spielwiese
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Last change
on this file since 293722 was
293722,
checked in by Viktor Levandovskyy <levandov@…>, 14 years ago
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*levandov: tests for new functions in doc, for plural
git-svn-id: file:///usr/local/Singular/svn/trunk@12656 2c84dea3-7e68-4137-9b89-c4e89433aadc
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Property mode set to
100644
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File size:
1006 bytes
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| [293722] | 1 | LIB "tst.lib"; |
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| 2 | tst_init(); |
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| 3 | LIB "dmod.lib"; |
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| 4 | ring r = 0,(x,y),dp; |
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| 5 | poly f = x^3+xy; |
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| 6 | def S = Sannfs(f); setring S; // compute the annihilator of f^s |
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| 7 | LD; // is not a Groebner basis yet! |
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| 8 | poly f = imap(r,f); |
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| 9 | poly P = f*Dx-s*diff(f,x); |
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| 10 | ideal I = LD, f; // consider a bigger ideal |
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| 11 | module A = LD*gen(1), I*gen(2); module B = slimgb(A); |
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| 12 | vector V = [P,(s+1)^2]; NF(V,B); //0 |
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| 13 | list LV = division(V,A); |
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| 14 | vector W = [1,s^2]; NF(W,B); //!=0 |
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| 15 | list LW = division(W,A); |
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| 16 | matrix M = matrix(W); matrix N = matrix(A); |
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| 17 | matrix T = matrix(LW[1]); matrix R = matrix(LW[2]); matrix U = matrix(LW[3]); |
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| 18 | // test: |
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| 19 | transpose(U)*transpose(M) - transpose(T)*transpose(N) - transpose(R); // must be 0 |
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| 20 | vector W2 = [s^2,s^2]; NF(W2,B); //!=0 |
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| 21 | // matrix to matrix |
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| 22 | matrix M2[2][2] = 1,s^2,s^2,1; |
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| 23 | list LW2 = division(M2,A); |
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| 24 | matrix M = matrix(M2); matrix N = matrix(A); |
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| 25 | matrix T = matrix(LW2[1]); matrix R = matrix(LW2[2]); matrix U = matrix(LW2[3]); |
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| 26 | transpose(U)*transpose(M) - transpose(T)*transpose(N) - transpose(R); // must be 0 |
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| 27 | tst_status(1);$ |
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