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 | * ABSTRACT - Routines for Spoly creation and reductions |
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6 | */ |
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7 | |
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8 | // #define PDEBUG 2 |
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9 | |
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10 | |
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11 | |
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12 | #include "kernel/mod2.h" |
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13 | #include "misc/options.h" |
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14 | #include "kernel/GBEngine/kutil.h" |
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15 | #include "coeffs/numbers.h" |
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16 | #include "polys/monomials/p_polys.h" |
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17 | #include "polys/templates/p_Procs.h" |
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18 | #include "polys/nc/nc.h" |
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19 | #ifdef HAVE_RINGS |
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20 | #include "kernel/polys.h" |
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21 | #endif |
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22 | #ifdef HAVE_SHIFTBBA |
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23 | #include "kernel/GBEngine/shiftgb.h" |
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24 | #include "polys/shiftop.h" |
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25 | #endif |
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26 | |
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27 | #ifdef KDEBUG |
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28 | int red_count = 0; |
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29 | int create_count = 0; |
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30 | // define this if reductions are reported on TEST_OPT_DEBUG |
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31 | #define TEST_OPT_DEBUG_RED |
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32 | #endif |
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33 | |
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34 | /*************************************************************** |
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35 | * |
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36 | * Reduces PR with PW |
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37 | * Assumes PR != NULL, PW != NULL, Lm(PW) divides Lm(PR) |
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38 | * |
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39 | * returns 0: okay |
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40 | * 1: tailRing changed |
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41 | * -1: cannot change tailRing |
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42 | * 2: cannot change tailRing: strat==NULL |
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43 | * |
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44 | ***************************************************************/ |
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45 | int ksReducePolyZ(LObject* PR, |
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46 | TObject* PW, |
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47 | poly spNoether, |
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48 | number *coef, |
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49 | kStrategy strat) |
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50 | { |
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51 | #ifdef KDEBUG |
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52 | red_count++; |
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53 | #ifdef TEST_OPT_DEBUG_RED |
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54 | // if (TEST_OPT_DEBUG) |
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55 | // { |
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56 | // Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
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57 | // PW->wrp(); |
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58 | // //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
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59 | // //pWrite(PR->p); |
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60 | // } |
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61 | #endif |
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62 | #endif |
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63 | int ret = 0; |
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64 | ring tailRing = PR->tailRing; |
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65 | kTest_L(PR,tailRing); |
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66 | kTest_T(PW); |
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67 | |
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68 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
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69 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
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70 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
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71 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
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72 | p_CheckPolyRing(p1, tailRing); |
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73 | p_CheckPolyRing(p2, tailRing); |
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74 | |
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75 | pAssume1(p2 != NULL && p1 != NULL && |
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76 | p_DivisibleBy(p2, p1, tailRing)); |
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77 | |
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78 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
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79 | (p_GetComp(p2, tailRing) == 0 && |
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80 | p_MaxComp(pNext(p2),tailRing) == 0)); |
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81 | |
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82 | #ifdef HAVE_PLURAL |
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83 | if (rIsPluralRing(currRing)) |
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84 | { |
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85 | // for the time being: we know currRing==strat->tailRing |
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86 | // no exp-bound checking needed |
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87 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
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88 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
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89 | else |
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90 | { |
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91 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
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92 | assume(_p != NULL); |
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93 | nc_PolyPolyRed(_p, p2,coef, currRing); |
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94 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
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95 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
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96 | } |
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97 | return 0; |
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98 | } |
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99 | #endif |
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100 | |
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101 | if (t2==NULL) // Divisor is just one term, therefore it will |
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102 | { // just cancel the leading term |
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103 | // adjust lead coefficient if needed |
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104 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
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105 | { |
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106 | number bn = pGetCoeff(lm); |
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107 | number an = pGetCoeff(p2); |
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108 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
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109 | p_SetCoeff(lm, bn, tailRing); |
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110 | if ((ct == 0) || (ct == 2)) |
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111 | PR->Tail_Mult_nn(an); |
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112 | if (coef != NULL) *coef = an; |
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113 | else n_Delete(&an, tailRing->cf); |
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114 | } |
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115 | PR->LmDeleteAndIter(); |
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116 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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117 | return 0; |
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118 | } |
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119 | |
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120 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
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121 | |
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122 | //if (tailRing != currRing) |
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123 | { |
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124 | // check that reduction does not violate exp bound |
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125 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
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126 | { |
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127 | // undo changes of lm |
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128 | p_ExpVectorAdd(lm, p2, tailRing); |
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129 | if (strat == NULL) return 2; |
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130 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
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131 | tailRing = strat->tailRing; |
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132 | p1 = PR->GetLmTailRing(); |
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133 | p2 = PW->GetLmTailRing(); |
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134 | t2 = pNext(p2); |
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135 | lm = p1; |
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136 | p_ExpVectorSub(lm, p2, tailRing); |
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137 | ret = 1; |
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138 | } |
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139 | } |
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140 | |
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141 | #ifdef HAVE_SHIFTBBA |
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142 | poly lmRight; |
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143 | if (tailRing->isLPring) { |
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144 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
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145 | } |
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146 | #endif |
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147 | |
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148 | // take care of coef buisness |
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149 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
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150 | { |
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151 | number bn = pGetCoeff(lm); |
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152 | number an = pGetCoeff(p2); |
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153 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
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154 | p_SetCoeff(lm, bn, tailRing); |
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155 | #ifdef HAVE_SHIFTBBA |
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156 | if (tailRing->isLPring) pSetCoeff0(p1, bn); // lm doesn't point to p1 anymore, if the coef was a pointer, it has been deleted |
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157 | #endif |
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158 | if ((ct == 0) || (ct == 2)) |
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159 | PR->Tail_Mult_nn(an); |
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160 | if (coef != NULL) *coef = an; |
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161 | else n_Delete(&an, tailRing->cf); |
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162 | } |
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163 | else |
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164 | { |
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165 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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166 | } |
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167 | |
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168 | |
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169 | // and finally, |
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170 | #ifdef HAVE_SHIFTBBA |
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171 | if (tailRing->isLPring) |
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172 | { |
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173 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
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174 | } |
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175 | else |
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176 | #endif |
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177 | { |
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178 | PR->Tail_Minus_mm_Mult_qq(lm, t2, pLength(t2) /*PW->GetpLength() - 1*/, spNoether); |
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179 | } |
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180 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
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181 | PR->LmDeleteAndIter(); |
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182 | |
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183 | return ret; |
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184 | } |
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185 | |
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186 | int ksReducePoly(LObject* PR, |
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187 | TObject* PW, |
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188 | poly spNoether, |
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189 | number *coef, |
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190 | kStrategy strat) |
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191 | { |
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192 | #ifdef KDEBUG |
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193 | red_count++; |
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194 | #ifdef TEST_OPT_DEBUG_RED |
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195 | // if (TEST_OPT_DEBUG) |
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196 | // { |
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197 | // Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
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198 | // PW->wrp(); |
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199 | // //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
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200 | // //pWrite(PR->p); |
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201 | // } |
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202 | #endif |
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203 | #endif |
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204 | int ret = 0; |
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205 | ring tailRing = PR->tailRing; |
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206 | kTest_L(PR,tailRing); |
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207 | kTest_T(PW); |
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208 | |
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209 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
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210 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
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211 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
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212 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
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213 | p_CheckPolyRing(p1, tailRing); |
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214 | p_CheckPolyRing(p2, tailRing); |
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215 | |
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216 | pAssume1(p2 != NULL && p1 != NULL && |
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217 | p_DivisibleBy(p2, p1, tailRing)); |
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218 | |
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219 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
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220 | (p_GetComp(p2, tailRing) == 0 && |
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221 | p_MaxComp(pNext(p2),tailRing) == 0)); |
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222 | |
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223 | #ifdef HAVE_PLURAL |
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224 | if (rIsPluralRing(currRing)) |
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225 | { |
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226 | // for the time being: we know currRing==strat->tailRing |
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227 | // no exp-bound checking needed |
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228 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
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229 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
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230 | else |
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231 | { |
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232 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
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233 | assume(_p != NULL); |
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234 | nc_PolyPolyRed(_p, p2,coef, currRing); |
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235 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
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236 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
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237 | } |
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238 | return 0; |
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239 | } |
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240 | #endif |
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241 | |
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242 | if (t2==NULL) // Divisor is just one term, therefore it will |
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243 | { // just cancel the leading term |
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244 | PR->LmDeleteAndIter(); |
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245 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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246 | return 0; |
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247 | } |
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248 | |
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249 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
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250 | |
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251 | //if (tailRing != currRing) |
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252 | { |
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253 | // check that reduction does not violate exp bound |
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254 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
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255 | { |
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256 | // undo changes of lm |
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257 | p_ExpVectorAdd(lm, p2, tailRing); |
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258 | if (strat == NULL) return 2; |
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259 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
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260 | tailRing = strat->tailRing; |
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261 | p1 = PR->GetLmTailRing(); |
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262 | p2 = PW->GetLmTailRing(); |
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263 | t2 = pNext(p2); |
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264 | lm = p1; |
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265 | p_ExpVectorSub(lm, p2, tailRing); |
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266 | ret = 1; |
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267 | } |
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268 | } |
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269 | |
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270 | #ifdef HAVE_SHIFTBBA |
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271 | poly lmRight; |
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272 | if (tailRing->isLPring) |
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273 | { |
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274 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
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275 | } |
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276 | #endif |
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277 | |
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278 | // take care of coef buisness |
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279 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
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280 | { |
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281 | number bn = pGetCoeff(lm); |
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282 | number an = pGetCoeff(p2); |
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283 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
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284 | p_SetCoeff(lm, bn, tailRing); |
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285 | #ifdef HAVE_SHIFTBBA |
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286 | if (tailRing->isLPring) pSetCoeff0(p1, bn); // lm doesn't point to p1 anymore, if the coef was a pointer, it has been deleted |
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287 | #endif |
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288 | if ((ct == 0) || (ct == 2)) |
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289 | PR->Tail_Mult_nn(an); |
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290 | if (coef != NULL) *coef = an; |
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291 | else n_Delete(&an, tailRing->cf); |
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292 | } |
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293 | else |
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294 | { |
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295 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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296 | } |
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297 | |
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298 | |
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299 | // and finally, |
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300 | #ifdef HAVE_SHIFTBBA |
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301 | if (tailRing->isLPring) |
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302 | { |
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303 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
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304 | } |
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305 | else |
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306 | #endif |
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307 | { |
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308 | PR->Tail_Minus_mm_Mult_qq(lm, t2, pLength(t2) /*PW->GetpLength() - 1*/, spNoether); |
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309 | } |
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310 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
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311 | PR->LmDeleteAndIter(); |
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312 | |
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313 | return ret; |
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314 | } |
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315 | |
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316 | int ksReducePolyGCD(LObject* PR, |
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317 | TObject* PW, |
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318 | poly spNoether, |
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319 | number *coef, |
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320 | kStrategy strat) |
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321 | { |
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322 | #ifdef KDEBUG |
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323 | red_count++; |
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324 | #ifdef TEST_OPT_DEBUG_RED |
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325 | // if (TEST_OPT_DEBUG) |
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326 | // { |
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327 | // Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
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328 | // PW->wrp(); |
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329 | // //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
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330 | // //pWrite(PR->p); |
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331 | // } |
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332 | #endif |
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333 | #endif |
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334 | int ret = 0; |
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335 | ring tailRing = PR->tailRing; |
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336 | kTest_L(PR, tailRing); |
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337 | kTest_T(PW); |
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338 | |
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339 | poly p1 = PR->GetLmTailRing(); |
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340 | poly p2 = PW->GetLmTailRing(); |
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341 | poly t2 = pNext(p2), lm = pOne(); |
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342 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
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343 | p_CheckPolyRing(p1, tailRing); |
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344 | p_CheckPolyRing(p2, tailRing); |
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345 | |
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346 | pAssume1(p2 != NULL && p1 != NULL && |
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347 | p_DivisibleBy(p2, p1, tailRing)); |
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348 | |
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349 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
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350 | (p_GetComp(p2, tailRing) == 0 && |
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351 | p_MaxComp(pNext(p2),tailRing) == 0)); |
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352 | |
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353 | #ifdef HAVE_PLURAL |
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354 | if (rIsPluralRing(currRing)) |
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355 | { |
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356 | // for the time being: we know currRing==strat->tailRing |
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357 | // no exp-bound checking needed |
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358 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
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359 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
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360 | else |
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361 | { |
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362 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
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363 | assume(_p != NULL); |
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364 | nc_PolyPolyRed(_p, p2,coef, currRing); |
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365 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
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366 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
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367 | } |
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368 | return 0; |
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369 | } |
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370 | #endif |
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371 | // check that reduction does not violate exp bound |
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372 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
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373 | { |
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374 | // undo changes of lm |
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375 | p_ExpVectorAdd(lm, p2, tailRing); |
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376 | if (strat == NULL) return 2; |
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377 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
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378 | tailRing = strat->tailRing; |
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379 | p1 = PR->GetLmTailRing(); |
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380 | p2 = PW->GetLmTailRing(); |
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381 | t2 = pNext(p2); |
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382 | lm = p1; |
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383 | p_ExpVectorSub(lm, p2, tailRing); |
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384 | ret = 1; |
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385 | } |
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386 | |
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387 | number ct, an, bn; |
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388 | // take care of coef buisness |
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389 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
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390 | { |
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391 | ct = n_ExtGcd(pGetCoeff(p1), pGetCoeff(p2), &an, &bn, tailRing->cf); // Calculate GCD |
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392 | /* negate bn since we subtract in Tail_Minus_mm_Mult_qq */ |
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393 | bn = n_InpNeg(bn, tailRing->cf); |
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394 | p_SetCoeff(lm, bn, tailRing); |
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395 | PR->Tail_Mult_nn(an); |
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396 | } |
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397 | else |
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398 | { |
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399 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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400 | } |
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401 | |
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402 | |
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403 | // and finally, |
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404 | PR->Tail_Minus_mm_Mult_qq(lm, t2, pLength(t2) /*PW->GetpLength() - 1*/, spNoether); |
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405 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
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406 | pSetCoeff(PR->p, ct); |
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407 | |
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408 | // the following is commented out: shrinking |
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409 | #ifdef HAVE_SHIFTBBA_NONEXISTENT |
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410 | if ( (currRing->isLPring) && (!strat->homog) ) |
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411 | { |
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412 | // assume? h->p in currRing |
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413 | PR->GetP(); |
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414 | poly qq = p_Shrink(PR->p, currRing->isLPring, currRing); |
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415 | PR->Clear(); // does the right things |
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416 | PR->p = qq; |
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417 | PR->t_p = NULL; |
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418 | PR->SetShortExpVector(); |
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419 | } |
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420 | #endif |
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421 | |
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422 | return ret; |
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423 | } |
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424 | |
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425 | /* Computes a reduction of the lead coefficient only. We have already tested |
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426 | * that lm(PW) divides lm(PR), but lc(PW) does not divide lc(PR). We have |
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427 | * computed division with remainder on the lead coefficients, parameter |
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428 | * coef is the corresponding multiple for PW we need. The new lead |
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429 | * coefficient, i.e. the remainder of lc division has already been |
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430 | * set before calling this function. We do not drop the lead term at |
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431 | * the end, but keep the adjusted, correct lead term. */ |
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432 | int ksReducePolyLC(LObject* PR, |
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433 | TObject* PW, |
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434 | poly spNoether, |
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435 | number *coef, |
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436 | kStrategy strat) |
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437 | { |
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438 | #ifdef KDEBUG |
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439 | red_count++; |
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440 | #ifdef TEST_OPT_DEBUG_RED |
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441 | // if (TEST_OPT_DEBUG) |
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442 | // { |
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443 | // Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
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444 | // PW->wrp(); |
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445 | // //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
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446 | // //pWrite(PR->p); |
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447 | // } |
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448 | #endif |
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449 | #endif |
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450 | /* printf("PR->P: "); |
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451 | * p_Write(PR->p, currRing, PR->tailRing); */ |
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452 | int ret = 0; |
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453 | ring tailRing = PR->tailRing; |
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454 | kTest_L(PR,tailRing); |
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455 | kTest_T(PW); |
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456 | |
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457 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
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458 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
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459 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
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460 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
---|
461 | p_CheckPolyRing(p1, tailRing); |
---|
462 | p_CheckPolyRing(p2, tailRing); |
---|
463 | |
---|
464 | pAssume1(p2 != NULL && p1 != NULL && |
---|
465 | p_DivisibleBy(p2, p1, tailRing)); |
---|
466 | |
---|
467 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
---|
468 | (p_GetComp(p2, tailRing) == 0 && |
---|
469 | p_MaxComp(pNext(p2),tailRing) == 0)); |
---|
470 | |
---|
471 | #ifdef HAVE_PLURAL |
---|
472 | if (rIsPluralRing(currRing)) |
---|
473 | { |
---|
474 | // for the time being: we know currRing==strat->tailRing |
---|
475 | // no exp-bound checking needed |
---|
476 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
---|
477 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
---|
478 | else |
---|
479 | { |
---|
480 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
---|
481 | assume(_p != NULL); |
---|
482 | nc_PolyPolyRed(_p, p2,coef, currRing); |
---|
483 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
---|
484 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
---|
485 | } |
---|
486 | return 0; |
---|
487 | } |
---|
488 | #endif |
---|
489 | |
---|
490 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
---|
491 | p_SetCoeff(lm, n_Init(1, tailRing), tailRing); |
---|
492 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
---|
493 | { |
---|
494 | // undo changes of lm |
---|
495 | p_ExpVectorAdd(lm, p2, tailRing); |
---|
496 | if (strat == NULL) return 2; |
---|
497 | /* if (! kStratChangeTailRing(strat, PR, PW)) return -1; */ |
---|
498 | tailRing = strat->tailRing; |
---|
499 | p1 = PR->GetLmTailRing(); |
---|
500 | p2 = PW->GetLmTailRing(); |
---|
501 | t2 = pNext(p2); |
---|
502 | lm = p1; |
---|
503 | p_ExpVectorSub(lm, p2, tailRing); |
---|
504 | ret = 1; |
---|
505 | } |
---|
506 | |
---|
507 | // and finally, |
---|
508 | PR->Tail_Minus_mm_Mult_qq(lm, p2, pLength(p2) /*PW->GetpLength() - 1*/, spNoether); |
---|
509 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
---|
510 | |
---|
511 | PR->LmDeleteAndIter(); |
---|
512 | p_SetCoeff(PR->p, *coef, currRing); |
---|
513 | |
---|
514 | |
---|
515 | // the following is commented out: shrinking |
---|
516 | #ifdef HAVE_SHIFTBBA_NONEXISTENT |
---|
517 | if ( (currRing->isLPring) && (!strat->homog) ) |
---|
518 | { |
---|
519 | // assume? h->p in currRing |
---|
520 | PR->GetP(); |
---|
521 | poly qq = p_Shrink(PR->p, currRing->isLPring, currRing); |
---|
522 | PR->Clear(); // does the right things |
---|
523 | PR->p = qq; |
---|
524 | PR->t_p = NULL; |
---|
525 | PR->SetShortExpVector(); |
---|
526 | } |
---|
527 | #endif |
---|
528 | |
---|
529 | #if defined(KDEBUG) && defined(TEST_OPT_DEBUG_RED) |
---|
530 | if (TEST_OPT_DEBUG) |
---|
531 | { |
---|
532 | Print(" to: "); PR->wrp(); Print("\n"); |
---|
533 | //printf("\nt^%i ", PR->ecart);pWrite(pHead(PR->p)); |
---|
534 | } |
---|
535 | #endif |
---|
536 | return ret; |
---|
537 | } |
---|
538 | |
---|
539 | int ksReducePolyBound(LObject* PR, |
---|
540 | TObject* PW, |
---|
541 | int bound, |
---|
542 | poly spNoether, |
---|
543 | number *coef, |
---|
544 | kStrategy strat) |
---|
545 | { |
---|
546 | #ifdef KDEBUG |
---|
547 | red_count++; |
---|
548 | #ifdef TEST_OPT_DEBUG_RED |
---|
549 | if (TEST_OPT_DEBUG) |
---|
550 | { |
---|
551 | Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
---|
552 | PW->wrp(); |
---|
553 | //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
---|
554 | //pWrite(PR->p); |
---|
555 | } |
---|
556 | #endif |
---|
557 | #endif |
---|
558 | int ret = 0; |
---|
559 | ring tailRing = PR->tailRing; |
---|
560 | kTest_L(PR,tailRing); |
---|
561 | kTest_T(PW); |
---|
562 | |
---|
563 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
---|
564 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
---|
565 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
---|
566 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
---|
567 | p_CheckPolyRing(p1, tailRing); |
---|
568 | p_CheckPolyRing(p2, tailRing); |
---|
569 | |
---|
570 | pAssume1(p2 != NULL && p1 != NULL && |
---|
571 | p_DivisibleBy(p2, p1, tailRing)); |
---|
572 | |
---|
573 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
---|
574 | (p_GetComp(p2, tailRing) == 0 && |
---|
575 | p_MaxComp(pNext(p2),tailRing) == 0)); |
---|
576 | |
---|
577 | #ifdef HAVE_PLURAL |
---|
578 | if (rIsPluralRing(currRing)) |
---|
579 | { |
---|
580 | // for the time being: we know currRing==strat->tailRing |
---|
581 | // no exp-bound checking needed |
---|
582 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
---|
583 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
---|
584 | else |
---|
585 | { |
---|
586 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
---|
587 | assume(_p != NULL); |
---|
588 | nc_PolyPolyRed(_p, p2,coef, currRing); |
---|
589 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
---|
590 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
---|
591 | } |
---|
592 | return 0; |
---|
593 | } |
---|
594 | #endif |
---|
595 | |
---|
596 | if (t2==NULL) // Divisor is just one term, therefore it will |
---|
597 | { // just cancel the leading term |
---|
598 | PR->LmDeleteAndIter(); |
---|
599 | if (coef != NULL) *coef = n_Init(1, tailRing); |
---|
600 | return 0; |
---|
601 | } |
---|
602 | |
---|
603 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
---|
604 | |
---|
605 | if (tailRing != currRing) |
---|
606 | { |
---|
607 | // check that reduction does not violate exp bound |
---|
608 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
---|
609 | { |
---|
610 | // undo changes of lm |
---|
611 | p_ExpVectorAdd(lm, p2, tailRing); |
---|
612 | if (strat == NULL) return 2; |
---|
613 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
---|
614 | tailRing = strat->tailRing; |
---|
615 | p1 = PR->GetLmTailRing(); |
---|
616 | p2 = PW->GetLmTailRing(); |
---|
617 | t2 = pNext(p2); |
---|
618 | lm = p1; |
---|
619 | p_ExpVectorSub(lm, p2, tailRing); |
---|
620 | ret = 1; |
---|
621 | } |
---|
622 | } |
---|
623 | |
---|
624 | #ifdef HAVE_SHIFTBBA |
---|
625 | poly lmRight; |
---|
626 | if (tailRing->isLPring) { |
---|
627 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
---|
628 | } |
---|
629 | #endif |
---|
630 | |
---|
631 | // take care of coef buisness |
---|
632 | if (! n_IsOne(pGetCoeff(p2), tailRing)) |
---|
633 | { |
---|
634 | number bn = pGetCoeff(lm); |
---|
635 | number an = pGetCoeff(p2); |
---|
636 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
---|
637 | p_SetCoeff(lm, bn, tailRing); |
---|
638 | #ifdef HAVE_SHIFTBBA |
---|
639 | if (tailRing->isLPring) pSetCoeff0(p1, bn); // lm doesn't point to p1 anymore, if the coef was a pointer, it has been deleted |
---|
640 | #endif |
---|
641 | if ((ct == 0) || (ct == 2)) |
---|
642 | PR->Tail_Mult_nn(an); |
---|
643 | if (coef != NULL) *coef = an; |
---|
644 | else n_Delete(&an, tailRing); |
---|
645 | } |
---|
646 | else |
---|
647 | { |
---|
648 | if (coef != NULL) *coef = n_Init(1, tailRing); |
---|
649 | } |
---|
650 | |
---|
651 | |
---|
652 | // and finally, |
---|
653 | #ifdef HAVE_SHIFTBBA |
---|
654 | if (tailRing->isLPring) |
---|
655 | { |
---|
656 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
---|
657 | } |
---|
658 | else |
---|
659 | #endif |
---|
660 | { |
---|
661 | PR->Tail_Minus_mm_Mult_qq(lm, t2, pLength(t2) /*PW->GetpLength() - 1*/, spNoether); |
---|
662 | } |
---|
663 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
---|
664 | PR->LmDeleteAndIter(); |
---|
665 | |
---|
666 | #if defined(KDEBUG) && defined(TEST_OPT_DEBUG_RED) |
---|
667 | if (TEST_OPT_DEBUG) |
---|
668 | { |
---|
669 | Print(" to: "); PR->wrp(); Print("\n"); |
---|
670 | //printf("\nt^%i ", PR->ecart);pWrite(pHead(PR->p)); |
---|
671 | } |
---|
672 | #endif |
---|
673 | return ret; |
---|
674 | } |
---|
675 | |
---|
676 | /*************************************************************** |
---|
677 | * |
---|
678 | * Reduces PR with PW |
---|
679 | * Assumes PR != NULL, PW != NULL, Lm(PW) divides Lm(PR) |
---|
680 | * |
---|
681 | ***************************************************************/ |
---|
682 | |
---|
683 | int ksReducePolySig(LObject* PR, |
---|
684 | TObject* PW, |
---|
685 | long /*idx*/, |
---|
686 | poly spNoether, |
---|
687 | number *coef, |
---|
688 | kStrategy strat) |
---|
689 | { |
---|
690 | #ifdef KDEBUG |
---|
691 | red_count++; |
---|
692 | #ifdef TEST_OPT_DEBUG_RED |
---|
693 | if (TEST_OPT_DEBUG) |
---|
694 | { |
---|
695 | Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
---|
696 | PW->wrp(); |
---|
697 | } |
---|
698 | #endif |
---|
699 | #endif |
---|
700 | int ret = 0; |
---|
701 | ring tailRing = PR->tailRing; |
---|
702 | kTest_L(PR,tailRing); |
---|
703 | kTest_T(PW); |
---|
704 | |
---|
705 | // signature-based stuff: |
---|
706 | // checking for sig-safeness first |
---|
707 | // NOTE: This has to be done in the current ring |
---|
708 | // |
---|
709 | /********************************************** |
---|
710 | * |
---|
711 | * TODO: |
---|
712 | * -------------------------------------------- |
---|
713 | * if strat->sbaOrder == 1 |
---|
714 | * Since we are subdividing lower index and |
---|
715 | * current index reductions it is enough to |
---|
716 | * look at the polynomial part of the signature |
---|
717 | * for a check. This should speed-up checking |
---|
718 | * a lot! |
---|
719 | * if !strat->sbaOrder == 0 |
---|
720 | * We are not subdividing lower and current index |
---|
721 | * due to the fact that we are using the induced |
---|
722 | * Schreyer order |
---|
723 | * |
---|
724 | * nevertheless, this different behaviour is |
---|
725 | * taken care of by is_sigsafe |
---|
726 | * => one reduction procedure can be used for |
---|
727 | * both, the incremental and the non-incremental |
---|
728 | * attempt! |
---|
729 | * -------------------------------------------- |
---|
730 | * |
---|
731 | *********************************************/ |
---|
732 | //printf("COMPARE IDX: %ld -- %ld\n",idx,strat->currIdx); |
---|
733 | if (!PW->is_sigsafe) |
---|
734 | { |
---|
735 | poly sigMult = pCopy(PW->sig); // copy signature of reducer |
---|
736 | //#if 1 |
---|
737 | #ifdef DEBUGF5 |
---|
738 | printf("IN KSREDUCEPOLYSIG: \n"); |
---|
739 | pWrite(pHead(f1)); |
---|
740 | pWrite(pHead(f2)); |
---|
741 | pWrite(sigMult); |
---|
742 | printf("--------------\n"); |
---|
743 | #endif |
---|
744 | p_ExpVectorAddSub(sigMult,PR->GetLmCurrRing(),PW->GetLmCurrRing(),currRing); |
---|
745 | //#if 1 |
---|
746 | #ifdef DEBUGF5 |
---|
747 | printf("------------------- IN KSREDUCEPOLYSIG: --------------------\n"); |
---|
748 | pWrite(pHead(f1)); |
---|
749 | pWrite(pHead(f2)); |
---|
750 | pWrite(sigMult); |
---|
751 | pWrite(PR->sig); |
---|
752 | printf("--------------\n"); |
---|
753 | #endif |
---|
754 | int sigSafe = p_LmCmp(PR->sig,sigMult,currRing); |
---|
755 | // now we can delete the copied polynomial data used for checking for |
---|
756 | // sig-safeness of the reduction step |
---|
757 | //#if 1 |
---|
758 | #ifdef DEBUGF5 |
---|
759 | printf("%d -- %d sig\n",sigSafe,PW->is_sigsafe); |
---|
760 | |
---|
761 | #endif |
---|
762 | //pDelete(&f1); |
---|
763 | pDelete(&sigMult); |
---|
764 | // go on with the computations only if the signature of p2 is greater than the |
---|
765 | // signature of fm*p1 |
---|
766 | if(sigSafe != 1) |
---|
767 | { |
---|
768 | PR->is_redundant = TRUE; |
---|
769 | return 3; |
---|
770 | } |
---|
771 | //PW->is_sigsafe = TRUE; |
---|
772 | } |
---|
773 | PR->is_redundant = FALSE; |
---|
774 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
---|
775 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
---|
776 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
---|
777 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
---|
778 | p_CheckPolyRing(p1, tailRing); |
---|
779 | p_CheckPolyRing(p2, tailRing); |
---|
780 | |
---|
781 | pAssume1(p2 != NULL && p1 != NULL && |
---|
782 | p_DivisibleBy(p2, p1, tailRing)); |
---|
783 | |
---|
784 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
---|
785 | (p_GetComp(p2, tailRing) == 0 && |
---|
786 | p_MaxComp(pNext(p2),tailRing) == 0)); |
---|
787 | |
---|
788 | #ifdef HAVE_PLURAL |
---|
789 | if (rIsPluralRing(currRing)) |
---|
790 | { |
---|
791 | // for the time being: we know currRing==strat->tailRing |
---|
792 | // no exp-bound checking needed |
---|
793 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
---|
794 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
---|
795 | else |
---|
796 | { |
---|
797 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
---|
798 | assume(_p != NULL); |
---|
799 | nc_PolyPolyRed(_p, p2, coef, currRing); |
---|
800 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
---|
801 | PR->pLength=0; // usaully not used, GetpLength re-comoutes it if needed |
---|
802 | } |
---|
803 | return 0; |
---|
804 | } |
---|
805 | #endif |
---|
806 | |
---|
807 | if (t2==NULL) // Divisor is just one term, therefore it will |
---|
808 | { // just cancel the leading term |
---|
809 | PR->LmDeleteAndIter(); |
---|
810 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
811 | return 0; |
---|
812 | } |
---|
813 | |
---|
814 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
---|
815 | |
---|
816 | if (tailRing != currRing) |
---|
817 | { |
---|
818 | // check that reduction does not violate exp bound |
---|
819 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
---|
820 | { |
---|
821 | // undo changes of lm |
---|
822 | p_ExpVectorAdd(lm, p2, tailRing); |
---|
823 | if (strat == NULL) return 2; |
---|
824 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
---|
825 | tailRing = strat->tailRing; |
---|
826 | p1 = PR->GetLmTailRing(); |
---|
827 | p2 = PW->GetLmTailRing(); |
---|
828 | t2 = pNext(p2); |
---|
829 | lm = p1; |
---|
830 | p_ExpVectorSub(lm, p2, tailRing); |
---|
831 | ret = 1; |
---|
832 | } |
---|
833 | } |
---|
834 | |
---|
835 | #ifdef HAVE_SHIFTBBA |
---|
836 | poly lmRight; |
---|
837 | if (tailRing->isLPring) { |
---|
838 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
---|
839 | } |
---|
840 | #endif |
---|
841 | |
---|
842 | // take care of coef buisness |
---|
843 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
---|
844 | { |
---|
845 | number bn = pGetCoeff(lm); |
---|
846 | number an = pGetCoeff(p2); |
---|
847 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
---|
848 | p_SetCoeff(lm, bn, tailRing); |
---|
849 | #ifdef HAVE_SHIFTBBA |
---|
850 | if (tailRing->isLPring) pSetCoeff0(p1, bn); // lm doesn't point to p1 anymore, if the coef was a pointer, it has been deleted |
---|
851 | #endif |
---|
852 | if ((ct == 0) || (ct == 2)) |
---|
853 | PR->Tail_Mult_nn(an); |
---|
854 | if (coef != NULL) *coef = an; |
---|
855 | else n_Delete(&an, tailRing->cf); |
---|
856 | } |
---|
857 | else |
---|
858 | { |
---|
859 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
860 | } |
---|
861 | |
---|
862 | |
---|
863 | // and finally, |
---|
864 | #ifdef HAVE_SHIFTBBA |
---|
865 | if (tailRing->isLPring) |
---|
866 | { |
---|
867 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
---|
868 | } |
---|
869 | else |
---|
870 | #endif |
---|
871 | { |
---|
872 | PR->Tail_Minus_mm_Mult_qq(lm, t2, PW->GetpLength() - 1, spNoether); |
---|
873 | } |
---|
874 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
---|
875 | PR->LmDeleteAndIter(); |
---|
876 | |
---|
877 | #if defined(KDEBUG) && defined(TEST_OPT_DEBUG_RED) |
---|
878 | if (TEST_OPT_DEBUG) |
---|
879 | { |
---|
880 | Print(" to: "); PR->wrp(); Print("\n"); |
---|
881 | } |
---|
882 | #endif |
---|
883 | return ret; |
---|
884 | } |
---|
885 | |
---|
886 | int ksReducePolySigRing(LObject* PR, |
---|
887 | TObject* PW, |
---|
888 | long /*idx*/, |
---|
889 | poly spNoether, |
---|
890 | number *coef, |
---|
891 | kStrategy strat) |
---|
892 | { |
---|
893 | #ifdef KDEBUG |
---|
894 | red_count++; |
---|
895 | #ifdef TEST_OPT_DEBUG_RED |
---|
896 | if (TEST_OPT_DEBUG) |
---|
897 | { |
---|
898 | Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
---|
899 | PW->wrp(); |
---|
900 | } |
---|
901 | #endif |
---|
902 | #endif |
---|
903 | int ret = 0; |
---|
904 | ring tailRing = PR->tailRing; |
---|
905 | kTest_L(PR,tailRing); |
---|
906 | kTest_T(PW); |
---|
907 | |
---|
908 | // signature-based stuff: |
---|
909 | // checking for sig-safeness first |
---|
910 | // NOTE: This has to be done in the current ring |
---|
911 | // |
---|
912 | /********************************************** |
---|
913 | * |
---|
914 | * TODO: |
---|
915 | * -------------------------------------------- |
---|
916 | * if strat->sbaOrder == 1 |
---|
917 | * Since we are subdividing lower index and |
---|
918 | * current index reductions it is enough to |
---|
919 | * look at the polynomial part of the signature |
---|
920 | * for a check. This should speed-up checking |
---|
921 | * a lot! |
---|
922 | * if !strat->sbaOrder == 0 |
---|
923 | * We are not subdividing lower and current index |
---|
924 | * due to the fact that we are using the induced |
---|
925 | * Schreyer order |
---|
926 | * |
---|
927 | * nevertheless, this different behaviour is |
---|
928 | * taken care of by is_sigsafe |
---|
929 | * => one reduction procedure can be used for |
---|
930 | * both, the incremental and the non-incremental |
---|
931 | * attempt! |
---|
932 | * -------------------------------------------- |
---|
933 | * |
---|
934 | *********************************************/ |
---|
935 | //printf("COMPARE IDX: %ld -- %ld\n",idx,strat->currIdx); |
---|
936 | if (!PW->is_sigsafe) |
---|
937 | { |
---|
938 | poly sigMult = pCopy(PW->sig); // copy signature of reducer |
---|
939 | //#if 1 |
---|
940 | #ifdef DEBUGF5 |
---|
941 | printf("IN KSREDUCEPOLYSIG: \n"); |
---|
942 | pWrite(pHead(f1)); |
---|
943 | pWrite(pHead(f2)); |
---|
944 | pWrite(sigMult); |
---|
945 | printf("--------------\n"); |
---|
946 | #endif |
---|
947 | p_ExpVectorAddSub(sigMult,PR->GetLmCurrRing(),PW->GetLmCurrRing(),currRing); |
---|
948 | //I have also to set the leading coeficient for sigMult (in the case of rings) |
---|
949 | if(rField_is_Ring(currRing)) |
---|
950 | { |
---|
951 | pSetCoeff(sigMult,nMult(nDiv(pGetCoeff(PR->p),pGetCoeff(PW->p)), pGetCoeff(sigMult))); |
---|
952 | if(nIsZero(pGetCoeff(sigMult))) |
---|
953 | { |
---|
954 | sigMult = NULL; |
---|
955 | } |
---|
956 | } |
---|
957 | //#if 1 |
---|
958 | #ifdef DEBUGF5 |
---|
959 | printf("------------------- IN KSREDUCEPOLYSIG: --------------------\n"); |
---|
960 | pWrite(pHead(f1)); |
---|
961 | pWrite(pHead(f2)); |
---|
962 | pWrite(sigMult); |
---|
963 | pWrite(PR->sig); |
---|
964 | printf("--------------\n"); |
---|
965 | #endif |
---|
966 | int sigSafe; |
---|
967 | if(!rField_is_Ring(currRing)) |
---|
968 | sigSafe = p_LmCmp(PR->sig,sigMult,currRing); |
---|
969 | // now we can delete the copied polynomial data used for checking for |
---|
970 | // sig-safeness of the reduction step |
---|
971 | //#if 1 |
---|
972 | #ifdef DEBUGF5 |
---|
973 | printf("%d -- %d sig\n",sigSafe,PW->is_sigsafe); |
---|
974 | |
---|
975 | #endif |
---|
976 | if(rField_is_Ring(currRing)) |
---|
977 | { |
---|
978 | // Set the sig |
---|
979 | poly origsig = pCopy(PR->sig); |
---|
980 | if(sigMult != NULL) |
---|
981 | PR->sig = pHead(pSub(PR->sig, sigMult)); |
---|
982 | //The sigs have the same lm, have to substract |
---|
983 | //It may happen that now the signature is 0 (drop) |
---|
984 | if(PR->sig == NULL) |
---|
985 | { |
---|
986 | strat->sigdrop=TRUE; |
---|
987 | } |
---|
988 | else |
---|
989 | { |
---|
990 | if(pLtCmp(PR->sig,origsig) == 1) |
---|
991 | { |
---|
992 | // do not allow this reduction - it will increase it's signature |
---|
993 | // and the partially standard basis is just till the old sig, not the new one |
---|
994 | PR->is_redundant = TRUE; |
---|
995 | pDelete(&PR->sig); |
---|
996 | PR->sig = origsig; |
---|
997 | strat->blockred++; |
---|
998 | return 3; |
---|
999 | } |
---|
1000 | if(pLtCmp(PR->sig,origsig) == -1) |
---|
1001 | { |
---|
1002 | strat->sigdrop=TRUE; |
---|
1003 | } |
---|
1004 | } |
---|
1005 | pDelete(&origsig); |
---|
1006 | } |
---|
1007 | //pDelete(&f1); |
---|
1008 | // go on with the computations only if the signature of p2 is greater than the |
---|
1009 | // signature of fm*p1 |
---|
1010 | if(sigSafe != 1 && !rField_is_Ring(currRing)) |
---|
1011 | { |
---|
1012 | PR->is_redundant = TRUE; |
---|
1013 | return 3; |
---|
1014 | } |
---|
1015 | //PW->is_sigsafe = TRUE; |
---|
1016 | } |
---|
1017 | PR->is_redundant = FALSE; |
---|
1018 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
---|
1019 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
---|
1020 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
---|
1021 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
---|
1022 | p_CheckPolyRing(p1, tailRing); |
---|
1023 | p_CheckPolyRing(p2, tailRing); |
---|
1024 | |
---|
1025 | pAssume1(p2 != NULL && p1 != NULL && |
---|
1026 | p_DivisibleBy(p2, p1, tailRing)); |
---|
1027 | |
---|
1028 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
---|
1029 | (p_GetComp(p2, tailRing) == 0 && |
---|
1030 | p_MaxComp(pNext(p2),tailRing) == 0)); |
---|
1031 | |
---|
1032 | #ifdef HAVE_PLURAL |
---|
1033 | if (rIsPluralRing(currRing)) |
---|
1034 | { |
---|
1035 | // for the time being: we know currRing==strat->tailRing |
---|
1036 | // no exp-bound checking needed |
---|
1037 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
---|
1038 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
---|
1039 | else |
---|
1040 | { |
---|
1041 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
---|
1042 | assume(_p != NULL); |
---|
1043 | nc_PolyPolyRed(_p, p2, coef, currRing); |
---|
1044 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
---|
1045 | PR->pLength=0; // usaully not used, GetpLength re-comoutes it if needed |
---|
1046 | } |
---|
1047 | return 0; |
---|
1048 | } |
---|
1049 | #endif |
---|
1050 | |
---|
1051 | if (t2==NULL) // Divisor is just one term, therefore it will |
---|
1052 | { // just cancel the leading term |
---|
1053 | PR->LmDeleteAndIter(); |
---|
1054 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
1055 | return 0; |
---|
1056 | } |
---|
1057 | |
---|
1058 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
---|
1059 | |
---|
1060 | if (tailRing != currRing) |
---|
1061 | { |
---|
1062 | // check that reduction does not violate exp bound |
---|
1063 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
---|
1064 | { |
---|
1065 | // undo changes of lm |
---|
1066 | p_ExpVectorAdd(lm, p2, tailRing); |
---|
1067 | if (strat == NULL) return 2; |
---|
1068 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
---|
1069 | tailRing = strat->tailRing; |
---|
1070 | p1 = PR->GetLmTailRing(); |
---|
1071 | p2 = PW->GetLmTailRing(); |
---|
1072 | t2 = pNext(p2); |
---|
1073 | lm = p1; |
---|
1074 | p_ExpVectorSub(lm, p2, tailRing); |
---|
1075 | ret = 1; |
---|
1076 | } |
---|
1077 | } |
---|
1078 | |
---|
1079 | #ifdef HAVE_SHIFTBBA |
---|
1080 | poly lmRight; |
---|
1081 | if (tailRing->isLPring) { |
---|
1082 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
---|
1083 | } |
---|
1084 | #endif |
---|
1085 | |
---|
1086 | // take care of coef buisness |
---|
1087 | if(rField_is_Ring(currRing)) |
---|
1088 | { |
---|
1089 | p_SetCoeff(lm, nDiv(pGetCoeff(lm),pGetCoeff(p2)), tailRing); |
---|
1090 | #ifdef HAVE_SHIFTBBA |
---|
1091 | if (tailRing->isLPring) pSetCoeff0(p1, pGetCoeff(lm)); // lm doesn't point to p1 anymore, if the coef was a pointer, it has been deleted |
---|
1092 | #endif |
---|
1093 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
1094 | } |
---|
1095 | else |
---|
1096 | { |
---|
1097 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
---|
1098 | { |
---|
1099 | number bn = pGetCoeff(lm); |
---|
1100 | number an = pGetCoeff(p2); |
---|
1101 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
---|
1102 | p_SetCoeff(lm, bn, tailRing); |
---|
1103 | #ifdef HAVE_SHIFTBBA |
---|
1104 | if (tailRing->isLPring) pSetCoeff0(p1, bn); // lm doesn't point to p1 anymore, if the coef was a pointer, it has been deleted |
---|
1105 | #endif |
---|
1106 | if (((ct == 0) || (ct == 2))) |
---|
1107 | PR->Tail_Mult_nn(an); |
---|
1108 | if (coef != NULL) *coef = an; |
---|
1109 | else n_Delete(&an, tailRing->cf); |
---|
1110 | } |
---|
1111 | else |
---|
1112 | { |
---|
1113 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
1114 | } |
---|
1115 | } |
---|
1116 | |
---|
1117 | // and finally, |
---|
1118 | #ifdef HAVE_SHIFTBBA |
---|
1119 | if (tailRing->isLPring) |
---|
1120 | { |
---|
1121 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
---|
1122 | } |
---|
1123 | else |
---|
1124 | #endif |
---|
1125 | { |
---|
1126 | PR->Tail_Minus_mm_Mult_qq(lm, t2, PW->GetpLength() - 1, spNoether); |
---|
1127 | } |
---|
1128 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
---|
1129 | PR->LmDeleteAndIter(); |
---|
1130 | |
---|
1131 | #if defined(KDEBUG) && defined(TEST_OPT_DEBUG_RED) |
---|
1132 | if (TEST_OPT_DEBUG) |
---|
1133 | { |
---|
1134 | Print(" to: "); PR->wrp(); Print("\n"); |
---|
1135 | } |
---|
1136 | #endif |
---|
1137 | return ret; |
---|
1138 | } |
---|
1139 | |
---|
1140 | /*************************************************************** |
---|
1141 | * |
---|
1142 | * Creates S-Poly of p1 and p2 |
---|
1143 | * |
---|
1144 | * |
---|
1145 | ***************************************************************/ |
---|
1146 | void ksCreateSpoly(LObject* Pair, poly spNoether, |
---|
1147 | int use_buckets, ring tailRing, |
---|
1148 | poly m1, poly m2, TObject** R) |
---|
1149 | { |
---|
1150 | #ifdef KDEBUG |
---|
1151 | create_count++; |
---|
1152 | #endif |
---|
1153 | kTest_L(Pair,tailRing); |
---|
1154 | poly p1 = Pair->p1; |
---|
1155 | poly p2 = Pair->p2; |
---|
1156 | Pair->tailRing = tailRing; |
---|
1157 | |
---|
1158 | assume(p1 != NULL); |
---|
1159 | assume(p2 != NULL); |
---|
1160 | assume(tailRing != NULL); |
---|
1161 | |
---|
1162 | poly a1 = pNext(p1), a2 = pNext(p2); |
---|
1163 | number lc1 = pGetCoeff(p1), lc2 = pGetCoeff(p2); |
---|
1164 | int co=0/*, ct = ksCheckCoeff(&lc1, &lc2, currRing->cf)*/; // gcd and zero divisors |
---|
1165 | (void) ksCheckCoeff(&lc1, &lc2, currRing->cf); |
---|
1166 | |
---|
1167 | int l1=0, l2=0; |
---|
1168 | |
---|
1169 | if (currRing->pCompIndex >= 0) |
---|
1170 | { |
---|
1171 | if (__p_GetComp(p1, currRing)!=__p_GetComp(p2, currRing)) |
---|
1172 | { |
---|
1173 | if (__p_GetComp(p1, currRing)==0) |
---|
1174 | { |
---|
1175 | co=1; |
---|
1176 | p_SetCompP(p1,__p_GetComp(p2, currRing), currRing, tailRing); |
---|
1177 | } |
---|
1178 | else |
---|
1179 | { |
---|
1180 | co=2; |
---|
1181 | p_SetCompP(p2, __p_GetComp(p1, currRing), currRing, tailRing); |
---|
1182 | } |
---|
1183 | } |
---|
1184 | } |
---|
1185 | |
---|
1186 | // get m1 = LCM(LM(p1), LM(p2))/LM(p1) |
---|
1187 | // m2 = LCM(LM(p1), LM(p2))/LM(p2) |
---|
1188 | if (m1 == NULL) |
---|
1189 | k_GetLeadTerms(p1, p2, currRing, m1, m2, tailRing); |
---|
1190 | |
---|
1191 | #ifdef HAVE_SHIFTBBA |
---|
1192 | poly m12, m22; |
---|
1193 | if (tailRing->isLPring) |
---|
1194 | { |
---|
1195 | // note: because of the crits, p2 is never shifted |
---|
1196 | int split = p_mFirstVblock(p1, tailRing); |
---|
1197 | k_SplitFrame(m1, m12, split, tailRing); |
---|
1198 | k_SplitFrame(m2, m22, split, tailRing); |
---|
1199 | // manually free the coeffs, because pSetCoeff0 is used in the next step |
---|
1200 | n_Delete(&(m1->coef), tailRing->cf); |
---|
1201 | n_Delete(&(m2->coef), tailRing->cf); |
---|
1202 | } |
---|
1203 | #endif |
---|
1204 | |
---|
1205 | pSetCoeff0(m1, lc2); |
---|
1206 | pSetCoeff0(m2, lc1); // and now, m1 * LT(p1) == m2 * LT(p2) |
---|
1207 | |
---|
1208 | if (R != NULL) |
---|
1209 | { |
---|
1210 | if (Pair->i_r1 == -1) |
---|
1211 | { |
---|
1212 | l1 = pLength(p1) - 1; |
---|
1213 | } |
---|
1214 | else |
---|
1215 | { |
---|
1216 | l1 = (R[Pair->i_r1])->GetpLength() - 1; |
---|
1217 | } |
---|
1218 | if ((Pair->i_r2 == -1)||(R[Pair->i_r2]==NULL)) |
---|
1219 | { |
---|
1220 | l2 = pLength(p2) - 1; |
---|
1221 | } |
---|
1222 | else |
---|
1223 | { |
---|
1224 | l2 = (R[Pair->i_r2])->GetpLength() - 1; |
---|
1225 | } |
---|
1226 | } |
---|
1227 | |
---|
1228 | // get m2 * a2 |
---|
1229 | if (spNoether != NULL) |
---|
1230 | { |
---|
1231 | l2 = -1; |
---|
1232 | a2 = tailRing->p_Procs->pp_Mult_mm_Noether(a2, m2, spNoether, l2, tailRing); |
---|
1233 | assume(l2 == pLength(a2)); |
---|
1234 | } |
---|
1235 | else |
---|
1236 | #ifdef HAVE_SHIFTBBA |
---|
1237 | if (tailRing->isLPring) |
---|
1238 | { |
---|
1239 | // m2*a2*m22 |
---|
1240 | a2 = tailRing->p_Procs->pp_Mult_mm(tailRing->p_Procs->pp_mm_Mult(a2, m2, tailRing), m22, tailRing); |
---|
1241 | } |
---|
1242 | else |
---|
1243 | #endif |
---|
1244 | { |
---|
1245 | a2 = tailRing->p_Procs->pp_Mult_mm(a2, m2, tailRing); |
---|
1246 | } |
---|
1247 | #ifdef HAVE_RINGS |
---|
1248 | if (!(rField_is_Domain(currRing))) l2 = pLength(a2); |
---|
1249 | #endif |
---|
1250 | |
---|
1251 | Pair->SetLmTail(m2, a2, l2, use_buckets, tailRing); |
---|
1252 | |
---|
1253 | #ifdef HAVE_SHIFTBBA |
---|
1254 | if (tailRing->isLPring) |
---|
1255 | { |
---|
1256 | // get m2*a2*m22 - m1*a1*m12 |
---|
1257 | Pair->Tail_Minus_mm_Mult_qq(m1, tailRing->p_Procs->pp_Mult_mm(a1, m12, tailRing), l1, spNoether); |
---|
1258 | } |
---|
1259 | else |
---|
1260 | #endif |
---|
1261 | { |
---|
1262 | // get m2*a2 - m1*a1 |
---|
1263 | Pair->Tail_Minus_mm_Mult_qq(m1, a1, l1, spNoether); |
---|
1264 | } |
---|
1265 | |
---|
1266 | // Clean-up time |
---|
1267 | Pair->LmDeleteAndIter(); |
---|
1268 | p_LmDelete(m1, tailRing); |
---|
1269 | #ifdef HAVE_SHIFTBBA |
---|
1270 | if (tailRing->isLPring) |
---|
1271 | { |
---|
1272 | p_LmDelete(m12, tailRing); |
---|
1273 | p_LmDelete(m22, tailRing); |
---|
1274 | // m2 is already deleted |
---|
1275 | } |
---|
1276 | #endif |
---|
1277 | |
---|
1278 | if (co != 0) |
---|
1279 | { |
---|
1280 | if (co==1) |
---|
1281 | { |
---|
1282 | p_SetCompP(p1,0, currRing, tailRing); |
---|
1283 | } |
---|
1284 | else |
---|
1285 | { |
---|
1286 | p_SetCompP(p2,0, currRing, tailRing); |
---|
1287 | } |
---|
1288 | } |
---|
1289 | } |
---|
1290 | |
---|
1291 | int ksReducePolyTail(LObject* PR, TObject* PW, poly Current, poly spNoether) |
---|
1292 | { |
---|
1293 | BOOLEAN ret; |
---|
1294 | number coef; |
---|
1295 | poly Lp = PR->GetLmCurrRing(); |
---|
1296 | poly Save = PW->GetLmCurrRing(); |
---|
1297 | |
---|
1298 | kTest_L(PR,PR->tailRing); |
---|
1299 | kTest_T(PW); |
---|
1300 | pAssume(pIsMonomOf(Lp, Current)); |
---|
1301 | |
---|
1302 | assume(Lp != NULL && Current != NULL && pNext(Current) != NULL); |
---|
1303 | assume(PR->bucket == NULL); |
---|
1304 | |
---|
1305 | LObject Red(pNext(Current), PR->tailRing); |
---|
1306 | TObject With(PW, Lp == Save); |
---|
1307 | |
---|
1308 | pAssume(!pHaveCommonMonoms(Red.p, With.p)); |
---|
1309 | ret = ksReducePoly(&Red, &With, spNoether, &coef); |
---|
1310 | |
---|
1311 | if (!ret) |
---|
1312 | { |
---|
1313 | if (! n_IsOne(coef, currRing->cf)) |
---|
1314 | { |
---|
1315 | pNext(Current) = NULL; |
---|
1316 | if (Current == PR->p && PR->t_p != NULL) |
---|
1317 | pNext(PR->t_p) = NULL; |
---|
1318 | PR->Mult_nn(coef); |
---|
1319 | } |
---|
1320 | |
---|
1321 | n_Delete(&coef, currRing->cf); |
---|
1322 | pNext(Current) = Red.GetLmTailRing(); |
---|
1323 | if (Current == PR->p && PR->t_p != NULL) |
---|
1324 | pNext(PR->t_p) = pNext(Current); |
---|
1325 | } |
---|
1326 | |
---|
1327 | if (Lp == Save) |
---|
1328 | With.Delete(); |
---|
1329 | |
---|
1330 | return ret; |
---|
1331 | } |
---|
1332 | |
---|
1333 | int ksReducePolyTailBound(LObject* PR, TObject* PW, int bound, poly Current, poly spNoether) |
---|
1334 | { |
---|
1335 | BOOLEAN ret; |
---|
1336 | number coef; |
---|
1337 | poly Lp = PR->GetLmCurrRing(); |
---|
1338 | poly Save = PW->GetLmCurrRing(); |
---|
1339 | |
---|
1340 | kTest_L(PR,PR->tailRing); |
---|
1341 | kTest_T(PW); |
---|
1342 | pAssume(pIsMonomOf(Lp, Current)); |
---|
1343 | |
---|
1344 | assume(Lp != NULL && Current != NULL && pNext(Current) != NULL); |
---|
1345 | assume(PR->bucket == NULL); |
---|
1346 | |
---|
1347 | LObject Red(pNext(Current), PR->tailRing); |
---|
1348 | TObject With(PW, Lp == Save); |
---|
1349 | |
---|
1350 | pAssume(!pHaveCommonMonoms(Red.p, With.p)); |
---|
1351 | ret = ksReducePolyBound(&Red, &With,bound, spNoether, &coef); |
---|
1352 | |
---|
1353 | if (!ret) |
---|
1354 | { |
---|
1355 | if (! n_IsOne(coef, currRing)) |
---|
1356 | { |
---|
1357 | pNext(Current) = NULL; |
---|
1358 | if (Current == PR->p && PR->t_p != NULL) |
---|
1359 | pNext(PR->t_p) = NULL; |
---|
1360 | PR->Mult_nn(coef); |
---|
1361 | } |
---|
1362 | |
---|
1363 | n_Delete(&coef, currRing); |
---|
1364 | pNext(Current) = Red.GetLmTailRing(); |
---|
1365 | if (Current == PR->p && PR->t_p != NULL) |
---|
1366 | pNext(PR->t_p) = pNext(Current); |
---|
1367 | } |
---|
1368 | |
---|
1369 | if (Lp == Save) |
---|
1370 | With.Delete(); |
---|
1371 | |
---|
1372 | return ret; |
---|
1373 | } |
---|
1374 | |
---|
1375 | /*************************************************************** |
---|
1376 | * |
---|
1377 | * Auxillary Routines |
---|
1378 | * |
---|
1379 | * |
---|
1380 | ***************************************************************/ |
---|
1381 | |
---|
1382 | /*2 |
---|
1383 | * creates the leading term of the S-polynomial of p1 and p2 |
---|
1384 | * do not destroy p1 and p2 |
---|
1385 | * remarks: |
---|
1386 | * 1. the coefficient is 0 (p_Init) |
---|
1387 | * 1. a) in the case of coefficient ring, the coefficient is calculated |
---|
1388 | * 2. pNext is undefined |
---|
1389 | */ |
---|
1390 | //static void bbb() { int i=0; } |
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1391 | poly ksCreateShortSpoly(poly p1, poly p2, ring tailRing) |
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1392 | { |
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1393 | poly a1 = pNext(p1), a2 = pNext(p2); |
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1394 | #ifdef HAVE_SHIFTBBA |
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1395 | int shift1, shift2; |
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1396 | if (tailRing->isLPring) { |
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1397 | // assume: LM is shifted, tail unshifted |
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1398 | assume(p_FirstVblock(a1, tailRing) <= 1); |
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1399 | assume(p_FirstVblock(a2, tailRing) <= 1); |
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1400 | // save the shift of the LM so we can shift the other monomials on demand |
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1401 | shift1 = p_mFirstVblock(p1, tailRing) - 1; |
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1402 | shift2 = p_mFirstVblock(p2, tailRing) - 1; |
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1403 | } |
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1404 | #endif |
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1405 | long c1=p_GetComp(p1, currRing),c2=p_GetComp(p2, currRing); |
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1406 | long c; |
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1407 | poly m1,m2; |
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1408 | number t1 = NULL,t2 = NULL; |
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1409 | int cm,i; |
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1410 | BOOLEAN equal; |
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1411 | |
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1412 | #ifdef HAVE_RINGS |
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1413 | BOOLEAN is_Ring=rField_is_Ring(currRing); |
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1414 | number lc1 = pGetCoeff(p1), lc2 = pGetCoeff(p2); |
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1415 | if (is_Ring) |
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1416 | { |
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1417 | ksCheckCoeff(&lc1, &lc2, currRing->cf); // gcd and zero divisors |
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1418 | if (a1 != NULL) t2 = nMult(pGetCoeff(a1),lc2); |
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1419 | if (a2 != NULL) t1 = nMult(pGetCoeff(a2),lc1); |
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1420 | while (a1 != NULL && nIsZero(t2)) |
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1421 | { |
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1422 | pIter(a1); |
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1423 | nDelete(&t2); |
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1424 | if (a1 != NULL) t2 = nMult(pGetCoeff(a1),lc2); |
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1425 | } |
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1426 | while (a2 != NULL && nIsZero(t1)) |
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1427 | { |
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1428 | pIter(a2); |
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1429 | nDelete(&t1); |
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1430 | if (a2 != NULL) t1 = nMult(pGetCoeff(a2),lc1); |
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1431 | } |
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1432 | } |
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1433 | #endif |
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1434 | |
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1435 | #ifdef HAVE_SHIFTBBA |
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1436 | // shift the next monomial on demand |
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1437 | if (tailRing->isLPring) |
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1438 | { |
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1439 | a1 = p_LPCopyAndShiftLM(a1, shift1, tailRing); |
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1440 | a2 = p_LPCopyAndShiftLM(a2, shift2, tailRing); |
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1441 | } |
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1442 | #endif |
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1443 | if (a1==NULL) |
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1444 | { |
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1445 | if(a2!=NULL) |
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1446 | { |
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1447 | m2=p_Init(currRing); |
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1448 | x2: |
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1449 | for (i = (currRing->N); i; i--) |
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1450 | { |
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1451 | c = p_GetExpDiff(p1, p2,i, currRing); |
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1452 | if (c>0) |
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1453 | { |
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1454 | p_SetExp(m2,i,(c+p_GetExp(a2,i,tailRing)),currRing); |
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1455 | } |
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1456 | else |
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1457 | { |
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1458 | p_SetExp(m2,i,p_GetExp(a2,i,tailRing),currRing); |
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1459 | } |
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1460 | } |
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1461 | if ((c1==c2)||(c2!=0)) |
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1462 | { |
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1463 | p_SetComp(m2,p_GetComp(a2,tailRing), currRing); |
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1464 | } |
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1465 | else |
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1466 | { |
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1467 | p_SetComp(m2,c1,currRing); |
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1468 | } |
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1469 | p_Setm(m2, currRing); |
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1470 | #ifdef HAVE_RINGS |
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1471 | if (is_Ring) |
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1472 | { |
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1473 | nDelete(&lc1); |
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1474 | nDelete(&lc2); |
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1475 | nDelete(&t2); |
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1476 | pSetCoeff0(m2, t1); |
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1477 | } |
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1478 | #endif |
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1479 | return m2; |
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1480 | } |
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1481 | else |
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1482 | { |
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1483 | #ifdef HAVE_RINGS |
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1484 | if (is_Ring) |
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1485 | { |
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1486 | nDelete(&lc1); |
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1487 | nDelete(&lc2); |
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1488 | nDelete(&t1); |
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1489 | nDelete(&t2); |
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1490 | } |
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1491 | #endif |
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1492 | return NULL; |
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1493 | } |
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1494 | } |
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1495 | if (a2==NULL) |
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1496 | { |
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1497 | m1=p_Init(currRing); |
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1498 | x1: |
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1499 | for (i = (currRing->N); i; i--) |
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1500 | { |
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1501 | c = p_GetExpDiff(p2, p1,i,currRing); |
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1502 | if (c>0) |
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1503 | { |
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1504 | p_SetExp(m1,i,(c+p_GetExp(a1,i, tailRing)),currRing); |
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1505 | } |
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1506 | else |
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1507 | { |
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1508 | p_SetExp(m1,i,p_GetExp(a1,i, tailRing), currRing); |
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1509 | } |
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1510 | } |
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1511 | if ((c1==c2)||(c1!=0)) |
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1512 | { |
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1513 | p_SetComp(m1,p_GetComp(a1,tailRing),currRing); |
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1514 | } |
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1515 | else |
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1516 | { |
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1517 | p_SetComp(m1,c2,currRing); |
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1518 | } |
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1519 | p_Setm(m1, currRing); |
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1520 | #ifdef HAVE_RINGS |
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1521 | if (is_Ring) |
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1522 | { |
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1523 | pSetCoeff0(m1, t2); |
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1524 | nDelete(&lc1); |
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1525 | nDelete(&lc2); |
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1526 | nDelete(&t1); |
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1527 | } |
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1528 | #endif |
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1529 | return m1; |
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1530 | } |
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1531 | m1 = p_Init(currRing); |
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1532 | m2 = p_Init(currRing); |
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1533 | loop |
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1534 | { |
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1535 | for (i = (currRing->N); i; i--) |
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1536 | { |
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1537 | c = p_GetExpDiff(p1, p2,i,currRing); |
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1538 | if (c > 0) |
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1539 | { |
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1540 | p_SetExp(m2,i,(c+p_GetExp(a2,i,tailRing)), currRing); |
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1541 | p_SetExp(m1,i,p_GetExp(a1,i, tailRing), currRing); |
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1542 | } |
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1543 | else |
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1544 | { |
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1545 | p_SetExp(m1,i,(p_GetExp(a1,i,tailRing)-c), currRing); |
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1546 | p_SetExp(m2,i,p_GetExp(a2,i, tailRing), currRing); |
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1547 | } |
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1548 | } |
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1549 | if(c1==c2) |
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1550 | { |
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1551 | p_SetComp(m1,p_GetComp(a1, tailRing), currRing); |
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1552 | p_SetComp(m2,p_GetComp(a2, tailRing), currRing); |
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1553 | } |
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1554 | else |
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1555 | { |
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1556 | if(c1!=0) |
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1557 | { |
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1558 | p_SetComp(m1,p_GetComp(a1, tailRing), currRing); |
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1559 | p_SetComp(m2,c1, currRing); |
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1560 | } |
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1561 | else |
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1562 | { |
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1563 | p_SetComp(m2,p_GetComp(a2, tailRing), currRing); |
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1564 | p_SetComp(m1,c2, currRing); |
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1565 | } |
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1566 | } |
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1567 | p_Setm(m1,currRing); |
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1568 | p_Setm(m2,currRing); |
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1569 | cm = p_LmCmp(m1, m2,currRing); |
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1570 | if (cm!=0) |
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1571 | { |
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1572 | if(cm==1) |
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1573 | { |
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1574 | p_LmFree(m2,currRing); |
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1575 | #ifdef HAVE_RINGS |
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1576 | if (is_Ring) |
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1577 | { |
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1578 | pSetCoeff0(m1, t2); |
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1579 | nDelete(&lc1); |
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1580 | nDelete(&lc2); |
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1581 | nDelete(&t1); |
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1582 | } |
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1583 | #endif |
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1584 | return m1; |
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1585 | } |
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1586 | else |
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1587 | { |
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1588 | p_LmFree(m1,currRing); |
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1589 | #ifdef HAVE_RINGS |
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1590 | if (is_Ring) |
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1591 | { |
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1592 | pSetCoeff0(m2, t1); |
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1593 | nDelete(&lc1); |
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1594 | nDelete(&lc2); |
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1595 | nDelete(&t2); |
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1596 | } |
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1597 | #endif |
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1598 | return m2; |
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1599 | } |
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1600 | } |
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1601 | #ifdef HAVE_RINGS |
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1602 | if (is_Ring) |
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1603 | { |
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1604 | equal = nEqual(t1,t2); |
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1605 | } |
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1606 | else |
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1607 | #endif |
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1608 | { |
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1609 | t1 = nMult(pGetCoeff(a2),pGetCoeff(p1)); |
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1610 | t2 = nMult(pGetCoeff(a1),pGetCoeff(p2)); |
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1611 | equal = nEqual(t1,t2); |
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1612 | nDelete(&t2); |
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1613 | nDelete(&t1); |
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1614 | } |
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1615 | if (!equal) |
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1616 | { |
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1617 | p_LmFree(m2,currRing); |
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1618 | #ifdef HAVE_RINGS |
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1619 | if (is_Ring) |
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1620 | { |
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1621 | pSetCoeff0(m1, nSub(t1, t2)); |
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1622 | nDelete(&lc1); |
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1623 | nDelete(&lc2); |
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1624 | nDelete(&t1); |
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1625 | nDelete(&t2); |
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1626 | } |
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1627 | #endif |
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1628 | return m1; |
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1629 | } |
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1630 | pIter(a1); |
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1631 | pIter(a2); |
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1632 | #ifdef HAVE_RINGS |
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1633 | if (is_Ring) |
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1634 | { |
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1635 | if (a2 != NULL) |
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1636 | { |
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1637 | nDelete(&t1); |
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1638 | t1 = nMult(pGetCoeff(a2),lc1); |
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1639 | } |
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1640 | if (a1 != NULL) |
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1641 | { |
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1642 | nDelete(&t2); |
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1643 | t2 = nMult(pGetCoeff(a1),lc2); |
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1644 | } |
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1645 | while ((a1 != NULL) && nIsZero(t2)) |
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1646 | { |
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1647 | pIter(a1); |
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1648 | if (a1 != NULL) |
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1649 | { |
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1650 | nDelete(&t2); |
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1651 | t2 = nMult(pGetCoeff(a1),lc2); |
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1652 | } |
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1653 | } |
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1654 | while ((a2 != NULL) && nIsZero(t1)) |
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1655 | { |
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1656 | pIter(a2); |
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1657 | if (a2 != NULL) |
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1658 | { |
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1659 | nDelete(&t1); |
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1660 | t1 = nMult(pGetCoeff(a2),lc1); |
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1661 | } |
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1662 | } |
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1663 | } |
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1664 | #endif |
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1665 | #ifdef HAVE_SHIFTBBA |
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1666 | if (tailRing->isLPring) |
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1667 | { |
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1668 | a1 = p_LPCopyAndShiftLM(a1, shift1, tailRing); |
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1669 | a2 = p_LPCopyAndShiftLM(a2, shift2, tailRing); |
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1670 | } |
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1671 | #endif |
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1672 | if (a2==NULL) |
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1673 | { |
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1674 | p_LmFree(m2,currRing); |
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1675 | if (a1==NULL) |
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1676 | { |
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1677 | #ifdef HAVE_RINGS |
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1678 | if (is_Ring) |
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1679 | { |
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1680 | nDelete(&lc1); |
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1681 | nDelete(&lc2); |
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1682 | nDelete(&t1); |
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1683 | nDelete(&t2); |
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1684 | } |
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1685 | #endif |
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1686 | p_LmFree(m1,currRing); |
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1687 | return NULL; |
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1688 | } |
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1689 | goto x1; |
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1690 | } |
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1691 | if (a1==NULL) |
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1692 | { |
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1693 | p_LmFree(m1,currRing); |
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1694 | goto x2; |
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1695 | } |
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1696 | } |
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1697 | } |
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