sqlite3VdbeAddOp2(v, OP_Goto, 0, addr);
  }
}

/*
** This function is called as part of generating VM programs for RANGE
** offset PRECEDING/FOLLOWING frame boundaries. Assuming "ASC" order for
** the ORDER BY term in the window, it generates code equivalent to:

**
**   if( csr1.peerVal + regVal >= csr2.peerVal ) goto lbl;
**











** A special type of arithmetic is used such that if csr.peerVal is not
** a numeric type (real or integer), then the result of the addition is
** a copy of csr1.peerVal.
*/
static void windowCodeRangeTest(
  WindowCodeArg *p, 
  int op,                          /* OP_Ge, OP_Gt, or OP_Le */
  int csr1, 
  int regVal, 
  int csr2,
  int lbl
){
  Parse *pParse = p->pParse;
  Vdbe *v = sqlite3GetVdbe(pParse);
  int reg1 = sqlite3GetTempReg(pParse);
  int reg2 = sqlite3GetTempReg(pParse);
  int arith = OP_Add;
  int addrGe;
  ExprList *pOrderBy = p->pMWin->pOrderBy;

  int regString = ++pParse->nMem;

  assert( op==OP_Ge || op==OP_Gt || op==OP_Le );
  assert( pOrderBy && pOrderBy->nExpr==1 );
  if( pOrderBy->a[0].sortFlags & KEYINFO_ORDER_DESC ){
    switch( op ){
      case OP_Ge: op = OP_Le; break;
      case OP_Gt: op = OP_Lt; break;
      default: assert( op==OP_Le ); op = OP_Ge; break;
    }
    arith = OP_Subtract;
  }


  windowReadPeerValues(p, csr1, reg1);
  windowReadPeerValues(p, csr2, reg2);

  /* Check if the peer value for csr1 value is a text or blob by comparing
  ** it to the smallest possible string - ''. If it is, jump over the
  ** OP_Add or OP_Subtract operation and proceed directly to the comparison. */















  sqlite3VdbeAddOp4(v, OP_String8, 0, regString, 0, "", P4_STATIC);
  addrGe = sqlite3VdbeAddOp3(v, OP_Ge, regString, 0, reg1);
  VdbeCoverage(v);
  sqlite3VdbeAddOp3(v, arith, regVal, reg1, reg1);
  sqlite3VdbeJumpHere(v, addrGe);




















  if( pOrderBy->a[0].sortFlags & KEYINFO_ORDER_BIGNULL ){
    int addr;

    addr = sqlite3VdbeAddOp1(v, OP_NotNull, reg1); VdbeCoverage(v);
    switch( op ){

      case OP_Ge: sqlite3VdbeAddOp2(v, OP_Goto, 0, lbl); break;

      case OP_Gt: 
        sqlite3VdbeAddOp2(v, OP_NotNull, reg2, lbl); VdbeCoverage(v); 
        break;
      default:
        assert( op==OP_Le );
        sqlite3VdbeAddOp2(v, OP_IsNull, reg2, lbl); VdbeCoverage(v); 
        break;
    }
    sqlite3VdbeAddOp2(v, OP_Goto, 0, sqlite3VdbeCurrentAddr(v)+2);


    sqlite3VdbeJumpHere(v, addr);
    sqlite3VdbeAddOp2(v, OP_IsNull, reg2, lbl); VdbeCoverage(v);
    if( op==OP_Gt || op==OP_Ge ){
      sqlite3VdbeChangeP2(v, -1, sqlite3VdbeCurrentAddr(v)+1);
    }
  }




  sqlite3VdbeAddOp3(v, op, reg2, lbl, reg1); VdbeCoverage(v);
  sqlite3VdbeChangeP5(v, SQLITE_NULLEQ);

  assert( op==OP_Ge || op==OP_Gt || op==OP_Lt || op==OP_Le );
  testcase(op==OP_Ge); VdbeCoverageIf(v, op==OP_Ge);
  testcase(op==OP_Lt); VdbeCoverageIf(v, op==OP_Lt);
  testcase(op==OP_Le); VdbeCoverageIf(v, op==OP_Le);
  testcase(op==OP_Gt); VdbeCoverageIf(v, op==OP_Gt);

  sqlite3ReleaseTempReg(pParse, reg1);
  sqlite3ReleaseTempReg(pParse, reg2);


}

/*
** Helper function for sqlite3WindowCodeStep(). Each call to this function
** generates VM code for a single RETURN_ROW, AGGSTEP or AGGINVERSE 
** operation. Refer to the header comment for sqlite3WindowCodeStep() for
** details.

    sqlite3VdbeAddOp2(v, OP_Goto, 0, addr);
  }
}

/*
** This function is called as part of generating VM programs for RANGE
** offset PRECEDING/FOLLOWING frame boundaries. Assuming "ASC" order for
** the ORDER BY term in the window, and that argument op is OP_Ge, it generates
** code equivalent to:
**
**   if( csr1.peerVal + regVal >= csr2.peerVal ) goto lbl;
**
** The value of parameter op may also be OP_Gt or OP_Le. In these cases the
** operator in the above pseudo-code is replaced with ">" or "<=", respectively.
**
** If the sort-order for the ORDER BY term in the window is DESC, then the
** comparison is reversed. Instead of adding regVal to csr1.peerVal, it is
** subtracted. And the comparison operator is inverted to - ">=" becomes "<=",
** ">" becomes "<", and so on. So, with DESC sort order, if the argument op
** is OP_Ge, the generated code is equivalent to:
**
**   if( csr1.peerVal - regVal <= csr2.peerVal ) goto lbl;
**
** A special type of arithmetic is used such that if csr1.peerVal is not
** a numeric type (real or integer), then the result of the addition addition
** or subtraction is a a copy of csr1.peerVal.
*/
static void windowCodeRangeTest(
  WindowCodeArg *p, 
  int op,                          /* OP_Ge, OP_Gt, or OP_Le */
  int csr1,                        /* Cursor number for cursor 1 */
  int regVal,                      /* Register containing non-negative number */
  int csr2,                        /* Cursor number for cursor 2 */
  int lbl                          /* Jump destination if the condition is true */
){
  Parse *pParse = p->pParse;
  Vdbe *v = sqlite3GetVdbe(pParse);
  ExprList *pOrderBy = p->pMWin->pOrderBy;  /* ORDER BY clause for this window */
  int reg1 = sqlite3GetTempReg(pParse);     /* Register for csr1.peerVal+regVal */
  int reg2 = sqlite3GetTempReg(pParse);     /* Regiser for csr2.peerVal */
  int regString = ++pParse->nMem;           /* Register for constant value '' */
  int arith = OP_Add;                       /* OP_Add or OP_Subtract */
  int addrGe;                               /* Jump destination */


  assert( op==OP_Ge || op==OP_Gt || op==OP_Le );
  assert( pOrderBy && pOrderBy->nExpr==1 );
  if( pOrderBy->a[0].sortFlags & KEYINFO_ORDER_DESC ){
    switch( op ){
      case OP_Ge: op = OP_Le; break;
      case OP_Gt: op = OP_Lt; break;
      default: assert( op==OP_Le ); op = OP_Ge; break;
    }
    arith = OP_Subtract;
  }

  /* Read the peer-value from each cursor into a register */
  windowReadPeerValues(p, csr1, reg1);
  windowReadPeerValues(p, csr2, reg2);

  VdbeModuleComment((v, "CodeRangeTest: if( R%d %s R%d %s R%d ) goto lbl",
      reg1, (arith==OP_Add ? "+" : "-"), regVal,
      ((op==OP_Ge) ? ">=" : (op==OP_Le) ? "<=" : (op==OP_Gt) ? ">" : "<"), reg2
  ));

  /* Register reg1 currently contains csr1.peerVal (the peer-value from csr1).
  ** This block adds (or subtracts for DESC) the numeric value in regVal
  ** from it. Or, if reg1 is not numeric (it is a NULL, a text value or a blob),
  ** then leave reg1 as it is. In pseudo-code, this is implemented as:
  **
  **   if( reg1>='' ) goto addrGe;
  **   reg1 = reg1 +/- regVal
  **   addrGe:
  **
  ** Since all strings and blobs are greater-than-or-equal-to an empty string,
  ** the add/subtract is skipped for these, as required. If reg1 is a NULL,
  ** then the arithmetic is performed, but since adding or subtracting from
  ** NULL is always NULL anyway, this case is handled as required too.  */
  sqlite3VdbeAddOp4(v, OP_String8, 0, regString, 0, "", P4_STATIC);
  addrGe = sqlite3VdbeAddOp3(v, OP_Ge, regString, 0, reg1);
  VdbeCoverage(v);
  sqlite3VdbeAddOp3(v, arith, regVal, reg1, reg1);
  sqlite3VdbeJumpHere(v, addrGe);

  /* If the BIGNULL flag is set for the ORDER BY, then it is required to 
  ** consider NULL values to be larger than all other values, instead of 
  ** the usual smaller. The VDBE opcodes OP_Ge and so on do not handle this
  ** (and adding that capability causes a performance regression), so
  ** instead if the BIGNULL flag is set then cases where either reg1 or
  ** reg2 are NULL are handled separately in the following block. The code
  ** generated is equivalent to:
  **
  **   if( reg1 IS NULL ){
  **     if( op==OP_Gt ) goto lbl;
  **     if( op==OP_Ge && reg2 IS NOT NULL ) goto lbl;
  **     if( op==OP_Le && reg2 IS NULL ) goto lbl;
  **   }else if( reg2 IS NULL ){
  **     if( op==OP_Le ) goto lbl;
  **   }
  **
  ** Additionally, if either reg1 or reg2 are NULL but the jump to lbl is 
  ** not taken, control jumps over the comparison operator coded below this
  ** block.  */
  if( pOrderBy->a[0].sortFlags & KEYINFO_ORDER_BIGNULL ){

    /* This block runs if reg1 contains a NULL. */
    int addr = sqlite3VdbeAddOp1(v, OP_NotNull, reg1); VdbeCoverage(v);
    switch( op ){
      case OP_Ge: 
        sqlite3VdbeAddOp2(v, OP_Goto, 0, lbl); 
        break;
      case OP_Gt: 
        sqlite3VdbeAddOp2(v, OP_NotNull, reg2, lbl); VdbeCoverage(v); 
        break;

      default: assert( op==OP_Le );
        sqlite3VdbeAddOp2(v, OP_IsNull, reg2, lbl); VdbeCoverage(v); 
        break;
    }
    sqlite3VdbeAddOp2(v, OP_Goto, 0, sqlite3VdbeCurrentAddr(v)+3);

    /* This block runs if reg1 is not NULL, but reg2 is. */
    sqlite3VdbeJumpHere(v, addr);
    sqlite3VdbeAddOp2(v, OP_IsNull, reg2, lbl); VdbeCoverage(v);
    if( op==OP_Gt || op==OP_Ge ){
      sqlite3VdbeChangeP2(v, -1, sqlite3VdbeCurrentAddr(v)+1);
    }
  }

  /* Compare registers reg2 and reg1, taking the jump if required. Note that
  ** control skips over this test if the BIGNULL flag is set and either
  ** reg1 or reg2 contain a NULL value.  */
  sqlite3VdbeAddOp3(v, op, reg2, lbl, reg1); VdbeCoverage(v);
  sqlite3VdbeChangeP5(v, SQLITE_NULLEQ);

  assert( op==OP_Ge || op==OP_Gt || op==OP_Lt || op==OP_Le );
  testcase(op==OP_Ge); VdbeCoverageIf(v, op==OP_Ge);
  testcase(op==OP_Lt); VdbeCoverageIf(v, op==OP_Lt);
  testcase(op==OP_Le); VdbeCoverageIf(v, op==OP_Le);
  testcase(op==OP_Gt); VdbeCoverageIf(v, op==OP_Gt);

  sqlite3ReleaseTempReg(pParse, reg1);
  sqlite3ReleaseTempReg(pParse, reg2);

  VdbeModuleComment((v, "CodeRangeTest: end"));
}

/*
** Helper function for sqlite3WindowCodeStep(). Each call to this function
** generates VM code for a single RETURN_ROW, AGGSTEP or AGGINVERSE 
** operation. Refer to the header comment for sqlite3WindowCodeStep() for
** details.

  ) FROM t1 ORDER BY 1 NULLS FIRST;
}
execsql_test 4.4.4 {
  SELECT sum(b) OVER (
    ORDER BY a DESC NULLS LAST ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
  ) FROM t1 ORDER BY 1 NULLS LAST;
}













==========

execsql_test 5.0 {
  INSERT INTO t3 VALUES
    (NULL, 'bb', 355), (NULL, 'cc', 158), (NULL, 'aa', 399), 
    ('JJ', NULL, 839), ('FF', NULL, 618), ('BB', NULL, 393), 
................................................................................
execsql_test 6.2 {
  SELECT string_agg(a, '.') OVER (
    ORDER BY b DESC NULLS LAST RANGE BETWEEN 7 PRECEDING AND 2 PRECEDING
  )
  FROM t2
}




finish_test

  ) FROM t1 ORDER BY 1 NULLS FIRST;
}
execsql_test 4.4.4 {
  SELECT sum(b) OVER (
    ORDER BY a DESC NULLS LAST ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
  ) FROM t1 ORDER BY 1 NULLS LAST;
}

execsql_test 4.5.1 {
  SELECT sum(b) OVER (
    ORDER BY a ASC  NULLS LAST RANGE BETWEEN UNBOUNDED PRECEDING AND 10 FOLLOWING
  ) FROM t1 ORDER BY 1 NULLS LAST;
}
execsql_test 4.5.2 {
  SELECT sum(b) OVER (
    ORDER BY a DESC NULLS FIRST RANGE 
    BETWEEN UNBOUNDED PRECEDING AND 10 FOLLOWING
  ) FROM t1 ORDER BY 1 NULLS LAST;
}

==========

execsql_test 5.0 {
  INSERT INTO t3 VALUES
    (NULL, 'bb', 355), (NULL, 'cc', 158), (NULL, 'aa', 399), 
    ('JJ', NULL, 839), ('FF', NULL, 618), ('BB', NULL, 393), 
................................................................................
execsql_test 6.2 {
  SELECT string_agg(a, '.') OVER (
    ORDER BY b DESC NULLS LAST RANGE BETWEEN 7 PRECEDING AND 2 PRECEDING
  )
  FROM t2
}

==========


finish_test

} {5   6   8   9   10}

do_execsql_test 4.4.4 {
  SELECT sum(b) OVER (
    ORDER BY a DESC NULLS LAST ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
  ) FROM t1 ORDER BY 1 NULLS LAST;
} {5   6   8   9   10}














#==========================================================================

do_execsql_test 5.0 {
  INSERT INTO t3 VALUES
    (NULL, 'bb', 355), (NULL, 'cc', 158), (NULL, 'aa', 399), 
    ('JJ', NULL, 839), ('FF', NULL, 618), ('BB', NULL, 393), 
................................................................................

do_execsql_test 6.2 {
  SELECT group_concat(a, '.') OVER (
    ORDER BY b DESC NULLS LAST RANGE BETWEEN 7 PRECEDING AND 2 PRECEDING
  )
  FROM t2
} {{}   A.B   A.B}



finish_test

} {5   6   8   9   10}

do_execsql_test 4.4.4 {
  SELECT sum(b) OVER (
    ORDER BY a DESC NULLS LAST ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
  ) FROM t1 ORDER BY 1 NULLS LAST;
} {5   6   8   9   10}

do_execsql_test 4.5.1 {
  SELECT sum(b) OVER (
    ORDER BY a ASC  NULLS LAST RANGE BETWEEN UNBOUNDED PRECEDING AND 10 FOLLOWING
  ) FROM t1 ORDER BY 1 NULLS LAST;
} {9   9   15   15   15}

do_execsql_test 4.5.2 {
  SELECT sum(b) OVER (
    ORDER BY a DESC NULLS FIRST RANGE 
    BETWEEN UNBOUNDED PRECEDING AND 10 FOLLOWING
  ) FROM t1 ORDER BY 1 NULLS LAST;
} {6   6   6   15   15}

#==========================================================================

do_execsql_test 5.0 {
  INSERT INTO t3 VALUES
    (NULL, 'bb', 355), (NULL, 'cc', 158), (NULL, 'aa', 399), 
    ('JJ', NULL, 839), ('FF', NULL, 618), ('BB', NULL, 393), 
................................................................................

do_execsql_test 6.2 {
  SELECT group_concat(a, '.') OVER (
    ORDER BY b DESC NULLS LAST RANGE BETWEEN 7 PRECEDING AND 2 PRECEDING
  )
  FROM t2
} {{}   A.B   A.B}

#==========================================================================

finish_test