1 | /**************************************** |
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2 | * Computer Algebra System SINGULAR * |
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3 | ****************************************/ |
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4 | /* $Id: kstd2.cc,v 1.94 2009-06-19 15:31:48 levandov Exp $ */ |
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5 | /* |
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6 | * ABSTRACT - Kernel: alg. of Buchberger |
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7 | */ |
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8 | |
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9 | // #define PDEBUG 2 |
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10 | // define to enable tailRings |
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11 | #define HAVE_TAIL_RING |
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12 | // define if no buckets should be used |
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13 | // #define NO_BUCKETS |
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14 | |
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15 | #include "mod2.h" |
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16 | #ifdef HAVE_PLURAL |
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17 | #define PLURAL_INTERNAL_DECLARATIONS 1 |
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18 | #endif |
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19 | #include "kutil.h" |
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20 | #include "structs.h" |
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21 | #include "omalloc.h" |
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22 | #include "polys.h" |
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23 | #include "ideals.h" |
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24 | #include "febase.h" |
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25 | #include "kstd1.h" |
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26 | #include "khstd.h" |
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27 | #include "kbuckets.h" |
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28 | //#include "cntrlc.h" |
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29 | #include "weight.h" |
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30 | #include "intvec.h" |
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31 | #ifdef HAVE_PLURAL |
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32 | #include "gring.h" |
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33 | #endif |
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34 | // #include "timer.h" |
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35 | |
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36 | /* shiftgb stuff */ |
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37 | #include "shiftgb.h" |
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38 | |
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39 | int (*test_PosInT)(const TSet T,const int tl,LObject &h); |
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40 | int (*test_PosInL)(const LSet set, const int length, |
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41 | LObject* L,const kStrategy strat); |
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42 | |
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43 | // return -1 if no divisor is found |
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44 | // number of first divisor, otherwise |
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45 | int kFindDivisibleByInT(const TSet &T, const unsigned long* sevT, |
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46 | const int tl, const LObject* L, const int start) |
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47 | { |
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48 | unsigned long not_sev = ~L->sev; |
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49 | int j = start; |
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50 | poly p=L->p; |
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51 | ring r=currRing; |
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52 | if (p==NULL) { r=L->tailRing; p=L->t_p; } |
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53 | L->GetLm(p, r); |
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54 | |
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55 | pAssume(~not_sev == p_GetShortExpVector(p, r)); |
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56 | |
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57 | if (r == currRing) |
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58 | { |
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59 | loop |
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60 | { |
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61 | if (j > tl) return -1; |
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62 | #if defined(PDEBUG) || defined(PDIV_DEBUG) |
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63 | if (p_LmShortDivisibleBy(T[j].p, sevT[j], |
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64 | p, not_sev, r)) |
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65 | return j; |
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66 | #else |
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67 | if (!(sevT[j] & not_sev) && |
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68 | p_LmDivisibleBy(T[j].p, p, r)) |
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69 | return j; |
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70 | #endif |
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71 | j++; |
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72 | } |
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73 | } |
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74 | else |
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75 | { |
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76 | loop |
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77 | { |
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78 | if (j > tl) return -1; |
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79 | #if defined(PDEBUG) || defined(PDIV_DEBUG) |
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80 | if (p_LmShortDivisibleBy(T[j].t_p, sevT[j], |
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81 | p, not_sev, r)) |
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82 | return j; |
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83 | #else |
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84 | if (!(sevT[j] & not_sev) && |
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85 | p_LmDivisibleBy(T[j].t_p, p, r)) |
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86 | return j; |
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87 | #endif |
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88 | j++; |
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89 | } |
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90 | } |
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91 | } |
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92 | |
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93 | // same as above, only with set S |
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94 | int kFindDivisibleByInS(const kStrategy strat, int* max_ind, LObject* L) |
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95 | { |
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96 | unsigned long not_sev = ~L->sev; |
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97 | poly p = L->GetLmCurrRing(); |
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98 | int j = 0; |
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99 | |
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100 | pAssume(~not_sev == p_GetShortExpVector(p, currRing)); |
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101 | #if 1 |
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102 | int ende; |
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103 | if (strat->ak>0) ende=strat->sl; |
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104 | else ende=posInS(strat,*max_ind,p,0)+1; |
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105 | if (ende>(*max_ind)) ende=(*max_ind); |
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106 | #else |
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107 | int ende=strat->sl; |
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108 | #endif |
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109 | (*max_ind)=ende; |
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110 | loop |
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111 | { |
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112 | if (j > ende) return -1; |
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113 | #if defined(PDEBUG) || defined(PDIV_DEBUG) |
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114 | if (p_LmShortDivisibleBy(strat->S[j], strat->sevS[j], |
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115 | p, not_sev, currRing)) |
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116 | return j; |
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117 | #else |
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118 | if ( !(strat->sevS[j] & not_sev) && |
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119 | p_LmDivisibleBy(strat->S[j], p, currRing)) |
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120 | return j; |
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121 | #endif |
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122 | j++; |
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123 | } |
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124 | } |
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125 | |
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126 | int kFindNextDivisibleByInS(const kStrategy strat, int start,int max_ind, LObject* L) |
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127 | { |
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128 | unsigned long not_sev = ~L->sev; |
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129 | poly p = L->GetLmCurrRing(); |
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130 | int j = start; |
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131 | |
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132 | pAssume(~not_sev == p_GetShortExpVector(p, currRing)); |
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133 | #if 1 |
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134 | int ende=max_ind; |
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135 | #else |
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136 | int ende=strat->sl; |
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137 | #endif |
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138 | loop |
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139 | { |
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140 | if (j > ende) return -1; |
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141 | #if defined(PDEBUG) || defined(PDIV_DEBUG) |
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142 | if (p_LmShortDivisibleBy(strat->S[j], strat->sevS[j], |
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143 | p, not_sev, currRing)) |
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144 | return j; |
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145 | #else |
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146 | if ( !(strat->sevS[j] & not_sev) && |
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147 | p_LmDivisibleBy(strat->S[j], p, currRing)) |
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148 | return j; |
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149 | #endif |
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150 | j++; |
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151 | } |
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152 | } |
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153 | |
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154 | #ifdef HAVE_RINGS |
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155 | NATNUMBER factorial(NATNUMBER arg) |
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156 | { |
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157 | NATNUMBER tmp = 1; arg++; |
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158 | for (int i = 2; i < arg; i++) |
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159 | { |
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160 | tmp *= i; |
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161 | } |
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162 | return tmp; |
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163 | } |
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164 | |
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165 | poly kFindZeroPoly(poly input_p, ring leadRing, ring tailRing) |
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166 | { |
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167 | // m = currRing->ch |
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168 | |
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169 | if (input_p == NULL) return NULL; |
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170 | |
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171 | poly p = input_p; |
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172 | poly zeroPoly = NULL; |
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173 | NATNUMBER a = (NATNUMBER) pGetCoeff(p); |
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174 | |
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175 | int k_ind2 = 0; |
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176 | int a_ind2 = ind2(a); |
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177 | |
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178 | NATNUMBER k = 1; |
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179 | // of interest is only k_ind2, special routine for improvement ... TODO OLIVER |
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180 | for (int i = 1; i <= leadRing->N; i++) |
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181 | { |
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182 | k_ind2 = k_ind2 + ind_fact_2(p_GetExp(p, i, leadRing)); |
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183 | } |
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184 | |
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185 | a = (NATNUMBER) pGetCoeff(p); |
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186 | |
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187 | number tmp1; |
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188 | poly tmp2, tmp3; |
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189 | poly lead_mult = p_ISet(1, tailRing); |
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190 | if (leadRing->ch <= k_ind2 + a_ind2) |
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191 | { |
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192 | int too_much = k_ind2 + a_ind2 - leadRing->ch; |
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193 | int s_exp; |
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194 | zeroPoly = p_ISet(a, tailRing); |
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195 | for (int i = 1; i <= leadRing->N; i++) |
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196 | { |
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197 | s_exp = p_GetExp(p, i,leadRing); |
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198 | if (s_exp % 2 != 0) |
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199 | { |
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200 | s_exp = s_exp - 1; |
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201 | } |
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202 | while ( (0 < ind2(s_exp)) && (ind2(s_exp) <= too_much) ) |
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203 | { |
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204 | too_much = too_much - ind2(s_exp); |
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205 | s_exp = s_exp - 2; |
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206 | } |
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207 | p_SetExp(lead_mult, i, p_GetExp(p, i,leadRing) - s_exp, tailRing); |
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208 | for (NATNUMBER j = 1; j <= s_exp; j++) |
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209 | { |
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210 | tmp1 = nInit(j); |
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211 | tmp2 = p_ISet(1, tailRing); |
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212 | p_SetExp(tmp2, i, 1, tailRing); |
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213 | p_Setm(tmp2, tailRing); |
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214 | if (nIsZero(tmp1)) |
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215 | { // should nowbe obsolet, test ! TODO OLIVER |
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216 | zeroPoly = p_Mult_q(zeroPoly, tmp2, tailRing); |
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217 | } |
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218 | else |
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219 | { |
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220 | tmp3 = p_NSet(nCopy(tmp1), tailRing); |
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221 | zeroPoly = p_Mult_q(zeroPoly, p_Add_q(tmp3, tmp2, tailRing), tailRing); |
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222 | } |
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223 | } |
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224 | } |
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225 | p_Setm(lead_mult, tailRing); |
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226 | zeroPoly = p_Mult_mm(zeroPoly, lead_mult, tailRing); |
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227 | tmp2 = p_NSet(nCopy(pGetCoeff(zeroPoly)), leadRing); |
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228 | for (int i = 1; i <= leadRing->N; i++) |
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229 | { |
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230 | pSetExp(tmp2, i, p_GetExp(zeroPoly, i, tailRing)); |
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231 | } |
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232 | p_Setm(tmp2, leadRing); |
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233 | zeroPoly = p_LmDeleteAndNext(zeroPoly, tailRing); |
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234 | pNext(tmp2) = zeroPoly; |
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235 | return tmp2; |
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236 | } |
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237 | /* NATNUMBER alpha_k = twoPow(leadRing->ch - k_ind2); |
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238 | if (1 == 0 && alpha_k <= a) |
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239 | { // Temporarly disabled, reducing coefficients not compatible with std TODO Oliver |
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240 | zeroPoly = p_ISet((a / alpha_k)*alpha_k, tailRing); |
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241 | for (int i = 1; i <= leadRing->N; i++) |
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242 | { |
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243 | for (NATNUMBER j = 1; j <= p_GetExp(p, i, leadRing); j++) |
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244 | { |
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245 | tmp1 = nInit(j); |
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246 | tmp2 = p_ISet(1, tailRing); |
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247 | p_SetExp(tmp2, i, 1, tailRing); |
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248 | p_Setm(tmp2, tailRing); |
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249 | if (nIsZero(tmp1)) |
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250 | { |
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251 | zeroPoly = p_Mult_q(zeroPoly, tmp2, tailRing); |
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252 | } |
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253 | else |
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254 | { |
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255 | tmp3 = p_ISet((NATNUMBER) tmp1, tailRing); |
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256 | zeroPoly = p_Mult_q(zeroPoly, p_Add_q(tmp2, tmp3, tailRing), tailRing); |
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257 | } |
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258 | } |
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259 | } |
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260 | tmp2 = p_ISet((NATNUMBER) pGetCoeff(zeroPoly), leadRing); |
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261 | for (int i = 1; i <= leadRing->N; i++) |
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262 | { |
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263 | pSetExp(tmp2, i, p_GetExp(zeroPoly, i, tailRing)); |
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264 | } |
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265 | p_Setm(tmp2, leadRing); |
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266 | zeroPoly = p_LmDeleteAndNext(zeroPoly, tailRing); |
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267 | pNext(tmp2) = zeroPoly; |
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268 | return tmp2; |
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269 | } */ |
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270 | return NULL; |
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271 | } |
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272 | |
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273 | poly kFindDivisibleByZeroPoly(LObject* h) |
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274 | { |
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275 | return kFindZeroPoly(h->GetLmCurrRing(), currRing, h->tailRing); |
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276 | } |
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277 | #endif |
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278 | |
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279 | |
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280 | #ifdef HAVE_RINGS |
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281 | /*2 |
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282 | * reduction procedure for the ring Z/2^m |
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283 | */ |
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284 | int redRing (LObject* h,kStrategy strat) |
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285 | { |
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286 | if (h->p == NULL && h->t_p == NULL) return 0; // spoly is zero (can only occure with zero divisors) |
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287 | |
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288 | // if (strat->tl<0) return 1; |
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289 | int at,d,i; |
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290 | int j = 0; |
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291 | int pass = 0; |
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292 | poly zeroPoly = NULL; |
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293 | |
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294 | // TODO warum SetpFDeg notwendig? |
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295 | h->SetpFDeg(); |
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296 | assume(h->pFDeg() == h->FDeg); |
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297 | // if (h->pFDeg() != h->FDeg) |
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298 | // { |
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299 | // Print("h->pFDeg()=%d =!= h->FDeg=%d\n", h->pFDeg(), h->FDeg); |
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300 | // } |
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301 | long reddeg = h->GetpFDeg(); |
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302 | |
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303 | h->SetShortExpVector(); |
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304 | loop |
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305 | { |
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306 | j = kFindDivisibleByInT(strat->T, strat->sevT, strat->tl, h); |
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307 | if (j < 0) return 1; |
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308 | #ifdef KDEBUG |
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309 | if (TEST_OPT_DEBUG) |
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310 | { |
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311 | PrintS("T red:"); |
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312 | } |
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313 | #endif |
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314 | #ifdef KDEBUG |
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315 | if (TEST_OPT_DEBUG) |
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316 | { |
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317 | h->wrp(); |
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318 | PrintS(" with "); |
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319 | strat->T[j].wrp(); |
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320 | } |
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321 | #endif |
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322 | |
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323 | ksReducePoly(h, &(strat->T[j]), NULL, NULL, strat); |
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324 | |
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325 | #ifdef KDEBUG |
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326 | if (TEST_OPT_DEBUG) |
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327 | { |
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328 | PrintS("\nto "); |
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329 | h->wrp(); |
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330 | PrintLn(); |
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331 | } |
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332 | #endif |
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333 | |
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334 | if (h->GetLmTailRing() == NULL) |
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335 | { |
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336 | if (h->lcm!=NULL) pLmDelete(h->lcm); |
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337 | #ifdef KDEBUG |
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338 | h->lcm=NULL; |
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339 | #endif |
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340 | return 0; |
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341 | } |
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342 | h->SetShortExpVector(); |
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343 | d = h->SetpFDeg(); |
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344 | /*- try to reduce the s-polynomial -*/ |
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345 | pass++; |
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346 | if (!K_TEST_OPT_REDTHROUGH && |
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347 | (strat->Ll >= 0) && ((d > reddeg) || (pass > strat->LazyPass))) |
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348 | { |
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349 | h->SetLmCurrRing(); |
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350 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
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351 | if (at <= strat->Ll) |
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352 | { |
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353 | #ifdef KDEBUG |
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354 | if (TEST_OPT_DEBUG) Print(" ->L[%d]\n",at); |
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355 | #endif |
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356 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); // NOT RING CHECKED OLIVER |
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357 | h->Clear(); |
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358 | return -1; |
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359 | } |
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360 | } |
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361 | else if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d != reddeg)) |
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362 | { |
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363 | Print(".%d",d);mflush(); |
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364 | reddeg = d; |
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365 | } |
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366 | } |
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367 | } |
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368 | #endif |
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369 | |
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370 | /*2 |
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371 | * reduction procedure for the homogeneous case |
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372 | * and the case of a degree-ordering |
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373 | */ |
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374 | int redHomog (LObject* h,kStrategy strat) |
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375 | { |
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376 | if (strat->tl<0) return 1; |
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377 | //if (h->GetLmTailRing()==NULL) return 0; // HS: SHOULD NOT BE NEEDED! |
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378 | assume(h->FDeg == h->pFDeg()); |
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379 | |
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380 | poly h_p; |
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381 | int i,j,at,pass, ii; |
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382 | unsigned long not_sev; |
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383 | long reddeg,d; |
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384 | |
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385 | pass = j = 0; |
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386 | d = reddeg = h->GetpFDeg(); |
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387 | h->SetShortExpVector(); |
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388 | int li; |
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389 | h_p = h->GetLmTailRing(); |
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390 | not_sev = ~ h->sev; |
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391 | loop |
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392 | { |
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393 | j = kFindDivisibleByInT(strat->T, strat->sevT, strat->tl, h); |
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394 | if (j < 0) return 1; |
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395 | |
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396 | li = strat->T[j].pLength; |
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397 | ii = j; |
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398 | /* |
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399 | * the polynomial to reduce with (up to the moment) is; |
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400 | * pi with length li |
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401 | */ |
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402 | i = j; |
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403 | #if 1 |
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404 | if (TEST_OPT_LENGTH) |
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405 | loop |
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406 | { |
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407 | /*- search the shortest possible with respect to length -*/ |
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408 | i++; |
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409 | if (i > strat->tl) |
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410 | break; |
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411 | if (li<=1) |
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412 | break; |
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413 | if ((strat->T[i].pLength < li) |
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414 | && |
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415 | p_LmShortDivisibleBy(strat->T[i].GetLmTailRing(), strat->sevT[i], |
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416 | h_p, not_sev, strat->tailRing)) |
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417 | { |
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418 | /* |
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419 | * the polynomial to reduce with is now; |
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420 | */ |
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421 | li = strat->T[i].pLength; |
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422 | ii = i; |
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423 | } |
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424 | } |
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425 | #endif |
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426 | |
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427 | /* |
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428 | * end of search: have to reduce with pi |
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429 | */ |
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430 | #ifdef KDEBUG |
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431 | if (TEST_OPT_DEBUG) |
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432 | { |
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433 | PrintS("red:"); |
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434 | h->wrp(); |
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435 | PrintS(" with "); |
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436 | strat->T[ii].wrp(); |
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437 | } |
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438 | #endif |
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439 | assume(strat->fromT == FALSE); |
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440 | |
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441 | ksReducePoly(h, &(strat->T[ii]), NULL, NULL, strat); |
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442 | |
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443 | #ifdef KDEBUG |
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444 | if (TEST_OPT_DEBUG) |
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445 | { |
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446 | PrintS("\nto "); |
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447 | h->wrp(); |
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448 | PrintLn(); |
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449 | } |
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450 | #endif |
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451 | |
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452 | h_p = h->GetLmTailRing(); |
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453 | if (h_p == NULL) |
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454 | { |
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455 | if (h->lcm!=NULL) pLmFree(h->lcm); |
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456 | #ifdef KDEBUG |
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457 | h->lcm=NULL; |
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458 | #endif |
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459 | return 0; |
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460 | } |
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461 | h->SetShortExpVector(); |
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462 | not_sev = ~ h->sev; |
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463 | /* |
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464 | * try to reduce the s-polynomial h |
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465 | *test first whether h should go to the lazyset L |
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466 | *-if the degree jumps |
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467 | *-if the number of pre-defined reductions jumps |
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468 | */ |
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469 | pass++; |
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470 | if (!K_TEST_OPT_REDTHROUGH && (strat->Ll >= 0) && (pass > strat->LazyPass)) |
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471 | { |
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472 | h->SetLmCurrRing(); |
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473 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
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474 | if (at <= strat->Ll) |
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475 | { |
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476 | int dummy=strat->sl; |
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477 | if (kFindDivisibleByInS(strat, &dummy, h) < 0) |
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478 | return 1; |
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479 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
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480 | #ifdef KDEBUG |
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481 | if (TEST_OPT_DEBUG) |
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482 | Print(" lazy: -> L%d\n",at); |
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483 | #endif |
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484 | h->Clear(); |
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485 | return -1; |
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486 | } |
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487 | } |
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488 | } |
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489 | } |
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490 | |
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491 | /*2 |
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492 | * reduction procedure for the inhomogeneous case |
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493 | * and not a degree-ordering |
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494 | */ |
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495 | int redLazy (LObject* h,kStrategy strat) |
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496 | { |
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497 | if (strat->tl<0) return 1; |
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498 | int at,d,i,ii,li; |
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499 | int j = 0; |
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500 | int pass = 0; |
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501 | assume(h->pFDeg() == h->FDeg); |
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502 | long reddeg = h->GetpFDeg(); |
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503 | unsigned long not_sev; |
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504 | |
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505 | h->SetShortExpVector(); |
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506 | poly h_p = h->GetLmTailRing(); |
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507 | not_sev = ~ h->sev; |
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508 | loop |
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509 | { |
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510 | j = kFindDivisibleByInT(strat->T, strat->sevT, strat->tl, h); |
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511 | if (j < 0) return 1; |
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512 | |
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513 | li = strat->T[j].pLength; |
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514 | #if 0 |
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515 | if (li==0) |
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516 | { |
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517 | li=strat->T[j].pLength=pLength(strat->T[j].p); |
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518 | } |
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519 | #endif |
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520 | ii = j; |
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521 | /* |
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522 | * the polynomial to reduce with (up to the moment) is; |
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523 | * pi with length li |
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524 | */ |
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525 | |
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526 | i = j; |
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527 | #if 1 |
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528 | if (TEST_OPT_LENGTH) |
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529 | loop |
---|
530 | { |
---|
531 | /*- search the shortest possible with respect to length -*/ |
---|
532 | i++; |
---|
533 | if (i > strat->tl) |
---|
534 | break; |
---|
535 | if (li<=1) |
---|
536 | break; |
---|
537 | #if 0 |
---|
538 | if (strat->T[i].pLength==0) |
---|
539 | { |
---|
540 | PrintS("!"); |
---|
541 | strat->T[i].pLength=pLength(strat->T[i].p); |
---|
542 | } |
---|
543 | #endif |
---|
544 | if ((strat->T[i].pLength < li) |
---|
545 | && |
---|
546 | p_LmShortDivisibleBy(strat->T[i].GetLmTailRing(), strat->sevT[i], |
---|
547 | h_p, not_sev, strat->tailRing)) |
---|
548 | { |
---|
549 | /* |
---|
550 | * the polynomial to reduce with is now; |
---|
551 | */ |
---|
552 | PrintS("+"); |
---|
553 | li = strat->T[i].pLength; |
---|
554 | ii = i; |
---|
555 | } |
---|
556 | } |
---|
557 | #endif |
---|
558 | |
---|
559 | /* |
---|
560 | * end of search: have to reduce with pi |
---|
561 | */ |
---|
562 | |
---|
563 | |
---|
564 | #ifdef KDEBUG |
---|
565 | if (TEST_OPT_DEBUG) |
---|
566 | { |
---|
567 | PrintS("red:"); |
---|
568 | h->wrp(); |
---|
569 | PrintS(" with "); |
---|
570 | strat->T[ii].wrp(); |
---|
571 | } |
---|
572 | #endif |
---|
573 | |
---|
574 | ksReducePoly(h, &(strat->T[ii]), NULL, NULL, strat); |
---|
575 | |
---|
576 | #ifdef KDEBUG |
---|
577 | if (TEST_OPT_DEBUG) |
---|
578 | { |
---|
579 | PrintS("\nto "); |
---|
580 | h->wrp(); |
---|
581 | PrintLn(); |
---|
582 | } |
---|
583 | #endif |
---|
584 | |
---|
585 | h_p=h->GetLmTailRing(); |
---|
586 | |
---|
587 | if (h_p == NULL) |
---|
588 | { |
---|
589 | if (h->lcm!=NULL) pLmFree(h->lcm); |
---|
590 | #ifdef KDEBUG |
---|
591 | h->lcm=NULL; |
---|
592 | #endif |
---|
593 | return 0; |
---|
594 | } |
---|
595 | h->SetShortExpVector(); |
---|
596 | not_sev = ~ h->sev; |
---|
597 | d = h->SetpFDeg(); |
---|
598 | /*- try to reduce the s-polynomial -*/ |
---|
599 | pass++; |
---|
600 | if (//!K_TEST_OPT_REDTHROUGH && |
---|
601 | (strat->Ll >= 0) && ((d > reddeg) || (pass > strat->LazyPass))) |
---|
602 | { |
---|
603 | h->SetLmCurrRing(); |
---|
604 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
---|
605 | if (at <= strat->Ll) |
---|
606 | { |
---|
607 | #if 1 |
---|
608 | int dummy=strat->sl; |
---|
609 | if (kFindDivisibleByInS(strat, &dummy, h) < 0) |
---|
610 | return 1; |
---|
611 | #endif |
---|
612 | #ifdef KDEBUG |
---|
613 | if (TEST_OPT_DEBUG) Print(" ->L[%d]\n",at); |
---|
614 | #endif |
---|
615 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
616 | h->Clear(); |
---|
617 | return -1; |
---|
618 | } |
---|
619 | } |
---|
620 | else if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d != reddeg)) |
---|
621 | { |
---|
622 | Print(".%d",d);mflush(); |
---|
623 | reddeg = d; |
---|
624 | } |
---|
625 | } |
---|
626 | } |
---|
627 | /*2 |
---|
628 | * reduction procedure for the sugar-strategy (honey) |
---|
629 | * reduces h with elements from T choosing first possible |
---|
630 | * element in T with respect to the given ecart |
---|
631 | */ |
---|
632 | int redHoney (LObject* h, kStrategy strat) |
---|
633 | { |
---|
634 | if (strat->tl<0) return 1; |
---|
635 | //if (h->GetLmTailRing()==NULL) return 0; // HS: SHOULD NOT BE NEEDED! |
---|
636 | assume(h->FDeg == h->pFDeg()); |
---|
637 | poly h_p; |
---|
638 | int i,j,at,pass,ei, ii, h_d; |
---|
639 | unsigned long not_sev; |
---|
640 | long reddeg,d; |
---|
641 | |
---|
642 | pass = j = 0; |
---|
643 | d = reddeg = h->GetpFDeg() + h->ecart; |
---|
644 | h->SetShortExpVector(); |
---|
645 | int li; |
---|
646 | h_p = h->GetLmTailRing(); |
---|
647 | not_sev = ~ h->sev; |
---|
648 | |
---|
649 | h->PrepareRed(strat->use_buckets); |
---|
650 | loop |
---|
651 | { |
---|
652 | j=kFindDivisibleByInT(strat->T, strat->sevT, strat->tl, h); |
---|
653 | if (j < 0) return 1; |
---|
654 | |
---|
655 | ei = strat->T[j].ecart; |
---|
656 | li = strat->T[j].pLength; |
---|
657 | ii = j; |
---|
658 | /* |
---|
659 | * the polynomial to reduce with (up to the moment) is; |
---|
660 | * pi with ecart ei |
---|
661 | */ |
---|
662 | i = j; |
---|
663 | if (TEST_OPT_LENGTH) |
---|
664 | loop |
---|
665 | { |
---|
666 | /*- takes the first possible with respect to ecart -*/ |
---|
667 | i++; |
---|
668 | if (i > strat->tl) |
---|
669 | break; |
---|
670 | //if (ei < h->ecart) |
---|
671 | // break; |
---|
672 | if (li<=1) |
---|
673 | break; |
---|
674 | if ((((strat->T[i].ecart < ei) && (ei> h->ecart)) |
---|
675 | || ((strat->T[i].ecart <= h->ecart) && (strat->T[i].pLength < li))) |
---|
676 | && |
---|
677 | p_LmShortDivisibleBy(strat->T[i].GetLmTailRing(), strat->sevT[i], |
---|
678 | h_p, not_sev, strat->tailRing)) |
---|
679 | { |
---|
680 | /* |
---|
681 | * the polynomial to reduce with is now; |
---|
682 | */ |
---|
683 | ei = strat->T[i].ecart; |
---|
684 | li = strat->T[i].pLength; |
---|
685 | ii = i; |
---|
686 | } |
---|
687 | } |
---|
688 | |
---|
689 | /* |
---|
690 | * end of search: have to reduce with pi |
---|
691 | */ |
---|
692 | if (!K_TEST_OPT_REDTHROUGH && (pass!=0) && (ei > h->ecart)) |
---|
693 | { |
---|
694 | h->GetTP(); // clears bucket |
---|
695 | h->SetLmCurrRing(); |
---|
696 | /* |
---|
697 | * It is not possible to reduce h with smaller ecart; |
---|
698 | * if possible h goes to the lazy-set L,i.e |
---|
699 | * if its position in L would be not the last one |
---|
700 | */ |
---|
701 | if (strat->Ll >= 0) /* L is not empty */ |
---|
702 | { |
---|
703 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
---|
704 | if(at <= strat->Ll) |
---|
705 | /*- h will not become the next element to reduce -*/ |
---|
706 | { |
---|
707 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
708 | #ifdef KDEBUG |
---|
709 | if (TEST_OPT_DEBUG) Print(" ecart too big: -> L%d\n",at); |
---|
710 | #endif |
---|
711 | h->Clear(); |
---|
712 | return -1; |
---|
713 | } |
---|
714 | } |
---|
715 | } |
---|
716 | #ifdef KDEBUG |
---|
717 | if (TEST_OPT_DEBUG) |
---|
718 | { |
---|
719 | PrintS("red:"); |
---|
720 | h->wrp(); |
---|
721 | PrintS(" with "); |
---|
722 | strat->T[ii].wrp(); |
---|
723 | } |
---|
724 | #endif |
---|
725 | assume(strat->fromT == FALSE); |
---|
726 | |
---|
727 | number coef; |
---|
728 | ksReducePoly(h,&(strat->T[ii]),strat->kNoetherTail(),&coef,strat); |
---|
729 | #ifdef KDEBUG |
---|
730 | if (TEST_OPT_DEBUG) |
---|
731 | { |
---|
732 | PrintS("\nto:"); |
---|
733 | h->wrp(); |
---|
734 | PrintLn(); |
---|
735 | } |
---|
736 | #endif |
---|
737 | if(h->IsNull()) |
---|
738 | { |
---|
739 | h->Clear(); |
---|
740 | if (h->lcm!=NULL) pLmFree(h->lcm); |
---|
741 | #ifdef KDEBUG |
---|
742 | h->lcm=NULL; |
---|
743 | #endif |
---|
744 | return 0; |
---|
745 | } |
---|
746 | h->SetShortExpVector(); |
---|
747 | not_sev = ~ h->sev; |
---|
748 | h_d = h->SetpFDeg(); |
---|
749 | /* compute the ecart */ |
---|
750 | if (ei <= h->ecart) |
---|
751 | h->ecart = d-h_d; |
---|
752 | else |
---|
753 | h->ecart = d-h_d+ei-h->ecart; |
---|
754 | |
---|
755 | /* |
---|
756 | * try to reduce the s-polynomial h |
---|
757 | *test first whether h should go to the lazyset L |
---|
758 | *-if the degree jumps |
---|
759 | *-if the number of pre-defined reductions jumps |
---|
760 | */ |
---|
761 | pass++; |
---|
762 | d = h_d + h->ecart; |
---|
763 | if (!K_TEST_OPT_REDTHROUGH && (strat->Ll >= 0) && ((d > reddeg) || (pass > strat->LazyPass))) |
---|
764 | { |
---|
765 | h->GetTP(); // clear bucket |
---|
766 | h->SetLmCurrRing(); |
---|
767 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
---|
768 | if (at <= strat->Ll) |
---|
769 | { |
---|
770 | int dummy=strat->sl; |
---|
771 | if (kFindDivisibleByInS(strat, &dummy, h) < 0) |
---|
772 | return 1; |
---|
773 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
774 | #ifdef KDEBUG |
---|
775 | if (TEST_OPT_DEBUG) |
---|
776 | Print(" degree jumped: -> L%d\n",at); |
---|
777 | #endif |
---|
778 | h->Clear(); |
---|
779 | return -1; |
---|
780 | } |
---|
781 | } |
---|
782 | else if (TEST_OPT_PROT && (strat->Ll < 0) && (d > reddeg)) |
---|
783 | { |
---|
784 | //h->wrp(); Print("<%d>\n",h->GetpLength()); |
---|
785 | reddeg = d; |
---|
786 | Print(".%ld",d); mflush(); |
---|
787 | } |
---|
788 | } |
---|
789 | } |
---|
790 | /*2 |
---|
791 | * reduction procedure for the normal form |
---|
792 | */ |
---|
793 | |
---|
794 | poly redNF (poly h,int &max_ind,int nonorm,kStrategy strat) |
---|
795 | { |
---|
796 | if (h==NULL) return NULL; |
---|
797 | int j; |
---|
798 | max_ind=strat->sl; |
---|
799 | |
---|
800 | if (0 > strat->sl) |
---|
801 | { |
---|
802 | return h; |
---|
803 | } |
---|
804 | LObject P(h); |
---|
805 | P.SetShortExpVector(); |
---|
806 | P.bucket = kBucketCreate(currRing); |
---|
807 | kBucketInit(P.bucket,P.p,pLength(P.p)); |
---|
808 | kbTest(P.bucket); |
---|
809 | #ifdef HAVE_RINGS |
---|
810 | BOOLEAN is_ring = rField_is_Ring(currRing); |
---|
811 | #endif |
---|
812 | loop |
---|
813 | { |
---|
814 | j=kFindDivisibleByInS(strat,&max_ind,&P); |
---|
815 | if (j>=0) |
---|
816 | { |
---|
817 | #ifdef HAVE_RINGS |
---|
818 | if (!is_ring) |
---|
819 | { |
---|
820 | #endif |
---|
821 | int sl=pSize(strat->S[j]); |
---|
822 | int jj=j; |
---|
823 | loop |
---|
824 | { |
---|
825 | int sll; |
---|
826 | jj=kFindNextDivisibleByInS(strat,jj+1,max_ind,&P); |
---|
827 | if (jj<0) break; |
---|
828 | sll=pSize(strat->S[jj]); |
---|
829 | if (sll<sl) |
---|
830 | { |
---|
831 | #ifdef KDEBUG |
---|
832 | if (TEST_OPT_DEBUG) Print("better(S%d:%d -> S%d:%d)\n",j,sl,jj,sll); |
---|
833 | #endif |
---|
834 | //else if (TEST_OPT_PROT) { PrintS("b"); mflush(); } |
---|
835 | j=jj; |
---|
836 | sl=sll; |
---|
837 | } |
---|
838 | } |
---|
839 | if ((nonorm==0) && (!nIsOne(pGetCoeff(strat->S[j])))) |
---|
840 | { |
---|
841 | pNorm(strat->S[j]); |
---|
842 | //if (TEST_OPT_PROT) { PrintS("n"); mflush(); } |
---|
843 | } |
---|
844 | #ifdef HAVE_RINGS |
---|
845 | } |
---|
846 | #endif |
---|
847 | nNormalize(pGetCoeff(P.p)); |
---|
848 | #ifdef KDEBUG |
---|
849 | if (TEST_OPT_DEBUG) |
---|
850 | { |
---|
851 | PrintS("red:"); |
---|
852 | wrp(h); |
---|
853 | PrintS(" with "); |
---|
854 | wrp(strat->S[j]); |
---|
855 | } |
---|
856 | #endif |
---|
857 | #ifdef HAVE_PLURAL |
---|
858 | if (rIsPluralRing(currRing)) |
---|
859 | { |
---|
860 | number coef; |
---|
861 | nc_kBucketPolyRed(P.bucket,strat->S[j],&coef); |
---|
862 | nDelete(&coef); |
---|
863 | } |
---|
864 | else |
---|
865 | #endif |
---|
866 | { |
---|
867 | number coef; |
---|
868 | coef=kBucketPolyRed(P.bucket,strat->S[j],pLength(strat->S[j]),strat->kNoether); |
---|
869 | nDelete(&coef); |
---|
870 | } |
---|
871 | h = kBucketGetLm(P.bucket); // FRAGE OLIVER |
---|
872 | if (h==NULL) |
---|
873 | { |
---|
874 | kBucketDestroy(&P.bucket); |
---|
875 | return NULL; |
---|
876 | } |
---|
877 | kbTest(P.bucket); |
---|
878 | P.p=h; |
---|
879 | P.t_p=NULL; |
---|
880 | P.SetShortExpVector(); |
---|
881 | #ifdef KDEBUG |
---|
882 | if (TEST_OPT_DEBUG) |
---|
883 | { |
---|
884 | PrintS("\nto:"); |
---|
885 | wrp(h); |
---|
886 | PrintLn(); |
---|
887 | } |
---|
888 | #endif |
---|
889 | } |
---|
890 | else |
---|
891 | { |
---|
892 | P.p=kBucketClear(P.bucket); |
---|
893 | kBucketDestroy(&P.bucket); |
---|
894 | pNormalize(P.p); |
---|
895 | return P.p; |
---|
896 | } |
---|
897 | } |
---|
898 | } |
---|
899 | |
---|
900 | #ifdef KDEBUG |
---|
901 | static int bba_count = 0; |
---|
902 | #endif |
---|
903 | void kDebugPrint(kStrategy strat); |
---|
904 | |
---|
905 | ideal bba (ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat) |
---|
906 | { |
---|
907 | #ifdef KDEBUG |
---|
908 | bba_count++; |
---|
909 | int loop_count = 0; |
---|
910 | #endif |
---|
911 | om_Opts.MinTrack = 5; |
---|
912 | int srmax,lrmax, red_result = 1; |
---|
913 | int olddeg,reduc; |
---|
914 | int hilbeledeg=1,hilbcount=0,minimcnt=0; |
---|
915 | BOOLEAN withT = FALSE; |
---|
916 | |
---|
917 | initBuchMoraCrit(strat); /*set Gebauer, honey, sugarCrit*/ |
---|
918 | initBuchMoraPos(strat); |
---|
919 | initHilbCrit(F,Q,&hilb,strat); |
---|
920 | initBba(F,strat); |
---|
921 | /*set enterS, spSpolyShort, reduce, red, initEcart, initEcartPair*/ |
---|
922 | /*Shdl=*/initBuchMora(F, Q,strat); |
---|
923 | if (strat->minim>0) strat->M=idInit(IDELEMS(F),F->rank); |
---|
924 | srmax = strat->sl; |
---|
925 | reduc = olddeg = lrmax = 0; |
---|
926 | |
---|
927 | #ifndef NO_BUCKETS |
---|
928 | if (!TEST_OPT_NOT_BUCKETS) |
---|
929 | strat->use_buckets = 1; |
---|
930 | #endif |
---|
931 | |
---|
932 | // redtailBBa against T for inhomogenous input |
---|
933 | if (!K_TEST_OPT_OLDSTD) |
---|
934 | withT = ! strat->homog; |
---|
935 | |
---|
936 | // strat->posInT = posInT_pLength; |
---|
937 | kTest_TS(strat); |
---|
938 | |
---|
939 | #ifdef HAVE_TAIL_RING |
---|
940 | kStratInitChangeTailRing(strat); |
---|
941 | #endif |
---|
942 | if (BVERBOSE(23)) |
---|
943 | { |
---|
944 | if (test_PosInT!=NULL) strat->posInT=test_PosInT; |
---|
945 | if (test_PosInL!=NULL) strat->posInL=test_PosInL; |
---|
946 | kDebugPrint(strat); |
---|
947 | } |
---|
948 | |
---|
949 | |
---|
950 | /* compute------------------------------------------------------- */ |
---|
951 | while (strat->Ll >= 0) |
---|
952 | { |
---|
953 | if (strat->Ll > lrmax) lrmax =strat->Ll;/*stat.*/ |
---|
954 | #ifdef KDEBUG |
---|
955 | loop_count++; |
---|
956 | #ifdef HAVE_RINGS |
---|
957 | if (TEST_OPT_DEBUG) PrintS("--- next step ---\n"); |
---|
958 | #endif |
---|
959 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
960 | #endif |
---|
961 | if (strat->Ll== 0) strat->interpt=TRUE; |
---|
962 | if (TEST_OPT_DEGBOUND |
---|
963 | && ((strat->honey && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
964 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)))) |
---|
965 | { |
---|
966 | /* |
---|
967 | *stops computation if |
---|
968 | * 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
---|
969 | *a predefined number Kstd1_deg |
---|
970 | */ |
---|
971 | while ((strat->Ll >= 0) |
---|
972 | && (strat->L[strat->Ll].p1!=NULL) && (strat->L[strat->Ll].p2!=NULL) |
---|
973 | && ((strat->honey && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
974 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg))) |
---|
975 | ) |
---|
976 | deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
977 | if (strat->Ll<0) break; |
---|
978 | else strat->noClearS=TRUE; |
---|
979 | } |
---|
980 | /* picks the last element from the lazyset L */ |
---|
981 | strat->P = strat->L[strat->Ll]; |
---|
982 | strat->Ll--; |
---|
983 | |
---|
984 | if (pNext(strat->P.p) == strat->tail) |
---|
985 | { |
---|
986 | // deletes the short spoly |
---|
987 | #ifdef HAVE_RINGS |
---|
988 | if (rField_is_Ring(currRing)) |
---|
989 | pLmDelete(strat->P.p); |
---|
990 | else |
---|
991 | #endif |
---|
992 | pLmFree(strat->P.p); |
---|
993 | strat->P.p = NULL; |
---|
994 | poly m1 = NULL, m2 = NULL; |
---|
995 | |
---|
996 | // check that spoly creation is ok |
---|
997 | while (strat->tailRing != currRing && |
---|
998 | !kCheckSpolyCreation(&(strat->P), strat, m1, m2)) |
---|
999 | { |
---|
1000 | assume(m1 == NULL && m2 == NULL); |
---|
1001 | // if not, change to a ring where exponents are at least |
---|
1002 | // large enough |
---|
1003 | kStratChangeTailRing(strat); |
---|
1004 | } |
---|
1005 | // create the real one |
---|
1006 | ksCreateSpoly(&(strat->P), NULL, strat->use_buckets, |
---|
1007 | strat->tailRing, m1, m2, strat->R); |
---|
1008 | } |
---|
1009 | else if (strat->P.p1 == NULL) |
---|
1010 | { |
---|
1011 | if (strat->minim > 0) |
---|
1012 | strat->P.p2=p_Copy(strat->P.p, currRing, strat->tailRing); |
---|
1013 | // for input polys, prepare reduction |
---|
1014 | strat->P.PrepareRed(strat->use_buckets); |
---|
1015 | } |
---|
1016 | |
---|
1017 | if (strat->P.p == NULL && strat->P.t_p == NULL) |
---|
1018 | { |
---|
1019 | red_result = 0; |
---|
1020 | } |
---|
1021 | else |
---|
1022 | { |
---|
1023 | if (TEST_OPT_PROT) |
---|
1024 | message((strat->honey ? strat->P.ecart : 0) + strat->P.pFDeg(), |
---|
1025 | &olddeg,&reduc,strat, red_result); |
---|
1026 | |
---|
1027 | /* reduction of the element choosen from L */ |
---|
1028 | red_result = strat->red(&strat->P,strat); |
---|
1029 | } |
---|
1030 | |
---|
1031 | // reduction to non-zero new poly |
---|
1032 | if (red_result == 1) |
---|
1033 | { |
---|
1034 | /* statistic */ |
---|
1035 | if (TEST_OPT_PROT) PrintS("s"); |
---|
1036 | |
---|
1037 | // get the polynomial (canonicalize bucket, make sure P.p is set) |
---|
1038 | strat->P.GetP(strat->lmBin); |
---|
1039 | |
---|
1040 | int pos=posInS(strat,strat->sl,strat->P.p,strat->P.ecart); |
---|
1041 | |
---|
1042 | // reduce the tail and normalize poly |
---|
1043 | // in the ring case we cannot expect LC(f) = 1, |
---|
1044 | // therefore we call pContent instead of pNorm |
---|
1045 | if ((TEST_OPT_INTSTRATEGY) || (rField_is_Ring(currRing))) |
---|
1046 | { |
---|
1047 | strat->P.pCleardenom(); |
---|
1048 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
1049 | { |
---|
1050 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); |
---|
1051 | strat->P.pCleardenom(); |
---|
1052 | } |
---|
1053 | } |
---|
1054 | else |
---|
1055 | { |
---|
1056 | strat->P.pNorm(); |
---|
1057 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
1058 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); |
---|
1059 | } |
---|
1060 | |
---|
1061 | #ifdef KDEBUG |
---|
1062 | if (TEST_OPT_DEBUG){PrintS("new s:");strat->P.wrp();PrintLn();} |
---|
1063 | #endif |
---|
1064 | |
---|
1065 | // min_std stuff |
---|
1066 | if ((strat->P.p1==NULL) && (strat->minim>0)) |
---|
1067 | { |
---|
1068 | if (strat->minim==1) |
---|
1069 | { |
---|
1070 | strat->M->m[minimcnt]=p_Copy(strat->P.p,currRing,strat->tailRing); |
---|
1071 | p_Delete(&strat->P.p2, currRing, strat->tailRing); |
---|
1072 | } |
---|
1073 | else |
---|
1074 | { |
---|
1075 | strat->M->m[minimcnt]=strat->P.p2; |
---|
1076 | strat->P.p2=NULL; |
---|
1077 | } |
---|
1078 | if (strat->tailRing!=currRing && pNext(strat->M->m[minimcnt])!=NULL) |
---|
1079 | pNext(strat->M->m[minimcnt]) |
---|
1080 | = strat->p_shallow_copy_delete(pNext(strat->M->m[minimcnt]), |
---|
1081 | strat->tailRing, currRing, |
---|
1082 | currRing->PolyBin); |
---|
1083 | minimcnt++; |
---|
1084 | } |
---|
1085 | |
---|
1086 | // enter into S, L, and T |
---|
1087 | //if ((!TEST_OPT_IDLIFT) || (pGetComp(strat->P.p) <= strat->syzComp)) |
---|
1088 | enterT(strat->P, strat); |
---|
1089 | #ifdef HAVE_RINGS |
---|
1090 | if (rField_is_Ring(currRing)) |
---|
1091 | superenterpairs(strat->P.p,strat->sl,strat->P.ecart,pos,strat, strat->tl); |
---|
1092 | else |
---|
1093 | #endif |
---|
1094 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,pos,strat, strat->tl); |
---|
1095 | // posInS only depends on the leading term |
---|
1096 | if ((!TEST_OPT_IDLIFT) || (pGetComp(strat->P.p) <= strat->syzComp)) |
---|
1097 | { |
---|
1098 | strat->enterS(strat->P, pos, strat, strat->tl); |
---|
1099 | } |
---|
1100 | else |
---|
1101 | { |
---|
1102 | // strat->P.Delete(); // syzComp test: it is in T |
---|
1103 | } |
---|
1104 | #if 0 |
---|
1105 | int pl=pLength(strat->P.p); |
---|
1106 | if (pl==1) |
---|
1107 | { |
---|
1108 | //if (TEST_OPT_PROT) |
---|
1109 | //PrintS("<1>"); |
---|
1110 | } |
---|
1111 | else if (pl==2) |
---|
1112 | { |
---|
1113 | //if (TEST_OPT_PROT) |
---|
1114 | //PrintS("<2>"); |
---|
1115 | } |
---|
1116 | #endif |
---|
1117 | if (hilb!=NULL) khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat); |
---|
1118 | // Print("[%d]",hilbeledeg); |
---|
1119 | if (strat->P.lcm!=NULL) |
---|
1120 | #ifdef HAVE_RINGS |
---|
1121 | pLmDelete(strat->P.lcm); |
---|
1122 | #else |
---|
1123 | pLmFree(strat->P.lcm); |
---|
1124 | #endif |
---|
1125 | if (strat->sl>srmax) srmax = strat->sl; |
---|
1126 | } |
---|
1127 | else if (strat->P.p1 == NULL && strat->minim > 0) |
---|
1128 | { |
---|
1129 | p_Delete(&strat->P.p2, currRing, strat->tailRing); |
---|
1130 | } |
---|
1131 | |
---|
1132 | #ifdef KDEBUG |
---|
1133 | memset(&(strat->P), 0, sizeof(strat->P)); |
---|
1134 | #endif |
---|
1135 | kTest_TS(strat); |
---|
1136 | } |
---|
1137 | #ifdef KDEBUG |
---|
1138 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
1139 | #endif |
---|
1140 | if (TEST_OPT_SB_1) |
---|
1141 | { |
---|
1142 | int k=1; |
---|
1143 | int j; |
---|
1144 | while(k<=strat->sl) |
---|
1145 | { |
---|
1146 | j=0; |
---|
1147 | loop |
---|
1148 | { |
---|
1149 | if (j>=k) break; |
---|
1150 | clearS(strat->S[j],strat->sevS[j],&k,&j,strat); |
---|
1151 | j++; |
---|
1152 | } |
---|
1153 | k++; |
---|
1154 | } |
---|
1155 | } |
---|
1156 | |
---|
1157 | /* complete reduction of the standard basis--------- */ |
---|
1158 | if (TEST_OPT_REDSB) |
---|
1159 | { |
---|
1160 | completeReduce(strat); |
---|
1161 | #ifdef HAVE_TAIL_RING |
---|
1162 | if (strat->completeReduce_retry) |
---|
1163 | { |
---|
1164 | // completeReduce needed larger exponents, retry |
---|
1165 | // to reduce with S (instead of T) |
---|
1166 | // and in currRing (instead of strat->tailRing) |
---|
1167 | cleanT(strat);strat->tailRing=currRing; |
---|
1168 | int i; |
---|
1169 | for(i=strat->sl;i>=0;i--) strat->S_2_R[i]=-1; |
---|
1170 | completeReduce(strat); |
---|
1171 | } |
---|
1172 | #endif |
---|
1173 | } |
---|
1174 | else if (TEST_OPT_PROT) PrintLn(); |
---|
1175 | |
---|
1176 | /* release temp data-------------------------------- */ |
---|
1177 | exitBuchMora(strat); |
---|
1178 | if (TEST_OPT_WEIGHTM) |
---|
1179 | { |
---|
1180 | pRestoreDegProcs(pFDegOld, pLDegOld); |
---|
1181 | if (ecartWeights) |
---|
1182 | { |
---|
1183 | omFreeSize((ADDRESS)ecartWeights,(pVariables+1)*sizeof(short)); |
---|
1184 | ecartWeights=NULL; |
---|
1185 | } |
---|
1186 | } |
---|
1187 | if (TEST_OPT_PROT) messageStat(srmax,lrmax,hilbcount,strat); |
---|
1188 | if (Q!=NULL) updateResult(strat->Shdl,Q,strat); |
---|
1189 | return (strat->Shdl); |
---|
1190 | } |
---|
1191 | |
---|
1192 | poly kNF2 (ideal F,ideal Q,poly q,kStrategy strat, int lazyReduce) |
---|
1193 | { |
---|
1194 | assume(q!=NULL); |
---|
1195 | assume(!(idIs0(F)&&(Q==NULL))); |
---|
1196 | |
---|
1197 | // lazy_reduce flags: can be combined by | |
---|
1198 | //#define KSTD_NF_LAZY 1 |
---|
1199 | // do only a reduction of the leading term |
---|
1200 | //#define KSTD_NF_NONORM 4 |
---|
1201 | // only global: avoid normalization, return a multiply of NF |
---|
1202 | poly p; |
---|
1203 | int i; |
---|
1204 | |
---|
1205 | //if ((idIs0(F))&&(Q==NULL)) |
---|
1206 | // return pCopy(q); /*F=0*/ |
---|
1207 | //strat->ak = idRankFreeModule(F); |
---|
1208 | /*- creating temp data structures------------------- -*/ |
---|
1209 | BITSET save_test=test; |
---|
1210 | test|=Sy_bit(OPT_REDTAIL); |
---|
1211 | initBuchMoraCrit(strat); |
---|
1212 | strat->initEcart = initEcartBBA; |
---|
1213 | strat->enterS = enterSBba; |
---|
1214 | #ifndef NO_BUCKETS |
---|
1215 | strat->use_buckets = (!TEST_OPT_NOT_BUCKETS) && (!rIsPluralRing(currRing)); |
---|
1216 | #endif |
---|
1217 | /*- set S -*/ |
---|
1218 | strat->sl = -1; |
---|
1219 | /*- init local data struct.---------------------------------------- -*/ |
---|
1220 | /*Shdl=*/initS(F,Q,strat); |
---|
1221 | /*- compute------------------------------------------------------- -*/ |
---|
1222 | //if ((TEST_OPT_INTSTRATEGY)&&(lazyReduce==0)) |
---|
1223 | //{ |
---|
1224 | // for (i=strat->sl;i>=0;i--) |
---|
1225 | // pNorm(strat->S[i]); |
---|
1226 | //} |
---|
1227 | kTest(strat); |
---|
1228 | if (TEST_OPT_PROT) { PrintS("r"); mflush(); } |
---|
1229 | int max_ind; |
---|
1230 | p = redNF(pCopy(q),max_ind,lazyReduce & KSTD_NF_NONORM,strat); |
---|
1231 | if ((p!=NULL)&&((lazyReduce & KSTD_NF_LAZY)==0)) |
---|
1232 | { |
---|
1233 | if (TEST_OPT_PROT) { PrintS("t"); mflush(); } |
---|
1234 | #ifdef HAVE_RINGS |
---|
1235 | if (rField_is_Ring()) |
---|
1236 | { |
---|
1237 | p = redtailBba_Z(p,max_ind,strat); |
---|
1238 | } |
---|
1239 | else |
---|
1240 | #endif |
---|
1241 | { |
---|
1242 | BITSET save=test; |
---|
1243 | test &= ~Sy_bit(OPT_INTSTRATEGY); |
---|
1244 | p = redtailBba(p,max_ind,strat,(lazyReduce & KSTD_NF_NONORM)==0); |
---|
1245 | test=save; |
---|
1246 | } |
---|
1247 | } |
---|
1248 | /*- release temp data------------------------------- -*/ |
---|
1249 | omfree(strat->sevS); |
---|
1250 | omfree(strat->ecartS); |
---|
1251 | omfree(strat->T); |
---|
1252 | omfree(strat->sevT); |
---|
1253 | omfree(strat->R); |
---|
1254 | omfree(strat->S_2_R); |
---|
1255 | omfree(strat->L); |
---|
1256 | omfree(strat->B); |
---|
1257 | omfree(strat->fromQ); |
---|
1258 | idDelete(&strat->Shdl); |
---|
1259 | test=save_test; |
---|
1260 | if (TEST_OPT_PROT) PrintLn(); |
---|
1261 | return p; |
---|
1262 | } |
---|
1263 | |
---|
1264 | ideal kNF2 (ideal F,ideal Q,ideal q,kStrategy strat, int lazyReduce) |
---|
1265 | { |
---|
1266 | assume(!idIs0(q)); |
---|
1267 | assume(!(idIs0(F)&&(Q==NULL))); |
---|
1268 | // lazy_reduce flags: can be combined by | |
---|
1269 | //#define KSTD_NF_LAZY 1 |
---|
1270 | // do only a reduction of the leading term |
---|
1271 | //#define KSTD_NF_NONORM 4 |
---|
1272 | // only global: avoid normalization, return a multiply of NF |
---|
1273 | poly p; |
---|
1274 | int i; |
---|
1275 | ideal res; |
---|
1276 | int max_ind; |
---|
1277 | |
---|
1278 | //if (idIs0(q)) |
---|
1279 | // return idInit(IDELEMS(q),si_max(q->rank,F->rank)); |
---|
1280 | //if ((idIs0(F))&&(Q==NULL)) |
---|
1281 | // return idCopy(q); /*F=0*/ |
---|
1282 | //strat->ak = idRankFreeModule(F); |
---|
1283 | /*- creating temp data structures------------------- -*/ |
---|
1284 | BITSET save_test=test; |
---|
1285 | test|=Sy_bit(OPT_REDTAIL); |
---|
1286 | initBuchMoraCrit(strat); |
---|
1287 | strat->initEcart = initEcartBBA; |
---|
1288 | strat->enterS = enterSBba; |
---|
1289 | /*- set S -*/ |
---|
1290 | strat->sl = -1; |
---|
1291 | #ifndef NO_BUCKETS |
---|
1292 | strat->use_buckets = (!TEST_OPT_NOT_BUCKETS) && (!rIsPluralRing(currRing)); |
---|
1293 | #endif |
---|
1294 | /*- init local data struct.---------------------------------------- -*/ |
---|
1295 | /*Shdl=*/initS(F,Q,strat); |
---|
1296 | /*- compute------------------------------------------------------- -*/ |
---|
1297 | res=idInit(IDELEMS(q),si_max(q->rank,F->rank)); |
---|
1298 | BITSET save=test; |
---|
1299 | test &= ~Sy_bit(OPT_INTSTRATEGY); |
---|
1300 | for (i=IDELEMS(q)-1; i>=0; i--) |
---|
1301 | { |
---|
1302 | if (q->m[i]!=NULL) |
---|
1303 | { |
---|
1304 | if (TEST_OPT_PROT) { PrintS("r");mflush(); } |
---|
1305 | p = redNF(pCopy(q->m[i]),max_ind,lazyReduce & KSTD_NF_NONORM,strat); |
---|
1306 | if ((p!=NULL)&&((lazyReduce & KSTD_NF_LAZY)==0)) |
---|
1307 | { |
---|
1308 | if (TEST_OPT_PROT) { PrintS("t"); mflush(); } |
---|
1309 | #ifdef HAVE_RINGS |
---|
1310 | if (rField_is_Ring()) |
---|
1311 | { |
---|
1312 | p = redtailBba_Z(p,max_ind,strat); |
---|
1313 | } |
---|
1314 | else |
---|
1315 | #endif |
---|
1316 | { |
---|
1317 | p = redtailBba(p,max_ind,strat,(lazyReduce & KSTD_NF_NONORM)==0); |
---|
1318 | } |
---|
1319 | } |
---|
1320 | res->m[i]=p; |
---|
1321 | } |
---|
1322 | //else |
---|
1323 | // res->m[i]=NULL; |
---|
1324 | } |
---|
1325 | /*- release temp data------------------------------- -*/ |
---|
1326 | test=save; |
---|
1327 | omfree(strat->sevS); |
---|
1328 | omfree(strat->ecartS); |
---|
1329 | omfree(strat->T); |
---|
1330 | omfree(strat->sevT); |
---|
1331 | omfree(strat->R); |
---|
1332 | omfree(strat->S_2_R); |
---|
1333 | omfree(strat->L); |
---|
1334 | omfree(strat->B); |
---|
1335 | omfree(strat->fromQ); |
---|
1336 | idDelete(&strat->Shdl); |
---|
1337 | test=save_test; |
---|
1338 | if (TEST_OPT_PROT) PrintLn(); |
---|
1339 | return res; |
---|
1340 | } |
---|
1341 | |
---|
1342 | /* shiftgb stuff */ |
---|
1343 | #ifdef HAVE_SHIFTBBA |
---|
1344 | |
---|
1345 | |
---|
1346 | ideal bbaShift(ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat, int uptodeg, int lV) |
---|
1347 | { |
---|
1348 | #ifdef KDEBUG |
---|
1349 | bba_count++; |
---|
1350 | int loop_count = 0; |
---|
1351 | #endif |
---|
1352 | om_Opts.MinTrack = 5; |
---|
1353 | int srmax,lrmax, red_result = 1; |
---|
1354 | int olddeg,reduc; |
---|
1355 | int hilbeledeg=1,hilbcount=0,minimcnt=0; |
---|
1356 | BOOLEAN withT = TRUE; // very important for shifts |
---|
1357 | |
---|
1358 | initBuchMoraCrit(strat); /*set Gebauer, honey, sugarCrit, NO CHANGES */ |
---|
1359 | initBuchMoraPos(strat); /*NO CHANGES YET: perhaps later*/ |
---|
1360 | initHilbCrit(F,Q,&hilb,strat); /*NO CHANGES*/ |
---|
1361 | initBbaShift(F,strat); /* DONE */ |
---|
1362 | /*set enterS, spSpolyShort, reduce, red, initEcart, initEcartPair*/ |
---|
1363 | /*Shdl=*/initBuchMoraShift(F, Q,strat); /* updateS with no toT, i.e. no init for T */ |
---|
1364 | updateSShift(strat,uptodeg,lV); /* initializes T */ |
---|
1365 | |
---|
1366 | if (strat->minim>0) strat->M=idInit(IDELEMS(F),F->rank); |
---|
1367 | srmax = strat->sl; |
---|
1368 | reduc = olddeg = lrmax = 0; |
---|
1369 | strat->lV=lV; |
---|
1370 | |
---|
1371 | #ifndef NO_BUCKETS |
---|
1372 | if (!TEST_OPT_NOT_BUCKETS) |
---|
1373 | strat->use_buckets = 1; |
---|
1374 | #endif |
---|
1375 | |
---|
1376 | // redtailBBa against T for inhomogenous input |
---|
1377 | // if (!K_TEST_OPT_OLDSTD) |
---|
1378 | // withT = ! strat->homog; |
---|
1379 | |
---|
1380 | // strat->posInT = posInT_pLength; |
---|
1381 | kTest_TS(strat); |
---|
1382 | |
---|
1383 | #ifdef HAVE_TAIL_RING |
---|
1384 | kStratInitChangeTailRing(strat); |
---|
1385 | #endif |
---|
1386 | |
---|
1387 | /* compute------------------------------------------------------- */ |
---|
1388 | while (strat->Ll >= 0) |
---|
1389 | { |
---|
1390 | if (strat->Ll > lrmax) lrmax =strat->Ll;/*stat.*/ |
---|
1391 | #ifdef KDEBUG |
---|
1392 | loop_count++; |
---|
1393 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
1394 | #endif |
---|
1395 | if (strat->Ll== 0) strat->interpt=TRUE; |
---|
1396 | if (TEST_OPT_DEGBOUND |
---|
1397 | && ((strat->honey && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
1398 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)))) |
---|
1399 | { |
---|
1400 | /* |
---|
1401 | *stops computation if |
---|
1402 | * 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
---|
1403 | *a predefined number Kstd1_deg |
---|
1404 | */ |
---|
1405 | while ((strat->Ll >= 0) |
---|
1406 | && (strat->L[strat->Ll].p1!=NULL) && (strat->L[strat->Ll].p2!=NULL) |
---|
1407 | && ((strat->honey && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
1408 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg))) |
---|
1409 | ) |
---|
1410 | deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
1411 | if (strat->Ll<0) break; |
---|
1412 | else strat->noClearS=TRUE; |
---|
1413 | } |
---|
1414 | /* picks the last element from the lazyset L */ |
---|
1415 | strat->P = strat->L[strat->Ll]; |
---|
1416 | strat->Ll--; |
---|
1417 | |
---|
1418 | if (pNext(strat->P.p) == strat->tail) |
---|
1419 | { |
---|
1420 | // deletes the short spoly |
---|
1421 | pLmFree(strat->P.p); |
---|
1422 | strat->P.p = NULL; |
---|
1423 | poly m1 = NULL, m2 = NULL; |
---|
1424 | |
---|
1425 | // check that spoly creation is ok |
---|
1426 | while (strat->tailRing != currRing && |
---|
1427 | !kCheckSpolyCreation(&(strat->P), strat, m1, m2)) |
---|
1428 | { |
---|
1429 | assume(m1 == NULL && m2 == NULL); |
---|
1430 | // if not, change to a ring where exponents are at least |
---|
1431 | // large enough |
---|
1432 | kStratChangeTailRing(strat); |
---|
1433 | } |
---|
1434 | // create the real one |
---|
1435 | ksCreateSpoly(&(strat->P), NULL, strat->use_buckets, |
---|
1436 | strat->tailRing, m1, m2, strat->R); |
---|
1437 | } |
---|
1438 | else if (strat->P.p1 == NULL) |
---|
1439 | { |
---|
1440 | if (strat->minim > 0) |
---|
1441 | strat->P.p2=p_Copy(strat->P.p, currRing, strat->tailRing); |
---|
1442 | // for input polys, prepare reduction |
---|
1443 | strat->P.PrepareRed(strat->use_buckets); |
---|
1444 | } |
---|
1445 | |
---|
1446 | poly qq; |
---|
1447 | |
---|
1448 | /* here in the nonhomog case we shrink the new spoly */ |
---|
1449 | |
---|
1450 | if ( ! strat->homog) |
---|
1451 | { |
---|
1452 | strat->P.GetP(strat->lmBin); // because shifts are counted with .p structure |
---|
1453 | /* in the nonhomog case we have to shrink the polynomial */ |
---|
1454 | assume(strat->P.t_p!=NULL); |
---|
1455 | qq = p_Shrink(strat->P.t_p, lV, strat->tailRing); // direct shrink |
---|
1456 | if (qq != NULL) |
---|
1457 | { |
---|
1458 | /* we're here if Shrink is nonzero */ |
---|
1459 | // strat->P.p = NULL; |
---|
1460 | // strat->P.Delete(); /* deletes P.p and P.t_p */ //error |
---|
1461 | strat->P.p = NULL; // is not set by Delete |
---|
1462 | strat->P.t_p = qq; |
---|
1463 | strat->P.GetP(strat->lmBin); |
---|
1464 | // update sev and length |
---|
1465 | strat->initEcart(&(strat->P)); |
---|
1466 | strat->P.sev = pGetShortExpVector(strat->P.p); |
---|
1467 | // strat->P.FDeg = strat->P.pFDeg(); |
---|
1468 | // strat->P.length = strat->P.pLDeg(); |
---|
1469 | // strat->P.pLength =strat->P.GetpLength(); //pLength(strat->P.p); |
---|
1470 | } |
---|
1471 | else |
---|
1472 | { |
---|
1473 | /* Shrink is zero, like y(1)*y(2) - y(1)*y(3)*/ |
---|
1474 | #ifdef KDEBUG |
---|
1475 | if (TEST_OPT_DEBUG){PrintS("nonzero s shrinks to 0");PrintLn();} |
---|
1476 | #endif |
---|
1477 | // strat->P.Delete(); // cause error |
---|
1478 | strat->P.p = NULL; |
---|
1479 | strat->P.t_p = NULL; |
---|
1480 | // strat->P.p = NULL; // or delete strat->P.p ? |
---|
1481 | } |
---|
1482 | } |
---|
1483 | /* end shrinking poly in the nonhomog case */ |
---|
1484 | |
---|
1485 | if (strat->P.p == NULL && strat->P.t_p == NULL) |
---|
1486 | { |
---|
1487 | red_result = 0; |
---|
1488 | } |
---|
1489 | else |
---|
1490 | { |
---|
1491 | if (TEST_OPT_PROT) |
---|
1492 | message((strat->honey ? strat->P.ecart : 0) + strat->P.pFDeg(), |
---|
1493 | &olddeg,&reduc,strat, red_result); |
---|
1494 | |
---|
1495 | /* reduction of the element choosen from L */ |
---|
1496 | red_result = strat->red(&strat->P,strat); |
---|
1497 | } |
---|
1498 | |
---|
1499 | // reduction to non-zero new poly |
---|
1500 | if (red_result == 1) |
---|
1501 | { |
---|
1502 | /* statistic */ |
---|
1503 | if (TEST_OPT_PROT) PrintS("s"); |
---|
1504 | |
---|
1505 | // get the polynomial (canonicalize bucket, make sure P.p is set) |
---|
1506 | strat->P.GetP(strat->lmBin); |
---|
1507 | |
---|
1508 | int pos=posInS(strat,strat->sl,strat->P.p,strat->P.ecart); |
---|
1509 | |
---|
1510 | // reduce the tail and normalize poly |
---|
1511 | if (TEST_OPT_INTSTRATEGY) |
---|
1512 | { |
---|
1513 | strat->P.pCleardenom(); |
---|
1514 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
1515 | { |
---|
1516 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); |
---|
1517 | strat->P.pCleardenom(); |
---|
1518 | } |
---|
1519 | } |
---|
1520 | else |
---|
1521 | { |
---|
1522 | strat->P.pNorm(); |
---|
1523 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
1524 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); |
---|
1525 | } |
---|
1526 | |
---|
1527 | // here we must shrink again! and optionally reduce again |
---|
1528 | // or build shrink into redtailBba! |
---|
1529 | |
---|
1530 | #ifdef KDEBUG |
---|
1531 | if (TEST_OPT_DEBUG){PrintS("new s:");strat->P.wrp();PrintLn();} |
---|
1532 | #endif |
---|
1533 | |
---|
1534 | // min_std stuff |
---|
1535 | if ((strat->P.p1==NULL) && (strat->minim>0)) |
---|
1536 | { |
---|
1537 | if (strat->minim==1) |
---|
1538 | { |
---|
1539 | strat->M->m[minimcnt]=p_Copy(strat->P.p,currRing,strat->tailRing); |
---|
1540 | p_Delete(&strat->P.p2, currRing, strat->tailRing); |
---|
1541 | } |
---|
1542 | else |
---|
1543 | { |
---|
1544 | strat->M->m[minimcnt]=strat->P.p2; |
---|
1545 | strat->P.p2=NULL; |
---|
1546 | } |
---|
1547 | if (strat->tailRing!=currRing && pNext(strat->M->m[minimcnt])!=NULL) |
---|
1548 | pNext(strat->M->m[minimcnt]) |
---|
1549 | = strat->p_shallow_copy_delete(pNext(strat->M->m[minimcnt]), |
---|
1550 | strat->tailRing, currRing, |
---|
1551 | currRing->PolyBin); |
---|
1552 | minimcnt++; |
---|
1553 | } |
---|
1554 | |
---|
1555 | /* here in the nonhomog case we shrink the reduced poly AGAIN */ |
---|
1556 | |
---|
1557 | if ( ! strat->homog) |
---|
1558 | { |
---|
1559 | strat->P.GetP(strat->lmBin); // because shifts are counted with .p structure |
---|
1560 | /* assume strat->P.t_p != NULL */ |
---|
1561 | /* in the nonhomog case we have to shrink the polynomial */ |
---|
1562 | assume(strat->P.t_p!=NULL); // poly qq defined above |
---|
1563 | qq = p_Shrink(strat->P.t_p, lV, strat->tailRing); // direct shrink |
---|
1564 | if (qq != NULL) |
---|
1565 | { |
---|
1566 | /* we're here if Shrink is nonzero */ |
---|
1567 | // strat->P.p = NULL; |
---|
1568 | // strat->P.Delete(); /* deletes P.p and P.t_p */ //error |
---|
1569 | strat->P.p = NULL; // is not set by Delete |
---|
1570 | strat->P.t_p = qq; |
---|
1571 | strat->P.GetP(strat->lmBin); |
---|
1572 | // update sev and length |
---|
1573 | strat->initEcart(&(strat->P)); |
---|
1574 | strat->P.sev = pGetShortExpVector(strat->P.p); |
---|
1575 | } |
---|
1576 | else |
---|
1577 | { |
---|
1578 | /* Shrink is zero, like y(1)*y(2) - y(1)*y(3)*/ |
---|
1579 | #ifdef PDEBUG |
---|
1580 | if (TEST_OPT_DEBUG){PrintS("nonzero s shrinks to 0");PrintLn();} |
---|
1581 | #endif |
---|
1582 | // strat->P.Delete(); // cause error |
---|
1583 | strat->P.p = NULL; |
---|
1584 | strat->P.t_p = NULL; |
---|
1585 | // strat->P.p = NULL; // or delete strat->P.p ? |
---|
1586 | goto red_shrink2zero; |
---|
1587 | } |
---|
1588 | } |
---|
1589 | /* end shrinking poly AGAIN in the nonhomog case */ |
---|
1590 | |
---|
1591 | |
---|
1592 | // enter into S, L, and T |
---|
1593 | //if ((!TEST_OPT_IDLIFT) || (pGetComp(strat->P.p) <= strat->syzComp)) |
---|
1594 | // enterT(strat->P, strat); // this was here before Shift stuff |
---|
1595 | //enterTShift(LObject p, kStrategy strat, int atT, int uptodeg, int lV); // syntax |
---|
1596 | // the default value for atT = -1 as in bba |
---|
1597 | /* strat->P.GetP(); */ |
---|
1598 | // because shifts are counted with .p structure // done before, but ? |
---|
1599 | enterTShift(strat->P,strat,-1,uptodeg, lV); |
---|
1600 | enterpairsShift(strat->P.p,strat->sl,strat->P.ecart,pos,strat, strat->tl,uptodeg,lV); |
---|
1601 | // enterpairsShift(vw,strat->sl,strat->P.ecart,pos,strat, strat->tl,uptodeg,lV); |
---|
1602 | // posInS only depends on the leading term |
---|
1603 | if ((!TEST_OPT_IDLIFT) || (pGetComp(strat->P.p) <= strat->syzComp)) |
---|
1604 | { |
---|
1605 | strat->enterS(strat->P, pos, strat, strat->tl); |
---|
1606 | } |
---|
1607 | else |
---|
1608 | { |
---|
1609 | // strat->P.Delete(); // syzComp test: it is in T |
---|
1610 | } |
---|
1611 | |
---|
1612 | if (hilb!=NULL) khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat); |
---|
1613 | // Print("[%d]",hilbeledeg); |
---|
1614 | if (strat->P.lcm!=NULL) pLmFree(strat->P.lcm); |
---|
1615 | if (strat->sl>srmax) srmax = strat->sl; |
---|
1616 | } |
---|
1617 | else |
---|
1618 | { |
---|
1619 | red_shrink2zero: |
---|
1620 | if (strat->P.p1 == NULL && strat->minim > 0) |
---|
1621 | { |
---|
1622 | p_Delete(&strat->P.p2, currRing, strat->tailRing); |
---|
1623 | } |
---|
1624 | } |
---|
1625 | #ifdef KDEBUG |
---|
1626 | memset(&(strat->P), 0, sizeof(strat->P)); |
---|
1627 | #endif |
---|
1628 | kTest_TS(strat); |
---|
1629 | } |
---|
1630 | #ifdef KDEBUG |
---|
1631 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
1632 | #endif |
---|
1633 | /* complete reduction of the standard basis--------- */ |
---|
1634 | /* shift case: look for elt's in S such that they are divisible by elt in T */ |
---|
1635 | // if (TEST_OPT_SB_1) |
---|
1636 | if (TEST_OPT_REDSB) |
---|
1637 | { |
---|
1638 | int k=0; |
---|
1639 | int j=-1; |
---|
1640 | while(k<=strat->sl) |
---|
1641 | { |
---|
1642 | // loop |
---|
1643 | // { |
---|
1644 | // if (j>=k) break; |
---|
1645 | // clearS(strat->S[j],strat->sevS[j],&k,&j,strat); |
---|
1646 | // j++; |
---|
1647 | // } |
---|
1648 | LObject Ln (strat->S[k],currRing, strat->tailRing); |
---|
1649 | Ln.SetShortExpVector(); |
---|
1650 | j = kFindDivisibleByInT(strat->T, strat->sevT, strat->tl, &Ln, j+1); |
---|
1651 | if (j<0) { k++; j=-1;} |
---|
1652 | else |
---|
1653 | { |
---|
1654 | if ( pLmCmp(strat->S[k],strat->T[j].p) == 0) |
---|
1655 | { |
---|
1656 | j = kFindDivisibleByInT(strat->T, strat->sevT, strat->tl, &Ln, j+1); |
---|
1657 | if (j<0) { k++; j=-1;} |
---|
1658 | else |
---|
1659 | { |
---|
1660 | deleteInS(k,strat); |
---|
1661 | } |
---|
1662 | } |
---|
1663 | else |
---|
1664 | { |
---|
1665 | deleteInS(k,strat); |
---|
1666 | } |
---|
1667 | } |
---|
1668 | } |
---|
1669 | } |
---|
1670 | |
---|
1671 | if (TEST_OPT_REDSB) |
---|
1672 | { completeReduce(strat, TRUE); //shift: withT = TRUE |
---|
1673 | if (strat->completeReduce_retry) |
---|
1674 | { |
---|
1675 | // completeReduce needed larger exponents, retry |
---|
1676 | // to reduce with S (instead of T) |
---|
1677 | // and in currRing (instead of strat->tailRing) |
---|
1678 | cleanT(strat);strat->tailRing=currRing; |
---|
1679 | int i; |
---|
1680 | for(i=strat->sl;i>=0;i--) strat->S_2_R[i]=-1; |
---|
1681 | completeReduce(strat, TRUE); |
---|
1682 | } |
---|
1683 | } |
---|
1684 | else if (TEST_OPT_PROT) PrintLn(); |
---|
1685 | |
---|
1686 | /* release temp data-------------------------------- */ |
---|
1687 | exitBuchMora(strat); |
---|
1688 | if (TEST_OPT_WEIGHTM) |
---|
1689 | { |
---|
1690 | pRestoreDegProcs(pFDegOld, pLDegOld); |
---|
1691 | if (ecartWeights) |
---|
1692 | { |
---|
1693 | omFreeSize((ADDRESS)ecartWeights,(pVariables+1)*sizeof(short)); |
---|
1694 | ecartWeights=NULL; |
---|
1695 | } |
---|
1696 | } |
---|
1697 | if (TEST_OPT_PROT) messageStat(srmax,lrmax,hilbcount,strat); |
---|
1698 | if (Q!=NULL) updateResult(strat->Shdl,Q,strat); |
---|
1699 | return (strat->Shdl); |
---|
1700 | } |
---|
1701 | |
---|
1702 | |
---|
1703 | ideal freegb(ideal I, int uptodeg, int lVblock) |
---|
1704 | { |
---|
1705 | /* todo main call */ |
---|
1706 | |
---|
1707 | /* assume: ring is prepared, ideal is copied into shifted ring */ |
---|
1708 | /* uptodeg and lVblock are correct - test them! */ |
---|
1709 | |
---|
1710 | /* check whether the ideal is in V */ |
---|
1711 | |
---|
1712 | // if (0) |
---|
1713 | if (! ideal_isInV(I,lVblock) ) |
---|
1714 | { |
---|
1715 | WerrorS("The input ideal contains incorrectly encoded elements! "); |
---|
1716 | return(NULL); |
---|
1717 | } |
---|
1718 | |
---|
1719 | // kStrategy strat = new skStrategy; |
---|
1720 | /* ideal bbaShift(ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat, int uptodeg, int lV) */ |
---|
1721 | /* at the moment: |
---|
1722 | - no quotient (check) |
---|
1723 | - no *w, no *hilb |
---|
1724 | */ |
---|
1725 | /* ideal F, ideal Q, tHomog h,intvec ** w, intvec *hilb,int syzComp, |
---|
1726 | int newIdeal, intvec *vw) */ |
---|
1727 | ideal RS = kStdShift(I,NULL, testHomog, NULL,NULL,0,0,NULL, uptodeg, lVblock); |
---|
1728 | //bbaShift(I,NULL, NULL, NULL, strat, uptodeg, lVblock); |
---|
1729 | idSkipZeroes(RS); |
---|
1730 | return(RS); |
---|
1731 | } |
---|
1732 | |
---|
1733 | /*2 |
---|
1734 | *reduces h with elements from T choosing the first possible |
---|
1735 | * element in t with respect to the given pDivisibleBy |
---|
1736 | */ |
---|
1737 | int redFirstShift (LObject* h,kStrategy strat) |
---|
1738 | { |
---|
1739 | if (h->IsNull()) return 0; |
---|
1740 | |
---|
1741 | int at, reddeg,d; |
---|
1742 | int pass = 0; |
---|
1743 | int j = 0; |
---|
1744 | |
---|
1745 | if (! strat->homog) |
---|
1746 | { |
---|
1747 | d = h->GetpFDeg() + h->ecart; |
---|
1748 | reddeg = strat->LazyDegree+d; |
---|
1749 | } |
---|
1750 | h->SetShortExpVector(); |
---|
1751 | loop |
---|
1752 | { |
---|
1753 | j = kFindDivisibleByInT(strat->T, strat->sevT, strat->tl, h); |
---|
1754 | if (j < 0) |
---|
1755 | { |
---|
1756 | h->SetDegStuffReturnLDeg(strat->LDegLast); |
---|
1757 | return 1; |
---|
1758 | } |
---|
1759 | |
---|
1760 | if (!TEST_OPT_INTSTRATEGY) |
---|
1761 | strat->T[j].pNorm(); |
---|
1762 | #ifdef KDEBUG |
---|
1763 | if (TEST_OPT_DEBUG) |
---|
1764 | { |
---|
1765 | PrintS("reduce "); |
---|
1766 | h->wrp(); |
---|
1767 | PrintS(" with "); |
---|
1768 | strat->T[j].wrp(); |
---|
1769 | } |
---|
1770 | #endif |
---|
1771 | ksReducePoly(h, &(strat->T[j]), strat->kNoetherTail(), NULL, strat); |
---|
1772 | if (!h->IsNull()) |
---|
1773 | { |
---|
1774 | poly qq=p_Shrink(h->GetTP(),strat->lV,strat->tailRing); |
---|
1775 | h->p=NULL; |
---|
1776 | h->t_p=qq; |
---|
1777 | if (qq!=NULL) h->GetP(strat->lmBin); |
---|
1778 | } |
---|
1779 | |
---|
1780 | #ifdef KDEBUG |
---|
1781 | if (TEST_OPT_DEBUG) |
---|
1782 | { |
---|
1783 | PrintS(" to "); |
---|
1784 | wrp(h->p); |
---|
1785 | PrintLn(); |
---|
1786 | } |
---|
1787 | #endif |
---|
1788 | if (h->IsNull()) |
---|
1789 | { |
---|
1790 | if (h->lcm!=NULL) pLmFree(h->lcm); |
---|
1791 | h->Clear(); |
---|
1792 | return 0; |
---|
1793 | } |
---|
1794 | h->SetShortExpVector(); |
---|
1795 | |
---|
1796 | #if 0 |
---|
1797 | if ((strat->syzComp!=0) && !strat->honey) |
---|
1798 | { |
---|
1799 | if ((strat->syzComp>0) && |
---|
1800 | (h->Comp() > strat->syzComp)) |
---|
1801 | { |
---|
1802 | assume(h->MinComp() > strat->syzComp); |
---|
1803 | #ifdef KDEBUG |
---|
1804 | if (TEST_OPT_DEBUG) PrintS(" > syzComp\n"); |
---|
1805 | #endif |
---|
1806 | if (strat->homog) |
---|
1807 | h->SetDegStuffReturnLDeg(strat->LDegLast); |
---|
1808 | return -2; |
---|
1809 | } |
---|
1810 | } |
---|
1811 | #endif |
---|
1812 | if (!strat->homog) |
---|
1813 | { |
---|
1814 | if (!K_TEST_OPT_OLDSTD && strat->honey) |
---|
1815 | { |
---|
1816 | h->SetpFDeg(); |
---|
1817 | if (strat->T[j].ecart <= h->ecart) |
---|
1818 | h->ecart = d - h->GetpFDeg(); |
---|
1819 | else |
---|
1820 | h->ecart = d - h->GetpFDeg() + strat->T[j].ecart - h->ecart; |
---|
1821 | |
---|
1822 | d = h->GetpFDeg() + h->ecart; |
---|
1823 | } |
---|
1824 | else |
---|
1825 | d = h->SetDegStuffReturnLDeg(strat->LDegLast); |
---|
1826 | /*- try to reduce the s-polynomial -*/ |
---|
1827 | pass++; |
---|
1828 | /* |
---|
1829 | *test whether the polynomial should go to the lazyset L |
---|
1830 | *-if the degree jumps |
---|
1831 | *-if the number of pre-defined reductions jumps |
---|
1832 | */ |
---|
1833 | if (!K_TEST_OPT_REDTHROUGH && (strat->Ll >= 0) |
---|
1834 | && ((d >= reddeg) || (pass > strat->LazyPass))) |
---|
1835 | { |
---|
1836 | h->SetLmCurrRing(); |
---|
1837 | if (strat->posInLDependsOnLength) |
---|
1838 | h->SetLength(strat->length_pLength); |
---|
1839 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
---|
1840 | if (at <= strat->Ll) |
---|
1841 | { |
---|
1842 | int dummy=strat->sl; |
---|
1843 | /* if (kFindDivisibleByInS(strat,&dummy, h) < 0) */ |
---|
1844 | if (kFindDivisibleByInT(strat->T,strat->sevT, dummy, h) < 0) |
---|
1845 | return 1; |
---|
1846 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
1847 | #ifdef KDEBUG |
---|
1848 | if (TEST_OPT_DEBUG) Print(" degree jumped; ->L%d\n",at); |
---|
1849 | #endif |
---|
1850 | h->Clear(); |
---|
1851 | return -1; |
---|
1852 | } |
---|
1853 | } |
---|
1854 | if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d >= reddeg)) |
---|
1855 | { |
---|
1856 | reddeg = d+1; |
---|
1857 | Print(".%d",d);mflush(); |
---|
1858 | } |
---|
1859 | } |
---|
1860 | } |
---|
1861 | } |
---|
1862 | |
---|
1863 | void initBbaShift(ideal F,kStrategy strat) |
---|
1864 | { |
---|
1865 | int i; |
---|
1866 | idhdl h; |
---|
1867 | /* setting global variables ------------------- */ |
---|
1868 | strat->enterS = enterSBba; /* remains as is, we change enterT! */ |
---|
1869 | |
---|
1870 | strat->red = redFirstShift; /* no redHomog ! */ |
---|
1871 | |
---|
1872 | if (pLexOrder && strat->honey) |
---|
1873 | strat->initEcart = initEcartNormal; |
---|
1874 | else |
---|
1875 | strat->initEcart = initEcartBBA; |
---|
1876 | if (strat->honey) |
---|
1877 | strat->initEcartPair = initEcartPairMora; |
---|
1878 | else |
---|
1879 | strat->initEcartPair = initEcartPairBba; |
---|
1880 | strat->kIdeal = NULL; |
---|
1881 | //if (strat->ak==0) strat->kIdeal->rtyp=IDEAL_CMD; |
---|
1882 | //else strat->kIdeal->rtyp=MODUL_CMD; |
---|
1883 | //strat->kIdeal->data=(void *)strat->Shdl; |
---|
1884 | if ((TEST_OPT_WEIGHTM)&&(F!=NULL)) |
---|
1885 | { |
---|
1886 | //interred machen Aenderung |
---|
1887 | pFDegOld=pFDeg; |
---|
1888 | pLDegOld=pLDeg; |
---|
1889 | //h=ggetid("ecart"); |
---|
1890 | //if ((h!=NULL) /*&& (IDTYP(h)==INTVEC_CMD)*/) |
---|
1891 | //{ |
---|
1892 | // ecartWeights=iv2array(IDINTVEC(h)); |
---|
1893 | //} |
---|
1894 | //else |
---|
1895 | { |
---|
1896 | ecartWeights=(short *)omAlloc((pVariables+1)*sizeof(short)); |
---|
1897 | /*uses automatic computation of the ecartWeights to set them*/ |
---|
1898 | kEcartWeights(F->m,IDELEMS(F)-1,ecartWeights); |
---|
1899 | } |
---|
1900 | pRestoreDegProcs(totaldegreeWecart, maxdegreeWecart); |
---|
1901 | if (TEST_OPT_PROT) |
---|
1902 | { |
---|
1903 | for(i=1; i<=pVariables; i++) |
---|
1904 | Print(" %d",ecartWeights[i]); |
---|
1905 | PrintLn(); |
---|
1906 | mflush(); |
---|
1907 | } |
---|
1908 | } |
---|
1909 | } |
---|
1910 | #endif |
---|