void sqlite3Detach(Parse*, Expr*);
void 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 sqlite3Atoi(const char*);
#ifndef SQLITE_OMIT_UTF16
int sqlite3Utf16ByteLen(const void *pData, int nChar);
#endif
int sqlite3Utf8CharLen(const char *pData, int nByte);

void sqlite3Detach(Parse*, Expr*);
void 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 sqlite3RealSameAsInt(double,sqlite3_int64);
int sqlite3AtoF(const char *z, double*, int, u8);
int sqlite3GetInt32(const char *, int*);
int sqlite3Atoi(const char*);
#ifndef SQLITE_OMIT_UTF16
int sqlite3Utf16ByteLen(const void *pData, int nChar);
#endif
int sqlite3Utf8CharLen(const char *pData, int nByte);

** The string z[] is an text representation of a real number.
** Convert this string to a double and write it into *pResult.
**
** 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.  Valid numbers





** are in one of these formats:
**
**    [+-]digits[E[+-]digits]
**    [+-]digits.[digits][E[+-]digits]
**    [+-].digits[E[+-]digits]
**
** Leading and trailing whitespace is ignored for the purpose of determining
** validity.
................................................................................
  i64 s = 0;       /* significand */
  int d = 0;       /* adjust exponent for shifting decimal point */
  int esign = 1;   /* sign of exponent */
  int e = 0;       /* exponent */
  int eValid = 1;  /* True exponent is either not used or is well-formed */
  double result;
  int nDigit = 0;  /* Number of digits processed */
  int nonNum = 0;  /* True if input contains UTF16 with high byte non-zero */

  assert( enc==SQLITE_UTF8 || enc==SQLITE_UTF16LE || enc==SQLITE_UTF16BE );
  *pResult = 0.0;   /* Default return value, in case of an error */

  if( enc==SQLITE_UTF8 ){
    incr = 1;
  }else{
    int i;
    incr = 2;
    assert( SQLITE_UTF16LE==2 && SQLITE_UTF16BE==3 );
    for(i=3-enc; i<length && z[i]==0; i+=2){}
    nonNum = i<length;
    zEnd = &z[i^1];
    z += (enc&1);
  }

  /* skip leading spaces */
  while( z<zEnd && sqlite3Isspace(*z) ) z+=incr;
  if( z>=zEnd ) return 0;
................................................................................
    }
  }
  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) ){
      if( s<((LARGEST_INT64-9)/10) ){
        s = s*10 + (*z - '0');
        d--;
        nDigit++;
................................................................................
  }
  if( z>=zEnd ) goto do_atof_calc;

  /* if exponent is present */
  if( *z=='e' || *z=='E' ){
    z+=incr;
    eValid = 0;


    /* This branch is needed to avoid a (harmless) buffer overread.  The 
    ** special comment alerts the mutation tester that the correct answer
    ** is obtained even if the branch is omitted */
    if( z>=zEnd ) goto do_atof_calc;              /*PREVENTS-HARMLESS-OVERREAD*/

    /* get sign of exponent */
................................................................................
    }
  }

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

  /* return true if number and no extra non-whitespace chracters after */
  return z==zEnd && nDigit>0 && eValid && nonNum==0;
#else
  return !sqlite3Atoi64(z, pResult, length, enc);
#endif /* SQLITE_OMIT_FLOATING_POINT */
}

/*
** Compare the 19-character string zNum against the text representation

** The string z[] is an text representation of a real number.
** Convert this string to a double and write it into *pResult.
**
** 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.  More specifically
** return
**      1          =>  The input string is a pure integer
**      2 or more  =>  The input has a decimal point or eNNN clause
**      0          =>  The input string is not a valid number
**
** Valid numbers are in one of these formats:
**
**    [+-]digits[E[+-]digits]
**    [+-]digits.[digits][E[+-]digits]
**    [+-].digits[E[+-]digits]
**
** Leading and trailing whitespace is ignored for the purpose of determining
** validity.
................................................................................
  i64 s = 0;       /* significand */
  int d = 0;       /* adjust exponent for shifting decimal point */
  int esign = 1;   /* sign of exponent */
  int e = 0;       /* exponent */
  int eValid = 1;  /* True exponent is either not used or is well-formed */
  double result;
  int nDigit = 0;  /* Number of digits processed */
  int eType = 1;   /* 1: pure integer,  2+: fractional  -1 or less: bad UTF16 */

  assert( enc==SQLITE_UTF8 || enc==SQLITE_UTF16LE || enc==SQLITE_UTF16BE );
  *pResult = 0.0;   /* Default return value, in case of an error */

  if( enc==SQLITE_UTF8 ){
    incr = 1;
  }else{
    int i;
    incr = 2;
    assert( SQLITE_UTF16LE==2 && SQLITE_UTF16BE==3 );
    for(i=3-enc; i<length && z[i]==0; i+=2){}
    if( i<length ) eType = -100;
    zEnd = &z[i^1];
    z += (enc&1);
  }

  /* skip leading spaces */
  while( z<zEnd && sqlite3Isspace(*z) ) z+=incr;
  if( z>=zEnd ) return 0;
................................................................................
    }
  }
  if( z>=zEnd ) goto do_atof_calc;

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

  /* if exponent is present */
  if( *z=='e' || *z=='E' ){
    z+=incr;
    eValid = 0;
    eType++;

    /* This branch is needed to avoid a (harmless) buffer overread.  The 
    ** special comment alerts the mutation tester that the correct answer
    ** is obtained even if the branch is omitted */
    if( z>=zEnd ) goto do_atof_calc;              /*PREVENTS-HARMLESS-OVERREAD*/

    /* get sign of exponent */
................................................................................
    }
  }

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

  /* return true if number and no extra non-whitespace chracters after */
  return z==zEnd && nDigit>0 && eValid && eType>0 ? eType : 0;
#else
  return !sqlite3Atoi64(z, pResult, length, enc);
#endif /* SQLITE_OMIT_FLOATING_POINT */
}

/*
** Compare the 19-character string zNum against the text representation

      pCx->uc.pCursor = (BtCursor*)
          &pMem->z[ROUND8(sizeof(VdbeCursor))+2*sizeof(u32)*nField];
      sqlite3BtreeCursorZero(pCx->uc.pCursor);
    }
  }
  return pCx;
}

























/*
** 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.
**
................................................................................
**
** If bTryForInt is false, then if the input string contains a decimal
** point or exponential notation, the result is only MEM_Real, even
** if there is an exact integer representation of the quantity.
*/
static void applyNumericAffinity(Mem *pRec, int bTryForInt){
  double rValue;
  i64 iValue;
  u8 enc = pRec->enc;

  assert( (pRec->flags & (MEM_Str|MEM_Int|MEM_Real|MEM_IntReal))==MEM_Str );
  if( sqlite3AtoF(pRec->z, &rValue, pRec->n, enc)==0 ) return;
  if( 0==sqlite3Atoi64(pRec->z, &iValue, pRec->n, enc) ){
    pRec->u.i = iValue;
    pRec->flags |= MEM_Int;
  }else{
    pRec->u.r = rValue;
    pRec->flags |= MEM_Real;
    if( bTryForInt ) sqlite3VdbeIntegerAffinity(pRec);
  }
  /* TEXT->NUMERIC is many->one.  Hence, it is important to invalidate the

      pCx->uc.pCursor = (BtCursor*)
          &pMem->z[ROUND8(sizeof(VdbeCursor))+2*sizeof(u32)*nField];
      sqlite3BtreeCursorZero(pCx->uc.pCursor);
    }
  }
  return pCx;
}

/*
** The string in pRec is known to look like an integer and to have a
** floating point value of rValue.  Return true and set *piValue to the
** integer value if the string is in range to be an integer.  Otherwise,
** return false.
*/
static int alsoAnInt(Mem *pRec, double rValue, i64 *piValue){
  i64 iValue = (double)rValue;
  if( sqlite3RealSameAsInt(rValue,iValue) ){
    testcase( iValue<-2251799813685248 );
    testcase( iValue==-2251799813685248 );
    testcase( iValue==-2251799813685247 );
    testcase( iValue>-2251799813685247 && iValue<+2251799813685247 );
    testcase( iValue==+2251799813685247 );
    testcase( iValue==+2251799813685248 );
    testcase( iValue>+2251799813685248 );
    if( iValue > -2251799813685248 && iValue < 2251799813685248 ){
      *piValue = iValue;
      return 1;
    }
  }
  return 0==sqlite3Atoi64(pRec->z, piValue, pRec->n, pRec->enc);
}

/*
** 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.
**
................................................................................
**
** If bTryForInt is false, then if the input string contains a decimal
** point or exponential notation, the result is only MEM_Real, even
** if there is an exact integer representation of the quantity.
*/
static void applyNumericAffinity(Mem *pRec, int bTryForInt){
  double rValue;

  u8 enc = pRec->enc;
  int rc;
  assert( (pRec->flags & (MEM_Str|MEM_Int|MEM_Real|MEM_IntReal))==MEM_Str );
  rc = sqlite3AtoF(pRec->z, &rValue, pRec->n, enc);
  if( rc==0 ) return;
  if( rc==1 && alsoAnInt(pRec, rValue, &pRec->u.i) ){
    pRec->flags |= MEM_Int;
  }else{
    pRec->u.r = rValue;
    pRec->flags |= MEM_Real;
    if( bTryForInt ) sqlite3VdbeIntegerAffinity(pRec);
  }
  /* TEXT->NUMERIC is many->one.  Hence, it is important to invalidate the

/* Compare a floating point value to an integer.  Return true if the two
** values are the same within the precision of the floating point value.
**
** For some versions of GCC on 32-bit machines, if you do the more obvious
** comparison of "r1==(double)i" you sometimes get an answer of false even
** though the r1 and (double)i values are bit-for-bit the same.
*/
static int sqlite3RealSameAsInt(double r1, sqlite3_int64 i){
  double r2 = (double)i;
  return memcmp(&r1, &r2, sizeof(r1))==0;
}

/*
** Convert pMem so that it has type MEM_Real or MEM_Int.
** Invalidate any prior representations.

/* Compare a floating point value to an integer.  Return true if the two
** values are the same within the precision of the floating point value.
**
** For some versions of GCC on 32-bit machines, if you do the more obvious
** comparison of "r1==(double)i" you sometimes get an answer of false even
** though the r1 and (double)i values are bit-for-bit the same.
*/
int sqlite3RealSameAsInt(double r1, sqlite3_int64 i){
  double r2 = (double)i;
  return memcmp(&r1, &r2, sizeof(r1))==0;
}

/*
** Convert pMem so that it has type MEM_Real or MEM_Int.
** Invalidate any prior representations.