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author | Derick Huth <derickhuth@gmail.com> | 2014-10-06 12:42:34 -0600 |
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committer | Derick Huth <derickhuth@gmail.com> | 2014-10-06 12:42:34 -0600 |
commit | 8d73c8fcc75556c1df71dd39dd99783f8f86fc3e (patch) | |
tree | 157d627863d76a4c256a27cae27ce2e8566c7ea0 /omega/examples/old_test/closure3.oc-rt | |
parent | e87b55ad69f0ac6211daae741b32c8ee9dcbe470 (diff) | |
parent | 8c646f24570079eac53e58fcf42d0d4fbc437ee3 (diff) | |
download | chill-8d73c8fcc75556c1df71dd39dd99783f8f86fc3e.tar.gz chill-8d73c8fcc75556c1df71dd39dd99783f8f86fc3e.tar.bz2 chill-8d73c8fcc75556c1df71dd39dd99783f8f86fc3e.zip |
Merge pull request #2 from dhuth/master
Moved omega into chill.
Diffstat (limited to 'omega/examples/old_test/closure3.oc-rt')
-rw-r--r-- | omega/examples/old_test/closure3.oc-rt | 48 |
1 files changed, 48 insertions, 0 deletions
diff --git a/omega/examples/old_test/closure3.oc-rt b/omega/examples/old_test/closure3.oc-rt new file mode 100644 index 0000000..4d99b34 --- /dev/null +++ b/omega/examples/old_test/closure3.oc-rt @@ -0,0 +1,48 @@ +# Omega Calculator v1.2 (based on Omega Library 1.2, August, 2000): +# symbolic n,m; +# +# d11 := {[i,j] -> [i,2i+j] : 1 <= i <= n && 1 <= j,2i+j <= m}; +# +# d12 := {[i,j] -> [i,j+4] : 1 <= i <= n && 1 <= j,j+4 <= m}; +# +# d := d11 union d12; +# +# d+; + +{[1,j] -> [1,j+2] : j+2 <= m <= 4 && 1 <= n && 1 <= j} union + {[i,j] -> [i,Out_2] : Exists ( alpha : Out_2 = j+4alpha && Out_2+4 <= m <= 2i && 1 <= j <= Out_2-4 && i <= n)} union + {[i,j] -> [i,Out_2] : Exists ( alpha : Out_2 = 2i+j+4alpha && 1 <= i <= n && Out_2 <= m && 1 <= j && 5 <= m && 2i+j <= Out_2)} union + {[i,j] -> [i,Out_2] : Exists ( alpha,beta : Out_2 = j+4alpha && 1 <= i <= n && Out_2 <= m && 2i+4beta < Out_2 && 1 <= j && Out_2 <= m+2i+4beta && 4i+j <= Out_2)} union + {[i,j] -> [i,Out_2] : Exists ( alpha : Out_2 = j+4alpha && 1 <= i <= n && 1 <= j <= Out_2-4 && Out_2 <= m && 2i < m)} + +# +# d+ compose d; + +{[i,j] -> [i,Out_2] : Exists ( alpha : Out_2 = j+4alpha && Out_2+4 <= m <= 2i && 1 <= j <= Out_2-8 && i <= n)} union + {[i,j] -> [i,Out_2] : Exists ( alpha : Out_2 = j+4alpha && 1 <= i <= n && Out_2 <= m && 1 <= j && 4i+j <= Out_2)} union + {[i,j] -> [i,Out_2] : Exists ( alpha : Out_2 = 2i+j+4alpha && 1 <= i <= n && Out_2 <= m && 4+2i+j <= Out_2 && 1 <= j)} union + {[i,j] -> [i,Out_2] : Exists ( alpha : Out_2 = j+4alpha && 1 <= i <= n && 1 <= j <= Out_2-8 && Out_2 <= m && 2i < m)} + +# +# d11 - (d+ compose d); + +{[i,j] -> [i,2i+j] : 1 <= i <= 3, n && 1 <= j && 2i+j <= m} union + {[i,j] -> [i,2i+j] : Exists ( alpha : 2alpha = 1+i && 5 <= i <= n && 2i+j <= m && 1 <= j)} + +# +# gist d11 - (d+ compose d) given d11; + +{[i,j] -> [i',Out_2] : i' <= 3} union + {[i,j] -> [i',Out_2] : Exists ( alpha : 0 = 1+i'+2alpha && 5 <= i)} + +# +# d12 - (d+ compose d); + +{[i,j] -> [i,j+4] : 2 <= i <= n && 1 <= j <= m-4} + +# +# gist d12 - (d+ compose d) given d12; + +{[i,j] -> [i',Out_2] : 2 <= i'} + +# |