Annotation of OpenXM/src/kan96xx/Kan/extern2.h, Revision 1.2
1.2 ! takayama 1: /* $OpenXM$ */
1.1 maekawa 2: /* poly.c */
3: void KinitKan(void);
4: MONOMIAL newMonomial(struct ring *ringp);
5: MONOMIAL monomialCopy(MONOMIAL m);
6: struct coeff *newCoeff(void);
7: MP_INT *newMP_INT();
8: POLY newCell(struct coeff *c,MONOMIAL m);
9: POLY cxx(int c,int i,int k,struct ring *ringp);
10: POLY bxx(MP_INT *c,int i,int k,struct ring *ringp); /* *c is not copied */
11: POLY cdd(int c,int i,int k,struct ring *ringp);
12: POLY bdd(MP_INT *c,int i,int k,struct ring *ringp); /* *c is not copied */
13: void errorPoly(char *s);
14: void warningPoly(char *s);
15:
16: /** Note that the results of all functions are read only except
17: ppMult, mpMult, sp and constructors.
18: The results of ppMult, mpMult, sp and constructors may be rewritten.
19: **/
20: /* poly2.c */
21: POLY ppAdd(POLY f,POLY g);
22: POLY ppSub(POLY f,POLY g);
23: POLY ppMult(POLY f,POLY g);
24: POLY ppMult_poly(POLY f,POLY g);
25: POLY (*mpMult)(POLY f,POLY g);
26: POLY mpMult_poly(POLY f,POLY g);
27: MONOMIAL (*monomialAdd)(MONOMIAL f,MONOMIAL g);
28: MONOMIAL monomialAdd_poly(MONOMIAL f,MONOMIAL g);
29: POLY ppAddv(POLY f,POLY g); /* non-reentrant. It breaks f and g */
30: POLY ppAddv2(POLY f,POLY g,POLY top,POLY *nexttop);
31: /* non-reentrant. It breaks f and g */
32: POLY pCopy(POLY f); /* shallow copy of poly */
33: POLY pcCopy(POLY f); /* shallow copy of poly and coeff */
34: POLY pmCopy(POLY f); /* shallow copy of poly and monomial */
35: POLY pcmCopy(POLY f);/* Deep copy of poly, coeff and monomial */
36: POLY head(POLY f);
37: void pvSort(POLY f);
38: POLY pPower(POLY f,int k);
39: POLY pPower_poly(POLY f,int k);
40: POLY pcDiv(POLY f,struct coeff *c);
41: POLY cpMult(struct coeff *c,POLY f); /* non-reentrant */
42: POLY modulop(POLY f,struct ring *ringp);
43: POLY modulo0(POLY f,struct ring *ringp);
44: POLY modulopZ(POLY f,struct coeff *pcoeff);
45: struct pairOfPOLY quotientByNumber(POLY f,struct coeff *pcoeff);
46: int pLength(POLY f);
47:
48: /* poly3.c */
49: void initT(void);
50: void makeTable(struct coeff *c,struct exps e[],struct ring *ringp);
51: void monomialMult_diff(struct exps e[],POLY f);
52: POLY mpMult_diff(POLY f,POLY g); /* It is non-reentrant!!! */
53: POLY mpMult_difference(POLY f,POLY g);
54: /* replace.c */
55: POLY mReplace(POLY f,int lSideX[],POLY rSideX[],int sizex,
56: int lSideD[],POLY rSideD[],int sized,int commutative);
57: POLY replace(POLY f,POLY lRule[],POLY rRule[],int num);
58: POLY replace_poly(POLY f,POLY lRule[],POLY rRule[],int num);
59:
60: /* poly4.c */
61: struct matrixOfPOLY *parts(POLY f,POLY v);
62: int pDegreeWrtV(POLY f,POLY v);
63: POLY homogenize(POLY f);
64: POLY homogenize_vec(POLY f);
65: int isHomogenized(POLY f);
66: int isHomogenized_vec(POLY f);
67: int containVectorVariable(POLY f);
68: POLY POLYToPrincipalPart(POLY f);
69: POLY POLYToInitW(POLY f,int w[]);
70:
71: POLY polyGCD(POLY f,POLY g);
72: int isTheSameRing(struct ring *rstack[], int rp, struct ring *newRingp);
73:
74: /* coeff.c */
75: char *intToString(int i);
76: char *coeffToString(struct coeff *cp);
77: struct coeff *intToCoeff(int i,struct ring *ringp);
78: int coeffToInt(struct coeff *cp);
79: struct coeff *mpintToCoeff(MP_INT *b,struct ring *ringp);
80: struct coeff *polyToCoeff(POLY f,struct ring *ringp);
81: struct coeff *coeffNeg(struct coeff *c,struct ring *ringp);
82: void errorCoeff(char *s);
83: void warningCoeff(char *str);
84: void Cadd(struct coeff *r,struct coeff *a,struct coeff *b);
85: void Csub(struct coeff *r,struct coeff *a,struct coeff *b);
86: void Cmult(struct coeff *r,struct coeff *a,struct coeff *b);
87: void Cdiv(struct coeff *r,struct coeff *a,struct coeff *b);
88: MP_INT *BiiComb(int p,int q); /* read only */
89: int iiComb(int p,int q,int P);
90: void CiiComb(struct coeff *r,int p,int q); /* r->val.bigp is read only */
91: MP_INT *BiiPoch(int p,int k); /* read only */
92: int iiPoch(int p,int k,int P);
93: void CiiPoch(struct coeff *r,int p,int k); /* r->val.bigp is read only */
94: MP_INT *BiiPower(int p,int k); /* read only */
95: int iiPower(int p,int k,int P);
96: void CiiPower(struct coeff *r,int p,int k); /* r->val.bigp is read only */
97: struct coeff *coeffCopy(struct coeff *c);
98: struct coeff *stringToUniversalNumber(char *s,int *flagp);
99: struct coeff *newUniversalNumber(int i);
100: struct coeff *newUniversalNumber2(MP_INT *i);
101: #define is_this_coeff_MP_INT(c) ((c)->tag == MP_INTEGER?1:0)
102: #define coeff_to_MP_INT(c) ((c)->val.bigp)
103: int coeffEqual(struct coeff *c,struct coeff *d);
104: int coeffGreater(struct coeff *c,struct coeff *d);
105: POLY coeffToPoly(struct coeff *c,struct ring *rp);
106: void universalNumberDiv(struct coeff *q,struct coeff *a, struct coeff *b);
107: int isZero(struct coeff *a);
108: struct coeff *universalNumberGCD(struct coeff *a,struct coeff *b);
109:
110:
111: /* output.c */
112: char *POLYToString(POLY f,int multSym,int brace);
113: int isOne(struct coeff *cp);
114: int isMinusOne(struct coeff *cp);
115: int isMinusOne(struct coeff *cp);
116: int isNegative(struct coeff *cp);
117: int isConstant(POLY f);
118: void errorOutput(char *s);
119: int validOutputOrder(int w[],int n);
120:
121: /* order.c */
122: void setOrderByMatrix(int order[],int n,int c, int l,int omsize);
123: void printOrder(struct ring *ringp);
124: void showRing(int level,struct ring *ringp);
125: int (*mmLarger)(POLY f,POLY g);
126: int mmLarger_matrix(POLY f,POLY g);
127: int mmLarger_pureLexicographic(POLY f, POLY g);
128: int mmLarger_tower(POLY f,POLY g);
129: void setFromTo(struct ring *ringp);
130:
131: /* switch.c */
132: void print_switch_status(void);
133: char *switch_function(char *fun,char *arg);
134: void switch_init(void);
135: void switch_mmLarger(char *arg);
136: void switch_mpMult(char *arg);
137: void switch_monomialAdd(char *arg);
138: void switch_red(char *arg);
139: void switch_sp(char *arg);
140: void switch_groebner(char *arg);
141: void switch_grade(char *arg);
142: void switch_isSameComponent(char *arg);
143:
144: /* parser.c */
145: POLY stringToPOLY(char *s,struct ring *ringp);
146: char *str2strPass0(char *s,struct ring *rp);
147:
148: /* matrix.c : Arguments are read only.*/
149: struct arrayOfPOLY *aaAdd(struct arrayOfPOLY *aa,struct arrayOfPOLY *bb);
150: struct matrixOfPOLY *aaMult(struct matrixOfPOLY *aa,struct matrixOfPOLY *bb);
151: struct arrayOfPOLY *newArrayOfPOLY(int size);
152: struct matrixOfPOLY *newMatrixOfPOLY(int m,int n);
153: struct arrayOfPOLY *carrayToArrayOfPOLY(POLY a[],int size);
154: void errorMatrix(char *s);
155:
156: /* redm.c (red.c for modules) */
157: int isReducible_module(POLY f,POLY g);
158: int (*isSameComponent)(POLY f,POLY g);
159: int isSameComponent_x(POLY f,POLY g);
160: int isSameComponent_xd(POLY f,POLY g);
161: POLY lcm_module(POLY f,POLY g);
162: int grade_module1(POLY f);
163: int grade_module1v(POLY f);
164: int grade_module2(POLY f);
165: int grade_firstvec(POLY f);
166: int grade_sugar(POLY f);
167: int eliminated(POLY f);
168: int isOrdered(POLY f);
169:
170: /* resol.c */
171: struct arrayOfMonomialSyz schreyerSkelton(struct arrayOfPOLY g);
172: struct monomialSyz *newMonomialSyz(void);
173: struct arrayOfMonomialSyz enlargeArrayOfMonomialSyz(struct arrayOfMonomialSyz p);
174:
175:
176: /* from gradedset.h */
177: int (*grade)(POLY f);
178:
179: /* macro */
180: #define pMalloc(ringp) newCell(newCoeff(),newMonomial(ringp))
181:
182: #define xset0(f,i) f->m->e[i].x = 0
183: #define dset0(f,i) f->m->e[i].D = 0
184:
185: #define checkRing2(f,g) {\
186: if ((f)->m->ringp != (g)->m->ringp) {\
187: fprintf(stderr,"f and g must be in a same ring. Type in ctrl-\\");\
188: getchar(); getchar(); exit();\
189: }\
190: }
191:
192: #define checkRing(f,g) {\
193: if ((f)->m->ringp != (g)->m->ringp) {\
194: warningPoly("f and g must be in a same ring. Returns 0.\n");\
195: fprintf(stderr,"f=%s\n",POLYToString(f,'*',0));\
196: fprintf(stderr,"g=%s\n",POLYToString(g,'*',0));\
197: return(POLYNULL);\
198: }\
199: }
200:
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