1 | #include "tgb_internal.h" |
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2 | static poly redNF (poly h,kStrategy strat, int &len) |
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3 | { |
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4 | len=0; |
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5 | if (h==NULL) return NULL; |
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6 | int j; |
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7 | |
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8 | len=pLength(h); |
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9 | if (0 > strat->sl) |
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10 | { |
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11 | return h; |
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12 | } |
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13 | LObject P(h); |
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14 | P.SetShortExpVector(); |
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15 | P.bucket = kBucketCreate(currRing); |
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16 | kBucketInit(P.bucket,P.p,len /*pLength(P.p)*/); |
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17 | //int max_pos=simple_posInS(strat,P.p); |
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18 | loop |
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19 | { |
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20 | j=kFindDivisibleByInS(strat->S,strat->sevS,strat->sl,&P); |
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21 | if (j>=0) |
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22 | { |
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23 | nNormalize(pGetCoeff(P.p)); |
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24 | #ifdef KDEBUG |
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25 | if (TEST_OPT_DEBUG) |
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26 | { |
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27 | PrintS("red:"); |
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28 | wrp(h); |
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29 | PrintS(" with "); |
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30 | wrp(strat->S[j]); |
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31 | } |
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32 | #endif |
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33 | number coef=kBucketPolyRed(P.bucket,strat->S[j], |
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34 | strat->lenS[j]/*pLength(strat->S[j])*/, |
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35 | strat->kNoether); |
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36 | nDelete(&coef); |
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37 | h = kBucketGetLm(P.bucket); |
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38 | if (h==NULL) return NULL; |
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39 | P.p=h; |
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40 | P.t_p=NULL; |
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41 | P.SetShortExpVector(); |
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42 | #ifdef KDEBUG |
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43 | if (TEST_OPT_DEBUG) |
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44 | { |
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45 | PrintS("\nto:"); |
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46 | wrp(h); |
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47 | PrintLn(); |
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48 | } |
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49 | #endif |
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50 | } |
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51 | else |
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52 | { |
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53 | kBucketClear(P.bucket,&(P.p),&len); |
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54 | kBucketDestroy(&P.bucket); |
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55 | pNormalize(P.p); |
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56 | return P.p; |
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57 | } |
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58 | } |
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59 | } |
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60 | int find_best(red_object* r,int l, int u, int &w, calc_dat* c){ |
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61 | |
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62 | int sz=u-l+1; |
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63 | int n=sz/10+1; |
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64 | int filled=0; |
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65 | int* indizes=(int*) omalloc(n*sizeof(int)); |
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66 | int* weight=(int*) omalloc(n*sizeof(int)); |
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67 | int worst=-1; |
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68 | int i; |
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69 | for(i=l;i<=u;i++){ |
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70 | int q=r[i].guess_quality(c); |
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71 | if ((filled<n)||(q<worst)){ |
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72 | if(filled<n){ |
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73 | worst=si_max(q,worst); |
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74 | indizes[filled]=i; |
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75 | weight[filled]=q; |
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76 | filled++; |
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77 | } |
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78 | } |
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79 | else{ |
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80 | int j; |
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81 | for(j=0;j<filled;j++){ |
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82 | if (worst==weight[j]){ |
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83 | weight[j]=q; |
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84 | indizes[j]=i; |
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85 | } |
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86 | } |
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87 | worst=-1; |
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88 | for(j=0;j<filled;j++){ |
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89 | if (worst<weight[j]){ |
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90 | worst=weight[j]; |
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91 | } |
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92 | } |
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93 | } |
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94 | } |
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95 | assume(filled==n); |
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96 | int pos=0; |
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97 | |
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98 | for(i=0;i<filled;i++){ |
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99 | r[indizes[i]].canonicalize(); |
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100 | weight[i]=r[indizes[i]].guess_quality(c); |
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101 | if(weight[i]<weight[pos]) pos=i; |
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102 | } |
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103 | w=weight[pos]; |
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104 | pos=indizes[pos]; |
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105 | |
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106 | omfree(indizes); |
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107 | omfree(weight); |
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108 | |
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109 | assume(w==r[pos].guess_quality(c)); |
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110 | assume(l<=pos); |
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111 | assume(u>=pos); |
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112 | return pos; |
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113 | |
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114 | } |
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115 | static poly redNF (poly h,kStrategy strat) |
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116 | { |
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117 | int j = 0; |
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118 | int z = 3; |
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119 | unsigned long not_sev; |
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120 | |
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121 | if (0 > strat->sl) |
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122 | { |
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123 | return h; |
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124 | } |
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125 | not_sev = ~ pGetShortExpVector(h); |
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126 | loop |
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127 | { |
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128 | if (pLmShortDivisibleBy(strat->S[j], strat->sevS[j], h, not_sev)) |
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129 | { |
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130 | //if (strat->interpt) test_int_std(strat->kIdeal); |
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131 | /*- compute the s-polynomial -*/ |
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132 | #ifdef KDEBUG |
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133 | if (TEST_OPT_DEBUG) |
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134 | { |
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135 | |
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136 | PrintS("red:"); |
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137 | wrp(h); |
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138 | PrintS(" with "); |
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139 | wrp(strat->S[j]); |
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140 | } |
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141 | #endif |
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142 | h = ksOldSpolyRed(strat->S[j],h,strat->kNoether); |
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143 | #ifdef KDEBUG |
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144 | if (TEST_OPT_DEBUG) |
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145 | { |
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146 | PrintS("\nto:"); |
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147 | wrp(h); |
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148 | PrintLn(); |
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149 | } |
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150 | #endif |
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151 | if (h == NULL) return NULL; |
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152 | z++; |
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153 | if (z>=10) |
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154 | { |
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155 | z=0; |
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156 | pNormalize(h); |
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157 | } |
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158 | /*- try to reduce the s-polynomial -*/ |
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159 | j = 0; |
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160 | not_sev = ~ pGetShortExpVector(h); |
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161 | } |
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162 | else |
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163 | { |
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164 | if (j >= strat->sl) return h; |
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165 | j++; |
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166 | } |
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167 | } |
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168 | } |
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169 | static sorted_pair_node** add_to_basis(poly h, int i_pos, int j_pos,calc_dat* c, int* ip) |
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170 | { |
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171 | |
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172 | assume(h!=NULL); |
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173 | // BOOLEAN corr=lenS_correct(c->strat); |
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174 | BOOLEAN R_found=FALSE; |
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175 | void* hp; |
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176 | |
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177 | ++(c->n); |
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178 | ++(c->S->ncols); |
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179 | int i,j; |
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180 | i=c->n-1; |
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181 | sorted_pair_node** nodes=(sorted_pair_node**) omalloc(sizeof(sorted_pair_node*)*i); |
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182 | int spc=0; |
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183 | c->T_deg=(int*) omrealloc(c->T_deg,c->n*sizeof(int)); |
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184 | c->T_deg[i]=pTotaldegree(h); |
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185 | if(c->T_deg_full){ |
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186 | c->T_deg_full=(int*) omrealloc(c->T_deg_full,c->n*sizeof(int)); |
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187 | c->T_deg_full[i]=pTotaldegree_full(h); |
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188 | } |
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189 | |
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190 | c->tmp_pair_lm=(poly*) omrealloc(c->tmp_pair_lm,c->n*sizeof(poly)); |
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191 | c->tmp_pair_lm[i]=pOne_Special(c->r); |
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192 | c->tmp_spn=(sorted_pair_node**) omrealloc(c->tmp_spn,c->n*sizeof(sorted_pair_node*)); |
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193 | c->tmp_spn[i]=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
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194 | |
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195 | hp=omrealloc(c->rep, c->n *sizeof(int)); |
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196 | if (hp!=NULL){ |
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197 | c->rep=(int*) hp; |
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198 | } else { |
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199 | exit(1); |
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200 | } |
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201 | c->short_Exps=(long *) omrealloc(c->short_Exps ,c->n*sizeof(long)); |
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202 | |
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203 | hp=omrealloc(c->lengths, c->n *sizeof(int)); |
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204 | if (hp!=NULL){ |
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205 | c->lengths=(int*) hp; |
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206 | } else { |
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207 | exit(1); |
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208 | } |
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209 | c->lengths[i]=pLength(h); |
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210 | hp=omrealloc(c->states, c->n * sizeof(char*)); |
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211 | |
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212 | c->states=(char**) hp; |
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213 | c->gcd_of_terms=(poly*) omrealloc(c->gcd_of_terms, c->n *sizeof(poly)); |
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214 | c->gcd_of_terms[i]=gcd_of_terms(h,c->r); |
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215 | c->rep[i]=i; |
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216 | if (i>0) |
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217 | hp=omalloc(i*sizeof(char)); |
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218 | else |
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219 | hp=NULL; |
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220 | if (hp!=NULL){ |
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221 | c->states[i]=(char*) hp; |
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222 | } else { |
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223 | //exit(1); |
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224 | } |
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225 | hp=omrealloc(c->S->m,c->n*sizeof(poly)); |
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226 | if (hp!=NULL){ |
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227 | c->S->m=(poly*) hp; |
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228 | } else { |
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229 | exit(1); |
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230 | } |
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231 | c->S->m[i]=h; |
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232 | c->short_Exps[i]=p_GetShortExpVector(h,c->r); |
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233 | for (j=0;j<i;j++){ |
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234 | if (c->rep[j]==j){ |
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235 | //check product criterion |
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236 | |
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237 | c->states[i][j]=UNCALCULATED; |
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238 | assume(p_LmDivisibleBy(c->S->m[i],c->S->m[j],c->r)== |
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239 | p_LmShortDivisibleBy(c->S->m[i],c->short_Exps[i],c->S->m[j],~(c->short_Exps[j]),c->r)); |
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240 | if(!c->F4_mode) |
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241 | { |
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242 | assume(!(p_LmDivisibleBy(c->S->m[j],c->S->m[i],c->r))); |
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243 | } |
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244 | //lies I[i] under I[j] ? |
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245 | if(p_LmShortDivisibleBy(c->S->m[i],c->short_Exps[i],c->S->m[j],~(c->short_Exps[j]),c->r)){ |
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246 | c->rep[j]=i; |
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247 | if (TEST_OPT_PROT) |
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248 | PrintS("R"); |
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249 | R_found=TRUE; |
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250 | |
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251 | c->Rcounter++; |
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252 | if((i_pos>=0) && (j_pos>=0)){ |
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253 | |
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254 | } |
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255 | for(int z=0;z<j;z++){ |
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256 | if(c->rep[z]!=z) continue; |
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257 | if (c->states[j][z]==UNCALCULATED){ |
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258 | c->states[j][z]=UNIMPORTANT; |
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259 | } |
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260 | } |
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261 | for(int z=j+1;z<i;z++){ |
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262 | if(c->rep[z]!=z) continue; |
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263 | if (c->states[z][j]==UNCALCULATED){ |
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264 | c->states[z][j]=UNIMPORTANT; |
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265 | } |
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266 | } |
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267 | } |
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268 | } |
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269 | else { |
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270 | c->states[i][j]=UNIMPORTANT; |
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271 | } |
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272 | if ((c->lengths[i]==1) && (c->lengths[j]==1)) |
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273 | c->states[i][j]=HASTREP; |
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274 | else if (pHasNotCF(c->S->m[i],c->S->m[j])){ |
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275 | c->easy_product_crit++; |
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276 | c->states[i][j]=HASTREP; |
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277 | } |
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278 | else if(extended_product_criterion(c->S->m[i],c->gcd_of_terms[i],c->S->m[j],c->gcd_of_terms[j],c)){ |
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279 | c->states[i][j]=HASTREP; |
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280 | c->extended_product_crit++; |
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281 | //PrintS("E"); |
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282 | } |
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283 | if (c->states[i][j]==UNCALCULATED){ |
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284 | |
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285 | |
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286 | // poly short_s=ksCreateShortSpoly(c->S->m[i],c->S->m[j],c->r); |
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287 | // if (short_s) |
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288 | // { |
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289 | sorted_pair_node* s=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
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290 | s->i=si_max(i,j); |
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291 | s->j=si_min(i,j); |
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292 | s->expected_length=c->lengths[i]+c->lengths[j]-2; |
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293 | |
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294 | poly lm=pOne(); |
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295 | |
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296 | pLcm(c->S->m[i], c->S->m[j], lm); |
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297 | pSetm(lm); |
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298 | s->deg=pTotaldegree(lm); |
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299 | if(c->T_deg_full) |
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300 | { |
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301 | int t_i=c->T_deg_full[s->i]-c->T_deg[s->i]; |
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302 | int t_j=c->T_deg_full[s->j]-c->T_deg[s->j]; |
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303 | s->deg+=si_max(t_i,t_j); |
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304 | } |
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305 | s->lcm_of_lm=lm; |
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306 | // pDelete(&short_s); |
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307 | //assume(lm!=NULL); |
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308 | nodes[spc]=s; |
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309 | spc++; |
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310 | // } |
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311 | //else |
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312 | //{ |
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313 | //c->states[i][j]=HASTREP; |
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314 | //} |
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315 | } |
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316 | } |
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317 | |
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318 | add_to_reductors(c, h, c->lengths[c->n-1]); |
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319 | //i=posInS(c->strat,c->strat->sl,h,0 ecart); |
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320 | |
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321 | if (c->lengths[c->n-1]==1) |
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322 | shorten_tails(c,c->S->m[c->n-1]); |
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323 | //you should really update c->lengths, c->strat->lenS, and the oder of polys in strat if you sort after lengths |
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324 | |
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325 | //for(i=c->strat->sl; i>0;i--) |
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326 | // if(c->strat->lenS[i]<c->strat->lenS[i-1]) printf("fehler bei %d\n",i); |
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327 | if (c->Rcounter>50) { |
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328 | c->Rcounter=0; |
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329 | cleanS(c->strat,c); |
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330 | } |
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331 | if(!ip){ |
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332 | qsort(nodes,spc,sizeof(sorted_pair_node*),pair_better_gen2); |
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333 | |
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334 | |
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335 | c->apairs=merge(c->apairs,c->pair_top+1,nodes,spc,c); |
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336 | c->pair_top+=spc; |
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337 | clean_top_of_pair_list(c); |
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338 | omfree(nodes); |
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339 | return NULL; |
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340 | } |
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341 | { |
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342 | *ip=spc; |
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343 | return nodes; |
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344 | } |
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345 | |
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346 | |
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347 | |
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348 | } |
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349 | |
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350 | static void do_this_spoly_stuff(int i,int j,calc_dat* c){ |
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351 | poly f=c->S->m[i]; |
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352 | poly g=c->S->m[j]; |
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353 | poly h=ksOldCreateSpoly(f, g, NULL, c->r); |
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354 | poly hr=NULL; |
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355 | #ifdef FULLREDUCTIONS |
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356 | if (h!=NULL) |
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357 | { |
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358 | int len; |
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359 | |
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360 | // hr=redNF2(h,c,len); |
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361 | // hr=redNF(h,c->strat,len); |
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362 | |
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363 | if (hr!=NULL) |
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364 | #ifdef REDTAIL_S |
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365 | hr = redNFTail(hr,c->strat->sl,c->strat,len); |
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366 | #else |
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367 | hr = redtailBba(hr,c->strat->sl,c->strat); |
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368 | #endif |
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369 | |
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370 | } |
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371 | #else |
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372 | if (h!=NULL) |
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373 | { |
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374 | int len; |
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375 | // hr=redNF2(h,c,len); |
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376 | } |
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377 | #endif |
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378 | c->normal_forms++; |
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379 | if (hr==NULL) |
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380 | { |
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381 | notice_miss(i, j, c); |
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382 | |
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383 | } |
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384 | else |
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385 | { |
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386 | |
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387 | #ifdef HEAD_BIN |
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388 | hr=p_MoveHead(hr,c->HeadBin); |
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389 | #endif |
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390 | add_to_basis(hr, i,j,c); |
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391 | } |
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392 | } |
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