summaryrefslogtreecommitdiff
path: root/omegalib/examples/gist.out
diff options
context:
space:
mode:
Diffstat (limited to 'omegalib/examples/gist.out')
-rw-r--r--omegalib/examples/gist.out110
1 files changed, 0 insertions, 110 deletions
diff --git a/omegalib/examples/gist.out b/omegalib/examples/gist.out
deleted file mode 100644
index 44fa8f7..0000000
--- a/omegalib/examples/gist.out
+++ /dev/null
@@ -1,110 +0,0 @@
->>> #
->>> # Test gist function and code generation for modular equations
->>> #
->>>
->>> symbolic n;
->>>
->>> # basic gist function
->>> #
->>> R:={[t1,t2]: exists (aa : 2aa = t1 && 2 <= t1 && t1 <= 8)};
->>> known := {[t1,t2]: 1 <= t1 <= 9};
->>> gist R given known;
-{[t1,t2]: exists ( alpha : 2alpha = t1)}
->>>
->>>
->>> # test modulo equations by coprime numbers
->>> #
->>> is := { [i,j] : 1 <= i <= n && i <= j <= n && exists (alpha, beta: i= 1+4*alpha && j = i+3*beta) };
->>> is;
-{[i,j]: exists ( alpha : 3+i = 4j+12alpha && 1 <= i <= j <= n)}
->>> known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+4*alpha) };
->>> gist is given known;
-{[i,j]: exists ( alpha : j = i+3alpha && i <= j <= n)}
->>>
->>> codegen is;
-for(t1 = 1; t1 <= n; t1 += 4) {
- for(t2 = t1; t2 <= n; t2 += 3) {
- s0(t1,t2);
- }
-}
-
->>>
->>> # test modulo equations by numbers in multiple
->>> #
->>> is := { [i,j] : 1 <= i <= n && i <= j <= n && exists (alpha, beta: i= 1+4*alpha && j = i+8*beta) };
->>> is;
-{[i,j]: exists ( alpha,beta : j = i+8alpha && i = 1+4beta && 1 <= i <= j <= n)}
->>> known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+4*alpha) };
->>> gist is given known;
-{[i,j]: exists ( alpha : j = i+8alpha && i <= j <= n)}
->>>
->>> codegen is;
-for(t1 = 1; t1 <= n; t1 += 4) {
- for(t2 = t1; t2 <= n; t2 += 8) {
- s0(t1,t2);
- }
-}
-
->>>
->>> is := { [i,j] : 1 <= i <= n && i <= j <= n && exists (alpha, beta: i= 1+256*alpha && j = i+8*beta) };
->>> is;
-{[i,j]: exists ( alpha,beta : j = 1+8alpha && i = 1+256beta && 1 <= i <= j <= n)}
->>> known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+256*alpha) };
->>> gist is given known;
-{[i,j]: exists ( alpha : j = 1+8alpha && i <= j <= n)}
->>>
->>> codegen is;
-for(t1 = 1; t1 <= n; t1 += 256) {
- for(t2 = t1; t2 <= n; t2 += 8) {
- s0(t1,t2);
- }
-}
-
->>>
->>> # test modulo equations by gcd != 1
->>> #
->>> is := { [i,j] : 1 <= i <= n && i <= j <= n && exists (alpha, beta: i= 1+4*alpha && j = i+1+6*beta) };
->>> is;
-{[i,j]: exists ( alpha,beta : i+2j = 5+12alpha && i = 1+4beta && 1 <= i < j <= n)}
->>> known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+4*alpha) };
->>> gist is given known;
-{[i,j]: exists ( alpha : i+2j = 5+12alpha && i < j <= n)}
->>> codegen is;
-for(t1 = 1; t1 <= n-1; t1 += 4) {
- for(t2 = t1+1; t2 <= n; t2 += 6) {
- s0(t1,t2);
- }
-}
-
->>>
->>> is := { [i,j] : 1 <= i <= n && i <= j <= n && exists (alpha, beta: i= 1+6*alpha && j = i+4*beta) };
->>> is;
-{[i,j]: exists ( alpha,beta : 3j = 2+i+12alpha && i = 1+6beta && 1 <= i <= j <= n)}
->>> known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+6*alpha) };
->>> gist is given known;
-{[i,j]: exists ( alpha : i+j = 2+4alpha && i <= j <= n)}
->>> codegen is;
-for(t1 = 1; t1 <= n; t1 += 6) {
- for(t2 = t1; t2 <= n; t2 += 4) {
- s0(t1,t2);
- }
-}
-
->>>
->>> # gist won't simpilfy to the result we want, but the code generation
->>> # takes care of it
->>> #
->>> is := { [i,j] : 1 <= i <= n && i <= j <= n && exists (alpha, beta: i= 1+12*alpha && j = i+8*beta) };
->>> is;
-{[i,j]: exists ( alpha,beta : 3j = 2+i+24alpha && i = 1+12beta && 1 <= i <= j <= n)}
->>> known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+12*alpha) };
->>> gist is given known;
-{[i,j]: exists ( alpha : 2+i = 3j+8alpha && i <= j <= n)}
->>> codegen is;
-for(t1 = 1; t1 <= n; t1 += 12) {
- for(t2 = t1; t2 <= n; t2 += 8) {
- s0(t1,t2);
- }
-}
-
->>>