\ProvidesPackage{physics-patch}[Version 3.1, July 29, 2025, Improved version of the physics package]
% physics-patch 3.1
% Last update: July 29, 2025
% Improved version of the physics package
%
% Author: Willie Shen (Willie169)
% Repository: https://github.com/Willie169/physics-patch
%
% This package is released under the LaTeX Project Public License (LPPL) 1.3c
% See https://www.latex-project.org/lppl/lppl-1-3c for the details of that license
% Many parts of this package are modified from the physics package, created by Sergio C. de la Barrera and licenced under LPPL 1.3
% See https://ctan.org/pkg/physics for the details of that package
%
% For documentation, see physics-patch.pdf

\RequirePackage{amsmath}
\RequirePackage{etoolbox}
\RequirePackage{xcolor}
\RequirePackage{xparse}
\RequirePackage{xstring}

% Options
\newif\ifoverride\overridetrue
\DeclareOption{nooverride}{\overridefalse}
\DeclareOption{override}{\overridetrue}
\newif\ifpretend\pretendtrue
\DeclareOption{nopretend}{\pretendfalse}
\DeclareOption{pretend}{\pretendtrue}
\newif\ifnosiintegrate\nosiintegratetrue
\DeclareOption{nosiintegrate}{\nosiintegratetrue}
\DeclareOption{siintegrate}{\nosiintegratefalse}
\newif\iforiginaldiv\originaldivtrue
\DeclareOption{nooriginaldiv}{\originaldivfalse}
\DeclareOption{originaldiv}{\originaldivtrue}
\newif\iftrig\trigtrue
\DeclareOption{notrig}{\trigfalse}
\DeclareOption{trig}{\trigtrue}
\def\dfd{\mathrm{d}}\def\dfD{\mathrm{D}}
\DeclareOption{italicdiff}{\def\dfd{d}\def\dfD{D}}
\DeclareOption{uprightdiff}{\def\dfd{\mathrm{d}}\def\dfD{\mathrm{D}}}
\DeclareDocumentCommand\vnabla{}{\boldsymbol\nabla}
\DeclareOption{arrowdel}{\DeclareDocumentCommand\vnabla{}{\vec{\boldsymbol\nabla}}}
\DeclareOption{bolddel}{\DeclareDocumentCommand\vnabla{}{\boldsymbol\nabla}}
\DeclareDocumentCommand\dotproduct{}{\cdot}
\DeclareOption{bolddot}{\DeclareDocumentCommand\dotproduct{}{\boldsymbol\cdot}}
\DeclareOption{plaindot}{\DeclareDocumentCommand\dotproduct{}{\cdot}}
\DeclareOption{forcedefault}{\overridetrue\pretendtrue\nosiintegratetrue\originaldivtrue\trigtrue\def\dfd{\mathrm{d}}\def\dfD{\mathrm{D}}\DeclareDocumentCommand\vnabla{}{\boldsymbol\nabla}\DeclareDocumentCommand\dotproduct{}{\cdot}}
\newif\ifshorttextgreek
\DeclareOption{noshorttextgreek}{\shorttextgreekfalse}
\DeclareOption{shorttextgreek}{\shorttextgreektrue}
\newif\ifshortvargreek
\DeclareOption{noshortvargreek}{\shortvargreekfalse}
\DeclareOption{shortvargreek}{\shortvargreektrue}
\newif\ifshortupgreek
\DeclareOption{noshortupgreek}{\shortupgreekfalse}
\DeclareOption{shortupgreek}{\shortupgreektrue}
\newif\ifshortupvargreek
\DeclareOption{noshortupvargreek}{\shortupvargreekfalse}
\DeclareOption{shortupvargreek}{\shortupvargreektrue}
\newif\ifshortboldgreek
\DeclareOption{noshortboldgreek}{\shortboldgreekfalse}
\DeclareOption{shortboldgreek}{\shortboldgreektrue}
\DeclareOption{noshortgreek}{\shorttextgreekfalse\shortvargreekfalse\shortupgreekfalse\shortupvargreekfalse\shortboldgreekfalse}
\DeclareOption{shortgreek}{\shorttextgreektrue\shortvargreektrue\shortupgreektrue\shortupvargreektrue\shortboldgreektrue}
\newif\ifshortmathrm
\DeclareOption{noshortmathrm}{\shortmathrmfalse}
\DeclareOption{shortmathrm}{\shortmathrmtrue}
\newif\ifshorttext
\DeclareOption{noshorttext}{\shorttextfalse}
\DeclareOption{shorttext}{\shorttexttrue}
\DeclareOption*{}
\ProcessOptions\relax

\newif\ifphysics
\IfPackageLoadedTF{physics}{\physicstrue}{\overridetrue\physicsfalse}

\ifpretend
  \makeatletter
  \@namedef{ver@physics.sty}{9999/99/99}
  \makeatother
\fi

% Shortgreek
\ifshorttextgreek
\DeclareDocumentCommand{\tgAlpha}{g}{\text{\textAlpha}}
\DeclareDocumentCommand{\tgBeta}{g}{\text{\textBeta}}
\DeclareDocumentCommand{\tgGamma}{g}{\text{\textGamma}}
\DeclareDocumentCommand{\tgDelta}{g}{\text{\textDelta}}
\DeclareDocumentCommand{\tgEpsilon}{g}{\text{\textEpsilon}}
\DeclareDocumentCommand{\tgZeta}{g}{\text{\textZeta}}
\DeclareDocumentCommand{\tgEta}{g}{\text{\textEta}}
\DeclareDocumentCommand{\tgTheta}{g}{\text{\textTheta}}
\DeclareDocumentCommand{\tgIota}{g}{\text{\textIota}}
\DeclareDocumentCommand{\tgKappa}{g}{\text{\textKappa}}
\DeclareDocumentCommand{\tgLambda}{g}{\text{\textLambda}}
\DeclareDocumentCommand{\tgMu}{g}{\text{\textMu}}
\DeclareDocumentCommand{\tgNu}{g}{\text{\textNu}}
\DeclareDocumentCommand{\tgXi}{g}{\text{\textXi}}
\DeclareDocumentCommand{\tgOmicron}{g}{\text{\textOmicron}}
\DeclareDocumentCommand{\tgPi}{g}{\text{\textPi}}
\DeclareDocumentCommand{\tgRho}{g}{\text{\textRho}}
\DeclareDocumentCommand{\tgSigma}{g}{\text{\textSigma}}
\DeclareDocumentCommand{\tgTau}{g}{\text{\textTau}}
\DeclareDocumentCommand{\tgUpsilon}{g}{\text{\textUpsilon}}
\DeclareDocumentCommand{\tgPhi}{g}{\text{\textPhi}}
\DeclareDocumentCommand{\tgChi}{g}{\text{\textChi}}
\DeclareDocumentCommand{\tgPsi}{g}{\text{\textPsi}}
\DeclareDocumentCommand{\tgOmega}{g}{\text{\textOmega}}
\DeclareDocumentCommand{\tgalpha}{g}{\text{\textalpha}}
\DeclareDocumentCommand{\tgbeta}{g}{\text{\textbeta}}
\DeclareDocumentCommand{\tggamma}{g}{\text{\textgamma}}
\DeclareDocumentCommand{\tgdelta}{g}{\text{\textdelta}}
\DeclareDocumentCommand{\tgepsilon}{g}{\text{\textepsilon}}
\DeclareDocumentCommand{\tgzeta}{g}{\text{\textzeta}}
\DeclareDocumentCommand{\tgeta}{g}{\text{\texteta}}
\DeclareDocumentCommand{\tgtheta}{g}{\text{\texttheta}}
\DeclareDocumentCommand{\tgiota}{g}{\text{\textiota}}
\DeclareDocumentCommand{\tgkappa}{g}{\text{\textkappa}}
\DeclareDocumentCommand{\tglambda}{g}{\text{\textlambda}}
\DeclareDocumentCommand{\tgmu}{g}{\text{\textmu}}
\DeclareDocumentCommand{\tgnu}{g}{\text{\textnu}}
\DeclareDocumentCommand{\tgxi}{g}{\text{\textxi}}
\DeclareDocumentCommand{\tgomicron}{g}{\text{\textomicron}}
\DeclareDocumentCommand{\tgpi}{g}{\text{\textpi}}
\DeclareDocumentCommand{\tgrho}{g}{\text{\textrho}}
\DeclareDocumentCommand{\tgsigma}{g}{\text{\textsigma}}
\DeclareDocumentCommand{\tgtau}{g}{\text{\texttau}}
\DeclareDocumentCommand{\tgupsilon}{g}{\text{\textupsilon}}
\DeclareDocumentCommand{\tgphi}{g}{\text{\textphi}}
\DeclareDocumentCommand{\tgchi}{g}{\text{\textchi}}
\DeclareDocumentCommand{\tgpsi}{g}{\text{\textpsi}}
\DeclareDocumentCommand{\tgomega}{g}{\text{\textomega}}
\fi
\ifshortvargreek
\DeclareDocumentCommand{\vAlpha}{}{\varAlpha}
\DeclareDocumentCommand{\vBeta}{}{\varBeta}
\DeclareDocumentCommand{\vGamma}{}{\varGamma}
\DeclareDocumentCommand{\vDelta}{}{\varDelta}
\DeclareDocumentCommand{\vEpsilon}{}{\varEpsilon}
\DeclareDocumentCommand{\vZeta}{}{\varZeta}
\DeclareDocumentCommand{\vEta}{}{\varEta}
\DeclareDocumentCommand{\vTheta}{}{\varTheta}
\DeclareDocumentCommand{\vIota}{}{\varIota}
\DeclareDocumentCommand{\vKappa}{}{\varKappa}
\DeclareDocumentCommand{\vLambda}{}{\varLambda}
\DeclareDocumentCommand{\vMu}{}{\varMu}
\DeclareDocumentCommand{\vNu}{}{\varNu}
\DeclareDocumentCommand{\vXi}{}{\varXi}
\DeclareDocumentCommand{\vOmicron}{}{\varOmicron}
\DeclareDocumentCommand{\vPi}{}{\varPi}
\DeclareDocumentCommand{\vRho}{}{\varRho}
\DeclareDocumentCommand{\vSigma}{}{\varSigma}
\DeclareDocumentCommand{\vTau}{}{\varTau}
\DeclareDocumentCommand{\vUpsilon}{}{\varUpsilon}
\DeclareDocumentCommand{\vPhi}{}{\varPhi}
\DeclareDocumentCommand{\vChi}{}{\varChi}
\DeclareDocumentCommand{\vPsi}{}{\varPsi}
\DeclareDocumentCommand{\vOmega}{}{\varOmega}
\DeclareDocumentCommand{\valpha}{}{\varalpha}
\DeclareDocumentCommand{\vbeta}{}{\varbeta}
\DeclareDocumentCommand{\vgamma}{}{\vargamma}
\DeclareDocumentCommand{\vdelta}{}{\vardelta}
\DeclareDocumentCommand{\vepsilon}{}{\varepsilon}
\DeclareDocumentCommand{\vzeta}{}{\varzeta}
\DeclareDocumentCommand{\veta}{}{\vareta}
\DeclareDocumentCommand{\vtheta}{}{\vartheta}
\DeclareDocumentCommand{\viota}{}{\variota}
\DeclareDocumentCommand{\vkappa}{}{\varkappa}
\DeclareDocumentCommand{\vlambda}{}{\varlambda}
\DeclareDocumentCommand{\vmu}{}{\varmu}
\DeclareDocumentCommand{\vnu}{}{\varnu}
\DeclareDocumentCommand{\vxi}{}{\varxi}
\DeclareDocumentCommand{\vomicron}{}{\varomicron}
\DeclareDocumentCommand{\vpi}{}{\varpi}
\DeclareDocumentCommand{\vrho}{}{\varrho}
\DeclareDocumentCommand{\vsigma}{}{\varsigma}
\DeclareDocumentCommand{\vtau}{}{\vartau}
\DeclareDocumentCommand{\vupsilon}{}{\varupsilon}
\DeclareDocumentCommand{\vphi}{}{\varphi}
\DeclareDocumentCommand{\vchi}{}{\varchi}
\DeclareDocumentCommand{\vpsi}{}{\varpsi}
\DeclareDocumentCommand{\vomega}{}{\varomega}
\fi
\ifshortupgreek
\DeclareDocumentCommand{\uAlpha}{}{\upAlpha}
\DeclareDocumentCommand{\uBeta}{}{\upBeta}
\DeclareDocumentCommand{\uGamma}{}{\upGamma}
\DeclareDocumentCommand{\uDelta}{}{\upDelta}
\DeclareDocumentCommand{\uEpsilon}{}{\upEpsilon}
\DeclareDocumentCommand{\uZeta}{}{\upZeta}
\DeclareDocumentCommand{\uEta}{}{\upEta}
\DeclareDocumentCommand{\uTheta}{}{\upTheta}
\DeclareDocumentCommand{\uIota}{}{\upIota}
\DeclareDocumentCommand{\uKappa}{}{\upKappa}
\DeclareDocumentCommand{\uLambda}{}{\upLambda}
\DeclareDocumentCommand{\uMu}{}{\upMu}
\DeclareDocumentCommand{\uNu}{}{\upNu}
\DeclareDocumentCommand{\uXi}{}{\upXi}
\DeclareDocumentCommand{\uOmicron}{}{\upOmicron}
\DeclareDocumentCommand{\uPi}{}{\upPi}
\DeclareDocumentCommand{\uRho}{}{\upRho}
\DeclareDocumentCommand{\uSigma}{}{\upSigma}
\DeclareDocumentCommand{\uTau}{}{\upTau}
\DeclareDocumentCommand{\uUpsilon}{}{\upUpsilon}
\DeclareDocumentCommand{\uPhi}{}{\upPhi}
\DeclareDocumentCommand{\uChi}{}{\upChi}
\DeclareDocumentCommand{\uPsi}{}{\upPsi}
\DeclareDocumentCommand{\uOmega}{}{\upOmega}
\DeclareDocumentCommand{\ualpha}{}{\upalpha}
\DeclareDocumentCommand{\ubeta}{}{\upbeta}
\DeclareDocumentCommand{\ugamma}{}{\upgamma}
\DeclareDocumentCommand{\udelta}{}{\updelta}
\DeclareDocumentCommand{\uepsilon}{}{\upepsilon}
\DeclareDocumentCommand{\uzeta}{}{\upzeta}
\DeclareDocumentCommand{\ueta}{}{\upeta}
\DeclareDocumentCommand{\utheta}{}{\uptheta}
\DeclareDocumentCommand{\uiota}{}{\upiota}
\DeclareDocumentCommand{\ukappa}{}{\upkappa}
\DeclareDocumentCommand{\ulambda}{}{\uplambda}
\DeclareDocumentCommand{\umu}{}{\upmu}
\DeclareDocumentCommand{\unu}{}{\upnu}
\DeclareDocumentCommand{\uxi}{}{\upxi}
\DeclareDocumentCommand{\uomicron}{}{\upomicron}
\DeclareDocumentCommand{\upi}{}{\uppi}
\DeclareDocumentCommand{\urho}{}{\uprho}
\DeclareDocumentCommand{\usigma}{}{\upsigma}
\DeclareDocumentCommand{\utau}{}{\uptau}
\DeclareDocumentCommand{\uupsilon}{}{\upupsilon}
\DeclareDocumentCommand{\uphi}{}{\upphi}
\DeclareDocumentCommand{\uchi}{}{\upchi}
\DeclareDocumentCommand{\upsi}{}{\uppsi}
\DeclareDocumentCommand{\uomega}{}{\upomega}
\fi
\ifshortupvargreek
\DeclareDocumentCommand{\uvAlpha}{}{\upvarAlpha}
\DeclareDocumentCommand{\uvBeta}{}{\upvarBeta}
\DeclareDocumentCommand{\uvGamma}{}{\upvarGamma}
\DeclareDocumentCommand{\uvDelta}{}{\upvarDelta}
\DeclareDocumentCommand{\uvEpsilon}{}{\upvarEpsilon}
\DeclareDocumentCommand{\uvZeta}{}{\upvarZeta}
\DeclareDocumentCommand{\uvEta}{}{\upvarEta}
\DeclareDocumentCommand{\uvTheta}{}{\upvarTheta}
\DeclareDocumentCommand{\uvIota}{}{\upvarIota}
\DeclareDocumentCommand{\uvKappa}{}{\upvarKappa}
\DeclareDocumentCommand{\uvLambda}{}{\upvarLambda}
\DeclareDocumentCommand{\uvMu}{}{\upvarMu}
\DeclareDocumentCommand{\uvNu}{}{\upvarNu}
\DeclareDocumentCommand{\uvXi}{}{\upvarXi}
\DeclareDocumentCommand{\uvOmicron}{}{\upvarOmicron}
\DeclareDocumentCommand{\uvPi}{}{\upvarPi}
\DeclareDocumentCommand{\uvRho}{}{\upvarRho}
\DeclareDocumentCommand{\uvSigma}{}{\upvarSigma}
\DeclareDocumentCommand{\uvTau}{}{\upvarTau}
\DeclareDocumentCommand{\uvUpsilon}{}{\upvarUpsilon}
\DeclareDocumentCommand{\uvPhi}{}{\upvarPhi}
\DeclareDocumentCommand{\uvChi}{}{\upvarChi}
\DeclareDocumentCommand{\uvPsi}{}{\upvarPsi}
\DeclareDocumentCommand{\uvOmega}{}{\upvarOmega}
\DeclareDocumentCommand{\uvalpha}{}{\upvaralpha}
\DeclareDocumentCommand{\uvbeta}{}{\upvarbeta}
\DeclareDocumentCommand{\uvgamma}{}{\upvargamma}
\DeclareDocumentCommand{\uvdelta}{}{\upvardelta}
\DeclareDocumentCommand{\uvepsilon}{}{\upvarepsilon}
\DeclareDocumentCommand{\uvzeta}{}{\upvarzeta}
\DeclareDocumentCommand{\uveta}{}{\upvareta}
\DeclareDocumentCommand{\uvtheta}{}{\upvartheta}
\DeclareDocumentCommand{\uviota}{}{\upvariota}
\DeclareDocumentCommand{\uvkappa}{}{\upvarkappa}
\DeclareDocumentCommand{\uvlambda}{}{\upvarlambda}
\DeclareDocumentCommand{\uvmu}{}{\upvarmu}
\DeclareDocumentCommand{\uvnu}{}{\upvarnu}
\DeclareDocumentCommand{\uvxi}{}{\upvarxi}
\DeclareDocumentCommand{\uvomicron}{}{\upvaromicron}
\DeclareDocumentCommand{\uvpi}{}{\upvarpi}
\DeclareDocumentCommand{\uvrho}{}{\upvarrho}
\DeclareDocumentCommand{\uvsigma}{}{\upvarsigma}
\DeclareDocumentCommand{\uvtau}{}{\upvartau}
\DeclareDocumentCommand{\uvupsilon}{}{\upvarupsilon}
\DeclareDocumentCommand{\uvphi}{}{\upvarphi}
\DeclareDocumentCommand{\uvchi}{}{\upvarchi}
\DeclareDocumentCommand{\uvpsi}{}{\upvarpsi}
\DeclareDocumentCommand{\uvomega}{}{\upvaromega}
\fi
\ifshortboldgreek
\DeclareDocumentCommand{\bAlpha}{}{\boldsymbol{\Alpha}}
\DeclareDocumentCommand{\bBeta}{}{\boldsymbol{\Beta}}
\DeclareDocumentCommand{\bGamma}{}{\boldsymbol{\Gamma}}
\DeclareDocumentCommand{\bDelta}{}{\boldsymbol{\Delta}}
\DeclareDocumentCommand{\bEpsilon}{}{\boldsymbol{\Epsilon}}
\DeclareDocumentCommand{\bZeta}{}{\boldsymbol{\Zeta}}
\DeclareDocumentCommand{\bEta}{}{\boldsymbol{\Eta}}
\DeclareDocumentCommand{\bTheta}{}{\boldsymbol{\Theta}}
\DeclareDocumentCommand{\bIota}{}{\boldsymbol{\Iota}}
\DeclareDocumentCommand{\bKappa}{}{\boldsymbol{\Kappa}}
\DeclareDocumentCommand{\bLambda}{}{\boldsymbol{\Lambda}}
\DeclareDocumentCommand{\bMu}{}{\boldsymbol{\Mu}}
\DeclareDocumentCommand{\bNu}{}{\boldsymbol{\Nu}}
\DeclareDocumentCommand{\bXi}{}{\boldsymbol{\Xi}}
\DeclareDocumentCommand{\bOmicron}{}{\boldsymbol{\Omicron}}
\DeclareDocumentCommand{\bPi}{}{\boldsymbol{\Pi}}
\DeclareDocumentCommand{\bRho}{}{\boldsymbol{\Rho}}
\DeclareDocumentCommand{\bSigma}{}{\boldsymbol{\Sigma}}
\DeclareDocumentCommand{\bTau}{}{\boldsymbol{\Tau}}
\DeclareDocumentCommand{\bUpsilon}{}{\boldsymbol{\Upsilon}}
\DeclareDocumentCommand{\bPhi}{}{\boldsymbol{\Phi}}
\DeclareDocumentCommand{\bChi}{}{\boldsymbol{\Chi}}
\DeclareDocumentCommand{\bPsi}{}{\boldsymbol{\Psi}}
\DeclareDocumentCommand{\bOmega}{}{\boldsymbol{\Omega}}
\DeclareDocumentCommand{\balpha}{}{\boldsymbol{\alpha}}
\DeclareDocumentCommand{\bbeta}{}{\boldsymbol{\beta}}
\DeclareDocumentCommand{\bgamma}{}{\boldsymbol{\gamma}}
\DeclareDocumentCommand{\bdelta}{}{\boldsymbol{\delta}}
\DeclareDocumentCommand{\bepsilon}{}{\boldsymbol{\epsilon}}
\DeclareDocumentCommand{\bzeta}{}{\boldsymbol{\zeta}}
\DeclareDocumentCommand{\beta}{}{\boldsymbol{\eta}}
\DeclareDocumentCommand{\btheta}{}{\boldsymbol{\theta}}
\DeclareDocumentCommand{\biota}{}{\boldsymbol{\iota}}
\DeclareDocumentCommand{\bkappa}{}{\boldsymbol{\kappa}}
\DeclareDocumentCommand{\blambda}{}{\boldsymbol{\lambda}}
\DeclareDocumentCommand{\bmu}{}{\boldsymbol{\mu}}
\DeclareDocumentCommand{\bnu}{}{\boldsymbol{\nu}}
\DeclareDocumentCommand{\bxi}{}{\boldsymbol{\xi}}
\DeclareDocumentCommand{\bomicron}{}{\boldsymbol{\omicron}}
\DeclareDocumentCommand{\bpi}{}{\boldsymbol{\pi}}
\DeclareDocumentCommand{\brho}{}{\boldsymbol{\rho}}
\DeclareDocumentCommand{\bsigma}{}{\boldsymbol{\sigma}}
\DeclareDocumentCommand{\btau}{}{\boldsymbol{\tau}}
\DeclareDocumentCommand{\bupsilon}{}{\boldsymbol{\upsilon}}
\DeclareDocumentCommand{\bphi}{}{\boldsymbol{\phi}}
\DeclareDocumentCommand{\bchi}{}{\boldsymbol{\chi}}
\DeclareDocumentCommand{\bpsi}{}{\boldsymbol{\psi}}
\DeclareDocumentCommand{\bomega}{}{\boldsymbol{\omega}}
\fi

% Shortmathrm
\ifshortmathrm
\DeclareDocumentCommand{\rmA}{e{_^}}{\ensuremath{\mathrm{A}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmB}{e{_^}}{\ensuremath{\mathrm{B}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmC}{e{_^}}{\ensuremath{\mathrm{C}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmD}{e{_^}}{\ensuremath{\mathrm{D}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmE}{e{_^}}{\ensuremath{\mathrm{E}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmF}{e{_^}}{\ensuremath{\mathrm{F}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmG}{e{_^}}{\ensuremath{\mathrm{G}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmH}{e{_^}}{\ensuremath{\mathrm{H}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmI}{e{_^}}{\ensuremath{\mathrm{I}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmJ}{e{_^}}{\ensuremath{\mathrm{J}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmK}{e{_^}}{\ensuremath{\mathrm{K}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmL}{e{_^}}{\ensuremath{\mathrm{L}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmM}{e{_^}}{\ensuremath{\mathrm{M}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmN}{e{_^}}{\ensuremath{\mathrm{N}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmO}{e{_^}}{\ensuremath{\mathrm{O}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmP}{e{_^}}{\ensuremath{\mathrm{P}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmQ}{e{_^}}{\ensuremath{\mathrm{Q}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmR}{e{_^}}{\ensuremath{\mathrm{R}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmS}{e{_^}}{\ensuremath{\mathrm{S}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmT}{e{_^}}{\ensuremath{\mathrm{T}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmU}{e{_^}}{\ensuremath{\mathrm{U}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmV}{e{_^}}{\ensuremath{\mathrm{V}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmW}{e{_^}}{\ensuremath{\mathrm{W}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmX}{e{_^}}{\ensuremath{\mathrm{X}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmY}{e{_^}}{\ensuremath{\mathrm{Y}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmZ}{e{_^}}{\ensuremath{\mathrm{Z}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rma}{e{_^}}{\ensuremath{\mathrm{a}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmb}{e{_^}}{\ensuremath{\mathrm{b}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmc}{e{_^}}{\ensuremath{\mathrm{c}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmd}{e{_^}}{\ensuremath{\mathrm{d}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rme}{e{_^}}{\ensuremath{\mathrm{e}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmf}{e{_^}}{\ensuremath{\mathrm{f}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmg}{e{_^}}{\ensuremath{\mathrm{g}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmh}{e{_^}}{\ensuremath{\mathrm{h}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmi}{e{_^}}{\ensuremath{\mathrm{i}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmj}{e{_^}}{\ensuremath{\mathrm{j}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmk}{e{_^}}{\ensuremath{\mathrm{k}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rml}{e{_^}}{\ensuremath{\mathrm{l}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmm}{e{_^}}{\ensuremath{\mathrm{m}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmn}{e{_^}}{\ensuremath{\mathrm{n}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmo}{e{_^}}{\ensuremath{\mathrm{o}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmp}{e{_^}}{\ensuremath{\mathrm{p}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmq}{e{_^}}{\ensuremath{\mathrm{q}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmr}{e{_^}}{\ensuremath{\mathrm{r}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rms}{e{_^}}{\ensuremath{\mathrm{s}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmt}{e{_^}}{\ensuremath{\mathrm{t}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmu}{e{_^}}{\ensuremath{\mathrm{u}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmv}{e{_^}}{\ensuremath{\mathrm{v}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmw}{e{_^}}{\ensuremath{\mathrm{w}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmx}{e{_^}}{\ensuremath{\mathrm{x}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmy}{e{_^}}{\ensuremath{\mathrm{y}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmz}{e{_^}}{\ensuremath{\mathrm{z}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmHe}{e{_^}}{\ensuremath{\mathrm{He}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmLi}{e{_^}}{\ensuremath{\mathrm{Li}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmBe}{e{_^}}{\ensuremath{\mathrm{Be}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmNe}{e{_^}}{\ensuremath{\mathrm{Ne}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmNa}{e{_^}}{\ensuremath{\mathrm{Na}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmMg}{e{_^}}{\ensuremath{\mathrm{Mg}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmAl}{e{_^}}{\ensuremath{\mathrm{Al}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmSi}{e{_^}}{\ensuremath{\mathrm{Si}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCl}{e{_^}}{\ensuremath{\mathrm{Cl}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmAr}{e{_^}}{\ensuremath{\mathrm{Ar}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCa}{e{_^}}{\ensuremath{\mathrm{Ca}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmSc}{e{_^}}{\ensuremath{\mathrm{Sc}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmTi}{e{_^}}{\ensuremath{\mathrm{Ti}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCr}{e{_^}}{\ensuremath{\mathrm{Cr}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmMn}{e{_^}}{\ensuremath{\mathrm{Mn}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmFe}{e{_^}}{\ensuremath{\mathrm{Fe}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCo}{e{_^}}{\ensuremath{\mathrm{Co}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmNi}{e{_^}}{\ensuremath{\mathrm{Ni}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCu}{e{_^}}{\ensuremath{\mathrm{Cu}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmZn}{e{_^}}{\ensuremath{\mathrm{Zn}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmGa}{e{_^}}{\ensuremath{\mathrm{Ga}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmGe}{e{_^}}{\ensuremath{\mathrm{Ge}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmAs}{e{_^}}{\ensuremath{\mathrm{As}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmSe}{e{_^}}{\ensuremath{\mathrm{Se}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmBr}{e{_^}}{\ensuremath{\mathrm{Br}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmKr}{e{_^}}{\ensuremath{\mathrm{Kr}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmRb}{e{_^}}{\ensuremath{\mathrm{Rb}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmSr}{e{_^}}{\ensuremath{\mathrm{Sr}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmZr}{e{_^}}{\ensuremath{\mathrm{Zr}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmNb}{e{_^}}{\ensuremath{\mathrm{Nb}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmMo}{e{_^}}{\ensuremath{\mathrm{Mo}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmTc}{e{_^}}{\ensuremath{\mathrm{Tc}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmRu}{e{_^}}{\ensuremath{\mathrm{Ru}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmRh}{e{_^}}{\ensuremath{\mathrm{Rh}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmPd}{e{_^}}{\ensuremath{\mathrm{Pd}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmAg}{e{_^}}{\ensuremath{\mathrm{Ag}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCd}{e{_^}}{\ensuremath{\mathrm{Cd}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmIn}{e{_^}}{\ensuremath{\mathrm{In}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmSn}{e{_^}}{\ensuremath{\mathrm{Sn}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmSb}{e{_^}}{\ensuremath{\mathrm{Sb}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmTe}{e{_^}}{\ensuremath{\mathrm{Te}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmXe}{e{_^}}{\ensuremath{\mathrm{Xe}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCs}{e{_^}}{\ensuremath{\mathrm{Cs}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmBa}{e{_^}}{\ensuremath{\mathrm{Ba}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmLa}{e{_^}}{\ensuremath{\mathrm{La}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCe}{e{_^}}{\ensuremath{\mathrm{Ce}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmPr}{e{_^}}{\ensuremath{\mathrm{Pr}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmNd}{e{_^}}{\ensuremath{\mathrm{Nd}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmPm}{e{_^}}{\ensuremath{\mathrm{Pm}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmSm}{e{_^}}{\ensuremath{\mathrm{Sm}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmEu}{e{_^}}{\ensuremath{\mathrm{Eu}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmGd}{e{_^}}{\ensuremath{\mathrm{Gd}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmTb}{e{_^}}{\ensuremath{\mathrm{Tb}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmDy}{e{_^}}{\ensuremath{\mathrm{Dy}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmHo}{e{_^}}{\ensuremath{\mathrm{Ho}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmEr}{e{_^}}{\ensuremath{\mathrm{Er}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmTm}{e{_^}}{\ensuremath{\mathrm{Tm}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmYb}{e{_^}}{\ensuremath{\mathrm{Yb}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmLu}{e{_^}}{\ensuremath{\mathrm{Lu}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmHf}{e{_^}}{\ensuremath{\mathrm{Hf}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmTa}{e{_^}}{\ensuremath{\mathrm{Ta}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmRe}{e{_^}}{\ensuremath{\mathrm{Re}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmOs}{e{_^}}{\ensuremath{\mathrm{Os}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmIr}{e{_^}}{\ensuremath{\mathrm{Ir}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmPt}{e{_^}}{\ensuremath{\mathrm{Pt}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmAu}{e{_^}}{\ensuremath{\mathrm{Au}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmHg}{e{_^}}{\ensuremath{\mathrm{Hg}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmTl}{e{_^}}{\ensuremath{\mathrm{Tl}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmPb}{e{_^}}{\ensuremath{\mathrm{Pb}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmBi}{e{_^}}{\ensuremath{\mathrm{Bi}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmPo}{e{_^}}{\ensuremath{\mathrm{Po}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmAt}{e{_^}}{\ensuremath{\mathrm{At}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmRn}{e{_^}}{\ensuremath{\mathrm{Rn}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmFr}{e{_^}}{\ensuremath{\mathrm{Fr}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmRa}{e{_^}}{\ensuremath{\mathrm{Ra}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmAc}{e{_^}}{\ensuremath{\mathrm{Ac}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmTh}{e{_^}}{\ensuremath{\mathrm{Th}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmPa}{e{_^}}{\ensuremath{\mathrm{Pa}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmNp}{e{_^}}{\ensuremath{\mathrm{Np}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmPu}{e{_^}}{\ensuremath{\mathrm{Pu}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmAm}{e{_^}}{\ensuremath{\mathrm{Am}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCm}{e{_^}}{\ensuremath{\mathrm{Cm}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmBk}{e{_^}}{\ensuremath{\mathrm{Bk}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCf}{e{_^}}{\ensuremath{\mathrm{Cf}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmEs}{e{_^}}{\ensuremath{\mathrm{Es}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmFm}{e{_^}}{\ensuremath{\mathrm{Fm}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmMd}{e{_^}}{\ensuremath{\mathrm{Md}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmNo}{e{_^}}{\ensuremath{\mathrm{No}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmLr}{e{_^}}{\ensuremath{\mathrm{Lr}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmRf}{e{_^}}{\ensuremath{\mathrm{Rf}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmDb}{e{_^}}{\ensuremath{\mathrm{Db}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmSg}{e{_^}}{\ensuremath{\mathrm{Sg}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmBh}{e{_^}}{\ensuremath{\mathrm{Bh}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmHs}{e{_^}}{\ensuremath{\mathrm{Hs}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmMt}{e{_^}}{\ensuremath{\mathrm{Mt}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmDs}{e{_^}}{\ensuremath{\mathrm{Ds}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmRg}{e{_^}}{\ensuremath{\mathrm{Rg}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmCn}{e{_^}}{\ensuremath{\mathrm{Cn}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmNh}{e{_^}}{\ensuremath{\mathrm{Nh}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmFl}{e{_^}}{\ensuremath{\mathrm{Fl}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmMc}{e{_^}}{\ensuremath{\mathrm{Mc}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmLv}{e{_^}}{\ensuremath{\mathrm{Lv}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmTs}{e{_^}}{\ensuremath{\mathrm{Ts}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\DeclareDocumentCommand{\rmOg}{e{_^}}{\ensuremath{\mathrm{Og}\IfValueTF{#1}{_{#1}}{}\IfValueTF{#2}{^{#2}}{}}}
\fi

% Shorttext
\ifshorttext
\DeclareDocumentCommand{\txA}{}{\textnormal{A}}
\DeclareDocumentCommand{\txB}{}{\textnormal{B}}
\DeclareDocumentCommand{\txC}{}{\textnormal{C}}
\DeclareDocumentCommand{\txD}{}{\textnormal{D}}
\DeclareDocumentCommand{\txE}{}{\textnormal{E}}
\DeclareDocumentCommand{\txF}{}{\textnormal{F}}
\DeclareDocumentCommand{\txG}{}{\textnormal{G}}
\DeclareDocumentCommand{\txH}{}{\textnormal{H}}
\DeclareDocumentCommand{\txI}{}{\textnormal{I}}
\DeclareDocumentCommand{\txJ}{}{\textnormal{J}}
\DeclareDocumentCommand{\txK}{}{\textnormal{K}}
\DeclareDocumentCommand{\txL}{}{\textnormal{L}}
\DeclareDocumentCommand{\txM}{}{\textnormal{M}}
\DeclareDocumentCommand{\txN}{}{\textnormal{N}}
\DeclareDocumentCommand{\txO}{}{\textnormal{O}}
\DeclareDocumentCommand{\txP}{}{\textnormal{P}}
\DeclareDocumentCommand{\txQ}{}{\textnormal{Q}}
\DeclareDocumentCommand{\txR}{}{\textnormal{R}}
\DeclareDocumentCommand{\txS}{}{\textnormal{S}}
\DeclareDocumentCommand{\txT}{}{\textnormal{T}}
\DeclareDocumentCommand{\txU}{}{\textnormal{U}}
\DeclareDocumentCommand{\txV}{}{\textnormal{V}}
\DeclareDocumentCommand{\txW}{}{\textnormal{W}}
\DeclareDocumentCommand{\txX}{}{\textnormal{X}}
\DeclareDocumentCommand{\txY}{}{\textnormal{Y}}
\DeclareDocumentCommand{\txZ}{}{\textnormal{Z}}
\DeclareDocumentCommand{\txa}{}{\textnormal{a}}
\DeclareDocumentCommand{\txb}{}{\textnormal{b}}
\DeclareDocumentCommand{\txc}{}{\textnormal{c}}
\DeclareDocumentCommand{\txd}{}{\textnormal{d}}
\DeclareDocumentCommand{\txe}{}{\textnormal{e}}
\DeclareDocumentCommand{\txf}{}{\textnormal{f}}
\DeclareDocumentCommand{\txg}{}{\textnormal{g}}
\DeclareDocumentCommand{\txh}{}{\textnormal{h}}
\DeclareDocumentCommand{\txi}{}{\textnormal{i}}
\DeclareDocumentCommand{\txj}{}{\textnormal{j}}
\DeclareDocumentCommand{\txk}{}{\textnormal{k}}
\DeclareDocumentCommand{\txl}{}{\textnormal{l}}
\DeclareDocumentCommand{\txm}{}{\textnormal{m}}
\DeclareDocumentCommand{\txn}{}{\textnormal{n}}
\DeclareDocumentCommand{\txo}{}{\textnormal{o}}
\DeclareDocumentCommand{\txp}{}{\textnormal{p}}
\DeclareDocumentCommand{\txq}{}{\textnormal{q}}
\DeclareDocumentCommand{\txr}{}{\textnormal{r}}
\DeclareDocumentCommand{\txs}{}{\textnormal{s}}
\DeclareDocumentCommand{\txt}{}{\textnormal{t}}
\DeclareDocumentCommand{\txu}{}{\textnormal{u}}
\DeclareDocumentCommand{\txv}{}{\textnormal{v}}
\DeclareDocumentCommand{\txw}{}{\textnormal{w}}
\DeclareDocumentCommand{\txx}{}{\textnormal{x}}
\DeclareDocumentCommand{\txy}{}{\textnormal{y}}
\DeclareDocumentCommand{\txz}{}{\textnormal{z}}
\fi

% Utilities
\DeclareDocumentCommand{\sups}{m}{\ensuremath{^{#1}}}
\DeclareDocumentCommand{\subs}{m}{\ensuremath{_{#1}}}
\DeclareDocumentCommand{\mathcolorbox}{ m m }{
  \begingroup
  \setlength{\fboxsep}{0pt}
  \mathchoice
    {\colorbox{#1}{$\displaystyle#2$}}
    {\colorbox{#1}{$\textstyle#2$}}
    {\colorbox{#1}{$\scriptstyle#2$}}
    {\colorbox{#1}{$\scriptscriptstyle#2$}}
  \endgroup
}
\DeclareDocumentCommand\mcbox{}{\mathcolorbox}
\DeclareDocumentCommand{\autocolorbox}{m m}{
  \relax\ifmmode \mathcolorbox{#1}{#2}\else\colorbox{#1}{#2}\fi
}
\DeclareDocumentCommand\acbox{}{\autocolorbox}
\DeclareDocumentCommand\cbox{}{\autocolorbox}
\DeclareDocumentCommand{\tentothepowerof}{m}{\ensuremath{10^{#1}}}
\DeclareDocumentCommand\tenpow{}{\tentothepowerof}
\DeclareDocumentCommand{\scientificnotation}{m m}{\ensuremath{#1\times 10^{#2}}}
\DeclareDocumentCommand\scinote{}{\scientificnotation}
\DeclareDocumentCommand\numbercircled{m}{\text{\raisebox{.6pt}{\textcircled{\raisebox{-.9pt}{#1}}}}}
\let\numcir\numbercircled
\let\bsb\boldsymbol
\DeclareDocumentCommand{\RNum}{m}{\uppercase\expandafter{\romannumeral #1\relax}}
\DeclareDocumentCommand\flatfrac{ m m }{\left.#1\middle\slash#2\right.}

% Symbols
\DeclareDocumentCommand\lparen{}{(} % Left parenthesis
\DeclareDocumentCommand\rparen{}{)} % Right parenthesis
\DeclareDocumentCommand\ordersymbol{}{\mathcal{O}} % Order symbol --> O(x^2)
\DeclareDocumentCommand{\typical}{}{\cbox{cyan}{\phantom{A}}}
\DeclareDocumentCommand{\tall}{}{\cbox{cyan}{\phantom{A^{\vphantom{x^x}}_x}}}
\DeclareDocumentCommand{\grande}{}{\cbox{cyan}{\phantom{\frac{1}{xx}}}}
\DeclareDocumentCommand{\venti}{}{\cbox{cyan}{\phantom{\sum_x^x}}}
\DeclareDocumentCommand\Vtextvisiblespace{O{.3em}}{\mbox{\kern.06em\vrule height.3ex}\vbox{\hrule width#1}\hbox{\vrule height.3ex}}
\DeclareDocumentCommand{\parallelsum}{}{\mathbin{\!/\mkern-5mu/\!}}
\DeclareDocumentCommand{\calE}{}{\mathcal{E}}
\DeclareDocumentCommand{\bbR}{}{\mathbb{R}}
\DeclareDocumentCommand{\bbC}{}{\mathbb{C}}
\DeclareDocumentCommand{\bbQ}{}{\mathbb{Q}}
\DeclareDocumentCommand{\bbN}{}{\mathbb{N}}
\DeclareDocumentCommand{\bbZ}{}{\mathbb{Z}}
\DeclareDocumentCommand{\Bell}{}{\char"1F514}
\DeclareDocumentCommand{\bell}{}{\boldsymbol{\ell}}
\DeclareDocumentCommand\kernnull{}{\kern-\nulldelimiterspace} % negate the space next to null delimiters
\DeclareDocumentCommand\ST{}{\;\text{s.t.}\;}

% Arrows and lines
\DeclareDocumentCommand\Lra{}{\Leftrightarrow}
\robustify{\Lra}
\DeclareDocumentCommand\lra{}{\leftrightarrow}
\robustify{\lra}
\DeclareDocumentCommand\Ra{}{\Rightarrow}
\robustify{\Ra}
\DeclareDocumentCommand\ra{}{\rightarrow}
\robustify{\ra}
\DeclareDocumentCommand\La{}{\Leftarrow}
\robustify{\La}
\DeclareDocumentCommand\la{}{\leftarrow}
\robustify{\la}
\DeclareDocumentCommand\Upa{}{\Uparrow}
\robustify{\Upa}
\DeclareDocumentCommand\upa{}{\uparrow}
\robustify{\upa}
\DeclareDocumentCommand\Dna{}{\Downarrow}
\robustify{\Dna}
\DeclareDocumentCommand\dna{}{\downarrow}
\robustify{\dna}
\DeclareDocumentCommand\rlh{}{\rightleftharpoons}
\robustify{\rlh}
\DeclareDocumentCommand\lrh{}{\leftrightharpoons}
\robustify{\lrh}
\DeclareDocumentCommand\rhu{}{\rightharpoonup}
\robustify{\rhu}
\DeclareDocumentCommand\lhu{}{\leftharpoonup}
\robustify{\lhu}
\DeclareDocumentCommand\rhd{}{\rightharpoondownup}
\robustify{\rhd}
\DeclareDocumentCommand\lhd{}{\leftharpoondown}
\robustify{\lhd}
\DeclareDocumentCommand\uhr{}{\upharpoonright}
\robustify{\uhr}
\DeclareDocumentCommand\uhl{}{\upharpoonleft}
\robustify{\uhl}
\DeclareDocumentCommand\dhr{}{\downharpoonright}
\robustify{\dhr}
\DeclareDocumentCommand\dhl{}{\downharpoonleft}
\robustify{\dhl}
\DeclareDocumentCommand\hkra{}{\hookrightarrow}
\robustify{\hkra}
\DeclareDocumentCommand\hkla{}{\hookleftarrow}
\robustify{\hkla}
\DeclareDocumentCommand\nLra{}{\nLeftrightarrow}
\robustify{\nLra}
\DeclareDocumentCommand\nlra{}{\nleftrightarrow}
\robustify{\nlra}
\DeclareDocumentCommand\nRa{}{\nRightarrow}
\robustify{\nRa}
\DeclareDocumentCommand\nra{}{\nrightarrow}
\robustify{\nra}
\DeclareDocumentCommand\nLa{}{\nLeftarrow}
\robustify{\nLa}
\DeclareDocumentCommand\nla{}{\nleftarrow}
\robustify{\nla}
\DeclareDocumentCommand\mpto{}{\mapsto}
\robustify{\mpto}
\DeclareDocumentCommand\mpfr{}{\mapsfrom}
\robustify{\mpfr}
\DeclareDocumentCommand\defeq{}{\stackrel{\mathrm{def}}{=}}
\robustify{\defeq}
\let\originalequiv\equiv
\DeclareDocumentCommand\equiv{}{\ensuremath{\originalequiv}}
\DeclareDocumentCommand\eqv{}{\ensuremath{\originalequiv}}
\robustify{\equiv}
\robustify{\eqv}
\let\originalgeq\geq
\DeclareDocumentCommand\geq{}{\ensuremath{\originalgeq}}
\robustify{\geq}
\let\originalleq\leq
\DeclareDocumentCommand\leq{}{\ensuremath{\originalleq}}
\robustify{\leq}
\let\originalgg\gg
\DeclareDocumentCommand\gg{}{\ensuremath{\originalgg}}
\robustify{\gg}
\let\originalll\ll
\DeclareDocumentCommand\ll{}{\ensuremath{\originalll}}
\robustify{\ll}
\let\originalapprox\approx
\DeclareDocumentCommand\approx{}{\ensuremath{\originalapprox}}
\DeclareDocumentCommand\apx{}{\ensuremath{\originalapprox}}
\robustify{\approx}
\robustify{\apx}
\let\originallessapprox\gtrapprox
\DeclareDocumentCommand\gtrapprox{}{\ensuremath{\originalgtrapprox}}
\DeclareDocumentCommand\gapx{}{\ensuremath{\originalgtrapprox}}
\robustify{\gtrapprox}
\robustify{\gapx}
\let\originallessapprox\lessapprox
\DeclareDocumentCommand\lessapprox{}{\ensuremath{\originallessapprox}}
\DeclareDocumentCommand\lapx{}{\ensuremath{\originallessapprox}}
\robustify{\lessapprox}
\robustify{\lapx}
\let\originalsim\sim
\DeclareDocumentCommand\sim{}{\ensuremath{\originalsim}}
\robustify{\sim}

% Brackets and braces
\DeclareDocumentCommand{\PHquantity}{ t\big t\Big t\bigg t\Bigg o d() d|| g }
{ % Flexible automatic bracketing of an expression in () or [] or {} or ||
  % Handles manual override of sizing
  \IfBooleanTF{#1}{\let\ltag\bigl \let\rtag\bigr}{
    \IfBooleanTF{#2}{\let\ltag\Bigl \let\rtag\Bigr}{
      \IfBooleanTF{#3}{\let\ltag\biggl \let\rtag\biggr}{
        \IfBooleanTF{#4}{\let\ltag\Biggl \let\rtag\Biggr}{\let\ltag\left \let\rtag\right}
      }
    }
  }
  % Handles actual bracketing
  \IfNoValueTF{#5}{
    \IfNoValueTF{#6}{
    \IfNoValueTF{#7}{
    \IfNoValueTF{#8}{
      \IfBooleanTF{#1}{\big}{
      \IfBooleanTF{#2}{\Big}{
        \IfBooleanTF{#3}{\bigg}{
        \IfBooleanTF{#4}{\Bigg}{}
        }
      }
      }
    }
    {\ltag\lbrace#8\rtag\rbrace}
    }{
    \ltag\lvert{#7}\rtag\rvert
    \IfNoValueTF{#8}{}{#8}
    }
  }{
    \ltag(#6\rtag)
    \IfNoValueTF{#7}{}{|#7|}
    \IfNoValueTF{#8}{}{#8}
  }
  }{
  \ltag[#5\rtag]
  \IfNoValueTF{#6}{}{(#6)}
  \IfNoValueTF{#7}{}{|#7|}
  \IfNoValueTF{#8}{}{#8}
  }
}
\DeclareDocumentCommand\PHqty{}{\PHquantity}
\IfPackageLoadedTF{siunitx}
{
  \RequirePackage{siunitx}
  \DeclareDocumentCommand{\ITquantity}{ t\big t\Big t\bigg t\Bigg o d() d|| g g }
  { % integrate \qty from siunitx into \qty
    \IfValueTF{#9}
    { % \qty from siunitx
    \IfValueTF{#5}
    {\SI[#5]{#8}{#9}}
    {\SI{#8}{#9}}
    }{ % \qty from physics
    % Handles manual override of sizing
    \IfBooleanTF{#1}{\let\ltag\bigl \let\rtag\bigr}{
      \IfBooleanTF{#2}{\let\ltag\Bigl \let\rtag\Bigr}{
      \IfBooleanTF{#3}{\let\ltag\biggl \let\rtag\biggr}{
        \IfBooleanTF{#4}{\let\ltag\Biggl \let\rtag\Biggr}{\let\ltag\left \let\rtag\right}
      }
      }
    }
    % Handles actual bracketing
    \IfNoValueTF{#5}{
      \IfNoValueTF{#6}{
      \IfNoValueTF{#7}{
        \IfNoValueTF{#8}{
        \IfBooleanTF{#1}{\big}{
          \IfBooleanTF{#2}{\Big}{
          \IfBooleanTF{#3}{\bigg}{
            \IfBooleanTF{#4}{\Bigg}{}
          }
          }
        }
        }
        {\ltag\lbrace#8\rtag\rbrace}
      }{
        \ltag\lvert{#7}\rtag\rvert
        \IfNoValueTF{#8}{}{#8}
      }
      }{
      \ltag(#6\rtag)
      \IfNoValueTF{#7}{}{|#7|}
      \IfNoValueTF{#8}{}{#8}
      }
    }{
      \ltag[#5\rtag]
      \IfNoValueTF{#6}{}{(#6)}
      \IfNoValueTF{#7}{}{|#7|}
      \IfNoValueTF{#8}{}{#8}
    }
    }
  }
  \DeclareDocumentCommand\ITqty{}{\ITquantity}
  \ifnosiintegrate
    \DeclareDocumentCommand\PTquantity{}{\PHquantity}
  \else
    \DeclareDocumentCommand\PTquantity{}{\ITquantity}
  \fi
}{\DeclareDocumentCommand\PTquantity{}{\PHquantity}}
\DeclareDocumentCommand\PTqty{}{\PTquantity}
\ifoverride\DeclareDocumentCommand\quantity{}{\PTquantity}\DeclareDocumentCommand\qty{}{\PTquantity}\fi
\DeclareDocumentCommand\pqty{ l m }{\braces#1{\lparen}{\rparen}{#2}}
\DeclareDocumentCommand\bqty{ l m }{\braces#1{\lbrack}{\rbrack}{#2}}
\DeclareDocumentCommand\Bqty{ l m }{\braces#1{\lbrace}{\rbrace}{#2}}
\DeclareDocumentCommand\vqty{ l m }{\braces#1{\lvert}{\rvert}{#2}}

\let\originalmid\mid
\DeclareDocumentCommand\mid{}{\nonscript\;\ifnum\currentgrouptype=16\middle|\else\originalmid\fi\nonscript\;}

\DeclareDocumentCommand\omqty{m}{\begin{matrix}#1\end{matrix}}
\DeclareDocumentCommand\pmqty{m}{\begin{pmatrix}#1\end{pmatrix}}
\DeclareDocumentCommand\PTpmqty{s m}{\IfNoValueTF{#1}{\begin{pmatrix}#2\end{pmatrix}}{\left\lgroup\begin{matrix}#2\end{matrix}\right\rgroup}}
\ifoverride\DeclareDocumentCommand\pmqty{}{\PTpmqty}\fi
\DeclareDocumentCommand\Pmqty{m}{\left\lgroup\begin{matrix}#1\end{matrix}\right\rgroup}
\DeclareDocumentCommand\bmqty{m}{\begin{bmatrix}#1\end{bmatrix}}
\DeclareDocumentCommand\vmqty{m}{\begin{vmatrix}#1\end{vmatrix}}
\DeclareDocumentCommand\PTmatrixquantity{ s g o d() d|| }
{
  \IfNoValueTF{#2}
  {
    \IfNoValueTF{#3}
    {
      \IfNoValueTF{#4}
      {
        \vmqty{#5}
      }
      {
        \IfBooleanTF{#1}
        {\Pmqty{#4}}
        {\pmqty{#4}}
        \IfNoValueTF{#5}{}{|#5|}
      }
    }
    {
      \bmqty{#3}
      \IfNoValueTF{#4}{}{(#4)}
      \IfNoValueTF{#5}{}{|#5|}}
    }
  {
    \omqty{#2}
    \IfNoValueTF{#3}{}{[#3]}
    \IfNoValueTF{#4}{}{(#4)}
    \IfNoValueTF{#5}{}{|#5|}
  }
}
\DeclareDocumentCommand\PTmqty{}{\PTmatrixquantity}
\ifoverride\DeclareDocumentCommand\matrixquantity{}{\PTmatrixquantity}\DeclareDocumentCommand\mqty{}{\PTmatrixquantity}\fi
\DeclareDocumentCommand\matrixdeterminant{m}{\vmqty{#1}} % Matrix determinant
\DeclareDocumentCommand\mdet{}{\matrixdeterminant} % Shorthand for matrix determinant

\DeclareDocumentCommand\somqty{m}{\begin{smallmatrix}#1\end{smallmatrix}}
\DeclareDocumentCommand\spmqty{m}{\pqty{\begin{smallmatrix}#1\end{smallmatrix}}}
\DeclareDocumentCommand\PTspmqty{s m}{\IfNoValueTF{#1}{\pqty{\begin{smallmatrix}#2\end{smallmatrix}}}{\left\lgroup\begin{smallmatrix}#2\end{smallmatrix}\right\rgroup}}
\ifoverride\DeclareDocumentCommand\spmqty{}{\PTspmqty}\fi
\DeclareDocumentCommand\sPmqty{m}{\left\lgroup\begin{smallmatrix}#1\end{smallmatrix}\right\rgroup}
\DeclareDocumentCommand\sbmqty{m}{\bqty{\begin{smallmatrix}#1\end{smallmatrix}}}
\DeclareDocumentCommand\svmqty{m}{\vqty{\begin{smallmatrix}#1\end{smallmatrix}}}
\DeclareDocumentCommand\PTsmallmatrixquantity{ s g o d() d|| }
{
  \IfNoValueTF{#2}
  {
    \IfNoValueTF{#3}
    {
      \IfNoValueTF{#4}
      {
        \svmqty{#5}
      }
      {
        \IfBooleanTF{#1}
        {\sPmqty{#4}}
        {\spmqty{#4}}
        \IfNoValueTF{#5}{}{|#5|}
      }
    }
    {
      \sbmqty{#3}
      \IfNoValueTF{#4}{}{(#4)}
      \IfNoValueTF{#5}{}{|#5|}}
    }
  {
    \somqty{#2}
    \IfNoValueTF{#3}{}{[#3]}
    \IfNoValueTF{#4}{}{(#4)}
    \IfNoValueTF{#5}{}{|#5|}
  }
}
\DeclareDocumentCommand\PTsmqty{}{\PTsmallmatrixquantity}
\ifoverride\DeclareDocumentCommand\smallmatrixquantity{}{\PTsmallmatrixquantity}\DeclareDocumentCommand\smqty{}{\PTsmallmatrixquantity}\fi
\DeclareDocumentCommand\smallmatrixdeterminant{m}{\svmqty{#1}} % Small matrix determinant
\DeclareDocumentCommand\smdet{}{\smallmatrixdeterminant} % Shorthand for small matrix determinant

\DeclareDocumentCommand\argopen{s}{\IfBooleanTF{#1}{\mathopen{}\mathclose\bgroup}{\mathopen{}\mathclose\bgroup\left}} % Special open grouping for argument of a function
\DeclareDocumentCommand\argclose{s}{\IfBooleanTF{#1}{\egroup}{\aftergroup\egroup\right}} % Special close grouping for argument of a function

\DeclareDocumentCommand\braces{ s t\big t\Big t\bigg t\Bigg m m m }
{ % General braces with automatic and manual sizing
  \IfBooleanTF{#1}
  {\left#6\smash{#8}\right#7\vphantom{#8}}
  {
  \IfBooleanTF{#2}{\bigl#6{#8}\bigr#7}{
    \IfBooleanTF{#3}{\Bigl#6{#8}\Bigr#7}{
    \IfBooleanTF{#4}{\biggl#6{#8}\biggr#7}{
      \IfBooleanTF{#5}{\Biggl#6{#8}\Biggr#7}{\left#6{#8}\right#7}
    }
    }
  }
  }
}

\DeclareDocumentCommand\fbraces{ s t\big t\Big t\bigg t\Bigg m m m m }
{ % Function braces with automatic and manual sizing
  #8
  \IfBooleanTF{#1}
  {\argopen#6\smash{#9}\argclose#7\vphantom{#9}}
  {
  \IfBooleanTF{#2}{\argopen*\bigl#6{#9}\argclose*\bigr#7}{
    \IfBooleanTF{#3}{\argopen*\Bigl#6{#9}\argclose*\Bigr#7}{
    \IfBooleanTF{#4}{\argopen*\biggl#6{#9}\argclose*\biggr#7}{
      \IfBooleanTF{#5}
      {\argopen*\Biggl#6{#9}\argclose*\Biggr#7}
      {\argopen#6{#9}\argclose#7}
    }
    }
  }
  }
}

\DeclareDocumentCommand\absolutevalue{ l m }{\braces#1{\lvert}{\rvert}{#2}} % Absolute value/complex modulus
\DeclareDocumentCommand\abs{}{\absolutevalue} % Shorthand for \absolutevalue
\DeclareDocumentCommand\norm{ l m }{\braces#1{\lVert}{\rVert}{#2}} % Norm
\DeclareDocumentCommand\order{ l m }{\fbraces#1{\lparen}{\rparen}{\ordersymbol}{#2}} % Order notation -> O(x^2)

\DeclareDocumentCommand\evaluated{ s g d[| d(| }
{ % Vertical evaluation bar
  \IfNoValueTF{#2}
  {
    \IfNoValueTF{#3}
    {
      \IfNoValueTF{#4}
      {
        \argopen.\vphantom{\int}\argclose\rvert
      }
      {
        \IfBooleanTF{#1}{\vphantom{#4}}{}
        \left(\IfBooleanTF{#1}{\smash{#4}}{#4}\vphantom{\int}\right\rvert
      }
    }
    {
      \IfBooleanTF{#1}{\vphantom{#3}}{}
      \left[\IfBooleanTF{#1}{\smash{#3}}{#3}\vphantom{\int}\right\rvert
      \IfNoValueTF{#4}{}{(#4|}
    }
  }
  {
    \IfBooleanTF{#1}{\vphantom{#2}}{}
    \left.\IfBooleanTF{#1}{\smash{#2}}{#2}\vphantom{\int}\right\rvert
    \IfNoValueTF{#3}{}{[#3|}
    \IfNoValueTF{#4}{}{(#4|}
  }
}
\DeclareDocumentCommand\eval{}{\evaluated} % Shorthand for evaluated

\DeclareDocumentCommand\poissonbracket{ l m m }{\braces#1{\lbrace}{\rbrace}{#2,#3}} % Poisson bracket [same as anti-commutator]
\DeclareDocumentCommand\pb{}{\poissonbracket} % Shorthand for \poissonbracket

% Commutators
\DeclareDocumentCommand\commutator{ l m m }{\braces#1{\lbrack}{\rbrack}{#2,#3}} % Commutator
\DeclareDocumentCommand\comm{}{\commutator} % Shorthand for \commutator
\DeclareDocumentCommand\anticommutator{ l m m }{\braces#1{\lbrace}{\rbrace}{#2,#3}} % Anticommutator [same as Poisson bracket]
\DeclareDocumentCommand\acommutator{}{\anticommutator} % Shorthand for \anticommutator
\DeclareDocumentCommand\acomm{}{\anticommutator} % Shorthand for \anticommutator

% Vector notation
\DeclareDocumentCommand\vectorbold{ s m }{\IfBooleanTF{#1}{\boldsymbol{#2}}{\symbf{#2}}} % Vector bold [star for Greek and italic Roman]
\DeclareDocumentCommand\vb{}{\vectorbold} % Shorthand for \vectorbold

\DeclareDocumentCommand\vectorarrow{ s m }{\IfBooleanTF{#1}{\vec{\boldsymbol{#2}}}{\vec{\symbf{#2}}}} % Vector arrow + bold [star for Greek and italic Roman]
\DeclareDocumentCommand\va{}{\vectorarrow} % Shorthand for \vectorarrow

\DeclareDocumentCommand\vectorunit{ s m }{\IfBooleanTF{#1}{\boldsymbol{\hat{#2}}}{\symbf{\hat{#2}}}} % Unit vector [star for Greek and italic Roman]
\DeclareDocumentCommand\vu{}{\vectorunit} % Shorthand for \vectorunit

\DeclareDocumentCommand\vdot{}{\dotproduct}

\DeclareDocumentCommand\crossproduct{}{\boldsymbol\times} % Vector cross product symbol
\DeclareDocumentCommand\cross{}{\crossproduct} % Shorthand for \crossproduct
\DeclareDocumentCommand\cp{}{\crossproduct} % Shorthand for \crossproduct

\DeclareDocumentCommand\gradient{ g o d() }{ % Gradient
  \IfNoValueTF{#1}{
  \IfNoValueTF{#2}{
    \IfNoValueTF{#3}{\vnabla}{\fbraces{\lparen}{\rparen}{\vnabla}{#3}}
  }
  {\fbraces{\lbrack}{\rbrack}{\vnabla}{#2} \IfNoValueTF{#3}{}{(#3)}}
  }
  {\vnabla #1 \IfNoValueTF{#2}{}{[#2]} \IfNoValueTF{#3}{}{(#3)}}
}
\DeclareDocumentCommand\grad{}{\gradient} % Shorthand for \gradient

\DeclareDocumentCommand\divergence{ g o d() }{ % Divergence
  \IfNoValueTF{#1}{
  \IfNoValueTF{#2}{
    \IfNoValueTF{#3}{\vnabla \dotproduct}{\vnabla \dotproduct \quantity(#3)}
  }
  {\vnabla \dotproduct \quantity[#2] \IfNoValueTF{#3}{}{(#3)}}
  }
  {\vnabla \dotproduct #1 \IfNoValueTF{#2}{}{[#2]} \IfNoValueTF{#3}{}{(#3)}}
}
\DeclareDocumentCommand\divg{}{\divergence}
\iforiginaldiv
  \ifphysics
    \DeclareDocumentCommand\div{}{\divisionsymbol}
  \else
    \DeclareDocumentCommand\divisionsymbol{}{\div}
  \fi
\else
  \ifphysics
    \DeclareDocumentCommand\div{}{\divergence}
  \else
    \DeclareDocumentCommand\divisionsymbol{}{\div} % Rename \div [division symbol] in order to free up control sequence for \divergence
    \DeclareDocumentCommand\div{}{\divergence}
  \fi
\fi

\DeclareDocumentCommand\curl{ g o d() }{ % Curl
  \IfNoValueTF{#1}{
  \IfNoValueTF{#2}{
    \IfNoValueTF{#3}{\vnabla \cross}{\vnabla \cross \quantity(#3)}
  }
  {\vnabla \cross \quantity[#2] \IfNoValueTF{#3}{}{(#3)}}
  }
  {\vnabla \cross #1 \IfNoValueTF{#2}{}{[#2]} \IfNoValueTF{#3}{}{(#3)}}
}

\DeclareDocumentCommand\laplacian{ g o d() }{ % Laplacian
  \IfNoValueTF{#1}{
  \IfNoValueTF{#2}{
    \IfNoValueTF{#3}{\nabla^2}{\fbraces{\lparen}{\rparen}{\nabla^2}{#3}}
  }
  {\fbraces{\lbrack}{\rbrack}{\nabla^2}{#2} \IfNoValueTF{#3}{}{(#3)}}
  }
  {\nabla^2 #1 \IfNoValueTF{#2}{}{[#2]} \IfNoValueTF{#3}{}{(#3)}}
}

% Operators
\DeclareDocumentCommand\tr{}{\operatorname{tr}} % Trace of a matrix
\DeclareDocumentCommand\Tr{}{\operatorname{Tr}} % Trace of a matrix (alternate)
\DeclareDocumentCommand\rank{}{\operatorname{rank}} % Rank of a matrix
\DeclareDocumentCommand\erf{}{\operatorname{erf}} % error function
\DeclareDocumentCommand\Res{}{\operatorname{Res}} % Residue
\DeclareDocumentCommand\Arg{}{\operatorname{Arg}} % principal argument
\DeclareDocumentCommand\arg{}{\operatorname{arg}} % argument
\DeclareDocumentCommand{\acosh}{}{\operatorname{acosh}}
\DeclareDocumentCommand{\acsch}{}{\operatorname{acsch}}
\DeclareDocumentCommand{\arccosh}{}{\operatorname{arccosh}}
\DeclareDocumentCommand{\arccsch}{}{\operatorname{arccsch}}
\DeclareDocumentCommand{\arcsech}{}{\operatorname{arcsech}}
\DeclareDocumentCommand{\arcsinh}{}{\operatorname{arcsinh}}
\DeclareDocumentCommand{\arctanh}{}{\operatorname{arctanh}}
\DeclareDocumentCommand{\arctantwo}{}{\operatorname{arctan2}}
\DeclareDocumentCommand{\asech}{}{\operatorname{asech}}
\DeclareDocumentCommand{\asinh}{}{\operatorname{asinh}}
\DeclareDocumentCommand{\atanh}{}{\operatorname{atanh}}
\DeclareDocumentCommand{\atantwo}{}{\operatorname{atan2}}
\DeclareDocumentCommand{\closure}{}{\operatorname{closure}}
\DeclareDocumentCommand{\col}{}{\operatorname{col}}
\DeclareDocumentCommand{\Col}{}{\operatorname{Col}}
\DeclareDocumentCommand{\dim}{}{\operatorname{dim}}
\DeclareDocumentCommand{\Dim}{}{\operatorname{Dim}}
\DeclareDocumentCommand{\distance}{}{\operatorname{distance}}
\DeclareDocumentCommand{\Distance}{}{\operatorname{Distance}}
\DeclareDocumentCommand{\row}{}{\operatorname{row}}
\DeclareDocumentCommand{\Row}{}{\operatorname{Row}}
\DeclareDocumentCommand{\ker}{}{\operatorname{ker}}
\DeclareDocumentCommand{\coker}{}{\operatorname{coker}}
\DeclareDocumentCommand{\rank}{}{\operatorname{rank}}
\DeclareDocumentCommand{\Rank}{}{\operatorname{Rank}}
\DeclareDocumentCommand{\im}{}{\operatorname{im}}
\DeclareDocumentCommand{\SD}{}{\operatorname{SD}}
\DeclareDocumentCommand{\Var}{}{\operatorname{Var}}
\DeclareDocumentCommand{\Mode}{}{\operatorname{Mode}}
\DeclareDocumentCommand{\Median}{}{\operatorname{Median}}
\DeclareDocumentCommand{\gcd}{}{\operatorname{gcd}}
\DeclareDocumentCommand{\lcm}{}{\operatorname{lcm}}
\DeclareDocumentCommand{\GCD}{}{\operatorname{GCD}}
\DeclareDocumentCommand{\LCM}{}{\operatorname{LCM}}
\DeclareDocumentCommand{\UnitVector}{}{\operatorname{UnitVector}}
\DeclareDocumentCommand\principalvalue{g}{\IfNoValueTF{#1}{\mathcal{P}}{\mathcal{P}\mathord{#1}}}
\DeclareDocumentCommand\pv{}{\principalvalue}
\DeclareDocumentCommand\PV{g}{\IfNoValueTF{#1}{\mathrm{P.V.}}{\mathrm{P.V.}\mathord{#1}}}
\DeclareDocumentCommand\opbraces{ m g o d() }
{
  \IfNoValueTF{#2}
  {
  \IfNoValueTF{#3}
  {
    \IfNoValueTF{#4}
    {#1}
    {\fbraces{\lparen}{\rparen}{#1}{#4}}
  }
  {
    \fbraces{\lbrack}{\rbrack}{#1}{#3}
    \IfNoValueTF{#4}{}{(#4)}
  }
  }
  {
  \fbraces{\lbrace}{\rbrace}{#1}{#2}
  \IfNoValueTF{#3}{}{[#3]}
  \IfNoValueTF{#4}{}{(#4)}
  }
}
\DeclareDocumentCommand\trigbraces{ m o d() }
{
  \IfNoValueTF{#3}
  {#1 \IfNoValueTF{#2}{}{[#2]}}
  {#1 \IfNoValueTF{#2}{}{^{#2}} \argopen(#3\argclose)}
}

% Trig function and operator redefinitions
\iftrig
  \let\sine\sin \DeclareDocumentCommand\sin{}{\trigbraces{\sine}}
  \let\cosine\cos \DeclareDocumentCommand\cos{}{\trigbraces{\cosine}}
  \let\tangent\tan \DeclareDocumentCommand\tan{}{\trigbraces{\tangent}}
  \let\cosecant\csc \DeclareDocumentCommand\csc{}{\trigbraces{\cosecant}}
  \let\secant\sec \DeclareDocumentCommand\sec{}{\trigbraces{\secant}}
  \let\cotangent\cot \DeclareDocumentCommand\cot{}{\trigbraces{\cotangent}}

  \let\arcsine\arcsin \DeclareDocumentCommand\arcsin{}{\trigbraces{\arcsine}}
  \let\arccosine\arccos \DeclareDocumentCommand\arccos{}{\trigbraces{\arccosine}}
  \let\arctangent\arctan \DeclareDocumentCommand\arctan{}{\trigbraces{\arctangent}}
  \DeclareDocumentCommand{\arccosecant}{}{\operatorname{arccsc}}
  \DeclareDocumentCommand\arccsc{}{\trigbraces{\arccosecant}}
  \DeclareDocumentCommand{\arcsecant}{}{\operatorname{arcsec}}
  \DeclareDocumentCommand\arcsec{}{\trigbraces{\arcsecant}}
  \DeclareDocumentCommand{\arccotangent}{}{\operatorname{arccot}}
  \DeclareDocumentCommand\arccot{}{\trigbraces{\arccotangent}}

  \DeclareDocumentCommand{\asine}{}{\operatorname{asin}}
  \DeclareDocumentCommand\asin{}{\trigbraces{\asine}}
  \DeclareDocumentCommand{\acosine}{}{\operatorname{acos}}
  \DeclareDocumentCommand\acos{}{\trigbraces{\acosine}}
  \DeclareDocumentCommand{\atangent}{}{\operatorname{atan}}
  \DeclareDocumentCommand\atan{}{\trigbraces{\atangent}}
  \DeclareDocumentCommand{\acosecant}{}{\operatorname{acsc}}
  \DeclareDocumentCommand\acsc{}{\trigbraces{\acosecant}}
  \DeclareDocumentCommand{\asecant}{}{\operatorname{asec}}
  \DeclareDocumentCommand\asec{}{\trigbraces{\asecant}}
  \DeclareDocumentCommand{\acotangent}{}{\operatorname{acot}}
  \DeclareDocumentCommand\acot{}{\trigbraces{\acotangent}}

  \let\hypsine\sinh \DeclareDocumentCommand\sinh{}{\trigbraces{\hypsine}}
  \let\hypcosine\cosh \DeclareDocumentCommand\cosh{}{\trigbraces{\hypcosine}}
  \let\hyptangent\tanh \DeclareDocumentCommand\tanh{}{\trigbraces{\hyptangent}}
  \DeclareDocumentCommand{\hypcosecant}{}{\operatorname{csch}}
  \DeclareDocumentCommand\csch{}{\trigbraces{\hypcosecant}}
  \DeclareDocumentCommand{\hypsecant}{}{\operatorname{sech}}
  \DeclareDocumentCommand\sech{}{\trigbraces{\hypsecant}}
  \let\hypcotangent\coth \DeclareDocumentCommand\coth{}{\trigbraces{\hypcotangent}}

  \let\exponential\exp \DeclareDocumentCommand\exp{}{\opbraces{\exponential}}
  \let\logarithm\log \DeclareDocumentCommand\log{}{\trigbraces{\logarithm}}
  \let\naturallogarithm\ln \DeclareDocumentCommand\ln{}{\trigbraces{\naturallogarithm}}
  \let\determinant\det \DeclareDocumentCommand\det{}{\opbraces{\determinant}}
  \let\Probability\Pr \DeclareDocumentCommand\Pr{}{\opbraces{\Probability}}
  \DeclareDocumentCommand\tr{}{\opbraces{\operatorname{tr}}}
  \DeclareDocumentCommand\Tr{}{\opbraces{\operatorname{Tr}}}
  \DeclareDocumentCommand\Res{}{\opbraces{\operatorname{Res}}}
  \let\Argument\Arg
  \DeclareDocumentCommand\Arg{}{\opbraces{\operatorname{Arg}}}
  \let\argument\arg
  \DeclareDocumentCommand\arg{}{\opbraces{\operatorname{arg}}}
  \let\real\Re
  \DeclareDocumentCommand\Re{}{\opbraces{\real}}
  \let\imaginary\Im
  \DeclareDocumentCommand\Im{}{\opbraces{\imaginary}}
  \DeclareDocumentCommand{\acosh}{}{\trigbraces{\operatorname{acosh}}}
  \DeclareDocumentCommand{\acsch}{}{\trigbraces{\operatorname{acsch}}}
  \DeclareDocumentCommand{\arccosh}{}{\trigbraces{\operatorname{arccosh}}}
  \DeclareDocumentCommand{\arccsch}{}{\trigbraces{\operatorname{arccsch}}}
  \DeclareDocumentCommand{\arcsech}{}{\trigbraces{\operatorname{arcsech}}}
  \DeclareDocumentCommand{\arcsinh}{}{\trigbraces{\operatorname{arcsinh}}}
  \DeclareDocumentCommand{\arctanh}{}{\trigbraces{\operatorname{arctanh}}}
  \DeclareDocumentCommand{\arctantwo}{}{\trigbraces{\operatorname{arctan2}}}
  \DeclareDocumentCommand{\asech}{}{\trigbraces{\operatorname{asech}}}
  \DeclareDocumentCommand{\asinh}{}{\trigbraces{\operatorname{asinh}}}
  \DeclareDocumentCommand{\atanh}{}{\trigbraces{\operatorname{atanh}}}
  \DeclareDocumentCommand{\atantwo}{}{\trigbraces{\operatorname{atan2}}}
  \DeclareDocumentCommand{\closure}{}{\opbraces{\operatorname{closure}}}
  \DeclareDocumentCommand{\col}{}{\opbraces{\operatorname{col}}}
  \DeclareDocumentCommand{\Col}{}{\opbraces{\operatorname{Col}}}
  \DeclareDocumentCommand{\dim}{}{\opbraces{\operatorname{dim}}}
  \DeclareDocumentCommand{\Dim}{}{\opbraces{\operatorname{Dim}}}
  \DeclareDocumentCommand{\distance}{}{\operatorname{distance}}
  \DeclareDocumentCommand{\Distance}{}{\operatorname{Distance}}
  \DeclareDocumentCommand{\row}{}{\opbraces{\operatorname{row}}}
  \DeclareDocumentCommand{\Row}{}{\opbraces{\operatorname{Row}}}
  \DeclareDocumentCommand{\ker}{}{\opbraces{\operatorname{ker}}}
  \DeclareDocumentCommand{\coker}{}{\opbraces{\operatorname{coker}}}
  \DeclareDocumentCommand{\rank}{}{\opbraces{\operatorname{rank}}}
  \DeclareDocumentCommand{\Rank}{}{\opbraces{\operatorname{Rank}}}
  \DeclareDocumentCommand{\im}{}{\opbraces{\operatorname{im}}}
  \DeclareDocumentCommand{\SD}{}{\opbraces{\operatorname{SD}}}
  \DeclareDocumentCommand{\Var}{}{\opbraces{\operatorname{Var}}}
  \DeclareDocumentCommand{\Mode}{}{\opbraces{\operatorname{Mode}}}
  \DeclareDocumentCommand{\Median}{}{\opbraces{\operatorname{Median}}}
  \DeclareDocumentCommand{\gcd}{}{\opbraces{\operatorname{gcd}}}
  \DeclareDocumentCommand{\lcm}{}{\opbraces{\operatorname{lcm}}}
  \DeclareDocumentCommand{\GCD}{}{\opbraces{\operatorname{GCD}}}
  \DeclareDocumentCommand{\LCM}{}{\opbraces{\operatorname{LCM}}}

\else
  \DeclareDocumentCommand{\arccsc}{}{\operatorname{arccsc}}
  \DeclareDocumentCommand{\arcsec}{}{\operatorname{arcsec}}
  \DeclareDocumentCommand{\arccot}{}{\operatorname{arccot}}
  \DeclareDocumentCommand{\asin}{}{\operatorname{asin}}
  \DeclareDocumentCommand{\acos}{}{\operatorname{acos}}
  \DeclareDocumentCommand{\atan}{}{\operatorname{atan}}
  \DeclareDocumentCommand{\acsc}{}{\operatorname{acsc}}
  \DeclareDocumentCommand{\asec}{}{\operatorname{asec}}
  \DeclareDocumentCommand{\acot}{}{\operatorname{acot}}

  \DeclareDocumentCommand{\csch}{}{\operatorname{csch}}
  \DeclareDocumentCommand{\sech}{}{\operatorname{sech}}
\fi

% Quick quad text (math-mode text with \quad spacing)
\DeclareDocumentCommand\qqtext{ s m }{\IfBooleanTF{#1}{}{\quad}\text{#2}\quad}
\DeclareDocumentCommand\qq{}{\qqtext}

\DeclareDocumentCommand\qcomma{}{,\quad}
\DeclareDocumentCommand\qc{}{\qcomma}

\DeclareDocumentCommand\qif{s}{\IfBooleanTF{#1}{}{\quad}\text{if}\quad}
\DeclareDocumentCommand\qthen{s}{\IfBooleanTF{#1}{}{\quad}\text{then}\quad}
\DeclareDocumentCommand\qelse{s}{\IfBooleanTF{#1}{}{\quad}\text{else}\quad}
\DeclareDocumentCommand\qotherwise{s}{\IfBooleanTF{#1}{}{\quad}\text{otherwise}\quad}
\DeclareDocumentCommand\qunless{s}{\IfBooleanTF{#1}{}{\quad}\text{unless}\quad}
\DeclareDocumentCommand\qgiven{s}{\IfBooleanTF{#1}{}{\quad}\text{given}\quad}
\DeclareDocumentCommand\qusing{s}{\IfBooleanTF{#1}{}{\quad}\text{using}\quad}
\DeclareDocumentCommand\qassume{s}{\IfBooleanTF{#1}{}{\quad}\text{assume}\quad}
\DeclareDocumentCommand\qsince{s}{\IfBooleanTF{#1}{}{\quad}\text{since}\quad}
\DeclareDocumentCommand\qlet{s}{\IfBooleanTF{#1}{}{\quad}\text{let}\quad}
\DeclareDocumentCommand\qfor{s}{\IfBooleanTF{#1}{}{\quad}\text{for}\quad}
\DeclareDocumentCommand\qall{s}{\IfBooleanTF{#1}{}{\quad}\text{all}\quad}
\DeclareDocumentCommand\qeven{s}{\IfBooleanTF{#1}{}{\quad}\text{even}\quad}
\DeclareDocumentCommand\qodd{s}{\IfBooleanTF{#1}{}{\quad}\text{odd}\quad}
\DeclareDocumentCommand\qinteger{s}{\IfBooleanTF{#1}{}{\quad}\text{integer}\quad}
\DeclareDocumentCommand\qand{s}{\IfBooleanTF{#1}{}{\quad}\text{and}\quad}
\DeclareDocumentCommand\qor{s}{\IfBooleanTF{#1}{}{\quad}\text{or}\quad}
\DeclareDocumentCommand\qas{s}{\IfBooleanTF{#1}{}{\quad}\text{as}\quad}
\DeclareDocumentCommand\qin{s}{\IfBooleanTF{#1}{}{\quad}\text{in}\quad}
\DeclareDocumentCommand\qcc{s}{\IfBooleanTF{#1}{}{\quad}\text{c.c.}\quad}

% Derivatives
\DeclareDocumentCommand\differential{ o g d() }{ % Differential 'd'
  % o: optional n for nth differential
  % g: optional argument for readability and to control spacing
  % d: long-form as in d(cos x)
  \IfNoValueTF{#2}{
  \IfNoValueTF{#3}
  {\dfd\IfNoValueTF{#1}{}{^{#1}}}
  {\mathinner{\dfd\IfNoValueTF{#1}{}{^{#1}}\argopen(#3\argclose)}}
  }
  {\mathinner{\dfd\IfNoValueTF{#1}{}{^{#1}}#2} \IfNoValueTF{#3}{}{(#3)}}
}
\DeclareDocumentCommand\dd{}{\differential} % Shorthand for \differential

\DeclareDocumentCommand\PTderivative{ s o m g d() }
{ % Total derivative
  % s: star for \flatfrac flat derivative
  % o: optional n for nth derivative
  % m: mandatory (x in df/dx)
  % g: optional (f in df/dx)
  % d: long-form d/dx(...)
  \IfBooleanTF{#1}
  {\let\fractype\flatfrac}
  {\let\fractype\frac}
  \IfNoValueTF{#4}
  {
  \IfNoValueTF{#5}
  {\fractype{\dfd \IfNoValueTF{#2}{}{^{#2}}}{\dfd #3\IfNoValueTF{#2}{}{^{#2}}}}
  {\fractype{\dfd \IfNoValueTF{#2}{}{^{#2}}}{\dfd #3\IfNoValueTF{#2}{}{^{#2}}} \argopen(#5\argclose)}
  }
  {\fractype{\dfd \IfNoValueTF{#2}{}{^{#2}} #3}{\dfd #4\IfNoValueTF{#2}{}{^{#2}}}}
  \IfNoValueTF{#5}{}{\argopen(#5\argclose)}
}
\DeclareDocumentCommand\PTdv{}{\PTderivative}
\ifoverride\DeclareDocumentCommand\derivative{}{\PTderivative}\DeclareDocumentCommand\dv{}{\PTderivative}\fi
\DeclareDocumentCommand\Differential{ o g d() }{ % Uppercase differential 'D'
  % o: optional n for nth differential
  % g: optional argument for readability and to control spacing
  % d: long-form as in D(cos x)
  \IfNoValueTF{#2}{
  \IfNoValueTF{#3}
  {\dfD\IfNoValueTF{#1}{}{^{#1}}}
  {\mathinner{\dfD\IfNoValueTF{#1}{}{^{#1}}\argopen(#3\argclose)}}
  }
  {\mathinner{\dfD\IfNoValueTF{#1}{}{^{#1}}#2} \IfNoValueTF{#3}{}{(#3)}}
}
\DeclareDocumentCommand\Dd{}{\Differential} % Shorthand for \Differential

\DeclareDocumentCommand\Derivative{ s o m g d() }
{ % Uppercase total derivative
  % s: star for \flatfrac flat derivative
  % o: optional n for nth derivative
  % m: mandatory (x in Df/Dx)
  % g: optional (f in Df/Dx)
  % d: long-form D/Dx(...)
  \IfBooleanTF{#1}
  {\let\fractype\flatfrac}
  {\let\fractype\frac}
  \IfNoValueTF{#4}
  {
  \IfNoValueTF{#5}
  {\fractype{\dfD \IfNoValueTF{#2}{}{^{#2}}}{\dfD #3\IfNoValueTF{#2}{}{^{#2}}}}
  {\fractype{\dfD \IfNoValueTF{#2}{}{^{#2}}}{\dfD #3\IfNoValueTF{#2}{}{^{#2}}} \argopen(#5\argclose)}
  }
  {\fractype{\dfD \IfNoValueTF{#2}{}{^{#2}} #3}{\dfD #4\IfNoValueTF{#2}{}{^{#2}}}}
  \IfNoValueTF{#5}{}{\argopen(#5\argclose)}
}
\DeclareDocumentCommand\Dv{}{\Derivative}
\DeclareDocumentCommand\PTpartialderivative{ s o m g g d() }
{ % Partial derivative
  % s: star for \flatfrac flat derivative
  % o: optional n for nth derivative
  % m: mandatory (x in df/dx)
  % g: optional (f in df/dx)
  % g: optional (y in d^2f/dxdy)
  % d: long-form d/dx(...)
  \IfBooleanTF{#1}
  {\let\fractype\flatfrac}
  {\let\fractype\frac}
  \IfNoValueTF{#4}
  {
  \IfNoValueTF{#6}
  {\fractype{\partial \IfNoValueTF{#2}{}{^{#2}}}{\partial #3\IfNoValueTF{#2}{}{^{#2}}}}
  {\fractype{\partial \IfNoValueTF{#2}{}{^{#2}}}{\partial #3\IfNoValueTF{#2}{}{^{#2}}} \argopen(#6\argclose)}
  }
  {
  \IfNoValueTF{#5}
  {\fractype{\partial \IfNoValueTF{#2}{}{^{#2}} #3}{\partial #4\IfNoValueTF{#2}{}{^{#2}}}}
  {\fractype{\partial^2 #3}{\partial #4 \partial #5}}
  \IfNoValueTF{#6}{}{\argopen(#6\argclose)}
  }
}
\DeclareDocumentCommand\PTpdv{}{\PTpartialderivative}
\DeclareDocumentCommand\PTpderivative{}{\PTpartialderivative}
\ifoverride\DeclareDocumentCommand\partialderivative{}{\PTpartialderivative}\DeclareDocumentCommand\pderivative{}{\PTpartialderivative}\DeclareDocumentCommand\pdv{}{\PTpartialderivative}\fi

\DeclareDocumentCommand\variation{ o g d() }{ % Functional variation
  % o: optional n for nth differential
  % g: optional argument for readability and to control spacing
  % d: long-form as in d(F(g))
  \IfNoValueTF{#2}{
  \IfNoValueTF{#3}
  {\delta \IfNoValueTF{#1}{}{^{#1}}}
  {\mathinner{\delta \IfNoValueTF{#1}{}{^{#1}}\argopen(#3\argclose)}}
  }
  {\mathinner{\delta \IfNoValueTF{#1}{}{^{#1}}#2} \IfNoValueTF{#3}{}{(#3)}}
}
\DeclareDocumentCommand\var{}{\variation} % Shorthand for \variation

\DeclareDocumentCommand\functionalderivative{ s o m g d() }
{ % Functional derivative
  % s: star for \flatfrac flat derivative
  % o: optional n for nth derivative
  % m: mandatory (g in dF/dg)
  % g: optional (F in dF/dg)
  % d: long-form d/dx(...)
  \IfBooleanTF{#1}
  {\let\fractype\flatfrac}
  {\let\fractype\frac}
  \IfNoValueTF{#4}
  {
  \IfNoValueTF{#5}
  {\fractype{\variation \IfNoValueTF{#2}{}{^{#2}}}{\variation #3\IfNoValueTF{#2}{}{^{#2}}}}
  {\fractype{\variation \IfNoValueTF{#2}{}{^{#2}}}{\variation #3\IfNoValueTF{#2}{}{^{#2}}} \argopen(#5\argclose)}
  }
  {\fractype{\variation \IfNoValueTF{#2}{}{^{#2}} #3}{\variation #4\IfNoValueTF{#2}{}{^{#2}}}}
}
\DeclareDocumentCommand\fderivative{}{\functionalderivative} % Shorthand for \functionalderivative
\DeclareDocumentCommand\fdv{}{\functionalderivative} % Shorthand for \functionalderivative

% Bra-ket notation
\DeclareDocumentCommand\bra{ s m t\ket s g }
{ % Bra
  \IfBooleanTF{#3}
  { % Contraction
  \IfBooleanTF{#1}
  { % Bra has a star: no resize
    \IfNoValueTF{#5}
    {\braket*{#2}{} \IfBooleanTF{#4}{*}{}}
    {\braket*{#2}{#5}}
  }
  {
    \IfBooleanTF{#4}
    { % Ket has a star: no resize
    \IfNoValueTF{#5}
    {\braket{#2}{} *}
    {\braket*{#2}{#5}}
    }
    {\braket{#2}{\IfNoValueTF{#5}{}{#5}}} % Neither term is starred: auto sizing
  }
  }
  { % No contraction
  \IfBooleanTF{#1}
  {\vphantom{#2}\left\langle\smash{#2}\right\rvert}
  {\left\langle{#2}\right\rvert}
  \IfBooleanTF{#4}{*}{}
  \IfNoValueTF{#5}{}{#5}
  }
}

\DeclareDocumentCommand\ket{ s m }
{ % Ket
  \IfBooleanTF{#1}
  {\vphantom{#2}\left\lvert\smash{#2}\right\rangle} % No resize
  {\left\lvert{#2}\right\rangle} % Auto sizing
}

\DeclareDocumentCommand\innerproduct{ s m g }
{ % Inner product
  \IfBooleanTF{#1}
  { % No resize
  \IfNoValueTF{#3}
  {\vphantom{#2}\left\langle\smash{#2}\middle\vert\smash{#2}\right\rangle}
  {\vphantom{#2#3}\left\langle\smash{#2}\middle\vert\smash{#3}\right\rangle}
  }
  { % Auto resize
  \IfNoValueTF{#3}
  {\left\langle{#2}\middle\vert{#2}\right\rangle}
  {\left\langle{#2}\middle\vert{#3}\right\rangle}
  }
}
\DeclareDocumentCommand\braket{}{\innerproduct} % Alternative for \innerproduct
\DeclareDocumentCommand\ip{}{\innerproduct} % Shorthand for \innerproduct

\DeclareDocumentCommand\outerproduct{ s m g }
{ % Dyad
  \IfBooleanTF{#1}
  { % No resize
  \IfNoValueTF{#3}
  {\vphantom{#2}\left\lvert\smash{#2}\middle\rangle\!\middle\langle\smash{#2}\right\rvert}
  {\vphantom{#2#3}\left\lvert\smash{#2}\middle\rangle\!\middle\langle\smash{#3}\right\rvert}
  }
  { % Auto resize
  \IfNoValueTF{#3}
  {\left\lvert{#2}\middle\rangle\!\middle\langle{#2}\right\rvert}
  {\left\lvert{#2}\middle\rangle\!\middle\langle{#3}\right\rvert}
  }
}
\DeclareDocumentCommand\dyad{}{\outerproduct} % Alternative for \outerproduct
\DeclareDocumentCommand\op{}{\dyad} % Shorthand for \outerproduct
\DeclareDocumentCommand\ketbra{}{\dyad} % Alternative for \outerproduct

\DeclareDocumentCommand\expectationvalue{ s s m g }
{ % Expectation value
  \IfNoValueTF{#4}
  {
  \IfBooleanTF{#1}
  {\vphantom{#3}\left\langle\smash{#3}\right\rangle} % Starred implicit form: no resizing
  {\left\langle{#3}\right\rangle} % Normal implicit form: auto sizing
  }
  {
  \IfBooleanTF{#1}
  {
    \IfBooleanTF{#2}
    {\left\langle{#4}\middle\vert{#3}\middle\vert{#4}\right\rangle} % Double starred explicit form: total auto sizing
    {\vphantom{#3#4}\left\langle\smash{#4}\middle\vert\smash{#3}\middle\vert\smash{#4}\right\rangle} % Starred explicit form: no resizing
  }
  {\vphantom{#3}\left\langle{#4}\middle\vert\smash{#3}\middle\vert{#4}\right\rangle} % Normal explicit form: only resize based on bra/ket arguments
  }
}
\DeclareDocumentCommand\expval{}{\expectationvalue} % Shorthand for \expectationvalue
\DeclareDocumentCommand\ev{}{\expectationvalue} % Shorthand for \expectationvalue
\DeclareDocumentCommand\vev{ m }{\expectationvalue{#1}{0}} % Vacuum expectation value

\DeclareDocumentCommand\matrixelement{ s s m m m }
{ % Matrix element
  \IfBooleanTF{#1}
  {
  \IfBooleanTF{#2}
  {\left\langle{#3}\middle\vert{#4}\middle\vert{#5}\right\rangle} % Double starred: total resizing
  {\vphantom{#3#4#5}\left\langle\smash{#3}\middle\vert\smash{#4}\middle\vert\smash{#5}\right\rangle} % Starred: no resizing
  }
  {\vphantom{#4}\left\langle{#3}\middle\vert\smash{#4}\middle\vert{#5}\right\rangle} % Normal: only resize based on bra/ket arguments
}
\DeclareDocumentCommand\matrixel{}{\matrixelement} % Shorthand for \matrixelement
\DeclareDocumentCommand\mel{}{\matrixelement} % Shorthand for \matrixelement

% Matrix macros
\DeclareDocumentCommand\identitymatrix{m}
{
{
\newtoks\matrixtoks
\global\matrixtoks = {}
\newcount\rowcount
\newcount\colcount
\loop
\colcount = 0
\advance \rowcount by 1
  {
  \loop
  \advance \colcount by 1
  \edef\addtoks
  {
    \ifnum \colcount = 1 \else & \fi
    \ifnum \colcount = \rowcount 1 \else 0 \fi
  }
  \global\matrixtoks = \expandafter{\the\expandafter\matrixtoks\addtoks}
  \ifnum \colcount < #1
  \repeat
  }
\ifnum \rowcount < #1
\global\matrixtoks = \expandafter{\the\matrixtoks \\ }
\repeat
}
\the\matrixtoks
}
\DeclareDocumentCommand\imat{}{\identitymatrix}

\DeclareDocumentCommand\PTxmatrix{ s o m m m o o g g }
{
  {
    \newtoks\matrixtoks
    \global\matrixtoks = {}

    \newcount\rowcount
    \newcount\actualrow
    \newcount\rowdots
    \IfValueTF{#6}{
      \actualrow = #6
      \IfValueTF{#2}{
        \IfStrEq{#2}{1}{\rowdots = \numexpr\actualrow\relax}{
          \IfStrEq{#2}{0}{\rowdots = \numexpr\actualrow\relax}{\rowdots = \numexpr\actualrow-1\relax}
        }
      }{
        \IfBlankTF{#4}
        {\rowdots = \numexpr\actualrow-1\relax}
        {
          \ifnum\actualrow = #4
            \rowdots = 0
          \else
            \rowdots = \numexpr\actualrow-1\relax
          \fi
        }
      }
    }{
      \IfBlankTF{#4}{
        \actualrow = 1
      }{
        \actualrow = #4
      }
      \rowdots = 0
    }

    \newcount\colcount
    \newcount\actualcol
    \newcount\coldots
    \IfValueTF{#7}{
      \actualcol = #7
      \IfValueTF{#2}{
        \IfStrEq{#2}{2}{\coldots = \numexpr\actualcol\relax}{
          \IfStrEq{#2}{0}{\coldots = \numexpr\actualcol\relax}{\coldots = \numexpr\actualcol-1\relax}
        }
      }{
        \IfBlankTF{#5}
        {\coldots = \numexpr\actualcol-1\relax}
        {
          \ifnum\actualcol = #5
            \coldots = 0
          \else
            \coldots = \numexpr\actualcol-1\relax
          \fi
        }
      }
    }{
      \IfBlankTF{#5}{
        \actualcol = 1
      }{
        \actualcol = #5
      }
      \coldots = 0
    }

    \loop
      \colcount = 0
      \advance \rowcount by 1
      {
        \loop
          \advance \colcount by 1
          \edef\addtoks{
            \ifnum\colcount = 1
            \else
              &
            \fi
            \ifnum\colcount = \coldots
              \ifnum\rowcount = \rowdots
                \ddots
              \else
                \ldots
              \fi
            \else
              \ifnum\rowcount = \rowdots
                \vdots
              \else
                #3
                \IfBooleanTF{#1}{_{
                  \ifnum\actualrow = \rowcount
                    \IfValueTF{#8}{#8}{
                      \IfBlankTF{#4}{}{
                        \ifnum #4 > 1
                          #4
                        \fi
                      }
                    }
                  \else
                    \the\rowcount
                  \fi
                  \ifnum\actualcol = \colcount
                    \IfValueTF{#9}{#9}{
                      \IfBlankTF{#5}{}{
                        \ifnum #5 > 1
                          #5
                        \fi
                      }
                    }
                  \else
                    \the\colcount
                  \fi
                }}{}
              \fi
            \fi
          }
        \global\matrixtoks = \expandafter{\the\expandafter\matrixtoks\addtoks}
        \ifnum \colcount < \actualcol
          \repeat
      }
    \ifnum \rowcount < \actualrow
      \global\matrixtoks = \expandafter{\the\expandafter\matrixtoks \\}
      \repeat
  }
  \the\matrixtoks
}
\DeclareDocumentCommand\PTxmat{}{\PTxmatrix}
\ifoverride\DeclareDocumentCommand\xmatrix{}{\PTxmatrix}\DeclareDocumentCommand\xmat{}{\PTxmatrix}\fi

\DeclareDocumentCommand\zeromatrix{ m g }{\IfNoValueTF{#2}{\PTxmatrix{0}{#1}{#1}}{\PTxmatrix{0}{#1}{#2}}}
\DeclareDocumentCommand\zmat{}{\zeromatrix}

\DeclareDocumentCommand\paulixmatrix{}{0&1\\1&0}
\DeclareDocumentCommand\pauliymatrix{}{0&-i\\i&0}
\DeclareDocumentCommand\paulizmatrix{}{1&0\\0&-1}
\DeclareDocumentCommand\paulimatrix{m}
{
  \let\argin=#1
  \ifx\argin 0 \identitymatrix{2} \else
  \ifx\argin 1 \paulixmatrix \else
    \ifx\argin 2 \pauliymatrix \else
    \ifx\argin 3 \paulizmatrix \else
      \ifx\argin x \paulixmatrix \else
      \ifx\argin y \pauliymatrix \else
        \ifx\argin z \paulizmatrix \fi\fi\fi\fi\fi\fi\fi
}
\DeclareDocumentCommand\pmat{}{\paulimatrix}

\DeclareDocumentCommand\PTdmat{ m m g g g g g g g }
{
\newtoks\matrixtoks
\global\matrixtoks = {}
\IfNoValueTF{#3}
{#2}
{
  \IfNoValueTF{#4}
  {\global\matrixtoks = \expandafter{\PTmqty{#2}&#1\\#1&\PTmqty{#3}}}
  {
  \IfNoValueTF{#5}
  {\global\matrixtoks = \expandafter{\PTmqty{#2}&#1&#1\\#1&\PTmqty{#3}&#1\\#1&#1&\PTmqty{#4}}}
  {
    \IfNoValueTF{#6}
    {\global\matrixtoks = \expandafter{\PTmqty{#2}&#1&#1&#1\\#1&\PTmqty{#3}&#1&#1\\#1&#1&\PTmqty{#4}&#1\\#1&#1&#1&\PTmqty{#5}}}
    {
    \IfNoValueTF{#7}
    {\global\matrixtoks = \expandafter{\PTmqty{#2}&#1&#1&#1&#1\\#1&\PTmqty{#3}&#1&#1&#1\\#1&#1&\PTmqty{#4}&#1&#1\\#1&#1&#1&\PTmqty{#5}&#1\\#1&#1&#1&#1&\PTmqty{#6}}}
    {
      \IfNoValueTF{#8}
      {\global\matrixtoks = \expandafter{\PTmqty{#2}&#1&#1&#1&#1&#1\\#1&\PTmqty{#3}&#1&#1&#1&#1\\#1&#1&\PTmqty{#4}&#1&#1&#1\\#1&#1&#1&\PTmqty{#5}&#1&#1\\#1&#1&#1&#1&\PTmqty{#6}&#1\\#1&#1&#1&#1&#1&\PTmqty{#7}}}
      {
      \IfNoValueTF{#9}
      {\global\matrixtoks = \expandafter{\PTmqty{#2}&#1&#1&#1&#1&#1&#1\\#1&\PTmqty{#3}&#1&#1&#1&#1&#1\\#1&#1&\PTmqty{#4}&#1&#1&#1&#1\\#1&#1&#1&\PTmqty{#5}&#1&#1&#1\\#1&#1&#1&#1&\PTmqty{#6}&#1&#1\\#1&#1&#1&#1&#1&\PTmqty{#7}&#1\\#1&#1&#1&#1&#1&#1&\PTmqty{#8}}}
      {\global\matrixtoks = \expandafter{\PTmqty{#2}&#1&#1&#1&#1&#1&#1&#1\\#1&\PTmqty{#3}&#1&#1&#1&#1&#1&#1\\#1&#1&\PTmqty{#4}&#1&#1&#1&#1&#1\\#1&#1&#1&\PTmqty{#5}&#1&#1&#1&#1\\#1&#1&#1&#1&\PTmqty{#6}&#1&#1&#1\\#1&#1&#1&#1&#1&\PTmqty{#7}&#1&#1\\#1&#1&#1&#1&#1&#1&\PTmqty{#8}&#1\\#1&#1&#1&#1&#1&#1&#1&\PTmqty{#9}}}
      }
    }
    }
  }
  }
}
\the\matrixtoks
}
\DeclareDocumentCommand\diagonalmatrix{O{} >{\SplitList{,}}m }{\PTdmat{#1}#2}
\DeclareDocumentCommand\dmat{}{\diagonalmatrix}

\DeclareDocumentCommand\PTadmat{mmggggggg}
{
\newtoks\matrixtoks
\global\matrixtoks = {}
\IfNoValueTF{#3}
{#2}
{
  \IfNoValueTF{#4}
  {\global\matrixtoks = \expandafter{#1&\PTmqty{#2}\\\PTmqty{#3}&#1}}
  {
  \IfNoValueTF{#5}
  {\global\matrixtoks = \expandafter{#1&#1&\PTmqty{#2}\\#1&\PTmqty{#3}&#1\\\PTmqty{#4}&#1&#1}}
  {
    \IfNoValueTF{#6}
    {\global\matrixtoks = \expandafter{#1&#1&#1&\PTmqty{#2}\\#1&#1&\PTmqty{#3}&#1\\#1&\PTmqty{#4}&#1&#1\\\PTmqty{#5}&#1&#1&#1}}
    {
    \IfNoValueTF{#7}
    {\global\matrixtoks = \expandafter{#1&#1&#1&#1&\PTmqty{#2}\\#1&#1&#1&\PTmqty{#3}&#1\\#1&#1&\PTmqty{#4}&#1&#1\\#1&\PTmqty{#5}&#1&#1&#1\\\PTmqty{#6}&#1&#1&#1&#1}}
    {
      \IfNoValueTF{#8}
      {\global\matrixtoks = \expandafter{#1&#1&#1&#1&#1&\PTmqty{#2}\\#1&#1&#1&#1&\PTmqty{#3}&#1\\#1&#1&#1&\PTmqty{#4}&#1&#1\\#1&#1&\PTmqty{#5}&#1&#1&#1\\#1&\PTmqty{#6}&#1&#1&#1&#1\\\PTmqty{#7}&#1&#1&#1&#1&#1}}
      {
      \IfNoValueTF{#9}
      {\global\matrixtoks = \expandafter{#1&#1&#1&#1&#1&#1&\PTmqty{#2}\\#1&#1&#1&#1&#1&\PTmqty{#3}&#1\\#1&#1&#1&#1&\PTmqty{#4}&#1&#1\\#1&#1&#1&\PTmqty{#5}&#1&#1&#1\\#1&#1&\PTmqty{#6}&#1&#1&#1&#1\\#1&\PTmqty{#7}&#1&#1&#1&#1&#1\\\PTmqty{#8}&#1&#1&#1&#1&#1&#1}}
      {\global\matrixtoks = \expandafter{#1&#1&#1&#1&#1&#1&#1&\PTmqty{#2}\\#1&#1&#1&#1&#1&#1&\PTmqty{#3}&#1\\#1&#1&#1&#1&#1&\PTmqty{#4}&#1&#1\\#1&#1&#1&#1&\PTmqty{#5}&#1&#1&#1\\#1&#1&#1&\PTmqty{#6}&#1&#1&#1&#1\\#1&#1&\PTmqty{#7}&#1&#1&#1&#1&#1\\#1&\PTmqty{#8}&#1&#1&#1&#1&#1&#1\\\PTmqty{#9}&#1&#1&#1&#1&#1&#1&#1}}
      }
    }
    }
  }
  }
}
\the\matrixtoks
}
\DeclareDocumentCommand\antidiagonalmatrix{O{} >{\SplitList{,}}m }{\PTadmat{#1}#2}
\DeclareDocumentCommand\admat{}{\antidiagonalmatrix}