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graphs #21

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xuu merged 4 commits from graphs into main 2024-01-09 13:56:12 -07:00
Conversation 0 Commits 4 Files Changed 7 +102 -86
3 changed files with 102 additions and 86 deletions
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63
day17/main.go
View File

@ -119,6 +119,7 @@ func (g *graph) Neighbors(current position) []position {
if forward := current.step(); current.steps < g.max && g.m.Valid(forward.loc) {
nbs = append(nbs, forward)
}
return nbs
}
@ -130,12 +131,13 @@ func (g *graph) Cost(a, b position) int16 {
}
// Potential calculates distance to target
// func (g *graph) Potential(a, b position) int16 {
// return aoc.ManhattanDistance(a.loc, b.loc)
// }
func (g *graph) Potential(a position) int16 {
return aoc.ManhattanDistance(a.loc, g.target)
}
func (g *graph) Target(a position) bool {
if a.loc == g.target && a.steps >= g.min {
// Target returns true when target reached. receives node and cost.
func (g *graph) Target(a position, c int16) bool {
if a.loc == g.target && a.steps >= g.min && a.steps <= g.max {
return true
}
return false
@ -143,12 +145,12 @@ func (g *graph) Target(a position) bool {
// Seen attempt at simplifying the seen to use horizontal/vertical and no steps.
// It returns correct for part1 but not part 2..
// func (g *graph) Seen(a position) position {
// if g.seenFn != nil {
// return g.seenFn(a)
// }
// return a
// }
func (g *graph) Seen(a position) position {
if g.seenFn != nil {
return g.seenFn(a)
}
return a
}
func seenFn(a position) position {
if a.direction == U {
@ -157,7 +159,7 @@ func seenFn(a position) position {
if a.direction == L {
a.direction = R
}
a.steps = 0
// a.steps = 0
return a
}
@ -167,30 +169,51 @@ func search(m Map, minSteps, maxSteps int8, seenFn func(position) position) int
target := Point{rows - 1, cols - 1}
g := graph{min: minSteps, max: maxSteps, m: m, target: target, seenFn: seenFn}
cost, path := aoc.FindPath[int16, position](&g, position{loc: start}, position{loc: target})
cost, path, closed := aoc.FindPath[int16, position](&g, position{loc: start}, position{loc: target})
log("total map reads = ", g.reads)
printGraph(m, path)
log("total map reads = ", g.reads, "cost = ", cost)
printGraph(m, path, closed, g.seenFn)
return int(cost)
}
// printGraph with the path overlay
func printGraph(m Map, path []position) {
// printGraph with the path/cost overlay
func printGraph(m Map, path []position, closed map[position]int16, seenFn func(a position) position) {
pts := make(map[Point]position, len(path))
for _, pt := range path {
pts[pt.loc] = pt
}
clpt := make(map[position]position, len(closed))
for pt := range closed {
clpt[position{loc: pt.loc, steps: pt.steps}] = pt
}
for r, row := range m {
if r == 0 {
for c := range row {
if c == 0 {
fmt.Print(" ")
}
fmt.Printf("% 5d", c)
}
fmt.Println("")
}
for c := range row {
if _, ok := pts[Point{int16(r), int16(c)}]; ok {
fmt.Print("*")
if c == 0 {
fmt.Printf("% 5d", r)
}
if pt, ok := pts[Point{int16(r), int16(c)}]; ok {
if seenFn != nil {
pt = seenFn(pt)
}
fmt.Printf("% 5d", closed[pt])
continue
}
fmt.Print(".")
fmt.Print(" ....")
}
fmt.Println("")
}

18
day17/main_test.go
View File

@ -28,14 +28,14 @@ func TestExample(t *testing.T) {
is.Equal(result.valuePT2, 94)
}
// func TestSolution(t *testing.T) {
// is := is.New(t)
// scan := bufio.NewScanner(bytes.NewReader(input))
func TestSolution(t *testing.T) {
is := is.New(t)
scan := bufio.NewScanner(bytes.NewReader(input))
// result, err := run(scan)
// is.NoErr(err)
result, err := run(scan)
is.NoErr(err)
// t.Log(result)
// is.Equal(result.valuePT1, 843)
// is.Equal(result.valuePT2, 1017)
// }
t.Log(result)
is.Equal(result.valuePT1, 843)
is.Equal(result.valuePT2, 1017)
}

107
search.go
View File

@ -67,22 +67,26 @@ func (s *stack[T]) Pop() T {
// ManhattanDistance the distance between two points measured along axes at right angles.
func ManhattanDistance[T integer](a, b Point[T]) T {
return ABS(a[1]-b[1]) + ABS(a[0]-b[0])
return ABS(a[0]-b[0]) + ABS(a[1]-b[1])
}
type pather[C number, N comparable] interface {
// Neighbors returns all neighbors to node N that should be considered next.
Neighbors(N) []N
// Cost returns
Cost(a, b N) C
// Target returns true when target reached. receives node and cost.
Target(N, C) bool
// OPTIONAL:
// Add heuristic for running as A* search.
// Potential(a, b N) C
// Potential(N) C
// Seen modify value used by seen pruning.
// Seen(N) N
// Target returns true if target reached.
// Target(N) bool
}
// FindPath uses the A* path finding algorithem.
@ -93,9 +97,18 @@ type pather[C number, N comparable] interface {
//
// start, end are nodes that dileniate the start and end of the search path.
// The returned values are the calculated cost and the path taken from start to end.
func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N) {
func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N, map[N]C) {
var zero C
closed := make(map[N]bool)
var seenFn = func(a N) N { return a }
if s, ok := g.(interface{ Seen(N) N }); ok {
seenFn = s.Seen
}
var potentialFn = func(N) C { var zero C; return zero }
if p, ok := g.(interface{ Potential(N) C }); ok {
potentialFn = p.Potential
}
type node struct {
cost C
@ -104,7 +117,7 @@ func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N) {
position N
}
NewPath := func(n *node) []N {
newPath := func(n *node) []N {
var path []N
for n.parent != nil {
path = append(path, n.position)
@ -117,65 +130,45 @@ func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N) {
}
less := func(a, b node) bool {
return b.cost+b.potential < a.cost+a.potential
return b.cost+b.potential < a.cost+a.potential
}
pq := PriorityQueue(less)
pq.Enqueue(node{position: start})
closed[start] = false
closed := make(map[N]C)
open := PriorityQueue(less)
defer func() {
Log("queue max depth = ", pq.maxDepth, "total enqueue = ", pq.totalEnqueue, "total dequeue = ", pq.totalDequeue)
}()
open.Enqueue(node{position: start, potential: potentialFn(start)})
closed[start] = zero
var seenFn = func(a N) N { return a }
if s, ok := g.(interface{ Seen(N) N }); ok {
seenFn = s.Seen
}
// defer func() {
// Log(
// "queue max depth = ", open.maxDepth,
// "total enqueue = ", open.totalEnqueue,
// "total dequeue = ", open.totalDequeue,
// "total closed = ", len(closed),
// )
// }()
var targetFn = func(a N) bool { return true }
if s, ok := g.(interface{ Target(N) bool }); ok {
targetFn = s.Target
}
var potentialFn = func(a, b N) C { var zero C; return zero }
if s, ok := g.(interface{ Potential(a, b N) C }); ok {
potentialFn = s.Potential
}
for !pq.IsEmpty() {
current, _ := pq.Dequeue()
cost, potential, n := current.cost, current.potential, current.position
seen := seenFn(n)
if closed[seen] {
continue
}
closed[seen] = true
if cost > 0 && potential == zero && targetFn(current.position) {
return cost, NewPath(&current)
}
for _, nb := range g.Neighbors(n) {
seen := seenFn(nb)
if closed[seen] {
continue
}
cost := g.Cost(n, nb) + current.cost
nextPath := node{
for !open.IsEmpty() {
current, _ := open.Dequeue()
for _, nb := range g.Neighbors(current.position) {
next := node{
position: nb,
parent: &current,
cost: cost,
potential: potentialFn(nb, end),
cost: g.Cost(current.position, nb) + current.cost,
potential: potentialFn(nb),
}
// check if path is in open list
if _, open := closed[seen]; !open {
pq.Enqueue(nextPath)
closed[seen] = false // add to open list
seen := seenFn(nb)
cost, ok := closed[seen]
if !ok || next.cost < cost {
open.Enqueue(next)
closed[seen] = next.cost
}
if next.potential == zero && g.Target(next.position, next.cost) {
return next.cost, newPath(&next), closed
}
}
}
return zero, nil
return zero, nil, closed
}