postgresql/src/backend/utils/time/tqual.c

/*-------------------------------------------------------------------------
 *
 * tqual.c
 *	  POSTGRES "time qualification" code, ie, tuple visibility rules.
 *
 * NOTE: all the HeapTupleSatisfies routines will update the tuple's
 * "hint" status bits if we see that the inserting or deleting transaction
 * has now committed or aborted (and it is safe to set the hint bits).
 * If the hint bits are changed, SetBufferCommitInfoNeedsSave is called on
 * the passed-in buffer.  The caller must hold not only a pin, but at least
 * shared buffer content lock on the buffer containing the tuple.
 *
 * NOTE: must check TransactionIdIsInProgress (which looks in PGXACT array)
 * before TransactionIdDidCommit/TransactionIdDidAbort (which look in
 * pg_clog).  Otherwise we have a race condition: we might decide that a
 * just-committed transaction crashed, because none of the tests succeed.
 * xact.c is careful to record commit/abort in pg_clog before it unsets
 * MyPgXact->xid in PGXACT array.  That fixes that problem, but it also
 * means there is a window where TransactionIdIsInProgress and
 * TransactionIdDidCommit will both return true.  If we check only
 * TransactionIdDidCommit, we could consider a tuple committed when a
 * later GetSnapshotData call will still think the originating transaction
 * is in progress, which leads to application-level inconsistency.	The
 * upshot is that we gotta check TransactionIdIsInProgress first in all
 * code paths, except for a few cases where we are looking at
 * subtransactions of our own main transaction and so there can't be any
 * race condition.
 *
 * Summary of visibility functions:
 *
 *	 HeapTupleSatisfiesMVCC()
 *		  visible to supplied snapshot, excludes current command
 *	 HeapTupleSatisfiesNow()
 *		  visible to instant snapshot, excludes current command
 *	 HeapTupleSatisfiesUpdate()
 *		  like HeapTupleSatisfiesNow(), but with user-supplied command
 *		  counter and more complex result
 *	 HeapTupleSatisfiesSelf()
 *		  visible to instant snapshot and current command
 *	 HeapTupleSatisfiesDirty()
 *		  like HeapTupleSatisfiesSelf(), but includes open transactions
 *	 HeapTupleSatisfiesVacuum()
 *		  visible to any running transaction, used by VACUUM
 *	 HeapTupleSatisfiesToast()
 *		  visible unless part of interrupted vacuum, used for TOAST
 *	 HeapTupleSatisfiesAny()
 *		  all tuples are visible
 *
 * Portions Copyright (c) 1996-2012, PostgreSQL Global Development Group
 * Portions Copyright (c) 1994, Regents of the University of California
 *
 * IDENTIFICATION
 *	  src/backend/utils/time/tqual.c
 *
 *-------------------------------------------------------------------------
 */

#include "postgres.h"

#include "access/multixact.h"
#include "access/subtrans.h"
#include "access/transam.h"
#include "access/xact.h"
#include "storage/bufmgr.h"
#include "storage/procarray.h"
#include "utils/tqual.h"


/* Static variables representing various special snapshot semantics */
SnapshotData SnapshotNowData = {HeapTupleSatisfiesNow};
SnapshotData SnapshotSelfData = {HeapTupleSatisfiesSelf};
SnapshotData SnapshotAnyData = {HeapTupleSatisfiesAny};
SnapshotData SnapshotToastData = {HeapTupleSatisfiesToast};

/* local functions */
static bool XidInMVCCSnapshot(TransactionId xid, Snapshot snapshot);


/*
 * SetHintBits()
 *
 * Set commit/abort hint bits on a tuple, if appropriate at this time.
 *
 * It is only safe to set a transaction-committed hint bit if we know the
 * transaction's commit record has been flushed to disk, or if the table is
 * temporary or unlogged and will be obliterated by a crash anyway.  We
 * cannot change the LSN of the page here because we may hold only a share
 * lock on the buffer, so we can't use the LSN to interlock this; we have to
 * just refrain from setting the hint bit until some future re-examination
 * of the tuple.
 *
 * We can always set hint bits when marking a transaction aborted.	(Some
 * code in heapam.c relies on that!)
 *
 * Also, if we are cleaning up HEAP_MOVED_IN or HEAP_MOVED_OFF entries, then
 * we can always set the hint bits, since pre-9.0 VACUUM FULL always used
 * synchronous commits and didn't move tuples that weren't previously
 * hinted.	(This is not known by this subroutine, but is applied by its
 * callers.)  Note: old-style VACUUM FULL is gone, but we have to keep this
 * module's support for MOVED_OFF/MOVED_IN flag bits for as long as we
 * support in-place update from pre-9.0 databases.
 *
 * Normal commits may be asynchronous, so for those we need to get the LSN
 * of the transaction and then check whether this is flushed.
 *
 * The caller should pass xid as the XID of the transaction to check, or
 * InvalidTransactionId if no check is needed.
 */
static inline void
SetHintBits(HeapTupleHeader tuple, Buffer buffer,
			uint16 infomask, TransactionId xid)
{
	if (TransactionIdIsValid(xid))
	{
		/* NB: xid must be known committed here! */
		XLogRecPtr	commitLSN = TransactionIdGetCommitLSN(xid);

		if (XLogNeedsFlush(commitLSN) && BufferIsPermanent(buffer))
			return;				/* not flushed yet, so don't set hint */
	}

	tuple->t_infomask |= infomask;
	SetBufferCommitInfoNeedsSave(buffer);
}

/*
 * HeapTupleSetHintBits --- exported version of SetHintBits()
 *
 * This must be separate because of C99's brain-dead notions about how to
 * implement inline functions.
 */
void
HeapTupleSetHintBits(HeapTupleHeader tuple, Buffer buffer,
					 uint16 infomask, TransactionId xid)
{
	SetHintBits(tuple, buffer, infomask, xid);
}


/*
 * HeapTupleSatisfiesSelf
 *		True iff heap tuple is valid "for itself".
 *
 *	Here, we consider the effects of:
 *		all committed transactions (as of the current instant)
 *		previous commands of this transaction
 *		changes made by the current command
 *
 * Note:
 *		Assumes heap tuple is valid.
 *
 * The satisfaction of "itself" requires the following:
 *
 * ((Xmin == my-transaction &&				the row was updated by the current transaction, and
 *		(Xmax is null						it was not deleted
 *		 [|| Xmax != my-transaction)])			[or it was deleted by another transaction]
 * ||
 *
 * (Xmin is committed &&					the row was modified by a committed transaction, and
 *		(Xmax is null ||					the row has not been deleted, or
 *			(Xmax != my-transaction &&			the row was deleted by another transaction
 *			 Xmax is not committed)))			that has not been committed
 */
bool
HeapTupleSatisfiesSelf(HeapTupleHeader tuple, Snapshot snapshot, Buffer buffer)
{
	if (!(tuple->t_infomask & HEAP_XMIN_COMMITTED))
	{
		if (tuple->t_infomask & HEAP_XMIN_INVALID)
			return false;

		/* Used by pre-9.0 binary upgrades */
		if (tuple->t_infomask & HEAP_MOVED_OFF)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (TransactionIdIsCurrentTransactionId(xvac))
				return false;
			if (!TransactionIdIsInProgress(xvac))
			{
				if (TransactionIdDidCommit(xvac))
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
				SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
							InvalidTransactionId);
			}
		}
		/* Used by pre-9.0 binary upgrades */
		else if (tuple->t_infomask & HEAP_MOVED_IN)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (!TransactionIdIsCurrentTransactionId(xvac))
			{
				if (TransactionIdIsInProgress(xvac))
					return false;
				if (TransactionIdDidCommit(xvac))
					SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
								InvalidTransactionId);
				else
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
			}
		}
		else if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmin(tuple)))
		{
			if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid */
				return true;

			if (tuple->t_infomask & HEAP_IS_LOCKED)		/* not deleter */
				return true;

			Assert(!(tuple->t_infomask & HEAP_XMAX_IS_MULTI));

			if (!TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
			{
				/* deleting subtransaction must have aborted */
				SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
							InvalidTransactionId);
				return true;
			}

			return false;
		}
		else if (TransactionIdIsInProgress(HeapTupleHeaderGetXmin(tuple)))
			return false;
		else if (TransactionIdDidCommit(HeapTupleHeaderGetXmin(tuple)))
			SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
						HeapTupleHeaderGetXmin(tuple));
		else
		{
			/* it must have aborted or crashed */
			SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
						InvalidTransactionId);
			return false;
		}
	}

	/* by here, the inserting transaction has committed */

	if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid or aborted */
		return true;

	if (tuple->t_infomask & HEAP_XMAX_COMMITTED)
	{
		if (tuple->t_infomask & HEAP_IS_LOCKED)
			return true;
		return false;			/* updated by other */
	}

	if (tuple->t_infomask & HEAP_XMAX_IS_MULTI)
	{
		/* MultiXacts are currently only allowed to lock tuples */
		Assert(tuple->t_infomask & HEAP_IS_LOCKED);
		return true;
	}

	if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
	{
		if (tuple->t_infomask & HEAP_IS_LOCKED)
			return true;
		return false;
	}

	if (TransactionIdIsInProgress(HeapTupleHeaderGetXmax(tuple)))
		return true;

	if (!TransactionIdDidCommit(HeapTupleHeaderGetXmax(tuple)))
	{
		/* it must have aborted or crashed */
		SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
					InvalidTransactionId);
		return true;
	}

	/* xmax transaction committed */

	if (tuple->t_infomask & HEAP_IS_LOCKED)
	{
		SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
					InvalidTransactionId);
		return true;
	}

	SetHintBits(tuple, buffer, HEAP_XMAX_COMMITTED,
				HeapTupleHeaderGetXmax(tuple));
	return false;
}

/*
 * HeapTupleSatisfiesNow
 *		True iff heap tuple is valid "now".
 *
 *	Here, we consider the effects of:
 *		all committed transactions (as of the current instant)
 *		previous commands of this transaction
 *
 * Note we do _not_ include changes made by the current command.  This
 * solves the "Halloween problem" wherein an UPDATE might try to re-update
 * its own output tuples, http://en.wikipedia.org/wiki/Halloween_Problem.
 *
 * Note:
 *		Assumes heap tuple is valid.
 *
 * The satisfaction of "now" requires the following:
 *
 * ((Xmin == my-transaction &&				inserted by the current transaction
 *	 Cmin < my-command &&					before this command, and
 *	 (Xmax is null ||						the row has not been deleted, or
 *	  (Xmax == my-transaction &&			it was deleted by the current transaction
 *	   Cmax >= my-command)))				but not before this command,
 * ||										or
 *	(Xmin is committed &&					the row was inserted by a committed transaction, and
 *		(Xmax is null ||					the row has not been deleted, or
 *		 (Xmax == my-transaction &&			the row is being deleted by this transaction
 *		  Cmax >= my-command) ||			but it's not deleted "yet", or
 *		 (Xmax != my-transaction &&			the row was deleted by another transaction
 *		  Xmax is not committed))))			that has not been committed
 *
 */
bool
HeapTupleSatisfiesNow(HeapTupleHeader tuple, Snapshot snapshot, Buffer buffer)
{
	if (!(tuple->t_infomask & HEAP_XMIN_COMMITTED))
	{
		if (tuple->t_infomask & HEAP_XMIN_INVALID)
			return false;

		/* Used by pre-9.0 binary upgrades */
		if (tuple->t_infomask & HEAP_MOVED_OFF)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (TransactionIdIsCurrentTransactionId(xvac))
				return false;
			if (!TransactionIdIsInProgress(xvac))
			{
				if (TransactionIdDidCommit(xvac))
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
				SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
							InvalidTransactionId);
			}
		}
		/* Used by pre-9.0 binary upgrades */
		else if (tuple->t_infomask & HEAP_MOVED_IN)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (!TransactionIdIsCurrentTransactionId(xvac))
			{
				if (TransactionIdIsInProgress(xvac))
					return false;
				if (TransactionIdDidCommit(xvac))
					SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
								InvalidTransactionId);
				else
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
			}
		}
		else if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmin(tuple)))
		{
			if (HeapTupleHeaderGetCmin(tuple) >= GetCurrentCommandId(false))
				return false;	/* inserted after scan started */

			if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid */
				return true;

			if (tuple->t_infomask & HEAP_IS_LOCKED)		/* not deleter */
				return true;

			Assert(!(tuple->t_infomask & HEAP_XMAX_IS_MULTI));

			if (!TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
			{
				/* deleting subtransaction must have aborted */
				SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
							InvalidTransactionId);
				return true;
			}

			if (HeapTupleHeaderGetCmax(tuple) >= GetCurrentCommandId(false))
				return true;	/* deleted after scan started */
			else
				return false;	/* deleted before scan started */
		}
		else if (TransactionIdIsInProgress(HeapTupleHeaderGetXmin(tuple)))
			return false;
		else if (TransactionIdDidCommit(HeapTupleHeaderGetXmin(tuple)))
			SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
						HeapTupleHeaderGetXmin(tuple));
		else
		{
			/* it must have aborted or crashed */
			SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
						InvalidTransactionId);
			return false;
		}
	}

	/* by here, the inserting transaction has committed */

	if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid or aborted */
		return true;

	if (tuple->t_infomask & HEAP_XMAX_COMMITTED)
	{
		if (tuple->t_infomask & HEAP_IS_LOCKED)
			return true;
		return false;
	}

	if (tuple->t_infomask & HEAP_XMAX_IS_MULTI)
	{
		/* MultiXacts are currently only allowed to lock tuples */
		Assert(tuple->t_infomask & HEAP_IS_LOCKED);
		return true;
	}

	if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
	{
		if (tuple->t_infomask & HEAP_IS_LOCKED)
			return true;
		if (HeapTupleHeaderGetCmax(tuple) >= GetCurrentCommandId(false))
			return true;		/* deleted after scan started */
		else
			return false;		/* deleted before scan started */
	}

	if (TransactionIdIsInProgress(HeapTupleHeaderGetXmax(tuple)))
		return true;

	if (!TransactionIdDidCommit(HeapTupleHeaderGetXmax(tuple)))
	{
		/* it must have aborted or crashed */
		SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
					InvalidTransactionId);
		return true;
	}

	/* xmax transaction committed */

	if (tuple->t_infomask & HEAP_IS_LOCKED)
	{
		SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
					InvalidTransactionId);
		return true;
	}

	SetHintBits(tuple, buffer, HEAP_XMAX_COMMITTED,
				HeapTupleHeaderGetXmax(tuple));
	return false;
}

/*
 * HeapTupleSatisfiesAny
 *		Dummy "satisfies" routine: any tuple satisfies SnapshotAny.
 */
bool
HeapTupleSatisfiesAny(HeapTupleHeader tuple, Snapshot snapshot, Buffer buffer)
{
	return true;
}

/*
 * HeapTupleSatisfiesToast
 *		True iff heap tuple is valid as a TOAST row.
 *
 * This is a simplified version that only checks for VACUUM moving conditions.
 * It's appropriate for TOAST usage because TOAST really doesn't want to do
 * its own time qual checks; if you can see the main table row that contains
 * a TOAST reference, you should be able to see the TOASTed value.	However,
 * vacuuming a TOAST table is independent of the main table, and in case such
 * a vacuum fails partway through, we'd better do this much checking.
 *
 * Among other things, this means you can't do UPDATEs of rows in a TOAST
 * table.
 */
bool
HeapTupleSatisfiesToast(HeapTupleHeader tuple, Snapshot snapshot,
						Buffer buffer)
{
	if (!(tuple->t_infomask & HEAP_XMIN_COMMITTED))
	{
		if (tuple->t_infomask & HEAP_XMIN_INVALID)
			return false;

		/* Used by pre-9.0 binary upgrades */
		if (tuple->t_infomask & HEAP_MOVED_OFF)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (TransactionIdIsCurrentTransactionId(xvac))
				return false;
			if (!TransactionIdIsInProgress(xvac))
			{
				if (TransactionIdDidCommit(xvac))
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
				SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
							InvalidTransactionId);
			}
		}
		/* Used by pre-9.0 binary upgrades */
		else if (tuple->t_infomask & HEAP_MOVED_IN)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (!TransactionIdIsCurrentTransactionId(xvac))
			{
				if (TransactionIdIsInProgress(xvac))
					return false;
				if (TransactionIdDidCommit(xvac))
					SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
								InvalidTransactionId);
				else
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
			}
		}
	}

	/* otherwise assume the tuple is valid for TOAST. */
	return true;
}

/*
 * HeapTupleSatisfiesUpdate
 *
 *	Same logic as HeapTupleSatisfiesNow, but returns a more detailed result
 *	code, since UPDATE needs to know more than "is it visible?".  Also,
 *	tuples of my own xact are tested against the passed CommandId not
 *	CurrentCommandId.
 *
 *	The possible return codes are:
 *
 *	HeapTupleInvisible: the tuple didn't exist at all when the scan started,
 *	e.g. it was created by a later CommandId.
 *
 *	HeapTupleMayBeUpdated: The tuple is valid and visible, so it may be
 *	updated.
 *
 *	HeapTupleSelfUpdated: The tuple was updated by the current transaction,
 *	after the current scan started.
 *
 *	HeapTupleUpdated: The tuple was updated by a committed transaction.
 *
 *	HeapTupleBeingUpdated: The tuple is being updated by an in-progress
 *	transaction other than the current transaction.  (Note: this includes
 *	the case where the tuple is share-locked by a MultiXact, even if the
 *	MultiXact includes the current transaction.  Callers that want to
 *	distinguish that case must test for it themselves.)
 */
HTSU_Result
HeapTupleSatisfiesUpdate(HeapTupleHeader tuple, CommandId curcid,
						 Buffer buffer)
{
	if (!(tuple->t_infomask & HEAP_XMIN_COMMITTED))
	{
		if (tuple->t_infomask & HEAP_XMIN_INVALID)
			return HeapTupleInvisible;

		/* Used by pre-9.0 binary upgrades */
		if (tuple->t_infomask & HEAP_MOVED_OFF)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (TransactionIdIsCurrentTransactionId(xvac))
				return HeapTupleInvisible;
			if (!TransactionIdIsInProgress(xvac))
			{
				if (TransactionIdDidCommit(xvac))
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return HeapTupleInvisible;
				}
				SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
							InvalidTransactionId);
			}
		}
		/* Used by pre-9.0 binary upgrades */
		else if (tuple->t_infomask & HEAP_MOVED_IN)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (!TransactionIdIsCurrentTransactionId(xvac))
			{
				if (TransactionIdIsInProgress(xvac))
					return HeapTupleInvisible;
				if (TransactionIdDidCommit(xvac))
					SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
								InvalidTransactionId);
				else
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return HeapTupleInvisible;
				}
			}
		}
		else if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmin(tuple)))
		{
			if (HeapTupleHeaderGetCmin(tuple) >= curcid)
				return HeapTupleInvisible;		/* inserted after scan started */

			if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid */
				return HeapTupleMayBeUpdated;

			if (tuple->t_infomask & HEAP_IS_LOCKED)		/* not deleter */
				return HeapTupleMayBeUpdated;

			Assert(!(tuple->t_infomask & HEAP_XMAX_IS_MULTI));

			if (!TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
			{
				/* deleting subtransaction must have aborted */
				SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
							InvalidTransactionId);
				return HeapTupleMayBeUpdated;
			}

			if (HeapTupleHeaderGetCmax(tuple) >= curcid)
				return HeapTupleSelfUpdated;	/* updated after scan started */
			else
				return HeapTupleInvisible;		/* updated before scan started */
		}
		else if (TransactionIdIsInProgress(HeapTupleHeaderGetXmin(tuple)))
			return HeapTupleInvisible;
		else if (TransactionIdDidCommit(HeapTupleHeaderGetXmin(tuple)))
			SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
						HeapTupleHeaderGetXmin(tuple));
		else
		{
			/* it must have aborted or crashed */
			SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
						InvalidTransactionId);
			return HeapTupleInvisible;
		}
	}

	/* by here, the inserting transaction has committed */

	if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid or aborted */
		return HeapTupleMayBeUpdated;

	if (tuple->t_infomask & HEAP_XMAX_COMMITTED)
	{
		if (tuple->t_infomask & HEAP_IS_LOCKED)
			return HeapTupleMayBeUpdated;
		return HeapTupleUpdated;	/* updated by other */
	}

	if (tuple->t_infomask & HEAP_XMAX_IS_MULTI)
	{
		/* MultiXacts are currently only allowed to lock tuples */
		Assert(tuple->t_infomask & HEAP_IS_LOCKED);

		if (MultiXactIdIsRunning(HeapTupleHeaderGetXmax(tuple)))
			return HeapTupleBeingUpdated;
		SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
					InvalidTransactionId);
		return HeapTupleMayBeUpdated;
	}

	if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
	{
		if (tuple->t_infomask & HEAP_IS_LOCKED)
			return HeapTupleMayBeUpdated;
		if (HeapTupleHeaderGetCmax(tuple) >= curcid)
			return HeapTupleSelfUpdated;		/* updated after scan started */
		else
			return HeapTupleInvisible;	/* updated before scan started */
	}

	if (TransactionIdIsInProgress(HeapTupleHeaderGetXmax(tuple)))
		return HeapTupleBeingUpdated;

	if (!TransactionIdDidCommit(HeapTupleHeaderGetXmax(tuple)))
	{
		/* it must have aborted or crashed */
		SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
					InvalidTransactionId);
		return HeapTupleMayBeUpdated;
	}

	/* xmax transaction committed */

	if (tuple->t_infomask & HEAP_IS_LOCKED)
	{
		SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
					InvalidTransactionId);
		return HeapTupleMayBeUpdated;
	}

	SetHintBits(tuple, buffer, HEAP_XMAX_COMMITTED,
				HeapTupleHeaderGetXmax(tuple));
	return HeapTupleUpdated;	/* updated by other */
}

/*
 * HeapTupleSatisfiesDirty
 *		True iff heap tuple is valid including effects of open transactions.
 *
 *	Here, we consider the effects of:
 *		all committed and in-progress transactions (as of the current instant)
 *		previous commands of this transaction
 *		changes made by the current command
 *
 * This is essentially like HeapTupleSatisfiesSelf as far as effects of
 * the current transaction and committed/aborted xacts are concerned.
 * However, we also include the effects of other xacts still in progress.
 *
 * A special hack is that the passed-in snapshot struct is used as an
 * output argument to return the xids of concurrent xacts that affected the
 * tuple.  snapshot->xmin is set to the tuple's xmin if that is another
 * transaction that's still in progress; or to InvalidTransactionId if the
 * tuple's xmin is committed good, committed dead, or my own xact.  Similarly
 * for snapshot->xmax and the tuple's xmax.
 */
bool
HeapTupleSatisfiesDirty(HeapTupleHeader tuple, Snapshot snapshot,
						Buffer buffer)
{
	snapshot->xmin = snapshot->xmax = InvalidTransactionId;

	if (!(tuple->t_infomask & HEAP_XMIN_COMMITTED))
	{
		if (tuple->t_infomask & HEAP_XMIN_INVALID)
			return false;

		/* Used by pre-9.0 binary upgrades */
		if (tuple->t_infomask & HEAP_MOVED_OFF)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (TransactionIdIsCurrentTransactionId(xvac))
				return false;
			if (!TransactionIdIsInProgress(xvac))
			{
				if (TransactionIdDidCommit(xvac))
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
				SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
							InvalidTransactionId);
			}
		}
		/* Used by pre-9.0 binary upgrades */
		else if (tuple->t_infomask & HEAP_MOVED_IN)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (!TransactionIdIsCurrentTransactionId(xvac))
			{
				if (TransactionIdIsInProgress(xvac))
					return false;
				if (TransactionIdDidCommit(xvac))
					SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
								InvalidTransactionId);
				else
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
			}
		}
		else if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmin(tuple)))
		{
			if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid */
				return true;

			if (tuple->t_infomask & HEAP_IS_LOCKED)		/* not deleter */
				return true;

			Assert(!(tuple->t_infomask & HEAP_XMAX_IS_MULTI));

			if (!TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
			{
				/* deleting subtransaction must have aborted */
				SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
							InvalidTransactionId);
				return true;
			}

			return false;
		}
		else if (TransactionIdIsInProgress(HeapTupleHeaderGetXmin(tuple)))
		{
			snapshot->xmin = HeapTupleHeaderGetXmin(tuple);
			/* XXX shouldn't we fall through to look at xmax? */
			return true;		/* in insertion by other */
		}
		else if (TransactionIdDidCommit(HeapTupleHeaderGetXmin(tuple)))
			SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
						HeapTupleHeaderGetXmin(tuple));
		else
		{
			/* it must have aborted or crashed */
			SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
						InvalidTransactionId);
			return false;
		}
	}

	/* by here, the inserting transaction has committed */

	if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid or aborted */
		return true;

	if (tuple->t_infomask & HEAP_XMAX_COMMITTED)
	{
		if (tuple->t_infomask & HEAP_IS_LOCKED)
			return true;
		return false;			/* updated by other */
	}

	if (tuple->t_infomask & HEAP_XMAX_IS_MULTI)
	{
		/* MultiXacts are currently only allowed to lock tuples */
		Assert(tuple->t_infomask & HEAP_IS_LOCKED);
		return true;
	}

	if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
	{
		if (tuple->t_infomask & HEAP_IS_LOCKED)
			return true;
		return false;
	}

	if (TransactionIdIsInProgress(HeapTupleHeaderGetXmax(tuple)))
	{
		snapshot->xmax = HeapTupleHeaderGetXmax(tuple);
		return true;
	}

	if (!TransactionIdDidCommit(HeapTupleHeaderGetXmax(tuple)))
	{
		/* it must have aborted or crashed */
		SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
					InvalidTransactionId);
		return true;
	}

	/* xmax transaction committed */

	if (tuple->t_infomask & HEAP_IS_LOCKED)
	{
		SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
					InvalidTransactionId);
		return true;
	}

	SetHintBits(tuple, buffer, HEAP_XMAX_COMMITTED,
				HeapTupleHeaderGetXmax(tuple));
	return false;				/* updated by other */
}

/*
 * HeapTupleSatisfiesMVCC
 *		True iff heap tuple is valid for the given MVCC snapshot.
 *
 *	Here, we consider the effects of:
 *		all transactions committed as of the time of the given snapshot
 *		previous commands of this transaction
 *
 *	Does _not_ include:
 *		transactions shown as in-progress by the snapshot
 *		transactions started after the snapshot was taken
 *		changes made by the current command
 *
 * This is the same as HeapTupleSatisfiesNow, except that transactions that
 * were in progress or as yet unstarted when the snapshot was taken will
 * be treated as uncommitted, even if they have committed by now.
 *
 * (Notice, however, that the tuple status hint bits will be updated on the
 * basis of the true state of the transaction, even if we then pretend we
 * can't see it.)
 */
bool
HeapTupleSatisfiesMVCC(HeapTupleHeader tuple, Snapshot snapshot,
					   Buffer buffer)
{
	if (!(tuple->t_infomask & HEAP_XMIN_COMMITTED))
	{
		if (tuple->t_infomask & HEAP_XMIN_INVALID)
			return false;

		/* Used by pre-9.0 binary upgrades */
		if (tuple->t_infomask & HEAP_MOVED_OFF)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (TransactionIdIsCurrentTransactionId(xvac))
				return false;
			if (!TransactionIdIsInProgress(xvac))
			{
				if (TransactionIdDidCommit(xvac))
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
				SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
							InvalidTransactionId);
			}
		}
		/* Used by pre-9.0 binary upgrades */
		else if (tuple->t_infomask & HEAP_MOVED_IN)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (!TransactionIdIsCurrentTransactionId(xvac))
			{
				if (TransactionIdIsInProgress(xvac))
					return false;
				if (TransactionIdDidCommit(xvac))
					SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
								InvalidTransactionId);
				else
				{
					SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
								InvalidTransactionId);
					return false;
				}
			}
		}
		else if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmin(tuple)))
		{
			if (HeapTupleHeaderGetCmin(tuple) >= snapshot->curcid)
				return false;	/* inserted after scan started */

			if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid */
				return true;

			if (tuple->t_infomask & HEAP_IS_LOCKED)		/* not deleter */
				return true;

			Assert(!(tuple->t_infomask & HEAP_XMAX_IS_MULTI));

			if (!TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
			{
				/* deleting subtransaction must have aborted */
				SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
							InvalidTransactionId);
				return true;
			}

			if (HeapTupleHeaderGetCmax(tuple) >= snapshot->curcid)
				return true;	/* deleted after scan started */
			else
				return false;	/* deleted before scan started */
		}
		else if (TransactionIdIsInProgress(HeapTupleHeaderGetXmin(tuple)))
			return false;
		else if (TransactionIdDidCommit(HeapTupleHeaderGetXmin(tuple)))
			SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
						HeapTupleHeaderGetXmin(tuple));
		else
		{
			/* it must have aborted or crashed */
			SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
						InvalidTransactionId);
			return false;
		}
	}

	/*
	 * By here, the inserting transaction has committed - have to check
	 * when...
	 */
	if (XidInMVCCSnapshot(HeapTupleHeaderGetXmin(tuple), snapshot))
		return false;			/* treat as still in progress */

	if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid or aborted */
		return true;

	if (tuple->t_infomask & HEAP_IS_LOCKED)
		return true;

	if (tuple->t_infomask & HEAP_XMAX_IS_MULTI)
	{
		/* MultiXacts are currently only allowed to lock tuples */
		Assert(tuple->t_infomask & HEAP_IS_LOCKED);
		return true;
	}

	if (!(tuple->t_infomask & HEAP_XMAX_COMMITTED))
	{
		if (TransactionIdIsCurrentTransactionId(HeapTupleHeaderGetXmax(tuple)))
		{
			if (HeapTupleHeaderGetCmax(tuple) >= snapshot->curcid)
				return true;	/* deleted after scan started */
			else
				return false;	/* deleted before scan started */
		}

		if (TransactionIdIsInProgress(HeapTupleHeaderGetXmax(tuple)))
			return true;

		if (!TransactionIdDidCommit(HeapTupleHeaderGetXmax(tuple)))
		{
			/* it must have aborted or crashed */
			SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
						InvalidTransactionId);
			return true;
		}

		/* xmax transaction committed */
		SetHintBits(tuple, buffer, HEAP_XMAX_COMMITTED,
					HeapTupleHeaderGetXmax(tuple));
	}

	/*
	 * OK, the deleting transaction committed too ... but when?
	 */
	if (XidInMVCCSnapshot(HeapTupleHeaderGetXmax(tuple), snapshot))
		return true;			/* treat as still in progress */

	return false;
}


/*
 * HeapTupleSatisfiesVacuum
 *
 *	Determine the status of tuples for VACUUM purposes.  Here, what
 *	we mainly want to know is if a tuple is potentially visible to *any*
 *	running transaction.  If so, it can't be removed yet by VACUUM.
 *
 * OldestXmin is a cutoff XID (obtained from GetOldestXmin()).	Tuples
 * deleted by XIDs >= OldestXmin are deemed "recently dead"; they might
 * still be visible to some open transaction, so we can't remove them,
 * even if we see that the deleting transaction has committed.
 */
HTSV_Result
HeapTupleSatisfiesVacuum(HeapTupleHeader tuple, TransactionId OldestXmin,
						 Buffer buffer)
{
	/*
	 * Has inserting transaction committed?
	 *
	 * If the inserting transaction aborted, then the tuple was never visible
	 * to any other transaction, so we can delete it immediately.
	 */
	if (!(tuple->t_infomask & HEAP_XMIN_COMMITTED))
	{
		if (tuple->t_infomask & HEAP_XMIN_INVALID)
			return HEAPTUPLE_DEAD;
		/* Used by pre-9.0 binary upgrades */
		else if (tuple->t_infomask & HEAP_MOVED_OFF)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (TransactionIdIsCurrentTransactionId(xvac))
				return HEAPTUPLE_DELETE_IN_PROGRESS;
			if (TransactionIdIsInProgress(xvac))
				return HEAPTUPLE_DELETE_IN_PROGRESS;
			if (TransactionIdDidCommit(xvac))
			{
				SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
							InvalidTransactionId);
				return HEAPTUPLE_DEAD;
			}
			SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
						InvalidTransactionId);
		}
		/* Used by pre-9.0 binary upgrades */
		else if (tuple->t_infomask & HEAP_MOVED_IN)
		{
			TransactionId xvac = HeapTupleHeaderGetXvac(tuple);

			if (TransactionIdIsCurrentTransactionId(xvac))
				return HEAPTUPLE_INSERT_IN_PROGRESS;
			if (TransactionIdIsInProgress(xvac))
				return HEAPTUPLE_INSERT_IN_PROGRESS;
			if (TransactionIdDidCommit(xvac))
				SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
							InvalidTransactionId);
			else
			{
				SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
							InvalidTransactionId);
				return HEAPTUPLE_DEAD;
			}
		}
		else if (TransactionIdIsInProgress(HeapTupleHeaderGetXmin(tuple)))
		{
			if (tuple->t_infomask & HEAP_XMAX_INVALID)	/* xid invalid */
				return HEAPTUPLE_INSERT_IN_PROGRESS;
			if (tuple->t_infomask & HEAP_IS_LOCKED)
				return HEAPTUPLE_INSERT_IN_PROGRESS;
			/* inserted and then deleted by same xact */
			return HEAPTUPLE_DELETE_IN_PROGRESS;
		}
		else if (TransactionIdDidCommit(HeapTupleHeaderGetXmin(tuple)))
			SetHintBits(tuple, buffer, HEAP_XMIN_COMMITTED,
						HeapTupleHeaderGetXmin(tuple));
		else
		{
			/*
			 * Not in Progress, Not Committed, so either Aborted or crashed
			 */
			SetHintBits(tuple, buffer, HEAP_XMIN_INVALID,
						InvalidTransactionId);
			return HEAPTUPLE_DEAD;
		}

		/*
		 * At this point the xmin is known committed, but we might not have
		 * been able to set the hint bit yet; so we can no longer Assert that
		 * it's set.
		 */
	}

	/*
	 * Okay, the inserter committed, so it was good at some point.	Now what
	 * about the deleting transaction?
	 */
	if (tuple->t_infomask & HEAP_XMAX_INVALID)
		return HEAPTUPLE_LIVE;

	if (tuple->t_infomask & HEAP_IS_LOCKED)
	{
		/*
		 * "Deleting" xact really only locked it, so the tuple is live in any
		 * case.  However, we should make sure that either XMAX_COMMITTED or
		 * XMAX_INVALID gets set once the xact is gone, to reduce the costs of
		 * examining the tuple for future xacts.  Also, marking dead
		 * MultiXacts as invalid here provides defense against MultiXactId
		 * wraparound (see also comments in heap_freeze_tuple()).
		 */
		if (!(tuple->t_infomask & HEAP_XMAX_COMMITTED))
		{
			if (tuple->t_infomask & HEAP_XMAX_IS_MULTI)
			{
				if (MultiXactIdIsRunning(HeapTupleHeaderGetXmax(tuple)))
					return HEAPTUPLE_LIVE;
			}
			else
			{
				if (TransactionIdIsInProgress(HeapTupleHeaderGetXmax(tuple)))
					return HEAPTUPLE_LIVE;
			}

			/*
			 * We don't really care whether xmax did commit, abort or crash.
			 * We know that xmax did lock the tuple, but it did not and will
			 * never actually update it.
			 */
			SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
						InvalidTransactionId);
		}
		return HEAPTUPLE_LIVE;
	}

	if (tuple->t_infomask & HEAP_XMAX_IS_MULTI)
	{
		/* MultiXacts are currently only allowed to lock tuples */
		Assert(tuple->t_infomask & HEAP_IS_LOCKED);
		return HEAPTUPLE_LIVE;
	}

	if (!(tuple->t_infomask & HEAP_XMAX_COMMITTED))
	{
		if (TransactionIdIsInProgress(HeapTupleHeaderGetXmax(tuple)))
			return HEAPTUPLE_DELETE_IN_PROGRESS;
		else if (TransactionIdDidCommit(HeapTupleHeaderGetXmax(tuple)))
			SetHintBits(tuple, buffer, HEAP_XMAX_COMMITTED,
						HeapTupleHeaderGetXmax(tuple));
		else
		{
			/*
			 * Not in Progress, Not Committed, so either Aborted or crashed
			 */
			SetHintBits(tuple, buffer, HEAP_XMAX_INVALID,
						InvalidTransactionId);
			return HEAPTUPLE_LIVE;
		}

		/*
		 * At this point the xmax is known committed, but we might not have
		 * been able to set the hint bit yet; so we can no longer Assert that
		 * it's set.
		 */
	}

	/*
	 * Deleter committed, but perhaps it was recent enough that some open
	 * transactions could still see the tuple.
	 */
	if (!TransactionIdPrecedes(HeapTupleHeaderGetXmax(tuple), OldestXmin))
		return HEAPTUPLE_RECENTLY_DEAD;

	/* Otherwise, it's dead and removable */
	return HEAPTUPLE_DEAD;
}

/*
 * HeapTupleIsSurelyDead
 *
 *	Determine whether a tuple is surely dead.  We sometimes use this
 *	in lieu of HeapTupleSatisifesVacuum when the tuple has just been
 *	tested by HeapTupleSatisfiesMVCC and, therefore, any hint bits that
 *	can be set should already be set.  We assume that if no hint bits
 *	either for xmin or xmax, the transaction is still running.	This is
 *	therefore faster than HeapTupleSatisfiesVacuum, because we don't
 *	consult CLOG (and also because we don't need to give an exact answer,
 *	just whether or not the tuple is surely dead).
 */
bool
HeapTupleIsSurelyDead(HeapTupleHeader tuple, TransactionId OldestXmin)
{
	/*
	 * If the inserting transaction is marked invalid, then it aborted, and
	 * the tuple is definitely dead.  If it's marked neither committed nor
	 * invalid, then we assume it's still alive (since the presumption is that
	 * all relevant hint bits were just set moments ago).
	 */
	if (!(tuple->t_infomask & HEAP_XMIN_COMMITTED))
		return (tuple->t_infomask & HEAP_XMIN_INVALID) != 0 ? true : false;

	/*
	 * If the inserting transaction committed, but any deleting transaction
	 * aborted, the tuple is still alive.  Likewise, if XMAX is a lock rather
	 * than a delete, the tuple is still alive.
	 */
	if (tuple->t_infomask &
		(HEAP_XMAX_INVALID | HEAP_IS_LOCKED | HEAP_XMAX_IS_MULTI))
		return false;

	/* If deleter isn't known to have committed, assume it's still running. */
	if (!(tuple->t_infomask & HEAP_XMAX_COMMITTED))
		return false;

	/* Deleter committed, so tuple is dead if the XID is old enough. */
	return TransactionIdPrecedes(HeapTupleHeaderGetXmax(tuple), OldestXmin);
}

/*
 * XidInMVCCSnapshot
 *		Is the given XID still-in-progress according to the snapshot?
 *
 * Note: GetSnapshotData never stores either top xid or subxids of our own
 * backend into a snapshot, so these xids will not be reported as "running"
 * by this function.  This is OK for current uses, because we actually only
 * apply this for known-committed XIDs.
 */
static bool
XidInMVCCSnapshot(TransactionId xid, Snapshot snapshot)
{
	uint32		i;

	/*
	 * Make a quick range check to eliminate most XIDs without looking at the
	 * xip arrays.	Note that this is OK even if we convert a subxact XID to
	 * its parent below, because a subxact with XID < xmin has surely also got
	 * a parent with XID < xmin, while one with XID >= xmax must belong to a
	 * parent that was not yet committed at the time of this snapshot.
	 */

	/* Any xid < xmin is not in-progress */
	if (TransactionIdPrecedes(xid, snapshot->xmin))
		return false;
	/* Any xid >= xmax is in-progress */
	if (TransactionIdFollowsOrEquals(xid, snapshot->xmax))
		return true;

	/*
	 * Snapshot information is stored slightly differently in snapshots taken
	 * during recovery.
	 */
	if (!snapshot->takenDuringRecovery)
	{
		/*
		 * If the snapshot contains full subxact data, the fastest way to
		 * check things is just to compare the given XID against both subxact
		 * XIDs and top-level XIDs.  If the snapshot overflowed, we have to
		 * use pg_subtrans to convert a subxact XID to its parent XID, but
		 * then we need only look at top-level XIDs not subxacts.
		 */
		if (!snapshot->suboverflowed)
		{
			/* full data, so search subxip */
			int32		j;

			for (j = 0; j < snapshot->subxcnt; j++)
			{
				if (TransactionIdEquals(xid, snapshot->subxip[j]))
					return true;
			}

			/* not there, fall through to search xip[] */
		}
		else
		{
			/* overflowed, so convert xid to top-level */
			xid = SubTransGetTopmostTransaction(xid);

			/*
			 * If xid was indeed a subxact, we might now have an xid < xmin,
			 * so recheck to avoid an array scan.  No point in rechecking
			 * xmax.
			 */
			if (TransactionIdPrecedes(xid, snapshot->xmin))
				return false;
		}

		for (i = 0; i < snapshot->xcnt; i++)
		{
			if (TransactionIdEquals(xid, snapshot->xip[i]))
				return true;
		}
	}
	else
	{
		int32		j;

		/*
		 * In recovery we store all xids in the subxact array because it is by
		 * far the bigger array, and we mostly don't know which xids are
		 * top-level and which are subxacts. The xip array is empty.
		 *
		 * We start by searching subtrans, if we overflowed.
		 */
		if (snapshot->suboverflowed)
		{
			/* overflowed, so convert xid to top-level */
			xid = SubTransGetTopmostTransaction(xid);

			/*
			 * If xid was indeed a subxact, we might now have an xid < xmin,
			 * so recheck to avoid an array scan.  No point in rechecking
			 * xmax.
			 */
			if (TransactionIdPrecedes(xid, snapshot->xmin))
				return false;
		}

		/*
		 * We now have either a top-level xid higher than xmin or an
		 * indeterminate xid. We don't know whether it's top level or subxact
		 * but it doesn't matter. If it's present, the xid is visible.
		 */
		for (j = 0; j < snapshot->subxcnt; j++)
		{
			if (TransactionIdEquals(xid, snapshot->subxip[j]))
				return true;
		}
	}

	return false;
}