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: procedures to compute with units |
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6 | */ |
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7 | |
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8 | #ifdef HAVE_CONFIG_H |
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9 | #include "singularconfig.h" |
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10 | #endif /* HAVE_CONFIG_H */ |
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11 | #include <kernel/mod2.h> |
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12 | #include <kernel/structs.h> |
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13 | #include <kernel/febase.h> |
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14 | #include <coeffs/numbers.h> |
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15 | #include <kernel/polys.h> |
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16 | #include <kernel/ideals.h> |
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17 | #include <misc/intvec.h> |
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18 | #include <polys/matpol.h> |
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19 | #include <kernel/kstd1.h> |
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20 | #include <kernel/units.h> |
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21 | |
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22 | ideal redNF(ideal N,ideal M,matrix U,int d,intvec *w) |
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23 | { |
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24 | matrix U0=NULL; |
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25 | if(U!=NULL) |
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26 | { |
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27 | U0=mp_Copy(U,currRing); |
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28 | number u0; |
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29 | for(int i=IDELEMS(M)-1;i>=0;i--) |
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30 | { |
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31 | u0=nInvers(pGetCoeff(MATELEM(U0,i+1,i+1))); |
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32 | MATELEM(U0,i+1,i+1)=pMult_nn(MATELEM(U0,i+1,i+1),u0); |
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33 | M->m[i]=pMult_nn(M->m[i],u0); |
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34 | } |
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35 | } |
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36 | ideal M0=idInit(IDELEMS(M),M->rank); |
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37 | ideal M1=kNF(N,currQuotient,M,0,KSTD_NF_ECART); |
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38 | while(idElem(M1)>0&&(d==-1||id_MinDegW(M1,w,currRing)<=d)) |
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39 | { |
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40 | for(int i=IDELEMS(M)-1;i>=0;i--) |
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41 | { |
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42 | M0->m[i]=pAdd(M0->m[i],pHead(pCopy(M1->m[i]))); |
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43 | if(U0!=NULL) |
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44 | M->m[i]=pSub(M->m[i],pMult(pHead(pCopy(M1->m[i])), |
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45 | pCopy(MATELEM(U0,i+1,i+1)))); |
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46 | else |
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47 | M->m[i]=pSub(M->m[i],pHead(pCopy(M1->m[i]))); |
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48 | } |
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49 | idDelete(&M1); |
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50 | M1=kNF(N,currQuotient,M,0,KSTD_NF_ECART); |
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51 | } |
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52 | idDelete(&M1); |
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53 | idDelete(&N); |
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54 | idDelete(&M); |
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55 | if(U0!=NULL) |
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56 | idDelete((ideal*)&U0); |
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57 | return M0; |
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58 | } |
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59 | |
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60 | poly redNF(ideal N,poly p,poly u,int d,intvec *w) |
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61 | { |
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62 | ideal M=idInit(1,pGetComp(p)); |
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63 | M->m[0]=p; |
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64 | ideal M0; |
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65 | if(u==NULL) |
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66 | M0=redNF(N,M,NULL,d,w); |
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67 | else |
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68 | { |
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69 | matrix U=mpNew(1,1); |
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70 | MATELEM(U,1,1)=u; |
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71 | M0=redNF(N,M,U,d,w); |
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72 | idDelete((ideal*)&U); |
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73 | } |
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74 | poly p0=M0->m[0]; |
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75 | M0->m[0]=NULL; |
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76 | idDelete(&M0); |
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77 | return p0; |
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78 | } |
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79 | |
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