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 30
 31  /*                     __                                               *\
 32  **     ________ ___   / /  ___     Scala API                            **
 33  **    / __/ __// _ | / /  / _ |    (c) 2003-2011, LAMP/EPFL             **
 34  **  __\ \/ /__/ __ |/ /__/ __ |    http://scala-lang.org/               **
 35  ** /____/\___/_/ |_/____/_/ | |                                         **
 36  **                          |/                                          **
 37  \*                                                                      */
 38
 39  package scala.collection
 40
 41  import generic._
 42  import mutable.{ Builder, ListBuffer }
 43  import annotation.{tailrec, migration, bridge}
 44  import annotation.unchecked.{ uncheckedVariance => uV }
 45  import parallel.ParIterable
 46
 47  /** A template trait for traversable collections of type `Traversable[A]`.
 48   *  
 49   *  $traversableInfo
 50   *  @define mutability
 51   *  @define traversableInfo
 52   *  This is a base trait of all kinds of $mutability Scala collections. It
 53   *  implements the behavior common to all collections, in terms of a method
 54   *  `foreach` with signature:
 55   * {{{
 56   *     def foreach[U](f: Elem => U): Unit
 57   * }}}
 58   *  Collection classes mixing in this trait provide a concrete 
 59   *  `foreach` method which traverses all the
 60   *  elements contained in the collection, applying a given function to each.
 61   *  They also need to provide a method `newBuilder`
 62   *  which creates a builder for collections of the same kind.
 63   *  
 64   *  A traversable class might or might not have two properties: strictness
 65   *  and orderedness. Neither is represented as a type.
 66   *  
 67   *  The instances of a strict collection class have all their elements
 68   *  computed before they can be used as values. By contrast, instances of
 69   *  a non-strict collection class may defer computation of some of their
 70   *  elements until after the instance is available as a value.
 71   *  A typical example of a non-strict collection class is a
 72   *  <a href="../immutable/Stream.html" target="ContentFrame">
 73   *  `scala.collection.immutable.Stream`</a>.
 74   *  A more general class of examples are `TraversableViews`.
 75   *  
 76   *  If a collection is an instance of an ordered collection class, traversing
 77   *  its elements with `foreach` will always visit elements in the
 78   *  same order, even for different runs of the program. If the class is not
 79   *  ordered, `foreach` can visit elements in different orders for
 80   *  different runs (but it will keep the same order in the same run).'
 81   * 
 82   *  A typical example of a collection class which is not ordered is a
 83   *  `HashMap` of objects. The traversal order for hash maps will
 84   *  depend on the hash codes of its elements, and these hash codes might
 85   *  differ from one run to the next. By contrast, a `LinkedHashMap`
 86   *  is ordered because it's `foreach` method visits elements in the
 87   *  order they were inserted into the `HashMap`.
 88   *
 89   *  @author Martin Odersky
 90   *  @version 2.8
 91   *  @since   2.8
 92   *  @tparam A    the element type of the collection
 93   *  @tparam Repr the type of the actual collection containing the elements.
 94   *
 95   *  @define Coll Traversable
 96   *  @define coll traversable collection
 97   */
 98  trait TraversableLike[+A, +Repr] extends HasNewBuilder[A, Repr] 
 99                                      with FilterMonadic[A, Repr]
100                                      with TraversableOnce[A]
101                                      with GenTraversableLike[A, Repr]
102                                      with Parallelizable[A, ParIterable[A]]
103  {
104    self =>
105
106    import Traversable.breaks._
107
108    /** The type implementing this traversable */
109    protected type Self = Repr
110
111    /** The collection of type $coll underlying this `TraversableLike` object.
112     *  By default this is implemented as the `TraversableLike` object itself,
113     *  but this can be overridden.
114     */
115    def repr: Repr = this.asInstanceOf[Repr]
116
117    /** The underlying collection seen as an instance of `$Coll`.
118     *  By default this is implemented as the current collection object itself,
119     *  but this can be overridden.
120     */
121    protected[this] def thisCollection: Traversable[A] = this.asInstanceOf[Traversable[A]]
122
123    /** A conversion from collections of type `Repr` to `$Coll` objects.
124     *  By default this is implemented as just a cast, but this can be overridden.
125     */
126    protected[this] def toCollection(repr: Repr): Traversable[A] = repr.asInstanceOf[Traversable[A]]
127
128    /** Creates a new builder for this collection type.
129     */
130    protected[this] def newBuilder: Builder[A, Repr]
131
132    protected[this] def parCombiner = ParIterable.newCombiner[A]
133
134    /** Applies a function `f` to all elements of this $coll.
135     *  
136     *    Note: this method underlies the implementation of most other bulk operations.
137     *    It's important to implement this method in an efficient way.
138     *  
139     *
140     *  @param  f   the function that is applied for its side-effect to every element.
141     *              The result of function `f` is discarded.
142     *              
143     *  @tparam  U  the type parameter describing the result of function `f`. 
144     *              This result will always be ignored. Typically `U` is `Unit`,
145     *              but this is not necessary.
146     *
147     *  @usecase def foreach(f: A => Unit): Unit
148     */
149    def foreach[U](f: A => U): Unit
150
151    /** Tests whether this $coll is empty.
152     *
153     *  @return    `true` if the $coll contain no elements, `false` otherwise.
154     */
155    def isEmpty: Boolean = {
156      var result = true
157      breakable {
158        for (x <- this) {
159          result = false
160          break
161        }
162      }
163      result
164    }
165
166    /** Tests whether this $coll is known to have a finite size.
167     *  All strict collections are known to have finite size. For a non-strict collection
168     *  such as `Stream`, the predicate returns `true` if all elements have been computed.
169     *  It returns `false` if the stream is not yet evaluated to the end.
170     *
171     *  Note: many collection methods will not work on collections of infinite sizes. 
172     *
173     *  @return  `true` if this collection is known to have finite size, `false` otherwise.
174     */
175    def hasDefiniteSize = true
176
177    def ++[B >: A, That](that: GenTraversableOnce[B])(implicit bf: CanBuildFrom[Repr, B, That]): That = {
178      val b = bf(repr)
179      if (that.isInstanceOf[IndexedSeqLike[_, _]]) b.sizeHint(this, that.seq.size)
180      b ++= thisCollection
181      b ++= that.seq
182      b.result
183    }
184
185    @bridge
186    def ++[B >: A, That](that: TraversableOnce[B])(implicit bf: CanBuildFrom[Repr, B, That]): That =
187      ++(that: GenTraversableOnce[B])(bf)
188
189    /** Concatenates this $coll with the elements of a traversable collection.
190     *  It differs from ++ in that the right operand determines the type of the
191     *  resulting collection rather than the left one.
192     * 
193     *  @param that   the traversable to append.
194     *  @tparam B     the element type of the returned collection. 
195     *  @tparam That  $thatinfo
196     *  @param bf     $bfinfo
197     *  @return       a new collection of type `That` which contains all elements
198     *                of this $coll followed by all elements of `that`.
199     * 
200     *  @usecase def ++:[B](that: TraversableOnce[B]): $Coll[B]
201     *  
202     *  @return       a new $coll which contains all elements of this $coll
203     *                followed by all elements of `that`.
204     */
205    def ++:[B >: A, That](that: TraversableOnce[B])(implicit bf: CanBuildFrom[Repr, B, That]): That = {
206      val b = bf(repr)
207      if (that.isInstanceOf[IndexedSeqLike[_, _]]) b.sizeHint(this, that.size)
208      b ++= that
209      b ++= thisCollection
210      b.result
211    }
212
213    /** This overload exists because: for the implementation of ++: we should reuse
214     *  that of ++ because many collections override it with more efficient versions.
215     *  Since TraversableOnce has no '++' method, we have to implement that directly,
216     *  but Traversable and down can use the overload.
217     */
218    def ++:[B >: A, That](that: Traversable[B])(implicit bf: CanBuildFrom[Repr, B, That]): That =
219      (that ++ seq)(breakOut)
220
221    def map[B, That](f: A => B)(implicit bf: CanBuildFrom[Repr, B, That]): That = {
222      val b = bf(repr)
223      b.sizeHint(this) 
224      for (x <- this) b += f(x)
225      b.result
226    }
227
228    def flatMap[B, That](f: A => GenTraversableOnce[B])(implicit bf: CanBuildFrom[Repr, B, That]): That = {
229      val b = bf(repr)
230      for (x <- this) b ++= f(x).seq
231      b.result
232    }
233
234    /** Selects all elements of this $coll which satisfy a predicate.
235     *
236     *  @param p     the predicate used to test elements.
237     *  @return      a new $coll consisting of all elements of this $coll that satisfy the given
238     *               predicate `p`. The order of the elements is preserved.
239     */
240    def filter(p: A => Boolean): Repr = {
241      val b = newBuilder
242      for (x <- this) 
243        if (p(x)) b += x
244      b.result
245    }
246
247    /** Selects all elements of this $coll which do not satisfy a predicate.
248     *
249     *  @param p     the predicate used to test elements.
250     *  @return      a new $coll consisting of all elements of this $coll that do not satisfy the given
251     *               predicate `p`. The order of the elements is preserved.
252     */
253    def filterNot(p: A => Boolean): Repr = filter(!p(_))
254
255    def collect[B, That](pf: PartialFunction[A, B])(implicit bf: CanBuildFrom[Repr, B, That]): That = {
256      val b = bf(repr)
257      for (x <- this) if (pf.isDefinedAt(x)) b += pf(x)
258      b.result
259    }
260
261    /** Builds a new collection by applying an option-valued function to all
262     *  elements of this $coll on which the function is defined.
263     *
264     *  @param f      the option-valued function which filters and maps the $coll.
265     *  @tparam B     the element type of the returned collection.
266     *  @tparam That  $thatinfo
267     *  @param bf     $bfinfo
268     *  @return       a new collection of type `That` resulting from applying the option-valued function
269     *                `f` to each element and collecting all defined results.
270     *                The order of the elements is preserved.
271     *
272     *  @usecase def filterMap[B](f: A => Option[B]): $Coll[B]
273     *  
274     *  @param pf     the partial function which filters and maps the $coll.
275     *  @return       a new $coll resulting from applying the given option-valued function
276     *                `f` to each element and collecting all defined results.
277     *                The order of the elements is preserved.
278    def filterMap[B, That](f: A => Option[B])(implicit bf: CanBuildFrom[Repr, B, That]): That = {
279      val b = bf(repr)
280      for (x <- this) 
281        f(x) match {
282          case Some(y) => b += y
283          case _ =>
284        }
285      b.result
286    }
287     */
288
289    /** Partitions this $coll in two ${coll}s according to a predicate.
290     *
291     *  @param p the predicate on which to partition.
292     *  @return  a pair of ${coll}s: the first $coll consists of all elements that 
293     *           satisfy the predicate `p` and the second $coll consists of all elements
294     *           that don't. The relative order of the elements in the resulting ${coll}s
295     *           is the same as in the original $coll.
296     */
297    def partition(p: A => Boolean): (Repr, Repr) = {
298      val l, r = newBuilder
299      for (x <- this) (if (p(x)) l else r) += x
300      (l.result, r.result)
301    }
302
303    def groupBy[K](f: A => K): immutable.Map[K, Repr] = {
304      val m = mutable.Map.empty[K, Builder[A, Repr]]
305      for (elem <- this) {
306        val key = f(elem)
307        val bldr = m.getOrElseUpdate(key, newBuilder)
308        bldr += elem
309      }
310      val b = immutable.Map.newBuilder[K, Repr]
311      for ((k, v) <- m)
312        b += ((k, v.result))
313
314      b.result
315    }
316
317    /** Tests whether a predicate holds for all elements of this $coll.
318     *
319     *  $mayNotTerminateInf
320     *
321     *  @param   p     the predicate used to test elements.
322     *  @return        `true` if the given predicate `p` holds for all elements
323     *                 of this $coll, otherwise `false`.
324     */
325    def forall(p: A => Boolean): Boolean = {
326      var result = true
327      breakable {
328        for (x <- this)
329          if (!p(x)) { result = false; break }
330      }
331      result
332    }
333
334    /** Tests whether a predicate holds for some of the elements of this $coll.
335     *
336     *  $mayNotTerminateInf
337     *
338     *  @param   p     the predicate used to test elements.
339     *  @return        `true` if the given predicate `p` holds for some of the
340     *                 elements of this $coll, otherwise `false`.
341     */
342    def exists(p: A => Boolean): Boolean = {
343      var result = false
344      breakable {
345        for (x <- this)
346          if (p(x)) { result = true; break }
347      }
348      result
349    }
350
351    /** Finds the first element of the $coll satisfying a predicate, if any.
352     * 
353     *  $mayNotTerminateInf
354     *  $orderDependent
355     *
356     *  @param p    the predicate used to test elements.
357     *  @return     an option value containing the first element in the $coll
358     *              that satisfies `p`, or `None` if none exists.
359     */
360    def find(p: A => Boolean): Option[A] = {
361      var result: Option[A] = None
362      breakable {
363        for (x <- this)
364          if (p(x)) { result = Some(x); break }
365      }
366      result
367    }
368
369    def scan[B >: A, That](z: B)(op: (B, B) => B)(implicit cbf: CanBuildFrom[Repr, B, That]): That = scanLeft(z)(op)
370
371    def scanLeft[B, That](z: B)(op: (B, A) => B)(implicit bf: CanBuildFrom[Repr, B, That]): That = {
372      val b = bf(repr)
373      b.sizeHint(this, 1)
374      var acc = z
375      b += acc
376      for (x <- this) { acc = op(acc, x); b += acc }
377      b.result
378    }
379
380    @migration(2, 9,
381      "This scanRight definition has changed in 2.9.\n" +
382      "The previous behavior can be reproduced with scanRight.reverse."
383    )
384    def scanRight[B, That](z: B)(op: (A, B) => B)(implicit bf: CanBuildFrom[Repr, B, That]): That = {
385      var scanned = List(z)
386      var acc = z
387      for (x <- reversed) {
388        acc = op(x, acc)
389        scanned ::= acc
390      }
391      val b = bf(repr)
392      for (elem <- scanned) b += elem
393      b.result
394    }
395
396    /** Selects the first element of this $coll.
397     *  $orderDependent
398     *  @return  the first element of this $coll.
399     *  @throws `NoSuchElementException` if the $coll is empty.
400     */
401    def head: A = {
402      var result: () => A = () => throw new NoSuchElementException
403      breakable {
404        for (x <- this) {
405          result = () => x
406          break
407        }
408      }
409      result()
410    }
411
412    /** Optionally selects the first element.
413     *  $orderDependent
414     *  @return  the first element of this $coll if it is nonempty, `None` if it is empty.
415     */
416    def headOption: Option[A] = if (isEmpty) None else Some(head)
417
418    /** Selects all elements except the first.
419     *  $orderDependent
420     *  @return  a $coll consisting of all elements of this $coll
421     *           except the first one.
422     *  @throws `UnsupportedOperationException` if the $coll is empty.
423     */ 
424    override def tail: Repr = {
425      if (isEmpty) throw new UnsupportedOperationException("empty.tail")
426      drop(1)
427    }
428
429    /** Selects the last element.
430      * $orderDependent
431      * @return The last element of this $coll.
432      * @throws NoSuchElementException If the $coll is empty.
433      */
434    def last: A = {
435      var lst = head
436      for (x <- this)
437        lst = x
438      lst
439    }
440
441    /** Optionally selects the last element.
442     *  $orderDependent
443     *  @return  the last element of this $coll$ if it is nonempty, `None` if it is empty.
444     */
445    def lastOption: Option[A] = if (isEmpty) None else Some(last)
446
447    /** Selects all elements except the last.
448     *  $orderDependent
449     *  @return  a $coll consisting of all elements of this $coll
450     *           except the last one.
451     *  @throws `UnsupportedOperationException` if the $coll is empty.
452     */
453    def init: Repr = {
454      if (isEmpty) throw new UnsupportedOperationException("empty.init")
455      var lst = head
456      var follow = false
457      val b = newBuilder
458      b.sizeHint(this, -1)
459      for (x <- this.seq) {
460        if (follow) b += lst
461        else follow = true
462        lst = x
463      }
464      b.result
465    }
466
467    def take(n: Int): Repr = slice(0, n)
468
469    def drop(n: Int): Repr = 
470      if (n <= 0) {
471        val b = newBuilder
472        b.sizeHint(this)
473        b ++= thisCollection result
474      }
475      else sliceWithKnownDelta(n, Int.MaxValue, -n)
476
477    def slice(from: Int, until: Int): Repr = sliceWithKnownBound(math.max(from, 0), until)
478
479    // Precondition: from >= 0, until > 0, builder already configured for building.
480    private[this] def sliceInternal(from: Int, until: Int, b: Builder[A, Repr]): Repr = {
481      var i = 0
482      breakable {
483        for (x <- this.seq) {
484          if (i >= from) b += x
485          i += 1
486          if (i >= until) break
487        }
488      }
489      b.result
490    }
491    // Precondition: from >= 0
492    private[scala] def sliceWithKnownDelta(from: Int, until: Int, delta: Int): Repr = {
493      val b = newBuilder
494      if (until <= from) b.result
495      else {
496        b.sizeHint(this, delta)
497        sliceInternal(from, until, b)
498      }
499    }
500    // Precondition: from >= 0
501    private[scala] def sliceWithKnownBound(from: Int, until: Int): Repr = {
502      val b = newBuilder
503      if (until <= from) b.result
504      else {
505        b.sizeHintBounded(until - from, this)      
506        sliceInternal(from, until, b)
507      }
508    }
509
510    def takeWhile(p: A => Boolean): Repr = {
511      val b = newBuilder
512      breakable {
513        for (x <- this) {
514          if (!p(x)) break
515          b += x
516        }
517      }
518      b.result
519    }
520
521    def dropWhile(p: A => Boolean): Repr = {
522      val b = newBuilder
523      var go = false
524      for (x <- this) {
525        if (!p(x)) go = true
526        if (go) b += x
527      }
528      b.result
529    }
530
531    def span(p: A => Boolean): (Repr, Repr) = {
532      val l, r = newBuilder
533      var toLeft = true
534      for (x <- this) {
535        toLeft = toLeft && p(x)
536        (if (toLeft) l else r) += x
537      }
538      (l.result, r.result)
539    }
540
541    def splitAt(n: Int): (Repr, Repr) = {
542      val l, r = newBuilder
543      l.sizeHintBounded(n, this)
544      if (n >= 0) r.sizeHint(this, -n)
545      var i = 0
546      for (x <- this) {
547        (if (i < n) l else r) += x
548        i += 1
549      }
550      (l.result, r.result)
551    }
552
553    /** Iterates over the tails of this $coll. The first value will be this
554     *  $coll and the final one will be an empty $coll, with the intervening
555     *  values the results of successive applications of `tail`.
556     *
557     *  @return   an iterator over all the tails of this $coll
558     *  @example  `List(1,2,3).tails = Iterator(List(1,2,3), List(2,3), List(3), Nil)`
559     */  
560    def tails: Iterator[Repr] = iterateUntilEmpty(_.tail)
561
562    /** Iterates over the inits of this $coll. The first value will be this
563     *  $coll and the final one will be an empty $coll, with the intervening
564     *  values the results of successive applications of `init`.
565     *
566     *  @return  an iterator over all the inits of this $coll
567     *  @example  `List(1,2,3).inits = Iterator(List(1,2,3), List(1,2), List(1), Nil)`
568     */
569    def inits: Iterator[Repr] = iterateUntilEmpty(_.init)
570
571    /** Copies elements of this $coll to an array.
572     *  Fills the given array `xs` with at most `len` elements of
573     *  this $coll, starting at position `start`.
574     *  Copying will stop once either the end of the current $coll is reached,
575     *  or the end of the array is reached, or `len` elements have been copied.
576     *
577     *  $willNotTerminateInf
578     * 
579     *  @param  xs     the array to fill.
580     *  @param  start  the starting index.
581     *  @param  len    the maximal number of elements to copy.
582     *  @tparam B      the type of the elements of the array. 
583     * 
584     *
585     *  @usecase def copyToArray(xs: Array[A], start: Int, len: Int): Unit
586     */
587    def copyToArray[B >: A](xs: Array[B], start: Int, len: Int) {
588      var i = start
589      val end = (start + len) min xs.length
590      breakable {
591        for (x <- this) {
592          if (i >= end) break
593          xs(i) = x
594          i += 1
595        }
596      }
597    }
598
599    def toTraversable: Traversable[A] = thisCollection
600    def toIterator: Iterator[A] = toStream.iterator
601    def toStream: Stream[A] = toBuffer.toStream
602
603    /** Converts this $coll to a string.
604     *
605     *  @return   a string representation of this collection. By default this
606     *            string consists of the `stringPrefix` of this $coll,
607     *            followed by all elements separated by commas and enclosed in parentheses.
608     */
609    override def toString = mkString(stringPrefix + "(", ", ", ")")
610
611    /** Defines the prefix of this object's `toString` representation.
612     *
613     *  @return  a string representation which starts the result of `toString`
614     *           applied to this $coll. By default the string prefix is the
615     *           simple name of the collection class $coll.
616     */
617    def stringPrefix : String = {
618      var string = repr.asInstanceOf[AnyRef].getClass.getName
619      val idx1 = string.lastIndexOf('.' : Int)
620      if (idx1 != -1) string = string.substring(idx1 + 1)
621      val idx2 = string.indexOf('$')
622      if (idx2 != -1) string = string.substring(0, idx2)
623      string
624    }
625
626    /** Creates a non-strict view of this $coll.
627     * 
628     *  @return a non-strict view of this $coll.
629     */
630    def view = new TraversableView[A, Repr] {
631      protected lazy val underlying = self.repr
632      override def foreach[U](f: A => U) = self foreach f
633    }
634
635    /** Creates a non-strict view of a slice of this $coll.
636     *
637     *  Note: the difference between `view` and `slice` is that `view` produces
638     *        a view of the current $coll, whereas `slice` produces a new $coll.
639     * 
640     *  Note: `view(from, to)` is equivalent to `view.slice(from, to)`
641     *  $orderDependent
642     * 
643     *  @param from   the index of the first element of the view
644     *  @param until  the index of the element following the view
645     *  @return a non-strict view of a slice of this $coll, starting at index `from`
646     *  and extending up to (but not including) index `until`.
647     */
648    def view(from: Int, until: Int): TraversableView[A, Repr] = view.slice(from, until)
649
650    /** Creates a non-strict filter of this $coll.
651     *
652     *  Note: the difference between `c filter p` and `c withFilter p` is that
653     *        the former creates a new collection, whereas the latter only
654     *        restricts the domain of subsequent `map`, `flatMap`, `foreach`,
655     *        and `withFilter` operations.
656     *  $orderDependent
657     * 
658     *  @param p   the predicate used to test elements.
659     *  @return    an object of class `WithFilter`, which supports
660     *             `map`, `flatMap`, `foreach`, and `withFilter` operations.
661     *             All these operations apply to those elements of this $coll which
662     *             satisfy the predicate `p`.
663     */
664    def withFilter(p: A => Boolean): FilterMonadic[A, Repr] = new WithFilter(p)
665
666    /** A class supporting filtered operations. Instances of this class are
667     *  returned by method `withFilter`.
668     */
669    class WithFilter(p: A => Boolean) extends FilterMonadic[A, Repr] {
670
671      /** Builds a new collection by applying a function to all elements of the
672       *  outer $coll containing this `WithFilter` instance that satisfy predicate `p`.
673       *
674       *  @param f      the function to apply to each element.
675       *  @tparam B     the element type of the returned collection.
676       *  @tparam That  $thatinfo
677       *  @param bf     $bfinfo
678       *  @return       a new collection of type `That` resulting from applying
679       *                the given function `f` to each element of the outer $coll
680       *                that satisfies predicate `p` and collecting the results.
681       *
682       *  @usecase def map[B](f: A => B): $Coll[B] 
683       *  
684       *  @return       a new $coll resulting from applying the given function
685       *                `f` to each element of the outer $coll that satisfies
686       *                predicate `p` and collecting the results.
687       */
688      def map[B, That](f: A => B)(implicit bf: CanBuildFrom[Repr, B, That]): That = {
689        val b = bf(repr)
690        for (x <- self) 
691          if (p(x)) b += f(x)
692        b.result
693      }
694
695      /** Builds a new collection by applying a function to all elements of the
696       *  outer $coll containing this `WithFilter` instance that satisfy
697       *  predicate `p` and concatenating the results. 
698       *
699       *  @param f      the function to apply to each element.
700       *  @tparam B     the element type of the returned collection.
701       *  @tparam That  $thatinfo
702       *  @param bf     $bfinfo
703       *  @return       a new collection of type `That` resulting from applying
704       *                the given collection-valued function `f` to each element
705       *                of the outer $coll that satisfies predicate `p` and
706       *                concatenating the results.
707       *
708       *  @usecase def flatMap[B](f: A => TraversableOnce[B]): $Coll[B]
709       * 
710       *  @return       a new $coll resulting from applying the given collection-valued function
711       *                `f` to each element of the outer $coll that satisfies predicate `p` and concatenating the results.
712       */
713      def flatMap[B, That](f: A => GenTraversableOnce[B])(implicit bf: CanBuildFrom[Repr, B, That]): That = {
714        val b = bf(repr)
715        for (x <- self) 
716          if (p(x)) b ++= f(x).seq
717        b.result
718      }
719
720      /** Applies a function `f` to all elements of the outer $coll containing
721       *  this `WithFilter` instance that satisfy predicate `p`.
722       *
723       *  @param  f   the function that is applied for its side-effect to every element.
724       *              The result of function `f` is discarded.
725       *              
726       *  @tparam  U  the type parameter describing the result of function `f`. 
727       *              This result will always be ignored. Typically `U` is `Unit`,
728       *              but this is not necessary.
729       *
730       *  @usecase def foreach(f: A => Unit): Unit
731       */   
732      def foreach[U](f: A => U): Unit = 
733        for (x <- self) 
734          if (p(x)) f(x)
735
736      /** Further refines the filter for this $coll.
737       *
738       *  @param q   the predicate used to test elements.
739       *  @return    an object of class `WithFilter`, which supports
740       *             `map`, `flatMap`, `foreach`, and `withFilter` operations.
741       *             All these operations apply to those elements of this $coll which
742       *             satisfy the predicate `q` in addition to the predicate `p`.
743       */
744      def withFilter(q: A => Boolean): WithFilter = 
745        new WithFilter(x => p(x) && q(x))
746    }
747
748    // A helper for tails and inits.
749    private def iterateUntilEmpty(f: Traversable[A @uV] => Traversable[A @uV]): Iterator[Repr] = {
750      val it = Iterator.iterate(thisCollection)(f) takeWhile (x => !x.isEmpty)
751      it ++ Iterator(Nil) map (newBuilder ++= _ result)
752    }
753  }
754
755
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