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/*
* Scala (https://www.scala-lang.org)
*
* Copyright EPFL and Lightbend, Inc.
*
* Licensed under Apache License 2.0
* (http://www.apache.org/licenses/LICENSE-2.0).
*
* See the NOTICE file distributed with this work for
* additional information regarding copyright ownership.
*/
package scala
package collection
package immutable
import java.io.{ObjectInputStream, ObjectOutputStream}
import java.lang.{StringBuilder => JStringBuilder}
import scala.annotation.tailrec
import scala.collection.generic.SerializeEnd
import scala.collection.mutable.{ArrayBuffer, Builder, ReusableBuilder, StringBuilder}
import scala.language.implicitConversions
import scala.runtime.Statics
/** This class implements an immutable linked list. We call it "lazy"
* because it computes its elements only when they are needed.
*
* Elements are memoized; that is, the value of each element is computed at most once.
*
* Elements are computed in-order and are never skipped. In other words,
* accessing the tail causes the head to be computed first.
*
* How lazy is a `LazyList`? When you have a value of type `LazyList`, you
* don't know yet whether the list is empty or not. If you learn that it is non-empty,
* then you also know that the head has been computed. But the tail is itself
* a `LazyList`, whose emptiness-or-not might remain undetermined.
*
* A `LazyList` may be infinite. For example, `LazyList.from(0)` contains
* all of the natural numbers 0, 1, 2, and so on. For infinite sequences,
* some methods (such as `count`, `sum`, `max` or `min`) will not terminate.
*
* Here is an example:
*
* {{{
* import scala.math.BigInt
* object Main extends App {
* val fibs: LazyList[BigInt] =
* BigInt(0) #:: BigInt(1) #:: fibs.zip(fibs.tail).map{ n => n._1 + n._2 }
* fibs.take(5).foreach(println)
* }
*
* // prints
* //
* // 0
* // 1
* // 1
* // 2
* // 3
* }}}
*
* To illustrate, let's add some output to the definition `fibs`, so we
* see what's going on.
*
* {{{
* import scala.math.BigInt
* object Main extends App {
* val fibs: LazyList[BigInt] =
* BigInt(0) #:: BigInt(1) #::
* fibs.zip(fibs.tail).map{ n =>
* println(s"Adding ${n._1} and ${n._2}")
* n._1 + n._2
* }
* fibs.take(5).foreach(println)
* fibs.take(6).foreach(println)
* }
*
* // prints
* //
* // 0
* // 1
* // Adding 0 and 1
* // 1
* // Adding 1 and 1
* // 2
* // Adding 1 and 2
* // 3
*
* // And then prints
* //
* // 0
* // 1
* // 1
* // 2
* // 3
* // Adding 2 and 3
* // 5
* }}}
*
* Note that the definition of `fibs` uses `val` not `def`. The memoization of the
* `LazyList` requires us to have somewhere to store the information and a `val`
* allows us to do that.
*
* Further remarks about the semantics of `LazyList`:
*
* - Though the `LazyList` changes as it is accessed, this does not
* contradict its immutability. Once the values are memoized they do
* not change. Values that have yet to be memoized still "exist", they
* simply haven't been computed yet.
*
* - One must be cautious of memoization; it can eat up memory if you're not
* careful. That's because memoization of the `LazyList` creates a structure much like
* [[scala.collection.immutable.List]]. As long as something is holding on to
* the head, the head holds on to the tail, and so on recursively.
* If, on the other hand, there is nothing holding on to the head (e.g. if we used
* `def` to define the `LazyList`) then once it is no longer being used directly,
* it disappears.
*
* - Note that some operations, including [[drop]], [[dropWhile]],
* [[flatMap]] or [[collect]] may process a large number of intermediate
* elements before returning.
*
* Here's another example. Let's start with the natural numbers and iterate
* over them.
*
* {{{
* // We'll start with a silly iteration
* def loop(s: String, i: Int, iter: Iterator[Int]): Unit = {
* // Stop after 200,000
* if (i < 200001) {
* if (i % 50000 == 0) println(s + i)
* loop(s, iter.next(), iter)
* }
* }
*
* // Our first LazyList definition will be a val definition
* val lazylist1: LazyList[Int] = {
* def loop(v: Int): LazyList[Int] = v #:: loop(v + 1)
* loop(0)
* }
*
* // Because lazylist1 is a val, everything that the iterator produces is held
* // by virtue of the fact that the head of the LazyList is held in lazylist1
* val it1 = lazylist1.iterator
* loop("Iterator1: ", it1.next(), it1)
*
* // We can redefine this LazyList such that all we have is the Iterator left
* // and allow the LazyList to be garbage collected as required. Using a def
* // to provide the LazyList ensures that no val is holding onto the head as
* // is the case with lazylist1
* def lazylist2: LazyList[Int] = {
* def loop(v: Int): LazyList[Int] = v #:: loop(v + 1)
* loop(0)
* }
* val it2 = lazylist2.iterator
* loop("Iterator2: ", it2.next(), it2)
*
* // And, of course, we don't actually need a LazyList at all for such a simple
* // problem. There's no reason to use a LazyList if you don't actually need
* // one.
* val it3 = new Iterator[Int] {
* var i = -1
* def hasNext = true
* def next(): Int = { i += 1; i }
* }
* loop("Iterator3: ", it3.next(), it3)
* }}}
*
* - In the `fibs` example earlier, the fact that `tail` works at all is of interest.
* `fibs` has an initial `(0, 1, LazyList(...))`, so `tail` is deterministic.
* If we defined `fibs` such that only `0` were concretely known, then the act
* of determining `tail` would require the evaluation of `tail`, so the
* computation would be unable to progress, as in this code:
* {{{
* // The first time we try to access the tail we're going to need more
* // information which will require us to recurse, which will require us to
* // recurse, which...
* lazy val sov: LazyList[Vector[Int]] = Vector(0) #:: sov.zip(sov.tail).map { n => n._1 ++ n._2 }
* }}}
*
* The definition of `fibs` above creates a larger number of objects than
* necessary depending on how you might want to implement it. The following
* implementation provides a more "cost effective" implementation due to the
* fact that it has a more direct route to the numbers themselves:
*
* {{{
* lazy val fib: LazyList[Int] = {
* def loop(h: Int, n: Int): LazyList[Int] = h #:: loop(n, h + n)
* loop(1, 1)
* }
* }}}
*
* The head, the tail and whether the list is empty or not can be initially unknown.
* Once any of those are evaluated, they are all known, though if the tail is
* built with `#::` or `#:::`, it's content still isn't evaluated. Instead, evaluating
* the tails content is deferred until the tails empty status, head or tail is
* evaluated.
*
* Delaying the evaluation of whether a LazyList is empty or not until it's needed
* allows LazyList to not eagerly evaluate any elements on a call to `filter`.
*
* Only when it's further evaluated (which may be never!) any of the elements gets
* forced.
*
* for example:
*
* {{{
* def tailWithSideEffect: LazyList[Nothing] = {
* println("getting empty LazyList")
* LazyList.empty
* }
*
* val emptyTail = tailWithSideEffect // prints "getting empty LazyList"
*
* val suspended = 1 #:: tailWithSideEffect // doesn't print anything
* val tail = suspended.tail // although the tail is evaluated, *still* nothing is yet printed
* val filtered = tail.filter(_ => false) // still nothing is printed
* filtered.isEmpty // prints "getting empty LazyList"
* }}}
*
* @tparam A the type of the elements contained in this lazy list.
*
* @see [[http://docs.scala-lang.org/overviews/collections/concrete-immutable-collection-classes.html#lazylists "Scala's Collection Library overview"]]
* section on `LazyLists` for more information.
* @define Coll `LazyList`
* @define coll lazy list
* @define orderDependent
* @define orderDependentFold
* @define appendStackSafety Note: Repeated chaining of calls to append methods (`appended`,
* `appendedAll`, `lazyAppendedAll`) without forcing any of the
* intermediate resulting lazy lists may overflow the stack when
* the final result is forced.
* @define preservesLaziness This method preserves laziness; elements are only evaluated
* individually as needed.
* @define initiallyLazy This method does not evaluate anything until an operation is performed
* on the result (e.g. calling `head` or `tail`, or checking if it is empty).
* @define evaluatesAllElements This method evaluates all elements of the collection.
*/
@SerialVersionUID(3L)
final class LazyList[+A] private(private[this] var lazyState: () => LazyList.State[A])
extends AbstractSeq[A]
with LinearSeq[A]
with LinearSeqOps[A, LazyList, LazyList[A]]
with IterableFactoryDefaults[A, LazyList]
with Serializable {
import LazyList._
@volatile private[this] var stateEvaluated: Boolean = false
@inline private def stateDefined: Boolean = stateEvaluated
private[this] var midEvaluation = false
private lazy val state: State[A] = {
// if it's already mid-evaluation, we're stuck in an infinite
// self-referential loop (also it's empty)
if (midEvaluation) {
throw new RuntimeException("self-referential LazyList or a derivation thereof has no more elements")
}
midEvaluation = true
val res = try lazyState() finally midEvaluation = false
// if we set it to `true` before evaluating, we may infinite loop
// if something expects `state` to already be evaluated
stateEvaluated = true
lazyState = null // allow GC
res
}
override def iterableFactory: SeqFactory[LazyList] = LazyList
override def isEmpty: Boolean = state eq State.Empty
/** @inheritdoc
*
* $preservesLaziness
*/
override def knownSize: Int = if (knownIsEmpty) 0 else -1
override def head: A = state.head
override def tail: LazyList[A] = state.tail
@inline private[this] def knownIsEmpty: Boolean = stateEvaluated && (isEmpty: @inline)
@inline private def knownNonEmpty: Boolean = stateEvaluated && !(isEmpty: @inline)
/** Evaluates all undefined elements of the lazy list.
*
* This method detects cycles in lazy lists, and terminates after all
* elements of the cycle are evaluated. For example:
*
* {{{
* val ring: LazyList[Int] = 1 #:: 2 #:: 3 #:: ring
* ring.force
* ring.toString
*
* // prints
* //
* // LazyList(1, 2, 3, ...)
* }}}
*
* This method will *not* terminate for non-cyclic infinite-sized collections.
*
* @return this
*/
def force: this.type = {
// Use standard 2x 1x iterator trick for cycle detection ("those" is slow one)
var these, those: LazyList[A] = this
if (!these.isEmpty) {
these = these.tail
}
while (those ne these) {
if (these.isEmpty) return this
these = these.tail
if (these.isEmpty) return this
these = these.tail
if (these eq those) return this
those = those.tail
}
this
}
/** @inheritdoc
*
* The iterator returned by this method preserves laziness; elements are
* only evaluated individually as needed.
*/
override def iterator: Iterator[A] =
if (knownIsEmpty) Iterator.empty
else new LazyIterator(this)
/** Apply the given function `f` to each element of this linear sequence
* (while respecting the order of the elements).
*
* @param f The treatment to apply to each element.
* @note Overridden here as final to trigger tail-call optimization, which
* replaces 'this' with 'tail' at each iteration. This is absolutely
* necessary for allowing the GC to collect the underlying LazyList as elements
* are consumed.
* @note This function will force the realization of the entire LazyList
* unless the `f` throws an exception.
*/
@tailrec
override def foreach[U](f: A => U): Unit = {
if (!isEmpty) {
f(head)
tail.foreach(f)
}
}
/** LazyList specialization of foldLeft which allows GC to collect along the
* way.
*
* @tparam B The type of value being accumulated.
* @param z The initial value seeded into the function `op`.
* @param op The operation to perform on successive elements of the `LazyList`.
* @return The accumulated value from successive applications of `op`.
*/
@tailrec
override def foldLeft[B](z: B)(op: (B, A) => B): B =
if (isEmpty) z
else tail.foldLeft(op(z, head))(op)
// State.Empty doesn't use the SerializationProxy
protected[this] def writeReplace(): AnyRef =
if (knownNonEmpty) new LazyList.SerializationProxy[A](this) else this
override protected[this] def className = "LazyList"
/** The lazy list resulting from the concatenation of this lazy list with the argument lazy list.
*
* $preservesLaziness
*
* $appendStackSafety
*
* @param suffix The collection that gets appended to this lazy list
* @return The lazy list containing elements of this lazy list and the iterable object.
*/
def lazyAppendedAll[B >: A](suffix: => collection.IterableOnce[B]): LazyList[B] =
newLL {
if (isEmpty) suffix match {
case lazyList: LazyList[B] => lazyList.state // don't recompute the LazyList
case coll if coll.knownSize == 0 => State.Empty
case coll => stateFromIterator(coll.iterator)
}
else sCons(head, tail lazyAppendedAll suffix)
}
/** @inheritdoc
*
* $preservesLaziness
*
* $appendStackSafety
*/
override def appendedAll[B >: A](suffix: IterableOnce[B]): LazyList[B] =
if (knownIsEmpty) LazyList.from(suffix)
else lazyAppendedAll(suffix)
/** @inheritdoc
*
* $preservesLaziness
*
* $appendStackSafety
*/
override def appended[B >: A](elem: B): LazyList[B] =
if (knownIsEmpty) newLL(sCons(elem, LazyList.empty))
else lazyAppendedAll(Iterator.single(elem))
/** @inheritdoc
*
* $evaluatesAllElements
*/
override def equals(that: Any): Boolean =
if (this eq that.asInstanceOf[AnyRef]) true else super.equals(that)
/** @inheritdoc
*
* $preservesLaziness
*/
override def scanLeft[B](z: B)(op: (B, A) => B): LazyList[B] =
if (knownIsEmpty) newLL(sCons(z, LazyList.empty))
else newLL(scanLeftState(z)(op))
private def scanLeftState[B](z: B)(op: (B, A) => B): State[B] =
sCons(
z,
newLL {
if (isEmpty) State.Empty
else tail.scanLeftState(op(z, head))(op)
}
)
/** LazyList specialization of reduceLeft which allows GC to collect
* along the way.
*
* @tparam B The type of value being accumulated.
* @param f The operation to perform on successive elements of the `LazyList`.
* @return The accumulated value from successive applications of `f`.
*/
override def reduceLeft[B >: A](f: (B, A) => B): B = {
if (this.isEmpty) throw new UnsupportedOperationException("empty.reduceLeft")
else {
var reducedRes: B = this.head
var left: LazyList[A] = this.tail
while (!left.isEmpty) {
reducedRes = f(reducedRes, left.head)
left = left.tail
}
reducedRes
}
}
/** @inheritdoc
*
* $preservesLaziness
*/
override def partition(p: A => Boolean): (LazyList[A], LazyList[A]) = (filter(p), filterNot(p))
/** @inheritdoc
*
* $preservesLaziness
*/
override def partitionMap[A1, A2](f: A => Either[A1, A2]): (LazyList[A1], LazyList[A2]) = {
val (left, right) = map(f).partition(_.isLeft)
(left.map(_.asInstanceOf[Left[A1, _]].value), right.map(_.asInstanceOf[Right[_, A2]].value))
}
/** @inheritdoc
*
* $preservesLaziness
*/
override def filter(pred: A => Boolean): LazyList[A] =
if (knownIsEmpty) LazyList.empty
else LazyList.filterImpl(this, pred, isFlipped = false)
/** @inheritdoc
*
* $preservesLaziness
*/
override def filterNot(pred: A => Boolean): LazyList[A] =
if (knownIsEmpty) LazyList.empty
else LazyList.filterImpl(this, pred, isFlipped = true)
/** A `collection.WithFilter` which allows GC of the head of lazy list during processing.
*
* This method is not particularly useful for a lazy list, as [[filter]] already preserves
* laziness.
*
* The `collection.WithFilter` returned by this method preserves laziness; elements are
* only evaluated individually as needed.
*/
override def withFilter(p: A => Boolean): collection.WithFilter[A, LazyList] =
new LazyList.WithFilter(coll, p)
/** @inheritdoc
*
* $preservesLaziness
*/
override def prepended[B >: A](elem: B): LazyList[B] = newLL(sCons(elem, this))
/** @inheritdoc
*
* $preservesLaziness
*/
override def prependedAll[B >: A](prefix: collection.IterableOnce[B]): LazyList[B] =
if (knownIsEmpty) LazyList.from(prefix)
else if (prefix.knownSize == 0) this
else newLL(stateFromIteratorConcatSuffix(prefix.iterator)(state))
/** @inheritdoc
*
* $preservesLaziness
*/
override def map[B](f: A => B): LazyList[B] =
if (knownIsEmpty) LazyList.empty
else (mapImpl(f): @inline)
/** @inheritdoc
*
* $preservesLaziness
*/
override def tapEach[U](f: A => U): LazyList[A] = map { a => f(a); a }
private def mapImpl[B](f: A => B): LazyList[B] =
newLL {
if (isEmpty) State.Empty
else sCons(f(head), tail.mapImpl(f))
}
/** @inheritdoc
*
* $preservesLaziness
*/
override def collect[B](pf: PartialFunction[A, B]): LazyList[B] =
if (knownIsEmpty) LazyList.empty
else LazyList.collectImpl(this, pf)
/** @inheritdoc
*
* This method does not evaluate any elements further than
* the first element for which the partial function is defined.
*/
@tailrec
override def collectFirst[B](pf: PartialFunction[A, B]): Option[B] =
if (isEmpty) None
else {
val res = pf.applyOrElse(head, LazyList.anyToMarker.asInstanceOf[A => B])
if (res.asInstanceOf[AnyRef] eq Statics.pfMarker) tail.collectFirst(pf)
else Some(res)
}
/** @inheritdoc
*
* This method does not evaluate any elements further than
* the first element matching the predicate.
*/
@tailrec
override def find(p: A => Boolean): Option[A] =
if (isEmpty) None
else {
val elem = head
if (p(elem)) Some(elem)
else tail.find(p)
}
/** @inheritdoc
*
* $preservesLaziness
*/
// optimisations are not for speed, but for functionality
// see tickets #153, #498, #2147, and corresponding tests in run/ (as well as run/stream_flatmap_odds.scala)
override def flatMap[B](f: A => IterableOnce[B]): LazyList[B] =
if (knownIsEmpty) LazyList.empty
else LazyList.flatMapImpl(this, f)
/** @inheritdoc
*
* $preservesLaziness
*/
override def flatten[B](implicit asIterable: A => IterableOnce[B]): LazyList[B] = flatMap(asIterable)
/** @inheritdoc
*
* $preservesLaziness
*/
override def zip[B](that: collection.IterableOnce[B]): LazyList[(A, B)] =
if (this.knownIsEmpty || that.knownSize == 0) LazyList.empty
else newLL(zipState(that.iterator))
private def zipState[B](it: Iterator[B]): State[(A, B)] =
if (this.isEmpty || !it.hasNext) State.Empty
else sCons((head, it.next()), newLL { tail zipState it })
/** @inheritdoc
*
* $preservesLaziness
*/
override def zipWithIndex: LazyList[(A, Int)] = this zip LazyList.from(0)
/** @inheritdoc
*
* $preservesLaziness
*/
override def zipAll[A1 >: A, B](that: collection.Iterable[B], thisElem: A1, thatElem: B): LazyList[(A1, B)] = {
if (this.knownIsEmpty) {
if (that.knownSize == 0) LazyList.empty
else LazyList.continually(thisElem) zip that
} else {
if (that.knownSize == 0) zip(LazyList.continually(thatElem))
else newLL(zipAllState(that.iterator, thisElem, thatElem))
}
}
private def zipAllState[A1 >: A, B](it: Iterator[B], thisElem: A1, thatElem: B): State[(A1, B)] = {
if (it.hasNext) {
if (this.isEmpty) sCons((thisElem, it.next()), newLL { LazyList.continually(thisElem) zipState it })
else sCons((this.head, it.next()), newLL { this.tail.zipAllState(it, thisElem, thatElem) })
} else {
if (this.isEmpty) State.Empty
else sCons((this.head, thatElem), this.tail zip LazyList.continually(thatElem))
}
}
/** @inheritdoc
*
* This method is not particularly useful for a lazy list, as [[zip]] already preserves
* laziness.
*
* The `collection.LazyZip2` returned by this method preserves laziness; elements are
* only evaluated individually as needed.
*/
// just in case it can be meaningfully overridden at some point
override def lazyZip[B](that: collection.Iterable[B]): LazyZip2[A, B, LazyList.this.type] =
super.lazyZip(that)
/** @inheritdoc
*
* $preservesLaziness
*/
override def unzip[A1, A2](implicit asPair: A => (A1, A2)): (LazyList[A1], LazyList[A2]) =
(map(asPair(_)._1), map(asPair(_)._2))
/** @inheritdoc
*
* $preservesLaziness
*/
override def unzip3[A1, A2, A3](implicit asTriple: A => (A1, A2, A3)): (LazyList[A1], LazyList[A2], LazyList[A3]) =
(map(asTriple(_)._1), map(asTriple(_)._2), map(asTriple(_)._3))
/** @inheritdoc
*
* $initiallyLazy
* Additionally, it preserves laziness for all except the first `n` elements.
*/
override def drop(n: Int): LazyList[A] =
if (n <= 0) this
else if (knownIsEmpty) LazyList.empty
else LazyList.dropImpl(this, n)
/** @inheritdoc
*
* $initiallyLazy
* Additionally, it preserves laziness for all elements after the predicate returns `false`.
*/
override def dropWhile(p: A => Boolean): LazyList[A] =
if (knownIsEmpty) LazyList.empty
else LazyList.dropWhileImpl(this, p)
/** @inheritdoc
*
* $initiallyLazy
*/
override def dropRight(n: Int): LazyList[A] = {
if (n <= 0) this
else if (knownIsEmpty) LazyList.empty
else newLL {
var scout = this
var remaining = n
// advance scout n elements ahead (or until empty)
while (remaining > 0 && !scout.isEmpty) {
remaining -= 1
scout = scout.tail
}
dropRightState(scout)
}
}
private def dropRightState(scout: LazyList[_]): State[A] =
if (scout.isEmpty) State.Empty
else sCons(head, newLL(tail.dropRightState(scout.tail)))
/** @inheritdoc
*
* $preservesLaziness
*/
override def take(n: Int): LazyList[A] =
if (knownIsEmpty) LazyList.empty
else (takeImpl(n): @inline)
private def takeImpl(n: Int): LazyList[A] = {
if (n <= 0) LazyList.empty
else newLL {
if (isEmpty) State.Empty
else sCons(head, tail.takeImpl(n - 1))
}
}
/** @inheritdoc
*
* $preservesLaziness
*/
override def takeWhile(p: A => Boolean): LazyList[A] =
if (knownIsEmpty) LazyList.empty
else (takeWhileImpl(p): @inline)
private def takeWhileImpl(p: A => Boolean): LazyList[A] =
newLL {
if (isEmpty || !p(head)) State.Empty
else sCons(head, tail.takeWhileImpl(p))
}
/** @inheritdoc
*
* $initiallyLazy
*/
override def takeRight(n: Int): LazyList[A] =
if (n <= 0 || knownIsEmpty) LazyList.empty
else LazyList.takeRightImpl(this, n)
/** @inheritdoc
*
* $initiallyLazy
* Additionally, it preserves laziness for all but the first `from` elements.
*/
override def slice(from: Int, until: Int): LazyList[A] = take(until).drop(from)
/** @inheritdoc
*
* $evaluatesAllElements
*/
override def reverse: LazyList[A] = reverseOnto(LazyList.empty)
// need contravariant type B to make the compiler happy - still returns LazyList[A]
@tailrec
private def reverseOnto[B >: A](tl: LazyList[B]): LazyList[B] =
if (isEmpty) tl
else tail.reverseOnto(newLL(sCons(head, tl)))
/** @inheritdoc
*
* $preservesLaziness
*/
override def diff[B >: A](that: collection.Seq[B]): LazyList[A] =
if (knownIsEmpty) LazyList.empty
else super.diff(that)
/** @inheritdoc
*
* $preservesLaziness
*/
override def intersect[B >: A](that: collection.Seq[B]): LazyList[A] =
if (knownIsEmpty) LazyList.empty
else super.intersect(that)
@tailrec
private def lengthGt(len: Int): Boolean =
if (len < 0) true
else if (isEmpty) false
else tail.lengthGt(len - 1)
/** @inheritdoc
*
* The iterator returned by this method mostly preserves laziness;
* a single element ahead of the iterator is evaluated.
*/
override def grouped(size: Int): Iterator[LazyList[A]] = {
require(size > 0, "size must be positive, but was " + size)
slidingImpl(size = size, step = size)
}
/** @inheritdoc
*
* The iterator returned by this method mostly preserves laziness;
* `size - step max 1` elements ahead of the iterator are evaluated.
*/
override def sliding(size: Int, step: Int): Iterator[LazyList[A]] = {
require(size > 0 && step > 0, s"size=$size and step=$step, but both must be positive")
slidingImpl(size = size, step = step)
}
@inline private def slidingImpl(size: Int, step: Int): Iterator[LazyList[A]] =
if (knownIsEmpty) Iterator.empty
else new SlidingIterator[A](this, size = size, step = step)
/** @inheritdoc
*
* $preservesLaziness
*/
override def padTo[B >: A](len: Int, elem: B): LazyList[B] = {
if (len <= 0) this
else newLL {
if (isEmpty) LazyList.fill(len)(elem).state
else sCons(head, tail.padTo(len - 1, elem))
}
}
/** @inheritdoc
*
* $preservesLaziness
*/
override def patch[B >: A](from: Int, other: IterableOnce[B], replaced: Int): LazyList[B] =
if (knownIsEmpty) LazyList from other
else patchImpl(from, other, replaced)
private def patchImpl[B >: A](from: Int, other: IterableOnce[B], replaced: Int): LazyList[B] =
newLL {
if (from <= 0) stateFromIteratorConcatSuffix(other.iterator)(LazyList.dropImpl(this, replaced).state)
else if (isEmpty) stateFromIterator(other.iterator)
else sCons(head, tail.patchImpl(from - 1, other, replaced))
}
/** @inheritdoc
*
* $evaluatesAllElements
*/
// overridden just in case a lazy implementation is developed at some point
override def transpose[B](implicit asIterable: A => collection.Iterable[B]): LazyList[LazyList[B]] = super.transpose
/** @inheritdoc
*
* $preservesLaziness
*/
override def updated[B >: A](index: Int, elem: B): LazyList[B] =
if (index < 0) throw new IndexOutOfBoundsException(s"$index")
else updatedImpl(index, elem, index)
private def updatedImpl[B >: A](index: Int, elem: B, startIndex: Int): LazyList[B] = {
newLL {
if (index <= 0) sCons(elem, tail)
else if (tail.isEmpty) throw new IndexOutOfBoundsException(startIndex.toString)
else sCons(head, tail.updatedImpl(index - 1, elem, startIndex))
}
}
/** Appends all elements of this $coll to a string builder using start, end, and separator strings.
* The written text begins with the string `start` and ends with the string `end`.
* Inside, the string representations (w.r.t. the method `toString`)
* of all elements of this $coll are separated by the string `sep`.
*
* An undefined state is represented with `"<not computed>"` and cycles are represented with `"<cycle>"`.
*
* $evaluatesAllElements
*
* @param sb the string builder to which elements are appended.
* @param start the starting string.
* @param sep the separator string.
* @param end the ending string.
* @return the string builder `b` to which elements were appended.
*/
override def addString(sb: StringBuilder, start: String, sep: String, end: String): StringBuilder = {
force
addStringNoForce(sb.underlying, start, sep, end)
sb
}
private[this] def addStringNoForce(b: JStringBuilder, start: String, sep: String, end: String): JStringBuilder = {
b.append(start)
if (!stateDefined) b.append("")
else if (!isEmpty) {
b.append(head)
var cursor = this
@inline def appendCursorElement(): Unit = b.append(sep).append(cursor.head)
var scout = tail
@inline def scoutNonEmpty: Boolean = scout.stateDefined && !scout.isEmpty
if ((cursor ne scout) && (!scout.stateDefined || (cursor.state ne scout.state))) {
cursor = scout
if (scoutNonEmpty) {
scout = scout.tail
// Use 2x 1x iterator trick for cycle detection; slow iterator can add strings
while ((cursor ne scout) && scoutNonEmpty && (cursor.state ne scout.state)) {
appendCursorElement()
cursor = cursor.tail
scout = scout.tail
if (scoutNonEmpty) scout = scout.tail
}
}
}
if (!scoutNonEmpty) { // Not a cycle, scout hit an end
while (cursor ne scout) {
appendCursorElement()
cursor = cursor.tail
}
// if cursor (eq scout) has state defined, it is empty; else unknown state
if (!cursor.stateDefined) b.append(sep).append("")
} else {
@inline def same(a: LazyList[A], b: LazyList[A]): Boolean = (a eq b) || (a.state eq b.state)
// Cycle.
// If we have a prefix of length P followed by a cycle of length C,
// the scout will be at position (P%C) in the cycle when the cursor
// enters it at P. They'll then collide when the scout advances another
// C - (P%C) ahead of the cursor.
// If we run the scout P farther, then it will be at the start of
// the cycle: (C - (P%C) + (P%C)) == C == 0. So if another runner
// starts at the beginning of the prefix, they'll collide exactly at
// the start of the loop.
var runner = this
var k = 0
while (!same(runner, scout)) {
runner = runner.tail
scout = scout.tail
k += 1
}
// Now runner and scout are at the beginning of the cycle. Advance
// cursor, adding to string, until it hits; then we'll have covered
// everything once. If cursor is already at beginning, we'd better
// advance one first unless runner didn't go anywhere (in which case
// we've already looped once).
if (same(cursor, scout) && (k > 0)) {
appendCursorElement()
cursor = cursor.tail
}
while (!same(cursor, scout)) {
appendCursorElement()
cursor = cursor.tail
}
b.append(sep).append("")
}
}
b.append(end)
}
/** $preservesLaziness
*
* @return a string representation of this collection. An undefined state is
* represented with `"<not computed>"` and cycles are represented with `"<cycle>"`
*
* Examples:
*
* - `"LazyList(4, <not computed>)"`, a non-empty lazy list ;
* - `"LazyList(1, 2, 3, <not computed>)"`, a lazy list with at least three elements ;
* - `"LazyList(1, 2, 3, <cycle>)"`, an infinite lazy list that contains
* a cycle at the fourth element.
*/
override def toString(): String = addStringNoForce(new JStringBuilder(className), "(", ", ", ")").toString
/** @inheritdoc
*
* $preservesLaziness
*/
@deprecated("Check .knownSize instead of .hasDefiniteSize for more actionable information (see scaladoc for details)", "2.13.0")
override def hasDefiniteSize: Boolean = {
if (!stateDefined) false
else if (isEmpty) true
else {
// Two-iterator trick (2x & 1x speed) for cycle detection.
var those = this
var these = tail
while (those ne these) {
if (!these.stateDefined) return false
else if (these.isEmpty) return true
these = these.tail
if (!these.stateDefined) return false
else if (these.isEmpty) return true
these = these.tail
if (those eq these) return false
those = those.tail
}
false // Cycle detected
}
}
}
/**
* $factoryInfo
* @define coll lazy list
* @define Coll `LazyList`
*/
@SerialVersionUID(3L)
object LazyList extends SeqFactory[LazyList] {
// Eagerly evaluate cached empty instance
private[this] val _empty = newLL(State.Empty).force
private sealed trait State[+A] extends Serializable {
def head: A
def tail: LazyList[A]
}
private object State {
@SerialVersionUID(3L)
object Empty extends State[Nothing] {
def head: Nothing = throw new NoSuchElementException("head of empty lazy list")
def tail: LazyList[Nothing] = throw new UnsupportedOperationException("tail of empty lazy list")
}
@SerialVersionUID(3L)
final class Cons[A](val head: A, val tail: LazyList[A]) extends State[A]
}
/** Creates a new LazyList. */
@inline private def newLL[A](state: => State[A]): LazyList[A] = new LazyList[A](() => state)
/** Creates a new State.Cons. */
@inline private def sCons[A](hd: A, tl: LazyList[A]): State[A] = new State.Cons[A](hd, tl)
private val anyToMarker: Any => Any = _ => Statics.pfMarker
/* All of the following `Impl` methods are carefully written so as not to
* leak the beginning of the `LazyList`. They copy the initial `LazyList` (`ll`) into
* `var rest`, which gets closed over as a `scala.runtime.ObjectRef`, thus not permanently
* leaking the head of the `LazyList`. Additionally, the methods are written so that, should
* an exception be thrown by the evaluation of the `LazyList` or any supplied function, they
* can continue their execution where they left off.
*/
private def filterImpl[A](ll: LazyList[A], p: A => Boolean, isFlipped: Boolean): LazyList[A] = {
// DO NOT REFERENCE `ll` ANYWHERE ELSE, OR IT WILL LEAK THE HEAD
var restRef = ll // val restRef = new ObjectRef(ll)
newLL {
var elem: A = null.asInstanceOf[A]
var found = false
var rest = restRef // var rest = restRef.elem
while (!found && !rest.isEmpty) {
elem = rest.head
found = p(elem) != isFlipped
rest = rest.tail
restRef = rest // restRef.elem = rest
}
if (found) sCons(elem, filterImpl(rest, p, isFlipped)) else State.Empty
}
}
private def collectImpl[A, B](ll: LazyList[A], pf: PartialFunction[A, B]): LazyList[B] = {
// DO NOT REFERENCE `ll` ANYWHERE ELSE, OR IT WILL LEAK THE HEAD
var restRef = ll // val restRef = new ObjectRef(ll)
newLL {
val marker = Statics.pfMarker
val toMarker = anyToMarker.asInstanceOf[A => B] // safe because Function1 is erased
var res: B = marker.asInstanceOf[B] // safe because B is unbounded
var rest = restRef // var rest = restRef.elem
while((res.asInstanceOf[AnyRef] eq marker) && !rest.isEmpty) {
res = pf.applyOrElse(rest.head, toMarker)
rest = rest.tail
restRef = rest // restRef.elem = rest
}
if (res.asInstanceOf[AnyRef] eq marker) State.Empty
else sCons(res, collectImpl(rest, pf))
}
}
private def flatMapImpl[A, B](ll: LazyList[A], f: A => IterableOnce[B]): LazyList[B] = {
// DO NOT REFERENCE `ll` ANYWHERE ELSE, OR IT WILL LEAK THE HEAD
var restRef = ll // val restRef = new ObjectRef(ll)
newLL {
var it: Iterator[B] = null
var itHasNext = false
var rest = restRef // var rest = restRef.elem
while (!itHasNext && !rest.isEmpty) {
it = f(rest.head).iterator
itHasNext = it.hasNext
if (!itHasNext) { // wait to advance `rest` because `it.next()` can throw
rest = rest.tail
restRef = rest // restRef.elem = rest
}
}
if (itHasNext) {
val head = it.next()
rest = rest.tail
restRef = rest // restRef.elem = rest
sCons(head, newLL(stateFromIteratorConcatSuffix(it)(flatMapImpl(rest, f).state)))
} else State.Empty
}
}
private def dropImpl[A](ll: LazyList[A], n: Int): LazyList[A] = {
// DO NOT REFERENCE `ll` ANYWHERE ELSE, OR IT WILL LEAK THE HEAD
var restRef = ll // val restRef = new ObjectRef(ll)
var iRef = n // val iRef = new IntRef(n)
newLL {
var rest = restRef // var rest = restRef.elem
var i = iRef // var i = iRef.elem
while (i > 0 && !rest.isEmpty) {
rest = rest.tail
restRef = rest // restRef.elem = rest
i -= 1
iRef = i // iRef.elem = i
}
rest.state
}
}
private def dropWhileImpl[A](ll: LazyList[A], p: A => Boolean): LazyList[A] = {
// DO NOT REFERENCE `ll` ANYWHERE ELSE, OR IT WILL LEAK THE HEAD
var restRef = ll // val restRef = new ObjectRef(ll)
newLL {
var rest = restRef // var rest = restRef.elem
while (!rest.isEmpty && p(rest.head)) {
rest = rest.tail
restRef = rest // restRef.elem = rest
}
rest.state
}
}
private def takeRightImpl[A](ll: LazyList[A], n: Int): LazyList[A] = {
// DO NOT REFERENCE `ll` ANYWHERE ELSE, OR IT WILL LEAK THE HEAD
var restRef = ll // val restRef = new ObjectRef(ll)
var scoutRef = ll // val scoutRef = new ObjectRef(ll)
var remainingRef = n // val remainingRef = new IntRef(n)
newLL {
var scout = scoutRef // var scout = scoutRef.elem
var remaining = remainingRef // var remaining = remainingRef.elem
// advance `scout` `n` elements ahead (or until empty)
while (remaining > 0 && !scout.isEmpty) {
scout = scout.tail
scoutRef = scout // scoutRef.elem = scout
remaining -= 1
remainingRef = remaining // remainingRef.elem = remaining
}
var rest = restRef // var rest = restRef.elem
// advance `rest` and `scout` in tandem until `scout` reaches the end
while(!scout.isEmpty) {
scout = scout.tail
scoutRef = scout // scoutRef.elem = scout
rest = rest.tail // can't throw an exception as `scout` has already evaluated its tail
restRef = rest // restRef.elem = rest
}
// `rest` is the last `n` elements (or all of them)
rest.state
}
}
/** An alternative way of building and matching lazy lists using LazyList.cons(hd, tl).
*/
object cons {
/** A lazy list consisting of a given first element and remaining elements
* @param hd The first element of the result lazy list
* @param tl The remaining elements of the result lazy list
*/
def apply[A](hd: => A, tl: => LazyList[A]): LazyList[A] = newLL(sCons(hd, tl))
/** Maps a lazy list to its head and tail */
def unapply[A](xs: LazyList[A]): Option[(A, LazyList[A])] = #::.unapply(xs)
}
implicit def toDeferrer[A](l: => LazyList[A]): Deferrer[A] = new Deferrer[A](() => l)
final class Deferrer[A] private[LazyList] (private val l: () => LazyList[A]) extends AnyVal {
/** Construct a LazyList consisting of a given first element followed by elements
* from another LazyList.
*/
def #:: [B >: A](elem: => B): LazyList[B] = newLL(sCons(elem, newLL(l().state)))
/** Construct a LazyList consisting of the concatenation of the given LazyList and
* another LazyList.
*/
def #:::[B >: A](prefix: LazyList[B]): LazyList[B] = prefix lazyAppendedAll l()
}
object #:: {
def unapply[A](s: LazyList[A]): Option[(A, LazyList[A])] =
if (!s.isEmpty) Some((s.head, s.tail)) else None
}
def from[A](coll: collection.IterableOnce[A]): LazyList[A] = coll match {
case lazyList: LazyList[A] => lazyList
case _ if coll.knownSize == 0 => empty[A]
case _ => newLL(stateFromIterator(coll.iterator))
}
def empty[A]: LazyList[A] = _empty
/** Creates a State from an Iterator, with another State appended after the Iterator
* is empty.
*/
private def stateFromIteratorConcatSuffix[A](it: Iterator[A])(suffix: => State[A]): State[A] =
if (it.hasNext) sCons(it.next(), newLL(stateFromIteratorConcatSuffix(it)(suffix)))
else suffix
/** Creates a State from an IterableOnce. */
private def stateFromIterator[A](it: Iterator[A]): State[A] =
if (it.hasNext) sCons(it.next(), newLL(stateFromIterator(it)))
else State.Empty
override def concat[A](xss: collection.Iterable[A]*): LazyList[A] =
if (xss.knownSize == 0) empty
else newLL(concatIterator(xss.iterator))
private def concatIterator[A](it: Iterator[collection.Iterable[A]]): State[A] =
if (!it.hasNext) State.Empty
else stateFromIteratorConcatSuffix(it.next().iterator)(concatIterator(it))
/** An infinite LazyList that repeatedly applies a given function to a start value.
*
* @param start the start value of the LazyList
* @param f the function that's repeatedly applied
* @return the LazyList returning the infinite sequence of values `start, f(start), f(f(start)), ...`
*/
def iterate[A](start: => A)(f: A => A): LazyList[A] =
newLL {
val head = start
sCons(head, iterate(f(head))(f))
}
/**
* Create an infinite LazyList starting at `start` and incrementing by
* step `step`.
*
* @param start the start value of the LazyList
* @param step the increment value of the LazyList
* @return the LazyList starting at value `start`.
*/
def from(start: Int, step: Int): LazyList[Int] =
newLL(sCons(start, from(start + step, step)))
/**
* Create an infinite LazyList starting at `start` and incrementing by `1`.
*
* @param start the start value of the LazyList
* @return the LazyList starting at value `start`.
*/
def from(start: Int): LazyList[Int] = from(start, 1)
/**
* Create an infinite LazyList containing the given element expression (which
* is computed for each occurrence).
*
* @param elem the element composing the resulting LazyList
* @return the LazyList containing an infinite number of elem
*/
def continually[A](elem: => A): LazyList[A] = newLL(sCons(elem, continually(elem)))
override def fill[A](n: Int)(elem: => A): LazyList[A] =
if (n > 0) newLL(sCons(elem, fill(n - 1)(elem))) else empty
override def tabulate[A](n: Int)(f: Int => A): LazyList[A] = {
def at(index: Int): LazyList[A] =
if (index < n) newLL(sCons(f(index), at(index + 1))) else empty
at(0)
}
// significantly simpler than the iterator returned by Iterator.unfold
override def unfold[A, S](init: S)(f: S => Option[(A, S)]): LazyList[A] =
newLL {
f(init) match {
case Some((elem, state)) => sCons(elem, unfold(state)(f))
case None => State.Empty
}
}
/** The builder returned by this method only evaluates elements
* of collections added to it as needed.
*
* @tparam A the type of the ${coll}’s elements
* @return A builder for $Coll objects.
*/
def newBuilder[A]: Builder[A, LazyList[A]] = new LazyBuilder[A]
private class LazyIterator[+A](private[this] var lazyList: LazyList[A]) extends AbstractIterator[A] {
override def hasNext: Boolean = !lazyList.isEmpty
override def next(): A =
if (lazyList.isEmpty) Iterator.empty.next()
else {
val res = lazyList.head
lazyList = lazyList.tail
res
}
}
private class SlidingIterator[A](private[this] var lazyList: LazyList[A], size: Int, step: Int)
extends AbstractIterator[LazyList[A]] {
private val minLen = size - step max 0
private var first = true
def hasNext: Boolean =
if (first) !lazyList.isEmpty
else lazyList.lengthGt(minLen)
def next(): LazyList[A] = {
if (!hasNext) Iterator.empty.next()
else {
first = false
val list = lazyList
lazyList = list.drop(step)
list.take(size)
}
}
}
private final class WithFilter[A] private[LazyList](lazyList: LazyList[A], p: A => Boolean)
extends collection.WithFilter[A, LazyList] {
private[this] val filtered = lazyList.filter(p)
def map[B](f: A => B): LazyList[B] = filtered.map(f)
def flatMap[B](f: A => IterableOnce[B]): LazyList[B] = filtered.flatMap(f)
def foreach[U](f: A => U): Unit = filtered.foreach(f)
def withFilter(q: A => Boolean): collection.WithFilter[A, LazyList] = new WithFilter(filtered, q)
}
private final class LazyBuilder[A] extends ReusableBuilder[A, LazyList[A]] {
import LazyBuilder._
private[this] var next: DeferredState[A] = _
private[this] var list: LazyList[A] = _
clear()
override def clear(): Unit = {
val deferred = new DeferredState[A]
list = newLL(deferred.eval())
next = deferred
}
override def result(): LazyList[A] = {
next init State.Empty
list
}
override def addOne(elem: A): this.type = {
val deferred = new DeferredState[A]
next init sCons(elem, newLL(deferred.eval()))
next = deferred
this
}
// lazy implementation which doesn't evaluate the collection being added
override def addAll(xs: IterableOnce[A]): this.type = {
if (xs.knownSize != 0) {
val deferred = new DeferredState[A]
next init stateFromIteratorConcatSuffix(xs.iterator)(deferred.eval())
next = deferred
}
this
}
}
private object LazyBuilder {
final class DeferredState[A] {
private[this] var _state: () => State[A] = _
def eval(): State[A] = {
val state = _state
if (state == null) throw new IllegalStateException("uninitialized")
state()
}
// racy
def init(state: => State[A]): Unit = {
if (_state != null) throw new IllegalStateException("already initialized")
_state = () => state
}
}
}
/** This serialization proxy is used for LazyLists which start with a sequence of evaluated cons cells.
* The forced sequence is serialized in a compact, sequential format, followed by the unevaluated tail, which uses
* standard Java serialization to store the complete structure of unevaluated thunks. This allows the serialization
* of long evaluated lazy lists without exhausting the stack through recursive serialization of cons cells.
*/
@SerialVersionUID(3L)
final class SerializationProxy[A](@transient protected var coll: LazyList[A]) extends Serializable {
private[this] def writeObject(out: ObjectOutputStream): Unit = {
out.defaultWriteObject()
var these = coll
while(these.knownNonEmpty) {
out.writeObject(these.head)
these = these.tail
}
out.writeObject(SerializeEnd)
out.writeObject(these)
}
private[this] def readObject(in: ObjectInputStream): Unit = {
in.defaultReadObject()
val init = new ArrayBuffer[A]
var initRead = false
while (!initRead) in.readObject match {
case SerializeEnd => initRead = true
case a => init += a.asInstanceOf[A]
}
val tail = in.readObject().asInstanceOf[LazyList[A]]
coll = init ++: tail
}
private[this] def readResolve(): Any = coll
}
}