%%
%% 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}
  [2009/02/07 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
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}
\begingroup
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         The \@tempa\space package and siunitx are incompatible.
         \MessageBreak Use the `emulate=\@tempa' package option when
         loading siunitx
      }%
    }{}%
  }
\endgroup
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  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@text@if@T{%
    \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}{%
  \ifmmode\else
    \si@bool@true\si@font@set@text@bool
  \fi
}
\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}{unit}
\newcommand*{\si@print}[2]{%
  \begingroup
    \si@bool@if@F\si@font@set@bool{%
      \si@font@det@set
    }%
    \def\si@print@type{#1}%
    \si@print@codes
    \text{\si@print@set{#2}}%
  \endgroup
  \check@mathfonts
}
\newcommand*{\si@print@num}{%
  \si@print{num}%
}
\newcommand*{\si@print@unit}{%
  \si@print{unit}%
}
\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}% _
  \endlinechar\m@ne\relax
  \everyeof{\noexpand}%
  \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@set}[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}{}
\DeclareTextSymbolDefault{\si@print@minus}{TS1}
\DeclareTextSymbol{\si@print@minus}{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}{%
  \def\si@num@pre@arg{}%
  \def\si@num@pre@arg@den{}%
  \def\si@num@pre@arg@held{}%
  \def\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}{}
\newcommand*{\si@num@in@error}{}
\newcommand*{\si@num@in@parse}[1]{%
  \si@num@in@init
  \si@num@in@rescan{#1}%
  \si@empty@if@TF\si@num@in@arg{%
    \def\si@num@in@error{\m@ne}%
  }{%
    \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@bool@true\si@num@in@error
    \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
  \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}%
    \endlinechar\m@ne\relax
    \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}{%
  \let\si@num@in@error\si@true
  \si@log@error
}
\newcommand*{\si@num@in@try}{%
  \si@bool@if@F\si@num@in@error
}
\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@bool@if@F\si@num@in@error{%
    \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@nameedef{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@nameedef{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@nameedef{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@nameedef{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@nameedef{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@nameedef{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@nameedef{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@nameedef{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@nameedef{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@nameedef{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@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@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@empty@cs@if@F{si@num@out@mant}{%
    \si@empty@cs@if@F{si@num@out@exp}{%
      \si@num@out@bracket@comp{mant}%
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%% 
%% 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'.