[35aab3] | 1 | #ifndef SYZ_H |
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| 2 | #define SYZ_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 | /* |
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| 7 | * ABSTRACT: Resolutions |
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| 8 | */ |
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[05f61f] | 9 | #include <misc/mylimits.h> |
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[599326] | 10 | #include <kernel/structs.h> |
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[210e07] | 11 | #include <polys/monomials/ring.h> |
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[599326] | 12 | #include <kernel/ideals.h> |
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[35aab3] | 13 | |
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| 14 | // Logarithm of estimate of maximal number of new components |
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| 15 | #define SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE 8 |
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| 16 | // Logarithm of "distance" between a new component and prev component |
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| 17 | #define SYZ_SHIFT_BASE_LOG (BIT_SIZEOF_LONG - 1 - SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE) |
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| 18 | #define SYZ_SHIFT_BASE (((long)1) << SYZ_SHIFT_BASE_LOG) |
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| 19 | struct sSObject{ |
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| 20 | poly p; |
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| 21 | poly p1,p2; /*- the pair p comes from -*/ |
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| 22 | poly lcm; /*- the lcm of p1,p2 -*/ |
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| 23 | poly syz; /*- the syzygy associated to p1,p2 -*/ |
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| 24 | int ind1,ind2; /*- the indeces of p1,p2 -*/ |
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| 25 | poly isNotMinimal; |
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| 26 | int syzind; |
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| 27 | int order; |
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| 28 | int length; |
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| 29 | int reference; |
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| 30 | }; |
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| 31 | typedef struct sSObject SObject; |
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| 32 | typedef SObject * SSet; |
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| 33 | typedef SSet * SRes; |
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| 34 | |
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| 35 | class ssyStrategy; |
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| 36 | typedef ssyStrategy * syStrategy; |
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| 37 | class ssyStrategy{ |
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| 38 | public: |
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| 39 | int ** truecomponents; |
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| 40 | long** ShiftedComponents; |
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| 41 | int ** backcomponents; |
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| 42 | int ** Howmuch; |
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| 43 | int ** Firstelem; |
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| 44 | int ** elemLength; |
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| 45 | intvec ** weights; |
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| 46 | intvec ** hilb_coeffs; |
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| 47 | resolvente res; //polynomial data for internal use only |
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| 48 | resolvente orderedRes; //polynomial data for internal use only |
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| 49 | SRes resPairs; //polynomial data for internal use only |
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| 50 | intvec * Tl; |
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| 51 | intvec * resolution; |
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| 52 | intvec * cw; |
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| 53 | intvec * betti; |
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| 54 | kBucket_pt bucket; |
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| 55 | kBucket_pt syz_bucket; |
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| 56 | ring syRing; |
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| 57 | resolvente fullres; |
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| 58 | resolvente minres; |
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| 59 | unsigned long ** sev; |
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| 60 | int length; |
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| 61 | int regularity; |
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| 62 | short list_length; |
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| 63 | short references; |
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| 64 | }; |
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| 65 | |
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| 66 | void sySchreyersSyzygiesM(polyset F,int Fmax,polyset* Shdl,int* Smax, |
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| 67 | BOOLEAN noSort); |
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| 68 | |
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| 69 | void sySchreyersSyzygiesB(polyset F,int Fmax,polyset* Shdl,int* Smax, |
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| 70 | BOOLEAN noSort); |
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| 71 | |
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| 72 | resolvente sySchreyerResolvente(ideal arg, int maxlength, int * length, |
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| 73 | BOOLEAN isMonomial=FALSE, BOOLEAN notReplace=FALSE); |
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| 74 | |
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| 75 | syStrategy sySchreyer(ideal arg, int maxlength); |
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| 76 | |
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| 77 | resolvente syResolvente(ideal arg, int maxlength, int * length, |
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| 78 | intvec *** weights, BOOLEAN minim); |
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| 79 | |
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| 80 | syStrategy syResolution(ideal arg, int maxlength,intvec * w, BOOLEAN minim); |
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| 81 | |
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| 82 | void syMinimizeResolvente(resolvente res, int length, int first); |
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| 83 | |
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| 84 | intvec * syBetti(resolvente res,int length, int * regularity, |
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| 85 | intvec* weights=NULL,BOOLEAN tomin=TRUE, int * row_shift=NULL); |
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| 86 | |
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| 87 | ideal syMinBase(ideal arg); |
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| 88 | |
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| 89 | BOOLEAN syTestOrder(ideal i); |
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| 90 | |
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| 91 | void syReOrderResolventFB(resolvente res,int length, int initial=1); |
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| 92 | |
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| 93 | resolvente syLaScala1(ideal arg,int * length); |
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| 94 | syStrategy syLaScala3(ideal arg,int * length); |
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[50d54f8] | 95 | |
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| 96 | syStrategy syLaScala(ideal arg, int& maxlength, intvec* weights = NULL); |
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| 97 | |
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[35aab3] | 98 | syStrategy syHilb(ideal arg,int * length); |
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| 99 | syStrategy syKosz(ideal arg,int * length); |
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| 100 | |
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| 101 | void syKillComputation(syStrategy syzstr, ring r=currRing); |
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[30b8381] | 102 | intvec * syBettiOfComputation(syStrategy syzstr, BOOLEAN minim=TRUE,int * row_shift=NULL, intvec *weights=NULL); |
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[ae3ad6] | 103 | |
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| 104 | |
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[35aab3] | 105 | int sySize(syStrategy syzstr); |
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| 106 | int syDim(syStrategy syzstr); |
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| 107 | syStrategy syCopy(syStrategy syzstr); |
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[36dd34] | 108 | void syPrint(syStrategy syzstr, const char *currRingName /* = currRingHdl->id */); |
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[1f637e] | 109 | |
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[35aab3] | 110 | syStrategy syMinimize(syStrategy syzstr); |
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| 111 | void syKillEmptyEntres(resolvente res,int length); |
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| 112 | |
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| 113 | extern int * currcomponents; |
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| 114 | extern long * currShiftedComponents; |
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| 115 | |
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| 116 | void syDeletePair(SObject * so); |
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| 117 | void syInitializePair(SObject * so); |
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| 118 | void syCopyPair(SObject * argso, SObject * imso); |
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| 119 | void syCompactifyPairSet(SSet sPairs, int sPlength, int first); |
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| 120 | void syCompactify1(SSet sPairs, int* sPlength, int first); |
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| 121 | SRes syInitRes(ideal arg,int * length, intvec * Tl, intvec * cw=NULL); |
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| 122 | void syResetShiftedComponents(syStrategy syzstr, int index,int hilb=0); |
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| 123 | void syEnlargeFields(syStrategy syzstr,int index); |
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| 124 | void syEnterPair(syStrategy syzstr, SObject * so, int * sPlength,int index); |
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| 125 | SSet syChosePairs(syStrategy syzstr, int *index, int *howmuch, int * actdeg); |
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| 126 | int syInitSyzMod(syStrategy syzstr, int index, int init=17); |
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| 127 | long syReorderShiftedComponents(long * sc, int n); |
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| 128 | void syGaussForOne(ideal arg,int gen,int ModComp,int from=-1,int till=0); |
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| 129 | void syEnterPair(SSet sPairs, SObject * so, int * sPlength,int index); |
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| 130 | void syEnterPair(syStrategy syzstr, SObject * so, int * sPlength,int index); |
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| 131 | syStrategy syKosz(ideal arg,int * length); |
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| 132 | |
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| 133 | resolvente syReorder(resolvente res,int length, |
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| 134 | syStrategy syzstr,BOOLEAN toCopy=TRUE,resolvente totake=NULL); |
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[750e70] | 135 | resolvente syReorder(resolvente res,int length, |
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| 136 | syStrategy syzstr,BOOLEAN toCopy/*=TRUE*/,resolvente totake/*=NULL*/); |
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[35aab3] | 137 | |
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| 138 | #endif |
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