkeys{valuemathsrm,valuemathssf,valuemathstt}
\si@opt@cmdkeys{unitmathsrm,unitmathssf,unitmathstt}
\si@opt@key{valuemathrm}{\sisetup{valuemathsrm=#1}}
\si@opt@key{valuemathsf}{\sisetup{valuemathssf=#1}}
\si@opt@key{valuemathtt}{\sisetup{valuemathstt=#1}}
\si@opt@key{unitmathrm}{\sisetup{unitmathsrm=#1}}
\si@opt@key{unitmathsf}{\sisetup{unitmathssf=#1}}
\si@opt@key{unitmathtt}{\sisetup{unitmathstt=#1}}
\si@opt@key{mathsrm}{\sisetup{valuemathsrm=#1,unitmathsrm=#1}}
\si@opt@key{mathssf}{\sisetup{valuemathssf=#1,unitmathssf=#1}}
\si@opt@key{mathstt}{\sisetup{valuemathstt=#1,unitmathstt=#1}}
\si@opt@key{mathrm}{\sisetup{valuemathsrm=#1,unitmathsrm=#1}}
\si@opt@key{mathsf}{\sisetup{valuemathssf=#1,unitmathssf=#1}}
\si@opt@key{mathtt}{\sisetup{valuemathstt=#1,unitmathstt=#1}}
\si@opt@cmdkeys{valuetextrm,valuetextsf,valuetexttt}
\si@opt@cmdkeys{unittextrm,unittextsf,unittexttt}
\si@opt@key{textrm}{\sisetup{unittextrm=#1,valuetextrm=#1}}
\si@opt@key{textsf}{\sisetup{unittextsf=#1,valuetextsf=#1}}
\si@opt@key{texttt}{\sisetup{unittexttt=#1,valuetexttt=#1}}
\si@opt@cmdkeys{numdigits,numdecimal,numexp,numgobble,numsign,%
  numcloseerr,numopenerr,numaddn,numprod,numdiv}
\newcommand*{\si@numextra}{%
  \si@numopenerr\si@numcloseerr\si@numaddn}
\newcommand*{\si@numvalid}{\si@numgobble\si@numexp\si@numsign
  \si@numdecimal\si@numdigits\si@numextra\si@numprod\si@numdiv}
\si@opt@boolkey{seperr}
\si@opt@boolkey{trapambigerr}
\si@opt@cmdkeys{openerr,closeerr}
\si@opt@boolkey{sepfour}
\si@opt@boolkey{retainplus}
\si@opt@xchoicekey{expproduct}{times,tighttimes,
  cdot,tightcdot}{times}
\si@opt@xchoicekey{expbase}{ten}{ten}
\si@opt@boolkey{allowzeroexp}
\si@opt@xchoicekey{prefixproduct}{times,tighttimes,cdot,
  tightcdot,none}{times}
\si@opt@xchoicekey{prefixbase}{ten,two}{ten}
\si@opt@boolkey{prefixsymbolic}
\newif\ifsi@num@padlead
\newif\ifsi@num@padtrail
\si@opt@choicekey[all]{padnumber}
  {leading,lead,trailing,trail,all,both,true,none,false}
  {\si@num@padleadfalse
   \si@num@padtrailfalse
   \renewcommand*{\si@tempb}{leading}%
   \ifx\si@tempa\si@tempb
     \si@num@padleadtrue
   \fi
   \renewcommand*{\si@tempb}{lead}%
   \ifx\si@tempa\si@tempb
     \si@num@padleadtrue
   \fi
   \renewcommand*{\si@tempb}{trailing}%
   \ifx\si@tempa\si@tempb
     \si@num@padtrailtrue
   \fi
   \renewcommand*{\si@tempb}{trail}%
   \ifx\si@tempa\si@tempb
     \si@num@padtrailtrue
   \fi
   \renewcommand*{\si@tempb}{all}%
   \ifx\si@tempa\si@tempb
     \si@num@padleadtrue
     \si@num@padtrailtrue
   \fi
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@num@padleadtrue
     \si@num@padtrailtrue
   \fi
   \renewcommand*{\si@tempb}{both}%
   \ifx\si@tempa\si@tempb
     \si@num@padleadtrue
     \si@num@padtrailtrue
   \fi}
\newif\ifsi@num@signmant
\newif\ifsi@num@signexp
\si@opt@xchoicekey{sign}{plus,minus,pm,mp}{plus}
\si@opt@choicekey[all]{addsign}
  {mantissa,exponent,mant,exp,all,both,true,none,false}
  {\si@num@signmantfalse
   \si@num@signexpfalse
   \renewcommand*{\si@tempb}{mantissa}%
   \ifx\si@tempa\si@tempb
     \si@num@signmanttrue
   \fi
   \renewcommand*{\si@tempb}{mant}%
   \ifx\si@tempa\si@tempb
     \si@num@signmanttrue
   \fi
   \renewcommand*{\si@tempb}{exponent}%
   \ifx\si@tempa\si@tempb
     \si@num@signexptrue
   \fi
   \renewcommand*{\si@tempb}{exp}%
   \ifx\si@tempa\si@tempb
     \si@num@signexptrue
   \fi
   \renewcommand*{\si@tempb}{all}%
   \ifx\si@tempa\si@tempb
     \si@num@signmanttrue
     \si@num@signexptrue
   \fi
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@num@signmanttrue
     \si@num@signexptrue
   \fi
   \renewcommand*{\si@tempb}{both}%
   \ifx\si@tempa\si@tempb
     \si@num@signmanttrue
     \si@num@signexptrue
   \fi}
\si@opt@boolkey{tightpm}
\newcommand*{\si@pm}{%
  \ifsi@tightpm
    \si@fix@tightpm
  \else
    \si@fix@pm
  \fi}
\newif\ifsi@ang@padsmall
\newif\ifsi@ang@padlarge
\si@opt@choicekey[all]{padangle}
  {small,large,all,both,true,none,false}
  {\si@ang@padsmallfalse
   \si@ang@padlargefalse
   \renewcommand*{\si@tempb}{small}%
   \ifx\si@tempa\si@tempb
     \si@ang@padsmalltrue
   \fi
   \renewcommand*{\si@tempb}{large}%
   \ifx\si@tempa\si@tempb
     \si@ang@padlargetrue
   \fi
   \renewcommand*{\si@tempb}{all}%
   \ifx\si@tempa\si@tempb
     \si@ang@padsmalltrue
     \si@ang@padlargetrue
   \fi
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@ang@padsmalltrue
     \si@ang@padlargetrue
   \fi
   \renewcommand*{\si@tempb}{both}%
   \ifx\si@tempa\si@tempb
     \si@ang@padsmalltrue
     \si@ang@padlargetrue
   \fi}
\newif\ifsi@ang@toarc
\newif\ifsi@ang@todec
\si@opt@choicekey[all]{angformat}
  {dec,decimal,arc,dms,unchanged,none}
  {\si@ang@toarcfalse
   \si@ang@todecfalse
   \renewcommand*{\si@tempb}{dec}%
   \ifx\si@tempa\si@tempb
     \si@ang@todectrue
   \fi
   \renewcommand*{\si@tempb}{decimal}%
   \ifx\si@tempa\si@tempb
     \si@ang@todectrue
   \fi
   \renewcommand*{\si@tempb}{arc}%
   \ifx\si@tempa\si@tempb
     \si@ang@toarctrue
   \fi
   \renewcommand*{\si@tempb}{dms}%
   \ifx\si@tempa\si@tempb
     \si@ang@toarctrue
   \fi}
\si@opt@boolkey{astroang}
\si@opt@boolkey{strictarc}
\newif\ifsi@tab@fixed
\si@opt@boolkey{tabparseonly}
\si@opt@choicekey{tabnumalign}
  {centredecimal,centerdecimal,right,left,centre,center}
  {\si@tab@fixedtrue
   \def\si@tab@rfill@S{0.5}%
   \def\si@tab@lfill@S{0.5}%
   \renewcommand*{\si@tempb}{right}%
   \ifx\si@tempa\si@tempb
     \def\si@tab@rfill@S{0}%
     \def\si@tab@lfill@S{1}%
   \fi
   \renewcommand*{\si@tempb}{left}%
   \ifx\si@tempa\si@tempb
     \def\si@tab@rfill@S{1}%
     \def\si@tab@lfill@S{0}%
   \fi
   \renewcommand*{\si@tempb}{centredecimal}%
   \ifx\si@tempa\si@tempb
     \expandafter\si@tab@fixedfalse
   \fi
   \renewcommand*{\si@tempb}{centerdecimal}%
   \ifx\si@tempa\si@tempb
     \expandafter\si@tab@fixedfalse
   \fi}
\si@opt@key{tabalign}{\sisetup{tabnumalign=#1,tabtextalign=#1,
  tabunitalign=#1}}
\si@opt@boolkey{tabalignexp}
\si@opt@boolkey[%
  \si@tabalignexpfalse
  \ifsi@tabexpalign
    \expandafter\si@tabalignexptrue
  \fi
  ]{tabexpalign}
\newcount\si@tab@mantprecnt
\newcount\si@tab@mantpostcnt
\newcount\si@tab@expprecnt
\newcount\si@tab@exppostcnt
\newif\ifsi@tab@mantsign
\newif\ifsi@tab@expsign
\si@opt@cmdkey{tabformat}
  {\si@num@fixpm
   \renewcommand*{\si@num@arg}{tabformat data}%
   \renewcommand*{\si@num@exp}{}%
   \renewcommand*{\si@num@mant}{}%
   \si@tab@mantsignfalse
   \si@tab@expsignfalse
   \si@switchfalse
   \si@num@sepmantexp{#1}%
   \si@num@sepsign{mant}%
   \ifx\@empty\si@num@mantsign\@empty
     \ifsi@num@delplus
       \expandafter\expandafter\expandafter\si@tab@mantsigntrue
     \fi
   \else
     \expandafter\si@tab@mantsigntrue
   \fi
   \si@num@sepsign{exp}%
   \ifx\@empty\si@num@expsign\@empty
     \ifsi@num@delplus
       \expandafter\expandafter\expandafter\si@tab@expsigntrue
     \fi
   \else
     \expandafter\si@tab@expsigntrue
   \fi
   \si@opt@proctform{mant}%
   \si@opt@proctform{exp}%
   \ifnum\si@tab@mantpostcnt=\z@\relax
     \ifnum\si@tab@mantprecnt=\z@\relax
       \si@log@err{Empty mantissa argument for tabformat}
         {The argument `#1' contains no valid entry for
          a mantissa\MessageBreak It should be of the
          form `m.n', where  m and n are integers}%
     \fi
   \fi
   \ifsi@tab@fixed\else
     \sisetup{tabnumalign=centre}%
   \fi
   \let\pm\si@num@pm
   \let\mp\si@num@mp}
\newcommand*{\si@opt@proctform}[1]{%
  \renewcommand*{\si@num@predec}{}%
  \renewcommand*{\si@num@postdec}{}%
  \si@switchfalse
  \expandafter\si@ifnotmtarg\expandafter{%
    \csname si@num@#1\endcsname}
     {\expandafter\expandafter\expandafter\si@num@digits
        \csname si@num@#1\endcsname\@empty\@empty}%
   \csname si@tab@#1precnt\endcsname\z@\relax
   \csname si@tab@#1postcnt\endcsname\z@\relax
   \ifx\@empty\si@num@predec\@empty\else
     \csname si@tab@#1precnt\endcsname\si@num@predec\relax
   \fi
   \ifx\@empty\si@num@postdec\@empty\else
     \csname si@tab@#1postcnt\endcsname\si@num@postdec\relax
   \fi}
\si@opt@choicekey{tabtextalign}{left,right,centre,center}
  {\def\si@tab@rfill@t{0.5}%
   \def\si@tab@lfill@t{0.5}%
   \renewcommand*{\si@tempb}{right}%
   \ifx\si@tempa\si@tempb
     \def\si@tab@rfill@t{0}%
     \def\si@tab@lfill@t{1}%
   \fi
   \renewcommand*{\si@tempb}{left}%
   \ifx\si@tempa\si@tempb
     \def\si@tab@rfill@t{1}%
     \def\si@tab@lfill@t{0}%
   \fi}
\si@opt@choicekey{tabunitalign}{left,right,centre,center}
  {\def\si@tab@rfill@s{0.5}%
   \def\si@tab@lfill@s{0.5}%
   \renewcommand*{\si@tempb}{right}%
   \ifx\si@tempa\si@tempb
     \def\si@tab@rfill@s{0}%
     \def\si@tab@lfill@s{1}%
   \fi
   \renewcommand*{\si@tempb}{left}%
   \ifx\si@tempa\si@tempb
     \def\si@tab@rfill@s{1}%
     \def\si@tab@lfill@s{0}%
   \fi}
\si@opt@boolkey[%
  \ifsi@fixdp
    \expandafter\si@fixsffalse
  \fi]{fixdp}
\newcount\si@num@dp
\si@opt@key{dp}{%
  \si@str@ifonlychrs{#1}{0123456789}
    {\si@num@dp#1\relax
     \si@fixdptrue
     \si@fixsffalse}
    {\si@log@err{Invalid input for dp option}
      {The dp option must be given a positive integer}}}
\si@opt@boolkey[%
  \ifsi@fixsf
    \expandafter\si@fixdpfalse
  \fi]{fixsf}
\newcount\si@num@sf
\si@opt@key{sf}{%
  \si@str@ifonlychrs{#1}{0123456789}
    {\si@num@sf#1\relax
     \ifnum\si@num@sf=\z@\relax
       \si@log@warn{Setting sf=0 disables function}%
       \si@fixsffalse
     \else
       \si@fixsftrue
       \si@fixdpfalse
     \fi}
    {\si@log@err{Invalid input for sf option}
      {The sf option must be given a positive integer}}}
\si@opt@boolkey{tabautofit}
\si@opt@boolkey{xspace}
\si@opt@boolkey
  [\si@unt@numfalse
   \ifsi@prespace
     \si@unt@numtrue
  \fi]
  {prespace}
\si@opt@boolkey{allowoptarg}
\si@opt@boolkey{allowlitunits}
\newif\ifsi@slash
\newif\ifsi@frac
\si@opt@boolkey{stickyper}
\si@opt@choicekey[reciprocal]{per}
  {reciprocal,rp,power,slash,frac,fraction}
  {\si@slashfalse
   \si@fracfalse
   \let\si@frac\si@frc@frac
   \renewcommand*{\si@tempb}{slash}%
   \ifx\si@tempa\si@tempb
     \si@fractrue
     \si@slashtrue
     \let\si@frac\si@frc@slash
   \fi
   \renewcommand*{\si@tempb}{frac}%
   \ifx\si@tempa\si@tempb
     \si@fractrue
   \fi
   \renewcommand*{\si@tempb}{fraction}%
   \ifx\si@tempa\si@tempb
     \si@fractrue
   \fi}
\si@opt@xchoicekey{slash}{slash}{slash}
\newif\ifsi@repeatunits
\newif\ifsi@addunitpower
\si@opt@choicekey[true]{repeatunits}{true,false,power}
  {\si@repeatunitsfalse
   \si@addunitpowerfalse
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@repeatunitstrue
   \fi
   \renewcommand*{\si@tempb}{power}%
   \ifx\si@tempa\si@tempb
     \si@addunitpowertrue
   \fi}
\si@opt@boolkey{trapambigfrac}
\si@opt@cmdkeys{closefrac,openfrac}
\si@opt@choicekey[frac]{fraction}
  {frac,nicefrac,nice,sfrac,xfrac,uglyfrac,ugly}
  {\let\si@frac\si@frc@frac
   \renewcommand*{\si@tempb}{nicefrac}%
   \ifx\si@tempa\si@tempb
     \let\si@frac\si@frc@nice
   \fi
   \renewcommand*{\si@tempb}{uglyfrac}%
   \ifx\si@tempa\si@tempb
     \let\si@frac\si@frc@ugly
   \fi
   \renewcommand*{\si@tempb}{nice}%
   \ifx\si@tempa\si@tempb
     \let\si@frac\si@frc@nice
   \fi
   \renewcommand*{\si@tempb}{sfrac}%
   \ifx\si@tempa\si@tempb
     \let\si@frac\si@frc@sfrac
   \fi
   \renewcommand*{\si@tempb}{xfrac}%
   \ifx\si@tempa\si@tempb
     \let\si@frac\si@frc@sfrac
   \fi
   \renewcommand*{\si@tempb}{ugly}%
   \ifx\si@tempa\si@tempb
     \let\si@frac\si@frc@ugly
   \fi}
\si@opt@cmdkeys{load,noload}
\si@opt@key{alsoload}{\si@addtolist{\si@load}{#1}}
\AtEndOfPackage{
  \si@opt@disablekey{load}
    {Configuration files can only be used\MessageBreak
     when loading package}
  \si@opt@disablekey{noload}
    {Configuration files can only be used\MessageBreak
     when loading package}}
\AtEndOfPackage{
  \si@opt@key{alsoload}{%
    \@for\si@tempa:=#1\do{\si@loadfile{\si@tempa}}}}
\si@opt@boolkey{colourunits}
\si@opt@boolkey{colourvalues}
\si@opt@choicekey[true]{colorunits}
  {true,false}
  {\si@colourunitsfalse
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@colourunitstrue
   \fi}
\si@opt@choicekey[true]{colorvalues}
  {true,false}
  {\si@colourvaluesfalse
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@colourvaluestrue
   \fi}
\si@opt@choicekey[true]{colorall}
  {true,false}
  {\si@colourvaluesfalse
   \si@colourunitsfalse
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@colourunitstrue
     \si@colourvaluestrue
   \fi}
\si@opt@choicekey[true]{colourall}
  {true,false}
  {\si@colourvaluesfalse
   \si@colourunitsfalse
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@colourunitstrue
     \si@colourvaluestrue
   \fi}
\si@opt@cmdkeys{unitcolour,valuecolour}
\si@opt@key{unitcolor}{\sisetup{unitcolour=#1}}
\si@opt@key{valuecolor}{\sisetup{valuecolour=#1}}
\si@opt@key{colour}{\sisetup{unitcolour=#1,valuecolour=#1}}
\si@opt@key{color}{\sisetup{unitcolour=#1,valuecolour=#1}}
\si@opt@boolkey{colourneg}
\si@opt@choicekey[true]{colorneg}
  {true,false}
  {\si@colournegfalse
   \renewcommand*{\si@tempb}{true}%
   \ifx\si@tempa\si@tempb
     \si@colournegtrue
   \fi}
\si@opt@cmdkeys{negcolour}
\si@opt@key{negcolor}{\sisetup{negcolour=#1}}
\si@opt@cmdkeys{textOmega,mathsOmega}
\si@opt@key{mathOmega}{\sisetup{mathsOmega=#1}}
\newcommand*{\si@mathsOmega}{\text{\ensuremath{\Omega}}}
\newcommand*{\si@textOmega}{\ensuremath{\Omega}}
\si@opt@cmdkeys{textmu,mathsmu}
\si@opt@key{mathmu}{\sisetup{mathsmu=#1}}
\DeclareFontEncoding{TS1}{}{}
\DeclareFontSubstitution{TS1}{cmr}{m}{n}
\DeclareTextSymbol{\si@textmu}{TS1}{181}
\DeclareTextSymbolDefault{\si@textmu}{TS1}
\@ifpackageloaded{upgreek}
  {}
  {\DeclareFontFamily{OML}{eur}{\skewchar\font'177}
   \DeclareFontShape{OML}{eur}{m}{n}{%
    <-6> eurm5 <6-8> eurm7 <8-> eurm10}{}}
\AtBeginDocument{
  \@ifpackageloaded{upgreek}
    {\let\si@mathsmu\upmu}
    {\DeclareSymbolFont{si@greek}{OML}{eur}{m}{n}
     \DeclareMathSymbol{\si@mathsmu}{\mathord}{si@greek}{"16}}}
\si@opt@cmdkeys{textdegree,mathsdegree,textminute,mathsminute,
  textsecond,mathssecond}
\si@opt@key{mathdegree}{\sisetup{mathsdegree=#1}}
\si@opt@key{mathminute}{\sisetup{mathsminute=#1}}
\si@opt@key{mathsecond}{\sisetup{mathssecond=#1}}
\newcommand*{\si@textdegree}{\ensuremath{{}^{\circ}}}
\newcommand*{\si@mathsdegree}{{}^{\circ}}
\newcommand*{\si@textminute}{\ensuremath{{}^{\prime}}}
\newcommand*{\si@mathsminute}{{}^{\prime}}
\newcommand*{\si@textsecond}{\ensuremath{{}^{\prime\prime}}}
\newcommand*{\si@mathssecond}{{}^{\prime\prime}}
\si@opt@cmdkeys{textcelsius,mathscelsius}
\si@opt@key{mathcelsius}{\sisetup{mathscelsius=#1}}
\newcommand*{\si@textcelsius}{%
  \si@textdegree\kern-\scriptspace C}
\newcommand*{\si@mathscelsius}{%
  \si@mathsdegree\kern-\scriptspace C}
\si@opt@cmdkeys{textringA,mathsringA}
\si@opt@key{mathringA}{\sisetup{mathsringA=#1}}
\newcommand*{\si@textringA}{\AA}
\newcommand*{\si@mathsringA}{\text{\AA}}
\si@opt@boolkey{redefsymbols}
\AtBeginDocument{
  \si@opt@disablekey{redefsymbols}
    {Symbols can only be redefined\MessageBreak
     when loading siunitx}}
\newlength\si@eVcorra
\newlength\si@eVcorrb
\si@opt@key{eVcorra}{\setlength\si@eVcorra{#1}}
\si@opt@key{eVcorrb}{\setlength\si@eVcorrb{#1}}
\si@opt@xchoicekey{tophrase}{to,dots,ndash,dash}{to}
\si@opt@boolkey{trapambigrange}
\si@opt@cmdkeys{openrange,closerange}
\si@opt@key{locale}{%
  \si@loc@load{#1}%
  \si@loc@set{#1}}%
\si@opt@key{loctolang}{\si@loc@ltol{#1}}
\si@opt@compatkey{units}{ugly}
\si@opt@compatkey{units}{nice}
\si@opt@compatkey{units}{loose}
\si@opt@compatkey{units}{tight}
\si@opt@compatkey{unitsdef}{OHM}
\si@opt@compatkey{unitsdef}{ohm}
\si@opt@compatkey{unitsdef}{redef-gensymb}
\newif\ifsi@gensymb
\si@opt@compatkey{unitsdef}{LITER}
\si@opt@compatkey{unitsdef}{liter}
\si@opt@compatkey{unitsdef}{noxspace}
\si@opt@compatkey{unitsdef}{noconfig}
\si@opt@compatkey{unitsdef}{noabbr}
\si@opt@compatkey{unitsdef}{noampereageabbr}
\si@opt@compatkey{unitsdef}{nofrequncyabbr}
\si@opt@compatkey{unitsdef}{nomolabbr}
\si@opt@compatkey{unitsdef}{novoltageabbr}
\si@opt@compatkey{unitsdef}{novolumeabbr}
\si@opt@compatkey{unitsdef}{noweightabbr}
\si@opt@compatkey{unitsdef}{noenergyabbr}
\si@opt@compatkey{unitsdef}{nolengthabbr}
\si@opt@compatkey{unitsdef}{notimeabbr}
\si@opt@compatkey{SIunits}{cdot}
\si@opt@compatkey{SIunits}{thickspace}
\si@opt@compatkey{SIunits}{mediumspace}
\si@opt@compatkey{SIunits}{thinspace}
\si@opt@compatkey{SIunits}{thickqspace}
\si@opt@compatkey{SIunits}{mediumqspace}
\si@opt@compatkey{SIunits}{thinqspace}
\si@opt@compatkey{SIunits}{amssymb}
\si@opt@compatkey{SIunits}{squaren}
\si@opt@compatkey{SIunits}{pstricks}
\si@opt@compatkey{SIunits}{Gray}
\si@opt@compatkey{SIunits}{italian}
\si@opt@compatkey{SIunits}{textstyle}
\si@opt@compatkey{SIunits}{binary}
\si@opt@compatkey{SIunits}{noams}
\si@opt@compatkey{SIunits}{derivedinbase}
\si@opt@compatkey{SIunits}{derived}
\si@opt@compatkey{hepunits}{noprefixcmds}
\si@opt@compatkey{fancynum}{english}
\si@opt@compatkey{fancynum}{french}
\si@opt@compatkey{fancynum}{tight}
\si@opt@compatkey{fancynum}{loose}
\si@opt@compatkey{fancynum}{thinspaces}
\si@opt@compatkey{fancynum}{commas}
\si@opt@compatkey{fancynum}{plain}
\si@opt@compatkey{fancyunits}{spaceqspace}
\newcommand*{\si@fix@thin}{\,}
\newcommand*{\si@fix@med}{\:}
\newcommand*{\si@fix@medium}{\:}
\newcommand*{\si@fix@thick}{\;}
\newcommand*{\si@fix@space}{\text{ }}
\newcommand*{\si@fix@cdot}{{}\cdot{}}
\newcommand*{\si@fix@comma}{{,}}
\newcommand*{\si@fix@stop}{{.}}
\newcommand*{\si@fix@fullstop}{{.}}
\newcommand*{\si@fix@period}{{.}}
\newcommand*{\si@fix@times}{\times}
\newcommand*{\si@fix@tighttimes}{\bgroup\times\egroup}
\newcommand*{\si@fix@tightcdot}{\bgroup\cdot\egroup}
\newcommand*{\si@fix@plus}{+}
\newcommand*{\si@fix@minus}{-}
\newcommand*{\si@fix@pm}{\pm}
\newcommand*{\si@fix@tightpm}{\bgroup\pm\egroup}
\newcommand*{\si@fix@mp}{\mp}
\newcommand*{\si@fix@two}{2}
\newcommand*{\si@fix@ten}{10}
\newcommand*{\si@fix@slash}{/}
\newcommand*{\si@fix@none}{}
\newcommand*{\si@fix@to}{ to }
\newcommand*{\si@fix@dash}{--}
\newcommand*{\si@fix@dots}{\,\dots\,}
\newcommand*{\si@symbol}[1]{%
  \expandafter\protected\expandafter\def
    \csname si@sym@#1\endcsname{%
    \ifmmode
      \expandafter\csname si@maths#1\expandafter\endcsname
    \else
      \expandafter\csname si@text#1\expandafter\endcsname
    \fi}}
\si@symbol{Omega}
\si@symbol{ringA}
\si@symbol{mu}
\si@symbol{degree}
\si@symbol{minute}
\si@symbol{second}
\si@symbol{celsius}
\AtBeginDocument{%
  \ifsi@redefsymbols
    \@ifpackageloaded{textcomp}
      {\si@log@debug{Redefining symbols using textcomp}%
       \renewcommand*{\si@textdegree}{\textdegree}%
       \renewcommand*{\si@mathsdegree}{\text{\textdegree}}%
       \@ifpackageloaded{mathptmx}{}
         {\renewcommand*{\si@textmu}{\textmu}%
          \renewcommand*{\si@textOmega}{\textohm}}%
       \renewcommand*{\si@tempa}{OT1}%
       \ifx\si@tempa\encodingdefault
         \renewcommand*{\si@mathsringA}{%
           \text{\capitalring{A}}}%
         \renewcommand*{\si@textringA}{\capitalring{A}}
       \fi}{}
    \@ifpackageloaded{upgreek}
      {\si@log@debug{Redefining symbols using upgreek}%
       \renewcommand*{\si@mathsOmega}{\Upomega}}{}
  \fi}
\newcommand*{\si@frc@frac}[2]{%
  \ensuremath{\si@frc@hook\frac{%
    \expandafter\si@unt@out\expandafter{#1}}%
    {\expandafter\si@unt@out\expandafter{#2}}}}
\let\si@frac\si@frc@frac
\newcommand*{\si@frc@hook}{}
\newcommand*{\si@frc@slash}[2]{%
    \expandafter\si@unt@out\expandafter{#1}%
    \si@out{\ensuremath{\si@slash}}%
    \expandafter\si@unt@out\expandafter{#2}}
\newcommand*{\si@frc@nice}[2]{%
  \ensuremath{\si@frc@nicefrac{\expandafter\si@unt@out%
    \expandafter{#1}}{\expandafter\si@unt@out\expandafter
      {#2}}}}
\newcommand*{\si@frc@sfrac}[2]{%
    \sfrac{\expandafter\si@unt@out\expandafter{#1}}%
      {\expandafter\si@unt@out\expandafter{#2}}}
\AtBeginDocument{
  \@ifpackageloaded{xfrac}
    {}
    {\si@log@inf{xfrac package unavailable\MessageBreak
       using `fraction=sfrac' will fall back on\MessageBreak
       nicefrac-like method}%
     \renewcommand*{\si@frc@sfrac}[2]{%
      \si@log@warn{xfrac package unavailable}%
      \si@frc@nice{#1}{#2}}}}
\newlength\si@frc@displen
\newlength\si@frc@textlen
\newlength\si@frc@suplen
\newlength\si@frc@ssuplen
\newcommand*{\si@frc@nicefrac}{%
  \ifmmode
    \expandafter\si@frc@mathsnf
  \else
    \expandafter\si@frc@textnf
  \fi}
\newcommand*{\si@frc@mathsnf}[2]{%
  \begingroup
    \settoheight{\si@frc@displen}{\ensuremath{%
      \displaystyle{M}}}%
    \settoheight{\si@frc@textlen}{\ensuremath{%
      \textstyle{M}}}%
    \settoheight{\si@frc@suplen}{\ensuremath{%
      \scriptstyle{M}}}%
    \settoheight{\si@frc@ssuplen}{%
      \ensuremath{\scriptscriptstyle{M}}}%
    \addtolength{\si@frc@displen}{-\si@frc@ssuplen}%
    \addtolength{\si@frc@textlen}{-\si@frc@ssuplen}%
    \addtolength{\si@frc@suplen}{-\si@frc@ssuplen}%
    \mathchoice
      {\raisebox{\si@frc@displen}{\ensuremath{%
        \scriptstyle{#1}}}}%
      {\raisebox{\si@frc@textlen}{\ensuremath{%
         \scriptstyle{#1}}}}%
      {\raisebox{\si@frc@suplen}%
        {\ensuremath{\scriptscriptstyle{#1}}}}%
      {\raisebox{\si@frc@ssuplen}%
        {\ensuremath{\scriptscriptstyle{#1}}}}%
    \mkern-2mu\relax/\mkern-1mu\relax
    \bgroup
      \mathchoice
        {\scriptstyle}%
        {\scriptstyle}%
        {\scriptscriptstyle}%
        {\scriptscriptstyle}%
      {#2}%
    \egroup
  \endgroup}
\newcommand*{\si@frc@textnf}[2]{%
  \begingroup
    \settoheight{\si@frc@textlen}{M}%
    \settoheight{\si@frc@ssuplen}{\fontsize\sf@size\z@\relax
      \selectfont{M}}%
    \addtolength{\si@frc@textlen}{-\si@frc@ssuplen}%
    \raisebox{\si@frc@textlen}{\fontsize\sf@size\z@\relax
      \selectfont{#1}}%
    \hspace{-0.25ex}/\hspace{-0.25ex}%
    \hbox{\fontsize\sf@size\z@\selectfont{#2}}%
  \endgroup}
\newcommand*{\si@frc@ugly}[1]{%
  \renewcommand*{\si@tempa}{#1}%
  \ifmmode
    \expandafter\si@frc@frac
  \else
    \renewcommand*{\si@tempb}{1}%
    \ifx\si@tempa\si@tempb
      \setbox\si@tempboxa=\hbox{\ensuremath{\si@valuesep}}%
      \hskip-\wd\si@tempboxa\relax
      \renewcommand*{\si@tempa}{}%
    \fi
    \expandafter\si@frc@slash
  \fi
  {\si@tempa}}
\g@addto@macro{\document}{%
  \ifdefined\mathsf
    \setbox\si@tempboxa=\hbox{%
      $\mathsf{\global\chardef\si@fam@sf=\fam}$}%
  \else
    \si@log@inf{\string\mathsf not found}%
    \global\chardef\si@fam@sf=99\relax
  \fi
  \ifdefined\mathtt
    \setbox\si@tempboxa=\hbox{%
      $\mathtt{\global\chardef\si@fam@tt=\fam}$}%
  \else
    \si@log@inf{\string\mathtt not found}%
    \global\chardef\si@fam@tt=99\relax
  \fi}
\newcommand*{\si@fam@ifbtext}[1]{%
  \if b\expandafter\@car\f@series\@nil
    #1\fi}
\newcommand*{\si@fam@ifbmaths}[1]{%
  \renewcommand*{\si@tempa}{bold}%
  \ifx\math@version\si@tempa
    #1\fi}
\newcommand*{\si@fam@ifbinline}{%
  \ifsi@inlinebtext
    \expandafter\si@fam@ifbtext
  \else
    \expandafter\si@fam@ifbmaths
  \fi}
\newcommand*{\si@fam@ifitext}[1]{%
  \if n\expandafter\@car\f@series\@nil\else
    #1\fi}
\newcommand*{\si@fam@mode}{%
  \ifsi@obeymode
    \ifmmode
      \sisetup{mode=maths}%
    \else
      \sisetup{mode=text}%
    \fi
  \fi}
\AtBeginDocument{
  \@ifpackageloaded{color}
    {\let\si@fam@colourcmd\color}
    {\let\si@fam@colourcmd\@gobble}}
\newif\ifsi@fam@set
\newif\ifsi@textmode
\newcommand*{\si@fam@set}{%
  \ifsi@out@num
    \ifsi@numtextmode
      \expandafter\expandafter\expandafter\si@textmodetrue
    \else
      \expandafter\expandafter\expandafter\si@textmodefalse
    \fi
  \else
    \ifsi@unittextmode
      \expandafter\expandafter\expandafter\si@textmodetrue
    \else
      \expandafter\expandafter\expandafter\si@textmodefalse
    \fi
  \fi
  \ifsi@fam@set\else
    \let\si@colourcmd\@gobble
    \ifsi@out@num
      \let\si@mathsrm\si@valuemathsrm
      \let\si@mathssf\si@valuemathssf
      \let\si@mathstt\si@valuemathstt
      \let\si@textrm\si@valuetextrm
      \let\si@textsf\si@valuetextsf
      \let\si@texttt\si@valuetexttt
      \ifsi@colourvalues
        \let\si@colourcmd\si@fam@colourcmd
      \fi
      \let\si@colour\si@valuecolour
    \else
      \let\si@mathsrm\si@unitmathsrm
      \let\si@mathssf\si@unitmathssf
      \let\si@mathstt\si@unitmathstt
      \let\si@textrm\si@unittextrm
      \let\si@textsf\si@unittextsf
      \let\si@texttt\si@unittexttt
      \ifsi@colourunits
        \let\si@colourcmd\si@fam@colourcmd
      \fi
      \let\si@colour\si@unitcolour
    \fi
  \fi
  \si@fam@settrue
  \edef\si@tempa{\sfdefault}%
  \edef\si@tempb{\ttdefault}%
  \expandafter\let\expandafter\si@fam@maths
    \csname\si@mathsrm\endcsname
  \expandafter\let\expandafter\si@fam@text
    \csname\si@textrm\endcsname
  \ifsi@obeyfamily
    \si@log@debug{Font detection: checking font}%
    \ifmmode
      \ifinner
        \si@log@debug{Font detection: inline maths}%
        \si@fam@dettext
      \else
        \si@log@debug{Font detection: display maths}%
        \ifsi@detectdisplay
          \si@fam@detmaths
        \else
          \si@fam@dettext
        \fi
      \fi
    \else
      \si@log@debug{Font detection: text}%
      \si@fam@dettext
    \fi
  \else
    \si@log@debug{Font detection: inactive}%
  \fi
  \def\si@fam@bold{\unboldmath\mdseries}%
  \ifsi@obeybold
    \si@log@debug{Weight detection: checking weight}%
    \ifmmode
      \ifdim\displaywidth>0pt\relax
        \ifsi@detectdisplay
          \expandafter\si@fam@ifbmaths
        \else
          \expandafter\si@fam@ifbtext
        \fi
        \si@fam@setbold
      \else
        \si@fam@ifbinline\si@fam@setbold
      \fi
    \else
      \si@fam@ifbtext\si@fam@setbold
    \fi
  \fi
  \let\si@fam@italic\upshape
  \ifsi@obeyitalic
    \si@log@debug{Italic detection: checking italic}%
    \si@fam@ifitext
      {\let\si@fam@italic\relax
       \si@log@debug{Italic detection: italic}}%
  \fi}
\newcommand*{\si@fam@detmaths}{%
  \ifnum\the\fam=\si@fam@sf
    \si@log@debug{Font detection: sf}%
    \expandafter\let\expandafter\si@fam@maths
      \csname\si@mathssf\endcsname
    \expandafter\let\expandafter\si@fam@text
      \csname\si@textsf\endcsname
  \else
    \ifnum\the\fam=\si@fam@tt
      \si@log@debug{Font detection: tt}%
      \expandafter\let\expandafter\si@fam@maths
        \csname\si@mathstt\endcsname
      \expandafter\let\expandafter\si@fam@text
        \csname\si@texttt\endcsname
    \else
      \si@log@debug{Font detection: rm}%
      \expandafter\let\expandafter\si@fam@maths
        \csname\si@mathsrm\endcsname
      \expandafter\let\expandafter\si@fam@text
        \csname\si@textrm\endcsname
    \fi
  \fi}
\newcommand*{\si@fam@dettext}{%
  \ifx\f@family\si@tempa
    \si@log@debug{Font detection: sf}%
    \expandafter\let\expandafter\si@fam@maths
      \csname\si@mathssf\endcsname
    \expandafter\let\expandafter\si@fam@text
      \csname\si@textsf\endcsname
  \else
    \ifx\f@family\si@tempb
      \si@log@debug{Font detection: tt}%
      \expandafter\let\expandafter\si@fam@maths
        \csname\si@mathstt\endcsname
      \expandafter\let\expandafter\si@fam@text
        \csname\si@texttt\endcsname
    \else
      \si@log@debug{Font detection: rm}%
      \expandafter\let\expandafter\si@fam@maths
        \csname\si@mathsrm\endcsname
      \expandafter\let\expandafter\si@fam@text
        \csname\si@textrm\endcsname
    \fi
  \fi}
\newcommand*{\si@fam@setbold}{%
  \si@log@debug{Weight detection: bold weight}%
  \let\si@fam@bold\si@fam@boldify}
\newcommand*{\si@fam@boldify}{\boldmath\bfseries}
\si@newrobustcmd*{\num}[2][]{%
  \begingroup
    \sisetup{#1}%
    \si@fam@mode
    \si@num@intabfalse
    \si@log@debug{Processing \string\num\space input `#2'}%
    \expandafter\si@out@num\expandafter{\si@num{#2}}%
  \endgroup}
\newif\ifsi@num@intab
\newcommand*{\si@num}[1]{%
  \si@num@fixpm
  \begingroup
    \makeatletter
    \@makeother{\,}%
    \@makeother{\.}%
    \@makeother{\+}%
    \@makeother{\-}%
    \def~{}%
    \def\,{}%
    \catcode`\~=\active\relax
    \catcode`\^=\active\relax
    \catcode`\_=\active\relax
    \everyeof{\noexpand}%
    \endlinechar\m@ne
    \protected@xdef\si@tempa{\scantokens{#1}}%
  \endgroup
  \si@ifnotmtarg{\si@tempa}
    {\si@num@ifvalid{\si@tempa}
      {\si@num@format{\si@tempa}}
      {\si@log@err{Invalid character `#1' in numerical input}%
         {Only characters from the list
          `\si@numvalid'\MessageBreak should be present in the
          argument of the \string\num\space  macro\MessageBreak
         (or derivative such as an `s' column)}%
       {#1}}}}
\newcommand*{\si@num@fixpm}{%
  \let\si@num@pm\pm
  \let\si@num@mp\mp
  \protected\def\pm{\si@num@pm}%
  \protected\def\mp{\si@num@mp}}
\newcommand*{\si@num@ifvalid}[1]{%
  \begingroup
    \si@switchtrue
    \expandafter\si@num@valid#1\@empty\@empty
    \ifsi@switch
      \aftergroup\@firstoftwo
    \else
      \aftergroup\@secondoftwo
    \fi
  \endgroup}
\def\si@num@valid#1#2\@empty{%
  \si@str@ifchrstr{#1}{\si@numvalid}
    {\ifx\@empty#2\@empty\else
       \si@num@valid#2\@empty\@empty\@empty
     \fi}
    {\si@switchfalse}}
\newcommand*{\si@num@in}{}
\newcommand*{\si@num@out}{}
\newcommand*{\si@num@exp}{}
\newcommand*{\si@num@expsign}{}
\newcommand*{\si@num@mant}{}
\newcommand*{\si@num@mantsign}{}
\newcommand*{\si@num@err}{}
\newcommand*{\si@num@xpart}{}
\newcommand*{\si@num@ambig}{}
\newcommand*{\si@tab@out}{}
\newcommand*{\si@tab@expout}{}
\newif\ifsi@num@erropen
\newcommand*{\si@num@arg}{}
\newcommand*{\si@num@format}[1]{%
  \protected@edef\si@num@arg{#1}%
  \si@log@debug{Formatting number `\si@num@arg'}%
  \renewcommand*{\si@num@in}{}%
  \renewcommand*{\si@num@exp}{}%
  \renewcommand*{\si@num@expsign}{}%
  \renewcommand*{\si@num@mant}{}%
  \renewcommand*{\si@num@mantsign}{}%
  \renewcommand*{\si@num@err}{}%
  \renewcommand*{\si@num@xpart}{}%
  \si@switchfalse
  \expandafter\si@num@findxpart\si@num@arg\@empty\@empty
  \si@switchfalse
  \si@num@sepmantexp{\si@num@in}%
  \si@num@sepsign{exp}%
  \si@num@sepsign{mant}%
  \ifx\@empty\si@num@exp\@empty
    \ifx\@empty\si@num@expsign\@empty\else
      \si@log@warn{Sign but no number for `\si@num@arg'}%
    \fi
    \let\si@num@expsign\@empty
  \fi
  \ifx\@empty\si@num@mant\@empty
    \ifx\@empty\si@num@mantsign\@empty\else
      \ifx\@empty\si@num@exp\@empty
        \si@log@warn{Sign but no number for `\si@num@arg'}%
        \let\si@num@mantsign\@empty
      \fi
    \fi
  \fi
  \renewcommand*{\si@tempa}{{-}}%
  \ifx\si@num@mantsign\si@tempa
    \ifsi@colourneg
      \expandafter\expandafter\expandafter\si@fam@colourcmd
    \else
      \expandafter\expandafter\expandafter\@gobble
    \fi
  \else
    \expandafter\@gobble
  \fi
  {\si@negcolour}%
  \si@num@procnum{exp}%
  \si@num@procnum{mant}%
  \si@str@ifonlychrs{\si@num@exp}{0\si@numdecimal}
    {\ifsi@allowzeroexp\else
       \renewcommand*{\si@num@exp}{}%
       \ifx\@empty\si@num@mant\@empty
         \renewcommand*{\si@num@mant}{1}%
       \fi
     \fi}{}%
  \ifx\@empty\si@num@exp\@empty\else
    \ifsi@trapambigerr
      \expandafter\expandafter\expandafter\si@num@ambigerrtrue
    \fi
  \fi
  \protected@edef\si@num@out{%
    \ensuremath{{\si@num@mantsign}}\si@num@mant}%
  \renewcommand*{\si@tempa}{num}%
  \ifsi@num@intab
    \protected@edef\si@tab@out{%
      \ensuremath{{\si@num@mantsign}}\si@num@predec}%
    \protected@edef\si@num@out{\si@num@postdec}%
    \renewcommand*{\si@tempa}{tab}%
  \fi
  \ifx\@empty\si@num@postdec\@empty\else
    \renewcommand*{\si@tempa}{num}%
  \fi
  \ifx\@empty\si@num@err\@empty\else
    \ifsi@seperr
      \ifsi@num@ambigerr
        \protected@edef\si@num@out{%
          \ensuremath{\si@openerr}\si@num@out}%
        \si@repeatunitsfalse
        \expandafter\si@num@erropentrue
      \else
        \ifsi@trapambigerr\else
          \ifx\@empty\si@num@exp\@empty\else
            \protected@edef\si@num@err{%
              \si@num@err\expandafter\@car\si@numexp\@nil
              \si@num@expsign\si@num@exp}%
            \ifsi@repeatunits\else
              \renewcommand*{\si@num@exp}{}%
              \renewcommand*{\si@num@expsign}{}%
            \fi
          \fi
        \fi
      \fi
    \else
      \expandafter\protected@edef\csname
        si@\si@tempa @out\endcsname{%
          \si@num@out\ensuremath{\si@errspace}\ensuremath
          {\si@openerr}\si@num@err\ensuremath{\si@closeerr}}%
      \renewcommand*{\si@num@err}{}%
    \fi
  \fi
  \renewcommand*{\si@tempa}{num@out}%
  \ifsi@num@erropen
    \renewcommand*{\si@tempa}{num@ambig}%
  \fi
  \ifsi@num@intab
    \renewcommand*{\si@tempa}{tab@expout}%
  \fi
  \ifx\@empty\si@num@exp\@empty
    \ifx\@empty\si@num@mant\@empty
      \si@log@err{Invalid number format `\si@num@arg'}
        {Something is wrong with the number format; does it
         contain \MessageBreak any numbers (from the list
         `\si@numdigits')?}%
      \renewcommand*\si@num@out{}%
    \fi
  \else
    \ifx\@empty\si@num@mant\@empty\else
      \expandafter\protected@edef\csname
        si@\si@tempa\endcsname{%
          \csname si@\si@tempa\endcsname\ensuremath{{}%
          \si@expproduct{}}}%
    \fi
    \expandafter\protected@edef\csname
      si@\si@tempa\endcsname{%
        \csname si@\si@tempa\endcsname\si@expbase
        \textsuperscript{\ensuremath{\si@num@expsign}%
        \si@num@exp}}%
  \fi
  \ifsi@num@intab\else
    \expandafter\si@num@out
  \fi
  \ifx\@empty\si@num@err\@empty\else
    \expandafter\si@num@procerr
  \fi
  \ifsi@num@erropen
    \expandafter\si@out@num\expandafter{%
      \ensuremath{\si@closeerr}}%
      \ifx\@empty\si@num@ambig\@empty\else
        \si@out@num{\si@num@ambig}%
        \renewcommand*{\si@num@ambig}{}%
    \fi
  \fi
  \si@num@erropenfalse
  \ifx\@empty\si@num@xpart\@empty\else
    \expandafter\si@num@sepxpart
  \fi}
\def\si@num@findxpart#1#2\@empty{%
  \si@str@ifchrstr{#1}{\si@numprod}
    {\si@switchtrue\si@seperrfalse}{}%
  \ifsi@switch
    \protected@edef\si@num@xpart{\si@num@xpart#1}%
  \else
    \protected@edef\si@num@in{\si@num@in#1}%
  \fi
  \ifx\@empty#2\@empty\else
    \si@num@findxpart#2\@empty
  \fi}
\newcommand*{\si@num@sepmantexp}[1]{%
  \expandafter\si@num@mantexp#1\@empty\@empty}
\def\si@num@mantexp#1#2\@empty{%
  \si@str@ifchrstr{#1}{\si@numgobble}
    {\si@log@debug{Gobbling `#1' in \si@num@arg}}
    {\si@str@ifchrstr{#1}{\si@numexp}
       {\ifsi@switch
          \si@log@err{Duplicate exponent marker found}
            {Only a single exponent character \MessageBreak
            (from the list `\si@numexp')\MessageBreak may
            occur in a numerical argument}%
        \else
          \si@log@debug{Exponent marker `#1' found in
            `\si@num@arg'}%
        \fi
        \si@switchtrue}%
       {\ifsi@switch
          \expandafter\si@num@addexp
        \else
          \expandafter\si@num@addmnt
        \fi
        {#1}}}%
  \ifx\@empty#2\@empty
    \expandafter\@gobble
  \else
    \expandafter\si@num@sepmantexp
  \fi
  {#2}}
\newcommand*{\si@num@addmnt}[1]{%
  \si@num@addmntexp{#1}{mant}{mantissa}}
\newcommand*{\si@num@addexp}[1]{%
  \si@num@addmntexp{#1}{exp}{exponent}}
\newcommand*{\si@num@addmntexp}[3]{%
  \si@log@debug{Adding `#1' to #3 for `\si@num@arg'}%
  \expandafter\protected@edef\csname si@num@#2\endcsname{%
    \csname si@num@#2\endcsname#1}}
\newcommand*{\si@num@sepsign}[1]{%
  \expandafter\ifx\expandafter\@empty
    \csname si@num@#1\endcsname\@empty
    \expandafter\@gobble
  \else
    \expandafter\si@num@gensign
  \fi
  {#1}}
\newcommand*{\si@num@gensign}[1]{%
  \expandafter\expandafter\expandafter\si@num@findsign
    \csname si@num@#1\endcsname\@empty\@empty
  \ifx\@empty\si@num@sign\@empty
    \ifx\@empty\si@num@value\@empty
      \expandafter\expandafter\expandafter\@gobble
    \else
      \expandafter\expandafter\expandafter\si@num@addsign
    \fi
  \else
    \expandafter\@gobble
  \fi
  {#1}%
  \expandafter\let\csname si@num@#1sign\endcsname\si@num@sign
  \expandafter\let\csname si@num@#1\endcsname\si@num@value}
\newcommand*{\si@num@sign}{}
\def\si@num@findsign#1#2#3\@empty{%
  \si@num@delplusfalse
  \si@str@ifchrstr{#1}{\si@numsign}{%
    \si@str@ifchrstr{#2}{\si@numsign}{%
      \if +#1%
        \if -#2%
          \si@log@debug{Found sign combination +- for
            `\si@num@arg'}%
          \renewcommand*{\si@num@sign}{{\si@pm}}%
        \else
          \si@log@inf{Unknown sign combination `#1#2'}%
          \renewcommand*{\si@num@sign}{{#1#2}}%
        \fi
      \else
        \if -#1%
          \if +#2%
            \si@log@debug{Found sign combination -+ for
              `\si@num@arg'}%
            \renewcommand*{\si@num@sign}{{\mp}}%
          \else
            \si@log@inf{Unknown sign combination `#1#2'}%
            \renewcommand*{\si@num@sign}{{#1#2}}%
          \fi
        \else
          \si@log@inf{Unknown sign combination `#1#2'}%
          \renewcommand*{\si@num@sign}{{#1#2}}%
        \fi
      \fi
      \protected@edef\si@num@value{#3}}%
      {\si@log@debug{Found single sign character `#1' for
         `\si@num@arg'}%
       \renewcommand*{\si@num@sign}{{#1}}%
       \if +#1%
         \ifsi@retainplus\else
           \expandafter\expandafter\expandafter\si@num@killsign
         \fi
       \fi
       \protected@edef\si@num@value{#2#3}}}%
    {\si@log@debug{No sign found for `\si@num@arg'}%
     \renewcommand*{\si@num@sign}{}%
     \protected@edef\si@num@value{#1#2#3}}}
\newif\ifsi@num@delplus
\newcommand*{\si@num@killsign}{%
  \si@num@delplustrue
  \renewcommand*{\si@num@sign}{}}
\newcommand*{\si@num@addsign}[1]{%
  \begingroup
    \renewcommand*{\si@tempa}{#1}%
    \renewcommand*{\si@tempb}{mant}%
    \ifx\si@tempa\si@tempb
      \aftergroup\@firstoftwo
    \else
      \aftergroup\@secondoftwo
    \fi
  \endgroup
  {\ifsi@num@signmant
     \expandafter\si@num@asign
   \else
     \expandafter\@gobble
   \fi
   {mantissa}}
  {\ifsi@num@signexp
     \expandafter\si@num@asign
   \else
     \expandafter\@gobble
   \fi
   {exponent}}}
\newcommand*{\si@num@asign}[1]{%
  \let\si@num@sign\si@sign
  \si@log@debug{Adding sign \si@sign\space to #1 for
    `\si@num@arg'}}
\newcommand*{\si@num@procnum}[1]{%
  \expandafter\ifx\expandafter\@empty
    \csname si@num@#1\endcsname\@empty
    \expandafter\@gobble
  \else
    \expandafter\si@num@finddigits
  \fi
  {#1}}
\newcommand*{\si@num@predec}{}
\newcommand*{\si@num@postdec}{}
\newcommand*{\si@num@finddigits}[1]{%
  \renewcommand*{\si@num@predec}{}%
  \renewcommand*{\si@num@postdec}{}%
  \si@switchfalse
  \expandafter\expandafter\expandafter\si@num@digits
    \csname si@num@#1\endcsname\@empty\@empty
  \ifx\@empty\si@num@predec\@empty
    \ifsi@num@padlead
      \expandafter\expandafter\expandafter\si@num@addprezero
    \fi
  \fi
  \ifx\@empty\si@num@postdec\@empty
    \ifsi@num@padtrail
      \ifsi@switch
        \expandafter\expandafter\expandafter\expandafter
          \expandafter\expandafter\expandafter
          \si@num@addpostzero
      \fi
    \fi
  \fi
  \si@num@unsign{#1}%
  \ifx\@empty\si@num@predec\@empty
  \else
    \expandafter\si@num@nozero
  \fi
  \ifx\@empty\si@num@predec\@empty
    \ifx\@empty\si@num@postdec\@empty
      \expandafter\expandafter\expandafter\@gobble
    \else
      \expandafter\expandafter\expandafter\si@num@sepdigits
    \fi
  \else
    \expandafter\si@num@sepdigits
  \fi
  {#1}}
\def\si@num@digits#1#2\@empty{%
  \si@str@ifchrstr{#1}{\si@numdecimal}
    {\ifsi@switch
       \si@log@err{Duplicate decimal marker in `\si@num@arg'}
         {Only a single decimal marker (from the list
            `\si@numdecimal')\MessageBreak may occur in a
            numerical argument}%
     \else
       \si@log@debug{Found decimal marker `#1' in
         `\si@num@arg'}%
       \expandafter\si@switchtrue
     \fi}
    {\si@str@ifchrstr{#1}{\si@numsign}
       {\si@log@err{Misplaced sign character
          `#1' in `\si@num@arg'}
          {Sign characters `\si@numsign' can only
            occur\MessageBreak at the start of a number}}
       {\ifsi@switch
          \expandafter\si@num@post
        \else
          \expandafter\si@num@pre
        \fi
        {#1}}}%
  \ifx\@empty#2\@empty\else
    \si@num@digits#2\@empty\@empty
  \fi}
\newcommand*{\si@num@pre}[1]{%
  \si@num@prepost{#1}{pre}{integer}}
\newcommand*{\si@num@post}[1]{%
  \si@num@prepost{#1}{post}{decimal}}
\newcommand*{\si@num@prepost}[3]{%
  \expandafter\protected@edef\csname si@num@#2dec\endcsname{%
    \csname si@num@#2dec\endcsname#1}%
  \si@log@debug{Adding `#1' to #3 part for `\si@num@arg'}}
\newcommand*{\si@num@addprezero}{%
  \si@num@addpzero{pre}{leading}}
\newcommand*{\si@num@addpostzero}{%
  \si@num@addpzero{post}{trailing}}
\newcommand*{\si@num@addpzero}[2]{%
  \si@log@debug{Adding #2 zero for `\si@num@arg'}%
  \@namedef{si@num@#1dec}{0}}
\newcommand*{\si@num@unsign}[1]{%
  \expandafter\ifx\expandafter\@empty
    \csname si@num@#1sign\endcsname\@empty
    \expandafter\@gobble
  \else
    \expandafter\si@num@nosign
  \fi
  {#1}}
\newcommand*{\si@num@nosign}[1]{%
  \begingroup
    \si@switchtrue
    \si@str@ifonlychrs{\si@num@predec\si@num@postdec}{0}
      {\si@switchfalse}{}%
    \ifsi@switch
      \aftergroup\@gobble
    \else
      \aftergroup\@firstofone
    \fi
  \endgroup
  {\si@log@debug{Zero value: removing any sign}%
   \ifsi@ang@sign\else
     \@namedef{si@num@#1sign}{}%
   \fi}}
\newcommand*{\si@num@nozero}{%
  \si@str@ifonlychrs{\si@num@predec}{0}
    {\renewcommand*{\si@num@predec}{0}}{}}
\newcommand*{\si@num@decimalhook}{}
\newcommand*{\si@num@sepdigits}[1]{%
  \begingroup
    \let\si@numextra\si@numaddn
    \protected@edef\si@tempa{\si@num@predec\si@num@postdec}%
    \si@num@ifextra{\si@tempa}
      {\aftergroup\@gobble}
      {\aftergroup\@firstofone}%
  \endgroup
  {\renewcommand*{\si@tempb}{mant}%
   \renewcommand*{\si@tempc}{#1}%
   \ifx\si@tempb\si@tempc
     \expandafter\si@num@checkerr
   \fi}%
  \protected@edef\si@tempa{\si@num@predec\si@num@postdec}%
  \expandafter\si@str@ifonlychrs\expandafter{\si@tempa}
    {0123456789}
    {\ifx\@empty\si@num@err\@empty
       \renewcommand*{\si@tempb}{mant}%
       \renewcommand*{\si@tempc}{#1}%
       \ifx\si@tempb\si@tempc
         \expandafter\expandafter\expandafter\si@num@fixlength
       \fi
     \fi}{}%
  \si@num@ifextra{\si@num@predec}{}
    {\expandafter\si@num@int\expandafter{\si@num@predec}}%
  \renewcommand*{\si@tempc}{}%
  \ifx\@empty\si@num@postdec\@empty\else
    \si@num@decimalhook
    \renewcommand*{\si@tempc}{%
      \ensuremath{{\si@decimalsymbol}}}%
    \si@num@ifextra{\si@num@postdec}{}
      {\expandafter\si@num@dec\expandafter{\si@num@postdec}}%
  \fi
  \expandafter\protected@edef\csname si@num@#1\endcsname
    {\si@num@predec\si@tempc\si@num@postdec}}
\newcommand*{\si@num@ifextra}[1]{%
  \begingroup
    \si@switchfalse
    \expandafter\si@num@extra#1\@empty\@empty
    \ifsi@switch
      \si@log@debug{Found `extra' characters in `#1'}%
      \aftergroup\@firstoftwo
    \else
      \aftergroup\@secondoftwo
    \fi
  \endgroup}
\def\si@num@extra#1#2\@empty{%
  \ifx\@empty#1\@empty\else
    \si@str@ifchrstr{#1}{\si@numextra}{\si@switchtrue}{}%
    \ifx\@empty#2\@empty\else
      \si@num@extra#2\@empty\@empty
    \fi
  \fi}
\newif\ifsi@num@ambigerr
\newcommand*{\si@num@checkerr}{%
  \ifx\@empty\si@num@postdec\@empty
    \expandafter\si@num@preerr
  \else
    \expandafter\si@num@posterr
  \fi}
\newcommand*{\si@num@preerr}{%
  \si@num@seperr{pre}%
  \ifx\@empty\si@tempb\@empty\else
    \expandafter\renewcommand\expandafter*\expandafter
      \si@num@err\expandafter{\si@tempb}%
  \fi}
\newcommand*{\si@num@posterr}{%
  \si@num@seperr{post}%
  \ifx\@empty\si@tempb\@empty\else
    \ifsi@seperr
      \expandafter\expandafter\expandafter\si@num@psterr
    \else
      \let\si@num@err\si@tempb
    \fi
  \fi}
\newcommand*{\si@num@psterr}{%
    \si@num@cntdigits{\si@tempb}%
    \si@tempcntb\si@tempcnta\relax
    \si@num@cntdigits{\si@num@postdec}%
    \ifnum\si@tempcnta<\si@tempcntb\relax
      \expandafter\si@num@largeerr
    \else
      \expandafter\si@num@smallerr
    \fi}
\newcommand*{\si@num@seperr}[1]{%
  \si@switchfalse
  \renewcommand*{\si@tempa}{}%
  \renewcommand*{\si@tempb}{}%
  \expandafter\expandafter\expandafter\si@num@finderr
    \csname si@num@#1dec\endcsname\@empty\@empty
  \ifx\@empty\si@tempb\@empty\else
    \expandafter\let\csname si@num@#1dec\endcsname\si@tempa
  \fi}
\def\si@num@finderr#1#2\@empty{%
  \si@str@ifchrstr{#1}{\si@numopenerr}
    {\ifsi@switch
       \si@log@err{Invalid error in number}
         {The numerical argument \si@num@arg\space has two (or
           more)\MessageBreak error-opening characters}%
     \else
       \expandafter\si@switchtrue
     \fi}
    {\si@str@ifchrstr{#1}{\si@numcloseerr}
       {\ifsi@switch
          \ifx\@empty#2\@empty\else
            \si@log@err{Invalid error in number}
              {The numerical argument \si@num@arg\space has an
              error-closing before the last character}%
          \fi
        \else
          \si@log@err{Invalid error in number}
           {The numerical argument \si@num@arg\space has an
              error-closing character\MessageBreak but no
              error-opening one}%
        \fi}
       {\ifsi@switch
          \expandafter\si@num@addtmpb
        \else
          \expandafter\si@num@addtmpa
        \fi
        {#1}}}%
  \ifx\@empty#2\@empty\else
    \si@num@finderr#2\@empty
  \fi}
\newcommand*{\si@num@addtmpa}[1]{\si@num@addtmp{a}{#1}}
\newcommand*{\si@num@addtmpb}[1]{\si@num@addtmp{b}{#1}}
\newcommand*{\si@num@addtmp}[2]{%
  \expandafter\protected@edef\csname si@temp#1\endcsname{%
    \csname si@temp#1\endcsname#2}}
\newcommand*{\si@num@cntdigits}[1]{%
  \si@tempcnta\z@\relax
  \expandafter\si@num@cntdgt#1\@empty\@empty}
\def\si@num@cntdgt#1#2\@empty{%
  \ifx\@empty#1\@empty\else
    \advance\si@tempcnta\@ne\relax
  \fi
  \ifx\@empty#2\@empty\else
    \expandafter\si@num@cntdgt#2\@empty
  \fi}
\newcommand*{\si@num@smallerr}{%
  \si@tempcntb\si@tempcnta\relax
  \si@num@serr
  \protected@edef\si@num@err{%
    \ifsi@num@padlead0\fi\expandafter\@car\si@numdecimal\@nil
    \si@tempb}}
\newcommand*{\si@num@serr}{%
  \si@num@cntdigits{\si@tempb}%
  \ifnum\si@tempcnta=\si@tempcntb\relax\else
    \protected@edef\si@tempb{0\si@tempb}%
    \expandafter\si@num@serr
  \fi}
\newcommand*{\si@num@largeerr}{%
  \renewcommand*{\si@tempa}{}%
  \si@tempcntb\si@tempcnta\relax
  \si@num@lerr
  \protected@edef\si@num@err{%
    \si@tempa\expandafter\@car\si@numdecimal\@nil\si@tempb}}
\newcommand*{\si@num@lerr}{%
  \si@num@cntdigits{\si@tempb}%
  \ifnum\si@tempcnta=\si@tempcntb\relax\else
    \expandafter\si@num@movedigit\si@tempb\@empty\@empty
    \si@num@lerr
  \fi}
\def\si@num@movedigit#1#2\@empty{%
  \protected@edef\si@tempa{\si@tempa#1}%
  \protected@edef\si@tempb{#2}}
\newcommand*{\si@num@fixlength}{%
  \ifsi@fixdp
    \expandafter\si@num@fixdp
  \else
    \ifsi@fixsf
      \expandafter\expandafter\expandafter\si@num@fixsf
    \fi
  \fi}
\newcommand*{\si@num@fixdp}{%
  \si@num@cntdigits{\si@num@postdec}%
  \ifx\@empty\si@num@postdec\@empty
    \si@tempcnta\z@\relax
  \fi
  \ifnum\si@tempcnta>\si@num@dp\relax
    \expandafter\si@num@round
  \else
    \ifnum\si@tempcnta<\si@num@dp\relax
      \expandafter\expandafter\expandafter\si@num@pad
    \fi
  \fi}
\newcommand*{\si@num@pad}{%
  \si@log@debug{Padding to \the\si@num@dp\space digits}%
  \loop\ifnum\si@tempcnta<\si@num@dp\si@num@pd\repeat}
\newcommand*{\si@num@pd}{%
  \advance\si@tempcnta\@ne\relax
  \protected@edef\si@num@postdec{\si@num@postdec0}}
\newcount\si@num@rndtarget
\newcommand*{\si@num@prernd}{}
\newcommand*{\si@num@postrnd}{}
\newcommand*{\si@num@round}{%
  \si@log@debug{Rounding to \the\si@num@dp\space digits}%
  \si@num@rndtarget\si@num@dp\relax
  \si@num@rndstart}
\newcommand*{\si@num@rndstart}{%
  \si@num@reverse{\si@num@postdec}%
  \si@num@reverse{\si@num@predec}%
  \let\si@num@prernd\si@num@predec
  \let\si@num@postrnd\si@num@postdec
  \renewcommand*{\si@num@predec}{}%
  \renewcommand*{\si@num@postdec}{}%
  \si@switchfalse
  \si@num@rnd}
\newcommand*{\si@num@reverse}[1]{%
  \renewcommand*{\si@tempa}{}%
  \expandafter\si@num@rev#1\@empty\@empty
  \let#1\si@tempa}
\def\si@num@rev#1#2\@empty{%
  \edef\si@tempa{#1\si@tempa}%
  \ifx\@empty#2\@empty\else
    \si@num@rev#2\@empty\@empty
  \fi}
\newcommand*{\si@num@rnd}{%
  \ifx\@empty\si@num@postrnd\@empty
    \expandafter\si@num@rndpre
  \else
    \expandafter\si@num@rndpost
  \fi}
\newcommand*{\si@num@rndpre}{%
  \expandafter\edef\expandafter\si@tempa\expandafter{%
    \expandafter\@car\si@num@prernd\@nil}%
  \expandafter\edef\expandafter\si@num@prernd\expandafter{%
    \expandafter\@cdr\si@num@prernd\@nil}%
  \si@tempcntb\si@tempa\relax
  \ifsi@switch
    \advance\si@tempcntb\@ne\relax
  \fi
  \si@switchfalse
  \ifnum\si@tempcntb=10\relax
    \si@tempcntb\z@\relax
    \expandafter\expandafter\expandafter\si@switchtrue
  \fi
  \edef\si@num@predec{\the\si@tempcntb\si@num@predec}%
  \ifx\@empty\si@num@prernd\@empty
    \ifsi@switch
      \edef\si@num@predec{1\si@num@predec}%
    \fi
  \else
    \expandafter\si@num@rnd
  \fi}
\newcommand*{\si@num@rndpost}{%
  \expandafter\edef\expandafter\si@tempa\expandafter{%
    \expandafter\@car\si@num@postrnd\@nil}%
  \expandafter\edef\expandafter\si@num@postrnd\expandafter{%
    \expandafter\@cdr\si@num@postrnd\@nil}%
  \si@tempcntb\si@tempa\relax
  \ifsi@switch
    \advance\si@tempcntb\@ne\relax
  \fi
  \si@switchfalse
  \advance\si@num@rndtarget\@ne\relax
  \ifnum\si@tempcnta>\si@num@rndtarget\relax
    \advance\si@num@rndtarget\m@ne\relax
  \else
    \advance\si@num@rndtarget\m@ne\relax
    \ifnum\si@tempcnta>\si@num@rndtarget\relax
      \ifnum\si@tempcntb>4\relax
        \expandafter\expandafter\expandafter\si@switchtrue
      \fi
    \else
      \ifnum\si@tempcntb=10\relax
        \si@tempcntb\z@\relax
        \expandafter\expandafter\expandafter\si@switchtrue
      \fi
      \edef\si@num@postdec{\the\si@tempcntb\si@num@postdec}%
    \fi
  \fi
  \advance\si@tempcnta\m@ne\relax
  \ifnum\si@tempcnta=\m@ne\relax
    \si@num@throw
  \fi
  \si@num@rnd}
\newcommand*{\si@num@throw}{%
  \si@num@reverse{\si@num@postdec}%
  \edef\si@num@postdec{\expandafter\@cdr\si@num@postdec\@nil}%
  \si@num@reverse{\si@num@postdec}}
\newcommand*{\si@num@fixsf}{%
  \si@num@cntdigits{\si@num@predec}%
  \ifx\@empty\si@num@predec\@empty
    \si@tempcnta\z@\relax
  \fi
  \ifnum\si@tempcnta=\@ne\relax
    \renewcommand*{\si@tempa}{0}%
    \ifx\si@num@predec\si@tempa
      \ifx\@empty\si@num@postdec\@empty\else
        \si@tempcnta\z@\relax
        \si@switchfalse
        \expandafter\si@num@cntpostsf\si@num@postdec
          \@empty\@empty
        \ifnum\si@tempcnta>\si@num@sf\relax
          \si@log@debug{Rounding to \the\si@num@sf\space
            figures}%
          \si@num@rndtarget\si@num@sf\relax
          \si@num@rndstart
        \fi
      \fi
    \else
      \si@num@cntprepost
    \fi
  \else
    \ifnum\si@tempcnta<\si@num@sf\relax
      \si@num@cntprepost
    \else
      \advance\si@tempcnta\m@ne\relax
      \si@switchfalse
      \ifnum\si@tempcnta>\si@num@sf\relax\else
        \ifx\@empty\si@num@postdec\@empty\else
          \edef\si@num@postdec{\expandafter\@car
            \si@num@postdec\@nil}%
          \ifnum\si@num@postdec>4\relax
            \expandafter\si@switchtrue
          \fi
        \fi
      \fi
      \advance\si@tempcnta\@ne\relax
      \renewcommand*{\si@num@postdec}{}%
      \si@num@reverse{\si@num@predec}%
      \let\si@num@prernd\si@num@predec
      \renewcommand*{\si@num@predec}{}%
      \si@num@sfpre
      \ifsi@switch
        \edef\si@num@predec{1\si@num@predec}%
      \fi
    \fi
  \fi}
\def\si@num@cntpostsf#1#2\@empty{%
  \ifsi@switch
    \advance\si@tempcnta\@ne\relax
  \else
    \if 0#1\relax\else
      \si@tempcnta\@ne\relax
      \expandafter\expandafter\expandafter\si@switchtrue
    \fi
  \fi
  \ifx\@empty#2\@empty\else
    \si@num@cntpostsf#2\@empty\@empty
  \fi}
\newcommand*{\si@num@cntprepost}{%
  \si@tempcntb\si@tempcnta\relax
  \si@num@cntdigits{\si@num@postdec}%
  \advance\si@tempcnta\si@tempcntb\relax
  \ifnum\si@tempcnta>\si@num@sf
    \si@log@debug{Rounding to \the\si@num@sf\space figures}%
    \si@num@rndtarget\si@num@sf\relax
    \si@num@rndstart
    \ifsi@switch
      \si@num@throw
    \fi
  \fi}
\newcommand*{\si@num@sfpre}{%
  \expandafter\edef\expandafter\si@tempa\expandafter{%
    \expandafter\@car\si@num@prernd\@nil}%
  \expandafter\edef\expandafter\si@num@prernd\expandafter{%
    \expandafter\@cdr\si@num@prernd\@nil}%
  \si@tempcntb\si@tempa\relax
  \ifsi@switch
    \advance\si@tempcntb\@ne\relax
  \fi
  \si@switchfalse
  \advance\si@num@sf\@ne\relax
  \ifnum\si@tempcnta>\si@num@sf\relax
    \advance\si@num@sf\m@ne\relax
    \edef\si@num@predec{0\si@num@predec}%
  \else
    \advance\si@num@sf\m@ne\relax
    \ifnum\si@tempcnta>\si@num@sf\relax
      \ifnum\si@tempcntb>4\relax
        \expandafter\expandafter\expandafter\si@switchtrue
      \fi
      \edef\si@num@predec{0\si@num@predec}%
    \else
      \ifnum\si@tempcntb=10\relax
        \si@tempcntb\z@\relax
        \expandafter\expandafter\expandafter\si@switchtrue
      \fi
      \edef\si@num@predec{\the\si@tempcntb\si@num@predec}%
    \fi
  \fi
  \advance\si@tempcnta\m@ne\relax
  \ifx\@empty\si@num@prernd\@empty\else
    \expandafter\si@num@sfpre
  \fi}
\newcommand*{\si@num@int}[1]{%
  \renewcommand*{\si@num@predec}{}%
  \ifsi@sepfour
    \si@num@intfmt{}#1\@empty\@empty\@empty
  \else
    \si@num@iffive{#1}
      {\si@num@intfmt{}#1\@empty\@empty\@empty}
      {\renewcommand*{\si@num@predec}{#1}}%
  \fi}
\newcommand*{\si@num@iffive}[1]{%
  \si@num@five#1\@empty\@empty\@empty\@empty\@empty\end}
\def\si@num@five#1#2#3#4#5\end{%
   \ifx\@empty#5\@empty
      \expandafter\@secondoftwo
   \else
      \expandafter\@firstoftwo
   \fi}
\newcommand*{\si@num@intfmt}[4]{%
  \ifx\@empty#2\@empty
    \si@num@intsep#1\relax
  \else
    \ifx\@empty#3\@empty
      \si@num@intsep\@empty\@empty#1#2\relax
    \else
      \ifx\@empty#4\@empty
        \si@num@intsep\@empty#1#2#3\relax
      \else
        \si@num@fiint{#1#2#3#4}%
      \fi
    \fi
  \fi}
\def\si@num@fiint#1\fi\fi\fi{\fi\fi\fi\si@num@intfmt{#1}}
\newcommand*{\si@num@intsep}[4]{%
  \protected@edef\si@num@predec{\si@num@predec#1#2#3}%
  \if\relax#4\relax\else
    \protected@edef\si@num@predec{%
      \si@num@predec\ensuremath{\noexpand\si@digitsep}}%
    \expandafter\si@num@intsep\expandafter#4%
  \fi}
\newcommand*{\si@num@dec}[1]{%
  \renewcommand*{\si@num@postdec}{}%
  \ifsi@sepfour
    \si@num@decfmt#1\@empty\@empty\@empty\@empty
  \else
    \si@num@iffive{#1}
      {\si@num@decfmt#1\@empty\@empty\@empty\@empty}
      {\protected@edef\si@num@postdec{\si@num@postdec#1}}%
  \fi}
\newcommand*{\si@num@decfmt}[4]{%
  \protected@edef\si@num@postdec{\si@num@postdec#1#2#3}%
  \ifx\@empty#4\@empty%
  \else
    \protected@edef\si@num@postdec{%
      \si@num@postdec\ensuremath{\noexpand\si@digitsep}}%
    \expandafter\si@num@decfmt\expandafter#4%
  \fi}
\newcommand*{\si@num@procerr}{%
  \si@num@addunit
  \ensuremath{\si@pm}%
  \expandafter\si@num\expandafter{\si@num@err}}
\newcommand*{\si@num@sepxpart}{%
  \si@num@addunit
  \ensuremath{\times}%
  \expandafter\expandafter\expandafter\si@num\expandafter
    \expandafter\expandafter{%
      \expandafter\@cdr\si@num@xpart\@nil}}
\newcommand*{\si@num@addunit}{%
  \si@unt@numtrue
  \ifx\@empty\si@unt@unitarg\@empty\else
    \ifsi@repeatunits
      \begingroup
        \si@out@numfalse
        \si@fam@setfalse
        \si@fam@set
        \si@unt@printunit{\si@unt@unitarg}%
      \endgroup
    \fi
  \fi}
\si@newrobustcmd*{\ang}[2][]{%
  \begingroup
    \sisetup{#1}%
    \si@fam@mode
    \si@log@debug{Processing \string\ang\space input `#2'}%
    \@makeother{\;}%
    \makeatletter
    \scantokens{\si@ang@parse#2;;;\@nil}}
\def\si@ang@parse#1;#2;#3;#4\@nil{%
  \let\ifsi@ang@fixdp\ifsi@fixdp
  \si@fixdpfalse
  \si@ifmtarg{#4}
    {\si@log@debug{Angle argument contains no
       semi-colons:\MessageBreak decimal angle}%
     \si@ang@dec{#1}{}{}}
    {\si@log@debug{Angle argument contains
       semi-colons:\MessageBreak degree-minute-second angle}%
     \renewcommand*{\si@tempa}{#4}%
     \renewcommand*{\si@tempb}{;;}%
     \ifx\si@tempa\si@tempb\else
       \ifsi@strictarc
         \renewcommand*{\si@tempb}{;}%
         \ifx\si@tempa\si@tempb
           \si@log@err{Insufficient semi-colons in argument
             of \string\ang}{The argument of
             \string\ang\space  must contain either no
             semi-colons or exactly two}%
         \else
           \si@log@err{Excess semi-colons in argument of
             \string\ang}{The argument of \string\ang\space
             must contain either no semi-colons or exactly
             two}%
         \fi
       \fi
     \fi
     \si@ang@arc{#1}{#2}{#3}}}
\newcommand*{\si@ang@dec}{%
  \let\si@ang@fix\@gobble
  \ifsi@ang@toarc
    \expandafter\si@ang@dectoarc
  \else
    \sisetup{padangle=none}\expandafter\si@ang@typeset
  \fi}
\newcommand*{\si@ang@arc}{%
  \let\si@ang@fix\si@ang@arcfix
  \ifsi@ang@todec
    \expandafter\si@ang@arctodec
  \else
    \expandafter\si@ang@typeset
  \fi}
\newif\ifsi@ang@fixdp
\newcommand*{\si@ang@fix}[1]{}
\newcommand*{\si@ang@arcfix}[1]{%
  \renewcommand*{\si@tempa}{second}%
  \renewcommand*{\si@tempb}{#1}%
  \ifx\si@tempa\si@tempb
    \ifsi@ang@fixdp
      \expandafter\expandafter\expandafter\si@fixdptrue
    \else
      \expandafter\expandafter\expandafter\si@fixdpfalse
    \fi
  \else
    \expandafter\si@fixdpfalse
  \fi}
\newcommand*{\si@ang@ifnum}[1]{%
  \begingroup
    \renewcommand*{\si@numvalid}{0123456789,.+-}%
    \ifx\@empty#1\@empty
      \aftergroup\@firstoftwo
    \else
      \si@num@ifvalid{#1}
        {\aftergroup\@firstoftwo}
        {\aftergroup\@secondoftwo}%
    \fi
  \endgroup}
\newcommand*{\si@ang@arctodec}[3]{%
  \let\si@ang@fix\@gobble
  \ifnum\si@num@dp>\thr@@\relax
    \si@num@dp\thr@@\relax
  \fi
  \si@fixdptrue
  \si@ang@ifnum{#1}
    {\si@ang@ifnum{#2}
      {\si@ang@ifnum{#3}
        {\si@tempdima\z@\relax
         \renewcommand*{\si@tempa}{+}%
         \ifx\@empty#1\@empty\else
           \si@tempdima #1pt\relax
         \fi
         \ifdim\si@tempdima<\z@\relax
           \renewcommand*{\si@tempa}{-}%
         \fi
         \ifx\@empty#2\@empty\else
           \si@tempdima\dimexpr\si@tempdima\si@tempa
             #2pt/60\relax
         \fi
         \ifdim\si@tempdima<\z@\relax
           \renewcommand*{\si@tempa}{-}%
         \else
         \fi
         \ifx\@empty#3\@empty\else
           \si@tempdima\dimexpr\si@tempdima\si@tempa
             #3pt/3600\relax
         \fi
         \sisetup{numdecimal=.}%
         \expandafter\si@ang@typeset\expandafter{%
           \strip@pt\si@tempdima}{}{}}
        {\si@ang@notnum{#1}{#2}{#3}}}
      {\si@ang@notnum{#1}{#2}{#3}}}
    {\si@ang@notnum{#1}{#2}{#3}}}
\newcommand*{\si@ang@dectoarc}[1]{%
  \let\si@ang@fix\si@ang@arcfix
  \si@ang@fixdptrue
  \ifnum\si@num@dp>\@ne\relax
    \si@num@dp\@ne\relax
  \fi
  \si@ang@ifnum{#1}
    {\si@tempdima\z@\relax
     \ifx\@empty#1\@empty\else
       \si@tempdima #1pt\relax
     \fi
     \si@ang@sepint{deg}%
     \si@tempdima\dimexpr\si@tempdima *60\relax
     \si@ang@sepint{min}%
     \edef\si@tempa{\the\dimexpr\si@tempdima *60\relax}%
     \expandafter\newcommand\expandafter*\expandafter{%
       \expandafter\si@ang@arcsec\expandafter}\expandafter{%
       \expandafter\si@ang@strippt\si@tempa}%
     \si@tempdima\z@\relax
     \edef\si@tempa{\the\si@tempdima}%
     \expandafter\renewcommand\expandafter*\expandafter{%
       \expandafter\si@tempa\expandafter}\expandafter{%
       \expandafter\si@ang@strippt\si@tempa}%
     \ifx\si@tempa\si@ang@arcsec
       \renewcommand*{\si@ang@arcsec}{0}%
     \fi
     \renewcommand*{\si@tempa}{0}%
     \ifx\si@ang@arcdeg\si@tempa
       \si@temptoks{{}}%
     \else
       \si@temptoks{{\si@ang@arcdeg}}%
     \fi
     \ifx\si@ang@arcmin\si@tempa
       \si@temptoks\expandafter{\the\si@temptoks{}}%
     \else
       \si@temptoks\expandafter{\the\si@temptoks{%
         \si@ang@arcmin}}%
     \fi
     \ifx\si@ang@arcsec\si@tempa
       \si@temptoks\expandafter{\the\si@temptoks{}}%
     \else
       \si@temptoks\expandafter{\the\si@temptoks{%
         \si@ang@arcsec}}%
     \fi
     \expandafter\si@ang@typeset\the\si@temptoks}
    {\si@ang@notnum{#1}{}{}}}
\newcommand*{\si@ang@sepint}[1]{%
  \expandafter\si@ang@sint\the\si@tempdima\@empty
  \expandafter\let\csname si@ang@arc#1\endcsname\si@tempa}
\def\si@ang@sint#1.#2\@empty{%
  \renewcommand*{\si@tempa}{#1}%
  \si@tempdima 0.#2\relax}
\begingroup
  \catcode`P=12
  \catcode`T=12
  \lowercase{
    \renewcommand*{\si@tempa}{%
      \def\si@ang@strippt##1PT{##1}}}
  \expandafter\endgroup
\si@tempa
\newcommand*{\si@ang@notnum}[3]{%
  \si@log@warn{Angle `#1;#2;#3' is not a pure
    number:\MessageBreak output will be as given}%
  \si@ang@typeset{#1}{#2}{#3}}
\newif\ifsi@ang@sign
\newcommand*{\si@ang@typeset}[3]{%
  \ifsi@ang@padlarge
    \newcommand*{\si@ang@degs}{0\si@sym@degree}%
    \newcommand*{\si@ang@mins}{0\si@sym@minute}%
    \newcommand*{\si@ang@secs}{0\si@sym@second}%
  \else
    \newcommand*{\si@ang@degs}{}%
    \newcommand*{\si@ang@mins}{}%
    \newcommand*{\si@ang@secs}{}%
  \fi
  \protected@edef\si@ang@decimalsymbol{\si@decimalsymbol}%
  \ifsi@astroang
    \let\si@ang@movesign\si@ang@astrosign
  \else
    \let\si@ang@movesign\@gobble
  \fi
  \newcommand*{\si@ang@secnum}{\si@ang@num{second}}%
  \newcommand*{\si@ang@minnum}{\si@ang@num{minute}}%
   \si@ifnotmtarg{#3}
     {\si@log@debug{Found seconds `#3'}%
      \si@ang@ifnum{#3}
        {\ifdim #3 pt=\z@\relax\else
           \si@ang@signtrue
         \fi}{}%
      \renewcommand*{\si@ang@secs}
       {\si@ang@secnum{#3}\si@sym@second}%
      \renewcommand*{\si@ang@mins}
        {\si@ang@pad{0\si@sym@minute}}%
      \renewcommand*{\si@ang@degs}
        {\si@ang@pad{0\si@sym@degree}}}%
   \si@ifnotmtarg{#2}
     {\si@log@debug{Found minutes `#2'}%
      \si@ang@ifnum{#2}
        {\ifdim #2 pt=\z@\relax\else
           \si@ang@signtrue
         \fi}{}%
      \renewcommand*{\si@ang@secnum}{%
        \si@ang@signlessnum{second}}%
      \renewcommand*{\si@ang@mins}
       {\si@ang@minnum{#2}\si@sym@minute}%
      \renewcommand*{\si@ang@degs}
        {\si@ang@pad{0\si@sym@degree}}}%
   \si@ifnotmtarg{#1}
     {\si@log@debug{Found degrees `#1'}%
      \renewcommand*{\si@ang@secnum}{%
        \si@ang@signlessnum{second}}%
      \renewcommand*{\si@ang@minnum}{%
        \si@ang@signlessnum{minute}}%
      \renewcommand*{\si@ang@degs}
       {\si@ang@num{degree}{#1}%
        \si@sym@degree}}%
   \si@out@num
     {\si@ang@degs\si@anglesep\si@ang@mins\si@anglesep
        \si@ang@secs}%
   \endgroup}
\newcommand*{\si@ang@pad}[1]{\ifsi@ang@padsmall #1\fi}
\newcommand*{\si@ang@num}[2]{%
  \begingroup
    \si@ang@fix{#1}%
    \si@ang@movesign{#1}%
    \si@num{#2}%
  \endgroup}
\newcommand*{\si@ang@signlessnum}[2]{%
  \begingroup
    \si@ang@fix{#1}%
    \si@ang@movesign{#1}%
    \sisetup{addsign=none}%
    \si@num{#2}%
  \endgroup}
\newcommand*{\si@ang@killdegree}{\let\si@sym@degree\relax}
\newcommand*{\si@ang@killminute}{\let\si@sym@minute\relax}
\newcommand*{\si@ang@killsecond}{\let\si@sym@second\relax}
\newcommand*{\si@ang@astrosign}[1]{%
  \renewcommand*{\si@decimalsymbol}{%
    \setbox\si@tempboxa=\hbox{%
      \ensuremath{{\si@ang@decimalsymbol}}}%
    \si@tempdima\wd\si@tempboxa\relax
    \setbox\si@tempboxb=\hbox to\z@{%
      \hss\unhbox\si@tempboxa\hss}%
    \setbox\si@tempboxa=\hbox{%
      \csname si@sym@#1\endcsname\hskip-\scriptspace}%
    \si@tempdimb\wd\si@tempboxa\relax
    \setbox\si@tempboxc=\hbox to\z@{%
      \hss\unhbox\si@tempboxa\hss}%
    \setbox\si@tempboxd=\hbox{%
      \usebox\si@tempboxb\usebox\si@tempboxc}%
    \ifdim\si@tempdima>\si@tempdimb\relax
      \setbox\si@tempboxa=\hbox to\si@tempdima{%
        \hss\unhbox\si@tempboxd\hss}%
    \else
      \setbox\si@tempboxa=\hbox to\si@tempdimb{%
        \hss\unhbox\si@tempboxd\hss}%
    \fi
    \usebox\si@tempboxa%
    \ifdim\si@tempdima>\si@tempdimb\relax\else
      \hskip\scriptspace
    \fi}%
  \renewcommand*{\si@num@decimalhook}{\expandafter\aftergroup
    \csname si@ang@kill#1\endcsname}}%
\@ifpackageloaded{cellspace}
  {\newcolumntype{C}[1]{>{\bcolumn #1\@nil}#1<{\ecolumn}}}
  {\AtBeginDocument{
    \@ifpackageloaded{cellspace}
     {\newcolumntype{C}[1]{>{\bcolumn #1\@nil}#1<{\ecolumn}}%
      \renewcommand*{\NC@rewrite@S}[1][]{%
        \edef\si@tempa{\the\@temptokena
        >{\noexpand\si@tab@begin@S[#1]}c%
        <{\noexpand\si@tab@end@S}}%
        \@temptokena\expandafter{\si@tempa}%
        \NC@find}}
     {}}}
\edef\si@tempa{%
  \noexpand\NC@do S\noexpand\NC@do s\the\NC@list}
\newcolumntype{S}{}
\newcolumntype{s}{}
\NC@list\expandafter{\si@tempa}
\newcommand*{\si@tab@corr@colortbl}{\relax}
\AtBeginDocument{
  \@ifpackageloaded{colortbl}{%
    \renewcommand*{\si@tab@corr@colortbl}{%
      \hskip\stretch{-0.5}\kern\z@
    }
  }{}
}
\renewcommand*{\NC@rewrite@S}[1][]{%
  \edef\si@tempa{\the\@temptokena
    >{\noexpand\si@tab@begin@S[#1]}c%
    <{\noexpand\si@tab@end@S}}%
  \@temptokena\expandafter{\si@tempa}%
  \NC@find}
\renewcommand*{\NC@rewrite@s}[1][]{%
  \edef\si@tempa{\the\@temptokena
    >{\noexpand\si@tab@begin@s[#1]}c%
    <{\noexpand\si@tab@end@s}}%
  \@temptokena\expandafter{\si@tempa}%
  \NC@find}
\newcommand*{\si@tab@begin@S}[1][]{%
  \si@log@debug{Processing S column cell contents}%
  \let\si@tab@gettok\si@tab@gettok@S
  \si@seperrfalse
  \renewcommand*{\si@num@sepxpart}{%
    \si@log@err{Multiple numbers not allowed in
       tables\MessageBreak Only the first number used}
       \@ehb}%
  \si@tab@begin[#1]}
\newcommand*{\si@tab@begin@s}[1][]{%
  \si@log@debug{Processing s column cell contents}%
  \let\si@tab@gettok\si@tab@gettok@s
  \si@tab@begin[#1]}
\newtoks\si@tab@toks
\newtoks\si@tab@pretoks
\newtoks\si@tab@posttoks
\newcommand*{\si@tab@begin}[1][]{%
  \begingroup
    \sisetup{#1}%
    \si@tab@toks{}%
    \si@tab@pretoks{}%
    \si@tab@posttoks{}%
    \si@switchfalse
    \si@tab@gettok}
\newcommand*{\si@tab@next}{}
\newcommand*{\si@tab@gettok@S}[1]{%
  \ifx\tabularnewline#1\relax
    \let\si@tab@next\si@tab@newline@S
  \else
    \ifx\end#1\relax
      \let\si@tab@next\end
    \else
      \ifx\si@tab@end@S#1\relax
        \let\si@tab@next\si@tab@end@S
      \else
        \ifx\endtabular#1\relax
          \let\si@tab@next\endtabular
        \else
          \ifx\csname#1\relax
            \let\si@tab@next\csname
          \else
            \ifx\relax#1\relax
              \let\si@tab@next\relax
            \else
              \let\si@tab@next\si@tab@gettok@S
              \ifx\ignorespaces#1\relax
                \si@tab@othertok{#1}%
              \else
                \ifx\unskip#1\relax
                  \si@tab@othertok{#1}%
                \else
                  \si@str@ifchrstr{#1}{\si@numvalid}
                     {\si@switchtrue
                      \si@log@debug{Found numerical cell
                        contents `#1'}%
                      \si@tab@toks=\expandafter{%
                        \the\si@tab@toks#1}}
                     {\si@tab@ifonechar{#1}
                       {\futurelet\si@tempa\si@tab@bracetest#1}%
                       {\si@tab@othertok{#1}}}%
                \fi
              \fi
            \fi
          \fi
        \fi
      \fi
    \fi
  \fi
  \si@tab@next}
\newcommand*{\si@tab@othertok}[1]{%
  \si@log@debug{Found other cell contents `\unexpanded{#1}'}%
  \ifsi@switch
    \si@log@debug{Adding to post-numeral part}%
    \si@tab@posttoks=\expandafter{\the\si@tab@posttoks#1}%
  \else
    \si@log@debug{Adding to pre-numeral part}%
    \si@tab@pretoks=\expandafter{\the\si@tab@pretoks#1}%
  \fi}
\newcommand*{\si@tab@ifonechar}[1]{\si@tab@onechar#1\@empty}
\def\si@tab@onechar#1#2\@empty{%
  \ifx\@empty#2\@empty
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi}
\newcommand*{\si@tab@bracetest}{%
  \ifx\si@tempa\bgroup
    \expandafter\si@tab@othertok
  \else
    \expandafter\si@tab@exptest
  \fi}
\newcommand*{\si@tab@exptest}[1]{%
  \edef\si@tempa{\si@tab@meaning{#1}}%
  \ifx\si@tempa\si@tab@macro
    \si@log@debug{Expanding cell contents `\unexpanded{#1}'}%
    \the\si@tab@pretoks
    \si@tab@pretoks{}%
    \protected@edef\si@tab@next{\noexpand\si@tab@gettok@S#1}%
  \else
    \si@tab@othertok{#1}%
  \fi}
\newcommand*{\si@tab@meaning}[1]{%
  \expandafter\si@tab@strip\meaning#1:->:->\@empty}
\def\si@tab@strip#1:->#2:->#3\@empty{#1}
\newcommand*{\si@tab@macro}{}
\edef\si@tab@macro{\si@tab@meaning{\si@tab@macro}}
\newcommand*{\si@tab@gettok@s}[1]{%
  \ifx\tabularnewline#1\relax
    \let\si@tab@next\si@tab@newline@s
  \else
    \ifx\end#1\relax
      \let\si@tab@next\end
    \else
      \ifx\si@tab@end@s#1\relax
        \let\si@tab@next\si@tab@end@s
      \else
        \ifx\endtabular#1\relax
          \let\si@tab@next\endtabular
        \else
          \ifx\csname#1\relax
            \let\si@tab@next\csname
          \else
            \ifx\relax#1\relax
              \let\si@tab@next\relax
            \else
              \let\si@tab@next\si@tab@gettok@s
              \ifx\ignorespaces#1\relax\else
                \ifx\unskip#1\relax\else
                  \si@tab@toks=\expandafter{%
                    \the\si@tab@toks#1}%
                  \si@log@debug{Found cell contents `#1'}%
                \fi
              \fi
            \fi
          \fi
        \fi
      \fi
    \fi
  \fi
  \si@tab@next}
\newcommand*{\si@tab@end@S}{%
    \ifsi@switch
      \let\si@tab@lfill\si@tab@lfill@S
      \let\si@tab@rfill\si@tab@rfill@S
    \else
      \let\si@tab@rfill\si@tab@rfill@t
      \let\si@tab@lfill\si@tab@lfill@t
    \fi
    \si@tab@corr@colortbl
    \hskip\stretch{\si@tab@lfill}\kern\z@
    \ifsi@switch
      \the\si@tab@pretoks
      \si@tab@numout
      \the\si@tab@posttoks
    \else
      \the\si@tab@pretoks
    \fi
    \hskip\stretch{\si@tab@rfill}\kern\z@
    \si@tab@corr@colortbl
  \endgroup}
\newcommand*{\si@tab@end@s}{%
    \si@tab@corr@colortbl
    \hskip\stretch{\si@tab@lfill@s}\kern\z@
    \ignorespaces
    \expandafter\si\expandafter{\the\si@tab@toks}%
    \unskip
    \hskip\stretch{\si@tab@rfill@s}\kern\z@
    \si@tab@corr@colortbl
  \endgroup}
\newcommand*{\si@tab@newline@S}{%
  \si@tab@end@S
  \hfil\relax
  \let\si@tab@end\si@tab@end@S
  \renewcommand*{\si@tab@end@S}{\let\si@tab@end@S\si@tab@end}%
  \tabularnewline}
\newcommand*{\si@tab@newline@s}{%
  \si@tab@end@s
  \hfil\relax
  \let\si@tab@end\si@tab@end@s
  \renewcommand*{\si@tab@end@s}{\let\si@tab@end@s\si@tab@end}%
  \tabularnewline}
\newcount\si@tempcnta
\newcount\si@tempcntb
\newcommand*{\si@tab@numout}{%
  \si@num@intabtrue
  \ifsi@tabparseonly\else
    \ifsi@tab@fixed
      \ifsi@tabautofit
        \si@num@dp\si@tab@mantpostcnt\relax
        \expandafter\expandafter\expandafter\expandafter
          \expandafter\expandafter\expandafter\si@fixdptrue
      \fi
    \fi
  \fi
  \expandafter\si@num\expandafter{\the\si@tab@toks}%
  \si@tab@format}
\newbox\si@tab@prebox
\newbox\si@tab@midbox
\newbox\si@tab@postbox
\newbox\si@tab@expbox
\newcommand*{\si@tab@format}{%
  \ifsi@tabparseonly
    \expandafter\si@tab@outonly
  \else
    \ifsi@tab@fixed
      \expandafter\expandafter\expandafter\si@tab@fixed
    \else
      \expandafter\expandafter\expandafter\si@tab@unfixed
    \fi
  \fi
  \ifsi@colourvalues
    \si@fam@colourcmd{\si@valuecolour}%
  \fi
  \box\si@tab@prebox\box\si@tab@midbox\box\si@tab@postbox
    \box\si@tab@expbox}
\newcommand*{\si@tab@outonly}{%
  \si@log@debug{Using non-aligned S column}%
  \setbox\si@tab@prebox=\hbox{}%
  \setbox\si@tab@midbox=\hbox{}%
  \setbox\si@tab@postbox=\hbox{}%
  \setbox\si@tab@expbox=\hbox{}%
    \protected@edef\si@tempa{%
      \si@tab@out
    \ifx\@empty\si@num@out\@empty\else
      \ensuremath{{\si@decimalsymbol}}%
    \fi
    \si@num@out
    \si@tab@expout}%
  \expandafter\si@out@num\expandafter{\si@tempa}}
\newcommand*{\si@tab@unfixed}{%
  \si@log@debug{Using variable width S column}%
  \ifx\@empty\si@num@out\@empty
    \setbox\si@tab@midbox=\hbox
      {\phantom{\ensuremath{{\si@decimalsymbol}}}}%
  \else
    \setbox\si@tab@midbox=\hbox
      {\ensuremath{{\si@decimalsymbol}}}%
  \fi
  \protected@edef\si@num@out{\si@num@out\si@tab@expout}%
  \setbox\si@tab@prebox=\hbox{\si@out@num{\si@tab@out}}%
  \setbox\si@tab@postbox=\hbox{\si@out@num{\si@num@out}}%
  \ifdim\wd\si@tab@prebox>\wd\si@tab@postbox\relax
    \setbox\si@tab@postbox=\hbox to\wd\si@tab@prebox%
      {\unhbox\si@tab@postbox\hfill}%
  \else
    \setbox\si@tab@prebox=\hbox to\wd\si@tab@postbox%
      {\hfill\unhbox\si@tab@prebox}%
  \fi
  \setbox\si@tab@expbox=\hbox{}}
\newdimen\si@tab@predim
\newdimen\si@tab@postdim
\newdimen\si@tab@expdim
\newdimen\si@tempdima
\newdimen\si@tempdimb
\newcommand*{\si@tab@sp}{}
\newcommand*{\si@tab@fixed}{%
  \si@log@debug{Using fixed-width S column}%
  \let\si@tab@sp\relax
  \setbox\si@tab@midbox=\hbox{}%
  \setbox\si@tab@expbox=\hbox{}%
  \setbox\si@tempboxa=\hbox{\si@out@num{1}}%
  \si@tempdima\wd\si@tempboxa\relax
  \si@tab@predim\the\si@tab@mantprecnt\si@tempdima\relax
  \si@tab@sepcorr{mantpre}{pre}%
  \si@tab@postdim\si@tab@mantpostcnt\si@tempdima\relax
  \setbox\si@tempboxa=\hbox{\ensuremath{{\si@decimalsymbol}}}%
  \ifnum\si@tab@mantpostcnt=\z@\relax\else
    \advance\si@tab@postdim\wd\si@tempboxa\relax
  \fi
  \si@tab@sepcorr{mantpost}{post}%
  \setbox\si@tempboxa=\hbox{\si@out@num{^{1}}}%
  \si@tempdima\wd\si@tempboxa\relax
  \ifnum\si@tab@expprecnt>\z@\relax
    \si@tab@expdim\si@tab@expprecnt\si@tempdima\relax
    \si@tab@sepcorr{exppre}{exp}%
  \fi
  \let\si@tab@sp\sp
  \ifnum\si@tab@exppostcnt>\z@\relax
    \advance\si@tab@expdim\si@tab@exppostcnt\si@tempdima\relax
    \setbox\si@tempboxa=\hbox{%
      \ensuremath{^{\si@decimalsymbol}}}%
    \advance\si@tab@expdim\wd\si@tempboxa\relax
    \si@tab@sepcorr{exppost}{exp}%
  \fi
  \setbox\si@tempboxa=\hbox{\ensuremath{-}}%
  \ifsi@tab@mantsign
    \advance\si@tab@predim\wd\si@tempboxa\relax
  \fi
  \setbox\si@tempboxa=\hbox{\ensuremath{^{-}}}%
  \ifsi@tab@expsign
    \advance\si@tab@expdim\wd\si@tempboxa\relax
  \fi
  \si@tempcnta\si@tab@expprecnt\relax
  \advance\si@tempcnta\si@tab@exppostcnt\relax
  \ifnum\si@tempcnta>\z@\relax
    \setbox\si@tempboxa=\hbox{\ensuremath{%
      {}\si@expproduct{}\si@expbase}}%
    \advance\si@tab@expdim\wd\si@tempboxa\relax
  \fi
  \ifsi@tabalignexp\else
    \advance\si@tab@postdim\si@tab@expdim\relax
  \fi
  \setbox\si@tab@prebox=\hbox to\si@tab@predim{\hss\hfill
    \si@out@num{\si@tab@out}}%
  \ifx\@empty\si@num@out\@empty
    \setbox\si@tab@postbox=\hbox to\si@tab@postdim{\hfil}%
  \else
    \ifsi@tabalignexp\else
      \protected@edef\si@num@out{\si@num@out\si@tab@expout}%
    \fi
    \setbox\si@tab@postbox=\hbox to\si@tab@postdim
      {\ensuremath{{\si@decimalsymbol}}\si@out@num
        {\si@num@out}\hfil}%
  \fi
  \ifx\@empty\si@tab@expout\@empty
    \ifsi@tabalignexp
      \setbox\si@tab@expbox=\hbox to\si@tab@expdim{\hfil}%
    \fi
  \else
    \ifsi@tabalignexp
      \setbox\si@tab@expbox=\hbox to\si@tab@expdim
        {\si@out@num{\si@tab@expout}\hfil}%
    \fi
  \fi}
\newcommand*{\si@tab@sepcorr}[2]{%
  \expandafter\si@tempcnta\expandafter\the
    \csname si@tab@#1cnt\endcsname\relax
  \divide\si@tempcnta\thr@@\relax
  \ifsi@sepfour\else
    \expandafter\ifnum\expandafter\the
      \csname si@tab@#1cnt\endcsname=4\relax
      \si@tempcnta\z@\relax
    \fi
  \fi
  \setbox\si@tempboxa=\hbox{%
    \ensuremath{\si@tab@sp{\si@digitsep}}}%
  \expandafter\advance\csname si@tab@#2dim\endcsname
    \si@tempcnta\wd\si@tempboxa}
\si@newrobustcmd*{\SI}[2][]{%
  \@ifnextchar[%]
    {\si@SI[#1]{#2}}
    {\si@SI[#1]{#2}[]}}
\si@newrobustcmd*{\si}[2][]{\si@SI[#1]{}[]{#2}}

\newcommand*{\newunit}[3][]{%
  \si@ifdefinable{#2}
    {\si@unt@defunit[#1]{#2}{#3}}
    {\si@log@err{Unit \string#2 already defined!}\@eha}}
\newcommand*{\renewunit}[3][]{%
  \si@ifdefinable{#2}
    {\si@log@err{Unit \string#2 undefined}\@ehc
     \si@unt@defunit[#1]{#2}{#3}}
    {\si@log@inf{Redefining unit \string#2}%
     \si@unt@defunit[#1]{#2}{#3}}}
\newcommand*{\provideunit}[3][]{%
  \si@ifdefinable{#2}
    {\si@unt@defunit[#1]{#2}{#3}}
    {}}
\newcommand*{\newprefix}[4][]{%
  \si@ifdefinable{#2}
    {\si@unt@defprefix[#1]{#2}{#3}{#4}}
    {\si@log@err{Prefix \string#2 already defined!}\@eha}}
\newcommand*{\renewprefix}[4][]{%
  \si@ifdefinable{#2}
    {\si@log@err{Prefix \string#2 undefined}\@ehc
     \si@unt@defprefix[#1]{#2}{#3}{#4}}
    {\si@log@inf{Redefining prefix \string#2}%
     \si@unt@defprefix[#1]{#2}{#3}{#4}}}
\newcommand*{\provideprefix}[4][]{%
  \si@ifdefinable{#2}
    {\si@unt@defprefix[#1]{#2}{#3}{#4}}
    {}}
\newcommand*{\newpower}[3][]{%
  \si@ifdefinable{#2}
    {\si@unt@defpower[#1]{#2}{#3}}
    {\si@log@err{Power \string#2 already defined!}\@eha}}
\newcommand*{\renewpower}[3][]{%
  \si@ifdefinable{#2}
    {\si@log@err{Power \string#2 undefined}\@ehc
     \si@unt@defpower[#1]{#2}{#3}}
    {\si@log@inf{Redefining power \string#2}%
     \si@unt@defpower[#1]{#2}{#3}}}
\newcommand*{\providepower}[3][]{%
  \si@ifdefinable{#2}
    {\si@unt@defpower[#1]{#2}{#3}}
    {}}
\newcommand*{\newqualifier}[2]{%
  \si@ifdefinable{#1}
    {\si@unt@defqual{#1}{#2}}
    {\si@log@err{Qualifier \string#1 already defined!}\@eha}}
\newcommand*{\renewqualifier}[2]{%
  \si@ifdefinable{#1}
    {\si@log@err{Qualifier \string#1 undefined}\@ehc
     \si@unt@defqual{#1}{#2}}
    {\si@unt@defqual{#1}{#2}}}
\newcommand*{\providequalifier}[2]{%
  \si@ifdefinable{#1}
    {\si@unt@defqual{#1}{#2}}
    {}}
\newif\ifsi@unt@num
\newcommand*{\si@unt@unitarg}{}
\newcommand*{\si@unt@SIopts}{}
\def\si@SI[#1]#2[#3]#4{%
  \begingroup
    \let\fg\SIfg
    \sisetup{#1}%
    \renewcommand*{\si@unt@SIopts}{#1}%
    \si@fam@mode
    \si@unt@numfalse
    \si@xspacefalse
    \si@ifnotmtarg{#3}
      {\si@log@debug{Prefix unit found}%
       \si@unt@printunit{#3}}%
    \si@ifnotmtarg{#4}
      {\renewcommand*{\si@unt@unitarg}{#4}}%
    \si@ifnotmtarg{#2}
      {\si@log@debug{Number found in \string\SI\space
         argument}%
       \ifsi@repeatunits\else
         \ifsi@trapambigerr
           \expandafter\expandafter\expandafter
             \si@num@ambigerrtrue
         \fi
       \fi
       \num{#2}%
       \si@unt@numtrue}%
    \si@ifnotmtarg{#4}
      {\si@ifmtarg{#2}
         {\si@unt@printunit{#4}}
         {\si@tempcnta\z@\relax
         \ifsi@addunitpower
           \si@unt@countx{#2}%
         \fi
          \ifnum\si@tempcnta>\z@\relax
            \advance\si@tempcnta\@ne\relax
            \edef\si@tempa{\noexpand\tothe{\si@tempcnta}}%
            \renewcommand*{\si@tempb}{#4}%
            \expandafter\expandafter\expandafter
            \si@unt@printunit\expandafter\expandafter
            \expandafter{%
              \expandafter\si@tempb\si@tempa}%
          \else
            \si@unt@printunit{#4}%
          \fi}}%
  \endgroup}
\newcommand*{\si@unt@countx}[1]{%
  \si@tempcnta\z@\relax
  \expandafter\si@unt@cntx#1\@empty\@empty}
\def\si@unt@cntx#1#2\@empty{%
  \si@str@ifchrstr{#1}{\si@numprod}
    {\advance\si@tempcnta\@ne\relax}
    {}%
  \ifx\@empty#2\@empty\else
    \si@unt@cntx#2\@empty\@empty
  \fi}
\newif\ifsi@unt@littest
\newcommand*{\si@unt@ifliteral}[1]{%
  \begingroup
    \si@unt@littesttrue
    \setbox\si@tempboxa=\hbox{\si@unt@out{#1}}%
    \ifdim\wd\si@tempboxa>\z@\relax
      \aftergroup\@firstoftwo
    \else
      \aftergroup\@secondoftwo
    \fi
  \endgroup}
\newif\ifsi@unt@litout
\newcommand*{\si@unt@printunit}[1]{%
  \si@unt@ifliteral{#1}
    {\ifsi@allowlitunits
        \expandafter\si@unt@litprint
     \else
        \expandafter\si@unt@nolitprint
     \fi
     {#1}}
    {\si@log@debug{Macro unit found:\MessageBreak
       processing to format output}%
     \si@unt@init
     \advance\si@unt@depthcnt\@ne\relax
     #1%
     \si@unt@final}}
\newcommand*{\si@unt@litprint}[1]{%
  \si@log@debug{%
    Literal items found in unit argument:\MessageBreak outputting
    without further processing}%
  \si@unt@litouttrue
  \si@unt@addvaluesep
  \si@unt@out{#1}%
}
\newcommand*{\si@unt@nolitprint}[1]{%
  \si@log@err{Literal units disabled}{%
    You can the literal input `#1' for a unit\MessageBreak
    but the allowliteralunits option is off.
  }
}
\newcommand*{\si@unt@addvaluesep}{%
  \ifsi@unt@num
    \expandafter\si@unt@addvalsep
  \fi}
\newcommand*{\si@unt@addvalsep}{%
  \ifsi@unt@litout
    \expandafter\si@unt@litvalsep
  \else
    \expandafter\si@unt@stackvalsep
  \fi}
\newcommand*{\si@unt@stackvalsep}{%
  \protected@edef\si@unt@spstack{\si@valuesep}}
\newcommand*{\si@unt@litvalsep}{%
  \nobreak\ensuremath{\si@valuesep}\nobreak}
\newcommand*{\si@unt@spstack}{}
\newcommand*{\si@unt@stacka}{}
\newcommand*{\si@unt@stackb}{}
\newcount\si@unt@unitcnta
\newcount\si@unt@unitcntb
\newcount\si@unt@depthcnt
\newif\ifsi@unt@first
\si@unt@depthcnt\m@ne\relax
\newcommand*{\si@unt@init}{%
  \begingroup
    \si@unt@litoutfalse
    \si@unt@litprefixfalse
    \si@unt@firsttrue
    \si@unt@perfalse
    \si@unt@perseenfalse
    \si@unt@prepowerfalse
    \si@unt@depthcnt\z@\relax
    \si@unt@powerdim\z@\relax
    \si@unt@unitcnta\z@\relax
    \si@unt@unitcntb\z@\relax
    \si@unt@prefixcnt\z@\relax
    \renewcommand*{\si@unt@spstack}{}%
    \renewcommand*{\si@unt@stacka}{}%
    \renewcommand*{\si@unt@stackb}{}%
    \renewcommand*{\si@unt@spacestacka}{}%
    \renewcommand*{\si@unt@spacestackb}{}%
    \renewcommand*{\si@unt@lastadda}{space}%
    \renewcommand*{\si@unt@lastaddb}{space}}
\newcommand*{\si@unt@final}{%
    \si@unt@third
    \si@unt@stackout
  \endgroup
  \ifsi@xspace
    \expandafter\expandafter\expandafter\xspace
  \fi}
\newcommand*{\si@unt@defunit}[3][]{%
  \si@log@debug{Declaring unit \string#2 with \MessageBreak
    meaning \string#3}%
  \si@ifnotmtarg{#1}
    {\expandafter\@namedef\expandafter{%
      \expandafter\@gobble\string#2@opt@unt@si}{#1}}%
  \protected\def#2{%
    \ifsi@allowoptarg
      \expandafter\si@unt@withopt
    \else
      \expandafter\si@unt@noopt
    \fi
    {#2}{#3}}}
\newcommand*{\si@unt@withopt}[2]{%
  \@ifnextchar[%]
    {\si@unt@opt{#1}{#2}}
    {\si@unt@opt{#1}{#2}[]}}
\newcommand*{\si@unt@noopt}[2]{\si@unt@opt{#1}{#2}[]}
\def\si@unt@opt#1#2[#3]{%
  \ifsi@unt@littest
    \expandafter\si@gobblethree
  \else
    \ifsi@unt@litout
      \expandafter\expandafter\expandafter\@gobbletwo
    \else
      \expandafter\expandafter\expandafter\si@unt@unit
    \fi
  \fi
  {#3}{#1}{#2}}
\long\def\si@gobblethree #1#2#3{}
\newif\ifsi@unt@litprefix
\si@unt@litprefixtrue
\newcommand*{\si@unt@defprefix}[4][]{%
  \si@log@debug{Declaring multiple \string#1 with\MessageBreak
    meaning \string#4}%
  \expandafter\expandafter\expandafter\def\expandafter
    \csname\expandafter\@gobble\string#2@opt@si\endcsname{#1}%
  \protected\def#2{%
    \ifsi@unt@littest
      \expandafter\si@gobblethree
    \else
      \ifsi@unt@litout
        \expandafter\expandafter\expandafter\@gobbletwo
      \else
        \ifsi@unt@litprefix
          \expandafter\expandafter\expandafter\expandafter
            \expandafter\expandafter\expandafter\@gobbletwo
        \else
          \expandafter\expandafter\expandafter\expandafter
            \expandafter\expandafter\expandafter\si@unt@prefix
        \fi
      \fi
    \fi
    {#2}{#3}{#4}}}
\newcommand*{\si@unt@defpower}[3][]{%
  \si@log@debug{Declaring power \string#2 with\MessageBreak
    meaning \string#3}%
  \expandafter\expandafter\expandafter\def\expandafter
    \csname\expandafter\@gobble\string#2@opt@si\endcsname{#1}%
  \protected\def#2{%
    \ifsi@unt@littest
      \expandafter\@gobbletwo
    \else
      \ifsi@unt@litout
        \expandafter\expandafter\expandafter\si@unt@litpower
      \else
        \expandafter\expandafter\expandafter\si@unt@power
      \fi
    \fi
    {#2}{#3}}}
\newcommand*{\si@unt@defqual}[2]{%
  \si@log@debug{Declaring qualifier \string#1 with\MessageBreak
    meaning \string#2}%
  \protected\def#1{%
    \ifsi@unt@littest
      \expandafter\@gobble
    \else
      \ifsi@unt@litout
        \expandafter\expandafter\expandafter\si@unt@litqual
      \else
        \expandafter\expandafter\expandafter\si@unt@qual
      \fi
    \fi
    {#2}}}
\newcommand*{\si@unt@unithook}{}
\newcommand*{\si@unt@unit}[3]{%
  \ifnum\si@unt@depthcnt=\m@ne\relax
    \expandafter\si@unt@init
  \fi
  \advance\si@unt@depthcnt\@ne\relax
  \si@log@debug{Unit processing: level \the\si@unt@depthcnt,
    \MessageBreak unit \string#2}%
  \si@unt@firstorsecond{#1}{#2}%
  \si@unt@ifliteral{#3}
    {\si@unt@addtostack{unit}{#3}%
     \ifsi@unt@prepower
       \expandafter\si@unt@stkpower
     \fi}
    {#3}%
  \advance\si@unt@depthcnt\m@ne\relax
  \ifnum\si@unt@depthcnt=\z@\relax
    \expandafter\si@unt@final
  \fi}
\newcommand*{\si@unt@firstorsecond}[2]{%
  \ifsi@unt@first
    \expandafter\si@unt@first
  \else
    \expandafter\si@unt@second
  \fi
  {#1}{#2}}%
\newcommand*{\si@unt@first}[2]{%
  \si@ifnotmtarg{#1}
    {\num{#1}%
     \si@unt@numtrue}%
  \si@unt@unithook
  \ifcsname\expandafter\@gobble\string#2@opt@unt@si\endcsname
    \expandafter\si@unt@setopts
  \else
    \expandafter\@gobble
  \fi
  {#2}%
  \si@unt@addvaluesep
  \si@unt@firstfalse}
\newcommand*{\si@unt@setopts}[1]{%
  \expandafter\expandafter\expandafter\expandafter\expandafter
    \expandafter\expandafter\si@temptoks\expandafter
    \expandafter\expandafter\expandafter\expandafter
    \expandafter\expandafter{\expandafter%
      \csname\expandafter\@gobble\string#1@opt@unt@si%
      \endcsname}%
  \expandafter\sisetup\expandafter{\the\si@temptoks}%
  \si@log@debug{Applying options `\the\si@temptoks'
    for\MessageBreak unit \string#1}%
  \@ifundefined{si@unt@SIopts}{}
    {\ifx\@empty\si@unt@SIopts\@empty\else
       \expandafter\expandafter\si@unt@setSIopts
     \fi}}
\newcommand*{\si@unt@setSIopts}{%
  \expandafter\si@temptoks\expandafter{\si@unt@SIopts}%
  \expandafter\sisetup\expandafter{\the\si@temptoks}}
\newcommand*{\si@unt@second}[2]{%
  \si@ifnotmtarg{#1}
    {\si@log@warn{Optional argument to unit macro\MessageBreak
       allowed only for outer unit}}%
  \si@unt@third
  \si@unt@addtostack{space}{\ensuremath{\si@unitsep}}}
\newcommand*{\si@unt@third}{%
  \ifsi@unt@prepower\else
    \expandafter\si@unt@stkpower
  \fi
  \renewcommand*{\si@tempa}{prefix}%
  \expandafter\ifx
    \csname si@unt@lastadd\si@unt@checkstack\endcsname\si@tempa
  \else
    \expandafter\si@unt@spacecheck
  \fi
  \ifsi@unt@per
    \expandafter\si@unt@perseentrue
  \fi}
\newcommand*{\si@unt@spacecheck}{%
  \renewcommand*{\si@tempa}{space}%
  \expandafter\ifx
    \csname si@unt@lastadd\si@unt@checkstack\endcsname\si@tempa
  \else
    \expandafter\si@unt@reciptest
  \fi}
\newcommand*{\si@unt@prefix}[3]{%
  \si@unt@firstorsecond{}{#1}%
  \ifsi@prefixsymbolic
    \expandafter\si@unt@addprefix
  \else
    \expandafter\si@unt@countprefix
  \fi
  {#1}{#2}{#3}}
\newcommand*{\si@unt@addprefix}[3]{%
  \si@unt@addtostack{prefix}{#3}}
\newcount\si@unt@prefixcnt
\newcommand*{\si@unt@countprefix}[3]{%
  \renewcommand*{\si@tempa}{binary}%
  \expandafter\expandafter\expandafter\ifx\expandafter
    \csname\expandafter\@gobble\string#1@opt@si\endcsname
    \si@tempa
    \expandafter\sisetup
  \else
    \expandafter\@gobble
  \fi
  {prefixbase=two}%
  \si@tempcnta#2\relax
  \ifsi@unt@per
    \expandafter\si@unt@invprefix
  \fi
  \advance\si@unt@prefixcnt\si@tempcnta\relax}
\newcommand*{\si@unt@invprefix}{%
  \si@tempcntb\si@tempcnta\relax
  \si@tempcnta -\si@tempcntb\relax}
\newcommand*{\si@unt@litpower}[2]{\textsuperscript{#2}}
\newif\ifsi@unt@prepower
\newcommand*{\si@unt@power}[2]{%
  \renewcommand*{\si@tempa}{post}%
  \expandafter\expandafter\expandafter\ifx\expandafter
    \csname\expandafter\@gobble\string#1@opt@si\endcsname
    \si@tempa
    \expandafter\@gobbletwo
  \else
    \expandafter\si@unt@firstorsecond
  \fi
  {}{\power}%
  \si@unt@powerdim #2 pt\relax
  \ifsi@frac\else
    \ifsi@unt@per
      \expandafter\expandafter\expandafter\si@unt@invpower
    \fi
  \fi
  \renewcommand*{\si@tempa}{post}%
  \si@unt@prepowertrue
  \expandafter\expandafter\expandafter\ifx\expandafter
    \csname\expandafter\@gobble\string#1@opt@si\endcsname
    \si@tempa
    \expandafter\si@unt@stackpower
  \else
    \si@log@debug{Power \strip@pt\si@unt@powerdim\space saved
      to be added after\MessageBreak next unit}%
  \fi}
\newdimen\si@unt@powerdim
\newcommand*{\si@unt@stackpower}{%
  \si@unt@prepowerfalse
  \si@unt@stkpower
  \ifsi@stickyper\else
    \si@unt@perfalse
    \si@unt@perseenfalse
  \fi}
\newcommand*{\si@unt@stkpower}{%
  \ifdim\si@unt@powerdim=\m@ne pt\relax
    \ifsi@frac\else
      \expandafter\expandafter\expandafter\si@unt@stkpwr
    \fi
  \else
    \expandafter\si@unt@stkpwr
  \fi}
\newcommand*{\si@unt@stkpwr}{%
  \ifdim\si@unt@powerdim=\z@\relax\else
    \renewcommand*{\si@tempa}{unit}%
    \expandafter\ifx
      \csname si@unt@lastadd\si@unt@checkstack\endcsname
      \si@tempa
      \si@unt@skpwr
    \else
      \renewcommand*{\si@tempa}{qual}%
      \expandafter\ifx
        \csname si@unt@lastadd\si@unt@checkstack\endcsname
        \si@tempa
        \si@unt@skpwrqual
      \fi
    \fi
  \fi
  \si@unt@powerdim\z@\relax}
\newcommand*{\si@unt@skpwr}{%
  \si@log@debug{Adding power
    \strip@pt\si@unt@powerdim\space to output stack}%
  \si@unt@addtostack{power}{^{\num[fixdp=false]{%
    \strip@pt\si@unt@powerdim}}}}
\newcommand*{\si@unt@invpower}{%
  \si@tempdima\si@unt@powerdim\relax
  \si@unt@powerdim -\si@tempdima\relax
  \ifdim\si@unt@powerdim=\p@\relax
    \si@unt@powerdim\z@\relax
  \fi}
\newcommand*{\si@unt@litqual}[1]{(#1)}
\newcommand*{\si@unt@qual}[1]{%
  \ifsi@unt@first
    \si@log@err{Qualifier before units}
      {A unit qualifier can only be given after\MessageBreak
       one or more units.  You tried to open a unit
       with\MessageBreak \string#1}%
  \fi
  \expandafter\let\expandafter\si@unt@spacestack
    \csname si@unt@spacestack\si@unt@checkstack\endcsname
  \expandafter\let\csname si@unt@spacestack\si@unt@checkstack
    \endcsname\@empty
  \renewcommand*{\si@tempa}{power}%
    \expandafter\ifx
    \csname si@unt@lastadd\si@unt@checkstack\endcsname\si@tempa
    \let\si@unt@skpwrqual\relax
  \else
    \let\si@unt@skpwrqual\si@unt@skpwr
  \fi
  \si@unt@addtostack{qual}{_{#1}}%
  \expandafter\let\csname si@unt@spacestack\si@unt@checkstack
    \endcsname\si@unt@spacestack}
\newif\ifsi@unt@per
\newif\ifsi@unt@perseen
\si@newrobustcmd*{\si@per}{%
  \ifsi@unt@littest\else
    \ifsi@unt@litout
      \expandafter\expandafter\expandafter /%
    \else
      \ifsi@unt@litprefix
        \expandafter\expandafter\expandafter\expandafter
          \expandafter\expandafter\expandafter /%
      \else
        \expandafter\expandafter\expandafter\expandafter
          \expandafter\expandafter\expandafter\si@unt@per
      \fi
    \fi
  \fi}
\newcommand*{\si@unt@per}{%
  \si@unt@firstorsecond{}{\per}%
  \ifsi@unt@per
    \ifsi@stickyper\else
      \expandafter\expandafter\expandafter\si@unt@perfalse
    \fi
  \else
    \expandafter\si@unt@pertrue
  \fi}
\let\per\si@per
\newcommand*{\si@unt@reciptest}{%
  \ifsi@unt@per
    \ifsi@unt@perseen
      \expandafter\expandafter\expandafter\si@unt@recip
    \fi
  \fi}
\newcommand*{\si@unt@recip}{%
  \si@unt@powerdim\m@ne pt\relax
  \si@unt@stackpower}
\newcommand*{\si@unt@lastadda}{}
\newcommand*{\si@unt@lastaddb}{}
\newcommand*{\si@unt@addtostack}[2]{%
  \renewcommand*{\si@tempa}{#1}%
  \expandafter\ifx
    \csname si@unt@lastadd\si@unt@checkstack\endcsname\si@tempa
      \renewcommand*{\si@tempa}{prefix}%
      \expandafter\ifx\csname si@unt@lastadd\si@unt@checkstack
        \endcsname\si@tempa
        \si@log@warn{Two prefixes found: only first printed}%
      \fi
    \expandafter\@gobbletwo
  \else
    \expandafter\si@unt@preplussp
  \fi
  {#1}{#2}}
\newcommand*{\si@unt@preplussp}[2]{%
  \renewcommand*{\si@tempa}{prefix+space}%
  \edef\si@tempb{%
    \csname si@unt@lastadd\si@unt@checkstack\endcsname+#1}%
  \ifx\si@tempa\si@tempb
    \expandafter\@gobbletwo
  \else
    \expandafter\si@unt@stack
  \fi
  {#1}{#2}}
\newcommand*{\si@unt@stack}[2]{%
  \expandafter\renewcommand\expandafter*\expandafter{%
    \csname si@unt@lastadd\si@unt@checkstack\endcsname}{#1}%
  \renewcommand*{\si@tempa}{#1}%
  \renewcommand*{\si@tempb}{unit}%
  \ifx\si@tempa\si@tempb
    \expandafter\si@unt@inccnt
  \fi
  \renewcommand*{\si@tempb}{space}%
  \ifx\si@tempa\si@tempb
    \expandafter\si@unt@holdspace
  \else
    \expandafter\si@unt@addstack
  \fi
  {#2}}
\newcommand*{\si@unt@inccnt}{%
  \expandafter\advance
    \csname si@unt@unitcnt\si@unt@checkstack\endcsname
    \@ne\relax}
\newcommand*{\si@unt@spacestack}{}
\newcommand*{\si@unt@spacestacka}{}
\newcommand*{\si@unt@spacestackb}{}
\newcommand*{\si@unt@holdspace}[1]{%
  \renewcommand*{\si@tempa}{b}%
  \edef\si@tempb{\si@unt@checkstack}%
  \ifx\si@tempa\si@tempb
    \ifx\@empty\si@unt@stackb\@empty
    \else
      \protected@edef\si@unt@spacestackb{#1}%
    \fi
  \else
    \protected@edef\si@unt@spacestacka{#1}%
  \fi}
\newcommand*{\si@unt@addstack}[1]{%
  \expandafter\protected@edef
    \csname si@unt@stack\si@unt@checkstack\endcsname
    {\csname si@unt@stack\si@unt@checkstack\endcsname
     \csname si@unt@spacestack\si@unt@checkstack\endcsname#1}%
  \expandafter\renewcommand\expandafter*\expandafter{%
    \csname si@unt@spacestack\si@unt@checkstack\endcsname}{}}
\newcommand*{\si@unt@stackout}{%
  \si@unt@litouttrue
  \ifsi@frac
    \expandafter\si@unt@fracout
  \else
    \expandafter\si@unt@normout
  \fi}
\newcommand*{\si@unt@checkstack}{%
  \ifsi@frac
    \ifsi@unt@per
      \expandafter\expandafter\expandafter b%
    \else
      \expandafter\expandafter\expandafter a%
    \fi
  \else
    \expandafter a%
  \fi}
\newcommand*{\si@unt@spaceout}{%
   \ensuremath{\si@unt@spstack}}
\newcommand*{\si@unt@prefixout}{%
  \ifnum\si@unt@prefixcnt=\z@\relax\else
    \ifsi@unt@num
      \si@out{\ensuremath{{}\si@prefixproduct{}}}%
    \fi
    \si@unt@stackvalsep
    \let\si@expbase\si@prefixbase
    \num[fixdp=false]{e\the\si@unt@prefixcnt}%
  \fi}
\newcommand*{\si@unt@normout}{%
  \si@unt@prefixout
  \si@unt@spaceout
  \expandafter\si@unt@out\expandafter{\si@unt@stacka}}
\newcommand*{\si@unt@fracout}{%
  \si@unt@notambig
  \ifx\@empty\si@unt@stacka\@empty
    \ifx\@empty\si@unt@stackb\@empty
      \ifsi@unt@litout\else
        \si@log@err{Empty fractional unit}{The unit
          argument\MessageBreak given does not contain any
          symbols}%
      \fi
    \else
      \ifsi@slash
        \si@unt@prefixout
        \si@frac{}{\si@unt@stackb}%
      \else
        \si@unt@prefixout
        \si@unt@spaceout
        \si@frac{1}{\si@unt@stackb}%
      \fi
    \fi
  \else
    \ifx\@empty\si@unt@stackb\@empty
      \si@unt@normout
    \else
      \si@unt@prefixout
      \si@unt@spaceout
      \si@frac{\si@unt@stacka}{\si@unt@stackb}%
    \fi
  \fi}
\newcommand*{\si@unt@notambig}{%
  \ifnum\si@unt@unitcntb>\@ne\relax
    \ifsi@slash
        \ifsi@trapambigfrac
          \expandafter\expandafter\expandafter\expandafter
            \expandafter\expandafter\expandafter\si@unt@notabg
        \fi
    \fi
  \fi}
\newcommand*{\si@unt@notabg}{%
  \protected@edef\si@unt@stackb{\si@openfrac\si@unt@stackb
    \si@closefrac}}
\begingroup
  \catcode`\~=\active
  \catcode`\.=\active
  \gdef\si@unt@out#1{%
    \si@temptoks{#1}%
    \si@unt@fullstop
    \def.{\ensuremath{\si@unitsep}}%
    \def~{\ensuremath{\si@unitspace}}%
    \expandafter\protected@edef\expandafter\si@tempa
      \expandafter{\the\si@temptoks}%
    \begingroup
      \si@unt@nonlatin
      \makeatletter
      \endlinechar\m@ne
      \expandafter\si@out\expandafter{%
        \expandafter\scantokens\expandafter{\si@tempa}}%
    \endgroup}
\endgroup
\begingroup
  \catcode`\.=\active
  \catcode`\&=12\relax
  \begingroup
    \lccode`\.=`\.\relax
    \lccode`\&=`\.\relax
  \lowercase{\endgroup
    \gdef\si@unt@fullstop{%
      \si@temptoks\expandafter{\expandafter}\expandafter
      \si@unt@stp\the\si@temptoks&\@nil}
  \gdef\si@unt@stp#1&#2\@nil{%
    \edef\si@tempa{\the\si@temptoks}%
    \ifx\si@tempa\@empty
      \expandafter\@firstoftwo
    \else
      \expandafter\@secondoftwo
    \fi
      {\si@temptoks{#1}}
      {\si@temptoks\expandafter{\the\si@temptoks.#1}}%
    \si@ifmtarg{#2}
      {}
      {\si@unt@stp#2\@nil}}}
\endgroup
\newcommand*{\si@unt@nonlatin}{}
\ifdefined\XeTeXrevision
  \renewcommand*{\si@unt@nonlatin}{%
    \catcode176=\active
    \catcode181=\active
    \catcode197=\active
    \si@unt@sym{176}{\si@sym@degree}%
    \si@unt@sym{181}{\si@sym@mu}%
    \si@unt@sym{197}{\si@sym@ringA}}%
\fi
\AtBeginDocument{
  \@ifpackageloaded{inputenc}
    {\@for\si@tempa:=latin1,latin5,latin9\do{
       \ifx\inputencodingname\si@tempa
         \renewcommand*{\si@unt@nonlatin}{%
           \catcode176=\active
           \catcode181=\active
           \catcode197=\active
           \si@unt@sym{176}{\si@sym@degree}%
           \si@unt@sym{181}{\si@sym@mu}%
           \si@unt@sym{197}{\si@sym@ringA}}%
       \fi}}
    {}}
\newcommand*{\si@unt@sym}[1]{%
  \bgroup
    \uccode`\~#1%
    \uppercase{%
      \egroup
      \def~}}
\newunit{\kilogram}{kg}
\newunit{\metre}{m}
\newunit{\meter}{\metre}
\newunit{\mole}{mol}
\AtBeginDocument{\provideunit{\second}{s}}
\newunit{\ampere}{A}
\newunit{\kelvin}{K}
\newunit{\candela}{cd}
\AtBeginDocument{
  \@ifundefined{Square}{%
    \newpower{\Square}{2}}{}}
\newpower{\ssquare}{2}
\newpower[post]{\squared}{2}
\newpower{\cubic}{3}
\newpower[post]{\cubed}{3}
\newcommand*{\tothe}{\si@tothe{\tothe}}
\newcommand*{\raiseto}{\si@tothe{\raiseto}}
\newcommand*{\si@tothe}[2]{%
  \ifsi@unt@littest
    \expandafter\@gobbletwo
  \else
    \ifsi@unt@litout
      \expandafter\expandafter\expandafter\si@unt@litpower
    \else
      \expandafter\expandafter\expandafter\si@unt@power
    \fi
  \fi
  {#1}{#2}}
\newcommand*{\tothe@opt@si}{post}
\newcommand*{\raiseto@opt@si}{}
\si@newrobustcmd*{\numrange}[3][]{%
  \begingroup
    \sisetup{#1}%
    \num{#2}%
    \text{\si@tophrase}%
    \num{#3}%
  \endgroup
}
\si@newrobustcmd*{\SIrange}[4][]{%
  \begingroup
    \sisetup{#1}%
    \ifsi@repeatunits
      \SI{#2}{#4}%
    \else
      \ifsi@trapambigrange
        \ensuremath{\si@openrange}%
      \fi
      \num{#2}%
    \fi
    \text{\si@tophrase}%
    \ifsi@repeatunits
      \SI{#3}{#4}%
    \else
      \ifsi@trapambigrange
        \num{#3}%
        \ensuremath{\si@closerange\si@valuesep}%
        \si{#4}%
      \else
        \SI{#3}{#4}%
      \fi
    \fi
  \endgroup
}
\newcommand*{\si@loc@load}[1]{%
  \let\si@loc@sisetup\sisetup
  \renewcommand*{\sisetup}[1]{%
    \expandafter\gdef\csname si@loc@#1\endcsname{##1}}%
  \si@loadfile{#1}%
  \let\sisetup\si@loc@sisetup}
\newcommand*{\si@loc@set}[1]{%
  \ifcsname si@loc@#1\endcsname
    \si@log@inf{Setting locale to `#1'}%
    \expandafter\expandafter\expandafter\expandafter
      \expandafter\expandafter\expandafter\si@temptoks
      \expandafter\expandafter\expandafter\expandafter
      \expandafter\expandafter\expandafter{%
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      \csname si@loc@#1@extra\endcsname
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    \ifcsname si@loc@#1@extra\endcsname
      \si@log@inf{Setting locale to `#1'}%
      \csname si@loc@#1@extra\endcsname
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      \si@log@warn{Unknown locale `#1'}%
    \fi
  \fi}
\newcommand*{\si@loc@ltol}[1]{%
  \def\si@tempa##1:##2\@nil{\si@loc@load{##1}}
  \@for\si@tempb:=#1\do{%
    \expandafter\si@tempa\si@tempb:\@nil}
  \AtBeginDocument{
    \@ifpackageloaded{babel}
      {\def\si@tempa##1:##2:##3\@nil{%
        \expandafter\addto\expandafter{%
          \csname extras##2\endcsname}%
          {\si@loc@set{##1}}}%
       \@for\si@tempb:=#1\do{%
         \expandafter\si@tempa\si@tempb::\@nil}%
       \expandafter\selectlanguage\expandafter{\languagename}}
      {\si@log@warn{babel not loaded \MessageBreak
        loctolang option ignored}}}}
\AtBeginDocument{
  \@ifpackageloaded{babel}
    {\renewcommand*{\si@loc@ltol}[1]{%
       \def\si@tempa##1:##2\@nil{\si@loc@load{##1}}%
       \@for\si@tempb:=#1\do{%
         \expandafter\si@tempa\si@tempb:\@nil}%
       \def\si@tempa##1:##2:##3\@nil{%
         \expandafter\addto\expandafter{%
           \csname extras##2\endcsname}%
           {\si@loc@set{##1}}}%
       \@for\si@tempb:=#1\do{%
         \expandafter\si@tempa\si@tempb::\@nil}}}
    {\renewcommand*{\si@loc@ltol}[1]{%
       \si@log@warn{babel not loaded \MessageBreak
         loctolang option ignored}}}}
\newcommand*{\addtolocale}[2]{%
  \si@addtocsname{si@loc@#1@extra}{#2}}
\begingroup
  \catcode`\^=\active
  \catcode`\-=\active
  \catcode`\_=\active
  \gdef\si@out#1{%
    \begingroup
      \catcode`\^=\active
      \catcode`\_=\active
      \makeatletter
      \endlinechar\m@ne
      \ifsi@fam@set\else
        \expandafter\si@fam@set
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      \text{%
        \si@colourcmd{\si@colour}%
        \si@fam@italic\si@fam@bold\si@fam@text
        \ifsi@textmode
          \expandafter\si@out@text
        \else
          \expandafter\si@out@maths
        \fi
        {\scantokens{#1}}}%
    \endgroup
    \check@mathfonts}
  \gdef\si@out@text#1{%
    \let^\si@out@sp
    \let_\si@out@sb
    \let\textsuperscript\si@out@sp
    \let\textsubscript\si@out@sb
    \catcode`\-=\active\relax
    \let-\si@out@minus
    #1}
  \gdef\si@out@maths#1{%
    \let^\sp
    \let_\sb
    \let\textsuperscript\sp
    \let\textsubscript\sb
    $\si@fam@maths{#1}$}
\endgroup
\newcommand*{\si@out@sp}[1]{\ensuremath{^{\text{#1}}}}
\newcommand*{\si@out@sb}[1]{\ensuremath{_{\text{#1}}}}
\newcommand*{\si@out@minus}{}
\DeclareTextSymbolDefault{\si@out@minus}{TS1}
\DeclareTextSymbol{\si@out@minus}{TS1}{61}
\newif\ifsi@out@num
\newcommand*{\si@out@num}[1]{%
  \begingroup
    \si@out@numtrue
    \si@out{#1}%
  \endgroup}
\newcommand*{\si@extension}{cfg}
\newcommand*{\si@fileprefix}{si-}
\newcommand*{\si@ifl@aded}{}
\let\si@ifl@aded\@ifl@aded
\newcommand*{\si@ifloaded}[1]{%
  \si@ifl@aded\si@extension{\si@fileprefix#1}}
\newcommand*{\si@loadfile}[1]{%
  \si@ifloaded{#1}{}
    {\si@InputIfFileExists{\si@fileprefix#1.\si@extension}
      {}
      {\si@log@err{Failed to load file
         \si@fileprefix#1.\si@extension}
         {The configuration file requested could not be
          found}}}}
\newif\ifsi@outerinput\si@outerinputtrue
\let\si@InputIfFileExists\InputIfFileExists
\AtBeginDocument{
  \renewcommand*{\si@InputIfFileExists}{%
    \ifsi@outerinput
      \expandafter\si@outerinput
    \else
      \expandafter\InputIfFileExists
    \fi}}
\newcommand*{\si@outerinput}[3]{%
  \makeatletter
  \nullfont
  \si@outerinputfalse
  \IfFileExists{#1}%
    {#2\@addtofilelist{#1}\@@input \@filef@und\normalsize}
    {#3}%
  \normalsize
  \makeatother}
\newcommand*{\requiresiconfigs}[1]{%
  \@for\si@tempb:=#1\do{\si@loadfile{\si@tempb}}}
\newcommand*{\si@loademfile}[1]{%
  \@ifpackageloaded{#1}
    {\si@log@err{Emulation clash for package `#1'}
      {You have asked for emulation of package
       `#1'\MessageBreak
       (perhaps by giving siunitx a back-compatibility
       option)\MessageBreak but the package is already
       loaded!}}
    {\si@loadfile{#1}}}
\newcommand*{\si@emclash}[2]{%
  \si@log@err{Emulation clash: `#1' and `#2'}
    {You have asked for emulation of package `#1'\MessageBreak
     but have already loaded emulation of `#2'}}
\newcommand*{\si@emulating}[2]{%
  \@namedef{ver@#1.sty}{#2 siunitx emulation of #1}%
  \let\si@tempa\si@blockpkgs
  \renewcommand*{\si@blockpkgs}{}%
  \@for\si@tempb:=\si@tempa\do{%
    \renewcommand*{\si@tempa}{#1}%
    \ifx\si@tempa\si@tempb\else
      \lowercase{\edef\si@tempa{#1}}%
      \lowercase{\edef\si@tempc{\si@tempb}}%
      \ifx\si@tempa\si@tempc
        \@namedef{ver@\si@tempc.sty}{#2 siunitx emulation of
          #1}%
      \else
        \si@addtolist{\si@blockpkgs}{\si@tempb}%
      \fi
    \fi}%
  \let\si@tempa\si@checkpkgs
  \renewcommand*{\si@checkpkgs}{}%
  \renewcommand*{\si@tempb}{#1}%
  \@for\si@tempc:=\si@tempa\do{%
    \ifx\si@tempb\si@tempc\else
      \si@addtolist{\si@checkpkgs}{\si@tempc}%
    \fi}}
\sisetup{
  addsign=none,
  allowlitunits=true,
  allowzeroexp=false,
  angformat=unchanged,
  astroang=false,%(
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  closefrac=),%(
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  colour=black,
  colourall=false,
  colourneg=false,
  decimalsymbol=fullstop,
  detectdisplay=true,
  digitsep=thin,
  dp=3,
  eVcorra=0.3ex,
  eVcorrb=0ex,
  errspace=none,
  fixdp=false,
  inlinebold=text,
  load=default,
  mathsrm=mathrm,
  mathssf=mathsf,
  mathstt=mathtt,
  mode=maths,
  negcolour=red,
  noload={},
  numaddn={},%(
  numcloseerr=),
  numdecimal={.,},
  numdigits=0123456789,
  numdiv=/,
  numexp=eEdD,
  numgobble={},
  numopenerr=(,%)
  numprod=x,
  numsign=+-\pm\mp,
  obeybold=false,
  obeyitalic=false,
  obeymode=false,
  openerr=(,%)
  openfrac=(,%)
  openrange=(,%
  padangle=small,
  padnumber=lead,
  per=reciprocal,
  prefixbase=ten,
  prefixproduct=times,
  prefixsymbolic=true,
  prespace=false,
  redefsymbols=true,
  repeatunits=true,
  retainplus=false,
  seperr=false,
  sepfour=false,
  sign=plus,
  slash=slash,
  stickyper=false,
  strictarc=true,
  tabalignexp=true,
  tabautofit=false,
  tabformat=3.2,
  tabnumalign=centredecimal,
  tabparseonly=false,
  tabtextalign=centre,
  tabunitalign=left,
  textrm=rmfamily,
  textsf=sffamily,
  texttt=ttfamily,
  tightpm=false,
  tophrase=to,
  trapambigerr=true,
  trapambigfrac=true,
  trapambigrange=true,
  unitsep=thin,
  valuesep=thin,
  xspace=false}
\ProcessOptionsX[si]<key>
\ifx\@empty\si@emulate\@empty\else
  \@for\si@tempa:=\si@emulate\do{%
    \si@loademfile{\si@tempa}}
\fi
\newcommand*{\si@expanddefault}[2]{%
  \expandafter\ifx\expandafter\@empty\csname si@#1\endcsname
    \@empty
  \else
    \renewcommand*{\si@tempb}{default}%
    \renewcommand*{\si@tempc}{}%
    \expandafter\@for\expandafter\si@tempa\expandafter
      :\expandafter=\csname si@#1\endcsname\do{%
      \ifx\si@tempa\si@tempb
        \si@addtolist{\si@tempc}{#2}%
      \else
        \si@addtolist{\si@tempc}{\si@tempa}%
      \fi}
    \expandafter\edef\csname si@#1\endcsname{\si@tempc}%
    \expandafter\si@addtolist\expandafter{%
      \csname si@no#1\endcsname}%
      {default}%
    \renewcommand*{\si@tempc}{}%
    \expandafter\@for\expandafter\si@tempa\expandafter
      :\expandafter=\csname si@#1\endcsname\do{%
      \si@switchfalse
      \expandafter\@for\expandafter\si@tempb\expandafter
        :\expandafter=\csname si@no#1\endcsname\do{%
        \ifx\si@tempa\si@tempb
          \si@switchtrue
        \fi
        \ifsi@switch\else
          \si@addtolist{\si@tempc}{\si@tempa}%
        \fi}}
    \@for\si@tempa:=\si@tempc\do{%
      \si@loadfile{\si@tempa}}%
  \fi}
\si@expanddefault{load}{prefix,named,addn,prefixed,accepted,%
  physical,abbr}
\IfFileExists{siunitx.cfg}
  {\si@log@inf{Local configuration file found}%
   \InputIfFileExists{siunitx.cfg}{}{}}
  {}
\si@catcodes
\endinput
%%
%% End of file `siunitx.sty'.