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Diffstat (limited to 'omegalib/examples/union.out')
-rw-r--r-- | omegalib/examples/union.out | 96 |
1 files changed, 0 insertions, 96 deletions
diff --git a/omegalib/examples/union.out b/omegalib/examples/union.out deleted file mode 100644 index bf42f02..0000000 --- a/omegalib/examples/union.out +++ /dev/null @@ -1,96 +0,0 @@ ->>> # test ConvexRepresentation ->>> ->>> symbolic n; ->>> ->>> # ->>> # result is convex, same behavior as PairwiseCheck ->>> # ->>> r1:={[i,j]: 0<=i,j<=100}; ->>> r2:={[i,j]: i>=100 && j>=0 && i+j<=200}; ->>> r3:={[i,j]: i>=0 && j>=100 && i+j<=200}; ->>> PairwiseCheck (r1 union r2 union r3); -{[i,j]: 0 <= i <= -j+200 && 0 <= j} ->>> ConvexRepresentation (r1 union r2 union r3); -{[i,j]: 0 <= i <= -j+200 && 0 <= j} ->>> ->>> r1:={[i]: 1<=i<=n && exists (alpha: i=2alpha)}; ->>> r2:={[i]: 1<=i<=n && exists (alpha: i=2alpha+1)}; ->>> PairwiseCheck (r1 union r2); -{[i]: 1 <= i <= n} ->>> ConvexRepresentation (r1 union r2); -{[i]: 1 <= i <= n} ->>> ->>> # ->>> # test neighboring regions merge ->>> # ->>> r1:={[i]: 1<=i<=9 && exists (alpha: i=2alpha+1)}; ->>> r2:={[i]: 9<=i<=99 && exists (alpha: i=2alpha+1)}; ->>> PairwiseCheck (r1 union r2); -{[i]: Exists ( alpha : 2alpha = 1+i && 1 <= i <= 9)} union - {[i]: Exists ( alpha : 2alpha = 1+i && 9 <= i <= 99)} ->>> ConvexRepresentation (r1 union r2); -{[i]: Exists ( alpha : 2alpha = 1+i && 1 <= i <= 99)} ->>> ->>> r1:={[i,j]:1<=i,j<=100}; ->>> r2:={[i,j]:50<=i<=100 && 100<=j<=200}; ->>> r3:={[i,j]:1<=i<=50 && 100<=j<=200}; ->>> r4:={[i,j]: 1000<=i,j<=2000}; ->>> PairwiseCheck (r1 union r2 union r3 union r4); -{[i,j]: 1 <= i <= 100 && 1 <= j <= 100} union - {[i,j]: 50 <= i <= 100 && 100 <= j <= 200} union - {[i,j]: 1 <= i <= 50 && 100 <= j <= 200} union - {[i,j]: 1000 <= i <= 2000 && 1000 <= j <= 2000} ->>> ConvexRepresentation (r1 union r2 union r3 union r4); -{[i,j]: 1 <= i <= 100 && 1 <= j <= 200} union - {[i,j]: 1000 <= i <= 2000 && 1000 <= j <= 2000} ->>> ->>> # ->>> # test stride condition merge, filling up holes ->>> # ->>> r1:={[i]:1<=i<=100 && exists (alpha: 1+7alpha<=i<=3+7alpha)}; ->>> r2:={[i]:1<=i<=100 && exists (alpha: i=4+7alpha)}; ->>> r3:={[i]:1<=i<=100 && exists (alpha: i=5+7alpha)}; ->>> r4:={[i]:1<=i<=100 && exists (alpha: 6+7alpha<=i<=9+7alpha)}; ->>> PairwiseCheck (r1 union r2 union r3); -{[i]: Exists ( alpha : 1, 7alpha+1 <= i <= 100, 7alpha+3)} union - {[i]: Exists ( alpha : 3+i = 7alpha && 4 <= i <= 95)} union - {[i]: Exists ( alpha : 2+i = 7alpha && 5 <= i <= 96)} ->>> ConvexRepresentation (r1 union r2 union r3); -{[i]: Exists ( alpha : 1, 7alpha+1 <= i <= 100, 7alpha+5)} ->>> ->>> PairwiseCheck (r1 union r2 union r4); -{[i]: Exists ( alpha : 1, 7alpha+1 <= i <= 100, 7alpha+3)} union - {[i]: Exists ( alpha : 3+i = 7alpha && 4 <= i <= 95)} union - {[i]: Exists ( alpha : 1, 7alpha+6 <= i <= 100, 7alpha+9)} ->>> ConvexRepresentation (r1 union r2 union r4); -{[i]: Exists ( alpha : 1, 7alpha+6 <= i <= 100, 7alpha+11)} ->>> ->>> r1:={[i]:6<=i<=96 && exists (alpha: i=6alpha)}; ->>> r2:={[i]:3<=i<=93 && exists (alpha: i=3+6alpha)}; ->>> PairwiseCheck (r1 union r2); -{[i]: Exists ( alpha : i = 6alpha && 6 <= i <= 96)} union - {[i]: Exists ( alpha : i = 3+6alpha && 3 <= i <= 93)} ->>> ConvexRepresentation (r1 union r2); -{[i]: Exists ( alpha : i = 3alpha && 3 <= i <= 96)} ->>> ->>> r1:={[i]:1<=i<=100 && exists (alpha: 1+15alpha<=i<=4+15alpha)}; ->>> r2:={[i]:1<=i<=100 && exists (alpha: 6+15alpha<=i<=8+15alpha)}; ->>> r3:={[i]:1<=i<=100 && exists (alpha: 11+15alpha<=i<=13+15alpha)}; ->>> PairwiseCheck (r1 union r2 union r3); -{[i]: Exists ( alpha : 1, 15alpha+1 <= i <= 100, 15alpha+4)} union - {[i]: Exists ( alpha : 1, 15alpha+6 <= i <= 100, 15alpha+8)} union - {[i]: Exists ( alpha : 1, 15alpha+11 <= i <= 100, 15alpha+13)} ->>> ConvexRepresentation (r1 union r2 union r3); -{[i]: Exists ( alpha : i = 4+15alpha && 4 <= i <= 94)} union - {[i]: Exists ( alpha : 1, 5alpha+1 <= i <= 100, 5alpha+3)} ->>> ->>> # ->>> # additional test cases ->>> # ->>> r1:={[i]:0<=i<=100}; ->>> r2:={[i]: 10<=i<=100 && exists (alpha: i=1+5alpha)}; ->>> PairwiseCheck (r1 union r2); -{[i]: 0 <= i <= 100} ->>> ConvexRepresentation (r1 union r2); -{[i]: 0 <= i <= 100} ->>> |