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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