2018-01-29 19:44:18 +00:00
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// Copyright 2016 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 les implements the Light Ethereum Subprotocol.
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package les
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import (
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"math/rand"
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)
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// wrsItem interface should be implemented by any entries that are to be selected from
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// a weightedRandomSelect set. Note that recalculating monotonously decreasing item
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// weights on-demand (without constantly calling update) is allowed
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type wrsItem interface {
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Weight() int64
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}
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// weightedRandomSelect is capable of weighted random selection from a set of items
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type weightedRandomSelect struct {
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root *wrsNode
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idx map[wrsItem]int
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}
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// newWeightedRandomSelect returns a new weightedRandomSelect structure
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func newWeightedRandomSelect() *weightedRandomSelect {
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return &weightedRandomSelect{root: &wrsNode{maxItems: wrsBranches}, idx: make(map[wrsItem]int)}
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}
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// update updates an item's weight, adds it if it was non-existent or removes it if
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// the new weight is zero. Note that explicitly updating decreasing weights is not necessary.
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func (w *weightedRandomSelect) update(item wrsItem) {
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w.setWeight(item, item.Weight())
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}
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// remove removes an item from the set
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func (w *weightedRandomSelect) remove(item wrsItem) {
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w.setWeight(item, 0)
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}
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// setWeight sets an item's weight to a specific value (removes it if zero)
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func (w *weightedRandomSelect) setWeight(item wrsItem, weight int64) {
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idx, ok := w.idx[item]
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if ok {
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w.root.setWeight(idx, weight)
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if weight == 0 {
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delete(w.idx, item)
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}
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} else {
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if weight != 0 {
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if w.root.itemCnt == w.root.maxItems {
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// add a new level
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newRoot := &wrsNode{sumWeight: w.root.sumWeight, itemCnt: w.root.itemCnt, level: w.root.level + 1, maxItems: w.root.maxItems * wrsBranches}
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newRoot.items[0] = w.root
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newRoot.weights[0] = w.root.sumWeight
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w.root = newRoot
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}
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w.idx[item] = w.root.insert(item, weight)
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}
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}
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}
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// choose randomly selects an item from the set, with a chance proportional to its
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// current weight. If the weight of the chosen element has been decreased since the
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// last stored value, returns it with a newWeight/oldWeight chance, otherwise just
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// updates its weight and selects another one
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func (w *weightedRandomSelect) choose() wrsItem {
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for {
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if w.root.sumWeight == 0 {
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return nil
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}
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val := rand.Int63n(w.root.sumWeight)
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choice, lastWeight := w.root.choose(val)
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weight := choice.Weight()
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if weight != lastWeight {
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w.setWeight(choice, weight)
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}
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if weight >= lastWeight || rand.Int63n(lastWeight) < weight {
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return choice
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}
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}
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}
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const wrsBranches = 8 // max number of branches in the wrsNode tree
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// wrsNode is a node of a tree structure that can store wrsItems or further wrsNodes.
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type wrsNode struct {
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items [wrsBranches]interface{}
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weights [wrsBranches]int64
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sumWeight int64
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level, itemCnt, maxItems int
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}
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// insert recursively inserts a new item to the tree and returns the item index
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func (n *wrsNode) insert(item wrsItem, weight int64) int {
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branch := 0
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for n.items[branch] != nil && (n.level == 0 || n.items[branch].(*wrsNode).itemCnt == n.items[branch].(*wrsNode).maxItems) {
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branch++
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if branch == wrsBranches {
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panic(nil)
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}
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}
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n.itemCnt++
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n.sumWeight += weight
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n.weights[branch] += weight
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if n.level == 0 {
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n.items[branch] = item
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return branch
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2018-11-23 22:28:36 +00:00
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}
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var subNode *wrsNode
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if n.items[branch] == nil {
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subNode = &wrsNode{maxItems: n.maxItems / wrsBranches, level: n.level - 1}
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n.items[branch] = subNode
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2018-01-29 19:44:18 +00:00
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} else {
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2018-11-23 22:28:36 +00:00
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subNode = n.items[branch].(*wrsNode)
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2018-01-29 19:44:18 +00:00
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}
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2018-11-23 22:28:36 +00:00
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subIdx := subNode.insert(item, weight)
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return subNode.maxItems*branch + subIdx
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2018-01-29 19:44:18 +00:00
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}
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// setWeight updates the weight of a certain item (which should exist) and returns
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// the change of the last weight value stored in the tree
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func (n *wrsNode) setWeight(idx int, weight int64) int64 {
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if n.level == 0 {
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oldWeight := n.weights[idx]
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n.weights[idx] = weight
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diff := weight - oldWeight
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n.sumWeight += diff
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if weight == 0 {
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n.items[idx] = nil
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n.itemCnt--
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}
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return diff
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}
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branchItems := n.maxItems / wrsBranches
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branch := idx / branchItems
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diff := n.items[branch].(*wrsNode).setWeight(idx-branch*branchItems, weight)
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n.weights[branch] += diff
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n.sumWeight += diff
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if weight == 0 {
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n.itemCnt--
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}
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return diff
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}
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// choose recursively selects an item from the tree and returns it along with its weight
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func (n *wrsNode) choose(val int64) (wrsItem, int64) {
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for i, w := range n.weights {
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if val < w {
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if n.level == 0 {
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return n.items[i].(wrsItem), n.weights[i]
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}
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2018-11-23 22:28:36 +00:00
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return n.items[i].(*wrsNode).choose(val)
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2018-01-29 19:44:18 +00:00
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}
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2018-11-23 22:28:36 +00:00
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val -= w
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2018-01-29 19:44:18 +00:00
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}
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panic(nil)
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}
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