path: root/doc/slides/outfile.ps

%!PS-Adobe-3.0
%%Creator: Basser Lout Version 3.31 (August 2005)
%%CreationDate: Wed Aug 24 10:27:34 2005
%%DocumentData: Binary
%%DocumentNeededResources: (atend)
%%DocumentSuppliedResources: (atend)
%%DocumentMedia: A4 595 842 0 white ()
%%PageOrder: Ascend
%%LanguageLevel: 2
%%Pages: (atend)
%%BoundingBox: 0 0 595 842
%%EndComments
%%BeginProlog
%%BeginResource: procset LoutStartUp
/save_cp { currentpoint /cp_y exch def /cp_x exch def } def
/restore_cp { cp_x cp_y moveto } def
/outline { gsave 1 1 1 setrgbcolor dup show save_cp
  grestore true charpath stroke restore_cp } bind def
/m  { 3 1 roll moveto show } bind def
/mo { 3 1 roll moveto outline } bind def
/s  { exch currentpoint exch pop moveto show } bind def
/so { exch currentpoint exch pop moveto outline } bind def
/k  { exch neg 0 rmoveto show } bind def
/ko { exch neg 0 rmoveto outline } bind def
/r  { exch 0 rmoveto show } bind def
/ro { exch 0 rmoveto outline } bind def
/c  { gsave 3 1 roll rmoveto show grestore } bind def
/co { gsave 3 1 roll rmoveto outline grestore } bind def
/ul { gsave setlinewidth dup 3 1 roll
      moveto lineto stroke grestore } bind def
/in { 1440 mul } def
/cm { 567 mul } def
/pt { 20 mul } def
/em { 120 mul } def
/sp { louts mul } def
/vs { loutv mul } def
/ft { loutf mul } def
/dg {           } def

/LoutGraphic {
  /louts exch def
  /loutv exch def
  /loutf exch def
  /ymark exch def
  /xmark exch def
  /ysize exch def
  /xsize exch def
} def

/LoutGr2 { gsave translate LoutGraphic gsave } def

/LoutFont
{ findfont exch scalefont setfont
} bind def

/LoutRecode {
  { findfont dup length dict begin
    {1 index /FID ne {def} {pop pop} ifelse} forall
    /Encoding exch def
    currentdict end definefont pop
  }
  stopped pop
} bind def

/LoutStartEPSF { % prepare for EPSF inclusion
  userdict begin
    /PreEPSF_state save def
    /dict_stack countdictstack def
    /ops_count count 1 sub def
    /showpage {} def
    0 setgray 0 setlinecap
    1 setlinewidth 0 setlinejoin
    10 setmiterlimit [] 0 setdash newpath
    /languagelevel where
    { pop languagelevel
      1 ne
      { false setstrokeadjust false setoverprint
      } if
    } if
} bind def

/LoutEPSFCleanUp { % clean up after EPSF inclusion
    count ops_count sub { pop } repeat
    countdictstack dict_stack sub { end } repeat
    PreEPSF_state restore
  end % userdict
} bind def

% Find current texture (may be null)
% - LoutCurrentP p
/LoutCurrentP
{
  currentcolorspace
  0 get /Pattern eq
  {
    [ currentcolor ]
    dup length 1 sub get
  }
  {
    null
  } ifelse
} def

% Find current color and color space
% - LoutCurrentCCS c cs
/LoutCurrentCCS
{
  LoutCurrentP dup null eq
  {
    pop [ currentcolor ]
    currentcolorspace
  }
  {
    dup
    /UnderlyingColor get
    exch /UnderlyingColorSpace get
  } ifelse
} def

% Install c, cs, and (a copy of) p into graphics state
% c cs p LoutSetCCSP -
/LoutSetCCSP
{
  dup null eq
  {
    pop setcolorspace
    aload pop setcolor
  }
  {
    % copy pattern dictionary
    12 dict copy

    % record cs and c in p
    dup /UnderlyingColorSpace 3 index
    put
    dup /UnderlyingColor 4 index
    put

    % do setcolorspace and setcolor
    dup /PaintType get 1 eq
    {
      [ /Pattern ] setcolorspace
      setcolor
      pop pop
    }
    {
      [ /Pattern
      4 -1 roll
      ] setcolorspace
      exch aload length 1 add
      -1 roll
      setcolor
    } ifelse
  } ifelse
} def

% num LoutSetGray -
/LoutSetGray
{
  [ 2 1 roll ]
  [ /DeviceGray ]
  LoutCurrentP
  LoutSetCCSP
} def

% r g b LoutSetRGBColor -
/LoutSetRGBColor
{
  [ 4 1 roll ]
  [ /DeviceRGB ]
  LoutCurrentP
  LoutSetCCSP
} def

% h s b LoutSetHSBColor -
/LoutSetHSBColor
{
  gsave sethsbcolor
  currentrgbcolor grestore
  LoutSetRGBColor
} def

% c m y k LoutSetRGBColor -
/LoutSetCMYKColor
{
  [ 5 1 roll ]
  [ /DeviceCMYK ]
  LoutCurrentP
  LoutSetCCSP
} def

% p LoutSetTexture -
/LoutSetTexture
{
  LoutCurrentCCS
  3 -1 roll
  LoutSetCCSP
} def

% <scale > <scalex> <scaley> <rotate> <hshift> <vshift>
% <painttype> <bbox> <xstep> <ystep> <paintproc> LoutMakeTexture p
/LoutMakeTexture
{
  12 dict begin
  /PaintProc exch def
  /YStep exch def
  /XStep exch def
  /BBox exch def
  /PaintType exch def
  /PatternType 1 def
  /TilingType 1 def
  currentdict end
  7 1 roll
  matrix translate
  5 1 roll
  matrix rotate
  4 1 roll
  matrix scale
  exch dup matrix scale
  matrix concatmatrix
  matrix concatmatrix
  matrix concatmatrix
  /makepattern where
  {
    pop makepattern
  }
  {
    pop pop null
  } ifelse
} def

/LoutTextureSolid
{
  null
  LoutSetTexture
} def
%%EndResource

%%BeginResource: procset LoutTabPrependGraphic
% @PrependGraphic file /home/jeff/lout.lib/include/tabf.lpg
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                  %
%  PostScript @SysPrependGraphic file for @Tab     %
%                                                  %
%  To assist in avoiding name clashes, the names   %
%  of all these symbols begin with "ltab".         %
%                                                  %
%  Jeffrey H. Kingston                             %
%  24 September 1991                               %
%  22 December 1992                                %
%                                                  %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% linewidth ltabhs -
% horizontal single line
/ltabhs
{  0 0 moveto xsize 0 lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabhsp -
% horizontal single line with projecting ends
/ltabhsp
{  0 0 moveto xsize 0 lineto
   setlinewidth 2 setlinecap stroke
} def

% linewidth ltabhd -
% horizontal double line
/ltabhd
{  dup dup
   0 0 moveto xsize 0 lineto
   0 exch 3 mul moveto xsize exch 3 mul lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabhdb -
% horizontal double line below mark
/ltabhdb
{  dup dup
   0 0 moveto xsize 0 lineto
   0 exch -3 mul moveto xsize exch -3 mul lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabhdnw -
% horizontal double line with northwest corner
/ltabhdnw
{  dup dup dup dup
   0 0 moveto xsize 0 lineto
   xsize exch 3 mul moveto
   -3 mul exch 3 mul lineto
   -3 mul 0 lineto
   setlinewidth 0 setlinejoin 2 setlinecap stroke
} def

% linewidth ltabhdne -
% horizontal double line with northeast corner
/ltabhdne
{  dup dup dup dup
   0 0 moveto xsize 0 lineto
   0 exch 3 mul moveto
   3 mul xsize add exch 3 mul lineto
   3 mul xsize add 0 lineto
   setlinewidth 0 setlinejoin 2 setlinecap stroke
} def

% linewidth ltabhdsw -
% horizontal double line with southwest corner
/ltabhdsw
{  dup dup dup dup
   0 0 moveto xsize 0 lineto
   xsize exch -3 mul moveto
   -3 mul exch -3 mul lineto
   -3 mul 0 lineto
   setlinewidth 0 setlinejoin 2 setlinecap stroke
} def

% linewidth ltabhdse -
% horizontal double line with southeast corner
/ltabhdse
{  dup dup dup dup
   0 0 moveto xsize 0 lineto
   0 exch -3 mul moveto
   3 mul xsize add exch -3 mul lineto
   3 mul xsize add 0 lineto
   setlinewidth 0 setlinejoin 2 setlinecap stroke
} def

% linewidth ltabvs -
% vertical single line
/ltabvs
{  0 0 moveto 0 ysize lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabvd -
% vertical double line
/ltabvd
{  dup dup
   0 0 moveto 0 ysize lineto
   -3 mul 0 moveto -3 mul ysize lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabvdr -
% vertical double line to right of mark
/ltabvdr
{  dup dup
   0 0 moveto 0 ysize lineto
   3 mul 0 moveto 3 mul ysize lineto
   setlinewidth 0 setlinecap stroke
} def
%%EndResource

%%BeginResource: procset LoutFigPrependGraphic
% @PrependGraphic file /home/jeff/lout.lib/include/figf.lpg
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                    %
%  PostScript @SysPrependGraphic file for @Fig  Jeffrey H. Kingston  %
%  Version 2.0 (includes CIRCUM label)                 January 1992  %
%                                                                    %
%  Although Fig is now obsolete I have updated it 20 October 2002    %
%  to work with textures, i.e. replacing setrgbcolor with            %
%  LoutSetRGBColor.                                                  %
%                                                                    %
%  To assist in avoiding name clashes, the names of all symbols      %
%  defined here begin with "lfig".  However, this is not feasible    %
%  with user-defined labels and some labels used by users.           %
%                                                                    %
%  <point>      is two numbers, a point.                             %
%  <length>     is one number, a length                              %
%  <angle>      is one number, an angle in degrees                   %
%  <dashlength> is one number, the preferred length of a dash        %
%                                                                    %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

errordict begin
   /handleerror
   {
      {  /Times-Roman findfont 8 pt scalefont setfont
	 0 setgray 4 pt 4 pt moveto
	 $error /errorname get
	 dup lfigdict exch known
	 { lfigdict exch get }
	 { 30 string cvs } ifelse
	 show
	 (  Command: ) show
	 $error /command get 30 string cvs show
      } stopped {} if
      showpage stop
   } def
end

% concat strings: <string> <string> lfigconcat <string>
% must be defined outside lfigdict since used in lfigpromotelabels
/lfigconcat
{ 2 copy length exch length add string
  dup 0 4 index putinterval
  dup 3 index length 3 index putinterval
  3 1 roll pop pop
} def

% <string> lfigdebugprint -
% must be defined outside lfigdict since used in arbitrary places
% /lfigdebugprint
% { print
%   (;  operand stack:\n) print
%   count copy
%   count 2 idiv
%   { ==
%     (\n) print
%   } repeat
%   (\n) print
% } def

/lfigdict 120 dict def
lfigdict begin

% error messages
/dictfull (dictfull error:  too many labels?) def
/dictstackoverflow (dictstackoverflow error:  labels nested too deeply?) def
/execstackoverflow (execstackoverflow error:  figure nested too deeply?) def
/limitcheck (limitcheck error:  figure nested too deeply or too large?) def
/syntaxerror (syntaxerror error:  syntax error in text of figure?) def
/typecheck (typecheck error:  syntax error in text of figure?) def
/undefined (undefined error:  unknown or misspelt label?) def
/VMError (VMError error:  run out of memory?) def

% push pi onto stack:  - lfigpi <num>
/lfigpi 3.14159 def

% arc directions
/clockwise     false def
/anticlockwise true  def

% maximum of two numbers:  <num> <num> lfigmax <num>
/lfigmax { 2 copy gt { pop } { exch pop } ifelse } def

% minimum of two numbers:  <num> <num> lfigmin <num>
/lfigmin { 2 copy lt { pop } { exch pop } ifelse } def

% add two points:  <point> <point> lfigpadd <point>
/lfigpadd { exch 3 1 roll add 3 1 roll add exch } def

% subtract first point from second:  <point> <point> lfigpsub <point>
/lfigpsub { 3 2 roll sub 3 1 roll exch sub exch } def

% max two points:  <point> <point> lfigpmax <point>
/lfigpmax { exch 3 1 roll lfigmax 3 1 roll lfigmax exch } def

% min two points:  <point> <point> lfigpmin <point>
/lfigpmin { exch 3 1 roll lfigmin 3 1 roll lfigmin exch } def

% scalar multiplication: <point> <num> lfigpmul <point>
/lfigpmul { dup 3 1 roll mul 3 1 roll mul exch } def

% point at angle and distance:  <point> <length> <angle> lfigatangle <point>
/lfigatangle { 2 copy cos mul 3 1 roll sin mul lfigpadd } def

% angle from one point to another:  <point> <point> lfigangle <angle>
/lfigangle { lfigpsub 2 copy 0 eq exch 0 eq and {pop} {exch atan} ifelse } def

% distance between two points:  <point> <point> lfigdistance <length>
/lfigdistance { lfigpsub dup mul exch dup mul add sqrt } def

% difference in x coords: <point> <point> lfigxdistance <length>
/lfigxdistance { pop 3 1 roll pop sub } def

%difference in y coords: <point> <point> lfigydistance <length>
/lfigydistance { 3 1 roll pop sub exch pop } def

% stroke a solid line:  <length> <dashlength> lfigsolid -
/lfigsolid
{  pop pop [] 0 setdash stroke
} def

% stroke a lfigdashed line:   <length> <dashlength> lfigdashed -
/lfigdashed
{  2 copy div 2 le 1 index 0 le or
   {  exch pop 1 pt lfigmax [ exch dup ] 0 setdash }
   {  dup [ exch 4 2 roll 2 copy div
      1 sub 2 div ceiling dup 4 1 roll
      1 add mul sub exch div ] 0 setdash
   } ifelse stroke
} def

% stroke a lfigcdashed line:  <length> <dashlength> lfigcdashed -
/lfigcdashed
{  2 copy le 1 index 0 le or
   { exch pop 1 pt lfigmax [ exch dup ] dup 0 get 2 div setdash }
   { dup [ 4 2 roll exch 2 copy exch div
     2 div ceiling div 1 index sub
     ] exch 2 div setdash
   } ifelse stroke
} def

% stroke a dotted line:  <length> <dashlength> lfigdotted -
/lfigdotted
{  2 copy le 1 index 0 le or
   { exch pop 1 pt lfigmax [ exch 0 exch ] 0 setdash }
   { 1 index exch div ceiling div
     [ 0 3 2 roll ] 0 setdash
   } ifelse stroke
} def

% stroke a noline line:  <length> <dashlength> lfignoline -
/lfignoline
{ pop pop
} def

% painting (i.e. filling): - lfigwhite - (etc.)
/lfignopaint		{			           } def
/lfignochange		{ 			      fill } def
/lfigdarkblue		{ 0.0 0.0 0.5 LoutSetRGBColor fill } def
/lfigblue		{ 0.0 0.0 1.0 LoutSetRGBColor fill } def
/lfiglightblue		{ 0.5 0.5 1.0 LoutSetRGBColor fill } def
/lfigdarkgreen		{ 0.0 0.5 0.0 LoutSetRGBColor fill } def
/lfiggreen		{ 0.0 1.0 0.0 LoutSetRGBColor fill } def
/lfiglightgreen		{ 0.5 1.0 0.5 LoutSetRGBColor fill } def
/lfigdarkred		{ 0.5 0.0 0.0 LoutSetRGBColor fill } def
/lfigred		{ 1.0 0.0 0.0 LoutSetRGBColor fill } def
/lfiglightred		{ 1.0 0.5 0.5 LoutSetRGBColor fill } def
/lfigdarkcyan		{ 0.0 0.5 0.5 LoutSetRGBColor fill } def
/lfigcyan		{ 0.0 1.0 1.0 LoutSetRGBColor fill } def
/lfiglightcyan		{ 0.5 1.0 1.0 LoutSetRGBColor fill } def
/lfigdarkmagenta	{ 0.5 0.0 0.5 LoutSetRGBColor fill } def
/lfigmagenta		{ 1.0 0.0 1.0 LoutSetRGBColor fill } def
/lfiglightmagenta	{ 1.0 0.5 1.0 LoutSetRGBColor fill } def
/lfigdarkyellow		{ 0.5 0.5 0.0 LoutSetRGBColor fill } def
/lfigyellow		{ 1.0 1.0 0.0 LoutSetRGBColor fill } def
/lfiglightyellow	{ 1.0 1.0 0.5 LoutSetRGBColor fill } def
/lfigdarkgray		{ 0.2 0.2 0.2 LoutSetRGBColor fill } def
/lfiggray		{ 0.5 0.5 0.5 LoutSetRGBColor fill } def
/lfiglightgray		{ 0.8 0.8 0.8 LoutSetRGBColor fill } def
/lfigdarkgrey		{ 0.2 0.2 0.2 LoutSetRGBColor fill } def
/lfiggrey		{ 0.5 0.5 0.5 LoutSetRGBColor fill } def
/lfiglightgrey		{ 0.8 0.8 0.8 LoutSetRGBColor fill } def
/lfigblack		{ 0.0 0.0 0.0 LoutSetRGBColor fill } def
/lfigwhite		{ 1.0 1.0 1.0 LoutSetRGBColor fill } def

% line caps (and joins, not currently used)
/lfigbutt       0 def
/lfiground      1 def
/lfigprojecting 2 def
/lfigmiter      0 def
/lfigbevel      2 def

% shape and labels of the @Box symbol
/lfigbox
{
   0     0     /SW  lfigpointdef
   xsize 0     /SE  lfigpointdef
   xsize ysize /NE  lfigpointdef
   0     ysize /NW  lfigpointdef
   SE 0.5 lfigpmul /S   lfigpointdef
   NW 0.5 lfigpmul /W   lfigpointdef
   W SE lfigpadd   /E   lfigpointdef
   S NW lfigpadd   /N   lfigpointdef
   NE 0.5 lfigpmul /CTR lfigpointdef
   [ CTR NE lfigpsub /lfigboxcircum cvx ] lfigcircumdef
   SW SE NE NW SW
} def

% shape and labels of the @CurveBox symbol
/lfigcurvebox
{

   xsize 0.5 mul	ysize 0.5 mul	/CTR lfigpointdef
   xsize 0.5 mul	0		/S   lfigpointdef
   xsize		ysize 0.5 mul	/E   lfigpointdef
   xsize 0.5 mul	ysize		/N   lfigpointdef
   0			ysize 0.5 mul	/W   lfigpointdef

   xmark 0.293 mul		xmark 0.293 mul		  /SW  lfigpointdef
   xsize xmark 0.293 mul sub	xmark 0.293 mul		  /SE  lfigpointdef
   xsize xmark 0.293 mul sub	ysize xmark 0.293 mul sub /NE  lfigpointdef
   xmark 0.293 mul		ysize xmark 0.293 mul sub /NW  lfigpointdef

   [ xsize ysize 0.5 lfigpmul xmark /lfigcurveboxcircum cvx ] lfigcircumdef

   xmark		0
   xsize xmark sub	0
   [ xsize xmark sub	xmark		]
   xsize		xmark
   xsize		ysize xmark sub
   [ xsize xmark sub	ysize xmark sub	]
   xsize xmark sub	ysize
   xmark		ysize
   [ xmark		ysize xmark sub	]
   0			ysize xmark sub
   0			xmark
   [ xmark		xmark		]
   xmark		0
} def

% shadow of the @ShadowBox symbol
% its shape and labels are done, somewhat inaccurately, with lfigbox
/lfigshadow
{ xmark 2 mul 0 moveto xsize 0 lineto
  xsize ysize xmark 2 mul sub lineto
  xsize xmark sub ysize xmark 2 mul sub lineto
  xsize xmark sub xmark lineto
  xmark 2 mul xmark lineto closepath fill
} def

% shape and labels of the @Square symbol
/lfigsquare
{
   xsize ysize 0.5 lfigpmul /CTR lfigpointdef
   CTR xsize xsize ysize ysize lfigpmax 0.5 lfigpmul lfigpadd /NE lfigpointdef
   CTR 0 0 CTR NE lfigdistance 135 lfigatangle lfigpadd /NW lfigpointdef
   CTR 0 0 CTR NE lfigdistance 225 lfigatangle lfigpadd /SW lfigpointdef
   CTR 0 0 CTR NE lfigdistance 315 lfigatangle lfigpadd /SE lfigpointdef
   SW 0.5 lfigpmul SE 0.5 lfigpmul lfigpadd /S lfigpointdef
   NW 0.5 lfigpmul NE 0.5 lfigpmul lfigpadd /N lfigpointdef
   SW 0.5 lfigpmul NW 0.5 lfigpmul lfigpadd /W lfigpointdef
   SE 0.5 lfigpmul NE 0.5 lfigpmul lfigpadd /E lfigpointdef
   [ CTR NE lfigpsub /lfigboxcircum cvx ] lfigcircumdef
   SW SE NE NW SW
} def

% shape and labels of the @Diamond symbol
/lfigdiamond
{
   xsize 0 0.5 lfigpmul /S   lfigpointdef
   0 ysize 0.5 lfigpmul /W   lfigpointdef
   S W         lfigpadd /CTR lfigpointdef
   CTR W       lfigpadd /N   lfigpointdef
   CTR S       lfigpadd /E   lfigpointdef
   [ xsize ysize 0.5 lfigpmul /lfigdiamondcircum cvx ] lfigcircumdef
   S E N W S
} def

% shape and labels of the @Ellipse symbol
/lfigellipse
{
   xsize 0 0.5 lfigpmul /S   lfigpointdef
   0 ysize 0.5 lfigpmul /W   lfigpointdef
   S W         lfigpadd /CTR lfigpointdef
   CTR W       lfigpadd /N   lfigpointdef
   CTR S       lfigpadd /E   lfigpointdef
   CTR xsize 0 0.3536 lfigpmul lfigpadd 0 ysize 0.3536 lfigpmul lfigpadd /NE lfigpointdef
   0 ysize 0.3536 lfigpmul CTR xsize 0 0.3536 lfigpmul lfigpadd lfigpsub /SE lfigpointdef
   xsize 0 0.3536 lfigpmul CTR lfigpsub 0 ysize 0.3536 lfigpmul lfigpadd /NW lfigpointdef
   0 ysize 0.3536 lfigpmul xsize 0 0.3536 lfigpmul CTR lfigpsub lfigpsub /SW lfigpointdef
   [ xsize ysize 0.5 lfigpmul /lfigellipsecircum cvx ] lfigcircumdef
   S [ CTR ] E [ CTR ] N [ CTR ] W [ CTR ] S
} def

% shape and labels of the @Circle symbol
/lfigcircle
{
   xsize ysize 0.5 lfigpmul /CTR lfigpointdef
   CTR xsize 0 ysize 0 lfigpmax 0.5 lfigpmul lfigpadd /E lfigpointdef
   CTR 0 0 CTR E lfigdistance 45 lfigatangle lfigpadd /NE lfigpointdef
   CTR 0 0 CTR E lfigdistance 90 lfigatangle lfigpadd /N lfigpointdef
   CTR 0 0 CTR E lfigdistance 135 lfigatangle lfigpadd /NW lfigpointdef
   CTR 0 0 CTR E lfigdistance 180 lfigatangle lfigpadd /W lfigpointdef
   CTR 0 0 CTR E lfigdistance 225 lfigatangle lfigpadd /SW lfigpointdef
   CTR 0 0 CTR E lfigdistance 270 lfigatangle lfigpadd /S lfigpointdef
   CTR 0 0 CTR E lfigdistance 315 lfigatangle lfigpadd /SE lfigpointdef
   [ S E lfigpsub /lfigellipsecircum cvx ] lfigcircumdef
   S [ CTR ] E [ CTR ] N [ CTR ] W [ CTR ] S
} def

% shape and labels of the @HLine and @HArrow symbols
/lfighline
{
   0 ymark lfigprevious /FROM lfigpointdef
   xsize ymark lfigprevious /TO lfigpointdef
} def

% shape and labels of the @VLine and @VArrow symbols
/lfigvline
{
   xmark ysize lfigprevious /FROM lfigpointdef
   xmark 0 lfigprevious /TO lfigpointdef
} def

% points of a polygon around base with given no of sides, vert init angle:
% <sides> <angle> figpolygon <point> ... <point>
/lfigpolygon
{  xsize ysize 0.5 lfigpmul /CTR lfigpointdef
   90 sub CTR 2 copy lfigmax 5 3 roll
   [ 4 copy pop /lfigpolycircum cvx ] lfigcircumdef
   exch dup 360 exch div exch
   1 1  3 2 roll
   {  4 string cvs (P) exch lfigconcat cvn
      6 copy pop pop lfigatangle 2 copy 10 2 roll
      3 2 roll lfigpointdef
      dup 3 1 roll add exch
   }  for
   pop lfigatangle
} def

% next array element:  <array> <index> lfiggetnext <array> <index> <any> true
%                                               or <array> <index> false
/lfiggetnext
{  2 copy exch length ge
   { false }
   { 2 copy get exch 1 add exch true } ifelse
} def

% check whether thing is number:  <any> lfigisnumbertype <any> <bool>
/lfigisnumbertype
{  dup type dup
   /integertype eq exch /realtype eq or
} def

% check whether thing is an array:  <any> lfigisarraytype <any> <bool>
/lfigisarraytype { dup type /arraytype eq } def

% get next item:  <array> <index> lfiggetnextitem <array> <index> 0
%                                              or <array> <index> <array> 1
%                                              or <array> <index> <point> 2
/lfiggetnextitem
{   lfiggetnext
    {	lfigisarraytype
	{   1
	}
	{   lfigisnumbertype
	    {	3 1 roll
		lfiggetnext
		{   lfigisnumbertype
		    {	4 3 roll exch  2
		    }
		    {	pop 3 2 roll pop  0
		    } ifelse
		}
		{   3 2 roll pop  0
		} ifelse
	    }
	    {	pop 0
	    } ifelse
	} ifelse
    }
    {	0
    } ifelse
} def

% set arc path:  bool x1 y1  x2 y2  x0 y0  lfigsetarc  <angle> <angle> <dist>
% the path goes from x1 y1 to x2 y2 about centre x0 y0,
% anticlockwise if bool is true else clockwise.
% The orientations of backwards pointing and forwards pointing
% arrowheads are returned in the two angles, and
% the length of the arc is returned in <dist>.
/lfigsetarc
{
  20 dict begin
     matrix currentmatrix 8 1 roll
     2 copy translate 2 copy 8 2 roll
     4 2 roll lfigpsub 6 2 roll lfigpsub
     dup /y1 exch def dup mul /y1s exch def
     dup /x1 exch def dup mul /x1s exch def
     dup /y2 exch def dup mul /y2s exch def
     dup /x2 exch def dup mul /x2s exch def

     y1s y2s eq
     {	-1
     }
     {	y1s x2s mul y2s x1s mul sub y1s y2s sub div
     } ifelse
     /da exch def

     x1s x2s eq
     {	-1
     }
     {	x1s y2s mul x2s y1s mul sub x1s x2s sub div
     } ifelse
     /db exch def

     da 0 gt db 0 gt and
     {	/LMax da sqrt db sqrt lfigmax def
	/scalex da sqrt LMax div def
	/scaley db sqrt LMax div def
	scalex scaley scale
	0 0 LMax
	0 0 x1 scalex mul y1 scaley mul lfigangle
	0 0 x2 scalex mul y2 scaley mul lfigangle
	2 copy eq { 360 add } if
	2 copy 8 2 roll
	5 index { arc } { arcn } ifelse
	2 index 1 index
	{ 90 sub } { 90 add } ifelse
	dup sin scaley mul exch cos scalex mul atan
	2 index 2 index
	{ 90 add } { 90 sub } ifelse
	dup sin scaley mul exch cos scalex mul atan
	5 2 roll  % res1 res2 ang1 ang2 anticlockwise
	{ exch sub } { sub } ifelse
	dup 0 le { 360 add } if  lfigpi mul LMax mul 180 div
     }
     {	0 0 x1 y1 lfigdistance 0 0 x2 y2 lfigdistance eq
	0 0 x1 y1 lfigdistance 0 gt and
	{	0 0
		0 0 x1 y1 lfigdistance
		0 0 x1 y1 lfigangle
		0 0 x2 y2 lfigangle
		2 copy eq { 360 add } if
		2 copy 8 2 roll
		5 index { arc } { arcn } ifelse
		2 index 1 index
		{ 90 sub } { 90 add } ifelse
		2 index 2 index
		{ 90 add } { 90 sub } ifelse
		5 2 roll % res1 res2 ang1 ang2 clockwise
		{ exch sub } { sub } ifelse
		dup 0 le { 360 add } if lfigpi mul 0 0 x1 y1 lfigdistance mul 180 div
	}
	{	x2 y2 lineto pop
		x2 y2 x1 y1 lfigangle
		x1 y1 x2 y2 lfigangle
		x1 y1 x2 y2 lfigdistance
	} ifelse
     } ifelse
     4 -1 roll setmatrix
   end
} def

% lfigsetcurve: set up a Bezier curve from x0 y0 to x3 y3
% and return arrowhead angles and length of curve (actually 0)
% x0 y0 x1 y1 x2 y2 x3 y3 lfigsetcurve <angle> <angle> <length>
/lfigsetcurve
{ 8 copy curveto pop pop
  lfigangle
  5 1 roll
  4 2 roll lfigangle
  exch
  0
} def

% lfigpaintpath: paint a path of the given shape
% /paint [ shape ] lfigpaintpath -
/lfigpaintpath
{
  10 dict begin
    0 newpath
    /prevseen false def
    /curveseen false def
    { lfiggetnextitem
      dup 0 eq { pop exit }
      { 1 eq
        { /curveseen true def
	  /curve exch def
	  curve length 0 eq { /curveseen false def } if
        }
        { /ycurr exch def
	  /xcurr exch def
	  prevseen
	  { curveseen
	    { curve length 4 eq
	      { xprev yprev
		curve 0 get curve 1 get
		curve 2 get curve 3 get
		xcurr ycurr
		lfigsetcurve pop pop pop
	      }
	      { xprev yprev xcurr ycurr
	        curve length 1 ge { curve 0 get } { 0 } ifelse
	        curve length 2 ge { curve 1 get } { 0 } ifelse
	        curve length 3 ge { curve 2 get } { true } ifelse
	        7 1 roll
	        lfigsetarc pop pop pop
	      } ifelse
	    }
	    { xcurr ycurr lineto
	    } ifelse
	  }
	  { xcurr ycurr moveto
	  } ifelse
	  /xprev xcurr def
	  /yprev ycurr def
	  /prevseen true def
	  /curveseen false def
        } ifelse
      } ifelse
    } loop pop pop cvx exec
  end
} def

% stroke a path of the given shape in the given linestyle and dash length.
% Return the origin and angle of the backward and forward arrow heads.
% dashlength /linestyle [shape] lfigdopath  [<point> <angle>] [<point> <angle>] 
/lfigdopath
{
  10 dict begin
    0
    /prevseen  false def
    /curveseen false def
    /backarrow []    def
    /fwdarrow  []    def
    {
	lfiggetnextitem
	dup 0 eq { pop exit }
	{
	    1 eq
	    {	/curveseen true def
		/curve exch def
		curve length 0 eq { /prevseen false def } if
	    }
	    {	/ycurr exch def
		/xcurr exch def
		prevseen
		{   newpath xprev yprev moveto
		    curveseen
		    {	curve length 4 eq
			{   xprev yprev
			    curve 0 get curve 1 get
			    curve 2 get curve 3 get
			    xcurr ycurr lfigsetcurve
			}
			{   xprev yprev xcurr ycurr
			    curve length 1 ge { curve 0 get } { 0 } ifelse
			    curve length 2 ge { curve 1 get } { 0 } ifelse
			    curve length 3 ge { curve 2 get } { true } ifelse
			    7 1 roll
			    lfigsetarc
			} ifelse
		    }
		    {	xcurr ycurr lineto
			xcurr ycurr xprev yprev lfigangle dup 180 sub
			xprev yprev xcurr ycurr lfigdistance
		    } ifelse
		    6 index 6 index cvx exec
		    [ xprev yprev 5 -1 roll ]
		    backarrow length 0 eq
		    { /backarrow exch def }
		    { pop } ifelse
		    [ xcurr ycurr 4 -1 roll ] /fwdarrow exch def
		} if
		/xprev xcurr def
		/yprev ycurr def
		/prevseen true def
		/curveseen false def
	    } ifelse
	} ifelse
    } loop
    pop pop pop pop
    backarrow length 0 eq { [ 0 0 0 ] } { backarrow } ifelse
    fwdarrow  length 0 eq { [ 0 0 0 ] } { fwdarrow  } ifelse
  end
} def

% lfigdoarrow: draw an arrow head of given form
% dashlength /lstyle /pstyle hfrac height width [ <point> <angle> ] lfigdoarrow -
/lfigdoarrow
{  matrix currentmatrix 8 1 roll
   dup 0 get 1 index 1 get translate
   2 get rotate
   [ 2 index neg 2 index 0 0
     3 index 3 index neg
     1 index 10 index mul 0
     7 index 7 index ]
   4 1 roll pop pop pop
   dup 3 1 roll
   gsave lfigpaintpath grestore lfigdopath pop pop
   setmatrix
} def

% arrow head styles
/lfigopen     0.0 def
/lfighalfopen 0.5 def
/lfigclosed   1.0 def

% stroke no arrows, forward, back, and both
/lfignoarrow { pop pop pop pop pop pop pop pop                        } def
/lfigforward { 7 -1 roll lfigdoarrow pop                              } def
/lfigback    { 8 -2 roll pop lfigdoarrow                              } def
/lfigboth    { 8 -1 roll 7 copy lfigdoarrow pop 7 -1 roll lfigdoarrow } def

% lfigprevious: return previous point on path
/lfigprevious
{ lfigisnumbertype
  { 2 copy }
  { lfigisarraytype
    { 2 index 2 index }
    { 0 0 }
    ifelse
  } ifelse
} def

% label a point in 2nd top dictionary:  <point> /name lfigpointdef -
/lfigpointdef
{
  % (Entering lfigpointdef) lfigdebugprint
  [ 4 2 roll transform
    /itransform cvx ] cvx
    currentdict end
    3 1 roll
    % currentdict length currentdict maxlength lt
    % { def }
    % { exec moveto (too many labels) show stop }
    % ifelse
    def
    begin
  % (Leaving lfigpointdef) lfigdebugprint
} def

% promote labels from second top to third top dictionary
% <string> lfigpromotelabels -
/lfigpromotelabels
{
  % (Entering lfigpromotelabels) lfigdebugprint
  currentdict end exch currentdict end
  { exch 20 string cvs 2 index
    (@) lfigconcat exch lfigconcat cvn exch def
  } forall pop begin
  % (Leaving lfigpromotelabels) lfigdebugprint
} def

% show labels (except CIRCUM): - lfigshowlabels -
/lfigshowlabels
{
  % (Entering lfigshowlabels) lfigdebugprint
  currentdict end
    currentdict
    { 1 index 20 string cvs (CIRCUM) search % if CIRCUM in key
      { pop pop pop pop pop }
      { pop cvx exec 2 copy
        newpath 1.5 pt 0 360 arc
        0 setgray fill
        /Times-Roman findfont 8 pt scalefont setfont
        moveto 0.2 cm 0.1 cm rmoveto 20 string cvs show
      }
      ifelse
    } forall
  begin
  % (Leaving lfigshowlabels) lfigdebugprint
} def

% fix an angle to 0 <= res < 360:  <angle> lfigfixangle <angle>
/lfigfixangle
{
  % (Entering lfigfixangle) lfigdebugprint
  { dup 0 ge { exit } if
    360 add
  } loop
  { dup 360 lt { exit } if
    360 sub
  } loop
  % (Leaving lfigfixangle) lfigdebugprint
} def

% find point on circumference of box:  alpha a b lfigboxcircum x y
/lfigboxcircum
{
  % (Entering lfigboxcircum) lfigdebugprint
  4 dict begin
    /b exch def
    /a exch def
    lfigfixangle /alpha exch def
    0 0 a b lfigangle /theta exch def

    % if alpha <= theta, return (a, a*tan(alpha))
    alpha theta le
    { a  a alpha sin mul alpha cos div }
    {
      % else if alpha <= 180 - theta, return (b*cot(alpha), b)
      alpha 180 theta sub le
      { b alpha cos mul alpha sin div  b }
      {
        % else if alpha <= 180 + theta, return (-a, -a*tan(alpha))
        alpha 180 theta add le
        { a neg  a neg alpha sin mul alpha cos div }
        {
	  % else if alpha <= 360 - theta, return (-b*cot(alpha), -b)
	  alpha 360 theta sub le
          { b neg alpha cos mul alpha sin div  b neg }
	  {
	    % else 360 - theta <= alpha, return (a, a*tan(alpha))
	    a  a alpha sin mul alpha cos div
	  } ifelse
        } ifelse
      } ifelse
    } ifelse
  end
  % (Leaving lfigboxcircum) lfigdebugprint
} def

% find quadratic roots (assume a != 0): a b c lfigqroots x1 x2 2
%                                                     or    x2 1
%                                                     or       0
/lfigqroots
{
  4 dict begin
    /c exch def
    /b exch def
    /a exch def
    /disc b b mul 4 a c mul mul sub def
    disc 0 lt
    { 0
    }
    { disc 0 eq
      { b neg 2 a mul div
	1
      }
      { b neg disc sqrt add 2 a mul div
        b neg disc sqrt sub 2 a mul div
	2
      }
      ifelse
    }
    ifelse
  end
} def

% work our which quadrant: <angle> lfigquadrant <0-3>
/lfigquadrant
{ dup 90 lt
  { pop 0
  }
  { dup 180 lt
    { pop 1
    }
    { 270 lt
      { 2
      }
      { 3
      } ifelse
    } ifelse
  } ifelse
} def

% find curvebox circum, assuming upper right quadrant: alpha a b xmk lfigcb x y
/lfigcb
{
  6 dict begin
    /xmk exch def
    /b exch def
    /a exch def
    /alpha exch def
    /theta1 0 0 a b xmk sub lfigangle def
    /theta2 0 0 a xmk sub b lfigangle def
    alpha theta1 le
    { % if alpha <= theta1, return (a, a*tan(alpha))
      a  a alpha sin mul alpha cos div
    }
    { alpha theta2 ge
      { % else if alpha > theta2, return (b*cot(alpha), b)
	b alpha cos mul alpha sin div  b
      }
      {
	% else, return the intersection of line and circle
	a xmk sub b xmk sub xmk  0 0 alpha lfigcircleintersect
	dup 0 eq
	{ % should never happen, just return any reasonable point
	  pop
	  a b 0.5 lfigpmul
	}
	{ 1 eq
	  { % should never happen, just return the point on top of stack
	  }
	  { % the usual case, two points on stack, return the larger
	    lfigpmax
	  } ifelse
	} ifelse
      } ifelse
    } ifelse
  end
} def

% find point on circumference of curvebox: alpha a b xmk lfigcurveboxcircum x y
/lfigcurveboxcircum
{
  % (Entering lfigcurveboxcircum) lfigdebugprint
  5 dict begin
    /xmk exch def
    /b exch def
    /a exch def
    lfigfixangle /alpha exch def

    % work out which quadrant we are in, and reflect accordingly
    /quad alpha lfigquadrant def
    quad 0 eq
    { alpha a b xmk lfigcb
    }
    { quad 1 eq
      { 180 alpha sub a b xmk lfigcb exch neg exch
      }
      { quad 2 eq
	{ alpha 180 sub a b xmk lfigcb neg exch neg exch
	}
	{ 360 alpha sub a b xmk lfigcb neg
	} ifelse
      } ifelse
    } ifelse
  end
  % (Leaving lfigcurveboxcircum) lfigdebugprint
} def

% find point on circumference of diamond:  alpha a b lfigdiamondcircum x y
/lfigdiamondcircum
{
  % (Entering lfigdiamondcircum) lfigdebugprint
  4 dict begin
    /b exch def
    /a exch def
    lfigfixangle /alpha exch def
    b alpha cos abs mul  a alpha sin abs mul  add  /denom exch def
    a b mul alpha cos mul denom div
    a b mul alpha sin mul denom div
  end
  % (Leaving lfigdiamondcircum) lfigdebugprint
} def

% find point on circumference of ellipse:  alpha a b lfigellipsecircum x y
/lfigellipsecircum
{
  % (Entering lfigellipsecircum) lfigdebugprint
  4 dict begin
    /b exch def
    /a exch def
    lfigfixangle /alpha exch def
    b alpha cos mul dup mul  a alpha sin mul dup mul  add sqrt /denom exch def
    a b mul alpha cos mul denom div
    a b mul alpha sin mul denom div
  end
  % (Leaving lfigellipsecircum) lfigdebugprint
} def

% find point of intersection of two lines each defined by two points
% x1 y1 x2 y2  x3 y3 x4 y4  lfiglineintersect x y
/lfiglineintersect
{
  % (Entering lfiglineintersect) lfigdebugprint
  13 dict begin
    /y4 exch def
    /x4 exch def
    /y3 exch def
    /x3 exch def
    /y2 exch def
    /x2 exch def
    /y1 exch def
    /x1 exch def
    x2 x1 sub /x21 exch def
    x4 x3 sub /x43 exch def
    y2 y1 sub /y21 exch def
    y4 y3 sub /y43 exch def
    y21 x43 mul y43 x21 mul sub /det exch def
  
    % calculate x 
    y21 x43 mul x1 mul
    y43 x21 mul x3 mul sub
    y3 y1 sub x21 mul x43 mul add
    det div

    % calculate y
    x21 y43 mul y1 mul
    x43 y21 mul y3 mul sub
    x3 x1 sub y21 mul y43 mul add
    det neg div

  end
  % (Leaving lfiglineintersect) lfigdebugprint
} def

% find point on circumference of polygon
% alpha radius num theta lfigpolycircum x y
/lfigpolycircum
{
  % (Entering lfigpolycircum) lfigdebugprint
  13 dict begin
    /theta exch def
    /num exch def
    /radius exch def
    /alpha exch def

    % calculate delta, the angle from theta to alpha
    alpha theta sub lfigfixangle

    % calculate the angle which is the multiple of 360/num closest to delta
    360 num div div truncate 360 num div mul theta add /anglea exch def

    % calculate the next multiple of 360/num after anglea
    anglea 360 num div add /angleb exch def

    % intersect the line through these two points with the alpha line
    anglea cos anglea sin  angleb cos angleb sin
    0 0  alpha cos 2 mul alpha sin 2 mul
    lfiglineintersect radius lfigpmul

  end
  % (Leaving lfigpolycircum) lfigdebugprint
} def

% find point of intersection of a point and a circle
% x0 y0 r  x1 y1 theta  lfigcircleintersect xa ya xb yb 2
%                                        or       xb yb 1
%                                        or             0
/lfigcircleintersect
{
  % (Entering lfigcircleintersect) lfigdebugprint
  15 dict begin
    /theta exch def
    /y1    exch def
    /x1    exch def
    /r     exch def
    /y0    exch def
    /x0    exch def

    % if sin(theta) = 0 then line is horizontal and y must be y1
    theta sin abs 0.00001 lt
    { 
      /a 1 def
      /b -2 x0 mul def
      /c x0 dup mul y1 y0 sub dup mul add r dup mul sub def
      a b c lfigqroots dup
      0 eq
      { pop
	0
      }
      { 1 eq
	{ y1 1
	}
	{ y1 exch y1 2
	} ifelse
      } ifelse
    }
    {
      /ct theta cos theta sin div def
      /a ct ct mul 1 add def
      /b ct x1 x0 sub mul y1 add y0 sub 2 mul def
      /c x1 x0 sub dup mul y1 y0 sub dup mul add r dup mul sub def
      a b c lfigqroots dup
      0 eq
      { pop
	0
      }
      { 1 eq
	{ y1 add /yb exch def
	  yb y1 sub ct mul x1 add /xb exch def
	  xb yb 1
	}
	{ y1 add /ya exch def
	  ya y1 sub ct mul x1 add /xa exch def
	  y1 add /yb exch def
	  yb y1 sub ct mul x1 add /xb exch def
	  xa ya xb yb 2
	} ifelse
      } ifelse
    } ifelse
  end
  % (Leaving lfigcircleintersect) lfigdebugprint
} def

% add CIRCUM operator with this body:  <array> lfigcircumdef -
/lfigcircumdef
{   % (Entering lfigcircumdef) lfigdebugprint
    /CIRCUM exch cvx
    currentdict end
    3 1 roll
    % currentdict length currentdict maxlength lt
    % { def }
    % { exec moveto (too many labels) show stop }
    % ifelse
    def
    begin
    % (Leaving lfigcircumdef) lfigdebugprint
} def

end
%%EndResource

%%BeginResource: procset LoutGraphPrependGraphic
% @PrependGraphic file /home/jeff/lout.lib/include/graphf.lpg
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                    %
%  PostScript @SysPrependGraphic file for @Graph (Version 1.0)       %
%                                                                    %
%  Version 1.0 by Jeffrey H. Kingston, December 1993.                %
%  swapxandy added September 2001 by JHK.                            %
%                                                                    %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

errordict begin
   /handleerror
   {
      {  /Times-Roman findfont 8 pt scalefont setfont
	 0 setgray 4 pt 4 pt moveto
	 $error /errorname get
	 dup lgraphdict exch known
	 { lgraphdict exch get }
	 { 30 string cvs } ifelse
	 show
	 (  Command: ) show
	 $error /command get 30 string cvs show
      } stopped {} if
      showpage stop
   } def
end

/lgraphdict 200 dict def
lgraphdict begin

% error messages
/dictfull (dictfull error) def
/dictstackoverflow (dictstackoverflow error) def
/execstackoverflow (execstackoverflow error:  expression too complex?) def
/limitcheck (limitcheck error:  graph too complex or too large?) def
/syntaxerror (syntaxerror error:  syntax error in text of graph?) def
/typecheck (typecheck error:  syntax error in text of graph?) def
/undefined (undefined error:  unknown or misspelt symbol?) def
/rangecheck (rangecheck error:  undefined expression (e.g. divide by zero)?) def
/VMError (VMError error:  run out of memory?) def

% random number between x and y inclusive: x y dorand num
/dorand { 1 index sub 1 add rand exch mod add } def

% log to given base: base num dolog num
/dolog { ln exch ln div } def

% maximum of two numbers:  <num> <num> max <num>
/max { 2 copy gt { pop } { exch pop } ifelse } def

% add two points:  <point> <point> padd <point>
/padd { exch 3 1 roll add 3 1 roll add exch } def

% subtract first point from second:  <point> <point> psub <point>
/psub { 3 2 roll sub 3 1 roll exch sub exch } def

% distance between two points:  <point> <point> distance <length>
/distance { psub dup mul exch dup mul add sqrt } def

% point at angle and distance:  <point> <length> <angle> atangle <point>
/atangle { 2 copy cos mul 3 1 roll sin mul padd } def

% angle from one point to another:  <point> <point> angle <angle>
/angle { psub 2 copy 0 eq exch 0 eq and {pop} {exch atan} ifelse } def


% set up for line
% - linesetup <length> <dashlength>
/linesetup
{ newpath
  xcurr ycurr trpoint xprev yprev trpoint
  4 copy moveto lineto distance dashlength
} def

% set up for icon-avoiding line
% - ilinesetup <length> <dashlength>
/ilinesetup
{ newpath
  xprev yprev trpoint xcurr ycurr trpoint 4 copy
  4 copy angle symbolsize 1.5 mul exch 4 2 roll pop pop atangle
  6 2 roll 4 2 roll
  4 copy angle symbolsize 1.5 mul exch 4 2 roll pop pop atangle 
  4 copy moveto lineto distance dashlength
} def


% stroke a solid line:  <length> <dashlength> solid -
/solid
{ pop pop [] 0 setdash linewidth setlinewidth stroke
} def
  
% stroke a dashed line:   <length> <dashlength> dashed -
/dashed
{  2 copy 2 mul le 1 index 0 le or
   {  exch pop 1 pt max [ exch dup ] 0 setdash }
   {  dup [ exch 4 2 roll 2 copy div
      1 sub 2 div ceiling dup 4 1 roll
      1 add mul sub exch div ] 0 setdash
   } ifelse linewidth setlinewidth stroke
} def

% stroke a cdashed line:  <length> <dashlength> cdashed -
/cdashed
{  2 copy le 1 index 0 le or
   { exch pop 1 pt max [ exch dup ] dup 0 get 2 div setdash }
   { dup [ 4 2 roll exch 2 copy exch div
     2 div ceiling div 1 index sub
     ] exch 2 div setdash
   } ifelse linewidth setlinewidth stroke
} def

% stroke a dotted line:  <length> <dashlength> dotted -
/dotted
{  2 copy le 1 index 0 le or
   { exch pop 1 pt max [ exch 0 exch ] 0 setdash }
   { 1 index exch div ceiling div 0.99999 mul
     [ 0 3 2 roll ] 0 setdash
   } ifelse gsave 1 setlinecap linewidth setlinewidth stroke grestore newpath
} def

% stroke a noline line:  <length> <dashlength> noline -
/noline
{ pop pop
} def

% scale array elements by factor:  <array> <factor> scalearray <array>
/scalearray
{
  [ exch 3 2 roll
  { exch dup 3 1 roll mul exch } forall
  pop ]
} def

% sum array elements:  <array> sumarray <number>
/sumarray
{
  0 exch { add } forall
} def

% begin a more complex line: <length> <dashlength> linebegin -
/linebegin
{
  % (Entering linebegin) 2 debugprint
  20 dict begin
  /dashlen exch 1 pt max def
  /len exch def
  /gap dashlen def
  /halfgap dashlen 2 div def
  /dash dashlen def
  /halfdash dashlen 2 div def
  /dot 0 def
  % (Leaving linebegin) 0 debugprint
} def
% end a more complex line: <linecap> <cycle> <startpos> <stoppos> lineend -
/lineend
{
  % (Entering lineend) 3 debugprint
  /stoppos exch def
  /startpos exch def
  /cycle exch def
  /linecap exch def
  /stopposlen stoppos sumarray def
  /startposlen startpos sumarray def
  /cyclelen cycle sumarray def
  /effectivelen len startposlen add stopposlen sub def
  effectivelen 0 gt cyclelen 0 gt and
  {
    /repeats effectivelen cyclelen div ceiling def
    /factor len repeats cyclelen mul startposlen sub stopposlen add div def
    cycle factor scalearray startposlen factor mul setdash
    linecap setlinecap stroke
  } if
  end
  % (Leaving lineend) 0 debugprint
} def

% stroke a dotdashed line: <length> <dashlength> dotdashed -
/dotdashed
{
  linebegin
  1 [dash gap dot gap] [] [dash]
  lineend
} def

% stroke a dotcdashed line: <length> <dashlength> dotcdashed -
/dotcdashed
{
  linebegin
  1 [dash gap dot gap] [halfdash] [halfdash]
  lineend
} def

% stroke a dotdotdashed line: <length> <dashlength> dotdotdashed -
/dotdotdashed
{
  linebegin
  1 [dash gap dot gap dot gap] [] [dash]
  lineend
} def

% stroke a dotdotcdashed line: <length> <dashlength> dotdotcdashed -
/dotdotcdashed
{
  linebegin
  1 [dash gap dot gap dot gap] [halfdash] [halfdash]
  lineend
} def

% stroke a dotdotdotdashed line: <length> <dashlength> dotdotdotdashed -
/dotdotdotdashed
{
  linebegin
  1 [dash gap dot gap dot gap dot gap] [] [dash]
  lineend
} def

% stroke a dotdotdotcdashed line: <length> <dashlength> dotdotdotcdashed -
/dotdotdotcdashed
{
  linebegin
  1 [dash gap dot gap dot gap dot gap] [halfdash] [halfdash]
  lineend
} def


% stroke a y histogram: - yhisto -
/yhisto
{ xprev yleft trpoint yextra sub moveto
  xprev yprev trpoint lineto
  xcurr yprev trpoint lineto
  xcurr yleft trpoint yextra sub lineto 
  linewidth setlinewidth stroke
} def

% stroke an x histogram: - xhisto -
/xhisto
{ xleft yprev trpoint exch xextra sub exch moveto
  xcurr yprev trpoint lineto
  xcurr ycurr trpoint lineto
  xleft ycurr trpoint exch xextra sub exch lineto 
  linewidth setlinewidth stroke
} def

% stroke a surface y histogram: - surfaceyhisto -
/surfaceyhisto
{ firstpair
  { xprev yleft trpoint yextra sub moveto
    xprev yprev trpoint lineto
  }
  { xprev yprev trpoint moveto
  } ifelse
  xcurr yprev trpoint lineto
  lastpair
  { xcurr yleft trpoint yextra sub lineto 
  }
  { xcurr ycurr trpoint lineto
  } ifelse
  linewidth setlinewidth stroke
} def

% stroke a surface x histogram: - surfacexhisto -
/surfacexhisto
{ firstpair
  { xleft yprev trpoint exch xextra sub exch moveto
  }
  { xprev yprev trpoint moveto
  } ifelse
  xcurr yprev trpoint lineto
  xcurr ycurr trpoint lineto
  lastpair
  { xleft ycurr trpoint exch xextra sub exch lineto 
  } if
  linewidth setlinewidth stroke
} def

% % pre-texture versions
% % stroke a filled y histogram: - filledyhisto -
% /filledyhisto
% {
%   linewidth setlinewidth
%   xprev yleft trpoint exch currentlinewidth 2 div add exch yextra sub moveto
%   xprev yprev trpoint exch currentlinewidth 2 div add exch lineto
%   xcurr yprev trpoint exch currentlinewidth 2 div sub exch lineto
%   xcurr yleft trpoint exch currentlinewidth 2 div sub exch yextra sub lineto 
%   closepath fill
% } def

% % stroke a filled x histogram: - filledxhisto -
% /filledxhisto
% {
%   linewidth setlinewidth
%   xleft yprev trpoint currentlinewidth 2 div add exch xextra sub exch moveto
%   xcurr yprev trpoint currentlinewidth 2 div add lineto
%   xcurr ycurr trpoint currentlinewidth 2 div sub lineto
%   xleft ycurr trpoint currentlinewidth 2 div sub exch xextra sub exch lineto 
%   closepath fill
% } def

% stroke a filled y histogram: - filledyhisto -
/filledyhisto
{
  linewidth setlinewidth
  xprev yleft trpoint exch currentlinewidth 1.3 mul add exch yextra sub moveto
  xprev yprev trpoint exch currentlinewidth 1.3 mul add exch lineto
  xcurr yprev trpoint exch currentlinewidth 1.3 mul sub exch lineto
  xcurr yleft trpoint exch currentlinewidth 1.3 mul sub exch yextra sub lineto 
  gsave texture fill grestore stroke
} def

% stroke a filled x histogram: - filledxhisto -
/filledxhisto
{
  linewidth setlinewidth
  xleft yprev trpoint currentlinewidth 1.3 mul add exch xextra sub exch moveto
  xcurr yprev trpoint currentlinewidth 1.3 mul add lineto
  xcurr ycurr trpoint currentlinewidth 1.3 mul sub lineto
  xleft ycurr trpoint currentlinewidth 1.3 mul sub exch xextra sub exch lineto 
  gsave texture fill grestore stroke
} def


% cross: show a small cross
/cross
{ newpath
  xcurr ycurr trpoint moveto
  symbolsize neg symbolsize neg rmoveto
  symbolsize 2 mul symbolsize 2 mul rlineto
  0 symbolsize -2 mul rmoveto
  symbolsize -2 mul symbolsize 2 mul rlineto
  [] 0 setdash stroke
} def

% plus: show a small plus
/plus
{ newpath
  xcurr ycurr trpoint moveto
  symbolsize neg 0 rmoveto
  symbolsize 2 mul 0 rlineto
  symbolsize neg symbolsize neg rmoveto
  0 symbolsize 2 mul rlineto
  [] 0 setdash stroke
} def

% square: show a small square
/square
{ newpath
  xcurr ycurr trpoint moveto
  symbolsize neg symbolsize neg rmoveto
  symbolsize 2 mul 0 rlineto
  0 symbolsize 2 mul rlineto
  symbolsize -2 mul 0 rlineto
  closepath [] 0 setdash stroke
} def

% filledsquare: show a small filled square
/filledsquare
{ newpath
  xcurr ycurr trpoint moveto
  symbolsize neg symbolsize neg rmoveto
  symbolsize 2 mul 0 rlineto
  0 symbolsize 2 mul rlineto
  symbolsize -2 mul 0 rlineto
  closepath gsave [] 0 setdash stroke grestore fill
} def

% diamond: show a small diamond
/diamond
{ newpath
  xcurr ycurr trpoint moveto
  symbolsize neg 0 rmoveto
  symbolsize symbolsize neg rlineto
  symbolsize symbolsize rlineto
  symbolsize neg symbolsize rlineto
  closepath [] 0 setdash stroke
} def

% filleddiamond: show a small filled diamond
/filleddiamond
{ newpath
  xcurr ycurr trpoint moveto
  symbolsize neg 0 rmoveto
  symbolsize symbolsize neg rlineto
  symbolsize symbolsize rlineto
  symbolsize neg symbolsize rlineto
  closepath gsave [] 0 setdash stroke grestore fill
} def

% circle: show a small circle
/circle
{ newpath
  xcurr ycurr trpoint symbolsize 0 360 arc [] 0 setdash stroke
} def

% filledcircle: show a small filled circle
/filledcircle
{ newpath
  xcurr ycurr trpoint symbolsize 0 360 arc gsave [] 0 setdash stroke grestore fill
} def

% triangle: show a small triangle
/triangle
{ newpath
  xcurr ycurr trpoint moveto
  0 symbolsize 1.5 mul rmoveto
  symbolsize neg symbolsize -2.5 mul rlineto
  symbolsize 2 mul 0 rlineto
  closepath [] 0 setdash stroke
} def

% filledtriangle: show a small filled triangle
/filledtriangle
{ newpath
  xcurr ycurr trpoint moveto
  0 symbolsize 1.5 mul rmoveto
  symbolsize neg symbolsize -2.5 mul rlineto
  symbolsize 2 mul 0 rlineto
  closepath gsave [] 0 setdash stroke grestore fill
} def


%plog: like log only with a base, and protected from failing if <= 0
% base x plog res
/plog { dup 0 le { pop pop 0 } { ln exch ln div } ifelse } def

% xtr: transform one x value logarithmically if xlog > 1
% <num> xtr <num>
/xtr
{ xlog 1 gt
  { xlog exch plog
  } if
} def

% ytr: transform one y value logarithmically if ylog > 1
% <num> ytr <num>
/ytr
{ ylog 1 gt
  { ylog exch plog
  } if
} def


% trpoint: transform (x, y) in graph space into (x', y') in print space
% x y trpoint x' y'
/trpoint
{ exch xtr xdecr { trxmax exch sub } { trxmin sub } ifelse
  trxmax trxmin sub div xwidth mul xextra add

  exch ytr ydecr { trymax exch sub } { trymin sub } ifelse
  trymax trymin sub div ywidth mul yextra add
} def


% yonly: interpolate x values 1, 2, ... into data
% [ data ] yonly [ newdata ]
/yonly
{ dup /tmp exch def
  length [ exch 1 exch 1 exch
  { dup tmp exch 1 sub get
  } for
  ]
} def

% xonly: interpolate y values 1, 2, ... into data
% [ data ] yonly [ newdata ]
/xonly
{ dup /tmp exch def
  length [ exch 1 exch 1 exch
  { dup tmp exch 1 sub get exch
  } for
  ]
} def

% xandy: no interpolation of x or y values
% [ data ] xandy [ data ]
/xandy {} def

% swapxandy: swap x and y values
% [ data ] swapxandy [ data ]
/swapxandy
{ dup /tmp exch def
  length [ exch 2 exch 2 exch
  { dup tmp exch 1 sub get exch 2 sub tmp exch get
  } for
  ]
} def


% expstringwidth: calculate width of string containing optional exponent
% <string> expstringwidth <width>
/expstringwidth
{ (^) search
  { exch pop stringwidth pop exch stringwidth pop 0.7 mul add }
  { stringwidth pop }
  ifelse
} def

% expstringshow: show string containing optional exponent
% <string> expstringshow -
/expstringshow
{ (^) search
  { exch pop show 0 0.5 ft rmoveto
    gsave currentfont 0.7 scalefont setfont show grestore
  }
  { show
  }
  ifelse
} def

% concatenate two strings: <string> <string> strconcat <string>
/strconcat
{ 2 copy length exch length add string
  dup 0 4 index putinterval
  dup 3 index length 3 index putinterval
  3 1 roll pop pop
} def

% lgen: generate one label automatically
% num lgen num string
/lgen { dup 20 string cvs } def

% loglgen: generate one logarithmic label (with exponent)
% <base> <exponent> loglgen <string>
/loglgen
{ 20 string cvs exch 20 string cvs
  (^) strconcat exch strconcat
} def


% printxtick: print one x tick
% xpos printxtick -
/printxtick
{ newpath
  yleft trpoint moveto 0 yextra neg rmoveto
  0 xticklength neg rlineto [] 0 setdash stroke
} def

% printxgrid: print one x grid line
% xpos printxgrid -
/printxgrid
{ dup newpath
  yleft trpoint moveto 0 yextra neg rmoveto
  yright trpoint lineto 0 yextra rlineto [] 0 setdash stroke
} def

% printxlabel: print one x label
% (xlabel) xpos printxlabel -
/printxlabel
{ yleft trpoint moveto 0 yextra neg rmoveto
  0 xticklength neg rmoveto 0 0.9 ft neg rmoveto
  xlog 1 gt { 0 0.3 ft neg rmoveto } if
  dup expstringwidth -2 div 0 rmoveto expstringshow
} def

% printytick: print one y tick
% ypos printytick -
/printytick
{ newpath
  xleft exch trpoint moveto xextra neg 0 rmoveto
  yticklength neg 0 rlineto [] 0 setdash stroke
} def

% printygrid: print one y grid line
% ypos printygrid -
/printygrid
{ dup newpath
  xleft exch trpoint moveto xextra neg 0 rmoveto
  xright exch trpoint lineto xextra 0 rlineto [] 0 setdash stroke
} def

% printylabel: print one y label
% (ylabel) ypos printylabel -
/printylabel
{ xleft exch trpoint moveto xextra neg 0 rmoveto
  yticklength neg 0 rmoveto -0.3 ft -0.3 ft rmoveto
  dup expstringwidth neg 0 rmoveto expstringshow
} def

% printrtick: print one r tick
% ypos printrtick -
/printrtick
{ newpath
  xright exch trpoint moveto xextra 0 rmoveto
  rticklength 0 rlineto [] 0 setdash stroke
} def

% printrlabel: print one r label
% (rlabel) ypos printrlabel -
/printrlabel
{ xright exch trpoint moveto xextra 0 rmoveto
  rticklength 0 rmoveto  0.3 ft -0.3 ft rmoveto
  expstringshow
} def

% printticks: print ticks and labels
% /tickproc /labelproc [ tickandlabeldata ] min printticks -
/printticks
{ /prev exch def
  { dup type dup dup /integertype eq exch /realtype eq or
    { pop dup /prev exch def 2 index cvx exec
    }
    { /stringtype eq
      { prev 2 index cvx exec
      }
      { pop
      } ifelse
    } ifelse
  } forall
  pop pop
} def


% printxaxistick: print one x axis tick
% xpos printxaxistick -
/printxaxistick
{ newpath
  yaxis trpoint moveto 0 xticklength -2 div rmoveto
  0 xticklength rlineto [] 0 setdash stroke
} def

% printxaxislabel: print one x axis label
% (xlabel) xpos printxaxislabel -
/printxaxislabel
{ yaxis trpoint moveto
  0 xticklength -2 div rmoveto 0 0.9 ft neg rmoveto
  xlog 1 gt { 0 0.3 ft neg rmoveto } if
  dup expstringwidth -2 div 0 rmoveto expstringshow
} def

% printyaxistick: print one y axis tick
% ypos printyaxistick -
/printyaxistick
{ newpath
  xaxis exch trpoint moveto
  yticklength -2 div 0 rmoveto
  yticklength 0 rlineto [] 0 setdash stroke
} def

% printyaxislabel: print one y axis label
% (ylabel) ypos printyaxislabel -
/printyaxislabel
{ xaxis exch trpoint moveto
  yticklength -2 div 0 rmoveto -0.3 ft -0.3 ft rmoveto
  dup expstringwidth neg 0 rmoveto expstringshow
} def


% <val> minmax -
% perform minv := min(minv, val); maxv := max(maxv, val)
% allowing for the possibility of minv, maxv, val being false (undefined)
/minmax
{ dup false eq
  { pop }
  { minv false eq
    { dup /minv exch def /maxv exch def }
    { dup minv lt
      { /minv exch def }
      { dup maxv gt
	{ /maxv exch def }
	{ pop }
	ifelse
      } ifelse
    } ifelse
  } ifelse
} def

% <ticks> ticksundef <ticks> <bool>
% returns true iff the ticks array is undefined (one false entry)
/ticksundef
{ dup length 1 eq
  { dup 0 get false eq
  }
  { false }
  ifelse
} def

% <number> integral <boolean>
% true if the number has an integral value
/integral { dup round eq } def

% ticksep ticks xory alldata minval maxval axis base ticksandlimits ticks min max base
% ticksandlimits: sort out value of x or y ticks and limits and log base
/ticksandlimits
{ /base exch def
  /minv false def
  /maxv false def

  % min and max of user-supplied minval, maxval, and axis
  minmax minmax minmax

  % min and max of data points
  { 0 get dup dup length 1 sub 3 index exch 2 exch
    { get minmax dup
    } for pop pop
  } forall
  pop dup

  % min and max of tick values
  { dup type /stringtype eq
    { pop } { minmax } ifelse
  } forall

  % fix minv and maxv if undefined (false) or equal
  minv false eq
  { /minv -1 def /maxv 1 def }
  { minv maxv eq
    { minv 0 lt
      { /minv 2 minv mul def /maxv 0 def
      }
      { minv 0 eq
	{ /minv -1 def /maxv 1 def
	}
	{ /minv 0 def /maxv 2 maxv mul def
	} ifelse
      } ifelse
    } if
  } ifelse

  % invent ticks if undefined
  ticksundef
  { pop /ticksep exch def

    % if base is reasonable and minv is positive, logarithmic ticks
    base 1 gt minv 0 gt and
    {
      % get integral log of minv and maxv
      /logminv base minv plog floor   cvi def
      /logmaxv base maxv plog ceiling cvi def

      % if minv close to base, make it 1; reset minv and maxv
      logminv 1 eq logmaxv 4 ge and { /logminv 0 def } if
      /minv base logminv exp def
      /maxv base logmaxv exp def

      % ticks := [ base**logminv, ... , base**logmaxv ]
      [ logminv 1 logmaxv
	{ dup base exch exp
	  exch base exch loglgen
	} for
      ]
    }
    { % non-logarithmic ticks
      {
        % fix tick separation if undefined (0) or too small
	/base 0 def
        /delta maxv minv sub def
        ticksep delta 30 div le
        { /ticksep 10 delta log 1 sub ceiling exp def
	  ticksep delta 2 div ge
	  { /ticksep ticksep 2 div def }
	  { ticksep delta 5 div lt
	    { /ticksep 2 ticksep mul def
	    } if
	  } ifelse
        } if

        % adjust minv and maxv to be multiples of ticksep
        /minv minv ticksep div floor   ticksep mul def
        /maxv maxv ticksep div ceiling ticksep mul def
        /delta maxv minv sub def

        % if minv or maxv near zero, move to zero and redo
        minv ticksep eq
        { /minv 0 def }
        { maxv ticksep neg eq { /maxv 0 def } { exit } ifelse
        } ifelse
      } loop

      % if minv, maxv, and ticksep are all integral, set "makeint" to true
      /makeint minv integral maxv integral ticksep integral and and def

      % ticks := [ minv, minv+ticksep, ... , maxv ]
      [ 0 1 delta ticksep div round
	{ ticksep mul minv add makeint { cvi } if lgen }
	for
      ]
    } ifelse
  }
  { exch pop
  } ifelse
  minv maxv base
} def

% xset: set up all data for x axis, including limits and ticks
% xticksep xticks 0 alldata xmin xmax xlog xextra xdecr xaxis xticklength xset -
/xset
{ /xticklength exch def
  /xaxis exch def
  /xdecr exch def
  /xextra exch def
  xaxis exch ticksandlimits
  /xlog exch def /xmax exch def /xmin exch def /xticks exch def
  /xleft xdecr { xmax } { xmin } ifelse def
  /xright xdecr { xmin } { xmax } ifelse def
  /xwidth xsize xextra 2 mul sub def
  /trxmin xmin xtr def /trxmax xmax xtr def
} def

% yset: set up all data for y axis, including limits and yticks
% yticksep yticks 0 alldata ymin ymax ylog yextra ydecr yaxis yticklength yset -
/yset
{ /yticklength exch def
  /yaxis exch def
  /ydecr exch def
  /yextra exch def
  yaxis exch ticksandlimits
  /ylog exch def /ymax exch def /ymin exch def /yticks exch def
  /yleft ydecr { ymax } { ymin } ifelse def
  /yright ydecr { ymin } { ymax } ifelse def
  /ywidth ysize yextra 2 mul sub def
  /trymin ymin ytr def /trymax ymax ytr def
} def

% rset: set up all data for y axis (again), but including limits and rticks
% rticksep rticks 0 alldata ymin ymax ylog yextra ydecr yaxis rticklength rset -
/rset
{ /rticklength exch def
  /yaxis exch def
  /ydecr exch def
  /yextra exch def
  yaxis exch ticksandlimits
  /ylog exch def /ymax exch def /ymin exch def /rticks exch def
  /yleft ydecr { ymax } { ymin } ifelse def
  /yright ydecr { ymin } { ymax } ifelse def
  /ywidth ysize yextra 2 mul sub def
  /trymin ymin ytr def /trymax ymax ytr def
} def

% norset: set up data for no rticks
% - norset -
/norset
{ /rticklength 0 def
  /rticks [] def
} def

% framestyle: print a frame around the graph
/framestyle
{ 0 0 moveto xsize 0 lineto xsize ysize lineto
  0 ysize lineto closepath stroke
  /printxtick /printxlabel xticks xleft printticks
  /printytick /printylabel yticks ymin printticks
  /printrtick /printrlabel rticks ymin printticks
} def

% gridstyle: print a frame around the graph, plus a grid
/gridstyle
{ 0 0 moveto xsize 0 lineto xsize ysize lineto
  0 ysize lineto closepath stroke
  /printxgrid /printxlabel xticks xleft printticks
  /printygrid /printylabel yticks ymin printticks
  /printrtick /printrlabel rticks ymin printticks
} def

% nonestyle: print nothing around the graph
/nonestyle
{
} def

% axesstyle: print axes for the graph (unless axis values missing)
/axesstyle
{
  xaxis false eq yaxis false eq or
  { framestyle }
  { xaxis yaxis trpoint dup 0 exch moveto xsize exch lineto
    dup 0 moveto ysize lineto stroke
    /printxaxistick /printxaxislabel xticks xleft printticks
    /printyaxistick /printyaxislabel yticks ymin printticks
  } ifelse
} def

% rundata: run all data sets
/rundata
{ alldata
  { gsave
    dup dup dup dup dup
    5 get /texture exch def
    4 get /dopaint exch def
    3 get /initrun exch def
    2 get /pairs exch def
    1 get /points exch def
    0 get /data exch def
    dopaint
    { data length 4 ge
      {
	gsave
	initrun
	newpath
	data 0 get ymin trpoint yextra sub moveto
	0 2 data length 2 sub
	{ dup 1 add
	  data exch get /ycurr exch def
	  data exch get /xcurr exch def
	  xcurr ycurr trpoint lineto
	} for
	data dup length 2 sub get ymin trpoint yextra sub lineto
	closepath texture fill
	grestore
      } if
    } if
    initrun
    data length 2 ge
    {
      /xcurr data 0 get def
      /ycurr data 1 get def
      points
      data length 4 ge
      { 2 2 data length 2 sub
	{ /xprev xcurr def
          /yprev ycurr def
	  dup dup 2 eq /firstpair exch def
	  data length 2 sub eq /lastpair exch def
	  dup 1 add
          data exch get /ycurr exch def
          data exch get /xcurr exch def
	  pairs
	  points
	} for
      } if
    } if
    grestore
  } forall
} def

end
%%EndResource

%%BeginResource: procset LoutBasicSetup
% @PrependGraphic file /home/jeff/lout.lib/include/bsf.lpg

% width height linethickness louteuro -
% draw a Euro symbol of this width and height with this line thickness
/louteuro {
  20 dict begin
    /eurothick exch def
    /euroheight exch def
    /eurowidth exch def
    /eurostrokewidth euroheight 0.8 mul def
    /eurostep eurothick 60 cos mul 60 sin div def
    /eurotheta 40 def

    % llx lly width thickness louteurobox -
    % draw angled box starting at (llx, lly) with given width and thickness
    /louteurobox
    {
      /euroboxthick exch def
      /euroboxwidth exch def
      newpath moveto euroboxwidth 0 rlineto
      eurostep euroboxthick rlineto
      euroboxwidth neg 0 rlineto closepath fill
    } def

    % lower cross stroke
    0 euroheight 2 div eurothick 1.5 mul sub
    eurostrokewidth eurothick louteurobox

    % upper cross stroke
    0 euroheight 2 div eurothick 0.5 mul add
    eurostrokewidth eurostep 2 mul add eurothick louteurobox

    % circular part
    /eurohctr eurowidth euroheight 2 div eurotheta cos mul sub def
    /eurovctr euroheight 2 div def
    newpath
    eurohctr eurovctr eurovctr eurotheta 350 eurotheta sub arc
    eurohctr eurovctr eurovctr eurothick sub 365 eurotheta sub eurotheta arcn
    closepath fill
  end
} def

% path for @FullWidthRule symbol
/LoutRule
{ 0 0 moveto xsize 0 lineto
} def

% path for @Box symbol
/LoutBox
{ 0 0 moveto xsize 0 lineto
  xsize ysize lineto 0 ysize lineto
  closepath
} def

% path for @CurveBox symbol
/LoutCurveBox
{ xmark 0 moveto
  xsize xmark sub xmark xmark 270 360 arc
  xsize xmark sub ysize xmark sub xmark 0 90 arc
  xmark ysize xmark sub xmark 90 180 arc
  xmark xmark xmark 180 270 arc
  closepath
} def

% path for @ShadowBox symbol
/LoutShadowBox
{ xmark 2 mul 0 moveto xsize 0 lineto
  xsize ysize xmark 2 mul sub lineto
  xsize xmark sub ysize xmark 2 mul sub lineto
  xsize xmark sub xmark lineto
  xmark 2 mul xmark lineto
  closepath
} def

% set up dictionary containing margin note data: parity LoutMargSet -
/LoutMargSet
{ /LoutMargDict 12 dict def
  LoutMargDict begin
    /parity exch def
    /matr matrix currentmatrix def
    /rightx xsize def
    /lefty ysize def   % highest allowable point for top of next left note
    /righty ysize def  % highest allowable point for top of next right note
    /max { 2 copy gt { pop } { exch pop } ifelse } def
    /min { 2 copy lt { pop } { exch pop } ifelse } def
  end
} def

%translate coordinate system for marginal notes:  type LoutMargShift -
% where type 0 is left margin, 1 is right margin, 2 is outer, 3 is inner
/LoutMargShift
{ LoutMargDict begin

    % y coordinate of top of note, in margin coords, before vertical adjust
    0 ysize transform matr itransform exch pop

    % decide whether left or right margin based on type and parity
    exch [ 0 1 parity 1 parity sub ] exch get 0 eq
    {
      % left margin: adjust top of note downwards if overlaps previous note
      lefty min

      % bottom of note is new lefty position and also translate position
      ysize sub dup /lefty exch def

      % want right edge of note at coordinate zero
      xsize neg exch
    }
    {
      % right margin: adjust top of note downwards if overlaps previous note
      righty min

      % bottom of note is new righty position and also translate position
      ysize sub dup /righty exch def

      % want left edge of note at coordinate rightx
      rightx exch
    } ifelse

    % stack now contains coord of bottom left corner in margin coordinates
    matr setmatrix translate
  end
} def

% create LoutPageDict with left, right, foot, top for @Place symbol users
/LoutPageSet
{
  /LoutPageDict 5 dict def
  LoutPageDict begin
    /matr matrix currentmatrix def
    /left 0 def
    /right xsize def
    /foot 0 def
    /top ysize def
  end

} def

%%EndResource

%%EndProlog

%%BeginSetup
%%BeginResource: encoding vec2
/vec2 [
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright
/parenleft /parenright /asterisk /plus /comma /hyphen /period /slash
/zero /one /two /three /four /five /six /seven
/eight /nine /colon /semicolon /less /equal /greater /question
/at /A /B /C /D /E /F /G
/H /I /J /K /L /M /N /O
/P /Q /R /S /T /U /V /W
/X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore
/quoteleft /a /b /c /d /e /f /g
/h /i /j /k /l /m /n /o
/p /q /r /s /t /u /v /w
/x /y /z /braceleft /bar /braceright /asciitilde /.notdef
/quotesinglbase /quotedblbase /ellipsis /OE /oe /quotedblleft /quotedblright /fi
/fl /endash /emdash /bullet /dagger /daggerdbl /florin /fraction
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{ linesetup cdashed }
{ /dashlength 0.2 ft def
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{ false }
{ null LoutSetTexture }
] ] def
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0 false 0 0.5 ft xset
0 [ false ] 1 alldata false false 0
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norset
rundata axesstyle
grestore
1953 535 0 535 360 480 90 0 -535 LoutGr2
300 2 trpoint translate 0 ysize translate gsave
grestore
360 fnt5 108 182(Exponential)m
grestore
grestore
1428 533 0 533 360 480 90 0 -533 LoutGr2
300 3.14159 300 4 div mul sqrt 1 add trpoint translate 0 0 translate gsave
grestore
360 fnt5 108 182(Uniform)m grestore
grestore
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grestore
360 fnt5 4189 3901(n)m 
grestore

grestore
gsave
1417 -14005 translate
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0 0 0 0 400 480 100 LoutGraphic
gsave
0 LoutMargSet
grestore

grestore

grestore

grestore

pgsave restore
showpage

%%Trailer
%%DocumentNeededResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
%%+ font Helvetica-Oblique
%%+ font Symbol
%%DocumentSuppliedResources: procset LoutStartUp
%%+  procset LoutTabPrependGraphic
%%+  procset LoutFigPrependGraphic
%%+  procset LoutGraphPrependGraphic
%%+  procset LoutBasicSetup
%%+ encoding vec2
%%Pages: 42
%%EOF