dendrite/roomserver/state/state.go

// Copyright 2017 Vector Creations Ltd
// Copyright 2018 New Vector Ltd
// Copyright 2019-2020 The Matrix.org Foundation C.I.C.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//     http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

package state

import (
	"context"
	"fmt"
	"sort"
	"sync"
	"time"

	"github.com/matrix-org/gomatrixserverlib"
	"github.com/matrix-org/util"
	"github.com/prometheus/client_golang/prometheus"

	"github.com/matrix-org/dendrite/internal"
	"github.com/matrix-org/dendrite/roomserver/types"
)

type StateResolutionStorage interface {
	EventTypeNIDs(ctx context.Context, eventTypes []string) (map[string]types.EventTypeNID, error)
	EventStateKeyNIDs(ctx context.Context, eventStateKeys []string) (map[string]types.EventStateKeyNID, error)
	StateBlockNIDs(ctx context.Context, stateNIDs []types.StateSnapshotNID) ([]types.StateBlockNIDList, error)
	StateEntries(ctx context.Context, stateBlockNIDs []types.StateBlockNID) ([]types.StateEntryList, error)
	SnapshotNIDFromEventID(ctx context.Context, eventID string) (types.StateSnapshotNID, error)
	BulkSelectSnapshotsFromEventIDs(ctx context.Context, eventIDs []string) (map[types.StateSnapshotNID][]string, error)
	StateEntriesForTuples(ctx context.Context, stateBlockNIDs []types.StateBlockNID, stateKeyTuples []types.StateKeyTuple) ([]types.StateEntryList, error)
	StateAtEventIDs(ctx context.Context, eventIDs []string) ([]types.StateAtEvent, error)
	AddState(ctx context.Context, roomNID types.RoomNID, stateBlockNIDs []types.StateBlockNID, state []types.StateEntry) (types.StateSnapshotNID, error)
	Events(ctx context.Context, roomVersion gomatrixserverlib.RoomVersion, eventNIDs []types.EventNID) ([]types.Event, error)
	EventsFromIDs(ctx context.Context, roomInfo *types.RoomInfo, eventIDs []string) ([]types.Event, error)
}

type StateResolution struct {
	db       StateResolutionStorage
	roomInfo *types.RoomInfo
	events   map[types.EventNID]gomatrixserverlib.PDU
}

func NewStateResolution(db StateResolutionStorage, roomInfo *types.RoomInfo) StateResolution {
	return StateResolution{
		db:       db,
		roomInfo: roomInfo,
		events:   make(map[types.EventNID]gomatrixserverlib.PDU),
	}
}

type PowerLevelResolver interface {
	Resolve(ctx context.Context, eventID string) (*gomatrixserverlib.PowerLevelContent, error)
}

func (p *StateResolution) Resolve(ctx context.Context, eventID string) (*gomatrixserverlib.PowerLevelContent, error) {
	stateEntries, err := p.LoadStateAtEvent(ctx, eventID)
	if err != nil {
		return nil, err
	}

	wantTuple := types.StateKeyTuple{
		EventTypeNID:     types.MRoomPowerLevelsNID,
		EventStateKeyNID: types.EmptyStateKeyNID,
	}

	var plNID types.EventNID
	for _, entry := range stateEntries {
		if entry.StateKeyTuple == wantTuple {
			plNID = entry.EventNID
			break
		}
	}
	if plNID == 0 {
		return nil, fmt.Errorf("unable to find power level event")
	}

	if p.roomInfo == nil {
		return nil, types.ErrorInvalidRoomInfo
	}
	events, err := p.db.Events(ctx, p.roomInfo.RoomVersion, []types.EventNID{plNID})
	if err != nil {
		return nil, err
	}
	if len(events) == 0 {
		return nil, fmt.Errorf("unable to find power level event")
	}
	powerlevels, err := events[0].PowerLevels()
	if err != nil {
		return nil, err
	}

	return powerlevels, nil
}

// LoadStateAtSnapshot loads the full state of a room at a particular snapshot.
// This is typically the state before an event or the current state of a room.
// Returns a sorted list of state entries or an error if there was a problem talking to the database.
func (v *StateResolution) LoadStateAtSnapshot(
	ctx context.Context, stateNID types.StateSnapshotNID,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.LoadStateAtSnapshot")
	defer trace.EndRegion()

	stateBlockNIDLists, err := v.db.StateBlockNIDs(ctx, []types.StateSnapshotNID{stateNID})
	if err != nil {
		return nil, err
	}
	// We've asked for exactly one snapshot from the db so we should have exactly one entry in the result.
	stateBlockNIDList := stateBlockNIDLists[0]

	stateEntryLists, err := v.db.StateEntries(ctx, stateBlockNIDList.StateBlockNIDs)
	if err != nil {
		return nil, err
	}
	stateEntriesMap := stateEntryListMap(stateEntryLists)

	// Combine all the state entries for this snapshot.
	// The order of state block NIDs in the list tells us the order to combine them in.
	var fullState []types.StateEntry
	for _, stateBlockNID := range stateBlockNIDList.StateBlockNIDs {
		entries, ok := stateEntriesMap.lookup(stateBlockNID)
		if !ok {
			// This should only get hit if the database is corrupt.
			// It should be impossible for an event to reference a NID that doesn't exist
			panic(fmt.Errorf("corrupt DB: Missing state block numeric ID %d", stateBlockNID))
		}
		fullState = append(fullState, entries...)
	}

	// Stable sort so that the most recent entry for each state key stays
	// remains later in the list than the older entries for the same state key.
	sort.Stable(stateEntryByStateKeySorter(fullState))
	// Unique returns the last entry and hence the most recent entry for each state key.
	fullState = fullState[:util.Unique(stateEntryByStateKeySorter(fullState))]
	return fullState, nil
}

// LoadStateAtEvent loads the full state of a room before a particular event.
func (v *StateResolution) LoadStateAtEvent(
	ctx context.Context, eventID string,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.LoadStateAtEvent")
	defer trace.EndRegion()

	snapshotNID, err := v.db.SnapshotNIDFromEventID(ctx, eventID)
	if err != nil {
		return nil, fmt.Errorf("LoadStateAtEvent.SnapshotNIDFromEventID failed for event %s : %w", eventID, err)
	}
	if snapshotNID == 0 {
		return nil, fmt.Errorf("LoadStateAtEvent.SnapshotNIDFromEventID(%s) returned 0 NID, was this event stored?", eventID)
	}

	stateEntries, err := v.LoadStateAtSnapshot(ctx, snapshotNID)
	if err != nil {
		return nil, err
	}

	return stateEntries, nil
}

func (v *StateResolution) LoadMembershipAtEvent(
	ctx context.Context, eventIDs []string, stateKeyNID types.EventStateKeyNID,
) (map[string][]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.LoadMembershipAtEvent")
	defer trace.EndRegion()

	// Get a mapping from snapshotNID -> eventIDs
	snapshotNIDMap, err := v.db.BulkSelectSnapshotsFromEventIDs(ctx, eventIDs)
	if err != nil {
		return nil, err
	}

	snapshotNIDs := make([]types.StateSnapshotNID, 0, len(snapshotNIDMap))
	for nid := range snapshotNIDMap {
		snapshotNIDs = append(snapshotNIDs, nid)
	}

	stateBlockNIDLists, err := v.db.StateBlockNIDs(ctx, snapshotNIDs)
	if err != nil {
		return nil, err
	}

	var wantStateBlocks []types.StateBlockNID
	for _, x := range stateBlockNIDLists {
		wantStateBlocks = append(wantStateBlocks, x.StateBlockNIDs...)
	}

	stateEntryLists, err := v.db.StateEntriesForTuples(ctx, uniqueStateBlockNIDs(wantStateBlocks), []types.StateKeyTuple{
		{
			EventTypeNID:     types.MRoomMemberNID,
			EventStateKeyNID: stateKeyNID,
		},
	})
	if err != nil {
		return nil, err
	}

	stateBlockNIDsMap := stateBlockNIDListMap(stateBlockNIDLists)
	stateEntriesMap := stateEntryListMap(stateEntryLists)

	result := make(map[string][]types.StateEntry)
	for _, stateBlockNIDList := range stateBlockNIDLists {
		stateBlockNIDs, ok := stateBlockNIDsMap.lookup(stateBlockNIDList.StateSnapshotNID)
		if !ok {
			// This should only get hit if the database is corrupt.
			// It should be impossible for an event to reference a NID that doesn't exist
			return nil, fmt.Errorf("corrupt DB: Missing state snapshot numeric ID %d", stateBlockNIDList.StateSnapshotNID)
		}

		for _, stateBlockNID := range stateBlockNIDs {
			entries, ok := stateEntriesMap.lookup(stateBlockNID)
			if !ok {
				// This should only get hit if the database is corrupt.
				// It should be impossible for an event to reference a NID that doesn't exist
				return nil, fmt.Errorf("corrupt DB: Missing state block numeric ID %d", stateBlockNID)
			}

			evIDs := snapshotNIDMap[stateBlockNIDList.StateSnapshotNID]

			for _, evID := range evIDs {
				result[evID] = append(result[evID], entries...)
			}
		}
	}

	return result, nil
}

// LoadStateAtEvent loads the full state of a room before a particular event.
func (v *StateResolution) LoadStateAtEventForHistoryVisibility(
	ctx context.Context, eventID string,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.LoadStateAtEventForHistoryVisibility")
	defer trace.EndRegion()

	snapshotNID, err := v.db.SnapshotNIDFromEventID(ctx, eventID)
	if err != nil {
		return nil, fmt.Errorf("LoadStateAtEvent.SnapshotNIDFromEventID failed for event %s : %w", eventID, err)
	}
	if snapshotNID == 0 {
		return nil, fmt.Errorf("LoadStateAtEvent.SnapshotNIDFromEventID(%s) returned 0 NID, was this event stored?", eventID)
	}

	stateEntries, err := v.LoadStateAtSnapshot(ctx, snapshotNID)
	if err != nil {
		return nil, err
	}

	return stateEntries, nil
}

// LoadCombinedStateAfterEvents loads a snapshot of the state after each of the events
// and combines those snapshots together into a single list. At this point it is
// possible to run into duplicate (type, state key) tuples.
func (v *StateResolution) LoadCombinedStateAfterEvents(
	ctx context.Context, prevStates []types.StateAtEvent,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.LoadCombinedStateAfterEvents")
	defer trace.EndRegion()

	stateNIDs := make([]types.StateSnapshotNID, len(prevStates))
	for i, state := range prevStates {
		stateNIDs[i] = state.BeforeStateSnapshotNID
	}
	// Fetch the state snapshots for the state before the each prev event from the database.
	// Deduplicate the IDs before passing them to the database.
	// There could be duplicates because the events could be state events where
	// the snapshot of the room state before them was the same.
	stateBlockNIDLists, err := v.db.StateBlockNIDs(ctx, UniqueStateSnapshotNIDs(stateNIDs))
	if err != nil {
		return nil, fmt.Errorf("v.db.StateBlockNIDs: %w", err)
	}

	var stateBlockNIDs []types.StateBlockNID
	for _, list := range stateBlockNIDLists {
		stateBlockNIDs = append(stateBlockNIDs, list.StateBlockNIDs...)
	}
	// Fetch the state entries that will be combined to create the snapshots.
	// Deduplicate the IDs before passing them to the database.
	// There could be duplicates because a block of state entries could be reused by
	// multiple snapshots.
	stateEntryLists, err := v.db.StateEntries(ctx, uniqueStateBlockNIDs(stateBlockNIDs))
	if err != nil {
		return nil, fmt.Errorf("v.db.StateEntries: %w", err)
	}
	stateBlockNIDsMap := stateBlockNIDListMap(stateBlockNIDLists)
	stateEntriesMap := stateEntryListMap(stateEntryLists)

	// Combine the entries from all the snapshots of state after each prev event into a single list.
	var combined []types.StateEntry
	for _, prevState := range prevStates {
		// Grab the list of state data NIDs for this snapshot.
		stateBlockNIDs, ok := stateBlockNIDsMap.lookup(prevState.BeforeStateSnapshotNID)
		if !ok {
			// This should only get hit if the database is corrupt.
			// It should be impossible for an event to reference a NID that doesn't exist
			panic(fmt.Errorf("corrupt DB: Missing state snapshot numeric ID %d", prevState.BeforeStateSnapshotNID))
		}

		// Combine all the state entries for this snapshot.
		// The order of state block NIDs in the list tells us the order to combine them in.
		var fullState []types.StateEntry
		for _, stateBlockNID := range stateBlockNIDs {
			entries, ok := stateEntriesMap.lookup(stateBlockNID)
			if !ok {
				// This should only get hit if the database is corrupt.
				// It should be impossible for an event to reference a NID that doesn't exist
				panic(fmt.Errorf("corrupt DB: Missing state block numeric ID %d", stateBlockNID))
			}
			fullState = append(fullState, entries...)
		}
		if prevState.IsStateEvent() && !prevState.IsRejected {
			// If the prev event was a state event then add an entry for the event itself
			// so that we get the state after the event rather than the state before.
			fullState = append(fullState, prevState.StateEntry)
		}

		// Stable sort so that the most recent entry for each state key stays
		// remains later in the list than the older entries for the same state key.
		sort.Stable(stateEntryByStateKeySorter(fullState))
		// Unique returns the last entry and hence the most recent entry for each state key.
		fullState = fullState[:util.Unique(stateEntryByStateKeySorter(fullState))]
		// Add the full state for this StateSnapshotNID.
		combined = append(combined, fullState...)
	}
	return combined, nil
}

// DifferenceBetweeenStateSnapshots works out which state entries have been added and removed between two snapshots.
func (v *StateResolution) DifferenceBetweeenStateSnapshots(
	ctx context.Context, oldStateNID, newStateNID types.StateSnapshotNID,
) (removed, added []types.StateEntry, err error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.DifferenceBetweeenStateSnapshots")
	defer trace.EndRegion()

	if oldStateNID == newStateNID {
		// If the snapshot NIDs are the same then nothing has changed
		return nil, nil, nil
	}

	var oldEntries []types.StateEntry
	var newEntries []types.StateEntry
	if oldStateNID != 0 {
		oldEntries, err = v.LoadStateAtSnapshot(ctx, oldStateNID)
		if err != nil {
			return nil, nil, err
		}
	}
	if newStateNID != 0 {
		newEntries, err = v.LoadStateAtSnapshot(ctx, newStateNID)
		if err != nil {
			return nil, nil, err
		}
	}

	var oldI int
	var newI int
	for {
		switch {
		case oldI == len(oldEntries):
			// We've reached the end of the old entries.
			// The rest of the new list must have been newly added.
			added = append(added, newEntries[newI:]...)
			return
		case newI == len(newEntries):
			// We've reached the end of the new entries.
			// The rest of the old list must be have been removed.
			removed = append(removed, oldEntries[oldI:]...)
			return
		case oldEntries[oldI] == newEntries[newI]:
			// The entry is in both lists so skip over it.
			oldI++
			newI++
		case oldEntries[oldI].LessThan(newEntries[newI]):
			// The lists are sorted so the old entry being less than the new entry means that it only appears in the old list.
			removed = append(removed, oldEntries[oldI])
			oldI++
		default:
			// Reaching the default case implies that the new entry is less than the old entry.
			// Since the lists are sorted this means that it only appears in the new list.
			added = append(added, newEntries[newI])
			newI++
		}
	}
}

// LoadStateAtSnapshotForStringTuples loads the state for a list of event type and state key pairs at a snapshot.
// This is used when we only want to load a subset of the room state at a snapshot.
// If there is no entry for a given event type and state key pair then it will be discarded.
// This is typically the state before an event or the current state of a room.
// Returns a sorted list of state entries or an error if there was a problem talking to the database.
func (v *StateResolution) LoadStateAtSnapshotForStringTuples(
	ctx context.Context,
	stateNID types.StateSnapshotNID,
	stateKeyTuples []gomatrixserverlib.StateKeyTuple,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.LoadStateAtSnapshotForStringTuples")
	defer trace.EndRegion()

	numericTuples, err := v.stringTuplesToNumericTuples(ctx, stateKeyTuples)
	if err != nil {
		return nil, err
	}
	return v.loadStateAtSnapshotForNumericTuples(ctx, stateNID, numericTuples)
}

// stringTuplesToNumericTuples converts the string state key tuples into numeric IDs
// If there isn't a numeric ID for either the event type or the event state key then the tuple is discarded.
// Returns an error if there was a problem talking to the database.
func (v *StateResolution) stringTuplesToNumericTuples(
	ctx context.Context,
	stringTuples []gomatrixserverlib.StateKeyTuple,
) ([]types.StateKeyTuple, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.stringTuplesToNumericTuples")
	defer trace.EndRegion()

	eventTypes := make([]string, len(stringTuples))
	stateKeys := make([]string, len(stringTuples))
	for i := range stringTuples {
		eventTypes[i] = stringTuples[i].EventType
		stateKeys[i] = stringTuples[i].StateKey
	}
	eventTypes = util.UniqueStrings(eventTypes)
	eventTypeMap, err := v.db.EventTypeNIDs(ctx, eventTypes)
	if err != nil {
		return nil, err
	}
	stateKeys = util.UniqueStrings(stateKeys)
	stateKeyMap, err := v.db.EventStateKeyNIDs(ctx, stateKeys)
	if err != nil {
		return nil, err
	}

	var result []types.StateKeyTuple
	for _, stringTuple := range stringTuples {
		var numericTuple types.StateKeyTuple
		var ok1, ok2 bool
		numericTuple.EventTypeNID, ok1 = eventTypeMap[stringTuple.EventType]
		numericTuple.EventStateKeyNID, ok2 = stateKeyMap[stringTuple.StateKey]
		// Discard the tuple if there wasn't a numeric ID for either the event type or the state key.
		if ok1 && ok2 {
			result = append(result, numericTuple)
		}
	}

	return result, nil
}

// loadStateAtSnapshotForNumericTuples loads the state for a list of event type and state key pairs at a snapshot.
// This is used when we only want to load a subset of the room state at a snapshot.
// If there is no entry for a given event type and state key pair then it will be discarded.
// This is typically the state before an event or the current state of a room.
// Returns a sorted list of state entries or an error if there was a problem talking to the database.
func (v *StateResolution) loadStateAtSnapshotForNumericTuples(
	ctx context.Context,
	stateNID types.StateSnapshotNID,
	stateKeyTuples []types.StateKeyTuple,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.loadStateAtSnapshotForNumericTuples")
	defer trace.EndRegion()

	stateBlockNIDLists, err := v.db.StateBlockNIDs(ctx, []types.StateSnapshotNID{stateNID})
	if err != nil {
		return nil, err
	}
	// We've asked for exactly one snapshot from the db so we should have exactly one entry in the result.
	stateBlockNIDList := stateBlockNIDLists[0]

	stateEntryLists, err := v.db.StateEntriesForTuples(
		ctx, stateBlockNIDList.StateBlockNIDs, stateKeyTuples,
	)
	if err != nil {
		return nil, err
	}
	stateEntriesMap := stateEntryListMap(stateEntryLists)

	// Combine all the state entries for this snapshot.
	// The order of state block NIDs in the list tells us the order to combine them in.
	var fullState []types.StateEntry
	for _, stateBlockNID := range stateBlockNIDList.StateBlockNIDs {
		entries, ok := stateEntriesMap.lookup(stateBlockNID)
		if !ok {
			// If the block is missing from the map it means that none of its entries matched a requested tuple.
			// This can happen if the block doesn't contain an update for one of the requested tuples.
			// If none of the requested tuples are in the block then it can be safely skipped.
			continue
		}
		fullState = append(fullState, entries...)
	}

	// Stable sort so that the most recent entry for each state key stays
	// remains later in the list than the older entries for the same state key.
	sort.Stable(stateEntryByStateKeySorter(fullState))
	// Unique returns the last entry and hence the most recent entry for each state key.
	fullState = fullState[:util.Unique(stateEntryByStateKeySorter(fullState))]
	return fullState, nil
}

// LoadStateAfterEventsForStringTuples loads the state for a list of event type
// and state key pairs after list of events.
// This is used when we only want to load a subset of the room state after a list of events.
// If there is no entry for a given event type and state key pair then it will be discarded.
// This is typically the state before an event.
// Returns a sorted list of state entries or an error if there was a problem talking to the database.
func (v *StateResolution) LoadStateAfterEventsForStringTuples(
	ctx context.Context,
	prevStates []types.StateAtEvent,
	stateKeyTuples []gomatrixserverlib.StateKeyTuple,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.LoadStateAfterEventsForStringTuples")
	defer trace.EndRegion()

	numericTuples, err := v.stringTuplesToNumericTuples(ctx, stateKeyTuples)
	if err != nil {
		return nil, err
	}
	return v.loadStateAfterEventsForNumericTuples(ctx, prevStates, numericTuples)
}

func (v *StateResolution) loadStateAfterEventsForNumericTuples(
	ctx context.Context,
	prevStates []types.StateAtEvent,
	stateKeyTuples []types.StateKeyTuple,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.loadStateAfterEventsForNumericTuples")
	defer trace.EndRegion()

	if len(prevStates) == 1 {
		// Fast path for a single event.
		prevState := prevStates[0]
		result, err := v.loadStateAtSnapshotForNumericTuples(
			ctx, prevState.BeforeStateSnapshotNID, stateKeyTuples,
		)
		if err != nil {
			return nil, err
		}
		if prevState.IsStateEvent() {
			// The result is current the state before the requested event.
			// We want the state after the requested event.
			// If the requested event was a state event then we need to
			// update that key in the result.
			// If the requested event wasn't a state event then the state after
			// it is the same as the state before it.
			set := false
			for i := range result {
				if result[i].StateKeyTuple == prevState.StateKeyTuple {
					result[i] = prevState.StateEntry
					set = true
				}
			}
			if !set { // no previous state exists for this event: add new state
				result = append(result, prevState.StateEntry)
			}
		}
		return result, nil
	}

	// Slow path for more that one event.
	// Load the entire state so that we can do conflict resolution if we need to.
	// TODO: The are some optimistations we could do here:
	//    1) We only need to do conflict resolution if there is a conflict in the
	//       requested tuples so we might try loading just those tuples and then
	//       checking for conflicts.
	//    2) When there is a conflict we still only need to load the state
	//       needed to do conflict resolution which would save us having to load
	//       the full state.

	// TODO: Add metrics for this as it could take a long time for big rooms
	// with large conflicts.
	fullState, _, _, err := v.calculateStateAfterManyEvents(ctx, v.roomInfo.RoomVersion, prevStates)
	if err != nil {
		return nil, err
	}

	// Sort the full state so we can use it as a map.
	sort.Sort(stateEntrySorter(fullState))

	// Filter the full state down to the required tuples.
	var result []types.StateEntry
	for _, tuple := range stateKeyTuples {
		eventNID, ok := stateEntryMap(fullState).lookup(tuple)
		if ok {
			result = append(result, types.StateEntry{
				StateKeyTuple: tuple,
				EventNID:      eventNID,
			})
		}
	}
	sort.Sort(stateEntrySorter(result))
	return result, nil
}

var calculateStateDurations = prometheus.NewHistogramVec(
	prometheus.HistogramOpts{
		Namespace: "dendrite",
		Subsystem: "roomserver",
		Name:      "calculate_state_duration_milliseconds",
		Help:      "How long it takes to calculate the state after a list of events",
		Buckets: []float64{ // milliseconds
			5, 10, 25, 50, 75, 100, 200, 300, 400, 500,
			1000, 2000, 3000, 4000, 5000, 6000,
			7000, 8000, 9000, 10000, 15000, 20000, 30000,
		},
	},
	// Takes two labels:
	//   algorithm:
	//      The algorithm used to calculate the state or the step it failed on if it failed.
	//      Labels starting with "_" are used to indicate when the algorithm fails halfway.
	//  outcome:
	//      Whether the state was successfully calculated.
	//
	// The possible values for algorithm are:
	//    empty_state -> The list of events was empty so the state is empty.
	//    no_change -> The state hasn't changed.
	//    single_delta -> There was a single event added to the state in a way that can be encoded as a single delta
	//    full_state_no_conflicts -> We created a new copy of the full room state, but didn't enounter any conflicts
	//                               while doing so.
	//    full_state_with_conflicts -> We created a new copy of the full room state and had to resolve conflicts to do so.
	//    _load_state_block_nids -> Failed loading the state block nids for a single previous state.
	//    _load_combined_state -> Failed to load the combined state.
	//    _resolve_conflicts -> Failed to resolve conflicts.
	[]string{"algorithm", "outcome"},
)

var calculateStatePrevEventLength = prometheus.NewSummaryVec(
	prometheus.SummaryOpts{
		Namespace: "dendrite",
		Subsystem: "roomserver",
		Name:      "calculate_state_prev_event_length",
		Help:      "The length of the list of events to calculate the state after",
	},
	[]string{"algorithm", "outcome"},
)

var calculateStateFullStateLength = prometheus.NewSummaryVec(
	prometheus.SummaryOpts{
		Namespace: "dendrite",
		Subsystem: "roomserver",
		Name:      "calculate_state_full_state_length",
		Help:      "The length of the full room state.",
	},
	[]string{"algorithm", "outcome"},
)

var calculateStateConflictLength = prometheus.NewSummaryVec(
	prometheus.SummaryOpts{
		Namespace: "dendrite",
		Subsystem: "roomserver",
		Name:      "calculate_state_conflict_state_length",
		Help:      "The length of the conflicted room state.",
	},
	[]string{"algorithm", "outcome"},
)

type calculateStateMetrics struct {
	algorithm       string
	startTime       time.Time
	prevEventLength int
	fullStateLength int
	conflictLength  int
}

func (c *calculateStateMetrics) stop(stateNID types.StateSnapshotNID, err error) (types.StateSnapshotNID, error) {
	var outcome string
	if err == nil {
		outcome = "success"
	} else {
		outcome = "failure"
	}
	calculateStateDurations.WithLabelValues(c.algorithm, outcome).Observe(
		float64(time.Since(c.startTime).Milliseconds()),
	)
	calculateStatePrevEventLength.WithLabelValues(c.algorithm, outcome).Observe(
		float64(c.prevEventLength),
	)
	calculateStateFullStateLength.WithLabelValues(c.algorithm, outcome).Observe(
		float64(c.fullStateLength),
	)
	calculateStateConflictLength.WithLabelValues(c.algorithm, outcome).Observe(
		float64(c.conflictLength),
	)
	return stateNID, err
}

func init() {
	prometheus.MustRegister(
		calculateStateDurations, calculateStatePrevEventLength,
		calculateStateFullStateLength, calculateStateConflictLength,
	)
}

// CalculateAndStoreStateBeforeEvent calculates a snapshot of the state of a room before an event.
// Stores the snapshot of the state in the database.
// Returns a numeric ID for the snapshot of the state before the event.
func (v *StateResolution) CalculateAndStoreStateBeforeEvent(
	ctx context.Context,
	event gomatrixserverlib.PDU,
	isRejected bool,
) (types.StateSnapshotNID, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.CalculateAndStoreStateBeforeEvent")
	defer trace.EndRegion()

	// Load the state at the prev events.
	prevStates, err := v.db.StateAtEventIDs(ctx, event.PrevEventIDs())
	if err != nil {
		return 0, err
	}

	// The state before this event will be the state after the events that came before it.
	return v.CalculateAndStoreStateAfterEvents(ctx, prevStates)
}

// CalculateAndStoreStateAfterEvents finds the room state after the given events.
// Stores the resulting state in the database and returns a numeric ID for that snapshot.
func (v *StateResolution) CalculateAndStoreStateAfterEvents(
	ctx context.Context,
	prevStates []types.StateAtEvent,
) (types.StateSnapshotNID, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.CalculateAndStoreStateAfterEvents")
	defer trace.EndRegion()

	metrics := calculateStateMetrics{startTime: time.Now(), prevEventLength: len(prevStates)}

	if len(prevStates) == 0 {
		// 2) There weren't any prev_events for this event so the state is
		// empty.
		metrics.algorithm = "empty_state"
		stateNID, err := v.db.AddState(ctx, v.roomInfo.RoomNID, nil, nil)
		if err != nil {
			err = fmt.Errorf("v.db.AddState: %w", err)
		}
		return metrics.stop(stateNID, err)
	}

	if len(prevStates) == 1 {
		prevState := prevStates[0]
		if prevState.EventStateKeyNID == 0 || prevState.IsRejected {
			// 3) None of the previous events were state events and they all
			// have the same state, so this event has exactly the same state
			// as the previous events.
			// This should be the internal case.
			metrics.algorithm = "no_change"
			return metrics.stop(prevState.BeforeStateSnapshotNID, nil)
		}
		// The previous event was a state event so we need to store a copy
		// of the previous state updated with that event.
		stateBlockNIDLists, err := v.db.StateBlockNIDs(
			ctx, []types.StateSnapshotNID{prevState.BeforeStateSnapshotNID},
		)
		if err != nil {
			metrics.algorithm = "_load_state_blocks"
			return metrics.stop(0, fmt.Errorf("v.db.StateBlockNIDs: %w", err))
		}
		stateBlockNIDs := stateBlockNIDLists[0].StateBlockNIDs
		if len(stateBlockNIDs) < maxStateBlockNIDs {
			// 4) The number of state data blocks is small enough that we can just
			// add the state event as a block of size one to the end of the blocks.
			metrics.algorithm = "single_delta"
			stateNID, err := v.db.AddState(
				ctx, v.roomInfo.RoomNID, stateBlockNIDs, []types.StateEntry{prevState.StateEntry},
			)
			if err != nil {
				err = fmt.Errorf("v.db.AddState: %w", err)
			}
			return metrics.stop(stateNID, err)
		}
		// If there are too many deltas then we need to calculate the full state
		// So fall through to calculateAndStoreStateAfterManyEvents
	}

	stateNID, err := v.calculateAndStoreStateAfterManyEvents(ctx, v.roomInfo.RoomNID, prevStates, metrics)
	if err != nil {
		return 0, fmt.Errorf("v.calculateAndStoreStateAfterManyEvents: %w", err)
	}
	return stateNID, nil
}

// maxStateBlockNIDs is the maximum number of state data blocks to use to encode a snapshot of room state.
// Increasing this number means that we can encode more of the state changes as simple deltas which means that
// we need fewer entries in the state data table. However making this number bigger will increase the size of
// the rows in the state table itself and will require more index lookups when retrieving a snapshot.
// TODO: Tune this to get the right balance between size and lookup performance.
const maxStateBlockNIDs = 64

// calculateAndStoreStateAfterManyEvents finds the room state after the given events.
// This handles the slow path of calculateAndStoreStateAfterEvents for when there is more than one event.
// Stores the resulting state and returns a numeric ID for the snapshot.
func (v *StateResolution) calculateAndStoreStateAfterManyEvents(
	ctx context.Context,
	roomNID types.RoomNID,
	prevStates []types.StateAtEvent,
	metrics calculateStateMetrics,
) (types.StateSnapshotNID, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.calculateAndStoreStateAfterManyEvents")
	defer trace.EndRegion()

	state, algorithm, conflictLength, err :=
		v.calculateStateAfterManyEvents(ctx, v.roomInfo.RoomVersion, prevStates)
	metrics.algorithm = algorithm
	if err != nil {
		return metrics.stop(0, fmt.Errorf("v.calculateStateAfterManyEvents: %w", err))
	}

	// TODO: Check if we can encode the new state as a delta against the
	// previous state.
	metrics.conflictLength = conflictLength
	metrics.fullStateLength = len(state)
	return metrics.stop(v.db.AddState(ctx, roomNID, nil, state))
}

func (v *StateResolution) calculateStateAfterManyEvents(
	ctx context.Context, roomVersion gomatrixserverlib.RoomVersion,
	prevStates []types.StateAtEvent,
) (state []types.StateEntry, algorithm string, conflictLength int, err error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.calculateStateAfterManyEvents")
	defer trace.EndRegion()

	var combined []types.StateEntry
	// Conflict resolution.
	// First stage: load the state after each of the prev events.
	combined, err = v.LoadCombinedStateAfterEvents(ctx, prevStates)
	if err != nil {
		err = fmt.Errorf("v.LoadCombinedStateAfterEvents: %w", err)
		algorithm = "_load_combined_state"
		return
	}

	// Collect all the entries with the same type and key together.
	// This is done so findDuplicateStateKeys can work in groups.
	// We remove duplicates (same type, state key and event NID) too.
	combined = combined[:util.SortAndUnique(stateEntrySorter(combined))]

	// Find the conflicts
	if conflicts := findDuplicateStateKeys(combined); len(conflicts) > 0 {
		conflictMap := stateEntryMap(conflicts)
		conflictLength = len(conflicts)

		// 5) There are conflicting state events, for each conflict workout
		// what the appropriate state event is.

		// Work out which entries aren't conflicted.
		var notConflicted []types.StateEntry
		for _, entry := range combined {
			if _, ok := conflictMap.lookup(entry.StateKeyTuple); !ok {
				notConflicted = append(notConflicted, entry)
			}
		}

		var resolved []types.StateEntry
		resolved, err = v.resolveConflicts(ctx, roomVersion, notConflicted, conflicts)
		if err != nil {
			err = fmt.Errorf("v.resolveConflits: %w", err)
			algorithm = "_resolve_conflicts"
			return
		}
		algorithm = "full_state_with_conflicts"
		state = resolved
	} else {
		algorithm = "full_state_no_conflicts"
		// 6) There weren't any conflicts
		state = combined
	}
	return
}

func (v *StateResolution) resolveConflicts(
	ctx context.Context, version gomatrixserverlib.RoomVersion,
	notConflicted, conflicted []types.StateEntry,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.resolveConflicts")
	defer trace.EndRegion()

	verImpl, err := gomatrixserverlib.GetRoomVersion(version)
	if err != nil {
		return nil, err
	}

	stateResAlgo := verImpl.StateResAlgorithm()
	switch stateResAlgo {
	case gomatrixserverlib.StateResV1:
		return v.resolveConflictsV1(ctx, notConflicted, conflicted)
	case gomatrixserverlib.StateResV2:
		return v.resolveConflictsV2(ctx, notConflicted, conflicted)
	}
	return nil, fmt.Errorf("unsupported state resolution algorithm %v", stateResAlgo)
}

// resolveConflicts resolves a list of conflicted state entries. It takes two lists.
// The first is a list of all state entries that are not conflicted.
// The second is a list of all state entries that are conflicted
// A state entry is conflicted when there is more than one numeric event ID for the same state key tuple.
// Returns a list that combines the entries without conflicts with the result of state resolution for the entries with conflicts.
// The returned list is sorted by state key tuple.
// Returns an error if there was a problem talking to the database.
func (v *StateResolution) resolveConflictsV1(
	ctx context.Context,
	notConflicted, conflicted []types.StateEntry,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.resolveConflictsV1")
	defer trace.EndRegion()

	// Load the conflicted events
	conflictedEvents, eventIDMap, err := v.loadStateEvents(ctx, conflicted)
	if err != nil {
		return nil, err
	}

	// Work out which auth events we need to load.
	needed := gomatrixserverlib.StateNeededForAuth(conflictedEvents)

	// Find the numeric IDs for the necessary state keys.
	var neededStateKeys []string
	neededStateKeys = append(neededStateKeys, needed.Member...)
	neededStateKeys = append(neededStateKeys, needed.ThirdPartyInvite...)
	stateKeyNIDMap, err := v.db.EventStateKeyNIDs(ctx, neededStateKeys)
	if err != nil {
		return nil, err
	}

	// Load the necessary auth events.
	tuplesNeeded := v.stateKeyTuplesNeeded(stateKeyNIDMap, needed)
	var authEntries []types.StateEntry
	for _, tuple := range tuplesNeeded {
		if eventNID, ok := stateEntryMap(notConflicted).lookup(tuple); ok {
			authEntries = append(authEntries, types.StateEntry{
				StateKeyTuple: tuple,
				EventNID:      eventNID,
			})
		}
	}
	authEvents, _, err := v.loadStateEvents(ctx, authEntries)
	if err != nil {
		return nil, err
	}

	// Resolve the conflicts.
	resolvedEvents := gomatrixserverlib.ResolveStateConflicts(conflictedEvents, authEvents)

	// Map from the full events back to numeric state entries.
	for _, resolvedEvent := range resolvedEvents {
		entry, ok := eventIDMap[resolvedEvent.EventID()]
		if !ok {
			panic(fmt.Errorf("missing state entry for event ID %q", resolvedEvent.EventID()))
		}
		notConflicted = append(notConflicted, entry)
	}

	// Sort the result so it can be searched.
	sort.Sort(stateEntrySorter(notConflicted))
	return notConflicted, nil
}

// resolveConflicts resolves a list of conflicted state entries. It takes two lists.
// The first is a list of all state entries that are not conflicted.
// The second is a list of all state entries that are conflicted
// A state entry is conflicted when there is more than one numeric event ID for the same state key tuple.
// Returns a list that combines the entries without conflicts with the result of state resolution for the entries with conflicts.
// The returned list is sorted by state key tuple.
// Returns an error if there was a problem talking to the database.
func (v *StateResolution) resolveConflictsV2(
	ctx context.Context,
	notConflicted, conflicted []types.StateEntry,
) ([]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.resolveConflictsV2")
	defer trace.EndRegion()

	estimate := len(conflicted) + len(notConflicted)
	eventIDMap := make(map[string]types.StateEntry, estimate)

	// Load the conflicted events
	conflictedEvents, conflictedEventMap, err := v.loadStateEvents(ctx, conflicted)
	if err != nil {
		return nil, err
	}
	for k, v := range conflictedEventMap {
		eventIDMap[k] = v
	}

	// Load the non-conflicted events
	nonConflictedEvents, nonConflictedEventMap, err := v.loadStateEvents(ctx, notConflicted)
	if err != nil {
		return nil, err
	}
	for k, v := range nonConflictedEventMap {
		eventIDMap[k] = v
	}

	// For each conflicted event, we will add a new set of auth events. Auth
	// events may be duplicated across these sets but that's OK.
	authSets := make(map[string][]gomatrixserverlib.PDU, len(conflicted))
	authEvents := make([]gomatrixserverlib.PDU, 0, estimate*3)
	gotAuthEvents := make(map[string]struct{}, estimate*3)
	knownAuthEvents := make(map[string]types.Event, estimate*3)

	// For each conflicted event, let's try and get the needed auth events.
	if err = func() error {
		loadAuthEventsTrace, sctx := internal.StartRegion(ctx, "StateResolution.loadAuthEvents")
		defer loadAuthEventsTrace.EndRegion()

		loader := authEventLoader{
			v:              v,
			lookupFromDB:   make([]string, 0, len(conflictedEvents)*3),
			lookupFromMem:  make([]string, 0, len(conflictedEvents)*3),
			lookedUpEvents: make([]types.Event, 0, len(conflictedEvents)*3),
			eventMap:       map[string]types.Event{},
		}
		for _, conflictedEvent := range conflictedEvents {
			// Work out which auth events we need to load.
			key := conflictedEvent.EventID()

			// Store the newly found auth events in the auth set for this event.
			var authEventMap map[string]types.StateEntry
			authSets[key], authEventMap, err = loader.loadAuthEvents(sctx, v.roomInfo, conflictedEvent, knownAuthEvents)
			if err != nil {
				return err
			}
			for k, v := range authEventMap {
				eventIDMap[k] = v
			}

			// Only add auth events into the authEvents slice once, otherwise the
			// check for the auth difference can become expensive and produce
			// duplicate entries, which just waste memory and CPU time.
			for _, event := range authSets[key] {
				if _, ok := gotAuthEvents[event.EventID()]; !ok {
					authEvents = append(authEvents, event)
					gotAuthEvents[event.EventID()] = struct{}{}
				}
			}
		}
		return nil
	}(); err != nil {
		return nil, err
	}

	// Kill the reference to this so that the GC may pick it up, since we no
	// longer need this after this point.
	gotAuthEvents = nil // nolint:ineffassign

	// Resolve the conflicts.
	resolvedEvents := func() []gomatrixserverlib.PDU {
		resolvedTrace, _ := internal.StartRegion(ctx, "StateResolution.ResolveStateConflictsV2")
		defer resolvedTrace.EndRegion()

		return gomatrixserverlib.ResolveStateConflictsV2(
			conflictedEvents,
			nonConflictedEvents,
			authEvents,
		)
	}()

	// Map from the full events back to numeric state entries.
	for _, resolvedEvent := range resolvedEvents {
		entry, ok := eventIDMap[resolvedEvent.EventID()]
		if !ok {
			return nil, fmt.Errorf("missing state entry for event ID %q", resolvedEvent.EventID())
		}
		notConflicted = append(notConflicted, entry)
	}

	// Sort the result so it can be searched.
	sort.Sort(stateEntrySorter(notConflicted))
	return notConflicted, nil
}

// stateKeyTuplesNeeded works out which numeric state key tuples we need to authenticate some events.
func (v *StateResolution) stateKeyTuplesNeeded(stateKeyNIDMap map[string]types.EventStateKeyNID, stateNeeded gomatrixserverlib.StateNeeded) []types.StateKeyTuple {
	var keyTuples []types.StateKeyTuple
	if stateNeeded.Create {
		keyTuples = append(keyTuples, types.StateKeyTuple{
			EventTypeNID:     types.MRoomCreateNID,
			EventStateKeyNID: types.EmptyStateKeyNID,
		})
	}
	if stateNeeded.PowerLevels {
		keyTuples = append(keyTuples, types.StateKeyTuple{
			EventTypeNID:     types.MRoomPowerLevelsNID,
			EventStateKeyNID: types.EmptyStateKeyNID,
		})
	}
	if stateNeeded.JoinRules {
		keyTuples = append(keyTuples, types.StateKeyTuple{
			EventTypeNID:     types.MRoomJoinRulesNID,
			EventStateKeyNID: types.EmptyStateKeyNID,
		})
	}
	for _, member := range stateNeeded.Member {
		stateKeyNID, ok := stateKeyNIDMap[member]
		if ok {
			keyTuples = append(keyTuples, types.StateKeyTuple{
				EventTypeNID:     types.MRoomMemberNID,
				EventStateKeyNID: stateKeyNID,
			})
		}
	}
	for _, token := range stateNeeded.ThirdPartyInvite {
		stateKeyNID, ok := stateKeyNIDMap[token]
		if ok {
			keyTuples = append(keyTuples, types.StateKeyTuple{
				EventTypeNID:     types.MRoomThirdPartyInviteNID,
				EventStateKeyNID: stateKeyNID,
			})
		}
	}
	return keyTuples
}

// loadStateEvents loads the matrix events for a list of state entries.
// Returns a list of state events in no particular order and a map from string event ID back to state entry.
// The map can be used to recover which numeric state entry a given event is for.
// Returns an error if there was a problem talking to the database.
func (v *StateResolution) loadStateEvents(
	ctx context.Context, entries []types.StateEntry,
) ([]gomatrixserverlib.PDU, map[string]types.StateEntry, error) {
	trace, ctx := internal.StartRegion(ctx, "StateResolution.loadStateEvents")
	defer trace.EndRegion()

	result := make([]gomatrixserverlib.PDU, 0, len(entries))
	eventEntries := make([]types.StateEntry, 0, len(entries))
	eventNIDs := make(types.EventNIDs, 0, len(entries))
	for _, entry := range entries {
		if e, ok := v.events[entry.EventNID]; ok {
			result = append(result, e)
		} else {
			eventEntries = append(eventEntries, entry)
			eventNIDs = append(eventNIDs, entry.EventNID)
		}
	}

	if v.roomInfo == nil {
		return nil, nil, types.ErrorInvalidRoomInfo
	}
	events, err := v.db.Events(ctx, v.roomInfo.RoomVersion, eventNIDs)
	if err != nil {
		return nil, nil, err
	}
	eventIDMap := map[string]types.StateEntry{}
	for _, entry := range eventEntries {
		event, ok := eventMap(events).lookup(entry.EventNID)
		if !ok {
			panic(fmt.Errorf("corrupt DB: Missing event numeric ID %d", entry.EventNID))
		}
		result = append(result, event.PDU)
		eventIDMap[event.PDU.EventID()] = entry
		v.events[entry.EventNID] = event.PDU
	}
	return result, eventIDMap, nil
}

type authEventLoader struct {
	sync.Mutex
	v              *StateResolution
	lookupFromDB   []string      // scratch space
	lookupFromMem  []string      // scratch space
	lookedUpEvents []types.Event // scratch space
	eventMap       map[string]types.Event
}

// loadAuthEvents loads all of the auth events for a given event recursively,
// along with a map that contains state entries for all of the auth events.
func (l *authEventLoader) loadAuthEvents(
	ctx context.Context, roomInfo *types.RoomInfo, event gomatrixserverlib.PDU, eventMap map[string]types.Event,
) ([]gomatrixserverlib.PDU, map[string]types.StateEntry, error) {
	l.Lock()
	defer l.Unlock()
	authEvents := []types.Event{}     // our returned list
	included := map[string]struct{}{} // dedupes authEvents above
	queue := event.AuthEventIDs()
	for i := 0; i < len(queue); i++ {
		// Reuse the same underlying memory, since it reduces the
		// amount of allocations we make the more times we call
		// loadAuthEvents.
		l.lookupFromDB = l.lookupFromDB[:0]
		l.lookupFromMem = l.lookupFromMem[:0]
		l.lookedUpEvents = l.lookedUpEvents[:0]

		// Separate out the list of events in the queue based on if
		// we think we already know the event in memory or not.
		for _, authEventID := range queue {
			if _, ok := included[authEventID]; ok {
				continue
			}
			if _, ok := eventMap[authEventID]; ok {
				l.lookupFromMem = append(l.lookupFromMem, authEventID)
			} else {
				l.lookupFromDB = append(l.lookupFromDB, authEventID)
			}
		}
		// If there's nothing to do, stop here.
		if len(l.lookupFromDB) == 0 && len(l.lookupFromMem) == 0 {
			break
		}

		// If we need to get events from the database, go and fetch
		// those now.
		if len(l.lookupFromDB) > 0 {
			eventsFromDB, err := l.v.db.EventsFromIDs(ctx, roomInfo, l.lookupFromDB)
			if err != nil {
				return nil, nil, fmt.Errorf("v.db.EventsFromIDs: %w", err)
			}
			l.lookedUpEvents = append(l.lookedUpEvents, eventsFromDB...)
			for _, event := range eventsFromDB {
				eventMap[event.EventID()] = event
			}
		}

		// Fill in the gaps with events that we already have in memory.
		if len(l.lookupFromMem) > 0 {
			for _, eventID := range l.lookupFromMem {
				l.lookedUpEvents = append(l.lookedUpEvents, eventMap[eventID])
			}
		}

		// From the events that we've retrieved, work out which auth
		// events to look up on the next iteration.
		add := map[string]struct{}{}
		for _, event := range l.lookedUpEvents {
			authEvents = append(authEvents, event)
			included[event.EventID()] = struct{}{}

			for _, authEventID := range event.AuthEventIDs() {
				if _, ok := included[authEventID]; ok {
					continue
				}
				add[authEventID] = struct{}{}
			}
		}
		for authEventID := range add {
			queue = append(queue, authEventID)
		}
	}
	authEventTypes := map[string]struct{}{}
	authEventStateKeys := map[string]struct{}{}
	for _, authEvent := range authEvents {
		authEventTypes[authEvent.Type()] = struct{}{}
		authEventStateKeys[*authEvent.StateKey()] = struct{}{}
	}
	lookupAuthEventTypes := make([]string, 0, len(authEventTypes))
	lookupAuthEventStateKeys := make([]string, 0, len(authEventStateKeys))
	for eventType := range authEventTypes {
		lookupAuthEventTypes = append(lookupAuthEventTypes, eventType)
	}
	for eventStateKey := range authEventStateKeys {
		lookupAuthEventStateKeys = append(lookupAuthEventStateKeys, eventStateKey)
	}
	eventTypes, err := l.v.db.EventTypeNIDs(ctx, lookupAuthEventTypes)
	if err != nil {
		return nil, nil, fmt.Errorf("v.db.EventTypeNIDs: %w", err)
	}
	eventStateKeys, err := l.v.db.EventStateKeyNIDs(ctx, lookupAuthEventStateKeys)
	if err != nil {
		return nil, nil, fmt.Errorf("v.db.EventStateKeyNIDs: %w", err)
	}
	stateEntryMap := map[string]types.StateEntry{}
	for _, authEvent := range authEvents {
		stateEntryMap[authEvent.EventID()] = types.StateEntry{
			EventNID: authEvent.EventNID,
			StateKeyTuple: types.StateKeyTuple{
				EventTypeNID:     eventTypes[authEvent.Type()],
				EventStateKeyNID: eventStateKeys[*authEvent.StateKey()],
			},
		}
	}
	nakedEvents := make([]gomatrixserverlib.PDU, 0, len(authEvents))
	for _, authEvent := range authEvents {
		nakedEvents = append(nakedEvents, authEvent.PDU)
	}
	return nakedEvents, stateEntryMap, nil
}

// findDuplicateStateKeys finds the state entries where the state key tuple appears more than once in a sorted list.
// Returns a sorted list of those state entries.
func findDuplicateStateKeys(a []types.StateEntry) []types.StateEntry {
	var result []types.StateEntry
	// j is the starting index of a block of entries with the same state key tuple.
	j := 0
	for i := 1; i < len(a); i++ {
		// Check if the state key tuple matches the start of the block
		if a[j].StateKeyTuple != a[i].StateKeyTuple {
			// If the state key tuple is different then we've reached the end of a block of duplicates.
			// Check if the size of the block is bigger than one.
			// If the size is one then there was only a single entry with that state key tuple so we don't add it to the result
			if j+1 != i {
				// Add the block to the result.
				result = append(result, a[j:i]...)
			}
			// Start a new block for the next state key tuple.
			j = i
		}
	}
	// Check if the last block with the same state key tuple had more than one event in it.
	if j+1 != len(a) {
		result = append(result, a[j:]...)
	}
	return result
}

type stateEntrySorter []types.StateEntry

func (s stateEntrySorter) Len() int           { return len(s) }
func (s stateEntrySorter) Less(i, j int) bool { return s[i].LessThan(s[j]) }
func (s stateEntrySorter) Swap(i, j int)      { s[i], s[j] = s[j], s[i] }

type stateBlockNIDListMap []types.StateBlockNIDList

func (m stateBlockNIDListMap) lookup(stateNID types.StateSnapshotNID) (stateBlockNIDs []types.StateBlockNID, ok bool) {
	list := []types.StateBlockNIDList(m)
	i := sort.Search(len(list), func(i int) bool {
		return list[i].StateSnapshotNID >= stateNID
	})
	if i < len(list) && list[i].StateSnapshotNID == stateNID {
		ok = true
		stateBlockNIDs = list[i].StateBlockNIDs
	}
	return
}

type stateEntryListMap []types.StateEntryList

func (m stateEntryListMap) lookup(stateBlockNID types.StateBlockNID) (stateEntries []types.StateEntry, ok bool) {
	list := []types.StateEntryList(m)
	i := sort.Search(len(list), func(i int) bool {
		return list[i].StateBlockNID >= stateBlockNID
	})
	if i < len(list) && list[i].StateBlockNID == stateBlockNID {
		ok = true
		stateEntries = list[i].StateEntries
	}
	return
}

type stateEntryByStateKeySorter []types.StateEntry

func (s stateEntryByStateKeySorter) Len() int { return len(s) }
func (s stateEntryByStateKeySorter) Less(i, j int) bool {
	return s[i].StateKeyTuple.LessThan(s[j].StateKeyTuple)
}
func (s stateEntryByStateKeySorter) Swap(i, j int) { s[i], s[j] = s[j], s[i] }

type stateNIDSorter []types.StateSnapshotNID

func (s stateNIDSorter) Len() int           { return len(s) }
func (s stateNIDSorter) Less(i, j int) bool { return s[i] < s[j] }
func (s stateNIDSorter) Swap(i, j int)      { s[i], s[j] = s[j], s[i] }

func UniqueStateSnapshotNIDs(nids []types.StateSnapshotNID) []types.StateSnapshotNID {
	return nids[:util.SortAndUnique(stateNIDSorter(nids))]
}

type stateBlockNIDSorter []types.StateBlockNID

func (s stateBlockNIDSorter) Len() int           { return len(s) }
func (s stateBlockNIDSorter) Less(i, j int) bool { return s[i] < s[j] }
func (s stateBlockNIDSorter) Swap(i, j int)      { s[i], s[j] = s[j], s[i] }

func uniqueStateBlockNIDs(nids []types.StateBlockNID) []types.StateBlockNID {
	return nids[:util.SortAndUnique(stateBlockNIDSorter(nids))]
}

// Map from event type, state key tuple to numeric event ID.
// Implemented using binary search on a sorted array.
type stateEntryMap []types.StateEntry

// lookup an entry in the event map.
func (m stateEntryMap) lookup(stateKey types.StateKeyTuple) (eventNID types.EventNID, ok bool) {
	// Since the list is sorted we can implement this using binary search.
	// This is faster than using a hash map.
	// We don't have to worry about pathological cases because the keys are fixed
	// size and are controlled by us.
	list := []types.StateEntry(m)
	i := sort.Search(len(list), func(i int) bool {
		return !list[i].StateKeyTuple.LessThan(stateKey)
	})
	if i < len(list) && list[i].StateKeyTuple == stateKey {
		ok = true
		eventNID = list[i].EventNID
	}
	return
}

// Map from numeric event ID to event.
// Implemented using binary search on a sorted array.
type eventMap []types.Event

// lookup an entry in the event map.
func (m eventMap) lookup(eventNID types.EventNID) (event *types.Event, ok bool) {
	// Since the list is sorted we can implement this using binary search.
	// This is faster than using a hash map.
	// We don't have to worry about pathological cases because the keys are fixed
	// size are controlled by us.
	list := []types.Event(m)
	i := sort.Search(len(list), func(i int) bool {
		return list[i].EventNID >= eventNID
	})
	if i < len(list) && list[i].EventNID == eventNID {
		ok = true
		event = &list[i]
	}
	return
}