1 | //! \file tgb.cc |
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2 | // multiple rings |
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3 | // shorten_tails und dessen Aufrufe pruefen wlength!!! |
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4 | /**************************************** |
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5 | * Computer Algebra System SINGULAR * |
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6 | ****************************************/ |
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7 | /* $Id: tgb.cc,v 1.111 2007-01-10 17:17:27 Singular Exp $ */ |
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8 | /* |
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9 | * ABSTRACT: slimgb and F4 implementation |
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10 | */ |
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11 | //#include <vector> |
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12 | //using namespace std; |
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13 | |
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14 | |
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15 | ///@TODO: delay nur auf Sugarvergrï¿œerung |
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16 | ///@TODO: grade aus ecartS, setze dazu strat->honey; und nutze p.ecart |
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17 | #include "mod2.h" |
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18 | #include "tgb.h" |
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19 | #include "tgb_internal.h" |
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20 | #include "tgbgauss.h" |
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21 | #include "F4.h" |
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22 | #include "digitech.h" |
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23 | #include "gring.h" |
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24 | #include "sca.h" |
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25 | |
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26 | #include "longrat.h" |
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27 | #define SR_HDL(A) ((long)(A)) |
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28 | static const int bundle_size=100; |
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29 | static const int delay_factor=3; |
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30 | int QlogSize(number n); |
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31 | #define ADD_LATER_SIZE 500 |
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32 | #if 1 |
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33 | static omBin lm_bin=NULL; |
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34 | |
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35 | static void simplify_poly(poly p, ring r) { |
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36 | assume(r==currRing); |
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37 | if (!rField_is_Zp(r)) |
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38 | { |
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39 | pCleardenom(p); |
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40 | pContent(p); //is a duplicate call, but belongs here |
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41 | } |
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42 | else |
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43 | pNorm(p); |
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44 | } |
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45 | //static const BOOLEAN up_to_radical=TRUE; |
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46 | |
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47 | int slim_nsize(number n, ring r) |
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48 | { |
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49 | if (rField_is_Zp(r)) |
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50 | { |
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51 | return 1; |
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52 | } |
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53 | if (rField_is_Q(r)) |
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54 | { |
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55 | return QlogSize(n); |
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56 | } |
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57 | else |
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58 | { |
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59 | return n_Size(n,r); |
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60 | } |
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61 | } |
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62 | static BOOLEAN monomial_root(poly m, ring r){ |
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63 | BOOLEAN changed=FALSE; |
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64 | int i; |
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65 | for(i=1;i<=rVar(r);i++){ |
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66 | int e=p_GetExp(m,i,r); |
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67 | if (e>1){ |
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68 | p_SetExp(m,i,1,r); |
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69 | changed=TRUE; |
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70 | } |
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71 | } |
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72 | if (changed) { |
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73 | p_Setm(m,r); |
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74 | } |
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75 | return changed; |
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76 | } |
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77 | static BOOLEAN polynomial_root(poly h, ring r){ |
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78 | poly got=gcd_of_terms(h,r); |
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79 | BOOLEAN changed=FALSE; |
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80 | if((got!=NULL) &&(TEST_V_UPTORADICAL)) { |
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81 | poly copy=p_Copy(got,r); |
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82 | //p_wrp(got,c->r); |
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83 | changed=monomial_root(got,r); |
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84 | if (changed) |
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85 | { |
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86 | poly div_by=pDivide(copy, got); |
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87 | poly iter=h; |
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88 | while(iter){ |
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89 | pExpVectorSub(iter,div_by); |
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90 | pIter(iter); |
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91 | } |
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92 | p_Delete(&div_by, r); |
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93 | if (TEST_OPT_PROT) |
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94 | PrintS("U"); |
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95 | } |
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96 | p_Delete(©,r); |
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97 | } |
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98 | p_Delete(&got,r); |
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99 | return changed; |
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100 | } |
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101 | static inline poly p_Init_Special(const ring r) |
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102 | { |
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103 | return p_Init(r,lm_bin); |
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104 | } |
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105 | static inline poly pOne_Special(const ring r=currRing) |
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106 | { |
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107 | poly rc = p_Init_Special(r); |
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108 | pSetCoeff0(rc,r->cf->nInit(1)); |
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109 | return rc; |
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110 | } |
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111 | // zum Initialiseren: in t_rep_gb plazieren: |
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112 | |
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113 | #endif |
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114 | #define LEN_VAR3 |
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115 | #define degbound(p) assume(pTotaldegree(p)<10) |
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116 | //#define inDebug(p) assume((debug_Ideal==NULL)||(kNF(debug_Ideal,NULL,p,0,0)==0)) |
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117 | |
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118 | //die meisten Varianten stossen sich an coef_buckets |
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119 | |
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120 | |
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121 | |
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122 | #ifdef LEN_VAR1 |
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123 | // erste Variante: Laenge: Anzahl der Monome |
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124 | inline int pSLength(poly p, int l) { |
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125 | return l; } |
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126 | inline int kSBucketLength(kBucket* bucket, poly lm) {return bucket_guess(bucket);} |
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127 | #endif |
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128 | |
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129 | #ifdef LEN_VAR2 |
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130 | // 2. Variante: Laenge: Platz fuer die Koeff. |
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131 | int pSLength(poly p,int l) |
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132 | { |
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133 | int s=0; |
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134 | while (p!=NULL) { s+=nSize(pGetCoeff(p));pIter(p); } |
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135 | return s; |
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136 | } |
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137 | int kSBucketLength(kBucket* b, poly lm) |
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138 | { |
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139 | int s=0; |
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140 | int i; |
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141 | for (i=MAX_BUCKET;i>=0;i--) |
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142 | { |
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143 | s+=pSLength(b->buckets[i],0); |
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144 | } |
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145 | return s; |
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146 | } |
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147 | #endif |
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148 | |
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149 | |
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150 | |
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151 | |
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152 | |
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153 | |
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154 | int QlogSize(number n){ |
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155 | |
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156 | if (SR_HDL(n) & SR_INT){ |
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157 | long i=SR_TO_INT(n); |
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158 | if (i==0) return 0; |
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159 | |
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160 | unsigned long v; |
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161 | v=(i>=0)?i:-i; |
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162 | int r = 0; |
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163 | |
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164 | while (v >>= 1) |
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165 | { |
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166 | r++; |
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167 | } |
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168 | return r+1; |
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169 | } |
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170 | //assume denominator is 0 |
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171 | return mpz_sizeinbase(&n->z,2); |
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172 | } |
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173 | |
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174 | |
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175 | #ifdef LEN_VAR3 |
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176 | inline wlen_type pSLength(poly p,int l) |
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177 | { |
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178 | wlen_type c; |
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179 | number coef=pGetCoeff(p); |
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180 | if (rField_is_Q(currRing)){ |
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181 | c=QlogSize(coef); |
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182 | } |
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183 | else |
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184 | c=nSize(coef); |
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185 | if (!(TEST_V_COEFSTRAT)) |
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186 | return (wlen_type)c*(wlen_type)l /*pLength(p)*/; |
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187 | else { |
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188 | wlen_type res=l; |
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189 | res*=c; |
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190 | res*=c; |
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191 | return res; |
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192 | } |
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193 | } |
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194 | //! TODO CoefBuckets bercksichtigen |
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195 | wlen_type kSBucketLength(kBucket* b, poly lm=NULL) |
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196 | { |
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197 | int s=0; |
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198 | wlen_type c; |
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199 | number coef; |
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200 | if(lm==NULL) |
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201 | coef=pGetCoeff(kBucketGetLm(b)); |
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202 | //c=nSize(pGetCoeff(kBucketGetLm(b))); |
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203 | else |
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204 | coef=pGetCoeff(lm); |
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205 | //c=nSize(pGetCoeff(lm)); |
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206 | if (rField_is_Q(currRing)){ |
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207 | c=QlogSize(coef); |
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208 | } |
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209 | else |
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210 | c=nSize(coef); |
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211 | |
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212 | int i; |
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213 | for (i=b->buckets_used;i>=0;i--) |
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214 | { |
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215 | assume((b->buckets_length[i]==0)||(b->buckets[i]!=NULL)); |
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216 | s+=b->buckets_length[i] /*pLength(b->buckets[i])*/; |
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217 | } |
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218 | #ifdef HAVE_COEF_BUCKETS |
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219 | assume(b->buckets[0]==kBucketGetLm(b)); |
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220 | if (b->coef[0]!=NULL){ |
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221 | |
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222 | if (rField_is_Q(currRing)){ |
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223 | int modifier=QlogSize(pGetCoeff(b->coef[0])); |
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224 | c+=modifier; |
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225 | } |
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226 | else{ |
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227 | int modifier=nSize(pGetCoeff(b->coef[0])); |
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228 | c*=modifier;} |
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229 | } |
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230 | #endif |
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231 | if (!(TEST_V_COEFSTRAT)){ |
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232 | return s*c; |
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233 | } else |
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234 | { |
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235 | wlen_type res=s; |
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236 | res*=c; |
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237 | res*=c; |
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238 | return res; |
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239 | } |
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240 | } |
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241 | #endif |
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242 | #ifdef LEN_VAR5 |
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243 | inline wlen_type pSLength(poly p,int l) |
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244 | { |
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245 | int c; |
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246 | number coef=pGetCoeff(p); |
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247 | if (rField_is_Q(currRing)){ |
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248 | c=QlogSize(coef); |
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249 | } |
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250 | else |
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251 | c=nSize(coef); |
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252 | wlen_type erg=l; |
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253 | erg*=c; |
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254 | erg*=c; |
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255 | //PrintS("lenvar 5"); |
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256 | assume(erg>=0); |
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257 | return erg; /*pLength(p)*/; |
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258 | } |
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259 | //! TODO CoefBuckets bercksichtigen |
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260 | wlen_type kSBucketLength(kBucket* b, poly lm=NULL) |
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261 | { |
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262 | wlen_type s=0; |
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263 | int c; |
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264 | number coef; |
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265 | if(lm==NULL) |
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266 | coef=pGetCoeff(kBucketGetLm(b)); |
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267 | //c=nSize(pGetCoeff(kBucketGetLm(b))); |
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268 | else |
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269 | coef=pGetCoeff(lm); |
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270 | //c=nSize(pGetCoeff(lm)); |
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271 | if (rField_is_Q(currRing)){ |
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272 | c=QlogSize(coef); |
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273 | } |
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274 | else |
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275 | c=nSize(coef); |
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276 | |
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277 | int i; |
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278 | for (i=b->buckets_used;i>=0;i--) |
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279 | { |
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280 | assume((b->buckets_length[i]==0)||(b->buckets[i]!=NULL)); |
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281 | s+=b->buckets_length[i] /*pLength(b->buckets[i])*/; |
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282 | } |
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283 | #ifdef HAVE_COEF_BUCKETS |
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284 | assume(b->buckets[0]==kBucketGetLm(b)); |
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285 | if (b->coef[0]!=NULL){ |
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286 | |
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287 | if (rField_is_Q(currRing)){ |
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288 | int modifier=QlogSize(pGetCoeff(b->coef[0])); |
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289 | c+=modifier; |
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290 | } |
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291 | else{ |
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292 | int modifier=nSize(pGetCoeff(b->coef[0])); |
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293 | c*=modifier;} |
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294 | } |
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295 | #endif |
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296 | wlen_type erg=s; |
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297 | erg*=c; |
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298 | erg*=c; |
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299 | return erg; |
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300 | } |
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301 | #endif |
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302 | |
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303 | #ifdef LEN_VAR4 |
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304 | // 4.Variante: Laenge: Platz fuer Leitk * (1+Platz fuer andere Koeff.) |
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305 | int pSLength(poly p, int l) |
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306 | { |
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307 | int s=1; |
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308 | int c=nSize(pGetCoeff(p)); |
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309 | pIter(p); |
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310 | while (p!=NULL) { s+=nSize(pGetCoeff(p));pIter(p); } |
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311 | return s*c; |
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312 | } |
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313 | int kSBucketLength(kBucket* b) |
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314 | { |
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315 | int s=1; |
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316 | int c=nSize(pGetCoeff(kBucketGetLm(b))); |
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317 | int i; |
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318 | for (i=MAX_BUCKET;i>0;i--) |
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319 | { |
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320 | if(b->buckets[i]==NULL) continue; |
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321 | s+=pSLength(b->buckets[i],0); |
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322 | } |
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323 | return s*c; |
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324 | } |
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325 | #endif |
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326 | //BUG/TODO this stuff will fail on internal Schreyer orderings |
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327 | static BOOLEAN elength_is_normal_length(poly p, slimgb_alg* c){ |
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328 | ring r=c->r; |
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329 | if (p_GetComp(p,r)!=0) return FALSE; |
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330 | if (c->lastDpBlockStart<=pVariables){ |
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331 | int i; |
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332 | for(i=1;i<=pVariables;i++){ |
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333 | if (p_GetExp(p,i,r)!=0){ |
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334 | break; |
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335 | } |
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336 | } |
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337 | if (i>=c->lastDpBlockStart) { |
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338 | //wrp(p); |
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339 | //PrintS("\n"); |
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340 | return TRUE; |
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341 | } |
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342 | else return FALSE; |
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343 | }else |
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344 | return FALSE; |
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345 | } |
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346 | static BOOLEAN get_last_dp_block_start(ring r){ |
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347 | //ring r=c->r; |
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348 | int last_block; |
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349 | |
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350 | if (rRing_has_CompLastBlock(r)){ |
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351 | last_block=rBlocks(r) - 3; |
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352 | } |
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353 | else {last_block=rBlocks(r)-2;} |
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354 | assume(last_block>=0); |
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355 | if (r->order[last_block]==ringorder_dp) |
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356 | return r->block0[last_block]; |
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357 | return pVariables+1; |
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358 | |
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359 | } |
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360 | |
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361 | static wlen_type do_pELength(poly p, slimgb_alg* c, int dlm=-1){ |
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362 | |
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363 | if(p==NULL) return 0; |
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364 | wlen_type s=0; |
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365 | poly pi=p; |
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366 | if(dlm<0){ |
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367 | dlm=pTotaldegree(p,c->r); |
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368 | s=1; |
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369 | pi=p->next; |
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370 | } |
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371 | |
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372 | while(pi){ |
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373 | int d=pTotaldegree(pi,c->r); |
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374 | if(d>dlm) |
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375 | s+=1+d-dlm; |
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376 | else |
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377 | ++s; |
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378 | pi=pi->next; |
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379 | } |
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380 | return s; |
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381 | } |
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382 | |
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383 | wlen_type pELength(poly p, ring r){ |
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384 | if(p==NULL) return 0; |
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385 | wlen_type s=0; |
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386 | poly pi=p; |
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387 | int dlm; |
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388 | dlm=pTotaldegree(p,r); |
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389 | s=1; |
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390 | pi=p->next; |
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391 | |
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392 | |
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393 | while(pi){ |
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394 | int d=pTotaldegree(pi,r); |
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395 | if(d>dlm) |
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396 | s+=1+d-dlm; |
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397 | else |
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398 | ++s; |
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399 | pi=pi->next; |
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400 | } |
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401 | return s; |
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402 | } |
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403 | |
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404 | wlen_type kEBucketLength(kBucket* b, poly lm,int sugar,slimgb_alg* ca) |
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405 | { |
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406 | wlen_type s=0; |
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407 | if(lm==NULL){ |
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408 | lm=kBucketGetLm(b); |
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409 | } |
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410 | if(lm==NULL) return 0; |
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411 | if(elength_is_normal_length(lm,ca)) { |
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412 | return bucket_guess(b); |
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413 | } |
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414 | int d=pTotaldegree(lm,ca->r); |
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415 | #if 1 |
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416 | assume(sugar>=d); |
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417 | s=1+(bucket_guess(b)-1)*(sugar-d+1); |
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418 | return s; |
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419 | #else |
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420 | |
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421 | |
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422 | //int d=pTotaldegree(lm,ca->r); |
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423 | int i; |
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424 | for (i=b->buckets_used;i>=0;i--) |
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425 | { |
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426 | if(b->buckets[i]==NULL) continue; |
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427 | |
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428 | if ((pTotaldegree(b->buckets[i])<=d) &&(elength_is_normal_length(b->buckets[i],ca))){ |
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429 | s+=b->buckets_length[i]; |
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430 | } else |
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431 | { |
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432 | s+=do_pELength(b->buckets[i],ca,d); |
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433 | } |
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434 | } |
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435 | return s; |
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436 | #endif |
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437 | } |
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438 | |
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439 | static inline int pELength(poly p, slimgb_alg* c,int l){ |
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440 | if (p==NULL) return 0; |
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441 | if ((l>0) &&(elength_is_normal_length(p,c))) |
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442 | return l; |
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443 | return do_pELength(p,c); |
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444 | } |
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445 | |
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446 | |
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447 | |
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448 | |
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449 | static inline wlen_type pQuality(poly p, slimgb_alg* c, int l=-1){ |
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450 | |
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451 | if(l<0) |
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452 | l=pLength(p); |
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453 | if(c->isDifficultField) { |
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454 | if(c->eliminationProblem){ |
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455 | wlen_type cs; |
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456 | number coef=pGetCoeff(p); |
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457 | if (rField_is_Q(currRing)){ |
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458 | cs=QlogSize(coef); |
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459 | } |
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460 | else |
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461 | cs=nSize(coef); |
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462 | wlen_type erg=cs; |
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463 | if(TEST_V_COEFSTRAT) |
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464 | erg*=cs; |
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465 | //erg*=cs;//for quadratic |
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466 | erg*=pELength(p,c,l); |
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467 | //FIXME: not quadratic coeff size |
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468 | //return cs*pELength(p,c,l); |
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469 | return erg; |
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470 | } |
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471 | //Print("I am here"); |
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472 | wlen_type r=pSLength(p,l); |
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473 | assume(r>=0); |
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474 | return r; |
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475 | } |
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476 | if(c->eliminationProblem) return pELength(p,c,l); |
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477 | return l; |
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478 | } |
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479 | |
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480 | static inline int pTotaldegree_full(poly p){ |
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481 | int r=0; |
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482 | while(p){ |
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483 | int d=pTotaldegree(p); |
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484 | r=si_max(r,d); |
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485 | pIter(p); |
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486 | } |
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487 | return r; |
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488 | } |
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489 | |
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490 | wlen_type red_object::guess_quality(slimgb_alg* c){ |
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491 | //works at the moment only for lenvar 1, because in different |
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492 | //case, you have to look on coefs |
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493 | wlen_type s=0; |
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494 | if (c->isDifficultField){ |
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495 | //s=kSBucketLength(bucket,this->p); |
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496 | if(c->eliminationProblem){ |
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497 | wlen_type cs; |
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498 | number coef; |
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499 | |
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500 | coef=pGetCoeff(kBucketGetLm(bucket)); |
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501 | //c=nSize(pGetCoeff(kBucketGetLm(b))); |
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502 | |
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503 | //c=nSize(pGetCoeff(lm)); |
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504 | if (rField_is_Q(currRing)){ |
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505 | cs=QlogSize(coef); |
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506 | } |
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507 | else |
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508 | cs=nSize(coef); |
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509 | #ifdef HAVE_COEF_BUCKETS |
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510 | if (bucket->coef[0]!=NULL){ |
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511 | if (rField_is_Q(currRing)){ |
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512 | int modifier=QlogSize(pGetCoeff(bucket->coef[0])); |
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513 | cs+=modifier; |
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514 | } |
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515 | else{ |
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516 | int modifier=nSize(pGetCoeff(bucket->coef[0])); |
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517 | cs*=modifier;} |
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518 | } |
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519 | #endif |
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520 | //FIXME:not quadratic |
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521 | wlen_type erg=kEBucketLength(this->bucket,this->p,this->sugar,c); |
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522 | //erg*=cs;//for quadratic |
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523 | erg*=cs; |
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524 | if (TEST_V_COEFSTRAT) |
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525 | erg*=cs; |
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526 | //return cs*kEBucketLength(this->bucket,this->p,c); |
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527 | return erg; |
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528 | } |
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529 | s=kSBucketLength(bucket,NULL); |
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530 | } |
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531 | else |
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532 | { |
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533 | if(c->eliminationProblem) |
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534 | //if (false) |
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535 | s=kEBucketLength(this->bucket,this->p,this->sugar,c); |
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536 | else s=bucket_guess(bucket); |
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537 | } |
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538 | |
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539 | return s; |
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540 | } |
---|
541 | |
---|
542 | |
---|
543 | |
---|
544 | static void finalize_reduction_step(reduction_step* r){ |
---|
545 | delete r; |
---|
546 | } |
---|
547 | static int LObject_better_gen(const void* ap, const void* bp) |
---|
548 | { |
---|
549 | LObject* a=*(LObject**)ap; |
---|
550 | LObject* b=*(LObject**)bp; |
---|
551 | return(pLmCmp(a->p,b->p)); |
---|
552 | } |
---|
553 | static int red_object_better_gen(const void* ap, const void* bp) |
---|
554 | { |
---|
555 | |
---|
556 | |
---|
557 | return(pLmCmp(((red_object*) ap)->p,((red_object*) bp)->p)); |
---|
558 | } |
---|
559 | |
---|
560 | |
---|
561 | static int pLmCmp_func_inverted(const void* ap1, const void* ap2){ |
---|
562 | poly p1,p2; |
---|
563 | p1=*((poly*) ap1); |
---|
564 | p2=*((poly*)ap2); |
---|
565 | |
---|
566 | return -pLmCmp(p1,p2); |
---|
567 | } |
---|
568 | |
---|
569 | int tgb_pair_better_gen2(const void* ap,const void* bp){ |
---|
570 | return(-tgb_pair_better_gen(ap,bp)); |
---|
571 | } |
---|
572 | int kFindDivisibleByInS_easy(kStrategy strat,const red_object & obj){ |
---|
573 | int i; |
---|
574 | long not_sev=~obj.sev; |
---|
575 | poly p=obj.p; |
---|
576 | for(i=0;i<=strat->sl;i++){ |
---|
577 | if (pLmShortDivisibleBy(strat->S[i],strat->sevS[i],p,not_sev)) |
---|
578 | return i; |
---|
579 | } |
---|
580 | return -1; |
---|
581 | } |
---|
582 | int kFindDivisibleByInS_easy(kStrategy strat,poly p, long sev){ |
---|
583 | int i; |
---|
584 | long not_sev=~sev; |
---|
585 | for(i=0;i<=strat->sl;i++){ |
---|
586 | if (pLmShortDivisibleBy(strat->S[i],strat->sevS[i],p,not_sev)) |
---|
587 | return i; |
---|
588 | } |
---|
589 | return -1; |
---|
590 | } |
---|
591 | static int posInPairs (sorted_pair_node** p, int pn, sorted_pair_node* qe,slimgb_alg* c,int an=0) |
---|
592 | { |
---|
593 | if(pn==0) return 0; |
---|
594 | |
---|
595 | int length=pn-1; |
---|
596 | int i; |
---|
597 | //int an = 0; |
---|
598 | int en= length; |
---|
599 | |
---|
600 | if (pair_better(qe,p[en],c)) |
---|
601 | return length+1; |
---|
602 | |
---|
603 | while(1) |
---|
604 | { |
---|
605 | //if (an >= en-1) |
---|
606 | if(en-1<=an) |
---|
607 | { |
---|
608 | if (pair_better(p[an],qe,c)) return an; |
---|
609 | return en; |
---|
610 | } |
---|
611 | i=(an+en) / 2; |
---|
612 | if (pair_better(p[i],qe,c)) |
---|
613 | en=i; |
---|
614 | else an=i; |
---|
615 | } |
---|
616 | } |
---|
617 | |
---|
618 | static BOOLEAN ascending(int* i,int top){ |
---|
619 | if(top<1) return TRUE; |
---|
620 | if(i[top]<i[top-1]) return FALSE; |
---|
621 | return ascending(i,top-1); |
---|
622 | } |
---|
623 | |
---|
624 | sorted_pair_node** spn_merge(sorted_pair_node** p, int pn,sorted_pair_node **q, int qn,slimgb_alg* c){ |
---|
625 | int i; |
---|
626 | int* a= (int*) omalloc(qn*sizeof(int)); |
---|
627 | // int mc; |
---|
628 | // PrintS("Debug\n"); |
---|
629 | // for(mc=0;mc<qn;mc++) |
---|
630 | // { |
---|
631 | |
---|
632 | // wrp(q[mc]->lcm_of_lm); |
---|
633 | // PrintS("\n"); |
---|
634 | // } |
---|
635 | // PrintS("Debug they are in\n"); |
---|
636 | // for(mc=0;mc<pn;mc++) |
---|
637 | // { |
---|
638 | |
---|
639 | // wrp(p[mc]->lcm_of_lm); |
---|
640 | // PrintS("\n"); |
---|
641 | // } |
---|
642 | int lastpos=0; |
---|
643 | for(i=0;i<qn;i++){ |
---|
644 | lastpos=posInPairs(p,pn,q[i],c, si_max(lastpos-1,0)); |
---|
645 | // cout<<lastpos<<"\n"; |
---|
646 | a[i]=lastpos; |
---|
647 | |
---|
648 | } |
---|
649 | if((pn+qn)>c->max_pairs){ |
---|
650 | p=(sorted_pair_node**) omrealloc(p,2*(pn+qn)*sizeof(sorted_pair_node*)); |
---|
651 | c->max_pairs=2*(pn+qn); |
---|
652 | } |
---|
653 | for(i=qn-1;i>=0;i--){ |
---|
654 | size_t size; |
---|
655 | if(qn-1>i) |
---|
656 | size=(a[i+1]-a[i])*sizeof(sorted_pair_node*); |
---|
657 | else |
---|
658 | size=(pn-a[i])*sizeof(sorted_pair_node*); //as indices begin with 0 |
---|
659 | memmove (p+a[i]+(1+i), p+a[i], size); |
---|
660 | p[a[i]+i]=q[i]; |
---|
661 | } |
---|
662 | omfree(a); |
---|
663 | return p; |
---|
664 | } |
---|
665 | |
---|
666 | |
---|
667 | static BOOLEAN trivial_syzygie(int pos1,int pos2,poly bound,slimgb_alg* c){ |
---|
668 | |
---|
669 | |
---|
670 | poly p1=c->S->m[pos1]; |
---|
671 | poly p2=c->S->m[pos2]; |
---|
672 | |
---|
673 | |
---|
674 | if (pGetComp(p1) > 0 || pGetComp(p2) > 0) |
---|
675 | return FALSE; |
---|
676 | int i = 1; |
---|
677 | poly m=NULL; |
---|
678 | poly gcd1=c->gcd_of_terms[pos1]; |
---|
679 | poly gcd2=c->gcd_of_terms[pos2]; |
---|
680 | |
---|
681 | if((gcd1!=NULL) && (gcd2!=NULL)) |
---|
682 | { |
---|
683 | gcd1->next=gcd2; //may ordered incorrect |
---|
684 | m=gcd_of_terms(gcd1,c->r); |
---|
685 | gcd1->next=NULL; |
---|
686 | |
---|
687 | } |
---|
688 | |
---|
689 | if (m==NULL) |
---|
690 | { |
---|
691 | loop |
---|
692 | { |
---|
693 | if (pGetExp(p1, i)+ pGetExp(p2, i) > pGetExp(bound,i)) return FALSE; |
---|
694 | if (i == pVariables){ |
---|
695 | //PrintS("trivial"); |
---|
696 | return TRUE; |
---|
697 | } |
---|
698 | i++; |
---|
699 | } |
---|
700 | } |
---|
701 | else |
---|
702 | { |
---|
703 | loop |
---|
704 | { |
---|
705 | if (pGetExp(p1, i)-pGetExp(m,i) + pGetExp(p2, i) > pGetExp(bound,i)) return FALSE; |
---|
706 | if (i == pVariables){ |
---|
707 | pDelete(&m); |
---|
708 | //PrintS("trivial"); |
---|
709 | return TRUE; |
---|
710 | } |
---|
711 | i++; |
---|
712 | } |
---|
713 | } |
---|
714 | |
---|
715 | |
---|
716 | |
---|
717 | |
---|
718 | } |
---|
719 | |
---|
720 | //! returns position sets w as weight |
---|
721 | int find_best(red_object* r,int l, int u, wlen_type &w, slimgb_alg* c){ |
---|
722 | int best=l; |
---|
723 | int i; |
---|
724 | w=r[l].guess_quality(c); |
---|
725 | for(i=l+1;i<=u;i++){ |
---|
726 | wlen_type w2=r[i].guess_quality(c); |
---|
727 | if(w2<w){ |
---|
728 | w=w2; |
---|
729 | best=i; |
---|
730 | } |
---|
731 | |
---|
732 | } |
---|
733 | return best; |
---|
734 | } |
---|
735 | |
---|
736 | |
---|
737 | void red_object::canonicalize(){ |
---|
738 | kBucketCanonicalize(bucket); |
---|
739 | |
---|
740 | |
---|
741 | } |
---|
742 | BOOLEAN good_has_t_rep(int i, int j,slimgb_alg* c){ |
---|
743 | assume(i>=0); |
---|
744 | assume(j>=0); |
---|
745 | if (has_t_rep(i,j,c)) return TRUE; |
---|
746 | //poly lm=pOne(); |
---|
747 | assume (c->tmp_lm!=NULL); |
---|
748 | poly lm=c->tmp_lm; |
---|
749 | |
---|
750 | pLcm(c->S->m[i], c->S->m[j], lm); |
---|
751 | pSetm(lm); |
---|
752 | assume(lm!=NULL); |
---|
753 | //int deciding_deg= pTotaldegree(lm); |
---|
754 | int* i_con =make_connections(i,j,lm,c); |
---|
755 | //p_Delete(&lm,c->r); |
---|
756 | |
---|
757 | |
---|
758 | for (int n=0;((n<c->n) && (i_con[n]>=0));n++){ |
---|
759 | if (i_con[n]==j){ |
---|
760 | now_t_rep(i,j,c); |
---|
761 | omfree(i_con); |
---|
762 | |
---|
763 | return TRUE; |
---|
764 | } |
---|
765 | } |
---|
766 | omfree(i_con); |
---|
767 | |
---|
768 | return FALSE; |
---|
769 | } |
---|
770 | BOOLEAN lenS_correct(kStrategy strat){ |
---|
771 | int i; |
---|
772 | for(i=0;i<=strat->sl;i++){ |
---|
773 | if (strat->lenS[i]!=pLength(strat->S[i])) |
---|
774 | return FALSE; |
---|
775 | } |
---|
776 | return TRUE; |
---|
777 | } |
---|
778 | |
---|
779 | |
---|
780 | static void cleanS(kStrategy strat, slimgb_alg* c){ |
---|
781 | int i=0; |
---|
782 | LObject P; |
---|
783 | while(i<=strat->sl) |
---|
784 | { |
---|
785 | P.p=strat->S[i]; |
---|
786 | P.sev=strat->sevS[i]; |
---|
787 | int dummy=strat->sl; |
---|
788 | //if(kFindDivisibleByInS(strat,&dummy,&P)!=i) |
---|
789 | if (kFindDivisibleByInS_easy(strat,P.p,P.sev)!=i) |
---|
790 | { |
---|
791 | deleteInS(i,strat); |
---|
792 | //remember destroying poly |
---|
793 | BOOLEAN found=FALSE; |
---|
794 | int j; |
---|
795 | for(j=0;j<c->n;j++) |
---|
796 | { |
---|
797 | if(c->S->m[j]==P.p) |
---|
798 | { |
---|
799 | found=TRUE; |
---|
800 | break; |
---|
801 | } |
---|
802 | } |
---|
803 | if (!found) |
---|
804 | pDelete(&P.p); |
---|
805 | //remember additional reductors |
---|
806 | } |
---|
807 | else i++; |
---|
808 | } |
---|
809 | } |
---|
810 | static int bucket_guess(kBucket* bucket){ |
---|
811 | int sum=0; |
---|
812 | int i; |
---|
813 | for (i=bucket->buckets_used;i>=0;i--){ |
---|
814 | if(bucket->buckets[i]) |
---|
815 | sum+=bucket->buckets_length[i]; |
---|
816 | } |
---|
817 | return sum; |
---|
818 | } |
---|
819 | |
---|
820 | |
---|
821 | |
---|
822 | |
---|
823 | |
---|
824 | |
---|
825 | static int add_to_reductors(slimgb_alg* c, poly h, int len, int ecart, BOOLEAN simplified){ |
---|
826 | //inDebug(h); |
---|
827 | assume(lenS_correct(c->strat)); |
---|
828 | assume(len==pLength(h)); |
---|
829 | int i; |
---|
830 | // if (c->isDifficultField) |
---|
831 | // i=simple_posInS(c->strat,h,pSLength(h,len),c->isDifficultField); |
---|
832 | // else |
---|
833 | // i=simple_posInS(c->strat,h,len,c->isDifficultField); |
---|
834 | |
---|
835 | LObject P; memset(&P,0,sizeof(P)); |
---|
836 | P.tailRing=c->r; |
---|
837 | P.p=h; /*p_Copy(h,c->r);*/ |
---|
838 | P.ecart=ecart; |
---|
839 | P.FDeg=pFDeg(P.p,c->r); |
---|
840 | if (!(simplified)){ |
---|
841 | if (!rField_is_Zp(c->r)){ |
---|
842 | pCleardenom(P.p); |
---|
843 | pContent(P.p); //is a duplicate call, but belongs here |
---|
844 | |
---|
845 | } |
---|
846 | else |
---|
847 | pNorm(P.p); |
---|
848 | pNormalize(P.p); |
---|
849 | } |
---|
850 | wlen_type pq=pQuality(h,c,len); |
---|
851 | i=simple_posInS(c->strat,h,len,pq); |
---|
852 | c->strat->enterS(P,i,c->strat,-1); |
---|
853 | |
---|
854 | |
---|
855 | |
---|
856 | c->strat->lenS[i]=len; |
---|
857 | assume(pLength(c->strat->S[i])==c->strat->lenS[i]); |
---|
858 | if(c->strat->lenSw!=NULL) |
---|
859 | c->strat->lenSw[i]=pq; |
---|
860 | |
---|
861 | return i; |
---|
862 | |
---|
863 | } |
---|
864 | static void length_one_crit(slimgb_alg* c, int pos, int len) |
---|
865 | { |
---|
866 | if (c->nc) |
---|
867 | return; |
---|
868 | if (len==1) |
---|
869 | { |
---|
870 | int i; |
---|
871 | for ( i=0;i<pos;i++) |
---|
872 | { |
---|
873 | if (c->lengths[i]==1) |
---|
874 | c->states[pos][i]=HASTREP; |
---|
875 | } |
---|
876 | for ( i=pos+1;i<c->n;i++){ |
---|
877 | if (c->lengths[i]==1) |
---|
878 | c->states[i][pos]=HASTREP; |
---|
879 | } |
---|
880 | if (!c->nc) |
---|
881 | shorten_tails(c,c->S->m[pos]); |
---|
882 | } |
---|
883 | } |
---|
884 | |
---|
885 | |
---|
886 | static void move_forward_in_S(int old_pos, int new_pos,kStrategy strat) |
---|
887 | { |
---|
888 | assume(old_pos>=new_pos); |
---|
889 | poly p=strat->S[old_pos]; |
---|
890 | int ecart=strat->ecartS[old_pos]; |
---|
891 | long sev=strat->sevS[old_pos]; |
---|
892 | int s_2_r=strat->S_2_R[old_pos]; |
---|
893 | int length=strat->lenS[old_pos]; |
---|
894 | assume(length==pLength(strat->S[old_pos])); |
---|
895 | wlen_type length_w; |
---|
896 | if(strat->lenSw!=NULL) |
---|
897 | length_w=strat->lenSw[old_pos]; |
---|
898 | int i; |
---|
899 | for (i=old_pos; i>new_pos; i--) |
---|
900 | { |
---|
901 | strat->S[i] = strat->S[i-1]; |
---|
902 | strat->ecartS[i] = strat->ecartS[i-1]; |
---|
903 | strat->sevS[i] = strat->sevS[i-1]; |
---|
904 | strat->S_2_R[i] = strat->S_2_R[i-1]; |
---|
905 | } |
---|
906 | if (strat->lenS!=NULL) |
---|
907 | for (i=old_pos; i>new_pos; i--) |
---|
908 | strat->lenS[i] = strat->lenS[i-1]; |
---|
909 | if (strat->lenSw!=NULL) |
---|
910 | for (i=old_pos; i>new_pos; i--) |
---|
911 | strat->lenSw[i] = strat->lenSw[i-1]; |
---|
912 | |
---|
913 | strat->S[new_pos]=p; |
---|
914 | strat->ecartS[new_pos]=ecart; |
---|
915 | strat->sevS[new_pos]=sev; |
---|
916 | strat->S_2_R[new_pos]=s_2_r; |
---|
917 | strat->lenS[new_pos]=length; |
---|
918 | if(strat->lenSw!=NULL) |
---|
919 | strat->lenSw[new_pos]=length_w; |
---|
920 | //assume(lenS_correct(strat)); |
---|
921 | } |
---|
922 | |
---|
923 | static int* make_connections(int from, int to, poly bound, slimgb_alg* c) |
---|
924 | { |
---|
925 | ideal I=c->S; |
---|
926 | int* cans=(int*) omalloc(c->n*sizeof(int)); |
---|
927 | int* connected=(int*) omalloc(c->n*sizeof(int)); |
---|
928 | cans[0]=to; |
---|
929 | int cans_length=1; |
---|
930 | connected[0]=from; |
---|
931 | int last_cans_pos=-1; |
---|
932 | int connected_length=1; |
---|
933 | long neg_bounds_short= ~p_GetShortExpVector(bound,c->r); |
---|
934 | |
---|
935 | int not_yet_found=cans_length; |
---|
936 | int con_checked=0; |
---|
937 | int pos; |
---|
938 | |
---|
939 | while(TRUE){ |
---|
940 | if ((con_checked<connected_length)&& (not_yet_found>0)){ |
---|
941 | pos=connected[con_checked]; |
---|
942 | for(int i=0;i<cans_length;i++){ |
---|
943 | if (cans[i]<0) continue; |
---|
944 | //FIXME: triv. syz. does not hold on noncommutative, check it for modules |
---|
945 | if ((has_t_rep(pos,cans[i],c)) ||((!rIsPluralRing(c->r))&&(trivial_syzygie(pos,cans[i],bound,c)))) |
---|
946 | { |
---|
947 | |
---|
948 | connected[connected_length]=cans[i]; |
---|
949 | connected_length++; |
---|
950 | cans[i]=-1; |
---|
951 | --not_yet_found; |
---|
952 | |
---|
953 | if (connected[connected_length-1]==to){ |
---|
954 | if (connected_length<c->n){ |
---|
955 | connected[connected_length]=-1; |
---|
956 | } |
---|
957 | omfree(cans); |
---|
958 | return connected; |
---|
959 | } |
---|
960 | } |
---|
961 | } |
---|
962 | con_checked++; |
---|
963 | } |
---|
964 | else |
---|
965 | { |
---|
966 | for(last_cans_pos++;last_cans_pos<=c->n;last_cans_pos++){ |
---|
967 | if (last_cans_pos==c->n){ |
---|
968 | if (connected_length<c->n){ |
---|
969 | connected[connected_length]=-1; |
---|
970 | } |
---|
971 | omfree(cans); |
---|
972 | return connected; |
---|
973 | } |
---|
974 | if ((last_cans_pos==from)||(last_cans_pos==to)) |
---|
975 | continue; |
---|
976 | if(p_LmShortDivisibleBy(I->m[last_cans_pos],c->short_Exps[last_cans_pos],bound,neg_bounds_short,c->r)){ |
---|
977 | cans[cans_length]=last_cans_pos; |
---|
978 | cans_length++; |
---|
979 | break; |
---|
980 | } |
---|
981 | } |
---|
982 | not_yet_found++; |
---|
983 | for (int i=0;i<con_checked;i++){ |
---|
984 | if (has_t_rep(connected[i],last_cans_pos,c)){ |
---|
985 | |
---|
986 | connected[connected_length]=last_cans_pos; |
---|
987 | connected_length++; |
---|
988 | cans[cans_length-1]=-1; |
---|
989 | |
---|
990 | --not_yet_found; |
---|
991 | if (connected[connected_length-1]==to){ |
---|
992 | if (connected_length<c->n){ |
---|
993 | connected[connected_length]=-1; |
---|
994 | } |
---|
995 | |
---|
996 | omfree(cans); |
---|
997 | return connected; |
---|
998 | } |
---|
999 | break; |
---|
1000 | } |
---|
1001 | } |
---|
1002 | } |
---|
1003 | } |
---|
1004 | if (connected_length<c->n){ |
---|
1005 | connected[connected_length]=-1; |
---|
1006 | } |
---|
1007 | |
---|
1008 | omfree(cans); |
---|
1009 | return connected; |
---|
1010 | } |
---|
1011 | #ifdef HEAD_BIN |
---|
1012 | static inline poly p_MoveHead(poly p, omBin b) |
---|
1013 | { |
---|
1014 | poly np; |
---|
1015 | omTypeAllocBin(poly, np, b); |
---|
1016 | memmove(np, p, b->sizeW*sizeof(long)); |
---|
1017 | omFreeBinAddr(p); |
---|
1018 | return np; |
---|
1019 | } |
---|
1020 | #endif |
---|
1021 | |
---|
1022 | static void replace_pair(int & i, int & j,slimgb_alg* c) |
---|
1023 | { |
---|
1024 | if (i<0) return; |
---|
1025 | c->soon_free=NULL; |
---|
1026 | int syz_deg; |
---|
1027 | poly lm=pOne(); |
---|
1028 | |
---|
1029 | pLcm(c->S->m[i], c->S->m[j], lm); |
---|
1030 | pSetm(lm); |
---|
1031 | |
---|
1032 | int* i_con =make_connections(i,j,lm,c); |
---|
1033 | |
---|
1034 | for (int n=0;((n<c->n) && (i_con[n]>=0));n++){ |
---|
1035 | if (i_con[n]==j){ |
---|
1036 | now_t_rep(i,j,c); |
---|
1037 | omfree(i_con); |
---|
1038 | p_Delete(&lm,c->r); |
---|
1039 | return; |
---|
1040 | } |
---|
1041 | } |
---|
1042 | |
---|
1043 | int* j_con =make_connections(j,i,lm,c); |
---|
1044 | |
---|
1045 | // if(c->n>1){ |
---|
1046 | // if (i_con[1]>=0) |
---|
1047 | // i=i_con[1]; |
---|
1048 | // else { |
---|
1049 | // if (j_con[1]>=0) |
---|
1050 | // j=j_con[1]; |
---|
1051 | // } |
---|
1052 | // } |
---|
1053 | |
---|
1054 | int sugar=pTotaldegree(lm); |
---|
1055 | p_Delete(&lm, c->r); |
---|
1056 | if(c->T_deg_full)//Sugar |
---|
1057 | { |
---|
1058 | int t_i=c->T_deg_full[i]-c->T_deg[i]; |
---|
1059 | int t_j=c->T_deg_full[j]-c->T_deg[j]; |
---|
1060 | sugar+=si_max(t_i,t_j); |
---|
1061 | //Print("\n max: %d\n",max(t_i,t_j)); |
---|
1062 | } |
---|
1063 | |
---|
1064 | |
---|
1065 | |
---|
1066 | |
---|
1067 | |
---|
1068 | for (int m=0;((m<c->n) && (i_con[m]>=0));m++){ |
---|
1069 | if(c->T_deg_full!=NULL){ |
---|
1070 | int s1=c->T_deg_full[i_con[m]]+syz_deg-c->T_deg[i_con[m]]; |
---|
1071 | if (s1>sugar) continue; |
---|
1072 | } |
---|
1073 | if (c->weighted_lengths[i_con[m]]<c->weighted_lengths[i]) |
---|
1074 | i=i_con[m]; |
---|
1075 | } |
---|
1076 | for (int m=0;((m<c->n) && (j_con[m]>=0));m++){ |
---|
1077 | if (c->T_deg_full!=NULL){ |
---|
1078 | int s1=c->T_deg_full[j_con[m]]+syz_deg-c->T_deg[j_con[m]]; |
---|
1079 | if (s1>sugar) continue;} |
---|
1080 | if (c->weighted_lengths[j_con[m]]<c->weighted_lengths[j]) |
---|
1081 | j=j_con[m]; |
---|
1082 | } |
---|
1083 | |
---|
1084 | //can also try dependend search |
---|
1085 | omfree(i_con); |
---|
1086 | omfree(j_con); |
---|
1087 | return; |
---|
1088 | } |
---|
1089 | |
---|
1090 | |
---|
1091 | static void add_later(poly p, char* prot, slimgb_alg* c){ |
---|
1092 | int i=0; |
---|
1093 | //check, if it is already in the queue |
---|
1094 | |
---|
1095 | |
---|
1096 | while(c->add_later->m[i]!=NULL){ |
---|
1097 | if (p_LmEqual(c->add_later->m[i],p,c->r)) |
---|
1098 | return; |
---|
1099 | i++; |
---|
1100 | } |
---|
1101 | if (TEST_OPT_PROT) |
---|
1102 | PrintS(prot); |
---|
1103 | c->add_later->m[i]=p; |
---|
1104 | } |
---|
1105 | static int simple_posInS (kStrategy strat, poly p,int len, wlen_type wlen) |
---|
1106 | { |
---|
1107 | |
---|
1108 | |
---|
1109 | if(strat->sl==-1) return 0; |
---|
1110 | if (strat->lenSw) return pos_helper(strat,p,(wlen_type) wlen,(wlen_set) strat->lenSw,strat->S); |
---|
1111 | return pos_helper(strat,p,len,strat->lenS,strat->S); |
---|
1112 | |
---|
1113 | } |
---|
1114 | |
---|
1115 | /*2 |
---|
1116 | *if the leading term of p |
---|
1117 | *divides the leading term of some S[i] it will be canceled |
---|
1118 | */ |
---|
1119 | static inline void clearS (poly p, unsigned long p_sev,int l, int* at, int* k, |
---|
1120 | kStrategy strat) |
---|
1121 | { |
---|
1122 | assume(p_sev == pGetShortExpVector(p)); |
---|
1123 | if (!pLmShortDivisibleBy(p,p_sev, strat->S[*at], ~ strat->sevS[*at])) return; |
---|
1124 | if (l>=strat->lenS[*at]) return; |
---|
1125 | if (TEST_OPT_PROT) |
---|
1126 | PrintS("!"); |
---|
1127 | mflush(); |
---|
1128 | //pDelete(&strat->S[*at]); |
---|
1129 | deleteInS((*at),strat); |
---|
1130 | (*at)--; |
---|
1131 | (*k)--; |
---|
1132 | // assume(lenS_correct(strat)); |
---|
1133 | } |
---|
1134 | |
---|
1135 | |
---|
1136 | |
---|
1137 | static int iq_crit(const void* ap,const void* bp){ |
---|
1138 | |
---|
1139 | sorted_pair_node* a=*((sorted_pair_node**)ap); |
---|
1140 | sorted_pair_node* b=*((sorted_pair_node**)bp); |
---|
1141 | assume(a->i>a->j); |
---|
1142 | assume(b->i>b->j); |
---|
1143 | |
---|
1144 | |
---|
1145 | if (a->deg<b->deg) return -1; |
---|
1146 | if (a->deg>b->deg) return 1; |
---|
1147 | int comp=pLmCmp(a->lcm_of_lm, b->lcm_of_lm); |
---|
1148 | if(comp!=0) |
---|
1149 | return comp; |
---|
1150 | if (a->expected_length<b->expected_length) return -1; |
---|
1151 | if (a->expected_length>b->expected_length) return 1; |
---|
1152 | if (a->j>b->j) return 1; |
---|
1153 | if (a->j<b->j) return -1; |
---|
1154 | return 0; |
---|
1155 | } |
---|
1156 | static wlen_type coeff_mult_size_estimate(int s1, int s2, ring r){ |
---|
1157 | if (rField_is_Q(r)) return s1+s2; |
---|
1158 | else return s1*s2; |
---|
1159 | } |
---|
1160 | static wlen_type pair_weighted_length(int i, int j, slimgb_alg* c){ |
---|
1161 | if ((c->isDifficultField) && (c->eliminationProblem)) { |
---|
1162 | int c1=slim_nsize(p_GetCoeff(c->S->m[i],c->r),c->r); |
---|
1163 | int c2=slim_nsize(p_GetCoeff(c->S->m[j],c->r),c->r); |
---|
1164 | wlen_type el1=c->weighted_lengths[i]/c1; |
---|
1165 | assume(el1!=0); |
---|
1166 | assume(c->weighted_lengths[i] %c1==0); |
---|
1167 | wlen_type el2=c->weighted_lengths[j]/c2; |
---|
1168 | assume(el2!=0); |
---|
1169 | assume(c->weighted_lengths[j] %c2==0); |
---|
1170 | //should be * for function fields |
---|
1171 | //return (c1+c2) * (el1+el2-2); |
---|
1172 | wlen_type res=coeff_mult_size_estimate(c1,c2,c->r); |
---|
1173 | res*=el1+el2-2; |
---|
1174 | return res; |
---|
1175 | |
---|
1176 | } |
---|
1177 | if (c->isDifficultField) { |
---|
1178 | //int cs=slim_nsize(p_GetCoeff(c->S->m[i],c->r),c->r)+ |
---|
1179 | // slim_nsize(p_GetCoeff(c->S->m[j],c->r),c->r); |
---|
1180 | if(!(TEST_V_COEFSTRAT)){ |
---|
1181 | wlen_type cs= |
---|
1182 | coeff_mult_size_estimate( |
---|
1183 | slim_nsize(p_GetCoeff(c->S->m[i],c->r),c->r), |
---|
1184 | slim_nsize(p_GetCoeff(c->S->m[j],c->r),c->r),c->r); |
---|
1185 | return (wlen_type)(c->lengths[i]+c->lengths[j]-2)* |
---|
1186 | (wlen_type)cs;} |
---|
1187 | else { |
---|
1188 | |
---|
1189 | wlen_type cs= |
---|
1190 | coeff_mult_size_estimate( |
---|
1191 | slim_nsize(p_GetCoeff(c->S->m[i],c->r),c->r), |
---|
1192 | slim_nsize(p_GetCoeff(c->S->m[j],c->r),c->r),c->r); |
---|
1193 | cs*=cs; |
---|
1194 | return (wlen_type)(c->lengths[i]+c->lengths[j]-2)* |
---|
1195 | (wlen_type)cs; |
---|
1196 | } |
---|
1197 | } |
---|
1198 | if (c->eliminationProblem) { |
---|
1199 | |
---|
1200 | return (c->weighted_lengths[i]+c->weighted_lengths[j]-2); |
---|
1201 | } |
---|
1202 | return c->lengths[i]+c->lengths[j]-2; |
---|
1203 | |
---|
1204 | } |
---|
1205 | sorted_pair_node** add_to_basis_ideal_quotient(poly h, slimgb_alg* c, int* ip) |
---|
1206 | { |
---|
1207 | |
---|
1208 | assume(h!=NULL); |
---|
1209 | poly got=gcd_of_terms(h,c->r); |
---|
1210 | if((got!=NULL) &&(TEST_V_UPTORADICAL)) { |
---|
1211 | poly copy=p_Copy(got,c->r); |
---|
1212 | //p_wrp(got,c->r); |
---|
1213 | BOOLEAN changed=monomial_root(got,c->r); |
---|
1214 | if (changed) |
---|
1215 | { |
---|
1216 | poly div_by=pDivide(copy, got); |
---|
1217 | poly iter=h; |
---|
1218 | while(iter){ |
---|
1219 | pExpVectorSub(iter,div_by); |
---|
1220 | pIter(iter); |
---|
1221 | } |
---|
1222 | p_Delete(&div_by, c->r); |
---|
1223 | PrintS("U"); |
---|
1224 | } |
---|
1225 | p_Delete(©,c->r); |
---|
1226 | } |
---|
1227 | |
---|
1228 | #define ENLARGE(pointer, type) pointer=(type*) omrealloc(pointer, c->array_lengths*sizeof(type)) |
---|
1229 | // BOOLEAN corr=lenS_correct(c->strat); |
---|
1230 | BOOLEAN R_found=FALSE; |
---|
1231 | void* hp; |
---|
1232 | int sugar; |
---|
1233 | int ecart=0; |
---|
1234 | ++(c->n); |
---|
1235 | ++(c->S->ncols); |
---|
1236 | int i,j; |
---|
1237 | i=c->n-1; |
---|
1238 | sorted_pair_node** nodes=(sorted_pair_node**) omalloc(sizeof(sorted_pair_node*)*i); |
---|
1239 | int spc=0; |
---|
1240 | if(c->n>c->array_lengths){ |
---|
1241 | c->array_lengths=c->array_lengths*2; |
---|
1242 | assume(c->array_lengths>=c->n); |
---|
1243 | ENLARGE(c->T_deg, int); |
---|
1244 | ENLARGE(c->tmp_pair_lm,poly); |
---|
1245 | ENLARGE(c->tmp_spn,sorted_pair_node*); |
---|
1246 | |
---|
1247 | ENLARGE(c->short_Exps,long); |
---|
1248 | ENLARGE(c->lengths,int); |
---|
1249 | #ifndef HAVE_BOOST |
---|
1250 | #ifndef USE_STDVECBOOL |
---|
1251 | |
---|
1252 | ENLARGE(c->states, char*); |
---|
1253 | #endif |
---|
1254 | #endif |
---|
1255 | ENLARGE(c->gcd_of_terms,poly); |
---|
1256 | //if (c->weighted_lengths!=NULL) { |
---|
1257 | ENLARGE(c->weighted_lengths,wlen_type); |
---|
1258 | //} |
---|
1259 | //ENLARGE(c->S->m,poly); |
---|
1260 | |
---|
1261 | } |
---|
1262 | pEnlargeSet(&c->S->m,c->n-1,1); |
---|
1263 | if (c->T_deg_full) |
---|
1264 | ENLARGE(c->T_deg_full,int); |
---|
1265 | sugar=c->T_deg[i]=pTotaldegree(h); |
---|
1266 | if(c->T_deg_full){ |
---|
1267 | sugar=c->T_deg_full[i]=pTotaldegree_full(h); |
---|
1268 | ecart=sugar-c->T_deg[i]; |
---|
1269 | assume(ecart>=0); |
---|
1270 | } |
---|
1271 | |
---|
1272 | |
---|
1273 | c->tmp_pair_lm[i]=pOne_Special(c->r); |
---|
1274 | |
---|
1275 | |
---|
1276 | c->tmp_spn[i]=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
1277 | |
---|
1278 | |
---|
1279 | c->lengths[i]=pLength(h); |
---|
1280 | |
---|
1281 | //necessary for correct weighted length |
---|
1282 | |
---|
1283 | if (!rField_is_Zp(c->r)){ |
---|
1284 | pCleardenom(h); |
---|
1285 | pContent(h); //is a duplicate call, but belongs here |
---|
1286 | |
---|
1287 | } |
---|
1288 | else |
---|
1289 | pNorm(h); |
---|
1290 | pNormalize(h); |
---|
1291 | |
---|
1292 | c->weighted_lengths[i]=pQuality(h, c, c->lengths[i]); |
---|
1293 | c->gcd_of_terms[i]=got; |
---|
1294 | #ifdef HAVE_BOOST |
---|
1295 | c->states.push_back(dynamic_bitset<>(i)); |
---|
1296 | |
---|
1297 | #else |
---|
1298 | #ifdef USE_STDVECBOOL |
---|
1299 | |
---|
1300 | c->states.push_back(vector<bool>(i)); |
---|
1301 | |
---|
1302 | |
---|
1303 | #else |
---|
1304 | if (i>0) |
---|
1305 | c->states[i]=(char*) omalloc(i*sizeof(char)); |
---|
1306 | else |
---|
1307 | c->states[i]=NULL; |
---|
1308 | #endif |
---|
1309 | #endif |
---|
1310 | |
---|
1311 | c->S->m[i]=h; |
---|
1312 | c->short_Exps[i]=p_GetShortExpVector(h,c->r); |
---|
1313 | |
---|
1314 | #undef ENLARGE |
---|
1315 | if (p_GetComp(h,currRing)<=c->syz_comp){ |
---|
1316 | for (j=0;j<i;j++){ |
---|
1317 | |
---|
1318 | |
---|
1319 | #ifndef HAVE_BOOST |
---|
1320 | c->states[i][j]=UNCALCULATED; |
---|
1321 | #endif |
---|
1322 | assume(p_LmDivisibleBy(c->S->m[i],c->S->m[j],c->r)== |
---|
1323 | p_LmShortDivisibleBy(c->S->m[i],c->short_Exps[i],c->S->m[j],~(c->short_Exps[j]),c->r)); |
---|
1324 | |
---|
1325 | |
---|
1326 | if (_p_GetComp(c->S->m[i],c->r)!=_p_GetComp(c->S->m[j],c->r)){ |
---|
1327 | //c->states[i][j]=UNCALCULATED; |
---|
1328 | //WARNUNG: be careful |
---|
1329 | continue; |
---|
1330 | } else |
---|
1331 | if ((!c->nc) && (c->lengths[i]==1) && (c->lengths[j]==1)){ |
---|
1332 | c->states[i][j]=HASTREP; |
---|
1333 | |
---|
1334 | } |
---|
1335 | else if (( (!c->nc) || (c->is_homog && rIsSCA(c->r) ) ) && (pHasNotCF(c->S->m[i],c->S->m[j]))) |
---|
1336 | // else if ((!(c->nc)) && (pHasNotCF(c->S->m[i],c->S->m[j]))) |
---|
1337 | { |
---|
1338 | c->easy_product_crit++; |
---|
1339 | c->states[i][j]=HASTREP; |
---|
1340 | continue; |
---|
1341 | } |
---|
1342 | else if(extended_product_criterion(c->S->m[i],c->gcd_of_terms[i],c->S->m[j],c->gcd_of_terms[j],c)) |
---|
1343 | { |
---|
1344 | c->states[i][j]=HASTREP; |
---|
1345 | c->extended_product_crit++; |
---|
1346 | |
---|
1347 | //PrintS("E"); |
---|
1348 | } |
---|
1349 | // if (c->states[i][j]==UNCALCULATED){ |
---|
1350 | |
---|
1351 | if ((TEST_V_FINDMONOM) &&(!c->nc)) { |
---|
1352 | //PrintS("COMMU"); |
---|
1353 | // if (c->lengths[i]==c->lengths[j]){ |
---|
1354 | // poly short_s=ksCreateShortSpoly(c->S->m[i],c->S->m[j],c->r); |
---|
1355 | // if (short_s==NULL){ |
---|
1356 | // c->states[i][j]=HASTREP; |
---|
1357 | // } else |
---|
1358 | // { |
---|
1359 | // p_Delete(&short_s, currRing); |
---|
1360 | // } |
---|
1361 | // } |
---|
1362 | if (c->lengths[i]+c->lengths[j]==3){ |
---|
1363 | |
---|
1364 | |
---|
1365 | poly short_s=ksCreateShortSpoly(c->S->m[i],c->S->m[j],c->r); |
---|
1366 | if (short_s==NULL){ |
---|
1367 | c->states[i][j]=HASTREP; |
---|
1368 | } else |
---|
1369 | { |
---|
1370 | assume(pLength(short_s)==1); |
---|
1371 | if (TEST_V_UPTORADICAL) |
---|
1372 | monomial_root(short_s,c->r); |
---|
1373 | int iS= |
---|
1374 | kFindDivisibleByInS_easy(c->strat,short_s, p_GetShortExpVector(short_s,c->r)); |
---|
1375 | if (iS<0){ |
---|
1376 | //PrintS("N"); |
---|
1377 | if (TRUE) { |
---|
1378 | c->states[i][j]=HASTREP; |
---|
1379 | add_later(short_s,"N",c); |
---|
1380 | } else p_Delete(&short_s,currRing); |
---|
1381 | } |
---|
1382 | else { |
---|
1383 | if (c->strat->lenS[iS]>1){ |
---|
1384 | //PrintS("O"); |
---|
1385 | if (TRUE) { |
---|
1386 | c->states[i][j]=HASTREP; |
---|
1387 | add_later(short_s,"O",c); |
---|
1388 | } else p_Delete(&short_s,currRing); |
---|
1389 | } |
---|
1390 | else |
---|
1391 | p_Delete(&short_s, currRing); |
---|
1392 | c->states[i][j]=HASTREP; |
---|
1393 | } |
---|
1394 | |
---|
1395 | |
---|
1396 | } |
---|
1397 | } |
---|
1398 | } |
---|
1399 | // if (short_s) |
---|
1400 | // { |
---|
1401 | assume(spc<=j); |
---|
1402 | sorted_pair_node* s=c->tmp_spn[spc];//(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
1403 | s->i=si_max(i,j); |
---|
1404 | s->j=si_min(i,j); |
---|
1405 | assume(s->j==j); |
---|
1406 | s->expected_length=pair_weighted_length(i,j,c);//c->lengths[i]+c->lengths[j]-2; |
---|
1407 | |
---|
1408 | poly lm=c->tmp_pair_lm[spc];//=pOne_Special(); |
---|
1409 | |
---|
1410 | pLcm(c->S->m[i], c->S->m[j], lm); |
---|
1411 | pSetm(lm); |
---|
1412 | s->deg=pTotaldegree(lm); |
---|
1413 | |
---|
1414 | if(c->T_deg_full)//Sugar |
---|
1415 | { |
---|
1416 | int t_i=c->T_deg_full[s->i]-c->T_deg[s->i]; |
---|
1417 | int t_j=c->T_deg_full[s->j]-c->T_deg[s->j]; |
---|
1418 | s->deg+=si_max(t_i,t_j); |
---|
1419 | //Print("\n max: %d\n",max(t_i,t_j)); |
---|
1420 | } |
---|
1421 | s->lcm_of_lm=lm; |
---|
1422 | // pDelete(&short_s); |
---|
1423 | //assume(lm!=NULL); |
---|
1424 | nodes[spc]=s; |
---|
1425 | spc++; |
---|
1426 | |
---|
1427 | // } |
---|
1428 | //else |
---|
1429 | //{ |
---|
1430 | //c->states[i][j]=HASTREP; |
---|
1431 | //} |
---|
1432 | } |
---|
1433 | }//if syz_comp end |
---|
1434 | |
---|
1435 | |
---|
1436 | |
---|
1437 | |
---|
1438 | assume(spc<=i); |
---|
1439 | //now ideal quotient crit |
---|
1440 | qsort(nodes,spc,sizeof(sorted_pair_node*),iq_crit); |
---|
1441 | |
---|
1442 | sorted_pair_node** nodes_final=(sorted_pair_node**) omalloc(sizeof(sorted_pair_node*)*i); |
---|
1443 | int spc_final=0; |
---|
1444 | j=0; |
---|
1445 | while(j<spc) |
---|
1446 | { |
---|
1447 | int lower=j; |
---|
1448 | int upper; |
---|
1449 | BOOLEAN has=FALSE; |
---|
1450 | for(upper=lower+1;upper<spc;upper++) |
---|
1451 | { |
---|
1452 | |
---|
1453 | if(!pLmEqual(nodes[lower]->lcm_of_lm,nodes[upper]->lcm_of_lm)) |
---|
1454 | { |
---|
1455 | break; |
---|
1456 | } |
---|
1457 | if (has_t_rep(nodes[upper]->i,nodes[upper]->j,c)) |
---|
1458 | has=TRUE; |
---|
1459 | |
---|
1460 | } |
---|
1461 | upper=upper-1; |
---|
1462 | int z; |
---|
1463 | assume(spc_final<=j); |
---|
1464 | for(z=0;z<spc_final;z++) |
---|
1465 | { |
---|
1466 | if(p_LmDivisibleBy(nodes_final[z]->lcm_of_lm,nodes[lower]->lcm_of_lm,c->r)) |
---|
1467 | { |
---|
1468 | has=TRUE; |
---|
1469 | break; |
---|
1470 | } |
---|
1471 | } |
---|
1472 | |
---|
1473 | if(has) |
---|
1474 | { |
---|
1475 | for(;lower<=upper;lower++) |
---|
1476 | { |
---|
1477 | //free_sorted_pair_node(nodes[lower],c->r); |
---|
1478 | //omfree(nodes[lower]); |
---|
1479 | nodes[lower]=NULL; |
---|
1480 | } |
---|
1481 | j=upper+1; |
---|
1482 | continue; |
---|
1483 | } |
---|
1484 | else |
---|
1485 | { |
---|
1486 | nodes[lower]->lcm_of_lm=pCopy(nodes[lower]->lcm_of_lm); |
---|
1487 | assume(_p_GetComp(c->S->m[nodes[lower]->i],c->r)==_p_GetComp(c->S->m[nodes[lower]->j],c->r)); |
---|
1488 | nodes_final[spc_final]=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
1489 | |
---|
1490 | *(nodes_final[spc_final++])=*(nodes[lower]); |
---|
1491 | //c->tmp_spn[nodes[lower]->j]=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
1492 | nodes[lower]=NULL; |
---|
1493 | for(lower=lower+1;lower<=upper;lower++) |
---|
1494 | { |
---|
1495 | // free_sorted_pair_node(nodes[lower],c->r); |
---|
1496 | //omfree(nodes[lower]); |
---|
1497 | nodes[lower]=NULL; |
---|
1498 | } |
---|
1499 | j=upper+1; |
---|
1500 | continue; |
---|
1501 | } |
---|
1502 | } |
---|
1503 | |
---|
1504 | // Print("i:%d,spc_final:%d",i,spc_final); |
---|
1505 | |
---|
1506 | |
---|
1507 | |
---|
1508 | |
---|
1509 | assume(spc_final<=spc); |
---|
1510 | omfree(nodes); |
---|
1511 | nodes=NULL; |
---|
1512 | |
---|
1513 | add_to_reductors(c, h, c->lengths[c->n-1], ecart,TRUE); |
---|
1514 | //i=posInS(c->strat,c->strat->sl,h,0 ecart); |
---|
1515 | if (!(c->nc)){ |
---|
1516 | if (c->lengths[c->n-1]==1) |
---|
1517 | shorten_tails(c,c->S->m[c->n-1]); |
---|
1518 | } |
---|
1519 | //you should really update c->lengths, c->strat->lenS, and the oder of polys in strat if you sort after lengths |
---|
1520 | |
---|
1521 | //for(i=c->strat->sl; i>0;i--) |
---|
1522 | // if(c->strat->lenS[i]<c->strat->lenS[i-1]) printf("fehler bei %d\n",i); |
---|
1523 | if (c->Rcounter>50) { |
---|
1524 | c->Rcounter=0; |
---|
1525 | cleanS(c->strat,c); |
---|
1526 | } |
---|
1527 | |
---|
1528 | // for SCA: |
---|
1529 | // here write at the end of nodes_final[spc_final,...,spc_final+lmdeg-1] |
---|
1530 | if(rIsSCA(c->r)) |
---|
1531 | { |
---|
1532 | const poly pNext = pNext(h); |
---|
1533 | |
---|
1534 | if(pNext != NULL) |
---|
1535 | { |
---|
1536 | // for additional polynomials |
---|
1537 | const unsigned int m_iFirstAltVar = scaFirstAltVar(c->r); |
---|
1538 | const unsigned int m_iLastAltVar = scaLastAltVar(c->r); |
---|
1539 | |
---|
1540 | int N = // c->r->N; |
---|
1541 | m_iLastAltVar - m_iFirstAltVar + 1; // should be enough |
---|
1542 | // TODO: but we may also use got = gcd({m}_{m\in f}))! |
---|
1543 | |
---|
1544 | poly* array_arg=(poly*)omalloc(N*sizeof(poly)); // ! |
---|
1545 | int j = 0; |
---|
1546 | |
---|
1547 | |
---|
1548 | for( unsigned short v = m_iFirstAltVar; v <= m_iLastAltVar; v++ ) |
---|
1549 | // for all x_v | Ann(lm(h)) |
---|
1550 | if( p_GetExp(h, v, c->r) ) // TODO: use 'got' here! |
---|
1551 | { |
---|
1552 | assume(p_GetExp(h, v, c->r)==1); |
---|
1553 | |
---|
1554 | poly p = sca_pp_Mult_xi_pp(v, pNext, c->r); // x_v * h; |
---|
1555 | |
---|
1556 | if(p != NULL) // if (x_v * h != 0) |
---|
1557 | array_arg[j++] = p; |
---|
1558 | } // for all x_v | Ann(lm(h)) |
---|
1559 | |
---|
1560 | c->introduceDelayedPairs(array_arg, j); |
---|
1561 | |
---|
1562 | omfree(array_arg); // !!! |
---|
1563 | } |
---|
1564 | // Print("Saturation - done!!!\n"); |
---|
1565 | } // if SCAlgebra |
---|
1566 | |
---|
1567 | |
---|
1568 | if(!ip){ |
---|
1569 | qsort(nodes_final,spc_final,sizeof(sorted_pair_node*),tgb_pair_better_gen2); |
---|
1570 | |
---|
1571 | |
---|
1572 | c->apairs=spn_merge(c->apairs,c->pair_top+1,nodes_final,spc_final,c); |
---|
1573 | c->pair_top+=spc_final; |
---|
1574 | clean_top_of_pair_list(c); |
---|
1575 | omfree(nodes_final); |
---|
1576 | return NULL; |
---|
1577 | } |
---|
1578 | { |
---|
1579 | *ip=spc_final; |
---|
1580 | return nodes_final; |
---|
1581 | } |
---|
1582 | |
---|
1583 | |
---|
1584 | |
---|
1585 | } |
---|
1586 | |
---|
1587 | |
---|
1588 | static poly redNF2 (poly h,slimgb_alg* c , int &len, number& m,int n) |
---|
1589 | { |
---|
1590 | m=nInit(1); |
---|
1591 | if (h==NULL) return NULL; |
---|
1592 | |
---|
1593 | assume(len==pLength(h)); |
---|
1594 | kStrategy strat=c->strat; |
---|
1595 | if (0 > strat->sl) |
---|
1596 | { |
---|
1597 | return h; |
---|
1598 | } |
---|
1599 | int j; |
---|
1600 | |
---|
1601 | LObject P(h); |
---|
1602 | P.SetShortExpVector(); |
---|
1603 | P.bucket = kBucketCreate(currRing); |
---|
1604 | // BOOLEAN corr=lenS_correct(strat); |
---|
1605 | kBucketInit(P.bucket,P.p,len /*pLength(P.p)*/); |
---|
1606 | //wlen_set lenSw=(wlen_set) c->strat->lenS; |
---|
1607 | //FIXME: plainly wrong |
---|
1608 | //strat->lenS; |
---|
1609 | //if (strat->lenSw!=NULL) |
---|
1610 | // lenSw=strat->lenSw; |
---|
1611 | //int max_pos=simple_posInS(strat,P.p); |
---|
1612 | loop |
---|
1613 | { |
---|
1614 | int dummy=strat->sl; |
---|
1615 | j=kFindDivisibleByInS_easy(strat,P.p,P.sev); |
---|
1616 | //j=kFindDivisibleByInS(strat,&dummy,&P); |
---|
1617 | if ((j>=0) && ((!n)|| |
---|
1618 | ((strat->lenS[j]<=n) && |
---|
1619 | ((strat->lenSw==NULL)|| |
---|
1620 | (strat->lenSw[j]<=n))))) |
---|
1621 | { |
---|
1622 | nNormalize(pGetCoeff(P.p)); |
---|
1623 | #ifdef KDEBUG |
---|
1624 | if (TEST_OPT_DEBUG) |
---|
1625 | { |
---|
1626 | PrintS("red:"); |
---|
1627 | wrp(h); |
---|
1628 | PrintS(" with "); |
---|
1629 | wrp(strat->S[j]); |
---|
1630 | } |
---|
1631 | #endif |
---|
1632 | |
---|
1633 | number coef=kBucketPolyRed(P.bucket,strat->S[j], |
---|
1634 | strat->lenS[j]/*pLength(strat->S[j])*/, |
---|
1635 | strat->kNoether); |
---|
1636 | number m2=nMult(m,coef); |
---|
1637 | nDelete(&m); |
---|
1638 | m=m2; |
---|
1639 | nDelete(&coef); |
---|
1640 | h = kBucketGetLm(P.bucket); |
---|
1641 | |
---|
1642 | if (h==NULL) { |
---|
1643 | len=0; |
---|
1644 | kBucketDestroy(&P.bucket); |
---|
1645 | return |
---|
1646 | NULL;} |
---|
1647 | P.p=h; |
---|
1648 | P.t_p=NULL; |
---|
1649 | P.SetShortExpVector(); |
---|
1650 | #ifdef KDEBUG |
---|
1651 | if (TEST_OPT_DEBUG) |
---|
1652 | { |
---|
1653 | PrintS("\nto:"); |
---|
1654 | wrp(h); |
---|
1655 | PrintLn(); |
---|
1656 | } |
---|
1657 | #endif |
---|
1658 | } |
---|
1659 | else |
---|
1660 | { |
---|
1661 | kBucketClear(P.bucket,&(P.p),&len); |
---|
1662 | kBucketDestroy(&P.bucket); |
---|
1663 | pNormalize(P.p); |
---|
1664 | assume(len==(pLength(P.p))); |
---|
1665 | return P.p; |
---|
1666 | } |
---|
1667 | } |
---|
1668 | } |
---|
1669 | |
---|
1670 | |
---|
1671 | |
---|
1672 | static poly redTailShort(poly h, kStrategy strat){ |
---|
1673 | if (h==NULL) return NULL;//n_Init(1,currRing); |
---|
1674 | if (TEST_V_MODPSOLVSB){ |
---|
1675 | bit_reduce(pNext(h), strat->tailRing); |
---|
1676 | } |
---|
1677 | int sl=strat->sl; |
---|
1678 | int i; |
---|
1679 | int len=pLength(h); |
---|
1680 | for(i=0;i<=strat->sl;i++){ |
---|
1681 | if((strat->lenS[i]>2) || ((strat->lenSw!=NULL) && (strat->lenSw[i]>2))) |
---|
1682 | break; |
---|
1683 | } |
---|
1684 | return(redNFTail(h,i-1,strat, len)); |
---|
1685 | } |
---|
1686 | |
---|
1687 | static void line_of_extended_prod(int fixpos,slimgb_alg* c){ |
---|
1688 | if (c->gcd_of_terms[fixpos]==NULL) |
---|
1689 | { |
---|
1690 | c->gcd_of_terms[fixpos]=gcd_of_terms(c->S->m[fixpos],c->r); |
---|
1691 | if (c->gcd_of_terms[fixpos]) |
---|
1692 | { |
---|
1693 | int i; |
---|
1694 | for(i=0;i<fixpos;i++) |
---|
1695 | if((c->states[fixpos][i]!=HASTREP)&& (extended_product_criterion(c->S->m[fixpos],c->gcd_of_terms[fixpos], c->S->m[i],c->gcd_of_terms[i],c))) |
---|
1696 | { |
---|
1697 | c->states[fixpos][i]=HASTREP; |
---|
1698 | c->extended_product_crit++; |
---|
1699 | } |
---|
1700 | for(i=fixpos+1;i<c->n;i++) |
---|
1701 | if((c->states[i][fixpos]!=HASTREP)&& (extended_product_criterion(c->S->m[fixpos],c->gcd_of_terms[fixpos], c->S->m[i],c->gcd_of_terms[i],c))) |
---|
1702 | { c->states[i][fixpos]=HASTREP; |
---|
1703 | c->extended_product_crit++; |
---|
1704 | } |
---|
1705 | } |
---|
1706 | } |
---|
1707 | } |
---|
1708 | static void c_S_element_changed_hook(int pos, slimgb_alg* c){ |
---|
1709 | length_one_crit(c,pos, c->lengths[pos]); |
---|
1710 | if (!c->nc) |
---|
1711 | line_of_extended_prod(pos,c); |
---|
1712 | } |
---|
1713 | class poly_tree_node { |
---|
1714 | public: |
---|
1715 | poly p; |
---|
1716 | poly_tree_node* l; |
---|
1717 | poly_tree_node* r; |
---|
1718 | int n; |
---|
1719 | poly_tree_node(int sn):l(NULL),r(NULL),n(sn){} |
---|
1720 | }; |
---|
1721 | class exp_number_builder{ |
---|
1722 | public: |
---|
1723 | poly_tree_node* top_level; |
---|
1724 | int n; |
---|
1725 | int get_n(poly p); |
---|
1726 | exp_number_builder():top_level(0),n(0){} |
---|
1727 | }; |
---|
1728 | int exp_number_builder::get_n(poly p){ |
---|
1729 | poly_tree_node** node=&top_level; |
---|
1730 | while(*node!=NULL){ |
---|
1731 | int c=pLmCmp(p,(*node)->p); |
---|
1732 | if (c==0) return (*node)->n; |
---|
1733 | if (c==-1) node=&((*node)->r); |
---|
1734 | else |
---|
1735 | node=&((*node)->l); |
---|
1736 | } |
---|
1737 | (*node)= new poly_tree_node(n); |
---|
1738 | n++; |
---|
1739 | (*node)->p=pLmInit(p); |
---|
1740 | return (*node)->n; |
---|
1741 | } |
---|
1742 | |
---|
1743 | //mac_polys exp are smaller iff they are greater by monomial ordering |
---|
1744 | //corresponding to solving linear equations notation |
---|
1745 | |
---|
1746 | //! obsolete |
---|
1747 | struct int_poly_pair{ |
---|
1748 | poly p; |
---|
1749 | int n; |
---|
1750 | }; |
---|
1751 | |
---|
1752 | |
---|
1753 | //! obsolete |
---|
1754 | void t2ippa_rec(poly* ip,int* ia, poly_tree_node* k, int &offset){ |
---|
1755 | if(!k) return; |
---|
1756 | t2ippa_rec(ip,ia,k->l,offset); |
---|
1757 | ip[offset]=k->p; |
---|
1758 | ia[k->n]=offset; |
---|
1759 | ++offset; |
---|
1760 | |
---|
1761 | t2ippa_rec(ip,ia,k->r,offset); |
---|
1762 | delete k; |
---|
1763 | } |
---|
1764 | |
---|
1765 | //! obsolete |
---|
1766 | void t2ippa(poly* ip,int* ia,exp_number_builder & e){ |
---|
1767 | |
---|
1768 | int o=0; |
---|
1769 | t2ippa_rec(ip,ia,e.top_level,o); |
---|
1770 | } |
---|
1771 | int anti_poly_order(const void* a, const void* b){ |
---|
1772 | return -pLmCmp(((int_poly_pair*) a)->p,((int_poly_pair*) b)->p ); |
---|
1773 | } |
---|
1774 | |
---|
1775 | BOOLEAN is_valid_ro(red_object & ro){ |
---|
1776 | red_object r2=ro; |
---|
1777 | ro.validate(); |
---|
1778 | if ((r2.p!=ro.p)||(r2.sev!=ro.sev)) return FALSE; |
---|
1779 | return TRUE; |
---|
1780 | } |
---|
1781 | |
---|
1782 | |
---|
1783 | |
---|
1784 | static void go_on (slimgb_alg* c){ |
---|
1785 | //set limit of 1000 for multireductions, at the moment for |
---|
1786 | //programming reasons |
---|
1787 | int i=0; |
---|
1788 | c->average_length=0; |
---|
1789 | for(i=0;i<c->n;i++){ |
---|
1790 | c->average_length+=c->lengths[i]; |
---|
1791 | } |
---|
1792 | c->average_length=c->average_length/c->n; |
---|
1793 | i=0; |
---|
1794 | poly* p=(poly*) omalloc((PAR_N+1)*sizeof(poly));//nullterminated |
---|
1795 | |
---|
1796 | int curr_deg=-1; |
---|
1797 | while(i<PAR_N){ |
---|
1798 | sorted_pair_node* s=top_pair(c);//here is actually chain criterium done |
---|
1799 | |
---|
1800 | |
---|
1801 | if (!s) break; |
---|
1802 | |
---|
1803 | if(curr_deg>=0){ |
---|
1804 | if (s->deg >curr_deg) break; |
---|
1805 | } |
---|
1806 | |
---|
1807 | else curr_deg=s->deg; |
---|
1808 | quick_pop_pair(c); |
---|
1809 | if(s->i>=0){ |
---|
1810 | //be careful replace_pair use createShortSpoly which is not noncommutative |
---|
1811 | now_t_rep(s->i,s->j,c); |
---|
1812 | replace_pair(s->i,s->j,c); |
---|
1813 | |
---|
1814 | if(s->i==s->j) { |
---|
1815 | free_sorted_pair_node(s,c->r); |
---|
1816 | continue; |
---|
1817 | } |
---|
1818 | now_t_rep(s->i,s->j,c); |
---|
1819 | } |
---|
1820 | poly h; |
---|
1821 | if(s->i>=0){ |
---|
1822 | if (!c->nc) |
---|
1823 | h=ksOldCreateSpoly(c->S->m[s->i], c->S->m[s->j], NULL, c->r); |
---|
1824 | else |
---|
1825 | h= nc_SPoly(c->S->m[s->i], c->S->m[s->j]/*, NULL*/, c->r); |
---|
1826 | } |
---|
1827 | else |
---|
1828 | h=s->lcm_of_lm; |
---|
1829 | // if(s->i>=0) |
---|
1830 | // now_t_rep(s->j,s->i,c); |
---|
1831 | number coef; |
---|
1832 | int mlen=pLength(h); |
---|
1833 | if (!c->nc){ |
---|
1834 | h=redNF2(h,c,mlen,coef,2); |
---|
1835 | redTailShort(h,c->strat); |
---|
1836 | nDelete(&coef); |
---|
1837 | } |
---|
1838 | free_sorted_pair_node(s,c->r); |
---|
1839 | if(!h) continue; |
---|
1840 | int len=pLength(h); |
---|
1841 | p[i]=h; |
---|
1842 | |
---|
1843 | i++; |
---|
1844 | } |
---|
1845 | p[i]=NULL; |
---|
1846 | // pre_comp(p,i,c); |
---|
1847 | if(i==0){ |
---|
1848 | omfree(p); |
---|
1849 | return; |
---|
1850 | } |
---|
1851 | #ifdef TGB_RESORT_PAIRS |
---|
1852 | c->replaced=new bool[c->n]; |
---|
1853 | c->used_b=FALSE; |
---|
1854 | #endif |
---|
1855 | red_object* buf=(red_object*) omalloc(i*sizeof(red_object)); |
---|
1856 | c->normal_forms+=i; |
---|
1857 | int j; |
---|
1858 | for(j=0;j<i;j++){ |
---|
1859 | buf[j].p=p[j]; |
---|
1860 | buf[j].sev=pGetShortExpVector(p[j]); |
---|
1861 | buf[j].bucket = kBucketCreate(currRing); |
---|
1862 | if (c->eliminationProblem){ |
---|
1863 | buf[j].sugar=pTotaldegree_full(p[j]); |
---|
1864 | } |
---|
1865 | int len=pLength(p[j]); |
---|
1866 | kBucketInit(buf[j].bucket,buf[j].p,len); |
---|
1867 | buf[j].initial_quality=buf[j].guess_quality(c); |
---|
1868 | assume(buf[j].initial_quality>=0); |
---|
1869 | } |
---|
1870 | omfree(p); |
---|
1871 | qsort(buf,i,sizeof(red_object),red_object_better_gen); |
---|
1872 | // Print("\ncurr_deg:%i\n",curr_deg); |
---|
1873 | if (TEST_OPT_PROT) |
---|
1874 | { |
---|
1875 | Print("%dM[%d,",curr_deg,i); |
---|
1876 | } |
---|
1877 | #ifdef FIND_DETERMINISTIC |
---|
1878 | c->modifiedS=(BOOLEAN*) omalloc((c->strat->sl+1)*sizeof(BOOLEAN)); |
---|
1879 | c->expandS=(poly*) omalloc((1)*sizeof(poly)); |
---|
1880 | c->expandS[0]=NULL; |
---|
1881 | int z2; |
---|
1882 | for(z2=0;z2<=c->strat->sl;z2++) |
---|
1883 | c->modifiedS[z2]=FALSE; |
---|
1884 | #endif |
---|
1885 | multi_reduction(buf, i, c); |
---|
1886 | #ifdef TGB_RESORT_PAIRS |
---|
1887 | if (c->used_b) { |
---|
1888 | if (TEST_OPT_PROT) |
---|
1889 | PrintS("B"); |
---|
1890 | int e; |
---|
1891 | for(e=0;e<=c->pair_top;e++){ |
---|
1892 | if(c->apairs[e]->i<0) continue; |
---|
1893 | assume(c->apairs[e]->j>=0); |
---|
1894 | if ((c->replaced[c->apairs[e]->i])||(c->replaced[c->apairs[e]->j])) { |
---|
1895 | sorted_pair_node* s=c->apairs[e]; |
---|
1896 | s->expected_length=pair_weighted_length(s->i,s->j,c); |
---|
1897 | } |
---|
1898 | } |
---|
1899 | qsort(c->apairs,c->pair_top+1,sizeof(sorted_pair_node*),tgb_pair_better_gen2); |
---|
1900 | } |
---|
1901 | #endif |
---|
1902 | #ifdef TGB_DEBUG |
---|
1903 | { |
---|
1904 | int k; |
---|
1905 | for(k=0;k<i;k++) |
---|
1906 | { |
---|
1907 | assume(kFindDivisibleByInS_easy(c->strat,buf[k])<0); |
---|
1908 | int k2; |
---|
1909 | for(k2=0;k2<i;k2++) |
---|
1910 | { |
---|
1911 | if(k==k2) continue; |
---|
1912 | assume((!(p_LmDivisibleBy(buf[k].p,buf[k2].p,c->r)))||(wrp(buf[k].p),Print(" k %d k2 %d ",k,k2),wrp(buf[k2].p),FALSE)); |
---|
1913 | } |
---|
1914 | } |
---|
1915 | } |
---|
1916 | #endif |
---|
1917 | //resort S |
---|
1918 | #ifdef FIND_DETERMINISTIC |
---|
1919 | for(z2=0;z2<=c->strat->sl;z2++) |
---|
1920 | { |
---|
1921 | if (c->modifiedS[z2]) |
---|
1922 | { |
---|
1923 | wlen_type qual; |
---|
1924 | int new_pos; |
---|
1925 | if (c->strat->lenSw!=NULL) |
---|
1926 | new_pos=simple_posInS(c->strat,c->strat->S[z2],strat->lenS[z2],strat->Sw[z2]); |
---|
1927 | else |
---|
1928 | new_pos=simple_posInS(c->strat,c->strat->S[z2],strat->lenS[z2],lenS[z2]); |
---|
1929 | |
---|
1930 | if (new_pos<z2) |
---|
1931 | { |
---|
1932 | move_forward_in_S(z2,new_pos,c->strat); |
---|
1933 | } |
---|
1934 | |
---|
1935 | assume(new_pos<=z2); |
---|
1936 | } |
---|
1937 | } |
---|
1938 | for(z2=0;c->expandS[z2]!=NULL;z2++) |
---|
1939 | { |
---|
1940 | add_to_reductors(c,c->expandS[z2],pLength(c->expandS[z2])); |
---|
1941 | // PrintS("E"); |
---|
1942 | } |
---|
1943 | omfree(c->modifiedS); |
---|
1944 | c->modifiedS=NULL; |
---|
1945 | omfree(c->expandS); |
---|
1946 | c->expandS=NULL; |
---|
1947 | #endif |
---|
1948 | if (TEST_OPT_PROT) |
---|
1949 | Print("%i]",i); |
---|
1950 | |
---|
1951 | int* ibuf=(int*) omalloc(i*sizeof(int)); |
---|
1952 | sorted_pair_node*** sbuf=(sorted_pair_node***) omalloc(i*sizeof(sorted_pair_node**)); |
---|
1953 | for(j=0;j<i;j++) |
---|
1954 | { |
---|
1955 | int len; |
---|
1956 | poly p; |
---|
1957 | buf[j].flatten(); |
---|
1958 | kBucketClear(buf[j].bucket,&p, &len); |
---|
1959 | kBucketDestroy(&buf[j].bucket); |
---|
1960 | |
---|
1961 | if (!c->nc) { |
---|
1962 | if ((TEST_OPT_REDTAIL)&&(c->S->rank<=1)){ |
---|
1963 | p=redNFTail(p,c->strat->sl,c->strat, 0); |
---|
1964 | } else { |
---|
1965 | p=redTailShort(p, c->strat); |
---|
1966 | } |
---|
1967 | } |
---|
1968 | sbuf[j]=add_to_basis_ideal_quotient(p,c,ibuf+j); |
---|
1969 | //sbuf[j]=add_to_basis(p,-1,-1,c,ibuf+j); |
---|
1970 | } |
---|
1971 | int sum=0; |
---|
1972 | for(j=0;j<i;j++){ |
---|
1973 | sum+=ibuf[j]; |
---|
1974 | } |
---|
1975 | sorted_pair_node** big_sbuf=(sorted_pair_node**) omalloc(sum*sizeof(sorted_pair_node*)); |
---|
1976 | int partsum=0; |
---|
1977 | for(j=0;j<i;j++) |
---|
1978 | { |
---|
1979 | memmove(big_sbuf+partsum, sbuf[j],ibuf[j]*sizeof(sorted_pair_node*)); |
---|
1980 | omfree(sbuf[j]); |
---|
1981 | partsum+=ibuf[j]; |
---|
1982 | } |
---|
1983 | |
---|
1984 | qsort(big_sbuf,sum,sizeof(sorted_pair_node*),tgb_pair_better_gen2); |
---|
1985 | c->apairs=spn_merge(c->apairs,c->pair_top+1,big_sbuf,sum,c); |
---|
1986 | c->pair_top+=sum; |
---|
1987 | clean_top_of_pair_list(c); |
---|
1988 | omfree(big_sbuf); |
---|
1989 | omfree(sbuf); |
---|
1990 | omfree(ibuf); |
---|
1991 | omfree(buf); |
---|
1992 | #ifdef TGB_DEBUG |
---|
1993 | int z; |
---|
1994 | for(z=1;z<=c->pair_top;z++) |
---|
1995 | { |
---|
1996 | assume(pair_better(c->apairs[z],c->apairs[z-1],c)); |
---|
1997 | } |
---|
1998 | #endif |
---|
1999 | if (TEST_OPT_PROT) |
---|
2000 | Print("(%d)",c->pair_top+1); |
---|
2001 | while(!(idIs0(c->add_later))){ |
---|
2002 | ideal add=c->add_later; |
---|
2003 | idSkipZeroes(add); |
---|
2004 | for(j=0;j<add->idelems();j++){ |
---|
2005 | assume(pLength(add->m[j])==1); |
---|
2006 | p_SetCoeff(add->m[j],n_Init(1,currRing),currRing); |
---|
2007 | |
---|
2008 | } |
---|
2009 | ideal add2=kInterRed(add,NULL); |
---|
2010 | id_Delete(&add,currRing); |
---|
2011 | idSkipZeroes(add2); |
---|
2012 | c->add_later=idInit(ADD_LATER_SIZE,c->S->rank); |
---|
2013 | memset(c->add_later->m,0,ADD_LATER_SIZE*sizeof(poly)); |
---|
2014 | // for(i=0;i<add2->idelems();i++){ |
---|
2015 | // if (add2->m[i]!=NULL) |
---|
2016 | // add_to_basis_ideal_quotient(add2->m[i],-1,-1,c,NULL); |
---|
2017 | // add2->m[i]=NULL; |
---|
2018 | // } |
---|
2019 | int i=add2->idelems(); |
---|
2020 | int* ibuf=(int*) omalloc(i*sizeof(int)); |
---|
2021 | sorted_pair_node*** sbuf=(sorted_pair_node***) omalloc(i*sizeof(sorted_pair_node**)); |
---|
2022 | |
---|
2023 | for(j=0;j<i;j++) |
---|
2024 | { |
---|
2025 | int len; |
---|
2026 | poly p; |
---|
2027 | //buf[j].flatten(); |
---|
2028 | //kBucketClear(buf[j].bucket,&p, &len); |
---|
2029 | //kBucketDestroy(&buf[j].bucket); |
---|
2030 | p=add2->m[j]; |
---|
2031 | add2->m[j]=NULL; |
---|
2032 | |
---|
2033 | sbuf[j]=add_to_basis_ideal_quotient(p,c,ibuf+j); |
---|
2034 | //sbuf[j]=add_to_basis(p,-1,-1,c,ibuf+j); |
---|
2035 | } |
---|
2036 | int sum=0; |
---|
2037 | for(j=0;j<i;j++){ |
---|
2038 | sum+=ibuf[j]; |
---|
2039 | } |
---|
2040 | sorted_pair_node** big_sbuf=(sorted_pair_node**) omalloc(sum*sizeof(sorted_pair_node*)); |
---|
2041 | int partsum=0; |
---|
2042 | for(j=0;j<i;j++) |
---|
2043 | { |
---|
2044 | memmove(big_sbuf+partsum, sbuf[j],ibuf[j]*sizeof(sorted_pair_node*)); |
---|
2045 | omfree(sbuf[j]); |
---|
2046 | partsum+=ibuf[j]; |
---|
2047 | } |
---|
2048 | |
---|
2049 | qsort(big_sbuf,sum,sizeof(sorted_pair_node*),tgb_pair_better_gen2); |
---|
2050 | c->apairs=spn_merge(c->apairs,c->pair_top+1,big_sbuf,sum,c); |
---|
2051 | c->pair_top+=sum; |
---|
2052 | clean_top_of_pair_list(c); |
---|
2053 | omfree(big_sbuf); |
---|
2054 | omfree(sbuf); |
---|
2055 | omfree(ibuf); |
---|
2056 | //omfree(buf); |
---|
2057 | id_Delete(&add2, c->r); |
---|
2058 | } |
---|
2059 | #ifdef TGB_RESORT_PAIRS |
---|
2060 | delete c->replaced; |
---|
2061 | c->replaced=NULL; |
---|
2062 | c->used_b=FALSE; |
---|
2063 | #endif |
---|
2064 | return; |
---|
2065 | } |
---|
2066 | |
---|
2067 | |
---|
2068 | |
---|
2069 | #ifdef REDTAIL_S |
---|
2070 | |
---|
2071 | static poly redNFTail (poly h,const int sl,kStrategy strat, int len) |
---|
2072 | { |
---|
2073 | if (h==NULL) return NULL; |
---|
2074 | pTest(h); |
---|
2075 | if (0 > sl) |
---|
2076 | return h; |
---|
2077 | if (pNext(h)==NULL) return h; |
---|
2078 | |
---|
2079 | int j; |
---|
2080 | poly res=h; |
---|
2081 | poly act=res; |
---|
2082 | LObject P(pNext(h)); |
---|
2083 | pNext(res)=NULL; |
---|
2084 | P.bucket = kBucketCreate(currRing); |
---|
2085 | len--; |
---|
2086 | h=P.p; |
---|
2087 | if (len <=0) len=pLength(h); |
---|
2088 | kBucketInit(P.bucket,h /*P.p*/,len /*pLength(P.p)*/); |
---|
2089 | pTest(h); |
---|
2090 | loop |
---|
2091 | { |
---|
2092 | P.p=h; |
---|
2093 | P.t_p=NULL; |
---|
2094 | P.SetShortExpVector(); |
---|
2095 | loop |
---|
2096 | { |
---|
2097 | int dummy=strat->sl; |
---|
2098 | j=kFindDivisibleByInS_easy(strat,P.p,P.sev);//kFindDivisibleByInS(strat,&dummy,&P); |
---|
2099 | if (j>=0) |
---|
2100 | { |
---|
2101 | #ifdef REDTAIL_PROT |
---|
2102 | PrintS("r"); |
---|
2103 | #endif |
---|
2104 | nNormalize(pGetCoeff(P.p)); |
---|
2105 | #ifdef KDEBUG |
---|
2106 | if (TEST_OPT_DEBUG) |
---|
2107 | { |
---|
2108 | PrintS("red tail:"); |
---|
2109 | wrp(h); |
---|
2110 | PrintS(" with "); |
---|
2111 | wrp(strat->S[j]); |
---|
2112 | } |
---|
2113 | #endif |
---|
2114 | number coef; |
---|
2115 | pTest(strat->S[j]); |
---|
2116 | coef=kBucketPolyRed(P.bucket,strat->S[j], |
---|
2117 | strat->lenS[j]/*pLength(strat->S[j])*/,strat->kNoether); |
---|
2118 | pMult_nn(res,coef); |
---|
2119 | nDelete(&coef); |
---|
2120 | h = kBucketGetLm(P.bucket); |
---|
2121 | pTest(h); |
---|
2122 | if (h==NULL) |
---|
2123 | { |
---|
2124 | #ifdef REDTAIL_PROT |
---|
2125 | PrintS(" "); |
---|
2126 | #endif |
---|
2127 | kBucketDestroy(&P.bucket); |
---|
2128 | return res; |
---|
2129 | } |
---|
2130 | pTest(h); |
---|
2131 | P.p=h; |
---|
2132 | P.t_p=NULL; |
---|
2133 | P.SetShortExpVector(); |
---|
2134 | #ifdef KDEBUG |
---|
2135 | if (TEST_OPT_DEBUG) |
---|
2136 | { |
---|
2137 | PrintS("\nto tail:"); |
---|
2138 | wrp(h); |
---|
2139 | PrintLn(); |
---|
2140 | } |
---|
2141 | #endif |
---|
2142 | } |
---|
2143 | else |
---|
2144 | { |
---|
2145 | #ifdef REDTAIL_PROT |
---|
2146 | PrintS("n"); |
---|
2147 | #endif |
---|
2148 | break; |
---|
2149 | } |
---|
2150 | } /* end loop current mon */ |
---|
2151 | // poly tmp=pHead(h /*kBucketGetLm(P.bucket)*/); |
---|
2152 | //act->next=tmp;pIter(act); |
---|
2153 | act->next=kBucketExtractLm(P.bucket);pIter(act); |
---|
2154 | h = kBucketGetLm(P.bucket); |
---|
2155 | if (h==NULL) |
---|
2156 | { |
---|
2157 | #ifdef REDTAIL_PROT |
---|
2158 | PrintS(" "); |
---|
2159 | #endif |
---|
2160 | kBucketDestroy(&P.bucket); |
---|
2161 | return res; |
---|
2162 | } |
---|
2163 | pTest(h); |
---|
2164 | } |
---|
2165 | } |
---|
2166 | #endif |
---|
2167 | |
---|
2168 | |
---|
2169 | //try to fill, return FALSE iff queue is empty |
---|
2170 | |
---|
2171 | //transfers ownership of m to mat |
---|
2172 | void init_with_mac_poly(tgb_sparse_matrix* mat, int row, mac_poly m){ |
---|
2173 | assume(mat->mp[row]==NULL); |
---|
2174 | mat->mp[row]=m; |
---|
2175 | #ifdef TGB_DEBUG |
---|
2176 | mac_poly r=m; |
---|
2177 | while(r){ |
---|
2178 | assume(r->exp<mat->columns); |
---|
2179 | r=r->next; |
---|
2180 | } |
---|
2181 | #endif |
---|
2182 | } |
---|
2183 | poly free_row_to_poly(tgb_sparse_matrix* mat, int row, poly* monoms, int monom_index){ |
---|
2184 | poly p=NULL; |
---|
2185 | poly* set_this=&p; |
---|
2186 | mac_poly r=mat->mp[row]; |
---|
2187 | mat->mp[row]=NULL; |
---|
2188 | while(r) |
---|
2189 | { |
---|
2190 | (*set_this)=pLmInit(monoms[monom_index-1-r->exp]); |
---|
2191 | pSetCoeff((*set_this),r->coef); |
---|
2192 | set_this=&((*set_this)->next); |
---|
2193 | mac_poly old=r; |
---|
2194 | r=r->next; |
---|
2195 | delete old; |
---|
2196 | |
---|
2197 | } |
---|
2198 | return p; |
---|
2199 | |
---|
2200 | } |
---|
2201 | |
---|
2202 | |
---|
2203 | |
---|
2204 | |
---|
2205 | |
---|
2206 | |
---|
2207 | |
---|
2208 | |
---|
2209 | |
---|
2210 | |
---|
2211 | |
---|
2212 | static int poly_crit(const void* ap1, const void* ap2){ |
---|
2213 | poly p1,p2; |
---|
2214 | p1=*((poly*) ap1); |
---|
2215 | p2=*((poly*)ap2); |
---|
2216 | |
---|
2217 | int c=pLmCmp(p1,p2); |
---|
2218 | if (c !=0) return c; |
---|
2219 | int l1=pLength(p1); |
---|
2220 | int l2=pLength(p2); |
---|
2221 | if (l1<l2) return -1; |
---|
2222 | if (l1>l2) return 1; |
---|
2223 | return 0; |
---|
2224 | } |
---|
2225 | void slimgb_alg::introduceDelayedPairs(poly* pa,int s){ |
---|
2226 | if (s==0) return; |
---|
2227 | sorted_pair_node** si_array=(sorted_pair_node**) omalloc(s* sizeof(sorted_pair_node*)); |
---|
2228 | |
---|
2229 | for( unsigned int i = 0; i < s; i++ ) |
---|
2230 | { |
---|
2231 | sorted_pair_node* si=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
2232 | si->i=-1; |
---|
2233 | si->j=-2; |
---|
2234 | poly p=pa[i]; |
---|
2235 | simplify_poly(p,r); |
---|
2236 | si->expected_length=pQuality(p,this,pLength(p)); |
---|
2237 | si->deg=pTotaldegree_full(p); |
---|
2238 | if (!rField_is_Zp(r)){ |
---|
2239 | pCleardenom(p); |
---|
2240 | } |
---|
2241 | si->lcm_of_lm=p; |
---|
2242 | |
---|
2243 | // c->apairs[n-1-i]=si; |
---|
2244 | si_array[i]=si; |
---|
2245 | |
---|
2246 | } |
---|
2247 | |
---|
2248 | qsort(si_array,s,sizeof(sorted_pair_node*),tgb_pair_better_gen2); |
---|
2249 | apairs=spn_merge(apairs,pair_top+1,si_array,s,this); |
---|
2250 | pair_top+=s; |
---|
2251 | } |
---|
2252 | slimgb_alg::slimgb_alg(ideal I, int syz_comp,BOOLEAN F4){ |
---|
2253 | completed=FALSE; |
---|
2254 | this->syz_comp=syz_comp; |
---|
2255 | r=currRing; |
---|
2256 | nc=rIsPluralRing(r); |
---|
2257 | this->lastDpBlockStart=get_last_dp_block_start(r); |
---|
2258 | //Print("last dp Block start: %i\n", this->lastDpBlockStart); |
---|
2259 | is_homog=TRUE; |
---|
2260 | { |
---|
2261 | int hz; |
---|
2262 | for(hz=0;hz<IDELEMS(I);hz++){ |
---|
2263 | assume(I->m[hz]!=NULL); |
---|
2264 | int d=pTotaldegree(I->m[hz]); |
---|
2265 | poly t=I->m[hz]->next; |
---|
2266 | while(t) |
---|
2267 | { |
---|
2268 | if (d!=pTotaldegree(t,r)) |
---|
2269 | { |
---|
2270 | is_homog=FALSE; |
---|
2271 | break; |
---|
2272 | } |
---|
2273 | t=t->next; |
---|
2274 | } |
---|
2275 | if(!(is_homog)) break; |
---|
2276 | } |
---|
2277 | } |
---|
2278 | eliminationProblem=((!(is_homog))&&((pLexOrder)||(I->rank>0))); |
---|
2279 | |
---|
2280 | // Print("is homog:%d",c->is_homog); |
---|
2281 | void* h; |
---|
2282 | poly hp; |
---|
2283 | int i,j; |
---|
2284 | to_destroy=NULL; |
---|
2285 | easy_product_crit=0; |
---|
2286 | extended_product_crit=0; |
---|
2287 | if (rField_is_Zp(r)) |
---|
2288 | isDifficultField=FALSE; |
---|
2289 | else |
---|
2290 | isDifficultField=TRUE; |
---|
2291 | //not fully correct |
---|
2292 | //(rChar()==0); |
---|
2293 | F4_mode=F4; |
---|
2294 | |
---|
2295 | reduction_steps=0; |
---|
2296 | last_index=-1; |
---|
2297 | |
---|
2298 | F=NULL; |
---|
2299 | F_minus=NULL; |
---|
2300 | |
---|
2301 | Rcounter=0; |
---|
2302 | |
---|
2303 | soon_free=NULL; |
---|
2304 | |
---|
2305 | tmp_lm=pOne(); |
---|
2306 | |
---|
2307 | normal_forms=0; |
---|
2308 | current_degree=1; |
---|
2309 | |
---|
2310 | max_pairs=5*I->idelems(); |
---|
2311 | |
---|
2312 | apairs=(sorted_pair_node**) omalloc(sizeof(sorted_pair_node*)*max_pairs); |
---|
2313 | pair_top=-1; |
---|
2314 | |
---|
2315 | int n=I->idelems(); |
---|
2316 | array_lengths=n; |
---|
2317 | |
---|
2318 | |
---|
2319 | i=0; |
---|
2320 | this->n=0; |
---|
2321 | T_deg=(int*) omalloc(n*sizeof(int)); |
---|
2322 | if(eliminationProblem) |
---|
2323 | T_deg_full=(int*) omalloc(n*sizeof(int)); |
---|
2324 | else |
---|
2325 | T_deg_full=NULL; |
---|
2326 | tmp_pair_lm=(poly*) omalloc(n*sizeof(poly)); |
---|
2327 | tmp_spn=(sorted_pair_node**) omalloc(n*sizeof(sorted_pair_node*)); |
---|
2328 | lm_bin=omGetSpecBin(POLYSIZE + (r->ExpL_Size)*sizeof(long)); |
---|
2329 | #ifdef HEAD_BIN |
---|
2330 | HeadBin=omGetSpecBin(POLYSIZE + (currRing->ExpL_Size)*sizeof(long)); |
---|
2331 | #endif |
---|
2332 | /* omUnGetSpecBin(&(c->HeadBin)); */ |
---|
2333 | #ifndef HAVE_BOOST |
---|
2334 | #ifdef USE_STDVECBOOL |
---|
2335 | #else |
---|
2336 | h=omalloc(n*sizeof(char*)); |
---|
2337 | |
---|
2338 | states=(char**) h; |
---|
2339 | #endif |
---|
2340 | #endif |
---|
2341 | h=omalloc(n*sizeof(int)); |
---|
2342 | lengths=(int*) h; |
---|
2343 | weighted_lengths=(wlen_type*)omalloc(n*sizeof(wlen_type)); |
---|
2344 | gcd_of_terms=(poly*) omalloc(n*sizeof(poly)); |
---|
2345 | |
---|
2346 | short_Exps=(long*) omalloc(n*sizeof(long)); |
---|
2347 | if (F4_mode) |
---|
2348 | S=idInit(n,I->rank); |
---|
2349 | else |
---|
2350 | S=idInit(1,I->rank); |
---|
2351 | strat=new skStrategy; |
---|
2352 | if (eliminationProblem) |
---|
2353 | strat->honey=TRUE; |
---|
2354 | strat->syzComp = 0; |
---|
2355 | initBuchMoraCrit(strat); |
---|
2356 | initBuchMoraPos(strat); |
---|
2357 | strat->initEcart = initEcartBBA; |
---|
2358 | strat->tailRing=r; |
---|
2359 | strat->enterS = enterSBba; |
---|
2360 | strat->sl = -1; |
---|
2361 | i=n; |
---|
2362 | i=1;//some strange bug else |
---|
2363 | /* initS(c->S,NULL,c->strat); */ |
---|
2364 | /* intS start: */ |
---|
2365 | // i=((i+IDELEMS(c->S)+15)/16)*16; |
---|
2366 | strat->ecartS=(intset)omAlloc(i*sizeof(int)); /*initec(i);*/ |
---|
2367 | strat->sevS=(unsigned long*)omAlloc0(i*sizeof(unsigned long)); |
---|
2368 | /*initsevS(i);*/ |
---|
2369 | strat->S_2_R=(int*)omAlloc0(i*sizeof(int));/*initS_2_R(i);*/ |
---|
2370 | strat->fromQ=NULL; |
---|
2371 | strat->Shdl=idInit(1,1); |
---|
2372 | strat->S=strat->Shdl->m; |
---|
2373 | strat->lenS=(int*)omAlloc0(i*sizeof(int)); |
---|
2374 | if((isDifficultField)||(eliminationProblem)) |
---|
2375 | strat->lenSw=(wlen_type*)omAlloc0(i*sizeof(wlen_type)); |
---|
2376 | else |
---|
2377 | strat->lenSw=NULL; |
---|
2378 | sorted_pair_node* si; |
---|
2379 | assume(n>0); |
---|
2380 | add_to_basis_ideal_quotient(I->m[0],this,NULL); |
---|
2381 | |
---|
2382 | assume(strat->sl==strat->Shdl->idelems()-1); |
---|
2383 | if(!(F4_mode)) |
---|
2384 | { |
---|
2385 | poly* array_arg=I->m; |
---|
2386 | array_arg++; |
---|
2387 | introduceDelayedPairs(array_arg,n-1); |
---|
2388 | /* |
---|
2389 | for (i=1;i<n;i++)//the 1 is wanted, because first element is added to basis |
---|
2390 | { |
---|
2391 | // add_to_basis(I->m[i],-1,-1,c); |
---|
2392 | si=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
2393 | si->i=-1; |
---|
2394 | si->j=-2; |
---|
2395 | si->expected_length=pQuality(I->m[i],this,pLength(I->m[i])); |
---|
2396 | si->deg=pTotaldegree(I->m[i]); |
---|
2397 | if (!rField_is_Zp(r)){ |
---|
2398 | pCleardenom(I->m[i]); |
---|
2399 | } |
---|
2400 | si->lcm_of_lm=I->m[i]; |
---|
2401 | |
---|
2402 | // c->apairs[n-1-i]=si; |
---|
2403 | apairs[n-i-1]=si; |
---|
2404 | ++(pair_top); |
---|
2405 | }*/ |
---|
2406 | } |
---|
2407 | else |
---|
2408 | { |
---|
2409 | for (i=1;i<n;i++)//the 1 is wanted, because first element is added to basis |
---|
2410 | add_to_basis_ideal_quotient(I->m[i],this,NULL); |
---|
2411 | } |
---|
2412 | for(i=0;i<I->idelems();i++) |
---|
2413 | { |
---|
2414 | I->m[i]=NULL; |
---|
2415 | } |
---|
2416 | idDelete(&I); |
---|
2417 | add_later=idInit(ADD_LATER_SIZE,S->rank); |
---|
2418 | memset(add_later->m,0,ADD_LATER_SIZE*sizeof(poly)); |
---|
2419 | } |
---|
2420 | slimgb_alg::~slimgb_alg(){ |
---|
2421 | |
---|
2422 | if (!(completed)){ |
---|
2423 | poly* add=(poly*) omalloc((pair_top+2)*sizeof(poly)); |
---|
2424 | int piter; |
---|
2425 | int pos=0; |
---|
2426 | for(piter=0;piter<=pair_top;piter++){ |
---|
2427 | sorted_pair_node* s=apairs[piter]; |
---|
2428 | if (s->i<0){ |
---|
2429 | //delayed element |
---|
2430 | if (s->lcm_of_lm!=NULL){ |
---|
2431 | add[pos]=s->lcm_of_lm; |
---|
2432 | pos++; |
---|
2433 | |
---|
2434 | } |
---|
2435 | } |
---|
2436 | |
---|
2437 | free_sorted_pair_node(s,r); |
---|
2438 | apairs[piter]=NULL; |
---|
2439 | } |
---|
2440 | pair_top=-1; |
---|
2441 | add[pos]=NULL; |
---|
2442 | pos=0; |
---|
2443 | while(add[pos]!=NULL){ |
---|
2444 | add_to_basis_ideal_quotient(add[pos],this,NULL); |
---|
2445 | pos++; |
---|
2446 | } |
---|
2447 | for(piter=0;piter<=pair_top;piter++){ |
---|
2448 | sorted_pair_node* s=apairs[piter]; |
---|
2449 | assume(s->i>=0); |
---|
2450 | free_sorted_pair_node(s,r); |
---|
2451 | apairs[piter]=NULL; |
---|
2452 | } |
---|
2453 | pair_top=-1; |
---|
2454 | } |
---|
2455 | id_Delete(&add_later,r); |
---|
2456 | int i,j; |
---|
2457 | slimgb_alg* c=this; |
---|
2458 | while(c->to_destroy) |
---|
2459 | { |
---|
2460 | pDelete(&(c->to_destroy->p)); |
---|
2461 | poly_list_node* old=c->to_destroy; |
---|
2462 | c->to_destroy=c->to_destroy->next; |
---|
2463 | omfree(old); |
---|
2464 | } |
---|
2465 | while(c->F) |
---|
2466 | { |
---|
2467 | for(i=0;i<c->F->size;i++){ |
---|
2468 | pDelete(&(c->F->mp[i].m)); |
---|
2469 | } |
---|
2470 | omfree(c->F->mp); |
---|
2471 | c->F->mp=NULL; |
---|
2472 | mp_array_list* old=c->F; |
---|
2473 | c->F=c->F->next; |
---|
2474 | omfree(old); |
---|
2475 | } |
---|
2476 | while(c->F_minus) |
---|
2477 | { |
---|
2478 | for(i=0;i<c->F_minus->size;i++){ |
---|
2479 | pDelete(&(c->F_minus->p[i])); |
---|
2480 | } |
---|
2481 | omfree(c->F_minus->p); |
---|
2482 | c->F_minus->p=NULL; |
---|
2483 | poly_array_list* old=c->F_minus; |
---|
2484 | c->F_minus=c->F_minus->next; |
---|
2485 | omfree(old); |
---|
2486 | } |
---|
2487 | #ifndef HAVE_BOOST |
---|
2488 | #ifndef USE_STDVECBOOL |
---|
2489 | for(int z=1 /* zero length at 0 */;z<c->n;z++){ |
---|
2490 | omfree(c->states[z]); |
---|
2491 | } |
---|
2492 | omfree(c->states); |
---|
2493 | #endif |
---|
2494 | #endif |
---|
2495 | |
---|
2496 | omfree(c->lengths); |
---|
2497 | omfree(c->weighted_lengths); |
---|
2498 | for(int z=0;z<c->n;z++) |
---|
2499 | { |
---|
2500 | pDelete(&c->tmp_pair_lm[z]); |
---|
2501 | omfree(c->tmp_spn[z]); |
---|
2502 | } |
---|
2503 | omfree(c->tmp_pair_lm); |
---|
2504 | omfree(c->tmp_spn); |
---|
2505 | |
---|
2506 | omfree(c->T_deg); |
---|
2507 | if(c->T_deg_full) |
---|
2508 | omfree(c->T_deg_full); |
---|
2509 | |
---|
2510 | omFree(c->strat->ecartS); |
---|
2511 | omFree(c->strat->sevS); |
---|
2512 | // initsevS(i); |
---|
2513 | omFree(c->strat->S_2_R); |
---|
2514 | |
---|
2515 | |
---|
2516 | omFree(c->strat->lenS); |
---|
2517 | |
---|
2518 | if(c->strat->lenSw) omFree(c->strat->lenSw); |
---|
2519 | |
---|
2520 | |
---|
2521 | |
---|
2522 | |
---|
2523 | for(i=0;i<c->n;i++){ |
---|
2524 | if(c->gcd_of_terms[i]) |
---|
2525 | pDelete(&(c->gcd_of_terms[i])); |
---|
2526 | } |
---|
2527 | omfree(c->gcd_of_terms); |
---|
2528 | |
---|
2529 | omfree(c->apairs); |
---|
2530 | if (TEST_OPT_PROT) |
---|
2531 | { |
---|
2532 | //Print("calculated %d NFs\n",c->normal_forms); |
---|
2533 | Print("\nNF:%i product criterion:%i, ext_product criterion:%i \n", c->normal_forms, c->easy_product_crit, c->extended_product_crit); |
---|
2534 | |
---|
2535 | |
---|
2536 | } |
---|
2537 | int deleted_form_c_s=0; |
---|
2538 | |
---|
2539 | for(i=0;i<=c->strat->sl;i++){ |
---|
2540 | if (!c->strat->S[i]) continue; |
---|
2541 | BOOLEAN found=FALSE; |
---|
2542 | for(j=0;j<c->n;j++){ |
---|
2543 | if (c->S->m[j]==c->strat->S[i]){ |
---|
2544 | found=TRUE; |
---|
2545 | break; |
---|
2546 | } |
---|
2547 | } |
---|
2548 | if(!found) pDelete(&c->strat->S[i]); |
---|
2549 | } |
---|
2550 | // for(i=0;i<c->n;i++){ |
---|
2551 | // if (c->rep[i]!=i){ |
---|
2552 | // // for(j=0;j<=c->strat->sl;j++){ |
---|
2553 | // // if(c->strat->S[j]==c->S->m[i]){ |
---|
2554 | // // c->strat->S[j]=NULL; |
---|
2555 | // // break; |
---|
2556 | // // } |
---|
2557 | // // } |
---|
2558 | // // PrintS("R_delete"); |
---|
2559 | // pDelete(&c->S->m[i]); |
---|
2560 | // } |
---|
2561 | // } |
---|
2562 | |
---|
2563 | if (completed){ |
---|
2564 | for(i=0;i<c->n;i++) |
---|
2565 | { |
---|
2566 | assume(c->S->m[i]!=NULL); |
---|
2567 | if (p_GetComp(c->S->m[i],currRing)>this->syz_comp) continue; |
---|
2568 | for(j=0;j<c->n;j++) |
---|
2569 | { |
---|
2570 | if((c->S->m[j]==NULL)||(i==j)) |
---|
2571 | continue; |
---|
2572 | assume(p_LmShortDivisibleBy(c->S->m[j],c->short_Exps[j], |
---|
2573 | c->S->m[i],~c->short_Exps[i], |
---|
2574 | c->r)==p_LmDivisibleBy(c->S->m[j], |
---|
2575 | c->S->m[i], |
---|
2576 | c->r)); |
---|
2577 | if (p_LmShortDivisibleBy(c->S->m[j],c->short_Exps[j], |
---|
2578 | c->S->m[i],~c->short_Exps[i], |
---|
2579 | c->r)) |
---|
2580 | { |
---|
2581 | pDelete(&c->S->m[i]); |
---|
2582 | break; |
---|
2583 | } |
---|
2584 | } |
---|
2585 | } |
---|
2586 | } |
---|
2587 | omfree(c->short_Exps); |
---|
2588 | |
---|
2589 | |
---|
2590 | ideal I=c->S; |
---|
2591 | |
---|
2592 | IDELEMS(I)=c->n; |
---|
2593 | |
---|
2594 | idSkipZeroes(I); |
---|
2595 | for(i=0;i<=c->strat->sl;i++) |
---|
2596 | c->strat->S[i]=NULL; |
---|
2597 | id_Delete(&c->strat->Shdl,c->r); |
---|
2598 | pDelete(&c->tmp_lm); |
---|
2599 | omUnGetSpecBin(&lm_bin); |
---|
2600 | delete c->strat; |
---|
2601 | } |
---|
2602 | ideal t_rep_gb(ring r,ideal arg_I, int syz_comp, BOOLEAN F4_mode){ |
---|
2603 | |
---|
2604 | // Print("QlogSize(0) %d, QlogSize(1) %d,QlogSize(-2) %d, QlogSize(5) %d\n", QlogSize(nlInit(0)),QlogSize(nlInit(1)),QlogSize(nlInit(-2)),QlogSize(nlInit(5))); |
---|
2605 | |
---|
2606 | if (TEST_OPT_PROT) |
---|
2607 | if (F4_mode) |
---|
2608 | PrintS("F4 Modus \n"); |
---|
2609 | |
---|
2610 | //debug_Ideal=arg_debug_Ideal; |
---|
2611 | //if (debug_Ideal) PrintS("DebugIdeal received\n"); |
---|
2612 | // Print("Idelems %i \n----------\n",IDELEMS(arg_I)); |
---|
2613 | ideal I=idCopy(arg_I); |
---|
2614 | idCompactify(I); |
---|
2615 | if (idIs0(I)) return I; |
---|
2616 | int i; |
---|
2617 | for(i=0;i<IDELEMS(I);i++) |
---|
2618 | { |
---|
2619 | assume(I->m[i]!=NULL); |
---|
2620 | simplify_poly(I->m[i],currRing); |
---|
2621 | } |
---|
2622 | |
---|
2623 | |
---|
2624 | qsort(I->m,IDELEMS(I),sizeof(poly),poly_crit); |
---|
2625 | //Print("Idelems %i \n----------\n",IDELEMS(I)); |
---|
2626 | //slimgb_alg* c=(slimgb_alg*) omalloc(sizeof(slimgb_alg)); |
---|
2627 | //int syz_comp=arg_I->rank; |
---|
2628 | slimgb_alg* c=new slimgb_alg(I, syz_comp,F4_mode); |
---|
2629 | |
---|
2630 | |
---|
2631 | while ((c->pair_top>=0) && ((!(TEST_OPT_DEGBOUND)) || (c->apairs[c->pair_top]->deg<=Kstd1_deg))) |
---|
2632 | { |
---|
2633 | if(F4_mode) |
---|
2634 | go_on_F4(c); |
---|
2635 | else |
---|
2636 | go_on(c); |
---|
2637 | } |
---|
2638 | if (c->pair_top<0) |
---|
2639 | c->completed=TRUE; |
---|
2640 | I=c->S; |
---|
2641 | delete c; |
---|
2642 | if (TEST_OPT_REDSB){ |
---|
2643 | ideal erg=kInterRed(I,NULL); |
---|
2644 | assume(I!=erg); |
---|
2645 | id_Delete(&I, currRing); |
---|
2646 | return erg; |
---|
2647 | } |
---|
2648 | //qsort(I->m, IDELEMS(I),sizeof(poly),pLmCmp_func); |
---|
2649 | assume(I->rank>=idRankFreeModule(I)); |
---|
2650 | return(I); |
---|
2651 | } |
---|
2652 | void now_t_rep(const int & arg_i, const int & arg_j, slimgb_alg* c){ |
---|
2653 | int i,j; |
---|
2654 | if (arg_i==arg_j){ |
---|
2655 | return; |
---|
2656 | } |
---|
2657 | if (arg_i>arg_j){ |
---|
2658 | i=arg_j; |
---|
2659 | j=arg_i; |
---|
2660 | } else { |
---|
2661 | i=arg_i; |
---|
2662 | j=arg_j; |
---|
2663 | } |
---|
2664 | c->states[j][i]=HASTREP; |
---|
2665 | } |
---|
2666 | |
---|
2667 | static BOOLEAN has_t_rep(const int & arg_i, const int & arg_j, slimgb_alg* state){ |
---|
2668 | assume(0<=arg_i); |
---|
2669 | assume(0<=arg_j); |
---|
2670 | assume(arg_i<state->n); |
---|
2671 | assume(arg_j<state->n); |
---|
2672 | if (arg_i==arg_j) |
---|
2673 | { |
---|
2674 | return (TRUE); |
---|
2675 | } |
---|
2676 | if (arg_i>arg_j) |
---|
2677 | { |
---|
2678 | return (state->states[arg_i][arg_j]==HASTREP); |
---|
2679 | } else |
---|
2680 | { |
---|
2681 | return (state->states[arg_j][arg_i]==HASTREP); |
---|
2682 | } |
---|
2683 | } |
---|
2684 | static int pLcmDeg(poly a, poly b) |
---|
2685 | { |
---|
2686 | int i; |
---|
2687 | int n=0; |
---|
2688 | for (i=pVariables; i; i--) |
---|
2689 | { |
---|
2690 | n+=si_max( pGetExp(a,i), pGetExp(b,i)); |
---|
2691 | } |
---|
2692 | return n; |
---|
2693 | |
---|
2694 | } |
---|
2695 | |
---|
2696 | |
---|
2697 | |
---|
2698 | static void shorten_tails(slimgb_alg* c, poly monom) |
---|
2699 | { |
---|
2700 | return; |
---|
2701 | // BOOLEAN corr=lenS_correct(c->strat); |
---|
2702 | for(int i=0;i<c->n;i++) |
---|
2703 | { |
---|
2704 | //enter tail |
---|
2705 | |
---|
2706 | if (c->S->m[i]==NULL) continue; |
---|
2707 | poly tail=c->S->m[i]->next; |
---|
2708 | poly prev=c->S->m[i]; |
---|
2709 | BOOLEAN did_something=FALSE; |
---|
2710 | while((tail!=NULL)&& (pLmCmp(tail, monom)>=0)) |
---|
2711 | { |
---|
2712 | if (p_LmDivisibleBy(monom,tail,c->r)) |
---|
2713 | { |
---|
2714 | did_something=TRUE; |
---|
2715 | prev->next=tail->next; |
---|
2716 | tail->next=NULL; |
---|
2717 | p_Delete(& tail,c->r); |
---|
2718 | tail=prev; |
---|
2719 | //PrintS("Shortened"); |
---|
2720 | c->lengths[i]--; |
---|
2721 | } |
---|
2722 | prev=tail; |
---|
2723 | tail=tail->next; |
---|
2724 | } |
---|
2725 | if (did_something) |
---|
2726 | { |
---|
2727 | int new_pos; |
---|
2728 | wlen_type q; |
---|
2729 | q=pQuality(c->S->m[i],c,c->lengths[i]); |
---|
2730 | new_pos=simple_posInS(c->strat,c->S->m[i],c->lengths[i],q); |
---|
2731 | |
---|
2732 | int old_pos=-1; |
---|
2733 | //assume new_pos<old_pos |
---|
2734 | for (int z=0;z<=c->strat->sl;z++) |
---|
2735 | { |
---|
2736 | if (c->strat->S[z]==c->S->m[i]) |
---|
2737 | { |
---|
2738 | old_pos=z; |
---|
2739 | break; |
---|
2740 | } |
---|
2741 | } |
---|
2742 | if (old_pos== -1) |
---|
2743 | for (int z=new_pos-1;z>=0;z--) |
---|
2744 | { |
---|
2745 | if (c->strat->S[z]==c->S->m[i]) |
---|
2746 | { |
---|
2747 | old_pos=z; |
---|
2748 | break; |
---|
2749 | } |
---|
2750 | } |
---|
2751 | assume(old_pos>=0); |
---|
2752 | assume(new_pos<=old_pos); |
---|
2753 | assume(pLength(c->strat->S[old_pos])==c->lengths[i]); |
---|
2754 | c->strat->lenS[old_pos]=c->lengths[i]; |
---|
2755 | if (c->strat->lenSw) |
---|
2756 | c->strat->lenSw[old_pos]=q; |
---|
2757 | |
---|
2758 | if (new_pos<old_pos) |
---|
2759 | move_forward_in_S(old_pos,new_pos,c->strat); |
---|
2760 | |
---|
2761 | length_one_crit(c,i,c->lengths[i]); |
---|
2762 | } |
---|
2763 | } |
---|
2764 | } |
---|
2765 | static sorted_pair_node* pop_pair(slimgb_alg* c){ |
---|
2766 | clean_top_of_pair_list(c); |
---|
2767 | |
---|
2768 | if(c->pair_top<0) return NULL; |
---|
2769 | else return (c->apairs[c->pair_top--]); |
---|
2770 | } |
---|
2771 | sorted_pair_node* top_pair(slimgb_alg* c){ |
---|
2772 | super_clean_top_of_pair_list(c);//yeah, I know, it's odd that I use a different proc here |
---|
2773 | |
---|
2774 | if(c->pair_top<0) return NULL; |
---|
2775 | else return (c->apairs[c->pair_top]); |
---|
2776 | } |
---|
2777 | sorted_pair_node* quick_pop_pair(slimgb_alg* c){ |
---|
2778 | if(c->pair_top<0) return NULL; |
---|
2779 | else return (c->apairs[c->pair_top--]); |
---|
2780 | } |
---|
2781 | |
---|
2782 | |
---|
2783 | |
---|
2784 | static void super_clean_top_of_pair_list(slimgb_alg* c){ |
---|
2785 | while((c->pair_top>=0) |
---|
2786 | && (c->apairs[c->pair_top]->i>=0) |
---|
2787 | && (good_has_t_rep(c->apairs[c->pair_top]->j, c->apairs[c->pair_top]->i,c))) |
---|
2788 | { |
---|
2789 | |
---|
2790 | free_sorted_pair_node(c->apairs[c->pair_top],c->r); |
---|
2791 | c->pair_top--; |
---|
2792 | |
---|
2793 | } |
---|
2794 | } |
---|
2795 | void clean_top_of_pair_list(slimgb_alg* c){ |
---|
2796 | while((c->pair_top>=0) && (c->apairs[c->pair_top]->i>=0) && (!state_is(UNCALCULATED,c->apairs[c->pair_top]->j, c->apairs[c->pair_top]->i,c))){ |
---|
2797 | |
---|
2798 | free_sorted_pair_node(c->apairs[c->pair_top],c->r); |
---|
2799 | c->pair_top--; |
---|
2800 | |
---|
2801 | } |
---|
2802 | } |
---|
2803 | static BOOLEAN state_is(calc_state state, const int & arg_i, const int & arg_j, slimgb_alg* c){ |
---|
2804 | assume(0<=arg_i); |
---|
2805 | assume(0<=arg_j); |
---|
2806 | assume(arg_i<c->n); |
---|
2807 | assume(arg_j<c->n); |
---|
2808 | if (arg_i==arg_j) |
---|
2809 | { |
---|
2810 | return (TRUE); |
---|
2811 | } |
---|
2812 | if (arg_i>arg_j) |
---|
2813 | { |
---|
2814 | return (c->states[arg_i][arg_j]==state); |
---|
2815 | } |
---|
2816 | else return(c->states[arg_j][arg_i]==state); |
---|
2817 | } |
---|
2818 | |
---|
2819 | |
---|
2820 | void free_sorted_pair_node(sorted_pair_node* s, ring r){ |
---|
2821 | if (s->i>=0) |
---|
2822 | p_Delete(&s->lcm_of_lm,r); |
---|
2823 | omfree(s); |
---|
2824 | } |
---|
2825 | static BOOLEAN pair_better(sorted_pair_node* a,sorted_pair_node* b, slimgb_alg* c){ |
---|
2826 | if (a->deg<b->deg) return TRUE; |
---|
2827 | if (a->deg>b->deg) return FALSE; |
---|
2828 | |
---|
2829 | |
---|
2830 | int comp=pLmCmp(a->lcm_of_lm, b->lcm_of_lm); |
---|
2831 | if (comp==1) return FALSE; |
---|
2832 | if (-1==comp) return TRUE; |
---|
2833 | if (a->expected_length<b->expected_length) return TRUE; |
---|
2834 | if (a->expected_length>b->expected_length) return FALSE; |
---|
2835 | if (a->i+a->j<b->i+b->j) return TRUE; |
---|
2836 | if (a->i+a->j>b->i+b->j) return FALSE; |
---|
2837 | if (a->i<b->i) return TRUE; |
---|
2838 | if (a->i>b->i) return FALSE; |
---|
2839 | return TRUE; |
---|
2840 | } |
---|
2841 | |
---|
2842 | static int tgb_pair_better_gen(const void* ap,const void* bp){ |
---|
2843 | |
---|
2844 | sorted_pair_node* a=*((sorted_pair_node**)ap); |
---|
2845 | sorted_pair_node* b=*((sorted_pair_node**)bp); |
---|
2846 | assume((a->i>a->j) || (a->i < 0)); |
---|
2847 | assume((b->i>b->j) || (b->i < 0)); |
---|
2848 | if (a->deg<b->deg) return -1; |
---|
2849 | if (a->deg>b->deg) return 1; |
---|
2850 | |
---|
2851 | |
---|
2852 | |
---|
2853 | int comp=pLmCmp(a->lcm_of_lm, b->lcm_of_lm); |
---|
2854 | |
---|
2855 | if (comp==1) return 1; |
---|
2856 | if (-1==comp) return -1; |
---|
2857 | if (a->expected_length<b->expected_length) return -1; |
---|
2858 | if (a->expected_length>b->expected_length) return 1; |
---|
2859 | if (a->i+a->j<b->i+b->j) return -1; |
---|
2860 | if (a->i+a->j>b->i+b->j) return 1; |
---|
2861 | if (a->i<b->i) return -1; |
---|
2862 | if (a->i>b->i) return 1; |
---|
2863 | return 0; |
---|
2864 | } |
---|
2865 | |
---|
2866 | |
---|
2867 | static poly gcd_of_terms(poly p, ring r){ |
---|
2868 | int max_g_0=0; |
---|
2869 | assume(p!=NULL); |
---|
2870 | int i; |
---|
2871 | poly m=pOne(); |
---|
2872 | poly t; |
---|
2873 | for (i=pVariables; i; i--) |
---|
2874 | { |
---|
2875 | pSetExp(m,i, pGetExp(p,i)); |
---|
2876 | if (max_g_0==0) |
---|
2877 | if (pGetExp(m,i)>0) |
---|
2878 | max_g_0=i; |
---|
2879 | } |
---|
2880 | |
---|
2881 | t=p->next; |
---|
2882 | while (t!=NULL){ |
---|
2883 | |
---|
2884 | if (max_g_0==0) break; |
---|
2885 | for (i=max_g_0; i; i--) |
---|
2886 | { |
---|
2887 | pSetExp(m,i, si_min(pGetExp(t,i),pGetExp(m,i))); |
---|
2888 | if (max_g_0==i) |
---|
2889 | if (pGetExp(m,i)==0) |
---|
2890 | max_g_0=0; |
---|
2891 | if ((max_g_0==0) && (pGetExp(m,i)>0)){ |
---|
2892 | max_g_0=i; |
---|
2893 | } |
---|
2894 | } |
---|
2895 | t=t->next; |
---|
2896 | } |
---|
2897 | |
---|
2898 | if (max_g_0>0) |
---|
2899 | return m; |
---|
2900 | pDelete(&m); |
---|
2901 | return NULL; |
---|
2902 | } |
---|
2903 | static inline BOOLEAN pHasNotCFExtended(poly p1, poly p2, poly m) |
---|
2904 | { |
---|
2905 | |
---|
2906 | if (pGetComp(p1) > 0 || pGetComp(p2) > 0) |
---|
2907 | return FALSE; |
---|
2908 | int i = 1; |
---|
2909 | loop |
---|
2910 | { |
---|
2911 | if ((pGetExp(p1, i)-pGetExp(m,i) >0) && (pGetExp(p2, i) -pGetExp(m,i)> 0)) return FALSE; |
---|
2912 | if (i == pVariables) return TRUE; |
---|
2913 | i++; |
---|
2914 | } |
---|
2915 | } |
---|
2916 | |
---|
2917 | |
---|
2918 | //for impl reasons may return false if the the normal product criterion matches |
---|
2919 | static inline BOOLEAN extended_product_criterion(poly p1, poly gcd1, poly p2, poly gcd2, slimgb_alg* c){ |
---|
2920 | if (c->nc) |
---|
2921 | return FALSE; |
---|
2922 | if(gcd1==NULL) return FALSE; |
---|
2923 | if(gcd2==NULL) return FALSE; |
---|
2924 | gcd1->next=gcd2; //may ordered incorrect |
---|
2925 | poly m=gcd_of_terms(gcd1,c->r); |
---|
2926 | gcd1->next=NULL; |
---|
2927 | if (m==NULL) return FALSE; |
---|
2928 | |
---|
2929 | BOOLEAN erg=pHasNotCFExtended(p1,p2,m); |
---|
2930 | pDelete(&m); |
---|
2931 | return erg; |
---|
2932 | } |
---|
2933 | static poly kBucketGcd(kBucket* b, ring r) |
---|
2934 | { |
---|
2935 | int s=0; |
---|
2936 | int i; |
---|
2937 | poly m, n; |
---|
2938 | BOOLEAN initialized=FALSE; |
---|
2939 | for (i=MAX_BUCKET-1;i>=0;i--) |
---|
2940 | { |
---|
2941 | if (b->buckets[i]!=NULL){ |
---|
2942 | if (!initialized){ |
---|
2943 | m=gcd_of_terms(b->buckets[i],r); |
---|
2944 | initialized=TRUE; |
---|
2945 | if (m==NULL) return NULL; |
---|
2946 | } |
---|
2947 | else |
---|
2948 | { |
---|
2949 | n=gcd_of_terms(b->buckets[i],r); |
---|
2950 | if (n==NULL) { |
---|
2951 | pDelete(&m); |
---|
2952 | return NULL; |
---|
2953 | } |
---|
2954 | n->next=m; |
---|
2955 | poly t=gcd_of_terms(n,r); |
---|
2956 | n->next=NULL; |
---|
2957 | pDelete(&m); |
---|
2958 | pDelete(&n); |
---|
2959 | m=t; |
---|
2960 | if (m==NULL) return NULL; |
---|
2961 | |
---|
2962 | } |
---|
2963 | } |
---|
2964 | } |
---|
2965 | return m; |
---|
2966 | } |
---|
2967 | |
---|
2968 | |
---|
2969 | |
---|
2970 | |
---|
2971 | static inline wlen_type quality_of_pos_in_strat_S(int pos, slimgb_alg* c){ |
---|
2972 | if (c->strat->lenSw!=NULL) return c->strat->lenSw[pos]; |
---|
2973 | return c->strat->lenS[pos]; |
---|
2974 | } |
---|
2975 | static inline wlen_type quality_of_pos_in_strat_S_mult_high(int pos, poly high, slimgb_alg* c) |
---|
2976 | //meant only for nc |
---|
2977 | { |
---|
2978 | poly m=pOne(); |
---|
2979 | pExpVectorDiff(m,high ,c->strat->S[pos]); |
---|
2980 | poly product = mm_Mult_pp(m, c->strat->S[pos], c->r); |
---|
2981 | wlen_type erg=pQuality(product,c); |
---|
2982 | pDelete(&m); |
---|
2983 | pDelete(&product); |
---|
2984 | return erg; |
---|
2985 | } |
---|
2986 | |
---|
2987 | static void multi_reduction_lls_trick(red_object* los, int losl,slimgb_alg* c,find_erg & erg){ |
---|
2988 | erg.expand=NULL; |
---|
2989 | BOOLEAN swap_roles; //from reduce_by, to_reduce_u if fromS |
---|
2990 | if(erg.fromS){ |
---|
2991 | if(pLmEqual(c->strat->S[erg.reduce_by],los[erg.to_reduce_u].p)) |
---|
2992 | { |
---|
2993 | int i; |
---|
2994 | wlen_type quality_a=quality_of_pos_in_strat_S(erg.reduce_by,c); |
---|
2995 | int best=erg.to_reduce_u+1; |
---|
2996 | /* |
---|
2997 | for (i=erg.to_reduce_u;i>=erg.to_reduce_l;i--){ |
---|
2998 | int qc=los[i].guess_quality(c); |
---|
2999 | if (qc<quality_a){ |
---|
3000 | best=i; |
---|
3001 | quality_a=qc; |
---|
3002 | } |
---|
3003 | } |
---|
3004 | if(best!=erg.to_reduce_u+1){*/ |
---|
3005 | wlen_type qc; |
---|
3006 | best=find_best(los,erg.to_reduce_l,erg.to_reduce_u,qc,c); |
---|
3007 | if(qc<quality_a){ |
---|
3008 | los[best].flatten(); |
---|
3009 | int b_pos=kBucketCanonicalize(los[best].bucket); |
---|
3010 | los[best].p=los[best].bucket->buckets[b_pos]; |
---|
3011 | qc=pQuality(los[best].bucket->buckets[b_pos],c); |
---|
3012 | if(qc<quality_a){ |
---|
3013 | red_object h=los[erg.to_reduce_u]; |
---|
3014 | los[erg.to_reduce_u]=los[best]; |
---|
3015 | los[best]=h; |
---|
3016 | swap_roles=TRUE; |
---|
3017 | } |
---|
3018 | else |
---|
3019 | swap_roles=FALSE; |
---|
3020 | } |
---|
3021 | else{ |
---|
3022 | |
---|
3023 | swap_roles=FALSE; |
---|
3024 | } |
---|
3025 | |
---|
3026 | } |
---|
3027 | else |
---|
3028 | { |
---|
3029 | if (erg.to_reduce_u>erg.to_reduce_l){ |
---|
3030 | |
---|
3031 | int i; |
---|
3032 | wlen_type quality_a=quality_of_pos_in_strat_S(erg.reduce_by,c); |
---|
3033 | if (c->nc) |
---|
3034 | quality_a=quality_of_pos_in_strat_S_mult_high(erg.reduce_by, los[erg.to_reduce_u].p, c); |
---|
3035 | int best=erg.to_reduce_u+1; |
---|
3036 | wlen_type qc; |
---|
3037 | best=find_best(los,erg.to_reduce_l,erg.to_reduce_u,qc,c); |
---|
3038 | assume(qc==los[best].guess_quality(c)); |
---|
3039 | if(qc<quality_a){ |
---|
3040 | los[best].flatten(); |
---|
3041 | int b_pos=kBucketCanonicalize(los[best].bucket); |
---|
3042 | los[best].p=los[best].bucket->buckets[b_pos]; |
---|
3043 | qc==pQuality(los[best].bucket->buckets[b_pos],c); |
---|
3044 | //(best!=erg.to_reduce_u+1) |
---|
3045 | if(qc<quality_a){ |
---|
3046 | red_object h=los[erg.to_reduce_u]; |
---|
3047 | los[erg.to_reduce_u]=los[best]; |
---|
3048 | los[best]=h; |
---|
3049 | erg.reduce_by=erg.to_reduce_u; |
---|
3050 | erg.fromS=FALSE; |
---|
3051 | erg.to_reduce_u--; |
---|
3052 | } |
---|
3053 | } |
---|
3054 | } |
---|
3055 | else |
---|
3056 | { |
---|
3057 | assume(erg.to_reduce_u==erg.to_reduce_l); |
---|
3058 | wlen_type quality_a= |
---|
3059 | quality_of_pos_in_strat_S(erg.reduce_by,c); |
---|
3060 | wlen_type qc=los[erg.to_reduce_u].guess_quality(c); |
---|
3061 | if (qc<0) PrintS("Wrong wlen_type"); |
---|
3062 | if(qc<quality_a){ |
---|
3063 | int best=erg.to_reduce_u; |
---|
3064 | los[best].flatten(); |
---|
3065 | int b_pos=kBucketCanonicalize(los[best].bucket); |
---|
3066 | los[best].p=los[best].bucket->buckets[b_pos]; |
---|
3067 | qc=pQuality(los[best].bucket->buckets[b_pos],c); |
---|
3068 | assume(qc>=0); |
---|
3069 | if(qc<quality_a){ |
---|
3070 | BOOLEAN exp=FALSE; |
---|
3071 | if(qc<=2){ |
---|
3072 | //Print("\n qc is %lld \n",qc); |
---|
3073 | exp=TRUE; |
---|
3074 | } |
---|
3075 | |
---|
3076 | else { |
---|
3077 | if (qc<quality_a/2) |
---|
3078 | exp=TRUE; |
---|
3079 | else |
---|
3080 | if(erg.reduce_by<c->n/4) |
---|
3081 | exp=TRUE; |
---|
3082 | } |
---|
3083 | if (exp){ |
---|
3084 | poly clear_into; |
---|
3085 | los[erg.to_reduce_u].flatten(); |
---|
3086 | kBucketClear(los[erg.to_reduce_u].bucket,&clear_into,&erg.expand_length); |
---|
3087 | erg.expand=pCopy(clear_into); |
---|
3088 | kBucketInit(los[erg.to_reduce_u].bucket,clear_into,erg.expand_length); |
---|
3089 | if (TEST_OPT_PROT) |
---|
3090 | PrintS("e"); |
---|
3091 | |
---|
3092 | } |
---|
3093 | } |
---|
3094 | } |
---|
3095 | |
---|
3096 | |
---|
3097 | } |
---|
3098 | |
---|
3099 | swap_roles=FALSE; |
---|
3100 | return; |
---|
3101 | } |
---|
3102 | |
---|
3103 | } |
---|
3104 | else{ |
---|
3105 | if(erg.reduce_by>erg.to_reduce_u){ |
---|
3106 | //then lm(rb)>= lm(tru) so = |
---|
3107 | assume(erg.reduce_by==erg.to_reduce_u+1); |
---|
3108 | int best=erg.reduce_by; |
---|
3109 | wlen_type quality_a=los[erg.reduce_by].guess_quality(c); |
---|
3110 | wlen_type qc; |
---|
3111 | best=find_best(los,erg.to_reduce_l,erg.to_reduce_u,qc,c); |
---|
3112 | |
---|
3113 | int i; |
---|
3114 | if(qc<quality_a){ |
---|
3115 | red_object h=los[erg.reduce_by]; |
---|
3116 | los[erg.reduce_by]=los[best]; |
---|
3117 | los[best]=h; |
---|
3118 | } |
---|
3119 | swap_roles=FALSE; |
---|
3120 | return; |
---|
3121 | |
---|
3122 | |
---|
3123 | } |
---|
3124 | else |
---|
3125 | { |
---|
3126 | assume(!pLmEqual(los[erg.reduce_by].p,los[erg.to_reduce_l].p)); |
---|
3127 | assume(erg.to_reduce_u==erg.to_reduce_l); |
---|
3128 | //further assume, that reduce_by is the above all other polys |
---|
3129 | //with same leading term |
---|
3130 | int il=erg.reduce_by; |
---|
3131 | wlen_type quality_a =los[erg.reduce_by].guess_quality(c); |
---|
3132 | wlen_type qc; |
---|
3133 | while((il>0) && pLmEqual(los[il-1].p,los[il].p)){ |
---|
3134 | il--; |
---|
3135 | qc=los[il].guess_quality(c); |
---|
3136 | if (qc<quality_a){ |
---|
3137 | quality_a=qc; |
---|
3138 | erg.reduce_by=il; |
---|
3139 | } |
---|
3140 | } |
---|
3141 | swap_roles=FALSE; |
---|
3142 | } |
---|
3143 | |
---|
3144 | } |
---|
3145 | if(swap_roles) |
---|
3146 | { |
---|
3147 | if (TEST_OPT_PROT) |
---|
3148 | PrintS("b"); |
---|
3149 | poly clear_into; |
---|
3150 | int dummy_len; |
---|
3151 | int new_length; |
---|
3152 | int bp=erg.to_reduce_u;//bucket_positon |
---|
3153 | //kBucketClear(los[bp].bucket,&clear_into,&new_length); |
---|
3154 | new_length=los[bp].clear_to_poly(); |
---|
3155 | clear_into=los[bp].p; |
---|
3156 | poly p=c->strat->S[erg.reduce_by]; |
---|
3157 | int j=erg.reduce_by; |
---|
3158 | int old_length=c->strat->lenS[j];// in view of S |
---|
3159 | los[bp].p=p; |
---|
3160 | if (c->eliminationProblem){ |
---|
3161 | los[bp].sugar=pTotaldegree_full(p); |
---|
3162 | } |
---|
3163 | kBucketInit(los[bp].bucket,p,old_length); |
---|
3164 | wlen_type qal=pQuality(clear_into,c,new_length); |
---|
3165 | int pos_in_c=-1; |
---|
3166 | int z; |
---|
3167 | int new_pos; |
---|
3168 | new_pos=simple_posInS(c->strat,clear_into,new_length, qal); |
---|
3169 | assume(new_pos<=j); |
---|
3170 | for (z=c->n;z;z--) |
---|
3171 | { |
---|
3172 | if(p==c->S->m[z-1]) |
---|
3173 | { |
---|
3174 | pos_in_c=z-1; |
---|
3175 | break; |
---|
3176 | } |
---|
3177 | } |
---|
3178 | |
---|
3179 | int tdeg_full=-1; |
---|
3180 | int tdeg=-1; |
---|
3181 | if(pos_in_c>=0) |
---|
3182 | { |
---|
3183 | #ifdef TGB_RESORT_PAIRS |
---|
3184 | c->used_b=TRUE; |
---|
3185 | c->replaced[pos_in_c]=TRUE; |
---|
3186 | #endif |
---|
3187 | tdeg=c->T_deg[pos_in_c]; |
---|
3188 | c->S->m[pos_in_c]=clear_into; |
---|
3189 | c->lengths[pos_in_c]=new_length; |
---|
3190 | c->weighted_lengths[pos_in_c]=qal; |
---|
3191 | if (c->gcd_of_terms[pos_in_c]==NULL) |
---|
3192 | c->gcd_of_terms[pos_in_c]=gcd_of_terms(clear_into,c->r); |
---|
3193 | if (c->T_deg_full) |
---|
3194 | tdeg_full=c->T_deg_full[pos_in_c]=pTotaldegree_full(clear_into); |
---|
3195 | else tdeg_full=tdeg; |
---|
3196 | c_S_element_changed_hook(pos_in_c,c); |
---|
3197 | } else { |
---|
3198 | if (c->eliminationProblem){ |
---|
3199 | tdeg_full=pTotaldegree_full(clear_into); |
---|
3200 | tdeg=pTotaldegree(clear_into); |
---|
3201 | } |
---|
3202 | } |
---|
3203 | c->strat->S[j]=clear_into; |
---|
3204 | c->strat->lenS[j]=new_length; |
---|
3205 | |
---|
3206 | assume(pLength(clear_into)==new_length); |
---|
3207 | if(c->strat->lenSw!=NULL) |
---|
3208 | c->strat->lenSw[j]=qal; |
---|
3209 | if (!rField_is_Zp(c->r)) |
---|
3210 | { |
---|
3211 | pContent(clear_into); |
---|
3212 | pCleardenom(clear_into);//should be unnecessary |
---|
3213 | } |
---|
3214 | else |
---|
3215 | pNorm(clear_into); |
---|
3216 | #ifdef FIND_DETERMINISTIC |
---|
3217 | erg.reduce_by=j; |
---|
3218 | //resort later see diploma thesis, find_in_S must be deterministic |
---|
3219 | //during multireduction if spolys are only in the span of the |
---|
3220 | //input polys |
---|
3221 | #else |
---|
3222 | |
---|
3223 | if (new_pos<j) |
---|
3224 | { |
---|
3225 | if (c->strat->honey) c->strat->ecartS[j]=tdeg_full-tdeg; |
---|
3226 | move_forward_in_S(j,new_pos,c->strat); |
---|
3227 | erg.reduce_by=new_pos; |
---|
3228 | } |
---|
3229 | #endif |
---|
3230 | } |
---|
3231 | } |
---|
3232 | static int fwbw(red_object* los, int i){ |
---|
3233 | int i2=i; |
---|
3234 | int step=1; |
---|
3235 | |
---|
3236 | BOOLEAN bw=FALSE; |
---|
3237 | BOOLEAN incr=TRUE; |
---|
3238 | |
---|
3239 | while(1) |
---|
3240 | { |
---|
3241 | if(!bw) |
---|
3242 | { |
---|
3243 | step=si_min(i2,step); |
---|
3244 | if (step==0) break; |
---|
3245 | i2-=step; |
---|
3246 | |
---|
3247 | if(!pLmEqual(los[i].p,los[i2].p)) |
---|
3248 | { |
---|
3249 | bw=TRUE; |
---|
3250 | incr=FALSE; |
---|
3251 | } |
---|
3252 | else |
---|
3253 | { |
---|
3254 | if ((!incr) &&(step==1)) break; |
---|
3255 | } |
---|
3256 | |
---|
3257 | |
---|
3258 | } |
---|
3259 | else |
---|
3260 | { |
---|
3261 | |
---|
3262 | step=si_min(i-i2,step); |
---|
3263 | if (step==0) break; |
---|
3264 | i2+=step; |
---|
3265 | if(pLmEqual(los[i].p,los[i2].p)){ |
---|
3266 | if(step==1) break; |
---|
3267 | else |
---|
3268 | { |
---|
3269 | bw=FALSE; |
---|
3270 | } |
---|
3271 | } |
---|
3272 | |
---|
3273 | } |
---|
3274 | if (incr) |
---|
3275 | step*=2; |
---|
3276 | else |
---|
3277 | { |
---|
3278 | if (step%2==1) |
---|
3279 | step=(step+1)/2; |
---|
3280 | else |
---|
3281 | step/=2; |
---|
3282 | |
---|
3283 | } |
---|
3284 | } |
---|
3285 | return i2; |
---|
3286 | } |
---|
3287 | static void canonicalize_region(red_object* los, int l, int u,slimgb_alg* c){ |
---|
3288 | assume(l<=u+1); |
---|
3289 | int i; |
---|
3290 | for(i=l;i<=u;i++){ |
---|
3291 | kBucketCanonicalize(los[i].bucket); |
---|
3292 | } |
---|
3293 | |
---|
3294 | } |
---|
3295 | static void multi_reduction_find(red_object* los, int losl,slimgb_alg* c,int startf,find_erg & erg){ |
---|
3296 | kStrategy strat=c->strat; |
---|
3297 | |
---|
3298 | assume(startf<=losl); |
---|
3299 | assume((startf==losl-1)||(pLmCmp(los[startf].p,los[startf+1].p)==-1)); |
---|
3300 | int i=startf; |
---|
3301 | |
---|
3302 | int j; |
---|
3303 | while(i>=0){ |
---|
3304 | assume((i==losl-1)||(pLmCmp(los[i].p,los[i+1].p)<=0)); |
---|
3305 | assume(is_valid_ro(los[i])); |
---|
3306 | assume((!(c->eliminationProblem))||(los[i].sugar>=pTotaldegree(los[i].p))); |
---|
3307 | j=kFindDivisibleByInS_easy(strat,los[i]); |
---|
3308 | if(j>=0){ |
---|
3309 | |
---|
3310 | erg.to_reduce_u=i; |
---|
3311 | erg.reduce_by=j; |
---|
3312 | erg.fromS=TRUE; |
---|
3313 | int i2=fwbw(los,i); |
---|
3314 | assume(pLmEqual(los[i].p,los[i2].p)); |
---|
3315 | assume((i2==0)||(!pLmEqual(los[i2].p,los[i2-1].p))); |
---|
3316 | assume(i>=i2); |
---|
3317 | |
---|
3318 | |
---|
3319 | erg.to_reduce_l=i2; |
---|
3320 | assume((i==losl-1)||(pLmCmp(los[i].p,los[i+1].p)==-1)); |
---|
3321 | canonicalize_region(los,erg.to_reduce_u+1,startf,c); |
---|
3322 | return; |
---|
3323 | } |
---|
3324 | if (j<0){ |
---|
3325 | |
---|
3326 | //not reduceable, try to use this for reducing higher terms |
---|
3327 | int i2=fwbw(los,i); |
---|
3328 | assume(pLmEqual(los[i].p,los[i2].p)); |
---|
3329 | assume((i2==0)||(!pLmEqual(los[i2].p,los[i2-1].p))); |
---|
3330 | assume(i>=i2); |
---|
3331 | if(i2!=i){ |
---|
3332 | |
---|
3333 | |
---|
3334 | erg.to_reduce_u=i-1; |
---|
3335 | erg.to_reduce_l=i2; |
---|
3336 | erg.reduce_by=i; |
---|
3337 | erg.fromS=FALSE; |
---|
3338 | assume((i==losl-1)||(pLmCmp(los[i].p,los[i+1].p)==-1)); |
---|
3339 | canonicalize_region(los,erg.to_reduce_u+1,startf,c); |
---|
3340 | return; |
---|
3341 | } |
---|
3342 | |
---|
3343 | i--; |
---|
3344 | } |
---|
3345 | } |
---|
3346 | erg.reduce_by=-1;//error code |
---|
3347 | return; |
---|
3348 | } |
---|
3349 | |
---|
3350 | // nicht reduzierbare eintraege in ergebnisliste schreiben |
---|
3351 | // nullen loeschen |
---|
3352 | // while(finde_groessten leitterm reduzierbar(c,erg)){ |
---|
3353 | |
---|
3354 | static int multi_reduction_clear_zeroes(red_object* los, int losl, int l, int u) |
---|
3355 | { |
---|
3356 | |
---|
3357 | |
---|
3358 | int deleted=0; |
---|
3359 | int i=l; |
---|
3360 | int last=-1; |
---|
3361 | while(i<=u) |
---|
3362 | { |
---|
3363 | |
---|
3364 | if(los[i].p==NULL){ |
---|
3365 | kBucketDestroy(&los[i].bucket); |
---|
3366 | // delete los[i];//here we assume los are constructed with new |
---|
3367 | //destroy resources, must be added here |
---|
3368 | if (last>=0) |
---|
3369 | { |
---|
3370 | memmove(los+(int)(last+1-deleted),los+(last+1),sizeof(red_object)*(i-1-last)); |
---|
3371 | } |
---|
3372 | last=i; |
---|
3373 | deleted++; |
---|
3374 | } |
---|
3375 | i++; |
---|
3376 | } |
---|
3377 | if((last>=0)&&(last!=losl-1)) |
---|
3378 | memmove(los+(int)(last+1-deleted),los+last+1,sizeof(red_object)*(losl-1-last)); |
---|
3379 | return deleted; |
---|
3380 | |
---|
3381 | } |
---|
3382 | |
---|
3383 | static void sort_region_down(red_object* los, int l, int u, slimgb_alg* c) |
---|
3384 | { |
---|
3385 | qsort(los+l,u-l+1,sizeof(red_object),red_object_better_gen); |
---|
3386 | int i; |
---|
3387 | |
---|
3388 | for(i=l;i<=u;i++) |
---|
3389 | { |
---|
3390 | BOOLEAN moved=FALSE; |
---|
3391 | int j; |
---|
3392 | for(j=i;j;j--) |
---|
3393 | { |
---|
3394 | if(pLmCmp(los[j].p,los[j-1].p)==-1){ |
---|
3395 | red_object h=los[j]; |
---|
3396 | los[j]=los[j-1]; |
---|
3397 | los[j-1]=h; |
---|
3398 | moved=TRUE; |
---|
3399 | } |
---|
3400 | else break; |
---|
3401 | } |
---|
3402 | if(!moved) return; |
---|
3403 | } |
---|
3404 | } |
---|
3405 | |
---|
3406 | //assume that los is ordered ascending by leading term, all non zero |
---|
3407 | static void multi_reduction(red_object* los, int & losl, slimgb_alg* c) |
---|
3408 | { |
---|
3409 | poly* delay=(poly*) omalloc(losl*sizeof(poly)); |
---|
3410 | int delay_s=0; |
---|
3411 | //initialize; |
---|
3412 | assume(c->strat->sl>=0); |
---|
3413 | assume(losl>0); |
---|
3414 | int i; |
---|
3415 | wlen_type max_initial_quality=0; |
---|
3416 | |
---|
3417 | for(i=0;i<losl;i++){ |
---|
3418 | los[i].sev=pGetShortExpVector(los[i].p); |
---|
3419 | //SetShortExpVector(); |
---|
3420 | los[i].p=kBucketGetLm(los[i].bucket); |
---|
3421 | if (los[i].initial_quality>max_initial_quality) |
---|
3422 | max_initial_quality=los[i].initial_quality; |
---|
3423 | // else |
---|
3424 | // Print("init2_qal=%lld;", los[i].initial_quality); |
---|
3425 | // Print("initial_quality=%lld;",max_initial_quality); |
---|
3426 | } |
---|
3427 | |
---|
3428 | kStrategy strat=c->strat; |
---|
3429 | int curr_pos=losl-1; |
---|
3430 | |
---|
3431 | |
---|
3432 | // nicht reduzierbare eintrï¿œe in ergebnisliste schreiben |
---|
3433 | // nullen loeschen |
---|
3434 | while(curr_pos>=0){ |
---|
3435 | |
---|
3436 | find_erg erg; |
---|
3437 | multi_reduction_find(los, losl,c,curr_pos,erg);//last argument should be curr_pos |
---|
3438 | if(erg.reduce_by<0) break; |
---|
3439 | |
---|
3440 | |
---|
3441 | |
---|
3442 | erg.expand=NULL; |
---|
3443 | int d=erg.to_reduce_u-erg.to_reduce_l+1; |
---|
3444 | |
---|
3445 | |
---|
3446 | multi_reduction_lls_trick(los,losl,c,erg); |
---|
3447 | |
---|
3448 | |
---|
3449 | int i; |
---|
3450 | int len; |
---|
3451 | // wrp(los[erg.to_reduce_u].p); |
---|
3452 | //Print("\n"); |
---|
3453 | multi_reduce_step(erg,los,c); |
---|
3454 | |
---|
3455 | |
---|
3456 | if(!K_TEST_OPT_REDTHROUGH){ |
---|
3457 | for(i=erg.to_reduce_l;i<=erg.to_reduce_u;i++){ |
---|
3458 | if (los[i].p!=NULL) //the check (los[i].p!=NULL) might be invalid |
---|
3459 | { |
---|
3460 | // |
---|
3461 | assume(los[i].initial_quality>0); |
---|
3462 | |
---|
3463 | if(los[i].guess_quality(c) |
---|
3464 | >1.5*delay_factor*max_initial_quality){ |
---|
3465 | if (TEST_OPT_PROT) |
---|
3466 | PrintS("v"); |
---|
3467 | los[i].canonicalize(); |
---|
3468 | if(los[i].guess_quality(c) |
---|
3469 | >delay_factor*max_initial_quality){ |
---|
3470 | if (TEST_OPT_PROT) |
---|
3471 | PrintS("."); |
---|
3472 | los[i].clear_to_poly(); |
---|
3473 | //delay.push_back(los[i].p); |
---|
3474 | delay[delay_s]=los[i].p; |
---|
3475 | delay_s++; |
---|
3476 | |
---|
3477 | los[i].p=NULL; |
---|
3478 | |
---|
3479 | } |
---|
3480 | } |
---|
3481 | |
---|
3482 | } |
---|
3483 | } |
---|
3484 | } |
---|
3485 | int deleted=multi_reduction_clear_zeroes(los, losl, erg.to_reduce_l, erg.to_reduce_u); |
---|
3486 | if(erg.fromS==FALSE) |
---|
3487 | curr_pos=si_max(erg.to_reduce_u,erg.reduce_by); |
---|
3488 | else |
---|
3489 | curr_pos=erg.to_reduce_u; |
---|
3490 | losl -= deleted; |
---|
3491 | curr_pos -= deleted; |
---|
3492 | |
---|
3493 | //Print("deleted %i \n",deleted); |
---|
3494 | if ((TEST_V_UPTORADICAL) &&(!(erg.fromS))) |
---|
3495 | sort_region_down(los,si_min(erg.to_reduce_l,erg.reduce_by),(si_max(erg.to_reduce_u,erg.reduce_by))-deleted,c); |
---|
3496 | else |
---|
3497 | sort_region_down(los, erg.to_reduce_l, erg.to_reduce_u-deleted, c); |
---|
3498 | |
---|
3499 | |
---|
3500 | if(erg.expand) |
---|
3501 | { |
---|
3502 | #ifdef FIND_DETERMINISTIC |
---|
3503 | int i; |
---|
3504 | for(i=0;c->expandS[i];i++); |
---|
3505 | c->expandS=(poly*) omrealloc(c->expandS,(i+2)*sizeof(poly)); |
---|
3506 | c->expandS[i]=erg.expand; |
---|
3507 | c->expandS[i+1]=NULL; |
---|
3508 | #else |
---|
3509 | int ecart=0; |
---|
3510 | if (c->eliminationProblem){ |
---|
3511 | ecart=pTotaldegree_full(erg.expand)-pTotaldegree(erg.expand); |
---|
3512 | } |
---|
3513 | add_to_reductors(c,erg.expand,erg.expand_length,ecart); |
---|
3514 | #endif |
---|
3515 | } |
---|
3516 | |
---|
3517 | } |
---|
3518 | |
---|
3519 | |
---|
3520 | //sorted_pair_node** pairs=(sorted_pair_node**) |
---|
3521 | // omalloc(delay_s*sizeof(sorted_pair_node*)); |
---|
3522 | c->introduceDelayedPairs(delay,delay_s); |
---|
3523 | /* |
---|
3524 | for(i=0;i<delay_s;i++){ |
---|
3525 | |
---|
3526 | poly p=delay[i]; |
---|
3527 | //if (rPar(c->r)==0) |
---|
3528 | simplify_poly(p,c->r); |
---|
3529 | sorted_pair_node* si=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
3530 | si->i=-1; |
---|
3531 | si->j=-1; |
---|
3532 | if (!rField_is_Zp(c->r)){ |
---|
3533 | if (!c->nc) |
---|
3534 | p=redTailShort(p, c->strat); |
---|
3535 | pCleardenom(p); |
---|
3536 | pContent(p); |
---|
3537 | } |
---|
3538 | si->expected_length=pQuality(p,c,pLength(p)); |
---|
3539 | si->deg=pTotaldegree(p); |
---|
3540 | |
---|
3541 | si->lcm_of_lm=p; |
---|
3542 | pairs[i]=si; |
---|
3543 | } |
---|
3544 | qsort(pairs,delay_s,sizeof(sorted_pair_node*),tgb_pair_better_gen2); |
---|
3545 | c->apairs=spn_merge(c->apairs,c->pair_top+1,pairs,delay_s,c); |
---|
3546 | c->pair_top+=delay_s;*/ |
---|
3547 | omfree(delay); |
---|
3548 | //omfree(pairs); |
---|
3549 | return; |
---|
3550 | } |
---|
3551 | void red_object::flatten(){ |
---|
3552 | assume(p==kBucketGetLm(bucket)); |
---|
3553 | } |
---|
3554 | void red_object::validate(){ |
---|
3555 | p=kBucketGetLm(bucket); |
---|
3556 | if(p) |
---|
3557 | sev=pGetShortExpVector(p); |
---|
3558 | } |
---|
3559 | int red_object::clear_to_poly(){ |
---|
3560 | flatten(); |
---|
3561 | int l; |
---|
3562 | kBucketClear(bucket,&p,&l); |
---|
3563 | return l; |
---|
3564 | } |
---|
3565 | |
---|
3566 | |
---|
3567 | |
---|
3568 | |
---|
3569 | |
---|
3570 | void reduction_step::reduce(red_object* r, int l, int u){} |
---|
3571 | void simple_reducer::do_reduce(red_object & ro){ |
---|
3572 | number coef; |
---|
3573 | if (!c->nc) |
---|
3574 | coef=kBucketPolyRed(ro.bucket,p, |
---|
3575 | p_len, |
---|
3576 | c->strat->kNoether); |
---|
3577 | else |
---|
3578 | nc_BucketPolyRed_Z(ro.bucket, p, &coef); |
---|
3579 | nDelete(&coef); |
---|
3580 | } |
---|
3581 | |
---|
3582 | |
---|
3583 | void simple_reducer::reduce(red_object* r, int l, int u){ |
---|
3584 | this->pre_reduce(r,l,u); |
---|
3585 | int i; |
---|
3586 | //debug start |
---|
3587 | int im; |
---|
3588 | |
---|
3589 | |
---|
3590 | if(c->eliminationProblem){ |
---|
3591 | assume(p_LmEqual(r[l].p,r[u].p,c->r)); |
---|
3592 | /*int lm_deg=pTotaldegree(r[l].p); |
---|
3593 | reducer_deg=lm_deg+pTotaldegree_full(p)-pTotaldegree(p);*/ |
---|
3594 | } |
---|
3595 | |
---|
3596 | for(i=l;i<=u;i++){ |
---|
3597 | |
---|
3598 | |
---|
3599 | |
---|
3600 | this->do_reduce(r[i]); |
---|
3601 | if (c->eliminationProblem){ |
---|
3602 | r[i].sugar=si_max(r[i].sugar,reducer_deg); |
---|
3603 | } |
---|
3604 | } |
---|
3605 | for(i=l;i<=u;i++){ |
---|
3606 | |
---|
3607 | kBucketSimpleContent(r[i].bucket); |
---|
3608 | r[i].validate(); |
---|
3609 | #ifdef TGB_DEBUG |
---|
3610 | #endif |
---|
3611 | } |
---|
3612 | } |
---|
3613 | reduction_step::~reduction_step(){} |
---|
3614 | simple_reducer::~simple_reducer(){ |
---|
3615 | if(fill_back!=NULL) |
---|
3616 | { |
---|
3617 | kBucketInit(fill_back,p,p_len); |
---|
3618 | } |
---|
3619 | fill_back=NULL; |
---|
3620 | |
---|
3621 | } |
---|
3622 | |
---|
3623 | void multi_reduce_step(find_erg & erg, red_object* r, slimgb_alg* c){ |
---|
3624 | static int id=0; |
---|
3625 | id++; |
---|
3626 | unsigned long sev; |
---|
3627 | BOOLEAN lt_changed=FALSE; |
---|
3628 | int rn=erg.reduce_by; |
---|
3629 | poly red; |
---|
3630 | int red_len; |
---|
3631 | simple_reducer* pointer; |
---|
3632 | BOOLEAN work_on_copy=FALSE; |
---|
3633 | if(erg.fromS){ |
---|
3634 | red=c->strat->S[rn]; |
---|
3635 | red_len=c->strat->lenS[rn]; |
---|
3636 | assume(red_len==pLength(red)); |
---|
3637 | } |
---|
3638 | else |
---|
3639 | { |
---|
3640 | r[rn].flatten(); |
---|
3641 | kBucketClear(r[rn].bucket,&red,&red_len); |
---|
3642 | |
---|
3643 | if (!rField_is_Zp(c->r)) |
---|
3644 | { |
---|
3645 | pContent(red); |
---|
3646 | pCleardenom(red);//should be unnecessary |
---|
3647 | |
---|
3648 | } |
---|
3649 | pNormalize(red); |
---|
3650 | if (c->eliminationProblem){ |
---|
3651 | r[rn].sugar=pTotaldegree_full(red); |
---|
3652 | } |
---|
3653 | |
---|
3654 | if ((!(erg.fromS))&&(TEST_V_UPTORADICAL)){ |
---|
3655 | |
---|
3656 | if (polynomial_root(red,c->r)) |
---|
3657 | lt_changed=TRUE; |
---|
3658 | sev=p_GetShortExpVector(red,c->r);} |
---|
3659 | red_len=pLength(red); |
---|
3660 | } |
---|
3661 | if (((TEST_V_MODPSOLVSB)&&(red_len>1))||((c->nc)||(erg.to_reduce_u-erg.to_reduce_l>5))){ |
---|
3662 | work_on_copy=TRUE; |
---|
3663 | // poly m=pOne(); |
---|
3664 | poly m=c->tmp_lm; |
---|
3665 | pSetCoeff(m,nInit(1)); |
---|
3666 | for(int i=1;i<=pVariables;i++) |
---|
3667 | pSetExp(m,i,(pGetExp(r[erg.to_reduce_l].p, i)-pGetExp(red,i))); |
---|
3668 | pSetm(m); |
---|
3669 | poly red_cp; |
---|
3670 | if (!c->nc) |
---|
3671 | red_cp=ppMult_mm(red,m); |
---|
3672 | else |
---|
3673 | red_cp = mm_Mult_pp(m, red, c->r); |
---|
3674 | if(!erg.fromS){ |
---|
3675 | kBucketInit(r[rn].bucket,red,red_len); |
---|
3676 | } |
---|
3677 | //now reduce the copy |
---|
3678 | //static poly redNF2 (poly h,slimgb_alg* c , int &len, number& m,int n) |
---|
3679 | |
---|
3680 | if (!c->nc) |
---|
3681 | redTailShort(red_cp,c->strat); |
---|
3682 | //number mul; |
---|
3683 | // red_len--; |
---|
3684 | // red_cp->next=redNF2(red_cp->next,c,red_len,mul,c->average_length); |
---|
3685 | // pSetCoeff(red_cp,nMult(red_cp->coef,mul)); |
---|
3686 | // nDelete(&mul); |
---|
3687 | // red_len++; |
---|
3688 | red=red_cp; |
---|
3689 | red_len=pLength(red); |
---|
3690 | // pDelete(&m); |
---|
3691 | |
---|
3692 | } |
---|
3693 | int i; |
---|
3694 | |
---|
3695 | |
---|
3696 | |
---|
3697 | assume(red_len==pLength(red)); |
---|
3698 | |
---|
3699 | int reducer_deg=0; |
---|
3700 | if (c->eliminationProblem){ |
---|
3701 | int lm_deg=pTotaldegree(r[erg.to_reduce_l].p); |
---|
3702 | int ecart; |
---|
3703 | if (erg.fromS){ |
---|
3704 | assume(pTotaldegree_full(red)<=c->T_deg_full[erg.reduce_by]); |
---|
3705 | ecart=c->strat->ecartS[erg.reduce_by]; |
---|
3706 | } else { |
---|
3707 | ecart=pTotaldegree_full(red)-lm_deg; |
---|
3708 | } |
---|
3709 | reducer_deg=lm_deg+ecart; |
---|
3710 | } |
---|
3711 | pointer=new simple_reducer(red,red_len,reducer_deg,c); |
---|
3712 | |
---|
3713 | if ((!work_on_copy) && (!erg.fromS)) |
---|
3714 | pointer->fill_back=r[rn].bucket; |
---|
3715 | else |
---|
3716 | pointer->fill_back=NULL; |
---|
3717 | pointer->reduction_id=id; |
---|
3718 | pointer->c=c; |
---|
3719 | |
---|
3720 | pointer->reduce(r,erg.to_reduce_l, erg.to_reduce_u); |
---|
3721 | if(work_on_copy) pDelete(&pointer->p); |
---|
3722 | delete pointer; |
---|
3723 | if (lt_changed){ |
---|
3724 | assume(!erg.fromS); |
---|
3725 | r[erg.reduce_by].sev=sev; |
---|
3726 | } |
---|
3727 | |
---|
3728 | }; |
---|
3729 | |
---|
3730 | |
---|
3731 | |
---|
3732 | |
---|
3733 | void simple_reducer:: pre_reduce(red_object* r, int l, int u){} |
---|
3734 | |
---|