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 "polys/shiftop.h" |
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24 | #endif |
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25 | |
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26 | #ifdef KDEBUG |
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27 | VAR int red_count = 0; |
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28 | VAR int create_count = 0; |
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29 | // define this if reductions are reported on TEST_OPT_DEBUG |
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30 | #define TEST_OPT_DEBUG_RED |
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31 | #endif |
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32 | |
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33 | /*************************************************************** |
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34 | * |
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35 | * Reduces PR with PW |
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36 | * Assumes PR != NULL, PW != NULL, Lm(PW) divides Lm(PR) |
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37 | * |
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38 | * returns 0: okay |
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39 | * 1: tailRing changed |
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40 | * -1: cannot change tailRing |
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41 | * 2: cannot change tailRing: strat==NULL |
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42 | * |
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43 | ***************************************************************/ |
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44 | int ksReducePolyZ(LObject* PR, |
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45 | TObject* PW, |
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46 | poly spNoether, |
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47 | number *coef, |
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48 | kStrategy strat) |
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49 | { |
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50 | #ifdef KDEBUG |
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51 | red_count++; |
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52 | #ifdef TEST_OPT_DEBUG_RED |
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53 | // if (TEST_OPT_DEBUG) |
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54 | // { |
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55 | // Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
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56 | // PW->wrp(); |
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57 | // //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
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58 | // //pWrite(PR->p); |
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59 | // } |
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60 | #endif |
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61 | #endif |
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62 | int ret = 0; |
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63 | ring tailRing = PR->tailRing; |
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64 | kTest_L(PR,tailRing); |
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65 | kTest_T(PW); |
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66 | |
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67 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
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68 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
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69 | 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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70 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
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71 | p_CheckPolyRing(p1, tailRing); |
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72 | p_CheckPolyRing(p2, tailRing); |
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73 | |
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74 | pAssume1(p2 != NULL && p1 != NULL && |
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75 | p_DivisibleBy(p2, p1, tailRing)); |
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76 | |
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77 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
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78 | (p_GetComp(p2, tailRing) == 0 && |
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79 | p_MaxComp(pNext(p2),tailRing) == 0)); |
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80 | |
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81 | #ifdef HAVE_PLURAL |
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82 | if (rIsPluralRing(currRing)) |
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83 | { |
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84 | // for the time being: we know currRing==strat->tailRing |
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85 | // no exp-bound checking needed |
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86 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
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87 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
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88 | else |
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89 | { |
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90 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
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91 | assume(_p != NULL); |
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92 | nc_PolyPolyRed(_p, p2,coef, currRing); |
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93 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
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94 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
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95 | } |
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96 | return 0; |
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97 | } |
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98 | #endif |
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99 | |
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100 | if (t2==NULL) // Divisor is just one term, therefore it will |
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101 | { // just cancel the leading term |
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102 | // adjust lead coefficient if needed |
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103 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
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104 | { |
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105 | number bn = pGetCoeff(lm); |
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106 | number an = pGetCoeff(p2); |
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107 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
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108 | p_SetCoeff(lm, bn, tailRing); |
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109 | if ((ct == 0) || (ct == 2)) |
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110 | PR->Tail_Mult_nn(an); |
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111 | if (coef != NULL) *coef = an; |
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112 | else n_Delete(&an, tailRing->cf); |
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113 | } |
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114 | PR->LmDeleteAndIter(); |
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115 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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116 | return 0; |
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117 | } |
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118 | |
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119 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
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120 | |
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121 | //if (tailRing != currRing) |
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122 | { |
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123 | // check that reduction does not violate exp bound |
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124 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
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125 | { |
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126 | // undo changes of lm |
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127 | p_ExpVectorAdd(lm, p2, tailRing); |
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128 | if (strat == NULL) return 2; |
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129 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
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130 | tailRing = strat->tailRing; |
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131 | p1 = PR->GetLmTailRing(); |
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132 | p2 = PW->GetLmTailRing(); |
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133 | t2 = pNext(p2); |
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134 | lm = p1; |
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135 | p_ExpVectorSub(lm, p2, tailRing); |
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136 | ret = 1; |
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137 | } |
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138 | } |
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139 | |
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140 | #ifdef HAVE_SHIFTBBA |
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141 | poly lmRight; |
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142 | if (tailRing->isLPring) |
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143 | { |
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144 | assume(PR->shift == 0); |
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145 | assume(PW->shift == si_max(p_mFirstVblock(PW->p, tailRing) - 1, 0)); |
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146 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
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147 | } |
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148 | #endif |
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149 | |
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150 | // take care of coef buisness |
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151 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
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152 | { |
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153 | number bn = pGetCoeff(lm); |
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154 | number an = pGetCoeff(p2); |
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155 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
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156 | p_SetCoeff(lm, bn, tailRing); |
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157 | if ((ct == 0) || (ct == 2)) |
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158 | PR->Tail_Mult_nn(an); |
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159 | if (coef != NULL) *coef = an; |
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160 | else n_Delete(&an, tailRing->cf); |
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161 | } |
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162 | else |
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163 | { |
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164 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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165 | } |
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166 | |
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167 | |
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168 | // and finally, |
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169 | #ifdef HAVE_SHIFTBBA |
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170 | if (tailRing->isLPring) |
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171 | { |
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172 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
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173 | } |
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174 | else |
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175 | #endif |
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176 | { |
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177 | PR->Tail_Minus_mm_Mult_qq(lm, t2, pLength(t2) /*PW->GetpLength() - 1*/, spNoether); |
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178 | } |
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179 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
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180 | PR->LmDeleteAndIter(); |
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181 | |
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182 | return ret; |
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183 | } |
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184 | |
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185 | int ksReducePoly(LObject* PR, |
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186 | TObject* PW, |
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187 | poly spNoether, |
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188 | number *coef, |
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189 | kStrategy strat) |
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190 | { |
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191 | #ifdef KDEBUG |
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192 | red_count++; |
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193 | #ifdef TEST_OPT_DEBUG_RED |
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194 | // if (TEST_OPT_DEBUG) |
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195 | // { |
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196 | // Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
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197 | // PW->wrp(); |
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198 | // //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
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199 | // //pWrite(PR->p); |
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200 | // } |
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201 | #endif |
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202 | #endif |
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203 | int ret = 0; |
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204 | ring tailRing = PR->tailRing; |
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205 | kTest_L(PR,tailRing); |
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206 | kTest_T(PW); |
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207 | |
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208 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
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209 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
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210 | 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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211 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
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212 | p_CheckPolyRing(p1, tailRing); |
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213 | p_CheckPolyRing(p2, tailRing); |
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214 | |
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215 | pAssume1(p2 != NULL && p1 != NULL && |
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216 | p_DivisibleBy(p2, p1, tailRing)); |
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217 | |
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218 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
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219 | (p_GetComp(p2, tailRing) == 0 && |
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220 | p_MaxComp(pNext(p2),tailRing) == 0)); |
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221 | |
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222 | #ifdef HAVE_PLURAL |
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223 | if (rIsPluralRing(currRing)) |
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224 | { |
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225 | // for the time being: we know currRing==strat->tailRing |
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226 | // no exp-bound checking needed |
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227 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
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228 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
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229 | else |
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230 | { |
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231 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
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232 | assume(_p != NULL); |
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233 | nc_PolyPolyRed(_p, p2,coef, currRing); |
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234 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
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235 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
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236 | } |
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237 | return 0; |
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238 | } |
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239 | #endif |
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240 | |
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241 | if (t2==NULL) // Divisor is just one term, therefore it will |
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242 | { // just cancel the leading term |
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243 | PR->LmDeleteAndIter(); |
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244 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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245 | return 0; |
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246 | } |
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247 | |
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248 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
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249 | |
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250 | //if (tailRing != currRing) |
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251 | { |
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252 | // check that reduction does not violate exp bound |
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253 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
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254 | { |
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255 | // undo changes of lm |
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256 | p_ExpVectorAdd(lm, p2, tailRing); |
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257 | if (strat == NULL) return 2; |
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258 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
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259 | tailRing = strat->tailRing; |
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260 | p1 = PR->GetLmTailRing(); |
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261 | p2 = PW->GetLmTailRing(); |
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262 | t2 = pNext(p2); |
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263 | lm = p1; |
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264 | p_ExpVectorSub(lm, p2, tailRing); |
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265 | ret = 1; |
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266 | } |
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267 | } |
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268 | |
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269 | #ifdef HAVE_SHIFTBBA |
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270 | poly lmRight; |
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271 | if (tailRing->isLPring) |
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272 | { |
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273 | assume(PR->shift == 0); |
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274 | assume(PW->shift == si_max(p_mFirstVblock(PW->p, tailRing) - 1, 0)); |
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275 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
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276 | } |
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277 | #endif |
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278 | |
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279 | // take care of coef buisness |
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280 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
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281 | { |
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282 | number bn = pGetCoeff(lm); |
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283 | number an = pGetCoeff(p2); |
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284 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
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285 | p_SetCoeff(lm, bn, tailRing); |
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286 | if ((ct == 0) || (ct == 2)) |
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287 | PR->Tail_Mult_nn(an); |
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288 | if (coef != NULL) *coef = an; |
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289 | else n_Delete(&an, tailRing->cf); |
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290 | } |
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291 | else |
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292 | { |
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293 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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294 | } |
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295 | |
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296 | |
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297 | // and finally, |
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298 | #ifdef HAVE_SHIFTBBA |
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299 | if (tailRing->isLPring) |
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300 | { |
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301 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
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302 | } |
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303 | else |
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304 | #endif |
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305 | { |
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306 | PR->Tail_Minus_mm_Mult_qq(lm, t2, pLength(t2) /*PW->GetpLength() - 1*/, spNoether); |
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307 | } |
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308 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
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309 | PR->LmDeleteAndIter(); |
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310 | |
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311 | return ret; |
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312 | } |
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313 | |
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314 | int ksReducePolyGCD(LObject* PR, |
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315 | TObject* PW, |
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316 | poly spNoether, |
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317 | number *coef, |
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318 | kStrategy strat) |
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319 | { |
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320 | #ifdef KDEBUG |
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321 | red_count++; |
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322 | #ifdef TEST_OPT_DEBUG_RED |
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323 | // if (TEST_OPT_DEBUG) |
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324 | // { |
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325 | // Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
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326 | // PW->wrp(); |
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327 | // //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
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328 | // //pWrite(PR->p); |
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329 | // } |
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330 | #endif |
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331 | #endif |
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332 | int ret = 0; |
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333 | ring tailRing = PR->tailRing; |
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334 | kTest_L(PR, tailRing); |
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335 | kTest_T(PW); |
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336 | |
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337 | poly p1 = PR->GetLmTailRing(); |
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338 | poly p2 = PW->GetLmTailRing(); |
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339 | poly t2 = pNext(p2), lm = pOne(); |
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340 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
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341 | p_CheckPolyRing(p1, tailRing); |
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342 | p_CheckPolyRing(p2, tailRing); |
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343 | |
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344 | pAssume1(p2 != NULL && p1 != NULL && |
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345 | p_DivisibleBy(p2, p1, tailRing)); |
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346 | |
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347 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
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348 | (p_GetComp(p2, tailRing) == 0 && |
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349 | p_MaxComp(pNext(p2),tailRing) == 0)); |
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350 | |
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351 | #ifdef HAVE_PLURAL |
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352 | if (rIsPluralRing(currRing)) |
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353 | { |
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354 | // for the time being: we know currRing==strat->tailRing |
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355 | // no exp-bound checking needed |
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356 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
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357 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
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358 | else |
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359 | { |
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360 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
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361 | assume(_p != NULL); |
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362 | nc_PolyPolyRed(_p, p2,coef, currRing); |
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363 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
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364 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
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365 | } |
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366 | return 0; |
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367 | } |
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368 | #endif |
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369 | // check that reduction does not violate exp bound |
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370 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
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371 | { |
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372 | // undo changes of lm |
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373 | p_ExpVectorAdd(lm, p2, tailRing); |
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374 | if (strat == NULL) return 2; |
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375 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
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376 | tailRing = strat->tailRing; |
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377 | p1 = PR->GetLmTailRing(); |
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378 | p2 = PW->GetLmTailRing(); |
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379 | t2 = pNext(p2); |
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380 | lm = p1; |
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381 | p_ExpVectorSub(lm, p2, tailRing); |
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382 | ret = 1; |
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383 | } |
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384 | |
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385 | #ifdef HAVE_SHIFTBBA |
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386 | poly lmRight; |
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387 | if (tailRing->isLPring) |
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388 | { |
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389 | assume(PR->shift == 0); |
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390 | assume(PW->shift == si_max(p_mFirstVblock(PW->p, tailRing) - 1, 0)); |
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391 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
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392 | } |
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393 | #endif |
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394 | |
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395 | number ct, an, bn; |
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396 | // take care of coef buisness |
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397 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
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398 | { |
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399 | ct = n_ExtGcd(pGetCoeff(p1), pGetCoeff(p2), &an, &bn, tailRing->cf); // Calculate GCD |
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400 | #ifdef HAVE_SHIFTBBA |
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401 | if (n_IsZero(an, tailRing->cf) || n_IsZero(bn, tailRing->cf)) |
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402 | { |
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403 | // NOTE: not sure why this is not checked in the commutative case, this *does* happen and then zero coeff errors are reported |
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404 | |
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405 | // NOTE: we are probably leaking memory of lm=pOne(), but we cannot delete it since it could also be lm=p1 |
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406 | n_Delete(&an, tailRing->cf); |
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407 | n_Delete(&bn, tailRing->cf); |
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408 | n_Delete(&ct, tailRing->cf); |
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409 | return ret; |
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410 | } |
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411 | #endif |
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412 | /* negate bn since we subtract in Tail_Minus_mm_Mult_qq */ |
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413 | bn = n_InpNeg(bn, tailRing->cf); |
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414 | p_SetCoeff(lm, bn, tailRing); |
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415 | PR->Tail_Mult_nn(an); |
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416 | } |
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417 | else |
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418 | { |
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419 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
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420 | } |
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421 | |
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422 | |
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423 | // and finally, |
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424 | #ifdef HAVE_SHIFTBBA |
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425 | if (tailRing->isLPring) |
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426 | { |
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427 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
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428 | } |
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429 | else |
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430 | #endif |
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431 | { |
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432 | PR->Tail_Minus_mm_Mult_qq(lm, t2, pLength(t2) /*PW->GetpLength() - 1*/, spNoether); |
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433 | } |
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434 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
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435 | pSetCoeff(PR->p, ct); |
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436 | |
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437 | return ret; |
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438 | } |
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439 | |
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440 | /* Computes a reduction of the lead coefficient only. We have already tested |
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441 | * that lm(PW) divides lm(PR), but lc(PW) does not divide lc(PR). We have |
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442 | * computed division with remainder on the lead coefficients, parameter |
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443 | * coef is the corresponding multiple for PW we need. The new lead |
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444 | * coefficient, i.e. the remainder of lc division has already been |
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445 | * set before calling this function. We do not drop the lead term at |
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446 | * the end, but keep the adjusted, correct lead term. */ |
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447 | int ksReducePolyLC(LObject* PR, |
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448 | TObject* PW, |
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449 | poly spNoether, |
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450 | number *coef, |
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451 | kStrategy strat) |
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452 | { |
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453 | #ifdef KDEBUG |
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454 | red_count++; |
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455 | #ifdef TEST_OPT_DEBUG_RED |
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456 | // if (TEST_OPT_DEBUG) |
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457 | // { |
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458 | // Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
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459 | // PW->wrp(); |
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460 | // //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
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461 | // //pWrite(PR->p); |
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462 | // } |
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463 | #endif |
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464 | #endif |
---|
465 | /* printf("PR->P: "); |
---|
466 | * p_Write(PR->p, currRing, PR->tailRing); */ |
---|
467 | int ret = 0; |
---|
468 | ring tailRing = PR->tailRing; |
---|
469 | kTest_L(PR,tailRing); |
---|
470 | kTest_T(PW); |
---|
471 | |
---|
472 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
---|
473 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
---|
474 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
---|
475 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
---|
476 | p_CheckPolyRing(p1, tailRing); |
---|
477 | p_CheckPolyRing(p2, tailRing); |
---|
478 | |
---|
479 | pAssume1(p2 != NULL && p1 != NULL && |
---|
480 | p_DivisibleBy(p2, p1, tailRing)); |
---|
481 | |
---|
482 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
---|
483 | (p_GetComp(p2, tailRing) == 0 && |
---|
484 | p_MaxComp(pNext(p2),tailRing) == 0)); |
---|
485 | |
---|
486 | #ifdef HAVE_PLURAL |
---|
487 | if (rIsPluralRing(currRing)) |
---|
488 | { |
---|
489 | // for the time being: we know currRing==strat->tailRing |
---|
490 | // no exp-bound checking needed |
---|
491 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
---|
492 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
---|
493 | else |
---|
494 | { |
---|
495 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
---|
496 | assume(_p != NULL); |
---|
497 | nc_PolyPolyRed(_p, p2,coef, currRing); |
---|
498 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
---|
499 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
---|
500 | } |
---|
501 | return 0; |
---|
502 | } |
---|
503 | #endif |
---|
504 | |
---|
505 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
---|
506 | p_SetCoeff(lm, n_Init(1, tailRing), tailRing); |
---|
507 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
---|
508 | { |
---|
509 | // undo changes of lm |
---|
510 | p_ExpVectorAdd(lm, p2, tailRing); |
---|
511 | if (strat == NULL) return 2; |
---|
512 | /* if (! kStratChangeTailRing(strat, PR, PW)) return -1; */ |
---|
513 | tailRing = strat->tailRing; |
---|
514 | p1 = PR->GetLmTailRing(); |
---|
515 | p2 = PW->GetLmTailRing(); |
---|
516 | t2 = pNext(p2); |
---|
517 | lm = p1; |
---|
518 | p_ExpVectorSub(lm, p2, tailRing); |
---|
519 | ret = 1; |
---|
520 | } |
---|
521 | |
---|
522 | #ifdef HAVE_SHIFTBBA |
---|
523 | poly lmRight; |
---|
524 | if (tailRing->isLPring) |
---|
525 | { |
---|
526 | assume(PR->shift == 0); |
---|
527 | assume(PW->shift == si_max(p_mFirstVblock(PW->p, tailRing) - 1, 0)); |
---|
528 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
---|
529 | } |
---|
530 | #endif |
---|
531 | |
---|
532 | // and finally, |
---|
533 | #ifdef HAVE_SHIFTBBA |
---|
534 | if (tailRing->isLPring) |
---|
535 | { |
---|
536 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(p2, lmRight, tailRing), pLength(p2), spNoether); |
---|
537 | } |
---|
538 | else |
---|
539 | #endif |
---|
540 | { |
---|
541 | PR->Tail_Minus_mm_Mult_qq(lm, p2, pLength(p2) /*PW->GetpLength() - 1*/, spNoether); |
---|
542 | } |
---|
543 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
---|
544 | |
---|
545 | PR->LmDeleteAndIter(); |
---|
546 | p_SetCoeff(PR->p, *coef, currRing); |
---|
547 | |
---|
548 | #if defined(KDEBUG) && defined(TEST_OPT_DEBUG_RED) |
---|
549 | if (TEST_OPT_DEBUG) |
---|
550 | { |
---|
551 | Print(" to: "); PR->wrp(); Print("\n"); |
---|
552 | //printf("\nt^%i ", PR->ecart);pWrite(pHead(PR->p)); |
---|
553 | } |
---|
554 | #endif |
---|
555 | return ret; |
---|
556 | } |
---|
557 | |
---|
558 | int ksReducePolyBound(LObject* PR, |
---|
559 | TObject* PW, |
---|
560 | int bound, |
---|
561 | poly spNoether, |
---|
562 | number *coef, |
---|
563 | kStrategy strat) |
---|
564 | { |
---|
565 | #ifdef KDEBUG |
---|
566 | red_count++; |
---|
567 | #ifdef TEST_OPT_DEBUG_RED |
---|
568 | if (TEST_OPT_DEBUG) |
---|
569 | { |
---|
570 | Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
---|
571 | PW->wrp(); |
---|
572 | //printf("\necart(PR)-ecart(PW): %i\n",PR->ecart-PW->ecart); |
---|
573 | //pWrite(PR->p); |
---|
574 | } |
---|
575 | #endif |
---|
576 | #endif |
---|
577 | int ret = 0; |
---|
578 | ring tailRing = PR->tailRing; |
---|
579 | kTest_L(PR,tailRing); |
---|
580 | kTest_T(PW); |
---|
581 | |
---|
582 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
---|
583 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
---|
584 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
---|
585 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
---|
586 | p_CheckPolyRing(p1, tailRing); |
---|
587 | p_CheckPolyRing(p2, tailRing); |
---|
588 | |
---|
589 | pAssume1(p2 != NULL && p1 != NULL && |
---|
590 | p_DivisibleBy(p2, p1, tailRing)); |
---|
591 | |
---|
592 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
---|
593 | (p_GetComp(p2, tailRing) == 0 && |
---|
594 | p_MaxComp(pNext(p2),tailRing) == 0)); |
---|
595 | |
---|
596 | #ifdef HAVE_PLURAL |
---|
597 | if (rIsPluralRing(currRing)) |
---|
598 | { |
---|
599 | // for the time being: we know currRing==strat->tailRing |
---|
600 | // no exp-bound checking needed |
---|
601 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
---|
602 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
---|
603 | else |
---|
604 | { |
---|
605 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
---|
606 | assume(_p != NULL); |
---|
607 | nc_PolyPolyRed(_p, p2,coef, currRing); |
---|
608 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
---|
609 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
---|
610 | } |
---|
611 | return 0; |
---|
612 | } |
---|
613 | #endif |
---|
614 | |
---|
615 | if (t2==NULL) // Divisor is just one term, therefore it will |
---|
616 | { // just cancel the leading term |
---|
617 | PR->LmDeleteAndIter(); |
---|
618 | if (coef != NULL) *coef = n_Init(1, tailRing); |
---|
619 | return 0; |
---|
620 | } |
---|
621 | |
---|
622 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
---|
623 | |
---|
624 | if (tailRing != currRing) |
---|
625 | { |
---|
626 | // check that reduction does not violate exp bound |
---|
627 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
---|
628 | { |
---|
629 | // undo changes of lm |
---|
630 | p_ExpVectorAdd(lm, p2, tailRing); |
---|
631 | if (strat == NULL) return 2; |
---|
632 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
---|
633 | tailRing = strat->tailRing; |
---|
634 | p1 = PR->GetLmTailRing(); |
---|
635 | p2 = PW->GetLmTailRing(); |
---|
636 | t2 = pNext(p2); |
---|
637 | lm = p1; |
---|
638 | p_ExpVectorSub(lm, p2, tailRing); |
---|
639 | ret = 1; |
---|
640 | } |
---|
641 | } |
---|
642 | |
---|
643 | #ifdef HAVE_SHIFTBBA |
---|
644 | poly lmRight; |
---|
645 | if (tailRing->isLPring) |
---|
646 | { |
---|
647 | assume(PR->shift == 0); |
---|
648 | assume(PW->shift == si_max(p_mFirstVblock(PW->p, tailRing) - 1, 0)); |
---|
649 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
---|
650 | } |
---|
651 | #endif |
---|
652 | |
---|
653 | // take care of coef buisness |
---|
654 | if (! n_IsOne(pGetCoeff(p2), tailRing)) |
---|
655 | { |
---|
656 | number bn = pGetCoeff(lm); |
---|
657 | number an = pGetCoeff(p2); |
---|
658 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
---|
659 | p_SetCoeff(lm, bn, tailRing); |
---|
660 | if ((ct == 0) || (ct == 2)) |
---|
661 | PR->Tail_Mult_nn(an); |
---|
662 | if (coef != NULL) *coef = an; |
---|
663 | else n_Delete(&an, tailRing); |
---|
664 | } |
---|
665 | else |
---|
666 | { |
---|
667 | if (coef != NULL) *coef = n_Init(1, tailRing); |
---|
668 | } |
---|
669 | |
---|
670 | |
---|
671 | // and finally, |
---|
672 | #ifdef HAVE_SHIFTBBA |
---|
673 | if (tailRing->isLPring) |
---|
674 | { |
---|
675 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
---|
676 | } |
---|
677 | else |
---|
678 | #endif |
---|
679 | { |
---|
680 | PR->Tail_Minus_mm_Mult_qq(lm, t2, pLength(t2) /*PW->GetpLength() - 1*/, spNoether); |
---|
681 | } |
---|
682 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
---|
683 | PR->LmDeleteAndIter(); |
---|
684 | |
---|
685 | #if defined(KDEBUG) && defined(TEST_OPT_DEBUG_RED) |
---|
686 | if (TEST_OPT_DEBUG) |
---|
687 | { |
---|
688 | Print(" to: "); PR->wrp(); Print("\n"); |
---|
689 | //printf("\nt^%i ", PR->ecart);pWrite(pHead(PR->p)); |
---|
690 | } |
---|
691 | #endif |
---|
692 | return ret; |
---|
693 | } |
---|
694 | |
---|
695 | /*************************************************************** |
---|
696 | * |
---|
697 | * Reduces PR with PW |
---|
698 | * Assumes PR != NULL, PW != NULL, Lm(PW) divides Lm(PR) |
---|
699 | * |
---|
700 | ***************************************************************/ |
---|
701 | |
---|
702 | int ksReducePolySig(LObject* PR, |
---|
703 | TObject* PW, |
---|
704 | long /*idx*/, |
---|
705 | poly spNoether, |
---|
706 | number *coef, |
---|
707 | kStrategy strat) |
---|
708 | { |
---|
709 | #ifdef KDEBUG |
---|
710 | red_count++; |
---|
711 | #ifdef TEST_OPT_DEBUG_RED |
---|
712 | if (TEST_OPT_DEBUG) |
---|
713 | { |
---|
714 | Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
---|
715 | PW->wrp(); |
---|
716 | } |
---|
717 | #endif |
---|
718 | #endif |
---|
719 | int ret = 0; |
---|
720 | ring tailRing = PR->tailRing; |
---|
721 | kTest_L(PR,tailRing); |
---|
722 | kTest_T(PW); |
---|
723 | |
---|
724 | // signature-based stuff: |
---|
725 | // checking for sig-safeness first |
---|
726 | // NOTE: This has to be done in the current ring |
---|
727 | // |
---|
728 | /********************************************** |
---|
729 | * |
---|
730 | * TODO: |
---|
731 | * -------------------------------------------- |
---|
732 | * if strat->sbaOrder == 1 |
---|
733 | * Since we are subdividing lower index and |
---|
734 | * current index reductions it is enough to |
---|
735 | * look at the polynomial part of the signature |
---|
736 | * for a check. This should speed-up checking |
---|
737 | * a lot! |
---|
738 | * if !strat->sbaOrder == 0 |
---|
739 | * We are not subdividing lower and current index |
---|
740 | * due to the fact that we are using the induced |
---|
741 | * Schreyer order |
---|
742 | * |
---|
743 | * nevertheless, this different behaviour is |
---|
744 | * taken care of by is_sigsafe |
---|
745 | * => one reduction procedure can be used for |
---|
746 | * both, the incremental and the non-incremental |
---|
747 | * attempt! |
---|
748 | * -------------------------------------------- |
---|
749 | * |
---|
750 | *********************************************/ |
---|
751 | //printf("COMPARE IDX: %ld -- %ld\n",idx,strat->currIdx); |
---|
752 | if (!PW->is_sigsafe) |
---|
753 | { |
---|
754 | poly sigMult = pCopy(PW->sig); // copy signature of reducer |
---|
755 | //#if 1 |
---|
756 | #ifdef DEBUGF5 |
---|
757 | printf("IN KSREDUCEPOLYSIG: \n"); |
---|
758 | pWrite(pHead(f1)); |
---|
759 | pWrite(pHead(f2)); |
---|
760 | pWrite(sigMult); |
---|
761 | printf("--------------\n"); |
---|
762 | #endif |
---|
763 | p_ExpVectorAddSub(sigMult,PR->GetLmCurrRing(),PW->GetLmCurrRing(),currRing); |
---|
764 | //#if 1 |
---|
765 | #ifdef DEBUGF5 |
---|
766 | printf("------------------- IN KSREDUCEPOLYSIG: --------------------\n"); |
---|
767 | pWrite(pHead(f1)); |
---|
768 | pWrite(pHead(f2)); |
---|
769 | pWrite(sigMult); |
---|
770 | pWrite(PR->sig); |
---|
771 | printf("--------------\n"); |
---|
772 | #endif |
---|
773 | int sigSafe = p_LmCmp(PR->sig,sigMult,currRing); |
---|
774 | // now we can delete the copied polynomial data used for checking for |
---|
775 | // sig-safeness of the reduction step |
---|
776 | //#if 1 |
---|
777 | #ifdef DEBUGF5 |
---|
778 | printf("%d -- %d sig\n",sigSafe,PW->is_sigsafe); |
---|
779 | |
---|
780 | #endif |
---|
781 | //pDelete(&f1); |
---|
782 | pDelete(&sigMult); |
---|
783 | // go on with the computations only if the signature of p2 is greater than the |
---|
784 | // signature of fm*p1 |
---|
785 | if(sigSafe != 1) |
---|
786 | { |
---|
787 | PR->is_redundant = TRUE; |
---|
788 | return 3; |
---|
789 | } |
---|
790 | //PW->is_sigsafe = TRUE; |
---|
791 | } |
---|
792 | PR->is_redundant = FALSE; |
---|
793 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
---|
794 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
---|
795 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
---|
796 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
---|
797 | p_CheckPolyRing(p1, tailRing); |
---|
798 | p_CheckPolyRing(p2, tailRing); |
---|
799 | |
---|
800 | pAssume1(p2 != NULL && p1 != NULL && |
---|
801 | p_DivisibleBy(p2, p1, tailRing)); |
---|
802 | |
---|
803 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
---|
804 | (p_GetComp(p2, tailRing) == 0 && |
---|
805 | p_MaxComp(pNext(p2),tailRing) == 0)); |
---|
806 | |
---|
807 | #ifdef HAVE_PLURAL |
---|
808 | if (rIsPluralRing(currRing)) |
---|
809 | { |
---|
810 | // for the time being: we know currRing==strat->tailRing |
---|
811 | // no exp-bound checking needed |
---|
812 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
---|
813 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
---|
814 | else |
---|
815 | { |
---|
816 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
---|
817 | assume(_p != NULL); |
---|
818 | nc_PolyPolyRed(_p, p2, coef, currRing); |
---|
819 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
---|
820 | PR->pLength=0; // usaully not used, GetpLength re-comoutes it if needed |
---|
821 | } |
---|
822 | return 0; |
---|
823 | } |
---|
824 | #endif |
---|
825 | |
---|
826 | if (t2==NULL) // Divisor is just one term, therefore it will |
---|
827 | { // just cancel the leading term |
---|
828 | PR->LmDeleteAndIter(); |
---|
829 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
830 | return 0; |
---|
831 | } |
---|
832 | |
---|
833 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
---|
834 | |
---|
835 | if (tailRing != currRing) |
---|
836 | { |
---|
837 | // check that reduction does not violate exp bound |
---|
838 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
---|
839 | { |
---|
840 | // undo changes of lm |
---|
841 | p_ExpVectorAdd(lm, p2, tailRing); |
---|
842 | if (strat == NULL) return 2; |
---|
843 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
---|
844 | tailRing = strat->tailRing; |
---|
845 | p1 = PR->GetLmTailRing(); |
---|
846 | p2 = PW->GetLmTailRing(); |
---|
847 | t2 = pNext(p2); |
---|
848 | lm = p1; |
---|
849 | p_ExpVectorSub(lm, p2, tailRing); |
---|
850 | ret = 1; |
---|
851 | } |
---|
852 | } |
---|
853 | |
---|
854 | #ifdef HAVE_SHIFTBBA |
---|
855 | poly lmRight; |
---|
856 | if (tailRing->isLPring) |
---|
857 | { |
---|
858 | assume(PR->shift == 0); |
---|
859 | assume(PW->shift == si_max(p_mFirstVblock(PW->p, tailRing) - 1, 0)); |
---|
860 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
---|
861 | } |
---|
862 | #endif |
---|
863 | |
---|
864 | // take care of coef buisness |
---|
865 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
---|
866 | { |
---|
867 | number bn = pGetCoeff(lm); |
---|
868 | number an = pGetCoeff(p2); |
---|
869 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
---|
870 | p_SetCoeff(lm, bn, tailRing); |
---|
871 | if ((ct == 0) || (ct == 2)) |
---|
872 | PR->Tail_Mult_nn(an); |
---|
873 | if (coef != NULL) *coef = an; |
---|
874 | else n_Delete(&an, tailRing->cf); |
---|
875 | } |
---|
876 | else |
---|
877 | { |
---|
878 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
879 | } |
---|
880 | |
---|
881 | |
---|
882 | // and finally, |
---|
883 | #ifdef HAVE_SHIFTBBA |
---|
884 | if (tailRing->isLPring) |
---|
885 | { |
---|
886 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
---|
887 | } |
---|
888 | else |
---|
889 | #endif |
---|
890 | { |
---|
891 | PR->Tail_Minus_mm_Mult_qq(lm, t2, PW->GetpLength() - 1, spNoether); |
---|
892 | } |
---|
893 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
---|
894 | PR->LmDeleteAndIter(); |
---|
895 | |
---|
896 | #if defined(KDEBUG) && defined(TEST_OPT_DEBUG_RED) |
---|
897 | if (TEST_OPT_DEBUG) |
---|
898 | { |
---|
899 | Print(" to: "); PR->wrp(); Print("\n"); |
---|
900 | } |
---|
901 | #endif |
---|
902 | return ret; |
---|
903 | } |
---|
904 | |
---|
905 | int ksReducePolySigRing(LObject* PR, |
---|
906 | TObject* PW, |
---|
907 | long /*idx*/, |
---|
908 | poly spNoether, |
---|
909 | number *coef, |
---|
910 | kStrategy strat) |
---|
911 | { |
---|
912 | #ifdef KDEBUG |
---|
913 | red_count++; |
---|
914 | #ifdef TEST_OPT_DEBUG_RED |
---|
915 | if (TEST_OPT_DEBUG) |
---|
916 | { |
---|
917 | Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
---|
918 | PW->wrp(); |
---|
919 | } |
---|
920 | #endif |
---|
921 | #endif |
---|
922 | int ret = 0; |
---|
923 | ring tailRing = PR->tailRing; |
---|
924 | kTest_L(PR,tailRing); |
---|
925 | kTest_T(PW); |
---|
926 | |
---|
927 | // signature-based stuff: |
---|
928 | // checking for sig-safeness first |
---|
929 | // NOTE: This has to be done in the current ring |
---|
930 | // |
---|
931 | /********************************************** |
---|
932 | * |
---|
933 | * TODO: |
---|
934 | * -------------------------------------------- |
---|
935 | * if strat->sbaOrder == 1 |
---|
936 | * Since we are subdividing lower index and |
---|
937 | * current index reductions it is enough to |
---|
938 | * look at the polynomial part of the signature |
---|
939 | * for a check. This should speed-up checking |
---|
940 | * a lot! |
---|
941 | * if !strat->sbaOrder == 0 |
---|
942 | * We are not subdividing lower and current index |
---|
943 | * due to the fact that we are using the induced |
---|
944 | * Schreyer order |
---|
945 | * |
---|
946 | * nevertheless, this different behaviour is |
---|
947 | * taken care of by is_sigsafe |
---|
948 | * => one reduction procedure can be used for |
---|
949 | * both, the incremental and the non-incremental |
---|
950 | * attempt! |
---|
951 | * -------------------------------------------- |
---|
952 | * |
---|
953 | *********************************************/ |
---|
954 | //printf("COMPARE IDX: %ld -- %ld\n",idx,strat->currIdx); |
---|
955 | if (!PW->is_sigsafe) |
---|
956 | { |
---|
957 | poly sigMult = pCopy(PW->sig); // copy signature of reducer |
---|
958 | //#if 1 |
---|
959 | #ifdef DEBUGF5 |
---|
960 | printf("IN KSREDUCEPOLYSIG: \n"); |
---|
961 | pWrite(pHead(f1)); |
---|
962 | pWrite(pHead(f2)); |
---|
963 | pWrite(sigMult); |
---|
964 | printf("--------------\n"); |
---|
965 | #endif |
---|
966 | p_ExpVectorAddSub(sigMult,PR->GetLmCurrRing(),PW->GetLmCurrRing(),currRing); |
---|
967 | //I have also to set the leading coeficient for sigMult (in the case of rings) |
---|
968 | if(rField_is_Ring(currRing)) |
---|
969 | { |
---|
970 | pSetCoeff(sigMult,nMult(nDiv(pGetCoeff(PR->p),pGetCoeff(PW->p)), pGetCoeff(sigMult))); |
---|
971 | if(nIsZero(pGetCoeff(sigMult))) |
---|
972 | { |
---|
973 | sigMult = NULL; |
---|
974 | } |
---|
975 | } |
---|
976 | //#if 1 |
---|
977 | #ifdef DEBUGF5 |
---|
978 | printf("------------------- IN KSREDUCEPOLYSIG: --------------------\n"); |
---|
979 | pWrite(pHead(f1)); |
---|
980 | pWrite(pHead(f2)); |
---|
981 | pWrite(sigMult); |
---|
982 | pWrite(PR->sig); |
---|
983 | printf("--------------\n"); |
---|
984 | #endif |
---|
985 | int sigSafe; |
---|
986 | if(!rField_is_Ring(currRing)) |
---|
987 | sigSafe = p_LmCmp(PR->sig,sigMult,currRing); |
---|
988 | // now we can delete the copied polynomial data used for checking for |
---|
989 | // sig-safeness of the reduction step |
---|
990 | //#if 1 |
---|
991 | #ifdef DEBUGF5 |
---|
992 | printf("%d -- %d sig\n",sigSafe,PW->is_sigsafe); |
---|
993 | |
---|
994 | #endif |
---|
995 | if(rField_is_Ring(currRing)) |
---|
996 | { |
---|
997 | // Set the sig |
---|
998 | poly origsig = pCopy(PR->sig); |
---|
999 | if(sigMult != NULL) |
---|
1000 | PR->sig = pHead(pSub(PR->sig, sigMult)); |
---|
1001 | //The sigs have the same lm, have to substract |
---|
1002 | //It may happen that now the signature is 0 (drop) |
---|
1003 | if(PR->sig == NULL) |
---|
1004 | { |
---|
1005 | strat->sigdrop=TRUE; |
---|
1006 | } |
---|
1007 | else |
---|
1008 | { |
---|
1009 | if(pLtCmp(PR->sig,origsig) == 1) |
---|
1010 | { |
---|
1011 | // do not allow this reduction - it will increase it's signature |
---|
1012 | // and the partially standard basis is just till the old sig, not the new one |
---|
1013 | PR->is_redundant = TRUE; |
---|
1014 | pDelete(&PR->sig); |
---|
1015 | PR->sig = origsig; |
---|
1016 | strat->blockred++; |
---|
1017 | return 3; |
---|
1018 | } |
---|
1019 | if(pLtCmp(PR->sig,origsig) == -1) |
---|
1020 | { |
---|
1021 | strat->sigdrop=TRUE; |
---|
1022 | } |
---|
1023 | } |
---|
1024 | pDelete(&origsig); |
---|
1025 | } |
---|
1026 | //pDelete(&f1); |
---|
1027 | // go on with the computations only if the signature of p2 is greater than the |
---|
1028 | // signature of fm*p1 |
---|
1029 | if(sigSafe != 1 && !rField_is_Ring(currRing)) |
---|
1030 | { |
---|
1031 | PR->is_redundant = TRUE; |
---|
1032 | return 3; |
---|
1033 | } |
---|
1034 | //PW->is_sigsafe = TRUE; |
---|
1035 | } |
---|
1036 | PR->is_redundant = FALSE; |
---|
1037 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
---|
1038 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
---|
1039 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
---|
1040 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
---|
1041 | p_CheckPolyRing(p1, tailRing); |
---|
1042 | p_CheckPolyRing(p2, tailRing); |
---|
1043 | |
---|
1044 | pAssume1(p2 != NULL && p1 != NULL && |
---|
1045 | p_DivisibleBy(p2, p1, tailRing)); |
---|
1046 | |
---|
1047 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
---|
1048 | (p_GetComp(p2, tailRing) == 0 && |
---|
1049 | p_MaxComp(pNext(p2),tailRing) == 0)); |
---|
1050 | |
---|
1051 | #ifdef HAVE_PLURAL |
---|
1052 | if (rIsPluralRing(currRing)) |
---|
1053 | { |
---|
1054 | // for the time being: we know currRing==strat->tailRing |
---|
1055 | // no exp-bound checking needed |
---|
1056 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
---|
1057 | if (PR->bucket!=NULL) nc_kBucketPolyRed_Z(PR->bucket, p2,coef); |
---|
1058 | else |
---|
1059 | { |
---|
1060 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
---|
1061 | assume(_p != NULL); |
---|
1062 | nc_PolyPolyRed(_p, p2, coef, currRing); |
---|
1063 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
---|
1064 | PR->pLength=0; // usaully not used, GetpLength re-comoutes it if needed |
---|
1065 | } |
---|
1066 | return 0; |
---|
1067 | } |
---|
1068 | #endif |
---|
1069 | |
---|
1070 | if (t2==NULL) // Divisor is just one term, therefore it will |
---|
1071 | { // just cancel the leading term |
---|
1072 | PR->LmDeleteAndIter(); |
---|
1073 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
1074 | return 0; |
---|
1075 | } |
---|
1076 | |
---|
1077 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
---|
1078 | |
---|
1079 | if (tailRing != currRing) |
---|
1080 | { |
---|
1081 | // check that reduction does not violate exp bound |
---|
1082 | while (PW->max_exp != NULL && !p_LmExpVectorAddIsOk(lm, PW->max_exp, tailRing)) |
---|
1083 | { |
---|
1084 | // undo changes of lm |
---|
1085 | p_ExpVectorAdd(lm, p2, tailRing); |
---|
1086 | if (strat == NULL) return 2; |
---|
1087 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
---|
1088 | tailRing = strat->tailRing; |
---|
1089 | p1 = PR->GetLmTailRing(); |
---|
1090 | p2 = PW->GetLmTailRing(); |
---|
1091 | t2 = pNext(p2); |
---|
1092 | lm = p1; |
---|
1093 | p_ExpVectorSub(lm, p2, tailRing); |
---|
1094 | ret = 1; |
---|
1095 | } |
---|
1096 | } |
---|
1097 | |
---|
1098 | #ifdef HAVE_SHIFTBBA |
---|
1099 | poly lmRight; |
---|
1100 | if (tailRing->isLPring) |
---|
1101 | { |
---|
1102 | assume(PR->shift == 0); |
---|
1103 | assume(PW->shift == si_max(p_mFirstVblock(PW->p, tailRing) - 1, 0)); |
---|
1104 | k_SplitFrame(lm, lmRight, PW->shift + 1, tailRing); |
---|
1105 | } |
---|
1106 | #endif |
---|
1107 | |
---|
1108 | // take care of coef buisness |
---|
1109 | if(rField_is_Ring(currRing)) |
---|
1110 | { |
---|
1111 | p_SetCoeff(lm, nDiv(pGetCoeff(lm),pGetCoeff(p2)), tailRing); |
---|
1112 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
1113 | } |
---|
1114 | else |
---|
1115 | { |
---|
1116 | if (! n_IsOne(pGetCoeff(p2), tailRing->cf)) |
---|
1117 | { |
---|
1118 | number bn = pGetCoeff(lm); |
---|
1119 | number an = pGetCoeff(p2); |
---|
1120 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
---|
1121 | p_SetCoeff(lm, bn, tailRing); |
---|
1122 | if (((ct == 0) || (ct == 2))) |
---|
1123 | PR->Tail_Mult_nn(an); |
---|
1124 | if (coef != NULL) *coef = an; |
---|
1125 | else n_Delete(&an, tailRing->cf); |
---|
1126 | } |
---|
1127 | else |
---|
1128 | { |
---|
1129 | if (coef != NULL) *coef = n_Init(1, tailRing->cf); |
---|
1130 | } |
---|
1131 | } |
---|
1132 | |
---|
1133 | // and finally, |
---|
1134 | #ifdef HAVE_SHIFTBBA |
---|
1135 | if (tailRing->isLPring) |
---|
1136 | { |
---|
1137 | PR->Tail_Minus_mm_Mult_qq(lm, tailRing->p_Procs->pp_Mult_mm(t2, lmRight, tailRing), pLength(t2), spNoether); |
---|
1138 | } |
---|
1139 | else |
---|
1140 | #endif |
---|
1141 | { |
---|
1142 | PR->Tail_Minus_mm_Mult_qq(lm, t2, PW->GetpLength() - 1, spNoether); |
---|
1143 | } |
---|
1144 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
---|
1145 | PR->LmDeleteAndIter(); |
---|
1146 | |
---|
1147 | #if defined(KDEBUG) && defined(TEST_OPT_DEBUG_RED) |
---|
1148 | if (TEST_OPT_DEBUG) |
---|
1149 | { |
---|
1150 | Print(" to: "); PR->wrp(); Print("\n"); |
---|
1151 | } |
---|
1152 | #endif |
---|
1153 | return ret; |
---|
1154 | } |
---|
1155 | |
---|
1156 | /*************************************************************** |
---|
1157 | * |
---|
1158 | * Creates S-Poly of p1 and p2 |
---|
1159 | * |
---|
1160 | * |
---|
1161 | ***************************************************************/ |
---|
1162 | void ksCreateSpoly(LObject* Pair, poly spNoether, |
---|
1163 | int use_buckets, ring tailRing, |
---|
1164 | poly m1, poly m2, TObject** R) |
---|
1165 | { |
---|
1166 | #ifdef KDEBUG |
---|
1167 | create_count++; |
---|
1168 | #endif |
---|
1169 | kTest_L(Pair,tailRing); |
---|
1170 | poly p1 = Pair->p1; |
---|
1171 | poly p2 = Pair->p2; |
---|
1172 | Pair->tailRing = tailRing; |
---|
1173 | |
---|
1174 | assume(p1 != NULL); |
---|
1175 | assume(p2 != NULL); |
---|
1176 | assume(tailRing != NULL); |
---|
1177 | |
---|
1178 | poly a1 = pNext(p1), a2 = pNext(p2); |
---|
1179 | number lc1 = pGetCoeff(p1), lc2 = pGetCoeff(p2); |
---|
1180 | int co=0/*, ct = ksCheckCoeff(&lc1, &lc2, currRing->cf)*/; // gcd and zero divisors |
---|
1181 | (void) ksCheckCoeff(&lc1, &lc2, currRing->cf); |
---|
1182 | |
---|
1183 | int l1=0, l2=0; |
---|
1184 | |
---|
1185 | if (currRing->pCompIndex >= 0) |
---|
1186 | { |
---|
1187 | if (__p_GetComp(p1, currRing)!=__p_GetComp(p2, currRing)) |
---|
1188 | { |
---|
1189 | if (__p_GetComp(p1, currRing)==0) |
---|
1190 | { |
---|
1191 | co=1; |
---|
1192 | p_SetCompP(p1,__p_GetComp(p2, currRing), currRing, tailRing); |
---|
1193 | } |
---|
1194 | else |
---|
1195 | { |
---|
1196 | co=2; |
---|
1197 | p_SetCompP(p2, __p_GetComp(p1, currRing), currRing, tailRing); |
---|
1198 | } |
---|
1199 | } |
---|
1200 | } |
---|
1201 | |
---|
1202 | // get m1 = LCM(LM(p1), LM(p2))/LM(p1) |
---|
1203 | // m2 = LCM(LM(p1), LM(p2))/LM(p2) |
---|
1204 | if (m1 == NULL) |
---|
1205 | k_GetLeadTerms(p1, p2, currRing, m1, m2, tailRing); |
---|
1206 | |
---|
1207 | #ifdef HAVE_SHIFTBBA |
---|
1208 | poly m12, m22; |
---|
1209 | if (tailRing->isLPring) |
---|
1210 | { |
---|
1211 | assume(p_mFirstVblock(p1, tailRing) <= 1 || p_mFirstVblock(p2, tailRing) <= 1); |
---|
1212 | k_SplitFrame(m1, m12, si_max(p_mFirstVblock(p1, tailRing), 1), tailRing); |
---|
1213 | k_SplitFrame(m2, m22, si_max(p_mFirstVblock(p2, tailRing), 1), tailRing); |
---|
1214 | // manually free the coeffs, because pSetCoeff0 is used in the next step |
---|
1215 | n_Delete(&(m1->coef), tailRing->cf); |
---|
1216 | n_Delete(&(m2->coef), tailRing->cf); |
---|
1217 | } |
---|
1218 | #endif |
---|
1219 | |
---|
1220 | pSetCoeff0(m1, lc2); |
---|
1221 | pSetCoeff0(m2, lc1); // and now, m1 * LT(p1) == m2 * LT(p2) |
---|
1222 | |
---|
1223 | if (R != NULL) |
---|
1224 | { |
---|
1225 | if (Pair->i_r1 == -1) |
---|
1226 | { |
---|
1227 | l1 = pLength(p1) - 1; |
---|
1228 | } |
---|
1229 | else |
---|
1230 | { |
---|
1231 | l1 = (R[Pair->i_r1])->GetpLength() - 1; |
---|
1232 | } |
---|
1233 | if ((Pair->i_r2 == -1)||(R[Pair->i_r2]==NULL)) |
---|
1234 | { |
---|
1235 | l2 = pLength(p2) - 1; |
---|
1236 | } |
---|
1237 | else |
---|
1238 | { |
---|
1239 | l2 = (R[Pair->i_r2])->GetpLength() - 1; |
---|
1240 | } |
---|
1241 | } |
---|
1242 | |
---|
1243 | // get m2 * a2 |
---|
1244 | if (spNoether != NULL) |
---|
1245 | { |
---|
1246 | l2 = -1; |
---|
1247 | a2 = tailRing->p_Procs->pp_Mult_mm_Noether(a2, m2, spNoether, l2, tailRing); |
---|
1248 | assume(l2 == pLength(a2)); |
---|
1249 | } |
---|
1250 | else |
---|
1251 | #ifdef HAVE_SHIFTBBA |
---|
1252 | if (tailRing->isLPring) |
---|
1253 | { |
---|
1254 | // m2*a2*m22 |
---|
1255 | a2 = tailRing->p_Procs->pp_Mult_mm(tailRing->p_Procs->pp_mm_Mult(a2, m2, tailRing), m22, tailRing); |
---|
1256 | } |
---|
1257 | else |
---|
1258 | #endif |
---|
1259 | { |
---|
1260 | a2 = tailRing->p_Procs->pp_Mult_mm(a2, m2, tailRing); |
---|
1261 | } |
---|
1262 | #ifdef HAVE_RINGS |
---|
1263 | if (!(rField_is_Domain(currRing))) l2 = pLength(a2); |
---|
1264 | #endif |
---|
1265 | |
---|
1266 | Pair->SetLmTail(m2, a2, l2, use_buckets, tailRing); |
---|
1267 | |
---|
1268 | #ifdef HAVE_SHIFTBBA |
---|
1269 | if (tailRing->isLPring) |
---|
1270 | { |
---|
1271 | // get m2*a2*m22 - m1*a1*m12 |
---|
1272 | Pair->Tail_Minus_mm_Mult_qq(m1, tailRing->p_Procs->pp_Mult_mm(a1, m12, tailRing), l1, spNoether); |
---|
1273 | } |
---|
1274 | else |
---|
1275 | #endif |
---|
1276 | { |
---|
1277 | // get m2*a2 - m1*a1 |
---|
1278 | Pair->Tail_Minus_mm_Mult_qq(m1, a1, l1, spNoether); |
---|
1279 | } |
---|
1280 | |
---|
1281 | // Clean-up time |
---|
1282 | Pair->LmDeleteAndIter(); |
---|
1283 | p_LmDelete(m1, tailRing); |
---|
1284 | #ifdef HAVE_SHIFTBBA |
---|
1285 | if (tailRing->isLPring) |
---|
1286 | { |
---|
1287 | // just to be sure, check that the shift is correct |
---|
1288 | assume(Pair->shift == 0); |
---|
1289 | assume(si_max(p_mFirstVblock(Pair->p, tailRing) - 1, 0) == Pair->shift); // == 0 |
---|
1290 | |
---|
1291 | p_LmDelete(m12, tailRing); |
---|
1292 | p_LmDelete(m22, tailRing); |
---|
1293 | // m2 is already deleted |
---|
1294 | } |
---|
1295 | #endif |
---|
1296 | |
---|
1297 | if (co != 0) |
---|
1298 | { |
---|
1299 | if (co==1) |
---|
1300 | { |
---|
1301 | p_SetCompP(p1,0, currRing, tailRing); |
---|
1302 | } |
---|
1303 | else |
---|
1304 | { |
---|
1305 | p_SetCompP(p2,0, currRing, tailRing); |
---|
1306 | } |
---|
1307 | } |
---|
1308 | } |
---|
1309 | |
---|
1310 | int ksReducePolyTail(LObject* PR, TObject* PW, poly Current, poly spNoether) |
---|
1311 | { |
---|
1312 | BOOLEAN ret; |
---|
1313 | number coef; |
---|
1314 | poly Lp = PR->GetLmCurrRing(); |
---|
1315 | poly Save = PW->GetLmCurrRing(); |
---|
1316 | |
---|
1317 | kTest_L(PR,PR->tailRing); |
---|
1318 | kTest_T(PW); |
---|
1319 | pAssume(pIsMonomOf(Lp, Current)); |
---|
1320 | |
---|
1321 | assume(Lp != NULL && Current != NULL && pNext(Current) != NULL); |
---|
1322 | assume(PR->bucket == NULL); |
---|
1323 | |
---|
1324 | LObject Red(pNext(Current), PR->tailRing); |
---|
1325 | TObject With(PW, Lp == Save); |
---|
1326 | |
---|
1327 | pAssume(!pHaveCommonMonoms(Red.p, With.p)); |
---|
1328 | ret = ksReducePoly(&Red, &With, spNoether, &coef); |
---|
1329 | |
---|
1330 | if (!ret) |
---|
1331 | { |
---|
1332 | if (! n_IsOne(coef, currRing->cf)) |
---|
1333 | { |
---|
1334 | pNext(Current) = NULL; |
---|
1335 | if (Current == PR->p && PR->t_p != NULL) |
---|
1336 | pNext(PR->t_p) = NULL; |
---|
1337 | PR->Mult_nn(coef); |
---|
1338 | } |
---|
1339 | |
---|
1340 | n_Delete(&coef, currRing->cf); |
---|
1341 | pNext(Current) = Red.GetLmTailRing(); |
---|
1342 | if (Current == PR->p && PR->t_p != NULL) |
---|
1343 | pNext(PR->t_p) = pNext(Current); |
---|
1344 | } |
---|
1345 | |
---|
1346 | if (Lp == Save) |
---|
1347 | With.Delete(); |
---|
1348 | |
---|
1349 | return ret; |
---|
1350 | } |
---|
1351 | |
---|
1352 | int ksReducePolyTailBound(LObject* PR, TObject* PW, int bound, poly Current, poly spNoether) |
---|
1353 | { |
---|
1354 | BOOLEAN ret; |
---|
1355 | number coef; |
---|
1356 | poly Lp = PR->GetLmCurrRing(); |
---|
1357 | poly Save = PW->GetLmCurrRing(); |
---|
1358 | |
---|
1359 | kTest_L(PR,PR->tailRing); |
---|
1360 | kTest_T(PW); |
---|
1361 | pAssume(pIsMonomOf(Lp, Current)); |
---|
1362 | |
---|
1363 | assume(Lp != NULL && Current != NULL && pNext(Current) != NULL); |
---|
1364 | assume(PR->bucket == NULL); |
---|
1365 | |
---|
1366 | LObject Red(pNext(Current), PR->tailRing); |
---|
1367 | TObject With(PW, Lp == Save); |
---|
1368 | |
---|
1369 | pAssume(!pHaveCommonMonoms(Red.p, With.p)); |
---|
1370 | ret = ksReducePolyBound(&Red, &With,bound, spNoether, &coef); |
---|
1371 | |
---|
1372 | if (!ret) |
---|
1373 | { |
---|
1374 | if (! n_IsOne(coef, currRing)) |
---|
1375 | { |
---|
1376 | pNext(Current) = NULL; |
---|
1377 | if (Current == PR->p && PR->t_p != NULL) |
---|
1378 | pNext(PR->t_p) = NULL; |
---|
1379 | PR->Mult_nn(coef); |
---|
1380 | } |
---|
1381 | |
---|
1382 | n_Delete(&coef, currRing); |
---|
1383 | pNext(Current) = Red.GetLmTailRing(); |
---|
1384 | if (Current == PR->p && PR->t_p != NULL) |
---|
1385 | pNext(PR->t_p) = pNext(Current); |
---|
1386 | } |
---|
1387 | |
---|
1388 | if (Lp == Save) |
---|
1389 | With.Delete(); |
---|
1390 | |
---|
1391 | return ret; |
---|
1392 | } |
---|
1393 | |
---|
1394 | /*************************************************************** |
---|
1395 | * |
---|
1396 | * Auxillary Routines |
---|
1397 | * |
---|
1398 | * |
---|
1399 | ***************************************************************/ |
---|
1400 | |
---|
1401 | /*2 |
---|
1402 | * creates the leading term of the S-polynomial of p1 and p2 |
---|
1403 | * do not destroy p1 and p2 |
---|
1404 | * remarks: |
---|
1405 | * 1. the coefficient is 0 (p_Init) |
---|
1406 | * 1. a) in the case of coefficient ring, the coefficient is calculated |
---|
1407 | * 2. pNext is undefined |
---|
1408 | */ |
---|
1409 | //static void bbb() { int i=0; } |
---|
1410 | poly ksCreateShortSpoly(poly p1, poly p2, ring tailRing) |
---|
1411 | { |
---|
1412 | poly a1 = pNext(p1), a2 = pNext(p2); |
---|
1413 | #ifdef HAVE_SHIFTBBA |
---|
1414 | int shift1, shift2; |
---|
1415 | if (tailRing->isLPring) { |
---|
1416 | // assume: LM is shifted, tail unshifted |
---|
1417 | assume(p_FirstVblock(a1, tailRing) <= 1); |
---|
1418 | assume(p_FirstVblock(a2, tailRing) <= 1); |
---|
1419 | // save the shift of the LM so we can shift the other monomials on demand |
---|
1420 | shift1 = p_mFirstVblock(p1, tailRing) - 1; |
---|
1421 | shift2 = p_mFirstVblock(p2, tailRing) - 1; |
---|
1422 | } |
---|
1423 | #endif |
---|
1424 | long c1=p_GetComp(p1, currRing),c2=p_GetComp(p2, currRing); |
---|
1425 | long c; |
---|
1426 | poly m1,m2; |
---|
1427 | number t1 = NULL,t2 = NULL; |
---|
1428 | int cm,i; |
---|
1429 | BOOLEAN equal; |
---|
1430 | |
---|
1431 | #ifdef HAVE_RINGS |
---|
1432 | BOOLEAN is_Ring=rField_is_Ring(currRing); |
---|
1433 | number lc1 = pGetCoeff(p1), lc2 = pGetCoeff(p2); |
---|
1434 | if (is_Ring) |
---|
1435 | { |
---|
1436 | ksCheckCoeff(&lc1, &lc2, currRing->cf); // gcd and zero divisors |
---|
1437 | if (a1 != NULL) t2 = nMult(pGetCoeff(a1),lc2); |
---|
1438 | if (a2 != NULL) t1 = nMult(pGetCoeff(a2),lc1); |
---|
1439 | while (a1 != NULL && nIsZero(t2)) |
---|
1440 | { |
---|
1441 | pIter(a1); |
---|
1442 | nDelete(&t2); |
---|
1443 | if (a1 != NULL) t2 = nMult(pGetCoeff(a1),lc2); |
---|
1444 | } |
---|
1445 | while (a2 != NULL && nIsZero(t1)) |
---|
1446 | { |
---|
1447 | pIter(a2); |
---|
1448 | nDelete(&t1); |
---|
1449 | if (a2 != NULL) t1 = nMult(pGetCoeff(a2),lc1); |
---|
1450 | } |
---|
1451 | } |
---|
1452 | #endif |
---|
1453 | |
---|
1454 | #ifdef HAVE_SHIFTBBA |
---|
1455 | // shift the next monomial on demand |
---|
1456 | if (tailRing->isLPring) |
---|
1457 | { |
---|
1458 | a1 = p_LPCopyAndShiftLM(a1, shift1, tailRing); |
---|
1459 | a2 = p_LPCopyAndShiftLM(a2, shift2, tailRing); |
---|
1460 | } |
---|
1461 | #endif |
---|
1462 | if (a1==NULL) |
---|
1463 | { |
---|
1464 | if(a2!=NULL) |
---|
1465 | { |
---|
1466 | m2=p_Init(currRing); |
---|
1467 | x2: |
---|
1468 | for (i = (currRing->N); i; i--) |
---|
1469 | { |
---|
1470 | c = p_GetExpDiff(p1, p2,i, currRing); |
---|
1471 | if (c>0) |
---|
1472 | { |
---|
1473 | p_SetExp(m2,i,(c+p_GetExp(a2,i,tailRing)),currRing); |
---|
1474 | } |
---|
1475 | else |
---|
1476 | { |
---|
1477 | p_SetExp(m2,i,p_GetExp(a2,i,tailRing),currRing); |
---|
1478 | } |
---|
1479 | } |
---|
1480 | if ((c1==c2)||(c2!=0)) |
---|
1481 | { |
---|
1482 | p_SetComp(m2,p_GetComp(a2,tailRing), currRing); |
---|
1483 | } |
---|
1484 | else |
---|
1485 | { |
---|
1486 | p_SetComp(m2,c1,currRing); |
---|
1487 | } |
---|
1488 | p_Setm(m2, currRing); |
---|
1489 | #ifdef HAVE_RINGS |
---|
1490 | if (is_Ring) |
---|
1491 | { |
---|
1492 | nDelete(&lc1); |
---|
1493 | nDelete(&lc2); |
---|
1494 | nDelete(&t2); |
---|
1495 | pSetCoeff0(m2, t1); |
---|
1496 | } |
---|
1497 | #endif |
---|
1498 | return m2; |
---|
1499 | } |
---|
1500 | else |
---|
1501 | { |
---|
1502 | #ifdef HAVE_RINGS |
---|
1503 | if (is_Ring) |
---|
1504 | { |
---|
1505 | nDelete(&lc1); |
---|
1506 | nDelete(&lc2); |
---|
1507 | nDelete(&t1); |
---|
1508 | nDelete(&t2); |
---|
1509 | } |
---|
1510 | #endif |
---|
1511 | return NULL; |
---|
1512 | } |
---|
1513 | } |
---|
1514 | if (a2==NULL) |
---|
1515 | { |
---|
1516 | m1=p_Init(currRing); |
---|
1517 | x1: |
---|
1518 | for (i = (currRing->N); i; i--) |
---|
1519 | { |
---|
1520 | c = p_GetExpDiff(p2, p1,i,currRing); |
---|
1521 | if (c>0) |
---|
1522 | { |
---|
1523 | p_SetExp(m1,i,(c+p_GetExp(a1,i, tailRing)),currRing); |
---|
1524 | } |
---|
1525 | else |
---|
1526 | { |
---|
1527 | p_SetExp(m1,i,p_GetExp(a1,i, tailRing), currRing); |
---|
1528 | } |
---|
1529 | } |
---|
1530 | if ((c1==c2)||(c1!=0)) |
---|
1531 | { |
---|
1532 | p_SetComp(m1,p_GetComp(a1,tailRing),currRing); |
---|
1533 | } |
---|
1534 | else |
---|
1535 | { |
---|
1536 | p_SetComp(m1,c2,currRing); |
---|
1537 | } |
---|
1538 | p_Setm(m1, currRing); |
---|
1539 | #ifdef HAVE_RINGS |
---|
1540 | if (is_Ring) |
---|
1541 | { |
---|
1542 | pSetCoeff0(m1, t2); |
---|
1543 | nDelete(&lc1); |
---|
1544 | nDelete(&lc2); |
---|
1545 | nDelete(&t1); |
---|
1546 | } |
---|
1547 | #endif |
---|
1548 | return m1; |
---|
1549 | } |
---|
1550 | m1 = p_Init(currRing); |
---|
1551 | m2 = p_Init(currRing); |
---|
1552 | loop |
---|
1553 | { |
---|
1554 | for (i = (currRing->N); i; i--) |
---|
1555 | { |
---|
1556 | c = p_GetExpDiff(p1, p2,i,currRing); |
---|
1557 | if (c > 0) |
---|
1558 | { |
---|
1559 | p_SetExp(m2,i,(c+p_GetExp(a2,i,tailRing)), currRing); |
---|
1560 | p_SetExp(m1,i,p_GetExp(a1,i, tailRing), currRing); |
---|
1561 | } |
---|
1562 | else |
---|
1563 | { |
---|
1564 | p_SetExp(m1,i,(p_GetExp(a1,i,tailRing)-c), currRing); |
---|
1565 | p_SetExp(m2,i,p_GetExp(a2,i, tailRing), currRing); |
---|
1566 | } |
---|
1567 | } |
---|
1568 | if(c1==c2) |
---|
1569 | { |
---|
1570 | p_SetComp(m1,p_GetComp(a1, tailRing), currRing); |
---|
1571 | p_SetComp(m2,p_GetComp(a2, tailRing), currRing); |
---|
1572 | } |
---|
1573 | else |
---|
1574 | { |
---|
1575 | if(c1!=0) |
---|
1576 | { |
---|
1577 | p_SetComp(m1,p_GetComp(a1, tailRing), currRing); |
---|
1578 | p_SetComp(m2,c1, currRing); |
---|
1579 | } |
---|
1580 | else |
---|
1581 | { |
---|
1582 | p_SetComp(m2,p_GetComp(a2, tailRing), currRing); |
---|
1583 | p_SetComp(m1,c2, currRing); |
---|
1584 | } |
---|
1585 | } |
---|
1586 | p_Setm(m1,currRing); |
---|
1587 | p_Setm(m2,currRing); |
---|
1588 | cm = p_LmCmp(m1, m2,currRing); |
---|
1589 | if (cm!=0) |
---|
1590 | { |
---|
1591 | if(cm==1) |
---|
1592 | { |
---|
1593 | p_LmFree(m2,currRing); |
---|
1594 | #ifdef HAVE_RINGS |
---|
1595 | if (is_Ring) |
---|
1596 | { |
---|
1597 | pSetCoeff0(m1, t2); |
---|
1598 | nDelete(&lc1); |
---|
1599 | nDelete(&lc2); |
---|
1600 | nDelete(&t1); |
---|
1601 | } |
---|
1602 | #endif |
---|
1603 | return m1; |
---|
1604 | } |
---|
1605 | else |
---|
1606 | { |
---|
1607 | p_LmFree(m1,currRing); |
---|
1608 | #ifdef HAVE_RINGS |
---|
1609 | if (is_Ring) |
---|
1610 | { |
---|
1611 | pSetCoeff0(m2, t1); |
---|
1612 | nDelete(&lc1); |
---|
1613 | nDelete(&lc2); |
---|
1614 | nDelete(&t2); |
---|
1615 | } |
---|
1616 | #endif |
---|
1617 | return m2; |
---|
1618 | } |
---|
1619 | } |
---|
1620 | #ifdef HAVE_RINGS |
---|
1621 | if (is_Ring) |
---|
1622 | { |
---|
1623 | equal = nEqual(t1,t2); |
---|
1624 | } |
---|
1625 | else |
---|
1626 | #endif |
---|
1627 | { |
---|
1628 | t1 = nMult(pGetCoeff(a2),pGetCoeff(p1)); |
---|
1629 | t2 = nMult(pGetCoeff(a1),pGetCoeff(p2)); |
---|
1630 | equal = nEqual(t1,t2); |
---|
1631 | nDelete(&t2); |
---|
1632 | nDelete(&t1); |
---|
1633 | } |
---|
1634 | if (!equal) |
---|
1635 | { |
---|
1636 | p_LmFree(m2,currRing); |
---|
1637 | #ifdef HAVE_RINGS |
---|
1638 | if (is_Ring) |
---|
1639 | { |
---|
1640 | pSetCoeff0(m1, nSub(t1, t2)); |
---|
1641 | nDelete(&lc1); |
---|
1642 | nDelete(&lc2); |
---|
1643 | nDelete(&t1); |
---|
1644 | nDelete(&t2); |
---|
1645 | } |
---|
1646 | #endif |
---|
1647 | return m1; |
---|
1648 | } |
---|
1649 | pIter(a1); |
---|
1650 | pIter(a2); |
---|
1651 | #ifdef HAVE_RINGS |
---|
1652 | if (is_Ring) |
---|
1653 | { |
---|
1654 | if (a2 != NULL) |
---|
1655 | { |
---|
1656 | nDelete(&t1); |
---|
1657 | t1 = nMult(pGetCoeff(a2),lc1); |
---|
1658 | } |
---|
1659 | if (a1 != NULL) |
---|
1660 | { |
---|
1661 | nDelete(&t2); |
---|
1662 | t2 = nMult(pGetCoeff(a1),lc2); |
---|
1663 | } |
---|
1664 | while ((a1 != NULL) && nIsZero(t2)) |
---|
1665 | { |
---|
1666 | pIter(a1); |
---|
1667 | if (a1 != NULL) |
---|
1668 | { |
---|
1669 | nDelete(&t2); |
---|
1670 | t2 = nMult(pGetCoeff(a1),lc2); |
---|
1671 | } |
---|
1672 | } |
---|
1673 | while ((a2 != NULL) && nIsZero(t1)) |
---|
1674 | { |
---|
1675 | pIter(a2); |
---|
1676 | if (a2 != NULL) |
---|
1677 | { |
---|
1678 | nDelete(&t1); |
---|
1679 | t1 = nMult(pGetCoeff(a2),lc1); |
---|
1680 | } |
---|
1681 | } |
---|
1682 | } |
---|
1683 | #endif |
---|
1684 | #ifdef HAVE_SHIFTBBA |
---|
1685 | if (tailRing->isLPring) |
---|
1686 | { |
---|
1687 | a1 = p_LPCopyAndShiftLM(a1, shift1, tailRing); |
---|
1688 | a2 = p_LPCopyAndShiftLM(a2, shift2, tailRing); |
---|
1689 | } |
---|
1690 | #endif |
---|
1691 | if (a2==NULL) |
---|
1692 | { |
---|
1693 | p_LmFree(m2,currRing); |
---|
1694 | if (a1==NULL) |
---|
1695 | { |
---|
1696 | #ifdef HAVE_RINGS |
---|
1697 | if (is_Ring) |
---|
1698 | { |
---|
1699 | nDelete(&lc1); |
---|
1700 | nDelete(&lc2); |
---|
1701 | nDelete(&t1); |
---|
1702 | nDelete(&t2); |
---|
1703 | } |
---|
1704 | #endif |
---|
1705 | p_LmFree(m1,currRing); |
---|
1706 | return NULL; |
---|
1707 | } |
---|
1708 | goto x1; |
---|
1709 | } |
---|
1710 | if (a1==NULL) |
---|
1711 | { |
---|
1712 | p_LmFree(m1,currRing); |
---|
1713 | goto x2; |
---|
1714 | } |
---|
1715 | } |
---|
1716 | } |
---|