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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 /omegalib/examples/substitution.out
parent29efa7b1a0d089e02a70f73f348f11878955287c (diff)
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+>>> #
+>>> # Test various variable substitution scenarios
+>>> #
+>>>
+>>> symbolic n;
+>>>
+>>> # unimodular transformation
+>>> #
+>>> is := { [i,j] : 0 <=i<= 4 && 0 <= j<= 6 };
+>>> t := { [i,j] -> [i2,j2] : i2 = i+j && j2 = i+2*j };
+>>> codegen t:is;
+for(t1 = 0; t1 <= 10; t1++) {
+ for(t2 = max(t1,2*t1-4); t2 <= min(t1+6,2*t1); t2++) {
+ s1(2*t1-t2,t2-t1);
+ }
+}
+
+>>>
+>>>
+>>> # non-unimodular transformation
+>>> #
+>>> is := { [i,j] : 0 <=i<= 4 && 0 <= j<= 6 };
+>>> t := { [i,j] -> [i2,j2] : i2 = 2*i+j && j2 = i+2*j };
+>>> codegen t:is;
+for(t1 = 0; t1 <= 14; t1++) {
+ for(t2 = max(3*intDiv(intDiv(t1+1,2)--t1+2,3)+-t1,2*t1-12); t2 <= min(intDiv(t1+18,2),2*t1); t2 += 3) {
+ s1(intDiv(2*t1-t2,3),intDiv(2*t2-t1,3));
+ }
+}
+
+>>>
+>>>
+>>> # second loop level is degenerated
+>>> #
+>>> is := {[i,j]:1 <= j <= 100 && j = i+4};
+>>> t := {[i,j]->[a,b]: a = i && b = j};
+>>> codegen t:is;
+for(t1 = -3; t1 <= 96; t1++) {
+ s1(t1,t1+4);
+}
+
+>>>
+>>>
+>>> # global variable case 1
+>>> #
+>>> is := { [i] : 19+n = i };
+>>> t:= { [i] -> [j]: j = i };
+>>> codegen t:is;
+s1(n+19);
+
+>>>
+>>>
+>>> # global variable case 2
+>>> #
+>>> is := {[i]: i-16 <= n < i && exists (alpha: i = n+1+3*alpha) };
+>>> t := {[i] -> [i] : Exists ( alpha : i = 1+n+18alpha)};
+>>> codegen t:is;
+s1(n+1);
+
+