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authorTuowen Zhao <ztuowen@gmail.com>2016-09-17 03:22:53 +0000
committerTuowen Zhao <ztuowen@gmail.com>2016-09-17 03:22:53 +0000
commit75ff98e4d65862ff5b36b533b4f6e3ea71ede1d5 (patch)
tree498ac06b4cf78568b807fafd2619856afff69c28 /omega/examples/old_test/davew1.oc-rt
parent29efa7b1a0d089e02a70f73f348f11878955287c (diff)
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-# Omega Calculator v1.2 (based on Omega Library 1.2, August, 2000):
-# #
-# # A one point, we couldn't handling this analysis of value-based dependences.
-# # Now we can :-)
-# #
-#
-# Pos := {[In_1,In_2] -> [i,j] : 1 <= i,j <= 100 &&
-# In_1 = 1+2j+i && 2i+In_2 = 1 };
-#
-#
-# ko := {[In_1,In_2] -> [i,j] : 1+In_1+2j = 4i && In_2+i+2j = 0 &&
-# 1 <= i <= 100 && 1 <= j <= 100};
-#
-#
-# kf := {[i,j] -> [i',j'] : 1 <= i,i',j,j' <= 100 && i < i' &&
-# 4i = 2+2j+2j'+i' && 2i' = 1+2j+i };
-#
-#
-# k := ko join kf;
-#
-#
-# k intersection Pos;
-
-{[In_1,In_2] -> [i,j] : Exists ( alpha : In_2+2i = 1 && 2In_1+In_2 = 3+4j && In_2 = 5+8j+20alpha && -199 <= In_2 <= -2j-5 && 1 <= j)}
-
-#
-# example (k intersection Pos);
-
-{[7,-7] -> [4,1] }
-
-#
-# Pos;
-
-{[In_1,In_2] -> [i,j] : In_1 = 1+i+2j && In_2+2i = 1 && 1 <= i <= 100 && 1 <= j <= 100}
-
-#
-# Pos - (ko join kf);
-
-{[In_1,In_2] -> [i,j] : In_1 = 1+i+2j && In_2+2i = 1 && 1 <= i <= j+2, 100 && 1 <= j <= 100} union
- {[In_1,In_2] -> [i,j] : Exists ( alpha : In_1 = 1+i+2j && In_2+2i = 1 && j+3 <= i <= 100 && 5+10alpha <= 3i+2j && 3i+2j <= 13+10alpha && 1 <= j)}
-
-#
-# Pos - k;
-
-{[In_1,In_2] -> [i,j] : 1+i+2j = In_1 && 2In_1+In_2 = 3+4j && 2j+2 <= In_1 <= 3j+3, 2j+101 && 1 <= j <= 100} union
- {[In_1,In_2] -> [i,j] : Exists ( alpha : 1+i+2j = In_1 && 2In_1+In_2 = 3+4j && 3j+4 <= In_1 <= 2j+101 && 8+4j+10alpha <= 3In_1 && 3In_1 <= 16+4j+10alpha && 1 <= j)}
-
-#
-# answer := Pos - k;
-#
-# answer;
-
-{[In_1,In_2] -> [i,j] : 1+i+2j = In_1 && 2In_1+In_2 = 3+4j && 2j+2 <= In_1 <= 3j+3, 2j+101 && 1 <= j <= 100} union
- {[In_1,In_2] -> [i,j] : Exists ( alpha : 1+i+2j = In_1 && 2In_1+In_2 = 3+4j && 3j+4 <= In_1 <= 2j+101 && 8+4j+10alpha <= 3In_1 && 3In_1 <= 16+4j+10alpha && 1 <= j)}
-
-#
-# answer intersection {[7,-7] -> [4,1]};
-
-{[In_1,In_2] -> [i,j] : FALSE }
-
-#
-# gist answer given Pos;
-
-{[In_1,In_2] -> [i,j] : i <= j+2} union
- {[In_1,In_2] -> [i,j] : Exists ( alpha : j <= i-3 && 3i+2j <= 13+10alpha && 5+10alpha <= 3i+2j)}
-
-#