source: git/Singular/iparith.cc @ 6180565

/****************************************
*  Computer Algebra System SINGULAR     *
****************************************/

/*
* ABSTRACT: table driven kernel interface, used by interpreter
*/
//long all_farey=0L;
//long farey_cnt=0L;

#include "kernel/mod2.h"

#include "factory/factory.h"

#include "coeffs/bigintmat.h"
#include "coeffs/coeffs.h"
#include "coeffs/numbers.h"

#include "misc/options.h"
#include "misc/intvec.h"
#include "misc/sirandom.h"
#include "misc/prime.h"

#include "polys/matpol.h"
#include "polys/monomials/maps.h"
#include "polys/sparsmat.h"
#include "polys/weight.h"
#include "polys/ext_fields/transext.h"
#include "polys/clapsing.h"

#include "kernel/combinatorics/stairc.h"
#include "kernel/combinatorics/hilb.h"

#include "kernel/linear_algebra/interpolation.h"
#include "kernel/linear_algebra/linearAlgebra.h"
#include "kernel/linear_algebra/MinorInterface.h"

#include "kernel/spectrum/GMPrat.h"
#include "kernel/groebner_walk/walkProc.h"
#include "kernel/oswrapper/timer.h"
#include "kernel/fglm/fglm.h"

#include "kernel/GBEngine/kstdfac.h"
#include "kernel/GBEngine/syz.h"
#include "kernel/GBEngine/kstd1.h"
#include "kernel/GBEngine/units.h"
#include "kernel/GBEngine/tgb.h"

#include "kernel/preimage.h"
#include "kernel/polys.h"
#include "kernel/ideals.h"

#include "Singular/mod_lib.h"
#include "Singular/fevoices.h"
#include "Singular/tok.h"
#include "Singular/ipid.h"
#include "Singular/sdb.h"
#include "Singular/subexpr.h"
#include "Singular/lists.h"
#include "Singular/maps_ip.h"

#include "Singular/ipconv.h"
#include "Singular/ipprint.h"
#include "Singular/attrib.h"
#include "Singular/links/silink.h"
#include "Singular/misc_ip.h"
#include "Singular/linearAlgebra_ip.h"

#include "Singular/number2.h"

#include "Singular/fglm.h"

#include "Singular/blackbox.h"
#include "Singular/newstruct.h"
#include "Singular/ipshell.h"
//#include "kernel/mpr_inout.h"
#include "reporter/si_signals.h"

#include <ctype.h>

// defaults for all commands: NO_NC | NO_RING | ALLOW_ZERODIVISOR

#ifdef HAVE_PLURAL
  #include "kernel/GBEngine/ratgring.h"
  #include "kernel/GBEngine/nc.h"
  #include "polys/nc/nc.h"
  #include "polys/nc/sca.h"
  #define  NC_MASK (3+64)
#else /* HAVE_PLURAL */
  #define  NC_MASK     0
#endif /* HAVE_PLURAL */

#ifdef HAVE_RINGS
  #define RING_MASK        4
  #define ZERODIVISOR_MASK 8
#else
  #define RING_MASK        0
  #define ZERODIVISOR_MASK 0
#endif
#define ALLOW_PLURAL     1
#define NO_NC            0
#define COMM_PLURAL      2
#define ALLOW_RING       4
#define NO_RING          0
#define NO_ZERODIVISOR   8
#define ALLOW_ZERODIVISOR  0
#define ALLOW_LP         64
#define ALLOW_NC         ALLOW_LP|ALLOW_PLURAL

#define ALLOW_ZZ (ALLOW_RING|NO_ZERODIVISOR)


// bit 4 for warning, if used at toplevel
#define WARN_RING        16
// bit 5: do no try automatic conversions
#define NO_CONVERSION    32

static BOOLEAN check_valid(const int p, const int op);

/*=============== types =====================*/
struct sValCmdTab
{
  short cmd;
  short start;
};

typedef sValCmdTab jjValCmdTab[];

struct _scmdnames
{
  char *name;
  short alias;
  short tokval;
  short toktype;
};
typedef struct _scmdnames cmdnames;

struct sValCmd1
{
  proc1 p;
  short cmd;
  short res;
  short arg;
  short valid_for;
};

typedef BOOLEAN (*proc2)(leftv,leftv,leftv);
struct sValCmd2
{
  proc2 p;
  short cmd;
  short res;
  short arg1;
  short arg2;
  short valid_for;
};

typedef BOOLEAN (*proc3)(leftv,leftv,leftv,leftv);
struct sValCmd3
{
  proc3 p;
  short cmd;
  short res;
  short arg1;
  short arg2;
  short arg3;
  short valid_for;
};
struct sValCmdM
{
  proc1 p;
  short cmd;
  short res;
  short number_of_args; /* -1: any, -2: any >0, .. */
  short valid_for;
};

typedef struct
{
  cmdnames *sCmds;             /**< array of existing commands */
  struct sValCmd1 *psValCmd1;
  struct sValCmd2 *psValCmd2;
  struct sValCmd3 *psValCmd3;
  struct sValCmdM *psValCmdM;
  unsigned nCmdUsed;      /**< number of commands used */
  unsigned nCmdAllocated; /**< number of commands-slots allocated */
  unsigned nLastIdentifier; /**< valid indentifieres are slot 1..nLastIdentifier */
} SArithBase;

/*---------------------------------------------------------------------*
 * File scope Variables (Variables share by several functions in
 *                       the same file )
 *
 *---------------------------------------------------------------------*/
STATIC_VAR SArithBase sArithBase;  /**< Base entry for arithmetic */

/*---------------------------------------------------------------------*
 * Extern Functions declarations
 *
 *---------------------------------------------------------------------*/
static int _gentable_sort_cmds(const void *a, const void *b);
extern int iiArithRemoveCmd(char *szName);
extern int iiArithAddCmd(const char *szName, short nAlias, short nTokval,
                         short nToktype, short nPos=-1);

/*============= proc =======================*/
static int iiTabIndex(const jjValCmdTab dArithTab, const int len, const int op);
static Subexpr jjMakeSub(leftv e);

/*============= vars ======================*/
EXTERN_VAR int cmdtok;
EXTERN_VAR BOOLEAN expected_parms;

#define ii_div_by_0 "div. by 0"

VAR int iiOp; /* the current operation*/

/*=================== simple helpers =================*/
static int iin_Int(number &n,coeffs cf)
{
  long l=n_Int(n,cf);
  int i=(int)l;
  if ((long)i==l) return l;
  return 0;
}
poly pHeadProc(poly p)
{
  return pHead(p);
}

int iiTokType(int op)
{
  for (unsigned i=0;i<sArithBase.nCmdUsed;i++)
  {
    if (sArithBase.sCmds[i].tokval==op)
      return sArithBase.sCmds[i].toktype;
  }
  return 0;
}

/*=================== operations with 2 args.: static proc =================*/
/* must be ordered: first operations for chars (infix ops),
 * then alphabetically */

static BOOLEAN jjOP_BIM_I(leftv res, leftv u, leftv v)
{
  bigintmat* aa= (bigintmat *)u->Data();
  int bb = (int)(long)(v->Data());
  if (errorreported) return TRUE;
  bigintmat *cc=NULL;
  switch (iiOp)
  {
    case '+': cc=bimAdd(aa,bb); break;
    case '-': cc=bimSub(aa,bb); break;
    case '*': cc=bimMult(aa,bb); break;
  }
  res->data=(char *)cc;
  return cc==NULL;
}
static BOOLEAN jjOP_I_BIM(leftv res, leftv u, leftv v)
{
  return jjOP_BIM_I(res, v, u);
}
static BOOLEAN jjOP_BIM_BI(leftv res, leftv u, leftv v)
{
  bigintmat* aa= (bigintmat *)u->Data();
  number bb = (number)(v->Data());
  if (errorreported) return TRUE;
  bigintmat *cc=NULL;
  switch (iiOp)
  {
    case '*': cc=bimMult(aa,bb,coeffs_BIGINT); break;
  }
  res->data=(char *)cc;
  return cc==NULL;
}
static BOOLEAN jjOP_BI_BIM(leftv res, leftv u, leftv v)
{
  return jjOP_BIM_BI(res, v, u);
}
static BOOLEAN jjOP_IV_I(leftv res, leftv u, leftv v)
{
  intvec* aa= (intvec *)u->CopyD(INTVEC_CMD);
  int bb = (int)(long)(v->Data());
  if (errorreported) return TRUE;
  switch (iiOp)
  {
    case '+': (*aa) += bb; break;
    case '-': (*aa) -= bb; break;
    case '*': (*aa) *= bb; break;
    case '/':
    case INTDIV_CMD: (*aa) /= bb; break;
    case '%': (*aa) %= bb; break;
  }
  res->data=(char *)aa;
  return FALSE;
}
static BOOLEAN jjOP_I_IV(leftv res, leftv u, leftv v)
{
  return jjOP_IV_I(res,v,u);
}
static BOOLEAN jjOP_IM_I(leftv res, leftv u, leftv v)
{
  intvec* aa= (intvec *)u->CopyD(INTVEC_CMD);
  int bb = (int)(long)(v->Data());
  int i=si_min(aa->rows(),aa->cols());
  switch (iiOp)
  {
    case '+': for (;i>0;i--) IMATELEM(*aa,i,i) += bb;
              break;
    case '-': for (;i>0;i--) IMATELEM(*aa,i,i) -= bb;
              break;
  }
  res->data=(char *)aa;
  return FALSE;
}
static BOOLEAN jjOP_I_IM(leftv res, leftv u, leftv v)
{
  return jjOP_IM_I(res,v,u);
}
static BOOLEAN jjCOLON(leftv res, leftv u, leftv v)
{
  int l=(int)(long)v->Data();
  if (l>=0)
  {
    int d=(int)(long)u->Data();
    intvec *vv=new intvec(l);
    int i;
    for(i=l-1;i>=0;i--) { (*vv)[i]=d; }
    res->data=(char *)vv;
  }
  return (l<0);
}
static BOOLEAN jjDOTDOT(leftv res, leftv u, leftv v)
{
  res->data=(char *)new intvec((int)(long)u->Data(),(int)(long)v->Data());
  return FALSE;
}
static void jjEQUAL_REST(leftv res,leftv u,leftv v);
static BOOLEAN jjCOMPARE_IV(leftv res, leftv u, leftv v)
{
  intvec*    a = (intvec * )(u->Data());
  intvec*    b = (intvec * )(v->Data());
  int r=a->compare(b);
  switch  (iiOp)
  {
    case '<':
      res->data  = (char *) (r<0);
      break;
    case '>':
      res->data  = (char *) (r>0);
      break;
    case LE:
      res->data  = (char *) (r<=0);
      break;
    case GE:
      res->data  = (char *) (r>=0);
      break;
    case EQUAL_EQUAL:
    case NOTEQUAL: /* negation handled by jjEQUAL_REST */
      res->data  = (char *) (r==0);
      break;
  }
  jjEQUAL_REST(res,u,v);
  if(r==-2) { WerrorS("size incompatible"); return TRUE; }
  return FALSE;
}
static BOOLEAN jjCOMPARE_BIM(leftv res, leftv u, leftv v)
{
  bigintmat*    a = (bigintmat * )(u->Data());
  bigintmat*    b = (bigintmat * )(v->Data());
  int r=a->compare(b);
  switch  (iiOp)
  {
    case '<':
      res->data  = (char *) (r<0);
      break;
    case '>':
      res->data  = (char *) (r>0);
      break;
    case LE:
      res->data  = (char *) (r<=0);
      break;
    case GE:
      res->data  = (char *) (r>=0);
      break;
    case EQUAL_EQUAL:
    case NOTEQUAL: /* negation handled by jjEQUAL_REST */
      res->data  = (char *) (r==0);
      break;
  }
  jjEQUAL_REST(res,u,v);
  if(r==-2) { WerrorS("size incompatible"); return TRUE; }
  return FALSE;
}
static BOOLEAN jjCOMPARE_IV_I(leftv res, leftv u, leftv v)
{
  intvec* a = (intvec * )(u->Data());
  int     b = (int)(long)(v->Data());
  int r=a->compare(b);
  switch  (iiOp)
  {
    case '<':
      res->data  = (char *) (r<0);
      break;
    case '>':
      res->data  = (char *) (r>0);
      break;
    case LE:
      res->data  = (char *) (r<=0);
      break;
    case GE:
      res->data  = (char *) (r>=0);
      break;
    case EQUAL_EQUAL:
    case NOTEQUAL: /* negation handled by jjEQUAL_REST */
      res->data  = (char *) (r==0);
      break;
  }
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjCOMPARE_MA(leftv res, leftv u, leftv v)
{
  //Print("in: >>%s<<\n",my_yylinebuf);
  matrix a=(matrix)u->Data();
  matrix b=(matrix)v->Data();
  int r=mp_Compare(a,b,currRing);
  switch  (iiOp)
  {
    case '<':
      res->data  = (char *) (long)(r < 0);
      break;
    case '>':
      res->data  = (char *) (long)(r > 0);
      break;
    case LE:
      res->data  = (char *) (long)(r <= 0);
      break;
    case GE:
      res->data  = (char *) (long)(r >= 0);
      break;
    case EQUAL_EQUAL:
    case NOTEQUAL: /* negation handled by jjEQUAL_REST */
      res->data  = (char *)(long) (r == 0);
      break;
  }
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjCOMPARE_P(leftv res, leftv u, leftv v)
{
  poly p=(poly)u->Data();
  poly q=(poly)v->Data();
  int r=p_Compare(p,q,currRing);
  switch  (iiOp)
  {
    case '<':
      res->data  = (char *) (r < 0);
      break;
    case '>':
      res->data  = (char *) (r > 0);
      break;
    case LE:
      res->data  = (char *) (r <= 0);
      break;
    case GE:
      res->data  = (char *) (r >= 0);
      break;
    //case EQUAL_EQUAL:
    //case NOTEQUAL: /* negation handled by jjEQUAL_REST */
    //  res->data  = (char *) (r == 0);
    //  break;
  }
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjCOMPARE_S(leftv res, leftv u, leftv v)
{
  char*    a = (char * )(u->Data());
  char*    b = (char * )(v->Data());
  int result = strcmp(a,b);
  switch  (iiOp)
  {
    case '<':
      res->data  = (char *) (result  < 0);
      break;
    case '>':
      res->data  = (char *) (result  > 0);
      break;
    case LE:
      res->data  = (char *) (result  <= 0);
      break;
    case GE:
      res->data  = (char *) (result  >= 0);
      break;
    case EQUAL_EQUAL:
    case NOTEQUAL: /* negation handled by jjEQUAL_REST */
      res->data  = (char *) (result  == 0);
      break;
  }
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjOP_REST(leftv res, leftv u, leftv v)
{
  if (u->Next()!=NULL)
  {
    u=u->next;
    res->next = (leftv)omAllocBin(sleftv_bin);
    return iiExprArith2(res->next,u,iiOp,v);
  }
  else if (v->Next()!=NULL)
  {
    v=v->next;
    res->next = (leftv)omAllocBin(sleftv_bin);
    return iiExprArith2(res->next,u,iiOp,v);
  }
  return FALSE;
}
static BOOLEAN jjPOWER_I(leftv res, leftv u, leftv v)
{
  int b=(int)(long)u->Data();
  int e=(int)(long)v->Data();
  int rc = 1;
  BOOLEAN overflow=FALSE;
  if (e >= 0)
  {
    if (b==0)
    {
      rc=(e==0);
    }
    else if ((e==0)||(b==1))
    {
      rc= 1;
    }
    else if (b== -1)
    {
      if (e&1) rc= -1;
      else     rc= 1;
    }
    else
    {
      int oldrc;
      while ((e--)!=0)
      {
        oldrc=rc;
        rc *= b;
        if (!overflow)
        {
          if(rc/b!=oldrc) overflow=TRUE;
        }
      }
      if (overflow)
        WarnS("int overflow(^), result may be wrong");
    }
    res->data = (char *)((long)rc);
    if (u!=NULL) return jjOP_REST(res,u,v);
    return FALSE;
  }
  else
  {
    WerrorS("exponent must be non-negative");
    return TRUE;
  }
}
static BOOLEAN jjPOWER_BI(leftv res, leftv u, leftv v)
{
  int e=(int)(long)v->Data();
  number n=(number)u->Data();
  if (e>=0)
  {
    n_Power(n,e,(number*)&res->data,coeffs_BIGINT);
  }
  else
  {
    WerrorS("exponent must be non-negative");
    return TRUE;
  }
  if (u!=NULL) return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjPOWER_N(leftv res, leftv u, leftv v)
{
  int e=(int)(long)v->Data();
  number n=(number)u->Data();
  int d=0;
  if (e<0)
  {
    n=nInvers(n);
    e=-e;
    d=1;
  }
  number r;
  nPower(n,e,(number*)&r);
  res->data=(char*)r;
  if (d) nDelete(&n);
  if (u!=NULL) return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjPOWER_P(leftv res, leftv u, leftv v)
{
  int v_i=(int)(long)v->Data();
  if (v_i<0)
  {
    WerrorS("exponent must be non-negative");
    return TRUE;
  }
  poly u_p=(poly)u->CopyD(POLY_CMD);
  if ((u_p!=NULL)
  #ifdef HAVE_SHIFTBBA
  && (!rIsLPRing(currRing))
  #endif
  && ((v_i!=0) &&
      ((long)pTotaldegree(u_p) > (signed long)currRing->bitmask / (signed long)v_i/2)))
  {
    Werror("OVERFLOW in power(d=%ld, e=%d, max=%ld)",
                                    pTotaldegree(u_p),v_i,currRing->bitmask/2);
    pDelete(&u_p);
    return TRUE;
  }
  res->data = (char *)pPower(u_p,v_i);
  if (u!=NULL) return jjOP_REST(res,u,v);
  return errorreported; /* pPower may set errorreported via Werror */
}
static BOOLEAN jjPOWER_ID(leftv res, leftv u, leftv v)
{
  res->data = (char *)id_Power((ideal)(u->Data()),(int)(long)(v->Data()), currRing);
  if (u!=NULL) return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjPLUSMINUS_Gen(leftv res, leftv u, leftv v)
{
  u=u->next;
  v=v->next;
  if (u==NULL)
  {
    if (v==NULL) return FALSE;      /* u==NULL, v==NULL */
    if (iiOp=='-')                  /* u==NULL, v<>NULL, iiOp=='-'*/
    {
      do
      {
        if (res->next==NULL)
          res->next = (leftv)omAlloc0Bin(sleftv_bin);
        leftv tmp_v=v->next;
        v->next=NULL;
        BOOLEAN b=iiExprArith1(res->next,v,'-');
        v->next=tmp_v;
        if (b)
          return TRUE;
        v=tmp_v;
        res=res->next;
      } while (v!=NULL);
      return FALSE;
    }
    loop                            /* u==NULL, v<>NULL, iiOp=='+' */
    {
      res->next = (leftv)omAlloc0Bin(sleftv_bin);
      res=res->next;
      res->data = v->CopyD();
      res->rtyp = v->Typ();
      v=v->next;
      if (v==NULL) return FALSE;
    }
  }
  if (v!=NULL)                     /* u<>NULL, v<>NULL */
  {
    do
    {
      res->next = (leftv)omAlloc0Bin(sleftv_bin);
      leftv tmp_u=u->next; u->next=NULL;
      leftv tmp_v=v->next; v->next=NULL;
      BOOLEAN b=iiExprArith2(res->next,u,iiOp,v);
      u->next=tmp_u;
      v->next=tmp_v;
      if (b)
        return TRUE;
      u=tmp_u;
      v=tmp_v;
      res=res->next;
    } while ((u!=NULL) && (v!=NULL));
    return FALSE;
  }
  loop                             /* u<>NULL, v==NULL */
  {
    res->next = (leftv)omAlloc0Bin(sleftv_bin);
    res=res->next;
    res->data = u->CopyD();
    res->rtyp = u->Typ();
    u=u->next;
    if (u==NULL) return FALSE;
  }
}
static BOOLEAN jjCOLCOL(leftv res, leftv u, leftv v)
{
  switch(u->Typ())
  {
    case 0:
    {
      int name_err=0;
      if(isupper(u->name[0]))
      {
        const char *c=u->name+1;
        while((*c!='\0')&&(islower(*c)||(isdigit(*c))||(*c=='_'))) c++;
        if (*c!='\0')
          name_err=1;
        else
        {
          Print("%s of type 'ANY'. Trying load.\n", u->name);
          if(iiTryLoadLib(u, u->name))
          {
            Werror("'%s' no such package", u->name);
            return TRUE;
          }
          syMake(u,u->name,NULL);
        }
      }
      else name_err=1;
      if(name_err)
      { Werror("'%s' is an invalid package name",u->name);return TRUE;}
      // and now, after the loading: use next case !!! no break !!!
    }
    case PACKAGE_CMD:
      {
        package pa=(package)u->Data();
        if (u->rtyp==IDHDL) pa=IDPACKAGE((idhdl)u->data);
        if((!pa->loaded)
        && (pa->language > LANG_TOP))
        {
          Werror("'%s' not loaded", u->name);
          return TRUE;
        }
        if(v->rtyp == IDHDL)
        {
          v->name = omStrDup(v->name);
        }
        else if (v->rtyp!=0)
        {
          WerrorS("reserved name with ::");
          return TRUE;
        }
        v->req_packhdl=pa;
        syMake(v, v->name, pa);
        memcpy(res, v, sizeof(sleftv));
        memset(v, 0, sizeof(sleftv));
      }
      break;
    case DEF_CMD:
      break;
    default:
      WerrorS("<package>::<id> expected");
      return TRUE;
  }
  return FALSE;
}
static BOOLEAN jjPLUS_I(leftv res, leftv u, leftv v)
{
  unsigned int a=(unsigned int)(unsigned long)u->Data();
  unsigned int b=(unsigned int)(unsigned long)v->Data();
  unsigned int c=a+b;
  res->data = (char *)((long)c);
  if (((Sy_bit(31)&a)==(Sy_bit(31)&b))&&((Sy_bit(31)&a)!=(Sy_bit(31)&c)))
  {
    WarnS("int overflow(+), result may be wrong");
  }
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_BI(leftv res, leftv u, leftv v)
{
  res->data = (char *)(n_Add((number)u->Data(), (number)v->Data(),coeffs_BIGINT));
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_N(leftv res, leftv u, leftv v)
{
  res->data = (char *)(nAdd((number)u->Data(), (number)v->Data()));
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_V(leftv res, leftv u, leftv v)
{
  res->data = (char *)(pAdd((poly)u->CopyD(POLY_CMD) , (poly)v->CopyD(POLY_CMD)));
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_B(leftv res, leftv u, leftv v)
{
  //res->data = (char *)(pAdd((poly)u->CopyD(POLY_CMD) , (poly)v->CopyD(POLY_CMD)));
  sBucket_pt b=sBucketCreate(currRing);
  poly p=(poly)u->CopyD(POLY_CMD);
  int l=pLength(p);
  sBucket_Add_p(b,p,l);
  p= (poly)v->CopyD(POLY_CMD);
  l=pLength(p);
  sBucket_Add_p(b,p,l);
  res->data=(void*)b;
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_B_P(leftv res, leftv u, leftv v)
{
  sBucket_pt b=(sBucket_pt)u->CopyD(BUCKET_CMD);
  poly p= (poly)v->CopyD(POLY_CMD);
  int l=pLength(p);
  sBucket_Add_p(b,p,l);
  res->data=(void*)b;
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_IV(leftv res, leftv u, leftv v)
{
  res->data = (char *)ivAdd((intvec*)(u->Data()), (intvec*)(v->Data()));
  if (res->data==NULL)
  {
     WerrorS("intmat size not compatible");
     return TRUE;
  }
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_BIM(leftv res, leftv u, leftv v)
{
  res->data = (char *)bimAdd((bigintmat*)(u->Data()), (bigintmat*)(v->Data()));
  if (res->data==NULL)
  {
    WerrorS("bigintmat/cmatrix not compatible");
    return TRUE;
  }
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_MA(leftv res, leftv u, leftv v)
{
  matrix A=(matrix)u->Data(); matrix B=(matrix)v->Data();
  res->data = (char *)(mp_Add(A , B, currRing));
  if (res->data==NULL)
  {
     Werror("matrix size not compatible(%dx%d, %dx%d)",
             MATROWS(A),MATCOLS(A),MATROWS(B),MATCOLS(B));
     return TRUE;
  }
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_SM(leftv res, leftv u, leftv v)
{
  ideal A=(ideal)u->Data(); ideal B=(ideal)v->Data();
  res->data = (char *)(sm_Add(A , B, currRing));
  if (res->data==NULL)
  {
     Werror("matrix size not compatible(%dx%d, %dx%d)",
             (int)A->rank,IDELEMS(A),(int)B->rank,IDELEMS(B));
     return TRUE;
  }
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_MA_P(leftv res, leftv u, leftv v)
{
  matrix m=(matrix)u->Data();
  matrix p= mp_InitP(m->nrows,m->ncols,(poly)(v->CopyD(POLY_CMD)),currRing);
  if (iiOp=='+')
    res->data = (char *)mp_Add(m , p,currRing);
  else
    res->data = (char *)mp_Sub(m , p,currRing);
  idDelete((ideal *)&p);
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_P_MA(leftv res, leftv u, leftv v)
{
  return jjPLUS_MA_P(res,v,u);
}
static BOOLEAN jjPLUS_S(leftv res, leftv u, leftv v)
{
  char*    a = (char * )(u->Data());
  char*    b = (char * )(v->Data());
  char*    r = (char * )omAlloc(strlen(a) + strlen(b) + 1);
  strcpy(r,a);
  strcat(r,b);
  res->data=r;
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjPLUS_ID(leftv res, leftv u, leftv v)
{
  res->data = (char *)idAdd((ideal)u->Data(),(ideal)v->Data());
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjMINUS_I(leftv res, leftv u, leftv v)
{
  void *ap=u->Data(); void *bp=v->Data();
  int aa=(int)(long)ap;
  int bb=(int)(long)bp;
  int cc=aa-bb;
  unsigned int a=(unsigned int)(unsigned long)ap;
  unsigned int b=(unsigned int)(unsigned long)bp;
  unsigned int c=a-b;
  if (((Sy_bit(31)&a)!=(Sy_bit(31)&b))&&((Sy_bit(31)&a)!=(Sy_bit(31)&c)))
  {
    WarnS("int overflow(-), result may be wrong");
  }
  res->data = (char *)((long)cc);
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjMINUS_BI(leftv res, leftv u, leftv v)
{
  res->data = (char *)(n_Sub((number)u->Data(), (number)v->Data(),coeffs_BIGINT));
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjMINUS_N(leftv res, leftv u, leftv v)
{
  res->data = (char *)(nSub((number)u->Data(), (number)v->Data()));
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjMINUS_V(leftv res, leftv u, leftv v)
{
  res->data = (char *)(pSub((poly)u->CopyD(POLY_CMD) , (poly)v->CopyD(POLY_CMD)));
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjMINUS_B_P(leftv res, leftv u, leftv v)
{
  sBucket_pt b=(sBucket_pt)u->CopyD(BUCKET_CMD);
  poly p= (poly)v->CopyD(POLY_CMD);
  int l=pLength(p);
  p=p_Neg(p,currRing);
  sBucket_Add_p(b,p,l);
  res->data=(void*)b;
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjMINUS_B(leftv res, leftv u, leftv v)
{
  sBucket_pt b=sBucketCreate(currRing);
  poly p=(poly)u->CopyD(POLY_CMD);
  int l=pLength(p);
  sBucket_Add_p(b,p,l);
  p= (poly)v->CopyD(POLY_CMD);
  p=p_Neg(p,currRing);
  l=pLength(p);
  sBucket_Add_p(b,p,l);
  res->data=(void*)b;
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjMINUS_IV(leftv res, leftv u, leftv v)
{
  res->data = (char *)ivSub((intvec*)(u->Data()), (intvec*)(v->Data()));
  if (res->data==NULL)
  {
     WerrorS("intmat size not compatible");
     return TRUE;
  }
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjMINUS_BIM(leftv res, leftv u, leftv v)
{
  res->data = (char *)bimSub((bigintmat*)(u->Data()), (bigintmat*)(v->Data()));
  if (res->data==NULL)
  {
    WerrorS("bigintmat/cmatrix not compatible");
    return TRUE;
  }
  return jjPLUSMINUS_Gen(res,u,v);
}
static BOOLEAN jjMINUS_MA(leftv res, leftv u, leftv v)
{
  matrix A=(matrix)u->Data(); matrix B=(matrix)v->Data();
  res->data = (char *)(mp_Sub(A , B, currRing));
  if (res->data==NULL)
  {
     Werror("matrix size not compatible(%dx%d, %dx%d)",
             MATROWS(A),MATCOLS(A),MATROWS(B),MATCOLS(B));
     return TRUE;
  }
  return jjPLUSMINUS_Gen(res,u,v);
  return FALSE;
}
static BOOLEAN jjMINUS_SM(leftv res, leftv u, leftv v)
{
  ideal A=(ideal)u->Data(); ideal B=(ideal)v->Data();
  res->data = (char *)(sm_Sub(A , B, currRing));
  if (res->data==NULL)
  {
     Werror("matrix size not compatible(%dx%d, %dx%d)",
             (int)A->rank,IDELEMS(A),(int)B->rank,IDELEMS(B));
     return TRUE;
  }
  return jjPLUSMINUS_Gen(res,u,v);
  return FALSE;
}
static BOOLEAN jjTIMES_I(leftv res, leftv u, leftv v)
{
  int a=(int)(long)u->Data();
  int b=(int)(long)v->Data();
  int64 c=(int64)a * (int64)b;
  if ((c>INT_MAX)||(c<INT_MIN))
    WarnS("int overflow(*), result may be wrong");
  res->data = (char *)((long)((int)c));
  if ((u->Next()!=NULL) || (v->Next()!=NULL))
    return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjTIMES_BI(leftv res, leftv u, leftv v)
{
  res->data = (char *)(n_Mult( (number)u->Data(), (number)v->Data(),coeffs_BIGINT));
  if ((v->next!=NULL) || (u->next!=NULL))
    return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjTIMES_N(leftv res, leftv u, leftv v)
{
  res->data = (char *)(nMult( (number)u->Data(), (number)v->Data()));
  number n=(number)res->data;
  nNormalize(n);
  res->data=(char *)n;
  if ((v->next!=NULL) || (u->next!=NULL))
    return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjTIMES_P(leftv res, leftv u, leftv v)
{
  poly a;
  poly b;
  if (v->next==NULL)
  {
    if (u->next==NULL)
    {
      a=(poly)u->Data(); // works also for VECTOR_CMD
      b=(poly)v->Data(); // works also for VECTOR_CMD
      if ((a!=NULL) && (b!=NULL)
      && ((long)pTotaldegree(a)>si_max((long)rVar(currRing),(long)currRing->bitmask/2)-(long)pTotaldegree(b)))
      {
        Warn("possible OVERFLOW in mult(d=%ld, d=%ld, max=%ld)",
          pTotaldegree(a),pTotaldegree(b),currRing->bitmask/2);
      }
      res->data = (char *)(pp_Mult_qq( a, b, currRing));
      return FALSE;
    }
    // u->next exists: copy v
    a=(poly)u->CopyD(POLY_CMD); // works also for VECTOR_CMD
    b=pCopy((poly)v->Data());
    if ((a!=NULL) && (b!=NULL)
    && (pTotaldegree(a)+pTotaldegree(b)>si_max((long)rVar(currRing),(long)currRing->bitmask/2)))
    {
      Warn("possible OVERFLOW in mult(d=%ld, d=%ld, max=%ld)",
          pTotaldegree(a),pTotaldegree(b),currRing->bitmask/2);
    }
    res->data = (char *)(pMult( a, b));
    return jjOP_REST(res,u,v);
  }
  // v->next exists: copy u
  a=pCopy((poly)u->Data());
  b=(poly)v->CopyD(POLY_CMD); // works also for VECTOR_CMD
  if ((a!=NULL) && (b!=NULL)
  && ((unsigned long)(pTotaldegree(a)+pTotaldegree(b))>=currRing->bitmask/2))
  {
    pDelete(&a);
    pDelete(&b);
    WerrorS("OVERFLOW");
    return TRUE;
  }
  res->data = (char *)(pMult( a, b));
  return jjOP_REST(res,u,v);
}
static BOOLEAN jjTIMES_ID(leftv res, leftv u, leftv v)
{
  res->data = (char *)idMult((ideal)u->Data(),(ideal)v->Data());
  if ((v->next!=NULL) || (u->next!=NULL))
    return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjTIMES_IV(leftv res, leftv u, leftv v)
{
  res->data = (char *)ivMult((intvec*)(u->Data()), (intvec*)(v->Data()));
  if (res->data==NULL)
  {
     WerrorS("intmat size not compatible");
     return TRUE;
  }
  if ((v->next!=NULL) || (u->next!=NULL))
    return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjTIMES_BIM(leftv res, leftv u, leftv v)
{
  res->data = (char *)bimMult((bigintmat*)(u->Data()), (bigintmat*)(v->Data()));
  if (res->data==NULL)
  {
    WerrorS("bigintmat/cmatrix not compatible");
    return TRUE;
  }
  if ((v->next!=NULL) || (u->next!=NULL))
    return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjTIMES_MA_BI1(leftv res, leftv u, leftv v)
{
  nMapFunc nMap=n_SetMap(coeffs_BIGINT,currRing->cf);
  if (nMap==NULL) return TRUE;
  number n=nMap((number)v->Data(),coeffs_BIGINT,currRing->cf);
  poly p=pNSet(n);
  ideal I= (ideal)mp_MultP((matrix)u->CopyD(MATRIX_CMD),p,currRing);
  res->data = (char *)I;
  return FALSE;
}
static BOOLEAN jjTIMES_MA_BI2(leftv res, leftv u, leftv v)
{
  return jjTIMES_MA_BI1(res,v,u);
}
static BOOLEAN jjTIMES_MA_P1(leftv res, leftv u, leftv v)
{
  poly p=(poly)v->CopyD(POLY_CMD);
  int r=pMaxComp(p);/* recompute the rank for the case ideal*vector*/
  ideal I= (ideal)mp_MultP((matrix)u->CopyD(MATRIX_CMD),p,currRing);
  if (r>0) I->rank=r;
  res->data = (char *)I;
  return FALSE;
}
static BOOLEAN jjTIMES_MA_P2(leftv res, leftv u, leftv v)
{
  poly p=(poly)u->CopyD(POLY_CMD);
  int r=pMaxComp(p);/* recompute the rank for the case ideal*vector*/
  ideal I= (ideal)pMultMp(p,(matrix)v->CopyD(MATRIX_CMD),currRing);
  if (r>0) I->rank=r;
  res->data = (char *)I;
  return FALSE;
}
static BOOLEAN jjTIMES_MA_N1(leftv res, leftv u, leftv v)
{
  number n=(number)v->CopyD(NUMBER_CMD);
  poly p=pNSet(n);
  res->data = (char *)mp_MultP((matrix)u->CopyD(MATRIX_CMD),p,currRing);
  return FALSE;
}
static BOOLEAN jjTIMES_MA_N2(leftv res, leftv u, leftv v)
{
  return jjTIMES_MA_N1(res,v,u);
}
static BOOLEAN jjTIMES_MA_I1(leftv res, leftv u, leftv v)
{
  res->data = (char *)mp_MultI((matrix)u->CopyD(MATRIX_CMD),(int)(long)v->Data(),currRing);
  return FALSE;
}
static BOOLEAN jjTIMES_MA_I2(leftv res, leftv u, leftv v)
{
  return jjTIMES_MA_I1(res,v,u);
}
static BOOLEAN jjTIMES_MA(leftv res, leftv u, leftv v)
{
  matrix A=(matrix)u->Data(); matrix B=(matrix)v->Data();
  res->data = (char *)mp_Mult(A,B,currRing);
  if (res->data==NULL)
  {
     Werror("matrix size not compatible(%dx%d, %dx%d) in *",
             MATROWS(A),MATCOLS(A),MATROWS(B),MATCOLS(B));
     return TRUE;
  }
  if ((v->next!=NULL) || (u->next!=NULL))
    return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjTIMES_SM(leftv res, leftv u, leftv v)
{
  ideal A=(ideal)u->Data(); ideal B=(ideal)v->Data();
  res->data = (char *)sm_Mult(A,B,currRing);
  if (res->data==NULL)
  {
     Werror("matrix size not compatible(%dx%d, %dx%d) in *",
             (int)A->rank,IDELEMS(A),(int)B->rank,IDELEMS(B));
     return TRUE;
  }
  if ((v->next!=NULL) || (u->next!=NULL))
    return jjOP_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjGE_BI(leftv res, leftv u, leftv v)
{
  number h=n_Sub((number)u->Data(),(number)v->Data(),coeffs_BIGINT);
  res->data = (char *) (n_GreaterZero(h,coeffs_BIGINT)||(n_IsZero(h,coeffs_BIGINT)));
  n_Delete(&h,coeffs_BIGINT);
  return FALSE;
}
static BOOLEAN jjGE_I(leftv res, leftv u, leftv v)
{
  res->data = (char *)(long)((int)((long)u->Data()) >= (int)((long)v->Data()));
  return FALSE;
}
static BOOLEAN jjGE_N(leftv res, leftv u, leftv v)
{
  res->data = (char *)(long) (nGreater((number)u->Data(),(number)v->Data())
                       || nEqual((number)u->Data(),(number)v->Data()));
  return FALSE;
}
static BOOLEAN jjGT_BI(leftv res, leftv u, leftv v)
{
  number h=n_Sub((number)u->Data(),(number)v->Data(),coeffs_BIGINT);
  res->data = (char *)(long) (n_GreaterZero(h,coeffs_BIGINT)&&(!n_IsZero(h,coeffs_BIGINT)));
  n_Delete(&h,coeffs_BIGINT);
  return FALSE;
}
static BOOLEAN jjGT_I(leftv res, leftv u, leftv v)
{
  res->data = (char *)(long)((int)((long)u->Data()) > (int)((long)v->Data()));
  return FALSE;
}
static BOOLEAN jjGT_N(leftv res, leftv u, leftv v)
{
  res->data = (char *)(long)(nGreater((number)u->Data(),(number)v->Data()));
  return FALSE;
}
static BOOLEAN jjLE_BI(leftv res, leftv u, leftv v)
{
  return jjGE_BI(res,v,u);
}
static BOOLEAN jjLE_I(leftv res, leftv u, leftv v)
{
  res->data = (char *)(long)((int)((long)u->Data()) <= (int)((long)v->Data()));
  return FALSE;
}
static BOOLEAN jjLE_N(leftv res, leftv u, leftv v)
{
  return jjGE_N(res,v,u);
}
static BOOLEAN jjLT_BI(leftv res, leftv u, leftv v)
{
  return jjGT_BI(res,v,u);
}
static BOOLEAN jjLT_I(leftv res, leftv u, leftv v)
{
  res->data = (char *)(long)((int)((long)u->Data()) < (int)((long)v->Data()));
  return FALSE;
}
static BOOLEAN jjLT_N(leftv res, leftv u, leftv v)
{
  return jjGT_N(res,v,u);
}
static BOOLEAN jjDIVMOD_I(leftv res, leftv u, leftv v)
{
  if (iiOp=='/') Warn("int division with `/`: use `div` instead in line >>%s<<",my_yylinebuf);
  int a= (int)(long)u->Data();
  int b= (int)(long)v->Data();
  if (b==0)
  {
    WerrorS(ii_div_by_0);
    return TRUE;
  }
  int c=a%b;
  int r=0;
  switch (iiOp)
  {
    case '%':
        r=c;            break;
    case '/':
    case INTDIV_CMD:
        r=((a-c) /b);   break;
  }
  res->data=(void *)((long)r);
  return FALSE;
}
static BOOLEAN jjDIV_BI(leftv res, leftv u, leftv v)
{
  number q=(number)v->Data();
  if (n_IsZero(q,coeffs_BIGINT))
  {
    WerrorS(ii_div_by_0);
    return TRUE;
  }
  q = n_Div((number)u->Data(),q,coeffs_BIGINT);
  n_Normalize(q,coeffs_BIGINT);
  res->data = (char *)q;
  return FALSE;
}
static BOOLEAN jjDIV_N(leftv res, leftv u, leftv v)
{
  number q=(number)v->Data();
  if (nIsZero(q))
  {
    WerrorS(ii_div_by_0);
    return TRUE;
  }
  q = nDiv((number)u->Data(),q);
  nNormalize(q);
  res->data = (char *)q;
  return FALSE;
}
static BOOLEAN jjDIV_P(leftv res, leftv u, leftv v)
{
  poly q=(poly)v->Data();
  poly p=(poly)(u->Data());
  res->data=(void*)(pp_Divide(p /*(poly)(u->Data())*/ ,
                                         q /*(poly)(v->Data())*/ ,currRing));
  if (res->data!=NULL) pNormalize((poly)res->data);
  return errorreported; /*there may be errors in p_Divide: div. ny 0, etc.*/
}
static BOOLEAN jjDIV_Ma(leftv res, leftv u, leftv v)
{
  poly q=(poly)v->Data();
  if (q==NULL)
  {
    WerrorS(ii_div_by_0);
    return TRUE;
  }
  matrix m=(matrix)(u->Data());
  int r=m->rows();
  int c=m->cols();
  matrix mm=mpNew(r,c);
  unsigned i,j;
  for(i=r;i>0;i--)
  {
    for(j=c;j>0;j--)
    {
      if (pNext(q)!=NULL)
      {
        MATELEM(mm,i,j) = singclap_pdivide( MATELEM(m,i,j) ,
                                           q /*(poly)(v->Data())*/, currRing );
      }
      else
        MATELEM(mm,i,j) = pp_DivideM(MATELEM(m,i,j),q,currRing);
    }
  }
  res->data=(char *)mm;
  return FALSE;
}
static BOOLEAN jjEQUAL_BI(leftv res, leftv u, leftv v)
{
  res->data = (char *)((long)n_Equal((number)u->Data(),(number)v->Data(),coeffs_BIGINT));
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjEQUAL_I(leftv res, leftv u, leftv v)
{
  res->data = (char *)((int)((long)u->Data()) == (int)((long)v->Data()));
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjEQUAL_Ma(leftv res, leftv u, leftv v)
{
  res->data = (char *)((long)mp_Equal((matrix)u->Data(),(matrix)v->Data(),currRing));
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjEQUAL_SM(leftv res, leftv u, leftv v)
{
  res->data = (char *)((long)sm_Equal((ideal)u->Data(),(ideal)v->Data(),currRing));
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjEQUAL_R(leftv res, leftv u, leftv v)
{
  res->data = (char *)(long)(u->Data()==v->Data());
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjEQUAL_N(leftv res, leftv u, leftv v)
{
  res->data = (char *)((long)nEqual((number)u->Data(),(number)v->Data()));
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static BOOLEAN jjEQUAL_P(leftv res, leftv u, leftv v)
{
  poly p=(poly)u->Data();
  poly q=(poly)v->Data();
  res->data = (char *) ((long)pEqualPolys(p,q));
  jjEQUAL_REST(res,u,v);
  return FALSE;
}
static void jjEQUAL_REST(leftv res,leftv u,leftv v)
{
  if ((res->data) && (u->next!=NULL) && (v->next!=NULL))
  {
    int save_iiOp=iiOp;
    if (iiOp==NOTEQUAL)
      iiExprArith2(res,u->next,EQUAL_EQUAL,v->next);
    else
      iiExprArith2(res,u->next,iiOp,v->next);
    iiOp=save_iiOp;
  }
  if (iiOp==NOTEQUAL) res->data=(char *)(!(long)res->data);
}
static BOOLEAN jjAND_I(leftv res, leftv u, leftv v)
{
  res->data = (char *)((long)u->Data() && (long)v->Data());
  return FALSE;
}
static BOOLEAN jjOR_I(leftv res, leftv u, leftv v)
{
  res->data = (char *)((long)u->Data() || (long)v->Data());
  return FALSE;
}
static BOOLEAN jjINDEX_I(leftv res, leftv u, leftv v)
{
  res->rtyp=u->rtyp; u->rtyp=0;
  res->data=u->data; u->data=NULL;
  res->name=u->name; u->name=NULL;
  res->e=u->e;       u->e=NULL;
  if (res->e==NULL) res->e=jjMakeSub(v);
  else
  {
    Subexpr sh=res->e;
    while (sh->next != NULL) sh=sh->next;
    sh->next=jjMakeSub(v);
  }
  if (u->next!=NULL)
  {
    leftv rn=(leftv)omAlloc0Bin(sleftv_bin);
    BOOLEAN bo=iiExprArith2(rn,u->next,iiOp,v);
    res->next=rn;
    return bo;
  }
  return FALSE;
}
static BOOLEAN jjINDEX_IV(leftv res, leftv u, leftv v)
{
  if ((u->rtyp!=IDHDL)||(u->e!=NULL))
  {
    WerrorS("indexed object must have a name");
    return TRUE;
  }
  intvec * iv=(intvec *)v->Data();
  leftv p=NULL;
  int i;
  sleftv t;
  memset(&t,0,sizeof(t));
  t.rtyp=INT_CMD;
  for (i=0;i<iv->length(); i++)
  {
    t.data=(char *)((long)(*iv)[i]);
    if (p==NULL)
    {
      p=res;
    }
    else
    {
      p->next=(leftv)omAlloc0Bin(sleftv_bin);
      p=p->next;
    }
    p->rtyp=IDHDL;
    p->data=u->data;
    p->name=u->name;
    p->flag=u->flag;
    p->e=jjMakeSub(&t);
  }
  u->rtyp=0;
  u->data=NULL;
  u->name=NULL;
  return FALSE;
}
static BOOLEAN jjINDEX_P(leftv res, leftv u, leftv v)
{
  poly p=(poly)u->Data();
  int i=(int)(long)v->Data();
  int j=0;
  while (p!=NULL)
  {
    j++;
    if (j==i)
    {
      res->data=(char *)pHead(p);
      return FALSE;
    }
    pIter(p);
  }
  return FALSE;
}
static BOOLEAN jjINDEX_PBu(leftv res, leftv u, leftv v)
{
  sBucket_pt b=(sBucket_pt)u->CopyD();
  sBucketCanonicalize(b);
  int l; poly p,pp;
  sBucketDestroyAdd(b, &pp, &l);
  int i=(int)(long)v->Data();
  int j=0;
  p=pp;
  while (p!=NULL)
  {
    j++;
    if (j==i)
    {
      res->data=(char *)pHead(p);
      p_Delete(&pp,currRing);
      return FALSE;
    }
    pIter(p);
  }
  p_Delete(&pp,currRing);
  return FALSE;
}
static BOOLEAN jjINDEX_P_IV(leftv res, leftv u, leftv v)
{
  poly p=(poly)u->Data();
  poly r=NULL;
  intvec *iv=(intvec *)v->CopyD(INTVEC_CMD);
  int i;
  int sum=0;
  for(i=iv->length()-1;i>=0;i--)
    sum+=(*iv)[i];
  int j=0;
  while ((p!=NULL) && (sum>0))
  {
    j++;
    for(i=iv->length()-1;i>=0;i--)
    {
      if (j==(*iv)[i])
      {
        r=pAdd(r,pHead(p));
        sum-=j;
        (*iv)[i]=0;
        break;
      }
    }
    pIter(p);
  }
  delete iv;
  res->data=(char *)r;
  return FALSE;
}
static BOOLEAN jjINDEX_V(leftv res, leftv u, leftv v)
{
  poly p=(poly)u->Data();
  int i=(int)(long)v->Data();
  res->data=(char *)p_Vec2Poly(p,i,currRing);
  return FALSE;
}
static BOOLEAN jjINDEX_V_IV(leftv res, leftv u, leftv v)
{
  poly p=(poly)u->CopyD(VECTOR_CMD);
  if (p!=NULL)
  {
    poly r=pOne();
    poly hp=r;
    intvec *iv=(intvec *)v->Data();
    int i;
    loop
    {
      for(i=0;i<iv->length();i++)
      {
        if (((int)pGetComp(p))==(*iv)[i])
        {
          poly h;
          pSplit(p,&h);
          pNext(hp)=p;
          p=h;
          pIter(hp);
          break;
        }
      }
      if (p==NULL) break;
      if (i==iv->length())
      {
        pLmDelete(&p);
        if (p==NULL) break;
      }
    }
    pLmDelete(&r);
    res->data=(char *)r;
  }
  return FALSE;
}
static BOOLEAN jjKLAMMER_rest(leftv res, leftv u, leftv v);
static BOOLEAN jjKLAMMER(leftv res, leftv u, leftv v)
{
  if(u->name==NULL) return TRUE;
  char * nn = (char *)omAlloc(strlen(u->name) + 14);
  sprintf(nn,"%s(%d)",u->name,(int)(long)v->Data());
  omFree((ADDRESS)u->name);
  u->name=NULL;
  char *n=omStrDup(nn);
  omFree((ADDRESS)nn);
  syMake(res,n);
  if (u->next!=NULL) return jjKLAMMER_rest(res,u->next,v);
  return FALSE;
}
static BOOLEAN jjKLAMMER_IV(leftv res, leftv u, leftv v)
{
  intvec * iv=(intvec *)v->Data();
  leftv p=NULL;
  int i;
  long slen = strlen(u->name) + 14;
  char *n = (char*) omAlloc(slen);

  for (i=0;i<iv->length(); i++)
  {
    if (p==NULL)
    {
      p=res;
    }
    else
    {
      p->next=(leftv)omAlloc0Bin(sleftv_bin);
      p=p->next;
    }
    sprintf(n,"%s(%d)",u->name,(*iv)[i]);
    syMake(p,omStrDup(n));
  }
  omFree((ADDRESS)u->name);
  u->name = NULL;
  omFreeSize(n, slen);
  if (u->next!=NULL) return jjKLAMMER_rest(res,u->next,v);
  return FALSE;
}
static BOOLEAN jjKLAMMER_rest(leftv res, leftv u, leftv v)
{
  leftv tmp=(leftv)omAllocBin(sleftv_bin);
  memset(tmp,0,sizeof(sleftv));
  BOOLEAN b;
  if (v->Typ()==INTVEC_CMD)
    b=jjKLAMMER_IV(tmp,u,v);
  else
    b=jjKLAMMER(tmp,u,v);
  if (b)
  {
    omFreeBin(tmp,sleftv_bin);
    return TRUE;
  }
  leftv h=res;
  while (h->next!=NULL) h=h->next;
  h->next=tmp;
  return FALSE;
}
BOOLEAN jjPROC(leftv res, leftv u, leftv v)
{
  void *d;
  Subexpr e;
  int typ;
  BOOLEAN t=FALSE;
  idhdl tmp_proc=NULL;
  if ((u->rtyp!=IDHDL)||(u->e!=NULL))
  {
    tmp_proc=(idhdl)omAlloc0(sizeof(idrec));
    tmp_proc->id="_auto";
    tmp_proc->typ=PROC_CMD;
    tmp_proc->data.pinf=(procinfo *)u->Data();
    tmp_proc->ref=1;
    d=u->data; u->data=(void *)tmp_proc;
    e=u->e; u->e=NULL;
    t=TRUE;
    typ=u->rtyp; u->rtyp=IDHDL;
  }
  BOOLEAN sl;
  if (u->req_packhdl==currPack)
    sl = iiMake_proc((idhdl)u->data,NULL,v);
  else
    sl = iiMake_proc((idhdl)u->data,u->req_packhdl,v);
  if (t)
  {
    u->rtyp=typ;
    u->data=d;
    u->e=e;
    omFreeSize(tmp_proc,sizeof(idrec));
  }
  if (sl) return TRUE;
  memcpy(res,&iiRETURNEXPR,sizeof(sleftv));
  iiRETURNEXPR.Init();
  return FALSE;
}
static BOOLEAN jjMAP(leftv res, leftv u, leftv v)
{
  //Print("try to map %s with %s\n",$3.Name(),$1.Name());
  leftv sl=NULL;
  if ((v->e==NULL)&&(v->name!=NULL))
  {
    map m=(map)u->Data();
    sl=iiMap(m,v->name);
  }
  else
  {
    Werror("%s(<name>) expected",u->Name());
  }
  if (sl==NULL) return TRUE;
  memcpy(res,sl,sizeof(sleftv));
  omFreeBin((ADDRESS)sl, sleftv_bin);
  return FALSE;
}
static BOOLEAN jjRING_1(leftv res, leftv u, leftv v)
{
  u->next=(leftv)omAlloc(sizeof(sleftv));
  memcpy(u->next,v,sizeof(sleftv));
  memset(v,0,sizeof(sleftv));
  BOOLEAN bo=iiExprArithM(res,u,'[');
  u->next=NULL;
  return bo;
}
static BOOLEAN jjCHINREM_BI(leftv res, leftv u, leftv v)
{
  intvec *c=(intvec*)u->Data();
  intvec* p=(intvec*)v->Data();
  int rl=p->length();
  number *x=(number *)omAlloc(rl*sizeof(number));
  number *q=(number *)omAlloc(rl*sizeof(number));
  int i;
  for(i=rl-1;i>=0;i--)
  {
    q[i]=n_Init((*p)[i], coeffs_BIGINT);
    x[i]=n_Init((*c)[i], coeffs_BIGINT);
  }
  CFArray iv(rl);
  number n=n_ChineseRemainderSym(x,q,rl,FALSE,iv,coeffs_BIGINT);
  for(i=rl-1;i>=0;i--)
  {
    n_Delete(&(q[i]),coeffs_BIGINT);
    n_Delete(&(x[i]),coeffs_BIGINT);
  }
  omFree(x); omFree(q);
  res->data=(char *)n;
  return FALSE;
}
#if 0
static BOOLEAN jjCHINREM_P(leftv res, leftv u, leftv v)
{
  lists c=(lists)u->CopyD(); // list of poly
  intvec* p=(intvec*)v->Data();
  int rl=p->length();
  poly r=NULL,h, result=NULL;
  number *x=(number *)omAlloc(rl*sizeof(number));
  number *q=(number *)omAlloc(rl*sizeof(number));
  int i;
  for(i=rl-1;i>=0;i--)
  {
    q[i]=nlInit((*p)[i]);
  }
  loop
  {
    for(i=rl-1;i>=0;i--)
    {
      if (c->m[i].Typ()!=POLY_CMD)
      {
        Werror("poly expected at pos %d",i+1);
        for(i=rl-1;i>=0;i--)
        {
          nlDelete(&(q[i]),currRing);
        }
        omFree(x); omFree(q); // delete c
        return TRUE;
      }
      h=((poly)c->m[i].Data());
      if (r==NULL) r=h;
      else if (pLmCmp(r,h)==-1) r=h;
    }
    if (r==NULL) break;
    for(i=rl-1;i>=0;i--)
    {
      h=((poly)c->m[i].Data());
      if (pLmCmp(r,h)==0)
      {
        x[i]=pGetCoeff(h);
        h=pLmFreeAndNext(h);
        c->m[i].data=(char*)h;
      }
      else
        x[i]=nlInit(0);
    }
    number n=n_ChineseRemainder(x,q,rl,currRing->cf);
    for(i=rl-1;i>=0;i--)
    {
      nlDelete(&(x[i]),currRing);
    }
    h=pHead(r);
    pSetCoeff(h,n);
    result=pAdd(result,h);
  }
  for(i=rl-1;i>=0;i--)
  {
    nlDelete(&(q[i]),currRing);
  }
  omFree(x); omFree(q);
  res->data=(char *)result;
  return FALSE;
}
#endif
static BOOLEAN jjALIGN_V(leftv res, leftv u, leftv v)
{
  poly p=(poly)u->CopyD();
  int s=(int)(long)v->Data();
  if (s+p_MinComp(p,currRing)<=0)
  { p_Delete(&p,currRing);return TRUE;}
  p_Shift(&p,s,currRing);
  res->data=p;
  return FALSE;
}
static BOOLEAN jjALIGN_M(leftv res, leftv u, leftv v)
{
  ideal M=(ideal)u->CopyD();
  int s=(int)(long)v->Data();
  for(int i=IDELEMS(M)-1; i>=0;i--)
  {
    if (s+p_MinComp(M->m[i],currRing)<=0)
    { id_Delete(&M,currRing);return TRUE;}
  }
  id_Shift(M,s,currRing);
  res->data=M;
  return FALSE;
}
static BOOLEAN jjCHINREM_ID(leftv res, leftv u, leftv v);
static BOOLEAN jjCOEF(leftv res, leftv u, leftv v)
{
  poly p=(poly)v->Data();
  if ((p==NULL)||(pNext(p)!=NULL)) return TRUE;
  res->data=(char *)mp_CoeffProc((poly)u->Data(),p /*(poly)v->Data()*/,currRing);
  return FALSE;
}
static BOOLEAN jjCOEF_Id(leftv res, leftv u, leftv v)
{
  poly p=(poly)v->Data();
  if ((p==NULL)||(pNext(p)!=NULL)) return TRUE;
  res->data=(char *)mp_CoeffProcId((ideal)u->Data(),p /*(poly)v->Data()*/,currRing);
  return FALSE;
}
static BOOLEAN jjCOEFFS_Id(leftv res, leftv u, leftv v)
{
  int i=pVar((poly)v->Data());
  if (i==0)
  {
    WerrorS("ringvar expected");
    return TRUE;
  }
  res->data=(char *)mp_Coeffs((ideal)u->CopyD(),i,currRing);
  return FALSE;
}
static BOOLEAN jjCOEFFS2_KB(leftv res, leftv u, leftv v)
{
  poly p = pInit();
  int i;
  for (i=1; i<=currRing->N; i++)
  {
    pSetExp(p, i, 1);
  }
  pSetm(p);
  res->data = (void*)idCoeffOfKBase((ideal)(u->Data()),
                                    (ideal)(v->Data()), p);
  pLmFree(&p);
  return FALSE;
}
static BOOLEAN jjCONTRACT(leftv res, leftv u, leftv v)
{
  res->data=(char *)idDiffOp((ideal)u->Data(),(ideal)v->Data(),FALSE);
  return FALSE;
}
static BOOLEAN jjDEG_M_IV(leftv res, leftv u, leftv v)
{
  short *iv=iv2array((intvec *)v->Data(),currRing);
  ideal I=(ideal)u->Data();
  int d=-1;
  int i;
  for(i=IDELEMS(I);i>=0;i--) d=si_max(d,(int)p_DegW(I->m[i],iv,currRing));
  omFreeSize( (ADDRESS)iv, (rVar(currRing)+1)*sizeof(short) );
  res->data = (char *)((long)d);
  return FALSE;
}
static BOOLEAN jjDEG_IV(leftv res, leftv u, leftv v)
{
  poly p=(poly)u->Data();
  if (p!=NULL)
  {
    short *iv=iv2array((intvec *)v->Data(),currRing);
    const long d = p_DegW(p,iv,currRing);
    omFreeSize( (ADDRESS)iv, (rVar(currRing)+1)*sizeof(short) );
    res->data = (char *)(d);
  }
  else
    res->data=(char *)(long)(-1);
  return FALSE;
}
static BOOLEAN jjDelete_IV(leftv res, leftv u, leftv v)
{
  int pos=(int)(long)v->Data();
  intvec *iv=(intvec*)u->Data();
  res->data=(void*)iv->delete_pos(pos-1);
  return res->data==NULL;
}
static BOOLEAN jjDelete_ID(leftv res, leftv u, leftv v)
{
  int pos=(int)(long)v->Data();
  ideal I=(ideal)u->Data();
  res->data=(void*)id_Delete_Pos(I,pos-1,currRing);
  return res->data==NULL;
}
static BOOLEAN jjDET2(leftv res, leftv u, leftv v)
{
  matrix m=(matrix)u->Data();
  DetVariant d=mp_GetAlgorithmDet((char*)v->Data());
  res ->data = mp_Det(m,currRing,d);
  return FALSE;
}
static BOOLEAN jjDET2_S(leftv res, leftv u, leftv v)
{
  DetVariant d=mp_GetAlgorithmDet((char*)v->Data());
  ideal m=(ideal)u->Data();
  res ->data = sm_Det(m,currRing,d);
  return FALSE;
}
static BOOLEAN jjDIFF_P(leftv res, leftv u, leftv v)
{
  int i=pVar((poly)v->Data());
  if (i==0)
  {
    WerrorS("ringvar expected");
    return TRUE;
  }
  res->data=(char *)pDiff((poly)(u->Data()),i);
  return FALSE;
}
static BOOLEAN jjDIFF_ID(leftv res, leftv u, leftv v)
{
  int i=pVar((poly)v->Data());
  if (i==0)
  {
    WerrorS("ringvar expected");
    return TRUE;
  }
  res->data=(char *)idDiff((matrix)(u->Data()),i);
  return FALSE;
}
static BOOLEAN jjDIFF_ID_ID(leftv res, leftv u, leftv v)
{
  res->data=(char *)idDiffOp((ideal)u->Data(),(ideal)v->Data());
  return FALSE;
}
static BOOLEAN jjDIM2(leftv res, leftv v, leftv w)
{
  assumeStdFlag(v);
  if (rHasMixedOrdering(currRing))
  {
     Warn("dim(%s,...) may be wrong because the mixed monomial ordering",v->Name());
  }
#ifdef HAVE_RINGS
  if (rField_is_Ring(currRing))
  {
    ideal vid = (ideal)v->Data();
    int i = idPosConstant(vid);
    if ((i != -1) && (n_IsUnit(pGetCoeff(vid->m[i]),currRing->cf)))
    { /* ideal v contains unit; dim = -1 */
      res->data = (char *)-1;
      return FALSE;
    }
    ideal vv = id_Copy(vid, currRing);
    ideal ww = id_Copy((ideal)w->Data(), currRing);
    /* drop degree zero generator from vv (if any) */
    if (i != -1) pDelete(&vv->m[i]);
    long d = (long)scDimInt(vv, ww);
    if (rField_is_Z(currRing) && (i == -1)) d++;
    res->data = (char *)d;
    idDelete(&vv); idDelete(&ww);
    return FALSE;
  }
#endif
  if(currRing->qideal==NULL)
    res->data = (char *)((long)scDimInt((ideal)(v->Data()),(ideal)w->Data()));
  else
  {
    ideal q=idSimpleAdd(currRing->qideal,(ideal)w->Data());
    res->data = (char *)((long)scDimInt((ideal)(v->Data()),q));
    idDelete(&q);
  }
  return FALSE;
}
static BOOLEAN jjDIVISION(leftv res, leftv u, leftv v)
{
  ideal vi=(ideal)v->Data();
  int vl= IDELEMS(vi);
  ideal ui=(ideal)u->Data();
  unsigned ul= IDELEMS(ui);
  ideal R; matrix U;
  ideal m = idLift(vi,ui,&R, FALSE,hasFlag(v,FLAG_STD),TRUE,&U);
  if (m==NULL) return TRUE;
  // now make sure that all matrices have the corect size:
  matrix T = id_Module2formatedMatrix(m,vl,ul,currRing);
  int i;
  if (MATCOLS(U) != (int)ul)
  {
    unsigned mul=si_min(ul,MATCOLS(U));
    matrix UU=mpNew(ul,ul);
    unsigned j;
    for(i=mul;i>0;i--)
    {
      for(j=mul;j>0;j--)
      {
        MATELEM(UU,i,j)=MATELEM(U,i,j);
        MATELEM(U,i,j)=NULL;
      }
    }
    idDelete((ideal *)&U);
    U=UU;
  }
  // make sure that U is a diagonal matrix of units
  for(i=ul;i>0;i--)
  {
    if(MATELEM(U,i,i)==NULL) MATELEM(U,i,i)=pOne();
  }
  lists L=(lists)omAllocBin(slists_bin);
  L->Init(3);
  L->m[0].rtyp=MATRIX_CMD;   L->m[0].data=(void *)T;
  L->m[1].rtyp=u->Typ();     L->m[1].data=(void *)R;
  L->m[2].rtyp=MATRIX_CMD;   L->m[2].data=(void *)U;
  res->data=(char *)L;
  return FALSE;
}
static BOOLEAN jjELIMIN(leftv res, leftv u, leftv v)
{
  res->data=(char *)idElimination((ideal)u->Data(),(poly)v->Data());
  //setFlag(res,FLAG_STD);
  return v->next!=NULL; //do not allow next like in eliminate(I,a(1..4))
}
static BOOLEAN jjELIMIN_IV(leftv res, leftv u, leftv v)
{
  poly p=pOne();
  intvec *iv=(intvec*)v->Data();
  for(int i=iv->length()-1; i>=0; i--)
  {
    pSetExp(p,(*iv)[i],1);
  }
  pSetm(p);
  res->data=(char *)idElimination((ideal)u->Data(),p);
  pLmDelete(&p);
  //setFlag(res,FLAG_STD);
  return FALSE;
}
static BOOLEAN jjEXPORTTO(leftv, leftv u, leftv v)
{
  //Print("exportto %s -> %s\n",v->Name(),u->Name() );
  return iiExport(v,0,IDPACKAGE((idhdl)u->data));
}
static BOOLEAN jjERROR(leftv, leftv u)
{
  WerrorS((char *)u->Data());
  EXTERN_VAR int inerror;
  inerror=3;
  return TRUE;
}
static BOOLEAN jjEXTGCD_BI(leftv res, leftv u, leftv v)
{
  number uu=(number)u->Data();number vv=(number)v->Data();
  lists L=(lists)omAllocBin(slists_bin);
  number a,b;
  number p0=n_ExtGcd(uu,vv,&a,&b,coeffs_BIGINT);
  L->Init(3);
  L->m[0].rtyp=BIGINT_CMD;   L->m[0].data=(void *)p0;
  L->m[1].rtyp=BIGINT_CMD;   L->m[1].data=(void *)a;
  L->m[2].rtyp=BIGINT_CMD;   L->m[2].data=(void *)b;
  res->rtyp=LIST_CMD;
  res->data=(char *)L;
  return FALSE;
}
static BOOLEAN jjEXTGCD_I(leftv res, leftv u, leftv v)
{
  int uu=(int)(long)u->Data();int vv=(int)(long)v->Data();
  int p0=ABS(uu),p1=ABS(vv);
  int f0 = 1, f1 = 0, g0 = 0, g1 = 1, q, r;

  while ( p1!=0 )
  {
    q=p0 / p1;
    r=p0 % p1;
    p0 = p1; p1 = r;
    r = g0 - g1 * q;
    g0 = g1; g1 = r;
    r = f0 - f1 * q;
    f0 = f1; f1 = r;
  }
  int a = f0;
  int b = g0;
  if ( uu /*(int)(long)u->Data()*/ < 0 ) a=-a;
  if ( vv /*(int)(long)v->Data()*/ < 0 ) b=-b;
  lists L=(lists)omAllocBin(slists_bin);
  L->Init(3);
  L->m[0].rtyp=INT_CMD;   L->m[0].data=(void *)(long)p0;
  L->m[1].rtyp=INT_CMD;   L->m[1].data=(void *)(long)a;
  L->m[2].rtyp=INT_CMD;   L->m[2].data=(void *)(long)b;
  res->rtyp=LIST_CMD;
  res->data=(char *)L;
  return FALSE;
}
static BOOLEAN jjEXTGCD_P(leftv res, leftv u, leftv v)
{
  poly r,pa,pb;
  BOOLEAN ret=singclap_extgcd((poly)u->Data(),(poly)v->Data(),r,pa,pb,currRing);
  if (ret) return TRUE;
  lists L=(lists)omAllocBin(slists_bin);
  L->Init(3);
  res->data=(char *)L;
  L->m[0].data=(void *)r;
  L->m[0].rtyp=POLY_CMD;
  L->m[1].data=(void *)pa;
  L->m[1].rtyp=POLY_CMD;
  L->m[2].data=(void *)pb;
  L->m[2].rtyp=POLY_CMD;
  return FALSE;
}
EXTERN_VAR int singclap_factorize_retry;
static BOOLEAN jjFAC_P2(leftv res, leftv u,leftv dummy)
{
  intvec *v=NULL;
  int sw=(int)(long)dummy->Data();
  int fac_sw=sw;
  if ((sw<0)||(sw>2)) fac_sw=1;
  singclap_factorize_retry=0;
  ideal f=singclap_factorize((poly)(u->CopyD()), &v, fac_sw,currRing);
  if (f==NULL)
    return TRUE;
  switch(sw)
  {
    case 0:
    case 2:
    {
      lists l=(lists)omAllocBin(slists_bin);
      l->Init(2);
      l->m[0].rtyp=IDEAL_CMD;
      l->m[0].data=(void *)f;
      l->m[1].rtyp=INTVEC_CMD;
      l->m[1].data=(void *)v;
      res->data=(void *)l;
      res->rtyp=LIST_CMD;
      return FALSE;
    }
    case 1:
      res->data=(void *)f;
      return FALSE;
    case 3:
      {
        poly p=f->m[0];
        int i=IDELEMS(f);
        f->m[0]=NULL;
        while(i>1)
        {
          i--;
          p=pMult(p,f->m[i]);
          f->m[i]=NULL;
        }
        res->data=(void *)p;
        res->rtyp=POLY_CMD;
      }
      return FALSE;
  }
  WerrorS("invalid switch");
  return TRUE;
}
static BOOLEAN jjFACSTD2(leftv res, leftv v, leftv w)
{
  ideal_list p,h;
  h=kStdfac((ideal)v->Data(),NULL,testHomog,NULL,(ideal)w->Data());
  p=h;
  int l=0;
  while (p!=NULL) { p=p->next;l++; }
  lists L=(lists)omAllocBin(slists_bin);
  L->Init(l);
  l=0;
  while(h!=NULL)
  {
    L->m[l].data=(char *)h->d;
    L->m[l].rtyp=IDEAL_CMD;
    p=h->next;
    omFreeSize(h,sizeof(*h));
    h=p;
    l++;
  }
  res->data=(void *)L;
  return FALSE;
}
static BOOLEAN jjFAREY_BI(leftv res, leftv u, leftv v)
{
  if (rField_is_Q(currRing))
  {
    number uu=(number)u->Data();
    number vv=(number)v->Data();
    res->data=(char *)n_Farey(uu,vv,currRing->cf);
    return FALSE;
  }
  else return TRUE;
}
static BOOLEAN jjFAREY_ID(leftv res, leftv u, leftv v)
{
  ideal uu=(ideal)u->Data();
  number vv=(number)v->Data();
  //timespec buf1,buf2;
  //clock_gettime(CLOCK_THREAD_CPUTIME_ID,&buf1);
  res->data=(void*)id_Farey(uu,vv,currRing);
  //clock_gettime(CLOCK_THREAD_CPUTIME_ID,&buf2);
  //const unsigned long SEC = 1000L*1000L*1000L;
  //all_farey+=((buf2.tv_sec-buf1.tv_sec)*SEC+
  //                              buf2.tv_nsec-buf1.tv_nsec);
  //farey_cnt++;
  return FALSE;
}
static BOOLEAN jjFAREY_LI(leftv res, leftv u, leftv v);
static BOOLEAN jjFETCH(leftv res, leftv u, leftv v)
{
  ring r=(ring)u->Data();
  idhdl w;
  int op=iiOp;
  nMapFunc nMap;

  if ((w=r->idroot->get(v->Name(),myynest))!=NULL)
  {
    int *perm=NULL;
    int *par_perm=NULL;
    int par_perm_size=0;
    BOOLEAN bo;
    if ((nMap=n_SetMap(r->cf,currRing->cf))==NULL)
    {
      // Allow imap/fetch to be make an exception only for:
      if (nCoeff_is_Extension(r->cf) &&  // Q(a..) -> Q(a..) || Q || Zp || Zp(a)
         ((n_SetMap(r->cf->extRing->cf,currRing->cf)!=NULL)
         || (nCoeff_is_Extension(currRing->cf) && (n_SetMap(r->cf->extRing->cf,currRing->cf->extRing->cf)!=NULL))))
      {
        par_perm_size=rPar(r);
      }
      else
      {
        goto err_fetch;
      }
    }
    if ((iiOp!=FETCH_CMD) || (r->N!=currRing->N) || (rPar(r)!=rPar(currRing)))
    {
      perm=(int *)omAlloc0((r->N+1)*sizeof(int));
      if (par_perm_size!=0)
        par_perm=(int *)omAlloc0(par_perm_size*sizeof(int));
      op=IMAP_CMD;
      if (iiOp==IMAP_CMD)
      {
        int r_par=0;
        char ** r_par_names=NULL;
        if (r->cf->extRing!=NULL)
        {
          r_par=r->cf->extRing->N;
          r_par_names=r->cf->extRing->names;
        }
        int c_par=0;
        char ** c_par_names=NULL;
        if (currRing->cf->extRing!=NULL)
        {
          c_par=currRing->cf->extRing->N;
          c_par_names=currRing->cf->extRing->names;
        }
        if (!rIsLPRing(r))
        {
          maFindPerm(r->names,       r->N,       r_par_names, r_par,
                     currRing->names,currRing->N,c_par_names, c_par,
                     perm,par_perm, currRing->cf->type);
        }
        #ifdef HAVE_SHIFTBBA
        else
        {
          maFindPermLP(r->names,       r->N,       r_par_names, r_par,
                     currRing->names,currRing->N,c_par_names, c_par,
                     perm,par_perm, currRing->cf->type,r->isLPring);
        }
        #endif
      }
      else
      {
        unsigned i;
        if (par_perm_size!=0)
          for(i=si_min(rPar(r),rPar(currRing));i>0;i--) par_perm[i-1]=-i;
        for(i=si_min(r->N,currRing->N);i>0;i--) perm[i]=i;
      }
    }
    if ((iiOp==FETCH_CMD) &&(BVERBOSE(V_IMAP)))
    {
      unsigned i;
      for(i=0;i<(unsigned)si_min(r->N,currRing->N);i++)
      {
        Print("// var nr %d: %s -> %s\n",i,r->names[i],currRing->names[i]);
      }
      for(i=0;i<(unsigned)si_min(rPar(r),rPar(currRing));i++) // possibly empty loop
      {
        Print("// par nr %d: %s -> %s\n",
              i,rParameter(r)[i],rParameter(currRing)[i]);
      }
    }
    if (IDTYP(w)==ALIAS_CMD) w=(idhdl)IDDATA(w);
    sleftv tmpW;
    memset(&tmpW,0,sizeof(sleftv));
    tmpW.rtyp=IDTYP(w);
    tmpW.data=IDDATA(w);
    if ((bo=maApplyFetch(op,NULL,res,&tmpW, r,
                         perm,par_perm,par_perm_size,nMap)))
    {
      Werror("cannot map %s of type %s(%d)",v->name, Tok2Cmdname(w->typ),w->typ);
    }
    if (perm!=NULL)
      omFreeSize((ADDRESS)perm,(r->N+1)*sizeof(int));
    if (par_perm!=NULL)
      omFreeSize((ADDRESS)par_perm,par_perm_size*sizeof(int));
    return bo;
  }
  else
  {
    Werror("identifier %s not found in %s",v->Fullname(),u->Fullname());
  }
  return TRUE;
err_fetch:
  char *s1=nCoeffString(r->cf);
  char *s2=nCoeffString(currRing->cf);
  Werror("no identity map from %s (%s -> %s)",u->Fullname(),s1,s2);
  omFree(s2); omFree(s1);
  return TRUE;
}
static BOOLEAN jjFIND2(leftv res, leftv u, leftv v)
{
  /*4
  * look for the substring what in the string where
  * return the position of the first char of what in where
  * or 0
  */
  char *where=(char *)u->Data();
  char *what=(char *)v->Data();
  char *found = strstr(where,what);
  if (found != NULL)
  {
    res->data=(char *)((found-where)+1);
  }
  /*else res->data=NULL;*/
  return FALSE;
}

static BOOLEAN jjFRES3(leftv res, leftv u, leftv v, leftv w)
{
  assumeStdFlag(u);
  ideal id = (ideal)u->Data();
  int max_length = (int)(long)v->Data();
  if (max_length < 0)
  {
    WerrorS("length for fres must not be negative");
    return TRUE;
  }
  if (max_length == 0)
  {
    max_length = currRing->N+1;
    if (currRing->qideal != NULL)
    {
      Warn("full resolution in a qring may be infinite, "
           "setting max length to %d", max_length);
    }
  }
  char *method = (char *)w->Data();
  /* For the moment, only "complete" (default), "frame", or "extended frame"
   * are allowed. Another useful option would be "linear strand".
   */
  if (strcmp(method, "complete") != 0
  && strcmp(method, "frame") != 0
  && strcmp(method, "extended frame") != 0
  && strcmp(method, "single module") != 0)
  {
    WerrorS("wrong optional argument for fres");
    return TRUE;
  }
  syStrategy r = syFrank(id, max_length, method);
  assume(r->fullres != NULL);
  res->data = (void *)r;
  return FALSE;
}

static BOOLEAN jjFRES(leftv res, leftv u, leftv v)
{
    leftv w = (leftv)omAlloc0(sizeof(sleftv));
    w->rtyp = STRING_CMD;
    w->data = (char *)"complete";   // default
    BOOLEAN RES = jjFRES3(res, u, v, w);
    omFree(w);
    return RES;
}

static BOOLEAN jjFWALK(leftv res, leftv u, leftv v)
{
  res->data=(char *)fractalWalkProc(u,v);
  setFlag( res, FLAG_STD );
  return FALSE;
}
static BOOLEAN jjGCD_I(leftv res, leftv u, leftv v)
{
  int uu=(int)(long)u->Data();int vv=(int)(long)v->Data();
  int p0=ABS(uu),p1=ABS(vv);
  int r;
  while ( p1!=0 )
  {
    r=p0 % p1;
    p0 = p1; p1 = r;
  }
  res->rtyp=INT_CMD;
  res->data=(char *)(long)p0;
  return FALSE;
}
static BOOLEAN jjGCD_BI(leftv res, leftv u, leftv v)
{
  number n1 = (number) u->Data();
  number n2 = (number) v->Data();
  res->data = n_Gcd(n1,n2,coeffs_BIGINT);
  return FALSE;
}
static BOOLEAN jjGCD_N(leftv res, leftv u, leftv v)
{
  number a=(number) u->Data();
  number b=(number) v->Data();
  if (nIsZero(a))
  {
    if (nIsZero(b)) res->data=(char *)nInit(1);
    else            res->data=(char *)nCopy(b);
  }
  else
  {
    if (nIsZero(b))  res->data=(char *)nCopy(a);
    //else res->data=(char *)n_Gcd(a, b, currRing->cf);
    else res->data=(char *)n_SubringGcd(a, b, currRing->cf);
  }
  return FALSE;
}
static BOOLEAN jjGCD_P(leftv res, leftv u, leftv v)
{
  res->data=(void *)singclap_gcd((poly)(u->CopyD(POLY_CMD)),
                                 (poly)(v->CopyD(POLY_CMD)),currRing);
  return FALSE;
}
static BOOLEAN jjHILBERT2(leftv res, leftv u, leftv v)
{
#ifdef HAVE_RINGS
  if (rField_is_Z(currRing))
  {
    PrintS("// NOTE: computation of Hilbert series etc. is being\n");
    PrintS("//       performed for generic fibre, that is, over Q\n");
  }
#endif
  assumeStdFlag(u);
  intvec *module_w=(intvec*)atGet(u,"isHomog",INTVEC_CMD);
  intvec *iv=hFirstSeries((ideal)u->Data(),module_w,currRing->qideal);
  if (errorreported) return TRUE;

  switch((int)(long)v->Data())
  {
    case 1:
      res->data=(void *)iv;
      return FALSE;
    case 2:
      res->data=(void *)hSecondSeries(iv);
      delete iv;
      return FALSE;
  }
  delete iv;
  WerrorS(feNotImplemented);
  return TRUE;
}
static BOOLEAN jjHOMOG_P(leftv res, leftv u, leftv v)
{
  int i=pVar((poly)v->Data());
  if (i==0)
  {
    WerrorS("ringvar expected");
    return TRUE;
  }
  poly p=pOne(); pSetExp(p,i,1); pSetm(p);
  int d=pWTotaldegree(p);
  pLmDelete(p);
  if (d==1)
    res->data = (char *)p_Homogen((poly)u->Data(), i, currRing);
  else
    WerrorS("variable must have weight 1");
  return (d!=1);
}
static BOOLEAN jjHOMOG_ID(leftv res, leftv u, leftv v)
{
  int i=pVar((poly)v->Data());
  if (i==0)
  {
    WerrorS("ringvar expected");
    return TRUE;
  }
  pFDegProc deg;
  if (currRing->pLexOrder && (currRing->order[0]==ringorder_lp))
    deg=p_Totaldegree;
   else
    deg=currRing->pFDeg;
  poly p=pOne(); pSetExp(p,i,1); pSetm(p);
  int d=deg(p,currRing);
  pLmDelete(p);
  if (d==1)
    res->data = (char *)id_Homogen((ideal)u->Data(), i, currRing);
  else
    WerrorS("variable must have weight 1");
  return (d!=1);
}
static BOOLEAN jjHOMOG1_W(leftv res, leftv v, leftv u)
{
  intvec *w=new intvec(rVar(currRing));
  intvec *vw=(intvec*)u->Data();
  ideal v_id=(ideal)v->Data();
  pFDegProc save_FDeg=currRing->pFDeg;
  pLDegProc save_LDeg=currRing->pLDeg;
  BOOLEAN save_pLexOrder=currRing->pLexOrder;
  currRing->pLexOrder=FALSE;
  kHomW=vw;
  kModW=w;
  pSetDegProcs(currRing,kHomModDeg);
  res->data=(void *)(long)idHomModule(v_id,currRing->qideal,&w);
  currRing->pLexOrder=save_pLexOrder;
  kHomW=NULL;
  kModW=NULL;
  pRestoreDegProcs(currRing,save_FDeg,save_LDeg);
  if (w!=NULL) delete w;
  return FALSE;
}
static BOOLEAN jjINDEPSET2(leftv res, leftv u, leftv v)
{
  assumeStdFlag(u);
  res->data=(void *)scIndIndset((ideal)(u->Data()),(int)(long)(v->Data()),
                    currRing->qideal);
  return FALSE;
}
static BOOLEAN jjINTERSECT(leftv res, leftv u, leftv v)
{
  res->data=(char *)idSect((ideal)u->Data(),(ideal)v->Data());
  if (TEST_OPT_RETURN_SB) setFlag(res,FLAG_STD);
  return FALSE;
}
static BOOLEAN jjINTERPOLATION (leftv res, leftv l, leftv v)
{
  const lists L = (lists)l->Data();
  const int n = L->nr; assume (n >= 0);
  std::vector<ideal> V(n + 1);

  for(int i = n; i >= 0; i--) V[i] = (ideal)(L->m[i].Data());

  res->data=interpolation(V, (intvec*)v->Data());
  setFlag(res,FLAG_STD);
  return errorreported;
}
static BOOLEAN jjJanetBasis2(leftv res, leftv u, leftv v)
{
  extern BOOLEAN jjStdJanetBasis(leftv res, leftv v,int flag);
  return jjStdJanetBasis(res,u,(int)(long)v->Data());
}

static BOOLEAN jjJanetBasis(leftv res, leftv v)
{
  extern BOOLEAN jjStdJanetBasis(leftv res, leftv v,int flag);
  return jjStdJanetBasis(res,v,0);
}
static BOOLEAN jjJET_P(leftv res, leftv u, leftv v)
{
  res->data = (char *)pJet((poly)u->CopyD(), (int)(long)v->Data());
  return FALSE;
}
static BOOLEAN jjJET_ID(leftv res, leftv u, leftv v)
{
  res->data = (char *)id_Jet((ideal)u->Data(),(int)(long)v->Data(),currRing);
  return FALSE;
}
static BOOLEAN jjKBASE2(leftv res, leftv u, leftv v)
{
  assumeStdFlag(u);
  intvec *w_u=(intvec *)atGet(u,"isHomog",INTVEC_CMD);
  res->data = (char *)scKBase((int)(long)v->Data(),
                              (ideal)(u->Data()),currRing->qideal, w_u);
  if (w_u!=NULL)
  {
    atSet(res,omStrDup("isHomog"),ivCopy(w_u),INTVEC_CMD);
  }
  return FALSE;
}
static BOOLEAN jjPREIMAGE(leftv res, leftv u, leftv v, leftv w);
static BOOLEAN jjKERNEL(leftv res, leftv u, leftv v)
{
  return jjPREIMAGE(res,u,v,NULL);
}
static BOOLEAN jjKoszul(leftv res, leftv u, leftv v)
{
  return mpKoszul(res, u,v,NULL);
}
static BOOLEAN jjKoszul_Id(leftv res, leftv u, leftv v)
{
  sleftv h;
  memset(&h,0,sizeof(sleftv));
  h.rtyp=INT_CMD;
  h.data=(void *)(long)IDELEMS((ideal)v->Data());
  return mpKoszul(res, u, &h, v);
}
static BOOLEAN jjLIFT(leftv res, leftv u, leftv v)
{
  int ul= IDELEMS((ideal)u->Data());
  int vl= IDELEMS((ideal)v->Data());
  ideal m = idLift((ideal)u->Data(),(ideal)v->Data(),NULL,FALSE,
                   hasFlag(u,FLAG_STD));
  if (m==NULL) return TRUE;
  res->data = (char *)id_Module2formatedMatrix(m,ul,vl,currRing);
  return FALSE;
}
static BOOLEAN jjLIFTSTD(leftv res, leftv u, leftv v)
{
  if ((v->rtyp!=IDHDL)||(v->e!=NULL)) return TRUE;
  idhdl h=(idhdl)v->data;
  // CopyD for IDEAL_CMD and MODUL_CMD are identical:
  res->data = (char *)idLiftStd((ideal)u->Data(),
                                &(h->data.umatrix),testHomog);
  setFlag(res,FLAG_STD); v->flag=0;
  return FALSE;
}
static BOOLEAN jjLOAD2(leftv /*res*/, leftv/* LIB */ , leftv v)
{
  return jjLOAD((char*)v->Data(),TRUE);
}
static BOOLEAN jjLOAD_E(leftv /*res*/, leftv v, leftv u)
{
  char * s=(char *)u->Data();
  if(strcmp(s, "with")==0)
    return jjLOAD((char*)v->Data(), TRUE);
  if (strcmp(s,"try")==0)
    return jjLOAD_TRY((char*)v->Data());
  WerrorS("invalid second argument");
  WerrorS("load(\"libname\" [,option]);");
  return TRUE;
}
static BOOLEAN jjMODULO(leftv res, leftv u, leftv v)
{
  intvec *w_u=(intvec *)atGet(u,"isHomog",INTVEC_CMD);
  tHomog hom=testHomog;
  if (w_u!=NULL)
  {
    //PrintS("modulo: wu:");w_u->show(INTVEC_CMD);PrintLn();
    w_u=ivCopy(w_u);
    hom=isHomog;
  }
  //else PrintS("modulo: wu:none\n");
  intvec *w_v=(intvec *)atGet(v,"isHomog",INTVEC_CMD);
  if (w_v!=NULL)
  {
    //PrintS("modulo: wv:");w_v->show(INTVEC_CMD);PrintLn();
    w_v=ivCopy(w_v);
    hom=isHomog;
  }
  //else PrintS("modulo: wv:none\n");
  if ((w_u!=NULL) && (w_v==NULL))
    w_v=ivCopy(w_u);
  if ((w_v!=NULL) && (w_u==NULL))
    w_u=ivCopy(w_v);
  ideal u_id=(ideal)u->Data();
  ideal v_id=(ideal)v->Data();
  if (w_u!=NULL)
  {
     if ((*w_u).compare((w_v))!=0)
     {
       WarnS("incompatible weights");
       delete w_u; w_u=NULL;
       hom=testHomog;
     }
     else
     {
       if ((!idTestHomModule(u_id,currRing->qideal,w_v))
       || (!idTestHomModule(v_id,currRing->qideal,w_v)))
       {
         WarnS("wrong weights");
         delete w_u; w_u=NULL;
         hom=testHomog;
       }
     }
  }
  res->data = (char *)idModulo(u_id,v_id ,hom,&w_u);
  if (w_u!=NULL)
  {
    atSet(res,omStrDup("isHomog"),w_u,INTVEC_CMD);
  }
  delete w_v;
  //if (TEST_OPT_RETURN_SB) setFlag(res,FLAG_STD);
  return FALSE;
}
static BOOLEAN jjMOD_BI(leftv res, leftv u, leftv v)
{
  number q=(number)v->Data();
  if (n_IsZero(q,coeffs_BIGINT))
  {
    WerrorS(ii_div_by_0);
    return TRUE;
  }
  res->data =(char *) n_IntMod((number)u->Data(),q,coeffs_BIGINT);
  return FALSE;
}
static BOOLEAN jjMOD_N(leftv res, leftv u, leftv v)
{
  number q=(number)v->Data();
  if (nIsZero(q))
  {
    WerrorS(ii_div_by_0);
    return TRUE;
  }
  res->data =(char *) n_IntMod((number)u->Data(),q,currRing->cf);
  return FALSE;
}
static BOOLEAN jjMOD_P(leftv res, leftv u, leftv v)
{
  poly q=(poly)v->Data();
  if (q==NULL)
  {
    WerrorS(ii_div_by_0);
    return TRUE;
  }
  poly p=(poly)(u->Data());
  if (p==NULL)
  {
    res->data=NULL;
    return FALSE;
  }
  res->data=(void*)(singclap_pmod(p /*(poly)(u->Data())*/ ,
                                  q /*(poly)(v->Data())*/ ,currRing));
  return FALSE;
}
static BOOLEAN jjMONITOR2(leftv res, leftv u,leftv v);
static BOOLEAN jjMONITOR1(leftv res, leftv v)
{
  return jjMONITOR2(res,v,NULL);
}
static BOOLEAN jjMONITOR2(leftv, leftv u,leftv v)
{
#if 0
  char *opt=(char *)v->Data();
  int mode=0;
  while(*opt!='\0')
  {
    if (*opt=='i') mode |= SI_PROT_I;
    else if (*opt=='o') mode |= SI_PROT_O;
    opt++;
  }
  monitor((char *)(u->Data()),mode);
#else
  si_link l=(si_link)u->Data();
  if (slOpen(l,SI_LINK_WRITE,u)) return TRUE;
  if(strcmp(l->m->type,"ASCII")!=0)
  {
    Werror("ASCII link required, not `%s`",l->m->type);
    slClose(l);
    return TRUE;
  }
  SI_LINK_SET_CLOSE_P(l); // febase handles the FILE*
  if ( l->name[0]!='\0') // "" is the stop condition
  {
    const char *opt;
    int mode=0;
    if (v==NULL) opt=(const char*)"i";
    else         opt=(const char *)v->Data();
    while(*opt!='\0')
    {
      if (*opt=='i') mode |= SI_PROT_I;
      else if (*opt=='o') mode |= SI_PROT_O;
      opt++;
    }
    monitor((FILE *)l->data,mode);
  }
  else
    monitor(NULL,0);
  return FALSE;
#endif
}
static BOOLEAN jjMONOM(leftv res, leftv v)
{
  intvec *iv=(intvec *)v->Data();
  poly p=pOne();
  int e;
  BOOLEAN err=FALSE;
  for(unsigned i=si_min(currRing->N,iv->length()); i>0; i--)
  {
    e=(*iv)[i-1];
    if (e>=0) pSetExp(p,i,e);
    else err=TRUE;
  }
  if (iv->length()==(currRing->N+1))
  {
    res->rtyp=VECTOR_CMD;
    e=(*iv)[currRing->N];
    if (e>=0) pSetComp(p,e);
    else err=TRUE;
  }
  pSetm(p);
  res->data=(char*)p;
  if(err) { pDelete(&p); WerrorS("no negative exponent allowed"); }
  return err;
}
static BOOLEAN jjNEWSTRUCT2(leftv, leftv u, leftv v)
{
  // u: the name of the new type
  // v: the elements
  const char *s=(const char *)u->Data();
  newstruct_desc d=NULL;
  if (strlen(s)>=2)
  {
    d=newstructFromString((const char *)v->Data());
    if (d!=NULL) newstruct_setup(s,d);
  }
  else WerrorS("name of newstruct must be longer than 1 character");
  return d==NULL;
}
static BOOLEAN jjPARSTR2(leftv res, leftv u, leftv v)
{
  idhdl h=(idhdl)u->data;
  int i=(int)(long)v->Data();
  int p=0;
  if ((0<i)
  && (rParameter(IDRING(h))!=NULL)
  && (i<=(p=rPar(IDRING(h)))))
    res->data=omStrDup(rParameter(IDRING(h))[i-1]);
  else
  {
    Werror("par number %d out of range 1..%d",i,p);
    return TRUE;
  }
  return FALSE;
}
#ifdef HAVE_PLURAL
static BOOLEAN jjPlural_num_poly(leftv res, leftv a, leftv b)
{
  if( currRing->qideal != NULL )
  {
    WerrorS("basering must NOT be a qring!");
    return TRUE;
  }

  if (iiOp==NCALGEBRA_CMD)
  {
    return nc_CallPlural(NULL,NULL,(poly)a->Data(),(poly)b->Data(),currRing,false,true,false,currRing);
  }
  else
  {
    ring r=rCopy(currRing);
    BOOLEAN result=nc_CallPlural(NULL,NULL,(poly)a->Data(),(poly)b->Data(),r,false,true,false,currRing);
    res->data=r;
    return result;
  }
}
static BOOLEAN jjPlural_num_mat(leftv res, leftv a, leftv b)
{
  if( currRing->qideal != NULL )
  {
    WerrorS("basering must NOT be a qring!");
    return TRUE;
  }

  if (iiOp==NCALGEBRA_CMD)
  {
    return nc_CallPlural(NULL,(matrix)b->Data(),(poly)a->Data(),NULL,currRing,false,true,false,currRing);
  }
  else
  {
    ring r=rCopy(currRing);
    BOOLEAN result=nc_CallPlural(NULL,(matrix)b->Data(),(poly)a->Data(),NULL,r,false,true,false,currRing);
    res->data=r;
    return result;
  }
}
static BOOLEAN jjPlural_mat_poly(leftv res, leftv a, leftv b)
{
  if( currRing->qideal != NULL )
  {
    WerrorS("basering must NOT be a qring!");
    return TRUE;
  }

  if (iiOp==NCALGEBRA_CMD)
  {
    return nc_CallPlural((matrix)a->Data(),NULL,NULL,(poly)b->Data(),currRing,false,true,false,currRing);
  }
  else
  {
    ring r=rCopy(currRing);
    BOOLEAN result=nc_CallPlural((matrix)a->Data(),NULL,NULL,(poly)b->Data(),r,false,true,false,currRing);
    res->data=r;
    return result;
  }
}
static BOOLEAN jjPlural_mat_mat(leftv res, leftv a, leftv b)
{
  if( currRing->qideal != NULL )
  {
    WerrorS("basering must NOT be a qring!");
    return TRUE;
  }

  if (iiOp==NCALGEBRA_CMD)
  {
    return nc_CallPlural((matrix)a->Data(),(matrix)b->Data(),NULL,NULL,currRing,false,true,false,currRing);
  }
  else
  {
    ring r=rCopy(currRing);
    BOOLEAN result=nc_CallPlural((matrix)a->Data(),(matrix)b->Data(),NULL,NULL,r,false,true,false,currRing);
    res->data=r;
    return result;
  }
}
static BOOLEAN jjBRACKET(leftv res, leftv a, leftv b)
{
  res->data=NULL;

  if (rIsPluralRing(currRing) || rIsLPRing(currRing))
  {
    const poly q = (poly)b->Data();

    if( q != NULL )
    {
      if( (poly)a->Data() != NULL )
      {
        if (rIsPluralRing(currRing))
        {
          poly p = (poly)a->CopyD(POLY_CMD); // p = copy!
          res->data = nc_p_Bracket_qq(p,q, currRing); // p will be destroyed!
        }
        else if (rIsLPRing(currRing))
        {
          const poly p = (poly)a->Data();
          res->data = pAdd(ppMult_qq(p,q), pNeg(ppMult_qq(q,p)));
        }
      }
    }
  }
  return FALSE;
}
static BOOLEAN jjBRACKET_REC(leftv res, leftv a, leftv b, leftv c)
{
  res->data=NULL;

  if (rIsLPRing(currRing) || rIsPluralRing(currRing))
  {
    const poly q = (poly)b->Data();
    if(q != NULL)
    {
      if((poly)a->Data() != NULL)
      {
        const poly p = (poly)a->Data();
        int k=(int)(long)c->Data();
        if (k > 0)
        {
          poly qq = pCopy(q);
          for (int i = 0; i < k; i++)
          {
            poly qq_ref = qq;
            if (rIsLPRing(currRing))
            {
              qq = pAdd(ppMult_qq(p,qq), pNeg(ppMult_qq(qq,p)));
            }
            else if (rIsPluralRing(currRing))
            {
              qq = nc_p_Bracket_qq(pCopy(p), qq, currRing);
            }
            pDelete(&qq_ref);
            if (qq == NULL) break;
          }
          res->data = qq;
        }
        else
        {
          Werror("invalid number of iterations");
        }
      }
    }
  }
  return FALSE;
}
static BOOLEAN jjOPPOSE(leftv res, leftv a, leftv b)
{
  /* number, poly, vector, ideal, module, matrix */
  ring  r = (ring)a->Data();
  if (r == currRing)
  {
    res->data = b->Data();
    res->rtyp = b->rtyp;
    return FALSE;
  }
  if (!rIsLikeOpposite(currRing, r))
  {
    Werror("%s is not an opposite ring to current ring",a->Fullname());
    return TRUE;
  }
  idhdl w;
  if( ((w=r->idroot->get(b->Name(),myynest))!=NULL) && (b->e==NULL))
  {
    int argtype = IDTYP(w);
    switch (argtype)
    {
    case NUMBER_CMD:
      {
        /* since basefields are equal, we can apply nCopy */
        res->data = nCopy((number)IDDATA(w));
        res->rtyp = argtype;
        break;
      }
    case POLY_CMD:
    case VECTOR_CMD:
      {
        poly    q = (poly)IDDATA(w);
        res->data = pOppose(r,q,currRing);
        res->rtyp = argtype;
        break;
      }
    case IDEAL_CMD:
    case MODUL_CMD:
      {
        ideal   Q = (ideal)IDDATA(w);
        res->data = idOppose(r,Q,currRing);
        res->rtyp = argtype;
        break;
      }
    case MATRIX_CMD:
      {
        ring save = currRing;
        rChangeCurrRing(r);
        matrix  m = (matrix)IDDATA(w);
        ideal   Q = id_Matrix2Module(mp_Copy(m, currRing),currRing);
        rChangeCurrRing(save);
        ideal   S = idOppose(r,Q,currRing);
        id_Delete(&Q, r);
        res->data = id_Module2Matrix(S,currRing);
        res->rtyp = argtype;
        break;
      }
    default:
      {
        WerrorS("unsupported type in oppose");
        return TRUE;
      }
    }
  }
  else
  {
    Werror("identifier %s not found in %s",b->Fullname(),a->Fullname());
    return TRUE;
  }
  return FALSE;
}
#endif /* HAVE_PLURAL */

static BOOLEAN jjQUOT(leftv res, leftv u, leftv v)
{
  res->data = (char *)idQuot((ideal)u->Data(),(ideal)v->Data(),
    hasFlag(u,FLAG_STD),u->Typ()==v->Typ());
  id_DelMultiples((ideal)(res->data),currRing);
  if (TEST_OPT_RETURN_SB) setFlag(res,FLAG_STD);
  return FALSE;
}
static BOOLEAN jjRANDOM(leftv res, leftv u, leftv v)
{
  int i=(int)(long)u->Data();
  int j=(int)(long)v->Data();
  if (j-i <0) {WerrorS("invalid range for random"); return TRUE;}
  res->data =(char *)(long)((i > j) ? i : (siRand() % (j-i+1)) + i);
  return FALSE;
}
static BOOLEAN jjRANK2(leftv res, leftv u, leftv v)
{
  matrix m =(matrix)u->Data();
  int isRowEchelon = (int)(long)v->Data();
  if (isRowEchelon != 1) isRowEchelon = 0;
  int rank = luRank(m, isRowEchelon);
  res->data =(char *)(long)rank;
  return FALSE;
}
static BOOLEAN jjREAD2(leftv res, leftv u, leftv v)
{
  si_link l=(si_link)u->Data();
  leftv r=slRead(l,v);
  if (r==NULL)
  {
    const char *s;
    if ((l!=NULL)&&(l->name!=NULL)) s=l->name;
    else                            s=sNoName_fe;
    Werror("cannot read from `%s`",s);
    return TRUE;
  }
  memcpy(res,r,sizeof(sleftv));
  omFreeBin((ADDRESS)r, sleftv_bin);
  return FALSE;
}
static BOOLEAN jjREDUCE_P(leftv res, leftv u, leftv v)
{
  ideal vi=(ideal)v->Data();
  if (currRing->qideal!=NULL || vi->ncols>1 || rIsPluralRing(currRing))
    assumeStdFlag(v);
  res->data = (char *)kNF(vi,currRing->qideal,(poly)u->Data());
  return FALSE;
}
static BOOLEAN jjREDUCE_ID(leftv res, leftv u, leftv v)
{
  ideal ui=(ideal)u->Data();
  ideal vi=(ideal)v->Data();
  if (currRing->qideal!=NULL || vi->ncols>1 || rIsPluralRing(currRing))
    assumeStdFlag(v);
  res->data = (char *)kNF(vi,currRing->qideal,ui);
  return FALSE;
}
static BOOLEAN jjRES(leftv res, leftv u, leftv v)
{
  int maxl=(int)(long)v->Data();
  if (maxl<0)
  {
    WerrorS("length for res must not be negative");
    return TRUE;
  }
  syStrategy r;
  intvec *weights=NULL;
  int wmaxl=maxl;
  ideal u_id=(ideal)u->Data();

  maxl--;
  if (/*(*/ maxl==-1 /*)*/) /*&& (iiOp!=MRES_CMD)*/
  {
    maxl = currRing->N-1+2*(iiOp==MRES_CMD);
    if (currRing->qideal!=NULL)
    {
      Warn(
      "full resolution in a qring may be infinite, setting max length to %d",
      maxl+1);
    }
  }
  weights=(intvec*)atGet(u,"isHomog",INTVEC_CMD);
  if (weights!=NULL)
  {
    if (!idTestHomModule(u_id,currRing->qideal,weights))
    {
      WarnS("wrong weights given:");weights->show();PrintLn();
      weights=NULL;
    }
  }
  intvec *ww=NULL;
  int add_row_shift=0;
  if (weights!=NULL)
  {
     ww=ivCopy(weights);
     add_row_shift = ww->min_in();
     (*ww) -= add_row_shift;
  }
  if ((iiOp == RES_CMD) || (iiOp == MRES_CMD))
  {
    r=syResolution(u_id,maxl, ww, iiOp==MRES_CMD);
  }
  else if (iiOp==SRES_CMD)
  //  r=sySchreyerResolvente(u_id,maxl+1,&l);
    r=sySchreyer(u_id,maxl+1);
  else if (iiOp == LRES_CMD)
  {
    int dummy;
    if((currRing->qideal!=NULL)||
    (!idHomIdeal (u_id,NULL)))
    {
       WerrorS
       ("`lres` not implemented for inhomogeneous input or qring");
       return TRUE;
    }
    if(currRing->N == 1)
      WarnS("the current implementation of `lres` may not work in the case of a single variable");
    r=syLaScala3(u_id,&dummy);
  }
  else if (iiOp == KRES_CMD)
  {
    int dummy;
    if((currRing->qideal!=NULL)||
    (!idHomIdeal (u_id,NULL)))
    {
       WerrorS
       ("`kres` not implemented for inhomogeneous input or qring");
       return TRUE;
    }
    r=syKosz(u_id,&dummy);
  }
  else
  {
    int dummy;
    if((currRing->qideal!=NULL)||
    (!idHomIdeal (u_id,NULL)))
    {
       WerrorS
       ("`hres` not implemented for inhomogeneous input or qring");
       return TRUE;
    }
    ideal u_id_copy=idCopy(u_id);
    idSkipZeroes(u_id_copy);
    r=syHilb(u_id_copy,&dummy);
    idDelete(&u_id_copy);
  }
  if (r==NULL) return TRUE;
  if (r->list_length>wmaxl)
  {
    for(int i=wmaxl-1;i>=r->list_length;i--)
    {
      if (r->fullres[i]!=NULL) id_Delete(&r->fullres[i],currRing);
      if (r->minres[i]!=NULL) id_Delete(&r->minres[i],currRing);
    }
  }
  r->list_length=wmaxl;
  res->data=(void *)r;
  if ((weights!=NULL) && (ww!=NULL)) { delete ww; ww=NULL; }
  if ((r->weights!=NULL) && (r->weights[0]!=NULL))
  {
    ww=ivCopy(r->weights[0]);
    if (weights!=NULL) (*ww) += add_row_shift;
    atSet(res,omStrDup("isHomog"),ww,INTVEC_CMD);
  }
  else
  {
    if (weights!=NULL)
    {
      atSet(res,omStrDup("isHomog"),ivCopy(weights),INTVEC_CMD);
    }
  }

  // test the La Scala case' output
  assume( ((iiOp == LRES_CMD) || (iiOp == HRES_CMD)) == (r->syRing != NULL) );
  assume( (r->syRing != NULL) == (r->resPairs != NULL) );

  if(iiOp != HRES_CMD)
    assume( (r->minres != NULL) || (r->fullres != NULL) ); // is wrong for HRES_CMD...
  else
    assume( (r->orderedRes != NULL) || (r->res != NULL) ); // analog for hres...

  return FALSE;
}
static BOOLEAN jjPFAC2(leftv res, leftv u, leftv v)
{
  number n1; int i;

  if ((u->Typ() == BIGINT_CMD) ||
     ((u->Typ() == NUMBER_CMD) && rField_is_Q(currRing)))
  {
    n1 = (number)u->CopyD();
  }
  else if (u->Typ() == INT_CMD)
  {
    i = (int)(long)u->Data();
    n1 = n_Init(i, coeffs_BIGINT);
  }
  else
  {
    return TRUE;
  }

  i = (int)(long)v->Data();

  lists l = primeFactorisation(n1, i);
  n_Delete(&n1, coeffs_BIGINT);
  res->data = (char*)l;
  return FALSE;
}
static BOOLEAN jjRMINUS(leftv res, leftv u, leftv v)
{
  ring r=rMinusVar((ring)u->Data(),(char*)v->Data());
  res->data = (char *)r;
  return r==NULL;
}
static BOOLEAN jjRPLUS(leftv res, leftv u, leftv v)
{
  int left;
  if (u->Typ()==RING_CMD) left=0;
  else
  {
    leftv h=u;u=v;v=h;
    left=1;
  }
  ring r=rPlusVar((ring)u->Data(),(char*)v->Data(),left);
  res->data = (char *)r;
  return r==NULL;
}
static BOOLEAN jjRSUM(leftv res, leftv u, leftv v)
{
  ring r;
  int i=rSum((ring)u->Data(),(ring)v->Data(),r);
  res->data = (char *)r;
  return (i==-1);
}
#define SIMPL_NORMALIZE 64
#define SIMPL_LMDIV 32
#define SIMPL_LMEQ  16
#define SIMPL_MULT 8
#define SIMPL_EQU  4
#define SIMPL_NULL 2
#define SIMPL_NORM 1
static BOOLEAN jjSIMPL_ID(leftv res, leftv u, leftv v)
{
  int sw = (int)(long)v->Data();
  // CopyD for IDEAL_CMD and MODUL_CMD are identical:
  ideal id = (ideal)u->CopyD(IDEAL_CMD);
  if (sw & SIMPL_LMDIV)
  {
    id_DelDiv(id,currRing);
  }
  if (sw & SIMPL_LMEQ)
  {
    id_DelLmEquals(id,currRing);
  }
  if (sw & SIMPL_MULT)
  {
    id_DelMultiples(id,currRing);
  }
  else if(sw & SIMPL_EQU)
  {
    id_DelEquals(id,currRing);
  }
  if (sw & SIMPL_NULL)
  {
    idSkipZeroes(id);
  }
  if (sw & SIMPL_NORM)
  {
    id_Norm(id,currRing);
  }
  if (sw & SIMPL_NORMALIZE)
  {
    id_Normalize(id,currRing);
  }
  res->data = (char * )id;
  return FALSE;
}
EXTERN_VAR int singclap_factorize_retry;
static BOOLEAN jjSQR_FREE2(leftv res, leftv u, leftv dummy)
{
  intvec *v=NULL;
  int sw=(int)(long)dummy->Data();
  int fac_sw=sw;
  if (sw<0) fac_sw=1;
  singclap_factorize_retry=0;
  ideal f=singclap_sqrfree((poly)(u->CopyD()), &v, fac_sw, currRing);
  if (f==NULL)
    return TRUE;
  switch(sw)
  {
    case 0:
    case 2:
    {
      lists l=(lists)omAllocBin(slists_bin);
      l->Init(2);
      l->m[0].rtyp=IDEAL_CMD;
      l->m[0].data=(void *)f;
      l->m[1].rtyp=INTVEC_CMD;
      l->m[1].data=(void *)v;
      res->data=(void *)l;
      res->rtyp=LIST_CMD;
      return FALSE;
    }
    case 1:
      res->data=(void *)f;
      return FALSE;
    case 3:
      {
        poly p=f->m[0];
        int i=IDELEMS(f);
        f->m[0]=NULL;
        while(i>1)
        {
          i--;
          p=pMult(p,f->m[i]);
          f->m[i]=NULL;
        }
        res->data=(void *)p;
        res->rtyp=POLY_CMD;
      }
      return FALSE;
  }
  WerrorS("invalid switch");
  return FALSE;
}
static BOOLEAN jjSTATUS2(leftv res, leftv u, leftv v)
{
  res->data = omStrDup(slStatus((si_link) u->Data(), (char *) v->Data()));
  return FALSE;
}
static BOOLEAN jjSTATUS2L(leftv res, leftv u, leftv v)
{
  res->data = (void *)(long)slStatusSsiL((lists) u->Data(), (int)(long) v->Data());
  //return (res->data== (void*)(long)-2);
  return FALSE;
}
static BOOLEAN jjSIMPL_P(leftv res, leftv u, leftv v)
{
  int sw = (int)(long)v->Data();
  // CopyD for POLY_CMD and VECTOR_CMD are identical:
  poly p = (poly)u->CopyD(POLY_CMD);
  if (sw & SIMPL_NORM)
  {
    pNorm(p);
  }
  if (sw & SIMPL_NORMALIZE)
  {
    p_Normalize(p,currRing);
  }
  res->data = (char * )p;
  return FALSE;
}
static BOOLEAN jjSTD_HILB(leftv res, leftv u, leftv v)
{
  ideal result;
  intvec *w=(intvec *)atGet(u,"isHomog",INTVEC_CMD);
  tHomog hom=testHomog;
  ideal u_id=(ideal)(u->Data());
  if (w!=NULL)
  {
    if (!idTestHomModule(u_id,currRing->qideal,w))
    {
      WarnS("wrong weights:");w->show();PrintLn();
      w=NULL;
    }
    else
    {
      w=ivCopy(w);
      hom=isHomog;
    }
  }
  result=kStd(u_id,currRing->qideal,hom,&w,(intvec *)v->Data());
  idSkipZeroes(result);
  res->data = (char *)result;
  setFlag(res,FLAG_STD);
  if (w!=NULL) atSet(res,omStrDup("isHomog"),w,INTVEC_CMD);
  return FALSE;
}
static BOOLEAN jjSTD_1(leftv res, leftv u, leftv v)
{
  ideal result;
  assumeStdFlag(u);
  ideal i1=(ideal)(u->Data());
  int ii1=idElem(i1); /* size of i1 */
  ideal i0;
  int r=v->Typ();
  if ((/*v->Typ()*/r==POLY_CMD) ||(r==VECTOR_CMD))
  {
    poly p=(poly)v->Data();
    i0=idInit(1,i1->rank);
    i0->m[0]=p;
    i1=idSimpleAdd(i1,i0); //
    memset(i0->m,0,sizeof(poly)*IDELEMS(i0));
    idDelete(&i0);
    intvec *w=(intvec *)atGet(u,"isHomog",INTVEC_CMD);
    tHomog hom=testHomog;

    if (w!=NULL)
    {
      if (!idTestHomModule(i1,currRing->qideal,w))
      {
        // no warnung: this is legal, if i in std(i,p)
        // is homogeneous, but p not
        w=NULL;
      }
      else
      {
        w=ivCopy(w);
        hom=isHomog;
      }
    }
    BITSET save1;
    SI_SAVE_OPT1(save1);
    si_opt_1|=Sy_bit(OPT_SB_1);
    /* ii1 appears to be the position of the first element of il that
       does not belong to the old SB ideal */
    result=kStd(i1,currRing->qideal,hom,&w,NULL,0,ii1);
    SI_RESTORE_OPT1(save1);
    idDelete(&i1);
    idSkipZeroes(result);
    if (w!=NULL) atSet(res,omStrDup("isHomog"),w,INTVEC_CMD);
    res->data = (char *)result;
  }
  else /*IDEAL/MODULE*/
  {
    i0=(ideal)v->CopyD();
    i1=idSimpleAdd(i1,i0); //
    memset(i0->m,0,sizeof(poly)*IDELEMS(i0));
    idDelete(&i0);
    intvec *w=(intvec *)atGet(u,"isHomog",INTVEC_CMD);
    tHomog hom=testHomog;

    if (w!=NULL)
    {
      if (!idTestHomModule(i1,currRing->qideal,w))
      {
        // no warnung: this is legal, if i in std(i,p)
        // is homogeneous, but p not
        w=NULL;
        hom=isNotHomog;
      }
      else
      {
        w=ivCopy(w);
        hom=isHomog;
      }
    }
    BITSET save1;
    SI_SAVE_OPT1(save1);
    si_opt_1|=Sy_bit(OPT_SB_1);
    /* ii1 appears to be the position of the first element of i1 that
     does not belong to the old SB ideal */
    result=kStd(i1,currRing->qideal,hom,&w,NULL,0,ii1);
    SI_RESTORE_OPT1(save1);
    idDelete(&i1);
    idSkipZeroes(result);
    if (w!=NULL) atSet(res,omStrDup("isHomog"),w,INTVEC_CMD);
    res->data = (char *)result;
  }
  if(!TEST_OPT_DEGBOUND) setFlag(res,FLAG_STD);
  return FALSE;
}
static BOOLEAN jjSYZ_2(leftv res, leftv u, leftv v)
{
  // see jjSYZYGY
  intvec *ww=(intvec *)atGet(u,"isHomog",INTVEC_CMD);
  intvec *w=NULL;
  tHomog hom=testHomog;
  ideal I=(ideal)u->Data();
  GbVariant alg=syGetAlgorithm((char*)v->Data(),currRing,I);
  if (ww!=NULL)
  {
    if (idTestHomModule(I,currRing->qideal,ww))
    {
      w=ivCopy(ww);
      int add_row_shift=w->min_in();
      (*w)-=add_row_shift;
      hom=isHomog;
    }
    else
    {
      //WarnS("wrong weights");
      delete ww; ww=NULL;
      hom=testHomog;
    }
  }
  else
  {
    if (u->Typ()==IDEAL_CMD)
      if (idHomIdeal(I,currRing->qideal))
        hom=isHomog;
  }
  ideal S=idSyzygies(I,hom,&w,TRUE,FALSE,NULL,alg);
  if (w!=NULL) delete w;
  res->data = (char *)S;
  if (hom==isHomog)
  {
    int vl=S->rank;
    intvec *vv=new intvec(vl);
    if ((u->Typ()==IDEAL_CMD)||(ww==NULL))
    {
      for(int i=0;i<vl;i++)
      {
        if (I->m[i]!=NULL)
          (*vv)[i]=p_Deg(I->m[i],currRing);
      }
    }
    else
    {
      p_SetModDeg(ww, currRing);
      for(int i=0;i<vl;i++)
      {
        if (I->m[i]!=NULL)
          (*vv)[i]=currRing->pFDeg(I->m[i],currRing);
      }
      p_SetModDeg(NULL, currRing);
    }
    if (idTestHomModule(S,currRing->qideal,vv))
      atSet(res,omStrDup("isHomog"),vv,INTVEC_CMD);
    else
      delete vv;
  }
  if (TEST_OPT_RETURN_SB) setFlag(res,FLAG_STD);
  return FALSE;
}
static BOOLEAN jjTENSOR(leftv res, leftv u, leftv v)
{
  ideal A=(ideal)u->Data();
  ideal B=(ideal)v->Data();
  res->data = (char *)sm_Tensor(A,B,currRing);
  return FALSE;
}
static BOOLEAN jjTENSOR_Ma(leftv res, leftv u, leftv v)
{
  sleftv tmp_u,tmp_v,tmp_res;
  int index=iiTestConvert(MATRIX_CMD,SMATRIX_CMD,dConvertTypes);
  iiConvert(MATRIX_CMD,SMATRIX_CMD,index,u,&tmp_u,dConvertTypes);
  iiConvert(MATRIX_CMD,SMATRIX_CMD,index,v,&tmp_v,dConvertTypes);
  tmp_res.Init();
  tmp_res.rtyp=SMATRIX_CMD;
  BOOLEAN bo=jjTENSOR(&tmp_res,&tmp_u,&tmp_v);
  if (!bo)
  {
    index=iiTestConvert(SMATRIX_CMD,MATRIX_CMD,dConvertTypes);
    iiConvert(SMATRIX_CMD,MATRIX_CMD,index,&tmp_res,res,dConvertTypes);
  }
  tmp_u.CleanUp();
  tmp_v.CleanUp();
  tmp_res.CleanUp();
  return bo;
}
static BOOLEAN jjVARSTR2(leftv res, leftv u, leftv v)
{
  idhdl h=(idhdl)u->data;
  int i=(int)(long)v->Data();
  if ((0<i) && (i<=IDRING(h)->N))
    res->data=omStrDup(IDRING(h)->names[i-1]);
  else
  {
    Werror("var number %d out of range 1..%d",i,IDRING(h)->N);
    return TRUE;
  }
  return FALSE;
}
static BOOLEAN jjWAIT1ST2(leftv res, leftv u, leftv v)
{
// input: u: a list with links of type
//           ssi-fork, ssi-tcp, MPtcp-fork or MPtcp-launch
//        v: timeout for select in milliseconds
//           or 0 for polling
// returns: ERROR (via Werror): timeout negative
//           -1: the read state of all links is eof
//            0: timeout (or polling): none ready
//           i>0: (at least) L[i] is ready
  lists Lforks = (lists)u->Data();
  int t = (int)(long)v->Data();
  if(t < 0)
  {
    WerrorS("negative timeout"); return TRUE;
  }
  int i = slStatusSsiL(Lforks, t*1000);
  if(i == -2) /* error */
  {
    return TRUE;
  }
  res->data = (void*)(long)i;
  return FALSE;
}
static BOOLEAN jjWAITALL2(leftv res, leftv u, leftv v)
{
// input: u: a list with links of type
//           ssi-fork, ssi-tcp, MPtcp-fork or MPtcp-launch
//        v: timeout for select in milliseconds
//           or 0 for polling
// returns: ERROR (via Werror): timeout negative
//           -1: the read state of all links is eof
//           0: timeout (or polling): none ready
//           1: all links are ready
//              (caution: at least one is ready, but some maybe dead)
  lists Lforks = (lists)u->CopyD();
  int timeout = 1000*(int)(long)v->Data();
  if(timeout < 0)
  {
    WerrorS("negative timeout"); return TRUE;
  }
  int t = getRTimer()/TIMER_RESOLUTION;  // in seconds
  int i;
  int ret = -1;
  for(unsigned nfinished = 0; nfinished < ((unsigned)Lforks->nr)+1; nfinished++)
  {
    i = slStatusSsiL(Lforks, timeout);
    if(i > 0) /* Lforks[i] is ready */
    {
      ret = 1;
      Lforks->m[i-1].CleanUp();
      Lforks->m[i-1].rtyp=DEF_CMD;
      Lforks->m[i-1].data=NULL;
      timeout = si_max(0,timeout - 1000*(getRTimer()/TIMER_RESOLUTION - t));
    }
    else /* terminate the for loop */
    {
      if(i == -2) /* error */
      {
        return TRUE;
      }
      if(i == 0) /* timeout */
      {
        ret = 0;
      }
      break;
    }
  }
  Lforks->Clean();
  res->data = (void*)(long)ret;
  return FALSE;
}
static BOOLEAN jjWEDGE(leftv res, leftv u, leftv v)
{
  res->data = (char *)mp_Wedge((matrix)u->Data(),(int)(long)v->Data(),currRing);
  return FALSE;
}
#define jjWRONG2 (proc2)jjWRONG
#define jjWRONG3 (proc3)jjWRONG
static BOOLEAN jjWRONG(leftv, leftv)
{
  return TRUE;
}

/*=================== operations with 1 arg.: static proc =================*/
/* must be ordered: first operations for chars (infix ops),
 * then alphabetically */

static BOOLEAN jjDUMMY(leftv res, leftv u)
{
//  res->data = (char *)u->CopyD();
// also copy attributes:
  res->Copy(u);
  return FALSE;
}
static BOOLEAN jjNULL(leftv, leftv)
{
  return FALSE;
}
//static BOOLEAN jjPLUSPLUS(leftv res, leftv u)
//{
//  res->data = (char *)((int)(long)u->Data()+1);
//  return FALSE;
//}
//static BOOLEAN jjMINUSMINUS(leftv res, leftv u)
//{
//  res->data = (char *)((int)(long)u->Data()-1);
//  return FALSE;
//}
static BOOLEAN jjPLUSPLUS(leftv, leftv u)
{
  if (IDTYP((idhdl)u->data)==INT_CMD)
  {
    int i=IDINT((idhdl)u->data);
    if (iiOp==PLUSPLUS) i++;
    else                i--;
    IDDATA((idhdl)u->data)=(char *)(long)i;
    return FALSE;
  }
  return TRUE;
}
static BOOLEAN jjUMINUS_BI(leftv res, leftv u)
{
  number n=(number)u->CopyD(BIGINT_CMD);
  n=n_InpNeg(n,coeffs_BIGINT);
  res->data = (char *)n;
  return FALSE;
}
static BOOLEAN jjUMINUS_I(leftv res, leftv u)
{
  res->data = (char *)(-(long)u->Data());
  return FALSE;
}
static BOOLEAN jjUMINUS_N(leftv res, leftv u)
{
  number n=(number)u->CopyD(NUMBER_CMD);
  n=nInpNeg(n);
  res->data = (char *)n;
  return FALSE;
}
static BOOLEAN jjUMINUS_P(leftv res, leftv u)
{
  res->data = (char *)pNeg((poly)u->CopyD(POLY_CMD));
  return FALSE;
}
static BOOLEAN jjUMINUS_MA(leftv res, leftv u)
{
  poly m1=pISet(-1);
  res->data = (char *)mp_MultP((matrix)u->CopyD(MATRIX_CMD),m1,currRing);
  return FALSE;
}
static BOOLEAN jjUMINUS_IV(leftv res, leftv u)
{
  intvec *iv=(intvec *)u->CopyD(INTVEC_CMD);
  (*iv)*=(-1);
  res->data = (char *)iv;
  return FALSE;
}
static BOOLEAN jjUMINUS_BIM(leftv res, leftv u)
{
  bigintmat *bim=(bigintmat *)u->CopyD(BIGINTMAT_CMD);
  (*bim)*=(-1);
  res->data = (char *)bim;
  return FALSE;
}
// dummy for python_module.so and similiar
static BOOLEAN jjSetRing(leftv, leftv u)
{
  if (u->rtyp==IDHDL) rSetHdl((idhdl)u->data);
  else
  {
    ring r=(ring)u->Data();
    idhdl h=rFindHdl(r,NULL);
    if (h==NULL)
    {
      char name_buffer[100];
      STATIC_VAR int ending=1000000;
      ending++;
      sprintf(name_buffer, "PYTHON_RING_VAR%d",ending);
      h=enterid(name_buffer,0,RING_CMD,&IDROOT);
      IDRING(h)=r;
      r->ref++;
    }
    rSetHdl(h);
  }
  return FALSE;
}
static BOOLEAN jjPROC1(leftv res, leftv u)
{
  return jjPROC(res,u,NULL);
}
static BOOLEAN jjBAREISS(leftv res, leftv v)
{
  //matrix m=(matrix)v->Data();
  //lists l=mpBareiss(m,FALSE);
  intvec *iv;
  ideal m;
  sm_CallBareiss((ideal)v->Data(),0,0,m,&iv, currRing);
  lists l=(lists)omAllocBin(slists_bin);
  l->Init(2);
  l->m[0].rtyp=MODUL_CMD;
  l->m[1].rtyp=INTVEC_CMD;
  l->m[0].data=(void *)m;
  l->m[1].data=(void *)iv;
  res->data = (char *)l;
  return FALSE;
}
//static BOOLEAN jjBAREISS_IM(leftv res, leftv v)
//{
//  intvec *m=(intvec *)v->CopyD(INTMAT_CMD);
//  ivTriangMat(m);
//  res->data = (char *)m;
//  return FALSE;
//}
static BOOLEAN jjBAREISS_BIM(leftv res, leftv v)
{
  bigintmat *b=(bigintmat*)v->CopyD(BIGINTMAT_CMD);
  b->hnf();
  res->data=(char*)b;
  return FALSE;
}
static BOOLEAN jjBI2N(leftv res, leftv u)
{
  BOOLEAN bo=FALSE;
  number n=(number)u->CopyD();
  nMapFunc nMap=n_SetMap(coeffs_BIGINT,currRing->cf);
  if (nMap!=NULL)
    res->data=nMap(n,coeffs_BIGINT,currRing->cf);
  else
  {
    Werror("cannot convert bigint to cring %s", nCoeffName(currRing->cf));
    bo=TRUE;
  }
  n_Delete(&n,coeffs_BIGINT);
  return bo;
}
static BOOLEAN jjBI2IM(leftv res, leftv u)
{
  bigintmat *b=(bigintmat*)u->Data();
  res->data=(void *)bim2iv(b);
  return FALSE;
}
static BOOLEAN jjBI2P(leftv res, leftv u)
{
  sleftv tmp;
  BOOLEAN bo=jjBI2N(&tmp,u);
  if (!bo)
  {
    number n=(number) tmp.data;
    if (nIsZero(n)) { res->data=NULL;nDelete(&n); }
    else
    {
      res->data=(void *)pNSet(n);
    }
  }
  return bo;
}
static BOOLEAN jjCALL1MANY(leftv res, leftv u)
{
  return iiExprArithM(res,u,iiOp);
}
static BOOLEAN jjCHAR(leftv res, leftv v)
{
  res->data = (char *)(long)rChar((ring)v->Data());
  return FALSE;
}
static BOOLEAN jjCOLS(leftv res, leftv v)
{
  res->data = (char *)(long)MATCOLS((matrix)(v->Data()));
  return FALSE;
}
static BOOLEAN jjCOLS_BIM(leftv res, leftv v)
{
  res->data = (char *)(long)((bigintmat*)(v->Data()))->cols();
  return FALSE;
}
static BOOLEAN jjCOLS_IV(leftv res, leftv v)
{
  res->data = (char *)(long)((intvec*)(v->Data()))->cols();
  return FALSE;
}
static BOOLEAN jjCONTENT(leftv res, leftv v)
{
  // CopyD for POLY_CMD and VECTOR_CMD are identical:
  poly p=(poly)v->CopyD(POLY_CMD);
  if (p!=NULL) p_Cleardenom(p, currRing);
  res->data = (char *)p;
  return FALSE;
}
static BOOLEAN jjCOUNT_BI(leftv res, leftv v)
{
  res->data = (char *)(long)n_Size((number)v->Data(),coeffs_BIGINT);
  return FALSE;
}
static BOOLEAN jjCOUNT_BIM(leftv res, leftv v)
{
  bigintmat* aa= (bigintmat *)v->Data();
  res->data = (char *)(long)(aa->rows()*aa->cols());
  return FALSE;
}
static BOOLEAN jjCOUNT_N(leftv res, leftv v)
{
  res->data = (char *)(long)nSize((number)v->Data());
  return FALSE;
}
static BOOLEAN jjCOUNT_L(leftv res, leftv v)
{
  lists l=(lists)v->Data();
  res->data = (char *)(long)(lSize(l)+1);
  return FALSE;
}
static BOOLEAN jjCOUNT_M(leftv res, leftv v)
{
  matrix m=(matrix)v->Data();
  res->data = (char *)(long)(MATROWS(m)*MATCOLS(m));
  return FALSE;
}
static BOOLEAN jjCOUNT_IV(leftv res, leftv v)
{
  res->data = (char *)(long)((intvec*)(v->Data()))->length();
  return FALSE;
}
static BOOLEAN jjCOUNT_RG(leftv res, leftv v)
{
  ring r=(ring)v->Data();
  int elems=-1;
  if (rField_is_Zp(r))      elems=r->cf->ch;
  else if (rField_is_GF(r)) elems=r->cf->m_nfCharQ;
  else if (rField_is_Zp_a(r) && (r->cf->type==n_algExt))
  {
    extern int ipower ( int b, int n ); /* factory/cf_util */
    elems=ipower(r->cf->ch,r->cf->extRing->pFDeg(r->cf->extRing->qideal->m[0],r->cf->extRing));
  }
  res->data = (char *)(long)elems;
  return FALSE;
}
static BOOLEAN jjDEG(leftv res, leftv v)
{
  int dummy;
  poly p=(poly)v->Data();
  if (p!=NULL) res->data = (char *)currRing->pLDeg(p,&dummy,currRing);
  else res->data=(char *)-1;
  return FALSE;
}
static BOOLEAN jjDEG_M(leftv res, leftv u)
{
  ideal I=(ideal)u->Data();
  int d=-1;
  int dummy;
  int i;
  for(i=IDELEMS(I)-1;i>=0;i--)
    if (I->m[i]!=NULL) d=si_max(d,(int)currRing->pLDeg(I->m[i],&dummy,currRing));
  res->data = (char *)(long)d;
  return FALSE;
}
static BOOLEAN jjDEGREE(leftv res, leftv v)
{
  SPrintStart();
#ifdef HAVE_RINGS
  if (rField_is_Z(currRing))
  {
    PrintS("// NOTE: computation of degree is being performed for\n");
    PrintS("//       generic fibre, that is, over Q\n");
  }
#endif
  assumeStdFlag(v);
  intvec *module_w=(intvec*)atGet(v,"isHomog",INTVEC_CMD);
  scDegree((ideal)v->Data(),module_w,currRing->qideal);
  char *s=SPrintEnd();
  int l=strlen(s)-1;
  s[l]='\0';
  res->data=(void*)s;
  return FALSE;
}
static BOOLEAN jjDEFINED(leftv res, leftv v)
{
  if ((v->rtyp==IDHDL)
  && ((myynest==IDLEV((idhdl)v->data))||(0==IDLEV((idhdl)v->data))))
  {
    res->data=(void *)(long)(IDLEV((idhdl)v->data)+1);
  }
  else if (v->rtyp!=0) res->data=(void *)(-1);
  return FALSE;
}

/// Return the denominator of the input number
static BOOLEAN jjDENOMINATOR(leftv res, leftv v)
{
  number n = reinterpret_cast<number>(v->CopyD());
  res->data = reinterpret_cast<void*>(n_GetDenom(n, currRing->cf));
  n_Delete(&n,currRing);
  return FALSE;
}

/// Return the numerator of the input number
static BOOLEAN jjNUMERATOR(leftv res, leftv v)
{
  number n = reinterpret_cast<number>(v->CopyD());
  res->data = reinterpret_cast<void*>(n_GetNumerator(n, currRing->cf));
  n_Delete(&n,currRing);
  return FALSE;
}

static BOOLEAN jjDET(leftv res, leftv v)
{
  matrix m=(matrix)v->Data();
  res ->data = mp_Det(m,currRing);
  return FALSE;
}
static BOOLEAN jjDET_BI(leftv res, leftv v)
{
  bigintmat * m=(bigintmat*)v->Data();
  int i,j;
  i=m->rows();j=m->cols();
  if(i==j)
    res->data = (char *)(long)singclap_det_bi(m,coeffs_BIGINT);
  else
  {
    Werror("det of %d x %d bigintmat",i,j);
    return TRUE;
  }
  return FALSE;
}
#ifdef SINGULAR_4_2
static BOOLEAN jjDET_N2(leftv res, leftv v)
{
  bigintmat * m=(bigintmat*)v->Data();
  number2 r=(number2)omAlloc0(sizeof(*r));
  int i,j;
  i=m->rows();j=m->cols();
  if(i==j)
  {
    r->n=m->det();
    r->cf=m->basecoeffs();
  }
  else
  {
    omFreeSize(r,sizeof(*r));
    Werror("det of %d x %d cmatrix",i,j);
    return TRUE;
  }
  res->data=(void*)r;
  return FALSE;
}
#endif
static BOOLEAN jjDET_I(leftv res, leftv v)
{
  intvec * m=(intvec*)v->Data();
  int i,j;
  i=m->rows();j=m->cols();
  if(i==j)
    res->data = (char *)(long)singclap_det_i(m,currRing);
  else
  {
    Werror("det of %d x %d intmat",i,j);
    return TRUE;
  }
  return FALSE;
}
static BOOLEAN jjDET_S(leftv res, leftv v)
{
  ideal I=(ideal)v->Data();
  res->data=(char*)sm_Det(I,currRing);
  return FALSE;
}
static BOOLEAN jjDIM(leftv res, leftv v)
{
  assumeStdFlag(v);
  if (rHasMixedOrdering(currRing))
  {
     Warn("dim(%s) may be wrong because the mixed monomial ordering",v->Name());
  }
#ifdef HAVE_RINGS
  if (rField_is_Ring(currRing))
  {
    ideal vid = (ideal)v->Data();
    int i = idPosConstant(vid);
    if ((i != -1) && (n_IsUnit(pGetCoeff(vid->m[i]),currRing->cf)))
    { /* ideal v contains unit; dim = -1 */
      res->data = (char *)-1L;
      return FALSE;
    }
    ideal vv = id_Head(vid,currRing);
    idSkipZeroes(vv);
    int j = idPosConstant(vv);
    long d;
    if(j == -1)
    {
      d = (long)scDimInt(vv, currRing->qideal);
      if(rField_is_Z(currRing))
        d++;
    }
    else
    {
      if(n_IsUnit(pGetCoeff(vv->m[j]),currRing->cf))
        d = -1;
      else
        d = (long)scDimInt(vv, currRing->qideal);
    }
    //Anne's Idea for std(4,2x) = 0 bug
    long dcurr = d;
    for(unsigned ii=0;ii<(unsigned)IDELEMS(vv);ii++)
    {
      if(vv->m[ii] != NULL && !n_IsUnit(pGetCoeff(vv->m[ii]),currRing->cf))
      {
        ideal vc = idCopy(vv);
        poly c = pInit();
        pSetCoeff0(c,nCopy(pGetCoeff(vv->m[ii])));
        idInsertPoly(vc,c);
        idSkipZeroes(vc);
        for(unsigned jj = 0;jj<(unsigned)IDELEMS(vc)-1;jj++)
        {
          if((vc->m[jj]!=NULL)
          && (n_DivBy(pGetCoeff(vc->m[jj]),pGetCoeff(c),currRing->cf)))
          {
            pDelete(&vc->m[jj]);
          }
        }
        idSkipZeroes(vc);
        j = idPosConstant(vc);
        if (j != -1) pDelete(&vc->m[j]);
        dcurr = (long)scDimInt(vc, currRing->qideal);
        // the following assumes the ground rings to be either zero- or one-dimensional
        if((j==-1) && rField_is_Z(currRing))
        {
          // should also be activated for other euclidean domains as groundfield
          dcurr++;
        }
        idDelete(&vc);
      }
      if(dcurr > d)
          d = dcurr;
    }
    res->data = (char *)d;
    idDelete(&vv);
    return FALSE;
  }
#endif
  res->data = (char *)(long)scDimInt((ideal)(v->Data()),currRing->qideal);
  return FALSE;
}
static BOOLEAN jjDUMP(leftv, leftv v)
{
  si_link l = (si_link)v->Data();
  if (slDump(l))
  {
    const char *s;
    if ((l!=NULL)&&(l->name!=NULL)) s=l->name;
    else                            s=sNoName_fe;
    Werror("cannot dump to `%s`",s);
    return TRUE;
  }
  else
    return FALSE;
}
static BOOLEAN jjE(leftv res, leftv v)
{
  res->data = (char *)pOne();
  int co=(int)(long)v->Data();
  if (co>0)
  {
    pSetComp((poly)res->data,co);
    pSetm((poly)res->data);
  }
  else WerrorS("argument of gen must be positive");
  return (co<=0);
}
static BOOLEAN jjEXECUTE(leftv, leftv v)
{
  char * d = (char *)v->Data();
  char * s = (char *)omAlloc(strlen(d) + 13);
  strcpy( s, (char *)d);
  strcat( s, "\n;RETURN();\n");
  newBuffer(s,BT_execute);
  return yyparse();
}
static BOOLEAN jjFACSTD(leftv res, leftv v)
{
  lists L=(lists)omAllocBin(slists_bin);
  if (currRing->cf->convSingNFactoryN!=ndConvSingNFactoryN) /* conversion to factory*/
  {
    ideal_list p,h;
    h=kStdfac((ideal)v->Data(),NULL,testHomog,NULL);
    if (h==NULL)
    {
      L->Init(1);
      L->m[0].data=(char *)idInit(1);
      L->m[0].rtyp=IDEAL_CMD;
    }
    else
    {
      p=h;
      int l=0;
      while (p!=NULL) { p=p->next;l++; }
      L->Init(l);
      l=0;
      while(h!=NULL)
      {
        L->m[l].data=(char *)h->d;
        L->m[l].rtyp=IDEAL_CMD;
        p=h->next;
        omFreeSize(h,sizeof(*h));
        h=p;
        l++;
      }
    }
  }
  else
  {
    WarnS("no factorization implemented");
    L->Init(1);
    iiExprArith1(&(L->m[0]),v,STD_CMD);
  }
  res->data=(void *)L;
  return FALSE;
}
static BOOLEAN jjFAC_P(leftv res, leftv u)
{
  intvec *v=NULL;
  singclap_factorize_retry=0;
  ideal f=singclap_factorize((poly)(u->CopyD()), &v, 0,currRing);
  if (f==NULL) return TRUE;
  ivTest(v);
  lists l=(lists)omAllocBin(slists_bin);
  l->Init(2);
  l->m[0].rtyp=IDEAL_CMD;
  l->m[0].data=(void *)f;
  l->m[1].rtyp=INTVEC_CMD;
  l->m[1].data=(void *)v;
  res->data=(void *)l;
  return FALSE;
}
static BOOLEAN jjGETDUMP(leftv, leftv v)
{
  si_link l = (si_link)v->Data();
  if (slGetDump(l))
  {
    const char *s;
    if ((l!=NULL)&&(l->name!=NULL)) s=l->name;
    else                            s=sNoName_fe;
    Werror("cannot get dump from `%s`",s);
    return TRUE;
  }
  else
    return FALSE;
}
static BOOLEAN jjHIGHCORNER(leftv res, leftv v)
{
  assumeStdFlag(v);
  ideal I=(ideal)v->Data();
  res->data=(void *)iiHighCorner(I,0);
  return FALSE;
}
static BOOLEAN jjHIGHCORNER_M(leftv res, leftv v)
{
  assumeStdFlag(v);
  intvec *w=(intvec*)atGet(v,"isHomog",INTVEC_CMD);
  BOOLEAN delete_w=FALSE;
  ideal I=(ideal)v->Data();
  int i;
  poly p=NULL,po=NULL;
  int rk=id_RankFreeModule(I,currRing);
  if (w==NULL)
  {
    w = new intvec(rk);
    delete_w=TRUE;
  }
  for(i=rk;i>0;i--)
  {
    p=iiHighCorner(I,i);
    if (p==NULL)
    {
      WerrorS("module must be zero-dimensional");
      if (delete_w) delete w;
      return TRUE;
    }
    if (po==NULL)
    {
      po=p;
    }
    else
    {
      // now po!=NULL, p!=NULL
      int d=(currRing->pFDeg(po,currRing)-(*w)[pGetComp(po)-1] - currRing->pFDeg(p,currRing)+(*w)[i-1]);
      if (d==0)
        d=pLmCmp(po,p);
      if (d > 0)
      {
        pDelete(&p);
      }
      else // (d < 0)
      {
        pDelete(&po); po=p;
      }
    }
  }
  if (delete_w) delete w;
  res->data=(void *)po;
  return FALSE;
}
static BOOLEAN jjHILBERT(leftv, leftv v)
{
#ifdef HAVE_RINGS
  if (rField_is_Z(currRing))
  {
    PrintS("// NOTE: computation of Hilbert series etc. is being\n");
    PrintS("//       performed for generic fibre, that is, over Q\n");
  }
#endif
  assumeStdFlag(v);
  intvec *module_w=(intvec*)atGet(v,"isHomog",INTVEC_CMD);
  //scHilbertPoly((ideal)v->Data(),currRing->qideal);
  hLookSeries((ideal)v->Data(),module_w,currRing->qideal);
  return FALSE;
}
static BOOLEAN jjHILBERT_IV(leftv res, leftv v)
{
#ifdef HAVE_RINGS
  if (rField_is_Z(currRing))
  {
    PrintS("// NOTE: computation of Hilbert series etc. is being\n");
    PrintS("//       performed for generic fibre, that is, over Q\n");
  }
#endif
  res->data=(void *)hSecondSeries((intvec *)v->Data());
  return FALSE;
}
static BOOLEAN jjHOMOG1(leftv res, leftv v)
{
  intvec *w=(intvec*)atGet(v,"isHomog",INTVEC_CMD);
  ideal v_id=(ideal)v->Data();
  if (w==NULL)
  {
    res->data=(void *)(long)idHomModule(v_id,currRing->qideal,&w);
    if (res->data!=NULL)
    {
      if (v->rtyp==IDHDL)
      {
        char *s_isHomog=omStrDup("isHomog");
        if (v->e==NULL)
          atSet((idhdl)(v->data),s_isHomog,w,INTVEC_CMD);
        else
          atSet((idhdl)(v->LData()),s_isHomog,w,INTVEC_CMD);
      }
      else if (w!=NULL) delete w;
    } // if res->data==NULL then w==NULL
  }
  else
  {
    res->data=(void *)(long)idTestHomModule(v_id,currRing->qideal,w);
    if((res->data==NULL) && (v->rtyp==IDHDL))
    {
      if (v->e==NULL)
        atKill((idhdl)(v->data),"isHomog");
      else
        atKill((idhdl)(v->LData()),"isHomog");
    }
  }
  return FALSE;
}
static BOOLEAN jjidMaxIdeal(leftv res, leftv v)
{
#ifdef HAVE_SHIFTBBA
  if (currRing->isLPring)
  {
    int deg = (int)(long)v->Data();
    if (deg > currRing->N/currRing->isLPring) {
      WerrorS("degree bound of Letterplace ring is to small");
      return TRUE;
    }
  }
#endif
  res->data = (char *)idMaxIdeal((int)(long)v->Data());
  setFlag(res,FLAG_STD);
  return FALSE;
}
static BOOLEAN jjIDEAL_Ma(leftv res, leftv v)
{
  matrix mat=(matrix)v->CopyD(MATRIX_CMD);
  IDELEMS((ideal)mat)=MATCOLS(mat)*MATROWS(mat);
  if (IDELEMS((ideal)mat)==0)
  {
    idDelete((ideal *)&mat);
    mat=(matrix)idInit(1,1);
  }
  else
  {
    MATROWS(mat)=1;
    mat->rank=1;
    idTest((ideal)mat);
  }
  res->data=(char *)mat;
  return FALSE;
}
static BOOLEAN jjIDEAL_Map(leftv res, leftv v)
{
  map m=(map)v->CopyD(MAP_CMD);
  omFree((ADDRESS)m->preimage);
  m->preimage=NULL;
  ideal I=(ideal)m;
  I->rank=1;
  res->data=(char *)I;
  return FALSE;
}
static BOOLEAN jjIDEAL_R(leftv res, leftv v)
{
  if (currRing!=NULL)
  {
    ring q=(ring)v->Data();
    if (rSamePolyRep(currRing, q))
    {
      if (q->qideal==NULL)
        res->data=(char *)idInit(1,1);
      else
        res->data=(char *)idCopy(q->qideal);
      return FALSE;
    }
  }
  WerrorS("can only get ideal from identical qring");
  return TRUE;
}
static BOOLEAN jjIm2Iv(leftv res, leftv v)
{
  intvec *iv = (intvec *)v->CopyD(INTMAT_CMD);
  iv->makeVector();
  res->data = iv;
  return FALSE;
}
static BOOLEAN jjIMPART(leftv res, leftv v)
{
  res->data = (char *)n_ImPart((number)v->Data(),currRing->cf);
  return FALSE;
}
static BOOLEAN jjINDEPSET(leftv res, leftv v)
{
  assumeStdFlag(v);
  res->data=(void *)scIndIntvec((ideal)(v->Data()),currRing->qideal);
  return FALSE;
}
static BOOLEAN jjINTERRED(leftv res, leftv v)
{
  ideal result=kInterRed((ideal)(v->Data()), currRing->qideal);
#ifdef HAVE_RINGS
  if(rField_is_Ring(currRing))
    WarnS("interred: this command is experimental over the integers");
#endif
  if (TEST_OPT_PROT) { PrintLn(); mflush(); }
  res->data = result;
  return FALSE;
}
static BOOLEAN jjIS_RINGVAR_P(leftv res, leftv v)
{
  res->data = (char *)(long)pVar((poly)v->Data());
  return FALSE;
}
static BOOLEAN jjIS_RINGVAR_S(leftv res, leftv v)
{
  res->data = (char *)(long)(r_IsRingVar((char *)v->Data(), currRing->names,
                                                            currRing->N)+1);
  return FALSE;
}
static BOOLEAN jjIS_RINGVAR0(leftv res, leftv)
{
  res->data = (char *)0;
  return FALSE;
}
static BOOLEAN jjJACOB_P(leftv res, leftv v)
{
  ideal i=idInit(currRing->N,1);
  int k;
  poly p=(poly)(v->Data());
  for (k=currRing->N;k>0;k--)
  {
    i->m[k-1]=pDiff(p,k);
  }
  res->data = (char *)i;
  return FALSE;
}
static BOOLEAN jjDIFF_COEF(leftv res, leftv u, leftv v)
{
  if (!nCoeff_is_transExt(currRing->cf))
  {
    WerrorS("differentiation not defined in the coefficient ring");
    return TRUE;
  }
  number n = (number) u->Data();
  number k = (number) v->Data();
  res->data = ntDiff(n,k,currRing->cf);
  return FALSE;
}
/*2
 * compute Jacobi matrix of a module/matrix
 * Jacobi(M) := ( diff(Mt,var(1))|, ... ,| diff(Mt,var(currRing->N))  ),
 * where Mt := transpose(M)
 * Note that this is consistent with the current conventions for jacob in Singular,
 * whereas M2 computes its transposed.
 */
static BOOLEAN jjJACOB_M(leftv res, leftv a)
{
  ideal id = (ideal)a->Data();
  id = id_Transp(id,currRing);
  int W = IDELEMS(id);

  ideal result = idInit(W * currRing->N, id->rank);
  poly *p = result->m;

  for( int v = 1; v <= currRing->N; v++ )
  {
    poly* q = id->m;
    for( int i = 0; i < W; i++, p++, q++ )
      *p = pDiff( *q, v );
  }
  idDelete(&id);

  res->data = (char *)result;
  return FALSE;
}

static BOOLEAN jjKBASE(leftv res, leftv v)
{
  assumeStdFlag(v);
  res->data = (char *)scKBase(-1,(ideal)(v->Data()),currRing->qideal);
  return FALSE;
}
static BOOLEAN jjL2R(leftv res, leftv v)
{
  res->data=(char *)syConvList((lists)v->Data());
  if (res->data != NULL)
    return FALSE;
  else
    return TRUE;
}
static BOOLEAN jjLEADCOEF(leftv res, leftv v)
{
  poly p=(poly)v->Data();
  if (p==NULL)
  {
    res->data=(char *)nInit(0);
  }
  else
  {
    nNormalize(pGetCoeff(p));
    res->data=(char *)nCopy(pGetCoeff(p));
  }
  return FALSE;
}
static BOOLEAN jjLEADEXP(leftv res, leftv v)
{
  poly p=(poly)v->Data();
  int s=currRing->N;
  if (v->Typ()==VECTOR_CMD) s++;
  intvec *iv=new intvec(s);
  if (p!=NULL)
  {
    for(int i = currRing->N;i;i--)
    {
      (*iv)[i-1]=pGetExp(p,i);
    }
    if (s!=currRing->N)
      (*iv)[currRing->N]=pGetComp(p);
  }
  res->data=(char *)iv;
  return FALSE;
}
static BOOLEAN jjLEADMONOM(leftv res, leftv v)
{
  poly p=(poly)v->Data();
  if (p == NULL)
  {
    res->data = (char*) NULL;
  }
  else
  {
    poly lm = pLmInit(p);
    pSetCoeff0(lm, nInit(1));
    res->data = (char*) lm;
  }
  return FALSE;
}
static BOOLEAN jjLOAD1(leftv /*res*/, leftv v)
{
  return jjLOAD((char*)v->Data(),FALSE);
}
static BOOLEAN jjLISTRING(leftv res, leftv v)
{
  lists l=(lists)v->Data();
  long mm=(long)atGet(v,"maxExp",INT_CMD);
  if (mm==0) mm=0x7fff;
  int isLetterplace=(int)(long)atGet(v,"isLetterplaceRing",INT_CMD);
  ring r=rCompose(l,TRUE,mm,isLetterplace);
  res->data=(char *)r;
  return (r==NULL);
}
static BOOLEAN jjPFAC1(leftv res, leftv v)
{
  /* call method jjPFAC2 with second argument = 0 (meaning that no
     valid bound for the prime factors has been given) */
  sleftv tmp;
  memset(&tmp, 0, sizeof(tmp));
  tmp.rtyp = INT_CMD;
  return jjPFAC2(res, v, &tmp);
}
static BOOLEAN jjLU_DECOMP(leftv res, leftv v)
{
  /* computes the LU-decomposition of a matrix M;
     i.e., M = P * L * U, where
        - P is a row permutation matrix,
        - L is in lower triangular form,
        - U is in upper row echelon form
     Then, we also have P * M = L * U.
     A list [P, L, U] is returned. */
  matrix mat = (const matrix)v->Data();
  if (!idIsConstant((ideal)mat))
  {
    WerrorS("matrix must be constant");
    return TRUE;
  }
  matrix pMat;
  matrix lMat;
  matrix uMat;

  luDecomp(mat, pMat, lMat, uMat);

  lists ll = (lists)omAllocBin(slists_bin);
  ll->Init(3);
  ll->m[0].rtyp=MATRIX_CMD; ll->m[0].data=(void *)pMat;
  ll->m[1].rtyp=MATRIX_CMD; ll->m[1].data=(void *)lMat;
  ll->m[2].rtyp=MATRIX_CMD; ll->m[2].data=(void *)uMat;
  res->data=(char*)ll;

  return FALSE;
}
static BOOLEAN jjMEMORY(leftv res, leftv v)
{
  // clean out "_":
  sLastPrinted.CleanUp();
  memset(&sLastPrinted,0,sizeof(sleftv));
  // collect all info:
  omUpdateInfo();
  switch(((int)(long)v->Data()))
  {
  case 0:
    res->data=(char *)n_Init(om_Info.UsedBytes,coeffs_BIGINT);
    break;
  case 1:
    res->data = (char *)n_Init(om_Info.CurrentBytesSystem,coeffs_BIGINT);
    break;
  case 2:
    res->data = (char *)n_Init(om_Info.MaxBytesSystem,coeffs_BIGINT);
    break;
  default:
    omPrintStats(stdout);
    omPrintInfo(stdout);
    omPrintBinStats(stdout);
    res->data = (char *)0;
    res->rtyp = NONE;
  }
  return FALSE;
  res->data = (char *)0;
  return FALSE;
}
//static BOOLEAN jjMONITOR1(leftv res, leftv v)
//{
//  return jjMONITOR2(res,v,NULL);
//}
static BOOLEAN jjMSTD(leftv res, leftv v)
{
  int t=v->Typ();
  ideal r,m;
  r=kMin_std((ideal)v->Data(),currRing->qideal,testHomog,NULL,m);
  lists l=(lists)omAllocBin(slists_bin);
  l->Init(2);
  l->m[0].rtyp=t;
  l->m[0].data=(char *)r;
  setFlag(&(l->m[0]),FLAG_STD);
  l->m[1].rtyp=t;
  l->m[1].data=(char *)m;
  res->data=(char *)l;
  return FALSE;
}
static BOOLEAN jjMULT(leftv res, leftv v)
{
  assumeStdFlag(v);
  res->data = (char *)(long)scMultInt((ideal)(v->Data()),currRing->qideal);
  return FALSE;
}
static BOOLEAN jjMINRES_R(leftv res, leftv v)
{
  intvec *weights=(intvec*)atGet(v,"isHomog",INTVEC_CMD);

  syStrategy tmp=(syStrategy)v->Data();
  tmp = syMinimize(tmp); // enrich itself!

  res->data=(char *)tmp;

  if (weights!=NULL)
    atSet(res, omStrDup("isHomog"),ivCopy(weights),INTVEC_CMD);

  return FALSE;
}
static BOOLEAN jjN2BI(leftv res, leftv v)
{
  number n,i; i=(number)v->Data();
  nMapFunc nMap=n_SetMap(currRing->cf,coeffs_BIGINT);
  if (nMap!=NULL)
    n=nMap(i,currRing->cf,coeffs_BIGINT);
  else goto err;
  res->data=(void *)n;
  return FALSE;
err:
  WerrorS("cannot convert to bigint"); return TRUE;
}
static BOOLEAN jjNAMEOF(leftv res, leftv v)
{
  if ((v->rtyp==IDHDL)||(v->rtyp==ALIAS_CMD))
    res->data=omStrDup(v->name);
  else if (v->name==NULL)
    res->data=omStrDup("");
  else
  {
    res->data = (char *)v->name;
    v->name=NULL;
  }
  return FALSE;
}
static BOOLEAN jjNAMES(leftv res, leftv v)
{
  res->data=ipNameList(((ring)v->Data())->idroot);
  return FALSE;
}
static BOOLEAN jjNAMES_I(leftv res, leftv v)
{
  res->data=ipNameListLev((IDROOT),(int)(long)v->Data());
  return FALSE;
}
static BOOLEAN jjNOT(leftv res, leftv v)
{
  res->data=(char*)(long)((long)v->Data()==0 ? 1 : 0);
  return FALSE;
}
static BOOLEAN jjNVARS(leftv res, leftv v)
{
  res->data = (char *)(long)(((ring)(v->Data()))->N);
  return FALSE;
}
static BOOLEAN jjOpenClose(leftv, leftv v)
{
  si_link l=(si_link)v->Data();
  if (iiOp==OPEN_CMD) return slOpen(l, SI_LINK_OPEN,v);
  else { slPrepClose(l); return slClose(l);}
}
static BOOLEAN jjORD(leftv res, leftv v)
{
  poly p=(poly)v->Data();
  res->data=(char *)( p==NULL ? -1 : currRing->pFDeg(p,currRing) );
  return FALSE;
}
static BOOLEAN jjPAR1(leftv res, leftv v)
{
  int i=(int)(long)v->Data();
  int p=0;
  p=rPar(currRing);
  if ((0<i) && (i<=p))
  {
    res->data=(char *)n_Param(i,currRing);
  }
  else
  {
    Werror("par number %d out of range 1..%d",i,p);
    return TRUE;
  }
  return FALSE;
}
static BOOLEAN jjPARDEG(leftv res, leftv v)
{
  number nn=(number)v->Data();
  res->data = (char *)(long)n_ParDeg(nn, currRing->cf);
  return FALSE;
}
static BOOLEAN jjPARSTR1(leftv res, leftv v)
{
  if (currRing==NULL)
  {
    WerrorS("no ring active (1)");
    return TRUE;
  }
  int i=(int)(long)v->Data();
  int p=0;
  if ((0<i) && (rParameter(currRing)!=NULL) && (i<=(p=rPar(currRing))))
    res->data=omStrDup(rParameter(currRing)[i-1]);
  else
  {
    Werror("par number %d out of range 1..%d",i,p);
    return TRUE;
  }
  return FALSE;
}
static BOOLEAN jjP2BI(leftv res, leftv v)
{
  poly p=(poly)v->Data();
  if (p==NULL) { res->data=(char *)n_Init(0,coeffs_BIGINT); return FALSE; }
  if ((pNext(p)!=NULL)|| (!pIsConstant(p)))
  {
    WerrorS("poly must be constant");
    return TRUE;
  }
  number i=pGetCoeff(p);
  number n;
  nMapFunc nMap=n_SetMap(currRing->cf,coeffs_BIGINT);
  if (nMap!=NULL)
    n=nMap(i,currRing->cf,coeffs_BIGINT);
  else goto err;
  res->data=(void *)n;
  return FALSE;
err:
  WerrorS("cannot convert to bigint"); return TRUE;
}
static BOOLEAN jjP2I(leftv res, leftv v)
{
  poly p=(poly)v->Data();
  if (p==NULL) { /*res->data=(char *)0;*/ return FALSE; }
  if ((pNext(p)!=NULL)|| (!pIsConstant(p)))
  {
    WerrorS("poly must be constant");
    return TRUE;
  }
  res->data = (char *)(long)iin_Int(pGetCoeff(p),currRing->cf);
  return FALSE;
}
static BOOLEAN jjPREIMAGE_R(leftv res, leftv v)
{
  map mapping=(map)v->Data();
  syMake(res,omStrDup(mapping->preimage));
  return FALSE;
}
static BOOLEAN jjPRIME(leftv res, leftv v)
{
  int i = IsPrime((int)(long)(v->Data()));
  res->data = (char *)(long)(i > 1 ? i : 2);
  return FALSE;
}
static BOOLEAN jjPRUNE(leftv res, leftv v)
{
  intvec *w=(intvec *)atGet(v,"isHomog",INTVEC_CMD);
  ideal v_id=(ideal)v->Data();
  if (w!=NULL)
  {
    if (!idTestHomModule(v_id,currRing->qideal,w))
    {
      WarnS("wrong weights");
      w=NULL;
      // and continue at the non-homog case below
    }
    else
    {
      w=ivCopy(w);
      intvec **ww=&w;
      res->data = (char *)idMinEmbedding(v_id,FALSE,ww);
      atSet(res,omStrDup("isHomog"),*ww,INTVEC_CMD);
      return FALSE;
    }
  }
  res->data = (char *)idMinEmbedding(v_id);
  return FALSE;
}
static BOOLEAN jjP2N(leftv res, leftv v)
{
  number n;
  poly p;
  if (((p=(poly)v->Data())!=NULL)
  && (pIsConstant(p)))
  {
    n=nCopy(pGetCoeff(p));
  }
  else
  {
    n=nInit(0);
  }
  res->data = (char *)n;
  return FALSE;
}
static BOOLEAN jjRESERVEDNAME(leftv res, leftv v)
{
  char *s= (char *)v->Data();
  // try system keywords
  for(unsigned i=0; i<sArithBase.nCmdUsed; i++)
  {
    //Print("test %d, >>%s<<, tab:>>%s<<\n",i,s,sArithBase.sCmds[i].name);
    if (strcmp(s, sArithBase.sCmds[i].name) == 0)
    {
      res->data = (char *)1;
      return FALSE;
    }
  }
  // try blackbox names
  int id;
  blackboxIsCmd(s,id);
  if (id>0)
  {
    res->data = (char *)1;
  }
  return FALSE;
}
static BOOLEAN jjRANK1(leftv res, leftv v)
{
  matrix m =(matrix)v->Data();
  int rank = luRank(m, 0);
  res->data =(char *)(long)rank;
  return FALSE;
}
static BOOLEAN jjREAD(leftv res, leftv v)
{
  return jjREAD2(res,v,NULL);
}
static BOOLEAN jjREGULARITY(leftv res, leftv v)
{
  res->data = (char *)(long)iiRegularity((lists)v->Data());
  return FALSE;
}
static BOOLEAN jjREPART(leftv res, leftv v)
{
  res->data = (char *)n_RePart((number)v->Data(),currRing->cf);
  return FALSE;
}
static BOOLEAN jjRINGLIST(leftv res, leftv v)
{
  ring r=(ring)v->Data();
  if (r!=NULL)
  {
    res->data = (char *)rDecompose((ring)v->Data());
    if (res->data!=NULL)
    {
      long mm=r->bitmask/2;
      if (mm>MAX_INT_VAL) mm=MAX_INT_VAL;
      atSet(res,omStrDup("maxExp"),(void*)mm,INT_CMD);
      return FALSE;
    }
  }
  return TRUE;
}
static BOOLEAN jjRINGLIST_C(leftv res, leftv v)
{
  coeffs r=(coeffs)v->Data();
  if (r!=NULL)
    return rDecompose_CF(res,r);
  return TRUE;
}
static BOOLEAN jjRING_LIST(leftv res, leftv v)
{
  ring r=(ring)v->Data();
  if (r!=NULL)
    res->data = (char *)rDecompose_list_cf((ring)v->Data());
  return (r==NULL)||(res->data==NULL);
}
static BOOLEAN jjROWS(leftv res, leftv v)
{
  ideal i = (ideal)v->Data();
  res->data = (char *)i->rank;
  return FALSE;
}
static BOOLEAN jjROWS_BIM(leftv res, leftv v)
{
  res->data = (char *)(long)((bigintmat*)(v->Data()))->rows();
  return FALSE;
}
static BOOLEAN jjROWS_IV(leftv res, leftv v)
{
  res->data = (char *)(long)((intvec*)(v->Data()))->rows();
  return FALSE;
}
static BOOLEAN jjRPAR(leftv res, leftv v)
{
  res->data = (char *)(long)rPar(((ring)v->Data()));
  return FALSE;
}
static BOOLEAN jjS2I(leftv res, leftv v)
{
  res->data = (char *)(long)atoi((char*)v->Data());
  return FALSE;
}
static BOOLEAN jjSLIM_GB(leftv res, leftv u)
{
  const bool bIsSCA = rIsSCA(currRing);

  if ((currRing->qideal!=NULL) && !bIsSCA)
  {
    WerrorS("qring not supported by slimgb at the moment");
    return TRUE;
  }
  if (rHasLocalOrMixedOrdering(currRing))
  {
    WerrorS("ordering must be global for slimgb");
    return TRUE;
  }
  if (rField_is_numeric(currRing))
    WarnS("groebner base computations with inexact coefficients can not be trusted due to rounding errors");
  intvec *w=(intvec *)atGet(u,"isHomog",INTVEC_CMD);
  // tHomog hom=testHomog;
  ideal u_id=(ideal)u->Data();
  if (w!=NULL)
  {
    if (!idTestHomModule(u_id,currRing->qideal,w))
    {
      WarnS("wrong weights");
      w=NULL;
    }
    else
    {
      w=ivCopy(w);
      // hom=isHomog;
    }
  }

  assume(u_id->rank>=id_RankFreeModule(u_id, currRing));
  res->data=(char *)t_rep_gb(currRing,
    u_id,u_id->rank);
  //res->data=(char *)t_rep_gb(currRing, u_id);

  if(!TEST_OPT_DEGBOUND) setFlag(res,FLAG_STD);
  if (w!=NULL) atSet(res,omStrDup("isHomog"),w,INTVEC_CMD);
  return FALSE;
}
static BOOLEAN jjSBA(leftv res, leftv v)
{
  ideal result;
  ideal v_id=(ideal)v->Data();
  intvec *w=(intvec *)atGet(v,"isHomog",INTVEC_CMD);
  tHomog hom=testHomog;
  if (w!=NULL)
  {
    if (!idTestHomModule(v_id,currRing->qideal,w))
    {
      WarnS("wrong weights");
      w=NULL;
    }
    else
    {
      hom=isHomog;
      w=ivCopy(w);
    }
  }
  result=kSba(v_id,currRing->qideal,hom,&w,1,0);
  idSkipZeroes(result);
  res->data = (char *)result;
  if(!TEST_OPT_DEGBOUND) setFlag(res,FLAG_STD);
  if (w!=NULL) atSet(res,omStrDup("isHomog"),w,INTVEC_CMD);
  return FALSE;
}
static BOOLEAN jjSBA_1(leftv res, leftv v, leftv u)
{
  ideal result;
  ideal v_id=(ideal)v->Data();
  intvec *w=(intvec *)atGet(v,"isHomog",INTVEC_CMD);
  tHomog hom=testHomog;
  if (w!=NULL)
  {
    if (!idTestHomModule(v_id,currRing->qideal,w))
    {
      WarnS("wrong weights");
      w=NULL;
    }
    else
    {
      hom=isHomog;
      w=ivCopy(w);
    }
  }
  result=kSba(v_id,currRing->qideal,hom,&w,(int)(long)u->Data(),0);
  idSkipZeroes(result);
  res->data = (char *)result;
  if(!TEST_OPT_DEGBOUND) setFlag(res,FLAG_STD);
  if (w!=NULL) atSet(res,omStrDup("isHomog"),w,INTVEC_CMD);
  return FALSE;
}
static BOOLEAN jjSBA_2(leftv res, leftv v, leftv u, leftv t)
{
  ideal result;
  ideal v_id=(ideal)v->Data();
  intvec *w=(intvec *)atGet(v,"isHomog",INTVEC_CMD);
  tHomog hom=testHomog;
  if (w!=NULL)
  {
    if (!idTestHomModule(v_id,currRing->qideal,w))
    {
      WarnS("wrong weights");
      w=NULL;
    }
    else
    {
      hom=isHomog;
      w=ivCopy(w);
    }
  }
  result=kSba(v_id,currRing->qideal,hom,&w,(int)(long)u->Data(),(int)(long)t->Data());
  idSkipZeroes(result);
  res->data = (char *)result;
  if(!TEST_OPT_DEGBOUND) setFlag(res,FLAG_STD);
  if (w!=NULL) atSet(res,omStrDup("isHomog"),w,INTVEC_CMD);
  return FALSE;
}
static BOOLEAN jjSTD(leftv res, leftv v)
{
  if (rField_is_numeric(currRing))
    WarnS("groebner base computations with inexact coefficients can not be trusted due to rounding errors");
  ideal result;
  ideal v_id=(ideal)v->Data();
  intvec *w=(intvec *)atGet(v,"isHomog",INTVEC_CMD);
  tHomog hom=testHomog;
  if (w!=NULL)
  {
    if (!idTestHomModule(v_id,currRing->qideal,w))
    {
      WarnS("wrong weights");
      w=NULL;
    }
    else
    {
      hom=isHomog;
      w=ivCopy(w);
    }
  }
  result=kStd(v_id,currRing->qideal,hom,&w);
  idSkipZeroes(result);
  res->data = (char *)result;
  if(!TEST_OPT_DEGBOUND) setFlag(res,FLAG_STD);
  if (w!=NULL) atSet(res,omStrDup("isHomog"),w,INTVEC_CMD);
  return FALSE;
}
static BOOLEAN jjSort_Id(leftv res, leftv v)
{
  res->data = (char *)idSort((ideal)v->Data());
  return FALSE;
}
static BOOLEAN jjSQR_FREE(leftv res, leftv u)
{
  singclap_factorize_retry=0;
  intvec *v=NULL;
  ideal f=singclap_sqrfree((poly)(u->CopyD()), &v, 0, currRing);
  if (f==NULL) return TRUE;
  ivTest(v);
  lists l=(lists)omAllocBin(slists_bin);
  l->Init(2);
  l->m[0].rtyp=IDEAL_CMD;
  l->m[0].data=(void *)f;
  l->m[1].rtyp=INTVEC_CMD;
  l->m[1].data=(void *)v;
  res->data=(void *)l;
  return FALSE;
}
#if 0
static BOOLEAN jjSYZYGY(leftv res, leftv v)
{
  intvec *w=NULL;
  res->data = (char *)idSyzygies((ideal)v->Data(),testHomog,&w);
  if (w!=NULL) delete w;
  if (TEST_OPT_RETURN_SB) setFlag(res,FLAG_STD);
  return FALSE;
}
#else
// activate, if idSyz handle module weights correctly !
static BOOLEAN jjSYZYGY(leftv res, leftv v)
{
  intvec *ww=(intvec *)atGet(v,"isHomog",INTVEC_CMD);
  intvec *w=NULL;
  ideal v_id=(ideal)v->Data();
  tHomog hom=testHomog;
#ifdef HAVE_SHIFTBBA
  if (rIsLPRing(currRing))
  {
    if (currRing->LPncGenCount < IDELEMS(v_id))
    {
      Werror("At least %d ncgen variables are needed for this computation.", IDELEMS(v_id));
      return TRUE;
    }
  }
#endif
  if (ww!=NULL)
  {
    if (idTestHomModule(v_id,currRing->qideal,ww))
    {
      w=ivCopy(ww);
      int add_row_shift=w->min_in();
      (*w)-=add_row_shift;
      hom=isHomog;
    }
    else
    {
      //WarnS("wrong weights");
      delete ww; ww=NULL;
      hom=testHomog;
    }
  }
  else
  {
    if (v->Typ()==IDEAL_CMD)
      if (idHomIdeal(v_id,currRing->qideal))
        hom=isHomog;
  }
  ideal S=idSyzygies(v_id,hom,&w);
  res->data = (char *)S;
  if (hom==isHomog)
  {
    int vl=S->rank;
    intvec *vv=new intvec(vl);
    if ((v->Typ()==IDEAL_CMD)||(ww==NULL))
    {
      for(int i=0;i<vl;i++)
      {
        if (v_id->m[i]!=NULL)
          (*vv)[i]=p_Deg(v_id->m[i],currRing);
      }
    }
    else
    {
      p_SetModDeg(ww, currRing);
      for(int i=0;i<vl;i++)
      {
        if (v_id->m[i]!=NULL)
          (*vv)[i]=currRing->pFDeg(v_id->m[i],currRing);
      }
      p_SetModDeg(NULL, currRing);
    }
    if (idTestHomModule(S,currRing->qideal,vv))
      atSet(res,omStrDup("isHomog"),vv,INTVEC_CMD);
    else
      delete vv;
  }
  if (w!=NULL) delete w;
  return FALSE;
}
#endif
static BOOLEAN jjTRACE_IV(leftv res, leftv v)
{
  res->data = (char *)(long)ivTrace((intvec*)(v->Data()));
  return FALSE;
}
static BOOLEAN jjTRANSP_BIM(leftv res, leftv v)
{
  res->data = (char *)(((bigintmat*)(v->Data()))->transpose());
  return FALSE;
}
static BOOLEAN jjTRANSP_IV(leftv res, leftv v)
{
  res->data = (char *)ivTranp((intvec*)(v->Data()));
  return FALSE;
}
#ifdef HAVE_PLURAL
static BOOLEAN jjOPPOSITE(leftv res, leftv a)
{
  ring    r = (ring)a->Data();
  //if (rIsPluralRing(r))
  if (r->OrdSgn==1)
  {
    res->data = rOpposite(r);
  }
  else
  {
    WarnS("opposite only for global orderings");
    res->data = rCopy(r);
  }
  return FALSE;
}
static BOOLEAN jjENVELOPE(leftv res, leftv a)
{
  ring    r = (ring)a->Data();
  if (rIsPluralRing(r))
  {
    ring s = rEnvelope(r);
    res->data = s;
  }
  else  res->data = rCopy(r);
  return FALSE;
}
static BOOLEAN jjTWOSTD(leftv res, leftv a)
{
  ideal result;
  ideal v_id=(ideal)a->Data();
  if (rIsPluralRing(currRing))
    result=(ideal)twostd(v_id);
  else /*commutative or shiftalgebra*/
  {
    return jjSTD(res,a);
  }
  res->data = (char *)result;
  setFlag(res,FLAG_STD);
  setFlag(res,FLAG_TWOSTD);
  return FALSE;
}
#endif
#if defined(HAVE_SHIFTBBA) || defined(HAVE_PLURAL)// do not place above jjSTD in this file because we need to reference it
static BOOLEAN jjRIGHTSTD(leftv res, leftv v)
{
  if (rIsLPRing(currRing))
  {
    if (rField_is_numeric(currRing))
      WarnS("groebner base computations with inexact coefficients can not be trusted due to rounding errors");
    ideal result;
    ideal v_id=(ideal)v->Data();
    /* intvec *w=(intvec *)atGet(v,"isHomog",INTVEC_CMD); */
    /* tHomog hom=testHomog; */
    /* if (w!=NULL) */
    /* { */
    /*   if (!idTestHomModule(v_id,currRing->qideal,w)) */
    /*   { */
    /*     WarnS("wrong weights"); */
    /*     w=NULL; */
    /*   } */
    /*   else */
    /*   { */
    /*     hom=isHomog; */
    /*     w=ivCopy(w); */
    /*   } */
    /* } */
    /* result=kStd(v_id,currRing->qideal,hom,&w); */
    result = rightgb(v_id, currRing->qideal);
    idSkipZeroes(result);
    res->data = (char *)result;
    if(!TEST_OPT_DEGBOUND) setFlag(res,FLAG_STD);
    /* if (w!=NULL) atSet(res,omStrDup("isHomog"),w,INTVEC_CMD); */
    return FALSE;
  }
  else if (rIsPluralRing(currRing))
  {
    ideal I=(ideal)v->Data();

    ring A = currRing;
    ring Aopp = rOpposite(A);
    currRing = Aopp;
    ideal Iopp = idOppose(A, I, Aopp);
    ideal Jopp = kStd(Iopp,currRing->qideal,testHomog,NULL);
    currRing = A;
    ideal J = idOppose(Aopp, Jopp, A);

    id_Delete(&Iopp, Aopp);
    id_Delete(&Jopp, Aopp);
    rDelete(Aopp);

    idSkipZeroes(J);
    res->data = (char *)J;
    if(!TEST_OPT_DEGBOUND) setFlag(res,FLAG_STD);
    return FALSE;
  }
  else
  {
    return jjSTD(res, v);
  }
}
#endif
static BOOLEAN jjTYPEOF(leftv res, leftv v)
{
  int t=(int)(long)v->data;
  switch (t)
  {
    case CRING_CMD:
    case INT_CMD:
    case POLY_CMD:
    case VECTOR_CMD:
    case STRING_CMD:
    case INTVEC_CMD:
    case IDEAL_CMD:
    case MATRIX_CMD:
    case MODUL_CMD:
    case MAP_CMD:
    case PROC_CMD:
    case RING_CMD:
    case SMATRIX_CMD:
    //case QRING_CMD:
    case INTMAT_CMD:
    case BIGINTMAT_CMD:
    case NUMBER_CMD:
    #ifdef SINGULAR_4_2
    case CNUMBER_CMD:
    #endif
    case BIGINT_CMD:
    case BUCKET_CMD:
    case LIST_CMD:
    case PACKAGE_CMD:
    case LINK_CMD:
    case RESOLUTION_CMD:
         res->data=omStrDup(Tok2Cmdname(t)); break;
    case DEF_CMD:
    case NONE:           res->data=omStrDup("none"); break;
    default:
    {
      if (t>MAX_TOK)
        res->data=omStrDup(getBlackboxName(t));
      else
        res->data=omStrDup("?unknown type?");
      break;
    }
  }
  return FALSE;
}
static BOOLEAN jjUNIVARIATE(leftv res, leftv v)
{
  res->data=(char *)(long)pIsUnivariate((poly)v->Data());
  return FALSE;
}
static BOOLEAN jjVAR1(leftv res, leftv v)
{
  int i=(int)(long)v->Data();
  if ((0<i) && (i<=currRing->N))
  {
    poly p=pOne();
    pSetExp(p,i,1);
    pSetm(p);
    res->data=(char *)p;
  }
  else
  {
    Werror("var number %d out of range 1..%d",i,currRing->N);
    return TRUE;
  }
  return FALSE;
}
static BOOLEAN jjVARSTR1(leftv res, leftv v)
{
  if (currRing==NULL)
  {
    WerrorS("no ring active (2)");
    return TRUE;
  }
  int i=(int)(long)v->Data();
  if ((0<i) && (i<=currRing->N))
    res->data=omStrDup(currRing->names[i-1]);
  else
  {
    Werror("var number %d out of range 1..%d",i,currRing->N);
    return TRUE;
  }
  return FALSE;
}
static BOOLEAN jjVDIM(leftv res, leftv v)
{
  assumeStdFlag(v);
  res->data = (char *)(long)scMult0Int((ideal)v->Data(),currRing->qideal);
  return FALSE;
}
BOOLEAN jjWAIT1ST1(leftv res, leftv u)
{
// input: u: a list with links of type
//           ssi-fork, ssi-tcp, MPtcp-fork or MPtcp-launch
// returns: -1:  the read state of all links is eof
//          i>0: (at least) u[i] is ready
  lists Lforks = (lists)u->Data();
  int i = slStatusSsiL(Lforks, -1);
  if(i == -2) /* error */
  {
    return TRUE;
  }
  res->data = (void*)(long)i;
  return FALSE;
}
BOOLEAN jjWAITALL1(leftv res, leftv u)
{
// input: u: a list with links of type
//           ssi-fork, ssi-tcp, MPtcp-fork or MPtcp-launch
// returns: -1: the read state of all links is eof
//           1: all links are ready
//              (caution: at least one is ready, but some maybe dead)
  lists Lforks = (lists)u->CopyD();
  int i;
  int j = -1;
  for(int nfinished = 0; nfinished < Lforks->nr+1; nfinished++)
  {
    i = slStatusSsiL(Lforks, -1);
    if(i == -2) /* error */
    {
      return TRUE;
    }
    if(i == -1)
    {
      break;
    }
    j = 1;
    Lforks->m[i-1].CleanUp();
    Lforks->m[i-1].rtyp=DEF_CMD;
    Lforks->m[i-1].data=NULL;
  }
  res->data = (void*)(long)j;
  Lforks->Clean();
  return FALSE;
}

BOOLEAN jjLOAD(const char *s, BOOLEAN autoexport)
{
  char libnamebuf[1024];
  lib_types LT = type_of_LIB(s, libnamebuf);

#ifdef HAVE_DYNAMIC_LOADING
  extern BOOLEAN load_modules(const char *newlib, char *fullpath, BOOLEAN autoexport);
#endif /* HAVE_DYNAMIC_LOADING */
  switch(LT)
  {
      default:
      case LT_NONE:
        Werror("%s: unknown type", s);
        break;
      case LT_NOTFOUND:
        Werror("cannot open %s", s);
        break;

      case LT_SINGULAR:
      {
        char *plib = iiConvName(s);
        idhdl pl = IDROOT->get_level(plib,0);
        if (pl==NULL)
        {
          pl = enterid( plib,0, PACKAGE_CMD, &(basePack->idroot), TRUE );
          IDPACKAGE(pl)->language = LANG_SINGULAR;
          IDPACKAGE(pl)->libname=omStrDup(s);
        }
        else if (IDTYP(pl)!=PACKAGE_CMD)
        {
          Werror("can not create package `%s`",plib);
          omFree(plib);
          return TRUE;
        }
        else /* package */
        {
          package pa=IDPACKAGE(pl);
          if ((pa->language==LANG_C)
          || (pa->language==LANG_MIX))
          {
            Werror("can not create package `%s` - binaries  exists",plib);
            omfree(plib);
            return TRUE;
          }
        }
        omFree(plib);
        package savepack=currPack;
        currPack=IDPACKAGE(pl);
        IDPACKAGE(pl)->loaded=TRUE;
        char libnamebuf[1024];
        FILE * fp = feFopen( s, "r", libnamebuf, TRUE );
        BOOLEAN bo=iiLoadLIB(fp, libnamebuf, s, pl, autoexport, TRUE);
        currPack=savepack;
        IDPACKAGE(pl)->loaded=(!bo);
        return bo;
      }
      case LT_BUILTIN:
        SModulFunc_t iiGetBuiltinModInit(const char*);
        return load_builtin(s,autoexport, iiGetBuiltinModInit(s));
      case LT_MACH_O:
      case LT_ELF:
      case LT_HPUX:
#ifdef HAVE_DYNAMIC_LOADING
        return load_modules(s, libnamebuf, autoexport);
#else /* HAVE_DYNAMIC_LOADING */
        WerrorS("Dynamic modules are not supported by this version of Singular");
        break;
#endif /* HAVE_DYNAMIC_LOADING */
  }
  return TRUE;
}
STATIC_VAR int WerrorS_dummy_cnt=0;
static void WerrorS_dummy(const char *)
{
  WerrorS_dummy_cnt++;
}
BOOLEAN jjLOAD_TRY(const char *s)
{
  if (!iiGetLibStatus(s))
  {
    void (*WerrorS_save)(const char *s) = WerrorS_callback;
    WerrorS_callback=WerrorS_dummy;
    WerrorS_dummy_cnt=0;
    BOOLEAN bo=jjLOAD(s,TRUE);
    if (TEST_OPT_PROT && (bo || (WerrorS_dummy_cnt>0)))
      Print("loading of >%s< failed\n",s);
    WerrorS_callback=WerrorS_save;
    errorreported=0;
  }
  return FALSE;
}

static BOOLEAN jjstrlen(leftv res, leftv v)
{
  res->data = (char *)strlen((char *)v->Data());
  return FALSE;
}
static BOOLEAN jjpLength(leftv res, leftv v)
{
  res->data = (char *)(long)pLength((poly)v->Data());
  return FALSE;
}
static BOOLEAN jjidElem(leftv res, leftv v)
{
  res->data = (char *)(long)idElem((ideal)v->Data());
  return FALSE;
}
static BOOLEAN jjidFreeModule(leftv res, leftv v)
{
  res->data = (char *)id_FreeModule((int)(long)v->Data(), currRing);
  return FALSE;
}
static BOOLEAN jjidVec2Ideal(leftv res, leftv v)
{
  res->data = (char *)id_Vec2Ideal((poly)v->Data(), currRing);
  return FALSE;
}
static BOOLEAN jjrCharStr(leftv res, leftv v)
{
  res->data = rCharStr((ring)v->Data());
  return FALSE;
}
static BOOLEAN jjpHead(leftv res, leftv v)
{
  res->data = (char *)pHead((poly)v->Data());
  return FALSE;
}
static BOOLEAN jjidHead(leftv res, leftv v)
{
  res->data = (char *)id_Head((ideal)v->Data(),currRing);
  setFlag(res,FLAG_STD);
  return FALSE;
}
static BOOLEAN jjidMinBase(leftv res, leftv v)
{
  res->data = (char *)idMinBase((ideal)v->Data());
  return FALSE;
}
#if 0 // unused
static BOOLEAN jjsyMinBase(leftv res, leftv v)
{
  res->data = (char *)syMinBase((ideal)v->Data());
  return FALSE;
}
#endif
static BOOLEAN jjpMaxComp(leftv res, leftv v)
{
  res->data = (char *)pMaxComp((poly)v->Data());
  return FALSE;
}
static BOOLEAN jjmpTrace(leftv res, leftv v)
{
  res->data = (char *)mp_Trace((matrix)v->Data(),currRing);
  return FALSE;
}
static BOOLEAN jjmpTransp(leftv res, leftv v)
{
  res->data = (char *)mp_Transp((matrix)v->Data(),currRing);
  return FALSE;
}
static BOOLEAN jjrOrdStr(leftv res, leftv v)
{
  res->data = rOrdStr((ring)v->Data());
  return FALSE;
}
static BOOLEAN jjrVarStr(leftv res, leftv v)
{
  res->data = rVarStr((ring)v->Data());
  return FALSE;
}
static BOOLEAN jjrParStr(leftv res, leftv v)
{
  res->data = rParStr((ring)v->Data());
  return FALSE;
}
static BOOLEAN jjCOUNT_RES(leftv res, leftv v)
{
  res->data=(char *)(long)sySize((syStrategy)v->Data());
  return FALSE;
}
static BOOLEAN jjDIM_R(leftv res, leftv v)
{
  res->data = (char *)(long)syDim((syStrategy)v->Data());
  return FALSE;
}
static BOOLEAN jjidTransp(leftv res, leftv v)
{
  res->data = (char *)id_Transp((ideal)v->Data(),currRing);
  return FALSE;
}
static BOOLEAN jjnInt(leftv res, leftv u)
{
  number n=(number)u->CopyD(); // n_Int may call n_Normalize
  res->data=(char *)(long)iin_Int(n,currRing->cf);
  n_Delete(&n,currRing->cf);
  return FALSE;
}
static BOOLEAN jjnlInt(leftv res, leftv u)
{
  number n=(number)u->Data();
  res->data=(char *)(long)iin_Int(n,coeffs_BIGINT );
  return FALSE;
}
/*=================== operations with 3 args.: static proc =================*/
/* must be ordered: first operations for chars (infix ops),
 * then alphabetically */
static BOOLEAN jjBRACK_S(leftv res, leftv u, leftv v,leftv w)
{
  char *s= (char *)u->Data();
  int   r = (int)(long)v->Data();
  int   c = (int)(long)w->Data();
  int l = strlen(s);

  if ( (r<1) || (r>l) || (c<0) )
  {
    Werror("wrong range[%d,%d] in string %s",r,c,u->Fullname());
    return TRUE;
  }
  res->data = (char *)omAlloc((long)(c+1));
  sprintf((char *)res->data,"%-*.*s",c,c,s+r-1);
  return FALSE;
}
static BOOLEAN jjBRACK_Im(leftv res, leftv u, leftv v,leftv w)
{
  intvec *iv = (intvec *)u->Data();
  int   r = (int)(long)v->Data();
  int   c = (int)(long)w->Data();
  if ((r<1)||(r>iv->rows())||(c<1)||(c>iv->cols()))
  {
    Werror("wrong range[%d,%d] in intmat %s(%d x %d)",
           r,c,u->Fullname(),iv->rows(),iv->cols());
    return TRUE;
  }
  res->data=u->data; u->data=NULL;
  res->rtyp=u->rtyp; u->rtyp=0;
  res->name=u->name; u->name=NULL;
  Subexpr e=jjMakeSub(v);
          e->next=jjMakeSub(w);
  if (u->e==NULL) res->e=e;
  else
  {
    Subexpr h=u->e;
    while (h->next!=NULL) h=h->next;
    h->next=e;
    res->e=u->e;
    u->e=NULL;
  }
  return FALSE;
}
static BOOLEAN jjBRACK_Bim(leftv res, leftv u, leftv v, leftv w)
{
  bigintmat *bim = (bigintmat *)u->Data();
  int   r = (int)(long)v->Data();
  int   c = (int)(long)w->Data();
  if ((r<1)||(r>bim->rows())||(c<1)||(c>bim->cols()))
  {
    Werror("wrong range[%d,%d] in bigintmat %s(%d x %d)",
           r,c,u->Fullname(),bim->rows(),bim->cols());
    return TRUE;
  }
  res->data=u->data; u->data=NULL;
  res->rtyp=u->rtyp; u->rtyp=0;
  res->name=u->name; u->name=NULL;
  Subexpr e=jjMakeSub(v);
          e->next=jjMakeSub(w);
  if (u->e==NULL)
    res->e=e;
  else
  {
    Subexpr h=u->e;
    while (h->next!=NULL) h=h->next;
    h->next=e;
    res->e=u->e;
    u->e=NULL;
  }
  return FALSE;
}
static BOOLEAN jjBRACK_Ma