| version 1.1, 1999/10/08 02:12:02 |
version 1.2, 2001/05/04 01:06:24 |
| Line 13 extern int KanGBmessage; |
|
| Line 13 extern int KanGBmessage; |
|
| |
|
| /** :kan, :ring */ |
/** :kan, :ring */ |
| struct object Kreduction(f,set) |
struct object Kreduction(f,set) |
| struct object f; |
struct object f; |
| struct object set; |
struct object set; |
| { |
{ |
| POLY r; |
POLY r; |
| struct gradedPolySet *grG; |
struct gradedPolySet *grG; |
| Line 54 struct object set; |
|
| Line 54 struct object set; |
|
| } |
} |
| |
|
| struct object Kgroebner(ob) |
struct object Kgroebner(ob) |
| struct object ob; |
struct object ob; |
| { |
{ |
| int needSyz = 0; |
int needSyz = 0; |
| int needBack = 0; |
int needBack = 0; |
| Line 112 struct object ob; |
|
| Line 112 struct object ob; |
|
| for (i=0; i<getoaSize(ob2); i++) { |
for (i=0; i<getoaSize(ob2); i++) { |
| ob2c = getoa(ob2,i); |
ob2c = getoa(ob2,i); |
| if (ob2c.tag == Sdollar) { |
if (ob2c.tag == Sdollar) { |
| if (strcmp(ob2c.lc.str,"needBack")==0) { |
if (strcmp(ob2c.lc.str,"needBack")==0) { |
| needBack = 1; |
needBack = 1; |
| }else if (strcmp(ob2c.lc.str,"needSyz")==0) { |
}else if (strcmp(ob2c.lc.str,"needSyz")==0) { |
| if (!needBack) { |
if (!needBack) { |
| /* warningKan("Kgroebner(): needBack is automatically set."); */ |
/* warningKan("Kgroebner(): needBack is automatically set."); */ |
| } |
} |
| needSyz = needBack = 1; |
needSyz = needBack = 1; |
| }else if (strcmp(ob2c.lc.str,"forceReduction")==0) { |
}else if (strcmp(ob2c.lc.str,"forceReduction")==0) { |
| forceReduction = 1; |
forceReduction = 1; |
| }else if (strcmp(ob2c.lc.str,"countDown")==0) { |
}else if (strcmp(ob2c.lc.str,"countDown")==0) { |
| countDown = 1; cdflag = 1; |
countDown = 1; cdflag = 1; |
| if (needSyz) { |
if (needSyz) { |
| warningKan("Kgroebner(): needSyz is automatically turned off."); |
warningKan("Kgroebner(): needSyz is automatically turned off."); |
| needSyz = 0; |
needSyz = 0; |
| } |
} |
| }else if (strcmp(ob2c.lc.str,"StopDegree")==0) { |
}else if (strcmp(ob2c.lc.str,"StopDegree")==0) { |
| StopDegree = 0; sdflag = 1; |
StopDegree = 0; sdflag = 1; |
| if (needSyz) { |
if (needSyz) { |
| warningKan("Kgroebner(): needSyz is automatically turned off."); |
warningKan("Kgroebner(): needSyz is automatically turned off."); |
| needSyz = 0; |
needSyz = 0; |
| } |
} |
| }else { |
}else { |
| warningKan("Unknown keyword for options."); |
warningKan("Unknown keyword for options."); |
| } |
} |
| }else if (ob2c.tag == Sinteger) { |
}else if (ob2c.tag == Sinteger) { |
| if (cdflag) { |
if (cdflag) { |
| cdflag = 0; |
cdflag = 0; |
| countDown = KopInteger(ob2c); |
countDown = KopInteger(ob2c); |
| }else if (sdflag) { |
}else if (sdflag) { |
| sdflag = 0; |
sdflag = 0; |
| StopDegree = KopInteger(ob2c); |
StopDegree = KopInteger(ob2c); |
| } |
} |
| } |
} |
| } |
} |
| break; |
break; |
| default: |
default: |
| errorKan1("%s\n","Kgroebner(): [ [polynomials] ] or [[polynomials] [options]]."); |
errorKan1("%s\n","Kgroebner(): [ [polynomials] ] or [[polynomials] [options]]."); |
| } |
} |
| |
|
| if (ob1.tag != Sarray) errorKan1("%s\n","Kgroebner(): The argument must be an array. Example: [ [$x-1$ . $x y -2$ .] [$needBack$ $needSyz$ $needInput$]] "); |
if (ob1.tag != Sarray) errorKan1("%s\n","Kgroebner(): The argument must be an array. Example: [ [$x-1$ . $x y -2$ .] [$needBack$ $needSyz$ $needInput$]] "); |
| ob1New = newObjectArray(getoaSize(ob1)); |
ob1New = newObjectArray(getoaSize(ob1)); |
| for (i=0; i< getoaSize(ob1); i++) { |
for (i=0; i< getoaSize(ob1); i++) { |
| Line 165 struct object ob; |
|
| Line 165 struct object ob; |
|
| /* getoa(ob1,i) is poly, now check the homogenization. */ |
/* getoa(ob1,i) is poly, now check the homogenization. */ |
| if (CheckHomogenization) { |
if (CheckHomogenization) { |
| if ((strcmp(F_groebner,"standard")==0) && |
if ((strcmp(F_groebner,"standard")==0) && |
| !isHomogenized(KopPOLY(getoa(ob1New,i)))) { |
!isHomogenized(KopPOLY(getoa(ob1New,i)))) { |
| fprintf(stderr,"\n%s",KPOLYToString(KopPOLY(getoa(ob1New,i)))); |
fprintf(stderr,"\n%s",KPOLYToString(KopPOLY(getoa(ob1New,i)))); |
| errorKan1("%s\n","Kgroebner(): The above polynomial is not homogenized. cf. homogenize."); |
errorKan1("%s\n","Kgroebner(): The above polynomial is not homogenized. cf. homogenize."); |
| } |
} |
| } |
} |
| } |
} |
| Line 208 struct object ob; |
|
| Line 208 struct object ob; |
|
| putoa(rob,1,rob3); |
putoa(rob,1,rob3); |
| rob4 = newObjectArray(ob1Size); |
rob4 = newObjectArray(ob1Size); |
| for (i=0; i<ob1Size; i++) { |
for (i=0; i<ob1Size; i++) { |
| putoa(rob4,i,unitVector(i,ob1Size,myring)); |
putoa(rob4,i,unitVector(i,ob1Size,myring)); |
| } |
} |
| putoa(rob,2,rob4); |
putoa(rob,2,rob4); |
| }else if (needBack) { |
}else if (needBack) { |
| Line 368 static struct object unitVector(int pos, int size,stru |
|
| Line 368 static struct object unitVector(int pos, int size,stru |
|
| #define INITSIZE 0 |
#define INITSIZE 0 |
| |
|
| struct gradedPolySet *arrayToGradedPolySet(ob) |
struct gradedPolySet *arrayToGradedPolySet(ob) |
| struct object ob; |
struct object ob; |
| { |
{ |
| int n,i,grd,ind; |
int n,i,grd,ind; |
| POLY f; |
POLY f; |
| Line 398 struct object ob; |
|
| Line 398 struct object ob; |
|
| |
|
| |
|
| struct object polySetToArray(ps,keepRedundant) |
struct object polySetToArray(ps,keepRedundant) |
| struct polySet *ps; |
struct polySet *ps; |
| int keepRedundant; |
int keepRedundant; |
| { |
{ |
| int n,i,j; |
int n,i,j; |
| struct object ob; |
struct object ob; |
| Line 425 int keepRedundant; |
|
| Line 425 int keepRedundant; |
|
| |
|
| |
|
| struct object gradedPolySetToGradedArray(gps,keepRedundant) |
struct object gradedPolySetToGradedArray(gps,keepRedundant) |
| struct gradedPolySet *gps; |
struct gradedPolySet *gps; |
| int keepRedundant; |
int keepRedundant; |
| { |
{ |
| struct object ob,vec; |
struct object ob,vec; |
| int i; |
int i; |
| Line 443 int keepRedundant; |
|
| Line 443 int keepRedundant; |
|
| |
|
| |
|
| struct object gradedPolySetToArray(gps,keepRedundant) |
struct object gradedPolySetToArray(gps,keepRedundant) |
| struct gradedPolySet *gps; |
struct gradedPolySet *gps; |
| int keepRedundant; |
int keepRedundant; |
| { |
{ |
| struct object ob,vec; |
struct object ob,vec; |
| struct polySet *ps; |
struct polySet *ps; |
| Line 459 int keepRedundant; |
|
| Line 459 int keepRedundant; |
|
| size += ps->size; |
size += ps->size; |
| }else{ |
}else{ |
| for (j=0; j<ps->size; j++) { |
for (j=0; j<ps->size; j++) { |
| if (ps->del[j] == 0) ++size; |
if (ps->del[j] == 0) ++size; |
| } |
} |
| } |
} |
| } |
} |
| Line 470 int keepRedundant; |
|
| Line 470 int keepRedundant; |
|
| ps = gps->polys[i]; |
ps = gps->polys[i]; |
| for (j=0; j<ps->size; j++) { |
for (j=0; j<ps->size; j++) { |
| if (keepRedundant || (ps->del[j] == 0)) { |
if (keepRedundant || (ps->del[j] == 0)) { |
| putoa(ob,k,KpoPOLY(ps->g[j])); |
putoa(ob,k,KpoPOLY(ps->g[j])); |
| k++; |
k++; |
| } |
} |
| } |
} |
| } |
} |
| Line 481 int keepRedundant; |
|
| Line 481 int keepRedundant; |
|
| |
|
| /* serial == -1 : It's not in the marix input. */ |
/* serial == -1 : It's not in the marix input. */ |
| struct object syzPolyToArray(size,f,grG) |
struct object syzPolyToArray(size,f,grG) |
| int size; |
int size; |
| POLY f; |
POLY f; |
| struct gradedPolySet *grG; |
struct gradedPolySet *grG; |
| { |
{ |
| struct object ob; |
struct object ob; |
| int i,g0,i0,serial; |
int i,g0,i0,serial; |
| Line 510 struct gradedPolySet *grG; |
|
| Line 510 struct gradedPolySet *grG; |
|
| } |
} |
| |
|
| struct object getBackwardArray(grG) |
struct object getBackwardArray(grG) |
| struct gradedPolySet *grG; |
struct gradedPolySet *grG; |
| { |
{ |
| /* use serial, del. cf. getBackwardTransformation(). */ |
/* use serial, del. cf. getBackwardTransformation(). */ |
| int inputSize,outputSize; |
int inputSize,outputSize; |
| Line 533 struct gradedPolySet *grG; |
|
| Line 533 struct gradedPolySet *grG; |
|
| ps = grG->polys[i]; |
ps = grG->polys[i]; |
| for (j=0; j<ps->size; j++) { |
for (j=0; j<ps->size; j++) { |
| if (ps->del[j] == 0) { |
if (ps->del[j] == 0) { |
| putoa(ob,k,syzPolyToArray(inputSize,ps->syz[j]->syz,grG)); |
putoa(ob,k,syzPolyToArray(inputSize,ps->syz[j]->syz,grG)); |
| k++; |
k++; |
| } |
} |
| } |
} |
| } |
} |
| Line 543 struct gradedPolySet *grG; |
|
| Line 543 struct gradedPolySet *grG; |
|
| |
|
| |
|
| POLY arrayToPOLY(ob) |
POLY arrayToPOLY(ob) |
| struct object ob; |
struct object ob; |
| { |
{ |
| int size,i; |
int size,i; |
| struct object f; |
struct object f; |
| Line 563 struct object ob; |
|
| Line 563 struct object ob; |
|
| if (ff != ZERO) { |
if (ff != ZERO) { |
| tf = ff->m; |
tf = ff->m; |
| if (tf->ringp != cr) { |
if (tf->ringp != cr) { |
| n = tf->ringp->n; |
n = tf->ringp->n; |
| m = tf->ringp->m; |
m = tf->ringp->m; |
| l = tf->ringp->l; |
l = tf->ringp->l; |
| c = tf->ringp->c; |
c = tf->ringp->c; |
| nn = tf->ringp->nn; |
nn = tf->ringp->nn; |
| mm = tf->ringp->mm; |
mm = tf->ringp->mm; |
| ll = tf->ringp->ll; |
ll = tf->ringp->ll; |
| cc = tf->ringp->cc; |
cc = tf->ringp->cc; |
| cr = tf->ringp; |
cr = tf->ringp; |
| } |
} |
| if (n-nn >0) ee = cxx(1,n-1,i,tf->ringp); |
if (n-nn >0) ee = cxx(1,n-1,i,tf->ringp); |
| else if (m-mm >0) ee = cxx(1,m-1,i,tf->ringp); |
else if (m-mm >0) ee = cxx(1,m-1,i,tf->ringp); |
| Line 585 struct object ob; |
|
| Line 585 struct object ob; |
|
| } |
} |
| |
|
| struct object POLYToArray(ff) |
struct object POLYToArray(ff) |
| POLY ff; |
POLY ff; |
| { |
{ |
| |
|
| static int nn,mm,ll,cc,n,m,l,c; |
static int nn,mm,ll,cc,n,m,l,c; |
|
|
| } |
} |
| |
|
| static int isThereh(f) |
static int isThereh(f) |
| POLY f; |
POLY f; |
| { |
{ |
| POLY t; |
POLY t; |
| if (f == 0) return(0); |
if (f == 0) return(0); |
|
|
| } |
} |
| |
|
| struct object homogenizeObject(ob,gradep) |
struct object homogenizeObject(ob,gradep) |
| struct object ob; |
struct object ob; |
| int *gradep; |
int *gradep; |
| { |
{ |
| struct object rob,ob1; |
struct object rob,ob1; |
| int maxg; |
int maxg; |
|
|
| ob1 = getoa(ob,i); |
ob1 = getoa(ob,i); |
| ob1 = homogenizeObject(ob1,&gr); |
ob1 = homogenizeObject(ob1,&gr); |
| if (gr > maxg) { |
if (gr > maxg) { |
| maxg = gr; |
maxg = gr; |
| } |
} |
| getoa(rob,i) = ob1; |
getoa(rob,i) = ob1; |
| } |
} |
|
|
| rp = oRingp(rob); |
rp = oRingp(rob); |
| if (rp == (struct ring *)NULL) rp = CurrentRingp; |
if (rp == (struct ring *)NULL) rp = CurrentRingp; |
| for (i=0; i<size; i++) { |
for (i=0; i<size; i++) { |
| gr = oGrade(getoa(rob,i)); |
gr = oGrade(getoa(rob,i)); |
| /**printf("maxg=%d, gr=%d(i=%d) ",maxg,gr,i); fflush(stdout);**/ |
/**printf("maxg=%d, gr=%d(i=%d) ",maxg,gr,i); fflush(stdout);**/ |
| if (maxg > gr) { |
if (maxg > gr) { |
| f = cdd(1,0,maxg-gr-i,rp); /* h^{maxg-gr-i} */ |
f = cdd(1,0,maxg-gr-i,rp); /* h^{maxg-gr-i} */ |
| getoa(rob,i) = KooMult(KpoPOLY(f),getoa(rob,i)); |
getoa(rob,i) = KooMult(KpoPOLY(f),getoa(rob,i)); |
| } |
} |
| } |
} |
| } |
} |
| *gradep = maxg; |
*gradep = maxg; |
|
|
| } |
} |
| |
|
| struct object homogenizeObject_vec(ob,gradep) |
struct object homogenizeObject_vec(ob,gradep) |
| struct object ob; |
struct object ob; |
| int *gradep; |
int *gradep; |
| { |
{ |
| struct object rob,ob1; |
struct object rob,ob1; |
| int maxg; |
int maxg; |
|
|
| ob1 = homogenizeObject_vec(ob1,&gr); |
ob1 = homogenizeObject_vec(ob1,&gr); |
| if (i==0) maxg = gr; |
if (i==0) maxg = gr; |
| else { |
else { |
| maxg = (maxg > gr? maxg: gr); |
maxg = (maxg > gr? maxg: gr); |
| } |
} |
| putoa(rob,i,ob1); |
putoa(rob,i,ob1); |
| } |
} |
|
|
| } |
} |
| |
|
| struct ring *oRingp(ob) |
struct ring *oRingp(ob) |
| struct object ob; |
struct object ob; |
| { |
{ |
| struct ring *rp,*rptmp; |
struct ring *rp,*rptmp; |
| int i,size; |
int i,size; |
| Line 791 struct object ob; |
|
| Line 791 struct object ob; |
|
| } |
} |
| |
|
| int oGrade(ob) |
int oGrade(ob) |
| struct object ob; |
struct object ob; |
| { |
{ |
| int i,size; |
int i,size; |
| POLY f; |
POLY f; |
| Line 819 struct object ob; |
|
| Line 819 struct object ob; |
|
| |
|
| |
|
| struct object oPrincipalPart(ob) |
struct object oPrincipalPart(ob) |
| struct object ob; |
struct object ob; |
| { |
{ |
| POLY f; |
POLY f; |
| struct object rob; |
struct object rob; |
| Line 835 struct object ob; |
|
| Line 835 struct object ob; |
|
| } |
} |
| } |
} |
| struct object oInitW(ob,oWeight) |
struct object oInitW(ob,oWeight) |
| struct object ob; |
struct object ob; |
| struct object oWeight; |
struct object oWeight; |
| { |
{ |
| POLY f; |
POLY f; |
| struct object rob; |
struct object rob; |
| Line 993 struct object KvectorToSchreyer_es(struct object obarr |
|
| Line 993 struct object KvectorToSchreyer_es(struct object obarr |
|
| /* g = es^i g */ |
/* g = es^i g */ |
| g = mpMult_poly(cxx(1,nn,i,rp), g); |
g = mpMult_poly(cxx(1,nn,i,rp), g); |
| if (!isOrdered(g)) { |
if (!isOrdered(g)) { |
| errorKan1("%s\n","KvectorToSchreyer_es(): given polynomial is not ordered properly by the given Schreyer order."); |
errorKan1("%s\n","KvectorToSchreyer_es(): given polynomial is not ordered properly by the given Schreyer order."); |
| } |
} |
| f = ppAdd(f,g); |
f = ppAdd(f,g); |
| } |
} |