1 | /* graph.mod - graph visualization */ |
---|
2 | |
---|
3 | /* Written in GNU MathProg by Andrew Makhorin <mao@gnu.org> */ |
---|
4 | |
---|
5 | /* This model creates a picture in EPS format to visualize a graph. */ |
---|
6 | |
---|
7 | param file, symbolic, default "graph.eps"; |
---|
8 | /* output file to write the picture */ |
---|
9 | |
---|
10 | param R, default 2; |
---|
11 | /* radius to draw vertices, in mm */ |
---|
12 | |
---|
13 | param n, integer, > 0; |
---|
14 | /* number of vertices */ |
---|
15 | |
---|
16 | set V, default 1..n; |
---|
17 | /* set of vertices */ |
---|
18 | |
---|
19 | set E, within V cross V; |
---|
20 | /* set of edges */ |
---|
21 | |
---|
22 | param x{i in V}, default 50 * cos((i - 1) / card(V) * 8 * atan(1)); |
---|
23 | param y{i in V}, default 50 * sin((i - 1) / card(V) * 8 * atan(1)); |
---|
24 | /* x[i] and y[i] are coordinates of node i, in mm */ |
---|
25 | |
---|
26 | param x0 := (min{i in V} x[i]) - R - 3.0; |
---|
27 | param y0 := (min{i in V} y[i]) - R - 3.0; |
---|
28 | param x1 := (max{i in V} x[i]) + R + 3.0; |
---|
29 | param y1 := (max{i in V} y[i]) + R + 3.0; |
---|
30 | |
---|
31 | printf "%%!PS-Adobe-3.0 EPSF-3.0\n" > file; |
---|
32 | printf "%%%%BoundingBox: 0 0 %d %d\n", |
---|
33 | (72 / 25.4) * (x1 - x0), (72 / 25.4) * (y1 - y0) >> file; |
---|
34 | printf "/Helvetica findfont 6 scalefont setfont\n" >> file; |
---|
35 | printf "/mm { 72 mul 25.4 div } def\n" >> file; |
---|
36 | |
---|
37 | for {(i,j) in E} |
---|
38 | { printf "newpath\n" >> file; |
---|
39 | printf "%g mm %g mm moveto\n", x[i] - x0, y[i] - y0 >> file; |
---|
40 | printf "%g mm %g mm lineto\n", x[j] - x0, y[j] - y0 >> file; |
---|
41 | printf "closepath\n" >> file; |
---|
42 | printf "stroke\n" >> file; |
---|
43 | } |
---|
44 | |
---|
45 | for {i in V} |
---|
46 | { printf "newpath\n" >> file; |
---|
47 | printf "%g mm %g mm %g mm 0 360 arc\n", |
---|
48 | x[i] - x0, y[i] - y0, R >> file; |
---|
49 | printf "closepath\n" >> file; |
---|
50 | printf "gsave 1 1 1 setrgbcolor fill grestore\n" >> file; |
---|
51 | printf "stroke\n" >> file; |
---|
52 | printf "%g mm %g mm moveto\n", |
---|
53 | x[i] - (if i <= 9 then 1.2 else 1.8) - x0, |
---|
54 | y[i] - 0.8 - y0 >> file; |
---|
55 | printf "( %d ) show\n", i >> file; |
---|
56 | } |
---|
57 | |
---|
58 | printf "showpage\n" >> file; |
---|
59 | printf "%%%%EOF\n" >> file; |
---|
60 | |
---|
61 | data; |
---|
62 | |
---|
63 | param |
---|
64 | : V : x y := |
---|
65 | 1 0 40 |
---|
66 | 2 38 12 |
---|
67 | 3 24 -32 |
---|
68 | 4 -24 -32 |
---|
69 | 5 -38 12 |
---|
70 | 6 -19 26 |
---|
71 | 7 19 26 |
---|
72 | 8 31 -10 |
---|
73 | 9 0 -32 |
---|
74 | 10 -31 -10 |
---|
75 | 11 -9 12 |
---|
76 | 12 9 12 |
---|
77 | 13 14 -5 |
---|
78 | 14 0 -15 |
---|
79 | 15 -14 -5 |
---|
80 | 16 0 0 ; |
---|
81 | |
---|
82 | set E := |
---|
83 | (1,*) 6 10 16 12 7 |
---|
84 | (2,*) 7 6 16 13 8 |
---|
85 | (3,*) 8 7 16 14 9 |
---|
86 | (4,*) 9 8 16 15 10 |
---|
87 | (5,*) 10 9 16 11 6 |
---|
88 | (6,*) 14 |
---|
89 | (7,*) 15 |
---|
90 | (8,*) 11 |
---|
91 | (9,*) 12 |
---|
92 | (10,*) 13 |
---|
93 | (11,*) 12 15 |
---|
94 | (12,*) 13 |
---|
95 | (13,*) 14 |
---|
96 | (14,*) 15 ; |
---|
97 | |
---|
98 | end; |
---|