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% File: $Id$
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% Defines various relational algebra symbols.
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\NeedsTeXFormat{LaTeX2e}[2001/06/01]
\ProvidesPackage{relalg}[2008/02/28 Relational algebra notation]

\RequirePackage{latexsym}
\RequirePackage{graphics}
% Graphics is needed so that we can scale the size of a couple of operators.


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% BASIC OPERATORS
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% select or restrict operator
\newcommand{\RelSelect}{\ensuremath{\sigma}}
\newcommand{\RelRestrict}{\ensuremath{\sigma}}

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% project operator
\newcommand{\RelProject}{\ensuremath{\pi}}

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% set union operator
\newcommand{\RelUnion}{\ensuremath{\cup}}

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% set difference operator
\newcommand{\RelDifference}{\ensuremath{-}}

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% cartesian product operator
\newcommand{\RelProduct}{\ensuremath{\times}}

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% rename operator
\newcommand{\RelRename}{\ensuremath{\rho}}


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% ADDITIONAL OPERATORS
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% set intersection operator
\newcommand{\RelIntersection}{\ensuremath{\cap}}
\newcommand{\RelIntersect}{\ensuremath{\cap}}

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% natural join operator
\newcommand{\RelNaturalJoin}{\ensuremath{\Join}}
\newcommand{\RelNatJoin}{\ensuremath{\Join}}
\newcommand{\RelNJoin}{\ensuremath{\Join}}

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% division operators
\newcommand{\RelDivide}{\ensuremath{/}}
\newcommand{\RelAltDivide}{\ensuremath{\div}}

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% assignment operator
\newcommand{\RelAssign}{\ensuremath{\leftarrow}}


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% EXTENDED OPERATORS
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% aggregate functions
\newcommand{\RelSum}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{sum}}(#1)}}}
\newcommand{\RelAvg}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{avg}}(#1)}}}
\newcommand{\RelMin}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{min}}(#1)}}}
\newcommand{\RelMax}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{max}}(#1)}}}
\newcommand{\RelCount}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{count}}(#1)}}}

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% outer join operators
% Note: can't use \ensuremath in these because it screws up the spacing.
% The $ are OK though because they're used inside hboxes anyway.
\newcommand{\RelLeftOuterJoin}{\scalebox{0.5}[1]{$\sqsupset$}\mkern-2.5mu\lower0.1em\hbox{$\Join$}}
\newcommand{\RelleftOuterJoin}{\LeftOuterJoin}
\newcommand{\RelLOuterJoin}{\LeftOuterJoin}
\newcommand{\RelLeftOuter}{\LeftOuterJoin}
\newcommand{\RelLOJ}{\LeftOuterJoin}

\newcommand{\RelRightOuterJoin}{\lower0.1em\hbox{$\Join$}\mkern-2.5mu\scalebox{0.5}[1]{$\sqsubset$}}
\newcommand{\RelrightOuterJoin}{\RightOuterJoin}
\newcommand{\RelROuterJoin}{\RightOuterJoin}
\newcommand{\RelRightOuter}{\RightOuterJoin}
\newcommand{\RelROJ}{\RightOuterJoin}

\newcommand{\RelFullOuterJoin}{\scalebox{0.5}[1]{$\sqsupset$}\mkern-2.5mu\lower0.1em\hbox{$\Join$}\mkern-2.5mu\scalebox{0.5}[1]{$\sqsubset$}}
\newcommand{\RelfullOuterJoin}{\FullOuterJoin}
\newcommand{\RelFOuterJoin}{\FullOuterJoin}
\newcommand{\RelFullOuter}{\FullOuterJoin}
\newcommand{\RelFOJ}{\FullOuterJoin}


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% MISCELLANEOUS
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% logical operators
% \And appears to conflict with beamer? (unconfirmed)
\newcommand{\RelLogicalAnd}{\ensuremath{\wedge}}
\newcommand{\RelLogAnd}{\ensuremath{\wedge}}

\newcommand{\RelLogicalOr}{\ensuremath{\vee}}
\newcommand{\RelLogOr}{\ensuremath{\vee}}

\newcommand{\RelLogicalNot}{\ensuremath{\neg}}
\newcommand{\RelLogNot}{\ensuremath{\neg}}

\endinput

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% $Log$
% Revision 1.5  2008/02/27 22:07:34  nstanger
% - Prefixed all macro names with "Rel" to avoid namespace clashes.
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% Revision 1.4  2005/03/08 01:25:23  nstanger
% - Updated package date.
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% Revision 1.3  2005/03/08 01:24:51  nstanger
% - Added \leftOuterJoin, \rightOuterJoin and \fullOuterJoin to make generating
%   them from XML easier.
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% Revision 1.2  2004/07/19 00:26:19  nstanger
% - Renamed logical operators to \LogicalXXX because of conflict with \And, possibly defined in beamer?
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