| version 1.1, 1999/10/08 02:12:02 |
version 1.12, 2004/07/30 11:21:55 |
|
|
| |
/* $OpenXM: OpenXM/src/kan96xx/Kan/kanExport1.c,v 1.11 2004/02/23 09:03:42 takayama Exp $ */ |
| #include <stdio.h> |
#include <stdio.h> |
| #include "datatype.h" |
#include "datatype.h" |
| #include "stackm.h" |
#include "stackm.h" |
|
|
| static int Message = 1; |
static int Message = 1; |
| extern int KanGBmessage; |
extern int KanGBmessage; |
| |
|
| |
struct object DegreeShifto; |
| |
int DegreeShifto_size = 0; |
| |
int *DegreeShifto_vec = NULL; |
| |
struct object DegreeShiftD; |
| |
int DegreeShiftD_size = 0; |
| |
int *DegreeShiftD_vec = NULL; |
| |
|
| /** :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 38 struct object set; |
|
| Line 46 struct object set; |
|
| }else{ |
}else{ |
| r = (*reduction)(f.lc.poly,grG,1,&syz); |
r = (*reduction)(f.lc.poly,grG,1,&syz); |
| } |
} |
| |
/* outputGradedPolySet(grG,0); */ |
| if (flag) { |
if (flag) { |
| rob = newObjectArray(3); |
rob = newObjectArray(3); |
| putoa(rob,0,KpoPOLY(r)); |
putoa(rob,0,KpoPOLY(r)); |
| Line 54 struct object set; |
|
| Line 63 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 121 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 174 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 217 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 225 struct object ob; |
|
| Line 234 struct object ob; |
|
| } |
} |
| /* Assume ob1Size , ob2Size > 0 */ |
/* Assume ob1Size , ob2Size > 0 */ |
| ob2 = newObjectArray(ob2Size); |
ob2 = newObjectArray(ob2Size); |
| ob1ToOb2 = (int *)GC_malloc(sizeof(int)*ob1Size); |
ob1ToOb2 = (int *)sGC_malloc(sizeof(int)*ob1Size); |
| ob1ZeroPos = (int *)GC_malloc(sizeof(int)*(ob1Size-ob2Size+1)); |
ob1ZeroPos = (int *)sGC_malloc(sizeof(int)*(ob1Size-ob2Size+1)); |
| if (ob1ToOb2 == NULL || ob1ZeroPos == NULL) errorKan1("%s\n","No more memory."); |
if (ob1ToOb2 == NULL || ob1ZeroPos == NULL) errorKan1("%s\n","No more memory."); |
| j = 0; k = 0; |
j = 0; k = 0; |
| for (i=0; i<ob1Size; i++) { |
for (i=0; i<ob1Size; i++) { |
| Line 265 struct object ob; |
|
| Line 274 struct object ob; |
|
| fflush(stdout); |
fflush(stdout); |
| } |
} |
| mp = getSyzygy(grG,grP->next,&grBases,&backwardMat); |
mp = getSyzygy(grG,grP->next,&grBases,&backwardMat); |
| |
if (mp == NULL) errorKan1("%s\n","Internal error in getSyzygy(). BUG of sm1."); |
| if (KanGBmessage) printf("Done.\n"); |
if (KanGBmessage) printf("Done.\n"); |
| |
|
| putoa(rob,0,gradedPolySetToArray(grG,0)); |
putoa(rob,0,gradedPolySetToArray(grG,0)); |
| Line 368 static struct object unitVector(int pos, int size,stru |
|
| Line 378 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 408 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 435 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 453 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 469 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 480 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 491 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 495 struct gradedPolySet *grG; |
|
| Line 505 struct gradedPolySet *grG; |
|
| |
|
| while (f != POLYNULL) { |
while (f != POLYNULL) { |
| g0 = srGrade(f); |
g0 = srGrade(f); |
| i0 = srIndex(f); |
i0 = srIndex(f); |
| serial = grG->polys[g0]->serial[i0]; |
serial = grG->polys[g0]->serial[i0]; |
| if (serial < 0) { |
if (serial < 0) { |
| errorKan1("%s\n","syzPolyToArray(): invalid serial[i] of grG."); |
errorKan1("%s\n","syzPolyToArray(): invalid serial[i] of grG."); |
| Line 510 struct gradedPolySet *grG; |
|
| Line 520 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 543 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 553 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 573 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 595 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; |
|
|
| rob = newObjectArray(size); |
rob = newObjectArray(size); |
| flag = 0; |
flag = 0; |
| ob1 = getoa(ob,0); |
ob1 = getoa(ob,0); |
| |
if (ob1.tag == Sdollar) return(homogenizeObject_go(ob,gradep)); |
| ob1 = homogenizeObject(ob1,&gr); |
ob1 = homogenizeObject(ob1,&gr); |
| maxg = gr; |
maxg = gr; |
| getoa(rob,0) = ob1; |
getoa(rob,0) = ob1; |
|
|
| 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; |
|
|
| if (size == 0) { |
if (size == 0) { |
| errorKan1("%s\n","homogenizeObject_vec() is called for the empty array."); |
errorKan1("%s\n","homogenizeObject_vec() is called for the empty array."); |
| } |
} |
| |
if (getoa(ob,0).tag == Sdollar) return(homogenizeObject_go(ob,gradep)); |
| rob = newObjectArray(size); |
rob = newObjectArray(size); |
| for (i=0; i<size; i++) { |
for (i=0; i<size; i++) { |
| ob1 = getoa(ob,i); |
ob1 = getoa(ob,i); |
| 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); |
| } |
} |
|
|
| } |
} |
| } |
} |
| |
|
| |
void KresetDegreeShift() { |
| |
DegreeShifto = NullObject; |
| |
DegreeShifto_vec = (int *)NULL; |
| |
DegreeShifto_size = 0; |
| |
DegreeShiftD = NullObject; |
| |
DegreeShiftD_vec = (int *)NULL; |
| |
DegreeShiftD_size = 0; |
| |
} |
| |
|
| |
struct object homogenizeObject_go(struct object ob,int *gradep) { |
| |
int size,i,dssize,j; |
| |
struct object ob0; |
| |
struct object ob1; |
| |
struct object ob2; |
| |
struct object rob; |
| |
struct object tob; |
| |
struct object ob1t; |
| |
int *ds; |
| |
POLY f; |
| |
int onlyS; |
| |
|
| |
onlyS = 0; /* default value */ |
| |
rob = NullObject; |
| |
/*printf("[%d,%d]\n",DegreeShiftD_size,DegreeShifto_size);*/ |
| |
if (DegreeShifto_size == 0) DegreeShifto = NullObject; |
| |
if (DegreeShiftD_size == 0) DegreeShiftD = NullObject; |
| |
/* |
| |
DegreeShiftD : Degree shift vector for (0,1)-h-homogenization, |
| |
which is {\vec n} in G-O paper. |
| |
It is used in dGrade1() redm.c |
| |
DegreeShifto : Degree shift vector for (u,v)-s-homogenization |
| |
which is used only in ecart division and (u,v) is |
| |
usually (-1,1). |
| |
This shift vector is written {\vec v} in G-O paper. |
| |
It may differ from the degree shift for the ring, |
| |
which is used to get (minimal) Schreyer resolution. |
| |
This shift vector is denoted by {\vec m} in G-O paper. |
| |
It is often used as an argument for uvGrade1 and |
| |
goHomogenize* |
| |
*/ |
| |
if (ob.tag != Sarray) errorKan1("%s\n","homogenizeObject_go(): Invalid argument data type."); |
| |
|
| |
size = getoaSize(ob); |
| |
if (size == 0) errorKan1("%s\n","homogenizeObject_go(): the first argument must be a string."); |
| |
ob0 = getoa(ob,0); |
| |
if (ob0.tag != Sdollar) { |
| |
errorKan1("%s\n","homogenizeObject_go(): the first argument must be a string."); |
| |
} |
| |
if (strcmp(KopString(ob0),"degreeShift") == 0) { |
| |
if (size < 2) |
| |
errorKan1("%s\n","homogenizeObject_go(): [(degreeShift) shift-vector obj] or [(degreeShift) shift-vector] or [(degreeShift) (value)] homogenize.\nshift-vector=(0,1)-shift vector or [(0,1)-shift vector, (u,v)-shift vector]."); |
| |
ob1 = getoa(ob,1); |
| |
if (ob1.tag != Sarray) { |
| |
if ((ob1.tag == Sdollar) && (strcmp(KopString(ob1),"value")==0)) { |
| |
/* Reporting the value. It is done below. */ |
| |
}else if ((ob1.tag == Sdollar) && (strcmp(KopString(ob1),"reset")==0)) { |
| |
KresetDegreeShift(); |
| |
} |
| |
rob = newObjectArray(2); |
| |
putoa(rob,0,DegreeShiftD); |
| |
putoa(rob,1,DegreeShifto); |
| |
return rob; |
| |
} |
| |
|
| |
if (getoaSize(ob1) == 2) { |
| |
/* [(degreeShift) [ [1 2] [3 4] ] ...] homogenize */ |
| |
/* (0,1)-h (u,v)-s */ |
| |
DegreeShiftD = getoa(ob1,0); |
| |
dssize = getoaSize(DegreeShiftD); |
| |
ds = (int *)sGC_malloc(sizeof(int)*(dssize>0?dssize:1)); |
| |
if (ds == NULL) errorKan1("%s\n","no more memory."); |
| |
for (i=0; i<dssize; i++) { |
| |
ds[i] = objToInteger(getoa(DegreeShiftD,i)); |
| |
} |
| |
DegreeShiftD_size = dssize; |
| |
DegreeShiftD_vec = ds; |
| |
|
| |
DegreeShifto = getoa(ob1,1); |
| |
dssize = getoaSize(DegreeShifto); |
| |
ds = (int *)sGC_malloc(sizeof(int)*(dssize>0?dssize:1)); |
| |
if (ds == NULL) errorKan1("%s\n","no more memory."); |
| |
for (i=0; i<dssize; i++) { |
| |
ds[i] = objToInteger(getoa(DegreeShifto,i)); |
| |
} |
| |
DegreeShifto_size = dssize; |
| |
DegreeShifto_vec = ds; |
| |
}else if (getoaSize(ob1) == 1) { |
| |
/* Set only for (0,1)-h */ |
| |
DegreeShiftD = getoa(ob1,0); |
| |
dssize = getoaSize(DegreeShiftD); |
| |
ds = (int *)sGC_malloc(sizeof(int)*(dssize>0?dssize:1)); |
| |
if (ds == NULL) errorKan1("%s\n","no more memory."); |
| |
for (i=0; i<dssize; i++) { |
| |
ds[i] = objToInteger(getoa(DegreeShiftD,i)); |
| |
} |
| |
DegreeShiftD_size = dssize; |
| |
DegreeShiftD_vec = ds; |
| |
} |
| |
|
| |
ds = DegreeShifto_vec; |
| |
dssize = DegreeShifto_size; |
| |
|
| |
if (size == 2) { |
| |
rob = newObjectArray(2); |
| |
putoa(rob,0,DegreeShiftD); |
| |
putoa(rob,1,DegreeShifto); |
| |
return rob; |
| |
}else{ |
| |
ob2 = getoa(ob,2); |
| |
if (ob2.tag == Spoly) { |
| |
f = goHomogenize11(KopPOLY(ob2),ds,dssize,-1,onlyS); |
| |
rob = KpoPOLY(f); |
| |
}else if (ob2.tag == SuniversalNumber) { |
| |
rob = ob2; |
| |
}else if (ob2.tag == Sarray) { |
| |
int mm; |
| |
mm = getoaSize(ob2); |
| |
f = objArrayToPOLY(ob2); |
| |
f = goHomogenize11(f,ds,dssize,-1,onlyS); |
| |
rob = POLYtoObjArray(f,mm); |
| |
}else{ |
| |
errorKan1("%s\n","homogenizeObject_go(): invalid object for the third element."); |
| |
} |
| |
} |
| |
}else{ |
| |
errorKan1("%s\n","homogenizeObject_go(): unknown key word."); |
| |
} |
| |
return( rob ); |
| |
} |
| |
|
| |
|
| 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 934 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 962 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 978 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; |
| int w[2*N0]; |
int w[2*N0]; |
| int n,i; |
int n,i; |
| struct object ow; |
struct object ow; |
| |
int shiftvec; |
| |
struct object oShift; |
| |
int *s; |
| |
int ssize,m; |
| |
|
| |
shiftvec = 0; |
| |
s = NULL; |
| |
|
| if (oWeight.tag != Sarray) { |
if (oWeight.tag != Sarray) { |
| errorKan1("%s\n","oInitW(): the second argument must be array."); |
errorKan1("%s\n","oInitW(): the second argument must be array."); |
| } |
} |
| n = getoaSize(oWeight); |
n = getoaSize(oWeight); |
| |
if (n == 0) { |
| |
m = getoaSize(ob); |
| |
f = objArrayToPOLY(ob); |
| |
f = head(f); |
| |
return POLYtoObjArray(f,m); |
| |
} |
| |
if (getoa(oWeight,0).tag == Sarray) { |
| |
if (n != 2) errorKan1("%s\n","oInitW(): the size of the second argument should be 2."); |
| |
shiftvec = 1; |
| |
oShift = getoa(oWeight,1); |
| |
oWeight = getoa(oWeight,0); |
| |
if (oWeight.tag != Sarray) { |
| |
errorKan1("%s\n","oInitW(): the weight vector must be array."); |
| |
} |
| |
n = getoaSize(oWeight); |
| |
if (oShift.tag != Sarray) { |
| |
errorKan1("%s\n","oInitW(): the shift vector must be array."); |
| |
} |
| |
} |
| |
/* oWeight = Ksm1WeightExpressionToVec(oWeight); */ |
| if (n >= 2*N0) errorKan1("%s\n","oInitW(): the size of the second argument is invalid."); |
if (n >= 2*N0) errorKan1("%s\n","oInitW(): the size of the second argument is invalid."); |
| for (i=0; i<n; i++) { |
for (i=0; i<n; i++) { |
| ow = getoa(oWeight,i); |
ow = getoa(oWeight,i); |
| |
if (ow.tag == SuniversalNumber) { |
| |
ow = KpoInteger(coeffToInt(ow.lc.universalNumber)); |
| |
} |
| if (ow.tag != Sinteger) { |
if (ow.tag != Sinteger) { |
| errorKan1("%s\n","oInitW(): the entries of the second argument must be integers."); |
errorKan1("%s\n","oInitW(): the entries of the second argument must be integers."); |
| } |
} |
| w[i] = KopInteger(ow); |
w[i] = KopInteger(ow); |
| } |
} |
| |
if (shiftvec) { |
| |
ssize = getoaSize(oShift); |
| |
s = (int *)sGC_malloc(sizeof(int)*(ssize+1)); |
| |
if (s == NULL) errorKan1("%s\n","oInitW() no more memory."); |
| |
for (i=0; i<ssize; i++) { |
| |
ow = getoa(oShift,i); |
| |
if (ow.tag == SuniversalNumber) { |
| |
ow = KpoInteger(coeffToInt(ow.lc.universalNumber)); |
| |
} |
| |
if (ow.tag != Sinteger) { |
| |
errorKan1("%s\n","oInitW(): the entries of shift vector must be integers."); |
| |
} |
| |
s[i] = KopInteger(ow); |
| |
} |
| |
} |
| |
|
| switch(ob.tag) { |
switch(ob.tag) { |
| case Spoly: |
case Spoly: |
| f = KopPOLY(ob); |
f = KopPOLY(ob); |
| return( KpoPOLY(POLYToInitW(f,w))); |
if (shiftvec) { |
| |
return( KpoPOLY(POLYToInitWS(f,w,s))); |
| |
}else{ |
| |
return( KpoPOLY(POLYToInitW(f,w))); |
| |
} |
| break; |
break; |
| |
case Sarray: |
| |
m = getoaSize(ob); |
| |
f = objArrayToPOLY(ob); |
| |
/* printf("1.%s\n",POLYToString(f,'*',1)); */ |
| |
if (shiftvec) { |
| |
f = POLYToInitWS(f,w,s); |
| |
}else{ |
| |
f = POLYToInitW(f,w); |
| |
} |
| |
/* printf("2.%s\n",POLYToString(f,'*',1)); */ |
| |
|
| |
return POLYtoObjArray(f,m); |
| default: |
default: |
| errorKan1("%s\n","oInitW(): Argument must be polynomial."); |
errorKan1("%s\n","oInitW(): Argument must be polynomial or a vector of polynomials"); |
| break; |
break; |
| } |
} |
| } |
} |
| |
|
| |
POLY objArrayToPOLY(struct object ob) { |
| |
int m; |
| |
POLY f; |
| |
POLY t; |
| |
int i,n; |
| |
struct ring *ringp; |
| |
if (ob.tag != Sarray) errorKan1("%s\n", "objArrayToPOLY() the argument must be an array."); |
| |
m = getoaSize(ob); |
| |
ringp = NULL; |
| |
f = POLYNULL; |
| |
for (i=0; i<m; i++) { |
| |
if (getoa(ob,i).tag != Spoly) errorKan1("%s\n","objArrayToPOLY() elements must be a polynomial."); |
| |
t = KopPOLY(getoa(ob,i)); |
| |
if (t ISZERO) { |
| |
}else{ |
| |
if (ringp == NULL) { |
| |
ringp = t->m->ringp; |
| |
n = ringp->n; |
| |
if (n - ringp->nn <= 0) errorKan1("%s\n","Graduation variable in D is not given."); |
| |
} |
| |
t = (*mpMult)(cxx(1,n-1,i,ringp),t); |
| |
f = ppAddv(f,t); |
| |
} |
| |
} |
| |
return f; |
| |
} |
| |
|
| |
struct object POLYtoObjArray(POLY f,int size) { |
| |
struct object rob; |
| |
POLY *pa; |
| |
int d,n,i; |
| |
POLY t; |
| |
if (size < 0) errorKan1("%s\n","POLYtoObjArray() invalid size."); |
| |
rob = newObjectArray(size); |
| |
pa = (POLY *) sGC_malloc(sizeof(POLY)*(size+1)); |
| |
if (pa == NULL) errorKan1("%s\n","POLYtoObjArray() no more memory."); |
| |
for (i=0; i<size; i++) { |
| |
pa[i] = POLYNULL; |
| |
putoa(rob,i,KpoPOLY(pa[i])); |
| |
} |
| |
if (f == POLYNULL) { |
| |
return rob; |
| |
} |
| |
n = f->m->ringp->n; |
| |
while (f != POLYNULL) { |
| |
d = f->m->e[n-1].x; |
| |
if (d >= size) errorKan1("%s\n","POLYtoObjArray() size is too small."); |
| |
t = newCell(coeffCopy(f->coeffp),monomialCopy(f->m)); |
| |
i = t->m->e[n-1].x; |
| |
t->m->e[n-1].x = 0; |
| |
pa[i] = ppAddv(pa[i],t); /* slow to add from the top. */ |
| |
f = f->next; |
| |
} |
| |
for (i=0; i<size; i++) { |
| |
putoa(rob,i,KpoPOLY(pa[i])); |
| |
} |
| |
return rob; |
| |
} |
| |
|
| |
struct object KordWsAll(ob,oWeight) |
| |
struct object ob; |
| |
struct object oWeight; |
| |
{ |
| |
POLY f; |
| |
struct object rob; |
| |
int w[2*N0]; |
| |
int n,i; |
| |
struct object ow; |
| |
int shiftvec; |
| |
struct object oShift; |
| |
int *s; |
| |
int ssize,m; |
| |
|
| |
shiftvec = 0; |
| |
s = NULL; |
| |
|
| |
if (oWeight.tag != Sarray) { |
| |
errorKan1("%s\n","ordWsAll(): the second argument must be array."); |
| |
} |
| |
n = getoaSize(oWeight); |
| |
if (n == 0) { |
| |
m = getoaSize(ob); |
| |
f = objArrayToPOLY(ob); |
| |
f = head(f); |
| |
return POLYtoObjArray(f,m); |
| |
} |
| |
if (getoa(oWeight,0).tag == Sarray) { |
| |
if (n != 2) errorKan1("%s\n","ordWsAll(): the size of the second argument should be 2."); |
| |
shiftvec = 1; |
| |
oShift = getoa(oWeight,1); |
| |
oWeight = getoa(oWeight,0); |
| |
if (oWeight.tag != Sarray) { |
| |
errorKan1("%s\n","ordWsAll(): the weight vector must be array."); |
| |
} |
| |
n = getoaSize(oWeight); |
| |
if (oShift.tag != Sarray) { |
| |
errorKan1("%s\n","ordWsAll(): the shift vector must be array."); |
| |
} |
| |
} |
| |
/* oWeight = Ksm1WeightExpressionToVec(oWeight); */ |
| |
if (n >= 2*N0) errorKan1("%s\n","ordWsAll(): the size of the second argument is invalid."); |
| |
for (i=0; i<n; i++) { |
| |
ow = getoa(oWeight,i); |
| |
if (ow.tag == SuniversalNumber) { |
| |
ow = KpoInteger(coeffToInt(ow.lc.universalNumber)); |
| |
} |
| |
if (ow.tag != Sinteger) { |
| |
errorKan1("%s\n","ordWsAll(): the entries of the second argument must be integers."); |
| |
} |
| |
w[i] = KopInteger(ow); |
| |
} |
| |
if (shiftvec) { |
| |
ssize = getoaSize(oShift); |
| |
s = (int *)sGC_malloc(sizeof(int)*(ssize+1)); |
| |
if (s == NULL) errorKan1("%s\n","ordWsAll() no more memory."); |
| |
for (i=0; i<ssize; i++) { |
| |
ow = getoa(oShift,i); |
| |
if (ow.tag == SuniversalNumber) { |
| |
ow = KpoInteger(coeffToInt(ow.lc.universalNumber)); |
| |
} |
| |
if (ow.tag != Sinteger) { |
| |
errorKan1("%s\n","ordWsAll(): the entries of shift vector must be integers."); |
| |
} |
| |
s[i] = KopInteger(ow); |
| |
} |
| |
} |
| |
|
| |
switch(ob.tag) { |
| |
case Spoly: |
| |
f = KopPOLY(ob); |
| |
if (f == POLYNULL) errorKan1("%s\n","ordWsAll(): the argument is 0"); |
| |
if (shiftvec) { |
| |
return( KpoInteger(ordWsAll(f,w,s))); |
| |
}else{ |
| |
return( KpoInteger(ordWsAll(f,w,(int *) NULL))); |
| |
} |
| |
break; |
| |
case Sarray: |
| |
m = getoaSize(ob); |
| |
f = objArrayToPOLY(ob); |
| |
if (f == POLYNULL) errorKan1("%s\n","ordWsAll(): the argument is 0"); |
| |
if (shiftvec) { |
| |
return KpoInteger(ordWsAll(f,w,s)); |
| |
}else{ |
| |
return KpoInteger(ordWsAll(f,w,(int *)NULL)); |
| |
} |
| |
default: |
| |
errorKan1("%s\n","ordWsAll(): Argument must be polynomial or a vector of polynomials"); |
| |
break; |
| |
} |
| |
} |
| |
|
| int KpolyLength(POLY f) { |
int KpolyLength(POLY f) { |
| int size; |
int size; |
| if (f == POLYNULL) return(1); |
if (f == POLYNULL) return(1); |
| Line 993 struct object KvectorToSchreyer_es(struct object obarr |
|
| Line 1350 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); |
| } |
} |
| } |
} |
| return(KpoPOLY(f)); |
return(KpoPOLY(f)); |
| |
} |
| |
|
| |
int objToInteger(struct object ob) { |
| |
if (ob.tag == Sinteger) { |
| |
return KopInteger(ob); |
| |
}else if (ob.tag == SuniversalNumber) { |
| |
return(coeffToInt(KopUniversalNumber(ob))); |
| |
}else { |
| |
errorKan1("%s\n","objToInteger(): invalid argument."); |
| |
} |
| |
} |
| |
|
| |
struct object KgetExponents(struct object obPoly,struct object otype) { |
| |
int type,asize,i; |
| |
POLY f; |
| |
POLY ff; |
| |
MONOMIAL tf; |
| |
struct object rob; |
| |
struct object tob; |
| |
static int nn,mm,ll,cc,n,m,l,c; |
| |
static struct ring *cr = (struct ring *)NULL; |
| |
extern struct ring *CurrentRingp; |
| |
int size,hsize,fsize,p,r; |
| |
|
| |
if (otype.tag == Sinteger) { |
| |
type = KopInteger(otype); |
| |
}else if (otype.tag == SuniversalNumber) { |
| |
type = coeffToInt(KopUniversalNumber(otype)); |
| |
}else { |
| |
errorKan1("%s\n","KgetExponents(): invalid translation type."); |
| |
} |
| |
|
| |
if (obPoly.tag == Spoly) { |
| |
f = KopPOLY(obPoly); |
| |
}else if (obPoly.tag == Sarray) { |
| |
asize = getoaSize(obPoly); |
| |
rob = newObjectArray(asize); |
| |
for (i=0; i<asize; i++) { |
| |
tob = KgetExponents(getoa(obPoly,i),otype); |
| |
putoa(rob,i,tob); |
| |
} |
| |
}else{ |
| |
errorKan1("%s\n","KgetExponents(): argument must be a polynomial."); |
| |
} |
| |
|
| |
/* type == 0 x,y,Dx,Dy (no commutative, no vector) |
| |
type == 1 x,y,h,Dx,Dy,H (commutative & no vector) |
| |
type == 2 x,y,Dx,Dy,h (commutative & no vector) |
| |
*/ |
| |
if (f ISZERO) { |
| |
cr = CurrentRingp; |
| |
}else{ |
| |
tf = f->m; |
| |
} |
| |
if (tf->ringp != cr) { |
| |
n = tf->ringp->n; |
| |
m = tf->ringp->m; |
| |
l = tf->ringp->l; |
| |
c = tf->ringp->c; |
| |
nn = tf->ringp->nn; |
| |
mm = tf->ringp->mm; |
| |
ll = tf->ringp->ll; |
| |
cc = tf->ringp->cc; |
| |
cr = tf->ringp; |
| |
} |
| |
if (type == 0) { |
| |
size = 0; |
| |
for (i=c; i<ll; i++) size += 2; |
| |
for (i=l; i<mm; i++) size += 2; |
| |
for (i=m; i<nn; i++) size += 2; |
| |
}else if (type == 1) { |
| |
size = 0; |
| |
for (i=0; i<cc; i++) size += 2; |
| |
for (i=c; i<ll; i++) size += 2; |
| |
for (i=l; i<mm; i++) size += 2; |
| |
for (i=m; i<nn; i++) size += 2; |
| |
}else if (type == 2) { |
| |
size = 0; |
| |
for (i=0; i<cc; i++) size += 1; |
| |
for (i=c; i<ll; i++) size += 2; |
| |
for (i=l; i<mm; i++) size += 2; |
| |
for (i=m; i<nn; i++) size += 2; |
| |
}else{ |
| |
errorKan1("%s\n","KgetExponent, unknown type."); |
| |
} |
| |
hsize = size/2; |
| |
if (f ISZERO) { |
| |
tob = newObjectArray(size); |
| |
for (i=0; i<size; i++) { |
| |
putoa(tob,i,KpoInteger(0)); |
| |
} |
| |
rob = newObjectArray(1); |
| |
putoa(rob,0,tob); |
| |
return rob; |
| |
} |
| |
fsize = 0; |
| |
ff = f; |
| |
while (ff != POLYNULL) { |
| |
fsize++; |
| |
ff = ff->next; |
| |
} |
| |
rob = newObjectArray(fsize); |
| |
|
| |
ff = f; |
| |
p = 0; |
| |
while (ff != POLYNULL) { |
| |
r = 0; |
| |
tob = newObjectArray(size); |
| |
tf = ff->m; |
| |
for (i=ll-1; i>=c; i--) { |
| |
putoa(tob,r,KpoInteger(tf->e[i].x)); |
| |
putoa(tob,hsize+r,KpoInteger(tf->e[i].D)); |
| |
r++; |
| |
} |
| |
for (i=mm-1; i>=l; i--) { |
| |
putoa(tob,r,KpoInteger(tf->e[i].x)); |
| |
putoa(tob,hsize+r,KpoInteger(tf->e[i].D)); |
| |
r++; |
| |
} |
| |
for (i=nn-1; i>=m; i--) { |
| |
putoa(tob,r,KpoInteger(tf->e[i].x)); |
| |
putoa(tob,hsize+r,KpoInteger(tf->e[i].D)); |
| |
r++; |
| |
} |
| |
if (type == 1) { |
| |
for (i=cc-1; i>=0; i--) { |
| |
putoa(tob,hsize+r,KpoInteger(tf->e[i].x)); |
| |
putoa(tob,r,KpoInteger(tf->e[i].D)); |
| |
r++; |
| |
} |
| |
}else if (type == 2) { |
| |
for (i=cc-1; i>=0; i--) { |
| |
putoa(tob,hsize+r,KpoInteger(tf->e[i].D)); |
| |
r++; |
| |
} |
| |
} |
| |
|
| |
putoa(rob,p,tob); |
| |
p++; |
| |
ff = ff->next; |
| |
} |
| |
return rob; |
| } |
} |