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 | |
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6 | |
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7 | #include "kernel/mod2.h" |
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8 | #include "polys/monomials/ring.h" |
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9 | |
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10 | #include "kernel/digitech.h" |
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11 | #include "polys/kbuckets.h" |
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12 | #include "kernel/ideals.h" |
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13 | STATIC_INST_VAR ideal zero_ideal; |
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14 | |
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15 | void bit_reduce(poly & f,ring r) |
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16 | { |
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17 | poly p=f; |
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18 | kBucket_pt erg_bucket= kBucketCreate(r); |
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19 | kBucketInit(erg_bucket,NULL,0 /*pLength(P.p)*/); |
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20 | while(p) |
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21 | { |
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22 | poly next=pNext(p); |
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23 | pNext(p)=NULL; |
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24 | |
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25 | int i; |
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26 | int max=rVar(r); |
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27 | for(i=1;i<=max;i++) |
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28 | { |
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29 | unsigned long exp=p_GetExp(p,i,r); |
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30 | if(exp!=0) |
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31 | p_SetExp(p,i,1,r); |
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32 | |
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33 | } |
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34 | p_Setm(p,r); |
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35 | int pseudo_len=0; |
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36 | kBucket_Add_q(erg_bucket,p,&pseudo_len); |
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37 | p=next; |
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38 | } |
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39 | |
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40 | int len=0; |
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41 | poly erg; |
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42 | kBucketClear(erg_bucket,&erg, &len); |
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43 | kBucketDestroy(&erg_bucket); |
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44 | f=erg; |
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45 | } |
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46 | |
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47 | poly uni_subst_bits(poly outer_uni, poly inner_multi, ring r) |
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48 | { |
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49 | zero_ideal=idInit(0,1); |
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50 | //assumes outer_uni is univariate and ordering global |
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51 | int d_max=p_GetExp(outer_uni,1,r); |
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52 | poly* potences=(poly*) omAlloc((d_max+1)*sizeof(poly)); |
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53 | potences[0]=p_ISet(1,r); |
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54 | int i; |
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55 | for(i=1;i<=d_max;i++) |
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56 | { |
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57 | potences[i]=pp_Mult_qq(potences[i-1],inner_multi,r); |
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58 | bit_reduce(potences[i],r); |
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59 | } |
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60 | |
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61 | poly p=outer_uni; |
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62 | kBucket_pt erg_bucket= kBucketCreate(r); |
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63 | kBucketInit(erg_bucket,NULL,0 /*pLength(P.p)*/); |
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64 | |
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65 | |
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66 | while(p) |
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67 | { |
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68 | int d=p_GetExp(p,1,r); |
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69 | assume(potences[d]!=NULL); //mustn't always hold, but for most input |
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70 | int pseudo_len=0; |
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71 | kBucket_Add_q(erg_bucket,p_Mult_nn(potences[d],p_GetCoeff(p,r),r),&pseudo_len); |
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72 | potences[d]=NULL; |
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73 | p=pNext(p); |
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74 | } |
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75 | |
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76 | //free potences |
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77 | for(i=0;i<=d_max;i++) |
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78 | { |
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79 | p_Delete(&potences[i],r); |
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80 | } |
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81 | omfree(potences); |
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82 | int len=0; |
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83 | poly erg; |
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84 | kBucketClear(erg_bucket,&erg, &len); |
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85 | kBucketDestroy(&erg_bucket); |
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86 | return(erg); |
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87 | } |
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