version 1.5, 2003/07/19 06:03:57 |
version 1.11, 2003/08/21 02:30:23 |
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/* $OpenXM: OpenXM/src/kan96xx/Kan/ecart.c,v 1.4 2003/07/17 23:47:44 takayama Exp $ */ |
/* $OpenXM: OpenXM/src/kan96xx/Kan/ecart.c,v 1.10 2003/08/20 05:18:35 takayama Exp $ */ |
#include <stdio.h> |
#include <stdio.h> |
#include "datatype.h" |
#include "datatype.h" |
#include "extern2.h" |
#include "extern2.h" |
Line 21 struct ecartPolyArray { |
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Line 21 struct ecartPolyArray { |
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}; |
}; |
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static struct ecartReducer ecartFindReducer(POLY r,struct gradedPolySet *gset,struct ecartPolyArray *epa); |
static struct ecartReducer ecartFindReducer(POLY r,struct gradedPolySet *gset,struct ecartPolyArray *epa); |
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static struct ecartReducer ecartFindReducer_mod(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,POLY cf, POLY syz); |
static struct ecartPolyArray *ecartPutPolyInG(POLY g,struct ecartPolyArray *eparray,POLY cf, POLY syz); |
Line 32 static POLY reduction_ecart0(POLY r,struct gradedPolyS |
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Line 33 static POLY reduction_ecart0(POLY r,struct gradedPolyS |
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/* Automatic homogenization and s->1 */ |
/* Automatic homogenization and s->1 */ |
static POLY reduction_ecart1(POLY r,struct gradedPolySet *gset, |
static POLY reduction_ecart1(POLY r,struct gradedPolySet *gset, |
int needSyz, struct syz0 *syzp); |
int needSyz, struct syz0 *syzp); |
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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); |
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extern int DebugReductionRed; |
extern int DebugReductionRed; |
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extern int TraceLift; |
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struct ring *TraceLift_ringmod; |
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extern DoCancel; |
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int DebugReductionEcart = 0; |
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extern DebugContentReduction; |
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/* This is used for goHomogenization */ |
/* This is used for goHomogenization */ |
extern int DegreeShifto_size; |
extern int DegreeShifto_size; |
Line 186 static struct ecartReducer ecartFindReducer(POLY r,str |
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Line 193 static struct ecartReducer ecartFindReducer(POLY r,str |
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} |
} |
} |
} |
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if (DebugReductionRed) { |
if (DebugReductionRed || (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 (ell1 <= ell2) { |
if (ell1 <= ell2) { |
Line 240 POLY reduction_ecart(r,gset,needSyz,syzp) |
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Line 247 POLY reduction_ecart(r,gset,needSyz,syzp) |
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int needSyz; |
int needSyz; |
struct syz0 *syzp; /* set */ |
struct syz0 *syzp; /* set */ |
{ |
{ |
if (EcartAutomaticHomogenization) { |
POLY rn; |
return reduction_ecart1(r,gset,needSyz,syzp); |
if (TraceLift) { |
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if (EcartAutomaticHomogenization) { |
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if (TraceLift_ringmod == NULL) { |
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warningPoly("reduction_ecart: TraceLift_ringmod is not set.\n"); |
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return reduction_ecart1(r,gset,needSyz,syzp); |
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} |
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rn = reduction_ecart1_mod(r,gset); /* BUG: syzygy is not obtained. */ |
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if (rn == POLYNULL) return rn; |
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else return reduction_ecart1(r,gset,needSyz,syzp); |
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}else{ |
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return reduction_ecart0(r,gset,needSyz,syzp); |
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} |
}else{ |
}else{ |
return reduction_ecart0(r,gset,needSyz,syzp); |
if (EcartAutomaticHomogenization) { |
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return reduction_ecart1(r,gset,needSyz,syzp); |
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}else{ |
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return reduction_ecart0(r,gset,needSyz,syzp); |
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} |
} |
} |
} |
} |
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Line 290 static POLY reduction_ecart0(r,gset,needSyz,syzp) |
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Line 312 static POLY reduction_ecart0(r,gset,needSyz,syzp) |
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} |
} |
} |
} |
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if (DebugReductionEcart&1) printf("--------------------------------------\n"); |
do { |
do { |
if (DebugReductionRed) printf("r=%s\n",POLYToString(r,'*',1)); |
if (DebugReductionRed) printf("r=%s\n",POLYToString(r,'*',1)); |
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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) { |
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if (DebugReductionEcart & 2) printf("*"); |
if (needSyz) { |
if (needSyz) { |
gg = ecartPutPolyInG(r,gg,cf,syz); |
gg = ecartPutPolyInG(r,gg,cf,syz); |
}else{ |
}else{ |
Line 305 static POLY reduction_ecart0(r,gset,needSyz,syzp) |
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Line 330 static POLY reduction_ecart0(r,gset,needSyz,syzp) |
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if (ells.first) { |
if (ells.first) { |
pp = ((gset->polys[ells.grade])->gh)[ells.gseti]; |
pp = ((gset->polys[ells.grade])->gh)[ells.gseti]; |
}else{ |
}else{ |
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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 = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */ |
Line 323 static POLY reduction_ecart0(r,gset,needSyz,syzp) |
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Line 349 static POLY reduction_ecart0(r,gset,needSyz,syzp) |
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cf = ppAdd(cf,ppMult(cg,cf_o)); |
cf = ppAdd(cf,ppMult(cg,cf_o)); |
syz = cpMult(toSyzCoeff(cc),syz); |
syz = cpMult(toSyzCoeff(cc),syz); |
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) { |
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,"%s\n",POLYToString(tp,'*',1)); |
syzp->cf = cf; |
syzp->cf = cf; |
syzp->syz = syz; |
syzp->syz = syz; |
return r; |
return r; |
} |
} |
} |
} |
} |
} |
if (r ISZERO) goto ss; |
if (r ISZERO) goto ss; |
Line 375 static POLY reduction_ecart1(r,gset,needSyz,syzp) |
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Line 401 static POLY reduction_ecart1(r,gset,needSyz,syzp) |
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POLY pp; |
POLY pp; |
int ell; |
int ell; |
int se; |
int se; |
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struct coeff *cont; |
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extern struct ring *CurrentRingp; |
extern struct ring *CurrentRingp; |
struct ring *rp; |
struct ring *rp; |
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extern struct ring *SmallRingp; |
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gg = NULL; |
gg = NULL; |
if (needSyz) { |
if (needSyz) { |
Line 395 static POLY reduction_ecart1(r,gset,needSyz,syzp) |
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Line 423 static POLY reduction_ecart1(r,gset,needSyz,syzp) |
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r = goHomogenize11(r,DegreeShifto_vec,DegreeShifto_size,-1,1); |
r = goHomogenize11(r,DegreeShifto_vec,DegreeShifto_size,-1,1); |
/* 1 means homogenize only s */ |
/* 1 means homogenize only s */ |
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if (DoCancel && (r != POLYNULL)) shouldReduceContent(r,1); |
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if (DebugReductionEcart&1) printf("=======================================\n"); |
do { |
do { |
if (DebugReductionRed) printf("r=%s\n",POLYToString(r,'*',1)); |
if (DebugReductionRed) printf("(ecart1(d)) r=%s\n",POLYToString(r,'*',1)); |
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if (DebugReductionEcart & 1) printf("r=%s+,,,\n",POLYToString(head(r),'*',1)); |
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ells = ecartFindReducer(r,gset,gg); |
ells = ecartFindReducer(r,gset,gg); |
ell = ells.ell; |
ell = ells.ell; |
if (ell > 0) { |
if (ell > 0) { |
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if (DebugReductionEcart & 2) printf("%"); |
gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL); |
gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL); |
} |
} |
if (ell >= 0) { |
if (ell >= 0) { |
if (ells.first) { |
if (ells.first) { |
pp = ((gset->polys[ells.grade])->gh)[ells.gseti]; |
pp = ((gset->polys[ells.grade])->gh)[ells.gseti]; |
}else{ |
}else{ |
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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 = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */ |
r = (*reduction1)(r,pp,needSyz,&cc,&cg); |
r = (*reduction1)(r,pp,needSyz,&cc,&cg); |
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if (DoCancel && (r != POLYNULL)) { /* BUG: syzygy should be corrected. */ |
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if (shouldReduceContent(r,0)) { |
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r = reduceContentOfPoly(r,&cont); |
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shouldReduceContent(r,1); |
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if (DebugReductionEcart || DebugReductionRed || DebugContentReduction) printf("CONT=%s ",coeffToString(cont)); |
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} |
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} |
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if (needSyz) { |
if (needSyz) { |
if (ells.first) { |
if (ells.first) { |
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 = ppAddv(syz,toSyzPoly(cg,ells.grade,ells.gseti)); |
}else{ |
}else{ |
fprintf(stderr,"It has not yet implemented.\n"); |
fprintf(stderr,"It has not yet implemented.\n"); |
exit(10); |
exit(10); |
/* BUG: not yet */ |
/* BUG: not yet */ |
} |
} |
} |
} |
Line 432 static POLY reduction_ecart1(r,gset,needSyz,syzp) |
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Line 475 static POLY reduction_ecart1(r,gset,needSyz,syzp) |
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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"); |
fprintf(stderr,"It has not yet implemented.\n"); |
exit(10); |
exit(10); |
} |
} |
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r = goDeHomogenizeS(r); |
r = goDeHomogenizeS(r); |
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if (DoCancel && (r != POLYNULL)) { /* BUG: syzygy should be corrected. */ |
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if (r->m->ringp->p == 0) { |
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r = reduceContentOfPoly(r,&cont); |
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if (DebugReductionEcart || DebugReductionRed || DebugContentReduction) printf("cont=%s ",coeffToString(cont)); |
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} |
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} |
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return(r); |
return(r); |
} |
} |
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/* Functions for trace lift */ |
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static struct ecartReducer ecartFindReducer_mod(POLY r, |
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struct gradedPolySet *gset, |
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struct ecartPolyArray *epa) |
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{ |
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int grd; |
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struct polySet *set; |
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int minGrade = 0; |
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int minGseti = 0; |
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int minGgi = 0; |
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int ell1 = LARGE; |
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int ell2 = LARGE; |
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int ell; |
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int i; |
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struct ecartReducer er; |
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/* Try to find a reducer in gset; */ |
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grd = 0; |
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while (grd < gset->maxGrade) { |
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set = gset->polys[grd]; |
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for (i=0; i<set->size; i++) { |
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if (set->gh[i] == POLYNULL) { |
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/* goHomogenize set->gh[i] */ |
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if (EcartAutomaticHomogenization) { |
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set->gh[i] = goHomogenize11(set->g[i],DegreeShifto_vec,DegreeShifto_size,-1,1); |
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}else{ |
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set->gh[i] = set->g[i]; |
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} |
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} |
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if (TraceLift && (set->gmod[i] == POLYNULL)) { |
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set->gmod[i] = modulop(set->gh[i],TraceLift_ringmod); |
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} |
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if (TraceLift) { |
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ell = ecartGetEll(r,set->gmod[i]); |
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}else{ |
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ell = ecartGetEll(r,set->gh[i]); |
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} |
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if ((ell>=0) && (ell < ell1)) { |
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ell1 = ell; |
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minGrade = grd; minGseti=i; |
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} |
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} |
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grd++; |
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} |
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if (epa != NULL) { |
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/* Try to find in the second group. */ |
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for (i=0; i< epa->size; i++) { |
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ell = ecartGetEll(r,(epa->pa)[i]); |
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if ((ell>=0) && (ell < ell2)) { |
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ell2 = ell; |
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minGgi = i; |
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} |
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} |
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} |
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if (DebugReductionRed || (DebugReductionEcart&1)) { |
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printf("ecartFindReducer_mod(): ell1=%d, ell2=%d, minGrade=%d, minGseti=%d, minGgi=%d, p=%d\n",ell1,ell2,minGrade,minGseti,minGgi,TraceLift_ringmod->p); |
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} |
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if (ell1 <= ell2) { |
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if (ell1 == LARGE) { |
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er.ell = -1; |
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return er; |
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}else{ |
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er.ell = ell1; |
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er.first = 1; |
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er.grade = minGrade; |
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er.gseti = minGseti; |
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return er; |
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} |
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}else{ |
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er.ell = ell2; |
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er.first = 0; |
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er.ggi = minGgi; |
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return er; |
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} |
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} |
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static POLY reduction_ecart1_mod(r,gset) |
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POLY r; |
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struct gradedPolySet *gset; |
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{ |
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int reduced,reduced1,reduced2; |
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int grd; |
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struct polySet *set; |
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int i; |
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POLY cc,cg; |
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struct ecartReducer ells; |
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struct ecartPolyArray *gg; |
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POLY pp; |
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int ell; |
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int se; |
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extern struct ring *CurrentRingp; |
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struct ring *rp; |
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gg = NULL; |
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if (r != POLYNULL) { |
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rp = r->m->ringp; |
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if (! rp->weightedHomogenization) { |
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errorKan1("%s\n","ecart.c: the given ring must be declared with [(weightedHomogenization) 1]"); |
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} |
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} |
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r = goHomogenize11(r,DegreeShifto_vec,DegreeShifto_size,-1,1); |
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/* 1 means homogenize only s */ |
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/*printf("r=%s (mod 0)\n",POLYToString(head(r),'*',1)); |
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KshowRing(TraceLift_ringmod); **/ |
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r = modulop(r,TraceLift_ringmod); |
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rp = r->m->ringp; /* reset rp */ |
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/* printf("r=%s (mod p)\n",POLYToString(head(r),'*',1)); **/ |
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if (DebugReductionEcart&1) printf("=====================================mod\n"); |
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do { |
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if (DebugReductionRed) printf("(ecart1_mod(d)) r=%s\n",POLYToString(r,'*',1)); |
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if (DebugReductionEcart & 1) printf("r=%s+,,,\n",POLYToString(head(r),'*',1)); |
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ells = ecartFindReducer_mod(r,gset,gg); |
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ell = ells.ell; |
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if (ell > 0) { |
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if (DebugReductionEcart & 2) printf("%"); |
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gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL); |
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} |
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if (ell >= 0) { |
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if (ells.first) { |
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pp = ((gset->polys[ells.grade])->gmod)[ells.gseti]; |
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}else{ |
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if (DebugReductionEcart & 4) {printf("+"); fflush(NULL);} |
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pp = (gg->pa)[ells.ggi]; |
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} |
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if (ell > 0) r = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */ |
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r = (*reduction1)(r,pp,0,&cc,&cg); |
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if (r ISZERO) goto ss1; |
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r = ecartDivideSv(r,&se); /* r = r/s^? */ |
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} |
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}while (ell >= 0); |
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ss1: ; |
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r = goDeHomogenizeS(r); |
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return(r); |
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} |
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