spielwiese
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Last change
on this file since 891438c was
891438c,
checked in by Gerhard Pfister <pfister@…>, 23 years ago
|
|
*GP: initial release
git-svn-id: file:///usr/local/Singular/svn/trunk@5579 2c84dea3-7e68-4137-9b89-c4e89433aadc
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-
Property mode set to
100644
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File size:
979 bytes
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| 1 | LIB "tst.lib"; |
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| 2 | tst_init(); |
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| 3 | |
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| 4 | proc invers(poly p, int k) |
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| 5 | { |
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| 6 | poly q=1/p[1]; |
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| 7 | poly re=q; |
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| 8 | p=q*(p[1]-jet(p,k)); |
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| 9 | poly s=p; |
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| 10 | while(p!=0) |
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| 11 | { |
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| 12 | re=re+q*p; |
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| 13 | p=jet(p*s,k); |
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| 14 | } |
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| 15 | return(re); |
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| 16 | } |
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| 17 | |
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| 18 | proc Weierstrass(poly f,poly g,int k) |
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| 19 | { |
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| 20 | int i; |
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| 21 | int n=nvars(basering); |
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| 22 | poly p=f; |
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| 23 | for(i=1;i<=n-1;i++) |
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| 24 | { |
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| 25 | p=subst(p,var(i),0); |
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| 26 | } |
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| 27 | if(p==0) |
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| 28 | { |
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| 29 | "the polynomial is not regular"; |
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| 30 | return(0); |
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| 31 | } |
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| 32 | int m=ord(p); |
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| 33 | poly hf=f/var(n)^m; |
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| 34 | poly rf=f-var(n)^m*hf; |
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| 35 | poly invhf=invers(f/var(n)^m,k); |
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| 36 | poly w=-invhf*rf; |
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| 37 | poly u=g/var(n)^m; |
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| 38 | poly v=u; |
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| 39 | poly H=jet((w*u)/var(n)^m,k); |
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| 40 | while(H!=0) |
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| 41 | { |
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| 42 | v=v+H; |
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| 43 | H=jet((w*H)/var(n)^m,k); |
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| 44 | } |
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| 45 | poly q=v*invhf; |
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| 46 | return(q); |
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| 47 | } |
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| 48 | |
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| 49 | ring R=0,(x,y),ds; |
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| 50 | poly f=y4+xy+x2y6+x7; |
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| 51 | poly g=y4; |
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| 52 | poly q=Weierstrass(f,g,10); |
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| 53 | poly w=jet(q*f,10); |
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| 54 | ring S=(0,x),y,ds; |
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| 55 | poly w=imap(R,w); |
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| 56 | w; |
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| 57 | |
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| 58 | setring R; |
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| 59 | q=Weierstrass(f,g,15); |
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| 60 | w=jet(q*f,15); |
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| 61 | setring S; |
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| 62 | w=imap(R,w); |
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| 63 | w; |
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| 64 | |
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| 65 | |
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| 66 | tst_status(1);$ |
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