/* __ *\ ** ________ ___ / / ___ Scala API ** ** / __/ __// _ | / / / _ | (c) 2003-2013, LAMP/EPFL ** ** __\ \/ /__/ __ |/ /__/ __ | http://scala-lang.org/ ** ** /____/\___/_/ |_/____/_/ | | ** ** |/ ** \* */ package scala package collection package immutable import scala.collection.generic.{ CanBuildFrom, BitOperations } import scala.collection.mutable.{ Builder, MapBuilder } import scala.annotation.tailrec /** Utility class for integer maps. * @author David MacIver */ private[immutable] object IntMapUtils extends BitOperations.Int { def branchMask(i: Int, j: Int) = highestOneBit(i ^ j) def join[T](p1: Int, t1: IntMap[T], p2: Int, t2: IntMap[T]): IntMap[T] = { val m = branchMask(p1, p2) val p = mask(p1, m) if (zero(p1, m)) IntMap.Bin(p, m, t1, t2) else IntMap.Bin(p, m, t2, t1) } def bin[T](prefix: Int, mask: Int, left: IntMap[T], right: IntMap[T]): IntMap[T] = (left, right) match { case (left, IntMap.Nil) => left case (IntMap.Nil, right) => right case (left, right) => IntMap.Bin(prefix, mask, left, right) } } import IntMapUtils._ /** A companion object for integer maps. * * @define Coll `IntMap` * @define mapCanBuildFromInfo * The standard `CanBuildFrom` instance for `$Coll` objects. * The created value is an instance of class `MapCanBuildFrom`. * @since 2.7 */ object IntMap { /** $mapCanBuildFromInfo */ implicit def canBuildFrom[A, B] = new CanBuildFrom[IntMap[A], (Int, B), IntMap[B]] { def apply(from: IntMap[A]): Builder[(Int, B), IntMap[B]] = apply() def apply(): Builder[(Int, B), IntMap[B]] = new MapBuilder[Int, B, IntMap[B]](empty[B]) } def empty[T] : IntMap[T] = IntMap.Nil def singleton[T](key: Int, value: T): IntMap[T] = IntMap.Tip(key, value) def apply[T](elems: (Int, T)*): IntMap[T] = elems.foldLeft(empty[T])((x, y) => x.updated(y._1, y._2)) private[immutable] case object Nil extends IntMap[Nothing] { // Important! Without this equals method in place, an infinite // loop from Map.equals => size => pattern-match-on-Nil => equals // develops. Case objects and custom equality don't mix without // careful handling. override def equals(that : Any) = that match { case _: this.type => true case _: IntMap[_] => false // The only empty IntMaps are eq Nil case _ => super.equals(that) } } private[immutable] case class Tip[+T](key: Int, value: T) extends IntMap[T]{ def withValue[S](s: S) = if (s.asInstanceOf[AnyRef] eq value.asInstanceOf[AnyRef]) this.asInstanceOf[IntMap.Tip[S]] else IntMap.Tip(key, s) } private[immutable] case class Bin[+T](prefix: Int, mask: Int, left: IntMap[T], right: IntMap[T]) extends IntMap[T] { def bin[S](left: IntMap[S], right: IntMap[S]): IntMap[S] = { if ((this.left eq left) && (this.right eq right)) this.asInstanceOf[IntMap.Bin[S]] else IntMap.Bin[S](prefix, mask, left, right) } } } import IntMap._ // Iterator over a non-empty IntMap. private[immutable] abstract class IntMapIterator[V, T](it: IntMap[V]) extends AbstractIterator[T] { // Basically this uses a simple stack to emulate conversion over the tree. However // because we know that Ints are at least 32 bits we can have at most 32 IntMap.Bins and // one IntMap.Tip sitting on the tree at any point. Therefore we know the maximum stack // depth is 33 and var index = 0 var buffer = new Array[AnyRef](33) def pop = { index -= 1 buffer(index).asInstanceOf[IntMap[V]] } def push(x: IntMap[V]) { buffer(index) = x.asInstanceOf[AnyRef] index += 1 } push(it) /** * What value do we assign to a tip? */ def valueOf(tip: IntMap.Tip[V]): T def hasNext = index != 0 final def next: T = pop match { case IntMap.Bin(_,_, t@IntMap.Tip(_, _), right) => { push(right) valueOf(t) } case IntMap.Bin(_, _, left, right) => { push(right) push(left) next } case t@IntMap.Tip(_, _) => valueOf(t) // This should never happen. We don't allow IntMap.Nil in subtrees of the IntMap // and don't return an IntMapIterator for IntMap.Nil. case IntMap.Nil => sys.error("Empty maps not allowed as subtrees") } } private[immutable] class IntMapEntryIterator[V](it: IntMap[V]) extends IntMapIterator[V, (Int, V)](it) { def valueOf(tip: IntMap.Tip[V]) = (tip.key, tip.value) } private[immutable] class IntMapValueIterator[V](it: IntMap[V]) extends IntMapIterator[V, V](it) { def valueOf(tip: IntMap.Tip[V]) = tip.value } private[immutable] class IntMapKeyIterator[V](it: IntMap[V]) extends IntMapIterator[V, Int](it) { def valueOf(tip: IntMap.Tip[V]) = tip.key } import IntMap._ /** Specialised immutable map structure for integer keys, based on * [[http://ittc.ku.edu/~andygill/papers/IntMap98.pdf Fast Mergeable Integer Maps]] * by Okasaki and Gill. Essentially a trie based on binary digits of the integers. * * '''Note:''' This class is as of 2.8 largely superseded by HashMap. * * @tparam T type of the values associated with integer keys. * * @since 2.7 * @define Coll `immutable.IntMap` * @define coll immutable integer map * @define mayNotTerminateInf * @define willNotTerminateInf */ sealed abstract class IntMap[+T] extends AbstractMap[Int, T] with Map[Int, T] with MapLike[Int, T, IntMap[T]] { override def empty: IntMap[T] = IntMap.Nil override def toList = { val buffer = new scala.collection.mutable.ListBuffer[(Int, T)] foreach(buffer += _) buffer.toList } /** * Iterator over key, value pairs of the map in unsigned order of the keys. * * @return an iterator over pairs of integer keys and corresponding values. */ def iterator: Iterator[(Int, T)] = this match { case IntMap.Nil => Iterator.empty case _ => new IntMapEntryIterator(this) } /** * Loops over the key, value pairs of the map in unsigned order of the keys. */ override final def foreach[U](f: ((Int, T)) => U): Unit = this match { case IntMap.Bin(_, _, left, right) => { left.foreach(f); right.foreach(f) } case IntMap.Tip(key, value) => f((key, value)) case IntMap.Nil => } override def keysIterator: Iterator[Int] = this match { case IntMap.Nil => Iterator.empty case _ => new IntMapKeyIterator(this) } /** * Loop over the keys of the map. The same as `keys.foreach(f)`, but may * be more efficient. * * @param f The loop body */ final def foreachKey(f: Int => Unit): Unit = this match { case IntMap.Bin(_, _, left, right) => { left.foreachKey(f); right.foreachKey(f) } case IntMap.Tip(key, _) => f(key) case IntMap.Nil => } override def valuesIterator: Iterator[T] = this match { case IntMap.Nil => Iterator.empty case _ => new IntMapValueIterator(this) } /** * Loop over the values of the map. The same as `values.foreach(f)`, but may * be more efficient. * * @param f The loop body */ final def foreachValue(f: T => Unit): Unit = this match { case IntMap.Bin(_, _, left, right) => { left.foreachValue(f); right.foreachValue(f) } case IntMap.Tip(_, value) => f(value) case IntMap.Nil => } override def stringPrefix = "IntMap" override def isEmpty = this == IntMap.Nil override def filter(f: ((Int, T)) => Boolean): IntMap[T] = this match { case IntMap.Bin(prefix, mask, left, right) => { val (newleft, newright) = (left.filter(f), right.filter(f)) if ((left eq newleft) && (right eq newright)) this else bin(prefix, mask, newleft, newright) } case IntMap.Tip(key, value) => if (f((key, value))) this else IntMap.Nil case IntMap.Nil => IntMap.Nil } def transform[S](f: (Int, T) => S): IntMap[S] = this match { case b@IntMap.Bin(prefix, mask, left, right) => b.bin(left.transform(f), right.transform(f)) case t@IntMap.Tip(key, value) => t.withValue(f(key, value)) case IntMap.Nil => IntMap.Nil } final override def size: Int = this match { case IntMap.Nil => 0 case IntMap.Tip(_, _) => 1 case IntMap.Bin(_, _, left, right) => left.size + right.size } final def get(key: Int): Option[T] = this match { case IntMap.Bin(prefix, mask, left, right) => if (zero(key, mask)) left.get(key) else right.get(key) case IntMap.Tip(key2, value) => if (key == key2) Some(value) else None case IntMap.Nil => None } final override def getOrElse[S >: T](key: Int, default: => S): S = this match { case IntMap.Nil => default case IntMap.Tip(key2, value) => if (key == key2) value else default case IntMap.Bin(prefix, mask, left, right) => if (zero(key, mask)) left.getOrElse(key, default) else right.getOrElse(key, default) } final override def apply(key: Int): T = this match { case IntMap.Bin(prefix, mask, left, right) => if (zero(key, mask)) left(key) else right(key) case IntMap.Tip(key2, value) => if (key == key2) value else sys.error("Key not found") case IntMap.Nil => sys.error("key not found") } def + [S >: T] (kv: (Int, S)): IntMap[S] = updated(kv._1, kv._2) override def updated[S >: T](key: Int, value: S): IntMap[S] = this match { case IntMap.Bin(prefix, mask, left, right) => if (!hasMatch(key, prefix, mask)) join(key, IntMap.Tip(key, value), prefix, this) else if (zero(key, mask)) IntMap.Bin(prefix, mask, left.updated(key, value), right) else IntMap.Bin(prefix, mask, left, right.updated(key, value)) case IntMap.Tip(key2, value2) => if (key == key2) IntMap.Tip(key, value) else join(key, IntMap.Tip(key, value), key2, this) case IntMap.Nil => IntMap.Tip(key, value) } /** * Updates the map, using the provided function to resolve conflicts if the key is already present. * * Equivalent to: * {{{ * this.get(key) match { * case None => this.update(key, value) * case Some(oldvalue) => this.update(key, f(oldvalue, value) * } * }}} * * @tparam S The supertype of values in this `LongMap`. * @param key The key to update * @param value The value to use if there is no conflict * @param f The function used to resolve conflicts. * @return The updated map. */ def updateWith[S >: T](key: Int, value: S, f: (T, S) => S): IntMap[S] = this match { case IntMap.Bin(prefix, mask, left, right) => if (!hasMatch(key, prefix, mask)) join(key, IntMap.Tip(key, value), prefix, this) else if (zero(key, mask)) IntMap.Bin(prefix, mask, left.updateWith(key, value, f), right) else IntMap.Bin(prefix, mask, left, right.updateWith(key, value, f)) case IntMap.Tip(key2, value2) => if (key == key2) IntMap.Tip(key, f(value2, value)) else join(key, IntMap.Tip(key, value), key2, this) case IntMap.Nil => IntMap.Tip(key, value) } def - (key: Int): IntMap[T] = this match { case IntMap.Bin(prefix, mask, left, right) => if (!hasMatch(key, prefix, mask)) this else if (zero(key, mask)) bin(prefix, mask, left - key, right) else bin(prefix, mask, left, right - key) case IntMap.Tip(key2, _) => if (key == key2) IntMap.Nil else this case IntMap.Nil => IntMap.Nil } /** * A combined transform and filter function. Returns an `IntMap` such that * for each `(key, value)` mapping in this map, if `f(key, value) == None` * the map contains no mapping for key, and if `f(key, value)`. * * @tparam S The type of the values in the resulting `LongMap`. * @param f The transforming function. * @return The modified map. */ def modifyOrRemove[S](f: (Int, T) => Option[S]): IntMap[S] = this match { case IntMap.Bin(prefix, mask, left, right) => val newleft = left.modifyOrRemove(f) val newright = right.modifyOrRemove(f) if ((left eq newleft) && (right eq newright)) this.asInstanceOf[IntMap[S]] else bin(prefix, mask, newleft, newright) case IntMap.Tip(key, value) => f(key, value) match { case None => IntMap.Nil case Some(value2) => //hack to preserve sharing if (value.asInstanceOf[AnyRef] eq value2.asInstanceOf[AnyRef]) this.asInstanceOf[IntMap[S]] else IntMap.Tip(key, value2) } case IntMap.Nil => IntMap.Nil } /** * Forms a union map with that map, using the combining function to resolve conflicts. * * @tparam S The type of values in `that`, a supertype of values in `this`. * @param that The map to form a union with. * @param f The function used to resolve conflicts between two mappings. * @return Union of `this` and `that`, with identical key conflicts resolved using the function `f`. */ def unionWith[S >: T](that: IntMap[S], f: (Int, S, S) => S): IntMap[S] = (this, that) match{ case (IntMap.Bin(p1, m1, l1, r1), that@(IntMap.Bin(p2, m2, l2, r2))) => if (shorter(m1, m2)) { if (!hasMatch(p2, p1, m1)) join[S](p1, this, p2, that) // TODO: remove [S] when SI-5548 is fixed else if (zero(p2, m1)) IntMap.Bin(p1, m1, l1.unionWith(that, f), r1) else IntMap.Bin(p1, m1, l1, r1.unionWith(that, f)) } else if (shorter(m2, m1)){ if (!hasMatch(p1, p2, m2)) join[S](p1, this, p2, that) // TODO: remove [S] when SI-5548 is fixed else if (zero(p1, m2)) IntMap.Bin(p2, m2, this.unionWith(l2, f), r2) else IntMap.Bin(p2, m2, l2, this.unionWith(r2, f)) } else { if (p1 == p2) IntMap.Bin(p1, m1, l1.unionWith(l2,f), r1.unionWith(r2, f)) else join[S](p1, this, p2, that) // TODO: remove [S] when SI-5548 is fixed } case (IntMap.Tip(key, value), x) => x.updateWith[S](key, value, (x, y) => f(key, y, x)) case (x, IntMap.Tip(key, value)) => x.updateWith[S](key, value, (x, y) => f(key, x, y)) case (IntMap.Nil, x) => x case (x, IntMap.Nil) => x } /** * Forms the intersection of these two maps with a combining function. The * resulting map is a map that has only keys present in both maps and has * values produced from the original mappings by combining them with `f`. * * @tparam S The type of values in `that`. * @tparam R The type of values in the resulting `LongMap`. * @param that The map to intersect with. * @param f The combining function. * @return Intersection of `this` and `that`, with values for identical keys produced by function `f`. */ def intersectionWith[S, R](that: IntMap[S], f: (Int, T, S) => R): IntMap[R] = (this, that) match { case (IntMap.Bin(p1, m1, l1, r1), that@IntMap.Bin(p2, m2, l2, r2)) => if (shorter(m1, m2)) { if (!hasMatch(p2, p1, m1)) IntMap.Nil else if (zero(p2, m1)) l1.intersectionWith(that, f) else r1.intersectionWith(that, f) } else if (m1 == m2) bin(p1, m1, l1.intersectionWith(l2, f), r1.intersectionWith(r2, f)) else { if (!hasMatch(p1, p2, m2)) IntMap.Nil else if (zero(p1, m2)) this.intersectionWith(l2, f) else this.intersectionWith(r2, f) } case (IntMap.Tip(key, value), that) => that.get(key) match { case None => IntMap.Nil case Some(value2) => IntMap.Tip(key, f(key, value, value2)) } case (_, IntMap.Tip(key, value)) => this.get(key) match { case None => IntMap.Nil case Some(value2) => IntMap.Tip(key, f(key, value2, value)) } case (_, _) => IntMap.Nil } /** * Left biased intersection. Returns the map that has all the same mappings * as this but only for keys which are present in the other map. * * @tparam R The type of values in `that`. * @param that The map to intersect with. * @return A map with all the keys both in `this` and `that`, mapped to corresponding values from `this`. */ def intersection[R](that: IntMap[R]): IntMap[T] = this.intersectionWith(that, (key: Int, value: T, value2: R) => value) def ++[S >: T](that: IntMap[S]) = this.unionWith[S](that, (key, x, y) => y) /** * The entry with the lowest key value considered in unsigned order. */ @tailrec final def firstKey: Int = this match { case Bin(_, _, l, r) => l.firstKey case Tip(k, v) => k case IntMap.Nil => sys.error("Empty set") } /** * The entry with the highest key value considered in unsigned order. */ @tailrec final def lastKey: Int = this match { case Bin(_, _, l, r) => r.lastKey case Tip(k, v) => k case IntMap.Nil => sys.error("Empty set") } }