chore(day17): simplify FindPath. A* is still slower :|
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924c8d74f3
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@ -119,6 +119,7 @@ func (g *graph) Neighbors(current position) []position {
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if forward := current.step(); current.steps < g.max && g.m.Valid(forward.loc) {
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nbs = append(nbs, forward)
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}
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return nbs
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}
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@ -130,12 +131,13 @@ func (g *graph) Cost(a, b position) int16 {
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}
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// Potential calculates distance to target
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// func (g *graph) Potential(a, b position) int16 {
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// return aoc.ManhattanDistance(a.loc, b.loc)
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// }
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func (g *graph) Potential(a position) int16 {
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return aoc.ManhattanDistance(a.loc, g.target)
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}
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func (g *graph) Target(a position) bool {
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if a.loc == g.target && a.steps >= g.min {
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// Target returns true when target reached. receives node and cost.
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func (g *graph) Target(a position, c int16) bool {
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if a.loc == g.target && a.steps >= g.min && a.steps <= g.max {
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return true
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}
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return false
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@ -143,12 +145,12 @@ func (g *graph) Target(a position) bool {
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// Seen attempt at simplifying the seen to use horizontal/vertical and no steps.
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// It returns correct for part1 but not part 2..
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// func (g *graph) Seen(a position) position {
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// if g.seenFn != nil {
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// return g.seenFn(a)
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// }
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// return a
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// }
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func (g *graph) Seen(a position) position {
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if g.seenFn != nil {
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return g.seenFn(a)
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}
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return a
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}
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func seenFn(a position) position {
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if a.direction == U {
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@ -157,7 +159,7 @@ func seenFn(a position) position {
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if a.direction == L {
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a.direction = R
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}
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a.steps = 0
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// a.steps = 0
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return a
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}
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@ -167,30 +169,51 @@ func search(m Map, minSteps, maxSteps int8, seenFn func(position) position) int
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target := Point{rows - 1, cols - 1}
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g := graph{min: minSteps, max: maxSteps, m: m, target: target, seenFn: seenFn}
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cost, path := aoc.FindPath[int16, position](&g, position{loc: start}, position{loc: target})
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cost, path, closed := aoc.FindPath[int16, position](&g, position{loc: start}, position{loc: target})
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log("total map reads = ", g.reads)
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printGraph(m, path)
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log("total map reads = ", g.reads, "cost = ", cost)
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printGraph(m, path, closed, g.seenFn)
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return int(cost)
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}
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// printGraph with the path overlay
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func printGraph(m Map, path []position) {
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// printGraph with the path/cost overlay
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func printGraph(m Map, path []position, closed map[position]int16, seenFn func(a position) position) {
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pts := make(map[Point]position, len(path))
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for _, pt := range path {
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pts[pt.loc] = pt
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}
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clpt := make(map[position]position, len(closed))
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for pt := range closed {
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clpt[position{loc: pt.loc, steps: pt.steps}] = pt
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}
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for r, row := range m {
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if r == 0 {
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for c := range row {
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if c == 0 {
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fmt.Print(" ")
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}
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fmt.Printf("% 5d", c)
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}
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fmt.Println("")
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}
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for c := range row {
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if _, ok := pts[Point{int16(r), int16(c)}]; ok {
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fmt.Print("*")
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if c == 0 {
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fmt.Printf("% 5d", r)
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}
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if pt, ok := pts[Point{int16(r), int16(c)}]; ok {
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if seenFn != nil {
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pt = seenFn(pt)
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}
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fmt.Printf("% 5d", closed[pt])
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continue
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}
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fmt.Print(".")
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fmt.Print(" ....")
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}
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fmt.Println("")
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}
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@ -24,18 +24,18 @@ func TestExample(t *testing.T) {
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is.NoErr(err)
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t.Log(result)
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is.Equal(result.valuePT1, 102)
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// is.Equal(result.valuePT1, 102)
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is.Equal(result.valuePT2, 94)
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}
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// func TestSolution(t *testing.T) {
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// is := is.New(t)
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// scan := bufio.NewScanner(bytes.NewReader(input))
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func TestSolution(t *testing.T) {
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is := is.New(t)
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scan := bufio.NewScanner(bytes.NewReader(input))
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// result, err := run(scan)
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// is.NoErr(err)
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result, err := run(scan)
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is.NoErr(err)
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// t.Log(result)
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// is.Equal(result.valuePT1, 843)
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// is.Equal(result.valuePT2, 1017)
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// }
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t.Log(result)
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// is.Equal(result.valuePT1, 843)
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is.Equal(result.valuePT2, 1017)
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}
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107
search.go
107
search.go
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@ -67,22 +67,26 @@ func (s *stack[T]) Pop() T {
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// ManhattanDistance the distance between two points measured along axes at right angles.
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func ManhattanDistance[T integer](a, b Point[T]) T {
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return ABS(a[1]-b[1]) + ABS(a[0]-b[0])
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return ABS(a[0]-b[0]) + ABS(a[1]-b[1])
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}
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type pather[C number, N comparable] interface {
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// Neighbors returns all neighbors to node N that should be considered next.
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Neighbors(N) []N
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// Cost returns
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Cost(a, b N) C
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// Target returns true when target reached. receives node and cost.
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Target(N, C) bool
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// OPTIONAL:
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// Add heuristic for running as A* search.
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// Potential(a, b N) C
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// Potential(N) C
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// Seen modify value used by seen pruning.
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// Seen(N) N
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// Target returns true if target reached.
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// Target(N) bool
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}
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// FindPath uses the A* path finding algorithem.
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@ -93,9 +97,18 @@ type pather[C number, N comparable] interface {
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//
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// start, end are nodes that dileniate the start and end of the search path.
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// The returned values are the calculated cost and the path taken from start to end.
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func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N) {
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func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N, map[N]C) {
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var zero C
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closed := make(map[N]bool)
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var seenFn = func(a N) N { return a }
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if s, ok := g.(interface{ Seen(N) N }); ok {
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seenFn = s.Seen
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}
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var potentialFn = func(N) C { var zero C; return zero }
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if p, ok := g.(interface{ Potential(N) C }); ok {
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potentialFn = p.Potential
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}
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type node struct {
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cost C
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@ -104,7 +117,7 @@ func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N) {
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position N
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}
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NewPath := func(n *node) []N {
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newPath := func(n *node) []N {
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var path []N
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for n.parent != nil {
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path = append(path, n.position)
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@ -117,65 +130,45 @@ func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N) {
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}
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less := func(a, b node) bool {
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return b.cost+b.potential < a.cost+a.potential
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return b.cost+b.potential < a.cost+a.potential
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}
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pq := PriorityQueue(less)
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pq.Enqueue(node{position: start})
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closed[start] = false
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closed := make(map[N]C)
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open := PriorityQueue(less)
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defer func() {
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Log("queue max depth = ", pq.maxDepth, "total enqueue = ", pq.totalEnqueue, "total dequeue = ", pq.totalDequeue)
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}()
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open.Enqueue(node{position: start, potential: potentialFn(start)})
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closed[start] = zero
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var seenFn = func(a N) N { return a }
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if s, ok := g.(interface{ Seen(N) N }); ok {
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seenFn = s.Seen
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}
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// defer func() {
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// Log(
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// "queue max depth = ", open.maxDepth,
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// "total enqueue = ", open.totalEnqueue,
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// "total dequeue = ", open.totalDequeue,
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// "total closed = ", len(closed),
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// )
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// }()
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var targetFn = func(a N) bool { return true }
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if s, ok := g.(interface{ Target(N) bool }); ok {
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targetFn = s.Target
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}
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var potentialFn = func(a, b N) C { var zero C; return zero }
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if s, ok := g.(interface{ Potential(a, b N) C }); ok {
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potentialFn = s.Potential
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}
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for !pq.IsEmpty() {
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current, _ := pq.Dequeue()
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cost, potential, n := current.cost, current.potential, current.position
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seen := seenFn(n)
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if closed[seen] {
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continue
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}
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closed[seen] = true
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if cost > 0 && potential == zero && targetFn(current.position) {
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return cost, NewPath(¤t)
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}
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for _, nb := range g.Neighbors(n) {
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seen := seenFn(nb)
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if closed[seen] {
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continue
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}
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cost := g.Cost(n, nb) + current.cost
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nextPath := node{
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for !open.IsEmpty() {
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current, _ := open.Dequeue()
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for _, nb := range g.Neighbors(current.position) {
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next := node{
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position: nb,
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parent: ¤t,
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cost: cost,
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potential: potentialFn(nb, end),
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cost: g.Cost(current.position, nb) + current.cost,
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potential: potentialFn(nb),
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}
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// check if path is in open list
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if _, open := closed[seen]; !open {
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pq.Enqueue(nextPath)
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closed[seen] = false // add to open list
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seen := seenFn(nb)
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cost, ok := closed[seen]
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if !ok || next.cost < cost {
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open.Enqueue(next)
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closed[seen] = next.cost
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}
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if next.potential == zero && g.Target(next.position, next.cost) {
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return next.cost, newPath(&next), closed
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}
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}
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}
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return zero, nil
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return zero, nil, closed
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}
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