From e4b20015a4ee35f1279af4caa983478fa2ff0d4a Mon Sep 17 00:00:00 2001 From: dhuth Date: Mon, 6 Oct 2014 11:56:47 -0600 Subject: Added omega to source --- omega/examples/floor_bound | 46 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 46 insertions(+) create mode 100644 omega/examples/floor_bound (limited to 'omega/examples/floor_bound') diff --git a/omega/examples/floor_bound b/omega/examples/floor_bound new file mode 100644 index 0000000..3cb0d57 --- /dev/null +++ b/omega/examples/floor_bound @@ -0,0 +1,46 @@ +# +# 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; -- cgit v1.2.3-70-g09d2