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Annotation of OpenXM/src/kan96xx/Kan/datatype.h, Revision 1.12

1.12    ! takayama    1: /* $OpenXM: OpenXM/src/kan96xx/Kan/datatype.h,v 1.11 2005/06/16 06:54:55 takayama Exp $ */
1.1       maekawa     2: #include "gmp.h"
                      3:
                      4: /* GC */
                      5: void *GC_malloc(size_t size);
                      6: void *GC_realloc(void *p,size_t new);
                      7: void *sGC_malloc(size_t size);
                      8: void *sGC_realloc2(void *p,size_t old,size_t new);
                      9: void sGC_free2(void *p,size_t size);
                     10: void sGC_free(void *p);
                     11: /* six function for kan/protocol/0 */
                     12: int KSexecuteString(char *s);
                     13: char *KSpopString(void);
                     14: int KSset(char *name);
                     15: int KSpushBinary(int size,char *data);
                     16: char *KSpopBinary(int *size);
                     17: void KSstart();
                     18: void KSstop();
                     19:
                     20: /*********** You may modify these system constants below **********************/
                     21: #define N0     100    /* maximal number of variables.   !-VARS=N0  */
                     22:
                     23: /*******************************************************************/
                     24:
                     25: #define INPUTLIMIT 600 /* used for input data */ /* 300 */
                     26: #define AGLIMIT 110  /* dbm3.c */   /* 100, 300 */
                     27:                      /* NEWSIZE, NEWLIMIET in dbm3.c
                     28:                         and OB_ARRAY_MAX, ARGV_WORK_MAX in stackmachine.c
                     29:                        must be larger than AGLIMIT. They are automatically
                     30:                        determined by the value of AGLIMIT. */
                     31:
1.6       takayama   32: #define LARGE_NEGATIVE_NUMBER (-0x7fffffff)  /* for 32 bit */
1.1       maekawa    33:
                     34: typedef struct listPoly *   POLY;
                     35: typedef struct monomial *   MONOMIAL;
                     36: typedef enum {UNKNOWN,INTEGER,MP_INTEGER,POLY_COEFF} coeffType;
                     37:
                     38: /************** definition for the coeff ****************/
                     39: union number {
                     40:   int i;
                     41:   MP_INT *bigp;
                     42:   MP_RAT *ratp;
                     43:   POLY   f;
                     44: };
                     45:
                     46: struct coeff {
                     47:   coeffType tag;
                     48:   int p;   /* characteristic */
                     49:   union number val;
                     50: };
                     51:
                     52: /******************************************************/
                     53:
                     54: struct ring {
                     55:   int p;
                     56:   int n;
                     57:   int nn;
                     58:   int m;
                     59:   int mm;
                     60:   int l;
                     61:   int ll;
                     62:   int c;    /* c must be larger than or equal 1. D[0] is homog. var.
                     63:               cf. mmLarger*/
                     64:   int cc;
                     65:   char **x;
                     66:   char **D;
1.12    ! takayama   67:   char **Dsmall;
1.1       maekawa    68:   int *order;   /* [i][j] ---> [i*2*N+j] */
                     69:   int orderMatrixSize;
                     70:   int *from;
                     71:   int *to;
                     72:   struct ring *next;
                     73:   POLY (*multiplication)();
                     74:   int schreyer;
                     75:   void *gbListTower;
                     76:   int *outputOrder;
                     77:   char *name;
1.3       takayama   78:   int weightedHomogenization;
1.4       takayama   79:   int degreeShiftSize;
1.5       takayama   80:   int degreeShiftN;
1.4       takayama   81:   int *degreeShift;
1.10      takayama   82:   int partialEcart;
                     83:   int *partialEcartGlobalVarX;
                     84:
                     85: /* To be used. */
                     86:   void *ringInInputForm;
1.1       maekawa    87: };
                     88:
                     89:
                     90: /* exponents */
                     91: struct exps {
                     92:   int x;
                     93:   int D;
                     94: };
                     95:
                     96: struct expl {
                     97:   int x;
                     98: };
                     99: /* linear access to exponent vector */
                    100: /* Example: (struct monomial *) f;   ((struct expl)f->exps).x[i] */
                    101:
                    102: struct monomial {
                    103:   struct ring *ringp;
                    104:   struct exps e[N0];
                    105: };
                    106:
                    107: struct monomialDummy {
                    108:   struct ring *ringp;
                    109:   struct exps e[N0-1];
                    110: };
                    111:
                    112: struct smallMonomial {
                    113:   struct ring *ringp;
                    114:   struct exps e[1];
                    115: };
                    116:
                    117: struct listPoly {
                    118:   struct listPoly *next;
                    119:   struct coeff *coeffp;
                    120:   MONOMIAL m;
                    121: };
                    122:
                    123:
                    124: #define MNULL      (MONOMIAL)NULL
                    125: #define POLYNULL   (POLY)NULL
                    126: #define ISZERO     == POLYNULL
                    127: #define ZERO       POLYNULL
                    128:
                    129: struct pairOfPOLY {
                    130:   POLY first;
                    131:   POLY second;
                    132: };
                    133:
                    134: /*          n
                    135:    ----------------------------
                    136: m  |                          |
                    137:    |                          |
                    138:    ----------------------------
                    139:
                    140:    c.f. matrix.h,   mat[i,j] = mat[ i*n + j ]
                    141: */
                    142: struct matrixOfPOLY {
                    143:   int m;
                    144:   int n;
                    145:   POLY *mat;
                    146: };
                    147:
                    148: struct arrayOfPOLY {
                    149:   int n;
                    150:   POLY *array;
                    151: };
                    152:
                    153:
                    154:
                    155: /*  gradedSet */
                    156: struct syz0 {
                    157:   POLY cf;      /* cf*f + \sum syz(grade,i)*g(grade,i) */
                    158:   POLY syz;     /* syz is the element of R[x,y] where R is the current ring. */
                    159:                 /* cf is the element of R. syz(grade,i) is the coefficient of
                    160:                   x^{grade} y^{i}. */
                    161: };
                    162:
                    163: struct polySet {
                    164:   POLY *g;            /* g[0], g[1], ... are the elements of the set of poly*/
                    165:   int *del;           /* del[i] == 1 ---> redundant element. */
                    166:   struct syz0 **syz;  /* syz[i] is the syzygy to get g[i]. */
                    167:   int *mark;          /* if (mark[i]), then syz[i] is simplified. */
                    168:   int *serial;        /* serial[i]=k ===> g[i] is input[k] */
                    169:   int size;           /* size of this set. i.e., g[0], g[1], ..., g[size-1] */
1.7       takayama  170:   int lim;
                    171:   POLY *gh;           /* gh[i] = homogenize(g[i]) for ecart division */
1.8       takayama  172:   int *gen;           /* gen[i] == 1 --> given generators */
1.9       takayama  173:   POLY *gmod;         /* gmod = g mod p for TraceLift. */
1.1       maekawa   174: };
                    175:
                    176: struct pair {
                    177:   POLY lcm;        /* lcm of i and j */
                    178:   int ig; int ii;  /* grade and index of i. */
                    179:   int jg; int ji;  /* grade and index of j. */
                    180:   int del;
                    181:   int grade;       /* grade of lcm */
                    182:   struct pair *next;
                    183:   struct pair *prev;
                    184:   POLY syz; /* if the sp(i,j)-->0, the division process is stored. */
                    185: };
                    186:
                    187: struct gradedPolySet {
                    188:   struct polySet **polys;  /* polys[0]: grade=0, polys[1]:grade=1, ... */
                    189:   int maxGrade;            /* maximal grade in this set */
                    190:   int lim;
1.11      takayama  191:   int gb;  /* it is gb or not. */
                    192:   int reduced; /* it is reduced gb or not. */
1.1       maekawa   193: };
                    194:
                    195: struct gradedPairs {
                    196:   struct pair **pairs;    /* pairs[0]: grade=0, .... */
                    197:   int maxGrade;
                    198:   int lim;
                    199: };
                    200:
                    201: struct spValue {
                    202:   /* POLY sp;      sp(i,j) = a*i+b*j */
                    203:   POLY a;
                    204:   POLY b;
                    205: };
                    206:
                    207: struct monomialSyz {
                    208:   int i;
                    209:   int j;
                    210:   int deleted;
                    211:   POLY a;
                    212:   POLY b;
                    213: };
                    214:
                    215: struct arrayOfMonomialSyz {
                    216:   int size;
                    217:   int limit;
                    218:   struct monomialSyz **p;
                    219: };
                    220:
                    221:
                    222:
                    223:

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