| 1 | #ifndef KUTIL_H |
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| 2 | #define KUTIL_H |
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| 3 | /**************************************** |
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| 4 | * Computer Algebra System SINGULAR * |
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| 5 | ****************************************/ |
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| 6 | /* $Id: kutil.h,v 1.16 1999-09-29 10:59:32 obachman Exp $ */ |
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| 7 | /* |
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| 8 | * ABSTRACT: kernel: utils for kStd |
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| 9 | */ |
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| 10 | #include "mod2.h" |
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| 11 | #include "structs.h" |
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| 12 | #include "mmemory.h" |
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| 13 | #include "ring.h" |
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| 14 | #include <string.h> |
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| 15 | |
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| 16 | #define setmax 16 |
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| 17 | |
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| 18 | // define to enable divisiblity tests bawsed on short exponent vectors |
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| 19 | // #define HAVE_SHORT_EVECTORS |
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| 20 | // define to enable debugging of this business (needs PDEBUG, as well) |
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| 21 | // #define DEBUG_SHORT_EVECTORS |
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| 22 | |
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| 23 | typedef int* intset; |
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| 24 | |
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| 25 | class sTObject |
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| 26 | { |
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| 27 | public: |
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| 28 | poly p; |
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| 29 | int ecart,length, pLength; |
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| 30 | memHeap heap; |
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| 31 | #ifdef HAVE_SHORT_EVECTORS |
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| 32 | unsigned long sev; |
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| 33 | #endif |
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| 34 | sTObject() { memset((void*) this, 0, sizeof(sTObject));} |
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| 35 | }; |
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| 36 | |
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| 37 | class sLObject |
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| 38 | { |
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| 39 | public: |
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| 40 | poly p; |
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| 41 | poly p1,p2; /*- the pair p comes from -*/ |
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| 42 | poly lcm; /*- the lcm of p1,p2 -*/ |
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| 43 | int ecart,length, pLength; |
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| 44 | memHeap heap; |
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| 45 | sLObject() { memset((void*) this, 0, sizeof(sLObject));} |
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| 46 | }; |
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| 47 | |
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| 48 | typedef class sTObject TObject; |
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| 49 | typedef class sLObject LObject; |
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| 50 | typedef TObject * TSet; |
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| 51 | typedef LObject * LSet; |
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| 52 | |
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| 53 | extern int HCord; |
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| 54 | |
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| 55 | class skStrategy; |
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| 56 | typedef skStrategy * kStrategy; |
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| 57 | class skStrategy |
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| 58 | { |
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| 59 | public: |
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| 60 | kStrategy next; |
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| 61 | void (*red)(LObject * L,kStrategy strat); |
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| 62 | void (*initEcart)(LObject * L); |
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| 63 | int (*posInT)(const TSet T,const int tl,const LObject &h); |
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| 64 | int (*posInL)(const LSet set, const int length, |
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| 65 | const LObject &L,const kStrategy strat); |
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| 66 | void (*enterS)(LObject h, int pos,kStrategy strat); |
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| 67 | void (*initEcartPair)(LObject * h, poly f, poly g, int ecartF, int ecartG); |
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| 68 | int (*posInLOld)(const LSet Ls,const int Ll, |
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| 69 | const LObject &Lo,const kStrategy strat); |
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| 70 | pFDegProc pOldFDeg; |
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| 71 | ideal Shdl; |
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| 72 | ideal D; /*V(S) is in D(D)*/ |
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| 73 | ideal M; /*set of minimal generators*/ |
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| 74 | polyset S; |
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| 75 | intset ecartS; |
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| 76 | intset fromQ; |
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| 77 | TSet T; |
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| 78 | LSet L; |
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| 79 | LSet B; |
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| 80 | poly kHEdge; |
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| 81 | poly kNoether; |
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| 82 | BOOLEAN * NotUsedAxis; |
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| 83 | LObject P; |
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| 84 | poly tail; |
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| 85 | leftv kIdeal; |
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| 86 | intvec * kModW; |
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| 87 | intvec * kHomW; |
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| 88 | BOOLEAN *pairtest;/*used for enterOnePair*/ |
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| 89 | int cp,c3; |
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| 90 | int sl,mu; |
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| 91 | int tl,tmax; |
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| 92 | int Ll,Lmax; |
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| 93 | int Bl,Bmax; |
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| 94 | int ak,LazyDegree,LazyPass; |
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| 95 | int syzComp; |
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| 96 | int HCord; |
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| 97 | int lastAxis; |
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| 98 | int newIdeal; |
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| 99 | int minim; |
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| 100 | BOOLEAN interpt; |
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| 101 | BOOLEAN homog; |
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| 102 | BOOLEAN kHEdgeFound; |
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| 103 | BOOLEAN honey,sugarCrit; |
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| 104 | BOOLEAN Gebauer,noTailReduction; |
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| 105 | BOOLEAN fromT; |
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| 106 | BOOLEAN noetherSet; |
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| 107 | BOOLEAN update; |
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| 108 | BOOLEAN posInLOldFlag; |
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| 109 | /*FALSE, if posInL == posInL10*/ |
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| 110 | char redTailChange; |
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| 111 | char news; |
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| 112 | char newt;/*used for messageSets*/ |
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| 113 | }; |
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| 114 | |
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| 115 | void deleteHC(poly *p, int *e, int *l, kStrategy strat); |
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| 116 | void deleteInS (int i,kStrategy strat); |
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| 117 | void cleanT (kStrategy strat); |
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| 118 | LSet initL (); |
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| 119 | void deleteInL(LSet set, int *length, int j,kStrategy strat); |
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| 120 | void enterL (LSet *set,int *length, int *LSetmax, LObject p,int at); |
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| 121 | void initEcartPairBba (LObject* Lp,poly f,poly g,int ecartF,int ecartG); |
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| 122 | void initEcartPairMora (LObject* Lp,poly f,poly g,int ecartF,int ecartG); |
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| 123 | int posInS (polyset set,int length,poly p); |
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| 124 | int posInT0 (const TSet set,const int length,const LObject &p); |
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| 125 | int posInT1 (const TSet set,const int length,const LObject &p); |
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| 126 | int posInT2 (const TSet set,const int length,const LObject &p); |
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| 127 | int posInT11 (const TSet set,const int length,const LObject &p); |
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| 128 | int posInT13 (const TSet set,const int length,const LObject &p); |
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| 129 | int posInT15 (const TSet set,const int length,const LObject &p); |
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| 130 | int posInT17 (const TSet set,const int length,const LObject &p); |
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| 131 | int posInT19 (const TSet set,const int length,const LObject &p); |
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| 132 | void reorderS (int* suc,kStrategy strat); |
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| 133 | int posInL0 (const LSet set, const int length, |
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| 134 | const LObject &L,const kStrategy strat); |
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| 135 | int posInL11 (const LSet set, const int length, |
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| 136 | const LObject &L,const kStrategy strat); |
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| 137 | int posInL13 (const LSet set, const int length, |
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| 138 | const LObject &L,const kStrategy strat); |
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| 139 | int posInL15 (const LSet set, const int length, |
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| 140 | const LObject &L,const kStrategy strat); |
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| 141 | int posInL17 (const LSet set, const int length, |
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| 142 | const LObject &L,const kStrategy strat); |
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| 143 | poly redtailBba (poly p,int pos,kStrategy strat); |
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| 144 | poly redtailSyz (poly p,int pos,kStrategy strat); |
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| 145 | poly redtail (poly p,int pos,kStrategy strat); |
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| 146 | void enterpairs (poly h, int k, int ec, int pos,kStrategy strat); |
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| 147 | void entersets (LObject h); |
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| 148 | void pairs (); |
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| 149 | void message (int i,int* reduc,int* olddeg,kStrategy strat); |
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| 150 | void messageStat (int srmax,int lrmax,int hilbcount,kStrategy strat); |
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| 151 | void messageSets (kStrategy strat); |
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| 152 | void initEcartNormal (LObject* h); |
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| 153 | void initEcartBBA (LObject* h); |
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| 154 | void initS (ideal F, ideal Q,kStrategy strat); |
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| 155 | void initSL (ideal F, ideal Q,kStrategy strat); |
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| 156 | void updateS(BOOLEAN toT,kStrategy strat); |
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| 157 | void enterSBba (LObject p, int pos,kStrategy strat); |
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| 158 | void enterT (LObject p,kStrategy strat); |
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| 159 | void enterTBba (LObject p, int pos,kStrategy strat); |
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| 160 | void cancelunit (LObject* p); |
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| 161 | void HEckeTest (poly pp,kStrategy strat); |
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| 162 | void redtailS (poly* h,int maxIndex); |
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| 163 | void redtailMora (poly* h,int maxIndex); |
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| 164 | void initBuchMoraCrit(kStrategy strat); |
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| 165 | void initHilbCrit(ideal F, ideal Q, intvec **hilb,kStrategy strat); |
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| 166 | void initBuchMoraPos(kStrategy strat); |
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| 167 | void initBuchMora (ideal F, ideal Q,kStrategy strat); |
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| 168 | void exitBuchMora (kStrategy strat); |
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| 169 | void updateResult(ideal r,ideal Q,kStrategy strat); |
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| 170 | void completeReduce (kStrategy strat); |
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| 171 | BOOLEAN homogTest(polyset F, int Fmax); |
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| 172 | BOOLEAN newHEdge(polyset S, int ak,kStrategy strat); |
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| 173 | |
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| 174 | inline TSet initT () { return (TSet)Alloc0(setmax*sizeof(TObject)); } |
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| 175 | |
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| 176 | #ifdef KDEBUG |
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| 177 | #define kTest(A) K_Test(__FILE__,__LINE__,A) |
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| 178 | #define kTest_TS(A) K_Test(__FILE__,__LINE__,A) |
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| 179 | #define kTest_T(T) K_Test_T(__FILE__,__LINE__,T) |
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| 180 | #define kTest_L(L) K_Test_L(__FILE__,__LINE__,L) |
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| 181 | BOOLEAN K_Test(char *f, int l,kStrategy strat); |
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| 182 | BOOLEAN K_Test_TS(char *f, int l,kStrategy strat); |
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| 183 | BOOLEAN K_Test_T(char *f, int l, TObject* T, int tpos = -1); |
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| 184 | BOOLEAN K_Test_L(char* f, int l, LObject* L, |
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| 185 | BOOLEAN testp = FALSE, int lpos = -1, |
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| 186 | TSet T = NULL, int tlength = -1); |
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| 187 | #else |
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| 188 | #define kTest(A) (TRUE) |
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| 189 | #define kTest_TS(A) (TRUE) |
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| 190 | #define kTest_T(T) (TRUE) |
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| 191 | #define kTest_L(T) (TRUE) |
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| 192 | #endif |
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| 193 | #endif |
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| 194 | |
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| 195 | /*************************************************************** |
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| 196 | * |
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| 197 | * From kstd2.cc |
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| 198 | * |
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| 199 | ***************************************************************/ |
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| 200 | ideal bba (ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat); |
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| 201 | poly kNF2 (ideal F, ideal Q, poly q, kStrategy strat, int lazyReduce); |
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| 202 | ideal kNF2 (ideal F,ideal Q,ideal q, kStrategy strat, int lazyReduce); |
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| 203 | void initBba(ideal F,kStrategy strat); |
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| 204 | |
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| 205 | /*************************************************************** |
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| 206 | * |
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| 207 | * From kSpolys.cc |
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| 208 | * |
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| 209 | ***************************************************************/ |
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| 210 | // Reduces PR with PW |
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| 211 | // Assumes PR != NULL, PW != NULL, Lm(PW) divides Lm(PR) |
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| 212 | // Changes: PR |
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| 213 | // Const: PW |
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| 214 | // If coef != NULL, then *coef is a/gcd(a,b), where a = LC(PR), b = LC(PW) |
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| 215 | void ksReducePoly(LObject* PR, |
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| 216 | TObject* PW, |
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| 217 | poly spNoether = NULL, |
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| 218 | number *coef = NULL); |
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| 219 | |
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| 220 | // Reduces PR at Current->next with PW |
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| 221 | // Assumes PR != NULL, Current contained in PR |
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| 222 | // Current->next != NULL, LM(PW) devides LM(Current->next) |
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| 223 | // Changes: PR |
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| 224 | // Const: PW |
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| 225 | void ksReducePolyTail(LObject* PR, |
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| 226 | TObject* PW, |
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| 227 | poly Current, |
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| 228 | poly spNoether = NULL); |
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| 229 | |
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| 230 | // Creates S-Poly of Pair |
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| 231 | // Const: Pair->p1, Pair->p2 |
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| 232 | // Changes: Pair->p == S-Poly of p1, p2 |
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| 233 | // Assume: Pair->p1 != NULL && Pair->p2 |
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| 234 | void ksCreateSpoly(LObject* Pair, |
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| 235 | poly spNoether = NULL); |
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| 236 | |
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| 237 | |
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| 238 | /*2 |
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| 239 | * creates the leading term of the S-polynomial of p1 and p2 |
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| 240 | * do not destroy p1 and p2 |
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| 241 | * remarks: |
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| 242 | * 1. the coefficient is 0 (nNew) |
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| 243 | * 2. pNext is undefined |
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| 244 | */ |
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| 245 | poly ksCreateShortSpoly(poly p1, poly p2); |
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| 246 | |
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| 247 | |
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| 248 | /* |
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| 249 | * input - output: a, b |
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| 250 | * returns: |
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| 251 | * a := a/gcd(a,b), b := b/gcd(a,b) |
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| 252 | * and return value |
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| 253 | * 0 -> a != 1, b != 1 |
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| 254 | * 1 -> a == 1, b != 1 |
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| 255 | * 2 -> a != 1, b == 1 |
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| 256 | * 3 -> a == 1, b == 1 |
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| 257 | * this value is used to control the spolys |
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| 258 | */ |
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| 259 | int ksCheckCoeff(number *a, number *b); |
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| 260 | |
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| 261 | // old stuff |
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| 262 | poly ksOldSpolyRed(poly p1, poly p2, poly spNoether = NULL); |
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| 263 | poly ksOldSpolyRedNew(poly p1, poly p2, poly spNoether = NULL); |
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| 264 | poly ksOldCreateSpoly(poly p1, poly p2, poly spNoether = NULL); |
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| 265 | void ksOldSpolyTail(poly p1, poly q, poly q2, poly spNoether); |
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| 266 | |
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| 267 | #ifdef HAVE_SHORT_EVECTORS |
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| 268 | |
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| 269 | #define K_INIT_SHORT_EVECTOR(p) unsigned long __sev = ~ pGetShortExpVector(p); |
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| 270 | |
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| 271 | #if defined(DEBUG_SHORT_EVECTORS) && defined(PDEBUG) |
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| 272 | #define K_DIVISIBLE_BY(T, p2) \ |
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| 273 | (pDBShortDivisibleBy(T.p, T.sev, p2, __sev, __FILE__, __LINE__)) |
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| 274 | #else |
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| 275 | #define K_DIVISIBLE_BY(T, p2) \ |
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| 276 | (pShortDivisibleBy(T.p, T.sev, p2, __sev)) |
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| 277 | #endif |
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| 278 | |
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| 279 | #else |
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| 280 | #define K_INIT_SHORT_EVECTOR(p) |
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| 281 | #define K_DIVISIBLE_BY(T, p2) pDivisibleBy(T.p, p2) |
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| 282 | #endif // HAVE_SHORT_EVECTORS |
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| 283 | |
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