%
% \iffalse
%% Copyright 1996 1997 Frank Mittelbach and David Carlisle.
%%
%% Development of this package was commissioned by Y&Y Inc.
%% http://www.yandy.com
%% This package may be distributed under the terms of the LaTeX Project Public
%% License, as described in lppl.txt in the base LaTeX distribution.
%% Either version 1.0 or, at your option, any later version.
%%
%
%
%<*dtx>
\ProvidesFile{mathtime.dtx}
%</dtx>
%<package>\NeedsTeXFormat{LaTeX2e}[1995/01/01]
%<mathtime>\ProvidesPackage{mathtime}
%<mathpi>\ProvidesPackage{mathpi}
%<driver>\ProvidesFile{mathtime.drv}
% \fi
% \ProvidesFile{mathtime.dtx}
[1999/03/29 v1.1%
%<mathtime> mathtime
%<mathpi> mathpi
font support (FMi/DPC)]
%
% \iffalse
%<*driver>
\documentclass{ltxdoc}
%\usepackage{mathtime}
\DocInput{mathtime.dtx}
\end{document}
%</driver>
% \fi
%
% \CheckSum{853}
%
% \GetFileInfo{mathtime.dtx}
% \begin{document}
% \title{The \textsf{mathtime} and \textsf{mathpi} packages\thanks
% {This file has version number \fileversion,
% last revised \filedate.}\ \thanks{Development of
% this package was commissioned by Y\&Y.}}
%
% \date{\filedate}
% \author{Frank Mittelbach with support by David Carlisle}
% \maketitle
%
% \section{The mathtime package}
%
% The mathtime package contains the code to support the Math Time fonts.
%
% \subsection{Usage and options}
%
% To load support for the Math Time fonts add the following
% declaration to the preamble of your \LaTeX{} document:
% \begin{quote}
% \verb=\usepackage[=\meta{options}\verb=]{mathtime}=
% \end{quote}
% This package supports several options:
% \begin{description}
% \item[nobold] default.
%
% \item[cmbold] use cm bold fonts (not recommended, the bold fonts
% will then be encoded differently to the normal weight ones, and
% no account of this will be taken).
%
% \item[mtbold] This provides bold and heavy math versions coming
% with the Math Time Plus fonts.
%
% \item[heavybold] Also requires the Math Time Plus font set, just
% define bold math version (not heavy) but use the heavy fonts where
% available.
%
% In all cases the user level command |\heavymath| is defined to be
% |\boldmath| if the heavy math version is not defined.
%
% \item[slantedgreek] Make the lowercase greek letters slanted
% (by default).
% Note that the uppercase greek letters are always upright.
%
% \item[uprightgreek] Make the lowercase greek letters upright.
%
% \item[subscriptcorrection]
% Redefine |_| so that it automatically adds negative kerns in
% subscripts if they start with either
% \texttt{j}, \texttt{p}, or \texttt{f}.
% This option might generate problems if other packages are
% loaded as well.
%
% The subscript correction also be be turned on and off within the
% document using the commands:\\
% |\enablesubscriptcorrection| and
% |\disablesubscriptcorrection|.
%
% \item[nosubscriptcorrection]
% Disable the the subscript correction (default).
%
% \item[cmcal]
% This option uses the Computer Modern calligraphic alphabet
% for |\mathcal| --- a bad choice, but what do you do if nothing else
% is at your disposal. We make this the default as we know that it is
% always around.
%
% \item[lucidacal] This options sets up |\mathcal| to load the Lucida
% calligraphic font as a math alphabet. It also defines |\mathbcal| to
% always refer to the bold series of this alphabet.
%
% \item[lucidascr] Like \texttt{lucidacal} but puts the font into
% |\mathscr|. This might be useful if for some reason |\mathcal|
% already contains some special calligraphic alphabet.
%
% \item[mtplusscr] This options sets up |\mathscr| to load the Math Time
% Plus script font as a math alphabet. It also defines |\mathbscr| to
% always refer to the bold series of this alphabet.
%
% \item[mtpluscal] Like \texttt{mtplusscr} but puts the font into the
% |\mathcal| alphabet.
%
% \item[noTS1]
% The use of the mathtime fonts with text fonts encoded in the
% standard OT1 or T1 encodings leaves a few symbols (section and
% paragraph marks, and dagger symbols) undefined.
% By default the TS1 `text companion encoding' will be used to access
% these symbols, but this option suppresses that.
% If the LY1 option (below) is used this option
% will be implied and dagger etc will be drawn from the operators font.
%
% \item[OT1] Use OT1 encoing for the operators font. This is the
% normal behaviour, but in this package the default behaviour is to
% use the default text encoding for the operators font.
%
% \item[T1] Use T1 encoding for the operators font.
%
% \item[LY1] Use LY1 (Y\&Y's `locally' defined texnansi encoding)
% In the operators font. This option implies the noTS1 option.
% Dagger etc will be drawn from the operators font in this case.
%
% \end{description}
%
% Not all options can be used together, e.g., one can at most select one
% of the options setting up |\mathcal|, if both options are given
% \texttt{mtpluscal} will win over \texttt{luciadcal} and in case of
% |\mathscr|,
% \texttt{lucidascr} will be the winner over \texttt{mtplusscr}.
%
% This package makes a lot of font re-assignments. Normally these
% generate warning messages on the terminal, however getting so many
% messages would be distracting, so a further three options control the
% font tracing. Even more control may be obtained by loading the
% \textsf{tracefnt} package.
%
% \begin{description}
% \item[errorshow] Only show font \emph{errors} on the terminal.
% Warnings are just sent to the log file. This is the default
% for this package.
%
% \item[warningshow] Show font warnings on the terminal. This
% corresponds to the usual \LaTeX\ behaviour.
%
% \item[nofontinfo] Suppress all font warnings, even from the log file.
% \end{description}
%
%
%
% \subsection{Text fonts}
% The package sets up Times, Helvetica, and Courier as the default
% text fonts (selected through |\textrm|, |\textsf|, and |\texttt|)
% unless the text fonts have been explicitly set, e.g., by loading a
% package like \texttt{newcent} before loading the \texttt{mathtime}
% package.
% More exactly the package checks if |\rmdefault| refers to \texttt{cmr}
% and in that case changes all three defaults.
%
% To support a few symbols not available in the Math Time fonts (but
% normally available with \LaTeX) the \texttt{mathtime} package has to
% load the the symbol companion font for Times (i.e., the TS1 encoded
% font).
% To preserve space we do not load the corresponding package
% (\texttt{texcomp}) but only declare those characters we do need.
% If you do want all symbols from this font available in your text load
% the \texttt{textcomp} package in the preamble. Conversely you
% may suppress the declaration of these symbols from the TS1 encoded
% fonts by use of the \texttt{nots1} package option, in which case
% the default definitions refering to the standard \TeX\ encodings
% and hence possibly the Computer Modern fonts will be used.
%
% \subsection{Provided math alphabets}
%
% The package provides be default the five standard math alphabets
% |\mathrm|, |\mathbf|, |\mathit|, |\mathsf| and |\mathtt| pointing
% to the document text fonts, the first three to the roman font
% in normal, bold, and italic, the others to the sans serif and the
% typewriter font.
%
% The |\mathcal| and |\mathbcal| defaults to the Computer Modern
% calligraphic alphabet but can be modified with options as decribed
% above.
%
% Script alphabets with |\mathscr| and |\mathbscr| are only available
% if explicitly selected by an option.
%
% Alternatively one can select other fonts for |\mathscr| and
% |\mathcal|, for example, by loading the \texttt{mathpi} package
% described below.
% An alternative (although not blending very well) would be the
% the Euler Script fonts from the AMS font collection which can be
% loaded as either |\mathcal| or |\mathscr| using the \texttt{eucal}
% package.
%
% A Fraktur alphabet (|\mathfrak|) can be loaded with the
% \texttt{mathpi} fonts (a good match) or by loading the \texttt{eufrak}
% package from the AMS font collection.
%
%
% \subsection{Additional or changed symbols}
%
% The Math Time fonts contain a small number of additional symbols which
% are made available by the \texttt{mathtime} package.
% See the general documentation of the Math Time fonts.
%
% \subsection{Font sizes}
%
% \LaTeX{} is set up in a way that the user normally uses commands
% that hide font sizes rather than specifying font sizes explicitly,
% e.g., instead of |\fontsize{17pt}{19pt}|\allowbreak|\selectfont|
% a command like |\LARGE| is used (which does in fact a bit more than
% just setting the font size).
%
% It is the task of a document class and not that task of a support
% package like this one to decide about the absolute sizes used in a
% document.
% The task of a package like \texttt{mathtime} is to provide sensible
% values for math sizes given some text size.
%
% The default ratio for script fonts is 0.76
% and for scriptscript fonts 0.6.
%
%
% \section{The mathpi package}
%
% The mathpi package provides support for the Adobe math pi fonts by
% declaring a number of math alphabets. It can be used independly of the
% mathtime package. At least one option has to be given, otherwise
% loading this package will have no effect.
% \begin{description}
% \item[mathfrak] Defines |\mathfrak| to refer to the fraktur alphabet
% from the Math Pi Two font.
% \item[mathscr] Defines |\mathscr| to refer to the script alphabet
% from the Math Pi Two font. This needs the font especially encoded,
% see \texttt{mtfonts.fdd} for details.
% \item[mathcal] Defines the script alphabet under the math alphabet
% command usually used for a calligraphic font, otherwise like
% \texttt{mathscr}.
% \item[mathbb] Defines |\mathbb| to refer to the blackboard bold math
% alphabet from Math Pi Six.
% \end{description}
%
%
% \StopEventually{}
%
%
%
% \section{The implementation of mathtime}
%
% \changes{v0.2}{1996/12/12}
% {nobold cmbold mtbold and heavybold options}
% \changes{v0.3}{1996/12/17}
% {nobold cmbold mtbold and heavybold options}
% \changes{v0.7}{1997/01/10}
% {Add font tracing control options}
% \changes{v0.9}{1997/01/16}
% {First public release}
% \changes{v1.0a}{1997/02/14}
% {First ctan release}
% \changes{v1.0d}{1997/09/01}
% {Remove use of double quote hex convention}
%
% \subsection{Options}
%
% We start with declaring the options. For the (un)slanted greek we need
% store the shape information in a macro. For the various bold options
% we use |\boldmath| as a marker since this needs redefinition anyway.
% \begin{macrocode}
%<*mathtime>
\newcommand\greekshape{}
% \end{macrocode}
%
% \begin{macrocode}
\DeclareOption{slantedgreek}{\renewcommand\greekshape{it}}
\DeclareOption{uprightgreek}{\renewcommand\greekshape{n}}
\DeclareOption{nobold}{\let\boldmath=u}
\DeclareOption{cmbold}{\let\boldmath=c}
\DeclareOption{mtbold}{\let\boldmath=m}
\DeclareOption{heavybold}{\let\boldmath=h}
% \end{macrocode}
%
% \begin{macrocode}
\newcommand\enablesubscriptcorrection {\catcode`\_=12\relax}
\newcommand\disablesubscriptcorrection{\catcode`\_=8\relax}
% \end{macrocode}
%
% \begin{macrocode}
\DeclareOption{nosubscriptcorrection}{\disablesubscriptcorrection}
\DeclareOption{subscriptcorrection} {\enablesubscriptcorrection}
% \end{macrocode}
%
% We signal that we want Lucida calligraphic by defining |\mathcal|
% to be the letter |l|. In a similar fashion we handle |\mathscr|.
% \begin{macrocode}
\DeclareOption{cmcal} {\let\mathcal=c}
\DeclareOption{lucidacal}{\let\mathcal=l}
\DeclareOption{mtplusscr}{\let\mathscr=s}
\DeclareOption{mtpluscal}{\let\mathcal=s}
\DeclareOption{lucidascr}{\let\mathscr=l}
% \end{macrocode}
%
%
% The use of the mathtime fonts with text fonts encoded in the standard
% OT1 or T1 encodings leaves a few symbols (section and paragraph marks,
% and dagger symbols) undefined. By default the TS1 `text companion
% encoding' will be used to access these symbols, but this option
% suppresses that. (Leaving you to define these symbols yourself
% some other way, or to accept the default definitions, from
% Computer Modern.)
% \changes{v0.9b}{1997/01/31}
% {option name change nots1 noTS1}
% \begin{macrocode}
\DeclareOption{noTS1} {\let\symtextcomp\relax}
% \end{macrocode}
%
% The next few options control the encoding used for the `operators'
% font. When using Computer Modern Math fonts an OT1 font must be used
% even if an alternative encoding, such as T1, is used for the text
% fonts. This is due to the fact that the default math setup assumes
% that certain symbols (such as uppercase Greek) are available from the
% text font used for the operators symbol font. With this package
% this restriction is not needed as all symbols are accessed from the
% mathtime fonts.
% \changes{v0.9b}{1997/01/31}
% {New options for operator font encoding}
% By default use the current text encoding.
% \begin{macrocode}
\let\operator@encoding\encodingdefault
% \end{macrocode}
%
% Use OT1 encoded `operators' fonts.
% \begin{macrocode}
\DeclareOption{OT1}{\def\operator@encoding{OT1}}
% \end{macrocode}
%
% Use T1 encoded `operators' fonts.
% \begin{macrocode}
\DeclareOption{T1}{\def\operator@encoding{T1}}
% \end{macrocode}
%
% Use LY1 (The local `texnansi' encoding used by the Y\&Y \TeX\ system)
% encoded `operators' fonts. This option implies the `noTS1' option
% as the LY1 encoding includes the dagger and other symbols.
% \begin{macrocode}
\DeclareOption{LY1}{\def\operator@encoding{LY1}\ExecuteOptions{noTS1}}
% \end{macrocode}
%
% This package makes a lot of redefinitions. The warnings can be rather
% annoying so some package options control whether the information
% is printed to the terminal or log file. More control can be obtained
% by loading the \textsf{tracefnt} package.
%
% Just show font errors; Warning and info to the log file.
% The default for this package.
% \begin{macrocode}
\DeclareOption{errorshow}{%
\def\@font@info#1{%
\GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
{LaTeX Font Info: \space\space\space#1}}%
\def\@font@warning#1{%
\GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
{LaTeX Font Warning: #1}}}
% \end{macrocode}
%
% The normal \LaTeX\ default, Font Info to the log file and Font
% Warning to the terminal.
% \begin{macrocode}
\DeclareOption{warningshow}{%
\def\@font@info#1{%
\GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
{LaTeX Font Info: \space\space\space#1}}%
\def\@font@warning#1{%
\GenericWarning{(Font)\@spaces\@spaces\@spaces\space\space}%
{LaTeX Font Warning: #1}}}
% \end{macrocode}
%
% On some machines writing all the log info may slow things down
% so extra option not to log font changes at all.
% \begin{macrocode}
\DeclareOption{nofontinfo}{%
\let\@font@info\@gobble
\let\@font@warning\@gobble}
% \end{macrocode}
%
% The defaults:
% \begin{macrocode}
\ExecuteOptions{%
slantedgreek,nobold,nosubscriptcorrection,cmcal,errorshow}
% \end{macrocode}
%
% \begin{macrocode}
\ProcessOptions
% \end{macrocode}
%
% If the text font default for roman is CMR we switch to Times,
% otherwise we assume that the user has already added a package
% selecting the text font faces.
% \begin{macrocode}
\edef\@tempa{\rmdefault}
\def\@tempb {cmr}
\ifx\@tempa\@tempb
\renewcommand*\sfdefault{phv}
\renewcommand*\rmdefault{ptm}
\renewcommand*\ttdefault{pcr}
\renewcommand*\bfdefault{b}
\fi
% \end{macrocode}
%
% \subsection{Math Font Declarations}
%
% As the Math Time fonts unfortunately do come with their private
% encoding we need to make those encodings known to \LaTeX.
% \begin{macrocode}
\DeclareFontEncoding{MY1}{}{}
\DeclareFontEncoding{MY2}{}{}
\DeclareFontEncoding{MY3}{}{}
\DeclareFontSubstitution{MY1}{mtt}{m}{it}
\DeclareFontSubstitution{MY2}{mtt}{m}{n}
\DeclareFontSubstitution{MY3}{mtt}{m}{n}
% \end{macrocode}
%
% Not clear if we should use |\rmdefault| or fix the operator symbol
% font to Times --- probably the latter.
%
% The main four symbol fonts are already declared in the \LaTeX{}
% format. Thus we don't need to declare them but simply change he
% relevant slots in the normal and bold math version.
%
% \changes{v0.9b}{1997/01/31}
% {Dont force OT1 encoding for operators}
% \begin{macrocode}
%\DeclareSymbolFont{operators} {\operator@encoding}{\rmdefault}{m}{n}
%\DeclareSymbolFont{letters} {MY1}{mtt}{m}{it}
%\DeclareSymbolFont{symbols} {MY2}{mtt}{m}{n}
%\DeclareSymbolFont{largesymbols}{MY3}{mtt}{m}{n}
% \end{macrocode}
%
% The normal weight fonts are availble by default.
% \begin{macrocode}
\SetSymbolFont{operators} {normal}{\operator@encoding}{ptm}{m}{n}
\SetSymbolFont{letters} {normal}{MY1}{mtt}{m}{it}
\SetSymbolFont{symbols} {normal}{MY2}{mtt}{m}{n}
\SetSymbolFont{largesymbols}{normal}{MY3}{mtt}{m}{n}
% \end{macrocode}
%
% If the |cmbold| package option is specified then the
% Computer Modern Bold math fonts will be used (as is the
% normal \LaTeX\ default). The mathtime fonts are \emph{differently}
% encoded, and so the use of this option may produce some incorrect
% characters (with no warning). However it may be useful if the
% `mathtime plus' bold fonts are not available, and a few bold
% symbols are needed for special circumstances. (However CM bold
% is not much bolder than mathtime normal weight, and is not really
% visually compatible).
% \begin{macrocode}
\ifx\boldmath c
\SetSymbolFont{operators} {bold}{\operator@encoding}{cmr}{bx}{n}
\SetSymbolFont{letters} {bold}{OML}{cmm}{b}{it}
\SetSymbolFont{symbols} {bold}{OMS}{cmsy}{b}{n}
\SetSymbolFont{largesymbols}{bold}{MY3}{mtt}{m}{n}
\PackageWarningNoLine{mathtime}
{The use of the `cmbold' option will result\MessageBreak
in incorrect characters in some circumstances\MessageBreak
without any warning as the Math Time fonts and the\MessageBreak
Computer Modern fonts have incompatible encodings.\MessageBreak
Please use this option with care!\@gobble}
% \end{macrocode}
%
% \begin{macrocode}
\renewcommand\boldmath{\@nomath\boldmath\mathversion{bold}}
\let\heavymath\boldmath
\fi
% \end{macrocode}
%
% This is the default behaviour for this package, |\boldmath| is
% not available. As it is no longer available save some space
% by removing it from the internal list of math versions.
% (Then waste most of the saving on the text of an error message.)
% \begin{macrocode}
\ifx\boldmath u
\let\@tempa\version@elt
\def\version@elt#1{%
\ifx\mv@bold#1\else\noexpand\version@elt\noexpand#1\fi}
\edef\version@list{\version@list}
\let\version@elt\@tempa
\let\mv@bold\@undefined
\renewcommand\boldmath{\PackageError{mathtime}%
{Bold math is not supported}%
{Use cmbold or mtbold options}}
\let\heavymath\boldmath
\fi
% \end{macrocode}
%
% If the bold (and heavy) mathtime fonts are available then they
% can be assigned to the appropriate math versions by specifying the
% |mtbold| package option.
% \begin{macrocode}
\ifx\boldmath m
\SetSymbolFont{operators}{bold}{\operator@encoding}{\rmdefault}{b}{n}
\SetSymbolFont{letters} {bold}{MY1}{mtt}{b}{\greekshape}
\SetSymbolFont{symbols} {bold}{MY2}{mtt}{b}{n}
\SetSymbolFont{largesymbols}{bold}{MY3}{mtt}{b}{n}
% \end{macrocode}
%
% \begin{macrocode}
\DeclareMathVersion{heavy}
\SetSymbolFont{operators}{heavy}{\operator@encoding}{\rmdefault}{b}{n}
\SetSymbolFont{letters} {heavy}{MY1}{mtt}{ub}{\greekshape}
\SetSymbolFont{symbols} {heavy}{MY2}{mtt}{ub}{n}
\SetSymbolFont{largesymbols}{heavy}{MY3}{mtt}{ub}{n}
% \end{macrocode}
%
% \changes{v0.9a}{1997/01/17}
% {Redeclare colon etc to the symbols font}
% As the bold font is available, use these symbols from
% the symbols font rather than operators, so they are made
% bold by |\boldmath|.
% \begin{macrocode}
\DeclareMathSymbol{:}{\mathrel}{symbols}{86}
\DeclareMathSymbol{!}{\mathclose}{symbols}{87}
\DeclareMathSymbol{[}{\mathopen}{symbols}{84}
\DeclareMathSymbol{]}{\mathclose}{symbols}{85}
% \end{macrocode}
%
% \begin{macrocode}
\renewcommand\boldmath{\@nomath\boldmath\mathversion{bold}}
\newcommand\heavymath{\@nomath\heavymath\mathversion{heavy}}
\fi
% \end{macrocode}
%
% Alternatively, you may specify the |heavybold| option, which
% instead of having a `heavy' math version, places the heavy
% fonts in the `bold' math version, to get greater visual
% contrast.
% \begin{macrocode}
\ifx\boldmath h
\SetSymbolFont{operators}{bold}{\operator@encoding}{\rmdefault}{b}{n}
\SetSymbolFont{letters} {bold}{MY1}{mtt}{ub}{\greekshape}
\SetSymbolFont{symbols} {bold}{MY2}{mtt}{ub}{n}
\SetSymbolFont{largesymbols}{bold}{MY3}{mtt}{ub}{n}
% \end{macrocode}
%
% As above, use these symbols from
% the symbols font rather than operators, so they are made
% bold by |\boldmath|.
% \begin{macrocode}
\DeclareMathSymbol{:}{\mathrel}{symbols}{86}
\DeclareMathSymbol{!}{\mathclose}{symbols}{87}
\DeclareMathSymbol{[}{\mathopen}{symbols}{84}
\DeclareMathSymbol{]}{\mathclose}{symbols}{85}
% \end{macrocode}
%
% \begin{macrocode}
\renewcommand\boldmath{\@nomath\boldmath\mathversion{bold}}
\let\heavymath\boldmath
\fi
% \end{macrocode}
%
%
% \subsection{Math alphabet declarations}
%
% The standard alphabets first.
%
% We don't have to declare |\mathrm| as \LaTeX{} declares it as
% a math symbol alphabet pointing to ``operators'' symbol font.
% But if we redeclare it it will then use the text fonts which might
% not be Times.
%
% As standard \LaTeX{} provides a couple of alphabets we better change
% them all \ldots
% \begin{macrocode}
\SetMathAlphabet{\mathrm}{normal}{\encodingdefault}{\rmdefault}{m}{n}
\SetMathAlphabet{\mathbf}{normal}{\encodingdefault}{\rmdefault}{b}{n}
\SetMathAlphabet{\mathit}{normal}{\encodingdefault}{\rmdefault}{m}{it}
\SetMathAlphabet{\mathsf}{normal}{\encodingdefault}{\sfdefault}{m}{n}
\SetMathAlphabet{\mathtt}{normal}{\encodingdefault}{\ttdefault}{m}{n}
% \end{macrocode}
%
% If a bold or heavy version exists add appropriate values.
% Right now |\mathbf| is the same in all versions.
% \begin{macrocode}
\ifx\mv@bold\@undefined
\else
\SetMathAlphabet{\mathrm}{bold} {\encodingdefault}{\rmdefault}{b}{n}
\SetMathAlphabet{\mathbf}{bold} {\encodingdefault}{\rmdefault}{b}{n}
\SetMathAlphabet{\mathit}{bold} {\encodingdefault}{\rmdefault}{b}{it}
\SetMathAlphabet{\mathsf}{bold} {\encodingdefault}{\sfdefault}{b}{n}
% \end{macrocode}
% If the typewriter is Computer Modern the next declaration will revert
% to normal (with a warning) but such is life.
% \begin{macrocode}
\SetMathAlphabet{\mathtt}{bold} {\encodingdefault}{\ttdefault}{b}{n}
\fi
% \end{macrocode}
%
% \begin{macrocode}
\ifx\mv@heavy\@undefined
\else
\SetMathAlphabet{\mathrm}{heavy}{\encodingdefault}{\rmdefault}{b}{n}
\SetMathAlphabet{\mathbf}{heavy}{\encodingdefault}{\rmdefault}{b}{n}
\SetMathAlphabet{\mathit}{heavy}{\encodingdefault}{\rmdefault}{b}{it}
\SetMathAlphabet{\mathsf}{heavy}{\encodingdefault}{\sfdefault}{b}{n}
\SetMathAlphabet{\mathtt}{heavy}{\encodingdefault}{\ttdefault}{b}{n}
\fi
% \end{macrocode}
%
% \subsubsection{Script alphabets}
%
% If the \texttt{mtplusscr} option was selected
% we make |\mathscr| point to Spivak's script font.
%
% Declaring the bold version first takes care of bold and heavy
% version.
% So far this doesn't allow for alternatives but I think the best
% solution here would be to provide input ligatures \texttt{*A}
% etc.\ in the font itself. However as \TeX{} doesn't handle math
% accents correctly in that case that idea might not be so good after
% all.
% Perhaps defining a |\variant| command might be better, e.g.,
% |\mathscr{\variant A}| --- we'll see.
% \changes{v1.0b}{1997/02/24}
% {clear existing definitions of \cs{mathscr} and \cs{mathcal}}
% \begin{macrocode}
\ifx\mathscr s
\let\mathscr\relax
\DeclareMathAlphabet\mathscr{U} {mtms}{b}{n}
\SetMathAlphabet \mathscr{normal}{U}{mtms}{m}{n}
% \end{macrocode}
%
% The |\mathbscr| is bold in all versions.
% \begin{macrocode}
\DeclareMathAlphabet\mathbscr{U}{mtms}{b}{n}
\fi
% \end{macrocode}
%
% If \texttt{lucidascr} was selected we put the Lucida calligraphic
% font in |\mathscr|:
% \begin{macrocode}
\ifx\mathscr l
\let\mathscr\relax
\DeclareMathAlphabet{\mathscr} {OMS}{lby}{b}{n}
\SetMathAlphabet {\mathscr}{normal} {OMS}{lby}{m}{n}
% \end{macrocode}
% |\mathbscr| will be bold in all math versions.
% \begin{macrocode}
\DeclareMathAlphabet{\mathbscr} {OMS}{lby}{b}{n}
\fi
% \end{macrocode}
%
% \subsubsection{Calligraphic alphabets}
%
% If the \texttt{lucidacal} option was selected we set up |\mathcal|.
% \begin{macrocode}
\ifx\mathcal l
\let\mathcal\relax
\DeclareMathAlphabet{\mathcal} {OMS}{lby}{b}{n}
\SetMathAlphabet {\mathcal}{normal} {OMS}{lby}{m}{n}
% \end{macrocode}
% |\mathbcal| will be bold in all math versions.
% \begin{macrocode}
\DeclareMathAlphabet{\mathbcal} {OMS}{lby}{b}{n}
\fi
% \end{macrocode}
%
% The code below refers to the \texttt{mtpluscal} option:
% \begin{macrocode}
\ifx\mathcal s
\let\mathcal\relax
\DeclareMathAlphabet\mathcal{U} {mtms}{b}{n}
\SetMathAlphabet \mathcal{normal}{U}{mtms}{m}{n}
% \end{macrocode}
%
% The |\mathbcal| is bold in all versions.
% \begin{macrocode}
\DeclareMathAlphabet\mathbcal{U}{mtms}{b}{n}
\fi
% \end{macrocode}
% The code below will be used if no calligraphic option has been
% selected. We need to redeclare that alphabet as by default it points
% to the symbols alphabet that in case of the Math Time fonts simply
% doesn't contain a math alphabet any longer.
% \begin{macrocode}
\ifx\mathcal c
\let\mathcal\relax
\DeclareMathAlphabet\mathcal{OMS} {cmsy}{b}{n}
\SetMathAlphabet \mathcal{normal}{OMS}{cmsy}{m}{n}
% \end{macrocode}
%
% The |\mathbcal| is bold in all versions.
% \begin{macrocode}
\DeclareMathAlphabet\mathbcal{OMS} {cmsy}{b}{n}
\fi
% \end{macrocode}
%
% \subsection{Math Symbol Declarations}
%
% In MathT\i me, italic upper case Greek found in math italic font
% and we don't make them changable with the font.
% \begin{macrocode}
\DeclareMathSymbol\Gamma {\mathord}{letters}{48}
\DeclareMathSymbol\Delta {\mathord}{letters}{49}
\DeclareMathSymbol\Theta {\mathord}{letters}{50}
\DeclareMathSymbol\Lambda {\mathord}{letters}{51}
\DeclareMathSymbol\Xi {\mathord}{letters}{52}
\DeclareMathSymbol\Pi {\mathord}{letters}{53}
\DeclareMathSymbol\Sigma {\mathord}{letters}{54}
\DeclareMathSymbol\Upsilon{\mathord}{letters}{55}
\DeclareMathSymbol\Phi {\mathord}{letters}{56}
\DeclareMathSymbol\Psi {\mathord}{letters}{57}
\DeclareMathSymbol\Omega {\mathord}{letters}{127}
% \end{macrocode}
%
% \begin{macrocode}
\DeclareMathSymbol\varGamma {\mathord}{letters}{0}
\DeclareMathSymbol\varDelta {\mathord}{letters}{1}
\DeclareMathSymbol\varTheta {\mathord}{letters}{2}
\DeclareMathSymbol\varLambda {\mathord}{letters}{3}
\DeclareMathSymbol\varXi {\mathord}{letters}{4}
\DeclareMathSymbol\varPi {\mathord}{letters}{5}
\DeclareMathSymbol\varSigma {\mathord}{letters}{6}
\DeclareMathSymbol\varUpsilon {\mathord}{letters}{7}
\DeclareMathSymbol\varPhi {\mathord}{letters}{8}
\DeclareMathSymbol\varPsi {\mathord}{letters}{9}
\DeclareMathSymbol\varOmega {\mathord}{letters}{10}
% \end{macrocode}
% The next setting all need to be checked for correctness
% (with a test file).
% Those settings where I think the \LaTeX{} defaults are the same, are
% commented out.
%
% \begin{macrocode}
\DeclareMathSymbol{(}{\mathopen}{letters}{46} % was 028
\DeclareMathSymbol{)}{\mathclose}{letters}{47} % was 029
% \end{macrocode}
%
% Not sure this version of |\DeclareMathDelimiter| is documented or
% used anywhere, but like |\DeclareMathSymbol| it can take
% a character token (and one less argument).
% \changes{v0.2}{1996/12/12}{use \cs{DeclareMathDelimiter}}
% \begin{macrocode}
\DeclareMathDelimiter{(}{letters}{46}{largesymbols}{0}
\DeclareMathDelimiter{)}{letters}{47}{largesymbols}{1}
% \end{macrocode}
%
% \begin{macrocode}
%\DeclareMathSymbol{.}{\mathord}{letters}{58}
%\DeclareMathSymbol{,}{\mathpunct}{letters}{59}
%\DeclareMathSymbol{\ldotp}{\mathpunct}{letters}{58}
% \end{macrocode}
%
% \begin{macrocode}
\DeclareMathSymbol{\triangleleft}{\mathbin}{symbols}{71} % was 12F
\DeclareMathSymbol{\triangleright}{\mathbin}{symbols}{70} % was 12E
% \end{macrocode}
%
% \changes{v0.9c}{1997/02/07}
% {Add \cs{varkappa}}
% \begin{macrocode}
\DeclareMathSymbol{\comp}{\mathbin}{symbols}{66} % new?
\DeclareMathSymbol{\setdif}{\mathbin}{symbols}{88} % new
\DeclareMathSymbol{\cupprod}{\mathbin}{symbols}{89} % new
\DeclareMathSymbol{\capprod}{\mathbin}{symbols}{90} % new
\DeclareMathSymbol{+}{\mathbin}{symbols}{67} % was 02B
\DeclareMathSymbol{=}{\mathrel}{symbols}{68} % was 03D
\let\Relbar\@undefined
\DeclareMathSymbol{\Relbar}{\mathrel}{symbols}{72} % was a macro
\DeclareMathSymbol{;}{\mathpunct}{symbols}{73} % was 13B
\DeclareMathSymbol{\varkappa}{\mathord}{letters}{126} % new (AMS)
% \end{macrocode}
%
% We make all accents |\mathord|; as they are placed in strange
% positions it is really not feasible to support changing them.
% \begin{macrocode}
\DeclareMathAccent{\vec}{\mathord}{symbols}{69}
\DeclareMathAccent{\grave}{\mathord}{symbols}{74}
\DeclareMathAccent{\acute}{\mathord}{symbols}{75}
\DeclareMathAccent{\check}{\mathord}{symbols}{76}
\DeclareMathAccent{\breve}{\mathord}{symbols}{77}
\DeclareMathAccent{\bar}{\mathord}{symbols}{78}
\DeclareMathAccent{\hat}{\mathord}{symbols}{79}
\DeclareMathAccent{\dot}{\mathord}{symbols}{80}
\DeclareMathAccent{\tilde}{\mathord}{symbols}{81}
\DeclareMathAccent{\ddot}{\mathord}{symbols}{82}
\DeclareMathAccent{\widebar}{\mathord}{symbols}{83} % new
% \end{macrocode}
%
% Next two are the same as in standard \LaTeX{}.
% \begin{macrocode}
%\DeclareMathAccent{\widetilde}{\mathord}{largesymbols}{101}
%\DeclareMathAccent{\widehat}{\mathord}{largesymbols}{98}
% \end{macrocode}
%
% \subsection{AMS double accent commands}
%
% Unfortunately the AMS double accent commands such as |\Hat|
% assume that the math accents come from an `OT1' encoded
% font in the `operators' math symbol font. To use
% these commands with mathtime you may need to place code
% such as the following into a package file and load that after
% loading the \textsf{amsmath} package. This section is commented out
% here as it would not work without several other sections of
% \textsf{amsmath}, and a future release of the AMS package may anyway
% remove some of these encoding assumptions.
%
%\begin{verbatim}
% \def\@math@ccent#1#2#3{%
% \RIfM@
% \xdef\thefam@{\ifnum\mathgroup=\m@ne1\else\the\mathgroup\fi}%
% \accentdimen@\z@
% \setboxz@h{\unbracefonts@$\m@th\mathgroup\thefam@\relax#3$}%
% \ifdim\accentdimen@=\z@\DN@{#2{#3}}%
% \setbox\@ne\hbox{\unbracefonts@
% $\m@th\mathgroup\thefam@\relax#3\theskewchar@$}
% \setbox\tw@\hbox{$\m@th\ifnum\skewcharcount@=\m@ne\else
% \mathchar\skewcharcount@\fi$}%
% \global\accentdimen@\wd\@ne\global\advance\accentdimen@-\wdz@
% \global\advance\accentdimen@-\wd\tw@
% \global\multiply\accentdimen@\tw@
% \dimentomu@\global\advance\accentmu@\@ne
% \else\DN@{{#2{#3\mkern\accentmu@ mu}%
% \mkern-\accentmu@ mu}{}}\fi
% \next@
% \else
% \nonmatherr@#1%
% \fi}
%
%
% \def\Hat{\@math@ccent\Hat\hat}
% \def\Dot{\@math@ccent\Dot\dot}
% \def\Check{\@math@ccent\Check\check}
% \def\Tilde{\@math@ccent\Tilde\tilde}
% \def\Acute{\@math@ccent\Acute\acute}
% \def\Grave{\@math@ccent\Grave\grave}
% \def\Dot{\@math@ccent\Dot\dot}
% \def\Ddot{\@math@ccent\Ddot\ddot}
% \def\Breve{\@math@ccent\Breve\breve}
% \def\Bar{\@math@ccent\Bar\bar}
% \def\Vec{\@math@ccent\Vec\vec}
%\end{verbatim}
%
% \subsection{Math font sizes}
%
% Math Time, like most other type 1 fonts uses the same font at all
% sizes. For such fonts the default ratios (.7 and .5) produce
% unreadably small superscripts.
% \begin{macrocode}
\def\defaultscriptratio{.76}
\def\defaultscriptscriptratio{.6}
% \end{macrocode}
%
% These default ratios are not used for any sizes that have been
% explicitly declared, so redeclare the sizes used by the standard
% classes. At least for the lower sizes this is important as we don't
% want to end up with a 5pt font being reduced even further.
%
% The table below might need some further tweaking. I selected the
% numbers partly on a few visual tests (but not many) and partly on the
% idea that resusing sizes is better than introducing many new
% ones. Even with Type~1 fonts many people will produce pk versions of
% the fonts in their document (using gftopk, for example).
%
% \begin{macrocode}
\DeclareMathSizes{5} {6} {6} {6}
\DeclareMathSizes{6} {6} {6} {6}
\DeclareMathSizes{7} {6.8} {6} {6}
\DeclareMathSizes{8} {8} {6.8}{6}
\DeclareMathSizes{9} {9} {7.6}{6}
\DeclareMathSizes{10} {10} {7.6}{6}
\DeclareMathSizes{10.95}{10.95}{7.6}{6}
\DeclareMathSizes{12} {12} {9} {7}
\DeclareMathSizes{14.4} {14.4} {10} {8}
\DeclareMathSizes{17.28}{17.28}{12} {9}
\DeclareMathSizes{20.74}{20.74}{14.4}{10}
\DeclareMathSizes{24.88}{24.88}{17.28}{12}
% \end{macrocode}
%
%
% \subsection{Strange Commands}
% |\vdots| and |\ddots| take their ``dots'' from the math fonts.
% In fact this is something that should be corrected in base format
% of \LaTeX{} as well.
%
% \begin{macrocode}
\newcommand\hb@xmdot{\hbox{$\m@th.$}}
\def\vdots{\vbox{\baselineskip4\p@ \lineskiplimit\z@
\kern6\p@\hb@xmdot\hb@xmdot\hb@xmdot}}
\def\ddots{\mathinner{\mkern1mu\raise7\p@\vbox{\kern7\p@
\hb@xmdot}\mkern2mu
\raise4\p@\hb@xmdot\mkern2mu\raise\p@\hb@xmdot\mkern1mu}}
% \end{macrocode}
%
% |\angle| needs a thicker horizontal rule (what a mess).
%
% \begin{macrocode}
\def\angle{{\vbox{\ialign{$\m@th\scriptstyle##$\crcr
\not\mathrel{\mkern14mu}\crcr
\noalign{\nointerlineskip}%
\mkern2.5mu%
\leaders\hrule\@height.48\p@\hfill\mkern2.5mu\crcr}}}}
% \end{macrocode}
%
% Awful many tokens are wasted to define to lower horizontal bar in
% |\hbar|. The definition below uses \={} from the symbol font to
% avoid problems with different text encodings in the operators
% font.
% \changes{v0.2}{1996/12/12}{save a few tokens here}
% \changes{v0.9b}{1997/01/31}
% {New \cs{hbar} getting bar from symbol font not operators}
% \changes{v1.0e}{1997/10/10}{Make \cs{hbar} robust}
% \begin{macrocode}
\DeclareRobustCommand\hbar{{%
\[email protected]%
\[email protected]%
\def\@tempa##1##2{{%
\lower##1\dimen@\rlap{\kern##1\dimen@ii\the##2\tw@\char78}}}%
\mathchoice\@tempa\@ne\textfont
\@tempa\@ne\textfont
\@tempa\defaultscriptratio\scriptfont
\@tempa\defaultscriptscriptratio\scriptscriptfont
h}}
% \end{macrocode}
%
% Redefine |\@fnsymbol| to use |\mathsection| and |\mathparagraph|
% (Should be done in base \LaTeX\ as well).
% \changes{v1.0c}{1997/03/14}
% {Make footnote symbols work with other encodings}
% \begin{macrocode}
\def\@fnsymbol#1{\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or
\mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger
\or \ddagger\ddagger \else\@ctrerr\fi}}
% \end{macrocode}
%
% Wasting a full symbol font just to have |\dagger| and friends. Here
% we pay part of the price for fact that the math time fonts have their
% own encoding incompatible with the CM fonts.
%
% If the |noTS1| option is used, this whole section is skipped unless
% LY1 or T1 encodings are being used, in which case the symbols can be
% accessed from the operators font.
% \begin{macrocode}
\ifx\symtextcomp\relax
\def\@tempa{LY1}
\ifx\operator@encoding\@tempa
\DeclareMathSymbol\dagger {\mathbin}{operators}{134}
\DeclareMathSymbol\ddagger{\mathbin}{operators}{135}
\DeclareMathSymbol\mathsection{\mathord}{operators}{'247}
\DeclareMathSymbol\mathparagraph{\mathord}{operators}{'266}
\DeclareMathSymbol\mathsterling{\mathord}{operators}{163}
\let\mathunderscore\@undefined
\DeclareMathSymbol\mathunderscore{\mathord}{operators}{95}
\fi
% \end{macrocode}
% If we have T1 encoded operators but are nt using TS1 can at least
% get pounds sign and underscore, but not dagger etc.
% \begin{macrocode}
\def\@tempa{T1}
\ifx\operator@encoding\@tempa
\DeclareMathSymbol\mathsterling{\mathord}{operators}{191}
\let\mathunderscore\@undefined
\DeclareMathSymbol\mathunderscore{\mathord}{operators}{95}
\fi
% \end{macrocode}
%
% \begin{macrocode}
\else
\DeclareFontEncoding{TS1}{}{}
\DeclareSymbolFont{textcomp}{TS1}{ptm}{m}{n}
\ifx\mv@bold\@undefined
\else
\SetSymbolFont {textcomp}{bold}{TS1}{ptm}{b}{n}
\fi
% \end{macrocode}
%
% \begin{macrocode}
\ifx\mv@heavy\@undefined
\else
\SetSymbolFont {textcomp}{heavy}{TS1}{ptm}{b}{n}
\fi
% \end{macrocode}
%
% \begin{macrocode}
\DeclareMathSymbol\dagger {\mathbin}{textcomp}{'204}
\DeclareMathSymbol\ddagger{\mathbin}{textcomp}{'205}
% \end{macrocode}
%
% The math versions for \textsection{} and \textparagraph{}
% are also not in the symbol fonts so we pick them up as well.
% \begin{macrocode}
\DeclareMathSymbol\mathsection{\mathord}{textcomp}{'247}
\DeclareMathSymbol\mathparagraph{\mathord}{textcomp}{'266}
% \end{macrocode}
%
% \begin{macrocode}
\fi
% \end{macrocode}
%
% \subsection{Encoding Specific Text Commands}
%
% Some encoding specific commands default to the OML or OMS encoding.
% As these encodings are not used with this package, we need to change
% the defaults.
%
% These ones used to default to OML
% \begin{macrocode}
\DeclareTextSymbolDefault{\textless}{MY1}
\DeclareTextSymbolDefault{\textgreater}{MY1}
\DeclareTextAccentDefault{\t}{MY2}
% \end{macrocode}
%
% Important is to not only set the default the default but also declare
% the symbols itself. If this is forgotten calling the command will
% generate a loop. Or to quote David:
% \begin{quote}
% [hmm, otherwise you waste an hour or two staring at |\tracingall|
% output trying to work out what the heck is happening:-]
% \end{quote}
%
% \begin{macrocode}
\DeclareTextSymbol{\textless}{MY1}{`\<}
\DeclareTextSymbol{\textgreater}{MY1}{`\>}
\DeclareTextAccent{\t}{MY2}{65}
% \end{macrocode}
%
% These ones used to default to OMS
% \begin{macrocode}
\DeclareTextSymbolDefault{\textasteriskcentered}{MY2}
\DeclareTextSymbolDefault{\textbackslash}{MY2}
\DeclareTextSymbolDefault{\textbar}{MY2}
\DeclareTextSymbolDefault{\textbraceleft}{MY2}
\DeclareTextSymbolDefault{\textbraceright}{MY2}
\DeclareTextSymbolDefault{\textbullet}{MY2}
\DeclareTextSymbolDefault{\textperiodcentered}{MY2}
\DeclareTextAccentDefault{\textcircled}{MY2}
% \end{macrocode}
%
% \begin{macrocode}
\DeclareTextSymbol{\textasteriskcentered}{MY2}{3}
\DeclareTextSymbol{\textbackslash}{MY2}{110}
\DeclareTextSymbol{\textbar}{MY2}{106}
\DeclareTextSymbol{\textbraceleft}{MY2}{102}
\DeclareTextSymbol{\textbraceright}{MY2}{103}
\DeclareTextSymbol{\textbullet}{MY2}{15}
\DeclareTextSymbol{\textperiodcentered}{MY2}{1}
\DeclareTextCommand{\textcircled}{MY2}[1]{{%
\ooalign{%
\hfil \raise .07ex\hbox {\upshape#1}\hfil \crcr
\char13}}}
% \end{macrocode}
%
% These also normally default to OMS, but are not available
% in MY1 or MY2, so get them from the TS1 encoded font.
% \begin{macrocode}
\ifx\symtextcomp\relax
\else
\DeclareTextSymbolDefault{\textsection}{TS1}
\DeclareTextSymbolDefault{\textparagraph}{TS1}
% \end{macrocode}
%
% \begin{macrocode}
\DeclareTextSymbol{\textsection}{TS1}{'247}
\DeclareTextSymbol{\textparagraph}{TS1}{'266}
\fi
% \end{macrocode}
%
%
% \subsection{Subscript correction}
%
% We provide a definition for |_| as active character. This definition
% in itself is not changing \LaTeX's behaviour as by default |_| has
% catcode 8, i.e., subscript character. Only if we change this catcode
% or if we change the |\mathcode| of |_| \TeX{} is going to look at it.
% \begin{macrocode}
\begingroup
\catcode`\_=13
\gdef_#1{\sb{\test@sb#1}}
\endgroup
% \end{macrocode}
%
% The |\test@sb| gets passed the argument of a subscript and tests with
% |\@ifnextchar| if the first non-space token is a \texttt{p}.
% If not it will look at |\@let@token| (set by |\@ifnextchar|) to see
% if it is perhaps \texttt{j} or \texttt{f}. In each case it will add
% a negative kern.
%
% Note that this test will fail if an old \LaTeX{} is used as the old
% definition of |\@ifnextchar| does not use |\@let@token| but
% |\@tempa|.
% However, the worst that would happen is that the kern is not
% inserted. I tried to trap this by requesting a \LaTeX{} not older
% than 1995/01/01.
% \begin{macrocode}
\def\test@sb{%
\@ifnextchar p%
{\mkern\m@ne mu}%
{\ifx\@let@token j%
\mkern-\tw@ mu%
\else
\ifx\@let@token f%
\mkern-\tw@ mu%
\fi
\fi}}
% \end{macrocode}
%
% Finally we set the |\mathcode| of |_| to ``active''. However, as long
% as its |\catcode| is not changed this |\mathcode| is never looked at,
% in other words we can now turn the feature on and off by changing the
% |\catcode| to |12| (that is done in the option section above).
% \begin{macrocode}
\mathcode`\_=\string"8000
% \end{macrocode}
%
%
%
% \begin{macrocode}
%</mathtime>
% \end{macrocode}
%
%
%
%
% \section{Math Pi}
%
% This package consist only of options declaring math alphabets:
% \begin{macrocode}
%<*mathpi>
\DeclareOption{mathfrak}{%
\DeclareMathAlphabet\mathfrak{U}{mh2}{m}{n}}
% \end{macrocode}
%
% \begin{macrocode}
\DeclareOption{mathcal}{%
\DeclareMathAlphabet\mathcal{U}{mh2scr}{m}{n}}
\DeclareOption{mathscr}{%
\DeclareMathAlphabet\mathscr{U}{mh2scr}{m}{n}}
% \end{macrocode}
%
% \begin{macrocode}
\DeclareOption{mathbb}{%
\DeclareMathAlphabet\mathbb{U}{mh6}{m}{n}}
% \end{macrocode}
%
% \begin{macrocode}
\ProcessOptions
% \end{macrocode}
%
% \begin{macrocode}
%</mathpi>
% \end{macrocode}
%
% \subsection{Unused Declarations}
% The following declarations may be extracted from this source
% file, but they are not used in the \textsf{mathpi} package
% as equivalent code is called in the options section.
% \begin{macrocode}
%<*mpifrak>
\DeclareMathAlphabet\mathfrak{U}{mh2}{m}{n}
%</mpifrak>
%
%<*mpiscr>
\DeclareMathAlphabet\mathscr{U}{mh2scr}{m}{n}
%</mpiscr>
%
%<*mpibb>
\DeclareMathAlphabet\mathbb{U}{mh6}{m}{n}
%</mpibb>
% \end{macrocode}
%
% \Finale
%
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