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+% \iffalse meta-comment
+%
+% tgothic.dtx
+% Copyright 1999 Peter R. Wilson
+%
+% This program is provided under the terms of the
+% LaTeX Project Public License distributed from CTAN
+% archives in directory macros/latex/base/lppl.txt.
+%
+% Author: Peter Wilson (CUA) (now at: peter.r.wilson@boeing.com)
+%
+% If you do not have the docmfp package (available from CTAN in
+% tex-archive/macros/latex/contrib/supported), comment out the
+% \usepackage{docmfp} line below and uncomment the line following it.
+%
+%<*driver>
+\documentclass{ltxdoc}
+\usepackage{docmfp}
+%%%%%% \providecommand{\DescribeVariable}[1]{} \newenvironment{routine}[1]{}{}
+\EnableCrossrefs
+\CodelineIndex
+%% comment out the next line to show the code
+\OnlyDescription
+\setcounter{StandardModuleDepth}{1}
+\begin{document}
+ \DocInput{tgothic.dtx}
+\end{document}
+%</driver>
+%
+% \fi
+%
+% \CheckSum{134}
+%
+% \DoNotIndex{\',\.,\@M,\@@input,\@addtoreset,\@arabic,\@badmath}
+% \DoNotIndex{\@centercr,\@cite}
+% \DoNotIndex{\@dotsep,\@empty,\@float,\@gobble,\@gobbletwo,\@ignoretrue}
+% \DoNotIndex{\@input,\@ixpt,\@m}
+% \DoNotIndex{\@minus,\@mkboth,\@ne,\@nil,\@nomath,\@plus,\@set@topoint}
+% \DoNotIndex{\@tempboxa,\@tempcnta,\@tempdima,\@tempdimb}
+% \DoNotIndex{\@tempswafalse,\@tempswatrue,\@viipt,\@viiipt,\@vipt}
+% \DoNotIndex{\@vpt,\@warning,\@xiipt,\@xipt,\@xivpt,\@xpt,\@xviipt}
+% \DoNotIndex{\@xxpt,\@xxvpt,\\,\ ,\addpenalty,\addtolength,\addvspace}
+% \DoNotIndex{\advance,\Alph,\alph}
+% \DoNotIndex{\arabic,\ast,\begin,\begingroup,\bfseries,\bgroup,\box}
+% \DoNotIndex{\bullet}
+% \DoNotIndex{\cdot,\cite,\CodelineIndex,\cr,\day,\DeclareOption}
+% \DoNotIndex{\def,\DisableCrossrefs,\divide,\DocInput,\documentclass}
+% \DoNotIndex{\DoNotIndex,\egroup,\ifdim,\else,\fi,\em,\endtrivlist}
+% \DoNotIndex{\EnableCrossrefs,\end,\end@dblfloat,\end@float,\endgroup}
+% \DoNotIndex{\endlist,\everycr,\everypar,\ExecuteOptions,\expandafter}
+% \DoNotIndex{\fbox}
+% \DoNotIndex{\filedate,\filename,\fileversion,\fontsize,\framebox,\gdef}
+% \DoNotIndex{\global,\halign,\hangindent,\hbox,\hfil,\hfill,\hrule}
+% \DoNotIndex{\hsize,\hskip,\hspace,\hss,\if@tempswa,\ifcase,\or,\fi,\fi}
+% \DoNotIndex{\ifhmode,\ifvmode,\ifnum,\iftrue,\ifx,\fi,\fi,\fi,\fi,\fi}
+% \DoNotIndex{\input}
+% \DoNotIndex{\jobname,\kern,\leavevmode,\let,\leftmark}
+% \DoNotIndex{\list,\llap,\long,\m@ne,\m@th,\mark,\markboth,\markright}
+% \DoNotIndex{\month,\newcommand,\newcounter,\newenvironment}
+% \DoNotIndex{\NeedsTeXFormat,\newdimen}
+% \DoNotIndex{\newlength,\newpage,\nobreak,\noindent,\null,\number}
+% \DoNotIndex{\numberline,\OldMakeindex,\OnlyDescription,\p@}
+% \DoNotIndex{\pagestyle,\par,\paragraph,\paragraphmark,\parfillskip}
+% \DoNotIndex{\penalty,\PrintChanges,\PrintIndex,\ProcessOptions}
+% \DoNotIndex{\protect,\ProvidesClass,\raggedbottom,\raggedright}
+% \DoNotIndex{\refstepcounter,\relax,\renewcommand,\reset@font}
+% \DoNotIndex{\rightmargin,\rightmark,\rightskip,\rlap,\rmfamily,\roman}
+% \DoNotIndex{\roman,\secdef,\selectfont,\setbox,\setcounter,\setlength}
+% \DoNotIndex{\settowidth,\sfcode,\skip,\sloppy,\slshape,\space}
+% \DoNotIndex{\symbol,\the,\trivlist,\typeout,\tw@,\undefined,\uppercase}
+% \DoNotIndex{\usecounter,\usefont,\usepackage,\vfil,\vfill,\viiipt}
+% \DoNotIndex{\viipt,\vipt,\vskip,\vspace}
+% \DoNotIndex{\wd,\xiipt,\year,\z@}
+%
+% \changes{v1.0}{2002/12/30}{First public release}
+%
+% \def\fileversion{v1.0}
+% \def\filedate{2002/12/30}
+% \newcommand*{\Lpack}[1]{\textsf {#1}} ^^A typeset a package
+% \newcommand*{\Lopt}[1]{\textsf {#1}} ^^A typeset an option
+% \newcommand*{\file}[1]{\texttt {#1}} ^^A typeset a file
+% \newcommand*{\Lcount}[1]{\textsl {\small#1}} ^^A typeset a counter
+% \newcommand*{\pstyle}[1]{\textsl {#1}} ^^A typeset a pagestyle
+% \newcommand*{\Lenv}[1]{\texttt {#1}} ^^A typeset an environment
+% \newcommand*{\AD}{\textsc{ad}}
+% \newcommand*{\thisfont}{Gothic Textura Quadrata}
+%
+% \title{The \Lpack{Gothic Textura Quadrata} fonts\thanks{This
+% file has version number \fileversion, last revised
+% \filedate.}}
+%
+% \author{%
+% Peter Wilson\\
+% Catholic University of America \\
+% Now at \texttt{peter.r.wilson@boeing.com}
+% }
+% \date{\filedate}
+% \maketitle
+% \begin{abstract}
+% The \Lpack{tgothic} and \Lpack{alltgoth} packages provide a set of
+% Metafont \thisfont{} book-hands
+% as used
+% for manuscripts in the 13th to the 15th century. This is one in a series
+% of manuscript fonts.
+% \end{abstract}
+% \tableofcontents
+% \listoftables
+%
+%
+%
+%
+% \section{Introduction}
+%
+% The \Lpack{tgothic} and \Lpack{alltgoth} packages provide a Metafont~\cite{METAFONT} version
+% of the \thisfont{} manuscript book-hand that was in use between about the
+% thirteenth and fifteenth centuries~\AD. It is part of a project to provide fonts
+% covering the major manuscript hands between the first century~\AD{} and
+% the invention of printing. The principal resources used in this project
+% are listed in the Bibliography.
+%
+% This manual is typeset according to the conventions of the
+% \LaTeX{} \textsc{docstrip} utility which enables the automatic
+% extraction of the \LaTeX{} macro source files~\cite{GOOSSENS94}.
+% The \Lpack{docmfp} package is used for documenting the Metafont portions
+% of the distribution~\cite{DOCMFP}.
+%
+% Section~\ref{sec:usc} describes the usage of the package.
+% Commented code for the fonts is in Sections~\ref{sec:mf} and~\ref{sec:fd}
+% and source code for the package is in Section~\ref{sec:code}.
+%
+% \subsection{Manuscript book-hands}
+%
+% Before the invention of printing all books were written by hand. The book-hands
+% used by the scribes and copyists for the manuscripts changed as time
+% went on. Table~\ref{tab:1} lists some of the common book-hands which were used
+% between the 1st and 15th centuries. The later book-hands formed the basis of the
+% fonts used by the early printers, which in turn form the basis of the printing
+% fonts in use today.
+%
+% The manuscript book-hands were written with a broad nibbed reed or quill
+% pen. Among the distinguishing characteristics of a hand, apart from the
+% actual shape of the letters, are the angle of the pen (which controls the
+% variation between thick and thin strokes) and the height of a letter compared
+% to the width of the nib. The lower the ratio of the letter height to nib
+% width, the more condensed is the script. The scripts also varied in their
+% typical height.
+%
+% Table~\ref{tab:1} gives an `average' x-height for each
+% script, which I obtained by measuring a sample of photographs of
+% manuscripts written in the various hands. About a dozen examples
+% of each book-hand were measured. This figure should not be taken too
+% seriously.
+%
+% There was not a sharp division between the use of one hand and another.
+% Many manuscripts exhibit a variety of hands in the same document. For example,
+% the scribe writing in an Uncial hand may have used Roman Rustic letters
+% for capitals. Usually the same pen was used for the two different scripts.
+%
+% Generally speaking, as a hand got older it became more embelished, and
+% therefore took longer to write. As this happened a new hand would appear that
+% was faster, and which would eventually make the earlier one obsolete.
+%
+% Many of the book-hands were single-cased; that is, they did not have an
+% upper- and lower-case as we do nowadays in Western scripts. On the other
+% hand, a script might be majuscule or minuscule. A \textit{majuscule} script
+% is one, like our upper-case, where the letters are drawn between two lines
+% and are of a uniform height with no ascenders or descenders.
+% A \textit{minuscule} script, like our lower-case, is drawn between four lines
+% and has ascenders and descenders.
+%
+% \begin{table}
+% \centering
+% \caption{The main manuscript book-hands} \label{tab:1}
+% \begin{tabular}{lccccc} \hline
+% Name & Century & x-height & Height & Pen & Normalised \\
+% & & (mm) & (nib widths) & angle & height \\ \hline
+% Roman Rustic & 1--6 & 5.7 & 4--6 & 45 & 1.90 \\
+% Uncial & 3--6 & 4.1 & 4--5 & 30 & 1.37 \\
+% Half Uncial & 3--9 & 3.2 & 3--6 & 20--30 & 1.07 \\
+% Artificial Uncial & 6--10 & 4.2 & 3--6 & 10 & 1.40 \\
+% Insular majuscule & 6--9 & 4.2 & 5 & 0--20 & 1.40 \\
+% Insular minuscule & 6 onward & 4.1 & 5--6 & 45--70 & 1.37 \\
+% Carolingian minuscule & 8--12 & 3.0 & 3--5 & 45 & 1.00 \\
+% Early Gothic & 11--12 & 3.8 & 4--6 & 20--45 & 1.27 \\
+% Gothic Textura & 13--15 & 3.9 & 3--5 & 30--45 & 1.30 \\
+% Gothic Prescius & 13 onward & 3.3 & 4--5 & 45 & 1.10 \\
+% Rotunda & 13--15 & 3.2 & 4--6 & 30 & 1.07 \\
+% Humanist minuscule & 14 onward & 3.0 & 4--5 & 30--40 & 1.00 \\ \hline
+% \end{tabular}
+% \end{table}
+%
+% During the period under consideration arabic numerals were effectively
+% not used. At the beginning they were unknown and even though some knew
+% of them towards the end, the glyphs used for them are not recognisable ---
+% to me they look somewhat like cryllic letters --- and each locality
+% and time had its own highly individualistic rendering. The general rule
+% when using one of these book-hands is to write all numbers using
+% roman numerals.
+%
+% The Roman alphabet consisted of 23 capital letters --- the J, U and W
+% were absent. The book-hands initially used both a `u' and a `v' interchangeably
+% but by the 10th century the practice had become to use the `v' before a vowel
+% and the `u' otherwise. The letter corresponding to the W sound appeared
+% in England around the 7th century in
+% the form of the runic \textit{wen} character and by about the 11th century
+% the `w' chacter was generally used. The `J' is the newest letter of all, not
+% appearing until about the mid 16th century.
+%
+% In the first century punctuation was virtually unknown, and typically
+% would not even be any additional space between individual words, never
+% mind denoting ends of sentences. Sometimes a dot at mid-height would be
+% used as a word seperator, or to mark off the end of a paragraph. Effectively
+% a text was a continuous stream of letters. By the time that printing was
+% invented, though, all of our modern punctuation marks were being used.
+%
+% Among all these manuscript hands, the Carolingian minuscule is the
+% most important as our modern fonts are based on its letter shapes, and it is
+% also at this point in time where the division occured between the black letter
+% scripts as used even today in Germany, and the lighter fonts used elesewhere.
+% The Rotunda and Humanist minuscule hands were developed in Italy and were
+% essentially a rediscovery of the Carolingian minusucle. Guthenberg took the
+% Gothic scripts as the model for his types. Later printers,
+% such as Nicholas Jenson of Venice,
+% took the Humanist scripts as their models.
+%
+%
+% \subsection{The \thisfont{} script}
+%
+% With the Gothic hands, used from the thirteenth century, the attention of
+% the scribes moved from the individual letter to the word. The scripts
+% changed to accomodate this interest so the appearance of the letters
+% became subordinate to the overall appearance of the words they formed.
+% Many of the letters appear to be indistinguishable today but the contemporary
+% reading public seemed to have no difficulty.
+%
+% It was during the heyday of the Gothic scripts that separate capital
+% letters were introduced. Also, as a small concession to legibility,
+% the lowecase `i' acquired a small mark above it. Ligatures were similar
+% to those in Early Gothic. The letter `w' was added to the hand early on
+% and `j' started to appear after 1400, providing the full 26 letter alphabet
+% for the first time.
+%
+% This font includes both lowercase and (fancy) uppercase letters. Guthenberg
+% used this script as a model.
+%
+% \section{The \Lpack{tgothic} and \Lpack{alltgoth} packages} \label{sec:usc}
+%
+% The \thisfont{} font family is called |tgoth|. The font is supplied in both
+% OT1 and T1 encodings.
+%
+% \subsection{The \Lpack{tgothic} package}
+%
+% This is intended for the occasions when some short pieces of text have
+% to be written in \thisfont{} while the majority of the document is in another
+% font. The normal baselineskips are used.
+%
+% \DescribeMacro{\tgothfamily}
+% The |\tgothfamily| declaration starts typesetting with the \thisfont{} fonts.
+% Use of the \thisfont{} font will continue until either there is another |\...family|
+% declaration or the current group (e.g., environment) is closed.
+%
+% \DescribeMacro{\texttgoth}
+% The command |\texttgoth{|\meta{text}|}| will typeset \meta{text} using the
+% \thisfont{} fonts.
+%
+% \subsection{The \Lpack{alltgoth} package}
+%
+%
+% This package is for when the entire document will be typeset with the
+% \thisfont{} font. The baselineskips are set to those appropriate to the
+% book-hand.
+%
+% This is a minimalist package. Apart from declaring \thisfont{} to be the
+% default font and setting the baselineskips appropriately, it makes no other
+% alterations.
+% Vertical spacing
+% before and after section titles and before and after lists, etc., will be
+% too small as the \LaTeX{} design assumes a font comparable in size to
+% normal printing fonts, and the book-hand is much taller.
+% To capture more of the flavour of the time, all numbers
+% should be written using roman numerals.
+% The \Lpack{romannum} package~\cite{ROMANNUM}
+% can be used so that \LaTeX{} will typeset the numbers that it generates,
+% like sectioning or caption numbers, using roman numerals instead of arabic
+% digits.
+%
+% \DescribeMacro{\cmrfamily}
+% \DescribeMacro{\textcmr}
+% \DescribeMacro{\cmssfamily}
+% \DescribeMacro{\textcmss}
+% \DescribeMacro{\cmttfamily}
+% \DescribeMacro{\textcmtt}
+% The |...family| declarations start typesetting with the Computer Modern Roman
+% (|\cmrfamily|), the Computer Modern Sans (|\cmssfamily|), and the Computer
+% Modern Typewriter (|\cmttfamily|) font families. The |\textcm..{|\meta{text}|}|
+% commands will typeset \meta{text} in the corresponding Computer Modern font.
+%
+% The \Lpack{alltgoth} package automatically loads the \Lpack{tgothic} package,
+% so its font commands are available if necessary.
+%
+% \StopEventually{
+% \bibliographystyle{alpha}
+% \renewcommand{\refname}{Bibliography}
+% \begin{thebibliography}{GMS94}
+% \addcontentsline{toc}{section}{\refname}
+%
+% \bibitem[And69]{ANDERSON69}
+% Donald M.~Anderson.
+% \newblock {\em The Art of Written Forms: The Theory and Practice of Calligraphy}.
+% \newblock Holt, Rinehart and Winston, 1969.
+%
+% \bibitem[Bol95]{BOLOGNA95}
+% Giulia Bologna.
+% \newblock {\em Illuminated Manuscripts: The Book before Gutenberg}.
+% \newblock Crescent Books, 1995.
+%
+% \bibitem[Day95]{DAY95}
+% Lewis F.~Day.
+% \newblock {\em Alphabets Old \& New}.
+% \newblock (3rd edition originally published by B.~T.~Batsford, 1910)
+% \newblock Senate, 1995.
+%
+% \bibitem[Dro80]{DROGIN80}
+% Marc Drogin.
+% \newblock {\em Medieval Calligraphy: Its History and Technique}.
+% \newblock Allenheld, Osmun \& Co., 1980.
+%
+% \bibitem[Dru95]{DRUCKER95}
+% Johanna Drucker.
+% \newblock {\em The Alphabetic Labyrinth}.
+% \newblock Thames \& Hudson, 1995.
+%
+% \bibitem[Fir93]{FIRMAGE93}
+% Richard A.~Firmage.
+% \newblock {\em The Alphabet Abecedarium}.
+% \newblock David R~Goodine, 1993.
+%
+% \bibitem[Fli98]{LETTRINE}
+% Daniel Flipo.
+% \newblock {\em The LETTRINE package}.
+% \newblock (Available from CTAN in \texttt{macros/latex/contrib/supported}).
+% \newblock 1998.
+%
+% \bibitem[Har95]{HARRIS95}
+% David Harris.
+% \newblock {\em The Art of Calligraphy}.
+% \newblock DK Publishing, 1995.
+%
+% \bibitem[Jen95]{BETON}
+% Frank Jensen.
+% \newblock {\em The BETON package}.
+% \newblock (Available from CTAN in \texttt{macros/latex/contrib/supported}).
+% \newblock 1995.
+%
+% \bibitem[Joh71]{JOHNSTON75}
+% Edward Johnston (ed. Heather Child).
+% \newblock {\em Formal Penship and Other Papers}.
+% \newblock Penthalic, 1971.
+%
+% \bibitem[Knu87]{CM}
+% Donald E.~Knuth.
+% \newblock {\em Computer Modern Typefaces}.
+% \newblock Addison-Wesley, 1987.
+%
+% \bibitem[Knu92]{METAFONT}
+% Donald E.~Knuth.
+% \newblock {\em The METAFONTbook}.
+% \newblock Addison-Wesley, 1992.
+%
+% \bibitem[GMS94]{GOOSSENS94}
+% Michel Goossens, Frank Mittelbach, and Alexander Samarin.
+% \newblock {\em The LaTeX Companion}.
+% \newblock Addison-Wesley Publishing Company, 1994.
+%
+% \bibitem[Tho75]{THOMAS75}
+% Alan G.~Thomas.
+% \newblock {\em Great Books and Book Collectors}.
+% \newblock Weidenfield and Nichoson, 1975.
+%
+% \bibitem[Wil99]{DOCMFP}
+% Peter R.~Wilson.
+% \newblock {\em The DOCMFP Package}.
+% \newblock (Available from CTAN in \texttt{macros/latex/contrib/supported}).
+% \newblock 1999.
+%
+% \bibitem[Wil99b]{ROMANNUM}
+% Peter R.~Wilson.
+% \newblock {\em The ROMANNUM Package}.
+% \newblock (Available from CTAN in \texttt{macros/latex/contrib/supported}).
+% \newblock 1999.
+%
+% \end{thebibliography}
+% }
+%
+% \section{The Metafont code} \label{sec:mf}
+%
+%
+% As previously noted, this work is part of a larger project to provide
+% fonts covering the main manuscript book-hands. As such, one of the
+% aims is to produce a coordinated set of fonts, especially as multiple
+% hands might be used in a single document.
+%
+% Noting that the hands tend to be somewhat larger than the typical 10pt
+% size (where the x-height is approximately 1.5mm) used for modern books,
+% I have also designed the fonts
+% at a larger than normal size, then applied some non-linear factors when reducing
+% them down to a 10pt size.
+% Further, I have used the height of the Carolingian minuscule as a
+% normalising factor when deciding on the absolute height of any particular
+% script. The x-height of the Carolingian font is made equal to the
+% x-height of the Computer Modern Roman (CMR) font.
+%
+% Modern fonts are effectively drawn. That is, the outline of the letter is
+% drawn carefully and the center is filled with ink. This is shown to good
+% effect in the Metafont code for the Computer Modern fonts~\cite{CM}.
+% In contrast, the manuscript letters were inked by single pen strokes in
+% a calligraphic manner. I have tried to repeat this calligraphic style
+% in the Metafont code.
+%
+% As much as possible I have tried to use parameter values from the
+% Computer Modern Roman (CMR) fonts in order to reduce possible
+% infelicities if the CM and manuscript fonts are used together. However,
+% few of the CMR parameters are applicable to the calligraphic style.
+%
+%
+% \subsection{The parameter file}
+%
+% We deal with the parameter files first, and start by announcing
+% what they are for. The \thisfont{} font comes in three sizes and also as a normal
+% and a bold font.
+% \begin{macrocode}
+%<*base7|base10|base17|base7b|base10b|base17b>
+%<base7>%%% TGOTH7.MF Gothic Textura Quadrata at 7 point design size.
+%<base10>%%% TGOTH10.MF Gothic Textura Quadrata at 10 point design size.
+%<base17>%%% TGOTH17.MF Gothic Textura Quadrata at 17 point design size.
+%<base7b>%%% TGOTHB7.MF Gothic Textura Quadrata Bold at 7 point design size.
+%<base10b>%%% TGOTHB10.MF Gothic Textura Quadrata Bold at 10 point design size.
+%<base17b>%%% TGOTHB17.MF Gothic Textura Quadrata Bold at 17 point design size.
+%
+% \end{macrocode}
+% Parameters from CMR are used as much as possible. We also
+% make sure that \Lpack{cmbase} is loaded as well as plain Metafont.
+% \begin{macrocode}
+if unknown cmbase: input cmbase fi
+
+%<base7>font_identifier:="TGOTH"; font_size 7pt#;
+%<base10>font_identifier:="TGOTH"; font_size 10pt#;
+%<base17>font_identifier:="TGOTH"; font_size 17.28pt#;
+%<base7b>font_identifier:="TGOTHB"; font_size 7pt#;
+%<base10b>font_identifier:="TGOTHB"; font_size 10pt#;
+%<base17b>font_identifier:="TGOTHB"; font_size 17.28pt#;
+
+% \end{macrocode}
+%
+% \DescribeVariable{jutstretch}
+% The CMR scaling for lowercase serifs wrt 17pt size.
+% \begin{macrocode}
+%<base7|base7b> jutstretch:=1.19;
+%<base10|base10b> jutstretch:=1.152;
+%<base17|base17b> jutstretch:=1.0;
+% \end{macrocode}
+%
+% \DescribeVariable{stemstretch}
+% The CMR scaling for lowercase stem widths wrt 17pt size.
+% \begin{macrocode}
+%<base7|base7b> stemstretch:=1.50;
+%<base10|base10b> stemstretch:=1.31;
+%<base17|base17b> stemstretch:=1.0;
+% \end{macrocode}
+%
+% \DescribeVariable{caprat}
+% The scaling for capitals wrt lowercase.
+% (the ratio for CMR10 is 1.59).
+% \begin{macrocode}
+ caprat:=7/5; % ratio of capital height to minuscule height
+% \end{macrocode}
+%
+% \DescribeVariable{cap_jutstretch}
+% The CMR scaling for uppercase serifs wrt 17pt size.
+% \begin{macrocode}
+%<base7|base7b> cap_jutstretch:=1.3;
+%<base10|base10b> cap_jutstretch:=1.2;
+%<base17|base17b> cap_jutstretch:=1.0;
+% \end{macrocode}
+%
+% \DescribeVariable{cap_stemstretch}
+% The CMR scaling for uppercase stem width wrt 17pt size.
+% \begin{macrocode}
+%<base7|base7b> cap_stemstretch:=1.45;
+%<base10|base10b> cap_stemstretch:=1.31;
+%<base17|base17b> cap_stemstretch:=1.0;
+% \end{macrocode}
+%
+% \DescribeVariable{bfudge}
+% Letter width scaling for bold font wrt normal font. We don't really
+% need to change this for bold fonts as the letter width is in terms
+% of the pen, not the x-height.
+%
+% \begin{macrocode}
+%<base7|base10|base17> bfudge:=1.0;
+%<base7b|base10b|base17b> bfudge:=1.0; %% normally 1.2
+% \end{macrocode}
+%
+% \DescribeVariable{szfudge}
+% Width scaling wrt 17pt letter width.
+% \begin{macrocode}
+%<base7|base7b> szfudge:=1.18;
+%<base10|base10b> szfudge:=1.0;
+%<base17|base17b> szfudge:=1.0;
+% \end{macrocode}
+%
+% \DescribeVariable{hstretch}
+% Horizontal stretching factor wrt 17pt size letter width.
+% \begin{macrocode}
+ hstretch:=szfudge*bfudge;
+% \end{macrocode}
+%
+% \DescribeVariable{carol_height}
+% The x-height of the Carolingian gothic font.
+% \begin{macrocode}
+%<base7|base7b> carol_height#:=108.5/36pt#;
+%<base10|base10b> carol_height#:=155/36pt#;
+%<base17|base17b> carol_height#:=268/36pt#;
+% \end{macrocode}
+%
+% \DescribeVariable{vstretch}
+% The height of this font wrt the Carolingian font.
+% \begin{macrocode}
+ vstretch:=1.3;
+
+% \end{macrocode}
+%
+% \DescribeVariable{x_height}
+% The x-height of lower case letters. Scaled from the Carolingian font.
+% \begin{macrocode}
+ x_height#:=vstretch*carol_height#;
+% \end{macrocode}
+%
+% \DescribeVariable{u}
+% The unit width. The CMR values are used.
+% \begin{macrocode}
+%<base7> u#:=15.5/36pt#;
+%<base10> u#:=20/36pt#;
+%<base17> u#:=32.5/36pt#;
+%<base7b> u#:=17.9/36pt#;
+%<base10b> u#:=23/36pt#;
+%<base17b> u#:=37/36pt#;
+% \end{macrocode}
+%
+% \DescribeVariable{width_adj}
+% \DescribeVariable{serif_fit}
+% \DescribeVariable{cap_serif_fit}
+% \DescribeVariable{letter_fit}
+% The majority of these parameters and values are constant.
+% They are for fine adjustements of characters. The CM values are used.
+% \begin{macrocode}
+ width_adj#:=0pt#; % width adjustment for certain characters
+ serif_fit#:=0pt#; % extra sidebar near lowercase serifs
+%<base7|base7b> cap_serif_fit#:=3.5/36pt#; % extra sidebar near uppercase serifs
+%<base10|base10b> cap_serif_fit#:=5/36pt#; % extra sidebar near uppercase serifs
+%<base17|base17b> cap_serif_fit#:=8/36pt#; % extra sidebar near uppercase serifs
+%<base7|base7b> letter_fit#:=0pt#; % extra space added to all sidebars
+%<base10|base10b> letter_fit#:=0pt#; % extra space added to all sidebars
+%<base17|base17b> letter_fit#:=-0.1pt#; % extra space added to all sidebars
+% \end{macrocode}
+%
+% \DescribeVariable{sb}
+% A length used for adjusting the side bearings of characters. Normally
+% |1/2u| but want it less (1/2) for a Gothic.
+% \begin{macrocode}
+%<base7|base7b> sb#:=1/4u#; % unit for side bearings
+%<base10|base10b> sb#:=1/4u#; % unit for side bearings
+%<base17|base17b> sb#:=1/4u#; % unit for side bearings
+
+% \end{macrocode}
+%
+% \DescribeVariable{cap_sb}
+% A length used for adjusting the side bearings of uppercase characters.
+% \begin{macrocode}
+%<base7|base7b> cap_sb#:=2sb#; % unit for uppercase side bearings
+%<base10|base10b> cap_sb#:=2sb#; % unit for uppercase side bearings
+%<base17|base17b> cap_sb#:=2sb#; % unit for uppercase side bearings
+
+% \end{macrocode}
+%
+% \DescribeVariable{cap_height}
+% The height of capital letters.
+% \begin{macrocode}
+%<base7|base7b> cap_height#:=172.2/36pt#; % height of caps
+%<base10|base10b> cap_height#:=246/36pt#; % height of caps
+%<base17|base17b> cap_height#:=425/36pt#; % height of caps
+% \end{macrocode}
+%
+% \DescribeVariable{thickfudge}
+% The reciprocal of the font height in nib widths. Normal font height
+% is 5 nib widths and the bold font height is 4 nib widths.
+% \begin{macrocode}
+%<base7|base10|base17> thickfudge:=1/5;
+%<base7b|base10b|base17b> thickfudge:=1/4;
+% \end{macrocode}
+%
+% \DescribeVariable{thinfudge}
+% The nib sharpness.
+% \begin{macrocode}
+thinfudge:=1/6;
+% \end{macrocode}
+%
+% \DescribeVariable{thick}
+% The maximum nib width.
+% That is, the width of the thickest line that can be penned.
+% \begin{macrocode}
+thick#:=stemstretch*thickfudge*x_height#; % max pen breadth
+% \end{macrocode}
+%
+% \DescribeVariable{thin}
+% The nib thinness.
+% That is, the width of the thinnest line that can be penned.
+% \begin{macrocode}
+thin#:=thinfudge*thick#;
+% \end{macrocode}
+%
+% \DescribeVariable{pangle}
+% The pen angle (in degrees).
+% \begin{macrocode}
+pangle:=45; % pen angle
+% \end{macrocode}
+%
+% \DescribeVariable{stem_width}
+% The width of a vertical stem.
+% \begin{macrocode}
+stem_width#:= thick#*(cosd pangle);
+% \end{macrocode}
+%
+% \DescribeVariable{perpdec}
+% \DescribeVariable{angdec}
+% The perpendicular shift between pairs of thin decorative lines in capitals
+% is |perpdec| and between angled lines is |angdec|.
+% \begin{macrocode}
+perpdec#:= 3thin#;
+angdec#:= perpdec#/(cosd pangle);
+% \end{macrocode}
+%
+%
+% \DescribeVariable{ascratio}
+% The height of lower case ascenders wrt |x_height|.
+% \begin{macrocode}
+ ascratio:=5/4;
+% \end{macrocode}
+%
+% \DescribeVariable{asc_height}
+% The height of lower case ascenders.
+% \begin{macrocode}
+ asc_height#:=ascratio*x_height#;
+% \end{macrocode}
+%
+% \DescribeVariable{descratio}
+% The depth of lower case descenders wrt |x_height|.
+% \begin{macrocode}
+ descratio:=2/4;
+% \end{macrocode}
+%
+% \DescribeVariable{desc_depth}
+% The depth of lower case descenders.
+% \begin{macrocode}
+ desc_depth#:=descratio*x_height#;
+% \end{macrocode}
+%
+% \DescribeVariable{body_height}
+% The height of the tallest character.
+% \begin{macrocode}
+ body_height#:=caprat*asc_height#;
+% \end{macrocode}
+%
+% \DescribeVariable{body_depth}
+% The depth of the lowest character.
+% \begin{macrocode}
+ body_depth#:=caprat*desc_depth#;
+% \end{macrocode}
+%
+% \DescribeVariable{half_height}
+% Half the normal letter height.
+% \begin{macrocode}
+ half_height#:=1/2x_height#; % half the height of x height letters
+
+% \end{macrocode}
+%
+% \DescribeVariable{side}
+% We might be using a square for the character design.
+% \begin{macrocode}
+side#:=x_height#;
+% \end{macrocode}
+%
+% \DescribeVariable{rule_thickness}
+% Thickness of rules (in math symbols). The CMR values are used.
+% \begin{macrocode}
+%<base7|base7b> rule_thickness#:=.34pt#;
+%<base10|base10b> rule_thickness#:=.4pt#;
+%<base17|base17b> rule_thickness#:=.6pt#;
+
+% \end{macrocode}
+%
+% \DescribeVariable{jutfudge}
+% Controls the protrusion of serifs.
+% \begin{macrocode}
+%%%jutfudge:= 3/4;
+jutfudge:= 1/2;
+% \end{macrocode}
+%
+% \DescribeVariable{jut}
+% The lowercase serif protrusion.
+% \begin{macrocode}
+jut#:=jutstretch*jutfudge*thick#;
+% \end{macrocode}
+%
+% \DescribeVariable{srad}
+% |srad| with |0 < srad < 1| controls the serif radius.
+% \begin{macrocode}
+srad:=0.8; % was 0.5
+% \end{macrocode}
+%
+% \DescribeVariable{trijut}
+% The lowercase triangular serif protrusion.
+% \begin{macrocode}
+trijut#:=0.75jutstretch*thick#;
+% \end{macrocode}
+%
+% \DescribeVariable{clubjutfudge}
+% The fractional protusion of a club serif.
+% \begin{macrocode}
+clubjutfudge:=1/2;
+% \end{macrocode}
+%
+% \DescribeVariable{clubjut}
+% The lowercase club serif protrusion.
+% \begin{macrocode}
+clubjut#:=jutstretch*clubjutfudge*thick#;
+% \end{macrocode}
+%
+% \DescribeVariable{wided}
+% \DescribeVariable{widedmin}
+% Default juts of wide (touching) diamonds.
+% \begin{macrocode}
+wided:= 0.75;
+widedmin := 1.05 - wided;
+% \end{macrocode}
+%
+% \DescribeVariable{narrowd}
+% \DescribeVariable{narrowdmin}
+% Default juts of narrow (non-touching) diamonds.
+% \begin{macrocode}
+narrowd:= 0.5;
+narrowdmin := 0.7 - narrowd;
+% \end{macrocode}
+%
+% \DescribeVariable{diawd}
+% \DescribeVariable{diang}
+% Default width and angle of diamonds.
+% \begin{macrocode}
+diawd := 1.0;
+diang := 30;
+% \end{macrocode}
+%
+% \DescribeVariable{fig_height}
+% The height of numerals. Make these midway between normal and capital
+% letters.
+% \begin{macrocode}
+ fig_height#:=(0.5[1,caprat])*x_height#;
+% \end{macrocode}
+%
+% \DescribeVariable{fig_width}
+% The width of numerals. All numerals are the same width (roughly, an `o').
+% \begin{macrocode}
+ fig_width#:=hstretch*(4+wided+widedmin)*stem_width#;
+% \end{macrocode}
+%
+%
+%
+% \DescribeVariable{o}
+% Amount of overshoot for curves (as in an `o'). Use CMR values.
+% \begin{macrocode}
+%<base7|base7b> o#:=5/36pt#;
+%<base10|base10b> o#:=8/36pt#;
+%<base17|base17b> o#:=10/36pt#;
+
+% \end{macrocode}
+%
+% \DescribeVariable{slant}
+% |slant| is the amount the font slopes to the right. \\
+% 5 degrees = 9/100; 10 degrees = 11/50.
+% \begin{macrocode}
+slant:=0; % tilt ratio $(\Delta x/\Delta y)$
+%%%%%%slant:= sind 10/cosd 10; %% 10 degree slant
+
+% \end{macrocode}
+%
+% \DescribeVariable{monospace}
+% We are generating a variable-width font.
+% \begin{macrocode}
+monospace:=false; % should all characters have the same width?
+
+% \end{macrocode}
+%
+% \DescribeVariable{dot_size}
+% The size of (punctuation) dots.
+% \begin{macrocode}
+dot_size#:=5thin#; % size of dots
+% \end{macrocode}
+%
+% \DescribeVariable{comma_width}
+% The horizontal width of a comma.
+% \begin{macrocode}
+comma_width#:=5/4dot_size#;
+
+% \end{macrocode}
+%
+% Finally, call the driver file for the font.
+% \begin{macrocode}
+generate tgothtitle %% switch to the driver file
+
+% \end{macrocode}
+%
+% The end of this code section.
+% \begin{macrocode}
+%</base7|base10|base17|base7b|base10b|base17b>
+% \end{macrocode}
+%
+%
+% \subsection{The driver file}
+%
+% The driver file sets up the font parameters and also contains
+% the macros used in the definition of the characters.
+%
+% \begin{macrocode}
+%<*mfd>
+% This is TGOTHTITLE.MF for the Gothic Textura Quadrata font.
+% This makes a short font.
+% This file also contains special macros universally needed in the
+% font but either not in the cmbase.mf file or modifications of these.
+%
+% \end{macrocode}
+%
+% \begin{routine}{makebox}
+% This is a new version of the \Lpack{cmbase.mf} |makebox| macro.
+% Essentially, as we are only generating a single case font, we don't
+% need all the horizontals for the CMR characters.
+%
+% \begin{macrocode}
+% A new version of cmbase.mf makebox macro
+def makebox(text rule) =
+ for y=0,half_height,cap_height,body_height,x_height,-desc_depth,-body_depth:
+ rule((l,y)t_,(r,y)t_); endfor % horizontals
+ for x=l,r: rule((x,-body_depth)t_,(x,body_height)t_); endfor % verticals
+ for x=u*(1+floor(1/u)) step u until r-1:
+ rule((x,-body_depth)t_,(x,body_height)t_); endfor % more verticals
+ if charic<>0:
+ rule((r+charic*pt,h.o_),(r+charic*pt,.5h.o_)); fi % italic correction
+enddef;
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{proofpcbb}
+% The macro |proofpcbb(S, xoff, yoff)| draws crosses at the corners of the
+% square, and at the bottom and top midpoints, where the point |zS| is at
+% position |(xoff,yoff)| in the square.
+% \begin{macrocode}
+
+% A macro to delineate a letter's bounding square in proof mode.
+% Point z$ is at (xoff,yoff) in the bounding square.
+def proofpcbb(suffix $)(expr xoff, yoff) =
+if proofing > 0:
+ x$bl = x$ - xoff; y$bl = y$ - yoff; % Bottom Left Hand Corner
+ z$br = (x$bl+side, y$bl); % BRHC
+ z$tr = (x$bl+side, y$bl+side); % TRHC
+ z$tl = (x$bl, y$bl+side); % TLHC
+ z$bc = 1/2[z$bl,z$br]; z$tc = 1/2[z$tl,z$tr]; % horizontal mid points
+ pair hc, vc;
+ hc = (2u,0); vc = (0,2u);
+ pickup pensquare scaled 2;
+ for s = z$bl, z$br, z$tr, z$tl, z$bc, z$tc:
+ draw s-hc--s+hc;
+ draw s-vc--s+vc;
+ endfor
+fi
+enddef;
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+%
+% \begin{routine}{tgothic_font_setup}
+% This macro contains the set up for the \thisfont{} fonts.
+% \begin{macrocode}
+
+def tgothic_font_setup= % contains special stuff for tgothic fonts
+ define_pixels(side,half_height,carol_height,comma_width);
+ define_pixels(u,dot_size,letter_size,cap_height,width_adj,serif_fit,
+ cap_serif_fit,jut,clubjut,cap_jut,trijut);
+ define_pixels(fig_width);
+ define_whole_pixels(letter_fit,sb,cap_sb);
+ define_whole_vertical_pixels(body_height,asc_height,cap_height,x_height,
+ desc_depth,body_depth,fig_height);
+ define_corrected_pixels(o);
+ define_blacker_pixels(thick,thin);
+ define_pixels(stem_width);
+ define_pixels(perpdec,angdec);
+ let adjust_fit = normal_adjust_fit;
+% \end{macrocode}
+% \DescribeVariable{stylus}
+% The pen for drawing the thinnest lines is |stylus|.
+% \begin{macrocode}
+ pickup pencircle scaled thin;
+ stylus:=savepen;
+% \end{macrocode}
+% \DescribeVariable{thickstylus}
+% The pen for drawing lines a bit thicker than the thinnest is |thickstylus|.
+% \begin{macrocode}
+ pickup pencircle scaled (1.5thin);
+ thickstylus:=savepen;
+% \end{macrocode}
+% \DescribeVariable{quill}
+% The normal calligraphic pen is |quill|.
+% \begin{macrocode}
+ pickup pencircle xscaled thick yscaled thin rotated pangle;
+ quill:=savepen;
+
+% \end{macrocode}
+%
+% \DescribeVariable{threequarterquill}
+% A pen with 3/4 of the width as quill (but with the same thinness).
+% \begin{macrocode}
+ pickup pencircle xscaled 3/4thick yscaled thin rotated pangle;
+ threequarterquill := savepen;
+
+% \end{macrocode}
+%
+% \DescribeVariable{halfquill}
+% A pen with 1/2 of the width as quill (but with the same thinness).
+% \begin{macrocode}
+ pickup pencircle xscaled 1/2thick yscaled thin rotated pangle;
+ halfquill := savepen;
+
+% \end{macrocode}
+%
+% \DescribeVariable{quarterquill}
+% A pen with 1/4 of the width as quill (but with the same thinness).
+% \begin{macrocode}
+ pickup pencircle xscaled 1/4thick yscaled thin rotated pangle;
+ quarterquill := savepen;
+
+% \end{macrocode}
+%
+%
+% \begin{macrocode}
+ numeric pcshiftx#; % x value of LHS of box wrt origin of char box
+ define_pixels(pcshiftx);
+ numeric sqxside#; % x size of the square
+ numeric sqyside#; % y size of the square
+ define_pixels(sqxside,sqyside);
+
+enddef; % end of tgothic_font_setup
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \DescribeVariable{ductus}
+% A boolean to control drawing the ductus (TRUE) or the full letter (FALSE).
+% \begin{macrocode}
+boolean ductus;
+ductus:=false;
+% \end{macrocode}
+%
+% \DescribeVariable{qhor}
+% \DescribeVariable{qvert}
+% The cosine and sine of the pen angle.
+% \begin{macrocode}
+numeric qhor, qvert;
+qhor:=cosd(pangle); qvert:=sind(pangle);
+% \end{macrocode}
+%
+% \DescribeVariable{pdir}
+% The vector corresponding to the pen angle.
+% \begin{macrocode}
+pair pdir; pdir=dir(pangle);
+% \end{macrocode}
+%
+% \DescribeVariable{ppdir}
+% The vector that is perpendicular (anticlockwise) to the pen angle.
+% \begin{macrocode}
+pair ppdir; ppdir=dir(pangle+90);
+% \end{macrocode}
+%
+% \begin{routine}{draw_upforkstem}
+% A macro to draw a vertical stem with a fork at the top.
+% |draw_upforkstem(1,2)| uses the current pen to draw a vertical line, whose absolute
+% top and bottom are at |z1| and |z2|. The top (|z1|) has a wedge shaped slit.
+% \begin{macrocode}
+
+def draw_upforkstem(suffix $, $$)=
+ pen oldpen; oldpen:=currentpen;
+ x$a=x$; top y$a = bot y$; % top of straight stem
+ draw z$a--z$$; % straight part
+ z$b = (rt x$, y$); z$c = (x$b, top y$a);
+ z$d = (lft x$, bot y$a); z$e = (x$d, y$);
+ pickup stylus;
+ rt x$cc = x$c; y$cc = y$c;
+ lft x$bb = x$b; y$bb = y$b;
+ lft x$dd = x$d; y$dd = y$d;
+ rt x$ee = x$e; y$ee = y$e;
+ filldraw z$a--z$bb..z$cc--cycle; % fork
+ filldraw z$a--z$dd..z$ee--cycle;
+ pickup oldpen;
+ labels($a,$b,$c,$d,$e);
+enddef; % end of draw_upforkstem
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_downforkstem}
+% A macro to draw a vertical stem with a fork at the bottom.
+% |draw_downforkstem(1,2)| uses the current pen to draw a vertical line, whose absolute
+% top and bottom are at |z1| and |z2|. The bottom (|z2|) has a wedge shaped slit.
+% \begin{macrocode}
+
+def draw_downforkstem(suffix $, $$)=
+ pen oldpen; oldpen:=currentpen;
+ x$$a=x$$; bot y$$a = top y$$; % bottom of straight stem
+ draw z$--z$$a; % straight part
+ z$$b = (rt x$$, y$$); z$$c = (x$$b, top y$$a);
+ z$$d = (lft x$$, bot y$$a); z$$e = (x$$d, y$$);
+ pickup stylus;
+ rt x$$cc = x$$c; y$$cc = y$$c;
+ lft x$$bb = x$$b; y$$bb = y$$b;
+ lft x$$dd = x$$d; y$$dd = y$$d;
+ rt x$$ee = x$$e; y$$ee = y$$e;
+ filldraw z$$a--z$$bb..z$$cc--cycle; % fork
+ filldraw z$$a--z$$dd..z$$ee--cycle;
+ pickup oldpen;
+ labels($$a,$$b,$$c,$$d,$$e);
+enddef; % end of draw_downforkstem
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{draw_upcurlstem}
+% A macro to draw a vertical stem with a curl to the left at the top.
+% |draw_upcurlstem(1,2)| uses the current pen to draw a vertical line, whose absolute
+% top and bottom are at |z1| and |z2|. The top (|z1|) has a fancy curl to the left,
+% jutting out 3 stem widths.
+% \begin{macrocode}
+
+def draw_upcurlstem(suffix $, $$)=
+ pen oldpen; oldpen:=currentpen;
+ path curlp[]; numeric curln[];
+ x$a=x$; top y$a = y$; % top of straight stem
+ draw z$a--z$$; % straight part
+ curln1 := rt x$a - lft x$a; % stem width
+ x$b = x$a - 4/2curln1; y$b = y$a; % left jut
+ curlp1 := z$a{-pdir}..{left}z$b;
+ draw curlp1;
+
+ x$c = x$a-3curln1; top y$c = bot y$a-1/2curln1;
+ x$f = x$b; y$f = 1/3[y$c,y$b];
+ x$tb = rt x$b; y$tb = top y$b;
+ x$bb = lft x$b; y$bb = bot y$b;
+ curlp2 := z$tb--z$bb..{down}z$c..{ppdir}z$f;
+ pickup stylus;
+ draw curlp2;
+ pickup oldpen;
+ labels($a,$b,$c,$d,$e,$f);
+enddef; % end of draw_upcurlstem
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_updiamondstem}
+% A macro to draw a vertical stem with a diamond at the top.
+% |draw_updiamondstem(1,2,fr,minfr,wd,ang)| uses the quill pen to draw a vertical line,
+% whose absolute
+% top and bottom are at |z1| and |z2|. The top (|z1|) has a leftward diamond, whose
+% left jut is |fr| times the width of the stem, right jut is |minfr*stem_width|, width
+% is |wd*stem_width| and angle above the horizontal is |ang|.
+% \begin{macrocode}
+
+def draw_updiamondstem(suffix $, $$)(expr fr, minfr, wd, phi)=
+ pen oldpen; oldpen:=currentpen;
+ numeric sj; sj := fr*stem_width; % jut distance
+ numeric sjr; sjr := minfr*stem_width; % right jut distance
+ numeric jw; jw := wd*stem_width; % jut width
+ %% $b is bottom left of jut, on LHS of stem
+ %% $c is leftmost point on jut
+ %% $d is topmost point on jut
+ %% $g is topmost point on stem
+ %% $e is on exprapolation of line from $d through $g
+ %% i.e., the rightmost point on jut
+ %% $f is on RHS of stem
+ pickup quill;
+ x$b = lft x$;
+ x$c = x$b - sj; y$c = y$ - jw*(cosd phi); % $c done
+ y$b = y$c - sj*(sind phi); % $b done
+ x$d = x$c + jw*(sind phi); y$d = y$; % $d done
+ x$g = x$f = rt x$;
+ y$g = y$ - (x$g-x$d)*(sind phi)/(cosd phi); % $g done
+ x$a = x$; top y$a = y$g; % $a done
+ x$e = x$g + sjr; z$e = whatever[z$d,z$g]; % $e done
+ z$f-z$e = whatever*(z$c-z$d); % $f done
+ x$h = x$b; y$h = bot y$a;
+ draw z$a--z$$; % straight part
+ pickup stylus;
+ lft x$cc = x$c; y$cc = y$c;
+ x$dd = x$d; top y$dd = y$d;
+ rt x$ee = x$e; bot y$ee=y$e;
+ filldraw z$b--z$cc--z$dd--z$ee--z$f--cycle; % diamond
+ if y$b > y$h:
+ lft x$hh = x$h; y$hh=y$h;
+ filldraw z$b--z$hh--z$g--cycle;
+ fi
+ pickup oldpen;
+ labels($a,$b,$c,$d,$e,$f);
+enddef; % end of draw_updiamondstem
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{draw_downdiamondstem}
+% A macro to draw a vertical stem with a diamond at the bottom.
+% |draw_downdiamondstem(1,2,fr,minfr,wd,ang)| uses the quill pen to draw a vertical line,
+% whose absolute
+% top and bottom are at |z1| and |z2|. The bottom (|z2|) has a rightward diamond, whose
+% right jut is |fr| times the width of the stem, left jut is |minfr*stem_width|,
+% width is |wd*stem_width| and is at |ang| degrees below the horizontal.
+% \begin{macrocode}
+
+def draw_downdiamondstem(suffix $, $$)(expr fr, minfr, wd, phi)=
+ pen oldpen; oldpen:=currentpen;
+ numeric sj; sj := fr*stem_width; % (left) jut distance
+ numeric sjr; sjr := minfr*stem_width;; % right jut distance
+ numeric jw; jw := wd*stem_width; % jut width
+ %% $$b is top right of jut, on RHS of stem
+ %% $$c is rightmost point on jut
+ %% $$d is bottommost point on jut
+ %% $$g is bottommost point on stem
+ %% $$e is on exprapolation of line from $d through $g
+ %% i.e., the leftmost point on jut
+ %% $$f is on LHS of stem
+ pickup quill;
+ x$$b = rt x$$;
+ x$$c = x$$b + sj; y$$c = y$$ + jw*(cosd phi); % $$c done
+ y$$b = y$$c + sj*(sind phi); % $$b done
+ x$$d = x$$c - jw*(sind phi); y$$d = y$$; % $$d done
+ x$$g = x$$f = lft x$$;
+ y$$g = y$$ + (x$$d-x$$g)*(sind phi)/(cosd phi); % $$g done
+ x$$a = x$$; bot y$$a = y$$g; % $$a done
+ x$$e = x$$g - sjr; z$$e = whatever[z$$d,z$$g]; % $$e done
+ z$$f-z$$e = whatever*(z$$c-z$$d); % $$f done
+ x$$h = x$$b; y$$h = top y$$a;
+ draw z$--z$$a; % straight part
+ pickup stylus;
+ rt x$$cc = x$$c; y$$cc=y$$c;
+ x$$dd = x$$d; bot y$$dd = y$$d;
+ lft x$$ee = x$$e; top y$$ee = y$$e;
+ filldraw z$$b--z$$cc--z$$dd--z$$ee--z$$f--cycle; % diamond
+ if y$$b < y$$h:
+ rt x$$hh = x$$h; y$$hh=y$$h;
+ filldraw z$$b--z$$hh--z$$g--cycle;
+ fi
+ pickup oldpen;
+ labels($$a,$$b,$$c,$$d,$$e,$$f);
+enddef; % end of draw_downdiamondstem
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_serif}
+% A macro to draw a serif. |draw_serif(1,2,f)| uses the current pen to
+% draw a serif of extent |jut| at |z1| to the left of the line from |z2|
+% to |z1|. The
+% radius is controlled by |f|, where $0<f<1$. The `stem' from |z1| to |z2|
+% starts at the point |z1a|.
+% \begin{macrocode}
+
+def draw_serif(suffix $, $$)(expr fr)=
+ numeric beta, ajut, bjut;
+% \end{macrocode}
+% |fr| and |beta| control the serif radius.
+% \begin{macrocode}
+ beta=1-fr;
+ ajut=fr*jut; bjut=beta*jut;
+% \end{macrocode}
+% The points |$c|, |$b| and |$a| define the serif. For a top (bottom) serif
+% the leftmost (rightmost) point is
+% |$c| and |$a| is on the stem. |$a| is moved from |$| towards |$$| by the
+% distance |ajut|, and the other points are calculated from this. If the stem
+% is not vertical, then we have to rotate |$b| to match.
+% \begin{macrocode}
+ pair vec[]; vec1=unitvector(z$$-z$);
+ vec2=ajut*vec1;
+ z$a=z$ shifted vec2;
+ z$b=z$a rotatedaround (z$,-90);
+ boolean top_serif;
+ if y$>y$$:
+ top_serif := true;
+ z$c=z$b shifted (-bjut*pdir);
+ else:
+ top_serif:=false;
+ z$c=z$b shifted (bjut*pdir);
+ fi
+% \end{macrocode}
+% Draw the parts, and finish off.
+% \begin{macrocode}
+ if top_serif:
+ draw z$c--z$b{pdir}..{z$$-z$}z$a; % the serif
+ else:
+ draw z$c--z$b{-pdir}..{z$$-z$}z$a;
+ fi
+ labels($a,$b,$c);
+enddef; % end of draw_serif
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_roundserif}
+% The |draw_serif| routine can leave a bump at the end of the stem.
+% The |draw_roundserif| routine, which takes the same arguments,
+% is meant to eliminate the bump.
+% \begin{macrocode}
+
+def draw_roundserif(suffix $, $$)(expr fr)=
+ draw_serif($, $$, fr);
+ undraw z$--z$a;
+enddef; % end of draw_roundserif
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{draw_flatserif}
+% A macro to draw a serif. |draw_serif(1,2,f)| uses the current pen to
+% draw a serif of extent |jut| at |z1| to the left of the line from |z2|
+% to |z1|. The
+% radius is controlled by |f|, where $0<f<1$. The `stem' from |z1| to |z2|
+% starts at the point |z1a|. This produces a serif like |draw_serif| except
+% that one side of the seerif is flat.
+% \begin{macrocode}
+
+def draw_flatserif(suffix $, $$)(expr fr)=
+ numeric beta, ajut, bjut;
+% \end{macrocode}
+% |fr| and |beta| control the serif radius.
+% \begin{macrocode}
+ beta=1-fr;
+ ajut=fr*jut; bjut=beta*jut;
+% \end{macrocode}
+% The points |$c|, |$b| and |$a| define the serif. For a top (bottom) serif
+% the leftmost (rightmost) point is
+% |$c| and |$a| is on the stem. |$a| is moved from |$| towards |$$| by the
+% distance |ajut|, and the other points are calculated from this. If the stem
+% is not vertical, then we have to rotate |$b| to match.
+% \begin{macrocode}
+ pair vec[]; vec1=unitvector(z$$-z$);
+ vec2=ajut*vec1;
+ z$a=z$ shifted vec2;
+%%% z$b=z$a rotatedaround (z$,-90);
+ boolean top_serif;
+ if y$>y$$:
+ top_serif := true;
+ z$c=z$ shifted (-jut*pdir);
+ else:
+ top_serif:=false;
+ z$c=z$ shifted (jut*pdir);
+ fi
+ z$b = fr[z$,z$c];
+% \end{macrocode}
+% Draw the parts, and finish off.
+% \begin{macrocode}
+ draw z$a--z$;
+ if top_serif:
+ draw z$c--z$b{pdir}..{z$$-z$}z$a; % the serif
+ else:
+ draw z$c--z$b{-pdir}..{z$$-z$}z$a;
+ fi
+ labels($a,$b,$c);
+enddef; % end of draw_flatserif
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{draw_clubserif}
+% A macro to draw a clubbed serif. |draw_clubserif(1,2,f)| uses the current
+% pen to
+% draw a clubbed serif of extent |clubjut| at |z1| to the left of the line
+% from |z2|
+% to |z1|. The serif matches |z1| like the flatserif does and ends at the
+% point |f[z1,z2]|.
+% \begin{macrocode}
+
+def draw_clubserif(suffix $, $$)(expr fr)=
+ numeric beta, ajut, bjut;
+% \end{macrocode}
+% |fr| controls the length of the serif.
+% \begin{macrocode}
+%% beta=1-fr;
+ ajut=clubjut; bjut=beta*jut;
+% \end{macrocode}
+% The points |$c|, |$b| and |$a| define the serif. For a top (bottom) serif
+% the leftmost (rightmost) point is
+% |$c| and |$a| is on the stem, |fr| between |$| and |$$|.
+% \begin{macrocode}
+ pair vec[]; vec1=unitvector(z$$-z$);
+%% vec2=ajut*vec1;
+%% z$a=z$ shifted vec2;
+ boolean top_serif;
+ if y$>y$$:
+ top_serif := true;
+ z$c=z$ shifted (-clubjut*pdir);
+ else:
+ top_serif:=false;
+ z$c=z$ shifted (clubjut*pdir);
+ fi
+ z$a = fr[z$,z$$];
+% \end{macrocode}
+% Draw the parts, and finish off.
+% \begin{macrocode}
+ draw z$c..z$a{vec1};
+ labels($a,$b,$c);
+enddef; % end of draw_clubserif
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+%
+% \begin{routine}{draw_triserif}
+% A macro to draw a triangular top left serif.
+% |draw_triserif(1,tj)| draws a serif at |z1| with its leftmost x
+% value at |x1-tj|, where it is assumed that the
+% top point on the stem is at |z1| and the stem was drawn with |quill|.
+% \begin{macrocode}
+
+def draw_triserif(suffix $)(expr tj)=
+ pen oldpen; oldpen:=currentpen;
+ pickup quill;
+ x$ts1'=lft x$; y$ts1'=bot y$;
+ pickup stylus;
+ lft x$ts1=x$ts1'; bot y$ts1=y$ts1';
+ x$ts2=x$ts1-tj; z$ts2=whatever[z$,z$ts1];
+ x$ts3=x$ts1; y$ts3=y$ts2-tj;
+ pickup stylus;
+%% filldraw z$ts1--z$ts2--z$ts3--cycle;
+ filldraw z$--z$ts2--z$ts3--cycle;
+ pickup oldpen;
+ labels($ts1,$ts2,$ts3);
+enddef; % end of draw_triserif
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_istem}
+% A macro to draw the shape of an i. |draw_istem(1,2,f)| draws a stem whose
+% top is at |z1| and bottom at |z2|. It draws with the current pen and the serifs
+% are of extent |jut|. There is a top left and bottom right serif.
+% The serif radius is controlled by |f|, with $0<f<1$.
+% \begin{macrocode}
+
+def draw_istem(suffix $, $$)(expr fr)=
+ draw_serif($, $$, fr); % top serif
+ draw_serif($$, $, fr); % bottom serif
+ draw z$a--z$$a; % the stem
+enddef; % end of draw_istem
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_tstem}
+% A macro to draw the shape of the stem of a `t'. |draw_tstem(1,2,f)| draws a
+% stem whose
+% top is at |z1| and bottom at |z2| with a right serif at |z2|. The radius
+% is controlled by |f|, with $0 < f < 1$.
+% It draws with the current pen and the serif is of extent |jut|.
+% NOTE: for the TGOTH font, just the stem is drawn --- no serif!
+% \begin{macrocode}
+
+def draw_tstem(suffix $, $$)(expr fr)=
+%% draw_serif($$, $, fr); % the serif
+%% draw z$--z$$a; % the stem
+ draw z$--z$$;
+enddef; % end of draw_tstem
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_tlserif}
+% A macro to draw a top left serif. |draw_tlserif(1,2,f)| draws a serif on top
+% of a stem whose absolute
+% top is at |z1| and bottom at |z2|. It draws with the current pen and the serif
+% is of extent |jut|. It also draws the stem to the point |z2|. The serif
+% radius is controlled by |f|, with $0<f<1$.
+% \begin{macrocode}
+
+def draw_tlserif(suffix $, $$)(expr fr)=
+ draw_serif($, $$, fr); % the serif
+ draw z$a--z$$; % the stem
+enddef; % end of draw_tlserif
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{draw_flick}
+% A macro to draw a flick (like an eyebrow).
+% |draw_flick(1,rise,fall,fjut)| draws a stroke starting at |z1| rising up by
+% |rise| and falling down by |fall| wrt |z1|. The overall stroke distance is
+% |fjut| to the right of |z1|. It is drawn with the current pen.
+% \begin{macrocode}
+
+def draw_flick(suffix $)(expr rise, fall, fjut)=
+% \end{macrocode}
+% The points |z$a| and |z$b|, together with |z$| make up three points on the
+% ductus.
+% \begin{macrocode}
+ rt x$b = x1+fjut; top y$b=y$-fall;
+ x$a=0.5[x$,x$b]; top y$a=y$+rise;
+% \end{macrocode}
+% Draw the part, and finish off.
+% \begin{macrocode}
+ draw z$..z$a..z$b;
+ labels($a,$b);
+enddef; % end of draw_flick
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{draw_wave}
+% A macro to draw a (horizontal) stroke with a flick at each end
+% (down at the left and up at the right). |draw_wave(1,2,f)| uses the current
+% pen to draw from |z1wl| to |z1wr|, where |x1wl=x1|, |y1wl=y1-f|, and
+% |x1wr=x2|, |y1wr=y2+f|, with |z1| assumed to be at the left of |z2|.
+% \begin{macrocode}
+
+def draw_wave(suffix $,$$)(expr f)=
+ x$wl=x$; y$wl=y$-f;
+ x$wr=x$$; y$wr=y$$+f;
+ z$wc=0.5[z$wl,z$wr];
+ draw z$wl{pdir}..z$wc{right}..{pdir}z$wr;
+ labels($wl,$wc,$wr);
+enddef; % end of draw_wave
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_tail}
+% A macro to draw a tail at the bottom of a (vertical) stem.
+% |draw_tail(1,fjut)| draws a tail at the bottom of the stem which ends at |z1|.
+% The depth is controlled by the |desc_depth| value and the jut by |fjut|.
+% \begin{macrocode}
+
+def draw_tail(suffix $)(expr fj)=
+ pen oldpen; oldpen:=currentpen;
+ pickup quill;
+ x$tl' = lft x$; y$tl=bot y$;
+ pickup stylus;
+ lft x$tl=x$tl';
+ x$tb=x$tl-fj; bot y$tb=y$tl-1/2desc_depth;
+ filldraw z${down}..{-pdir}z$tb & z$tb{pdir}..{up}z$tl--cycle;
+ pickup oldpen;
+ labels($tb,$tl);
+enddef; % end of draw_tail
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_triangle}
+% A macro to draw a downward pointing equilateral triangle.
+% |draw_triangle(1,sz)| draws a triangle of side length |sz| with |z1| in the middle
+% of the base.
+% \begin{macrocode}
+
+def draw_triangle(suffix $)(expr sz)=
+ pen oldpen; oldpen:=currentpen;
+ pickup stylus;
+ x$t1=x$-sz/2; x$t3=x$+sz/2;
+ y$t1=y$t3=y$;
+ x$t2=x$; y$t2=y$-0.9sz; % approx sqrt(3)/2
+ filldraw z$t1--z$t2--z$t3--cycle;
+ pickup oldpen;
+ labels($t1,$t2,$t3);
+enddef; % end of draw_triangle
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_utriangle}
+% A macro to draw an upward pointing equilateral triangle.
+% |draw_utriangle(1,sz)| draws a triangle of side length |sz| with |z1| in the middle
+% of the base.
+% \begin{macrocode}
+
+def draw_utriangle(suffix $)(expr sz)=
+ pen oldpen; oldpen:=currentpen;
+ pickup stylus;
+ x$t1=x$-sz/2; x$t3=x$+sz/2;
+ y$t1=y$t3=y$;
+ x$t2=x$; y$t2=y$+0.9sz; % approx sqrt(3)/2
+ filldraw z$t1--z$t2--z$t3--cycle;
+ pickup oldpen;
+ labels($t1,$t2,$t3);
+enddef; % end of draw_utriangle
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_rtriangle}
+% A macro to draw a downward pointing right angled triangle.
+% |draw_rtriangle(1,sz)| draws a triangle of side length |sz| with |z1| at the
+% right (where the right angle is).
+% \begin{macrocode}
+
+def draw_rtriangle(suffix $)(expr sz)=
+ pen oldpen; oldpen:=currentpen;
+ pickup stylus;
+ x$t1=x$-sz; rt x$t3=x$;
+ y$t1=y$t3=y$;
+ x$t2=x$t3; y$t2=y$-sz;
+ filldraw z$t1--z$t2--z$t3--cycle;
+ pickup oldpen;
+ labels($t1,$t2,$t3);
+enddef; % end of draw_rtriangle
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_rutriangle}
+% A macro to draw an upward pointing right angled triangle.
+% |draw_rutriangle(1,sz)| draws a triangle of side length |sz| with |z1| at the
+% right (where the right angle is).
+% \begin{macrocode}
+
+def draw_rutriangle(suffix $)(expr sz)=
+ pen oldpen; oldpen:=currentpen;
+ pickup stylus;
+ x$t1=x$-sz; rt x$t3=x$;
+ y$t1=y$t3=y$;
+ x$t2=x$t3; y$t2=y$+sz;
+ filldraw z$t1--z$t2--z$t3--cycle;
+ pickup oldpen;
+ labels($t1,$t2,$t3);
+enddef; % end of draw_rutriangle
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_fork}
+% A macro to draw a forked line.
+% |draw_fork(1,2,sz)| draws a graduated line from |z1| to |z2| with a forked
+% end of size |sz|.
+% \begin{macrocode}
+
+def draw_fork(suffix $, $$)(expr sz)=
+ pen oldpen; oldpen:=currentpen;
+ pickup quill;
+ x$f1'=lft x$; y$f1'=bot y$;
+ x$f3'=rt x$; y$f3'=top y$;
+ pickup stylus;
+ lft x$f1=x$f1'; bot y$f1=y$f1';
+ rt x$f3=x$f3'; y$f3-y$=2*(y$-y$f1);
+ rt x$f2=x$$-sz; bot y$f2=y$$;
+ rt x$f4= rt x$f5=x$$;
+ bot y$f5=y$$-sz; top y$f4=y$$+1/2sz;
+ filldraw z$f1--z$f2--z$f3--cycle; % the line
+ draw z$f2{right}..z$f4; % upper fork
+ draw z$f2{right}..z$f5; % lower fork
+ pickup oldpen;
+ labels($f1,$f2,$f3,$f4,$f5);
+enddef; % end of draw_fork
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_urswish}
+% A macro to draw a line up and to the right with an under curl at the end.
+% |draw_urswish(1,2)| draws from |z1| towards |z2|, which is the max upper right
+% of a bounding box, where the curl is.
+% \begin{macrocode}
+
+def draw_urswish(suffix $, $$)=
+ pen oldpen; oldpen:=currentpen;
+ pickup quill;
+ rt x$$s1=x$$-thick; top y$$s1=y$$;
+ rt x$$s2=x$$;
+%% x$$s3=x$$-thick;
+ lft x$$s3=x$$s1;
+ bot y$$s3=y$$-thick; y$$s2=0.5[y$$s1,y$$s3];
+%% draw z$---z$$s1{right}..z$$s2{down}..{-pdir}z$$s3;
+ draw z$..z$$s1{pdir}..z$$s2{down};
+ labels($$s1,$$s2,$$s3);
+enddef; % end of draw_urswish
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{bowl_stem}
+% Calculate where a bowl should meet a stem so that the pen is moving in the
+% pen direction.
+% |bowl_stem(1,2)| calculates the point |z1i|, where |z1| is on the bowl and
+% there is a vertical line at |x2|.
+%
+% \begin{macrocode}
+
+def bowl_stem(suffix $, $$)=
+ x$'=0.5[x$,x$$]; y$'=y$; % the mid-point
+ z$''=z$' shifted (thick*pdir);
+ x$i=x$$; z$i=whatever[z$',z$''];
+ labels($',$i);
+enddef; % end of bowl_stem
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_clubbase}
+% Draw a clubbed bottom of a vertical stem for the TGOTH font.
+% |draw_clubbase(1, 2, st, left, right)| draws from |st[z2,z1]| to |z2|.
+% At |z2| the pen
+% is shifted |left| fraction of the pen width and |right| fraction of the
+% pen width, both in the direction of the pen angle. Pen draws smoothly the
+% path |z1|, |left|, |right|, |z1|.
+% \begin{macrocode}
+
+% draw clubbed bottom of vertical stem for TGOTH font.
+def draw_clubbase(suffix $, $$)(expr st, lft, rt)=
+ z$$l = z$$ shifted (lft*thick*(-pdir));
+ z$$r = z$$ shifted (rt*thick*(pdir));
+ z$$t = st[z$$,z$];
+ draw z$$t{z$$-z$}..z$$l--z$$r..{z$-z$$}z$$t;
+ labels($$t,$$l,$$r);
+enddef; % end of draw_clubbase
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_pdot}
+% A macro to draw a period dot.
+% |draw_pdot(1,sz)| uses |stylus| to draw a dot centered at |z1| of overall size |sz|.
+% \begin{macrocode}
+
+def draw_pdot(suffix $)(expr sz)=
+% \end{macrocode}
+% Draw a square rotated 45 degrees.
+% \begin{macrocode}
+ z$s = z$ shifted (0.5sz*left);
+ z$t = z$ shifted (0.5sz*up);
+ z$u = z$s shifted (sz*right);
+ z$v = z$t shifted (sz*down);
+ pickup stylus;
+ filldraw z$s--z$t--z$u--z$v--cycle;
+ labels($s,$t,$u,$v);
+enddef; % end of draw_pdot
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_pcomma}
+% A macro to draw a period comma.
+% |draw_pcomma(1,t,w)| draws a comma placed at |z1| (the top), line width is |t|
+% and bottom of line is |w| horizontally from |z1|. The pen is |stylus|.
+% \begin{macrocode}
+
+def draw_pcomma(suffix $)(expr sz, ar)=
+% \end{macrocode}
+% Draw a line of at |z$| of width |sz| sloping back and down
+% for a total width of |ar| and deptrh of |2ar|.
+% \begin{macrocode}
+ z$s = z$ shifted (0.5sz*left);
+ z$t = z$s shifted (sz*right);
+ x$v=x$s-ar; y$v=y$s-2ar;
+ z$u = z$v shifted (sz*right);
+ z$sv = (x$s, 1/3[y$s,y$v]);
+ z$tu = (x$t, y$sv);
+ z$uv = 1/3[z$u,z$v];
+ z$vu = 1/3[z$v,z$u];
+ pickup stylus;
+%% filldraw z$s--z$t--z$u--z$v--cycle;
+ filldraw z$s--z$t--z$tu--z$uv--z$vu--z$v--z$sv--cycle;
+ labels($s,$t,$u,$v);
+enddef; % end of draw_pcomma
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{draw_plq}
+% A macro to draw a period left quote.
+% |draw_pcomma(1,t,w)| draws a left quote placed at |z1| (the top), line width is |t|
+% and bottom of line is |w| horizontally from |z1|.
+% \begin{macrocode}
+
+def draw_plq(suffix $)(expr sz, ar)=
+% \end{macrocode}
+% Draw a line of at |z$| of width |sz| sloping forward and down
+% for a total width of |ar| and depth |2ar|.
+% \begin{macrocode}
+ z$s = z$ shifted (0.5sz*left);
+ z$t = z$s shifted (sz*right);
+ x$v=x$s+ar; y$v=y$s-2ar;
+ z$u = z$v shifted (sz*right);
+ z$sv = (x$s, 1/3[y$s,y$v]);
+ z$tu = (x$t, y$sv);
+ z$uv = 1/3[z$u,z$v];
+ z$vu = 1/3[z$v,z$u];
+ pickup stylus;
+%% filldraw z$s--z$t--z$u--z$v--cycle;
+ filldraw z$s--z$t--z$tu--z$uv--z$vu--z$v--z$sv--cycle;
+ labels($s,$t,$u,$v);
+enddef; % end of draw_plq
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{offsetbowl}
+% A macro to calculate the outer and inner paths (|obouter| and |obinner|)
+% for a non-centered letter `o'. |offsetbowl($, sx, sy, fx, fy)|
+% calculates the paths for an `o'
+% enclosed in a rectangle size |sx| by |sy| with its bottom lefthand corner
+% located at |z$|, where the center of the o is at |(fx*sx, fy*sy)| in the
+% bounding rectangle.
+%
+% Two construction paths, namely |obfirst| and |obsecond| are also
+% available. They should be identical.
+%
+% All paths have points listed in a clockwise direction, starting with
+% |z$nh| or |z$minl| as appropriate.
+%
+% |offsetbowl($, sx, sy, 1/2, 1/2)| gives the same results as |obowl($, sx, sy)|.
+% \begin{macrocode}
+
+path obouter, obinner, obfirst, obsecond;
+def offsetbowl(suffix $)(expr sx, sy, fx, fy)=
+ numeric inx, iny, cx, cy;
+ pair pt[];
+ path pth[];
+ inx := 1/2thick*cosd(pangle); iny := 1/2thick*sind(pangle);
+ cx := x$+fx*sx; cy := y$+fy*sy;
+ z$obc = (cx,cy);
+% \end{macrocode}
+% Calulate points on the centre path of the pen. These are offset by |inx|
+% from the rectangles vertical sides and by |iny| from the horizontal sides.
+% If the pen is parallel to a side, offset the point by half the pen's
+% dimension. First do the West, East, North and South points.
+% \begin{macrocode}
+ if pangle = 90:
+ z$wt=(x$+1/2thin, cy);
+ z$et=(x$+sx-1/2thin, cy);
+ else:
+ z$wt=(x$+inx, cy);
+ z$et=(x$+sx-inx, cy);
+ penpos$wt(thick,pangle);
+ penpos$et(thick,pangle);
+ fi
+ if pangle = 0:
+ z$nh=(cx, y$+sy-1/2thin);
+ z$sh=(cx, y$+1/2thin);
+ else:
+ z$nh=(cx, y$+sy-iny);
+ z$sh=(cx, y$+iny);
+ penpos$nh(thick,pangle);
+ penpos$sh(thick,pangle);
+ fi
+ obfirst := z$nh{right}..z$et{down}..z$sh{left}..z$wt{up}..cycle;
+% \end{macrocode}
+% Now calculate the points on the path |obfirst| where the pen will
+% draw the min width lines (i.e., the points where the pen will be
+% moving parallel to |pangle|).
+% \begin{macrocode}
+ if pangle = 90:
+ z$minl = z$wt; z$maxr = z$nh; z$minr = z$et; z$maxl = z$sh;
+ else:
+ if pangle = 0:
+ z$minl = z$nh; z$maxr = z$et; z$minr = z$sh; z$maxl = z$wt;
+ else:
+ z$minl = directionpoint dir(pangle) of obfirst;
+ z$minr = directionpoint -dir(pangle) of obfirst;
+% \end{macrocode}
+% The max points are roughly where the inner and outer diverge
+% the most. These are simple for 0 and 90 degree pens and have
+% been calculated above. It's not so simple for intermediate
+% angles. For a reasonable looking result, we pick the max
+% points to be halfway between the min points. This involves
+% calculating some angles, paths and intersections.
+% \begin{macrocode}
+ pt1 := z$minr - z$minl; % direction
+ pt2 := (- ypart pt1, xpart pt1); % perpendicular
+ pt3 := 1/2[z$minl, z$minr];
+ pt4 := pt3 shifted pt2;
+ pt5 := pt3 shifted -pt2;
+ pth1 := pt3--pt4;
+ pth2 := pt3--pt5;
+ z$maxr = pth1 intersectionpoint obfirst;
+ z$maxl = pth2 intersectionpoint obfirst;
+ \fi
+ \fi
+% \end{macrocode}
+% Place the pen at each of these points to get the outer and inner points.
+% \begin{macrocode}
+ penpos$minl(thin,pangle+90);
+ penpos$maxr(thick,pangle);
+ penpos$minr(thin,pangle+90);
+ penpos$maxl(thick,pangle);
+% \end{macrocode}
+% Finally, the outer and inner paths.
+% \begin{macrocode}
+ obsecond := z$minl..z$maxr..z$minr..z$maxl..cycle;
+ z$minlo = z$minl.r; z$maxro = z$maxr.r;
+ z$minro = z$minr.l; z$maxlo = z$maxl.l;
+ obouter := z$minlo{dir(pangle)}...z$maxro...z$minro{-dir(pangle)}...z$maxlo...cycle;
+ z$minli = z$minl.l; z$maxri = z$maxr.l;
+ z$minri = z$minr.r; z$maxli = z$maxl.r;
+ obinner := z$minli...z$maxri...z$minri...z$maxli...cycle;
+ labels($obc, $nh, $et, $sh, $wt);
+ labels($minl, $maxr, $minr, $maxl);
+ labels($minlo, $maxro, $minro, $maxlo);
+ labels($minli, $maxri, $minri, $maxli);
+enddef;
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{obowl}
+% A macro to calculate the outer and inner paths (|obouter| and |obinner|)
+% for the letter `o'. |obowl($, sx, sy)| calculates the paths for an `o'
+% centered and enclosed in a rectangle size |sx| by |sy| with its bottom
+% lefthand corner located at |z$|.
+% \begin{macrocode}
+
+def obowl(suffix $)(expr sx, sy)=
+ offsetbowl($, sx, sy, 1/2, 1/2);
+enddef;
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{scalarprod}
+% |v scalarprod w| calulates the scalar product between the
+% two vectors |v| and |w|.
+% \begin{macrocode}
+
+primarydef v scalarprod w =
+ (xpart v * ypart w - ypart v * xpart w)
+enddef;
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{tangentpoint}
+% |tangentpoint($, path)| calculates the point |z$tan| on the |path|
+% so that |z$tan--z$| is tangent to the path. It uses a binary search
+% to find a point on the path such that the path direction is
+% (anti-) parallel to the dirction from that point to the given point.
+% \begin{macrocode}
+
+def tangentpoint(suffix $)(expr pth)=
+ pair vecll, veclr, veclm; % "tangent" line directions
+ numeric pl, pr, pm; % path parameter values
+ pair vecpl, vecpr, vecpm; % path directions
+ pair ptl, ptr, ptm; % path points
+ numeric sl, sr, sm; % scalar products of path/line directions
+ numeric stpsize; % size of current binary step
+ numeric tantol; % tolerance
+ boolean wtest; % a boolean
+
+ tantol := eps;
+% \end{macrocode}
+% Initialise using the left right and middle points on the path.
+% \begin{macrocode}
+ pl:=0; pr:=length pth; pm:=0.5(pl+pr); stpsize:=pr-pl;
+ ptl := point pl of pth;
+ ptm := point pm of pth;
+ ptr := point pr of pth;
+% \end{macrocode}
+% Now the various vectors, and make sure they are unit vectors to
+% have a consistent measure scale when we take the scalar products.
+% \begin{macrocode}
+ vecll := unitvector (z$-ptl);
+ veclm := unitvector (z$-ptm);
+ veclr := unitvector (z$-ptr);
+ vecpl := unitvector (direction pl of pth);
+ vecpm := unitvector (direction pm of pth);
+ vecpr := unitvector (direction pr of pth);
+ sl := vecll scalarprod vecpl;
+ sm := veclm scalarprod vecpm;
+ sr := veclr scalarprod vecpr;
+% \end{macrocode}
+% We stop if any of the points is the tangent point, or if the step
+% size is too small, or if the signs of the left and right scalar
+% products are the same.
+% \begin{macrocode}
+ wtest := (stpsize < tantol) or (sl*sr > 0) or
+ (abs sl < tantol) or (abs sm < tantol) or (abs sr < tantol);
+ if wtest:
+ if (stpsize < tantol):
+ z$tan=(0,0);
+ errmessage("No tangent; path too short");
+ else:
+ if (sl*sr > 0):
+ z$tan=(0,0);
+ errmessage("No tangent; end products have the same sign");
+ else:
+ if (abs sl < tantol):
+ z$tan=ptl;
+ else:
+ if (abs sm < tantol):
+ z$tan=ptm;
+ else:
+ z$tan=ptr;
+ fi
+ fi
+ fi
+ fi
+ else:
+% \end{macrocode}
+% There should be a tangent and we iterate to find it, using
+% bisection. If there is one to be found it will be at the
+% current middle point. The tangent point will be somewhere
+% between the two points that lead to opposite signed scalar
+% products.
+% \begin{macrocode}
+ forever:
+ if (sl*sm < 0): % opposite signs, look between pl & pm
+ pr:=pm; pm:=0.5(pr+pl);
+ vecpr := vecpm; veclr := veclm; sr:=sm;
+ else:
+ pl:=pm; pm:=0.5(pr+pl);
+ vecpl:=vecpm; vecll:=veclm; sl:=sm;
+ fi
+ stpsize:=pr-pl;
+ ptm := point pm of pth;
+ veclm := unitvector (z$-ptm);
+ vecpm := unitvector (direction pm of pth);
+ sm := veclm scalarprod vecpm;
+% \end{macrocode}
+% We stop the iteration if the step size is too small or the
+% middle point is the tangent point. In either case, the
+% middle point is the best guess that can be made.
+% \begin{macrocode}
+ wtest := (stpsize < tantol) or (abs sm < tantol);
+ if wtest:
+ if (abs sm < tantol):
+ z$tan = ptm;
+ else:
+ z$tan = ptm;
+%%%%%% errmessage("Warning: tangent approximated");
+ fi
+ fi
+ exitif wtest;
+ endfor
+ fi
+enddef;
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% Set the mode and font setup.
+% \begin{macrocode}
+
+font_coding_scheme:="ASCII minuscules and punctuation";
+mode_setup;
+tgothic_font_setup;
+
+% \end{macrocode}
+%
+%
+% We generate letters, together with some punctuation and
+% analphabetics.
+% \begin{macrocode}
+
+input tgothl; % lower case
+input tgothu; % capitals
+input tgothpunct; % punctuation
+input tgothlig; % the several dashes
+input tgothdig; % arabic digits
+
+% \end{macrocode}
+%
+% Set up the spacings, stretches and shrinks.
+%
+% \begin{macrocode}
+
+font_slant slant; font_x_height x_height#;
+if monospace:
+ font_normal_space 2vstretch*stem_width#; % no stretching or shrinking
+ font_quad vstretch*18u#;
+ font_extra_space vstretch*9u#;
+else:
+ font_normal_space 2vstretch*stem_width#+2letter_fit#;
+ font_normal_stretch vstretch*3u#; font_normal_shrink vstretch*2u#;
+ font_quad vstretch*18u#+4letter_fit#;
+ font_extra_space vstretch*2u#;
+
+% \end{macrocode}
+%
+% Finally, do the ligtables, but I don't think they are needed (yet?).
+%
+% \begin{macrocode}
+
+fi
+
+bye.
+
+ k#:=-.5u#; kk#:=-1.5u#; kkk#:=-2u#; % three degrees of kerning
+ kks#:=-4u#; kkx#:=-1.5u#; kkj#:=-2u#; kkr#:=-5u#; kkrs#:=-2u#; kkrl#:=-8u#;
+ ligtable "s":
+ "a" kern kks#, "A" kern kks#,
+ "c" kern kks#, "C" kern kks#,
+ "d" kern kks#, "D" kern kks#,
+ "e" kern kks#, "E" kern kks#,
+ "f" kern kks#, "F" kern kks#,
+ "g" kern kks#, "G" kern kks#,
+ "i" kern kks#, "I" kern kks#,
+ "j" kern kks#, "J" kern kks#,
+ "k" kern kks#, "K" kern kks#,
+ "m" kern kks#, "M" kern kks#,
+ "n" kern kks#, "N" kern kks#,
+ "o" kern kks#, "O" kern kks#,
+ "p" kern kks#, "P" kern kks#,
+ "q" kern kks#, "Q" kern kks#,
+ "r" kern kks#, "R" kern kks#,
+ "t" kern kks#, "T" kern kks#,
+ "u" kern kks#, "U" kern kks#,
+ "v" kern kks#, "V" kern kks#,
+ "w" kern kks#, "W" kern kks#,
+ "x" kern kks#, "X" kern kks#,
+ "y" kern kks#, "Y" kern kks#,
+ "z" kern kks#, "Z" kern kks#;
+
+ ligtable "S":
+ "a" kern kks#, "A" kern kks#,
+ "c" kern kks#, "C" kern kks#,
+ "d" kern kks#, "D" kern kks#,
+ "e" kern kks#, "E" kern kks#,
+ "f" kern kks#, "F" kern kks#,
+ "g" kern kks#, "G" kern kks#,
+ "i" kern kks#, "I" kern kks#,
+ "j" kern kks#, "J" kern kks#,
+ "k" kern kks#, "K" kern kks#,
+ "m" kern kks#, "M" kern kks#,
+ "n" kern kks#, "N" kern kks#,
+ "o" kern kks#, "O" kern kks#,
+ "p" kern kks#, "P" kern kks#,
+ "q" kern kks#, "Q" kern kks#,
+ "r" kern kks#, "R" kern kks#,
+ "t" kern kks#, "T" kern kks#,
+ "u" kern kks#, "U" kern kks#,
+ "v" kern kks#, "V" kern kks#,
+ "w" kern kks#, "W" kern kks#,
+ "x" kern kks#, "X" kern kks#,
+ "y" kern kks#, "Y" kern kks#,
+ "z" kern kks#, "Z" kern kks#;
+
+ ligtable "x":
+ "a" kern kkx#, "A" kern kkx#,
+ "b" kern kkx#, "B" kern kkx#,
+ "c" kern kkx#, "C" kern kkx#,
+ "d" kern kkx#, "D" kern kkx#,
+ "e" kern kkx#, "E" kern kkx#,
+ "g" kern kkx#, "G" kern kkx#,
+ "j" kern kkx#, "J" kern kkx#,
+ "l" kern kkx#, "L" kern kkx#,
+ "o" kern kkx#, "O" kern kkx#,
+ "q" kern kkx#, "Q" kern kkx#,
+ "t" kern kkx#, "T" kern kkx#,
+ "u" kern kkx#, "U" kern kkx#,
+ "v" kern kkx#, "V" kern kkx#,
+ "w" kern kkx#, "W" kern kkx#,
+ "y" kern kkx#, "Y" kern kkx#;
+
+ ligtable "X":
+ "a" kern kkx#, "A" kern kkx#,
+ "b" kern kkx#, "B" kern kkx#,
+ "c" kern kkx#, "C" kern kkx#,
+ "d" kern kkx#, "D" kern kkx#,
+ "e" kern kkx#, "E" kern kkx#,
+ "g" kern kkx#, "G" kern kkx#,
+ "j" kern kkx#, "J" kern kkx#,
+ "l" kern kkx#, "L" kern kkx#,
+ "o" kern kkx#, "O" kern kkx#,
+ "q" kern kkx#, "Q" kern kkx#,
+ "t" kern kkx#, "T" kern kkx#,
+ "u" kern kkx#, "U" kern kkx#,
+ "v" kern kkx#, "V" kern kkx#,
+ "w" kern kkx#, "W" kern kkx#,
+ "y" kern kkx#, "Y" kern kkx#;
+
+ ligtable "a": "A":
+ "b": "B":
+ "c": "C":
+ "d": "D":
+ "e": "E":
+ "h": "H":
+ "i": "I":
+ "k": "K":
+ "l": "L":
+ "m": "M":
+ "n": "N":
+ "o": "O":
+ "p": "P":
+ "t": "T":
+ "u": "U":
+ "v": "V":
+ "w": "W":
+ "z": "Z":
+ "j" kern kkj#, "J" kern kkj#;
+
+ ligtable "r":
+ "a" kern kkr#, "A" kern kkr#,
+ "b" kern kkr#, "B" kern kkr#,
+ "c" kern kkr#, "C" kern kkr#,
+ "d" kern kkr#, "D" kern kkr#,
+ "e" kern kkr#, "E" kern kkr#,
+ "f" kern kkrs#, "F" kern kkrs#,
+ "g" kern kkrs#, "G" kern kkrs#,
+ "h" kern kkr#, "H" kern kkr#,
+ "i" kern kkr#, "I" kern kkr#,
+ "j" kern kkj#, "J" kern kkj#,
+ "k" kern kkrs#, "K" kern kkrs#,
+ "l" kern kkr#, "L" kern kkr#,
+ "m" kern kkr#, "M" kern kkr#,
+ "n" kern kkrs#, "N" kern kkrs#,
+ "o" kern kkr#, "O" kern kkr#,
+ "p" kern kkrs#, "P" kern kkrs#,
+ "q" kern kkr#, "Q" kern kkr#,
+ "r" kern kkrs#, "R" kern kkrs#,
+ "s" kern kkr#, "S" kern kkr#,
+ "t" kern kkr#, "T" kern kkr#,
+ "u" kern kkr#, "U" kern kkr#,
+ "v" kern kkr#, "V" kern kkr#,
+ "w" kern kkr#, "W" kern kkr#,
+ "x" kern kkx#, "X" kern kkx#,
+ "y" kern kkr#, "Y" kern kkr#,
+ "z" kern kkr#, "Z" kern kkr#;
+
+ ligtable "R":
+ "a" kern kkr#, "A" kern kkr#,
+ "b" kern kkr#, "B" kern kkr#,
+ "c" kern kkr#, "C" kern kkr#,
+ "d" kern kkr#, "D" kern kkr#,
+ "e" kern kkr#, "E" kern kkr#,
+ "f" kern kkrs#, "F" kern kkrs#,
+ "g" kern kkrs#, "G" kern kkrs#,
+ "h" kern kkr#, "H" kern kkr#,
+ "i" kern kkr#, "I" kern kkr#,
+ "j" kern kkj#, "J" kern kkj#,
+ "k" kern kkrs#, "K" kern kkrs#,
+ "l" kern kkr#, "L" kern kkr#,
+ "m" kern kkr#, "M" kern kkr#,
+ "n" kern kkrs#, "N" kern kkrs#,
+ "o" kern kkr#, "O" kern kkr#,
+ "p" kern kkrs#, "P" kern kkrs#,
+ "q" kern kkr#, "Q" kern kkr#,
+ "r" kern kkrs#, "R" kern kkrs#,
+ "s" kern kkr#, "S" kern kkr#,
+ "t" kern kkr#, "T" kern kkr#,
+ "u" kern kkr#, "U" kern kkr#,
+ "v" kern kkr#, "V" kern kkr#,
+ "w" kern kkr#, "W" kern kkr#,
+ "x" kern kkx#, "X" kern kkx#,
+ "y" kern kkr#, "Y" kern kkr#,
+ "z" kern kkr#, "Z" kern kkr#;
+
+
+fi
+
+bye.
+
+%</mfd>
+% \end{macrocode}
+%
+% \subsection{The code for normal letters}
+%
+% The following code is for the lower case characters.
+%
+% \begin{macrocode}
+%<*min>
+% TGOTHL.MF Program file for Gothic Textura Quadrata lower case
+%
+
+% \end{macrocode}
+%
+%
+% \begin{routine}{a}
+% The letter `a'.
+% \begin{macrocode}
+cmchar "TGOTH letter a";
+beginchar("a", 2sb#+hstretch*((3+widedmin+wided)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+path pth[];
+pair pr[];
+pickup quill;
+%% left hand
+lft x1 = pcshiftx + widedmin*stem_width; y1 = 1/2h;
+x2 = x1; y2 = 0;
+draw_downdiamondstem(1,2,wided,widedmin,diawd,diang);
+%% right stem
+rt x3 = w - pcshiftx - wided*stem_width; y3=h;
+x4=x3; y4=0;
+z34=1/2[z3,z4];
+draw_updiamondstem(3,34,1.0,0.1,diawd,diang);
+draw_downdiamondstem(34,4,wided,widedmin,diawd,diang);
+%% swirl
+x11=rt x1; y11 = top y1;
+pickup stylus;
+draw z3d--z3c..{-ppdir}z11;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,11,12,13,14,15,100);
+endchar; % end "a"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{b}
+% The letter `b'.
+% \begin{macrocode}
+cmchar "TGOTH letter b";
+beginchar("b", 2sb#+hstretch*((3 + widedmin + narrowdmin)*stem_width#),
+ asc_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := sb;
+pickup quill;
+n1:=w-2pcshiftx; % actual letter width
+n2:=h/ascratio; % top of bowl
+%%ductus:=true;
+lft x1 = pcshiftx + widedmin*st; y1=h;
+x2 = x1; y2=0;
+z3=1/2[z1,z2];
+draw_upforkstem(1,3);
+draw_downdiamondstem(3,2,1.0,widedmin,diawd,diang);
+lft x6 = x2c; bot y6 = y2c;
+x4 = x6; y4=n2;
+draw_updiamondstem(4,6,narrowd,narrowdmin,diawd,diang);
+x7 = x1; z7 = whatever[z4d,z4c];
+pickup stylus;
+draw z4d--z7;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,100);
+endchar; % end "b"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{c}
+% The letter `c'.
+% \begin{macrocode}
+cmchar "TGOTH letter c";
+beginchar("c", 2sb#+hstretch*((3+wided)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st;
+st := stem_width;
+pcshiftx := sb;
+pickup quill;
+%% left
+lft x1 = pcshiftx+wided*st; y1 = 3/4h;
+x2 = x1; y2 = 0;
+draw_downdiamondstem(1,2,wided,widedmin,diawd,diang);
+%% top
+lft x3 = rt x1; bot y3 = top y1;
+rt x4 = w - pcshiftx;
+z3 - z4 = -whatever*ppdir;
+draw z3--z4;
+z11-z2c = z2c - z2d;
+pickup stylus;
+draw z2d--z11;
+ductus:=false;
+penlabels(1,2,3,4,5,6,14,16,17,18,100);
+endchar; % end "c"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{d}
+% The letter `d'.
+% \begin{macrocode}
+cmchar "TGOTH letter d";
+beginchar("d", 2sb#+hstretch*((3+widedmin+narrowdmin)*stem_width#),
+ asc_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := sb;
+pickup quill;
+n1 = h/ascratio; % x-height
+%% left
+n2 := st*(cosd diang);
+lft x1 = pcshiftx + widedmin*st; top y1 = 12/16n1;
+x2=x1; y2=0;
+draw_downdiamondstem(1,2, 1.0, widedmin, diawd,diang);
+%% right
+rt x3 = w-pcshiftx-narrowdmin*st; y3=h;
+x4 = x3; bot y4 = y2c;
+draw_updiamondstem(3,4, 2.0, narrowdmin, diawd,diang);
+x31 = lft x1; y31 = bot y1;
+x32 = rt x1; y32 = top y1;
+z33 = whatever[z31,z32] = whatever[z3e,z3c];
+pickup stylus;
+draw z31--z33;
+ductus:=false;
+penlabels(0,1,2,3,4,5,6,7,8,100);
+endchar; % end "d"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{e}
+% The letter `e'.
+% \begin{macrocode}
+cmchar "TGOTH letter e";
+beginchar("e", 2sb#+hstretch*((3+wided)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st;
+st := stem_width;
+path pth[];
+pickup quill;
+%% left
+lft x1 = pcshiftx+wided*st; y1 = 3/4h;
+x2 = x1; y2 = 0;
+draw_downdiamondstem(1,2,wided,widedmin,diawd,diang);
+%% top
+lft x3 = rt x1; bot y3 = top y1;
+rt x4 = w - pcshiftx;
+z3 - z4 = -whatever*ppdir;
+draw z3--z4;
+x5 = x1;
+z4-z5 = whatever*pdir;
+pickup stylus;
+draw z4--z5;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,17,27,34,70,100);
+endchar; % end "e"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{f}
+% The letter `f'.
+% \begin{macrocode}
+cmchar "TGOTH letter f";
+beginchar("f", 2sb#+hstretch*((3+widedmin)*stem_width#),
+ (asc_height#), 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+pcshiftx := sb;
+pickup quill;
+n1 := h/ascratio; % x-height
+%% stem
+lft x1=lft x2=pcshiftx+widedmin*st; y2=0; top y1 = h - (top y2 - bot y2);
+draw_downdiamondstem(1,2,wided,widedmin,diawd,diang);
+%% top bar
+lft x3 = rt x1; rt x5 = w-pcshiftx; bot y3 = top y1; y5=y3;
+draw z3--z5;
+%% middle bar
+lft x7 = pcshiftx; rt x9 = x5;
+y7 = y9 = 10/16h;
+draw z7--z9;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,14,15,16,100);
+endchar; % end "f"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{g}
+% The letter `g'.
+% \begin{macrocode}
+cmchar "TGOTH letter g";
+beginchar("g", 2sb#+hstretch*((4)*stem_width#),
+ x_height#, desc_depth#);
+adjust_fit(0,0);
+path pth[];
+pair vec[];
+numeric n[];
+numeric st; st := stem_width;
+pcshiftx := sb;
+pickup quill;
+%% left
+lft x1 = pcshiftx;
+x2 = x1; bot y2 = 0; top y1 = h - (top y2 - bot y2);
+draw z1--z2;
+x3 = x4 = x1 + 2st; y4 = y2;
+lft x13 = rt x1; bot y13 = top y1;
+(z3-z13) = whatever*(dir -diang);
+draw z13--z3--z4;
+z34 = 1/2[z13,z3]; rt x37 = w-pcshiftx; top y37 = h;
+draw z34{right}..{pdir}z37;
+pickup stylus;
+bot y5 = -d;
+(z4-z5) = whatever*pdir;
+draw z4--z5;
+pickup quill;
+%% bottom loop
+z21 = z2;
+lft x25 = x5; bot y25=-d;
+x29 = 1/2[x3,x37];
+(z29-z21) = whatever*(dir -diang);
+x23 = x29; y23 = 1/2[y29,y25];
+draw z21{dir - diang}..z23{down}..{left}z25;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,11,12,13,31,32,33,34,35,36,100);
+endchar; % end "g"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{h}
+% The letter `h'.
+% \begin{macrocode}
+cmchar "TGOTH letter h";
+beginchar("h", 2sb#+hstretch*((3 + narrowd + narrowdmin)*stem_width#),
+ asc_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+pickup quill;
+numeric n[];
+n1 = h/ascratio;
+%% stem
+lft x1=lft x2=pcshiftx + narrowdmin*stem_width;
+y1=h; y2=0;
+z12 = 1/2[z1,z2];
+draw_upforkstem(1,12);
+draw_downdiamondstem(12,2,narrowd,narrowdmin,diawd,diang);
+%% bowl
+x3 = x1 + 2stem_width; x4 = x3;
+y3 = n1; y4=0;
+z34 = 1/2[z3,z4];
+draw_updiamondstem(3,34,narrowd,narrowdmin,diawd,diang);
+draw_downdiamondstem(34,4,narrowd,narrowdmin,diawd,diang);
+x7 = x1; z7 = whatever[z3d,z3c];
+pickup stylus;
+draw z3d--z7;
+penlabels(1,2,3,4,5,6,100);
+endchar; % end "h"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{i}
+% The letter `i'.
+% \begin{macrocode}
+cmchar "TGOTH letter i";
+beginchar("i", 2sb#+hstretch*(2stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+pickup quill;
+x1 = x2 = 1/2w; y1 = h; y2 = 0;
+z12 = 1/2[z1,z2];
+draw_updiamondstem(1,12,1/2,1/2,diawd,diang);
+draw_downdiamondstem(12,2,1/2,1/2,diawd,diang);
+x3= x1-thin; bot y3 = h + 1/2stem_width;
+z4 = (x3+3thin,y3);
+pickup halfquill;
+draw z3--z4;
+penlabels(1,2,100);
+endchar; % end "i"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{j}
+% The letter `j'. This letter was not in the script, it being a later invention.
+% \begin{macrocode}
+cmchar "TGOTH letter j";
+beginchar("j", sb#+hstretch*(5/2stem_width#),
+ x_height#, desc_depth#);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+pickup quill;
+%% stem
+rt x1 = w-pcshiftx - 1/2stem_width; y1 = h;
+x2=x1; y2=-1/2d;
+%% bottom hook
+lft x3 = pcshiftx; bot y3 = -d;
+draw_updiamondstem(1,2,narrowd,narrowdmin,diawd,diang);
+draw z2{down}..z3{-pdir}; % hook
+ductus:=false;
+penlabels(1,2,3,100);
+endchar; % end "j"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{k}
+% The letter `k'.
+% \begin{macrocode}
+cmchar "TGOTH letter k";
+beginchar("k", 2sb#+hstretch*((3 + narrowd + narrowdmin)*stem_width#),
+ asc_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+path pth[];
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% stem
+n1 = h/ascratio; % x-height
+lft x1=lft x2=pcshiftx + narrowdmin*st;
+y1=h; y2=0;
+z12 = 1/2[z1,z2];
+draw_upforkstem(1,12);
+draw_downdiamondstem(12,2, narrowd, narrowdmin, diawd,diang);
+%% right leg
+x3 = x1 + 2st; y3 = 8/16n1;
+x4 = x3; y4 = 0;
+z34 = 1/2[z3,z4];
+draw_downdiamondstem(34,4, narrowd, narrowdmin, diawd,diang);
+draw z3--z34;
+lft x5 = rt x1;
+(z3-z5) = whatever*(dir -diang);
+draw z5--z3;
+
+%% top arm
+x6 = 1/2[x3, rt x3];
+(z6-z5) = whatever*(pdir);
+rt x8 = lft x5; top y8 = bot y5+thick;
+(z7-z8) = whatever*(z6-z5);
+(z7-z6)=whatver*(z5-z3);
+draw z6--z7;
+pickup stylus;
+draw z5--z6--z7--z8;
+
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,13,14,100);
+endchar; % end "k"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{l}
+% The letter `l'.
+% \begin{macrocode}
+cmchar "TGOTH letter l";
+beginchar("l", 2sb#+hstretch*((2 + widedmin)*stem_width#),
+ asc_height#, 0);
+adjust_fit(0,0);
+numeric st; st := stem_width;
+pcshiftx := sb;
+pickup quill;
+lft x1=pcshiftx + widedmin*st; y1=h;
+x2=x1; y2 =0;
+z3 = 1/2[z1,z2];
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw_upforkstem(1,3);
+draw_downdiamondstem(3,2,1.0,widedmin,diawd,diang);
+ductus:=false;
+penlabels(1,2,3,4,100);
+endchar; % end "l"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{m}
+% The letter `m'.
+% \begin{macrocode}
+cmchar "TGOTH letter m";
+beginchar("m", 2sb#+hstretch*((5+wided+narrowd)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+path pth[];
+pickup quill;
+%% left stem
+lft x1=pcshiftx+wided*stem_width; y1 = y3 = y5 = h;
+x2=x1; y2=y4=y6=0;
+z12=1/2[z1,z2];
+draw_updiamondstem(1,12,wided,widedmin,diawd,diang);
+draw_downdiamondstem(12,2,narrowd,narrowdmin,diawd,diang);
+%% right stem
+rt x5 = rt x6 = w-pcshiftx-narrowd*stem_width;
+z56 = 1/2[z5,z6];
+draw_updiamondstem(5,56,wided,widedmin,diawd,diang);
+draw_downdiamondstem(56,6,narrowd,narrowdmin,diawd,diang);
+%% middle stem
+z3=1/2[z1,z5]; z4 = 1/2[z2,z6]; z34=1/2[z3,z4];
+draw_updiamondstem(3,34,wided,widedmin,diawd,diang);
+draw_downdiamondstem(34,4,narrowd,narrowdmin,diawd,diang);
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,13,14,33,34,100);
+endchar; % end "m"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{n}
+% The letter `n'.
+% \begin{macrocode}
+cmchar "TGOTH letter n";
+beginchar("n", 2sb#+hstretch*((3+wided+narrowd)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+pickup quill;
+%% left stem
+lft x1 = pcshiftx + wided*stem_width; y1 = h;
+x2 = x1; y2 = 0;
+z12 = 1/2[z1,z2];
+draw_updiamondstem(1,12,wided,widedmin,diawd,diang);
+draw_downdiamondstem(12,2,narrowd,narrowdmin,diawd,diang);
+%% right stem
+rt x3 = w-pcshiftx - narrowd*stem_width; y3=y1;
+x4=x3;y4=y2;
+z34=1/2[z3,z4];
+draw_updiamondstem(3,34,wided,widedmin,diawd,diang);
+draw_downdiamondstem(34,4,narrowd,narrowdmin,diawd,diang);
+penlabels(1,2,3,4,5,6,13,14,100);
+endchar; % end "n"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{o}
+% The letter `o'.
+% \begin{macrocode}
+cmchar "TGOTH letter o";
+beginchar("o", 2sb#+hstretch*((3 + narrowdmin + narrowdmin)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% bottom left
+lft x12 = pcshiftx + narrowdmin*st; y12 = 1/2h;
+x2 = x12; y2 = 0;
+draw_downdiamondstem(12,2, 1.0, narrowdmin, diawd,diang);
+%% right
+rt x3 = w - pcshiftx - narrowdmin*st; x4=x3;
+y3 = h; bot y4 = y2c;
+draw_updiamondstem(3,4, 1.0, narrowdmin, diawd,diang);
+%% top left
+x1 = x12; top y1 = y3c;
+draw z1--z12;
+ductus:=false;
+penlabels(1,2,3,4,5,100);
+endchar; % end "o"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{p}
+% The letter `p'.
+% \begin{macrocode}
+cmchar "TGOTH letter p";
+beginchar("p", 2sb#+hstretch*((3 + wided + widedmin)*stem_width#),
+ x_height#, desc_depth#);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% stem
+lft x1=lft x2=pcshiftx+wided*st;
+y1=h; y2=-d;
+z12 = 1/2[z1,z2];
+draw_updiamondstem(1,12,wided,widedmin,diawd,diang);
+draw_downforkstem(12,2);
+%% bowl
+x3 = x4 = x1 + 2st;
+y3 = y1; bot y4 = 0;
+draw_updiamondstem(3,4,wided,widedmin,diawd,diang);
+lft x5 = pcshiftx; y5 = y4;
+draw z5--z4;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,100);
+endchar; % end "p"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{q}
+% The letter `q'.
+% \begin{macrocode}
+cmchar "TGOTH letter q";
+beginchar("q", 2sb#+hstretch*((3 + widedmin)*stem_width#),
+ x_height#, desc_depth#);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% left/bottom of bowl
+y99 = 0;
+lft x1 = pcshiftx +widedmin*st; top y1 = h - (top y99 - bot y99);
+x2 = x1; y2 = 0;
+draw_downdiamondstem(1,2, 1.0, widedmin,diawd,diang);
+%% rest
+x3 = x1 + 2st; x4 = x3; y3 = y1; y4 = -d;
+lft x5 = rt x1; bot y5 = top y1;
+draw_downforkstem(3,4);
+draw z5--z3;
+ductus:=false;
+penlabels(0,1,2,3,4,5,6,7,8,100);
+endchar; % end "q"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{r}
+% The letter `r'.
+% \begin{macrocode}
+cmchar "TGOTH letter r";
+beginchar("r", 2sb#+hstretch*((3+wided)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% stem
+lft x1=lft x2=pcshiftx + wided*st;
+y1=h; y2=0;
+z12 = 1/2[z1,z2];
+draw_updiamondstem(1,12,wided,widedmin,diawd,diang);
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+%% bar
+lft x3 = rt x1; rt x4 = w-pcshiftx; top y3 = top y4 = h;
+draw z3--z4;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,100);
+endchar; % end "r"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{s}
+% The letter `s'. This is a short S.
+% \begin{macrocode}
+cmchar "TGOTH letter s";
+beginchar("s", 2sb#+hstretch*((4)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+pcshiftx := sb;
+pickup stylus;
+%% the diagonal
+lft x2 = pcshiftx; bot y2 = 0;
+rt x1 = w-pcshiftx; top y1 = h;
+draw z1--z2;
+pickup quill;
+z211 = 13/32[z2,z1]; %% 10/32 too small, 16/32 too large
+z213 = 24/32[z2,z1]; %% 26/32 too large
+z212 = 1/2[z211,z213];
+%% bottom bowl
+lft x21 = x2; bot y21 = 0;
+rt x22 = w - pcshiftx; bot y22 = 0;
+x23 = x22; z24 = z212;
+(z24-z23) = whatever*(dir (180-diang));
+draw z21{pdir}..z22--z23--z24;
+%% top bowl
+z14 = z211; z11 = z213;
+lft x12 = lft x13 = pcshiftx;
+(z13-z14) = whatever*(dir (180-diang));
+(z12-z11) = whatever*(dir (180-diang));
+draw z11--z12--z13--z14;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,28,100);
+endchar; % end "s"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{t}
+% The letter `t'.
+% \begin{macrocode}
+cmchar "TGOTH letter t";
+beginchar("t", 2sb#+hstretch*((2+1.0)*stem_width#),
+ asc_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% bar
+lft x3 = pcshiftx; top y1 = h;
+top y3 = bot y1;
+rt x4 = w-pcshiftx; y4=y3;
+draw z3--z4;
+%% stem
+lft x1 = rt x3;
+x2 = x1; y2 = 0;
+draw_downdiamondstem(1,2,wided,widedmin,diawd,diang);
+ductus:=false;
+penlabels(1,2,3,4,5,6,11,12,100);
+endchar; % end "t"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{u}
+% The letter `u'.
+% \begin{macrocode}
+cmchar "TGOTH letter u";
+beginchar("u", 2sb#+hstretch*((3+narrowd+wided)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+pickup quill;
+%% left stem
+lft x1 = pcshiftx + narrowd*stem_width; y1 = h;
+x2 = x1; y2 = 0;
+z12 = 1/2[z1,z2];
+draw_updiamondstem(1,12,narrowd,narrowdmin,diawd,diang);
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+rt x3 = w - pcshiftx - wided*stem_width; y3=y1;
+x4=x3;y4=y2;
+z34=1/2[z3,z4];
+draw_updiamondstem(3,34,narrowd,narrowdmin,diawd,diang);
+draw_downdiamondstem(34,4,wided,widedmin,diawd,diang);
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,11,13,14,16,33,100);
+endchar; % end "u"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{v}
+% The letter `v'.
+% \begin{macrocode}
+cmchar "TGOTH letter v";
+beginchar("v", 2sb#+hstretch*((4 + narrowdmin)*stem_width#),
+ asc_height#, 0);
+adjust_fit(0,0);
+numeric n[]; numeric st;
+pcshiftx := sb;
+st := stem_width;
+n1 := h/ascratio; % x-height
+pickup quill;
+%% bottom left stem
+%% right and bottom left stems
+rt x23 = w - pcshiftx - narrowdmin*st; y23 = n1; x24=x23;
+x1 = x23 - 2st; y1 = 1/2n1;
+x2 = x1; y2 = 0;
+draw_downdiamondstem(1,2, 1.0, widedmin, diawd, diang);
+bot y24 = y2c;
+draw_updiamondstem(23, 24, narrowd, narrowdmin, diawd, diang);
+%% curly bit
+x11=x1; top y11 = h;
+lft x12 = pcshiftx; y12 = 1/2[y11,y1];
+draw z11{down}..z12{down}..{down}z1;
+ductus:=false;
+penlabels(1,2,3,4,5,11,13,14,23,26,100);
+endchar; % end "v"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{w}
+% The letter `w'. This is a modern version as the font did not have a W.
+% \begin{macrocode}
+cmchar "TGOTH letter w";
+beginchar("w", 2sb#+hstretch*((5+wided+narrowd)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+pickup quill;
+%% left stem
+lft x1 = pcshiftx + narrowd*stem_width; y1 = y3 = y5 = h;
+x2 = x1; y2 = y4 = y6 = 0;
+z12=1/2[z1,z2];
+draw_updiamondstem(1,12, narrowd, narrowdmin, diawd, diang);
+draw_downdiamondstem(12,2, wided, widedmin, diawd, diang);
+%% right stem
+rt x5 = w -pcshiftx-wided*stem_width; x6 = x5;
+z56 = 1/2[z5,z6];
+draw_updiamondstem(5,56, narrowd, narrowdmin, diawd, diang);
+draw_downdiamondstem(56,6, wided, widedmin, diawd, diang);
+%% middle stem
+z3 = 1/2[z1,z5]; z4 = 1/2[z2,z6]; z34 = 1/2[z3,z4];
+draw_updiamondstem(3,34, narrowd, narrowdmin, diawd, diang);
+draw_downdiamondstem(34,4, wided, widedmin, diawd, diang);
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,11,13,14,33,34,53,16,100);
+endchar; % end "w"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{x}
+% The letter `x'.
+% \begin{macrocode}
+cmchar "TGOTH letter x";
+beginchar("x", 2sb#+hstretch*((4)*stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+path pth[];
+numeric n[];
+numeric st; st := stem_width;
+pcshiftx := sb;
+pickup quill;
+%% upright
+x1 = 1/2w; y1 = h;
+x2 = x1; y2 = 0;
+z12 = 1/2[z1,z2];
+draw_updiamondstem(1,12, 1.5, widedmin,diawd,2/3diang);
+draw_downdiamondstem(12,2, 1.5, widedmin,diawd,2/3diang);
+%% top right bar
+lft x3 = rt x1; top y3 = h;
+rt x4 = w - pcshiftx; y4=y3;
+draw z3--z4;
+%% middle bar
+n1 := h-y3;
+lft x5 = pcshiftx; rt x6 = w - pcshiftx;
+y5 = 1/2h - n1; y6 = 1/2h;
+z56 = 1/2[z5,z6];
+draw z5{pdir}..z56..{pdir}z6;
+%% bottom left
+pickup stylus;
+lft x11 = pcshiftx; bot y11 = 0;
+draw z2e--z11;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,10,25,251,252,40,50,150,60,160,100);
+endchar; % end "x"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{y}
+% The letter `y'. Modern, but with a dot on top.
+% \begin{macrocode}
+cmchar "TGOTH letter y";
+beginchar("y", 2sb#+hstretch*((3 + narrowd+ narrowdmin)*stem_width#),
+ x_height#, desc_depth#);
+adjust_fit(0,0);
+pcshiftx := sb;
+path pth[];
+numeric n[];
+numeric st; st = stem_width;
+pickup quill;
+%% right side
+rt x3 = w - pcshiftx - narrowdmin*st; y3 = h;
+x33 = x3; y33 = 0;
+%%draw_updiamondstem(3,4,narrowd,narrowdmin, diawd,diang);
+%% left side
+x1 = x3 - 2st; y1 = y3;
+x2 = x1; y2 = 0;
+n1 := top y2 - y2;
+draw_updiamondstem(1,2,narrowd,narrowdmin, diawd,diang);
+%% tail
+x11 = rt x2; y11 = top y2;
+x12 = lft x2; y12 = bot y2;
+pickup stylus;
+lft x14 = x1 - 2st; y14 = -d + n1;
+x15 = x14+n1; bot y15 = -d;
+z4 = whatever[z11,z12] = whatever[z3,z33];
+x10=x4; bot y10 = y4;
+draw z10--z11--z12..{down}z14..{-ppdir}z15;
+pickup quill;
+draw_updiamondstem(3,4,narrowd,narrowdmin, diawd,diang);
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,10,11,12,14,15,33,100);
+endchar; % end "y"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{z}
+% The letter `z'.
+% \begin{macrocode}
+cmchar "TGOTH letter z";
+beginchar("z", 2sb#+hstretch*(3stem_width#),
+ x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := sb;
+pickup quill;
+%% top bar ends
+top y12 = h;
+n1 := h - y12;
+lft x1 = pcshiftx; rt x2 = w-pcshiftx;
+%%y1 = y12-n1; y2=y12+n1;
+y1 = y12-n1/2; y2=y12;
+x12 = 1/2[x1,x2];
+pth1 := z1{pdir}..z12{right}..z2{pdir};
+%% bottom bar ends
+bot y34 = 0;
+x3=x1; x4=x2;
+%%y3=y34-n1; y4=y34+n1;
+y3=y34-n1/2; y4=y34;
+x34 = 1/2[x3,x4];
+pth2 := z3{pdir}..z34{right}..z4{pdir};
+%% centre bar
+z5 = 1/2[z1,z3]; z6 = 1/2[z2,z4]; z56 = 1/2[z5,z6];
+pth3 := z5{pdir}..z56{right}..z6{pdir};
+draw pth1; draw pth2; draw pth3; % bars
+draw z2--z3;
+ductus:=false;
+penlabels(1,2,3,4,5,6,10o,10i,20o,20i,100);
+endchar; % end "z"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% The end of this file
+% \begin{macrocode}
+%</min>
+% \end{macrocode}
+%
+%
+% \subsection{The code for capital letters}
+%
+% \thisfont{} `capitals' were drawn with the same pen as for the minuscules.
+% The letters are pretty fancy.
+%
+% \begin{macrocode}
+%<*maj>
+% TGOTHU.MF Program file for Early Gothic `capitals'
+%
+
+% \end{macrocode}
+%
+%
+% \begin{routine}{A}
+% The letter `A'.
+% \begin{macrocode}
+cmchar "TGOTH letter A";
+beginchar("A", 2cap_sb#+hstretch*((7)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pair pr[];
+pickup quill;
+%% stem
+rt x1 = w - pcshiftx - wided*st; y1 = h;
+x2 = x1; y2 = 0;
+z12 = 1/2[z1,z2];
+draw_upcurlstem(1,12);
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+%% leg
+x21 = x1; top y21 = h;
+lft x22 = pcshiftx + widedmin*st; bot y22 = 0;
+draw z21--z22;
+draw (x22-widedmin*st, y22)--(x22+wided*st, y22);
+%% bar
+z13 = z12;
+y16 = y13; z16 = whatever[z21,z22];
+x14 = 1/2[x13,x16]; (z13-z14) = whatever*pdir;
+pickup threequarterquill;
+draw z13--z14;
+draw z14{ppdir}..{left}z16;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,11,12,13,14,15,100);
+endchar; % end "A"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{B}
+% The letter `B'.
+% \begin{macrocode}
+cmchar "TGOTH letter B";
+beginchar("B", 2cap_sb#+hstretch*((7)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+%% stem
+lft x1 = pcshiftx; bot y1 = 0;
+n1 := top y1;
+lft x99 = 2/5w; bot y99 = 12/16h;
+rt x12 = lft x99; top y12 = bot y99;
+x14 = x1; y14 = y12;
+x13 = 1/2[x14,x12]; y13 = 1/2[y12,(h-n1/2)];
+pth1 := z1{pdir}..z12..{left}z13..{-pdir}z14;
+%% stem decoration
+z101=z99;
+z181 = (x99,-h);
+z102 = (x101,y1);
+z112 = 1/2[z101,z102];
+lft x8 = x112; y8 = y112;
+%% lower bowl
+x113 = w-pcshiftx;
+(z113-z112) = whatever*(pdir);
+rt x5 = w-pcshiftx; y5 = 6/16y113;
+x3 = 10/16[x1,x5]; y3 = y1;
+z7 = 2/16[z8,z113];
+pth2 := z1{pdir}..{right}z3..{up}z5..{-pdir}z7--z8;
+
+%% upper bowl
+x10 = 1/2[x7,x5]; y10 = 1/2[y12,y99];
+x19 = 1/2[x99,x10]; top y19 = h;
+pth3 := z8--z7{pdir}..{up}z10..{left}z19..{-pdir}z99;
+%% angled decoration
+
+z105 = 1/4[z102,z112];
+x185 = 2w;
+(z185-z105) = whatever*(pdir);
+z106 = (z105--z185) intersectionpoint pth2;
+
+z107 = 1/4[z112,z101];
+x187 = 2w;
+(z187-z107) = whatever*(pdir);
+z108 = (z107--z187) intersectionpoint pth3;
+
+if ductus:
+ pickup stylus;
+fi
+draw pth1;
+draw pth2;
+draw pth3;
+pickup stylus;
+draw z101--z102;
+draw z105--z106; draw z107--z108;
+
+ductus:=false;
+penlabels(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,99,100);
+endchar; % end "B"
+
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{C}
+% The letter `C'.
+% \begin{macrocode}
+cmchar "TGOTH letter C";
+beginchar("C", 2cap_sb#+hstretch*((5)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+%% bowl
+n1:=w-2pcshiftx; % actual letter width
+n2:=6/5w-2pcshiftx; % width of full bowl
+x1=pcshiftx + 1/2n1; top y1 = h;
+lft x2 = pcshiftx; y2 = 1/2h;
+x3 = x1; bot y3 = 0;
+rt x4 = w-pcshiftx; y4 = 1/4h;
+x24 = x4; y24 = 3/4h;
+pth1 := z24..z1{left}..z2{down}..z3{right}..z4{pdir};
+%% decoration
+z101 = (x1,y1); z102 = (x1,y3);
+z103 = (x1+perpdec, y1); z104 = (x103,y102+thin);
+z105 = 1/2[z101,z102]; z107 = (x105,y105+angdec);
+x185 = -w; (z105-z185) = whatever*(pdir);
+z106 = (z105--z185) intersectionpoint pth1;
+x187 = -w; (z107-z187) = whatever*(pdir);
+z108 = (z107--z187) intersectionpoint pth1;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1; %% bowl
+pickup stylus;
+draw z101--z102; draw z103--z104;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,6,14,16,17,18,100,101,102,103,104,105,106,107,108,185);
+endchar; % end "C"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{D}
+% The letter `D'.
+% \begin{macrocode}
+cmchar "TGOTH letter D";
+beginchar("D", 2cap_sb#+hstretch*((7)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+%% bowl
+lft x1 = pcshiftx; bot y1 = 0;
+rt x5 = w-pcshiftx; y5 = 1/2h;
+x3 = 10/16[x1,x5]; y3 = y1;
+x7 = x3; top y7 = h;
+lft x9 = 2/5w; bot y9 = 12/16h;
+pth1 := z1{pdir}..{right}z3..{up}z5..{left}z7..{-pdir}z9;
+%% stem
+rt x12 = lft x9; top y12 = bot y9;
+x14 = x1; y14 = y12;
+x13 = 1/2[x14,x12]; y13 = 1/2[y12,y7];
+pth2 := z1{pdir}..z12..{left}z13..{-pdir}z14;
+%% vertical decoration
+z101=z9;
+z181 = (x9,-h);
+z102 = ((x101,h/2)--z181) intersectionpoint pth1;
+z103a=(x101+perpdec,h); z103b=(x103a,h/2); z103c=(x103a,-h);
+z103 = (z103a--z103b) intersectionpoint pth1;
+z104 = (z103b--z103c) intersectionpoint pth1;
+%% angled decoration
+z106 = (lft x5, y5);
+x105 = x103; (z106-z105) = whatever*(pdir);
+z107 = (x105, y105+angdec);
+x108a = 2w; (z108a-z107) = whatever*(pdir);
+z108 = (z108a--z107) intersectionpoint pth1;
+if ductus:
+ pickup stylus;
+fi
+draw pth1;
+draw pth2;
+pickup stylus;
+draw z101--z102; draw z103--z104;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,100);
+endchar; % end "D"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{E}
+% The letter `E'.
+% \begin{macrocode}
+cmchar "TGOTH letter E";
+beginchar("E", 2cap_sb#+hstretch*((6)*stem_width#), %% (5) too small
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+%% bowl
+n1:=w-2pcshiftx; % actual letter width
+n2:=6/5w-2pcshiftx; % width of full bowl
+x1=pcshiftx + 1/2n1; top y1 = h;
+lft x2 = pcshiftx; y2 = 1/2h;
+x3 = x1; bot y3 = 0;
+rt x4 = w-pcshiftx; y4 = 1/4h;
+x24 = x4; y24 = 3/4h;
+pth1 := z24..z1{left}..z2{down}..z3{right}..z4{pdir};
+%% decoration
+z101 = (x1,y1); z102 = (x1,y3);
+z103 = (x1+perpdec, y1); z104 = (x103,y102+thin);
+z105 = 1/2[z101,z102]; z107 = (x105,y105+angdec);
+x185 = -w; (z105-z185) = whatever*(pdir);
+z106 = (z105--z185) intersectionpoint pth1;
+x187 = -w; (z107-z187) = whatever*(pdir);
+z108 = (z107--z187) intersectionpoint pth1;
+%% bar
+lft x31 = x103; top y31 = y105;
+rt x32 = w-pcshiftx; y32=y31;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1; %% bowl
+draw z31--z32; %% bar
+pickup stylus;
+draw z101--z102; draw z103--z104;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,6,14,16,17,18,100,105,185,106);
+endchar; % end "E"
+
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{F}
+% The letter `F'.
+% \begin{macrocode}
+cmchar "TGOTH letter F";
+beginchar("F", 2cap_sb#+hstretch*((5)*stem_width#),
+ 5/4caprat*x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+%% stem (1--2) and top bar (21--22)
+lft x1=lft x2=pcshiftx+widedmin*st; y2 = 0;
+top y21 = top y22 = h - (top y2 - bot y2); x22 = w-pcshiftx-st;
+lft x21 = rt x1; top y1 = bot y21;
+z12 = 1/3[z1,z2];
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+draw z1--z12;
+draw z21--z22;
+%% vertical decoration
+z102 = 2/3[z2b,z2c];
+x101 = x102; y101 = y21;
+%% bar
+lft x14 = x101; y14 = y12;
+rt x16 = w-pcshiftx; y16 = y14;
+draw z14--z16;
+z16tr = (rt x16, top y16);
+pickup stylus;
+draw z101--z102;
+%% Other decoration
+%% bottom bar
+rt x201 = x16tr; top y201 = y16tr;
+y202 = y201 - 2st; (z201-z202) = whatever*pdir;
+draw z201--z202;
+%% top bar
+pickup quill;
+z22tb = (rt x22, top y22);
+x22bb - x22 = x22 - x22tb; y22bb - y22 = y22 - y22tb;
+x22c = x22 + st; bot y22c = top y22 + 1/2st;
+x22f = x22; y22f = 1/3[y22c, y22];
+pickup stylus;
+x22br = x22bb; bot y22br = y22bb;
+pth3 := z22br--z22tb..{up}z22c..{-ppdir}z22f;
+draw pth3;
+
+penlabels(1,2,3,4,5,6,7,14,15,16,21,22,100);
+endchar; % end "F"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{G}
+% The letter `G'.
+% \begin{macrocode}
+cmchar "TGOTH letter G";
+beginchar("G", 2cap_sb#+hstretch*((7)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pickup quill;
+%% bar
+top y3=h; n3 := h - top y3;
+lft x1 = pcshiftx; rt x2=w-pcshiftx;
+y1 = y3-n3; y2=y3;
+x3=1/2[x1,x2];
+pth1 := z1{pdir}..z3..z2{pdir};
+%% bowl
+n1 := w; % width of bowl
+n2 := h; % height of bowl
+lft x4 = pcshiftx; y4 = 1/2h;
+x5=x3; bot y5 = 0;
+rt x6 = w-pcshiftx; y6 = 6/16h;
+%% decoration
+x101 = lft x3; y101=y3;
+x181 = x101; y181=-h/4; z191 = 1/2[z101,z181];
+z102=(x101,y5);
+z103 = (x101+3thin, y101); z104 = (x103,y102);
+lft x7 = x104; y7 = 10/16[y104,y103];
+%%pth2 := z3..z4{down}..z5{right}..z6{up}..{-pdir}z7;
+%%pth2 := z2{-pdir}..z3..z4{down}..z5{right}..z6{up}..{-pdir}z7;
+pth2 := z2--z3..z4{down}..z5{right}..z6{up}..{-pdir}z7;
+z105 = (x104,y104+4thin); z107=(x105,y105+3thin);
+x185 = 2w; (z185-z105) = whatever*(pdir);
+z106 = (z105--z185) intersectionpoint pth2;
+z108 = (x106,y106+3thin);
+%% fork
+z2tr = (rt x2, top y2);
+x2a = x2tr; y2a = y2tr + thin;
+x2b = x2a; y2b - y2 = y2 - y2a;
+x2d = x2 - thick; y2d = y2;
+pickup stylus;
+% finish off the fork
+x2c = x2d = x2e;
+top y2e = y2tr; y2c - y2d = y2d - y2e;
+%%filldraw z2d--z2c{right}..z2b--cycle;
+%%filldraw z2d--z2a..{left}z2e--cycle;
+filldraw z2e--z2c{right}..z2b--cycle;
+filldraw z2c--z2a..{left}z2e--cycle;
+pth9 := (rt x2a,y2a)--(rt x2b,y2b)--(rt x2d,y2d)--cycle;
+unfill pth9;
+unfill pth9;
+unfill pth9;
+draw z101--z102; draw z103--z104;
+draw z105--z106; draw z107--z108;
+pickup quill;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+%%draw pth1; %% bar
+draw pth2; %% bowl
+ductus:=false;
+penlabels(1,2,2a,2b,2c,2d,2e,3,4,5,6,11,12,100,101,102,103,104,181,191);
+endchar; % end "G"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{H}
+% The letter `H'.
+% \begin{macrocode}
+cmchar "TGOTH letter H";
+beginchar("H", 2cap_sb#+hstretch*((8)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric st; st := stem_width;
+numeric n[];
+path pth[];
+pickup quill;
+%% left stem
+lft x1=pcshiftx+3st; y1=h;
+x2=x1; y2=0;
+z12 = 1/2[z1,z2];
+draw_upcurlstem(1,12);
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+% start of bowl
+n1 := 12/16h; %% take this as the top of the bowl
+x13=x1; y13=3/4n1;
+rt x3 = w-pcshiftx; y3 = 8/16n1;
+x14 = 8/16[x13,x3]; top y14 = n1;
+x4 = 1/2[x14,x3]; bot y4=0;
+pth1 := z13{pdir}..{right}z14..{down}z3..{-pdir}z4;
+%% bottom curl
+z21 = z4;
+x24 = x3; top y24 = 0;
+x23 = 1/2[x21,x24]; top y23 = bot y24;
+pth2 := z21{-pdir}..z23..{ppdir}z24;
+%% vertical decoration
+z102 = 2/3[z2b,z2c];
+z182 = (x102,h);
+z101 = (z102--z182) intersectionpoint pth1;
+z105 = 1/2[z102,z101];
+x185 = 2w;
+(z185-z105) = whatever*(pdir);
+z106 = (z105--z185) intersectionpoint pth1;
+z107 = (x105, y105-angdec); z187 = (x185, y185-angdec);
+z108 = (z107--z187) intersectionpoint pth1;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1;
+pickup stylus;
+draw pth2;
+draw z101--z102;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,6,13,14,100);
+endchar; % end "H"
+
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{I}
+% The letter `I'.
+% \begin{macrocode}
+cmchar "TGOTH letter I";
+beginchar("I", 2cap_sb#+hstretch*((4+wided)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric st; st := stem_width;
+pickup quill;
+lft x1=lft x2=pcshiftx+3st;
+y1=h; y2=0;
+z12 = 1/2[z1,z2];
+draw_upcurlstem(1,12);
+draw_downdiamondstem(12,2,wided, widedmin,diawd,diang);
+%% vertical decoration
+z102 = 2/3[z2b,z2c];
+pickup stylus;
+x101=x102; top y101 = h;
+draw z101--z102;
+ductus:=false;
+penlabels(1,2,101,102,100);
+endchar; % end "I"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{J}
+% The letter `J'. This letter was not in the script, it being a later invention.
+% \begin{macrocode}
+cmchar "TGOTH letter J";
+beginchar("J", cap_sb#+hstretch*((4+wided)*stem_width#),
+ caprat*x_height#, 1/2caprat*x_height#);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% stem
+lft x1 = pcshiftx+3st; y1 = h;
+x2=x1; y2=-d + (top y1 - bot y1);
+%% bottom hook
+lft x3 = pcshiftx; bot y3 = -d;
+draw_upcurlstem(1,2);
+draw z2{ppdir}..{-pdir}z3;
+%% vertical decoration
+x201 = rt x1;
+x101 = x201 + 2/3wided*st;
+pickup stylus;
+top y101 = h; y201=y101;
+z102=(x101,0);
+draw z201--z101--z102;
+ductus:=false;
+penlabels(1,2,3,101,102,100);
+endchar; % end "J"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{K}
+% The letter `K'.
+% \begin{macrocode}
+cmchar "TGOTH letter K";
+beginchar("K", 2cap_sb#+hstretch*((8+wided)*stem_width#),
+ 5/4caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+path pth[];
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% stem
+n1 = 4/5h; % x-height
+lft x1=lft x2=pcshiftx+3st;
+y1=h; y2=0;
+z12 = 1/2[z1,z2];
+draw_upcurlstem(1,12);
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+%% top arm
+%%z3=(x1,1/2n1);
+x3 = x1; top y3 = 14/16n1;
+z7c = 1/2[z2,z3];
+top y3a = n1; (z3a-z3) = whatever*pdir;
+rt x7a = w - pcshiftx - 2st; (z7a-z7c) = whatever*pdir;
+x4 = 1/2[x3a,x7a]; y4 = y3a;
+x5 = x7a; y5 = 1/2[y3a, y7a];
+z7 = (rt x7c, y7c);
+pth1 := z3{pdir}..z4..z5..{-pdir}z7;
+%% lower arm
+z21=z7;
+z24=(x5+st,y2a);
+x23 = x24; y23 = 1/2[y21,y24];
+rt x25 = w-pcshiftx; bot y25 = 0;
+pth2 := z21{pdir}..{down}z23..z24..{pdir}z25;
+pickup quill;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1; % upper bowl
+draw pth2; % lower half
+%% decorations
+z1tr = (rt x1, top y1);
+pickup stylus;
+z102 = 2/3[z2b,z2c]; x101 = x102; top y101 = h;
+x103 = x1tr; y103 = y101;
+draw z103--z101--z102;
+x105 = x101; y105 = 1/2[y7,y3];
+y185 = 2w; (z185-z105) = whatever*pdir;
+z106 = (z105--z185) intersectionpoint pth1;
+x107 = x105; y107 = y105-angdec;
+x187 = x185; y187-y185 = y107-y105;
+%%z108 = (z107--z187) intersectionpoint pth1;
+draw z105--z106;
+%%draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,13,14,21,22,23,24,25,100);
+endchar; % end "K"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{L}
+% The letter `L'.
+% \begin{macrocode}
+cmchar "TGOTH letter L";
+beginchar("L", 2cap_sb#+hstretch*((7)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric st; st := stem_width;
+pickup quill;
+lft x1=pcshiftx+3st; y1=h;
+x2=x1; bot y2 =0;
+draw_upcurlstem(1,2);
+rt x4 = w-pcshiftx; bot y4 = 0;
+draw z2{right}..{pdir}z4;
+%% vertical decoration
+x201 = rt x1;
+x101 = x201+2/3wided*st;
+pickup stylus;
+top y101 = h; y201 = y101;
+x102 = x101; bot y102=0;
+draw z201--z101--z102;
+ductus:=false;
+penlabels(1,2,3,4,101,102,201,100);
+endchar; % end "L"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{M}
+% The letter `M'.
+% \begin{macrocode}
+cmchar "TGOTH letter M";
+beginchar("M", 2cap_sb#+hstretch*((11)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric st; st := stem_width;
+path pth[];
+pickup quill;
+%%% left part
+lft x301 = pcshiftx+3st; y301 = h;
+x302 = x301; y302 = 0;
+z312 = 1/2[z301,z302];
+draw_upcurlstem(301,312);
+draw_downdiamondstem(312,302,wided,widedmin,diawd,diang);
+
+%% left N stem (and N part)
+%%%lft x1=pcshiftx+3st; y1=h;
+x1 = x301 + 3st; y1 = h;
+x2=x1; y2=0;
+z12 = 1/2[z1,z2];
+%%draw_upcurlstem(1,12);
+%%draw_updiamondstem(1,12,wided,widedmin,diawd,diang);
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+% start of bowl
+x13=x1; y13=3/4h;
+rt x3 = w-pcshiftx; y3 = 8/16h;
+x14 = 8/16[x13,x3]; top y14 = h;
+x4 = 1/2[x14,x3]; bot y4=0;
+pth1 := z13{pdir}..{right}z14..{down}z3..{-pdir}z4;
+%% bottom curl
+z21 = z4;
+x24 = x3; top y24 = 0;
+x23 = 1/2[x21,x24]; top y23 = bot y24;
+pth2 := z21{-pdir}..z23..{ppdir}z24;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1;
+pickup stylus;
+draw pth2;
+pickup quill;
+%% finish off the left part
+x3011 = 1/2[x301,x1]; top y3011 = h;
+z3123 = (x301,3/4h); z123 = (x1,y3123);
+draw z3123--z3011--z123--z12;
+%% vertical decorations
+ %% left part
+z402 = 2/3[z302b,z302c];
+x401 = x402; z401 = whatever[z3123,z3011];
+ %% right part
+z102 = 2/3[z2b,z2c];
+z182 = (x102,h);
+z101 = (z102--z182) intersectionpoint pth1;
+%% angled decorations
+ %% left part
+z406 = z13;
+x405 = x402; (z406-z405) = whatever*pdir;
+z407 = (x405, y405-angdec); z408 = (x406, y406-angdec);
+ %% right part
+z105 = (x102,y405);
+x185 = 2w;
+(z185-z105) = whatever*(pdir);
+z106 = (z105--z185) intersectionpoint pth1;
+z107 = (x105, y105-angdec); z187 = (x185, y185-angdec);
+z108 = (z107--z187) intersectionpoint pth1;
+pickup stylus;
+draw z401--z402;
+draw z405--z406; draw z407--z408;
+draw z101--z102;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,6,13,14,101,102,105,106,107,108,301,302,100);
+endchar; % end "M"
+
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{N}
+% The letter `N'.
+% \begin{macrocode}
+cmchar "TGOTH letter N";
+beginchar("N", 2cap_sb#+hstretch*((8)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric st; st := stem_width;
+path pth[];
+pickup quill;
+%% left stem
+lft x1=pcshiftx+3st; y1=h;
+x2=x1; y2=0;
+z12 = 1/2[z1,z2];
+draw_upcurlstem(1,12);
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+% start of bowl
+x13=x1; y13=3/4h;
+rt x3 = w-pcshiftx; y3 = 8/16h;
+x14 = 8/16[x13,x3]; top y14 = h;
+x4 = 1/2[x14,x3]; bot y4=0;
+pth1 := z13{pdir}..{right}z14..{down}z3..{-pdir}z4;
+%% bottom curl
+z21 = z4;
+x24 = x3; top y24 = 0;
+x23 = 1/2[x21,x24]; top y23 = bot y24;
+pth2 := z21{-pdir}..z23..{ppdir}z24;
+%% vertical decoration
+z102 = 2/3[z2b,z2c];
+z182 = (x102,h);
+z101 = (z102--z182) intersectionpoint pth1;
+z105 = 1/2[z102,z101];
+x185 = 2w;
+(z185-z105) = whatever*(pdir);
+z106 = (z105--z185) intersectionpoint pth1;
+z107 = (x105, y105-angdec); z187 = (x185, y185-angdec);
+z108 = (z107--z187) intersectionpoint pth1;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1;
+pickup stylus;
+draw pth2;
+draw z101--z102;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,6,13,14,100);
+endchar; % end "N"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{O}
+% The letter `O'.
+% \begin{macrocode}
+cmchar "TGOTH letter O";
+beginchar("O", 2cap_sb#+hstretch*((7)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+path pth[];
+pickup quill;
+lft x1=pcshiftx; rt x3=w-pcshiftx; y1=y3=h/2;
+x2=x4=w/2; top y2=h; bot y4=0;
+pth1 := z1..z2..z3..z4..cycle;
+%% vertical decoration
+z101=z2; z102=z4;
+z103 = (x101-perpdec, y101); z104 = (x103,y102);
+%% angled decoration
+z108 = (lft x3,y3);
+x107 = x101; (z108-z107) = whatever*(pdir);
+z105 = (x107, y107+angdec);
+x106a = 2w; (z106a-z105) = whatever*(pdir);
+z106 = (z105--z106a) intersectionpoint pth1;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1;
+pickup stylus;
+draw z101--z102; draw z103--z104;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,100);
+endchar; % end "O"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{P}
+% The letter `P'.
+% \begin{macrocode}
+cmchar "TGOTH letter P";
+beginchar("P", 2cap_sb#+hstretch*((8)*stem_width#),
+ caprat*x_height#, 1/2caprat*x_height#);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+path pth[];
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% stem
+lft x1=lft x2=pcshiftx+3st;
+y1=h; y2=-d;
+z12 = 1/2[z1,z2];
+draw_upcurlstem(1,12);
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+%% vertical decoration
+z1tr = (rt x1, top y1);
+z102 = 2/3[z2b,z2c];
+pickup stylus;
+x101 = x102; top y101 = h;
+x103 = x1tr; y103 = y101;
+draw z103--z101--z102;
+pickup quill;
+%% bowl
+lft x22 = x101; top y22 = h;
+x21 = x1; (z22-z21) = whatever*pdir;
+rt x24 = w - pcshiftx; y24 = 1/2h;
+x25 = 1/2[x22,x24]; bot y25 = 0;
+pth1 := z21--z22{down}..{down}z24..{-pdir}z25;
+z31 = z25;
+lft x33 = pcshiftx; bot y33 = 0;
+pth2 := z33{pdir}..{right}z31;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1; draw pth2;
+%% angled decoration
+x105 = x101; y105 = 1/3h;
+x185 = 2w;
+(z185-z105) = whatever*pdir;
+z106 = (z105--z185) intersectionpoint pth1;
+z107 = (x105,y105-angdec);
+x187 = x185; y107 - y105 = y187 - y185;
+z108 = (z107--z187) intersectionpoint pth1;
+pickup stylus;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,100);
+endchar; % end "P"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{Q}
+% The letter `Q'.
+% \begin{macrocode}
+cmchar "TGOTH letter Q";
+beginchar("Q", 2cap_sb#+hstretch*((8)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+path pth[];
+pickup quill;
+lft x1=pcshiftx; rt x3=w-pcshiftx-stem_width; y1=y3=h/2;
+x2=x4=w/2; top y2=h; bot y4=0;
+pth1 := z1..z2..z3..z4..cycle;
+%% tail
+pth2 := z1..z4..z3;
+z11 = directionpoint pdir of pth2;
+rt x13 = w-pcshiftx; bot y13 = 0;
+pth3 := z11{pdir}..{pdir}z13;
+%% vertical decoration
+z101=z2; z102=z4;
+z103 = (x101-perpdec, y101); z104 = (x103,y102);
+%% angled decoration
+z108 = (lft x3,y3);
+x107 = x101; (z108-z107) = whatever*(pdir);
+z105 = (x107, y107+angdec);
+x106a = 2w; (z106a-z105) = whatever*(pdir);
+z106 = (z105--z106a) intersectionpoint pth1;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1; draw pth3;
+pickup stylus;
+draw z101--z102; draw z103--z104;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,100);
+endchar; % end "Q"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{R}
+% The letter `R'.
+% \begin{macrocode}
+cmchar "TGOTH letter R";
+beginchar("R", 2cap_sb#+hstretch*((8+wided)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+path pth[];
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% stem
+n1 = h; % x-height
+lft x1=lft x2=pcshiftx+3st;
+y1=h; y2=0;
+z12 = 1/2[z1,z2];
+draw_upcurlstem(1,12);
+draw_downdiamondstem(12,2,wided,widedmin,diawd,diang);
+%% top arm
+%%z3=(x1,1/2n1);
+x3 = x1; top y3 = 14/16n1;
+z7c = 1/2[z2,z3];
+top y3a = n1; (z3a-z3) = whatever*pdir;
+rt x7a = w - pcshiftx - 2st; (z7a-z7c) = whatever*pdir;
+x4 = 1/2[x3a,x7a]; y4 = y3a;
+x5 = x7a; y5 = 1/2[y3a, y7a];
+z7 = (rt x7c, y7c);
+pth1 := z3{pdir}..z4..z5..{-pdir}z7;
+%% lower arm
+z21=z7;
+z24=(x5,y2a);
+x23 = x24; y23 = 1/2[y21,y24];
+rt x25 = w-pcshiftx; bot y25 = 0;
+pth2 := z21{pdir}..{down}z23..z24..{pdir}z25;
+pickup quill;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1; % upper bowl
+draw pth2; % lower half
+%% decorations
+z1tr = (rt x1, top y1);
+pickup stylus;
+z102 = 2/3[z2b,z2c]; x101 = x102; top y101 = h;
+x103 = x1tr; y103 = y101;
+draw z103--z101--z102;
+x105 = x101; y105 = 1/2[y7,y3];
+y185 = 2w; (z185-z105) = whatever*pdir;
+z106 = (z105--z185) intersectionpoint pth1;
+x107 = x105; y107 = y105-angdec;
+x187 = x185; y187-y185 = y107-y105;
+%%z108 = (z107--z187) intersectionpoint pth1;
+draw z105--z106;
+%%draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,13,14,21,22,23,24,25,100);
+endchar; % end "R"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{S}
+% The letter `S'.
+% \begin{macrocode}
+cmchar "TGOTH letter S";
+beginchar("S", 2cap_sb#+hstretch*((8)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+pickup threequarterquill;
+%% top
+n1 := 1;
+lft x1 = pcshiftx + n1*st; top y1 = h;
+rt x3 = w - pcshiftx; y3 = y1;
+x2 = 1/2[x1,x3]; top y2 = y1;
+pth1 := z1..z2..{pdir}z3;
+draw pth1;
+%% bottom
+lft x4 = pcshiftx; bot y4 = 0;
+rt x6 = w -pcshiftx - n1*st; y6 = y4;
+x5 = 1/2[x4,x6]; bot y5 = y4;
+pth2 := z4{pdir}..z5..z6;
+draw pth2;
+%% top path
+z100 = (1/2w, 1/2h);
+z11 = z1; z15 = z6;
+x13 = x100; y13 = y100 + st;
+pth3 := z11..{right}z13{right}..z15;
+draw pth3;
+%% bottom path
+z21 = z11; z25 = z6;
+x23 = x100; y100 - y23 = y13 - y100;
+pth4 := z21..{right}z23{right}..z25;
+draw pth4;
+%% decorations
+ %% top
+z101 = (x2+angdec,y2); y181 = 0; (z101-z181) = whatever*pdir;
+z102 = (z101--z181) intersectionpoint pth3;
+z103 = (x101-angdec, y101); x183-x181 = x103-x101; y183 = 0;
+z104 = (z103--z183) intersectionpoint pth3;
+ %% bottom
+z201 = (x5,y5); y281 = h; (z201-z281) = whatever*pdir;
+z202 = (z201--z281) intersectionpoint pth4;
+z203 = (x201-angdec, y201); x283-x281 = x203-x201; y283 = h;
+z204 = (z203--z283) intersectionpoint pth4;
+pickup stylus;
+draw z101--z102; draw z103--z104;
+draw z201--z202; draw z203--z204;
+
+
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,11,17,20,26,27,28,100,101,102,103,104,201,202,203,204);
+endchar; % end "S"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{T}
+% The letter `T'.
+% \begin{macrocode}
+cmchar "TGOTH letter T";
+beginchar("T", 2cap_sb#+hstretch*((7)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pickup quill;
+%% bar
+top y3=h; n3 := h - top y3;
+lft x1 = pcshiftx; rt x2=w-pcshiftx;
+y1 = y3-n3; y2=y3;
+x3=1/2[x1,x2];
+pth1 := z1{pdir}..z3..z2{pdir};
+%% bowl
+n1 := w; % width of bowl
+n2 := h; % height of bowl
+lft x4 = pcshiftx; y4 = 1/2h;
+x5=x3; bot y5 = 0;
+rt x6 = w-pcshiftx; y6 = 6/16h;
+%%pth2 := z3..z4{down}..z5{right}..z6{pdir};
+%% decoration
+x101 = lft x3; y101=y3;
+x181 = x101; y181=-h/4; z191 = 1/2[z101,z181];
+%%z102 = z191--z181 intersectionpoint pth2; %%% ???? NO INTERSECTION!!!!!!
+z102=(x101,y5);
+z103 = (x101+3thin, y101); z104 = (x103,y102);
+lft x7 = x104; y7 = 10/16[y104,y103];
+pth2 := z3..z4{down}..z5{right}..z6{up}..{-pdir}z7;
+z105 = (x104,y104+4thin); z107=(x105,y105+3thin);
+x185 = 2w; (z185-z105) = whatever*(pdir);
+z106 = (z105--z185) intersectionpoint pth2;
+z108 = (x106,y106+3thin);
+pickup stylus;
+draw z101--z102; draw z103--z104;
+draw z105--z106; draw z107--z108;
+pickup quill;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw pth1; %% bar
+draw pth2; %% bowl
+ductus:=false;
+penlabels(1,2,3,4,5,6,11,12,100,101,102,103,104,181,191);
+endchar; % end "T"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{U}
+% The letter `U'.
+% \begin{macrocode}
+cmchar "TGOTH letter U";
+beginchar("U", 2cap_sb#+hstretch*((8)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+pcshiftx := cap_sb;
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pickup quill;
+%% stem tops
+lft x1 = pcshiftx + 3st; y1 = h;
+rt x3 = w - pcshiftx - widedmin*st; y3 = h;
+% bottom of bowl
+x7 = x1 - 3/2st; bot y7 = 0;
+rt x9 = lft x3; bot y9 = 0;
+pth1 := z7{pdir}..{pdir}z9;
+draw pth1;
+%% stem bottoms
+z2 = (z1 -- (x1,-h)) intersectionpoint pth1;
+x4 = x3; bot y4 = top y9;
+draw_upcurlstem(1,2);
+draw_updiamondstem(3,4,wided,widedmin,diawd,diang);
+%% decorations
+z1tr = (rt x1, top y1);
+pickup stylus;
+z99 = 2/3[z3b,z3c];
+x101 - x1 = x3 - x99; top y101 = h;
+x102 = x101; y102 = y2;
+x103 = x1tr; y103 = y101;
+draw z103--z101--z102;
+x105 = x101; y105 = 1/3h;
+x106 = x3; (z106-z105) = whatever*pdir;
+z107 = (x105, y105-angdec); x108 = x106; y108-y106 = y107-y105;
+draw z105--z106; draw z107--z108;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,11,13,14,16,33,100);
+endchar; % end "U"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{V}
+% The letter `V'.
+% \begin{macrocode}
+cmchar "TGOTH letter V";
+beginchar("V", 2cap_sb#+hstretch*((8)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+%% left stem top
+lft x1 = pcshiftx + 3st; y1 = h;
+% bottom of bowl
+x7 = x1 - 3/2st; bot y7 = 0;
+x9 = w/2; bot y9 = 0;
+pth1 := z7{pdir}..{right}z9;
+draw pth1;
+%% left stem bottom
+x81 = x1; y81 = - h;
+z2 = (z1--z81) intersectionpoint pth1;
+draw_upcurlstem(1,2);
+%% right stem
+z6 = z9;
+rt x5 = w - pcshiftx; top y5 = 3/4h;
+x3 = 1/2[rt x1, lft x5];
+x4 = 1/2[x3,x5]; top y4 = h;
+y3 = 1/2[y4,y5];
+pth2 := z6{pdir}..{up}z5..{left}z4..{-pdir}z3;
+draw pth2;
+pth3 := pth1 & pth2;
+%% decoration
+z1tr = (rt x1, top y1);
+x101 = x1tr + 2/3wided*st;
+pickup stylus;
+top y101 = h;
+z103 = (x1tr,y101);
+z181 = (x101,-w);
+z102 = (z101--z181) intersectionpoint pth3;
+draw z103--z101--z102;
+x105 = x101; y105 = 1/3[y102,y101];
+x185 = 2w; (z185-z105) = whatever*pdir;
+z106 = (z105--z185) intersectionpoint pth2;
+z107 = (x105, y105-angdec);
+x187 = x185; y187-y185 = y107-y105;
+z108 = (z107--z187) intersectionpoint pth2;
+draw z105--z106; draw z107--z108;
+
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+
+ductus:=false;
+penlabels(1,2,3,4,5,11,13,14,23,26,100);
+endchar; % end "V"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{W}
+% The letter `W'. This is a modern version as the font did not have a W.
+% \begin{macrocode}
+cmchar "TGOTH letter W";
+beginchar("W", 2cap_sb#+hstretch*((12)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+%% top of stems
+lft x1 = pcshiftx + 3st; y1 = h;
+rt x999 = w - pcshiftx;
+x3 = 1/2[x1,x999]; y3 = h;
+%% bowl bottoms
+x21 = x1 - 3/2st; bot y21 = 0;
+rt x23 = lft x3; bot y23 = 0;
+pth1 := z21{pdir}..z23;
+draw pth1;
+lft x31 = rt x23; bot y31 = top y23;
+x33 = 1/2[x31,x999]; bot y33 = 0;
+pth2 := z31{pdir}..z33;
+draw pth2;
+%% bottom of stems
+z2 = (z1--(x1,0)) intersectionpoint pth1;
+x4 = x3; bot y4 = top y23;
+draw_upcurlstem(1,2);
+draw_updiamondstem(3,4,wided,widedmin,diawd,diang);
+%% right V stem
+z16 = z33;
+x15 = x999; top y15 = 3/4h;
+x13 = 1/2[rt x3, lft x15];
+x14 = 1/2[x13,x15]; top y14 = h;
+y13 = 1/2[y14,y15];
+pth3 = z16{pdir}..{up}z15..{left}z14..{-pdir}z13;
+draw pth3;
+%% decorations
+z1tr = (rt x1, top y1);
+z3tr = (rt x3, top y3);
+pickup stylus;
+%% for U
+z99 = 2/3[z3b,z3c];
+x101 - x1 = x3 - x99; top y101 = h;
+x102 = x101; y102 = y2;
+x103 = x1tr; y103 = y101;
+draw z103--z101--z102;
+x105 = x101; y105 = 1/3h;
+x106 = x3; (z106-z105) = whatever*pdir;
+z107 = (x105, y105-angdec); x108 = x106; y108-y106 = y107-y105;
+draw z105--z106; draw z107--z108;
+%% for V
+
+x301 = x3tr+2/3wided*st; top y301 = y3e;
+z381 = (x301,-w);
+z302 = (z301--z381) intersectionpoint pth2;
+draw z3e--z301--z302;
+x305 = x301; y305 = 1/3[y302,y301];
+x385 = 2w; (z385-z305) = whatever*pdir;
+z306 = (z305--z385) intersectionpoint pth3;
+z307 = (x305, y305-angdec);
+x387 = x385; y387-y385 = y307-y305;
+z308 = (z307--z387) intersectionpoint pth3;
+draw z305--z306; draw z307--z308;
+
+
+
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,11,13,14,33,34,53,16,100);
+endchar; % end "W"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{X}
+% The letter `X'.
+% \begin{macrocode}
+cmchar "TGOTH letter X";
+beginchar("X", 2cap_sb#+hstretch*((8)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+path pth[];
+numeric n[];
+numeric st; st := stem_width;
+pcshiftx := cap_sb;
+pickup quill;
+%% center stem
+lft x1 = lft x2 = pcshiftx + 3st;
+y1 = 3/4h; y2 = 1/4h;
+draw z1--z2;
+%% top right
+z21 = z1; top y22 = h; (z22-z21) = whatever*pdir;
+rt x24 = w-pcshiftx; y24 = y21;
+pth1 := z21--z22{-ppdir}..{pdir}z24;
+draw pth1;
+%% bottom right
+z31 = z2;
+rt x33 = w-pcshiftx; bot y33 = 0;
+pth2 := z31{-ppdir}..{pdir}z33;
+draw pth2;
+%% bottom left
+z41 = z2;
+bot y43 = -1/4h; (z41-z43) = whatever*pdir;
+x45 = x43 + st; y45=y43;
+pth3 := z41--z43{-pdir}..{pdir}z45;
+pickup stylus;
+draw pth3;
+pickup quill;
+%% top left
+x11 = x1; y11 = h;
+draw_upcurlstem(11,1);
+%% decoration
+x81 = rt x1;
+pickup stylus;
+x101 = x102 = x81 + 2/3wided*st;
+z101 = whatever[z1,z22];
+z102 = (z101--(x101,0)) intersectionpoint pth2;
+draw z101--z102;
+pickup quill;
+%% middle arms
+z120 = 1/2[z1,z2];
+z51 = z120;
+lft x53 = pcshiftx; top y53 = y51;
+x52 = 1/2[x51,x53]; y52 = y51;
+pth5 := z51--z52{left}..{-pdir}z53;
+draw pth5;
+lft x61 = x101; y61 = y120;
+rt x63 = w-pcshiftx; bot y63 = y61;
+x62 = 1/2[x61,x63]; y62 = y61;
+pth6 := z61--z62{right}..{pdir}z63;
+draw pth6;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,10,25,251,252,40,50,51,52,53,61,62,63,101,102,150,60,160,100);
+endchar; % end "X"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{Y}
+% The letter `Y'.
+% \begin{macrocode}
+cmchar "TGOTH letter Y";
+beginchar("Y", 2cap_sb#+hstretch*((8)*stem_width#),
+ caprat*x_height#, 1/2caprat*x_height#);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+%% stem tops
+lft x1 = pcshiftx + 3st; y1 = h;
+rt x3 = w - pcshiftx - widedmin*st; y3 = h;
+% bottom of bowl
+x7 = x1 - 3/2st; bot y7 = 0;
+x9 = 1/2[x1,x3]; bot y9 = 0;
+pth1 := z7{pdir}..{right}z9;
+draw pth1;
+%% left stem bottom
+x81 = x1; y81 = - h;
+z2 = (z1--z81) intersectionpoint pth1;
+draw_upcurlstem(1,2);
+%% right stem
+x4 = x3; y4 = 0;
+x5 = x4; y5 = -1/4d;
+lft x6 = x9; bot y6 = -d;
+draw_updiamondstem(3,4,wided,widedmin,diawd,diang);
+draw z6{pdir}..{up}z5--z4;
+z3cd = 1/2[z3c,z3d];
+pth2 = z5--z3a--z3cd;
+%% fill bowl bottom
+x91 = x3; (z91-z9) = whatever*pdir;
+draw z9--z91;
+
+%% decoration
+z1tr = (rt x1, top y1);
+x101 = x1tr + 2/3wided*st;
+pickup stylus;
+top y101 = h;
+z103 = (x1tr,y101);
+z181 = (x101,-w);
+z102 = (z101--z181) intersectionpoint pth1;
+draw z103--z101--z102;
+x105 = x101; y105 = 1/3[y102,y101];
+x185 = 2w; (z185-z105) = whatever*pdir;
+z106 = (z105--z185) intersectionpoint pth2;
+z107 = (x105, y105-angdec);
+x187 = x185; y187-y185 = y107-y105;
+z108 = (z107--z187) intersectionpoint pth2;
+draw z105--z106; draw z107--z108;
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,10,100,101,102,181);
+endchar; % end "Y"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{Z}
+% The letter `Z'.
+% \begin{macrocode}
+cmchar "TGOTH letter Z";
+beginchar("Z", 2cap_sb#+hstretch*((5)*stem_width#),
+ caprat*x_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+path pth[];
+pcshiftx := cap_sb;
+pickup quill;
+%% top bar ends
+top y12 = h;
+n1 := h - y12;
+lft x1 = pcshiftx; rt x2 = w-pcshiftx-perpdec;
+%%y1 = y12-n1; y2=y12+n1;
+y1 = y12-n1/2; y2=y12;
+x12 = 1/2[x1,x2];
+pth1 := z1{pdir}..z12{right}..z2{pdir};
+x102 = rt x2; y102 = top y2; x202 = x102+perpdec; y202=y102;
+%% bottom bar ends
+bot y34 = 0;
+x3=x1+perpdec; rt x4= w-pcshiftx;
+y3=y34-n1/2; y4=y34;
+x34 = 1/2[x3,x4];
+pth2 := z3{pdir}..z34{right}..z4{pdir};
+x203 = lft x3; y203 = bot y3; x103 = x203-perpdec; y103=y203;
+%% centre bar
+z5 = (x1,1/2[y1,y3]); z6 = (x4,1/2[y2,y4]); z56 = 1/2[z5,z6];
+pth3 := z5{pdir}..z56{right}..z6{pdir};
+draw pth1; draw pth2; % bars
+draw pth3;
+%% decorations
+pickup stylus;
+draw z102--z103; draw z202--z203;
+unfill z102--z103--z203--z202--cycle;
+draw z102--z103; draw z202--z203;
+ductus:=false;
+penlabels(1,2,3,4,5,6,10o,10i,20o,20i,100);
+endchar; % end "Z"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+%
+% The end of this file
+% \begin{macrocode}
+%</maj>
+% \end{macrocode}
+%
+%
+%
+% \subsection{The punctuation file}
+%
+% The main punctuation marks are defined in this file.
+%
+% \begin{macrocode}
+%<*punct>
+% TGOTHPUNCT.MF This file contains punctuation marks
+
+% \end{macrocode}
+%
+%
+% \begin{routine}{!}
+% The `!' character, which had not been invented at this time.
+% \begin{macrocode}
+
+cmchar "Exclamation mark";
+beginchar("!", 2sb#+hstretch*(thick#+trijut#),
+ asc_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+pickup quill;
+x1=w/2; top y1 = h;
+z3=(x1, 1/2dot_size);
+z2=(x1, y3+3/2dot_size);
+draw z1--z2;
+draw_pdot(3,dot_size);
+penlabels(1,2,3);
+
+endchar; % end of "!"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{?}
+% The `?' character, which had not been invented at this time.
+% \begin{macrocode}
+
+cmchar "Question mark";
+beginchar("?", 2sb#+hstretch*((3+wided+widedmin)*stem_width#),
+ asc_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+path pth[];
+pickup quill;
+n1 := w-2pcshiftx; % actual character width
+n2 := 1/3h; % height of top bowl
+n3 := n2; % height of bottom bowl
+z5=(1/2w,1/2dot_size);
+x45 = x5; y45=y5+3/2dot_size;
+lft x1 = pcshiftx; y1 = 3/4h;
+x2 = 1/2w; top y2 = h;
+rt x3 = w-pcshiftx; y3 = 11/16h;
+
+x4 = x45;
+(z3-z4) = whatever*pdir;
+
+%%ductus:= true;
+if ductus:
+ pickup stylus;
+fi
+%%draw z1..z2{right}..z3{down}..z4{down};
+draw z1--z2--z3--z4--z45;
+draw_pdot(5, dot_size);
+penlabels(1,2,3,4,45,5);
+endchar; % end of "?"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{,}
+% The `,' character.
+% \begin{macrocode}
+
+cmchar "Comma";
+beginchar(",",2sb#+hstretch*(comma_width#+dot_size#),x_height#,0);
+adjust_fit(0,0);
+pcshiftx:=sb;
+x1=w-pcshiftx-(0.5hstretch*dot_size); y1=1/2dot_size;
+draw_pcomma(1,dot_size,comma_width);
+penlabels(1);
+endchar; % end of ","
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{.}
+% The `.' character.
+% \begin{macrocode}
+
+cmchar "Period";
+beginchar(".",2sb#+hstretch*(dot_size#),x_height#,0);
+pcshiftx:=sb;
+z1=(w/2, 1/2dot_size);
+draw_pdot(1,dot_size);
+penlabels(1);
+endchar; % end of "."
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{:}
+% The `:' character.
+% \begin{macrocode}
+
+cmchar "Colon";
+beginchar(":",2sb#+hstretch*(dot_size#),x_height#,0);
+pcshiftx:=sb;
+x1=x2=w/2; y1=3/4h; y2=1/4h;
+draw_pdot(1,dot_size);
+draw_pdot(2,dot_size);
+penlabels(1,2);
+endchar; % end ":"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{;}
+% The `;' character.
+% \begin{macrocode}
+
+cmchar "Semicolon";
+beginchar(";",2sb#+hstretch*(comma_width#+dot_size#),x_height#,0);
+adjust_fit(0,0);
+pcshiftx:=sb;
+x1=x2=w-pcshiftx-(0.5hstretch*dot_size); y1=3/4h; y2=1/2dot_size;
+draw_pdot(1,dot_size);
+draw_pcomma(2,dot_size,comma_width);
+penlabels(1,2);
+endchar; % end of ";"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{'}
+% The `'' character.
+% \begin{macrocode}
+
+cmchar "Apostrophe";
+beginchar("'",2sb#+hstretch*(comma_width#+dot_size#),4/3x_height#,0);
+adjust_fit(0,0);
+pcshiftx:=sb;
+x1=w-pcshiftx-(0.5hstretch*dot_size); y1=h;
+draw_pcomma(1,dot_size,comma_width);
+penlabels(1);
+endchar; % end of "'"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{`}
+% The ``' character.
+% \begin{macrocode}
+
+cmchar "Reverse apostrophe";
+beginchar("`",2sb#+hstretch*(comma_width#+dot_size#),4/3x_height#,0);
+adjust_fit(0,0);
+pcshiftx:=sb;
+x1=pcshiftx+(0.5hstretch*dot_size); y1=h;
+draw_plq(1,dot_size,comma_width);
+penlabels(1);
+endchar; % end of "`"
+
+% \end{macrocode}
+% \end{routine}
+%
+% The end of this file.
+% \begin{macrocode}
+%</punct>
+% \end{macrocode}
+%
+%
+% \subsection{The ligatures and dashes file}
+%
+% The ligatured letters, punctuation marks and dashes are defined in this file.
+% \begin{macrocode}
+%<*lig>
+% TGOTHLIG.MF Uncial ligatured letters, punctation and dashes
+
+% \end{macrocode}
+% First the ligtables.
+% \begin{macrocode}
+
+ligtable "`": "`"=:oct"134";
+ligtable "'": "'"=:oct"042"; %% , "?" kern 2u#, "!" kern 2u#;
+
+ligtable "-": "-"=:oct"173";
+ligtable oct"173": "-"=:oct"174";
+
+%%%%ligtable "c": "t"=:oct"014";
+ligtable "s": "t"=:oct"015";
+
+% \end{macrocode}
+%
+%
+%
+% \begin{routine}{st}
+% The `st' ligature.
+% \begin{macrocode}
+
+cmchar "TGOTH st ligature";
+beginchar(oct"015", 2sb#+hstretch*((1 + narrowd + 3)*stem_width#),
+ asc_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+n1 := h/ascratio; % x-height
+pickup quill;
+%% the S (long)
+lft x1 = pcshiftx + narrowd*st;
+x2 = x1; y2 = 0; y1 = h - (top y2 - bot y2);
+z12 = 1/2[z1,z2];
+draw_updiamondstem(1,12,narrowd, 1/4narrowdmin, diawd, diang);
+draw_downdiamondstem(12,2,narrowd, narrowdmin, diawd, diang);
+%% the T
+%% bar
+lft x23 = rt x1 + pcshiftx; top y23 = n1;
+rt x24 = w-pcshiftx; y24=y23;
+draw z23--z24;
+%% stem
+lft x21 = rt x23; top y21 = h;
+x22 = x21; y22 = 0;
+draw_downdiamondstem(21,22,narrowd,narrowdmin,diawd,diang);
+%% the ligature
+x11=x1; top y11=h;
+draw z12--z11--z21;
+ductus:=false;
+penlabels(1,2,3,4,5,11,21,22,23,24,100);
+%% end "t"
+endchar; %% end st ligature
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{''}
+% The `''' ligature.
+% \begin{macrocode}
+
+cmchar "Closing quotes";
+beginchar(oct"042",2sb#+hstretch*(comma_width#+3dot_size#),4/3x_height#,0);
+adjust_fit(0,0);
+pcshiftx:=sb;
+x1=w-pcshiftx-(0.5hstretch*dot_size); y1=y2=h;
+x2=x1-(2hstretch*dot_size);
+draw_pcomma(1,dot_size,comma_width); % right
+draw_pcomma(2,dot_size,comma_width); % left
+penlabels(1,2);
+endchar; % end of "''"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{``}
+% The ```' ligature.
+% \begin{macrocode}
+
+cmchar "Opening quotes";
+beginchar(oct"134",2sb#+hstretch*(comma_width#+3dot_size#),4/3x_height#,0);
+adjust_fit(0,0);
+pcshiftx:=sb;
+x1=pcshiftx+(0.5hstretch*dot_size); y1=y2=h;
+x2=x1+(2hstretch*dot_size);
+draw_plq(1,dot_size,comma_width); % left
+draw_plq(2,dot_size,comma_width); % right
+penlabels(1,2);
+endchar; % end of "``"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{-}
+% The `-' (hyphen) character.
+% \begin{macrocode}
+
+cmchar "Hyphen";
+beginchar("-",sb#+hstretch*((2)*stem_width#),x_height#,0);
+adjust_fit(0,0);
+pcshiftx:=sb/2;
+pickup threequarterquill;
+lft x21=pcshiftx; rt x22=w-pcshiftx; y21=y22=1/2h;
+draw z21--z22;
+%%draw_roundserif(21,22,srad); draw_flatserif(22,21,srad);
+penlabels(1,2);
+endchar; % end of "-"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{--}
+% The `--' (en-dash) ligature.
+% \begin{macrocode}
+
+cmchar "En dash";
+beginchar(oct"173",sb#+hstretch*((3)*stem_width#),x_height#,0);
+adjust_fit(0,0);
+pcshiftx:=sb/2;
+pickup threequarterquill;
+lft x21=pcshiftx; rt x22=w-pcshiftx; y21=y22=1/2h;
+draw z21--z22;
+%%draw_roundserif(21,22,srad); draw_flatserif(22,21,srad);
+penlabels(1,2);
+endchar; % end of "--"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{---}
+% The `---' (em dash) ligature. The em dash is twice the width of the en dash.
+% \begin{macrocode}
+
+cmchar "Em dash";
+beginchar(oct"174",sb#+hstretch*((6)*stem_width#),x_height#,0);
+adjust_fit(0,0);
+pcshiftx:=sb/2;
+pickup threequarterquill;
+lft x21=pcshiftx; rt x22=w-pcshiftx; y21=y22=1/2h;
+draw z21--z22;
+%%draw_roundserif(21,22,srad); draw_flatserif(22,21,srad);
+penlabels(1,2);
+endchar; % end of "---"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{&}
+% The ampersand (which is really an `et' ligature).
+% In this case, a `t' with one thin bar.
+% \begin{macrocode}
+
+cmchar "TGOTH ampersand";
+beginchar("&", 2sb#+hstretch*((7/2)*stem_width#), asc_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+pickup quill;
+%% bar
+lft x3 = pcshiftx; top y1 = h;
+top y3 = bot y1;
+rt x4 = w-pcshiftx; y4=y3;
+draw z3--z4;
+%% stem
+lft x1 = rt x3;
+x2 = x1; y2 = 0;
+draw_downdiamondstem(1,2,wided,widedmin,diawd,diang);
+%% E bars
+n1 = 1/2[y3,y2a] + 1/2angdec;
+pickup halfquill;
+lft x11 = pcshiftx; rt x12 = w-pcshiftx;
+%y11=y12=n1;
+y11 = y12 = 1/2h;
+x13 = x11; x14=x12; y13 = y14 = n1-angdec;
+draw z11--z12;
+%%draw z13--z14;
+ductus:=false;
+penlabels(1,2,3,4,5,6,11,12,13,14,100);
+endchar; % end "&"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% The end of this file.
+% \begin{macrocode}
+%</lig>
+% \end{macrocode}
+%
+% \subsection{The digits file}
+%
+% These are arabic digits in the style of the book-hand. They are a
+% modern invention.
+%
+% \begin{macrocode}
+%<*dig>
+% TGOTHDIG.MF Program file for Early Gothic digits
+%
+
+% \end{macrocode}
+%
+%
+%
+% \begin{routine}{1}
+% The digit `1'.
+% \begin{macrocode}
+cmchar "TGOTH digit 1";
+beginchar("1", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+pickup quill;
+x1 = x2 = 1/2w; y1 = h; y2 = 0;
+z12 = 1/2[z1,z2];
+draw_updiamondstem(1,12,1/2,1/2,diawd,diang);
+draw_downdiamondstem(12,2,1/2,1/2,diawd,diang);
+penlabels(1,2,100);
+endchar; % end "1"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{2}
+% The digit `2'.
+% \begin{macrocode}
+cmchar "TGOTH digit 2";
+beginchar("2", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+pcshiftx := u;
+numeric st; st := stem_width;
+numeric n[];
+n1 := 1/2st;
+pickup quill;
+% stem
+lft x1=pcshiftx+n1; top y1=h-2n1;
+rt x3=w-pcshiftx-n1; y3=3/4h;
+x2=1/2[x1,x3]; top y2= h;
+% foot
+x5= lft x1; bot y5=0;
+x6= rt x3; y6=y5;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw_wave(5,6,thin); % foot
+draw z1--z2--z3--z5wl; % curve
+ductus:=false;
+penlabels(1,2,3,4,5,6,100);
+endchar; % end "2"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{3}
+% The digit `3'.
+% \begin{macrocode}
+cmchar "TGOTH digit 3";
+beginchar("3", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+numeric n[];
+numeric st; st := stem_width;
+n1 := st;
+pcshiftx := u;
+pickup quill;
+%% top
+lft x1 = pcshiftx + n1; rt x3 = w - pcshiftx - n1;
+x2 = 1/2[x1,x3]; x4 = 1/2[x1,x2];
+top y2 = h; y3 = 12/16h;
+(z2-z1) = whatever*pdir;
+(z3-z4) = whatever*pdir;
+%% bottom
+x5 = 12/16[x4, rt x4]; x6 = x3; x7 = x2;
+x18 = x1-n1; x17 = x7;
+bot y7 = thin;
+y5 = 12/16[y4, top y4];
+(z5-z6) = whatever*(z2-z3);
+bot y18 = 0; bot y17 = 0;
+
+draw z1--z2--z3--z4; % top
+draw_wave(18,17,thin);
+draw z5--z6--z18wr; % bottom
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,8,9,10,17,18,100);
+endchar; % end "3"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{4}
+% The digit `4'.
+% \begin{macrocode}
+cmchar "TGOTH digit 4";
+beginchar("4", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+numeric st; st := stem_width;
+numeric n[];
+pcshiftx := u;
+pickup quill;
+% the stem
+x1=x2=w-pcshiftx-(wided+widedmin)*st;
+y1=h; y2=0;
+% the crossbar
+lft x3=pcshiftx; y3=7/16h;
+rt x4=w-pcshiftx; y4=y3;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw_downdiamondstem(1,2,wided,widedmin,diawd,diang); % stem
+draw z3--z4; % horizontal
+draw z1--z3; % diagonal
+ductus:=false;
+penlabels(1,2,3,4,100);
+endchar; % end "4"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+%
+% \begin{routine}{5}
+% The digit `5'.
+% \begin{macrocode}
+cmchar "TGOTH digit 5";
+beginchar("5", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+pcshiftx := u;
+numeric n[];
+numeric st; st := stem_width;
+n1 := st;
+pickup quill;
+% for the top
+rt x1=w-pcshiftx; top y1=h;
+lft x2=pcshiftx+n1; y2=y1;
+% the S curve
+x3=x2; y3=0.5h;
+x4=0.5[x1,x3]; y4=0.5[y3,y5];
+rt x5=w-pcshiftx; y5=1/2[thick,y3];
+x6=w/2; bot y6=0;
+%%x16 = 12/16[x3,x5];
+x16 = lft x5;
+bot y16 = 0;
+lft x17=pcshiftx; bot y17=0;
+z167 = 1/2[z16,z17];
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw_wave(2,1,thin); % top squiggle
+draw z2wl--z3; % vertical
+%%draw_wave(17,16,thin); % foot
+draw z17{pdir}..{pdir}z16; % foot
+draw z3{pdir}..z5{down}..z16; % curve
+ductus:=false;
+penlabels(1,2,3,4,5,6,7,100);
+endchar; % end "5"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{6}
+% The digit `6'.
+% \begin{macrocode}
+cmchar "TGOTH digit 6";
+beginchar("6", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+n1 := 24/16st;
+pickup quill;
+%% bottom left
+x1 = x4 = w/2; top y1 = h - thick; bot y4 = 0;
+x2 = x3 = x1 + n1; x5 = x6 = x1 - n1;
+y2 = y6 = 3/4[y4,y1];
+y3 = y5 = 1/4[y4,y1];
+%% bowl
+draw z1--z2--z3--z4--z5--z6--cycle;
+%% head
+x11 = x5; top y11 = h;
+x12 = x2; y12 = y11;
+draw_wave(11,12,thin);
+x16 = x11; y16 = y11-thin;
+draw z6--z16;
+penlabels(1,2,3,4,5,6,12,100);
+endchar; % end "6"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{7}
+% The digit `7'.
+% \begin{macrocode}
+cmchar "TGOTH digit 7";
+beginchar("7", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+pcshiftx := u;
+pickup quill;
+% top bar
+lft x1=pcshiftx;
+rt x2=w-pcshiftx;
+top y1=top y2=h;
+% bowed leg
+x4=w/2; bot y4=0;
+x3=0.5[x2,x4]-3thin; y3=0.5[y2,y4];
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+draw_wave(1,2,thin); % top bar
+draw z1wr..z3..z4;
+ductus:=false;
+penlabels(1,2,3,4,5,6,100);
+endchar; % end "7"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{8}
+% The digit `8'.
+% \begin{macrocode}
+cmchar "TGOTH digit 8";
+beginchar("8", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+pcshiftx := u;
+numeric alpha; alpha:=1;
+pickup quill;
+lft x1= pcshiftx; rt x3=w-pcshiftx; top y1 = y3 = 3/4h;
+rt x2 = lft x4 = w/2; top y2=h; bot y4=0;
+x5=x2; y5=h/2+2o;
+lft x11=pcshiftx; rt x13=w-pcshiftx; y11 = bot y13 = 1/4h;
+%%ductus:=true;
+if ductus:
+ pickup stylus;
+fi
+%%draw z1..z2..z3..z5..z11..z4..z13..z5..cycle;
+draw z1--z2--z3--z11--z4--z13--cycle;
+ductus:=false;
+penlabels(1,2,3,4,5,11,13,100);
+endchar; % end "8"
+
+% \end{macrocode}
+% \end{routine}
+%
+% \begin{routine}{9}
+% The digit `9'.
+% \begin{macrocode}
+cmchar "TGOTH digit 9";
+beginchar("9", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+n1 := 24/16st;
+pickup quill;
+%% bottom left
+x1 = x4 = w/2; top y1 = h; bot y4 = thick;
+x2 = x3 = x1 + n1; x5 = x6 = x1 - n1;
+y2 = y6 = 3/4[y4,y1];
+y3 = y5 = 1/4[y4,y1];
+%% bowl
+draw z1--z2--z3--z4--z5--z6--cycle;
+%% foot
+x11 = x5; bot y11 = 0;
+x12 = x2; y12 = y11;
+draw_wave(11,12,thin);
+x13 = x12; y13 = y12+thin;
+draw z3--z13;
+penlabels(1,2,3,4,5,6,12,100);
+endchar; % end "9"
+
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% \begin{routine}{0}
+% The digit `0'.
+% \begin{macrocode}
+cmchar "TGOTH digit 0";
+beginchar("0", 2u#+fig_width#, fig_height#, 0);
+adjust_fit(0,0);
+pcshiftx := sb;
+numeric n[];
+numeric st; st := stem_width;
+n1 := 24/16st;
+pickup quill;
+%% bottom left
+x1 = x4 = w/2; top y1 = h; bot y4 = 0;
+x2 = x3 = x1 + n1; x5 = x6 = x1 - n1;
+y2 = y6 = 3/4h;
+y3 = y5 = 1/4h;
+
+draw z1--z2--z3--z4--z5--z6--cycle;
+
+penlabels(1,2,3,4,5,6,12,100);
+endchar; % end "0"
+
+% \end{macrocode}
+% \end{routine}
+%
+%
+% The end of this file.
+% \begin{macrocode}
+%</dig>
+% \end{macrocode}
+%
+%
+% \section{The font definition files} \label{sec:fd}
+%
+% The font comes in normal and bold weights only.
+%
+% \begin{macrocode}
+%<*fdot1>
+\DeclareFontFamily{OT1}{tgoth}{}
+ \DeclareFontShape{OT1}{tgoth}{m}{n}{ <-8.5> tgoth7 <8.5-15> tgoth10 <15-> tgoth17 }{}
+ \DeclareFontShape{OT1}{tgoth}{m}{sl}{ <-> sub * tgoth/m/n }{}
+ \DeclareFontShape{OT1}{tgoth}{m}{it}{ <-> sub * tgoth/m/n }{}
+ \DeclareFontShape{OT1}{tgoth}{m}{sc}{ <-> sub * tgoth/m/n }{}
+ \DeclareFontShape{OT1}{tgoth}{m}{u}{ <-> sub * tgoth/m/n }{}
+ \DeclareFontShape{OT1}{tgoth}{bx}{n}{ <-15> tgothb10 <15-> tgothb17 }{}
+ \DeclareFontShape{OT1}{tgoth}{bx}{it}{ <-> sub * tgoth/bx/n }{}
+ \DeclareFontShape{OT1}{tgoth}{bx}{sl}{ <-> sub * tgoth/bx/n }{}
+ \DeclareFontShape{OT1}{tgoth}{b}{n}{ <-> sub * tgoth/bx/n }{}
+%</fdot1>
+% \end{macrocode}
+%
+%
+% \begin{macrocode}
+%<*fdt1>
+\DeclareFontFamily{T1}{tgoth}{}
+ \DeclareFontShape{T1}{tgoth}{m}{n}{ <-8.5> tgoth7 <8.5-15> tgoth10 <15-> tgoth17 }{}
+ \DeclareFontShape{T1}{tgoth}{m}{sl}{ <-> sub * tgoth/m/n }{}
+ \DeclareFontShape{T1}{tgoth}{m}{it}{ <-> sub * tgoth/m/n }{}
+ \DeclareFontShape{T1}{tgoth}{m}{sc}{ <-> sub * tgoth/m/n }{}
+ \DeclareFontShape{T1}{tgoth}{m}{u}{ <-> sub * tgoth/m/n }{}
+ \DeclareFontShape{T1}{tgoth}{bx}{n}{ <-15> tgothb10 <15-> tgothb17 }{}
+ \DeclareFontShape{T1}{tgoth}{bx}{it}{ <-> sub * tgoth/bx/n }{}
+ \DeclareFontShape{T1}{tgoth}{bx}{sl}{ <-> sub * tgoth/bx/n }{}
+ \DeclareFontShape{T1}{tgoth}{b}{n}{ <-> sub * tgoth/bx/n }{}
+%</fdt1>
+% \end{macrocode}
+%
+% \section{The package code} \label{sec:code}
+%
+% \subsection{The \Lpack{tgothic} package}
+%
+% The \Lpack{tgothic} package is for typesetting short pieces of text
+% in the \thisfont{} fonts.
+%
+% Announce the name and version of the package, which requires
+% \LaTeXe{}.
+% \begin{macrocode}
+%<*usc>
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{tgothic}[2002/12/30 v1.0 package for Gothic Textura fonts]
+% \end{macrocode}
+%
+% \begin{macro}{\Tienc}
+% A macro for testing the value of |\encodingdefault|.
+% \begin{macrocode}
+\providecommand{\Tienc}{T1}
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \begin{macro}{\tgothfamily}
+% Selects the \thisfont{} font family in the OT1 or T1 encoding.
+% \begin{macrocode}
+\ifx\Tienc\encodingdefault
+ \newcommand{\tgothfamily}{\usefont{T1}{tgoth}{m}{n}}
+\else
+ \newcommand{\tgothfamily}{\usefont{OT1}{tgoth}{m}{n}}
+\fi
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\texttgoth}
+% Text command for the \thisfont{} font family.
+% \begin{macrocode}
+\DeclareTextFontCommand{\texttgoth}{\tgothfamily}
+% \end{macrocode}
+% \end{macro}
+%
+% The end of this package.
+% \begin{macrocode}
+%</usc>
+% \end{macrocode}
+%
+% \subsection{The \Lpack{alltgoth} package}
+%
+% The \Lpack{alltgoth} package is intended for use when the entire document
+% will be typeset in the book-hand. This is a minimal package. Because the
+% book-hand should not contain arabic digits a fuller package would redefine
+% anything numbered in \LaTeX{} to use roman instead of arabic numbering.
+% Also, because of the large |\baselineskip| many other aspects of \LaTeX{}
+% to do with vertical positioning should also be redefined.
+%
+%
+% Announce the name and version of the package, which requires
+% \LaTeXe{}. It also uses the \Lpack{tgothic} package.
+% \begin{macrocode}
+%<*uscall>
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{alltgoth}[2002/12/30 v1.0 package for all Gothic Textura fonts]
+\RequirePackage{tgothic}
+% \end{macrocode}
+%
+% \begin{macro}{\Tienc}
+% A macro for testing the value of |\encodingdefault|.
+% \begin{macrocode}
+\providecommand{\Tienc}{T1}
+% \end{macrocode}
+% \end{macro}
+%
+% Redefine the default fonts to be \thisfont, which has only one family
+% member.
+% \begin{macro}{\rmdefault}
+% \begin{macro}{\sfdefault}
+% \begin{macro}{\ttdefault}
+% \begin{macrocode}
+\renewcommand{\rmdefault}{tgoth}
+\renewcommand{\sfdefault}{tgoth}
+\renewcommand{\ttdefault}{tgoth}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+% The `leading' in the book-hands is a function of the |x-height|, which is
+% normally much
+% greater than for the CMR fonts. I have borrowed code from Frank Jensen's
+% \Lpack{beton} package~\cite{BETON} to do this. The |x-height| (in points)
+% for the CMR
+% fonts is given in Table~\ref{tab:cmrx}. Note that the CMR design sizes are
+% 5--10, 12, and 17.28 points. The other values given are scaled from these
+% figures.
+%
+% \begin{table}
+% \centering
+% \caption{The x heights of the CMR and \thisfont{} fonts} \label{tab:cmrx}
+% \begin{tabular}{ccc} \hline
+% Design & CMR & \thisfont \\
+% Size & X Height & X Height \\ \hline
+% 5 & 2.14 & 3.00 \\ ^^A CMR skip = 6pt = 2.8 times
+% 6 & 2.58 & 3.61 \\ ^^A CMR skip = 7pt = 2.7 times
+% 7 & 3.00 & 4.20 \\ ^^A CMR skip = 8pt = 2.7 times
+% 8 & 3.44 & 4.81 \\ ^^A CMR skip = 9.5pt = 2.8 times
+% 9 & 3.86 & 5.40 \\ ^^A CMR skip = 11pt = 2.8 times
+% 10 & 4.31 & 6.03 \\ ^^A CMR skip = 12pt = 2.8 times
+% 11 & 4.74 & 6.64 \\ ^^A CMR skip = 13.6pt = 2.8 times
+% 12 & 5.17 & 7.24 \\ ^^A CMR skip = 14.5pt = 2.8 times
+% 14 & 6.03 & 8.44 \\ ^^A CMR skip = 18pt = 3.0 times
+% 17 & 7.44 & 10.41 \\ ^^A CMR skip = 22pt = 3.0 times
+% 20 & 8.75 & 12.25 \\ ^^A CMR skip = 25pt = 2.9 times
+% 25 & 10.94 & 15.32 \\ ^^A CMR skip = 30pt = 2.7 times
+% \hline
+% \end{tabular}
+% \end{table}
+%
+% \begin{macro}{\tgoth@baselineskip@table}
+% A table of the normal font sizes and the corresponding baselineskip.
+% The distance between baselines for \thisfont{} is over twice
+% the |x-height|. ^^A actually 2.5 times to nearest half point
+%
+% \begin{macrocode}
+\newcommand{\tgoth@baselineskip@table}{%
+ <\@vpt>7.5%
+ <\@vipt>9.0%
+ <\@viipt>10.5%
+ <\@viiipt>12.0%
+ <\@ixpt>13.5%
+ <\@xpt>15.0%
+ <\@xipt>16.5%
+ <\@xiipt>18.0%
+ <\@xivpt>21.0%
+ <\@xviipt>26.0%
+ <\@xxpt>30.5%
+ <\@xxvpt>38.5}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\tgoth@new@setfontsize}
+% This is a macro that replaces the |\@setfontsize| macro which is called by
+% the font size changing commands.
+% \begin{macrocode}
+\newcommand{\tgoth@new@setfontsize}[3]{%
+ \edef\@tempa{\def\noexpand\@tempb####1<#2}%
+ \@tempa>##2<##3\@nil{\def\tgoth@baselineskip@value{##2}}%
+ \edef\@tempa{\noexpand\@tempb\tgoth@baselineskip@table<#2}%
+ \@tempa><\@nil
+ \ifx\tgoth@baselineskip@value\@empty
+ \def\tgoth@baselineskip@value{#3}%
+ \fi
+ \tgoth@old@setfontsize{#1}{#2}\tgoth@baselineskip@value}
+% \end{macrocode}
+% \end{macro}
+%
+% We had better give an author a means of using The Computer Modern fonts
+% if necessary.
+%
+% \begin{macro}{\cmrfamily}
+% \begin{macro}{\cmssfamily}
+% \begin{macro}{\cmttfamily}
+% These macros select the Computer Modern Roman, Sans, and Typewriter
+% font families in either the T1 or OT1 encodings.
+% \begin{macrocode}
+\ifx\Tienc\encodingdefault
+ \providecommand{\cmrfamily}{\usefont{T1}{cmr}{m}{n}}
+ \providecommand{\cmssfamily}{\usefont{T1}{cmss}{m}{n}}
+ \providecommand{\cmttfamily}{\usefont{T1}{cmtt}{m}{n}}
+\else
+ \providecommand{\cmrfamily}{\usefont{OT1}{cmr}{m}{n}}
+ \providecommand{\cmssfamily}{\usefont{OT1}{cmss}{m}{n}}
+ \providecommand{\cmttfamily}{\usefont{OT1}{cmtt}{m}{n}}
+\fi
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\textcmr}
+% Text command for the Computer Modern Roman font family.
+% \begin{macrocode}
+\DeclareTextFontCommand{\textcmr}{\cmrfamily}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\textcmss}
+% Text command for the Computer Modern Sans font family.
+% \begin{macrocode}
+\DeclareTextFontCommand{\textcmss}{\cmssfamily}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\textcmtt}
+% Text command for the Computer Modern Typewriter font family.
+% \begin{macrocode}
+\DeclareTextFontCommand{\textcmtt}{\cmttfamily}
+% \end{macrocode}
+% \end{macro}
+%
+%
+% At the start of the document, change the |\@setfontsize| macro and call
+% the normal font to implement the change.
+% \begin{macrocode}
+\AtBeginDocument{%
+ \let\tgoth@old@setfontsize=\@setfontsize
+ \let\@setfontsize=\tgoth@new@setfontsize}
+\AtBeginDocument{\normalsize}
+% \end{macrocode}
+%
+%
+% The end of this package.
+% \begin{macrocode}
+%</uscall>
+% \end{macrocode}
+%
+%
+%
+%
+%
+% \Finale
+% \PrintIndex
+%
+\endinput
+
+%% \CharacterTable
+%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+%% Digits \0\1\2\3\4\5\6\7\8\9
+%% Exclamation \! Double quote \" Hash (number) \#
+%% Dollar \$ Percent \% Ampersand \&
+%% Acute accent \' Left paren \( Right paren \)
+%% Asterisk \* Plus \+ Comma \,
+%% Minus \- Point \. Solidus \/
+%% Colon \: Semicolon \; Less than \<
+%% Equals \= Greater than \> Question mark \?
+%% Commercial at \@ Left bracket \[ Backslash \\
+%% Right bracket \] Circumflex \^ Underscore \_
+%% Grave accent \` Left brace \{ Vertical bar \|
+%% Right brace \} Tilde \~}
+
+