source: git/kernel/tgb_internal.h @ 03f3269

fieker-DuValspielwiese
Last change on this file since 03f3269 was 470dd9, checked in by Michael Brickenstein <bricken@…>, 18 years ago
*bricken: initial quality git-svn-id: file:///usr/local/Singular/svn/trunk@8832 2c84dea3-7e68-4137-9b89-c4e89433aadc
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1#ifndef TGB_INTERNAL_H
2#define TGB_INTERNAL_H
3//!\file tgb_internal.h
4/****************************************
5*  Computer Algebra System SINGULAR     *
6****************************************/
7/* $Id: tgb_internal.h,v 1.21 2005-12-08 09:00:20 bricken Exp $ */
8/*
9 * ABSTRACT: tgb internal .h file
10*/
11#include <omalloc.h>
12#include "p_polys.h"
13
14#include "ideals.h"
15#include "ring.h"
16#include "febase.h"
17#include "structs.h"
18#include "polys.h"
19#include "stdlib.h"
20
21
22#include "kutil.h"
23#include "kInline.cc"
24#include "kstd1.h"
25#include "kbuckets.h"
26
27
28
29
30//#define TGB_DEBUG
31#define FULLREDUCTIONS
32#define HANS_IDEA
33//#define HALFREDUCTIONS
34//#define HEAD_BIN
35//#define HOMOGENEOUS_EXAMPLE
36#define REDTAIL_S
37#define PAR_N 100
38#define PAR_N_F4 5000
39#define AC_NEW_MIN 2
40#define AC_FLATTEN 1
41
42//#define FIND_DETERMINISTIC
43//#define REDTAIL_PROT
44//#define QUICK_SPOLY_TEST
45struct sorted_pair_node{
46  //criterium, which is stable 0. small lcm 1. small i 2. small j
47  int i;
48  int j;
49  int deg;
50  int expected_length;
51  poly lcm_of_lm;
52};
53
54
55//static ideal debug_Ideal;
56
57
58struct poly_list_node{
59  poly p;
60  poly_list_node* next;
61};
62
63struct int_pair_node{
64  int_pair_node* next;
65  int a;
66  int b;
67};
68struct monom_poly{
69  poly m;
70  poly f;
71};
72struct mp_array_list{
73  monom_poly* mp;
74  int size;
75  mp_array_list* next;
76};
77
78
79struct poly_array_list{
80  poly* p;
81  int size;
82  poly_array_list* next;
83};
84class slimgb_alg
85{
86  public:
87    slimgb_alg(ideal I, BOOLEAN F4);
88    virtual ~slimgb_alg();
89  char** states;
90  ideal S;
91  ring r;
92  int* lengths;
93  long* short_Exps;
94  kStrategy strat;
95  int* T_deg;
96  int* T_deg_full;
97  poly tmp_lm;
98  poly* tmp_pair_lm;
99  sorted_pair_node** tmp_spn;
100  poly* expandS;
101  poly* gcd_of_terms;
102  int_pair_node* soon_free;
103  sorted_pair_node** apairs;
104  BOOLEAN* modifiedS;
105  poly_list_node* to_destroy;
106  //for F4
107  mp_array_list* F;
108  poly_array_list* F_minus;
109
110  //end for F4
111#ifdef HEAD_BIN
112  struct omBin_s*   HeadBin;
113#endif
114  unsigned int reduction_steps;
115  int n;
116  //! array_lengths should be greater equal n;
117  int array_lengths; 
118  int normal_forms;
119  int current_degree;
120  int Rcounter;
121  int last_index;
122  int max_pairs;
123  int pair_top;
124  int easy_product_crit;
125  int extended_product_crit;
126  int average_length;
127  BOOLEAN is_char0;
128  BOOLEAN is_homog;
129  BOOLEAN doubleSugar;
130  BOOLEAN F4_mode;
131  BOOLEAN nc;
132};
133class red_object{
134 public:
135  kBucket_pt bucket;
136  poly p;
137  unsigned long sev;
138  void flatten();
139  void validate();
140  wlen_type initial_quality;
141  void adjust_coefs(number c_r, number c_ac_r);
142  wlen_type guess_quality(slimgb_alg* c);
143  int clear_to_poly();
144  void canonicalize();
145};
146
147
148enum calc_state
149  {
150    UNCALCULATED,
151    HASTREP,
152    UNIMPORTANT,
153    SOONTREP
154  };
155template <class len_type, class set_type>  int pos_helper(kStrategy strat, poly p, len_type len, set_type setL, polyset set);
156static int add_to_reductors(slimgb_alg* c, poly h, int len);
157static int bucket_guess(kBucket* bucket);
158static poly redNFTail (poly h,const int sl,kStrategy strat, int len);
159static poly redNF2 (poly h,slimgb_alg* c , int &len, number&  m,int n=0);
160void free_sorted_pair_node(sorted_pair_node* s, ring r);
161static void shorten_tails(slimgb_alg* c, poly monom);
162static void replace_pair(int & i, int & j, slimgb_alg* c);
163//static sorted_pair_node** add_to_basis(poly h, int i, int j,slimgb_alg* c, int* ip=NULL);
164static void do_this_spoly_stuff(int i,int j,slimgb_alg* c);
165//ideal t_rep_gb(ring r,ideal arg_I);
166static BOOLEAN has_t_rep(const int & arg_i, const int & arg_j, slimgb_alg* state);
167static int* make_connections(int from, poly bound, slimgb_alg* c);
168static int* make_connections(int from, int to, poly bound, slimgb_alg* c);
169void now_t_rep(const int & arg_i, const int & arg_j, slimgb_alg* c);
170static void soon_t_rep(const int & arg_i, const int & arg_j, slimgb_alg* c);
171static int pLcmDeg(poly a, poly b);
172static int simple_posInS (kStrategy strat, poly p,int len, wlen_type wlen);
173static BOOLEAN find_next_pair(slimgb_alg* c, BOOLEAN go_higher=TRUE);
174
175static sorted_pair_node* pop_pair(slimgb_alg* c);
176static BOOLEAN no_pairs(slimgb_alg* c);
177void clean_top_of_pair_list(slimgb_alg* c);
178static void super_clean_top_of_pair_list(slimgb_alg* c);
179static BOOLEAN state_is(calc_state state, const int & i, const int & j, slimgb_alg* c);
180static BOOLEAN pair_better(sorted_pair_node* a,sorted_pair_node* b, slimgb_alg* c);
181static int tgb_pair_better_gen(const void* ap,const void* bp);
182static poly redTailShort(poly h, kStrategy strat);
183static poly gcd_of_terms(poly p, ring r);
184static BOOLEAN extended_product_criterion(poly p1, poly gcd1, poly p2, poly gcd2, slimgb_alg* c);
185static poly kBucketGcd(kBucket* b, ring r);
186static void multi_reduction(red_object* los, int & losl, slimgb_alg* c);
187sorted_pair_node* quick_pop_pair(slimgb_alg* c);
188sorted_pair_node* top_pair(slimgb_alg* c);
189sorted_pair_node** add_to_basis_ideal_quotient(poly h, int i_pos, int j_pos,slimgb_alg* c, int* ip);
190sorted_pair_node**  spn_merge(sorted_pair_node** p, int pn,sorted_pair_node **q, int qn,slimgb_alg* c);
191int kFindDivisibleByInS_easy(kStrategy strat,const red_object & obj);
192int tgb_pair_better_gen2(const void* ap,const void* bp);
193int kFindDivisibleByInS_easy(kStrategy strat,poly p, long sev);
194//static int quality(poly p, int len, slimgb_alg* c);
195/**
196   makes on each red_object in a region a single_step
197 **/
198class reduction_step{
199 public:
200  /// we assume hat all occuring red_objects have same lm, and all
201  /// occ. lm's in r[l...u] are the same, only reductor does not occur
202  virtual void reduce(red_object* r, int l, int u);
203  //int reduction_id;
204  virtual ~reduction_step();
205  slimgb_alg* c;
206  int reduction_id;
207};
208class simple_reducer:public reduction_step{
209 public:
210  poly p;
211  kBucket_pt fill_back;
212  int p_len;
213  simple_reducer(poly p, int p_len, slimgb_alg* c =NULL){
214    this->p=p;
215    assume(p_len==pLength(p));
216    this->p_len=p_len;
217    this->c=c;
218  }
219  virtual void pre_reduce(red_object* r, int l, int u);
220  virtual void reduce(red_object* r, int l, int u);
221  ~simple_reducer();
222
223
224  virtual void do_reduce(red_object & ro);
225};
226
227//class sum_canceling_reducer:public reduction_step {
228//  void reduce(red_object* r, int l, int u);
229//};
230struct find_erg{
231  poly expand;
232  int expand_length;
233  int to_reduce_u;
234  int to_reduce_l;
235  int reduce_by;//index of reductor
236  BOOLEAN fromS;//else from los
237
238};
239
240static void multi_reduce_step(find_erg & erg, red_object* r, slimgb_alg* c);
241static void finalize_reduction_step(reduction_step* r);
242
243template <class len_type, class set_type>  int pos_helper(kStrategy strat, poly p, len_type len, set_type setL, polyset set){
244  //Print("POSHELER:%d",sizeof(wlen_type));
245  int length=strat->sl;
246  int i;
247  int an = 0;
248  int en= length;
249
250  if ((len>setL[length])
251      || ((len==setL[length]) && (pLmCmp(set[length],p)== -1)))
252    return length+1;
253
254  loop
255  {
256    if (an >= en-1)
257    {
258      if ((len<setL[an])
259          || ((len==setL[an]) && (pLmCmp(set[an],p) == 1))) return an;
260      return en;
261    }
262    i=(an+en) / 2;
263    if ((len<setL[i])
264        || ((len==setL[i]) && (pLmCmp(set[i],p) == 1))) en=i;
265    //else if ((len>setL[i])
266    //|| ((len==setL[i]) && (pLmCmp(set[i],p) == -1))) an=i;
267    else an=i;
268  }
269
270}
271
272
273
274
275
276#endif
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