1 | /***************************************** |
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2 | * Computer Algebra System SINGULAR * |
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3 | *****************************************/ |
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4 | /* $Id: units.cc,v 1.10 2001-08-27 14:47:44 Singular Exp $ */ |
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5 | /* |
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6 | * ABSTRACT: procedures to compute with units |
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7 | */ |
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8 | |
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9 | #include "mod2.h" |
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10 | #include "tok.h" |
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11 | #include "febase.h" |
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12 | #include "ipid.h" |
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13 | #include "numbers.h" |
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14 | #include "polys.h" |
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15 | #include "ideals.h" |
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16 | #include "intvec.h" |
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17 | #include "matpol.h" |
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18 | #include "kstd1.h" |
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19 | #include "units.h" |
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20 | |
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21 | ideal redNF(ideal N,ideal M,matrix U,int d,intvec *w) |
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22 | { |
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23 | matrix U0=NULL; |
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24 | if(U!=NULL) |
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25 | { |
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26 | U0=mpCopy(U); |
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27 | number u0; |
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28 | for(int i=IDELEMS(M)-1;i>=0;i--) |
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29 | { |
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30 | u0=nInvers(pGetCoeff(MATELEM(U0,i+1,i+1))); |
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31 | MATELEM(U0,i+1,i+1)=pMult_nn(MATELEM(U0,i+1,i+1),u0); |
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32 | M->m[i]=pMult_nn(M->m[i],u0); |
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33 | } |
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34 | } |
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35 | ideal M0=idInit(IDELEMS(M),M->rank); |
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36 | ideal M1=kNF(N,currQuotient,M); |
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37 | while(idElem(M1)>0&&(d==-1||idMinDeg(M1,w)<=d)) |
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38 | { |
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39 | for(int i=IDELEMS(M)-1;i>=0;i--) |
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40 | { |
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41 | M0->m[i]=pAdd(M0->m[i],pHead(pCopy(M1->m[i]))); |
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42 | if(U0!=NULL) |
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43 | M->m[i]=pSub(M->m[i],pMult(pHead(pCopy(M1->m[i])), |
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44 | pCopy(MATELEM(U0,i+1,i+1)))); |
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45 | else |
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46 | M->m[i]=pSub(M->m[i],pHead(pCopy(M1->m[i]))); |
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47 | } |
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48 | idDelete(&M1); |
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49 | M1=kNF(N,currQuotient,M); |
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50 | } |
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51 | idDelete(&M1); |
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52 | idDelete(&N); |
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53 | idDelete(&M); |
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54 | if(U0!=NULL) |
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55 | idDelete((ideal*)&U0); |
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56 | return M0; |
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57 | } |
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58 | |
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59 | poly redNF(ideal N,poly p,poly u,int d,intvec *w) |
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60 | { |
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61 | ideal M=idInit(1,pGetComp(p)); |
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62 | M->m[0]=p; |
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63 | ideal M0; |
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64 | if(u==NULL) |
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65 | M0=redNF(N,M,NULL,d,w); |
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66 | else |
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67 | { |
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68 | matrix U=mpNew(1,1); |
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69 | MATELEM(U,1,1)=u; |
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70 | M0=redNF(N,M,U,d,w); |
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71 | idDelete((ideal*)&U); |
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72 | } |
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73 | poly p0=M0->m[0]; |
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74 | M0->m[0]=NULL; |
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75 | idDelete(&M0); |
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76 | return p0; |
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77 | } |
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78 | |
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