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Overview
Comment:Fix all known instances of signed-integer overflow. Within SQL expressions, integer overflow now forces coercion to floating point. The shift operators work with any integer right-hand operand with negative values reversing the direction of the shift.
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SHA1: abf21394124a0af46f072793718964cee2ce55d0
User & Date: drh 2011-03-05 20:59:46.394
Context
2011-03-05
21:41
Simplifications to the overflow-free multiplier. Also remove some commented-out code that was left in that subroutine by mistake on the previous check-in. (check-in: 55fc25fdab user: drh tags: trunk)
20:59
Fix all known instances of signed-integer overflow. Within SQL expressions, integer overflow now forces coercion to floating point. The shift operators work with any integer right-hand operand with negative values reversing the direction of the shift. (check-in: abf2139412 user: drh tags: trunk)
13:54
Fix an instance of signed arithmetic overflow and an one bit-shift overflow. Mark six other signed arithmetic overflow locations that need fixing. (check-in: 04abab71ec user: drh tags: trunk)
Changes
Unified Diff Ignore Whitespace Patch
Changes to src/expr.c.
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    int c;
    i64 value;
    const char *z = pExpr->u.zToken;
    assert( z!=0 );
    c = sqlite3Atoi64(z, &value, sqlite3Strlen30(z), SQLITE_UTF8);
    if( c==0 || (c==2 && negFlag) ){
      char *zV;
      if( negFlag ){ value = -value; } /* CLANG */
      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
      codeReal(v, z, negFlag, iMem);







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    int c;
    i64 value;
    const char *z = pExpr->u.zToken;
    assert( z!=0 );
    c = sqlite3Atoi64(z, &value, sqlite3Strlen30(z), SQLITE_UTF8);
    if( c==0 || (c==2 && negFlag) ){
      char *zV;
      if( negFlag ){ value = c==2 ? SMALLEST_INT64 : -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
      codeReal(v, z, negFlag, iMem);
Changes to src/func.c.
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  p = sqlite3_aggregate_context(context, sizeof(*p));
  type = sqlite3_value_numeric_type(argv[0]);
  if( p && type!=SQLITE_NULL ){
    p->cnt++;
    if( type==SQLITE_INTEGER ){
      i64 v = sqlite3_value_int64(argv[0]);
      p->rSum += v;
      if( (p->approx|p->overflow)==0 ){
        i64 iNewSum = p->iSum + v;    /* CLANG */
        int s1 = (int)(p->iSum >> (sizeof(i64)*8-1));
        int s2 = (int)(v       >> (sizeof(i64)*8-1));
        int s3 = (int)(iNewSum >> (sizeof(i64)*8-1));
        p->overflow = ((s1&s2&~s3) | (~s1&~s2&s3))?1:0;
        p->iSum = iNewSum;
      }
    }else{
      p->rSum += sqlite3_value_double(argv[0]);
      p->approx = 1;
    }
  }
}







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  p = sqlite3_aggregate_context(context, sizeof(*p));
  type = sqlite3_value_numeric_type(argv[0]);
  if( p && type!=SQLITE_NULL ){
    p->cnt++;
    if( type==SQLITE_INTEGER ){
      i64 v = sqlite3_value_int64(argv[0]);
      p->rSum += v;
      if( (p->approx|p->overflow)==0 && sqlite3AddInt64(&p->iSum, v) ){




        p->overflow = 1;

      }
    }else{
      p->rSum += sqlite3_value_double(argv[0]);
      p->approx = 1;
    }
  }
}
Changes to src/printf.c.
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            v = va_arg(ap,i64);
          }else if( flag_long ){
            v = va_arg(ap,long int);
          }else{
            v = va_arg(ap,int);
          }
          if( v<0 ){



            longvalue = -v;  /* CLANG */

            prefix = '-';
          }else{
            longvalue = v;
            if( flag_plussign )        prefix = '+';
            else if( flag_blanksign )  prefix = ' ';
            else                       prefix = 0;
          }







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            v = va_arg(ap,i64);
          }else if( flag_long ){
            v = va_arg(ap,long int);
          }else{
            v = va_arg(ap,int);
          }
          if( v<0 ){
            if( v==SMALLEST_INT64 ){
              longvalue = ((u64)1)<<63;
            }else{
              longvalue = -v;
            }
            prefix = '-';
          }else{
            longvalue = v;
            if( flag_plussign )        prefix = '+';
            else if( flag_blanksign )  prefix = ' ';
            else                       prefix = 0;
          }
Changes to src/sqliteInt.h.
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CollSeq *sqlite3LocateCollSeq(Parse *pParse, const char*zName);
CollSeq *sqlite3ExprCollSeq(Parse *pParse, Expr *pExpr);
Expr *sqlite3ExprSetColl(Expr*, CollSeq*);
Expr *sqlite3ExprSetCollByToken(Parse *pParse, Expr*, Token*);
int sqlite3CheckCollSeq(Parse *, CollSeq *);
int sqlite3CheckObjectName(Parse *, const char *);
void sqlite3VdbeSetChanges(sqlite3 *, int);




const void *sqlite3ValueText(sqlite3_value*, u8);
int sqlite3ValueBytes(sqlite3_value*, u8);
void sqlite3ValueSetStr(sqlite3_value*, int, const void *,u8, 
                        void(*)(void*));
void sqlite3ValueFree(sqlite3_value*);
sqlite3_value *sqlite3ValueNew(sqlite3 *);







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CollSeq *sqlite3LocateCollSeq(Parse *pParse, const char*zName);
CollSeq *sqlite3ExprCollSeq(Parse *pParse, Expr *pExpr);
Expr *sqlite3ExprSetColl(Expr*, CollSeq*);
Expr *sqlite3ExprSetCollByToken(Parse *pParse, Expr*, Token*);
int sqlite3CheckCollSeq(Parse *, CollSeq *);
int sqlite3CheckObjectName(Parse *, const char *);
void sqlite3VdbeSetChanges(sqlite3 *, int);
int sqlite3AddInt64(i64*,i64);
int sqlite3SubInt64(i64*,i64);
int sqlite3MulInt64(i64*,i64);

const void *sqlite3ValueText(sqlite3_value*, u8);
int sqlite3ValueBytes(sqlite3_value*, u8);
void sqlite3ValueSetStr(sqlite3_value*, int, const void *,u8, 
                        void(*)(void*));
void sqlite3ValueFree(sqlite3_value*);
sqlite3_value *sqlite3ValueNew(sqlite3 *);
Changes to src/util.c.
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    testcase( c==(+1) );
  }
  return c;
}


/*
** Convert zNum to a 64-bit signed integer and write


** the value of the integer into *pNum.

** If zNum is exactly 9223372036854665808, return 2.
** This is a special case as the context will determine

** if it is too big (used as a negative).
** If zNum is not an integer or is an integer that 
** is too large to be expressed with 64 bits,
** then return 1.  Otherwise return 0.
**
** 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; /* assume positive */
  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=='+' ){
    zNum+=incr;
  }
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';  /* CLANG */
  }





  *pNum = neg ? -v : v;  /* CLANG */

  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 guaranteeing that it is too large) */
    return 1;
  }else if( i<19*incr ){
    /* Less than 19 digits, so we know that it fits in 64 bits */

    return 0;
  }else{
    /* 19-digit numbers must be no larger than 9223372036854775807 if positive
    ** or 9223372036854775808 if negative.  Note that 9223372036854665808
    ** is 2^63. Return 1 if to large */
    c=compare2pow63(zNum, incr);

    if( c==0 && neg==0 ) return 2; /* too big, exactly 9223372036854665808 */

    return c<neg ? 0 : 1;










  }
}

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







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    testcase( c==(+1) );
  }
  return c;
}


/*
** Convert zNum to a 64-bit signed integer.
**
** If the zNum value is representable as a 64-bit twos-complement 
** integer, then write that value into *pNum and return 0.
**
** If zNum is exactly 9223372036854665808, return 2.  This special
** case is broken out because while 9223372036854665808 cannot be a 
** signed 64-bit integer, its negative -9223372036854665808 can be.
**
** If zNum is too big for a 64-bit integer and is not

** 9223372036854665808 then return 1.
**
** 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);
  u64 u = 0;
  int neg = 0; /* assume positive */
  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 ){
    if( *zNum=='-' ){
      neg = 1;
      zNum+=incr;
    }else if( *zNum=='+' ){
      zNum+=incr;
    }

  }
  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){
    u = u*10 + c - '0';
  }
  if( u>LARGEST_INT64 ){
    *pNum = SMALLEST_INT64;
  }else if( neg ){
    *pNum = -(i64)u;
  }else{
    *pNum = (i64)u;
  }
  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 guaranteeing that it is too large) */
    return 1;
  }else if( i<19*incr ){
    /* Less than 19 digits, so we know that it fits in 64 bits */
    assert( u<=LARGEST_INT64 );
    return 0;
  }else{

    /* zNum is a 19-digit numbers.  Compare it against 9223372036854775808. */

    c = compare2pow63(zNum, incr);
    if( c<0 ){
      /* zNum is less than 9223372036854775808 so it fits */
      assert( u<=LARGEST_INT64 );
      return 0;
    }else if( c>0 ){
      /* zNum is greater than 9223372036854775808 so it overflows */
      return 1;
    }else{
      /* zNum is exactly 9223372036854775808.  Fits if negative.  The
      ** special case 2 overflow if positive */
      assert( u-1==LARGEST_INT64 );
      assert( (*pNum)==SMALLEST_INT64 );
      return neg ? 0 : 2;
    }
  }
}

/*
** If zNum represents an integer that will fit in 32-bits, then set
** *pValue to that integer and return true.  Otherwise return false.
**
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    testcase( sqlite3GlobalConfig.xLog!=0 );
    logBadConnection("invalid");
    return 0;
  }else{
    return 1;
  }
}



































































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    testcase( sqlite3GlobalConfig.xLog!=0 );
    logBadConnection("invalid");
    return 0;
  }else{
    return 1;
  }
}

/*
** Attempt to add, substract, or multiply the 64-bit signed value iB against
** the other 64-bit signed integer at *pA and store the result in *pA.
** Return 0 on success.  Or if the operation would have resulted in an
** overflow, leave *pA unchanged and return 1.
*/
int sqlite3AddInt64(i64 *pA, i64 iB){
  i64 iA = *pA;
  testcase( iA==0 ); testcase( iA==1 );
  testcase( iB==-1 ); testcase( iB==0 );
  if( iB>=0 ){
    testcase( iA>0 && LARGEST_INT64 - iA == iB );
    testcase( iA>0 && LARGEST_INT64 - iA == iB - 1 );
    if( iA>0 && LARGEST_INT64 - iA < iB ) return 1;
    *pA += iB;
  }else{
    testcase( iA<0 && -(iA + LARGEST_INT64) == iB + 1 );
    testcase( iA<0 && -(iA + LARGEST_INT64) == iB + 2 );
    if( iA<0 && -(iA + LARGEST_INT64) > iB + 1 ) return 1;
    *pA += iB;
  }
  return 0; 
}
int sqlite3SubInt64(i64 *pA, i64 iB){
  testcase( iB==SMALLEST_INT64+1 );
  if( iB==SMALLEST_INT64 ){
    testcase( (*pA)==(-1) ); testcase( (*pA)==0 );
    if( (*pA)>=0 ) return 1;
    *pA -= iB;
    return 0;
  }else{
    return sqlite3AddInt64(pA, -iB);
  }
}
#define TWOPOWER32 (((i64)1)<<32)
#define TWOPOWER31 (((i64)1)<<31)
int sqlite3MulInt64(i64 *pA, i64 iB){
  i64 iA = *pA;
  i64 iA1, iA0, iB1, iB0, r;

//  if( iB==1 ){ return 0; }
//  if( iA==1 ){ *pA = iB; return 0; }
  iA1 = iA/TWOPOWER32;
  iA0 = iA % TWOPOWER32;
  iB1 = iB/TWOPOWER32;
  iB0 = iB % TWOPOWER32;
  if( iA1*iB1 != 0 ) return 1;
  r = iA1*iB0;
  if( sqlite3AddInt64(&r, iA0*iB1) ) return 1;
  testcase( r==(-TWOPOWER31)-1 );
  testcase( r==(-TWOPOWER31) );
  testcase( r==TWOPOWER31 );
  testcase( r==TWOPOWER31-1 );
  if( r<(-TWOPOWER31) || r>=TWOPOWER31 ) return 1;
  r *= TWOPOWER32;
  if( sqlite3AddInt64(&r, iA0*iB0) ) return 1;
  *pA = r;
  return 0;
}
Changes to src/vdbe.c.
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  pOut = &aMem[pOp->p3];
  flags = pIn1->flags | pIn2->flags;
  if( (flags & MEM_Null)!=0 ) goto arithmetic_result_is_null;
  if( (pIn1->flags & pIn2->flags & MEM_Int)==MEM_Int ){
    iA = pIn1->u.i;
    iB = pIn2->u.i;
    switch( pOp->opcode ){
      case OP_Add:         iB += iA;       break;   /* CLANG */
      case OP_Subtract:    iB -= iA;       break;
      case OP_Multiply:    iB *= iA;       break;
      case OP_Divide: {
        if( iA==0 ) goto arithmetic_result_is_null;
        /* Dividing the largest possible negative 64-bit integer (1<<63) by 
        ** -1 returns an integer too large to store in a 64-bit data-type. On
        ** some architectures, the value overflows to (1<<63). On others,
        ** a SIGFPE is issued. The following statement normalizes this
        ** behavior so that all architectures behave as if integer 
        ** overflow occurred.
        */
        if( iA==-1 && iB==SMALLEST_INT64 ) iA = 1;
        iB /= iA;
        break;
      }
      default: {
        if( iA==0 ) goto arithmetic_result_is_null;
        if( iA==-1 ) iA = 1;
        iB %= iA;
        break;
      }
    }
    pOut->u.i = iB;
    MemSetTypeFlag(pOut, MEM_Int);
  }else{

    rA = sqlite3VdbeRealValue(pIn1);
    rB = sqlite3VdbeRealValue(pIn2);
    switch( pOp->opcode ){
      case OP_Add:         rB += rA;       break;
      case OP_Subtract:    rB -= rA;       break;
      case OP_Multiply:    rB *= rA;       break;
      case OP_Divide: {







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  pOut = &aMem[pOp->p3];
  flags = pIn1->flags | pIn2->flags;
  if( (flags & MEM_Null)!=0 ) goto arithmetic_result_is_null;
  if( (pIn1->flags & pIn2->flags & MEM_Int)==MEM_Int ){
    iA = pIn1->u.i;
    iB = pIn2->u.i;
    switch( pOp->opcode ){
      case OP_Add:       if( sqlite3AddInt64(&iB,iA) ) goto fp_math;  break;
      case OP_Subtract:  if( sqlite3SubInt64(&iB,iA) ) goto fp_math;  break;
      case OP_Multiply:  if( sqlite3MulInt64(&iB,iA) ) goto fp_math;  break;
      case OP_Divide: {
        if( iA==0 ) goto arithmetic_result_is_null;







        if( iA==-1 && iB==SMALLEST_INT64 ) goto fp_math;
        iB /= iA;
        break;
      }
      default: {
        if( iA==0 ) goto arithmetic_result_is_null;
        if( iA==-1 ) iA = 1;
        iB %= iA;
        break;
      }
    }
    pOut->u.i = iB;
    MemSetTypeFlag(pOut, MEM_Int);
  }else{
fp_math:
    rA = sqlite3VdbeRealValue(pIn1);
    rB = sqlite3VdbeRealValue(pIn2);
    switch( pOp->opcode ){
      case OP_Add:         rB += rA;       break;
      case OP_Subtract:    rB -= rA;       break;
      case OP_Multiply:    rB *= rA;       break;
      case OP_Divide: {
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** Store the result in register P3.
** If either input is NULL, the result is NULL.
*/
case OP_BitAnd:                 /* same as TK_BITAND, in1, in2, out3 */
case OP_BitOr:                  /* same as TK_BITOR, in1, in2, out3 */
case OP_ShiftLeft:              /* same as TK_LSHIFT, in1, in2, out3 */
case OP_ShiftRight: {           /* same as TK_RSHIFT, in1, in2, out3 */
  i64 a;

  i64 b;


  pIn1 = &aMem[pOp->p1];
  pIn2 = &aMem[pOp->p2];
  pOut = &aMem[pOp->p3];
  if( (pIn1->flags | pIn2->flags) & MEM_Null ){
    sqlite3VdbeMemSetNull(pOut);
    break;
  }
  a = sqlite3VdbeIntValue(pIn2);
  b = sqlite3VdbeIntValue(pIn1);
  switch( pOp->opcode ){
    case OP_BitAnd:      a &= b;     break;





    case OP_BitOr:       a |= b;     break;



    case OP_ShiftLeft:   a <<= b;    break;


    default:  assert( pOp->opcode==OP_ShiftRight );







                         a >>= b;    break;


  }



  pOut->u.i = a;
  MemSetTypeFlag(pOut, MEM_Int);
  break;
}

/* Opcode: AddImm  P1 P2 * * *
** 
** Add the constant P2 to the value in register P1.







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** Store the result in register P3.
** If either input is NULL, the result is NULL.
*/
case OP_BitAnd:                 /* same as TK_BITAND, in1, in2, out3 */
case OP_BitOr:                  /* same as TK_BITOR, in1, in2, out3 */
case OP_ShiftLeft:              /* same as TK_LSHIFT, in1, in2, out3 */
case OP_ShiftRight: {           /* same as TK_RSHIFT, in1, in2, out3 */
  i64 iA;
  u64 uA;
  i64 iB;
  u8 op;

  pIn1 = &aMem[pOp->p1];
  pIn2 = &aMem[pOp->p2];
  pOut = &aMem[pOp->p3];
  if( (pIn1->flags | pIn2->flags) & MEM_Null ){
    sqlite3VdbeMemSetNull(pOut);
    break;
  }
  iA = sqlite3VdbeIntValue(pIn2);
  iB = sqlite3VdbeIntValue(pIn1);
  op = pOp->opcode;
  if( op==OP_BitAnd ){
    iA &= iB;
  }else if( op==OP_BitOr ){
    iA |= iB;
  }else if( iB!=0 ){
    assert( op==OP_ShiftRight || op==OP_ShiftLeft );

    /* If shifting by a negative amount, shift in the other direction */
    if( iB<0 ){
      assert( OP_ShiftRight==OP_ShiftLeft+1 );
      op = 2*OP_ShiftLeft + 1 - op;
      iB = iB>(-64) ? -iB : 64;
    }

    if( iB>=64 ){
      iA = (iA>=0 || op==OP_ShiftLeft) ? 0 : -1;
    }else{
      memcpy(&uA, &iA, sizeof(uA));
      if( op==OP_ShiftLeft ){
        uA <<= iB;
      }else{
        uA >>= iB;
        /* Sign-extend on a right shift of a negative number */
        if( iA<0 ) uA |= ((((u64)0xffffffff)<<32)|0xffffffff) << (64-iB);
      }
      memcpy(&iA, &uA, sizeof(iA));
    }
  }
  pOut->u.i = iA;
  MemSetTypeFlag(pOut, MEM_Int);
  break;
}

/* Opcode: AddImm  P1 P2 * * *
** 
** Add the constant P2 to the value in register P1.
Changes to src/vdbemem.c.
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  assert( EIGHT_BYTE_ALIGNMENT(pMem) );
  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;
  }







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  assert( EIGHT_BYTE_ALIGNMENT(pMem) );
  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 = 0;
    assert( pMem->z || pMem->n==0 );
    testcase( pMem->z==0 );
    sqlite3Atoi64(pMem->z, &value, pMem->n, pMem->enc);
    return value;
  }else{
    return 0;
  }
Changes to test/expr.test.
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test_expr expr-1.41 {i1=1, i2=2} {-(i2+i1)} {-3}
test_expr expr-1.42 {i1=1, i2=2} {i1|i2} {3}
test_expr expr-1.42b {i1=1, i2=2} {4|2} {6}
test_expr expr-1.43 {i1=1, i2=2} {i1&i2} {0}
test_expr expr-1.43b {i1=1, i2=2} {4&5} {4}
test_expr expr-1.44 {i1=1} {~i1} {-2}
test_expr expr-1.44b {i1=NULL} {~i1} {{}}
test_expr expr-1.45 {i1=1, i2=3} {i1<<i2} {8}






test_expr expr-1.46 {i1=32, i2=3} {i1>>i2} {4}




test_expr expr-1.47 {i1=9999999999, i2=8888888888} {i1<i2} 0
test_expr expr-1.48 {i1=9999999999, i2=8888888888} {i1=i2} 0
test_expr expr-1.49 {i1=9999999999, i2=8888888888} {i1>i2} 1
test_expr expr-1.50 {i1=99999999999, i2=99999999998} {i1<i2} 0
test_expr expr-1.51 {i1=99999999999, i2=99999999998} {i1=i2} 0
test_expr expr-1.52 {i1=99999999999, i2=99999999998} {i1>i2} 1
test_expr expr-1.53 {i1=099999999999, i2=99999999999} {i1<i2} 0







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test_expr expr-1.41 {i1=1, i2=2} {-(i2+i1)} {-3}
test_expr expr-1.42 {i1=1, i2=2} {i1|i2} {3}
test_expr expr-1.42b {i1=1, i2=2} {4|2} {6}
test_expr expr-1.43 {i1=1, i2=2} {i1&i2} {0}
test_expr expr-1.43b {i1=1, i2=2} {4&5} {4}
test_expr expr-1.44 {i1=1} {~i1} {-2}
test_expr expr-1.44b {i1=NULL} {~i1} {{}}
test_expr expr-1.45a {i1=1, i2=3} {i1<<i2} {8}
test_expr expr-1.45b {i1=1, i2=-3} {i1>>i2} {8}
test_expr expr-1.45c {i1=1, i2=0} {i1<<i2} {1}
test_expr expr-1.45d {i1=1, i2=62} {i1<<i2} {4611686018427387904}
test_expr expr-1.45e {i1=1, i2=63} {i1<<i2} {-9223372036854775808}
test_expr expr-1.45f {i1=1, i2=64} {i1<<i2} {0}
test_expr expr-1.45g {i1=32, i2=-9223372036854775808} {i1>>i2} {0}
test_expr expr-1.46a {i1=32, i2=3} {i1>>i2} {4}
test_expr expr-1.46b {i1=32, i2=6} {i1>>i2} {0}
test_expr expr-1.46c {i1=-32, i2=3} {i1>>i2} {-4}
test_expr expr-1.46d {i1=-32, i2=100} {i1>>i2} {-1}
test_expr expr-1.46e {i1=32, i2=-3} {i1>>i2} {256}
test_expr expr-1.47 {i1=9999999999, i2=8888888888} {i1<i2} 0
test_expr expr-1.48 {i1=9999999999, i2=8888888888} {i1=i2} 0
test_expr expr-1.49 {i1=9999999999, i2=8888888888} {i1>i2} 1
test_expr expr-1.50 {i1=99999999999, i2=99999999998} {i1<i2} 0
test_expr expr-1.51 {i1=99999999999, i2=99999999998} {i1=i2} 0
test_expr expr-1.52 {i1=99999999999, i2=99999999998} {i1>i2} 1
test_expr expr-1.53 {i1=099999999999, i2=99999999999} {i1<i2} 0
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ifcapable floatingpoint {
  test_expr expr-1.103 {i1=0} {(-2147483648.0 % -1)} 0.0
  test_expr expr-1.104 {i1=0} {(-9223372036854775808.0 % -1)} 0.0
  test_expr expr-1.105 {i1=0} {(-9223372036854775808.0 / -1)>1} 1
}

if {[working_64bit_int]} {
  test_expr expr-1.106 {i1=0} {(1<<63)/-1} -9223372036854775808
}

test_expr expr-1.107 {i1=0} {(1<<63)%-1} 0
test_expr expr-1.108 {i1=0} {1%0} {{}}
test_expr expr-1.109 {i1=0} {1/0} {{}}

if {[working_64bit_int]} {
  test_expr expr-1.110 {i1=0} {-9223372036854775807/-1} 9223372036854775807
}








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ifcapable floatingpoint {
  test_expr expr-1.103 {i1=0} {(-2147483648.0 % -1)} 0.0
  test_expr expr-1.104 {i1=0} {(-9223372036854775808.0 % -1)} 0.0
  test_expr expr-1.105 {i1=0} {(-9223372036854775808.0 / -1)>1} 1
}

if {[working_64bit_int]} {
  test_expr expr-1.106 {i1=0} {-9223372036854775808/-1} 9.22337203685478e+18
}

test_expr expr-1.107 {i1=0} {-9223372036854775808%-1} 0
test_expr expr-1.108 {i1=0} {1%0} {{}}
test_expr expr-1.109 {i1=0} {1/0} {{}}

if {[working_64bit_int]} {
  test_expr expr-1.110 {i1=0} {-9223372036854775807/-1} 9223372036854775807
}

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  {CASE WHEN i1 IS NOT i2 THEN 'yes' ELSE 'no' END} yes
test_expr expr-1.124 {i1=NULL, i2=NULL} \
  {CASE WHEN i1 IS NOT i2 THEN 'yes' ELSE 'no' END} no
test_expr expr-1.125 {i1=6, i2=NULL} \
  {CASE WHEN i1 IS NOT i2 THEN 'yes' ELSE 'no' END} yes
test_expr expr-1.126 {i1=8, i2=8} \
  {CASE WHEN i1 IS NOT i2 THEN 'yes' ELSE 'no' END} no






































































































ifcapable floatingpoint {
  test_expr expr-2.1 {r1=1.23, r2=2.34} {r1+r2} 3.57
  test_expr expr-2.2 {r1=1.23, r2=2.34} {r1-r2} -1.11
  test_expr expr-2.3 {r1=1.23, r2=2.34} {r1*r2} 2.8782
}
set tcl_precision 15







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  {CASE WHEN i1 IS NOT i2 THEN 'yes' ELSE 'no' END} yes
test_expr expr-1.124 {i1=NULL, i2=NULL} \
  {CASE WHEN i1 IS NOT i2 THEN 'yes' ELSE 'no' END} no
test_expr expr-1.125 {i1=6, i2=NULL} \
  {CASE WHEN i1 IS NOT i2 THEN 'yes' ELSE 'no' END} yes
test_expr expr-1.126 {i1=8, i2=8} \
  {CASE WHEN i1 IS NOT i2 THEN 'yes' ELSE 'no' END} no

ifcapable floatingpoint {if {[working_64bit_int]} {
  test_expr expr-1.200\
      {i1=9223372036854775806, i2=1} {i1+i2}      9223372036854775807
  test_expr expr-1.201\
      {i1=9223372036854775806, i2=2} {i1+i2}      9.22337203685478e+18
  test_expr expr-1.202\
      {i1=9223372036854775806, i2=100000} {i1+i2} 9.22337203685488e+18
  test_expr expr-1.203\
      {i1=9223372036854775807, i2=0} {i1+i2}      9223372036854775807
  test_expr expr-1.204\
      {i1=9223372036854775807, i2=1} {i1+i2}      9.22337203685478e+18
  test_expr expr-1.205\
      {i2=9223372036854775806, i1=1} {i1+i2}      9223372036854775807
  test_expr expr-1.206\
      {i2=9223372036854775806, i1=2} {i1+i2}      9.22337203685478e+18
  test_expr expr-1.207\
      {i2=9223372036854775806, i1=100000} {i1+i2} 9.22337203685488e+18
  test_expr expr-1.208\
      {i2=9223372036854775807, i1=0} {i1+i2}      9223372036854775807
  test_expr expr-1.209\
      {i2=9223372036854775807, i1=1} {i1+i2}      9.22337203685478e+18
  test_expr expr-1.210\
      {i1=-9223372036854775807, i2=-1} {i1+i2}    -9223372036854775808
  test_expr expr-1.211\
      {i1=-9223372036854775807, i2=-2} {i1+i2}    -9.22337203685478e+18
  test_expr expr-1.212\
      {i1=-9223372036854775807, i2=-100000} {i1+i2} -9.22337203685488e+18
  test_expr expr-1.213\
      {i1=-9223372036854775808, i2=0} {i1+i2}     -9223372036854775808
  test_expr expr-1.214\
      {i1=-9223372036854775808, i2=-1} {i1+i2}    -9.22337203685478e+18
  test_expr expr-1.215\
      {i2=-9223372036854775807, i1=-1} {i1+i2}    -9223372036854775808
  test_expr expr-1.216\
      {i2=-9223372036854775807, i1=-2} {i1+i2}    -9.22337203685478e+18
  test_expr expr-1.217\
      {i2=-9223372036854775807, i1=-100000} {i1+i2} -9.22337203685488e+18
  test_expr expr-1.218\
      {i2=-9223372036854775808, i1=0} {i1+i2}     -9223372036854775808
  test_expr expr-1.219\
      {i2=-9223372036854775808, i1=-1} {i1+i2}    -9.22337203685478e+18
  test_expr expr-1.220\
      {i1=9223372036854775806, i2=-1} {i1-i2}     9223372036854775807
  test_expr expr-1.221\
      {i1=9223372036854775806, i2=-2} {i1-i2}      9.22337203685478e+18
  test_expr expr-1.222\
      {i1=9223372036854775806, i2=-100000} {i1-i2} 9.22337203685488e+18
  test_expr expr-1.223\
      {i1=9223372036854775807, i2=0} {i1-i2}      9223372036854775807
  test_expr expr-1.224\
      {i1=9223372036854775807, i2=-1} {i1-i2}      9.22337203685478e+18
  test_expr expr-1.225\
      {i2=-9223372036854775806, i1=1} {i1-i2}      9223372036854775807
  test_expr expr-1.226\
      {i2=-9223372036854775806, i1=2} {i1-i2}      9.22337203685478e+18
  test_expr expr-1.227\
      {i2=-9223372036854775806, i1=100000} {i1-i2} 9.22337203685488e+18
  test_expr expr-1.228\
      {i2=-9223372036854775807, i1=0} {i1-i2}      9223372036854775807
  test_expr expr-1.229\
      {i2=-9223372036854775807, i1=1} {i1-i2}      9.22337203685478e+18
  test_expr expr-1.230\
      {i1=-9223372036854775807, i2=1} {i1-i2}    -9223372036854775808
  test_expr expr-1.231\
      {i1=-9223372036854775807, i2=2} {i1-i2}    -9.22337203685478e+18
  test_expr expr-1.232\
      {i1=-9223372036854775807, i2=100000} {i1-i2} -9.22337203685488e+18
  test_expr expr-1.233\
      {i1=-9223372036854775808, i2=0} {i1-i2}     -9223372036854775808
  test_expr expr-1.234\
      {i1=-9223372036854775808, i2=1} {i1-i2}    -9.22337203685478e+18
  test_expr expr-1.235\
      {i2=9223372036854775807, i1=-1} {i1-i2}    -9223372036854775808
  test_expr expr-1.236\
      {i2=9223372036854775807, i1=-2} {i1-i2}    -9.22337203685478e+18
  test_expr expr-1.237\
      {i2=9223372036854775807, i1=-100000} {i1-i2} -9.22337203685488e+18
  test_expr expr-1.238\
      {i2=9223372036854775807, i1=0} {i1-i2}     -9223372036854775807
  test_expr expr-1.239\
      {i2=9223372036854775807, i1=-1} {i1-i2}    -9223372036854775808

  test_expr expr-1.250\
      {i1=4294967296, i2=2147483648} {i1*i2}      9.22337203685478e+18
  test_expr expr-1.251\
      {i1=4294967296, i2=2147483647} {i1*i2}      9223372032559808512
  test_expr expr-1.252\
      {i1=-4294967296, i2=2147483648} {i1*i2}     -9223372036854775808
  test_expr expr-1.253\
      {i1=-4294967296, i2=2147483647} {i1*i2}     -9223372032559808512
  test_expr expr-1.254\
      {i1=4294967296, i2=-2147483648} {i1*i2}     -9223372036854775808
  test_expr expr-1.255\
      {i1=4294967296, i2=-2147483647} {i1*i2}     -9223372032559808512
  test_expr expr-1.256\
      {i1=-4294967296, i2=-2147483648} {i1*i2}    9.22337203685478e+18
  test_expr expr-1.257\
      {i1=-4294967296, i2=-2147483647} {i1*i2}    9223372032559808512

}}

ifcapable floatingpoint {
  test_expr expr-2.1 {r1=1.23, r2=2.34} {r1+r2} 3.57
  test_expr expr-2.2 {r1=1.23, r2=2.34} {r1-r2} -1.11
  test_expr expr-2.3 {r1=1.23, r2=2.34} {r1*r2} 2.8782
}
set tcl_precision 15