1 | |
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2 | // #define OM_CHECK 3 |
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3 | // #define OM_TRACK 5 |
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4 | // #define OM_KEEP 1 |
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5 | // TODO: |
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6 | // deg -> poly_crit |
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7 | // multiple rings |
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8 | // shorten_tails und dessen Aufrufe pruefen wlength!!! |
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9 | // calculating with formal sums |
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10 | // try to create spolys as formal sums |
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11 | |
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12 | #include "tgb.h" |
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13 | |
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14 | #define LEN_VAR1 |
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15 | #define degbound(p) assume(pTotaldegree(p)<10) |
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16 | #define inDebug(p) assume((debug_Ideal==NULL)||(kNF(debug_Ideal,NULL,p,0,0)==0)) |
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17 | #ifdef LEN_VAR1 |
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18 | // erste Variante: Laenge: Anzahl der Monome |
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19 | int pSLength(poly p, int l) { |
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20 | return l; } |
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21 | int kSBucketLength(kBucket* bucket) {return bucket_guess(bucket);} |
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22 | #endif |
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23 | |
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24 | #ifdef LEN_VAR2 |
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25 | // 2. Variante: Laenge: Platz fuer die Koeff. |
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26 | int pSLength(poly p,int l) |
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27 | { |
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28 | int s=0; |
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29 | while (p!=NULL) { s+=nSize(pGetCoeff(p));pIter(p); } |
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30 | return s; |
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31 | } |
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32 | int kSBucketLength(kBucket* b) |
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33 | { |
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34 | int s=0; |
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35 | int i; |
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36 | for (i=MAX_BUCKET;i>=0;i--) |
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37 | { |
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38 | s+=pSLength(b->buckets[i],0); |
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39 | } |
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40 | return s; |
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41 | } |
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42 | #endif |
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43 | |
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44 | #ifdef LEN_VAR3 |
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45 | // 3.Variante: Laenge: Platz fuer Leitk * Monomanzahl |
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46 | int pSLength(poly p,int l) |
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47 | { |
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48 | int c=nSize(pGetCoeff(p)); |
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49 | return c*l /*pLength(p)*/; |
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50 | } |
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51 | int kSBucketLength(kBucket* b) |
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52 | { |
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53 | int s=0; |
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54 | int c=nSize(pGetCoeff(kBucketGetLm(b)))+1; |
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55 | int i; |
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56 | for (i=MAX_BUCKET;i>0;i--) |
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57 | { |
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58 | s+=b->buckets_length[i] /*pLength(b->buckets[i])*/; |
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59 | } |
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60 | return s*c; |
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61 | } |
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62 | #endif |
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63 | |
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64 | #ifdef LEN_VAR4 |
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65 | // 4.Variante: Laenge: Platz fuer Leitk * (1+Platz fuer andere Koeff.) |
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66 | int pSLength(poly p, int l) |
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67 | { |
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68 | int s=1; |
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69 | int c=nSize(pGetCoeff(p)); |
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70 | pIter(p); |
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71 | while (p!=NULL) { s+=nSize(pGetCoeff(p));pIter(p); } |
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72 | return s*c; |
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73 | } |
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74 | int kSBucketLength(kBucket* b) |
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75 | { |
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76 | int s=1; |
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77 | int c=nSize(pGetCoeff(kBucketGetLm(b))); |
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78 | int i; |
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79 | for (i=MAX_BUCKET;i>0;i--) |
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80 | { |
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81 | if(b->buckets[i]==NULL) continue; |
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82 | s+=pSLength(b->buckets[i],0); |
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83 | } |
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84 | return s*c; |
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85 | } |
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86 | #endif |
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87 | |
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88 | static int LObject_better_gen(const void* ap, const void* bp) |
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89 | { |
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90 | LObject* a=*(LObject**)ap; |
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91 | LObject* b=*(LObject**)bp; |
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92 | return(pLmCmp(a->p,b->p)); |
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93 | } |
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94 | static int red_object_better_gen(const void* ap, const void* bp) |
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95 | { |
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96 | |
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97 | |
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98 | return(pLmCmp(((red_object*) ap)->p,((red_object*) bp)->p)); |
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99 | } |
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100 | static int pair_better_gen2(const void* ap,const void* bp){ |
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101 | return(-pair_better_gen(ap,bp)); |
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102 | } |
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103 | static int kFindDivisibleByInS_easy(kStrategy strat,const red_object & obj){ |
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104 | int i; |
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105 | long not_sev=~obj.sev; |
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106 | poly p=obj.p; |
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107 | for(i=0;i<=strat->sl;i++){ |
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108 | if (pLmShortDivisibleBy(strat->S[i],strat->sevS[i],p,not_sev)) |
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109 | return i; |
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110 | } |
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111 | return -1; |
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112 | } |
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113 | static int posInPairs (sorted_pair_node** p, int pn, sorted_pair_node* qe,calc_dat* c,int an=0) |
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114 | { |
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115 | if(pn==0) return 0; |
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116 | |
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117 | int length=pn-1; |
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118 | int i; |
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119 | //int an = 0; |
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120 | int en= length; |
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121 | |
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122 | if (pair_better(qe,p[en],c)) |
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123 | return length+1; |
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124 | |
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125 | while(1) |
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126 | { |
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127 | //if (an >= en-1) |
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128 | if(en-1<=an) |
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129 | { |
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130 | if (pair_better(p[an],qe,c)) return an; |
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131 | return en; |
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132 | } |
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133 | i=(an+en) / 2; |
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134 | if (pair_better(p[i],qe,c)) |
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135 | en=i; |
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136 | else an=i; |
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137 | } |
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138 | } |
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139 | static BOOLEAN ascending(int* i,int top){ |
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140 | if(top<1) return TRUE; |
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141 | if(i[top]<i[top-1]) return FALSE; |
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142 | return ascending(i,top-1); |
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143 | } |
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144 | |
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145 | sorted_pair_node** merge(sorted_pair_node** p, int pn,sorted_pair_node **q, int qn,calc_dat* c){ |
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146 | int i; |
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147 | int* a= (int*) omalloc(qn*sizeof(int)); |
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148 | // int mc; |
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149 | // PrintS("Debug\n"); |
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150 | // for(mc=0;mc<qn;mc++) |
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151 | // { |
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152 | |
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153 | // wrp(q[mc]->lcm_of_lm); |
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154 | // PrintS("\n"); |
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155 | // } |
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156 | // PrintS("Debug they are in\n"); |
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157 | // for(mc=0;mc<pn;mc++) |
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158 | // { |
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159 | |
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160 | // wrp(p[mc]->lcm_of_lm); |
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161 | // PrintS("\n"); |
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162 | // } |
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163 | int lastpos=0; |
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164 | for(i=0;i<qn;i++){ |
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165 | lastpos=posInPairs(p,pn,q[i],c, max(lastpos-1,0)); |
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166 | // cout<<lastpos<<"\n"; |
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167 | a[i]=lastpos; |
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168 | |
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169 | } |
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170 | if((pn+qn)>c->max_pairs){ |
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171 | p=(sorted_pair_node**) omrealloc(p,2*(pn+qn)*sizeof(sorted_pair_node*)); |
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172 | c->max_pairs=2*(pn+qn); |
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173 | } |
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174 | for(i=qn-1;i>=0;i--){ |
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175 | size_t size; |
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176 | if(qn-1>i) |
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177 | size=(a[i+1]-a[i])*sizeof(sorted_pair_node*); |
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178 | else |
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179 | size=(pn-a[i])*sizeof(sorted_pair_node*); //as indices begin with 0 |
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180 | memmove (p+a[i]+(1+i), p+a[i], size); |
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181 | p[a[i]+i]=q[i]; |
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182 | } |
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183 | omfree(a); |
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184 | return p; |
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185 | } |
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186 | |
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187 | |
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188 | static BOOLEAN trivial_syzygie(int pos1,int pos2,poly bound,calc_dat* c){ |
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189 | |
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190 | |
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191 | poly p1=c->S->m[pos1]; |
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192 | poly p2=c->S->m[pos2]; |
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193 | ring r=c->r; |
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194 | |
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195 | |
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196 | if (pGetComp(p1) > 0 || pGetComp(p2) > 0) |
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197 | return FALSE; |
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198 | int i = 1; |
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199 | poly m=NULL; |
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200 | poly gcd1=c->gcd_of_terms[pos1]; |
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201 | poly gcd2=c->gcd_of_terms[pos2]; |
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202 | |
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203 | if((gcd1!=NULL) && (gcd2!=NULL)) |
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204 | { |
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205 | gcd1->next=gcd2; //may ordered incorrect |
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206 | poly m=gcd_of_terms(gcd1,c->r); |
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207 | gcd1->next=NULL; |
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208 | |
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209 | } |
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210 | |
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211 | if (m==NULL) |
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212 | { |
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213 | loop |
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214 | { |
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215 | if (pGetExp(p1, i)+ pGetExp(p2, i) > pGetExp(bound,i)) return FALSE; |
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216 | if (i == pVariables){ |
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217 | PrintS("trivial"); |
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218 | return TRUE; |
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219 | } |
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220 | i++; |
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221 | } |
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222 | } |
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223 | else |
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224 | { |
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225 | loop |
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226 | { |
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227 | if (pGetExp(p1, i)-pGetExp(m,i) + pGetExp(p2, i) > pGetExp(bound,i)) return FALSE; |
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228 | if (i == pVariables){ |
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229 | pDelete(&m); |
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230 | PrintS("trivial"); |
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231 | return TRUE; |
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232 | } |
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233 | i++; |
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234 | } |
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235 | } |
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236 | |
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237 | |
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238 | |
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239 | |
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240 | } |
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241 | |
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242 | ///returns position sets w as weight |
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243 | int find_best(red_object* r,int l, int u, int &w, calc_dat* c){ |
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244 | int best=l; |
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245 | int i; |
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246 | w=r[l].guess_quality(c); |
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247 | for(i=l+1;i<=u;i++){ |
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248 | int w2=r[i].guess_quality(c); |
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249 | if(w2<w){ |
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250 | w=w2; |
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251 | best=i; |
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252 | } |
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253 | |
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254 | } |
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255 | return best; |
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256 | } |
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257 | |
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258 | #if 0 |
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259 | int find_best(red_object* r,int l, int u, int &w, calc_dat* c){ |
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260 | |
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261 | int sz=u-l+1; |
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262 | int n=sz/10+1; |
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263 | int filled=0; |
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264 | int* indizes=(int*) omalloc(n*sizeof(int)); |
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265 | int* weight=(int*) omalloc(n*sizeof(int)); |
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266 | int worst=-1; |
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267 | int i; |
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268 | for(i=l;i<=u;i++){ |
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269 | int q=r[i].guess_quality(c); |
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270 | if ((filled<n)||(q<worst)){ |
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271 | if(filled<n){ |
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272 | worst=max(q,worst); |
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273 | indizes[filled]=i; |
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274 | weight[filled]=q; |
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275 | filled++; |
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276 | } |
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277 | } |
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278 | else{ |
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279 | int j; |
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280 | for(j=0;j<filled;j++){ |
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281 | if (worst==weight[j]){ |
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282 | weight[j]=q; |
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283 | indizes[j]=i; |
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284 | } |
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285 | } |
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286 | worst=-1; |
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287 | for(j=0;j<filled;j++){ |
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288 | if (worst<weight[j]){ |
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289 | worst=weight[j]; |
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290 | } |
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291 | } |
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292 | } |
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293 | } |
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294 | assume(filled==n); |
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295 | int pos=0; |
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296 | |
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297 | for(i=0;i<filled;i++){ |
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298 | r[indizes[i]].canonicalize(); |
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299 | weight[i]=r[indizes[i]].guess_quality(c); |
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300 | if(weight[i]<weight[pos]) pos=i; |
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301 | } |
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302 | w=weight[pos]; |
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303 | pos=indizes[pos]; |
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304 | |
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305 | omfree(indizes); |
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306 | omfree(weight); |
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307 | |
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308 | assume(w==r[pos].guess_quality(c)); |
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309 | assume(l<=pos); |
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310 | assume(u>=pos); |
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311 | return pos; |
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312 | |
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313 | } |
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314 | |
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315 | #endif |
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316 | void red_object::canonicalize(){ |
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317 | kBucketCanonicalize(bucket); |
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318 | if(sum) |
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319 | kBucketCanonicalize(sum->ac->bucket); |
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320 | |
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321 | } |
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322 | BOOLEAN good_has_t_rep(int i, int j,calc_dat* c){ |
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323 | assume(i>=0); |
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324 | assume(j>=0); |
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325 | if (has_t_rep(i,j,c)) return TRUE; |
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326 | poly lm=pOne(); |
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327 | |
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328 | pLcm(c->S->m[i], c->S->m[j], lm); |
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329 | pSetm(lm); |
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330 | assume(lm!=NULL); |
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331 | int deciding_deg= pTotaldegree(lm); |
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332 | int* i_con =make_connections(i,j,lm,c); |
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333 | p_Delete(&lm,c->r); |
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334 | |
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335 | |
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336 | for (int n=0;((n<c->n) && (i_con[n]>=0));n++){ |
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337 | if (i_con[n]==j){ |
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338 | now_t_rep(i,j,c); |
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339 | omfree(i_con); |
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340 | |
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341 | return TRUE; |
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342 | } |
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343 | } |
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344 | omfree(i_con); |
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345 | |
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346 | return FALSE; |
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347 | } |
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348 | BOOLEAN lenS_correct(kStrategy strat){ |
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349 | int i; |
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350 | for(i=0;i<=strat->sl;i++){ |
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351 | if (strat->lenS[i]!=pLength(strat->S[i])) |
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352 | return FALSE; |
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353 | } |
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354 | return TRUE; |
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355 | } |
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356 | |
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357 | static void notice_miss(int i, int j, calc_dat* c){ |
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358 | PrintS("-"); |
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359 | |
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360 | } |
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361 | |
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362 | static void cleanS(kStrategy strat){ |
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363 | int i=0; |
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364 | LObject P; |
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365 | while(i<=strat->sl){ |
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366 | P.p=strat->S[i]; |
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367 | P.sev=strat->sevS[i]; |
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368 | if(kFindDivisibleByInS(strat->S,strat->sevS,strat->sl,&P)!=i){ |
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369 | deleteInS(i,strat); |
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370 | //remember destroying poly |
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371 | } |
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372 | else i++; |
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373 | } |
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374 | } |
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375 | static int bucket_guess(kBucket* bucket){ |
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376 | int sum=0; |
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377 | int i; |
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378 | for (i=MAX_BUCKET;i>=0;i--){ |
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379 | sum+=bucket->buckets_length[i]; |
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380 | } |
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381 | return sum; |
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382 | } |
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383 | |
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384 | |
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385 | |
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386 | |
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387 | |
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388 | |
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389 | static int add_to_reductors(calc_dat* c, poly h, int len){ |
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390 | inDebug(h); |
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391 | assume(lenS_correct(c->strat)); |
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392 | |
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393 | int i; |
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394 | if (c->is_char0) |
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395 | i=simple_posInS(c->strat,h,pSLength(h,len),c->is_char0); |
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396 | else |
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397 | i=simple_posInS(c->strat,h,len,c->is_char0); |
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398 | |
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399 | LObject P; memset(&P,0,sizeof(P)); |
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400 | P.tailRing=c->r; |
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401 | P.p=h; /*p_Copy(h,c->r);*/ |
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402 | P.FDeg=pFDeg(P.p,c->r); |
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403 | if (!rField_is_Zp(c->r)){ |
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404 | pCleardenom(P.p); |
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405 | pContent(P.p); //is a duplicate call, but belongs here |
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406 | } |
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407 | |
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408 | else |
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409 | pNorm(P.p); |
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410 | |
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411 | |
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412 | c->strat->enterS(P,i,c->strat); |
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413 | |
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414 | |
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415 | |
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416 | c->strat->lenS[i]=len; |
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417 | |
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418 | if(c->strat->lenSw) |
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419 | c->strat->lenSw[i]=pSLength(P.p,len); |
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420 | return i; |
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421 | |
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422 | } |
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423 | static void length_one_crit(calc_dat* c, int pos, int len) |
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424 | { |
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425 | if (len==1) |
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426 | { |
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427 | int i; |
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428 | for ( i=0;i<pos;i++) |
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429 | { |
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430 | if (c->lengths[i]==1) |
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431 | c->states[pos][i]=HASTREP; |
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432 | } |
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433 | for ( i=pos+1;i<c->n;i++){ |
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434 | if (c->lengths[i]==1) |
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435 | c->states[i][pos]=HASTREP; |
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436 | } |
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437 | shorten_tails(c,c->S->m[pos]); |
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438 | } |
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439 | } |
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440 | static sorted_pair_node* find_next_pair2(calc_dat* c, BOOLEAN go_higher){ |
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441 | clean_top_of_pair_list(c); |
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442 | sorted_pair_node* s=pop_pair(c); |
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443 | |
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444 | |
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445 | return s; |
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446 | } |
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447 | |
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448 | static void move_forward_in_S(int old_pos, int new_pos,kStrategy strat, BOOLEAN is_char0) |
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449 | { |
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450 | assume(old_pos>=new_pos); |
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451 | poly p=strat->S[old_pos]; |
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452 | int ecart=strat->ecartS[old_pos]; |
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453 | long sev=strat->sevS[old_pos]; |
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454 | int s_2_r=strat->S_2_R[old_pos]; |
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455 | int length=strat->lenS[old_pos]; |
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456 | int length_w; |
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457 | if(is_char0) |
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458 | length_w=strat->lenSw[old_pos]; |
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459 | int i; |
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460 | for (i=old_pos; i>new_pos; i--) |
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461 | { |
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462 | strat->S[i] = strat->S[i-1]; |
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463 | strat->ecartS[i] = strat->ecartS[i-1]; |
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464 | strat->sevS[i] = strat->sevS[i-1]; |
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465 | strat->S_2_R[i] = strat->S_2_R[i-1]; |
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466 | } |
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467 | if (strat->lenS!=NULL) |
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468 | for (i=old_pos; i>new_pos; i--) |
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469 | strat->lenS[i] = strat->lenS[i-1]; |
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470 | if (strat->lenSw!=NULL) |
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471 | for (i=old_pos; i>new_pos; i--) |
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472 | strat->lenSw[i] = strat->lenSw[i-1]; |
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473 | |
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474 | strat->S[new_pos]=p; |
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475 | strat->ecartS[new_pos]=ecart; |
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476 | strat->sevS[new_pos]=sev; |
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477 | strat->S_2_R[new_pos]=s_2_r; |
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478 | strat->lenS[new_pos]=length; |
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479 | if(is_char0) |
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480 | strat->lenSw[new_pos]=length_w; |
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481 | //assume(lenS_correct(strat)); |
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482 | } |
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483 | static void replace_pair(int & i, int & j, calc_dat* c) |
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484 | { |
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485 | c->soon_free=NULL; |
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486 | int curr_deg; |
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487 | poly lm=pOne(); |
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488 | |
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489 | pLcm(c->S->m[i], c->S->m[j], lm); |
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490 | pSetm(lm); |
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491 | int deciding_deg= pTotaldegree(lm); |
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492 | int* i_con =make_connections(i,j,lm,c); |
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493 | int z=0; |
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494 | |
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495 | for (int n=0;((n<c->n) && (i_con[n]>=0));n++){ |
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496 | if (i_con[n]==j){ |
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497 | now_t_rep(i,j,c); |
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498 | omfree(i_con); |
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499 | p_Delete(&lm,c->r); |
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500 | return; |
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501 | } |
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502 | } |
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503 | |
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504 | int* j_con =make_connections(j,lm,c); |
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505 | i= i_con[0]; |
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506 | j=j_con[0]; |
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507 | if(c->n>1){ |
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508 | if (i_con[1]>=0) |
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509 | i=i_con[1]; |
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510 | else { |
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511 | if (j_con[1]>=0) |
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512 | j=j_con[1]; |
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513 | } |
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514 | } |
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515 | pLcm(c->S->m[i], c->S->m[j], lm); |
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516 | pSetm(lm); |
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517 | poly short_s; |
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518 | curr_deg=pTotaldegree(lm); |
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519 | int_pair_node* last=NULL; |
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520 | |
---|
521 | for (int n=0;((n<c->n) && (j_con[n]>=0));n++){ |
---|
522 | for (int m=0;((m<c->n) && (i_con[m]>=0));m++){ |
---|
523 | pLcm(c->S->m[i_con[m]], c->S->m[j_con[n]], lm); |
---|
524 | pSetm(lm); |
---|
525 | if (pTotaldegree(lm)>=deciding_deg) |
---|
526 | { |
---|
527 | soon_t_rep(i_con[m],j_con[n],c); |
---|
528 | int_pair_node* h= (int_pair_node*)omalloc(sizeof(int_pair_node)); |
---|
529 | if (last!=NULL) |
---|
530 | last->next=h; |
---|
531 | else |
---|
532 | c->soon_free=h; |
---|
533 | h->next=NULL; |
---|
534 | h->a=i_con[m]; |
---|
535 | h->b=j_con[n]; |
---|
536 | last=h; |
---|
537 | } |
---|
538 | // if ((comp_deg<curr_deg) |
---|
539 | // || |
---|
540 | // ((comp_deg==curr_deg) && |
---|
541 | short_s=ksCreateShortSpoly(c->S->m[i_con[m]],c->S->m[j_con[n]],c->r); |
---|
542 | if (short_s==NULL) { |
---|
543 | i=i_con[m]; |
---|
544 | j=j_con[n]; |
---|
545 | now_t_rep(i_con[m],j_con[n],c); |
---|
546 | p_Delete(&lm,c->r); |
---|
547 | omfree(i_con); |
---|
548 | omfree(j_con); |
---|
549 | |
---|
550 | return; |
---|
551 | } |
---|
552 | #ifdef QUICK_SPOLY_TEST |
---|
553 | for (int dz=0;dz<=c->n;dz++){ |
---|
554 | if (dz==c->n) { |
---|
555 | //have found not head reducing pair |
---|
556 | i=i_con[m]; |
---|
557 | j=j_con[n]; |
---|
558 | p_Delete(&short_s,c->r); |
---|
559 | p_Delete(&lm,c->r); |
---|
560 | omfree(i_con); |
---|
561 | omfree(j_con); |
---|
562 | |
---|
563 | return; |
---|
564 | } |
---|
565 | if (p_LmDivisibleBy(c->S->m[dz],short_s,c->r)) break; |
---|
566 | } |
---|
567 | #endif |
---|
568 | int comp_deg(pTotaldegree(short_s)); |
---|
569 | p_Delete(&short_s,c->r); |
---|
570 | if ((comp_deg<curr_deg)) |
---|
571 | |
---|
572 | { |
---|
573 | curr_deg=comp_deg; |
---|
574 | i=i_con[m]; |
---|
575 | j=j_con[n]; |
---|
576 | } |
---|
577 | } |
---|
578 | } |
---|
579 | p_Delete(&lm,c->r); |
---|
580 | omfree(i_con); |
---|
581 | omfree(j_con); |
---|
582 | return; |
---|
583 | } |
---|
584 | |
---|
585 | |
---|
586 | static int* make_connections(int from, poly bound, calc_dat* c) |
---|
587 | { |
---|
588 | ideal I=c->S; |
---|
589 | int s=pTotaldegree(bound); |
---|
590 | int* cans=(int*) omalloc(c->n*sizeof(int)); |
---|
591 | int* connected=(int*) omalloc(c->n*sizeof(int)); |
---|
592 | int cans_length=0; |
---|
593 | connected[0]=from; |
---|
594 | int connected_length=1; |
---|
595 | long neg_bounds_short= ~p_GetShortExpVector(bound,c->r); |
---|
596 | for (int i=0;i<c->n;i++){ |
---|
597 | if (c->T_deg[i]>s) continue; |
---|
598 | if (i!=from){ |
---|
599 | if(p_LmShortDivisibleBy(I->m[i],c->short_Exps[i],bound,neg_bounds_short,c->r)){ |
---|
600 | cans[cans_length]=i; |
---|
601 | cans_length++; |
---|
602 | } |
---|
603 | } |
---|
604 | } |
---|
605 | int not_yet_found=cans_length; |
---|
606 | int con_checked=0; |
---|
607 | int pos; |
---|
608 | while((not_yet_found>0) && (con_checked<connected_length)){ |
---|
609 | pos=connected[con_checked]; |
---|
610 | for(int i=0;i<cans_length;i++){ |
---|
611 | if (cans[i]<0) continue; |
---|
612 | if (has_t_rep(pos,cans[i],c)) |
---|
613 | { |
---|
614 | connected[connected_length]=cans[i]; |
---|
615 | connected_length++; |
---|
616 | cans[i]=-1; |
---|
617 | --not_yet_found; |
---|
618 | } |
---|
619 | } |
---|
620 | con_checked++; |
---|
621 | } |
---|
622 | if (connected_length<c->n){ |
---|
623 | connected[connected_length]=-1; |
---|
624 | } |
---|
625 | omfree(cans); |
---|
626 | return connected; |
---|
627 | } |
---|
628 | static int* make_connections(int from, int to, poly bound, calc_dat* c) |
---|
629 | { |
---|
630 | ideal I=c->S; |
---|
631 | int s=pTotaldegree(bound); |
---|
632 | int* cans=(int*) omalloc(c->n*sizeof(int)); |
---|
633 | int* connected=(int*) omalloc(c->n*sizeof(int)); |
---|
634 | cans[0]=to; |
---|
635 | int cans_length=1; |
---|
636 | connected[0]=from; |
---|
637 | int last_cans_pos=-1; |
---|
638 | int connected_length=1; |
---|
639 | long neg_bounds_short= ~p_GetShortExpVector(bound,c->r); |
---|
640 | |
---|
641 | int not_yet_found=cans_length; |
---|
642 | int con_checked=0; |
---|
643 | int pos; |
---|
644 | BOOLEAN can_find_more=TRUE; |
---|
645 | while(((not_yet_found>0) && (con_checked<connected_length))||can_find_more){ |
---|
646 | if ((con_checked<connected_length)&& (not_yet_found>0)){ |
---|
647 | pos=connected[con_checked]; |
---|
648 | for(int i=0;i<cans_length;i++){ |
---|
649 | if (cans[i]<0) continue; |
---|
650 | if (has_t_rep(pos,cans[i],c))//||(trivial_syzygie(pos,cans[i],bound,c)) |
---|
651 | { |
---|
652 | |
---|
653 | connected[connected_length]=cans[i]; |
---|
654 | connected_length++; |
---|
655 | cans[i]=-1; |
---|
656 | --not_yet_found; |
---|
657 | |
---|
658 | if (connected[connected_length-1]==to){ |
---|
659 | if (connected_length<c->n){ |
---|
660 | connected[connected_length]=-1; |
---|
661 | } |
---|
662 | omfree(cans); |
---|
663 | return connected; |
---|
664 | } |
---|
665 | } |
---|
666 | } |
---|
667 | con_checked++; |
---|
668 | } |
---|
669 | else |
---|
670 | { |
---|
671 | for(last_cans_pos++;last_cans_pos<=c->n;last_cans_pos++){ |
---|
672 | if (last_cans_pos==c->n){ |
---|
673 | if (connected_length<c->n){ |
---|
674 | connected[connected_length]=-1; |
---|
675 | } |
---|
676 | omfree(cans); |
---|
677 | return connected; |
---|
678 | } |
---|
679 | if ((last_cans_pos==from)||(last_cans_pos==to)) |
---|
680 | continue; |
---|
681 | if(p_LmShortDivisibleBy(I->m[last_cans_pos],c->short_Exps[last_cans_pos],bound,neg_bounds_short,c->r)){ |
---|
682 | cans[cans_length]=last_cans_pos; |
---|
683 | cans_length++; |
---|
684 | break; |
---|
685 | } |
---|
686 | } |
---|
687 | not_yet_found++; |
---|
688 | for (int i=0;i<con_checked;i++){ |
---|
689 | if (has_t_rep(connected[i],last_cans_pos,c)){ |
---|
690 | |
---|
691 | connected[connected_length]=last_cans_pos; |
---|
692 | connected_length++; |
---|
693 | cans[cans_length-1]=-1; |
---|
694 | |
---|
695 | --not_yet_found; |
---|
696 | if (connected[connected_length-1]==to){ |
---|
697 | if (connected_length<c->n){ |
---|
698 | connected[connected_length]=-1; |
---|
699 | } |
---|
700 | |
---|
701 | omfree(cans); |
---|
702 | return connected; |
---|
703 | } |
---|
704 | break; |
---|
705 | } |
---|
706 | } |
---|
707 | } |
---|
708 | } |
---|
709 | if (connected_length<c->n){ |
---|
710 | connected[connected_length]=-1; |
---|
711 | } |
---|
712 | |
---|
713 | omfree(cans); |
---|
714 | return connected; |
---|
715 | } |
---|
716 | #ifdef HEAD_BIN |
---|
717 | static inline poly p_MoveHead(poly p, omBin b) |
---|
718 | { |
---|
719 | poly np; |
---|
720 | omTypeAllocBin(poly, np, b); |
---|
721 | memmove(np, p, b->sizeW*sizeof(long)); |
---|
722 | omFreeBinAddr(p); |
---|
723 | return np; |
---|
724 | } |
---|
725 | #endif |
---|
726 | |
---|
727 | |
---|
728 | |
---|
729 | //len should be weighted length in char 0 |
---|
730 | static int simple_posInS (kStrategy strat, poly p,int len, BOOLEAN is_char0) |
---|
731 | { |
---|
732 | |
---|
733 | |
---|
734 | if(strat->sl==-1) return 0; |
---|
735 | polyset set=strat->S; |
---|
736 | intset setL=strat->lenS; |
---|
737 | if (is_char0) setL=strat->lenSw; |
---|
738 | int length=strat->sl; |
---|
739 | int i; |
---|
740 | int an = 0; |
---|
741 | int en= length; |
---|
742 | |
---|
743 | if ((len>setL[length]) |
---|
744 | || ((len==setL[length]) && (pLmCmp(set[length],p)== -1))) |
---|
745 | return length+1; |
---|
746 | |
---|
747 | loop |
---|
748 | { |
---|
749 | if (an >= en-1) |
---|
750 | { |
---|
751 | if ((len<setL[an]) |
---|
752 | || ((len==setL[an]) && (pLmCmp(set[an],p) == 1))) return an; |
---|
753 | return en; |
---|
754 | } |
---|
755 | i=(an+en) / 2; |
---|
756 | if ((len<setL[i]) |
---|
757 | || ((len==setL[i]) && (pLmCmp(set[i],p) == 1))) en=i; |
---|
758 | //else if ((len>setL[i]) |
---|
759 | //|| ((len==setL[i]) && (pLmCmp(set[i],p) == -1))) an=i; |
---|
760 | else an=i; |
---|
761 | } |
---|
762 | } |
---|
763 | /*2 |
---|
764 | *if the leading term of p |
---|
765 | *divides the leading term of some S[i] it will be canceled |
---|
766 | */ |
---|
767 | static inline void clearS (poly p, unsigned long p_sev,int l, int* at, int* k, |
---|
768 | kStrategy strat) |
---|
769 | { |
---|
770 | assume(p_sev == pGetShortExpVector(p)); |
---|
771 | if (!pLmShortDivisibleBy(p,p_sev, strat->S[*at], ~ strat->sevS[*at])) return; |
---|
772 | if (l>=strat->lenS[*at]) return; |
---|
773 | PrintS("!");mflush(); |
---|
774 | //pDelete(&strat->S[*at]); |
---|
775 | deleteInS((*at),strat); |
---|
776 | (*at)--; |
---|
777 | (*k)--; |
---|
778 | // assume(lenS_correct(strat)); |
---|
779 | } |
---|
780 | static sorted_pair_node** add_to_basis(poly h, int i_pos, int j_pos,calc_dat* c, int* ip) |
---|
781 | { |
---|
782 | |
---|
783 | assume(h!=NULL); |
---|
784 | // BOOLEAN corr=lenS_correct(c->strat); |
---|
785 | BOOLEAN R_found=FALSE; |
---|
786 | void* hp; |
---|
787 | |
---|
788 | ++(c->n); |
---|
789 | ++(c->S->ncols); |
---|
790 | int i,j; |
---|
791 | i=c->n-1; |
---|
792 | sorted_pair_node** nodes=(sorted_pair_node**) omalloc(sizeof(sorted_pair_node*)*i); |
---|
793 | int spc=0; |
---|
794 | c->T_deg=(int*) omrealloc(c->T_deg,c->n*sizeof(int)); |
---|
795 | c->T_deg[i]=pTotaldegree(h); |
---|
796 | hp=omrealloc(c->rep, c->n *sizeof(int)); |
---|
797 | if (hp!=NULL){ |
---|
798 | c->rep=(int*) hp; |
---|
799 | } else { |
---|
800 | exit(1); |
---|
801 | } |
---|
802 | c->short_Exps=(long *) omrealloc(c->short_Exps ,c->n*sizeof(long)); |
---|
803 | |
---|
804 | hp=omrealloc(c->lengths, c->n *sizeof(int)); |
---|
805 | if (hp!=NULL){ |
---|
806 | c->lengths=(int*) hp; |
---|
807 | } else { |
---|
808 | exit(1); |
---|
809 | } |
---|
810 | c->lengths[i]=pLength(h); |
---|
811 | hp=omrealloc(c->states, c->n * sizeof(char*)); |
---|
812 | |
---|
813 | c->states=(char**) hp; |
---|
814 | c->gcd_of_terms=(poly*) omrealloc(c->gcd_of_terms, c->n *sizeof(poly)); |
---|
815 | c->gcd_of_terms[i]=gcd_of_terms(h,c->r); |
---|
816 | c->rep[i]=i; |
---|
817 | hp=omalloc(i*sizeof(char)); |
---|
818 | if (hp!=NULL){ |
---|
819 | c->states[i]=(char*) hp; |
---|
820 | } else { |
---|
821 | exit(1); |
---|
822 | } |
---|
823 | hp=omrealloc(c->S->m,c->n*sizeof(poly)); |
---|
824 | if (hp!=NULL){ |
---|
825 | c->S->m=(poly*) hp; |
---|
826 | } else { |
---|
827 | exit(1); |
---|
828 | } |
---|
829 | c->S->m[i]=h; |
---|
830 | c->short_Exps[i]=p_GetShortExpVector(h,c->r); |
---|
831 | for (j=0;j<i;j++){ |
---|
832 | if (c->rep[j]==j){ |
---|
833 | //check product criterion |
---|
834 | |
---|
835 | c->states[i][j]=UNCALCULATED; |
---|
836 | |
---|
837 | //lies I[i] under I[j] ? |
---|
838 | if(p_LmShortDivisibleBy(c->S->m[i],c->short_Exps[i],c->S->m[j],~(c->short_Exps[j]),c->r)){ |
---|
839 | c->rep[j]=i; |
---|
840 | |
---|
841 | PrintS("R"); R_found=TRUE; |
---|
842 | |
---|
843 | c->Rcounter++; |
---|
844 | if((i_pos>=0) && (j_pos>=0)){ |
---|
845 | |
---|
846 | } |
---|
847 | for(int z=0;z<j;z++){ |
---|
848 | if(c->rep[z]!=z) continue; |
---|
849 | if (c->states[j][z]==UNCALCULATED){ |
---|
850 | c->states[j][z]=UNIMPORTANT; |
---|
851 | } |
---|
852 | } |
---|
853 | for(int z=j+1;z<i;z++){ |
---|
854 | if(c->rep[z]!=z) continue; |
---|
855 | if (c->states[z][j]==UNCALCULATED){ |
---|
856 | c->states[z][j]=UNIMPORTANT; |
---|
857 | } |
---|
858 | } |
---|
859 | } |
---|
860 | } |
---|
861 | else { |
---|
862 | c->states[i][j]=UNIMPORTANT; |
---|
863 | } |
---|
864 | if ((c->lengths[i]==1) && (c->lengths[j]==1)) |
---|
865 | c->states[i][j]=HASTREP; |
---|
866 | else if (pHasNotCF(c->S->m[i],c->S->m[j])){ |
---|
867 | c->easy_product_crit++; |
---|
868 | c->states[i][j]=HASTREP; |
---|
869 | } |
---|
870 | else if(extended_product_criterion(c->S->m[i],c->gcd_of_terms[i],c->S->m[j],c->gcd_of_terms[j],c)){ |
---|
871 | c->states[i][j]=HASTREP; |
---|
872 | c->extended_product_crit++; |
---|
873 | //PrintS("E"); |
---|
874 | } |
---|
875 | if (c->states[i][j]==UNCALCULATED){ |
---|
876 | |
---|
877 | |
---|
878 | // poly short_s=ksCreateShortSpoly(c->S->m[i],c->S->m[j],c->r); |
---|
879 | // if (short_s) |
---|
880 | // { |
---|
881 | sorted_pair_node* s=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
882 | s->i=max(i,j); |
---|
883 | s->j=min(i,j); |
---|
884 | s->expected_length=c->lengths[i]+c->lengths[j]-2; |
---|
885 | |
---|
886 | poly lm=pOne(); |
---|
887 | |
---|
888 | pLcm(c->S->m[i], c->S->m[j], lm); |
---|
889 | pSetm(lm); |
---|
890 | s->deg=pTotaldegree(lm); |
---|
891 | s->lcm_of_lm=lm; |
---|
892 | // pDelete(&short_s); |
---|
893 | //assume(lm!=NULL); |
---|
894 | nodes[spc]=s; |
---|
895 | spc++; |
---|
896 | // } |
---|
897 | //else |
---|
898 | //{ |
---|
899 | //c->states[i][j]=HASTREP; |
---|
900 | //} |
---|
901 | } |
---|
902 | } |
---|
903 | |
---|
904 | add_to_reductors(c, h, c->lengths[c->n-1]); |
---|
905 | //i=posInS(c->strat,c->strat->sl,h,0 /*ecart*/); |
---|
906 | |
---|
907 | if (c->lengths[c->n-1]==1) |
---|
908 | shorten_tails(c,c->S->m[c->n-1]); |
---|
909 | //you should really update c->lengths, c->strat->lenS, and the oder of polys in strat if you sort after lengths |
---|
910 | |
---|
911 | //for(i=c->strat->sl; i>0;i--) |
---|
912 | // if(c->strat->lenS[i]<c->strat->lenS[i-1]) printf("fehler bei %d\n",i); |
---|
913 | if (c->Rcounter>50) { |
---|
914 | c->Rcounter=0; |
---|
915 | cleanS(c->strat); |
---|
916 | } |
---|
917 | if(!ip){ |
---|
918 | qsort(nodes,spc,sizeof(sorted_pair_node*),pair_better_gen2); |
---|
919 | |
---|
920 | |
---|
921 | c->apairs=merge(c->apairs,c->pair_top+1,nodes,spc,c); |
---|
922 | c->pair_top+=spc; |
---|
923 | clean_top_of_pair_list(c); |
---|
924 | omfree(nodes); |
---|
925 | return NULL; |
---|
926 | } |
---|
927 | { |
---|
928 | *ip=spc; |
---|
929 | return nodes; |
---|
930 | } |
---|
931 | |
---|
932 | |
---|
933 | |
---|
934 | } |
---|
935 | #if 0 |
---|
936 | static poly redNF (poly h,kStrategy strat) |
---|
937 | { |
---|
938 | int j = 0; |
---|
939 | int z = 3; |
---|
940 | unsigned long not_sev; |
---|
941 | |
---|
942 | if (0 > strat->sl) |
---|
943 | { |
---|
944 | return h; |
---|
945 | } |
---|
946 | not_sev = ~ pGetShortExpVector(h); |
---|
947 | loop |
---|
948 | { |
---|
949 | if (pLmShortDivisibleBy(strat->S[j], strat->sevS[j], h, not_sev)) |
---|
950 | { |
---|
951 | //if (strat->interpt) test_int_std(strat->kIdeal); |
---|
952 | /*- compute the s-polynomial -*/ |
---|
953 | #ifdef KDEBUG |
---|
954 | if (TEST_OPT_DEBUG) |
---|
955 | { |
---|
956 | PrintS("red:"); |
---|
957 | wrp(h); |
---|
958 | PrintS(" with "); |
---|
959 | wrp(strat->S[j]); |
---|
960 | } |
---|
961 | #endif |
---|
962 | h = ksOldSpolyRed(strat->S[j],h,strat->kNoether); |
---|
963 | #ifdef KDEBUG |
---|
964 | if (TEST_OPT_DEBUG) |
---|
965 | { |
---|
966 | PrintS("\nto:"); |
---|
967 | wrp(h); |
---|
968 | PrintLn(); |
---|
969 | } |
---|
970 | #endif |
---|
971 | if (h == NULL) return NULL; |
---|
972 | z++; |
---|
973 | if (z>=10) |
---|
974 | { |
---|
975 | z=0; |
---|
976 | pNormalize(h); |
---|
977 | } |
---|
978 | /*- try to reduce the s-polynomial -*/ |
---|
979 | j = 0; |
---|
980 | not_sev = ~ pGetShortExpVector(h); |
---|
981 | } |
---|
982 | else |
---|
983 | { |
---|
984 | if (j >= strat->sl) return h; |
---|
985 | j++; |
---|
986 | } |
---|
987 | } |
---|
988 | } |
---|
989 | #else |
---|
990 | |
---|
991 | static poly redNF2 (poly h,calc_dat* c , int &len, number& m,int n) |
---|
992 | { |
---|
993 | m=nInit(1); |
---|
994 | if (h==NULL) return NULL; |
---|
995 | |
---|
996 | assume(len==pLength(h)); |
---|
997 | kStrategy strat=c->strat; |
---|
998 | if (0 > strat->sl) |
---|
999 | { |
---|
1000 | return h; |
---|
1001 | } |
---|
1002 | int j; |
---|
1003 | |
---|
1004 | LObject P(h); |
---|
1005 | P.SetShortExpVector(); |
---|
1006 | P.bucket = kBucketCreate(currRing); |
---|
1007 | // BOOLEAN corr=lenS_correct(strat); |
---|
1008 | kBucketInit(P.bucket,P.p,len /*pLength(P.p)*/); |
---|
1009 | //int max_pos=simple_posInS(strat,P.p); |
---|
1010 | loop |
---|
1011 | { |
---|
1012 | |
---|
1013 | j=kFindDivisibleByInS(strat->S,strat->sevS,strat->sl,&P); |
---|
1014 | if ((j>=0) && ((!n)||(strat->lenS[j]<=n))) |
---|
1015 | { |
---|
1016 | |
---|
1017 | |
---|
1018 | nNormalize(pGetCoeff(P.p)); |
---|
1019 | #ifdef KDEBUG |
---|
1020 | if (TEST_OPT_DEBUG) |
---|
1021 | { |
---|
1022 | PrintS("red:"); |
---|
1023 | wrp(h); |
---|
1024 | PrintS(" with "); |
---|
1025 | wrp(strat->S[j]); |
---|
1026 | } |
---|
1027 | #endif |
---|
1028 | |
---|
1029 | number coef=kBucketPolyRed(P.bucket,strat->S[j], |
---|
1030 | strat->lenS[j]/*pLength(strat->S[j])*/, |
---|
1031 | strat->kNoether); |
---|
1032 | number m2=nMult(m,coef); |
---|
1033 | nDelete(&m); |
---|
1034 | m=m2; |
---|
1035 | nDelete(&coef); |
---|
1036 | h = kBucketGetLm(P.bucket); |
---|
1037 | |
---|
1038 | if (h==NULL) { |
---|
1039 | len=0; |
---|
1040 | return |
---|
1041 | NULL;} |
---|
1042 | P.p=h; |
---|
1043 | P.t_p=NULL; |
---|
1044 | P.SetShortExpVector(); |
---|
1045 | #ifdef KDEBUG |
---|
1046 | if (TEST_OPT_DEBUG) |
---|
1047 | { |
---|
1048 | PrintS("\nto:"); |
---|
1049 | wrp(h); |
---|
1050 | PrintLn(); |
---|
1051 | } |
---|
1052 | #endif |
---|
1053 | } |
---|
1054 | else |
---|
1055 | { |
---|
1056 | kBucketClear(P.bucket,&(P.p),&len); |
---|
1057 | kBucketDestroy(&P.bucket); |
---|
1058 | pNormalize(P.p); |
---|
1059 | assume(len==(pLength(P.p))); |
---|
1060 | return P.p; |
---|
1061 | } |
---|
1062 | } |
---|
1063 | } |
---|
1064 | |
---|
1065 | |
---|
1066 | static poly redTailShort(poly h, kStrategy strat){ |
---|
1067 | |
---|
1068 | int sl=strat->sl; |
---|
1069 | int i; |
---|
1070 | int len=pLength(h); |
---|
1071 | for(i=0;i<=strat->sl;i++){ |
---|
1072 | if(strat->lenS[i]>2) |
---|
1073 | break; |
---|
1074 | } |
---|
1075 | return(redNFTail(h,i-1,strat, len)); |
---|
1076 | } |
---|
1077 | |
---|
1078 | static void line_of_extended_prod(int fixpos,calc_dat* c){ |
---|
1079 | if (c->gcd_of_terms[fixpos]==NULL) |
---|
1080 | { |
---|
1081 | c->gcd_of_terms[fixpos]=gcd_of_terms(c->S->m[fixpos],c->r); |
---|
1082 | if (c->gcd_of_terms[fixpos]) |
---|
1083 | { |
---|
1084 | int i; |
---|
1085 | for(i=0;i<fixpos;i++) |
---|
1086 | 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))) |
---|
1087 | { |
---|
1088 | c->states[fixpos][i]=HASTREP; |
---|
1089 | c->extended_product_crit++; |
---|
1090 | } |
---|
1091 | for(i=fixpos+1;i<c->n;i++) |
---|
1092 | 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))) |
---|
1093 | { c->states[i][fixpos]=HASTREP; |
---|
1094 | c->extended_product_crit++; |
---|
1095 | } |
---|
1096 | } |
---|
1097 | } |
---|
1098 | } |
---|
1099 | static void c_S_element_changed_hook(int pos, calc_dat* c){ |
---|
1100 | length_one_crit(c,pos, c->lengths[pos]); |
---|
1101 | line_of_extended_prod(pos,c); |
---|
1102 | } |
---|
1103 | class poly_tree_node { |
---|
1104 | public: |
---|
1105 | poly p; |
---|
1106 | poly_tree_node* l; |
---|
1107 | poly_tree_node* r; |
---|
1108 | int n; |
---|
1109 | poly_tree_node(int sn):l(NULL),r(NULL),n(sn){} |
---|
1110 | }; |
---|
1111 | class exp_number_builder{ |
---|
1112 | public: |
---|
1113 | poly_tree_node* top_level; |
---|
1114 | int n; |
---|
1115 | int get_n(poly p); |
---|
1116 | exp_number_builder():top_level(0),n(0){} |
---|
1117 | }; |
---|
1118 | int exp_number_builder::get_n(poly p){ |
---|
1119 | poly_tree_node** node=&top_level; |
---|
1120 | while(*node!=NULL){ |
---|
1121 | int c=pLmCmp(p,(*node)->p); |
---|
1122 | if (c==0) return (*node)->n; |
---|
1123 | if (c==-1) node=&((*node)->r); |
---|
1124 | else |
---|
1125 | node=&((*node)->l); |
---|
1126 | } |
---|
1127 | (*node)= new poly_tree_node(n); |
---|
1128 | n++; |
---|
1129 | (*node)->p=pLmInit(p); |
---|
1130 | return (*node)->n; |
---|
1131 | } |
---|
1132 | class mac_poly_r{ |
---|
1133 | public: |
---|
1134 | number coef; |
---|
1135 | mac_poly_r* next; |
---|
1136 | int exp; |
---|
1137 | mac_poly_r():next(NULL){} |
---|
1138 | }; |
---|
1139 | //mac_polys exp are smaller iff they are greater by monomial ordering |
---|
1140 | //corresponding to solving linear equations notation |
---|
1141 | struct int_poly_pair{ |
---|
1142 | poly p; |
---|
1143 | int n; |
---|
1144 | }; |
---|
1145 | typedef mac_poly_r* mac_poly; |
---|
1146 | void t2ippa_rec(poly* ip,int* ia, poly_tree_node* k, int &offset){ |
---|
1147 | if(!k) return; |
---|
1148 | t2ippa_rec(ip,ia,k->l,offset); |
---|
1149 | ip[offset]=k->p; |
---|
1150 | ia[k->n]=offset; |
---|
1151 | ++offset; |
---|
1152 | |
---|
1153 | t2ippa_rec(ip,ia,k->r,offset); |
---|
1154 | delete k; |
---|
1155 | } |
---|
1156 | void t2ippa(poly* ip,int* ia,exp_number_builder & e){ |
---|
1157 | |
---|
1158 | int o=0; |
---|
1159 | t2ippa_rec(ip,ia,e.top_level,o); |
---|
1160 | } |
---|
1161 | int anti_poly_order(const void* a, const void* b){ |
---|
1162 | return -pLmCmp(((int_poly_pair*) a)->p,((int_poly_pair*) b)->p ); |
---|
1163 | } |
---|
1164 | mac_poly mac_p_add_ff_qq(mac_poly a, number f,mac_poly b){ |
---|
1165 | mac_poly erg; |
---|
1166 | mac_poly* set_this; |
---|
1167 | set_this=&erg; |
---|
1168 | while((a!=NULL) &&(b!=NULL)){ |
---|
1169 | if (a->exp<b->exp){ |
---|
1170 | (*set_this)=a; |
---|
1171 | a=a->next; |
---|
1172 | set_this= &((*set_this)->next); |
---|
1173 | } |
---|
1174 | else{ |
---|
1175 | if (a->exp>b->exp){ |
---|
1176 | mac_poly in =new mac_poly_r(); |
---|
1177 | in->exp=b->exp; |
---|
1178 | in->coef=nMult(b->coef,f); |
---|
1179 | (*set_this)=in; |
---|
1180 | b=b->next; |
---|
1181 | set_this= &((*set_this)->next); |
---|
1182 | } |
---|
1183 | else { |
---|
1184 | //a->exp==b->ecp |
---|
1185 | number n=nMult(b->coef,f); |
---|
1186 | number n2=nAdd(a->coef,n); |
---|
1187 | nDelete(&n); |
---|
1188 | nDelete(&(a->coef)); |
---|
1189 | if (nIsZero(n2)){ |
---|
1190 | nDelete(&n2); |
---|
1191 | mac_poly ao=a; |
---|
1192 | a=a->next; |
---|
1193 | delete ao; |
---|
1194 | b=b->next; |
---|
1195 | |
---|
1196 | } else { |
---|
1197 | a->coef=n2; |
---|
1198 | b=b->next; |
---|
1199 | (*set_this)=a; |
---|
1200 | a=a->next; |
---|
1201 | set_this= &((*set_this)->next); |
---|
1202 | } |
---|
1203 | |
---|
1204 | } |
---|
1205 | |
---|
1206 | } |
---|
1207 | } |
---|
1208 | if((a==NULL)&&(b==NULL)){ |
---|
1209 | (*set_this)=NULL; |
---|
1210 | return erg; |
---|
1211 | } |
---|
1212 | if (b==NULL) { |
---|
1213 | (*set_this=a); |
---|
1214 | return erg; |
---|
1215 | } |
---|
1216 | |
---|
1217 | //a==NULL |
---|
1218 | while(b!=NULL){ |
---|
1219 | mac_poly mp= new mac_poly_r(); |
---|
1220 | mp->exp=b->exp; |
---|
1221 | mp->coef=nMult(f,b->coef); |
---|
1222 | (*set_this)=mp; |
---|
1223 | set_this=&(mp->next); |
---|
1224 | b=b->next; |
---|
1225 | } |
---|
1226 | (*set_this)=NULL; |
---|
1227 | return erg; |
---|
1228 | |
---|
1229 | } |
---|
1230 | void mac_mult_cons(mac_poly p,number c){ |
---|
1231 | while(p){ |
---|
1232 | number m=nMult(p->coef,c); |
---|
1233 | nDelete(&(p->coef)); |
---|
1234 | p->coef=m; |
---|
1235 | p=p->next; |
---|
1236 | } |
---|
1237 | |
---|
1238 | } |
---|
1239 | int mac_length(mac_poly p){ |
---|
1240 | int l=0; |
---|
1241 | while(p){ |
---|
1242 | l++; |
---|
1243 | p=p->next; |
---|
1244 | } |
---|
1245 | return l; |
---|
1246 | } |
---|
1247 | BOOLEAN is_valid_ro(red_object & ro){ |
---|
1248 | red_object r2=ro; |
---|
1249 | ro.validate(); |
---|
1250 | if ((r2.p!=ro.p)||(r2.sev!=ro.sev)||(r2.sum!=ro.sum)) return FALSE; |
---|
1251 | return TRUE; |
---|
1252 | } |
---|
1253 | void pre_comp(poly* p,int & pn,calc_dat* c){ |
---|
1254 | if(!(pn)) |
---|
1255 | return; |
---|
1256 | mac_poly* q=(mac_poly*) omalloc(pn*sizeof(mac_poly)); |
---|
1257 | int i; |
---|
1258 | exp_number_builder e; |
---|
1259 | for(i=0;i<pn;i++){ |
---|
1260 | assume(p[i]!=NULL); |
---|
1261 | q[i]=new mac_poly_r(); |
---|
1262 | q[i]->exp=e.get_n(p[i]); |
---|
1263 | q[i]->coef=nCopy(p[i]->coef); |
---|
1264 | |
---|
1265 | mac_poly qa=q[i]; |
---|
1266 | poly pa=p[i]; |
---|
1267 | while(pa->next!=NULL){ |
---|
1268 | qa->next = new mac_poly_r(); |
---|
1269 | qa=qa->next; |
---|
1270 | pa=pa->next, |
---|
1271 | qa->exp=e.get_n(pa); |
---|
1272 | qa->coef=nCopy(pa->coef); |
---|
1273 | |
---|
1274 | |
---|
1275 | } |
---|
1276 | qa->next=NULL; |
---|
1277 | pDelete(&p[i]); |
---|
1278 | } |
---|
1279 | poly* ip= (poly*)omalloc (e.n*sizeof(poly)); |
---|
1280 | int* ia=(int*) omalloc (e.n*sizeof(int)); |
---|
1281 | t2ippa(ip,ia,e); |
---|
1282 | for(i=0;i<pn;i++){ |
---|
1283 | mac_poly mp=q[i]; |
---|
1284 | while(mp!=NULL){ |
---|
1285 | mp->exp=ia[mp->exp]; |
---|
1286 | mp=mp->next; |
---|
1287 | } |
---|
1288 | |
---|
1289 | } |
---|
1290 | //gaus reduction start |
---|
1291 | int col, row; |
---|
1292 | col=0; |
---|
1293 | row=0; |
---|
1294 | assume(pn>0); |
---|
1295 | while(row<pn-1){ |
---|
1296 | //row is the row where pivot should be |
---|
1297 | // row== pn-1 means we have only to act on one row so no red nec. |
---|
1298 | //we assume further all rows till the pn-1 row are non-zero |
---|
1299 | |
---|
1300 | //select column |
---|
1301 | int i; |
---|
1302 | col=q[row]->exp; |
---|
1303 | int found_in_row=row; |
---|
1304 | for(i=row;i<pn;i++){ |
---|
1305 | if(q[i]->exp<col){ |
---|
1306 | col=q[i]->exp; |
---|
1307 | found_in_row=i; |
---|
1308 | } |
---|
1309 | |
---|
1310 | } |
---|
1311 | //select pivot |
---|
1312 | int act_l=mac_length(q[found_in_row]); |
---|
1313 | for(i=row+1;i<pn;i++){ |
---|
1314 | if((q[i]->exp==col)&&(mac_length(q[i])<act_l)){ |
---|
1315 | found_in_row=i; |
---|
1316 | act_l=mac_length(q[i]);//should be optimized here |
---|
1317 | } |
---|
1318 | } |
---|
1319 | mac_poly h=q[row]; |
---|
1320 | q[row]=q[found_in_row]; |
---|
1321 | q[found_in_row]=h; |
---|
1322 | |
---|
1323 | //reduction |
---|
1324 | for(i=row+1;i<pn;i++){ |
---|
1325 | if(q[i]->exp==q[row]->exp){ |
---|
1326 | |
---|
1327 | number c1=nNeg(q[i]->coef); |
---|
1328 | number c2=q[row]->coef; |
---|
1329 | //use checkcoeff later |
---|
1330 | mac_mult_cons(q[i],c2); |
---|
1331 | q[i]=mac_p_add_ff_qq(q[i],c1,q[row]); |
---|
1332 | } |
---|
1333 | |
---|
1334 | |
---|
1335 | |
---|
1336 | } |
---|
1337 | for(i=row+1;i<pn;i++){ |
---|
1338 | if(q[i]==NULL){ |
---|
1339 | q[i]=q[pn-1]; |
---|
1340 | pn--; |
---|
1341 | if(i!=pn){i--;} |
---|
1342 | } |
---|
1343 | } |
---|
1344 | |
---|
1345 | |
---|
1346 | |
---|
1347 | |
---|
1348 | |
---|
1349 | |
---|
1350 | |
---|
1351 | |
---|
1352 | row++; |
---|
1353 | } |
---|
1354 | |
---|
1355 | |
---|
1356 | //gaus reduction end |
---|
1357 | |
---|
1358 | |
---|
1359 | |
---|
1360 | |
---|
1361 | |
---|
1362 | for(i=0;i<pn;i++){ |
---|
1363 | poly pa; |
---|
1364 | mac_poly qa; |
---|
1365 | p[i]=pLmInit(ip[q[i]->exp]); |
---|
1366 | pSetCoeff(p[i],q[i]->coef); |
---|
1367 | pa=p[i]; |
---|
1368 | qa=q[i]; |
---|
1369 | while(qa->next!=NULL){ |
---|
1370 | qa=qa->next; |
---|
1371 | pa->next=pLmInit(ip[qa->exp]); |
---|
1372 | pa=pa->next; |
---|
1373 | pa->coef=qa->coef; |
---|
1374 | } |
---|
1375 | pa->next=NULL; |
---|
1376 | } |
---|
1377 | for(i=0;i<e.n;i++){ |
---|
1378 | pDelete(&ip[i]); |
---|
1379 | } |
---|
1380 | omfree(ip); |
---|
1381 | omfree(ia); |
---|
1382 | } |
---|
1383 | |
---|
1384 | static void go_on (calc_dat* c){ |
---|
1385 | //set limit of 1000 for multireductions, at the moment for |
---|
1386 | //programming reasons |
---|
1387 | int i=0; |
---|
1388 | c->average_length=0; |
---|
1389 | for(i=0;i<c->n;i++){ |
---|
1390 | c->average_length+=c->lengths[i]; |
---|
1391 | } |
---|
1392 | c->average_length=c->average_length/c->n; |
---|
1393 | i=0; |
---|
1394 | poly* p=(poly*) omalloc((PAR_N+1)*sizeof(poly));//nullterminated |
---|
1395 | |
---|
1396 | int curr_deg=-1; |
---|
1397 | while(i<PAR_N){ |
---|
1398 | sorted_pair_node* s=top_pair(c); |
---|
1399 | if (!s) break; |
---|
1400 | if(curr_deg>=0){ |
---|
1401 | if (s->deg >curr_deg) break; |
---|
1402 | } |
---|
1403 | |
---|
1404 | else curr_deg=s->deg; |
---|
1405 | quick_pop_pair(c); |
---|
1406 | if(s->i>=0){ |
---|
1407 | //replace_pair(s->i,s->j,c); |
---|
1408 | if(s->i==s->j) { |
---|
1409 | free_sorted_pair_node(s,c->r); |
---|
1410 | continue; |
---|
1411 | } |
---|
1412 | } |
---|
1413 | poly h; |
---|
1414 | if(s->i>=0) |
---|
1415 | h=ksOldCreateSpoly(c->S->m[s->i], c->S->m[s->j], NULL, c->r); |
---|
1416 | else |
---|
1417 | h=s->lcm_of_lm; |
---|
1418 | if(s->i>=0) |
---|
1419 | now_t_rep(s->j,s->i,c); |
---|
1420 | number coef; |
---|
1421 | int mlen=pLength(h); |
---|
1422 | h=redNF2(h,c,mlen,coef,2); |
---|
1423 | redTailShort(h,c->strat); |
---|
1424 | nDelete(&coef); |
---|
1425 | |
---|
1426 | free_sorted_pair_node(s,c->r); |
---|
1427 | if(!h) continue; |
---|
1428 | int len=pLength(h); |
---|
1429 | p[i]=h; |
---|
1430 | |
---|
1431 | i++; |
---|
1432 | } |
---|
1433 | p[i]=NULL; |
---|
1434 | // pre_comp(p,i,c); |
---|
1435 | if(i==0){ |
---|
1436 | omfree(p); |
---|
1437 | return; |
---|
1438 | } |
---|
1439 | red_object* buf=(red_object*) omalloc(i*sizeof(red_object)); |
---|
1440 | c->normal_forms+=i; |
---|
1441 | int j; |
---|
1442 | for(j=0;j<i;j++){ |
---|
1443 | buf[j].p=p[j]; |
---|
1444 | buf[j].sev=pGetShortExpVector(p[j]); |
---|
1445 | buf[j].sum=NULL; |
---|
1446 | buf[j].bucket = kBucketCreate(currRing); |
---|
1447 | int len=pLength(p[j]); |
---|
1448 | kBucketInit(buf[j].bucket,buf[j].p,len); |
---|
1449 | } |
---|
1450 | omfree(p); |
---|
1451 | qsort(buf,i,sizeof(red_object),red_object_better_gen); |
---|
1452 | // Print("\ncurr_deg:%i\n",curr_deg); |
---|
1453 | Print("M[%i, ",i); |
---|
1454 | multi_reduction(buf, i, c); |
---|
1455 | Print("%i]",i); |
---|
1456 | // for(j=0;j<i;j++){ |
---|
1457 | // if(buf[j].p==NULL) PrintS("\n ZERO ALERT \n"); |
---|
1458 | // int z; |
---|
1459 | // for(z=0;z<j;z++){ |
---|
1460 | // if (pLmEqual(buf[z].p, buf[j].p)) |
---|
1461 | // PrintS("\n Critical Warning!!!! \n"); |
---|
1462 | |
---|
1463 | // } |
---|
1464 | // } |
---|
1465 | int* ibuf=(int*) omalloc(i*sizeof(int)); |
---|
1466 | sorted_pair_node*** sbuf=(sorted_pair_node***) omalloc(i*sizeof(sorted_pair_node**)); |
---|
1467 | for(j=0;j<i;j++){ |
---|
1468 | |
---|
1469 | |
---|
1470 | int len; |
---|
1471 | poly p; |
---|
1472 | buf[j].flatten(); |
---|
1473 | kBucketClear(buf[j].bucket,&p, &len); |
---|
1474 | kBucketDestroy(&buf[j].bucket); |
---|
1475 | // delete buf[j]; |
---|
1476 | //remember to free res here |
---|
1477 | p=redTailShort(p, c->strat); |
---|
1478 | sbuf[j]=add_to_basis(p,-1,-1,c,ibuf+j); |
---|
1479 | |
---|
1480 | } |
---|
1481 | int sum=0; |
---|
1482 | for(j=0;j<i;j++){ |
---|
1483 | sum+=ibuf[j]; |
---|
1484 | } |
---|
1485 | sorted_pair_node** big_sbuf=(sorted_pair_node**) omalloc(sum*sizeof(sorted_pair_node*)); |
---|
1486 | int partsum=0; |
---|
1487 | for(j=0;j<i;j++){ |
---|
1488 | memmove(big_sbuf+partsum, sbuf[j],ibuf[j]*sizeof(sorted_pair_node*)); |
---|
1489 | omfree(sbuf[j]); |
---|
1490 | partsum+=ibuf[j]; |
---|
1491 | } |
---|
1492 | |
---|
1493 | qsort(big_sbuf,sum,sizeof(sorted_pair_node*),pair_better_gen2); |
---|
1494 | c->apairs=merge(c->apairs,c->pair_top+1,big_sbuf,sum,c); |
---|
1495 | c->pair_top+=sum; |
---|
1496 | clean_top_of_pair_list(c); |
---|
1497 | omfree(big_sbuf); |
---|
1498 | omfree(sbuf); |
---|
1499 | omfree(ibuf); |
---|
1500 | omfree(buf); |
---|
1501 | return; |
---|
1502 | } |
---|
1503 | |
---|
1504 | static poly redNF (poly h,kStrategy strat, int &len) |
---|
1505 | { |
---|
1506 | len=0; |
---|
1507 | if (h==NULL) return NULL; |
---|
1508 | int j; |
---|
1509 | |
---|
1510 | len=pLength(h); |
---|
1511 | if (0 > strat->sl) |
---|
1512 | { |
---|
1513 | return h; |
---|
1514 | } |
---|
1515 | LObject P(h); |
---|
1516 | P.SetShortExpVector(); |
---|
1517 | P.bucket = kBucketCreate(currRing); |
---|
1518 | kBucketInit(P.bucket,P.p,len /*pLength(P.p)*/); |
---|
1519 | //int max_pos=simple_posInS(strat,P.p); |
---|
1520 | loop |
---|
1521 | { |
---|
1522 | j=kFindDivisibleByInS(strat->S,strat->sevS,strat->sl,&P); |
---|
1523 | if (j>=0) |
---|
1524 | { |
---|
1525 | nNormalize(pGetCoeff(P.p)); |
---|
1526 | #ifdef KDEBUG |
---|
1527 | if (TEST_OPT_DEBUG) |
---|
1528 | { |
---|
1529 | PrintS("red:"); |
---|
1530 | wrp(h); |
---|
1531 | PrintS(" with "); |
---|
1532 | wrp(strat->S[j]); |
---|
1533 | } |
---|
1534 | #endif |
---|
1535 | number coef=kBucketPolyRed(P.bucket,strat->S[j], |
---|
1536 | strat->lenS[j]/*pLength(strat->S[j])*/, |
---|
1537 | strat->kNoether); |
---|
1538 | nDelete(&coef); |
---|
1539 | h = kBucketGetLm(P.bucket); |
---|
1540 | if (h==NULL) return NULL; |
---|
1541 | P.p=h; |
---|
1542 | P.t_p=NULL; |
---|
1543 | P.SetShortExpVector(); |
---|
1544 | #ifdef KDEBUG |
---|
1545 | if (TEST_OPT_DEBUG) |
---|
1546 | { |
---|
1547 | PrintS("\nto:"); |
---|
1548 | wrp(h); |
---|
1549 | PrintLn(); |
---|
1550 | } |
---|
1551 | #endif |
---|
1552 | } |
---|
1553 | else |
---|
1554 | { |
---|
1555 | kBucketClear(P.bucket,&(P.p),&len); |
---|
1556 | kBucketDestroy(&P.bucket); |
---|
1557 | pNormalize(P.p); |
---|
1558 | return P.p; |
---|
1559 | } |
---|
1560 | } |
---|
1561 | } |
---|
1562 | #endif |
---|
1563 | #ifdef REDTAIL_S |
---|
1564 | |
---|
1565 | static poly redNFTail (poly h,const int sl,kStrategy strat, int len) |
---|
1566 | { |
---|
1567 | if (h==NULL) return NULL; |
---|
1568 | pTest(h); |
---|
1569 | if (0 > sl) |
---|
1570 | return h; |
---|
1571 | if (pNext(h)==NULL) return h; |
---|
1572 | |
---|
1573 | int j; |
---|
1574 | poly res=h; |
---|
1575 | poly act=res; |
---|
1576 | LObject P(pNext(h)); |
---|
1577 | pNext(res)=NULL; |
---|
1578 | P.bucket = kBucketCreate(currRing); |
---|
1579 | len--; |
---|
1580 | h=P.p; |
---|
1581 | if (len <=0) len=pLength(h); |
---|
1582 | kBucketInit(P.bucket,h /*P.p*/,len /*pLength(P.p)*/); |
---|
1583 | pTest(h); |
---|
1584 | loop |
---|
1585 | { |
---|
1586 | P.p=h; |
---|
1587 | P.t_p=NULL; |
---|
1588 | P.SetShortExpVector(); |
---|
1589 | loop |
---|
1590 | { |
---|
1591 | j=kFindDivisibleByInS(strat->S,strat->sevS,sl,&P); |
---|
1592 | if (j>=0) |
---|
1593 | { |
---|
1594 | #ifdef REDTAIL_PROT |
---|
1595 | PrintS("r"); |
---|
1596 | #endif |
---|
1597 | nNormalize(pGetCoeff(P.p)); |
---|
1598 | #ifdef KDEBUG |
---|
1599 | if (TEST_OPT_DEBUG) |
---|
1600 | { |
---|
1601 | PrintS("red tail:"); |
---|
1602 | wrp(h); |
---|
1603 | PrintS(" with "); |
---|
1604 | wrp(strat->S[j]); |
---|
1605 | } |
---|
1606 | #endif |
---|
1607 | number coef; |
---|
1608 | pTest(strat->S[j]); |
---|
1609 | coef=kBucketPolyRed(P.bucket,strat->S[j], |
---|
1610 | strat->lenS[j]/*pLength(strat->S[j])*/,strat->kNoether); |
---|
1611 | pMult_nn(res,coef); |
---|
1612 | nDelete(&coef); |
---|
1613 | h = kBucketGetLm(P.bucket); |
---|
1614 | pTest(h); |
---|
1615 | if (h==NULL) |
---|
1616 | { |
---|
1617 | #ifdef REDTAIL_PROT |
---|
1618 | PrintS(" "); |
---|
1619 | #endif |
---|
1620 | return res; |
---|
1621 | } |
---|
1622 | pTest(h); |
---|
1623 | P.p=h; |
---|
1624 | P.t_p=NULL; |
---|
1625 | P.SetShortExpVector(); |
---|
1626 | #ifdef KDEBUG |
---|
1627 | if (TEST_OPT_DEBUG) |
---|
1628 | { |
---|
1629 | PrintS("\nto tail:"); |
---|
1630 | wrp(h); |
---|
1631 | PrintLn(); |
---|
1632 | } |
---|
1633 | #endif |
---|
1634 | } |
---|
1635 | else |
---|
1636 | { |
---|
1637 | #ifdef REDTAIL_PROT |
---|
1638 | PrintS("n"); |
---|
1639 | #endif |
---|
1640 | break; |
---|
1641 | } |
---|
1642 | } /* end loop current mon */ |
---|
1643 | poly tmp=pHead(h /*kBucketGetLm(P.bucket)*/); |
---|
1644 | act->next=tmp;pIter(act); |
---|
1645 | poly tmp2=pHead(h); |
---|
1646 | pNeg(tmp2); |
---|
1647 | int ltmp2=1; |
---|
1648 | pTest(tmp2); |
---|
1649 | kBucket_Add_q(P.bucket, tmp2, <mp2); |
---|
1650 | |
---|
1651 | h = kBucketGetLm(P.bucket); |
---|
1652 | if (h==NULL) |
---|
1653 | { |
---|
1654 | #ifdef REDTAIL_PROT |
---|
1655 | PrintS(" "); |
---|
1656 | #endif |
---|
1657 | return res; |
---|
1658 | } |
---|
1659 | pTest(h); |
---|
1660 | } |
---|
1661 | } |
---|
1662 | #endif |
---|
1663 | |
---|
1664 | static void do_this_spoly_stuff(int i,int j,calc_dat* c){ |
---|
1665 | poly f=c->S->m[i]; |
---|
1666 | poly g=c->S->m[j]; |
---|
1667 | poly h=ksOldCreateSpoly(f, g, NULL, c->r); |
---|
1668 | poly hr=NULL; |
---|
1669 | #ifdef FULLREDUCTIONS |
---|
1670 | if (h!=NULL) |
---|
1671 | { |
---|
1672 | int len; |
---|
1673 | |
---|
1674 | // hr=redNF2(h,c,len); |
---|
1675 | // hr=redNF(h,c->strat,len); |
---|
1676 | |
---|
1677 | if (hr!=NULL) |
---|
1678 | #ifdef REDTAIL_S |
---|
1679 | hr = redNFTail(hr,c->strat->sl,c->strat,len); |
---|
1680 | #else |
---|
1681 | hr = redtailBba(hr,c->strat->sl,c->strat); |
---|
1682 | #endif |
---|
1683 | |
---|
1684 | } |
---|
1685 | #else |
---|
1686 | if (h!=NULL) |
---|
1687 | { |
---|
1688 | int len; |
---|
1689 | // hr=redNF2(h,c,len); |
---|
1690 | } |
---|
1691 | #endif |
---|
1692 | c->normal_forms++; |
---|
1693 | if (hr==NULL) |
---|
1694 | { |
---|
1695 | notice_miss(i, j, c); |
---|
1696 | |
---|
1697 | } |
---|
1698 | else |
---|
1699 | { |
---|
1700 | |
---|
1701 | #ifdef HEAD_BIN |
---|
1702 | hr=p_MoveHead(hr,c->HeadBin); |
---|
1703 | #endif |
---|
1704 | add_to_basis(hr, i,j,c); |
---|
1705 | } |
---|
1706 | } |
---|
1707 | //try to fill, return FALSE iff queue is empty |
---|
1708 | |
---|
1709 | static int poly_crit(const void* ap1, const void* ap2){ |
---|
1710 | poly p1,p2; |
---|
1711 | p1=*((poly*) ap1); |
---|
1712 | p2=*((poly*)ap2); |
---|
1713 | |
---|
1714 | int c=pLmCmp(p1,p2); |
---|
1715 | if (c !=0) return c; |
---|
1716 | int l1=pLength(p1); |
---|
1717 | int l2=pLength(p2); |
---|
1718 | if (l1<l2) return -1; |
---|
1719 | if (l1>l2) return 1; |
---|
1720 | return 0; |
---|
1721 | } |
---|
1722 | ideal t_rep_gb(ring r,ideal arg_I, ideal arg_debug_Ideal){ |
---|
1723 | debug_Ideal=arg_debug_Ideal; |
---|
1724 | if (debug_Ideal) PrintS("DebugIdeal received\n"); |
---|
1725 | Print("Idelems %i \n----------\n",IDELEMS(arg_I)); |
---|
1726 | ideal I=idCompactify(arg_I); |
---|
1727 | qsort(I->m,IDELEMS(I),sizeof(poly),poly_crit); |
---|
1728 | Print("Idelems %i \n----------\n",IDELEMS(I)); |
---|
1729 | calc_dat* c=(calc_dat*) omalloc(sizeof(calc_dat)); |
---|
1730 | c->r=currRing; |
---|
1731 | void* h; |
---|
1732 | poly hp; |
---|
1733 | int i,j; |
---|
1734 | c->easy_product_crit=0; |
---|
1735 | c->extended_product_crit=0; |
---|
1736 | c->is_char0=(rChar()==0); |
---|
1737 | c->reduction_steps=0; |
---|
1738 | c->last_index=-1; |
---|
1739 | |
---|
1740 | |
---|
1741 | |
---|
1742 | c->Rcounter=0; |
---|
1743 | |
---|
1744 | c->soon_free=NULL; |
---|
1745 | |
---|
1746 | |
---|
1747 | c->normal_forms=0; |
---|
1748 | c->current_degree=1; |
---|
1749 | |
---|
1750 | c->max_pairs=5*I->idelems(); |
---|
1751 | |
---|
1752 | c->apairs=(sorted_pair_node**) omalloc(sizeof(sorted_pair_node*)*c->max_pairs); |
---|
1753 | c->pair_top=-1; |
---|
1754 | int n=I->idelems(); |
---|
1755 | for (i=0;i<n;i++){ |
---|
1756 | wrp(I->m[i]); |
---|
1757 | PrintS("\n"); |
---|
1758 | } |
---|
1759 | i=0; |
---|
1760 | c->n=0; |
---|
1761 | c->T_deg=(int*) omalloc(n*sizeof(int)); |
---|
1762 | |
---|
1763 | #ifdef HEAD_BIN |
---|
1764 | c->HeadBin=omGetSpecBin(POLYSIZE + (currRing->ExpL_Size)*sizeof(long)); |
---|
1765 | #endif |
---|
1766 | /* omUnGetSpecBin(&(c->HeadBin)); */ |
---|
1767 | h=omalloc(n*sizeof(char*)); |
---|
1768 | c->states=(char**) h; |
---|
1769 | h=omalloc(n*sizeof(int)); |
---|
1770 | c->lengths=(int*) h; |
---|
1771 | h=omalloc(n*sizeof(int)); |
---|
1772 | c->gcd_of_terms=(poly*) omalloc(n*sizeof(poly)); |
---|
1773 | c->rep=(int*) h; |
---|
1774 | c->short_Exps=(long*) omalloc(n*sizeof(long)); |
---|
1775 | c->S=idInit(n,1); |
---|
1776 | c->strat=new skStrategy; |
---|
1777 | c->strat->syzComp = 0; |
---|
1778 | initBuchMoraCrit(c->strat); |
---|
1779 | initBuchMoraPos(c->strat); |
---|
1780 | c->strat->initEcart = initEcartBBA; |
---|
1781 | c->strat->enterS = enterSBba; |
---|
1782 | c->strat->sl = -1; |
---|
1783 | i=n; |
---|
1784 | /* initS(c->S,NULL,c->strat); */ |
---|
1785 | /* intS start: */ |
---|
1786 | i=((i+IDELEMS(c->S)+15)/16)*16; |
---|
1787 | c->strat->ecartS=(intset)omAlloc(i*sizeof(int)); /*initec(i);*/ |
---|
1788 | c->strat->sevS=(unsigned long*)omAlloc0(i*sizeof(unsigned long)); |
---|
1789 | /*initsevS(i);*/ |
---|
1790 | c->strat->S_2_R=(int*)omAlloc0(i*sizeof(int));/*initS_2_R(i);*/ |
---|
1791 | c->strat->fromQ=NULL; |
---|
1792 | c->strat->Shdl=idInit(1,1); |
---|
1793 | c->strat->S=c->strat->Shdl->m; |
---|
1794 | c->strat->lenS=(int*)omAlloc0(i*sizeof(int)); |
---|
1795 | if(c->is_char0) |
---|
1796 | c->strat->lenSw=(int*)omAlloc0(i*sizeof(int)); |
---|
1797 | else |
---|
1798 | c->strat->lenSw=NULL; |
---|
1799 | sorted_pair_node* si; |
---|
1800 | assume(n>0); |
---|
1801 | add_to_basis(I->m[0],-1,-1,c); |
---|
1802 | |
---|
1803 | assume(c->strat->sl==c->strat->Shdl->idelems()-1); |
---|
1804 | |
---|
1805 | for (i=1;i<n;i++)//the 1 is wanted, because first element is added to basis |
---|
1806 | { |
---|
1807 | // add_to_basis(I->m[i],-1,-1,c); |
---|
1808 | si=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
1809 | si->i=-1; |
---|
1810 | si->j=-1; |
---|
1811 | si->expected_length=pLength(I->m[i]); |
---|
1812 | si->deg=pTotaldegree(I->m[i]); |
---|
1813 | si->lcm_of_lm=I->m[i]; |
---|
1814 | |
---|
1815 | // c->apairs[n-1-i]=si; |
---|
1816 | c->apairs[n-i-1]=si; |
---|
1817 | ++(c->pair_top); |
---|
1818 | } |
---|
1819 | |
---|
1820 | |
---|
1821 | while(c->pair_top>=0) |
---|
1822 | go_on(c); |
---|
1823 | |
---|
1824 | for(int z=0;z<c->n;z++){ |
---|
1825 | omfree(c->states[z]); |
---|
1826 | } |
---|
1827 | omfree(c->states); |
---|
1828 | omfree(c->lengths); |
---|
1829 | |
---|
1830 | |
---|
1831 | omfree(c->short_Exps); |
---|
1832 | omfree(c->T_deg); |
---|
1833 | |
---|
1834 | omFree(c->strat->ecartS); |
---|
1835 | omFree(c->strat->sevS); |
---|
1836 | // /*initsevS(i);*/ |
---|
1837 | omFree(c->strat->S_2_R); |
---|
1838 | |
---|
1839 | |
---|
1840 | omFree(c->strat->lenS); |
---|
1841 | |
---|
1842 | if(c->strat->lenSw) omFree(c->strat->lenSw); |
---|
1843 | |
---|
1844 | |
---|
1845 | |
---|
1846 | |
---|
1847 | for(i=0;i<c->n;i++){ |
---|
1848 | if(c->gcd_of_terms[i]) |
---|
1849 | pDelete(&(c->gcd_of_terms[i])); |
---|
1850 | } |
---|
1851 | omfree(c->gcd_of_terms); |
---|
1852 | |
---|
1853 | omfree(c->apairs); |
---|
1854 | printf("calculated %d NFs\n",c->normal_forms); |
---|
1855 | printf("applied %i product crit, %i extended_product crit \n", c->easy_product_crit, c->extended_product_crit); |
---|
1856 | int deleted_form_c_s=0; |
---|
1857 | |
---|
1858 | for(i=0;i<c->n;i++){ |
---|
1859 | if (c->rep[i]!=i){ |
---|
1860 | for(j=0;j<=c->strat->sl;j++){ |
---|
1861 | if(c->strat->S[j]==c->S->m[i]){ |
---|
1862 | c->strat->S[j]=NULL; |
---|
1863 | break; |
---|
1864 | } |
---|
1865 | } |
---|
1866 | // PrintS("R_delete"); |
---|
1867 | pDelete(&c->S->m[i]); |
---|
1868 | } |
---|
1869 | } |
---|
1870 | for(i=0;i<=c->strat->sl;i++){ |
---|
1871 | if (!c->strat->S[i]) continue; |
---|
1872 | BOOLEAN found=FALSE; |
---|
1873 | for(j=0;j<c->n;j++){ |
---|
1874 | if (c->S->m[j]==c->strat->S[i]){ |
---|
1875 | found=TRUE; |
---|
1876 | break; |
---|
1877 | } |
---|
1878 | } |
---|
1879 | if(!found) pDelete(&c->strat->S[i]); |
---|
1880 | } |
---|
1881 | omfree(c->rep); |
---|
1882 | I=c->S; |
---|
1883 | |
---|
1884 | IDELEMS(I)=c->n; |
---|
1885 | |
---|
1886 | idSkipZeroes(c->S); |
---|
1887 | for(i=0;i<=c->strat->sl;i++) |
---|
1888 | c->strat->S[i]=NULL; |
---|
1889 | id_Delete(&c->strat->Shdl,c->r); |
---|
1890 | delete c->strat; |
---|
1891 | omfree(c); |
---|
1892 | |
---|
1893 | return(I); |
---|
1894 | } |
---|
1895 | static void now_t_rep(const int & arg_i, const int & arg_j, calc_dat* c){ |
---|
1896 | int i,j; |
---|
1897 | if (arg_i==arg_j){ |
---|
1898 | return; |
---|
1899 | } |
---|
1900 | if (arg_i>arg_j){ |
---|
1901 | i=arg_j; |
---|
1902 | j=arg_i; |
---|
1903 | } else { |
---|
1904 | i=arg_i; |
---|
1905 | j=arg_j; |
---|
1906 | } |
---|
1907 | c->states[j][i]=HASTREP; |
---|
1908 | } |
---|
1909 | static void soon_t_rep(const int& arg_i, const int& arg_j, calc_dat* c) |
---|
1910 | { |
---|
1911 | assume(0<=arg_i); |
---|
1912 | assume(0<=arg_j); |
---|
1913 | assume(arg_i<c->n); |
---|
1914 | assume(arg_j<c->n); |
---|
1915 | int i,j; |
---|
1916 | if (arg_i==arg_j){ |
---|
1917 | return; |
---|
1918 | } |
---|
1919 | if (arg_i>arg_j){ |
---|
1920 | i=arg_j; |
---|
1921 | j=arg_i; |
---|
1922 | } else { |
---|
1923 | i=arg_i; |
---|
1924 | j=arg_j; |
---|
1925 | } |
---|
1926 | if (! |
---|
1927 | (c->states[j][i]==HASTREP)) |
---|
1928 | c->states[j][i]=SOONTREP; |
---|
1929 | } |
---|
1930 | static BOOLEAN has_t_rep(const int & arg_i, const int & arg_j, calc_dat* state){ |
---|
1931 | assume(0<=arg_i); |
---|
1932 | assume(0<=arg_j); |
---|
1933 | assume(arg_i<state->n); |
---|
1934 | assume(arg_j<state->n); |
---|
1935 | if (arg_i==arg_j) |
---|
1936 | { |
---|
1937 | return (TRUE); |
---|
1938 | } |
---|
1939 | if (arg_i>arg_j) |
---|
1940 | { |
---|
1941 | return (state->states[arg_i][arg_j]==HASTREP); |
---|
1942 | } else |
---|
1943 | { |
---|
1944 | return (state->states[arg_j][arg_i]==HASTREP); |
---|
1945 | } |
---|
1946 | } |
---|
1947 | static int pLcmDeg(poly a, poly b) |
---|
1948 | { |
---|
1949 | int i; |
---|
1950 | int n=0; |
---|
1951 | for (i=pVariables; i; i--) |
---|
1952 | { |
---|
1953 | n+=max( pGetExp(a,i), pGetExp(b,i)); |
---|
1954 | } |
---|
1955 | return n; |
---|
1956 | |
---|
1957 | } |
---|
1958 | |
---|
1959 | |
---|
1960 | |
---|
1961 | static void shorten_tails(calc_dat* c, poly monom) |
---|
1962 | { |
---|
1963 | return; |
---|
1964 | // BOOLEAN corr=lenS_correct(c->strat); |
---|
1965 | for(int i=0;i<c->n;i++) |
---|
1966 | { |
---|
1967 | //enter tail |
---|
1968 | if (c->rep[i]!=i) continue; |
---|
1969 | if (c->S->m[i]==NULL) continue; |
---|
1970 | poly tail=c->S->m[i]->next; |
---|
1971 | poly prev=c->S->m[i]; |
---|
1972 | BOOLEAN did_something=FALSE; |
---|
1973 | while((tail!=NULL)&& (pLmCmp(tail, monom)>=0)) |
---|
1974 | { |
---|
1975 | if (p_LmDivisibleBy(monom,tail,c->r)) |
---|
1976 | { |
---|
1977 | did_something=TRUE; |
---|
1978 | prev->next=tail->next; |
---|
1979 | tail->next=NULL; |
---|
1980 | p_Delete(& tail,c->r); |
---|
1981 | tail=prev; |
---|
1982 | //PrintS("Shortened"); |
---|
1983 | c->lengths[i]--; |
---|
1984 | } |
---|
1985 | prev=tail; |
---|
1986 | tail=tail->next; |
---|
1987 | } |
---|
1988 | if (did_something) |
---|
1989 | { |
---|
1990 | int new_pos; |
---|
1991 | int q; |
---|
1992 | q=quality(c->S->m[i],c->lengths[i],c); |
---|
1993 | new_pos=simple_posInS(c->strat,c->S->m[i],q,c->is_char0); |
---|
1994 | |
---|
1995 | int old_pos=-1; |
---|
1996 | //assume new_pos<old_pos |
---|
1997 | for (int z=0;z<=c->strat->sl;z++) |
---|
1998 | { |
---|
1999 | if (c->strat->S[z]==c->S->m[i]) |
---|
2000 | { |
---|
2001 | old_pos=z; |
---|
2002 | break; |
---|
2003 | } |
---|
2004 | } |
---|
2005 | if (old_pos== -1) |
---|
2006 | for (int z=new_pos-1;z>=0;z--) |
---|
2007 | { |
---|
2008 | if (c->strat->S[z]==c->S->m[i]) |
---|
2009 | { |
---|
2010 | old_pos=z; |
---|
2011 | break; |
---|
2012 | } |
---|
2013 | } |
---|
2014 | assume(old_pos>=0); |
---|
2015 | assume(new_pos<=old_pos); |
---|
2016 | assume(pLength(c->strat->S[old_pos])==c->lengths[i]); |
---|
2017 | c->strat->lenS[old_pos]=c->lengths[i]; |
---|
2018 | if (c->strat->lenSw) |
---|
2019 | c->strat->lenSw[old_pos]=q; |
---|
2020 | |
---|
2021 | if (new_pos<old_pos) |
---|
2022 | move_forward_in_S(old_pos,new_pos,c->strat, c->is_char0); |
---|
2023 | |
---|
2024 | length_one_crit(c,i,c->lengths[i]); |
---|
2025 | } |
---|
2026 | } |
---|
2027 | } |
---|
2028 | static sorted_pair_node* pop_pair(calc_dat* c){ |
---|
2029 | clean_top_of_pair_list(c); |
---|
2030 | |
---|
2031 | if(c->pair_top<0) return NULL; |
---|
2032 | else return (c->apairs[c->pair_top--]); |
---|
2033 | } |
---|
2034 | static sorted_pair_node* top_pair(calc_dat* c){ |
---|
2035 | super_clean_top_of_pair_list(c);//yeah, I know, it's odd that I use a different proc here |
---|
2036 | |
---|
2037 | if(c->pair_top<0) return NULL; |
---|
2038 | else return (c->apairs[c->pair_top]); |
---|
2039 | } |
---|
2040 | static sorted_pair_node* quick_pop_pair(calc_dat* c){ |
---|
2041 | if(c->pair_top<0) return NULL; |
---|
2042 | else return (c->apairs[c->pair_top--]); |
---|
2043 | } |
---|
2044 | static BOOLEAN no_pairs(calc_dat* c){ |
---|
2045 | clean_top_of_pair_list(c); |
---|
2046 | return (c->pair_top==-1); |
---|
2047 | } |
---|
2048 | |
---|
2049 | |
---|
2050 | static void super_clean_top_of_pair_list(calc_dat* c){ |
---|
2051 | while((c->pair_top>=0) && (c->apairs[c->pair_top]->i>=0) && (good_has_t_rep(c->apairs[c->pair_top]->j, c->apairs[c->pair_top]->i,c))){ |
---|
2052 | |
---|
2053 | free_sorted_pair_node(c->apairs[c->pair_top],c->r); |
---|
2054 | c->pair_top--; |
---|
2055 | |
---|
2056 | } |
---|
2057 | } |
---|
2058 | static void clean_top_of_pair_list(calc_dat* c){ |
---|
2059 | 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))){ |
---|
2060 | |
---|
2061 | free_sorted_pair_node(c->apairs[c->pair_top],c->r); |
---|
2062 | c->pair_top--; |
---|
2063 | |
---|
2064 | } |
---|
2065 | } |
---|
2066 | static BOOLEAN state_is(calc_state state, const int & arg_i, const int & arg_j, calc_dat* c){ |
---|
2067 | assume(0<=arg_i); |
---|
2068 | assume(0<=arg_j); |
---|
2069 | assume(arg_i<c->n); |
---|
2070 | assume(arg_j<c->n); |
---|
2071 | if (arg_i==arg_j) |
---|
2072 | { |
---|
2073 | return (TRUE); |
---|
2074 | } |
---|
2075 | if (arg_i>arg_j) |
---|
2076 | { |
---|
2077 | return (c->states[arg_i][arg_j]==state); |
---|
2078 | } |
---|
2079 | else return(c->states[arg_j][arg_i]==state); |
---|
2080 | } |
---|
2081 | static void free_sorted_pair_node(sorted_pair_node* s, ring r){ |
---|
2082 | if (s->i>=0) |
---|
2083 | p_Delete(&s->lcm_of_lm,r); |
---|
2084 | omfree(s); |
---|
2085 | } |
---|
2086 | static BOOLEAN pair_better(sorted_pair_node* a,sorted_pair_node* b, calc_dat* c){ |
---|
2087 | if (a->deg<b->deg) return TRUE; |
---|
2088 | if (a->deg>b->deg) return FALSE; |
---|
2089 | |
---|
2090 | if (a->expected_length<b->expected_length) return TRUE; |
---|
2091 | if (a->expected_length>b->expected_length) return FALSE; |
---|
2092 | int comp=pLmCmp(a->lcm_of_lm, b->lcm_of_lm); |
---|
2093 | if (comp==1) return FALSE; |
---|
2094 | if (-1==comp) return TRUE; |
---|
2095 | if (a->i<b->i) return TRUE; |
---|
2096 | if (a->j<b->j) return TRUE; |
---|
2097 | return FALSE; |
---|
2098 | } |
---|
2099 | |
---|
2100 | static int pair_better_gen(const void* ap,const void* bp){ |
---|
2101 | |
---|
2102 | sorted_pair_node* a=*((sorted_pair_node**)ap); |
---|
2103 | sorted_pair_node* b=*((sorted_pair_node**)bp); |
---|
2104 | assume(a->i>a->j); |
---|
2105 | assume(b->i>b->j); |
---|
2106 | if (a->deg<b->deg) return -1; |
---|
2107 | if (a->deg>b->deg) return 1; |
---|
2108 | |
---|
2109 | |
---|
2110 | if (a->expected_length<b->expected_length) return -1; |
---|
2111 | if (a->expected_length>b->expected_length) return 1; |
---|
2112 | int comp=pLmCmp(a->lcm_of_lm, b->lcm_of_lm); |
---|
2113 | |
---|
2114 | if (comp==1) return 1; |
---|
2115 | if (-1==comp) return -1; |
---|
2116 | if (a->i<b->i) return -1; |
---|
2117 | if (a->j<b->j) return -1; |
---|
2118 | return 0; |
---|
2119 | } |
---|
2120 | |
---|
2121 | |
---|
2122 | static poly gcd_of_terms(poly p, ring r){ |
---|
2123 | int max_g_0=0; |
---|
2124 | assume(p!=NULL); |
---|
2125 | int i; |
---|
2126 | poly m=pOne(); |
---|
2127 | poly t; |
---|
2128 | for (i=pVariables; i; i--) |
---|
2129 | { |
---|
2130 | pSetExp(m,i, pGetExp(p,i)); |
---|
2131 | if (max_g_0==0) |
---|
2132 | if (pGetExp(m,i)>0) |
---|
2133 | max_g_0=i; |
---|
2134 | } |
---|
2135 | |
---|
2136 | t=p->next; |
---|
2137 | while (t!=NULL){ |
---|
2138 | |
---|
2139 | if (max_g_0==0) break; |
---|
2140 | for (i=pVariables; i; i--) |
---|
2141 | { |
---|
2142 | pSetExp(m,i, min(pGetExp(t,i),pGetExp(m,i))); |
---|
2143 | if (max_g_0==i) |
---|
2144 | if (pGetExp(m,i)==0) |
---|
2145 | max_g_0=0; |
---|
2146 | if ((max_g_0==0) && (pGetExp(m,i)>0)){ |
---|
2147 | max_g_0=i; |
---|
2148 | } |
---|
2149 | } |
---|
2150 | t=t->next; |
---|
2151 | } |
---|
2152 | for (i=pVariables;i;i--) |
---|
2153 | { |
---|
2154 | if(pGetExp(m,i)>0) |
---|
2155 | return m; |
---|
2156 | } |
---|
2157 | pDelete(&m); |
---|
2158 | return NULL; |
---|
2159 | } |
---|
2160 | static BOOLEAN pHasNotCFExtended(poly p1, poly p2, poly m) |
---|
2161 | { |
---|
2162 | |
---|
2163 | if (pGetComp(p1) > 0 || pGetComp(p2) > 0) |
---|
2164 | return FALSE; |
---|
2165 | int i = 1; |
---|
2166 | loop |
---|
2167 | { |
---|
2168 | if ((pGetExp(p1, i)-pGetExp(m,i) >0) && (pGetExp(p2, i) -pGetExp(m,i)> 0)) return FALSE; |
---|
2169 | if (i == pVariables) return TRUE; |
---|
2170 | i++; |
---|
2171 | } |
---|
2172 | } |
---|
2173 | |
---|
2174 | |
---|
2175 | //for impl reasons may return false if the the normal product criterion matches |
---|
2176 | static BOOLEAN extended_product_criterion(poly p1, poly gcd1, poly p2, poly gcd2, calc_dat* c){ |
---|
2177 | if(gcd1==NULL) return FALSE; |
---|
2178 | if(gcd2==NULL) return FALSE; |
---|
2179 | gcd1->next=gcd2; //may ordered incorrect |
---|
2180 | poly m=gcd_of_terms(gcd1,c->r); |
---|
2181 | gcd1->next=NULL; |
---|
2182 | if (m==NULL) return FALSE; |
---|
2183 | |
---|
2184 | BOOLEAN erg=pHasNotCFExtended(p1,p2,m); |
---|
2185 | pDelete(&m); |
---|
2186 | return erg; |
---|
2187 | } |
---|
2188 | static poly kBucketGcd(kBucket* b, ring r) |
---|
2189 | { |
---|
2190 | int s=0; |
---|
2191 | int i; |
---|
2192 | poly m, n; |
---|
2193 | BOOLEAN initialized=FALSE; |
---|
2194 | for (i=MAX_BUCKET-1;i>=0;i--) |
---|
2195 | { |
---|
2196 | if (b->buckets[i]!=NULL){ |
---|
2197 | if (!initialized){ |
---|
2198 | m=gcd_of_terms(b->buckets[i],r); |
---|
2199 | initialized=TRUE; |
---|
2200 | if (m==NULL) return NULL; |
---|
2201 | } |
---|
2202 | else |
---|
2203 | { |
---|
2204 | n=gcd_of_terms(b->buckets[i],r); |
---|
2205 | if (n==NULL) { |
---|
2206 | pDelete(&m); |
---|
2207 | return NULL; |
---|
2208 | } |
---|
2209 | n->next=m; |
---|
2210 | poly t=gcd_of_terms(n,r); |
---|
2211 | n->next=NULL; |
---|
2212 | pDelete(&m); |
---|
2213 | pDelete(&n); |
---|
2214 | m=t; |
---|
2215 | if (m==NULL) return NULL; |
---|
2216 | |
---|
2217 | } |
---|
2218 | } |
---|
2219 | } |
---|
2220 | return m; |
---|
2221 | } |
---|
2222 | |
---|
2223 | |
---|
2224 | |
---|
2225 | static int guess_quality(const red_object & p, calc_dat* c){ |
---|
2226 | //looks only on bucket |
---|
2227 | if (c->is_char0) return kSBucketLength(p.bucket); |
---|
2228 | return (bucket_guess(p.bucket)); |
---|
2229 | } |
---|
2230 | static int quality_of_pos_in_strat_S(int pos, calc_dat* c){ |
---|
2231 | if (c->is_char0) return c->strat->lenSw[pos]; |
---|
2232 | return c->strat->lenS[pos]; |
---|
2233 | } |
---|
2234 | static int quality(poly p, int len, calc_dat* c){ |
---|
2235 | if (c->is_char0) return pSLength(p,len); |
---|
2236 | return pLength(p); |
---|
2237 | } |
---|
2238 | static void multi_reduction_lls_trick(red_object* los, int losl,calc_dat* c,find_erg & erg){ |
---|
2239 | erg.expand=NULL; |
---|
2240 | BOOLEAN swap_roles; //from reduce_by, to_reduce_u if fromS |
---|
2241 | if(erg.fromS){ |
---|
2242 | if(pLmEqual(c->strat->S[erg.reduce_by],los[erg.to_reduce_u].p)) |
---|
2243 | { |
---|
2244 | int i; |
---|
2245 | int quality_a=quality_of_pos_in_strat_S(erg.reduce_by,c); |
---|
2246 | int best=erg.to_reduce_u+1; |
---|
2247 | /* |
---|
2248 | for (i=erg.to_reduce_u;i>=erg.to_reduce_l;i--){ |
---|
2249 | int qc=los[i].guess_quality(c); |
---|
2250 | if (qc<quality_a){ |
---|
2251 | best=i; |
---|
2252 | quality_a=qc; |
---|
2253 | } |
---|
2254 | } |
---|
2255 | if(best!=erg.to_reduce_u+1){*/ |
---|
2256 | int qc; |
---|
2257 | best=find_best(los,erg.to_reduce_l,erg.to_reduce_u,qc,c); |
---|
2258 | assume(qc==los[best].guess_quality(c)); |
---|
2259 | if(qc<quality_a){ |
---|
2260 | red_object h=los[erg.to_reduce_u]; |
---|
2261 | los[erg.to_reduce_u]=los[best]; |
---|
2262 | los[best]=h; |
---|
2263 | swap_roles=TRUE; |
---|
2264 | } |
---|
2265 | else{ |
---|
2266 | |
---|
2267 | swap_roles=FALSE; |
---|
2268 | } |
---|
2269 | |
---|
2270 | } |
---|
2271 | else |
---|
2272 | { |
---|
2273 | if (erg.to_reduce_u>erg.to_reduce_l){ |
---|
2274 | |
---|
2275 | int i; |
---|
2276 | int quality_a=quality_of_pos_in_strat_S(erg.reduce_by,c); |
---|
2277 | int best=erg.to_reduce_u+1; |
---|
2278 | int qc; |
---|
2279 | best=find_best(los,erg.to_reduce_l,erg.to_reduce_u,qc,c); |
---|
2280 | assume(qc==los[best].guess_quality(c)); |
---|
2281 | if(qc<quality_a){ |
---|
2282 | //(best!=erg.to_reduce_u+1){ |
---|
2283 | red_object h=los[erg.to_reduce_l]; |
---|
2284 | los[erg.to_reduce_l]=los[best]; |
---|
2285 | los[best]=h; |
---|
2286 | erg.reduce_by=erg.to_reduce_l; |
---|
2287 | erg.fromS=FALSE; |
---|
2288 | erg.to_reduce_l++; |
---|
2289 | |
---|
2290 | } |
---|
2291 | } |
---|
2292 | else |
---|
2293 | { |
---|
2294 | assume(erg.to_reduce_u==erg.to_reduce_l); |
---|
2295 | int quality_a=quality_of_pos_in_strat_S(erg.reduce_by,c); |
---|
2296 | int qc=los[erg.to_reduce_u].guess_quality(c); |
---|
2297 | if(qc<quality_a){ |
---|
2298 | BOOLEAN exp=FALSE; |
---|
2299 | if(qc<=2) |
---|
2300 | exp=TRUE; |
---|
2301 | else { |
---|
2302 | if (qc<quality_a/2) |
---|
2303 | exp=TRUE; |
---|
2304 | else |
---|
2305 | if(erg.reduce_by<c->n/4) |
---|
2306 | exp=TRUE; |
---|
2307 | } |
---|
2308 | if (exp){ |
---|
2309 | poly clear_into; |
---|
2310 | los[erg.to_reduce_u].flatten(); |
---|
2311 | kBucketClear(los[erg.to_reduce_u].bucket,&clear_into,&erg.expand_length); |
---|
2312 | erg.expand=pCopy(clear_into); |
---|
2313 | kBucketInit(los[erg.to_reduce_u].bucket,clear_into,erg.expand_length); |
---|
2314 | PrintS("e"); |
---|
2315 | |
---|
2316 | } |
---|
2317 | } |
---|
2318 | |
---|
2319 | |
---|
2320 | } |
---|
2321 | |
---|
2322 | swap_roles=FALSE; |
---|
2323 | return; |
---|
2324 | } |
---|
2325 | |
---|
2326 | } |
---|
2327 | else{ |
---|
2328 | if(erg.reduce_by>erg.to_reduce_u){ |
---|
2329 | //then lm(rb)>= lm(tru) so = |
---|
2330 | assume(erg.reduce_by==erg.to_reduce_u+1); |
---|
2331 | int best=erg.reduce_by; |
---|
2332 | int quality_a=los[erg.reduce_by].guess_quality(c); |
---|
2333 | int qc; |
---|
2334 | best=find_best(los,erg.to_reduce_l,erg.to_reduce_u,qc,c); |
---|
2335 | |
---|
2336 | int i; |
---|
2337 | if(qc<quality_a){ |
---|
2338 | red_object h=los[erg.reduce_by]; |
---|
2339 | los[erg.reduce_by]=los[best]; |
---|
2340 | los[best]=h; |
---|
2341 | } |
---|
2342 | swap_roles=FALSE; |
---|
2343 | return; |
---|
2344 | |
---|
2345 | |
---|
2346 | } |
---|
2347 | else |
---|
2348 | { |
---|
2349 | assume(!pLmEqual(los[erg.reduce_by].p,los[erg.to_reduce_l].p)); |
---|
2350 | //further assume, that reduce_by is the above all other polys |
---|
2351 | //with same leading term |
---|
2352 | int il=erg.reduce_by; |
---|
2353 | int quality_a =los[erg.reduce_by].guess_quality(c); |
---|
2354 | int qc; |
---|
2355 | while((il>0) && pLmEqual(los[il-1].p,los[il].p)){ |
---|
2356 | il--; |
---|
2357 | qc=los[il].guess_quality(c); |
---|
2358 | if (qc<quality_a){ |
---|
2359 | quality_a=qc; |
---|
2360 | erg.reduce_by=il; |
---|
2361 | } |
---|
2362 | } |
---|
2363 | swap_roles=FALSE; |
---|
2364 | } |
---|
2365 | |
---|
2366 | } |
---|
2367 | if(swap_roles){ |
---|
2368 | PrintS("b"); |
---|
2369 | poly clear_into; |
---|
2370 | int dummy_len; |
---|
2371 | int new_length; |
---|
2372 | int bp=erg.to_reduce_u;//bucket_positon |
---|
2373 | //kBucketClear(los[bp].bucket,&clear_into,&new_length); |
---|
2374 | new_length=los[bp].clear_to_poly(); |
---|
2375 | clear_into=los[bp].p; |
---|
2376 | poly p=c->strat->S[erg.reduce_by]; |
---|
2377 | int j=erg.reduce_by; |
---|
2378 | int old_length=c->strat->lenS[j];// in view of S |
---|
2379 | los[bp].p=p; |
---|
2380 | kBucketInit(los[bp].bucket,p,old_length); |
---|
2381 | int qal=quality(clear_into,new_length,c); |
---|
2382 | int pos_in_c=-1; |
---|
2383 | int z; |
---|
2384 | int new_pos; |
---|
2385 | new_pos=simple_posInS(c->strat,clear_into,qal,c->is_char0); |
---|
2386 | assume(new_pos<=j); |
---|
2387 | for (z=c->n;z;z--) |
---|
2388 | { |
---|
2389 | if(p==c->S->m[z-1]) |
---|
2390 | { |
---|
2391 | pos_in_c=z-1; |
---|
2392 | break; |
---|
2393 | } |
---|
2394 | } |
---|
2395 | if(pos_in_c>=0) |
---|
2396 | { |
---|
2397 | c->S->m[pos_in_c]=clear_into; |
---|
2398 | c->lengths[pos_in_c]=new_length; |
---|
2399 | c_S_element_changed_hook(pos_in_c,c); |
---|
2400 | } |
---|
2401 | c->strat->S[j]=clear_into; |
---|
2402 | c->strat->lenS[j]=new_length; |
---|
2403 | if(c->strat->lenSw) |
---|
2404 | c->strat->lenS[j]=qal; |
---|
2405 | if(c->is_char0) |
---|
2406 | { |
---|
2407 | pContent(clear_into); |
---|
2408 | pCleardenom(clear_into); |
---|
2409 | } |
---|
2410 | else |
---|
2411 | pNorm(clear_into); |
---|
2412 | if (new_pos<j){ |
---|
2413 | move_forward_in_S(j,new_pos,c->strat,c->is_char0); |
---|
2414 | erg.reduce_by=new_pos; |
---|
2415 | } |
---|
2416 | } |
---|
2417 | } |
---|
2418 | static void multi_reduction_find(red_object* los, int losl,calc_dat* c,int startf,find_erg & erg){ |
---|
2419 | kStrategy strat=c->strat; |
---|
2420 | |
---|
2421 | assume(startf<=losl); |
---|
2422 | assume((startf==losl-1)||(pLmCmp(los[startf].p,los[startf+1].p)==-1)); |
---|
2423 | int i=startf; |
---|
2424 | |
---|
2425 | int j; |
---|
2426 | while(i>=0){ |
---|
2427 | assume((i==losl-1)||(pLmCmp(los[i].p,los[i+1].p)<=0)); |
---|
2428 | assume(is_valid_ro(los[i])); |
---|
2429 | j=kFindDivisibleByInS_easy(strat,los[i]); |
---|
2430 | if(j>=0){ |
---|
2431 | |
---|
2432 | erg.to_reduce_u=i; |
---|
2433 | erg.reduce_by=j; |
---|
2434 | erg.fromS=TRUE; |
---|
2435 | int i2; |
---|
2436 | for(i2=i-1;i2>=0;i2--){ |
---|
2437 | if(!pLmEqual(los[i].p,los[i2].p)) |
---|
2438 | break; |
---|
2439 | } |
---|
2440 | |
---|
2441 | erg.to_reduce_l=i2+1; |
---|
2442 | assume((i==losl-1)||(pLmCmp(los[i].p,los[i+1].p)==-1)); |
---|
2443 | return; |
---|
2444 | } |
---|
2445 | if (j<0){ |
---|
2446 | |
---|
2447 | //not reduceable, try to use this for reducing higher terms |
---|
2448 | int i2; |
---|
2449 | i2=i; |
---|
2450 | while((i2>0)&&(pLmEqual(los[i].p,los[i2-1].p))) |
---|
2451 | i2--; |
---|
2452 | if(i2!=i){ |
---|
2453 | |
---|
2454 | erg.to_reduce_u=i-1; |
---|
2455 | erg.to_reduce_l=i2; |
---|
2456 | erg.reduce_by=i; |
---|
2457 | erg.fromS=FALSE; |
---|
2458 | assume((i==losl-1)||(pLmCmp(los[i].p,los[i+1].p)==-1)); |
---|
2459 | return; |
---|
2460 | } |
---|
2461 | |
---|
2462 | for (i2=i+1;i2<losl;i2++){ |
---|
2463 | if (p_LmShortDivisibleBy(los[i].p,los[i].sev,los[i2].p,~los[i2].sev, |
---|
2464 | c->r)){ |
---|
2465 | int i3=i2; |
---|
2466 | while((i3+1<losl) && (pLmEqual(los[i2].p, los[i3+1].p))) |
---|
2467 | i3++; |
---|
2468 | erg.to_reduce_u=i3; |
---|
2469 | erg.to_reduce_l=i2; |
---|
2470 | erg.reduce_by=i; |
---|
2471 | erg.fromS=FALSE; |
---|
2472 | assume((i==losl-1)||(pLmCmp(los[i].p,los[i+1].p)==-1)); |
---|
2473 | return; |
---|
2474 | } |
---|
2475 | // else {assume(!p_LmDivisibleBy(los[i].p, los[i2].p,c->r));} |
---|
2476 | } |
---|
2477 | |
---|
2478 | i--; |
---|
2479 | } |
---|
2480 | } |
---|
2481 | erg.reduce_by=-1;//error code |
---|
2482 | return; |
---|
2483 | } |
---|
2484 | |
---|
2485 | // nicht reduzierbare eintraege in ergebnisliste schreiben |
---|
2486 | // nullen loeschen |
---|
2487 | // while(finde_groessten leitterm reduzierbar(c,erg)){ |
---|
2488 | |
---|
2489 | static int multi_reduction_clear_zeroes(red_object* los, int losl, int l, int u) |
---|
2490 | { |
---|
2491 | |
---|
2492 | |
---|
2493 | int deleted=0; |
---|
2494 | int i=l; |
---|
2495 | int last=-1; |
---|
2496 | while(i<=u) |
---|
2497 | { |
---|
2498 | |
---|
2499 | if(los[i].p==NULL){ |
---|
2500 | kBucketDestroy(&los[i].bucket); |
---|
2501 | // delete los[i];//here we assume los are constructed with new |
---|
2502 | //destroy resources, must be added here |
---|
2503 | if (last>=0) |
---|
2504 | { |
---|
2505 | memmove(los+(int)(last+1-deleted),los+(last+1),sizeof(red_object)*(i-1-last)); |
---|
2506 | } |
---|
2507 | last=i; |
---|
2508 | deleted++; |
---|
2509 | } |
---|
2510 | i++; |
---|
2511 | } |
---|
2512 | if((last>=0)&&(last!=losl-1)) |
---|
2513 | memmove(los+(int)(last+1-deleted),los+last+1,sizeof(red_object)*(losl-1-last)); |
---|
2514 | return deleted; |
---|
2515 | |
---|
2516 | } |
---|
2517 | |
---|
2518 | static void sort_region_down(red_object* los, int l, int u, calc_dat* c) |
---|
2519 | { |
---|
2520 | qsort(los+l,u-l+1,sizeof(red_object),red_object_better_gen); |
---|
2521 | int i; |
---|
2522 | |
---|
2523 | for(i=l;i<=u;i++) |
---|
2524 | { |
---|
2525 | BOOLEAN moved=FALSE; |
---|
2526 | int j; |
---|
2527 | for(j=i;j;j--) |
---|
2528 | { |
---|
2529 | if(pLmCmp(los[j].p,los[j-1].p)==-1){ |
---|
2530 | red_object h=los[j]; |
---|
2531 | los[j]=los[j-1]; |
---|
2532 | los[j-1]=h; |
---|
2533 | moved=TRUE; |
---|
2534 | } |
---|
2535 | else break; |
---|
2536 | } |
---|
2537 | if(!moved) return; |
---|
2538 | } |
---|
2539 | } |
---|
2540 | |
---|
2541 | //assume that los is ordered ascending by leading term, all non zero |
---|
2542 | static void multi_reduction(red_object* los, int & losl, calc_dat* c) |
---|
2543 | { |
---|
2544 | |
---|
2545 | //initialize; |
---|
2546 | assume(c->strat->sl>=0); |
---|
2547 | assume(losl>0); |
---|
2548 | int i; |
---|
2549 | for(i=0;i<losl;i++){ |
---|
2550 | los[i].sev=pGetShortExpVector(los[i].p); |
---|
2551 | //SetShortExpVector(); |
---|
2552 | los[i].p=kBucketGetLm(los[i].bucket); |
---|
2553 | } |
---|
2554 | |
---|
2555 | kStrategy strat=c->strat; |
---|
2556 | int curr_pos=losl-1; |
---|
2557 | |
---|
2558 | |
---|
2559 | // nicht reduzierbare einträge in ergebnisliste schreiben |
---|
2560 | // nullen loeschen |
---|
2561 | while(curr_pos>=0){ |
---|
2562 | |
---|
2563 | find_erg erg; |
---|
2564 | multi_reduction_find(los, losl,c,curr_pos,erg);//last argument should be curr_pos |
---|
2565 | // PrintS("\n erg:\n"); |
---|
2566 | // Print("upper:%i\n",erg.to_reduce_u); |
---|
2567 | // Print("lower:%i\n",erg.to_reduce_l); |
---|
2568 | // Print("reduce_by:%i\n",erg.reduce_by); |
---|
2569 | // Print("fromS:%i\n",erg.fromS); |
---|
2570 | if(erg.reduce_by<0) break; |
---|
2571 | |
---|
2572 | |
---|
2573 | |
---|
2574 | erg.expand=NULL; |
---|
2575 | int d=erg.to_reduce_u-erg.to_reduce_l+1; |
---|
2576 | //if ((!erg.fromS)&&(d>100)){ |
---|
2577 | if (0){ |
---|
2578 | PrintS("L"); |
---|
2579 | if(!erg.fromS){ |
---|
2580 | erg.to_reduce_u=max(erg.to_reduce_u,erg.reduce_by); |
---|
2581 | if (pLmEqual(los[erg.reduce_by].p,los[erg.to_reduce_l].p)) |
---|
2582 | erg.to_reduce_l=min(erg.to_reduce_l,erg.reduce_by); |
---|
2583 | } |
---|
2584 | int pn=erg.to_reduce_u+1-erg.to_reduce_l; |
---|
2585 | poly* p=(poly*) omalloc((pn)*sizeof(poly)); |
---|
2586 | int i; |
---|
2587 | for(i=0;i<pn;i++){ |
---|
2588 | int len; |
---|
2589 | los[erg.to_reduce_l+i].flatten(); |
---|
2590 | kBucketClear(los[erg.to_reduce_l+i].bucket,&p[i],&len); |
---|
2591 | |
---|
2592 | redTailShort(p[i],c->strat); |
---|
2593 | } |
---|
2594 | pre_comp(p,pn,c); |
---|
2595 | int j; |
---|
2596 | for(j=0;j<pn;j++){ |
---|
2597 | los[erg.to_reduce_l+j].p=p[j]; |
---|
2598 | los[erg.to_reduce_l+j].sev=pGetShortExpVector(p[j]); |
---|
2599 | los[erg.to_reduce_l+j].sum=NULL; |
---|
2600 | int len=pLength(p[j]); |
---|
2601 | kBucketInit(los[erg.to_reduce_l+j].bucket,los[erg.to_reduce_l+j].p,len); |
---|
2602 | } |
---|
2603 | for(j=erg.to_reduce_l+pn;j<=erg.to_reduce_u;j++){ |
---|
2604 | los[j].p=NULL; |
---|
2605 | |
---|
2606 | } |
---|
2607 | |
---|
2608 | omfree(p); |
---|
2609 | } |
---|
2610 | else { |
---|
2611 | multi_reduction_lls_trick(los,losl,c,erg); |
---|
2612 | int sum=0; |
---|
2613 | |
---|
2614 | |
---|
2615 | int i; |
---|
2616 | int len; |
---|
2617 | |
---|
2618 | multi_reduce_step(erg,los,c); |
---|
2619 | } |
---|
2620 | // reduction_step *rs=create_reduction_step(erg, los, c); |
---|
2621 | // rs->reduce(los,erg.to_reduce_l,erg.to_reduce_u); |
---|
2622 | // finalize_reduction_step(rs); |
---|
2623 | |
---|
2624 | int deleted=multi_reduction_clear_zeroes(los, losl, erg.to_reduce_l, erg.to_reduce_u); |
---|
2625 | curr_pos=erg.to_reduce_u; |
---|
2626 | losl -= deleted; |
---|
2627 | curr_pos -= deleted; |
---|
2628 | |
---|
2629 | //Print("deleted %i \n",deleted); |
---|
2630 | sort_region_down(los, erg.to_reduce_l, erg.to_reduce_u-deleted, c); |
---|
2631 | // sort_region_down(los, 0, losl-1, c); |
---|
2632 | // qsort(los,losl,sizeof(red_object),red_object_better_gen); |
---|
2633 | if(erg.expand) |
---|
2634 | add_to_reductors(c,erg.expand,erg.expand_length); |
---|
2635 | } |
---|
2636 | return; |
---|
2637 | } |
---|
2638 | void red_object::flatten(){ |
---|
2639 | if (sum!=NULL) |
---|
2640 | { |
---|
2641 | |
---|
2642 | |
---|
2643 | if(kBucketGetLm(sum->ac->bucket)!=NULL){ |
---|
2644 | number mult_my=n_Mult(sum->c_my,sum->ac->multiplied,currRing); |
---|
2645 | poly add_this; |
---|
2646 | if(!nIsOne(mult_my)) |
---|
2647 | kBucket_Mult_n(bucket,mult_my); |
---|
2648 | int len; |
---|
2649 | poly clear_into; |
---|
2650 | kBucketClear(sum->ac->bucket,&clear_into,&len); |
---|
2651 | if(sum->ac->counter>1){ |
---|
2652 | add_this=pCopy(clear_into); |
---|
2653 | kBucketInit(sum->ac->bucket,clear_into,len); |
---|
2654 | } |
---|
2655 | else |
---|
2656 | add_this=clear_into; |
---|
2657 | pMult_nn(add_this, sum->c_ac); |
---|
2658 | |
---|
2659 | kBucket_Add_q(bucket,add_this, &len); |
---|
2660 | nDelete(&mult_my); |
---|
2661 | |
---|
2662 | } |
---|
2663 | nDelete(&sum->c_ac); |
---|
2664 | nDelete(&sum->c_my); |
---|
2665 | |
---|
2666 | sum->ac->decrease_counter(); |
---|
2667 | delete sum; |
---|
2668 | p=kBucketGetLm(bucket); |
---|
2669 | sum=NULL; |
---|
2670 | } |
---|
2671 | assume(p==kBucketGetLm(bucket)); |
---|
2672 | assume(sum==NULL); |
---|
2673 | } |
---|
2674 | void red_object::validate(){ |
---|
2675 | BOOLEAN flattened=FALSE; |
---|
2676 | if(sum!=NULL) |
---|
2677 | { |
---|
2678 | poly lm=kBucketGetLm(bucket); |
---|
2679 | poly lm_ac=kBucketGetLm(sum->ac->bucket); |
---|
2680 | if ((lm_ac==NULL)||((lm!=NULL) && (pLmCmp(lm,lm_ac)!=-1))){ |
---|
2681 | flatten(); |
---|
2682 | assume(sum==NULL); |
---|
2683 | flattened=TRUE; |
---|
2684 | p=kBucketGetLm(bucket); |
---|
2685 | if (p!=NULL) |
---|
2686 | sev=pGetShortExpVector(p); |
---|
2687 | } |
---|
2688 | else |
---|
2689 | { |
---|
2690 | |
---|
2691 | p=lm_ac; |
---|
2692 | assume(sum->ac->sev==pGetShortExpVector(p)); |
---|
2693 | sev=sum->ac->sev; |
---|
2694 | } |
---|
2695 | |
---|
2696 | } |
---|
2697 | else{ |
---|
2698 | p=kBucketGetLm(bucket); |
---|
2699 | if(p) |
---|
2700 | sev=pGetShortExpVector(p); |
---|
2701 | } |
---|
2702 | assume((sum==NULL)||(kBucketGetLm(sum->ac->bucket)!=NULL)); |
---|
2703 | } |
---|
2704 | int red_object::clear_to_poly(){ |
---|
2705 | flatten(); |
---|
2706 | int l; |
---|
2707 | kBucketClear(bucket,&p,&l); |
---|
2708 | return l; |
---|
2709 | } |
---|
2710 | |
---|
2711 | |
---|
2712 | |
---|
2713 | void red_object::adjust_coefs(number c_r, number c_ac_r){ |
---|
2714 | assume(this->sum!=NULL); |
---|
2715 | number n1=nMult(sum->c_my, c_ac_r); |
---|
2716 | number n2=nMult(sum->c_ac,c_r); |
---|
2717 | nDelete(&sum->c_my); |
---|
2718 | nDelete(&sum->c_ac); |
---|
2719 | |
---|
2720 | int ct = ksCheckCoeff(&n1, &n2); |
---|
2721 | sum->c_my=n1; |
---|
2722 | sum->c_ac=nNeg(n2); |
---|
2723 | nDelete(&n2); |
---|
2724 | |
---|
2725 | |
---|
2726 | } |
---|
2727 | int red_object::guess_quality(calc_dat* c){ |
---|
2728 | //works at the moment only for lenvar 1, because in different |
---|
2729 | //case, you have to look on coefs |
---|
2730 | int s=0; |
---|
2731 | if (c->is_char0) |
---|
2732 | s=kSBucketLength(bucket); |
---|
2733 | else |
---|
2734 | s=bucket_guess(bucket); |
---|
2735 | if (sum!=NULL){ |
---|
2736 | if (c->is_char0) |
---|
2737 | s+=kSBucketLength(sum->ac->bucket); |
---|
2738 | else |
---|
2739 | s+=bucket_guess(sum->ac->bucket); |
---|
2740 | } |
---|
2741 | return s; |
---|
2742 | } |
---|
2743 | void reduction_step::reduce(red_object* r, int l, int u){} |
---|
2744 | void simple_reducer::target_is_no_sum_reduce(red_object & ro){ |
---|
2745 | kBucketPolyRed(ro.bucket,p, |
---|
2746 | p_len, |
---|
2747 | c->strat->kNoether); |
---|
2748 | } |
---|
2749 | |
---|
2750 | void simple_reducer::target_is_a_sum_reduce(red_object & ro){ |
---|
2751 | pTest(p); |
---|
2752 | kbTest(ro.bucket); |
---|
2753 | kbTest(ro.sum->ac->bucket); |
---|
2754 | assume(ro.sum!=NULL); |
---|
2755 | assume(ro.sum->ac!=NULL); |
---|
2756 | if(ro.sum->ac->last_reduction_id!=reduction_id){ |
---|
2757 | number n1=kBucketPolyRed(ro.sum->ac->bucket,p, p_len, c->strat->kNoether); |
---|
2758 | number n2=nMult(n1,ro.sum->ac->multiplied); |
---|
2759 | nDelete(&ro.sum->ac->multiplied); |
---|
2760 | nDelete(&n1); |
---|
2761 | ro.sum->ac->multiplied=n2; |
---|
2762 | poly lm=kBucketGetLm(ro.sum->ac->bucket); |
---|
2763 | if (lm) |
---|
2764 | ro.sum->ac->sev=pGetShortExpVector(lm); |
---|
2765 | ro.sum->ac->last_reduction_id=reduction_id; |
---|
2766 | } |
---|
2767 | ro.sev=ro.sum->ac->sev; |
---|
2768 | ro.p=kBucketGetLm(ro.sum->ac->bucket); |
---|
2769 | } |
---|
2770 | void simple_reducer::reduce(red_object* r, int l, int u){ |
---|
2771 | this->pre_reduce(r,l,u); |
---|
2772 | int i; |
---|
2773 | //debug start |
---|
2774 | int im; |
---|
2775 | // for(im=l;im<=u;im++) |
---|
2776 | // assume(is_valid_ro(r[im])); |
---|
2777 | |
---|
2778 | |
---|
2779 | //debug end |
---|
2780 | |
---|
2781 | for(i=l;i<=u;i++){ |
---|
2782 | |
---|
2783 | |
---|
2784 | if(r[i].sum==NULL) |
---|
2785 | this->target_is_no_sum_reduce(r[i]); |
---|
2786 | |
---|
2787 | else |
---|
2788 | { |
---|
2789 | this->target_is_a_sum_reduce(r[i]); |
---|
2790 | //reduce and adjust multiplied |
---|
2791 | r[i].sum->ac->last_reduction_id=reduction_id; |
---|
2792 | |
---|
2793 | } |
---|
2794 | //most elegant would be multimethods at this point and subclassing |
---|
2795 | //red_object for sum |
---|
2796 | |
---|
2797 | } |
---|
2798 | for(i=l;i<=u;i++){ |
---|
2799 | r[i].validate(); |
---|
2800 | #ifdef TGB_DEBUG |
---|
2801 | if (r[i].sum) r[i].sev=r[i].sum->ac->sev; |
---|
2802 | |
---|
2803 | #endif |
---|
2804 | } |
---|
2805 | } |
---|
2806 | reduction_step::~reduction_step(){} |
---|
2807 | simple_reducer::~simple_reducer(){ |
---|
2808 | if(fill_back!=NULL) |
---|
2809 | { |
---|
2810 | kBucketInit(fill_back,p,p_len); |
---|
2811 | } |
---|
2812 | fill_back=NULL; |
---|
2813 | |
---|
2814 | } |
---|
2815 | join_simple_reducer::~join_simple_reducer(){ |
---|
2816 | if(fill_back!=NULL) |
---|
2817 | { |
---|
2818 | kBucketInit(fill_back,p,p_len); |
---|
2819 | } |
---|
2820 | fill_back=NULL; |
---|
2821 | |
---|
2822 | } |
---|
2823 | void multi_reduce_step(find_erg & erg, red_object* r, calc_dat* c){ |
---|
2824 | static int id=0; |
---|
2825 | id++; |
---|
2826 | |
---|
2827 | int rn=erg.reduce_by; |
---|
2828 | poly red; |
---|
2829 | int red_len; |
---|
2830 | simple_reducer* pointer; |
---|
2831 | BOOLEAN woc=FALSE; |
---|
2832 | if(erg.fromS){ |
---|
2833 | red=c->strat->S[rn]; |
---|
2834 | red_len=c->strat->lenS[rn]; |
---|
2835 | |
---|
2836 | } |
---|
2837 | else |
---|
2838 | { |
---|
2839 | r[rn].flatten(); |
---|
2840 | kBucketClear(r[rn].bucket,&red,&red_len); |
---|
2841 | } |
---|
2842 | if (erg.to_reduce_u-erg.to_reduce_l>5){ |
---|
2843 | woc=TRUE; |
---|
2844 | poly m=pOne(); |
---|
2845 | for(int i=1;i<=pVariables;i++) |
---|
2846 | pSetExp(m,i,(pGetExp(r[erg.to_reduce_l].p, i)-pGetExp(red,i))); |
---|
2847 | pSetm(m); |
---|
2848 | poly red_cp=ppMult_mm(red,m); |
---|
2849 | |
---|
2850 | if(!erg.fromS){ |
---|
2851 | kBucketInit(r[rn].bucket,red,red_len); |
---|
2852 | } |
---|
2853 | //now reduce the copy |
---|
2854 | //static poly redNF2 (poly h,calc_dat* c , int &len, number& m,int n) |
---|
2855 | redTailShort(red_cp,c->strat); |
---|
2856 | //number mul; |
---|
2857 | // red_len--; |
---|
2858 | // red_cp->next=redNF2(red_cp->next,c,red_len,mul,c->average_length); |
---|
2859 | // pSetCoeff(red_cp,nMult(red_cp->coef,mul)); |
---|
2860 | // nDelete(&mul); |
---|
2861 | // red_len++; |
---|
2862 | red=red_cp; |
---|
2863 | red_len=pLength(red); |
---|
2864 | pDelete(&m); |
---|
2865 | |
---|
2866 | } |
---|
2867 | int i; |
---|
2868 | |
---|
2869 | |
---|
2870 | int red_c=0; |
---|
2871 | if(red_len>2*c->average_length){ |
---|
2872 | for(i=erg.to_reduce_l;i<=erg.to_reduce_u;i++){ |
---|
2873 | if((r[i].sum==NULL) ||(r[i].sum->ac->counter<=AC_FLATTEN)) red_c++; |
---|
2874 | } |
---|
2875 | } |
---|
2876 | if (red_c>=AC_NEW_MIN) |
---|
2877 | pointer=new join_simple_reducer(red,red_len,r[erg.to_reduce_l].p); |
---|
2878 | else |
---|
2879 | pointer=new simple_reducer(red,red_len,c); |
---|
2880 | |
---|
2881 | if ((!woc) && (!erg.fromS)) |
---|
2882 | pointer->fill_back=r[rn].bucket; |
---|
2883 | else |
---|
2884 | pointer->fill_back=NULL; |
---|
2885 | pointer->reduction_id=id; |
---|
2886 | pointer->c=c; |
---|
2887 | |
---|
2888 | pointer->reduce(r,erg.to_reduce_l, erg.to_reduce_u); |
---|
2889 | if(woc) pDelete(&pointer->p); |
---|
2890 | delete pointer; |
---|
2891 | |
---|
2892 | }; |
---|
2893 | |
---|
2894 | void join_simple_reducer::target_is_no_sum_reduce(red_object & ro){ |
---|
2895 | |
---|
2896 | ro.sum=new formal_sum_descriptor(); |
---|
2897 | ro.sum->ac=ac; |
---|
2898 | ac->counter++; |
---|
2899 | kBucket_pt bucket=ro.bucket; |
---|
2900 | poly a1 = pNext(p), lm = kBucketExtractLm(bucket); |
---|
2901 | BOOLEAN reset_vec=FALSE; |
---|
2902 | number rn; |
---|
2903 | assume(a1!=NULL); |
---|
2904 | number an = pGetCoeff(p), bn = pGetCoeff(lm); |
---|
2905 | lm->next=NULL; |
---|
2906 | int ct = ksCheckCoeff(&an, &bn); |
---|
2907 | ro.sum->c_ac=nNeg(bn); |
---|
2908 | ro.sum->c_my=an; |
---|
2909 | assume(nIsZero(nAdd(nMult(ro.sum->c_my,lm->coef),nMult(p->coef,ro.sum->c_ac) ))); |
---|
2910 | if (p_GetComp(p, bucket->bucket_ring) != p_GetComp(lm, bucket->bucket_ring)) |
---|
2911 | { |
---|
2912 | p_SetCompP(a1, p_GetComp(lm, bucket->bucket_ring), bucket->bucket_ring); |
---|
2913 | reset_vec = TRUE; |
---|
2914 | p_SetComp(lm, p_GetComp(p, bucket->bucket_ring), bucket->bucket_ring); |
---|
2915 | p_Setm(lm, bucket->bucket_ring); |
---|
2916 | } |
---|
2917 | |
---|
2918 | |
---|
2919 | |
---|
2920 | |
---|
2921 | p_DeleteLm(&lm, bucket->bucket_ring); |
---|
2922 | if (reset_vec) p_SetCompP(a1, 0, bucket->bucket_ring); |
---|
2923 | kbTest(bucket); |
---|
2924 | |
---|
2925 | } |
---|
2926 | |
---|
2927 | reduction_accumulator::reduction_accumulator(poly p, int p_len, poly high_to){ |
---|
2928 | //sev needs to be removed from interfaces,makes no sense |
---|
2929 | |
---|
2930 | degbound(p); |
---|
2931 | degbound(p->next); |
---|
2932 | degbound(high_to); |
---|
2933 | poly my=pOne(); |
---|
2934 | counter=0; |
---|
2935 | |
---|
2936 | for(int i=1;i<=pVariables;i++) |
---|
2937 | pSetExp(my,i,(pGetExp(high_to, i)-pGetExp(p,i))); |
---|
2938 | degbound(my); |
---|
2939 | |
---|
2940 | |
---|
2941 | pSetm(my); |
---|
2942 | last_reduction_id=-1; |
---|
2943 | multiplied=nInit(1); |
---|
2944 | bucket=kBucketCreate(currRing); |
---|
2945 | poly a=pMult_mm(pCopy(p->next),my); |
---|
2946 | degbound(a); |
---|
2947 | this->sev=pGetShortExpVector(a); |
---|
2948 | kBucketInit(bucket, a,p_len-1); |
---|
2949 | pDelete(&my); |
---|
2950 | } |
---|
2951 | void simple_reducer:: pre_reduce(red_object* r, int l, int u){} |
---|
2952 | void join_simple_reducer:: pre_reduce(red_object* r, int l, int u){ |
---|
2953 | for(int i=l;i<=u;i++) |
---|
2954 | { |
---|
2955 | if (r[i].sum){ |
---|
2956 | if(r[i].sum->ac->counter<=AC_FLATTEN) r[i].flatten(); |
---|
2957 | |
---|
2958 | } |
---|
2959 | } |
---|
2960 | } |
---|