version 1.11, 2004/02/23 09:03:42 |
version 1.22, 2020/10/06 11:33:46 |
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/* $OpenXM: OpenXM/src/kan96xx/Kan/kanExport1.c,v 1.10 2003/08/27 03:11:12 takayama Exp $ */ |
/* $OpenXM: OpenXM/src/kan96xx/Kan/kanExport1.c,v 1.21 2005/07/03 11:08:53 ohara Exp $ */ |
#include <stdio.h> |
#include <stdio.h> |
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#include <string.h> |
#include "datatype.h" |
#include "datatype.h" |
#include "stackm.h" |
#include "stackm.h" |
#include "extern.h" |
#include "extern.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; |
struct object DegreeShifto = OINIT; |
int DegreeShifto_size = 0; |
int DegreeShifto_size = 0; |
int *DegreeShifto_vec = NULL; |
int *DegreeShifto_vec = NULL; |
struct object DegreeShiftD; |
struct object DegreeShiftD = OINIT; |
int DegreeShiftD_size = 0; |
int DegreeShiftD_size = 0; |
int *DegreeShiftD_vec = NULL; |
int *DegreeShiftD_vec = NULL; |
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static struct object paddingVector(struct object ob, int table[], int m); |
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static struct object unitVector(int pos, int size,struct ring *r); |
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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 27 struct object Kreduction(f,set) |
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Line 31 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 70 struct object Kgroebner(ob) |
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Line 74 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 gbCheck = 0; /* see @s/2005/06/16-note.pdf */ |
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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); |
struct object paddingVector(struct object ob, int table[], int m); |
static struct object unitVector(int pos, int size,struct ring *r); |
struct object unitVector(int pos, int size,struct ring *r); |
extern struct ring *CurrentRingp; |
extern struct ring *CurrentRingp; |
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StopDegree = 0x7fff; |
StopDegree = 0x7fff; |
Line 118 struct object Kgroebner(ob) |
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Line 126 struct object Kgroebner(ob) |
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if (ob2.tag != Sarray) { |
if (ob2.tag != Sarray) { |
errorKan1("%s\n","Kgroebner(): The options must be given by an array."); |
errorKan1("%s\n","Kgroebner(): The options must be given by an array."); |
} |
} |
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/* Note: If you add a new option, change /configureGroebnerOption, too */ |
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) { |
Line 130 struct object Kgroebner(ob) |
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Line 139 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; |
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}else if (strcmp(ob2c.lc.str,"gbCheck")==0) { |
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gbCheck = 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 251 struct object Kgroebner(ob) |
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Line 264 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,gbCheck); |
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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 296 struct object Kgroebner(ob) |
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Line 309 struct object Kgroebner(ob) |
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} |
} |
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/* To handle zero entries in the input. */ |
/* To handle zero entries in the input. */ |
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rob=KsetAttribute(rob,KpoString("gb"),KpoInteger(grG->gb)); |
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putoa(rob,0,KsetAttribute(getoa(rob,0),KpoString("gb"),KpoInteger(grG->gb))); |
if (noZeroEntry) { |
if (noZeroEntry) { |
return(rob); |
return(rob); |
} |
} |
Line 313 struct object Kgroebner(ob) |
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Line 328 struct object Kgroebner(ob) |
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rob2 = newObjectArray(2); |
rob2 = newObjectArray(2); |
putoa(rob2,0,getoa(rob,0)); |
putoa(rob2,0,getoa(rob,0)); |
putoa(rob2,1,newB); |
putoa(rob2,1,newB); |
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rob2=KsetAttribute(rob2,KpoString("gb"),KpoInteger(grG->gb)); |
return(rob2); |
return(rob2); |
break; |
break; |
case 3: |
case 3: |
Line 333 struct object Kgroebner(ob) |
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Line 349 struct object Kgroebner(ob) |
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putoa(rob2,0,getoa(rob,0)); |
putoa(rob2,0,getoa(rob,0)); |
putoa(rob2,1,newB); |
putoa(rob2,1,newB); |
putoa(rob2,2,newC); |
putoa(rob2,2,newC); |
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rob2=KsetAttribute(rob2,KpoString("gb"),KpoInteger(grG->gb)); |
return(rob2); |
return(rob2); |
break; |
break; |
default: |
default: |
Line 342 struct object Kgroebner(ob) |
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Line 359 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 357 static struct object paddingVector(struct object ob, i |
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Line 374 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 412 struct object polySetToArray(ps,keepRedundant) |
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Line 429 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 438 struct object gradedPolySetToGradedArray(gps,keepRedun |
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Line 455 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 456 struct object gradedPolySetToArray(gps,keepRedundant) |
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Line 474 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 495 struct object syzPolyToArray(size,f,grG) |
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Line 514 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 525 struct object getBackwardArray(grG) |
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Line 544 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 556 POLY arrayToPOLY(ob) |
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Line 575 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 605 struct object POLYToArray(ff) |
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Line 624 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 665 struct object homogenizeObject(ob,gradep) |
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Line 684 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 731 struct object homogenizeObject_vec(ob,gradep) |
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Line 751 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 786 void KresetDegreeShift() { |
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Line 807 void KresetDegreeShift() { |
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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; |
int onlyS; |
int onlyS; |
Line 965 struct object oPrincipalPart(ob) |
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Line 986 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; |
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switch(ob.tag) { |
switch(ob.tag) { |
case Spoly: |
case Spoly: |
Line 982 struct object oInitW(ob,oWeight) |
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Line 1003 struct object oInitW(ob,oWeight) |
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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; |
int shiftvec; |
struct object oShift; |
struct object oShift = OINIT; |
int *s; |
int *s; |
int ssize,m; |
int ssize,m; |
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Line 997 struct object oInitW(ob,oWeight) |
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Line 1018 struct object oInitW(ob,oWeight) |
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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."); |
} |
} |
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oWeight = Kto_int32(oWeight); |
n = getoaSize(oWeight); |
n = getoaSize(oWeight); |
if (n == 0) { |
if (n == 0) { |
m = getoaSize(ob); |
m = getoaSize(ob); |
Line 1100 POLY objArrayToPOLY(struct object ob) { |
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Line 1122 POLY objArrayToPOLY(struct object ob) { |
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} |
} |
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struct object POLYtoObjArray(POLY f,int size) { |
struct object POLYtoObjArray(POLY f,int size) { |
struct object rob; |
struct object rob = OINIT; |
POLY *pa; |
POLY *pa; |
int d,n,i; |
int d,n,i; |
POLY t; |
POLY t; |
Line 1136 struct object KordWsAll(ob,oWeight) |
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Line 1158 struct object KordWsAll(ob,oWeight) |
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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; |
int shiftvec; |
struct object oShift; |
struct object oShift = OINIT; |
int *s; |
int *s; |
int ssize,m; |
int ssize,m; |
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Line 1151 struct object KordWsAll(ob,oWeight) |
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Line 1173 struct object KordWsAll(ob,oWeight) |
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if (oWeight.tag != Sarray) { |
if (oWeight.tag != Sarray) { |
errorKan1("%s\n","ordWsAll(): the second argument must be array."); |
errorKan1("%s\n","ordWsAll(): the second argument must be array."); |
} |
} |
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oWeight = Kto_int32(oWeight); |
n = getoaSize(oWeight); |
n = getoaSize(oWeight); |
if (n == 0) { |
if (n == 0) { |
m = getoaSize(ob); |
m = getoaSize(ob); |
Line 1250 int validOutputOrder(int ord[],int n) { |
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Line 1273 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 1282 struct object KsetOutputOrder(struct object ob, struct |
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Line 1305 struct object KsetOutputOrder(struct object ob, struct |
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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 1331 struct object KvectorToSchreyer_es(struct object obarr |
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Line 1354 struct object KvectorToSchreyer_es(struct object obarr |
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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 1366 int objToInteger(struct object ob) { |
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Line 1389 int objToInteger(struct object ob) { |
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}else { |
}else { |
errorKan1("%s\n","objToInteger(): invalid argument."); |
errorKan1("%s\n","objToInteger(): invalid argument."); |
} |
} |
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} |
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struct object KgetExponents(struct object obPoly,struct object otype) { |
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int type,asize,i; |
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POLY f; |
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POLY ff; |
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MONOMIAL tf; |
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struct object rob = OINIT; |
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struct object tob = OINIT; |
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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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extern struct ring *CurrentRingp; |
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int size,hsize,fsize,p,r; |
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if (otype.tag == Sinteger) { |
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type = KopInteger(otype); |
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}else if (otype.tag == SuniversalNumber) { |
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type = coeffToInt(KopUniversalNumber(otype)); |
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}else { |
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errorKan1("%s\n","KgetExponents(): invalid translation type."); |
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} |
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if (obPoly.tag == Spoly) { |
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f = KopPOLY(obPoly); |
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}else if (obPoly.tag == Sarray) { |
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asize = getoaSize(obPoly); |
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rob = newObjectArray(asize); |
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for (i=0; i<asize; i++) { |
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tob = KgetExponents(getoa(obPoly,i),otype); |
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putoa(rob,i,tob); |
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} |
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return rob; |
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}else{ |
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errorKan1("%s\n","KgetExponents(): argument must be a polynomial."); |
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} |
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/* type == 0 x,y,Dx,Dy (no commutative, no vector) |
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type == 1 x,y,Dx,Dy,h,H (commutative & no vector) |
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type == 2 x,y,Dx,Dy,h (commutative & no vector) |
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*/ |
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if (f ISZERO) { |
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cr = CurrentRingp; |
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}else{ |
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tf = f->m; |
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} |
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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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if (type == 0) { |
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size = 0; |
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for (i=c; i<ll; i++) size += 2; |
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for (i=l; i<mm; i++) size += 2; |
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for (i=m; i<nn; i++) size += 2; |
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}else if (type == 1) { |
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size = 0; |
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for (i=0; i<cc; i++) size += 2; |
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for (i=c; i<ll; i++) size += 2; |
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for (i=l; i<mm; i++) size += 2; |
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for (i=m; i<nn; i++) size += 2; |
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}else if (type == 2) { |
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size = 0; |
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for (i=0; i<cc; i++) size += 1; |
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for (i=c; i<ll; i++) size += 2; |
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for (i=l; i<mm; i++) size += 2; |
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for (i=m; i<nn; i++) size += 2; |
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}else{ |
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errorKan1("%s\n","KgetExponent, unknown type."); |
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} |
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if (type == 1 || type == 2) { |
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hsize = (size-cc)/2; |
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}else{ |
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hsize = size/2; |
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} |
|
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; |
} |
} |