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mandi.sty
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%%
%% This is file `mandi.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% mandi.dtx (with options: `package')
%%
%% Copyright (C) 2021-2024 by Paul J. Heafner <heafnerj@gmail.com>
%% ---------------------------------------------------------------------------
%% This work may be distributed and/or modified under the conditions of the
%% LaTeX Project Public License, either version 1.3c of this license or (at
%% your option) any later version. The latest version of this license is in
%% https://www.latex-project.org/lppl.txt
%% and version 1.3c or later is part of all distributions of LaTeX version
%% 2005/12/01 or later.
%%
%% This work has the LPPL maintenance status `maintained'.
%%
%% The Current Maintainer of this work is Paul J. Heafner.
%%
%% This work consists of the files mandi.dtx
%% mandistudent.dtx
%% mandiexp.dtx
%% mandi.ins
%% mandi.pdf
%% README.md
%%
%% and includes the derived files mandi.sty
%% mandistudent.sty
%% mandiexp.sty
%% vdemo.py (not needed)
%% ---------------------------------------------------------------------------
%%
\def\mandi@version{3.2.2a}
\def\mandi@date{2024-09-13}
\NeedsTeXFormat{LaTeX2e}[2020-02-02]
\DeclareRelease{v3.2.2a}{2024-09-13}{mandi.sty}
\DeclareCurrentRelease{v\mandi@version}{\mandi@date}
\ProvidesPackage{mandi}
[\mandi@date\space v\mandi@version\space Macros for physical quantities]
\newcommand*{\mandiversion}{v\mandi@version\space dated \mandi@date}
\RequirePackage{pgfopts}
\RequirePackage{array}
\RequirePackage{iftex}
\RequirePackage{mathtools}
\RequirePackage{unicode-math}
\unimathsetup{warnings-off={mathtools-colon,mathtools-overbracket}}
\IfFormatAtLeastTF{2020-10-01}
{}%
{\RequirePackage{xparse}}%
\RequireLuaTeX
\newcommand*{\mandi@selectunits}{}
\newcommand*{\mandi@selectprecision}{}
\newcommand*{\mandi@selectapproximate}[2]{#1}
\newcommand*{\mandi@selectprecise}[2]{#2}
\newcommand*{\mandi@selectbaseunits}[3]{#1}
\newcommand*{\mandi@selectderivedunits}[3]{#2}
\newcommand*{\mandi@selectalternateunits}[3]{#3}
\NewDocumentCommand{\alwaysusebaseunits}{}
{\renewcommand*{\mandi@selectunits}{\mandi@selectbaseunits}}%
\NewDocumentCommand{\alwaysusederivedunits}{}
{\renewcommand*{\mandi@selectunits}{\mandi@selectderivedunits}}%
\NewDocumentCommand{\alwaysusealternateunits}{}
{\renewcommand*{\mandi@selectunits}{\mandi@selectalternateunits}}%
\NewDocumentCommand{\alwaysuseapproximateconstants}{}
{\renewcommand*{\mandi@selectprecision}{\mandi@selectapproximate}}%
\NewDocumentCommand{\alwaysusepreciseconstants}{}
{\renewcommand*{\mandi@selectprecision}{\mandi@selectprecise}}%
\NewDocumentCommand{\hereusebaseunits}{ m }{\begingroup\alwaysusebaseunits#1\endgroup}%
\NewDocumentCommand{\hereusederivedunits}{ m }{\begingroup\alwaysusederivedunits#1\endgroup}%
\NewDocumentCommand{\hereusealternateunits}{ m }{\begingroup\alwaysusealternateunits#1\endgroup}%
\NewDocumentCommand{\hereuseapproximateconstants}{ m }{\begingroup\alwaysuseapproximateconstants#1\endgroup}%
\NewDocumentCommand{\hereusepreciseconstants}{ m }{\begingroup\alwaysusepreciseconstants#1\endgroup}%
\NewDocumentEnvironment{usebaseunits}{}{\alwaysusebaseunits}{}%
\NewDocumentEnvironment{usederivedunits}{}{\alwaysusederivedunits}{}%
\NewDocumentEnvironment{usealternateunits}{}{\alwaysusealternateunits}{}%
\NewDocumentEnvironment{useapproximateconstants}{}{\alwaysuseapproximateconstants}{}%
\NewDocumentEnvironment{usepreciseconstants}{}{\alwaysusepreciseconstants}{}%
\newif\ifusingpreciseconstants
\pgfkeys{%
/mandi/options/.cd,
initial@setup/.style={%
/mandi/options/buffered@units/.initial=alternate,%
},%
initial@setup,%
preciseconstants/.is if=usingpreciseconstants,%
units/.is choice,%
units/.default=derived,%
units/alternate/.style={/mandi/options/buffered@units=alternate},%
units/base/.style={/mandi/options/buffered@units=base},%
units/derived/.style={/mandi/options/buffered@units=derived},%
.unknown/.code={%
\typeout{}%
\typeout{mandi: You used unknown option '\pgfkeyscurrentname'.}%
},%
}%
\ProcessPgfPackageOptions{/mandi/options}
\typeout{}%
\typeout{mandi: You are using mandi \mandiversion.}%
\typeout{mandi: This package requires LuaLaTeX.}%
\typeout{mandi: Loadtime options...}
\newcommand*{\mandi@do@setup}{%
\csname alwaysuse\pgfkeysvalueof{/mandi/options/buffered@units}units\endcsname%
\typeout{mandi: You will get \pgfkeysvalueof{/mandi/options/buffered@units}\space units.}%
\ifusingpreciseconstants
\alwaysusepreciseconstants
\typeout{mandi: You will get precise constants.}%
\else
\alwaysuseapproximateconstants
\typeout{mandi: You will get approximate constants.}%
\fi
\typeout{}%
}%
\mandi@do@setup
\NewDocumentCommand{\mandisetup}{ m }%
{%
\IfValueT{#1}%
{%
\pgfqkeys{/mandi/options}{#1}
\typeout{}%
\typeout{mandi: mandisetup options...}
\mandi@do@setup
}%
}%
\NewDocumentCommand{\per}{}{/}
\NewDocumentCommand{\usk}{}{\cdot}
\NewDocumentCommand{\units}{ m m }%
{%
\IfValueTF{#2}
{%
{#1}{\,#2}
}%
{%
{#1}{}
}%
}%
\NewDocumentCommand{\ampere}{}{\symup{A}}
\NewDocumentCommand{\atomicmassunit}{}{\symup{u}}
\NewDocumentCommand{\candela}{}{\symup{cd}}
\NewDocumentCommand{\coulomb}{}{\symup{C}}
\NewDocumentCommand{\degree}{}{^{\circ}}
\NewDocumentCommand{\electronvolt}{}{\symup{eV}}
\NewDocumentCommand{\ev}{}{\electronvolt}
\NewDocumentCommand{\farad}{}{\symup{F}}
\NewDocumentCommand{\henry}{}{\symup{H}}
\NewDocumentCommand{\hertz}{}{\symup{Hz}}
\NewDocumentCommand{\joule}{}{\symup{J}}
\NewDocumentCommand{\kelvin}{}{\symup{K}}
\NewDocumentCommand{\kev}{}{\kiloelectronvolt}
\NewDocumentCommand{\kiloelectronvolt}{}{\symup{keV}}
\NewDocumentCommand{\kilogram}{}{\symup{kg}}
\NewDocumentCommand{\lightspeed}{}{\!\symup{c}}
\NewDocumentCommand{\megaelectronvolt}{}{\symup{MeV}}
\NewDocumentCommand{\meter}{}{\symup{m}}
\NewDocumentCommand{\metre}{}{\meter}
\NewDocumentCommand{\mev}{}{\megaelectronvolt}
\NewDocumentCommand{\mole}{}{\symup{mol}}
\NewDocumentCommand{\newton}{}{\symup{N}}
\NewDocumentCommand{\ohm}{}{\symup\Omega}
\NewDocumentCommand{\pascal}{}{\symup{Pa}}
\NewDocumentCommand{\radian}{}{\symup{rad}}
\NewDocumentCommand{\second}{}{\symup{s}}
\NewDocumentCommand{\siemens}{}{\symup{S}}
\NewDocumentCommand{\steradian}{}{\symup{sr}}
\NewDocumentCommand{\tesla}{}{\symup{T}}
\NewDocumentCommand{\volt}{}{\symup{V}}
\NewDocumentCommand{\watt}{}{\symup{W}}
\NewDocumentCommand{\weber}{}{\symup{Wb}}
\NewDocumentCommand{\tothetwo}{}{^{2}}
\NewDocumentCommand{\tothethree}{}{^{3}}
\NewDocumentCommand{\tothefour}{}{^{4}}
\NewDocumentCommand{\inverse}{}{^{-1}}
\NewDocumentCommand{\totheinversetwo}{}{^{-2}}
\NewDocumentCommand{\totheinversethree}{}{^{-3}}
\NewDocumentCommand{\totheinversefour}{}{^{-4}}
\NewDocumentCommand{\emptyunit}{}{\mdlgwhtsquare}
\NewDocumentCommand{\tento}{ m }{10^{#1}}
\NewDocumentCommand{\timestento}{ m }{\times\tento{#1}}
\NewDocumentCommand{\xtento}{ m }{\times\tento{#1}}
\ExplSyntaxOn
\cs_new:Npn \__mandi_newscalarquantity:nnnn #1#2#3#4
{
\cs_new:cpn {#1} ##1 {\units{##1}{\mandi@selectunits{#2}{#3}{#4}}}
\cs_new:cpn {#1value} ##1 {##1}
\cs_new:cpn {#1baseunits} ##1 {\units{##1}{\mandi@selectbaseunits{#2}{#3}{#4}}}
\cs_new:cpn {#1derivedunits} ##1 {\units{##1}{\mandi@selectderivedunits{#2}{#3}{#4}}}
\cs_new:cpn {#1alternateunits} ##1 {\units{##1}{\mandi@selectalternateunits{#2}{#3}{#4}}}
\cs_new:cpn {#1onlybaseunits} {\mandi@selectbaseunits{#2}{#3}{#4}}
\cs_new:cpn {#1onlyderivedunits} {\mandi@selectderivedunits{#2}{#3}{#4}}
\cs_new:cpn {#1onlyalternateunits} {\mandi@selectalternateunits{#2}{#3}{#4}}
}
\NewDocumentCommand{\NewScalarQuantity}{ m m O{#2} O{#2} }
{
\__mandi_newscalarquantity:nnnn { #1 }{ #2 }{ #3 }{ #4 }
}
\cs_new:Npn \__mandi_renewscalarquantity:nnnn #1#2#3#4
{
\cs_set:cpn {#1} ##1 {\units{##1}{\mandi@selectunits{#2}{#3}{#4}}}
\cs_set:cpn {#1value} ##1 {##1}
\cs_set:cpn {#1baseunits} ##1 {\units{##1}{\mandi@selectbaseunits{#2}{#3}{#4}}}
\cs_set:cpn {#1derivedunits} ##1 {\units{##1}{\mandi@selectderivedunits{#2}{#3}{#4}}}
\cs_set:cpn {#1alternateunits} ##1 {\units{##1}{\mandi@selectalternateunits{#2}{#3}{#4}}}
\cs_set:cpn {#1onlybaseunits} {\mandi@selectbaseunits{#2}{#3}{#4}}
\cs_set:cpn {#1onlyderivedunits} {\mandi@selectderivedunits{#2}{#3}{#4}}
\cs_set:cpn {#1onlyalternateunits} {\mandi@selectalternateunits{#2}{#3}{#4}}
}
\NewDocumentCommand{\RenewScalarQuantity}{ m m O{#2} O{#2} }
{
\__mandi_renewscalarquantity:nnnn { #1 }{ #2 }{ #3 }{ #4 }
}
\cs_new:Npn \__mandi_newvectorquantity:nnnn #1#2#3#4
{
\__mandi_newscalarquantity:nnnn { #1 }{ #2 }{ #3 }{ #4 }
\cs_new:cpn {vector#1} ##1 {\units{\mivector{##1}}{\mandi@selectunits{#2}{#3}{#4}}}
\cs_new:cpn {#1vector} ##1 {\units{\mivector{##1}}{\mandi@selectunits{#2}{#3}{#4}}}
\cs_new:cpn {vector#1value} ##1 {\mivector{##1}}
\cs_new:cpn {#1vectorvalue} ##1 {\mivector{##1}}
\cs_new:cpn {vector#1baseunits} ##1 {\units{\mivector{##1}}{\mandi@selectbaseunits{#2}{#3}{#4}}}
\cs_new:cpn {#1vectorbaseunits} ##1 {\units{\mivector{##1}}{\mandi@selectbaseunits{#2}{#3}{#4}}}
\cs_new:cpn {vector#1derivedunits} ##1 {\units{\mivector{##1}}{\mandi@selectderivedunits{#2}{#3}{#4}}}
\cs_new:cpn {#1vectorderivedunits} ##1 {\units{\mivector{##1}}{\mandi@selectderivedunits{#2}{#3}{#4}}}
\cs_new:cpn {vector#1alternateunits} ##1 {\units{\mivector{##1}}{\mandi@selectalternateunits{#2}{#3}{#4}}}
\cs_new:cpn {#1vectoralternateunits} ##1 {\units{\mivector{##1}}{\mandi@selectalternateunits{#2}{#3}{#4}}}
\cs_new:cpn {vector#1onlybaseunits} {\mandi@selectbaseunits{#2}{#3}{#4}}
\cs_new:cpn {#1vectoronlybaseunits} {\mandi@selectbaseunits{#2}{#3}{#4}}
\cs_new:cpn {vector#1onlyderivedunits} {\mandi@selectderivedunits{#2}{#3}{#4}}
\cs_new:cpn {#1vectoronlyderivedunits} {\mandi@selectderivedunits{#2}{#3}{#4}}
\cs_new:cpn {vector#1onlyalternateunits} {\mandi@selectalternateunits{#2}{#3}{#4}}
\cs_new:cpn {#1vectoronlyalternateunits} {\mandi@selectalternateunits{#2}{#3}{#4}}
}
\NewDocumentCommand{\NewVectorQuantity}{ m m O{#2} O{#2} }
{
\__mandi_newvectorquantity:nnnn { #1 }{ #2 }{ #3 }{ #4 }
}
\cs_new:Npn \__mandi_renewvectorquantity:nnnn #1#2#3#4
{
\__mandi_renewscalarquantity:nnnn { #1 }{ #2 }{ #3 }{ #4 }
\cs_set:cpn {vector#1} ##1 {\units{\mivector{##1}}{\mandi@selectunits{#2}{#3}{#4}}}
\cs_set:cpn {#1vector} ##1 {\units{\mivector{##1}}{\mandi@selectunits{#2}{#3}{#4}}}
\cs_set:cpn {vector#1value} ##1 {\mivector{##1}}
\cs_set:cpn {#1vectorvalue} ##1 {\mivector{##1}}
\cs_set:cpn {vector#1baseunits} ##1 {\units{\mivector{##1}}{\mandi@selectbaseunits{#2}{#3}{#4}}}
\cs_set:cpn {#1vectorbaseunits} ##1 {\units{\mivector{##1}}{\mandi@selectbaseunits{#2}{#3}{#4}}}
\cs_set:cpn {vector#1derivedunits} ##1 {\units{\mivector{##1}}{\mandi@selectderivedunits{#2}{#3}{#4}}}
\cs_set:cpn {#1vectorderivedunits} ##1 {\units{\mivector{##1}}{\mandi@selectderivedunits{#2}{#3}{#4}}}
\cs_set:cpn {vector#1alternateunits} ##1 {\units{\mivector{##1}}{\mandi@selectalternateunits{#2}{#3}{#4}}}
\cs_set:cpn {#1vectoralternateunits} ##1 {\units{\mivector{##1}}{\mandi@selectalternateunits{#2}{#3}{#4}}}
\cs_set:cpn {vector#1onlybaseunits} {\mandi@selectbaseunits{#2}{#3}{#4}}
\cs_set:cpn {#1vectoronlybaseunits} {\mandi@selectbaseunits{#2}{#3}{#4}}
\cs_set:cpn {vector#1onlyderivedunits} {\mandi@selectderivedunits{#2}{#3}{#4}}
\cs_set:cpn {#1vectoronlyderivedunits} {\mandi@selectderivedunits{#2}{#3}{#4}}
\cs_set:cpn {vector#1onlyalternateunits} {\mandi@selectalternateunits{#2}{#3}{#4}}
\cs_set:cpn {#1vectoronlyalternateunits} {\mandi@selectalternateunits{#2}{#3}{#4}}
}
\NewDocumentCommand{\RenewVectorQuantity}{ m m O{#2} O{#2} }
{
\__mandi_renewvectorquantity:nnnn { #1 }{ #2 }{ #3 }{ #4 }
}
\cs_new:Npn \__mandi_newphysicalconstant:nnnnnnn #1#2#3#4#5#6#7
{
\cs_new:cpn {#1} {\units{\mandi@selectprecision{#3}{#4}}{\mandi@selectunits{#5}{#6}{#7}}}
\cs_new:cpn {#1mathsymbol} {#2}
\cs_new:cpn {#1approximatevalue} {#3}
\cs_new:cpn {#1precisevalue} {#4}
\cs_new:cpn {#1baseunits}
{\units{\mandi@selectprecision{#3}{#4}}{\mandi@selectbaseunits{#5}{#6}{#7}}}
\cs_new:cpn {#1derivedunits}
{\units{\mandi@selectprecision{#3}{#4}}{\mandi@selectderivedunits{#5}{#6}{#7}}}
\cs_new:cpn {#1alternateunits}
{\units{\mandi@selectprecision{#3}{#4}}{\mandi@selectalternateunits{#5}{#6}{#7}}}
\cs_new:cpn {#1onlybaseunits} {\mandi@selectbaseunits{#5}{#6}{#7}}
\cs_new:cpn {#1onlyderivedunits} {\mandi@selectderivedunits{#5}{#6}{#7}}
\cs_new:cpn {#1onlyalternateunits} {\mandi@selectalternateunits{#5}{#6}{#7}}
}
\NewDocumentCommand{\NewPhysicalConstant}{ m m m m m O{#5} O{#5} }
{
\__mandi_newphysicalconstant:nnnnnnn { #1 }{ #2 }{ #3 }{ #4 }{ #5 }{ #6 }{ #7 }
}
\cs_new:Npn \__mandi_renewphysicalconstant:nnnnnnn #1#2#3#4#5#6#7
{
\cs_set:cpn {#1} {\units{\mandi@selectprecision{#3}{#4}}{\mandi@selectunits{#5}{#6}{#7}}}
\cs_set:cpn {#1mathsymbol} {#2}
\cs_set:cpn {#1approximatevalue} {#3}
\cs_set:cpn {#1precisevalue} {#4}
\cs_set:cpn {#1baseunits}
{\units{\mandi@selectprecision{#3}{#4}}{\mandi@selectbaseunits{#5}{#6}{#7}}}
\cs_set:cpn {#1derivedunits}
{\units{\mandi@selectprecision{#3}{#4}}{\mandi@selectderivedunits{#5}{#6}{#7}}}
\cs_set:cpn {#1alternateunits}
{\units{\mandi@selectprecision{#3}{#4}}{\mandi@selectalternateunits{#5}{#6}{#7}}}
\cs_set:cpn {#1onlybaseunits} {\mandi@selectbaseunits{#5}{#6}{#7}}
\cs_set:cpn {#1onlyderivedunits} {\mandi@selectderivedunits{#5}{#6}{#7}}
\cs_set:cpn {#1onlyalternateunits} {\mandi@selectalternateunits{#5}{#6}{#7}}
}
\NewDocumentCommand{\RenewPhysicalConstant}{ m m m m m O{#5} O{#5} }
{
\__mandi_renewphysicalconstant:nnnnnnn { #1 }{ #2 }{ #3 }{ #4 }{ #5 }{ #6 }{ #7 }
}
\ExplSyntaxOff
\NewVectorQuantity{acceleration}%
{\meter\usk\second\totheinversetwo}%
[\newton\per\kilogram]%
[\meter\per\second\tothetwo]%
\NewScalarQuantity{amount}%
{\mole}%
\NewVectorQuantity{angularacceleration}%
{\radian\usk\second\totheinversetwo}%
[\radian\per\second\tothetwo]%
[\radian\per\second\tothetwo]%
\NewScalarQuantity{angularfrequency}%
{\radian\usk\second\inverse}%
[\radian\per\second]%
[\radian\per\second]%
\NewVectorQuantity{angularimpulse}%
{\kilogram\usk\meter\tothetwo\usk\second\inverse}%
[\kilogram\usk\meter\tothetwo\per\second]%
[\kilogram\usk\meter\tothetwo\per\second]%
\NewVectorQuantity{angularmomentum}%
{\kilogram\usk\meter\tothetwo\usk\second\inverse}%
[\kilogram\usk\meter\tothetwo\per\second]%
[\kilogram\usk\meter\tothetwo\per\second]%
\NewVectorQuantity{angularvelocity}%
{\radian\usk\second\inverse}%
[\radian\per\second]%
[\radian\per\second]%
\NewScalarQuantity{area}%
{\meter\tothetwo}%
\NewScalarQuantity{areachargedensity}%
{\ampere\usk\second\usk\meter\totheinversetwo}%
[\coulomb\per\meter\tothetwo]%
[\coulomb\per\meter\tothetwo]%
\NewScalarQuantity{areamassdensity}%
{\kilogram\usk\meter\totheinversetwo}%
[\kilogram\per\meter\tothetwo]%
[\kilogram\per\meter\tothetwo]%
\NewScalarQuantity{capacitance}%
{\ampere\tothetwo\usk\second\tothefour\usk\kilogram\inverse\usk\meter\totheinversetwo}%
[\farad]%
[\coulomb\per\volt]%
\NewScalarQuantity{charge}%
{\ampere\usk\second}%
[\coulomb]%
[\coulomb]%
\NewVectorQuantity{cmagneticfield}%
{\kilogram\usk\meter\usk\ampere\inverse\usk\second\totheinversethree}%
[\newton\per\coulomb]%
[\newton\per\coulomb]%
\NewScalarQuantity{conductance}%
{\ampere\tothetwo\usk\second\tothethree\usk\kilogram\inverse\usk\meter\totheinversetwo}%
[\siemens]%
[\ampere\per\volt]%
\NewScalarQuantity{conductivity}%
{\ampere\tothetwo\usk\second\tothethree\usk\kilogram\inverse\usk\meter\totheinversethree}%
[\siemens\per\meter]%
[\ampere\per\volt\usk\meter]%
\NewScalarQuantity{conventionalcurrent}%
{\ampere}%
[\coulomb\per\second]%
[\ampere]%
\NewScalarQuantity{current}%
{\ampere}%
\NewScalarQuantity{currentdensity}%
{\ampere\usk\meter\totheinversetwo}%
[\coulomb\per\second\usk\meter\tothetwo]%
[\ampere\per\meter\tothetwo]%
\NewScalarQuantity{dielectricconstant}%
{}%
\NewVectorQuantity{direction}%
{}%
\NewVectorQuantity{displacement}%
{\meter}
\NewScalarQuantity{duration}%
{\second}%
\NewVectorQuantity{electricdipolemoment}%
{\ampere\usk\second\usk\meter}%
[\coulomb\usk\meter]%
[\coulomb\usk\meter]%
\NewVectorQuantity{electricfield}%
{\kilogram\usk\meter\usk\ampere\inverse\usk\second\totheinversethree}%
[\volt\per\meter]%
[\newton\per\coulomb]%
\NewScalarQuantity{electricflux}%
{\kilogram\usk\meter\tothethree\usk\ampere\inverse\usk\second\totheinversethree}%
[\volt\usk\meter]%
[\newton\usk\meter\tothetwo\per\coulomb]%
\NewScalarQuantity{electricpotential}%
{\kilogram\usk\meter\tothetwo\usk\ampere\inverse\usk\second\totheinversethree}%
[\volt]%
[\volt]%
\NewScalarQuantity{electricpotentialdifference}%
{\kilogram\usk\meter\tothetwo\usk\ampere\inverse\usk\second\totheinversethree}%
[\volt]%
[\volt]%
\NewScalarQuantity{electroncurrent}%
{\second\inverse}%
[\ensuremath{\symup{e}}\per\second]%
[\ensuremath{\symup{e}}\per\second]%
\NewScalarQuantity{emf}%
{\kilogram\usk\meter\tothetwo\usk\ampere\inverse\usk\second\totheinversethree}%
[\volt]%
[\volt]%
\NewScalarQuantity{energy}%
{\kilogram\usk\meter\tothetwo\usk\second\totheinversetwo}%
[\joule]%
[\joule]%
\NewScalarQuantity{energyinev}%
{\electronvolt}%
\NewScalarQuantity{energyinkev}%
{\kiloelectronvolt}%
\NewScalarQuantity{energyinmev}%
{\megaelectronvolt}%
\NewScalarQuantity{energydensity}%
{\kilogram\usk\meter\inverse\usk\second\totheinversetwo}%
[\joule\per\meter\tothethree]%
[\joule\per\meter\tothethree]%
\NewScalarQuantity{energyflux}%
{\kilogram\usk\second\totheinversethree}%
[\watt\per\meter\tothetwo]%
[\watt\per\meter\tothetwo]%
\NewScalarQuantity{entropy}%
{\kilogram\usk\meter\tothetwo\usk\second\totheinversetwo\usk\kelvin\inverse}%
[\joule\per\kelvin]%
[\joule\per\kelvin]%
\NewVectorQuantity{force}%
{\kilogram\usk\meter\usk\second\totheinversetwo}%
[\newton]%
[\newton]%
\NewScalarQuantity{frequency}%
{\second\inverse}%
[\hertz]%
[\hertz]%
\NewVectorQuantity{gravitationalfield}%
{\meter\usk\second\totheinversetwo}%
[\newton\per\kilogram]%
[\newton\per\kilogram]%
\NewScalarQuantity{gravitationalpotential}%
{\meter\tothetwo\usk\second\totheinversetwo}%
[\joule\per\kilogram]%
[\joule\per\kilogram]%
\NewScalarQuantity{gravitationalpotentialdifference}%
{\meter\tothetwo\usk\second\totheinversetwo}%
[\joule\per\kilogram]%
[\joule\per\kilogram]%
\NewVectorQuantity{impulse}%
{\kilogram\usk\meter\usk\second\inverse}%
[\newton\usk\second]%
[\newton\usk\second]%
\NewScalarQuantity{indexofrefraction}%
{}%
\NewScalarQuantity{inductance}%
{\kilogram\usk\meter\tothetwo\usk\ampere\totheinversetwo\usk\second\totheinversetwo}%
[\henry]%
[\volt\usk\second\per\ampere]%
\NewScalarQuantity{linearchargedensity}%
{\ampere\usk\second\usk\meter\inverse}%
[\coulomb\per\meter]%
[\coulomb\per\meter]%
\NewScalarQuantity{linearmassdensity}%
{\kilogram\usk\meter\inverse}%
[\kilogram\per\meter]%
[\kilogram\per\meter]%
\NewScalarQuantity{lorentzfactor}%
{}%
\NewScalarQuantity{luminousintensity}%
{\candela}%
\NewScalarQuantity{magneticcharge}%
{\ampere\usk\meter}%
\NewVectorQuantity{magneticdipolemoment}%
{\ampere\usk\meter\tothetwo}%
[\ampere\usk\meter\tothetwo]%
[\joule\per\tesla]%
\NewVectorQuantity{magneticfield}%
{\kilogram\usk\ampere\inverse\usk\second\totheinversetwo}%
[\newton\per\ampere\usk\meter]%
[\tesla]%
\NewScalarQuantity{magneticflux}%
{\kilogram\usk\meter\tothetwo\usk\ampere\inverse\usk\second\totheinversetwo}%
[\tesla\usk\meter\tothetwo]%
[\volt\usk\second]%
\NewScalarQuantity{mass}%
{\kilogram}%
\NewScalarQuantity{mobility}%
{\kilogram\usk\meter\tothetwo\usk\ampere\inverse\usk\second\totheinversefour}%
[\meter\tothetwo\per\volt\usk\second]%
[\coulomb\usk\meter\per\newton\usk\second]%
\NewScalarQuantity{momentofinertia}%
{\kilogram\usk\meter\tothetwo}%
[\joule\usk\second\tothetwo]%
[\kilogram\usk\meter\tothetwo]%
\NewVectorQuantity{momentum}%
{\kilogram\usk\meter\usk\second\inverse}%
[\kilogram\usk\meter\per\second]%
[\kilogram\usk\meter\per\second]%
\NewVectorQuantity{momentumflux}%
{\kilogram\usk\meter\inverse\usk\second\totheinversetwo}%
[\newton\per\meter\tothetwo]%
[\newton\per\meter\tothetwo]%
\NewScalarQuantity{numberdensity}%
{\meter\totheinversethree}%
[\per\meter\tothethree]%
[\per\meter\tothethree]%
\NewScalarQuantity{permeability}%
{\kilogram\usk\meter\usk\ampere\totheinversetwo\usk\second\totheinversetwo}%
[\henry\per\meter]%
[\tesla\usk\meter\per\ampere]%
\NewScalarQuantity{permittivity}%
{\ampere\tothetwo\usk\second\tothefour\usk\kilogram\inverse\usk\meter\totheinversethree}%
[\farad\per\meter]%
[\coulomb\tothetwo\per\newton\usk\meter\tothetwo]%
\NewScalarQuantity{planeangle}%
{\meter\usk\meter\inverse}%
[\radian]%
[\radian]%
\NewScalarQuantity{polarizability}%
{\ampere\tothetwo\usk\second\tothefour\usk\kilogram\inverse}%
[\coulomb\usk\meter\tothetwo\per\volt]%
[\coulomb\tothetwo\usk\meter\per\newton]%
\NewScalarQuantity{power}%
{\kilogram\usk\meter\tothetwo\usk\second\totheinversethree}%
[\watt]%
[\joule\per\second]%
\NewVectorQuantity{poynting}%
{\kilogram\usk\second\totheinversethree}%
[\watt\per\meter\tothetwo]%
[\watt\per\meter\tothetwo]%
\NewScalarQuantity{pressure}%
{\kilogram\usk\meter\inverse\usk\second\totheinversetwo}%
[\pascal]%
[\newton\per\meter\tothetwo]%
\NewScalarQuantity{relativepermeability}
{}%
\NewScalarQuantity{relativepermittivity}%
{}%
\NewScalarQuantity{resistance}%
{\kilogram\usk\meter\tothetwo\usk\ampere\totheinversetwo\usk\second\totheinversethree}%
[\ohm]%
[\ohm]%
\NewScalarQuantity{resistivity}%
{\kilogram\usk\meter\tothethree\usk\ampere\totheinversetwo\usk\second\totheinversethree}%
[\ohm\usk\meter]%
[\volt\usk\meter\per\ampere]%
\NewScalarQuantity{solidangle}%
{\meter\tothetwo\usk\meter\totheinversetwo}%
[\steradian]%
[\steradian]%
\NewScalarQuantity{specificheatcapacity}%
{\meter\tothetwo\usk\second\totheinversetwo\usk\kelvin\inverse}%
[\joule\per\kelvin\usk\kilogram]%
[\joule\per\kelvin\usk\kilogram]
\NewScalarQuantity{springstiffness}%
{\kilogram\usk\second\totheinversetwo}%
[\newton\per\meter]%
[\newton\per\meter]%
\NewScalarQuantity{springstretch}%
{\meter}%
\NewScalarQuantity{stress}%
{\kilogram\usk\meter\inverse\usk\second\totheinversetwo}%
[\pascal]%
[\newton\per\meter\tothetwo]%
\NewScalarQuantity{strain}%
{}%
\NewScalarQuantity{temperature}%
{\kelvin}%
\NewVectorQuantity{torque}%
{\kilogram\usk\meter\tothetwo\usk\second\totheinversetwo}%
[\newton\usk\meter]%
[\newton\usk\meter]%
\NewVectorQuantity{velocity}%
{\meter\usk\second\inverse}%
[\meter\per\second]%
[\meter\per\second]%
\NewVectorQuantity{velocityc}%
{\lightspeed}%
[\lightspeed]%
[\lightspeed]%
\NewScalarQuantity{volume}%
{\meter\tothethree}%
\NewScalarQuantity{volumechargedensity}%
{\ampere\usk\second\per\meter\totheinversethree}%
[\coulomb\per\meter\tothethree]%
[\coulomb\per\meter\tothethree]%
\NewScalarQuantity{volumemassdensity}%
{\kilogram\usk\meter\totheinversethree}%
[\kilogram\per\meter\tothethree]%
[\kilogram\per\meter\tothethree]%
\NewScalarQuantity{wavelength}%
{\meter}%
\NewVectorQuantity{wavenumber}%
{\meter\inverse}%
[\per\meter]%
[\per\meter]%
\NewScalarQuantity{work}%
{\kilogram\usk\meter\tothetwo\usk\second\totheinversetwo}%
[\joule]%
[\joule]%
\NewScalarQuantity{youngsmodulus}%
{\kilogram\usk\meter\inverse\usk\second\totheinversetwo}%
[\pascal]%
[\newton\per\meter\tothetwo]%
\AtBeginDocument{%
\DeclareRobustCommand{\hbar}{{\mathpalette\hbar@\relax\symup{h}}}%
}%
\newcommand*{\hbar@}[2]{%
\makebox[0pt][l]{\raisebox{-0.07\height}{\(\m@th#1\mkern-2mu\mathchar"AF\)}}%
\makebox[0pt][l]{\raisebox{-0.11\height}{\(\m@th#1\mkern-2mu\mathchar"AF\)}}%
}%
\NewPhysicalConstant{avogadro}%
{\symup{N_{A}}}%
{6\times10^{23}}{6.02214076\times10^{23}}%
{\mole\inverse}%
[\per\mole]%
[\per\mole]%
\NewPhysicalConstant{biotsavartconstant}%
{\symup{\frac{\mu_{o}}{4\pi}}}%
{10^{-7}}{10^{-7}}%
{\kilogram\usk\meter\usk\ampere\totheinversetwo\usk\second\totheinversetwo}%
[\henry\per\meter]%
[\tesla\usk\meter\per\ampere]%
\NewPhysicalConstant{bohrradius}%
{\symup{a_{o}}}%
{5.3\times10^{-11}}{5.29177210903\times10^{-11}}%
{\meter}%
\NewPhysicalConstant{boltzmann}%
{\symup{k_{B}}}%
{1.4\times10^{-23}}{1.380649\times10^{-23}}%
{\kilogram\usk\meter\tothetwo\usk\second\totheinversetwo\usk\kelvin\inverse}%
[\joule\per\kelvin]%
[\joule\per\kelvin]%
\NewPhysicalConstant{coulombconstant}%
{\symup{\frac{1}{4\pi\epsilon_{o}}}}%
{9\times10^{9}}{8.9875517923\times10^{9}}%
{\kilogram\usk\meter\tothethree\usk\ampere\totheinversetwo\usk\second\totheinversefour}%
[\meter\per\farad]%
[\newton\usk\meter\tothetwo\per\coulomb\tothetwo]%
\NewPhysicalConstant{earthmass}%
{\symup{M_{Earth}}}%
{6.0\times10^{24}}{5.9722\times10^{24}}%
{\kilogram}%
\NewPhysicalConstant{earthmoondistance}%
{\symup{d_{EM}}}%
{3.8\times10^{8}}{3.81550\times10^{8}}%
{\meter}%
\NewPhysicalConstant{earthradius}%
{\symup{R_{Earth}}}%
{6.4\times10^{6}}{6.3781\times10^{6}}%
{\meter}%
\NewPhysicalConstant{earthsundistance}%
{\symup{d_{ES}}}%
{1.5\times10^{11}}{1.496\times10^{11}}%
{\meter}%
\NewPhysicalConstant{electroncharge}%
{\symup{q_{e}}}%
{-\elementarychargeapproximatevalue}{-\elementarychargeprecisevalue}%
{\ampere\usk\second}%
[\coulomb]%
[\coulomb]%
\NewPhysicalConstant{electronCharge}%
{\symup{Q_{e}}}%
{-\elementarychargeapproximatevalue}{-\elementarychargeprecisevalue}%
{\ampere\usk\second}%
[\coulomb]%
[\coulomb]%
\NewPhysicalConstant{electronmass}%
{\symup{m_{e}}}%
{9.1\times10^{-31}}{9.1093837015\times10^{-31}}%
{\kilogram}%
\NewPhysicalConstant{elementarycharge}%
{\symup{e}}%
{1.6\times10^{-19}}{1.602176634\times10^{-19}}%
{\ampere\usk\second}%
[\coulomb]%
[\coulomb]%
\NewPhysicalConstant{finestructure}%
{\symup{\alpha}}%
{\frac{1}{137}}{7.2973525693\times10^{-3}}%
{}%
\NewPhysicalConstant{hydrogenmass}%
{\symup{m_{H}}}%
{1.7\times10^{-27}}{1.6737236\times10^{-27}}%
{\kilogram}%
\NewPhysicalConstant{moonearthdistance}%
{\symup{d_{ME}}}%
{3.8\times10^{8}}{3.81550\times10^{8}}%
{\meter}%
\NewPhysicalConstant{moonmass}%
{\symup{M_{Moon}}}%
{7.3\times10^{22}}{7.342\times10^{22}}%
{\kilogram}%
\NewPhysicalConstant{moonradius}%
{\symup{R_{Moon}}}%
{1.7\times10^{6}}{1.7371\times10^{6}}%
{\meter}%
\NewPhysicalConstant{mzofp}%
{\symup{\frac{\mu_{o}}{4\pi}}}%
{10^{-7}}{10^{-7}}%
{\kilogram\usk\meter\usk\ampere\totheinversetwo\usk\second\totheinversetwo}%
[\henry\per\meter]%
[\tesla\usk\meter\per\ampere]%
\NewPhysicalConstant{neutronmass}%
{\symup{m_{n}}}%
{1.7\times10^{-27}}{1.67492749804\times10^{-27}}%
{\kilogram}%
\NewPhysicalConstant{oofpez}%
{\symup{\frac{1}{4\pi\epsilon_{o}}}}%
{9\times10^{9}}{8.9875517923\times10^{9}}%
{\kilogram\usk\meter\tothethree\usk\ampere\totheinversetwo\usk\second\totheinversefour}%
[\meter\per\farad]%
[\newton\usk\meter\tothetwo\per\coulomb\tothetwo]%
\NewPhysicalConstant{oofpezcs}%
{\symup{\frac{1}{4\pi\epsilon_{o} c^2}}}%
{10^{-7}}{10^{-7}}%
{\kilogram\usk\meter\usk\ampere\totheinversetwo\usk\second\totheinversetwo}%
[\tesla\usk\meter\tothetwo]%
[\newton\usk\second\tothetwo\per\coulomb\tothetwo]%
\NewPhysicalConstant{planck}%
{\symup{h}}%
{6.6\times10^{-34}}{6.62607015\times10^{-34}}%
{\kilogram\usk\meter\tothetwo\usk\second\inverse}%
[\joule\usk\second]%
[\joule\usk\second]%
\NewPhysicalConstant{planckbar}%
{\hbar}%
{1.1\times10^{-34}}{1.054571817\times10^{-34}}%
{\kilogram\usk\meter\tothetwo\usk\second\inverse}%
[\joule\usk\second]%
[\joule\usk\second]
\NewPhysicalConstant{planckc}%
{\symup{hc}}%
{2.0\times10^{-25}}{1.98644586\times10^{-25}}%
{\kilogram\usk\meter\tothethree\usk\second\totheinversetwo}%
[\joule\usk\meter]%
[\joule\usk\meter]%
\NewPhysicalConstant{protoncharge}%
{\symup{q_p}}%
{+\elementarychargeapproximatevalue}{+\elementarychargeprecisevalue}%
{\ampere\usk\second}%
[\coulomb]%
[\coulomb]%
\NewPhysicalConstant{protonCharge}%
{\symup{Q_p}}%
{+\elementarychargeapproximatevalue}{+\elementarychargeprecisevalue}%
{\ampere\usk\second}%
[\coulomb]%
[\coulomb]%
\NewPhysicalConstant{protonmass}%
{\symup{m_p}}%
{1.7\times10^{-27}}{1.672621898\times10^{-27}}%
{\kilogram}%
\NewPhysicalConstant{rydberg}%
{\symup{R_{\infty}}}%
{1.1\times10^{7}}{1.0973731568160\times10^{7}}%
{\meter\inverse}%
\NewPhysicalConstant{speedoflight}%
{\symup{c}}%
{3\times10^{8}}{2.99792458\times10^{8}}%
{\meter\usk\second\inverse}%
[\meter\per\second]%
[\meter\per\second]
\NewPhysicalConstant{stefanboltzmann}%
{\symup{\sigma}}%
{5.7\times10^{-8}}{5.670374\times10^{-8}}%
{\kilogram\usk\second\totheinversethree\usk\kelvin\totheinversefour}%
[\watt\per\meter\tothetwo\usk\kelvin\tothefour]%
[\watt\per\meter\tothetwo\usk\kelvin\tothefour]
\NewPhysicalConstant{sunearthdistance}%
{\symup{d_{SE}}}%
{1.5\times10^{11}}{1.496\times10^{11}}%
{\meter}%
\NewPhysicalConstant{sunmass}%
{\symup{M_{Sun}}}%
{2.0\times10^{30}}{1.98855\times10^{30}}%
{\kilogram}%
\NewPhysicalConstant{sunradius}%
{\symup{R_{Sun}}}%
{7.0\times10^{8}}{6.957\times10^{8}}%
{\meter}%
\NewPhysicalConstant{surfacegravfield}%
{\symup{g}}%
{9.8}{9.807}%
{\meter\usk\second\totheinversetwo}%
[\newton\per\kilogram]%
[\newton\per\kilogram]%
\NewPhysicalConstant{universalgrav}%
{\symup{G}}%
{6.7\times10^{-11}}{6.67430\times10^{-11}}%
{\meter\tothethree\usk\kilogram\inverse\usk\second\totheinversetwo}%
[\newton\usk\meter\tothetwo\per\kilogram\tothetwo]%
[\newton\usk\meter\tothetwo\per\kilogram\tothetwo]%
\NewPhysicalConstant{vacuumpermeability}%
{\symup{\mu_o}}%
{4\pi\times10^{-7}}{4\pi\times10^{-7}}%
{\kilogram\usk\meter\usk\ampere\totheinversetwo\usk\second\totheinversetwo}%
[\henry\per\meter]%
[\tesla\usk\meter\per\ampere]%
\NewPhysicalConstant{vacuumpermittivity}%
{\symup{\epsilon_o}}%
{9\times10^{-12}}{8.854187817\times10^{-12}}%
{\ampere\tothetwo\usk\second\tothefour\usk\kilogram\inverse\usk\meter\totheinversethree}%
[\farad\per\meter]%
[\coulomb\tothetwo\per\newton\usk\meter\tothetwo]%
\ExplSyntaxOn
\NewDocumentCommand{\@aux}{ m }
{
\use:c { #1 }
}
\NewDocumentCommand{\@auy}{ m }
{
\normalfont\ttfamily\token_to_str:c { #1 }
}
\ExplSyntaxOff
\newcolumntype{M}{>{\(}p{0.25\linewidth}<{\)}}
\NewDocumentCommand{\CheckQuantity}{ m }
{%
\begin{center}
\begin{tabular}{MMM}
\textbf{command} & \multicolumn{2}{l}{\@auy{#1}} \tabularnewline
\text{\textbf{base}} & \text{\textbf{derived}} & \text{\textbf{alternate}} \tabularnewline
\@aux{#1onlybaseunits} & \@aux{#1onlyderivedunits} & \@aux{#1onlyalternateunits} \tabularnewline
\end{tabular}
\end{center}
}%
\NewDocumentCommand{\CheckConstant}{ m }
{%
\begin{center}
\begin{tabular}{MMM}
\textbf{command} & \multicolumn{2}{l}{\@auy{#1}} \tabularnewline
\text{\textbf{symbol}} & \text{\textbf{approximate}} & \text{\textbf{precise}} \tabularnewline
\@aux{#1mathsymbol} & \@aux{#1approximatevalue} & \@aux{#1precisevalue} \tabularnewline
\text{\textbf{base}} & \text{\textbf{derived}} & \text{\textbf{alternate}} \tabularnewline
\@aux{#1onlybaseunits} & \@aux{#1onlyderivedunits} & \@aux{#1onlyalternateunits} \tabularnewline
\end{tabular}
\end{center}
}%
\ExplSyntaxOn
\NewDocumentCommand{\mivector}{ O{,} m o }
{
\__mandi_vector:nn { #1 } { #2 }
\IfValueT{#3}{\,{#3}}
}
\seq_new:N \l__mandi_list_seq
\cs_new_protected:Npn \__mandi_vector:nn #1#2
{
\seq_set_split:Nnn \l__mandi_list_seq { , } { #2 }
\int_compare:nT { \seq_count:N \l__mandi_list_seq = 1 }
{
\msg_new:nnnn { mandi } { onecomponent }
{
More~than~one~component~expected. \iow_newline:
You~provided~one~component~to~a~command \iow_newline:
that~expects~a~vector.~Either~you~don't \iow_newline:
need~a~vector~here~or~you~didn't~supply \iow_newline:
all~the~components.
}
{
Decide~whether~or~not~you~really~need~a~vector~command~here. \iow_newline:
\msg_see_documentation_text:n { mandi }
}
\msg_fatal:nn { mandi } { onecomponent }
}
\left\langle
\seq_use:Nnnn \l__mandi_list_seq { #1 } { #1 } { #1 }
\right\rangle
}
\ExplSyntaxOff
\endinput
%%
%% End of file `mandi.sty'.