Annotation of OpenXM/src/kan96xx/Kan/gradedset.h, Revision 1.3
1.3 ! takayama 1: /* $OpenXM: OpenXM/src/kan96xx/Kan/gradedset.h,v 1.2 2000/01/16 07:55:39 takayama Exp $ */
1.1 maekawa 2: /* gradedset.h */
3: #define max(a,b) (a>b?a:b)
4:
5: /* You may use only ppAdd() and cpMult() for the elements of SyzRingp. */
6: #define srGrade(s) ((s)->m->e[0].x) /* s is in the SyzRingp */
7: #define srIndex(s) ((s)->m->e[0].D)
8: #define srSyzCoeffToPOLY(s) ((s)->val.f)
9:
10:
11: /* gradedset.c */
12: void errorGradedSet(char *s);
13: void warningGradedSet(char *s);
14: struct polySet *newPolySet(int n);
15: struct pair *newPair(struct pair *prev);
16: struct pair *pairCopy(struct pair *node);
17: struct gradedPolySet *newGradedPolySet(int n);
18: struct gradedPairs *newGradedPairs(int n);
19: struct gradedPairs *enlargeGradedPairs(int size,struct gradedPairs *grD);
20: void insertPair(struct pair *inode,struct pair *before);
21: /* insert inode after before */
22: struct pair *deletePair(struct pair *p); /* delete p->next and returns
23: p->next */
24: struct pair *getPair(struct gradedPairs *grD);
25: void whereInG(struct gradedPolySet *g, POLY fi, int *gradep, int *indexp,int sugar);
26: struct gradedPolySet *putPolyInG(struct gradedPolySet *g, POLY fi, int grade,
27: int index,struct syz0 *syz,int mark,int serial);
28: void markRedundant(struct gradedPolySet *g,POLY gt,int grade,int index,int sugar);
29: void markRedundant0(struct gradedPolySet *g,int grade,int index);
30: struct syz0 *newSyz0(void);
31: struct gradedPairs *putPairInGradedPairs(struct gradedPairs *grP,
32: struct pair *top);
33: void outputGradedPolySet(struct gradedPolySet *grG,int needSyz);
34: void outputGradedPairs(struct gradedPairs *grP);
35: void outputNode(struct pair *p);
36: int countPairs(struct gradedPairs *grD);
37: int countGradedPolySet(struct gradedPolySet *grD);
38: struct gradedPolySet *gradedPolySetCopy(struct gradedPolySet *grG);
39: int deletePairByCriterion2B(struct gradedPairs *grD,POLY gt,struct gradedPolySet *grG);
40:
41: /* red.c */
42: struct spValue (*sp)(POLY f,POLY g);
43: int (*isReducible)(POLY f,POLY g);
44: POLY (*reduction1)(POLY f,POLY g,int needSyz,POLY *cc,POLY *cg);
45: /* if needSyz, then result = *cc f + *cg g. */
46: /* syzp->cf is in the CurrentRignp and syzp->syz is in the SyzRingp. */
47: POLY (*reduction)(POLY f,struct gradedPolySet *gset,int needSyz,
48: struct syz0 *syzp);
49: POLY (*isCdrReducible)(POLY f,POLY g);
50: POLY (*reduction1Cdr)(POLY f,POLY fs,POLY g,int needSyz,POLY *cc,POLY *cg);
51: /* if needSyz, then result = *cc f + *cg g. */
52: POLY (*reductionCdr)(POLY f,struct gradedPolySet *gset,int needSyz,
53: struct syz0 *syzp);
54: POLY (*lcm)(POLY f,POLY g);
55: POLY reduction1_gen(POLY f,POLY g,int needSyz,POLY *cc,POLY *cg);
56: POLY reduction1_gen_debug(POLY f,POLY g,int needSyz,POLY *cc,POLY *cg);
57: POLY reduction1_sugar(POLY f,POLY g,int needSyz,POLY *c,POLY *h,int sugarGrade);
58: int isReducible_gen(POLY f,POLY g);
59: POLY reduction_gen(POLY f,struct gradedPolySet *gset,int needSyz,
60: struct syz0 *syzp);
61: POLY reduction_gen_rev(POLY f,struct gradedPolySet *gset,int needSyz,
62: struct syz0 *syzp);
63: POLY reduction_sugar(POLY f,struct gradedPolySet *gset,int needSyz,
64: struct syz0 *syzp,int sugarGrade);
65: POLY reduction1Cdr_gen(POLY f,POLY fs,POLY g,int needSyz,POLY *cc,POLY *cg);
66: POLY isCdrReducible_gen(POLY f,POLY g);
67: POLY reductionCdr_gen(POLY f,struct gradedPolySet *gset,int needSyz,
68: struct syz0 *syzp);
69: POLY lcm_gen(POLY f,POLY g);
70: struct spValue sp_gen(POLY f,POLY g);
71: struct spValue sp_q(POLY f,POLY g);
72: int grade_gen(POLY f);
1.3 ! takayama 73: POLY reductionCdr_except_grd_i(POLY f,struct gradedPolySet *gset,
! 74: int needSyz,struct syz0 *syzp,
! 75: int grd,int i, int *reduced);
! 76: /* Polynomial at (grd,i) is not used for reduction.
! 77: if del[j] == 1, then the attached polynomial is not used for reduction.*/
1.1 maekawa 78:
79: /* constructor */
80: POLY toSyzPoly(POLY cg,int grade,int index);
81: struct coeff *toSyzCoeff(POLY f);
82: void initSyzRingp(void);
83:
84: /* gb.c */
85: struct gradedPolySet *(*groebner)(struct arrayOfPOLY *f,
86: int needBack,
87: int needSyz, struct pair **grP,
88: int countDown,int forceReduction);
89: struct gradedPolySet *groebner_gen(struct arrayOfPOLY *f,
90: int needBack,
91: int needSyz, struct pair **grP,
92: int countDown,int forceReduction);
93: struct gradedPairs *updatePairs(struct gradedPairs *grD, POLY gt,
94: int gtGrade, int t,
95: struct gradedPolySet *grG);
96: /* add gt to grD. gt is indexed by (gtGrade,t) */
1.3 ! takayama 97: void toReducedBasis(struct gradedPolySet *grP,int needBack, int needSyz);
! 98:
1.1 maekawa 99:
100: /* gbGM.c */
101: struct gradedPolySet *groebner_gm(struct arrayOfPOLY *f,
102: int needBack,
103: int needSyz, struct pair **grP,
104: int countDown,int forceReduction);
105:
106: /* syz0 */
107: void simplifyBT(int grd,int index, struct gradedPolySet *grG);
108: /* grG->polys[i]->syz[j],mark[j] is modified. */
109:
110: void getBackwardTransformation(struct gradedPolySet *grG);
111: /* grG->polys[i]->syz[j],mark[j] is modified. */
112:
113: struct arrayOfPOLY *getSyzygy0(struct gradedPolySet *grG,
114: struct pair *zeroPairs);
115: /* grG->polys[i]->mark[j] are modified.
116: grG->polys[i]->del[j] and syz[j] must be set.
117: syz[j] is the result of the reduction by grBases. cf. getSyzygy(). */
118:
119: struct matrixOfPOLY *getSyzygy(struct gradedPolySet *grG,struct pair *zp,
120: struct gradedPolySet **grBasesp,
121: struct matrixOfPOLY **backwardMatp);
122: /* grBasesp is also returned. */
123:
124: POLY getSyzPolyFromSp(struct pair *spij,struct gradedPolySet *grG);
125: /* del and syz of grG and grBases must be properly set. mark of grG
126: will be modified. */
127:
128: struct matrixOfPOLY *getBackwardMatrixOfPOLY(struct gradedPolySet *grG);
129: /* get B */
130:
131: struct matrixOfPOLY *getSyzygy1(struct matrixOfPOLY *b,struct matrixOfPOLY *nc,
132: struct arrayOfPOLY *dc);
133:
134: struct matrixOfPOLY *getNC(struct gradedPolySet *newG,int n,
135: struct gradedPolySet *grBases);
136: /* get the numerator of C */
137:
138: struct arrayOfPOLY *getDC(struct gradedPolySet *newG);
139: /* diag(DC) f + C G = 0. */
140:
141: void errorSyz0(char *s);
142:
143: /* conversion */
144: struct arrayOfPOLY *syzPolyToArrayOfPOLY(int size,POLY f,
145: struct gradedPolySet *grG);
146: /* f is in SyzRingp. */
147:
148:
149: #define checkRingSp(f,g,r) {\
150: if ((f)->m->ringp != (g)->m->ringp) {\
151: warningPoly("f and g must be in a same ring. Returns 0.\n");\
152: fprintf(stderr,"f=%s\n",POLYToString(f,'*',0));\
153: fprintf(stderr,"g=%s\n",POLYToString(g,'*',0));\
154: r.a = ZERO; r.b = ZERO;\
155: return(r);\
156: }\
157: }
158:
159: #define checkRingIsR(f,g) {\
160: if ((f)->m->ringp != (g)->m->ringp) {\
161: warningPoly("f and g must be in a same ring. Returns 0.\n");\
162: fprintf(stderr,"f=%s\n",POLYToString(f,'*',0));\
163: fprintf(stderr,"g=%s\n",POLYToString(g,'*',0));\
164: return(0);\
165: }\
166: }
167:
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