version 1.4, 2003/07/13 07:53:17 |
version 1.18, 2005/06/16 05:07:23 |
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/* $OpenXM$ */ |
/* $OpenXM: OpenXM/src/kan96xx/Kan/kanExport1.c,v 1.17 2005/06/09 04:09:22 takayama Exp $ */ |
#include <stdio.h> |
#include <stdio.h> |
#include "datatype.h" |
#include "datatype.h" |
#include "stackm.h" |
#include "stackm.h" |
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static int Message = 1; |
static int Message = 1; |
extern int KanGBmessage; |
extern int KanGBmessage; |
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struct object DegreeShifto = OINIT; |
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int DegreeShifto_size = 0; |
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int *DegreeShifto_vec = NULL; |
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struct object DegreeShiftD = OINIT; |
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int DegreeShiftD_size = 0; |
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int *DegreeShiftD_vec = NULL; |
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/** :kan, :ring */ |
/** :kan, :ring */ |
struct object Kreduction(f,set) |
struct object Kreduction(f,set) |
struct object f; |
struct object f; |
Line 20 struct object Kreduction(f,set) |
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Line 27 struct object Kreduction(f,set) |
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POLY r; |
POLY r; |
struct gradedPolySet *grG; |
struct gradedPolySet *grG; |
struct syz0 syz; |
struct syz0 syz; |
struct object rob; |
struct object rob = OINIT; |
int flag; |
int flag; |
extern int ReduceLowerTerms; |
extern int ReduceLowerTerms; |
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Line 39 struct object Kreduction(f,set) |
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Line 46 struct object Kreduction(f,set) |
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}else{ |
}else{ |
r = (*reduction)(f.lc.poly,grG,1,&syz); |
r = (*reduction)(f.lc.poly,grG,1,&syz); |
} |
} |
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/* outputGradedPolySet(grG,0); */ |
if (flag) { |
if (flag) { |
rob = newObjectArray(3); |
rob = newObjectArray(3); |
putoa(rob,0,KpoPOLY(r)); |
putoa(rob,0,KpoPOLY(r)); |
Line 62 struct object Kgroebner(ob) |
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Line 70 struct object Kgroebner(ob) |
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int needInput = 0; |
int needInput = 0; |
int countDown = 0; |
int countDown = 0; |
int cdflag = 0; |
int cdflag = 0; |
struct object ob1,ob2,ob2c; |
struct object ob1 = OINIT; |
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struct object ob2 = OINIT; |
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struct object ob2c = OINIT; |
int i; |
int i; |
struct gradedPolySet *grG; |
struct gradedPolySet *grG; |
struct pair *grP; |
struct pair *grP; |
struct arrayOfPOLY *a; |
struct arrayOfPOLY *a; |
struct object rob; |
struct object rob = OINIT; |
struct gradedPolySet *grBases; |
struct gradedPolySet *grBases; |
struct matrixOfPOLY *mp; |
struct matrixOfPOLY *mp; |
struct matrixOfPOLY *backwardMat; |
struct matrixOfPOLY *backwardMat; |
struct object ob1New; |
struct object ob1New = OINIT; |
extern char *F_groebner; |
extern char *F_groebner; |
extern int CheckHomogenization; |
extern int CheckHomogenization; |
extern int StopDegree; |
extern int StopDegree; |
int sdflag = 0; |
int sdflag = 0; |
int forceReduction = 0; |
int forceReduction = 0; |
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int reduceOnly = 0; |
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int ob1Size, ob2Size, noZeroEntry; |
int ob1Size, ob2Size, noZeroEntry; |
int *ob1ToOb2; |
int *ob1ToOb2; |
int *ob1ZeroPos; |
int *ob1ZeroPos; |
int method; |
int method; |
int j,k; |
int j,k; |
struct object rob2; |
struct object rob2 = OINIT; |
struct object rob3; |
struct object rob3 = OINIT; |
struct object rob4; |
struct object rob4 = OINIT; |
struct ring *myring; |
struct ring *myring; |
POLY f; |
POLY f; |
struct object orgB; |
struct object orgB = OINIT; |
struct object newB; |
struct object newB = OINIT; |
struct object orgC; |
struct object orgC = OINIT; |
struct object newC; |
struct object newC = OINIT; |
static struct object paddingVector(struct object ob, int table[], int m); |
static struct object paddingVector(struct object ob, int table[], int m); |
static struct object unitVector(int pos, int size,struct ring *r); |
static struct object unitVector(int pos, int size,struct ring *r); |
extern struct ring *CurrentRingp; |
extern struct ring *CurrentRingp; |
Line 122 struct object Kgroebner(ob) |
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Line 133 struct object Kgroebner(ob) |
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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; |
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}else if (strcmp(ob2c.lc.str,"reduceOnly")==0) { |
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reduceOnly = 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) { |
Line 226 struct object Kgroebner(ob) |
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Line 239 struct object Kgroebner(ob) |
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} |
} |
/* 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 243 struct object Kgroebner(ob) |
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Line 256 struct object Kgroebner(ob) |
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} |
} |
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a = arrayToArrayOfPOLY(ob2); |
a = arrayToArrayOfPOLY(ob2); |
grG = (*groebner)(a,needBack,needSyz,&grP,countDown,forceReduction); |
grG = (*groebner)(a,needBack,needSyz,&grP,countDown,forceReduction,reduceOnly); |
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if (strcmp(F_groebner,"gm") == 0 && (needBack || needSyz)) { |
if (strcmp(F_groebner,"gm") == 0 && (needBack || needSyz)) { |
warningKan("The options needBack and needSyz are ignored."); |
warningKan("The options needBack and needSyz are ignored."); |
Line 266 struct object Kgroebner(ob) |
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Line 279 struct object Kgroebner(ob) |
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fflush(stdout); |
fflush(stdout); |
} |
} |
mp = getSyzygy(grG,grP->next,&grBases,&backwardMat); |
mp = getSyzygy(grG,grP->next,&grBases,&backwardMat); |
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if (mp == NULL) errorKan1("%s\n","Internal error in getSyzygy(). BUG of sm1."); |
if (KanGBmessage) printf("Done.\n"); |
if (KanGBmessage) printf("Done.\n"); |
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putoa(rob,0,gradedPolySetToArray(grG,0)); |
putoa(rob,0,gradedPolySetToArray(grG,0)); |
Line 333 struct object Kgroebner(ob) |
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Line 347 struct object Kgroebner(ob) |
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static struct object paddingVector(struct object ob, int table[], int m) |
static struct object paddingVector(struct object ob, int table[], int m) |
{ |
{ |
struct object rob; |
struct object rob = OINIT; |
int i; |
int i; |
rob = newObjectArray(m); |
rob = newObjectArray(m); |
for (i=0; i<m; i++) { |
for (i=0; i<m; i++) { |
Line 348 static struct object paddingVector(struct object ob, i |
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Line 362 static struct object paddingVector(struct object ob, i |
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static struct object unitVector(int pos, int size,struct ring *r) |
static struct object unitVector(int pos, int size,struct ring *r) |
{ |
{ |
struct object rob; |
struct object rob = OINIT; |
int i; |
int i; |
POLY one; |
POLY one; |
rob = newObjectArray(size); |
rob = newObjectArray(size); |
Line 403 struct object polySetToArray(ps,keepRedundant) |
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Line 417 struct object polySetToArray(ps,keepRedundant) |
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int keepRedundant; |
int keepRedundant; |
{ |
{ |
int n,i,j; |
int n,i,j; |
struct object ob; |
struct object ob = OINIT; |
if (ps == (struct polySet *)NULL) return(newObjectArray(0)); |
if (ps == (struct polySet *)NULL) return(newObjectArray(0)); |
n = 0; |
n = 0; |
if (keepRedundant) { |
if (keepRedundant) { |
Line 429 struct object gradedPolySetToGradedArray(gps,keepRedun |
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Line 443 struct object gradedPolySetToGradedArray(gps,keepRedun |
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struct gradedPolySet *gps; |
struct gradedPolySet *gps; |
int keepRedundant; |
int keepRedundant; |
{ |
{ |
struct object ob,vec; |
struct object ob = OINIT; |
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struct object vec = OINIT; |
int i; |
int i; |
if (gps == (struct gradedPolySet *)NULL) return(NullObject); |
if (gps == (struct gradedPolySet *)NULL) return(NullObject); |
ob = newObjectArray(gps->maxGrade +1); |
ob = newObjectArray(gps->maxGrade +1); |
Line 447 struct object gradedPolySetToArray(gps,keepRedundant) |
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Line 462 struct object gradedPolySetToArray(gps,keepRedundant) |
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struct gradedPolySet *gps; |
struct gradedPolySet *gps; |
int keepRedundant; |
int keepRedundant; |
{ |
{ |
struct object ob,vec; |
struct object ob = OINIT; |
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struct object vec = OINIT; |
struct polySet *ps; |
struct polySet *ps; |
int k; |
int k; |
int i,j; |
int i,j; |
Line 486 struct object syzPolyToArray(size,f,grG) |
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Line 502 struct object syzPolyToArray(size,f,grG) |
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POLY f; |
POLY f; |
struct gradedPolySet *grG; |
struct gradedPolySet *grG; |
{ |
{ |
struct object ob; |
struct object ob = OINIT; |
int i,g0,i0,serial; |
int i,g0,i0,serial; |
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ob = newObjectArray(size); |
ob = newObjectArray(size); |
Line 496 struct object syzPolyToArray(size,f,grG) |
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Line 512 struct object syzPolyToArray(size,f,grG) |
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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 516 struct object getBackwardArray(grG) |
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Line 532 struct object getBackwardArray(grG) |
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/* use serial, del. cf. getBackwardTransformation(). */ |
/* use serial, del. cf. getBackwardTransformation(). */ |
int inputSize,outputSize; |
int inputSize,outputSize; |
int i,j,k; |
int i,j,k; |
struct object ob; |
struct object ob = OINIT; |
struct polySet *ps; |
struct polySet *ps; |
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inputSize = 0; outputSize = 0; |
inputSize = 0; outputSize = 0; |
Line 547 POLY arrayToPOLY(ob) |
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Line 563 POLY arrayToPOLY(ob) |
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struct object ob; |
struct object ob; |
{ |
{ |
int size,i; |
int size,i; |
struct object f; |
struct object f = OINIT; |
POLY r; |
POLY r; |
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; |
Line 596 struct object POLYToArray(ff) |
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Line 612 struct object POLYToArray(ff) |
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int k,i,matn,size; |
int k,i,matn,size; |
struct matrixOfPOLY *mat; |
struct matrixOfPOLY *mat; |
POLY ex,sizep; |
POLY ex,sizep; |
struct object ob; |
struct object ob = OINIT; |
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if (ff != ZERO) { |
if (ff != ZERO) { |
tf = ff->m; |
tf = ff->m; |
Line 656 struct object homogenizeObject(ob,gradep) |
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Line 672 struct object homogenizeObject(ob,gradep) |
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struct object ob; |
struct object ob; |
int *gradep; |
int *gradep; |
{ |
{ |
struct object rob,ob1; |
struct object rob = OINIT; |
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struct object ob1 = OINIT; |
int maxg; |
int maxg; |
int gr,flag,i,d,size; |
int gr,flag,i,d,size; |
struct ring *rp; |
struct ring *rp; |
Line 684 struct object homogenizeObject(ob,gradep) |
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Line 701 struct object homogenizeObject(ob,gradep) |
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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)); |
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; |
Line 722 struct object homogenizeObject_vec(ob,gradep) |
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Line 739 struct object homogenizeObject_vec(ob,gradep) |
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struct object ob; |
struct object ob; |
int *gradep; |
int *gradep; |
{ |
{ |
struct object rob,ob1; |
struct object rob = OINIT; |
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struct object ob1 = OINIT; |
int maxg; |
int maxg; |
int gr,i,size; |
int gr,i,size; |
POLY f; |
POLY f; |
Line 746 struct object homogenizeObject_vec(ob,gradep) |
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Line 764 struct object homogenizeObject_vec(ob,gradep) |
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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)); |
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); |
Line 766 struct object homogenizeObject_vec(ob,gradep) |
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Line 784 struct object homogenizeObject_vec(ob,gradep) |
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} |
} |
} |
} |
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void KresetDegreeShift() { |
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DegreeShifto = NullObject; |
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DegreeShifto_vec = (int *)NULL; |
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DegreeShifto_size = 0; |
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DegreeShiftD = NullObject; |
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DegreeShiftD_vec = (int *)NULL; |
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DegreeShiftD_size = 0; |
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} |
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struct object homogenizeObject_go(struct object ob,int *gradep) { |
struct object homogenizeObject_go(struct object ob,int *gradep) { |
int size,i,dssize,j; |
int size,i,dssize,j; |
struct object ob0; |
struct object ob0 = OINIT; |
struct object ob1; |
struct object ob1 = OINIT; |
struct object ob2; |
struct object ob2 = OINIT; |
struct object rob; |
struct object rob = OINIT; |
struct object tob; |
struct object tob = OINIT; |
struct object ob1t; |
struct object ob1t = OINIT; |
int *ds; |
int *ds; |
POLY f; |
POLY f; |
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int onlyS; |
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onlyS = 0; /* default value */ |
rob = NullObject; |
rob = NullObject; |
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/*printf("[%d,%d]\n",DegreeShiftD_size,DegreeShifto_size);*/ |
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if (DegreeShifto_size == 0) DegreeShifto = NullObject; |
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if (DegreeShiftD_size == 0) DegreeShiftD = NullObject; |
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/* |
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DegreeShiftD : Degree shift vector for (0,1)-h-homogenization, |
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which is {\vec n} in G-O paper. |
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It is used in dGrade1() redm.c |
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DegreeShifto : Degree shift vector for (u,v)-s-homogenization |
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which is used only in ecart division and (u,v) is |
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usually (-1,1). |
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This shift vector is written {\vec v} in G-O paper. |
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It may differ from the degree shift for the ring, |
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which is used to get (minimal) Schreyer resolution. |
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This shift vector is denoted by {\vec m} in G-O paper. |
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It is often used as an argument for uvGrade1 and |
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goHomogenize* |
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*/ |
if (ob.tag != Sarray) errorKan1("%s\n","homogenizeObject_go(): Invalid argument data type."); |
if (ob.tag != Sarray) errorKan1("%s\n","homogenizeObject_go(): Invalid argument data type."); |
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size = getoaSize(ob); |
size = getoaSize(ob); |
Line 786 struct object homogenizeObject_go(struct object ob,int |
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Line 833 struct object homogenizeObject_go(struct object ob,int |
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errorKan1("%s\n","homogenizeObject_go(): the first argument must be a string."); |
errorKan1("%s\n","homogenizeObject_go(): the first argument must be a string."); |
} |
} |
if (strcmp(KopString(ob0),"degreeShift") == 0) { |
if (strcmp(KopString(ob0),"degreeShift") == 0) { |
if (size != 3) |
if (size < 2) |
errorKan1("%s\n","homogenizeObject_go(): [(degreeShift) shift-vector obj]"); |
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); ob2 = getoa(ob,2); |
ob1 = getoa(ob,1); |
dssize = getoaSize(ob1); |
if (ob1.tag != Sarray) { |
ds = (int *)sGC_malloc(sizeof(int)*(dssize>0?dssize:1)); |
if ((ob1.tag == Sdollar) && (strcmp(KopString(ob1),"value")==0)) { |
for (i=0; i<dssize; i++) { |
/* Reporting the value. It is done below. */ |
ds[i] = objToInteger(getoa(ob1,i)); |
}else if ((ob1.tag == Sdollar) && (strcmp(KopString(ob1),"reset")==0)) { |
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KresetDegreeShift(); |
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} |
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rob = newObjectArray(2); |
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putoa(rob,0,DegreeShiftD); |
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putoa(rob,1,DegreeShifto); |
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return rob; |
} |
} |
if (ob2.tag == Spoly) { |
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f = goHomogenize11(KopPOLY(ob2),ds,dssize,-1); |
if (getoaSize(ob1) == 2) { |
rob = KpoPOLY(f); |
/* [(degreeShift) [ [1 2] [3 4] ] ...] homogenize */ |
}else if (ob2.tag == SuniversalNumber) { |
/* (0,1)-h (u,v)-s */ |
rob = ob2; |
DegreeShiftD = getoa(ob1,0); |
}else if (ob2.tag == Sarray) { |
dssize = getoaSize(DegreeShiftD); |
rob = newObjectArray(getoaSize(ob2)); |
ds = (int *)sGC_malloc(sizeof(int)*(dssize>0?dssize:1)); |
for (i=0; i<getoaSize(ob2); i++) { |
if (ds == NULL) errorKan1("%s\n","no more memory."); |
tob = newObjectArray(3); |
for (i=0; i<dssize; i++) { |
ob1t = newObjectArray(dssize); |
ds[i] = objToInteger(getoa(DegreeShiftD,i)); |
if (getoa(ob2,i).tag == Spoly) { |
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for (j=0; j<dssize; j++) getoa(ob1t,j) = KpoInteger(0); |
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for (j=0; j<dssize-i; j++) getoa(ob1t,j) = getoa(ob1,j+i); |
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}else{ |
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ob1t = ob1; |
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} |
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getoa(tob,0) = ob0; getoa(tob,1) = ob1t; getoa(tob,2) = getoa(ob2,i); |
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getoa(rob,i) = homogenizeObject_go(tob,gradep); |
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} |
} |
}else{ |
DegreeShiftD_size = dssize; |
errorKan1("%s\n","homogenizeObject_go(): invalid object for the third element."); |
DegreeShiftD_vec = ds; |
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DegreeShifto = getoa(ob1,1); |
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dssize = getoaSize(DegreeShifto); |
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ds = (int *)sGC_malloc(sizeof(int)*(dssize>0?dssize:1)); |
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if (ds == NULL) errorKan1("%s\n","no more memory."); |
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for (i=0; i<dssize; i++) { |
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ds[i] = objToInteger(getoa(DegreeShifto,i)); |
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} |
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DegreeShifto_size = dssize; |
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DegreeShifto_vec = ds; |
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}else if (getoaSize(ob1) == 1) { |
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/* Set only for (0,1)-h */ |
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DegreeShiftD = getoa(ob1,0); |
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dssize = getoaSize(DegreeShiftD); |
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ds = (int *)sGC_malloc(sizeof(int)*(dssize>0?dssize:1)); |
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if (ds == NULL) errorKan1("%s\n","no more memory."); |
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for (i=0; i<dssize; i++) { |
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ds[i] = objToInteger(getoa(DegreeShiftD,i)); |
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} |
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DegreeShiftD_size = dssize; |
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DegreeShiftD_vec = ds; |
} |
} |
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ds = DegreeShifto_vec; |
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dssize = DegreeShifto_size; |
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if (size == 2) { |
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rob = newObjectArray(2); |
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putoa(rob,0,DegreeShiftD); |
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putoa(rob,1,DegreeShifto); |
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return rob; |
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}else{ |
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ob2 = getoa(ob,2); |
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if (ob2.tag == Spoly) { |
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f = goHomogenize11(KopPOLY(ob2),ds,dssize,-1,onlyS); |
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rob = KpoPOLY(f); |
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}else if (ob2.tag == SuniversalNumber) { |
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rob = ob2; |
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}else if (ob2.tag == Sarray) { |
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int mm; |
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mm = getoaSize(ob2); |
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f = objArrayToPOLY(ob2); |
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f = goHomogenize11(f,ds,dssize,-1,onlyS); |
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rob = POLYtoObjArray(f,mm); |
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}else{ |
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errorKan1("%s\n","homogenizeObject_go(): invalid object for the third element."); |
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} |
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} |
}else{ |
}else{ |
errorKan1("%s\n","homogenizeObject_go(): unknown key word."); |
errorKan1("%s\n","homogenizeObject_go(): unknown key word."); |
} |
} |
return( rob ); |
return( rob ); |
} |
} |
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Line 882 struct object oPrincipalPart(ob) |
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Line 974 struct object oPrincipalPart(ob) |
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struct object ob; |
struct object ob; |
{ |
{ |
POLY f; |
POLY f; |
struct object rob; |
struct object rob = OINIT; |
|
|
switch(ob.tag) { |
switch(ob.tag) { |
case Spoly: |
case Spoly: |
Line 899 struct object oInitW(ob,oWeight) |
|
Line 991 struct object oInitW(ob,oWeight) |
|
struct object oWeight; |
struct object oWeight; |
{ |
{ |
POLY f; |
POLY f; |
struct object rob; |
struct object rob = OINIT; |
int w[2*N0]; |
int w[2*N0]; |
int n,i; |
int n,i; |
struct object ow; |
struct object ow = OINIT; |
|
int shiftvec; |
|
struct object oShift = OINIT; |
|
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."); |
} |
} |
|
oWeight = Kto_int32(oWeight); |
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."); |
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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 = OINIT; |
|
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 = OINIT; |
|
int w[2*N0]; |
|
int n,i; |
|
struct object ow = OINIT; |
|
int shiftvec; |
|
struct object oShift = OINIT; |
|
int *s; |
|
int ssize,m; |
|
|
|
shiftvec = 0; |
|
s = NULL; |
|
|
|
if (oWeight.tag != Sarray) { |
|
errorKan1("%s\n","ordWsAll(): the second argument must be array."); |
|
} |
|
oWeight = Kto_int32(oWeight); |
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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); |
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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))); |
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}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 953 int validOutputOrder(int ord[],int n) { |
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Line 1261 int validOutputOrder(int ord[],int n) { |
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struct object KsetOutputOrder(struct object ob, struct ring *rp) |
struct object KsetOutputOrder(struct object ob, struct ring *rp) |
{ |
{ |
int n,i; |
int n,i; |
struct object ox; |
struct object ox = OINIT; |
struct object otmp; |
struct object otmp = OINIT; |
int *xxx; |
int *xxx; |
int *ddd; |
int *ddd; |
if (ob.tag != Sarray) { |
if (ob.tag != Sarray) { |
Line 985 struct object KsetOutputOrder(struct object ob, struct |
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Line 1293 struct object KsetOutputOrder(struct object ob, struct |
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|
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struct object KschreyerSkelton(struct object g) |
struct object KschreyerSkelton(struct object g) |
{ |
{ |
struct object rob; |
struct object rob = OINIT; |
struct object ij; |
struct object ij = OINIT; |
struct object ab; |
struct object ab = OINIT; |
struct object tt; |
struct object tt = OINIT; |
struct arrayOfPOLY *ap; |
struct arrayOfPOLY *ap; |
struct arrayOfMonomialSyz ans; |
struct arrayOfMonomialSyz ans; |
int k; |
int k; |
Line 1034 struct object KvectorToSchreyer_es(struct object obarr |
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Line 1342 struct object KvectorToSchreyer_es(struct object obarr |
|
int nn; |
int nn; |
POLY f; |
POLY f; |
POLY g; |
POLY g; |
struct object ob; |
struct object ob = OINIT; |
struct ring *rp; |
struct ring *rp; |
if (obarray.tag != Sarray) { |
if (obarray.tag != Sarray) { |
errorKan1("%s\n","KvectorToSchreyer_es(): argument must be an array of polynomials."); |
errorKan1("%s\n","KvectorToSchreyer_es(): argument must be an array of polynomials."); |
Line 1063 struct object KvectorToSchreyer_es(struct object obarr |
|
Line 1371 struct object KvectorToSchreyer_es(struct object obarr |
|
|
|
int objToInteger(struct object ob) { |
int objToInteger(struct object ob) { |
if (ob.tag == Sinteger) { |
if (ob.tag == Sinteger) { |
return KopInteger(ob); |
return KopInteger(ob); |
}else if (ob.tag == SuniversalNumber) { |
}else if (ob.tag == SuniversalNumber) { |
return(coeffToInt(KopUniversalNumber(ob))); |
return(coeffToInt(KopUniversalNumber(ob))); |
}else { |
}else { |
errorKan1("%s\n","objToInteger(): invalid argument."); |
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 = OINIT; |
|
struct object tob = OINIT; |
|
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); |
|
} |
|
return rob; |
|
}else{ |
|
errorKan1("%s\n","KgetExponents(): argument must be a polynomial."); |
|
} |
|
|
|
/* type == 0 x,y,Dx,Dy (no commutative, no vector) |
|
type == 1 x,y,Dx,Dy,h,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."); |
|
} |
|
if (type == 1 || type == 2) { |
|
hsize = (size-cc)/2; |
|
}else{ |
|
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].D)); |
|
r++; |
|
putoa(tob,hsize+r,KpoInteger(tf->e[i].x)); |
|
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; |
} |
} |