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