1 | #ifndef TGB_INTERNAL_H |
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2 | #define TGB_INTERNAL_H |
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3 | //!\file tgb_internal.h |
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4 | /**************************************** |
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5 | * Computer Algebra System SINGULAR * |
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6 | ****************************************/ |
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7 | /* $Id: tgb_internal.h,v 1.10 2005-05-12 09:19:43 bricken Exp $ */ |
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8 | /* |
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9 | * ABSTRACT: tgb internal .h file |
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10 | */ |
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11 | #include "mod2.h" |
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12 | #include <omalloc.h> |
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13 | #include "p_polys.h" |
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14 | |
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15 | #include "ideals.h" |
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16 | #include "ring.h" |
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17 | #include "febase.h" |
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18 | #include "structs.h" |
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19 | #include "polys.h" |
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20 | #include "stdlib.h" |
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21 | |
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22 | |
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23 | #include "kutil.h" |
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24 | #include "kInline.cc" |
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25 | #include "kstd1.h" |
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26 | #include "kbuckets.h" |
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27 | |
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28 | |
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29 | |
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30 | |
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31 | //#define TGB_DEBUG |
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32 | #define FULLREDUCTIONS |
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33 | #define HANS_IDEA |
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34 | //#define HALFREDUCTIONS |
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35 | //#define HEAD_BIN |
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36 | //#define HOMOGENEOUS_EXAMPLE |
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37 | #define REDTAIL_S |
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38 | #define PAR_N 100 |
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39 | #define PAR_N_F4 5000 |
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40 | #define AC_NEW_MIN 2 |
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41 | #define AC_FLATTEN 1 |
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42 | |
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43 | //#define FIND_DETERMINISTIC |
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44 | //#define REDTAIL_PROT |
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45 | //#define QUICK_SPOLY_TEST |
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46 | struct sorted_pair_node{ |
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47 | //criterium, which is stable 0. small lcm 1. small i 2. small j |
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48 | int i; |
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49 | int j; |
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50 | int deg; |
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51 | int expected_length; |
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52 | poly lcm_of_lm; |
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53 | }; |
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54 | |
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55 | |
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56 | //static ideal debug_Ideal; |
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57 | |
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58 | |
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59 | struct poly_list_node{ |
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60 | poly p; |
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61 | poly_list_node* next; |
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62 | }; |
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63 | |
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64 | struct int_pair_node{ |
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65 | int_pair_node* next; |
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66 | int a; |
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67 | int b; |
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68 | }; |
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69 | struct monom_poly{ |
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70 | poly m; |
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71 | poly f; |
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72 | }; |
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73 | struct mp_array_list{ |
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74 | monom_poly* mp; |
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75 | int size; |
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76 | mp_array_list* next; |
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77 | }; |
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78 | |
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79 | |
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80 | struct poly_array_list{ |
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81 | poly* p; |
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82 | int size; |
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83 | poly_array_list* next; |
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84 | }; |
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85 | struct calc_dat |
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86 | { |
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87 | int* rep; |
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88 | char** states; |
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89 | ideal S; |
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90 | ring r; |
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91 | int* lengths; |
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92 | long* short_Exps; |
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93 | kStrategy strat; |
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94 | int* T_deg; |
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95 | int* T_deg_full; |
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96 | poly tmp_lm; |
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97 | poly* tmp_pair_lm; |
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98 | sorted_pair_node** tmp_spn; |
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99 | poly* expandS; |
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100 | poly* gcd_of_terms; |
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101 | int_pair_node* soon_free; |
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102 | sorted_pair_node** apairs; |
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103 | BOOLEAN* modifiedS; |
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104 | poly_list_node* to_destroy; |
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105 | //for F4 |
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106 | mp_array_list* F; |
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107 | poly_array_list* F_minus; |
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108 | |
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109 | //end for F4 |
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110 | #ifdef HEAD_BIN |
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111 | struct omBin_s* HeadBin; |
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112 | #endif |
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113 | unsigned int reduction_steps; |
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114 | int n; |
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115 | //! array_lengths should be greater equal n; |
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116 | int array_lengths; |
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117 | int normal_forms; |
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118 | int current_degree; |
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119 | int Rcounter; |
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120 | int last_index; |
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121 | int max_pairs; |
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122 | int pair_top; |
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123 | int easy_product_crit; |
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124 | int extended_product_crit; |
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125 | int average_length; |
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126 | BOOLEAN is_char0; |
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127 | BOOLEAN is_homog; |
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128 | BOOLEAN F4_mode; |
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129 | }; |
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130 | class red_object{ |
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131 | public: |
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132 | kBucket_pt bucket; |
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133 | poly p; |
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134 | unsigned long sev; |
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135 | void flatten(); |
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136 | void validate(); |
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137 | void adjust_coefs(number c_r, number c_ac_r); |
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138 | int guess_quality(calc_dat* c); |
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139 | int clear_to_poly(); |
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140 | void canonicalize(); |
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141 | }; |
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142 | |
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143 | |
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144 | enum calc_state |
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145 | { |
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146 | UNCALCULATED, |
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147 | HASTREP, |
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148 | UNIMPORTANT, |
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149 | SOONTREP |
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150 | }; |
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151 | |
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152 | static int add_to_reductors(calc_dat* c, poly h, int len); |
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153 | static int bucket_guess(kBucket* bucket); |
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154 | static poly redNFTail (poly h,const int sl,kStrategy strat, int len); |
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155 | static poly redNF2 (poly h,calc_dat* c , int &len, number& m,int n=0); |
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156 | void free_sorted_pair_node(sorted_pair_node* s, ring r); |
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157 | static void shorten_tails(calc_dat* c, poly monom); |
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158 | static void replace_pair(int & i, int & j, calc_dat* c); |
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159 | //static sorted_pair_node** add_to_basis(poly h, int i, int j,calc_dat* c, int* ip=NULL); |
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160 | static void do_this_spoly_stuff(int i,int j,calc_dat* c); |
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161 | //ideal t_rep_gb(ring r,ideal arg_I); |
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162 | static BOOLEAN has_t_rep(const int & arg_i, const int & arg_j, calc_dat* state); |
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163 | static int* make_connections(int from, poly bound, calc_dat* c); |
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164 | static int* make_connections(int from, int to, poly bound, calc_dat* c); |
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165 | void now_t_rep(const int & arg_i, const int & arg_j, calc_dat* c); |
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166 | static void soon_t_rep(const int & arg_i, const int & arg_j, calc_dat* c); |
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167 | static int pLcmDeg(poly a, poly b); |
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168 | static int simple_posInS (kStrategy strat, poly p,int len); |
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169 | static BOOLEAN find_next_pair(calc_dat* c, BOOLEAN go_higher=TRUE); |
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170 | |
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171 | static sorted_pair_node* pop_pair(calc_dat* c); |
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172 | static BOOLEAN no_pairs(calc_dat* c); |
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173 | void clean_top_of_pair_list(calc_dat* c); |
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174 | static void super_clean_top_of_pair_list(calc_dat* c); |
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175 | static BOOLEAN state_is(calc_state state, const int & i, const int & j, calc_dat* c); |
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176 | static BOOLEAN pair_better(sorted_pair_node* a,sorted_pair_node* b, calc_dat* c); |
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177 | static int tgb_pair_better_gen(const void* ap,const void* bp); |
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178 | static poly redTailShort(poly h, kStrategy strat); |
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179 | static poly gcd_of_terms(poly p, ring r); |
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180 | static BOOLEAN extended_product_criterion(poly p1, poly gcd1, poly p2, poly gcd2, calc_dat* c); |
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181 | static poly kBucketGcd(kBucket* b, ring r); |
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182 | static void multi_reduction(red_object* los, int & losl, calc_dat* c); |
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183 | sorted_pair_node* quick_pop_pair(calc_dat* c); |
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184 | sorted_pair_node* top_pair(calc_dat* c); |
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185 | sorted_pair_node** add_to_basis_ideal_quotient(poly h, int i_pos, int j_pos,calc_dat* c, int* ip); |
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186 | sorted_pair_node** spn_merge(sorted_pair_node** p, int pn,sorted_pair_node **q, int qn,calc_dat* c); |
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187 | int kFindDivisibleByInS_easy(kStrategy strat,const red_object & obj); |
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188 | int tgb_pair_better_gen2(const void* ap,const void* bp); |
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189 | int kFindDivisibleByInS_easy(kStrategy strat,poly p, long sev); |
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190 | //static int quality(poly p, int len, calc_dat* c); |
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191 | /** |
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192 | makes on each red_object in a region a single_step |
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193 | **/ |
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194 | class reduction_step{ |
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195 | public: |
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196 | /// we assume hat all occuring red_objects have same lm, and all |
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197 | /// occ. lm's in r[l...u] are the same, only reductor does not occur |
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198 | virtual void reduce(red_object* r, int l, int u); |
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199 | //int reduction_id; |
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200 | virtual ~reduction_step(); |
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201 | calc_dat* c; |
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202 | int reduction_id; |
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203 | }; |
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204 | class simple_reducer:public reduction_step{ |
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205 | public: |
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206 | poly p; |
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207 | kBucket_pt fill_back; |
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208 | int p_len; |
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209 | simple_reducer(poly p, int p_len, calc_dat* c =NULL){ |
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210 | this->p=p; |
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211 | assume(p_len==pLength(p)); |
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212 | this->p_len=p_len; |
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213 | this->c=c; |
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214 | } |
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215 | virtual void pre_reduce(red_object* r, int l, int u); |
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216 | virtual void reduce(red_object* r, int l, int u); |
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217 | ~simple_reducer(); |
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218 | |
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219 | |
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220 | virtual void target_is_no_sum_reduce(red_object & ro); |
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221 | }; |
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222 | |
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223 | //class sum_canceling_reducer:public reduction_step { |
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224 | // void reduce(red_object* r, int l, int u); |
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225 | //}; |
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226 | struct find_erg{ |
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227 | poly expand; |
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228 | int expand_length; |
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229 | int to_reduce_u; |
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230 | int to_reduce_l; |
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231 | int reduce_by;//index of reductor |
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232 | BOOLEAN fromS;//else from los |
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233 | |
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234 | }; |
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235 | |
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236 | static void multi_reduce_step(find_erg & erg, red_object* r, calc_dat* c); |
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237 | static void finalize_reduction_step(reduction_step* r); |
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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 | |
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243 | |
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244 | #endif |
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