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-rw-r--r--omegalib/examples/union.out96
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diff --git a/omegalib/examples/union.out b/omegalib/examples/union.out
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->>> # 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}
->>>