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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)
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parent29efa7b1a0d089e02a70f73f348f11878955287c (diff)
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-#
-# 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;
-
-
-# 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;
-known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+4*alpha) };
-gist is given known;
-
-codegen is;
-
-# 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;
-known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+4*alpha) };
-gist is given known;
-
-codegen is;
-
-is := { [i,j] : 1 <= i <= n && i <= j <= n && exists (alpha, beta: i= 1+256*alpha && j = i+8*beta) };
-is;
-known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+256*alpha) };
-gist is given known;
-
-codegen is;
-
-# 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;
-known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+4*alpha) };
-gist is given known;
-codegen is;
-
-is := { [i,j] : 1 <= i <= n && i <= j <= n && exists (alpha, beta: i= 1+6*alpha && j = i+4*beta) };
-is;
-known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+6*alpha) };
-gist is given known;
-codegen is;
-
-# 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;
-known := { [i,j] : 1 <= i <= n && exists (alpha: i = 1+12*alpha) };
-gist is given known;
-codegen is;