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Diff for /OpenXM/src/kan96xx/Kan/ecart.c between version 1.4 and 1.5

version 1.4, 2003/07/17 23:47:44 version 1.5, 2003/07/19 06:03:57
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Line 1 
 /* $OpenXM: OpenXM/src/kan96xx/Kan/ecart.c,v 1.3 2003/07/17 23:37:01 takayama Exp $ */  /* $OpenXM: OpenXM/src/kan96xx/Kan/ecart.c,v 1.4 2003/07/17 23:47:44 takayama Exp $ */
 #include <stdio.h>  #include <stdio.h>
 #include "datatype.h"  #include "datatype.h"
 #include "extern2.h"  #include "extern2.h"
Line 16  struct ecartPolyArray {
Line 16  struct ecartPolyArray {
   int size;    int size;
   int limit;    int limit;
   POLY *pa;    POLY *pa;
     POLY *cf;
     POLY *syz;
 };  };
   
 static struct ecartReducer ecartFindReducer(POLY r,struct gradedPolySet *gset,struct ecartPolyArray *epa);  static struct ecartReducer ecartFindReducer(POLY r,struct gradedPolySet *gset,struct ecartPolyArray *epa);
 static int ecartCheckPoly(POLY f);  /* check if it does not contain s-variables */  static int ecartCheckPoly(POLY f);  /* check if it does not contain s-variables */
 static int ecartCheckEnv();         /* check if the environment is OK for ecart div*/  static int ecartCheckEnv();         /* check if the environment is OK for ecart div*/
 static struct ecartPolyArray *ecartPutPolyInG(POLY g,struct ecartPolyArray *eparray);  static struct ecartPolyArray *ecartPutPolyInG(POLY g,struct ecartPolyArray *eparray,POLY cf, POLY syz);
 static int ecartGetEll(POLY r,POLY g);  static int ecartGetEll(POLY r,POLY g);
 static POLY ecartDivideSv(POLY r);  static POLY ecartDivideSv(POLY r,int *d);
   /* No automatic homogenization and s is used as a standart var. */
   static POLY reduction_ecart0(POLY r,struct gradedPolySet *gset,
                                int needSyz, struct syz0 *syzp);
   /* Automatic homogenization and s->1 */
   static POLY reduction_ecart1(POLY r,struct gradedPolySet *gset,
                                int needSyz, struct syz0 *syzp);
   static POLY  ecartCheckSyz0(POLY cf,POLY r_0,POLY syz,
                               struct gradedPolySet *gg,POLY r);
   
 extern int DebugReductionRed;  extern int DebugReductionRed;
   
Line 38  extern int EcartAutomaticHomogenization;
Line 48  extern int EcartAutomaticHomogenization;
 #define LARGE 0x7fffffff  #define LARGE 0x7fffffff
   
   
 static POLY ecartDivideSv(POLY r) {  static POLY ecartDivideSv(POLY r,int *d) {
   POLY f;    POLY f;
   int k;    int k;
     *d = 0;
   if (r == POLYNULL) return r;    if (r == POLYNULL) return r;
   f = r; k = LARGE;    f = r; k = LARGE;
   while (r != POLYNULL) {    while (r != POLYNULL) {
Line 50  static POLY ecartDivideSv(POLY r) {
Line 61  static POLY ecartDivideSv(POLY r) {
     r = r->next;      r = r->next;
   }    }
   if (k > 0) {    if (k > 0) {
       *d = k;
     f = r;      f = r;
     while (r != POLYNULL) {      while (r != POLYNULL) {
       r->m->e[0].x -= k;        r->m->e[0].x -= k;
Line 83  static int ecartGetEll(POLY f,POLY g) {
Line 95  static int ecartGetEll(POLY f,POLY g) {
   
   
 #define EP_SIZE 10  #define EP_SIZE 10
 static struct ecartPolyArray *ecartPutPolyInG(POLY g,struct ecartPolyArray *eparray)  static struct ecartPolyArray *ecartPutPolyInG(POLY g,struct ecartPolyArray *eparray,POLY cf,POLY syz)
 {  {
   struct ecartPolyArray *a;    struct ecartPolyArray *a;
   POLY *ep;    POLY *ep;
Line 93  static struct ecartPolyArray *ecartPutPolyInG(POLY g,s
Line 105  static struct ecartPolyArray *ecartPutPolyInG(POLY g,s
     outofmemory(a);      outofmemory(a);
     ep = (POLY *) sGC_malloc(sizeof(POLY)*EP_SIZE);      ep = (POLY *) sGC_malloc(sizeof(POLY)*EP_SIZE);
     outofmemory(ep);      outofmemory(ep);
       a->cf = (POLY *) sGC_malloc(sizeof(POLY)*EP_SIZE);
       outofmemory(a->cf);
       a->syz = (POLY *) sGC_malloc(sizeof(POLY)*EP_SIZE);
       outofmemory(a->syz);
     a->limit = EP_SIZE;      a->limit = EP_SIZE;
     a->size = 0;      a->size = 0;
     a->pa = ep;      a->pa = ep;
Line 103  static struct ecartPolyArray *ecartPutPolyInG(POLY g,s
Line 119  static struct ecartPolyArray *ecartPutPolyInG(POLY g,s
     outofmemory(a);      outofmemory(a);
     ep = (POLY *) sGC_malloc(sizeof(POLY)*((eparray->limit)*2));      ep = (POLY *) sGC_malloc(sizeof(POLY)*((eparray->limit)*2));
     outofmemory(ep);      outofmemory(ep);
       a->cf = (POLY *) sGC_malloc(sizeof(POLY)*((eparray->limit)*2));
       outofmemory(a->cf);
       a->syz = (POLY *) sGC_malloc(sizeof(POLY)*((eparray->limit)*2));
       outofmemory(a->syz);
     a->limit = (eparray->limit)*2;      a->limit = (eparray->limit)*2;
     a->size = eparray->size;      a->size = eparray->size;
     a->pa = ep;      a->pa = ep;
     for (i=0; i<eparray->size; i++) {      for (i=0; i<eparray->size; i++) {
       (a->pa)[i] = (eparray->pa)[i];        (a->pa)[i] = (eparray->pa)[i];
         (a->cf)[i] = (eparray->cf)[i];
         (a->syz)[i] = (eparray->syz)[i];
     }      }
     eparray  = a;      eparray  = a;
   }    }
   i = eparray->size;    i = eparray->size;
   (eparray->pa)[i] = g;    (eparray->pa)[i] = g;
     (eparray->cf)[i] = cf;
     (eparray->syz)[i] = syz;
   (eparray->size)++;    (eparray->size)++;
   return eparray;    return eparray;
 }  }
Line 184  static struct ecartReducer ecartFindReducer(POLY r,str
Line 208  static struct ecartReducer ecartFindReducer(POLY r,str
   }    }
 }  }
   
   static POLY  ecartCheckSyz0(POLY cf,POLY r_0,POLY syz,
                              struct gradedPolySet *gg,POLY r)
   {
     POLY f;
     int grd,i;
     POLY q;
     struct coeff *c;
     f = ppMult(cf,r_0);
     while (syz != POLYNULL) {
       grd = syz->m->e[0].x;
       i = syz->m->e[0].D;
       c = syz->coeffp;
       if (c->tag == POLY_COEFF) {
         q = c->val.f;
       }else{
         q = POLYNULL;
       }
       f = ppAdd(f,ppMult(q,((gg->polys[grd])->g)[i]));
                                   /* not gh, works only for _ecart0 */
       syz = syz->next;
     }
     f = ppSub(f,r);
     return f;
   }
   
   
   POLY reduction_ecart(r,gset,needSyz,syzp)
        POLY r;
        struct gradedPolySet *gset;
        int needSyz;
        struct syz0 *syzp; /* set */
   {
     if (EcartAutomaticHomogenization) {
       return reduction_ecart1(r,gset,needSyz,syzp);
     }else{
       return reduction_ecart0(r,gset,needSyz,syzp);
     }
   }
   
 /*  /*
   r and gset are assumed to be (0,1)-homogenized (h-homogenized)    r and gset are assumed to be (0,1)-homogenized (h-homogenized)
   If EcartAutomaticHomogenization == 0, then r and gset are assumed    Polynomials r and gset are assumed
   to be double homogenized (h-homogenized and s(H)-homogenized)    to be double homogenized (h-homogenized and s(H)-homogenized)
  */   */
 POLY reduction_ecart(r,gset,needSyz,syzp)  static POLY reduction_ecart0(r,gset,needSyz,syzp)
      POLY r;       POLY r;
      struct gradedPolySet *gset;       struct gradedPolySet *gset;
      int needSyz;       int needSyz;
Line 205  POLY reduction_ecart(r,gset,needSyz,syzp)
Line 268  POLY reduction_ecart(r,gset,needSyz,syzp)
   struct ecartPolyArray *gg;    struct ecartPolyArray *gg;
   POLY pp;    POLY pp;
   int ell;    int ell;
     POLY cf_o;
     POLY syz_o;
     POLY r_0;
   
   extern struct ring *CurrentRingp;    extern struct ring *CurrentRingp;
   struct ring *rp;    struct ring *rp;
   
     r_0 = r;
   gg = NULL;    gg = NULL;
   if (needSyz) {    if (needSyz) {
     if (r ISZERO) { rp = CurrentRingp; } else { rp = r->m->ringp; }      if (r ISZERO) { rp = CurrentRingp; } else { rp = r->m->ringp; }
Line 223  POLY reduction_ecart(r,gset,needSyz,syzp)
Line 290  POLY reduction_ecart(r,gset,needSyz,syzp)
     }      }
   }    }
   
   if (EcartAutomaticHomogenization) {    do {
       r = goHomogenize11(r,DegreeShifto_vec,DegreeShifto_size,-1,1);      if (DebugReductionRed) printf("r=%s\n",POLYToString(r,'*',1));
       ells = ecartFindReducer(r,gset,gg);
       ell = ells.ell;
       if (ell > 0) {
         if (needSyz) {
           gg = ecartPutPolyInG(r,gg,cf,syz);
         }else{
           gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL);
         }
       }
       if (ell >= 0) {
         if (ells.first) {
           pp = ((gset->polys[ells.grade])->gh)[ells.gseti];
         }else{
           pp = (gg->pa)[ells.ggi];
         }
         if (ell > 0) r = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */
         r = (*reduction1)(r,pp,needSyz,&cc,&cg);
         if (needSyz) {
           if (ells.first) {
             if (ell >0) cc = ppMult(cc,cxx(1,0,ell,rp));
             cf = ppMult(cc,cf);
             syz = cpMult(toSyzCoeff(cc),syz);
             syz = ppAdd(syz,toSyzPoly(cg,ells.grade,ells.gseti));
           }else{
             if (ell >0) cc = ppMult(cc,cxx(1,0,ell,rp));
             cf_o = (gg->cf)[ells.ggi];
             syz_o = (gg->syz)[ells.ggi];
             cf = ppMult(cc,cf);
             cf = ppAdd(cf,ppMult(cg,cf_o));
             syz = cpMult(toSyzCoeff(cc),syz);
             syz = ppAdd(syz,cpMult(toSyzCoeff(cg),syz_o));
                     /* Note. 2003.07.19 */
           }
           if (DebugReductionRed) {
                     POLY tp;
                     tp = ecartCheckSyz0(cf,r_0,syz,gset,r);
                     if (tp != POLYNULL) {
                           fprintf(stderr,"reduction_ecart0(): sygyzy is broken. Return the Current values.\n");
                           fprintf(stderr,"%s\n",POLYToString(tp,'*',1));
                           syzp->cf = cf;
                           syzp->syz = syz;
                           return r;
                     }
           }
         }
         if (r ISZERO) goto ss;
         /*r = ecartDivideSv(r,&se); r = r/s^? Don't do this. */
       }
     }while (ell >= 0);
   
    ss: ;
     if (needSyz) {
       syzp->cf = cf;   /* cf is in the CurrentRingp */
       syzp->syz = syz; /* syz is in the SyzRingp */
   }    }
   
     return(r);
   }
   
   /*
     r and gset are assumed to be (0,1)-homogenized (h-homogenized)
     r and gset are not assumed
     to be double homogenized (h-homogenized and s(H)-homogenized)
     They are automatically s(H)-homogenized, and s is set to 1
     when this function returns.
    */
   static POLY reduction_ecart1(r,gset,needSyz,syzp)
        POLY r;
        struct gradedPolySet *gset;
        int needSyz;
        struct syz0 *syzp; /* set */
   {
     int reduced,reduced1,reduced2;
     int grd;
     struct polySet *set;
     POLY cf,syz;
     int i;
     POLY cc,cg;
     struct ecartReducer ells;
     struct ecartPolyArray *gg;
     POLY pp;
     int ell;
     int se;
   
     extern struct ring *CurrentRingp;
     struct ring *rp;
   
     gg = NULL;
     if (needSyz) {
       if (r ISZERO) { rp = CurrentRingp; } else { rp = r->m->ringp; }
       cf = cxx(1,0,0,rp);
       syz = ZERO;
     }
   
     if (r != POLYNULL) {
       rp = r->m->ringp;
       if (! rp->weightedHomogenization) {
         errorKan1("%s\n","ecart.c: the given ring must be declared with [(weightedHomogenization) 1]");
       }
     }
   
     r = goHomogenize11(r,DegreeShifto_vec,DegreeShifto_size,-1,1);
   /* 1 means homogenize only s */    /* 1 means homogenize only s */
   
   do {    do {
Line 233  POLY reduction_ecart(r,gset,needSyz,syzp)
Line 401  POLY reduction_ecart(r,gset,needSyz,syzp)
     ells = ecartFindReducer(r,gset,gg);      ells = ecartFindReducer(r,gset,gg);
     ell = ells.ell;      ell = ells.ell;
     if (ell > 0) {      if (ell > 0) {
       gg = ecartPutPolyInG(r,gg);        gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL);
     }      }
     if (ell >= 0) {      if (ell >= 0) {
       if (ells.first) {        if (ells.first) {
Line 249  POLY reduction_ecart(r,gset,needSyz,syzp)
Line 417  POLY reduction_ecart(r,gset,needSyz,syzp)
           syz = cpMult(toSyzCoeff(cc),syz);            syz = cpMult(toSyzCoeff(cc),syz);
           syz = ppAddv(syz,toSyzPoly(cg,ells.grade,ells.gseti));            syz = ppAddv(syz,toSyzPoly(cg,ells.grade,ells.gseti));
         }else{          }else{
                     fprintf(stderr,"It has not yet implemented.\n");
                     exit(10);
           /* BUG: not yet */            /* BUG: not yet */
         }          }
       }        }
       if (r ISZERO) goto ss;        if (r ISZERO) goto ss1;
       r = ecartDivideSv(r); /* r = r/s^? */        r = ecartDivideSv(r,&se); /* r = r/s^? */
     }      }
   }while (ell >= 0);    }while (ell >= 0);
   
  ss: ;   ss1: ;
   if (needSyz) {    if (needSyz) {
     syzp->cf = cf;   /* cf is in the CurrentRingp */      syzp->cf = cf;   /* cf is in the CurrentRingp */
     syzp->syz = syz; /* syz is in the SyzRingp */      syzp->syz = syz; /* syz is in the SyzRingp */
     /* BUG: dehomogenize the syzygy */      /* BUG: dehomogenize the syzygy */
           fprintf(stderr,"It has not yet implemented.\n");
           exit(10);
   }    }
   /*  
   r = goDeHomogenizeS(r);    r = goDeHomogenizeS(r);
   */  
   return(r);    return(r);
 }  }
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