1 #ifndef SYZ_H 2 #define SYZ_H 3 /**************************************** 4 * Computer Algebra System SINGULAR * 5 ****************************************/ 6 /* 7 * ABSTRACT: Resolutions 8 */ 9 #include "misc/mylimits.h" 10 #include "kernel/structs.h" 11 #include "polys/monomials/ring.h" 12 #include "kernel/ideals.h" 13 14 // Logarithm of estimate of maximal number of new components 15 #define SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE 8 16 // Logarithm of "distance" between a new component and prev component 17 #define SYZ_SHIFT_BASE_LOG (BIT_SIZEOF_LONG - 1 - SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE) 18 #define SYZ_SHIFT_BASE (1L << SYZ_SHIFT_BASE_LOG) 19 struct sSObject{ 20 poly p; 21 poly p1,p2; /*- the pair p comes from -*/ 22 poly lcm; /*- the lcm of p1,p2 -*/ 23 poly syz; /*- the syzygy associated to p1,p2 -*/ 24 int ind1,ind2; /*- the indeces of p1,p2 -*/ 25 poly isNotMinimal; 26 int syzind; 27 int order; 28 int length; 29 int reference; 30 }; 31 typedef struct sSObject SObject; 32 typedef SObject * SSet; 33 typedef SSet * SRes; 34 35 class ssyStrategy; 36 typedef ssyStrategy * syStrategy; 37 class ssyStrategy{ 38 public: 39 int ** truecomponents; 40 long** ShiftedComponents; 41 int ** backcomponents; 42 int ** Howmuch; 43 int ** Firstelem; 44 int ** elemLength; 45 intvec ** weights; 46 intvec ** hilb_coeffs; 47 resolvente res; //polynomial data for internal use only 48 resolvente orderedRes; //polynomial data for internal use only 49 SRes resPairs; //polynomial data for internal use only 50 intvec * Tl; 51 intvec * resolution; 52 intvec * cw; 53 intvec * betti; 54 kBucket_pt bucket; 55 kBucket_pt syz_bucket; 56 ring syRing; 57 resolvente fullres; 58 resolvente minres; 59 unsigned long ** sev; 60 int length; 61 int regularity; 62 short list_length; 63 short references; 64 }; 65 66 void sySchreyersSyzygiesM(polyset F,int Fmax,polyset* Shdl,int* Smax, 67 BOOLEAN noSort); 68 69 void sySchreyersSyzygiesB(polyset F,int Fmax,polyset* Shdl,int* Smax, 70 BOOLEAN noSort); 71 72 resolvente sySchreyerResolvente(ideal arg, int maxlength, int * length, 73 BOOLEAN isMonomial=FALSE, BOOLEAN notReplace=FALSE); 74 75 syStrategy sySchreyer(ideal arg, int maxlength); 76 77 resolvente syResolvente(ideal arg, int maxlength, int * length, 78 intvec *** weights, BOOLEAN minim); 79 80 syStrategy syResolution(ideal arg, int maxlength,intvec * w, BOOLEAN minim); 81 82 void syMinimizeResolvente(resolvente res, int length, int first); 83 84 intvec * syBetti(resolvente res,int length, int * regularity, 85 intvec* weights=NULL,BOOLEAN tomin=TRUE, int * row_shift=NULL); 86 87 ideal syMinBase(ideal arg); 88 89 BOOLEAN syTestOrder(ideal i); 90 91 void syReOrderResolventFB(resolvente res,int length, int initial=1); 92 93 resolvente syLaScala1(ideal arg,int * length); 94 syStrategy syLaScala3(ideal arg,int * length); 95 96 syStrategy syLaScala(ideal arg, int& maxlength, intvec* weights = NULL); 97 98 syStrategy syHilb(ideal arg,int * length); 99 syStrategy syKosz(ideal arg,int * length); 100 101 // use_cache and use_tensor_trick are needed in PrymGreen.jl; do not delete! 102 syStrategy syFrank(const ideal arg, const int length, const char *method, 103 const bool use_cache = true, const bool use_tensor_trick = false); 104 105 void syKillComputation(syStrategy syzstr, ring r=currRing); 106 intvec * syBettiOfComputation(syStrategy syzstr, BOOLEAN minim=TRUE,int * row_shift=NULL, intvec *weights=NULL); 107 108 109 int sySize(syStrategy syzstr); 110 int syDim(syStrategy syzstr); 111 syStrategy syCopy(syStrategy syzstr); 112 void syPrint(syStrategy syzstr, const char *currRingName /* = currRingHdl->id */); 113 114 syStrategy syMinimize(syStrategy syzstr); 115 void syKillEmptyEntres(resolvente res,int length); 116 117 EXTERN_VAR int * currcomponents; 118 EXTERN_VAR long * currShiftedComponents; 119 120 void syDeletePair(SObject * so); 121 void syInitializePair(SObject * so); 122 void syCopyPair(SObject * argso, SObject * imso); 123 void syCompactifyPairSet(SSet sPairs, int sPlength, int first); 124 void syCompactify1(SSet sPairs, int* sPlength, int first); 125 SRes syInitRes(ideal arg,int * length, intvec * Tl, intvec * cw=NULL); 126 void syResetShiftedComponents(syStrategy syzstr, int index,int hilb=0); 127 void syEnlargeFields(syStrategy syzstr,int index); 128 void syEnterPair(syStrategy syzstr, SObject * so, int * sPlength,int index); 129 SSet syChosePairs(syStrategy syzstr, int *index, int *howmuch, int * actdeg); 130 int syInitSyzMod(syStrategy syzstr, int index, int init=17); 131 long syReorderShiftedComponents(long * sc, int n); 132 void syGaussForOne(ideal arg,int gen,int ModComp,int from=-1,int till=0); 133 void syEnterPair(SSet sPairs, SObject * so, int * sPlength,int index); 134 void syEnterPair(syStrategy syzstr, SObject * so, int * sPlength,int index); 135 syStrategy syKosz(ideal arg,int * length); 136 137 resolvente syReorder(resolvente res,int length, 138 syStrategy syzstr,BOOLEAN toCopy=TRUE,resolvente totake=NULL); 139 resolvente syReorder(resolvente res,int length, 140 syStrategy syzstr,BOOLEAN toCopy/*=TRUE*/,resolvente totake/*=NULL*/); 141 142 #endif 143