%%
%%  `dsdshorthand.sty' -- Macros for everyday use, generally to improve
%%  code readability with a consistent shorthand.  Macro names are
%%  usually based more on the appearance of the symbol rather than the
%%  meaning (e.g. \Z for \mathbb{Z}, instead of \Integers, or \cA for
%%  \mathcal{A}).  Choices are geared towards mathematical physics,
%%  sort of.
%%
%%  David Simmons-Duffin <davidsd@gmail.com>
%%  Last modified May 17, 2006
%%
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{dsdshorthand}[2006/05/17 David Simmons-Duffin's macros]
\RequirePackage{amsmath, amssymb, amsthm}
\RequirePackage{ifthen}  % LaTeX logic

%%%%%%% Not Required, but Oft-Used Packages %%%%%%%
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{ifthen}
\usepackage{graphicx}   % \includegraphics
\usepackage{epstopdf}   % allow inclusion of eps files
\usepackage{bm}         % access to bold math fonts, via \bm
\usepackage{xspace}     % \xspace puts space where needed
\usepackage{mathrsfs}   % fancy script: \mathscr

\DeclareGraphicsRule{*}{mps}{*}{}  % not sure what this does, but it's
                                % necessary to make feynmp work correctly

%%%%%%% Argument-taking Macros, Size Control %%%%%%%
\newcommand   \pdr  [2] {\frac{\partial #1}{\partial #2}}
\newcommand   \pddr [3] {
  \ifthenelse{\equal{#3}{}}
    { \frac{\partial^2 #1}{\partial #2^2}           }
    { \frac{\partial^2 #1}{\partial #2 \partial #3} }
}
\newcommand   \rdr  [2] {\frac{d #1}{d #2}}
\newcommand   \rddr [3] {
  \ifthenelse{\equal{#3}{}}
    { \frac{d^2 #1}{d #2^2}    }
    { \frac{d^2 #1}{d #2 d #3} }
}

\newcommand   \lr  [3] {\left #1 #2 \right #3}
\newcommand   \p   [1] {\lr({#1})}
\newcommand   \tl  [1] {\widetilde{#1}}
\renewcommand \bar [1] {\overline{#1}}
%\let \smallbar = \bar
%\let \bar      = \overline
%\let \smallhat = \hat
%\let \hat      = \widehat

%%%%%%% Notation Shortcuts %%%%%%%
\newcommand   \<   {\langle}
\renewcommand \>   {\rangle}
\newcommand   \bra [1] {\< #1 |}
\newcommand   \ket [1] {| #1 \>}
\renewcommand \.   {\cdot}
\newcommand   \inv {^{-1}}
\newcommand   \x   {\times}
\newcommand   \we  {\wedge}
\newcommand   \oo  {\infty}
\newcommand   \aeq {\thickapprox}
\newcommand   \ptl {\partial}
\newcommand   \grad {\nabla}
\newcommand   \mto {\mapsto}
\newcommand   \hc  {\mathrm{h.c.}}
\newcommand   \half{\frac 1 2}
\newcommand   \Id  {\mathbf{1}}
\newcommand   \Dslash {\!\not\!\! D}
\newcommand   \dslash {\!\not\! \ptl}
\newcommand   \pslash {\!\not\! p}
\newcommand   \qslash {\!\not\! q}
\newcommand   \kslash {\!\not\! k}

%%%%%%% Greek %%%%%%%
\renewcommand \a  {\alpha}
\renewcommand \b  {\beta}
\newcommand   \g  {\gamma}
\newcommand   \G  {\Gamma}
\newcommand   \de {\delta}
\newcommand   \De {\Delta}
\newcommand   \e  {\epsilon}
\renewcommand \l  {\lambda}
\renewcommand \L  {\Lambda}
\renewcommand \r  {\rho}
\newcommand   \f  {\phi}
\newcommand   \vf {\varphi}
\newcommand   \s  {\sigma}
\newcommand   \w  {\omega}
\renewcommand \O  {\Omega}
\renewcommand \th {\theta}
\newcommand   \ka {\kappa}
\newcommand   \z  {\zeta}

%%%%%%% Spaces and Fields %%%%%%%
\newcommand   \R  {\mathbb{R}}
\newcommand   \Z  {\mathbb{Z}}
\newcommand   \N  {\mathbb{N}}
\newcommand   \C  {\mathbb{C}}
\newcommand   \Q  {\mathbb{Q}}
\newcommand   \Qp {\mathbb{Q}_p}
\renewcommand \P  {\mathbb{P}}
\newcommand   \A  {\mathbb{A}}

%%%%%%% Multi-letter Functors/Functions %%%%%%%
% how many of these should be mathops?
\newcommand   \SU    {\mathrm{SU}}
\newcommand   \SO    {\mathrm{SO}}
\newcommand   \GL    {\mathrm{GL}}
\newcommand   \SL    {\mathrm{SL}}
\newcommand   \PSL   {\mathrm{PSL}}
\newcommand   \PGL   {\mathrm{PGL}}
\newcommand   \Sp    {\mathrm{Sp}}
\newcommand   \Span  {\mathrm{Span}}
\newcommand   \Aut   {\mathrm{Aut}}
\newcommand   \Res   {\mathop{\mathrm{Res}}}
\renewcommand \Re    {\mathop{\mathrm{Re}}}
\renewcommand \Im    {\mathop{\mathrm{Im}}}
\newcommand   \Tr    {\mathrm{Tr}}
\newcommand   \Pf    {\mathrm{Pf}}
\newcommand   \Ker   {\mathop{\mathrm{Ker}}}
\newcommand   \Coker {\mathop{\mathrm{Coker}}}
\newcommand   \Hom   {\mathrm{Hom}}
\newcommand   \Mor   {\mathrm{Mor}}
\newcommand   \Gal   {\mathrm{Gal}}
\newcommand   \Sym   {\mathrm{Sym}}
\newcommand   \codim {\mathop{\mathrm{codim}}}
\newcommand   \ind   {\mathop{\mathrm{ind}}}

%%%%%%% Single-letter Shortcuts %%%%%%%
%% note: I've defined bold and caligraphed shortcuts only for the
%% letters I used most often.  This is not the whole alphabet (and nor
%% can it be -- consider, e.g., {\bf...})

%%%%%%% Bold Letters %%%%%%%
%% lowercase
\newcommand   \ba {\mathbf{a}}
\newcommand   \bi {\mathbf{i}}
\newcommand   \bj {\mathbf{j}}
\newcommand   \bk {\mathbf{k}}
\newcommand   \bl {\mathbf{l}}
\newcommand   \bn {\mathbf{n}}
\newcommand   \bp {\mathbf{p}}
\newcommand   \bq {\mathbf{q}}
\newcommand   \br {\mathbf{r}}
\newcommand   \bs {\mathbf{s}}
\newcommand   \bt {\mathbf{t}}
\newcommand   \bu {\mathbf{u}}
\newcommand   \bv {\mathbf{v}}
\newcommand   \bw {\mathbf{w}}
\newcommand   \bx {\mathbf{x}}
\newcommand   \by {\mathbf{y}}
\newcommand   \bz {\mathbf{z}}
%% Uppercase
\newcommand   \bA {\mathbf{A}}
\newcommand   \bB {\mathbf{B}}
\newcommand   \bE {\mathbf{E}}
\newcommand   \bF {\mathbf{F}}
\newcommand   \bG {\mathbf{G}}
\newcommand   \bH {\mathbf{H}}
\newcommand   \bI {\mathbf{I}}
\newcommand   \bJ {\mathbf{J}}
\newcommand   \bK {\mathbf{K}}
\newcommand   \bL {\mathbf{L}}
\newcommand   \bP {\mathbf{P}}
\newcommand   \bQ {\mathbf{Q}}
\newcommand   \bR {\mathbf{R}}
\newcommand   \bS {\mathbf{S}}

%%%%%%% Caligraphic Letters %%%%%%%
\newcommand   \cA {\mathcal{A}}
\newcommand   \cB {\mathcal{B}}
\newcommand   \cC {\mathcal{C}}
\newcommand   \cD {\mathcal{D}}
\newcommand   \cE {\mathcal{E}}
\newcommand   \cF {\mathcal{F}}
\newcommand   \cG {\mathcal{G}}
\newcommand   \cH {\mathcal{H}}
\newcommand   \cL {\mathcal{L}}
\newcommand   \cM {\mathcal{M}}
\newcommand   \cO {\mathcal{O}}
\newcommand   \cP {\mathcal{P}}
\newcommand   \cT {\mathcal{T}}
\newcommand   \cZ {\mathcal{Z}}

%%%%%%% Unit Vectors %%%%%%%
\newcommand   \xhat {\hat{\bx}}
\newcommand   \yhat {\hat{\by}}
\newcommand   \zhat {\hat{\bz}}
\newcommand   \rhat {\hat{\br}}
\newcommand   \nhat {\hat{\bn}} 

%%%%%%% General Environment Shortcuts %%%%%%%
%\newcommand   \be     {\begin{align*}} % These are broken -- macros
%\newcommand   \ee     {\end  {align*}} % for \end{..} don't work in align
%\newcommand   \ben    {\begin{align}}
%\newcommand   \een    {\end  {align}}
\newcommand   \be     {\begin{eqnarray*}} % these should be replaced
\newcommand   \ee     {\end  {eqnarray*}} % by align, but can't be...
\newcommand   \ben    {\begin{eqnarray}}
\newcommand   \een    {\end  {eqnarray}}
\newcommand   \bitem  {\begin{itemize}}
\newcommand   \eitem  {\end  {itemize}}
\newcommand   \benum  {\begin{enumerate}}
\newcommand   \eenum  {\end  {enumerate}}


%%%%%%%% Theorem Types %%%%%%%%
% last arg means number by sections (e.g. Theorem 2.3)
\newtheorem  {theorem} {Theorem} [section]
% the second arg means share the same counter with 'theorem'
\newtheorem  {lemma}       [theorem] {Lemma}
\newtheorem  {corollary}   [theorem] {Corollary}
\newtheorem  {proposition} [theorem] {Proposition}
% individually counted, for use in problem sets
\newtheorem  {lemma*} {Lemma}

% not numbered
\newtheorem* {definition} {Definition}
\newtheorem* {claim}      {Claim}
\newtheorem* {remark}     {Remark}

%%%%%%% Theorem Environment Shortcuts %%%%%%%
\newcommand   \blem    {\begin{lemma}}
\newcommand   \elem    {\end  {lemma}}
\newcommand   \bpf     {\begin{proof}}
\newcommand   \epf     {\end  {proof}}
\newcommand   \bprop   {\begin{proposition}}
\newcommand   \eprop   {\end  {proposition}}
\newcommand   \bthm    {\begin{theorem}}
\newcommand   \ethm    {\end  {theorem}}
\newcommand   \bedef   {\begin{definition}}
\newcommand   \stopdef {\end  {definition}}
\newcommand   \bclaim  {\begin{claim}}
\newcommand   \eclaim  {\end  {claim}}
\newcommand   \bcor    {\begin{corollary}}
\newcommand   \ecor    {\end  {corollary}}
\newcommand   \brmk    {\begin{remark}}
\newcommand   \ermk    {\end  {remark}}

%%%%%%%%% new maketitle for problem sets %%%%%%%%%%%%
\newcommand \makepsettitle {
  \begin{center}
    {\sc \@title } \\
    \@date
  \end{center}
  \markright{ {\rm \@author} } % should probably be shipped out of this macro
}