examples/graph.mod
changeset 1 c445c931472f
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/examples/graph.mod	Mon Dec 06 13:09:21 2010 +0100
     1.3 @@ -0,0 +1,98 @@
     1.4 +/* graph.mod - graph visualization */
     1.5 +
     1.6 +/* Written in GNU MathProg by Andrew Makhorin <mao@gnu.org> */
     1.7 +
     1.8 +/* This model creates a picture in EPS format to visualize a graph. */
     1.9 +
    1.10 +param file, symbolic, default "graph.eps";
    1.11 +/* output file to write the picture */
    1.12 +
    1.13 +param R, default 2;
    1.14 +/* radius to draw vertices, in mm */
    1.15 +
    1.16 +param n, integer, > 0;
    1.17 +/* number of vertices */
    1.18 +
    1.19 +set V, default 1..n;
    1.20 +/* set of vertices */
    1.21 +
    1.22 +set E, within V cross V;
    1.23 +/* set of edges */
    1.24 +
    1.25 +param x{i in V}, default 50 * cos((i - 1) / card(V) * 8 * atan(1));
    1.26 +param y{i in V}, default 50 * sin((i - 1) / card(V) * 8 * atan(1));
    1.27 +/* x[i] and y[i] are coordinates of node i, in mm */
    1.28 +
    1.29 +param x0 := (min{i in V} x[i]) - R - 3.0;
    1.30 +param y0 := (min{i in V} y[i]) - R - 3.0;
    1.31 +param x1 := (max{i in V} x[i]) + R + 3.0;
    1.32 +param y1 := (max{i in V} y[i]) + R + 3.0;
    1.33 +
    1.34 +printf "%%!PS-Adobe-3.0 EPSF-3.0\n" > file;
    1.35 +printf "%%%%BoundingBox: 0 0 %d %d\n",
    1.36 +      (72 / 25.4) * (x1 - x0), (72 / 25.4) * (y1 - y0) >> file;
    1.37 +printf "/Helvetica findfont 6 scalefont setfont\n" >> file;
    1.38 +printf "/mm { 72 mul 25.4 div } def\n" >> file;
    1.39 +
    1.40 +for {(i,j) in E}
    1.41 +{     printf "newpath\n" >> file;
    1.42 +      printf "%g mm %g mm moveto\n", x[i] - x0, y[i] - y0 >> file;
    1.43 +      printf "%g mm %g mm lineto\n", x[j] - x0, y[j] - y0 >> file;
    1.44 +      printf "closepath\n" >> file;
    1.45 +      printf "stroke\n" >> file;
    1.46 +}
    1.47 +
    1.48 +for {i in V}
    1.49 +{     printf "newpath\n" >> file;
    1.50 +      printf "%g mm %g mm %g mm 0 360 arc\n",
    1.51 +         x[i] - x0, y[i] - y0, R >> file;
    1.52 +      printf "closepath\n" >> file;
    1.53 +      printf "gsave 1 1 1 setrgbcolor fill grestore\n" >> file;
    1.54 +      printf "stroke\n" >> file;
    1.55 +      printf "%g mm %g mm moveto\n",
    1.56 +         x[i] - (if i <= 9 then 1.2 else 1.8) - x0,
    1.57 +         y[i] - 0.8 - y0 >> file;
    1.58 +      printf "( %d ) show\n", i >> file;
    1.59 +}
    1.60 +
    1.61 +printf "showpage\n" >> file;
    1.62 +printf "%%%%EOF\n" >> file;
    1.63 +
    1.64 +data;
    1.65 +
    1.66 +param
    1.67 +:  V  :  x     y :=
    1.68 +   1     0    40
    1.69 +   2    38    12
    1.70 +   3    24   -32
    1.71 +   4   -24   -32
    1.72 +   5   -38    12
    1.73 +   6   -19    26
    1.74 +   7    19    26
    1.75 +   8    31   -10
    1.76 +   9     0   -32
    1.77 +  10   -31   -10
    1.78 +  11    -9    12
    1.79 +  12     9    12
    1.80 +  13    14    -5
    1.81 +  14     0   -15
    1.82 +  15   -14    -5
    1.83 +  16     0     0 ;
    1.84 +
    1.85 +set E :=
    1.86 +   (1,*)  6 10 16 12  7
    1.87 +   (2,*)  7  6 16 13  8
    1.88 +   (3,*)  8  7 16 14  9
    1.89 +   (4,*)  9  8 16 15 10
    1.90 +   (5,*) 10  9 16 11  6
    1.91 +   (6,*) 14
    1.92 +   (7,*) 15
    1.93 +   (8,*) 11
    1.94 +   (9,*) 12
    1.95 +  (10,*) 13
    1.96 +  (11,*) 12 15
    1.97 +  (12,*) 13
    1.98 +  (13,*) 14
    1.99 +  (14,*) 15 ;
   1.100 +
   1.101 +end;