Austin Schuh | 405fa6c | 2015-09-06 18:13:55 -0700 | [diff] [blame^] | 1 | * Projection example: project2.ine |
| 2 | * Project on the 3-space (x1, x2, x3) by eliminating the last |
| 3 | * three variables (x4,x5,x6). The result is project2res.ine . |
| 4 | * This appears to be a very hard example to compute by |
| 5 | * the straighforward Fourier or Block elimination because they |
| 6 | * generate so many redundant inequalities. |
| 7 | H-representation |
| 8 | begin |
| 9 | 62 7 integer |
| 10 | 7 0 0 0 -3 1 -2 |
| 11 | 9 0 0 0 -2 -1 -3 |
| 12 | 7 0 0 0 -2 1 -3 |
| 13 | 9 0 0 0 -3 -1 -2 |
| 14 | 3 0 0 0 -2 3 -1 |
| 15 | 1 0 0 0 -2 3 1 |
| 16 | 5 0 0 0 -3 2 -1 |
| 17 | 3 0 0 0 -3 2 1 |
| 18 | 3 0 0 0 1 -3 2 |
| 19 | 1 0 0 0 1 -2 3 |
| 20 | 5 0 0 0 -1 -3 2 |
| 21 | 3 0 0 0 -1 -2 3 |
| 22 | -3 0 0 0 1 2 3 |
| 23 | -3 0 0 0 1 3 2 |
| 24 | -1 0 0 0 -1 2 3 |
| 25 | -1 0 0 0 -1 3 2 |
| 26 | 1 0 0 0 3 1 -2 |
| 27 | 5 0 0 0 2 -1 -3 |
| 28 | 3 0 0 0 3 -1 -2 |
| 29 | 3 0 0 0 2 1 -3 |
| 30 | -1 0 0 0 2 3 -1 |
| 31 | -1 0 0 0 3 2 -1 |
| 32 | -3 0 0 0 2 3 1 |
| 33 | -3 0 0 0 3 2 1 |
| 34 | -3 0 0 0 2 1 3 |
| 35 | -1 0 0 0 3 -1 2 |
| 36 | -1 0 0 0 2 -1 3 |
| 37 | -3 0 0 0 3 1 2 |
| 38 | 3 0 0 0 2 -3 1 |
| 39 | 5 0 0 0 2 -3 -1 |
| 40 | 1 0 0 0 3 -2 1 |
| 41 | 3 0 0 0 3 -2 -1 |
| 42 | 3 0 0 0 -1 3 -2 |
| 43 | 5 0 0 0 -1 2 -3 |
| 44 | 1 0 0 0 1 3 -2 |
| 45 | 3 0 0 0 1 2 -3 |
| 46 | 9 0 0 0 -1 -2 -3 |
| 47 | 9 0 0 0 -1 -3 -2 |
| 48 | 7 0 0 0 1 -2 -3 |
| 49 | 7 0 0 0 1 -3 -2 |
| 50 | 5 0 0 0 -3 -1 2 |
| 51 | 1 0 0 0 -2 1 3 |
| 52 | 3 0 0 0 -2 -1 3 |
| 53 | 3 0 0 0 -3 1 2 |
| 54 | 7 0 0 0 -2 -3 1 |
| 55 | 9 0 0 0 -2 -3 -1 |
| 56 | 7 0 0 0 -3 -2 1 |
| 57 | 9 0 0 0 -3 -2 -1 |
| 58 | 0 1 0 0 -1 0 0 |
| 59 | 0 0 1 0 0 -1 0 |
| 60 | 0 0 0 1 0 0 -1 |
| 61 | 2 -1 0 0 1 0 0 |
| 62 | 2 0 -1 0 0 1 0 |
| 63 | 2 0 0 -1 0 0 1 |
| 64 | -1 1 1 1 -1 -1 -1 |
| 65 | 1 -1 1 1 1 -1 -1 |
| 66 | 1 1 -1 1 -1 1 -1 |
| 67 | 1 1 1 -1 -1 -1 1 |
| 68 | 3 -1 -1 1 1 1 -1 |
| 69 | 3 1 -1 -1 -1 1 1 |
| 70 | 3 -1 1 -1 1 -1 1 |
| 71 | 5 -1 -1 -1 1 1 1 |
| 72 | end |
| 73 | project 3 1 2 3 |