pIn1 = &aMem[pOp->p1];
  memAboutToChange(p, pIn1);
  sqlite3VdbeMemIntegerify(pIn1);
  pIn1->u.i += pOp->p2;
  break;
}

/* Opcode: MustBeInt P1 P2 * * *
** 
** Force the value in register P1 to be an integer.  If the value
** in P1 is not an integer and cannot be converted into an integer
** without data loss, then jump immediately to P2, or if P2==0
** raise an SQLITE_MISMATCH exception.




*/
case OP_MustBeInt: {            /* jump, in1 */


  pIn1 = &aMem[pOp->p1];
  if( (pIn1->flags & MEM_Int)==0 ){
    applyAffinity(pIn1, SQLITE_AFF_NUMERIC, encoding);
    VdbeBranchTaken((pIn1->flags&MEM_Int)==0, 2);
    if( (pIn1->flags & MEM_Int)==0 ){
      if( pOp->p2==0 ){
        rc = SQLITE_MISMATCH;
        goto abort_due_to_error;
      }else{
        goto jump_to_p2;
      }
    }
  }
  MemSetTypeFlag(pIn1, MEM_Int);
  break;
}

#ifndef SQLITE_OMIT_FLOATING_POINT
/* Opcode: RealAffinity P1 * * * *
**
** If register P1 holds an integer convert it to a real value.

  pIn1 = &aMem[pOp->p1];
  memAboutToChange(p, pIn1);
  sqlite3VdbeMemIntegerify(pIn1);
  pIn1->u.i += pOp->p2;
  break;
}

/* Opcode: MustBeInt P1 P2 * * P5
** 
** If P5 is 0, force the value in register P1 to be an integer. If 
** the value in P1 is not an integer and cannot be converted into an 
** integer without data loss, then jump immediately to P2, or if P2==0
** raise an SQLITE_MISMATCH exception.
**
** Or, if P5 is non-zero, then force the register in P1 to be a number
** (real or integer). Jump to P2 if this cannot be accomplished without
** data loss. P2 must be non-zero in this case.
*/
case OP_MustBeInt: {            /* jump, in1 */
  u8 f;
  f = (pOp->p5 ? (MEM_Int|MEM_Real) : MEM_Int);
  pIn1 = &aMem[pOp->p1];
  if( (pIn1->flags & f)==0 ){
    applyAffinity(pIn1, SQLITE_AFF_NUMERIC, encoding);
    VdbeBranchTaken((pIn1->flags&f)==0, 2);
    if( (pIn1->flags & f)==0 ){
      if( pOp->p2==0 ){
        rc = SQLITE_MISMATCH;
        goto abort_due_to_error;
      }else{
        goto jump_to_p2;
      }
    }
  }
  if( f==MEM_Int ) MemSetTypeFlag(pIn1, MEM_Int);
  break;
}

#ifndef SQLITE_OMIT_FLOATING_POINT
/* Opcode: RealAffinity P1 * * * *
**
** If register P1 holds an integer convert it to a real value.

      assert( pMWin->iEphCsr );
      pWin->csrApp = pParse->nTab++;
      sqlite3VdbeAddOp2(v, OP_OpenDup, pWin->csrApp, pMWin->iEphCsr);
    }
  }
}







/*
** A "PRECEDING <expr>" (eCond==0) or "FOLLOWING <expr>" (eCond==1) or the
** value of the second argument to nth_value() (eCond==2) has just been
** evaluated and the result left in register reg. This function generates VM
** code to check that the value is a non-negative integer and throws an
** exception if it is not.
*/
static void windowCheckIntValue(Parse *pParse, int reg, int eCond){
  static const char *azErr[] = {
    "frame starting offset must be a non-negative integer",
    "frame ending offset must be a non-negative integer",
    "second argument to nth_value must be a positive integer"


  };
  static int aOp[] = { OP_Ge, OP_Ge, OP_Gt };
  Vdbe *v = sqlite3GetVdbe(pParse);
  int regZero = sqlite3GetTempReg(pParse);
  assert( eCond==0 || eCond==1 || eCond==2 );

  sqlite3VdbeAddOp2(v, OP_Integer, 0, regZero);
  sqlite3VdbeAddOp2(v, OP_MustBeInt, reg, sqlite3VdbeCurrentAddr(v)+2);

  VdbeCoverageIf(v, eCond==0);
  VdbeCoverageIf(v, eCond==1);
  VdbeCoverageIf(v, eCond==2);
  sqlite3VdbeAddOp3(v, aOp[eCond], regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
  VdbeCoverageNeverNullIf(v, eCond==0);
  VdbeCoverageNeverNullIf(v, eCond==1);
  VdbeCoverageNeverNullIf(v, eCond==2);
................................................................................
      int csr = pWin->csrApp;
      int lbl = sqlite3VdbeMakeLabel(pParse);
      int tmpReg = sqlite3GetTempReg(pParse);
      sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);

      if( pFunc->zName==nth_valueName ){
        sqlite3VdbeAddOp3(v, OP_Column, pMWin->iEphCsr, pWin->iArgCol+1,tmpReg);
        windowCheckIntValue(pParse, tmpReg, 2);
      }else{
        sqlite3VdbeAddOp2(v, OP_Integer, 1, tmpReg);
      }
      sqlite3VdbeAddOp3(v, OP_Add, tmpReg, pWin->regApp, tmpReg);
      sqlite3VdbeAddOp3(v, OP_Gt, pWin->regApp+1, lbl, tmpReg);
      VdbeCoverageNeverNull(v);
      sqlite3VdbeAddOp3(v, OP_SeekRowid, csr, 0, tmpReg);
................................................................................
  addrIfNot = sqlite3VdbeAddOp1(v, OP_IfNot, pMWin->regFirst);

  /* This block is run for the first row of each partition */
  s.regArg = windowInitAccum(pParse, pMWin);

  if( regStart ){
    sqlite3ExprCode(pParse, pMWin->pStart, regStart);
    windowCheckIntValue(pParse, regStart, 0);
  }
  if( regEnd ){
    sqlite3ExprCode(pParse, pMWin->pEnd, regEnd);
    windowCheckIntValue(pParse, regEnd, 1);
  }

  if( pMWin->eStart==pMWin->eEnd && regStart && regEnd ){
    int op = ((pMWin->eStart==TK_FOLLOWING) ? OP_Ge : OP_Le);
    int addrGe = sqlite3VdbeAddOp3(v, op, regStart, 0, regEnd);
    windowAggFinal(pParse, pMWin, 0);
    sqlite3VdbeAddOp2(v, OP_Rewind, s.current.csr, 1);

      assert( pMWin->iEphCsr );
      pWin->csrApp = pParse->nTab++;
      sqlite3VdbeAddOp2(v, OP_OpenDup, pWin->csrApp, pMWin->iEphCsr);
    }
  }
}

#define WINDOW_STARTING_INT  0
#define WINDOW_ENDING_INT    1
#define WINDOW_NTH_VALUE_INT 2
#define WINDOW_STARTING_NUM  3
#define WINDOW_ENDING_NUM    4

/*
** A "PRECEDING <expr>" (eCond==0) or "FOLLOWING <expr>" (eCond==1) or the
** value of the second argument to nth_value() (eCond==2) has just been
** evaluated and the result left in register reg. This function generates VM
** code to check that the value is a non-negative integer and throws an
** exception if it is not.
*/
static void windowCheckValue(Parse *pParse, int reg, int eCond){
  static const char *azErr[] = {
    "frame starting offset must be a non-negative integer",
    "frame ending offset must be a non-negative integer",
    "second argument to nth_value must be a positive integer",
    "frame starting offset must be a non-negative number",
    "frame ending offset must be a non-negative number",
  };
  static int aOp[] = { OP_Ge, OP_Ge, OP_Gt, OP_Ge, OP_Ge };
  Vdbe *v = sqlite3GetVdbe(pParse);
  int regZero = sqlite3GetTempReg(pParse);

  assert( eCond>=0 && eCond<ArraySize(azErr) );
  sqlite3VdbeAddOp2(v, OP_Integer, 0, regZero);
  sqlite3VdbeAddOp2(v, OP_MustBeInt, reg, sqlite3VdbeCurrentAddr(v)+2);
  if( eCond>=WINDOW_STARTING_NUM ) sqlite3VdbeChangeP5(v, 1);
  VdbeCoverageIf(v, eCond==0);
  VdbeCoverageIf(v, eCond==1);
  VdbeCoverageIf(v, eCond==2);
  sqlite3VdbeAddOp3(v, aOp[eCond], regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
  VdbeCoverageNeverNullIf(v, eCond==0);
  VdbeCoverageNeverNullIf(v, eCond==1);
  VdbeCoverageNeverNullIf(v, eCond==2);
................................................................................
      int csr = pWin->csrApp;
      int lbl = sqlite3VdbeMakeLabel(pParse);
      int tmpReg = sqlite3GetTempReg(pParse);
      sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);

      if( pFunc->zName==nth_valueName ){
        sqlite3VdbeAddOp3(v, OP_Column, pMWin->iEphCsr, pWin->iArgCol+1,tmpReg);
        windowCheckValue(pParse, tmpReg, 2);
      }else{
        sqlite3VdbeAddOp2(v, OP_Integer, 1, tmpReg);
      }
      sqlite3VdbeAddOp3(v, OP_Add, tmpReg, pWin->regApp, tmpReg);
      sqlite3VdbeAddOp3(v, OP_Gt, pWin->regApp+1, lbl, tmpReg);
      VdbeCoverageNeverNull(v);
      sqlite3VdbeAddOp3(v, OP_SeekRowid, csr, 0, tmpReg);
................................................................................
  addrIfNot = sqlite3VdbeAddOp1(v, OP_IfNot, pMWin->regFirst);

  /* This block is run for the first row of each partition */
  s.regArg = windowInitAccum(pParse, pMWin);

  if( regStart ){
    sqlite3ExprCode(pParse, pMWin->pStart, regStart);
    windowCheckValue(pParse, regStart, 0 + (pMWin->eType==TK_RANGE ? 3 : 0));
  }
  if( regEnd ){
    sqlite3ExprCode(pParse, pMWin->pEnd, regEnd);
    windowCheckValue(pParse, regEnd, 1 + (pMWin->eType==TK_RANGE ? 3 : 0));
  }

  if( pMWin->eStart==pMWin->eEnd && regStart && regEnd ){
    int op = ((pMWin->eStart==TK_FOLLOWING) ? OP_Ge : OP_Le);
    int addrGe = sqlite3VdbeAddOp3(v, op, regStart, 0, regEnd);
    windowAggFinal(pParse, pMWin, 0);
    sqlite3VdbeAddOp2(v, OP_Rewind, s.current.csr, 1);

  "
}

==========

execsql_test 2.0 {
  DROP TABLE IF EXISTS t1;
  CREATE TABLE t1(a INTEGER, b INTEGER);
  INSERT INTO t1 VALUES
      (5, 10), (10, 20), (13, 26), (13, 26), 
      (15, 30), (20, 40), (22,80), (30, 90);
}

foreach {tn frame} {
  1 { ORDER BY a RANGE BETWEEN 5 PRECEDING AND 5 FOLLOWING }
  2 { ORDER BY a RANGE BETWEEN 10 PRECEDING AND 5 PRECEDING }
  3 { ORDER BY a RANGE BETWEEN 2 FOLLOWING AND 3 FOLLOWING }
  4 { ORDER BY a DESC RANGE BETWEEN 5 PRECEDING AND 5 FOLLOWING }
  5 { ORDER BY a DESC RANGE BETWEEN 10 PRECEDING AND 5 PRECEDING }
  6 { ORDER BY a DESC RANGE BETWEEN 2 FOLLOWING AND 3 FOLLOWING }







} {

  execsql_test 2.$tn "SELECT a, sum(b) OVER win FROM t1 WINDOW win AS ($frame)"

}


finish_test

  "
}

==========

execsql_test 2.0 {
  DROP TABLE IF EXISTS t1;
  CREATE TABLE t1(a REAL, b INTEGER);
  INSERT INTO t1 VALUES
      (5, 10), (10, 20), (13, 26), (13, 26), 
      (15, 30), (20, 40), (22,80), (30, 90);
}

foreach {tn frame} {
  1 { ORDER BY a RANGE BETWEEN 5 PRECEDING AND 5 FOLLOWING }
  2 { ORDER BY a RANGE BETWEEN 10 PRECEDING AND 5 PRECEDING }
  3 { ORDER BY a RANGE BETWEEN 2 FOLLOWING AND 3 FOLLOWING }
  4 { ORDER BY a DESC RANGE BETWEEN 5 PRECEDING AND 5 FOLLOWING }
  5 { ORDER BY a DESC RANGE BETWEEN 10 PRECEDING AND 5 PRECEDING }
  6 { ORDER BY a DESC RANGE BETWEEN 2 FOLLOWING AND 3 FOLLOWING }

  7  { ORDER BY a RANGE BETWEEN 5.1 PRECEDING AND 5.3 FOLLOWING }
  8  { ORDER BY a RANGE BETWEEN 10.2 PRECEDING AND 5.4 PRECEDING }
  9  { ORDER BY a RANGE BETWEEN 2.6 FOLLOWING AND 3.5 FOLLOWING }
  10 { ORDER BY a DESC RANGE BETWEEN 5.7 PRECEDING AND 5.8 FOLLOWING }
  11 { ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND 5.9 PRECEDING }
  12 { ORDER BY a DESC RANGE BETWEEN 2.1 FOLLOWING AND UNBOUNDED FOLLOWING }
} {
  execsql_test 2.$tn "
    SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ($frame)
  "
}


finish_test

  SELECT a, b, min(c) OVER (ORDER BY a,b  GROUPS BETWEEN 1 FOLLOWING         AND UNBOUNDED FOLLOWING ) FROM t3 ORDER BY 1, 2, 3;
} {AA aa 102   AA aa 102   AA aa 102   AA aa 102   AA bb 102   AA bb 102   AA bb 102   AA bb 102   BB aa 102   BB aa 102   BB aa 102   BB aa 102   BB aa 102   BB aa 102   BB bb 102   BB bb 102   BB bb 102   BB bb 102   BB bb 102   BB bb 102   CC aa 102   CC aa 102   CC aa 102   CC aa 102   CC bb 102   CC bb 102   DD aa 102   DD aa 102   DD aa 102   DD bb 102   DD bb 102   DD bb 102   DD bb 102   EE aa 102   EE aa 102   EE bb 102   EE bb 102   EE bb 102   FF aa 102   FF aa 102   FF aa 102   FF aa 102   FF bb 113   FF bb 113   FF bb 113   FF bb 113   FF bb 113   FF bb 113   GG aa 113   GG aa 113   GG aa 113   GG aa 113   GG bb 113   GG bb 113   GG bb 113   GG bb 113   HH aa 113   HH aa 113   HH aa 113   HH bb 113   HH bb 113   HH bb 113   HH bb 113   HH bb 113   HH bb 113   II aa 113   II aa 113   II bb 113   II bb 113   II bb 113   II bb 113   II bb 113   JJ aa 257   JJ aa 257   JJ aa 257   JJ aa 257   JJ bb {}   JJ bb {}   JJ bb {}   JJ bb {}}

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

do_execsql_test 2.0 {
  DROP TABLE IF EXISTS t1;
  CREATE TABLE t1(a INTEGER, b INTEGER);
  INSERT INTO t1 VALUES
      (5, 10), (10, 20), (13, 26), (13, 26), 
      (15, 30), (20, 40), (22,80), (30, 90);
} {}

do_execsql_test 2.1 {
  SELECT a, sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a RANGE BETWEEN 5 PRECEDING AND 5 FOLLOWING )
} {5 30   10 112   13 102   13 102   15 142   20 150   22 120   30 90}

do_execsql_test 2.2 {
  SELECT a, sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a RANGE BETWEEN 10 PRECEDING AND 5 PRECEDING )
} {5 {}   10 10   13 10   13 10   15 30   20 102   22 82   30 120}

do_execsql_test 2.3 {
  SELECT a, sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a RANGE BETWEEN 2 FOLLOWING AND 3 FOLLOWING )
} {5 {}   10 52   13 30   13 30   15 {}   20 80   22 {}   30 {}}

do_execsql_test 2.4 {
  SELECT a, sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a DESC RANGE BETWEEN 5 PRECEDING AND 5 FOLLOWING )
} {30 90   22 120   20 150   15 142   13 102   13 102   10 112   5 30}

do_execsql_test 2.5 {
  SELECT a, sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a DESC RANGE BETWEEN 10 PRECEDING AND 5 PRECEDING )
} {30 {}   22 90   20 90   15 120   13 120   13 120   10 70   5 102}

do_execsql_test 2.6 {
  SELECT a, sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a DESC RANGE BETWEEN 2 FOLLOWING AND 3 FOLLOWING )
} {30 {}   22 40   20 {}   15 52   13 20   13 20   10 {}   5 {}}

























finish_test

  SELECT a, b, min(c) OVER (ORDER BY a,b  GROUPS BETWEEN 1 FOLLOWING         AND UNBOUNDED FOLLOWING ) FROM t3 ORDER BY 1, 2, 3;
} {AA aa 102   AA aa 102   AA aa 102   AA aa 102   AA bb 102   AA bb 102   AA bb 102   AA bb 102   BB aa 102   BB aa 102   BB aa 102   BB aa 102   BB aa 102   BB aa 102   BB bb 102   BB bb 102   BB bb 102   BB bb 102   BB bb 102   BB bb 102   CC aa 102   CC aa 102   CC aa 102   CC aa 102   CC bb 102   CC bb 102   DD aa 102   DD aa 102   DD aa 102   DD bb 102   DD bb 102   DD bb 102   DD bb 102   EE aa 102   EE aa 102   EE bb 102   EE bb 102   EE bb 102   FF aa 102   FF aa 102   FF aa 102   FF aa 102   FF bb 113   FF bb 113   FF bb 113   FF bb 113   FF bb 113   FF bb 113   GG aa 113   GG aa 113   GG aa 113   GG aa 113   GG bb 113   GG bb 113   GG bb 113   GG bb 113   HH aa 113   HH aa 113   HH aa 113   HH bb 113   HH bb 113   HH bb 113   HH bb 113   HH bb 113   HH bb 113   II aa 113   II aa 113   II bb 113   II bb 113   II bb 113   II bb 113   II bb 113   JJ aa 257   JJ aa 257   JJ aa 257   JJ aa 257   JJ bb {}   JJ bb {}   JJ bb {}   JJ bb {}}

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

do_execsql_test 2.0 {
  DROP TABLE IF EXISTS t1;
  CREATE TABLE t1(a REAL, b INTEGER);
  INSERT INTO t1 VALUES
      (5, 10), (10, 20), (13, 26), (13, 26), 
      (15, 30), (20, 40), (22,80), (30, 90);
} {}

do_execsql_test 2.1 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a RANGE BETWEEN 5 PRECEDING AND 5 FOLLOWING )
} {5 30   10 112   13 102   13 102   15 142   20 150   22 120   30 90}

do_execsql_test 2.2 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a RANGE BETWEEN 10 PRECEDING AND 5 PRECEDING )
} {5 {}   10 10   13 10   13 10   15 30   20 102   22 82   30 120}

do_execsql_test 2.3 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a RANGE BETWEEN 2 FOLLOWING AND 3 FOLLOWING )
} {5 {}   10 52   13 30   13 30   15 {}   20 80   22 {}   30 {}}

do_execsql_test 2.4 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a DESC RANGE BETWEEN 5 PRECEDING AND 5 FOLLOWING )
} {30 90   22 120   20 150   15 142   13 102   13 102   10 112   5 30}

do_execsql_test 2.5 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a DESC RANGE BETWEEN 10 PRECEDING AND 5 PRECEDING )
} {30 {}   22 90   20 90   15 120   13 120   13 120   10 70   5 102}

do_execsql_test 2.6 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a DESC RANGE BETWEEN 2 FOLLOWING AND 3 FOLLOWING )
} {30 {}   22 40   20 {}   15 52   13 20   13 20   10 {}   5 {}}

do_execsql_test 2.7 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a RANGE BETWEEN 5.1 PRECEDING AND 5.3 FOLLOWING )
} {5 30   10 112   13 102   13 102   15 142   20 150   22 120   30 90}

do_execsql_test 2.8 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a RANGE BETWEEN 10.2 PRECEDING AND 5.4 PRECEDING )
} {5 {}   10 {}   13 10   13 10   15 10   20 72   22 82   30 120}

do_execsql_test 2.9 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a RANGE BETWEEN 2.6 FOLLOWING AND 3.5 FOLLOWING )
} {5 {}   10 52   13 {}   13 {}   15 {}   20 {}   22 {}   30 {}}

do_execsql_test 2.10 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a DESC RANGE BETWEEN 5.7 PRECEDING AND 5.8 FOLLOWING )
} {30 90   22 120   20 150   15 142   13 102   13 102   10 112   5 30}

do_execsql_test 2.11 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND 5.9 PRECEDING )
} {30 {}   22 90   20 90   15 170   13 210   13 210   10 210   5 292}

do_execsql_test 2.12 {
  SELECT CAST(a AS INTEGER), sum(b) OVER win FROM t1 WINDOW win AS ( ORDER BY a DESC RANGE BETWEEN 2.1 FOLLOWING AND UNBOUNDED FOLLOWING )
} {30 232   22 112   20 112   15 30   13 30   13 30   10 10   5 {}}

finish_test