1 | #ifndef GRING_SA_MULT_FORMULA_H |
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2 | #define GRING_SA_MULT_FORMULA_H |
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3 | /***************************************** |
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4 | * Computer Algebra System SINGULAR * |
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5 | *****************************************/ |
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6 | #ifdef HAVE_PLURAL |
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7 | |
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8 | // #include <ncSAFormula.h> // for CFormulaPowerMultiplier and enum Enum_ncSAType |
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9 | |
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10 | // //////////////////////////////////////////////////////////////////////// // |
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11 | |
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12 | #include <polys/monomials/ring.h> |
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13 | #include <polys/nc/nc.h> |
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14 | |
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15 | bool ncInitSpecialPowersMultiplication(ring r); |
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16 | |
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17 | enum Enum_ncSAType |
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18 | { |
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19 | _ncSA_notImplemented = -1, |
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20 | _ncSA_1xy0x0y0 = 0x00, // commutative |
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21 | _ncSA_Mxy0x0y0 = 0x01, // anti-commutative |
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22 | _ncSA_Qxy0x0y0 = 0x02, // quasi-commutative |
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23 | _ncSA_1xyAx0y0 = 0x10, // shift 1 |
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24 | _ncSA_1xy0xBy0 = 0x20, // shift 2 |
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25 | _ncSA_1xy0x0yG = 0x30, // Weyl |
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26 | _ncSA_1xy0x0yT2 = 0x100 // homogenized Weyl algebra? |
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27 | }; |
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28 | |
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29 | class CFormulaPowerMultiplier |
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30 | { |
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31 | private: |
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32 | Enum_ncSAType* m_SAPairTypes; // upper triangular submatrix of pairs 1 <= i < j <= N of a N x N matrix. |
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33 | |
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34 | const int m_NVars; |
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35 | const ring m_BaseRing; |
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36 | |
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37 | |
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38 | |
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39 | public: |
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40 | inline const int NVars() const { return m_NVars; } |
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41 | inline const ring GetBasering() const { return m_BaseRing; } |
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42 | |
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43 | CFormulaPowerMultiplier(ring r); |
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44 | virtual ~CFormulaPowerMultiplier(); |
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45 | |
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46 | inline Enum_ncSAType GetPair(int i, int j) const |
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47 | { |
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48 | assume( m_SAPairTypes != NULL ); |
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49 | assume( i > 0 ); |
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50 | assume( i < j ); |
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51 | assume( j <= NVars() ); |
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52 | |
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53 | return m_SAPairTypes[( (NVars() * ((i)-1) - ((i) * ((i)-1))/2 + (j)-1) - (i) )]; |
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54 | } |
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55 | |
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56 | inline Enum_ncSAType& GetPair(int i, int j) |
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57 | { |
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58 | assume( m_SAPairTypes != NULL ); |
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59 | assume( i > 0 ); |
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60 | assume( i < j ); |
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61 | assume( j <= NVars() ); |
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62 | |
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63 | return m_SAPairTypes[( (NVars() * ((i)-1) - ((i) * ((i)-1))/2 + (j)-1) - (i) )]; |
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64 | } |
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65 | |
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66 | // Lowest level routines! |
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67 | static Enum_ncSAType AnalyzePair(const ring r, int i, int j); |
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68 | static poly Multiply( Enum_ncSAType type, const int i, const int j, const int n, const int m, const ring r); |
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69 | |
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70 | static poly ncSA_1xy0x0y0(const int i, const int j, const int n, const int m, const ring r); |
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71 | static poly ncSA_Mxy0x0y0(const int i, const int j, const int n, const int m, const ring r); |
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72 | |
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73 | static poly ncSA_Qxy0x0y0(const int i, const int j, const int n, const int m, const number m_q, const ring r); |
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74 | |
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75 | static poly ncSA_1xy0x0yG(const int i, const int j, const int n, const int m, const number m_g, const ring r); |
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76 | static poly ncSA_1xy0x0yT2(const int i, const int j, const int n, const int m, const int k, const ring r); |
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77 | |
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78 | static poly ncSA_1xyAx0y0(const int i, const int j, const int n, const int m, const number m_shiftCoef, const ring r); |
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79 | static poly ncSA_1xy0xBy0(const int i, const int j, const int n, const int m, const number m_shiftCoef, const ring r); |
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80 | |
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81 | |
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82 | |
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83 | // Higher level abstraction for keeping track of all the pair types! |
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84 | poly Multiply( int i, int j, const int n, const int m); |
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85 | |
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86 | private: // no copy constuctors! |
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87 | CFormulaPowerMultiplier(); |
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88 | CFormulaPowerMultiplier(const CFormulaPowerMultiplier&); |
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89 | CFormulaPowerMultiplier& operator=(const CFormulaPowerMultiplier&); |
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90 | |
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91 | |
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92 | }; |
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93 | |
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94 | |
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95 | static inline CFormulaPowerMultiplier* GetFormulaPowerMultiplier(const ring r) |
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96 | { |
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97 | return r->GetNC()->GetFormulaPowerMultiplier(); |
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98 | } |
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99 | |
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100 | |
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101 | |
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102 | |
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103 | #endif // HAVE_PLURAL :( |
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104 | #endif // |
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