14700127904

Committed 28 Apr 2025 04:15AM UTC coverage: 58.586% (-0.003%) from 58.589%

Build # 14700127904

Build Type

Pull #9127

github

Committed by

web-flow

Commit Message

Merge b6ad5f261 into 7e50b8438

Pull Request Pull Request #9127: Add the option on path creator to specify the incoming channel on blinded path

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60.28

/routing/router.go

package routing

import (
        "context"
        "fmt"
        "math"
        "math/big"
        "sort"
        "sync"
        "sync/atomic"
        "time"

        "github.com/btcsuite/btcd/btcec/v2"
        "github.com/btcsuite/btcd/btcutil"
        "github.com/davecgh/go-spew/spew"
        "github.com/go-errors/errors"
        "github.com/lightningnetwork/lnd/amp"
        "github.com/lightningnetwork/lnd/channeldb"
        "github.com/lightningnetwork/lnd/clock"
        "github.com/lightningnetwork/lnd/fn/v2"
        "github.com/lightningnetwork/lnd/graph/db/models"
        "github.com/lightningnetwork/lnd/htlcswitch"
        "github.com/lightningnetwork/lnd/lntypes"
        "github.com/lightningnetwork/lnd/lnutils"
        "github.com/lightningnetwork/lnd/lnwallet"
        "github.com/lightningnetwork/lnd/lnwire"
        "github.com/lightningnetwork/lnd/record"
        "github.com/lightningnetwork/lnd/routing/route"
        "github.com/lightningnetwork/lnd/routing/shards"
        "github.com/lightningnetwork/lnd/tlv"
        "github.com/lightningnetwork/lnd/zpay32"
)

const (
        // DefaultPayAttemptTimeout is the default payment attempt timeout. The
        // payment attempt timeout defines the duration after which we stop
        // trying more routes for a payment.
        DefaultPayAttemptTimeout = time.Second * 60

        // MinCLTVDelta is the minimum CLTV value accepted by LND for all
        // timelock deltas. This includes both forwarding CLTV deltas set on
        // channel updates, as well as final CLTV deltas used to create BOLT 11
        // payment requests.
        //
        // NOTE: For payment requests, BOLT 11 stipulates that a final CLTV
        // delta of 9 should be used when no value is decoded. This however
        // leads to inflexibility in upgrading this default parameter, since it
        // can create inconsistencies around the assumed value between sender
        // and receiver. Specifically, if the receiver assumes a higher value
        // than the sender, the receiver will always see the received HTLCs as
        // invalid due to their timelock not meeting the required delta.
        //
        // We skirt this by always setting an explicit CLTV delta when creating
        // invoices. This allows LND nodes to freely update the minimum without
        // creating incompatibilities during the upgrade process. For some time
        // LND has used an explicit default final CLTV delta of 40 blocks for
        // bitcoin, though we now clamp the lower end of this
        // range for user-chosen deltas to 18 blocks to be conservative.
        MinCLTVDelta = 18

        // MaxCLTVDelta is the maximum CLTV value accepted by LND for all
        // timelock deltas.
        MaxCLTVDelta = math.MaxUint16
)

var (
        // ErrRouterShuttingDown is returned if the router is in the process of
        // shutting down.
        ErrRouterShuttingDown = fmt.Errorf("router shutting down")

        // ErrSelfIntro is a failure returned when the source node of a
        // route request is also the introduction node. This is not yet
        // supported because LND does not support blinded forwardingg.
        ErrSelfIntro = errors.New("introduction point as own node not " +
                "supported")

        // ErrHintsAndBlinded is returned if a route request has both
        // bolt 11 route hints and a blinded path set.
        ErrHintsAndBlinded = errors.New("bolt 11 route hints and blinded " +
                "paths are mutually exclusive")

        // ErrExpiryAndBlinded is returned if a final cltv and a blinded path
        // are provided, as the cltv should be provided within the blinded
        // path.
        ErrExpiryAndBlinded = errors.New("final cltv delta and blinded " +
                "paths are mutually exclusive")

        // ErrTargetAndBlinded is returned is a target destination and a
        // blinded path are both set (as the target is inferred from the
        // blinded path).
        ErrTargetAndBlinded = errors.New("target node and blinded paths " +
                "are mutually exclusive")

        // ErrNoTarget is returned when the target node for a route is not
        // provided by either a blinded route or a cleartext pubkey.
        ErrNoTarget = errors.New("destination not set in target or blinded " +
                "path")

        // ErrSkipTempErr is returned when a non-MPP is made yet the
        // skipTempErr flag is set.
        ErrSkipTempErr = errors.New("cannot skip temp error for non-MPP")
)

// PaymentAttemptDispatcher is used by the router to send payment attempts onto
// the network, and receive their results.
type PaymentAttemptDispatcher interface {
        // SendHTLC is a function that directs a link-layer switch to
        // forward a fully encoded payment to the first hop in the route
        // denoted by its public key. A non-nil error is to be returned if the
        // payment was unsuccessful.
        SendHTLC(firstHop lnwire.ShortChannelID,
                attemptID uint64,
                htlcAdd *lnwire.UpdateAddHTLC) error

        // GetAttemptResult returns the result of the payment attempt with
        // the given attemptID. The paymentHash should be set to the payment's
        // overall hash, or in case of AMP payments the payment's unique
        // identifier.
        //
        // The method returns a channel where the payment result will be sent
        // when available, or an error is encountered during forwarding. When a
        // result is received on the channel, the HTLC is guaranteed to no
        // longer be in flight.  The switch shutting down is signaled by
        // closing the channel. If the attemptID is unknown,
        // ErrPaymentIDNotFound will be returned.
        GetAttemptResult(attemptID uint64, paymentHash lntypes.Hash,
                deobfuscator htlcswitch.ErrorDecrypter) (
                <-chan *htlcswitch.PaymentResult, error)

        // CleanStore calls the underlying result store, telling it is safe to
        // delete all entries except the ones in the keepPids map. This should
        // be called periodically to let the switch clean up payment results
        // that we have handled.
        // NOTE: New payment attempts MUST NOT be made after the keepPids map
        // has been created and this method has returned.
        CleanStore(keepPids map[uint64]struct{}) error

        // HasAttemptResult reads the network result store to fetch the
        // specified attempt. Returns true if the attempt result exists.
        //
        // NOTE: This method is used and should only be used by the router to
        // resume payments during startup. It can be viewed as a subset of
        // `GetAttemptResult` in terms of its functionality, and can be removed
        // once we move the construction of `UpdateAddHTLC` and
        // `ErrorDecrypter` into `htlcswitch`.
        HasAttemptResult(attemptID uint64) (bool, error)
}

// PaymentSessionSource is an interface that defines a source for the router to
// retrieve new payment sessions.
type PaymentSessionSource interface {
        // NewPaymentSession creates a new payment session that will produce
        // routes to the given target. An optional set of routing hints can be
        // provided in order to populate additional edges to explore when
        // finding a path to the payment's destination.
        NewPaymentSession(p *LightningPayment,
                firstHopBlob fn.Option[tlv.Blob],
                ts fn.Option[htlcswitch.AuxTrafficShaper]) (PaymentSession,
                error)

        // NewPaymentSessionEmpty creates a new paymentSession instance that is
        // empty, and will be exhausted immediately. Used for failure reporting
        // to missioncontrol for resumed payment we don't want to make more
        // attempts for.
        NewPaymentSessionEmpty() PaymentSession
}

// MissionControlQuerier is an interface that exposes failure reporting and
// probability estimation.
type MissionControlQuerier interface {
        // ReportPaymentFail reports a failed payment to mission control as
        // input for future probability estimates. It returns a bool indicating
        // whether this error is a final error and no further payment attempts
        // need to be made.
        ReportPaymentFail(attemptID uint64, rt *route.Route,
                failureSourceIdx *int, failure lnwire.FailureMessage) (
                *channeldb.FailureReason, error)

        // ReportPaymentSuccess reports a successful payment to mission control
        // as input for future probability estimates.
        ReportPaymentSuccess(attemptID uint64, rt *route.Route) error

        // GetProbability is expected to return the success probability of a
        // payment from fromNode along edge.
        GetProbability(fromNode, toNode route.Vertex,
                amt lnwire.MilliSatoshi, capacity btcutil.Amount) float64
}

// FeeSchema is the set fee configuration for a Lightning Node on the network.
// Using the coefficients described within the schema, the required fee to
// forward outgoing payments can be derived.
type FeeSchema struct {
        // BaseFee is the base amount of milli-satoshis that will be chained
        // for ANY payment forwarded.
        BaseFee lnwire.MilliSatoshi

        // FeeRate is the rate that will be charged for forwarding payments.
        // This value should be interpreted as the numerator for a fraction
        // (fixed point arithmetic) whose denominator is 1 million. As a result
        // the effective fee rate charged per mSAT will be: (amount *
        // FeeRate/1,000,000).
        FeeRate uint32

        // InboundFee is the inbound fee schedule that applies to forwards
        // coming in through a channel to which this FeeSchema pertains.
        InboundFee fn.Option[models.InboundFee]
}

// ChannelPolicy holds the parameters that determine the policy we enforce
// when forwarding payments on a channel. These parameters are communicated
// to the rest of the network in ChannelUpdate messages.
type ChannelPolicy struct {
        // FeeSchema holds the fee configuration for a channel.
        FeeSchema

        // TimeLockDelta is the required HTLC timelock delta to be used
        // when forwarding payments.
        TimeLockDelta uint32

        // MaxHTLC is the maximum HTLC size including fees we are allowed to
        // forward over this channel.
        MaxHTLC lnwire.MilliSatoshi

        // MinHTLC is the minimum HTLC size including fees we are allowed to
        // forward over this channel.
        MinHTLC *lnwire.MilliSatoshi
}

// Config defines the configuration for the ChannelRouter. ALL elements within
// the configuration MUST be non-nil for the ChannelRouter to carry out its
// duties.
type Config struct {
        // SelfNode is the public key of the node that this channel router
        // belongs to.
        SelfNode route.Vertex

        // RoutingGraph is a graph source that will be used for pathfinding.
        RoutingGraph Graph

        // Chain is the router's source to the most up-to-date blockchain data.
        // All incoming advertised channels will be checked against the chain
        // to ensure that the channels advertised are still open.
        Chain lnwallet.BlockChainIO

        // Payer is an instance of a PaymentAttemptDispatcher and is used by
        // the router to send payment attempts onto the network, and receive
        // their results.
        Payer PaymentAttemptDispatcher

        // Control keeps track of the status of ongoing payments, ensuring we
        // can properly resume them across restarts.
        Control ControlTower

        // MissionControl is a shared memory of sorts that executions of
        // payment path finding use in order to remember which vertexes/edges
        // were pruned from prior attempts. During SendPayment execution,
        // errors sent by nodes are mapped into a vertex or edge to be pruned.
        // Each run will then take into account this set of pruned
        // vertexes/edges to reduce route failure and pass on graph information
        // gained to the next execution.
        MissionControl MissionControlQuerier

        // SessionSource defines a source for the router to retrieve new payment
        // sessions.
        SessionSource PaymentSessionSource

        // GetLink is a method that allows the router to query the lower link
        // layer to determine the up-to-date available bandwidth at a
        // prospective link to be traversed. If the link isn't available, then
        // a value of zero should be returned. Otherwise, the current up-to-
        // date knowledge of the available bandwidth of the link should be
        // returned.
        GetLink getLinkQuery

        // NextPaymentID is a method that guarantees to return a new, unique ID
        // each time it is called. This is used by the router to generate a
        // unique payment ID for each payment it attempts to send, such that
        // the switch can properly handle the HTLC.
        NextPaymentID func() (uint64, error)

        // PathFindingConfig defines global path finding parameters.
        PathFindingConfig PathFindingConfig

        // Clock is mockable time provider.
        Clock clock.Clock

        // ApplyChannelUpdate can be called to apply a new channel update to the
        // graph that we received from a payment failure.
        ApplyChannelUpdate func(msg *lnwire.ChannelUpdate1) bool

        // ClosedSCIDs is used by the router to fetch closed channels.
        //
        // TODO(yy): remove it once the root cause of stuck payments is found.
        ClosedSCIDs map[lnwire.ShortChannelID]struct{}

        // TrafficShaper is an optional traffic shaper that can be used to
        // control the outgoing channel of a payment.
        TrafficShaper fn.Option[htlcswitch.AuxTrafficShaper]
}

// EdgeLocator is a struct used to identify a specific edge.
type EdgeLocator struct {
        // ChannelID is the channel of this edge.
        ChannelID uint64

        // Direction takes the value of 0 or 1 and is identical in definition to
        // the channel direction flag. A value of 0 means the direction from the
        // lower node pubkey to the higher.
        Direction uint8
}

// String returns a human-readable version of the edgeLocator values.
func (e *EdgeLocator) String() string {
        return fmt.Sprintf("%v:%v", e.ChannelID, e.Direction)
}

// ChannelRouter is the layer 3 router within the Lightning stack. Below the
// ChannelRouter is the HtlcSwitch, and below that is the Bitcoin blockchain
// itself. The primary role of the ChannelRouter is to respond to queries for
// potential routes that can support a payment amount, and also general graph
// reachability questions. The router will prune the channel graph
// automatically as new blocks are discovered which spend certain known funding
// outpoints, thereby closing their respective channels.
type ChannelRouter struct {
        started uint32 // To be used atomically.
        stopped uint32 // To be used atomically.

        // cfg is a copy of the configuration struct that the ChannelRouter was
        // initialized with.
        cfg *Config

        quit chan struct{}
        wg   sync.WaitGroup
}

// New creates a new instance of the ChannelRouter with the specified
// configuration parameters. As part of initialization, if the router detects
// that the channel graph isn't fully in sync with the latest UTXO (since the
// channel graph is a subset of the UTXO set) set, then the router will proceed
// to fully sync to the latest state of the UTXO set.
func New(cfg Config) (*ChannelRouter, error) {
        return &ChannelRouter{
                cfg:  &cfg,
                quit: make(chan struct{}),
        }, nil
}

// Start launches all the goroutines the ChannelRouter requires to carry out
// its duties. If the router has already been started, then this method is a
// noop.
func (r *ChannelRouter) Start() error {
        if !atomic.CompareAndSwapUint32(&r.started, 0, 1) {
                return nil
        }

        log.Info("Channel Router starting")

        // If any payments are still in flight, we resume, to make sure their
        // results are properly handled.
        if err := r.resumePayments(); err != nil {
                log.Error("Failed to resume payments during startup")
        }

        return nil
}

// Stop signals the ChannelRouter to gracefully halt all routines. This method
// will *block* until all goroutines have excited. If the channel router has
// already stopped then this method will return immediately.
func (r *ChannelRouter) Stop() error {
        if !atomic.CompareAndSwapUint32(&r.stopped, 0, 1) {
                return nil
        }

        log.Info("Channel Router shutting down...")
        defer log.Debug("Channel Router shutdown complete")

        close(r.quit)
        r.wg.Wait()

        return nil
}

// RouteRequest contains the parameters for a pathfinding request. It may
// describe a request to make a regular payment or one to a blinded path
// (incdicated by a non-nil BlindedPayment field).
type RouteRequest struct {
        // Source is the node that the path originates from.
        Source route.Vertex

        // Target is the node that the path terminates at. If the route
        // includes a blinded path, target will be the blinded node id of the
        // final hop in the blinded route.
        Target route.Vertex

        // Amount is the Amount in millisatoshis to be delivered to the target
        // node.
        Amount lnwire.MilliSatoshi

        // TimePreference expresses the caller's time preference for
        // pathfinding.
        TimePreference float64

        // Restrictions provides a set of additional Restrictions that the
        // route must adhere to.
        Restrictions *RestrictParams

        // CustomRecords is a set of custom tlv records to include for the
        // final hop.
        CustomRecords record.CustomSet

        // RouteHints contains an additional set of edges to include in our
        // view of the graph. This may either be a set of hints for private
        // channels or a "virtual" hop hint that represents a blinded route.
        RouteHints RouteHints

        // FinalExpiry is the cltv delta for the final hop. If paying to a
        // blinded path, this value is a duplicate of the delta provided
        // in blinded payment.
        FinalExpiry uint16

        // BlindedPathSet contains a set of optional blinded paths and
        // parameters used to reach a target node blinded paths. This field is
        // mutually exclusive with the Target field.
        BlindedPathSet *BlindedPaymentPathSet
}

// RouteHints is an alias type for a set of route hints, with the source node
// as the map's key and the details of the hint(s) in the edge policy.
type RouteHints map[route.Vertex][]AdditionalEdge

// NewRouteRequest produces a new route request for a regular payment or one
// to a blinded route, validating that the target, routeHints and finalExpiry
// parameters are mutually exclusive with the blindedPayment parameter (which
// contains these values for blinded payments).
func NewRouteRequest(source route.Vertex, target *route.Vertex,
        amount lnwire.MilliSatoshi, timePref float64,
        restrictions *RestrictParams, customRecords record.CustomSet,
        routeHints RouteHints, blindedPathSet *BlindedPaymentPathSet,
        finalExpiry uint16) (*RouteRequest, error) {

        var (
                // Assume that we're starting off with a regular payment.
                requestHints  = routeHints
                requestExpiry = finalExpiry
                err           error
        )

        if blindedPathSet != nil {
                if blindedPathSet.IsIntroNode(source) {
                        return nil, ErrSelfIntro
                }

                // Check that the values for a clear path have not been set,
                // as this is an ambiguous signal from the caller.
                if routeHints != nil {
                        return nil, ErrHintsAndBlinded
                }

                if finalExpiry != 0 {
                        return nil, ErrExpiryAndBlinded
                }

                requestExpiry = blindedPathSet.FinalCLTVDelta()

                requestHints, err = blindedPathSet.ToRouteHints()
                if err != nil {
                        return nil, err
                }
        }

        requestTarget, err := getTargetNode(target, blindedPathSet)
        if err != nil {
                return nil, err
        }

        return &RouteRequest{
                Source:         source,
                Target:         requestTarget,
                Amount:         amount,
                TimePreference: timePref,
                Restrictions:   restrictions,
                CustomRecords:  customRecords,
                RouteHints:     requestHints,
                FinalExpiry:    requestExpiry,
                BlindedPathSet: blindedPathSet,
        }, nil
}

func getTargetNode(target *route.Vertex,
        blindedPathSet *BlindedPaymentPathSet) (route.Vertex, error) {

        var (
                blinded   = blindedPathSet != nil
                targetSet = target != nil
        )

        switch {
        case blinded && targetSet:
                return route.Vertex{}, ErrTargetAndBlinded

        case blinded:
                return route.NewVertex(blindedPathSet.TargetPubKey()), nil

        case targetSet:
                return *target, nil

        default:
                return route.Vertex{}, ErrNoTarget
        }
}

// FindRoute attempts to query the ChannelRouter for the optimum path to a
// particular target destination to which it is able to send `amt` after
// factoring in channel capacities and cumulative fees along the route.
func (r *ChannelRouter) FindRoute(req *RouteRequest) (*route.Route, float64,
        error) {

        log.Debugf("Searching for path to %v, sending %v", req.Target,
                req.Amount)

        // We'll attempt to obtain a set of bandwidth hints that can help us
        // eliminate certain routes early on in the path finding process.
        bandwidthHints, err := newBandwidthManager(
                r.cfg.RoutingGraph, r.cfg.SelfNode, r.cfg.GetLink,
                fn.None[tlv.Blob](), r.cfg.TrafficShaper,
        )
        if err != nil {
                return nil, 0, err
        }

        // We'll fetch the current block height, so we can properly calculate
        // the required HTLC time locks within the route.
        _, currentHeight, err := r.cfg.Chain.GetBestBlock()
        if err != nil {
                return nil, 0, err
        }

        // Now that we know the destination is reachable within the graph, we'll
        // execute our path finding algorithm.
        finalHtlcExpiry := currentHeight + int32(req.FinalExpiry)

        // Validate time preference.
        timePref := req.TimePreference
        if timePref < -1 || timePref > 1 {
                return nil, 0, errors.New("time preference out of range")
        }

        path, probability, err := findPath(
                &graphParams{
                        additionalEdges: req.RouteHints,
                        bandwidthHints:  bandwidthHints,
                        graph:           r.cfg.RoutingGraph,
                },
                req.Restrictions, &r.cfg.PathFindingConfig,
                r.cfg.SelfNode, req.Source, req.Target, req.Amount,
                req.TimePreference, finalHtlcExpiry,
        )
        if err != nil {
                return nil, 0, err
        }

        // Create the route with absolute time lock values.
        route, err := newRoute(
                req.Source, path, uint32(currentHeight),
                finalHopParams{
                        amt:       req.Amount,
                        totalAmt:  req.Amount,
                        cltvDelta: req.FinalExpiry,
                        records:   req.CustomRecords,
                }, req.BlindedPathSet,
        )
        if err != nil {
                return nil, 0, err
        }

        go log.Tracef("Obtained path to send %v to %x: %v",
                req.Amount, req.Target, lnutils.SpewLogClosure(route))

        return route, probability, nil
}

// probabilitySource defines the signature of a function that can be used to
// query the success probability of sending a given amount between the two
// given vertices.
type probabilitySource func(route.Vertex, route.Vertex, lnwire.MilliSatoshi,
        btcutil.Amount) float64

// BlindedPathRestrictions are a set of constraints to adhere to when
// choosing a set of blinded paths to this node.
type BlindedPathRestrictions struct {
        // MinDistanceFromIntroNode is the minimum number of _real_ (non-dummy)
        // hops to include in a blinded path. Since we post-fix dummy hops, this
        // is the minimum distance between our node and the introduction node
        // of the path. This doesn't include our node, so if the minimum is 1,
        // then the path will contain at minimum our node along with an
        // introduction node hop.
        MinDistanceFromIntroNode uint8

        // NumHops is the number of hops that each blinded path should consist
        // of. If paths are found with a number of hops less that NumHops, then
        // dummy hops will be padded on to the route. This value doesn't
        // include our node, so if the maximum is 1, then the path will contain
        // our node along with an introduction node hop.
        NumHops uint8

        // MaxNumPaths is the maximum number of blinded paths to select.
        MaxNumPaths uint8

        // NodeOmissionSet is a set of nodes that should not be used within any
        // of the blinded paths that we generate.
        NodeOmissionSet fn.Set[route.Vertex]

        // IncomingChainedChannels holds the chained channels list (specified
        // via channel id) starting from a channel which points to the receiver
        // node.
        IncomingChainedChannels []uint64
}

// FindBlindedPaths finds a selection of paths to the destination node that can
// be used in blinded payment paths.
func (r *ChannelRouter) FindBlindedPaths(destination route.Vertex,
        amt lnwire.MilliSatoshi, probabilitySrc probabilitySource,
        restrictions *BlindedPathRestrictions) ([]*route.Route, error) {

        // First, find a set of candidate paths given the destination node and
        // path length restrictions.
        incomingChainedChannels := restrictions.IncomingChainedChannels
        minDistanceFromIntroNode := restrictions.MinDistanceFromIntroNode
        paths, err := findBlindedPaths(
                r.cfg.RoutingGraph, destination, &blindedPathRestrictions{
                        minNumHops:              minDistanceFromIntroNode,
                        maxNumHops:              restrictions.NumHops,
                        nodeOmissionSet:         restrictions.NodeOmissionSet,
                        incomingChainedChannels: incomingChainedChannels,
                })
        if err != nil {
                return nil, err
        }

        // routeWithProbability groups a route with the probability of a
        // payment of the given amount succeeding on that path.
        type routeWithProbability struct {
                route       *route.Route
                probability float64
        }

        // Iterate over all the candidate paths and determine the success
        // probability of each path given the data we have about forwards
        // between any two nodes on a path.
        routes := make([]*routeWithProbability, 0, len(paths))
        for _, path := range paths {
                if len(path) < 1 {
                        return nil, fmt.Errorf("a blinded path must have at " +
                                "least one hop")
                }

                var (
                        introNode = path[0].vertex
                        prevNode  = introNode
                        hops      = make(
                                []*route.Hop, 0, len(path)-1,
                        )
                        totalRouteProbability = float64(1)
                )

                // For each set of hops on the path, get the success probability
                // of a forward between those two vertices and use that to
                // update the overall route probability.
                for j := 1; j < len(path); j++ {
                        probability := probabilitySrc(
                                prevNode, path[j].vertex, amt,
                                path[j-1].edgeCapacity,
                        )

                        totalRouteProbability *= probability

                        hops = append(hops, &route.Hop{
                                PubKeyBytes: path[j].vertex,
                                ChannelID:   path[j-1].channelID,
                        })

                        prevNode = path[j].vertex
                }

                routeWithProbability := &routeWithProbability{
                        route: &route.Route{
                                SourcePubKey: introNode,
                                Hops:         hops,
                        },
                        probability: totalRouteProbability,
                }

                // Don't bother adding a route if its success probability less
                // minimum that can be assigned to any single pair.
                if totalRouteProbability <= DefaultMinRouteProbability {
                        log.Debugf("Not using route (%v) as a blinded "+
                                "path since it resulted in an low "+
                                "probability path(%.3f)",
                                route.ChanIDString(routeWithProbability.route),
                                routeWithProbability.probability,
                        )
                        continue
                }

                routes = append(routes, routeWithProbability)
        }

        // Sort the routes based on probability.
        sort.Slice(routes, func(i, j int) bool {
                return routes[i].probability > routes[j].probability
        })

        // Now just choose the best paths up until the maximum number of allowed
        // paths.
        bestRoutes := make([]*route.Route, 0, restrictions.MaxNumPaths)
        for _, route := range routes {
                if len(bestRoutes) >= int(restrictions.MaxNumPaths) {
                        break
                }

                bestRoutes = append(bestRoutes, route.route)
        }

        return bestRoutes, nil
}

// generateNewSessionKey generates a new ephemeral private key to be used for a
// payment attempt.
func generateNewSessionKey() (*btcec.PrivateKey, error) {
        // Generate a new random session key to ensure that we don't trigger
        // any replay.
        //
        // TODO(roasbeef): add more sources of randomness?
        return btcec.NewPrivateKey()
}

// LightningPayment describes a payment to be sent through the network to the
// final destination.
type LightningPayment struct {
        // Target is the node in which the payment should be routed towards.
        Target route.Vertex

        // Amount is the value of the payment to send through the network in
        // milli-satoshis.
        Amount lnwire.MilliSatoshi

        // FeeLimit is the maximum fee in millisatoshis that the payment should
        // accept when sending it through the network. The payment will fail
        // if there isn't a route with lower fees than this limit.
        FeeLimit lnwire.MilliSatoshi

        // CltvLimit is the maximum time lock that is allowed for attempts to
        // complete this payment.
        CltvLimit uint32

        // paymentHash is the r-hash value to use within the HTLC extended to
        // the first hop. This won't be set for AMP payments.
        paymentHash *lntypes.Hash

        // amp is an optional field that is set if and only if this is am AMP
        // payment.
        amp *AMPOptions

        // FinalCLTVDelta is the CTLV expiry delta to use for the _final_ hop
        // in the route. This means that the final hop will have a CLTV delta
        // of at least: currentHeight + FinalCLTVDelta.
        FinalCLTVDelta uint16

        // PayAttemptTimeout is a timeout value that we'll use to determine
        // when we should should abandon the payment attempt after consecutive
        // payment failure. This prevents us from attempting to send a payment
        // indefinitely. A zero value means the payment will never time out.
        //
        // TODO(halseth): make wallclock time to allow resume after startup.
        PayAttemptTimeout time.Duration

        // RouteHints represents the different routing hints that can be used to
        // assist a payment in reaching its destination successfully. These
        // hints will act as intermediate hops along the route.
        //
        // NOTE: This is optional unless required by the payment. When providing
        // multiple routes, ensure the hop hints within each route are chained
        // together and sorted in forward order in order to reach the
        // destination successfully. This is mutually exclusive to the
        // BlindedPayment field.
        RouteHints [][]zpay32.HopHint

        // BlindedPathSet holds the information about a set of blinded paths to
        // the payment recipient. This is mutually exclusive to the RouteHints
        // field.
        BlindedPathSet *BlindedPaymentPathSet

        // OutgoingChannelIDs is the list of channels that are allowed for the
        // first hop. If nil, any channel may be used.
        OutgoingChannelIDs []uint64

        // LastHop is the pubkey of the last node before the final destination
        // is reached. If nil, any node may be used.
        LastHop *route.Vertex

        // DestFeatures specifies the set of features we assume the final node
        // has for pathfinding. Typically, these will be taken directly from an
        // invoice, but they can also be manually supplied or assumed by the
        // sender. If a nil feature vector is provided, the router will try to
        // fall back to the graph in order to load a feature vector for a node
        // in the public graph.
        DestFeatures *lnwire.FeatureVector

        // PaymentAddr is the payment address specified by the receiver. This
        // field should be a random 32-byte nonce presented in the receiver's
        // invoice to prevent probing of the destination.
        PaymentAddr fn.Option[[32]byte]

        // PaymentRequest is an optional payment request that this payment is
        // attempting to complete.
        PaymentRequest []byte

        // DestCustomRecords are TLV records that are to be sent to the final
        // hop in the new onion payload format. If the destination does not
        // understand this new onion payload format, then the payment will
        // fail.
        DestCustomRecords record.CustomSet

        // FirstHopCustomRecords are the TLV records that are to be sent to the
        // first hop of this payment. These records will be transmitted via the
        // wire message and therefore do not affect the onion payload size.
        FirstHopCustomRecords lnwire.CustomRecords

        // MaxParts is the maximum number of partial payments that may be used
        // to complete the full amount.
        MaxParts uint32

        // MaxShardAmt is the largest shard that we'll attempt to split using.
        // If this field is set, and we need to split, rather than attempting
        // half of the original payment amount, we'll use this value if half
        // the payment amount is greater than it.
        //
        // NOTE: This field is _optional_.
        MaxShardAmt *lnwire.MilliSatoshi

        // TimePref is the time preference for this payment. Set to -1 to
        // optimize for fees only, to 1 to optimize for reliability only or a
        // value in between for a mix.
        TimePref float64

        // Metadata is additional data that is sent along with the payment to
        // the payee.
        Metadata []byte
}

// AMPOptions houses information that must be known in order to send an AMP
// payment.
type AMPOptions struct {
        SetID     [32]byte
        RootShare [32]byte
}

// SetPaymentHash sets the given hash as the payment's overall hash. This
// should only be used for non-AMP payments.
func (l *LightningPayment) SetPaymentHash(hash lntypes.Hash) error {
        if l.amp != nil {
                return fmt.Errorf("cannot set payment hash for AMP payment")
        }

        l.paymentHash = &hash
        return nil
}

// SetAMP sets the given AMP options for the payment.
func (l *LightningPayment) SetAMP(amp *AMPOptions) error {
        if l.paymentHash != nil {
                return fmt.Errorf("cannot set amp options for payment " +
                        "with payment hash")
        }

        l.amp = amp
        return nil
}

// Identifier returns a 32-byte slice that uniquely identifies this single
// payment. For non-AMP payments this will be the payment hash, for AMP
// payments this will be the used SetID.
func (l *LightningPayment) Identifier() [32]byte {
        if l.amp != nil {
                return l.amp.SetID
        }

        return *l.paymentHash
}

// SendPayment attempts to send a payment as described within the passed
// LightningPayment. This function is blocking and will return either: when the
// payment is successful, or all candidates routes have been attempted and
// resulted in a failed payment. If the payment succeeds, then a non-nil Route
// will be returned which describes the path the successful payment traversed
// within the network to reach the destination. Additionally, the payment
// preimage will also be returned.
func (r *ChannelRouter) SendPayment(payment *LightningPayment) ([32]byte,
        *route.Route, error) {

        paySession, shardTracker, err := r.PreparePayment(payment)
        if err != nil {
                return [32]byte{}, nil, err
        }

        log.Tracef("Dispatching SendPayment for lightning payment: %v",
                spewPayment(payment))

        return r.sendPayment(
                context.Background(), payment.FeeLimit, payment.Identifier(),
                payment.PayAttemptTimeout, paySession, shardTracker,
                payment.FirstHopCustomRecords,
        )
}

// SendPaymentAsync is the non-blocking version of SendPayment. The payment
// result needs to be retrieved via the control tower.
func (r *ChannelRouter) SendPaymentAsync(ctx context.Context,
        payment *LightningPayment, ps PaymentSession, st shards.ShardTracker) {

        // Since this is the first time this payment is being made, we pass nil
        // for the existing attempt.
        r.wg.Add(1)
        go func() {
                defer r.wg.Done()

                log.Tracef("Dispatching SendPayment for lightning payment: %v",
                        spewPayment(payment))

                _, _, err := r.sendPayment(
                        ctx, payment.FeeLimit, payment.Identifier(),
                        payment.PayAttemptTimeout, ps, st,
                        payment.FirstHopCustomRecords,
                )
                if err != nil {
                        log.Errorf("Payment %x failed: %v",
                                payment.Identifier(), err)
                }
        }()
}

// spewPayment returns a log closures that provides a spewed string
// representation of the passed payment.
func spewPayment(payment *LightningPayment) lnutils.LogClosure {
        return lnutils.NewLogClosure(func() string {
                // Make a copy of the payment with a nilled Curve
                // before spewing.
                var routeHints [][]zpay32.HopHint
                for _, routeHint := range payment.RouteHints {
                        var hopHints []zpay32.HopHint
                        for _, hopHint := range routeHint {
                                h := hopHint.Copy()
                                hopHints = append(hopHints, h)
                        }
                        routeHints = append(routeHints, hopHints)
                }
                p := *payment
                p.RouteHints = routeHints
                return spew.Sdump(p)
        })
}

// PreparePayment creates the payment session and registers the payment with the
// control tower.
func (r *ChannelRouter) PreparePayment(payment *LightningPayment) (
        PaymentSession, shards.ShardTracker, error) {

        // Assemble any custom data we want to send to the first hop only.
        var firstHopData fn.Option[tlv.Blob]
        if len(payment.FirstHopCustomRecords) > 0 {
                if err := payment.FirstHopCustomRecords.Validate(); err != nil {
                        return nil, nil, fmt.Errorf("invalid first hop custom "+
                                "records: %w", err)
                }

                firstHopBlob, err := payment.FirstHopCustomRecords.Serialize()
                if err != nil {
                        return nil, nil, fmt.Errorf("unable to serialize "+
                                "first hop custom records: %w", err)
                }

                firstHopData = fn.Some(firstHopBlob)
        }

        // Before starting the HTLC routing attempt, we'll create a fresh
        // payment session which will report our errors back to mission
        // control.
        paySession, err := r.cfg.SessionSource.NewPaymentSession(
                payment, firstHopData, r.cfg.TrafficShaper,
        )
        if err != nil {
                return nil, nil, err
        }

        // Record this payment hash with the ControlTower, ensuring it is not
        // already in-flight.
        //
        // TODO(roasbeef): store records as part of creation info?
        info := &channeldb.PaymentCreationInfo{
                PaymentIdentifier:     payment.Identifier(),
                Value:                 payment.Amount,
                CreationTime:          r.cfg.Clock.Now(),
                PaymentRequest:        payment.PaymentRequest,
                FirstHopCustomRecords: payment.FirstHopCustomRecords,
        }

        // Create a new ShardTracker that we'll use during the life cycle of
        // this payment.
        var shardTracker shards.ShardTracker
        switch {
        // If this is an AMP payment, we'll use the AMP shard tracker.
        case payment.amp != nil:
                addr := payment.PaymentAddr.UnwrapOr([32]byte{})
                shardTracker = amp.NewShardTracker(
                        payment.amp.RootShare, payment.amp.SetID, addr,
                        payment.Amount,
                )

        // Otherwise we'll use the simple tracker that will map each attempt to
        // the same payment hash.
        default:
                shardTracker = shards.NewSimpleShardTracker(
                        payment.Identifier(), nil,
                )
        }

        err = r.cfg.Control.InitPayment(payment.Identifier(), info)
        if err != nil {
                return nil, nil, err
        }

        return paySession, shardTracker, nil
}

// SendToRoute sends a payment using the provided route and fails the payment
// when an error is returned from the attempt.
func (r *ChannelRouter) SendToRoute(htlcHash lntypes.Hash, rt *route.Route,
        firstHopCustomRecords lnwire.CustomRecords) (*channeldb.HTLCAttempt,
        error) {

        return r.sendToRoute(htlcHash, rt, false, firstHopCustomRecords)
}

// SendToRouteSkipTempErr sends a payment using the provided route and fails
// the payment ONLY when a terminal error is returned from the attempt.
func (r *ChannelRouter) SendToRouteSkipTempErr(htlcHash lntypes.Hash,
        rt *route.Route,
        firstHopCustomRecords lnwire.CustomRecords) (*channeldb.HTLCAttempt,
        error) {

        return r.sendToRoute(htlcHash, rt, true, firstHopCustomRecords)
}

// sendToRoute attempts to send a payment with the given hash through the
// provided route. This function is blocking and will return the attempt
// information as it is stored in the database. For a successful htlc, this
// information will contain the preimage. If an error occurs after the attempt
// was initiated, both return values will be non-nil. If skipTempErr is true,
// the payment won't be failed unless a terminal error has occurred.
func (r *ChannelRouter) sendToRoute(htlcHash lntypes.Hash, rt *route.Route,
        skipTempErr bool,
        firstHopCustomRecords lnwire.CustomRecords) (*channeldb.HTLCAttempt,
        error) {

        // Helper function to fail a payment. It makes sure the payment is only
        // failed once so that the failure reason is not overwritten.
        failPayment := func(paymentIdentifier lntypes.Hash,
                reason channeldb.FailureReason) error {

                payment, fetchErr := r.cfg.Control.FetchPayment(
                        paymentIdentifier,
                )
                if fetchErr != nil {
                        return fetchErr
                }

                // NOTE: We cannot rely on the payment status to be failed here
                // because it can still be in-flight although the payment is
                // already failed.
                _, failedReason := payment.TerminalInfo()
                if failedReason != nil {
                        return nil
                }

                return r.cfg.Control.FailPayment(paymentIdentifier, reason)
        }

        log.Debugf("SendToRoute for payment %v with skipTempErr=%v",
                htlcHash, skipTempErr)

        // Calculate amount paid to receiver.
        amt := rt.ReceiverAmt()

        // If this is meant as an MP payment shard, we set the amount for the
        // creating info to the total amount of the payment.
        finalHop := rt.Hops[len(rt.Hops)-1]
        mpp := finalHop.MPP
        if mpp != nil {
                amt = mpp.TotalMsat()
        }

        // For non-MPP, there's no such thing as temp error as there's only one
        // HTLC attempt being made. When this HTLC is failed, the payment is
        // failed hence cannot be retried.
        if skipTempErr && mpp == nil {
                return nil, ErrSkipTempErr
        }

        // For non-AMP payments the overall payment identifier will be the same
        // hash as used for this HTLC.
        paymentIdentifier := htlcHash

        // For AMP-payments, we'll use the setID as the unique ID for the
        // overall payment.
        amp := finalHop.AMP
        if amp != nil {
                paymentIdentifier = amp.SetID()
        }

        // Record this payment hash with the ControlTower, ensuring it is not
        // already in-flight.
        info := &channeldb.PaymentCreationInfo{
                PaymentIdentifier:     paymentIdentifier,
                Value:                 amt,
                CreationTime:          r.cfg.Clock.Now(),
                PaymentRequest:        nil,
                FirstHopCustomRecords: firstHopCustomRecords,
        }

        err := r.cfg.Control.InitPayment(paymentIdentifier, info)
        switch {
        // If this is an MPP attempt and the hash is already registered with
        // the database, we can go on to launch the shard.
        case mpp != nil && errors.Is(err, channeldb.ErrPaymentInFlight):
        case mpp != nil && errors.Is(err, channeldb.ErrPaymentExists):

        // Any other error is not tolerated.
        case err != nil:
                return nil, err
        }

        log.Tracef("Dispatching SendToRoute for HTLC hash %v: %v", htlcHash,
                lnutils.SpewLogClosure(rt))

        // Since the HTLC hashes and preimages are specified manually over the
        // RPC for SendToRoute requests, we don't have to worry about creating
        // a ShardTracker that can generate hashes for AMP payments. Instead, we
        // create a simple tracker that can just return the hash for the single
        // shard we'll now launch.
        shardTracker := shards.NewSimpleShardTracker(htlcHash, nil)

        // Create a payment lifecycle using the given route with,
        // - zero fee limit as we are not requesting routes.
        // - nil payment session (since we already have a route).
        // - no payment timeout.
        // - no current block height.
        p := newPaymentLifecycle(
                r, 0, paymentIdentifier, nil, shardTracker, 0,
                firstHopCustomRecords,
        )

        // Allow the traffic shaper to add custom records to the outgoing HTLC
        // and also adjust the amount if needed.
        err = p.amendFirstHopData(rt)
        if err != nil {
                return nil, err
        }

        // We found a route to try, create a new HTLC attempt to try.
        //
        // NOTE: we use zero `remainingAmt` here to simulate the same effect of
        // setting the lastShard to be false, which is used by previous
        // implementation.
        attempt, err := p.registerAttempt(rt, 0)
        if err != nil {
                return nil, err
        }

        // Once the attempt is created, send it to the htlcswitch. Notice that
        // the `err` returned here has already been processed by
        // `handleSwitchErr`, which means if there's a terminal failure, the
        // payment has been failed.
        result, err := p.sendAttempt(attempt)
        if err != nil {
                return nil, err
        }

        // Since for SendToRoute we won't retry in case the shard fails, we'll
        // mark the payment failed with the control tower immediately if the
        // skipTempErr is false.
        reason := channeldb.FailureReasonError

        // If we failed to send the HTLC, we need to further decide if we want
        // to fail the payment.
        if result.err != nil {
                // If skipTempErr, we'll return the attempt and the temp error.
                if skipTempErr {
                        return result.attempt, result.err
                }

                err := failPayment(paymentIdentifier, reason)
                if err != nil {
                        return nil, err
                }

                return result.attempt, result.err
        }

        // The attempt was successfully sent, wait for the result to be
        // available.
        result, err = p.collectAndHandleResult(attempt)
        if err != nil {
                return nil, err
        }

        // We got a successful result.
        if result.err == nil {
                return result.attempt, nil
        }

        // An error returned from collecting the result, we'll mark the payment
        // as failed if we don't skip temp error.
        if !skipTempErr {
                err := failPayment(paymentIdentifier, reason)
                if err != nil {
                        return nil, err
                }
        }

        return result.attempt, result.err
}

// sendPayment attempts to send a payment to the passed payment hash. This
// function is blocking and will return either: when the payment is successful,
// or all candidates routes have been attempted and resulted in a failed
// payment. If the payment succeeds, then a non-nil Route will be returned
// which describes the path the successful payment traversed within the network
// to reach the destination. Additionally, the payment preimage will also be
// returned.
//
// This method relies on the ControlTower's internal payment state machine to
// carry out its execution. After restarts, it is safe, and assumed, that the
// router will call this method for every payment still in-flight according to
// the ControlTower.
func (r *ChannelRouter) sendPayment(ctx context.Context,
        feeLimit lnwire.MilliSatoshi, identifier lntypes.Hash,
        paymentAttemptTimeout time.Duration, paySession PaymentSession,
        shardTracker shards.ShardTracker,
        firstHopCustomRecords lnwire.CustomRecords) ([32]byte, *route.Route,
        error) {

        // If the user provides a timeout, we will additionally wrap the context
        // in a deadline.
        cancel := func() {}
        if paymentAttemptTimeout > 0 {
                ctx, cancel = context.WithTimeout(ctx, paymentAttemptTimeout)
        }

        // Since resumePayment is a blocking call, we'll cancel this
        // context if the payment completes before the optional
        // deadline.
        defer cancel()

        // We'll also fetch the current block height, so we can properly
        // calculate the required HTLC time locks within the route.
        _, currentHeight, err := r.cfg.Chain.GetBestBlock()
        if err != nil {
                return [32]byte{}, nil, err
        }

        // Validate the custom records before we attempt to send the payment.
        // TODO(ziggie): Move this check before registering the payment in the
        // db (InitPayment).
        if err := firstHopCustomRecords.Validate(); err != nil {
                return [32]byte{}, nil, err
        }

        // Now set up a paymentLifecycle struct with these params, such that we
        // can resume the payment from the current state.
        p := newPaymentLifecycle(
                r, feeLimit, identifier, paySession, shardTracker,
                currentHeight, firstHopCustomRecords,
        )

        return p.resumePayment(ctx)
}

// extractChannelUpdate examines the error and extracts the channel update.
func (r *ChannelRouter) extractChannelUpdate(
        failure lnwire.FailureMessage) *lnwire.ChannelUpdate1 {

        var update *lnwire.ChannelUpdate1
        switch onionErr := failure.(type) {
        case *lnwire.FailExpiryTooSoon:
                update = &onionErr.Update
        case *lnwire.FailAmountBelowMinimum:
                update = &onionErr.Update
        case *lnwire.FailFeeInsufficient:
                update = &onionErr.Update
        case *lnwire.FailIncorrectCltvExpiry:
                update = &onionErr.Update
        case *lnwire.FailChannelDisabled:
                update = &onionErr.Update
        case *lnwire.FailTemporaryChannelFailure:
                update = onionErr.Update
        }

        return update
}

// ErrNoChannel is returned when a route cannot be built because there are no
// channels that satisfy all requirements.
type ErrNoChannel struct {
        position int
}

// Error returns a human-readable string describing the error.
func (e ErrNoChannel) Error() string {
        return fmt.Sprintf("no matching outgoing channel available for "+
                "node index %v", e.position)
}

// BuildRoute returns a fully specified route based on a list of pubkeys. If
// amount is nil, the minimum routable amount is used. To force a specific
// outgoing channel, use the outgoingChan parameter.
func (r *ChannelRouter) BuildRoute(amt fn.Option[lnwire.MilliSatoshi],
        hops []route.Vertex, outgoingChan *uint64, finalCltvDelta int32,
        payAddr fn.Option[[32]byte], firstHopBlob fn.Option[[]byte]) (
        *route.Route, error) {

        log.Tracef("BuildRoute called: hopsCount=%v, amt=%v", len(hops), amt)

        var outgoingChans map[uint64]struct{}
        if outgoingChan != nil {
                outgoingChans = map[uint64]struct{}{
                        *outgoingChan: {},
                }
        }

        // We'll attempt to obtain a set of bandwidth hints that helps us select
        // the best outgoing channel to use in case no outgoing channel is set.
        bandwidthHints, err := newBandwidthManager(
                r.cfg.RoutingGraph, r.cfg.SelfNode, r.cfg.GetLink, firstHopBlob,
                r.cfg.TrafficShaper,
        )
        if err != nil {
                return nil, err
        }

        sourceNode := r.cfg.SelfNode

        // We check that each node in the route has a connection to others that
        // can forward in principle.
        unifiers, err := getEdgeUnifiers(
                r.cfg.SelfNode, hops, outgoingChans, r.cfg.RoutingGraph,
        )
        if err != nil {
                return nil, err
        }

        var (
                receiverAmt lnwire.MilliSatoshi
                senderAmt   lnwire.MilliSatoshi
                pathEdges   []*unifiedEdge
        )

        // We determine the edges compatible with the requested amount, as well
        // as the amount to send, which can be used to determine the final
        // receiver amount, if a minimal amount was requested.
        pathEdges, senderAmt, err = senderAmtBackwardPass(
                unifiers, amt, bandwidthHints,
        )
        if err != nil {
                return nil, err
        }

        // For the minimal amount search, we need to do a forward pass to find a
        // larger receiver amount due to possible min HTLC bumps, otherwise we
        // just use the requested amount.
        receiverAmt, err = fn.ElimOption(
                amt,
                func() fn.Result[lnwire.MilliSatoshi] {
                        return fn.NewResult(
                                receiverAmtForwardPass(senderAmt, pathEdges),
                        )
                },
                fn.Ok[lnwire.MilliSatoshi],
        ).Unpack()
        if err != nil {
                return nil, err
        }

        // Fetch the current block height outside the routing transaction, to
        // prevent the rpc call blocking the database.
        _, height, err := r.cfg.Chain.GetBestBlock()
        if err != nil {
                return nil, err
        }

        // Build and return the final route.
        return newRoute(
                sourceNode, pathEdges, uint32(height),
                finalHopParams{
                        amt:         receiverAmt,
                        totalAmt:    receiverAmt,
                        cltvDelta:   uint16(finalCltvDelta),
                        records:     nil,
                        paymentAddr: payAddr,
                }, nil,
        )
}

// resumePayments fetches inflight payments and resumes their payment
// lifecycles.
func (r *ChannelRouter) resumePayments() error {
        // Get all payments that are inflight.
        log.Debugf("Scanning for inflight payments")
        payments, err := r.cfg.Control.FetchInFlightPayments()
        if err != nil {
                return err
        }

        log.Debugf("Scanning finished, found %d inflight payments",
                len(payments))

        // Before we restart existing payments and start accepting more
        // payments to be made, we clean the network result store of the
        // Switch. We do this here at startup to ensure no more payments can be
        // made concurrently, so we know the toKeep map will be up-to-date
        // until the cleaning has finished.
        toKeep := make(map[uint64]struct{})
        for _, p := range payments {
                for _, a := range p.HTLCs {
                        toKeep[a.AttemptID] = struct{}{}

                        // Try to fail the attempt if the route contains a dead
                        // channel.
                        r.failStaleAttempt(a, p.Info.PaymentIdentifier)
                }
        }

        log.Debugf("Cleaning network result store.")
        if err := r.cfg.Payer.CleanStore(toKeep); err != nil {
                return err
        }

        // launchPayment is a helper closure that handles resuming the payment.
        launchPayment := func(payment *channeldb.MPPayment) {
                defer r.wg.Done()

                // Get the hashes used for the outstanding HTLCs.
                htlcs := make(map[uint64]lntypes.Hash)
                for _, a := range payment.HTLCs {
                        a := a

                        // We check whether the individual attempts have their
                        // HTLC hash set, if not we'll fall back to the overall
                        // payment hash.
                        hash := payment.Info.PaymentIdentifier
                        if a.Hash != nil {
                                hash = *a.Hash
                        }

                        htlcs[a.AttemptID] = hash
                }

                payHash := payment.Info.PaymentIdentifier

                // Since we are not supporting creating more shards after a
                // restart (only receiving the result of the shards already
                // outstanding), we create a simple shard tracker that will map
                // the attempt IDs to hashes used for the HTLCs. This will be
                // enough also for AMP payments, since we only need the hashes
                // for the individual HTLCs to regenerate the circuits, and we
                // don't currently persist the root share necessary to
                // re-derive them.
                shardTracker := shards.NewSimpleShardTracker(payHash, htlcs)

                // We create a dummy, empty payment session such that we won't
                // make another payment attempt when the result for the
                // in-flight attempt is received.
                paySession := r.cfg.SessionSource.NewPaymentSessionEmpty()

                // We pass in a non-timeout context, to indicate we don't need
                // it to timeout. It will stop immediately after the existing
                // attempt has finished anyway. We also set a zero fee limit,
                // as no more routes should be tried.
                noTimeout := time.Duration(0)
                _, _, err := r.sendPayment(
                        context.Background(), 0, payHash, noTimeout, paySession,
                        shardTracker, payment.Info.FirstHopCustomRecords,
                )
                if err != nil {
                        log.Errorf("Resuming payment %v failed: %v", payHash,
                                err)

                        return
                }

                log.Infof("Resumed payment %v completed", payHash)
        }

        for _, payment := range payments {
                log.Infof("Resuming payment %v", payment.Info.PaymentIdentifier)

                r.wg.Add(1)
                go launchPayment(payment)
        }

        return nil
}

// failStaleAttempt will fail an HTLC attempt if it's using an unknown channel
// in its route. It first consults the switch to see if there's already a
// network result stored for this attempt. If not, it will check whether the
// first hop of this attempt is using an active channel known to us. If
// inactive, this attempt will be failed.
//
// NOTE: there's an unknown bug that caused the network result for a particular
// attempt to NOT be saved, resulting a payment being stuck forever. More info:
// - https://github.com/lightningnetwork/lnd/issues/8146
// - https://github.com/lightningnetwork/lnd/pull/8174
func (r *ChannelRouter) failStaleAttempt(a channeldb.HTLCAttempt,
        payHash lntypes.Hash) {

        // We can only fail inflight HTLCs so we skip the settled/failed ones.
        if a.Failure != nil || a.Settle != nil {
                return
        }

        // First, check if we've already had a network result for this attempt.
        // If no result is found, we'll check whether the reference link is
        // still known to us.
        ok, err := r.cfg.Payer.HasAttemptResult(a.AttemptID)
        if err != nil {
                log.Errorf("Failed to fetch network result for attempt=%v",
                        a.AttemptID)
                return
        }

        // There's already a network result, no need to fail it here as the
        // payment lifecycle will take care of it, so we can exit early.
        if ok {
                log.Debugf("Already have network result for attempt=%v",
                        a.AttemptID)
                return
        }

        // We now need to decide whether this attempt should be failed here.
        // For very old payments, it's possible that the network results were
        // never saved, causing the payments to be stuck inflight. We now check
        // whether the first hop is referencing an active channel ID and, if
        // not, we will fail the attempt as it has no way to be retried again.
        var shouldFail bool

        // Validate that the attempt has hop info. If this attempt has no hop
        // info it indicates an error in our db.
        if len(a.Route.Hops) == 0 {
                log.Errorf("Found empty hop for attempt=%v", a.AttemptID)

                shouldFail = true
        } else {
                // Get the short channel ID.
                chanID := a.Route.Hops[0].ChannelID
                scid := lnwire.NewShortChanIDFromInt(chanID)

                // Check whether this link is active. If so, we won't fail the
                // attempt but keep waiting for its result.
                _, err := r.cfg.GetLink(scid)
                if err == nil {
                        return
                }

                // We should get the link not found err. If not, we will log an
                // error and skip failing this attempt since an unknown error
                // occurred.
                if !errors.Is(err, htlcswitch.ErrChannelLinkNotFound) {
                        log.Errorf("Failed to get link for attempt=%v for "+
                                "payment=%v: %v", a.AttemptID, payHash, err)

                        return
                }

                // The channel link is not active, we now check whether this
                // channel is already closed. If so, we fail the HTLC attempt
                // as there's no need to wait for its network result because
                // there's no link. If the channel is still pending, we'll keep
                // waiting for the result as we may get a contract resolution
                // for this HTLC.
                if _, ok := r.cfg.ClosedSCIDs[scid]; ok {
                        shouldFail = true
                }
        }

        // Exit if there's no need to fail.
        if !shouldFail {
                return
        }

        log.Errorf("Failing stale attempt=%v for payment=%v", a.AttemptID,
                payHash)

        // Fail the attempt in db. If there's an error, there's nothing we can
        // do here but logging it.
        failInfo := &channeldb.HTLCFailInfo{
                Reason:   channeldb.HTLCFailUnknown,
                FailTime: r.cfg.Clock.Now(),
        }
        _, err = r.cfg.Control.FailAttempt(payHash, a.AttemptID, failInfo)
        if err != nil {
                log.Errorf("Fail attempt=%v got error: %v", a.AttemptID, err)
        }
}

// getEdgeUnifiers returns a list of edge unifiers for the given route.
func getEdgeUnifiers(source route.Vertex, hops []route.Vertex,
        outgoingChans map[uint64]struct{},
        graph Graph) ([]*edgeUnifier, error) {

        // Allocate a list that will contain the edge unifiers for this route.
        unifiers := make([]*edgeUnifier, len(hops))

        // Traverse hops backwards to accumulate fees in the running amounts.
        for i := len(hops) - 1; i >= 0; i-- {
                toNode := hops[i]

                var fromNode route.Vertex
                if i == 0 {
                        fromNode = source
                } else {
                        fromNode = hops[i-1]
                }

                // Build unified policies for this hop based on the channels
                // known in the graph. Inbound fees are only active if the edge
                // is not the last hop.
                isExitHop := i == len(hops)-1
                u := newNodeEdgeUnifier(
                        source, toNode, !isExitHop, outgoingChans,
                )

                err := u.addGraphPolicies(graph)
                if err != nil {
                        return nil, err
                }

                // Exit if there are no channels.
                edgeUnifier, ok := u.edgeUnifiers[fromNode]
                if !ok {
                        log.Errorf("Cannot find policy for node %v", fromNode)
                        return nil, ErrNoChannel{position: i}
                }

                unifiers[i] = edgeUnifier
        }

        return unifiers, nil
}

// senderAmtBackwardPass returns a list of unified edges for the given route and
// determines the amount that should be sent to fulfill min HTLC requirements.
// The minimal sender amount can be searched for by using amt=None.
func senderAmtBackwardPass(unifiers []*edgeUnifier,
        amt fn.Option[lnwire.MilliSatoshi],
        bandwidthHints bandwidthHints) ([]*unifiedEdge, lnwire.MilliSatoshi,
        error) {

        if len(unifiers) == 0 {
                return nil, 0, fmt.Errorf("no unifiers provided")
        }

        var unifiedEdges = make([]*unifiedEdge, len(unifiers))

        // We traverse the route backwards and handle the last hop separately.
        edgeUnifier := unifiers[len(unifiers)-1]

        // incomingAmt tracks the amount that is forwarded on the edges of a
        // route. The last hop only forwards the amount that the receiver should
        // receive, as there are no fees paid to the last node.
        // For minimum amount routes, aim to deliver at least 1 msat to
        // the destination. There are nodes in the wild that have a
        // min_htlc channel policy of zero, which could lead to a zero
        // amount payment being made.
        incomingAmt := amt.UnwrapOr(1)

        // If using min amt, increase the amount if needed to fulfill min HTLC
        // requirements.
        if amt.IsNone() {
                min := edgeUnifier.minAmt()
                if min > incomingAmt {
                        incomingAmt = min
                }
        }

        // Get an edge for the specific amount that we want to forward.
        edge := edgeUnifier.getEdge(incomingAmt, bandwidthHints, 0)
        if edge == nil {
                log.Errorf("Cannot find policy with amt=%v "+
                        "for hop %v", incomingAmt, len(unifiers)-1)

                return nil, 0, ErrNoChannel{position: len(unifiers) - 1}
        }

        unifiedEdges[len(unifiers)-1] = edge

        // Handle the rest of the route except the last hop.
        for i := len(unifiers) - 2; i >= 0; i-- {
                edgeUnifier = unifiers[i]

                // If using min amt, increase the amount if needed to fulfill
                // min HTLC requirements.
                if amt.IsNone() {
                        min := edgeUnifier.minAmt()
                        if min > incomingAmt {
                                incomingAmt = min
                        }
                }

                // A --current hop-- B --next hop: incomingAmt-- C
                // The outbound fee paid to the current end node B is based on
                // the amount that the next hop forwards and B's policy for that
                // hop.
                outboundFee := unifiedEdges[i+1].policy.ComputeFee(
                        incomingAmt,
                )

                netAmount := incomingAmt + outboundFee

                // We need to select an edge that can forward the requested
                // amount.
                edge = edgeUnifier.getEdge(
                        netAmount, bandwidthHints, outboundFee,
                )
                if edge == nil {
                        return nil, 0, ErrNoChannel{position: i}
                }

                // The fee paid to B depends on the current hop's inbound fee
                // policy and on the outbound fee for the next hop as any
                // inbound fee discount is capped by the outbound fee such that
                // the total fee for B can't become negative.
                inboundFee := calcCappedInboundFee(edge, netAmount, outboundFee)

                fee := lnwire.MilliSatoshi(int64(outboundFee) + inboundFee)

                log.Tracef("Select channel %v at position %v",
                        edge.policy.ChannelID, i)

                // Finally, we update the amount that needs to flow into node B
                // from A, which is the next hop's forwarding amount plus the
                // fee for B: A --current hop: incomingAmt-- B --next hop-- C
                incomingAmt += fee

                unifiedEdges[i] = edge
        }

        return unifiedEdges, incomingAmt, nil
}

// receiverAmtForwardPass returns the amount that a receiver will receive after
// deducting all fees from the sender amount.
func receiverAmtForwardPass(runningAmt lnwire.MilliSatoshi,
        unifiedEdges []*unifiedEdge) (lnwire.MilliSatoshi, error) {

        if len(unifiedEdges) == 0 {
                return 0, fmt.Errorf("no edges to forward through")
        }

        inEdge := unifiedEdges[0]
        if !inEdge.amtInRange(runningAmt) {
                log.Errorf("Amount %v not in range for hop index %v",
                        runningAmt, 0)

                return 0, ErrNoChannel{position: 0}
        }

        // Now that we arrived at the start of the route and found out the route
        // total amount, we make a forward pass. Because the amount may have
        // been increased in the backward pass, fees need to be recalculated and
        // amount ranges re-checked.
        for i := 1; i < len(unifiedEdges); i++ {
                inEdge := unifiedEdges[i-1]
                outEdge := unifiedEdges[i]

                // Decrease the amount to send while going forward.
                runningAmt = outgoingFromIncoming(runningAmt, inEdge, outEdge)

                if !outEdge.amtInRange(runningAmt) {
                        log.Errorf("Amount %v not in range for hop index %v",
                                runningAmt, i)

                        return 0, ErrNoChannel{position: i}
                }
        }

        return runningAmt, nil
}

// incomingFromOutgoing computes the incoming amount based on the outgoing
// amount by adding fees to the outgoing amount, replicating the path finding
// and routing process, see also CheckHtlcForward.
func incomingFromOutgoing(outgoingAmt lnwire.MilliSatoshi,
        incoming, outgoing *unifiedEdge) lnwire.MilliSatoshi {

        outgoingFee := outgoing.policy.ComputeFee(outgoingAmt)

        // Net amount is the amount the inbound fees are calculated with.
        netAmount := outgoingAmt + outgoingFee

        inboundFee := incoming.inboundFees.CalcFee(netAmount)

        // The inbound fee is not allowed to reduce the incoming amount below
        // the outgoing amount.
        if int64(outgoingFee)+inboundFee < 0 {
                return outgoingAmt
        }

        return netAmount + lnwire.MilliSatoshi(inboundFee)
}

// outgoingFromIncoming computes the outgoing amount based on the incoming
// amount by subtracting fees from the incoming amount. Note that this is not
// exactly the inverse of incomingFromOutgoing, because of some rounding.
func outgoingFromIncoming(incomingAmt lnwire.MilliSatoshi,
        incoming, outgoing *unifiedEdge) lnwire.MilliSatoshi {

        // Convert all quantities to big.Int to be able to hande negative
        // values. The formulas to compute the outgoing amount involve terms
        // with PPM*PPM*A, which can easily overflow an int64.
        A := big.NewInt(int64(incomingAmt))
        Ro := big.NewInt(int64(outgoing.policy.FeeProportionalMillionths))
        Bo := big.NewInt(int64(outgoing.policy.FeeBaseMSat))
        Ri := big.NewInt(int64(incoming.inboundFees.Rate))
        Bi := big.NewInt(int64(incoming.inboundFees.Base))
        PPM := big.NewInt(1_000_000)

        // The following discussion was contributed by user feelancer21, see
        //nolint:ll
        // https://github.com/feelancer21/lnd/commit/f6f05fa930985aac0d27c3f6681aada1b599162a.

        // The incoming amount Ai based on the outgoing amount Ao is computed by
        // Ai = max(Ai(Ao), Ao), which caps the incoming amount such that the
        // total node fee (Ai - Ao) is non-negative. This is commonly enforced
        // by routing nodes.

        // The function Ai(Ao) is given by:
        // Ai(Ao) = (Ao + Bo + Ro/PPM) + (Bi + (Ao + Ro/PPM + Bo)*Ri/PPM), where
        // the first term is the net amount (the outgoing amount plus the
        // outbound fee), and the second is the inbound fee computed based on
        // the net amount.

        // Ai(Ao) can potentially become more negative in absolute value than
        // Ao, which is why the above mentioned capping is needed. We can
        // abbreviate Ai(Ao) with Ai(Ao) = m*Ao + n, where m and n are:
        // m := (1 + Ro/PPM) * (1 + Ri/PPM)
        // n := Bi + Bo*(1 + Ri/PPM)

        // If we know that m > 0, this is equivalent of Ri/PPM > -1, because Ri
        // is the only factor that can become negative. A value or Ri/PPM = -1,
        // means that the routing node is willing to give up on 100% of the
        // net amount (based on the fee rate), which is likely to not happen in
        // practice. This condition will be important for a later trick.

        // If we want to compute the incoming amount based on the outgoing
        // amount, which is the reverse problem, we need to solve Ai =
        // max(Ai(Ao), Ao) for Ao(Ai). Given an incoming amount A,
        // we look for an Ao such that A = max(Ai(Ao), Ao).

        // The max function separates this into two cases. The case to take is
        // not clear yet, because we don't know Ao, but later we see a trick
        // how to determine which case is the one to take.

        // first case: Ai(Ao) <= Ao:
        // Therefore, A = max(Ai(Ao), Ao) = Ao, we find Ao = A.
        // This also leads to Ai(A) <= A by substitution into the condition.

        // second case: Ai(Ao) > Ao:
        // Therefore, A = max(Ai(Ao), Ao) = Ai(Ao) = m*Ao + n. Solving for Ao
        // gives Ao = (A - n)/m.
        //
        // We know
        // Ai(Ao) > Ao  <=>  A = Ai(Ao) > Ao = (A - n)/m,
        // so A > (A - n)/m.
        //
        // **Assuming m > 0**, by multiplying with m, we can transform this to
        // A * m + n > A.
        //
        // We know Ai(A) = A*m + n, therefore Ai(A) > A.
        //
        // This means that if we apply the incoming amount calculation to the
        // **incoming** amount, and this condition holds, then we know that we
        // deal with the second case, being able to compute the outgoing amount
        // based off the formula Ao = (A - n)/m, otherwise we will just return
        // the incoming amount.

        // In case the inbound fee rate is less than -1 (-100%), we fail to
        // compute the outbound amount and return the incoming amount. This also
        // protects against zero division later.

        // We compute m in terms of big.Int to be safe from overflows and to be
        // consistent with later calculations.
        // m := (PPM*PPM + Ri*PPM + Ro*PPM + Ro*Ri)/(PPM*PPM)

        // Compute terms in (PPM*PPM + Ri*PPM + Ro*PPM + Ro*Ri).
        m1 := new(big.Int).Mul(PPM, PPM)
        m2 := new(big.Int).Mul(Ri, PPM)
        m3 := new(big.Int).Mul(Ro, PPM)
        m4 := new(big.Int).Mul(Ro, Ri)

        // Add up terms m1..m4.
        m := big.NewInt(0)
        m.Add(m, m1)
        m.Add(m, m2)
        m.Add(m, m3)
        m.Add(m, m4)

        // Since we compare to 0, we can multiply by PPM*PPM to avoid the
        // division.
        if m.Int64() <= 0 {
                return incomingAmt
        }

        // In order to decide if the total fee is negative, we apply the fee
        // to the *incoming* amount as mentioned before.

        // We compute the test amount in terms of big.Int to be safe from
        // overflows and to be consistent later calculations.
        // testAmtF := A*m + n =
        // = A + Bo + Bi + (PPM*(A*Ri + A*Ro + Ro*Ri) + A*Ri*Ro)/(PPM*PPM)

        // Compute terms in (A*Ri + A*Ro + Ro*Ri).
        t1 := new(big.Int).Mul(A, Ri)
        t2 := new(big.Int).Mul(A, Ro)
        t3 := new(big.Int).Mul(Ro, Ri)

        // Sum up terms t1-t3.
        t4 := big.NewInt(0)
        t4.Add(t4, t1)
        t4.Add(t4, t2)
        t4.Add(t4, t3)

        // Compute PPM*(A*Ri + A*Ro + Ro*Ri).
        t6 := new(big.Int).Mul(PPM, t4)

        // Compute A*Ri*Ro.
        t7 := new(big.Int).Mul(A, Ri)
        t7.Mul(t7, Ro)

        // Compute (PPM*(A*Ri + A*Ro + Ro*Ri) + A*Ri*Ro)/(PPM*PPM).
        num := new(big.Int).Add(t6, t7)
        denom := new(big.Int).Mul(PPM, PPM)
        fraction := new(big.Int).Div(num, denom)

        // Sum up all terms.
        testAmt := big.NewInt(0)
        testAmt.Add(testAmt, A)
        testAmt.Add(testAmt, Bo)
        testAmt.Add(testAmt, Bi)
        testAmt.Add(testAmt, fraction)

        // Protect against negative values for the integer cast to Msat.
        if testAmt.Int64() < 0 {
                return incomingAmt
        }

        // If the second case holds, we have to compute the outgoing amount.
        if lnwire.MilliSatoshi(testAmt.Int64()) > incomingAmt {
                // Compute the outgoing amount by integer ceiling division. This
                // precision is needed because PPM*PPM*A and other terms can
                // easily overflow with int64, which happens with about
                // A = 10_000 sat.

                // out := (A - n) / m = numerator / denominator
                // numerator := PPM*(PPM*(A - Bo - Bi) - Bo*Ri)
                // denominator := PPM*(PPM + Ri + Ro) + Ri*Ro

                var numerator big.Int

                // Compute (A - Bo - Bi).
                temp1 := new(big.Int).Sub(A, Bo)
                temp2 := new(big.Int).Sub(temp1, Bi)

                // Compute terms in (PPM*(A - Bo - Bi) - Bo*Ri).
                temp3 := new(big.Int).Mul(PPM, temp2)
                temp4 := new(big.Int).Mul(Bo, Ri)

                // Compute PPM*(PPM*(A - Bo - Bi) - Bo*Ri)
                temp5 := new(big.Int).Sub(temp3, temp4)
                numerator.Mul(PPM, temp5)

                var denominator big.Int

                // Compute (PPM + Ri + Ro).
                temp1 = new(big.Int).Add(PPM, Ri)
                temp2 = new(big.Int).Add(temp1, Ro)

                // Compute PPM*(PPM + Ri + Ro) + Ri*Ro.
                temp3 = new(big.Int).Mul(PPM, temp2)
                temp4 = new(big.Int).Mul(Ri, Ro)
                denominator.Add(temp3, temp4)

                // We overestimate the outgoing amount by taking the ceiling of
                // the division. This means that we may round slightly up by a
                // MilliSatoshi, but this helps to ensure that we don't hit min
                // HTLC constrains in the context of finding the minimum amount
                // of a route.
                // ceil = floor((numerator + denominator - 1) / denominator)
                ceil := new(big.Int).Add(&numerator, &denominator)
                ceil.Sub(ceil, big.NewInt(1))
                ceil.Div(ceil, &denominator)

                return lnwire.MilliSatoshi(ceil.Int64())
        }

        // Otherwise the inbound fee made up for the outbound fee, which is why
        // we just return the incoming amount.
        return incomingAmt
}

lightningnetwork / lnd / 14700127904

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