/usr/share/texmf-texlive/metapost/automata/automata.mp is in texlive-metapost 2009-15.
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% Version 0.2
% Author: gabriele puppis
% declares a grid of equally-spaced nodes
%
% syntax: matrix.<name>(<#rows>,<#cols>);
%
% example: matrix.a(2,3);
%
% parameters: spacing = (60,30) | ...
% offset = (0,0) | ...
% numbering = (0,0) | ...
%
% (nodes are identified by <name>[<row>][<col>],
% <name> can't be c,h,x,y or any other global variable,
% the center/anchor of a node is <name>[<row>][<col>].c/.h,
% <row> and <col> start from 0,
% so <name>[0][0] is the top left-most node,
% <name>[<#rows>-1][<#cols>-1] is the bottom right-most node)
vardef matrix@# expr d =
pair @#[][].c;
pair @#[][].h;
pair @#[][].s;
path @#[][].f;
numeric @#[][].m;
for i=0 upto xpart(d)-1:
for j=0 upto ypart(d)-1:
@#[xpart(numbering)+i][ypart(numbering)+j].c :=
(xpart(spacing)*j,-ypart(spacing)*i) shifted offset;
endfor;
endfor;
enddef;
% declares a tree-shaped arrangement of nodes
%
% syntax: tree.<name>(<#levels>,<arity>);
%
% example: tree.a(4,2);
%
% parameters: spacing = (60,30) | ...
% offset = (0,0) | ...
% numbering = (0,0) | ...
%
% (nodes are identified by <name>[<depth>][<child>],
% <name> can't be c,h,x,y or any other global variable,
% the center/anchor of a node is <name>[<depth>][<child>].c/.h,
% <depth> and <child> start from 0,
% so <name>[0][0] is the root,
% <name>[1][0] ... <name>[1][<arity>-1] are the children of the root,
% and so on)
vardef tree@# expr d =
pair @#[][].c;
pair @#[][].h;
pair @#[][].s;
path @#[][].f;
numeric @#[][].m;
for i=0 upto xpart(d)-1:
for j=0 upto (ypart(d)**i) - 1:
@#[xpart(numbering)+i][ypart(numbering)+j].c =
(xpart(spacing) * ((j+0.5)*(ypart(d)**(xpart(d)-i)) - 0.5*(ypart(d)**xpart(d))),
-ypart(spacing) * i) shifted offset;
endfor;
endfor;
enddef;
% declares a single node
%
% syntax: put.<name>(x,y);
%
% example: put.a(100,100);
%
% (the center/anchor of a node is <name>.c/.h,
% <name> can't be c,h,x,y or any other global variable)
vardef put@# expr p =
pair @#.c;
pair @#.h;
pair @#.s;
path @#.f;
numeric @#.m;
@#.c := p;
enddef;
% declares an additional single node inside an existing matrix or tree
% (or change the position of an existing node)
%
% syntax: setpos.<name>[<row>][<col>](x,y);
%
% example: setpos.a[0][0](100,100);
%
% (the center/anchor of a node is <name>[<row>][<col>].c/.h)
vardef setpos@# expr p =
@#.c := p;
enddef;
% change the position of an existing node
%
% syntax: movepos.<name>(x,y);
%
% example: movepos.a(100,100);
% movepos.b[0][0](100,100);
vardef movepos@# expr p =
@#.c := @#.c shifted p;
@#.h := @#.h shifted p;
enddef;
% draws an existing node
%
% syntax: node.<node> <label>;
%
% example: node.a[0][0] btex $\alpha$ etex;
%
% parameters: size = 7 | ...
% nodemargin = 1.5 | ...
% shape = circle | utriangle | ltriangle | btriangle | rtriangle |
% box | fixedbox | rbox | rfixedbox | none
% boxmargin = 5 | ...
% fixedboxwidth = 7 | ...
% fixedboxheight = 7 | ...
% border = solid | bold | dash | double | none
% bordercolor = black | white | ...
% filling = none | solid | left | right
% fillingcolor = black | white | ...
% nodelabel = yes | no
% nodelabelcolor = black | white | ...
% solidsize = 0.9 | ...
% boldsize = 1.5 | ...
% dashsize = 0.75 | ...
% doublesize = 0.75 | ...
vardef node@#(expr l) =
save pic,fs,fm;
picture pic; pic := thelabel(l, (0,0));
pair fs;
numeric fm;
if (shape=circle):
@#.s := (size,size);
@#.f := circlepath;
@#.h := @#.c;
fs := (size,size);
fm := 0;
elseif (shape=utriangle):
@#.s := (size+solidsize,size+solidsize);
@#.f := utrianglepath;
@#.h := @#.c shifted (0,0.5ypart(@#.s));
fs = (size,size);
fm := 4solidsize;
elseif (shape=ltriangle):
@#.s := (size+solidsize,size+solidsize);
@#.f := ltrianglepath;
@#.h := @#.c shifted (-0.5xpart(@#.s),0);
fs = (size,size);
fm := 4solidsize;
elseif (shape=btriangle):
@#.s := (size+solidsize,size+solidsize);
@#.f := btrianglepath;
@#.h := @#.c shifted (0,-0.5ypart(@#.s));
fs = (size,size);
fm := 4solidsize;
elseif (shape=rtriangle):
@#.s := (size+solidsize,size+solidsize);
@#.f := rtrianglepath;
@#.h := @#.c shifted (0.5xpart(@#.s),0);
fs := (size,size);
fm := 4solidsize;
elseif (shape=box):
@#.s := urcorner pic - llcorner pic + (boxmargin,boxmargin);
@#.f := squarepath;
@#.h := @#.c;
fs := @#.s;
fm := 0;
elseif (shape=fixedbox):
@#.s := (fixedboxwidth,fixedboxheight);
@#.f := squarepath;
@#.h := @#.c;
fs := @#.s;
fm := 0;
elseif (shape=rbox):
@#.s := urcorner pic - llcorner pic;
@#.f := rrectangle(xpart(@#.s),ypart(@#.s));
@#.h := @#.c;
fs := @#.s;
fm := 0;
elseif (shape=rfixedbox):
@#.s := (fixedboxwidth,fixedboxheight);
@#.f := rrectangle(xpart(@#.s),ypart(@#.s));
@#.h := @#.c;
fs := @#.s;
fm := 0;
elseif (shape=none):
@#.s := (0,0);
@#.f := (0,0)..(0,0);
@#.h := @#.c;
@#.m := 0;
fs := (0,0);
fm := 0;
else:
errmessage("Node shape not defined");
fi
if (shape<>none):
if (filling=solid):
if (border=double):
fill @#.f xscaled (xpart(fs)-2doublesize) yscaled (ypart(fs)-2doublesize)
shifted @#.c withcolor fillingcolor;
else:
fill @#.f xscaled xpart(fs) yscaled ypart(fs)
shifted @#.c withcolor fillingcolor;
fi
elseif (filling=left):
if (border=double):
fill buildcycle(@#.f,(0,-1)--(0,1))
xscaled (xpart(fs)-2doublesize) yscaled (ypart(fs)-2doublesize)
shifted @#.c withcolor fillingcolor;
else:
fill buildcycle(@#.f,(0,-1)--(0,1))
xscaled xpart(fs) yscaled ypart(fs)
shifted @#.c withcolor fillingcolor;
fi
elseif (filling=right):
if (border=double):
fill buildcycle(@#.f,(0,-1)--(0,1)) rotated 180
xscaled (xpart(fs)-2doublesize) yscaled (ypart(fs)-2doublesize)
shifted @#.c withcolor fillingcolor;
else:
fill buildcycle(@#.f,(0,-1)--(0,1)) rotated 180
xscaled xpart(fs) yscaled ypart(fs)
shifted @#.c withcolor fillingcolor;
fi
fi
if (border=solid):
@#.m := nodemargin * solidsize + fm;
draw @#.f xscaled xpart(fs) yscaled ypart(fs) shifted @#.c
withpen pencircle scaled solidsize withcolor bordercolor;
elseif (border=bold):
@#.m := nodemargin * boldsize + fm;
draw @#.f xscaled xpart(fs) yscaled ypart(fs) shifted @#.c
withpen pencircle scaled boldsize withcolor bordercolor;
elseif (border=dash):
@#.m := nodemargin * solidsize + fm;
draw @#.f xscaled xpart(fs) yscaled ypart(fs) shifted @#.c
withpen pencircle scaled solidsize dashed evenly scaled dashsize withcolor bordercolor;
elseif (border=double):
@#.m := nodemargin * solidsize + fm;
draw @#.f xscaled (xpart(fs)-2doublesize) yscaled (ypart(fs)-2doublesize) shifted @#.c
withpen pencircle scaled solidsize withcolor bordercolor;
draw @#.f xscaled xpart(fs) yscaled ypart(fs) shifted @#.c
withpen pencircle scaled solidsize withcolor bordercolor;
elseif (border=none):
@#.m := nodemargin;
else:
errmessage("Node border not defined");
fi
fi
if (nodelabel=yes):
if ((urcorner pic - llcorner pic) <> (0,0)):
label(l, @#.c) withcolor nodelabelcolor;
fi
fi
enddef;
% draws an arrow between two nodes and labels it
%
% syntax: arrow.<labelpos>(<labeloff>,<label>)(<node>,<node>) <path>;
% where <labelpos> = lft | rt | top | bot | ulft | urt | llft | lrt
% <labeloff> is between 0.0 and 1.0
% <node> is a node
% <path> is a path
%
% example: arrow.top(0.5, btex $a$ etex)(a[0][0],a[0][1]) a[0][0].c{dir90}..a[0][1].c;
%
% parameters: style = solid | bold | dash | bolddash
% arrowcolor = black | white | ...
% arrowlabel = yes | no
% unfillonarrowlabel = yes | no
% arrowlabelcolor = black | white | ...
% tipangle = 25 | ...;
% tipsharpness = 10 | ...;
% tipsize = 4 | ...;
% arrowmargin = 1.5 | ...
% solidsize = 0.9 | ...
% boldsize = 1.5 | ...
% dashsize = 0.75 | ...
vardef arrow@#(expr o,l)(suffix a,b) expr p =
save cutp;
path cutp;
if ((style=bold) or (style=bolddash)):
cutp := (p) cutbefore (a.f xscaled xpart(a.s) yscaled ypart(a.s) shifted a.c)
cutafter (b.f xscaled (xpart(b.s)+b.m+arrowmargin*boldsize)
yscaled (ypart(b.s)+b.m+arrowmargin*boldsize) shifted b.c);
else:
cutp := (p) cutbefore (a.f xscaled xpart(a.s) yscaled ypart(a.s) shifted a.c)
cutafter (b.f xscaled (xpart(b.s)+b.m+arrowmargin*solidsize)
yscaled (ypart(b.s)+b.m+arrowmargin*solidsize) shifted b.c);
fi
save endpoint,endpointdir,pathtotip,tippoint,tipa,tipb,tip;
pair endpoint; endpoint := point length(cutp) of cutp;
pair endpointdir; endpointdir := unitvector(direction length(cutp) of cutp);
path pathtotip; pathtotip := cutp cutafter (circlepath scaled 2tipsize shifted endpoint);
pair tippoint; tippoint := point length(pathtotip) of pathtotip;
path tipa; tipa := endpoint{-endpointdir rotated tipsharpness}..
(endpoint - ((endpoint-tippoint) rotated tipangle));
path tipb; tipb := endpoint{-endpointdir rotated -tipsharpness}..
(endpoint - ((endpoint-tippoint) rotated -tipangle));
path tip;
if ((style=bold) or (style=bolddash)):
tip := reverse(tipa)--tipb--cycle;
else:
tip := tipa--reverse(tipa)--tipb--reverse(tipb)--cycle;
fi
if (style=solid):
draw cutp withpen pencircle scaled solidsize withcolor arrowcolor;
draw tip withpen pencircle scaled solidsize withcolor arrowcolor;
elseif (style=bold):
draw cutp withpen pencircle scaled boldsize withcolor arrowcolor;
draw tip withpen pencircle scaled boldsize withcolor arrowcolor;
elseif (style=dash):
draw cutp withpen pencircle scaled solidsize dashed evenly scaled dashsize withcolor arrowcolor;
draw tip withpen pencircle scaled solidsize withcolor arrowcolor;
elseif (style=bolddash):
draw cutp withpen pencircle scaled boldsize dashed evenly scaled dashsize withcolor arrowcolor;
draw tip withpen pencircle scaled boldsize withcolor arrowcolor;
else:
errmessage("Arrow style not defined");
fi
if (arrowlabel=yes):
save lab;
picture lab;
lab := thelabel.@#(l, point o*length(cutp) of cutp);
if (unfillonarrowlabel=yes):
unfill (bbox lab);
fi
draw lab withcolor arrowlabelcolor;
%label.@#(l, point o*length(cutp) of cutp) withcolor arrowlabelcolor;
fi
enddef;
% draws an arrow looping around a node and labels it
%
% syntax: loop.<labelpos>(<labeloff>,<label>)(<node>) <dir>;
% where <labelpos> = lft | rt | top | bot | ulft | urt | llft | lrt
% <labeloff> is between 0.0 and 1.0
% <node> is a node
% <dir> is an angle
%
% example: loop.top(0.5, btex $a$ etex)(a[0][0]) 90;
%
% parameters: loopsize = 15 | ...
% looporientation = counterclockwise | clockwise
% style = solid | bold | dash | bolddash
% arrowcolor = black | white | ...
% arrowlabel = yes | no
% tipangle = 25 | ...;
% tipsharpness = 10 | ...;
% tipsize = 4 | ...;
% arrowmargin = 1.5 | ...
% boldsize = 1.5 | ...
% dashsize = 0.75 | ...
vardef loop@#(expr o,l)(suffix a) expr d =
save p;
path p;
if (looporientation=clockwise):
p := (-0.5*loopsize,0)..(0,0.5*loopsize)..(0.5*loopsize,0)..(0,-0.5*loopsize)..cycle;
elseif (looporientation=counterclockwise):
p := (-0.5*loopsize,0)..(0,-0.5*loopsize)..(0.5*loopsize,0)..(0,0.5*loopsize)..cycle;
else:
errmessage("Loop orientation not defined");
fi
arrow.@#(o,l)(a,a) (p shifted (0.6*loopsize,0) rotated d shifted a.c)
enddef;
% draws an arrow reaching a node and labels it
%
% syntax: incoming.<labelpos>(<labeloff>,<label>)(<node>) <dir>;
% where <labelpos> = lft | rt | top | bot | ulft | urt | llft | lrt
% <labeloff> is between 0.0 and 1.0
% <node> is a node
% <dir> is an angle
%
% example: incoming.lft(0.5, btex $a$ etex)(a[0][0]) 90;
%
% parameters: incominglength = 20 | ...
% style = solid | bold | dash | bolddash
% arrowcolor = black | white | ...
% arrowlabel = yes | no
% tipangle = 25 | ...;
% tipsharpness = 10 | ...;
% tipsize = 4 | ...;
% arrowmargin = 1 | ...
% boldsize = 1.5 | ...
% dashsize = 0.75 | ...
vardef incoming@#(expr o,l)(suffix a) expr d =
save incoming_a;
put.incoming_a ((incominglength,0) rotated d shifted a.c);
node_marker.incoming_a("");
arrow.@#(o,l)(incoming_a,a) incoming_a.c--a.c;
enddef;
% draws an arrow departing from a node and labels it
%
% syntax: outgoing.<labelpos>(<labeloff>,<label>)(<node>) <dir>;
% where <labelpos> = lft | rt | top | bot | ulft | urt | llft | lrt
% <labeloff> is between 0.0 and 1.0
% <node> is a node
% <dir> is an angle
%
% example: outgoing.lft(0.5, btex $a$ etex)(a[0][0]) 90;
%
% parameters: outgoinglength = 20 | ...
% style = solid | bold | dash | bolddash
% arrowcolor = black | white | ...
% arrowlabel = yes | no
% tipangle = 25 | ...;
% tipsharpness = 10 | ...;
% tipsize = 4 | ...;
% arrowmargin = 1 | ...
% boldsize = 1.5 | ...
% dashsize = 0.75 | ...
vardef outgoing@#(expr o,l)(suffix a) expr d =
save outgoing_a;
put.outgoing_a ((outgoinglength,0) rotated d shifted a.c);
node_marker.outgoing_a("");
arrow.@#(o,l)(a,outgoing_a) a.c--outgoing_a.c;
enddef;
% shorthand macros
def node_circle = with shape(circle) node enddef;
def node_utriangle = with shape(utriangle) node enddef;
def node_ltriangle = with shape(ltriangle) node enddef;
def node_dtriangle = with shape(dtriangle) node enddef;
def node_rtriangle = with shape(rtriangle) node enddef;
def node_unfilled = with filling(none) node enddef;
def node_filled = with filling(solid) node enddef;
def node_filledleft = with filling(left) node enddef;
def node_filledright = with filling(right) node enddef;
def node_solid = with border(solid) node enddef;
def node_bold = with border(bold) node enddef;
def node_dash = with border(dash) node enddef;
def node_double = with border(double) node enddef;
def node_hidden = with border(none) node enddef;
def node_box = with shape(box) node enddef;
def node_fixed = with shape(fixedbox) node enddef;
def node_rbox = with shape(rbox) node enddef;
def node_rfixed = with shape(rfixedbox) node enddef;
def node_marker = with shape(none) node enddef;
def arrow_solid = with style(solid) arrow enddef;
def arrow_bold = with style(bold) arrow enddef;
def arrow_dash = with style(dash) arrow enddef;
def arrow_bolddash = with style(bolddash) arrow enddef;
def loop_solid = with style(solid) loop enddef;
def loop_bold = with style(bold) loop enddef;
def loop_dash = with style(dash) loop enddef;
def loop_bolddash = with style(bolddash) loop enddef;
def loop_cw = with looporientation(clockwise) loop enddef;
def loop_ccw = with looporientation(counterclockwise) loop enddef;
def incoming_solid = with style(solid) incoming enddef;
def incoming_bold = with style(bold) incoming enddef;
def incoming_dash = with style(dash) incoming enddef;
def incoming_bolddash = with style(bolddash) incoming enddef;
def outgoing_solid = with style(solid) outgoing enddef;
def outgoing_bold = with style(bold) outgoing enddef;
def outgoing_dash = with style(dash) outgoing enddef;
def outgoing_bolddash = with style(bolddash) outgoing enddef;
% e.g. with fillingcolor(black) node ...
vardef with@#(expr v) text e = push.@#; @# := v; e; pop.@# enddef;
% e.g. light.gray, light.light.gray, ...
vardef dark@# = 0.5[@#,black] enddef;
vardef light@# = 0.5[white,@#] enddef;
def gray = dark.white enddef;
% e.g. push fillingcolor; fillingcolor := gray; ... pop fillingcolor;
vardef push@# = @#.back[@#.count] := @#; @#.count := @#.count + 1 enddef;
vardef pop@# = @#.count := @#.count - 1; @# := @#.back[@#.count] enddef;
% default paths
def circlepath = ((0.5,0)..(0,0.5)..(-0.5,0)..(0,-0.5)..cycle) enddef;
def trianglepath = ((0.433,-0.25)--(0,0.5)--(-0.433,-0.25)--cycle) enddef;
def utrianglepath = trianglepath enddef;
def ltrianglepath = (trianglepath rotated 90) enddef;
def btrianglepath = (trianglepath rotated 180) enddef;
def rtrianglepath = (trianglepath rotated 270) enddef;
def squarepath = ((0.5,-0.5)--(-0.5,-0.5)--(-0.5,0.5)--(0.5,0.5)--cycle) enddef;
vardef rrectangle(expr w,h) = (((0.5w-0.25h,-0.5h)---(-0.5w+0.25h,-0.5h)..
(-0.5w+0.25h,0.5h)---(0.5w-0.25h,0.5h)..cycle)
xscaled (1/w) yscaled (1/h)) enddef;
% general appearence constants and variables
def none = 1 enddef;
def yes = 2 enddef;
def no = 3 enddef;
def circle = 10 enddef;
def utriangle = 11 enddef;
def ltriangle = 12 enddef;
def btriangle = 13 enddef;
def rtriangle = 14 enddef;
def box = 15 enddef;
def fixedbox = 16 enddef;
def rbox = 17 enddef;
def rfixedbox = 18 enddef;
def solid = 20 enddef;
def left = 21 enddef;
def right = 22 enddef;
def bold = 30 enddef;
def dash = 31 enddef;
def bolddash = 32 enddef;
def double = 33 enddef;
def clockwise = 40 enddef;
def counterclockwise = 41 enddef;
pair spacing;
pair offset;
pair numbering;
numeric size;
numeric shape;
numeric boxmargin;
numeric fixedboxwidth;
numeric fixedboxheight;
numeric border;
numeric filling;
numeric style;
numeric nodelabel;
numeric arrowlabel;
numeric unfillonarrowlabel;
numeric tipangle;
numeric tipsharpness;
numeric tipsize;
numeric loopsize;
numeric looporientation;
numeric incominglength;
numeric outgoinglength;
numeric solidsize;
numeric boldsize;
numeric dashsize;
numeric doublesize;
numeric nodemargin;
numeric arrowmargin;
color bordercolor;
color fillingcolor;
color nodelabelcolor;
color arrowcolor;
color arrowlabelcolor;
spacing = (60,30);
offset = (0,0);
numbering = (0,0);
size := 5;
shape := circle;
boxmargin := 5;
fixedboxwidth := 7;
fixedboxheight := 7;
border := solid;
filling := none;
style := solid;
nodelabel := yes;
arrowlabel := yes;
unfillonarrowlabel := no;
tipangle := 20;
tipsharpness := 15;
tipsize := 4;
loopsize := 14;
looporientation := counterclockwise;
incominglength := 20;
outgoinglength := 20;
solidsize := 0.7;
boldsize := 1.5;
dashsize := 0.7;
doublesize := 1.3;
nodemargin := 1.5;
arrowmargin := 3.8;
bordercolor = black;
fillingcolor = black;
nodelabelcolor = black;
arrowcolor = black;
arrowlabelcolor = black;
linecap := butt;
linejoin := mitered;
% variable stacks
pair spacing.back[];
pair offset.back[];
pair numbering.back[];
numeric size.back[];
numeric shape.back[];
numeric boxmargin.back[];
numeric fixedboxwidth.back[];
numeric fixedboxheight.back[];
numeric border.back[];
numeric filling.back[];
numeric style.back[];
numeric nodelabel.back[];
numeric arrowlabel.back[];
numeric unfillonarrowlabel.back[];
numeric tipangle.back[];
numeric tipsharpness.back[];
numeric tipsize.back[];
numeric loopsize.back[];
numeric looporientation.back[];
numeric incominglength.back[];
numeric outgoinglength.back[];
numeric solidsize.back[];
numeric boldsize.back[];
numeric dashsize.back[];
numeric doublesize.back[];
numeric nodemargin.back[];
numeric arrowmargin.back[];
color bordercolor.back[];
color fillingcolor.back[];
color nodelabelcolor.back[];
color arrowcolor.back[];
color arrowlabelcolor.back[];
numeric spacing.count;
numeric offset.count;
numeric numbering.count;
numeric size.count;
numeric shape.count;
numeric boxmargin.count;
numeric fixedboxwidth.count;
numeric fixedboxheight.count;
numeric border.count;
numeric filling.count;
numeric style.count;
numeric nodelabel.count;
numeric arrowlabel.count;
numeric unfillonarrowlabel.count;
numeric tipangle.count;
numeric tipsharpness.count;
numeric tipsize.count;
numeric loopsize.count;
numeric looporientation.count;
numeric incominglength.count;
numeric outgoinglength.count;
numeric solidsize.count;
numeric boldsize.count;
numeric dashsize.count;
numeric doublesize.count;
numeric nodemargin.count;
numeric arrowmargin.count;
numeric bordercolor.count;
numeric fillingcolor.count;
numeric nodelabelcolor.count;
numeric arrowcolor.count;
numeric arrowlabelcolor.count;
spacing.count := 0;
offset.count := 0;
numbering.count := 0;
size.count := 0;
shape.count := 0;
boxmargin.count := 0;
fixedboxwidth.count := 0;
fixedboxheight.count := 0;
border.count := 0;
filling.count := 0;
style.count := 0;
nodelabel.count := 0;
arrowlabel.count := 0;
unfillonarrowlabel.count := 0;
tipangle.count := 0;
tipsharpness.count := 0;
tipsize.count := 0;
loopsize.count := 0;
looporientation.count := 0;
incominglength.count := 0;
outgoinglength.count := 0;
solidsize.count := 0;
boldsize.count := 0;
dashsize.count := 0;
doublesize.count := 0;
nodemargin.count := 0;
arrowmargin.count := 0;
bordercolor.count := 0;
fillingcolor.count := 0;
nodelabelcolor.count := 0;
arrowcolor.count := 0;
arrowlabelcolor.count := 0;
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