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Go A* implementation
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package astar | |
import "container/heap" | |
type NodeQueue []Node | |
func NewNodeQueue() NodeQueue { | |
return make(NodeQueue, 0, 1000) | |
} | |
func (q NodeQueue) Empty() bool { | |
return len(q) == 0 | |
} | |
func (q NodeQueue) Len() int { | |
return len(q) | |
} | |
func (q NodeQueue) Less(i, j int) bool { | |
return f(q[i].State) < f(q[j].State) | |
} | |
func (q NodeQueue) Swap(i, j int) { | |
q[i], q[j] = q[j], q[i] | |
} | |
func (q *NodeQueue) Push(n interface{}) { | |
*q = append(*q, n.(Node)) | |
} | |
func (q *NodeQueue) Pop() interface{} { | |
n := len(*q) | |
last := (*q)[n-1] | |
*q = (*q)[0:n-1] | |
return last | |
} | |
func (q *NodeQueue) Take() Node { | |
return heap.Pop(q).(Node) | |
} | |
func (q *NodeQueue) Put(n Node) { | |
heap.Push(q, n) | |
} |
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package astar | |
type State interface { | |
Hash() int | |
Equal(o interface{}) bool | |
Cost() int | |
CostToGoal() int | |
Neighbors() []State | |
} | |
type Node struct { | |
State State | |
Parent *Node | |
} | |
type Solution []State | |
func backtrack(final Node) Solution { | |
depth := 1 | |
for n := &final; n.Parent != nil; n = n.Parent { | |
depth += 1 | |
} | |
solution := make(Solution, depth) | |
n := &final | |
for i := depth - 1; i >= 0; i -= 1 { | |
solution[i] = n.State | |
n = n.Parent | |
} | |
return solution | |
} | |
func f(s State) int { | |
return s.Cost() + s.CostToGoal() | |
} | |
func Search(initial State) (Solution, bool) { | |
frontier := NewNodeQueue() | |
examined := NewStateSet() | |
frontier.Put(Node{initial}) | |
for !frontier.Empty() { | |
n := frontier.Take() | |
if(n.State.CostToGoal() == 0) { | |
return backtrack(n), true | |
} | |
examined.Add(n.State) | |
for _, newstate := range n.State.Neighbors() { | |
if past, ok := examined.Get(newstate); ok { | |
if f(past) >= f(newstate) { | |
continue | |
} | |
examined.Remove(past) | |
} | |
frontier.Put(Node{newstate, &n}) | |
} | |
} | |
return nil, false | |
} |
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package astar | |
type StateSet map[int][]State | |
func NewStateSet() StateSet { | |
return make(StateSet) | |
} | |
func(set StateSet) Add(v State) { | |
h := v.Hash() | |
set[h] = append(set[h], v) | |
} | |
func(set StateSet) Remove(v State) { | |
h := v.Hash() | |
items := set[h] | |
for i, item := range items { | |
if v.Equal(item) { | |
set[h] = append(items[0:i], items[i+1:]...) | |
break | |
} | |
} | |
} | |
func(set StateSet) Get(v State) (State, bool) { | |
h := v.Hash() | |
items := set[h] | |
for _, item := range items { | |
if v.Equal(item) { | |
return item, true | |
} | |
} | |
return nil, false | |
} |
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package main | |
import ( | |
"fmt" | |
"astar" | |
) | |
func main() { | |
items := []int{5,2,4,3,1} | |
initial := &Move{items, -1, calchash(items), 0, estimatecost(items)} | |
solution, _ := astar.Search(initial) | |
for _, move := range solution { | |
move := move.(*Move) | |
fmt.Printf("%v -> %v \n", move.flip, move.Items) | |
} | |
} |
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package main | |
type Move struct { | |
Items []int | |
flip int | |
hash int | |
flipcount int | |
costToGoal int | |
} | |
func (s *Move) Hash() int { return s.hash } | |
func (s *Move) Cost() int { return s.flipcount } | |
func (s *Move) CostToGoal() int { return s.costToGoal } | |
func (s *Move) equal(o *Move) bool { | |
if s.hash != o.hash { | |
return false | |
} | |
for i, v := range s.Items { | |
if o.Items[i] != v { | |
return false | |
} | |
} | |
return true | |
} | |
func (s *Move) Equal(o interface{}) bool { | |
if o, ok := o.(*Move); ok { | |
return s.equal(o) | |
} | |
return false | |
} | |
func estimatecost(items []int) int { | |
prev := items[0] | |
inc := 0 | |
dec := 1 | |
for _, v := range items { | |
if v < prev { | |
inc += 1 | |
} else if v > prev { | |
dec += 1 | |
} | |
prev = v | |
} | |
if dec < inc { | |
return dec | |
} | |
return inc | |
} | |
func calchash(items []int) int { | |
hash := 17 | |
for _, v := range items { | |
hash = (hash << 4 + hash) ^ v | |
} | |
return hash | |
} | |
func domove(pre *Move, flip int) *Move { | |
var move Move | |
items := make([]int, len(pre.Items)) | |
N := len(pre.Items) | |
copy(items[:flip], pre.Items) | |
i := N - 1 | |
for _, v := range pre.Items[flip:] { | |
items[i] = v | |
i -= 1 | |
} | |
move.Items = items | |
move.flip = flip | |
move.hash = calchash(items) | |
move.flipcount = pre.flipcount + 1 | |
move.costToGoal = estimatecost(items) | |
return &move | |
} | |
func (s *Move) Neighbors() []State { | |
N := len(s.Items) | |
states := make([]State, N-1) | |
for i := range states { | |
states[i] = domove(s, i) | |
} | |
return states | |
} |
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