1 | #include <kernel/polys.h> |
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2 | #include <libpolys/polys/monomials/p_polys.h> |
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3 | #include <singularWishlist.h> |
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4 | |
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5 | #include <Singular/ipid.h> |
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6 | |
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7 | /*** |
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8 | * changes a polynomial g with the help p-t such that |
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9 | * 1) each term of g has a distinct monomial in x |
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10 | * 2) no term of g has a coefficient divisible by p |
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11 | * in particular, this means that all g_\alpha can be obtained |
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12 | * by reading the coefficients and that g is initially reduced |
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13 | * with respect to p-t |
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14 | **/ |
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15 | static bool pReduce(poly g, const number p) |
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16 | { |
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17 | poly toBeChecked = pNext(g); |
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18 | pNext(g) = NULL; poly gEnd = g; |
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19 | poly gCache; |
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20 | |
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21 | number coeff, pPower; int power; poly subst; |
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22 | while(toBeChecked) |
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23 | { |
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24 | for (gCache = g; gCache; pIter(gCache)) |
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25 | if (p_LeadmonomDivisibleBy(gCache,toBeChecked,currRing)) break; |
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26 | if (gCache) |
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27 | { |
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28 | n_Power(p,p_GetExp(toBeChecked,1,currRing)-p_GetExp(gCache,1,currRing),&pPower,currRing->cf); |
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29 | coeff = n_Mult(p_GetCoeff(toBeChecked,currRing),pPower,currRing->cf); |
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30 | p_SetCoeff(gCache,n_Add(p_GetCoeff(gCache,currRing),coeff,currRing->cf),currRing); |
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31 | n_Delete(&pPower,currRing->cf); n_Delete(&coeff,currRing->cf); |
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32 | toBeChecked=p_LmDeleteAndNext(toBeChecked,currRing); |
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33 | } |
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34 | else |
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35 | { |
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36 | if (n_DivBy(p_GetCoeff(toBeChecked,currRing),p,currRing->cf)) |
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37 | { |
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38 | coeff=n_Div(p_GetCoeff(toBeChecked,currRing),p,currRing->cf); |
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39 | power=1; |
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40 | while (n_DivBy(coeff,p,currRing->cf)) |
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41 | { |
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42 | coeff=n_Div(p_GetCoeff(pNext(g),currRing),p,currRing->cf); |
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43 | power++; |
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44 | if (power<1) |
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45 | { |
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46 | WerrorS("pReduce: overflow in exponent"); |
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47 | return true; |
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48 | } |
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49 | } |
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50 | subst=p_LmInit(toBeChecked,currRing); |
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51 | p_AddExp(subst,1,power,currRing); |
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52 | p_SetCoeff(subst,coeff,currRing); |
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53 | p_Setm(subst,currRing); pTest(subst); |
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54 | toBeChecked=p_LmDeleteAndNext(toBeChecked,currRing); |
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55 | toBeChecked=p_Add_q(toBeChecked,subst,currRing); |
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56 | pTest(toBeChecked); |
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57 | } |
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58 | else |
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59 | { |
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60 | pNext(gEnd)=toBeChecked; |
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61 | pIter(gEnd); pIter(toBeChecked); |
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62 | pNext(gEnd)=NULL; |
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63 | } |
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64 | } |
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65 | } |
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66 | return false; |
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67 | } |
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68 | |
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69 | #ifndef NDEBUG |
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70 | BOOLEAN pReduce(leftv res, leftv args) |
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71 | { |
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72 | leftv u = args; |
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73 | if ((u != NULL) && (u->Typ() == POLY_CMD)) |
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74 | { |
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75 | poly g; number p = n_Init(3,currRing->cf); |
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76 | omUpdateInfo(); |
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77 | Print("usedBytesBefore=%ld\n",om_Info.UsedBytes); |
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78 | g = (poly) u->CopyD(); |
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79 | pReduce(g,p); |
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80 | p_Delete(&g,currRing); |
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81 | omUpdateInfo(); |
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82 | Print("usedBytesAfter=%ld\n",om_Info.UsedBytes); |
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83 | g = (poly) u->CopyD(); |
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84 | pReduce(g,p); |
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85 | n_Delete(&p,currRing->cf); |
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86 | res->rtyp = POLY_CMD; |
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87 | res->data = (char*) g; |
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88 | return FALSE; |
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89 | } |
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90 | return TRUE; |
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91 | } |
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92 | #endif //NDEBUG |
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93 | |
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94 | |
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95 | |
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