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| author | dhuth <derickhuth@gmail.com> | 2014-10-06 11:56:47 -0600 |
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| committer | dhuth <derickhuth@gmail.com> | 2014-10-06 11:56:47 -0600 |
| commit | e4b20015a4ee35f1279af4caa983478fa2ff0d4a (patch) | |
| tree | f47cbff8b2bba458b54a739e91a87b303f7665f1 /omega/examples/old_test/closure3.oc-rt | |
| parent | 600fa18324c21a162c50c40ae5f00c899a41dd24 (diff) | |
| download | chill-e4b20015a4ee35f1279af4caa983478fa2ff0d4a.tar.gz chill-e4b20015a4ee35f1279af4caa983478fa2ff0d4a.tar.bz2 chill-e4b20015a4ee35f1279af4caa983478fa2ff0d4a.zip | |
Added omega to source
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'} + +# |