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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/floor_bound
parent29efa7b1a0d089e02a70f73f348f11878955287c (diff)
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-#
-# Test floor/ceiling variable definitions in loop bounds
-# Notes:
-# intFloor, intCeil are strict mathematical definition,
-# intMod(a,b) always has input b>0 and returns [0,b).
-#
-
-symbolic m, n;
-
-# loop is strided
-#
-is := {[i]: exists (alpha: i = 4alpha && m <= 3i <= n)};
-codegen is;
-
-# only one single floor/ceiling variable in bound
-#
-is := {[i]: exists (lb: m-4 < 4*lb <= m && lb <= i <= n)};
-codegen is;
-
-# the floor/ceiling variable in bound has coefficient
-#
-is := {[i]: exists (lb: m-4 < 4*lb <= m && 4*lb <= i <= n)};
-codegen is;
-
-# mutiple floor/ceiling variables in bound
-#
-is := {[i]:exists (alpha,beta: m-4<4alpha<=m && m-3<3beta<=m &&
- 4alpha+3*beta<=i<=n )};
-codegen is;
-
-# non-tight floor/ceiling definition
-#
-is := {[i]: exists (ub: n-2 < 3*ub <= n && m <= i <= 5*ub)};
-codegen is;
-
-# chain floor/ceiling definitions
-#
-is := {[i]: exists (alpha, beta: beta-4<4alpha<=beta &&
- m-8<8beta<=m && 4alpha<=i<=n )};
-codegen is;
-
-# one complicated case
-#
-is := {[i]: exists (alpha, beta: beta-4<4alpha<=beta &&
- m-7<8beta<=m && 4alpha<=i<=n )};
-codegen is;