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Diff for /OpenXM/src/kan96xx/Kan/ecart.c between version 1.14 and 1.19

version 1.14, 2003/08/26 05:06:01 version 1.19, 2003/09/20 09:57:29
Line 1 
Line 1 
 /* $OpenXM: OpenXM/src/kan96xx/Kan/ecart.c,v 1.13 2003/08/22 01:02:45 takayama Exp $ */  /* $OpenXM: OpenXM/src/kan96xx/Kan/ecart.c,v 1.18 2003/09/12 02:52:50 takayama Exp $ */
 #include <stdio.h>  #include <stdio.h>
 #include "datatype.h"  #include "datatype.h"
 #include "extern2.h"  #include "extern2.h"
Line 36  static POLY reduction_ecart1(POLY r,struct gradedPolyS
Line 36  static POLY reduction_ecart1(POLY r,struct gradedPolyS
 static POLY reduction_ecart1_mod(POLY r,struct gradedPolySet *gset);  static POLY reduction_ecart1_mod(POLY r,struct gradedPolySet *gset);
 static POLY  ecartCheckSyz0(POLY cf,POLY r_0,POLY syz,  static POLY  ecartCheckSyz0(POLY cf,POLY r_0,POLY syz,
                             struct gradedPolySet *gg,POLY r);                              struct gradedPolySet *gg,POLY r);
   static void  ecartCheckSyz0_printinfo(POLY cf,POLY r_0,POLY syz,
                               struct gradedPolySet *gg,POLY r);
   
 extern int DebugReductionRed;  extern int DebugReductionRed;
 extern int TraceLift;  extern int TraceLift;
Line 43  struct ring *TraceLift_ringmod;
Line 45  struct ring *TraceLift_ringmod;
 extern DoCancel;  extern DoCancel;
 int DebugReductionEcart = 0;  int DebugReductionEcart = 0;
 extern DebugContentReduction;  extern DebugContentReduction;
   extern int Sugar;
   
 /* This is used for goHomogenization */  /* This is used for goHomogenization */
 extern int DegreeShifto_size;  extern int DegreeShifto_size;
 extern int *DegreeShifto_vec;  extern int *DegreeShifto_vec;
   int Ecart_sugarGrade;
   
 /* It is used reduction_ecart() and ecartFindReducer()  /* It is used reduction_ecart() and ecartFindReducer()
    to determine if we homogenize in this function */     to determine if we homogenize in this function */
Line 67  static POLY ecartDivideSv(POLY r,int *d) {
Line 71  static POLY ecartDivideSv(POLY r,int *d) {
     }      }
     r = r->next;      r = r->next;
   }    }
   
   if (k > 0) {    if (k > 0) {
     *d = k;      *d = k;
           return ppMult(cxx(1,0,-k,f->m->ringp),f);
     }else{
           return f;
     }
   
     /* Do not do the below. It caused a bug. cf. misc-2003/07/ecart/b4.sm1 test2.
        Note. 2003.8.26
      */
     /*
     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 76  static POLY ecartDivideSv(POLY r,int *d) {
Line 92  static POLY ecartDivideSv(POLY r,int *d) {
     }      }
   }    }
   return f;    return f;
     */
 }  }
   
 static int ecartGetEll(POLY f,POLY g) {  static int ecartGetEll(POLY f,POLY g) {
Line 193  static struct ecartReducer ecartFindReducer(POLY r,str
Line 210  static struct ecartReducer ecartFindReducer(POLY r,str
     }      }
   }    }
   
   if (DebugReductionRed || (DebugReductionEcart&1)) {    if ((DebugReductionRed&1) || (DebugReductionEcart&1)) {
     printf("ecartFindReducer(): ell1=%d, ell2=%d, minGrade=%d, minGseti=%d, minGgi=%d\n",ell1,ell2,minGrade,minGseti,minGgi);      printf("ecartFindReducer(): ell1=%d, ell2=%d, minGrade=%d, minGseti=%d, minGgi=%d\n",ell1,ell2,minGrade,minGseti,minGgi);
   }    }
     if (Sugar) {  /* experimental */
           if (ell1 <= ell2) {
             if (ell1 == LARGE) {
                   er.ell = -1;
                   return er;
             }else{
                   int new_s;
                   er.ell = ell1;
                   er.first = 1;
                   er.grade = minGrade;
                   er.gseti = minGseti;
                   /* reduce if and only if Ecart_sugarGrade does not increase. */
                   new_s = grade_gen(r)-grade_gen(gset->polys[minGrade]->gh[minGseti]);
                   if (new_s + minGrade <= Ecart_sugarGrade) {
                     return er;
                   }else{
                     printf("new_s=%d, minGrade=%d, sugarGrade=%d\n",new_s,minGrade,
                                    Ecart_sugarGrade);
                     er.ell = -1;
                     return er;
                   }
             }
           }else{
         er.ell = ell2;
         er.first = 0;
         er.ggi = minGgi;
             return er;
           }
     }
   
   if (ell1 <= ell2) {    if (ell1 <= ell2) {
     if (ell1 == LARGE) {      if (ell1 == LARGE) {
       er.ell = -1;        er.ell = -1;
Line 240  static POLY  ecartCheckSyz0(POLY cf,POLY r_0,POLY syz,
Line 287  static POLY  ecartCheckSyz0(POLY cf,POLY r_0,POLY syz,
   return f;    return f;
 }  }
   
   static void  ecartCheckSyz0_printinfo(POLY cf,POLY r_0,POLY syz,
                                         struct gradedPolySet *gg,POLY r)
   {
     POLY f;
     int grd,i;
     POLY q;
     struct coeff *c;
     fprintf(stderr,"cf=%s\n",POLYToString(cf,'*',1));
     fprintf(stderr,"r_0=%s\n",POLYToString(r_0,'*',1));
     fprintf(stderr,"syz=%s\n",POLYToString(syz,'*',1));
     fprintf(stderr,"r=%s\n",POLYToString(r,'*',1));
     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;
       }
           fprintf(stderr,"[grd,idx]=[%d,%d], %s\n",grd,i,
                           POLYToString(((gg->polys[grd])->g)[i],'*',1));
       /* f = ppAdd(f,ppMult(q,((gg->polys[grd])->g)[i])); */
       syz = syz->next;
     }
     /* f = ppSub(f,r); */
   }
   
   
 POLY reduction_ecart(r,gset,needSyz,syzp)  POLY reduction_ecart(r,gset,needSyz,syzp)
      POLY r;       POLY r;
      struct gradedPolySet *gset;       struct gradedPolySet *gset;
Line 297  static POLY reduction_ecart0(r,gset,needSyz,syzp)
Line 373  static POLY reduction_ecart0(r,gset,needSyz,syzp)
   POLY cf_o;    POLY cf_o;
   POLY syz_o;    POLY syz_o;
   POLY r_0;    POLY r_0;
     int se;
   struct coeff *cont;    struct coeff *cont;
   
   extern struct ring *CurrentRingp;    extern struct ring *CurrentRingp;
Line 321  static POLY reduction_ecart0(r,gset,needSyz,syzp)
Line 398  static POLY reduction_ecart0(r,gset,needSyz,syzp)
   
   if (DebugReductionEcart&1) printf("--------------------------------------\n");    if (DebugReductionEcart&1) printf("--------------------------------------\n");
   do {    do {
     if (DebugReductionRed) printf("r=%s\n",POLYToString(r,'*',1));      if (DebugReductionRed&1) printf("r=%s\n",POLYToString(r,'*',1));
     if (DebugReductionEcart & 1) printf("r=%s+...\n",POLYToString(head(r),'*',1));      if (DebugReductionEcart & 1) printf("r=%s+...\n",POLYToString(head(r),'*',1));
     ells = ecartFindReducer(r,gset,gg);      ells = ecartFindReducer(r,gset,gg);
     ell = ells.ell;      ell = ells.ell;
Line 340  static POLY reduction_ecart0(r,gset,needSyz,syzp)
Line 417  static POLY reduction_ecart0(r,gset,needSyz,syzp)
         if (DebugReductionEcart & 4) printf("#");          if (DebugReductionEcart & 4) printf("#");
         pp = (gg->pa)[ells.ggi];          pp = (gg->pa)[ells.ggi];
       }        }
       if (ell > 0) r = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */        if (ell > 0) r = ppMult(cxx(1,0,ell,rp),r); /* r = s^ell r */
       r = (*reduction1)(r,pp,needSyz,&cc,&cg);        r = (*reduction1)(r,pp,needSyz,&cc,&cg);
   
       if (DoCancel && (r != POLYNULL)) {        if (DoCancel && (r != POLYNULL)) {
Line 368  static POLY reduction_ecart0(r,gset,needSyz,syzp)
Line 445  static POLY reduction_ecart0(r,gset,needSyz,syzp)
           syz = ppAdd(syz,cpMult(toSyzCoeff(cg),syz_o));            syz = ppAdd(syz,cpMult(toSyzCoeff(cg),syz_o));
           /* Note. 2003.07.19 */            /* Note. 2003.07.19 */
         }          }
         if (DebugReductionRed) {          if (DebugReductionRed && needSyz) {
           POLY tp;            POLY tp;
           tp = ecartCheckSyz0(cf,r_0,syz,gset,r);            tp = ecartCheckSyz0(cf,r_0,syz,gset,r);
           if (tp != POLYNULL) {            if (tp != POLYNULL) {
             fprintf(stderr,"reduction_ecart0(): sygyzy is broken. Return the Current values.\n");              fprintf(stderr,"reduction_ecart0(): sygyzy is broken. Return the Current values.\n");
             fprintf(stderr,"%s\n",POLYToString(tp,'*',1));              fprintf(stderr,"tp=%s\n",POLYToString(tp,'*',1));
                           ecartCheckSyz0_printinfo(cf,r_0,syz,gset,r);
             syzp->cf = cf;              syzp->cf = cf;
             syzp->syz = syz;              syzp->syz = syz;
             return r;              return r;
Line 381  static POLY reduction_ecart0(r,gset,needSyz,syzp)
Line 459  static POLY reduction_ecart0(r,gset,needSyz,syzp)
         }          }
       }        }
       if (r ISZERO) goto ss;        if (r ISZERO) goto ss;
       /*r = ecartDivideSv(r,&se); r = r/s^? Don't do this. */  
         /* r = r/s^? Don't do this?? */
         r = ecartDivideSv(r,&se);
             if (needSyz && (se > 0)) {
                   POLY tt;
                   tt = cxx(1,0,-se,rp);
                   cf = ppMult(tt,cf);
                   syz = cpMult(toSyzCoeff(tt),syz);
             }
   
     }      }
   }while (ell >= 0);    }while (ell >= 0);
   
  ss: ;   ss: ;
   if (needSyz) {    if (needSyz) {
     syzp->cf = cf;   /* cf is in the CurrentRingp */      syzp->cf = cf;   /* cf is in the ring of r */
     syzp->syz = syz; /* syz is in the SyzRingp */      syzp->syz = syz; /* syz is in the syzRing of r */
   }    }
   
   if (DoCancel && (r != POLYNULL)) {    if (DoCancel && (r != POLYNULL)) {
Line 427  static POLY reduction_ecart1(r,gset,needSyz,syzp)
Line 514  static POLY reduction_ecart1(r,gset,needSyz,syzp)
   POLY cf_o;    POLY cf_o;
   POLY syz_o;    POLY syz_o;
   POLY r_0;    POLY r_0;
     POLY r0;
   int se;    int se;
   struct coeff *cont;    struct coeff *cont;
   
Line 455  static POLY reduction_ecart1(r,gset,needSyz,syzp)
Line 543  static POLY reduction_ecart1(r,gset,needSyz,syzp)
   
   if (DebugReductionEcart&1) printf("=======================================\n");    if (DebugReductionEcart&1) printf("=======================================\n");
   do {    do {
     if (DebugReductionRed) printf("(ecart1(d)) r=%s\n",POLYToString(r,'*',1));      if (DebugReductionRed & 1) printf("(ecart1(d)) r=%s\n",POLYToString(r,'*',1));
     if (DebugReductionEcart & 1) printf("r=%s+,,,\n",POLYToString(head(r),'*',1));      if (DebugReductionEcart & 1) printf("r=%s+,,,\n",POLYToString(head(r),'*',1));
   
     ells = ecartFindReducer(r,gset,gg);      ells = ecartFindReducer(r,gset,gg);
     ell = ells.ell;      ell = ells.ell;
     if (ell > 0) {      if (ell > 0) {
       if (DebugReductionEcart & 2) printf("%");        if (DebugReductionEcart & 2) printf("%");
           if (needSyz) {        if (needSyz) {
                 gg = ecartPutPolyInG(r,gg,cf,syz);          gg = ecartPutPolyInG(r,gg,cf,syz);
           }else{        }else{
                 gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL);          gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL);
           }        }
     }      }
     if (ell >= 0) {      if (ell >= 0) {
       if (ells.first) {        if (ells.first) {
Line 475  static POLY reduction_ecart1(r,gset,needSyz,syzp)
Line 563  static POLY reduction_ecart1(r,gset,needSyz,syzp)
         if (DebugReductionEcart & 4) {printf("+"); fflush(NULL);}          if (DebugReductionEcart & 4) {printf("+"); fflush(NULL);}
         pp = (gg->pa)[ells.ggi];          pp = (gg->pa)[ells.ggi];
       }        }
       if (ell > 0) r = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */        if (ell > 0) r = ppMult(cxx(1,0,ell,rp),r); /* r = s^ell r */
             r0 = r;
       r = (*reduction1)(r,pp,needSyz,&cc,&cg);        r = (*reduction1)(r,pp,needSyz,&cc,&cg);
         if (DebugReductionEcart & 8) {
           if (ell > 0) {printf("ell+ "); fflush(NULL);
           }else {
                     printf("ell0 "); fflush(NULL);
             if ((*mmLarger)(r,r0) >= 1) {
               printf("error in reduction.");
               printf("   r0=%s\n",POLYToString(r0,'*',1));
               printf("==>r=%s\n",POLYToString(r,'*',1));
               getchar(); getchar();
             }
           }
         }
   
       if (DoCancel && (r != POLYNULL)) {        if (DoCancel && (r != POLYNULL)) {
         if (shouldReduceContent(r,0)) {          if (shouldReduceContent(r,0)) {
Line 488  static POLY reduction_ecart1(r,gset,needSyz,syzp)
Line 589  static POLY reduction_ecart1(r,gset,needSyz,syzp)
   
       if (needSyz) {        if (needSyz) {
         if (ells.first) {          if (ells.first) {
                   if (ell > 0) cc = ppMult(cc,cxx(1,0,ell,rp));            if (ell > 0) cc = ppMult(cc,cxx(1,0,ell,rp));
           cf = ppMult(cc,cf);            cf = ppMult(cc,cf);
           syz = cpMult(toSyzCoeff(cc),syz);            syz = cpMult(toSyzCoeff(cc),syz);
           syz = ppAddv(syz,toSyzPoly(cg,ells.grade,ells.gseti));            syz = ppAdd(syz,toSyzPoly(cg,ells.grade,ells.gseti));
         }else{          }else{
           if (ell >0) cc = ppMult(cc,cxx(1,0,ell,rp));            if (ell >0) cc = ppMult(cc,cxx(1,0,ell,rp));
           cf_o = (gg->cf)[ells.ggi];            cf_o = (gg->cf)[ells.ggi];
Line 504  static POLY reduction_ecart1(r,gset,needSyz,syzp)
Line 605  static POLY reduction_ecart1(r,gset,needSyz,syzp)
         }          }
       }        }
   
       if (DebugReductionRed) {        if (DebugReductionRed && needSyz) {
         POLY tp;          POLY tp;
         tp = ecartCheckSyz0(cf,r_0,syz,gset,r);          tp = ecartCheckSyz0(cf,r_0,syz,gset,r);
                 tp = goDeHomogenizeS(tp);          tp = goDeHomogenizeS(tp);
         if (tp != POLYNULL) {          if (tp != POLYNULL) {
           fprintf(stderr,"reduction_ecart1(): sygyzy is broken. Return the Current values.\n");            fprintf(stderr,"Error: reduction_ecart1(): sygyzy is broken. Return the Current values.\n");
           fprintf(stderr,"%s\n",POLYToString(tp,'*',1));            fprintf(stderr,"%s\n",POLYToString(tp,'*',1));
           syzp->cf = cf;            syzp->cf = cf;
           syzp->syz = syz;            syzp->syz = syz;
Line 519  static POLY reduction_ecart1(r,gset,needSyz,syzp)
Line 620  static POLY reduction_ecart1(r,gset,needSyz,syzp)
   
       if (r ISZERO) goto ss1;        if (r ISZERO) goto ss1;
       r = ecartDivideSv(r,&se); /* r = r/s^? */        r = ecartDivideSv(r,&se); /* r = r/s^? */
   
         if (needSyz && (se > 0)) { /* It may not necessary because of dehomo*/
           POLY tt;
           /*printf("!1/H!"); fflush(NULL);*/ /* misc-2003/ecart/t1.sm1 foo4 */
           tt = cxx(1,0,-se,rp);
           cf = ppMult(tt,cf);
           syz = cpMult(toSyzCoeff(tt),syz);
         }
   
         /* For debug */
         if (DebugReductionRed && needSyz) {
           POLY tp;
           tp = ecartCheckSyz0(cf,r_0,syz,gset,r);
           tp = goDeHomogenizeS(tp);
           if (tp != POLYNULL) {
             fprintf(stderr,"Error: reduction_ecart1() after divide: sygyzy is broken. Return the Current values.\n");
             fprintf(stderr,"%s\n",POLYToString(tp,'*',1));
             syzp->cf = cf;
             syzp->syz = syz;
             return r;
           }
         }
   
     }      }
   }while (ell >= 0);    }while (ell >= 0);
   
  ss1: ;   ss1: ;
   if (needSyz) {    if (needSyz) {
     /* dehomogenize the syzygy. BUG, this may be inefficient.  */      /* dehomogenize the syzygy. BUG, this may be inefficient.  */
         cf = goDeHomogenizeS(cf);      cf = goDeHomogenizeS(cf);
         syz = goDeHomogenizeS(syz);      syz = goDeHomogenizeS(syz);
         /*printf("cf=%s\n",POLYToString(cf,'*',1));      /*printf("cf=%s\n",POLYToString(cf,'*',1));
           printf("syz=%s\n",POLYToString(syz,'*',1));*/        printf("syz=%s\n",POLYToString(syz,'*',1));*/
     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 */
   }    }
Line 536  static POLY reduction_ecart1(r,gset,needSyz,syzp)
Line 660  static POLY reduction_ecart1(r,gset,needSyz,syzp)
   r = goDeHomogenizeS(r);    r = goDeHomogenizeS(r);
   if (DoCancel && (r != POLYNULL)) {    if (DoCancel && (r != POLYNULL)) {
     if (r->m->ringp->p == 0) {      if (r->m->ringp->p == 0) {
           r = reduceContentOfPoly(r,&cont);        r = reduceContentOfPoly(r,&cont);
           if (DebugReductionEcart || DebugReductionRed || DebugContentReduction) printf("cont=%s ",coeffToString(cont));        if (DebugReductionEcart || DebugReductionRed || DebugContentReduction) printf("cont=%s ",coeffToString(cont));
     }      }
   }    }
   
     /* For debug */
     if (DebugReductionRed && needSyz) {
       POLY tp;
       tp = ecartCheckSyz0(cf,r_0,syz,gset,r);
       tp = goDeHomogenizeS(tp);
       if (tp != POLYNULL) {
         fprintf(stderr,"Error: reduction_ecart1() last step: sygyzy is broken. Return the Current values.\n");
         fprintf(stderr,"%s\n",POLYToString(tp,'*',1));
         syzp->cf = cf;
         syzp->syz = syz;
         return r;
       }
     }
   
   return(r);    return(r);
 }  }
   
Line 598  static struct ecartReducer ecartFindReducer_mod(POLY r
Line 736  static struct ecartReducer ecartFindReducer_mod(POLY r
     }      }
   }    }
   
   if (DebugReductionRed || (DebugReductionEcart&1)) {    if ((DebugReductionRed & 1)|| (DebugReductionEcart&1)) {
     printf("ecartFindReducer_mod(): ell1=%d, ell2=%d, minGrade=%d, minGseti=%d, minGgi=%d, p=%d\n",ell1,ell2,minGrade,minGseti,minGgi,TraceLift_ringmod->p);      printf("ecartFindReducer_mod(): ell1=%d, ell2=%d, minGrade=%d, minGseti=%d, minGgi=%d, p=%d\n",ell1,ell2,minGrade,minGseti,minGgi,TraceLift_ringmod->p);
   }    }
   if (ell1 <= ell2) {    if (ell1 <= ell2) {
Line 632  static POLY reduction_ecart1_mod(r,gset)
Line 770  static POLY reduction_ecart1_mod(r,gset)
   struct ecartReducer ells;    struct ecartReducer ells;
   struct ecartPolyArray *gg;    struct ecartPolyArray *gg;
   POLY pp;    POLY pp;
     POLY r0;
   int ell;    int ell;
   int se;    int se;
   
Line 653  static POLY reduction_ecart1_mod(r,gset)
Line 792  static POLY reduction_ecart1_mod(r,gset)
         KshowRing(TraceLift_ringmod); **/          KshowRing(TraceLift_ringmod); **/
   
   r = modulop(r,TraceLift_ringmod);    r = modulop(r,TraceLift_ringmod);
   rp = r->m->ringp; /* reset rp */    if (r != POLYNULL) rp = r->m->ringp; /* reset rp */
   
   /* printf("r=%s (mod p)\n",POLYToString(head(r),'*',1)); **/    /* printf("r=%s (mod p)\n",POLYToString(head(r),'*',1)); **/
   
   if (DebugReductionEcart&1) printf("=====================================mod\n");    if (DebugReductionEcart&1) printf("=====================================mod\n");
   do {    do {
     if (DebugReductionRed) printf("(ecart1_mod(d)) r=%s\n",POLYToString(r,'*',1));      if (DebugReductionRed & 1) printf("(ecart1_mod(d)) r=%s\n",POLYToString(r,'*',1));
     if (DebugReductionEcart & 1) printf("r=%s+,,,\n",POLYToString(head(r),'*',1));      if (DebugReductionEcart & 1) printf("r=%s+,,,\n",POLYToString(head(r),'*',1));
   
     ells = ecartFindReducer_mod(r,gset,gg);      ells = ecartFindReducer_mod(r,gset,gg);
Line 675  static POLY reduction_ecart1_mod(r,gset)
Line 814  static POLY reduction_ecart1_mod(r,gset)
         if (DebugReductionEcart & 4) {printf("+"); fflush(NULL);}          if (DebugReductionEcart & 4) {printf("+"); fflush(NULL);}
         pp = (gg->pa)[ells.ggi];          pp = (gg->pa)[ells.ggi];
       }        }
       if (ell > 0) r = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */        if (ell > 0) r = ppMult(cxx(1,0,ell,rp),r); /* r = s^ell r */
   
             r0 = r;
       r = (*reduction1)(r,pp,0,&cc,&cg);        r = (*reduction1)(r,pp,0,&cc,&cg);
   
         if (DebugReductionEcart & 8) {
           if (ell > 0) {printf("ell+ "); fflush(NULL);
           }else {
                     printf("ell0 "); fflush(NULL);
             if ((*mmLarger)(r,r0) >= 1) {
               printf("error in reduction.");
               printf("   r0=%s\n",POLYToString(r0,'*',1));
               printf("==>r=%s\n",POLYToString(r,'*',1));
               getchar(); getchar();
             }
           }
         }
   
       if (r ISZERO) goto ss1;        if (r ISZERO) goto ss1;
       r = ecartDivideSv(r,&se); /* r = r/s^? */        r = ecartDivideSv(r,&se); /* r = r/s^? */
     }      }
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  Added in v.1.19
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