Exemple #1
0
/****************************************************************************
**
*F  FuncAddRowVectorVecFFEs( <self>, <vecL>, <vecR> )
**
*/
Obj FuncAddRowVectorVecFFEs( Obj self, Obj vecL, Obj vecR )
{
    Obj *ptrL;
    Obj *ptrR;
    FFV  valS;
    FFV  valL;
    FFV  valR;
    FF  fld;
    FFV *succ;
    UInt len;
    UInt xtype;
    UInt i;

    xtype = KTNumPlist(vecL, (Obj *) 0);
    if (xtype != T_PLIST_FFE && xtype != T_PLIST_FFE + IMMUTABLE)
        return TRY_NEXT_METHOD;

    xtype = KTNumPlist(vecR, (Obj *) 0);
    if (xtype != T_PLIST_FFE && xtype != T_PLIST_FFE + IMMUTABLE)
        return TRY_NEXT_METHOD;

    /* check the lengths                                                   */
    len = LEN_PLIST(vecL);
    if (len != LEN_PLIST(vecR)) {
        vecR = ErrorReturnObj(
            "Vector *: vector lengths differ <left> %d,  <right> %d",
            (Int)len, (Int)LEN_PLIST(vecR),
            "you can replace vector <right> via 'return <right>;'");
        return CALL_2ARGS(AddRowVectorOp, vecL, vecR);
    }

    /* check the fields                                                    */
    fld = FLD_FFE(ELM_PLIST(vecL, 1));
    if (FLD_FFE(ELM_PLIST(vecR, 1)) != fld) {
        /* check the characteristic                                        */
        if (CHAR_FF(fld) == CHAR_FF(FLD_FFE(ELM_PLIST(vecR, 1))))
            return TRY_NEXT_METHOD;

        vecR = ErrorReturnObj(
            "AddRowVector: vectors have different fields",
            0L, 0L,
            "you can replace vector <right> via 'return <right>;'");
        return CALL_2ARGS(AddRowVectorOp, vecL, vecR);
    }

    succ = SUCC_FF(fld);
    ptrL = ADDR_OBJ(vecL);
    ptrR = ADDR_OBJ(vecR);

    for (i = 1; i <= len; i++) {
        valL = VAL_FFE(ptrL[i]);
        valR = VAL_FFE(ptrR[i]);
        valS = SUM_FFV(valL, valR, succ);
        ptrL[i] = NEW_FFE(fld, valS);
    }
    return (Obj) 0;
}
Exemple #2
0
/****************************************************************************
**
*F  FuncLIST_SORTED_LIST( <self>, <list> )  . . . . .  make a set from a list
**
**  'FuncLIST_SORTED_LIST' implements the internal function 'SetList'.
**
**  'SetList( <list> )'
**
**  'SetList' returns a new proper set, which is represented as a sorted list
**  without holes or duplicates, containing the elements of the list <list>.
**
**  'SetList' returns a new list even if the list <list> is already a  proper
**  set, in this case it is equivalent to 'ShallowCopy' (see  "ShallowCopy").
*/
Obj FuncLIST_SORTED_LIST (
    Obj                 self,
    Obj                 list )
{
    Obj                 set;            /* result                          */

    /* check the argument                                                  */
    while ( ! IS_SMALL_LIST( list ) ) {
        list = ErrorReturnObj(
            "Set: <list> must be a small list (not a %s)",
            (Int)TNAM_OBJ(list), 0L,
            "you can replace <list> via 'return <list>;'" );
    }

    /* if the list is empty create a new empty list                        */
    if ( LEN_LIST(list) == 0 ) {
        set = NEW_PLIST( T_PLIST_EMPTY, 0 );
    }

    /* if <list> is a set just shallow copy it                             */
    else if ( /* IS_HOMOG_LIST(list) && */ IS_SSORT_LIST(list) ) {
        set = SHALLOW_COPY_OBJ( list );
    }

    /* otherwise let 'SetList' do the work                                 */
    else {
        set = SetList( list );
    }

    /* return the set                                                      */
    return set;
}
Exemple #3
0
static void UnbRecError(Obj rec, UInt rnam)
{
    rec = ErrorReturnObj(
        "Record Unbind: <rec> must be a record (not a %s)",
        (Int)TNAM_OBJ(rec), 0L,
        "you can replace <rec> via 'return <rec>;'" );
    UNB_REC( rec, rnam );
}
Exemple #4
0
static void AssRecError(Obj rec, UInt rnam, Obj obj)
{
    rec = ErrorReturnObj(
        "Record Assignment: <rec> must be a record (not a %s)",
        (Int)TNAM_OBJ(rec), 0L,
        "you can replace <rec> via 'return <rec>;'" );
    ASS_REC( rec, rnam, obj );
}
Exemple #5
0
static Int IsbRecError(Obj rec, UInt rnam)
{
    rec = ErrorReturnObj(
        "Record IsBound: <rec> must be a record (not a %s)",
        (Int)TNAM_OBJ(rec), 0L,
        "you can replace <rec> via 'return <rec>;'" );
    return ISB_REC( rec, rnam );
}
Exemple #6
0
static Obj ElmRecError(Obj rec, UInt rnam)
{
    rec = ErrorReturnObj(
        "Record Element: <rec> must be a record (not a %s)",
        (Int)TNAM_OBJ(rec), 0L,
        "you can replace <rec> via 'return <rec>;'" );
    return ELM_REC( rec, rnam );
}
Exemple #7
0
Obj FuncIS_BLOCKED_IOSTREAM( Obj self, Obj stream )
{
  UInt pty = INT_INTOBJ(stream);
  while (!PtyIOStreams[pty].inuse)
    pty = INT_INTOBJ(ErrorReturnObj("IOSTREAM %d is not in use",pty,0L,
                                    "you can replace stream number <num> via 'return <num>;'"));
  return (PtyIOStreams[pty].blocked || PtyIOStreams[pty].changed || !PtyIOStreams[pty].alive) ? True : False;
}
Exemple #8
0
Obj FuncFD_OF_IOSTREAM( Obj self, Obj stream )
{
  UInt pty = INT_INTOBJ(stream);
  while (!PtyIOStreams[pty].inuse)
    pty = INT_INTOBJ(ErrorReturnObj("IOSTREAM %d is not in use",pty,0L,
                                    "you can replace stream number <num> via 'return <num>;'"));
  return INTOBJ_INT(PtyIOStreams[pty].ptyFD);
}
Exemple #9
0
Obj FuncWRITE_IOSTREAM( Obj self, Obj stream, Obj string, Obj len )
{
  UInt pty = INT_INTOBJ(stream);
  ConvString(string);
  while (!PtyIOStreams[pty].inuse)
    pty = INT_INTOBJ(ErrorReturnObj("IOSTREAM %d is not in use",pty,0L,
                                    "you can replace stream number <num> via 'return <num>;'"));
  HandleChildStatusChanges(pty);
  return INTOBJ_INT(WriteToPty(pty, CSTR_STRING(string), INT_INTOBJ(len)));
}
Exemple #10
0
static Obj ElmRecObject(Obj obj, UInt rnam)
{
  Obj elm;
  elm = DoOperation2Args( ElmRecOper, obj, INTOBJ_INT(rnam) );
  while (elm == 0)
    elm =  ErrorReturnObj("Record access method must return a value",0L,0L,
                          "you can supply a value <val> via 'return <val>;'");
  return elm;

}
Exemple #11
0
Obj FuncSIGNAL_CHILD_IOSTREAM( Obj self, Obj stream , Obj sig)
{
  UInt pty = INT_INTOBJ(stream);
  while (!PtyIOStreams[pty].inuse)
    pty = INT_INTOBJ(ErrorReturnObj("IOSTREAM %d is not in use",pty,0L,
                                    "you can replace stream number <num> via 'return <num>;'"));
  /* Don't check for child having changes status */
  SignalChild( pty, INT_INTOBJ(sig) );
  return 0;
}
Exemple #12
0
static Obj MPD_STRING(Obj self, Obj s, Obj prec)
{
  while (!IsStringConv(s))
    {
      s = ErrorReturnObj("MPD_STRING: object to be converted must be a string, not a %s",
			 (Int)TNAM_OBJ(s),0,
			 "You can return a string to continue" );
    }
  TEST_IS_INTOBJ("MPD_STRING",prec);
  int n = INT_INTOBJ(prec);
  if (n == 0)
    n = GET_LEN_STRING(s)*1000 / 301;

  Obj g = NEW_MPD(INT_INTOBJ(prec));
  char *p = (char *) CHARS_STRING(s), *newp;
  int sign = 1;
  mpd_set_ui(MPD_OBJ(g), 0, MPD_RNDNN);
  mpfr_ptr f = MPD_OBJ(g)->re;
  Obj newg = NEW_MPFR(INT_INTOBJ(prec));

  for (;;) {
    printf("<%c>",*p);
    switch (*p) {
    case '-':
    case '+':
    case 0:
      if (!mpfr_nan_p(MPFR_OBJ(newg))) { /* drop the last read float */
	mpfr_add (f, f, MPFR_OBJ(newg), GMP_RNDN);
	mpfr_set_nan (MPFR_OBJ(newg));
	f = MPD_OBJ(g)->re;
	sign = 1;
      }
      if (!*p)
	return g;
      if (*p == '-')
	sign = -sign;
    case '*': p++; break;
    case 'i':
    case 'I': if (f == GET_MPD(g)->re) {
	f = MPD_OBJ(g)->im;
	if (mpfr_nan_p(MPFR_OBJ(newg)))
	  mpfr_set_si (MPFR_OBJ(newg), sign, GMP_RNDN); /* accept 'i' as '1*i' */
      } else return Fail;
      p++; break;
    default:
      mpfr_strtofr(MPFR_OBJ(newg), p, &newp, 10, GMP_RNDN);
      if (newp == p && f != GET_MPD(g)->im)
	return Fail; /* no valid characters read */
      if (sign == -1)
	mpfr_neg(MPFR_OBJ(newg), MPFR_OBJ(newg), GMP_RNDN);
      p = newp;
    }
  }
  return g;
}
Exemple #13
0
/****************************************************************************
**
*F  DiffVecFFEFFE(<vecL>,<elmR>)   difference of a vector and a fin field elm
**
**  'DiffVecFFEFFE' returns   the  difference of the  vector  <vecL>  and the
**  finite field element <elmR>.  The difference   is a list,   where each
**  element  is the difference of <elmR> and the corresponding element of
**  <vecL>. 
**
**  'DiffVecFFEFFE' is an improved  version of 'DiffListScl', which  does not
**  call 'DIFF'.
*/
Obj             DiffVecFFEFFE (
    Obj                 vecL,
    Obj                 elmR )
{
    Obj                 vecD;           /* handle of the difference        */
    Obj *               ptrD;           /* pointer into the difference     */
    FFV                 valD;           /* the value of a difference       */
    Obj *               ptrL;           /* pointer into the left operand   */
    FFV                 valL;           /* the value of an element in vecL */
    UInt                len;            /* length                          */
    UInt                i;              /* loop variable                   */
    FF                  fld;            /* finite field                    */
    FF *                succ;           /* successor table                 */
    FFV                 valR;           /* the value of elmR               */

    /* get the field and check that vecL and elmR have the same field      */
    fld = FLD_FFE(ELM_PLIST(vecL, 1));
    if (FLD_FFE(elmR) != fld) {
        /* check the characteristic                                        */
        if (CHAR_FF(fld) == CHAR_FF(FLD_FFE(elmR)))
            return DiffListScl(vecL, elmR);

        elmR = ErrorReturnObj(
            "<vec>-<elm>: <elm> and <vec> must belong to the same finite field",
            0L, 0L, "you can replace <elm> via 'return <elm>;'");
        return DIFF(vecL, elmR);
    }

    /* make the result list                                                */
    len = LEN_PLIST(vecL);
    vecD = NEW_PLIST(IS_MUTABLE_OBJ(vecL) ?
                T_PLIST_FFE : T_PLIST_FFE + IMMUTABLE, len);
    SET_LEN_PLIST(vecD, len);

    /* to subtract we need the successor table                             */
    succ = SUCC_FF(fld);

    /* loop over the elements and subtract                                 */
    valR = VAL_FFE(elmR);
    valR = NEG_FFV(valR, succ);
    ptrL = ADDR_OBJ(vecL);
    ptrD = ADDR_OBJ(vecD);
    for (i = 1; i <= len; i++) {
        valL = VAL_FFE(ptrL[i]);
        valD = SUM_FFV(valL, valR, succ);
        ptrD[i] = NEW_FFE(fld, valD);
    }

    /* return the result                                                   */
    return vecD;
}
Exemple #14
0
/****************************************************************************
**
*F  ProdVecFFEVecFFE(<vecL>,<vecR>) . . . . . . . . .  product of two vectors
**
**  'ProdVecFFEVecFFE'  returns the product  of   the two vectors <vecL>  and
**  <vecR>.  The  product  is the  sum of the   products of the corresponding
**  elements of the two lists.
**
**  'ProdVecFFEVecFFE' is an improved version  of 'ProdListList',  which does
**  not call 'PROD'.
*/
Obj             ProdVecFFEVecFFE (
    Obj                 vecL,
    Obj                 vecR )
{
    FFV                 valP;           /* one product                     */
    FFV                 valS;           /* sum of the products             */
    Obj *               ptrL;           /* pointer into the left operand   */
    FFV                 valL;           /* one element of left operand     */
    Obj *               ptrR;           /* pointer into the right operand  */
    FFV                 valR;           /* one element of right operand    */
    UInt                lenL, lenR, len; /* length                          */
    UInt                i;              /* loop variable                   */
    FF                  fld;            /* finite field                    */
    FF *                succ;           /* successor table                 */

    /* check the lengths                                                   */
    lenL = LEN_PLIST(vecL);
    lenR = LEN_PLIST(vecR);
    len = (lenL < lenR) ? lenL : lenR;

    /* check the fields                                                    */
    fld = FLD_FFE(ELM_PLIST(vecL, 1));
    if (FLD_FFE(ELM_PLIST(vecR, 1)) != fld) {
        /* check the characteristic                                        */
        if (CHAR_FF(fld) == CHAR_FF(FLD_FFE(ELM_PLIST(vecR, 1))))
            return ProdListList(vecL, vecR);

        vecR = ErrorReturnObj(
            "Vector *: vectors have different fields",
            0L, 0L,
            "you can replace vector <right> via 'return <right>;'");
        return PROD(vecL, vecR);
    }

    /* to add we need the successor table                                  */
    succ = SUCC_FF(fld);

    /* loop over the elements and add                                      */
    valS = (FFV)0;
    ptrL = ADDR_OBJ(vecL);
    ptrR = ADDR_OBJ(vecR);
    for (i = 1; i <= len; i++) {
        valL = VAL_FFE(ptrL[i]);
        valR = VAL_FFE(ptrR[i]);
        valP = PROD_FFV(valL, valR, succ);
        valS = SUM_FFV(valS, valP, succ);
    }

    /* return the result                                                   */
    return NEW_FFE(fld, valS);
}
Exemple #15
0
/****************************************************************************
**
*F  SumFFEVecFFE(<elmL>,<vecR>) . . . .  sum of an fin field elm and a vector
**
**  'SumFFEVecFFE' returns the sum of the fin field elm <elmL> and the vector
**  <vecR>.  The sum is a  list, where each element is  the sum of <elmL> and
**  the corresponding element of <vecR>.
**
**  'SumFFEVecFFE' is an improved version  of  'SumSclList', which  does  not
**  call 'SUM'.
*/
Obj             SumFFEVecFFE (
    Obj                 elmL,
    Obj                 vecR )
{
    Obj                 vecS;           /* handle of the sum               */
    Obj *               ptrS;           /* pointer into the sum            */
    FFV                 valS;           /* the value of a sum              */
    Obj *               ptrR;           /* pointer into the right operand  */
    FFV                 valR;           /* the value of an element in vecR */
    UInt                len;            /* length                          */
    UInt                i;              /* loop variable                   */
    FF                  fld;            /* finite field                    */
    FF *                succ;           /* successor table                 */
    FFV                 valL;           /* the value of elmL               */

    /* get the field and check that elmL and vecR have the same field      */
    fld = FLD_FFE(ELM_PLIST(vecR, 1));
    if (FLD_FFE(elmL) != fld) {
        /* check the characteristic                                          */
        if (CHAR_FF(fld) == CHAR_FF(FLD_FFE(elmL)))
            return SumSclList(elmL, vecR);

        elmL = ErrorReturnObj(
            "<elm>+<vec>: <elm> and <vec> must belong to the same finite field",
            0L, 0L, "you can replace <elm> via 'return <elm>;'");
        return SUM(elmL, vecR);
    }

    /* make the result list                                                */
    len = LEN_PLIST(vecR);
    vecS = NEW_PLIST(IS_MUTABLE_OBJ(vecR) ?
                T_PLIST_FFE : T_PLIST_FFE + IMMUTABLE, len);
    SET_LEN_PLIST(vecS, len);

    /* to add we need the successor table                                  */
    succ = SUCC_FF(fld);

    /* loop over the elements and add                                      */
    valL = VAL_FFE(elmL);
    ptrR = ADDR_OBJ(vecR);
    ptrS = ADDR_OBJ(vecS);
    for (i = 1; i <= len; i++) {
        valR = VAL_FFE(ptrR[i]);
        valS = SUM_FFV(valL, valR, succ);
        ptrS[i] = NEW_FFE(fld, valS);
    }

    /* return the result                                                   */
    return vecS;
}
Exemple #16
0
Obj             FuncIS_EQUAL_SET (
    Obj                 self,
    Obj                 list1,
    Obj                 list2 )
{
    /* check the arguments, convert to sets if necessary                   */
    while ( ! IS_SMALL_LIST(list1) ) {
        list1 = ErrorReturnObj(
            "IsEqualSet: <list1> must be a small list (not a %s)",
            (Int)TNAM_OBJ(list1), 0L,
            "you can replace <list1> via 'return <list1>;'" );
    }
    if ( ! IsSet( list1 ) )  list1 = SetList( list1 );
    while ( ! IS_SMALL_LIST(list2) ) {
        list2 = ErrorReturnObj(
            "IsEqualSet: <list2> must be a small list (not a %s)",
            (Int)TNAM_OBJ(list2), 0L,
            "you can replace <list2> via 'return <list2>;'" );
    }
    if ( ! IsSet( list2 ) )  list2 = SetList( list2 );

    /* and now compare them                                                */
    return (EqSet( list1, list2 ) ? True : False );
}
Exemple #17
0
Obj FuncMACFLOAT_STRING( Obj self, Obj s )
{

    while (!IsStringConv(s))
    {
        s = ErrorReturnObj("MACFLOAT_STRING: object to be converted must be a string not a %s",
                           (Int)(InfoBags[TNUM_OBJ(s)].name),0,"You can return a string to continue" );
    }
    char * endptr;
    UChar *sp = CHARS_STRING(s);
    Obj res= NEW_MACFLOAT((Double) STRTOD((char *)sp,&endptr));
    if ((UChar *)endptr != sp + GET_LEN_STRING(s))
        return Fail;
    return res;
}
Exemple #18
0
/****************************************************************************
**
*F  FuncNameRNam(<self>,<rnam>)  . . . . convert a record name to a string
**
**  'FuncNameRNam' implements the internal function 'NameRName'.
**
**  'NameRName( <rnam> )'
**
**  'NameRName' returns the string corresponding to the record name <rnam>.
*/
static Obj FuncNameRNam(Obj self, Obj rnam)
{
    Obj                 name;
    Obj                 oname;
    const UInt          countRNam = LEN_PLIST(NamesRNam);
    while ( ! IS_INTOBJ(rnam)
         || INT_INTOBJ(rnam) <= 0
        || countRNam < INT_INTOBJ(rnam) ) {
        rnam = ErrorReturnObj(
            "NameRName: <rnam> must be a record name (not a %s)",
            (Int)TNAM_OBJ(rnam), 0L,
            "you can replace <rnam> via 'return <rnam>;'" );
    }
    oname = NAME_RNAM( INT_INTOBJ(rnam) );
    name = CopyToStringRep(oname);
    return name;
}
Exemple #19
0
Obj FuncREAD_IOSTREAM_NOWAIT(Obj self, Obj stream, Obj len)
{
  Obj string;
  UInt pty = INT_INTOBJ(stream);
  Int ret;
  string = NEW_STRING(INT_INTOBJ(len));
  while (!PtyIOStreams[pty].inuse)
    pty = INT_INTOBJ(ErrorReturnObj("IOSTREAM %d is not in use",pty,0L,
                                    "you can replace stream number <num> via 'return <num>;'"));
  /* HandleChildStatusChanges(pty);   Omit this to allow picking up "trailing" bytes*/
  ret = ReadFromPty2(pty, CSTR_STRING(string), INT_INTOBJ(len), 0);
  if (ret == -1)
    return Fail;
  SET_LEN_STRING(string, ret);
  ResizeBag(string, SIZEBAG_STRINGLEN(ret));
  return string;
}
Exemple #20
0
Obj             NameRNamHandler (
    Obj                 self,
    Obj                 rnam )
{
    Obj                 name;
    Char                *cname;
    while ( ! IS_INTOBJ(rnam)
         || INT_INTOBJ(rnam) <= 0
        || CountRNam < INT_INTOBJ(rnam) ) {
        rnam = ErrorReturnObj(
            "NameRName: <rnam> must be a record name (not a %s)",
            (Int)TNAM_OBJ(rnam), 0L,
            "you can replace <rnam> via 'return <rnam>;'" );
    }
    cname = NAME_RNAM( INT_INTOBJ(rnam) );
    C_NEW_STRING_DYN( name, cname);
    return name;
}
Exemple #21
0
Obj FuncCLOSE_PTY_IOSTREAM( Obj self, Obj stream )
{
  UInt pty = INT_INTOBJ(stream);
  int status;
  int retcode;
/*UInt count; */
  while (!PtyIOStreams[pty].inuse)
    pty = INT_INTOBJ(ErrorReturnObj("IOSTREAM %d is not in use",pty,0L,
                                    "you can replace stream number <num> via 'return <num>;'"));

  PtyIOStreams[pty].inuse = 0;
  
  /* Close down the child */
  retcode = close(PtyIOStreams[pty].ptyFD);
  if (retcode)
    Pr("Strange close return code %d\n",retcode, 0);
  kill(PtyIOStreams[pty].childPID, SIGTERM);
  retcode = waitpid(PtyIOStreams[pty].childPID, &status, 0);
  FreeStream(pty);
  return 0;
}
Exemple #22
0
/****************************************************************************
**
*F  RNamObj(<obj>)  . . . . . . . . . . .  convert an object to a record name
**
**  'RNamObj' returns the record name  corresponding  to  the  object  <obj>,
**  which currently must be a string or an integer.
*/
UInt            RNamObj (
    Obj                 obj )
{
    /* convert integer object                                              */
    if ( IS_INTOBJ(obj) ) {
        return RNamIntg( INT_INTOBJ(obj) );
    }

    /* convert string object (empty string may have type T_PLIST)          */
    else if ( IsStringConv(obj) && IS_STRING_REP(obj) ) {
        return RNamName( CSTR_STRING(obj) );
    }

    /* otherwise fail                                                      */
    else {
        obj = ErrorReturnObj(
            "Record: '<rec>.(<obj>)' <obj> must be a string or an integer",
            0L, 0L,
            "you can replace <obj> via 'return <obj>;'" );
        return RNamObj( obj );
    }
}
Exemple #23
0
Obj FuncMultRowVectorVecFFEs( Obj self, Obj vec, Obj mult )
{
    Obj *ptr;
    FFV  valM;
    FFV  valS;
    FFV  val;
    FF  fld;
    FFV *succ;
    UInt len;
    UInt xtype;
    UInt i;

    if (TNUM_OBJ(mult) != T_FFE)
        return TRY_NEXT_METHOD;

    if (VAL_FFE(mult) == 1)
        return (Obj) 0;

    xtype = KTNumPlist(vec, (Obj *) 0);
    if (xtype != T_PLIST_FFE &&
    xtype != T_PLIST_FFE + IMMUTABLE)
        return TRY_NEXT_METHOD;

    /* check the lengths                                                   */
    len = LEN_PLIST(vec);

    fld = FLD_FFE(ELM_PLIST(vec, 1));
    /* Now check the multiplier field */
    if (FLD_FFE(mult) != fld) {
        /* check the characteristic                                        */
        if (CHAR_FF(fld) != CHAR_FF(FLD_FFE(mult))) {
            mult = ErrorReturnObj(
                "MultRowVector: <multiplier> has different field",
                0L, 0L,
                "you can replace <multiplier> via 'return <multiplier>;'");
            return CALL_2ARGS(MultRowVectorOp, vec, mult);
        }

        /* if the multiplier is over a non subfield then redispatch */
        if ((DEGR_FF(fld) % DegreeFFE(mult)) != 0)
            return TRY_NEXT_METHOD;

        /* otherwise it's a subfield, so promote it */
        valM = VAL_FFE(mult);
        if (valM != 0)
            valM = 1 + (valM - 1) * (SIZE_FF(fld) - 1) / (SIZE_FF(FLD_FFE(mult)) - 1);
    } else
        valM = VAL_FFE(mult);


    succ = SUCC_FF(fld);
    ptr = ADDR_OBJ(vec);

    /* two versions of the loop to avoid multipling by 0 */
    if (valM == 0) {
        Obj z;
        z = NEW_FFE(fld, 0);
        for (i = 1; i <= len; i++) {
            ptr[i] = z;
        }
    } else
        for (i = 1; i <= len; i++) {
            val = VAL_FFE(ptr[i]);
            valS = PROD_FFV(val, valM, succ);
            ptr[i] = NEW_FFE(fld, valS);
        }
    return (Obj) 0;
}
Exemple #24
0
Obj FuncAddRowVectorVecFFEsMult( Obj self, Obj vecL, Obj vecR, Obj mult )
{
    Obj *ptrL;
    Obj *ptrR;
    FFV  valM;
    FFV  valS;
    FFV  valL;
    FFV  valR;
    FF  fld;
    FFV *succ;
    UInt len;
    UInt xtype;
    UInt i;

    if (TNUM_OBJ(mult) != T_FFE)
        return TRY_NEXT_METHOD;

    if (VAL_FFE(mult) == 0)
        return (Obj) 0;

    xtype = KTNumPlist(vecL, (Obj *) 0);
    if (xtype != T_PLIST_FFE && xtype != T_PLIST_FFE + IMMUTABLE)
        return TRY_NEXT_METHOD;

    xtype = KTNumPlist(vecR, (Obj *) 0);
    if (xtype != T_PLIST_FFE && xtype != T_PLIST_FFE + IMMUTABLE)
        return TRY_NEXT_METHOD;


    /* check the lengths                                                   */
    len = LEN_PLIST(vecL);
    if (len != LEN_PLIST(vecR)) {
        vecR = ErrorReturnObj(
            "AddRowVector: vector lengths differ <left> %d,  <right> %d",
            (Int)len, (Int)LEN_PLIST(vecR),
            "you can replace vector <right> via 'return <right>;'");
        return CALL_3ARGS(AddRowVectorOp, vecL, vecR, mult);
    }

    /* check the fields                                                    */
    fld = FLD_FFE(ELM_PLIST(vecL, 1));
    if (FLD_FFE(ELM_PLIST(vecR, 1)) != fld) {
        /* check the characteristic                                        */
        if (CHAR_FF(fld) == CHAR_FF(FLD_FFE(ELM_PLIST(vecR, 1))))
            return TRY_NEXT_METHOD;

        vecR = ErrorReturnObj(
            "AddRowVector: vectors have different fields",
            0L, 0L,
            "you can replace vector <right> via 'return <right>;'");
        return CALL_3ARGS(AddRowVectorOp, vecL, vecR, mult);
    }

    /* Now check the multiplier field */
    if (FLD_FFE(mult) != fld) {
        /* check the characteristic                                        */
        if (CHAR_FF(fld) != CHAR_FF(FLD_FFE(mult))) {
            mult = ErrorReturnObj(
                "AddRowVector: <multiplier> has different field",
                0L, 0L,
                "you can replace <multiplier> via 'return <multiplier>;'");
            return CALL_3ARGS(AddRowVectorOp, vecL, vecR, mult);
        }

        /* if the multiplier is over a non subfield then redispatch */
        if ((DEGR_FF(fld) % DegreeFFE(mult)) != 0)
            return TRY_NEXT_METHOD;

        /* otherwise it's a subfield, so promote it */
        valM = VAL_FFE(mult);
        if (valM != 0)
            valM = 1 + (valM - 1) * (SIZE_FF(fld) - 1) / (SIZE_FF(FLD_FFE(mult)) - 1);
    } else
        valM = VAL_FFE(mult);


    succ = SUCC_FF(fld);
    ptrL = ADDR_OBJ(vecL);
    ptrR = ADDR_OBJ(vecR);

    /* two versions of the loop to avoid multipling by 1 */
    if (valM == 1)
        for (i = 1; i <= len; i++) {
            valL = VAL_FFE(ptrL[i]);
            valR = VAL_FFE(ptrR[i]);
            valS = SUM_FFV(valL, valR, succ);
            ptrL[i] = NEW_FFE(fld, valS);
        }
    else
        for (i = 1; i <= len; i++) {
            valL = VAL_FFE(ptrL[i]);
            valR = VAL_FFE(ptrR[i]);
            valS = PROD_FFV(valR, valM, succ);
            valS = SUM_FFV(valL, valS, succ);
            ptrL[i] = NEW_FFE(fld, valS);
        }
    return (Obj) 0;
}
Exemple #25
0
/****************************************************************************
**
*F  DiffVecFFEVecFFE(<vecL>,<vecR>) . . . . . . . . difference of two vectors
**
**  'DiffVecFFEVecFFE'  returns the difference of the  two vectors <vecL> and
**  <vecR>.   The  difference is   a new   list, where  each  element  is the
**  difference of the corresponding elements of <vecL> and <vecR>.
**
**  'DiffVecFFEVecFFE' is an improved  version of  'DiffListList', which does
**  not call 'DIFF'.
*/
Obj             DiffVecFFEVecFFE (
    Obj                 vecL,
    Obj                 vecR )
{
    Obj                 vecD;           /* handle of the difference        */
    Obj *               ptrD;           /* pointer into the difference     */
    FFV                 valD;           /* one element of difference list  */
    Obj *               ptrL;           /* pointer into the left operand   */
    FFV                 valL;           /* one element of left operand     */
    Obj *               ptrR;           /* pointer into the right operand  */
    FFV                 valR;           /* one element of right operand    */
    UInt                len, lenL, lenR; /* length                          */
    UInt                lenmin;
    UInt                i;              /* loop variable                   */
    FF                  fld;            /* finite field                    */
    FF *                succ;           /* successor table                 */

    /* check the lengths                                                   */
    lenL = LEN_PLIST(vecL);
    lenR = LEN_PLIST(vecR);
    if (lenR > lenL) {
        len = lenR;
        lenmin = lenL;
    } else {
        len = lenL;
        lenmin = lenR;
    }

    /* check the fields                                                    */
    fld = FLD_FFE(ELM_PLIST(vecL, 1));
    if (FLD_FFE(ELM_PLIST(vecR, 1)) != fld) {
        /* check the characteristic                                        */
        if (CHAR_FF(fld) == CHAR_FF(FLD_FFE(ELM_PLIST(vecR, 1))))
            return DiffListList(vecL, vecR);

        vecR = ErrorReturnObj(
            "Vector -: vectors have different fields",
            0L, 0L, "you can replace vector <right> via 'return <right>;'");
        return DIFF(vecL, vecR);
    }

    /* make the result list                                                */
    vecD = NEW_PLIST((IS_MUTABLE_OBJ(vecL) || IS_MUTABLE_OBJ(vecR)) ?
                T_PLIST_FFE : T_PLIST_FFE + IMMUTABLE, len);
    SET_LEN_PLIST(vecD, len);

    /* to subtract we need the successor table                             */
    succ = SUCC_FF(fld);

    /* loop over the elements and subtract                                 */
    ptrL = ADDR_OBJ(vecL);
    ptrR = ADDR_OBJ(vecR);
    ptrD = ADDR_OBJ(vecD);
    for (i = 1; i <= lenmin; i++) {
        valL = VAL_FFE(ptrL[i]);
        valR = VAL_FFE(ptrR[i]);
        valR = NEG_FFV(valR, succ);
        valD = SUM_FFV(valL, valR, succ);
        ptrD[i] = NEW_FFE(fld, valD);
    }

    if (lenL < lenR)
        for (; i <= len; i++) {
            valR = VAL_FFE(ptrR[i]);
            valD = NEG_FFV(valR, succ);
            ptrD[i] = NEW_FFE(fld, valD);
        }
    else
        for (; i <= len; i++)
            ptrD[i] = ptrL[i];

    /* return the result                                                   */
    return vecD;
}
Exemple #26
0
/****************************************************************************
**
*F  FuncIS_SUBSET_SET(<self>,<s1>,<s2>) test if a set is a subset of another
**
**  'FuncIS_SUBSET_SET' implements the internal function 'IsSubsetSet'.
**
**  'IsSubsetSet( <set1>, <set2> )'
**
**  'IsSubsetSet' returns 'true'  if the set  <set2> is a  subset of the  set
**  <set1>, that is if every element of <set2>  is also an element of <set1>.
**  Either  argument may also  be a list that is  not a proper  set, in which
**  case 'IsSubsetSet' silently applies 'Set' (see "Set") to it first.
*/
Obj             FuncIS_SUBSET_SET (
    Obj                 self,
    Obj                 set1,
    Obj                 set2 )
{
    UInt                len1;           /* length of  the left  set        */
    UInt                len2;           /* length of  the right set        */
    UInt                i1;             /* index into the left  set        */
    UInt                i2;             /* index into the right set        */
    Obj                 e1;             /* element of left  set            */
    Obj                 e2;             /* element of right set            */
    UInt                pos;            /* position                        */

    /* check the arguments, convert to sets if necessary                   */
    while ( ! IS_SMALL_LIST(set1) ) {
        set1 = ErrorReturnObj(
            "IsSubsetSet: <set1> must be a small list (not a %s)",
            (Int)TNAM_OBJ(set1), 0L,
            "you can replace <set1> via 'return <set1>;'" );
    }
    while ( ! IS_SMALL_LIST(set2) ) {
        set2 = ErrorReturnObj(
            "IsSubsetSet: <set2> must be a small list (not a %s)",
            (Int)TNAM_OBJ(set2), 0L,
            "you can replace <set2> via 'return <set2>;'" );
    }
    if ( ! IsSet( set1 ) )  set1 = SetList( set1 );
    if ( ! IsSet( set2 ) )  set2 = SetList( set2 );

    /* special case if the second argument is a set                        */
    if ( IsSet( set2 ) ) {

        /* get the logical lengths and get the pointer                     */
        len1 = LEN_PLIST( set1 );
        len2 = LEN_PLIST( set2 );
        i1 = 1;
        i2 = 1;

        /* now compare the two sets                                        */
        while ( i1 <= len1 && i2 <= len2 && len2 - i2 <= len1 - i1 ) {
            e1 = ELM_PLIST( set1, i1 );
            e2 = ELM_PLIST( set2, i2 );
            if ( EQ( e1, e2 ) ) {
                i1++;  i2++;
            }
            else if ( LT( e1, e2 ) ) {
                i1++;
            }
            else {
                break;
            }
        }

    }

    /* general case                                                        */
    else {

        /* first convert the other argument into a proper list             */
        PLAIN_LIST( set2 );

        /* get the logical lengths                                         */
        len1 = LEN_PLIST( set1 );
        len2 = LEN_PLIST( set2 );

        /* loop over the second list and look for every element            */
        for ( i2 = 1; i2 <= len2; i2++ ) {

            /* ignore holes                                                */
            if ( ELM_PLIST(set2,i2) == 0 )
                continue;

            /* perform the binary search to find the position              */
            pos = PositionSortedDensePlist( set1, ELM_PLIST(set2,i2) );

            /* test if the element was found at position k                 */
            if ( len1<pos || ! EQ(ELM_PLIST(set1,pos),ELM_PLIST(set2,i2)) ) {
                break;
            }

        }

    }

    /* return 'true' if every element of <set2> appeared in <set1>         */
    return ((i2 == len2 + 1) ? True : False);
}
Exemple #27
0
Obj SCTableEntryHandler (
    Obj                 self,
    Obj                 table,
    Obj                 i,
    Obj                 j,
    Obj                 k )
{
    Obj                 tmp;            /* temporary                       */
    Obj                 basis;          /* basis  list                     */
    Obj                 coeffs;         /* coeffs list                     */
    Int                 dim;            /* dimension                       */
    Int                 len;            /* length of basis/coeffs lists    */
    Int                 l;              /* loop variable                   */

    /* check the table                                                     */
    if ( ! IS_SMALL_LIST(table) ) {
        table = ErrorReturnObj(
            "SCTableEntry: <table> must be a small list (not a %s)",
            (Int)TNAM_OBJ(table), 0L,
            "you can replace <table> via 'return <table>;'" );
        return SCTableEntryHandler( self, table, i, j, k );
    }
    dim = LEN_LIST(table) - 2;
    if ( dim <= 0 ) {
        table = ErrorReturnObj(
            "SCTableEntry: <table> must be a list with at least 3 elements",
            0L, 0L,
            "you can replace <table> via 'return <table>;'" );
        return SCTableEntryHandler( self, table, i, j, k );
    }

    /* check <i>                                                           */
    if ( ! IS_INTOBJ(i) || INT_INTOBJ(i) <= 0 || dim < INT_INTOBJ(i) ) {
        i = ErrorReturnObj(
            "SCTableEntry: <i> must be an integer between 0 and %d",
            dim, 0L,
            "you can replace <i> via 'return <i>;'" );
        return SCTableEntryHandler( self, table, i, j, k );
    }

    /* get and check the relevant row                                      */
    tmp = ELM_LIST( table, INT_INTOBJ(i) );
    if ( ! IS_SMALL_LIST(tmp) || LEN_LIST(tmp) != dim ) {
        table = ErrorReturnObj(
            "SCTableEntry: <table>[%d] must be a list with %d elements",
            INT_INTOBJ(i), dim,
            "you can replace <table> via 'return <table>;'" );
        return SCTableEntryHandler( self, table, i, j, k );

    }

    /* check <j>                                                           */
    if ( ! IS_INTOBJ(j) || INT_INTOBJ(j) <= 0 || dim < INT_INTOBJ(j) ) {
        j = ErrorReturnObj(
            "SCTableEntry: <j> must be an integer between 0 and %d",
            dim, 0L,
            "you can replace <j> via 'return <j>;'" );
        return SCTableEntryHandler( self, table, i, j, k );
    }

    /* get and check the basis and coefficients list                       */
    tmp = ELM_LIST( tmp, INT_INTOBJ(j) );
    if ( ! IS_SMALL_LIST(tmp) || LEN_LIST(tmp) != 2 ) {
        table = ErrorReturnObj(
            "SCTableEntry: <table>[%d][%d] must be a basis/coeffs list",
            0L, 0L,
            "you can replace <table> via 'return <table>;'" );
        return SCTableEntryHandler( self, table, i, j, k );
    }

    /* get and check the basis list                                        */
    basis = ELM_LIST( tmp, 1 );
    if ( ! IS_SMALL_LIST(basis) ) {
        table = ErrorReturnObj(
            "SCTableEntry: <table>[%d][%d][1] must be a basis list",
            0L, 0L,
            "you can replace <table> via 'return <table>;'" );
        return SCTableEntryHandler( self, table, i, j, k );
    }

    /* get and check the coeffs list                                       */
    coeffs = ELM_LIST( tmp, 2 );
    if ( ! IS_SMALL_LIST(coeffs) ) {
        table = ErrorReturnObj(
            "SCTableEntry: <table>[%d][%d][2] must be a coeffs list",
            0L, 0L,
            "you can replace <table> via 'return <table>;'" );
        return SCTableEntryHandler( self, table, i, j, k );
    }

    /* check that they have the same length                                */
    len = LEN_LIST(basis);
    if ( LEN_LIST(coeffs) != len ) {
        table = ErrorReturnObj(
            "SCTableEntry: <table>[%d][%d][1], ~[2] must have equal length",
            0L, 0L,
            "you can replace <table> via 'return <table>;'" );
        return SCTableEntryHandler( self, table, i, j, k );
    }

    /* check <k>                                                           */
    if ( ! IS_INTOBJ(k) || INT_INTOBJ(k) <= 0 || dim < INT_INTOBJ(k) ) {
        k = ErrorReturnObj(
            "SCTableEntry: <k> must be an integer between 0 and %d",
            dim, 0L,
            "you can replace <k> via 'return <k>;'" );
        return SCTableEntryHandler( self, table, i, j, k );
    }

    /* look for the (i,j,k) entry                                          */
    for ( l = 1; l <= len; l++ ) {
        if ( EQ( ELM_LIST( basis, l ), k ) )
            break;
    }

    /* return the coefficient of zero                                      */
    if ( l <= len ) {
        return ELM_LIST( coeffs, l );
    }
    else {
        return ELM_LIST( table, dim+2 );
    }
}
Exemple #28
0
Obj SCTableProductHandler (
    Obj                 self,
    Obj                 table,
    Obj                 list1,
    Obj                 list2 )
{
    Obj                 res;            /* result list                     */
    Obj                 row;            /* one row of sc table             */
    Obj                 zero;           /* zero from sc table              */
    Obj                 ai, aj;         /* elements from list1             */
    Obj                 bi, bj;         /* elements from list2             */
    Obj                 c, c1, c2;      /* products of above               */
    Int                 dim;            /* dimension of vectorspace        */
    Int                 i, j;           /* loop variables                  */

    /* check the arguments a bit                                           */
    if ( ! IS_SMALL_LIST(table) ) {
        table = ErrorReturnObj(
            "SCTableProduct: <table> must be a list (not a %s)",
            (Int)TNAM_OBJ(table), 0L,
            "you can replace <table> via 'return <table>;'" );
        return SCTableProductHandler( self, table, list1, list2 );
    }
    dim = LEN_LIST(table) - 2;
    if ( dim <= 0 ) {
        table = ErrorReturnObj(
            "SCTableProduct: <table> must be a list with at least 3 elements",
            0L, 0L,
            "you can replace <table> via 'return <table>;'" );
        return SCTableProductHandler( self, table, list1, list2 );
    }
    zero = ELM_LIST( table, dim+2 );
    if ( ! IS_SMALL_LIST(list1) || LEN_LIST(list1) != dim ) {
        list1 = ErrorReturnObj(
            "SCTableProduct: <list1> must be a list with %d elements",
            dim, 0L,
            "you can replace <list1> via 'return <list1>;'" );
        return SCTableProductHandler( self, table, list1, list2 );
    }
    if ( ! IS_SMALL_LIST(list2) || LEN_LIST(list2) != dim ) {
        list2 = ErrorReturnObj(
            "SCTableProduct: <list2> must be a list with %d elements",
            dim, 0L,
            "you can replace <list2> via 'return <list2>;'" );
        return SCTableProductHandler( self, table, list1, list2 );
    }

    /* make the result list                                                */
    res = NEW_PLIST( T_PLIST, dim );
    SET_LEN_PLIST( res, dim );
    for ( i = 1; i <= dim; i++ ) {
        SET_ELM_PLIST( res, i, zero );
    }
    CHANGED_BAG( res );

    /* general case                                                        */
    if      ( EQ( ELM_LIST( table, dim+1 ), INTOBJ_INT(0) ) ) {
        for ( i = 1; i <= dim; i++ ) {
            ai = ELM_LIST( list1, i );
            if ( EQ( ai, zero ) )  continue;
            row = ELM_LIST( table, i );
            for ( j = 1; j <= dim; j++ ) {
                bj = ELM_LIST( list2, j );
                if ( EQ( bj, zero ) )  continue;
                c = PROD( ai, bj );
                if ( ! EQ( c, zero ) ) {
                    SCTableProdAdd( res, c, ELM_LIST( row, j ), dim );
                }
            }
        }
    }

    /* commutative case                                                    */
    else if ( EQ( ELM_LIST( table, dim+1 ), INTOBJ_INT(1) ) ) {
        for ( i = 1; i <= dim; i++ ) {
            ai = ELM_LIST( list1, i );
            bi = ELM_LIST( list2, i );
            if ( EQ( ai, zero ) && EQ( bi, zero ) )  continue;
            row = ELM_LIST( table, i );
            c = PROD( ai, bi );
            if ( ! EQ( c, zero ) ) {
                SCTableProdAdd( res, c, ELM_LIST( row, i ), dim );
            }
            for ( j = i+1; j <= dim; j++ ) {
                bj = ELM_LIST( list2, j );
                aj = ELM_LIST( list1, j );
                if ( EQ( aj, zero ) && EQ( bj, zero ) )  continue;
                c1 = PROD( ai, bj );
                c2 = PROD( aj, bi );
                c = SUM( c1, c2 );
                if ( ! EQ( c, zero ) ) {
                    SCTableProdAdd( res, c, ELM_LIST( row, j ), dim );
                }
            }
        }
    }

    /* anticommutative case                                                */
    else if ( EQ( ELM_LIST( table, dim+1 ), INTOBJ_INT(-1) ) ) {
        for ( i = 1; i <= dim; i++ ) {
            ai = ELM_LIST( list1, i );
            bi = ELM_LIST( list2, i );
            if ( EQ( ai, zero ) && EQ( bi, zero ) )  continue;
            row = ELM_LIST( table, i );
            for ( j = i+1; j <= dim; j++ ) {
                bj = ELM_LIST( list2, j );
                aj = ELM_LIST( list1, j ); 
                if ( EQ( aj, zero ) && EQ( bj, zero ) )  continue;
                c1 = PROD( ai, bj );
                c2 = PROD( aj, bi );
                c = DIFF( c1, c2 );
                if ( ! EQ( c, zero ) ) {
                    SCTableProdAdd( res, c, ELM_LIST( row, j ), dim );
                }
            }
        }
    }

    /* return the result                                                   */
    return res;
}
Exemple #29
0
/****************************************************************************
**
*F  ProdVectorMatrix(<vecL>,<vecR>) . . . .  product of a vector and a matrix
**
**  'ProdVectorMatrix' returns the product of the vector <vecL> and the matrix
**  <vecR>.  The product is the sum of the  rows  of <vecR>, each multiplied by
**  the corresponding entry of <vecL>.
**
**  'ProdVectorMatrix'  is an improved version of 'ProdListList',  which does
**  not  call 'PROD' and  also accumulates  the sum into  one  fixed  vector
**  instead of allocating a new for each product and sum.
*/
Obj             ProdVecFFEMatFFE (
				  Obj                 vecL,
				  Obj                 matR )
{
    Obj                 vecP;           /* handle of the product           */
    Obj *               ptrP;           /* pointer into the product        */
    FFV *               ptrV;           /* value pointer into the product  */
    FFV                 valP;           /* one value of the product        */
    FFV                 valL;           /* one value of the left operand   */
    Obj                 vecR;           /* one vector of the right operand */
    Obj *               ptrR;           /* pointer into the right vector   */
    FFV                 valR;           /* one value from the right vector */
    UInt                len;            /* length                          */
    UInt                col;            /* length of the rows in matR      */
    UInt                i, k;           /* loop variables                  */
    FF                  fld;            /* the common finite field         */
    FF *                succ;           /* the successor table             */

    /* check the lengths                                                   */
    len = LEN_PLIST(vecL);
    col = LEN_PLIST(ELM_PLIST(matR, 1));
    if (len != LEN_PLIST(matR)) {
        matR = ErrorReturnObj(
            "<vec>*<mat>: <vec> (%d) must have the same length as <mat> (%d)",
            (Int)len, (Int)col,
            "you can replace matrix <mat> via 'return <mat>;'");
        return PROD(vecL, matR);
    }

    /* check the fields                                                    */
    vecR = ELM_PLIST(matR, 1);
    fld = FLD_FFE(ELM_PLIST(vecL, 1));
    if (FLD_FFE(ELM_PLIST(vecR, 1)) != fld) {
        /* check the characteristic                                        */
        if (CHAR_FF(fld) == CHAR_FF(FLD_FFE(ELM_PLIST(vecR, 1))))
            return ProdListList(vecL, matR);

        matR = ErrorReturnObj(
            "<vec>*<mat>: <vec> and <mat> have different fields",
            0L, 0L,
            "you can replace matrix <mat> via 'return <mat>;'");
        return PROD(vecL, matR);
    }

    /* make the result list by multiplying the first entries               */
    vecP = ProdFFEVecFFE(ELM_PLIST(vecL, 1), vecR);

    /* to add we need the successor table                                  */
    succ = SUCC_FF(fld);

    /* convert vecP into a list of values                                  */
    /*N 5Jul1998 werner: This only works if sizeof(FFV) <= sizeof(Obj)     */
    /*N We have to be careful not to overwrite the length info             */
    ptrP = ADDR_OBJ(vecP);
    ptrV = ((FFV*)(ptrP + 1)) - 1;
    for (k = 1; k <= col; k++)
        ptrV[k] = VAL_FFE(ptrP[k]);

    /* loop over the other entries and multiply                            */
    for (i = 2; i <= len; i++) {
        valL = VAL_FFE(ELM_PLIST(vecL, i));
        vecR = ELM_PLIST(matR, i);
        ptrR = ADDR_OBJ(vecR);
        if (valL == (FFV)1) {
            for (k = 1; k <= col; k++) {
                valR = VAL_FFE(ptrR[k]);
                valP = ptrV[k];
                ptrV[k] = SUM_FFV(valP, valR, succ);
            }
        } else if (valL != (FFV)0) {
            for (k = 1; k <= col; k++) {
                valR = VAL_FFE(ptrR[k]);
                valR = PROD_FFV(valL, valR, succ);
                valP = ptrV[k];
                ptrV[k] = SUM_FFV(valP, valR, succ);
            }
        }
    }

    /* convert vecP back into a list of finite field elements              */
    /*N 5Jul1998 werner: This only works if sizeof(FFV) <= sizeof(Obj)     */
    /*N We have to be careful not to overwrite the length info             */
    for (k = col; k >= 1; k--)
        ptrP[k] = NEW_FFE(fld, ptrV[k]);

    /* return the result                                                   */
    return vecP;
}
Exemple #30
0
/****************************************************************************
**


*F  FuncADD_SET( <self>, <set>, <obj> ) . . . . . . . add an element to a set
**
**  'FuncADD_SET' implements the internal function 'AddSet'.
**
**  'AddSet( <set>, <obj> )'
**
**  'AddSet' adds <obj>, which may be an object  of an arbitrary type, to the
**  set <set>, which must be a proper set.  If <obj> is already an element of
**  the set <set>, then <set> is not changed.  Otherwise <obj> is inserted at
**  the correct position such that <set> is again a set afterwards.
**
**  'AddSet' does not return  anything, it is only  called for the side effect
**  of changing <set>.
*/
Obj FuncADD_SET (
		 Obj                 self,
		 Obj                 set,
		 Obj                 obj )
{
  UInt                len;            /* logical length of the list      */
  UInt                pos;            /* position                        */
  UInt                isCyc;          /* True if the set being added to consists
					 of kernel cyclotomics           */
  UInt                notpos;         /* position of an original element
					 (not the new one)               */
  UInt                wasHom;
  UInt                wasNHom;
  UInt                wasTab;
    
  /* check the arguments                                                 */
  while ( ! IsSet(set) || ! IS_MUTABLE_OBJ(set) ) {
    set = ErrorReturnObj(
			 "AddSet: <set> must be a mutable proper set (not a %s)",
			 (Int)TNAM_OBJ(set), 0L,
			 "you can replace <set> via 'return <set>;'" );
  }
  len = LEN_LIST(set);

  /* perform the binary search to find the position                      */
  pos = PositionSortedDensePlist( set, obj );

  /* add the element to the set if it is not already there               */
  if ( len < pos || ! EQ( ELM_PLIST(set,pos), obj ) ) {
    GROW_PLIST( set, len+1 );
    SET_LEN_PLIST( set, len+1 );
    {
      Obj *ptr;
      ptr = PTR_BAG(set);
      memmove((void *)(ptr + pos+1),(void*)(ptr+pos),(size_t)(sizeof(Obj)*(len+1-pos)));
#if 0
      for ( i = len+1; pos < i; i-- ) {
	*ptr = *(ptr-1);
	ptr--;   */
	/* SET_ELM_PLIST( set, i, ELM_PLIST(set,i-1) ); */
      }
#endif
    }
    SET_ELM_PLIST( set, pos, obj );
    CHANGED_BAG( set );

    /* fix up the type of the result                                   */
    if ( HAS_FILT_LIST( set, FN_IS_SSORT ) ) {
      isCyc = (TNUM_OBJ(set) == T_PLIST_CYC_SSORT);
      wasHom = HAS_FILT_LIST(set, FN_IS_HOMOG);
      wasTab = HAS_FILT_LIST(set, FN_IS_TABLE);
      wasNHom = HAS_FILT_LIST(set, FN_IS_NHOMOG);
      CLEAR_FILTS_LIST(set);
      /* the result of addset is always dense */
      SET_FILT_LIST( set, FN_IS_DENSE );

				/* if the object we added was not
                                   mutable then we might be able to
                                   conclude more */
      if ( ! IS_MUTABLE_OBJ(obj) ) {
				/* a one element list is automatically
                                   homogenous  and ssorted */
	if (len == 0 )
	  {
	    if (TNUM_OBJ(obj) <= T_CYC)
	      RetypeBag( set, T_PLIST_CYC_SSORT);
	    else
	      {
		SET_FILT_LIST( set, FN_IS_HOMOG );
		SET_FILT_LIST( set, FN_IS_SSORT );
		if (IS_HOMOG_LIST(obj))	/* it might be a table */
		  SET_FILT_LIST( set, FN_IS_TABLE );
	      }
	  }
	else
	  {
	    /* Now determine homogeneity */
	    if (isCyc)
	      if (TNUM_OBJ(obj) <= T_CYC)
		RetypeBag( set, T_PLIST_CYC_SSORT);
	      else
		{
		  RESET_FILT_LIST(set, FN_IS_HOMOG);
		  SET_FILT_LIST(set, FN_IS_NHOMOG);
		}
	    else if (wasHom)
	      {
		if (!SyInitializing) {
		  notpos = (pos == 1) ? 2 : 1;
		  if (FAMILY_OBJ(ELM_PLIST(set,notpos)) == FAMILY_OBJ(obj))
		    {
		      SET_FILT_LIST(set, FN_IS_HOMOG);
		      if (wasTab) {
			if (IS_HOMOG_LIST( obj ))
			  SET_FILT_LIST(set, FN_IS_TABLE);
		      }
		    }

		  else
		    SET_FILT_LIST(set, FN_IS_NHOMOG);
		}
	      }
	    else if (wasNHom)
	      SET_FILT_LIST(set, FN_IS_NHOMOG);
	  }
      }
      SET_FILT_LIST( set, FN_IS_SSORT );
    }
    else {
      CLEAR_FILTS_LIST(set);
      SET_FILT_LIST( set, FN_IS_DENSE );
    }
  }