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/* graph.mod - graph visualization */
/* Written in GNU MathProg by Andrew Makhorin <mao@gnu.org> */
/* This model creates a picture in EPS format to visualize a graph. */
param file, symbolic, default "graph.eps";/* output file to write the picture */
param R, default 2;/* radius to draw vertices, in mm */
param n, integer, > 0;/* number of vertices */
set V, default 1..n;/* set of vertices */
set E, within V cross V;/* set of edges */
param x{i in V}, default 50 * cos((i - 1) / card(V) * 8 * atan(1));param y{i in V}, default 50 * sin((i - 1) / card(V) * 8 * atan(1));/* x[i] and y[i] are coordinates of node i, in mm */
param x0 := (min{i in V} x[i]) - R - 3.0;param y0 := (min{i in V} y[i]) - R - 3.0;param x1 := (max{i in V} x[i]) + R + 3.0;param y1 := (max{i in V} y[i]) + R + 3.0;
printf "%%!PS-Adobe-3.0 EPSF-3.0\n" > file;printf "%%%%BoundingBox: 0 0 %d %d\n", (72 / 25.4) * (x1 - x0), (72 / 25.4) * (y1 - y0) >> file;printf "/Helvetica findfont 6 scalefont setfont\n" >> file;printf "/mm { 72 mul 25.4 div } def\n" >> file;
for {(i,j) in E}{ printf "newpath\n" >> file; printf "%g mm %g mm moveto\n", x[i] - x0, y[i] - y0 >> file; printf "%g mm %g mm lineto\n", x[j] - x0, y[j] - y0 >> file; printf "closepath\n" >> file; printf "stroke\n" >> file;}
for {i in V}{ printf "newpath\n" >> file; printf "%g mm %g mm %g mm 0 360 arc\n", x[i] - x0, y[i] - y0, R >> file; printf "closepath\n" >> file; printf "gsave 1 1 1 setrgbcolor fill grestore\n" >> file; printf "stroke\n" >> file; printf "%g mm %g mm moveto\n", x[i] - (if i <= 9 then 1.2 else 1.8) - x0, y[i] - 0.8 - y0 >> file; printf "( %d ) show\n", i >> file;}
printf "showpage\n" >> file;printf "%%%%EOF\n" >> file;
data;
param: V : x y := 1 0 40 2 38 12 3 24 -32 4 -24 -32 5 -38 12 6 -19 26 7 19 26 8 31 -10 9 0 -32 10 -31 -10 11 -9 12 12 9 12 13 14 -5 14 0 -15 15 -14 -5 16 0 0 ;
set E := (1,*) 6 10 16 12 7 (2,*) 7 6 16 13 8 (3,*) 8 7 16 14 9 (4,*) 9 8 16 15 10 (5,*) 10 9 16 11 6 (6,*) 14 (7,*) 15 (8,*) 11 (9,*) 12 (10,*) 13 (11,*) 12 15 (12,*) 13 (13,*) 14 (14,*) 15 ;
end;
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