spielwiese
Last change
on this file was
9a446f3,
checked in by Hans Schönemann <hannes@…>, 14 years ago

more plural tests
gitsvnid: file:///usr/local/Singular/svn/trunk@12659 2c84dea37e6841379b89c4e89433aadc


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Line  

1  LIB "tst.lib"; 

2  tst_init(); 

3  LIB "dmod.lib"; 

4  ring r = 0,(x,y),dp; 

5  poly f = x^3+xy; 

6  def S = Sannfs(f); setring S; // compute the annihilator of f^s 

7  LD; // is not a Groebner basis yet! 

8  poly f = imap(r,f); 

9  poly P = f*Dxs*diff(f,x); 

10  ideal I = LD, f; // consider a bigger ideal 

11  module A = LD*gen(1), I*gen(2); module B = slimgb(A); 

12  vector V = [P,(s+1)^2]; NF(V,B); //0 

13  list LV = division(V,A); 

14  vector W = [1,s^2]; NF(W,B); //!=0 

15  list LW = division(W,A); 

16  matrix M = matrix(W); matrix N = matrix(A); 

17  matrix T = matrix(LW[1]); matrix R = matrix(LW[2]); matrix U = matrix(LW[3]); 

18  // test: 

19  transpose(U)*transpose(M)  transpose(T)*transpose(N)  transpose(R); // must be 0 

20  vector W2 = [s^2,s^2]; NF(W2,B); //!=0 

21  // matrix to matrix 

22  matrix M2[2][2] = 1,s^2,s^2,1; 

23  list LW2 = division(M2,A); 

24  kill M,N; 

25  matrix M = matrix(M2); matrix N = matrix(A); 

26  kill T,R,U; 

27  matrix T = matrix(LW2[1]); matrix R = matrix(LW2[2]); matrix U = matrix(LW2[3]); 

28  transpose(U)*transpose(M)  transpose(T)*transpose(N)  transpose(R); // must be 0 

29  tst_status(1);$ 

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