Вот решение, которое использует стек для прохождения в глубину. Он оптимизирован для хвостового вызова, поэтому не будет страдать от переполнения стека. ОП также попросил повторно использовать старые кэшированные значения, чтобы карта использовалась для запоминания.
object CachedValueTest2 {
def main(args: Array[String]) = {
val expr1 = Add(Add(Constant(1), Add(Variable(1), Constant(1))), Add(Constant(2), Constant(2)))
println(extend(expr1))
val expr2 = Add(Add(Constant(1), Add(Add(Variable(2), Constant(1)), Constant(1))), Add(Constant(2), Add(Variable(1), Constant(2))))
println(extend(expr2))
}
def extend(value: Value): UsingCache = {
def replace(input: Value, stack: List[(Add, Option[UsingCache], Option[UsingCache])], map: Map[Value, UsingCache]): UsingCache = {
input match {
case in @ Constant(d) =>
val (v, newMap) = map.get(in) match {
case Some(entry) => (entry, map)
case None =>
val entry = new Constant(d) with UsingCache
(entry, map + (in -> entry))
}
popStack(v, stack, newMap)
case in @ Variable(i) =>
val (v, newMap) = map.get(in) match {
case Some(entry) => (entry, map)
case None =>
val entry = new Variable(i) with UsingCache
(entry, map + (in -> entry))
}
popStack(v, stack, newMap)
case in @ Add(v1, v2) =>
map.get(in) match {
case Some(entry) => entry
case None => replace(v1, (in, None, None) :: stack, map)
}
}
}
def popStack(input: UsingCache, stack: List[(Add, Option[UsingCache], Option[UsingCache])], map: Map[Value, UsingCache]): UsingCache = {
stack match {
case head :: tail =>
head match {
case (add, None, None) =>
replace(add.v2, (add, Some(input), None) :: tail, map)
case (add, Some(v1), None) =>
val v = new Add(v1, input) with UsingCache
val newMap = map + (add -> v)
popStack(v, tail, newMap)
}
case Nil => input
}
}
replace(value, List(), Map())
}
abstract class Value {
def basicEvaluate(varArray: Array[Double]): Double
def evaluate(varArray: Array[Double]) = basicEvaluate(varArray)
}
case class Constant(d: Double) extends Value {
override def basicEvaluate(varArray: Array[Double]) = d
}
case class Variable(i: Int) extends Value {
override def basicEvaluate(varArray: Array[Double]) = varArray(i)
}
case class Add(v1: Value, v2: Value) extends Value {
override def basicEvaluate(varArray: Array[Double]) = v1.evaluate(varArray) + v2.evaluate(varArray)
}
trait UsingCache extends Value {
var caches : Map[Array[Double], Double] = Map()
override def evaluate(varArray: Array[Double]) = {
caches.get(varArray) match {
case Some(result) =>
result
case None =>
val result = basicEvaluate(varArray)
caches = caches + (varArray -> result)
result
}
}
}
}