version 1.1.1.1, 1999/10/08 02:12:02 |
version 1.8, 2020/10/06 11:33:47 |
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/* $OpenXM: OpenXM/src/kan96xx/Kan/sugar.c,v 1.7 2003/09/20 09:57:29 takayama Exp $ */ |
#include <stdio.h> |
#include <stdio.h> |
#include "datatype.h" |
#include "datatype.h" |
#include "extern2.h" |
#include "extern2.h" |
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#define mymax(p,q) (p>q?p:q) |
#define mymax(p,q) (p>q?p:q) |
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static int DebugReduction = 0; |
/* static int DebugReduction = 0; |
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*/ |
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extern int DebugReductionRed; |
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extern int DebugContentReduction; |
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extern int Ecart; |
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extern int Ecart_sugarGrade; |
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static int ecart_grade_sugar(POLY f); |
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POLY reduction_sugar(POLY f,struct gradedPolySet *gset,int needSyz, |
POLY reduction_sugar(POLY f,struct gradedPolySet *gset,int needSyz, |
struct syz0 *syzp,int sugarGrade) |
struct syz0 *syzp,int sugarGrade) |
{ |
{ |
int reduced,reduced1,reduced2; |
int reduced,reduced1,reduced2; |
int grd; |
int grd; |
Line 21 POLY reduction_sugar(POLY f,struct gradedPolySet *gset |
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Line 28 POLY reduction_sugar(POLY f,struct gradedPolySet *gset |
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extern struct ring *CurrentRingp; |
extern struct ring *CurrentRingp; |
struct ring *rp; |
struct ring *rp; |
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extern int DoCancel; |
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if (Ecart) { |
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Ecart_sugarGrade = sugarGrade; |
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return reduction_ecart(f,gset,needSyz,syzp); |
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} |
if (needSyz) { |
if (needSyz) { |
if (f ISZERO) { rp = CurrentRingp; } else { rp = f->m->ringp; } |
if (f ISZERO) { rp = CurrentRingp; } else { rp = f->m->ringp; } |
cf = cxx(1,0,0,rp); |
cf = cxx(1,0,0,rp); |
syz = ZERO; |
syz = ZERO; |
} |
} |
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if (needSyz && DoCancel) { |
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warningGradedSet("needSyz is not supported when DoCancel is turned on. DoCancel is set to 0.\n"); |
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DoCancel = 0; |
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} |
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if (DoCancel && (f != POLYNULL)) shouldReduceContent(f,1); |
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reduced = 0; /* no */ |
reduced = 0; /* no */ |
/* Take minimum */ |
/* Take minimum */ |
gradelimit = (gset->maxGrade < sugarGrade+1 ?gset->maxGrade: sugarGrade+1); |
gradelimit = (gset->maxGrade < sugarGrade+1 ?gset->maxGrade: sugarGrade+1); |
Line 37 POLY reduction_sugar(POLY f,struct gradedPolySet *gset |
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Line 55 POLY reduction_sugar(POLY f,struct gradedPolySet *gset |
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while (grd < gset->maxGrade) { |
while (grd < gset->maxGrade) { |
set = gset->polys[grd]; |
set = gset->polys[grd]; |
do { |
do { |
reduced2 = 0; /* no */ |
reduced2 = 0; /* no */ |
for (i=0; i<set->size; i++) { |
for (i=0; i<set->size; i++) { |
if (f ISZERO) goto ss; |
if (f ISZERO) goto ss; |
if ((*isReducible)(f,set->g[i])) { |
if ((*isReducible)(f,set->g[i])) { |
tdegm = grade_gen(f) - grade_gen(set->g[i]); |
tdegm = grade_gen(f) - grade_gen(set->g[i]); |
/* Reduce if and only if sugarGrade does not increase. */ |
/* Reduce if and only if sugarGrade does not increase. */ |
if (tdegm+grd <= sugarGrade) { |
if (tdegm+grd <= sugarGrade) { |
f = reduction1_sugar(f,set->g[i],needSyz,&cc,&cg,sugarGrade); |
f = reduction1_sugar(f,set->g[i],needSyz,&cc,&cg,sugarGrade); |
if (needSyz) { |
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cf = ppMult(cc,cf); |
if (DoCancel && (f != POLYNULL)) { |
syz = cpMult(toSyzCoeff(cc),syz); |
if (shouldReduceContent(f,0)) { |
syz = ppAddv(syz,toSyzPoly(cg,grd,i)); |
struct coeff *cont; |
} |
f = reduceContentOfPoly(f,&cont); |
reduced = reduced1 = reduced2 = 1; /* yes */ |
shouldReduceContent(f,1); |
} |
if (DebugContentReduction) printf("CONT=%s ",coeffToString(cont)); |
} |
} |
} |
} |
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if (needSyz) { |
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cf = ppMult(cc,cf); |
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syz = cpMult(toSyzCoeff(cc),syz); |
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syz = ppAddv(syz,toSyzPoly(cg,grd,i)); |
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} |
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reduced = reduced1 = reduced2 = 1; /* yes */ |
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} |
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} |
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} |
} while (reduced2 != 0); |
} while (reduced2 != 0); |
grd++; |
grd++; |
} |
} |
}while (reduced1 != 0); |
}while (reduced1 != 0); |
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ss: ; |
ss: ; |
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 */ |
} |
} |
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if (DoCancel && (f != POLYNULL)) { |
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if (f->m->ringp->p == 0) { |
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struct coeff *cont; |
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f = reduceContentOfPoly(f,&cont); |
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if (DebugContentReduction) printf("cont=%s ",coeffToString(cont)); |
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} |
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} |
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return(f); |
return(f); |
} |
} |
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POLY reduction1_sugar(f,g,needSyz,c,h,sugarGrade) |
POLY reduction1_sugar(f,g,needSyz,c,h,sugarGrade) |
POLY f; |
POLY f; |
POLY g; |
POLY g; |
int needSyz; |
int needSyz; |
POLY *c; /* set */ |
POLY *c; /* set */ |
POLY *h; /* set */ |
POLY *h; /* set */ |
int sugarGrade; |
int sugarGrade; |
/* f must be reducible by g. r = c*f + h*g */ |
/* f must be reducible by g. r = c*f + h*g */ |
{ |
{ |
extern struct ring *CurrentRingp; |
extern struct ring *CurrentRingp; |
struct ring *rp; |
struct ring *rp; |
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sv = (*sp)(f,g); |
sv = (*sp)(f,g); |
f2 = ppAddv(cpMult((sv.a)->coeffp,f),ppMult(sv.b,g)); |
f2 = ppAddv(cpMult((sv.a)->coeffp,f),ppMult(sv.b,g)); |
if (DebugReduction) { |
if (DebugReductionRed) { |
printf("c=%s, d=%s, g=%s: f --> c*f + d*g.\n", |
printf("c=%s, d=%s, g=%s: f --> c*f + d*g.\n", |
POLYToString(sv.a,'*',1),POLYToString(sv.b,'*',1),POLYToString(g,'*',1)); |
POLYToString(sv.a,'*',1),POLYToString(sv.b,'*',1),POLYToString(g,'*',1)); |
printf("%s --> %s\n",POLYToString(f,'*',1),POLYToString(f2,'*',1)); |
printf("%s --> %s\n",POLYToString(f,'*',1),POLYToString(f2,'*',1)); |
} |
} |
f = f2; |
f = f2; |
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if (tdegm+grd <= sugarGrade) { |
if (tdegm+grd <= sugarGrade) { |
sv = (*sp)(f,g); |
sv = (*sp)(f,g); |
f2 = ppAddv(cpMult((sv.a)->coeffp,f),ppMult(sv.b,g)); |
f2 = ppAddv(cpMult((sv.a)->coeffp,f),ppMult(sv.b,g)); |
if (DebugReduction) { |
if (DebugReductionRed) { |
printf("! c=%s, d=%s, g=%s: f --> c*f + d*g.\n", |
printf("! c=%s, d=%s, g=%s: f --> c*f + d*g.\n", |
POLYToString(sv.a,'*',1),POLYToString(sv.b,'*',1),POLYToString(g,'*',1)); |
POLYToString(sv.a,'*',1),POLYToString(sv.b,'*',1),POLYToString(g,'*',1)); |
printf("%s --> %s\n",POLYToString(f,'*',1),POLYToString(f2,'*',1)); |
printf("%s --> %s\n",POLYToString(f,'*',1),POLYToString(f2,'*',1)); |
} |
} |
f = f2; |
f = f2; |
if (needSyz) { |
if (needSyz) { |
*c = ppMult(sv.a,*c); |
*c = ppMult(sv.a,*c); |
*h = ppAdd(ppMult(sv.a,*h),sv.b); |
*h = ppAdd(ppMult(sv.a,*h),sv.b); |
} |
} |
}else{ |
}else{ |
break; |
break; |
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} |
} |
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int grade_sugar(f) |
int grade_sugar(f) |
POLY f; |
POLY f; |
{ |
{ |
int r; |
int r; |
int i,ans; |
int i,ans; |
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static int nn,mm,ll,cc,n,m,l,c; |
static int nn,mm,ll,cc,n,m,l,c; |
static struct ring *cr = (struct ring *)NULL; |
static struct ring *cr = (struct ring *)NULL; |
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/* if (Ecart) return ecart_grade_sugar(f); */ |
if (f ISZERO) return(-1); |
if (f ISZERO) return(-1); |
tf = f->m; |
tf = f->m; |
if (tf->ringp != cr) { |
if (tf->ringp != cr) { |
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r += tf->e[i].x; |
r += tf->e[i].x; |
r += tf->e[i].D; |
r += tf->e[i].D; |
} |
} |
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f = f->next; |
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ans = (ans>r?ans:r); |
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} |
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return(ans); |
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} |
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static int ecart_grade_sugar(POLY f) /* experimental */ |
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{ |
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int r; |
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int i,ans; |
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MONOMIAL tf; |
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static int nn,mm,ll,cc,n,m,l,c; |
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static struct ring *cr = (struct ring *)NULL; |
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int soffset; |
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int sdegree; |
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if (f ISZERO) return(-1); |
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tf = f->m; |
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if (tf->ringp != cr) { |
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n = tf->ringp->n; |
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m = tf->ringp->m; |
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l = tf->ringp->l; |
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c = tf->ringp->c; |
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nn = tf->ringp->nn; |
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mm = tf->ringp->mm; |
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ll = tf->ringp->ll; |
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cc = tf->ringp->cc; |
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cr = tf->ringp; |
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} |
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soffset = 0x7fffffff; /* large number */ |
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while (f != NULL) { |
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r = 0; |
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tf = f->m; |
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for (i=m; i<nn; i++) { |
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r -= tf->e[i].x; |
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r += tf->e[i].D; |
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} |
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f = f->next; |
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soffset = (r < soffset? r: soffset); |
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} |
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ans = 0; |
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while (f != NULL) { |
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r = 0; sdegree = 0; |
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tf = f->m; |
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for (i=0; i<cc; i++) { |
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r += tf->e[i].x; |
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r += tf->e[i].D; |
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} |
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for (i=c; i<ll; i++) { |
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r += tf->e[i].x; |
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r += tf->e[i].D; |
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} |
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for (i=l; i<mm; i++) { |
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r += tf->e[i].x; |
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r += tf->e[i].D; |
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} |
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for (i=m; i<nn; i++) { |
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r += tf->e[i].x; |
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r += tf->e[i].D; |
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sdegree -= tf->e[i].x; |
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sdegree += tf->e[i].D; |
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} |
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r += sdegree-soffset; |
f = f->next; |
f = f->next; |
ans = (ans>r?ans:r); |
ans = (ans>r?ans:r); |
} |
} |