[6d07e3] | 1 | /***************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | *****************************************/ |
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| 4 | /* |
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| 5 | * ABSTRACT: Gauss-Manin system normal form |
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| 6 | */ |
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| 7 | |
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[9f7665] | 8 | |
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| 9 | |
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| 10 | |
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[b1dfaf] | 11 | #include <kernel/mod2.h> |
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[6d07e3] | 12 | |
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| 13 | #ifdef HAVE_GMS |
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| 14 | |
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[4dbeb1] | 15 | #include "gms.h" |
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| 16 | |
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[0fb34ba] | 17 | #include <coeffs/numbers.h> |
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[737a68] | 18 | #include <kernel/polys.h> |
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[4676d5] | 19 | #include <Singular/febase.h> |
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[6d07e3] | 20 | |
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[4dbeb1] | 21 | #include "ipid.h" |
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[a7c2db] | 22 | |
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[5ca9807] | 23 | lists gmsNF(ideal p,ideal g,matrix B,int D,int K) |
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[6d07e3] | 24 | { |
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| 25 | ideal r=idInit(IDELEMS(p),1); |
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| 26 | ideal q=idInit(IDELEMS(p),1); |
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| 27 | |
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[a7c2db] | 28 | matrix B0=mpNew(MATROWS(B),MATCOLS(B)); |
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| 29 | for(int i=1;i<=MATROWS(B0);i++) |
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[4dbeb1] | 30 | for(int j=1;j<=MATCOLS(B0);j++) |
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[a7c2db] | 31 | if(MATELEM(B,i,j)!=NULL) |
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| 32 | MATELEM(B0,i,j)=pDiff(MATELEM(B,i,j),i+1); |
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[6d07e3] | 33 | |
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[a7c2db] | 34 | for(int k=0;k<IDELEMS(p);k++) |
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[6d07e3] | 35 | { |
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| 36 | while(p->m[k]!=NULL&&pGetExp(p->m[k],1)<=K) |
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| 37 | { |
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[a7c2db] | 38 | int j=0; |
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[6d07e3] | 39 | while(j<IDELEMS(g)&&!pLmDivisibleBy(g->m[j],p->m[k])) |
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| 40 | j++; |
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| 41 | |
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| 42 | if(j<IDELEMS(g)) |
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| 43 | { |
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[a7c2db] | 44 | poly m=pDivideM(pHead(p->m[k]),pHead(g->m[j])); |
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| 45 | p->m[k]=pSub(p->m[k],ppMult_mm(g->m[j],m)); |
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| 46 | pIncrExp(m,1); |
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| 47 | pSetm(m); |
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| 48 | for(int i=0;i<MATROWS(B);i++) |
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| 49 | { |
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| 50 | poly m0=pDiff(m,i+2); |
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| 51 | if(MATELEM(B0,i+1,j+1)!=NULL) |
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| 52 | p->m[k]=pAdd(p->m[k],ppMult_mm(MATELEM(B0,i+1,j+1),m)); |
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| 53 | if(MATELEM(B,i+1,j+1)!=NULL&&m0!=NULL) |
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| 54 | p->m[k]=pAdd(p->m[k],ppMult_mm(MATELEM(B,i+1,j+1),m0)); |
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| 55 | pDelete(&m0); |
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| 56 | } |
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| 57 | pDelete(&m); |
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[6d07e3] | 58 | } |
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| 59 | else |
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| 60 | { |
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[a7c2db] | 61 | poly p0=p->m[k]; |
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| 62 | pIter(p->m[k]); |
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| 63 | pNext(p0)=NULL; |
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| 64 | r->m[k]=pAdd(r->m[k],p0); |
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[6d07e3] | 65 | } |
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| 66 | |
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[a7c2db] | 67 | while(p->m[k]!=NULL&&pGetExp(p->m[k],1)<=K&&pWTotaldegree(p->m[k])>D) |
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[6d07e3] | 68 | { |
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[a7c2db] | 69 | int i=pGetExp(p->m[k],1); |
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| 70 | do |
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| 71 | { |
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| 72 | poly p0=p->m[k]; |
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| 73 | pIter(p->m[k]); |
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| 74 | pNext(p0)=NULL; |
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| 75 | q->m[k]=pAdd(q->m[k],p0); |
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| 76 | }while(p->m[k]!=NULL&&pGetExp(p->m[k],1)==i); |
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[6d07e3] | 77 | } |
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[a7c2db] | 78 | |
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| 79 | pNormalize(p->m[k]); |
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[6d07e3] | 80 | } |
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| 81 | |
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[a7c2db] | 82 | q->m[k]=pAdd(q->m[k],p->m[k]); |
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| 83 | p->m[k]=NULL; |
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[6d07e3] | 84 | } |
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[a7c2db] | 85 | idDelete(&p); |
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| 86 | idDelete((ideal *)&B0); |
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| 87 | |
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[4dbeb1] | 88 | id_Normalize(r, currRing); |
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| 89 | id_Normalize(q, currRing); |
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[a7c2db] | 90 | |
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| 91 | lists l=(lists)omAllocBin(slists_bin); |
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| 92 | l->Init(2); |
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| 93 | |
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| 94 | l->m[0].rtyp=IDEAL_CMD; |
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| 95 | l->m[0].data=r; |
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| 96 | l->m[1].rtyp=IDEAL_CMD; |
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| 97 | l->m[1].data=q; |
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[6d07e3] | 98 | |
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| 99 | return l; |
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| 100 | } |
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| 101 | |
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[a7c2db] | 102 | |
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[5ca9807] | 103 | BOOLEAN gmsNF(leftv res,leftv h) |
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[6d07e3] | 104 | { |
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| 105 | if(currRingHdl) |
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| 106 | { |
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| 107 | if(h&&h->Typ()==IDEAL_CMD) |
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| 108 | { |
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| 109 | ideal p=(ideal)h->Data(); |
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| 110 | h=h->next; |
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| 111 | if(h&&h->Typ()==IDEAL_CMD) |
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| 112 | { |
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| 113 | ideal g=(ideal)h->Data(); |
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| 114 | h=h->next; |
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| 115 | if(h&&h->Typ()==MATRIX_CMD) |
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| 116 | { |
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| 117 | matrix B=(matrix)h->Data(); |
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| 118 | h=h->next; |
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| 119 | if(h&&h->Typ()==INT_CMD) |
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| 120 | { |
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[6caadfb] | 121 | int D=(int)(long)h->Data(); |
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[6d07e3] | 122 | h=h->next; |
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| 123 | if(h&&h->Typ()==INT_CMD) |
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| 124 | { |
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[6caadfb] | 125 | int K=(int)(long)h->Data(); |
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[6d07e3] | 126 | res->rtyp=LIST_CMD; |
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[a7c2db] | 127 | res->data=(void *)gmsNF(idCopy(p),g,B,D,K); |
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[6d07e3] | 128 | return FALSE; |
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| 129 | } |
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| 130 | } |
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| 131 | } |
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| 132 | } |
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| 133 | } |
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| 134 | WerrorS("<ideal>,<ideal>,<matrix>,<int>,<int> expected"); |
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| 135 | return TRUE; |
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| 136 | } |
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| 137 | WerrorS("no ring active"); |
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| 138 | return TRUE; |
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| 139 | } |
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| 140 | |
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| 141 | #endif /* HAVE_GMS */ |
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[398ad5] | 142 | |
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