I'm solving a problem on leetcode-
https://leetcode.com/problems/minimum-absolute-difference/
I can't seem to understand why in the code below the result list is not correctly appended after resetting it to nil.
I looked online of course but could not fathom the concept behind this behavior. Can someone explain why after result is assigned Nil, no value can get added to that list? How do I reset the list?
I tried with ListBuffer and clear() but I got the same issue, at the end of the run the result is Nil
Expected behavior:
Input: arr = [4,2,1,3]
Output: [[1,2],[2,3],[3,4]]
Actual behavior:
Input: arr = [4,2,1,3]
Output: List()
def minimumAbsDifference(arr: Array[Int]): List[List[Int]] = {
val sortedInput = arr.sorted
var min = Integer.MAX_VALUE
var result = Seq[List[Int]]()
for(i <- 0 until sortedInput.length - 1){
val diff = sortedInput(i+1) - sortedInput(i)
if(min > diff){
result = Nil
min = diff
}
if(min == diff){
result :+ List(sortedInput(i),sortedInput(i+1))
}
}
result.toList
}
You're assigning Nil to result and then never assigning anything else.
Because List is immutable result :+ List(...) returns a new list which is then thrown away. You need to assign the new list to result.
A couple of other notes:
It is extremely inefficient (decidedly not "leet") to append to a list. It's much more efficient to prepend (building the result in reverse) and then reverse at the end.
It is also extremely inefficient to access List items by index.
Use of var should generally be avoided in Scala, though this particular usage (contained locally to an otherwise pure function) is not beyond the pale.
I have used Iterators after have worked with Regexes in Scala but I don't really understand the interest.
I know that it has a state and if I call the next() method on it, it will output a different result every time, but I don't see anything I can do with it and that is not possible with an Iterable.
And it doesn't seem to work as Akka Streams (for example) since the following example directly prints all the numbers (without waiting one second as I would expect it):
lazy val a = Iterator({Thread.sleep(1000); 1}, {Thread.sleep(1000); 2}, {Thread.sleep(1000); 3})
while(a.hasNext){ println(a.next()) }
So what is the purpose of using Iterators?
Perhaps, the most useful property of iterators is that they are lazy.
Consider something like this:
(1 to 10000)
.map { x => x * x }
.map { _.toString }
.find { _ == "4" }
This snippet will square 10000 numbers, then generate 10000 strings, and then return the second one.
This on the other hand:
(1 to 10000)
.iterator
.map { x => x * x }
.map { _.toString }
.find { _ == "4" }
... only computes two squares, and generates two strings.
Iterators are also often useful when you need to wrap around some poorly designed (java?) objects in order to be able to handle them in functional style:
val rs: ResultSet = jdbcQuery.executeQuery()
new Iterator {
def next = rs
def hasNext = rs.next
}.map { rs =>
fetchData(rs)
}
Streams are similar to iterators - they are also lazy, and also useful for wrapping:
Stream.continually(rs).takeWhile { _.next }.map(fetchData)
The main difference though is that streams remember the data that gets materialized, so that you can traverse them more than once. This is convenient, but may be costly if the original amount of data is very large, especially, if it gets filtered down to much smaller size:
Source
.fromFile("huge_file.txt")
.getLines
.filter(_ == "")
.toList
This only uses, roughly (ignoring buffering, object overhead, and other implementation specific details), the amount of memory, necessary to keep one line in memory, plus however many empty lines there are in the file.
This on the other hand:
val reader = new FileReader("huge_file.txt")
Stream
.continually(reader.readLine)
.takeWhile(_ != null)
.filter(_ == "")
.toList
... will end up with the entire content of the huge_file.txt in memory.
Finally, if I understand the intent of your example correctly, here is how you could do it with iterators:
val iterator = Seq(1,2,3).iterator.map { n => Thread.sleep(1000); n }
iterator.foreach(println)
// Or while(iterator.hasNext) { println(iterator.next) } as you had it.
There is a good explanation of what iterator is http://www.scala-lang.org/docu/files/collections-api/collections_43.html
An iterator is not a collection, but rather a way to access the
elements of a collection one by one. The two basic operations on an
iterator it are next and hasNext. A call to it.next() will return the
next element of the iterator and advance the state of the iterator.
Calling next again on the same iterator will then yield the element
one beyond the one returned previously. If there are no more elements
to return, a call to next will throw a NoSuchElementException.
First of all you should understand what is wrong with your example:
lazy val a = Iterator({Thread.sleep(1); 1}, {Thread.sleep(1); 2},
{Thread.sleep(2); 3}) while(a.hasNext){ println(a.next()) }
if you look at the apply method of Iterator, you'll see there are no calls by name,so all Thread.sleep are calling at the same time when apply method calls. Also Thread.sleep takes parameter of time to sleep in milliseconds, so if you want to sleep your thread on one second you should pass Thread.sleep(1000).
The companion object has additional methods which allow you do the next:
val a = Iterator.iterate(1)(x => {Thread.sleep(1000); x+1})
Iterator is very useful when you need to work with large data. Also you can implement your own:
val it = new Iterator[Int] {
var i = -1
def hasNext = true
def next(): Int = { i += 1; i }
}
I don't see anything I can do with it and that is not possible with an Iterable
In fact, what most collection can do can also be done with Array, but we don't do that because it's much less convenient
So same reason apply to iterator, if you want to model a mutable state, then iterator makes more sense.
For example, Random is implemented in a way resemble to iterator because it's use case fit more naturally in iterator, rather than iterable.
I am new to Scala and I have a function as follows:
def selectSame(messages: BufferedIterator[Int]) = {
val head = messages.head
messages.takeWhile(_ == head)
}
Which is selecting from a buffered iterator only the elems matching the head. I am subsequently using this code:
val messageStream = List(1,1,1,2,2,3,3)
if (!messageStream.isEmpty) {
var lastTimeStamp = messageStream.head.timestamp
while (!messageStream.isEmpty) {
val messages = selectSame(messageStream).toList
println(messages)
}
Upon first execution I am getting (1,1,1) as expected, but then I only get the List(2), like if I lost one element down the line... Probably I am doing sth wrong with the iterators/lists, but I am a bit lost here.
Scaladoc of Iterator says about takeWhile:
Reuse: After calling this method, one should discard the iterator it
was called on, and use only the iterator that was returned. Using the
old iterator is undefined, subject to change, and may result in
changes to the new iterator as well.
So that's why. This basically means you cannot directly do what you want with Iterators and takeWhile. IMHO, easiest would be to quickly write your own recursive function to do that.
If you want to stick with Iterators, you could use the sameElements method on the Iterator to generate a duplicate where you'd call dropWhile.
Even better: Use span repeatedly:
def selectSame(messages: BufferedIterator[Int]) = {
val head = messages.head
messages.span(_ == head)
}
def iter(msgStream: BufferedIterator[Int]): Unit = if (!msgStream.isEmpty) {
val (msgs, rest) = selectSame(msgStream)
println(msgs.toList)
iter(rest)
}
val messageStream = List(1,1,1,2,2,3,3)
if (!messageStream.isEmpty) {
var lastTimeStamp = messageStream.head.timestamp
iter(messageStream0
}
I am running the following piece of code:
val it = List(1,1,1,2,2,3,3).iterator.buffered
val compare = it.head
it.takeWhile(_ == compare).toList
and it returns (1,1,1). However, if I run this as:
val it = List(1,1,1,2,2,3,3).iterator.buffered
it.takeWhile(_ == it.head).toList
I am getting (1,1). Why is this the case? Isn't head evaluated upon calling takeWhile and the result should be the same?
Because the iterator is mutable, the value of it.head depends on when it is evaluated.
Inspecting the implementation of takeWhile reveals that it removes the head of the iterator before applying the predicate.
So, on the third iteration, it.head evaluated from within the predicate will be 2, because the third element has already been removed.
This is an illustration of why you should prefer immutability. It rules out a whole class of non-obvious behaviour like this.
Adding to #Ben James answer above. Below is takeWhile method code (credits: ben):
def hasNext = hdDefined || tail.hasNext && {
hd = tail.next() //line 2
if (p(hd)) hdDefined = true
else tail = Iterator.empty
hdDefined
}
In the third iteration after line 2, the value is: hd=1 and remaining Iterator is List(2,2,3,3). on calling p(hd), it checks the iterator's head which in this case is 2. Hence it breaks.
I am trying to figure out memory-efficient AND functional ways to process a large scale of data using strings in scala. I have read many things about lazy collections and have seen quite a bit of code examples. However, I run into "GC overhead exceeded" or "Java heap space" issues again and again.
Often the problem is that I try to construct a lazy collection, but evaluate each new element when I append it to the growing collection (I don't now any other way to do so incrementally). Of course, I could try something like initializing an initial lazy collection first and and yield the collection holding the desired values by applying the ressource-critical computations with map or so, but often I just simply do not know the exact size of the final collection a priori to initial that lazy collection.
Maybe you could help me by giving me hints or explanations on how to improve following code as an example, which splits a FASTA (definition below) formatted file into two separate files according to the rule that odd sequence pairs belong to one file and even ones to aother one ("separation of strands"). The "most" straight-forward way to do so would be in a imperative way by looping through the lines and printing into the corresponding files via open file streams (and this of course works excellent). However, I just don't enjoy the style of reassigning to variables holding header and sequences, thus the following example code uses (tail-)recursion, and I would appreciate to have found a way to maintain a similar design without running into ressource problems!
The example works perfectly for small files, but already with files at around ~500mb the code will fail with the standard JVM setups. I do want to process files of "arbitray" size, say 10-20gb or so.
val fileName = args(0)
val in = io.Source.fromFile(fileName) getLines
type itType = Iterator[String]
type sType = Stream[(String, String)]
def getFullSeqs(ite: itType) = {
//val metaChar = ">"
val HeadPatt = "(^>)(.+)" r
val SeqPatt = "([\\w\\W]+)" r
#annotation.tailrec
def rec(it: itType, out: sType = Stream[(String, String)]()): sType =
if (it hasNext) it next match {
case HeadPatt(_,header) =>
// introduce new header-sequence pair
rec(it, (header, "") #:: out)
case SeqPatt(seq) =>
val oldVal = out head
// concat subsequences
val newStream = (oldVal._1, oldVal._2 + seq) #:: out.tail
rec(it, newStream)
case _ =>
println("something went wrong my friend, oh oh oh!"); Stream[(String, String)]()
} else out
rec(ite)
}
def printStrands(seqs: sType) {
import java.io.PrintWriter
import java.io.File
def printStrand(seqse: sType, strand: Int) {
// only use sequences of one strand
val indices = List.tabulate(seqs.size/2)(_*2 + strand - 1).view
val p = new PrintWriter(new File(fileName + "." + strand))
indices foreach { i =>
p.print(">" + seqse(i)._1 + "\n" + seqse(i)._2 + "\n")
}; p.close
println("Done bro!")
}
List(1,2).par foreach (s => printStrand(seqs, s))
}
printStrands(getFullSeqs(in))
Three questions arise for me:
A) Let's assume one needs to maintain a large data structure obtained by processing the initial iterator you get from getLines like in my getFullSeqs method (note the different size of in and the output of getFullSeqs), because transformations on the whole(!) data is required repeatedly, because one does not know which part of the data one will require at any step. My example might not be the best, but how to do so? Is it possible at all??
B) What when the desired data structure is not inherently lazy, say one would like to store the (header -> sequence) pairs into a Map()? Would you wrap it in a lazy collection?
C) My implementation of constructing the stream might reverse the order of the inputted lines. When calling reverse, all elements will be evaluated (in my code, they already are, so this is the actual problem). Is there any way to post-process "from behind" in a lazy fashion? I know of reverseIterator, but is this already the solution, or will this not actually evaluate all elements first, too (as I would need to call it on a list)? One could construct the stream with newVal #:: rec(...), but I would lose tail-recursion then, wouldn't I?
So what I basically need is to add elements to a collection, which are not evaluated by the process of adding. So lazy val elem = "test"; elem :: lazyCollection is not what I am looking for.
EDIT: I have also tried using by-name parameter for the stream argument in rec .
Thank you so much for your attention and time, I really appreciate any help (again :) ).
/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
FASTA is defined as a sequential set of sequences delimited by a single header line. A header is defined as a line starting with ">". Every line below the header is called part of the sequence associated with the header. A sequence ends when a new header is present. Every header is unique. Example:
>HEADER1
abcdefg
>HEADER2
hijklmn
opqrstu
>HEADER3
vwxyz
>HEADER4
zyxwv
Thus, sequence 2 is twice as big as seq 1. My program would split that file into a file A containing
>HEADER1
abcdefg
>HEADER3
vwxyz
and a second file B containing
>HEADER2
hijklmn
opqrstu
>HEADER4
zyxwv
The input file is assumed to consist of an even number of header-sequence pairs.
The key to working with really large data structures is to hold in memory only that which is critical to perform whatever operation you need. So, in your case, that's
Your input file
Your two output files
The current line of text
and that's it. In some cases you can need to store information such as how long a sequence is; in such events, you build the data structures in a first pass and use them on a second pass. Let's suppose, for example, that you decide that you want to write three files: one for even records, one for odd, and one for entries where the total length is less than 300 nucleotides. You would do something like this (warning--it compiles but I never ran it, so it may not actually work):
final def findSizes(
data: Iterator[String], sz: Map[String,Long] = Map(),
currentName: String = "", currentSize: Long = 0
): Map[String,Long] = {
def currentMap = if (currentName != "") sz + (currentName->currentSize) else sz
if (!data.hasNext) currentMap
else {
val s = data.next
if (s(0) == '>') findSizes(data, currentMap, s, 0)
else findSizes(data, sz, currentName, currentSize + s.length)
}
}
Then, for processing, you use that map and pass through again:
import java.io._
final def writeFiles(
source: Iterator[String], targets: Array[PrintWriter],
sizes: Map[String,Long], count: Int = -1, which: Int = 0
) {
if (!source.hasNext) targets.foreach(_.close)
else {
val s = source.next
if (s(0) == '>') {
val w = if (sizes.get(s).exists(_ < 300)) 2 else (count+1)%2
targets(w).println(s)
writeFiles(source, targets, sizes, count+1, w)
}
else {
targets(which).println(s)
writeFiles(source, targets, sizes, count, which)
}
}
}
You then use Source.fromFile(f).getLines() twice to create your iterators, and you're all set. Edit: in some sense this is the key step, because this is your "lazy" collection. However, it's not important just because it doesn't read all memory in immediately ("lazy"), but because it doesn't store any previous strings either!
More generally, Scala can't help you that much from thinking carefully about what information you need to have in memory and what you can fetch off disk as needed. Lazy evaluation can sometimes help, but there's no magic formula because you can easily express the requirement to have all your data in memory in a lazy way. Scala can't interpret your commands to access memory as, secretly, instructions to fetch stuff off the disk instead. (Well, not unless you write a library to cache results from disk which does exactly that.)
One could construct the stream with newVal #:: rec(...), but I would
lose tail-recursion then, wouldn't I?
Actually, no.
So, here's the thing... with your present tail recursion, you fill ALL of the Stream with values. Yes, Stream is lazy, but you are computing all of the elements, stripping it of any laziness.
Now say you do newVal #:: rec(...). Would you lose tail recursion? No. Why? Because you are not recursing. How come? Well, Stream is lazy, so it won't evaluate rec(...).
And that's the beauty of it. Once you do it that way, getFullSeqs returns on the first interaction, and only compute the "recursion" when printStrands asks for it. Unfortunately, that won't work as is...
The problem is that you are constantly modifying the Stream -- that's not how you use a Stream. With Stream, you always append to it. Don't keep "rewriting" the Stream.
Now, there are three other problems I could readily identify with printStrands. First, it calls size on seqs, which will cause the whole Stream to be processed, losing lazyness. Never call size on a Stream. Second, you call apply on seqse, accessing it by index. Never call apply on a Stream (or List) -- that's highly inefficient. It's O(n), which makes your inner loop O(n^2) -- yes, quadratic on the number of headers in the input file! Finally, printStrands keeps a reference to seqs throughout the execution of printStrand, preventing processing elements from being garbage collected.
So, here's a first approximation:
def inputStreams(fileName: String): (Stream[String], Stream[String]) = {
val in = (io.Source fromFile fileName).getLines.toStream
val SeqPatt = "^[^>]".r
def demultiplex(s: Stream[String], skip: Boolean): Stream[String] = {
if (s.isEmpty) Stream.empty
else if (skip) demultiplex(s.tail dropWhile (SeqPatt findFirstIn _ nonEmpty), skip = false)
else s.head #:: (s.tail takeWhile (SeqPatt findFirstIn _ nonEmpty)) #::: demultiplex(s.tail dropWhile (SeqPatt findFirstIn _ nonEmpty), skip = true)
}
(demultiplex(in, skip = false), demultiplex(in, skip = true))
}
The problem with the above, and I'm showing that code just to further guide in the issues of lazyness, is that the instant you do this:
val (a, b) = inputStreams(fileName)
You'll keep a reference to the head of both streams, which prevents garbage collecting them. You can't keep a reference to them, so you have to consume them as soon as you get them, without ever storing them in a "val" or "lazy val". A "var" might do, but it would be tricky to handle. So let's try this instead:
def inputStreams(fileName: String): Vector[Stream[String]] = {
val in = (io.Source fromFile fileName).getLines.toStream
val SeqPatt = "^[^>]".r
def demultiplex(s: Stream[String], skip: Boolean): Stream[String] = {
if (s.isEmpty) Stream.empty
else if (skip) demultiplex(s.tail dropWhile (SeqPatt findFirstIn _ nonEmpty), skip = false)
else s.head #:: (s.tail takeWhile (SeqPatt findFirstIn _ nonEmpty)) #::: demultiplex(s.tail dropWhile (SeqPatt findFirstIn _ nonEmpty), skip = true)
}
Vector(demultiplex(in, skip = false), demultiplex(in, skip = true))
}
inputStreams(fileName).zipWithIndex.par.foreach {
case (stream, strand) =>
val p = new PrintWriter(new File("FASTA" + "." + strand))
stream foreach p.println
p.close
}
That still doesn't work, because stream inside inputStreams works as a reference, keeping the whole stream in memory even while they are printed.
So, having failed again, what do I recommend? Keep it simple.
def in = (scala.io.Source fromFile fileName).getLines.toStream
def inputStream(in: Stream[String], strand: Int = 1): Stream[(String, Int)] = {
if (in.isEmpty) Stream.empty
else if (in.head startsWith ">") (in.head, 1 - strand) #:: inputStream(in.tail, 1 - strand)
else (in.head, strand) #:: inputStream(in.tail, strand)
}
val printers = Array.tabulate(2)(i => new PrintWriter(new File("FASTA" + "." + i)))
inputStream(in) foreach {
case (line, strand) => printers(strand) println line
}
printers foreach (_.close)
Now this won't keep anymore in memory than necessary. I still think it's too complex, however. This can be done more easily like this:
def in = (scala.io.Source fromFile fileName).getLines
val printers = Array.tabulate(2)(i => new PrintWriter(new File("FASTA" + "." + i)))
def printStrands(in: Iterator[String], strand: Int = 1) {
if (in.hasNext) {
val next = in.next
if (next startsWith ">") {
printers(1 - strand).println(next)
printStrands(in, 1 - strand)
} else {
printers(strand).println(next)
printStrands(in, strand)
}
}
}
printStrands(in)
printers foreach (_.close)
Or just use a while loop instead of recursion.
Now, to the other questions:
B) It might make sense to do so while reading it, so that you do not have to keep two copies of the data: the Map and a Seq.
C) Don't reverse a Stream -- you'll lose all of its laziness.