| 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 | /* $Id: syz.h,v 1.8 1998-04-29 07:05:30 siebert Exp $ */ |
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| 7 | /* |
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| 8 | * ABSTRACT: Resolutions |
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| 9 | */ |
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| 10 | #include "structs.h" |
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| 11 | |
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| 12 | struct sSObject{ |
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| 13 | poly p; |
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| 14 | poly p1,p2; /*- the pair p comes from -*/ |
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| 15 | poly lcm; /*- the lcm of p1,p2 -*/ |
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| 16 | poly syz; /*- the syzygy associated to p1,p2 -*/ |
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| 17 | int ind1,ind2; /*- the indeces of p1,p2 -*/ |
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| 18 | poly isNotMinimal; |
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| 19 | int syzind; |
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| 20 | int order; |
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| 21 | }; |
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| 22 | typedef struct sSObject SObject; |
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| 23 | typedef SObject * SSet; |
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| 24 | typedef SSet * SRes; |
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| 25 | |
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| 26 | class ssyStrategy; |
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| 27 | typedef ssyStrategy * syStrategy; |
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| 28 | class ssyStrategy{ |
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| 29 | public: |
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| 30 | int length; |
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| 31 | int ** truecomponents; |
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| 32 | int ** backcomponents; |
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| 33 | int ** Howmuch; |
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| 34 | int ** Firstelem; |
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| 35 | intvec ** weights; |
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| 36 | resolvente res; |
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| 37 | resolvente orderedRes; |
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| 38 | SRes resPairs; |
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| 39 | intvec * Tl; |
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| 40 | resolvente fullres; |
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| 41 | resolvente minres; |
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| 42 | int references; |
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| 43 | int * binom; |
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| 44 | int highdeg_1; |
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| 45 | intvec * resolution; |
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| 46 | intvec * cw; |
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| 47 | }; |
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| 48 | |
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| 49 | void sySchreyersSyzygiesM(polyset F,int Fmax,polyset* Shdl,int* Smax, |
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| 50 | BOOLEAN noSort); |
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| 51 | |
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| 52 | void sySchreyersSyzygiesB(polyset F,int Fmax,polyset* Shdl,int* Smax, |
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| 53 | BOOLEAN noSort); |
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| 54 | |
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| 55 | resolvente sySchreyerResolvente(ideal arg, int maxlength, int * length, |
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| 56 | BOOLEAN isMonomial=FALSE, BOOLEAN notReplace=FALSE); |
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| 57 | |
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| 58 | syStrategy sySchreyer(ideal arg, int maxlength); |
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| 59 | |
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| 60 | resolvente syResolvente(ideal arg, int maxlength, int * length, |
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| 61 | intvec *** weights, BOOLEAN minim); |
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| 62 | |
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| 63 | syStrategy syResolution(ideal arg, int maxlength,intvec * w, BOOLEAN minim); |
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| 64 | |
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| 65 | resolvente syMinRes(ideal arg, int maxlength, int * length, BOOLEAN minim); |
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| 66 | |
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| 67 | void syMinimizeResolvente(resolvente res, int length, int first); |
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| 68 | |
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| 69 | intvec * syBetti(resolvente res,int length, int * regularity, |
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| 70 | intvec* weights=NULL); |
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| 71 | |
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| 72 | ideal syMinBase(ideal arg); |
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| 73 | |
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| 74 | BOOLEAN syTestOrder(ideal i); |
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| 75 | |
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| 76 | void syReOrderResolventFB(resolvente res,int length, int initial=1); |
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| 77 | |
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| 78 | resolvente syLaScala1(ideal arg,int * length); |
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| 79 | syStrategy syLaScala3(ideal arg,int * length); |
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| 80 | |
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| 81 | void syKillComputation(syStrategy syzstr); |
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| 82 | intvec * syBettiOfComputation(syStrategy syzstr); |
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| 83 | int syLength(syStrategy syzstr); |
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| 84 | int sySize(syStrategy syzstr); |
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| 85 | int syDim(syStrategy syzstr); |
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| 86 | syStrategy syCopy(syStrategy syzstr); |
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| 87 | void syPrint(syStrategy syzstr); |
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| 88 | lists syConvRes(syStrategy syzstr); |
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| 89 | syStrategy syConvList(lists li); |
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| 90 | syStrategy syForceMin(lists li); |
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| 91 | syStrategy syMinimize(syStrategy syzstr); |
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| 92 | #endif |
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