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// Copyright 2017 The go-ethereum Authors
// This file is part of the go-ethereum library.
//
// The go-ethereum library is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// The go-ethereum library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
package network
import (
"bytes"
"fmt"
"math/rand"
"strings"
"sync"
"time"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/swarm/log"
"github.com/ethereum/go-ethereum/swarm/pot"
)
/ *
Taking the proximity order relative to a fix point x classifies the points in
the space ( n byte long byte sequences ) into bins . Items in each are at
most half as distant from x as items in the previous bin . Given a sample of
uniformly distributed items ( a hash function over arbitrary sequence ) the
proximity scale maps onto series of subsets with cardinalities on a negative
exponential scale .
It also has the property that any two item belonging to the same bin are at
most half as distant from each other as they are from x .
If we think of random sample of items in the bins as connections in a network of
interconnected nodes then relative proximity can serve as the basis for local
decisions for graph traversal where the task is to find a route between two
points . Since in every hop , the finite distance halves , there is
a guaranteed constant maximum limit on the number of hops needed to reach one
node from the other .
* /
var pof = pot . DefaultPof ( 256 )
// KadParams holds the config params for Kademlia
type KadParams struct {
// adjustable parameters
MaxProxDisplay int // number of rows the table shows
MinProxBinSize int // nearest neighbour core minimum cardinality
MinBinSize int // minimum number of peers in a row
MaxBinSize int // maximum number of peers in a row before pruning
RetryInterval int64 // initial interval before a peer is first redialed
RetryExponent int // exponent to multiply retry intervals with
MaxRetries int // maximum number of redial attempts
// function to sanction or prevent suggesting a peer
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Reachable func ( * BzzAddr ) bool
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}
// NewKadParams returns a params struct with default values
func NewKadParams ( ) * KadParams {
return & KadParams {
MaxProxDisplay : 16 ,
MinProxBinSize : 2 ,
MinBinSize : 2 ,
MaxBinSize : 4 ,
RetryInterval : 4200000000 , // 4.2 sec
MaxRetries : 42 ,
RetryExponent : 2 ,
}
}
// Kademlia is a table of live peers and a db of known peers (node records)
type Kademlia struct {
lock sync . RWMutex
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* KadParams // Kademlia configuration parameters
base [ ] byte // immutable baseaddress of the table
addrs * pot . Pot // pots container for known peer addresses
conns * pot . Pot // pots container for live peer connections
depth uint8 // stores the last current depth of saturation
nDepth int // stores the last neighbourhood depth
nDepthC chan int // returned by DepthC function to signal neighbourhood depth change
addrCountC chan int // returned by AddrCountC function to signal peer count change
Pof func ( pot . Val , pot . Val , int ) ( int , bool ) // function for calculating kademlia routing distance between two addresses
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}
// NewKademlia creates a Kademlia table for base address addr
// with parameters as in params
// if params is nil, it uses default values
func NewKademlia ( addr [ ] byte , params * KadParams ) * Kademlia {
if params == nil {
params = NewKadParams ( )
}
return & Kademlia {
base : addr ,
KadParams : params ,
addrs : pot . NewPot ( nil , 0 ) ,
conns : pot . NewPot ( nil , 0 ) ,
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Pof : pof ,
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}
}
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// entry represents a Kademlia table entry (an extension of BzzAddr)
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type entry struct {
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* BzzAddr
conn * Peer
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seenAt time . Time
retries int
}
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// newEntry creates a kademlia peer from a *Peer
func newEntry ( p * BzzAddr ) * entry {
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return & entry {
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BzzAddr : p ,
seenAt : time . Now ( ) ,
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}
}
// Label is a short tag for the entry for debug
func Label ( e * entry ) string {
return fmt . Sprintf ( "%s (%d)" , e . Hex ( ) [ : 4 ] , e . retries )
}
// Hex is the hexadecimal serialisation of the entry address
func ( e * entry ) Hex ( ) string {
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return fmt . Sprintf ( "%x" , e . Address ( ) )
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}
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// Register enters each address as kademlia peer record into the
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// database of known peer addresses
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func ( k * Kademlia ) Register ( peers ... * BzzAddr ) error {
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k . lock . Lock ( )
defer k . lock . Unlock ( )
var known , size int
for _ , p := range peers {
// error if self received, peer should know better
// and should be punished for this
if bytes . Equal ( p . Address ( ) , k . base ) {
return fmt . Errorf ( "add peers: %x is self" , k . base )
}
var found bool
k . addrs , _ , found , _ = pot . Swap ( k . addrs , p , pof , func ( v pot . Val ) pot . Val {
// if not found
if v == nil {
// insert new offline peer into conns
return newEntry ( p )
}
// found among known peers, do nothing
return v
} )
if found {
known ++
}
size ++
}
// send new address count value only if there are new addresses
if k . addrCountC != nil && size - known > 0 {
k . addrCountC <- k . addrs . Size ( )
}
k . sendNeighbourhoodDepthChange ( )
return nil
}
// SuggestPeer returns a known peer for the lowest proximity bin for the
// lowest bincount below depth
// naturally if there is an empty row it returns a peer for that
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func ( k * Kademlia ) SuggestPeer ( ) ( a * BzzAddr , o int , want bool ) {
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k . lock . Lock ( )
defer k . lock . Unlock ( )
minsize := k . MinBinSize
depth := k . neighbourhoodDepth ( )
// if there is a callable neighbour within the current proxBin, connect
// this makes sure nearest neighbour set is fully connected
var ppo int
k . addrs . EachNeighbour ( k . base , pof , func ( val pot . Val , po int ) bool {
if po < depth {
return false
}
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e := val . ( * entry )
c := k . callable ( e )
if c {
a = e . BzzAddr
}
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ppo = po
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return ! c
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} )
if a != nil {
log . Trace ( fmt . Sprintf ( "%08x candidate nearest neighbour found: %v (%v)" , k . BaseAddr ( ) [ : 4 ] , a , ppo ) )
return a , 0 , false
}
var bpo [ ] int
prev := - 1
k . conns . EachBin ( k . base , pof , 0 , func ( po , size int , f func ( func ( val pot . Val , i int ) bool ) bool ) bool {
prev ++
for ; prev < po ; prev ++ {
bpo = append ( bpo , prev )
minsize = 0
}
if size < minsize {
bpo = append ( bpo , po )
minsize = size
}
return size > 0 && po < depth
} )
// all buckets are full, ie., minsize == k.MinBinSize
if len ( bpo ) == 0 {
return nil , 0 , false
}
// as long as we got candidate peers to connect to
// dont ask for new peers (want = false)
// try to select a candidate peer
// find the first callable peer
nxt := bpo [ 0 ]
k . addrs . EachBin ( k . base , pof , nxt , func ( po , _ int , f func ( func ( pot . Val , int ) bool ) bool ) bool {
// for each bin (up until depth) we find callable candidate peers
if po >= depth {
return false
}
return f ( func ( val pot . Val , _ int ) bool {
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e := val . ( * entry )
c := k . callable ( e )
if c {
a = e . BzzAddr
}
return ! c
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} )
} )
// found a candidate
if a != nil {
return a , 0 , false
}
// no candidate peer found, request for the short bin
var changed bool
if uint8 ( nxt ) < k . depth {
k . depth = uint8 ( nxt )
changed = true
}
return a , nxt , changed
}
// On inserts the peer as a kademlia peer into the live peers
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func ( k * Kademlia ) On ( p * Peer ) ( uint8 , bool ) {
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k . lock . Lock ( )
defer k . lock . Unlock ( )
var ins bool
k . conns , _ , _ , _ = pot . Swap ( k . conns , p , pof , func ( v pot . Val ) pot . Val {
// if not found live
if v == nil {
ins = true
// insert new online peer into conns
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return p
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}
// found among live peers, do nothing
return v
} )
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if ins && ! p . BzzPeer . LightNode {
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a := newEntry ( p . BzzAddr )
a . conn = p
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// insert new online peer into addrs
k . addrs , _ , _ , _ = pot . Swap ( k . addrs , p , pof , func ( v pot . Val ) pot . Val {
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return a
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} )
// send new address count value only if the peer is inserted
if k . addrCountC != nil {
k . addrCountC <- k . addrs . Size ( )
}
}
log . Trace ( k . string ( ) )
// calculate if depth of saturation changed
depth := uint8 ( k . saturation ( k . MinBinSize ) )
var changed bool
if depth != k . depth {
changed = true
k . depth = depth
}
k . sendNeighbourhoodDepthChange ( )
return k . depth , changed
}
// NeighbourhoodDepthC returns the channel that sends a new kademlia
// neighbourhood depth on each change.
// Not receiving from the returned channel will block On function
// when the neighbourhood depth is changed.
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// TODO: Why is this exported, and if it should be; why can't we have more subscribers than one?
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func ( k * Kademlia ) NeighbourhoodDepthC ( ) <- chan int {
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k . lock . Lock ( )
defer k . lock . Unlock ( )
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if k . nDepthC == nil {
k . nDepthC = make ( chan int )
}
return k . nDepthC
}
// sendNeighbourhoodDepthChange sends new neighbourhood depth to k.nDepth channel
// if it is initialized.
func ( k * Kademlia ) sendNeighbourhoodDepthChange ( ) {
// nDepthC is initialized when NeighbourhoodDepthC is called and returned by it.
// It provides signaling of neighbourhood depth change.
// This part of the code is sending new neighbourhood depth to nDepthC if that condition is met.
if k . nDepthC != nil {
nDepth := k . neighbourhoodDepth ( )
if nDepth != k . nDepth {
k . nDepth = nDepth
k . nDepthC <- nDepth
}
}
}
// AddrCountC returns the channel that sends a new
// address count value on each change.
// Not receiving from the returned channel will block Register function
// when address count value changes.
func ( k * Kademlia ) AddrCountC ( ) <- chan int {
if k . addrCountC == nil {
k . addrCountC = make ( chan int )
}
return k . addrCountC
}
// Off removes a peer from among live peers
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func ( k * Kademlia ) Off ( p * Peer ) {
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k . lock . Lock ( )
defer k . lock . Unlock ( )
var del bool
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if ! p . BzzPeer . LightNode {
k . addrs , _ , _ , _ = pot . Swap ( k . addrs , p , pof , func ( v pot . Val ) pot . Val {
// v cannot be nil, must check otherwise we overwrite entry
if v == nil {
panic ( fmt . Sprintf ( "connected peer not found %v" , p ) )
}
del = true
return newEntry ( p . BzzAddr )
} )
} else {
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del = true
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}
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if del {
k . conns , _ , _ , _ = pot . Swap ( k . conns , p , pof , func ( _ pot . Val ) pot . Val {
// v cannot be nil, but no need to check
return nil
} )
// send new address count value only if the peer is deleted
if k . addrCountC != nil {
k . addrCountC <- k . addrs . Size ( )
}
k . sendNeighbourhoodDepthChange ( )
}
}
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func ( k * Kademlia ) EachBin ( base [ ] byte , pof pot . Pof , o int , eachBinFunc func ( conn * Peer , po int ) bool ) {
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k . lock . RLock ( )
defer k . lock . RUnlock ( )
var startPo int
var endPo int
kadDepth := k . neighbourhoodDepth ( )
k . conns . EachBin ( base , pof , o , func ( po , size int , f func ( func ( val pot . Val , i int ) bool ) bool ) bool {
if startPo > 0 && endPo != k . MaxProxDisplay {
startPo = endPo + 1
}
if po < kadDepth {
endPo = po
} else {
endPo = k . MaxProxDisplay
}
for bin := startPo ; bin <= endPo ; bin ++ {
f ( func ( val pot . Val , _ int ) bool {
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return eachBinFunc ( val . ( * Peer ) , bin )
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} )
}
return true
} )
}
// EachConn is an iterator with args (base, po, f) applies f to each live peer
// that has proximity order po or less as measured from the base
// if base is nil, kademlia base address is used
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func ( k * Kademlia ) EachConn ( base [ ] byte , o int , f func ( * Peer , int , bool ) bool ) {
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k . lock . RLock ( )
defer k . lock . RUnlock ( )
k . eachConn ( base , o , f )
}
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func ( k * Kademlia ) eachConn ( base [ ] byte , o int , f func ( * Peer , int , bool ) bool ) {
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if len ( base ) == 0 {
base = k . base
}
depth := k . neighbourhoodDepth ( )
k . conns . EachNeighbour ( base , pof , func ( val pot . Val , po int ) bool {
if po > o {
return true
}
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return f ( val . ( * Peer ) , po , po >= depth )
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} )
}
// EachAddr called with (base, po, f) is an iterator applying f to each known peer
// that has proximity order po or less as measured from the base
// if base is nil, kademlia base address is used
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func ( k * Kademlia ) EachAddr ( base [ ] byte , o int , f func ( * BzzAddr , int , bool ) bool ) {
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k . lock . RLock ( )
defer k . lock . RUnlock ( )
k . eachAddr ( base , o , f )
}
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func ( k * Kademlia ) eachAddr ( base [ ] byte , o int , f func ( * BzzAddr , int , bool ) bool ) {
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if len ( base ) == 0 {
base = k . base
}
depth := k . neighbourhoodDepth ( )
k . addrs . EachNeighbour ( base , pof , func ( val pot . Val , po int ) bool {
if po > o {
return true
}
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return f ( val . ( * entry ) . BzzAddr , po , po >= depth )
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} )
}
// neighbourhoodDepth returns the proximity order that defines the distance of
// the nearest neighbour set with cardinality >= MinProxBinSize
// if there is altogether less than MinProxBinSize peers it returns 0
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func ( k * Kademlia ) NeighbourhoodDepth ( ) ( depth int ) {
k . lock . RLock ( )
defer k . lock . RUnlock ( )
return k . neighbourhoodDepth ( )
}
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func ( k * Kademlia ) neighbourhoodDepth ( ) ( depth int ) {
if k . conns . Size ( ) < k . MinProxBinSize {
return 0
}
var size int
f := func ( v pot . Val , i int ) bool {
size ++
depth = i
return size < k . MinProxBinSize
}
k . conns . EachNeighbour ( k . base , pof , f )
return depth
}
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// callable decides if an address entry represents a callable peer
func ( k * Kademlia ) callable ( e * entry ) bool {
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// not callable if peer is live or exceeded maxRetries
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if e . conn != nil || e . retries > k . MaxRetries {
return false
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}
// calculate the allowed number of retries based on time lapsed since last seen
timeAgo := int64 ( time . Since ( e . seenAt ) )
div := int64 ( k . RetryExponent )
div += ( 150000 - rand . Int63n ( 300000 ) ) * div / 1000000
var retries int
for delta := timeAgo ; delta > k . RetryInterval ; delta /= div {
retries ++
}
// this is never called concurrently, so safe to increment
// peer can be retried again
if retries < e . retries {
log . Trace ( fmt . Sprintf ( "%08x: %v long time since last try (at %v) needed before retry %v, wait only warrants %v" , k . BaseAddr ( ) [ : 4 ] , e , timeAgo , e . retries , retries ) )
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return false
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}
// function to sanction or prevent suggesting a peer
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if k . Reachable != nil && ! k . Reachable ( e . BzzAddr ) {
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log . Trace ( fmt . Sprintf ( "%08x: peer %v is temporarily not callable" , k . BaseAddr ( ) [ : 4 ] , e ) )
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return false
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}
e . retries ++
log . Trace ( fmt . Sprintf ( "%08x: peer %v is callable" , k . BaseAddr ( ) [ : 4 ] , e ) )
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return true
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}
// BaseAddr return the kademlia base address
func ( k * Kademlia ) BaseAddr ( ) [ ] byte {
return k . base
}
// String returns kademlia table + kaddb table displayed with ascii
func ( k * Kademlia ) String ( ) string {
k . lock . RLock ( )
defer k . lock . RUnlock ( )
return k . string ( )
}
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// string returns kademlia table + kaddb table displayed with ascii
// caller must hold the lock
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func ( k * Kademlia ) string ( ) string {
wsrow := " "
var rows [ ] string
rows = append ( rows , "=========================================================================" )
rows = append ( rows , fmt . Sprintf ( "%v KΛÐΞMLIΛ hive: queen's address: %x" , time . Now ( ) . UTC ( ) . Format ( time . UnixDate ) , k . BaseAddr ( ) [ : 3 ] ) )
rows = append ( rows , fmt . Sprintf ( "population: %d (%d), MinProxBinSize: %d, MinBinSize: %d, MaxBinSize: %d" , k . conns . Size ( ) , k . addrs . Size ( ) , k . MinProxBinSize , k . MinBinSize , k . MaxBinSize ) )
liverows := make ( [ ] string , k . MaxProxDisplay )
peersrows := make ( [ ] string , k . MaxProxDisplay )
depth := k . neighbourhoodDepth ( )
rest := k . conns . Size ( )
k . conns . EachBin ( k . base , pof , 0 , func ( po , size int , f func ( func ( val pot . Val , i int ) bool ) bool ) bool {
var rowlen int
if po >= k . MaxProxDisplay {
po = k . MaxProxDisplay - 1
}
row := [ ] string { fmt . Sprintf ( "%2d" , size ) }
rest -= size
f ( func ( val pot . Val , vpo int ) bool {
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e := val . ( * Peer )
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row = append ( row , fmt . Sprintf ( "%x" , e . Address ( ) [ : 2 ] ) )
rowlen ++
return rowlen < 4
} )
r := strings . Join ( row , " " )
r = r + wsrow
liverows [ po ] = r [ : 31 ]
return true
} )
k . addrs . EachBin ( k . base , pof , 0 , func ( po , size int , f func ( func ( val pot . Val , i int ) bool ) bool ) bool {
var rowlen int
if po >= k . MaxProxDisplay {
po = k . MaxProxDisplay - 1
}
if size < 0 {
panic ( "wtf" )
}
row := [ ] string { fmt . Sprintf ( "%2d" , size ) }
// we are displaying live peers too
f ( func ( val pot . Val , vpo int ) bool {
e := val . ( * entry )
row = append ( row , Label ( e ) )
rowlen ++
return rowlen < 4
} )
peersrows [ po ] = strings . Join ( row , " " )
return true
} )
for i := 0 ; i < k . MaxProxDisplay ; i ++ {
if i == depth {
rows = append ( rows , fmt . Sprintf ( "============ DEPTH: %d ==========================================" , i ) )
}
left := liverows [ i ]
right := peersrows [ i ]
if len ( left ) == 0 {
left = " 0 "
}
if len ( right ) == 0 {
right = " 0"
}
rows = append ( rows , fmt . Sprintf ( "%03d %v | %v" , i , left , right ) )
}
rows = append ( rows , "=========================================================================" )
return "\n" + strings . Join ( rows , "\n" )
}
// PeerPot keeps info about expected nearest neighbours and empty bins
// used for testing only
type PeerPot struct {
NNSet [ ] [ ] byte
EmptyBins [ ] int
}
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// NewPeerPotMap creates a map of pot record of *BzzAddr with keys
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// as hexadecimal representations of the address.
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// used for testing only
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func NewPeerPotMap ( kadMinProxSize int , addrs [ ] [ ] byte ) map [ string ] * PeerPot {
// create a table of all nodes for health check
np := pot . NewPot ( nil , 0 )
for _ , addr := range addrs {
np , _ , _ = pot . Add ( np , addr , pof )
}
ppmap := make ( map [ string ] * PeerPot )
for i , a := range addrs {
pl := 256
prev := 256
var emptyBins [ ] int
var nns [ ] [ ] byte
np . EachNeighbour ( addrs [ i ] , pof , func ( val pot . Val , po int ) bool {
a := val . ( [ ] byte )
if po == 256 {
return true
}
if pl == 256 || pl == po {
nns = append ( nns , a )
}
if pl == 256 && len ( nns ) >= kadMinProxSize {
pl = po
prev = po
}
if prev < pl {
for j := prev ; j > po ; j -- {
emptyBins = append ( emptyBins , j )
}
}
prev = po - 1
return true
} )
for j := prev ; j >= 0 ; j -- {
emptyBins = append ( emptyBins , j )
}
log . Trace ( fmt . Sprintf ( "%x NNS: %s" , addrs [ i ] [ : 4 ] , LogAddrs ( nns ) ) )
ppmap [ common . Bytes2Hex ( a ) ] = & PeerPot { nns , emptyBins }
}
return ppmap
}
// saturation returns the lowest proximity order that the bin for that order
// has less than n peers
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// It is used in Healthy function for testing only
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func ( k * Kademlia ) saturation ( n int ) int {
prev := - 1
k . addrs . EachBin ( k . base , pof , 0 , func ( po , size int , f func ( func ( val pot . Val , i int ) bool ) bool ) bool {
prev ++
return prev == po && size >= n
} )
depth := k . neighbourhoodDepth ( )
if depth < prev {
return depth
}
return prev
}
// full returns true if all required bins have connected peers.
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// It is used in Healthy function for testing only
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func ( k * Kademlia ) full ( emptyBins [ ] int ) ( full bool ) {
prev := 0
e := len ( emptyBins )
ok := true
depth := k . neighbourhoodDepth ( )
k . conns . EachBin ( k . base , pof , 0 , func ( po , _ int , _ func ( func ( val pot . Val , i int ) bool ) bool ) bool {
if prev == depth + 1 {
return true
}
for i := prev ; i < po ; i ++ {
e --
if e < 0 {
ok = false
return false
}
if emptyBins [ e ] != i {
log . Trace ( fmt . Sprintf ( "%08x po: %d, i: %d, e: %d, emptybins: %v" , k . BaseAddr ( ) [ : 4 ] , po , i , e , logEmptyBins ( emptyBins ) ) )
if emptyBins [ e ] < i {
panic ( "incorrect peerpot" )
}
ok = false
return false
}
}
prev = po + 1
return true
} )
if ! ok {
return false
}
return e == 0
}
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// knowNearestNeighbours tests if all known nearest neighbours given as arguments
// are found in the addressbook
// It is used in Healthy function for testing only
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func ( k * Kademlia ) knowNearestNeighbours ( peers [ ] [ ] byte ) bool {
pm := make ( map [ string ] bool )
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k . eachAddr ( nil , 255 , func ( p * BzzAddr , po int , nn bool ) bool {
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if ! nn {
return false
}
pk := fmt . Sprintf ( "%x" , p . Address ( ) )
pm [ pk ] = true
return true
} )
for _ , p := range peers {
pk := fmt . Sprintf ( "%x" , p )
if ! pm [ pk ] {
log . Trace ( fmt . Sprintf ( "%08x: known nearest neighbour %s not found" , k . BaseAddr ( ) [ : 4 ] , pk [ : 8 ] ) )
return false
}
}
return true
}
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// gotNearestNeighbours tests if all known nearest neighbours given as arguments
// are connected peers
// It is used in Healthy function for testing only
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func ( k * Kademlia ) gotNearestNeighbours ( peers [ ] [ ] byte ) ( got bool , n int , missing [ ] [ ] byte ) {
pm := make ( map [ string ] bool )
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k . eachConn ( nil , 255 , func ( p * Peer , po int , nn bool ) bool {
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if ! nn {
return false
}
pk := fmt . Sprintf ( "%x" , p . Address ( ) )
pm [ pk ] = true
return true
} )
var gots int
var culprits [ ] [ ] byte
for _ , p := range peers {
pk := fmt . Sprintf ( "%x" , p )
if pm [ pk ] {
gots ++
} else {
log . Trace ( fmt . Sprintf ( "%08x: ExpNN: %s not found" , k . BaseAddr ( ) [ : 4 ] , pk [ : 8 ] ) )
culprits = append ( culprits , p )
}
}
return gots == len ( peers ) , gots , culprits
}
// Health state of the Kademlia
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// used for testing only
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type Health struct {
KnowNN bool // whether node knows all its nearest neighbours
GotNN bool // whether node is connected to all its nearest neighbours
CountNN int // amount of nearest neighbors connected to
CulpritsNN [ ] [ ] byte // which known NNs are missing
Full bool // whether node has a peer in each kademlia bin (where there is such a peer)
Hive string
}
// Healthy reports the health state of the kademlia connectivity
// returns a Health struct
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// used for testing only
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func ( k * Kademlia ) Healthy ( pp * PeerPot ) * Health {
k . lock . RLock ( )
defer k . lock . RUnlock ( )
gotnn , countnn , culpritsnn := k . gotNearestNeighbours ( pp . NNSet )
knownn := k . knowNearestNeighbours ( pp . NNSet )
full := k . full ( pp . EmptyBins )
log . Trace ( fmt . Sprintf ( "%08x: healthy: knowNNs: %v, gotNNs: %v, full: %v\n" , k . BaseAddr ( ) [ : 4 ] , knownn , gotnn , full ) )
return & Health { knownn , gotnn , countnn , culpritsnn , full , k . string ( ) }
}
func logEmptyBins ( ebs [ ] int ) string {
var ebss [ ] string
for _ , eb := range ebs {
ebss = append ( ebss , fmt . Sprintf ( "%d" , eb ) )
}
return strings . Join ( ebss , ", " )
}