1 | #ifndef GRING_SA_MULT_H |
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2 | #define GRING_SA_MULT_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 | |
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7 | #ifdef HAVE_PLURAL |
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8 | |
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9 | #include "misc/options.h" |
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10 | #include "polys/monomials/ring.h" |
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11 | #include "polys/nc/summator.h"// for CPolynomialSummator class |
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12 | #include "reporter/reporter.h" // for Print! |
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13 | #include "polys/monomials/p_polys.h" |
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14 | #include "polys/operations/p_Mult_q.h" |
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15 | |
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16 | #include "polys/nc/ncSAFormula.h" // for CFormulaPowerMultiplier and enum Enum_ncSAType |
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17 | |
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18 | // //////////////////////////////////////////////////////////////////////// // |
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19 | // |
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20 | |
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21 | BOOLEAN ncInitSpecialPairMultiplication(ring r); |
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22 | |
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23 | |
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24 | template <typename CExponent> |
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25 | class CMultiplier |
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26 | { |
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27 | protected: |
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28 | const ring m_basering; |
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29 | const int m_NVars; // N = number of variables |
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30 | |
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31 | public: |
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32 | CMultiplier(ring rBaseRing): m_basering(rBaseRing), m_NVars(rBaseRing->N) {}; |
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33 | virtual ~CMultiplier() {}; |
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34 | |
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35 | inline ring GetBasering() const { return m_basering; }; |
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36 | inline int NVars() const { return m_NVars; } |
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37 | |
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38 | |
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39 | inline poly LM(const poly pTerm, const ring r, int i = 1) const |
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40 | { |
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41 | poly pMonom = p_LmInit(pTerm, r); |
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42 | pSetCoeff0(pMonom, n_Init(i, r->cf)); |
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43 | return pMonom; |
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44 | } |
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45 | |
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46 | // Term * Exponent -> Monom * Exponent |
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47 | inline poly MultiplyTE(const poly pTerm, const CExponent expRight) |
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48 | { |
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49 | const ring r = GetBasering(); |
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50 | poly pMonom = LM(pTerm, r); |
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51 | |
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52 | poly result = p_Mult_nn(MultiplyME(pMonom, expRight), p_GetCoeff(pTerm, r), r); |
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53 | |
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54 | p_Delete(&pMonom, r); |
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55 | |
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56 | return result; |
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57 | } |
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58 | |
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59 | |
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60 | // Exponent * Term -> Exponent * Monom |
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61 | inline poly MultiplyET(const CExponent expLeft, const poly pTerm) |
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62 | { |
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63 | const ring r = GetBasering(); |
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64 | poly pMonom = LM(pTerm, r); |
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65 | |
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66 | poly result = p_Mult_nn(MultiplyEM(expLeft, pMonom), p_GetCoeff(pTerm, r), r); |
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67 | |
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68 | p_Delete(&pMonom, r); |
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69 | return result; |
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70 | |
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71 | |
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72 | } |
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73 | |
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74 | // protected: |
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75 | |
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76 | // Exponent * Exponent |
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77 | virtual poly MultiplyEE(const CExponent expLeft, const CExponent expRight) = 0; |
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78 | |
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79 | // Monom * Exponent |
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80 | virtual poly MultiplyME(const poly pMonom, const CExponent expRight) = 0; |
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81 | |
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82 | // Exponent * Monom |
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83 | virtual poly MultiplyEM(const CExponent expLeft, const poly pMonom) = 0; |
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84 | |
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85 | private: // no copy constuctors! |
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86 | CMultiplier(); |
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87 | CMultiplier(const CMultiplier&); |
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88 | CMultiplier& operator=(const CMultiplier&); |
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89 | |
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90 | }; |
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91 | |
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92 | |
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93 | class CSpecialPairMultiplier: public CMultiplier<int> |
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94 | { |
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95 | private: |
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96 | int m_i; // 2-gen subalgebra in these variables... |
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97 | int m_j; |
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98 | |
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99 | // poly m_c_ij; |
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100 | // poly m_d_ij; |
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101 | |
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102 | |
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103 | public: |
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104 | // 1 <= i < j <= NVars() |
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105 | CSpecialPairMultiplier(ring r, int i, int j); |
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106 | virtual ~CSpecialPairMultiplier(); |
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107 | |
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108 | inline int GetI() const { return m_i; } // X |
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109 | inline int GetJ() const { return m_j; } // Y > X! |
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110 | |
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111 | // protected: |
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112 | typedef int CExponent; |
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113 | |
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114 | // Exponent * Exponent |
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115 | // Computes: var(j)^{expLeft} * var(i)^{expRight} |
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116 | virtual poly MultiplyEE(const CExponent expLeft, const CExponent expRight) = 0; |
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117 | |
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118 | // Monom * Exponent |
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119 | // pMonom must be of the form: var(j)^{n} |
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120 | virtual poly MultiplyME(const poly pMonom, const CExponent expRight); |
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121 | |
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122 | // Exponent * Monom |
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123 | // pMonom must be of the form: var(i)^{m} |
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124 | virtual poly MultiplyEM(const CExponent expLeft, const poly pMonom); |
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125 | |
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126 | }; |
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127 | |
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128 | |
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129 | |
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130 | |
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131 | |
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132 | struct CPower // represents var(iVar)^{iPower} |
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133 | { |
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134 | int Var; |
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135 | int Power; |
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136 | |
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137 | CPower(int i, int n): Var(i), Power(n) {}; |
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138 | |
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139 | /* |
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140 | inline poly GetPoly(const ring r) const // TODO: search for GetPoly(r, 1) and remove "1"! |
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141 | { |
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142 | poly p = p_One(r); |
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143 | p_SetExp(p, Var, Power, r); |
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144 | p_Setm(p, r); |
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145 | return p; |
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146 | }; |
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147 | inline poly GetPoly(const ring r, int c) const |
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148 | { |
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149 | poly p = p_ISet(c, r); |
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150 | p_SetExp(p, Var, Power, r); |
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151 | p_Setm(p, r); |
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152 | return p; |
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153 | }; |
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154 | */ |
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155 | |
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156 | }; |
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157 | |
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158 | |
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159 | |
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160 | |
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161 | |
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162 | |
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163 | class CPowerMultiplier: public CMultiplier<CPower> |
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164 | { |
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165 | private: |
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166 | CSpecialPairMultiplier** m_specialpairs; // upper triangular submatrix of pairs 1 <= i < j <= N of a N x N matrix. |
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167 | |
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168 | |
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169 | public: |
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170 | CPowerMultiplier(ring r); |
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171 | virtual ~CPowerMultiplier(); |
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172 | |
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173 | inline CSpecialPairMultiplier* GetPair(int i, int j) const |
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174 | { |
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175 | assume( m_specialpairs != NULL ); |
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176 | assume( i > 0 ); |
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177 | assume( i < j ); |
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178 | assume( j <= NVars() ); |
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179 | |
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180 | return m_specialpairs[( (NVars() * ((i)-1) - ((i) * ((i)-1))/2 + (j)-1) - (i) )]; |
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181 | } |
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182 | |
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183 | inline CSpecialPairMultiplier*& GetPair(int i, int j) |
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184 | { |
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185 | assume( m_specialpairs != NULL ); |
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186 | assume( i > 0 ); |
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187 | assume( i < j ); |
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188 | assume( j <= NVars() ); |
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189 | |
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190 | return m_specialpairs[( (NVars() * ((i)-1) - ((i) * ((i)-1))/2 + (j)-1) - (i) )]; |
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191 | } |
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192 | |
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193 | // protected: |
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194 | typedef CPower CExponent; |
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195 | |
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196 | // Exponent * Exponent |
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197 | // Computes: var(j)^{expLeft} * var(i)^{expRight} |
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198 | virtual poly MultiplyEE(const CExponent expLeft, const CExponent expRight); |
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199 | |
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200 | // Monom * Exponent |
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201 | // pMonom may NOT be of the form: var(j)^{n}! |
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202 | virtual poly MultiplyME(const poly pMonom, const CExponent expRight); |
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203 | |
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204 | // Exponent * Monom |
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205 | // pMonom may NOT be of the form: var(i)^{m}! |
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206 | virtual poly MultiplyEM(const CExponent expLeft, const poly pMonom); |
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207 | |
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208 | // Main templates: |
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209 | |
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210 | // Poly * Exponent |
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211 | inline poly MultiplyPE(const poly pPoly, const CExponent expRight) |
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212 | { |
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213 | bool bUsePolynomial = TEST_OPT_NOT_BUCKETS || (pLength(pPoly) < MIN_LENGTH_BUCKET); |
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214 | CPolynomialSummator sum(GetBasering(), bUsePolynomial); |
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215 | |
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216 | for( poly q = pPoly; q !=NULL; q = pNext(q) ) |
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217 | sum += MultiplyTE(q, expRight); |
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218 | |
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219 | return sum; |
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220 | } |
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221 | |
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222 | // Exponent * Poly |
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223 | inline poly MultiplyEP(const CExponent expLeft, const poly pPoly) |
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224 | { |
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225 | bool bUsePolynomial = TEST_OPT_NOT_BUCKETS || (pLength(pPoly) < MIN_LENGTH_BUCKET); |
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226 | CPolynomialSummator sum(GetBasering(), bUsePolynomial); |
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227 | |
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228 | for( poly q = pPoly; q !=NULL; q = pNext(q) ) |
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229 | sum += MultiplyET(expLeft, q); |
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230 | |
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231 | return sum; |
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232 | } |
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233 | |
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234 | // Poly * Exponent |
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235 | inline poly MultiplyPEDestroy(poly pPoly, const CExponent expRight) |
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236 | { |
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237 | bool bUsePolynomial = TEST_OPT_NOT_BUCKETS || (pLength(pPoly) < MIN_LENGTH_BUCKET); |
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238 | CPolynomialSummator sum(GetBasering(), bUsePolynomial); |
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239 | |
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240 | for( ; pPoly!=NULL; pPoly = p_LmDeleteAndNext(pPoly, GetBasering()) ) |
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241 | sum += MultiplyTE(pPoly, expRight); |
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242 | |
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243 | return sum; |
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244 | } |
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245 | |
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246 | // Exponent * Poly |
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247 | inline poly MultiplyEPDestroy(const CExponent expLeft, poly pPoly) |
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248 | { |
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249 | bool bUsePolynomial = TEST_OPT_NOT_BUCKETS || (pLength(pPoly) < MIN_LENGTH_BUCKET); |
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250 | CPolynomialSummator sum(GetBasering(), bUsePolynomial); |
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251 | |
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252 | for( ; pPoly!=NULL; pPoly = p_LmDeleteAndNext(pPoly, GetBasering()) ) |
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253 | sum += MultiplyET(expLeft, pPoly); |
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254 | |
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255 | return sum; |
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256 | } |
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257 | |
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258 | |
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259 | }; |
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260 | |
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261 | |
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262 | |
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263 | class CGlobalMultiplier: public CMultiplier<poly> |
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264 | { |
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265 | private: |
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266 | // CGlobalCacheHash* m_cache; |
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267 | CPowerMultiplier* m_powers; |
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268 | const CFormulaPowerMultiplier* m_RingFormulaMultiplier; |
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269 | |
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270 | public: |
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271 | typedef CMultiplier<poly> CBaseType; |
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272 | |
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273 | CGlobalMultiplier(ring r); |
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274 | virtual ~CGlobalMultiplier(); |
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275 | |
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276 | |
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277 | // protected: |
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278 | typedef poly CExponent; |
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279 | |
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280 | // the following methods are literally equal! |
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281 | |
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282 | // Exponent * Exponent |
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283 | // TODO: handle components!!! |
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284 | virtual poly MultiplyEE(const CExponent expLeft, const CExponent expRight); |
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285 | |
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286 | // Monom * Exponent |
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287 | virtual poly MultiplyME(const poly pMonom, const CExponent expRight); |
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288 | |
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289 | // Exponent * Monom |
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290 | virtual poly MultiplyEM(const CExponent expLeft, const poly pMonom); |
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291 | |
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292 | |
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293 | // Main templates: |
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294 | |
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295 | // Poly * Exponent |
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296 | inline poly MultiplyPE(const poly pPoly, const CExponent expRight) |
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297 | { |
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298 | assume( pPoly != NULL ); assume( expRight != NULL ); |
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299 | const int iComponentMonom = p_GetComp(expRight, GetBasering()); |
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300 | |
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301 | bool bUsePolynomial = TEST_OPT_NOT_BUCKETS || (pLength(pPoly) < MIN_LENGTH_BUCKET); |
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302 | CPolynomialSummator sum(GetBasering(), bUsePolynomial); |
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303 | |
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304 | |
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305 | if( iComponentMonom!=0 ) |
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306 | { |
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307 | for( poly q = pPoly; q !=NULL; q = pNext(q) ) |
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308 | { |
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309 | #ifdef PDEBUG |
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310 | { |
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311 | const int iComponent = p_GetComp(q, GetBasering()); |
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312 | assume(iComponent == 0); |
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313 | if( iComponent!=0 ) |
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314 | { |
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315 | Werror("MultiplyPE: both sides have non-zero components: %d and %d!\n", iComponent, iComponentMonom); |
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316 | // what should we do further?!? |
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317 | return NULL; |
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318 | } |
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319 | |
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320 | } |
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321 | #endif |
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322 | sum += MultiplyTE(q, expRight); // NO Component!!! |
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323 | } |
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324 | poly t = sum; p_SetCompP(t, iComponentMonom, GetBasering()); |
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325 | return t; |
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326 | } // iComponentMonom != 0! |
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327 | else |
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328 | { // iComponentMonom == 0! |
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329 | for( poly q = pPoly; q !=NULL; q = pNext(q) ) |
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330 | { |
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331 | const int iComponent = p_GetComp(q, GetBasering()); |
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332 | |
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333 | #ifdef PDEBUG |
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334 | if( iComponent!=0 ) |
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335 | { |
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336 | Warn("MultiplyPE: Multiplication in the left module from the right by component %d!\n", iComponent); |
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337 | // what should we do further?!? |
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338 | } |
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339 | #endif |
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340 | poly t = MultiplyTE(q, expRight); // NO Component!!! |
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341 | p_SetCompP(t, iComponent, GetBasering()); |
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342 | sum += t; |
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343 | } |
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344 | return sum; |
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345 | } // iComponentMonom == 0! |
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346 | } |
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347 | |
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348 | // Exponent * Poly |
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349 | inline poly MultiplyEP(const CExponent expLeft, const poly pPoly) |
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350 | { |
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351 | assume( pPoly != NULL ); assume( expLeft != NULL ); |
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352 | const int iComponentMonom = p_GetComp(expLeft, GetBasering()); |
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353 | |
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354 | bool bUsePolynomial = TEST_OPT_NOT_BUCKETS || (pLength(pPoly) < MIN_LENGTH_BUCKET); |
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355 | CPolynomialSummator sum(GetBasering(), bUsePolynomial); |
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356 | |
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357 | if( iComponentMonom!=0 ) |
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358 | { |
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359 | for( poly q = pPoly; q !=NULL; q = pNext(q) ) |
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360 | { |
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361 | #ifdef PDEBUG |
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362 | { |
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363 | const int iComponent = p_GetComp(q, GetBasering()); |
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364 | assume(iComponent == 0); |
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365 | if( iComponent!=0 ) |
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366 | { |
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367 | Werror("MultiplyEP: both sides have non-zero components: %d and %d!\n", iComponent, iComponentMonom); |
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368 | // what should we do further?!? |
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369 | return NULL; |
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370 | } |
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371 | } |
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372 | #endif |
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373 | sum += MultiplyET(expLeft, q); |
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374 | } |
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375 | poly t = sum; p_SetCompP(t, iComponentMonom, GetBasering()); |
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376 | return t; |
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377 | } // iComponentMonom != 0! |
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378 | else |
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379 | { // iComponentMonom == 0! |
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380 | for( poly q = pPoly; q !=NULL; q = pNext(q) ) |
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381 | { |
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382 | const int iComponent = p_GetComp(q, GetBasering()); |
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383 | |
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384 | poly t = MultiplyET(expLeft, q); // NO Component!!! |
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385 | p_SetCompP(t, iComponent, GetBasering()); |
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386 | sum += t; |
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387 | } |
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388 | return sum; |
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389 | } // iComponentMonom == 0! |
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390 | } |
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391 | |
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392 | // Poly * Exponent |
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393 | inline poly MultiplyPEDestroy(poly pPoly, const CExponent expRight) |
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394 | { |
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395 | assume( pPoly != NULL ); assume( expRight != NULL ); |
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396 | const int iComponentMonom = p_GetComp(expRight, GetBasering()); |
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397 | |
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398 | bool bUsePolynomial = TEST_OPT_NOT_BUCKETS || (pLength(pPoly) < MIN_LENGTH_BUCKET); |
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399 | CPolynomialSummator sum(GetBasering(), bUsePolynomial); |
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400 | |
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401 | |
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402 | if( iComponentMonom!=0 ) |
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403 | { |
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404 | for(poly q = pPoly ; q!=NULL; q = p_LmDeleteAndNext(q, GetBasering()) ) |
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405 | { |
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406 | #ifdef PDEBUG |
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407 | { |
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408 | const int iComponent = p_GetComp(q, GetBasering()); |
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409 | assume(iComponent == 0); |
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410 | if( iComponent!=0 ) |
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411 | { |
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412 | Werror("MultiplyPEDestroy: both sides have non-zero components: %d and %d!\n", iComponent, iComponentMonom); |
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413 | // what should we do further?!? |
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414 | return NULL; |
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415 | } |
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416 | |
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417 | } |
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418 | #endif |
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419 | sum += MultiplyTE(q, expRight); // NO Component!!! |
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420 | } |
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421 | poly t = sum; p_SetCompP(t, iComponentMonom, GetBasering()); |
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422 | return t; |
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423 | } // iComponentMonom != 0! |
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424 | else |
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425 | { // iComponentMonom == 0! |
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426 | for(poly q = pPoly ; q!=NULL; q = p_LmDeleteAndNext(q, GetBasering()) ) |
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427 | { |
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428 | const int iComponent = p_GetComp(q, GetBasering()); |
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429 | |
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430 | #ifdef PDEBUG |
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431 | if( iComponent!=0 ) |
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432 | { |
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433 | Warn("MultiplyPEDestroy: Multiplication in the left module from the right by component %d!\n", iComponent); |
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434 | // what should we do further?!? |
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435 | } |
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436 | #endif |
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437 | poly t = MultiplyTE(q, expRight); // NO Component!!! |
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438 | p_SetCompP(t, iComponent, GetBasering()); |
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439 | sum += t; |
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440 | } |
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441 | return sum; |
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442 | } // iComponentMonom == 0! |
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443 | |
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444 | } |
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445 | |
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446 | // Exponent * Poly |
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447 | inline poly MultiplyEPDestroy(const CExponent expLeft, poly pPoly) |
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448 | { |
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449 | |
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450 | assume( pPoly != NULL ); assume( expLeft != NULL ); |
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451 | const int iComponentMonom = p_GetComp(expLeft, GetBasering()); |
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452 | |
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453 | bool bUsePolynomial = TEST_OPT_NOT_BUCKETS || (pLength(pPoly) < MIN_LENGTH_BUCKET); |
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454 | CPolynomialSummator sum(GetBasering(), bUsePolynomial); |
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455 | |
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456 | if( iComponentMonom!=0 ) |
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457 | { |
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458 | for(poly q = pPoly ; q!=NULL; q = p_LmDeleteAndNext(q, GetBasering()) ) |
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459 | { |
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460 | #ifdef PDEBUG |
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461 | { |
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462 | const int iComponent = p_GetComp(q, GetBasering()); |
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463 | assume(iComponent == 0); |
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464 | if( iComponent!=0 ) |
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465 | { |
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466 | Werror("MultiplyEPDestroy: both sides have non-zero components: %d and %d!\n", iComponent, iComponentMonom); |
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467 | // what should we do further?!? |
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468 | return NULL; |
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469 | } |
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470 | } |
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471 | #endif |
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472 | sum += MultiplyET(expLeft, q); |
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473 | } |
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474 | poly t = sum; p_SetCompP(t, iComponentMonom, GetBasering()); |
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475 | return t; |
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476 | } // iComponentMonom != 0! |
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477 | else |
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478 | { // iComponentMonom == 0! |
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479 | for(poly q = pPoly ; q!=NULL; q = p_LmDeleteAndNext(q, GetBasering()) ) |
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480 | { |
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481 | const int iComponent = p_GetComp(q, GetBasering()); |
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482 | |
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483 | poly t = MultiplyET(expLeft, q); // NO Component!!! |
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484 | p_SetCompP(t, iComponent, GetBasering()); |
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485 | sum += t; |
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486 | } |
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487 | return sum; |
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488 | } // iComponentMonom == 0! |
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489 | |
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490 | } |
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491 | |
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492 | |
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493 | |
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494 | |
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495 | }; |
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496 | |
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497 | |
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498 | |
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499 | ////////////////////////////////////////////////////////////////////////// |
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500 | class CCommutativeSpecialPairMultiplier: public CSpecialPairMultiplier |
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501 | { |
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502 | public: |
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503 | CCommutativeSpecialPairMultiplier(ring r, int i, int j); |
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504 | virtual ~CCommutativeSpecialPairMultiplier(); |
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505 | |
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506 | // Exponent * Exponent |
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507 | virtual poly MultiplyEE(const int expLeft, const int expRight); |
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508 | }; |
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509 | |
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510 | ////////////////////////////////////////////////////////////////////////// |
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511 | class CAntiCommutativeSpecialPairMultiplier: public CSpecialPairMultiplier |
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512 | { |
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513 | public: |
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514 | CAntiCommutativeSpecialPairMultiplier(ring r, int i, int j); |
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515 | virtual ~CAntiCommutativeSpecialPairMultiplier(); |
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516 | |
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517 | // Exponent * Exponent |
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518 | virtual poly MultiplyEE(const int expLeft, const int expRight); |
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519 | }; |
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520 | |
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521 | |
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522 | ////////////////////////////////////////////////////////////////////////// |
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523 | class CQuasiCommutativeSpecialPairMultiplier: public CSpecialPairMultiplier |
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524 | { |
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525 | private: |
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526 | const number m_q; |
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527 | // TODO: make cache for some 'good' powers!? |
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528 | |
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529 | public: |
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530 | CQuasiCommutativeSpecialPairMultiplier(ring r, int i, int j, number q); |
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531 | virtual ~CQuasiCommutativeSpecialPairMultiplier(); |
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532 | |
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533 | // Exponent * Exponent |
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534 | virtual poly MultiplyEE(const int expLeft, const int expRight); |
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535 | }; |
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536 | |
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537 | |
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538 | ////////////////////////////////////////////////////////////////////////// |
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539 | class CWeylSpecialPairMultiplier: public CSpecialPairMultiplier |
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540 | { |
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541 | private: |
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542 | const number m_g; |
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543 | // TODO: make cache for some 'good' powers!? |
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544 | |
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545 | public: |
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546 | CWeylSpecialPairMultiplier(ring r, int i, int j, number g); |
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547 | virtual ~CWeylSpecialPairMultiplier(); |
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548 | |
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549 | // Exponent * Exponent |
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550 | virtual poly MultiplyEE(const int expLeft, const int expRight); |
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551 | }; |
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552 | |
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553 | ////////////////////////////////////////////////////////////////////////// |
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554 | class CHWeylSpecialPairMultiplier: public CSpecialPairMultiplier |
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555 | { |
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556 | private: |
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557 | const int m_k; |
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558 | // TODO: make cache for some 'good' powers!? |
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559 | |
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560 | public: |
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561 | CHWeylSpecialPairMultiplier(ring r, int i, int j, int k); |
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562 | virtual ~CHWeylSpecialPairMultiplier(); |
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563 | |
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564 | // Exponent * Exponent |
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565 | virtual poly MultiplyEE(const int expLeft, const int expRight); |
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566 | }; |
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567 | |
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568 | |
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569 | ////////////////////////////////////////////////////////////////////////// |
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570 | class CShiftSpecialPairMultiplier: public CSpecialPairMultiplier |
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571 | { |
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572 | private: |
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573 | const number m_shiftCoef; |
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574 | const int m_shiftVar; |
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575 | // TODO: make cache for some 'good' powers!? |
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576 | |
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577 | public: |
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578 | CShiftSpecialPairMultiplier(ring r, int i, int j, int s, number c); |
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579 | virtual ~CShiftSpecialPairMultiplier(); |
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580 | |
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581 | // Exponent * Exponent |
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582 | virtual poly MultiplyEE(const int expLeft, const int expRight); |
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583 | }; |
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584 | |
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585 | |
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586 | |
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587 | // need: enum Enum_ncSAType; |
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588 | |
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589 | ////////////////////////////////////////////////////////////////////////// |
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590 | // Using external 'formula' routins |
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591 | class CExternalSpecialPairMultiplier: public CSpecialPairMultiplier |
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592 | { |
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593 | private: |
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594 | Enum_ncSAType m_ncSAtype; |
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595 | public: |
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596 | CExternalSpecialPairMultiplier(ring r, int i, int j, Enum_ncSAType type); |
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597 | virtual ~CExternalSpecialPairMultiplier(); |
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598 | |
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599 | // Exponent * Exponent |
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600 | virtual poly MultiplyEE(const int expLeft, const int expRight); |
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601 | }; |
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602 | |
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603 | |
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604 | #endif // HAVE_PLURAL :( |
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605 | #endif // |
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