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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
commite0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree60335e10d2f4354b0674ec22d7b53f0f8abee672 /fonts/apl
Initial commit
Diffstat (limited to 'fonts/apl')
-rw-r--r--fonts/apl/00readme.tex32
-rw-r--r--fonts/apl/apl.sty37
-rw-r--r--fonts/apl/apldef.tex106
-rw-r--r--fonts/apl/aplstyle.sty35
-rw-r--r--fonts/apl/aplstyle.tex29
-rw-r--r--fonts/apl/aplverb.tex45
-rw-r--r--fonts/apl/clean.pas226
-rw-r--r--fonts/apl/cmapl10.mf3174
-rw-r--r--fonts/apl/cmapl10.tfmbin0 -> 764 bytes
-rw-r--r--fonts/apl/convert.pas117
-rw-r--r--fonts/apl/fontnotes97
-rw-r--r--fonts/apl/ninesize.tex34
-rw-r--r--fonts/apl/problems.tex316
-rw-r--r--fonts/apl/readme28
-rw-r--r--fonts/apl/readme.txt129
-rw-r--r--fonts/apl/sample.tex124
-rw-r--r--fonts/apl/solutions.tex198
-rw-r--r--fonts/apl/tugboat.tex530
-rw-r--r--fonts/apl/tugboat2.tex534
-rw-r--r--fonts/apl/versatim.tex66
20 files changed, 5857 insertions, 0 deletions
diff --git a/fonts/apl/00readme.tex b/fonts/apl/00readme.tex
new file mode 100644
index 0000000000..d729a540b6
--- /dev/null
+++ b/fonts/apl/00readme.tex
@@ -0,0 +1,32 @@
+% langs/apl
+\par\begin{footnotesize}\begin{alltt}
+Contents of README files:\par
+Thank you for your letter of 27 February. The original purpose
+of our APL font and macros was to solve the immediate problem
+of writing documents with APL code. Therefore, they are free for
+anyone who finds them useful. Some people have requested the font
+and we have sent them the files appended below (with CMAPL10 and
+two conversion programs for downloading pixel files, not given here).
+Further, we have nothing against giving our net address to the
+users because it would be useful to hear about extensions made
+to the system.
+
+The files APLDEF.TEX and TUGBOAT.TEX are identical with the second
+versions sent to you (via BITNET) except for minimal changes (there
+are some corrections and extensions in APLDEF.TEX, and in
+TUGBOAT.TEX one APL line was corrected.) We think the files are
+in a "final" form (at least we are not planning any changes).
+
+Our original purpose was to publish the second version, but the only
+difference was really the removal of the tilde space character (this
+resulted in more complex 1-character macros, but the user cannot
+see any difference; moreover, TeX runs only about 14% slower). Thus,
+we feel that there is no reason to publish a list of errata in
+TUGboat, because any user would inevitably have to use the new
+version (the old one has not been released).
+
+We are adding a file containing sample examples on the use of the
+APL mnemonics.
+
+Aarno Hohti
+\end{alltt}\end{footnotesize}\par
diff --git a/fonts/apl/apl.sty b/fonts/apl/apl.sty
new file mode 100644
index 0000000000..f676e6e541
--- /dev/null
+++ b/fonts/apl/apl.sty
@@ -0,0 +1,37 @@
+
+
+
+%==================================================================
+% A P L S T Y L E
+%==================================================================
+% A.Hohti/O.Kanerva University of Helsinki April 6 1987
+% revised August 19 1987
+%
+% APL symbols are represented by the Digital (VAX) APL
+% replacement symbols. The standard escape character is
+% changed to "@" (at sign) in accordance with the usage
+% in Digital APL.
+%
+\font\apl=cmapl10 % The APL font of typewriter type
+%
+%
+% The following macro \choosett switches the typewriter-like
+% font used within verbatim:
+%
+\def\ifundefined#1{\expandafter\ifx\csname#1\endcsname\relax}
+\newif\ifapl \def\aplname{apl}
+\outer\def\choosett#1{\ifundefined{#1}%
+ \message{Undefined font(?), replaced with cmtt10}%
+ \let\tt=\tentt
+ \else
+ \def\tt{\expandafter\csname#1\endcsname}%
+ \def\ttname{#1}%
+ \ifx\ttname\aplname\apltrue\else\aplfalse\fi\fi}
+%
+\choosett{tentt} % default value
+%
+\input versatim % a slightly modified version of verbatim
+\input apldef % control sequences for APL symbols
+
+
+
diff --git a/fonts/apl/apldef.tex b/fonts/apl/apldef.tex
new file mode 100644
index 0000000000..66451a7dbc
--- /dev/null
+++ b/fonts/apl/apldef.tex
@@ -0,0 +1,106 @@
+% apldef.tex
+%
+% Aarno Hohti/Okko Kanerva
+% University of Helsinki
+% Department of Mathematics
+% Hallituskatu 15
+% SF--00100 Helsinki
+% Finland
+%
+% Bitnet: HOHTI@FINFUN
+%
+%===============================================================
+% This file contains the definitions of the 2-letter control
+% sequences for using cmapl10.
+% cmapl10 was described in TUGboat 8 #3, November 1987.
+%===============================================================
+%
+\def\RO{{\apl\char'014}} % rho
+\def\IO{{\apl\char'015}} % iota
+\def\BX{\lower.1ex\hbox{\apl\char'001}} % quad box (window etc.)
+\def\CE{{\apl\char'035}} % ceiling
+\def\FL{{\apl\char'034}} % floor
+\def\DE{{\apl\char'031}} % decode
+\def\EN{{\apl\char'030}} % encode
+\def\DL{{\apl\char'002}} % del
+\def\LD{{\apl\char'003}} % delta
+\def\NT{{\apl\char'026}} % not
+\def\LO{{\apl\char'017}} % circle
+\def\GO{{\apl\char'036}} % arrow right
+\def\OR{{\apl\char'010}} % logical or
+\def\DM{{\apl\char'011}} % diamond
+\def\LE{{\apl\char'012}} % less than or equal
+\def\GE{{\apl\char'013}} % greater than or equal
+\def\AB{{\apl\char'174}} % stile
+\def\LB{{\apl\char'173}} % left brace
+\def\RB{{\apl\char'175}} % right brace
+\def\DA{{\apl\char'037}} % arrow down
+\def\UA{{\apl\char'136}} % arrow up
+\def\EP{{\apl\char'006}} % epsilon
+\def\NE{{\apl\char'027}} % not equal
+\def\BL{{\apl\char'134}} % backslash
+\def\RU{{\apl\char'022}} % right U
+\def\LU{{\apl\char'023}} % left U
+\def\DU{{\apl\char'021}} % down U
+\def\UU{{\apl\char'020}} % up U
+\def\LK{{\apl\char'033}} % left tack
+\def\RK{{\apl\char'032}} % right tack
+\def\US{{\apl\char'024}} % underscore
+\def\NG{{\apl\char'025}} % high minus
+\def\DD{{\apl\char'007}} % dieresis
+\def\AM{{\apl\char'004}} % alpha
+\def\OM{{\apl\char'005}} % omega
+\def\SO{\raise.3ex\hbox{{\apl\char'016}}} % small circle
+%
+% This macro is used for overstriking two characters
+\newskip\charwidth
+\def\overstrike#1#2{\setbox1=\hbox{#1}\charwidth=\wd1
+ #1\hskip-\charwidth#2}
+%
+\def\TR{\overstrike{\LO}{\BL}} % transpose
+\def\RV{\overstrike{\LO}{\AB}} % reverse
+\def\CR{\overstrike{\LO}{-}} % column reverse
+\def\GD{\overstrike{\DL}{\AB}} % grade down
+\def\GU{\overstrike{\LD}{\AB}} % grade up
+\def\FM{\overstrike{\raise.1ex\hbox{{\apl\char'016}}}{\EN}} % format
+\def\XQ{\overstrike{\raise.1ex\hbox{{\apl\char'016}}}{\DE}} % execute
+\def\SS{\overstrike{\RU}{\US}} % subset
+\def\CO{\overstrike{\LU}{\US}} % contains
+\def\CB{\overstrike{\BL}{-}} % column backslash
+\def\CS{\overstrike{/}{-}} % column slash
+\def\IB{\overstrike{\EN}{\DE}} % I-beam
+\def\DQ{\overstrike{{\apl\char'045}}{\BX}} % divide quad
+\def\QQ{\overstrike{{\apl '}}{\BX}} % quote quad
+\def\PD{\overstrike{\DL}{\NT}} % protected del
+\def\NR{\overstrike{\OR}{\NT}} % nor
+\def\NN{\overstrike{{\apl\char'046}}{\NT}} % nand
+\def\LG{\overstrike{{\apl *}}{\LO}} % logarithm
+% underscored letters
+\def\ZA{\overstrike{{\apl A}}{\US}}
+\def\ZB{\overstrike{{\apl B}}{\US}}
+\def\ZC{\overstrike{{\apl C}}{\US}}
+\def\ZD{\overstrike{{\apl D}}{\US}}
+\def\ZE{\overstrike{{\apl E}}{\US}}
+\def\ZF{\overstrike{{\apl F}}{\US}}
+\def\ZG{\overstrike{{\apl G}}{\US}}
+\def\ZH{\overstrike{{\apl H}}{\US}}
+\def\ZI{\overstrike{{\apl I}}{\US}}
+\def\ZJ{\overstrike{{\apl J}}{\US}}
+\def\ZK{\overstrike{{\apl K}}{\US}}
+\def\ZL{\overstrike{{\apl L}}{\US}}
+\def\ZM{\overstrike{{\apl M}}{\US}}
+\def\ZN{\overstrike{{\apl N}}{\US}}
+\def\ZO{\overstrike{{\apl O}}{\US}}
+\def\ZP{\overstrike{{\apl P}}{\US}}
+\def\ZQ{\overstrike{{\apl Q}}{\US}}
+\def\ZR{\overstrike{{\apl R}}{\US}}
+\def\ZS{\overstrike{{\apl S}}{\US}}
+\def\ZT{\overstrike{{\apl T}}{\US}}
+\def\ZU{\overstrike{{\apl U}}{\US}}
+\def\ZV{\overstrike{{\apl V}}{\US}}
+\def\ZX{\overstrike{{\apl X}}{\US}}
+\def\ZY{\overstrike{{\apl Y}}{\US}}
+\def\ZW{\overstrike{{\apl W}}{\US}}
+\def\ZZ{\overstrike{{\apl Z}}{\US}}
+
+\endinput
diff --git a/fonts/apl/aplstyle.sty b/fonts/apl/aplstyle.sty
new file mode 100644
index 0000000000..1a744df218
--- /dev/null
+++ b/fonts/apl/aplstyle.sty
@@ -0,0 +1,35 @@
+
+%==================================================================
+% A P L S T Y L E
+%==================================================================
+% A.Hohti/O.Kanerva University of Helsinki April 6 1987
+% revised August 19 1987
+%
+% APL symbols are represented by the Digital (VAX) APL
+% replacement symbols. The standard escape character is
+% changed to "@" (at sign) in accordance with the usage
+% in Digital APL.
+%
+\font\apl=cmapl10 % The APL font of typewriter type
+%
+%
+% The following macro \choosett switches the typewriter-like
+% font used within verbatim:
+%
+\def\ifundefined#1{\expandafter\ifx\csname#1\endcsname\relax}
+\newif\ifapl \def\aplname{apl}
+\outer\def\choosett#1{\ifundefined{#1}%
+ \message{Undefined font(?), replaced with cmtt10}%
+ \let\tt=\tentt
+ \else
+ \def\tt{\expandafter\csname#1\endcsname}%
+ \def\ttname{#1}%
+ \ifx\ttname\aplname\apltrue\else\aplfalse\fi\fi}
+%
+\choosett{tentt} % default value
+%
+\input versatim % a slightly modified version of verbatim
+\input apldef % control sequences for APL symbols
+
+
+
diff --git a/fonts/apl/aplstyle.tex b/fonts/apl/aplstyle.tex
new file mode 100644
index 0000000000..b732bded0c
--- /dev/null
+++ b/fonts/apl/aplstyle.tex
@@ -0,0 +1,29 @@
+% aplstyle.tex
+%
+%===============================================================
+% A P L S T Y L E
+%===============================================================
+% A.Hohti/O.Kanerva University of Helsinki April 6 1987
+%
+% APL symbols are represented by the Digital (VAX) APL replacement
+% symbols. The standard escape sequence is changed to "@" (at sign)
+% in accordance with the usage in Digital APL.
+%
+\font\apl=cmapl10 % The APL font of typewriter type
+%
+%
+% The following macro switches the typewriter-like font
+% used within verbatim
+\def\ifundefined#1{\expandafter\ifx\csname#1\endcsname\relax}
+\outer\def\choosett#1{\ifundefined{#1}
+ \message{Undefined font(?), replaced with cmtt10}
+ \let\tt=\tentt
+ \else
+ \def\tt{\expandafter\csname#1\endcsname}\fi}
+%
+\choosett{tentt} % default value
+%
+\input aplverb % definitions for verbatim
+\input apldef % control sequences for the APL symbols
+
+\endinput
diff --git a/fonts/apl/aplverb.tex b/fonts/apl/aplverb.tex
new file mode 100644
index 0000000000..cac8e3acdb
--- /dev/null
+++ b/fonts/apl/aplverb.tex
@@ -0,0 +1,45 @@
+% aplverb.tex = verbatim.tex
+%
+%
+% F|ljande macron anv{nds d} man vill f} ut \TeX-kommandon
+% i klartext. @text@ ger text i fonten \tt med alla kontroll-
+% tecken och dylika bevarade (\TeX\ f|rst}r sig endast p} kommandot
+% @ i denna mode). Man kan ocks} utnyttja \begintt ... \endtt f|r
+% att beskriva kommandon, d} {r ocks} \obeylines och \obeyspaces
+% aktiva. Om man vill anv{nda vissa \TeX-kommandon men vill
+% ocks} displaya n}got i en-kolumn-tabell-form kan man anv{nda
+% \begindisplay ...\cr ...\cr \enddisplay
+% Om du vill anv{nda \begintt...\endtt f|r text som inte
+% ryms p} en sida, kan du ocks} anv{nda \beginlines...\endlines.
+% Varje rad m}ste d} b|rjas och avslutas med kommandot @.
+\newskip\verbatimindent \verbatimindent=0cm
+\newskip\ttglue{\tt \global\ttglue=.5em plus.25em minus.15em}
+\def\@{\char'100 }
+%
+\outer\def\begindisplay{\obeylines\startdisplay}
+{\obeylines\gdef\startdisplay#1
+ {\catcode`\^^M=5$$#1\halign\bgroup&\hskip\verbatimindent##\hfil\cr}}
+\outer\def\enddisplay{\crcr\egroup$$}
+%
+\chardef\other=12
+\def\ttverbatim{\begingroup \catcode`\\=\other \catcode`\{=\other
+ \catcode`\}=\other \catcode`\$=\other \catcode`\&=\other
+ \catcode`\#=\other \catcode`\%=\other \catcode`\~=\other
+ \catcode`\_=\other \catcode`\^=\other\catcode`\*=\other\catcode`\==\other
+ \obeyspaces \obeylines \tt}
+{\obeyspaces\gdef {\ }}
+%
+\def\begintt{$$\let\par=\endgraf \ttverbatim \parskip=0pt
+ \catcode`\@=0 \parindent=\verbatimindent \rightskip=-5pc \ttfinish}
+{\catcode`\@=0 @catcode`@\=\other % @ is temporary escape character
+ @obeylines % end of line is active
+ @gdef@ttfinish#1^^M#2\endtt{#1@vbox{#2}@endgroup$$}}
+%
+\catcode`\@=\active
+{\obeylines\gdef@{\ttverbatim\spaceskip=\ttglue\let^^M=\ \let@=\endgroup}}
+
+\def\beginlines{\par\begingroup\nobreak\medskip\parindent=0pt
+ \kern1pt\nobreak \obeylines \everypar{\strut}}
+\def\endlines{\kern1pt\endgroup\medbreak\noindent}
+
+\endinput
diff --git a/fonts/apl/clean.pas b/fonts/apl/clean.pas
new file mode 100644
index 0000000000..611d434fe5
--- /dev/null
+++ b/fonts/apl/clean.pas
@@ -0,0 +1,226 @@
+
+%============================================================================
+% C L E A N . P A S
+%============================================================================
+
+% A sample Turbo Pascal (3.0) program for truncating downloaded pixel files
+% to the standard size assumed by some TeX-oriented programs (starting from
+% a file of type: File of Array[0..511] of Byte.
+
+Program Clean_Up(Output,Input,Font_List_File);
+
+LABEL
+
+Report;
+
+
+TYPE
+
+Name_Of_File =String[20];
+Name_Of_Font =String[20];
+Byte =0..255;
+Byte_Block =Array[0..511] Of Byte;
+Word =Array[0..3] Of Byte;
+
+
+
+VAR
+
+Font_List_File:Text;
+Pxl_File:File of Byte_Block;
+Block:Byte_Block;
+Last_Blocks:Array[0..1023] Of Byte;
+One_Word:Word;
+File_Name,New_File_Name:Name_Of_File;
+Font_Name:Name_Of_Font;
+New_Pxl_File:File Of Word;
+File_Id_Found,Bad_Pxl_File:Boolean;
+End_Of_Block:Boolean;
+IOR,Word_Pos:Integer;
+Ch:Char;
+Word_Value:Real;
+
+
+PROCEDURE Banner;
+
+ Begin
+ Writeln('!==================================================!');
+ Writeln('! The files to be repaired are assumed consist of !');
+ Writeln('! blocks 512 bytes long. The repaired files consist!');
+ Writeln('! of words. The names of files are supposed to be !');
+ Writeln('! found from a separate file. !');
+ Writeln('!==================================================!');
+ End;
+
+
+
+PROCEDURE Initialize;
+
+ Begin
+ File_Id_Found:=False;
+ Word_Pos:=0;
+ End_Of_Block:=False;
+ Bad_Pxl_File:=False;
+ End;
+
+
+
+
+PROCEDURE Check_File_Id;
+
+VAR
+
+A:Integer;
+
+ Begin
+ If Abs(Word_Value)<2000.0 Then
+ Begin
+ A:=Round(Word_Value);
+ If (A=1001) Or (A=1002) Then File_Id_Found:=True;
+ End;
+ End;
+
+
+
+PROCEDURE READ_NEXT_WORD;
+
+VAR
+
+I:Integer;
+
+ Begin
+ If Not End_Of_Block Then
+ Begin
+ For I:=0 To 3 Do One_Word[3-I]:=Last_Blocks[1023-((4*Word_Pos)+I)];
+ Word_Pos:=Word_Pos+1;
+ If Word_Pos>255 Then End_Of_Block:=True;
+ End;
+ End;
+
+
+
+
+PROCEDURE EVALUATE_NEXT_WORD;
+
+ Begin
+ Read_Next_Word;
+ Word_Value:=One_Word[3]+256.0*(One_Word[2]+
+ 256.0*(One_Word[1]+256.0*One_Word[0]));
+
+ End;
+
+
+
+PROCEDURE Find_File_Id;
+
+Var
+
+K:Integer;
+
+ Begin
+ While (Not File_Id_Found) And (Not End_Of_Block) Do
+ Begin
+ Evaluate_Next_Word;
+ Check_File_Id;
+ End;
+ If Not File_Id_Found Then
+ Begin
+ For K:=Length(Font_Name) To 30 Do Write('.');
+ Writeln(' Bad Pxl File, File Not Repaired');
+ Bad_Pxl_File:=True;
+ End;
+ End;
+
+
+
+PROCEDURE Rewrite_Pxl_File(Var Font_Name,File_Name:Name_Of_File);
+
+LABEL
+
+Report;
+
+VAR
+
+I,J,K,IOR:Integer;
+
+ Begin
+ Assign(Pxl_File,Font_Name);
+ {$I-} Reset(Pxl_File) {$I+};
+ IOR:=IOresult;
+ If IOR<>0 Then Goto Report;
+ Assign(New_Pxl_File,File_Name);
+ Rewrite(New_Pxl_File);
+ Seek(Pxl_File,0);
+ For I:=0 To Filesize(Pxl_File)-3 Do
+ Begin
+ Read(Pxl_File,Block);
+ For J:=0 To 127 Do
+ Begin
+ For K:=0 To 3 Do One_Word[K]:=Block[(4*J)+K];
+ Write(New_Pxl_File,One_Word);
+ End;
+ End;
+ Read(Pxl_File,Block);
+ For I:=0 To 511 Do
+ Last_Blocks[I]:=Block[I];
+ Read(Pxl_File,Block);
+ For I:=512 To 1023 Do
+ Last_Blocks[I]:=Block[I-512];
+ Find_File_ID;
+ Word_Pos:=255-Word_Pos;
+ If Not Bad_Pxl_File Then
+ Begin
+ For I:=0 To Word_Pos+1 Do
+ Begin
+ For K:=0 To 3 Do One_Word[K]:=Last_Blocks[(4*I)+K];
+ Write(New_Pxl_File,One_Word);
+ End;
+ Report:Begin
+ For I:=0 To 30-Length(Font_Name) Do Write('.');
+ If IOR<>0 Then Writeln('File Not Found') Else
+ Begin
+ Writeln(New_File_Name);
+ Close(New_Pxl_File);
+ Close(Pxl_File);
+ End;
+ End;
+ End;
+ End;
+
+
+
+
+ (*** M A I N P R O G R A M ***)
+BEGIN
+
+ Banner;
+ Writeln;
+ Writeln('Give The Name Of File Containing The List Of Pxl Files: ');
+ Readln(File_Name);
+ Assign(Font_List_File,File_Name);
+ {$I-} Reset(Font_List_File) {$I+};
+ IOR:=IOresult;
+ If IOR<>0 Then Goto Report;
+ While Not Eof(Font_List_File) Do
+ Begin
+ Initialize;
+ Font_Name:='';
+ While Not Eoln(Font_List_File) Do
+ Begin
+ Read(Font_List_File,Ch);
+ Font_Name:=Font_Name+Ch;
+ End;
+ Readln(Font_List_File);
+ Write(Font_Name);
+ New_File_Name:=Copy(Font_Name,1,Pos('.',Font_Name)-1)+'.rxl';
+ Rewrite_Pxl_File(Font_Name,New_File_Name);
+ End;
+ Writeln;
+ Report: Begin
+ If IOR<>0 Then Writeln('File Not Found!') Else
+ Begin
+ Writeln('............Done!...........');
+ Close(Font_List_File);
+ End;
+ End;
+END.
diff --git a/fonts/apl/cmapl10.mf b/fonts/apl/cmapl10.mf
new file mode 100644
index 0000000000..64b68cd341
--- /dev/null
+++ b/fonts/apl/cmapl10.mf
@@ -0,0 +1,3174 @@
+
+%====================================================================
+% This material is from C M T E X 1 0 . M F
+%====================================================================
+
+% Computer Modern TeX extended ASCII characters for use with 10 point
+if unknown cmbase: input cmbase fi
+
+font_identifier:="CMAPL"; font_size 10pt#;
+
+u#:=21/36pt#; % unit width
+width_adj#:=0pt#; % width adjustment for certain characters
+serif_fit#:=0pt#; % extra sidebar near lowercase serifs
+cap_serif_fit#:=0pt#; % extra sidebar near uppercase serifs
+letter_fit#:=0pt#; % extra space added to all sidebars
+
+body_height#:=250/36pt#; % height of tallest characters
+asc_height#:=220/36pt#; % height of lowercase ascenders
+cap_height#:=220/36pt#; % height of caps
+fig_height#:=220/36pt#; % height of numerals
+x_height#:=155/36pt#; % height of lowercase without ascenders
+math_axis#:=110/36pt#; % axis of symmetry for math symbols
+bar_height#:=79/36pt#; % height of crossbar in lowercase e
+comma_depth#:=50/36pt#; % depth of comma below baseline
+desc_depth#:=80/36pt#; % depth of lowercase descenders
+
+crisp#:=22/36pt#; % diameter of serif corners
+tiny#:=22/36pt#; % diameter of rounded corners
+fine#:=21/36pt#; % diameter of sharply rounded corners
+thin_join#:=21/36pt#; % width of extrafine details
+hair#:=25/36pt#; % lowercase hairline breadth
+stem#:=25/36pt#; % lowercase stem breadth
+curve#:=25/36pt#; % lowercase curve breadth
+ess#:=22/36pt#; % breadth in middle of lowercase s
+flare#:=32/36pt#; % diameter of bulbs or breadth of terminals
+dot_size#:=36/36pt#; % diameter of dots
+cap_hair#:=25/36pt#; % uppercase hairline breadth
+cap_stem#:=25/36pt#; % uppercase stem breadth
+cap_curve#:=25/36pt#; % uppercase curve breadth
+cap_ess#:=25/36pt#; % breadth in middle of uppercase s
+rule_thickness#:=25/36pt#; % thickness of lines in math symbols
+
+dish#:=0pt#; % amount erased at top or bottom of serifs
+bracket#:=0pt#; % vertical distance from serif base to tangent
+jut#:=34/36pt#; % protrusion of lowercase serifs
+cap_jut#:=34/36pt#; % protrusion of uppercase serifs
+beak_jut#:=0pt#; % horizontal protrusion of beak serifs
+beak#:=34/36pt#; % vertical protrusion of beak serifs
+vair#:=22/36pt#; % vertical diameter of hairlines
+notch_cut#:=25/36pt#; % maximum breadth above or below notches
+bar#:=22/36pt#; % lowercase bar thickness
+slab#:=22/36pt#; % serif and arm thickness
+cap_bar#:=22/36pt#; % uppercase bar thickness
+cap_band#:=22/36pt#; % uppercase thickness above/below lobes
+cap_notch_cut#:=25/36pt#; % max breadth above/below uppercase notches
+serif_drop#:=0pt#; % vertical drop of sloped serifs
+stem_corr#:=0pt#; % for small refinements of stem breadth
+vair_corr#:=0pt#; % for small refinements of hairline height
+apex_corr#:=10/36pt#; % extra width at diagonal junctions
+
+o#:=4/36pt#; % amount of overshoot for curves
+apex_o#:=3/36pt#; % amount of overshoot for diagonal junctions
+
+%-------------------------------------------
+% (AH) the tilt ratio has been changed to 0.
+%-------------------------------------------
+
+slant:=0; % tilt ratio $(\Delta x/\Delta y)$
+fudge:=0.81; % factor applied to weights of heavy characters
+math_spread:=-1; % extra openness of math symbols
+superness:=1/sqrt2; % parameter for superellipses
+superpull:=0; % extra openness inside bowls
+beak_darkness:=0; % fraction of triangle inside beak serifs
+ligs:=0; % level of ligatures to be included
+
+square_dots:=false; % should dots be square?
+hefty:=true; % should we try hard not to be overweight?
+serifs:=true; % should serifs and bulbs be attached?
+monospace:=true; % should all characters have the same width?
+variant_g:=false; % should an italic-style g be used?
+low_asterisk:=true; % should the asterisk be centered at the axis?
+math_fitting:=false; % should math-mode spacing be used?
+
+
+
+
+%===============================================================
+% This material is from T E X S E T . M F
+%===============================================================
+
+
+
+% Special version of Computer Modern for \TeX's extended ASCII character set
+
+font_coding_scheme:="TeX extended ASCII";
+
+mode_setup; font_setup; mono_charic#:=0;
+
+
+ cmchar "An empty space"; % This character
+ beginchar(" ",8u#,0,0); % was entirely
+ adjust_fit(0,0); % defined by
+ endchar; % O J K .
+
+
+
+% These characters were copied from greekl.mf and
+% with character positions changed and italic corrections added to the width.
+
+
+cmchar "Lowercase Greek alpha for extended ASCII";
+beginchar(oct"004",11u#,x_height#,0);
+italcorr max(1/3x_height#*slant+.5hair#+.5u#,x_height#*slant-.5u#);
+adjust_fit(0,0); pickup fine.nib;
+pos0(hair,0); pos1(vair,-90); pos2(curve,-180); pos3(vair,-270);
+z4=(w-3.25u,9/16h); z5=(w-2.75u,.5[vair,y4]);
+numeric theta; theta=angle(z4-z5)-90;
+pos4(stem,theta); pos5(stem,theta);
+pos6(vair,90); pos7(hair,180);
+rt x0r=hround(w-u); x1=x3=.5w-u; lft x2r=hround(1.5u-.5curve);
+x6=w-u; x7+.5hair=hround(w+.5hair-eps);
+top y0=vround .8[bar_height,h]; bot y1r=bot y6l=-oo;
+y2=.5[y1,y3]; top y3r=h+oo; y7=1/4bar_height;
+filldraw stroke z0e{down}...pulled_arc.e(1,2) & pulled_arc.e(2,3)
+ ...z4e---z5e...z6e{right}...{up}z7e; % diagonal, bowl, and hook
+penlabels(0,1,2,3,4,5,6,7); endchar;
+
+
+
+
+ % Rejected(OJK) at this stage %
+% cmchar "Lowercase Greek epsilon"; %=============================%
+% beginchar(oct"002",8u#,x_height#,0);
+% italcorr x_height#*slant+.5hair#-2u#;
+% adjust_fit(0,0); pickup fine.nib;
+% pos0(bar,90); pos1(bar,90); pos2(curve,180);
+% pos3(vair,270); pos4(hair,300); pos6(bar,90); pos7(bar,90);
+% x1=.5w+.5u; x0=x1+u; lft x2r=hround(1.5u-.5curve); x3=.5[x0,x1];
+% x4r=good.x(w-u); x5=w+.5u; x6=x0; z7=z2l;
+% top y0r=top y1r=h; y2=y5=y6=bar_height; bot y3r=-oo;
+% path p; p=z3r{right}...{up}z5;
+% numeric t; t=ypart(((x4r,y3r)--(x4r,y5))intersectiontimes p);
+% y4r=ypart point t of p;
+% filldraw circ_stroke z0e..pulled_arc.e(1,2) & pulled_arc.e(2,3)
+% ..z4e{direction t of p}; % arc
+% filldraw circ_stroke z6e--z7e; % bar
+% penlabels(0,1,2,3,4,5,6,7); endchar;
+
+% This letter has been copied from ITALMS.MF as the
+% original iota from GREEKL.MF had only one hook (the
+% iota symbol in APL needs two)
+cmchar "iota";
+beginchar(oct"015",5u#,x_height#,0);
+italcorr 1/3x_height#*slant+.5hair#+.5u#;
+adjust_fit(if monospace:u#,u# else: 0,0 fi); pickup fine.nib;
+x0=0; x5=w; x2=.5w+.25u; x3=.5w-.25u;
+hook_in(0,1,2)(skewed); hook_out(3,4,5)(skewed); % hooks
+filldraw stroke z2e--z3e; % stem
+math_fit(-2/3x_height#*slant+.5hair#+.5u#,ic#);
+penlabels(0,1,2,3,4,5); endchar;
+
+cmchar "Lowercase Greek rho";
+beginchar(oct"014",8.25u#,x_height#,desc_depth#);
+italcorr .7x_height#*slant+.5curve#-u# if math_fitting:-.5u# fi;
+adjust_fit(0,0); pickup fine.nib;
+pos1(stem,180); pos2(stem,180); pos3(vair,90);
+pos4(curve,0); pos5(vair,-90); pos6(hair,-180);
+lft x2r=hround(1.5u-.5stem); x1=x2=x6; x3=x5=.5[x2,x4];
+rt x4r=hround(w-1.5u+.5curve);
+y1-.5stem=-d-o; y2=y4=y6=.5[y3,y5]; top y3r=h+oo; bot y5r=-oo;
+filldraw circ_stroke z1e..pulled_arc.e(2,3) & pulled_arc.e(3,4)
+ & pulled_arc.e(4,5) & pulled_arc.e(5,6); % stem and bowl
+penlabels(1,2,3,4,5,6); endchar;
+
+cmchar "Lowercase Greek omega";
+beginchar(oct"005",11u#,x_height#,0);
+italcorr x_height#*slant;
+adjust_fit(0,0); pickup fine.nib;
+pos2(hair,-180); lft x2r=hround.5u; y2=y4=y6=y8=bar_height;
+y1+.5hair=h; x1=x2+.75u; pos1(hair,angle(2(x1-x2),y1-y2)+90);
+pos3(vstem+dw,-90); pos4(hair,0); pos5(vair,90);
+pos6(hair,180); pos7(vstem+dw,270); pos8(hair,360);
+bot y3r=bot y7r=-oo; top y5r=vround(.2[y4,h]+.5vair);
+x3=.5[x2,x4]; x7+.25u=.5[x6,x8]; rt x8r=hround(w-.5u);
+x5+.5stem=hround(.5w+.5stem)+eps;
+x5=.5[x4,x6]; rt x4r-lft x6r=min(stem,2hair)+2eps;
+if x4l<x6l: x4l:=x6l:=x5; fi
+filldraw circ_stroke z1e{2(x2-x1),y2-y1}...z2e{down}...z3e{right}
+ ...{up}z4e...{left}z5e; % left arc
+filldraw stroke z5e{left}...z6e{down}...z7e{right}...{up}z8e; % right arc
+v_bulb(8,9); % closing bulb
+penlabels(0,1,2,3,4,5,6,7,8,9);
+endchar;
+
+%=================================================================
+% (the end of Greek characters for APL)
+%=================================================================
+
+
+currenttransform:=identity yscaled aspect_ratio scaled granularity;
+
+
+
+%==================================================================
+% from R O M A N D . M F
+%==================================================================
+
+% Computer Modern Roman digits:
+% Character codes \0060 through \0071 are generated.
+
+% All digits have the same height, width, depth, and italic correction.
+
+cmchar "The numeral 0";
+beginchar("0",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+penpos1(vair,90); penpos3(vair,-90); penpos2(curve,180); penpos4(curve,0);
+if not monospace: interim superness:=sqrt(more_super*hein_super); fi
+x2r=hround max(.7u,1.45u-.5curve); x4r=w-x2r; x1=x3=.5w;
+y1r=h+o; y3r=-o; y2=y4=.5h-vair_corr; y2l:=y4l:=.52h;
+penstroke pulled_arc.e(1,2) & pulled_arc.e(2,3)
+ & pulled_arc.e(3,4) & pulled_arc.e(4,1) & cycle; % bowl
+penlabels(1,2,3,4); endchar;
+
+cmchar "The numeral 1";
+beginchar("1",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric light_stem; light_stem=hround .4[stem',cap_stem'];
+pickup tiny.nib;
+pos1(light_stem,0); pos2(light_stem,0);
+lft x1l=lft x2l=hround(.5(w+.5u)-.5cap_stem'); top y1=h+o; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+if not serifs: save slab; slab=bar; fi
+dish_serif(2,1,a,1/3,min(2.25u,lft x2l-1.5u),
+ b,1/3,min(2.25u,w-1.25u-rt x2r)); % serif
+pickup crisp.nib; pos3(slab,-90); pos4(bar,-90);
+top y3l=h+o; top y4l=if monospace: .8 else: .9 fi\\ h+o;
+lft x4=max(1.25u,tiny.lft x1l-2.35u);
+tiny.rt x1r=lft x3+.25[tiny,hair];
+erase fill z3l{x4l-x3l,3(y4l-y3l)}...z4l{left}
+ --(x4l,h+o+1)--(x3l,h+o+1)--cycle; % erase excess at top
+filldraw stroke z3e{x4e-x3e,3(y4e-y3e)}..z4e{left}; % point
+penlabels(1,2,3,4); endchar;
+
+cmchar "The numeral 2";
+beginchar("2",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric arm_thickness, hair_vair; hair_vair=.25[vair,hair];
+arm_thickness=Vround(if hefty:slab+2stem_corr else:.4[stem,cap_stem] fi);
+pickup crisp.nib; pos7(arm_thickness,-90); pos8(hair,0);
+bot y7r=0; lft x7=hround .9u; rt x8r=hround(w-.9u); y8=good.y(y7l+beak/2)+eps;
+arm(7,8,a,.3beak_darkness,beak_jut); % arm and beak
+pickup fine.nib; pos2(slab,90); pos3(.4[curve,cap_curve],0);
+top y2r=h+o; x2=.5(w-.5u); rt x3r=hround(w-.9u); y3+.5vair=.75h;
+if serifs: numeric bulb_diam; bulb_diam=hround(flare+2/3(cap_stem-stem));
+ pos0(bulb_diam,180); pos1(cap_hair,180);
+ lft x1r=hround .9u; y1-.5bulb_diam=2/3h;
+ (x,y2l)=whatever[z1l,z2r]; x2l:=x; bulb(2,1,0); % bulb and arc
+else: x2l:=x2l-.25u; pos1(flare,angle(-9u,h));
+ lft x1r=hround .75u; bot y1l=vround .7h; y1r:=good.y y1r+eps; x1l:=good.x x1l;
+ filldraw stroke term.e(2,1,left,.9,4); fi % terminal and arc
+pos4(.25[hair_vair,cap_stem],0);
+pos5(hair_vair,0); pos6(hair_vair,0);
+y5=arm_thickness; y4=.3[y5,y3]; top y6=min(y5,slab,top y7l);
+lft x6l=crisp.lft x7; z4l=whatever[z6l,(x3l,bot .58h)]; z5l=whatever[z6l,z4l];
+erase fill z4l--z6l--lft z6l--(lft x6l,y4l)--cycle; % erase excess at left
+filldraw stroke z2e{right}..tension atleast .9 and atleast 1
+ ..z3e{down}.. z4e---z5e--z6e; % stroke
+penlabels(0,1,2,3,4,5,6,7,8); endchar;
+
+cmchar "The numeral 3";
+beginchar("3",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric top_thickness,mid_thickness,bot_thickness;
+top_thickness=max(fine.breadth,vround(slab-2vair_corr));
+mid_thickness=max(fine.breadth,vround 2/3vair);
+bot_thickness=max(fine.breadth,vround(slab-vair_corr));
+pickup fine.nib; pos2(top_thickness,90); top y2r=h+o;
+pos3(max(fine.breadth,.6[curve,cap_curve]-stem_corr),0);
+rt x3r=hround(w-1.25u);
+pos4(vair,-90); pos5(vair,-90);
+pos6(mid_thickness,90); x2=x6=x8=.5[1.5u,x7];
+pos7(cap_curve,0); rt x7r=hround(w-.75u); lft x5=min(hround 3u,lft x6)-eps;
+pos8(bot_thickness,-90); bot y8r=-o;
+y3=.6[top y4l,bot y2l]; y7=.5[bot y6l,top y8l];
+top y5l=vround(.54h+.5vair); y5r=y6l;
+x4=1/3[x5,x3l]; z4=z5+whatever*(150u,h);
+filldraw stroke pulled_super_arc.e(2,3)(.5superpull)
+ & z3e{down}...z4e---z5e; % upper bowl
+filldraw z5r--z6l--z6r--z5l---cycle; % middle tip
+filldraw stroke pulled_super_arc.e(6,7)(.5superpull)
+ & pulled_super_arc.e(7,8)(.5superpull); % lower bowl
+if serifs: numeric bulb_diam[];
+ bulb_diam1=flare+.5(cap_stem-stem); bulb_diam2=flare+cap_stem-stem;
+ pos0(bulb_diam1,180); pos1(hair,180);
+ lft x0r=hround 1.25u; y0=min(.9h-.5bulb_diam1,.75h+.5bulb_diam1);
+ bulb(2,1,0); % upper bulb
+ pos10(bulb_diam2,-180); pos9(cap_hair,-180);
+ lft x10r=hround .75u; y10=max(.1h+.5bulb_diam2,.3h-.5bulb_diam2);
+ bulb(8,9,10); % lower bulb
+else: pos1(.5[vair,flare],angle(-8u,h));
+ lft x1r=hround u; bot y1l=vround .75h+o;
+ y1r:=good.y y1r+eps; x1l:=good.x x1l;
+ pos9(bot_thickness,angle(-2u,-h));
+ lft x9r=hround .75u; top y9l=vround .25h-o;
+ y9r:=good.y y9r-eps; x9l:=good.x x9l;
+ filldraw stroke term.e(2,1,left,1,4); % upper terminal
+ filldraw stroke term.e(8,9,left,1,4); fi % lower terminal
+penlabels(0,1,2,3,4,5,6,7,8,9,10); endchar;
+
+cmchar "The numeral 4";
+beginchar("4",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric light_stem, light_stem', diag_stem, alpha, cut; cut=.75notch_cut;
+light_stem=hround .4[fudged.stem,fudged.cap_stem];
+light_stem'=hround max(tiny.breadth,light_stem-2stem_corr);
+diag_stem=max(tiny.breadth,.4[vair,fudged.hair]);
+pickup crisp.nib; pos5(cap_bar,90); pos6(cap_bar,90);
+lft x5=hround .5u; rt x6=hround(w-.5u);
+top y5r=vround(if serifs: 5/18[slab,h-light_stem]+1
+ else:.35(h-light_stem) fi+.5cap_bar);
+z4l=top lft z5r; y2=y2'=y5=y6; x1r=x2r=hround(w-3u+.5light_stem);
+penpos1(light_stem',0); penpos2(light_stem',0); y1=y3=h+apex_o+apex_oo;
+x3r+apex_corr=x1r; alpha=diag_ratio(1,diag_stem,y3-y4l,x3r-x4l);
+penpos3(alpha*diag_stem,0); penpos4(alpha*diag_stem,0);
+x0=x1l; z0=whatever[z3r,z4r];
+x5'=x5; z5''=z5'+penoffset z4-z3 of currentpen=whatever[z4l,z3l];
+fill diag_end(2r,1r,1,.5,3l,4l)---z5''...lft z5'
+ ---lft z5l -- (x4r,y5l) -- z4r
+ if y0<h-cut:{z3r-z4r}...{up}(x1l-1,h-cut)
+ --(x1l,h-cut) else: -- z0 fi
+ --z2l--z2r--cycle; % diagonal and upper stem
+filldraw stroke z5e--z6e; % bar
+pickup tiny.nib; pos7(light_stem,0); rt x7r=x1r; bot y7=0;
+pos2'(light_stem,0); x2'=x7;
+filldraw stroke z2'e--z7e; % lower stem
+if serifs: dish_serif(7,2',a,1/3,1.75u,
+ b,1/3,min(1.75u,w-.5u-rt x7r)); fi % serif
+penlabels(0,1,2,3,4,5,6,7); endchar;
+
+cmchar "The numeral 5";
+beginchar("5",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric bot_thickness,light_hair;
+bot_thickness=max(fine.breadth,vround(slab-vair_corr));
+light_hair=hround(cap_hair if hefty: -\\2stem_corr fi);
+pickup tiny.nib; pos5(vair,180); pos6(vair,90);
+bot y5=vround(.53h-vair); top y6r=max(vround .61803h+o,top y6r+y5+eps-y6l);
+pos3(light_hair,0); pos4(light_hair,0);
+lft x3l=max(1.35u,2.1u-.5light_hair); x3=x4=x5; y4=y5;
+top y3=h if not hefty: +\\o fi;
+filldraw stroke z3e--z4e; % thin stem
+penpos7(cap_stem-fine,0); penpos8(bot_thickness-fine,-90);
+fine.rt x7r=hround(w-.9u); x8=.5[u,x7]; x6=.5[x5,x7];
+erase fill z5--bot z5--(x6,bot y5)--z6{left}
+ ..tension .9 and 1..{x5-x6,3(y5-y6)}cycle; % erase excess in middle
+filldraw stroke z6e{left}..tension .9 and 1..{x5-x6,3(y5-y6)}z5e; % link
+pickup fine.nib; pos6'(vair,90); z6'=z6;
+y7=.5[y6,y8]; bot y8r=-o;
+filldraw stroke pulled_arc.e(6',7) & pulled_arc.e(7,8); % bowl
+if serifs: pos9(hair,-180); y9=.5y5; lft x9r=hround .9u;
+ pos10(flare+1/3(cap_stem-stem),-180); bulb(8,9,10); % bulb
+else: pos9(3/7[bot_thickness,flare],angle(-7u,-h));
+ lft x9r=hround(tiny.lft x3l-.75u); bot y9r=vround .15h-o;
+ x9l:=good.x x9l; y9l:=good.y y9l;
+ filldraw stroke term.e(8,9,left,1,4); fi % terminal
+if hefty: pickup crisp.nib; pos1(slab,90); pos2(hair,0);
+ top y1r=h; x1=x4; rt x2r=hround(w-1.5u); y2=y1l-eps;
+ arm(1,2,a,0,0); % arm
+else: numeric flag_breadth; flag_breadth=7/8[vair,cap_curve];
+ pos1(flag_breadth,90); pos2(flag_breadth,60);
+ pos0(vair,90); top y1r=tiny.top y3; top y2r=vround .95h+o; y0r=y1r;
+ lft x1=tiny.lft x3l; x2r=.5[x1,x0]; rt x0=hround(w-1.6u);
+ erase fill top z1r--z1r...{right}z2r
+ --(x2r,top y1r)--cycle; % erase excess at top
+ filldraw stroke z1e...{right}z2e...z0e; fi % flag
+penlabels(0,1,2,3,4,5,6,7,8,9,10); endchar;
+
+cmchar "The numeral 6";
+beginchar("6",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric top_thickness,bot_thickness,side_thickness,pull;
+top_thickness=max(fine.breadth,vround(slab-2vair_corr));
+bot_thickness=max(fine.breadth,vround(slab-vair_corr));
+side_thickness=max(fine.breadth,hround 1/3[curve,cap_curve]);
+pull=min(.25,1.5superpull);
+pickup fine.nib; pos2(top_thickness,-270);
+pos3(side_thickness,-180); pos4(bot_thickness,-90);
+pos5(side_thickness,0); pos6(vair,90);
+lft x3r=w-rt x5r=hround max(.75u,1.5u-.5side_thickness);
+x4=x6-.1u=x2-u=.5w;
+top y2r=h+o; y3=.5[y2,y4]; bot y4r=-o;
+y5=.5[y4,y6]; top y6=vround 5/8h+o;
+path p; p=pulled_super_arc.l(3,4)(pull);
+numeric t; t=xpart(p intersectiontimes((x3r,y5)--(x4,y5)));
+pos7(thin_join,180); z7l=point t of p;
+(x,y6r)=whatever[z7l,z6l]; x6r:=min(x,.5[x5r,x6]);
+filldraw stroke pulled_super_arc.e(2,3)(pull)
+ & {{interim superness:=more_super; pulled_super_arc.e(3,4)(pull)}}
+ & {{less_tense; pulled_super_arc.e(4,5)(pull) & pulled_super_arc.e(5,6)(pull)}}
+ & z6e{left}...{direction t of p}z7e; % arc and bowl
+if serifs: pos1(hair,-360); pos0(flare,-360);
+ rt x0r=max(rt x2+eps,hround(w-1.2u));
+ y0=vround min(.9h-.5flare,.85h+.5flare)+o;
+ {{less_tense; bulb(2,1,0)}}; % arc and bulb
+else: pos1(vround .1[top_thickness,flare],90);
+ top y1r=vround .97h+o; rt x1=hround(x5-.5);
+ filldraw stroke term.e(2,1,right,.9,4); fi % terminal
+penlabels(0,1,2,3,4,5,6,7); endchar;
+
+cmchar "The numeral 7";
+beginchar("7",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric arm_thickness, bot_width, top_shift, top_hair;
+if hefty: arm_thickness=Vround(slab+2stem_corr); top_shift=0;
+ bot_width=hround .51[curve,cap_curve]; top_hair=.4[thin_join,bot_width];
+else: arm_thickness=Vround .4[stem,cap_stem]; top_shift=.5u;
+ bot_width=flare; top_hair=cap_hair; fi
+if top_hair<tiny.breadth: top_hair:=tiny.breadth; fi
+pickup crisp.nib; pos2(arm_thickness,90); pos1(hair,180);
+top y2r=h; rt x2=hround(w-.75u+top_shift);
+lft x1r=hround(.75u+.5top_shift); y1=good.y(y2l-beak/2)-eps;
+arm(2,1,a,.3beak_darkness,-beak_jut); % arm and beak
+pos3(hair,180); y3=good.y(y2r+beak/6)+eps; z3r=whatever[z1r,z.a0];
+penpos2'(eps,-90); z2'=z2r;
+arm(2',3,b,beak_darkness,x3r-x.a0); % upward extension of beak
+pickup tiny.nib; pos4(top_hair,0); pos6(bot_width,0);
+bot y4=max(h-arm_thickness,h-slab,bot y2l); rt x4r=crisp.rt x2;
+lft x6l=hround(3.5u+top_shift-.5bot_width);
+if serifs: y6-.5bot_width=-o; filldraw z6l{down}..{up}z6r--cycle; % bulb
+else: bot y6=-oo; fi
+if hefty: erase fill rt z4r--z4r...{down}z6r
+ --(rt x4r,y6)--cycle; % erase excess at top
+ filldraw stroke z4e...{down}z6e; % stroke
+else: pos5(top_hair,0); y5=2/3h; z5=whatever[z4,(.75u,y6)];
+ erase fill rt z4r--z4r--z5r--(rt x4r,y5)--cycle; % erase excess at top
+ filldraw stroke z4e---z5e...{down}z6e; fi % stroke
+penlabels(1,2,3,4,5,6); endchar;
+
+cmchar "The numeral 8";
+beginchar("8",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric top_thickness,mid_thickness,bot_thickness,upper_side,lower_side,theta;
+top_thickness=max(fine.breadth,vround(slab-2vair_corr));
+bot_thickness=max(fine.breadth,vround(slab-vair_corr));
+x0=.5w; y0=.54h;
+if hefty: mid_thickness=vround 2/3vair; upper_side=hround(stem-3stem_corr);
+ lower_side=hround min(.5[curve,cap_curve]-stem_corr,upper_side+.25u);
+ penpos1(top_thickness,90); penpos2(upper_side,180);
+ penpos3(mid_thickness,270); penpos8(upper_side,360);
+ penpos4(mid_thickness,90); penpos7(lower_side,180);
+ penpos6(bot_thickness,270); penpos5(lower_side,360);
+ penpos0(vair,90); z3l=z0r; z4l=z0l;
+ x1=x6=.5w; x2r=w-x8r=hround u; x7r=w-x5r=hround .75u;
+ top y1r=h+o; bot y6r=-o; y2=y8=.5[y1l,y3l]; y7=y5=.5[y4l,y6l];
+ filldraw stroke pulled_arc.e(1,2)
+ & pulled_arc.e(2,3); % left half of upper bowl
+ filldraw stroke pulled_arc.e(4,5)
+ & pulled_arc.e(5,6); % right half of lower bowl
+ filldraw stroke pulled_arc.e(6,7)
+ & pulled_arc.e(7,4); % left half of lower bowl
+ filldraw stroke pulled_arc.e(3,8)
+ & pulled_arc.e(8,1); % right half of upper bowl
+else: pickup fine.nib; theta=90-angle(18u,h); slope:=-h/18u;
+ upper_side=max(fine.breadth,hround(.5[hair,stem]-stem_corr));
+ lower_side=hround(.5[hair,stem]+stem_corr);
+ pos1(top_thickness,-90); pos6(bot_thickness,-90);
+ x1=x6=.5w; top y1l=h+o; bot y6r=-o; pos0(cap_stem,theta);
+ lft x2l=w-rt x8l=hround 1.25u; lft x7r=w-rt x5r=hround .75u;
+ x2r-x2l=upper_side-fine; x5r-x5l=lower_side-fine;
+ ellipse_set(1l,2l,3l,0l); ellipse_set(1r,2r,3r,0r);
+ ellipse_set(6l,5l,4l,0l); ellipse_set(6r,5r,4r,0r);
+ numeric tau; tau=max(.8,.20710678/(superness-.5));
+ filldraw stroke z1e{left}..tension atleast tau..z2e{down}
+ ..z3e---z4e..z5e{down}..tension atleast tau..z6e{left}; % S stroke
+ pos7(lower_side,180); pos8(upper_side,180);
+ y7=.5[y5l,y5r]; y8=.5[y2l,y2r]; pos9(vair,90); z9=z0;
+ filldraw stroke z1e{right}..tension atleast tau..z8e{down}
+ ..tension atleast tau and atleast 1..{-18u,-.618h}z9e; % upper right stroke
+ filldraw stroke z6e{left}..tension atleast tau..z7e{up}
+ ..tension atleast tau and atleast 1..{18u,.5h}z9e; fi % lower left stroke
+penlabels(0,1,2,3,4,5,6,7,8,9); endchar;
+
+cmchar "The numeral 9";
+beginchar("9",9u#,fig_height#,0);
+italcorr fig_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric top_thickness,bot_thickness,side_thickness,pull;
+top_thickness=max(fine.breadth,vround(slab-2vair_corr));
+bot_thickness=max(fine.breadth,vround(slab-vair_corr));
+side_thickness=max(fine.breadth,hround 1/3[curve,cap_curve]);
+pull=min(.25,1.5superpull);
+pickup fine.nib; pos2(bot_thickness,-90);
+pos3(side_thickness,0); pos4(top_thickness,90);
+pos5(side_thickness,180); pos6(vair,270);
+w-rt x3r=lft x5r=hround max(.75u,1.5u-.5side_thickness);
+x4-.1u=x6+.1u=x2+.75u=.5w;
+bot y2r=-o; y3=.5[y2,y4]; top y4r=h+o;
+y5=.5[y4,y6]; bot y6=vround 3/8h-o;
+path p; p=pulled_super_arc.l(3,4)(pull);
+numeric t; t=xpart(p intersectiontimes((x3r,y5)--(x4,y5)));
+pos7(thin_join,360); z7l=point t of p;
+(x,y6r)=whatever[z7l,z6l]; x6r:=max(x,.5[x5r,x6]);
+filldraw stroke pulled_super_arc.e(2,3)(pull)
+ & {{interim superness:=more_super; pulled_super_arc.e(3,4)(pull)}}
+ & {{less_tense; pulled_super_arc.e(4,5)(pull) & pulled_super_arc.e(5,6)(pull)}}
+ & z6e{right}...{direction t of p}z7e; % arc and bowl
+if serifs: pos1(hair,-180); pos0(flare,-180);
+ lft x0r=min(lft x2-eps,hround 1.2u);
+ y0=vround max(.1h+.5flare,.15h-.5flare)-o;
+ {{less_tense; bulb(2,1,0)}}; % arc and bulb
+else: pos1(.1[bot_thickness,flare],-120);
+ bot y1r=vround .07h-o; lft x1r=hround 1.3u;
+ filldraw stroke term.e(2,1,left,.9,4); fi % terminal
+penlabels(0,1,2,3,4,5,6,7); endchar;
+
+ % R O M A N D ends %
+
+%=======================================================================
+% from P U N C T . M F
+%=======================================================================
+
+
+cmchar "Exclamation point";
+beginchar("!",5u#+width_adj#,asc_height#,0);
+italcorr asc_height#*slant-2u#-.5width_adj#+.5dot_size#;
+adjust_fit(0,0);
+pickup tiny.nib; pos3(dot_size,0); pos4(dot_size,90);
+lft x3l=hround(.5w-.5dot_size); bot y4l=0; z3=z4; dot(3,4); % dot
+numeric bot_width;
+bot_width=if hefty:max(hround .8dot_size,fine.breadth) else: hair fi;
+pickup fine.nib; pos1(dot_size,0); pos2(bot_width,0);
+x1=x2=x3; bot y2=.25[top y4r,x_height]+1;
+if square_dots: top y1=h;
+ filldraw stroke z1e--z2e; % stem
+else: top z0=(x1,h+o); y1+.5dot_size=h+o;
+ filldraw z1r...z0...z1l---z2l--z2r---cycle; fi % stem and bulb
+penlabels(0,1,2,3,4); endchar;
+
+cmchar "Left parenthesis";
+beginchar("(",7u# if monospace: -u# fi,body_height#,paren_depth#);
+italcorr body_height#*slant-.5u#;
+adjust_fit(0,0); pickup fine.nib;
+pos1(vair,0); pos2(.75[hair,stem],0); pos3(vair,0);
+rt x1r=rt x3r=hround(w-u); lft x2l=hround(x1-4u if monospace: +4/3u fi);
+top y1=h; y2=.5[y1,y3]=math_axis;
+filldraw stroke z1e{3(x2e-x1e),y2-y1}...z2e
+ ...{3(x3e-x2e),y3-y2}z3e; % arc
+penlabels(1,2,3); endchar;
+
+cmchar "Right parenthesis";
+beginchar(")",7u# if monospace: -u# fi,body_height#,paren_depth#);
+italcorr math_axis#*slant-.5u#;
+adjust_fit(0,0); pickup fine.nib;
+pos1(vair,0); pos2(.75[hair,stem],0); pos3(vair,0);
+lft x1l=lft x3l=hround u; rt x2r=hround(x1+4u if monospace: -4/3u fi);
+top y1=h; y2=.5[y1,y3]=math_axis;
+filldraw stroke z1e{3(x2e-x1e),y2-y1}...z2e
+ ...{3(x3e-x2e),y3-y2}z3e; % arc
+penlabels(1,2,3); endchar;
+
+cmchar "Five-pointed star";
+beginchar("*",9u#,v_center(x_height#));
+adjust_fit(0,0); pickup crisp.nib;
+numeric theta; theta=360/5; % degrees between points
+pos0(curve,0); pos1(rule_thickness,90); x0=x1=good.x .5w;
+top y1r=vround(math_axis+.4x_height+.5rule_thickness); %@ .5 by .4
+ypart(.5[z1,z0+(z1-z2) rotated 2theta])=math_axis;
+pos2(curve,theta); pos3(rule_thickness,90+theta);
+z2=z0; z3-z0=(z1-z0) rotated theta;
+z4=whatever[z0l,z1r]=whatever[z2r,z3r];
+filldraw for n=0 upto 4:
+ z0+(z1r-z0)rotated(n*theta)--z0+(z4-z0)rotated(n*theta)--endfor
+ cycle; % star
+penlabels(0,1,2,3,4); endchar;
+
+cmchar "Plus sign";
+beginarithchar("+"); pickup light_rule.nib;
+x1=x2=good.x .5w; top y1=h+eps; .5[y1,y2]=math_axis;
+lft x3=hround u-eps; x4=w-x3; y3=y4=math_axis;
+draw z1--z2; % stem
+draw z3--z4; % crossbar
+labels(1,2,3,4); endchar;
+
+cmchar "Comma";
+numeric dot_diam#; dot_diam#=if monospace: 5/4 fi\\ dot_size#;
+define_whole_blacker_pixels(dot_diam);
+beginchar(",",5u#,dot_diam#,comma_depth#);
+adjust_fit(0,0);
+x1-.5dot_diam=hround(.5w-.5dot_diam); y1-.5dot_diam=0;
+comma(1,a,dot_diam,.2u,comma_depth); % dot and tail
+penlabels(1); endchar;
+
+cmchar "Period";
+numeric dot_diam#; dot_diam#=if monospace: 5/4 fi\\ dot_size#;
+define_whole_blacker_pixels(dot_diam);
+beginchar(".",5u#,dot_diam#,0);
+adjust_fit(0,0); pickup fine.nib;
+pos1(dot_diam,0); pos2(dot_diam,90);
+lft x1l=hround(.5w-.5dot_diam); bot y2l=0; z1=z2; dot(1,2); % dot
+penlabels(1,2); endchar;
+
+cmchar "Virgule (slash)";
+beginchar("/",9u#,body_height#,paren_depth#);
+italcorr body_height#*slant-.5u#;
+adjust_fit(0,0); pickup light_rule.nib;
+rt x1=hround(w-u)+eps; top y1=h+eps;
+lft x2=hround u-eps; bot y2=-d-eps;
+draw z1--z2; % diagonal
+penlabels(1,2); endchar;
+
+cmchar "Colon";
+numeric dot_diam#; dot_diam#=if monospace: 5/4 fi\\ dot_size#;
+define_whole_blacker_pixels(dot_diam);
+beginchar(":",5u#,x_height#,0);
+italcorr x_height#*slant+.5dot_diam#-2u#;
+adjust_fit(0,0); pickup fine.nib;
+pos1(dot_diam,0); pos2(dot_diam,90);
+lft x1l=hround(.5w-.5dot_diam); top y2r=h; z1=z2; dot(1,2); % upper dot
+pos3(dot_diam,0); pos4(dot_diam,90);
+x3=x1; bot y4l=0; z3=z4; dot(3,4); % lower dot
+penlabels(1,2,3,4); endchar;
+
+cmchar "Semicolon";
+numeric dot_diam#; dot_diam#=if monospace: 5/4 fi\\ dot_size#;
+define_whole_blacker_pixels(dot_diam);
+beginchar(";",5u#,x_height#,comma_depth#);
+italcorr x_height#*slant+.5dot_diam#-2u#;
+adjust_fit(0,0); pickup fine.nib;
+pos1(dot_diam,0); pos2(dot_diam,90);
+lft x1l=hround(.5w-.5dot_diam); top y2r=h; z1=z2; dot(1,2); % upper dot
+x3-.5dot_diam=hround(.5w-.5dot_diam); y3-.5dot_diam=0;
+comma(3,a,dot_diam,.05u,comma_depth); % lower dot and tail
+penlabels(1,2,3); endchar;
+
+cmchar "Equals sign";
+compute_spread(.45x_height#,.55x_height#);
+beginchar("=",14u#,v_center(spread#+rule_thickness#));
+italcorr h#*slant-.5u#;
+adjust_fit(0,0); pickup light_rule.nib;
+lft x1=hround u-eps; x3=x1; x2=x4=w-x1;
+y1=y2; y3=y4; y1-y3=spread; .5[y1,y3]=math_axis;
+draw z1--z2; % upper bar
+draw z3--z4; % lower bar
+labels(1,2,3,4); endchar;
+
+
+cmchar "Left bracket";
+numeric wd#; wd#=max(5u#,4.5u#+.5if hefty:stem# else:rule_thickness# fi);
+beginchar("[",wd#,body_height#,paren_depth#);
+italcorr body_height#*slant;
+adjust_fit(0,0);
+numeric top_thickness,side_thickness;
+if hefty: top_thickness=vair;
+ side_thickness=max(crisp.breadth,stem-2stem_corr);
+else: top_thickness=side_thickness=rule_thickness; fi;
+pickup crisp.nib; pos1(side_thickness,0); pos2(side_thickness,0);
+top y1=h; bot y2=-d; lft x1l=lft x2l=hround(2.5u-.5side_thickness)-1-eps;
+filldraw stroke z1e--z2e; % stem
+pos3(top_thickness,90); pos4(top_thickness,90);
+pos5(top_thickness,90); pos6(top_thickness,90);
+x3=x5=x1l; rt x4=rt x6=ceiling(w-.4u)+eps; y3r=y4r=y1; y5l=y6l=y2;
+filldraw stroke z3e--z4e; % upper bar
+filldraw stroke z5e--z6e; % lower bar
+penlabels(1,2,3,4,5,6); endchar;
+
+cmchar "Right bracket";
+numeric wd#; wd#=max(5u#,4.5u#+.5if hefty:stem# else:rule_thickness# fi);
+beginchar("]",wd#,body_height#,paren_depth#);
+italcorr body_height#*slant-2u#+.5if hefty:stem# else:rule_thickness# fi;
+adjust_fit(0,0);
+numeric top_thickness,side_thickness;
+if hefty: top_thickness=vair;
+ side_thickness=max(crisp.breadth,stem-2stem_corr);
+else: top_thickness=side_thickness=rule_thickness; fi;
+pickup crisp.nib; pos1(side_thickness,0); pos2(side_thickness,0);
+top y1=h; bot y2=-d; rt x1r=rt x2r=hround(w-2.5u+.5side_thickness)+1+eps;
+filldraw stroke z1e--z2e; % stem
+pos3(top_thickness,90); pos4(top_thickness,90);
+pos5(top_thickness,90); pos6(top_thickness,90);
+x3=x5=x1r; lft x4=lft x6=floor .4u-eps; y3r=y4r=y1; y5l=y6l=y2;
+filldraw stroke z3e--z4e; % upper bar
+filldraw stroke z5e--z6e; % lower bar
+penlabels(1,2,3,4,5,6); endchar;
+
+
+ % P U N C T ends %
+
+
+%=======================================================================
+% from R O M A N P . M F
+%=======================================================================
+
+cmchar "Dollar sign";
+beginchar("$",9u#,body_height#,body_height#-asc_height#);
+italcorr fig_height#*slant-.5u#; % same as for digits
+adjust_fit(0,0);
+numeric theta; theta=90-angle(50u,asc_height); slope:=-asc_height/50u;
+pickup fine.nib; pos2(slab,-90);
+pos0(cap_stem,theta); pos7(slab,-90);
+x2=x0=x7=.5w; top y2l=asc_height+oo; bot y7r=-oo;
+y0=.52asc_height; lft x3l=hround u; rt x6r=hround(w-u);
+x3r-x3l=x6r-x6l=hround .35[slab,cap_stem]-fine;
+ellipse_set(2l,3l,4l,0l); ellipse_set(2r,3r,4r,0r); y3=y3r;
+ellipse_set(7l,6l,5l,0l); ellipse_set(7r,6r,5r,0r); y6=y6r;
+filldraw stroke super_arc.e(2,3) & z3e{down}
+ ..z4e---z5e..z6e{down} & super_arc.e(6,7); % main stroke
+if serifs: pos1(hair,0); pos8(hair,180);
+ pos10(flare,0); pos9(flare,180);
+ rt x1r=hround(w-u); lft x8r=hround u; y1=.5[y0,y2]; y8=.5[y0,y7];
+ {{less_tense; pos2'(slab,90); z2'=z2; bulb(2',1,10); % upper arc and bulb
+ bulb(7,8,9)}}; % lower arc and bulb
+else: pos1(.6[slab,flare],-100); pos8(flare,-100);
+ rt x1l=hround(w-1.3u); lft x8r=hround .8u;
+ top y1l=vround .92asc_height+oo; bot y8r=vround .1asc_height-oo;
+ filldraw stroke term.e(2,1,right,.9,4); % upper arc and terminal
+ filldraw stroke term.e(7,8,left,1,4); fi % lower arc and terminal
+pickup crisp.nib; pos12(bar,0); pos11(bar,0);
+lft x12l=lft x11l=hround(.5w-.5bar); top y12=h; bot y11=-d;
+filldraw stroke z12e--z11e; % vertical crossbar
+penlabels(0,1,2,3,4,5,6,7,8,9,10,11,12); endchar;
+
+cmchar "Question mark";
+beginchar("?",8.5u#,asc_height#,0);
+italcorr .8asc_height#*slant;
+adjust_fit(0,0);
+pickup tiny.nib; pos7(dot_size,0); pos8(dot_size,90);
+lft x7l=hround(.5w-.25u-.5dot_size); bot y8l=0; z7=z8; dot(7,8); % dot
+numeric bot_width;
+bot_width=if hefty:max(hround .8dot_size,fine.breadth) else: hair fi;
+pickup fine.nib; pos2(vair,90); pos3(curve,0);
+pos4(vair,-90); pos5(bot_width,0); pos6(bot_width,0);
+x2=x4=x5=x6=x7; rt x3r=hround(w-u); bot y6=1+.25[top y8r,x_height];
+top y2r=h+oo; y3=.75[y6,y2]; y4=.5[y6,y2]; y5=.1[y6,y2];
+{{interim superness:=more_super;
+filldraw stroke pulled_super_arc.e(2,3)(superpull)
+ & subpath (0,1) of super_arc.e(3,4) .. z5e---z6e\\}}; % arc and stem
+if serifs: pos1(hair,180); pos0(flare,180);
+ lft x1r=hround u; y1=y3; bulb(2,1,0); % bulb
+else: pos1(Vround 5/7[vair,flare],110);
+ lft x1r=hround u; top y1r=vround .9[y6,top y2r];
+ filldraw stroke term.e(2,1,left,1,4); fi % terminal
+penlabels(0,1,2,3,4,5,6,7,8); endchar;
+
+ % R O M A N P ends %
+
+%=======================================================================
+% from T S E T
+%=======================================================================
+
+
+% Special characters for ``extended ASCII character set'' fonts
+
+
+dieresis=oct"007"; % (AH) this is the high double dot in APL
+high_minus=oct"025"; % (AH) this is the high minus symbol in APL
+elt=oct"006";
+down_arrow=oct"037";
+meet=oct"046";
+comment=oct"042"; % (OJK) This is the comment symbol in APL.
+up_arrow=oct"136";
+subset=oct"022";
+superset=oct"023";
+cap=oct"021";
+cup=oct"020";
+left_arrow=oct"137";
+right_arrow=oct"036";
+neq=oct"027";
+negation=oct"026";
+diamond=oct"011";
+leq=oct"012";
+geq=oct"013";
+join=oct"010";
+minus=oct"055";
+less=oct"074";
+greater=oct"076";
+backslash=oct"134";
+underbar=oct"024";
+left_brace=oct"173";
+vertical=oct"174";
+right_brace=oct"175";
+
+
+%=====================================================================
+% from S Y M
+%=====================================================================
+
+
+iff known minus: cmchar "Minus sign";
+beginarithchar(minus); pickup light_rule.nib;
+lft x1=hround 1.5u-eps; x2=w-x1; y1=y2=math_axis;
+draw z1--z2; % bar
+labels(1,2); endchar;
+
+% iff known high_minus: cmchar "High minus sign";
+% beginchar(high_minus,12u#,asc_height#,0);
+% pickup light_rule.nib; % light rule, since high_minus is like a superscript
+% lft x1=.5*w; x2=w; y1=y2=h+o;
+% draw z1--z2; % bar
+% labels(1,2); endchar;
+
+
+ %==============================================%
+ % Inserted(OJK), with changes, from ACCENT.MF %
+ %==============================================%
+
+
+cmchar "Macron (bar) accent";
+numeric macron_breadth#; macron_breadth#=.2[vair#,stem#];
+beginchar(high_minus,9u#,.4[x_height#,asc_height#]+macron_breadth#,0);
+italcorr h#*slant-.75u#;
+adjust_fit(0,0);
+numeric macron_breadth; macron_breadth:=Vround .2[vair,stem];
+pickup if serifs: crisp.nib else: fine.nib fi;
+pos1(macron_breadth,90); pos2(macron_breadth,90);
+top y1r=top y2r=h+o; lft x1=w-rt x2=hround 1.25u;
+filldraw stroke z1e--z2e; % bar
+penlabels(1,2); endchar;
+
+
+
+cmchar "Umlaut (double dot) accent";
+numeric dot_diam#,dot_diam;
+dot_diam#=max(dot_size#,cap_curve#);
+beginchar(dieresis,9u#,min(asc_height#,10/7x_height#+.5dot_diam#),0);
+dot_diam=max(tiny.breadth,hround(max(dot_size,cap_curve)-2stem_corr));
+italcorr h#*slant+.5dot_diam#-2.25u#;
+adjust_fit(0,0);
+pickup tiny.nib; pos1(dot_diam,0); pos2(dot_diam,90);
+x1=x2=2.75u; top y2r=h+1;
+if bot y2l<x_height+o+slab: y2l:=min(y2r-eps,x_height+o+slab+.5tiny); fi
+y1=.5[y2l,y2r]; dot(1,2); % left dot
+pos3(dot_diam,0); penpos4(y2r-y2l,90); y3=y4=y1; x3=x4=w-x1;
+dot(3,4); % right dot
+penlabels(1,2,3,4); endchar;
+
+
+ %==================%
+ % S Y M continues %
+ %==================%
+
+
+iff known cup: cmchar "Set union sign";
+beginchar(cup,12u#,.8asc_height#,0);
+italcorr .8asc_height#*slant-.5u#;
+adjust_fit(0,0); pickup light_rule.nib; autorounded;
+lft x1=hround u; x2=x1; x3=w-x3; x4=x5=w-x1;
+y1=good.y h+o; bot y3=-o; y2=y4=2/3[y1,y3]; y5=y1;
+draw z1---z2...z3...z4---z5; % stems and cup
+labels(1,2,3,4,5); endchar;
+
+iff known cap: cmchar "Set intersection sign";
+beginchar(cap,12u#,.8asc_height#,0);
+italcorr .8asc_height#*slant-.5u#;
+adjust_fit(0,0); pickup light_rule.nib; autorounded;
+lft x1=hround u; x2=x1; x3=w-x3; x4=x5=w-x1;
+y3=good.y h+o; bot y1=-o; y2=y4=2/3[y1,y3]; y5=y1;
+draw z1---z2...z3...z4---z5; % stems and cap
+labels(1,2,3,4,5); endchar;
+
+
+ %========================
+ % Symbol designed by OJK:
+ %========================
+ % (using "cap")
+% cmchar "Comment sign";
+% beginchar(comment,12u#,.8asc_height#,0);
+% italcorr .8asc_height#*slant-.5u#;
+% adjust_fit(0,0); pickup light_rule.nib; autorounded;
+% lft x1=hround u; x2=x0; x4=w-x4; x6=x9=w-x1;
+% y4=good.y h+o; bot y0=-o; y2=y6=2/3[y1,y4]; y9=y0;
+% circle_points; draw_circle; % circle
+% draw z0---z2...z4...z6---z9; % stems and cap
+% labels(0,1,2,3,4,5,6,7,8,9); endchar;
+
+cmchar "Comment sign";
+beginchar(comment,12u#,.8asc_height#,0);
+italcorr .8asc_height#*slant-.5u#;
+adjust_fit(0,0); pickup light_rule.nib; autorounded;
+lft x1=hround u; x2=x1; x3=w-x3; x4=x5=w-x1;
+y3=good.y h+o; bot y1=-o; y2=y4=2/3[y1,y3]; y5=y1;
+draw z1---z2...z3...z4---z5; % stems and cap
+x0=.5w; y3-y0=x4-x0;
+z6-z0 =(z3-z0) rotated 60;
+z7-z0 =(z6-z0) rotated 60;
+z8-z0 =(z7-z0) rotated 60;
+z9-z0 =(z8-z0) rotated 60;
+z10-z0=(z9-z0) rotated 60;
+draw z3...z6...z7...z8...z9...z10...cycle; % circle
+labels(0,1,2,3,4,5,6,7,8,9,10); endchar;
+
+
+iff known meet: cmchar "Lattice infimum (logical and) sign";
+beginchar(meet,12u#,.8asc_height#,0);
+italcorr .8asc_height#*slant-.5u#;
+adjust_fit(0,0); pickup light_rule.nib;
+lft x1=hround u-eps; x3=w-x3; x5=w-x1;
+y3=good.y h+o; bot y1=-o; y5=y1;
+draw z1--z3--z5; % diagonals
+labels(1,3,5); endchar;
+
+
+iff known join: cmchar "Lattice supremum (logical or) sign";
+beginchar(join,12u#,.8asc_height#,0);
+italcorr .8asc_height#*slant-.5u#;
+adjust_fit(0,0); pickup light_rule.nib;
+lft x1=hround u-eps; x3=w-x3; x5=w-x1;
+y1=good.y h+o; bot y3=-o; y5=y1;
+draw z1--z3--z5; % diagonals
+labels(1,3,5); endchar;
+
+
+iff known down_arrow: cmchar "Downward arrow";
+beginchar(down_arrow,9u#,asc_height#,asc_depth#);
+adjust_fit(0,0); pickup light_rule.nib;
+pos1(rule_thickness,0); pos2(rule_thickness,0);
+pos3(bar,90); pos4(bar,90);
+lft x1l=hround(.5w-.5rule_thickness); y1+.5rule_thickness=h;
+x0=x1=x2; bot y0=-d; x0-x3=x4-x0=3u+eps;
+y3=y4=y0+.24asc_height+eps;
+pos5(bar,angle(z4-z0)); z5l=z0;
+pos6(bar,angle(z3-z0)); z6l=z0;
+z9=.381966[.5[z3,z4],z0];
+numeric t; path p; p=z4r{z9-z4}..z6r;
+t=xpart(p intersectiontimes((x2r,-d)--(x2r,h))); y2=ypart point t of p;
+filldraw z0..{z4-z9}z4l--subpath (0,t) of\\(z4r{z9-z4}..z6r)
+ --z2r---z1r..z1l---z2l--subpath (t,0) of\\(z3r{z9-z3}..z5r)
+ --z3l{z9-z3}..z0 & cycle; % arrowhead and stem
+penlabels(0,1,2,3,4,5,6,9); endchar;
+
+iff known up_arrow: cmchar "Upward arrow";
+beginchar(up_arrow,9u#,asc_height#,asc_depth#);
+italcorr .76asc_height#*slant+.5crisp#-u#;
+adjust_fit(0,0); pickup light_rule.nib;
+pos1(rule_thickness,0); pos2(rule_thickness,0);
+pos3(bar,90); pos4(bar,90);
+lft x1l=hround(.5w-.5rule_thickness); y1-.5rule_thickness=-d;
+x0=x1=x2; top y0=h; x0-x3=x4-x0=3u+eps;
+y3=y4=y0-.24asc_height-eps;
+pos5(bar,angle(z4-z0)); z5l=z0;
+pos6(bar,angle(z3-z0)); z6l=z0;
+z9=.381966[.5[z3,z4],z0];
+numeric t; path p; p=z4l{z9-z4}..z6r;
+t=xpart(p intersectiontimes((x2r,-d)--(x2r,h))); y2=ypart point t of p;
+filldraw z0..{z4-z9}z4r--subpath (0,t) of\\(z4l{z9-z4}..z6r)
+ --z2r---z1r..z1l---z2l--subpath (t,0) of\\(z3l{z9-z3}..z5r)
+ --z3r{z9-z3}..z0 & cycle; % arrowhead and stem
+penlabels(0,1,2,3,4,5,6,9); endchar;
+
+iff known left_arrow: cmchar "Leftward arrow";
+compute_spread(.45x_height#,.55x_height#);
+beginchar(left_arrow,18u#,v_center(spread#+rule_thickness#));
+adjust_fit(0,0); pickup light_rule.nib;
+pos1(rule_thickness,90); pos2(rule_thickness,90); pos3(bar,0); pos4(bar,0);
+y0=y1=y2=math_axis; x1+.5rule_thickness=hround(w-u); lft x0=hround u;
+y3-y0=y0-y4=.24asc_height+eps; x3=x4=x0+3u+eps;
+pos5(bar,angle(z4-z0)); z5l=z0; pos6(bar,angle(z3-z0)); z6l=z0;
+z9=.381966[.5[z3,z4],z0];
+numeric t; path p; p=z4r{z9-z4}..z6r;
+t=xpart(p intersectiontimes((0,y2l)--(w,y2l))); x2=xpart point t of p;
+filldraw z0..{z4-z9}z4l--subpath (0,t) of\\(z4r{z9-z4}..z6r)
+ --z2l---z1l..z1r---z2r--subpath (t,0) of\\(z3r{z9-z3}..z5r)
+ --z3l{z9-z3}..z0 & cycle; % arrowhead and stem
+penlabels(0,1,2,3,4,5,6,9); endchar;
+
+iff known right_arrow: cmchar "Rightward arrow";
+compute_spread(.45x_height#,.55x_height#);
+beginchar(right_arrow,18u#,v_center(spread#+rule_thickness#));
+adjust_fit(0,0); pickup light_rule.nib;
+pos1(rule_thickness,90); pos2(rule_thickness,90); pos3(bar,0); pos4(bar,0);
+y0=y1=y2=math_axis; x1-.5rule_thickness=hround u; rt x0=hround(w-u);
+y3-y0=y0-y4=.24asc_height+eps; x3=x4=x0-3u-eps;
+pos5(bar,angle(z4-z0)); z5l=z0; pos6(bar,angle(z3-z0)); z6l=z0;
+z9=.381966[.5[z3,z4],z0];
+numeric t; path p; p=z4l{z9-z4}..z6r;
+t=xpart(p intersectiontimes((0,y2l)--(w,y2l))); x2=xpart point t of p;
+filldraw z0..{z4-z9}z4r--subpath (0,t) of\\(z4l{z9-z4}..z6r)
+ --z2l---z1l..z1r---z2r--subpath (t,0) of\\(z3l{z9-z3}..z5r)
+ --z3r{z9-z3}..z0 & cycle; % arrowhead and stem
+penlabels(0,1,2,3,4,5,6,9); endchar;
+
+
+iff known subset: cmchar "Proper subset sign";
+compute_spread(5/4x_height#,3/2x_height#);
+beginchar(subset,14u#,v_center(spread#+rule_thickness#));
+italcorr h#*slant-u#;
+adjust_fit(0,0); pickup light_rule.nib; autorounded;
+lft x2=hround 1.5u-eps; x1=x3=w-x2;
+y1-y3=spread; y2=.5[y1,y3]=math_axis;
+x4=x5=.5w; y4=y1; y5=y3;
+draw z1---z4...z2{down}...z5---z3; % arc and bars
+labels(1,2,3,4,5); endchar;
+
+iff known superset: cmchar "Proper superset sign";
+compute_spread(5/4x_height#,3/2x_height#);
+beginchar(superset,14u#,v_center(spread#+rule_thickness#));
+italcorr h#*slant-u#;
+adjust_fit(0,0); pickup light_rule.nib; autorounded;
+lft x1=hround 1.5u-eps; x2=w-x1; x3=x1;
+y1-y3=spread; y2=.5[y1,y3]=math_axis;
+x4=x5=.5w; y4=y1; y5=y3;
+draw z1---z4...z2{down}...z5---z3; % arc and bars
+labels(1,2,3,4,5); endchar;
+
+
+iff known less: cmchar "Less than sign";
+compute_spread(5/4x_height#,3/2x_height#);
+beginchar(less,14u#,v_center(spread#+rule_thickness#));
+italcorr h#*slant-u#;
+adjust_fit(0,0); pickup light_rule.nib;
+lft x2=hround 1.5u-eps; x1=x3=w-x2;
+y1-y3=spread; y2=.5[y1,y3]=math_axis;
+draw z1--z2--z3; % diagonals
+labels(1,2,3); endchar;
+
+iff known greater: cmchar "Greater than sign";
+compute_spread(5/4x_height#,3/2x_height#);
+beginchar(greater,14u#,v_center(spread#+rule_thickness#));
+italcorr math_axis#*slant-u#;
+adjust_fit(0,0); pickup light_rule.nib;
+rt x2=hround(w-1.5u)+eps; x1=x3=w-x2;
+y1-y3=spread; y2=.5[y1,y3]=math_axis;
+draw z1--z2--z3; % diagonals
+labels(1,2,3); endchar;
+
+iff known underbar: cmchar "Underbar suitable for < and >";
+compute_spread((5/8+.45)*x_height#,(3/4+.55)*x_height#);
+beginchar(underbar,14u#,0,spread#-math_axis#+.5rule_thickness#);
+adjust_fit(0,0); pickup light_rule.nib;
+lft x1=hround 1.5u-eps; x2=w-x1; bot y1=bot y2=-d;
+draw z1--z2; % bar
+labels(1,2); endchar;
+ %=======================%
+ % Rejected (?): %
+ %=======================%
+% cmchar "Overbar";
+% compute_spread((5/8+.45)*x_height#,(3/4+.55)*x_height#);
+% beginchar(oct"142",14u#,body_height#,0);
+% adjust_fit(0,0); pickup rule.nib;
+% lft x1=hround 1.5u-eps; x2=w-x1; top y1=top y2=h+o;
+% draw z1--z2; % bar
+% labels(1,2); endchar;
+
+iff known neq: cmchar "Unequals sign";
+compute_spread(.45x_height#,.55x_height#);
+beginchar(neq,14u#,v_center(4spread#+rule_thickness#));
+italcorr h#*slant-.5u#;
+adjust_fit(0,0); pickup light_rule.nib;
+lft x1=hround u-eps; x3=x1; x2=x4=w-x1;
+y1=y2; y3=y4; y1-y3=spread; .5[y1,y3]=math_axis;
+draw z1--z2; draw z3--z4; % bars
+lft x6=hround 3.5u-eps; x5=w-x6; top y5=h+o; bot y6=-d-o;
+draw z5--z6; % diagonal
+labels(1,2,3,4,5,6); endchar;
+
+iff known leq: cmchar "Less than or equal to sign";
+compute_spread(.45x_height#,.55x_height#);
+spread#':=spread#; spread':=spread; % the spread of `$=$'
+compute_spread(5/4x_height#,3/2x_height#);
+beginchar(leq,14u#,v_center(spread#'+spread#+rule_thickness#));
+italcorr h#*slant-u#;
+adjust_fit(0,0); pickup light_rule.nib;
+lft x2=hround 1.5u-eps; x1=x3=w-x2;
+y1-y3=spread; y2=.5[y1,y3]; top y1=h;
+draw z1--z2--z3; % diagonals
+x8=x1; x9=x2; y8=y9; y3-y9=spread'; draw z8--z9; % bar
+labels(1,2,3,8,9); endchar;
+
+iff known geq: cmchar "Greater than or equal to sign";
+compute_spread(.45x_height#,.55x_height#);
+spread#':=spread#; spread':=spread; % the spread of `$=$'
+compute_spread(5/4x_height#,3/2x_height#);
+beginchar(geq,14u#,v_center(spread#'+spread#+rule_thickness#));
+italcorr h#*slant-u#;
+adjust_fit(0,0); pickup light_rule.nib;
+lft x1=hround 1.5u-eps; x2=w-x1; x3=x1;
+y1-y3=spread; y2=.5[y1,y3]; top y1=h;
+draw z1--z2--z3; % diagonals
+x8=x1; x9=x2; y8=y9; y3-y9=spread'; draw z8--z9; % bar
+labels(1,2,3,8,9); endchar;
+
+iff known backslash: cmchar "Reverse slash (backslash)";
+beginchar(backslash,9u#,body_height#,paren_depth#);
+adjust_fit(0,0); pickup light_rule.nib;
+lft x1=hround u-eps; top y1=h+eps;
+rt x2=hround(w-u)+eps; bot y2=-d-eps;
+draw z1--z2; % diagonal
+labels(1,2); endchar;
+
+iff known vertical: cmchar "Vertical line";
+beginchar(vertical,5u#,body_height#,paren_depth#);
+italcorr body_height#*slant+.5rule_thickness#-2u#;
+adjust_fit(0,0); pickup light_rule.nib;
+x1=x2=good.x .5w; top y1=h+eps; bot y2=-d-eps;
+draw z1--z2; % stem
+labels(1,2); endchar;
+
+% % modified from cdot (AH)
+% iff known dieresis: cmchar "High double dot in APL";
+% beginchar(dieresis,7u#,asc_height#);
+% adjust_fit(0,0); pickup fine.nib;
+% numeric dot_diam#; dot_diam#=if monospace: 5/4 fi\\ dot_size#;
+% define_whole_blacker_pixels(dot_diam);
+% pos1(dot_diam,0); pos2(dot_diam,90);
+% pos3(dot_diam,0); pos4(dot_diam,90);
+% lft x1l=hround(.25w-.5dot_diam);y1=h;
+% lft x3l=hround(.75w-.5dot_diam);y3=h;
+% z1=z2; dot(1,2); % first dot
+% z3=z4; dot(3,4); % second dot
+% penlabels(1,2,3,4); endchar;
+
+
+% changed (AH) from the original diamond since the diamond
+% operator in APL is taller than a square rotated by 45 degrees
+iff known diamond: cmchar "Diamond operator";
+beginchar(diamond,9u#,v_center(7u#));
+italcorr math_axis#*slant;
+adjust_fit(0,0); pickup light_rule.nib;
+numeric a; a=(lft 3.5u)*sqrt(3.14159/2); % an attempt to match circle area
+x4=x8=good.x .5w; w:=r:=2x4; x2=w-x6=good.x(x4+a);
+y2=y6=.5[y4,y8]=math_axis; y8=good.y(y2+1.5a);
+draw z2--z4--z6--z8--cycle; % bowl
+labels(2,4,6,8); endchar;
+
+iff known left_brace: cmchar "Left curly brace";
+beginchar(left_brace,9u#,body_height#,paren_depth#);
+italcorr body_height#*slant+.5vair#-u#;
+adjust_fit(0,0); pickup fine.nib;
+forsuffixes $=1,1',4,4',7,7': pos$(vair,0); endfor
+forsuffixes $=2,3,5,6: pos$(stem,0); endfor
+x2=x3=x5=x6; x1=x1'=x7=x7'=w-x4=w-x4';
+lft x4l=hround(1.5u-.5vair); lft x2l=hround(.5w-.5stem);
+top y1=h; bot y7=-d; .5[y4,y4']=.5[y1,y7]=.5[y2,y6]=.5[y3,y5];
+y1-y2=y3-y4=(y1-y4)/4; y1-y1'=y4-y4'=y7'-y7=vair-fine;
+filldraw z1l{left}...z2l---z3l...{left}z4l
+ --z4'l{right}...z5l---z6l...{right}z7l
+ --z7r--z7'r{left}...z6r---z5r...{left}.5[z4r,z4'r]{right}
+ ...z3r---z2r...{right}z1'r--z1r--cycle; % stroke
+penlabels(1,2,3,4,5,6,7); endchar;
+
+iff known right_brace: cmchar "Right curly brace";
+beginchar(right_brace,9u#,body_height#,paren_depth#);
+italcorr math_axis#*slant+.5vair#-u#;
+adjust_fit(0,0); pickup fine.nib;
+forsuffixes $=1,1',4,4',7,7': pos$(vair,0); endfor
+forsuffixes $=2,3,5,6: pos$(stem,0); endfor
+x2=x3=x5=x6; x1=x1'=x7=x7'=w-x4=w-x4';
+rt x4r=hround(w-1.5u+.5vair); rt x2r=hround(.5w+.5stem);
+top y1=h; bot y7=-d; .5[y4,y4']=.5[y1,y7]=.5[y2,y6]=.5[y3,y5];
+y1-y2=y3-y4=(y1-y4)/4; y1-y1'=y4-y4'=y7'-y7=vair-fine;
+filldraw z1r{right}...z2r---z3r...{right}z4r
+ --z4'r{left}...z5r---z6r...{left}z7r
+ --z7l--z7'l{right}...z6l---z5l...{right}.5[z4l,z4'l]{left}
+ ...z3l---z2l...{left}z1'l--z1l--cycle; % stroke
+penlabels(1,2,3,4,5,6,7); endchar;
+
+% cmchar "APL quote";
+% beginchar("'",9u#,asc_height#,0);
+% numeric top_width#,spread#; top_width#=if serifs: flare# else: stem# fi;
+% spread#=max(3u#,top_width#+.5u#); define_pixels(spread);
+% italcorr asc_height#*slant+.5top_width#+.5spread#-4u#;
+% adjust_fit(0,0);
+% x1=x2; x3=x4=w-x1; x3-x1=0; y1=y3;
+% y2=y4=max(.5[bar_height,x_height]+.5vair,h-x_height);
+% if serifs: pickup crisp.nib; pos1(flare,0); pos2(vair,0);
+% pos3(flare,0); pos4(vair,0);
+% y1+.5stem=h; filldraw circ_stroke z1e--z2e; % left stem and bulb
+% filldraw circ_stroke z3e--z4e; % right stem and bulb
+% else: pickup fine.nib; pos1(stem,0); pos2(vair,0);
+% top y1=h; filldraw stroke z1e--z2e; % left stem
+% pos3(stem,0); pos4(vair,0);
+% filldraw stroke z3e--z4e; fi % right stem
+% penlabels(1,2,3,4); endchar;
+
+
+ %================================================================%
+ % The next definition inserted(OJK), with changes, from PUNCT.MF %
+ %================================================================%
+
+
+% cmchar "Apostrophe";
+% beginchar("'",5u#,asc_height#,0);
+% italcorr asc_height#*slant+.5dot_size#-2u#;
+% adjust_fit(0,0);
+% x1-.5dot_size=hround(.5w-.5dot_size); y1+.5dot_size=h;
+% if monospace: comma(1,a,dot_size,.28u,vround 1.5comma_depth); % large comma
+% else: comma(1,a,dot_size,.25u,comma_depth); fi % comma with increased jut
+% penlabels(1); endchar;
+
+
+ %=================================%
+ % This trial is from QUOTE.MF(?): %
+ %=================================%
+
+
+%cmchar "Straight single quote";
+%beginchar("'",5u#,asc_height#,0);
+%italcorr asc_height#*slant+.5 if serifs: flare# else: stem# fi -2u#;
+%adjust_fit(0,0);
+%x1=x2=.5w; y2=max(.5[bar_height,x_height]+.5vair,h-x_height);
+%if serifs: pickup crisp.nib; pos1(flare,0); pos2(vair,0);
+% y1+.5stem=h; filldraw circ_stroke z1e--z2e; % stem and bulb
+%else: pickup fine.nib; pos1(stem,0); pos2(vair,0);
+% top y1=h; filldraw stroke z1e--z2e; fi % stem
+%penlabels(1,2,3,4); endchar;
+
+
+
+%cmchar "Straight single quote";
+%beginchar("'",5u#,asc_height#,0);
+%adjust_fit(0,0); pickup light_rule.nib;
+%bot y1=vround(5/7*h); y2=y1; top y3=h+2o; y4=y3;
+%.5[x1,x2]=x5=good.x .5w; w:=r:=2x5;
+%lft x1=hround(.5w-1/28*h);
+%.5[x3,x4]=x6=good.x .5w; w:=r:=2x6;
+%lft x3=hround(.5w-1/7*h);
+%filldraw z1--z2--z4--z3--cycle;
+%penlabels(1,2,3,4); endchar;
+
+
+cmchar "Straight single quote";
+beginchar("'",5u#,asc_height#,0);
+italcorr asc_height#*slant+.5 if serifs: flare# else: stem# fi -2u#;
+adjust_fit(0,0);
+x1=x2=.5w; y2=max(.5[bar_height,x_height]+.5vair,h-x_height);
+if serifs: pickup rule.nib; pos1(flare,0); pos2(vair,0);
+ y1+.5stem=h; filldraw circ_stroke z1e--z2e; % stem and bulb
+else: pickup crisp.nib; pos1(stem,0); pos2(vair,0);
+ top y1=h; filldraw stroke z1e--z2e; fi % stem
+penlabels(1,2,3,4); endchar;
+
+
+
+
+ % S Y M ends %
+
+
+% The following definitions are copied from S Y M B O L . M F
+
+cmchar "Times operator";
+beginarithchar("#"); pickup light_rule.nib;
+x1=good.x(1/sqrt2)[.5w,rt u]; y1=good.y(1/sqrt2)[math_axis,bot h];
+x2=x3=w-x1; x4=x1; .5[y1,y2]=.5[y3,y4]=math_axis; y2=y4;
+draw z1--z2; draw z3--z4; % diagonals
+labels(1,2,3,4); endchar;
+
+%cmchar "Division operator";
+%beginarithchar("%"); pickup light_rule.nib;
+%x3-.5dot_size=hround(.5w-.5dot_size); w:=r:=2x3;
+%y3+.5dot_size=vround(math_axis+math_spread[.3x_height,.4x_height]+.5dot_size);
+%lft x1=hround u-eps; x2=w-x1; y1=y2=math_axis;
+%draw z1--z2; % bar
+%pos3(dot_size,0); pos4(dot_size,90); z3=z4;
+%pos5(dot_size,0); pos6(dot_size,90); z5=z6; x5=x3; .5[y3,y5]=math_axis;
+%dot(3,4); dot(5,6); % dots
+%penlabels(1,2,3,4,5,6); endchar;
+
+
+cmchar "Division operator";
+beginarithchar("%"); pickup light_rule.nib;
+x3-.5dot_size=hround(.5w-.5dot_size); w:=r:=2x3;
+y3=vround(math_axis+1.5dot_size);
+lft x1=hround u-eps; x2=w-x1; y1=y2=math_axis;
+draw z1--z2; % bar
+pos3(dot_size,0); pos4(dot_size,90); z3=z4;
+pos5(dot_size,0); pos6(dot_size,90); z5=z6;
+x5=x3; .5[y3,y5]=math_axis+.1rule_thickness;
+dot(3,4); dot(5,6); % dots
+penlabels(1,2,3,4,5,6); endchar;
+
+ %=========================================
+ % To be replaced by the next definition...
+
+% cmchar "Circle operator";
+% beginchar(oct"017",9u#,v_center(9u#));
+% adjust_fit(0,0); pickup light_rule.nib; autorounded;
+% lft x6=hround u; x2=w-x6; y2=math_axis; top y8=h;
+% circle_points; draw_circle; % circle
+% labels(1,2,3,4,5,6,7,8); endchar;
+
+
+cmchar "Circle operator";
+beginchar(oct"017",16u#,v_center(16u#)); %@ For test purposes!
+adjust_fit(0,0); pickup light_rule.nib; autorounded;
+lft x1=hround u; x0=.5w; y1=y0=math_axis;
+z2-z0=(z1-z0) rotated 45;
+z3-z0=(z2-z0) rotated 45;
+z4-z0=(z3-z0) rotated 45;
+z5-z0=(z4-z0) rotated 45;
+z6-z0=(z5-z0) rotated 45;
+z7-z0=(z6-z0) rotated 45;
+z8-z0=(z7-z0) rotated 45;
+draw z1...z2...z3...z4...z5...z6...z7...z8...cycle; % Circle(OJK) which is
+labels(0,1,2,3,4,5,6,7,8); endchar; % round as it should.
+
+
+
+cmchar "Small circle";
+beginchar(oct"016",5u#,v_center(5u#));
+adjust_fit(0,0); pickup light_rule.nib; autorounded;
+lft x6=hround u; x2=w-x6; top y8=h-.3x_height; y2=math_axis-.3x_height; %@ Addition here!
+circle_points; draw_circle; % circle
+labels(1,2,3,4,5,6,7,8); endchar;
+
+% cmchar "Circle stile operator";
+% beginchar(oct"175",8u#,v_center(8u#));
+% pickup light_rule.nib; autorounded;
+% lft x6=hround u; x2=w-x6; y2=math_axis; top y8=h;
+% circle_points; draw_circle; % circle
+% top y10=body_height#;
+% bot y9=-paren_depth#;
+% x9=x10=x4;
+% draw z9--z10; % stile
+% labels(1,2,3,4,5,6,7,8); endchar;
+
+% cmchar "Circle slope operator";
+% beginchar(oct"176",8u#,v_center(8u#));
+% pickup light_rule.nib; autorounded;
+% lft x6=hround u; x2=w-x6; y2=math_axis; top y8=h;
+% circle_points; draw_circle; % circle
+% top y10=body_height#;
+% bot y9=-paren_depth#;
+% x9=x10=x4;
+% draw z9--z10; % slope
+% labels(1,2,3,4,5,6,7,8); endchar;
+
+iff known elt: cmchar "Element sign";
+compute_spread(5/4x_height#,3/2x_height#);
+beginchar(elt,12u#,v_center(spread#+rule_thickness#));
+italcorr h#*slant-u#;
+adjust_fit(0,0); pickup light_rule.nib; autorounded;
+lft x2=hround 1.5u-eps; x1=x3=x6=w-x2;
+y1-y3=spread; y2=y6=.5[y1,y3]=math_axis;
+x4=x5=.5w+u; y4=y1; y5=y3;
+draw z1---z4...z2{down}...z5---z3; % arc and bars
+draw z2--z6; % middle bar
+labels(1,2,3,4,5,6); endchar;
+
+cmchar "Negation";
+compute_spread(.45x_height#,.55x_height#);
+beginchar(negation,14u#,v_center(spread#+rule_thickness#));
+adjust_fit(0,0);
+pickup pencircle xscaled .7rule_thickness yscaled 1.4rule_thickness;
+if vair#>.8curve#: pickup light_rule.nib; autorounded; fi % monoline
+lft x1=hround u; x2=4u; x3=w-x2; x4=w-x1;
+bot y1=bot y3=-d; top y2=top y4=h;
+draw z1{up}...z2{right}..{right}z3...{up}z4; % stroke
+labels(1,2,3,4); endchar;
+
+% sqrt48 was changed (AH) to 6.5 since the Delta symbol in APL has
+% a narrower base than the original triangle symbol
+cmchar "Delta";
+beginchar(oct"003",16u#,asc_height#,0);
+adjust_fit(0,0); pickup light_rule.nib;
+bot y1=0; y2=y1; top y3=h+2o;
+.5[x1,x2]=x3=good.x .5w; w:=r:=2x3; lft x1=hround(.5w-u*6.25);
+draw z1--z2--z3--cycle; % stroke
+labels(1,2,3); endchar;
+
+% sqrt48 was changed to 6.25 since the Del symbol in APL has
+% a narrower top than the original reversed triangle symbol
+% Moreover, Del must be lifted up to the same line as Delta,
+cmchar "Del";
+beginchar(oct"002",16u#,asc_height#,0);
+adjust_fit(0,0); pickup light_rule.nib;
+top y1=h+2o; y2=y1; bot y3=0;
+.5[x1,x2]=x3=good.x .5w; w:=r:=2x3; lft x1=hround(.5w-u*6.25);
+draw z1--z2--z3--cycle; % stroke
+labels(1,2,3); endchar;
+
+cmchar "Lattice top";
+beginchar(oct"030",14u#,asc_height#,0);
+adjust_fit(0,0); pickup light_rule.nib;
+x1=x2=good.x .5w; w:=r:=2x1; lft x3=hround u; x4=r-x3;
+bot y1=0; y2-y1=x4-x3;
+if top y2>h: y2:=bot h; fi
+y3=y4=y2;
+draw z1--z2; % stem
+draw z3--z4; % bar
+labels(1,2,3,4); endchar;
+
+cmchar "Perpendicular sign or lattice bottom";
+beginchar(oct"031",14u#,asc_height#,0);
+adjust_fit(0,0); pickup light_rule.nib;
+x1=x2=good.x .5w; w:=r:=2x1; lft x3=hround u; x4=r-x3;
+bot y1=0; y2-y1=x4-x3;
+if top y2>h: y2:=bot h; fi
+y3=y4=y1;
+draw z1--z2; % stem
+draw z3--z4; % bar
+labels(1,2,3,4); endchar;
+
+cmchar "Left turnstile";
+beginchar(oct"033",11u#,asc_height#,0);
+adjust_fit(0,0); pickup light_rule.nib;
+.5[y1,y2]=y3=y4; x1=x2=x3;
+lft x3=hround u; x4=w-x3; top y1=h; bot y2=0;
+draw z1--z2; % stem
+draw z3--z4; % bar
+labels(1,2,3,4); endchar;
+
+cmchar "Right turnstile";
+beginchar(oct"032",11u#,asc_height#,0);
+adjust_fit(0,0); pickup light_rule.nib;
+.5[y1,y2]=y3=y4; x1=x2=x4;
+lft x3=hround u; x4=w-x3; top y1=h; bot y2=0;
+draw z1--z2; % stem
+draw z3--z4; % bar
+labels(1,2,3,4); endchar;
+
+cmchar "Left floor bracket";
+beginchar(oct"034",8u#,body_height#,paren_depth#);
+adjust_fit(0,0); pickup light_rule.nib;
+x1=x2=good.x 3.5u; x3=x1+3.75u+eps;
+top y1=h; .5[y1,y2]=math_axis; y3=y2;
+draw z1--z2--z3; % stem and bar
+labels(1,2,3); endchar;
+
+cmchar "Left ceiling bracket";
+beginchar(oct"035",8u#,body_height#,paren_depth#);
+adjust_fit(0,0); pickup light_rule.nib;
+x1=x2=good.x 3.5u; x3=x1+3.75u+eps;
+top y1=h; .5[y1,y2]=math_axis; y3=y1;
+draw z3--z1--z2; % stem and bar
+labels(1,2,3); endchar;
+
+%================================================================
+
+% The quad symbol is created by using the definition of Del
+
+cmchar "Quad";
+beginchar(oct"001",16u#,body_height#,0); %@ body or asc
+adjust_fit(0,0); pickup light_rule.nib;
+bot y1=0; y2=y1; top y3=h+2o; y4=y3;
+.5[x1,x2]=x5=good.x .5w; w:=r:=2x5;
+% The quad box is slightly wider than Del
+lft x1=hround(.5w-u*7); %@ -u*7 or -5/14*h
+x3=x1; x4=x2;
+draw z1--z2--z4--z3--cycle; % box
+labels(1,2,3,4); endchar;
+
+%% The divide quad is built as a primary character
+% NOT AFTER ALL
+
+%cmchar "Divide quad";
+%beginchar(oct"001",16u#,body_height#,paren_depth#);
+%adjust_fit(0,0); pickup light_rule.nib;
+%bot y1=0; y2=y1; top y3=h+2o;top y4=h+2o;
+%.5[x1,x2]=x5=good.x .5w; w:=r:=2x5;
+% the quad box is slightly wider than Del
+%lft x1=hround(.5w-u*7);
+%x3=x1;x4=x2;
+%draw z1--z2--z4--z3--cycle; % box
+%pickup rule.nib;
+%x8-.5dot_size=hround(.5w-.5dot_size); w:=r:=2x8;
+%
+%y8=vround(.5y3+1.75dot_size); %@ 1 by 1.75
+%lft x6=x1; x7=x2; y6=y7=.5y3;
+%draw z6--z7; % bar
+%pos8(dot_size,0); pos9(dot_size,90); z8=z9;
+%pos10(dot_size,0); pos11(dot_size,90);z10=z11;
+%x10=x8; .5[y8,y10]=.5y3; %@ +rule_thickness#;
+%dot(8,9); dot(10,11); % dots
+%penlabels(1,2,3,4,5,6,7,8,9,10,11); endchar;
+
+
+
+% (AH)
+% Before loading in the definitions of the upper case Roman letters,
+% we have to load in the preamble for the slanted typewriter font
+% since that is the style of letters in APL.
+%
+
+
+%=====================================================================
+% This material comes from C M S L T T 1 0
+%=====================================================================
+
+
+u#:=21/36pt#; % unit width
+width_adj#:=0pt#; % width adjustment for certain characters
+serif_fit#:=0pt#; % extra sidebar near lowercase serifs
+cap_serif_fit#:=0pt#; % extra sidebar near uppercase serifs
+letter_fit#:=0pt#; % extra space added to all sidebars
+
+body_height#:=250/36pt#; % height of tallest characters
+asc_height#:=220/36pt#; % height of lowercase ascenders
+cap_height#:=220/36pt#; % height of caps
+fig_height#:=220/36pt#; % height of numerals
+x_height#:=155/36pt#; % height of lowercase without ascenders
+math_axis#:=110/36pt#; % axis of symmetry for math symbols
+bar_height#:=79/36pt#; % height of crossbar in lowercase e
+comma_depth#:=50/36pt#; % depth of comma below baseline
+desc_depth#:=80/36pt#; % depth of lowercase descenders
+
+crisp#:=22/36pt#; % diameter of serif corners
+tiny#:=22/36pt#; % diameter of rounded corners
+fine#:=21/36pt#; % diameter of sharply rounded corners
+thin_join#:=21/36pt#; % width of extrafine details
+hair#:=25/36pt#; % lowercase hairline breadth
+stem#:=25/36pt#; % lowercase stem breadth
+curve#:=25/36pt#; % lowercase curve breadth
+ess#:=22/36pt#; % breadth in middle of lowercase s
+flare#:=32/36pt#; % diameter of bulbs or breadth of terminals
+dot_size#:=36/36pt#; % diameter of dots
+cap_hair#:=25/36pt#; % uppercase hairline breadth
+cap_stem#:=25/36pt#; % uppercase stem breadth
+cap_curve#:=25/36pt#; % uppercase curve breadth
+cap_ess#:=25/36pt#; % breadth in middle of uppercase s
+rule_thickness#:=25/36pt#; % thickness of lines in math symbols
+
+dish#:=0pt#; % amount erased at top or bottom of serifs
+bracket#:=0pt#; % vertical distance from serif base to tangent
+jut#:=34/36pt#; % protrusion of lowercase serifs
+cap_jut#:=34/36pt#; % protrusion of uppercase serifs
+beak_jut#:=0pt#; % horizontal protrusion of beak serifs
+beak#:=34/36pt#; % vertical protrusion of beak serifs
+vair#:=22/36pt#; % vertical diameter of hairlines
+notch_cut#:=25/36pt#; % maximum breadth above or below notches
+bar#:=22/36pt#; % lowercase bar thickness
+slab#:=22/36pt#; % serif and arm thickness
+cap_bar#:=22/36pt#; % uppercase bar thickness
+cap_band#:=22/36pt#; % uppercase thickness above/below lobes
+cap_notch_cut#:=25/36pt#; % max breadth above/below uppercase notches
+serif_drop#:=0pt#; % vertical drop of sloped serifs
+stem_corr#:=0pt#; % for small refinements of stem breadth
+vair_corr#:=0pt#; % for small refinements of hairline height
+apex_corr#:=10/36pt#; % extra width at diagonal junctions
+
+o#:=4/36pt#; % amount of overshoot for curves
+apex_o#:=3/36pt#; % amount of overshoot for diagonal junctions
+
+slant:=1/5; % tilt ratio $(\Delta x/\Delta y)$
+fudge:=0.81; % factor applied to weights of heavy characters
+math_spread:=-1; % extra openness of math symbols
+superness:=1/sqrt2; % parameter for superellipses
+superpull:=0; % extra openness inside bowls
+beak_darkness:=0; % fraction of triangle inside beak serifs
+ligs:=0; % level of ligatures to be included
+
+square_dots:=false; % should dots be square?
+hefty:=true; % should we try hard not to be overweight?
+serifs:=true; % should serifs and bulbs be attached?
+monospace:=true; % should all characters have the same width?
+variant_g:=false; % should an italic-style g be used?
+low_asterisk:=true; % should the asterisk be centered at the axis?
+math_fitting:=false; % should math-mode spacing be used?
+
+ %========================
+ mode_setup;font_setup;
+ %========================
+
+%====================================================================
+% input romanu; % upper case (majuscules)
+%====================================================================
+
+% Computer Modern Roman upper case:
+% These letters were originally coded by D. E. Knuth in November, 1979,
+% inspired by the Monotype faces used in {\sl The Art of Computer Programming}.
+% Sans serif designs by Richard Southall were added in April, 1982.
+% The programs were revised for the new \MF\ conventions in 1985.
+
+% Character codes \0101 through \0132 are generated.
+
+cmchar "The letter A";
+beginchar("A",13u#,cap_height#,0);
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+numeric left_stem,right_stem,outer_jut,alpha;
+right_stem=cap_stem-stem_corr;
+left_stem=min(cap_hair if hefty: -3stem_corr fi,right_stem);
+outer_jut=.8cap_jut; x1l=w-x4r=l+letter_fit+outer_jut+.5u; y1=y4=0;
+x2-x1=x4-x3; x3r=x2r+apex_corr; y2=y3=h+apex_o+apex_oo;
+alpha=diag_ratio(2,left_stem,y2-y1,x4r-x1l-apex_corr);
+penpos1(alpha*left_stem,0); penpos2(alpha*left_stem,0);
+penpos3(alpha*right_stem,0); penpos4(alpha*right_stem,0);
+z0=whatever[z1r,z2r]=whatever[z3l,z4l];
+if y0<h-cap_notch_cut: y0:=h-cap_notch_cut;
+ fill z0+.5right{down}...{z4-z3}diag_end(3l,4l,1,1,4r,3r)
+ --diag_end(4r,3r,1,1,2l,1l)--diag_end(2l,1l,1,1,1r,2r){z2-z1}
+ ...{up}z0+.5left--cycle; % left and right diagonals
+else: fill z0--diag_end(0,4l,1,1,4r,3r)--diag_end(4r,3r,1,1,2l,1l)
+ --diag_end(2l,1l,1,1,1r,0)--cycle; fi % left and right diagonals
+penpos5(whatever,angle(z2-z1)); z5=whatever[z1,z2];
+penpos6(whatever,angle(z3-z4)); z6=whatever[z3,z4]; y6=y5;
+if hefty: y5r else: y5 fi =5/12y0;
+y5r-y5l=y6r-y6l=cap_band; penstroke z5e--z6e; % bar line
+if serifs: numeric inner_jut; pickup tiny.nib;
+ prime_points_inside(1,2); prime_points_inside(4,3);
+ if rt x1'r+cap_jut+.5u+1<=lft x4'l-cap_jut: inner_jut=cap_jut;
+ else: rt x1'r+inner_jut+.5u+1=lft x4'l-inner_jut; fi
+ dish_serif(1',2,a,1/2,outer_jut,b,.6,inner_jut)(dark); % left serif
+ dish_serif(4',3,c,1/2,inner_jut,d,1/3,outer_jut); fi % right serif
+penlabels(0,1,2,3,4,5,6); endchar;
+
+cmchar "The letter B";
+beginchar("B",12.5u#,cap_height#,0);
+italcorr .75cap_height#*slant-.5u#;
+adjust_fit(cap_serif_fit#,0);
+numeric left_stem,right_curve,middle_weight;
+left_stem=cap_stem-hround 2stem_corr; middle_weight=.6vair+.5;
+pickup tiny.nib; pos1(left_stem,0); pos2(left_stem,0);
+lft x1l=lft x2l=hround max(2u,3u-.5left_stem); top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+penpos3(cap_band,90); penpos4(cap_band,90);
+penpos6(middle_weight,-90); penpos7(middle_weight,-90);
+penpos8(middle_weight,90); penpos9(middle_weight,90);
+penpos5(right_curve-stem_corr,0); penpos10(right_curve,0);
+penpos11(cap_band,-90); penpos12(cap_band,-90);
+z3r=top z1; y4=y3; y5=.5[y4,y6]; y6=y7; y7l-y8l=vair;
+z12r=bot z2; y11=y12; y10=.5[y11,y9]; y8=y9; .5[y7l,y8l]=.52h;
+x4=x6; x9=x11=x4+.5u; x7=x8=x1; x9l:=x4+.25u;
+x5r=hround(w-1.5u); x10r=hround(w-u);
+if serifs: right_curve=cap_curve-stem_corr; x4=.5[x1,w-1.5u];
+else: right_curve=cap_curve-3stem_corr; x4=.5[x1,w-2.5u];
+ x4l:=x4l-.5u; x9l:=x9l-.5u; fi
+x6l:=x6l-.5u; x11l:=x11l-.5u;
+fill stroke z3e..super_arc.e(4,5) & super_arc.e(5,6)..z7e; % upper lobe
+fill stroke z8e..super_arc.e(9,10) & super_arc.e(10,11)..z12e; % lower lobe
+if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,1/3,.5cap_jut); % upper serif
+ nodish_serif(2,1,c,1/3,cap_jut,d,1/3,.5cap_jut); fi % lower serif
+math_fit(0,.5ic#); penlabels(1,2,3,4,5,6,7,8,9,10,11,12); endchar;
+
+cmchar "The letter C";
+if serifs: beginchar("C",13u#,cap_height#,0);
+ italcorr cap_height#*slant-.5u#;
+ adjust_fit(0,0);
+ pickup fine.nib; pos1(cap_hair,0); pos2(cap_band,90);
+ pos3(cap_curve,180); pos4(cap_band,270); pos5(hair,360);
+ rt x1r=rt x5r=hround(w-u); lft x3r=hround u; x2=x4=.55[x3,x1];
+ top y2r=h+o; bot y4r=-o; y3=.5[y2,y4];
+ bot y1=min(vround max(.6h,x_height-.5vair),bot y2l-eps);
+ y5=max(good.y .95(h-y1),y4l+eps);
+ (x2l',y2l)=whatever[z2r,z1l]; x2l:=min(x2l',x2l+.5u);
+ (x4l',y4l)=whatever[z4r,z5l]; x4l:=min(x4l',x4l+.5u);
+ filldraw stroke z1e{x2-x1,10(y2-y1)}
+ ...pulled_arc.e(2,3) & pulled_arc.e(3,4)...{up}z5e; % arc
+ pos6(.3[fine.breadth,cap_hair],0); x6r=x1r; top y6=h+o;
+ x1r-x1'=2cap_curve-fine; y1'=y1;
+ path upper_arc; upper_arc=z1{x2-x1,10(y2-y1)}..z2{left};
+ numeric t; t=xpart(upper_arc intersectiontimes (z6l--z1'));
+ filldraw z1r--z6r--z6l--subpath(t,0) of upper_arc--cycle; % barb
+else: beginchar("C",11.5u#,cap_height#,0);
+ italcorr cap_height#*slant-.5u#;
+ adjust_fit(0,0);
+ pickup fine.nib; pos1(1.2flare,80); pos2(slab,90);
+ pos3(cap_curve,180); pos4(slab,270); pos5(flare,275);
+ rt x1r=hround(w-1.1u); x2=x4=.5w+1.25u;
+ lft x3r=hround max(u,2u-.5cap_curve); rt x5r=hround(w-.9u);
+ top y1r=vround .95h+o; top y2r=h+o; y3=.5h;
+ bot y4r=-o; bot y5r=vround .08h-o; y5l:=good.y y5l; x5l:=good.x x5l;
+ filldraw stroke rterm.e(2,1,right,.9,4) & super_arc.e(2,3)
+ & super_arc.e(3,4) & term.e(4,5,right,.8,4); fi % arc and terminals
+math_fit(-.3cap_height#*slant-.5u#,.5ic#);
+penlabels(1,1',2,3,4,5,6); endchar;
+
+cmchar "The letter D";
+beginchar("D",13.5u#,cap_height#,0);
+italcorr .7cap_height#*slant-.5u#;
+adjust_fit(cap_serif_fit#,0);
+pickup tiny.nib; pos1(cap_stem',0); pos2(cap_stem',0);
+lft x1l=lft x2l=hround max(2u,3u-.5cap_stem'); top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+penpos3(cap_band,90); penpos4(cap_band,90);
+penpos5(cap_curve-stem_corr,0);
+penpos6(cap_band,-90); penpos7(cap_band,-90);
+z3r=top z1; y4=y3; y5=.51[y4,y6]; y6=y7;
+z7r=bot z2; x4=x6=.5w+.25u; x5r=hround(w-u);
+x4l:=x6l:=x4-.25cap_curve;
+fill stroke z3e..pulled_arc.e(4,5) & pulled_arc.e(5,6)..z7e; % lobe
+if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,1/3,.5cap_jut); % upper serif
+ nodish_serif(2,1,c,1/3,cap_jut,d,1/3,.5cap_jut); fi % lower serif
+math_fit(0,ic#-.5u#); penlabels(1,2,3,4,5,6,7); endchar;
+
+cmchar "The letter E";
+beginchar("E",12u#-width_adj#,cap_height#,0);
+italcorr cap_height#*slant-beak_jut#-.5u#;
+adjust_fit(cap_serif_fit#,0);
+h:=vround(h-stem_corr);
+pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
+lft x1l=lft x2l=hround max(2u,3u-.5cap_stem); top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+pickup crisp.nib; pos3(slab,90); pos4(hair,0);
+top y3r=h; x3=x1; rt x4r=hround(w-u); y4=good.y(y3l-beak)-eps;
+arm(3,4,e,beak_darkness,beak_jut); % upper arm and beak
+pos5(cap_bar,-90); pos6(hair,0);
+top y5l=vround(.52[y2,y1]+.5cap_bar); x5=x1;
+pos0(cap_bar,90); pos7(hair,0);
+z0=z5; x6=x7; y6-y5l=y0l-y7;
+if serifs: rt x6r=hround(w-4.4u+.5hair); y6=good.y(y5l+.6beak)+eps;
+ rt x9r=hround(w-.5u);
+else: rt x6r=hround(w-1.5u); y6=y5l+eps; rt x9r=hround(w-.75u); fi
+arm(5,6,f,beak_darkness,0); arm(0,7,g,beak_darkness,0); % middle arm and serif
+pos8(slab if not serifs:+2stem_corr fi,-90); pos9(hair,0);
+bot y8r=0; x8=x2; y9=good.y(y8l+7/6beak)+eps;
+arm(8,9,h,beak_darkness,1.5beak_jut); % lower arm and beak
+if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,1/3,.5cap_jut); % upper serif
+ nodish_serif(2,1,c,1/3,cap_jut,d,1/3,.5cap_jut); fi % lower serif
+math_fit(0,.5ic#); penlabels(0,1,2,3,4,5,6,7,8,9); endchar;
+
+cmchar "The letter F";
+beginchar("F",11.5u#-width_adj#,cap_height#,0);
+italcorr cap_height#*slant-beak_jut#-.25u#;
+adjust_fit(cap_serif_fit#,0);
+h:=vround(h-stem_corr);
+pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
+lft x1l=lft x2l=hround max(2u,3u-.5cap_stem); top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+pickup crisp.nib; pos3(slab,90); pos4(hair,0);
+top y3r=h; x3=x1; rt x4r=hround(w-.75u); y4=good.y(y3l-beak)-eps;
+arm(3,4,e,beak_darkness,beak_jut); % upper arm and beak
+pos5(cap_bar,-90); pos6(hair,0);
+top y5l=vround(.5[y2,y1]+.5cap_bar); x5=x1;
+pos0(cap_bar,90); pos7(hair,0);
+z0=z5; x6=x7; y6-y5l=y0l-y7;
+if serifs: rt x6r=hround(w-4u+.5hair); y6=good.y(y5l+.6beak)+eps;
+ rt x9r=hround(w-.5u);
+else: rt x6r=hround(w-1.5u); y6=y5l+eps; rt x9r=hround(w-.75u); fi
+arm(5,6,f,beak_darkness,0); arm(0,7,g,beak_darkness,0); % middle arm and serif
+if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,1/3,.5cap_jut); % upper serif
+ dish_serif(2,1,c,1/3,cap_jut,d,1/3,1.25cap_jut); fi % lower serif
+math_fit(0,ic#-2.5u#); penlabels(0,1,2,3,4,5,6,7,8,9); endchar;
+
+cmchar "The letter G";
+if serifs: beginchar("G",14u#,cap_height#,0);
+ italcorr cap_height#*slant-1.5u#-.5cap_serif_fit#;
+ adjust_fit(0,.5cap_serif_fit#);
+ pickup tiny.nib; pos0(cap_stem,0); pos7(cap_stem,0);
+ rt x0r=hround(w-2u); y0=good.y(.1[bar_height,x_height]+1); x7=x0;
+ pickup fine.nib;
+ if hefty: bot y7=0; pos5(cap_stem,0); x5=x0; top y5=tiny.top y0;
+ else: pos5(cap_hair,0); pos8(cap_stem,0);
+ y7=.5bar_height; z5l=z8l; z8=z7; x9=x8r; bot y9=0;
+ filldraw z8l{down}..{4(x9-x8),y9-y8}z9--z8r--cycle; fi % spur
+ pos1(cap_hair,0); pos2(cap_band,90);
+ pos3(cap_curve,180); pos4(cap_band,270);
+ rt x1r=hround(w-2u); lft x3r=hround u; x2=x4=.55[x3,x1];
+ top y2r=h+o; bot y4r=-o; y3=.5[y2,y4];
+ bot y1=min(vround max(.6h,x_height-.5vair),bot y2l-eps);
+ (x2l',y2l)=whatever[z2r,z1l]; x2l:=min(x2l',x2l+.5u);
+ (x4l',y4l)=whatever[z4r,z5l]; x4l:=min(x4l',x4l+.5u);
+ filldraw stroke z1e{x2-x1,10(y2-y1)}
+ ...pulled_arc.e(2,3) & pulled_arc.e(3,4)...z5e{up}; % arc
+ pos6(.3[fine.breadth,cap_hair],0); x6r=x1r; top y6=h+o;
+ x1r-x1'=2cap_curve-fine; y1'=y1;
+ path upper_arc; upper_arc=z1{x2-x1,10(y2-y1)}..z2{left};
+ numeric t; t=xpart(upper_arc intersectiontimes (z6l--z1'));
+ filldraw z1r--z6r--z6l--subpath(t,0) of upper_arc--cycle; % barb
+ pickup tiny.nib; filldraw stroke z0e--z7e; % stem
+ dish_serif(0,7,a,1/3,max(cap_jut,2.25u),b,1/3,1.25u); % serif
+ math_fit(-.3cap_height#*slant-.5u#,ic#);
+else: beginchar("G",12u#,cap_height#,0);
+ italcorr cap_height#*slant-.5u#;
+ adjust_fit(0,0);
+ pickup fine.nib; pos1(1.2flare,80); pos2(slab,90);
+ pos3(cap_curve,180); pos4(slab,270); pos5(flare,270);
+ rt x1r=hround(w-1.35u); x2=x4=.5w+u;
+ lft x3r=hround max(u,2u-.5cap_curve); rt x5l=hround(w-1.2u);
+ top y1r=vround .93h+o; top y2r=h+o; y3=.5h;
+ bot y4r=-o; bot y5r=vround .07h-o;
+ filldraw stroke rterm.e(2,1,right,.9,4)&super_arc.e(2,3)
+ & super_arc.e(3,4) & term.e(4,5,right,1,4); % arc and terminals
+ pos0(stem,0); pos7(stem,0);
+ z7r=z5r; x0=x7; top y0=1+vround .35[bar_height,x_height];
+ filldraw stroke z0e--z7e; % stem
+ pos8(cap_bar,90); pos9(cap_bar,90);
+ z0r=z9r; y8=y9; lft x8=hround x4;
+ filldraw stroke z8e--z9e; % bar
+ math_fit(-.3cap_height#*slant-.5u#,.5ic#); fi
+penlabels(0,1,1',2,3,4,5,6,7,8,9); endchar;
+
+cmchar "The letter H";
+beginchar("H",13u#+width_adj#,cap_height#,0);
+italcorr cap_height#*slant-cap_serif_fit#+cap_jut#-2.5u#+min(.5cap_stem#,u#);
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
+pos3(cap_stem,0); pos4(cap_stem,0);
+lft x1l=lft x2l=hround max(2u,3u-.5cap_stem); x3=x4=w-x1;
+top y1=top y3=h; bot y2=bot y4=0;
+filldraw stroke z1e--z2e; % left stem
+filldraw stroke z3e--z4e; % right stem
+penpos5(cap_bar,90); penpos6(cap_bar,90);
+x5=x1; x6=x3; y5=y6=.52h;
+fill stroke z5e--z6e; % bar
+if serifs: numeric inner_jut;
+ if rt x1r+cap_jut+.5u+1<=lft x3l-cap_jut: inner_jut=cap_jut;
+ else: rt x1r+inner_jut+.5u+1=lft x3l-inner_jut; fi
+ dish_serif(1,2,a,1/3,cap_jut,b,1/3,inner_jut); % upper left serif
+ dish_serif(2,1,c,1/3,cap_jut,d,1/3,inner_jut); % lower left serif
+ dish_serif(3,4,e,1/3,inner_jut,f,1/3,cap_jut); % upper left serif
+ dish_serif(4,3,g,1/3,inner_jut,h,1/3,cap_jut); fi % lower left serif
+math_fit(0,.5ic#); penlabels(1,2,3,4,5,6); endchar;
+
+cmchar "The letter I";
+beginchar("I",max(6u#,4u#+cap_stem#),cap_height#,0);
+italcorr cap_height#*slant-.25u#;
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
+lft x1l=lft x2l=hround(.5w-.5cap_stem); top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+if serifs: dish_serif(1,2,a,1/3,1.05cap_jut,b,1/3,1.05cap_jut); % upper serif
+ dish_serif(2,1,c,1/3,1.05cap_jut,d,1/3,1.05cap_jut); fi % lower serif
+math_fit(0,.5ic#); penlabels(1,2); endchar;
+
+cmchar "The letter J";
+beginchar("J",9u#,cap_height#,0);
+italcorr cap_height#*slant-cap_serif_fit#
+ +.75cap_jut#-2.5u#+min(.5cap_stem#,u#);
+adjust_fit(0,cap_serif_fit#);
+pickup tiny.nib; pos1(cap_stem',0); pos2(cap_stem',0);
+top y1=h; rt x1r=hround(w-2u); x2=x1; y2=.21h;
+if serifs: pos3(vair,-90); pos4(cap_hair,-180);
+ pos5(flare+(cap_stem-stem),-180);
+ bot y3r=-o; x3=.5[x4,x2]; y5=1/6h; rt x5l=hround 2.75u; z5r=z4r;
+ filldraw stroke z1e--z2e&super_arc.e(2,3); % stem and arc
+ dish_serif(1,2,a,1/3,1.3cap_jut,b,1/3,.75cap_jut); % serif
+ bulb(3,4,5); % bulb
+else: filldraw stroke z1e--z2e; % stem
+ pickup fine.nib; pos3(cap_stem',0); z3=z2;
+ pos4(flare,angle(6.5u,-h)); pos5(1.1flare,-100);
+ bot y4r=-o; x4r=.5[x5r,x3r]; lft x5r=hround.75u; bot y5r=vround.06h-o;
+ filldraw stroke z3e{down}....term.e(4,5,left,1,4); fi % arc and terminal
+math_fit(0,.5ic#-.5u#); penlabels(1,2,3,4,5); endchar;
+
+cmchar "The letter K";
+beginchar("K",13.5u#,cap_height#,0);
+italcorr cap_height#*slant-.5u#;
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+numeric right_jut,stem[],alpha[];
+if serifs: right_jut=.6cap_jut;
+else: right_jut=.4tiny; fi
+pickup tiny.nib; pos1(fudged.cap_stem,0); pos2(fudged.cap_stem,0);
+lft x1l=lft x2l=hround max(2u,3u-.5fudged.cap_stem); top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+stem2=max(tiny.breadth,fudged.cap_stem-3stem_corr);
+stem1=max(tiny.breadth,fudged.hair if hefty:-3stem_corr fi);
+top y3=h; rt x3r=hround(r-letter_fit-u-right_jut);
+bot y6=0; rt x6r=hround(r-letter_fit-.75u-right_jut);
+x4=x1; y4=1/3h;
+alpha1=diag_ratio(1,.5(stem1-tiny),y3-y4,x3r-x4);
+penpos3(alpha1*(stem1-tiny),0); penpos4(whatever,-90);
+alpha2=diag_ratio(1,.5(stem2-tiny),y1-y6,x6r-x1);
+penpos6(alpha2*(stem2-tiny),0);
+forsuffixes $=l,r: y3'$=h; y6'$=0; z4$=z3'$+whatever*(z3-z4);
+ z5$=z6'$+whatever*(z1-z6)=whatever[z3,z4]; endfor
+z5=.5[z5l,z5r];
+z3'r=z3r+penoffset z3-z4 of currentpen+whatever*(z3-z4);
+% we have also |z3'l=z3l+penoffset z4-z3 of currentpen+whatever*(z3-z4)|;\]
+z6'r=z6r+penoffset z1-z6 of currentpen+whatever*(z1-z6);
+z6'l=z6l+penoffset z6-z1 of currentpen+whatever*(z1-z6);
+fill z4r--diag_end(4r,3'r,1,.5,3'l,4l)--z4l--cycle; % upper diagonal
+fill z5l--diag_end(5l,6'l,.5,1,6'r,5r)--z5r--cycle; % lower diagonal
+if serifs: numeric inner_jut;
+ if rt x2r+cap_jut+.5u+1<=lft x6l-cap_jut: inner_jut=cap_jut;
+ else: rt x2r+cap_jut+.5u+1=lft x6l-inner_jut; fi
+ dish_serif(1,2,a,1/3,cap_jut,b,1/3,cap_jut); % upper stem serif
+ dish_serif(2,1,c,1/3,cap_jut,d,1/3,cap_jut); % lower stem serif
+ dish_serif(3,4,e,2/3,1.2cap_jut,f,1/2,right_jut)(dark); % upper diagonal serif
+ dish_serif(6,5,g,1/2,inner_jut,h,1/3,right_jut)(dark);fi % lower diagonal serif
+math_fit(0,.5ic#); penlabels(1,2,3,4,5,6); endchar;
+
+cmchar "The letter L";
+beginchar("L",11u#-width_adj#,cap_height#,0);
+adjust_fit(cap_serif_fit#,0);
+pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
+lft x1l=lft x2l=hround max(2u,3u-.5cap_stem); top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+pickup crisp.nib; pos3(slab,-90); pos4(hair,0);
+bot y3r=0; x3=x2; y4=y3l+7/6beak+eps; rt x4r=hround(w-.75u);
+arm(3,4,e,1.2beak_darkness,beak_jut); % lower arm and beak
+if serifs: dish_serif(1,2,a,1/3,cap_jut,b,1/3,1.25cap_jut); % upper serif
+ nodish_serif(2,1,c,1/3,cap_jut,d,1/3,.5cap_jut); fi % lower serif
+math_fit(0,u#); penlabels(1,2,3,4); endchar;
+
+cmchar "The letter M";
+beginchar("M",16u#+width_adj#,cap_height#,0);
+italcorr cap_height#*slant-cap_serif_fit#+cap_jut#-2.5u#+min(.5cap_stem#,u#);
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+numeric stem[]; % thicknesses of the four strokes
+stem1=hround(fudged.hair+stem_corr);
+stem2=hround(fudged.cap_stem-4stem_corr);
+stem3=hround(fudged.hair-stem_corr);
+stem4=hround(fudged.cap_stem-3stem_corr);
+if stem4<stem1: stem4:=stem1; fi
+pickup tiny.nib; pos1(stem1,0); pos2(stem1,0);
+pos3(stem4,0); pos4(stem4,0);
+x1=x2; x3=x4; x1l=w-x3r; rt x3r=hround min(w-2u,w-3u+.5stem4);
+top y1=top y3=h; bot y2=bot y4=0;
+filldraw stroke z1e--z2e; % left stem
+filldraw stroke z3e--z4e; % right stem
+penpos5(stem2,0); penpos6(stem2,0); penpos7(stem3,0); penpos8(stem3,0);
+x5l=x1; x6l=x7l; x8=lft x3l; x6-x5=x8-x7; y5=y8=h; y6=y7;
+if hefty: y6=if monospace: vround 1/3h else: o fi;
+ numeric upper_notch,lower_notch;
+ upper_notch=h-cap_notch_cut; lower_notch=y6+cap_notch_cut;
+ x1'=rt x1r; z1'=whatever[z5l,z6l]; x3'=lft x3l; z3'=whatever[z7r,z8r];
+ z0=whatever[z5r,z6r]=whatever[z7l,z8l];
+ fill z5l..
+ if y1'<upper_notch: {right}(x1'+1,upper_notch){down}... fi
+ {z6-z5}diag_in(5l,6l,1,6r)..diag_out(7l,1,7r,8r){z8-z7}
+ if y3'<upper_notch: ...{up}(x3'-1,upper_notch){right} fi
+ ..z8r--diag_out(8r,1,8l,7l){z7-z8}
+ if y0<=lower_notch: ..{z7-z8}z0{z5-z6}..
+ else: ...{down}(x0+.5,lower_notch)--(x0-.5,lower_notch){up}... fi
+ {z5-z6}diag_in(6r,5r,1,5l)--cycle; % diagonals
+else: y6=0; z0=whatever[z5r,z6r]=whatever[z7l,z8l];
+ fill z5l..{z6-z5}diag_in(5l,6l,1,6r)..diag_out(7l,1,7r,8r){z8-z7}
+ ..z8r--diag_out(8r,1,8l,7l){z7-z8}..{z7-z8}z0{z5-z6}
+ ..{z5-z6}diag_in(6r,5r,1,5l)--cycle; fi % diagonals
+if serifs: serif(1,2,a,1/3,-cap_jut); % upper left serif
+ dish_serif(2,1,b,1/2,cap_jut,c,1/2,cap_jut)(dark); % lower left serif
+ serif(3,4,d,1/3,cap_jut); % upper right serif
+ dish_serif(4,3,e,1/3,cap_jut,f,1/3,cap_jut); fi % lower right serif
+math_fit(0,max(.5ic#-.5u#,0));
+penlabels(0,1,1',2,3,3',4,5,6,7,8); endchar;
+
+cmchar "The letter N";
+beginchar("N",13u#+width_adj#,cap_height#,0);
+italcorr cap_height#*slant-cap_serif_fit#+cap_jut#-2.5u#+min(.5cap_stem#,u#);
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+numeric thin_stem; thin_stem=hround(fudged.hair+stem_corr);
+pickup tiny.nib; pos1(thin_stem,0); pos2(thin_stem,0);
+pos3(thin_stem,0); pos4(thin_stem,0);
+pickup tiny.nib; top y1=top y3=h; bot y2=bot y4=0;
+x1=x2; x3=x4; x1l=w-x3r;
+rt x3r=hround min(w-2u,w-3u+.5fudged.cap_stem);
+filldraw stroke z1e--z2e; % left stem
+filldraw stroke z3e--z4e; % right stem
+if hefty: penpos5(fudged.cap_stem,0); penpos6(fudged.cap_stem,0);
+ x5l=x1; x6r=x4; y5=h; y6=0;
+ numeric upper_notch,lower_notch;
+ upper_notch=h-cap_notch_cut; lower_notch=cap_notch_cut;
+ x1'=rt x1r; z1'=whatever[z5l,z6l]; x4'=lft x4l; z4'=whatever[z5r,z6r];
+ fill z5l..
+ if y1'<upper_notch: {right}(x1'+1,upper_notch){down}... fi
+ {z6-z5}diag_in(5l,6l,1,6r)--z6r..
+ if y4'>lower_notch: {left}(x4'-1,lower_notch){up}... fi
+ {z5-z6}diag_in(6r,5r,1,5l)--cycle; % diagonal
+else: penpos5(whatever,0); penpos6(whatever,90);
+ z5l=z1l; z6l=z4l;
+ z7=z6l+(max(eps,cap_stem-3stem_corr-tiny),0) rotated (angle(z5l-z6l)-90);
+ z5r=z7+whatever*(z5l-z6l); z6r=z7+whatever*(z5l-z6l);
+ filldraw stroke z5e..z6e; fi % diagonal
+if serifs: if hefty: serif(1,2,a,1/3,-cap_jut); % upper left serif
+ else: serif(5,6,a,1/3,-cap_jut); fi % upper left serif
+ dish_serif(2,1,b,1/2,cap_jut,c,1/2,cap_jut)(dark); % lower left serif
+ dish_serif(3,4,e,1/2,cap_jut,f,1/2,cap_jut)(dark); fi % upper right serif
+math_fit(0,max(.5ic#-.5u#,0)); penlabels(1,1',2,3,4,4',5,6,7); endchar;
+
+cmchar "The letter O";
+beginchar("O",14u#-width_adj#,cap_height#,0);
+italcorr .7cap_height#*slant-.5u#;
+adjust_fit(0,0);
+penpos1(vair',90); penpos3(vround(vair+1.5vair_corr),-90);
+penpos2(cap_curve,180); penpos4(cap_curve,0);
+if monospace: x2r=hround 1.5u;
+ interim superness:=sqrt superness; % make |"O"|, not |"0"|
+else: x2r=hround u; fi
+x4r=w-x2r; x1=x3=.5w; y1r=h+o; y3r=-o;
+y2=y4=.5h-vair_corr; y2l:=y4l:=.52h;
+penstroke pulled_super_arc.e(1,2)(.5superpull)
+ & pulled_super_arc.e(2,3)(.5superpull)
+ & pulled_super_arc.e(3,4)(.5superpull)
+ & pulled_super_arc.e(4,1)(.5superpull) & cycle; % bowl
+math_fit(-.3cap_height#*slant-.5u#,ic#-.5u#); penlabels(1,2,3,4); endchar;
+
+cmchar "The letter P";
+beginchar("P",12u#,cap_height#,0);
+italcorr .75cap_height#*slant-.5u#;
+adjust_fit(cap_serif_fit#,0);
+pickup tiny.nib; penpos1(cap_stem'-tiny,0); penpos2(cap_stem-tiny,0);
+pos0(cap_stem',0); pos0'(cap_stem,0);
+lft x1l=hround max(2u,3u-.5cap_stem'); top y1=h; bot y2=0;
+x1l=x2l=x0l=x0'l; y0=y0'=y7;
+penpos3(cap_band,90); penpos4(cap_band,90);
+penpos5(cap_curve if hefty:-3stem_corr fi,0);
+penpos6(.5[vair,cap_band],-90); penpos7(.5[vair,cap_band],-90);
+z3r=top z1; y4=y3; y5=.5[y4l,y6l]; y6=y7;
+x7=x2; y7l=vround .5h; x4=x6=.5w+.75u; x5r=hround(w-u);
+x4l:=x6l:=x4-.25cap_curve;
+filldraw stroke z1e--z0e--z0'e--z2e; % stem
+fill stroke z3e..pulled_arc.e(4,5) & pulled_arc.e(5,6)..z7e; % lobe
+if serifs: nodish_serif(1,0,a,1/3,cap_jut,b,1/3,.5cap_jut); % upper serif
+ dish_serif(2,0',c,1/3,cap_jut,d,1/3,cap_jut); fi % lower serif
+math_fit(0,ic#-2.5u#); penlabels(0,1,2,3,4,5,6,7); endchar;
+
+cmchar "The letter Q";
+beginchar("Q",14u#-width_adj#,cap_height#,comma_depth#);
+italcorr .7cap_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric light_curve; light_curve=cap_curve-hround stem_corr;
+penpos1(vair',90); penpos3(vair',-90);
+penpos2(light_curve,180); penpos4(light_curve,0);
+if monospace: x2r=hround 1.5u;
+ interim superness:=sqrt superness; % make |"Q"| like |"O"|
+else: x2r=hround u; fi
+x4r=w-x2r; x1=x3=.5w; y1r=h+o; y2=y4=.5h-vair_corr; y3r=-o;
+penstroke pulled_super_arc.e(1,2)(.5superpull)
+ & pulled_super_arc.e(2,3)(.5superpull)
+ & pulled_super_arc.e(3,4)(.5superpull)
+ & pulled_super_arc.e(4,1)(.5superpull) & cycle; % bowl
+pickup tiny.nib;
+if hefty: penpos5(1.2(.5[cap_bar,light_curve]),0); penpos6(1.2light_curve,0);
+ x5=.5w; x6r=hround(w-1.5u);
+ y5=vround .28h; y6=-d;
+ fill diag_end(6r,5r,.25,1,5l,6l)--diag_end(5l,6l,.5,1,6r,5r)--cycle; % tail
+else: pos3'(vair,270); pos5(vair,180); pos6(vair,90);
+ pos7(cap_curve,85); penpos8(eps,180);
+ z3'=z3; x6=x3; top y6r=vround(.2h+.5vair);
+ lft x5r=hround(.5w-1.25u-.5vair); y5=.5[y3,y6];
+ bot y7l=-d; x7l=2/3[x6,x8]; y8=0; rt x8=hround(x4r+.1u);
+ filldraw stroke z3'e{left}...z5e{up}...z6e{right}
+ ..z7e{right}...z8e{up}; fi % tail
+math_fit(-.3cap_height#*slant-.5u#,ic#); penlabels(1,2,3,4,5,6,7); endchar;
+
+cmchar "The letter R";
+beginchar("R",if serifs: 12u#+.5max(2u#,cap_curve#)
+ else:12.5u#-.5width_adj# fi,cap_height#,0);
+italcorr .75cap_height#*slant- if serifs: 1.75 else: .5 fi\\ u#;
+adjust_fit(cap_serif_fit#,0);
+pickup tiny.nib; pos1(cap_stem',0); pos2(cap_stem',0);
+lft x1l=lft x2l=hround max(2u,3u-.5cap_stem'); top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+penpos3(cap_band,90); penpos4(cap_band,90);
+penpos5(cap_curve if hefty:-3stem_corr fi,0);
+penpos6(vair,-90); penpos7(vair,-90);
+z3r=top z1; y4=y3; y5=.5[y4l,y6l]; y6=y7;
+x7=x2; y7l=vround(.5h+.5vair); x4=x6;
+if serifs: x4=.5w-.5u; x5r=hround(w-2.25u);
+else: x4=.5w+.5u; x5r=hround(w-u); fi
+x4l:=x6l:=x4-.125cap_curve;
+fill stroke z3e..pulled_arc.e(4,5) & pulled_arc.e(5,6)..z7e; % lobe
+if serifs: pos6'(vair,-90); pos0(cap_stem,180);
+ pos8(cap_curve,180); pos9(vair,-90); pos10(hair,0);
+ z6'=z6; lft x0r=lft x8r=hround(x5-2/3u-.5cap_curve);
+ y8=1/3[y2,y7]; y0=3/5[y2,y7]; x9=.5[x8l,x10r];
+ bot y9r=-o; rt x10r=hround(w-.05u); y10=1/4[y2,y7];
+ filldraw stroke z6'e{right}..z0e---z8e....z9e{right}..z10e{up}; % tail
+ nodish_serif(1,2,a,1/3,cap_jut,b,1/3,.5cap_jut); % upper serif
+ dish_serif(2,1,c,1/3,cap_jut,d,1/3,cap_jut); % lower serif
+else: penpos8(cap_stem-2stem_corr,0); penpos9(cap_stem,0);
+ x8=x6+.5u; y8=y6; x9r=hround(w-.5u); y9=0;
+ fill z8l--diag_end(8l,9l,.5,1,9r,8r)--z8r--cycle; fi % tail
+math_fit(0,.75ic#); penlabels(0,1,2,3,4,5,6,7,8,9,10); endchar;
+
+cmchar "The letter S";
+beginchar("S",10u#,cap_height#,0);
+italcorr cap_height#*slant-u#;
+adjust_fit(0,0);
+numeric theta; theta=90-angle(50u,h); slope:=-h/50u; % angle at middle
+numeric s_slab; s_slab=if serifs:slab else:vround .2[slab,cap_stem] fi;
+numeric ess'; ess'=max(fine.breadth,cap_ess);
+pickup fine.nib; pos2(max(fine.breadth,s_slab-vround vair_corr),-90);
+pos0(ess',theta); pos7(s_slab,-90);
+x2+x7=2x0=w; x7-x2=if serifs: u else: 0 fi; top y2l=h+o; bot y7r=-o;
+y0=.52h; lft x3l=hround u; rt x6r=hround(w-u);
+x3r-x3l=x6r-x6l=hround .5[s_slab,ess']-fine;
+ellipse_set(2l,3l,4l,0l); ellipse_set(2r,3r,4r,0r); y3=y3r;
+ellipse_set(7l,6l,5l,0l); ellipse_set(7r,6r,5r,0r); y6=y6r;
+filldraw stroke super_arc.e(2,3) & z3e{down}
+ ..z4e---z5e..z6e{down} & super_arc.e(6,7); % main stroke
+if serifs: pos1(hair,180); pos8(hair,180);
+ rt x1l=hround(w-1.5u); lft x8r=hround u;
+ bot y1=vround 2/3h+1; top y8=vround 1/3h-1;
+ filldraw stroke z1e{x2-x1,10(y2-y1)}....{left}z2e; % upper arc
+ filldraw stroke z7e{left}....{up}z8e; % lower arc
+ path upper_arc, lower_arc;
+ upper_arc=z1{x2-x1,10(y2-y1)}....{left}z2;
+ lower_arc=z7{left}....{up}z8;
+ pos10(.3[fine.breadth,cap_hair],0); pos9(.3[fine.breadth,cap_hair],0);
+ x10r=x1l; top y10=top y2l; x9l=x8r; bot y9=bot y7r;
+ x1l-x1'=x8'-x8r=1.6cap_curve-fine; y1'=y1; y8'=y8;
+ numeric t; t=xpart(upper_arc intersectiontimes(z10l--z1'));
+ filldraw z1l--z10r--z10l--subpath(t,0) of upper_arc--cycle; % upper barb
+ t:=xpart(lower_arc intersectiontimes(z9r--z8'));
+ filldraw z8r--z9l--z9r--subpath(t,1) of lower_arc--cycle; % lower barb
+else: pos1(1.2flare,-100); pos8(1.2flare,-100);
+ x1l=good.x(x1l+w-1.75u-rt x1); lft x8r=hround .8u;
+ top y1l=vround .93h+o; bot y8r=vround .1h-o;
+ filldraw stroke term.e(2,1,right,.9,4); % upper arc and terminal
+ filldraw stroke term.e(7,8,left,1,4); fi % lower arc and terminal
+math_fit(0,.5ic#); penlabels(0,1,1',2,3,4,5,6,7,8,8',9,10); endchar;
+
+cmchar "The letter T";
+beginchar("T",13u#-width_adj#,cap_height#,0);
+italcorr cap_height#*slant-beak_jut#-.25u#;
+adjust_fit(0,0);
+h:=vround(h-2stem_corr);
+pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
+lft x1l=lft x2l=hround(.5w-.5cap_stem); top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+pickup crisp.nib; pos3(slab,90); pos4(hair,0);
+top y3r=h; x3=x1; rt x4r=hround(w-.65u); y4=good.y(y3l-beak)-eps;
+arm(3,4,e,beak_darkness,.7beak_jut); % right arm and beak
+pos5(hair,180); x5=w-x4; y5=y4;
+arm(3,5,f,beak_darkness,-.7beak_jut); % left arm and beak
+if serifs: dish_serif(2,1,c,1/3,1.414cap_jut,d,1/3,1.414cap_jut); % lower serif
+ nodish_serif(1,2,a,1/3,.5cap_jut,b,1/3,.5cap_jut); fi % upper bracketing
+math_fit(-.75cap_height#*slant,ic#-2.5u#); penlabels(1,2,3,4,5,6); endchar;
+
+cmchar "The letter U";
+beginchar("U",13u#+.5width_adj#,cap_height#,0);
+italcorr cap_height#*slant-cap_serif_fit#+cap_jut#-2.5u#+min(.5cap_stem#,u#);
+if monospace: adjust_fit(cap_serif_fit#-.5u#,cap_serif_fit#-.5u#)
+else: adjust_fit(cap_serif_fit#,cap_serif_fit#) fi;
+pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
+pos2'(cap_stem,180); z2'=z2;
+pos3(cap_band,-90);
+pos4(cap_hair,0); pos5(cap_hair,0);
+x1=x2; x3=.5[x1,x5]; x4=x5; x1l=w-x5r;
+top y1=top y5=h; y2=y4=1/3h; bot y3r=-o;
+lft x1l=hround max(2u,3u-.5cap_stem);
+filldraw stroke z1e--z2e; % left stem
+filldraw stroke pulled_arc.e(2',3)
+ & pulled_arc.e(3,4)&z4e--z5e; % arc and right stem
+if serifs: dish_serif(1,2,a,1/3,cap_jut,b,1/3,cap_jut); % left serif
+ dish_serif(5,4,c,1/2,cap_jut,d,1/2,cap_jut)(dark); fi % right serif
+math_fit(-cap_serif_fit#-.3cap_height#*slant-min(cap_height#*slant,u#),
+ max(.5ic#-.5u#,0)); penlabels(1,2,3,4,5); endchar;
+
+cmchar "The letter V";
+beginchar("V",13u#,cap_height#,0);
+italcorr cap_height#*slant+.25u#;
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+numeric left_stem,right_stem,outer_jut,alpha;
+left_stem=cap_stem-stem_corr;
+right_stem=min(cap_hair if hefty:-2stem_corr fi,left_stem);
+outer_jut=.75cap_jut; x1l=w-x4r=l+letter_fit+outer_jut+.25u; y1=y4=h;
+x2-x1=x4-x3; x2l+apex_corr=x3l; y2=y3=-apex_o;
+alpha=diag_ratio(2,right_stem,y1-y2,x4r-x1l-apex_corr);
+penpos1(alpha*left_stem,0); penpos2(alpha*left_stem,0);
+penpos3(alpha*right_stem,0); penpos4(alpha*right_stem,0);
+z0=whatever[z1r,z2r]=whatever[z3l,z4l];
+if y0>cap_notch_cut: y0:=cap_notch_cut;
+ fill z0+.5right{up}...{z4-z3}diag_end(3l,4l,1,1,4r,3r)
+ --diag_end(4r,3r,1,1,2l,1l)--diag_end(2l,1l,1,1,1r,2r){z2-z1}
+ ...{down}z0+.5left--cycle; % left and right diagonals
+else: fill z0--diag_end(0,4l,1,1,4r,3r)--diag_end(4r,3r,1,1,2l,1l)
+ --diag_end(2l,1l,1,1,1r,0)--cycle; fi % left and right diagonals
+if serifs: numeric inner_jut; pickup tiny.nib;
+ prime_points_inside(1,2); prime_points_inside(4,3);
+ if rt x1'r+cap_jut+.5u+1<=lft x4'l-cap_jut: inner_jut=cap_jut;
+ else: rt x1'r+inner_jut+.5u+1=lft x4'l-inner_jut; fi
+ dish_serif(1',2,a,1/3,outer_jut,b,1/2,inner_jut); % left serif
+ dish_serif(4',3,c,.6,inner_jut,d,1/2,outer_jut)(dark); fi % right serif
+math_fit(.75u#-cap_height#*slant,ic#-4u#); penlabels(0,1,2,3,4); endchar;
+
+cmchar "The letter W";
+beginchar("W",18u#,cap_height#,0);
+italcorr cap_height#*slant+.25u#;
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+numeric stem[],outer_jut,upper_notch,alpha,mid_corr;
+outer_jut=.7cap_jut; x1l=w-x8r=l+letter_fit+outer_jut+.25u;
+stem1=fudged.cap_stem-stem_corr;
+stem4=min(fudged.hair if hefty:-2stem_corr fi,stem1);
+stem2=stem4 if hefty:-2stem_corr fi;
+stem3=stem1 if hefty:-2stem_corr fi;
+x2-x1=x4-x3=x6-x5=x8-x7; x2l+apex_corr=x3l; x6l+apex_corr=x7l;
+y1=y8=h; y2=y3=y6=y7=-apex_o; y4=y5=if monospace: vround .6 fi\\ h;
+mid_corr=if monospace or hefty:-apex_corr else: 1/3jut fi;
+alpha=diag_ratio(4,stem2-stem3+stem4,y1-y2,x8r-x1l+mid_corr-2apex_corr);
+penpos1(alpha*stem1,0); penpos2(alpha*stem1,0);
+penpos3(alpha*stem2,0); penpos4(alpha*stem2,0);
+penpos5(alpha*stem3,0); penpos6(alpha*stem3,0);
+penpos7(alpha*stem4,0); penpos8(alpha*stem4,0);
+x4l-x1l=floor(x4l-x1l+.5(x5r+mid_corr-x4r)); % |x5r+mid_corr| $\approx$ |x4r|
+z23=whatever[z1r,z2r]=whatever[z3l,z4l];
+z45=whatever[z3r,z4r]=whatever[z5l,z6l];
+z67=whatever[z5r,z6r]=whatever[z7l,z8l]; upper_notch=y4-cap_notch_cut;
+fill diag_end(1l,2l,1,1,3r,4r){z4-z3}
+ ...if y45<upper_notch:(x45,upper_notch)+.5left{up}
+ --(x45,upper_notch)+.5right{down} else: z45&z45 fi
+ ...{z6-z5}diag_end(5l,6l,1,1,7r,8r)--diag_end(7r,8r,1,1,8l,7l){z7-z8}
+ ...if y67>cap_notch_cut:(x67,cap_notch_cut)+.5right{down}
+ --(x67,cap_notch_cut)+.5left{up} else: z67&z67 fi
+ ...{z5-z6}special_diag_end(6,5,4,3){z3-z4}
+ ...if y23>cap_notch_cut:(x23,cap_notch_cut)+.5right{down}
+ --(x23,cap_notch_cut)+.5left{up} else: z23&z23 fi
+ ...{z1-z2}diag_end(2r,1r,1,1,1l,2l)--cycle; % diagonals
+if serifs: numeric inner_jut[]; pickup tiny.nib;
+ prime_points_inside(1,2); prime_points_inside(5,6); prime_points_inside(8,7);
+ if monospace: inner_jut1=inner_jut4=1.5cap_jut;
+ elseif hefty: inner_jut1=inner_jut4=cap_jut;
+ else: fill diag_end(6r,5r,1,1,5l,6l)
+ --.5[z5l,z6l]--.5[z5r,z6r]--cycle; % middle stem
+ inner_jut2=.7inner_jut1; inner_jut4=1.1inner_jut3;
+ if rt x1'r+cap_jut+.5u+1<=lft x5'l-.7cap_jut: inner_jut1=cap_jut;
+ else: rt x1'r+inner_jut1+.5u+1=lft x5'l-inner_jut2; fi
+ if rt x5'r+cap_jut+.5u+1<=lft x8'l-1.1cap_jut: inner_jut3=cap_jut;
+ else: rt x5'r+inner_jut3+.5u+1=lft x8'l-inner_jut4; fi
+ dish_serif(5',6,e,1/3,inner_jut2,f,1/2,inner_jut3); fi % middle serif
+ dish_serif(1',2,a,1/3,outer_jut,b,1/2,inner_jut1); % left serif
+ dish_serif(8',7,c,.6,inner_jut4,d,1/2,outer_jut)(dark); fi % right serif
+math_fit(.75u#-cap_height#*slant,ic#-2.5u#);
+penlabels(0,1,2,3,4,5,6,7,8,23,45,67); endchar;
+
+cmchar "The letter X";
+beginchar("X",13u#,cap_height#,0);
+italcorr cap_height#*slant-.25u#;
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+numeric stem[],outer_jut,xjut,alpha[];
+stem1=cap_stem-2stem_corr; stem2=min(cap_hair,stem1);
+outer_jut=.75cap_jut; xjut= if serifs: (stem1-stem2)/4 else: 0 fi;
+x1l=l+letter_fit+.5u+outer_jut; x2r=r-letter_fit-u-outer_jut-xjut;
+x3l=l+letter_fit+.25u+outer_jut+xjut; x4r=r-letter_fit-.25u-outer_jut;
+y1=y2=h; y3=y4=0;
+alpha1=diag_ratio(1,stem1,h,x4r-x1l);
+alpha2=diag_ratio(1,stem2,h,x2r-x3l);
+penpos1(alpha1*stem1,0); penpos2(alpha2*stem2,0);
+penpos3(alpha2*stem2,0); penpos4(alpha1*stem1,0);
+if hefty: z0=whatever[z1,z4]=whatever[z2,z3];
+ x12=x34=x0; y13=y24=y0;
+ z12=whatever[z2l,z3l]; z13=whatever[z2l,z3l];
+ z24=whatever[z2r,z3r]; z34=whatever[z2r,z3r];
+ forsuffixes $=13,24,34: z$'=.1[z$,z0]; endfor
+ fill diag_end(12,1r,.5,1,1l,13')--z13'--diag_end(13',3l,1,.5,3r,34')--z34'
+ --diag_end(34',4l,.5,1,4r,24')--z24'
+ --diag_end(24',2r,1,.5,2l,12)--z12--cycle; % diagonals
+else: fill diag_end(4r,1r,.5,1,1l,4l)
+ --diag_end(1l,4l,.5,1,4r,1r)--cycle; % left diagonal
+ fill diag_end(2l,3l,.5,1,3r,2r)
+ --diag_end(3r,2r,.5,1,2l,3l)--cycle; fi % right diagonal
+if serifs: numeric inner_jut[]; pickup tiny.nib;
+ prime_points_inside(1,4); prime_points_inside(2,3);
+ prime_points_inside(3,2); prime_points_inside(4,1);
+ if rt x1'r+cap_jut+.5u+1<=lft x2'l-cap_jut-xjut: inner_jut1=cap_jut;
+ else: rt x1'r+inner_jut1+.5u+1=lft x2'l-inner_jut1-xjut; fi
+ if rt x3'r+cap_jut+.5u+1<=lft x4'l-cap_jut-xjut: inner_jut2=cap_jut;
+ else: rt x3'r+inner_jut2+.5u+1=lft x4'l-inner_jut2-xjut; fi
+ dish_serif(1',4,a,1/3,outer_jut,b,2/3,inner_jut1); % upper left serif
+ dish_serif(4',1,c,2/3,inner_jut2,d,1/3,outer_jut); % lowers right serif
+ dish_serif(2',3,e,2/3,inner_jut1+xjut,
+ f,1/2,outer_jut+xjut)(dark); % upper right serif
+ dish_serif(3',2,g,1/2,outer_jut+xjut,
+ h,2/3,inner_jut2+xjut)(dark); fi % lower left serif
+math_fit(0,.5ic#); penlabels(0,1,2,3,4,12,13,24,34); endchar;
+
+cmchar "The letter Y";
+beginchar("Y",13u#,cap_height#,0);
+italcorr cap_height#*slant+.45u#;
+adjust_fit(cap_serif_fit#,cap_serif_fit#);
+numeric left_stem,right_stem,outer_jut,dy,alpha;
+left_stem=cap_stem-stem_corr;
+right_stem=min(cap_hair if hefty:-2stem_corr fi,left_stem);
+outer_jut=.75cap_jut; x1l=w-x4r=l+letter_fit+outer_jut+.05u;
+x2l=x5l=hround(.5w-.5left_stem); x3r=x5r; y1=y4=h; y2=y3=y5=.4h;
+dy=y1-y2; alpha=((x2l-x1l)++dy)/dy;
+penpos1(alpha*left_stem,0); penpos2(alpha*left_stem,0);
+penpos3(alpha*right_stem,0); penpos4(alpha*right_stem,0);
+penpos5(left_stem,0); penpos6(left_stem,0); x5=x6; y6=0;
+z0=whatever[z1r,z2r]=whatever[z3l,z4l];
+if y0>y2+cap_notch_cut: y0:=y2+cap_notch_cut;
+ fill z0+.5right{up}...{z4-z3}diag_end(3l,4l,1,1,4r,3r)--z5r
+ --diag_end(5r,6r,1,1,6l,5l)--z5l--diag_end(2l,1l,1,1,1r,2r){z2-z1}
+ ...{down}z0+.5left--cycle; % diagonals and stem
+else: fill z0--diag_end(0,4l,1,1,4r,3r)--z5r
+ --diag_end(5r,6r,1,1,6l,5l)--z5l
+ --diag_end(2l,1l,1,1,1r,0)--cycle; fi % diagonals and stem
+if serifs: numeric inner_jut; pickup tiny.nib;
+ prime_points_inside(1,2); prime_points_inside(4,3); prime_points_inside(6,5);
+ if rt x1'r+cap_jut+.5u+1<=lft x4'l-cap_jut: inner_jut=cap_jut;
+ else: rt x1'r+inner_jut+.5u+1=lft x4'l-inner_jut; fi
+ dish_serif(1',2,a,1/3,outer_jut,b,1/2,inner_jut); % upper left serif
+ dish_serif(4',3,c,.6,inner_jut,d,1/2,outer_jut)(dark); % upper right serif
+ dish_serif(6',5,e,1/3,cap_jut,f,1/3,cap_jut); fi % lower serif
+math_fit(.5u#-cap_height#*slant,ic#-4u#);
+penlabels(0,1,2,3,4,5,6); endchar;
+
+cmchar "The letter Z";
+beginchar("Z",11u#,cap_height#,0);
+italcorr cap_height#*slant-.5u#;
+adjust_fit(0,0);
+numeric arm_thickness[],z_stem;
+if hefty: arm_thickness1=Vround(slab-vair_corr); arm_thickness2=slab;
+ z_stem=.8[vair,cap_stem];
+else: arm_thickness1=slab; arm_thickness2=vround(slab+vair_corr);
+ z_stem=.9[vair,cap_stem]; fi
+pickup tiny.nib; x3l=x4l=w-x1r=w-x2r; lft x3l=hround u;
+top y1=h; y2=min(y1,h-2/3arm_thickness1);
+bot y4=0; y3=max(y4,2/3arm_thickness2);
+numeric alpha; alpha=diag_ratio(1,z_stem-tiny,y2-y3,x2r-x3l);
+penpos1(alpha*(z_stem-tiny),0); penpos2(alpha*(z_stem-tiny),0);
+penpos3(alpha*(z_stem-tiny),0); penpos4(alpha*(z_stem-tiny),0);
+pair delta; delta=penoffset z3-z2 of currentpen;
+fill top lft z1l--z2l+delta---z3l+delta..lft z3l---lft z4l..bot z4l
+ ---bot rt z4r--z3r-delta---z2r-delta..rt z2r---rt z1r..top z1r
+ ---cycle; % diagonal
+pickup crisp.nib; pos5(arm_thickness1,90); pos6(hair,180);
+top y5r=h; x5=x1; lft x6r=hround 1.25u; y6=good.y(y5l-beak)-eps;
+arm(5,6,a,beak_darkness**.8,-.4beak_jut); % upper arm and beak
+pos7(arm_thickness2,-90); pos8(hair,0);
+bot y7r=0; x7=x4; rt x8r=hround(w-.9u); y8=good.y(y7l+1.2beak)+eps;
+arm(7,8,b,beak_darkness**.9,.6beak_jut); % lower arm and beak
+math_fit(0,.5ic#); penlabels(1,2,3,4,5,6,7,8); endchar;
+
+ % R O M A N U ends %
+
+
+
+ %=============================================%
+ % The last characters are from R O M A N L %
+ %=============================================%
+
+
+
+% Computer Modern Roman lower case:
+% These letters were originally coded by D. E. Knuth in November, 1979,
+% inspired by the Monotype faces used in {\sl The Art of Computer Programming}.
+% Sans serif designs by Richard Southall were added in April, 1982.
+% The programs were revised for the new \MF\ conventions in 1985.
+
+% Character codes \0141 through \0172 are generated.
+
+cmchar "The letter a";
+beginchar("a",9u#,x_height#,0);
+bh#:=min(bar_height#,1.14x_height#-bar_height#); define_pixels(bh);
+italcorr 1/3[bh#,x_height#]*slant+.5stem#-serif_fit#-2u#;
+adjust_fit(0,serif_fit# if serifs: if hair#+.5stem#>1.5u#:-.25u# fi\\fi);
+pickup fine.nib; top y3r=h+vround 1.5oo;
+if serifs: pos1(flare,180); pos2(hair,180);
+ pos3(vair,90); lft x1r=hround max(u,2.1u-.5flare); x3=.5w-.5u;
+ y1=min(bh+.5flare+2vair+2,.9[bh,h]-.5flare);
+ bulb(3,2,1); % bulb
+else: pos1(5/7[vair,flare],95); x1l=good.x 1.5u; x1r:=good.x x1r;
+ pos3(1/8[vair,thin_join],90);
+ x3=.5w-.2u; top y1r=vround .82[bh,top y3r];
+ filldraw stroke term.e(3,1,left,.9,4); fi % terminal
+pos4(stem,0); rt x4r=hround(w-2.5u+.5stem); y4=1/3[bh,h];
+pos5(stem,0); x5=x4; y5=max(.55bh,2vair);
+filldraw stroke super_arc.e(3,4)&z4e..z5e; % arc and stem
+pos6(.3[thin_join,vair],90); x6=x4; bot y6=bh;
+pos7(hround(curve-2stem_corr),180);
+lft x7r=hround max(.5u,1.5u-.5curve); y7=1/3[top y8l,top y6r];
+pos8(vair,270); x8l=.5w-.75u; bot y8r=-oo;
+pos9(thin_join,360); z9l=z5l;
+(x,y8r)=whatever[z8l,z9l]; x8r:=max(x,x8-u);
+{{interim superness:=more_super;
+ filldraw stroke z9e{down}...z8e{left}...{up}z7e&super_arc.e(7,6)}}; % bowl
+if serifs: numeric shaved_stem; shaved_stem=hround(stem-3stem_corr);
+ if hair#+.5stem#>1.5u#: pickup tiny.nib;
+ pos5'(shaved_stem,0); rt x5'r=fine.rt x5r; y5'=y5;
+ pos10(shaved_stem,0); x10=x5'; y10=.2[.5tiny,bh];
+ pos11(shaved_stem,0); rt x11r=hround(w-.25u); bot y11=0;
+ pos12(shaved_stem,0); x11=x12; top y12=slab+eps;
+ filldraw z5'l---z10l...z11l{right}--z11r
+ --z12r{left}...z10r+.75(z12-z11)---z5'r--cycle; % foot
+ else: pickup crisp.nib; pos5'(shaved_stem,0); rt x5'r=fine.rt x5r; y5'=y5;
+ pos10(shaved_stem,0); x10=x5'; y10=1/3bh;
+ pos11(.2[vair,stem],90); x11r=.5[x10r,x12r]; bot y11l=-vround .5oo;
+ pos12(hair,180); rt x12l=hround(w-.1u); y12=max(y10,y11+vair);
+ pos13(hair,180); x13=x12; top y13=max(vround .6bh,top y12);
+ (x',y11l)=whatever[z11r,z12r]; x11l:=max(x',x10);
+ filldraw stroke z5'e---z10e...z11e{right}...z12e---z13e; fi % hook
+else: numeric shaved_stem; shaved_stem=hround(stem-stem_corr);
+ pickup tiny.nib; pos5'(shaved_stem,0); rt x5'r=fine.rt x5r; y5'=y5;
+ pos10(shaved_stem,0); x10=x5'; bot y10=0;
+ filldraw stroke z5'e--z10e; fi % base of stem
+penlabels(1,2,3,4,5,6,7,8,9,10,11,12,13); endchar;
+
+cmchar "The letter b";
+beginchar("b",10u#+serif_fit#,asc_height#,0);
+italcorr .5x_height#*slant+min(.5curve#-u#,-.25u#);
+adjust_fit(serif_fit#,0);
+pickup tiny.nib; pos1(stem',0); pos2(stem,0);
+pos0'(stem',0); pos0(stem,0); z0l=z0'l; x0'=x1; x0=x2;
+lft x1l=hround(2.5u-.5stem'); top y1=h;
+numeric edge; edge=rt x2r;
+pickup fine.nib; pos3(if hefty:thin_join else: hair fi,180);
+pos4(vair,90); pos5(curve,0); pos6(vair,-90); penpos7(x3l-x3r,-180);
+rt x3l=max(rt x3l-(lft x3r-tiny.lft x2l),1/3[rt x2,edge]);
+y3=1/8[bar_height,x_height];
+x4l=w-.5(w-serif_fit)+.5u; top y4r=x_height+oo;
+rt x5r=hround min(w-1.35u+.5curve,w-.6u); y5=.5x_height;
+x6l=x4l-.2u; bot y6r=-oo;
+x7=x3; y7=min(y3,y6+y4-y3+.6vair);
+(x,y4r)=whatever[z3l,z4l]; x4r:=min(x,.5[x4,x5r]);
+(x',y6r)=whatever[z7l,z6l]; x6r:=min(x',.5[x6,x5r]);
+filldraw stroke z3e{up}...pulled_arc.e(4,5)&pulled_arc.e(5,6)...{up}z7e; % bowl
+y0=ypart(((edge,h)--(edge,0))intersectionpoint(z3l{up}...{right}z4l));
+y2=ypart(((edge,h)--(edge,0))intersectionpoint(z6l{left}...{up}z7l));
+pickup tiny.nib; filldraw stroke z1e--z0'e--z0e--z2e; % stem
+pickup crisp.nib; pos8(hair,0); pos7'(stem,0);
+z7'=z2; x8l=x7'l; bot y8=0;
+filldraw stroke z7'e--z8e; % point
+if serifs: sloped_serif.l(1,0',a,1/3,jut,serif_drop); fi % upper serif
+penlabels(0,1,2,3,4,5,6,7,8); endchar;
+
+cmchar "The letter c";
+beginchar("c",8u#,x_height#,0);
+italcorr x_height#*slant-.2u#;
+adjust_fit(if monospace: .5u#,.5u# else: 0,0 fi);
+pickup fine.nib; pos2(vair',90); pos4(vair',270);
+x2=x4=.5(w+u); top y2r=vround(h+1.5oo); bot y4r=-oo;
+pos3(curve,180); lft x3r=hround max(.6u,1.35u-.5curve); y3=.5h;
+if serifs: pos1(hair,0); pos0(flare,0);
+ y1=min(bar_height+.5flare+2vair'+2,.9[bar_height,h]-.5flare);
+ rt x1r=hround(w-.7u); bulb(2,1,0); % bulb
+ pos5(hair,0); rt x5r=hround(w-.5u);
+ y5=max(good.y(.5bar_height-.9),y4l+vair');
+ (x,y4l)=whatever[z4r,z5l]; x4l:=min(x,x4l+.5u);
+ filldraw stroke pulled_super_arc.e(2,3)(.7superpull)
+ & pulled_super_arc.e(3,4)(.5superpull)
+ ..tension .9 and 1..{x5-x4,5(y5-y4)}z5e; % arc and lower terminal
+else: pos1(4/7[vair',flare],80);
+ rt x1r=hround(w-.6u); top y1r=vround .82[bar_height,top y2r];
+ filldraw stroke term.e(2,1,right,.8,4); % upper terminal
+ pos5(.6[vair',flare],275); rt x5r=hround(w-.5u);
+ y5r=good.y(y5r+1/3bar_height-y5); y5l:=good.y y5l; x5l:=good.x x5l;
+ forsuffixes e=l,r: path p.e; p.e=z4e{right}..tension .9 and 1..z5e;
+ if angle direction 1 of p.e>75:
+ p.e:=z4e{right}..tension atleast.9 and 1..{dir 75}z5e; fi endfor
+ filldraw stroke pulled_super_arc.e(2,3)(.7superpull)
+ & pulled_super_arc.e(3,4)(.5superpull) & p.e; fi % arc and lower terminal
+penlabels(0,1,2,3,4,5); endchar;
+
+cmchar "The letter d";
+beginchar("d",10u#+serif_fit#,asc_height#,0);
+italcorr asc_height#*slant-serif_fit#+.5stem#-2u#;
+adjust_fit(0,serif_fit#);
+pickup tiny.nib; pos1(stem',0); pos2(stem,0);
+pos0'(stem',0); pos0(stem,0); z0r=z0'r; x0'=x1; x0=x2;
+rt x1r=hround(w-2.5u+.5stem'); top y1=h;
+numeric edge; edge=lft x2l;
+pickup fine.nib; pos3(if hefty:thin_join else: hair fi,0);
+pos4(vair,90); pos5(curve,180); pos6(vair,270); penpos7(x3r-x3l,360);
+lft x3l=min(lft x3l-(rt x3r-tiny.rt x2r),1/3[lft x2,edge]);
+y3=1/8[bar_height,x_height];
+x4l=.5(w-serif_fit)-.3u; top y4r=x_height+oo;
+lft x5r=hround max(1.35u-.5curve,.6u); y5=.5x_height;
+x6l=x4l-.2u; bot y6r=-oo;
+x7=x3; y7=min(y3,y6+y4-y3+.6vair);
+(x,y4r)=whatever[z3l,z4l]; x4r:=max(x,.5[x5r,x4]);
+(x',y6r)=whatever[z7l,z6l]; x6r:=max(x',.5[x5r,x6]);
+filldraw stroke z3e{up}...pulled_arc.e(4,5)
+ & pulled_arc.e(5,6)...{up}z7e; % bowl
+y0=ypart(((edge,h)--(edge,0))intersectionpoint(z3l{up}...{left}z4l));
+pickup tiny.nib; bot y2=if serifs:-min(oo,serif_drop) else: 0 fi;
+filldraw stroke z1e--z0'e--z0e--z2e; % stem
+if serifs: sloped_serif.l(1,0',a,1/3,jut,serif_drop); % upper serif
+ sloped_serif.r(2,0,b,1/3,jut,min(oo,serif_drop)); fi % lower serif
+penlabels(0,1,2,3,4,5,6,7); endchar;
+
+cmchar "The letter e";
+beginchar("e",7.25u#+max(.75u#,.5curve#),x_height#,0);
+italcorr .5[bar_height#,x_height#]*slant+.5min(curve#-1.5u#,0);
+adjust_fit(if monospace: .25u#,.5u# else: 0,0 fi);
+numeric left_curve,right_curve;
+left_curve=right_curve+6stem_corr=curve if not serifs: -3stem_corr fi;
+if right_curve<tiny.breadth: right_curve:=tiny.breadth; fi
+if left_curve<tiny.breadth: left_curve:=tiny.breadth; fi
+pickup tiny.nib; pos1(right_curve,0);
+pos2(vair,90); pos3(left_curve,180);
+y1=good.y bar_height; top y2r=h+vround 1.5oo; y0l=bot y1;
+rt x1r=hround min(w-.5u,w-u+.5right_curve);
+lft x3r=hround max(.5u,1.25u-.5left_curve); x2=.5w+.25u;
+{{interim superness:=more_super;
+ filldraw stroke super_arc.e(1,2)}}; % right bowl
+y3=.5[y2,y4]; bot y4r=-oo; x4=x2+.25u;
+if serifs: pos4(vair',270); pos5(hair,360);
+ y5=max(good.y(.5bar_height-.9),y4l+vair); x5r=x1r;
+ (x,y4l)=whatever[z4r,z5]; x4l:=min(x,x4l+.5u);
+ filldraw stroke pulled_arc.e(2,3) & pulled_arc.e(3,4)
+ ...{x5-x4,5(y5-y4)}z5e; % left bowl, arc, and terminal
+else: pos4(vair,270);
+ filldraw stroke super_arc.e(2,3) & super_arc.e(3,4); % left bowl and arc
+ pickup fine.nib; pos4'(vair,270); z4=z4';
+ pos5(.5[vair,flare],275); rt x5r=hround(w-.6u);
+ y5r=good.y(y5r+1/3bar_height-y5); y5l:=good.y y5l; x5l:=good.x x5l;
+ filldraw stroke term.e(4',5,right,1,4); fi % terminal
+path testpath; testpath=super_arc.r(2,3) & super_arc.r(3,4);
+y1'r=y0r=y0l+.6[thin_join,vair]; y1'l=y0l; x1'l=x1'r=x1;
+forsuffixes $=l,r:
+ x0$=xpart(((0,y0$)--(x1,y0$)) intersectionpoint testpath); endfor
+fill stroke z0e--z1'e; % crossbar
+penlabels(0,1,2,3,4,5); endchar;
+
+cmchar "The letter f";
+beginchar("f",5.5u#,asc_height#,0);
+italcorr asc_height#*slant+if serifs:flare#-.25u# else: 1.25u# fi;
+adjust_fit(stem_shift#,if monospace: .5u# else:-stem_shift# fi);
+pickup tiny.nib; pos1(stem',0); lft x1l=hround(2.5u-.5stem');
+pickup fine.nib; numeric bulb_diam;
+if serifs: bulb_diam=hround .8[stem,flare];
+ pos2(bulb_diam,0); y2+.5bulb_diam=.9[x_height,h+oo];
+ if monospace: rt x2r=hround(w-.5u)+1 else: lft x2l=hround(w-.75u+.5) fi;
+else: pos2(5/7[vair,flare],90); top y2r=h;
+ rt x2=hround(if monospace:w-.5u else:w+.75u fi); fi
+f_stroke(1,2,a,b,c,jut,if not monospace:1.25fi\\ jut); % stem, terminal, serif
+pickup crisp.nib; top y3r=top y4r=x_height; lft x3=hround .5u-1;
+pos3(bar,90); pos4(bar,90);
+rt x4=hround(w-if monospace:.75u+1 else:1/3u fi);
+filldraw stroke z3e--z4e; % bar
+penlabels(1,2,3,4); endchar;
+
+iff not variant_g: cmchar "The letter g";
+beginchar("g",9u#,x_height#,desc_depth#);
+italcorr x_height#*slant+.25u#;
+adjust_fit(0,0);
+numeric light_vair,light_curve,loop_top,loop_side;
+light_vair=Vround(.5[thin_join,vair]+vair_corr);
+light_curve=max(fine.breadth,hround(curve-3stem_corr));
+loop_top=Vround .77[vair,fudged.stem];
+loop_side=hround .64[vair,fudged.stem];
+pickup fine.nib; pos1(light_vair,90);
+pos2(light_curve,180); pos3(light_vair,270);
+pos4(light_curve,360); pos11(loop_top,90);
+y11r=good.y(y11r+.15bar_height-y11); x1=x3=.5[x2,x4]; y2=y4=.5[y1,y3];
+lft x2r=hround(1.75u-.5light_curve); rt x4r=hround(w-2.75u+.5light_curve);
+top y1r=h+oo; y3r=good.y(y3r+.27[top y11r,bot y1l]-y3);
+filldraw stroke pulled_arc.e(1,2) & pulled_arc.e(2,3); % left half of bowl
+filldraw stroke pulled_arc.e(3,4) & pulled_arc.e(4,1); % right half of bowl
+x0=superness[x1r,x4r]; y0=superness[y4r,y1r]; % NE point on the super bowl
+x8'=superness[x3r,x2r]; y8'=superness[y2r,y3r]; % SW point on the super bowl
+x8''=superness[x3,x2]; y8''=superness[y2,y3];
+pos0(thin_join,angle(z0-z8')+90);
+pos8(thin_join,angle(z0-z8')-90); z8=.618[z8',z8''];
+if serifs: pos5(vair,90);
+ pos6(hair,0); pos7(.5[hair,flare],0); x5=.75[x0,x6]; top y5r=h+o;
+ rt x6r=hround(w-.25u); y6+(.5[hair,flare])/2=.95[bar_height,h]+oo;
+ filldraw stroke z0e..{right}z5e; bulb(5,6,7); % ear
+else: pos5(vair',100); top y5r=h+oo;
+ rt x5l=hround(w-.25u); y5l:=good.y y5l;
+ filldraw z0l{z5-z0}..z5l--z5r{left}..{curl 1}z0r--cycle; fi % ear
+pos10(loop_top,90); x10=x8+.75u; y10=y11;
+pos12(loop_side,0); pos13(light_vair,-90);
+pos14(loop_side,-180); pos10'(.5[thin_join,vair],-270);
+rt x12r=hround max(w-1.25u+.5loop_side,w-.5u); y12=y14=.5[y11,y13];
+x11=x13=max(.5w,x10+eps); bot y13r=-d-oo-1; x14=w-x12; z10'l=z10l;
+filldraw stroke z8e{z8-z0}..z10e---z11e; % link
+filldraw stroke {{interim superness:=hein_super; super_arc.e(11,12)}}
+ & super_arc.e(12,13) & super_arc.e(13,14) & super_arc.e(14,10'); % loop
+penlabels(0,1,2,3,4,5,6,7,8,10,11,12,13,14); labels(8',8''); endchar;
+
+iff variant_g: cmchar "Variant letter g";
+beginchar("g",10u#+serif_fit#,x_height#,desc_depth#);
+italcorr x_height#*slant-serif_fit#+.5stem#-2u# if serifs:+.5u# fi;
+adjust_fit(0,serif_fit# if serifs: -.5u# fi);
+pickup tiny.nib; pos1(stem',0); pos2(stem,0);
+pos0'(stem',0); pos0(stem,0); z0r=z0'r; x0'=x1; x0=x2;
+rt x1r=hround(w-2.5u+.5stem');
+numeric edge; edge=lft x2l;
+path edge_path; edge_path=(edge,h)--(edge,0);
+pickup fine.nib; pos3(if hefty:thin_join else: hair fi,0);
+pos4(vair,90); pos5(curve,180); pos6(vair,270); penpos7(x3r-x3l,360);
+lft x3l=min(lft x3l-(rt x3r-tiny.rt x2r),2/3[lft x2,edge]); y3=bar_height;
+x4l=.5(w-serif_fit)-.3u; top y4r=x_height+oo;
+lft x5r=hround max(1.35u-.5curve,.6u); y5=.5x_height;
+x6l=x4l-.2u; bot y6r=vround 1/3vair;
+lft x7l=edge; y7=min(y3,y6+y4-y3+.6vair);
+(x,y4r)=whatever[z3l,z4l]; x4r:=max(x,.5[x5r,x4]);
+(x',y6r)=whatever[z7l,z6l]; x6r:=max(x',.5[x5r,x6]);
+filldraw stroke z3e{up}...{left}z4e&super_arc.e(4,5)
+ &super_arc.e(5,6)&z6e{right}...{up}z7e; % bowl
+y1=ypart(edge_path intersectionpoint(z3l{up}...{left}z4l));
+y0=ypart(edge_path intersectionpoint(z7l{down}...{left}z6l));
+pickup tiny.nib; bot y2=if serifs: -.25d else: 0 fi;
+filldraw stroke z1e--z0'e--z0e--z2e; % stem
+pickup crisp.nib;
+pos8(hround(hair-stem_corr),0); pos7'(stem',0);
+z7'=z1; x8r=x7'r; top y8=h+oo;
+filldraw stroke z7'e--z8e; % point
+if serifs: pickup tiny.nib;
+ pos9(vair,-90); x9=.5[x2,x10]; bot y9r=-d-o-1;
+ pos10(hair,-180); lft x10r=hround u; y10=-.75d+.5flare;
+ pos11(flare,-180); z11r=z10r;
+ bulb(9,10,11); filldraw stroke super_arc.e(2,9); % tail
+else: pickup fine.nib; pos2'(stem,0); z2'=z2;
+ z2''r=z2'r; z2''=z2'; z2''l=(x2'l,0);
+ pos9(vair,-90); x9=4.5u; bot y9r=-d-o-1;
+ pos10(.5[vair,flare],-90); lft x10=hround 1.25u;
+ y10r=good.y -5/6d; y10l:=good.y y10l;
+ filldraw stroke z2'e..z2''e&super_arc.e(2'',9)
+ & term.e(9,10,left,.9,4); fi % tail
+penlabels(0,1,2,3,4,5,6,7,8,9,10,11); endchar;
+
+cmchar "The letter h";
+beginchar("h",10u#,asc_height#,0);
+italcorr .5[bar_height#,x_height#]*slant-serif_fit#+.5stem#-2u#;
+adjust_fit(serif_fit#+stem_shift#,serif_fit#-stem_shift#);
+pickup tiny.nib; pos1(stem,0); pos2(stem,0);
+pos1'(stem',0); pos2'(stem',0); pos3(stem,0);
+lft x1l=hround(2.5u-.5stem); x1l=x1'l=x2l=x2'l; x3=w-x1;
+top y1=h; bot y2=0; y1=y1'; y2=y2';
+filldraw stroke z1'e--z2'e; % left stem
+h_stroke(2,a,3,4); % arch and right stem
+if serifs: sloped_serif.l(1',2',b,1/3,jut,serif_drop); % upper left serif
+ numeric inner_jut; pickup tiny.nib;
+ if rt x2r+jut+.5u+1<=lft x4l-jut: inner_jut=jut;
+ else: rt x2r+jut+.5u+1=lft x4l-inner_jut; fi
+ dish_serif(2,1,c,1/3,jut,d,1/3,jut); % lower left serif
+ dish_serif(4,3,e,1/3,inner_jut,f,1/3,jut); fi % lower right serif
+penlabels(1,2,3,4); endchar;
+
+cmchar "The letter i";
+numeric dot_diam#; dot_diam#=max(dot_size#,cap_curve#);
+beginchar("i",5u#,min(asc_height#,10/7x_height#+.5dot_diam#),0);
+define_whole_blacker_pixels(dot_diam);
+italcorr h#*slant-serif_fit# + .5dot_diam# -2u#;
+adjust_fit(serif_fit#+stem_shift# if monospace:+.25u#fi,serif_fit#-stem_shift#);
+pickup tiny.nib; pos1(stem',0); pos2(stem',0);
+if odd(w-stem'): change_width; fi
+lft x1l=hround(.5w-.5stem'); x1=x2;
+top y1=x_height if serifs: +min(oo,serif_drop) fi; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+pos3(dot_diam,0); pos4(dot_diam,90);
+if serifs: x3r=max(x1r,x1+.5(dot_diam-tiny)-.2jut) else: x3=x1-.5 fi;
+top y4r=h+1;
+if bot y4l-top y1<slab: y4l:=min(y4r-eps,y1+tiny+slab); fi
+x3=x4; y3=.5[y4l,y4r]; dot(3,4); % dot
+if serifs: sloped_serif.l(1,2,a,1/3,.95jut,serif_drop); % upper serif
+ dish_serif(2,1,b,1/3,jut,c,1/3,.9jut); fi % lower serif
+penlabels(1,2,3,4); endchar;
+
+cmchar "The letter j";
+numeric dot_diam#; dot_diam#=max(dot_size#,cap_curve#);
+beginchar("j",5.5u#,min(asc_height#,10/7x_height#+.5dot_diam#),desc_depth#);
+define_whole_blacker_pixels(dot_diam);
+italcorr h#*slant-serif_fit#+.5stem#-2u#;
+adjust_fit(serif_fit#+2stem_shift# if monospace:+\\.5u# fi,
+ serif_fit#-2stem_shift# if monospace:-.5u# fi);
+pickup tiny.nib; pos1(stem',0); pos2(stem',0);
+rt x1r=hround(.5w+.25u+.5stem'); x1=x2;
+top y1=x_height if serifs: +min(oo,serif_drop) fi; bot y2=-1/3d;
+filldraw stroke z1e--z2e; % stem
+pos3(dot_diam,0); pos4(dot_diam,90);
+x3r=x1r; top y4r=h+1;
+if bot y4l-top y1<slab: y4l:=min(y4r-eps,y1+tiny+slab); fi
+x3=x4; y3=.5[y4l,y4r]; dot(3,4); % dot
+if serifs: sloped_serif.l(1,2,a,1/3,1.1jut,serif_drop); % upper serif
+ pickup tiny.nib; pos5(vair,-90); pos6(hair,-180); pos7(flare,-180);
+ x5=.5[x2,x6r]; bot y5r=-d-oo; y6-.5flare=-.88d;
+ if monospace: lft x6r=0 else: z6r=z7r; rt x7l=floor .75u fi;
+ (x,y5r)=whatever[z5l,z2l]; x5r:=max(x,.5[x6r,x5]);
+ filldraw stroke z2e{down}...z5e{left}; bulb(5,6,7); % arc and bulb
+else: pickup fine.nib; pos2'(stem',0); z2'=z2;
+ pos6(.2[vair,stem'],-90); pos7(vair,-90);
+ lft x7r=hround -.75u; bot y7r=vround 5/6(-d-oo);
+ (x,y7l)=whatever[z7r,z3]; x7l:=x;
+ z5r=z2'r; (x2'l,y5l)=whatever[z7l,z5r]; x5l=x2'l; y5=y5r;
+ x6r=.5[x7r,x5r]; x6l:=.5[x7l,x5l]; bot y6r=-d-oo;
+ filldraw stroke z2'e..{down}z5e & super_arc.e(5,6)
+ & z6e{left}..z7e; fi % arc and terminal
+penlabels(1,2,3,4,5,6,7); endchar;
+
+cmchar "The letter k";
+beginchar("k",9.5u#,asc_height#,0);
+italcorr x_height#*slant-.2u#;
+adjust_fit(serif_fit#,serif_fit#); pickup tiny.nib;
+numeric right_jut,stem[],alpha[];
+stem1=max(tiny.breadth,hround(fudged.stem-stem_corr));
+stem2=max(tiny.breadth,hround(fudged.stem-2stem_corr));
+stem3=max(tiny.breadth,hround(fudged.hair if hefty:-\\4stem_corr fi));
+stem4=max(tiny.breadth,hround(fudged.stem-3stem_corr));
+if serifs: right_jut=.6jut; else: right_jut=.4tiny; fi
+pos1(stem1,0); pos2(stem2,0); top y1=h; bot y2=0;
+lft x1l=lft x2l=hround(2.5u-.5stem1);
+top y3=x_height; rt x3r=hround(r-letter_fit-.7u-right_jut)+eps;
+bot y6=0; rt x6r=hround(r-letter_fit-.3u-right_jut)+eps;
+x4=x11=x1; y4=.7bar_height; y11=y3;
+alpha1=diag_ratio(1,.5(stem3-tiny),y3-y4,x3r-x4);
+alpha2=diag_ratio(1,.5(stem4-tiny),y11-y6,x6r-x1);
+penpos3(alpha1*(stem3-tiny),0); penpos4(whatever,-90);
+z5=.5[z5l,z5r]; penpos6(alpha2*(stem4-tiny),0);
+forsuffixes $=l,r: y3'$=x_height; y6'$=0; z4$=z3'$+whatever*(z3-z4);
+ z5$=z6'$+whatever*(z11-z6)=whatever[z3,z4]; endfor
+z3'r=z3r+penoffset z3-z4 of currentpen+whatever*(z3-z4);
+% we have also |z3'l=z3l+penoffset z4-z3 of currentpen+whatever*(z3-z4)|;\]
+z6'r=z6r+penoffset z11-z6 of currentpen+whatever*(z11-z6);
+z6'l=z6l+penoffset z6-z11 of currentpen+whatever*(z11-z6);
+fill z4r--diag_end(4r,3'r,1,.5,3'l,4l)--z4l--cycle; % upper diagonal
+fill z5l--diag_end(5l,6'l,.5,1,6'r,5r)--z5r--cycle; % lower diagonal
+pos0(stem1,0); pos0'(stem2,0); y0=y0'; x0=x1; x0'=x2;
+rt z0r=whatever[z3,z4]; filldraw stroke z1e..z0e--z0'e..z2e; % stem
+if serifs: numeric inner_jut;
+ if rt x2r+jut+.5u+1<=lft x6l-jut: inner_jut=jut;
+ else: rt x2r+inner_jut+.5u+1=lft x6l-inner_jut; fi
+ sloped_serif.l(1,0,a,1/3,jut,serif_drop); % upper stem serif
+ dish_serif(2,0',b,1/3,jut,c,1/3,inner_jut); % lower stem serif
+ dish_serif(3,4,d,2/3,1.4jut,e,1/2,right_jut)(dark); % upper diagonal serif
+ dish_serif(6,5,f,1/2,inner_jut,g,1/3,right_jut)(dark);fi % lower diagonal serif
+penlabels(0,1,2,3,4,5,6,11); endchar;
+
+cmchar "The letter l";
+beginchar("l",5u#,asc_height#,0); l_width#:=5u#+2serif_fit#;
+italcorr asc_height#*slant-serif_fit#+.5stem#-2u#;
+adjust_fit(serif_fit#+stem_shift#,serif_fit#-stem_shift#);
+pickup tiny.nib; pos1(stem',0); pos2(stem',0);
+if odd(w-stem'): change_width; fi
+lft x1l=hround(.5w-.5stem'); x1=x2; top y1=h; bot y2=0;
+filldraw stroke z1e--z2e; % stem
+if serifs: sloped_serif.l(1,2,a,1/3,jut,serif_drop); % upper serif
+ dish_serif(2,1,b,1/3,jut,c,1/3,jut); fi % lower serif
+penlabels(1,2); endchar;
+
+cmchar "The letter m";
+beginchar("m",15u#,x_height#,0);
+italcorr .5[bar_height#,x_height#]*slant-serif_fit#+.5stem#-2u#;
+adjust_fit(serif_fit#+stem_shift#,serif_fit#-stem_shift#);
+numeric shaved_stem; shaved_stem=hround(mfudged.stem-2stem_corr);
+pickup tiny.nib; pos1(mfudged.stem,0); pos2(mfudged.stem,0);
+pos1'(shaved_stem,0); pos2'(shaved_stem,0);
+pos3(mfudged.stem,0); pos5(mfudged.stem,0);
+lft x1l=hround(2.5u-.5stem); x1l=x1'l=x2l=x2'l;
+lft x3l=hround(.5w-.5stem); x5-x3=x3-x1;
+if not monospace: r:=hround(x5+x1)-l; fi % change width for better fit
+top y1=h+min(oo,serif_drop); bot y2=0; y1=y1'; y2=y2';
+filldraw stroke z1'e--z2'e; % left stem
+h_stroke(2,a,3,4); % left arch and middle stem
+h_stroke(4,b,5,6); % right arch and right stem
+if serifs: sloped_serif.l(1',2',c,1/3,jut,serif_drop); % upper left serif
+ numeric inner_jut; pickup tiny.nib;
+ if rt x2r+jut+.5u+1<=lft x4l-jut: inner_jut=jut;
+ else: rt x2r+jut+.5u+1=lft x4l-inner_jut; fi
+ dish_serif(2,1,d,1/3,jut,e,1/3,jut); % lower left serif
+ dish_serif(4,3,f,1/3,inner_jut,g,1/3,jut); % lower middle serif
+ dish_serif(6,5,h,1/3,inner_jut,i,1/3,jut); fi % lower right serif
+penlabels(1,2,3,4,5,6); endchar;
+
+cmchar "The letter n";
+beginchar("n",10u#,x_height#,0);
+italcorr .5[bar_height#,x_height#]*slant-serif_fit#+.5stem#-2u#;
+adjust_fit(serif_fit#+stem_shift#,serif_fit#-stem_shift#);
+pickup tiny.nib; pos1(stem,0); pos2(stem,0);
+numeric shaved_stem; shaved_stem=hround(stem-2stem_corr);
+pos1'(shaved_stem,0); pos2'(shaved_stem,0); pos3(stem,0);
+lft x1l=hround(2.5u-.5stem); x1l=x1'l=x2l=x2'l; x3=w-x1;
+top y1=h+min(oo,serif_drop); bot y2=0; y1=y1'; y2=y2';
+filldraw stroke z1'e--z2'e; % left stem
+h_stroke(2,a,3,4); % arch and right stem
+if serifs: sloped_serif.l(1',2',b,1/3,jut,serif_drop); % upper left serif
+ numeric inner_jut; pickup tiny.nib;
+ if rt x2r+jut+.5u+1<=lft x4l-jut: inner_jut=jut;
+ else: rt x2r+jut+.5u+1=lft x4l-inner_jut; fi
+ dish_serif(2,1,c,1/3,jut,d,1/3,jut); % lower left serif
+ dish_serif(4,3,e,1/3,inner_jut,f,1/3,jut); fi % lower right serif
+penlabels(1,2,3,4); endchar;
+
+cmchar "The letter o";
+beginchar("o",9u#,x_height#,0);
+italcorr .7x_height#*slant;
+adjust_fit(if monospace: .5u#,.5u# else: 0,0 fi);
+penpos1(vair,90); penpos3(vair',-90);
+penpos2(curve,180); penpos4(curve,0);
+x2r=hround max(.5u,1.25u-.5curve);
+x4r=w-x2r; x1=x3=.5w; y1r=h+vround 1.5oo; y3r=-oo;
+y2=y4=.5h-vair_corr; y2l:=y4l:=.52h;
+penstroke pulled_arc.e(1,2) & pulled_arc.e(2,3)
+ & pulled_arc.e(3,4) & pulled_arc.e(4,1) & cycle; % bowl
+penlabels(1,2,3,4); endchar;
+
+cmchar "The letter p";
+beginchar("p",10u#+serif_fit#,x_height#,desc_depth#);
+italcorr .5x_height#*slant+min(.5curve#-.85u#,-.1u#);
+adjust_fit(serif_fit#,0);
+pickup tiny.nib; pos1(stem',0); pos2(stem,0);
+pos0'(stem',0); pos0(stem,0); z0l=z0'l; x0'=x1; x0=x2;
+lft x1l=hround(2.5u-.5stem'); top y1=h if serifs: +min(oo,serif_drop) fi;
+numeric edge; edge=rt x2r;
+pickup fine.nib; pos3(if hefty:thin_join else: hair fi,180);
+pos4(vair',90); pos5(curve,0); pos6(vair,-90); penpos7(x3l-x3r,-180);
+rt x3l=max(rt x3l-(lft x3r-tiny.lft x2l), 1/3[rt x2,edge]);
+y3=1/8[bar_height,x_height];
+x4l=w-.5(w-serif_fit)+.5u; top y4r=x_height+oo;
+rt x5r=hround min(w-1.35u+.5curve,w-.6u); y5=.5x_height;
+x6l=x4l-.2u; bot y6r=-oo;
+x7=x3; y7=min(y3,y6+y4-y3+.6vair);
+(x,y4r)=whatever[z3l,z4l]; x4r:=min(x,.5[x5r,x4]);
+(x',y6r)=whatever[z7l,z6l]; x6r:=min(x',.5[x5r,x6]);
+filldraw stroke z3e{up}...{right}z4e&super_arc.e(4,5)
+ &super_arc.e(5,6)&z6e{left}...{up}z7e; % bowl
+y0=ypart(((edge,h)--(edge,0))intersectionpoint(z3l{up}...{right}z4l));
+pickup tiny.nib; bot y2=-d;
+filldraw stroke z1e--z0'e--z0e--z2e; % stem
+pickup crisp.nib; pos8(hair,0); pos7'(stem,0);
+z7'=z2; x8l=x7'l; bot y8=0;
+filldraw stroke z7'e--z8e; % point
+if serifs: sloped_serif.l(1,0',a,1/3,jut,serif_drop); % upper serif
+ dish_serif(2,0,b,1/3,jut,c,1/3,jut); fi % lower serif
+penlabels(0,1,2,3,4,5,6,7,8); endchar;
+
+cmchar "The letter q";
+beginchar("q",10u#+serif_fit#,x_height#,desc_depth#);
+italcorr x_height#*slant-serif_fit#+.5stem#-2u# if serifs:+.5u# fi;
+adjust_fit(0,serif_fit# if serifs: -.5u# fi);
+pickup tiny.nib; pos1(stem',0); pos2(stem,0);
+pos0'(stem',0); pos0(stem,0); z0r=z0'r; x0'=x1; x0=x2;
+rt x1r=hround(w-2.5u+.5stem');
+numeric edge; edge=lft x2l;
+pickup fine.nib; pos3(if hefty:thin_join else: hair fi,0);
+pos4(vair',90); pos5(curve,180); pos6(vair,270); penpos7(x3r-x3l,360);
+lft x3l=min(lft x3l-(rt x3r-tiny.rt x2r),2/3[lft x2,edge]); y3=bar_height;
+x4l=.5(w-serif_fit)-.3u; top y4r=x_height+oo;
+lft x5r=hround max(1.35u-.5curve,.6u); y5=.5x_height;
+x6l=x4l-.2u; bot y6r=-oo; y7=min(y3,y6+y4-y3+.6vair);
+lft x7l=min(lft x7l-(rt x7r-tiny.rt x2r),1/3[lft x2,edge]);
+(x,y4r)=whatever[z3l,z4l]; x4r:=max(x,.5[x5r,x4]);
+(x',y6r)=whatever[z7l,z6l]; x6r:=max(x',.5[x5r,x6]);
+filldraw stroke z3e{up}...{left}z4e&super_arc.e(4,5)
+ &super_arc.e(5,6)&z6e{right}...{up}z7e; % bowl
+y1=ypart(((edge,h)--(edge,0))intersectionpoint(z3l{up}...{left}z4l));
+y0=ypart(((edge,h)--(edge,0))intersectionpoint(z6l{right}...{up}z7l));
+pickup tiny.nib; bot y2=-d;
+filldraw stroke z1e--z0'e--z0e--z2e; % stem
+pickup crisp.nib;
+pos8(hround(hair-stem_corr),0); pos7'(stem',0);
+z7'=z1; x8r=x7'r; top y8=h+oo;
+filldraw stroke z7'e--z8e; % point
+if serifs: dish_serif(2,0,b,1/3,jut,c,1/3,jut); fi % lower serif
+penlabels(0,1,2,3,4,5,6,7,8); endchar;
+
+cmchar "The letter r";
+numeric r_flare#; r_flare#=.75[if serifs: stem# else: vair# fi,flare#];
+define_whole_blacker_pixels(r_flare);
+beginchar("r",if serifs:max(7u#,5.5u#+r_flare#) else:6.5u# fi,x_height#,0);
+italcorr x_height#*slant if not serifs: +.25u# fi;
+adjust_fit(serif_fit#,0);
+pickup fine.nib; top y4r=h+oo;
+if serifs: pos4(vair,90); pos5(hair,0);
+ x4=w-max(1.75u,.25u+r_flare);
+ rt x5r=hround(w-.5u+.5); y5+.5r_flare=.9[bar_height,h]+oo;
+ pos6(r_flare,0); bulb(4,5,6); % bulb
+else: pos4(r_flare,90); rt x4=hround(w-.25u); fi
+pos3(thin_join,180); rt x3l=hround(2.5u-.5stem')+stem'; top y3=bar_height;
+filldraw stroke z3e{up}...{right}z4e; % arc
+pickup tiny.nib; pos0(stem',0); pos2(stem',0);
+pos1(hround(stem-3stem_corr),0); top y1=h+min(oo,serif_drop);
+pos0'(hround(stem-3stem_corr),0); y0=y0'=y3; x1l=x0l=x0'l=x2l;
+lft x1l=hround(2.5u-.5stem'); bot y2=0;
+filldraw stroke z1e--z0'e--z0e--z2e; % stem
+if serifs: sloped_serif.l(1,0',a,1/3,jut,serif_drop); % upper serif
+ dish_serif(2,0,b,1/3,jut,c,1/3,1.25jut); fi % lower serif
+penlabels(1,2,3,4,5,6); endchar;
+
+cmchar "The letter s";
+beginchar("s",7.1u#,x_height#,0);
+italcorr x_height#*slant-if serifs:.55u# else:.3u# fi;
+adjust_fit(if monospace: .5u#,.4u# else: 0,if serifs:0 else:-.2u# fi fi);
+numeric theta; theta=90-angle(40u,h); slope:=-h/40u; % angle at middle
+numeric s_slab; s_slab=if serifs:vair else:Vround .1[vair,stem] fi;
+numeric ess'; ess'=max(fine.breadth,ess);
+pickup fine.nib; pos2(max(fine.breadth,s_slab-vround vair_corr),-100);
+pos0(ess',theta); pos7(s_slab,-90); x2l=x0=x7=.5w;
+top y2l=h+vround 1.5oo; bot y7r=-oo;
+y0-.5ess'=y7l+if serifs:.54 else: .52 fi\\(y2r-y7l-ess');
+lft x3l=hround .6u; rt x6r=hround(w-.6u);
+x3r-x3l=x6r-x6l=hround .5[s_slab,ess']-fine;
+ellipse_set(2l,3l,4l,0l); ellipse_set(2r,3r,4r,0r); y3=y3r;
+ellipse_set(7l,6l,5l,0l); ellipse_set(7r,6r,5r,0r); y6=y6r;
+interim superness:=more_super;
+filldraw stroke super_arc.e(2,3) & z3e{down}
+ ..z4e---z5e..z6e{down} & super_arc.e(6,7); % main stroke
+if serifs: pos1(hair,180); pos8(hair,180);
+ rt x1l=hround(w-1.05u); lft x8r=hround .6u;
+ bot y1=min(bot y2r,vround 1/5[top y5r,h]);
+ top y8=max(top y7l,vround 5/6 bot y4l);
+ filldraw stroke z1e{up}....{left}z2e; % upper arc
+ filldraw stroke z7e{left}....{x8-x7,5(y8-y7)}z8e; % lower arc
+ path upper_arc, lower_arc;
+ upper_arc=z1{up}....{left}z2; lower_arc=z7{left}....{x8-x7,5(y8-y7)}z8;
+ pos10(.3[fine.breadth,cap_hair],0); pos9(.3[fine.breadth,cap_hair],0);
+ x10r=x1l; top y10=top y2l; x9l=x8r; bot y9=bot y7r;
+ x1l-x1'=x8'-x8r=1.6cap_curve-fine; y1'=y1; y8'=y8;
+ numeric t; t=xpart(upper_arc intersectiontimes(z10l--z1'));
+ filldraw z1l--z10r--z10l--subpath(t,0) of upper_arc--cycle; % upper barb
+ t:=xpart(lower_arc intersectiontimes(z9r--z8'));
+ filldraw z8r--z9l--z9r--subpath(t,1) of lower_arc--cycle; % lower barb
+else: pos1(4/7[s_slab,flare],-100); pos8(flare,-100);
+ x1l=good.x(x1l+w-u-rt x1); lft x8r=hround .5u;
+ top y1l=vround(.93h+1.5oo); bot y8r=vround .1h-oo;
+ filldraw stroke term.e(2,1,right,.9,4); % upper arc and terminal
+ filldraw stroke term.e(7,8,left,1,4); fi % lower arc and terminal
+penlabels(0,1,1',2,3,4,5,6,7,8,8',9,10); endchar;
+
+cmchar "The letter t";
+beginchar("t",6u#+max(u#,.5stem#),
+ min(asc_height#,if hefty:9/7 else:10/7 fi\\ x_height#),0);
+italcorr x_height#*slant if serifs: -.9u# else: -.4u# fi;
+adjust_fit(0,if serifs: 0 else: -.5u# fi);
+numeric shaved_stem; shaved_stem=hround(stem if hefty:-\\2stem_corr fi);
+pickup fine.nib; pos2(shaved_stem,180);pos3(shaved_stem,180);
+lft x2r=lft x3r=hround(2.5u-.5shaved_stem);
+y2=y8; y3=max(.5bar_height,2vair);
+pickup crisp.nib; pos8(bar,90);
+rt x8=hround(w-1.3u); top y8r=x_height; lft x7=hround 1/3u; y7l=y8l;
+if hefty: pos7(bar,90);
+ filldraw stroke z7e--z8e; % crossbar
+ pickup tiny.nib; pos1(hround(shaved_stem-stem_corr),0);
+ rt x1r=fine.rt x2l; top y1=h;
+ penpos2'(x1r-x1l,0); x2'=x1; y2'=y2;
+ filldraw stroke z1e--z2'e; % upper terminal
+else: pos7(vair,90); pos1(hair,0);
+ rt x1r=fine.rt x2l; top y1=h;
+ filldraw z1l{down}...{left}z7r--z7l--z8l
+ --z8r--(x1r,y8r)--z1r--cycle; fi % upper terminal and crossbar
+pickup fine.nib; interim superness:=more_super;
+pos4(vair',-90); bot y4r=-oo; rt x5r=hround(w-u);
+if serifs: pos5(hair,0); y5=y3; x4l=.5[x3l,x5l];
+ (x,y4r)=whatever[z4l,z5l]; x4r:=max(x,.5[x3r,x4]);
+ filldraw stroke z2e..super_arc.e(3,4)...{up}z5e; % stem and hook
+ pickup crisp.nib; pos6(hair,0); pos5'(hair,0);
+ x6=x5=x5'; top y6=max(vround .75bar_height,top y5); y5=y5';
+ filldraw stroke z5'e--z6e; % terminal
+else: pos5(vair,-75); top y5l=vround .2[top y4l,bar_height];
+ x5l:=good.x x5l; x4l=1/3[x3l,x5l]; x4r:=1/3[x3r,x5r]; y3l:=y3l+.2vair;
+ filldraw stroke z2e..super_arc.e(3,4); % stem and hook
+ path p; p=stroke z4e{right}..tension .9 and atleast 1..z5e; % terminal
+ if (xpart(z5l-precontrol 1 of p)<0) or (xpart(z5r-postcontrol 2 of p)<0):
+ filldraw stroke z4e{right}...{up}z5e;
+ else: filldraw p; fi fi;
+penlabels(1,2,3,4,5,6,7,8); endchar;
+
+cmchar "The letter u";
+beginchar("u",10u#,x_height#,0);
+italcorr x_height#*slant-serif_fit#+.5stem#-2u#;
+adjust_fit(serif_fit#+stem_shift#,serif_fit#-stem_shift#);
+numeric light_vair; light_vair=vair if hefty: -vround 2vair_corr fi;
+if light_vair<fine.breadth: light_vair:=fine.breadth; fi
+pickup tiny.nib; pos1(stem,0); pos2(stem,0);
+pos3(stem,0); pos4(stem',0);
+lft x1l=hround(2.5u-.5stem); x1=x2; x3=w-x1; x3r=x4r;
+if serifs: top y1=h+min(oo,serif_drop); bot y4=-min(oo,serif_drop);
+else: top y1=h; bot y4=0; fi
+pos0(stem,0); pos0'(stem',0); x0=x3; x0'=x4; y0=y0';
+penpos2'(stem-fine,-180); z2'=z2; y3=y1; y2=.5bar_height;
+penpos5(max(eps,light_vair-fine),-90); penpos6(thin_join-fine,0);
+y6=y0=2/3bar_height;
+filldraw stroke z1e--z2e; % left stem
+filldraw stroke z3e..z0e--z0'e..z4e; % right stem
+pickup fine.nib; bot y5r=-oo; x5l=.5w-.25u; lft x6l=tiny.lft x0l;
+(x,y5r)=whatever[z5l,z6l]; x5r:=max(x,.5[x5,x2'r]);
+filldraw stroke {{interim superness:=hein_super;
+ pulled_arc.e(2',5)}} & z5e{right}...{up}z6e; % arc
+if serifs: sloped_serif.l(1,2,a,1/3,jut,serif_drop); % upper left serif
+ sloped_serif.l(3,0,b,1/3,jut,serif_drop); % upper right serif
+ sloped_serif.r(4,0',c,1/3,jut,min(oo,serif_drop)); fi % lower right serif
+penlabels(1,2,3,4,5); labels(6); endchar;
+
+cmchar "The letter v";
+beginchar("v",if serifs: 9.5u# else:9u# fi,x_height#,0);
+italcorr x_height#*slant+.25u#;
+adjust_fit(serif_fit# if monospace:+\\.5u#,.5u#+ else:,fi\\ serif_fit#);
+numeric left_stem,right_stem,outer_jut,alpha;
+left_stem=fudged.stem-stem_corr;
+right_stem=min(fudged.hair if hefty:-2stem_corr fi,left_stem);
+outer_jut=.75jut; x1l=w-x4r=l+letter_fit+outer_jut+.25u; y1=y4=h;
+x2-x1=x4-x3; x2l+apex_corr=x3l; y2=y3=-apex_oo;
+alpha=diag_ratio(2,right_stem,y1-y2,x4r-x1l-apex_corr);
+penpos1(alpha*left_stem,0); penpos2(alpha*left_stem,0);
+penpos3(alpha*right_stem,0); penpos4(alpha*right_stem,0);
+z0=whatever[z1r,z2r]=whatever[z3l,z4l];
+if y0>notch_cut: y0:=notch_cut;
+ fill z0+.5right{up}...{z4-z3}diag_end(3l,4l,1,1,4r,3r)
+ --diag_end(4r,3r,1,1,2l,1l)--diag_end(2l,1l,1,1,1r,2r){z2-z1}
+ ...{down}z0+.5left--cycle; % left and right diagonals
+else: fill z0--diag_end(0,4l,1,1,4r,3r)--diag_end(4r,3r,1,1,2l,1l)
+ --diag_end(2l,1l,1,1,1r,0)--cycle; fi % left and right diagonals
+if serifs: numeric inner_jut; pickup tiny.nib;
+ prime_points_inside(1,2); prime_points_inside(4,3);
+ if rt x1'r+jut+.5u+1<=lft x4'l-jut: inner_jut=jut;
+ else: rt x1'r+inner_jut+.5u+1=lft x4'l-inner_jut; fi
+ dish_serif(1',2,a,1/3,outer_jut,b,1/2,inner_jut); % left serif
+ dish_serif(4',3,c,.6,inner_jut,d,1/2,outer_jut)(dark); fi % right serif
+penlabels(0,1,2,3,4); endchar;
+
+cmchar "The letter w";
+beginchar("w",13u#,x_height#,0);
+italcorr x_height#*slant+.25u#;
+adjust_fit(serif_fit#,serif_fit#);
+numeric stem[],outer_jut,upper_notch,alpha,mid_corr;
+outer_jut=.7jut; x1l=w-x8r=l+letter_fit+outer_jut+.25u;
+stem1=fudged.stem-stem_corr;
+stem4=min(fudged.hair if hefty:-2stem_corr fi,stem1);
+stem2=if hefty:.1[vair,stem4] else: stem4 fi;
+stem3=max(stem2,stem1-3stem_corr);
+x2-x1=x4-x3=x6-x5=x8-x7; x2l+apex_corr=x3l; x6l+apex_corr=x7l;
+y1=y8=h; y2=y3=y6=y7=-apex_oo;
+y4=y5=if monospace: vround .6 fi\\ h; upper_notch=y4-notch_cut;
+mid_corr=if monospace or hefty:-.3apex_corr else: .5jut fi;
+alpha=diag_ratio(4,stem2-stem3+stem4,y1-y2,x8r-x1l+mid_corr-2apex_corr);
+penpos1(alpha*stem1,0); penpos2(alpha*stem1,0);
+penpos3(alpha*stem2,0); penpos4(alpha*stem2,0);
+penpos5(alpha*stem3,0); penpos6(alpha*stem3,0);
+penpos7(alpha*stem4,0); penpos8(alpha*stem4,0);
+x4l-x1l=floor(x4l-x1l+.5(x5r+mid_corr-x4r)); % |x5r| $\approx$ |x4r+mid_corr|
+z23=whatever[z1r,z2r]=whatever[z3l,z4l];
+z45=whatever[z3r,z4r]=whatever[z5l,z6l];
+z67=whatever[z5r,z6r]=whatever[z7l,z8l];
+fill diag_end(1l,2l,1,1,3r,4r){z4-z3}
+ ...if y45<upper_notch:(x45,upper_notch)+.5left{up}
+ --(x45,upper_notch)+.5right{down} else: z45&z45 fi
+ ...{z6-z5}diag_end(5l,6l,1,1,7r,8r)--diag_end(7r,8r,1,1,8l,7l){z7-z8}
+ ...if y67>notch_cut:(x67,notch_cut)+.5right{down}
+ --(x67,notch_cut)+.5left{up} else: z67&z67 fi
+ ...{z5-z6}special_diag_end(6,5,4,3){z3-z4}
+ ...if y23>notch_cut:(x23,notch_cut)+.5right{down}
+ --(x23,notch_cut)+.5left{up} else: z23&z23 fi
+ ...{z1-z2}diag_end(2r,1r,1,1,1l,2l)--cycle; % diagonals
+if serifs: numeric inner_jut[]; pickup tiny.nib;
+ prime_points_inside(1,2); prime_points_inside(5,6); prime_points_inside(8,7);
+ if monospace: inner_jut1=inner_jut4=1.5jut;
+ elseif hefty: inner_jut1=inner_jut4=jut;
+ else: fill diag_end(6r,5r,1,1,5l,6l)--.5[z5l,z6l]
+ --.5[z5r,z6r]--cycle;% middle stem
+ inner_jut2=.7inner_jut1; inner_jut4=1.1inner_jut3;
+ if rt x1'r+jut+.5u+1<=lft x5'l-.7jut: inner_jut1=jut;
+ else: rt x1'r+inner_jut1+.5u+1=lft x5'l-inner_jut2; fi
+ if rt x5'r+jut+.5u+1<=lft x8'l-1.1jut: inner_jut3=jut;
+ else: rt x5'r+inner_jut3+.5u+1=lft x8'l-inner_jut4; fi
+ dish_serif(5',6,e,1/3,inner_jut2,f,1/2,inner_jut3); fi % middle serif
+ dish_serif(1',2,a,1/3,outer_jut,b,1/2,inner_jut1); % left serif
+ dish_serif(8',7,c,.6,inner_jut4,d,1/2,outer_jut)(dark); fi % right serif
+penlabels(0,1,2,3,4,5,6,7,8,23,45,67); endchar;
+
+cmchar "The letter x";
+beginchar("x",if serifs:9.5u# else:9u# fi,x_height#,0);
+italcorr x_height#*slant-.05u#;
+adjust_fit(serif_fit# if monospace:+\\.5u#,.5u#+ else:,fi\\ serif_fit#);
+numeric stem[],outer_jut,xjut,alpha[];
+stem1=fudged.stem-4stem_corr; stem2=min(fudged.hair,stem1);
+outer_jut=.75jut; xjut= if serifs: (stem1-stem2)/4 else: 0 fi;
+x1l=l+letter_fit+.1u+outer_jut; x2r=r-letter_fit-.3u-outer_jut-xjut;
+x3l=l+letter_fit+outer_jut+xjut; x4r=r-letter_fit-outer_jut;
+y1=y2=h; y3=y4=0;
+alpha1=diag_ratio(1,stem1,h,x4r-x1l);
+alpha2=diag_ratio(1,stem2,h,x2r-x3l);
+penpos1(alpha1*stem1,0); penpos2(alpha2*stem2,0);
+penpos3(alpha2*stem2,0); penpos4(alpha1*stem1,0);
+if hefty: z0=whatever[z1,z4]=whatever[z2,z3];
+ x12=x34=x0; y13=y24=y0;
+ z12=whatever[z2l,z3l]; z13=whatever[z2l,z3l];
+ z24=whatever[z2r,z3r]; z34=whatever[z2r,z3r];
+ forsuffixes $=13,24,34: z$'=.2[z$,z0]; endfor
+ fill diag_end(12,1r,.5,1,1l,13')--z13'--diag_end(13',3l,1,.5,3r,34')--z34'
+ --diag_end(34',4l,.5,1,4r,24')--z24'
+ --diag_end(24',2r,1,.5,2l,12)--z12--cycle; % diagonals
+else: fill diag_end(4r,1r,.5,1,1l,4l)
+ --diag_end(1l,4l,.5,1,4r,1r)--cycle; % left diagonal
+ fill diag_end(2l,3l,.5,1,3r,2r)
+ --diag_end(3r,2r,.5,1,2l,3l)--cycle; fi % right diagonal
+if serifs: numeric inner_jut[]; pickup tiny.nib;
+ prime_points_inside(1,4); prime_points_inside(2,3);
+ prime_points_inside(3,2); prime_points_inside(4,1);
+ if rt x1'r+jut+.5u+1<=lft x2'l-jut-xjut: inner_jut1=jut;
+ else: rt x1'r+inner_jut1+.5u+1=lft x2'l-inner_jut1-xjut; fi
+ if rt x3'r+jut+.5u+1<=lft x4'l-jut-xjut: inner_jut2=jut;
+ else: rt x3'r+inner_jut2+.5u+1=lft x4'l-inner_jut2-xjut; fi
+ dish_serif(1',4,a,1/3,outer_jut,b,2/3,inner_jut1); % upper left serif
+ dish_serif(4',1,c,2/3,inner_jut2,d,1/3,outer_jut); % lower right serif
+ dish_serif(2',3,e,2/3,inner_jut1+xjut,
+ f,1/2,outer_jut+xjut)(dark); % upper right serif
+ dish_serif(3',2,g,1/2,outer_jut+xjut,
+ h,2/3,inner_jut2+xjut)(dark); fi % lower left serif
+penlabels(0,1,2,3,4,12,13,24,34); endchar;
+
+cmchar "The letter y";
+beginchar("y",if serifs:9.5u# else:9u# fi,x_height#,desc_depth#);
+italcorr x_height#*slant+.25u#;
+adjust_fit(serif_fit# if monospace:+\\.5u#,.5u#+ else:,fi\\ serif_fit#);
+numeric left_stem,right_stem,bot_stem,bot_vair,outer_jut;
+left_stem=fudged.stem-stem_corr;
+right_stem=fudged.hair if hefty:-2stem_corr fi;
+bot_stem=fudged.hair if hefty:-8stem_corr fi;
+bot_vair=Vround(if serifs: vair else:.5[vair,bot_stem] fi);
+outer_jut=.75jut;
+x1l=w-x4r=l+letter_fit+outer_jut+.25u; y1=y4r=h; y2=y3=0; x2l=x3l;
+numeric alpha,alpha[]; x9=3u; y9=bot_vair-d-oo;
+alpha1=diag_ratio(2,bot_stem,y1-y3,x4r-x1l-apex_corr);
+alpha2=diag_ratio(1,bot_stem,y1-y9,x4r-x9);
+if alpha1<alpha2: x2l-x1l=x4r-x3r+apex_corr; alpha=alpha1;
+else: alpha=alpha2; z3l=whatever[z9,z4r-(alpha*bot_stem,0)]; fi
+penpos3(alpha*bot_stem,0); penpos4(alpha*right_stem,0);
+alpha3=(y1++(x2l-x1l))/y1;
+penpos1(alpha3*left_stem,0); penpos2(alpha3*left_stem,0);
+z0=whatever[z1r,z2r]=z4l+whatever*(z3r-z4r);
+if y0>notch_cut: y0:=notch_cut;
+ fill z0+.5right{up}...{z4r-z3r}diag_end(0,4l,1,1,4r,3r)
+ --z3r--z2l--diag_end(2l,1l,1,1,1r,2r){z2-z1}
+ ...{down}z0+.5left--cycle; % left and right diagonals
+else: fill z0--diag_end(0,4l,1,1,4r,3r)--z3r--z2l
+ --diag_end(2l,1l,1,1,1r,0)--cycle; fi % left and right diagonals
+penpos5(alpha*bot_stem,0); z5r=whatever[z3r,z4r]; y5-.5vair=-.5d;
+if serifs: numeric light_bulb; light_bulb=hround 7/8[hair,flare]; clearpen;
+ penpos6(vair,-90); penpos7(hair,-180); penpos8(light_bulb,-180);
+ x6=2u; y6r=-d-oo; y8-.5light_bulb=-.85d; x8r=hround .35u;
+ fill stroke z3e---z5e...{left}z6e; bulb(6,7,8); % arc and bulb
+ numeric inner_jut; pickup tiny.nib;
+ prime_points_inside(1,2); prime_points_inside(4,3);
+ if rt x1'r+jut+.5u+1<=lft x4'l-jut: inner_jut=jut;
+ else: rt x1'r+inner_jut+.5u+1=lft x4'l-inner_jut; fi
+ dish_serif(1',2,a,1/3,outer_jut,b,1/2,inner_jut); % left serif
+ dish_serif(4',3,c,.6,inner_jut,d,1/2,outer_jut)(dark); % right serif
+else: penpos6(bot_vair,-90); x6=2.5u; y6r=-d-oo;
+ fill stroke z3e---z5e...{left}z6e; % arc
+ pickup fine.nib; pos6'(bot_vair,-90); z6'=z6;
+ pos7(2/3[bot_vair,flare],-85);
+ lft x7l=hround u; bot y7r=vround-.96d-oo; y7l:=good.y y7l;
+ filldraw stroke term.e(6',7,left,1,4); fi % arc and terminal
+penlabels(0,1,2,3,4,5,6,7,8,9); endchar;
+
+cmchar "The letter z";
+beginchar("z",8u#,x_height#,0);
+italcorr x_height#*slant-.5serif_fit#-.3u#;
+adjust_fit(0,.5serif_fit#);
+numeric arm_thickness[],z_stem;
+if hefty: arm_thickness1=Vround(vair-vair_corr); arm_thickness2=vair;
+ z_stem=.6[vair,stem];
+else: arm_thickness1=vair; arm_thickness2=vair'; z_stem=.9[vair,stem]; fi
+pickup tiny.nib; rt x1r=rt x2r=hround(w-.8u); lft x3l=lft x4l=hround .5u;
+top y1=h; y2=min(y1,h-2/3arm_thickness1);
+bot y4=0; y3=max(y4,2/3arm_thickness2);
+numeric alpha; alpha=diag_ratio(1,z_stem-tiny,y2-y3,x2r-x3l-slant*(y2-y3));
+penpos1(alpha*(z_stem-tiny),0); penpos2(alpha*(z_stem-tiny),0);
+penpos3(alpha*(z_stem-tiny),0); penpos4(alpha*(z_stem-tiny),0);
+pair delta; delta=penoffset z3-z2 of currentpen;
+fill top lft z1l--z2l+delta---z3l+delta..lft z3l---lft z4l..bot z4l
+ ---bot rt z4r--z3r-delta---z2r-delta..rt z2r---rt z1r..top z1r
+ ---cycle; % diagonal
+pickup crisp.nib; pos5(arm_thickness1,90); pos6(hair,180);
+top y5r=h; x5=x1; lft x6r=hround .75u; y6=good.y(y5l-beak/1.4)-eps;
+arm(5,6,a,beak_darkness,-.4beak_jut); % upper arm and beak
+pos7(arm_thickness2,-90); pos8(hair,0);
+bot y7r=0; x7=x4; rt x8r=hround(w-.75u); y8=good.y(y7l+beak/1.2)+eps;
+arm(7,8,b,beak_darkness,.6beak_jut); % lower arm and beak
+penlabels(1,2,3,4,5,6,7,8); endchar;
+
+ % R O M A N L ends %
+
+
+font_x_height x_height#;
+if monospace: font_normal_space 9u#; % no stretching or shrinking
+ font_quad 18u#;
+ font_extra_space 9u#;
+else: font_normal_space 6u#+2letter_fit#;
+ font_normal_stretch 3u#; font_normal_shrink 2u#;
+ font_quad 18u#+4letter_fit#;
+ font_extra_space 2u#;
+ k#:=-.5u#; kk#:=-1.5u#; kkk#:=-2u#; % three degrees of kerning
+ ligtable "k": if serifs: "v": "a" kern -u#, fi\\"w": "e" kern k#,
+ "a" kern k#, "o" kern k#, "c" kern k#;
+ ligtable "P": "A" kern kk#,
+ "y": "o" kern k#, "e" kern k#, "a" kern k#, "." kern kk#, "," kern kk#;
+ ligtable "F": "V": "W": if serifs: "o" kern kk#, "e" kern kk#, "u" kern kk#,
+ "r" kern kk#, "a" kern kk#, "A" kern kkk#,
+ else: "o" kern k#, "e" kern k#, "u" kern k#,
+ "r" kern k#, "a" kern k#, "A" kern kk#, fi
+ "K": "X": "O" kern k#, "C" kern k#, "G" kern k#, "Q" kern k#;
+ ligtable "T": "y" kern if serifs: k# else: kk# fi,
+ "Y": "e" kern kk#, "o" kern kk#,
+ "r" kern kk#, "a" kern kk#, "A" kern kk#, "u" kern kk#;
+ ligtable "O": "D": "X" kern k#, "W" kern k#, "A" kern k#,
+ "V" kern k#, "Y" kern k#;
+ if serifs: ligtable "h": "m": "n":
+ "t" kern k#, "u" kern k#, "b" kern k#, "y" kern k#, "v" kern k#, "w" kern k#;
+ ligtable "c": "h" kern k#, "k" kern k#; fi
+ ligtable "o": "b": "p": "e" kern -k#, "o" kern -k#, "x" kern k#,
+ "d" kern -k#, "c" kern -k#, "q" kern -k#,
+ "a": if serifs: "v" kern k#, "j" kern u#, else: "r" kern k#, fi
+ "t": "y" kern k#,
+ "u": "w" kern k#;
+ ligtable "A": if serifs: "R": fi\\ "t" kern k#,
+ "C" kern k#, "O" kern k#, "G" kern k#, "U" kern k#, "Q" kern k#,
+ "L": "T" kern kk#, "Y" kern kk#, "V" kern kkk#, "W" kern kkk#;
+ ligtable "g": "j" kern -k#; % logjam
+ ligtable "I": "I" kern -k#; % Richard III
+fi;
+bye.
+
diff --git a/fonts/apl/cmapl10.tfm b/fonts/apl/cmapl10.tfm
new file mode 100644
index 0000000000..1cecac3c3f
--- /dev/null
+++ b/fonts/apl/cmapl10.tfm
Binary files differ
diff --git a/fonts/apl/convert.pas b/fonts/apl/convert.pas
new file mode 100644
index 0000000000..8a5b619505
--- /dev/null
+++ b/fonts/apl/convert.pas
@@ -0,0 +1,117 @@
+
+%============================================================================
+% C O N V E R T . P A S
+%============================================================================
+
+% This is a sample Turbo Pascal program for HeX-->Bin conversion useful
+% for a safe download of pixel files (Turbo Pascal 3.0)
+
+PROGRAM ASC_TO_BIN(Input,Output,Font_List_File);
+
+ TYPE
+
+ Byte = 0..255;
+ Name_Of_File = String[20];
+
+
+ VAR
+
+ Newfile:File Of Byte;
+ Textfile,Font_List_File:Text;
+ First_Hex,Second_Hex,Ch:Char;
+ One_Byte:Byte;
+ I:Integer;
+ Font_Name,File_Name,New_File_Name:Name_Of_File;
+
+
+PROCEDURE Banner;
+
+ Begin
+ Writeln('!=================================================!');
+ Writeln('! The text files to be converted must have been !');
+ Writeln('! originally obtained as follows: each byte is !');
+ Writeln('! replaced by two hexadecimals, the first of which!');
+ Writeln('! is Byte Div 16 and the second Byte Mod 16. The !');
+ Writeln('! names of files are supposed to be found in a !');
+ Writeln('! separate list file. !');
+ Writeln('!=================================================!');
+ End;
+
+
+FUNCTION Convert_Hex_To_Dec(X:Char):Integer;
+
+ Begin
+ If X In ['0'..'9'] Then Convert_Hex_To_Dec:=Ord(X)-48
+ Else Convert_Hex_To_Dec:=Ord(X)-55;
+ End;
+
+
+
+
+PROCEDURE Convert_File(Var File_Name,New_File_Name:Name_Of_File);
+
+VAR
+
+A,B,I:Integer;
+
+
+ Begin
+ Assign(Textfile,File_Name);
+ {$I-} Reset(Textfile) {$I+};
+ If IOresult=0 Then
+ Begin
+ Assign(Newfile,New_File_Name);
+ Rewrite(Newfile);
+ While Not Eof(Textfile) Do
+ Begin
+ While Not Eoln(Textfile) Do
+ Begin
+ Read(Textfile,First_Hex);
+ Read(Textfile,Second_Hex);
+ A:=Convert_Hex_To_Dec(First_Hex);
+ B:=Convert_Hex_To_Dec(Second_Hex);
+ One_Byte:=(16*A)+B;
+ If Eoln(Textfile) Then Readln(Textfile);
+ Write(Newfile,One_Byte);
+ End;
+ End;
+ For I:=0 To 30-Length(New_File_Name) Do Write('.');
+ Writeln(New_File_Name,' written');
+ Close(Textfile);
+ Close(Newfile);
+ End Else
+ Writeln('This File Not Found!');
+ End;
+
+ (*** M A I N P R O G R A M ***)
+BEGIN
+
+ Banner;
+ Writeln;
+ Writeln('Give The Name Of File Containing The List Of Pxl Files: ');
+ Readln(File_Name);
+ Assign(Font_List_File,File_Name);
+ {$I-} Reset(Font_List_File) {$I+};
+ If IOresult=0 Then
+ Begin
+ Writeln;
+ Writeln('... started converting ...');
+ Writeln;
+ While Not Eof(Font_List_File) Do
+ Begin
+ Font_Name:='';
+ While Not Eoln(Font_List_File) Do
+ Begin
+ Read(Font_List_File,Ch);
+ Font_Name:=Font_Name+Ch;
+ End;
+ Write(Font_Name);
+ New_File_Name:=Copy(Font_Name,1,Pos('.',Font_Name)-1)+'.bxl';
+ Readln(Font_List_File);
+ Convert_File(Font_Name,New_File_Name);
+ End;
+ Writeln;
+ Writeln('... conversion done ...');
+ End Else
+ Writeln('File List Not Found!');
+END.
diff --git a/fonts/apl/fontnotes b/fonts/apl/fontnotes
new file mode 100644
index 0000000000..967c6f33db
--- /dev/null
+++ b/fonts/apl/fontnotes
@@ -0,0 +1,97 @@
+
+
+ These files contain the necessary material for producing
+APL documents with TeX. It should be pointed out that as written
+in an article published in TUGboat, the system as such can be
+described as a straightforward solution to the problem of making
+nice documents containing APL code. Instead of trying to achieve
+a completed result, we tell the reader how to use existing MetaFont
+character descriptions as far as possible to provide an APL font
+of reasonably fine quality. Further development is left to the users.
+Combined with suitable TeX macros using Digital's mnemonics -- chosen
+because of the popularity of the interpreter among APL users
+(it is really the only one used at our site) -- the font can be used
+smoothly enough. Furthermore, if combined with an APL workspace
+providing functions for an automatic conversion of APL workspaces
+into TeX code, the system can be used to merge pre-existing
+APL code into documents without the pain of re-writing the code
+in Digital's 2-letter mnemonics.
+ To produce pixel files from the MetaFont file CMAPL10.MF,
+you have to run MetaFont in your local machine. By typing METAFONT
+you should get the prompt symbol '*'. It may be necessary to use
+the form
+
+ METAFONT\INPUT_DIRECTORY = XXXXXX
+
+where XXXXXX is the global name of the directory where the basic
+CMMF definitions can be found.
+The following discussion will then get MetaFont to produce a generic
+font file CMAPL10.360GF:
+
+ * \relax;
+ * \mode = imagen;
+ * \mag = 1.2;
+ * input cmapl10
+
+Here \mode = imagen was used to get a pixel file for a laserprinter
+with the resolution 200 times 200 pixels per square inch. It is
+possible that the definition of 'imagen' is different at your local
+site; in the case of error ask the person who installed your local
+MetaFont. Notice that \mag = 1.2 is needed in case you want to get
+magnified pixels. The final pixel (because of the resolution 200)
+files will then be named CMAPL10.1800PXL (or whatever you choose
+to call them). If you want to produce 'small' pixel files for example
+for a screen previewer, use \mag = xxx with an appropriate constant xxx.
+(You can check the form of characters obtained on a teletype terminal
+by using the program GFTYPE.) Finally, you get a pixel file from
+CMAPL10.xxxGF by running the program GF(TO)PXL.EXE, which should be
+found together with MetaFont.
+ Some people want to use their pixel files on a PC (the
+laserprinter is connected to a PC or for previewing purposes). In
+that case the pixel files must be downloaded from the host. We never
+use programs like Kermit for transferring the binary file but
+first convert it to hex form, load the file down as a text file and
+then convert it back. It is IMPORTANT to notice that pixel files in
+VAXes (say) are composed of 512 byte blocks. The pixel file itself
+is ended by the pixel_id, which is either 1001 (rasters are in word packed
+form) or 1002 (rasters are in byte packed form). Many programs running
+on PCs assume that the last 4 bytes of the pixel file really
+represent the pixel_id. Hence, the pixel files downloaded from the host
+should be CLEANed from garbage (the programs CONVERT and CLEAN are
+given for convenience and to fix the definition of what they should do).
+ MetaFont also produces the file CMAPL10.TFM containing the
+metric information of the characters in the font. These are needed
+by TeX, and they can be downloaded as such (at least if you are
+using Micro-TeX or PCTeX).
+
+ In order to use the mnemonics, the macros in APLSTYLE are
+needed. There are basically two ways of merging APL code. There are
+standard macros called VERBATIM, which enable the user to produce
+'typewriter-like' output. As APL is modelled on a typewriter style,
+too, it has been reasonable to extend VERBATIM to accept different
+typewriter-like fonts. The escape sequence \choosett enables you to
+choose the font you want to use. Thus, \choosett{tentt} swithces
+the standard font CMTT10 on, whereas \choosett{apl} chooses the font
+APL, defined in APLSTYLE by '\font\apl = cmapl10'. First, you can
+insert APL code into text lines. In this case you can call any
+APL symbol either by its 2-letter mnemonic (for example \BX produces the
+box symbol) if there is no symbol for it OR otherwise by its name
+surrounded by two @'s. (The @ character swithces into the current
+typewriter style.) Thus, @A_B@ produces 'A <-- B' in APL style, because
+'_' is the name of '<--' in Digital's mnemonics. Secondly, you can
+insert APL code in 'screenlike' mode. The code is to be delimited
+by the pair \begintt - \endtt. Example:
+
+\begintt
+ @DL Z_ZNPLUS N;@BXIO % Here '@' replaces '\' as the escape
+[1] @BXIO_0 % character
+[2] Z_N@AB(@ION)@SO.+@ION
+ @DL
+\endtt
+
+Please note that in this case the material between \begintt -- \endtt
+is considered by TeX as a vertical box that cannot be divided between
+pages. Thus, if you have a long APL function, it might produce
+a message of underfull vbox.
+
+
diff --git a/fonts/apl/ninesize.tex b/fonts/apl/ninesize.tex
new file mode 100644
index 0000000000..a0260f0799
--- /dev/null
+++ b/fonts/apl/ninesize.tex
@@ -0,0 +1,34 @@
+
+%=============================================================================
+% N I N E S I Z E . T E X (for convenience only)
+%=============================================================================
+%===============================================================
+% This is a TeX macro for switching to nine point fonts. Taken
+% from the TeXbook, pages 413 - 415. (For special cases only)
+%===============================================================
+%
+\font\ninerm=amr9
+\font\ninei=ammi9
+\font\ninesy=amsy9
+\font\ninebf=ambx9
+\font\ninett=amtt9
+\font\nineit=amti9
+\font\ninesl=amsl9
+%
+\skewchar\ninei='177
+\skewchar\ninesy='60
+\skewchar\ninett=-1
+%
+\newskip\tglue
+\def\ninepoint{\def\rm{\fam0\ninerm}
+ \textfont0=\ninerm
+ \textfont1=\ninei
+ \textfont2=\ninesy
+ \textfont\itfam=\nineit \def\it{\fam\itfam\nineit}%
+ \textfont\slfam=\ninesl \def\sl{\fam\slfam\ninesl}%
+ \textfont\ttfam=\ninett \def\tt{\fam\ttfam\ninett}%
+ \textfont\bffam=\ninebf \def\bf{\fam\bffam\ninebf}%
+ \tt\tglue=.5em plus.25em minus .15em
+ \normalbaselineskip=11pt
+ \setbox\strutbox=\hbox{\vrule height8pt depth3pt width0pt}%
+ \let\sc=\sevenrm \let\big=\ninebig \normalbaselines\rm}%
diff --git a/fonts/apl/problems.tex b/fonts/apl/problems.tex
new file mode 100644
index 0000000000..3f47553ea3
--- /dev/null
+++ b/fonts/apl/problems.tex
@@ -0,0 +1,316 @@
+
+%===================================================================
+% Sample problems; solutions give examples on using APL style in TeX
+% Taken from the course ``Mathematics on the Computer'', Fall 87
+%===================================================================
+
+\magnification = \magstep1
+
+\advance\vsize by 3truecm
+
+\input mssymb % for some math symbols only! This is the new
+ % symbol font for some standard and non-standard
+ % mathematical symbols. It is only used here for
+ % blackboard bold letters. If you dont have it,
+ % just define \def\Bbb{} etc.
+
+\input aplstyle
+
+\choosett{apl}
+
+\font\sans = amss10
+\font\sltt = amsltt10
+
+\def\header{{\sans Sample problems 9.\ 10.\ 1987}}
+% some of them come from Sims' ``Abstract Algebra, A Computational Approach''
+\def\APL{{\sltt APL}}
+
+\nopagenumbers
+\tolerance = 300
+\noindent
+\header
+
+\vskip 2cm
+
+\item{1.} Let $N>1$ be an integer. Show that each of the following
+ matrices represents a binary operation on
+ $S(N)$ (we set locally \BX@IO_0@.) Which of them are
+ associative, which commutative?
+ \medskip
+
+ \itemitem{a)} @(@\IO@N)@\SO@.@\CE\IO@N@
+
+ \itemitem{b)} \AB@(@\IO@N)@\SO@.-@\IO@N@
+
+ \itemitem{c)} @N@\AB@(@\IO@N)@\SO@.+@\IO@N@
+
+ \itemitem{d)} @N@\AB@(@\IO@N)@\SO@.#@\IO@N@
+
+ \medskip
+\item{} Here @x@\CE@y@ is $\max(x,y)$, @x@\AB@y@ is
+ $y\bmod x$ and \AB@x@ is the absolute value of $x$.
+
+\bigskip
+
+\item{2.} Write an \APL\ function @GPOWER@ that computes for a group
+ @G@ (global variable) the $n$-th power of a given element $x$.
+ (If $S(M)$ is a representation vector of @G@, then
+ @GPOWER@ is a map $S(M)\times \Bbb Z\to S(M)$. Simply
+ use iteration.)
+
+\bigskip
+
+\item{3.} (Continuing problem 2.) A faster algorithm is obtained by
+ decomposing $x^n$ into its 2--base form
+ $x^n = x^{i_0}\times x^{2i_1}\times
+ x^{4i_2}\times ... \times x^{{2^k}i_k}$, where $i_j\in\{0,1\}$. Show
+ that the complexity of this algorithm is $O(\log_2(n))$.
+ (Show that the number of necessary multiplications does
+ not exceed $2\log_2(n)$). How would you write the corresponding
+ function in \APL? (Note that the binary representation of $n$
+ can be obtained by applying iteratively the procedure $n\bmod 2$.)
+
+\bigskip
+
+\item{4.} Write an \APL\ function @GTSGP@ that computes for a given group @G@
+ (global variable) the subgroup generated by a given subset $A$. The
+ function @GTSGP@ has one argument (the vector @A@) and returns
+ a subset of the set $S(N)$ (as a vector). (Extend the set @A@
+ by the group operation until @A@ becomes closed with respect
+ to the operation.)
+
+\bigskip
+
+\item{5.} Write an \APL\ function @INV@ that returns for a group @G@
+ the vector of inverse elements as a vector $S(N)\to S(N)$ so
+ that the index of the inverse of $x_i$ is @(INV G)[I]@.
+
+\bigskip
+
+\item{6.} Let $(G,\theta)$ be a group and let $A$ be a subset of $G$. Program
+ the following algorithm in \APL\ to find the subgroup @H@
+ generated by @A@. Compare the perfomance of this algorithm
+ with the algorithm in Problem 4.
+ \medskip
+
+ \itemitem{a)} put $H$ and $Y$ equal to $\{e\}$.
+
+ \itemitem{b)} let $Y$ be $YA\smallsetminus H$.
+
+ \itemitem{c)} if $Y=\emptyset$, stop.
+
+ \itemitem{d)} put $H$ equal to $H\cup Y$ and
+ go to (b).
+
+ \medskip
+\item{} ($e$ is the neutral element and $YA\smallsetminus H$
+ is the set--theoretical difference of $YA$ and $H$.
+ The product $YA$ is the set $\{y\theta a: y\in Y, a\in A\}$.)
+
+\bigskip
+
+\item{7.} Write an \APL\ function @PROD@ that returns for given groups
+ $(G_1,\theta_1)$ ja $(G_2,\theta_2)$ the {\sl direct product}
+ $(G_1\times G_2,\theta_1\times\theta_2)$ as a group table.
+ (The binary operation in the product is $(x,y)\theta_1\times\theta_2
+ (z,w) = (x\theta_1 z,y\theta_2 w)$).
+
+\bigskip
+
+\vfill\eject
+
+%==========================================================================
+% Solutions to above sample exercises
+%==========================================================================
+
+%\advance\vsize by 3truecm
+
+\choosett{apl}
+
+\noindent
+\header%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\vskip 1cm
+
+\noindent
+As the index of the neutral element we use the index origin \BX@IO@ which
+usually has the value @0@. Then $S(N)=
+\{0,\dots,N-1\}$, given by the vector \IO@N@.
+An example on groups are the cyclic groups $({\bf Z}_n,+)$
+the group tables of which are generated by the \APL\ function @ZNPLUS@:
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_ZNPLUS N;@BXIO
+[1] @BXIO_0
+[2] Z_N@AB(@ION)@SO.+@ION
+ @DL
+\endtt
+}\smallskip
+
+\item{1.} The matrices represent binary operations of $S(N)$,
+ since they are $N\times N$-matrices with elements from
+ $S(N)$. They are all associative and also commutative except for
+ the case (b). This can be seen by the function @TEST@:
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_TEST B
+[1] " B IS A BINARY OPERATION. THE FUNCTION RETURNS A BOOLEAN 2-VECTOR
+[2] " (B ASSOCIATIVE, B COMMUTATIVE)
+[3] Z_(&/&/&/B[B;]=B[;B]),&/&/B=@TRB
+ @DL
+\endtt
+}\smallskip
+
+\item{2.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL P_X GPOWER N;I
+[1] " G GLOBAL
+[2] P_@BXIO @DM I_0
+[3] TEST:@GO(N<I_I+1)/0
+[4] P_G[P;X]
+[5] @GOTEST
+ @DL
+\endtt
+}\smallskip
+
+\item{3.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL P_X BGPOWER N;IJ
+[1] " G GLOBAL
+[2] P_@BXIO
+[3] NEXTJ:@GO(0=N,IJ_2@ABN)/0,SQX
+[4] P_G[P;X]
+[5] SQX:X_G[X;X]
+[6] N_(N-IJ)%2
+[7] @GONEXTJ
+ @DL
+\endtt
+}
+
+\item{} A comment: if $i_j=0$, then the power is not increased,
+ but the square $x^{2^{j+1}}=(x^{2^j})^2$ is computed.
+ The number of iterations is $k$; $n = i_0+i_12+\cdots+i_k2^k \ge 2^k$,
+ when $i_k \not= 0$, and hence $k \le \log_2(n)$.
+ Thus, the complexity is $O(\log_2(n))$.
+\smallskip
+
+\vfill\eject
+\item{4.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_A GTSGP G
+[1] " RETURNS THE SUBGROUP OF G GENERATED BY A
+[2] Z_,A
+[3] TEST:@GO(&/&/G[Z;Z]@EPZ)/FOUND
+[4] Z_Z UNION G[Z;Z]
+[5] @GOTEST
+[6] FOUND:Z_Z[@GUZ]
+ @DL
+\endtt
+}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_A UNION B;V;@BXIO
+[1] V_(,A),,B
+[2] @BXIO_1
+[3] Z_,CLEAN((@ROV),1)@ROV
+ @DL
+\endtt
+}
+
+The auxiliary function @CLEAN@ was given earlier.
+\bigskip
+
+\item{5.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_INV G
+[1] " RETURNS THE VECTOR OF INVERSE ELEMENTS OF G
+[2] (@BXIO=,G)/,(@ROG)@ROG[@BXIO;]
+ @DL
+\endtt
+}\smallskip
+
+\item{6.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL H_A BGTSGP G;Y
+[1] " RETURNS THE SUBGROUP OF G GENERATED BY A
+[2] H_Y_@BXIO
+[3] B:@GO(0=@ROY_(,G[Y;A])MINUS H)/0
+[4] H_H UNION Y
+[5] @GOB
+ @DL
+\endtt
+}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_A MINUS B
+[1] Z_(@NTA@EPB)/A
+ @DL
+\endtt
+}\smallskip
+
+\item{7.} If the elements of $G_i$ have been indexed by the interval
+ $[0,n_i-1]$, the elements of $G_1\times G_2$ become indexed
+ in a natural way by the elements of the Cartesian product
+ $[0,n_1-1]\times[0,n_2-1]$. With the bijection
+ $(i,j) \mapsto in_2+j:[0,n_1-1]\times[0,n_2-1]
+ \longrightarrow[0,n_1n_2-1]$
+ (the inverse $k\mapsto((k-(k \bmod n_2))/n_2,k \bmod n_2)$
+ selects the quotient and remainder in the division by $n_2$)
+ we get $[0,n_1n_2-1]$ as the index set.
+
+\vfill\eject
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL G_G1 PROD G2;@BXIO;I;J;IREM;JREM;N1;N2;N
+[1] N_(N1_(@ROG1)[1])#N2_(@ROG2)[1] @DM I_@BXIO_0
+[2] G_(N,N)@RO0
+[3] JLOOP:J_0
+[4] CORE:G[I;J]_(G1[(I-IREM)%N2;(J-JREM)%N2]#N2)+G2[IREM_N2@ABI;JREM_N2@ABJ]
+[5] @GO(N>J_J+1)/CORE
+[6] @GO(N>I_I+1)/JLOOP
+ @DL
+\endtt
+}
+
+Example:
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ (ZNPLUS 2) PROD ZNPLUS 10
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
+ 1 2 3 4 5 6 7 8 9 0 11 12 13 14 15 16 17 18 19 10
+ 2 3 4 5 6 7 8 9 0 1 12 13 14 15 16 17 18 19 10 11
+ 3 4 5 6 7 8 9 0 1 2 13 14 15 16 17 18 19 10 11 12
+ 4 5 6 7 8 9 0 1 2 3 14 15 16 17 18 19 10 11 12 13
+ 5 6 7 8 9 0 1 2 3 4 15 16 17 18 19 10 11 12 13 14
+ 6 7 8 9 0 1 2 3 4 5 16 17 18 19 10 11 12 13 14 15
+ 7 8 9 0 1 2 3 4 5 6 17 18 19 10 11 12 13 14 15 16
+ 8 9 0 1 2 3 4 5 6 7 18 19 10 11 12 13 14 15 16 17
+ 9 0 1 2 3 4 5 6 7 8 19 10 11 12 13 14 15 16 17 18
+10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9
+11 12 13 14 15 16 17 18 19 10 1 2 3 4 5 6 7 8 9 0
+12 13 14 15 16 17 18 19 10 11 2 3 4 5 6 7 8 9 0 1
+13 14 15 16 17 18 19 10 11 12 3 4 5 6 7 8 9 0 1 2
+14 15 16 17 18 19 10 11 12 13 4 5 6 7 8 9 0 1 2 3
+15 16 17 18 19 10 11 12 13 14 5 6 7 8 9 0 1 2 3 4
+16 17 18 19 10 11 12 13 14 15 6 7 8 9 0 1 2 3 4 5
+17 18 19 10 11 12 13 14 15 16 7 8 9 0 1 2 3 4 5 6
+18 19 10 11 12 13 14 15 16 17 8 9 0 1 2 3 4 5 6 7
+19 10 11 12 13 14 15 16 17 18 9 0 1 2 3 4 5 6 7 8
+\endtt
+}
+
+\end
diff --git a/fonts/apl/readme b/fonts/apl/readme
new file mode 100644
index 0000000000..4e429b26a5
--- /dev/null
+++ b/fonts/apl/readme
@@ -0,0 +1,28 @@
+Thank you for your letter of 27 February. The original purpose
+of our APL font and macros was to solve the immediate problem
+of writing documents with APL code. Therefore, they are free for
+anyone who finds them useful. Some people have requested the font
+and we have sent them the files appended below (with CMAPL10 and
+two conversion programs for downloading pixel files, not given here).
+Further, we have nothing against giving our net address to the
+users because it would be useful to hear about extensions made
+to the system.
+
+The files APLDEF.TEX and TUGBOAT.TEX are identical with the second
+versions sent to you (via BITNET) except for minimal changes (there
+are some corrections and extensions in APLDEF.TEX, and in
+TUGBOAT.TEX one APL line was corrected.) We think the files are
+in a "final" form (at least we are not planning any changes).
+
+Our original purpose was to publish the second version, but the only
+difference was really the removal of the tilde space character (this
+resulted in more complex 1-character macros, but the user cannot
+see any difference; moreover, TeX runs only about 14% slower). Thus,
+we feel that there is no reason to publish a list of errata in
+TUGboat, because any user would inevitably have to use the new
+version (the old one has not been released).
+
+We are adding a file containing sample examples on the use of the
+APL mnemonics.
+
+Aarno Hohti
diff --git a/fonts/apl/readme.txt b/fonts/apl/readme.txt
new file mode 100644
index 0000000000..4d939552a3
--- /dev/null
+++ b/fonts/apl/readme.txt
@@ -0,0 +1,129 @@
+Thank you for your letter of 27 February. The original purpose
+of our APL font and macros was to solve the immediate problem
+of writing documents with APL code. Therefore, they are free for
+anyone who finds them useful. Some people have requested the font
+and we have sent them the files appended below (with CMAPL10 and
+two conversion programs for downloading pixel files, not given here).
+Further, we have nothing against giving our net address to the
+users because it would be useful to hear about extensions made
+to the system.
+
+The files APLDEF.TEX and TUGBOAT.TEX are identical with the second
+versions sent to you (via BITNET) except for minimal changes (there
+are some corrections and extensions in APLDEF.TEX, and in
+TUGBOAT.TEX one APL line was corrected.) We think the files are
+in a "final" form (at least we are not planning any changes).
+
+Our original purpose was to publish the second version, but the only
+difference was really the removal of the tilde space character (this
+resulted in more complex 1-character macros, but the user cannot
+see any difference; moreover, TeX runs only about 14% slower). Thus,
+we feel that there is no reason to publish a list of errata in
+TUGboat, because any user would inevitably have to use the new
+version (the old one has not been released).
+
+We are adding a file containing sample examples on the use of the
+APL mnemonics.
+
+Aarno Hohti
+
+
+
+%=================================================================
+% R E A D M E . T X T
+%=================================================================
+
+ These files contain the necessary material for producing
+APL documents with TeX. It should be pointed out that as written
+in an article published in TUGboat, the system as such can be
+described as a straightforward solution to the problem of making
+nice documents containing APL code. Instead of trying to achieve
+a completed result, we tell the reader how to use existing MetaFont
+character descriptions as far as possible to provide an APL font
+of reasonably fine quality. Further development is left to the users.
+Combined with suitable TeX macros using Digital's mnemonics -- chosen
+because of the popularity of the interpreter among APL users
+(it is really the only one used at our site) -- the font can be used
+smoothly enough. Furthermore, if combined with an APL workspace
+providing functions for an automatic conversion of APL workspaces
+into TeX code, the system can be used to merge pre-existing
+APL code into documents without the pain of re-writing the code
+in Digital's 2-letter mnemonics.
+ To produce pixel files from the MetaFont file CMAPL10.MF,
+you have to run MetaFont in your local machine. By typing METAFONT
+you should get the prompt symbol '*'. It may be necessary to use
+the form
+
+ METAFONT\INPUT_DIRECTORY = XXXXXX
+
+where XXXXXX is the global name of the directory where the basic
+CMMF definitions can be found.
+The following discussion will then get MetaFont to produce a generic
+font file CMAPL10.360GF:
+
+ * \relax;
+ * \mode = imagen;
+ * \mag = 1.2;
+ * input cmapl10
+
+Here \mode = imagen was used to get a pixel file for a laserprinter
+with the resolution 200 times 200 pixels per square inch. It is
+possible that the definition of 'imagen' is different at your local
+site; in the case of error ask the person who installed your local
+MetaFont. Notice that \mag = 1.2 is needed in case you want to get
+magnified pixels. The final pixel (because of the resolution 200)
+files will then be named CMAPL10.1800PXL (or whatever you choose
+to call them). If you want to produce 'small' pixel files for example
+for a screen previewer, use \mag = xxx with an appropriate constant xxx.
+(You can check the form of characters obtained on a teletype terminal
+by using the program GFTYPE.) Finally, you get a pixel file from
+CMAPL10.xxxGF by running the program GF(TO)PXL.EXE, which should be
+found together with MetaFont.
+ Some people want to use their pixel files on a PC (the
+laserprinter is connected to a PC or for previewing purposes). In
+that case the pixel files must be downloaded from the host. We never
+use programs like Kermit for transferring the binary file but
+first convert it to hex form, load the file down as a text file and
+then convert it back. It is IMPORTANT to notice that pixel files in
+VAXes (say) are composed of 512 byte blocks. The pixel file itself
+is ended by the pixel_id, which is either 1001 (rasters are in word packed
+form) or 1002 (rasters are in byte packed form). Some programs running
+on PCs assume that the last 4 bytes of the pixel file really
+represent the pixel_id. Hence, the pixel files downloaded from the host
+should be CLEANed from garbage (the programs CONVERT and CLEAN are
+given for convenience and to fix the definition of what they should do).
+ MetaFont also produces the file CMAPL10.TFM containing the
+metric information of the characters in the font. These are needed
+by TeX, and they can be downloaded as such (at least if you are
+using Micro-TeX or PCTeX).
+
+ In order to use the mnemonics, the macros in APLSTYLE are
+needed. There are basically two ways of merging APL code. There are
+standard macros called VERBATIM, which enable the user to produce
+'typewriter-like' output. As APL is modelled on a typewriter style,
+too, it has been reasonable to extend VERBATIM to accept different
+typewriter-like fonts. The escape sequence \choosett enables you to
+choose the font you want to use. Thus, \choosett{tentt} swithces
+the standard font CMTT10 on, whereas \choosett{apl} chooses the font
+APL, defined in APLSTYLE by '\font\apl = cmapl10'. First, you can
+insert APL code into text lines. In this case you can call any
+APL symbol either by its 2-letter mnemonic (for example \BX produces the
+box symbol) if there is no symbol for it OR otherwise by its name
+surrounded by two @'s. (The @ character swithces into the current
+typewriter style.) Thus, @A_B@ produces 'A <-- B' in APL style, because
+'_' is the name of '<--' in Digital's mnemonics. Secondly, you can
+insert APL code in 'screenlike' mode. The code is to be delimited
+by the pair \begintt - \endtt. Example:
+
+\begintt
+ @DL Z_ZNPLUS N;@BXIO % Here '@' replaces '\' as the escape
+[1] @BXIO_0 % character
+[2] Z_N@AB(@ION)@SO.+@ION
+ @DL
+\endtt
+
+Please note that in this case the material between \begintt -- \endtt
+is considered by TeX as a vertical box that cannot be divided between
+pages. Thus, if you have a long APL function, it might produce
+a message of underfull vbox.
+
diff --git a/fonts/apl/sample.tex b/fonts/apl/sample.tex
new file mode 100644
index 0000000000..85481d7c94
--- /dev/null
+++ b/fonts/apl/sample.tex
@@ -0,0 +1,124 @@
+
+%============================================================================
+% S A M P L E . T E X
+%============================================================================
+
+%===================================================================
+% Sample problems; solutions give examples on using APL style in TeX
+% Taken from the course ``Mathematics on the Computer'', Fall 87
+%===================================================================
+
+\magnification = \magstep1
+
+\advance\vsize by 3truecm
+
+\input mssymb % for some math symbols only! This is the new
+ % symbol font for some standard and non-standard
+ % mathematical symbols. It is only used here for
+ % blackboard bold letters. If you dont have it,
+ % just define \def\Bbb{} etc.
+
+\input aplstyle
+
+\choosett{apl}
+
+\font\sans = amss10
+\font\sltt = amsltt10
+
+\def\header{{\sans Sample problems 9.\ 10.\ 1987}}
+% some of them come from Sims' ``Abstract Algebra, A Computational Approach''
+\def\APL{{\sltt APL}}
+
+\nopagenumbers
+\tolerance = 300
+\noindent
+\header
+
+\vskip 2cm
+
+\item{1.} Let $N>1$ be an integer. Show that each of the following
+ matrices represents a binary operation on
+ $S(N)$ (we set locally \BX@IO_0@.) Which of them are
+ associative, which commutative?
+ \medskip
+
+ \itemitem{a)} @(@\IO@N)@\SO@.@\CE\IO@N@
+
+ \itemitem{b)} \AB@(@\IO@N)@\SO@.-@\IO@N@
+
+ \itemitem{c)} @N@\AB@(@\IO@N)@\SO@.+@\IO@N@
+
+ \itemitem{d)} @N@\AB@(@\IO@N)@\SO@.#@\IO@N@
+
+ \medskip
+\item{} Here @x@\CE@y@ is $\max(x,y)$, @x@\AB@y@ is
+ $y\bmod x$ and \AB@x@ is the absolute value of $x$.
+
+\bigskip
+
+\item{2.} Write an \APL\ function @GPOWER@ that computes for a group
+ @G@ (global variable) the $n$-th power of a given element $x$.
+ (If $S(M)$ is a representation vector of @G@, then
+ @GPOWER@ is a map $S(M)\times \Bbb Z\to S(M)$. Simply
+ use iteration.)
+
+\bigskip
+
+\item{3.} (Continuing problem 2.) A faster algorithm is obtained by
+ decomposing $x^n$ into its 2--base form
+ $x^n = x^{i_0}\times x^{2i_1}\times
+ x^{4i_2}\times ... \times x^{{2^k}i_k}$, where $i_j\in\{0,1\}$. Show
+ that the complexity of this algorithm is $O(\log_2(n))$.
+ (Show that the number of necessary multiplications does
+ not exceed $2\log_2(n)$). How would you write the corresponding
+ function in \APL? (Note that the binary representation of $n$
+ can be obtained by applying iteratively the procedure $n\bmod 2$.)
+
+\bigskip
+
+\item{4.} Write an \APL\ function @GTSGP@ that computes for a given group @G@
+ (global variable) the subgroup generated by a given subset $A$. The
+ function @GTSGP@ has one argument (the vector @A@) and returns
+ a subset of the set $S(N)$ (as a vector). (Extend the set @A@
+ by the group operation until @A@ becomes closed with respect
+ to the operation.)
+
+\bigskip
+
+\item{5.} Write an \APL\ function @INV@ that returns for a group @G@
+ the vector of inverse elements as a vector $S(N)\to S(N)$ so
+ that the index of the inverse of $x_i$ is @(INV G)[I]@.
+
+\bigskip
+
+\item{6.} Let $(G,\theta)$ be a group and let $A$ be a subset of $G$. Program
+ the following algorithm in \APL\ to find the subgroup @H@
+ generated by @A@. Compare the perfomance of this algorithm
+ with the algorithm in Problem 4.
+ \medskip
+
+ \itemitem{a)} put $H$ and $Y$ equal to $\{e\}$.
+
+ \itemitem{b)} let $Y$ be $YA\smallsetminus H$.
+
+ \itemitem{c)} if $Y=\emptyset$, stop.
+
+ \itemitem{d)} put $H$ equal to $H\cup Y$ and
+ go to (b).
+
+ \medskip
+\item{} ($e$ is the neutral element and $YA\smallsetminus H$
+ is the set--theoretical difference of $YA$ and $H$.
+ The product $YA$ is the set $\{y\theta a: y\in Y, a\in A\}$.)
+
+\bigskip
+
+\item{7.} Write an \APL\ function @PROD@ that returns for given groups
+ $(G_1,\theta_1)$ ja $(G_2,\theta_2)$ the {\sl direct product}
+ $(G_1\times G_2,\theta_1\times\theta_2)$ as a group table.
+ (The binary operation in the product is $(x,y)\theta_1\times\theta_2
+ (z,w) = (x\theta_1 z,y\theta_2 w)$).
+
+\bigskip
+
+\vfill\eject
diff --git a/fonts/apl/solutions.tex b/fonts/apl/solutions.tex
new file mode 100644
index 0000000000..85e3730545
--- /dev/null
+++ b/fonts/apl/solutions.tex
@@ -0,0 +1,198 @@
+
+%==========================================================================
+% Solutions to above sample exercises
+%==========================================================================
+
+%\advance\vsize by 3truecm
+
+\choosett{apl}
+
+\noindent
+\header%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\vskip 1cm
+
+\noindent
+As the index of the neutral element we use the index origin \BX@IO@ which
+usually has the value @0@. Then $S(N)=
+\{0,\dots,N-1\}$, given by the vector \IO@N@.
+An example on groups are the cyclic groups $({\bf Z}_n,+)$
+the group tables of which are generated by the \APL\ function @ZNPLUS@:
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_ZNPLUS N;@BXIO
+[1] @BXIO_0
+[2] Z_N@AB(@ION)@SO.+@ION
+ @DL
+\endtt
+}\smallskip
+
+\item{1.} The matrices represent binary operations of $S(N)$,
+ since they are $N\times N$-matrices with elements from
+ $S(N)$. They are all associative and also commutative except for
+ the case (b). This can be seen by the function @TEST@:
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_TEST B
+[1] " B IS A BINARY OPERATION. THE FUNCTION RETURNS A BOOLEAN 2-VECTOR
+[2] " (B ASSOCIATIVE, B COMMUTATIVE)
+[3] Z_(&/&/&/B[B;]=B[;B]),&/&/B=@TRB
+ @DL
+\endtt
+}\smallskip
+
+\item{2.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL P_X GPOWER N;I
+[1] " G GLOBAL
+[2] P_@BXIO @DM I_0
+[3] TEST:@GO(N<I_I+1)/0
+[4] P_G[P;X]
+[5] @GOTEST
+ @DL
+\endtt
+}\smallskip
+
+\item{3.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL P_X BGPOWER N;IJ
+[1] " G GLOBAL
+[2] P_@BXIO
+[3] NEXTJ:@GO(0=N,IJ_2@ABN)/0,SQX
+[4] P_G[P;X]
+[5] SQX:X_G[X;X]
+[6] N_(N-IJ)%2
+[7] @GONEXTJ
+ @DL
+\endtt
+}
+
+\item{} A comment: if $i_j=0$, then the power is not increased,
+ but the square $x^{2^{j+1}}=(x^{2^j})^2$ is computed.
+ The number of iterations is $k$; $n = i_0+i_12+\cdots+i_k2^k \ge 2^k$,
+ when $i_k \not= 0$, and hence $k \le \log_2(n)$.
+ Thus, the complexity is $O(\log_2(n))$.
+\smallskip
+
+\vfill\eject
+\item{4.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_A GTSGP G
+[1] " RETURNS THE SUBGROUP OF G GENERATED BY A
+[2] Z_,A
+[3] TEST:@GO(&/&/G[Z;Z]@EPZ)/FOUND
+[4] Z_Z UNION G[Z;Z]
+[5] @GOTEST
+[6] FOUND:Z_Z[@GUZ]
+ @DL
+\endtt
+}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_A UNION B;V;@BXIO
+[1] V_(,A),,B
+[2] @BXIO_1
+[3] Z_,CLEAN((@ROV),1)@ROV
+ @DL
+\endtt
+}
+
+The auxiliary function @CLEAN@ was given earlier.
+\bigskip
+
+\item{5.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_INV G
+[1] " RETURNS THE VECTOR OF INVERSE ELEMENTS OF G
+[2] (@BXIO=,G)/,(@ROG)@ROG[@BXIO;]
+ @DL
+\endtt
+}\smallskip
+
+\item{6.}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL H_A BGTSGP G;Y
+[1] " RETURNS THE SUBGROUP OF G GENERATED BY A
+[2] H_Y_@BXIO
+[3] B:@GO(0=@ROY_(,G[Y;A])MINUS H)/0
+[4] H_H UNION Y
+[5] @GOB
+ @DL
+\endtt
+}
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL Z_A MINUS B
+[1] Z_(@NTA@EPB)/A
+ @DL
+\endtt
+}\smallskip
+
+\item{7.} If the elements of $G_i$ have been indexed by the interval
+ $[0,n_i-1]$, the elements of $G_1\times G_2$ become indexed
+ in a natural way by the elements of the Cartesian product
+ $[0,n_1-1]\times[0,n_2-1]$. With the bijection
+ $(i,j) \mapsto in_2+j:[0,n_1-1]\times[0,n_2-1]
+ \longrightarrow[0,n_1n_2-1]$
+ (the inverse $k\mapsto((k-(k \bmod n_2))/n_2,k \bmod n_2)$
+ selects the quotient and remainder in the division by $n_2$)
+ we get $[0,n_1n_2-1]$ as the index set.
+
+\vfill\eject
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ @DL G_G1 PROD G2;@BXIO;I;J;IREM;JREM;N1;N2;N
+[1] N_(N1_(@ROG1)[1])#N2_(@ROG2)[1] @DM I_@BXIO_0
+[2] G_(N,N)@RO0
+[3] JLOOP:J_0
+[4] CORE:G[I;J]_(G1[(I-IREM)%N2;(J-JREM)%N2]#N2)+G2[IREM_N2@ABI;JREM_N2@ABJ]
+[5] @GO(N>J_J+1)/CORE
+[6] @GO(N>I_I+1)/JLOOP
+ @DL
+\endtt
+}
+
+Example:
+
+\hskip\parskip\vbox{\hsize=15truecm
+\begintt
+ (ZNPLUS 2) PROD ZNPLUS 10
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
+ 1 2 3 4 5 6 7 8 9 0 11 12 13 14 15 16 17 18 19 10
+ 2 3 4 5 6 7 8 9 0 1 12 13 14 15 16 17 18 19 10 11
+ 3 4 5 6 7 8 9 0 1 2 13 14 15 16 17 18 19 10 11 12
+ 4 5 6 7 8 9 0 1 2 3 14 15 16 17 18 19 10 11 12 13
+ 5 6 7 8 9 0 1 2 3 4 15 16 17 18 19 10 11 12 13 14
+ 6 7 8 9 0 1 2 3 4 5 16 17 18 19 10 11 12 13 14 15
+ 7 8 9 0 1 2 3 4 5 6 17 18 19 10 11 12 13 14 15 16
+ 8 9 0 1 2 3 4 5 6 7 18 19 10 11 12 13 14 15 16 17
+ 9 0 1 2 3 4 5 6 7 8 19 10 11 12 13 14 15 16 17 18
+10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9
+11 12 13 14 15 16 17 18 19 10 1 2 3 4 5 6 7 8 9 0
+12 13 14 15 16 17 18 19 10 11 2 3 4 5 6 7 8 9 0 1
+13 14 15 16 17 18 19 10 11 12 3 4 5 6 7 8 9 0 1 2
+14 15 16 17 18 19 10 11 12 13 4 5 6 7 8 9 0 1 2 3
+15 16 17 18 19 10 11 12 13 14 5 6 7 8 9 0 1 2 3 4
+16 17 18 19 10 11 12 13 14 15 6 7 8 9 0 1 2 3 4 5
+17 18 19 10 11 12 13 14 15 16 7 8 9 0 1 2 3 4 5 6
+18 19 10 11 12 13 14 15 16 17 8 9 0 1 2 3 4 5 6 7
+19 10 11 12 13 14 15 16 17 18 9 0 1 2 3 4 5 6 7 8
+\endtt
+}
+
+\end
+
+
diff --git a/fonts/apl/tugboat.tex b/fonts/apl/tugboat.tex
new file mode 100644
index 0000000000..87b1461a1c
--- /dev/null
+++ b/fonts/apl/tugboat.tex
@@ -0,0 +1,530 @@
+
+%=============================================================================
+% T U G B O A T . T E X
+%=============================================================================
+%========================================================================
+% A TeX file for the paper on APL-TeX (new version, not published)
+%
+% A.Hohti/O.Kanerva (University of Helsinki) April 1987
+%========================================================================
+%
+%
+% Version of August 26, 1987 at 15:00
+%
+%
+%========================================================================
+\input aplstyle % the file containing the APL definitions
+%========================================================================
+%
+%
+\magnification=\magstep1 % for weak eyes!
+%
+%
+%========================================================================
+\font\bigbf=ambx10 % for titles
+\font\sltt=amsltt10 % for file contents inside text
+\font\manual=manfnt at 10pt % for major METAFONT logo
+\font\minual=manfnt at 9pt % for minor METAFONT logo
+\input ninesize % abstract, references
+%========================================================================
+%
+\def\METAFONT{{\manual META}\-{\manual FONT}}
+\def\metafont{{\minual META}\-{\minual FONT}}
+%
+%========================================================================
+% stylistic definitions
+\def\section#1{\vskip0pt plus .1\vsize
+ \penalty-250\vskip0pt plus-.1\vsize\bigskip
+ \noindent{\bf #1.\ }\nobreak\message{#1}}
+\def\abstract#1{\bigskip\centerline{\hbox{
+ \vbox{\hsize=4.75truein{\ninepoint \noindent ABSTRACT.\enspace#1}}}}}
+\def\APL{{\sl APL}}
+% this definition is from the TeXbook, Ex. 21.3 :
+\def\boxit#1{\vbox{\hrule \hbox{\vrule \kern2pt
+ \vbox{\kern2pt#1\kern2pt}\kern2pt\vrule}\hrule}}
+% A macro for making references and blocks.
+%
+\newdimen\refindent\newdimen\plusindent
+\newdimen\refskip\newdimen\tempindent
+\newdimen\extraindent
+\newcount\refcount
+%
+% \refskip has to be set by the user! Otherwise \parindent is
+% used, in accordance with \item.
+%
+\refcount=0
+\def\ref#1:#2.-#3\par{\ninepoint % switch to nine point fonts
+\advance\refcount by 1
+\setbox0=\hbox{[\number\refcount]}\refindent=\wd0
+\plusindent=\refskip\extraindent=\refskip
+\advance\plusindent by -\refindent\tempindent=\parindent %
+\parindent=0pt\par\hangindent\extraindent %
+ [\number\refcount]\hskip\plusindent #1:{\sl#2},#3
+\parindent=\tempindent}
+%
+\refskip=\parindent
+%
+%========================================================================
+ % HEADER
+\null
+\vskip2truecm
+%
+ \centerline{\bigbf GENERATING AN \APL\ FONT}
+%
+\vskip.75truecm
+%
+ \centerline{\sl Aarno Hohti and Okko Kanerva}
+%
+\vskip.5truecm
+%
+ \centerline{\sl University of Helsinki}
+\vskip.5truecm
+\abstract{The \APL\ language is well known for its peculiar
+ symbols which have inhibited the use of this language
+ in many programming environments. Making \APL\
+ documents of good quality has been difficult and
+ expensive. We describe here a simple way how to
+ use \metafont\ to generate an \APL\ font for \TeX\
+ by using existing font definitions as far as possible.}
+\vskip.5truecm
+%========================================================================
+%
+\section{Introduction}
+This note describes an interesting exercise in using
+\METAFONT\ to produce new typefaces by combining letters
+from standard fonts. As we know, the \APL\ language [6] of
+Kenneth Iverson has never gained the popularity it deserves
+which is largely due to its strange symbol set. Indeed,
+true \APL\ users require a special keyboard to support
+the nonstandard but powerful operator symbols. Moreover,
+putting \APL\ into print has always been a problem, and
+modern low cost computerized typesetting programs do
+not usually support \APL\ style. \TeX\ can be used to
+produce high quality printouts for technical text,
+and it would be desirable to have a possibility to
+mix in \APL\ code. The companion program of
+\TeX ---\METAFONT ---provides a full means for a simple generation
+of an \APL\ font for \TeX, and the purpose of this
+note is to inform other people about the result we
+have obtained at the University of Helsinki. Let us note
+that there are at least three other \APL\ fonts available
+for small computer environments. Indeed, the newsletter
+\APL\ {\it Quote Quad\/}\footnote{*}{{\ninepoint Newsletter of SIGAPL,
+the Special Interest Group for \APL. {\it Quote Quad\/} has the same
+status in the world of \APL\ as TUGboat in \TeX{nical} world.}}
+is produced by using TROFF, and there
+exists a Postscript \APL\ font for the Apple Laserwriter [5] and
+another font for the TEXT typesetting system [2].
+
+Consider the following usual kind of function definition in \APL:
+\choosett{apl}
+\begintt
+ @DLS_SUMSQ N;I
+ [1] S_I_0
+ [2] @GO(N<I_I+1)/0
+ [3] S_S+I*2
+ [4] @GO2
+ [5] @DL
+\endtt
+\choosett{sltt}% %@@@@
+How to write in this code, providing that we have a suitable
+font? The \APL\ font should represent the screen
+output style of \APL\ code and obey the same laws of spacing.
+Hence, it should be a typewriter-like typeface with fixed
+spacing; the same approach for representing \TeX\ input was
+adopted by Knuth in the {\TeX}book.
+The {\it verbatim\/} macros have often been used for importing
+screen or paper outputs into \TeX\ documents; some people
+misuse them for an easy construction of tables etc. In
+{\sltt verbatim}, the typewriter mode is entered by the control
+sequence @\begintt@---that mode is ended by
+@\endtt@. In the same vein, we could enter
+the \APL\ mode by the control sequence @\beginapl@,
+and to end it by @\endapl@. However, it is more convenient to
+augment {\sltt verbatim\/} with {\sltt aplstyle\/} so that
+it can be used with several different typewriter-like fonts.
+(The {\it verbatim\/} macros can be found in the {\TeX}book,
+p.\ 421.) Since {\sltt\char'100\/}
+(the {\it at sign}) is used as the escape character inside {\it verbatim\/}
+mode, our \TeX\ code might (and in fact does) look as follows:
+\def\endsym{\char'134{endtt}} % just for using \endtt after \begintt
+ % without actually ending anything
+\choosett{tentt}
+\begintt
+ \choosett{apl}
+ \begintt
+ @@DLS_SUMSQ N;I
+ [1] S_I_0
+ [2] @@GO(N<I_I+1)/0
+ [3] S_S+I*2
+ [4] @@GO2
+ [5] @@DL
+ @endsym
+\endtt
+\choosett{sltt}% %@@@@
+The control sequences @\DL@ and @\GO@ are not chosen arbitrarily
+but follow the conventions used in Digital's VAX \APL\ interpreter [1].
+As terminals usually do not support the \APL\ character set, an
+alternative representation by two-letter mnemonics is provided by the
+interpreter. For the most part we have adopted these mnemonics also for our
+\APL\ font. Hence, as an additional bonus the user should find it
+easy to combine his or her \APL\ code with normal \TeX\ code. Thus,
+it is not necessary for a VAX \APL\ user to retype the definitions
+of \APL\ functions in order to be able to use them in documents.
+He or she only has to replace every {\it period\/} used as an
+escape character in Digital's interpreter, by {\sltt\char'100}.
+(There is another syntactical difference between Digital's interpreter
+and \TeX's {\it verbatim\/} mode: for the interpreter
+the third ordinary character after an escape character
+does no longer belong to the escape sequence while \TeX\ admits
+arbitrarily long control sequences. We take care of this
+by changing certain {\it catcodes\/} temporarily.)
+%
+%
+\choosett{apl}%
+%
+\section{The \APL\ font table}
+\APL\ symbols are divided into two classes: the primitive symbols
+and those obtained by overstriking two primitive ones. The overstrikes
+are traditionally obtained by typing the first symbol, by using
+backspace to go back one space and then typing the second symbol
+{\sl over\/} the first one. However, in modern \APL\ keyboards these
+double symbols are assigned to non-alphanumeric keys (for example,
+to keys under the {\sltt ALT\/} key). We decided to include only the
+primitive \APL\ symbols in the font table; this enabled us to include
+also the lower-case letters, following modern conventions. (The original
+\APL\ letters were restricted to capitals.) The comment symbol
+@"@ is the only exception since it is keyed in as a double quote.
+Our font is a fixed size typeface with strongly slanted letters.
+Moreover, we have followed the style of best books in \APL:
+all symbols should be drawn with a thin pen to get a touch of
+a typewriter. (This point is clearly witnessed, for example, in [5].)
+The places of some symbols are determined by the \TeX\ font tables.
+For example, the hash sign {\sltt\char'043\/} is used for the
+multiplication sign in VAX \APL, and hence the corresponding symbol
+has the the same octal code (043) as the hash sign in \TeX.
+The font table has the following form: %@@@@
+
+%========================================================================
+% table begins
+%========================================================================
+% This macro comes from TUGboat (I (AH) do not remember which number),
+% unsuitable parts are commented out.
+%
+{\baselineskip=0pt \lineskip=0pt
+\newdimen\vu
+%
+%\output={\shipout\vbox{\unvbox255\vskip0.4in}\advancepageno}
+%
+\setbox9=\hbox{\sl 0}
+\def\spike{\hbox to 0pt{\vbox to \ht9{}}}
+\def\cell#1{\hbox to 1\vu{\hfill\char'#1\hfill}\vrule}
+\def\label#1{\vbox to \ht8{\vfill\hbox to 35pt{\hfill\sl '#10\hskip1em%
+ }\vfill}\vrule}
+%
+\def\seprow{\def\m{\hskip 1\vu{}\vrule height 2pt}\hbox{\m\m\m\m\m\m\m\m}}
+\def\cellrow#1{\setbox8=\vbox{\seprow\hbox{\spike%
+ \cell{#10}\cell{#11}\cell{#12}\cell{#13}%
+ \cell{#14}\cell{#15}\cell{#16}\cell{#17}\hfill%
+ }\seprow\hrule}\hbox{\label{#1}\box8}}
+%
+\def\lcol#1{\hbox to 1\vu{\hfill{\sl #1}\hfill}\hskip .4pt}
+\def\chw#1{\hbox{\char'#1}}
+%
+\def\colw#1{\vbox{\chw{#10}
+ \chw{#11}
+ \chw{#12}
+ \chw{#13}
+ \chw{#14}
+ \chw{#15}
+ \chw{#16}
+ \chw{#17}}}
+%
+\def\setw#1{\vbox{\colw{#10}
+ \colw{#11}
+ \colw{#12}
+ \colw{#13}
+ \colw{#14}
+ \colw{#15}
+ \colw{#16}
+ \colw{#17}}}
+%
+\def\getw{\setbox0=\vbox{\setw0\setw1\hbox to \wd9{}\hbox to 1em{}}%
+ \vu=1.625\wd0}
+%
+ \apl\getw\bigskip % changed from \null\vfill to \bigskip
+%
+ \centerline{\vbox{%\hbox{\hskip35pt{\sl cmapl10}\hfill}
+% \vskip20pt
+ \hbox{\hskip35pt\lcol0\lcol1\lcol2\lcol3\lcol4\lcol5\lcol6\lcol7}
+ \vskip 4pt
+ \hbox{\hskip35pt\vbox{\hrule width 8\vu}\vbox{\hrule width 3.6pt}}
+ \cellrow{00}\cellrow{01}\cellrow{02}\cellrow{03}
+ \cellrow{04}\cellrow{05}\cellrow{06}\cellrow{07}
+ \cellrow{10}\cellrow{11}\cellrow{12}\cellrow{13}
+ \cellrow{14}\cellrow{15}\cellrow{16}\cellrow{17}}}} % removed \vfill
+% % from the end
+%
+%========================================================================
+% table ends
+%========================================================================
+%
+\section{The necessary \METAFONT\ files}
+The whole process started when the first author had a paper
+containing \APL\ symbols and was disappointed with the
+quality of the symbols available on the typewriter. Moreover,
+the secretary who had typed the text had forgot a couple
+of lines in the middle of the paper, and the correction of
+such mistakes seemed to be very clumsy in comparison with
+modern typesetting. Then he decided (together with the second
+author) to remedy the situation by creating an \APL\ font for
+\TeX\ he was using for other kinds of document. Many of the
+\APL\ symbols needed were contained in standard fonts; for example,
+{\it diamond\/} can be found in {\it cmsy10}. For alphanumeric
+characters one could use {\it cmsltt10}. The simplest try for
+a solution of the problem would be to write a list of definitions
+that pick symbols from appropriate fonts. However, this brute force
+method does not really work since these symbols come from
+very different typefaces and, moreover, do not provide a fixed
+typeface. Hence, we decided to find an easy way of producing
+an \APL\ font by using \METAFONT.
+
+As the starting point, we took the font {\it cmtex10}. This is a
+fixed typeface for an extended typewriter-like font including
+some Greek characters and mathematical symbols. The \METAFONT\ file
+for this font, {\sltt cmtex10.mf\/} contains (as usual) a preamble
+that assigns values to several global variables, and the command
+{\sltt generate textset;\/}. Now the {\sl driver\/} file {\sltt textset.mf\/} %@@@@
+contains the commands {\sltt mode\_setup;font\_setup;\/} %@@@@
+(establishing the values of the variables for this font) and several
+input files from which the \METAFONT\ descriptions of the characters are to
+be found. Since some of these files treat the characters by name and
+since some of the definitions have to be changed (and some dropped),
+we considered it advisable to discard the driver file and to collect
+the separate \METAFONT\ files, together with the preamble, to form a
+large single file {\sltt cmapl10.mf}. The {\sltt .mf\/} character files
+needed for {\sltt cmapl10.mf\/} are the following:
+%
+%
+$$\vbox{\halign{{\sltt#}\hfil && \quad #\hfil\cr
+%
+ greekl & ({\it rho, omega, alpha}) \cr
+ italms & ({\it iota}) \cr
+ romand & (roman digits) \cr
+ punct & (punctuation symbols) \cr
+ romanp & \cr
+ symbol & (math symbols) \cr
+ sym & \cr
+ romanu & (uppercase letters) \cr
+ romanl & (lowercase letters) \cr
+%
+}}$$
+%
+%
+\section{Definitions}
+\choosett{tentt}%
+The first thing to do is to put {\sltt font\_identifier:="CMAPL";\/} %@@@@
+and to set {\sltt slant:=0;\/} in the preamble. Many definitions can %@@@@
+be copied verbatim from the {\sltt .mf\/} files, but some of them
+need changes. The Greek {\it iota}, as given in {\sltt greekl.mf},
+is strange to \APL\ style; we use instead the {\it dotless i\/}
+from {\sltt italms.mf}. Moreover, we used the symbol {\it elt\/}
+(element) from {\sltt sym.mf\/} instead of the Greek {\it epsilon}.
+The symbols {\it del\/} and {\it delta\/} are
+taken from {\sltt symbol.mf\/} (where their names are {\it large triangle\/}
+and {\it large inverted triangle}). However, they are too sturdy
+and too short to be placed in a proper \APL\ font. Further, {\it del\/}
+must be lifted up so that it is vertically aligned with other
+symbols. The modifications are very easy to do, and the modified %@@@@ , by ,and
+definition is shown below.
+%
+%
+\choosett{tentt}
+\begintt
+ % sqrt48 was changed to 6.25 since the del symbol in APL has
+ % a narrower top than the original reversed triangle symbol
+ % rule.nib has been changed to light_rule.nib
+ % bot y3=-d-o has been changed to bot y3=0
+ % top y1=h-d has been changed to top y1=h+2o
+ @null
+ cmchar "Del";
+ beginchar(oct"002",16u#,asc_height#,0);
+ adjust_fit(0,0); pickup light_rule.nib;
+ top y1=h+2o; y2=y1; bot y3=0;
+ .5[x1,x2]=x3=good.x .5w; w:=r:=2x3; lft x1=hround(.5w-u*6.25);
+ draw z1--z2--z3--cycle; % stroke
+ labels(1,2,3); endchar;
+\endtt
+As can be seen from this example, pen strokes were made thinner.
+Actually only one symbol was directly missing---this is the {\it quad
+box}. However, it can be obtained from the above by adding one control point:
+\begintt
+ cmchar "Quad";
+ beginchar(oct"001",16u#,body_height#,0);
+ adjust_fit(0,0); pickup light_rule.nib;
+ bot y1=0; y2=y1; top y3=h+2o; y4=y3;
+ .5[x1,x2]=x5=good.x .5w; w:=r:=2x5;
+ % The quad box is slightly wider than Del
+ lft x1=hround(.5w-u*7);
+ x3=x1; x4=x2;
+ draw z1--z2--z4--z3--cycle; % box
+ labels(1,2,3,4); endchar;
+\endtt
+After taking care of special symbols, the letters can be treated
+by finding a suitable value for {\it tilt ratio\/} (slant). Indeed,
+\APL\ letters are {\sl very\/} slanted. We suggest the value
+1/5 for this font (the font {\it cmsl10\/} uses 1/6). One should
+remember to give the command {\sltt font\_setup;\/} after setting {\sltt slant\/} %@@@@
+to 1/5.
+\choosett{sltt}% %@@@@
+Finally, one has to make the {\it verbatim\/} macros
+suitable for \APL\ style. Since {\it verbatim\/} might be
+used for several different fonts in one document, we decided
+to include a control sequence @\choosett@.
+\choosett{tentt}
+\begintt
+ \def\ifundefined#1{\expandafter\ifx\csname#1\endcsname\relax}
+ \newif\ifapl \def\aplname{apl}
+ \outer\def\choosett#1{\ifundefined{#1}%
+ \message{Undefined font(?), replaced with cmtt10}%
+ \let\tt=\tentt
+ \else
+ \def\tt{\expandafter\csname#1\endcsname}%
+ \def\ttname{#1}%
+ \ifx\ttname\aplname\apltrue\else\aplfalse\fi\fi}
+\endtt
+\choosett{sltt}%
+(The control sequence @\ifundefined@ comes from the \TeX{book}, p.\ 308.)
+With the help of @\choosett@, the standard @verbatim@ macros can be used
+with the single change that @\ifapl@, then the @\catcode@ of @A@,\dots,@Z@
+is @\other@ (12) instead of 11 for {\it letter}. Under \APL\ mode \TeX\
+will then recognize our single-letter control sequences defined, e.g., by
+\choosett{tentt}
+\begintt
+ \def\A#1{\if#1B{\apl\char'174}\else % stile
+ \if#1M{\apl\char'004}\fi\fi} % alpha .
+\endtt
+\choosett{sltt}%
+Unfortunately, we have redefined the standard @\L@, @\O@, @\P@ and @\S@.
+
+The \APL\ symbols not in the font table are obtained---as usual---by
+overstriking two table symbols.
+\choosett{tentt}%
+\begintt
+ \newbox\firstchar\newskip\charwidth
+ \def\overstrike#1#2{\setbox\firstchar=\hbox{#1}\charwidth=\wd\firstchar
+ #1\hskip-\charwidth#2}
+\endtt
+\choosett{apl}%
+For example, the {\it grade up\/} and {\it grade down\/} symbols
+\G U\ and \G D\ are obtained by striking the {\it stile\/} symbol
+@|@ over \L D\ and \D L, respectively.
+\choosett{tentt}%
+\begintt
+ \def\G#1{\if#1U{\overstrike{\LD}{\AB}}\else % grade up
+ \if#1D{\overstrike{\DL}{\AB}}\fi\fi} % grade down
+\endtt
+Now let us take another example on \APL. The input
+\begintt
+ \choosett{apl} % in case some other choice is in force
+ \setbox0=\vbox{\hsize=5.7truein
+ \begintt
+ [0] Z_A1 PROD A2;A;I;V
+ [1] "RETURNS THE PRODUCT OF THE POLYNOMIALS A1 AND A2
+ [2] "THE ARGUMENTS ARE GIVEN AS COEFFICIENT ARRAYS
+ [3] I_@@ROA1
+ [4] Z_A1@@SO.#A2
+ [5] LOOP:V_@@ROZ @@DM V[(@@ROI)+1]_V[1]
+ [6] V_@@ROZ_Z,[(@@ROI)+1]V@@RO0
+ [7] A_(1+-@@IOV[1])@@SO.#((@@NT(@@IO@@ROV)@@EP(1,(@@ROI)+1))/V)@@RO1
+ [8] Z_+/[1]A@@RV[(@@ROI)+1]Z
+ [9] ((@@RO@@ROZ)>@@ROI)/LOOP
+ @endsym
+ }
+ $$\boxit{\boxit{\box0}}$$
+ \centerline{\sevenrm An APL function for polynomial multiplication}
+\endtt
+%
+gives the output
+%
+\choosett{apl}
+\setbox0=\vbox{\hsize=5.7truein
+\begintt
+ [0] Z_A1 PROD A2;A;I;V
+ [1] "RETURNS THE PRODUCT OF THE POLYNOMIALS A1 AND A2
+ [2] "THE ARGUMENTS ARE GIVEN AS COEFFICIENT ARRAYS
+ [3] I_@ROA1
+ [4] Z_A1@SO.#A2
+ [5] LOOP:V_@ROZ @DM V[(@ROI)+1]_V[1]
+ [6] V_@ROZ_Z,[(@ROI)+1]V@RO0
+ [7] A_(1+-@IOV[1])@SO.#((@NT(@IO@ROV)@EP(1,(@ROI)+1))/V)@RO1
+ [8] Z_+/[1]A@RV[(@ROI)+1]Z
+ [9] ((@RO@ROZ)>@ROI)/LOOP
+\endtt
+ }
+$$\boxit{\boxit{\box0}}$$
+\centerline{\sevenrm An APL function for polynomial multiplication}
+%
+\section{User extension}
+A modern user of a computerized typesetting facility will probably
+ask if it is possible to extend or modify fonts coming with the
+system. As with [5], where the font has an {\it analytic\/} and a
+{\it bitmapped\/} variant, we can distinguish between the need of modifying
+{\it cmapl10\/} via \METAFONT\ and modification of the pixel files.
+\APL\ symbols of various ``blackness'' or ``thickness'' may be desirable.
+Indeed, in [3] the user input is written with boldface \APL\ symbols
+and the answers from the interpreter with thin ones. Furthermore,
+certain screen previewers use specific small size pixel files, and
+do not support the \APL\ font.
+
+The modification of the font by changing the values of some global
+variables in the preamble of the \METAFONT\ file is easy and can be
+done by following how it is done in standard fonts such as
+{\it cmbx10\/} etc. This is the recommended way, too. However, if
+\METAFONT\ is not available, then one must attack the pixel files.
+For direct hand editing, we use a program that converts a pixel
+file into a (bitmapped) text file acceptable to any standard screen
+editor, and another program reading the edited file back into
+a \TeX\ pixel file. Scaling fonts down to a desired size can be
+done in a similar (but automatic) manner; this facility is needed
+by a previewer (written by the first author) not using runtime
+scaling.
+
+
+\section{References}
+\bigskip
+{
+\ref Digital Equipment Corporation: VAX-11 \APL\ Reference Manual.-
+ 1983.
+
+\ref Feldberg, Ian: TEXT: Publication-Quality Characters Come
+ to \APL\ Graphics.- Proceedings of the 1986 \APL\ Conference,
+ SIGAPL, pp.\ 306--313.
+
+\ref Gilman, Leonard, and Allen J.\ Rose: \APL, An Interactive
+ Approach.- John Wiley \& Sons, Inc., 1984.
+
+\ref Grenander, Ulf: Mathematical Experiments on the Computer.-
+ Academic Press, 1982.
+
+\ref Howland, John E.: Typesetting \APL\ Using a Macintosh.-
+ Proceedings of the 1986 \APL\ Conference, SIGAPL, pp.\ 301--305.
+
+\ref Iverson, Kenneth: A Programming Language.- Wiley, New York, 1962.
+
+
+ }
+
+\bigskip
+\section{The address}
+\bigskip
+{\ninepoint\obeylines
+\hskip\refskip University of Helsinki
+\hskip\refskip Department of Mathematics
+\hskip\refskip Hallituskatu 15
+\hskip\refskip SF--00100 HELSINKI
+\hskip\refskip FINLAND
+}
+
+\end
+
diff --git a/fonts/apl/tugboat2.tex b/fonts/apl/tugboat2.tex
new file mode 100644
index 0000000000..05a6398b72
--- /dev/null
+++ b/fonts/apl/tugboat2.tex
@@ -0,0 +1,534 @@
+
+%=============================================================================
+% T U G B O A T . T E X
+%=============================================================================
+%========================================================================
+% A TeX file for the paper on APL-TeX (new version, not published)
+%
+% A.Hohti/O.Kanerva (University of Helsinki) April 1987
+%========================================================================
+%
+%
+% Version of August 26, 1987 at 15:00
+%
+%
+%========================================================================
+\input aplstyle % the file containing the APL definitions
+%========================================================================
+%
+%
+\magnification=\magstep1 % for weak eyes!
+%
+%
+%========================================================================
+\font\bigbf=ambx10 % for titles
+\font\sltt=amsltt10 % for file contents inside text
+\font\manual=manfnt at 10pt % for major METAFONT logo
+\font\minual=manfnt at 9pt % for minor METAFONT logo
+\input ninesize % abstract, references
+%========================================================================
+%
+\def\METAFONT{{\manual META}\-{\manual FONT}}
+\def\metafont{{\minual META}\-{\minual FONT}}
+%
+%========================================================================
+% stylistic definitions
+\def\section#1{\vskip0pt plus .1\vsize
+ \penalty-250\vskip0pt plus-.1\vsize\bigskip
+ \noindent{\bf #1.\ }\nobreak\message{#1}}
+\def\abstract#1{\bigskip\centerline{\hbox{
+ \vbox{\hsize=4.75truein{\ninepoint \noindent ABSTRACT.\enspace#1}}}}}
+\def\APL{{\sl APL}}
+% this definition is from the TeXbook, Ex. 21.3 :
+\def\boxit#1{\vbox{\hrule \hbox{\vrule \kern2pt
+ \vbox{\kern2pt#1\kern2pt}\kern2pt\vrule}\hrule}}
+% A macro for making references and blocks.
+%
+\newdimen\refindent\newdimen\plusindent
+\newdimen\refskip\newdimen\tempindent
+\newdimen\extraindent
+\newcount\refcount
+%
+% \refskip has to be set by the user! Otherwise \parindent is
+% used, in accordance with \item.
+%
+\refcount=0
+\def\ref#1:#2.-#3\par{\ninepoint % switch to nine point fonts
+\advance\refcount by 1
+\setbox0=\hbox{[\number\refcount]}\refindent=\wd0
+\plusindent=\refskip\extraindent=\refskip
+\advance\plusindent by -\refindent\tempindent=\parindent %
+\parindent=0pt\par\hangindent\extraindent %
+ [\number\refcount]\hskip\plusindent #1:{\sl#2},#3
+\parindent=\tempindent}
+%
+\refskip=\parindent
+%
+%========================================================================
+ % HEADER
+\null
+\vskip2truecm
+%
+ \centerline{\bigbf GENERATING AN \APL\ FONT}
+%
+\vskip.75truecm
+%
+ \centerline{\sl Aarno Hohti and Okko Kanerva}
+%
+\vskip.5truecm
+%
+ \centerline{\sl University of Helsinki}
+\vskip.5truecm
+\abstract{The \APL\ language is well known for its peculiar
+ symbols which have inhibited the use of this language
+ in many programming environments. Making \APL\
+ documents of good quality has been difficult and
+ expensive. We describe here a simple way how to
+ use \metafont\ to generate an \APL\ font for \TeX\
+ by using existing font definitions as far as possible.}
+\vskip.5truecm
+%========================================================================
+%
+\section{Introduction}
+This note describes an interesting exercise in using
+\METAFONT\ to produce new typefaces by combining letters
+from standard fonts. As we know, the \APL\ language [6] of
+Kenneth Iverson has never gained the popularity it deserves
+which is largely due to its strange symbol set. Indeed,
+true \APL\ users require a special keyboard to support
+the nonstandard but powerful operator symbols. Moreover,
+putting \APL\ into print has always been a problem, and
+modern low cost computerized typesetting programs do
+not usually support \APL\ style. \TeX\ can be used to
+produce high quality printouts for technical text,
+and it would be desirable to have a possibility to
+mix in \APL\ code. The companion program of
+\TeX ---\METAFONT ---provides a full means for a simple generation
+of an \APL\ font for \TeX, and the purpose of this
+note is to inform other people about the result we
+have obtained at the University of Helsinki. Let us note
+that there are at least three other \APL\ fonts available
+for small computer environments. Indeed, the newsletter
+\APL\ {\it Quote Quad\/}\footnote{*}{{\ninepoint Newsletter of SIGAPL,
+the Special Interest Group for \APL. {\it Quote Quad\/} has the same
+status in the world of \APL\ as TUGboat in \TeX{nical} world.}}
+is produced by using TROFF, and there
+exists a Postscript \APL\ font for the Apple Laserwriter [5] and
+another font for the TEXT typesetting system [2].
+
+Consider the following usual kind of function definition in \APL:
+\choosett{apl}
+\begintt
+ @DLS_SUMSQ N;I
+ [1] S_I_0
+ [2] @GO(N<I_I+1)/0
+ [3] S_S+I*2
+ [4] @GO2
+ [5] @DL
+\endtt
+\choosett{sltt}% %@@@@
+How to write in this code, providing that we have a suitable
+font? The \APL\ font should represent the screen
+output style of \APL\ code and obey the same laws of spacing.
+Hence, it should be a typewriter-like typeface with fixed
+spacing; the same approach for representing \TeX\ input was
+adopted by Knuth in the {\TeX}book.
+The {\it verbatim\/} macros have often been used for importing
+screen or paper outputs into \TeX\ documents; some people
+misuse them for an easy construction of tables etc. In
+{\sltt verbatim}, the typewriter mode is entered by the control
+sequence @\begintt@---that mode is ended by
+@\endtt@. In the same vein, we could enter
+the \APL\ mode by the control sequence @\beginapl@,
+and to end it by @\endapl@. However, it is more convenient to
+augment {\sltt verbatim\/} with {\sltt aplstyle\/} so that
+it can be used with several different typewriter-like fonts.
+(The {\it verbatim\/} macros can be found in the {\TeX}book,
+p.\ 421.) Since {\sltt\char'100\/}
+(the {\it at sign}) is used as the escape character inside {\it verbatim\/}
+mode, our \TeX\ code might (and in fact does) look as follows:
+\def\endsym{\char'134{endtt}} % just for using \endtt after \begintt
+ % without actually ending anything
+\choosett{tentt}
+\begintt
+ \choosett{apl}
+ \begintt
+ @@DLS_SUMSQ N;I
+ [1] S_I_0
+ [2] @@GO(N<I_I+1)/0
+ [3] S_S+I*2
+ [4] @@GO2
+ [5] @@DL
+ @endsym
+\endtt
+\choosett{sltt}% %@@@@
+The control sequences @\DL@ and @\GO@ are not chosen arbitrarily
+but follow the conventions used in Digital's VAX \APL\ interpreter [1].
+As terminals usually do not support the \APL\ character set, an
+alternative representation by two-letter mnemonics is provided by the
+interpreter. For the most part we have adopted these mnemonics also for our
+\APL\ font. Hence, as an additional bonus the user should find it
+easy to combine his or her \APL\ code with normal \TeX\ code. Thus,
+it is not necessary for a VAX \APL\ user to retype the definitions
+of \APL\ functions in order to be able to use them in documents.
+He or she only has to replace every {\it period\/} used as an
+escape character in Digital's interpreter, by {\sltt\char'100}.
+(There is another syntactical difference between Digital's interpreter
+and \TeX's {\it verbatim\/} mode: for the interpreter
+the third ordinary character after an escape character
+does no longer belong to the escape sequence while \TeX\ admits
+arbitrarily long control sequences. We take care of this
+by changing certain {\it catcodes\/} temporarily.)
+%
+%
+\choosett{apl}%
+%
+\section{The \APL\ font table}
+\APL\ symbols are divided into two classes: the primitive symbols
+and those obtained by overstriking two primitive ones. The overstrikes
+are traditionally obtained by typing the first symbol, by using
+backspace to go back one space and then typing the second symbol
+{\sl over\/} the first one. However, in modern \APL\ keyboards these
+double symbols are assigned to non-alphanumeric keys (for example,
+to keys under the {\sltt ALT\/} key). We decided to include only the
+primitive \APL\ symbols in the font table; this enabled us to include
+also the lower-case letters, following modern conventions. (The original
+\APL\ letters were restricted to capitals.) The comment symbol
+@"@ is the only exception since it is keyed in as a double quote.
+Our font is a fixed size typeface with strongly slanted letters.
+Moreover, we have followed the style of best books in \APL:
+all symbols should be drawn with a thin pen to get a touch of
+a typewriter. (This point is clearly witnessed, for example, in [5].)
+The places of some symbols are determined by the \TeX\ font tables.
+For example, the hash sign {\sltt\char'043\/} is used for the
+multiplication sign in VAX \APL, and hence the corresponding symbol
+has the the same octal code (043) as the hash sign in \TeX.
+The font table has the following form: %@@@@
+
+%========================================================================
+% table begins
+%========================================================================
+% This macro comes from TUGboat (I (AH) do not remember which number),
+% unsuitable parts are commented out.
+%
+{\baselineskip=0pt \lineskip=0pt
+\newdimen\vu
+%
+%\output={\shipout\vbox{\unvbox255\vskip0.4in}\advancepageno}
+%
+\setbox9=\hbox{\sl 0}
+\def\spike{\hbox to 0pt{\vbox to \ht9{}}}
+\def\cell#1{\hbox to 1\vu{\hfill\char'#1\hfill}\vrule}
+\def\label#1{\vbox to \ht8{\vfill\hbox to 35pt{\hfill\sl '#10\hskip1em%
+ }\vfill}\vrule}
+%
+\def\seprow{\def\m{\hskip 1\vu{}\vrule height 2pt}\hbox{\m\m\m\m\m\m\m\m}}
+\def\cellrow#1{\setbox8=\vbox{\seprow\hbox{\spike%
+ \cell{#10}\cell{#11}\cell{#12}\cell{#13}%
+ \cell{#14}\cell{#15}\cell{#16}\cell{#17}\hfill%
+ }\seprow\hrule}\hbox{\label{#1}\box8}}
+%
+\def\lcol#1{\hbox to 1\vu{\hfill{\sl #1}\hfill}\hskip .4pt}
+\def\chw#1{\hbox{\char'#1}}
+%
+\def\colw#1{\vbox{\chw{#10}
+ \chw{#11}
+ \chw{#12}
+ \chw{#13}
+ \chw{#14}
+ \chw{#15}
+ \chw{#16}
+ \chw{#17}}}
+%
+\def\setw#1{\vbox{\colw{#10}
+ \colw{#11}
+ \colw{#12}
+ \colw{#13}
+ \colw{#14}
+ \colw{#15}
+ \colw{#16}
+ \colw{#17}}}
+%
+\def\getw{\setbox0=\vbox{\setw0\setw1\hbox to \wd9{}\hbox to 1em{}}%
+ \vu=1.625\wd0}
+%
+ \apl\getw\bigskip % changed from \null\vfill to \bigskip
+%
+ \centerline{\vbox{%\hbox{\hskip35pt{\sl cmapl10}\hfill}
+% \vskip20pt
+ \hbox{\hskip35pt\lcol0\lcol1\lcol2\lcol3\lcol4\lcol5\lcol6\lcol7}
+ \vskip 4pt
+ \hbox{\hskip35pt\vbox{\hrule width 8\vu}\vbox{\hrule width 3.6pt}}
+ \cellrow{00}\cellrow{01}\cellrow{02}\cellrow{03}
+ \cellrow{04}\cellrow{05}\cellrow{06}\cellrow{07}
+ \cellrow{10}\cellrow{11}\cellrow{12}\cellrow{13}
+ \cellrow{14}\cellrow{15}\cellrow{16}\cellrow{17}}}} % removed \vfill
+% % from the end
+%
+%========================================================================
+% table ends
+%========================================================================
+%
+\section{The necessary \METAFONT\ files}
+The whole process started when the first author had a paper
+containing \APL\ symbols and was disappointed with the
+quality of the symbols available on the typewriter. Moreover,
+the secretary who had typed the text had forgot a couple
+of lines in the middle of the paper, and the correction of
+such mistakes seemed to be very clumsy in comparison with
+modern typesetting. Then he decided (together with the second
+author) to remedy the situation by creating an \APL\ font for
+\TeX\ he was using for other kinds of document. Many of the
+\APL\ symbols needed were contained in standard fonts; for example,
+{\it diamond\/} can be found in {\it cmsy10}. For alphanumeric
+characters one could use {\it cmsltt10}. The simplest try for
+a solution of the problem would be to write a list of definitions
+that pick symbols from appropriate fonts. However, this brute force
+method does not really work since these symbols come from
+very different typefaces and, moreover, do not provide a fixed
+typeface. Hence, we decided to find an easy way of producing
+an \APL\ font by using \METAFONT.
+
+As the starting point, we took the font {\it cmtex10}. This is a
+fixed typeface for an extended typewriter-like font including
+some Greek characters and mathematical symbols. The \METAFONT\ file
+for this font, {\sltt cmtex10.mf\/} contains (as usual) a preamble
+that assigns values to several global variables, and the command
+{\sltt generate textset;\/}. Now the {\sl driver\/} file {\sltt textset.mf\/} %@@@@
+contains the commands {\sltt mode\_setup;font\_setup;\/} %@@@@
+(establishing the values of the variables for this font) and several
+input files from which the \METAFONT\ descriptions of the characters are to
+be found. Since some of these files treat the characters by name and
+since some of the definitions have to be changed (and some dropped),
+we considered it advisable to discard the driver file and to collect
+the separate \METAFONT\ files, together with the preamble, to form a
+large single file {\sltt cmapl10.mf}. The {\sltt .mf\/} character files
+needed for {\sltt cmapl10.mf\/} are the following:
+%
+%
+$$\vbox{\halign{{\sltt#}\hfil && \quad #\hfil\cr
+%
+ greekl & ({\it rho, omega, alpha}) \cr
+ italms & ({\it iota}) \cr
+ romand & (roman digits) \cr
+ punct & (punctuation symbols) \cr
+ romanp & \cr
+ symbol & (math symbols) \cr
+ sym & \cr
+ romanu & (uppercase letters) \cr
+ romanl & (lowercase letters) \cr
+%
+}}$$
+%
+%
+\section{Definitions}
+\choosett{tentt}%
+The first thing to do is to put {\sltt font\_identifier:="CMAPL";\/} %@@@@
+and to set {\sltt slant:=0;\/} in the preamble. Many definitions can %@@@@
+be copied verbatim from the {\sltt .mf\/} files, but some of them
+need changes. The Greek {\it iota}, as given in {\sltt greekl.mf},
+is strange to \APL\ style; we use instead the {\it dotless i\/}
+from {\sltt italms.mf}. Moreover, we used the symbol {\it elt\/}
+(element) from {\sltt sym.mf\/} instead of the Greek {\it epsilon}.
+The symbols {\it del\/} and {\it delta\/} are
+taken from {\sltt symbol.mf\/} (where their names are {\it large triangle\/}
+and {\it large inverted triangle}). However, they are too sturdy
+and too short to be placed in a proper \APL\ font. Further, {\it del\/}
+must be lifted up so that it is vertically aligned with other
+symbols. The modifications are very easy to do, and the modified %@@@@ , by ,and
+definition is shown below.
+%
+%
+\choosett{tentt}
+\begintt
+ % sqrt48 was changed to 6.25 since the del symbol in APL has
+ % a narrower top than the original reversed triangle symbol
+ % rule.nib has been changed to light_rule.nib
+ % bot y3=-d-o has been changed to bot y3=0
+ % top y1=h-d has been changed to top y1=h+2o
+ @null
+ cmchar "Del";
+ beginchar(oct"002",16u#,asc_height#,0);
+ adjust_fit(0,0); pickup light_rule.nib;
+ top y1=h+2o; y2=y1; bot y3=0;
+ .5[x1,x2]=x3=good.x .5w; w:=r:=2x3; lft x1=hround(.5w-u*6.25);
+ draw z1--z2--z3--cycle; % stroke
+ labels(1,2,3); endchar;
+\endtt
+As can be seen from this example, pen strokes were made thinner.
+Actually only one symbol was directly missing---this is the {\it quad
+box}. However, it can be obtained from the above by adding one control point:
+\begintt
+ cmchar "Quad";
+ beginchar(oct"001",16u#,body_height#,0);
+ adjust_fit(0,0); pickup light_rule.nib;
+ bot y1=0; y2=y1; top y3=h+2o; y4=y3;
+ .5[x1,x2]=x5=good.x .5w; w:=r:=2x5;
+ % The quad box is slightly wider than Del
+ lft x1=hround(.5w-u*7);
+ x3=x1; x4=x2;
+ draw z1--z2--z4--z3--cycle; % box
+ labels(1,2,3,4); endchar;
+\endtt
+After taking care of special symbols, the letters can be treated
+by finding a suitable value for {\it tilt ratio\/} (slant). Indeed,
+\APL\ letters are {\sl very\/} slanted. We suggest the value
+1/5 for this font (the font {\it cmsl10\/} uses 1/6). One should
+remember to give the command {\sltt font\_setup;\/} after setting {\sltt slant\/} %@@@@
+to 1/5.
+\choosett{sltt}% %@@@@
+Finally, one has to make the {\it verbatim\/} macros
+suitable for \APL\ style. Since {\it verbatim\/} might be
+used for several different fonts in one document, we decided
+to include a control sequence @\choosett@.
+\choosett{tentt}
+\begintt
+ \def\ifundefined#1{\expandafter\ifx\csname#1\endcsname\relax}
+ \newif\ifapl \def\aplname{apl}
+ \outer\def\choosett#1{\ifundefined{#1}%
+ \message{Undefined font(?), replaced with cmtt10}%
+ \let\tt=\tentt
+ \else
+ \def\tt{\expandafter\csname#1\endcsname}%
+ \def\ttname{#1}%
+ \ifx\ttname\aplname\apltrue\else\aplfalse\fi\fi}
+\endtt
+\choosett{sltt}%
+(The control sequence @\ifundefined@ comes from the \TeX{book}, p.\ 308.)
+With the help of @\choosett@, the standard @verbatim@ macros can be used
+with the single change that @\ifapl@, then the @\catcode@ of @A@,\dots,@Z@
+is @\other@ (12) instead of 11 for {\it letter}. Under \APL\ mode \TeX\
+will then recognize our single-letter control sequences defined, e.g., by
+\choosett{tentt}
+\begintt
+ \def\A#1{\if#1B{\apl\char'174}\else % stile
+ \if#1M{\apl\char'004}\fi\fi} % alpha .
+\endtt
+\choosett{sltt}%
+Unfortunately, we have redefined the standard @\L@, @\O@, @\P@ and @\S@.
+
+The \APL\ symbols not in the font table are obtained---as usual---by
+overstriking two table symbols.
+\choosett{tentt}%
+\begintt
+ \newbox\firstchar\newskip\charwidth
+ \def\overstrike#1#2{\setbox\firstchar=\hbox{#1}\charwidth=\wd\firstchar
+ #1\hskip-\charwidth#2}
+\endtt
+\choosett{apl}%
+For example, the {\it grade up\/} and {\it grade down\/} symbols
+\G U\ and \G D\ are obtained by striking the {\it stile\/} symbol
+@|@ over \L D\ and \D L, respectively.
+\choosett{tentt}%
+\begintt
+ \def\G#1{\if#1U{\overstrike{\LD}{\AB}}\else % grade up
+ \if#1D{\overstrike{\DL}{\AB}}\fi\fi} % grade down
+\endtt
+Now let us take another example on \APL. The input
+\begintt
+ \choosett{apl} % in case some other choice is in force
+ \setbox0=\vbox{\hsize=5.7truein
+ \begintt
+ [0] Z_A1 PROD A2;A;I;V
+ [1] "RETURNS THE PRODUCT OF THE POLYNOMIALS A1 AND A2
+ [2] "THE ARGUMENTS ARE GIVEN AS COEFFICIENT ARRAYS
+ [3] I_@@ROA1
+ [4] Z_A1@@SO.#A2
+ [5] LOOP:V_@@ROZ @@DM V[(@@ROI)+1]-1
+ [6] V_@@ROZ_Z,[(@@ROI)+1]V@@RO0
+ [7] A_(1+-@@IOV[1])@@SO.#((@@NT(@@IO@@ROV)@@EP(1,(@@ROI)+1))/V)@@RO1
+ [8] Z_+/[1]A@@RV[(@@ROI)+1]Z
+ [9] ((@@RO@@ROZ)>@@ROI)/LOOP
+ @endsym
+ }
+ $$\boxit{\boxit{\box0}}$$
+ \centerline{\sevenrm An APL function for polynomial multiplication}
+\endtt
+%
+gives the output
+%
+\choosett{apl}
+\setbox0=\vbox{\hsize=5.7truein
+\begintt
+ [0] Z_A1 PROD A2;A;I;V
+ [1] "RETURNS THE PRODUCT OF THE POLYNOMIALS A1 AND A2
+ [2] "THE ARGUMENTS ARE GIVEN AS COEFFICIENT ARRAYS
+ [3] I_@ROA1
+ [4] Z_A1@SO.#A2
+ [5] LOOP:V_@ROZ @DM V[(@ROI)+1]-1
+ [6] V_@ROZ_Z,[(@ROI)+1]V@RO0
+ [7] A_(1+-@IOV[1])@SO.#((@NT(@IO@ROV)@EP(1,(@ROI)+1))/V)@RO1
+ [8] Z_+/[1]A@RV[(@ROI)+1]Z
+ [9] ((@RO@ROZ)>@ROI)/LOOP
+\endtt
+ }
+$$\boxit{\boxit{\box0}}$$
+\centerline{\sevenrm An APL function for polynomial multiplication}
+%
+\section{User extension}
+A modern user of a computerized typesetting facility will probably
+ask if it is possible to extend or modify fonts coming with the
+system. As with [5], where the font has an {\it analytic\/} and a
+{\it bitmapped\/} variant, we can distinguish between the need of modifying
+{\it cmapl10\/} via \METAFONT\ and modification of the pixel files.
+\APL\ symbols of various ``blackness'' or ``thickness'' may be desirable.
+Indeed, in [3] the user input is written with boldface \APL\ symbols
+and the answers from the interpreter with thin ones. Furthermore,
+certain screen previewers use specific small size pixel files, and
+do not support the \APL\ font.
+
+The modification of the font by changing the values of some global
+variables in the preamble of the \METAFONT\ file is easy and can be
+done by following how it is done in standard fonts such as
+{\it cmbx10\/} etc. This is the recommended way, too. However, if
+\METAFONT\ is not available, then one must attack the pixel files.
+For direct hand editing, we use a program that converts a pixel
+file into a (bitmapped) text file acceptable to any standard screen
+editor, and another program reading the edited file back into
+a \TeX\ pixel file. Scaling fonts down to a desired size can be
+done in a similar (but automatic) manner; this facility is needed
+by a previewer (written by the first author) not using runtime
+scaling.
+
+
+\section{References}
+\bigskip
+{
+\ref Digital Equipment Corporation: VAX-11 \APL\ Reference Manual.-
+ 1983.
+
+\ref Feldberg, Ian: TEXT: Publication-Quality Characters Come
+ to \APL\ Graphics.- Proceedings of the 1986 \APL\ Conference,
+ SIGAPL, pp.\ 306--313.
+
+\ref Gilman, Leonard, and Allen J.\ Rose: \APL, An Interactive
+ Approach.- John Wiley \& Sons, Inc., 1984.
+
+\ref Grenander, Ulf: Mathematical Experiments on the Computer.-
+ Academic Press, 1982.
+
+\ref Howland, John E.: Typesetting \APL\ Using a Macintosh.-
+ Proceedings of the 1986 \APL\ Conference, SIGAPL, pp.\ 301--305.
+
+\ref Iverson, Kenneth: A Programming Language.- Wiley, New York, 1962.
+
+
+ }
+
+\bigskip
+\section{The address}
+\bigskip
+{\ninepoint\obeylines
+\hskip\refskip University of Helsinki
+\hskip\refskip Department of Mathematics
+\hskip\refskip Hallituskatu 15
+\hskip\refskip SF--00100 HELSINKI
+\hskip\refskip FINLAND
+}
+
+\end
+
+
+%============================================================================
+%
+%============================================================================
diff --git a/fonts/apl/versatim.tex b/fonts/apl/versatim.tex
new file mode 100644
index 0000000000..c2ff320a7e
--- /dev/null
+++ b/fonts/apl/versatim.tex
@@ -0,0 +1,66 @@
+
+%=============================================================================
+% V E R S A T I M . T E X
+%=============================================================================
+%
+%
+\newskip\verbatimindent \verbatimindent=0cm
+\newskip\ttglue{\tt \global\ttglue=.5em plus.25em minus.15em}
+\def\@{\char'100 }
+%
+\outer\def\begindisplay{\obeylines\startdisplay}
+{\obeylines\gdef\startdisplay#1
+ {\catcode`\^^M=5$$#1\halign\bgroup&\hskip\verbatimindent##\hfil\cr}}
+\outer\def\enddisplay{\crcr\egroup$$}
+%
+\chardef\other=12
+\def\ttverbatim{\begingroup \catcode`\\=\other \catcode`\{=\other
+ \catcode`\}=\other \catcode`\$=\other \catcode`\&=\other
+ \catcode`\#=\other \catcode`\%=\other \catcode`\~=\other
+ \catcode`\_=\other \catcode`\^=\other\catcode`\*=\other\catcode`\==\other
+%
+\ifapl
+\catcode`\A=12
+\catcode`\B=12
+\catcode`\C=12
+\catcode`\D=12
+\catcode`\E=12
+\catcode`\F=12
+\catcode`\G=12
+\catcode`\H=12
+\catcode`\I=12
+\catcode`\J=12
+\catcode`\K=12
+\catcode`\L=12
+\catcode`\M=12
+\catcode`\N=12
+\catcode`\O=12
+\catcode`\P=12
+\catcode`\Q=12
+\catcode`\R=12
+\catcode`\S=12
+\catcode`\T=12
+\catcode`\U=12
+\catcode`\V=12
+\catcode`\W=12
+\catcode`\X=12
+\catcode`\Y=12
+\catcode`\Z=12
+\fi
+%
+ \obeyspaces \obeylines \tt}
+{\obeyspaces\gdef {\ }}
+%
+\def\begintt{$$\let\par=\endgraf \ttverbatim \parskip=0pt
+ \catcode`\@=0 \parindent=\verbatimindent \rightskip=-5pc \ttfinish}
+{\catcode`\@=0 @catcode`@\=\other % @ is temporary escape character
+ @obeylines % end of line is active
+ @gdef@ttfinish#1^^M#2\endtt{#1@vbox{#2}@endgroup$$}}
+%
+\catcode`\@=\active
+{\obeylines\gdef@{\ttverbatim\spaceskip=\ttglue\let^^M=\ \let@=\endgroup}}
+
+
+\def\beginlines{\par\begingroup\nobreak\medskip\parindent=0pt
+ \kern1pt\nobreak \obeylines \everypar{\strut}}
+\def\endlines{\kern1pt\endgroup\medbreak\noindent}