%%BeginResource: procset LoutFigPrependGraphic
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                    %
%  PostScript @SysPrependGraphic file for @Diag Jeffrey H. Kingston  %
%  Version 2.0 (includes CIRCUM label)                September 1996 %
%                                                                    %
%  To assist in avoiding name clashes, the names of all symbols      %
%  defined here begin with "ldiag".  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 ldiagdict exch known
	 { ldiagdict exch get }
	 { 50 string cvs } ifelse
	 show
	 (  Command: ) show
	 $error /command get 50 string cvs show
      } stopped {} if
      showpage stop
   } def
end

% begin diagram: <maxlabels> ldiagbegin -
% must be defined outside ldiagdict since it loads it
/ldiagbegin
{ xsize 0 0 ysize ldiagdict begin
  5 -1 roll /ldiagmaxlabels exch def
  (@Diag) ldiagpushtagdict
  /OOY ldiagpointdef /OOX ldiagpointdef 0 0 /OOO ldiagpointdef
} def

% end diagram: - ldiagend -
/ldiagend
{ ldiagpoptagdict end
} def

% concat strings: <string> <string> ldiagconcat <string>
% must be defined outside ldiagdict since used in ldiagpromotelabels
/ldiagconcat
{ 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

/ldiagdebugposy 432 def
/ldiagdebugposx 72 def

% <string> <int> ldiagdebugprint -
% must be defined outside ldiagdict since used in arbitrary places
% print count or <int> stack entries, which ever is the smaller
/ldiagdebugprint
{
  exch
  gsave
  initgraphics
  ldiagdebugposy 72 lt
  { /ldiagdebugposx ldiagdebugposx 144 add store
    /ldiagdebugposy 432 store
  }
  {
    /ldiagdebugposy ldiagdebugposy 12 sub store
  } ifelse
  ldiagdebugposx ldiagdebugposy moveto
  /Times-Roman findfont 10 scalefont setfont
  0 setgray show
  count 1 sub 2 copy lt { pop } { exch pop } ifelse 1 sub
  0 exch 1 exch
  {
    /ldiagdebugposy ldiagdebugposy 12 sub store
    ldiagdebugposx 12 add ldiagdebugposy moveto
    index 50 string cvs show
  } for
  grestore
} def

/ldiagdict 200 dict def
ldiagdict 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:  - ldiagpi <num>
/ldiagpi 3.14159 def

% push e onto stack:  - ldiage <num>
/ldiage 2.71828 def

% arc directions
/clockwise     false def
/anticlockwise true  def

% test equality between two angles:  <angle> <angle> ldiagangleeq <bool>
/ldiagangleeq { ldiagfixangle exch ldiagfixangle eq } def

% test inequality between two angles:  <angle> <angle> ldiaganglene <bool>
/ldiaganglene { ldiagangleeq not } def

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

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

% add two points:  <point> <point> ldiagpadd <point>
/ldiagpadd
{
  % (Entering padd) 4 ldiagdebugprint
  exch 3 1 roll add 3 1 roll add exch
  % (Leaving padd) 2 ldiagdebugprint
} def

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

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

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

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

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

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

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

% stroke a solid line:  <length> <dashlength> ldiagsolid -
/ldiagsolid
{  pop pop [] 0 setdash 1 setlinecap stroke
} def

% stroke a dashed line:   <length> <dashlength> ldiagdashed -
/ldiagdashed
{  2 copy div 2 le 1 index 0 le or
   {  exch pop 1 pt ldiagmax [ 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 0 setlinecap stroke
} def

% stroke a cdashed line:  <length> <dashlength> ldiagcdashed -
/ldiagcdashed
{  % (Entering ldiagcdashed) 2 ldiagdebugprint
   2 copy le 1 index 0 le or
   { exch pop 1 pt ldiagmax [ 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 0 setlinecap stroke
   % (Leaving ldiagcdashed) 0 ldiagdebugprint
} def

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

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

% painting (i.e. filling): - ldiagwhite - (etc.)
/ldiagnopaint		{			       } def
/ldiagnochange		{ 			  fill } def
/ldiagdarkblue		{ 0.0 0.0 0.5 setrgbcolor fill } def
/ldiagblue		{ 0.0 0.0 1.0 setrgbcolor fill } def
/ldiaglightblue		{ 0.5 0.5 1.0 setrgbcolor fill } def
/ldiagdarkgreen		{ 0.0 0.5 0.0 setrgbcolor fill } def
/ldiaggreen		{ 0.0 1.0 0.0 setrgbcolor fill } def
/ldiaglightgreen	{ 0.5 1.0 0.5 setrgbcolor fill } def
/ldiagdarkred		{ 0.5 0.0 0.0 setrgbcolor fill } def
/ldiagred		{ 1.0 0.0 0.0 setrgbcolor fill } def
/ldiaglightred		{ 1.0 0.5 0.5 setrgbcolor fill } def
/ldiagdarkcyan		{ 0.0 0.5 0.5 setrgbcolor fill } def
/ldiagcyan		{ 0.0 1.0 1.0 setrgbcolor fill } def
/ldiaglightcyan		{ 0.5 1.0 1.0 setrgbcolor fill } def
/ldiagdarkmagenta	{ 0.5 0.0 0.5 setrgbcolor fill } def
/ldiagmagenta		{ 1.0 0.0 1.0 setrgbcolor fill } def
/ldiaglightmagenta	{ 1.0 0.5 1.0 setrgbcolor fill } def
/ldiagdarkyellow	{ 0.5 0.5 0.0 setrgbcolor fill } def
/ldiagyellow		{ 1.0 1.0 0.0 setrgbcolor fill } def
/ldiaglightyellow	{ 1.0 1.0 0.5 setrgbcolor fill } def
/ldiagdarkgray		{ 0.2 0.2 0.2 setrgbcolor fill } def
/ldiaggray		{ 0.5 0.5 0.5 setrgbcolor fill } def
/ldiaglightgray		{ 0.8 0.8 0.8 setrgbcolor fill } def
/ldiagdarkgrey		{ 0.2 0.2 0.2 setrgbcolor fill } def
/ldiaggrey		{ 0.5 0.5 0.5 setrgbcolor fill } def
/ldiaglightgrey		{ 0.8 0.8 0.8 setrgbcolor fill } def
/ldiagblack		{ 0.0 0.0 0.0 setrgbcolor fill } def
/ldiagwhite		{ 1.0 1.0 1.0 setrgbcolor fill } def

% shape and labels of the @Box symbol
/ldiagbox
{
   0     0         /SW  ldiagpointdef
   xsize 0         /SE  ldiagpointdef
   xsize ysize     /NE  ldiagpointdef
   0     ysize     /NW  ldiagpointdef
   SE 0.5 ldiagpmul /S   ldiagpointdef
   NW 0.5 ldiagpmul /W   ldiagpointdef
   W SE ldiagpadd   /E   ldiagpointdef
   S NW ldiagpadd   /N   ldiagpointdef
   NE 0.5 ldiagpmul /CTR ldiagpointdef

     0 dg /S@ANGLE  ldiagangledef
    45 dg /SE@ANGLE ldiagangledef
    90 dg /E@ANGLE  ldiagangledef
   135 dg /NE@ANGLE ldiagangledef
   180 dg /N@ANGLE  ldiagangledef
   225 dg /NW@ANGLE ldiagangledef
   270 dg /W@ANGLE  ldiagangledef
   315 dg /SW@ANGLE ldiagangledef

   [ CTR NE ldiagpsub /ldiagboxcircum cvx ] ldiagcircumdef
   SW SE NE NW SW
} def

% shape and labels of the @CurveBox symbol
% <margin> ldiagcurvebox <shape>
/ldiagcurvebox
{  

   % (Entering ldiagcurvebox) 1 ldiagdebugprint
   ldiagdecodelength /cbmgn exch def

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

   cbmgn 0.293 mul		cbmgn 0.293 mul		  /SW  ldiagpointdef
   xsize cbmgn 0.293 mul sub	cbmgn 0.293 mul		  /SE  ldiagpointdef
   xsize cbmgn 0.293 mul sub	ysize cbmgn 0.293 mul sub /NE  ldiagpointdef
   cbmgn 0.293 mul		ysize cbmgn 0.293 mul sub /NW  ldiagpointdef

     0 dg /S@ANGLE  ldiagangledef
    45 dg /SE@ANGLE ldiagangledef
    90 dg /E@ANGLE  ldiagangledef
   135 dg /NE@ANGLE ldiagangledef
   180 dg /N@ANGLE  ldiagangledef
   225 dg /NW@ANGLE ldiagangledef
   270 dg /W@ANGLE  ldiagangledef
   315 dg /SW@ANGLE ldiagangledef

   [ xsize ysize 0.5 ldiagpmul cbmgn /ldiagcurveboxcircum cvx ] ldiagcircumdef

   cbmgn		0
   xsize cbmgn sub	0
   [ xsize cbmgn sub	cbmgn		]
   xsize		cbmgn
   xsize		ysize cbmgn sub
   [ xsize cbmgn sub	ysize cbmgn sub	]
   xsize cbmgn sub	ysize
   cbmgn		ysize
   [ cbmgn		ysize cbmgn sub	]
   0			ysize cbmgn sub
   0			cbmgn
   [ cbmgn		cbmgn		]
   cbmgn		0

   % (Leaving ldiagcurvebox) 0 ldiagdebugprint
} def

% shadow of the @ShadowBox symbol
% its shape and labels are done, somewhat inaccurately, with ldiagbox
% <shadowmargin> ldiagshadow -
/ldiagshadow
{ 
  /lfshm exch def
  
  lfshm 0 moveto
  0 lfshm neg rlineto
  xsize 0 rlineto
  0 ysize rlineto
  lfshm neg 0 rlineto
  xsize 0 lineto
  closepath fill

} def

% shape and labels of the @Square symbol
/ldiagsquare
{
   xsize ysize 0.5 ldiagpmul /CTR ldiagpointdef
   CTR xsize xsize ysize ysize ldiagpmax 0.5 ldiagpmul ldiagpadd /NE ldiagpointdef
   CTR 0 0 CTR NE ldiagdistance 135 ldiagatangle ldiagpadd /NW ldiagpointdef
   CTR 0 0 CTR NE ldiagdistance 225 ldiagatangle ldiagpadd /SW ldiagpointdef
   CTR 0 0 CTR NE ldiagdistance 315 ldiagatangle ldiagpadd /SE ldiagpointdef
   SW 0.5 ldiagpmul SE 0.5 ldiagpmul ldiagpadd /S ldiagpointdef
   NW 0.5 ldiagpmul NE 0.5 ldiagpmul ldiagpadd /N ldiagpointdef
   SW 0.5 ldiagpmul NW 0.5 ldiagpmul ldiagpadd /W ldiagpointdef
   SE 0.5 ldiagpmul NE 0.5 ldiagpmul ldiagpadd /E ldiagpointdef

     0 dg /S@ANGLE  ldiagangledef
    45 dg /SE@ANGLE ldiagangledef
    90 dg /E@ANGLE  ldiagangledef
   135 dg /NE@ANGLE ldiagangledef
   180 dg /N@ANGLE  ldiagangledef
   225 dg /NW@ANGLE ldiagangledef
   270 dg /W@ANGLE  ldiagangledef
   315 dg /SW@ANGLE ldiagangledef

   [ CTR NE ldiagpsub /ldiagboxcircum cvx ] ldiagcircumdef
   SW SE NE NW SW
} def

% shape and labels of the @Diamond symbol
/ldiagdiamond
{
   xsize 0 0.5 ldiagpmul /S   ldiagpointdef
   0 ysize 0.5 ldiagpmul /W   ldiagpointdef
   S W         ldiagpadd /CTR ldiagpointdef
   CTR W       ldiagpadd /N   ldiagpointdef
   CTR S       ldiagpadd /E   ldiagpointdef
   E N ldiagpadd 0.5 ldiagpmul /NE ldiagpointdef
   N W ldiagpadd 0.5 ldiagpmul /NW ldiagpointdef
   S W ldiagpadd 0.5 ldiagpmul /SW ldiagpointdef
   S E ldiagpadd 0.5 ldiagpmul /SE ldiagpointdef

     0 dg        /S@ANGLE  ldiagangledef
    90 dg        /E@ANGLE  ldiagangledef
   180 dg        /N@ANGLE  ldiagangledef
   270 dg        /W@ANGLE  ldiagangledef
   S E ldiagangleto /SE@ANGLE ldiagangledef
   E N ldiagangleto /NE@ANGLE ldiagangledef
   N W ldiagangleto /NW@ANGLE ldiagangledef
   W S ldiagangleto /SW@ANGLE ldiagangledef

   [ xsize ysize 0.5 ldiagpmul /ldiagdiamondcircum cvx ] ldiagcircumdef
   S E N W S
} def

% shape and labels of the @Ellipse symbol
/ldiagellipse
{
   xsize 0 0.5 ldiagpmul /S   ldiagpointdef
   0 ysize 0.5 ldiagpmul /W   ldiagpointdef
   S W         ldiagpadd /CTR ldiagpointdef
   CTR W       ldiagpadd /N   ldiagpointdef
   CTR S       ldiagpadd /E   ldiagpointdef
   CTR xsize 0 0.3536 ldiagpmul ldiagpadd 0 ysize 0.3536 ldiagpmul ldiagpadd /NE ldiagpointdef
   0 ysize 0.3536 ldiagpmul CTR xsize 0 0.3536 ldiagpmul ldiagpadd ldiagpsub /SE ldiagpointdef
   xsize 0 0.3536 ldiagpmul CTR ldiagpsub 0 ysize 0.3536 ldiagpmul ldiagpadd /NW ldiagpointdef
   0 ysize 0.3536 ldiagpmul xsize 0 0.3536 ldiagpmul CTR ldiagpsub ldiagpsub /SW ldiagpointdef
   [ xsize ysize 0.5 ldiagpmul /ldiagellipsecircum cvx ] ldiagcircumdef

     0 dg /S@ANGLE  ldiagangledef
    90 dg /E@ANGLE  ldiagangledef
   180 dg /N@ANGLE  ldiagangledef
   270 dg /W@ANGLE  ldiagangledef

   S E ldiagangleto /SE@ANGLE ldiagangledef
   E N ldiagangleto /NE@ANGLE ldiagangledef
   N W ldiagangleto /NW@ANGLE ldiagangledef
   W S ldiagangleto /SW@ANGLE ldiagangledef

   S [ CTR ] E [ CTR ] N [ CTR ] W [ CTR ] S
} def

% shape and labels of the @Circle symbol
/ldiagcircle
{
   xsize ysize 0.5 ldiagpmul /CTR ldiagpointdef
   CTR xsize 0 ysize 0 ldiagpmax 0.5 ldiagpmul ldiagpadd /E ldiagpointdef
   CTR 0 0 CTR E ldiagdistance 45 ldiagatangle ldiagpadd /NE ldiagpointdef
   CTR 0 0 CTR E ldiagdistance 90 ldiagatangle ldiagpadd /N ldiagpointdef
   CTR 0 0 CTR E ldiagdistance 135 ldiagatangle ldiagpadd /NW ldiagpointdef
   CTR 0 0 CTR E ldiagdistance 180 ldiagatangle ldiagpadd /W ldiagpointdef
   CTR 0 0 CTR E ldiagdistance 225 ldiagatangle ldiagpadd /SW ldiagpointdef
   CTR 0 0 CTR E ldiagdistance 270 ldiagatangle ldiagpadd /S ldiagpointdef
   CTR 0 0 CTR E ldiagdistance 315 ldiagatangle ldiagpadd /SE ldiagpointdef
   [ S E ldiagpsub /ldiagellipsecircum cvx ] ldiagcircumdef

     0 dg /S@ANGLE  ldiagangledef
    45 dg /SE@ANGLE ldiagangledef
    90 dg /E@ANGLE  ldiagangledef
   135 dg /NE@ANGLE ldiagangledef
   180 dg /N@ANGLE  ldiagangledef
   225 dg /NW@ANGLE ldiagangledef
   270 dg /W@ANGLE  ldiagangledef
   315 dg /SW@ANGLE ldiagangledef

   S [ CTR ] E [ CTR ] N [ CTR ] W [ CTR ] S
} def

% shape and labels of the @VLine and @VArrow symbols
/ldiagvline
{
   xmark ysize ldiagprevious /FROM ldiagpointdef
   xmark 0 ldiagprevious /TO ldiagpointdef
} def

% points of a polygon around base with given no of sides, vert init angle:
% <sides> <angle> ldiagpolygon <point> ... <point>
/ldiagpolygon
{  exch round cvi exch
   xsize ysize 0.5 ldiagpmul /CTR ldiagpointdef
   90 sub CTR 2 copy ldiagmax 5 3 roll
   [ 4 copy pop /ldiagpolycircum cvx ] ldiagcircumdef
   exch dup 360 exch div exch
   1 1  3 2 roll
   {  4 string cvs (P) exch ldiagconcat
      3 copy exch pop (@ANGLE) ldiagconcat cvn exch 90 add exch ldiagangledef
      cvn 6 copy pop pop ldiagatangle 2 copy 10 2 roll
      3 2 roll ldiagpointdef
      dup 3 1 roll add exch
   }  for
   pop ldiagatangle
} def

% shape and labels of the @Isosceles triangle symbol
/ldiagisosceles
{
   xsize ysize 0.5 ldiagpmul /CTR ldiagpointdef
   0     0                   /SW  ldiagpointdef
   xsize 0                   /SE  ldiagpointdef
   xsize 0.5 mul ysize       /N   ldiagpointdef
   xsize 0.5 mul 0           /S   ldiagpointdef
   SE 0.5 ldiagpmul N 0.5 ldiagpmul ldiagpadd /NE ldiagpointdef
   SW 0.5 ldiagpmul N 0.5 ldiagpmul ldiagpadd /NW ldiagpointdef

   [ xsize ysize /ldiagisoscelescircum cvx ] ldiagcircumdef

     0 dg              /SW@ANGLE ldiagangledef
     0 dg              /SE@ANGLE ldiagangledef
   180 dg              /N@ANGLE  ldiagangledef
     0 dg              /S@ANGLE  ldiagangledef
     SE N ldiagangleto /NE@ANGLE ldiagangledef
     N SW ldiagangleto /NW@ANGLE ldiagangledef

   SW SE N SW
} def

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

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

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

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

% get next item:  <array> <index> ldiaggetnextitem <array> <index> 0
%                                              or <array> <index> <array> 1
%                                              or <array> <index> <point> 2
/ldiaggetnextitem
{   ldiaggetnext
    {	ldiagisarraytype
	{   1
	}
	{   ldiagisnumbertype
	    {	3 1 roll
		ldiaggetnext
		{   ldiagisnumbertype
		    {	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

% approximate equality: num1 num2  approxeq  <boolean>
/approxeq
{ dup 0 eq
  { pop 0 eq
  }
  { dup 3 1 roll sub exch div abs 0.001 lt
  } ifelse
} def

% set arc path:  bool x1 y1  x2 y2  x0 y0  ldiagsetarc  <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>.
/ldiagsetarc
{
  % (Entering ldiagsetarc) 7 ldiagdebugprint
  20 dict begin
     matrix currentmatrix 8 1 roll
     2 copy translate 2 copy 8 2 roll
     4 2 roll ldiagpsub 6 2 roll ldiagpsub
     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
     /dist1 0 0 x1 y1 ldiagdistance def
     /dist2 0 0 x2 y2 ldiagdistance def

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

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

     da 0 gt db 0 gt and
     {
	% (  case 1, ellipse) 0 ldiagdebugprint
	/LMax da sqrt db sqrt ldiagmax 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 ldiagangleto
	0 0 x2 scalex mul y2 scaley mul ldiagangleto
	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  ldiagpi mul LMax mul 180 div
     }
     {
	dist1 dist2 approxeq
	% x1 y1 dist1 (  x1 y1, d) 3 ldiagdebugprint pop pop pop
	% x2 y2 dist2 (  x2 y2, d) 3 ldiagdebugprint pop pop pop
	{
		% (  case 2, circle) 0 ldiagdebugprint
		0 0
		dist1
		0 0 x1 y1 ldiagangleto
		0 0 x2 y2 ldiagangleto
		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
		ldiagpi mul dist1 mul 180 div
	}
	{
		% (  case 3, line) 0 ldiagdebugprint
		x2 y2 lineto pop
		x2 y2 x1 y1 ldiagangleto
		x1 y1 x2 y2 ldiagangleto
		x1 y1 x2 y2 ldiagdistance
	} ifelse
     } ifelse
     4 -1 roll setmatrix
     end
  % (Leaving ldiagsetarc) 3 ldiagdebugprint
} def

% ldiagsetcurve: 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 ldiagsetcurve <angle> <angle> <length>
/ldiagsetcurve
{ 8 copy curveto pop pop
  ldiagangleto
  5 1 roll
  4 2 roll ldiagangleto
  exch
  0
} def

% ldiagsetpath: convert a Diag path into a PostScript path
% [ shape ] ldiagsetpath 
/ldiagsetpath
{
  10 dict begin
    0 newpath
    /prevseen false def
    /curveseen false def
    { ldiaggetnextitem
      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
		ldiagsetcurve 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
	        ldiagsetarc 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
  end
} def

% ldiagpaintpath: paint a path of the given shape
% /paint [ shape ] ldiagpaintpath -
/ldiagpaintpath
{
  ldiagsetpath cvx exec
} 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] ldiagdopath  [<point> <angle>] [<point> <angle>] 
/ldiagdopath
{
  10 dict begin
    0
    /prevseen  false def
    /curveseen false def
    /backarrow []    def
    /fwdarrow  []    def
    {
	ldiaggetnextitem
	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 ldiagsetcurve
			}
			{   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
			    ldiagsetarc
			} ifelse
		    }
		    {	xcurr ycurr lineto
			xcurr ycurr xprev yprev ldiagangleto dup 180 sub
			xprev yprev xcurr ycurr ldiagdistance
		    } 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


% stroke a path of the given shape in the given linestyle and dash length.
% dashlength [ /linestyle ] [shape] ldiagdosegpath  -
/ldiagdosegpath
{
  12 dict begin
    1 index /seg exch def
    1 index length /seglength exch def
    0 /segcount exch def
    0
    /prevseen  false def
    /curveseen false def
    /backarrow []    def
    /fwdarrow  []    def
    {
	ldiaggetnextitem
	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 ldiagsetcurve
			}
			{   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
			    ldiagsetarc
			} ifelse
		    }
		    {	xcurr ycurr lineto
			xcurr ycurr xprev yprev ldiagangleto dup 180 sub
			xprev yprev xcurr ycurr ldiagdistance
		    } ifelse
		    6 index seg segcount seglength mod get cvx exec
		    /segcount segcount 1 add def
		    [ 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
  end
} def

% ldiagnodebegin: start of node parameters
% ldiagnodebegin -
/ldiagnodebegin
{ % (Entering ldiagnodebegin) 0 ldiagdebugprint
  ldiagmaxlabels dict begin 
} def

% ldiagnodeend: end of node parameters (so do the node)
% <outline> <dashlength> <style> <linewidth> <paint> ldiagnodeend -
/ldiagnodeend
{
  % (Entering ldiagnodeend) 0 ldiagdebugprint
  end % matches begin in ldiagnodebegin
  4 index gsave ldiagpaintpath grestore
  3 index ldiagsetpath clip newpath
  2 mul setlinewidth
  3 -1 roll ldiagdosegpath
  % (Leaving ldiagnodeend) 0 ldiagdebugprint
} def

% ldiaglinkbegin: start of link parameters
% <direct> ldiaglinkbegin -
/ldiaglinkbegin
{ ldiagmaxlabels dict begin 
  1 eq /direct exch def
} def

% ldiaglinkend: end of link parameters (so do the link)
% <outline> <dashlength> <style> <linewidth> ldiaglinkend -
/ldiaglinkend
{
  end % matches begin in ldiaglinkbegin
  setlinewidth
  3 -1 roll ldiagdosegpath
} def

% ldiagdoarrow: draw an arrow head of given form
% dashlength /lstyle /pstyle hfrac height width [ <point> <angle> ] ldiagdoarrow -
/ldiagdoarrow
{  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 ldiagpaintpath grestore ldiagdopath pop pop
   setmatrix
} def

% arrow head styles
/ldiagopen     0.0 def
/ldiaghalfopen 0.5 def
/ldiagclosed   1.0 def

% stroke no arrows, forward, back, and both
/ldiagnoarrow { pop pop pop pop pop pop pop pop                        } def
/ldiagforward { 7 -1 roll ldiagdoarrow pop                              } def
/ldiagback    { 8 -2 roll pop ldiagdoarrow                              } def
/ldiagboth    { 8 -1 roll 7 copy ldiagdoarrow pop 7 -1 roll ldiagdoarrow } def

% ldiagprevious: return previous point on path
/ldiagprevious
{ ldiagisnumbertype
  { 2 copy }
  { ldiagisarraytype
    { 2 index 2 index }
    { 0 0 }
    ifelse
  } ifelse
} def

% Tag dictionary operators
%
% Diag's tag dictionaries are kept on the same stack as other dictionaries,
% since there is nowhere else to put them.  However, they are managed like
% a separate stack using the following operators:
%
%  <tag>  ldiagpushtagdict  -      Push a new, empty tag dictionary
%         ldiagtoptagdict   dict   Find the top tag dictionary
%         ldiagpoptagdict   -      Pop and destroy the top tag dictionary
%         ldiagpopuptagdict -      Pop top tag dict and promote its entries
%         ldiagdebugtagdict -      Debug print of dictionary stack
%
% They are distinguished from other dictionaries by containing /ldiagtagdict,
% whose value is the <tag> which is used by ldiagpopuptagdict,
% and they are hopefully never the target of any non-tag definition because
% they are never the top dictionary, since push places the new dict second.

/ldiagpushtagdict
{ ldiagmaxlabels dict dup
  currentdict end exch begin begin
  exch /ldiagtagdict exch put
} def

/ldiagtoptagdict
{ /ldiagtagdict where not
  { (Diag internal error: no tag dictionary) show stop
  } if
} def

/ldiagpoptagdict
{
  % (Entering poptagdict) 0 ldiagdebugprint
  % ldiagdebugtagdict
  mark
  { currentdict end
    dup /ldiagtagdict known
    { exit
    } if
  } loop
  pop
  counttomark
  { begin
  } repeat
  pop
  % (Leaving poptagdict) 0 ldiagdebugprint
  % ldiagdebugtagdict
} def

% promote labels from top tag dictionary to second top tag dictionary
% each prefixed by <string>@ if <string> (value of /ldiagtagdict) is not empty
% - ldiagpopuptagdict -
/ldiagpopuptagdict
{
  ldiagtagdict
  % (Entering ldiagpopuptagdict) 1 ldiagdebugprint
  % ldiagdebugtagdict
  ldiagtoptagdict ldiagpoptagdict ldiagtoptagdict exch
  { exch 50 string cvs 3 index
    dup length 0 ne
    { (@) ldiagconcat
    } if
    exch ldiagconcat cvn exch 2 index 3 1 roll put
  } forall
  pop pop
  % (Leaving ldiagpopuptagdict) 0 ldiagdebugprint
  % ldiagdebugtagdict
} def

% debug tag dictionary stack
/ldiagdebugtagdict
{ (Entering ldiagdebugtagdict) 0 ldiagdebugprint
  30 array dictstack
  { dup /ldiagtagdict known
    { dup /ldiagtagdict get 0 ldiagdebugprint
      { pop 50 string cvs (   ) exch ldiagconcat
	dup 0 ldiagdebugprint
	pop
      }
      forall
    }
    { pop (other) 0 ldiagdebugprint
    } ifelse
  } forall
  (Leaving ldiagdebugtagdict) 0 ldiagdebugprint
} def

% label a point in top tag dictionary:  <point> /name ldiagpointdef -
/ldiagpointdef
{
  % (Entering ldiagpointdef) 3 ldiagdebugprint
  [ 4 2 roll transform /itransform cvx ] cvx
  ldiagtoptagdict 3 1 roll put
  % (Leaving ldiagpointdef) 0 ldiagdebugprint
} def

% label an angle in top tag dictionary:  <angle> /name ldiagangledef -
/ldiagangledef
{
  % (Entering ldiagangledef) 2 ldiagdebugprint
  exch ldiagfixangle ldiagtoptagdict 3 1 roll put
  % (Leaving ldiagangledef) 0 ldiagdebugprint
} def

% add CIRCUM operator with this body:  <array> ldiagcircumdef -
/ldiagcircumdef
{   % (Entering ldiagcircumdef) 1 ldiagdebugprint
    /CIRCUM exch cvx
    ldiagtoptagdict 3 1 roll put
    % currentdict end
    % 3 1 roll
    % def
    % begin
    % (Leaving ldiagcircumdef) 0 ldiagdebugprint
} def

% show points (except CIRCUM and ANGLE): - ldiagshowpoints -
/ldiagshowpoints
{
  % (Entering ldiagshowpoints) 0 ldiagdebugprint
  ldiagtoptagdict
  { 1 index 50 string cvs
    (ldiagdebugpos) search
    { pop pop pop pop pop }
    {
      (CIRCUM) search % if CIRCUM in key
      { pop pop pop pop pop }
      { 
        (ANGLE) search % if ANGLE in key
        {
          pop pop pop pop pop
        }
        {
          (ldiagtagdict) search
          {
            pop pop pop pop pop
          }
          {
	    pop cvx exec
	    newpath 2.0 pt 0 360 arc 0 setgray fill pop
          } ifelse
        } ifelse
      } ifelse
    } ifelse
  } forall
  % (Leaving ldiagshowpoints) 0 ldiagdebugprint
} def


/ldiagshowtags
{
  % (Entering ldiagshowtags) 0 ldiagdebugprint
  ldiagtoptagdict
  { 1 index 50 string cvs
    % dup 0 ldiagdebugprint
    (ldiagdebugpos) search
    { pop pop pop pop pop }
    {
      (CIRCUM) search % if CIRCUM in key
      { pop pop pop pop pop }
      { 
        (ANGLE) search % if ANGLE in key
        {
          pop pop pop pop pop
        }
        {
          (ldiagtagdict) search
          {
            pop pop pop pop pop
          }
          {
	    pop cvx exec 2 copy
	    gsave
	    newpath 2.0 pt 0 360 arc 0 setgray fill
            /Times-Roman findfont 8 pt scalefont setfont
            translate 40 rotate 0.2 cm 0.1 cm moveto 20 string cvs show
	    grestore
          } ifelse
        } ifelse
      } ifelse
    } ifelse
  } forall
  % (Leaving ldiagshowtags) 0 ldiagdebugprint
} def


% show angles: - ldiagshowangles -
/ldiagshowangles
{
  % (Entering ldiagshowangles) 0 ldiagdebugprint
  ldiagtoptagdict
  { 1 index 20 string cvs
    % dup 0 ldiagdebugprint
    (ldiagdebugpos) search
    { pop pop pop pop pop }
    {
      (ldiagtagdict) search
      {
        pop pop pop pop pop
      }
      {
        (CIRCUM) search % if CIRCUM in key
        { pop pop pop pop pop }
        { 
          (@ANGLE) search % if ANGLE in key, draw the angle at the point
          {
            % (showing ANGLE) 5 ldiagdebugprint
            gsave exch pop exch pop cvx
            % (about to execute) 1 ldiagdebugprint
            exec translate rotate 0.8 0.8 scale pop
            newpath 0 0 2.0 pt 0 360 arc 0 setgray fill
            newpath 4 pt 0 moveto 9 pt 0 lineto
            9 pt 1.5 pt lineto 11 pt 0 lineto 9 pt -1.5 pt lineto
            9 pt 0 lineto [] 0 setdash 4 pt setlinewidth 0 setlinejoin
	    stroke grestore
            % (finished ANGLE) 5 ldiagdebugprint
          }
          {
            % else must be a point, we aren't showing those
            pop pop pop
          } ifelse
        } ifelse
      } ifelse
    } ifelse
  } forall
  % (Leaving ldiagshowangles) 0 ldiagdebugprint
} def

% fix an angle to 0 <= res < 360:  <angle> ldiagfixangle <angle>
/ldiagfixangle
{
  % (Entering ldiagfixangle) 1 ldiagdebugprint
  { dup 0 ge { exit } if
    360 add
  } loop
  { dup 360 lt { exit } if
    360 sub
  } loop
  % (Leaving ldiagfixangle) 1 ldiagdebugprint
} def

% find point on circumference of box:  alpha a b ldiagboxcircum x y
/ldiagboxcircum
{
  % (Entering ldiagboxcircum) 3 ldiagdebugprint
  4 dict begin
    /b exch def
    /a exch def
    ldiagfixangle /alpha exch def
    0 0 a b ldiagangleto /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 ldiagboxcircum) 2 ldiagdebugprint
} def

% find quadratic roots (assume a != 0): a b c ldiagqroots x1 x2 2
%                                                     or    x2 1
%                                                     or       0
/ldiagqroots
{
  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> ldiagquadrant <0-3>
/ldiagquadrant
{ 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 ldiagcb x y
/ldiagcb
{
  6 dict begin
    /xmk exch def
    /b exch def
    /a exch def
    /alpha exch def
    /theta1 0 0 a b xmk sub ldiagangleto def
    /theta2 0 0 a xmk sub b ldiagangleto 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 ldiagcircleintersect
	dup 0 eq
	{ % should never happen, just return any reasonable point
	  pop
	  a b 0.5 ldiagpmul
	}
	{ 1 eq
	  { % should never happen, just return the point on top of stack
	  }
	  { % the usual case, two points on stack, return the larger
	    ldiagpmax
	  } ifelse
	} ifelse
      } ifelse
    } ifelse
  end
} def

% find point on circumference of curvebox: alpha a b xmk ldiagcurveboxcircum x y
/ldiagcurveboxcircum
{
  % (Entering ldiagcurveboxcircum) 4 ldiagdebugprint
  5 dict begin
    /xmk exch def
    /b exch def
    /a exch def
    ldiagfixangle /alpha exch def

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

% find point on circumference of diamond:  alpha a b ldiagdiamondcircum x y
/ldiagdiamondcircum
{
  % (Entering ldiagdiamondcircum) 3 ldiagdebugprint
  4 dict begin
    /b exch def
    /a exch def
    ldiagfixangle /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 ldiagdiamondcircum) 2 ldiagdebugprint
} def

% find point on circumference of ellipse:  alpha a b ldiagellipsecircum x y
/ldiagellipsecircum
{
  % (Entering ldiagellipsecircum) 3 ldiagdebugprint
  4 dict begin
    /b exch def
    /a exch def
    ldiagfixangle /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 ldiagellipsecircum) 2 ldiagdebugprint
} def

% find point on circumference of isosceles:  alpha a b ldiagisoscelescircum x y
/ldiagisoscelescircum
{
  % (Entering ldiagisoscelescircum) 3 ldiagdebugprint
  7 dict begin
    /b exch def
    /a exch def
    /alpha exch ldiagfixangle def
    /theta1 90 def
    /theta2 a b 0.5 ldiagpmul 0 0 ldiagangleto def
    /theta3 a b 0.5 ldiagpmul a 0 ldiagangleto def
    alpha theta1 ge alpha theta2 le and
    { 0 0 a 2 div b
    }
    { alpha theta2 ge alpha theta3 le and
      { 0 0 a 0
      }
      { a 0 a 2 div b
      } ifelse
    } ifelse
    a 2 div b 2 div 2 copy 1 ft alpha ldiagatangle ldiaglineintersect
    a 2 div b 2 div 4 2 roll ldiagpsub
  end
  % (Leaving ldiagisoscelescircum) 2 ldiagdebugprint
} def

% find point of intersection of two lines each defined by two points
% x1 y1 x2 y2  x3 y3 x4 y4  ldiaglineintersect x y
/ldiaglineintersect
{
  % (Entering ldiaglineintersect) 8 ldiagdebugprint
  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 ldiaglineintersect) 2 ldiagdebugprint
} def

% find point on circumference of polygon
% alpha radius num theta ldiagpolycircum x y
/ldiagpolycircum
{
  % (Entering ldiagpolycircum) 4 ldiagdebugprint
  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 ldiagfixangle

    % 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
    ldiaglineintersect radius ldiagpmul

  end
  % (Leaving ldiagpolycircum) 2 ldiagdebugprint
} def

% find point of intersection of a line and a circle
% x0 y0 r  x1 y1 theta  ldiagcircleintersect xa ya xb yb 2
%                                        or       xb yb 1
%                                        or             0
/ldiagcircleintersect
{
  % (Entering ldiagcircleintersect) 6 ldiagdebugprint
  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 ldiagqroots 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 ldiagqroots 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 ldiagcircleintersect) 1 ldiagdebugprint
} def

% find line which is the perpendicular bisector of two points, defined
% by two points
% x1 y1 x2 y2 ldiaglinebetween x3 y3 x4 y4
/ldiaglinebetween
{ % (Entering ldiaglinebetween) 4 ldiagdebugprint
  /y2 exch def /x2 exch def
  /y1 exch def /x1 exch def

  % let x3, y3 be the point halfway between the two points
  x1 y1 x2 y2 ldiagpadd 0.5 ldiagpmul
  /y3 exch def /x3 exch def

  % find a point perpendicular to x3, y3
  x3 y3 50 x1 y1 x2 y2 ldiagangleto 90 dg add ldiagatangle

  % plus x3 y3 gives the two points
  x3 y3

  % (Leaving ldiaglinebetween) 4 ldiagdebugprint
} def

% find <proc>@<string>:  <proc> <string> ldiagfindlabel <any> true
%                                                      <proc> <string> false
/ldiagfindlabel
{
  % (Entering ldiagfindlabel) 2 ldiagdebugprint
  exch dup length 1 ne
  { exch false
    % (Leaving ldiagfindabel (length not 1)) 3 ldiagdebugprint
  }
  { dup 0 get type /nametype ne
    { exch false
      % (Leaving ldiagfindabel (not a name)) 3 ldiagdebugprint
    }
    { dup 0 get 50 string cvs (@) ldiagconcat 2 index ldiagconcat dup where
      { exch get exch pop exch pop cvx exec true
	% (Leaving ldiagfindlabel with success) 100 ldiagdebugprint
      }
      {
	pop exch false
	% (Leaving ldiagfindabel (concat not sensible)) 3 ldiagdebugprint
      } ifelse
    } ifelse
  } ifelse
} bind def

% execute <proc>@<string> or else default:  <proc> <string> ldiagdolabel <various>
/ldiagdolabel
{
  % (Entering ldiagdolabel) 2 ldiagdebugprint
  ldiagfindlabel not
  {
    dup (CIRCUM) eq
    { pop pop pop 0 0
    }
    {
      dup (ANGLE) eq
      { pop pop 0
      }
      { pop cvx exec
      } ifelse
    } ifelse
  } if
  % (Leaving ldiagdolabel) 2 ldiagdebugprint
} bind def

% execute a proc depending on whether number is negative, zero, or positive
% procneg proczero procpos number ldiagsigncase <anything>
/ldiagsigncase
{
  % (Entering ldiagsigncase) 4 ldiagdebugprint
  dup 0 lt
  { pop pop pop exec
  }
  { 0 gt
    { exch pop exch pop exec
    }
    { pop exch pop exec
    } ifelse
  } ifelse
  % (Leaving ldiagsigncase) 0 ldiagdebugprint
} bind def

% execute proci if angle is in ith quadrant
% proc45 proc270 proc180 proc90 proc0 proc315 proc225 proc135 angle ldiagquadcase <anything>
/ldiagquadcase
{
  % (Entering ldiagquadcase) 9 ldiagdebugprint
  round ldiagfixangle cvi dup 90 mod 0 eq
  { 90 idiv 4 add } { 90 idiv } ifelse
  8 exch roll pop pop pop pop pop pop pop exec
  % (Leaving ldiagquadcase) 0 ldiagdebugprint
} bind def

% decode Lout length into PostScript length
% <string> ldiagdecodelength <number>
/ldiagdecodelength
{
  % (Entering ldiagdecodelength) 1 ldiagdebugprint
  (f) search
  { exch pop exch pop cvr ft
  }
  { (c) search
    { exch pop exch pop cvr cm
    }
    { (p) search
      { exch pop exch pop cvr pt
      }
      { (m) search
	{ exch pop exch pop cvr em
	}
	{ (s) search
	  { exch pop exch pop cvr sp
	  }
	  { (v) search
	    { exch pop exch pop cvr vs
	    }
	    { (i) search
	      { exch pop exch pop cvr in
	      }
	      { pop 0
	      } ifelse
	    } ifelse
	  } ifelse
	} ifelse
      } ifelse
    } ifelse
  } ifelse
  % (Leaving ldiagdecodelength) 1 ldiagdebugprint
} def

% implement aabout function
% logical form:  <circum> <extra> <centre> aabout <point>
% actual form:   { <labelorpoint> } cvlit <length> [ <point> ] cvx aabout <point>
/ldiagaabout
{
  /centre exch def
  /extra exch def
  /circum exch def

  /ZXCTR [ centre ] cvx def
  /ZFCTR [ circum (CTR) ldiagdolabel ] cvx def
  /ZAREF ZFCTR ZXCTR ldiagangleto def
  /ZAMIN 0 dg def
  /ZPMIN [ circum (CTR) ldiagdolabel ZAREF ZAMIN sub
	 circum (CIRCUM) ldiagdolabel ldiagpadd
	 0 0 extra ZAREF ZAMIN sub ldiagatangle
	 ldiagpadd ] cvx def

  /ZAMAX 90 dg def
  /ZPMAX [ circum (CTR) ldiagdolabel ZAREF ZAMAX sub
	 circum (CIRCUM) ldiagdolabel ldiagpadd
	 0 0 extra ZAREF ZAMAX sub ldiagatangle
	 ldiagpadd ] cvx def

  1 1 20
  { /xval exch def
    /ZAMID ZAMIN ZAMAX add 0.5 mul def
    /ZPMID [ circum (CTR) ldiagdolabel ZAREF ZAMID sub
	   circum (CIRCUM) ldiagdolabel ldiagpadd
	   0 0 extra ZAREF ZAMID sub ldiagatangle
	   ldiagpadd ] cvx def
    ZPMID ZXCTR ldiagdistance ZFCTR ZXCTR ldiagdistance gt
    {
      /ZAMAX [ ZAMID ] cvx def
      /ZPMAX [ ZPMID ] cvx def
    }
    {
      /ZAMIN [ ZAMID ] cvx def
      /ZPMIN [ ZPMID ] cvx def
    } ifelse
  } for
  ZPMID
} def

% implement cabout function
% logical form:  <circum> <extra> <centre> cabout <point>
% actual form:   { <labelorpoint> } cvlit <length> [ <point> ] cvx cabout <point>
/ldiagcabout
{
  /centre exch def
  /extra exch def
  /circum exch def

  /ZXCTR [ centre ] cvx def
  /ZFCTR [ circum (CTR) ldiagdolabel ] cvx def
  /ZAREF ZFCTR ZXCTR ldiagangleto def
  /ZAMIN 0 dg def
  /ZPMIN [ circum (CTR) ldiagdolabel ZAREF ZAMIN add
	 circum (CIRCUM) ldiagdolabel ldiagpadd
	 0 0 extra ZAREF ZAMIN add ldiagatangle
	 ldiagpadd ] cvx def

  /ZAMAX 90 dg def
  /ZPMAX [ circum (CTR) ldiagdolabel ZAREF ZAMAX add
	 circum (CIRCUM) ldiagdolabel ldiagpadd
	 0 0 extra ZAREF ZAMAX add ldiagatangle
	 ldiagpadd ] cvx def

  1 1 20
  { /xval exch def
    /ZAMID ZAMIN ZAMAX add 0.5 mul def
    /ZPMID [ circum (CTR) ldiagdolabel ZAREF ZAMID add
	   circum (CIRCUM) ldiagdolabel ldiagpadd
	   0 0 extra ZAREF ZAMID add ldiagatangle
	   ldiagpadd ] cvx def
    ZPMID ZXCTR ldiagdistance ZFCTR ZXCTR ldiagdistance gt
    {
      /ZAMAX [ ZAMID ] cvx def
      /ZPMAX [ ZPMID ] cvx def
    }
    {
      /ZAMIN [ ZAMID ] cvx def
      /ZPMIN [ ZPMID ] cvx def
    } ifelse
  } for
  ZPMID
} def

% fromarrowlength toarrowlength { from } { to } xindent zindent ldiaglinepath -
/ldiaglinepath
{
  % (entering ldiaglinepath) 0 ldiagdebugprint
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  from (CTR) ldiagdolabel to (CTR) ldiagdolabel ldiagangleto
  /FROM@ANGLE ldiagangledef 
  from (CTR) ldiagdolabel FROM@ANGLE from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength FROM@ANGLE ldiagatangle ldiagpadd
  /FROM ldiagpointdef

  FROM@ANGLE /TO@ANGLE ldiagangledef
  to (CTR) ldiagdolabel TO@ANGLE 180 dg sub to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength TO@ANGLE 180 dg sub ldiagatangle ldiagpadd /TO ldiagpointdef

  FROM 0.5 ldiagpmul TO 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  FROM@ANGLE /LMID@ANGLE ldiagangledef

  /XINDENT xindent FROM LMID ldiagdistance ldiagmin def
  FROM 0 0 XINDENT FROM@ANGLE ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef

  /ZINDENT zindent TO LMID ldiagdistance ldiagmin def
  0 0 ZINDENT FROM@ANGLE ldiagatangle TO ldiagpsub /LTO ldiagpointdef
  FROM@ANGLE /LTO@ANGLE ldiagangledef

  direct { FROM TO } { FROM LFROM LMID LTO TO } ifelse

  % (leaving ldiaglinepath) 0 ldiagdebugprint
} def

% fromarrowlength toarrowlength { from } { to } xindent zindent pathgap ldiagdoublelinepath -
/ldiagdoublelinepath
{
  % (entering ldiagdoublelinepath) 0 ldiagdebugprint
  /pathgap exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  from (CTR) ldiagdolabel to (CTR) ldiagdolabel ldiagangleto
  /FROM@ANGLE ldiagangledef 
  from (CTR) ldiagdolabel FROM@ANGLE from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength FROM@ANGLE ldiagatangle ldiagpadd
  /FROM ldiagpointdef

  FROM@ANGLE /TO@ANGLE ldiagangledef
  to (CTR) ldiagdolabel TO@ANGLE 180 dg sub to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength TO@ANGLE 180 dg sub ldiagatangle ldiagpadd /TO ldiagpointdef

  FROM 0.5 ldiagpmul TO 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  FROM@ANGLE /LMID@ANGLE ldiagangledef

  /XINDENT xindent FROM LMID ldiagdistance ldiagmin def
  FROM 0 0 XINDENT FROM@ANGLE ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef

  /ZINDENT zindent TO LMID ldiagdistance ldiagmin def
  0 0 ZINDENT FROM@ANGLE ldiagatangle TO ldiagpsub /LTO ldiagpointdef
  FROM@ANGLE /LTO@ANGLE ldiagangledef

  direct {
    FROM pathgap 2 div FROM@ANGLE 90 dg sub ldiagatangle
    TO   pathgap 2 div FROM@ANGLE 90 dg sub ldiagatangle
    []
    FROM pathgap 2 div FROM@ANGLE 90 dg add ldiagatangle
    TO   pathgap 2 div FROM@ANGLE 90 dg add ldiagatangle
  }
  {
    FROM  pathgap 2 div FROM@ANGLE 90 dg sub ldiagatangle
    LFROM pathgap 2 div FROM@ANGLE 90 dg sub ldiagatangle
    LMID  pathgap 2 div FROM@ANGLE 90 dg sub ldiagatangle
    LTO   pathgap 2 div FROM@ANGLE 90 dg sub ldiagatangle
    TO    pathgap 2 div FROM@ANGLE 90 dg sub ldiagatangle
    []
    FROM  pathgap 2 div FROM@ANGLE 90 dg add ldiagatangle
    LFROM pathgap 2 div FROM@ANGLE 90 dg add ldiagatangle
    LMID  pathgap 2 div FROM@ANGLE 90 dg add ldiagatangle
    LTO   pathgap 2 div FROM@ANGLE 90 dg add ldiagatangle
    TO    pathgap 2 div FROM@ANGLE 90 dg add ldiagatangle
  } ifelse

  % (leaving ldiagdoublelinepath) 0 ldiagdebugprint
} def

% fromarrowlen toarrowlen { from } { to } xindent zindent bias ldiagacurvepath -
/ldiagacurvepath
{
  % (entering ldiagacurvepath) 0 ldiagdebugprint
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  %/B1 bias 0.02 ft ldiagmax def
  %/B2 from (CTR) ldiagdolabel to (CTR) ldiagdolabel ldiagdistance 0.5 mul def
  %/BIAS B1 B2 ldiagmin def
  /BIAS bias 0.02 ft ldiagmax def
  /XMID [ from (CTR) ldiagdolabel 0.5 ldiagpmul
	  to   (CTR) ldiagdolabel 0.5 ldiagpmul ldiagpadd ] cvx def
  /XTOP [ XMID 0 0 BIAS from (CTR) ldiagdolabel to (CTR) ldiagdolabel
	  ldiagangleto 90 dg sub ldiagatangle ldiagpadd ] cvx def
  /CTR [ from (CTR) ldiagdolabel XTOP ldiaglinebetween
	 to   (CTR) ldiagdolabel XTOP ldiaglinebetween
	 ldiaglineintersect ] cvx def

  from fromarrowlength [ CTR ] cvx ldiagaabout /FROM ldiagpointdef
  from (CTR) ldiagdolabel FROM ldiagdistance 0 gt
  { from (CTR) ldiagdolabel FROM ldiagangleto
  }
  { CTR FROM ldiagangleto 90 dg add
  } ifelse /FROM@ANGLE ldiagangledef

  to toarrowlength [ CTR ] cvx ldiagcabout /TO ldiagpointdef
  TO to (CTR) ldiagdolabel ldiagdistance 0 gt
  { TO to (CTR) ldiagdolabel ldiagangleto
  }
  { CTR TO ldiagangleto 90 dg add
  } ifelse /TO@ANGLE ldiagangledef

  /RADIUS CTR FROM ldiagdistance def
  CTR 0 0 RADIUS CTR FROM ldiagangleto 360 dg CTR TO ldiagangleto
  add CTR FROM ldiagangleto sub cvi 360 mod 0.5 mul add
  ldiagatangle ldiagpadd /LMID ldiagpointdef
  CTR LMID ldiagangleto 90 dg add /LMID@ANGLE ldiagangledef

  /XINDENT xindent FROM LMID ldiagdistance ldiagmin def
  CTR 0 0 RADIUS CTR FROM 0 0 XINDENT FROM@ANGLE ldiagatangle
  ldiagpadd ldiagangleto ldiagatangle ldiagpadd /LFROM ldiagpointdef
  CTR LFROM ldiagangleto 90 dg add /LFROM@ANGLE ldiagangledef

  /ZINDENT zindent TO LMID ldiagdistance ldiagmin def
  CTR 0 0 RADIUS CTR TO 0 0 ZINDENT TO@ANGLE 180 dg add
  ldiagatangle ldiagpadd ldiagangleto ldiagatangle ldiagpadd /LTO ldiagpointdef
  CTR LTO ldiagangleto 90 dg add /LTO@ANGLE ldiagangledef

  direct
  { FROM [CTR] TO }
  { FROM [CTR] LFROM [CTR] LMID [CTR] LTO [CTR] TO }
  ifelse

  % (leaving ldiagacurvepath) 0 ldiagdebugprint
} def

% fromarrowlen toarrowlen { from } { to } xindent zindent bias ldiagccurvepath -
/ldiagccurvepath
{
  % (entering ldiagccurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  %/B1 bias 0.02 ft ldiagmax def
  %/B2 from (CTR) ldiagdolabel to (CTR) ldiagdolabel ldiagdistance 0.5 mul def
  %/BIAS B1 B2 ldiagmin def
  /BIAS bias 0.02 ft ldiagmax def
  /XMID [ from (CTR) ldiagdolabel 0.5 ldiagpmul
	to (CTR) ldiagdolabel 0.5 ldiagpmul ldiagpadd ] cvx def
  /XTOP [ XMID 0 0 BIAS from (CTR) ldiagdolabel to (CTR) ldiagdolabel
	ldiagangleto 90 dg add ldiagatangle ldiagpadd ] cvx def
  /CTR [ from (CTR) ldiagdolabel XTOP ldiaglinebetween
         to (CTR) ldiagdolabel XTOP ldiaglinebetween ldiaglineintersect ] cvx def

  from fromarrowlength [ CTR ] cvx ldiagcabout /FROM ldiagpointdef
  from (CTR) ldiagdolabel FROM ldiagdistance 0 gt
  { from (CTR) ldiagdolabel FROM ldiagangleto }
  { CTR FROM ldiagangleto 90 dg sub }
  ifelse /FROM@ANGLE ldiagangledef

  to toarrowlength [ CTR ] cvx ldiagaabout /TO ldiagpointdef
  TO to (CTR) ldiagdolabel ldiagdistance 0 gt
  { TO to (CTR) ldiagdolabel ldiagangleto }
  { CTR TO ldiagangleto 90 dg sub }
  ifelse /TO@ANGLE ldiagangledef

  /RADIUS [ CTR FROM ldiagdistance ] cvx def
  CTR 0 0 RADIUS CTR TO ldiagangleto 360 dg CTR FROM ldiagangleto add
  CTR TO ldiagangleto sub cvi 360 cvi mod 2 div add ldiagatangle
  ldiagpadd /LMID ldiagpointdef
  CTR LMID ldiagangleto 90 dg sub /LMID@ANGLE ldiagangledef

  /XINDENT [ xindent FROM LMID ldiagdistance ldiagmin ] cvx def
  CTR 0 0 RADIUS CTR FROM 0 0 XINDENT FROM@ANGLE ldiagatangle ldiagpadd
  ldiagangleto ldiagatangle ldiagpadd /LFROM ldiagpointdef
  CTR LFROM ldiagangleto 90 dg sub /LFROM@ANGLE ldiagangledef

  /ZINDENT [ zindent TO LMID ldiagdistance ldiagmin ] cvx def
  CTR 0 0 RADIUS CTR TO 0 0 ZINDENT TO@ANGLE 180 dg add ldiagatangle
  ldiagpadd ldiagangleto ldiagatangle ldiagpadd /LTO ldiagpointdef
  CTR LTO ldiagangleto 90 dg sub /LTO@ANGLE ldiagangledef

  direct
  { FROM [CTR clockwise] TO }
  { FROM [CTR clockwise] LFROM [CTR clockwise]
  LMID [CTR clockwise] LTO [CTR clockwise] TO }
  ifelse
  % (leaving ldiagccurvepath) 0 ldiagdebugprint
} def


% farr tarr { from } { to } xindent zindent [frompt] [topt] ldiagbezierpath -
/ldiagbezierpath
{
  % (entering ldiagbezierpath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  cvx /topt exch def
  cvx /frompt exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  from (CTR) ldiagdolabel frompt ldiagangleto /FROM@ANGLE ldiagangledef
  from (CTR) ldiagdolabel FROM@ANGLE from (CIRCUM) ldiagdolabel
  ldiagpadd 0 0 fromarrowlength FROM@ANGLE ldiagatangle ldiagpadd
  /FROM ldiagpointdef

  topt to (CTR) ldiagdolabel ldiagangleto /TO@ANGLE ldiagangledef
  to (CTR) ldiagdolabel TO@ANGLE 180 dg add to (CIRCUM) ldiagdolabel
  ldiagpadd 0 0 toarrowlength TO@ANGLE 180 dg add ldiagatangle ldiagpadd
  /TO ldiagpointdef

  FROM 0 0 xindent FROM@ANGLE ldiagatangle ldiagpadd
  /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef

  TO 0 0 zindent TO@ANGLE 180 dg add ldiagatangle ldiagpadd
  /LTO ldiagpointdef
  TO@ANGLE /LTO@ANGLE ldiagangledef

  FROM TO ldiagpadd frompt ldiagpadd topt ldiagpadd 0.25 ldiagpmul
  /LMID ldiagpointdef

  FROM [frompt topt] TO

  % (leaving ldiagbezierpath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def


% farr tarr { from } { to } xindent zindent ldiagvhlinepath -
/ldiagvhlinepath
{
  % (entering ldiagvhlinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  /CTR [ from (CTR) ldiagdolabel pop to (CTR) ldiagdolabel exch pop ] cvx def
  /FANG [ from (CTR) ldiagdolabel CTR ldiagangleto ] cvx def
  /TANG [ to (CTR) ldiagdolabel CTR ldiagangleto ] cvx def

  from (CTR) ldiagdolabel FANG from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength FANG ldiagatangle ldiagpadd /FROM ldiagpointdef
  FANG /FROM@ANGLE ldiagangledef

  to (CTR) ldiagdolabel TANG to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength TANG ldiagatangle ldiagpadd /TO ldiagpointdef
  TANG 180 dg add /TO@ANGLE ldiagangledef

  /FDIST [ FROM CTR ldiagdistance ] cvx def
  /TDIST [ TO CTR ldiagdistance ] cvx def
  /XINDENT [ xindent FDIST ldiagmin ] cvx def
  /ZINDENT [ zindent TDIST ldiagmin ] cvx def
  FROM 0 0 XINDENT FANG ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef
  TO 0 0 ZINDENT TANG ldiagatangle ldiagpadd /LTO ldiagpointdef
  TO@ANGLE /LTO@ANGLE ldiagangledef

  CTR /LMID ldiagpointdef
  0 0 1 ft FANG 180 dg add ldiagatangle
  0 0 1 ft TANG 180 dg add ldiagatangle
  ldiagangleto /LMID@ANGLE ldiagangledef

  FROM LFROM LMID LTO TO

  % (leaving ldiagvhlinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent radius ldiagvhcurvepath -
/ldiagvhcurvepath
{
  % (entering ldiagvhcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /radius exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  /CTR [ from (CTR) ldiagdolabel pop to (CTR) ldiagdolabel exch pop ] cvx def
  /FANG [ from (CTR) ldiagdolabel CTR ldiagangleto ] cvx def
  /TANG [ to (CTR) ldiagdolabel CTR ldiagangleto ] cvx def

  from (CTR) ldiagdolabel FANG from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength FANG ldiagatangle ldiagpadd /FROM ldiagpointdef
  FANG /FROM@ANGLE ldiagangledef

  to (CTR) ldiagdolabel TANG to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength TANG ldiagatangle ldiagpadd /TO ldiagpointdef
  TANG 180 dg add /TO@ANGLE ldiagangledef

  /FDIST [ FROM CTR ldiagdistance ] cvx def
  /TDIST [ TO CTR ldiagdistance ] cvx def
  /RADIUS [ radius FDIST TDIST ldiagmin ldiagmin ] cvx def
  /XINDENT [ xindent FDIST RADIUS sub ldiagmin ] cvx def
  /ZINDENT [ zindent TDIST RADIUS sub ldiagmin ] cvx def

  FROM 0 0 XINDENT FANG ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef
  TO 0 0 ZINDENT TANG ldiagatangle ldiagpadd /LTO ldiagpointdef
  TO@ANGLE /LTO@ANGLE ldiagangledef

  /FCTR [ CTR 0 0 RADIUS FROM@ANGLE 180 dg add ldiagatangle ldiagpadd ] cvx def
  /TCTR [ CTR 0 0 RADIUS TO@ANGLE ldiagatangle ldiagpadd ] cvx def
  /XCTR [ CTR 0 0 RADIUS FROM@ANGLE 180 dg add ldiagatangle ldiagpadd
              0 0 RADIUS TO@ANGLE ldiagatangle ldiagpadd ] cvx def
  XCTR 0 0 RADIUS XCTR CTR ldiagangleto ldiagatangle ldiagpadd
  /LMID ldiagpointdef
  FCTR TCTR ldiagangleto /LMID@ANGLE ldiagangledef

  FROM LFROM FCTR
  {[XCTR clockwise]} {} {} {} {} {[XCTR]} {[XCTR clockwise]} {[XCTR]}
  FCTR TCTR ldiagangleto ldiagquadcase
  TCTR LTO TO

  % (leaving ldiagvhcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent ldiaghvlinepath -
/ldiaghvlinepath
{
  % (entering ldiaghvlinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  /CTR [ to (CTR) ldiagdolabel pop from (CTR) ldiagdolabel exch pop ] cvx def
  /FANG [ from (CTR) ldiagdolabel CTR ldiagangleto ] cvx def
  /TANG [ to (CTR) ldiagdolabel CTR ldiagangleto ] cvx def

  from (CTR) ldiagdolabel FANG from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength FANG ldiagatangle ldiagpadd /FROM ldiagpointdef
  FANG /FROM@ANGLE ldiagangledef

  to (CTR) ldiagdolabel TANG to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength TANG ldiagatangle ldiagpadd /TO ldiagpointdef
  TANG 180 dg add /TO@ANGLE ldiagangledef

  /FDIST [ FROM CTR ldiagdistance ] cvx def
  /TDIST [ TO CTR ldiagdistance ] cvx def
  /XINDENT [ xindent FDIST ldiagmin ] cvx def
  /ZINDENT [ zindent TDIST ldiagmin ] cvx def

  FROM 0 0 XINDENT FANG ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef
  TO 0 0 ZINDENT TANG ldiagatangle ldiagpadd /LTO ldiagpointdef
  TO@ANGLE /LTO@ANGLE ldiagangledef

  CTR /LMID ldiagpointdef
  0 0 1 ft FANG 180 dg add ldiagatangle
  0 0 1 ft TANG 180 dg add ldiagatangle ldiagangleto
  /LMID@ANGLE ldiagangledef

  FROM LFROM LMID LTO TO

  % (leaving ldiaghvlinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent radius ldiaghvcurvepath -
/ldiaghvcurvepath
{
  % (entering ldiaghvcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /radius exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  /CTR [ to (CTR) ldiagdolabel pop from (CTR) ldiagdolabel exch pop ] cvx def
  /FANG [ from (CTR) ldiagdolabel CTR ldiagangleto ] cvx def
  /TANG [ to (CTR) ldiagdolabel CTR ldiagangleto ] cvx def

  from (CTR) ldiagdolabel FANG from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength FANG ldiagatangle ldiagpadd /FROM ldiagpointdef
  FANG /FROM@ANGLE ldiagangledef

  to (CTR) ldiagdolabel TANG to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength TANG ldiagatangle ldiagpadd /TO ldiagpointdef
  TANG 180 dg add /TO@ANGLE ldiagangledef

  /FDIST [ FROM CTR ldiagdistance ] cvx def
  /TDIST [ TO CTR ldiagdistance ] cvx def
  /RADIUS [ radius FDIST TDIST ldiagmin ldiagmin ] cvx def
  /XINDENT [ xindent FDIST RADIUS sub ldiagmin ] cvx def
  /ZINDENT [ zindent TDIST RADIUS sub ldiagmin ] cvx def
  FROM 0 0 XINDENT FANG ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef
  TO 0 0 ZINDENT TANG ldiagatangle ldiagpadd /LTO ldiagpointdef
  TO@ANGLE /LTO@ANGLE ldiagangledef

  /FCTR [ CTR 0 0 RADIUS FROM@ANGLE 180 dg add ldiagatangle ldiagpadd ] cvx def
  /TCTR [ CTR 0 0 RADIUS TO@ANGLE ldiagatangle ldiagpadd ] cvx def
  /XCTR [ CTR 0 0 RADIUS FROM@ANGLE 180 dg add ldiagatangle ldiagpadd
	      0 0 RADIUS TO@ANGLE ldiagatangle ldiagpadd ] cvx def
  XCTR 0 0 RADIUS XCTR CTR ldiagangleto ldiagatangle ldiagpadd
  /LMID ldiagpointdef
  FCTR TCTR ldiagangleto /LMID@ANGLE ldiagangledef

  FROM LFROM FCTR
  {[XCTR]} {} {} {} {} {[XCTR clockwise]} {[XCTR]} {[XCTR clockwise]}
  FCTR TCTR ldiagangleto ldiagquadcase
  TCTR LTO TO

  % (leaving ldiaghvcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent bias ldiaglvrlinepath -
/ldiaglvrlinepath
{
  % (entering ldiaglvrlinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  from (CTR) ldiagdolabel 180 dg from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength 180 dg ldiagatangle ldiagpadd /FROM ldiagpointdef
  180 dg /FROM@ANGLE ldiagangledef

  to (CTR) ldiagdolabel 180 dg to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength 180 dg ldiagatangle ldiagpadd /TO ldiagpointdef
  0 dg /TO@ANGLE ldiagangledef

  /XLEFT [ FROM pop TO pop ldiagmin bias sub ] cvx def
  XLEFT FROM exch pop /P1 ldiagpointdef
  XLEFT TO exch pop /P2 ldiagpointdef
  /VERT [ P1 P2 ldiagangleto ] cvx def
  P1 P1 0 0 1 ft 180 dg ldiagatangle ldiagpadd 0 0 1 ft VERT ldiagatangle
  ldiagpadd ldiagangleto /P1@ANGLE ldiagangledef
  P2 P2 0 0 1 ft 0 dg ldiagatangle ldiagpadd 0 0 1 ft VERT ldiagatangle
  ldiagpadd ldiagangleto /P2@ANGLE ldiagangledef

  P1 0.5 ldiagpmul P2 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  VERT /LMID@ANGLE ldiagangledef

  /XINDENT [ xindent FROM P1 ldiagdistance ldiagmin ] cvx def
  /ZINDENT [ zindent P2 TO ldiagdistance ldiagmin ] cvx def
  XINDENT 0 FROM ldiagpsub /LFROM ldiagpointdef
  180 dg /LFROM@ANGLE ldiagangledef
  ZINDENT 0 TO ldiagpsub /LTO ldiagpointdef
  0 dg /LTO@ANGLE ldiagangledef

  FROM LFROM P1 LMID P2 LTO TO

  % (leaving ldiaglvrlinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent bias radius ldiaglvrcurvepath -
/ldiaglvrcurvepath
{
  % (entering ldiaglvrcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /radius exch def
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  from (CTR) ldiagdolabel 180 dg from (CIRCUM) ldiagdolabel ldiagpadd 0 0
  fromarrowlength 180 dg ldiagatangle ldiagpadd /FROM ldiagpointdef
  180 dg /FROM@ANGLE ldiagangledef
  to (CTR) ldiagdolabel 180 dg to (CIRCUM) ldiagdolabel ldiagpadd 0 0
  toarrowlength 180 dg ldiagatangle ldiagpadd /TO ldiagpointdef
  0 dg /TO@ANGLE ldiagangledef
  /XLEFT [ FROM pop TO pop ldiagmin bias sub ] cvx def
  /XP1 [ XLEFT FROM exch pop ] cvx def
  /XP2 [ XLEFT TO exch pop ] cvx def
  /VERT [ XP1 XP2 ldiagangleto ] cvx def
  XP1 0.5 ldiagpmul XP2 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  VERT /LMID@ANGLE ldiagangledef
  /XINDENT [ xindent FROM XP1 ldiagdistance ldiagmin ] cvx def
  /ZINDENT [ zindent XP2 TO ldiagdistance ldiagmin ] cvx def
  XINDENT 0 FROM ldiagpsub /LFROM ldiagpointdef
  180 dg /LFROM@ANGLE ldiagangledef
  ZINDENT 0 TO ldiagpsub /LTO ldiagpointdef
  0 dg /LTO@ANGLE ldiagangledef
  /RADIUS [ radius XP1 XP2 ldiagdistance 2 div ldiagmin ] cvx def
  /XP1PRE [ XP1 0 0 RADIUS 0 dg ldiagatangle ldiagpadd ] cvx def
  /XP1POST [ XP1 0 0 RADIUS VERT ldiagatangle ldiagpadd ] cvx def
  /XP1CTR [ XP1PRE 0 0 RADIUS VERT ldiagatangle ldiagpadd ] cvx def
  XP1CTR 0 0 RADIUS XP1CTR XP1 ldiagangleto ldiagatangle ldiagpadd
  /P1 ldiagpointdef
  XP1PRE XP1POST ldiagangleto /P1@ANGLE ldiagangledef
  /XP2PRE [ 0 0 RADIUS VERT ldiagatangle XP2 ldiagpsub ] cvx def
  /XP2POST [ XP2 0 0 RADIUS 0 dg ldiagatangle ldiagpadd ] cvx def
  /XP2CTR [ XP2PRE 0 0 RADIUS 0 dg ldiagatangle ldiagpadd ] cvx def
  XP2CTR 0 0 RADIUS XP2CTR XP2 ldiagangleto ldiagatangle ldiagpadd
  /P2 ldiagpointdef
  XP2PRE XP2POST ldiagangleto /P2@ANGLE ldiagangledef
  FROM LFROM XP1PRE
  {  } { [XP1CTR] P1 [XP1CTR] } {  } { [XP1CTR clockwise] P1 [XP1CTR clockwise] }
  {  } {  } {  } {  } VERT round ldiagquadcase
  XP1POST LMID XP2PRE
  {  } { [XP2CTR] P2 [XP2CTR] } {  } { [XP2CTR clockwise] P2 [XP2CTR clockwise] }
  {  } {  } {  } {  } VERT round ldiagquadcase
  XP2POST LTO TO

  % (leaving ldiaglvrcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent bias ldiagrvllinepath -
/ldiagrvllinepath
{
  % (entering ldiagrvllinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  from (CTR) ldiagdolabel 0 dg from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength 0 dg ldiagatangle ldiagpadd /FROM ldiagpointdef
  0 dg /FROM@ANGLE ldiagangledef
  to (CTR) ldiagdolabel 0 dg to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength 0 dg ldiagatangle ldiagpadd /TO ldiagpointdef
  180 dg /TO@ANGLE ldiagangledef
  /XRIGHT [ FROM pop TO pop ldiagmax bias add ] cvx def
  XRIGHT FROM exch pop /P1 ldiagpointdef
  XRIGHT TO exch pop /P2 ldiagpointdef
  /VERT [ P1 P2 ldiagangleto ] cvx def
  P1 P1 0 0 1 ft 0 dg ldiagatangle ldiagpadd 0 0 1 ft VERT ldiagatangle
  ldiagpadd ldiagangleto /P1@ANGLE ldiagangledef
  P2 P2 0 0 1 ft 180 dg ldiagatangle ldiagpadd 0 0 1 ft VERT ldiagatangle
  ldiagpadd ldiagangleto /P2@ANGLE ldiagangledef
  P1 0.5 ldiagpmul P2 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  VERT /LMID@ANGLE ldiagangledef
  /XINDENT [ xindent FROM P1 ldiagdistance ldiagmin ] cvx def
  /ZINDENT [ zindent P2 TO ldiagdistance ldiagmin ] cvx def
  FROM XINDENT 0 ldiagpadd /LFROM ldiagpointdef
  0 dg /LFROM@ANGLE ldiagangledef
  TO ZINDENT 0 ldiagpadd /LTO ldiagpointdef
  180 dg /LTO@ANGLE ldiagangledef
  FROM LFROM P1 LMID P2 LTO TO

  % (leaving ldiagrvllinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def


% farr tarr { from } { to } xindent zindent bias radius ldiagrvlcurvepath -
/ldiagrvlcurvepath
{
  % (entering ldiagrvlcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /radius exch def
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  from (CTR) ldiagdolabel 0 dg from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength 0 dg ldiagatangle ldiagpadd /FROM ldiagpointdef
  0 dg /FROM@ANGLE ldiagangledef
  to (CTR) ldiagdolabel 0 dg to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength 0 dg ldiagatangle ldiagpadd /TO ldiagpointdef
  180 dg /TO@ANGLE ldiagangledef
  /XRIGHT [ FROM pop TO pop ldiagmax bias add ] cvx def
  /XP1 [ XRIGHT FROM exch pop ] cvx def
  /XP2 [ XRIGHT TO exch pop ] cvx def
  /VERT [ XP1 XP2 ldiagangleto ] cvx def
  XP1 0.5 ldiagpmul XP2 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  VERT /LMID@ANGLE ldiagangledef
  /XINDENT [ xindent FROM XP1 ldiagdistance ldiagmin ] cvx def
  /ZINDENT [ zindent XP2 TO ldiagdistance ldiagmin ] cvx def
  FROM XINDENT 0 ldiagpadd /LFROM ldiagpointdef
  0 dg /LFROM@ANGLE ldiagangledef
  TO ZINDENT 0 ldiagpadd /LTO ldiagpointdef
  180 dg /LTO@ANGLE ldiagangledef
  /RADIUS [ radius XP1 XP2 ldiagdistance 0.5 mul ldiagmin ] cvx def
  /XP1PRE [ XP1 0 0 RADIUS 180 dg ldiagatangle ldiagpadd ] cvx def
  /XP1POST [ XP1 0 0 RADIUS VERT ldiagatangle ldiagpadd ] cvx def
  /XP1CTR [ XP1PRE 0 0 RADIUS VERT ldiagatangle ldiagpadd ] cvx def
  XP1CTR 0 0 RADIUS XP1CTR XP1 ldiagangleto ldiagatangle ldiagpadd
  /P1 ldiagpointdef
  XP1PRE XP1POST ldiagangleto /P1@ANGLE ldiagangledef
  /XP2PRE [ 0 0 RADIUS VERT ldiagatangle XP2 ldiagpsub ] cvx def
  /XP2POST [ XP2 0 0 RADIUS 180 dg ldiagatangle ldiagpadd ] cvx def
  /XP2CTR [ XP2PRE 0 0 RADIUS 180 dg ldiagatangle ldiagpadd ] cvx def
  XP2CTR 0 0 RADIUS XP2CTR XP2 ldiagangleto ldiagatangle ldiagpadd
  /P2 ldiagpointdef
  XP2PRE XP2POST ldiagangleto /P2@ANGLE ldiagangledef
  FROM LFROM XP1PRE
  {} {[XP1CTR clockwise] P1 [XP1CTR clockwise]} {} {[XP1CTR] P1 [XP1CTR]}
  {} {} {} {} VERT round ldiagquadcase
  XP1POST LMID XP2PRE
  {} {[XP2CTR clockwise] P2 [XP2CTR clockwise]} {} {[XP2CTR] P2 [XP2CTR]}
  {} {} {} {} VERT round ldiagquadcase
  XP2POST LTO TO

  % (leaving ldiagrvlcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent bias fbias tbias ldiagdwraplinepath -
/ldiagdwraplinepath
{
  % (entering ldiagdwraplinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /tbias exch def
  /fbias exch def
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  /DIRN [ from (CTR) ldiagdolabel pop to (CTR) ldiagdolabel pop
  lt { 180 dg } { 0 dg } ifelse ] cvx def
  from (CTR) ldiagdolabel DIRN from (CIRCUM) ldiagdolabel ldiagpadd 0 0
  fromarrowlength DIRN ldiagatangle ldiagpadd /FROM ldiagpointdef
  DIRN /FROM@ANGLE ldiagangledef
  to (CTR) ldiagdolabel DIRN 180 dg add to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength DIRN 180 dg add ldiagatangle ldiagpadd /TO ldiagpointdef
  DIRN /TO@ANGLE ldiagangledef
  FROM 0 0 fbias 0 ldiagmax DIRN ldiagatangle ldiagpadd /P1 ldiagpointdef
  DIRN 180 dg eq { 225 dg } { -45 dg } ifelse /P1@ANGLE ldiagangledef
  TO 0 0 tbias 0 ldiagmax DIRN 180 dg add ldiagatangle ldiagpadd
  /P4 ldiagpointdef
  DIRN 180 dg eq { 135 dg } { 45 dg } ifelse /P4@ANGLE ldiagangledef
  /YC [ from (CTR) ldiagdolabel 270 dg from (CIRCUM) ldiagdolabel ldiagpadd
  exch pop to (CTR) ldiagdolabel 270 dg to (CIRCUM) ldiagdolabel ldiagpadd
  exch pop ldiagmin bias 0 ldiagmax sub ] cvx def
  P1 pop YC /P2 ldiagpointdef
  P4@ANGLE 180 dg sub /P2@ANGLE ldiagangledef
  P4 pop YC /P3 ldiagpointdef
  P1@ANGLE 180 dg sub /P3@ANGLE ldiagangledef
  /XINDENT [ xindent FROM P1 ldiagdistance ldiagmin ] cvx def
  FROM 0 0 XINDENT DIRN ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef
  /ZINDENT [ zindent TO P4 ldiagdistance ldiagmin ] cvx def
  TO 0 0 ZINDENT DIRN 180 dg add ldiagatangle ldiagpadd /LTO ldiagpointdef
  TO@ANGLE /LTO@ANGLE ldiagangledef
  P2 0.5 ldiagpmul P3 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  DIRN 180 dg sub /LMID@ANGLE ldiagangledef
  FROM P1 P2 P3 P4 TO

  % (leaving ldiagdwraplinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent bias fbias tbias radius
% ldiagdwrapcurvepath -
/ldiagdwrapcurvepath
{
  % (entering ldiagdwrapcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /radius exch def
  /tbias exch def
  /fbias exch def
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  /DIRN [ from (CTR) ldiagdolabel pop to (CTR) ldiagdolabel pop lt
  { 180 dg } { 0 dg } ifelse ] cvx def
  /CLOCK [ from (CTR) ldiagdolabel pop to (CTR) ldiagdolabel pop lt
  { anticlockwise } { clockwise } ifelse ] cvx def
  from (CTR) ldiagdolabel DIRN from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength DIRN ldiagatangle ldiagpadd /FROM ldiagpointdef
  DIRN /FROM@ANGLE ldiagangledef
  to (CTR) ldiagdolabel DIRN 180 dg add to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength DIRN 180 dg add ldiagatangle ldiagpadd /TO ldiagpointdef
  DIRN /TO@ANGLE ldiagangledef
  /XP1 [ FROM 0 0 fbias 0 ldiagmax DIRN ldiagatangle ldiagpadd ] cvx def
  /XP4 [ TO 0 0 tbias 0 ldiagmax DIRN 180 dg add ldiagatangle ldiagpadd ] cvx def
  /YC [ from (CTR) ldiagdolabel 270 dg from (CIRCUM) ldiagdolabel ldiagpadd
  exch pop to (CTR) ldiagdolabel 270 dg to (CIRCUM) ldiagdolabel ldiagpadd
  exch pop ldiagmin bias 0 ldiagmax sub ] cvx def
  /XP2 [ XP1 pop YC ] cvx def
  /XP3 [ XP4 pop YC ] cvx def
  /RP1 [ radius XP1 FROM ldiagdistance XP1 XP2 ldiagdistance 2 div
  ldiagmin ldiagmin ] cvx def
  /XP1PRE [ XP1 0 0 RP1 XP1 FROM ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP1POST [ XP1 0 0 RP1 XP1 XP2 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP1CTR [ XP1PRE 0 0 RP1 XP1 XP2 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  XP1CTR 0 0 RP1 XP1CTR XP1 ldiagangleto ldiagatangle ldiagpadd /P1 ldiagpointdef
  XP1CTR P1 ldiagangleto DIRN add 90 dg sub /P1@ANGLE ldiagangledef
  /RP2 [ radius XP1 XP2 ldiagdistance 2 div XP2 XP3 ldiagdistance 2 div
  ldiagmin ldiagmin ] cvx def
  /XP2PRE [ XP2 0 0 RP2 XP2 XP1 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP2POST [ XP2 0 0 RP2 XP2 XP3 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP2CTR [ XP2PRE 0 0 RP2 XP2 XP3 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  XP2CTR 0 0 RP2 XP2CTR XP2 ldiagangleto ldiagatangle ldiagpadd /P2 ldiagpointdef
  XP2CTR P2 ldiagangleto DIRN add 90 dg sub /P2@ANGLE ldiagangledef
  /RP3 [ radius XP2 XP3 ldiagdistance 2 div XP3 XP4 ldiagdistance 2 div
  ldiagmin ldiagmin ] cvx def
  /XP3PRE [ XP3 0 0 RP3 XP3 XP2 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP3POST [ XP3 0 0 RP3 XP3 XP4 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP3CTR [ XP3PRE 0 0 RP3 XP3 XP4 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  XP3CTR 0 0 RP3 XP3CTR XP3 ldiagangleto ldiagatangle ldiagpadd /P3 ldiagpointdef
  XP3CTR P3 ldiagangleto DIRN add 90 dg sub /P3@ANGLE ldiagangledef
  /RP4 [ radius XP4 XP3 ldiagdistance 2 div XP4 TO ldiagdistance
  ldiagmin ldiagmin ] cvx def
  /XP4PRE [ XP4 0 0 RP4 XP4 XP3 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP4POST [ XP4 0 0 RP4 XP4 TO ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP4CTR [ XP4PRE 0 0 RP4 XP4 TO ldiagangleto ldiagatangle ldiagpadd ] cvx def
  XP4CTR 0 0 RP4 XP4CTR XP4 ldiagangleto ldiagatangle ldiagpadd /P4 ldiagpointdef
  XP4CTR P4 ldiagangleto DIRN add 90 dg sub /P4@ANGLE ldiagangledef
  /XINDENT [ xindent FROM XP1PRE ldiagdistance ldiagmin ] cvx def
  FROM 0 0 XINDENT DIRN ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef
  XP2 0.5 ldiagpmul XP3 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  DIRN 180 dg sub /LMID@ANGLE ldiagangledef
  /ZINDENT [ zindent TO XP4POST ldiagdistance ldiagmin ] cvx def
  TO 0 0 ZINDENT DIRN 180 dg add ldiagatangle ldiagpadd /LTO ldiagpointdef
  TO@ANGLE /LTO@ANGLE ldiagangledef
  FROM LFROM
  XP1PRE [XP1CTR CLOCK] XP1POST
  XP2PRE [XP2CTR CLOCK] XP2POST
  LMID
  XP3PRE [XP3CTR CLOCK] XP3POST
  XP4PRE [XP4CTR CLOCK] XP4POST
  LTO TO

  % (leaving ldiagdwrapcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent bias fbias tbias ldiaguwraplinepath -
/ldiaguwraplinepath
{
  % (entering ldiaguwraplinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /tbias exch def
  /fbias exch def
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  /DIRN [ from (CTR) ldiagdolabel pop to (CTR) ldiagdolabel pop lt
  { 180 dg } { 0 dg } ifelse ] cvx def
  from (CTR) ldiagdolabel DIRN from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength DIRN ldiagatangle ldiagpadd /FROM ldiagpointdef
  DIRN /FROM@ANGLE ldiagangledef
  to (CTR) ldiagdolabel DIRN 180 dg add to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength DIRN 180 dg add ldiagatangle ldiagpadd /TO ldiagpointdef
  DIRN /TO@ANGLE ldiagangledef
  FROM 0 0 fbias 0 ldiagmax DIRN ldiagatangle ldiagpadd /P1 ldiagpointdef
  DIRN 180 dg eq { 135 dg } { 45 dg } ifelse /P1@ANGLE ldiagangledef
  TO 0 0 tbias 0 ldiagmax DIRN 180 dg add ldiagatangle ldiagpadd
  /P4 ldiagpointdef
  DIRN 180 dg eq { 225 dg } { -45 dg } ifelse /P4@ANGLE ldiagangledef
  /YC [ from (CTR) ldiagdolabel 90 dg from (CIRCUM) ldiagdolabel ldiagpadd
  exch pop to (CTR) ldiagdolabel 90 dg to (CIRCUM) ldiagdolabel ldiagpadd
  exch pop ldiagmax bias 0 ldiagmax add ] cvx def
  P1 pop YC /P2 ldiagpointdef
  P4@ANGLE 180 dg sub /P2@ANGLE ldiagangledef
  P4 pop YC /P3 ldiagpointdef
  P1@ANGLE 180 dg sub /P3@ANGLE ldiagangledef
  /XINDENT [ xindent FROM P1 ldiagdistance ldiagmin ] cvx def
  FROM 0 0 XINDENT DIRN ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef
  /ZINDENT [ zindent TO P4 ldiagdistance ldiagmin ] cvx def
  TO 0 0 ZINDENT DIRN 180 dg add ldiagatangle ldiagpadd /LTO ldiagpointdef
  TO@ANGLE /LTO@ANGLE ldiagangledef
  P2 0.5 ldiagpmul P3 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  DIRN 180 dg sub /LMID@ANGLE ldiagangledef
  FROM P1 P2 P3 P4 TO

  % (leaving ldiaguwraplinepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% farr tarr { from } { to } xindent zindent bias fbias tbias radius
% ldiaguwrapcurvepath -
/ldiaguwrapcurvepath
{
  % (entering ldiaguwrapcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
  /radius exch def
  /tbias exch def
  /fbias exch def
  /bias exch def
  /zindent exch def
  /xindent exch def
  cvlit /to exch def
  cvlit /from exch def
  /toarrowlength exch def
  /fromarrowlength exch def

  /DIRN [ from (CTR) ldiagdolabel pop to (CTR) ldiagdolabel pop lt
  { 180 dg } { 0 dg } ifelse ] cvx def
  /CLOCK [ from (CTR) ldiagdolabel pop to (CTR) ldiagdolabel pop lt
  { clockwise } { anticlockwise } ifelse ] cvx def
  from (CTR) ldiagdolabel DIRN from (CIRCUM) ldiagdolabel ldiagpadd
  0 0 fromarrowlength DIRN ldiagatangle ldiagpadd /FROM ldiagpointdef
  DIRN /FROM@ANGLE ldiagangledef
  to (CTR) ldiagdolabel DIRN 180 dg add to (CIRCUM) ldiagdolabel ldiagpadd
  0 0 toarrowlength DIRN 180 dg add ldiagatangle ldiagpadd /TO ldiagpointdef
  DIRN /TO@ANGLE ldiagangledef
  /XP1 [ FROM 0 0 fbias 0 ldiagmax DIRN ldiagatangle ldiagpadd ] cvx def
  /XP4 [ TO 0 0 tbias 0 ldiagmax DIRN 180 dg add ldiagatangle ldiagpadd ] cvx def
  /YC [ from (CTR) ldiagdolabel 90 dg from (CIRCUM) ldiagdolabel ldiagpadd
  exch pop to (CTR) ldiagdolabel 90 dg to (CIRCUM) ldiagdolabel ldiagpadd
  exch pop ldiagmax bias 0 ldiagmax add ] cvx def
  /XP2 [ XP1 pop YC ] cvx def
  /XP3 [ XP4 pop YC ] cvx def
  /RP1 [ radius XP1 FROM ldiagdistance XP1 XP2 ldiagdistance 2 div
  ldiagmin ldiagmin ] cvx def
  /XP1PRE [ XP1 0 0 RP1 XP1 FROM ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP1POST [ XP1 0 0 RP1 XP1 XP2 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP1CTR [ XP1PRE 0 0 RP1 XP1 XP2 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  XP1CTR 0 0 RP1 XP1CTR XP1 ldiagangleto ldiagatangle ldiagpadd /P1 ldiagpointdef
  XP1CTR P1 ldiagangleto DIRN add 90 dg add /P1@ANGLE ldiagangledef
  /RP2 [ radius XP1 XP2 ldiagdistance 2 div XP2 XP3 ldiagdistance 2 div
  ldiagmin ldiagmin ] cvx def
  /XP2PRE [ XP2 0 0 RP2 XP2 XP1 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP2POST [ XP2 0 0 RP2 XP2 XP3 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP2CTR [ XP2PRE 0 0 RP2 XP2 XP3 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  XP2CTR 0 0 RP2 XP2CTR XP2 ldiagangleto ldiagatangle ldiagpadd /P2 ldiagpointdef
  XP2CTR P2 ldiagangleto DIRN add 90 dg add /P2@ANGLE ldiagangledef
  /RP3 [ radius XP2 XP3 ldiagdistance 2 div XP3 XP4 ldiagdistance 2 div
  ldiagmin ldiagmin ] cvx def
  /XP3PRE [ XP3 0 0 RP3 XP3 XP2 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP3POST [ XP3 0 0 RP3 XP3 XP4 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP3CTR [ XP3PRE 0 0 RP3 XP3 XP4 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  XP3CTR 0 0 RP3 XP3CTR XP3 ldiagangleto ldiagatangle ldiagpadd /P3 ldiagpointdef
  XP3CTR P3 ldiagangleto DIRN add 90 dg add /P3@ANGLE ldiagangledef
  /RP4 [ radius XP4 XP3 ldiagdistance 2 div XP4 TO ldiagdistance
  ldiagmin ldiagmin ] cvx def
  /XP4PRE [ XP4 0 0 RP4 XP4 XP3 ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP4POST [ XP4 0 0 RP4 XP4 TO ldiagangleto ldiagatangle ldiagpadd ] cvx def
  /XP4CTR [ XP4PRE 0 0 RP4 XP4 TO ldiagangleto ldiagatangle ldiagpadd ] cvx def
  XP4CTR 0 0 RP4 XP4CTR XP4 ldiagangleto ldiagatangle ldiagpadd /P4 ldiagpointdef
  XP4CTR P4 ldiagangleto DIRN add 90 dg add /P4@ANGLE ldiagangledef
  /XINDENT [ xindent FROM XP1PRE ldiagdistance ldiagmin ] cvx def
  FROM 0 0 XINDENT DIRN ldiagatangle ldiagpadd /LFROM ldiagpointdef
  FROM@ANGLE /LFROM@ANGLE ldiagangledef
  XP2 0.5 ldiagpmul XP3 0.5 ldiagpmul ldiagpadd /LMID ldiagpointdef
  DIRN 180 dg sub /LMID@ANGLE ldiagangledef
  /ZINDENT [ zindent TO XP4POST ldiagdistance ldiagmin ] cvx def
  TO 0 0 ZINDENT DIRN 180 dg add ldiagatangle ldiagpadd /LTO ldiagpointdef
  TO@ANGLE /LTO@ANGLE ldiagangledef
  FROM LFROM
  XP1PRE [XP1CTR CLOCK] XP1POST
  XP2PRE [XP2CTR CLOCK] XP2POST
  LMID
  XP3PRE [XP3CTR CLOCK] XP3POST
  XP4PRE [XP4CTR CLOCK] XP4POST
  LTO TO

  % (leaving ldiaguwrapcurvepath) 0 ldiagdebugprint
  % count (  stack size is) 1 ldiagdebugprint pop
} def

% shape and labels of the @SolidArrowHead symbol
% - ldiagsolidarrowhead -
/ldiagsolidarrowhead
{
  0 0 xsize ysize 0.5 mul 0 ysize
} def

% shape and labels of the @OpenArrowHead symbol
% <pathwidth> ldiagopenarrowhead -
/ldiagopenarrowhead
{
  /pathwidth exch def
  /PSW [ 0 0 ] cvx def
  /PNW [ 0 ysize ] cvx def
  /PE  [ xsize ysize 0.5 mul ] cvx def
  /REL [ 0 0 pathwidth PE PNW ldiagangleto 90 add ldiagatangle ] cvx def
  /PNA [ 0 ysize 0.5 mul pathwidth 0.5 mul add ] cvx def
  /PSA [ 0 ysize 0.5 mul pathwidth 0.5 mul sub ] cvx def
  /PNI [ PNA PNA xsize 0 ldiagpadd PNW REL ldiagpadd
	 PE REL ldiagpadd ldiaglineintersect ] cvx def
  /PSI [ 0 pathwidth PNI ldiagpsub ] cvx def

  PSW PE PNW PNI PNA PSA PSI PSW
} def

% shape and labels of the @HalfOpenArrowHead symbol
% <pathwidth> ldiaghalfopenarrowhead -
/ldiaghalfopenarrowhead
{
  /pathwidth exch def
  0 0
  xsize ysize 0.5 mul
  0 ysize
  xsize 0.3 mul ysize 0.5 mul pathwidth 0.5 mul add
  0             ysize 0.5 mul pathwidth 0.5 mul add
  0             ysize 0.5 mul pathwidth 0.5 mul sub
  xsize 0.3 mul ysize 0.5 mul pathwidth 0.5 mul sub
  0 0
} def

% shape and labels of the @SolidCurvedArrowHead symbol
% - ldiagsolidcurvedarrowhead -
/ldiagsolidcurvedarrowhead
{
  0 0
  [0 0 xsize ysize 0.5 mul ldiaglinebetween
   xsize 0 xsize ysize ldiaglineintersect clockwise]
  xsize ysize 0.5 mul
  [xsize ysize 0.5 mul 0 ysize ldiaglinebetween
   xsize 0 xsize ysize ldiaglineintersect clockwise]
  0 ysize
} def

% shape and labels of the @OpenCurvedArrowHead symbol
% <pathwidth> ldiagopencurvedarrowhead -
/ldiagopencurvedarrowhead
{
  /pathwidth exch def
  /LR [ 0 0 xsize ysize 0.5 mul ldiaglinebetween
	xsize 0 xsize ysize ldiaglineintersect
      ] cvx def
  /UR [ xsize ysize 0.5 mul 0 ysize ldiaglinebetween
	xsize 0 xsize ysize ldiaglineintersect
      ] cvx def
  /PW2 [ pathwidth 0.5 mul ] cvx def
  /UMID [
      0 ysize 0.5 mul PW2 add
      xsize ysize 0.5 mul PW2 add
      0 ysize 0 0 1 ft UR 0 ysize ldiagangleto 90 add ldiagatangle
      ldiagpadd 0 ysize ldiaglineintersect
      ] cvx def
  /LMID [ 0 pathwidth UMID ldiagpsub ] cvx def
  0 0
  [LR clockwise]
  xsize ysize 0.5 mul
  [UR clockwise]
  0 ysize
  UMID
  0 ysize 0.5 mul PW2 add
  0 ysize 0.5 mul PW2 sub
  LMID
  0 0
} def

% shape and labels of the @HalfOpenCurvedArrowHead symbol
% <pathwidth> ldiaghalfopencurvedarrowhead -
/ldiaghalfopencurvedarrowhead
{
  /pathwidth exch def
  /LR [ 0 0 xsize ysize 0.5 mul ldiaglinebetween
	xsize 0 xsize ysize ldiaglineintersect
      ] cvx def
  /UR [ xsize ysize 0.5 mul 0 ysize ldiaglinebetween
	xsize 0 xsize ysize ldiaglineintersect
      ] cvx def
  /BR [ 0 0 LR 0 ysize UR ldiaglineintersect ] cvx def
  /BRAD [ 0 0 BR ldiagdistance ] cvx def
  /PW2 [ pathwidth 0.5 mul ] cvx def
  /XDIST [ BRAD dup mul PW2 dup mul sub sqrt ] cvx def
  /UMID [ BR XDIST PW2 ldiagpadd ] cvx def
  /LMID [ BR XDIST 0 PW2 sub ldiagpadd ] cvx def
  0 0
  [LR clockwise]
  xsize ysize 0.5 mul
  [UR clockwise]
  0 ysize
  [BR clockwise]
  UMID
  0 ysize 0.5 mul PW2 add
  0 ysize 0.5 mul PW2 sub
  LMID
  [BR clockwise]
  0 0
} def

end
%%EndResource