[b553e5] | 1 | //! \file tgb.cc |
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[4f858ce] | 2 | // multiple rings |
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| 3 | // shorten_tails und dessen Aufrufe pruefen wlength!!! |
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[6b9532] | 4 | /**************************************** |
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| 5 | * Computer Algebra System SINGULAR * |
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| 6 | ****************************************/ |
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[341696] | 7 | /* $Id$ */ |
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[6b9532] | 8 | /* |
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| 9 | * ABSTRACT: slimgb and F4 implementation |
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| 10 | */ |
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[f0d1e8] | 11 | //#include <vector> |
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| 12 | //using namespace std; |
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[d64382] | 13 | |
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[731d628] | 14 | ///@TODO: delay nur auf Sugarvergr?erung |
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[d64382] | 15 | ///@TODO: grade aus ecartS, setze dazu strat->honey; und nutze p.ecart |
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[731d628] | 16 | ///@TODO: no tail reductions in syz comp |
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[599326] | 17 | #include <kernel/mod2.h> |
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| 18 | #include <kernel/tgb.h> |
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| 19 | #include <kernel/tgb_internal.h> |
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| 20 | #include <kernel/tgbgauss.h> |
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[fb0a2c0] | 21 | |
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[f478f5b] | 22 | #include <misc/options.h> |
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[599326] | 23 | #include <kernel/digitech.h> |
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[210e07] | 24 | #include <polys/nc/nc.h> |
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[76cfef] | 25 | #include <polys/nc/sca.h> |
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| 26 | #include <polys/prCopy.h> |
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[599326] | 27 | #include <kernel/longrat.h> |
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[f478f5b] | 28 | #include <coeffs/modulop.h> |
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[b68048] | 29 | #include <stdlib.h> |
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| 30 | #include <stdio.h> |
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[b16a613] | 31 | #include <queue> |
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[cc4d094] | 32 | #define BUCKETS_FOR_NORO_RED 1 |
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[5bf76c] | 33 | #define SR_HDL(A) ((long)(A)) |
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[410ea0f] | 34 | static const int bundle_size = 100; |
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| 35 | static const int bundle_size_noro = 10000; |
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| 36 | static const int delay_factor = 3; |
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| 37 | int QlogSize (number n); |
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[1c6ea1] | 38 | #define ADD_LATER_SIZE 500 |
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[4f858ce] | 39 | #if 1 |
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[410ea0f] | 40 | static omBin lm_bin = NULL; |
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[3ea446] | 41 | |
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[db83bf] | 42 | static void simplify_poly (poly p, ring r) |
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[a0d9be] | 43 | { |
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[410ea0f] | 44 | assume (r == currRing); |
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[db83bf] | 45 | if(!rField_is_Zp (r)) |
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[410ea0f] | 46 | { |
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| 47 | p_Cleardenom (p, r); |
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| 48 | //p_Content(p,r); //is a duplicate call, but belongs here |
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| 49 | } |
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| 50 | else |
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| 51 | pNorm (p); |
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[3ea446] | 52 | } |
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[410ea0f] | 53 | |
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[03f3269] | 54 | //static const BOOLEAN up_to_radical=TRUE; |
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| 55 | |
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[db83bf] | 56 | int slim_nsize (number n, ring r) |
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[31279e] | 57 | { |
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[db83bf] | 58 | if(rField_is_Zp (r)) |
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[31279e] | 59 | { |
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| 60 | return 1; |
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| 61 | } |
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[db83bf] | 62 | if(rField_is_Q (r)) |
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[31279e] | 63 | { |
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[410ea0f] | 64 | return QlogSize (n); |
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[31279e] | 65 | } |
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| 66 | else |
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| 67 | { |
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[410ea0f] | 68 | return n_Size (n, r); |
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[6b4fbf7] | 69 | } |
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| 70 | } |
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[410ea0f] | 71 | |
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[db83bf] | 72 | static BOOLEAN monomial_root (poly m, ring r) |
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[2fc974] | 73 | { |
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[410ea0f] | 74 | BOOLEAN changed = FALSE; |
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| 75 | int i; |
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[db83bf] | 76 | for(i = 1; i <= rVar (r); i++) |
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[410ea0f] | 77 | { |
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| 78 | int e = p_GetExp (m, i, r); |
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[db83bf] | 79 | if(e > 1) |
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[2fc974] | 80 | { |
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[410ea0f] | 81 | p_SetExp (m, i, 1, r); |
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| 82 | changed = TRUE; |
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[03f3269] | 83 | } |
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[410ea0f] | 84 | } |
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[db83bf] | 85 | if(changed) |
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[410ea0f] | 86 | { |
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| 87 | p_Setm (m, r); |
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| 88 | } |
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| 89 | return changed; |
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[03f3269] | 90 | } |
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[410ea0f] | 91 | |
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[db83bf] | 92 | static BOOLEAN polynomial_root (poly h, ring r) |
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[2fc974] | 93 | { |
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[410ea0f] | 94 | poly got = gcd_of_terms (h, r); |
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| 95 | BOOLEAN changed = FALSE; |
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[db83bf] | 96 | if((got != NULL) && (TEST_V_UPTORADICAL)) |
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[410ea0f] | 97 | { |
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| 98 | poly copy = p_Copy (got, r); |
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[03f3269] | 99 | //p_wrp(got,c->r); |
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[410ea0f] | 100 | changed = monomial_root (got, r); |
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[db83bf] | 101 | if(changed) |
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[03f3269] | 102 | { |
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[410ea0f] | 103 | poly div_by = pDivide (copy, got); |
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| 104 | poly iter = h; |
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[db83bf] | 105 | while(iter) |
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[410ea0f] | 106 | { |
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[db83bf] | 107 | pExpVectorSub (iter, div_by); |
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| 108 | pIter (iter); |
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[410ea0f] | 109 | } |
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| 110 | p_Delete (&div_by, r); |
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[db83bf] | 111 | if(TEST_OPT_PROT) |
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| 112 | PrintS ("U"); |
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[03f3269] | 113 | } |
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[410ea0f] | 114 | p_Delete (©, r); |
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[03f3269] | 115 | } |
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[410ea0f] | 116 | p_Delete (&got, r); |
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[03f3269] | 117 | return changed; |
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| 118 | } |
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[410ea0f] | 119 | |
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[db83bf] | 120 | static inline poly p_Init_Special (const ring r) |
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[4f858ce] | 121 | { |
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[410ea0f] | 122 | return p_Init (r, lm_bin); |
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[4f858ce] | 123 | } |
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[410ea0f] | 124 | |
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[db83bf] | 125 | static inline poly pOne_Special (const ring r = currRing) |
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[4f858ce] | 126 | { |
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[410ea0f] | 127 | poly rc = p_Init_Special (r); |
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| 128 | pSetCoeff0 (rc, n_Init (1, r)); |
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[4f858ce] | 129 | return rc; |
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| 130 | } |
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[410ea0f] | 131 | |
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[4f858ce] | 132 | // zum Initialiseren: in t_rep_gb plazieren: |
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| 133 | |
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| 134 | #endif |
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| 135 | #define LEN_VAR3 |
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| 136 | #define degbound(p) assume(pTotaldegree(p)<10) |
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| 137 | //#define inDebug(p) assume((debug_Ideal==NULL)||(kNF(debug_Ideal,NULL,p,0,0)==0)) |
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| 138 | |
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| 139 | //die meisten Varianten stossen sich an coef_buckets |
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[9cd599] | 140 | |
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[4f858ce] | 141 | #ifdef LEN_VAR1 |
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| 142 | // erste Variante: Laenge: Anzahl der Monome |
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[db83bf] | 143 | static inline int pSLength (poly p, int l) |
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[410ea0f] | 144 | { |
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| 145 | return l; |
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| 146 | } |
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| 147 | |
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[db83bf] | 148 | static inline int kSBucketLength (kBucket * bucket, poly lm) |
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[410ea0f] | 149 | { |
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| 150 | return bucket_guess (bucket); |
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| 151 | } |
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[4f858ce] | 152 | #endif |
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| 153 | |
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| 154 | #ifdef LEN_VAR2 |
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| 155 | // 2. Variante: Laenge: Platz fuer die Koeff. |
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[db83bf] | 156 | int pSLength (poly p, int l) |
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[4f858ce] | 157 | { |
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[410ea0f] | 158 | int s = 0; |
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[db83bf] | 159 | while(p != NULL) |
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[410ea0f] | 160 | { |
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| 161 | s += nSize (pGetCoeff (p)); |
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| 162 | pIter (p); |
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| 163 | } |
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[4f858ce] | 164 | return s; |
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| 165 | } |
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[410ea0f] | 166 | |
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[db83bf] | 167 | int kSBucketLength (kBucket * b, poly lm) |
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[4f858ce] | 168 | { |
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[410ea0f] | 169 | int s = 0; |
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[4f858ce] | 170 | int i; |
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[db83bf] | 171 | for(i = MAX_BUCKET; i >= 0; i--) |
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[4f858ce] | 172 | { |
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[410ea0f] | 173 | s += pSLength (b->buckets[i], 0); |
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[4f858ce] | 174 | } |
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| 175 | return s; |
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| 176 | } |
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| 177 | #endif |
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| 178 | |
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[db83bf] | 179 | int QlogSize (number n) |
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[2fc974] | 180 | { |
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[db83bf] | 181 | if(SR_HDL (n) & SR_INT) |
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[410ea0f] | 182 | { |
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| 183 | long i = SR_TO_INT (n); |
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[db83bf] | 184 | if(i == 0) |
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[410ea0f] | 185 | return 0; |
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[31279e] | 186 | |
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[410ea0f] | 187 | unsigned long v; |
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| 188 | v = (i >= 0) ? i : -i; |
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| 189 | int r = 0; |
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[5bf76c] | 190 | |
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[db83bf] | 191 | while(v >>= 1) |
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[410ea0f] | 192 | { |
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| 193 | r++; |
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[5bf76c] | 194 | } |
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[410ea0f] | 195 | return r + 1; |
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| 196 | } |
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| 197 | //assume denominator is 0 |
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| 198 | return mpz_sizeinbase (n->z, 2); |
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[5bf76c] | 199 | } |
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| 200 | |
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[9cd599] | 201 | #ifdef LEN_VAR3 |
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[db83bf] | 202 | static inline wlen_type pSLength (poly p, int l) |
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[4f858ce] | 203 | { |
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[ca4a891] | 204 | wlen_type c; |
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[410ea0f] | 205 | number coef = pGetCoeff (p); |
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[db83bf] | 206 | if(rField_is_Q (currRing)) |
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[2fc974] | 207 | { |
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[410ea0f] | 208 | c = QlogSize (coef); |
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[1821d6] | 209 | } |
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| 210 | else |
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[410ea0f] | 211 | c = nSize (coef); |
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[db83bf] | 212 | if(!(TEST_V_COEFSTRAT)) |
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| 213 | { |
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[410ea0f] | 214 | return (wlen_type) c *(wlen_type) l /*pLength(p) */ ; |
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[db83bf] | 215 | } |
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[2fc974] | 216 | else |
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| 217 | { |
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[410ea0f] | 218 | wlen_type res = l; |
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| 219 | res *= c; |
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| 220 | res *= c; |
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[1c6ea1] | 221 | return res; |
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| 222 | } |
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[4f858ce] | 223 | } |
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[410ea0f] | 224 | |
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[5a9e7b] | 225 | //! TODO CoefBuckets bercksichtigen |
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[db83bf] | 226 | wlen_type kSBucketLength (kBucket * b, poly lm = NULL) |
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[4f858ce] | 227 | { |
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[410ea0f] | 228 | int s = 0; |
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[ca4a891] | 229 | wlen_type c; |
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[1821d6] | 230 | number coef; |
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[db83bf] | 231 | if(lm == NULL) |
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[410ea0f] | 232 | coef = pGetCoeff (kBucketGetLm (b)); |
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| 233 | //c=nSize(pGetCoeff(kBucketGetLm(b))); |
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[1821d6] | 234 | else |
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[410ea0f] | 235 | coef = pGetCoeff (lm); |
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| 236 | //c=nSize(pGetCoeff(lm)); |
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[db83bf] | 237 | if(rField_is_Q (currRing)) |
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[2fc974] | 238 | { |
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[410ea0f] | 239 | c = QlogSize (coef); |
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[1821d6] | 240 | } |
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[4f858ce] | 241 | else |
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[410ea0f] | 242 | c = nSize (coef); |
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[31279e] | 243 | |
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[4f858ce] | 244 | int i; |
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[db83bf] | 245 | for(i = b->buckets_used; i >= 0; i--) |
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[4f858ce] | 246 | { |
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[410ea0f] | 247 | assume ((b->buckets_length[i] == 0) || (b->buckets[i] != NULL)); |
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| 248 | s += b->buckets_length[i] /*pLength(b->buckets[i]) */ ; |
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[4f858ce] | 249 | } |
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[410ea0f] | 250 | #ifdef HAVE_COEF_BUCKETS |
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| 251 | assume (b->buckets[0] == kBucketGetLm (b)); |
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[db83bf] | 252 | if(b->coef[0] != NULL) |
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[2fc974] | 253 | { |
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[db83bf] | 254 | if(rField_is_Q (currRing)) |
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[2fc974] | 255 | { |
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[410ea0f] | 256 | int modifier = QlogSize (pGetCoeff (b->coef[0])); |
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| 257 | c += modifier; |
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[2fc974] | 258 | } |
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| 259 | else |
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| 260 | { |
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[410ea0f] | 261 | int modifier = nSize (pGetCoeff (b->coef[0])); |
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| 262 | c *= modifier; |
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[1821d6] | 263 | } |
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[2fc974] | 264 | } |
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[410ea0f] | 265 | #endif |
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[db83bf] | 266 | if(!(TEST_V_COEFSTRAT)) |
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[2fc974] | 267 | { |
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[410ea0f] | 268 | return s * c; |
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[2fc974] | 269 | } |
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| 270 | else |
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[1c6ea1] | 271 | { |
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[410ea0f] | 272 | wlen_type res = s; |
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| 273 | res *= c; |
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| 274 | res *= c; |
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[1c6ea1] | 275 | return res; |
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| 276 | } |
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[4f858ce] | 277 | } |
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| 278 | #endif |
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[9cd599] | 279 | #ifdef LEN_VAR5 |
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[db83bf] | 280 | static inline wlen_type pSLength (poly p, int l) |
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[9cd599] | 281 | { |
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| 282 | int c; |
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[410ea0f] | 283 | number coef = pGetCoeff (p); |
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[db83bf] | 284 | if(rField_is_Q (currRing)) |
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[2fc974] | 285 | { |
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[410ea0f] | 286 | c = QlogSize (coef); |
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[9cd599] | 287 | } |
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| 288 | else |
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[410ea0f] | 289 | c = nSize (coef); |
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| 290 | wlen_type erg = l; |
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| 291 | erg *= c; |
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| 292 | erg *= c; |
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[9cd599] | 293 | //PrintS("lenvar 5"); |
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[410ea0f] | 294 | assume (erg >= 0); |
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| 295 | return erg; /*pLength(p) */ ; |
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[9cd599] | 296 | } |
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[410ea0f] | 297 | |
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[5a9e7b] | 298 | //! TODO CoefBuckets bercksichtigen |
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[db83bf] | 299 | wlen_type kSBucketLength (kBucket * b, poly lm = NULL) |
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[9cd599] | 300 | { |
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[410ea0f] | 301 | wlen_type s = 0; |
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[9cd599] | 302 | int c; |
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| 303 | number coef; |
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[db83bf] | 304 | if(lm == NULL) |
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[410ea0f] | 305 | coef = pGetCoeff (kBucketGetLm (b)); |
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| 306 | //c=nSize(pGetCoeff(kBucketGetLm(b))); |
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[9cd599] | 307 | else |
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[410ea0f] | 308 | coef = pGetCoeff (lm); |
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| 309 | //c=nSize(pGetCoeff(lm)); |
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[db83bf] | 310 | if(rField_is_Q (currRing)) |
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[2fc974] | 311 | { |
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[410ea0f] | 312 | c = QlogSize (coef); |
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[9cd599] | 313 | } |
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| 314 | else |
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[410ea0f] | 315 | c = nSize (coef); |
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[31279e] | 316 | |
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[9cd599] | 317 | int i; |
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[db83bf] | 318 | for(i = b->buckets_used; i >= 0; i--) |
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[9cd599] | 319 | { |
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[410ea0f] | 320 | assume ((b->buckets_length[i] == 0) || (b->buckets[i] != NULL)); |
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| 321 | s += b->buckets_length[i] /*pLength(b->buckets[i]) */ ; |
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[9cd599] | 322 | } |
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[410ea0f] | 323 | #ifdef HAVE_COEF_BUCKETS |
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| 324 | assume (b->buckets[0] == kBucketGetLm (b)); |
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[db83bf] | 325 | if(b->coef[0] != NULL) |
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[2fc974] | 326 | { |
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[db83bf] | 327 | if(rField_is_Q (currRing)) |
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[2fc974] | 328 | { |
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[410ea0f] | 329 | int modifier = QlogSize (pGetCoeff (b->coef[0])); |
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| 330 | c += modifier; |
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[2fc974] | 331 | } |
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| 332 | else |
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| 333 | { |
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[410ea0f] | 334 | int modifier = nSize (pGetCoeff (b->coef[0])); |
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| 335 | c *= modifier; |
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[9cd599] | 336 | } |
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[410ea0f] | 337 | } |
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| 338 | #endif |
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| 339 | wlen_type erg = s; |
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| 340 | erg *= c; |
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| 341 | erg *= c; |
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[9cd599] | 342 | return erg; |
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| 343 | } |
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| 344 | #endif |
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[4f858ce] | 345 | |
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| 346 | #ifdef LEN_VAR4 |
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| 347 | // 4.Variante: Laenge: Platz fuer Leitk * (1+Platz fuer andere Koeff.) |
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[db83bf] | 348 | int pSLength (poly p, int l) |
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[4f858ce] | 349 | { |
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[410ea0f] | 350 | int s = 1; |
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| 351 | int c = nSize (pGetCoeff (p)); |
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| 352 | pIter (p); |
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[db83bf] | 353 | while(p != NULL) |
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[410ea0f] | 354 | { |
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| 355 | s += nSize (pGetCoeff (p)); |
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| 356 | pIter (p); |
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| 357 | } |
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| 358 | return s * c; |
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[4f858ce] | 359 | } |
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[410ea0f] | 360 | |
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[db83bf] | 361 | int kSBucketLength (kBucket * b) |
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[4f858ce] | 362 | { |
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[410ea0f] | 363 | int s = 1; |
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| 364 | int c = nSize (pGetCoeff (kBucketGetLm (b))); |
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[4f858ce] | 365 | int i; |
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[db83bf] | 366 | for(i = MAX_BUCKET; i > 0; i--) |
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[4f858ce] | 367 | { |
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[db83bf] | 368 | if(b->buckets[i] == NULL) |
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[410ea0f] | 369 | continue; |
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| 370 | s += pSLength (b->buckets[i], 0); |
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[4f858ce] | 371 | } |
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[410ea0f] | 372 | return s * c; |
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[4f858ce] | 373 | } |
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| 374 | #endif |
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[bfcd46] | 375 | //BUG/TODO this stuff will fail on internal Schreyer orderings |
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[db83bf] | 376 | static BOOLEAN elength_is_normal_length (poly p, slimgb_alg * c) |
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[2fc974] | 377 | { |
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[410ea0f] | 378 | ring r = c->r; |
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[db83bf] | 379 | if(p_GetComp (p, r) != 0) |
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[410ea0f] | 380 | return FALSE; |
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[1f637e] | 381 | if(c->lastDpBlockStart <= (currRing->N)) |
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[410ea0f] | 382 | { |
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| 383 | int i; |
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[db83bf] | 384 | for(i = 1; i < c->lastDpBlockStart; i++) |
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[2fc974] | 385 | { |
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[db83bf] | 386 | if(p_GetExp (p, i, r) != 0) |
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[410ea0f] | 387 | { |
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[db83bf] | 388 | break; |
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[410ea0f] | 389 | } |
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| 390 | } |
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[db83bf] | 391 | if(i >= c->lastDpBlockStart) |
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[410ea0f] | 392 | { |
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| 393 | //wrp(p); |
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| 394 | //PrintS("\n"); |
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| 395 | return TRUE; |
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[2fc974] | 396 | } |
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| 397 | else |
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[410ea0f] | 398 | return FALSE; |
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| 399 | } |
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| 400 | else |
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[2921f5] | 401 | return FALSE; |
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| 402 | } |
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[f2b5839] | 403 | |
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[db83bf] | 404 | static BOOLEAN lies_in_last_dp_block (poly p, slimgb_alg * c) |
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[2fc974] | 405 | { |
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[410ea0f] | 406 | ring r = c->r; |
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[db83bf] | 407 | if(p_GetComp (p, r) != 0) |
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[410ea0f] | 408 | return FALSE; |
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[1f637e] | 409 | if(c->lastDpBlockStart <= (currRing->N)) |
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[410ea0f] | 410 | { |
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| 411 | int i; |
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[db83bf] | 412 | for(i = 1; i < c->lastDpBlockStart; i++) |
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[2fc974] | 413 | { |
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[db83bf] | 414 | if(p_GetExp (p, i, r) != 0) |
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[410ea0f] | 415 | { |
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[db83bf] | 416 | break; |
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[410ea0f] | 417 | } |
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| 418 | } |
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[db83bf] | 419 | if(i >= c->lastDpBlockStart) |
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[410ea0f] | 420 | { |
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| 421 | //wrp(p); |
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| 422 | //PrintS("\n"); |
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| 423 | return TRUE; |
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[2fc974] | 424 | } |
---|
| 425 | else |
---|
[410ea0f] | 426 | return FALSE; |
---|
| 427 | } |
---|
| 428 | else |
---|
[f2b5839] | 429 | return FALSE; |
---|
| 430 | } |
---|
| 431 | |
---|
[db83bf] | 432 | static int get_last_dp_block_start (ring r) |
---|
[2fc974] | 433 | { |
---|
[410ea0f] | 434 | //ring r=c->r; |
---|
| 435 | int last_block; |
---|
[5a9e7b] | 436 | |
---|
[db83bf] | 437 | if(rRing_has_CompLastBlock (r)) |
---|
[410ea0f] | 438 | { |
---|
| 439 | last_block = rBlocks (r) - 3; |
---|
| 440 | } |
---|
| 441 | else |
---|
| 442 | { |
---|
| 443 | last_block = rBlocks (r) - 2; |
---|
| 444 | } |
---|
| 445 | assume (last_block >= 0); |
---|
[db83bf] | 446 | if(r->order[last_block] == ringorder_dp) |
---|
[410ea0f] | 447 | return r->block0[last_block]; |
---|
[1f637e] | 448 | return (currRing->N) + 1; |
---|
[2921f5] | 449 | } |
---|
| 450 | |
---|
[db83bf] | 451 | static wlen_type do_pELength (poly p, slimgb_alg * c, int dlm = -1) |
---|
[2fc974] | 452 | { |
---|
[db83bf] | 453 | if(p == NULL) |
---|
[410ea0f] | 454 | return 0; |
---|
| 455 | wlen_type s = 0; |
---|
| 456 | poly pi = p; |
---|
[db83bf] | 457 | if(dlm < 0) |
---|
[2fc974] | 458 | { |
---|
[410ea0f] | 459 | dlm = c->pTotaldegree (p); |
---|
| 460 | s = 1; |
---|
| 461 | pi = p->next; |
---|
[4f858ce] | 462 | } |
---|
[31279e] | 463 | |
---|
[db83bf] | 464 | while(pi) |
---|
[2fc974] | 465 | { |
---|
[410ea0f] | 466 | int d = c->pTotaldegree (pi); |
---|
[db83bf] | 467 | if(d > dlm) |
---|
[410ea0f] | 468 | s += 1 + d - dlm; |
---|
[4f858ce] | 469 | else |
---|
| 470 | ++s; |
---|
[410ea0f] | 471 | pi = pi->next; |
---|
[4f858ce] | 472 | } |
---|
| 473 | return s; |
---|
| 474 | } |
---|
[e65be8e] | 475 | |
---|
[db83bf] | 476 | wlen_type pELength (poly p, slimgb_alg * c, ring r) |
---|
[2fc974] | 477 | { |
---|
[db83bf] | 478 | if(p == NULL) |
---|
[410ea0f] | 479 | return 0; |
---|
| 480 | wlen_type s = 0; |
---|
| 481 | poly pi = p; |
---|
[e65be8e] | 482 | int dlm; |
---|
[410ea0f] | 483 | dlm = c->pTotaldegree (p); |
---|
| 484 | s = 1; |
---|
| 485 | pi = p->next; |
---|
[31279e] | 486 | |
---|
[db83bf] | 487 | while(pi) |
---|
[2fc974] | 488 | { |
---|
[410ea0f] | 489 | int d = c->pTotaldegree (pi); |
---|
[db83bf] | 490 | if(d > dlm) |
---|
[410ea0f] | 491 | s += 1 + d - dlm; |
---|
[e65be8e] | 492 | else |
---|
| 493 | ++s; |
---|
[410ea0f] | 494 | pi = pi->next; |
---|
[e65be8e] | 495 | } |
---|
| 496 | return s; |
---|
| 497 | } |
---|
| 498 | |
---|
[db83bf] | 499 | wlen_type kEBucketLength (kBucket * b, poly lm, int sugar, slimgb_alg * ca) |
---|
[4f858ce] | 500 | { |
---|
[410ea0f] | 501 | wlen_type s = 0; |
---|
[db83bf] | 502 | if(lm == NULL) |
---|
[2fc974] | 503 | { |
---|
[410ea0f] | 504 | lm = kBucketGetLm (b); |
---|
[4f858ce] | 505 | } |
---|
[db83bf] | 506 | if(lm == NULL) |
---|
[410ea0f] | 507 | return 0; |
---|
[db83bf] | 508 | if(elength_is_normal_length (lm, ca)) |
---|
[2fc974] | 509 | { |
---|
[410ea0f] | 510 | return bucket_guess (b); |
---|
[2921f5] | 511 | } |
---|
[410ea0f] | 512 | int d = ca->pTotaldegree (lm); |
---|
| 513 | #if 0 |
---|
| 514 | assume (sugar >= d); |
---|
| 515 | s = 1 + (bucket_guess (b) - 1) * (sugar - d + 1); |
---|
[d64382] | 516 | return s; |
---|
[410ea0f] | 517 | #else |
---|
[5a9e7b] | 518 | |
---|
[d64382] | 519 | //int d=pTotaldegree(lm,ca->r); |
---|
[4f858ce] | 520 | int i; |
---|
[db83bf] | 521 | for(i = b->buckets_used; i >= 0; i--) |
---|
[4f858ce] | 522 | { |
---|
[db83bf] | 523 | if(b->buckets[i] == NULL) |
---|
[410ea0f] | 524 | continue; |
---|
[5a9e7b] | 525 | |
---|
[db83bf] | 526 | if((ca->pTotaldegree (b->buckets[i]) <= d) |
---|
| 527 | && (elength_is_normal_length (b->buckets[i], ca))) |
---|
[2fc974] | 528 | { |
---|
[410ea0f] | 529 | s += b->buckets_length[i]; |
---|
[2fc974] | 530 | } |
---|
| 531 | else |
---|
[2921f5] | 532 | { |
---|
[410ea0f] | 533 | s += do_pELength (b->buckets[i], ca, d); |
---|
[2921f5] | 534 | } |
---|
[4f858ce] | 535 | } |
---|
| 536 | return s; |
---|
[410ea0f] | 537 | #endif |
---|
[4f858ce] | 538 | } |
---|
| 539 | |
---|
[db83bf] | 540 | static inline int pELength (poly p, slimgb_alg * c, int l) |
---|
[2fc974] | 541 | { |
---|
[db83bf] | 542 | if(p == NULL) |
---|
[410ea0f] | 543 | return 0; |
---|
[db83bf] | 544 | if((l > 0) && (elength_is_normal_length (p, c))) |
---|
[2921f5] | 545 | return l; |
---|
[410ea0f] | 546 | return do_pELength (p, c); |
---|
[4f858ce] | 547 | } |
---|
[d491e3] | 548 | |
---|
[db83bf] | 549 | static inline wlen_type pQuality (poly p, slimgb_alg * c, int l = -1) |
---|
[2fc974] | 550 | { |
---|
[db83bf] | 551 | if(l < 0) |
---|
[410ea0f] | 552 | l = pLength (p); |
---|
[db83bf] | 553 | if(c->isDifficultField) |
---|
[410ea0f] | 554 | { |
---|
[db83bf] | 555 | if(c->eliminationProblem) |
---|
[2fc974] | 556 | { |
---|
[ca4a891] | 557 | wlen_type cs; |
---|
[410ea0f] | 558 | number coef = pGetCoeff (p); |
---|
[db83bf] | 559 | if(rField_is_Q (currRing)) |
---|
[2fc974] | 560 | { |
---|
[db83bf] | 561 | cs = QlogSize (coef); |
---|
[d491e3] | 562 | } |
---|
| 563 | else |
---|
[db83bf] | 564 | cs = nSize (coef); |
---|
[410ea0f] | 565 | wlen_type erg = cs; |
---|
[db83bf] | 566 | if(TEST_V_COEFSTRAT) |
---|
| 567 | erg *= cs; |
---|
[410ea0f] | 568 | //erg*=cs;//for quadratic |
---|
| 569 | erg *= pELength (p, c, l); |
---|
| 570 | //FIXME: not quadratic coeff size |
---|
[9cd599] | 571 | //return cs*pELength(p,c,l); |
---|
| 572 | return erg; |
---|
[d491e3] | 573 | } |
---|
[a610ee] | 574 | //PrintS("I am here"); |
---|
[410ea0f] | 575 | wlen_type r = pSLength (p, l); |
---|
| 576 | assume (r >= 0); |
---|
[9cd599] | 577 | return r; |
---|
[d491e3] | 578 | } |
---|
[db83bf] | 579 | if(c->eliminationProblem) |
---|
[410ea0f] | 580 | return pELength (p, c, l); |
---|
[4f858ce] | 581 | return l; |
---|
| 582 | } |
---|
[d491e3] | 583 | |
---|
[db83bf] | 584 | static inline int pTotaldegree_full (poly p) |
---|
[2fc974] | 585 | { |
---|
[410ea0f] | 586 | int r = 0; |
---|
[db83bf] | 587 | while(p) |
---|
[2fc974] | 588 | { |
---|
[410ea0f] | 589 | int d = pTotaldegree (p); |
---|
| 590 | r = si_max (r, d); |
---|
| 591 | pIter (p); |
---|
[4f858ce] | 592 | } |
---|
| 593 | return r; |
---|
| 594 | } |
---|
| 595 | |
---|
[db83bf] | 596 | wlen_type red_object::guess_quality (slimgb_alg * c) |
---|
[2fc974] | 597 | { |
---|
[410ea0f] | 598 | //works at the moment only for lenvar 1, because in different |
---|
| 599 | //case, you have to look on coefs |
---|
| 600 | wlen_type s = 0; |
---|
[db83bf] | 601 | if(c->isDifficultField) |
---|
[410ea0f] | 602 | { |
---|
| 603 | //s=kSBucketLength(bucket,this->p); |
---|
[db83bf] | 604 | if(c->eliminationProblem) |
---|
[2fc974] | 605 | { |
---|
[410ea0f] | 606 | wlen_type cs; |
---|
| 607 | number coef; |
---|
[31279e] | 608 | |
---|
[410ea0f] | 609 | coef = pGetCoeff (kBucketGetLm (bucket)); |
---|
| 610 | //c=nSize(pGetCoeff(kBucketGetLm(b))); |
---|
[31279e] | 611 | |
---|
[410ea0f] | 612 | //c=nSize(pGetCoeff(lm)); |
---|
[db83bf] | 613 | if(rField_is_Q (currRing)) |
---|
[2fc974] | 614 | { |
---|
[db83bf] | 615 | cs = QlogSize (coef); |
---|
[e4e1c2a] | 616 | } |
---|
[2fc974] | 617 | else |
---|
[db83bf] | 618 | cs = nSize (coef); |
---|
[410ea0f] | 619 | #ifdef HAVE_COEF_BUCKETS |
---|
[db83bf] | 620 | if(bucket->coef[0] != NULL) |
---|
[2fc974] | 621 | { |
---|
[db83bf] | 622 | if(rField_is_Q (currRing)) |
---|
| 623 | { |
---|
| 624 | int modifier = QlogSize (pGetCoeff (bucket->coef[0])); |
---|
| 625 | cs += modifier; |
---|
| 626 | } |
---|
| 627 | else |
---|
| 628 | { |
---|
| 629 | int modifier = nSize (pGetCoeff (bucket->coef[0])); |
---|
| 630 | cs *= modifier; |
---|
| 631 | } |
---|
[d491e3] | 632 | } |
---|
[410ea0f] | 633 | #endif |
---|
| 634 | //FIXME:not quadratic |
---|
| 635 | wlen_type erg = kEBucketLength (this->bucket, this->p, this->sugar, c); |
---|
| 636 | //erg*=cs;//for quadratic |
---|
| 637 | erg *= cs; |
---|
[db83bf] | 638 | if(TEST_V_COEFSTRAT) |
---|
| 639 | erg *= cs; |
---|
[410ea0f] | 640 | //return cs*kEBucketLength(this->bucket,this->p,c); |
---|
| 641 | return erg; |
---|
[d491e3] | 642 | } |
---|
[410ea0f] | 643 | s = kSBucketLength (bucket, NULL); |
---|
| 644 | } |
---|
| 645 | else |
---|
| 646 | { |
---|
[db83bf] | 647 | if(c->eliminationProblem) |
---|
[410ea0f] | 648 | //if (false) |
---|
| 649 | s = kEBucketLength (this->bucket, this->p, this->sugar, c); |
---|
[31279e] | 650 | else |
---|
[410ea0f] | 651 | s = bucket_guess (bucket); |
---|
| 652 | } |
---|
| 653 | return s; |
---|
[4f858ce] | 654 | } |
---|
[d491e3] | 655 | |
---|
[db83bf] | 656 | #if 0 //currently unused |
---|
| 657 | static void finalize_reduction_step (reduction_step * r) |
---|
[2fc974] | 658 | { |
---|
[4f858ce] | 659 | delete r; |
---|
| 660 | } |
---|
[a41623] | 661 | #endif |
---|
[db83bf] | 662 | #if 0 //currently unused |
---|
| 663 | static int LObject_better_gen (const void *ap, const void *bp) |
---|
[4f858ce] | 664 | { |
---|
[410ea0f] | 665 | LObject *a = *(LObject **) ap; |
---|
| 666 | LObject *b = *(LObject **) bp; |
---|
| 667 | return (pLmCmp (a->p, b->p)); |
---|
[4f858ce] | 668 | } |
---|
[a41623] | 669 | #endif |
---|
[db83bf] | 670 | static int red_object_better_gen (const void *ap, const void *bp) |
---|
[4f858ce] | 671 | { |
---|
[410ea0f] | 672 | return (pLmCmp (((red_object *) ap)->p, ((red_object *) bp)->p)); |
---|
[4f858ce] | 673 | } |
---|
| 674 | |
---|
[db83bf] | 675 | #if 0 //currently unused |
---|
| 676 | static int pLmCmp_func_inverted (const void *ap1, const void *ap2) |
---|
[2fc974] | 677 | { |
---|
[410ea0f] | 678 | poly p1, p2; |
---|
| 679 | p1 = *((poly *) ap1); |
---|
| 680 | p2 = *((poly *) ap2); |
---|
| 681 | return -pLmCmp (p1, p2); |
---|
[4f858ce] | 682 | } |
---|
[a41623] | 683 | #endif |
---|
[4f858ce] | 684 | |
---|
[db83bf] | 685 | int tgb_pair_better_gen2 (const void *ap, const void *bp) |
---|
[2fc974] | 686 | { |
---|
[410ea0f] | 687 | return (-tgb_pair_better_gen (ap, bp)); |
---|
[4f858ce] | 688 | } |
---|
[410ea0f] | 689 | |
---|
[db83bf] | 690 | int kFindDivisibleByInS_easy (kStrategy strat, const red_object & obj) |
---|
[2fc974] | 691 | { |
---|
[4f858ce] | 692 | int i; |
---|
[410ea0f] | 693 | long not_sev = ~obj.sev; |
---|
| 694 | poly p = obj.p; |
---|
[db83bf] | 695 | for(i = 0; i <= strat->sl; i++) |
---|
[2fc974] | 696 | { |
---|
[db83bf] | 697 | if(pLmShortDivisibleBy (strat->S[i], strat->sevS[i], p, not_sev)) |
---|
[4f858ce] | 698 | return i; |
---|
| 699 | } |
---|
| 700 | return -1; |
---|
| 701 | } |
---|
[410ea0f] | 702 | |
---|
[db83bf] | 703 | int kFindDivisibleByInS_easy (kStrategy strat, poly p, long sev) |
---|
[2fc974] | 704 | { |
---|
[4f858ce] | 705 | int i; |
---|
[410ea0f] | 706 | long not_sev = ~sev; |
---|
[db83bf] | 707 | for(i = 0; i <= strat->sl; i++) |
---|
[2fc974] | 708 | { |
---|
[db83bf] | 709 | if(pLmShortDivisibleBy (strat->S[i], strat->sevS[i], p, not_sev)) |
---|
[4f858ce] | 710 | return i; |
---|
| 711 | } |
---|
| 712 | return -1; |
---|
| 713 | } |
---|
[410ea0f] | 714 | |
---|
| 715 | static int |
---|
| 716 | posInPairs (sorted_pair_node ** p, int pn, sorted_pair_node * qe, |
---|
[db83bf] | 717 | slimgb_alg * c, int an = 0) |
---|
[4f858ce] | 718 | { |
---|
[db83bf] | 719 | if(pn == 0) |
---|
[410ea0f] | 720 | return 0; |
---|
[4f858ce] | 721 | |
---|
[410ea0f] | 722 | int length = pn - 1; |
---|
[4f858ce] | 723 | int i; |
---|
| 724 | //int an = 0; |
---|
[410ea0f] | 725 | int en = length; |
---|
[4f858ce] | 726 | |
---|
[db83bf] | 727 | if(pair_better (qe, p[en], c)) |
---|
[410ea0f] | 728 | return length + 1; |
---|
[4f858ce] | 729 | |
---|
[db83bf] | 730 | while(1) |
---|
[410ea0f] | 731 | { |
---|
| 732 | //if (an >= en-1) |
---|
[db83bf] | 733 | if(en - 1 <= an) |
---|
[4f858ce] | 734 | { |
---|
[db83bf] | 735 | if(pair_better (p[an], qe, c)) |
---|
| 736 | return an; |
---|
[410ea0f] | 737 | return en; |
---|
[4f858ce] | 738 | } |
---|
[410ea0f] | 739 | i = (an + en) / 2; |
---|
[db83bf] | 740 | if(pair_better (p[i], qe, c)) |
---|
[410ea0f] | 741 | en = i; |
---|
| 742 | else |
---|
| 743 | an = i; |
---|
| 744 | } |
---|
[4f858ce] | 745 | } |
---|
| 746 | |
---|
[db83bf] | 747 | static BOOLEAN ascending (int *i, int top) |
---|
[2fc974] | 748 | { |
---|
[db83bf] | 749 | if(top < 1) |
---|
[410ea0f] | 750 | return TRUE; |
---|
[db83bf] | 751 | if(i[top] < i[top - 1]) |
---|
[410ea0f] | 752 | return FALSE; |
---|
| 753 | return ascending (i, top - 1); |
---|
[4f858ce] | 754 | } |
---|
| 755 | |
---|
[db83bf] | 756 | sorted_pair_node **spn_merge (sorted_pair_node ** p, int pn, |
---|
| 757 | sorted_pair_node ** q, int qn, slimgb_alg * c) |
---|
[2fc974] | 758 | { |
---|
[4f858ce] | 759 | int i; |
---|
[410ea0f] | 760 | int *a = (int *) omalloc (qn * sizeof (int)); |
---|
[4f858ce] | 761 | // int mc; |
---|
| 762 | // PrintS("Debug\n"); |
---|
| 763 | // for(mc=0;mc<qn;mc++) |
---|
| 764 | // { |
---|
| 765 | // wrp(q[mc]->lcm_of_lm); |
---|
| 766 | // PrintS("\n"); |
---|
| 767 | // } |
---|
| 768 | // PrintS("Debug they are in\n"); |
---|
| 769 | // for(mc=0;mc<pn;mc++) |
---|
| 770 | // { |
---|
| 771 | // wrp(p[mc]->lcm_of_lm); |
---|
| 772 | // PrintS("\n"); |
---|
| 773 | // } |
---|
[410ea0f] | 774 | int lastpos = 0; |
---|
[db83bf] | 775 | for(i = 0; i < qn; i++) |
---|
[2fc974] | 776 | { |
---|
[410ea0f] | 777 | lastpos = posInPairs (p, pn, q[i], c, si_max (lastpos - 1, 0)); |
---|
[4f858ce] | 778 | // cout<<lastpos<<"\n"; |
---|
[410ea0f] | 779 | a[i] = lastpos; |
---|
[4f858ce] | 780 | } |
---|
[db83bf] | 781 | if((pn + qn) > c->max_pairs) |
---|
[2fc974] | 782 | { |
---|
[410ea0f] | 783 | p = |
---|
| 784 | (sorted_pair_node **) omrealloc (p, |
---|
[db83bf] | 785 | 2 * (pn + |
---|
| 786 | qn) * |
---|
| 787 | sizeof (sorted_pair_node *)); |
---|
[410ea0f] | 788 | c->max_pairs = 2 * (pn + qn); |
---|
[4f858ce] | 789 | } |
---|
[db83bf] | 790 | for(i = qn - 1; i >= 0; i--) |
---|
[2fc974] | 791 | { |
---|
[4f858ce] | 792 | size_t size; |
---|
[db83bf] | 793 | if(qn - 1 > i) |
---|
[410ea0f] | 794 | size = (a[i + 1] - a[i]) * sizeof (sorted_pair_node *); |
---|
[4f858ce] | 795 | else |
---|
[db83bf] | 796 | size = (pn - a[i]) * sizeof (sorted_pair_node *); //as indices begin with 0 |
---|
[410ea0f] | 797 | memmove (p + a[i] + (1 + i), p + a[i], size); |
---|
| 798 | p[a[i] + i] = q[i]; |
---|
[4f858ce] | 799 | } |
---|
[410ea0f] | 800 | omfree (a); |
---|
[4f858ce] | 801 | return p; |
---|
| 802 | } |
---|
| 803 | |
---|
[410ea0f] | 804 | static BOOLEAN |
---|
| 805 | trivial_syzygie (int pos1, int pos2, poly bound, slimgb_alg * c) |
---|
[2fc974] | 806 | { |
---|
[410ea0f] | 807 | poly p1 = c->S->m[pos1]; |
---|
| 808 | poly p2 = c->S->m[pos2]; |
---|
[31279e] | 809 | |
---|
[db83bf] | 810 | if(pGetComp (p1) > 0 || pGetComp (p2) > 0) |
---|
[4f858ce] | 811 | return FALSE; |
---|
| 812 | int i = 1; |
---|
[410ea0f] | 813 | poly m = NULL; |
---|
| 814 | poly gcd1 = c->gcd_of_terms[pos1]; |
---|
| 815 | poly gcd2 = c->gcd_of_terms[pos2]; |
---|
[31279e] | 816 | |
---|
[db83bf] | 817 | if((gcd1 != NULL) && (gcd2 != NULL)) |
---|
[2fc974] | 818 | { |
---|
[db83bf] | 819 | gcd1->next = gcd2; //may ordered incorrect |
---|
[410ea0f] | 820 | m = gcd_of_terms (gcd1, c->r); |
---|
| 821 | gcd1->next = NULL; |
---|
[2fc974] | 822 | } |
---|
[db83bf] | 823 | if(m == NULL) |
---|
[4f858ce] | 824 | { |
---|
[410ea0f] | 825 | loop |
---|
| 826 | { |
---|
[db83bf] | 827 | if(pGetExp (p1, i) + pGetExp (p2, i) > pGetExp (bound, i)) |
---|
| 828 | return FALSE; |
---|
[1f637e] | 829 | if(i == (currRing->N)) |
---|
[4f858ce] | 830 | { |
---|
[db83bf] | 831 | //PrintS("trivial"); |
---|
| 832 | return TRUE; |
---|
[4f858ce] | 833 | } |
---|
[410ea0f] | 834 | i++; |
---|
| 835 | } |
---|
[4f858ce] | 836 | } |
---|
[31279e] | 837 | else |
---|
[4f858ce] | 838 | { |
---|
| 839 | loop |
---|
[410ea0f] | 840 | { |
---|
[db83bf] | 841 | if(pGetExp (p1, i) - pGetExp (m, i) + pGetExp (p2, i) > |
---|
| 842 | pGetExp (bound, i)) |
---|
[4f858ce] | 843 | { |
---|
[db83bf] | 844 | pDelete (&m); |
---|
| 845 | return FALSE; |
---|
[410ea0f] | 846 | } |
---|
[1f637e] | 847 | if(i == (currRing->N)) |
---|
[410ea0f] | 848 | { |
---|
[db83bf] | 849 | pDelete (&m); |
---|
| 850 | //PrintS("trivial"); |
---|
| 851 | return TRUE; |
---|
[4f858ce] | 852 | } |
---|
[410ea0f] | 853 | i++; |
---|
| 854 | } |
---|
[4f858ce] | 855 | } |
---|
| 856 | } |
---|
| 857 | |
---|
[b553e5] | 858 | //! returns position sets w as weight |
---|
[db83bf] | 859 | int find_best (red_object * r, int l, int u, wlen_type & w, slimgb_alg * c) |
---|
[2fc974] | 860 | { |
---|
[410ea0f] | 861 | int best = l; |
---|
[4f858ce] | 862 | int i; |
---|
[410ea0f] | 863 | w = r[l].guess_quality (c); |
---|
[db83bf] | 864 | for(i = l + 1; i <= u; i++) |
---|
[2fc974] | 865 | { |
---|
[410ea0f] | 866 | wlen_type w2 = r[i].guess_quality (c); |
---|
[db83bf] | 867 | if(w2 < w) |
---|
[2fc974] | 868 | { |
---|
[410ea0f] | 869 | w = w2; |
---|
| 870 | best = i; |
---|
[4f858ce] | 871 | } |
---|
| 872 | } |
---|
[410ea0f] | 873 | return best; |
---|
[4f858ce] | 874 | } |
---|
| 875 | |
---|
[db83bf] | 876 | void red_object::canonicalize () |
---|
[2fc974] | 877 | { |
---|
[410ea0f] | 878 | kBucketCanonicalize (bucket); |
---|
[4f858ce] | 879 | } |
---|
[2fc974] | 880 | |
---|
[db83bf] | 881 | BOOLEAN good_has_t_rep (int i, int j, slimgb_alg * c) |
---|
[2fc974] | 882 | { |
---|
[410ea0f] | 883 | assume (i >= 0); |
---|
| 884 | assume (j >= 0); |
---|
[db83bf] | 885 | if(has_t_rep (i, j, c)) |
---|
[410ea0f] | 886 | return TRUE; |
---|
[4f858ce] | 887 | //poly lm=pOne(); |
---|
[410ea0f] | 888 | assume (c->tmp_lm != NULL); |
---|
| 889 | poly lm = c->tmp_lm; |
---|
[4f858ce] | 890 | |
---|
[410ea0f] | 891 | pLcm (c->S->m[i], c->S->m[j], lm); |
---|
| 892 | pSetm (lm); |
---|
| 893 | assume (lm != NULL); |
---|
[4f858ce] | 894 | //int deciding_deg= pTotaldegree(lm); |
---|
[410ea0f] | 895 | int *i_con = make_connections (i, j, lm, c); |
---|
[4f858ce] | 896 | //p_Delete(&lm,c->r); |
---|
| 897 | |
---|
[db83bf] | 898 | for(int n = 0; ((n < c->n) && (i_con[n] >= 0)); n++) |
---|
[2fc974] | 899 | { |
---|
[db83bf] | 900 | if(i_con[n] == j) |
---|
[2fc974] | 901 | { |
---|
[410ea0f] | 902 | now_t_rep (i, j, c); |
---|
| 903 | omfree (i_con); |
---|
[4f858ce] | 904 | return TRUE; |
---|
| 905 | } |
---|
| 906 | } |
---|
[410ea0f] | 907 | omfree (i_con); |
---|
[4f858ce] | 908 | |
---|
| 909 | return FALSE; |
---|
| 910 | } |
---|
[410ea0f] | 911 | |
---|
[db83bf] | 912 | BOOLEAN lenS_correct (kStrategy strat) |
---|
[2fc974] | 913 | { |
---|
[4f858ce] | 914 | int i; |
---|
[db83bf] | 915 | for(i = 0; i <= strat->sl; i++) |
---|
[2fc974] | 916 | { |
---|
[db83bf] | 917 | if(strat->lenS[i] != pLength (strat->S[i])) |
---|
[4f858ce] | 918 | return FALSE; |
---|
| 919 | } |
---|
| 920 | return TRUE; |
---|
| 921 | } |
---|
| 922 | |
---|
| 923 | |
---|
[db83bf] | 924 | static void cleanS (kStrategy strat, slimgb_alg * c) |
---|
[8047af8] | 925 | { |
---|
[410ea0f] | 926 | int i = 0; |
---|
[4f858ce] | 927 | LObject P; |
---|
[db83bf] | 928 | while(i <= strat->sl) |
---|
[391323] | 929 | { |
---|
[410ea0f] | 930 | P.p = strat->S[i]; |
---|
| 931 | P.sev = strat->sevS[i]; |
---|
[a41623] | 932 | //int dummy=strat->sl; |
---|
[5eccfaa] | 933 | //if(kFindDivisibleByInS(strat,&dummy,&P)!=i) |
---|
[db83bf] | 934 | if(kFindDivisibleByInS_easy (strat, P.p, P.sev) != i) |
---|
[4f858ce] | 935 | { |
---|
[410ea0f] | 936 | deleteInS (i, strat); |
---|
[4f858ce] | 937 | //remember destroying poly |
---|
[410ea0f] | 938 | BOOLEAN found = FALSE; |
---|
[4f858ce] | 939 | int j; |
---|
[db83bf] | 940 | for(j = 0; j < c->n; j++) |
---|
[391323] | 941 | { |
---|
[db83bf] | 942 | if(c->S->m[j] == P.p) |
---|
| 943 | { |
---|
| 944 | found = TRUE; |
---|
| 945 | break; |
---|
| 946 | } |
---|
[391323] | 947 | } |
---|
[db83bf] | 948 | if(!found) |
---|
| 949 | pDelete (&P.p); |
---|
[4f858ce] | 950 | //remember additional reductors |
---|
| 951 | } |
---|
[410ea0f] | 952 | else |
---|
| 953 | i++; |
---|
[4f858ce] | 954 | } |
---|
| 955 | } |
---|
[410ea0f] | 956 | |
---|
[db83bf] | 957 | static int bucket_guess (kBucket * bucket) |
---|
[2fc974] | 958 | { |
---|
[410ea0f] | 959 | int sum = 0; |
---|
[4f858ce] | 960 | int i; |
---|
[db83bf] | 961 | for(i = bucket->buckets_used; i >= 0; i--) |
---|
[2fc974] | 962 | { |
---|
[db83bf] | 963 | if(bucket->buckets[i]) |
---|
[410ea0f] | 964 | sum += bucket->buckets_length[i]; |
---|
[4f858ce] | 965 | } |
---|
| 966 | return sum; |
---|
| 967 | } |
---|
| 968 | |
---|
[410ea0f] | 969 | static int |
---|
| 970 | add_to_reductors (slimgb_alg * c, poly h, int len, int ecart, |
---|
[db83bf] | 971 | BOOLEAN simplified) |
---|
[a0d9be] | 972 | { |
---|
[4f858ce] | 973 | //inDebug(h); |
---|
[410ea0f] | 974 | assume (lenS_correct (c->strat)); |
---|
| 975 | assume (len == pLength (h)); |
---|
[4f858ce] | 976 | int i; |
---|
[c57134] | 977 | // if (c->isDifficultField) |
---|
| 978 | // i=simple_posInS(c->strat,h,pSLength(h,len),c->isDifficultField); |
---|
[4f858ce] | 979 | // else |
---|
[c57134] | 980 | // i=simple_posInS(c->strat,h,len,c->isDifficultField); |
---|
[4f858ce] | 981 | |
---|
[410ea0f] | 982 | LObject P; |
---|
| 983 | memset (&P, 0, sizeof (P)); |
---|
| 984 | P.tailRing = c->r; |
---|
[db83bf] | 985 | P.p = h; /*p_Copy(h,c->r); */ |
---|
[410ea0f] | 986 | P.ecart = ecart; |
---|
| 987 | P.FDeg = pFDeg (P.p, c->r); |
---|
[db83bf] | 988 | if(!(simplified)) |
---|
[a0d9be] | 989 | { |
---|
[db83bf] | 990 | if(!rField_is_Zp (c->r)) |
---|
[410ea0f] | 991 | { |
---|
| 992 | p_Cleardenom (P.p, c->r); |
---|
| 993 | //p_Content(P.p,c->r ); //is a duplicate call, but belongs here |
---|
[31279e] | 994 | |
---|
[410ea0f] | 995 | } |
---|
| 996 | else |
---|
| 997 | pNorm (P.p); |
---|
| 998 | pNormalize (P.p); |
---|
[4f858ce] | 999 | } |
---|
[410ea0f] | 1000 | wlen_type pq = pQuality (h, c, len); |
---|
| 1001 | i = simple_posInS (c->strat, h, len, pq); |
---|
| 1002 | c->strat->enterS (P, i, c->strat, -1); |
---|
[31279e] | 1003 | |
---|
[410ea0f] | 1004 | c->strat->lenS[i] = len; |
---|
| 1005 | assume (pLength (c->strat->S[i]) == c->strat->lenS[i]); |
---|
[db83bf] | 1006 | if(c->strat->lenSw != NULL) |
---|
[410ea0f] | 1007 | c->strat->lenSw[i] = pq; |
---|
[31279e] | 1008 | |
---|
[4f858ce] | 1009 | return i; |
---|
| 1010 | } |
---|
[2fc974] | 1011 | |
---|
[db83bf] | 1012 | static void length_one_crit (slimgb_alg * c, int pos, int len) |
---|
[4f858ce] | 1013 | { |
---|
[db83bf] | 1014 | if(c->nc) |
---|
[d491e3] | 1015 | return; |
---|
[db83bf] | 1016 | if(len == 1) |
---|
[4f858ce] | 1017 | { |
---|
| 1018 | int i; |
---|
[db83bf] | 1019 | for(i = 0; i < pos; i++) |
---|
[4f858ce] | 1020 | { |
---|
[db83bf] | 1021 | if(c->lengths[i] == 1) |
---|
| 1022 | c->states[pos][i] = HASTREP; |
---|
[4f858ce] | 1023 | } |
---|
[db83bf] | 1024 | for(i = pos + 1; i < c->n; i++) |
---|
[2fc974] | 1025 | { |
---|
[db83bf] | 1026 | if(c->lengths[i] == 1) |
---|
| 1027 | c->states[i][pos] = HASTREP; |
---|
[4f858ce] | 1028 | } |
---|
[db83bf] | 1029 | if(!c->nc) |
---|
[410ea0f] | 1030 | shorten_tails (c, c->S->m[pos]); |
---|
[4f858ce] | 1031 | } |
---|
| 1032 | } |
---|
| 1033 | |
---|
[db83bf] | 1034 | static void move_forward_in_S (int old_pos, int new_pos, kStrategy strat) |
---|
[4f858ce] | 1035 | { |
---|
[410ea0f] | 1036 | assume (old_pos >= new_pos); |
---|
| 1037 | poly p = strat->S[old_pos]; |
---|
| 1038 | int ecart = strat->ecartS[old_pos]; |
---|
| 1039 | long sev = strat->sevS[old_pos]; |
---|
| 1040 | int s_2_r = strat->S_2_R[old_pos]; |
---|
| 1041 | int length = strat->lenS[old_pos]; |
---|
| 1042 | assume (length == pLength (strat->S[old_pos])); |
---|
[6bcdc53] | 1043 | wlen_type length_w; |
---|
[db83bf] | 1044 | if(strat->lenSw != NULL) |
---|
[410ea0f] | 1045 | length_w = strat->lenSw[old_pos]; |
---|
[4f858ce] | 1046 | int i; |
---|
[db83bf] | 1047 | for(i = old_pos; i > new_pos; i--) |
---|
[410ea0f] | 1048 | { |
---|
| 1049 | strat->S[i] = strat->S[i - 1]; |
---|
| 1050 | strat->ecartS[i] = strat->ecartS[i - 1]; |
---|
| 1051 | strat->sevS[i] = strat->sevS[i - 1]; |
---|
| 1052 | strat->S_2_R[i] = strat->S_2_R[i - 1]; |
---|
| 1053 | } |
---|
[db83bf] | 1054 | if(strat->lenS != NULL) |
---|
| 1055 | for(i = old_pos; i > new_pos; i--) |
---|
[410ea0f] | 1056 | strat->lenS[i] = strat->lenS[i - 1]; |
---|
[db83bf] | 1057 | if(strat->lenSw != NULL) |
---|
| 1058 | for(i = old_pos; i > new_pos; i--) |
---|
[410ea0f] | 1059 | strat->lenSw[i] = strat->lenSw[i - 1]; |
---|
| 1060 | |
---|
| 1061 | strat->S[new_pos] = p; |
---|
| 1062 | strat->ecartS[new_pos] = ecart; |
---|
| 1063 | strat->sevS[new_pos] = sev; |
---|
| 1064 | strat->S_2_R[new_pos] = s_2_r; |
---|
| 1065 | strat->lenS[new_pos] = length; |
---|
[db83bf] | 1066 | if(strat->lenSw != NULL) |
---|
[410ea0f] | 1067 | strat->lenSw[new_pos] = length_w; |
---|
[4f858ce] | 1068 | //assume(lenS_correct(strat)); |
---|
| 1069 | } |
---|
| 1070 | |
---|
[db83bf] | 1071 | static void move_backward_in_S (int old_pos, int new_pos, kStrategy strat) |
---|
[9108d3] | 1072 | { |
---|
[410ea0f] | 1073 | assume (old_pos <= new_pos); |
---|
| 1074 | poly p = strat->S[old_pos]; |
---|
| 1075 | int ecart = strat->ecartS[old_pos]; |
---|
| 1076 | long sev = strat->sevS[old_pos]; |
---|
| 1077 | int s_2_r = strat->S_2_R[old_pos]; |
---|
| 1078 | int length = strat->lenS[old_pos]; |
---|
| 1079 | assume (length == pLength (strat->S[old_pos])); |
---|
[9108d3] | 1080 | wlen_type length_w; |
---|
[db83bf] | 1081 | if(strat->lenSw != NULL) |
---|
[410ea0f] | 1082 | length_w = strat->lenSw[old_pos]; |
---|
[9108d3] | 1083 | int i; |
---|
[db83bf] | 1084 | for(i = old_pos; i < new_pos; i++) |
---|
[410ea0f] | 1085 | { |
---|
| 1086 | strat->S[i] = strat->S[i + 1]; |
---|
| 1087 | strat->ecartS[i] = strat->ecartS[i + 1]; |
---|
| 1088 | strat->sevS[i] = strat->sevS[i + 1]; |
---|
| 1089 | strat->S_2_R[i] = strat->S_2_R[i + 1]; |
---|
| 1090 | } |
---|
[db83bf] | 1091 | if(strat->lenS != NULL) |
---|
| 1092 | for(i = old_pos; i < new_pos; i++) |
---|
[410ea0f] | 1093 | strat->lenS[i] = strat->lenS[i + 1]; |
---|
[db83bf] | 1094 | if(strat->lenSw != NULL) |
---|
| 1095 | for(i = old_pos; i < new_pos; i++) |
---|
[410ea0f] | 1096 | strat->lenSw[i] = strat->lenSw[i + 1]; |
---|
| 1097 | |
---|
| 1098 | strat->S[new_pos] = p; |
---|
| 1099 | strat->ecartS[new_pos] = ecart; |
---|
| 1100 | strat->sevS[new_pos] = sev; |
---|
| 1101 | strat->S_2_R[new_pos] = s_2_r; |
---|
| 1102 | strat->lenS[new_pos] = length; |
---|
[db83bf] | 1103 | if(strat->lenSw != NULL) |
---|
[410ea0f] | 1104 | strat->lenSw[new_pos] = length_w; |
---|
[9108d3] | 1105 | //assume(lenS_correct(strat)); |
---|
| 1106 | } |
---|
| 1107 | |
---|
[db83bf] | 1108 | static int *make_connections (int from, int to, poly bound, slimgb_alg * c) |
---|
[4f858ce] | 1109 | { |
---|
[410ea0f] | 1110 | ideal I = c->S; |
---|
| 1111 | int *cans = (int *) omalloc (c->n * sizeof (int)); |
---|
| 1112 | int *connected = (int *) omalloc (c->n * sizeof (int)); |
---|
| 1113 | cans[0] = to; |
---|
| 1114 | int cans_length = 1; |
---|
| 1115 | connected[0] = from; |
---|
| 1116 | int last_cans_pos = -1; |
---|
| 1117 | int connected_length = 1; |
---|
| 1118 | long neg_bounds_short = ~p_GetShortExpVector (bound, c->r); |
---|
| 1119 | |
---|
| 1120 | int not_yet_found = cans_length; |
---|
| 1121 | int con_checked = 0; |
---|
[4f858ce] | 1122 | int pos; |
---|
[31279e] | 1123 | |
---|
[db83bf] | 1124 | while(TRUE) |
---|
[2fc974] | 1125 | { |
---|
[db83bf] | 1126 | if((con_checked < connected_length) && (not_yet_found > 0)) |
---|
[2fc974] | 1127 | { |
---|
[410ea0f] | 1128 | pos = connected[con_checked]; |
---|
[db83bf] | 1129 | for(int i = 0; i < cans_length; i++) |
---|
[2fc974] | 1130 | { |
---|
[db83bf] | 1131 | if(cans[i] < 0) |
---|
| 1132 | continue; |
---|
| 1133 | //FIXME: triv. syz. does not hold on noncommutative, check it for modules |
---|
| 1134 | if((has_t_rep (pos, cans[i], c)) |
---|
| 1135 | || ((!rIsPluralRing (c->r)) |
---|
| 1136 | && (trivial_syzygie (pos, cans[i], bound, c)))) |
---|
| 1137 | { |
---|
| 1138 | connected[connected_length] = cans[i]; |
---|
| 1139 | connected_length++; |
---|
| 1140 | cans[i] = -1; |
---|
| 1141 | --not_yet_found; |
---|
| 1142 | |
---|
| 1143 | if(connected[connected_length - 1] == to) |
---|
| 1144 | { |
---|
| 1145 | if(connected_length < c->n) |
---|
| 1146 | { |
---|
| 1147 | connected[connected_length] = -1; |
---|
| 1148 | } |
---|
| 1149 | omfree (cans); |
---|
| 1150 | return connected; |
---|
| 1151 | } |
---|
| 1152 | } |
---|
[4f858ce] | 1153 | } |
---|
| 1154 | con_checked++; |
---|
| 1155 | } |
---|
| 1156 | else |
---|
| 1157 | { |
---|
[db83bf] | 1158 | for(last_cans_pos++; last_cans_pos <= c->n; last_cans_pos++) |
---|
[2fc974] | 1159 | { |
---|
[db83bf] | 1160 | if(last_cans_pos == c->n) |
---|
| 1161 | { |
---|
| 1162 | if(connected_length < c->n) |
---|
| 1163 | { |
---|
| 1164 | connected[connected_length] = -1; |
---|
| 1165 | } |
---|
| 1166 | omfree (cans); |
---|
| 1167 | return connected; |
---|
| 1168 | } |
---|
| 1169 | if((last_cans_pos == from) || (last_cans_pos == to)) |
---|
| 1170 | continue; |
---|
| 1171 | if(p_LmShortDivisibleBy |
---|
| 1172 | (I->m[last_cans_pos], c->short_Exps[last_cans_pos], bound, |
---|
| 1173 | neg_bounds_short, c->r)) |
---|
| 1174 | { |
---|
| 1175 | cans[cans_length] = last_cans_pos; |
---|
| 1176 | cans_length++; |
---|
| 1177 | break; |
---|
| 1178 | } |
---|
[4f858ce] | 1179 | } |
---|
| 1180 | not_yet_found++; |
---|
[db83bf] | 1181 | for(int i = 0; i < con_checked; i++) |
---|
[2fc974] | 1182 | { |
---|
[db83bf] | 1183 | if(has_t_rep (connected[i], last_cans_pos, c)) |
---|
| 1184 | { |
---|
| 1185 | connected[connected_length] = last_cans_pos; |
---|
| 1186 | connected_length++; |
---|
| 1187 | cans[cans_length - 1] = -1; |
---|
| 1188 | --not_yet_found; |
---|
| 1189 | if(connected[connected_length - 1] == to) |
---|
| 1190 | { |
---|
| 1191 | if(connected_length < c->n) |
---|
| 1192 | { |
---|
| 1193 | connected[connected_length] = -1; |
---|
| 1194 | } |
---|
| 1195 | omfree (cans); |
---|
| 1196 | return connected; |
---|
| 1197 | } |
---|
| 1198 | break; |
---|
| 1199 | } |
---|
[4f858ce] | 1200 | } |
---|
| 1201 | } |
---|
| 1202 | } |
---|
[db83bf] | 1203 | if(connected_length < c->n) |
---|
[2fc974] | 1204 | { |
---|
[410ea0f] | 1205 | connected[connected_length] = -1; |
---|
[4f858ce] | 1206 | } |
---|
[410ea0f] | 1207 | omfree (cans); |
---|
[4f858ce] | 1208 | return connected; |
---|
| 1209 | } |
---|
[410ea0f] | 1210 | |
---|
[4f858ce] | 1211 | #ifdef HEAD_BIN |
---|
[db83bf] | 1212 | static inline poly p_MoveHead (poly p, omBin b) |
---|
[4f858ce] | 1213 | { |
---|
| 1214 | poly np; |
---|
[410ea0f] | 1215 | omTypeAllocBin (poly, np, b); |
---|
| 1216 | memmove (np, p, b->sizeW * sizeof (long)); |
---|
| 1217 | omFreeBinAddr (p); |
---|
[4f858ce] | 1218 | return np; |
---|
| 1219 | } |
---|
| 1220 | #endif |
---|
| 1221 | |
---|
[db83bf] | 1222 | static void replace_pair (int &i, int &j, slimgb_alg * c) |
---|
[2fd387d] | 1223 | { |
---|
[db83bf] | 1224 | if(i < 0) |
---|
[410ea0f] | 1225 | return; |
---|
| 1226 | c->soon_free = NULL; |
---|
[2fd387d] | 1227 | int syz_deg; |
---|
[410ea0f] | 1228 | poly lm = pOne (); |
---|
[2fd387d] | 1229 | |
---|
[410ea0f] | 1230 | pLcm (c->S->m[i], c->S->m[j], lm); |
---|
| 1231 | pSetm (lm); |
---|
[31279e] | 1232 | |
---|
[410ea0f] | 1233 | int *i_con = make_connections (i, j, lm, c); |
---|
[31279e] | 1234 | |
---|
[db83bf] | 1235 | for(int n = 0; ((n < c->n) && (i_con[n] >= 0)); n++) |
---|
[5f4463] | 1236 | { |
---|
[db83bf] | 1237 | if(i_con[n] == j) |
---|
[5f4463] | 1238 | { |
---|
[410ea0f] | 1239 | now_t_rep (i, j, c); |
---|
| 1240 | omfree (i_con); |
---|
| 1241 | p_Delete (&lm, c->r); |
---|
[2fd387d] | 1242 | return; |
---|
| 1243 | } |
---|
| 1244 | } |
---|
| 1245 | |
---|
[410ea0f] | 1246 | int *j_con = make_connections (j, i, lm, c); |
---|
[2fd387d] | 1247 | |
---|
[2fc974] | 1248 | // if(c->n>1) |
---|
| 1249 | // { |
---|
[2fd387d] | 1250 | // if (i_con[1]>=0) |
---|
| 1251 | // i=i_con[1]; |
---|
[2fc974] | 1252 | // else |
---|
| 1253 | // { |
---|
[2fd387d] | 1254 | // if (j_con[1]>=0) |
---|
| 1255 | // j=j_con[1]; |
---|
| 1256 | // } |
---|
[410ea0f] | 1257 | // } |
---|
[2fd387d] | 1258 | |
---|
[410ea0f] | 1259 | int sugar = syz_deg = c->pTotaldegree (lm); |
---|
[2fc974] | 1260 | |
---|
[410ea0f] | 1261 | p_Delete (&lm, c->r); |
---|
[db83bf] | 1262 | if(c->T_deg_full) //Sugar |
---|
[410ea0f] | 1263 | { |
---|
| 1264 | int t_i = c->T_deg_full[i] - c->T_deg[i]; |
---|
| 1265 | int t_j = c->T_deg_full[j] - c->T_deg[j]; |
---|
| 1266 | sugar += si_max (t_i, t_j); |
---|
| 1267 | //Print("\n max: %d\n",max(t_i,t_j)); |
---|
| 1268 | } |
---|
[2fd387d] | 1269 | |
---|
[db83bf] | 1270 | for(int m = 0; ((m < c->n) && (i_con[m] >= 0)); m++) |
---|
[5f4463] | 1271 | { |
---|
[db83bf] | 1272 | if(c->T_deg_full != NULL) |
---|
[5f4463] | 1273 | { |
---|
[410ea0f] | 1274 | int s1 = c->T_deg_full[i_con[m]] + syz_deg - c->T_deg[i_con[m]]; |
---|
[db83bf] | 1275 | if(s1 > sugar) |
---|
| 1276 | continue; |
---|
[2fc974] | 1277 | } |
---|
[db83bf] | 1278 | if(c->weighted_lengths[i_con[m]] < c->weighted_lengths[i]) |
---|
[410ea0f] | 1279 | i = i_con[m]; |
---|
| 1280 | } |
---|
[db83bf] | 1281 | for(int m = 0; ((m < c->n) && (j_con[m] >= 0)); m++) |
---|
[410ea0f] | 1282 | { |
---|
[db83bf] | 1283 | if(c->T_deg_full != NULL) |
---|
[5f4463] | 1284 | { |
---|
[410ea0f] | 1285 | int s1 = c->T_deg_full[j_con[m]] + syz_deg - c->T_deg[j_con[m]]; |
---|
[db83bf] | 1286 | if(s1 > sugar) |
---|
| 1287 | continue; |
---|
[2fd387d] | 1288 | } |
---|
[db83bf] | 1289 | if(c->weighted_lengths[j_con[m]] < c->weighted_lengths[j]) |
---|
[410ea0f] | 1290 | j = j_con[m]; |
---|
| 1291 | } |
---|
[31279e] | 1292 | |
---|
[410ea0f] | 1293 | //can also try dependend search |
---|
| 1294 | omfree (i_con); |
---|
| 1295 | omfree (j_con); |
---|
[2fc974] | 1296 | return; |
---|
[2fd387d] | 1297 | } |
---|
[4f858ce] | 1298 | |
---|
[db83bf] | 1299 | static void add_later (poly p, const char *prot, slimgb_alg * c) |
---|
[6a2e9c] | 1300 | { |
---|
[410ea0f] | 1301 | int i = 0; |
---|
| 1302 | //check, if it is already in the queue |
---|
[31279e] | 1303 | |
---|
[db83bf] | 1304 | while(c->add_later->m[i] != NULL) |
---|
[410ea0f] | 1305 | { |
---|
[db83bf] | 1306 | if(p_LmEqual (c->add_later->m[i], p, c->r)) |
---|
[410ea0f] | 1307 | return; |
---|
| 1308 | i++; |
---|
| 1309 | } |
---|
[db83bf] | 1310 | if(TEST_OPT_PROT) |
---|
[410ea0f] | 1311 | PrintS (prot); |
---|
| 1312 | c->add_later->m[i] = p; |
---|
[03f3269] | 1313 | } |
---|
[410ea0f] | 1314 | |
---|
[db83bf] | 1315 | static int simple_posInS (kStrategy strat, poly p, int len, wlen_type wlen) |
---|
[25061a] | 1316 | { |
---|
[db83bf] | 1317 | if(strat->sl == -1) |
---|
[410ea0f] | 1318 | return 0; |
---|
[db83bf] | 1319 | if(strat->lenSw) |
---|
[410ea0f] | 1320 | return pos_helper (strat, p, (wlen_type) wlen, (wlen_set) strat->lenSw, |
---|
[db83bf] | 1321 | strat->S); |
---|
[410ea0f] | 1322 | return pos_helper (strat, p, len, strat->lenS, strat->S); |
---|
[4f858ce] | 1323 | } |
---|
[25061a] | 1324 | |
---|
[4f858ce] | 1325 | /*2 |
---|
| 1326 | *if the leading term of p |
---|
| 1327 | *divides the leading term of some S[i] it will be canceled |
---|
| 1328 | */ |
---|
[410ea0f] | 1329 | static inline void |
---|
| 1330 | clearS (poly p, unsigned long p_sev, int l, int *at, int *k, kStrategy strat) |
---|
[4f858ce] | 1331 | { |
---|
[410ea0f] | 1332 | assume (p_sev == pGetShortExpVector (p)); |
---|
[db83bf] | 1333 | if(!pLmShortDivisibleBy (p, p_sev, strat->S[*at], ~strat->sevS[*at])) |
---|
[410ea0f] | 1334 | return; |
---|
[db83bf] | 1335 | if(l >= strat->lenS[*at]) |
---|
[410ea0f] | 1336 | return; |
---|
[db83bf] | 1337 | if(TEST_OPT_PROT) |
---|
[410ea0f] | 1338 | PrintS ("!"); |
---|
| 1339 | mflush (); |
---|
[4f858ce] | 1340 | //pDelete(&strat->S[*at]); |
---|
[410ea0f] | 1341 | deleteInS ((*at), strat); |
---|
[4f858ce] | 1342 | (*at)--; |
---|
| 1343 | (*k)--; |
---|
| 1344 | // assume(lenS_correct(strat)); |
---|
| 1345 | } |
---|
| 1346 | |
---|
[db83bf] | 1347 | static int iq_crit (const void *ap, const void *bp) |
---|
[5f4463] | 1348 | { |
---|
[410ea0f] | 1349 | sorted_pair_node *a = *((sorted_pair_node **) ap); |
---|
| 1350 | sorted_pair_node *b = *((sorted_pair_node **) bp); |
---|
| 1351 | assume (a->i > a->j); |
---|
| 1352 | assume (b->i > b->j); |
---|
| 1353 | |
---|
[db83bf] | 1354 | if(a->deg < b->deg) |
---|
[410ea0f] | 1355 | return -1; |
---|
[db83bf] | 1356 | if(a->deg > b->deg) |
---|
[410ea0f] | 1357 | return 1; |
---|
| 1358 | int comp = pLmCmp (a->lcm_of_lm, b->lcm_of_lm); |
---|
[db83bf] | 1359 | if(comp != 0) |
---|
[4f858ce] | 1360 | return comp; |
---|
[db83bf] | 1361 | if(a->expected_length < b->expected_length) |
---|
[410ea0f] | 1362 | return -1; |
---|
[db83bf] | 1363 | if(a->expected_length > b->expected_length) |
---|
[410ea0f] | 1364 | return 1; |
---|
[db83bf] | 1365 | if(a->j > b->j) |
---|
[410ea0f] | 1366 | return 1; |
---|
[db83bf] | 1367 | if(a->j < b->j) |
---|
[410ea0f] | 1368 | return -1; |
---|
[4f858ce] | 1369 | return 0; |
---|
| 1370 | } |
---|
[410ea0f] | 1371 | |
---|
[db83bf] | 1372 | static wlen_type coeff_mult_size_estimate (int s1, int s2, ring r) |
---|
[2fc974] | 1373 | { |
---|
[db83bf] | 1374 | if(rField_is_Q (r)) |
---|
[410ea0f] | 1375 | return s1 + s2; |
---|
| 1376 | else |
---|
| 1377 | return s1 * s2; |
---|
[d20265] | 1378 | } |
---|
[31279e] | 1379 | |
---|
[db83bf] | 1380 | static wlen_type pair_weighted_length (int i, int j, slimgb_alg * c) |
---|
[410ea0f] | 1381 | { |
---|
[db83bf] | 1382 | if((c->isDifficultField) && (c->eliminationProblem)) |
---|
[410ea0f] | 1383 | { |
---|
| 1384 | int c1 = slim_nsize (p_GetCoeff (c->S->m[i], c->r), c->r); |
---|
| 1385 | int c2 = slim_nsize (p_GetCoeff (c->S->m[j], c->r), c->r); |
---|
| 1386 | wlen_type el1 = c->weighted_lengths[i] / c1; |
---|
| 1387 | assume (el1 != 0); |
---|
| 1388 | assume (c->weighted_lengths[i] % c1 == 0); |
---|
| 1389 | wlen_type el2 = c->weighted_lengths[j] / c2; |
---|
| 1390 | assume (el2 != 0); |
---|
| 1391 | assume (c->weighted_lengths[j] % c2 == 0); |
---|
| 1392 | //should be * for function fields |
---|
| 1393 | //return (c1+c2) * (el1+el2-2); |
---|
| 1394 | wlen_type res = coeff_mult_size_estimate (c1, c2, c->r); |
---|
| 1395 | res *= el1 + el2 - 2; |
---|
| 1396 | return res; |
---|
| 1397 | |
---|
| 1398 | } |
---|
[db83bf] | 1399 | if(c->isDifficultField) |
---|
[410ea0f] | 1400 | { |
---|
| 1401 | //int cs=slim_nsize(p_GetCoeff(c->S->m[i],c->r),c->r)+ |
---|
| 1402 | // slim_nsize(p_GetCoeff(c->S->m[j],c->r),c->r); |
---|
[db83bf] | 1403 | if(!(TEST_V_COEFSTRAT)) |
---|
[410ea0f] | 1404 | { |
---|
| 1405 | wlen_type cs = |
---|
[db83bf] | 1406 | coeff_mult_size_estimate (slim_nsize |
---|
| 1407 | (p_GetCoeff (c->S->m[i], c->r), c->r), |
---|
| 1408 | slim_nsize (p_GetCoeff (c->S->m[j], c->r), |
---|
| 1409 | c->r), c->r); |
---|
[410ea0f] | 1410 | return (wlen_type) (c->lengths[i] + c->lengths[j] - 2) * (wlen_type) cs; |
---|
[6b4fbf7] | 1411 | } |
---|
[410ea0f] | 1412 | else |
---|
| 1413 | { |
---|
[3ecd5f] | 1414 | |
---|
[410ea0f] | 1415 | wlen_type cs = |
---|
[db83bf] | 1416 | coeff_mult_size_estimate (slim_nsize |
---|
| 1417 | (p_GetCoeff (c->S->m[i], c->r), c->r), |
---|
| 1418 | slim_nsize (p_GetCoeff (c->S->m[j], c->r), |
---|
| 1419 | c->r), c->r); |
---|
[410ea0f] | 1420 | cs *= cs; |
---|
| 1421 | return (wlen_type) (c->lengths[i] + c->lengths[j] - 2) * (wlen_type) cs; |
---|
[3ecd5f] | 1422 | } |
---|
[410ea0f] | 1423 | } |
---|
[db83bf] | 1424 | if(c->eliminationProblem) |
---|
[410ea0f] | 1425 | { |
---|
| 1426 | |
---|
| 1427 | return (c->weighted_lengths[i] + c->weighted_lengths[j] - 2); |
---|
| 1428 | } |
---|
| 1429 | return c->lengths[i] + c->lengths[j] - 2; |
---|
[31279e] | 1430 | |
---|
[6b4fbf7] | 1431 | } |
---|
[410ea0f] | 1432 | |
---|
[db83bf] | 1433 | sorted_pair_node **add_to_basis_ideal_quotient (poly h, slimgb_alg * c, |
---|
| 1434 | int *ip) |
---|
[4f858ce] | 1435 | { |
---|
[410ea0f] | 1436 | p_Test (h, c->r); |
---|
| 1437 | assume (h != NULL); |
---|
| 1438 | poly got = gcd_of_terms (h, c->r); |
---|
[db83bf] | 1439 | if((got != NULL) && (TEST_V_UPTORADICAL)) |
---|
[410ea0f] | 1440 | { |
---|
| 1441 | poly copy = p_Copy (got, c->r); |
---|
[03f3269] | 1442 | //p_wrp(got,c->r); |
---|
[410ea0f] | 1443 | BOOLEAN changed = monomial_root (got, c->r); |
---|
[db83bf] | 1444 | if(changed) |
---|
[03f3269] | 1445 | { |
---|
[410ea0f] | 1446 | poly div_by = pDivide (copy, got); |
---|
| 1447 | poly iter = h; |
---|
[db83bf] | 1448 | while(iter) |
---|
[410ea0f] | 1449 | { |
---|
[db83bf] | 1450 | pExpVectorSub (iter, div_by); |
---|
| 1451 | pIter (iter); |
---|
[410ea0f] | 1452 | } |
---|
| 1453 | p_Delete (&div_by, c->r); |
---|
| 1454 | PrintS ("U"); |
---|
[03f3269] | 1455 | } |
---|
[410ea0f] | 1456 | p_Delete (©, c->r); |
---|
[03f3269] | 1457 | } |
---|
| 1458 | |
---|
[6d7605] | 1459 | #define ENLARGE(pointer, type) pointer=(type*) omrealloc(pointer, c->array_lengths*sizeof(type)) |
---|
[4f858ce] | 1460 | // BOOLEAN corr=lenS_correct(c->strat); |
---|
[321283] | 1461 | int sugar; |
---|
[410ea0f] | 1462 | int ecart = 0; |
---|
[4f858ce] | 1463 | ++(c->n); |
---|
| 1464 | ++(c->S->ncols); |
---|
[410ea0f] | 1465 | int i, j; |
---|
| 1466 | i = c->n - 1; |
---|
| 1467 | sorted_pair_node **nodes = |
---|
| 1468 | (sorted_pair_node **) omalloc (sizeof (sorted_pair_node *) * i); |
---|
| 1469 | int spc = 0; |
---|
[db83bf] | 1470 | if(c->n > c->array_lengths) |
---|
[410ea0f] | 1471 | { |
---|
| 1472 | c->array_lengths = c->array_lengths * 2; |
---|
| 1473 | assume (c->array_lengths >= c->n); |
---|
| 1474 | ENLARGE (c->T_deg, int); |
---|
| 1475 | ENLARGE (c->tmp_pair_lm, poly); |
---|
| 1476 | ENLARGE (c->tmp_spn, sorted_pair_node *); |
---|
| 1477 | |
---|
| 1478 | ENLARGE (c->short_Exps, long); |
---|
| 1479 | ENLARGE (c->lengths, int); |
---|
| 1480 | #ifndef HAVE_BOOST |
---|
| 1481 | #ifndef USE_STDVECBOOL |
---|
| 1482 | |
---|
| 1483 | ENLARGE (c->states, char *); |
---|
| 1484 | #endif |
---|
| 1485 | #endif |
---|
| 1486 | ENLARGE (c->gcd_of_terms, poly); |
---|
[6b4fbf7] | 1487 | //if (c->weighted_lengths!=NULL) { |
---|
[410ea0f] | 1488 | ENLARGE (c->weighted_lengths, wlen_type); |
---|
[6b4fbf7] | 1489 | //} |
---|
[2d8ce9] | 1490 | //ENLARGE(c->S->m,poly); |
---|
[6d7605] | 1491 | } |
---|
[410ea0f] | 1492 | pEnlargeSet (&c->S->m, c->n - 1, 1); |
---|
[db83bf] | 1493 | if(c->T_deg_full) |
---|
[410ea0f] | 1494 | ENLARGE (c->T_deg_full, int); |
---|
| 1495 | sugar = c->T_deg[i] = c->pTotaldegree (h); |
---|
[db83bf] | 1496 | if(c->T_deg_full) |
---|
[a0d9be] | 1497 | { |
---|
[410ea0f] | 1498 | sugar = c->T_deg_full[i] = c->pTotaldegree_full (h); |
---|
| 1499 | ecart = sugar - c->T_deg[i]; |
---|
| 1500 | assume (ecart >= 0); |
---|
[4f858ce] | 1501 | } |
---|
[410ea0f] | 1502 | c->tmp_pair_lm[i] = pOne_Special (c->r); |
---|
[85eb7d] | 1503 | |
---|
[410ea0f] | 1504 | c->tmp_spn[i] = (sorted_pair_node *) omalloc (sizeof (sorted_pair_node)); |
---|
[4f858ce] | 1505 | |
---|
[410ea0f] | 1506 | c->lengths[i] = pLength (h); |
---|
[31279e] | 1507 | |
---|
[6b4fbf7] | 1508 | //necessary for correct weighted length |
---|
[31279e] | 1509 | |
---|
[db83bf] | 1510 | if(!rField_is_Zp (c->r)) |
---|
[a0d9be] | 1511 | { |
---|
[410ea0f] | 1512 | p_Cleardenom (h, c->r); |
---|
[a0d9be] | 1513 | //p_Content(h,c->r); //is a duplicate call, but belongs here |
---|
[6b4fbf7] | 1514 | } |
---|
[31279e] | 1515 | else |
---|
[410ea0f] | 1516 | pNorm (h); |
---|
| 1517 | pNormalize (h); |
---|
[31279e] | 1518 | |
---|
[410ea0f] | 1519 | c->weighted_lengths[i] = pQuality (h, c, c->lengths[i]); |
---|
| 1520 | c->gcd_of_terms[i] = got; |
---|
| 1521 | #ifdef HAVE_BOOST |
---|
| 1522 | c->states.push_back (dynamic_bitset <> (i)); |
---|
[31279e] | 1523 | |
---|
[410ea0f] | 1524 | #else |
---|
| 1525 | #ifdef USE_STDVECBOOL |
---|
[5a9e7b] | 1526 | |
---|
[410ea0f] | 1527 | c->states.push_back (vector < bool > (i)); |
---|
[5a9e7b] | 1528 | |
---|
[410ea0f] | 1529 | #else |
---|
[db83bf] | 1530 | if(i > 0) |
---|
[410ea0f] | 1531 | c->states[i] = (char *) omalloc (i * sizeof (char)); |
---|
[65c4dc] | 1532 | else |
---|
[410ea0f] | 1533 | c->states[i] = NULL; |
---|
| 1534 | #endif |
---|
| 1535 | #endif |
---|
[31279e] | 1536 | |
---|
[410ea0f] | 1537 | c->S->m[i] = h; |
---|
| 1538 | c->short_Exps[i] = p_GetShortExpVector (h, c->r); |
---|
[31279e] | 1539 | |
---|
[85eb7d] | 1540 | #undef ENLARGE |
---|
[db83bf] | 1541 | if(p_GetComp (h, currRing) <= c->syz_comp) |
---|
[2fc974] | 1542 | { |
---|
[db83bf] | 1543 | for(j = 0; j < i; j++) |
---|
[410ea0f] | 1544 | { |
---|
[31279e] | 1545 | |
---|
[5bf76c] | 1546 | |
---|
[410ea0f] | 1547 | #ifndef HAVE_BOOST |
---|
| 1548 | c->states[i][j] = UNCALCULATED; |
---|
| 1549 | #endif |
---|
| 1550 | assume (p_LmDivisibleBy (c->S->m[i], c->S->m[j], c->r) == |
---|
[db83bf] | 1551 | p_LmShortDivisibleBy (c->S->m[i], c->short_Exps[i], c->S->m[j], |
---|
| 1552 | ~(c->short_Exps[j]), c->r)); |
---|
[5bf76c] | 1553 | |
---|
[1f637e] | 1554 | if(__p_GetComp (c->S->m[i], c->r) != __p_GetComp (c->S->m[j], c->r)) |
---|
[410ea0f] | 1555 | { |
---|
[db83bf] | 1556 | //c->states[i][j]=UNCALCULATED; |
---|
| 1557 | //WARNUNG: be careful |
---|
| 1558 | continue; |
---|
[410ea0f] | 1559 | } |
---|
[db83bf] | 1560 | else if((!c->nc) && (c->lengths[i] == 1) && (c->lengths[j] == 1)) |
---|
[410ea0f] | 1561 | { |
---|
[db83bf] | 1562 | c->states[i][j] = HASTREP; |
---|
[410ea0f] | 1563 | } |
---|
[db83bf] | 1564 | else if(((!c->nc) || (c->is_homog && rIsSCA (c->r))) |
---|
| 1565 | && (pHasNotCF (c->S->m[i], c->S->m[j]))) |
---|
[5a9e7b] | 1566 | // else if ((!(c->nc)) && (pHasNotCF(c->S->m[i],c->S->m[j]))) |
---|
[410ea0f] | 1567 | { |
---|
[db83bf] | 1568 | c->easy_product_crit++; |
---|
| 1569 | c->states[i][j] = HASTREP; |
---|
| 1570 | continue; |
---|
[410ea0f] | 1571 | } |
---|
| 1572 | else |
---|
[db83bf] | 1573 | if(extended_product_criterion |
---|
| 1574 | (c->S->m[i], c->gcd_of_terms[i], c->S->m[j], c->gcd_of_terms[j], |
---|
| 1575 | c)) |
---|
[410ea0f] | 1576 | { |
---|
[db83bf] | 1577 | c->states[i][j] = HASTREP; |
---|
| 1578 | c->extended_product_crit++; |
---|
| 1579 | //PrintS("E"); |
---|
[410ea0f] | 1580 | } |
---|
[2fc974] | 1581 | // if (c->states[i][j]==UNCALCULATED) |
---|
| 1582 | // { |
---|
[cae954] | 1583 | |
---|
[db83bf] | 1584 | if((TEST_V_FINDMONOM) && (!c->nc)) |
---|
[410ea0f] | 1585 | { |
---|
[db83bf] | 1586 | //PrintS("COMMU"); |
---|
| 1587 | // if (c->lengths[i]==c->lengths[j]) |
---|
| 1588 | // { |
---|
[03f3269] | 1589 | // poly short_s=ksCreateShortSpoly(c->S->m[i],c->S->m[j],c->r); |
---|
[2fc974] | 1590 | // if (short_s==NULL) |
---|
| 1591 | // { |
---|
[03f3269] | 1592 | // c->states[i][j]=HASTREP; |
---|
[2fc974] | 1593 | // } |
---|
| 1594 | // else |
---|
[03f3269] | 1595 | // { |
---|
| 1596 | // p_Delete(&short_s, currRing); |
---|
| 1597 | // } |
---|
| 1598 | // } |
---|
[db83bf] | 1599 | if(c->lengths[i] + c->lengths[j] == 3) |
---|
| 1600 | { |
---|
| 1601 | |
---|
| 1602 | |
---|
| 1603 | poly short_s = ksCreateShortSpoly (c->S->m[i], c->S->m[j], c->r); |
---|
| 1604 | if(short_s == NULL) |
---|
| 1605 | { |
---|
| 1606 | c->states[i][j] = HASTREP; |
---|
| 1607 | } |
---|
| 1608 | else |
---|
| 1609 | { |
---|
| 1610 | assume (pLength (short_s) == 1); |
---|
| 1611 | if(TEST_V_UPTORADICAL) |
---|
| 1612 | monomial_root (short_s, c->r); |
---|
| 1613 | int iS = kFindDivisibleByInS_easy (c->strat, short_s, |
---|
| 1614 | p_GetShortExpVector (short_s, |
---|
| 1615 | c->r)); |
---|
| 1616 | if(iS < 0) |
---|
| 1617 | { |
---|
| 1618 | //PrintS("N"); |
---|
| 1619 | if(TRUE) |
---|
| 1620 | { |
---|
| 1621 | c->states[i][j] = HASTREP; |
---|
| 1622 | add_later (short_s, "N", c); |
---|
| 1623 | } |
---|
| 1624 | else |
---|
| 1625 | p_Delete (&short_s, currRing); |
---|
| 1626 | } |
---|
| 1627 | else |
---|
| 1628 | { |
---|
| 1629 | if(c->strat->lenS[iS] > 1) |
---|
| 1630 | { |
---|
| 1631 | //PrintS("O"); |
---|
| 1632 | if(TRUE) |
---|
| 1633 | { |
---|
| 1634 | c->states[i][j] = HASTREP; |
---|
| 1635 | add_later (short_s, "O", c); |
---|
| 1636 | } |
---|
| 1637 | else |
---|
| 1638 | p_Delete (&short_s, currRing); |
---|
| 1639 | } |
---|
| 1640 | else |
---|
| 1641 | p_Delete (&short_s, currRing); |
---|
| 1642 | c->states[i][j] = HASTREP; |
---|
| 1643 | } |
---|
| 1644 | |
---|
| 1645 | |
---|
| 1646 | } |
---|
| 1647 | } |
---|
[410ea0f] | 1648 | } |
---|
[4f858ce] | 1649 | // if (short_s) |
---|
| 1650 | // { |
---|
[410ea0f] | 1651 | assume (spc <= j); |
---|
[db83bf] | 1652 | sorted_pair_node *s = c->tmp_spn[spc]; //(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
[410ea0f] | 1653 | s->i = si_max (i, j); |
---|
| 1654 | s->j = si_min (i, j); |
---|
| 1655 | assume (s->j == j); |
---|
[db83bf] | 1656 | s->expected_length = pair_weighted_length (i, j, c); //c->lengths[i]+c->lengths[j]-2; |
---|
[31279e] | 1657 | |
---|
[db83bf] | 1658 | poly lm = c->tmp_pair_lm[spc]; //=pOne_Special(); |
---|
[31279e] | 1659 | |
---|
[410ea0f] | 1660 | pLcm (c->S->m[i], c->S->m[j], lm); |
---|
| 1661 | pSetm (lm); |
---|
| 1662 | p_Test (lm, c->r); |
---|
| 1663 | s->deg = c->pTotaldegree (lm); |
---|
[02e2f7] | 1664 | |
---|
[db83bf] | 1665 | if(c->T_deg_full) //Sugar |
---|
[410ea0f] | 1666 | { |
---|
[db83bf] | 1667 | int t_i = c->T_deg_full[s->i] - c->T_deg[s->i]; |
---|
| 1668 | int t_j = c->T_deg_full[s->j] - c->T_deg[s->j]; |
---|
| 1669 | s->deg += si_max (t_i, t_j); |
---|
| 1670 | //Print("\n max: %d\n",max(t_i,t_j)); |
---|
[410ea0f] | 1671 | } |
---|
| 1672 | p_Test (lm, c->r); |
---|
| 1673 | s->lcm_of_lm = lm; |
---|
| 1674 | // pDelete(&short_s); |
---|
| 1675 | //assume(lm!=NULL); |
---|
| 1676 | nodes[spc] = s; |
---|
| 1677 | spc++; |
---|
| 1678 | |
---|
| 1679 | // } |
---|
| 1680 | //else |
---|
| 1681 | //{ |
---|
| 1682 | //c->states[i][j]=HASTREP; |
---|
| 1683 | //} |
---|
[4f858ce] | 1684 | } |
---|
[db83bf] | 1685 | } //if syz_comp end |
---|
[31279e] | 1686 | |
---|
[410ea0f] | 1687 | assume (spc <= i); |
---|
[4f858ce] | 1688 | //now ideal quotient crit |
---|
[410ea0f] | 1689 | qsort (nodes, spc, sizeof (sorted_pair_node *), iq_crit); |
---|
[31279e] | 1690 | |
---|
[410ea0f] | 1691 | sorted_pair_node **nodes_final = |
---|
| 1692 | (sorted_pair_node **) omalloc (sizeof (sorted_pair_node *) * i); |
---|
| 1693 | int spc_final = 0; |
---|
| 1694 | j = 0; |
---|
[db83bf] | 1695 | while(j < spc) |
---|
[4f858ce] | 1696 | { |
---|
[410ea0f] | 1697 | int lower = j; |
---|
[4f858ce] | 1698 | int upper; |
---|
[410ea0f] | 1699 | BOOLEAN has = FALSE; |
---|
[db83bf] | 1700 | for(upper = lower + 1; upper < spc; upper++) |
---|
[4f858ce] | 1701 | { |
---|
[db83bf] | 1702 | if(!pLmEqual (nodes[lower]->lcm_of_lm, nodes[upper]->lcm_of_lm)) |
---|
[4f858ce] | 1703 | { |
---|
[db83bf] | 1704 | break; |
---|
[4f858ce] | 1705 | } |
---|
[db83bf] | 1706 | if(has_t_rep (nodes[upper]->i, nodes[upper]->j, c)) |
---|
| 1707 | has = TRUE; |
---|
[4f858ce] | 1708 | } |
---|
[410ea0f] | 1709 | upper = upper - 1; |
---|
[4f858ce] | 1710 | int z; |
---|
[410ea0f] | 1711 | assume (spc_final <= j); |
---|
[db83bf] | 1712 | for(z = 0; z < spc_final; z++) |
---|
[4f858ce] | 1713 | { |
---|
[db83bf] | 1714 | if(p_LmDivisibleBy |
---|
| 1715 | (nodes_final[z]->lcm_of_lm, nodes[lower]->lcm_of_lm, c->r)) |
---|
[4f858ce] | 1716 | { |
---|
[db83bf] | 1717 | has = TRUE; |
---|
| 1718 | break; |
---|
[4f858ce] | 1719 | } |
---|
| 1720 | } |
---|
[31279e] | 1721 | |
---|
[db83bf] | 1722 | if(has) |
---|
[4f858ce] | 1723 | { |
---|
[db83bf] | 1724 | for(; lower <= upper; lower++) |
---|
[4f858ce] | 1725 | { |
---|
[db83bf] | 1726 | //free_sorted_pair_node(nodes[lower],c->r); |
---|
| 1727 | //omfree(nodes[lower]); |
---|
| 1728 | nodes[lower] = NULL; |
---|
[4f858ce] | 1729 | } |
---|
[410ea0f] | 1730 | j = upper + 1; |
---|
[4f858ce] | 1731 | continue; |
---|
| 1732 | } |
---|
| 1733 | else |
---|
| 1734 | { |
---|
[410ea0f] | 1735 | p_Test (nodes[lower]->lcm_of_lm, c->r); |
---|
| 1736 | nodes[lower]->lcm_of_lm = pCopy (nodes[lower]->lcm_of_lm); |
---|
[1f637e] | 1737 | assume (__p_GetComp (c->S->m[nodes[lower]->i], c->r) == |
---|
| 1738 | __p_GetComp (c->S->m[nodes[lower]->j], c->r)); |
---|
[410ea0f] | 1739 | nodes_final[spc_final] = |
---|
[db83bf] | 1740 | (sorted_pair_node *) omalloc (sizeof (sorted_pair_node)); |
---|
[410ea0f] | 1741 | |
---|
| 1742 | *(nodes_final[spc_final++]) = *(nodes[lower]); |
---|
[02e2f7] | 1743 | //c->tmp_spn[nodes[lower]->j]=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
[410ea0f] | 1744 | nodes[lower] = NULL; |
---|
[db83bf] | 1745 | for(lower = lower + 1; lower <= upper; lower++) |
---|
[4f858ce] | 1746 | { |
---|
[db83bf] | 1747 | // free_sorted_pair_node(nodes[lower],c->r); |
---|
| 1748 | //omfree(nodes[lower]); |
---|
| 1749 | nodes[lower] = NULL; |
---|
[4f858ce] | 1750 | } |
---|
[410ea0f] | 1751 | j = upper + 1; |
---|
[4f858ce] | 1752 | continue; |
---|
| 1753 | } |
---|
| 1754 | } |
---|
| 1755 | |
---|
| 1756 | // Print("i:%d,spc_final:%d",i,spc_final); |
---|
| 1757 | |
---|
[410ea0f] | 1758 | assume (spc_final <= spc); |
---|
| 1759 | omfree (nodes); |
---|
| 1760 | nodes = NULL; |
---|
[4f858ce] | 1761 | |
---|
[410ea0f] | 1762 | add_to_reductors (c, h, c->lengths[c->n - 1], ecart, TRUE); |
---|
[4f858ce] | 1763 | //i=posInS(c->strat,c->strat->sl,h,0 ecart); |
---|
[db83bf] | 1764 | if(!(c->nc)) |
---|
[2fc974] | 1765 | { |
---|
[db83bf] | 1766 | if(c->lengths[c->n - 1] == 1) |
---|
[410ea0f] | 1767 | shorten_tails (c, c->S->m[c->n - 1]); |
---|
[d491e3] | 1768 | } |
---|
[4f858ce] | 1769 | //you should really update c->lengths, c->strat->lenS, and the oder of polys in strat if you sort after lengths |
---|
| 1770 | |
---|
| 1771 | //for(i=c->strat->sl; i>0;i--) |
---|
| 1772 | // if(c->strat->lenS[i]<c->strat->lenS[i-1]) printf("fehler bei %d\n",i); |
---|
[db83bf] | 1773 | if(c->Rcounter > 50) |
---|
[410ea0f] | 1774 | { |
---|
| 1775 | c->Rcounter = 0; |
---|
| 1776 | cleanS (c->strat, c); |
---|
[4f858ce] | 1777 | } |
---|
[5a9e7b] | 1778 | |
---|
[1daae71] | 1779 | #ifdef HAVE_PLURAL |
---|
[5a9e7b] | 1780 | // for SCA: |
---|
| 1781 | // here write at the end of nodes_final[spc_final,...,spc_final+lmdeg-1] |
---|
[db83bf] | 1782 | if(rIsSCA (c->r)) |
---|
[5a9e7b] | 1783 | { |
---|
[410ea0f] | 1784 | const poly pNext = pNext (h); |
---|
[5a9e7b] | 1785 | |
---|
[db83bf] | 1786 | if(pNext != NULL) |
---|
[5a9e7b] | 1787 | { |
---|
| 1788 | // for additional polynomials |
---|
[410ea0f] | 1789 | const unsigned int m_iFirstAltVar = scaFirstAltVar (c->r); |
---|
| 1790 | const unsigned int m_iLastAltVar = scaLastAltVar (c->r); |
---|
[5a9e7b] | 1791 | |
---|
[db83bf] | 1792 | int N = // c->r->N; |
---|
| 1793 | m_iLastAltVar - m_iFirstAltVar + 1; // should be enough |
---|
[5a9e7b] | 1794 | // TODO: but we may also use got = gcd({m}_{m\in f}))! |
---|
| 1795 | |
---|
[db83bf] | 1796 | poly *array_arg = (poly *) omalloc (N * sizeof (poly)); // ! |
---|
[410ea0f] | 1797 | int j = 0; |
---|
[5a9e7b] | 1798 | |
---|
| 1799 | |
---|
[db83bf] | 1800 | for(unsigned short v = m_iFirstAltVar; v <= m_iLastAltVar; v++) |
---|
| 1801 | // for all x_v | Ann(lm(h)) |
---|
| 1802 | if(p_GetExp (h, v, c->r)) // TODO: use 'got' here! |
---|
| 1803 | { |
---|
| 1804 | assume (p_GetExp (h, v, c->r) == 1); |
---|
[5a9e7b] | 1805 | |
---|
[db83bf] | 1806 | poly p = sca_pp_Mult_xi_pp (v, pNext, c->r); // x_v * h; |
---|
[5a9e7b] | 1807 | |
---|
[db83bf] | 1808 | if(p != NULL) // if (x_v * h != 0) |
---|
| 1809 | array_arg[j++] = p; |
---|
| 1810 | } // for all x_v | Ann(lm(h)) |
---|
[5a9e7b] | 1811 | |
---|
[410ea0f] | 1812 | c->introduceDelayedPairs (array_arg, j); |
---|
[5a9e7b] | 1813 | |
---|
[db83bf] | 1814 | omfree (array_arg); // !!! |
---|
[5a9e7b] | 1815 | } |
---|
[a610ee] | 1816 | // PrintS("Saturation - done!!!\n"); |
---|
[1daae71] | 1817 | } |
---|
| 1818 | #endif // if SCAlgebra |
---|
[5a9e7b] | 1819 | |
---|
| 1820 | |
---|
[db83bf] | 1821 | if(!ip) |
---|
[2fc974] | 1822 | { |
---|
[410ea0f] | 1823 | qsort (nodes_final, spc_final, sizeof (sorted_pair_node *), |
---|
[db83bf] | 1824 | tgb_pair_better_gen2); |
---|
[31279e] | 1825 | |
---|
| 1826 | |
---|
[410ea0f] | 1827 | c->apairs = |
---|
| 1828 | spn_merge (c->apairs, c->pair_top + 1, nodes_final, spc_final, c); |
---|
| 1829 | c->pair_top += spc_final; |
---|
| 1830 | clean_top_of_pair_list (c); |
---|
| 1831 | omfree (nodes_final); |
---|
[4f858ce] | 1832 | return NULL; |
---|
| 1833 | } |
---|
| 1834 | { |
---|
[410ea0f] | 1835 | *ip = spc_final; |
---|
[4f858ce] | 1836 | return nodes_final; |
---|
| 1837 | } |
---|
| 1838 | } |
---|
| 1839 | |
---|
[db83bf] | 1840 | static poly redNF2 (poly h, slimgb_alg * c, int &len, number & m, int n) |
---|
[4f858ce] | 1841 | { |
---|
[410ea0f] | 1842 | m = nInit (1); |
---|
[db83bf] | 1843 | if(h == NULL) |
---|
[410ea0f] | 1844 | return NULL; |
---|
[4f858ce] | 1845 | |
---|
[410ea0f] | 1846 | assume (len == pLength (h)); |
---|
| 1847 | kStrategy strat = c->strat; |
---|
[db83bf] | 1848 | if(0 > strat->sl) |
---|
[4f858ce] | 1849 | { |
---|
| 1850 | return h; |
---|
| 1851 | } |
---|
| 1852 | int j; |
---|
[31279e] | 1853 | |
---|
[410ea0f] | 1854 | LObject P (h); |
---|
| 1855 | P.SetShortExpVector (); |
---|
| 1856 | P.bucket = kBucketCreate (currRing); |
---|
[4f858ce] | 1857 | // BOOLEAN corr=lenS_correct(strat); |
---|
[410ea0f] | 1858 | kBucketInit (P.bucket, P.p, len /*pLength(P.p) */ ); |
---|
[9cd599] | 1859 | //wlen_set lenSw=(wlen_set) c->strat->lenS; |
---|
| 1860 | //FIXME: plainly wrong |
---|
| 1861 | //strat->lenS; |
---|
| 1862 | //if (strat->lenSw!=NULL) |
---|
| 1863 | // lenSw=strat->lenSw; |
---|
[4f858ce] | 1864 | //int max_pos=simple_posInS(strat,P.p); |
---|
| 1865 | loop |
---|
[391323] | 1866 | { |
---|
[410ea0f] | 1867 | //int dummy=strat->sl; |
---|
| 1868 | j = kFindDivisibleByInS_easy (strat, P.p, P.sev); |
---|
| 1869 | //j=kFindDivisibleByInS(strat,&dummy,&P); |
---|
[db83bf] | 1870 | if((j >= 0) && ((!n) || |
---|
| 1871 | ((strat->lenS[j] <= n) && |
---|
| 1872 | ((strat->lenSw == NULL) || (strat->lenSw[j] <= n))))) |
---|
[410ea0f] | 1873 | { |
---|
| 1874 | nNormalize (pGetCoeff (P.p)); |
---|
[4f858ce] | 1875 | #ifdef KDEBUG |
---|
[db83bf] | 1876 | if(TEST_OPT_DEBUG) |
---|
[410ea0f] | 1877 | { |
---|
[db83bf] | 1878 | PrintS ("red:"); |
---|
| 1879 | wrp (h); |
---|
| 1880 | PrintS (" with "); |
---|
| 1881 | wrp (strat->S[j]); |
---|
[410ea0f] | 1882 | } |
---|
[4f858ce] | 1883 | #endif |
---|
[31279e] | 1884 | |
---|
[410ea0f] | 1885 | number coef = kBucketPolyRed (P.bucket, strat->S[j], |
---|
[db83bf] | 1886 | strat->lenS[j] /*pLength(strat->S[j]) */ , |
---|
| 1887 | strat->kNoether); |
---|
[410ea0f] | 1888 | number m2 = nMult (m, coef); |
---|
| 1889 | nDelete (&m); |
---|
| 1890 | m = m2; |
---|
| 1891 | nDelete (&coef); |
---|
| 1892 | h = kBucketGetLm (P.bucket); |
---|
| 1893 | |
---|
[db83bf] | 1894 | if(h == NULL) |
---|
[410ea0f] | 1895 | { |
---|
[db83bf] | 1896 | len = 0; |
---|
| 1897 | kBucketDestroy (&P.bucket); |
---|
| 1898 | return NULL; |
---|
[4f858ce] | 1899 | } |
---|
[410ea0f] | 1900 | P.p = h; |
---|
| 1901 | P.t_p = NULL; |
---|
| 1902 | P.SetShortExpVector (); |
---|
| 1903 | #ifdef KDEBUG |
---|
[db83bf] | 1904 | if(TEST_OPT_DEBUG) |
---|
[4f858ce] | 1905 | { |
---|
[db83bf] | 1906 | PrintS ("\nto:"); |
---|
| 1907 | wrp (h); |
---|
| 1908 | PrintLn (); |
---|
[4f858ce] | 1909 | } |
---|
[410ea0f] | 1910 | #endif |
---|
| 1911 | } |
---|
| 1912 | else |
---|
| 1913 | { |
---|
| 1914 | kBucketClear (P.bucket, &(P.p), &len); |
---|
| 1915 | kBucketDestroy (&P.bucket); |
---|
| 1916 | pNormalize (P.p); |
---|
| 1917 | assume (len == (pLength (P.p))); |
---|
| 1918 | return P.p; |
---|
[4f858ce] | 1919 | } |
---|
[410ea0f] | 1920 | } |
---|
[4f858ce] | 1921 | } |
---|
| 1922 | |
---|
[db83bf] | 1923 | static poly redTailShort (poly h, kStrategy strat) |
---|
[2fc974] | 1924 | { |
---|
[db83bf] | 1925 | if(h == NULL) |
---|
| 1926 | return NULL; //n_Init(1,currRing); |
---|
| 1927 | if(TEST_V_MODPSOLVSB) |
---|
[2fc974] | 1928 | { |
---|
[410ea0f] | 1929 | bit_reduce (pNext (h), strat->tailRing); |
---|
[03f3269] | 1930 | } |
---|
[4f858ce] | 1931 | int i; |
---|
[410ea0f] | 1932 | int len = pLength (h); |
---|
[db83bf] | 1933 | for(i = 0; i <= strat->sl; i++) |
---|
[2fc974] | 1934 | { |
---|
[db83bf] | 1935 | if((strat->lenS[i] > 2) |
---|
| 1936 | || ((strat->lenSw != NULL) && (strat->lenSw[i] > 2))) |
---|
[4f858ce] | 1937 | break; |
---|
| 1938 | } |
---|
[410ea0f] | 1939 | return (redNFTail (h, i - 1, strat, len)); |
---|
[4f858ce] | 1940 | } |
---|
| 1941 | |
---|
[db83bf] | 1942 | static void line_of_extended_prod (int fixpos, slimgb_alg * c) |
---|
[2fc974] | 1943 | { |
---|
[db83bf] | 1944 | if(c->gcd_of_terms[fixpos] == NULL) |
---|
[4f858ce] | 1945 | { |
---|
[410ea0f] | 1946 | c->gcd_of_terms[fixpos] = gcd_of_terms (c->S->m[fixpos], c->r); |
---|
[db83bf] | 1947 | if(c->gcd_of_terms[fixpos]) |
---|
[4f858ce] | 1948 | { |
---|
| 1949 | int i; |
---|
[db83bf] | 1950 | for(i = 0; i < fixpos; i++) |
---|
| 1951 | if((c->states[fixpos][i] != HASTREP) |
---|
| 1952 | && |
---|
| 1953 | (extended_product_criterion |
---|
| 1954 | (c->S->m[fixpos], c->gcd_of_terms[fixpos], c->S->m[i], |
---|
| 1955 | c->gcd_of_terms[i], c))) |
---|
| 1956 | { |
---|
| 1957 | c->states[fixpos][i] = HASTREP; |
---|
| 1958 | c->extended_product_crit++; |
---|
| 1959 | } |
---|
| 1960 | for(i = fixpos + 1; i < c->n; i++) |
---|
| 1961 | if((c->states[i][fixpos] != HASTREP) |
---|
| 1962 | && |
---|
| 1963 | (extended_product_criterion |
---|
| 1964 | (c->S->m[fixpos], c->gcd_of_terms[fixpos], c->S->m[i], |
---|
| 1965 | c->gcd_of_terms[i], c))) |
---|
| 1966 | { |
---|
| 1967 | c->states[i][fixpos] = HASTREP; |
---|
| 1968 | c->extended_product_crit++; |
---|
| 1969 | } |
---|
[4f858ce] | 1970 | } |
---|
| 1971 | } |
---|
| 1972 | } |
---|
[410ea0f] | 1973 | |
---|
[db83bf] | 1974 | static void c_S_element_changed_hook (int pos, slimgb_alg * c) |
---|
[2fc974] | 1975 | { |
---|
[410ea0f] | 1976 | length_one_crit (c, pos, c->lengths[pos]); |
---|
[db83bf] | 1977 | if(!c->nc) |
---|
[410ea0f] | 1978 | line_of_extended_prod (pos, c); |
---|
[4f858ce] | 1979 | } |
---|
[410ea0f] | 1980 | |
---|
| 1981 | class poly_tree_node |
---|
| 1982 | { |
---|
[4f858ce] | 1983 | public: |
---|
| 1984 | poly p; |
---|
[410ea0f] | 1985 | poly_tree_node *l; |
---|
| 1986 | poly_tree_node *r; |
---|
[4f858ce] | 1987 | int n; |
---|
[db83bf] | 1988 | poly_tree_node (int sn):l (NULL), r (NULL), n (sn) |
---|
[410ea0f] | 1989 | { |
---|
| 1990 | } |
---|
[4f858ce] | 1991 | }; |
---|
[410ea0f] | 1992 | class exp_number_builder |
---|
| 1993 | { |
---|
[4f858ce] | 1994 | public: |
---|
[410ea0f] | 1995 | poly_tree_node * top_level; |
---|
[4f858ce] | 1996 | int n; |
---|
[410ea0f] | 1997 | int get_n (poly p); |
---|
[db83bf] | 1998 | exp_number_builder ():top_level (0), n (0) |
---|
[410ea0f] | 1999 | { |
---|
| 2000 | } |
---|
[4f858ce] | 2001 | }; |
---|
[db83bf] | 2002 | int exp_number_builder::get_n (poly p) |
---|
[2fc974] | 2003 | { |
---|
[410ea0f] | 2004 | poly_tree_node **node = &top_level; |
---|
[db83bf] | 2005 | while(*node != NULL) |
---|
[410ea0f] | 2006 | { |
---|
| 2007 | int c = pLmCmp (p, (*node)->p); |
---|
[db83bf] | 2008 | if(c == 0) |
---|
[410ea0f] | 2009 | return (*node)->n; |
---|
[db83bf] | 2010 | if(c == -1) |
---|
[410ea0f] | 2011 | node = &((*node)->r); |
---|
[4f858ce] | 2012 | else |
---|
[410ea0f] | 2013 | node = &((*node)->l); |
---|
[4f858ce] | 2014 | } |
---|
[410ea0f] | 2015 | (*node) = new poly_tree_node (n); |
---|
[4f858ce] | 2016 | n++; |
---|
[410ea0f] | 2017 | (*node)->p = pLmInit (p); |
---|
[4f858ce] | 2018 | return (*node)->n; |
---|
| 2019 | } |
---|
| 2020 | |
---|
| 2021 | //mac_polys exp are smaller iff they are greater by monomial ordering |
---|
| 2022 | //corresponding to solving linear equations notation |
---|
[196cdf] | 2023 | |
---|
[b553e5] | 2024 | //! obsolete |
---|
[410ea0f] | 2025 | struct int_poly_pair |
---|
| 2026 | { |
---|
[4f858ce] | 2027 | poly p; |
---|
| 2028 | int n; |
---|
| 2029 | }; |
---|
| 2030 | |
---|
[196cdf] | 2031 | |
---|
[b553e5] | 2032 | //! obsolete |
---|
[db83bf] | 2033 | void t2ippa_rec (poly * ip, int *ia, poly_tree_node * k, int &offset) |
---|
[2fc974] | 2034 | { |
---|
[db83bf] | 2035 | if(!k) |
---|
[410ea0f] | 2036 | return; |
---|
| 2037 | t2ippa_rec (ip, ia, k->l, offset); |
---|
| 2038 | ip[offset] = k->p; |
---|
| 2039 | ia[k->n] = offset; |
---|
| 2040 | ++offset; |
---|
[4f858ce] | 2041 | |
---|
[410ea0f] | 2042 | t2ippa_rec (ip, ia, k->r, offset); |
---|
| 2043 | delete k; |
---|
| 2044 | } |
---|
[196cdf] | 2045 | |
---|
[b553e5] | 2046 | //! obsolete |
---|
[db83bf] | 2047 | void t2ippa (poly * ip, int *ia, exp_number_builder & e) |
---|
[2fc974] | 2048 | { |
---|
[4f858ce] | 2049 | |
---|
[410ea0f] | 2050 | int o = 0; |
---|
| 2051 | t2ippa_rec (ip, ia, e.top_level, o); |
---|
[4f858ce] | 2052 | } |
---|
[410ea0f] | 2053 | |
---|
[db83bf] | 2054 | int anti_poly_order (const void *a, const void *b) |
---|
[2fc974] | 2055 | { |
---|
[410ea0f] | 2056 | return -pLmCmp (((int_poly_pair *) a)->p, ((int_poly_pair *) b)->p); |
---|
[4f858ce] | 2057 | } |
---|
[81306a] | 2058 | |
---|
[db83bf] | 2059 | BOOLEAN is_valid_ro (red_object & ro) |
---|
[2fc974] | 2060 | { |
---|
[410ea0f] | 2061 | red_object r2 = ro; |
---|
| 2062 | ro.validate (); |
---|
[db83bf] | 2063 | if((r2.p != ro.p) || (r2.sev != ro.sev)) |
---|
[410ea0f] | 2064 | return FALSE; |
---|
[4f858ce] | 2065 | return TRUE; |
---|
| 2066 | } |
---|
[410ea0f] | 2067 | |
---|
[db83bf] | 2068 | int terms_sort_crit (const void *a, const void *b) |
---|
[2fc974] | 2069 | { |
---|
[410ea0f] | 2070 | return -pLmCmp (*((poly *) a), *((poly *) b)); |
---|
[b68048] | 2071 | } |
---|
[410ea0f] | 2072 | |
---|
[db83bf] | 2073 | #if 0 // currently unused |
---|
| 2074 | static void unify_terms (poly * terms, int &sum) |
---|
[2fc974] | 2075 | { |
---|
[db83bf] | 2076 | if(sum == 0) |
---|
[410ea0f] | 2077 | return; |
---|
| 2078 | int last = 0; |
---|
| 2079 | int curr = 1; |
---|
[db83bf] | 2080 | while(curr < sum) |
---|
[2fc974] | 2081 | { |
---|
[db83bf] | 2082 | if(!(pLmEqual (terms[curr], terms[last]))) |
---|
[2fc974] | 2083 | { |
---|
[410ea0f] | 2084 | terms[++last] = terms[curr]; |
---|
[b68048] | 2085 | } |
---|
| 2086 | ++curr; |
---|
| 2087 | } |
---|
[410ea0f] | 2088 | sum = last + 1; |
---|
[b68048] | 2089 | } |
---|
[a41623] | 2090 | #endif |
---|
[db83bf] | 2091 | #if 0 // currently unused |
---|
[410ea0f] | 2092 | static void |
---|
| 2093 | export_mat (number * number_array, int pn, int tn, const char *format_str, |
---|
[db83bf] | 2094 | int mat_nr) |
---|
[2fc974] | 2095 | { |
---|
[b68048] | 2096 | char matname[20]; |
---|
[410ea0f] | 2097 | sprintf (matname, format_str, mat_nr); |
---|
| 2098 | FILE *out = fopen (matname, "w"); |
---|
| 2099 | int i, j; |
---|
| 2100 | fprintf (out, "mat=[\n"); |
---|
[db83bf] | 2101 | for(i = 0; i < pn; i++) |
---|
[410ea0f] | 2102 | { |
---|
| 2103 | fprintf (out, "[\n"); |
---|
[db83bf] | 2104 | for(j = 0; j < tn; j++) |
---|
[6a2e9c] | 2105 | { |
---|
[db83bf] | 2106 | if(j > 0) |
---|
[cf74cd6] | 2107 | { |
---|
[db83bf] | 2108 | fprintf (out, ", "); |
---|
[b68048] | 2109 | } |
---|
[410ea0f] | 2110 | fprintf (out, "%i", npInt (number_array[i * tn + j], currRing)); |
---|
[b68048] | 2111 | } |
---|
[db83bf] | 2112 | if(i < pn - 1) |
---|
[410ea0f] | 2113 | fprintf (out, "],\n"); |
---|
[b68048] | 2114 | else |
---|
[410ea0f] | 2115 | fprintf (out, "],\n"); |
---|
[b68048] | 2116 | } |
---|
[410ea0f] | 2117 | fprintf (out, "]\n"); |
---|
| 2118 | fclose (out); |
---|
[b68048] | 2119 | } |
---|
[a41623] | 2120 | #endif |
---|
[abce2e] | 2121 | //typedef unsigned short number_type; |
---|
[ebe987] | 2122 | |
---|
[e9ade0f] | 2123 | |
---|
[ebe987] | 2124 | #ifdef USE_NORO |
---|
| 2125 | #ifndef NORO_CACHE |
---|
[410ea0f] | 2126 | static void |
---|
| 2127 | linalg_step_modp (poly * p, poly * p_out, int &pn, poly * terms, int tn, |
---|
[db83bf] | 2128 | slimgb_alg * c) |
---|
[2fc974] | 2129 | { |
---|
[410ea0f] | 2130 | static int export_n = 0; |
---|
| 2131 | assume (terms[tn - 1] != NULL); |
---|
| 2132 | assume (rField_is_Zp (c->r)); |
---|
[ebe987] | 2133 | //I don't do deletes, copies of number_types ... |
---|
[db83bf] | 2134 | const number_type zero = 0; //npInit(0); |
---|
[410ea0f] | 2135 | int array_size = pn * tn; |
---|
| 2136 | number_type *number_array = |
---|
| 2137 | (number_type *) omalloc (pn * tn * sizeof (number_type)); |
---|
[b68048] | 2138 | int i; |
---|
[db83bf] | 2139 | for(i = 0; i < array_size; i++) |
---|
[2fc974] | 2140 | { |
---|
[410ea0f] | 2141 | number_array[i] = zero; |
---|
[b68048] | 2142 | } |
---|
[db83bf] | 2143 | for(i = 0; i < pn; i++) |
---|
[2fc974] | 2144 | { |
---|
[410ea0f] | 2145 | poly h = p[i]; |
---|
[8ba479] | 2146 | //int base=tn*i; |
---|
[410ea0f] | 2147 | write_poly_to_row (number_array + tn * i, h, terms, tn, c->r); |
---|
[8ba479] | 2148 | |
---|
[b68048] | 2149 | } |
---|
| 2150 | #if 0 |
---|
| 2151 | //export matrix |
---|
[410ea0f] | 2152 | export_mat (number_array, pn, tn, "mat%i.py", ++export_n); |
---|
[b68048] | 2153 | #endif |
---|
[410ea0f] | 2154 | int rank = pn; |
---|
| 2155 | simplest_gauss_modp (number_array, rank, tn); |
---|
| 2156 | int act_row = 0; |
---|
| 2157 | int p_pos = 0; |
---|
[db83bf] | 2158 | for(i = 0; i < pn; i++) |
---|
[2fc974] | 2159 | { |
---|
[410ea0f] | 2160 | poly h = NULL; |
---|
[b68048] | 2161 | int j; |
---|
[410ea0f] | 2162 | int base = tn * i; |
---|
| 2163 | number *row = number_array + base; |
---|
| 2164 | h = row_to_poly (row, terms, tn, c->r); |
---|
[6a2e9c] | 2165 | |
---|
[db83bf] | 2166 | if(h != NULL) |
---|
[410ea0f] | 2167 | { |
---|
| 2168 | p_out[p_pos++] = h; |
---|
| 2169 | } |
---|
[b68048] | 2170 | } |
---|
[410ea0f] | 2171 | pn = p_pos; |
---|
[b68048] | 2172 | //assert(p_pos==rank) |
---|
[db83bf] | 2173 | while(p_pos < pn) |
---|
[2fc974] | 2174 | { |
---|
[410ea0f] | 2175 | p_out[p_pos++] = NULL; |
---|
[b68048] | 2176 | } |
---|
| 2177 | #if 0 |
---|
[410ea0f] | 2178 | export_mat (number_array, pn, tn, "mat%i.py", ++export_n); |
---|
[b68048] | 2179 | #endif |
---|
| 2180 | } |
---|
[ebe987] | 2181 | #endif |
---|
[6a2e9c] | 2182 | #endif |
---|
[db83bf] | 2183 | static void mass_add (poly * p, int pn, slimgb_alg * c) |
---|
[2fc974] | 2184 | { |
---|
[410ea0f] | 2185 | int j; |
---|
| 2186 | int *ibuf = (int *) omalloc (pn * sizeof (int)); |
---|
| 2187 | sorted_pair_node ***sbuf = |
---|
| 2188 | (sorted_pair_node ***) omalloc (pn * sizeof (sorted_pair_node **)); |
---|
[db83bf] | 2189 | for(j = 0; j < pn; j++) |
---|
[410ea0f] | 2190 | { |
---|
| 2191 | p_Test (p[j], c->r); |
---|
| 2192 | sbuf[j] = add_to_basis_ideal_quotient (p[j], c, ibuf + j); |
---|
| 2193 | } |
---|
| 2194 | int sum = 0; |
---|
[db83bf] | 2195 | for(j = 0; j < pn; j++) |
---|
[410ea0f] | 2196 | { |
---|
| 2197 | sum += ibuf[j]; |
---|
| 2198 | } |
---|
| 2199 | sorted_pair_node **big_sbuf = |
---|
| 2200 | (sorted_pair_node **) omalloc (sum * sizeof (sorted_pair_node *)); |
---|
| 2201 | int partsum = 0; |
---|
[db83bf] | 2202 | for(j = 0; j < pn; j++) |
---|
[410ea0f] | 2203 | { |
---|
| 2204 | memmove (big_sbuf + partsum, sbuf[j], |
---|
[db83bf] | 2205 | ibuf[j] * sizeof (sorted_pair_node *)); |
---|
[410ea0f] | 2206 | omfree (sbuf[j]); |
---|
| 2207 | partsum += ibuf[j]; |
---|
| 2208 | } |
---|
| 2209 | |
---|
| 2210 | qsort (big_sbuf, sum, sizeof (sorted_pair_node *), tgb_pair_better_gen2); |
---|
| 2211 | c->apairs = spn_merge (c->apairs, c->pair_top + 1, big_sbuf, sum, c); |
---|
| 2212 | c->pair_top += sum; |
---|
| 2213 | clean_top_of_pair_list (c); |
---|
| 2214 | omfree (big_sbuf); |
---|
| 2215 | omfree (sbuf); |
---|
| 2216 | omfree (ibuf); |
---|
| 2217 | //omfree(buf); |
---|
| 2218 | #ifdef TGB_DEBUG |
---|
| 2219 | int z; |
---|
[db83bf] | 2220 | for(z = 1; z <= c->pair_top; z++) |
---|
[410ea0f] | 2221 | { |
---|
| 2222 | assume (pair_better (c->apairs[z], c->apairs[z - 1], c)); |
---|
| 2223 | } |
---|
| 2224 | #endif |
---|
[6a2e9c] | 2225 | |
---|
[b68048] | 2226 | } |
---|
[89b59f] | 2227 | |
---|
| 2228 | #ifdef NORO_CACHE |
---|
[5ac8e5] | 2229 | #ifndef NORO_NON_POLY |
---|
[db83bf] | 2230 | void NoroCache::evaluateRows () |
---|
[2fc974] | 2231 | { |
---|
[0cf2ccd] | 2232 | //after that can evaluate placeholders |
---|
| 2233 | int i; |
---|
[410ea0f] | 2234 | buffer = (number *) omalloc (nIrreducibleMonomials * sizeof (number)); |
---|
[db83bf] | 2235 | for(i = 0; i < root.branches_len; i++) |
---|
[2fc974] | 2236 | { |
---|
[410ea0f] | 2237 | evaluateRows (1, root.branches[i]); |
---|
[0cf2ccd] | 2238 | } |
---|
[410ea0f] | 2239 | omfree (buffer); |
---|
| 2240 | buffer = NULL; |
---|
[0cf2ccd] | 2241 | } |
---|
[410ea0f] | 2242 | |
---|
[db83bf] | 2243 | void NoroCache::evaluateRows (int level, NoroCacheNode * node) |
---|
[2fc974] | 2244 | { |
---|
[410ea0f] | 2245 | assume (level >= 0); |
---|
[db83bf] | 2246 | if(node == NULL) |
---|
[410ea0f] | 2247 | return; |
---|
[1f637e] | 2248 | if(level < (currRing->N)) |
---|
[2fc974] | 2249 | { |
---|
[410ea0f] | 2250 | int i, sum; |
---|
[db83bf] | 2251 | for(i = 0; i < node->branches_len; i++) |
---|
[2fc974] | 2252 | { |
---|
[410ea0f] | 2253 | evaluateRows (level + 1, node->branches[i]); |
---|
[0cf2ccd] | 2254 | } |
---|
[2fc974] | 2255 | } |
---|
| 2256 | else |
---|
| 2257 | { |
---|
[410ea0f] | 2258 | DataNoroCacheNode *dn = (DataNoroCacheNode *) node; |
---|
[db83bf] | 2259 | if(dn->value_len != backLinkCode) |
---|
[2fc974] | 2260 | { |
---|
[410ea0f] | 2261 | poly p = dn->value_poly; |
---|
| 2262 | #ifndef NORO_SPARSE_ROWS_PRE |
---|
| 2263 | dn->row = new DenseRow (); |
---|
| 2264 | DenseRow *row = dn->row; |
---|
| 2265 | memset (buffer, 0, sizeof (number) * nIrreducibleMonomials); |
---|
| 2266 | |
---|
[db83bf] | 2267 | if(p == NULL) |
---|
[410ea0f] | 2268 | { |
---|
[db83bf] | 2269 | row->array = NULL; |
---|
| 2270 | row->begin = 0; |
---|
| 2271 | row->end = 0; |
---|
| 2272 | return; |
---|
[410ea0f] | 2273 | } |
---|
| 2274 | int i = 0; |
---|
[06ee23] | 2275 | int idx; |
---|
[410ea0f] | 2276 | number *a = buffer; |
---|
[db83bf] | 2277 | while(p) |
---|
[2fc974] | 2278 | { |
---|
[db83bf] | 2279 | DataNoroCacheNode *ref = getCacheReference (p); |
---|
| 2280 | |
---|
| 2281 | idx = ref->term_index; |
---|
| 2282 | assume (idx >= 0); |
---|
| 2283 | a[idx] = p_GetCoeff (p, currRing); |
---|
| 2284 | if(i == 0) |
---|
| 2285 | row->begin = idx; |
---|
| 2286 | i++; |
---|
| 2287 | pIter (p); |
---|
[06ee23] | 2288 | } |
---|
[410ea0f] | 2289 | row->end = idx + 1; |
---|
| 2290 | assume (row->end > row->begin); |
---|
| 2291 | int len = row->end - row->begin; |
---|
| 2292 | row->array = (number *) omalloc ((len) * sizeof (number)); |
---|
| 2293 | memcpy (row->array, a + row->begin, len * sizeof (number)); |
---|
| 2294 | #else |
---|
| 2295 | assume (dn->value_len == pLength (dn->value_poly)); |
---|
| 2296 | dn->row = new SparseRow (dn->value_len); |
---|
| 2297 | SparseRow *row = dn->row; |
---|
| 2298 | int i = 0; |
---|
[db83bf] | 2299 | while(p) |
---|
[2fc974] | 2300 | { |
---|
[db83bf] | 2301 | DataNoroCacheNode *ref = getCacheReference (p); |
---|
| 2302 | |
---|
| 2303 | int idx = ref->term_index; |
---|
| 2304 | assume (idx >= 0); |
---|
| 2305 | row->idx_array[i] = idx; |
---|
| 2306 | row->coef_array[i] = p_GetCoeff (p, currRing); |
---|
| 2307 | i++; |
---|
| 2308 | pIter (p); |
---|
[9f11ab] | 2309 | } |
---|
[db83bf] | 2310 | if(i != dn->value_len) |
---|
[2fc974] | 2311 | { |
---|
[db83bf] | 2312 | PrintS ("F4 calc wrong, as poly len was wrong\n"); |
---|
[9f11ab] | 2313 | } |
---|
[410ea0f] | 2314 | assume (i == dn->value_len); |
---|
| 2315 | #endif |
---|
[6a2e9c] | 2316 | } |
---|
[0cf2ccd] | 2317 | } |
---|
| 2318 | } |
---|
[5ac8e5] | 2319 | |
---|
[410ea0f] | 2320 | void |
---|
[db83bf] | 2321 | NoroCache::evaluatePlaceHolder (number * row, |
---|
| 2322 | std::vector < NoroPlaceHolder > |
---|
| 2323 | &place_holders) |
---|
[2fc974] | 2324 | { |
---|
[0cf2ccd] | 2325 | int i; |
---|
[410ea0f] | 2326 | int s = place_holders.size (); |
---|
[db83bf] | 2327 | for(i = 0; i < s; i++) |
---|
[2fc974] | 2328 | { |
---|
[410ea0f] | 2329 | DataNoroCacheNode *ref = place_holders[i].ref; |
---|
| 2330 | number coef = place_holders[i].coef; |
---|
[db83bf] | 2331 | if(ref->value_len == backLinkCode) |
---|
[2fc974] | 2332 | { |
---|
[410ea0f] | 2333 | row[ref->term_index] = npAddM (row[ref->term_index], coef); |
---|
[2fc974] | 2334 | } |
---|
| 2335 | else |
---|
| 2336 | { |
---|
[410ea0f] | 2337 | #ifndef NORO_SPARSE_ROWS_PRE |
---|
| 2338 | DenseRow *ref_row = ref->row; |
---|
[db83bf] | 2339 | if(ref_row == NULL) |
---|
| 2340 | continue; |
---|
[410ea0f] | 2341 | number *ref_begin = ref_row->array; |
---|
| 2342 | number *ref_end = ref_row->array + (ref_row->end - ref_row->begin); |
---|
| 2343 | number *my_pos = row + ref_row->begin; |
---|
[06ee23] | 2344 | //TODO npisOne distinction |
---|
[db83bf] | 2345 | if(!(npIsOne (coef))) |
---|
[2fc974] | 2346 | { |
---|
[db83bf] | 2347 | while(ref_begin != ref_end) |
---|
| 2348 | { |
---|
[f23852] | 2349 | |
---|
[db83bf] | 2350 | *my_pos = npAddM (*my_pos, npMult (coef, *ref_begin)); |
---|
| 2351 | ++ref_begin; |
---|
| 2352 | ++my_pos; |
---|
| 2353 | } |
---|
[f23852] | 2354 | } |
---|
[2fc974] | 2355 | else |
---|
| 2356 | { |
---|
[db83bf] | 2357 | while(ref_begin != ref_end) |
---|
| 2358 | { |
---|
[f23852] | 2359 | |
---|
[db83bf] | 2360 | *my_pos = npAddM (*my_pos, *ref_begin); |
---|
| 2361 | ++ref_begin; |
---|
| 2362 | ++my_pos; |
---|
| 2363 | } |
---|
[f23852] | 2364 | } |
---|
| 2365 | |
---|
[410ea0f] | 2366 | #else |
---|
| 2367 | SparseRow *ref_row = ref->row; |
---|
[db83bf] | 2368 | if(ref_row == NULL) |
---|
| 2369 | continue; |
---|
[410ea0f] | 2370 | int n = ref_row->len; |
---|
| 2371 | int j; |
---|
| 2372 | int *idx_array = ref_row->idx_array; |
---|
| 2373 | number *coef_array = ref_row->coef_array; |
---|
[db83bf] | 2374 | for(j = 0; j < n; j++) |
---|
[410ea0f] | 2375 | { |
---|
[db83bf] | 2376 | int idx = idx_array[j]; |
---|
| 2377 | number ref_coef = coef_array[j]; |
---|
| 2378 | row[idx] = npAddM (row[idx], npMult (coef, ref_coef)); |
---|
[410ea0f] | 2379 | } |
---|
| 2380 | #endif |
---|
[9f11ab] | 2381 | } |
---|
[e01da4] | 2382 | } |
---|
[0cf2ccd] | 2383 | } |
---|
[5ac8e5] | 2384 | #endif |
---|
| 2385 | |
---|
| 2386 | //poly noro_red_non_unique(poly p, int &len, NoroCache* cache,slimgb_alg* c); |
---|
[89b59f] | 2387 | |
---|
[5ac8e5] | 2388 | #ifndef NORO_NON_POLY |
---|
[410ea0f] | 2389 | MonRedRes |
---|
| 2390 | noro_red_mon (poly t, BOOLEAN force_unique, NoroCache * cache, slimgb_alg * c) |
---|
[2fc974] | 2391 | { |
---|
[fb0a2c0] | 2392 | MonRedRes res_holder; |
---|
[0cf2ccd] | 2393 | |
---|
[89b59f] | 2394 | //wrp(t); |
---|
[410ea0f] | 2395 | res_holder.changed = TRUE; |
---|
[db83bf] | 2396 | if(force_unique) |
---|
[2fc974] | 2397 | { |
---|
[410ea0f] | 2398 | DataNoroCacheNode *ref = cache->getCacheReference (t); |
---|
[db83bf] | 2399 | if(ref != NULL) |
---|
[2fc974] | 2400 | { |
---|
[410ea0f] | 2401 | res_holder.len = ref->value_len; |
---|
[db83bf] | 2402 | if(res_holder.len == NoroCache::backLinkCode) |
---|
[2fc974] | 2403 | { |
---|
[db83bf] | 2404 | res_holder.len = 1; |
---|
[b16a613] | 2405 | } |
---|
[410ea0f] | 2406 | res_holder.coef = p_GetCoeff (t, c->r); |
---|
| 2407 | res_holder.p = ref->value_poly; |
---|
| 2408 | res_holder.ref = ref; |
---|
| 2409 | res_holder.onlyBorrowed = TRUE; |
---|
| 2410 | res_holder.changed = TRUE; |
---|
| 2411 | p_Delete (&t, c->r); |
---|
[b16a613] | 2412 | return res_holder; |
---|
| 2413 | } |
---|
[2fc974] | 2414 | } |
---|
| 2415 | else |
---|
| 2416 | { |
---|
[0cf2ccd] | 2417 | BOOLEAN succ; |
---|
[db83bf] | 2418 | poly cache_lookup = cache->lookup (t, succ, res_holder.len); //don't own this yet |
---|
| 2419 | if(succ) |
---|
[2fc974] | 2420 | { |
---|
[db83bf] | 2421 | if(cache_lookup == t) |
---|
[2fc974] | 2422 | { |
---|
[db83bf] | 2423 | //know they are equal |
---|
| 2424 | //res_holder.len=1; |
---|
[0cf2ccd] | 2425 | |
---|
[db83bf] | 2426 | res_holder.changed = FALSE; |
---|
| 2427 | res_holder.p = t; |
---|
| 2428 | res_holder.coef = npInit (1); |
---|
[6a2e9c] | 2429 | |
---|
[db83bf] | 2430 | res_holder.onlyBorrowed = FALSE; |
---|
| 2431 | return res_holder; |
---|
[0cf2ccd] | 2432 | } |
---|
[421e42] | 2433 | |
---|
[410ea0f] | 2434 | res_holder.coef = p_GetCoeff (t, c->r); |
---|
| 2435 | p_Delete (&t, c->r); |
---|
[421e42] | 2436 | |
---|
[410ea0f] | 2437 | res_holder.p = cache_lookup; |
---|
[0cf2ccd] | 2438 | |
---|
[410ea0f] | 2439 | res_holder.onlyBorrowed = TRUE; |
---|
[0cf2ccd] | 2440 | return res_holder; |
---|
[421e42] | 2441 | |
---|
[0cf2ccd] | 2442 | } |
---|
[b16a613] | 2443 | } |
---|
[0cf2ccd] | 2444 | |
---|
[410ea0f] | 2445 | unsigned long sev = p_GetShortExpVector (t, currRing); |
---|
| 2446 | int i = kFindDivisibleByInS_easy (c->strat, t, sev); |
---|
[db83bf] | 2447 | if(i >= 0) |
---|
[77afcd] | 2448 | { |
---|
[410ea0f] | 2449 | number coef_bak = p_GetCoeff (t, c->r); |
---|
[0cf2ccd] | 2450 | |
---|
[410ea0f] | 2451 | p_SetCoeff (t, npInit (1), c->r); |
---|
| 2452 | assume (npIsOne (p_GetCoeff (c->strat->S[i], c->r))); |
---|
| 2453 | number coefstrat = p_GetCoeff (c->strat->S[i], c->r); |
---|
[0cf2ccd] | 2454 | |
---|
[410ea0f] | 2455 | //poly t_copy_mon=p_Copy(t,c->r); |
---|
| 2456 | poly exp_diff = cache->temp_term; |
---|
| 2457 | p_ExpVectorDiff (exp_diff, t, c->strat->S[i], c->r); |
---|
| 2458 | p_SetCoeff (exp_diff, npNeg (nInvers (coefstrat)), c->r); |
---|
| 2459 | // nInvers may be npInvers or nvInvers |
---|
| 2460 | p_Setm (exp_diff, c->r); |
---|
| 2461 | assume (c->strat->S[i] != NULL); |
---|
| 2462 | //poly t_to_del=t; |
---|
[0cf2ccd] | 2463 | poly res; |
---|
[410ea0f] | 2464 | res = pp_Mult_mm (pNext (c->strat->S[i]), exp_diff, c->r); |
---|
| 2465 | |
---|
| 2466 | res_holder.len = c->strat->lenS[i] - 1; |
---|
| 2467 | res = noro_red_non_unique (res, res_holder.len, cache, c); |
---|
| 2468 | |
---|
| 2469 | DataNoroCacheNode *ref = cache->insert (t, res, res_holder.len); |
---|
| 2470 | p_Delete (&t, c->r); |
---|
| 2471 | //p_Delete(&t_copy_mon,c->r); |
---|
| 2472 | //res=pMult_nn(res,coef_bak); |
---|
| 2473 | res_holder.changed = TRUE; |
---|
| 2474 | res_holder.p = res; |
---|
| 2475 | res_holder.coef = coef_bak; |
---|
| 2476 | res_holder.onlyBorrowed = TRUE; |
---|
| 2477 | res_holder.ref = ref; |
---|
[0cf2ccd] | 2478 | return res_holder; |
---|
[2fc974] | 2479 | } |
---|
| 2480 | else |
---|
| 2481 | { |
---|
[410ea0f] | 2482 | number coef_bak = p_GetCoeff (t, c->r); |
---|
| 2483 | number one = npInit (1); |
---|
| 2484 | p_SetCoeff (t, one, c->r); |
---|
| 2485 | res_holder.len = 1; |
---|
[db83bf] | 2486 | if(!(force_unique)) |
---|
[2fc974] | 2487 | { |
---|
[410ea0f] | 2488 | res_holder.ref = cache->insert (t, t, res_holder.len); |
---|
| 2489 | p_SetCoeff (t, coef_bak, c->r); |
---|
[fb0a2c0] | 2490 | //return t; |
---|
[0cf2ccd] | 2491 | |
---|
[b16a613] | 2492 | //we need distinction |
---|
[410ea0f] | 2493 | res_holder.changed = FALSE; |
---|
| 2494 | res_holder.p = t; |
---|
[0cf2ccd] | 2495 | |
---|
[410ea0f] | 2496 | res_holder.coef = npInit (1); |
---|
| 2497 | res_holder.onlyBorrowed = FALSE; |
---|
[fb0a2c0] | 2498 | return res_holder; |
---|
[2fc974] | 2499 | } |
---|
| 2500 | else |
---|
| 2501 | { |
---|
[410ea0f] | 2502 | res_holder.ref = cache->insertAndTransferOwnerShip (t, c->r); |
---|
| 2503 | res_holder.coef = coef_bak; |
---|
| 2504 | res_holder.onlyBorrowed = TRUE; |
---|
| 2505 | res_holder.changed = FALSE; |
---|
| 2506 | res_holder.p = t; |
---|
[0cf2ccd] | 2507 | return res_holder; |
---|
[89b59f] | 2508 | } |
---|
[0cf2ccd] | 2509 | } |
---|
| 2510 | |
---|
[89b59f] | 2511 | } |
---|
[5ac8e5] | 2512 | #endif |
---|
| 2513 | //SparseRow* noro_red_to_non_poly(poly p, int &len, NoroCache* cache,slimgb_alg* c); |
---|
| 2514 | #ifndef NORO_NON_POLY |
---|
[89b59f] | 2515 | //len input and out: Idea: reverse addition |
---|
[db83bf] | 2516 | poly noro_red_non_unique (poly p, int &len, NoroCache * cache, slimgb_alg * c) |
---|
[2fc974] | 2517 | { |
---|
[410ea0f] | 2518 | assume (len == pLength (p)); |
---|
| 2519 | poly orig_p = p; |
---|
[db83bf] | 2520 | if(p == NULL) |
---|
[410ea0f] | 2521 | { |
---|
| 2522 | len = 0; |
---|
[89b59f] | 2523 | return NULL; |
---|
| 2524 | } |
---|
[410ea0f] | 2525 | kBucket_pt bucket = kBucketCreate (currRing); |
---|
| 2526 | kBucketInit (bucket, NULL, 0); |
---|
| 2527 | poly unchanged_head = NULL; |
---|
| 2528 | poly unchanged_tail = NULL; |
---|
| 2529 | int unchanged_size = 0; |
---|
[b16a613] | 2530 | |
---|
[db83bf] | 2531 | while(p) |
---|
[2fc974] | 2532 | { |
---|
[410ea0f] | 2533 | poly t = p; |
---|
| 2534 | pIter (p); |
---|
| 2535 | pNext (t) = NULL; |
---|
[0cf2ccd] | 2536 | #ifndef NDEBUG |
---|
[410ea0f] | 2537 | number coef_debug = p_GetCoeff (t, currRing); |
---|
[0cf2ccd] | 2538 | #endif |
---|
[410ea0f] | 2539 | MonRedRes red = noro_red_mon (t, FALSE, cache, c); |
---|
[db83bf] | 2540 | if((!(red.changed)) && (!(red.onlyBorrowed))) |
---|
[2fc974] | 2541 | { |
---|
[89b59f] | 2542 | unchanged_size++; |
---|
[410ea0f] | 2543 | assume (npIsOne (red.coef)); |
---|
| 2544 | assume (p_GetCoeff (red.p, currRing) == coef_debug); |
---|
[db83bf] | 2545 | if(unchanged_head) |
---|
[2fc974] | 2546 | { |
---|
[db83bf] | 2547 | pNext (unchanged_tail) = red.p; |
---|
| 2548 | pIter (unchanged_tail); |
---|
[2fc974] | 2549 | } |
---|
| 2550 | else |
---|
| 2551 | { |
---|
[db83bf] | 2552 | unchanged_tail = red.p; |
---|
| 2553 | unchanged_head = red.p; |
---|
[89b59f] | 2554 | } |
---|
[2fc974] | 2555 | } |
---|
| 2556 | else |
---|
| 2557 | { |
---|
[410ea0f] | 2558 | assume (red.len == pLength (red.p)); |
---|
[db83bf] | 2559 | if(red.onlyBorrowed) |
---|
[2fc974] | 2560 | { |
---|
[db83bf] | 2561 | if(npIsOne (red.coef)) |
---|
| 2562 | { |
---|
| 2563 | t = p_Copy (red.p, currRing); |
---|
| 2564 | } |
---|
| 2565 | else |
---|
| 2566 | t = pp_Mult_nn (red.p, red.coef, currRing); |
---|
[2fc974] | 2567 | } |
---|
| 2568 | else |
---|
| 2569 | { |
---|
[db83bf] | 2570 | if(npIsOne (red.coef)) |
---|
| 2571 | t = red.p; |
---|
| 2572 | else |
---|
| 2573 | t = p_Mult_nn (red.p, red.coef, currRing); |
---|
[0cf2ccd] | 2574 | } |
---|
[410ea0f] | 2575 | kBucket_Add_q (bucket, t, &red.len); |
---|
[89b59f] | 2576 | } |
---|
| 2577 | } |
---|
[410ea0f] | 2578 | poly res = NULL; |
---|
| 2579 | len = 0; |
---|
| 2580 | kBucket_Add_q (bucket, unchanged_head, &unchanged_size); |
---|
| 2581 | kBucketClear (bucket, &res, &len); |
---|
| 2582 | kBucketDestroy (&bucket); |
---|
[89b59f] | 2583 | return res; |
---|
| 2584 | } |
---|
[5ac8e5] | 2585 | #endif |
---|
[e01da4] | 2586 | #ifdef NORO_SPARSE_ROWS_PRE |
---|
| 2587 | //len input and out: Idea: reverse addition |
---|
[b16a613] | 2588 | |
---|
[2fc974] | 2589 | /*template <class number_type> SparseRow<number_type>* noro_red_to_non_poly(poly p, int &len, NoroCache<number_type>* cache,slimgb_alg* c) |
---|
| 2590 | * { |
---|
| 2591 | if (npPrimeM<255) |
---|
| 2592 | { |
---|
[abce2e] | 2593 | return noro_red_to_non_poly_t<tgb_uint8>(p,len,cache,c); |
---|
[2fc974] | 2594 | } |
---|
| 2595 | else |
---|
| 2596 | { |
---|
| 2597 | if (npPrimeM<65000) |
---|
| 2598 | { |
---|
[abce2e] | 2599 | return noro_red_to_non_poly_t<tgb_uint16>(p,len,cache,c); |
---|
[2fc974] | 2600 | } |
---|
| 2601 | else |
---|
| 2602 | { |
---|
[abce2e] | 2603 | return noro_red_to_non_poly_t<tgb_uint32>(p,len,cache,c); |
---|
[421e42] | 2604 | } |
---|
| 2605 | } |
---|
[5ac8e5] | 2606 | }*/ |
---|
[e01da4] | 2607 | #endif |
---|
[b16a613] | 2608 | //len input and out: Idea: reverse addition |
---|
[8e086c] | 2609 | #ifndef NORO_NON_POLY |
---|
[410ea0f] | 2610 | std::vector < NoroPlaceHolder > noro_red (poly p, int &len, NoroCache * cache, |
---|
[db83bf] | 2611 | slimgb_alg * c) |
---|
[410ea0f] | 2612 | { |
---|
| 2613 | std::vector < NoroPlaceHolder > res; |
---|
[db83bf] | 2614 | while(p) |
---|
[410ea0f] | 2615 | { |
---|
| 2616 | poly t = p; |
---|
| 2617 | pIter (p); |
---|
| 2618 | pNext (t) = NULL; |
---|
| 2619 | |
---|
| 2620 | MonRedRes red = noro_red_mon (t, TRUE, cache, c); |
---|
| 2621 | assume (red.onlyBorrowed); |
---|
| 2622 | assume (red.coef); |
---|
| 2623 | assume (red.ref); |
---|
| 2624 | NoroPlaceHolder h; |
---|
| 2625 | h.ref = red.ref; |
---|
| 2626 | h.coef = red.coef; |
---|
| 2627 | assume (!((h.ref->value_poly == NULL) && (h.ref->value_len != 0))); |
---|
[db83bf] | 2628 | if(h.ref->value_poly) |
---|
[410ea0f] | 2629 | res.push_back (h); |
---|
| 2630 | } |
---|
| 2631 | return res; |
---|
[b16a613] | 2632 | } |
---|
[8e086c] | 2633 | #endif |
---|
[b16a613] | 2634 | |
---|
[a7d970] | 2635 | #endif |
---|
[ebe987] | 2636 | #ifdef USE_NORO |
---|
[b16a613] | 2637 | #ifndef NORO_CACHE |
---|
[db83bf] | 2638 | void noro_step (poly * p, int &pn, slimgb_alg * c) |
---|
[2fc974] | 2639 | { |
---|
[410ea0f] | 2640 | poly *reduced = (poly *) omalloc (pn * sizeof (poly)); |
---|
[b68048] | 2641 | int j; |
---|
[410ea0f] | 2642 | int *reduced_len = (int *) omalloc (pn * sizeof (int)); |
---|
| 2643 | int reduced_c = 0; |
---|
[89b59f] | 2644 | //if (TEST_OPT_PROT) |
---|
| 2645 | // PrintS("reduced system:\n"); |
---|
| 2646 | #ifdef NORO_CACHE |
---|
| 2647 | NoroCache cache; |
---|
| 2648 | #endif |
---|
[db83bf] | 2649 | for(j = 0; j < pn; j++) |
---|
[2fc974] | 2650 | { |
---|
[6a2e9c] | 2651 | |
---|
[410ea0f] | 2652 | poly h = p[j]; |
---|
| 2653 | int h_len = pLength (h); |
---|
[89b59f] | 2654 | |
---|
[b68048] | 2655 | number coef; |
---|
[89b59f] | 2656 | #ifndef NORO_CACHE |
---|
[410ea0f] | 2657 | h = redNF2 (p_Copy (h, c->r), c, h_len, coef, 0); |
---|
[89b59f] | 2658 | #else |
---|
[410ea0f] | 2659 | h = noro_red (p_Copy (h, c->r), h_len, &cache, c); |
---|
| 2660 | assume (pLength (h) == h_len); |
---|
[89b59f] | 2661 | #endif |
---|
[db83bf] | 2662 | if(h != NULL) |
---|
[2fc974] | 2663 | { |
---|
[89b59f] | 2664 | #ifndef NORO_CACHE |
---|
[6a2e9c] | 2665 | |
---|
[410ea0f] | 2666 | h = redNFTail (h, c->strat->sl, c->strat, h_len); |
---|
| 2667 | h_len = pLength (h); |
---|
[89b59f] | 2668 | #endif |
---|
[410ea0f] | 2669 | reduced[reduced_c] = h; |
---|
| 2670 | reduced_len[reduced_c] = h_len; |
---|
[b68048] | 2671 | reduced_c++; |
---|
[db83bf] | 2672 | if(TEST_OPT_PROT) |
---|
| 2673 | Print ("%d ", h_len); |
---|
[b68048] | 2674 | } |
---|
| 2675 | } |
---|
[410ea0f] | 2676 | int reduced_sum = 0; |
---|
[db83bf] | 2677 | for(j = 0; j < reduced_c; j++) |
---|
[2fc974] | 2678 | { |
---|
[410ea0f] | 2679 | reduced_sum += reduced_len[j]; |
---|
[b68048] | 2680 | } |
---|
[410ea0f] | 2681 | poly *terms = (poly *) omalloc (reduced_sum * sizeof (poly)); |
---|
| 2682 | int tc = 0; |
---|
[db83bf] | 2683 | for(j = 0; j < reduced_c; j++) |
---|
[2fc974] | 2684 | { |
---|
[410ea0f] | 2685 | poly h = reduced[j]; |
---|
[6a2e9c] | 2686 | |
---|
[db83bf] | 2687 | while(h != NULL) |
---|
[2fc974] | 2688 | { |
---|
[410ea0f] | 2689 | terms[tc++] = h; |
---|
| 2690 | pIter (h); |
---|
| 2691 | assume (tc <= reduced_sum); |
---|
[b68048] | 2692 | } |
---|
| 2693 | } |
---|
[410ea0f] | 2694 | assume (tc == reduced_sum); |
---|
| 2695 | qsort (terms, reduced_sum, sizeof (poly), terms_sort_crit); |
---|
| 2696 | int nterms = reduced_sum; |
---|
[f2b5839] | 2697 | //if (TEST_OPT_PROT) |
---|
| 2698 | //Print("orig estimation:%i\n",reduced_sum); |
---|
[410ea0f] | 2699 | unify_terms (terms, nterms); |
---|
[f2b5839] | 2700 | //if (TEST_OPT_PROT) |
---|
| 2701 | // Print("actual number of columns:%i\n",nterms); |
---|
[410ea0f] | 2702 | int rank = reduced_c; |
---|
| 2703 | linalg_step_modp (reduced, p, rank, terms, nterms, c); |
---|
| 2704 | omfree (terms); |
---|
[6a2e9c] | 2705 | |
---|
[410ea0f] | 2706 | pn = rank; |
---|
| 2707 | omfree (reduced); |
---|
[89b59f] | 2708 | |
---|
[db83bf] | 2709 | if(TEST_OPT_PROT) |
---|
[410ea0f] | 2710 | PrintS ("\n"); |
---|
[b68048] | 2711 | } |
---|
[b16a613] | 2712 | #else |
---|
[abce2e] | 2713 | |
---|
[b16a613] | 2714 | #endif |
---|
[ebe987] | 2715 | #endif |
---|
[db83bf] | 2716 | static void go_on (slimgb_alg * c) |
---|
[2fc974] | 2717 | { |
---|
[4f858ce] | 2718 | //set limit of 1000 for multireductions, at the moment for |
---|
| 2719 | //programming reasons |
---|
[410ea0f] | 2720 | #ifdef USE_NORO |
---|
[0cf2ccd] | 2721 | //Print("module rank%d\n",c->S->rank); |
---|
[410ea0f] | 2722 | const BOOLEAN use_noro = c->use_noro; |
---|
| 2723 | #else |
---|
| 2724 | const BOOLEAN use_noro = FALSE; |
---|
| 2725 | #endif |
---|
| 2726 | int i = 0; |
---|
| 2727 | c->average_length = 0; |
---|
[db83bf] | 2728 | for(i = 0; i < c->n; i++) |
---|
[2fc974] | 2729 | { |
---|
[410ea0f] | 2730 | c->average_length += c->lengths[i]; |
---|
[4f858ce] | 2731 | } |
---|
[410ea0f] | 2732 | c->average_length = c->average_length / c->n; |
---|
| 2733 | i = 0; |
---|
| 2734 | int max_pairs = bundle_size; |
---|
[6a2e9c] | 2735 | |
---|
[410ea0f] | 2736 | #ifdef USE_NORO |
---|
[db83bf] | 2737 | if((use_noro) || (c->use_noro_last_block)) |
---|
[410ea0f] | 2738 | max_pairs = bundle_size_noro; |
---|
| 2739 | #endif |
---|
[db83bf] | 2740 | poly *p = (poly *) omalloc ((max_pairs + 1) * sizeof (poly)); //nullterminated |
---|
[4f858ce] | 2741 | |
---|
[410ea0f] | 2742 | int curr_deg = -1; |
---|
[db83bf] | 2743 | while(i < max_pairs) |
---|
[2fc974] | 2744 | { |
---|
[db83bf] | 2745 | sorted_pair_node *s = top_pair (c); //here is actually chain criterium done |
---|
[31279e] | 2746 | |
---|
[db83bf] | 2747 | if(!s) |
---|
[410ea0f] | 2748 | break; |
---|
[31279e] | 2749 | |
---|
[db83bf] | 2750 | if(curr_deg >= 0) |
---|
[2fc974] | 2751 | { |
---|
[db83bf] | 2752 | if(s->deg > curr_deg) |
---|
| 2753 | break; |
---|
[4f858ce] | 2754 | } |
---|
[cae954] | 2755 | |
---|
[410ea0f] | 2756 | else |
---|
| 2757 | curr_deg = s->deg; |
---|
| 2758 | quick_pop_pair (c); |
---|
[db83bf] | 2759 | if(s->i >= 0) |
---|
[2fc974] | 2760 | { |
---|
[d491e3] | 2761 | //be careful replace_pair use createShortSpoly which is not noncommutative |
---|
[410ea0f] | 2762 | now_t_rep (s->i, s->j, c); |
---|
| 2763 | replace_pair (s->i, s->j, c); |
---|
[31279e] | 2764 | |
---|
[db83bf] | 2765 | if(s->i == s->j) |
---|
[410ea0f] | 2766 | { |
---|
[db83bf] | 2767 | free_sorted_pair_node (s, c->r); |
---|
| 2768 | continue; |
---|
[410ea0f] | 2769 | } |
---|
| 2770 | now_t_rep (s->i, s->j, c); |
---|
[4f858ce] | 2771 | } |
---|
| 2772 | poly h; |
---|
[db83bf] | 2773 | if(s->i >= 0) |
---|
[1daae71] | 2774 | { |
---|
| 2775 | #ifdef HAVE_PLURAL |
---|
[db83bf] | 2776 | if(c->nc) |
---|
[a0d9be] | 2777 | { |
---|
[db83bf] | 2778 | h = nc_CreateSpoly (c->S->m[s->i], c->S->m[s->j] /*, NULL */ , c->r); |
---|
[6a2e9c] | 2779 | |
---|
[db83bf] | 2780 | if(h != NULL) |
---|
| 2781 | p_Cleardenom (h, c->r); |
---|
[612efe] | 2782 | } |
---|
[d491e3] | 2783 | else |
---|
[1daae71] | 2784 | #endif |
---|
[db83bf] | 2785 | h = ksOldCreateSpoly (c->S->m[s->i], c->S->m[s->j], NULL, c->r); |
---|
[410ea0f] | 2786 | p_Test (h, c->r); |
---|
[31279e] | 2787 | } |
---|
[2fc974] | 2788 | else |
---|
| 2789 | { |
---|
[410ea0f] | 2790 | h = s->lcm_of_lm; |
---|
| 2791 | p_Test (h, c->r); |
---|
| 2792 | } |
---|
[2fd387d] | 2793 | // if(s->i>=0) |
---|
| 2794 | // now_t_rep(s->j,s->i,c); |
---|
[4f858ce] | 2795 | number coef; |
---|
[410ea0f] | 2796 | int mlen = pLength (h); |
---|
| 2797 | p_Test (h, c->r); |
---|
[db83bf] | 2798 | if((!c->nc) & (!(use_noro))) |
---|
[2fc974] | 2799 | { |
---|
[410ea0f] | 2800 | h = redNF2 (h, c, mlen, coef, 2); |
---|
| 2801 | redTailShort (h, c->strat); |
---|
| 2802 | nDelete (&coef); |
---|
[d491e3] | 2803 | } |
---|
[410ea0f] | 2804 | p_Test (h, c->r); |
---|
| 2805 | free_sorted_pair_node (s, c->r); |
---|
[db83bf] | 2806 | if(!h) |
---|
[410ea0f] | 2807 | continue; |
---|
| 2808 | p[i] = h; |
---|
[4f858ce] | 2809 | i++; |
---|
| 2810 | } |
---|
[410ea0f] | 2811 | p[i] = NULL; |
---|
[4f858ce] | 2812 | // pre_comp(p,i,c); |
---|
[db83bf] | 2813 | if(i == 0) |
---|
[2fc974] | 2814 | { |
---|
[410ea0f] | 2815 | omfree (p); |
---|
[4f858ce] | 2816 | return; |
---|
| 2817 | } |
---|
[410ea0f] | 2818 | #ifdef TGB_RESORT_PAIRS |
---|
| 2819 | c->replaced = new bool[c->n]; |
---|
| 2820 | c->used_b = FALSE; |
---|
| 2821 | #endif |
---|
[6a2e9c] | 2822 | |
---|
[410ea0f] | 2823 | c->normal_forms += i; |
---|
[4f858ce] | 2824 | int j; |
---|
[ebe987] | 2825 | #ifdef USE_NORO |
---|
[2fc974] | 2826 | //if ((!(c->nc))&&(rField_is_Zp(c->r))) |
---|
| 2827 | //{ |
---|
[db83bf] | 2828 | if(use_noro) |
---|
[2fc974] | 2829 | { |
---|
[410ea0f] | 2830 | int pn = i; |
---|
[db83bf] | 2831 | if(pn == 0) |
---|
[abce2e] | 2832 | { |
---|
[410ea0f] | 2833 | omfree (p); |
---|
| 2834 | return; |
---|
| 2835 | } |
---|
| 2836 | { |
---|
[db83bf] | 2837 | if(npPrimeM < 255) |
---|
[2fc974] | 2838 | { |
---|
[db83bf] | 2839 | noro_step < tgb_uint8 > (p, pn, c); |
---|
[2fc974] | 2840 | } |
---|
| 2841 | else |
---|
| 2842 | { |
---|
[db83bf] | 2843 | if(npPrimeM < 65000) |
---|
| 2844 | { |
---|
| 2845 | noro_step < tgb_uint16 > (p, pn, c); |
---|
| 2846 | } |
---|
| 2847 | else |
---|
| 2848 | { |
---|
| 2849 | noro_step < tgb_uint32 > (p, pn, c); |
---|
| 2850 | } |
---|
[abce2e] | 2851 | } |
---|
| 2852 | } |
---|
[6a2e9c] | 2853 | |
---|
[2fc974] | 2854 | //if (TEST_OPT_PROT) |
---|
| 2855 | //{ |
---|
[f2b5839] | 2856 | // Print("reported rank:%i\n",pn); |
---|
| 2857 | //} |
---|
[410ea0f] | 2858 | mass_add (p, pn, c); |
---|
| 2859 | omfree (p); |
---|
[b68048] | 2860 | return; |
---|
| 2861 | /*if (TEST_OPT_PROT) |
---|
[410ea0f] | 2862 | for(j=0;j<pn;j++) |
---|
| 2863 | { |
---|
| 2864 | p_wrp(p[j],c->r); |
---|
| 2865 | } */ |
---|
[b68048] | 2866 | } |
---|
[f23852] | 2867 | #endif |
---|
[410ea0f] | 2868 | red_object *buf = (red_object *) omalloc (i * sizeof (red_object)); |
---|
[db83bf] | 2869 | for(j = 0; j < i; j++) |
---|
[410ea0f] | 2870 | { |
---|
| 2871 | p_Test (p[j], c->r); |
---|
| 2872 | buf[j].p = p[j]; |
---|
| 2873 | buf[j].sev = pGetShortExpVector (p[j]); |
---|
| 2874 | buf[j].bucket = kBucketCreate (currRing); |
---|
| 2875 | p_Test (p[j], c->r); |
---|
[db83bf] | 2876 | if(c->eliminationProblem) |
---|
[2fc974] | 2877 | { |
---|
[410ea0f] | 2878 | buf[j].sugar = c->pTotaldegree_full (p[j]); |
---|
[d64382] | 2879 | } |
---|
[410ea0f] | 2880 | int len = pLength (p[j]); |
---|
| 2881 | kBucketInit (buf[j].bucket, buf[j].p, len); |
---|
| 2882 | buf[j].initial_quality = buf[j].guess_quality (c); |
---|
| 2883 | assume (buf[j].initial_quality >= 0); |
---|
[4f858ce] | 2884 | } |
---|
[410ea0f] | 2885 | omfree (p); |
---|
| 2886 | qsort (buf, i, sizeof (red_object), red_object_better_gen); |
---|
[4f858ce] | 2887 | // Print("\ncurr_deg:%i\n",curr_deg); |
---|
[db83bf] | 2888 | if(TEST_OPT_PROT) |
---|
[b17a5c] | 2889 | { |
---|
[410ea0f] | 2890 | Print ("%dM[%d,", curr_deg, i); |
---|
[b17a5c] | 2891 | } |
---|
[b68048] | 2892 | |
---|
[410ea0f] | 2893 | multi_reduction (buf, i, c); |
---|
| 2894 | #ifdef TGB_RESORT_PAIRS |
---|
[db83bf] | 2895 | if(c->used_b) |
---|
[410ea0f] | 2896 | { |
---|
[db83bf] | 2897 | if(TEST_OPT_PROT) |
---|
[410ea0f] | 2898 | PrintS ("B"); |
---|
[c72471] | 2899 | int e; |
---|
[db83bf] | 2900 | for(e = 0; e <= c->pair_top; e++) |
---|
[2fc974] | 2901 | { |
---|
[db83bf] | 2902 | if(c->apairs[e]->i < 0) |
---|
| 2903 | continue; |
---|
[410ea0f] | 2904 | assume (c->apairs[e]->j >= 0); |
---|
[db83bf] | 2905 | if((c->replaced[c->apairs[e]->i]) || (c->replaced[c->apairs[e]->j])) |
---|
[410ea0f] | 2906 | { |
---|
[db83bf] | 2907 | sorted_pair_node *s = c->apairs[e]; |
---|
| 2908 | s->expected_length = pair_weighted_length (s->i, s->j, c); |
---|
[410ea0f] | 2909 | } |
---|
[c72471] | 2910 | } |
---|
[410ea0f] | 2911 | qsort (c->apairs, c->pair_top + 1, sizeof (sorted_pair_node *), |
---|
[db83bf] | 2912 | tgb_pair_better_gen2); |
---|
[c72471] | 2913 | } |
---|
[410ea0f] | 2914 | #endif |
---|
[4f858ce] | 2915 | #ifdef TGB_DEBUG |
---|
[410ea0f] | 2916 | { |
---|
| 2917 | int k; |
---|
[db83bf] | 2918 | for(k = 0; k < i; k++) |
---|
[410ea0f] | 2919 | { |
---|
| 2920 | assume (kFindDivisibleByInS_easy (c->strat, buf[k]) < 0); |
---|
| 2921 | int k2; |
---|
[db83bf] | 2922 | for(k2 = 0; k2 < i; k2++) |
---|
[410ea0f] | 2923 | { |
---|
[db83bf] | 2924 | if(k == k2) |
---|
| 2925 | continue; |
---|
| 2926 | assume ((!(p_LmDivisibleBy (buf[k].p, buf[k2].p, c->r))) |
---|
| 2927 | || (wrp (buf[k].p), Print (" k %d k2 %d ", k, k2), |
---|
| 2928 | wrp (buf[k2].p), FALSE)); |
---|
[410ea0f] | 2929 | } |
---|
| 2930 | } |
---|
| 2931 | } |
---|
[4f858ce] | 2932 | #endif |
---|
| 2933 | //resort S |
---|
[31279e] | 2934 | |
---|
[db83bf] | 2935 | if(TEST_OPT_PROT) |
---|
[410ea0f] | 2936 | Print ("%i]", i); |
---|
[e4e1c2a] | 2937 | |
---|
[410ea0f] | 2938 | poly *add_those = (poly *) omalloc (i * sizeof (poly)); |
---|
[db83bf] | 2939 | for(j = 0; j < i; j++) |
---|
[4f858ce] | 2940 | { |
---|
[410ea0f] | 2941 | int len; |
---|
| 2942 | poly p; |
---|
| 2943 | buf[j].flatten (); |
---|
| 2944 | kBucketClear (buf[j].bucket, &p, &len); |
---|
| 2945 | kBucketDestroy (&buf[j].bucket); |
---|
| 2946 | p_Test (p, c->r); |
---|
| 2947 | //if (!c->nc) { |
---|
[db83bf] | 2948 | if((c->tailReductions) || (lies_in_last_dp_block (p, c))) |
---|
[410ea0f] | 2949 | { |
---|
| 2950 | p = redNFTail (p, c->strat->sl, c->strat, 0); |
---|
| 2951 | } |
---|
| 2952 | else |
---|
| 2953 | { |
---|
| 2954 | p = redTailShort (p, c->strat); |
---|
| 2955 | } |
---|
| 2956 | //} |
---|
| 2957 | p_Test (p, c->r); |
---|
| 2958 | add_those[j] = p; |
---|
[b68048] | 2959 | |
---|
[4f858ce] | 2960 | //sbuf[j]=add_to_basis(p,-1,-1,c,ibuf+j); |
---|
| 2961 | } |
---|
[410ea0f] | 2962 | mass_add (add_those, i, c); |
---|
| 2963 | omfree (add_those); |
---|
| 2964 | omfree (buf); |
---|
[6a2e9c] | 2965 | |
---|
[db83bf] | 2966 | if(TEST_OPT_PROT) |
---|
[410ea0f] | 2967 | Print ("(%d)", c->pair_top + 1); |
---|
[b68048] | 2968 | //TODO: implement that while(!(idIs0(c->add_later))) |
---|
[410ea0f] | 2969 | #ifdef TGB_RESORT_PAIRS |
---|
[c72471] | 2970 | delete c->replaced; |
---|
[410ea0f] | 2971 | c->replaced = NULL; |
---|
| 2972 | c->used_b = FALSE; |
---|
| 2973 | #endif |
---|
[4f858ce] | 2974 | return; |
---|
| 2975 | } |
---|
| 2976 | |
---|
| 2977 | #ifdef REDTAIL_S |
---|
| 2978 | |
---|
[db83bf] | 2979 | static poly redNFTail (poly h, const int sl, kStrategy strat, int len) |
---|
[4f858ce] | 2980 | { |
---|
[410ea0f] | 2981 | BOOLEAN nc = rIsPluralRing (currRing); |
---|
[db83bf] | 2982 | if(h == NULL) |
---|
[410ea0f] | 2983 | return NULL; |
---|
| 2984 | pTest (h); |
---|
[db83bf] | 2985 | if(0 > sl) |
---|
[4f858ce] | 2986 | return h; |
---|
[db83bf] | 2987 | if(pNext (h) == NULL) |
---|
[410ea0f] | 2988 | return h; |
---|
[4f858ce] | 2989 | |
---|
| 2990 | int j; |
---|
[410ea0f] | 2991 | poly res = h; |
---|
| 2992 | poly act = res; |
---|
| 2993 | LObject P (pNext (h)); |
---|
| 2994 | pNext (res) = NULL; |
---|
| 2995 | P.bucket = kBucketCreate (currRing); |
---|
[4f858ce] | 2996 | len--; |
---|
[410ea0f] | 2997 | h = P.p; |
---|
[db83bf] | 2998 | if(len <= 0) |
---|
[410ea0f] | 2999 | len = pLength (h); |
---|
| 3000 | kBucketInit (P.bucket, h /*P.p */ , len /*pLength(P.p) */ ); |
---|
| 3001 | pTest (h); |
---|
[4f858ce] | 3002 | loop |
---|
| 3003 | { |
---|
[410ea0f] | 3004 | P.p = h; |
---|
| 3005 | P.t_p = NULL; |
---|
| 3006 | P.SetShortExpVector (); |
---|
| 3007 | loop |
---|
| 3008 | { |
---|
| 3009 | //int dummy=strat->sl; |
---|
[db83bf] | 3010 | j = kFindDivisibleByInS_easy (strat, P.p, P.sev); //kFindDivisibleByInS(strat,&dummy,&P); |
---|
| 3011 | if(j >= 0) |
---|
[4f858ce] | 3012 | { |
---|
| 3013 | #ifdef REDTAIL_PROT |
---|
[db83bf] | 3014 | PrintS ("r"); |
---|
[4f858ce] | 3015 | #endif |
---|
[db83bf] | 3016 | nNormalize (pGetCoeff (P.p)); |
---|
[4f858ce] | 3017 | #ifdef KDEBUG |
---|
[db83bf] | 3018 | if(TEST_OPT_DEBUG) |
---|
| 3019 | { |
---|
| 3020 | PrintS ("red tail:"); |
---|
| 3021 | wrp (h); |
---|
| 3022 | PrintS (" with "); |
---|
| 3023 | wrp (strat->S[j]); |
---|
| 3024 | } |
---|
[4f858ce] | 3025 | #endif |
---|
[db83bf] | 3026 | number coef; |
---|
| 3027 | pTest (strat->S[j]); |
---|
[1cc61e] | 3028 | #ifdef HAVE_PLURAL |
---|
[db83bf] | 3029 | if(nc) |
---|
| 3030 | { |
---|
| 3031 | nc_BucketPolyRed_Z (P.bucket, strat->S[j], &coef); |
---|
| 3032 | } |
---|
| 3033 | else |
---|
[1cc61e] | 3034 | #endif |
---|
[db83bf] | 3035 | coef = kBucketPolyRed (P.bucket, strat->S[j], |
---|
| 3036 | strat->lenS[j] /*pLength(strat->S[j]) */ , |
---|
| 3037 | strat->kNoether); |
---|
| 3038 | pMult_nn (res, coef); |
---|
| 3039 | nDelete (&coef); |
---|
| 3040 | h = kBucketGetLm (P.bucket); |
---|
| 3041 | pTest (h); |
---|
| 3042 | if(h == NULL) |
---|
| 3043 | { |
---|
[4f858ce] | 3044 | #ifdef REDTAIL_PROT |
---|
[db83bf] | 3045 | PrintS (" "); |
---|
[4f858ce] | 3046 | #endif |
---|
[db83bf] | 3047 | kBucketDestroy (&P.bucket); |
---|
| 3048 | return res; |
---|
| 3049 | } |
---|
| 3050 | pTest (h); |
---|
| 3051 | P.p = h; |
---|
| 3052 | P.t_p = NULL; |
---|
| 3053 | P.SetShortExpVector (); |
---|
[4f858ce] | 3054 | #ifdef KDEBUG |
---|
[db83bf] | 3055 | if(TEST_OPT_DEBUG) |
---|
| 3056 | { |
---|
| 3057 | PrintS ("\nto tail:"); |
---|
| 3058 | wrp (h); |
---|
| 3059 | PrintLn (); |
---|
| 3060 | } |
---|
[4f858ce] | 3061 | #endif |
---|
[410ea0f] | 3062 | } |
---|
| 3063 | else |
---|
[4f858ce] | 3064 | { |
---|
| 3065 | #ifdef REDTAIL_PROT |
---|
[db83bf] | 3066 | PrintS ("n"); |
---|
[4f858ce] | 3067 | #endif |
---|
[db83bf] | 3068 | break; |
---|
[4f858ce] | 3069 | } |
---|
[db83bf] | 3070 | } /* end loop current mon */ |
---|
[410ea0f] | 3071 | // poly tmp=pHead(h /*kBucketGetLm(P.bucket)*/); |
---|
| 3072 | //act->next=tmp;pIter(act); |
---|
| 3073 | act->next = kBucketExtractLm (P.bucket); |
---|
| 3074 | pIter (act); |
---|
| 3075 | h = kBucketGetLm (P.bucket); |
---|
[db83bf] | 3076 | if(h == NULL) |
---|
[410ea0f] | 3077 | { |
---|
| 3078 | #ifdef REDTAIL_PROT |
---|
| 3079 | PrintS (" "); |
---|
| 3080 | #endif |
---|
| 3081 | kBucketDestroy (&P.bucket); |
---|
| 3082 | return res; |
---|
| 3083 | } |
---|
| 3084 | pTest (h); |
---|
[4f858ce] | 3085 | } |
---|
| 3086 | } |
---|
| 3087 | #endif |
---|
| 3088 | |
---|
| 3089 | |
---|
| 3090 | //try to fill, return FALSE iff queue is empty |
---|
| 3091 | |
---|
| 3092 | //transfers ownership of m to mat |
---|
[db83bf] | 3093 | void init_with_mac_poly (tgb_sparse_matrix * mat, int row, mac_poly m) |
---|
[2fc974] | 3094 | { |
---|
[410ea0f] | 3095 | assume (mat->mp[row] == NULL); |
---|
| 3096 | mat->mp[row] = m; |
---|
[4f858ce] | 3097 | #ifdef TGB_DEBUG |
---|
[410ea0f] | 3098 | mac_poly r = m; |
---|
[db83bf] | 3099 | while(r) |
---|
[2fc974] | 3100 | { |
---|
[410ea0f] | 3101 | assume (r->exp < mat->columns); |
---|
| 3102 | r = r->next; |
---|
[4f858ce] | 3103 | } |
---|
| 3104 | #endif |
---|
| 3105 | } |
---|
[410ea0f] | 3106 | |
---|
| 3107 | poly |
---|
| 3108 | free_row_to_poly (tgb_sparse_matrix * mat, int row, poly * monoms, |
---|
[db83bf] | 3109 | int monom_index) |
---|
[410ea0f] | 3110 | { |
---|
| 3111 | poly p = NULL; |
---|
| 3112 | poly *set_this = &p; |
---|
| 3113 | mac_poly r = mat->mp[row]; |
---|
| 3114 | mat->mp[row] = NULL; |
---|
[db83bf] | 3115 | while(r) |
---|
[410ea0f] | 3116 | { |
---|
| 3117 | (*set_this) = pLmInit (monoms[monom_index - 1 - r->exp]); |
---|
| 3118 | pSetCoeff ((*set_this), r->coef); |
---|
| 3119 | set_this = &((*set_this)->next); |
---|
| 3120 | mac_poly old = r; |
---|
| 3121 | r = r->next; |
---|
[4f858ce] | 3122 | delete old; |
---|
[31279e] | 3123 | |
---|
[4f858ce] | 3124 | } |
---|
| 3125 | return p; |
---|
| 3126 | } |
---|
| 3127 | |
---|
[db83bf] | 3128 | static int poly_crit (const void *ap1, const void *ap2) |
---|
[2fc974] | 3129 | { |
---|
[410ea0f] | 3130 | poly p1, p2; |
---|
| 3131 | p1 = *((poly *) ap1); |
---|
| 3132 | p2 = *((poly *) ap2); |
---|
| 3133 | |
---|
| 3134 | int c = pLmCmp (p1, p2); |
---|
[db83bf] | 3135 | if(c != 0) |
---|
[410ea0f] | 3136 | return c; |
---|
| 3137 | int l1 = pLength (p1); |
---|
| 3138 | int l2 = pLength (p2); |
---|
[db83bf] | 3139 | if(l1 < l2) |
---|
[410ea0f] | 3140 | return -1; |
---|
[db83bf] | 3141 | if(l1 > l2) |
---|
[410ea0f] | 3142 | return 1; |
---|
[4f858ce] | 3143 | return 0; |
---|
| 3144 | } |
---|
[2fc974] | 3145 | |
---|
[db83bf] | 3146 | void slimgb_alg::introduceDelayedPairs (poly * pa, int s) |
---|
[2fc974] | 3147 | { |
---|
[db83bf] | 3148 | if(s == 0) |
---|
[410ea0f] | 3149 | return; |
---|
| 3150 | sorted_pair_node **si_array = |
---|
| 3151 | (sorted_pair_node **) omalloc (s * sizeof (sorted_pair_node *)); |
---|
| 3152 | |
---|
[db83bf] | 3153 | for(int i = 0; i < s; i++) |
---|
[410ea0f] | 3154 | { |
---|
| 3155 | sorted_pair_node *si = |
---|
| 3156 | (sorted_pair_node *) omalloc (sizeof (sorted_pair_node)); |
---|
| 3157 | si->i = -1; |
---|
| 3158 | si->j = -2; |
---|
| 3159 | poly p = pa[i]; |
---|
| 3160 | simplify_poly (p, r); |
---|
| 3161 | si->expected_length = pQuality (p, this, pLength (p)); |
---|
| 3162 | p_Test (p, r); |
---|
| 3163 | si->deg = this->pTotaldegree_full (p); |
---|
| 3164 | /*if (!rField_is_Zp(r)) |
---|
[a0d9be] | 3165 | { |
---|
[410ea0f] | 3166 | p_Content(p,r); |
---|
| 3167 | p_Cleardenom(p,r); |
---|
| 3168 | } */ |
---|
[6a2e9c] | 3169 | |
---|
[410ea0f] | 3170 | si->lcm_of_lm = p; |
---|
[5a9e7b] | 3171 | |
---|
[410ea0f] | 3172 | // c->apairs[n-1-i]=si; |
---|
| 3173 | si_array[i] = si; |
---|
[5a9e7b] | 3174 | } |
---|
| 3175 | |
---|
[410ea0f] | 3176 | qsort (si_array, s, sizeof (sorted_pair_node *), tgb_pair_better_gen2); |
---|
| 3177 | apairs = spn_merge (apairs, pair_top + 1, si_array, s, this); |
---|
| 3178 | pair_top += s; |
---|
| 3179 | omfree (si_array); |
---|
[6e08ad] | 3180 | } |
---|
[2fc974] | 3181 | |
---|
[410ea0f] | 3182 | slimgb_alg::slimgb_alg (ideal I, int syz_comp, BOOLEAN F4, int deg_pos) |
---|
[5f4463] | 3183 | { |
---|
[410ea0f] | 3184 | this->deg_pos = deg_pos; |
---|
| 3185 | lastCleanedDeg = -1; |
---|
| 3186 | completed = FALSE; |
---|
| 3187 | this->syz_comp = syz_comp; |
---|
| 3188 | r = currRing; |
---|
| 3189 | nc = rIsPluralRing (r); |
---|
| 3190 | this->lastDpBlockStart = get_last_dp_block_start (r); |
---|
[2921f5] | 3191 | //Print("last dp Block start: %i\n", this->lastDpBlockStart); |
---|
[410ea0f] | 3192 | is_homog = TRUE; |
---|
[4f858ce] | 3193 | { |
---|
[d76b58] | 3194 | int hzz; |
---|
[db83bf] | 3195 | for(hzz = 0; hzz < IDELEMS (I); hzz++) |
---|
[5f4463] | 3196 | { |
---|
[410ea0f] | 3197 | assume (I->m[hzz] != NULL); |
---|
| 3198 | int d = this->pTotaldegree (I->m[hzz]); |
---|
| 3199 | poly t = I->m[hzz]->next; |
---|
[db83bf] | 3200 | while(t) |
---|
[4f858ce] | 3201 | { |
---|
[db83bf] | 3202 | if(d != this->pTotaldegree (t)) |
---|
| 3203 | { |
---|
| 3204 | is_homog = FALSE; |
---|
| 3205 | break; |
---|
| 3206 | } |
---|
| 3207 | t = t->next; |
---|
[4f858ce] | 3208 | } |
---|
[db83bf] | 3209 | if(!(is_homog)) |
---|
| 3210 | break; |
---|
[4f858ce] | 3211 | } |
---|
| 3212 | } |
---|
[410ea0f] | 3213 | eliminationProblem = ((!(is_homog)) && ((pLexOrder) || (I->rank > 1))); |
---|
| 3214 | tailReductions = ((is_homog) || ((TEST_OPT_REDTAIL) && (!(I->rank > 1)))); |
---|
[4f858ce] | 3215 | // Print("is homog:%d",c->is_homog); |
---|
[410ea0f] | 3216 | void *h; |
---|
[a41623] | 3217 | int i; |
---|
[410ea0f] | 3218 | to_destroy = NULL; |
---|
| 3219 | easy_product_crit = 0; |
---|
| 3220 | extended_product_crit = 0; |
---|
[db83bf] | 3221 | if(rField_is_Zp (r)) |
---|
[410ea0f] | 3222 | isDifficultField = FALSE; |
---|
[4f858ce] | 3223 | else |
---|
[410ea0f] | 3224 | isDifficultField = TRUE; |
---|
[4f858ce] | 3225 | //not fully correct |
---|
[68ae61] | 3226 | //(rChar()==0); |
---|
[410ea0f] | 3227 | F4_mode = F4; |
---|
[c57134] | 3228 | |
---|
[410ea0f] | 3229 | reduction_steps = 0; |
---|
| 3230 | last_index = -1; |
---|
[4f858ce] | 3231 | |
---|
[410ea0f] | 3232 | F = NULL; |
---|
| 3233 | F_minus = NULL; |
---|
[4f858ce] | 3234 | |
---|
[410ea0f] | 3235 | Rcounter = 0; |
---|
[4f858ce] | 3236 | |
---|
[410ea0f] | 3237 | soon_free = NULL; |
---|
[4f858ce] | 3238 | |
---|
[410ea0f] | 3239 | tmp_lm = pOne (); |
---|
[4f858ce] | 3240 | |
---|
[410ea0f] | 3241 | normal_forms = 0; |
---|
| 3242 | current_degree = 1; |
---|
[31279e] | 3243 | |
---|
[410ea0f] | 3244 | max_pairs = 5 * IDELEMS (I); |
---|
[31279e] | 3245 | |
---|
[410ea0f] | 3246 | apairs = |
---|
| 3247 | (sorted_pair_node **) omalloc (sizeof (sorted_pair_node *) * max_pairs); |
---|
| 3248 | pair_top = -1; |
---|
[4f858ce] | 3249 | |
---|
[410ea0f] | 3250 | int n = IDELEMS (I); |
---|
| 3251 | array_lengths = n; |
---|
[2fc974] | 3252 | |
---|
[31279e] | 3253 | |
---|
[410ea0f] | 3254 | i = 0; |
---|
| 3255 | this->n = 0; |
---|
| 3256 | T_deg = (int *) omalloc (n * sizeof (int)); |
---|
[db83bf] | 3257 | if(eliminationProblem) |
---|
[410ea0f] | 3258 | T_deg_full = (int *) omalloc (n * sizeof (int)); |
---|
[4f858ce] | 3259 | else |
---|
[410ea0f] | 3260 | T_deg_full = NULL; |
---|
| 3261 | tmp_pair_lm = (poly *) omalloc (n * sizeof (poly)); |
---|
| 3262 | tmp_spn = (sorted_pair_node **) omalloc (n * sizeof (sorted_pair_node *)); |
---|
| 3263 | lm_bin = omGetSpecBin (POLYSIZE + (r->ExpL_Size) * sizeof (long)); |
---|
[4f858ce] | 3264 | #ifdef HEAD_BIN |
---|
[410ea0f] | 3265 | HeadBin = omGetSpecBin (POLYSIZE + (currRing->ExpL_Size) * sizeof (long)); |
---|
[4f858ce] | 3266 | #endif |
---|
| 3267 | /* omUnGetSpecBin(&(c->HeadBin)); */ |
---|
[410ea0f] | 3268 | #ifndef HAVE_BOOST |
---|
| 3269 | #ifdef USE_STDVECBOOL |
---|
| 3270 | #else |
---|
| 3271 | h = omalloc (n * sizeof (char *)); |
---|
| 3272 | |
---|
| 3273 | states = (char **) h; |
---|
| 3274 | #endif |
---|
| 3275 | #endif |
---|
| 3276 | h = omalloc (n * sizeof (int)); |
---|
| 3277 | lengths = (int *) h; |
---|
| 3278 | weighted_lengths = (wlen_type *) omalloc (n * sizeof (wlen_type)); |
---|
| 3279 | gcd_of_terms = (poly *) omalloc (n * sizeof (poly)); |
---|
| 3280 | |
---|
| 3281 | short_Exps = (long *) omalloc (n * sizeof (long)); |
---|
[db83bf] | 3282 | if(F4_mode) |
---|
[410ea0f] | 3283 | S = idInit (n, I->rank); |
---|
[f3c849] | 3284 | else |
---|
[410ea0f] | 3285 | S = idInit (1, I->rank); |
---|
| 3286 | strat = new skStrategy; |
---|
[db83bf] | 3287 | if(eliminationProblem) |
---|
[410ea0f] | 3288 | strat->honey = TRUE; |
---|
[68ae61] | 3289 | strat->syzComp = 0; |
---|
[410ea0f] | 3290 | initBuchMoraCrit (strat); |
---|
| 3291 | initBuchMoraPos (strat); |
---|
[68ae61] | 3292 | strat->initEcart = initEcartBBA; |
---|
[410ea0f] | 3293 | strat->tailRing = r; |
---|
[68ae61] | 3294 | strat->enterS = enterSBba; |
---|
| 3295 | strat->sl = -1; |
---|
[410ea0f] | 3296 | i = n; |
---|
[db83bf] | 3297 | i = 1; //some strange bug else |
---|
[4f858ce] | 3298 | /* initS(c->S,NULL,c->strat); */ |
---|
[68ae61] | 3299 | /* intS start: */ |
---|
[4f858ce] | 3300 | // i=((i+IDELEMS(c->S)+15)/16)*16; |
---|
[db83bf] | 3301 | strat->ecartS = (intset) omAlloc (i * sizeof (int)); /*initec(i); */ |
---|
[410ea0f] | 3302 | strat->sevS = (unsigned long *) omAlloc0 (i * sizeof (unsigned long)); |
---|
| 3303 | /*initsevS(i); */ |
---|
[db83bf] | 3304 | strat->S_2_R = (int *) omAlloc0 (i * sizeof (int)); /*initS_2_R(i); */ |
---|
[410ea0f] | 3305 | strat->fromQ = NULL; |
---|
| 3306 | strat->Shdl = idInit (1, 1); |
---|
| 3307 | strat->S = strat->Shdl->m; |
---|
| 3308 | strat->lenS = (int *) omAlloc0 (i * sizeof (int)); |
---|
[db83bf] | 3309 | if((isDifficultField) || (eliminationProblem)) |
---|
[410ea0f] | 3310 | strat->lenSw = (wlen_type *) omAlloc0 (i * sizeof (wlen_type)); |
---|
[4f858ce] | 3311 | else |
---|
[410ea0f] | 3312 | strat->lenSw = NULL; |
---|
| 3313 | assume (n > 0); |
---|
| 3314 | add_to_basis_ideal_quotient (I->m[0], this, NULL); |
---|
| 3315 | |
---|
| 3316 | assume (strat->sl == IDELEMS (strat->Shdl) - 1); |
---|
[db83bf] | 3317 | if(!(F4_mode)) |
---|
[410ea0f] | 3318 | { |
---|
| 3319 | poly *array_arg = I->m; |
---|
| 3320 | array_arg++; |
---|
| 3321 | introduceDelayedPairs (array_arg, n - 1); |
---|
| 3322 | /* |
---|
| 3323 | for (i=1;i<n;i++)//the 1 is wanted, because first element is added to basis |
---|
| 3324 | { |
---|
| 3325 | // add_to_basis(I->m[i],-1,-1,c); |
---|
| 3326 | si=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
| 3327 | si->i=-1; |
---|
| 3328 | si->j=-2; |
---|
| 3329 | si->expected_length=pQuality(I->m[i],this,pLength(I->m[i])); |
---|
| 3330 | si->deg=pTotaldegree(I->m[i]); |
---|
| 3331 | if (!rField_is_Zp(r)) |
---|
| 3332 | { |
---|
| 3333 | p_Cleardenom(I->m[i], r); |
---|
| 3334 | } |
---|
| 3335 | si->lcm_of_lm=I->m[i]; |
---|
[31279e] | 3336 | |
---|
[410ea0f] | 3337 | // c->apairs[n-1-i]=si; |
---|
| 3338 | apairs[n-i-1]=si; |
---|
| 3339 | ++(pair_top); |
---|
| 3340 | } */ |
---|
[4f858ce] | 3341 | } |
---|
| 3342 | else |
---|
| 3343 | { |
---|
[db83bf] | 3344 | for(i = 1; i < n; i++) //the 1 is wanted, because first element is added to basis |
---|
[410ea0f] | 3345 | add_to_basis_ideal_quotient (I->m[i], this, NULL); |
---|
[4f858ce] | 3346 | } |
---|
[db83bf] | 3347 | for(i = 0; i < IDELEMS (I); i++) |
---|
[4f858ce] | 3348 | { |
---|
[410ea0f] | 3349 | I->m[i] = NULL; |
---|
[4f858ce] | 3350 | } |
---|
[410ea0f] | 3351 | idDelete (&I); |
---|
| 3352 | add_later = idInit (ADD_LATER_SIZE, S->rank); |
---|
| 3353 | #ifdef USE_NORO |
---|
| 3354 | use_noro = ((!(nc)) && (S->rank <= 1) && (rField_is_Zp (r)) |
---|
[db83bf] | 3355 | && (!(eliminationProblem)) && (npPrimeM <= 32003)); |
---|
[410ea0f] | 3356 | use_noro_last_block = false; |
---|
[1f637e] | 3357 | if((!(use_noro)) && (lastDpBlockStart <= (currRing->N))) |
---|
[5f4463] | 3358 | { |
---|
[410ea0f] | 3359 | use_noro_last_block = ((!(nc)) && (S->rank <= 1) && (rField_is_Zp (r)) |
---|
[db83bf] | 3360 | && (npPrimeM <= 32003)); |
---|
[f2b5839] | 3361 | } |
---|
[410ea0f] | 3362 | #else |
---|
| 3363 | use_noro = false; |
---|
| 3364 | use_noro_last_block = false; |
---|
| 3365 | #endif |
---|
[f2b5839] | 3366 | //Print("NORO last block %i",use_noro_last_block); |
---|
[410ea0f] | 3367 | memset (add_later->m, 0, ADD_LATER_SIZE * sizeof (poly)); |
---|
[68ae61] | 3368 | } |
---|
[410ea0f] | 3369 | |
---|
| 3370 | slimgb_alg::~slimgb_alg () |
---|
[5f4463] | 3371 | { |
---|
[2fc974] | 3372 | |
---|
[db83bf] | 3373 | if(!(completed)) |
---|
[5f4463] | 3374 | { |
---|
[410ea0f] | 3375 | poly *add = (poly *) omalloc ((pair_top + 2) * sizeof (poly)); |
---|
| 3376 | int piter; |
---|
| 3377 | int pos = 0; |
---|
[db83bf] | 3378 | for(piter = 0; piter <= pair_top; piter++) |
---|
[410ea0f] | 3379 | { |
---|
| 3380 | sorted_pair_node *s = apairs[piter]; |
---|
[db83bf] | 3381 | if(s->i < 0) |
---|
[2fc974] | 3382 | { |
---|
[db83bf] | 3383 | //delayed element |
---|
| 3384 | if(s->lcm_of_lm != NULL) |
---|
| 3385 | { |
---|
| 3386 | add[pos] = s->lcm_of_lm; |
---|
| 3387 | pos++; |
---|
| 3388 | } |
---|
[2fc974] | 3389 | } |
---|
[410ea0f] | 3390 | free_sorted_pair_node (s, r); |
---|
| 3391 | apairs[piter] = NULL; |
---|
| 3392 | } |
---|
| 3393 | pair_top = -1; |
---|
| 3394 | add[pos] = NULL; |
---|
| 3395 | pos = 0; |
---|
[db83bf] | 3396 | while(add[pos] != NULL) |
---|
[410ea0f] | 3397 | { |
---|
| 3398 | add_to_basis_ideal_quotient (add[pos], this, NULL); |
---|
| 3399 | pos++; |
---|
| 3400 | } |
---|
[db83bf] | 3401 | for(piter = 0; piter <= pair_top; piter++) |
---|
[410ea0f] | 3402 | { |
---|
| 3403 | sorted_pair_node *s = apairs[piter]; |
---|
| 3404 | assume (s->i >= 0); |
---|
| 3405 | free_sorted_pair_node (s, r); |
---|
| 3406 | apairs[piter] = NULL; |
---|
| 3407 | } |
---|
| 3408 | pair_top = -1; |
---|
[a60a21] | 3409 | } |
---|
[410ea0f] | 3410 | id_Delete (&add_later, r); |
---|
| 3411 | int i, j; |
---|
| 3412 | slimgb_alg *c = this; |
---|
[db83bf] | 3413 | while(c->to_destroy) |
---|
[4f858ce] | 3414 | { |
---|
[410ea0f] | 3415 | pDelete (&(c->to_destroy->p)); |
---|
| 3416 | poly_list_node *old = c->to_destroy; |
---|
| 3417 | c->to_destroy = c->to_destroy->next; |
---|
| 3418 | omfree (old); |
---|
[4f858ce] | 3419 | } |
---|
[db83bf] | 3420 | while(c->F) |
---|
[4f858ce] | 3421 | { |
---|
[db83bf] | 3422 | for(i = 0; i < c->F->size; i++) |
---|
[5f4463] | 3423 | { |
---|
[410ea0f] | 3424 | pDelete (&(c->F->mp[i].m)); |
---|
[4f858ce] | 3425 | } |
---|
[410ea0f] | 3426 | omfree (c->F->mp); |
---|
| 3427 | c->F->mp = NULL; |
---|
| 3428 | mp_array_list *old = c->F; |
---|
| 3429 | c->F = c->F->next; |
---|
| 3430 | omfree (old); |
---|
[4f858ce] | 3431 | } |
---|
[db83bf] | 3432 | while(c->F_minus) |
---|
[4f858ce] | 3433 | { |
---|
[db83bf] | 3434 | for(i = 0; i < c->F_minus->size; i++) |
---|
[5f4463] | 3435 | { |
---|
[410ea0f] | 3436 | pDelete (&(c->F_minus->p[i])); |
---|
[4f858ce] | 3437 | } |
---|
[410ea0f] | 3438 | omfree (c->F_minus->p); |
---|
| 3439 | c->F_minus->p = NULL; |
---|
| 3440 | poly_array_list *old = c->F_minus; |
---|
| 3441 | c->F_minus = c->F_minus->next; |
---|
| 3442 | omfree (old); |
---|
[4f858ce] | 3443 | } |
---|
[410ea0f] | 3444 | #ifndef HAVE_BOOST |
---|
| 3445 | #ifndef USE_STDVECBOOL |
---|
[db83bf] | 3446 | for(int z = 1 /* zero length at 0 */ ; z < c->n; z++) |
---|
[5f4463] | 3447 | { |
---|
[410ea0f] | 3448 | omfree (c->states[z]); |
---|
[4f858ce] | 3449 | } |
---|
[410ea0f] | 3450 | omfree (c->states); |
---|
| 3451 | #endif |
---|
| 3452 | #endif |
---|
[26914c] | 3453 | |
---|
[410ea0f] | 3454 | omfree (c->lengths); |
---|
| 3455 | omfree (c->weighted_lengths); |
---|
[db83bf] | 3456 | for(int z = 0; z < c->n; z++) |
---|
[4f858ce] | 3457 | { |
---|
[410ea0f] | 3458 | pDelete (&c->tmp_pair_lm[z]); |
---|
| 3459 | omfree (c->tmp_spn[z]); |
---|
[4f858ce] | 3460 | } |
---|
[410ea0f] | 3461 | omfree (c->tmp_pair_lm); |
---|
| 3462 | omfree (c->tmp_spn); |
---|
[31279e] | 3463 | |
---|
[410ea0f] | 3464 | omfree (c->T_deg); |
---|
[db83bf] | 3465 | if(c->T_deg_full) |
---|
[410ea0f] | 3466 | omfree (c->T_deg_full); |
---|
[4f858ce] | 3467 | |
---|
[410ea0f] | 3468 | omFree (c->strat->ecartS); |
---|
| 3469 | omFree (c->strat->sevS); |
---|
[4f858ce] | 3470 | // initsevS(i); |
---|
[410ea0f] | 3471 | omFree (c->strat->S_2_R); |
---|
[2fc974] | 3472 | |
---|
| 3473 | |
---|
[410ea0f] | 3474 | omFree (c->strat->lenS); |
---|
[4f858ce] | 3475 | |
---|
[db83bf] | 3476 | if(c->strat->lenSw) |
---|
[410ea0f] | 3477 | omFree (c->strat->lenSw); |
---|
[4f858ce] | 3478 | |
---|
[db83bf] | 3479 | for(i = 0; i < c->n; i++) |
---|
[5f4463] | 3480 | { |
---|
[db83bf] | 3481 | if(c->gcd_of_terms[i]) |
---|
[410ea0f] | 3482 | pDelete (&(c->gcd_of_terms[i])); |
---|
[4f858ce] | 3483 | } |
---|
[410ea0f] | 3484 | omfree (c->gcd_of_terms); |
---|
[4f858ce] | 3485 | |
---|
[410ea0f] | 3486 | omfree (c->apairs); |
---|
[db83bf] | 3487 | if(TEST_OPT_PROT) |
---|
[4f858ce] | 3488 | { |
---|
[98e002] | 3489 | //Print("calculated %d NFs\n",c->normal_forms); |
---|
[410ea0f] | 3490 | Print ("\nNF:%i product criterion:%i, ext_product criterion:%i \n", |
---|
[db83bf] | 3491 | c->normal_forms, c->easy_product_crit, c->extended_product_crit); |
---|
[4f858ce] | 3492 | } |
---|
[31279e] | 3493 | |
---|
[db83bf] | 3494 | for(i = 0; i <= c->strat->sl; i++) |
---|
[5f4463] | 3495 | { |
---|
[db83bf] | 3496 | if(!c->strat->S[i]) |
---|
[410ea0f] | 3497 | continue; |
---|
| 3498 | BOOLEAN found = FALSE; |
---|
[db83bf] | 3499 | for(j = 0; j < c->n; j++) |
---|
[5f4463] | 3500 | { |
---|
[db83bf] | 3501 | if(c->S->m[j] == c->strat->S[i]) |
---|
[5f4463] | 3502 | { |
---|
[db83bf] | 3503 | found = TRUE; |
---|
| 3504 | break; |
---|
[4f858ce] | 3505 | } |
---|
| 3506 | } |
---|
[db83bf] | 3507 | if(!found) |
---|
[410ea0f] | 3508 | pDelete (&c->strat->S[i]); |
---|
[4f858ce] | 3509 | } |
---|
[2fc974] | 3510 | // for(i=0;i<c->n;i++) |
---|
| 3511 | // { |
---|
| 3512 | // if (c->rep[i]!=i) |
---|
| 3513 | // { |
---|
| 3514 | // // for(j=0;j<=c->strat->sl;j++) |
---|
| 3515 | // { |
---|
| 3516 | // // if(c->strat->S[j]==c->S->m[i]) |
---|
| 3517 | // { |
---|
[e4e1c2a] | 3518 | // // c->strat->S[j]=NULL; |
---|
| 3519 | // // break; |
---|
| 3520 | // // } |
---|
[4f858ce] | 3521 | // // } |
---|
| 3522 | // // PrintS("R_delete"); |
---|
| 3523 | // pDelete(&c->S->m[i]); |
---|
| 3524 | // } |
---|
| 3525 | // } |
---|
| 3526 | |
---|
[db83bf] | 3527 | if(completed) |
---|
[cae954] | 3528 | { |
---|
[db83bf] | 3529 | for(i = 0; i < c->n; i++) |
---|
[cae954] | 3530 | { |
---|
[410ea0f] | 3531 | assume (c->S->m[i] != NULL); |
---|
[db83bf] | 3532 | if(p_GetComp (c->S->m[i], currRing) > this->syz_comp) |
---|
| 3533 | continue; |
---|
| 3534 | for(j = 0; j < c->n; j++) |
---|
[2fc974] | 3535 | { |
---|
[db83bf] | 3536 | if((c->S->m[j] == NULL) || (i == j)) |
---|
| 3537 | continue; |
---|
| 3538 | assume (p_LmShortDivisibleBy (c->S->m[j], c->short_Exps[j], |
---|
| 3539 | c->S->m[i], ~c->short_Exps[i], |
---|
| 3540 | c->r) == p_LmDivisibleBy (c->S->m[j], |
---|
| 3541 | c->S->m[i], |
---|
| 3542 | c->r)); |
---|
| 3543 | if(p_LmShortDivisibleBy (c->S->m[j], c->short_Exps[j], |
---|
| 3544 | c->S->m[i], ~c->short_Exps[i], c->r)) |
---|
| 3545 | { |
---|
| 3546 | pDelete (&c->S->m[i]); |
---|
| 3547 | break; |
---|
| 3548 | } |
---|
[4f858ce] | 3549 | } |
---|
[cae954] | 3550 | } |
---|
[4f858ce] | 3551 | } |
---|
[410ea0f] | 3552 | omfree (c->short_Exps); |
---|
[31279e] | 3553 | |
---|
[410ea0f] | 3554 | ideal I = c->S; |
---|
| 3555 | IDELEMS (I) = c->n; |
---|
| 3556 | idSkipZeroes (I); |
---|
[db83bf] | 3557 | for(i = 0; i <= c->strat->sl; i++) |
---|
[410ea0f] | 3558 | c->strat->S[i] = NULL; |
---|
| 3559 | id_Delete (&c->strat->Shdl, c->r); |
---|
| 3560 | pDelete (&c->tmp_lm); |
---|
| 3561 | omUnGetSpecBin (&lm_bin); |
---|
[4f858ce] | 3562 | delete c->strat; |
---|
[68ae61] | 3563 | } |
---|
[6a2e9c] | 3564 | |
---|
[db83bf] | 3565 | ideal t_rep_gb (ring r, ideal arg_I, int syz_comp, BOOLEAN F4_mode) |
---|
[410ea0f] | 3566 | { |
---|
| 3567 | assume (r == currRing); |
---|
| 3568 | ring orig_ring = r; |
---|
| 3569 | int pos; |
---|
| 3570 | ring new_ring = rAssure_TDeg (orig_ring, 1, rVar (orig_ring), pos); |
---|
| 3571 | ideal s_h; |
---|
[db83bf] | 3572 | if(orig_ring != new_ring) |
---|
[410ea0f] | 3573 | { |
---|
| 3574 | rChangeCurrRing (new_ring); |
---|
| 3575 | s_h = idrCopyR_NoSort (arg_I, orig_ring); |
---|
| 3576 | idTest (s_h); |
---|
| 3577 | /*int i; |
---|
| 3578 | for(i=0;i<IDELEMS(s_h);i++) |
---|
| 3579 | { |
---|
| 3580 | poly p=s_h->m[i]; |
---|
| 3581 | while(p) |
---|
| 3582 | { |
---|
| 3583 | p_Setm(p,new_ring); |
---|
| 3584 | pIter(p); |
---|
| 3585 | } |
---|
| 3586 | } */ |
---|
| 3587 | } |
---|
| 3588 | else |
---|
| 3589 | { |
---|
| 3590 | s_h = id_Copy (arg_I, orig_ring); |
---|
| 3591 | } |
---|
| 3592 | |
---|
| 3593 | ideal s_result = do_t_rep_gb (new_ring, s_h, syz_comp, F4_mode, pos); |
---|
| 3594 | ideal result; |
---|
[db83bf] | 3595 | if(orig_ring != new_ring) |
---|
[410ea0f] | 3596 | { |
---|
| 3597 | idTest (s_result); |
---|
| 3598 | rChangeCurrRing (orig_ring); |
---|
| 3599 | result = idrMoveR_NoSort (s_result, new_ring); |
---|
| 3600 | |
---|
| 3601 | idTest (result); |
---|
| 3602 | //rChangeCurrRing(new_ring); |
---|
| 3603 | rKill (new_ring); |
---|
| 3604 | //rChangeCurrRing(orig_ring); |
---|
| 3605 | } |
---|
| 3606 | else |
---|
| 3607 | result = s_result; |
---|
| 3608 | idTest (result); |
---|
| 3609 | return result; |
---|
[86aa6a1] | 3610 | } |
---|
[6a2e9c] | 3611 | |
---|
[410ea0f] | 3612 | ideal |
---|
| 3613 | do_t_rep_gb (ring r, ideal arg_I, int syz_comp, BOOLEAN F4_mode, int deg_pos) |
---|
[2fc974] | 3614 | { |
---|
[1821d6] | 3615 | // Print("QlogSize(0) %d, QlogSize(1) %d,QlogSize(-2) %d, QlogSize(5) %d\n", QlogSize(nlInit(0)),QlogSize(nlInit(1)),QlogSize(nlInit(-2)),QlogSize(nlInit(5))); |
---|
[5a9e7b] | 3616 | |
---|
[db83bf] | 3617 | if(TEST_OPT_PROT) |
---|
| 3618 | if(F4_mode) |
---|
[410ea0f] | 3619 | PrintS ("F4 Modus \n"); |
---|
[31279e] | 3620 | |
---|
[68ae61] | 3621 | //debug_Ideal=arg_debug_Ideal; |
---|
| 3622 | //if (debug_Ideal) PrintS("DebugIdeal received\n"); |
---|
| 3623 | // Print("Idelems %i \n----------\n",IDELEMS(arg_I)); |
---|
[410ea0f] | 3624 | ideal I = arg_I; |
---|
| 3625 | idCompactify (I); |
---|
[db83bf] | 3626 | if(idIs0 (I)) |
---|
[410ea0f] | 3627 | return I; |
---|
[10ea45f] | 3628 | int i; |
---|
[db83bf] | 3629 | for(i = 0; i < IDELEMS (I); i++) |
---|
[31279e] | 3630 | { |
---|
[410ea0f] | 3631 | assume (I->m[i] != NULL); |
---|
| 3632 | simplify_poly (I->m[i], currRing); |
---|
[3ea446] | 3633 | } |
---|
[5a9e7b] | 3634 | |
---|
[410ea0f] | 3635 | qsort (I->m, IDELEMS (I), sizeof (poly), poly_crit); |
---|
[68ae61] | 3636 | //Print("Idelems %i \n----------\n",IDELEMS(I)); |
---|
| 3637 | //slimgb_alg* c=(slimgb_alg*) omalloc(sizeof(slimgb_alg)); |
---|
[625767] | 3638 | //int syz_comp=arg_I->rank; |
---|
[410ea0f] | 3639 | slimgb_alg *c = new slimgb_alg (I, syz_comp, F4_mode, deg_pos); |
---|
[31279e] | 3640 | |
---|
[db83bf] | 3641 | while((c->pair_top >= 0) |
---|
| 3642 | && ((!(TEST_OPT_DEGBOUND)) |
---|
| 3643 | || (c->apairs[c->pair_top]->deg <= Kstd1_deg))) |
---|
[68ae61] | 3644 | { |
---|
[410ea0f] | 3645 | #ifdef HAVE_F4 |
---|
[db83bf] | 3646 | if(F4_mode) |
---|
[410ea0f] | 3647 | go_on_F4 (c); |
---|
[68ae61] | 3648 | else |
---|
[410ea0f] | 3649 | #endif |
---|
| 3650 | go_on (c); |
---|
[68ae61] | 3651 | } |
---|
[db83bf] | 3652 | if(c->pair_top < 0) |
---|
[410ea0f] | 3653 | c->completed = TRUE; |
---|
| 3654 | I = c->S; |
---|
[68ae61] | 3655 | delete c; |
---|
[db83bf] | 3656 | if(TEST_OPT_REDSB) |
---|
[e7c6b22] | 3657 | { |
---|
[410ea0f] | 3658 | ideal erg = kInterRed (I, NULL); |
---|
| 3659 | assume (I != erg); |
---|
| 3660 | id_Delete (&I, currRing); |
---|
[83f7ec] | 3661 | return erg; |
---|
| 3662 | } |
---|
[227a50] | 3663 | //qsort(I->m, IDELEMS(I),sizeof(poly),pLmCmp_func); |
---|
[410ea0f] | 3664 | assume (I->rank >= idRankFreeModule (I)); |
---|
| 3665 | return (I); |
---|
[4f858ce] | 3666 | } |
---|
[2fc974] | 3667 | |
---|
[db83bf] | 3668 | void now_t_rep (const int &arg_i, const int &arg_j, slimgb_alg * c) |
---|
[d231ed] | 3669 | { |
---|
[410ea0f] | 3670 | int i, j; |
---|
[db83bf] | 3671 | if(arg_i == arg_j) |
---|
[d231ed] | 3672 | { |
---|
[4f858ce] | 3673 | return; |
---|
| 3674 | } |
---|
[db83bf] | 3675 | if(arg_i > arg_j) |
---|
[d231ed] | 3676 | { |
---|
[410ea0f] | 3677 | i = arg_j; |
---|
| 3678 | j = arg_i; |
---|
[d231ed] | 3679 | } |
---|
| 3680 | else |
---|
| 3681 | { |
---|
[410ea0f] | 3682 | i = arg_i; |
---|
| 3683 | j = arg_j; |
---|
[4f858ce] | 3684 | } |
---|
[410ea0f] | 3685 | c->states[j][i] = HASTREP; |
---|
[4f858ce] | 3686 | } |
---|
[ad6ad2] | 3687 | |
---|
[410ea0f] | 3688 | static BOOLEAN |
---|
| 3689 | has_t_rep (const int &arg_i, const int &arg_j, slimgb_alg * state) |
---|
[d231ed] | 3690 | { |
---|
[410ea0f] | 3691 | assume (0 <= arg_i); |
---|
| 3692 | assume (0 <= arg_j); |
---|
| 3693 | assume (arg_i < state->n); |
---|
| 3694 | assume (arg_j < state->n); |
---|
[db83bf] | 3695 | if(arg_i == arg_j) |
---|
[4f858ce] | 3696 | { |
---|
| 3697 | return (TRUE); |
---|
| 3698 | } |
---|
[db83bf] | 3699 | if(arg_i > arg_j) |
---|
[4f858ce] | 3700 | { |
---|
[410ea0f] | 3701 | return (state->states[arg_i][arg_j] == HASTREP); |
---|
[d231ed] | 3702 | } |
---|
| 3703 | else |
---|
[4f858ce] | 3704 | { |
---|
[410ea0f] | 3705 | return (state->states[arg_j][arg_i] == HASTREP); |
---|
[4f858ce] | 3706 | } |
---|
| 3707 | } |
---|
[a41623] | 3708 | |
---|
[db83bf] | 3709 | #if 0 // unused |
---|
| 3710 | static int pLcmDeg (poly a, poly b) |
---|
[4f858ce] | 3711 | { |
---|
| 3712 | int i; |
---|
[410ea0f] | 3713 | int n = 0; |
---|
[1f637e] | 3714 | for(i = (currRing->N); i; i--) |
---|
[4f858ce] | 3715 | { |
---|
[410ea0f] | 3716 | n += si_max (pGetExp (a, i), pGetExp (b, i)); |
---|
[4f858ce] | 3717 | } |
---|
| 3718 | return n; |
---|
| 3719 | } |
---|
[a41623] | 3720 | #endif |
---|
[4f858ce] | 3721 | |
---|
[db83bf] | 3722 | static void shorten_tails (slimgb_alg * c, poly monom) |
---|
[4f858ce] | 3723 | { |
---|
| 3724 | return; |
---|
| 3725 | // BOOLEAN corr=lenS_correct(c->strat); |
---|
[db83bf] | 3726 | for(int i = 0; i < c->n; i++) |
---|
[4f858ce] | 3727 | { |
---|
| 3728 | //enter tail |
---|
[2fc974] | 3729 | |
---|
[db83bf] | 3730 | if(c->S->m[i] == NULL) |
---|
[410ea0f] | 3731 | continue; |
---|
| 3732 | poly tail = c->S->m[i]->next; |
---|
| 3733 | poly prev = c->S->m[i]; |
---|
| 3734 | BOOLEAN did_something = FALSE; |
---|
[db83bf] | 3735 | while((tail != NULL) && (pLmCmp (tail, monom) >= 0)) |
---|
[4f858ce] | 3736 | { |
---|
[db83bf] | 3737 | if(p_LmDivisibleBy (monom, tail, c->r)) |
---|
[4f858ce] | 3738 | { |
---|
[db83bf] | 3739 | did_something = TRUE; |
---|
| 3740 | prev->next = tail->next; |
---|
| 3741 | tail->next = NULL; |
---|
| 3742 | p_Delete (&tail, c->r); |
---|
| 3743 | tail = prev; |
---|
| 3744 | //PrintS("Shortened"); |
---|
| 3745 | c->lengths[i]--; |
---|
[4f858ce] | 3746 | } |
---|
[410ea0f] | 3747 | prev = tail; |
---|
| 3748 | tail = tail->next; |
---|
[4f858ce] | 3749 | } |
---|
[db83bf] | 3750 | if(did_something) |
---|
[4f858ce] | 3751 | { |
---|
| 3752 | int new_pos; |
---|
[25061a] | 3753 | wlen_type q; |
---|
[410ea0f] | 3754 | q = pQuality (c->S->m[i], c, c->lengths[i]); |
---|
| 3755 | new_pos = simple_posInS (c->strat, c->S->m[i], c->lengths[i], q); |
---|
[4f858ce] | 3756 | |
---|
[410ea0f] | 3757 | int old_pos = -1; |
---|
[4f858ce] | 3758 | //assume new_pos<old_pos |
---|
[db83bf] | 3759 | for(int z = 0; z <= c->strat->sl; z++) |
---|
[4f858ce] | 3760 | { |
---|
[db83bf] | 3761 | if(c->strat->S[z] == c->S->m[i]) |
---|
| 3762 | { |
---|
| 3763 | old_pos = z; |
---|
| 3764 | break; |
---|
| 3765 | } |
---|
[4f858ce] | 3766 | } |
---|
[db83bf] | 3767 | if(old_pos == -1) |
---|
| 3768 | for(int z = new_pos - 1; z >= 0; z--) |
---|
| 3769 | { |
---|
| 3770 | if(c->strat->S[z] == c->S->m[i]) |
---|
| 3771 | { |
---|
| 3772 | old_pos = z; |
---|
| 3773 | break; |
---|
| 3774 | } |
---|
| 3775 | } |
---|
[410ea0f] | 3776 | assume (old_pos >= 0); |
---|
| 3777 | assume (new_pos <= old_pos); |
---|
| 3778 | assume (pLength (c->strat->S[old_pos]) == c->lengths[i]); |
---|
| 3779 | c->strat->lenS[old_pos] = c->lengths[i]; |
---|
[db83bf] | 3780 | if(c->strat->lenSw) |
---|
| 3781 | c->strat->lenSw[old_pos] = q; |
---|
| 3782 | if(new_pos < old_pos) |
---|
| 3783 | move_forward_in_S (old_pos, new_pos, c->strat); |
---|
[410ea0f] | 3784 | length_one_crit (c, i, c->lengths[i]); |
---|
[4f858ce] | 3785 | } |
---|
| 3786 | } |
---|
| 3787 | } |
---|
[2fc974] | 3788 | |
---|
[db83bf] | 3789 | #if 0 // currently unused |
---|
| 3790 | static sorted_pair_node *pop_pair (slimgb_alg * c) |
---|
[d231ed] | 3791 | { |
---|
[410ea0f] | 3792 | clean_top_of_pair_list (c); |
---|
[4f858ce] | 3793 | |
---|
[db83bf] | 3794 | if(c->pair_top < 0) |
---|
[410ea0f] | 3795 | return NULL; |
---|
| 3796 | else |
---|
| 3797 | return (c->apairs[c->pair_top--]); |
---|
[4f858ce] | 3798 | } |
---|
[a41623] | 3799 | #endif |
---|
[2fc974] | 3800 | |
---|
[db83bf] | 3801 | void slimgb_alg::cleanDegs (int lower, int upper) |
---|
[d231ed] | 3802 | { |
---|
[410ea0f] | 3803 | assume (is_homog); |
---|
[9108d3] | 3804 | int deg; |
---|
[db83bf] | 3805 | if(TEST_OPT_PROT) |
---|
[d231ed] | 3806 | { |
---|
[410ea0f] | 3807 | PrintS ("C"); |
---|
[9108d3] | 3808 | } |
---|
[db83bf] | 3809 | for(deg = lower; deg <= upper; deg++) |
---|
[d231ed] | 3810 | { |
---|
[9108d3] | 3811 | int i; |
---|
[db83bf] | 3812 | for(i = 0; i < n; i++) |
---|
[d231ed] | 3813 | { |
---|
[db83bf] | 3814 | if(T_deg[i] == deg) |
---|
[d231ed] | 3815 | { |
---|
[db83bf] | 3816 | poly h; |
---|
| 3817 | h = S->m[i]; |
---|
| 3818 | h = redNFTail (h, strat->sl, strat, lengths[i]); |
---|
| 3819 | if(!rField_is_Zp (r)) |
---|
| 3820 | { |
---|
| 3821 | p_Cleardenom (h, r); |
---|
| 3822 | //p_Content(h,r); |
---|
| 3823 | } |
---|
| 3824 | else |
---|
| 3825 | pNorm (h); |
---|
| 3826 | //TODO:GCD of TERMS |
---|
| 3827 | poly got =::gcd_of_terms (h, r); |
---|
| 3828 | p_Delete (&gcd_of_terms[i], r); |
---|
| 3829 | gcd_of_terms[i] = got; |
---|
| 3830 | int len = pLength (h); |
---|
| 3831 | wlen_type wlen = pQuality (h, this, len); |
---|
| 3832 | if(weighted_lengths) |
---|
| 3833 | weighted_lengths[i] = wlen; |
---|
| 3834 | lengths[i] = len; |
---|
| 3835 | assume (h == S->m[i]); |
---|
| 3836 | int j; |
---|
| 3837 | for(j = 0; j <= strat->sl; j++) |
---|
| 3838 | { |
---|
| 3839 | if(h == strat->S[j]) |
---|
| 3840 | { |
---|
| 3841 | int new_pos = simple_posInS (strat, h, len, wlen); |
---|
| 3842 | if(strat->lenS) |
---|
| 3843 | { |
---|
| 3844 | strat->lenS[j] = len; |
---|
| 3845 | } |
---|
| 3846 | if(strat->lenSw) |
---|
| 3847 | { |
---|
| 3848 | strat->lenSw[j] = wlen; |
---|
| 3849 | } |
---|
| 3850 | if(new_pos < j) |
---|
| 3851 | { |
---|
| 3852 | move_forward_in_S (j, new_pos, strat); |
---|
| 3853 | } |
---|
| 3854 | else |
---|
| 3855 | { |
---|
| 3856 | if(new_pos > j) |
---|
| 3857 | new_pos = new_pos - 1; //is identical with one element |
---|
| 3858 | if(new_pos > j) |
---|
| 3859 | move_backward_in_S (j, new_pos, strat); |
---|
| 3860 | } |
---|
| 3861 | break; |
---|
| 3862 | } |
---|
| 3863 | } |
---|
[410ea0f] | 3864 | } |
---|
[9108d3] | 3865 | } |
---|
| 3866 | } |
---|
| 3867 | { |
---|
[410ea0f] | 3868 | int i, j; |
---|
[db83bf] | 3869 | for(i = 0; i < this->n; i++) |
---|
[d231ed] | 3870 | { |
---|
[db83bf] | 3871 | for(j = 0; j < i; j++) |
---|
[d231ed] | 3872 | { |
---|
[db83bf] | 3873 | if(T_deg[i] + T_deg[j] <= upper) |
---|
| 3874 | { |
---|
| 3875 | now_t_rep (i, j, this); |
---|
| 3876 | } |
---|
[9108d3] | 3877 | } |
---|
| 3878 | } |
---|
| 3879 | } |
---|
| 3880 | //TODO resort and update strat->S,strat->lenSw |
---|
| 3881 | //TODO mark pairs |
---|
| 3882 | } |
---|
[2fc974] | 3883 | |
---|
[db83bf] | 3884 | sorted_pair_node *top_pair (slimgb_alg * c) |
---|
[d231ed] | 3885 | { |
---|
[db83bf] | 3886 | while(c->pair_top >= 0) |
---|
[d231ed] | 3887 | { |
---|
[db83bf] | 3888 | super_clean_top_of_pair_list (c); //yeah, I know, it's odd that I use a different proc here |
---|
| 3889 | if((c->is_homog) && (c->pair_top >= 0) |
---|
| 3890 | && (c->apairs[c->pair_top]->deg >= c->lastCleanedDeg + 2)) |
---|
[d231ed] | 3891 | { |
---|
[410ea0f] | 3892 | int upper = c->apairs[c->pair_top]->deg - 1; |
---|
| 3893 | c->cleanDegs (c->lastCleanedDeg + 1, upper); |
---|
| 3894 | c->lastCleanedDeg = upper; |
---|
[d231ed] | 3895 | } |
---|
| 3896 | else |
---|
| 3897 | { |
---|
[9108d3] | 3898 | break; |
---|
| 3899 | } |
---|
| 3900 | } |
---|
[2fc974] | 3901 | |
---|
[db83bf] | 3902 | if(c->pair_top < 0) |
---|
[410ea0f] | 3903 | return NULL; |
---|
| 3904 | else |
---|
| 3905 | return (c->apairs[c->pair_top]); |
---|
[4f858ce] | 3906 | } |
---|
[2fc974] | 3907 | |
---|
[db83bf] | 3908 | sorted_pair_node *quick_pop_pair (slimgb_alg * c) |
---|
[d231ed] | 3909 | { |
---|
[db83bf] | 3910 | if(c->pair_top < 0) |
---|
[410ea0f] | 3911 | return NULL; |
---|
| 3912 | else |
---|
| 3913 | return (c->apairs[c->pair_top--]); |
---|
[4f858ce] | 3914 | } |
---|
[9cd599] | 3915 | |
---|
[db83bf] | 3916 | static void super_clean_top_of_pair_list (slimgb_alg * c) |
---|
[d231ed] | 3917 | { |
---|
[db83bf] | 3918 | while((c->pair_top >= 0) |
---|
| 3919 | && (c->apairs[c->pair_top]->i >= 0) |
---|
| 3920 | && |
---|
| 3921 | (good_has_t_rep |
---|
| 3922 | (c->apairs[c->pair_top]->j, c->apairs[c->pair_top]->i, c))) |
---|
[4f858ce] | 3923 | { |
---|
[410ea0f] | 3924 | free_sorted_pair_node (c->apairs[c->pair_top], c->r); |
---|
[4f858ce] | 3925 | c->pair_top--; |
---|
| 3926 | } |
---|
| 3927 | } |
---|
[2fc974] | 3928 | |
---|
[db83bf] | 3929 | void clean_top_of_pair_list (slimgb_alg * c) |
---|
[d231ed] | 3930 | { |
---|
[db83bf] | 3931 | while((c->pair_top >= 0) && (c->apairs[c->pair_top]->i >= 0) |
---|
| 3932 | && |
---|
| 3933 | (!state_is |
---|
| 3934 | (UNCALCULATED, c->apairs[c->pair_top]->j, c->apairs[c->pair_top]->i, |
---|
| 3935 | c))) |
---|
[d231ed] | 3936 | { |
---|
[410ea0f] | 3937 | free_sorted_pair_node (c->apairs[c->pair_top], c->r); |
---|
[4f858ce] | 3938 | c->pair_top--; |
---|
| 3939 | } |
---|
| 3940 | } |
---|
[2fc974] | 3941 | |
---|
[410ea0f] | 3942 | static BOOLEAN |
---|
| 3943 | state_is (calc_state state, const int &arg_i, const int &arg_j, |
---|
[db83bf] | 3944 | slimgb_alg * c) |
---|
[d231ed] | 3945 | { |
---|
[410ea0f] | 3946 | assume (0 <= arg_i); |
---|
| 3947 | assume (0 <= arg_j); |
---|
| 3948 | assume (arg_i < c->n); |
---|
| 3949 | assume (arg_j < c->n); |
---|
[db83bf] | 3950 | if(arg_i == arg_j) |
---|
[4f858ce] | 3951 | { |
---|
| 3952 | return (TRUE); |
---|
| 3953 | } |
---|
[db83bf] | 3954 | if(arg_i > arg_j) |
---|
[4f858ce] | 3955 | { |
---|
[410ea0f] | 3956 | return (c->states[arg_i][arg_j] == state); |
---|
[4f858ce] | 3957 | } |
---|
[410ea0f] | 3958 | else |
---|
| 3959 | return (c->states[arg_j][arg_i] == state); |
---|
[4f858ce] | 3960 | } |
---|
[5bf76c] | 3961 | |
---|
[db83bf] | 3962 | void free_sorted_pair_node (sorted_pair_node * s, ring r) |
---|
[d231ed] | 3963 | { |
---|
[db83bf] | 3964 | if(s->i >= 0) |
---|
[410ea0f] | 3965 | p_Delete (&s->lcm_of_lm, r); |
---|
| 3966 | omfree (s); |
---|
[4f858ce] | 3967 | } |
---|
[2fc974] | 3968 | |
---|
[410ea0f] | 3969 | static BOOLEAN |
---|
| 3970 | pair_better (sorted_pair_node * a, sorted_pair_node * b, slimgb_alg * c) |
---|
[d231ed] | 3971 | { |
---|
[db83bf] | 3972 | if(a->deg < b->deg) |
---|
[410ea0f] | 3973 | return TRUE; |
---|
[db83bf] | 3974 | if(a->deg > b->deg) |
---|
[410ea0f] | 3975 | return FALSE; |
---|
[4f858ce] | 3976 | |
---|
[410ea0f] | 3977 | int comp = pLmCmp (a->lcm_of_lm, b->lcm_of_lm); |
---|
[db83bf] | 3978 | if(comp == 1) |
---|
[410ea0f] | 3979 | return FALSE; |
---|
[db83bf] | 3980 | if(-1 == comp) |
---|
[410ea0f] | 3981 | return TRUE; |
---|
[db83bf] | 3982 | if(a->expected_length < b->expected_length) |
---|
[410ea0f] | 3983 | return TRUE; |
---|
[db83bf] | 3984 | if(a->expected_length > b->expected_length) |
---|
[410ea0f] | 3985 | return FALSE; |
---|
[db83bf] | 3986 | if(a->i + a->j < b->i + b->j) |
---|
[410ea0f] | 3987 | return TRUE; |
---|
[db83bf] | 3988 | if(a->i + a->j > b->i + b->j) |
---|
[410ea0f] | 3989 | return FALSE; |
---|
[db83bf] | 3990 | if(a->i < b->i) |
---|
[410ea0f] | 3991 | return TRUE; |
---|
[db83bf] | 3992 | if(a->i > b->i) |
---|
[410ea0f] | 3993 | return FALSE; |
---|
[4f858ce] | 3994 | return TRUE; |
---|
| 3995 | } |
---|
| 3996 | |
---|
[db83bf] | 3997 | static int tgb_pair_better_gen (const void *ap, const void *bp) |
---|
[410ea0f] | 3998 | { |
---|
| 3999 | sorted_pair_node *a = *((sorted_pair_node **) ap); |
---|
| 4000 | sorted_pair_node *b = *((sorted_pair_node **) bp); |
---|
| 4001 | assume ((a->i > a->j) || (a->i < 0)); |
---|
| 4002 | assume ((b->i > b->j) || (b->i < 0)); |
---|
[db83bf] | 4003 | if(a->deg < b->deg) |
---|
[410ea0f] | 4004 | return -1; |
---|
[db83bf] | 4005 | if(a->deg > b->deg) |
---|
[410ea0f] | 4006 | return 1; |
---|
| 4007 | |
---|
| 4008 | int comp = pLmCmp (a->lcm_of_lm, b->lcm_of_lm); |
---|
| 4009 | |
---|
[db83bf] | 4010 | if(comp == 1) |
---|
[410ea0f] | 4011 | return 1; |
---|
[db83bf] | 4012 | if(-1 == comp) |
---|
[410ea0f] | 4013 | return -1; |
---|
[db83bf] | 4014 | if(a->expected_length < b->expected_length) |
---|
[410ea0f] | 4015 | return -1; |
---|
[db83bf] | 4016 | if(a->expected_length > b->expected_length) |
---|
[410ea0f] | 4017 | return 1; |
---|
[db83bf] | 4018 | if(a->i + a->j < b->i + b->j) |
---|
[410ea0f] | 4019 | return -1; |
---|
[db83bf] | 4020 | if(a->i + a->j > b->i + b->j) |
---|
[410ea0f] | 4021 | return 1; |
---|
[db83bf] | 4022 | if(a->i < b->i) |
---|
[410ea0f] | 4023 | return -1; |
---|
[db83bf] | 4024 | if(a->i > b->i) |
---|
[410ea0f] | 4025 | return 1; |
---|
[4f858ce] | 4026 | return 0; |
---|
| 4027 | } |
---|
| 4028 | |
---|
[db83bf] | 4029 | static poly gcd_of_terms (poly p, ring r) |
---|
[d231ed] | 4030 | { |
---|
[410ea0f] | 4031 | int max_g_0 = 0; |
---|
| 4032 | assume (p != NULL); |
---|
[4f858ce] | 4033 | int i; |
---|
[410ea0f] | 4034 | poly m = pOne (); |
---|
[4f858ce] | 4035 | poly t; |
---|
[1f637e] | 4036 | for(i = (currRing->N); i; i--) |
---|
[4f858ce] | 4037 | { |
---|
[410ea0f] | 4038 | pSetExp (m, i, pGetExp (p, i)); |
---|
[db83bf] | 4039 | if(max_g_0 == 0) |
---|
| 4040 | if(pGetExp (m, i) > 0) |
---|
| 4041 | max_g_0 = i; |
---|
[4f858ce] | 4042 | } |
---|
[2fc974] | 4043 | |
---|
[410ea0f] | 4044 | t = p->next; |
---|
[db83bf] | 4045 | while(t != NULL) |
---|
[d231ed] | 4046 | { |
---|
[db83bf] | 4047 | if(max_g_0 == 0) |
---|
[410ea0f] | 4048 | break; |
---|
[db83bf] | 4049 | for(i = max_g_0; i; i--) |
---|
[4f858ce] | 4050 | { |
---|
[410ea0f] | 4051 | pSetExp (m, i, si_min (pGetExp (t, i), pGetExp (m, i))); |
---|
[db83bf] | 4052 | if(max_g_0 == i) |
---|
| 4053 | if(pGetExp (m, i) == 0) |
---|
| 4054 | max_g_0 = 0; |
---|
| 4055 | if((max_g_0 == 0) && (pGetExp (m, i) > 0)) |
---|
[d231ed] | 4056 | { |
---|
[db83bf] | 4057 | max_g_0 = i; |
---|
[4f858ce] | 4058 | } |
---|
| 4059 | } |
---|
[410ea0f] | 4060 | t = t->next; |
---|
[4f858ce] | 4061 | } |
---|
[410ea0f] | 4062 | p_Setm (m, r); |
---|
[db83bf] | 4063 | if(max_g_0 > 0) |
---|
[4f858ce] | 4064 | return m; |
---|
[410ea0f] | 4065 | pDelete (&m); |
---|
[4f858ce] | 4066 | return NULL; |
---|
| 4067 | } |
---|
[2fc974] | 4068 | |
---|
[db83bf] | 4069 | static inline BOOLEAN pHasNotCFExtended (poly p1, poly p2, poly m) |
---|
[4f858ce] | 4070 | { |
---|
[2fc974] | 4071 | |
---|
[db83bf] | 4072 | if(pGetComp (p1) > 0 || pGetComp (p2) > 0) |
---|
[4f858ce] | 4073 | return FALSE; |
---|
| 4074 | int i = 1; |
---|
| 4075 | loop |
---|
| 4076 | { |
---|
[db83bf] | 4077 | if((pGetExp (p1, i) - pGetExp (m, i) > 0) |
---|
| 4078 | && (pGetExp (p2, i) - pGetExp (m, i) > 0)) |
---|
[410ea0f] | 4079 | return FALSE; |
---|
[1f637e] | 4080 | if(i == (currRing->N)) |
---|
[410ea0f] | 4081 | return TRUE; |
---|
[4f858ce] | 4082 | i++; |
---|
| 4083 | } |
---|
| 4084 | } |
---|
| 4085 | |
---|
| 4086 | //for impl reasons may return false if the the normal product criterion matches |
---|
[410ea0f] | 4087 | static inline BOOLEAN |
---|
| 4088 | extended_product_criterion (poly p1, poly gcd1, poly p2, poly gcd2, |
---|
[db83bf] | 4089 | slimgb_alg * c) |
---|
[d231ed] | 4090 | { |
---|
[db83bf] | 4091 | if(c->nc) |
---|
[d491e3] | 4092 | return FALSE; |
---|
[db83bf] | 4093 | if(gcd1 == NULL) |
---|
[410ea0f] | 4094 | return FALSE; |
---|
[db83bf] | 4095 | if(gcd2 == NULL) |
---|
[410ea0f] | 4096 | return FALSE; |
---|
[db83bf] | 4097 | gcd1->next = gcd2; //may ordered incorrect |
---|
[410ea0f] | 4098 | poly m = gcd_of_terms (gcd1, c->r); |
---|
| 4099 | gcd1->next = NULL; |
---|
[db83bf] | 4100 | if(m == NULL) |
---|
[410ea0f] | 4101 | return FALSE; |
---|
| 4102 | |
---|
| 4103 | BOOLEAN erg = pHasNotCFExtended (p1, p2, m); |
---|
| 4104 | pDelete (&m); |
---|
| 4105 | return erg; |
---|
[4f858ce] | 4106 | } |
---|
[2fc974] | 4107 | |
---|
[db83bf] | 4108 | #if 0 //currently unused |
---|
| 4109 | static poly kBucketGcd (kBucket * b, ring r) |
---|
[4f858ce] | 4110 | { |
---|
[410ea0f] | 4111 | int s = 0; |
---|
[4f858ce] | 4112 | int i; |
---|
| 4113 | poly m, n; |
---|
[410ea0f] | 4114 | BOOLEAN initialized = FALSE; |
---|
[db83bf] | 4115 | for(i = MAX_BUCKET - 1; i >= 0; i--) |
---|
[31279e] | 4116 | { |
---|
[db83bf] | 4117 | if(b->buckets[i] != NULL) |
---|
[d231ed] | 4118 | { |
---|
[db83bf] | 4119 | if(!initialized) |
---|
[d231ed] | 4120 | { |
---|
[db83bf] | 4121 | m = gcd_of_terms (b->buckets[i], r); |
---|
| 4122 | initialized = TRUE; |
---|
| 4123 | if(m == NULL) |
---|
| 4124 | return NULL; |
---|
[4f858ce] | 4125 | } |
---|
| 4126 | else |
---|
[410ea0f] | 4127 | { |
---|
[db83bf] | 4128 | n = gcd_of_terms (b->buckets[i], r); |
---|
| 4129 | if(n == NULL) |
---|
| 4130 | { |
---|
| 4131 | pDelete (&m); |
---|
| 4132 | return NULL; |
---|
| 4133 | } |
---|
| 4134 | n->next = m; |
---|
| 4135 | poly t = gcd_of_terms (n, r); |
---|
| 4136 | n->next = NULL; |
---|
| 4137 | pDelete (&m); |
---|
| 4138 | pDelete (&n); |
---|
| 4139 | m = t; |
---|
| 4140 | if(m == NULL) |
---|
| 4141 | return NULL; |
---|
[2fc974] | 4142 | |
---|
[410ea0f] | 4143 | } |
---|
[4f858ce] | 4144 | } |
---|
| 4145 | } |
---|
| 4146 | return m; |
---|
| 4147 | } |
---|
[a41623] | 4148 | #endif |
---|
[4f858ce] | 4149 | |
---|
[db83bf] | 4150 | static inline wlen_type quality_of_pos_in_strat_S (int pos, slimgb_alg * c) |
---|
[d231ed] | 4151 | { |
---|
[db83bf] | 4152 | if(c->strat->lenSw != NULL) |
---|
[410ea0f] | 4153 | return c->strat->lenSw[pos]; |
---|
[4f858ce] | 4154 | return c->strat->lenS[pos]; |
---|
| 4155 | } |
---|
[2fc974] | 4156 | |
---|
[1daae71] | 4157 | #ifdef HAVE_PLURAL |
---|
[410ea0f] | 4158 | static inline wlen_type |
---|
| 4159 | quality_of_pos_in_strat_S_mult_high (int pos, poly high, slimgb_alg * c) |
---|
[54e883b] | 4160 | //meant only for nc |
---|
| 4161 | { |
---|
[410ea0f] | 4162 | poly m = pOne (); |
---|
| 4163 | pExpVectorDiff (m, high, c->strat->S[pos]); |
---|
| 4164 | poly product = nc_mm_Mult_pp (m, c->strat->S[pos], c->r); |
---|
| 4165 | wlen_type erg = pQuality (product, c); |
---|
| 4166 | pDelete (&m); |
---|
| 4167 | pDelete (&product); |
---|
[54e883b] | 4168 | return erg; |
---|
| 4169 | } |
---|
[1daae71] | 4170 | #endif |
---|
[4f858ce] | 4171 | |
---|
[410ea0f] | 4172 | static void |
---|
| 4173 | multi_reduction_lls_trick (red_object * los, int losl, slimgb_alg * c, |
---|
[db83bf] | 4174 | find_erg & erg) |
---|
[d231ed] | 4175 | { |
---|
[410ea0f] | 4176 | erg.expand = NULL; |
---|
[db83bf] | 4177 | BOOLEAN swap_roles; //from reduce_by, to_reduce_u if fromS |
---|
| 4178 | if(erg.fromS) |
---|
[d231ed] | 4179 | { |
---|
[db83bf] | 4180 | if(pLmEqual (c->strat->S[erg.reduce_by], los[erg.to_reduce_u].p)) |
---|
[4f858ce] | 4181 | { |
---|
[410ea0f] | 4182 | wlen_type quality_a = quality_of_pos_in_strat_S (erg.reduce_by, c); |
---|
| 4183 | int best = erg.to_reduce_u + 1; |
---|
[4f858ce] | 4184 | /* |
---|
[2fc974] | 4185 | for (i=erg.to_reduce_u;i>=erg.to_reduce_l;i--) |
---|
| 4186 | { |
---|
[e4e1c2a] | 4187 | int qc=los[i].guess_quality(c); |
---|
[2fc974] | 4188 | if (qc<quality_a) |
---|
| 4189 | { |
---|
[e4e1c2a] | 4190 | best=i; |
---|
| 4191 | quality_a=qc; |
---|
| 4192 | } |
---|
[4f858ce] | 4193 | } |
---|
[2fc974] | 4194 | if(best!=erg.to_reduce_u+1) |
---|
| 4195 | {*/ |
---|
[ca4a891] | 4196 | wlen_type qc; |
---|
[410ea0f] | 4197 | best = find_best (los, erg.to_reduce_l, erg.to_reduce_u, qc, c); |
---|
[db83bf] | 4198 | if(qc < quality_a) |
---|
[d231ed] | 4199 | { |
---|
[db83bf] | 4200 | los[best].flatten (); |
---|
| 4201 | int b_pos = kBucketCanonicalize (los[best].bucket); |
---|
| 4202 | los[best].p = los[best].bucket->buckets[b_pos]; |
---|
| 4203 | qc = pQuality (los[best].bucket->buckets[b_pos], c); |
---|
| 4204 | if(qc < quality_a) |
---|
| 4205 | { |
---|
| 4206 | red_object h = los[erg.to_reduce_u]; |
---|
| 4207 | los[erg.to_reduce_u] = los[best]; |
---|
| 4208 | los[best] = h; |
---|
| 4209 | swap_roles = TRUE; |
---|
| 4210 | } |
---|
| 4211 | else |
---|
| 4212 | swap_roles = FALSE; |
---|
[4f858ce] | 4213 | } |
---|
[31279e] | 4214 | else |
---|
[4f858ce] | 4215 | { |
---|
[db83bf] | 4216 | swap_roles = FALSE; |
---|
[e4e1c2a] | 4217 | } |
---|
[4f858ce] | 4218 | } |
---|
[410ea0f] | 4219 | else |
---|
[2fc974] | 4220 | { |
---|
[db83bf] | 4221 | if(erg.to_reduce_u > erg.to_reduce_l) |
---|
[2fc974] | 4222 | { |
---|
[db83bf] | 4223 | wlen_type quality_a = quality_of_pos_in_strat_S (erg.reduce_by, c); |
---|
[410ea0f] | 4224 | #ifdef HAVE_PLURAL |
---|
[db83bf] | 4225 | if((c->nc) && (!(rIsSCA (c->r)))) |
---|
| 4226 | quality_a = |
---|
| 4227 | quality_of_pos_in_strat_S_mult_high (erg.reduce_by, |
---|
| 4228 | los[erg.to_reduce_u].p, c); |
---|
[410ea0f] | 4229 | #endif |
---|
[db83bf] | 4230 | int best = erg.to_reduce_u + 1; |
---|
| 4231 | wlen_type qc; |
---|
| 4232 | best = find_best (los, erg.to_reduce_l, erg.to_reduce_u, qc, c); |
---|
| 4233 | assume (qc == los[best].guess_quality (c)); |
---|
| 4234 | if(qc < quality_a) |
---|
| 4235 | { |
---|
| 4236 | los[best].flatten (); |
---|
| 4237 | int b_pos = kBucketCanonicalize (los[best].bucket); |
---|
| 4238 | los[best].p = los[best].bucket->buckets[b_pos]; |
---|
| 4239 | qc = pQuality (los[best].bucket->buckets[b_pos], c); |
---|
| 4240 | //(best!=erg.to_reduce_u+1) |
---|
| 4241 | if(qc < quality_a) |
---|
| 4242 | { |
---|
| 4243 | red_object h = los[erg.to_reduce_u]; |
---|
| 4244 | los[erg.to_reduce_u] = los[best]; |
---|
| 4245 | los[best] = h; |
---|
| 4246 | erg.reduce_by = erg.to_reduce_u; |
---|
| 4247 | erg.fromS = FALSE; |
---|
| 4248 | erg.to_reduce_u--; |
---|
| 4249 | } |
---|
| 4250 | } |
---|
[2fc974] | 4251 | } |
---|
| 4252 | else |
---|
| 4253 | { |
---|
[db83bf] | 4254 | assume (erg.to_reduce_u == erg.to_reduce_l); |
---|
| 4255 | wlen_type quality_a = quality_of_pos_in_strat_S (erg.reduce_by, c); |
---|
| 4256 | wlen_type qc = los[erg.to_reduce_u].guess_quality (c); |
---|
| 4257 | if(qc < 0) |
---|
| 4258 | PrintS ("Wrong wlen_type"); |
---|
| 4259 | if(qc < quality_a) |
---|
| 4260 | { |
---|
| 4261 | int best = erg.to_reduce_u; |
---|
| 4262 | los[best].flatten (); |
---|
| 4263 | int b_pos = kBucketCanonicalize (los[best].bucket); |
---|
| 4264 | los[best].p = los[best].bucket->buckets[b_pos]; |
---|
| 4265 | qc = pQuality (los[best].bucket->buckets[b_pos], c); |
---|
| 4266 | assume (qc >= 0); |
---|
| 4267 | if(qc < quality_a) |
---|
| 4268 | { |
---|
| 4269 | BOOLEAN exp = FALSE; |
---|
| 4270 | if(qc <= 2) |
---|
| 4271 | { |
---|
| 4272 | //Print("\n qc is %lld \n",qc); |
---|
| 4273 | exp = TRUE; |
---|
| 4274 | } |
---|
| 4275 | else |
---|
| 4276 | { |
---|
| 4277 | if(qc < quality_a / 2) |
---|
| 4278 | exp = TRUE; |
---|
| 4279 | else if(erg.reduce_by < c->n / 4) |
---|
| 4280 | exp = TRUE; |
---|
| 4281 | } |
---|
| 4282 | if(exp) |
---|
| 4283 | { |
---|
| 4284 | poly clear_into; |
---|
| 4285 | los[erg.to_reduce_u].flatten (); |
---|
| 4286 | kBucketClear (los[erg.to_reduce_u].bucket, &clear_into, |
---|
| 4287 | &erg.expand_length); |
---|
| 4288 | erg.expand = pCopy (clear_into); |
---|
| 4289 | kBucketInit (los[erg.to_reduce_u].bucket, clear_into, |
---|
| 4290 | erg.expand_length); |
---|
| 4291 | if(TEST_OPT_PROT) |
---|
| 4292 | PrintS ("e"); |
---|
| 4293 | } |
---|
| 4294 | } |
---|
| 4295 | } |
---|
[2fc974] | 4296 | } |
---|
| 4297 | |
---|
[410ea0f] | 4298 | swap_roles = FALSE; |
---|
[2fc974] | 4299 | return; |
---|
[410ea0f] | 4300 | } |
---|
[2fc974] | 4301 | } |
---|
| 4302 | else |
---|
| 4303 | { |
---|
[db83bf] | 4304 | if(erg.reduce_by > erg.to_reduce_u) |
---|
[2fc974] | 4305 | { |
---|
| 4306 | //then lm(rb)>= lm(tru) so = |
---|
[410ea0f] | 4307 | assume (erg.reduce_by == erg.to_reduce_u + 1); |
---|
| 4308 | int best = erg.reduce_by; |
---|
| 4309 | wlen_type quality_a = los[erg.reduce_by].guess_quality (c); |
---|
[2fc974] | 4310 | wlen_type qc; |
---|
[410ea0f] | 4311 | best = find_best (los, erg.to_reduce_l, erg.to_reduce_u, qc, c); |
---|
[2fc974] | 4312 | |
---|
[db83bf] | 4313 | if(qc < quality_a) |
---|
[2fc974] | 4314 | { |
---|
[db83bf] | 4315 | red_object h = los[erg.reduce_by]; |
---|
| 4316 | los[erg.reduce_by] = los[best]; |
---|
| 4317 | los[best] = h; |
---|
[410ea0f] | 4318 | } |
---|
| 4319 | swap_roles = FALSE; |
---|
| 4320 | return; |
---|
[2fc974] | 4321 | } |
---|
| 4322 | else |
---|
| 4323 | { |
---|
[410ea0f] | 4324 | assume (!pLmEqual (los[erg.reduce_by].p, los[erg.to_reduce_l].p)); |
---|
| 4325 | assume (erg.to_reduce_u == erg.to_reduce_l); |
---|
[2fc974] | 4326 | //further assume, that reduce_by is the above all other polys |
---|
| 4327 | //with same leading term |
---|
[410ea0f] | 4328 | int il = erg.reduce_by; |
---|
| 4329 | wlen_type quality_a = los[erg.reduce_by].guess_quality (c); |
---|
[2fc974] | 4330 | wlen_type qc; |
---|
[db83bf] | 4331 | while((il > 0) && pLmEqual (los[il - 1].p, los[il].p)) |
---|
[2fc974] | 4332 | { |
---|
[db83bf] | 4333 | il--; |
---|
| 4334 | qc = los[il].guess_quality (c); |
---|
| 4335 | if(qc < quality_a) |
---|
| 4336 | { |
---|
| 4337 | quality_a = qc; |
---|
| 4338 | erg.reduce_by = il; |
---|
| 4339 | } |
---|
[2fc974] | 4340 | } |
---|
[410ea0f] | 4341 | swap_roles = FALSE; |
---|
[2fc974] | 4342 | } |
---|
| 4343 | } |
---|
[db83bf] | 4344 | if(swap_roles) |
---|
[2fc974] | 4345 | { |
---|
[db83bf] | 4346 | if(TEST_OPT_PROT) |
---|
[410ea0f] | 4347 | PrintS ("b"); |
---|
[2fc974] | 4348 | poly clear_into; |
---|
| 4349 | int new_length; |
---|
[db83bf] | 4350 | int bp = erg.to_reduce_u; //bucket_positon |
---|
[2fc974] | 4351 | //kBucketClear(los[bp].bucket,&clear_into,&new_length); |
---|
[410ea0f] | 4352 | new_length = los[bp].clear_to_poly (); |
---|
| 4353 | clear_into = los[bp].p; |
---|
| 4354 | poly p = c->strat->S[erg.reduce_by]; |
---|
| 4355 | int j = erg.reduce_by; |
---|
[db83bf] | 4356 | int old_length = c->strat->lenS[j]; // in view of S |
---|
[410ea0f] | 4357 | los[bp].p = p; |
---|
[db83bf] | 4358 | if(c->eliminationProblem) |
---|
[2fc974] | 4359 | { |
---|
[410ea0f] | 4360 | los[bp].sugar = c->pTotaldegree_full (p); |
---|
[2fc974] | 4361 | } |
---|
[410ea0f] | 4362 | kBucketInit (los[bp].bucket, p, old_length); |
---|
| 4363 | wlen_type qal = pQuality (clear_into, c, new_length); |
---|
| 4364 | int pos_in_c = -1; |
---|
[2fc974] | 4365 | int z; |
---|
| 4366 | int new_pos; |
---|
[410ea0f] | 4367 | new_pos = simple_posInS (c->strat, clear_into, new_length, qal); |
---|
| 4368 | assume (new_pos <= j); |
---|
[db83bf] | 4369 | for(z = c->n; z; z--) |
---|
[2fc974] | 4370 | { |
---|
[db83bf] | 4371 | if(p == c->S->m[z - 1]) |
---|
[2fc974] | 4372 | { |
---|
[db83bf] | 4373 | pos_in_c = z - 1; |
---|
| 4374 | break; |
---|
[2fc974] | 4375 | } |
---|
| 4376 | } |
---|
[5a9e7b] | 4377 | |
---|
[410ea0f] | 4378 | int tdeg_full = -1; |
---|
| 4379 | int tdeg = -1; |
---|
[db83bf] | 4380 | if(pos_in_c >= 0) |
---|
[2fc974] | 4381 | { |
---|
[410ea0f] | 4382 | #ifdef TGB_RESORT_PAIRS |
---|
| 4383 | c->used_b = TRUE; |
---|
| 4384 | c->replaced[pos_in_c] = TRUE; |
---|
| 4385 | #endif |
---|
| 4386 | tdeg = c->T_deg[pos_in_c]; |
---|
| 4387 | c->S->m[pos_in_c] = clear_into; |
---|
| 4388 | c->lengths[pos_in_c] = new_length; |
---|
| 4389 | c->weighted_lengths[pos_in_c] = qal; |
---|
[db83bf] | 4390 | if(c->gcd_of_terms[pos_in_c] == NULL) |
---|
| 4391 | c->gcd_of_terms[pos_in_c] = gcd_of_terms (clear_into, c->r); |
---|
| 4392 | if(c->T_deg_full) |
---|
| 4393 | tdeg_full = c->T_deg_full[pos_in_c] = |
---|
| 4394 | c->pTotaldegree_full (clear_into); |
---|
[410ea0f] | 4395 | else |
---|
[db83bf] | 4396 | tdeg_full = tdeg; |
---|
[410ea0f] | 4397 | c_S_element_changed_hook (pos_in_c, c); |
---|
[2fc974] | 4398 | } |
---|
| 4399 | else |
---|
| 4400 | { |
---|
[db83bf] | 4401 | if(c->eliminationProblem) |
---|
[2fc974] | 4402 | { |
---|
[db83bf] | 4403 | tdeg_full = c->pTotaldegree_full (clear_into); |
---|
| 4404 | tdeg = c->pTotaldegree (clear_into); |
---|
[2fc974] | 4405 | } |
---|
| 4406 | } |
---|
[410ea0f] | 4407 | c->strat->S[j] = clear_into; |
---|
| 4408 | c->strat->lenS[j] = new_length; |
---|
[31279e] | 4409 | |
---|
[410ea0f] | 4410 | assume (pLength (clear_into) == new_length); |
---|
[db83bf] | 4411 | if(c->strat->lenSw != NULL) |
---|
[410ea0f] | 4412 | c->strat->lenSw[j] = qal; |
---|
[db83bf] | 4413 | if(!rField_is_Zp (c->r)) |
---|
[2fc974] | 4414 | { |
---|
[db83bf] | 4415 | p_Cleardenom (clear_into, c->r); //should be unnecessary |
---|
[2fc974] | 4416 | //p_Content(clear_into, c->r); |
---|
| 4417 | } |
---|
| 4418 | else |
---|
[410ea0f] | 4419 | pNorm (clear_into); |
---|
[4f858ce] | 4420 | #ifdef FIND_DETERMINISTIC |
---|
[410ea0f] | 4421 | erg.reduce_by = j; |
---|
[2fc974] | 4422 | //resort later see diploma thesis, find_in_S must be deterministic |
---|
| 4423 | //during multireduction if spolys are only in the span of the |
---|
| 4424 | //input polys |
---|
[4f858ce] | 4425 | #else |
---|
[db83bf] | 4426 | if(new_pos < j) |
---|
[2fc974] | 4427 | { |
---|
[db83bf] | 4428 | if(c->strat->honey) |
---|
| 4429 | c->strat->ecartS[j] = tdeg_full - tdeg; |
---|
[410ea0f] | 4430 | move_forward_in_S (j, new_pos, c->strat); |
---|
| 4431 | erg.reduce_by = new_pos; |
---|
[2fc974] | 4432 | } |
---|
[4f858ce] | 4433 | #endif |
---|
[2fc974] | 4434 | } |
---|
[4f858ce] | 4435 | } |
---|
[2fc974] | 4436 | |
---|
[db83bf] | 4437 | static int fwbw (red_object * los, int i) |
---|
[2fc974] | 4438 | { |
---|
[410ea0f] | 4439 | int i2 = i; |
---|
| 4440 | int step = 1; |
---|
[31279e] | 4441 | |
---|
[410ea0f] | 4442 | BOOLEAN bw = FALSE; |
---|
| 4443 | BOOLEAN incr = TRUE; |
---|
[31279e] | 4444 | |
---|
[db83bf] | 4445 | while(1) |
---|
[410ea0f] | 4446 | { |
---|
[db83bf] | 4447 | if(!bw) |
---|
[410ea0f] | 4448 | { |
---|
| 4449 | step = si_min (i2, step); |
---|
[db83bf] | 4450 | if(step == 0) |
---|
| 4451 | break; |
---|
[410ea0f] | 4452 | i2 -= step; |
---|
[31279e] | 4453 | |
---|
[db83bf] | 4454 | if(!pLmEqual (los[i].p, los[i2].p)) |
---|
[410ea0f] | 4455 | { |
---|
[db83bf] | 4456 | bw = TRUE; |
---|
| 4457 | incr = FALSE; |
---|
[410ea0f] | 4458 | } |
---|
| 4459 | else |
---|
| 4460 | { |
---|
[db83bf] | 4461 | if((!incr) && (step == 1)) |
---|
| 4462 | break; |
---|
[410ea0f] | 4463 | } |
---|
| 4464 | } |
---|
| 4465 | else |
---|
| 4466 | { |
---|
| 4467 | step = si_min (i - i2, step); |
---|
[db83bf] | 4468 | if(step == 0) |
---|
| 4469 | break; |
---|
[410ea0f] | 4470 | i2 += step; |
---|
[db83bf] | 4471 | if(pLmEqual (los[i].p, los[i2].p)) |
---|
[410ea0f] | 4472 | { |
---|
[db83bf] | 4473 | if(step == 1) |
---|
| 4474 | break; |
---|
| 4475 | else |
---|
| 4476 | { |
---|
| 4477 | bw = FALSE; |
---|
| 4478 | } |
---|
[410ea0f] | 4479 | } |
---|
| 4480 | } |
---|
[db83bf] | 4481 | if(incr) |
---|
[410ea0f] | 4482 | step *= 2; |
---|
| 4483 | else |
---|
| 4484 | { |
---|
[db83bf] | 4485 | if(step % 2 == 1) |
---|
| 4486 | step = (step + 1) / 2; |
---|
[410ea0f] | 4487 | else |
---|
[db83bf] | 4488 | step /= 2; |
---|
[410ea0f] | 4489 | } |
---|
| 4490 | } |
---|
| 4491 | return i2; |
---|
[4f858ce] | 4492 | } |
---|
[2fc974] | 4493 | |
---|
[410ea0f] | 4494 | static void |
---|
| 4495 | canonicalize_region (red_object * los, int l, int u, slimgb_alg * c) |
---|
[2fc974] | 4496 | { |
---|
[410ea0f] | 4497 | assume (l <= u + 1); |
---|
| 4498 | int i; |
---|
[db83bf] | 4499 | for(i = l; i <= u; i++) |
---|
[410ea0f] | 4500 | { |
---|
| 4501 | kBucketCanonicalize (los[i].bucket); |
---|
| 4502 | } |
---|
[03f3269] | 4503 | } |
---|
[410ea0f] | 4504 | |
---|
| 4505 | static void |
---|
| 4506 | multi_reduction_find (red_object * los, int losl, slimgb_alg * c, int startf, |
---|
[db83bf] | 4507 | find_erg & erg) |
---|
[2fc974] | 4508 | { |
---|
[410ea0f] | 4509 | kStrategy strat = c->strat; |
---|
[4f858ce] | 4510 | |
---|
[410ea0f] | 4511 | assume (startf <= losl); |
---|
| 4512 | assume ((startf == losl - 1) |
---|
[db83bf] | 4513 | || (pLmCmp (los[startf].p, los[startf + 1].p) == -1)); |
---|
[410ea0f] | 4514 | int i = startf; |
---|
[31279e] | 4515 | |
---|
[4f858ce] | 4516 | int j; |
---|
[db83bf] | 4517 | while(i >= 0) |
---|
[410ea0f] | 4518 | { |
---|
| 4519 | assume ((i == losl - 1) || (pLmCmp (los[i].p, los[i + 1].p) <= 0)); |
---|
| 4520 | assume (is_valid_ro (los[i])); |
---|
| 4521 | assume ((!(c->eliminationProblem)) |
---|
[db83bf] | 4522 | || (los[i].sugar >= c->pTotaldegree (los[i].p))); |
---|
[410ea0f] | 4523 | j = kFindDivisibleByInS_easy (strat, los[i]); |
---|
[db83bf] | 4524 | if(j >= 0) |
---|
[2fc974] | 4525 | { |
---|
[410ea0f] | 4526 | erg.to_reduce_u = i; |
---|
| 4527 | erg.reduce_by = j; |
---|
| 4528 | erg.fromS = TRUE; |
---|
| 4529 | int i2 = fwbw (los, i); |
---|
| 4530 | assume (pLmEqual (los[i].p, los[i2].p)); |
---|
| 4531 | assume ((i2 == 0) || (!pLmEqual (los[i2].p, los[i2 - 1].p))); |
---|
| 4532 | assume (i >= i2); |
---|
| 4533 | |
---|
| 4534 | erg.to_reduce_l = i2; |
---|
| 4535 | assume ((i == losl - 1) || (pLmCmp (los[i].p, los[i + 1].p) == -1)); |
---|
| 4536 | canonicalize_region (los, erg.to_reduce_u + 1, startf, c); |
---|
[4f858ce] | 4537 | return; |
---|
| 4538 | } |
---|
[db83bf] | 4539 | if(j < 0) |
---|
[2fc974] | 4540 | { |
---|
[4f858ce] | 4541 | //not reduceable, try to use this for reducing higher terms |
---|
[410ea0f] | 4542 | int i2 = fwbw (los, i); |
---|
| 4543 | assume (pLmEqual (los[i].p, los[i2].p)); |
---|
| 4544 | assume ((i2 == 0) || (!pLmEqual (los[i2].p, los[i2 - 1].p))); |
---|
| 4545 | assume (i >= i2); |
---|
[db83bf] | 4546 | if(i2 != i) |
---|
[2fc974] | 4547 | { |
---|
[db83bf] | 4548 | erg.to_reduce_u = i - 1; |
---|
| 4549 | erg.to_reduce_l = i2; |
---|
| 4550 | erg.reduce_by = i; |
---|
| 4551 | erg.fromS = FALSE; |
---|
| 4552 | assume ((i == losl - 1) || (pLmCmp (los[i].p, los[i + 1].p) == -1)); |
---|
| 4553 | canonicalize_region (los, erg.to_reduce_u + 1, startf, c); |
---|
| 4554 | return; |
---|
[4f858ce] | 4555 | } |
---|
| 4556 | i--; |
---|
| 4557 | } |
---|
| 4558 | } |
---|
[db83bf] | 4559 | erg.reduce_by = -1; //error code |
---|
[4f858ce] | 4560 | return; |
---|
| 4561 | } |
---|
| 4562 | |
---|
| 4563 | // nicht reduzierbare eintraege in ergebnisliste schreiben |
---|
| 4564 | // nullen loeschen |
---|
[2fc974] | 4565 | // while(finde_groessten leitterm reduzierbar(c,erg)) |
---|
| 4566 | // { |
---|
[31279e] | 4567 | |
---|
[410ea0f] | 4568 | static int |
---|
| 4569 | multi_reduction_clear_zeroes (red_object * los, int losl, int l, int u) |
---|
[4f858ce] | 4570 | { |
---|
[410ea0f] | 4571 | int deleted = 0; |
---|
| 4572 | int i = l; |
---|
| 4573 | int last = -1; |
---|
[db83bf] | 4574 | while(i <= u) |
---|
[4f858ce] | 4575 | { |
---|
[db83bf] | 4576 | if(los[i].p == NULL) |
---|
[2fc974] | 4577 | { |
---|
[410ea0f] | 4578 | kBucketDestroy (&los[i].bucket); |
---|
[4f858ce] | 4579 | // delete los[i];//here we assume los are constructed with new |
---|
[31279e] | 4580 | //destroy resources, must be added here |
---|
[db83bf] | 4581 | if(last >= 0) |
---|
[410ea0f] | 4582 | { |
---|
[db83bf] | 4583 | memmove (los + (int) (last + 1 - deleted), los + (last + 1), |
---|
| 4584 | sizeof (red_object) * (i - 1 - last)); |
---|
[410ea0f] | 4585 | } |
---|
| 4586 | last = i; |
---|
| 4587 | deleted++; |
---|
[4f858ce] | 4588 | } |
---|
| 4589 | i++; |
---|
| 4590 | } |
---|
[db83bf] | 4591 | if((last >= 0) && (last != losl - 1)) |
---|
[410ea0f] | 4592 | memmove (los + (int) (last + 1 - deleted), los + last + 1, |
---|
[db83bf] | 4593 | sizeof (red_object) * (losl - 1 - last)); |
---|
[4f858ce] | 4594 | return deleted; |
---|
| 4595 | } |
---|
[6a2e9c] | 4596 | |
---|
[db83bf] | 4597 | int search_red_object_pos (red_object * a, int top, red_object * key) |
---|
[2fc974] | 4598 | { |
---|
[410ea0f] | 4599 | int an = 0; |
---|
| 4600 | int en = top; |
---|
[db83bf] | 4601 | if(top == -1) |
---|
[410ea0f] | 4602 | return 0; |
---|
[db83bf] | 4603 | if(pLmCmp (key->p, a[top].p) == 1) |
---|
[410ea0f] | 4604 | return top + 1; |
---|
| 4605 | int i; |
---|
| 4606 | loop |
---|
| 4607 | { |
---|
[db83bf] | 4608 | if(an >= en - 1) |
---|
[08cd81] | 4609 | { |
---|
[db83bf] | 4610 | if(pLmCmp (key->p, a[an].p) == -1) |
---|
| 4611 | return an; |
---|
[410ea0f] | 4612 | return en; |
---|
[08cd81] | 4613 | } |
---|
[410ea0f] | 4614 | i = (an + en) / 2; |
---|
[db83bf] | 4615 | if(pLmCmp (key->p, a[i].p) == -1) |
---|
[410ea0f] | 4616 | en = i; |
---|
| 4617 | else |
---|
| 4618 | an = i; |
---|
| 4619 | } |
---|
[08cd81] | 4620 | } |
---|
[2fc974] | 4621 | |
---|
[db83bf] | 4622 | static void sort_region_down (red_object * los, int l, int u, slimgb_alg * c) |
---|
[4f858ce] | 4623 | { |
---|
[410ea0f] | 4624 | int r_size = u - l + 1; |
---|
| 4625 | qsort (los + l, r_size, sizeof (red_object), red_object_better_gen); |
---|
[4f858ce] | 4626 | int i; |
---|
[410ea0f] | 4627 | int *new_indices = (int *) omalloc ((r_size) * sizeof (int)); |
---|
| 4628 | int bound = 0; |
---|
| 4629 | BOOLEAN at_end = FALSE; |
---|
[db83bf] | 4630 | for(i = l; i <= u; i++) |
---|
[2fc974] | 4631 | { |
---|
[db83bf] | 4632 | if(!(at_end)) |
---|
[2fc974] | 4633 | { |
---|
[410ea0f] | 4634 | bound = new_indices[i - l] = |
---|
[db83bf] | 4635 | bound + search_red_object_pos (los + bound, l - bound - 1, los + i); |
---|
| 4636 | if(bound == l) |
---|
| 4637 | at_end = TRUE; |
---|
[08cd81] | 4638 | } |
---|
[2fc974] | 4639 | else |
---|
| 4640 | { |
---|
[410ea0f] | 4641 | new_indices[i - l] = l; |
---|
[08cd81] | 4642 | } |
---|
| 4643 | } |
---|
[410ea0f] | 4644 | red_object *los_region = |
---|
| 4645 | (red_object *) omalloc (sizeof (red_object) * (u - l + 1)); |
---|
[db83bf] | 4646 | for(int i = 0; i < r_size; i++) |
---|
[2fc974] | 4647 | { |
---|
[410ea0f] | 4648 | new_indices[i] += i; |
---|
| 4649 | los_region[i] = los[l + i]; |
---|
| 4650 | assume ((i == 0) || (new_indices[i] > new_indices[i - 1])); |
---|
[08cd81] | 4651 | } |
---|
[4f858ce] | 4652 | |
---|
[410ea0f] | 4653 | i = r_size - 1; |
---|
| 4654 | int j = u; |
---|
| 4655 | int j2 = l - 1; |
---|
[db83bf] | 4656 | while(i >= 0) |
---|
[2fc974] | 4657 | { |
---|
[db83bf] | 4658 | if(new_indices[i] == j) |
---|
[2fc974] | 4659 | { |
---|
[410ea0f] | 4660 | los[j] = los_region[i]; |
---|
[08cd81] | 4661 | i--; |
---|
| 4662 | j--; |
---|
[2fc974] | 4663 | } |
---|
| 4664 | else |
---|
| 4665 | { |
---|
[410ea0f] | 4666 | assume (new_indices[i] < j); |
---|
| 4667 | los[j] = los[j2]; |
---|
| 4668 | assume (j2 >= 0); |
---|
[08cd81] | 4669 | j2--; |
---|
| 4670 | j--; |
---|
[4f858ce] | 4671 | } |
---|
| 4672 | } |
---|
[410ea0f] | 4673 | omfree (los_region); |
---|
| 4674 | omfree (new_indices); |
---|
[4f858ce] | 4675 | } |
---|
| 4676 | |
---|
| 4677 | //assume that los is ordered ascending by leading term, all non zero |
---|
[db83bf] | 4678 | static void multi_reduction (red_object * los, int &losl, slimgb_alg * c) |
---|
[4f858ce] | 4679 | { |
---|
[410ea0f] | 4680 | poly *delay = (poly *) omalloc (losl * sizeof (poly)); |
---|
| 4681 | int delay_s = 0; |
---|
[4f858ce] | 4682 | //initialize; |
---|
[410ea0f] | 4683 | assume (c->strat->sl >= 0); |
---|
| 4684 | assume (losl > 0); |
---|
[4f858ce] | 4685 | int i; |
---|
[410ea0f] | 4686 | wlen_type max_initial_quality = 0; |
---|
[31279e] | 4687 | |
---|
[db83bf] | 4688 | for(i = 0; i < losl; i++) |
---|
[2fc974] | 4689 | { |
---|
[410ea0f] | 4690 | los[i].sev = pGetShortExpVector (los[i].p); |
---|
[4f858ce] | 4691 | //SetShortExpVector(); |
---|
[410ea0f] | 4692 | los[i].p = kBucketGetLm (los[i].bucket); |
---|
[db83bf] | 4693 | if(los[i].initial_quality > max_initial_quality) |
---|
[410ea0f] | 4694 | max_initial_quality = los[i].initial_quality; |
---|
[44c2b1] | 4695 | // else |
---|
| 4696 | // Print("init2_qal=%lld;", los[i].initial_quality); |
---|
| 4697 | // Print("initial_quality=%lld;",max_initial_quality); |
---|
[4f858ce] | 4698 | } |
---|
| 4699 | |
---|
[410ea0f] | 4700 | int curr_pos = losl - 1; |
---|
[4f858ce] | 4701 | |
---|
[5a9e7b] | 4702 | // nicht reduzierbare eintrï¿œe in ergebnisliste schreiben |
---|
[4f858ce] | 4703 | // nullen loeschen |
---|
[db83bf] | 4704 | while(curr_pos >= 0) |
---|
[2fc974] | 4705 | { |
---|
[db83bf] | 4706 | if((c->use_noro_last_block) |
---|
| 4707 | && (lies_in_last_dp_block (los[curr_pos].p, c))) |
---|
[2fc974] | 4708 | { |
---|
[410ea0f] | 4709 | int pn_noro = curr_pos + 1; |
---|
| 4710 | poly *p_noro = (poly *) omalloc (pn_noro * sizeof (poly)); |
---|
[db83bf] | 4711 | for(i = 0; i < pn_noro; i++) |
---|
[410ea0f] | 4712 | { |
---|
[db83bf] | 4713 | int dummy_len; |
---|
| 4714 | poly p; |
---|
| 4715 | los[i].p = NULL; |
---|
| 4716 | kBucketClear (los[i].bucket, &p, &dummy_len); |
---|
| 4717 | p_noro[i] = p; |
---|
[410ea0f] | 4718 | } |
---|
[db83bf] | 4719 | if(npPrimeM < 255) |
---|
[410ea0f] | 4720 | { |
---|
[db83bf] | 4721 | noro_step < tgb_uint8 > (p_noro, pn_noro, c); |
---|
[410ea0f] | 4722 | } |
---|
| 4723 | else |
---|
| 4724 | { |
---|
[db83bf] | 4725 | if(npPrimeM < 65000) |
---|
| 4726 | { |
---|
| 4727 | noro_step < tgb_uint16 > (p_noro, pn_noro, c); |
---|
| 4728 | } |
---|
| 4729 | else |
---|
| 4730 | { |
---|
| 4731 | noro_step < tgb_uint32 > (p_noro, pn_noro, c); |
---|
| 4732 | } |
---|
[410ea0f] | 4733 | } |
---|
[db83bf] | 4734 | for(i = 0; i < pn_noro; i++) |
---|
[410ea0f] | 4735 | { |
---|
[db83bf] | 4736 | los[i].p = p_noro[i]; |
---|
| 4737 | los[i].sev = pGetShortExpVector (los[i].p); |
---|
| 4738 | //ignore quality |
---|
| 4739 | kBucketInit (los[i].bucket, los[i].p, pLength (los[i].p)); |
---|
[410ea0f] | 4740 | } |
---|
| 4741 | qsort (los, pn_noro, sizeof (red_object), red_object_better_gen); |
---|
| 4742 | int deleted = |
---|
[db83bf] | 4743 | multi_reduction_clear_zeroes (los, losl, pn_noro, curr_pos); |
---|
[410ea0f] | 4744 | losl -= deleted; |
---|
| 4745 | curr_pos -= deleted; |
---|
| 4746 | break; |
---|
[f2b5839] | 4747 | } |
---|
[4f858ce] | 4748 | find_erg erg; |
---|
[6a2e9c] | 4749 | |
---|
[db83bf] | 4750 | multi_reduction_find (los, losl, c, curr_pos, erg); //last argument should be curr_pos |
---|
| 4751 | if(erg.reduce_by < 0) |
---|
[410ea0f] | 4752 | break; |
---|
[4f858ce] | 4753 | |
---|
[410ea0f] | 4754 | erg.expand = NULL; |
---|
[31279e] | 4755 | |
---|
[410ea0f] | 4756 | multi_reduction_lls_trick (los, losl, c, erg); |
---|
[31279e] | 4757 | |
---|
[4f858ce] | 4758 | int i; |
---|
| 4759 | // wrp(los[erg.to_reduce_u].p); |
---|
[a610ee] | 4760 | //PrintLn(); |
---|
[410ea0f] | 4761 | multi_reduce_step (erg, los, c); |
---|
[31279e] | 4762 | |
---|
[e4e1c2a] | 4763 | |
---|
[db83bf] | 4764 | if(!TEST_OPT_REDTHROUGH) |
---|
[228b631] | 4765 | { |
---|
[db83bf] | 4766 | for(i = erg.to_reduce_l; i <= erg.to_reduce_u; i++) |
---|
[410ea0f] | 4767 | { |
---|
[db83bf] | 4768 | if(los[i].p != NULL) //the check (los[i].p!=NULL) might be invalid |
---|
| 4769 | { |
---|
| 4770 | // |
---|
| 4771 | assume (los[i].initial_quality > 0); |
---|
| 4772 | if(los[i].guess_quality (c) |
---|
| 4773 | > 1.5 * delay_factor * max_initial_quality) |
---|
| 4774 | { |
---|
| 4775 | if(TEST_OPT_PROT) |
---|
| 4776 | PrintS ("v"); |
---|
| 4777 | los[i].canonicalize (); |
---|
| 4778 | if(los[i].guess_quality (c) > delay_factor * max_initial_quality) |
---|
| 4779 | { |
---|
| 4780 | if(TEST_OPT_PROT) |
---|
| 4781 | PrintS ("."); |
---|
| 4782 | los[i].clear_to_poly (); |
---|
| 4783 | //delay.push_back(los[i].p); |
---|
| 4784 | delay[delay_s] = los[i].p; |
---|
| 4785 | delay_s++; |
---|
| 4786 | los[i].p = NULL; |
---|
| 4787 | } |
---|
| 4788 | } |
---|
| 4789 | } |
---|
[410ea0f] | 4790 | } |
---|
| 4791 | } |
---|
[db83bf] | 4792 | int deleted = multi_reduction_clear_zeroes (los, losl, erg.to_reduce_l, |
---|
| 4793 | erg.to_reduce_u); |
---|
| 4794 | if(erg.fromS == FALSE) |
---|
[410ea0f] | 4795 | curr_pos = si_max (erg.to_reduce_u, erg.reduce_by); |
---|
[4f858ce] | 4796 | else |
---|
[410ea0f] | 4797 | curr_pos = erg.to_reduce_u; |
---|
[4f858ce] | 4798 | losl -= deleted; |
---|
| 4799 | curr_pos -= deleted; |
---|
| 4800 | |
---|
| 4801 | //Print("deleted %i \n",deleted); |
---|
[db83bf] | 4802 | if((TEST_V_UPTORADICAL) && (!(erg.fromS))) |
---|
[410ea0f] | 4803 | sort_region_down (los, si_min (erg.to_reduce_l, erg.reduce_by), |
---|
[db83bf] | 4804 | (si_max (erg.to_reduce_u, erg.reduce_by)) - deleted, |
---|
| 4805 | c); |
---|
[31279e] | 4806 | else |
---|
[410ea0f] | 4807 | sort_region_down (los, erg.to_reduce_l, erg.to_reduce_u - deleted, c); |
---|
[03f3269] | 4808 | |
---|
[db83bf] | 4809 | if(erg.expand) |
---|
[4f858ce] | 4810 | { |
---|
| 4811 | #ifdef FIND_DETERMINISTIC |
---|
| 4812 | int i; |
---|
[db83bf] | 4813 | for(i = 0; c->expandS[i]; i++) ; |
---|
[410ea0f] | 4814 | c->expandS = (poly *) omrealloc (c->expandS, (i + 2) * sizeof (poly)); |
---|
| 4815 | c->expandS[i] = erg.expand; |
---|
| 4816 | c->expandS[i + 1] = NULL; |
---|
[4f858ce] | 4817 | #else |
---|
[410ea0f] | 4818 | int ecart = 0; |
---|
[db83bf] | 4819 | if(c->eliminationProblem) |
---|
[2fc974] | 4820 | { |
---|
[db83bf] | 4821 | ecart = |
---|
| 4822 | c->pTotaldegree_full (erg.expand) - c->pTotaldegree (erg.expand); |
---|
[321283] | 4823 | } |
---|
[410ea0f] | 4824 | add_to_reductors (c, erg.expand, erg.expand_length, ecart); |
---|
[4f858ce] | 4825 | #endif |
---|
| 4826 | } |
---|
| 4827 | } |
---|
[31279e] | 4828 | |
---|
[6e08ad] | 4829 | //sorted_pair_node** pairs=(sorted_pair_node**) |
---|
| 4830 | // omalloc(delay_s*sizeof(sorted_pair_node*)); |
---|
[410ea0f] | 4831 | c->introduceDelayedPairs (delay, delay_s); |
---|
[6e08ad] | 4832 | /* |
---|
[410ea0f] | 4833 | for(i=0;i<delay_s;i++) |
---|
| 4834 | { |
---|
| 4835 | poly p=delay[i]; |
---|
| 4836 | //if (rPar(c->r)==0) |
---|
| 4837 | simplify_poly(p,c->r); |
---|
| 4838 | sorted_pair_node* si=(sorted_pair_node*) omalloc(sizeof(sorted_pair_node)); |
---|
| 4839 | si->i=-1; |
---|
| 4840 | si->j=-1; |
---|
| 4841 | if (!rField_is_Zp(c->r)) |
---|
| 4842 | { |
---|
| 4843 | if (!c->nc) |
---|
| 4844 | p=redTailShort(p, c->strat); |
---|
| 4845 | p_Cleardenom(p, c->r); |
---|
| 4846 | p_Content(p, c->r); |
---|
| 4847 | } |
---|
| 4848 | si->expected_length=pQuality(p,c,pLength(p)); |
---|
| 4849 | si->deg=pTotaldegree(p); |
---|
| 4850 | si->lcm_of_lm=p; |
---|
| 4851 | pairs[i]=si; |
---|
| 4852 | } |
---|
| 4853 | qsort(pairs,delay_s,sizeof(sorted_pair_node*),tgb_pair_better_gen2); |
---|
| 4854 | c->apairs=spn_merge(c->apairs,c->pair_top+1,pairs,delay_s,c); |
---|
| 4855 | c->pair_top+=delay_s; */ |
---|
| 4856 | omfree (delay); |
---|
[6e08ad] | 4857 | //omfree(pairs); |
---|
[4f858ce] | 4858 | return; |
---|
| 4859 | } |
---|
[2fc974] | 4860 | |
---|
[db83bf] | 4861 | void red_object::flatten () |
---|
[2fc974] | 4862 | { |
---|
[410ea0f] | 4863 | assume (p == kBucketGetLm (bucket)); |
---|
[4f858ce] | 4864 | } |
---|
[2fc974] | 4865 | |
---|
[db83bf] | 4866 | void red_object::validate () |
---|
[2fc974] | 4867 | { |
---|
[410ea0f] | 4868 | p = kBucketGetLm (bucket); |
---|
[db83bf] | 4869 | if(p) |
---|
[410ea0f] | 4870 | sev = pGetShortExpVector (p); |
---|
[4f858ce] | 4871 | } |
---|
[2fc974] | 4872 | |
---|
[db83bf] | 4873 | int red_object::clear_to_poly () |
---|
[2fc974] | 4874 | { |
---|
[410ea0f] | 4875 | flatten (); |
---|
[4f858ce] | 4876 | int l; |
---|
[410ea0f] | 4877 | kBucketClear (bucket, &p, &l); |
---|
[4f858ce] | 4878 | return l; |
---|
| 4879 | } |
---|
| 4880 | |
---|
[db83bf] | 4881 | void reduction_step::reduce (red_object * r, int l, int u) |
---|
[410ea0f] | 4882 | { |
---|
| 4883 | } |
---|
[2fc974] | 4884 | |
---|
[db83bf] | 4885 | void simple_reducer::do_reduce (red_object & ro) |
---|
[1daae71] | 4886 | { |
---|
[d491e3] | 4887 | number coef; |
---|
[1daae71] | 4888 | #ifdef HAVE_PLURAL |
---|
[db83bf] | 4889 | if(c->nc) |
---|
[410ea0f] | 4890 | nc_BucketPolyRed_Z (ro.bucket, p, &coef); |
---|
[1daae71] | 4891 | else |
---|
| 4892 | #endif |
---|
[410ea0f] | 4893 | coef = kBucketPolyRed (ro.bucket, p, p_len, c->strat->kNoether); |
---|
| 4894 | nDelete (&coef); |
---|
[4f858ce] | 4895 | } |
---|
| 4896 | |
---|
[db83bf] | 4897 | void simple_reducer::reduce (red_object * r, int l, int u) |
---|
[2fc974] | 4898 | { |
---|
[410ea0f] | 4899 | this->pre_reduce (r, l, u); |
---|
[4f858ce] | 4900 | int i; |
---|
| 4901 | //debug start |
---|
[5a9e7b] | 4902 | |
---|
[db83bf] | 4903 | if(c->eliminationProblem) |
---|
[2fc974] | 4904 | { |
---|
[410ea0f] | 4905 | assume (p_LmEqual (r[l].p, r[u].p, c->r)); |
---|
[321283] | 4906 | /*int lm_deg=pTotaldegree(r[l].p); |
---|
[410ea0f] | 4907 | reducer_deg=lm_deg+pTotaldegree_full(p)-pTotaldegree(p); */ |
---|
[d64382] | 4908 | } |
---|
[4f858ce] | 4909 | |
---|
[db83bf] | 4910 | for(i = l; i <= u; i++) |
---|
[2fc974] | 4911 | { |
---|
[410ea0f] | 4912 | this->do_reduce (r[i]); |
---|
[db83bf] | 4913 | if(c->eliminationProblem) |
---|
[2fc974] | 4914 | { |
---|
[410ea0f] | 4915 | r[i].sugar = si_max (r[i].sugar, reducer_deg); |
---|
[d64382] | 4916 | } |
---|
[4f858ce] | 4917 | } |
---|
[db83bf] | 4918 | for(i = l; i <= u; i++) |
---|
[2fc974] | 4919 | { |
---|
[410ea0f] | 4920 | kBucketSimpleContent (r[i].bucket); |
---|
| 4921 | r[i].validate (); |
---|
| 4922 | #ifdef TGB_DEBUG |
---|
| 4923 | #endif |
---|
[bddc9d] | 4924 | } |
---|
[4f858ce] | 4925 | } |
---|
[2fc974] | 4926 | |
---|
[410ea0f] | 4927 | reduction_step::~reduction_step () |
---|
| 4928 | { |
---|
| 4929 | } |
---|
[2fc974] | 4930 | |
---|
[410ea0f] | 4931 | simple_reducer::~simple_reducer () |
---|
[2fc974] | 4932 | { |
---|
[db83bf] | 4933 | if(fill_back != NULL) |
---|
[4f858ce] | 4934 | { |
---|
[410ea0f] | 4935 | kBucketInit (fill_back, p, p_len); |
---|
[4f858ce] | 4936 | } |
---|
[410ea0f] | 4937 | fill_back = NULL; |
---|
[4f858ce] | 4938 | } |
---|
[31279e] | 4939 | |
---|
[db83bf] | 4940 | void multi_reduce_step (find_erg & erg, red_object * r, slimgb_alg * c) |
---|
[2fc974] | 4941 | { |
---|
[410ea0f] | 4942 | static int id = 0; |
---|
[4f858ce] | 4943 | id++; |
---|
[03f3269] | 4944 | unsigned long sev; |
---|
[410ea0f] | 4945 | BOOLEAN lt_changed = FALSE; |
---|
| 4946 | int rn = erg.reduce_by; |
---|
[4f858ce] | 4947 | poly red; |
---|
| 4948 | int red_len; |
---|
[410ea0f] | 4949 | simple_reducer *pointer; |
---|
| 4950 | BOOLEAN work_on_copy = FALSE; |
---|
[db83bf] | 4951 | if(erg.fromS) |
---|
[2fc974] | 4952 | { |
---|
[410ea0f] | 4953 | red = c->strat->S[rn]; |
---|
| 4954 | red_len = c->strat->lenS[rn]; |
---|
| 4955 | assume (red_len == pLength (red)); |
---|
[4f858ce] | 4956 | } |
---|
| 4957 | else |
---|
| 4958 | { |
---|
[410ea0f] | 4959 | r[rn].flatten (); |
---|
| 4960 | kBucketClear (r[rn].bucket, &red, &red_len); |
---|
[31279e] | 4961 | |
---|
[db83bf] | 4962 | if(!rField_is_Zp (c->r)) |
---|
[4f858ce] | 4963 | { |
---|
[db83bf] | 4964 | p_Cleardenom (red, c->r); //should be unnecessary |
---|
[a0d9be] | 4965 | //p_Content(red, c->r); |
---|
[4f858ce] | 4966 | } |
---|
[410ea0f] | 4967 | pNormalize (red); |
---|
[db83bf] | 4968 | if(c->eliminationProblem) |
---|
[a0d9be] | 4969 | { |
---|
[410ea0f] | 4970 | r[rn].sugar = c->pTotaldegree_full (red); |
---|
[d64382] | 4971 | } |
---|
[03f3269] | 4972 | |
---|
[db83bf] | 4973 | if((!(erg.fromS)) && (TEST_V_UPTORADICAL)) |
---|
[a0d9be] | 4974 | { |
---|
[db83bf] | 4975 | if(polynomial_root (red, c->r)) |
---|
| 4976 | lt_changed = TRUE; |
---|
[410ea0f] | 4977 | sev = p_GetShortExpVector (red, c->r); |
---|
[a0d9be] | 4978 | } |
---|
[410ea0f] | 4979 | red_len = pLength (red); |
---|
[4f858ce] | 4980 | } |
---|
[db83bf] | 4981 | if(((TEST_V_MODPSOLVSB) && (red_len > 1)) |
---|
| 4982 | || ((c->nc) || (erg.to_reduce_u - erg.to_reduce_l > 5))) |
---|
[2fc974] | 4983 | { |
---|
[410ea0f] | 4984 | work_on_copy = TRUE; |
---|
[4f858ce] | 4985 | // poly m=pOne(); |
---|
[410ea0f] | 4986 | poly m = c->tmp_lm; |
---|
| 4987 | pSetCoeff (m, nInit (1)); |
---|
| 4988 | pSetComp (m, 0); |
---|
[1f637e] | 4989 | for(int i = 1; i <= (currRing->N); i++) |
---|
[410ea0f] | 4990 | pSetExp (m, i, (pGetExp (r[erg.to_reduce_l].p, i) - pGetExp (red, i))); |
---|
| 4991 | pSetm (m); |
---|
[d491e3] | 4992 | poly red_cp; |
---|
[410ea0f] | 4993 | #ifdef HAVE_PLURAL |
---|
[db83bf] | 4994 | if(c->nc) |
---|
[410ea0f] | 4995 | red_cp = nc_mm_Mult_pp (m, red, c->r); |
---|
[d491e3] | 4996 | else |
---|
[410ea0f] | 4997 | #endif |
---|
| 4998 | red_cp = ppMult_mm (red, m); |
---|
[db83bf] | 4999 | if(!erg.fromS) |
---|
[2fc974] | 5000 | { |
---|
[410ea0f] | 5001 | kBucketInit (r[rn].bucket, red, red_len); |
---|
[4f858ce] | 5002 | } |
---|
| 5003 | //now reduce the copy |
---|
[9cbb7a3] | 5004 | //static poly redNF2 (poly h,slimgb_alg* c , int &len, number& m,int n) |
---|
[03f3269] | 5005 | |
---|
[db83bf] | 5006 | if(!c->nc) |
---|
[410ea0f] | 5007 | redTailShort (red_cp, c->strat); |
---|
[4f858ce] | 5008 | //number mul; |
---|
| 5009 | // red_len--; |
---|
| 5010 | // red_cp->next=redNF2(red_cp->next,c,red_len,mul,c->average_length); |
---|
| 5011 | // pSetCoeff(red_cp,nMult(red_cp->coef,mul)); |
---|
| 5012 | // nDelete(&mul); |
---|
| 5013 | // red_len++; |
---|
[410ea0f] | 5014 | red = red_cp; |
---|
| 5015 | red_len = pLength (red); |
---|
[4f858ce] | 5016 | // pDelete(&m); |
---|
| 5017 | } |
---|
| 5018 | |
---|
[410ea0f] | 5019 | assume (red_len == pLength (red)); |
---|
[5a9e7b] | 5020 | |
---|
[410ea0f] | 5021 | int reducer_deg = 0; |
---|
[db83bf] | 5022 | if(c->eliminationProblem) |
---|
[2fc974] | 5023 | { |
---|
[410ea0f] | 5024 | int lm_deg = c->pTotaldegree (r[erg.to_reduce_l].p); |
---|
| 5025 | int ecart; |
---|
[db83bf] | 5026 | if(erg.fromS) |
---|
[410ea0f] | 5027 | { |
---|
| 5028 | ecart = c->strat->ecartS[erg.reduce_by]; |
---|
| 5029 | } |
---|
| 5030 | else |
---|
| 5031 | { |
---|
| 5032 | ecart = c->pTotaldegree_full (red) - lm_deg; |
---|
| 5033 | } |
---|
| 5034 | reducer_deg = lm_deg + ecart; |
---|
[321283] | 5035 | } |
---|
[410ea0f] | 5036 | pointer = new simple_reducer (red, red_len, reducer_deg, c); |
---|
[4f858ce] | 5037 | |
---|
[db83bf] | 5038 | if((!work_on_copy) && (!erg.fromS)) |
---|
[410ea0f] | 5039 | pointer->fill_back = r[rn].bucket; |
---|
[4f858ce] | 5040 | else |
---|
[410ea0f] | 5041 | pointer->fill_back = NULL; |
---|
| 5042 | pointer->reduction_id = id; |
---|
| 5043 | pointer->c = c; |
---|
[4f858ce] | 5044 | |
---|
[410ea0f] | 5045 | pointer->reduce (r, erg.to_reduce_l, erg.to_reduce_u); |
---|
[db83bf] | 5046 | if(work_on_copy) |
---|
[410ea0f] | 5047 | pDelete (&pointer->p); |
---|
[4f858ce] | 5048 | delete pointer; |
---|
[db83bf] | 5049 | if(lt_changed) |
---|
[2fc974] | 5050 | { |
---|
[410ea0f] | 5051 | assume (!erg.fromS); |
---|
| 5052 | r[erg.reduce_by].sev = sev; |
---|
[03f3269] | 5053 | } |
---|
[2fc974] | 5054 | } |
---|
[31279e] | 5055 | |
---|
[db83bf] | 5056 | void simple_reducer::pre_reduce (red_object * r, int l, int u) |
---|
[410ea0f] | 5057 | { |
---|
| 5058 | } |
---|