version 1.5, 2001/05/04 01:06:23 |
version 1.12, 2005/06/30 08:35:07 |
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/* $OpenXM: OpenXM/src/kan96xx/Kan/gb.c,v 1.4 2000/03/15 01:31:17 takayama Exp $ */ |
/* $OpenXM: OpenXM/src/kan96xx/Kan/gb.c,v 1.11 2005/06/16 08:40:04 takayama Exp $ */ |
/* untabify on May 4, 2001 */ |
/* untabify on May 4, 2001 */ |
#include <stdio.h> |
#include <stdio.h> |
#include "datatype.h" |
#include "datatype.h" |
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#define INITGRADE 4 |
#define INITGRADE 4 |
#define INITSIZE 2 |
#define INITSIZE 2 |
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#define DMAX 100 |
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int KanGBmessage = 1; |
int KanGBmessage = 1; |
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Line 22 extern int UseCriterion2B; |
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Line 23 extern int UseCriterion2B; |
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extern int Spairs; |
extern int Spairs; |
extern int Criterion2B, Criterion2F, Criterion2M; |
extern int Criterion2B, Criterion2F, Criterion2M; |
extern int AutoReduce; |
extern int AutoReduce; |
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extern int TraceLift; |
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extern struct ring *TraceLift_ringmod; |
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static int MaxLength[DMAX]; |
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static int SpNumber[DMAX]; |
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struct gradedPairs *updatePairs(grD,gt,gtGrade,t,grG) |
struct gradedPairs *updatePairs(grD,gt,gtGrade,t,grG) |
struct gradedPairs *grD; /* set of pairs */ |
struct gradedPairs *grD; /* set of pairs */ |
POLY gt; /* new polynomial */ |
POLY gt; /* new polynomial */ |
Line 158 struct gradedPairs *updatePairs(grD,gt,gtGrade,t,grG) |
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Line 162 struct gradedPairs *updatePairs(grD,gt,gtGrade,t,grG) |
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return(grD); |
return(grD); |
} |
} |
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struct gradedPolySet *groebner_gen(f,needBack,needSyz,grP,countDown,forceReduction) |
struct gradedPolySet *groebner_gen(f,needBack,needSyz,grP,countDown,forceReduction,reduceOnly,gbCheck) |
struct arrayOfPOLY *f; |
struct arrayOfPOLY *f; |
int needBack; |
int needBack; |
int needSyz; |
int needSyz; |
struct pair **grP; /* if (needSyz), it is set. */ |
struct pair **grP; /* if (needSyz), it is set. */ |
int countDown; |
int countDown; |
int forceReduction; |
int forceReduction; |
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int reduceOnly; |
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int gbCheck; |
{ |
{ |
int r; |
int r; |
struct gradedPolySet *g; |
struct gradedPolySet *g; |
Line 190 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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Line 196 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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extern struct ring *CurrentRingp; |
extern struct ring *CurrentRingp; |
extern char *F_mpMult; |
extern char *F_mpMult; |
struct ring *rp; |
struct ring *rp; |
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int first; |
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int statisticsPL, statisticsCount; |
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if (KanGBmessage) { |
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printf("countDown=%d, forceReduction=%d, reduceOnly=%d, gbCheck=%d\n", |
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countDown, forceReduction, reduceOnly, gbCheck); |
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} |
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if (Statistics) { |
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for (i=0; i<DMAX; i++) MaxLength[i] = SpNumber[i] = 0; |
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} |
r = f->n; |
r = f->n; |
if (r<=0) return((struct gradedPolySet *)NULL); |
if (r<=0) return((struct gradedPolySet *)NULL); |
if (UseCriterion1) { |
if (UseCriterion1) { |
Line 204 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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Line 219 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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Spairs = Criterion1 = Criterion2B = Criterion2F = Criterion2M = 0; |
Spairs = Criterion1 = Criterion2B = Criterion2F = Criterion2M = 0; |
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g = newGradedPolySet(INITGRADE); |
g = newGradedPolySet(INITGRADE); g->gb = 1; |
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if (reduceOnly) g->gb = 2; /* unknown */ |
d = newGradedPairs(INITGRADE*2); |
d = newGradedPairs(INITGRADE*2); |
for (i=0; i<g->lim; i++) { |
for (i=0; i<g->lim; i++) { |
g->polys[i] = newPolySet(INITSIZE); |
g->polys[i] = newPolySet(INITSIZE); |
} |
} |
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first = 1; |
for (i=0; i<r; i++) { |
for (i=0; i<r; i++) { |
gt = getArrayOfPOLY(f,i); |
gt = getArrayOfPOLY(f,i); |
if (gt ISZERO) { rp = CurrentRingp; } else { rp = gt->m->ringp; } |
if (gt ISZERO) { rp = CurrentRingp; } else { rp = gt->m->ringp; } |
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if (TraceLift && (!(gt ISZERO)) && first) { |
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TraceLift_ringmod = newRingOverFp(rp,getPrime(TraceLift)); first = 0; |
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if (KanGBmessage) printf("Prime number for the trace lift is %d.\n", |
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TraceLift_ringmod->p); |
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} |
grade = -1; whereInG(g,gt,&grade,&indx,Sugar); |
grade = -1; whereInG(g,gt,&grade,&indx,Sugar); |
if (KanGBmessage == 2) { |
if (KanGBmessage == 2) { |
printf("init=%s, ",POLYToString(head(gt),'*',1)); |
printf("init=%s, ",POLYToString(head(gt),'*',1)); |
Line 230 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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Line 252 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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g = putPolyInG(g,gt,grade,indx,syzp,1,serial); |
g = putPolyInG(g,gt,grade,indx,syzp,1,serial); |
} |
} |
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markRedundant0(g,grade,indx); |
/* markRedundant0(g,grade,indx); ?*/ |
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markGeneratorInG(g,grade,indx); /*?*/ |
if (Debug) { |
if (Debug) { |
outputGradedPairs(d); outputGradedPolySet(g,needSyz); |
outputGradedPairs(d); outputGradedPolySet(g,needSyz); |
} |
} |
Line 243 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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Line 266 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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while ((top = getPair(d)) != (struct pair *)NULL) { |
while ((top = getPair(d)) != (struct pair *)NULL) { |
ig = top->ig; ii = top->ii; /* [ig,ii] */ |
ig = top->ig; ii = top->ii; /* [ig,ii] */ |
jg = top->jg; ji = top->ji; /* [jg,ji] */ |
jg = top->jg; ji = top->ji; /* [jg,ji] */ |
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/* |
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if (g->polys[ig]->del[ii] || g->polys[jg]->del[ji]) { |
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if (KanGBmessage) printf("p"); |
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continue; |
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} Don't do this. |
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*/ |
gi = g->polys[ig]->g[ii]; |
gi = g->polys[ig]->g[ii]; |
gj = g->polys[jg]->g[ji]; |
gj = g->polys[jg]->g[ji]; |
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Spairs++; |
Spairs++; |
h = (*sp)(gi,gj); |
if (reduceOnly && (!needSyz) && (!needBack)) h = spZero(); /* rd = 0 */ |
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else h = (*sp)(gi,gj); |
rd = ppAddv(ppMult(h.a,gi),ppMult(h.b,gj)); |
rd = ppAddv(ppMult(h.a,gi),ppMult(h.b,gj)); |
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if (Statistics) { |
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if (top->grade >=0 && top->grade < DMAX) { |
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statisticsPL = pLength(rd); |
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SpNumber[top->grade]++; |
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if (MaxLength[top->grade] < statisticsPL) { |
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MaxLength[top->grade] = statisticsPL; |
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} |
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} |
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} |
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if (!Sugar || forceReduction) { |
if (!Sugar || forceReduction) { |
rd = (*reduction)(rd,g,needBack,&syz); |
rd = (*reduction)(rd,g,needBack,&syz); |
}else{ |
}else{ |
Line 281 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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Line 322 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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} |
} |
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if (!(rd ISZERO)) { |
if (!(rd ISZERO)) { |
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if (gbCheck) { |
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/* Abort the calculation. */ |
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g->gb = 0; |
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if (KanGBmessage) { |
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printf("gbCheck failed. \n"); |
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printf("Note that the result is NOT groebner basis.\n"); |
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} |
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break; |
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} |
if (needBack || needSyz) { |
if (needBack || needSyz) { |
syzp = newSyz0(); |
syzp = newSyz0(); |
syzp->cf = syzCf; /* no meaning */ |
syzp->cf = syzCf; /* no meaning */ |
Line 320 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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Line 370 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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if (countDown == 0) { |
if (countDown == 0) { |
printf("\nThe computation of the Groebner basis is suspended because of countDown==0.\n"); |
printf("\nThe computation of the Groebner basis is suspended because of countDown==0.\n"); |
printf("Note that the result is NOT groebner basis.\n"); |
printf("Note that the result is NOT groebner basis.\n"); |
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g->gb = 0; |
break; |
break; |
} |
} |
} |
} |
Line 341 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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Line 392 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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printf("Computation of the Groebner basis is suspended bacause of StopDegree < computing grade.\n"); |
printf("Computation of the Groebner basis is suspended bacause of StopDegree < computing grade.\n"); |
printf("Note that the result is NOT groebner basis.\n"); |
printf("Note that the result is NOT groebner basis.\n"); |
} |
} |
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g->gb = 0; |
break; |
break; |
} |
} |
} |
} |
Line 361 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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Line 413 struct gradedPolySet *groebner_gen(f,needBack,needSyz, |
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printf("Criterion1 is applied %d times.\n",Criterion1); |
printf("Criterion1 is applied %d times.\n",Criterion1); |
printf("Criterions M,F and B are applied M=%d, F=%d, B=%d times.\n",Criterion2M,Criterion2F,Criterion2B); |
printf("Criterions M,F and B are applied M=%d, F=%d, B=%d times.\n",Criterion2M,Criterion2F,Criterion2B); |
Spairs = Criterion1 = Criterion2M = Criterion2F = Criterion2B = 0; |
Spairs = Criterion1 = Criterion2M = Criterion2F = Criterion2B = 0; |
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printf("degree(number of spolys): maximal polynomial size\n"); |
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statisticsCount = 0; |
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for (i=0; i<DMAX; i++) { |
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if (SpNumber[i] > 0) { |
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printf("%3d(%3d): %5d, ",i,SpNumber[i],MaxLength[i]); |
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if (statisticsCount % 4 == 3) { |
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printf("\n"); |
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statisticsCount = 0; |
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}else{ statisticsCount++; } |
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} |
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} |
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printf("\n"); |
} |
} |
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if (AutoReduce) { |
if (AutoReduce || reduceOnly) { |
toReducedBasis(g,needBack,needSyz); |
toReducedBasis(g,needBack,needSyz); |
} |
} |
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Line 460 void toReducedBasis(struct gradedPolySet *grP,int need |
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Line 525 void toReducedBasis(struct gradedPolySet *grP,int need |
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if (KanGBmessage) { |
if (KanGBmessage) { |
printf("Done(reduced basis)\n"); |
printf("Done(reduced basis)\n"); |
} |
} |
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grP->reduced = 1; |
} |
} |
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