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