%%
%% 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}
  [2009/03/29 v2.0alpha 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
}
\begingroup
  \@for\@tempa:=SIunits,sistyle,siunits,SIstyle,unitsdef,fancyunits\do{%
    \@ifpackageloaded{\@tempa}{%
      \PackageError{siunitx}{Package `\@tempa' incompatible}{%
         The \@tempa\space package and siunitx are incompatible.
         \MessageBreak Use the `emulate=\@tempa' package option when
         loading siunitx.
      }%
    }{}%
  }
\endgroup
\newcommand*{\si@package@check}{%
  \begingroup
    \@for\@tempa:=SIunits,sistyle,siunits,SIstyle\do{
      \@ifpackageloaded{\@tempa}{%
        \PackageError{siunitx}{Package `\@tempa' incompatible}{%
          The \@tempa\space package and siunitx are incompatible.
          \MessageBreak Use the `emulate=\@tempa' package option when
           loading siunitx.
        }%
      }{}%
    }%
  \endgroup
}
\AtBeginDocument{\si@package@check}
\newcommand*{\si@catcode@restore}{}
\newcommand*{\si@catcode@set}{}
\newcommand*{\si@catcode@store}[2]{%
  \edef\si@catcode@restore{%
    \si@catcode@restore
    \catcode#1 \the\catcode#1\relax
  }%
  \catcode#1 #2\relax
}
\newcommand*{\si@catcode@symbols}{%
  \si@catcode@set{42}{12}% *
  \si@catcode@set{43}{12}% +
  \si@catcode@set{44}{12}% ,
  \si@catcode@set{46}{12}% .
  \si@catcode@set{47}{12}% /
  \si@catcode@set{58}{12}% :
  \si@catcode@set{59}{12}% ;
  \si@catcode@set{60}{12}% <
  \si@catcode@set{61}{12}% =
  \si@catcode@set{62}{12}% >
}
\let\si@catcode@set\si@catcode@store
\si@catcode@symbols
\si@catcode@set{38}{4}% &
\si@catcode@set{45}{12}% -
\si@catcode@set{94}{7}% ^
\si@catcode@set{95}{8}% _
\si@catcode@set{126}{13}% ~
\renewcommand*{\si@catcode@set}[2]{%
  \catcode#1 #2\relax
}
\newcommand*{\si@lccode@restore}{}
\edef\si@lccode@restore{%
  \lccode38 \the\lccode38\relax % &
}
\newcommand*{\si@lccode@set}[2]{%
  \lccode#1 #2\relax
}
\RequirePackage{amstext,array,etex,pgfkeys}
\newcommand*{\si@encoding@ts@one}{%
  \@ifundefined{T@TS1}{%
    \DeclareFontEncoding{TS1}{}{}%
    \DeclareFontSubstitution{TS1}{cmr}{m}{n}%
  }{}%
}
\AtBeginDocument{%
  \si@encoding@ts@one
}
\newcommand*{\si@key@path}{}
\newcommand*{\si@key@error}{%
  \expandafter\si@key@error@aux\pgfkeyscurrentkey\si@stop
}
\newcommand*{\si@key@error@aux}{}
\def\si@key@error@aux/siunitx/#1\si@stop{%
  \si@log@error{Unknown option `#1'}{%
    The option `#1' is not known to siunitx.
  }%
}
\newcommand*{\si@keys@family}[1]{%
  \pgfkeys{
    /siunitx/#1/.is family,
    /siunitx/#1/.unknown/.code = \si@key@error
  }%
}
\pgfkeys{
  /siunitx/.is family,
  /siunitx/.unknown/.code = \si@key@error
}
\pgfkeys{
  /handlers/.is siunitx switch/.code = {%
    \edef\si@key@path{\pgfkeyscurrentpath}%
    \pgfkeys{
      \si@key@path/.is choice,
      \si@key@path/.default    = {true},
      \si@key@path/true/.code  = {\si@bool@cs@true{si@#1@bool}},
      \si@key@path/false/.code = {\si@bool@cs@false{si@#1@bool}},
      \si@key@path/yes/.code   = {\si@bool@cs@true{si@#1@bool}},
      \si@key@path/no/.code    = {\si@bool@cs@false{si@#1@bool}},
      \si@key@path/on/.code    = {\si@bool@cs@true{si@#1@bool}},
      \si@key@path/off/.code   = {\si@bool@cs@false{si@#1@bool}},
    }%
  }
}
\newcommand*{\si@false@bool}{01}
\newcommand*{\si@true@bool}{00}
\newcommand*{\si@tmp@bool}{}
\newcommand*{\si@tempa}{}
\newcommand*{\si@tempb}{}
\newcount\si@tempcnt
\newsavebox\si@tempbox
\newtoks\si@temp@toks
\newcommand*{\si@log@error}{%
  \PackageError{siunitx}%
}
\newcommand*{\si@log@info}{%
  \PackageInfo{siunitx}%
}
\newcommand*{\si@log@warning}{%
  \PackageWarning{siunitx}%
}
\newcommand*{\si@reserveda}{}
\newcommand*{\si@reservedb}{}
\newtoks\si@reserved@toks
\newcommand*{\si@add@left@n}[2]{%
  \def\si@reserveda{#2}%
  \edef#1{%
    \expandafter\unexpanded\expandafter{\si@reserveda}%
    \expandafter\unexpanded\expandafter{#1}%
  }%
}
\newcommand*{\si@add@left@o}[2]{%
  \expandafter\si@add@left@n\expandafter#1\expandafter{#2}%
}
\newcommand*{\si@add@left@cs@n}[1]{%
  \expandafter\si@add@left@n\csname #1\endcsname
}
\newcommand*{\si@add@left@cs@o}[1]{%
  \expandafter\si@add@left@o\csname #1\endcsname
}
\newcommand*{\si@add@right@n}[2]{%
  \def\si@reserveda{#2}%
  \edef#1{%
    \expandafter\unexpanded\expandafter{#1}%
    \expandafter\unexpanded\expandafter{\si@reserveda}%
  }%
}
\newcommand*{\si@add@right@o}[2]{%
  \expandafter\si@add@right@n\expandafter#1\expandafter{#2}%
}
\newcommand*{\si@add@right@cs@n}[1]{%
  \expandafter\si@add@right@n\csname #1\endcsname
}
\newcommand*{\si@add@right@cs@o}[1]{%
  \expandafter\si@add@right@o\csname #1\endcsname
}
\newcommand*{\si@bool@false}[1]{%
  \let#1\si@false@bool
}
\newcommand*{\si@bool@new}[1]{%
  \newcommand*{#1}{}%
  \let#1\si@false@bool
}
\newcommand*{\si@bool@true}[1]{%
  \let#1\si@true@bool
}
\newcommand*{\si@bool@cs@false}[1]{%
  \expandafter\si@bool@false\csname #1\endcsname
}
\newcommand*{\si@bool@cs@new}[1]{%
  \expandafter\si@bool@new\csname #1\endcsname
}
\newcommand*{\si@bool@cs@true}[1]{%
  \expandafter\si@bool@true\csname #1\endcsname
}
\newcommand*{\si@bool@if@F}[1]{%
  \if#1%
    \expandafter\@gobble
  \else
    \expandafter\@firstofone
  \fi
}
\newcommand*{\si@bool@if@T}[1]{%
  \if#1%
    \expandafter\@firstofone
  \else
    \expandafter\@gobble
  \fi
}
\newcommand*{\si@bool@if@TF}[1]{%
  \if#1%
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi
}
\newcommand*{\si@bool@cs@if@F}[1]{%
  \expandafter\si@bool@if@F\csname #1\endcsname
}
\newcommand*{\si@bool@cs@if@T}[1]{%
  \expandafter\si@bool@if@T\csname #1\endcsname
}
\newcommand*{\si@bool@cs@if@TF}[1]{%
  \expandafter\si@bool@if@TF\csname #1\endcsname
}
\newcommand*{\si@clear@cs}[1]{%
  \si@let@cN{#1}\@empty
}
\newcommand*{\si@clear@macro}[1]{%
  \let#1\@empty
}
\newcommand*{\si@count@incr@cs}[1]{%
  \advance\@nameuse{#1}\@ne\relax
}
\newcommand*{\si@csname@if@F}[1]{%
  \ifcsname #1\endcsname
    \expandafter\@gobble
  \else
    \expandafter\@firstofone
  \fi
}
\newcommand*{\si@csname@if@T}[1]{%
  \ifcsname #1\endcsname
    \expandafter\@firstofone
  \else
    \expandafter\@gobble
  \fi
}
\newcommand*{\si@csname@if@TF}[1]{%
  \ifcsname #1\endcsname
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi
}
\newcommand*{\si@dowhile@bool@T}[2]{%
  #2%
  \si@bool@if@T#1{%
    \si@dowhile@bool@T#1{#2}%
  }%
}
\newcommand*{\si@empty@cs@if@F}[1]{%
  \expandafter\si@empty@if@F\csname #1\endcsname
}
\newcommand*{\si@empty@cs@if@T}[1]{%
  \expandafter\si@empty@if@T\csname #1\endcsname
}
\newcommand*{\si@empty@cs@if@TF}[1]{%
  \expandafter\si@empty@if@TF\csname #1\endcsname
}
\newcommand*{\si@empty@if@F}[1]{%
  \si@meaning@eq@if@F#1\@empty
}
\newcommand*{\si@empty@if@T}[1]{%
  \si@meaning@eq@if@T#1\@empty
}
\newcommand*{\si@empty@if@TF}[1]{%
  \si@meaning@eq@if@TF#1\@empty
}
\newcommand*{\si@empty@tlist@if@F}[1]{%
  \expandafter\ifx\expandafter\si@nil\detokenize{#1}\si@nil
    \expandafter\@gobble
  \else
    \expandafter\@firstofone
  \fi
}
\newcommand*{\si@empty@tlist@if@T}[1]{%
  \expandafter\ifx\expandafter\si@nil\detokenize{#1}\si@nil
    \expandafter\@firstofone
  \else
    \expandafter\@gobble
  \fi
}
\newcommand*{\si@empty@tlist@if@TF}[1]{%
  \expandafter\ifx\expandafter\si@nil\detokenize{#1}\si@nil
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi
}
\newcommand*{\si@empty@toks@if@F}[1]{%
 \expandafter\si@empty@tlist@if@F\expandafter{\the#1}%
}
\newcommand*{\si@empty@toks@if@T}[1]{%
 \expandafter\si@empty@tlist@if@T\expandafter{\the#1}%
}
\newcommand*{\si@empty@toks@if@TF}[1]{%
 \expandafter\si@empty@tlist@if@TF\expandafter{\the#1}%
}
\newcommand*{\si@elt@count}[1]{%
  \number\numexpr 0\si@loop@over@macro#1\si@elt@count@aux\relax
}
\newcommand*{\si@elt@count@aux}[1]{+1}
\newcommand*{\si@elt@count@cs}[1]{%
  \expandafter\si@elt@count\csname #1\endcsname
}
\newcommand*{\si@expand@tlist}[2]{%
  \si@clear@macro#1%
  \def\si@reservedb##1{%
    \si@add@right@o#1{##1}%
  }%
  \si@loop@over@macro@aux\si@reservedb#2\si@loop@end\si@loop@stop
}
\newcommand*{\si@expand@tlist@cs}[1]{%
  \expandafter\si@expand@tlist\csname #1\endcsname
}
\newcommand*{\si@in@if@F}[2]{%
  \def\si@reserveda##1#2##2\si@stop{%
    \si@no@value@if@T{##2}%
  }%
  \expandafter\si@reserveda#1#2\si@no@value\si@stop
}
\newcommand*{\si@in@if@T}[2]{%
  \def\si@reserveda##1#2##2\si@stop{%
    \si@no@value@if@F{##2}%
  }%
  \expandafter\si@reserveda#1#2\si@no@value\si@stop
}
\newcommand*{\si@in@if@TF}[2]{%
  \def\si@reserveda##1#2##2\si@stop{%
    \si@no@value@if@FT{##2}%
  }%
  \expandafter\si@reserveda#1#2\si@no@value\si@stop
}
\newcommand*{\si@in@tlist@if@F}[2]{%
  \def\si@reserveda##1#2##2\si@stop{%
    \si@no@value@if@T{##2}%
  }%
  \si@reserveda#1#2\si@no@value\si@stop
}
\newcommand*{\si@in@tlist@if@T}[2]{%
  \def\si@reserveda##1#2##2\si@stop{%
    \si@no@value@if@F{##2}%
  }%
  \si@reserveda#1#2\si@no@value\si@stop
}
\newcommand*{\si@in@tlist@if@TF}[2]{%
  \def\si@reserveda##1#2##2\si@stop{%
    \si@no@value@if@FT{##2}%
  }%
  \si@reserveda#1#2\si@no@value\si@stop
}
\newcommand*{\si@in@cs@if@F}[1]{%
  \expandafter\si@in@if@F\csname #1\endcsname
}
\newcommand*{\si@in@cs@if@T}[1]{%
  \expandafter\si@in@if@T\csname #1\endcsname
}
\newcommand*{\si@in@cs@if@TF}[1]{%
  \expandafter\si@in@if@TF\csname #1\endcsname
}
\newcommand*{\si@let@cc}[2]{%
  \expandafter\si@let@cN\expandafter{\expandafter#1\expandafter}%
    \csname #2\endcsname
}
\newcommand*{\si@let@cN}[1]{%
  \expandafter\let\csname #1\endcsname
}
\newcommand*{\si@let@Nc}[2]{%
  \expandafter\let\expandafter#1\csname #2\endcsname
}
\newcommand*{\si@loop@over@cs}[1]{%
  \expandafter\si@loop@over@macro\csname #1\endcsname
}
\newcommand*{\si@loop@over@macro}[2]{%
  \expandafter\si@loop@over@macro@aux
  \expandafter#2#1\si@loop@end\si@loop@stop
}
\newcommand*{\si@loop@over@macro@aux}[2]{%
  \si@loop@end@if{#2}%
  #1{#2}%
  \si@loop@over@macro@aux#1%
}
\newcommand*{\si@loop@end@if}[1]{%
  \expandafter\ifx\si@loop@end@if@aux#1?\si@nil\si@loop@end\si@loop@end
    \expandafter\si@loop@exit
  \fi
}
\newcommand*{\si@loop@exec@end@if}[2]{%
  \expandafter\ifx\si@loop@end@if@aux#1?\si@nil\si@loop@end\si@loop@end
    \expandafter\si@loop@exit@exec
  \else
    \expandafter\@gobble
  \fi
  {#2}%
}
\newcommand*{\si@loop@end@if@aux}{}
\def\si@loop@end@if@aux#1#2\si@nil\si@loop@end{#1}
\newcommand*{\si@loop@exit}{}
\def\si@loop@exit#1\si@loop@stop{}
\newcommand*{\si@loop@exit@exec}{}
\def\si@loop@exit@exec#1#2\si@loop@stop{#1}
\newcommand*{\si@loop@end}{\si@loop@end}
\newcommand*{\si@loop@stop}{\si@loop@stop}
\newcommand*{\si@loop@over@three}[2]{%
  \expandafter\si@loop@over@three@aux
  \expandafter#2#1\si@loop@end\si@loop@stop
}
\newcommand*{\si@loop@over@three@aux}[4]{%
  \si@loop@end@if{#2}%
  #1{#2#3#4}%
  \si@loop@over@three@aux#1%
}
\newcommand*{\si@loop@over@three@cs}[1]{%
  \expandafter\si@loop@over@three\csname #1\endcsname
}
\newcommand*{\si@meaning@eq@if@F}[2]{%
  \ifx#1#2%
    \expandafter\@gobble
  \else
    \expandafter\@firstofone
  \fi
}
\newcommand*{\si@meaning@eq@if@T}[2]{%
  \ifx#1#2%
    \expandafter\@firstofone
  \else
    \expandafter\@gobble
  \fi
}
\newcommand*{\si@meaning@eq@if@TF}[2]{%
  \ifx#1#2%
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi
}
\newcommand*{\si@meaning@eq@cs@if@F}[2]{%
  \expandafter\si@meaning@eq@if@F\csname #1\expandafter\endcsname
    \csname #2\endcsname
}
\newcommand*{\si@meaning@eq@cs@if@T}[2]{%
  \expandafter\si@meaning@eq@if@T\csname #1\expandafter\endcsname
    \csname #2\endcsname
}
\newcommand*{\si@meaning@eq@cs@if@TF}[2]{%
  \expandafter\si@meaning@eq@if@TF\csname #1\expandafter\endcsname
    \csname #2\endcsname
}
\newcommand*{\si@mode@maths@display@if@T}{%
  \ifmmode
    \ifinner
      \expandafter\expandafter\expandafter\@gobble
    \else
      \expandafter\expandafter\expandafter\@firstofone
    \fi
  \else
    \expandafter\@gobble
  \fi
}
\newcommand*{\si@mode@maths@inline@if@T}{%
  \ifmmode
    \ifinner
      \expandafter\expandafter\expandafter\@firstofone
    \else
      \expandafter\expandafter\expandafter\@gobble
    \fi
  \else
    \expandafter\@gobble
  \fi
}
\newcommand*{\si@mode@maths@if@F}{%
  \ifmmode
    \expandafter\@gobble
  \else
    \expandafter\@firstofone
  \fi
}
\newcommand*{\si@mode@maths@if@TF}{%
  \ifmmode
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi
}
\newcommand*{\si@edef@c}[1]{%
  \expandafter\edef\csname #1\endcsname
}
\newcommand*{\si@newcommand}{%
  \@ifstar{%
    \let\l@ngrel@x\protected
    \si@newcommand@aux@i
  }{%
    \def\l@ngrel@x{\protected\long}%
    \si@newcommand@aux@i
  }%
}
\newcommand*{\si@newcommand@aux@i}[1]{%
  \@testopt{\si@newcommand@aux@ii#1}0%
}
\newcommand*{\si@newcommand@aux@ii}{}
\def\si@newcommand@aux@ii#1[#2]{%
  \@ifnextchar[{%
    \si@newcommand@aux@iii#1[#2]%
  }{%
    \@argdef#1[#2]%
  }%]
}
\newcommand*{\si@newcommand@aux@iii}{}
\def\si@newcommand@aux@iii#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}%
  }%
}
\newcommand*{\si@nil}{\si@nil}
\newcommand*{\si@stop}{\si@stop}
\newcommand*{\si@no@value}{\si@no@value}
\newcommand*{\si@no@value@if@F}[1]{%
  \if\si@no@value@if@aux@i{#1}%
    \expandafter\@gobble
  \else
    \expandafter\@firstofone
  \fi
}
\newcommand*{\si@no@value@if@FT}[1]{%
  \if\si@no@value@if@aux@i{#1}%
    \expandafter\@secondoftwo
  \else
    \expandafter\@firstoftwo
  \fi
}
\newcommand*{\si@no@value@if@T}[1]{%
  \if\si@no@value@if@aux@i{#1}%
    \expandafter\@firstofone
  \else
    \expandafter\@gobble
  \fi
}
\newcommand*{\si@no@value@if@TF}[1]{%
  \if\si@no@value@if@aux@i{#1}%
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi
}
\newcommand*{\si@no@value@if@aux@i}[1]{%
  \if\expandafter\si@no@value@if@aux@ii\expandafter
    {\string\si@no@value\space}{\detokenize{#1}}%
    \si@true@bool
  \else
    \si@false@bool
  \fi
}
\newcommand*{\si@no@value@if@aux@ii}[1]{%
  \if\number\si@no@value@if@aux@iii{}{}#1\relax
}
\newcommand*{\si@no@value@if@aux@iii}[3]{%
  \if#3\relax
    \expandafter\si@no@value@if@aux@iv
  \fi
  \si@no@value@if@aux@iii{\if#3#1}{#2\fi}%
}
\newcommand*{\si@no@value@if@aux@iv}{}
\def\si@no@value@if@aux@iv\si@no@value@if@aux@iii#1#2#3{%
  #1#3\relax'#213
    \si@true@bool
  \else
    \si@false@bool
  \fi
}
\newcommand*{\si@num@if@F}[1]{%
  \ifnum#1\relax
    \expandafter\@gobble
  \else
    \expandafter\@firstofone
  \fi
}
\newcommand*{\si@num@if@T}[1]{%
  \ifnum#1\relax
    \expandafter\@firstofone
  \else
    \expandafter\@gobble
  \fi
}
\newcommand*{\si@num@if@TF}[1]{%
  \ifnum#1\relax
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi
}
\newcommand*{\si@replace@all@in}[3]{%
  \si@reserved@toks{}%
  \def\si@tempa##1#2##2\si@stop{%
    \si@no@value@if@TF{##2}{%
      \si@replace@all@in@aux{##1}%
    }{%
      \si@replace@all@in@aux{##1#3}%
      \si@tempa\@empty##2\si@stop
    }%
  }%
  \@firstofone{\expandafter\si@tempa\expandafter\@empty}%
  #1#2\si@no@value\si@stop
  \edef#1{\the\si@reserved@toks}%
}
\newcommand*{\si@replace@all@in@aux}[1]{%
  \si@reserved@toks\expandafter\expandafter\expandafter{%
    \expandafter\the\expandafter\si@reserved@toks#1%
  }%
}
\newcommand*{\si@replace@all@in@cs}[1]{%
  \expandafter\si@replace@all@in\csname #1\endcsname
}
\newcommand*{\si@reverse@macro}[1]{%
 \edef#1{%
   \expandafter\si@reverse@tlist\expandafter{#1}%
  }%
}
\newcommand*{\si@reverse@cs}[1]{%
 \expandafter\si@reverse@macro\csname #1\endcsname
}
\newcommand*{\si@reverse@tlist}[1]{%
  \si@reverse@tlist@aux{}#1\si@loop@end\si@loop@stop
}
\newcommand*{\si@reverse@tlist@aux}[2]{%
  \si@loop@exec@end@if{#2}{#1}%
  \si@reverse@tlist@aux{#2#1}%
}
\newcommand*{\si@stop@if@F}[1]{%
  \si@meaning@eq@if@F#1\si@stop
}
\newcommand*{\si@stop@if@T}[1]{%
  \si@meaning@eq@if@T#1\si@stop
}
\newcommand*{\si@stop@if@TF}[1]{%
  \si@meaning@eq@if@TF#1\si@stop
}
\newcommand*{\si@whiledo@num@T}[2]{%
  \si@num@if@T{#1}{%
    #2\si@whiledo@num@T{#1}{#2}%
  }%
}
\newcommand*{\si@whiledo@empty@F}[2]{%
  \si@empty@if@F#1{%
    #2\si@whiledo@empty@F#1{#2}%
  }%
}
\newcommand*{\si@whiledo@empty@T}[2]{%
  \si@empty@if@T#1{%
    #2\si@whiledo@empty@T#1{#2}%
  }%
}
\newcommand*{\si@whiledo@empty@cs@F}[2]{%
  \si@empty@cs@if@F{#1}{%
    #2\si@whiledo@empty@cs@F{#1}{#2}%
  }%
}
\newcommand*{\si@whiledo@empty@cs@T}[2]{%
  \si@empty@cs@if@T{#1}{%
    #2\si@whiledo@empty@cs@T{#1}{#2}%
  }%
}
\newcommand*{\si@font@fam@mathsf}{}
\newcommand*{\si@font@fam@mathtt}{}
\newcommand*{\si@font@fam@detect@maths}[1]{%
  \begingroup
    \setbox\@tempboxa\hbox{%
      \ensuremath{%
        \csname math#1\endcsname{%
          \expandafter\global\expandafter\chardef
            \csname si@font@fam@math#1\endcsname\fam\relax
        }%
      }%
    }%
  \endgroup
}
\g@addto@macro{\document}{%
  \si@font@fam@detect@maths{sf}%
  \si@font@fam@detect@maths{tt}%
}
\newcommand*{\si@font@fam@sfdefault}{}
\newcommand*{\si@font@fam@ttfamily}{}
\newcommand*{\si@font@fam@detect@text}[1]{%
  \si@edef@c{si@font@fam@#1default}{\@nameuse{#1default}}%
}
\AtBeginDocument{%
  \si@font@fam@detect@text{sf}%
  \si@font@fam@detect@text{tt}%
}
\si@bool@new\si@font@det@b@bool
\si@bool@new\si@font@det@family@bool
\si@bool@new\si@font@det@maths@display@bool
\si@bool@new\si@font@det@maths@inline@bool
\si@bool@new\si@font@det@it@bool
\si@bool@new\si@font@det@mode@bool
\si@keys@family{font/detect}
\pgfkeys{
  /siunitx/font/detect,
  all/.style   =  {
    /siunitx/font/detect/bold   = true,
    /siunitx/font/detect/family = true,
    /siunitx/font/detect/italic = true,
    /siunitx/font/detect/mode   = true
  },
  bold/.is siunitx switch          = {font@det@b},
  display math/.is siunitx switch  = {font@det@maths@display},
  display maths/.is siunitx switch = {font@det@maths@display},
  family/.is siunitx switch        = {font@det@family},
  inline bold/.is choice,
  inline bold/.cd,
    maths/.code = {\si@bool@true\si@font@det@maths@inline@bool},
    math/.code  = {\si@bool@true\si@font@det@maths@inline@bool},
    text/.code  = {\si@bool@false\si@font@det@maths@inline@bool},
  /siunitx/font/detect,
  italic/.is siunitx switch = {font@det@it},
  mode/.is siunitx switch   = {font@det@mode},
  none/.style   =  {
    /siunitx/font/detect/bold   = false,
    /siunitx/font/detect/family = false,
    /siunitx/font/detect/italic = false,
    /siunitx/font/detect/mode   = false
  },
  bold          = false,
  display maths = true,
  inline bold   = text,
  italic        = false,
  mode          = false
}
\si@bool@new\si@font@set@bool
\newcommand*{\si@font@set@bold}{}
\newcommand*{\si@font@set@family}{}
\newcommand*{\si@font@set@italic}{}
\si@bool@new\si@font@set@text@bool
\newcommand*{\si@font@det@set}{%
  \si@bool@if@F\si@font@set@bool{%
    \si@font@det@init
    \si@bool@if@T\si@font@det@b@bool{%
      \si@font@det@bold
    }%
    \si@bool@if@T\si@font@det@family@bool{%
      \si@font@det@family
    }%
    \si@bool@if@T\si@font@det@it@bool{%
      \si@font@det@italic
    }%
    \si@bool@if@T\si@font@det@mode@bool{%
      \si@font@det@mode
    }%
  }%
}
\newcommand*{\si@font@det@init}{%
  \si@bool@true\si@font@set@bool
  \def\si@font@set@bold{\unboldmath\mdseries}%
  \def\si@font@set@family{rm}%
  \si@bool@false\si@font@set@text@bool
  \def\si@font@set@italic{\upshape}%
}
\newcommand*{\si@font@det@bold}{%
  \si@mode@maths@display@if@T{%
    \si@bool@if@TF\si@font@det@maths@display@bool{%
      \si@font@det@bold@maths
    }{%
      \si@font@det@bold@text
    }%
  }%
  \si@mode@maths@inline@if@T{%
    \si@bool@if@TF\si@font@det@maths@inline@bool{%
      \si@font@det@bold@maths
    }{%
      \si@font@det@bold@text
    }%
  }%
  \si@mode@maths@if@F{%
    \si@font@det@bold@text
  }%
}
\newcommand*{\si@font@det@bold@maths}{%
  \def\si@tempa{bold}%
  \si@meaning@eq@if@T\si@tempa\math@version{%
    \def\si@font@set@bold{\boldmath\bfseries}%
  }%
}
\newcommand*{\si@font@det@bold@text}{%
  \def\si@tempa{b}%
  \edef\si@tempb{\expandafter\@car\f@series\@nil}%
  \si@meaning@eq@if@T\si@tempa\si@tempb{%
    \def\si@font@set@bold{\boldmath\bfseries}%
  }%
}
\newcommand*{\si@font@det@family}{%
  \si@font@det@fam@text
  \si@bool@if@T\si@font@det@maths@display@bool{%
    \si@mode@maths@display@if@T{%
      \si@font@det@fam@maths
    }%
  }%
}
\newcommand*{\si@font@det@fam@maths}{%
  \def\si@font@set@family{rm}%
  \si@num@if@TF{\the\fam=\si@font@fam@mathsf}{%
    \def\si@font@set@family{sf}%
  }{%
    \si@num@if@T{\the\fam=\si@font@fam@mathtt}{%
      \def\si@font@set@family{tt}%
    }%
  }%
}
\newcommand*{\si@font@det@fam@text}{%
  \si@meaning@eq@if@T\f@family\si@font@fam@sfdefault{%
    \def\si@font@set@family{sf}%
  }%
  \si@meaning@eq@if@T\f@family\si@font@fam@ttdefault{%
    \def\si@font@set@family{tt}%
  }%
}
\newcommand*{\si@font@det@italic}{%
  \def\si@tempa{it}%
  \si@meaning@eq@if@T\si@tempa\f@shape{%
    \def\si@font@set@italic{\itshape}%
  }%
}
\newcommand*{\si@font@det@mode}{%
  \si@mode@maths@if@F{%
    \si@bool@true\si@font@set@text@bool
  }%
}
\newcommand*{\si@font@unit@maths@rm}{}
\newcommand*{\si@font@unit@maths@sf}{}
\newcommand*{\si@font@unit@maths@tt}{}
\newcommand*{\si@font@unit@text@rm}{}
\newcommand*{\si@font@unit@text@sf}{}
\newcommand*{\si@font@unit@text@tt}{}
\newcommand*{\si@font@num@maths@rm}{}
\newcommand*{\si@font@num@maths@sf}{}
\newcommand*{\si@font@num@maths@tt}{}
\newcommand*{\si@font@num@text@rm}{}
\newcommand*{\si@font@num@text@sf}{}
\newcommand*{\si@font@num@text@tt}{}
\si@bool@new\si@font@unit@textmode@bool
\si@bool@new\si@font@num@textmode@bool
\si@keys@family{font}
\si@keys@family{font/units}
\si@keys@family{font/numbers}
\pgfkeys{
  /siunitx/font,
  maths rm/.style = {
    /siunitx/font/units/maths rm = #1,
    /siunitx/font/numbers/maths rm = #1
  },
  maths sf/.style = {
    /siunitx/font/units/maths sf = #1,
    /siunitx/font/numbers/maths sf = #1
  },
  maths tt/.style = {
    /siunitx/font/units/maths tt = #1,
    /siunitx/font/numbers/maths tt = #1
  },
  maths rm/.style = {
    /siunitx/font/units/maths rm = #1,
    /siunitx/font/numbers/maths rm = #1
  },
  maths sf/.style = {
    /siunitx/font/units/maths sf = #1,
    /siunitx/font/numbers/maths sf = #1
  },
  maths tt/.style = {
    /siunitx/font/units/maths tt = #1,
    /siunitx/font/numbers/maths tt = #1
  },
  mode/.is choice,
  mode/.cd,
    maths/.style = {
      /siunitx/font/units/mode = maths,
      /siunitx/font/numbers/mode = maths
    },
    math/.style  = {
      /siunitx/font/units/mode = maths,
      /siunitx/font/numbers/mode = maths
    },
    text/.style  = {
      /siunitx/font/units/mode = text,
      /siunitx/font/numbers/mode = text
    },
  /siunitx/font,
  text rm/.style  = {
    /siunitx/font/units/text rm = #1,
    /siunitx/font/numbers/text rm = #1
  },
  text sf/.style  = {
    /siunitx/font/units/text sf = #1,
    /siunitx/font/numbers/text sf = #1
  },
  text tt/.style  = {
    /siunitx/font/units/text tt = #1,
    /siunitx/font/numbers/text tt = #1
  },
  /siunitx/font/units,
  maths rm/.store in = {\si@font@unit@maths@rm},
  maths sf/.store in = {\si@font@unit@maths@sf},
  maths tt/.store in = {\si@font@unit@maths@tt},
  maths rm/.store in = {\si@font@unit@maths@rm},
  maths sf/.store in = {\si@font@unit@maths@sf},
  maths tt/.store in = {\si@font@unit@maths@tt},
  mode/.is choice,
  mode/.cd,
    maths/.code = {\si@bool@false\si@font@unit@textmode@bool},
    math/.code  = {\si@bool@false\si@font@unit@textmode@bool},
    text/.code  = {\si@bool@true\si@font@unit@textmode@bool},
  /siunitx/font/units,
  text rm/.store in  = {\si@font@unit@text@rm},
  text sf/.store in  = {\si@font@unit@text@sf},
  text tt/.store in  = {\si@font@unit@text@tt},
  /siunitx/font/numbers,
  maths rm/.store in = {\si@font@num@maths@rm},
  maths sf/.store in = {\si@font@num@maths@sf},
  maths tt/.store in = {\si@font@num@maths@tt},
  maths rm/.store in = {\si@font@num@maths@rm},
  maths sf/.store in = {\si@font@num@maths@sf},
  maths tt/.store in = {\si@font@num@maths@tt},
  mode/.is choice,
  mode/.cd,
    maths/.code = {\si@bool@false\si@font@num@textmode@bool},
    math/.code  = {\si@bool@false\si@font@num@textmode@bool},
    text/.code  = {\si@bool@true\si@font@num@textmode@bool},
  /siunitx/font/numbers,
  text rm/.store in  = {\si@font@num@text@rm},
  text sf/.store in  = {\si@font@num@text@sf},
  text tt/.store in  = {\si@font@num@text@tt},
  /siunitx/font,
  maths rm = \mathrm,
  maths sf = \mathsf,
  maths tt = \mathtt,
  mode     = maths,
  text rm  = \rmfamily,
  text sf  = \sffamily,
  text tt  = \ttfamily
}
\newcommand*{\si@print@type}{}
\newcommand*{\si@print}[2]{%
  \begingroup
    \def\si@print@type{#1}%
    \si@bool@if@F\si@font@set@bool{%
      \si@font@det@set
    }%
    \si@bool@if@F\si@font@det@mode@bool{%
      \si@bool@cs@if@TF{si@font@#1@textmode@bool}{%
        \si@bool@true\si@font@set@text@bool
      }{%
        \si@bool@false\si@font@set@text@bool
      }%
    }%
    \si@print@codes
    \text{\si@print@print{#2}}%
  \endgroup
  \check@mathfonts
}
\newcommand*{\si@print@num}{%
  \si@print{num}%
}
\newcommand*{\si@print@num@o}[1]{%
  \expandafter\si@print@num\expandafter{#1}%
}
\newcommand*{\si@print@unit}{%
  \si@print{unit}%
}
\newcommand*{\si@print@unit@o}[1]{%
  \expandafter\si@print@unit\expandafter{#1}%
}
\si@catcode@set{45}{13}% -
\si@catcode@set{94}{13}% ^
\si@catcode@set{95}{13}% _
\newcommand*{\si@print@codes}{%
  \si@catcode@symbols
  \si@catcode@set{94}{13}% ^
  \si@catcode@set{95}{13}% _
  \everyeof{\noexpand}%
  \endlinechar\m@ne\relax
  \si@bool@if@TF\si@font@set@text@bool{%
    \si@catcode@set{45}{13}% -
    \let-\si@print@minus
    \let_\si@print@sb
    \let^\si@print@sp
    \let\textsubscript\si@print@sb
    \let\textsuperscript\si@print@sp
  }{%
    \si@catcode@set{45}{12}% -
    \let_\sb
    \let^\sp
    \let\textsubscript\sb
    \let\textsuperscript\sp
  }%
}
\si@catcode@set{45}{12}% -
\si@catcode@set{94}{7}% ^
\si@catcode@set{95}{8}% _
\newcommand*{\si@print@maths}[1]{%
  \ensuremath{%
    \@nameuse{si@font@\si@print@type @maths@\si@font@set@family}{#1}%
  }%
}
\newcommand*{\si@print@text}[1]{#1}
\newcommand*{\si@print@print}[1]{%
  \si@font@set@bold
  \si@font@set@italic
  \@nameuse{si@font@\si@print@type @text@\si@font@set@family}%
  \si@bool@if@TF\si@font@set@text@bool{%
    \si@print@text{\scantokens{#1}}%
  }{%
    \si@print@maths{\scantokens{#1}}%
  }%
}
\newcommand*{\si@print@minus}{%
  \text{\si@print@minus@symbol}%
}
\DeclareTextSymbolDefault{\si@print@minus@symbol}{TS1}
\DeclareTextSymbol{\si@print@minus@symbol}{TS1}{61}
\newcommand*{\si@print@sb}[1]{%
  \ensuremath{_{\text{#1}}}%
}
\newcommand*{\si@print@sp}[1]{%
  \ensuremath{^{\text{#1}}}%
}
\newcommand*{\si@num@pre@product}{}
\newcommand*{\si@num@pre@quotient}{}
\newcommand*{\si@num@pre@tokens}{}
\si@keys@family{numbers/input}
\pgfkeys{
  /siunitx/numbers/input,
  product/.store in        = {\si@num@pre@product},
  quotient/.store in       = {\si@num@pre@quotient},
  protect tokens/.store in = {\si@num@pre@tokens},
  product          = x,
  quotient         = /,
  protect tokens   = \mp\pi\pm
}
\newcommand*{\si@num@pre@arg}{}
\newcommand*{\si@num@pre@arg@den}{}
\newcommand*{\si@num@pre@arg@held}{}
\newcommand*{\si@num@pre@arg@num}{}
\si@bool@new\si@num@pre@error@bool
\newcommand*{\si@num@pre@process}[1]{%
  \si@num@pre@init
  \begingroup
    \si@num@pre@protect@tokens
    \protected@edef\@tempa{#1}%
  \expandafter\endgroup\expandafter
  \def\expandafter\si@num@pre@arg\expandafter{\@tempa}%
  \si@num@pre@sep@prod
  \si@num@pre@sep@quot
}
\newcommand*{\si@num@pre@error}{%
  \si@bool@true\si@num@pre@error@bool
  \si@log@error
}
\newcommand*{\si@num@pre@init}{%
  \si@clear@macro\si@num@pre@arg
  \si@clear@macro\si@num@pre@arg@den
  \si@clear@macro\si@num@pre@arg@held
  \si@clear@macro\si@num@pre@arg@num
  \si@bool@false\si@num@pre@error@bool
}
\newcommand*{\si@num@pre@protect@tokens}{%
  \si@loop@over@macro\si@num@pre@tokens\si@num@pre@protect@tokens@aux
}
\newcommand*{\si@num@pre@protect@tokens@aux}[1]{%
  \let#1\relax
}
\newcommand*{\si@num@pre@sep@prod}{%
  \si@loop@over@macro\si@num@pre@product\si@num@pre@sep@prod@aux
}
\newcommand*{\si@num@pre@sep@prod@aux}[1]{%
  \si@in@if@T\si@num@pre@arg{#1}{%
    \def\si@tempa##1#1##2\si@stop{%
      \def\si@num@pre@arg{##1}%
      \def\si@num@pre@arg@held{##2}%
    }%
    \expandafter\si@tempa\si@num@pre@arg\si@stop
    \si@empty@if@T\si@num@pre@arg{%
      \si@num@pre@error{Misplaced product token}{%
        A number cannot begin with a product token.
      }%
    }%
    \si@empty@if@T\si@num@pre@arg@held{%
      \si@num@pre@error{Misplaced product token}{%
        A number cannot end with a product token.
      }%
    }%
    \si@loop@exit
  }%
}
\newcommand*{\si@num@pre@sep@quot}{%
  \si@loop@over@macro\si@num@pre@quotient\si@num@pre@sep@quot@aux
}
\newcommand*{\si@num@pre@sep@quot@aux}[1]{%
  \si@in@if@T\si@num@pre@arg{#1}{%
    \def\si@tempa##1#1##2\si@stop{%
      \def\si@num@pre@arg@num{##1}%
      \def\si@num@pre@arg@den{##2}%
    }%
    \expandafter\si@tempa\si@num@pre@arg\si@stop
    \si@empty@if@T\si@num@pre@arg@num{%
      \si@num@pre@error{Misplaced quotient token}{%
        A number cannot begin with a quotient token.
      }%
    }%
    \si@empty@if@T\si@num@pre@arg@den{%
      \si@num@pre@error{Misplaced quotient token}{%
        A number cannot end with a quotient token.
      }%
    }%
    \si@in@if@T\si@num@pre@arg@den{#1}{%
      \si@num@pre@error{Duplicate quotient token}{%
        Only one quotient token can appear in a single number.
      }%
    }%
    \si@loop@exit
  }%
}
\newcommand*{\si@num@in@uncert@close}{}
\newcommand*{\si@num@in@complex}{}
\newcommand*{\si@num@in@decimal}{}
\newcommand*{\si@num@in@digits}{}
\newcommand*{\si@num@in@exponent}{}
\newcommand*{\si@num@in@signs}{}
\newcommand*{\si@num@in@symbols}{}
\pgfkeys{
  /siunitx/numbers/input,
  close uncertainty/.store in = {\si@num@in@uncert@close},
  complex roots/.store in     = {\si@num@in@complex},
  decimal markers/.store in   = {\si@num@in@decimal},
  digits/.store in            = {\si@num@in@digits},
  exponent markers/.store in  = {\si@num@in@exponent},
  ignore/.store in            = {\si@num@in@ignore},
  open uncertainty/.store in  = {\si@num@in@uncert@open},
  signs/.store in             = {\si@num@in@signs},
  symbols/.store in           = {\si@num@in@symbols}, %(
  close uncertainty = ),
  complex roots     = ij,
  decimal markers   = {.,},
  digits            = 0123456789,
  exponent markers  = dDeE,
  ignore            = {},
  open uncertainty  = (, %)
  signs             = +-\mp\pm,
  symbols           = \pi
}
\newcommand*{\si@num@in@mant}{}
\newcommand*{\si@num@in@mant@sign}{}
\newcommand*{\si@num@in@mant@int}{}
\newcommand*{\si@num@in@mant@dec}{}
\newcommand*{\si@num@in@mant@uncert}{}
\newcommand*{\si@num@in@mant@uncert@int}{}
\newcommand*{\si@num@in@mant@uncert@dec}{}
\newcommand*{\si@num@in@mant@comp}{}
\newcommand*{\si@num@in@mant@comp@sign}{}
\newcommand*{\si@num@in@mant@comp@int}{}
\newcommand*{\si@num@in@mant@comp@dec}{}
\newcommand*{\si@num@in@mant@comp@uncert}{}
\newcommand*{\si@num@in@mant@comp@uncert@int}{}
\newcommand*{\si@num@in@mant@comp@uncert@dec}{}
\newcommand*{\si@num@in@exp}{}
\newcommand*{\si@num@in@exp@sign}{}
\newcommand*{\si@num@in@exp@int}{}
\newcommand*{\si@num@in@exp@dec}{}
\newcommand*{\si@num@in@exp@uncert}{}
\newcommand*{\si@num@in@exp@uncert@int}{}
\newcommand*{\si@num@in@exp@uncert@dec}{}
\newcommand*{\si@num@in@exp@comp}{}
\newcommand*{\si@num@in@exp@comp@sign}{}
\newcommand*{\si@num@in@exp@comp@int}{}
\newcommand*{\si@num@in@exp@comp@dec}{}
\newcommand*{\si@num@in@exp@comp@uncert}{}
\newcommand*{\si@num@in@exp@comp@uncert@int}{}
\newcommand*{\si@num@in@exp@comp@uncert@dec}{}
\si@bool@new\si@num@in@mant@bool
\si@bool@new\si@num@in@mant@dec@bool
\si@bool@new\si@num@in@mant@uncert@dec@bool
\si@bool@new\si@num@in@mant@comp@bool
\si@bool@new\si@num@in@mant@comp@dec@bool
\si@bool@new\si@num@in@mant@comp@uncert@dec@bool
\si@bool@new\si@num@in@exp@bool
\si@bool@new\si@num@in@exp@dec@bool
\si@bool@new\si@num@in@exp@uncert@dec@bool
\si@bool@new\si@num@in@exp@comp@bool
\si@bool@new\si@num@in@exp@comp@dec@bool
\si@bool@new\si@num@in@exp@comp@uncert@dec@bool
\si@bool@new\si@num@in@symbols@bool
\newcommand*{\si@num@in@arg}{}
\si@bool@new\si@num@in@error@bool
\newcommand*{\si@num@in@parse}[1]{%
  \si@num@in@init
  \si@num@in@rescan{#1}%
  \si@empty@if@TF\si@num@in@arg{%
    \si@bool@true\si@num@in@error@bool
  }{%
    \si@num@in@arg@loop
    \si@num@in@try{\si@num@in@separate}%
    \si@num@in@try{\si@num@in@finalise}%
  }%
}
\newcommand*{\si@num@in@parse@o}[1]{%
  \expandafter\si@num@in@parse\expandafter{#1}%
}
\newcommand*{\si@num@in@add}[1]{%
  \si@add@right@cs@n{si@num@in@#1}%
}
\newcommand*{\si@num@in@arg@loop}{%
  \si@expand@tlist\si@tempa{%
    \si@num@in@signs
    \si@num@in@ignore
    \si@num@in@digits
    \si@num@in@decimal
    \si@num@in@exponent
    \si@num@in@complex
    \si@num@in@symbols
    \si@num@in@uncert@open
    \si@num@in@uncert@close
  }%
  \si@clear@macro\si@tempb
  \si@loop@over@macro\si@num@in@arg\si@num@in@arg@loop@aux
  \si@num@in@try{\let\si@num@in@arg\si@tempb}%
}
\newcommand*{\si@num@in@arg@loop@aux}[1]{%
  \si@in@if@F\si@tempa{#1}{%
    \si@num@in@throw{Invalid token `#1' in numerical input}{%
      Only the tokens: \MessageBreak
      \si@tempa \MessageBreak
      are valid for numerical input.
    }%
    \si@loop@exit
  }%
  \si@in@if@F\si@num@in@ignore{#1}{%
    \si@add@right@n\si@tempb{#1}%
  }%
  \si@in@if@T\si@num@in@symbols{#1}{%
    \si@bool@true\si@num@in@symbols@bool
  }%
}
\newcommand*{\si@num@in@finalise}{%
  \si@num@in@final@check
  \si@num@in@try{\si@num@in@final@tidy}%
}
\newcommand*{\si@num@in@final@check}{%
  \si@bool@true\si@num@in@mant@bool
  \si@empty@if@T\si@num@in@mant@dec{%
    \si@empty@if@T\si@num@in@mant@int{%
      \si@bool@false\si@num@in@mant@bool
      \si@empty@if@F\si@num@in@mant@uncert{%
        \si@num@in@throw{Uncertainty but no number}{%
          The mantissa contains only an uncertainty.
        }%
      }%
    }%
  }%
  \si@bool@if@T\si@num@in@mant@comp@bool{%
    \si@empty@if@T\si@num@in@mant@comp@dec{%
      \si@empty@if@T\si@num@in@mant@comp@int{%
        \si@empty@if@F\si@num@in@mant@comp@uncert{%
          \si@num@in@throw{Uncertainty but no number}{%
            The complex mantissa contains only an uncertainty.
          }%
        }%
      }%
    }%
  }%
  \si@bool@true\si@num@in@exp@bool
  \si@empty@if@T\si@num@in@exp@dec{%
    \si@empty@if@T\si@num@in@exp@int{%
      \si@bool@false\si@num@in@exp@bool
      \si@empty@if@F\si@num@in@exp@uncert{%
        \si@num@in@throw{Uncertainty but no number}{%
          The exponent contains only an uncertainty.
        }%
      }%
      \si@empty@if@F\si@num@in@exp@sign{%
        \si@num@in@throw{Sign but no exponent}{%
          The exponent contains only a sign.
        }%
      }%
    }%
  }%
  \si@bool@if@T\si@num@in@exp@comp@bool{%
    \si@empty@if@T\si@num@in@exp@comp@dec{%
      \si@empty@if@T\si@num@in@exp@comp@int{%
        \si@empty@if@F\si@num@in@exp@comp@uncert{%
          \si@num@in@throw{Uncertainty but no number}{%
            The complex exponent contains only an uncertainty.
          }%
        }%
      }%
    }%
  }%
  \si@bool@if@F\si@num@in@mant@bool{%
    \si@bool@if@F\si@num@in@mant@comp@bool{%
      \si@bool@if@F\si@num@in@exp@bool{%
        \si@bool@if@F\si@num@in@exp@comp@bool{%
          \si@num@in@throw{Empty numerical argument}{%
            The given `number' contains no information.
           }%
        }%
      }%
    }%
  }%
}
\newcommand*{\si@num@in@final@tidy}{%
  \si@num@in@final@tidy@aux{mant}%
  \si@num@in@final@tidy@aux{exp}%
}
\newcommand*{\si@num@in@final@tidy@aux}[1]{%
  \si@num@in@remove@zeros{#1}%
  \si@num@in@remove@zeros{#1@comp}%
  \si@num@in@zero@sign{#1}%
}
\newcommand*{\si@num@in@init}{%
  \si@bool@false\si@num@in@error@bool
  \si@bool@false\si@num@in@symbols@bool
  \si@loop@over@macro\si@num@in@init@names\si@num@in@init@aux
  \si@bool@false\si@num@in@mant@bool
  \si@bool@false\si@num@in@mant@dec@bool
  \si@bool@false\si@num@in@mant@uncert@dec@bool
  \si@bool@false\si@num@in@mant@comp@bool
  \si@bool@false\si@num@in@mant@comp@dec@bool
  \si@bool@false\si@num@in@mant@comp@uncert@dec@bool
  \si@bool@false\si@num@in@exp@bool
  \si@bool@false\si@num@in@exp@dec@bool
  \si@bool@false\si@num@in@exp@uncert@dec@bool
  \si@bool@false\si@num@in@exp@comp@bool
  \si@bool@false\si@num@in@exp@comp@dec@bool
  \si@bool@false\si@num@in@exp@comp@uncert@dec@bool
}
\newcommand*{\si@num@in@init@aux}[1]{%
  \si@clear@cs{si@num@in@#1}%
}
\newcommand*{\si@num@in@init@names}{%
  {mant}%
  {mant@sign}%
  {mant@int}%
  {mant@dec}%
  {mant@uncert}%
  {mant@uncert@int}%
  {mant@uncert@dec}%
  {mant@comp}%
  {mant@comp@sign}%
  {mant@comp@int}%
  {mant@comp@dec}%
  {mant@comp@uncert}%
  {mant@comp@uncert@int}%
  {mant@comp@uncert@dec}%
  {exp}%
  {exp@sign}%
  {exp@int}%
  {exp@dec}%
  {exp@uncert}%
  {exp@uncert@int}%
  {exp@uncert@dec}%
  {exp@comp}%
  {exp@comp@sign}%
  {exp@comp@int}%
  {exp@comp@dec}%
  {exp@comp@uncert}%
  {exp@comp@uncert@int}%
  {exp@comp@uncert@dec}%
}
\newcommand*{\si@num@in@protect@tokens}{}
\let\si@num@in@protect@tokens\si@num@pre@protect@tokens
\newcommand*{\si@num@in@remove@zeros}[1]{%
  \si@in@cs@if@T{si@num@in@#1@int}{0}{%
    \def\si@tempa##10##2\si@stop{%
      \si@empty@tlist@if@TF{##1}{%
        \si@in@tlist@if@TF{##2}{0}{%
          \si@tempa##2\si@stop
        }{%
          \@namedef{si@num@in@#1@int}{##2}%
        }%
      }{%
        \@namedef{si@num@in@#1@int}{##10##2}%
      }%
    }%
    \si@let@Nc\si@tempb{si@num@in@#1@int}%
    \expandafter\si@tempa\si@tempb\si@stop
    \si@empty@cs@if@T{si@num@in@#1@int}{%
      \@namedef{si@num@in@#1@int}{0}%
    }%
  }%
}
\newcommand*{\si@num@in@rescan}[1]{%
  \begingroup
    \si@catcode@symbols
    \si@catcode@set{9}{9}%   tab ignored
    \si@catcode@set{32}{9}%  space ignored
    \si@catcode@set{126}{9}% tilde ignored
    \everyeof{\noexpand}%
    \si@clear@macro{\,}%
    \si@num@in@protect@tokens
    \protected@edef\@tempa{\scantokens{#1}}%
  \expandafter\endgroup\expandafter
  \def\expandafter\si@num@in@arg\expandafter{\@tempa}%
}
\newcommand*{\si@num@in@separate}{%
  \si@num@in@try{\si@num@in@sep@exp}%
  \si@num@in@separate@aux{mant}%
  \si@num@in@separate@aux{exp}%
}
\newcommand*{\si@num@in@separate@aux}[1]{%
  \si@num@in@try{\si@num@in@sep@sign{#1}}%
  \si@num@in@try{\si@num@in@sep@comp{#1}}%
  \si@num@in@try{\si@num@in@sep@dec{#1}}%
  \si@num@in@try{\si@num@in@sep@dec@comp{#1}}%
  \si@num@in@try{\si@num@in@sep@uncert{#1}}%
  \si@num@in@try{\si@num@in@sep@uncert{#1@comp}}%
}
\newcommand*{\si@num@in@sep@comp}[1]{%
  \si@empty@cs@if@F{si@num@in@#1}{%
    \si@empty@if@F\si@num@in@complex{%
      \si@let@Nc\si@tempa{si@num@in@#1}%
      \si@bool@false\si@tmp@bool
      \si@loop@over@macro\si@num@in@complex\si@num@in@sep@comp@aux@i
      \si@num@in@try{\si@num@in@sep@comp@aux@ii{#1}}%
      \si@num@in@try{\si@num@in@sep@comp@aux@iii{#1}}%
    }%
  }%
}
\newcommand*{\si@num@in@sep@comp@aux@i}[1]{%
  \def\si@tempb##1#1##2##3\si@stop{%
    \si@no@value@if@F{##2}{%
      \si@no@value@if@TF{##3}{%
        \si@bool@true\si@tmp@bool
        \def\si@tempa{##1}%
        \si@loop@exit
      }{%
        \si@num@in@throw{Misplaced complex root}{%
          The complex root token `#1' can only come at \MessageBreak
          the end of a number.
        }%
        \si@loop@exit
      }%
    }%
  }%
  \expandafter\si@tempb\si@tempa#1\si@no@value\si@stop
}
\newcommand*{\si@num@in@sep@comp@aux@ii}[1]{%
  \si@let@cN{si@num@in@#1@comp@bool}\si@tmp@bool
  \si@let@cN{si@num@in@#1}\si@tempa
  \si@bool@if@T\si@tmp@bool{%
    \si@empty@if@F\si@tempa{%
      \def\si@tempb##1{%
        \si@in@if@TF\si@num@in@signs{##1}{%
          \si@bool@if@TF\si@tmp@bool{%
            \si@num@in@throw{Duplicate sign found}{%
              Only a single sign can be given \MessageBreak
              in the complex part of a number.
            }%
            \si@loop@exit
          }{%
            \si@num@in@add{#1@comp@sign}{##1}%
            \si@bool@true\si@tmp@bool
          }%
        }{%
          \si@bool@if@TF\si@tmp@bool{%
            \si@num@in@add{#1@comp}{##1}%
          }{%
            \si@num@in@add{#1}{##1}%
          }%
        }%
      }%
      \si@bool@false\si@tmp@bool
      \si@clear@cs{si@num@in@#1}%
      \si@loop@over@macro\si@tempa\si@tempb
    }%
  }%
}
\newcommand*{\si@num@in@sep@comp@aux@iii}[1]{%
  \si@bool@cs@if@TF{si@num@in@#1@comp@bool}{%
    \si@bool@if@F\si@tmp@bool{%
      \si@let@cc{si@num@in@#1@comp@sign}{si@num@in@#1@sign}%
      \si@clear@cs{si@num@in@#1@sign}%
      \si@let@cc{si@num@in@#1@comp}{si@num@in@#1}%
      \si@clear@cs{si@num@in@#1}%
    }%
  }{%
    \expandafter\si@loop@over@macro\csname si@num@in@#1\endcsname
      \si@num@in@sep@aux@iv
  }%
}
\newcommand*{\si@num@in@sep@aux@iv}[1]{%
  \si@in@if@T\si@num@in@signs{#1}{%
    \si@num@in@throw{Duplicate sign found}{%
      Only a single sign can be given \MessageBreak
      in the real part of a number.
    }%
    \si@loop@exit
  }%
}
\newcommand*{\si@num@in@sep@dec}[1]{%
  \si@empty@cs@if@F{si@num@in@#1}{%
    \si@num@in@sep@dec@aux@i{#1}%
  }%
}
\newcommand*{\si@num@in@sep@dec@comp}[1]{%
  \si@bool@cs@if@T{si@num@in@#1@comp@bool}{%
    \si@empty@cs@if@TF{si@num@in@#1@comp}{%
      \si@let@cc{si@num@in@#1@comp@int}{si@num@in@#1@comp}%
      \si@let@cN{si@num@in@#1@comp}%
    }{%
      \si@num@in@sep@dec@aux@i{#1@comp}%
    }%
  }%
}
\newcommand*{\si@num@in@sep@dec@aux@i}[1]{%
  \si@let@Nc\si@tempa{si@num@in@#1}%
  \si@clear@macro\si@tempb
  \si@bool@false\si@tmp@bool
  \si@clear@cs{si@num@in@#1}%
  \si@loop@over@macro\si@num@in@decimal\si@num@in@sep@dec@aux@ii
  \si@num@in@try{\si@let@cN{si@num@in@#1@int}\si@tempa}%
  \si@num@in@try{\si@let@cN{si@num@in@#1@dec}\si@tempb}%
  \si@num@in@try{\si@let@cN{si@num@in@#1@dec@bool}\si@tmp@bool}%
}
\newcommand*{\si@num@in@sep@dec@aux@ii}[1]{%
  \si@in@if@T\si@tempa{#1}{%
    \si@bool@true\si@tmp@bool
    \def\si@tempb##1#1##2\si@stop{%
      \def\si@tempa{##1}%
      \def\si@tempb{##2}%
    }%
    \expandafter\si@tempb\si@tempa\si@stop
    \si@in@if@T\si@tempb{#1}{%
      \si@num@in@throw{Duplicate decimal token found}{%
        Only a single decimal marker token can be given \MessageBreak
        in numerical input.
      }%
    }%
    \si@loop@exit
  }%
}
\newcommand*{\si@num@in@sep@exp}{%
  \let\si@num@in@mant\si@num@in@arg
  \si@loop@over@macro\si@num@in@exponent\si@num@in@sep@exp@aux
}
\newcommand*{\si@num@in@sep@exp@aux}[1]{%
  \si@in@if@T\si@num@in@arg{#1}{%
    \def\si@tempa##1#1##2\si@stop{%
      \def\si@num@in@mant{##1}%
      \def\si@num@in@exp{##2}%
    }%
    \expandafter\si@tempa\si@num@in@arg\si@stop
    \si@in@if@T\si@num@in@exp{#1}{%
      \si@num@in@throw{Duplicate exponent token found}{%
        Only a single exponent marker token can be given \MessageBreak
        in numerical input.
      }%
    }%
    \si@loop@exit
  }%
}
\newcommand*{\si@num@in@sep@sign}[1]{%
  \si@empty@cs@if@F{si@num@in@#1}{%
    \si@replace@all@in@cs{si@num@in@#1}{-+}{\mp}%
    \si@replace@all@in@cs{si@num@in@#1}{+-}{\pm}%
    \expandafter\expandafter\expandafter\si@num@in@sep@sign@aux
      \csname si@num@in@#1\endcsname\si@stop{#1}%
  }%
}
\newcommand*{\si@num@in@sep@sign@aux}{}
\def\si@num@in@sep@sign@aux#1#2\si@stop#3{%
  \si@in@if@TF\si@num@in@signs{#1}{%
    \@namedef{si@num@in@#3@sign}{#1}%
    \@namedef{si@num@in@#3}{#2}%
  }{%
    \@namedef{si@num@in@#3}{#1#2}%
  }%
}
\newcommand*{\si@num@in@sep@uncert}[1]{%
  \si@empty@cs@if@TF{si@num@in@#1@dec}{%
    \si@empty@cs@if@F{si@num@in@#1@int}{%
      \si@num@in@sep@uncert@aux@i{#1}{int}%
    }%
  }{%
    \si@num@in@sep@uncert@aux@i{#1}{dec}%
    \si@num@in@sep@uncert@check@int{#1}%
  }%
}
\newcommand*{\si@num@in@sep@uncert@aux@i}[2]{%
  \si@let@Nc\si@tempa{si@num@in@#1@#2}%
  \si@loop@over@macro\si@num@in@uncert@close\si@num@in@sep@uncert@aux@ii
  \si@num@in@try{\si@num@in@sep@uncert@aux@iii{#1}{#2}}%
}
\newcommand*{\si@num@in@sep@uncert@aux@ii}[1]{%
  \def\si@tempb##1#1##2##3\si@stop{%
    \si@no@value@if@F{##2}{%
      \si@no@value@if@TF{##3}{%
        \si@bool@true\si@tmp@bool
        \def\si@tempa{##1}%
        \si@loop@exit
      }{%
        \si@num@in@throw{Misplaced closing uncertainty token}{%
          The closing uncertainty token `#1' can only \MessageBreak
          come at the end of a number.
        }%
        \si@loop@exit
      }%
    }%
  }%
  \si@bool@false\si@tmp@bool
  \expandafter\si@tempb\si@tempa#1\si@no@value\si@stop
  \si@bool@if@T\si@tmp@bool{%
    \si@loop@exit
  }%
}
\newcommand*{\si@num@in@sep@uncert@aux@iii}[2]{%
  \si@bool@if@TF\si@tmp@bool{%
    \si@bool@false\si@tmp@bool
    \si@loop@over@macro\si@num@in@uncert@open
      \si@num@in@sep@uncert@aux@iv
    \si@num@in@try{\si@num@in@sep@uncert@aux@v{#1}{#2}}%
  }{%
    \si@loop@over@macro\si@num@in@uncert@open
      \si@num@in@sep@uncert@aux@vi
  }%
}
\newcommand*{\si@num@in@sep@uncert@aux@iv}[1]{%
  \si@in@if@T\si@tempa{#1}{%
    \si@bool@true\si@tmp@bool
    \def\si@tempb##1#1##2\si@stop{%
      \def\si@tempa{##1}%
      \def\si@tempb{##2}%
    }%
    \expandafter\si@tempb\si@tempa\si@stop
    \si@in@if@T\si@tempb{#1}{%
      \si@num@in@throw{Duplicate opening uncertainty token found}{%
        Only a single opening uncertainty token can be \MessageBreak
        given in numerical input.
      }%
    }%
    \si@loop@exit
  }%
}
\newcommand*{\si@num@in@sep@uncert@aux@v}[2]{%
  \si@bool@if@TF\si@tmp@bool{%
    \si@let@cN{si@num@in@#1@#2}\si@tempa
    \si@let@cN{si@num@in@#1@uncert}\si@tempb
    \si@empty@if@T\si@tempb{%
      \si@num@in@throw{Empty uncertainty given}{%
        The number given contains an empty uncertainty.
      }%
    }%
  }{%
    \si@num@in@throw{%
      Closing uncertainty token without matching opening%
    }{%
      The final token of a the number is a closing \MessageBreak
      uncertainty token, but no opening token was found \MessageBreak
      in this part of the number.
    }%
  }%
}
\newcommand*{\si@num@in@sep@uncert@aux@vi}[1]{%
  \si@in@if@T\si@tempa{#1}{%
    \si@num@in@throw{%
      Opening uncertainty token without matching closing%
    }{%
      The opening uncertainty token `#1' was found with no \MessageBreak
      matching closing token.
    }%
    \si@loop@exit
  }%
}
\newcommand*{\si@num@in@sep@uncert@check@int}[1]{%
  \def\si@num@in@sep@uncert@check@int@aux##1{%
    \si@in@cs@if@T{si@num@in@#1@int}{##1}{%
      \si@num@in@throw{Uncertainty in integer part}{%
        The opening uncertainty token `##1' was found in the
        \MessageBreak integer part of the input, but a decimal part
        was also given.
      }%
      \si@loop@exit
    }%
  }%
  \si@loop@over@macro\si@num@in@uncert@open
    \si@num@in@sep@uncert@check@int@aux
  \si@loop@over@macro\si@num@in@uncert@close
    \si@num@in@sep@uncert@check@int@aux
}
\newcommand*{\si@num@in@throw}{%
  \si@bool@true\si@num@in@error@bool
  \si@log@error
}
\newcommand*{\si@num@in@try}{%
  \si@bool@if@F\si@num@in@error@bool
}
\newcommand*{\si@num@in@zero@sign}[1]{%
  \si@bool@cs@if@TF{si@num@in@#1@bool}{%
    \si@num@in@zero@sign@aux@i{#1}%
  }{%
    \si@num@in@zero@sign@aux@i{#1@comp}%
  }%
}
\newcommand*{\si@num@in@zero@sign@aux@i}[1]{%
  \si@empty@cs@if@TF{si@num@in@#1@int}{%
    \si@num@in@zero@sign@aux@ii{#1}%
  }{%
    \def\si@tempa{0}%
    \si@meaning@eq@cs@if@T{si@tempa}{si@num@in@#1@int}{%
      \si@num@in@zero@sign@aux@ii{#1}%
    }%
  }%
}
\newcommand*{\si@num@in@zero@sign@aux@ii}[1]{%
  \si@empty@cs@if@TF{si@num@in@#1@dec}{%
    \si@clear@cs{si@num@in@#1@sign}%
  }{%
    \def\si@tempa{0}%
    \def\si@tempb##1{%
      \si@in@if@F\si@tempa{##1}{%
        \si@bool@false\si@tmp@bool
      }%
    }%
    \si@bool@true\si@tmp@bool
    \si@loop@over@cs{si@num@in@#1@dec}\si@tempb
    \si@bool@if@T\si@tmp@bool{%
      \si@clear@cs{si@num@in@#1@sign}%
    }%
  }%
}
\newcommand*{\si@num@post@sign@token}{}
\si@bool@new\si@num@post@plus@bool
\si@bool@new\si@num@post@rnd@figures@bool
\si@bool@new\si@num@post@rnd@places@bool
\si@bool@new\si@num@post@sign@bool
\si@bool@new\si@num@post@zero@dec@bool
\si@bool@new\si@num@post@zero@exp@bool
\si@bool@new\si@num@post@zero@int@bool
\newcount\si@num@post@figures
\newcount\si@num@post@places
\newcommand*{\si@num@post@dec}{}
\newcommand*{\si@num@post@int}{}
\si@bool@new\si@num@post@carry@bool
\si@bool@new\si@num@post@sig@bool
\newcommand*{\si@num@post@rnd@tens}{}
\newcount\si@num@post@rnd@cnt
\newcount\si@num@post@dec@cnt
\newcount\si@num@post@uncert@cnt
\newcommand*{\si@num@post@rnd@check}[2]{%
  \@nameuse{si@num@post@#1}#2\relax
  \expandafter\ifnum\csname si@num@post@#1\endcsname<\z@\relax
    \si@log@error{Invalid input for rounding digits}{%
      The input for option 'numbers/process/round #1' \MessageBreak
      must be a positive integer.
    }%
  \fi
}
\si@keys@family{numbers/process}
\pgfkeys{
  /siunitx/numbers/process,
  add zero decimal/.is siunitx switch      = {num@post@zero@dec},
  add zero integer/.is siunitx switch      = {num@post@zero@int},
  explicit sign/.store in                  = {\si@num@post@sign@token},
  include explicit sign/.is siunitx switch = {num@post@sign},
  retain explicit plus/.is siunitx switch  = {num@post@plus},
  retain zero exponent/.is siunitx switch  = {num@post@zero@exp},
  round mode/.is choice,
  round mode/.cd,
    figures/.code = {%
      \si@bool@true\si@num@post@rnd@figures@bool
      \si@bool@false\si@num@post@rnd@places@bool
    },
    off/.code     = {%
      \si@bool@false\si@num@post@rnd@figures@bool
      \si@bool@false\si@num@post@rnd@places@bool
    },
    places/.code  = {%
      \si@bool@false\si@num@post@rnd@figures@bool
      \si@bool@true\si@num@post@rnd@places@bool
    },
  /siunitx/numbers/process,
  round figures/.code = {\si@num@post@rnd@check{figures}{#1}},
  round places/.code  = {\si@num@post@rnd@check{places}{#1}},
  add zero decimal      = true,
  add zero integer      = true,
  explicit sign         = +,
  include explicit sign = false,
  retain explicit plus  = false,
  retain zero exponent  = false,
  round mode            = off,
  round figures         = 2,
  round places          = 2
}
\newcommand*{\si@num@post@process}{%
  \si@num@post@sign
  \si@num@post@zero@fill
  \si@num@post@exponent
  \si@bool@if@F\si@num@in@symbols@bool{%
    \si@num@post@round
    \si@bool@if@F\si@num@post@rnd@figures@bool{%
      \si@bool@if@F\si@num@post@rnd@places@bool{%
        \si@num@post@uncert
      }%
    }%
  }%
}
\newcommand*{\si@num@post@add@sign}[1]{%
  \si@bool@cs@if@TF{si@num@in@#1@bool}{%
    \si@num@post@add@sign@aux{#1}%
  }{%
    \si@bool@cs@if@T{si@num@in@#1@comp@bool}{%
      \si@num@post@add@sign@aux{#1@comp}%
    }%
  }%
}
\newcommand*{\si@num@post@add@sign@aux}[1]{%
  \si@empty@cs@if@T{si@num@in@#1@sign}{%
    \@namedef{si@num@in@#1@sign}{\si@num@post@sign@token}%
  }%
}
\newcommand*{\si@num@post@exponent}{%
  \si@bool@if@F\si@num@post@zero@exp@bool{%
    \si@expand@tlist\si@tempa{%
      \si@num@in@exp@int
      \si@num@in@exp@dec
      \si@num@in@exp@comp@int
      \si@num@in@exp@comp@dec
    }%
    \si@in@if@T\si@tempa{0}{%
      \def\si@tempb##10000##2\si@stop{%
        \si@empty@tlist@if@T{##1}{%
          \def\si@num@in@exp@int{}%
          \def\si@num@in@exp@dec{}%
          \def\si@num@in@exp@comp@int{}%
          \def\si@num@in@exp@comp@dec{}%
          \si@bool@false\si@num@in@exp@bool
          \si@bool@false\si@num@in@exp@comp@bool
        }%
      }%
      \expandafter\si@tempb\si@tempa0000\si@stop
    }%
  }%
}
\newcommand*{\si@num@post@plus}[1]{%
  \si@bool@cs@if@TF{si@num@in@#1@bool}{%
    \si@num@post@plus@aux{#1}%
  }{%
    \si@bool@cs@if@T{si@num@in@#1@comp@bool}{%
      \si@num@post@plus@aux{#1@comp}%
    }%
  }%
}
\newcommand*{\si@num@post@plus@aux}[1]{%
  \def\si@tempa{+}%
  \si@meaning@eq@cs@if@T{si@num@in@#1@sign}{si@tempa}{%
    \si@clear@cs{si@num@in@#1@sign}%
  }%
}
\newcommand*{\si@num@post@sign}{%
  \si@bool@if@F\si@num@post@plus@bool{%
    \si@num@post@plus{mant}%
    \si@num@post@plus{exp}%
  }%
  \si@bool@if@T\si@num@post@sign@bool{%
    \si@num@post@add@sign{mant}%
    \si@num@post@add@sign{exp}%
  }%
}
\newcommand*{\si@num@post@round}{%
  \si@num@post@round@aux{figures}%
  \si@num@post@round@aux{places}%
}
\newcommand*{\si@num@post@round@aux}[1]{%
  \si@bool@cs@if@T{si@num@post@rnd@#1@bool}{%
    \@nameuse{si@num@post@rnd@#1}{mant}%
    \@nameuse{si@num@post@rnd@#1}{mant@comp}%
    \@nameuse{si@num@post@rnd@#1}{exp}%
    \@nameuse{si@num@post@rnd@#1}{exp@comp}%
  }%
}
\newcommand*{\si@num@post@rnd@dec}[1]{%
  \si@num@if@F{\si@num@post@rnd@cnt>\@ne}{%
    \si@tempcnt\expandafter\@car\si@num@post@dec\@nil\relax
    \si@bool@if@T\si@num@post@carry@bool{%
      \advance\si@tempcnt\@ne\relax
    }%
    \si@bool@false\si@num@post@carry@bool
    \si@num@if@TF{\si@num@post@rnd@cnt=\@ne}{%
      \si@num@if@T{\si@tempcnt>4}{%
        \si@bool@true\si@num@post@carry@bool
      }%
    }{%
      \si@num@if@T{\si@tempcnt=10}{%
        \si@bool@true\si@num@post@carry@bool
        \si@tempcnt\z@\relax
      }%
      \si@edef@c{si@num@in@#1@dec}{%
        \the\si@tempcnt
        \@nameuse{si@num@in@#1@dec}%
      }%
    }%
  }%
  \advance\si@num@post@rnd@cnt\m@ne\relax
  \edef\si@num@post@dec{\expandafter\@cdr\si@num@post@dec\@nil}%
}
\newcommand*{\si@num@post@rnd@figures}[1]{%
  \si@num@post@rnd@cnt\z@\relax
  \si@bool@false\si@num@post@sig@bool
  \si@clear@macro\si@num@post@dec
  \si@clear@macro\si@num@post@int
  \si@whiledo@empty@cs@F{si@num@in@#1@int}{%
    \si@num@post@rnd@figures@aux@i{#1}{int}%
  }%
  \si@whiledo@empty@cs@F{si@num@in@#1@dec}{%
    \si@num@post@rnd@figures@aux@i{#1}{dec}%
  }%
  \si@bool@if@TF\si@num@post@sig@bool{%
    \si@num@if@TF{\si@num@post@rnd@cnt>\si@num@post@figures}{%
      \si@num@post@rnd@figures@aux@ii{#1}%
    }{%
      \si@num@post@rnd@figures@aux@iii{#1}%
    }%
  }{%
    \@namedef{si@num@in@#1@int}{0}%
    \si@clear@cs{si@num@in@#1@dec}%
    \si@bool@cs@false{si@num@in@#1@dec@bool}%
  }%
}
\newcommand*{\si@num@post@rnd@figures@aux@i}[2]{%
  \si@tempcnt\expandafter\expandafter\expandafter\@car
    \csname si@num@in@#1@#2\endcsname\@nil\relax
  \si@edef@c{si@num@post@#2}{%
    \the\si@tempcnt
    \@nameuse{si@num@post@#2}%
  }%
  \si@bool@if@F\si@num@post@sig@bool{%
    \si@num@if@F{\si@tempcnt=\z@}{%
      \si@bool@true\si@num@post@sig@bool
    }%
  }%
  \si@bool@if@T\si@num@post@sig@bool{%
    \advance\si@num@post@rnd@cnt\@ne\relax
  }%
  \si@edef@c{si@num@in@#1@#2}{%
    \expandafter\expandafter\expandafter\@cdr
      \csname si@num@in@#1@#2\endcsname\@nil
  }%
}
\newcommand*{\si@num@post@rnd@figures@aux@ii}[1]{%
  \advance\si@num@post@rnd@cnt-\si@num@post@figures\relax
  \si@whiledo@empty@F\si@num@post@dec{%
    \si@num@post@rnd@dec{#1}%
  }%
  \si@whiledo@empty@F\si@num@post@int{%
    \si@num@post@rnd@figures@int{#1}
  }%
  \si@bool@if@T\si@num@post@carry@bool{%
    \si@edef@c{si@num@in@#1@int}{%
      1%
      \@nameuse{si@num@in@#1@int}%
    }%
    \si@empty@cs@if@F{si@num@in@#1@dec}{%
      \si@reverse@cs{si@num@in@#1@dec}%
      \si@edef@c{si@num@in@#1@dec}{%
        \expandafter\expandafter\expandafter\@cdr
          \csname si@num@in@#1@dec\endcsname\@nil
      }%
      \si@reverse@cs{si@num@in@#1@dec}%
    }%
  }%
}
\newcommand*{\si@num@post@rnd@figures@aux@iii}[1]{%
  \advance\si@num@post@rnd@cnt-\si@num@post@figures\relax
  \si@num@post@rnd@cnt-\si@num@post@rnd@cnt\relax
  \si@reverse@macro\si@num@post@dec
  \si@reverse@macro\si@num@post@int
  \si@let@cN{si@num@in@#1@dec}\si@num@post@dec
  \si@let@cN{si@num@in@#1@int}\si@num@post@int
  \si@num@post@rnd@pad{#1}%
}
\newcommand*{\si@num@post@rnd@figures@int}[1]{%
  \si@num@if@T{\si@num@post@rnd@cnt>\z@}{%
    \si@edef@c{si@num@in@#1@int}{%
      0%
      \@nameuse{si@num@in@#1@int}%
    }%
  }%
  \si@num@if@F{\si@num@post@rnd@cnt>\@ne}{%
    \si@tempcnt\expandafter\@car\si@num@post@int\@nil\relax
    \si@bool@if@T\si@num@post@carry@bool{%
      \advance\si@tempcnt\@ne\relax
    }%
    \si@bool@false\si@num@post@carry@bool
    \si@num@if@TF{\si@num@post@rnd@cnt=\@ne}{%
      \si@num@if@T{\si@tempcnt>4}{%
        \si@bool@true\si@num@post@carry@bool
      }%
    }{%
      \si@num@if@T{\si@tempcnt=10}{%
        \si@bool@true\si@num@post@carry@bool
        \si@tempcnt\z@\relax
      }%
      \si@edef@c{si@num@in@#1@int}{%
        \the\si@tempcnt
        \@nameuse{si@num@in@#1@int}%
      }%
    }%
  }%
  \advance\si@num@post@rnd@cnt\m@ne\relax
  \edef\si@num@post@int{\expandafter\@cdr\si@num@post@int\@nil}%
}
\newcommand*{\si@num@post@rnd@pad}[1]{%
  \si@whiledo@num@T{\si@num@post@rnd@cnt>\z@}{%
    \si@edef@c{si@num@in@#1@dec}{%
      \@nameuse{si@num@in@#1@dec}%
      0%
    }%
    \advance\si@num@post@rnd@cnt\m@ne\relax
  }%
}
\newcommand*{\si@num@post@rnd@places}[1]{%
  \si@num@if@TF{\si@num@post@places=\z@}{%
    \si@clear@cs{si@num@in@#1@dec}%
    \si@bool@cs@false{si@num@in@#1@dec@bool}%
  }{%
    \si@num@post@rnd@places@aux@i{#1}%
  }%
}
\newcommand*{\si@num@post@rnd@places@aux@i}[1]{%
  \si@empty@cs@if@T{si@num@in@#1@dec}{%
    \@namedef{si@num@in@#1@dec}{0}%
  }%
  \si@num@post@rnd@cnt\si@elt@count@cs{si@num@in@#1@dec}\relax
  \expandafter\expandafter\expandafter\ifnum
    \csname si@num@in@#1@dec\endcsname=\z@\relax
    \si@num@post@rnd@cnt\si@num@post@places\relax
    \si@clear@cs{si@num@in@#1@dec}%
    \expandafter\si@num@post@rnd@pad
  \else
    \expandafter\si@num@post@rnd@places@aux@ii
  \fi
  {#1}%
}
\newcommand*{\si@num@post@rnd@places@aux@ii}[1]{%
  \advance\si@num@post@rnd@cnt-\si@num@post@places\relax
  \si@num@if@TF{\si@num@post@rnd@cnt<\z@}{%
    \si@num@post@rnd@cnt-\si@num@post@rnd@cnt\relax
    \si@num@post@rnd@pad{#1}%
  }{%
    \si@num@post@rnd@places@init{#1}%
    \si@num@post@rnd@places@aux@iii{#1}%
  }%
}
\newcommand*{\si@num@post@rnd@places@aux@iii}[1]{%
  \si@empty@if@TF\si@num@post@dec{%
    \si@whiledo@empty@F\si@num@post@int{%
      \si@num@post@rnd@places@int{#1}%
    }%
    \si@bool@if@T\si@num@post@carry@bool{%
      \si@edef@c{si@num@in@#1@int}{%
        1%
        \@nameuse{si@num@in@#1@int}%
      }%
    }%
  }{%
    \si@num@post@rnd@dec{#1}%
    \si@num@post@rnd@places@aux@iii{#1}%
  }%
}
\newcommand*{\si@num@post@rnd@places@int}[1]{%
  \si@tempcnt\expandafter\@car\si@num@post@int\@nil\relax
  \edef\si@num@post@int{\expandafter\@cdr\si@num@post@int\@nil}%
  \si@bool@if@T\si@num@post@carry@bool{%
    \advance\si@tempcnt\@ne\relax
  }%
  \si@bool@false\si@num@post@carry@bool
  \si@num@if@T{\si@tempcnt=10}{%
    \si@bool@true\si@num@post@carry@bool
    \si@tempcnt\z@\relax
  }%
  \si@edef@c{si@num@in@#1@int}{%
    \the\si@tempcnt
    \@nameuse{si@num@in@#1@int}%
  }%
}
\newcommand*{\si@num@post@rnd@places@init}[1]{%
  \si@let@Nc\si@num@post@dec{si@num@in@#1@dec}%
  \si@let@Nc\si@num@post@int{si@num@in@#1@int}%
  \si@reverse@macro\si@num@post@dec
  \si@reverse@macro\si@num@post@int
  \si@clear@cs{si@num@in@#1@dec}%
  \si@clear@cs{si@num@in@#1@int}%
  \si@bool@false\si@num@post@carry@bool
}
\newcommand*{\si@num@post@zero@fill}{%
  \si@bool@if@T\si@num@post@zero@int@bool{%
    \si@num@post@zero@fill@aux{mant}{int}%
    \si@num@post@zero@fill@aux{mant@comp}{int}%
    \si@num@post@zero@fill@aux{exp}{int}%
    \si@num@post@zero@fill@aux{exp@comp}{int}%
  }%
  \si@bool@if@T\si@num@post@zero@dec@bool{%
    \si@num@post@zero@fill@aux{mant}{dec}%
    \si@num@post@zero@fill@aux{mant@comp}{dec}%
    \si@num@post@zero@fill@aux{exp}{dec}%
    \si@num@post@zero@fill@aux{exp@comp}{dec}%
  }%
}
\newcommand*{\si@num@post@zero@fill@aux}[2]{%
  \si@bool@cs@if@T{si@num@in@#1@dec@bool}{%
    \si@empty@cs@if@T{si@num@in@#1@#2}{%
      \@namedef{si@num@in@#1@#2}{0}%
    }%
  }%
}
\newcommand*{\si@num@post@uncert}{%
  \si@num@post@uncert@aux@i{mant}%
  \si@num@post@uncert@aux@i{exp}%
}
\newcommand*{\si@num@post@uncert@aux@i}[1]{%
  \si@num@post@uncert@aux@ii{#1}%
  \si@num@post@uncert@aux@ii{#1@comp}%
}
\newcommand*{\si@num@post@uncert@aux@ii}[1]{%
  \si@bool@cs@if@TF{si@num@in@#1@dec@bool}{%
    \si@num@post@uncert@dec{#1}%
  }{%
    \si@num@post@uncert@int{#1}%
  }%
}
\newcommand*{\si@num@post@uncert@dec}[1]{%
  \si@empty@cs@if@F{si@num@in@#1@uncert}{%
    \si@bool@cs@true{si@num@in@#1@uncert@dec@bool}%
    \si@num@post@dec@cnt\si@elt@count@cs{si@num@in@#1@dec}\relax
    \si@num@post@uncert@cnt\si@elt@count@cs{si@num@in@#1@uncert}\relax
    \si@num@if@TF{\si@num@post@uncert@cnt>\si@num@post@dec@cnt}{%
      \si@num@post@uncert@dec@aux@i{#1}%
    }{%
      \si@num@post@uncert@dec@aux@ii{#1}%
    }%
  }%
}
\newcommand*{\si@num@post@uncert@dec@aux@i}[1]{%
  \def\si@tempa##1{%
    \si@num@if@TF{\si@num@post@uncert@cnt>\si@num@post@dec@cnt}{%
      \si@add@right@cs@n{si@num@in@#1@uncert@int}{##1}%
    }{%
      \si@add@right@cs@n{si@num@in@#1@uncert@dec}{##1}%
    }%
    \advance\si@num@post@uncert@cnt\m@ne\relax
  }%
  \si@loop@over@cs{si@num@in@#1@uncert}\si@tempa
}
\newcommand*{\si@num@post@uncert@dec@aux@ii}[1]{%
  \def\si@tempa{%
    \si@add@right@cs@n{si@num@in@#1@uncert@dec}{0}%
    \advance\si@num@post@uncert@cnt\@ne\relax
  }%
  \si@whiledo@num@T{\si@num@post@uncert@cnt<\si@num@post@dec@cnt}{%
    \si@tempa
  }%
  \def\si@tempa##1{%
    \si@add@right@cs@o{si@num@in@#1@uncert@dec}{##1}%
  }%
  \expandafter\si@tempa\expandafter
    {\csname si@num@in@#1@uncert\endcsname}%
  \si@bool@if@T\si@num@post@zero@int@bool{%
    \@namedef{si@num@in@#1@uncert@int}{0}%
  }%
}
\newcommand*{\si@num@post@uncert@int}[1]{%
  \si@let@cc{si@num@in@#1@uncert@int}{si@num@in@#1@uncert}%
}
\newcommand*{\si@num@out@bracket@close}{}
\newcommand*{\si@num@out@bracket@open}{}
\newcommand*{\si@num@out@complex@root}{}
\newcommand*{\si@num@out@decimal}{}
\newcommand*{\si@num@out@exp@base}{}
\newcommand*{\si@num@out@exp@prod}{}
\newcommand*{\si@num@out@group@sep}{}
\newcommand*{\si@num@out@uncert@close}{}
\newcommand*{\si@num@out@uncert@open}{}
\newcommand*{\si@num@out@uncert@space}{}
\si@bool@new\si@num@out@bracket@use@bool
\si@bool@new\si@num@out@group@digits@bool
\si@bool@new\si@num@out@group@four@bool
\si@bool@new\si@num@out@tight@bool
\si@bool@new\si@num@out@uncert@sep@bool
\newcommand*{\si@num@out@mant}{}
\newcommand*{\si@num@out@mant@sign}{}
\newcommand*{\si@num@out@mant@int}{}
\newcommand*{\si@num@out@mant@dec}{}
\newcommand*{\si@num@out@mant@uncert}{}
\newcommand*{\si@num@out@mant@uncert@dec}{}
\newcommand*{\si@num@out@mant@uncert@int}{}
\newcommand*{\si@num@out@mant@comp}{}
\newcommand*{\si@num@out@mant@comp@sign}{}
\newcommand*{\si@num@out@mant@comp@int}{}
\newcommand*{\si@num@out@mant@comp@dec}{}
\newcommand*{\si@num@out@mant@comp@uncert}{}
\newcommand*{\si@num@out@mant@comp@uncert@dec}{}
\newcommand*{\si@num@out@mant@comp@uncert@int}{}
\newcommand*{\si@num@out@exp}{}
\newcommand*{\si@num@out@exp@sign}{}
\newcommand*{\si@num@out@exp@int}{}
\newcommand*{\si@num@out@exp@dec}{}
\newcommand*{\si@num@out@exp@uncert}{}
\newcommand*{\si@num@out@exp@uncert@dec}{}
\newcommand*{\si@num@out@exp@uncert@int}{}
\newcommand*{\si@num@out@exp@comp}{}
\newcommand*{\si@num@out@exp@comp@sign}{}
\newcommand*{\si@num@out@exp@comp@int}{}
\newcommand*{\si@num@out@exp@comp@dec}{}
\newcommand*{\si@num@out@exp@comp@uncert}{}
\newcommand*{\si@num@out@exp@comp@uncert@dec}{}
\newcommand*{\si@num@out@exp@comp@uncert@int}{}
\newcommand*{\si@num@out@result}{}
\si@bool@new\si@num@out@mant@parts@bool
\si@bool@new\si@num@out@mant@comp@parts@bool
\si@bool@new\si@num@out@exp@parts@bool
\si@bool@new\si@num@out@exp@comp@parts@bool
\si@bool@new\si@num@out@mant@comp@bool
\si@bool@new\si@num@out@exp@comp@bool
\si@bool@new\si@num@out@mant@bool
\si@keys@family{numbers/output}
\pgfkeys{
  /siunitx/numbers/output,
  close bracket/.store in                 = {\si@num@out@bracket@close},
  close uncertainty/.store in             = {\si@num@out@uncert@close},
  complex root/.store in                  = {\si@num@out@complex@root},
  decimal marker/.store in                = {\si@num@out@decimal},
  exponent base/.store in                 = {\si@num@out@exp@base},
  exponent product/.store in              = {\si@num@out@exp@prod},
  group digits/.is siunitx switch         = {num@out@group@digits},
  group four digits/.is siunitx switch    = {num@out@group@four},
  group separator/.store in               = {\si@num@out@group@sep},
  open bracket/.store in                  = {\si@num@out@bracket@open},
  open uncertainty/.store in              = {\si@num@out@uncert@open},
  separate uncertainty/.is siunitx switch = {num@out@uncert@sep},
  tight spacing/.is siunitx switch        = {num@out@tight},
  uncertainty space/.store in             = {\si@num@out@uncert@space},
  use brackets/.is siunitx switch         = {num@out@bracket@use}, %(
  close bracket        = ),% (
  close uncertainty    = ),
  complex root         = i,
  decimal marker       = .,
  exponent base        = 10,
  exponent product     = \times,
  group digits         = true,
  group four digits    = false,
  group separator      = {\,},
  open bracket         = (, %)
  open uncertainty     = (, %)
  separate uncertainty = false,
  tight spacing        = false,
  use brackets         = true,
  uncertainty space    = {},
}
\newcommand*{\si@num@out@process}{%
  \si@num@out@init
  \si@num@out@core
  \si@num@out@complex
  \si@empty@if@F\si@num@out@mant{%
    \si@bool@true\si@num@out@mant@bool
  }%
  \si@num@out@sign{mant}%
  \si@num@out@sign{exp}%
  \si@num@out@exponent
}
\newcommand*{\si@num@out@add}[1]{%
  \si@add@right@cs@n{si@num@out@#1}%
}
\newcommand*{\si@num@out@add@C}[2]{%
  \expandafter\si@num@out@add@C@aux\expandafter
    {\csname si@num@out@#2\endcsname}{#1}%
}
\newcommand*{\si@num@out@add@C@aux}[2]{%
  \si@add@right@cs@o{si@num@out@#2}{#1}%
}
\newcommand*{\si@num@out@add@maths}[2]{%
  \si@empty@if@F#2{%
    \expandafter\si@num@out@add@maths@aux\expandafter{#2}{#1}%
  }%
}
\newcommand*{\si@num@out@add@maths@aux}[2]{%
  \si@num@out@add{#2}{\ensuremath{#1}}%
}
\newcommand*{\si@num@out@add@pm}[1]{%
  \si@bool@if@TF\si@num@out@tight@bool{%
    \si@num@out@add@maths{#1}{{\pm}}%
  }{%
    \def\si@tempa{\pm}%
    \si@num@out@add@maths{#1}{\si@tempa}%
  }%
}
\newcommand*{\si@num@out@bracket@comp}[1]{%
  \si@bool@cs@if@T{si@num@out@#1@comp@bool}{%
    \si@bool@cs@false{si@num@out@#1@parts@bool}%
    \si@bool@cs@false{si@num@out@#1@comp@parts@bool}%
  }%
  \si@num@out@brackets@aux@i{#1}{comp}%
}
\newcommand*{\si@num@out@bracket@parts}[1]{%
  \si@num@out@brackets@aux@i{#1}{parts}%
}
\newcommand*{\si@num@out@brackets@aux@i}[2]{%
  \si@empty@cs@if@F{si@num@out@#1}{%
    \si@bool@if@T\si@num@out@bracket@use@bool{%
      \si@bool@cs@if@T{si@num@out@#1@#2@bool}{%
        \si@num@out@bracket@aux@ii{#1}%
        \si@bool@cs@false{si@num@out@#1@#2@bool}%
      }%
    }%
  }%
}
\newcommand*{\si@num@out@bracket@aux@ii}[1]{%
  \si@add@left@cs@o{si@num@out@#1}\si@num@out@bracket@open
  \si@add@right@cs@o{si@num@out@#1}\si@num@out@bracket@close
}
\newcommand*{\si@num@out@complex}{%
  \si@num@out@complex@aux{mant}%
  \si@num@out@complex@aux{exp}%
}
\newcommand*{\si@num@out@complex@aux}[1]{%
  \si@num@out@bracket@parts{#1@comp}%
  \si@bool@cs@if@T{si@num@in@#1@comp@bool}{%
    \si@num@out@add@maths{#1@comp}{\si@num@out@complex@root}%
    \si@num@out@bracket@parts{#1}%
    \si@empty@cs@if@F{si@num@out@#1}{%
      \si@num@out@sign{#1@comp}%
      \si@bool@cs@true{si@num@out@#1@comp@bool}%
    }%
  }%
  \si@num@out@add@C{#1}{#1@comp}%
}
\newcommand*{\si@num@out@copy}[1]{%
  \expandafter\si@num@out@copy@aux\csname si@num@in@#1\endcsname{#1}%
}
\newcommand*{\si@num@out@copy@aux}[2]{%
  \si@add@right@cs@o{si@num@out@#2}{#1}%
}
\newcommand*{\si@num@out@copy@maths}[1]{%
  \expandafter\si@num@out@copy@maths@aux
    \csname si@num@in@#1\endcsname{#1}%
}
\newcommand*{\si@num@out@copy@maths@aux}[2]{%
  \si@num@out@add@maths{#2}#1%
}
\newcommand*{\si@num@out@core}{%
  \si@num@out@core@aux@i{mant}%
  \si@num@out@core@aux@i{exp}%
}
\newcommand*{\si@num@out@core@aux@i}[1]{%
  \si@num@out@core@aux@ii{#1}%
  \si@num@out@core@aux@ii{#1@comp}%
}
\newcommand*{\si@num@out@core@aux@ii}[1]{%
  \si@bool@cs@if@T{si@num@in@#1@bool}{%
    \si@num@out@group@digits{#1}%
    \si@empty@cs@if@F{si@num@in@#1@uncert}{%
      \si@num@out@uncert{#1}%
    }%
  }%
}
\newcommand*{\si@num@out@exponent}{%
  \si@bool@if@T\si@num@out@mant@bool{%
    \si@empty@cs@if@F{si@num@out@exp}{%
      \si@num@out@bracket@comp{mant}%
      \si@num@out@bracket@parts{mant}%
    }%
  }%
  \si@num@out@add@C{result}{mant}%
  \si@bool@if@T\si@num@out@mant@bool{%
    \si@empty@cs@if@F{si@num@out@exp}{%
      \si@bool@if@TF\si@num@out@tight@bool{%
        \expandafter\def\expandafter\si@tempa\expandafter
          {\expandafter{\si@num@out@exp@prod}}%
        \si@num@out@add@maths{result}\si@tempa
      }{%
        \si@num@out@add@maths{result}{\si@num@out@exp@prod}%
      }%
    }%
  }%
  \si@empty@cs@if@F{si@num@out@exp}{%
    \si@num@out@add@C{result}{exp@base}%
    \edef\si@num@out@exp{%
      ^{\expandafter\unexpanded\expandafter{\si@num@out@exp}}%
    }%
   \si@num@out@add@C{result}{exp}%
  }%
}
\newcommand*{\si@num@out@group@digits}[1]{%
  \si@num@out@copy{#1@dec}%
  \si@num@out@copy{#1@int}%
  \si@bool@if@T\si@num@out@group@digits@bool{%
    \si@bool@if@F\si@num@in@symbols@bool{%
      \si@num@out@group@digits@aux@i{#1}{dec}%
      \si@num@out@group@digits@aux@i{#1}{int}%
    }%
  }%
  \si@num@out@add@C{#1}{#1@int}%
  \si@bool@cs@if@T{si@num@in@#1@dec@bool}{%
    \si@num@out@add@maths{#1}{\si@num@out@decimal}%
    \si@num@out@add@C{#1}{#1@dec}%
  }%
}
\newcommand*{\si@num@out@group@digits@aux@i}[2]{%
  \si@empty@cs@if@F{si@num@in@#1@#2}{%
    \si@bool@if@TF\si@num@out@group@four@bool{%
      \si@num@out@group@digits@aux@ii{#1}{#2}%
    }{%
      \si@num@out@group@five@if@T{si@num@in@#1@#2}{%
        \si@num@out@group@digits@aux@ii{#1}{#2}%
      }%
    }%
  }%
}
\newcommand*{\si@num@out@group@digits@aux@ii}[2]{%
  \si@clear@cs{si@num@out@#1@#2}%
  \@nameuse{si@num@out@group@#2}{#1}%
}
\newcommand*{\si@num@out@group@dec}[1]{%
  \def\si@num@out@group@dec@aux##1##2##3##4{%
    \si@empty@tlist@if@TF{##2}{%
      \si@num@out@add{#1@dec}{##1}%
    }{%
      \si@empty@tlist@if@TF{##3}{%
        \si@num@out@add{#1@dec}{##1##2}%
      }{%
        \si@num@out@add{#1@dec}{##1##2##3}%
        \si@empty@tlist@if@F{##4}{%
          \si@num@out@add@maths{#1@dec}{\si@num@out@group@sep}%
          \si@num@out@group@dec@aux##4%
        }%
      }%
    }%
  }%
  \expandafter\expandafter\expandafter\si@num@out@group@dec@aux
    \csname si@num@in@#1@dec\endcsname{}{}{}%
}
\newcommand*{\si@num@out@group@dec@aux}{}
\newcommand*{\si@num@out@group@five@if@T}[1]{%
  \expandafter\expandafter\expandafter\si@num@out@group@five@if@aux
    \csname #1\endcsname\@empty\@empty\@empty\@empty\si@stop
}
\newcommand*{\si@num@out@group@five@if@aux}{}
\def\si@num@out@group@five@if@aux#1#2#3#4#5\si@stop{%
  \edef\si@tempa{#5}%
  \si@empty@if@F\si@tempa
}
\newcommand*{\si@num@out@group@int}[1]{%
  \def\si@num@out@group@int@aux@iii##1##2##3##4{%
    \si@num@out@add{#1@int}{##1##2##3}%
    \si@stop@if@F{##4}{%
      \si@num@out@add@maths{#1@int}{\si@num@out@group@sep}%
      \si@num@out@group@int@aux@iii##4%
    }%
  }%
  \expandafter\si@num@out@group@int@aux@i
    \csname si@num@in@#1@int\endcsname
}
\newcommand*{\si@num@out@group@int@aux@i}[1]{%
  \expandafter\si@num@out@group@int@aux@ii\expandafter
    {\expandafter}#1{}{}{}%
}
\newcommand*{\si@num@out@group@int@aux@ii}[4]{%
  \si@empty@tlist@if@TF{#2}{%
    \si@num@out@group@int@aux@iii#1\si@stop
  }{%
    \si@empty@tlist@if@TF{#3}{%
      \si@num@out@group@int@aux@iii{}{}#1#2\si@stop
    }{%
      \si@empty@tlist@if@TF{#4}{%
        \si@num@out@group@int@aux@iii{}#1#2#3\si@stop
      }{%
        \si@num@out@group@int@aux@ii{#1#2#3#4}%
      }%
    }%
  }%
}
\newcommand*{\si@num@out@group@int@aux@iii}{}
\newcommand*{\si@num@out@init}{%
  \si@loop@over@macro\si@num@in@init@names\si@num@out@init@aux
  \si@clear@macro\si@num@out@result
  \si@bool@false\si@num@out@mant@parts@bool
  \si@bool@false\si@num@out@mant@comp@parts@bool
  \si@bool@false\si@num@out@exp@parts@bool
  \si@bool@false\si@num@out@exp@comp@parts@bool
  \si@bool@false\si@num@out@mant@comp@bool
  \si@bool@false\si@num@out@exp@comp@bool
  \si@bool@false\si@num@out@mant@bool
}
\newcommand*{\si@num@out@init@aux}[1]{%
  \si@clear@cs{si@num@out@#1}%
}
\newcommand*{\si@num@out@sign}[1]{%
  \si@bool@if@TF\si@num@out@tight@bool{%
    \si@let@Nc\si@tempa{si@num@in@#1@sign}%
    \expandafter\def\expandafter\si@tempa\expandafter
      {\expandafter{\si@tempa}}%
    \si@num@out@add@maths{#1@sign}\si@tempa
  }{%
    \si@num@out@copy@maths{#1@sign}%
  }%
  \si@num@out@sign@aux@i{#1}%
}
\newcommand*{\si@num@out@sign@aux@i}[1]{%
  \expandafter\si@num@out@sign@aux@ii
    \csname si@num@out@#1@sign\endcsname{si@num@out@#1}%
}
\newcommand*{\si@num@out@sign@aux@ii}[2]{%
  \si@add@left@cs@o{#2}{#1}%
}
\newcommand*{\si@num@out@uncert}[1]{%
  \si@bool@if@TF\si@num@out@uncert@sep@bool{%
    \si@bool@cs@true{si@num@out@#1@parts@bool}%
    \si@num@out@group@digits{#1@uncert}%
    \si@num@out@add@pm{#1}%
    \si@num@out@add@C{#1}{#1@uncert}%
  }{%
    \si@num@out@add@maths{#1@uncert}{\si@num@out@uncert@open}%
    \si@num@out@copy{#1@uncert}%
    \si@num@out@add@maths{#1@uncert}{\si@num@out@uncert@close}%
    \si@num@out@add@maths{#1}{\si@num@out@uncert@space}%
    \si@num@out@add@C{#1}{#1@uncert}%
  }%
}
\newcommand*{\si@num@print}{%
  \si@print@num@o{\si@num@out@result}% \opt
}
\newcommand*{\si@tab@rewrite@check@cellspace}{%
  \@ifpackageloaded{cellspace}{%
    \si@log@info{Changing cellspace column letter to C}%
    \newcolumntype{C}[1]{>{\bcolumn##1\@nil}##1<{\ecolumn}}%
    \def\si@tempa##1\NC@do S##2\si@stop{%
      \NC@list{##1##2}%
    }%
    \expandafter\si@tempa\the\NC@list\si@stop
    \let\NC@find@S\@undefined
  }{}%
}
\AtBeginDocument{\si@tab@rewrite@check@cellspace}
\newcommand*{\si@tab@rewrite@create}[1]{%
  \edef\si@tempa{\noexpand\NC@do #1\the\NC@list}%
  \newcolumntype{#1}{}%
  \NC@list\expandafter{\si@tempa}%
  \expandafter\renewcommand\expandafter*\expandafter{%
    \csname NC@rewrite@#1\endcsname
  }[1][]{%
    \edef\si@tempa{%
      \the\@temptokena
      >{\noexpand\si@tab@collect@begin[\unexpanded{##1}]{#1}}%
      c%
      <{\noexpand\si@tab@print@out}%
    }%
    \@temptokena\expandafter{\si@tempa}%
    \NC@find
  }%
}
\AtBeginDocument{%
  \si@tab@rewrite@create{S}%
  \si@tab@rewrite@create{s}%
}
\newcommand*{\si@tab@collect@after}{}
\newcommand*{\si@tab@collect@before}{}
\newcommand*{\si@tab@collect@body}{}
\newcommand*{\si@tab@collect@num}{}
\si@bool@new\si@tab@collect@after@bool
\si@bool@new\si@tab@collect@before@bool
\newcommand*{\si@tab@collect@begin}[2][]{%
  \begingroup
    \sisetup{#1}%
    \def\si@tab@collect@body{}%
    \@nameuse{si@tab@collect@begin@#2}%
    \si@tab@collect@get
}
\newcommand*{\si@tab@collect@begin@s}{%
  \si@bool@false\si@tab@collect@before@bool
  \let\si@tab@collect@token\si@tab@collect@token@s
  \let\si@tab@print@out\si@tab@print@out@s
  \def\si@tab@collect@braced##1{%
    \si@add@right@n\si@tab@collect@body{{##1}}%
    \si@tab@collect@next
  }%
}
\newcommand*{\si@tab@collect@begin@S}{%
  \def\si@tab@collect@after{}%
  \def\si@tab@collect@before{}%
  \si@bool@true\si@tab@collect@before@bool
  \let\si@tab@collect@token\si@tab@collect@token@S
  \let\si@tab@print@out\si@tab@print@out@S
  \si@expand@tlist\si@tab@collect@num{%
    \si@num@in@ignore
    \si@num@in@signs
    \si@num@in@digits
    \si@num@in@decimal
    \si@num@in@exponent
    \si@num@in@complex
    \si@num@in@symbols
    \si@num@in@uncert@open
    \si@num@in@uncert@close
  }%
  \def\si@tab@collect@braced##1{%
    \si@bool@if@TF\si@tab@collect@before@bool{%
      \si@add@right@n\si@tab@collect@before{##1}%
    }{%
      \si@bool@false\si@tab@collect@before@bool
      \si@bool@true\si@tab@collect@after@bool
      \si@add@right@n\si@tab@collect@after{##1}%
    }%
    \si@tab@collect@next
  }%
}
\newcommand*{\si@tab@collect@braced}{}
\newcommand*{\si@tab@collect@expand}[1]{%
  \edef\si@tempa{%
    \expandafter\si@tab@collect@expand@aux@i\meaning#1:->\si@stop
  }%
  \si@meaning@eq@if@TF\si@tempa\si@tab@collect@expand@aux@ii{%
    \si@tab@collect@before
    \def\si@tab@collect@before{}%
    \expandafter\def\expandafter\si@tab@collect@next\expandafter{%
      \expandafter\si@tab@collect@get#1%
    }%
  }{%
    \si@bool@if@TF\si@tab@collect@before@bool{%
      \si@add@right@n\si@tab@collect@before{#1}%
    }{%
      \si@bool@true\si@tab@collect@after@bool
      \si@bool@false\si@tab@collect@before@bool
      \si@add@right@n\si@tab@collect@after{#1}%
    }%
  }%
}
\newcommand*{\si@tab@collect@expand@aux@i}{}
\def\si@tab@collect@expand@aux@i#1:->#2\si@stop{#1}
\newcommand*{\si@tab@collect@expand@aux@ii}{}
\edef\si@tab@collect@expand@aux@ii{%
  \expandafter\si@tab@collect@expand@aux@i\meaning
    \si@tab@collect@expand@aux@ii:->\si@stop
}%
\newcommand*{\si@tab@collect@get}{%
  \let\si@tab@collect@next\si@tab@collect@get
  \futurelet\si@tempa\si@tab@collect@get@aux
}
\newcommand*{\si@tab@collect@get@aux}{%
  \si@meaning@eq@if@TF\si@tempa\bgroup{%
    \si@tab@collect@braced
  }{%
    \si@tab@collect@unbraced
  }%
}
\newcommand*{\si@tab@collect@newline}{%
  \si@tab@print@out
  \tabularnewline
}
\newcommand*{\si@tab@collect@next}{}
\newcommand*{\si@tab@collect@token}{}
\newcommand*{\si@tab@collect@token@s}[1]{%
  \si@add@right@n\si@tab@collect@body{#1}%
}
\newcommand*{\si@tab@collect@token@S}[1]{%
  \si@bool@if@TF\si@tab@collect@after@bool{%
    \si@add@right@n\si@tab@collect@after{#1}%
  }{%
    \si@in@if@TF\si@tab@collect@num{#1}{%
      \si@bool@false\si@tab@collect@before@bool
      \si@add@right@n\si@tab@collect@body{#1}%
    }{%
      \si@tab@collect@expand{#1}%
    }%
  }%
}
\newcommand*{\si@tab@collect@unbraced}[1]{%
  \si@meaning@eq@if@F{#1}\ignorespaces{%
    \si@meaning@eq@if@F{#1}\unskip{%
      \si@tab@collect@unbraced@aux{#1}%
    }%
  }%
  \si@tab@collect@next
}
\newcommand*{\si@tab@collect@unbraced@aux}[1]{%
  \def\si@tempa##1{%
    \si@meaning@eq@if@T{#1}##1{%
      \let\si@tab@collect@next##1%
    }%
  }%
  \si@tempa\csname
  \si@tempa\end
  \si@tempa\endtabular
  \si@tempa\si@tab@print@out
  \si@tempa\relax
  \si@meaning@eq@if@T\si@tab@collect@next\si@tab@collect@get{%
    \si@meaning@eq@if@TF{#1}\tabularnewline{%
      \let\si@tab@collect@next\si@tab@collect@newline
    }{%
      \si@tab@collect@token{#1}%
    }%
  }%
}
\si@keys@family{tables}
\pgfkeys{
  /siunitx/tables,
  align exponents/.is siunitx switch     = {},
  align uncertainties/.is siunitx switch = {},
  number position/.is choice,
  number position/.cd,
    center/.code           = {},
    centre/.code           = {},
    decimal centred/.code  = {},
    decimal centered/.code = {},
    left/.code             = {},
    right/.code            = {},
  /siunitx/tables,
  number format/.code = {},
  position/.is choice,
  position/.cd,
    center/.style = {
     /siunitx/tables/number position = center,
     /siunitx/tables/text position   = center,
     /siunitx/tables/unit position   = center,
    },
    centre/.style = {
     /siunitx/tables/number position = centre,
     /siunitx/tables/text position   = centre,
     /siunitx/tables/unit position   = centre,
    },
    left/.style   = {
     /siunitx/tables/number position = left,
     /siunitx/tables/text position   = left,
     /siunitx/tables/unit position   = left,
    },
    right/.style  = {
     /siunitx/tables/number position = right,
     /siunitx/tables/text position   = right,
     /siunitx/tables/unit position   = right,
    },
  /siunitx/tables,
  text position/.is choice,
  text position/.cd,
    center/.code = {},
    centre/.code = {},
    none/.code   = {},
    left/.code   = {},
    right/.code  = {},
  /siunitx/tables,
  unit position/.is choice,
  unit position/.cd,
    center/.code = {},
    centre/.code = {},
    none/.code   = {},
    left/.code   = {},
    right/.code  = {},
  /siunitx/tables,
  number position = centre,
  text position   = centre,
  unit position   = centre
}
\newcommand*{\si@tab@print@out}{}
\newcommand*{\si@tab@print@out@s}{%
    \si@tab@collect@body
  \endgroup
}
\newcommand*{\si@tab@print@out@S}{%
    \si@tab@collect@before
    \si@tab@collect@body
    \si@tab@collect@after
  \endgroup
}
\newcommand*{\si@unit@def@list}{}
\newcommand*{\si@unit@def@prefix@list}{}
\newcommand*{\si@unit@def@power@list}{}
\newcommand*{\si@unit@def@qual@list}{}
\newcommand*{\si@unit@def@unit@list}{}
\newcommand*{\si@unit@def@list@combine}{%
  \si@expand@tlist\si@unit@def@list{%
    \si@unit@def@power@list
    \si@unit@def@prefix@list
    \si@unit@def@qual@list
    \si@unit@def@unit@list
  }%
  \si@add@right@n\si@unit@def@list{%
    \per
    \raiseto
    \tothe
  }%
}
\AtBeginDocument{\si@unit@def@list@combine}
\newcommand*{\si@unit@def@power}[2]{%
  \si@add@right@n\si@unit@def@power@list{#1}%
  \@namedef{si@unit@literal@\string#1}##1{##1\textsuperscript{#2}}%
  \@namedef{si@unit@macro@\string#1}{%
    \def\si@unit@parse@power@last{#2}%
  }%
}
\newcommand*{\si@unit@def@power@post}[2]{%
  \si@add@right@n\si@unit@def@power@list{#1}%
  \@namedef{si@unit@literal@\string#1}{\textsuperscript{#2}}%
  \@namedef{si@unit@macro@\string#1}{%
    \def\si@unit@parse@power@current{#2}%
    \si@unit@parse@store{power}{null}%
  }%
}
\newcommand*{\si@unit@def@prefix}[3]{%
  \si@add@right@n\si@unit@def@prefix@list{#1}%
  \@namedef{si@unit@literal@\string#1}{#2}%
  \@namedef{si@unit@number@\string#1}{#3}%
  \@namedef{si@unit@macro@\string#1}{%
    \si@unit@parse@store{prefix}{#2}%
  }%
}
\newcommand*{\si@unit@def@prefix@binary}[1]{%
  \si@unit@def@prefix{#1}%
}
\newcommand*{\si@unit@def@qual}[2]{%
  \si@add@right@n\si@unit@def@qual@list{#1}%
  \@namedef{si@unit@literal@\string#1}{\text{ }(#2)}%
  \@namedef{si@unit@macro@\string#1}{%
    \si@unit@parse@store{qual}{#2}%
  }%
}
\newcommand*{\si@unit@def@unit}[3]{%
  \si@add@right@n\si@unit@def@unit@list{#1}%
  \si@empty@tlist@if@TF{#2}{%
    \si@let@cN{si@unit@options@\string#1}\@undefined
  }{%
    \@namedef{si@unit@options@\string#1}{#2}%
  }%
  \@namedef{si@unit@literal@\string#1}{#3}%
  \@namedef{si@unit@macro@\string#1}{%
    \si@csname@if@TF{si@unit@macro@\expandafter\string\@car#3\@nil}{%
      #3%
    }{%
      \si@unit@parse@store{unit}{#3}%
    }%
  }%
}
\si@bool@new\si@unit@create@body@bool
\si@bool@new\si@unit@create@opt@bool
\si@bool@new\si@unit@create@overwrite@bool
\si@bool@new\si@unit@create@prespace@bool
\si@bool@new\si@unit@create@xspace@bool
\si@keys@family{units/creation}
\pgfkeys{
  /siunitx/units/creation,
  add leading space/.is siunitx switch       = {unit@create@prespace},
  allow in body/.is siunitx switch           = {unit@create@body},
  allow optional argument/.is siunitx switch = {unit@create@opt},
  overwrite macros/.is siunitx switch        = {unit@create@overwrite},
  use xspace/.is siunitx switch              = {unit@create@xspace},
  add leading space       = false,
  allow in body           = false,
  allow optional argument = false,
  overwrite macros        = false,
  use xspace              = false
}
\newcommand*{\si@unit@create@body}{%
  \si@bool@if@T\si@unit@create@body@bool{%
    \si@unit@create@macros
  }%
}
\AtBeginDocument{\si@unit@create@body}
\newcommand*{\si@unit@create@macros}{%
  \si@bool@if@T\si@unit@create@xspace@bool{%
    \RequirePackage{xspace}%
  }%
  \si@bool@if@T\si@unit@create@overwrite@bool{%
    \si@loop@over@macro\si@unit@def@list\si@unit@create@undefine
  }%
  \si@bool@if@TF\si@unit@create@opt@bool{%
    \si@loop@over@macro\si@unit@def@list\si@unit@create@optional
  }{%
    \si@loop@over@macro\si@unit@def@list\si@unit@create@plain
  }%
}
\newcommand*{\si@unit@create@optional}[1]{%
  \ifdefined#1\else
    \edef\si@tempa{%
      \unexpanded{\si@newcommand*{#1}[1][]}{%
        \si@bool@if@T\si@unit@create@prespace@bool{%
          \unexpanded{\si@empty@tlist@if@T{##1}}{%
            \unexpanded{\ensuremath{\si@unit@out@unit@sep}}%
          }%
        }%
        \unexpanded{\SI{##1}{#1}}%
        \si@bool@if@T\si@unit@create@xspace@bool{%
          \noexpand\xspace
        }%
      }%
    }%
    \expandafter\si@tempa
  \fi
}
\newcommand*{\si@unit@create@plain}[1]{%
  \ifdefined#1\else
    \edef\si@tempa{%
      \unexpanded{\si@newcommand*{#1}}{%
        \si@bool@if@T\si@unit@create@prespace@bool{%
          \unexpanded{\ensuremath{\si@unit@out@unit@sep}}%
        }%
        \unexpanded{\si{#1}}%
        \si@bool@if@T\si@unit@create@xspace@bool{%
          \noexpand\xspace
        }%
      }%
    }%
    \expandafter\si@tempa
  \fi
}
\newcommand*{\si@unit@create@undefine}[1]{%
  \let#1\@undefined
}
\@namedef{si@unit@literal@\string\per}{/}
\@namedef{si@unit@macro@\string\per}{%
  \si@bool@true\si@unit@parse@per@last@bool
  \def\si@unit@parse@power@last{1}%
}
\@namedef{si@unit@literal@\string\raiseto}#1#2{
  #2\textsuperscript{#1}%
}
\@namedef{si@unit@macro@\string\raiseto}#1{%
  \def\si@unit@parse@power@last{#1}%
}
\@namedef{si@unit@literal@\string\tothe}#1{%
  \textsuperscript{#1}%
}
\@namedef{si@unit@macro@\string\tothe}#1{%
  \def\si@unit@parse@power@current{#1}%
  \si@unit@parse@store{power}{null}%
}
\newcommand*{\si@unit@in@parse}[1]{%
  \si@empty@tlist@if@F{#1}{%
    \si@unit@in@process@if@TF{#1}{%
      \si@unit@parse@unit{#1}%
    }{%
      \si@bool@if@TF\si@unit@out@lit@allow@bool{%
        \si@unit@out@literal{#1}%
      }{%
        \si@log@error{Literal units disabled}{%
          You gave the literal input `#1' for a unit\MessageBreak
          but literal unit output is disabled.
        }%
      }%
    }%
  }%
}
\newcommand*{\si@unit@in@process@if@TF}[1]{%
  \begingroup
    \si@loop@over@macro\si@unit@def@list\si@unit@in@process@aux
    \let\raiseto\@gobble
    \let\tothe\@gobble
    \protected@edef\@tempa{#1}%
  \expandafter\endgroup
  \expandafter\def\expandafter\si@tempa\expandafter{\@tempa}%
  \si@empty@if@TF\si@tempa
}
\newcommand*{\si@unit@in@process@aux}[1]{%
  \si@clear@macro#1%
}
\newcommand*{\si@unit@parse@block}{}
\newcommand*{\si@unit@parse@block@den}{}
\newcount\si@unit@parse@block@cnt
\newcount\si@unit@parse@block@den@cnt
\si@bool@new\si@unit@parse@per@current@bool
\si@bool@new\si@unit@parse@per@last@bool
\newcommand*{\si@unit@parse@power@current}{}
\newcommand*{\si@unit@parse@power@last}{}
\si@bool@new\si@unit@parse@qual@sub@bool
\newcommand*{\si@unit@parse@queue}{}
\newcommand*{\si@unit@parse@queue@den}{}
\newcommand*{\si@unit@parse@sep}{}
\si@bool@new\si@unit@parse@sticky@bool
\newcommand*{\si@unit@parse@type@last}{}
\newcommand*{\si@unit@parse@type@last@den}{}
\newcommand*{\si@unit@parse@type@prefix}{prefix}
\newcommand*{\si@unit@parse@type@power}{power}
\newcommand*{\si@unit@parse@type@qual}{qual}
\newcommand*{\si@unit@parse@type@unit}{unit}
\si@bool@new\si@unit@parse@fraction@bool
\newcommand*{\si@unit@parse@qual@format}{}
\si@keys@family{units/output}
\pgfkeys{
  /siunitx/units/output,
  print as fraction/.is siunitx switch = {unit@parse@fraction},
  qualifier format/.is choice,
  qualifier format/.cd,
    brackets/.code  = {%
      \def\si@unit@parse@qual@format##1{(##1)}%
      \si@bool@false\si@unit@parse@qual@sub@bool
    },
    space/.code     = {%
      \def\si@unit@parse@qual@format##1{\text{ }##1}%
      \si@bool@false\si@unit@parse@qual@sub@bool
    },
    subscript/.code = {%
      \def\si@unit@parse@qual@format##1{_{##1}}%
      \si@bool@true\si@unit@parse@qual@sub@bool
    },
  /siunitx/units/output,
  sticky per/.is siunitx switch         = {unit@parse@sticky},
  print as fraction = false,
  qualifier format  = subscript,
  sticky per        = false,
}
\newcommand*{\si@unit@parse@unit}[1]{%
  \si@unit@parse@init
  \si@unit@parse@options{#1}%
  \si@unit@out@sep@print
  #1%
  \si@unit@parse@store@unit{stop}%
  \si@print@unit@o{\si@unit@parse@queue}% TEMP
}
\newcommand*{\si@unit@parse@block@new}[1]{%
  \si@empty@if@F\si@unit@parse@power@current{%
    \si@unit@parse@store@power{null}%
  }%
  \si@unit@parse@block@trans
  \let\si@unit@parse@per@current@bool\si@unit@parse@per@last@bool
  \let\si@unit@parse@power@current\si@unit@parse@power@last
  \si@clear@macro\si@unit@parse@power@last
  \si@bool@if@TF\si@unit@parse@sticky@bool{%
    \si@bool@if@T\si@unit@parse@per@last@bool{%
      \def\si@unit@parse@power@last{1}%
    }%
  }{%
    \si@bool@false\si@unit@parse@per@last@bool
  }%
  \@namedef{si@unit@parse@block\si@unit@parse@queue@use}{#1}%
}
\newcommand*{\si@unit@parse@block@trans}{%
  \si@empty@cs@if@F{si@unit@parse@queue\si@unit@parse@queue@use}{%
    \si@add@right@cs@o{si@unit@parse@queue\si@unit@parse@queue@use}{%
      \si@unit@parse@sep
    }%
  }%
  \expandafter\si@unit@parse@block@add@aux\expandafter{%
    \csname si@unit@parse@block\si@unit@parse@queue@use\endcsname
  }%
}
\newcommand*{\si@unit@parse@block@add@aux}[1]{%
  \si@add@right@cs@o{si@unit@parse@queue\si@unit@parse@queue@use}{#1}%
}
\newcommand*{\si@unit@parse@bracket}[1]{%
  \si@bool@if@T\si@unit@out@bracket@use@bool{%
    \si@add@left@cs@o{si@unit@parse@#1}\si@unit@out@bracket@open
    \si@add@right@cs@o{si@unit@parse@#1}\si@unit@out@bracket@close
  }%
}
\newcommand*{\si@unit@parse@init}{%
  \si@loop@over@macro\si@unit@def@list\si@unit@parse@init@aux
  \si@clear@macro\si@unit@parse@current
  \si@clear@macro\si@unit@parse@current@den
  \si@clear@macro\si@unit@parse@power@current
  \si@clear@macro\si@unit@parse@power@last
  \si@clear@macro\si@unit@parse@queue
  \si@clear@macro\si@unit@parse@queue@den
  \def\si@unit@parse@type@last{start}%
  \def\si@unit@parse@type@last@den{start}%
  \expandafter\def\expandafter\si@unit@parse@sep\expandafter{%
    \expandafter\ensuremath\expandafter{\si@unit@out@unit@sep}%
  }%
  \si@unit@parse@block@cnt\z@\relax
  \si@unit@parse@block@den@cnt\z@\relax
  \si@bool@false\si@unit@parse@per@last@bool
  \si@bool@false\si@unit@parse@per@current@bool
}
\newcommand*{\si@unit@parse@init@aux}[1]{%
  \si@let@Nc#1{si@unit@macro@\string#1}%
}
\newcommand*{\si@unit@parse@last@if@F}[1]{%
  \si@meaning@eq@cs@if@F
    {si@unit@parse@type@last\si@unit@parse@queue@use}%
    {si@unit@parse@type@#1}%
}
\newcommand*{\si@unit@parse@last@if@T}[1]{%
  \si@meaning@eq@cs@if@T
    {si@unit@parse@type@last\si@unit@parse@queue@use}%
    {si@unit@parse@type@#1}%
}
\newcommand*{\si@unit@parse@last@if@TF}[1]{%
  \si@meaning@eq@cs@if@TF
    {si@unit@parse@type@last\si@unit@parse@queue@use}%
    {si@unit@parse@type@#1}%
}
\newcommand*{\si@unit@parse@options}[1]{%
  \si@csname@if@T{si@unit@options@\expandafter\string\@car#1\@nil}{%
    \edef\si@tempa{%
      \expandafter\expandafter\expandafter\unexpanded
      \expandafter\expandafter\expandafter{%
        \csname si@unit@options@\expandafter\string\@car#1\@nil
          \endcsname
      },%
      \expandafter\unexpanded\expandafter{\si@unit@internal@opts}%
    }%
    \expandafter\sisetup\expandafter{\si@tempa}%
  }%
}
\newcommand*{\si@unit@parse@queue@use}{%
  \si@bool@if@T\si@unit@parse@fraction@bool{%
    \si@bool@if@T\si@unit@parse@per@current@bool{@den}%
  }%
}
\newcommand*{\si@unit@parse@store}[2]{%
  \@nameuse{si@unit@parse@store@#1}{#2}%
}
\newcommand*{\si@unit@parse@store@add@n}[1]{%
  \si@add@right@cs@n{si@unit@parse@block\si@unit@parse@queue@use}{#1}%
}
\newcommand*{\si@unit@parse@store@add@o}[1]{%
  \si@add@right@cs@o{si@unit@parse@block\si@unit@parse@queue@use}{#1}%
}
\newcommand*{\si@unit@parse@store@power}[1]{%
  \si@unit@parse@last@if@T{qual}{%
    \si@bool@if@F\si@unit@parse@qual@sub@bool{%
      \si@unit@parse@bracket{block\si@unit@parse@queue@use}%
    }%
    \si@unit@parse@store@power@aux
  }%
  \si@unit@parse@last@if@T{unit}{%
    \si@unit@parse@store@power@aux
  }%
  \si@clear@macro\si@unit@parse@power@current
}
\newcommand*{\si@unit@parse@store@power@aux}{%
  \si@unit@parse@store@type{power}%
  \si@bool@if@T\si@unit@parse@per@current@bool{%
    \si@bool@if@F\si@unit@parse@fraction@bool{%
      \si@unit@parse@store@power@inv
    }%
  }%
  \def\si@tempa{1}%
  \si@meaning@eq@if@F\si@unit@parse@power@current\si@tempa{%
    \si@unit@parse@store@add@o{%
      \expandafter^\expandafter{\si@unit@parse@power@current}%
    }%
  }%
}
\newcommand*{\si@unit@parse@store@power@inv}{%
  \si@in@if@TF\si@unit@parse@power@current{-}{%
    \def\si@tempa##1-##2\si@stop{%
      \def\si@unit@parse@power@current{##2}%
    }%
  }{%
    \si@add@left@n\si@unit@parse@power@current{-}%
  }%
}
\newcommand*{\si@unit@parse@store@prefix}[1]{%
  \si@unit@parse@last@if@F{prefix}{%
    \si@unit@parse@store@type{prefix}%
    \si@unit@parse@block@new{#1}%
  }%
}
\newcommand*{\si@unit@parse@store@qual}[1]{%
  \si@unit@parse@last@if@T{unit}{%
    \si@unit@parse@store@add@o{\si@unit@parse@qual@format{#1}}%
    \si@unit@parse@store@type{qual}%
  }%
}
\newcommand*{\si@unit@parse@store@type}[1]{%
  \si@let@cc{si@unit@parse@type@last\si@unit@parse@queue@use}%
    {si@unit@parse@type@#1}%
}
\newcommand*{\si@unit@parse@store@unit}[1]{%
  \si@count@incr@cs{si@unit@parse@block\si@unit@parse@queue@use @cnt}%
  \si@unit@parse@last@if@TF{prefix}{%
    \si@unit@parse@store@type{unit}%
    \si@unit@parse@store@add@n{#1}%
  }{%
    \si@unit@parse@store@type{unit}%
    \si@unit@parse@block@new{#1}%
  }%
}
\newcommand*{\si@unit@out@literal@unit}{}
\newcommand*{\si@unit@out@bracket@close}{}
\newcommand*{\si@unit@out@bracket@open}{}
\si@bool@new\si@unit@out@bracket@use@bool
\si@bool@new\si@unit@out@break@bool
\si@bool@new\si@unit@out@lit@allow@bool
\newcommand*{\si@unit@out@num@sep}{}
\newcommand*{\si@unit@out@unit@sep}{}
\newcommand*{\si@unit@out@unit@space}{}
\pgfkeys{
  /siunitx/units/output,
  allow literal units/.is siunitx switch = {unit@out@lit@allow},
  allow number-unit breaks/.is siunitx switch = {unit@out@break},
  close bracket/.store in                = \si@unit@out@bracket@close,
  inter-unit separator/.store in         = \si@unit@out@unit@sep,
  inter-unit space/.store in             = \si@unit@out@unit@space,
  number-unit separator/.store in        = \si@unit@out@num@sep,
  open bracket/.store in                 = \si@unit@out@bracket@open,
  use brackets/.is siunitx switch        = {unit@out@bracket@use}, %(
  allow literal units   = true,
  allow number-unit breaks = false,
  close bracket         = ),
  inter-unit separator  = \,,
  inter-unit space      = \,,
  number-unit separator = \,,
  open bracket          = (, %
  use brackets          = true
}
\newcommand*{\si@unit@out@literal}[1]{%
  \si@loop@over@macro\si@unit@def@list\si@unit@out@literal@aux
  \si@unit@out@literal@print{#1}%
}
\newcommand*{\si@unit@out@literal@aux}[1]{%
  \si@let@Nc#1{si@unit@literal@\string#1}%
}
\si@catcode@set{46}{13}% .
\si@catcode@set{38}{13}% &
\newcommand*{\si@unit@out@literal@print}[1]{%
  \def\si@unit@out@literal@unit{#1}%
  \si@unit@out@replace@fullstops\si@unit@out@literal@unit
  \si@unit@out@replace@tildes\si@unit@out@literal@unit
  \begingroup
    \si@catcode@set{38}{13}% &
    \si@catcode@set{126}{13}% ~
    \let.\si@unit@out@unit@sep
    \let&\si@unit@out@unit@space
    \protected@edef\si@unit@out@literal@unit{\si@unit@out@literal@unit}%
    \si@print@unit@o{\si@unit@out@literal@unit}%
  \endgroup
}
\si@catcode@set{46}{12}% .
\si@lccode@set{38}{46}% & -> .
\lowercase{%
  \newcommand*{\si@unit@out@replace@fullstops}[1]{%
    \si@replace@all@in#1{.}{&}%
  }
}
\si@lccode@set{38}{0}% & -> &
\newcommand*{\si@unit@out@replace@tildes}[1]{%
  \si@replace@all@in#1{~}{&}%
}
\si@catcode@set{38}{4}% &
\newcommand*{\si@unit@out@sep@print}{%
  \ensuremath{%
    \si@bool@if@TF\si@unit@out@break@bool{%
      \allowbreak
    }{%
      \nobreak
    }%
    \si@unit@out@num@sep
  }%
}
\si@bool@new\si@symbol@redefine@bool

\si@keys@family{symbols}
\pgfkeys{
  /siunitx/symbols,
  redefine symbols/.is siunitx switch = {symbol@redefine},
  redefine symbols = true
}
\newcommand*{\si@symbol@redefine}{%
  \si@bool@if@T\si@symbol@redefine@bool{%
    \@ifpackageloaded{textcomp}{%
      \sisetup{
        symbols/maths/degree = \text{\textdegree},
        symbols/text/degree  = \textdegree
      }%
      \@ifpackageloaded{mathptmx}{}{%
        \sisetup{
          symbols/text/micro = \textmu,
          symbols/text/ohm   = \textomega
        }%
      }%
      \def\si@tempa{OT1}%
      \si@meaning@eq@if@T\si@tempa\encodingdefault{%
        \sisetup{
          symbols/maths/angstrom = \text{\capitalring{A}},
          symbols/text/angstrom  = \capitalring{A}
        }%
      }%
    }{}%
    \@ifpackageloaded{upgreek}{%
      \sisetup{
        symbols/maths/ohm = \Upomega
      }
    }{}%
  }%
}
\AtBeginDocument{\si@symbol@redefine}
\newcommand*{\si@symbol@maths@angstrom}{}
\newcommand*{\si@symbol@maths@arcminute}{}
\newcommand*{\si@symbol@maths@arcsecond}{}
\newcommand*{\si@symbol@maths@celsius}{}
\newcommand*{\si@symbol@maths@degree}{}
\newcommand*{\si@symbol@maths@micro}{}
\newcommand*{\si@symbol@maths@ohm}{}
%%\begin{macro}{\si@symbol@text@angstrom}
\newcommand*{\si@symbol@text@angstrom}{}
\newcommand*{\si@symbol@text@arcminute}{}
\newcommand*{\si@symbol@text@arcsecond}{}
\newcommand*{\si@symbol@text@celsius}{}
\newcommand*{\si@symbol@text@degree}{}
\newcommand*{\si@symbol@text@micro}{}
\newcommand*{\si@symbol@text@ohm}{}
\si@keys@family{symbols/maths}
\pgfkeys{
  /siunitx/symbols/maths,
  angstrom/.store in  = \si@symbol@maths@angstrom,
  arcminute/.store in = \si@symbol@maths@arcminute,
  arcsecond/.store in = \si@symbol@maths@arcsecond,
  celsius/.store in   = \si@symbol@maths@celsius,
  degree/.store in    = \si@symbol@maths@degree,
  micro/.store in     = \si@symbol@maths@micro,
  ohm/.store in       = \si@symbol@maths@ohm,
  angstrom  = \text{\AA},
  arcminute = {}^{\prime},
  arcsecond = {}^{\prime\prime},
  celsius   = {}^{\circ}\kern-\scriptspace C,
  degree    = {}^{\circ},
  micro     = \si@symbol@maths@mu,
  ohm       = \text{\ensuremath{\Omega}}
}
\si@keys@family{symbols/math}
\pgfkeys{
  /siunitx/symbols/math,
  angstrom/.store in  = \si@symbol@maths@angstrom,
  arcminute/.store in = \si@symbol@maths@arcminute,
  arcsecond/.store in = \si@symbol@maths@arcsecond,
  celsius/.store in   = \si@symbol@maths@celsius,
  degree/.store in    = \si@symbol@maths@degree,
  micro/.store in     = \si@symbol@maths@micro,
  ohm/.store in       = \si@symbol@maths@ohm,
}
\si@keys@family{symbols/text}
\pgfkeys{
  /siunitx/symbols/text,
  angstrom/.store in  = \si@symbol@text@angstrom,
  arcminute/.store in = \si@symbol@text@arcminute,
  arcsecond/.store in = \si@symbol@text@arcsecond,
  celsius/.store in   = \si@symbol@text@celsius,
  degree/.store in    = \si@symbol@text@degree,
  micro/.store in     = \si@symbol@text@micro,
  ohm/.store in       = \si@symbol@text@ohm,
  angstrom  = \AA,
  arcminute = \ensuremath{{}^{\prime}},
  arcsecond = \ensuremath{{}^{\prime\prime}},
  celsius   = \ensuremath{{}^{\circ}}\kern-\scriptspace C,
  degree    = \ensuremath{{}^{\circ}},
  micro     = \si@symbol@text@mu,
  ohm       = \ensuremath{\Omega}
}
\newcommand*{\si@symbol@new}[1]{%
  \expandafter\si@newcommand\expandafter*\expandafter{%
    \csname SIUnitSymbol#1\endcsname
  }{%
    \si@mode@maths@if@TF{%
      \lowercase{\@nameuse{si@symbol@maths@#1}}%
    }{%
      \lowercase{\@nameuse{si@symbol@text@#1}}%
    }%
  }%
}
\si@symbol@new{Angstrom}
\si@symbol@new{Arcminute}
\si@symbol@new{Arcsecond}
\si@symbol@new{Celsius}
\si@symbol@new{Degree}
\si@symbol@new{Micro}
\si@symbol@new{Ohm}
\DeclareFontEncoding{TS1}{}{}
\DeclareFontSubstitution{TS1}{cmr}{m}{n}
\DeclareTextSymbol{\si@symbol@text@mu}{TS1}{181}
\DeclareTextSymbolDefault{\si@symbol@text@mu}{TS1}
\newcommand*{\si@symbol@check@upgreek}{%
  \@ifpackageloaded{upgreek}{%
    \let\si@symbol@maths@mu\upmu
  }{%
    \DeclareFontFamily{OML}{eur}{\skewchar\font127}%
    \DeclareFontShape{OML}{eur}{m}{n}%
      {<-6> eurm5 <6-8> eurm7 <8-> eurm10}{}%
    \DeclareSymbolFont{si@symbol}{OML}{eur}{m}{n}%
    \DeclareMathSymbol{\si@symbol@maths@mu}{\mathord}{si@symbol}{22}%
  }%
}
\AtBeginDocument{\si@symbol@check@upgreek}
\newcommand*{\DeclareSIPower}{%
  \@ifstar{%
    \si@unit@def@power@post
  }{%
    \si@unit@def@power
  }%
}
\newcommand*{\DeclareSIPrefix}{%
  \@ifstar{%
    \si@unit@def@prefix@binary
  }{%
    \si@unit@def@prefix
  }%
}
\newcommand*{\DeclareSIQualifier}{%
  \si@unit@def@qual
}
\newcommand*{\DeclareSIUnit}[2][]{%
  \si@unit@def@unit{#2}{#1}%
}
\@onlypreamble\DeclareSIPower
\@onlypreamble\DeclareSIPrefix
\@onlypreamble\DeclareSIQualifier
\@onlypreamble\DeclareSIUnit
\si@newcommand*{\sisetup}[1]{%
  \pgfqkeys{/siunitx}{#1}%
}
\si@newcommand*{\num}[2][]{%
  \begingroup
    \sisetup{#1}%
    \si@num@internal{#2}%
  \endgroup
}
\newcommand*{\si@num@internal}[1]{%
  \si@num@pre@process{#1}%
  \si@bool@if@F\si@num@pre@error@bool{%
    \si@num@in@parse@o{\si@num@pre@arg}%
    \si@bool@if@F\si@num@in@error@bool{%
      \si@num@post@process
      \si@num@out@process
      \si@num@print
    }%
  }%
}
\si@newcommand*{\SI}[2][]{%
  \begingroup
    \def\si@tempa{{#1}{#2}}%
    \si@unit@internal@i
}
\newcommand*{\si@unit@internal@i}[2][]{%
  \expandafter\si@unit@internal@ii\si@tempa{#1}{#2}%
}
\newcommand*{\si@unit@internal@ii}[4]{% TEMP
    \sisetup{#1}%
    \def\si@unit@internal@opts{#1}%
    \si@unit@in@parse{#3}%
    \si@num@internal{#2}%
    \si@bool@if@F\si@num@in@error@bool{%
      \si@empty@tlist@if@T{#4}{%
        \let\si@unit@out@sep@print\relax
      }%
    }%
    \si@unit@in@parse{#4}%
  \endgroup
}
\newcommand*{\si@unit@internal@opts}{}
\si@newcommand*{\si}[2][]{%
  \begingroup
    \sisetup{#1}%
    \si@unit@in@parse{#2}%
  \endgroup
}
\DeclareSIUnit{\kilogram}{\kilo\gram}
\DeclareSIUnit{\metre}{m}
\DeclareSIUnit{\meter}{\metre}
\DeclareSIUnit{\mole}{mol}
\DeclareSIUnit{\second}{s}
\DeclareSIUnit{\ampere}{A}
\DeclareSIUnit{\kelvin}{K}
\DeclareSIUnit{\candela}{cd}
\DeclareSIUnit{\gram}{g}
\DeclareSIPrefix{\yocto}{y}{-24}
\DeclareSIPrefix{\zepto}{z}{-21}
\DeclareSIPrefix{\atto}{a}{-18}
\DeclareSIPrefix{\femto}{f}{-15}
\DeclareSIPrefix{\pico}{p}{-12}
\DeclareSIPrefix{\nano}{n}{-9}
\DeclareSIPrefix{\micro}{\SIUnitSymbolMicro}{-6}
\DeclareSIPrefix{\milli}{m}{-3}
\DeclareSIPrefix{\centi}{c}{-2}
\DeclareSIPrefix{\deci}{d}{-1}
\DeclareSIPrefix{\deca}{da}{1}
\DeclareSIPrefix{\deka}{da}{1}
\DeclareSIPrefix{\hecto}{h}{2}
\DeclareSIPrefix{\kilo}{k}{3}
\DeclareSIPrefix{\mega}{M}{6}
\DeclareSIPrefix{\giga}{G}{9}
\DeclareSIPrefix{\tera}{T}{12}
\DeclareSIPrefix{\peta}{P}{15}
\DeclareSIPrefix{\exa}{E}{18}
\DeclareSIPrefix{\zetta}{Z}{21}
\DeclareSIPrefix{\yotta}{Y}{24}
\DeclareSIUnit{\becquerel}{Bq}
\DeclareSIUnit{\celsius}{\SIUnitSymbolCelsius}
\DeclareSIUnit{\coulomb}{C}
\DeclareSIUnit{\farad}{F}
\DeclareSIUnit{\gray}{Gy}
\DeclareSIUnit{\hertz}{Hz}
\DeclareSIUnit{\henry}{H}
\DeclareSIUnit{\joule}{J}
\DeclareSIUnit{\katal}{kat}
\DeclareSIUnit{\lumen}{lm}
\DeclareSIUnit{\lux}{lx}
\DeclareSIUnit{\newton}{N}
\DeclareSIUnit{\ohm}{\SIUnitSymbolOhm}
\DeclareSIUnit{\pascal}{Pa}
\DeclareSIUnit{\radian}{rad}
\DeclareSIUnit{\siemens}{S}
\DeclareSIUnit{\sievert}{Sv}
\DeclareSIUnit{\steradian}{sr}
\DeclareSIUnit{\tesla}{T}
\DeclareSIUnit{\volt}{V}
\DeclareSIUnit{\watt}{W}
\DeclareSIUnit{\weber}{Wb}
\DeclareSIUnit[units/output/number-unit separator={}]
  {\arcmin}{\arcminute}
\DeclareSIUnit[units/output/number-unit separator={}]
  {\arcminute}{\SIUnitSymbolArcminute}
\DeclareSIUnit[units/output/number-unit separator={}]
  {\arcsecond}{\SIUnitSymbolArcsecond}
\DeclareSIUnit{\day}{d}
\DeclareSIUnit[units/output/number-unit separator={}]
  {\degree}{\SIUnitSymbolDegree}
\DeclareSIUnit{\hectare}{ha}
\DeclareSIUnit{\hour}{h}
\DeclareSIUnit{\litre}{l}
\DeclareSIUnit{\liter}{L}
\DeclareSIUnit{\minute}{min}
\DeclareSIUnit{\percent}{\char37}
\DeclareSIUnit{\tonne}{t}
\DeclareSIUnit{\astronomicalunit}{ua}
\DeclareSIUnit{\atomicmassunit}{u}
\DeclareSIUnit{\electronvolt}{eV}
\DeclareSIUnit{\dalton}{Da}
\DeclareSIUnit{\clight}{\text{\ensuremath{c_{0}}}}
\DeclareSIUnit{\electronmass}{\text{\ensuremath{m_{\text{e}}}}}
\DeclareSIUnit{\planckbar}{\text{\ensuremath{\hbar}}}
\DeclareSIUnit{\elementarycharge}{\text{\ensuremath{e}}}
\DeclareSIUnit{\bohr}{\text{\ensuremath{a_{0}}}}
\DeclareSIUnit{\hartree}{\text{\ensuremath{E_{\textup{h}}}}}
\DeclareSIUnit{\angstrom}{\SIUnitSymbolAngstrom}
\DeclareSIUnit{\bar}{bar}
\DeclareSIUnit{\barn}{b}
\DeclareSIUnit{\bel}{B}
\DeclareSIUnit{\decibel}{\deci\bel}
\DeclareSIUnit{\knot}{kn}
\DeclareSIUnit{\mmHg}{mmHg}
\DeclareSIUnit{\nauticalmile}{M}
\DeclareSIUnit{\neper}{Np}
\DeclareSIPower{\square}{2}
\DeclareSIPower*{\squared}{2}
\DeclareSIPower{\cubic}{3}
\DeclareSIPower*{\cubed}{3}
\si@catcode@restore
\si@lccode@restore
%% 
%% Copyright (C) 2008-2009 by
%%   Joseph Wright <joseph.wright@morningstar2.co.uk>
%% 
%% It may be distributed and/or modified under the conditions of
%% the LaTeX Project Public License (LPPL), either version 1.3c of
%% this license or (at your option) any later version.  The latest
%% version of this license is in the file:
%% 
%%    http://www.latex-project.org/lppl.txt
%% 
%% This work is "maintained" (as per LPPL maintenance status) by
%%   Joseph Wright.
%% 
%% This work consists of the file  siunitx.dtx
%%           and the derived files siunitx.pdf,
%%                                 siunitx.sty and
%%                                 siunitx.ins.
%% 
%%
%% End of file `siunitx.sty'.