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%%% ====================================================================
%%% @LaTeX-file{
%%% filename = "amsopn.dtx",
%%% version = "2.01",
%%% date = "1999/12/14",
%%% time = "17:30:59 EST",
%%% checksum = "46904 254 1037 9431",
%%% author = "American Mathematical Society",
%%% copyright = "Copyright 1995, 1999 American Mathematical Society,
%%% all rights reserved. Copying of this file is
%%% authorized only if either:
%%% (1) you make absolutely no changes to your copy,
%%% including name; OR
%%% (2) if you do make changes, you first rename it
%%% to some other name.",
%%% address = "American Mathematical Society,
%%% Technical Support,
%%% Electronic Products and Services,
%%% P. O. Box 6248,
%%% Providence, RI 02940,
%%% USA",
%%% telephone = "401-455-4080 or (in the USA and Canada)
%%% 800-321-4AMS (321-4267)",
%%% FAX = "401-331-3842",
%%% email = "tech-support@ams.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "operator name, amsopn, DeclareMathOperator",
%%% supported = "yes",
%%% abstract = "This is a \LaTeX{} package that provides a
%%% DeclareMathOperator command for defining named
%%% operators like sin and lim.",
%%% docstring = "The checksum field above contains a CRC-16 checksum
%%% as the first value, followed by the equivalent of
%%% the standard UNIX wc (word count) utility output of
%%% lines, words, and characters. This is produced by
%%% Robert Solovay's checksum utility.",
%%% }
%%% ====================================================================
%
%\iffalse
%<*driver>
\documentclass{amsdtx}
\begin{document}
\title{The \pkg{amsopn} package}
\author{Michael Downes}
\date{Version \fileversion, \filedate}
\hDocInput{amsopn.dtx}
\end{document}
%</driver>
%\fi
%
% \maketitle
%
% \MakeShortVerb\|
%
% \section{Introduction}
%
% The \pkg{amsopn} package provides a command
% \cn{DeclareMathOperator} for defining new `math operator names'
% similar to the standard function names \cn{sin}, \cn{lim},
% \cn{max}, etc.
%
% \StopEventually{}
%
% Standard file identification.
% \begin{macrocode}
\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX)
[1994/12/01]% LaTeX date must December 1994 or later
\ProvidesPackage{amsopn}[1999/12/14 v2.01 operator names]
% \end{macrocode}
%
% What \cs{nolimits@} does is keep a \cn{limits} typed by the user
% from having any effect. This is used for operatornames whose
% standard usage is never to have limits.
% \begin{macrocode}
\def\nolimits@{\@ifnextchar\limits{\nolimits\@gobble}{\nolimits}}
% \end{macrocode}
%
% In operator names, it is sometimes desired to have text-mode
% punctuation characters such as |*-/:'|.
% Because the body of an
% operator name is set in math mode, these few punctuation
% characters will not come out right (wrong symbol/and or wrong
% spacing). The purpose of \cs{newmcodes@} is to make them act like
% their normal text versions.
%
% Where practical, we use decimal numbers to cut down main mem
% usage (\qc{\"} not needed).
% \begin{macrocode}
\begingroup \catcode`\"=12
\gdef\newmcodes@{\mathcode`\'39\mathcode`\*42\mathcode`\."613A%
% \end{macrocode}
% Define \cs{std@minus} for \cs{relbar} use; otherwise there are
% problems with arrows constructed with relbar.
% \begin{macrocode}
\ifnum\mathcode`\-=45 \else
\mathchardef\std@minus\mathcode`\-\relax
\fi
\mathcode`\-45\mathcode`\/47\mathcode`\:"603A\relax}
\endgroup
% \end{macrocode}
%
% The command \cs{operatorname} prints its argument as a `math
% operator' like \cs{sin} or \cs{det}, with proper font and spacing.
% \begin{macrocode}
\DeclareRobustCommand{\operatorname}{%
\@ifstar{\qopname\newmcodes@ m}%
{\qopname\newmcodes@ o}}%
% \end{macrocode}
% In the interior of the \cs{mathop} we need a null object (we choose
% a zero kern for minimum waste of main mem) in order to guard
% against the case where \arg{3} is a single letter; \tex/ will seize
% it and center it on the math axis if there is nothing else inside
% the \cs{mathop} atom.
% \begin{macrocode}
\DeclareRobustCommand{\qopname}[3]{%
\mathop{#1\kern\z@\operator@font#3}%
\csname n#2limits@\endcsname}
% \end{macrocode}
%
% \begin{macro}{\DeclareMathOperator}
% The command \cn{DeclareMathOperator} defines the first argument to
% be an operator name whose text is the second argument. The star
% form means that the operator name should take limits (like \cn{max}
% or \cn{lim}).
% \begin{macrocode}
\newcommand{\DeclareMathOperator}{%
\@ifstar{\@declmathop m}{\@declmathop o}}
% \end{macrocode}
% \end{macro}
%
% In the basic set of operator names (below) we did not use
% \cn{DeclareRobustCommand} because of the hash table cost. But we
% use it here to minimize the chances of trouble, since we are
% producing a user-defined command.
% \begin{macrocode}
\long\def\@declmathop#1#2#3{%
\@ifdefinable{#2}{%
\DeclareRobustCommand{#2}{\qopname\newmcodes@#1{#3}}}}
%
\@onlypreamble\DeclareMathOperator
\@onlypreamble\@declmathop
% \end{macrocode}
%
% \begin{macrocode}
\def\arccos{\qopname\relax o{arccos}}
\def\arcsin{\qopname\relax o{arcsin}}
\def\arctan{\qopname\relax o{arctan}}
\def\arg{\qopname\relax o{arg}}
\def\cos{\qopname\relax o{cos}}
\def\cosh{\qopname\relax o{cosh}}
\def\cot{\qopname\relax o{cot}}
\def\coth{\qopname\relax o{coth}}
\def\csc{\qopname\relax o{csc}}
\def\deg{\qopname\relax o{deg}}
\def\det{\qopname\relax m{det}}
\def\dim{\qopname\relax o{dim}}
\def\exp{\qopname\relax o{exp}}
\def\gcd{\qopname\relax m{gcd}}
\def\hom{\qopname\relax o{hom}}
\def\inf{\qopname\relax m{inf}}
\def\injlim{\qopname\relax m{inj\,lim}}
\def\ker{\qopname\relax o{ker}}
\def\lg{\qopname\relax o{lg}}
\def\lim{\qopname\relax m{lim}}
\def\liminf{\qopname\relax m{lim\,inf}}
\def\limsup{\qopname\relax m{lim\,sup}}
\def\ln{\qopname\relax o{ln}}
\def\log{\qopname\relax o{log}}
\def\max{\qopname\relax m{max}}
\def\min{\qopname\relax m{min}}
\def\Pr{\qopname\relax m{Pr}}
\def\projlim{\qopname\relax m{proj\,lim}}
\def\sec{\qopname\relax o{sec}}
\def\sin{\qopname\relax o{sin}}
\def\sinh{\qopname\relax o{sinh}}
\def\sup{\qopname\relax m{sup}}
\def\tan{\qopname\relax o{tan}}
\def\tanh{\qopname\relax o{tanh}}
% \end{macrocode}
%
% \begin{macro}{\operator@font}
% \begin{macro}{\operatorfont}
% This command is provided to allow the document styles to decide in
% which way math operators like `max' or `log' are typeset. The
% default is to set them in \meta{math group} zero of the current
% math version. The original name was \cs{operator@font}, retained
% for compatibility; the second name was added to make it
% more accessible so that users can call this font for use in special
% constructs that are not ordinary operator names but conceptually
% related.
% \begin{macrocode}
\def\operator@font{\mathgroup\symoperators}
\def\operatorfont{\operator@font}
% \end{macrocode}
% \end{macro}
% \end{macro}
%
% For backwards compatibility we keep this old command name for the
% time being:
% \begin{macrocode}
\def\operatornamewithlimits{\operatorname*}
% \end{macrocode}
%
% These macros use \cs{mathpalette}s so that they will change size
% in script and scriptscript styles, though it's hard to imagine they
% will ever be used there (the arrows, particularly, look bad in
% subscript sizes). Notice that the use of \cs{ex@} means that the
% vertical spacing may not be optimal in script and scriptscript
% sizes. Unfortunately \tex/ provides no easy way to do math mode
% vertical spacing that varies with current math style like mu units.
% \begin{macrocode}
\def\varlim@#1#2{%
\vtop{\m@th\ialign{##\cr
\hfil$#1\operator@font lim$\hfil\cr
\noalign{\nointerlineskip\kern1.5\ex@}#2\cr
\noalign{\nointerlineskip\kern-\ex@}\cr}}%
}
\def\varinjlim{%
\mathop{\mathpalette\varlim@{\rightarrowfill@\textstyle}}\nmlimits@
}
\def\varprojlim{%
\mathop{\mathpalette\varlim@{\leftarrowfill@\textstyle}}\nmlimits@
}
\def\varliminf{\mathop{\mathpalette\varliminf@{}}\nmlimits@}
\def\varliminf@#1{\@@underline{\vrule\@depth.2\ex@\@width\z@
\hbox{$#1\m@th\operator@font lim$}}}
\def\varlimsup{\mathop{\mathpalette\varlimsup@{}}\nmlimits@}
\def\varlimsup@#1{\@@overline{\hbox{$#1\m@th\operator@font lim$}}}
% \end{macrocode}
%
% \begin{macrocode}
\let\nmlimits@\displaylimits
\DeclareOption{namelimits}{\let\nmlimits@\displaylimits}
\DeclareOption{nonamelimits}{\let\nmlimits@\nolimits}
\ProcessOptions\relax
% \end{macrocode}
%
% If we don't load the \pkg{amsgen} package then the use of \cs{ex@}
% in \cs{varlim@} will lead to trouble.
% \begin{macrocode}
\RequirePackage{amsgen}\relax
% \end{macrocode}
%
% The usual \cs{endinput} to ensure that random garbage at the end of
% the file doesn't get copied by \fn{docstrip}.
% \begin{macrocode}
\endinput
% \end{macrocode}
%
% \changes{v1.2a}{1995/02/20}{Fixed operatorname
% (shouldn't have same limits behavior as operatorname*)}
% \CheckSum{300}
% \Finale
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