syz.h File Reference

#include "misc/mylimits.h"
#include "kernel/structs.h"
#include "polys/monomials/ring.h"
#include "kernel/ideals.h"

Go to the source code of this file.

Data Structures
struct	SObject
class	ssyStrategy

Macros
#define	SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE   8
#define	SYZ_SHIFT_BASE_LOG   (BIT_SIZEOF_LONG - 1 - SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE)
#define	SYZ_SHIFT_BASE   (1L << SYZ_SHIFT_BASE_LOG)

Typedefs
typedef SObject *	SSet
typedef SSet *	SRes
typedef ssyStrategy *	syStrategy

Functions
void	sySchreyersSyzygiesM (polyset F, int Fmax, polyset *Shdl, int *Smax, BOOLEAN noSort)
void	sySchreyersSyzygiesB (polyset F, int Fmax, polyset *Shdl, int *Smax, BOOLEAN noSort)
resolvente	sySchreyerResolvente (ideal arg, int maxlength, int *length, BOOLEAN isMonomial=FALSE, BOOLEAN notReplace=FALSE)
syStrategy	sySchreyer (ideal arg, int maxlength)
resolvente	syResolvente (ideal arg, int maxlength, int *length, intvec ***weights, BOOLEAN minim)
syStrategy	syResolution (ideal arg, int maxlength, intvec *w, BOOLEAN minim)
void	syMinimizeResolvente (resolvente res, int length, int first)
intvec *	syBetti (resolvente res, int length, int *regularity, intvec *weights=NULL, BOOLEAN tomin=TRUE, int *row_shift=NULL)
ideal	syMinBase (ideal arg)
BOOLEAN	syTestOrder (ideal i)
void	syReOrderResolventFB (resolvente res, int length, int initial=1)
resolvente	syLaScala1 (ideal arg, int *length)
syStrategy	syLaScala3 (ideal arg, int *length)
syStrategy	syLaScala (ideal arg, int &maxlength, intvec *weights=NULL)
syStrategy	syHilb (ideal arg, int *length)
syStrategy	syKosz (ideal arg, int *length)
syStrategy	syFrank (const ideal arg, const int length, const char *method, const bool use_cache=true, const bool use_tensor_trick=false)
void	syKillComputation (syStrategy syzstr, ring r=currRing)
intvec *	syBettiOfComputation (syStrategy syzstr, BOOLEAN minim=TRUE, int *row_shift=NULL, intvec *weights=NULL)
int	sySize (syStrategy syzstr)
int	syDim (syStrategy syzstr)
syStrategy	syCopy (syStrategy syzstr)
void	syPrint (syStrategy syzstr, const char *currRingName)
syStrategy	syMinimize (syStrategy syzstr)
void	syKillEmptyEntres (resolvente res, int length)
void	syDeletePair (SObject *so)
void	syInitializePair (SObject *so)
void	syCopyPair (SObject *argso, SObject *imso)
void	syCompactifyPairSet (SSet sPairs, int sPlength, int first)
void	syCompactify1 (SSet sPairs, int *sPlength, int first)
SRes	syInitRes (ideal arg, int *length, intvec *Tl, intvec *cw=NULL)
void	syResetShiftedComponents (syStrategy syzstr, int index, int hilb=0)
void	syEnlargeFields (syStrategy syzstr, int index)
void	syEnterPair (syStrategy syzstr, SObject *so, int *sPlength, int index)
SSet	syChosePairs (syStrategy syzstr, int *index, int *howmuch, int *actdeg)
int	syInitSyzMod (syStrategy syzstr, int index, int init=17)
long	syReorderShiftedComponents (long *sc, int n)
void	syGaussForOne (ideal arg, int gen, int ModComp, int from=-1, int till=0)
void	syEnterPair (SSet sPairs, SObject *so, int *sPlength, int index)
resolvente	syReorder (resolvente res, int length, syStrategy syzstr, BOOLEAN toCopy=TRUE, resolvente totake=NULL)
syStrategy	syMres_with_map (ideal arg, int maxlength, intvec *w, ideal &trans)
void	syMinimize_with_map (syStrategy res, ideal &trans)
syStrategy	syMinimizeCopy (syStrategy org)

Variables
EXTERN_VAR int *	currcomponents
EXTERN_VAR long *	currShiftedComponents

---

Data Structure Documentation

sSObject

struct sSObject

Definition at line 19 of file syz.h.

Data Fields
int	ind1
int	ind2
poly	isNotMinimal
poly	lcm
int	length
int	order
poly	p
poly	p1
poly	p2
int	reference
poly	syz
int	syzind

ssyStrategy

class ssyStrategy

Definition at line 37 of file syz.h.

Data Fields
int **	backcomponents
intvec *	betti
kBucket_pt	bucket
intvec *	cw
int **	elemLength
int **	Firstelem
resolvente	fullres
intvec **	hilb_coeffs
int **	Howmuch
int	length
short	list_length
resolvente	minres
resolvente	orderedRes
short	references
int	regularity
resolvente	res
intvec *	resolution
SRes	resPairs
unsigned long **	sev
long **	ShiftedComponents
ring	syRing
kBucket_pt	syz_bucket
intvec *	Tl
int **	truecomponents
intvec **	weights

Macro Definition Documentation

SYZ_SHIFT_BASE

#define SYZ_SHIFT_BASE   (1L << SYZ_SHIFT_BASE_LOG)

Definition at line 18 of file syz.h.

SYZ_SHIFT_BASE_LOG

#define SYZ_SHIFT_BASE_LOG   (BIT_SIZEOF_LONG - 1 - SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE)

Definition at line 17 of file syz.h.

SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE

#define SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE   8

Definition at line 15 of file syz.h.

Typedef Documentation

SRes

typedef SSet* SRes

Definition at line 33 of file syz.h.

SSet

typedef SObject* SSet

Definition at line 32 of file syz.h.

syStrategy

typedef ssyStrategy* syStrategy

Definition at line 36 of file syz.h.

Function Documentation

syBetti()

intvec * syBetti	(	resolvente	res,
		int	length,
		int *	regularity,
		intvec *	weights = NULL,
		BOOLEAN	tomin = TRUE,
		int *	row_shift = NULL
	)

Definition at line 771 of file syz.cc.

{
//#define BETTI_WITH_ZEROS
  //tomin = FALSE;
  int i,j=0,k=0,l,rows,cols,mr;
  int *temp1,*temp2,*temp3;/*used to compute degrees*/
  int *tocancel; /*(BOOLEAN)tocancel[i]=element is superfluous*/
  int r0_len;
 
  /*------ compute size --------------*/
  *regularity = -1;
  cols = length;
  while ((cols>0)
  && ((res[cols-1]==NULL)
    || (idIs0(res[cols-1]))))
  {
    cols--;
  }
  intvec * result;
  if (idIs0(res[0]))
  {
    if (res[0]==NULL)
      result = new intvec(1,1,1);
    else
      result = new intvec(1,1,res[0]->rank);
    return result;
  }
  intvec *w=NULL;
  if (weights!=NULL)
  {
    if (!idTestHomModule(res[0],currRing->qideal,weights))
    {
      WarnS("wrong weights given(3):");weights->show();PrintLn();
      idHomModule(res[0],currRing->qideal,&w);
      if (w!=NULL) { w->show();PrintLn();}
      weights=NULL;
    }
  }
#if 0
  if (idHomModule(res[0],currRing->qideal,&w)!=isHomog)
  {
    WarnS("betti-command: Input is not homogeneous!");
    weights=NULL;
  }
#endif
  if (weights==NULL) weights=w;
  else delete w;
  r0_len=IDELEMS(res[0]);
  while ((r0_len>0) && (res[0]->m[r0_len-1]==NULL)) r0_len--;
  #ifdef SHOW_W
  PrintS("weights:");if (weights!=NULL) weights->show(); else Print("NULL"); PrintLn();
  #endif
  int rkl=l = si_max(id_RankFreeModule(res[0],currRing),res[0]->rank);
  i = 0;
  while ((i<length) && (res[i]!=NULL))
  {
    if (IDELEMS(res[i])>l) l = IDELEMS(res[i]);
    i++;
  }
  temp1 = (int*)omAlloc0((l+1)*sizeof(int));
  temp2 = (int*)omAlloc((l+1)*sizeof(int));
  rows = 1;
  mr = 1;
  cols++;
  for (i=0;i<cols-1;i++)
  {
    if ((i==0) && (weights!=NULL)) p_SetModDeg(weights, currRing);
    memset(temp2,0,(l+1)*sizeof(int));
    for (j=0;j<IDELEMS(res[i]);j++)
    {
      if (res[i]->m[j]!=NULL)
      {
        if ((pGetComp(res[i]->m[j])>l)
        // usual resolutions do not the following, but artifulal built may: (tr. #763)
        //|| ((i>1) && (res[i-1]->m[pGetComp(res[i]->m[j])-1]==NULL))
        )
        {
          WerrorS("input not a resolution");
          omFreeSize((ADDRESS)temp1,(l+1)*sizeof(int));
          omFreeSize((ADDRESS)temp2,(l+1)*sizeof(int));
          return NULL;
        }
        temp2[j+1] = p_FDeg(res[i]->m[j],currRing)+temp1[pGetComp(res[i]->m[j])];
        if (temp2[j+1]-i>rows) rows = temp2[j+1]-i;
        if (temp2[j+1]-i<mr) mr = temp2[j+1]-i;
      }
    }
    if ((i==0) && (weights!=NULL)) p_SetModDeg(NULL, currRing);
    temp3 = temp1;
    temp1 = temp2;
    temp2 = temp3;
  }
  mr--;
  if (weights!=NULL)
  {
    for(j=0;j<weights->length();j++)
    {
      if (rows <(*weights)[j]+1) rows=(-mr)+(*weights)[j]+1;
    }
  }
  /*------ computation betti numbers --------------*/
  rows -= mr;
  result = new intvec(rows+1,cols,0);
  if (weights!=NULL)
  {
    for(j=0;j<weights->length();j++)
    {
      IMATELEM((*result),(-mr)+(*weights)[j]+1,1) ++;
      //Print("imat(%d,%d)++ -> %d\n",(-mr)+(*weights)[j]+1, 1, IMATELEM((*result),(-mr)+(*weights)[j]+1,1));
    }
  }
  else
  {
    (*result)[(-mr)*cols] = /*idRankFreeModule(res[0])*/ rkl;
    if ((!idIs0(res[0])) && ((*result)[(-mr)*cols]==0))
      (*result)[(-mr)*cols] = 1;
  }
  tocancel = (int*)omAlloc0((rows+1)*sizeof(int));
  memset(temp1,0,(l+1)*sizeof(int));
  if (weights!=NULL)
  {
    memset(temp2,0,l*sizeof(int));
    p_SetModDeg(weights, currRing);
  }
  else
    memset(temp2,0,l*sizeof(int));
  syDetect(res[0],0,TRUE,temp2,tocancel);
  if (weights!=NULL) p_SetModDeg(NULL, currRing);
  if (tomin)
  {
    //(*result)[(-mr)*cols] -= dummy;
    for(j=0;j<=rows+mr;j++)
    {
      //Print("tocancel[%d]=%d imat(%d,%d)=%d\n",j,tocancel[j],(-mr)+j+1,1,IMATELEM((*result),(-mr)+j+1,1));
      IMATELEM((*result),(-mr)+j+1,1) -= tocancel[j];
    }
  }
  for (i=0;i<cols-1;i++)
  {
    if ((i==0) && (weights!=NULL)) p_SetModDeg(weights, currRing);
    memset(temp2,0,l*sizeof(int));
    for (j=0;j<IDELEMS(res[i]);j++)
    {
      if (res[i]->m[j]!=NULL)
      {
        temp2[j+1] = p_FDeg(res[i]->m[j],currRing)+temp1[pGetComp(res[i]->m[j])];
        //(*result)[i+1+(temp2[j+1]-i-1)*cols]++;
        //if (temp2[j+1]>i) IMATELEM((*result),temp2[j+1]-i-mr,i+2)++;
        IMATELEM((*result),temp2[j+1]-i-mr,i+2)++;
      }
      else if (i==0)
      {
        if (j<r0_len) IMATELEM((*result),-mr,2)++;
      }
    }
  /*------ computation betti numbers, if res not minimal --------------*/
    if (tomin)
    {
      for (j=mr;j<rows+mr;j++)
      {
        //(*result)[i+1+j*cols] -= tocancel[j+1];
        IMATELEM((*result),j+1-mr,i+2) -= tocancel[j+1];
      }
      if ((i<length-1) && (res[i+1]!=NULL))
      {
        memset(tocancel,0,(rows+1)*sizeof(int));
        syDetect(res[i+1],i+1,TRUE,temp2,tocancel);
        for (j=0;j<rows;j++)
        {
          //(*result)[i+1+j*cols] -= tocancel[j];
          IMATELEM((*result),j+1,i+2) -= tocancel[j];
        }
      }
    }
    temp3 = temp1;
    temp1 = temp2;
    temp2 = temp3;
    for (j=0;j<=rows;j++)
    {
    //  if (((*result)[i+1+j*cols]!=0) && (j>*regularity)) *regularity = j;
      if ((IMATELEM((*result),j+1,i+2)!=0) && (j>*regularity)) *regularity = j;
    }
    if ((i==0) && (weights!=NULL)) p_SetModDeg(NULL, currRing);
  }
  // Print("nach minim:\n"); result->show(); PrintLn();
  /*------ clean up --------------*/
  omFreeSize((ADDRESS)tocancel,(rows+1)*sizeof(int));
  omFreeSize((ADDRESS)temp1,(l+1)*sizeof(int));
  omFreeSize((ADDRESS)temp2,(l+1)*sizeof(int));
  if ((tomin) && (mr<0))  // deletes the first (zero) line
  {
    for (j=1;j<=rows+mr+1;j++)
    {
      for (k=1;k<=cols;k++)
      {
        IMATELEM((*result),j,k) = IMATELEM((*result),j-mr,k);
      }
    }
    for (j=rows+mr+1;j<=rows+1;j++)
    {
      for (k=1;k<=cols;k++)
      {
        IMATELEM((*result),j,k) = 0;
      }
    }
  }
  j = 0;
  k = 0;
  for (i=1;i<=result->rows();i++)
  {
    for(l=1;l<=result->cols();l++)
    if (IMATELEM((*result),i,l) != 0)
    {
      j = si_max(j, i-1);
      k = si_max(k, l-1);
    }
  }
  intvec * exactresult=new intvec(j+1,k+1,0);
  for (i=0;i<exactresult->rows();i++)
  {
    for (j=0;j<exactresult->cols();j++)
    {
      IMATELEM(*exactresult,i+1,j+1) = IMATELEM(*result,i+1,j+1);
    }
  }
  if (row_shift!=NULL) *row_shift = mr;
  delete result;
  return exactresult;
}

syBettiOfComputation()

intvec * syBettiOfComputation	(	syStrategy	syzstr,
		BOOLEAN	minim = TRUE,
		int *	row_shift = NULL,
		intvec *	weights = NULL
	)

Don't change the syzstr???

Definition at line 1755 of file syz1.cc.

{
  int dummy;
  BOOLEAN std_weights=TRUE;
  if ((weights!=NULL)
  && (syzstr->betti!=NULL)
  && (syzstr->weights!=NULL) && (syzstr->weights[0]!=NULL))
  {
    int i;
    for(i=weights->length()-1; i>=0; i--)
    {
      //Print("test %d: %d - %d\n",i,(*weights)[i], (*(syzstr->weights[0]))[i]);
      if ((*weights)[i]!=(*(syzstr->weights[0]))[i])
      {
        std_weights=FALSE;
        break;
      }
    }
  }
  if ((syzstr->betti!=NULL)
  && (std_weights))
  {
    if (minim || (syzstr->resPairs!=NULL))
      return ivCopy(syzstr->betti);
  }
 
  resolvente fullres = syzstr->fullres;
  resolvente minres = syzstr->minres;
  const int length = syzstr->length;
 
  if ((fullres==NULL) && (minres==NULL))
  {
     if (syzstr->hilb_coeffs==NULL)
     { // LA SCALA
        fullres = syReorder(syzstr->res, length, syzstr);
     }
     else
     { //  HRES
        minres = syReorder(syzstr->orderedRes, length, syzstr);
        syKillEmptyEntres(minres, length);
     }
  }
 
  intvec *result=NULL;
 
  if (fullres!=NULL)
    result = syBetti(fullres,length,&dummy,weights,minim,row_shift);
  else
    result = syBetti(minres,length,&dummy,weights,minim,row_shift);
 
 
  return result; /// Don't change the syzstr???
 
  // TODO: cleanup these!
  if( fullres != NULL && syzstr->fullres == NULL )
    syzstr->fullres = fullres;
  if( minres != NULL && syzstr->minres == NULL )
    syzstr->minres = minres;
 
  if ((result!=NULL)
  && ((minim) || (syzstr->resPairs!=NULL))
  && std_weights
  && (syzstr->betti==NULL))
  {
    syzstr->betti = ivCopy(result); // cache the result...
  }
 
  return result;
}

syChosePairs()

SSet syChosePairs	(	syStrategy	syzstr,
		int *	index,
		int *	howmuch,
		int *	actdeg
	)

Definition at line 1288 of file syz1.cc.

{
  return syChosePairsPutIn(syzstr,index,howmuch,actdeg,0,syzstr->length);
}

syCompactify1()

void syCompactify1	(	SSet	sPairs,
		int *	sPlength,
		int	first
	)

Definition at line 132 of file syz1.cc.

{
  int k=first,kk=0;
 
  while (k+kk<*sPlength)
  {
    if (sPairs[k+kk].lcm!=NULL)
    {
      if (kk>0) syCopyPair(&sPairs[k+kk],&sPairs[k]);
      k++;
    }
    else
    {
      kk++;
    }
  }
  while (k<*sPlength)
  {
    syInitializePair(&sPairs[k]);
    k++;
  }
  *sPlength -= kk;
}

syCompactifyPairSet()

void syCompactifyPairSet	(	SSet	sPairs,
		int	sPlength,
		int	first
	)

Definition at line 104 of file syz1.cc.

{
  int k=first,kk=0;
 
  while (k+kk<sPlength)
  {
    if (sPairs[k+kk].lcm!=NULL)
    {
      if (kk>0) syCopyPair(&sPairs[k+kk],&sPairs[k]);
      k++;
    }
    else
    {
      kk++;
    }
  }
  while (k<sPlength)
  {
    syInitializePair(&sPairs[k]);
    k++;
  }
}

syCopy()

syStrategy syCopy

(

syStrategy

syzstr

)

Definition at line 1884 of file syz1.cc.

{
  syStrategy result=syzstr;
  (result->references)++;
  return result;
}

syCopyPair()

void syCopyPair	(	SObject *	argso,
		SObject *	imso
	)

Definition at line 82 of file syz1.cc.

{
  *imso=*argso;
  (*argso).p = NULL;
  (*argso).p1 = NULL;
  (*argso).p2 = NULL;
  (*argso).lcm = NULL;
  (*argso).syz = NULL;
  (*argso).ind1 = 0;
  (*argso).ind2 = 0;
  (*argso).syzind = -1;
  (*argso).order = 0;
  (*argso).isNotMinimal = NULL;
  (*argso).length = -1;
  (*argso).reference = -1;
}

syDeletePair()

void syDeletePair

(

SObject *

so

)

Definition at line 44 of file syz1.cc.

{
  pDelete(&(*so).p);
  pDelete(&(*so).lcm);
  pDelete(&(*so).syz);
  (*so).p1 = NULL;
  (*so).p2 = NULL;
  (*so).ind1 = 0;
  (*so).ind2 = 0;
  (*so).syzind = -1;
  (*so).order = 0;
  (*so).isNotMinimal = NULL;
  (*so).length = -1;
  (*so).reference = -1;
}

syDim()

int syDim

(

syStrategy

syzstr

)

Definition at line 1849 of file syz1.cc.

{
  int i,l;
  if (syzstr->resPairs!=NULL)
  {
    SRes rP=syzstr->resPairs;
 
    l = syzstr->length;
    while ((l>0) && (rP[l-1]==NULL)) l--;
    if (l==0) return -1;
    l--;
    while (l>=0)
    {
      i = 0;
      while ((i<(*syzstr->Tl)[l]) &&
        ((rP[l][i].lcm!=NULL) || (rP[l][i].syz!=NULL)) &&
        (rP[l][i].isNotMinimal!=NULL))
      {
        i++;
      }
      if ((i<(*syzstr->Tl)[l]) &&
        ((rP[l][i].lcm!=NULL) || (rP[l][i].syz!=NULL)) &&
        (rP[l][i].isNotMinimal==NULL))
        return l;
      l--;
    }
    return l;
  }
  else
    return sySize(syzstr);
}

syEnlargeFields()

void syEnlargeFields	(	syStrategy	syzstr,
		int	index
	)

Definition at line 734 of file syz1.cc.

{
  pEnlargeSet(&(syzstr->res[index]->m),IDELEMS(syzstr->res[index]),16);
  syzstr->truecomponents[index]=(int*)omRealloc0Size((ADDRESS)syzstr->truecomponents[index],
                               (IDELEMS(syzstr->res[index])+1)*sizeof(int),
                               (IDELEMS(syzstr->res[index])+17)*sizeof(int));
  syzstr->ShiftedComponents[index]
    =(long*)omRealloc0Size((ADDRESS)syzstr->ShiftedComponents[index],
                              (IDELEMS(syzstr->res[index])+1)*sizeof(long),
                              (IDELEMS(syzstr->res[index])+17)*sizeof(long));
  syzstr->backcomponents[index]=(int*)omRealloc0Size((ADDRESS)syzstr->backcomponents[index],
                               (IDELEMS(syzstr->res[index])+1)*sizeof(int),
                               (IDELEMS(syzstr->res[index])+17)*sizeof(int));
  syzstr->Howmuch[index]=(int*)omRealloc0Size((ADDRESS)syzstr->Howmuch[index],
                               (IDELEMS(syzstr->res[index])+1)*sizeof(int),
                               (IDELEMS(syzstr->res[index])+17)*sizeof(int));
  syzstr->Firstelem[index]=(int*)omRealloc0Size((ADDRESS)syzstr->Firstelem[index],
                               (IDELEMS(syzstr->res[index])+1)*sizeof(int),
                               (IDELEMS(syzstr->res[index])+17)*sizeof(int));
  syzstr->elemLength[index]=(int*)omRealloc0Size((ADDRESS)syzstr->elemLength[index],
                               (IDELEMS(syzstr->res[index])+1)*sizeof(int),
                               (IDELEMS(syzstr->res[index])+17)*sizeof(int));
  syzstr->sev[index]=(unsigned long*)omRealloc0Size((ADDRESS)syzstr->sev[index],
                                    (IDELEMS(syzstr->res[index])+1)*sizeof(unsigned long),
                               (IDELEMS(syzstr->res[index])+17)*sizeof(unsigned long));
  IDELEMS(syzstr->res[index]) += 16;
  pEnlargeSet(&(syzstr->orderedRes[index]->m),IDELEMS(syzstr->orderedRes[index]),16);
  IDELEMS(syzstr->orderedRes[index]) += 16;
}

syEnterPair() [1/2]

void syEnterPair	(	SSet	sPairs,
		SObject *	so,
		int *	sPlength,
		int	index
	)

Definition at line 985 of file syz1.cc.

{
  int ll,k,no=(*so).order,sP=*sPlength,i;
 
  if ((sP==0) || (sPairs[sP-1].order<=no))
    ll = sP;
  else if (sP==1)
    ll = 0;
  else
  {
    int an=0,en=sP-1;
    loop
    {
      if (an>=en-1)
      {
        if ((sPairs[an].order<=no) && (sPairs[an+1].order>no))
        {
          ll = an+1;
          break;
        }
        else if ((sPairs[en].order<=no) && (sPairs[en+1].order>no))
        {
          ll = en+1;
          break;
        }
        else if (sPairs[an].order>no)
        {
          ll = an;
          break;
        }
        else
        {
          PrintS("Hier ist was faul!\n");
          break;
        }
      }
      i=(an+en) / 2;
      if (sPairs[i].order <= no)
        an=i;
      else
        en=i;
    }
  }
  for (k=(*sPlength);k>ll;k--)
  {
    syCopyPair(&sPairs[k-1],&sPairs[k]);
  }
  syCopyPair(so,&sPairs[ll]);
  (*sPlength)++;
}

syEnterPair() [2/2]

void syEnterPair	(	syStrategy	syzstr,
		SObject *	so,
		int *	sPlength,
		int	index
	)

Definition at line 1035 of file syz1.cc.

{
  int ll;
 
  if (*sPlength>=(*syzstr->Tl)[index])
  {
    SSet temp = (SSet)omAlloc0(((*syzstr->Tl)[index]+16)*sizeof(SObject));
    for (ll=0;ll<(*syzstr->Tl)[index];ll++)
    {
      temp[ll].p = (syzstr->resPairs[index])[ll].p;
      temp[ll].p1 = (syzstr->resPairs[index])[ll].p1;
      temp[ll].p2 = (syzstr->resPairs[index])[ll].p2;
      temp[ll].syz = (syzstr->resPairs[index])[ll].syz;
      temp[ll].lcm = (syzstr->resPairs[index])[ll].lcm;
      temp[ll].ind1 = (syzstr->resPairs[index])[ll].ind1;
      temp[ll].ind2 = (syzstr->resPairs[index])[ll].ind2;
      temp[ll].syzind = (syzstr->resPairs[index])[ll].syzind;
      temp[ll].order = (syzstr->resPairs[index])[ll].order;
      temp[ll].isNotMinimal = (syzstr->resPairs[index])[ll].isNotMinimal;
      temp[ll].length = (syzstr->resPairs[index])[ll].length;
      temp[ll].reference = (syzstr->resPairs[index])[ll].reference;
    }
    if (syzstr->resPairs[index] != NULL) // OB: ?????
      omFreeSize((ADDRESS)syzstr->resPairs[index],(*syzstr->Tl)[index]*sizeof(SObject));
    (*syzstr->Tl)[index] += 16;
    syzstr->resPairs[index] = temp;
  }
  syEnterPair(syzstr->resPairs[index],so,sPlength,index);
}

syFrank()

syStrategy syFrank	(	const ideal	arg,
		const int	length,
		const char *	method,
		const bool	use_cache = true,
		const bool	use_tensor_trick = false
	)

Definition at line 792 of file syz4.cc.

{
    syStrategy result = (syStrategy)omAlloc0(sizeof(ssyStrategy));
    resolvente res = (resolvente)omAlloc0((length+1)*sizeof(ideal));
    if (strcmp(method, "frame") != 0)
    {
        res[0] = id_Copy(arg, currRing);
    }
    else
    {
        res[0] = id_Head(arg, currRing);
    }
    syzHeadFunction *syzHead;
    bool do_lifting;
    bool single_module;
    set_options(&syzHead, &do_lifting, &single_module, method);
    int new_length = computeResolution(res, length-1, syzHead, do_lifting,
            single_module, use_cache, use_tensor_trick);
    if (new_length < length)
    {
        res = (resolvente)omReallocSize(res, (length+1)*sizeof(ideal),
                (new_length+1)*sizeof(ideal));
    }
    if (strcmp(method, "frame") != 0)
    {
        insert_ext_induced_LTs(res, new_length, single_module);
    }
    result->fullres = res;
    result->length = new_length;
    result->list_length = new_length;
    return result;
}

syGaussForOne()

void syGaussForOne	(	ideal	arg,
		int	gen,
		int	ModComp,
		int	from = -1,
		int	till = 0
	)

Definition at line 218 of file syz.cc.

{
  int /*k,j,i,*/lu;
  poly unit1,unit2;
  poly actWith=syz->m[elnum];
 
  if (from<0) from = 0;
  if ((till<=0) || (till>IDELEMS(syz))) till = IDELEMS(syz);
  syz->m[elnum] = NULL;
  if (!rField_has_simple_inverse(currRing)) p_Cleardenom(actWith, currRing);
/*--makes Gauss alg. for the column ModComp--*/
  pTakeOutComp(&(actWith), ModComp, &unit1, &lu);
  while (from<till)
  {
    poly tmp=syz->m[from];
    if (/*syz->m[from]*/ tmp!=NULL)
    {
      pTakeOutComp(&(tmp), ModComp, &unit2, &lu);
      tmp = pMult(pCopy(unit1),tmp);
      syz->m[from] = pSub(tmp,
        pMult(unit2,pCopy(actWith)));
    }
    from++;
  }
  pDelete(&actWith);
  pDelete(&unit1);
}

syHilb()

syStrategy syHilb	(	ideal	arg,
		int *	length
	)

Definition at line 950 of file syz2.cc.

{
  int i,j,actdeg=32000,index=0;
  int howmuch,toSub=0;
  int maxindex=0,maxdeg=0;
  ideal temp=NULL;
  SSet nextPairs;
  ring origR = currRing;
  syStrategy syzstr=(syStrategy)omAlloc0(sizeof(ssyStrategy));
 
  if ((idIs0(arg)) || (id_RankFreeModule(arg,currRing)>0))
  {
    syzstr->minres = (resolvente)omAllocBin(sip_sideal_bin);
    syzstr->length = 1;
    syzstr->minres[0] = idInit(1,arg->rank);
    return syzstr;
  }
 
  // Creare dp,S ring and change to it
  syzstr->syRing = rAssure_dp_C(origR);
  rChangeCurrRing(syzstr->syRing);
 
  // set initial ShiftedComps
  currcomponents = (int*)omAlloc0((arg->rank+1)*sizeof(int));
  currShiftedComponents = (long*)omAlloc0((arg->rank+1)*sizeof(long));
 
/*--- initializes the data structures---------------*/
#ifdef SHOW_CRIT
  crit = 0;
  crit1 = 0;
  spfl = 0;
  cons_pairs = 0;
  crit_fails = 0;
#endif
  syzstr->length = *length = currRing->N+2;
  syzstr->Tl = new intvec(*length+1);
  temp = idInit(IDELEMS(arg),arg->rank);
  for (i=0;i<IDELEMS(arg);i++)
  {
    if (origR != syzstr->syRing)
      temp->m[i] = prCopyR( arg->m[i], origR, syzstr->syRing);
    else
      temp->m[i] = pCopy( arg->m[i]);
    if (temp->m[i]!=NULL)
    {
      j = pTotaldegree(temp->m[i]);
      if (j<actdeg) actdeg = j;
    }
  }
  idTest(temp);
  idSkipZeroes(temp);
  syzstr->resPairs = syInitRes(temp,length,syzstr->Tl,syzstr->cw);
  omFreeSize((ADDRESS)currcomponents,(arg->rank+1)*sizeof(int));
  omFreeSize((ADDRESS)currShiftedComponents,(arg->rank+1)*sizeof(int));
  syzstr->res = (resolvente)omAlloc0((*length+1)*sizeof(ideal));
  syzstr->orderedRes = (resolvente)omAlloc0((*length+1)*sizeof(ideal));
  syzstr->elemLength = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->truecomponents = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->backcomponents = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->ShiftedComponents = (long**)omAlloc0((*length+1)*sizeof(long*));
  syzstr->Howmuch = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->Firstelem = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->hilb_coeffs = (intvec**)omAlloc0((*length+1)*sizeof(intvec*));
  syzstr->sev = (unsigned long **)omAlloc0((*length+1)*sizeof(unsigned long*));
  syzstr->bucket = kBucketCreate(currRing);
  syzstr->syz_bucket = kBucketCreate(currRing);
  nextPairs = syChosePairs(syzstr,&index,&howmuch,&actdeg);
/*--- computes the resolution ----------------------*/
  while (nextPairs!=NULL)
  {
#ifdef SHOW_PROT
Print("compute %d Paare im Module %d im Grad %d \n",howmuch,index,actdeg+index);
#endif
    if (TEST_OPT_PROT) Print("%d",actdeg);
    if (TEST_OPT_PROT) Print("(m%d)",index);
    if (index==0)
      i = syInitSyzMod(syzstr,index,id_RankFreeModule(arg, origR)+1);
    else
      i = syInitSyzMod(syzstr,index);
    j = syInitSyzMod(syzstr,index+1);
    if (index>0)
    {
      syRedNextPairs_Hilb(nextPairs,syzstr,howmuch,index,actdeg,&toSub,&maxindex,&maxdeg);
      syzstr->res[index+1]->rank=idElem(syzstr->res[index]);
      sySetNewHilb(syzstr,toSub,index,actdeg);
      toSub = 0;
      syCompactifyPairSet(syzstr->resPairs[index],(*syzstr->Tl)[index],0);
    }
    else
      syRedGenerOfCurrDeg_Hilb(syzstr,actdeg,&maxindex,&maxdeg);
/*--- creates new pairs -----------------------------*/
#ifdef SHOW_PROT
Print("Bilde neue Paare in Modul %d!\n",index);
#endif
    syCreateNewPairs_Hilb(syzstr,index,actdeg);
    if (index<(*length)-1)
    {
#ifdef SHOW_PROT
Print("Bilde neue Paare in Modul %d!\n",index+1);
#endif
      syCreateNewPairs_Hilb(syzstr,index+1,actdeg-1);
    }
    index++;
    nextPairs = syChosePairs(syzstr,&index,&howmuch,&actdeg);
  }
  syReOrdResult_Hilb(syzstr,maxindex,maxdeg);
#ifdef SHOW_RESULT
PrintS("minimal resolution:\n");
for (int ti=1;ti<=*length;ti++)
{
  if (!idIs0(syzstr->orderedRes[ti])) idPrint(syzstr->orderedRes[ti]);
}
PrintS("full resolution:\n");
for (int ti=1;ti<=*length;ti++)
{
  if (!idIs0(syzstr->res[ti])) idPrint(syzstr->res[ti]);
}
#endif
#ifdef SHOW_CRIT
Print("Criterion %d times applied\n",crit);
Print("Criterion1 %d times applied\n",crit1);
Print("%d superfluous pairs\n",spfl);
Print("%d pairs considered\n",cons_pairs);
Print("Criterion fails %d times\n",crit_fails);
crit = 0;
crit1 = 0;
spfl = 0;
cons_pairs = 0;
crit_fails = 0;
#endif
  if (temp!=NULL) idDelete(&temp);
  kBucketDestroy(&(syzstr->bucket));
  kBucketDestroy(&(syzstr->syz_bucket));
  if (origR != syzstr->syRing)
    rChangeCurrRing(origR);
  else
    currRing =  origR;
  if (TEST_OPT_PROT) PrintLn();
  return syzstr;
}

syInitializePair()

void syInitializePair

(

SObject *

so

)

Definition at line 63 of file syz1.cc.

{
  (*so).p = NULL;
  (*so).lcm = NULL;
  (*so).syz = NULL;
  (*so).p1 = NULL;
  (*so).p2 = NULL;
  (*so).ind1 = 0;
  (*so).ind2 = 0;
  (*so).syzind = -1;
  (*so).order = 0;
  (*so).isNotMinimal = NULL;
  (*so).length = -1;
  (*so).reference = -1;
}

syInitRes()

SRes syInitRes	(	ideal	arg,
		int *	length,
		intvec *	Tl,
		intvec *	cw = NULL
	)

Definition at line 293 of file syz1.cc.

{
  if (idIs0(arg)) return NULL;
  SRes resPairs = (SRes)omAlloc0(*length*sizeof(SSet));
  resPairs[0] = (SSet)omAlloc0(IDELEMS(arg)*sizeof(SObject));
  intvec * iv=NULL;
  int i,j;
 
  if (id_RankFreeModule(arg,currRing)==0)
  {
    iv = idSort(arg);
    for (i=0;i<IDELEMS(arg);i++)
    {
      (resPairs[0])[i].syz = /*pCopy*/(arg->m[(*iv)[i]-1]);
      arg->m[(*iv)[i]-1] = NULL;
      (resPairs[0])[i].order = pTotaldegree((resPairs[0])[i].syz);
    }
  }
  else
  {
    iv = new intvec(IDELEMS(arg),1,-1);
    for (i=0;i<IDELEMS(arg);i++)
    {
      (*iv)[i] = pTotaldegree(arg->m[i])+(*cw)[pGetComp(arg->m[i])-1];
    }
    for (i=0;i<IDELEMS(arg);i++)
    {
      j = syChMin(iv);
      if (j<0) break;
      (resPairs[0])[i].syz = arg->m[j];
      arg->m[j] = NULL;
      (resPairs[0])[i].order = (*iv)[j];
      (*iv)[j] = -1;
    }
  }
  if (iv!=NULL)  delete iv;
  (*Tl)[0] = IDELEMS(arg);
  return resPairs;
}

syInitSyzMod()

int syInitSyzMod	(	syStrategy	syzstr,
		int	index,
		int	init = 17
	)

Definition at line 1459 of file syz1.cc.

{
  int result;
 
  if (syzstr->res[index]==NULL)
  {
    syzstr->res[index] = idInit(init-1,1);
    syzstr->truecomponents[index] = (int*)omAlloc0(init*sizeof(int));
    syzstr->ShiftedComponents[index] = (long*)omAlloc0(init*sizeof(long));
    if (index==0)
    {
      for (int i=0;i<init;i++)
      {
        syzstr->truecomponents[0][i] = i;
        syzstr->ShiftedComponents[0][i] = (i)*SYZ_SHIFT_BASE;
      }
    }
    syzstr->backcomponents[index] = (int*)omAlloc0(init*sizeof(int));
    syzstr->Howmuch[index] = (int*)omAlloc0(init*sizeof(int));
    syzstr->Firstelem[index] = (int*)omAlloc0(init*sizeof(int));
    syzstr->elemLength[index] = (int*)omAlloc0(init*sizeof(int));
    syzstr->orderedRes[index] = idInit(init-1,1);
    syzstr->sev[index] = (unsigned long*) omAlloc0(init*sizeof(unsigned long));
    result = 0;
  }
  else
  {
    result = IDELEMS(syzstr->res[index]);
    while ((result>0) && (syzstr->res[index]->m[result-1]==NULL)) result--;
  }
  return result;
}

syKillComputation()

void syKillComputation	(	syStrategy	syzstr,
		ring	r = currRing
	)

Definition at line 1495 of file syz1.cc.

{
  if (syzstr->references>0)
  {
    (syzstr->references)--;
  }
  else
  {
    int i,j;
    if (syzstr->minres!=NULL)
    {
      for (i=0;i<syzstr->length;i++)
      {
        if (syzstr->minres[i]!=NULL)
        {
          id_Delete(&(syzstr->minres[i]),r);
        }
      }
      omFreeSize((ADDRESS)syzstr->minres,(syzstr->length+1)*sizeof(ideal));
    }
    if (syzstr->fullres!=NULL)
    {
      for (i=0;i<syzstr->length;i++)
      {
        if (syzstr->fullres[i]!=NULL)
        {
          id_Delete(&(syzstr->fullres[i]),r);
        }
      }
      omFreeSize((ADDRESS)syzstr->fullres,(syzstr->length+1)*sizeof(ideal));
    }
    if (syzstr->weights!=NULL)
    {
      for (i=0;i<syzstr->length;i++)
      {
        if (syzstr->weights[i]!=NULL)
        {
          delete syzstr->weights[i];
        }
      }
      omFreeSize((ADDRESS)syzstr->weights,syzstr->length*sizeof(intvec*));
    }
 
    ring sr=syzstr->syRing;
    if (sr==NULL) sr=r;
 
    if (syzstr->resPairs!=NULL)
    {
      for (i=0;i<syzstr->length;i++)
      {
        for (j=0;j<(*syzstr->Tl)[i];j++)
        {
          if ((syzstr->resPairs[i])[j].lcm!=NULL)
            p_Delete(&((syzstr->resPairs[i])[j].lcm),sr);
          if ((i>0) && ((syzstr->resPairs[i])[j].syz!=NULL))
            p_Delete(&((syzstr->resPairs[i])[j].syz),sr);
        }
        if (syzstr->orderedRes[i]!=NULL)
        {
          for (j=0;j<IDELEMS(syzstr->orderedRes[i]);j++)
          {
            syzstr->orderedRes[i]->m[j] = NULL;
          }
          id_Delete(&(syzstr->orderedRes[i]),sr);
        }
        if (syzstr->truecomponents[i]!=NULL)
        {
          omFreeSize((ADDRESS)syzstr->truecomponents[i],(IDELEMS(syzstr->res[i])+1)*sizeof(int));
          syzstr->truecomponents[i]=NULL;
          omFreeSize((ADDRESS)syzstr->ShiftedComponents[i],(IDELEMS(syzstr->res[i])+1)*sizeof(long));
          syzstr->ShiftedComponents[i]=NULL;
        }
        if (syzstr->backcomponents[i]!=NULL)
        {
          omFreeSize((ADDRESS)syzstr->backcomponents[i],(IDELEMS(syzstr->res[i])+1)*sizeof(int));
          syzstr->backcomponents[i]=NULL;
        }
        if (syzstr->Howmuch[i]!=NULL)
        {
          omFreeSize((ADDRESS)syzstr->Howmuch[i],(IDELEMS(syzstr->res[i])+1)*sizeof(int));
          syzstr->Howmuch[i]=NULL;
        }
        if (syzstr->Firstelem[i]!=NULL)
        {
          omFreeSize((ADDRESS)syzstr->Firstelem[i],(IDELEMS(syzstr->res[i])+1)*sizeof(int));
          syzstr->Firstelem[i]=NULL;
        }
        if (syzstr->elemLength[i]!=NULL)
        {
          omFreeSize((ADDRESS)syzstr->elemLength[i],(IDELEMS(syzstr->res[i])+1)*sizeof(int));
          syzstr->elemLength[i]=NULL;
        }
        if (syzstr->res[i]!=NULL)
        {
          for (j=0;j<IDELEMS(syzstr->res[i]);j++)
          {
            if (syzstr->res[i]->m[j]!=NULL)
              p_Delete(&(syzstr->res[i]->m[j]),sr);
          }
        }
        if ((syzstr->hilb_coeffs!=NULL)
        && (syzstr->hilb_coeffs[i]!=NULL))
          delete syzstr->hilb_coeffs[i];
        if (syzstr->sev[i] != NULL)
          omFreeSize((ADDRESS)syzstr->sev[i], (IDELEMS(syzstr->res[i])+1)*sizeof(unsigned long));
        id_Delete(&(syzstr->res[i]),sr);
        if (syzstr->resPairs[i] != NULL) // OB: ????
          omFreeSize((ADDRESS)syzstr->resPairs[i],(*syzstr->Tl)[i]*sizeof(SObject));
      }
      omFreeSize((ADDRESS)syzstr->resPairs,syzstr->length*sizeof(SObject*));
      omFreeSize((ADDRESS)syzstr->res,(syzstr->length+1)*sizeof(ideal));
      omFreeSize((ADDRESS)syzstr->orderedRes,(syzstr->length+1)*sizeof(ideal));
      omFreeSize((ADDRESS)syzstr->elemLength,(syzstr->length+1)*sizeof(int*));
      omFreeSize((ADDRESS)syzstr->truecomponents,(syzstr->length+1)*sizeof(int*));
      omFreeSize((ADDRESS)syzstr->ShiftedComponents,(syzstr->length+1)*sizeof(long*));
      if (syzstr->sev != NULL)
        omFreeSize(((ADDRESS)syzstr->sev), (syzstr->length+1)*sizeof(unsigned long*));
      omFreeSize((ADDRESS)syzstr->backcomponents,(syzstr->length+1)*sizeof(int*));
      omFreeSize((ADDRESS)syzstr->Howmuch,(syzstr->length+1)*sizeof(int*));
      omFreeSize((ADDRESS)syzstr->Firstelem,(syzstr->length+1)*sizeof(int*));
      if (syzstr->hilb_coeffs!=NULL)
        omFreeSize((ADDRESS)syzstr->hilb_coeffs,(syzstr->length+1)*sizeof(intvec*));
    }
    if (syzstr->cw!=NULL)
      delete syzstr->cw;
    if (syzstr->betti!=NULL)
      delete syzstr->betti;
    if (syzstr->resolution!=NULL)
      delete syzstr->resolution;
    if (syzstr->Tl!=NULL)
      delete syzstr->Tl;
    if ((syzstr->syRing != NULL) && (syzstr->syRing != r))
    {
      if(syzstr->syRing->typ[1].ord_typ == ro_syzcomp)
        rChangeSComps(NULL, NULL, 0, syzstr->syRing);
 
      rDelete(syzstr->syRing);
    }
    omFreeSize((ADDRESS)syzstr, sizeof(ssyStrategy));
  }
}

syKillEmptyEntres()

void syKillEmptyEntres	(	resolvente	res,
		int	length
	)

Definition at line 2198 of file syz1.cc.

{
  int i,j,jj,k,rj;
  intvec * changes;
  poly p;
  ideal ri;
 
  for (i=0;i<length;i++)
  {
    ri = res[i];
    if (ri!=NULL)
    {
      rj = IDELEMS(ri);
      changes = new intvec(rj+1,1,-1);
      while ((rj>0) && (ri->m[rj-1]==NULL)) rj--;
      j = k = 0;
      while (j+k<rj)
      {
        if (ri->m[j+k]!=NULL)
        {
          ri->m[j] = ri->m[j+k];
          (*changes)[j+k+1] = j+1;
          j++;
        }
        else
        {
          k++;
        }
      }
      for (jj=j;jj<rj;jj++)
        ri->m[jj] = NULL;
      if (res[i+1]!=NULL)
      {
        ri = res[i+1];
        for (j=IDELEMS(ri)-1;j>=0;j--)
        {
          p = ri->m[j];
          while (p!=NULL)
          {
            pSetComp(p,(*changes)[pGetComp(p)]);
            pSetm(p);
            pIter(p);
          }
        }
      }
      delete changes;
    }
  }
}

syKosz()

syStrategy syKosz	(	ideal	arg,
		int *	length
	)

Definition at line 1766 of file syz3.cc.

{
  int i,j,jj,k=0,index=0,rk_arg/*,next_syz=0*/;
  int crit_comp,t_comp,next_deg,old_tl;
  ideal temp=NULL,old_ideal,old_repr;
  ring origR = currRing;
  poly next_gen;
  BOOLEAN isRegular;
 
  discard_pairs = 0;
  short_pairs = 0;
  if (idIs0(arg)) return NULL;
  rk_arg = id_RankFreeModule(arg,currRing);
  syStrategy syzstr=(syStrategy)omAlloc0(sizeof(ssyStrategy));
/*--- changes to a Cdp-ring ----------------------------*/
  syzstr->syRing = rAssure_C_dp(origR); rChangeCurrRing(syzstr->syRing);
/*--- initializes the data structures---------------*/
  syzstr->length = *length = (syzstr->syRing->N)+2;
  syzstr->regularity = -1;
  if (origR!=syzstr->syRing)
    temp = idrCopyR(arg, origR, syzstr->syRing);
  else
    temp = idCopy(arg);
  if (rk_arg==0)
  {
    id_Shift(temp,1,currRing);
  }
  idSkipZeroes(temp);
#ifdef WITH_SORT
  if (temp->m[0]!=NULL)
  {
    int md;
    int maxdeg=p_FDeg(temp->m[IDELEMS(temp)-1],currRing);
    ideal temp1=idInit(IDELEMS(temp),temp->rank);
    for (j=IDELEMS(temp)-2;j>=0;j--)
    {
      jj = p_FDeg(temp->m[j],currRing);
      if (jj>maxdeg) maxdeg = jj;
    }
    while (!idIs0(temp))
    {
      md = maxdeg;
      for (j=IDELEMS(temp)-1;j>=0;j--)
      {
        if (temp->m[j]!=NULL)
        {
          jj = p_FDeg(temp->m[j],currRing);
          if (jj<md) md = jj;
        }
      }
      for (j=0;j<IDELEMS(temp);j++)
      {
        if ((temp->m[j]!=NULL) && (p_FDeg(temp->m[j],currRing)==md))
        {
          temp1->m[k] = temp->m[j];
          temp->m[j] = NULL;
          k++;
        }
      }
    }
    idDelete(&temp);
    temp = temp1;
    temp1 = NULL;
  }
#endif
#ifdef USE_REGULARITY
  int last_generator=IDELEMS(temp)-1;
  while ((last_generator>=0) && (temp->m[last_generator]==NULL))
    last_generator--;
#endif
  syzstr->res = (resolvente)omAlloc0((*length+1)*sizeof(ideal));
  syzstr->orderedRes = (resolvente)omAlloc0((*length+1)*sizeof(ideal));
  resolvente totake=(resolvente)omAlloc0((*length+1)*sizeof(ideal));
  syzstr->Tl = new intvec(*length+1);
  syzstr->bucket = kBucketCreate(currRing);
  syzstr->syz_bucket = kBucketCreate(currRing);
  ideal new_generators=idInit(1,si_max(rk_arg,1));
  ideal temp_gens,old_std;
  syzstr->res[0] = idInit(1,1);
  if (rk_arg>1) syzstr->res[0]->rank = rk_arg;
  syzstr->orderedRes[0] = idInit(1,1);
/*--- computes the resolution ----------------------*/
  i = 0;
  while (i<IDELEMS(temp))
  {
    if (temp->m[i]!=NULL)
    {
      new_generators->m[0] = kNF(syzstr->res[0],currRing->qideal,temp->m[i]);
      if (!nIsOne(pGetCoeff(new_generators->m[0])))
        pNorm(new_generators->m[0]);
      next_deg = p_FDeg(new_generators->m[0],currRing);
      next_gen = pCopy(new_generators->m[0]);
    }
    if (!idIs0(new_generators))
    {
      index = 0;
      while (index<=*length)
      {
        if (index==0)
        {
          old_ideal = idCopy(syzstr->res[0]);
          old_repr = idCopy(syzstr->orderedRes[0]);
          old_tl = (*syzstr->Tl)[0];
          old_std = id_Head(syzstr->res[0],currRing);
        }
        t_comp = (*syzstr->Tl)[index];
        if (index==0) crit_comp = t_comp;
        temp_gens = syAppendSyz(new_generators,syzstr, index,crit_comp,totake);
        crit_comp = t_comp;
        if (index==0)
        {
          isRegular = syIsRegular(old_std,syzstr->res[0],next_deg);
#ifndef ONLY_STD
          if (isRegular)
            syCreateRegularExtension(syzstr,old_ideal,old_repr,old_tl,next_gen,
                                     totake);
#ifdef USE_REGULARITY
        if ((index==0) && (!isRegular) && (i==last_generator))
        {
/*----------- we are computing the regularity -----------------------*/
          ideal initial=id_Head(syzstr->res[0],currRing);
          int len=0,reg=0;
          intvec *w=NULL;
          ring dp_C_ring = rAssure_dp_C(currRing); rChangeCurrRing(dp_C_ring);
          initial = idrMoveR_NoSort(initial, syzstr->syRing, dp_C_ring);
          resolvente res = sySchreyerResolvente(initial,-1,&len,TRUE, TRUE);
          intvec * dummy = syBetti(res,len,&reg, w);
          syzstr->regularity = reg+2;
          delete dummy;
          delete w;
          for (j=0;j<len;j++)
          {
            if (res[j]!=NULL) idDelete(&(res[j]));
          }
          omFreeSize((ADDRESS)res,len*sizeof(ideal));
          idDelete(&initial);
          rChangeCurrRing(syzstr->syRing);
          rDelete(dp_C_ring);
        }
#endif
#endif
          idDelete(&old_ideal);
          idDelete(&old_repr);
          idDelete(&old_std);
          if (TEST_OPT_PROT)
          {
            if (isRegular)
              PrintS("\n regular\n");
            else
              PrintS("\n not regular\n");
          }
          if (next_gen!=NULL)
            pDelete(&next_gen);
          if (isRegular)
          {
            idDelete(&temp_gens);
            break;
          }
        }
        idDelete(&new_generators);
        new_generators = temp_gens;
#ifdef ONLY_STD
        break;
#endif
        if (idIs0(new_generators)) break;
        index++;
      }
      if (!idIs0(new_generators))
      {
        for (j=0;j<IDELEMS(new_generators);j++)
        {
          if (new_generators->m[j]!=NULL)
          {
            pDelete(&new_generators->m[j]);
            new_generators->m[j] = NULL;
          }
        }
      }
    }
    i++;
  }
  if (idIs0(new_generators) && new_generators!=NULL) idDelete(&new_generators);
  if (temp!=NULL) idDelete(&temp);
  kBucketDestroy(&(syzstr->bucket));
  kBucketDestroy(&(syzstr->syz_bucket));
  index = 0;
  syzstr->fullres = syzstr->res;
  syzstr->res = NULL;
  index = 0;
  while ((index<=*length) && (syzstr->fullres[index]!=NULL))
  {
#ifdef SHOW_RESULT
    Print("The %d-th syzygy-module is now:\n",index);
    ideal ttt=id_Head(syzstr->fullres[index],currRing);
    idShow(ttt);
    idDelete(&ttt);
    //if (index>0)
    //{
      //Print("The related module is: \n");
      //idPrint(totake[index-1]);
    //}
    //Print("The %d-th module of the minimal resolution is:\n",index);
    if (!idIs0(totake[index]))
      idShow(totake[index]);
    //Print("with standard basis:\n");
    //idPrint(syzstr->fullres[index]);
    //if ((index<*length) && (totake[index+1]!=NULL))
    //{
      //Print("The %d-th syzygy-module is now:\n",index+1);
      //idPrint(totake[index+1]);
      //matrix m1=idModule2Matrix(totake[index]);
      //matrix m2=idModule2Matrix(totake[index+1]);
      //matrix m3=mpMult(m1,m2);
      //idPrint((ideal)m3);
    //}
#endif
    if (!idIs0(totake[index]))
    {
      for(i=0;i<IDELEMS(totake[index]);i++)
      {
        if (totake[index]->m[i]!=NULL)
        {
          j=0;
          while ((j<IDELEMS(syzstr->fullres[index])) &&
            ((syzstr->fullres[index]->m[j]==NULL) ||
            (!pLmEqual(syzstr->fullres[index]->m[j],totake[index]->m[i])))) j++;
          if (j<IDELEMS(syzstr->fullres[index]))
          {
            pDelete(&totake[index]->m[i]);
            totake[index]->m[i] = syzstr->fullres[index]->m[j];
            syzstr->fullres[index]->m[j] = NULL;
          }
          else
          {
            PrintS("Da ist was faul!!!\n");
            Print("Aber: Regularitaet %d, Grad %ld\n",
                   syzstr->regularity,p_FDeg(totake[index]->m[i],currRing));
          }
        }
      }
      idDelete(&syzstr->fullres[index]);
      syzstr->fullres[index] = totake[index];
    }
#ifdef SHOW_RESULT
    idShow(syzstr->fullres[index]);
#endif
    index++;
  }
  syReorder_Kosz(syzstr);
  index = 0;
  while ((index<=*length) && (syzstr->orderedRes[index]!=NULL))
  {
    idDelete(&(syzstr->orderedRes[index]));
    index++;
  }
  if (origR!=syzstr->syRing)
  {
    rChangeCurrRing(origR);
    index = 0;
    while ((index<=*length) && (syzstr->fullres[index]!=NULL))
    {
      syzstr->fullres[index] = idrMoveR(syzstr->fullres[index],syzstr->syRing, origR);
      index++;
    }
  }
  delete syzstr->Tl;
  syzstr->Tl = NULL;
  rDelete(syzstr->syRing);
  syzstr->syRing = NULL;
  omFreeSize((ADDRESS)totake,(*length+1)*sizeof(ideal));
  omFreeSize((ADDRESS)syzstr->orderedRes,(*length+1)*sizeof(ideal));
//Print("Pairs to discard: %d\n",discard_pairs);
//Print("Pairs shorter reduced: %d\n",short_pairs);
//discard_pairs = 0;
//short_pairs = 0;
  return syzstr;
}

syLaScala()

syStrategy syLaScala	(	ideal	arg,
		int &	maxlength,
		intvec *	weights = NULL
	)

Definition at line 2557 of file syz1.cc.

{
  int i,j,actdeg=32000,index=0;
  int howmuch;
  ideal temp;
  SSet nextPairs;
  syStrategy syzstr=(syStrategy)omAlloc0(sizeof(ssyStrategy));
  ring origR = currRing;
 
  if(weights!= NULL)
    syzstr->cw = new intvec(weights);
  else
    syzstr->cw = NULL;
 
  if ((idIs0(arg)) ||
      ((id_RankFreeModule(arg,currRing)>0) && (!idTestHomModule(arg, NULL, syzstr->cw))))
  {
    syzstr->minres = (resolvente)omAlloc0Bin(char_ptr_bin);
    syzstr->length = 1;
    syzstr->minres[0] = idInit(1,arg->rank);
    return syzstr;
  }
 
 
  //crit = 0;
  //euler = -1;
 
  if( maxlength > 0 )
    syzstr->length = maxlength; //  = (currRing->N)+2;
  else
    syzstr->length = maxlength = (currRing->N)+2;
 
  // Creare dp,S ring and change to it
  syzstr->syRing = rAssure_dp_S(origR);
  assume(syzstr->syRing != origR);
  assume(syzstr->syRing->typ[1].ord_typ == ro_syzcomp);
  rChangeCurrRing(syzstr->syRing);
 
  // set initial ShiftedComps
  currcomponents = (int*)omAlloc0((arg->rank+1)*sizeof(int));
  currShiftedComponents = (long*)omAlloc0((arg->rank+1)*sizeof(long));
  for (i=0;i<=arg->rank;i++)
  {
    currShiftedComponents[i] = (i)*SYZ_SHIFT_BASE;
    currcomponents[i] = i;
  }
  rChangeSComps(currcomponents, currShiftedComponents, arg->rank, currRing);
/*--- initializes the data structures---------------*/
  syzstr->Tl = new intvec(maxlength);
  temp = idInit(IDELEMS(arg),arg->rank);
  for (i=0;i<IDELEMS(arg);i++)
  {
    temp->m[i] = prCopyR( arg->m[i], origR, currRing);
    if (temp->m[i]!=NULL)
    {
      j = pTotaldegree(temp->m[i]);
      if (j<actdeg) actdeg = j;
    }
  }
  idTest(temp);
  idSkipZeroes(temp);
  idTest(temp);
  syzstr->resPairs = syInitRes(temp,&maxlength,syzstr->Tl,syzstr->cw);
  omFreeSize((ADDRESS)currcomponents,(arg->rank+1)*sizeof(int));
  omFreeSize((ADDRESS)currShiftedComponents,(arg->rank+1)*sizeof(long));
 
  syzstr->res = (resolvente)omAlloc0((maxlength+1)*sizeof(ideal));
  syzstr->orderedRes = (resolvente)omAlloc0((maxlength+1)*sizeof(ideal));
  syzstr->elemLength = (int**)omAlloc0((maxlength+1)*sizeof(int*));
 
  syzstr->truecomponents = (int**)omAlloc0((maxlength+1)*sizeof(int*));
  syzstr->ShiftedComponents = (long**)omAlloc0((maxlength+1)*sizeof(long*));
 
  syzstr->backcomponents = (int**)omAlloc0((maxlength+1)*sizeof(int*));
  syzstr->Howmuch = (int**)omAlloc0((maxlength+1)*sizeof(int*));
  syzstr->Firstelem = (int**)omAlloc0((maxlength+1)*sizeof(int*));
  syzstr->sev = (unsigned long **) omAlloc0((maxlength+1)*sizeof(unsigned long *));
 
  assume( syzstr->length == maxlength );
 
  syzstr->bucket = kBucketCreate(currRing);
  int len0=id_RankFreeModule(temp,currRing)+1;
 
  nextPairs = syChosePairs(syzstr,&index,&howmuch,&actdeg);
  //if (TEST_OPT_PROT) Print("(%d,%d)",howmuch,index);
/*--- computes the resolution ----------------------*/
  while (nextPairs!=NULL)
  {
    if (TEST_OPT_PROT) Print("%d",actdeg);
    if (TEST_OPT_PROT) Print("(m%d)",index);
    if (index==0)
      i = syInitSyzMod(syzstr,index,len0);
    else
      i = syInitSyzMod(syzstr,index);
    currcomponents = syzstr->truecomponents[si_max(index-1,0)];
    currShiftedComponents = syzstr->ShiftedComponents[si_max(index-1,0)];
    rChangeSComps(currcomponents, currShiftedComponents,
                  IDELEMS(syzstr->res[si_max(index-1,0)]), currRing);
    j = syInitSyzMod(syzstr,index+1);
    if (index>0)
    {
      syRedNextPairs(nextPairs,syzstr,howmuch,index);
      syCompactifyPairSet(syzstr->resPairs[index],(*syzstr->Tl)[index],0);
    }
    else
      syRedGenerOfCurrDeg(syzstr,actdeg,index+1);
/*--- creates new pairs -----------------------------*/
    syCreateNewPairs(syzstr,index,i);
    if (index<(maxlength-1))
    {
      syCreateNewPairs(syzstr,index+1,j);
    }
    index++;
    nextPairs = syChosePairs(syzstr,&index,&howmuch,&actdeg);
    //if (TEST_OPT_PROT) Print("(%d,%d)",howmuch,index);
  }
  if (temp!=NULL) idDelete(&temp);
  kBucketDestroy(&(syzstr->bucket));
  if (origR != syzstr->syRing)
    rChangeCurrRing(origR);
  if (TEST_OPT_PROT) PrintLn();
  return syzstr;
}

syLaScala1()

resolvente syLaScala1	(	ideal	arg,
		int *	length
	)

syLaScala3()

syStrategy syLaScala3	(	ideal	arg,
		int *	length
	)

Definition at line 2431 of file syz1.cc.

{
  int i,j,actdeg=32000,index=0;
  int howmuch;
  ideal temp;
  SSet nextPairs;
  syStrategy syzstr=(syStrategy)omAlloc0(sizeof(ssyStrategy));
  ring origR = currRing;
 
  if ((idIs0(arg)) ||
      ((id_RankFreeModule(arg,currRing)>0) && (!idHomModule(arg,NULL,&(syzstr->cw)))))
  {
    syzstr->minres = (resolvente)omAlloc0Bin(char_ptr_bin);
    syzstr->length = 1;
    syzstr->minres[0] = idInit(1,arg->rank);
    return syzstr;
  }
 
  //crit = 0;
  //euler = -1;
  syzstr->length = *length = (currRing->N)+2;
 
  // Creare dp,S ring and change to it
  syzstr->syRing = rAssure_dp_S(origR);
  assume(syzstr->syRing != origR); // why?
  rChangeCurrRing(syzstr->syRing);
 
  // set initial ShiftedComps
  currcomponents = (int*)omAlloc0((arg->rank+1)*sizeof(int));
  currShiftedComponents = (long*)omAlloc0((arg->rank+1)*sizeof(long));
  for (i=0;i<=arg->rank;i++)
  {
    currShiftedComponents[i] = (i)*SYZ_SHIFT_BASE;
    currcomponents[i] = i;
  }
  rChangeSComps(currcomponents, currShiftedComponents, arg->rank, syzstr->syRing);
/*--- initializes the data structures---------------*/
  syzstr->Tl = new intvec(*length);
  temp = idInit(IDELEMS(arg),arg->rank);
  for (i=0;i<IDELEMS(arg);i++)
  {
    temp->m[i] = prCopyR( arg->m[i], origR, syzstr->syRing);
    if (temp->m[i]!=NULL)
    {
      j = pTotaldegree(temp->m[i]);
      if (j<actdeg) actdeg = j;
    }
  }
  idTest(temp);
  idSkipZeroes(temp);
  idTest(temp);
  syzstr->resPairs = syInitRes(temp,length,syzstr->Tl,syzstr->cw);
  omFreeSize((ADDRESS)currcomponents,(arg->rank+1)*sizeof(int));
  omFreeSize((ADDRESS)currShiftedComponents,(arg->rank+1)*sizeof(long));
  syzstr->res = (resolvente)omAlloc0((*length+1)*sizeof(ideal));
  syzstr->orderedRes = (resolvente)omAlloc0((*length+1)*sizeof(ideal));
  syzstr->elemLength = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->truecomponents = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->ShiftedComponents = (long**)omAlloc0((*length+1)*sizeof(long*));
  syzstr->backcomponents = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->Howmuch = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->Firstelem = (int**)omAlloc0((*length+1)*sizeof(int*));
  syzstr->sev = (unsigned long **) omAlloc0((*length+1)*sizeof(unsigned long *));
  syzstr->bucket = kBucketCreate(currRing);
  int len0=id_RankFreeModule(temp,currRing)+1;
 
  nextPairs = syChosePairs(syzstr,&index,&howmuch,&actdeg);
  //if (TEST_OPT_PROT) Print("(%d,%d)",howmuch,index);
/*--- computes the resolution ----------------------*/
  while (nextPairs!=NULL)
  {
    if (TEST_OPT_PROT) Print("%d",actdeg);
    if (TEST_OPT_PROT) Print("(m%d)",index);
    if (index==0)
      i = syInitSyzMod(syzstr,index,len0);
    else
      i = syInitSyzMod(syzstr,index);
    currcomponents = syzstr->truecomponents[si_max(index-1,0)];
    currShiftedComponents = syzstr->ShiftedComponents[si_max(index-1,0)];
    rChangeSComps(currcomponents, currShiftedComponents,
                  IDELEMS(syzstr->res[si_max(index-1,0)]), currRing);
    j = syInitSyzMod(syzstr,index+1);
    if (index>0)
    {
      syRedNextPairs(nextPairs,syzstr,howmuch,index);
      syCompactifyPairSet(syzstr->resPairs[index],(*syzstr->Tl)[index],0);
    }
    else
      syRedGenerOfCurrDeg(syzstr,actdeg,index+1);
/*--- creates new pairs -----------------------------*/
    syCreateNewPairs(syzstr,index,i);
    if (index<(*length)-1)
    {
      syCreateNewPairs(syzstr,index+1,j);
    }
    index++;
    nextPairs = syChosePairs(syzstr,&index,&howmuch,&actdeg);
    //if (TEST_OPT_PROT) Print("(%d,%d)",howmuch,index);
  }
  if (temp!=NULL) idDelete(&temp);
  kBucketDestroy(&(syzstr->bucket));
 
  if (origR != syzstr->syRing)
    rChangeCurrRing(origR);
 
  if (TEST_OPT_PROT) PrintLn();
 
  assume(syzstr->minres==NULL); assume(syzstr->fullres ==NULL);
  assume(syzstr->resPairs!=NULL);  assume(syzstr->hilb_coeffs==NULL);
  assume(syzstr->res!=NULL);
 
  if(! TEST_OPT_NO_SYZ_MINIM )
    syzstr->minres = syReadOutMinimalRes(syzstr);
  else
    syzstr->fullres = syReorder(syzstr->res, syzstr->length, syzstr); // buggy? (betti...?)
 
  return syzstr;
}

syMinBase()

ideal syMinBase

(

ideal

arg

)

Definition at line 1005 of file syz.cc.

{
  intvec ** weights=NULL;
  int leng;
  if (idIs0(arg)) return idInit(1,arg->rank);
  resolvente res=syResolvente(arg,1,&leng,&weights,TRUE);
  ideal result=res[0];
  omFreeSize((ADDRESS)res,leng*sizeof(ideal));
  if (weights!=NULL)
  {
    if (*weights!=NULL)
    {
      delete (*weights);
      *weights=NULL;
    }
    if ((leng>=1) && (*(weights+1)!=NULL))
    {
      delete *(weights+1);
      *(weights+1)=NULL;
    }
  }
  idSkipZeroes(result);
  return result;
}

syMinimize()

syStrategy syMinimize

(

syStrategy

syzstr

)

Definition at line 2392 of file syz1.cc.

{
  if (syzstr->minres==NULL)
  {
    if (syzstr->resolution!=NULL)
    {
      // need to clear syzstr->resolution, as we are
      // now displaying the minres instead of fullres
      delete syzstr->resolution;
      syzstr->resolution=NULL;
    }
    if (syzstr->resPairs!=NULL)
    {
      if (syzstr->hilb_coeffs==NULL)
      {
        // La Scala Resolution
        syzstr->minres = syReadOutMinimalRes(syzstr);
      }
      else
      { // HRES
        syzstr->minres = syReorder(syzstr->orderedRes,syzstr->length,syzstr);
      }
    }
    else if (syzstr->fullres!=NULL)
    {
      syMinimizeResolvente(syzstr->fullres,syzstr->length,1);
      syzstr->minres = syzstr->fullres;
      syzstr->fullres = NULL;
    }
  }
  (syzstr->references)++;
  return syzstr;
}

syMinimize_with_map()

void syMinimize_with_map	(	syStrategy	res,
		ideal &	trans
	)

Definition at line 1173 of file syz.cc.

{
  ideal *r=res->minres;
  if (r==NULL) r=res->fullres;
  ideal org=idCopy(r[0]);
  res=syMinimize(res);
  r=res->minres;
  if (r==NULL) r=res->fullres;
  trans=idLift(org,r[0],NULL,TRUE,FALSE,FALSE,NULL);
}

syMinimizeCopy()

syStrategy syMinimizeCopy

(

syStrategy

org

)

Definition at line 1184 of file syz.cc.

{
  syStrategy result=(syStrategy)omAlloc0(sizeof(ssyStrategy));
 
  result->length=org->length;
  if (org->weights!=NULL)
  {
    result->weights=(intvec**)omAlloc0(org->length*sizeof(intvec*));
    for (int i=org->length-1;i>=0;i--)
    {
      if (org->weights[i]!=NULL)
      {
        result->weights[i]=ivCopy(org->weights[i]);
      }
    }
  }
  result->fullres = (resolvente)omAlloc0((result->length+1)*sizeof(ideal));
  resolvente fr = org->minres;
  if (fr==NULL) fr=org->fullres;
 
  for (int i=result->length-1;i>=0;i--)
  {
    if (fr[i]!=NULL)
      result->fullres[i] = idCopy(fr[i]);
  }
  result->list_length=result->length;
  result=syMinimize(result);
  return result;
}

syMinimizeResolvente()

void syMinimizeResolvente	(	resolvente	res,
		int	length,
		int	first
	)

Definition at line 355 of file syz.cc.

{
  int syzIndex=first;
  intvec *dummy;
 
  if (syzIndex<1) syzIndex=1;
  if ((syzIndex==1) && (!rIsPluralRing(currRing)) && (idHomModule(res[0],currRing->qideal,&dummy)))
  {
    syMinStep1(res,length);
    delete dummy;
    return;
  }
  while ((syzIndex<length-1) && (res[syzIndex]!=NULL) && (res[syzIndex+1]!=NULL))
  {
    syMinStep(res[syzIndex-1],res[syzIndex],FALSE,res[syzIndex+1]);
    syzIndex++;
  }
  if (res[syzIndex]!=NULL)
    syMinStep(res[syzIndex-1],res[syzIndex]);
  if (!idIs0(res[0]))
    idMinEmbedding(res[0],TRUE);
}

syMres_with_map()

syStrategy syMres_with_map	(	ideal	arg,
		int	maxlength,
		intvec *	w,
		ideal &	trans
	)

Definition at line 1164 of file syz.cc.

{
  syStrategy res=syResolution(arg,maxlength,w,1);
  ideal *r=res->minres;
  if (r==NULL) r=res->fullres;
  trans=idLift(arg,r[0],NULL,TRUE,FALSE,FALSE,NULL);
  return res;
}

syPrint()

void syPrint	(	syStrategy	syzstr,
		const char *	currRingName
	)

Definition at line 1934 of file syz1.cc.

{
  if ( (syzstr->resPairs==NULL) &&
       (syzstr->fullres==NULL)  &&
       (syzstr->minres==NULL) &&
       (syzstr->resolution == NULL) )
  {
    PrintS("No resolution defined\n");
    return;
  }
 
  intvec* resolution = syzstr->resolution;
 
  if (resolution==NULL)
  {
    if (syzstr->resPairs!=NULL)
    {
      resolution = new intvec(syzstr->length+1);
      SRes rP = syzstr->resPairs;
//      assume(idRankFreeModule(syzstr->res[1], (syzstr->syRing != NULL ? syzstr->syRing : currRing))==syzstr->res[1]->rank);
      (*resolution)[0] = syzstr->res[1]->rank;
      int k=0;
      while ((k<syzstr->length) && (rP[k]!=NULL))
      {
        int j = 0;
        while ((j<(*syzstr->Tl)[k]) &&
          ((rP[k][j].lcm!=NULL) || (rP[k][j].syz!=NULL)))
        {
          if (rP[k][j].isNotMinimal==NULL)
            ((*resolution)[k+1])++;
          j++;
        }
        k++;
      }
    }
    else
    {
      resolution = new intvec(syzstr->length+2);
      resolvente rr;
      if (syzstr->minres!=NULL)
        rr = syzstr->minres;
      else
        rr = syzstr->fullres;
      (*resolution)[0]
        = si_max(1,(int)id_RankFreeModule(rr[0],
                                 (syzstr->syRing != NULL ? syzstr->syRing : currRing)));
      int k=0;
      while ((k<syzstr->length) && (rr[k]!=NULL))
      {
        (*resolution)[k+1] = idElem(rr[k]);
        k++;
      }
    }
  }
 
  int sl=strlen(sn);
  syPrintEmptySpaces1(sl);
  int k = 0;
  loop
  {
    if ((k>=resolution->length()) || ((*resolution)[k]==0))
      break;
    Print("%d",(*resolution)[k]);
    syPrintEmptySpaces1(sl+5);
    k++;
  }
  PrintLn();
  k = 0;
  loop
  {
    if ((k>=resolution->length()) || ((*resolution)[k]==0))
      break;
    PrintS(sn);
    if (((k+1)>=resolution->length()) || ((*resolution)[(k+1)]==0))
      break;
    PrintS(" <-- ");
    syPrintEmptySpaces((*resolution)[k]);
    k++;
  }
  PrintS("\n\n");
  k = 0;
  loop
  {
    if ((k>=resolution->length()) || ((*resolution)[k]==0))
      break;
    Print("%d",k);
    syPrintEmptySpaces1(sl+5+syLengthInt((*resolution)[k])-
                         syLengthInt(k));
    k++;
  }
  PrintLn();
  if (syzstr->minres==NULL)
  {
    PrintS("resolution not minimized yet\n");
  }
 
  if (syzstr->resolution == NULL) syzstr->resolution = resolution;
}

syReorder()

resolvente syReorder	(	resolvente	res,
		int	length,
		syStrategy	syzstr,
		BOOLEAN	toCopy = TRUE,
		resolvente	totake = NULL
	)

Definition at line 1641 of file syz1.cc.

{
  int i,j,l;
  poly p,q,tq;
  polyset ri1;
  resolvente fullres;
  ring origR=syzstr->syRing;
  fullres = (resolvente)omAlloc0((length+1)*sizeof(ideal));
  if (totake==NULL)
    totake = res;
  for (i=length-1;i>0;i--)
  {
    if (res[i]!=NULL)
    {
      if (i>1)
      {
        j = IDELEMS(res[i-1]);
        while ((j>0) && (res[i-1]->m[j-1]==NULL)) j--;
        fullres[i-1] = idInit(IDELEMS(res[i]),j);
        ri1 = totake[i-1]->m;
        for (j=IDELEMS(res[i])-1;j>=0;j--)
        {
          p = res[i]->m[j];
          q = NULL;
          while (p!=NULL)
          {
            if (toCopy)
            {
              if (origR!=NULL)
                tq = prHeadR(p,origR, currRing);
              else
                tq = pHead(p);
              pIter(p);
            }
            else
            {
              res[i]->m[j] = NULL;
              if (origR!=NULL)
              {
                poly pp=p;
                pIter(p);
                pNext(pp)=NULL;
                tq = prMoveR(pp, origR, currRing);
              }
              else
              {
                tq = p;
                pIter(p);
                pNext(tq) = NULL;
              }
            }
//            pWrite(tq);
            pTest(tq);
            for (l=(currRing->N);l>0;l--)
            {
              if (origR!=NULL)
                pSubExp(tq,l, p_GetExp(ri1[pGetComp(tq)-1],l,origR));
              else
                pSubExp(tq,l, pGetExp(ri1[pGetComp(tq)-1],l));
            }
            pSetm(tq);
            pTest(tq);
            q = pAdd(q,tq);
            pTest(q);
          }
          fullres[i-1]->m[j] = q;
        }
      }
      else
      {
        if (origR!=NULL)
        {
          fullres[i-1] = idInit(IDELEMS(res[i]),res[i]->rank);
          for (j=IDELEMS(res[i])-1;j>=0;j--)
          {
            if (toCopy)
              fullres[i-1]->m[j] = prCopyR(res[i]->m[j], origR, currRing);
            else
            {
              fullres[i-1]->m[j] = prMoveR(res[i]->m[j], origR, currRing);
              res[i]->m[j] = NULL;
            }
          }
        }
        else
        {
          if (toCopy)
            fullres[i-1] = idCopy(res[i]);
          else
          {
            fullres[i-1] = res[i];
            res[i] = NULL;
          }
        }
        for (j=IDELEMS(fullres[i-1])-1;j>=0;j--)
          fullres[i-1]->m[j] = pSortCompCorrect(fullres[i-1]->m[j]);
      }
      if (!toCopy)
      {
        if (res[i]!=NULL) idDelete(&res[i]);
      }
    }
  }
  if (!toCopy)
    omFreeSize((ADDRESS)res,(length+1)*sizeof(ideal));
  //syzstr->length = length;
  return fullres;
}

syReOrderResolventFB()

void syReOrderResolventFB	(	resolvente	res,
		int	length,
		int	initial = 1
	)

Definition at line 740 of file syz0.cc.

{
  int syzIndex=length-1,i,j;
  poly p;
 
  while ((syzIndex!=0) && (res[syzIndex]==NULL)) syzIndex--;
  while (syzIndex>=initial)
  {
    for(i=0;i<IDELEMS(res[syzIndex]);i++)
    {
      p = res[syzIndex]->m[i];
 
      while (p!=NULL)
      {
        if (res[syzIndex-1]->m[pGetComp(p)-1]!=NULL)
        {
          for(j=1;j<=(currRing->N);j++)
          {
            pSetExp(p,j,pGetExp(p,j)
                        -pGetExp(res[syzIndex-1]->m[pGetComp(p)-1],j));
          }
        }
        else
          PrintS("error in the resolvent\n");
        pSetm(p);
        pIter(p);
      }
    }
    syzIndex--;
  }
}

syReorderShiftedComponents()

long syReorderShiftedComponents	(	long *	sc,
		int	n
	)

Definition at line 334 of file syz1.cc.

{
  long holes = 0;
  int i;
  long new_comps = 0, new_space, max;
 
  // count number of holes
  for (i=1; i<n; i++)
  {
    if (sc[i-1] + 1 < sc[i]) holes++;
  }
 
  if (LONG_MAX - SYZ_SHIFT_BASE <= sc[n-1])
  {
    // need new components
    new_comps = (((long) 1) << SYZ_SHIFT_MAX_NEW_COMP_ESTIMATE) - 1;
    max = LONG_MAX;
  }
  else
  {
    max = sc[n-1] + SYZ_SHIFT_BASE;
  }
 
  // no we arrange things such that
  // (n - holes) + holes*new_space + new_comps*SYZ_SHIFT_BASE= LONG_MAX
  new_space = (max - n + holes - new_comps*SYZ_SHIFT_BASE) / holes;
 
  assume(new_space < SYZ_SHIFT_BASE && new_space >= 4);
 
  long* tc = ( long*) omAlloc(n*sizeof(long));
  tc[0] = sc[0];
  // rearrange things
  for (i=1; i<n; i++)
  {
    if (sc[i-1] + 1 < sc[i])
    {
      tc[i] = tc[i-1] + new_space;
    }
    else
    {
      tc[i] = tc[i-1] + 1;
    }
    assume(tc[i] > tc[i-1]);
  }
 
  assume(LONG_MAX -  SYZ_SHIFT_BASE > tc[n-1]);
#ifndef SING_NDEBUG
  for (i=1; i<n; i++)
  {
    assume(tc[i] >= 0);
    assume(tc[i-1] + 1 <= tc[i]);
  }
#endif
 
  memcpy(sc, tc, n*sizeof(long));
  omFreeSize(tc, n*sizeof(long));
  return new_space;
}

syResetShiftedComponents()

void syResetShiftedComponents	(	syStrategy	syzstr,
		int	index,
		int	hilb = 0
	)

Definition at line 409 of file syz1.cc.

{
  assume(index > 0);
  int i;
  if (syzstr->res[index] != NULL)
  {
    long * prev_s;
    int* prev_c;
    int p_length;
    rGetSComps(&prev_c, &prev_s, &p_length, currRing);
    currcomponents = syzstr->truecomponents[index-1];
    currShiftedComponents = syzstr->ShiftedComponents[index-1];
    rChangeSComps(currcomponents,
                  currShiftedComponents,
                  IDELEMS(syzstr->res[index-1]), currRing);
    if (hilb==0)
    {
      ideal id = syzstr->res[index];
      for (i=0; i<IDELEMS(id); i++)
      {
        pResetSetm(id->m[i]);
      }
    }
    else if (hilb==1)
    {
      assume (index>1);
      assume (syzstr->resPairs[index-1]!=NULL);
      SSet Pairs=syzstr->resPairs[index-1];
      SSet Pairs1=syzstr->resPairs[index];
      int till=(*syzstr->Tl)[index-1];
      for (i=0;i<till;i++)
      {
        if (Pairs[i].syz!=NULL)
          pResetSetm(Pairs[i].syz);
      }
      till=(*syzstr->Tl)[index];
      for (i=0;i<till;i++)
      {
        if (Pairs1[i].p!=NULL)
          pResetSetm(Pairs1[i].p);
      }
    }
    currcomponents  = prev_c;
    currShiftedComponents = prev_s;
    rChangeSComps(prev_c, prev_s, p_length, currRing);
  }
}

syResolution()

syStrategy syResolution	(	ideal	arg,
		int	maxlength,
		intvec *	w,
		BOOLEAN	minim
	)

Definition at line 614 of file syz.cc.

{
 
#ifdef HAVE_PLURAL
  const ideal idSaveCurrRingQuotient = currRing->qideal;
  if( rIsSCA(currRing) )
  {
    if( ncExtensions(TESTSYZSCAMASK) )
    {
      currRing->qideal = SCAQuotient(currRing);
    }
    const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing);
    const unsigned int m_iLastAltVar  = scaLastAltVar(currRing);
    arg = id_KillSquares(arg, m_iFirstAltVar, m_iLastAltVar, currRing, false); // kill suares in input!
  }
#endif
 
  syStrategy result=(syStrategy)omAlloc0(sizeof(ssyStrategy));
 
  if ((w!=NULL) && (!idTestHomModule(arg,currRing->qideal,w))) // is this right in SCA case???
  {
    WarnS("wrong weights given(2):");w->show();PrintLn();
    idHomModule(arg,currRing->qideal,&w);
    w->show();PrintLn();
    w=NULL;
  }
  if (w!=NULL)
  {
    result->weights = (intvec**)omAlloc0Bin(char_ptr_bin);
    (result->weights)[0] = ivCopy(w);
    result->length = 1;
  }
  resolvente fr = syResolvente(arg,maxlength,&(result->length),&(result->weights),minim);
  resolvente fr1;
  if (minim)
  {
    result->minres = (resolvente)omAlloc0((result->length+1)*sizeof(ideal));
    fr1 =  result->minres;
  }
  else
  {
    result->fullres = (resolvente)omAlloc0((result->length+1)*sizeof(ideal));
    fr1 =  result->fullres;
  }
  for (int i=result->length-1;i>=0;i--)
  {
    if (fr[i]!=NULL)
      fr1[i] = fr[i];
    fr[i] = NULL;
  }
  omFreeSize((ADDRESS)fr,(result->length)*sizeof(ideal));
 
#ifdef HAVE_PLURAL
  if( rIsSCA(currRing) )
  {
    if( ncExtensions(TESTSYZSCAMASK) )
    {
      currRing->qideal = idSaveCurrRingQuotient;
    }
    id_Delete(&arg, currRing);
  }
#endif
 
  return result;
}

syResolvente()

resolvente syResolvente	(	ideal	arg,
		int	maxlength,
		int *	length,
		intvec ***	weights,
		BOOLEAN	minim
	)

Definition at line 389 of file syz.cc.

{
  BITSET save1;
  SI_SAVE_OPT1(save1);
  resolvente newres;
  tHomog hom=isNotHomog;
  intvec *w = NULL,**tempW;
  int i,k,syzIndex = 0,j,rk_arg=si_max(1,(int)id_RankFreeModule(arg,currRing));
  int Kstd1_OldDeg=Kstd1_deg;
  BOOLEAN completeMinim;
  BOOLEAN oldDegBound=TEST_OPT_DEGBOUND;
  BOOLEAN setRegularity=TRUE;
  int wlength=*length;
 
  if (maxlength!=-1) *length = maxlength+1;
  else              *length = 5;
  if ((wlength!=0) && (*length!=wlength))
  {
    intvec **wtmp = (intvec**)omAlloc0((*length)*sizeof(intvec*));
    wtmp[0]=(*weights)[0];
    omFreeSize((ADDRESS)*weights,wlength*sizeof(intvec*));
    *weights=wtmp;
  }
  resolvente res = (resolvente)omAlloc0((*length)*sizeof(ideal));
 
/*--- initialize the syzygy-ring -----------------------------*/
  ring origR = currRing;
  ring syz_ring = rAssure_SyzComp(origR, TRUE); // will do rChangeCurrRing if needed
  rSetSyzComp(rk_arg, syz_ring);
 
  if (syz_ring != origR)
  {
    rChangeCurrRing(syz_ring);
    res[0] = idrCopyR_NoSort(arg, origR, syz_ring);
  }
  else
  {
    res[0] = idCopy(arg);
  }
 
/*--- creating weights for the module components ---------------*/
  if ((weights!=NULL) && (*weights!=NULL)&& ((*weights)[0]!=NULL))
  {
    if (!idTestHomModule(res[0],currRing->qideal,(*weights)[0]))
    {
      WarnS("wrong weights given(1):"); (*weights)[0]->show();PrintLn();
      idHomModule(res[0],currRing->qideal,&w);
      w->show();PrintLn();
      *weights=NULL;
    }
  }
 
  if ((weights==NULL) || (*weights==NULL) || ((*weights)[0]==NULL))
  {
    hom=(tHomog)idHomModule(res[0],currRing->qideal,&w);
    if (hom==isHomog)
    {
      *weights = (intvec**)omAlloc0((*length)*sizeof(intvec*));
      if (w!=NULL) (*weights)[0] = ivCopy(w);
    }
  }
  else
  {
    if ((weights!=NULL) && (*weights!=NULL)&& ((*weights)[0]!=NULL))
    {
      w = ivCopy((*weights)[0]);
      hom = isHomog;
    }
  }
 
#ifdef HAVE_PLURAL
  if (rIsPluralRing(currRing) && !rIsSCA(currRing) )
  {
// quick solution; need theory to apply homog GB stuff for G-Algebras
    hom = isNotHomog;
  }
#endif // HAVE_PLURAL
 
  if (hom==isHomog)
  {
    intvec *w1 = syPrepareModComp(res[0],&w);
    if (w!=NULL) { delete w;w=NULL; }
    w = w1;
    j = 0;
    while ((j<IDELEMS(res[0])) && (res[0]->m[j]==NULL)) j++;
    if (j<IDELEMS(res[0]))
    {
      if (p_FDeg(res[0]->m[j],currRing)!=pTotaldegree(res[0]->m[j]))
        setRegularity = FALSE;
    }
  }
  else
  {
    setRegularity = FALSE;
  }
 
/*--- the main loop --------------------------------------*/
  while ((res[syzIndex]!=NULL) && (!idIs0(res[syzIndex])) &&
         ((maxlength==-1) || (syzIndex<=maxlength)))
   // (syzIndex<maxlength+(int)minim)))
/*--- compute one step more for minimizing-----------------*/
  {
    if (Kstd1_deg!=0) Kstd1_deg++;
    if (syzIndex+1==*length)
    {
      newres = (resolvente)omAlloc0((*length+5)*sizeof(ideal));
      tempW = (intvec**)omAlloc0((*length+5)*sizeof(intvec*));
      for (j=0;j<*length;j++)
      {
        newres[j] = res[j];
        if (*weights!=NULL) tempW[j] = (*weights)[j];
        /*else              tempW[j] = NULL;*/
      }
      omFreeSize((ADDRESS)res,*length*sizeof(ideal));
      if (*weights != NULL) omFreeSize((ADDRESS)*weights,*length*sizeof(intvec*));
      *length += 5;
      res=newres;
      *weights = tempW;
    }
/*--- interreducing first -----------------------------------*/
    if (syzIndex>0)
    {
      int rkI=id_RankFreeModule(res[syzIndex],currRing);
      rSetSyzComp(rkI, currRing);
    }
    if(! TEST_OPT_NO_SYZ_MINIM )
    if (minim || (syzIndex!=0))
    {
      ideal temp = kInterRedOld(res[syzIndex],currRing->qideal);
      idDelete(&res[syzIndex]);
      idSkipZeroes(temp);
      res[syzIndex] = temp;
    }
/*--- computing the syzygy modules --------------------------------*/
    if ((currRing->qideal==NULL)&&(syzIndex==0)&& (!TEST_OPT_DEGBOUND))
    {
      res[/*syzIndex+*/1] = idSyzygies(res[0/*syzIndex*/],hom,&w,FALSE,setRegularity,&Kstd1_deg);
      if ((!TEST_OPT_NOTREGULARITY) && (Kstd1_deg>0)
      && (!rField_is_Ring(currRing))
      ) si_opt_1 |= Sy_bit(OPT_DEGBOUND);
    }
    else
    {
        res[syzIndex+1] = idSyzygies(res[syzIndex],hom,&w,FALSE);
    }
    completeMinim=(syzIndex!=maxlength) || (maxlength ==-1) || (hom!=isHomog);
    syzIndex++;
    if (TEST_OPT_PROT) Print("[%d]\n",syzIndex);
 
    if(! TEST_OPT_NO_SYZ_MINIM )
    {
      if ((minim)||(syzIndex>1))
        syMinStep(res[syzIndex-1],res[syzIndex],!completeMinim,NULL,hom);
      if (!completeMinim)
      /*minim is TRUE, we are in the module: maxlength, maxlength <>0*/
      {
        idDelete(&res[syzIndex]);
      }
    }
/*---creating the iterated weights for module components ---------*/
    if ((hom == isHomog) && (res[syzIndex]!=NULL) && (!idIs0(res[syzIndex])))
    {
//Print("die %d Modulegewichte sind:\n",w1->length());
//w1->show();
//PrintLn();
      int max_comp = id_RankFreeModule(res[syzIndex],currRing);
      k = max_comp - rGetCurrSyzLimit(currRing);
      assume(w != NULL);
      if (w != NULL)
        w->resize(max_comp+IDELEMS(res[syzIndex]));
      else
        w = new intvec(max_comp+IDELEMS(res[syzIndex]));
      (*weights)[syzIndex] = new intvec(k);
      for (i=0;i<k;i++)
      {
        if (res[syzIndex-1]->m[i]!=NULL) // hs
        {
          (*w)[i + rGetCurrSyzLimit(currRing)] = p_FDeg(res[syzIndex-1]->m[i],currRing);
          if (pGetComp(res[syzIndex-1]->m[i])>0)
            (*w)[i + rGetCurrSyzLimit(currRing)]
              += (*w)[pGetComp(res[syzIndex-1]->m[i])-1];
          (*((*weights)[syzIndex]))[i] = (*w)[i+rGetCurrSyzLimit(currRing)];
        }
      }
      for (i=k;i<k+IDELEMS(res[syzIndex]);i++)
      {
        if (res[syzIndex]->m[i-k]!=NULL)
          (*w)[i+rGetCurrSyzLimit(currRing)] = p_FDeg(res[syzIndex]->m[i-k],currRing)
                    +(*w)[pGetComp(res[syzIndex]->m[i-k])-1];
      }
    }
  }
/*--- end of the main loop --------------------------------------*/
/*--- deleting the temporare data structures --------------------*/
  if ((syzIndex!=0) && (res[syzIndex]!=NULL) && (idIs0(res[syzIndex])))
    idDelete(&res[syzIndex]);
  if (w !=NULL) delete w;
 
  Kstd1_deg=Kstd1_OldDeg;
  if (!oldDegBound)
    si_opt_1 &= ~Sy_bit(OPT_DEGBOUND);
 
  for (i=1; i<=syzIndex; i++)
  {
    if ((res[i]!=NULL) && ! idIs0(res[i]))
    {
      id_Shift(res[i],-rGetMaxSyzComp(i, currRing),currRing);
      res[i]->rank=idElem(res[i-1]);
    }
  }
/*--- going back to the original ring -------------------------*/
  if (origR != syz_ring)
  {
    rChangeCurrRing(origR); // should not be needed now?
    for (i=0; i<=syzIndex; i++)
    {
      res[i] = idrMoveR_NoSort(res[i], syz_ring, origR);
    }
    rDelete(syz_ring);
  }
  SI_RESTORE_OPT1(save1);
  return res;
}

sySchreyer()

syStrategy sySchreyer	(	ideal	arg,
		int	maxlength
	)

Definition at line 1018 of file syz0.cc.

{
  int rl;
  resolvente fr = sySchreyerResolvente(arg,maxlength,&(rl));
  if (fr==NULL) return NULL;
 
  // int typ0;
  syStrategy result=(syStrategy)omAlloc0(sizeof(ssyStrategy));
  result->length=rl;
  result->fullres = (resolvente)omAlloc0((rl /*result->length*/+1)*sizeof(ideal));
  for (int i=rl /*result->length*/-1;i>=0;i--)
  {
    if (fr[i]!=NULL)
    {
      idSkipZeroes(fr[i]);
      result->fullres[i] = fr[i];
      fr[i] = NULL;
    }
  }
  if (currRing->qideal!=NULL)
  {
    for (int i=0; i<rl; i++)
    {
      if (result->fullres[i]!=NULL)
      {
        ideal t=kNF(currRing->qideal,NULL,result->fullres[i]);
        idDelete(&result->fullres[i]);
        result->fullres[i]=t;
        if (i<rl-1)
        {
          for(int j=IDELEMS(t)-1;j>=0; j--)
          {
            if ((t->m[j]==NULL) && (result->fullres[i+1]!=NULL))
            {
              for(int k=IDELEMS(result->fullres[i+1])-1;k>=0; k--)
              {
                if (result->fullres[i+1]->m[k]!=NULL)
                {
                  pDeleteComp(&(result->fullres[i+1]->m[k]),j+1);
                }
              }
            }
          }
        }
        idSkipZeroes(result->fullres[i]);
      }
    }
    if ((rl>maxlength) && (result->fullres[rl-1]!=NULL))
    {
      idDelete(&result->fullres[rl-1]);
    }
  }
  omFreeSize((ADDRESS)fr,(rl /*result->length*/)*sizeof(ideal));
  return result;
}

sySchreyerResolvente()

resolvente sySchreyerResolvente	(	ideal	arg,
		int	maxlength,
		int *	length,
		BOOLEAN	isMonomial = FALSE,
		BOOLEAN	notReplace = FALSE
	)

Definition at line 855 of file syz0.cc.

{
  ideal mW=NULL;
  int i,syzIndex = 0,j=0;
  intvec * modcomp=NULL,*w=NULL;
  // int ** wv=NULL;
  tHomog hom=(tHomog)idHomModule(arg,NULL,&w);
  ring origR = currRing;
  ring syRing = NULL;
 
  if ((!isMonomial) && syTestOrder(arg))
  {
    WerrorS("sres only implemented for modules with ordering  ..,c or ..,C");
    return NULL;
  }
  *length = 4;
  resolvente res = (resolvente)omAlloc0(4*sizeof(ideal)),newres;
  res[0] = idCopy(arg);
 
  while ((!idIs0(res[syzIndex])) && ((maxlength==-1) || (syzIndex<maxlength)))
  {
    i = IDELEMS(res[syzIndex]);
    //while ((i!=0) && (!res[syzIndex]->m[i-1])) i--;
    if (syzIndex+1==*length)
    {
      newres = (resolvente)omAlloc0((*length+4)*sizeof(ideal));
      // for (j=0;j<*length+4;j++) newres[j] = NULL;
      for (j=0;j<*length;j++) newres[j] = res[j];
      omFreeSize((ADDRESS)res,*length*sizeof(ideal));
      *length += 4;
      res=newres;
    }
 
    if ((hom==isHomog)|| (rHasGlobalOrdering(origR)))
    {
      if (syzIndex==0) syInitSort(res[0],&modcomp);
 
      if ((syzIndex==0) && !rRing_has_CompLastBlock(currRing))
        res[syzIndex+1] = sySchreyersSyzygiesFB(res[syzIndex],&modcomp,mW,FALSE);
      else
        res[syzIndex+1] = sySchreyersSyzygiesFB(res[syzIndex],&modcomp,mW);
 
      if (errorreported)
      {
        for (j=0;j<*length;j++) idDelete( &res[j] );
        omFreeSize((ADDRESS)res,*length*sizeof(ideal));
        return NULL;
      }
 
      mW = res[syzIndex];
    }
//idPrint(res[syzIndex+1]);
 
    if ( /*(*/ syzIndex==0 /*)*/ )
    {
      if ((hom==isHomog)|| (rHasGlobalOrdering(origR)))
      {
        syRing = rAssure_CompLastBlock(origR, TRUE);
        if (syRing != origR)
        {
          rChangeCurrRing(syRing);
          for (i=0; i<IDELEMS(res[1]); i++)
          {
            res[1]->m[i] = prMoveR( res[1]->m[i], origR, syRing);
          }
        }
        idTest(res[1]);
      }
      else
      {
        syRing = rAssure_SyzComp_CompLastBlock(origR);
        if (syRing != origR)
        {
          rChangeCurrRing(syRing);
          for (i=0; i<IDELEMS(res[0]); i++)
          {
            res[0]->m[i] = prMoveR( res[0]->m[i], origR, syRing);
          }
        }
        idTest(res[0]);
      }
    }
    if ((hom!=isHomog) && (rHasLocalOrMixedOrdering(origR)))
    {
      if (syzIndex==0) syInitSort(res[0],&modcomp);
      res[syzIndex+1] = sySchreyersSyzygiesFM(res[syzIndex],&modcomp);
      if (errorreported)
      {
        for (j=0;j<*length;j++) idDelete( &res[j] );
        omFreeSize((ADDRESS)res,*length*sizeof(ideal));
        return NULL;
      }
    }
    syzIndex++;
    if (TEST_OPT_PROT) Print("[%d]\n",syzIndex);
  }
  //syPrintResolution(res,1,*length);
  if ((hom!=isHomog) && (rHasLocalOrMixedOrdering(origR)))
  {
    syzIndex = 1;
    while ((syzIndex < *length) && (!idIs0(res[syzIndex])))
    {
      id_Shift(res[syzIndex],-rGetMaxSyzComp(syzIndex, currRing),currRing);
      syzIndex++;
    }
  }
  if ((hom==isHomog) || (rHasGlobalOrdering(origR)))
    syzIndex = 1;
  else
    syzIndex = 0;
  syReOrderResolventFB(res,*length,syzIndex+1);
  if (/*ringOrderChanged:*/ origR!=syRing && syRing != NULL)
  {
    rChangeCurrRing(origR);
    // Thomas: Here I assume that all (!) polys of res live in tmpR
    while ((syzIndex < *length) && (res[syzIndex]))
    {
      for (i=0;i<IDELEMS(res[syzIndex]);i++)
      {
        if (res[syzIndex]->m[i])
        {
          res[syzIndex]->m[i] = prMoveR( res[syzIndex]->m[i], syRing, origR);
        }
      }
      syzIndex++;
    }
//    j = 0; while (currRing->order[j]!=0) j++; // What was this for???!
    rDelete(syRing);
  }
  else
  {
    // Thomas -- are you sure that you have to "reorder" here?
    while ((syzIndex < *length) && (res[syzIndex]))
    {
      for (i=0;i<IDELEMS(res[syzIndex]);i++)
      {
        if (res[syzIndex]->m[i])
          res[syzIndex]->m[i] = pSortCompCorrect(res[syzIndex]->m[i]);
      }
      syzIndex++;
    }
  }
  if ((hom==isHomog) || (rHasGlobalOrdering(origR)))
  {
    if (res[1]!=NULL)
    {
      syReOrderResolventFB(res,2,1);
      for (i=0;i<IDELEMS(res[1]);i++)
      {
        if (res[1]->m[i])
          res[1]->m[i] = pSort(res[1]->m[i]);
      }
    }
  }
  //syPrintResolution(res,0,*length);
 
  //syMergeSortResolventFB(res,*length);
  if (modcomp!=NULL) delete modcomp;
  if (w!=NULL) delete w;
  return res;
}

sySchreyersSyzygiesB()

void sySchreyersSyzygiesB	(	polyset	F,
		int	Fmax,
		polyset *	Shdl,
		int *	Smax,
		BOOLEAN	noSort
	)

sySchreyersSyzygiesM()

void sySchreyersSyzygiesM	(	polyset	F,
		int	Fmax,
		polyset *	Shdl,
		int *	Smax,
		BOOLEAN	noSort
	)

sySize()

int sySize

(

syStrategy

syzstr

)

Definition at line 1829 of file syz1.cc.

{
  resolvente r=syzstr->res;
  if (r==NULL)
    r = syzstr->fullres;
  if (r==NULL)
    r = syzstr->minres;
  if (r==NULL)
  {
    WerrorS("No resolution found");
    return 0;
  }
  int i=syzstr->length;
  while ((i>0) && (r[i-1]==NULL)) i--;
  return i;
}

syTestOrder()

BOOLEAN syTestOrder

(

ideal

i

)

Definition at line 829 of file syz0.cc.

{
  int i=id_RankFreeModule(M,currRing);
  if (i == 0) return FALSE;
  int j=0;
 
  while ((currRing->order[j]!=ringorder_c) && (currRing->order[j]!=ringorder_C))
    j++;
  if (currRing->order[j+1]!=0)
    return TRUE;
  return FALSE;
}

Variable Documentation

currcomponents

EXTERN_VAR int* currcomponents

Definition at line 117 of file syz.h.

currShiftedComponents

EXTERN_VAR long* currShiftedComponents

Definition at line 118 of file syz.h.