% mgates.sty
% Copyright 2006-2008 Mark Gates
% This document is free; you can redistribute it under terms of the
% GNU General Public License, version 2 or later.

% packages
\usepackage{amsmath}
\usepackage{amssymb}
%\usepackage{mathptmx} % Times
\usepackage{bm}       % bold symbol

% abbreviations
\newcommand{\dx}{\;dx}
\newcommand{\dy}{\;dy}
\newcommand{\dz}{\;dz}
\newcommand{\dr}{\;dr}
\newcommand{\dt}{\;dt}

\newcommand{\dT}{\;d\theta}
\newcommand{\dO}{\;\mathrm{d}\Omega}
\newcommand{\dG}{\;\mathrm{d}\Gamma}

\newcommand{\intO}{\int_\Omega}
\newcommand{\intOe}{\int_{\Omega^e}}

\newcommand{\intG}{\int_\Gamma}
\newcommand{\intGg}{\int_{\Gamma_g}}
\newcommand{\intGh}{\int_{\Gamma_h}}
\newcommand{\intGhe}{\int_{\Gamma_h^e}}

% bold vectors
\newcommand{\x}{\bm{x}}  % generic x vector
\newcommand{\y}{\bm{y}}  % generic y vector
\newcommand{\f}{\bm{f}}  % force vector
\newcommand{\0}{\bm{0}}  % zero vector

% bold matrices
\newcommand{\A}{\bm{A}}  % generic A matrix
\newcommand{\I}{\bm{I}}  % Identity matrix
\newcommand{\J}{\bm{J}}  % Jacobian matrix
\newcommand{\K}{\bm{K}}  % stiffness matrix
\newcommand{\M}{\bm{M}}  % mass matrix

% delimiters
\newcommand{\parens   }[1]{\left(       #1 \right)      }
\newcommand{\brackets }[1]{\left[       #1 \right]      }
\newcommand{\angles   }[1]{\left\langle #1 \right\rangle}
\newcommand{\braces   }[1]{\left\{      #1 \right\}     }
\newcommand{\leftbrace}[2]{\left\{ \begin{array}{#1} #2 \end{array} \right.}
\newcommand{\abs      }[1]{\left\lvert  #1 \right\rvert }
\newcommand{\norm     }[1]{\left\lVert  #1 \right\rVert }
\newcommand{\floor    }[1]{\left\lfloor #1 \right\rfloor}
\newcommand{\ceil     }[1]{\left\lceil  #1 \right\rceil }
\newcommand{\eval     }[1]{\left.       #1 \right\rvert }
%\newcommand{\eval}{\bigr\rvert}

% symbols
\newcommand{\Dt}{\Delta t}
\newcommand{\half}{\tfrac{1}{2}}
\newcommand{\p}{\partial}
\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}
\newcommand{\del}{\nabla}
\newcommand{\grad}{\nabla}
\newcommand{\divr}{\nabla \cdot}  % divergence, \div is division
\newcommand{\curl}{\nabla \times}

% types
\newcommand{\Real}    {\mathbb{R}}
\newcommand{\Complex} {\mathbb{C}}
\newcommand{\Natural} {\mathbb{N}}
\newcommand{\Rational}{\mathbb{Q}}
\newcommand{\Integer} {\mathbb{Z}}
\newcommand{\Imag}    {\mathbb{I}}
\newcommand{\Poly}    {\mathbb{P}}
\newcommand{\re}[1]{\text{Re}(#1)}
\newcommand{\im}[1]{\text{Im}(#1)}

% operators
\newcommand{\cross}{\times}
\newcommand{\by}{\times}
\newcommand{\union}{\cup}
\newcommand{\inter}{\cap}
\newcommand{\compose}{\circ}
\newcommand{\widebar}{\overline}
\newcommand{\close}{\overline}
\renewcommand{\implies}{\Rightarrow}  % a bit shorter
\newcommand{\embed}{\hookrightarrow}

% functions to not italicize
\newcommand{\cond}{\text{cond}}
\newcommand{\range}{\text{range}}
\newcommand{\rank}{\text{rank}}
\newcommand{\sech}{\text{sech}}

% matrices
\newcommand{\mat}[1]{\begin{bmatrix} #1 \end{bmatrix}}   % regular [matrix]
\newcommand{\pmat}[1]{\begin{pmatrix} #1 \end{pmatrix}}  % parens  (matrix)
\newcommand{\qmat}[1]{\begin{Bmatrix} #1 \end{Bmatrix}}  % curly   {matrix}
\newcommand{\smat}[1]{\left[ \begin{smallmatrix} #1 \end{smallmatrix} \right]}   % small [matrix]
\newcommand{\tuple}[1]{\left\langle \begin{matrix} #1 \end{matrix} \right\rangle}  % tuple <matrix>

% font sizes
\newcommand{\xxxxlarge}{\Huge}         % 25    25
\newcommand{\xxxlarge }{\huge}         % 20    25
\newcommand{\xxlarge  }{\LARGE}        % 17    20
\newcommand{\xlarge   }{\Large}        % 14    17
% \large                               % 12    14
\newcommand{\normal   }{\normalsize}   % 10pt  12pt
% \small                               %  9    11
\newcommand{\xsmall   }{\footnotesize} %  8    10
\newcommand{\xxsmall  }{\scriptsize}   %  7     8
\newcommand{\xxxsmall }{\tiny}         %  5     6

% \left
% \bigl
\newcommand{\xbigl  }{\Bigl}
\newcommand{\xxbigl }{\biggl}
\newcommand{\xxxbigl}{\Biggl}

% \right
% \bigr
\newcommand{\xbigr  }{\Bigr}
\newcommand{\xxbigr }{\biggr}
\newcommand{\xxxbigr}{\Biggr}

\newcommand{\todo}[1]{\textcolor{red}{to do: #1}}