cnt++;
  }while( nextC );
end_getDigits:
  va_end(ap);
  return cnt;
}

/*
** Read text from z[] and convert into a floating point number.  Return
** the number of digits converted.
*/
#define getValue sqlite3AtoF

/*
** Parse a timezone extension on the end of a date-time.
** The extension is of the form:
**
**        (+/-)HH:MM
**
** Or the "zulu" notation:
................................................................................
** as there is a year and date.
*/
static int parseDateOrTime(
  sqlite3_context *context, 
  const char *zDate, 
  DateTime *p
){
  int isRealNum;    /* Return from sqlite3IsNumber().  Not used */
  if( parseYyyyMmDd(zDate,p)==0 ){
    return 0;
  }else if( parseHhMmSs(zDate, p)==0 ){
    return 0;
  }else if( sqlite3StrICmp(zDate,"now")==0){
    setDateTimeToCurrent(context, p);
    return 0;
  }else if( sqlite3IsNumber(zDate, &isRealNum, SQLITE_UTF8) ){
    double r;
    getValue(zDate, &r);
    p->iJD = (sqlite3_int64)(r*86400000.0 + 0.5);
    p->validJD = 1;
    return 0;
  }
  return 1;
}

................................................................................
      /*
      **    weekday N
      **
      ** Move the date to the same time on the next occurrence of
      ** weekday N where 0==Sunday, 1==Monday, and so forth.  If the
      ** date is already on the appropriate weekday, this is a no-op.
      */
      if( strncmp(z, "weekday ", 8)==0 && getValue(&z[8],&r)>0

                 && (n=(int)r)==r && n>=0 && r<7 ){
        sqlite3_int64 Z;
        computeYMD_HMS(p);
        p->validTZ = 0;
        p->validJD = 0;
        computeJD(p);
        Z = ((p->iJD + 129600000)/86400000) % 7;
        if( Z>n ) Z -= 7;
................................................................................
    case '4':
    case '5':
    case '6':
    case '7':
    case '8':
    case '9': {
      double rRounder;
      n = getValue(z, &r);
      assert( n>=1 );



      if( z[n]==':' ){
        /* A modifier of the form (+|-)HH:MM:SS.FFF adds (or subtracts) the
        ** specified number of hours, minutes, seconds, and fractional seconds
        ** to the time.  The ".FFF" may be omitted.  The ":SS.FFF" may be
        ** omitted.
        */
        const char *z2 = z;

    cnt++;
  }while( nextC );
end_getDigits:
  va_end(ap);
  return cnt;
}







/*
** Parse a timezone extension on the end of a date-time.
** The extension is of the form:
**
**        (+/-)HH:MM
**
** Or the "zulu" notation:
................................................................................
** as there is a year and date.
*/
static int parseDateOrTime(
  sqlite3_context *context, 
  const char *zDate, 
  DateTime *p
){
  double r;
  if( parseYyyyMmDd(zDate,p)==0 ){
    return 0;
  }else if( parseHhMmSs(zDate, p)==0 ){
    return 0;
  }else if( sqlite3StrICmp(zDate,"now")==0){
    setDateTimeToCurrent(context, p);
    return 0;
  }else if( sqlite3AtoF(zDate, &r, sqlite3Strlen30(zDate), SQLITE_UTF8) ){


    p->iJD = (sqlite3_int64)(r*86400000.0 + 0.5);
    p->validJD = 1;
    return 0;
  }
  return 1;
}

................................................................................
      /*
      **    weekday N
      **
      ** Move the date to the same time on the next occurrence of
      ** weekday N where 0==Sunday, 1==Monday, and so forth.  If the
      ** date is already on the appropriate weekday, this is a no-op.
      */
      if( strncmp(z, "weekday ", 8)==0
               && sqlite3AtoF(&z[8], &r, sqlite3Strlen30(&z[8]), SQLITE_UTF8)
               && (n=(int)r)==r && n>=0 && r<7 ){
        sqlite3_int64 Z;
        computeYMD_HMS(p);
        p->validTZ = 0;
        p->validJD = 0;
        computeJD(p);
        Z = ((p->iJD + 129600000)/86400000) % 7;
        if( Z>n ) Z -= 7;
................................................................................
    case '4':
    case '5':
    case '6':
    case '7':
    case '8':
    case '9': {
      double rRounder;
      for(n=1; z[n] && z[n]!=':' && !sqlite3Isspace(z[n]); n++){}
      if( !sqlite3AtoF(z, &r, n, SQLITE_UTF8) ){
        rc = 1;
        break;
      }
      if( z[n]==':' ){
        /* A modifier of the form (+|-)HH:MM:SS.FFF adds (or subtracts) the
        ** specified number of hours, minutes, seconds, and fractional seconds
        ** to the time.  The ".FFF" may be omitted.  The ":SS.FFF" may be
        ** omitted.
        */
        const char *z2 = z;

    /* Wildcard of the form "?".  Assign the next variable number */
    assert( z[0]=='?' );
    pExpr->iColumn = (ynVar)(++pParse->nVar);
  }else if( z[0]=='?' ){
    /* Wildcard of the form "?nnn".  Convert "nnn" to an integer and
    ** use it as the variable number */
    i64 i;
    int bOk = sqlite3Atoi64(&z[1], &i);
    pExpr->iColumn = (ynVar)i;
    testcase( i==0 );
    testcase( i==1 );
    testcase( i==db->aLimit[SQLITE_LIMIT_VARIABLE_NUMBER]-1 );
    testcase( i==db->aLimit[SQLITE_LIMIT_VARIABLE_NUMBER] );
    if( bOk==0 || i<1 || i>db->aLimit[SQLITE_LIMIT_VARIABLE_NUMBER] ){
      sqlite3ErrorMsg(pParse, "variable number must be between ?1 and ?%d",
................................................................................
** z[n] character is guaranteed to be something that does not look
** like the continuation of the number.
*/
static void codeReal(Vdbe *v, const char *z, int negateFlag, int iMem){
  if( ALWAYS(z!=0) ){
    double value;
    char *zV;
    sqlite3AtoF(z, &value);
    assert( !sqlite3IsNaN(value) ); /* The new AtoF never returns NaN */
    if( negateFlag ) value = -value;
    zV = dup8bytes(v, (char*)&value);
    sqlite3VdbeAddOp4(v, OP_Real, 0, iMem, 0, zV, P4_REAL);
  }
}
#endif
................................................................................
    sqlite3VdbeAddOp2(v, OP_Integer, i, iMem);
  }else{
    const char *z = pExpr->u.zToken;
    assert( z!=0 );
    if( sqlite3FitsIn64Bits(z, negFlag) ){
      i64 value;
      char *zV;
      sqlite3Atoi64(z, &value);
      if( negFlag ) value = -value;
      zV = dup8bytes(v, (char*)&value);
      sqlite3VdbeAddOp4(v, OP_Int64, 0, iMem, 0, zV, P4_INT64);
    }else{
#ifdef SQLITE_OMIT_FLOATING_POINT
      sqlite3ErrorMsg(pParse, "oversized integer: %s%s", negFlag ? "-" : "", z);
#else

    /* Wildcard of the form "?".  Assign the next variable number */
    assert( z[0]=='?' );
    pExpr->iColumn = (ynVar)(++pParse->nVar);
  }else if( z[0]=='?' ){
    /* Wildcard of the form "?nnn".  Convert "nnn" to an integer and
    ** use it as the variable number */
    i64 i;
    int bOk = sqlite3Atoi64(&z[1], &i, sqlite3Strlen30(&z[1]), SQLITE_UTF8);
    pExpr->iColumn = (ynVar)i;
    testcase( i==0 );
    testcase( i==1 );
    testcase( i==db->aLimit[SQLITE_LIMIT_VARIABLE_NUMBER]-1 );
    testcase( i==db->aLimit[SQLITE_LIMIT_VARIABLE_NUMBER] );
    if( bOk==0 || i<1 || i>db->aLimit[SQLITE_LIMIT_VARIABLE_NUMBER] ){
      sqlite3ErrorMsg(pParse, "variable number must be between ?1 and ?%d",
................................................................................
** z[n] character is guaranteed to be something that does not look
** like the continuation of the number.
*/
static void codeReal(Vdbe *v, const char *z, int negateFlag, int iMem){
  if( ALWAYS(z!=0) ){
    double value;
    char *zV;
    sqlite3AtoF(z, &value, sqlite3Strlen30(z), SQLITE_UTF8);
    assert( !sqlite3IsNaN(value) ); /* The new AtoF never returns NaN */
    if( negateFlag ) value = -value;
    zV = dup8bytes(v, (char*)&value);
    sqlite3VdbeAddOp4(v, OP_Real, 0, iMem, 0, zV, P4_REAL);
  }
}
#endif
................................................................................
    sqlite3VdbeAddOp2(v, OP_Integer, i, iMem);
  }else{
    const char *z = pExpr->u.zToken;
    assert( z!=0 );
    if( sqlite3FitsIn64Bits(z, negFlag) ){
      i64 value;
      char *zV;
      sqlite3Atoi64(z, &value, sqlite3Strlen30(z), SQLITE_UTF8);
      if( negFlag ) value = -value;
      zV = dup8bytes(v, (char*)&value);
      sqlite3VdbeAddOp4(v, OP_Int64, 0, iMem, 0, zV, P4_INT64);
    }else{
#ifdef SQLITE_OMIT_FLOATING_POINT
      sqlite3ErrorMsg(pParse, "oversized integer: %s%s", negFlag ? "-" : "", z);
#else

    r = -(double)((sqlite_int64)((-r)+0.5));
  }else{
    zBuf = sqlite3_mprintf("%.*f",n,r);
    if( zBuf==0 ){
      sqlite3_result_error_nomem(context);
      return;
    }
    sqlite3AtoF(zBuf, &r);
    sqlite3_free(zBuf);
  }
  sqlite3_result_double(context, r);
}
#endif

/*

    r = -(double)((sqlite_int64)((-r)+0.5));
  }else{
    zBuf = sqlite3_mprintf("%.*f",n,r);
    if( zBuf==0 ){
      sqlite3_result_error_nomem(context);
      return;
    }
    sqlite3AtoF(zBuf, &r, sqlite3Strlen30(zBuf), SQLITE_UTF8);
    sqlite3_free(zBuf);
  }
  sqlite3_result_double(context, r);
}
#endif

/*

  **
  ** Get or set the size limit on rollback journal files.
  */
  if( sqlite3StrICmp(zLeft,"journal_size_limit")==0 ){
    Pager *pPager = sqlite3BtreePager(pDb->pBt);
    i64 iLimit = -2;
    if( zRight ){
      sqlite3Atoi64(zRight, &iLimit);
      if( iLimit<-1 ) iLimit = -1;
    }
    iLimit = sqlite3PagerJournalSizeLimit(pPager, iLimit);
    returnSingleInt(pParse, "journal_size_limit", iLimit);
  }else

#endif /* SQLITE_OMIT_PAGER_PRAGMAS */

  **
  ** Get or set the size limit on rollback journal files.
  */
  if( sqlite3StrICmp(zLeft,"journal_size_limit")==0 ){
    Pager *pPager = sqlite3BtreePager(pDb->pBt);
    i64 iLimit = -2;
    if( zRight ){
      sqlite3Atoi64(zRight, &iLimit, 1000000, SQLITE_UTF8);
      if( iLimit<-1 ) iLimit = -1;
    }
    iLimit = sqlite3PagerJournalSizeLimit(pPager, iLimit);
    returnSingleInt(pParse, "journal_size_limit", iLimit);
  }else

#endif /* SQLITE_OMIT_PAGER_PRAGMAS */

# define sqlite3Tolower(x)   tolower((unsigned char)(x))
#endif

/*
** Internal function prototypes
*/
int sqlite3StrICmp(const char *, const char *);
int sqlite3IsNumber(const char*, int*, u8);
int sqlite3Strlen30(const char*);
#define sqlite3StrNICmp sqlite3_strnicmp

int sqlite3MallocInit(void);
void sqlite3MallocEnd(void);
void *sqlite3Malloc(int);
void *sqlite3MallocZero(int);
................................................................................
void sqlite3Detach(Parse*, Expr*);
int sqlite3FixInit(DbFixer*, Parse*, int, const char*, const Token*);
int sqlite3FixSrcList(DbFixer*, SrcList*);
int sqlite3FixSelect(DbFixer*, Select*);
int sqlite3FixExpr(DbFixer*, Expr*);
int sqlite3FixExprList(DbFixer*, ExprList*);
int sqlite3FixTriggerStep(DbFixer*, TriggerStep*);
int sqlite3AtoF(const char *z, double*);
int sqlite3GetInt32(const char *, int*);
int sqlite3FitsIn64Bits(const char *, int);
int sqlite3Utf16ByteLen(const void *pData, int nChar);
int sqlite3Utf8CharLen(const char *pData, int nByte);
int sqlite3Utf8Read(const u8*, const u8**);

/*
................................................................................


const char *sqlite3IndexAffinityStr(Vdbe *, Index *);
void sqlite3TableAffinityStr(Vdbe *, Table *);
char sqlite3CompareAffinity(Expr *pExpr, char aff2);
int sqlite3IndexAffinityOk(Expr *pExpr, char idx_affinity);
char sqlite3ExprAffinity(Expr *pExpr);
int sqlite3Atoi64(const char*, i64*);
void sqlite3Error(sqlite3*, int, const char*,...);
void *sqlite3HexToBlob(sqlite3*, const char *z, int n);
int sqlite3TwoPartName(Parse *, Token *, Token *, Token **);
const char *sqlite3ErrStr(int);
int sqlite3ReadSchema(Parse *pParse);
CollSeq *sqlite3FindCollSeq(sqlite3*,u8 enc, const char*,int);
CollSeq *sqlite3LocateCollSeq(Parse *pParse, const char*zName);

# define sqlite3Tolower(x)   tolower((unsigned char)(x))
#endif

/*
** Internal function prototypes
*/
int sqlite3StrICmp(const char *, const char *);

int sqlite3Strlen30(const char*);
#define sqlite3StrNICmp sqlite3_strnicmp

int sqlite3MallocInit(void);
void sqlite3MallocEnd(void);
void *sqlite3Malloc(int);
void *sqlite3MallocZero(int);
................................................................................
void sqlite3Detach(Parse*, Expr*);
int sqlite3FixInit(DbFixer*, Parse*, int, const char*, const Token*);
int sqlite3FixSrcList(DbFixer*, SrcList*);
int sqlite3FixSelect(DbFixer*, Select*);
int sqlite3FixExpr(DbFixer*, Expr*);
int sqlite3FixExprList(DbFixer*, ExprList*);
int sqlite3FixTriggerStep(DbFixer*, TriggerStep*);
int sqlite3AtoF(const char *z, double*, int, u8);
int sqlite3GetInt32(const char *, int*);
int sqlite3FitsIn64Bits(const char *, int);
int sqlite3Utf16ByteLen(const void *pData, int nChar);
int sqlite3Utf8CharLen(const char *pData, int nByte);
int sqlite3Utf8Read(const u8*, const u8**);

/*
................................................................................


const char *sqlite3IndexAffinityStr(Vdbe *, Index *);
void sqlite3TableAffinityStr(Vdbe *, Table *);
char sqlite3CompareAffinity(Expr *pExpr, char aff2);
int sqlite3IndexAffinityOk(Expr *pExpr, char idx_affinity);
char sqlite3ExprAffinity(Expr *pExpr);
int sqlite3Atoi64(const char*, i64*, int, u8);
void sqlite3Error(sqlite3*, int, const char*,...);
void *sqlite3HexToBlob(sqlite3*, const char *z, int n);
int sqlite3TwoPartName(Parse *, Token *, Token *, Token **);
const char *sqlite3ErrStr(int);
int sqlite3ReadSchema(Parse *pParse);
CollSeq *sqlite3FindCollSeq(sqlite3*,u8 enc, const char*,int);
CollSeq *sqlite3LocateCollSeq(Parse *pParse, const char*zName);

  char *z;
  if( argc!=5 ){
    Tcl_AppendResult(interp, "wrong # args: should be \"", argv[0],
       " FORMAT INT INT INT\"", 0);
    return TCL_ERROR;
  }
  for(i=2; i<5; i++){
    if( !sqlite3Atoi64(argv[i], &a[i-2]) ){
      Tcl_AppendResult(interp, "argument is not a valid 64-bit integer", 0);
      return TCL_ERROR;
    }
  }
  z = sqlite3_mprintf(argv[1], a[0], a[1], a[2]);
  Tcl_AppendResult(interp, z, 0);
  sqlite3_free(z);

  char *z;
  if( argc!=5 ){
    Tcl_AppendResult(interp, "wrong # args: should be \"", argv[0],
       " FORMAT INT INT INT\"", 0);
    return TCL_ERROR;
  }
  for(i=2; i<5; i++){
    if( !sqlite3Atoi64(argv[i], &a[i-2], 1000000, SQLITE_UTF8) ){
      Tcl_AppendResult(interp, "argument is not a valid 64-bit integer", 0);
      return TCL_ERROR;
    }
  }
  z = sqlite3_mprintf(argv[1], a[0], a[1], a[2]);
  Tcl_AppendResult(interp, z, 0);
  sqlite3_free(z);

  a = (unsigned char *)zLeft;
  b = (unsigned char *)zRight;
  while( N-- > 0 && *a!=0 && UpperToLower[*a]==UpperToLower[*b]){ a++; b++; }
  return N<0 ? 0 : UpperToLower[*a] - UpperToLower[*b];
}

/*
** Return TRUE if z is a pure numeric string.  Return FALSE and leave
** *realnum unchanged if the string contains any character which is not
** part of a number.
**
** If the string is pure numeric, set *realnum to TRUE if the string
** contains the '.' character or an "E+000" style exponentiation suffix.
** Otherwise set *realnum to FALSE.  Note that just becaue *realnum is
** false does not mean that the number can be successfully converted into
** an integer - it might be too big.
**
** An empty string is considered non-numeric.
*/
int sqlite3IsNumber(const char *z, int *realnum, u8 enc){
  int incr = (enc==SQLITE_UTF8?1:2);
  if( enc==SQLITE_UTF16BE ) z++;
  if( *z=='-' || *z=='+' ) z += incr;
  if( !sqlite3Isdigit(*z) ){
    return 0;
  }
  z += incr;
  *realnum = 0;
  while( sqlite3Isdigit(*z) ){ z += incr; }
#ifndef SQLITE_OMIT_FLOATING_POINT
  if( *z=='.' ){
    z += incr;
    if( !sqlite3Isdigit(*z) ) return 0;
    while( sqlite3Isdigit(*z) ){ z += incr; }
    *realnum = 1;
  }
  if( *z=='e' || *z=='E' ){
    z += incr;
    if( *z=='+' || *z=='-' ) z += incr;
    if( !sqlite3Isdigit(*z) ) return 0;
    while( sqlite3Isdigit(*z) ){ z += incr; }
    *realnum = 1;
  }
#endif
  return *z==0;
}

/*
** The string z[] is an ASCII representation of a real number.
** Convert this string to a double.
**
** This routine assumes that z[] really is a valid number.  If it
** is not, the result is undefined.


**
** This routine is used instead of the library atof() function because
** the library atof() might want to use "," as the decimal point instead
** of "." depending on how locale is set.  But that would cause problems
** for SQL.  So this routine always uses "." regardless of locale.


*/
int sqlite3AtoF(const char *z, double *pResult){
#ifndef SQLITE_OMIT_FLOATING_POINT

  const char *zBegin = z;
  /* sign * significand * (10 ^ (esign * exponent)) */
  int sign = 1;   /* sign of significand */
  i64 s = 0;      /* significand */
  int d = 0;      /* adjust exponent for shifting decimal point */
  int esign = 1;  /* sign of exponent */
  int e = 0;      /* exponent */
  double result;
  int nDigits = 0;



  /* skip leading spaces */
  while( sqlite3Isspace(*z) ) z++;





  /* get sign of significand */
  if( *z=='-' ){
    sign = -1;
    z++;
  }else if( *z=='+' ){
    z++;
  }

  /* skip leading zeroes */
  while( z[0]=='0' ) z++, nDigits++;


  /* copy max significant digits to significand */
  while( sqlite3Isdigit(*z) && s<((LARGEST_INT64-9)/10) ){
    s = s*10 + (*z - '0');
    z++, nDigits++;
  }

  /* skip non-significant significand digits
  ** (increase exponent by d to shift decimal left) */
  while( sqlite3Isdigit(*z) ) z++, nDigits++, d++;


  /* if decimal point is present */
  if( *z=='.' ){
    z++;
    /* copy digits from after decimal to significand
    ** (decrease exponent by d to shift decimal right) */
    while( sqlite3Isdigit(*z) && s<((LARGEST_INT64-9)/10) ){
      s = s*10 + (*z - '0');
      z++, nDigits++, d--;
    }
    /* skip non-significant digits */
    while( sqlite3Isdigit(*z) ) z++, nDigits++;
  }


  /* if exponent is present */
  if( *z=='e' || *z=='E' ){
    z++;

    /* get sign of exponent */
    if( *z=='-' ){
      esign = -1;
      z++;
    }else if( *z=='+' ){
      z++;
    }
    /* copy digits to exponent */
    while( sqlite3Isdigit(*z) ){
      e = e*10 + (*z - '0');
      z++;
    }
  }


  /* adjust exponent by d, and update sign */
  e = (e*esign) + d;
  if( e<0 ) {
    esign = -1;
    e *= -1;
  } else {
    esign = 1;
................................................................................
      result = (double)s;
    }
  }

  /* store the result */
  *pResult = result;

  /* return number of characters used */
  return (int)(z - zBegin);
#else
  return sqlite3Atoi64(z, pResult);
#endif /* SQLITE_OMIT_FLOATING_POINT */
}

/*
** Compare the 19-character string zNum against the text representation
** value 2^63:  9223372036854775808.  Return negative, zero, or positive
** if zNum is less than, equal to, or greater than the string.
**
** Unlike memcmp() this routine is guaranteed to return the difference
** in the values of the last digit if the only difference is in the
** last digit.  So, for example,
**
**      compare2pow63("9223372036854775800")
**
** will return -8.
*/
static int compare2pow63(const char *zNum){

  int c;

  c = memcmp(zNum,"922337203685477580",18)*10;



  if( c==0 ){
    c = zNum[18] - '8';
    testcase( c==(-1) );
    testcase( c==0 );
    testcase( c==(+1) );
  }
  return c;
}

................................................................................

/*
** Return TRUE if zNum is a 64-bit signed integer and write
** the value of the integer into *pNum.  If zNum is not an integer
** or is an integer that is too large to be expressed with 64 bits,
** then return false.
**
** When this routine was originally written it dealt with only
** 32-bit numbers.  At that time, it was much faster than the
** atoi() library routine in RedHat 7.2.
*/
int sqlite3Atoi64(const char *zNum, i64 *pNum){

  i64 v = 0;
  int neg;
  int i, c;

  const char *zStart;


  while( sqlite3Isspace(*zNum) ) zNum++;

  if( *zNum=='-' ){
    neg = 1;
    zNum++;
  }else if( *zNum=='+' ){
    neg = 0;
    zNum++;
  }else{
    neg = 0;
  }

  zStart = zNum;
  while( zNum[0]=='0' ){ zNum++; } /* Skip over leading zeros. Ticket #2454 */

  for(i=0; (c=zNum[i])>='0' && c<='9'; i++){
    v = v*10 + c - '0';
  }
  *pNum = neg ? -v : v;
  testcase( i==18 );
  testcase( i==19 );
  testcase( i==20 );
  if( c!=0 || (i==0 && zStart==zNum) || i>19 ){
    /* zNum is empty or contains non-numeric text or is longer
    ** than 19 digits (thus guaranting that it is too large) */
    return 0;
  }else if( i<19 ){
    /* Less than 19 digits, so we know that it fits in 64 bits */
    return 1;
  }else{
    /* 19-digit numbers must be no larger than 9223372036854775807 if positive
    ** or 9223372036854775808 if negative.  Note that 9223372036854665808
    ** is 2^63. */
    return compare2pow63(zNum)<neg;
  }
}

/*
** The string zNum represents an unsigned integer.  The zNum string
** consists of one or more digit characters and is terminated by
** a zero character.  Any stray characters in zNum result in undefined
................................................................................
    /* Guaranteed to fit if less than 19 digits */
    return 1;
  }else if( i>19 ){
    /* Guaranteed to be too big if greater than 19 digits */
    return 0;
  }else{
    /* Compare against 2^63. */
    return compare2pow63(zNum)<neg;
  }
}

/*
** If zNum represents an integer that will fit in 32-bits, then set
** *pValue to that integer and return true.  Otherwise return false.
**

  a = (unsigned char *)zLeft;
  b = (unsigned char *)zRight;
  while( N-- > 0 && *a!=0 && UpperToLower[*a]==UpperToLower[*b]){ a++; b++; }
  return N<0 ? 0 : UpperToLower[*a] - UpperToLower[*b];
}

/*









































** The string z[] is an text representation of a real number.
** Convert this string to a double.
**


** The string z[] is length bytes in length (bytes, not characters) and
** uses the encoding enc.  The string is not necessarily zero-terminated.
**




** Return TRUE if the result is a valid real number (or integer) and FALSE
** if the string is empty or contains extraneous text.
*/
int sqlite3AtoF(const char *z, double *pResult, int length, u8 enc){
#ifndef SQLITE_OMIT_FLOATING_POINT
  int incr = (enc==SQLITE_UTF8?1:2);
  const char *zEnd = z + length;
  /* sign * significand * (10 ^ (esign * exponent)) */
  int sign = 1;   /* sign of significand */
  i64 s = 0;      /* significand */
  int d = 0;      /* adjust exponent for shifting decimal point */
  int esign = 1;  /* sign of exponent */
  int e = 0;      /* exponent */
  double result;
  int nDigits = 0;

  if( enc==SQLITE_UTF16BE ) z++;

  /* skip leading spaces */
  while( z<zEnd && sqlite3Isspace(*z) ) z+=incr;
  if( z>=zEnd ){
    *pResult = 0.0;
    return 0;
  }

  /* get sign of significand */
  if( *z=='-' ){
    sign = -1;
    z+=incr;
  }else if( *z=='+' ){
    z+=incr;
  }

  /* skip leading zeroes */

  while( z<zEnd && z[0]=='0' ) z+=incr, nDigits++;

  /* copy max significant digits to significand */
  while( z<zEnd && sqlite3Isdigit(*z) && s<((LARGEST_INT64-9)/10) ){
    s = s*10 + (*z - '0');
    z+=incr, nDigits++;
  }

  /* skip non-significant significand digits
  ** (increase exponent by d to shift decimal left) */
  while( z<zEnd && sqlite3Isdigit(*z) ) z+=incr, nDigits++, d++;
  if( z>=zEnd ) goto do_atof_calc;

  /* if decimal point is present */
  if( *z=='.' ){
    z+=incr;
    /* copy digits from after decimal to significand
    ** (decrease exponent by d to shift decimal right) */
    while( z<zEnd && sqlite3Isdigit(*z) && s<((LARGEST_INT64-9)/10) ){
      s = s*10 + (*z - '0');
      z+=incr, nDigits++, d--;
    }
    /* skip non-significant digits */
    while( z<zEnd && sqlite3Isdigit(*z) ) z+=incr, nDigits++;
  }
  if( z>=zEnd ) goto do_atof_calc;

  /* if exponent is present */
  if( *z=='e' || *z=='E' ){
    z+=incr;
    if( z>=zEnd ) goto do_atof_calc;
    /* get sign of exponent */
    if( *z=='-' ){
      esign = -1;
      z+=incr;
    }else if( *z=='+' ){
      z+=incr;
    }
    /* copy digits to exponent */
    while( z<zEnd && sqlite3Isdigit(*z) ){
      e = e*10 + (*z - '0');
      z+=incr;
    }
  }

do_atof_calc:
  /* adjust exponent by d, and update sign */
  e = (e*esign) + d;
  if( e<0 ) {
    esign = -1;
    e *= -1;
  } else {
    esign = 1;
................................................................................
      result = (double)s;
    }
  }

  /* store the result */
  *pResult = result;

  /* return number of bytes used */
  return z>=zEnd && sqlite3Isdigit(z[-incr]);
#else
  return sqlite3Atoi64(z, pResult, length, enc);
#endif /* SQLITE_OMIT_FLOATING_POINT */
}

/*
** Compare the 19-character string zNum against the text representation
** value 2^63:  9223372036854775808.  Return negative, zero, or positive
** if zNum is less than, equal to, or greater than the string.
**
** Unlike memcmp() this routine is guaranteed to return the difference
** in the values of the last digit if the only difference is in the
** last digit.  So, for example,
**
**      compare2pow63("9223372036854775800", 1)
**
** will return -8.
*/
static int compare2pow63(const char *zNum, int incr){
  int c = 0;
  int i;
                    /* 012345678901234567 */
  const char *pow63 = "922337203685477580";
  for(i=0; c==0 && i<18; i++){
    c = (zNum[i*incr]-pow63[i])*10;
  }
  if( c==0 ){
    c = zNum[18*incr] - '8';
    testcase( c==(-1) );
    testcase( c==0 );
    testcase( c==(+1) );
  }
  return c;
}

................................................................................

/*
** Return TRUE if zNum is a 64-bit signed integer and write
** the value of the integer into *pNum.  If zNum is not an integer
** or is an integer that is too large to be expressed with 64 bits,
** then return false.
**
** length is the number of bytes in the string (bytes, not characters).
** The string is not necessarily zero-terminated.  The encoding is
** given by enc.
*/
int sqlite3Atoi64(const char *zNum, i64 *pNum, int length, u8 enc){
  int incr = (enc==SQLITE_UTF8?1:2);
  i64 v = 0;
  int neg = 0;
  int i;
  int c = 0;
  const char *zStart;
  const char *zEnd = zNum + length;
  if( enc==SQLITE_UTF16BE ) zNum++;
  while( zNum<zEnd && sqlite3Isspace(*zNum) ) zNum+=incr;
  if( zNum>=zEnd ) goto do_atoi_calc;
  if( *zNum=='-' ){
    neg = 1;
    zNum+=incr;
  }else if( *zNum=='+' ){
    neg = 0;
    zNum+=incr;
  }else{
    neg = 0;
  }
do_atoi_calc:
  zStart = zNum;

  while( zNum<zEnd && zNum[0]=='0' ){ zNum+=incr; } /* Skip leading zeros. */
  for(i=0; &zNum[i]<zEnd && (c=zNum[i])>='0' && c<='9'; i+=incr){
    v = v*10 + c - '0';
  }
  *pNum = neg ? -v : v;
  testcase( i==18 );
  testcase( i==19 );
  testcase( i==20 );
  if( (c!=0 && &zNum[i]<zEnd) || (i==0 && zStart==zNum) || i>19*incr ){
    /* zNum is empty or contains non-numeric text or is longer
    ** than 19 digits (thus guaranting that it is too large) */
    return 0;
  }else if( i<19*incr ){
    /* Less than 19 digits, so we know that it fits in 64 bits */
    return 1;
  }else{
    /* 19-digit numbers must be no larger than 9223372036854775807 if positive
    ** or 9223372036854775808 if negative.  Note that 9223372036854665808
    ** is 2^63. */
    return compare2pow63(zNum, incr)<neg;
  }
}

/*
** The string zNum represents an unsigned integer.  The zNum string
** consists of one or more digit characters and is terminated by
** a zero character.  Any stray characters in zNum result in undefined
................................................................................
    /* Guaranteed to fit if less than 19 digits */
    return 1;
  }else if( i>19 ){
    /* Guaranteed to be too big if greater than 19 digits */
    return 0;
  }else{
    /* Compare against 2^63. */
    return compare2pow63(zNum, 1)<neg;
  }
}

/*
** If zNum represents an integer that will fit in 32-bits, then set
** *pValue to that integer and return true.  Otherwise return false.
**

** Try to convert a value into a numeric representation if we can
** do so without loss of information.  In other words, if the string
** looks like a number, convert it into a number.  If it does not
** look like a number, leave it alone.
*/
static void applyNumericAffinity(Mem *pRec){
  if( (pRec->flags & (MEM_Real|MEM_Int))==0 ){
    int realnum;

    u8 enc = pRec->enc;
    sqlite3VdbeMemNulTerminate(pRec);
    if( (pRec->flags&MEM_Str) && sqlite3IsNumber(pRec->z, &realnum, enc) ){
      i64 value;
      char *zUtf8 = pRec->z;
#ifndef SQLITE_OMIT_UTF16
      if( enc!=SQLITE_UTF8 ){
        assert( pRec->db );
        zUtf8 = sqlite3Utf16to8(pRec->db, pRec->z, pRec->n, enc);
        if( !zUtf8 ) return;
      }
#endif
      if( !realnum && sqlite3Atoi64(zUtf8, &value) ){
        pRec->u.i = value;
        MemSetTypeFlag(pRec, MEM_Int);

      }else{
        sqlite3AtoF(zUtf8, &pRec->r);
        MemSetTypeFlag(pRec, MEM_Real);
      }
#ifndef SQLITE_OMIT_UTF16
      if( enc!=SQLITE_UTF8 ){
        sqlite3DbFree(pRec->db, zUtf8);
      }
#endif


    }
  }
}

/*
** Processing is determine by the affinity parameter:
**

** Try to convert a value into a numeric representation if we can
** do so without loss of information.  In other words, if the string
** looks like a number, convert it into a number.  If it does not
** look like a number, leave it alone.
*/
static void applyNumericAffinity(Mem *pRec){
  if( (pRec->flags & (MEM_Real|MEM_Int))==0 ){
    double rValue;
    i64 iValue;
    u8 enc = pRec->enc;

    if( (pRec->flags&MEM_Str)==0 ) return;
    if( sqlite3AtoF(pRec->z, &rValue, pRec->n, enc)==0 ) return;
    if( sqlite3Atoi64(pRec->z, &iValue, pRec->n, enc) ){








      pRec->u.i = iValue;

      pRec->flags |= MEM_Int;
    }else{








      pRec->r = rValue;
      pRec->flags |= MEM_Real;
    }
  }
}

/*
** Processing is determine by the affinity parameter:
**

  flags = pMem->flags;
  if( flags & MEM_Int ){
    return pMem->u.i;
  }else if( flags & MEM_Real ){
    return doubleToInt64(pMem->r);
  }else if( flags & (MEM_Str|MEM_Blob) ){
    i64 value;
    pMem->flags |= MEM_Str;
    if( sqlite3VdbeChangeEncoding(pMem, SQLITE_UTF8)
       || sqlite3VdbeMemNulTerminate(pMem) ){
      return 0;
    }
    assert( pMem->z );
    sqlite3Atoi64(pMem->z, &value);
    return value;
  }else{
    return 0;
  }
}

/*
................................................................................
    pMem->flags |= MEM_Str;
    if( sqlite3VdbeChangeEncoding(pMem, SQLITE_UTF8)
       || sqlite3VdbeMemNulTerminate(pMem) ){
      /* (double)0 In case of SQLITE_OMIT_FLOATING_POINT... */
      return (double)0;
    }
    assert( pMem->z );
    sqlite3AtoF(pMem->z, &val);
    return val;
  }else{
    /* (double)0 In case of SQLITE_OMIT_FLOATING_POINT... */
    return (double)0;
  }
}

................................................................................
  assert( (pMem->flags & (MEM_Int|MEM_Real|MEM_Null))==0 );
  assert( (pMem->flags & (MEM_Blob|MEM_Str))!=0 );
  assert( pMem->db==0 || sqlite3_mutex_held(pMem->db->mutex) );
  rc = sqlite3VdbeChangeEncoding(pMem, SQLITE_UTF8);
  if( rc ) return rc;
  rc = sqlite3VdbeMemNulTerminate(pMem);
  if( rc ) return rc;
  if( sqlite3Atoi64(pMem->z, &pMem->u.i) ){
    MemSetTypeFlag(pMem, MEM_Int);
  }else{
    pMem->r = sqlite3VdbeRealValue(pMem);
    MemSetTypeFlag(pMem, MEM_Real);
    sqlite3VdbeIntegerAffinity(pMem);
  }
  return SQLITE_OK;

  flags = pMem->flags;
  if( flags & MEM_Int ){
    return pMem->u.i;
  }else if( flags & MEM_Real ){
    return doubleToInt64(pMem->r);
  }else if( flags & (MEM_Str|MEM_Blob) ){
    i64 value;
    assert( pMem->z || pMem->n==0 );




    testcase( pMem->z==0 );
    sqlite3Atoi64(pMem->z, &value, pMem->n, pMem->enc);
    return value;
  }else{
    return 0;
  }
}

/*
................................................................................
    pMem->flags |= MEM_Str;
    if( sqlite3VdbeChangeEncoding(pMem, SQLITE_UTF8)
       || sqlite3VdbeMemNulTerminate(pMem) ){
      /* (double)0 In case of SQLITE_OMIT_FLOATING_POINT... */
      return (double)0;
    }
    assert( pMem->z );
    sqlite3AtoF(pMem->z, &val, pMem->n, SQLITE_UTF8);
    return val;
  }else{
    /* (double)0 In case of SQLITE_OMIT_FLOATING_POINT... */
    return (double)0;
  }
}

................................................................................
  assert( (pMem->flags & (MEM_Int|MEM_Real|MEM_Null))==0 );
  assert( (pMem->flags & (MEM_Blob|MEM_Str))!=0 );
  assert( pMem->db==0 || sqlite3_mutex_held(pMem->db->mutex) );
  rc = sqlite3VdbeChangeEncoding(pMem, SQLITE_UTF8);
  if( rc ) return rc;
  rc = sqlite3VdbeMemNulTerminate(pMem);
  if( rc ) return rc;
  if( sqlite3Atoi64(pMem->z, &pMem->u.i, pMem->n, SQLITE_UTF8) ){
    MemSetTypeFlag(pMem, MEM_Int);
  }else{
    pMem->r = sqlite3VdbeRealValue(pMem);
    MemSetTypeFlag(pMem, MEM_Real);
    sqlite3VdbeIntegerAffinity(pMem);
  }
  return SQLITE_OK;