[a7fbdd] | 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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[341696] | 6 | /* $Id$ */ |
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[a7fbdd] | 7 | #ifdef HAVE_PLURAL |
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| 8 | |
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| 9 | // #include <ncSAFormula.h> // for CFormulaPowerMultiplier and enum Enum_ncSAType |
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| 10 | |
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| 11 | // //////////////////////////////////////////////////////////////////////// // |
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| 12 | |
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| 13 | #include <structs.h> |
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[835d83] | 14 | #include <ring.h> |
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[a7fbdd] | 15 | |
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| 16 | bool ncInitSpecialPowersMultiplication(ring r); |
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| 17 | |
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| 18 | enum Enum_ncSAType |
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| 19 | { |
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| 20 | _ncSA_notImplemented = -1, |
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| 21 | _ncSA_1xy0x0y0 = 0, // commutative |
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| 22 | _ncSA_Mxy0x0y0 = 1, // anti-commutative |
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| 23 | _ncSA_Qxy0x0y0 = 2, // quasi-commutative |
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| 24 | _ncSA_1xyAx0y0 = 10, // shift 1 |
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| 25 | _ncSA_1xy0xBy0 = 20, // shift 2 |
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| 26 | _ncSA_1xy0x0yG = 30 // Weyl |
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| 27 | }; |
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| 28 | |
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| 29 | |
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| 30 | inline CFormulaPowerMultiplier* GetFormulaPowerMultiplier(const ring r = currRing) |
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| 31 | { |
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| 32 | return r->GetNC()->GetFormulaPowerMultiplier(); |
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| 33 | } |
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| 34 | |
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| 35 | class CFormulaPowerMultiplier |
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| 36 | { |
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| 37 | private: |
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| 38 | Enum_ncSAType* m_SAPairTypes; // upper triangular submatrix of pairs 1 <= i < j <= N of a N x N matrix. |
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| 39 | |
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| 40 | const int m_NVars; |
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| 41 | const ring m_BaseRing; |
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| 42 | |
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| 43 | |
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| 44 | |
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| 45 | public: |
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| 46 | inline const int NVars() const { return m_NVars; } |
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| 47 | inline const ring GetBasering() const { return m_BaseRing; } |
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| 48 | |
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| 49 | CFormulaPowerMultiplier(ring r); |
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| 50 | virtual ~CFormulaPowerMultiplier(); |
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| 51 | |
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| 52 | inline Enum_ncSAType GetPair(int i, int j) const |
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| 53 | { |
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| 54 | assume( m_SAPairTypes != NULL ); |
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| 55 | assume( i > 0 ); |
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| 56 | assume( i < j ); |
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| 57 | assume( j <= NVars() ); |
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| 58 | |
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| 59 | return m_SAPairTypes[( (NVars() * ((i)-1) - ((i) * ((i)-1))/2 + (j)-1) - (i) )]; |
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| 60 | } |
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| 61 | |
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| 62 | inline Enum_ncSAType& GetPair(int i, int j) |
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| 63 | { |
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| 64 | assume( m_SAPairTypes != NULL ); |
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| 65 | assume( i > 0 ); |
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| 66 | assume( i < j ); |
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| 67 | assume( j <= NVars() ); |
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| 68 | |
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| 69 | return m_SAPairTypes[( (NVars() * ((i)-1) - ((i) * ((i)-1))/2 + (j)-1) - (i) )]; |
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| 70 | } |
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| 71 | |
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| 72 | // Lowest level routines! |
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| 73 | static Enum_ncSAType AnalyzePair(const ring r, int i, int j); |
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| 74 | 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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| 75 | |
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| 76 | static poly ncSA_1xy0x0y0(const int i, const int j, const int n, const int m, const ring r); |
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| 77 | static poly ncSA_Mxy0x0y0(const int i, const int j, const int n, const int m, const ring r); |
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| 78 | |
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| 79 | 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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| 80 | |
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| 81 | 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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| 82 | |
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| 83 | 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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| 84 | 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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| 85 | |
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| 86 | |
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| 87 | |
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| 88 | // Higher level abstraction for keeping track of all the pair types! |
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| 89 | poly Multiply( int i, int j, const int n, const int m); |
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| 90 | |
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| 91 | private: // no copy constuctors! |
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| 92 | CFormulaPowerMultiplier(); |
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| 93 | CFormulaPowerMultiplier(const CFormulaPowerMultiplier&); |
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| 94 | CFormulaPowerMultiplier& operator=(const CFormulaPowerMultiplier&); |
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| 95 | |
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| 96 | |
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| 97 | }; |
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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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