Best way to merge two maps and sum the values of same key? - scala

val map1 = Map(1 -> 9 , 2 -> 20)
val map2 = Map(1 -> 100, 3 -> 300)
I want to merge them, and sum the values of same keys. So the result will be:
Map(2->20, 1->109, 3->300)
Now I have 2 solutions:
val list = map1.toList ++ map2.toList
val merged = list.groupBy ( _._1) .map { case (k,v) => k -> v.map(_._2).sum }
and
val merged = (map1 /: map2) { case (map, (k,v)) =>
map + ( k -> (v + map.getOrElse(k, 0)) )
}
But I want to know if there are any better solutions.

The shortest answer I know of that uses only the standard library is
map1 ++ map2.map{ case (k,v) => k -> (v + map1.getOrElse(k,0)) }

Scalaz has the concept of a Semigroup which captures what you want to do here, and leads to arguably the shortest/cleanest solution:
scala> import scalaz._
import scalaz._
scala> import Scalaz._
import Scalaz._
scala> val map1 = Map(1 -> 9 , 2 -> 20)
map1: scala.collection.immutable.Map[Int,Int] = Map(1 -> 9, 2 -> 20)
scala> val map2 = Map(1 -> 100, 3 -> 300)
map2: scala.collection.immutable.Map[Int,Int] = Map(1 -> 100, 3 -> 300)
scala> map1 |+| map2
res2: scala.collection.immutable.Map[Int,Int] = Map(1 -> 109, 3 -> 300, 2 -> 20)
Specifically, the binary operator for Map[K, V] combines the keys of the maps, folding V's semigroup operator over any duplicate values. The standard semigroup for Int uses the addition operator, so you get the sum of values for each duplicate key.
Edit: A little more detail, as per user482745's request.
Mathematically a semigroup is just a set of values, together with an operator that takes two values from that set, and produces another value from that set. So integers under addition are a semigroup, for example - the + operator combines two ints to make another int.
You can also define a semigroup over the set of "all maps with a given key type and value type", so long as you can come up with some operation that combines two maps to produce a new one which is somehow the combination of the two inputs.
If there are no keys that appear in both maps, this is trivial. If the same key exists in both maps, then we need to combine the two values that the key maps to. Hmm, haven't we just described an operator which combines two entities of the same type? This is why in Scalaz a semigroup for Map[K, V] exists if and only if a Semigroup for V exists - V's semigroup is used to combine the values from two maps which are assigned to the same key.
So because Int is the value type here, the "collision" on the 1 key is resolved by integer addition of the two mapped values (as that's what Int's semigroup operator does), hence 100 + 9. If the values had been Strings, a collision would have resulted in string concatenation of the two mapped values (again, because that's what the semigroup operator for String does).
(And interestingly, because string concatenation is not commutative - that is, "a" + "b" != "b" + "a" - the resulting semigroup operation isn't either. So map1 |+| map2 is different from map2 |+| map1 in the String case, but not in the Int case.)

Quick solution:
(map1.keySet ++ map2.keySet).map {i=> (i,map1.getOrElse(i,0) + map2.getOrElse(i,0))}.toMap

Well, now in scala library (at least in 2.10) there is something you wanted - merged function. BUT it's presented only in HashMap not in Map. It's somewhat confusing. Also the signature is cumbersome - can't imagine why I'd need a key twice and when I'd need to produce a pair with another key. But nevertheless, it works and much cleaner than previous "native" solutions.
val map1 = collection.immutable.HashMap(1 -> 11 , 2 -> 12)
val map2 = collection.immutable.HashMap(1 -> 11 , 2 -> 12)
map1.merged(map2)({ case ((k,v1),(_,v2)) => (k,v1+v2) })
Also in scaladoc mentioned that
The merged method is on average more performant than doing a
traversal and reconstructing a new immutable hash map from
scratch, or ++.

This can be implemented as a Monoid with just plain Scala. Here is a sample implementation. With this approach, we can merge not just 2, but a list of maps.
// Monoid trait
trait Monoid[M] {
def zero: M
def op(a: M, b: M): M
}
The Map based implementation of the Monoid trait that merges two maps.
val mapMonoid = new Monoid[Map[Int, Int]] {
override def zero: Map[Int, Int] = Map()
override def op(a: Map[Int, Int], b: Map[Int, Int]): Map[Int, Int] =
(a.keySet ++ b.keySet) map { k =>
(k, a.getOrElse(k, 0) + b.getOrElse(k, 0))
} toMap
}
Now, if you have a list of maps that needs to be merged (in this case, only 2), it can be done like below.
val map1 = Map(1 -> 9 , 2 -> 20)
val map2 = Map(1 -> 100, 3 -> 300)
val maps = List(map1, map2) // The list can have more maps.
val merged = maps.foldLeft(mapMonoid.zero)(mapMonoid.op)

map1 ++ ( for ( (k,v) <- map2 ) yield ( k -> ( v + map1.getOrElse(k,0) ) ) )

I wrote a blog post about this , check it out :
http://www.nimrodstech.com/scala-map-merge/
basically using scalaz semi group you can achieve this pretty easily
would look something like :
import scalaz.Scalaz._
map1 |+| map2

You can also do that with Cats.
import cats.implicits._
val map1 = Map(1 -> 9 , 2 -> 20)
val map2 = Map(1 -> 100, 3 -> 300)
map1 combine map2 // Map(2 -> 20, 1 -> 109, 3 -> 300)

Starting Scala 2.13, another solution only based on the standard library consists in replacing the groupBy part of your solution with groupMapReduce which (as its name suggests) is an equivalent of a groupBy followed by mapValues and a reduce step:
// val map1 = Map(1 -> 9, 2 -> 20)
// val map2 = Map(1 -> 100, 3 -> 300)
(map1.toSeq ++ map2).groupMapReduce(_._1)(_._2)(_+_)
// Map[Int,Int] = Map(2 -> 20, 1 -> 109, 3 -> 300)
This:
Concatenates the two maps as a sequence of tuples (List((1,9), (2,20), (1,100), (3,300))). For conciseness, map2 is implicitly converted to Seq to adapt to the type of map1.toSeq - but you could choose to make it explicit by using map2.toSeq,
groups elements based on their first tuple part (group part of groupMapReduce),
maps grouped values to their second tuple part (map part of groupMapReduce),
reduces mapped values (_+_) by summing them (reduce part of groupMapReduce).

Andrzej Doyle's answer contains a great explanation of semigroups which allows you to use the |+| operator to join two maps and sum the values for matching keys.
There are many ways something can be defined to be an instance of a typeclass, and unlike the OP you might not want to sum your keys specifically. Or, you might want to do operate on a union rather than an intersection. Scalaz also adds extra functions to Map for this purpose:
https://oss.sonatype.org/service/local/repositories/snapshots/archive/org/scalaz/scalaz_2.11/7.3.0-SNAPSHOT/scalaz_2.11-7.3.0-SNAPSHOT-javadoc.jar/!/index.html#scalaz.std.MapFunctions
You can do
import scalaz.Scalaz._
map1 |+| map2 // As per other answers
map1.intersectWith(map2)(_ + _) // Do things other than sum the values

The fastest and simplest way:
val m1 = Map(1 -> 1.0, 3 -> 3.0, 5 -> 5.2)
val m2 = Map(0 -> 10.0, 3 -> 3.0)
val merged = (m2 foldLeft m1) (
(acc, v) => acc + (v._1 -> (v._2 + acc.getOrElse(v._1, 0.0)))
)
By this way, each of element's immediately added to map.
The second ++ way is:
map1 ++ map2.map { case (k,v) => k -> (v + map1.getOrElse(k,0)) }
Unlike the first way, In a second way for each element in a second map a new List will be created and concatenated to the previous map.
The case expression implicitly creates a new List using unapply method.

Here's what I ended up using:
(a.toSeq ++ b.toSeq).groupBy(_._1).mapValues(_.map(_._2).sum)

This is what I came up with...
def mergeMap(m1: Map[Char, Int], m2: Map[Char, Int]): Map[Char, Int] = {
var map : Map[Char, Int] = Map[Char, Int]() ++ m1
for(p <- m2) {
map = map + (p._1 -> (p._2 + map.getOrElse(p._1,0)))
}
map
}

Using the typeclass pattern, we can merge any Numeric type:
object MapSyntax {
implicit class MapOps[A, B](a: Map[A, B]) {
def plus(b: Map[A, B])(implicit num: Numeric[B]): Map[A, B] = {
b ++ a.map { case (key, value) => key -> num.plus(value, b.getOrElse(key, num.zero)) }
}
}
}
Usage:
import MapSyntax.MapOps
map1 plus map2
Merging a sequence of maps:
maps.reduce(_ plus _)

I've got a small function to do the job, it's in my small library for some frequently used functionality which isn't in standard lib.
It should work for all types of maps, mutable and immutable, not only HashMaps
Here is the usage
scala> import com.daodecode.scalax.collection.extensions._
scala> val merged = Map("1" -> 1, "2" -> 2).mergedWith(Map("1" -> 1, "2" -> 2))(_ + _)
merged: scala.collection.immutable.Map[String,Int] = Map(1 -> 2, 2 -> 4)
https://github.com/jozic/scalax-collection/blob/master/README.md#mergedwith
And here's the body
def mergedWith(another: Map[K, V])(f: (V, V) => V): Repr =
if (another.isEmpty) mapLike.asInstanceOf[Repr]
else {
val mapBuilder = new mutable.MapBuilder[K, V, Repr](mapLike.asInstanceOf[Repr])
another.foreach { case (k, v) =>
mapLike.get(k) match {
case Some(ev) => mapBuilder += k -> f(ev, v)
case _ => mapBuilder += k -> v
}
}
mapBuilder.result()
}
https://github.com/jozic/scalax-collection/blob/master/src%2Fmain%2Fscala%2Fcom%2Fdaodecode%2Fscalax%2Fcollection%2Fextensions%2Fpackage.scala#L190

For anyone coming across an AnyVal error, convert the values as follows.
Error:
"could not find implicit value for parameter num: Numeric[AnyVal]"
(m1.toSeq ++ m2.toSeq).groupBy(_._1).mapValues(_.map(_._2.asInstanceOf[Number].intValue()).sum)

Related

Most efficient way to create matrix from Map's [duplicate]

val map1 = Map(1 -> 9 , 2 -> 20)
val map2 = Map(1 -> 100, 3 -> 300)
I want to merge them, and sum the values of same keys. So the result will be:
Map(2->20, 1->109, 3->300)
Now I have 2 solutions:
val list = map1.toList ++ map2.toList
val merged = list.groupBy ( _._1) .map { case (k,v) => k -> v.map(_._2).sum }
and
val merged = (map1 /: map2) { case (map, (k,v)) =>
map + ( k -> (v + map.getOrElse(k, 0)) )
}
But I want to know if there are any better solutions.
The shortest answer I know of that uses only the standard library is
map1 ++ map2.map{ case (k,v) => k -> (v + map1.getOrElse(k,0)) }
Scalaz has the concept of a Semigroup which captures what you want to do here, and leads to arguably the shortest/cleanest solution:
scala> import scalaz._
import scalaz._
scala> import Scalaz._
import Scalaz._
scala> val map1 = Map(1 -> 9 , 2 -> 20)
map1: scala.collection.immutable.Map[Int,Int] = Map(1 -> 9, 2 -> 20)
scala> val map2 = Map(1 -> 100, 3 -> 300)
map2: scala.collection.immutable.Map[Int,Int] = Map(1 -> 100, 3 -> 300)
scala> map1 |+| map2
res2: scala.collection.immutable.Map[Int,Int] = Map(1 -> 109, 3 -> 300, 2 -> 20)
Specifically, the binary operator for Map[K, V] combines the keys of the maps, folding V's semigroup operator over any duplicate values. The standard semigroup for Int uses the addition operator, so you get the sum of values for each duplicate key.
Edit: A little more detail, as per user482745's request.
Mathematically a semigroup is just a set of values, together with an operator that takes two values from that set, and produces another value from that set. So integers under addition are a semigroup, for example - the + operator combines two ints to make another int.
You can also define a semigroup over the set of "all maps with a given key type and value type", so long as you can come up with some operation that combines two maps to produce a new one which is somehow the combination of the two inputs.
If there are no keys that appear in both maps, this is trivial. If the same key exists in both maps, then we need to combine the two values that the key maps to. Hmm, haven't we just described an operator which combines two entities of the same type? This is why in Scalaz a semigroup for Map[K, V] exists if and only if a Semigroup for V exists - V's semigroup is used to combine the values from two maps which are assigned to the same key.
So because Int is the value type here, the "collision" on the 1 key is resolved by integer addition of the two mapped values (as that's what Int's semigroup operator does), hence 100 + 9. If the values had been Strings, a collision would have resulted in string concatenation of the two mapped values (again, because that's what the semigroup operator for String does).
(And interestingly, because string concatenation is not commutative - that is, "a" + "b" != "b" + "a" - the resulting semigroup operation isn't either. So map1 |+| map2 is different from map2 |+| map1 in the String case, but not in the Int case.)
Quick solution:
(map1.keySet ++ map2.keySet).map {i=> (i,map1.getOrElse(i,0) + map2.getOrElse(i,0))}.toMap
Well, now in scala library (at least in 2.10) there is something you wanted - merged function. BUT it's presented only in HashMap not in Map. It's somewhat confusing. Also the signature is cumbersome - can't imagine why I'd need a key twice and when I'd need to produce a pair with another key. But nevertheless, it works and much cleaner than previous "native" solutions.
val map1 = collection.immutable.HashMap(1 -> 11 , 2 -> 12)
val map2 = collection.immutable.HashMap(1 -> 11 , 2 -> 12)
map1.merged(map2)({ case ((k,v1),(_,v2)) => (k,v1+v2) })
Also in scaladoc mentioned that
The merged method is on average more performant than doing a
traversal and reconstructing a new immutable hash map from
scratch, or ++.
This can be implemented as a Monoid with just plain Scala. Here is a sample implementation. With this approach, we can merge not just 2, but a list of maps.
// Monoid trait
trait Monoid[M] {
def zero: M
def op(a: M, b: M): M
}
The Map based implementation of the Monoid trait that merges two maps.
val mapMonoid = new Monoid[Map[Int, Int]] {
override def zero: Map[Int, Int] = Map()
override def op(a: Map[Int, Int], b: Map[Int, Int]): Map[Int, Int] =
(a.keySet ++ b.keySet) map { k =>
(k, a.getOrElse(k, 0) + b.getOrElse(k, 0))
} toMap
}
Now, if you have a list of maps that needs to be merged (in this case, only 2), it can be done like below.
val map1 = Map(1 -> 9 , 2 -> 20)
val map2 = Map(1 -> 100, 3 -> 300)
val maps = List(map1, map2) // The list can have more maps.
val merged = maps.foldLeft(mapMonoid.zero)(mapMonoid.op)
map1 ++ ( for ( (k,v) <- map2 ) yield ( k -> ( v + map1.getOrElse(k,0) ) ) )
I wrote a blog post about this , check it out :
http://www.nimrodstech.com/scala-map-merge/
basically using scalaz semi group you can achieve this pretty easily
would look something like :
import scalaz.Scalaz._
map1 |+| map2
You can also do that with Cats.
import cats.implicits._
val map1 = Map(1 -> 9 , 2 -> 20)
val map2 = Map(1 -> 100, 3 -> 300)
map1 combine map2 // Map(2 -> 20, 1 -> 109, 3 -> 300)
Starting Scala 2.13, another solution only based on the standard library consists in replacing the groupBy part of your solution with groupMapReduce which (as its name suggests) is an equivalent of a groupBy followed by mapValues and a reduce step:
// val map1 = Map(1 -> 9, 2 -> 20)
// val map2 = Map(1 -> 100, 3 -> 300)
(map1.toSeq ++ map2).groupMapReduce(_._1)(_._2)(_+_)
// Map[Int,Int] = Map(2 -> 20, 1 -> 109, 3 -> 300)
This:
Concatenates the two maps as a sequence of tuples (List((1,9), (2,20), (1,100), (3,300))). For conciseness, map2 is implicitly converted to Seq to adapt to the type of map1.toSeq - but you could choose to make it explicit by using map2.toSeq,
groups elements based on their first tuple part (group part of groupMapReduce),
maps grouped values to their second tuple part (map part of groupMapReduce),
reduces mapped values (_+_) by summing them (reduce part of groupMapReduce).
Andrzej Doyle's answer contains a great explanation of semigroups which allows you to use the |+| operator to join two maps and sum the values for matching keys.
There are many ways something can be defined to be an instance of a typeclass, and unlike the OP you might not want to sum your keys specifically. Or, you might want to do operate on a union rather than an intersection. Scalaz also adds extra functions to Map for this purpose:
https://oss.sonatype.org/service/local/repositories/snapshots/archive/org/scalaz/scalaz_2.11/7.3.0-SNAPSHOT/scalaz_2.11-7.3.0-SNAPSHOT-javadoc.jar/!/index.html#scalaz.std.MapFunctions
You can do
import scalaz.Scalaz._
map1 |+| map2 // As per other answers
map1.intersectWith(map2)(_ + _) // Do things other than sum the values
The fastest and simplest way:
val m1 = Map(1 -> 1.0, 3 -> 3.0, 5 -> 5.2)
val m2 = Map(0 -> 10.0, 3 -> 3.0)
val merged = (m2 foldLeft m1) (
(acc, v) => acc + (v._1 -> (v._2 + acc.getOrElse(v._1, 0.0)))
)
By this way, each of element's immediately added to map.
The second ++ way is:
map1 ++ map2.map { case (k,v) => k -> (v + map1.getOrElse(k,0)) }
Unlike the first way, In a second way for each element in a second map a new List will be created and concatenated to the previous map.
The case expression implicitly creates a new List using unapply method.
Here's what I ended up using:
(a.toSeq ++ b.toSeq).groupBy(_._1).mapValues(_.map(_._2).sum)
This is what I came up with...
def mergeMap(m1: Map[Char, Int], m2: Map[Char, Int]): Map[Char, Int] = {
var map : Map[Char, Int] = Map[Char, Int]() ++ m1
for(p <- m2) {
map = map + (p._1 -> (p._2 + map.getOrElse(p._1,0)))
}
map
}
Using the typeclass pattern, we can merge any Numeric type:
object MapSyntax {
implicit class MapOps[A, B](a: Map[A, B]) {
def plus(b: Map[A, B])(implicit num: Numeric[B]): Map[A, B] = {
b ++ a.map { case (key, value) => key -> num.plus(value, b.getOrElse(key, num.zero)) }
}
}
}
Usage:
import MapSyntax.MapOps
map1 plus map2
Merging a sequence of maps:
maps.reduce(_ plus _)
I've got a small function to do the job, it's in my small library for some frequently used functionality which isn't in standard lib.
It should work for all types of maps, mutable and immutable, not only HashMaps
Here is the usage
scala> import com.daodecode.scalax.collection.extensions._
scala> val merged = Map("1" -> 1, "2" -> 2).mergedWith(Map("1" -> 1, "2" -> 2))(_ + _)
merged: scala.collection.immutable.Map[String,Int] = Map(1 -> 2, 2 -> 4)
https://github.com/jozic/scalax-collection/blob/master/README.md#mergedwith
And here's the body
def mergedWith(another: Map[K, V])(f: (V, V) => V): Repr =
if (another.isEmpty) mapLike.asInstanceOf[Repr]
else {
val mapBuilder = new mutable.MapBuilder[K, V, Repr](mapLike.asInstanceOf[Repr])
another.foreach { case (k, v) =>
mapLike.get(k) match {
case Some(ev) => mapBuilder += k -> f(ev, v)
case _ => mapBuilder += k -> v
}
}
mapBuilder.result()
}
https://github.com/jozic/scalax-collection/blob/master/src%2Fmain%2Fscala%2Fcom%2Fdaodecode%2Fscalax%2Fcollection%2Fextensions%2Fpackage.scala#L190
For anyone coming across an AnyVal error, convert the values as follows.
Error:
"could not find implicit value for parameter num: Numeric[AnyVal]"
(m1.toSeq ++ m2.toSeq).groupBy(_._1).mapValues(_.map(_._2.asInstanceOf[Number].intValue()).sum)

Fold from Map[String,List[Int]] to Map[String,Int]

I'm fairly new to Scala and functional approaches in general. I have a Map that looks something like this:
val myMap: Map[String, List[Int]]
I want to end up something that maps the key to the total of the associated list:
val totalsMap: Map[String, Int]
My initial hunch was to use a for comprehension:
val totalsMap = for (kvPair <- myMap) {
kvPair._2.foldLeft(0)(_+_)
}
But I have no idea what I would put in the yield() clause in order to get a map out of the for comprehension.
You can use mapValues for this,
val totalMap = myMap.mapValues(_.sum)
But mapValues will recalculate the sum every time you get a key from the Map. e.g. If you do totalMap("a") multiple times, it will recalculate the sum each time.
If you don't want this, you should use
val totalMap = myMap map {
case (k, v) => k -> v.sum
}
mapValues would be more suited for this case:
val m = Map[String, List[Int]]("a" -> List(1,2,3), "b" -> List(4,5,6))
m.mapValues(_.foldLeft(0)(_+_))
res1: scala.collection.immutable.Map[String,Int] = Map(a -> 6, b -> 15)
Or without foldLeft:
m.mapValues(_.sum)
val m = Map("hello" -> Seq(1, 1, 1, 1), "world" -> Seq(1, 1))
for ((k, v) <- m) yield (k, v.sum)
yields
Map(hello -> 4, world -> 2)`
The for comprehension will return whatever monadic type you give it. In this case, m is a Map, so that's what's going to come out. The yield must return a tuple. The first element (which becomes the key in each Map entry) is the word you're counting, and the second element (you guessed it, the value in each Map entry) becomes the sum of the original sequence of counts.

Scala: idiomatic way to merge list of maps with the greatest value of each key?

I have a List of Map[Int, Int], that all have the same keys (from 1 to 20) and I'd like to merge their contents into a single Map[Int, Int].
I've read another post on stack overflow about merging maps that uses |+| from the scalaz library.
I've come up with the following solution, but it seems clunky to me.
val defaultMap = (2 to ceiling).map((_,0)).toMap
val factors: Map[Int, Int] = (2 to ceiling). map(primeFactors(_)).
foldRight(defaultMap)(mergeMaps(_, _))
def mergeMaps(xm: Map[Int, Int], ym: Map[Int, Int]): Map[Int,Int] = {
def iter(acc: Map[Int,Int], other: Map[Int,Int], i: Int): Map[Int,Int] = {
if (other.isEmpty) acc
else iter(acc - i + (i -> math.max(acc(i), other(i))), other - i, i + 1)
}
iter(xm, ym, 2)
}
def primeFactors(number: Int): Map[Int, Int] = {
def iter(factors: Map[Int,Int], rem: Int, i: Int): Map[Int,Int] = {
if (i > number) factors
else if (rem % i == 0) iter(factors - i + (i -> (factors(i)+1)), rem / i, i)
else iter(factors, rem, i + 1)
}
iter((2 to ceiling).map((_,0)).toMap, number, 2)
}
Explanation: val factors creates a list of maps that each represent the prime factors for the numbers from 2-20; then these 18 maps are folded into a single map containing the greatest value for each key.
UPDATE
Using the suggestion of #folone, I end up with the following code (a definite improvement over my original version, and I don't have to change the Maps to HashMaps):
import scalaz._
import Scalaz._
import Tags._
/**
* Smallest Multiple
*
* 2520 is the smallest number that can be divided by each of the numbers
* from 1 to 10 without any remainder. What is the smallest positive number
* that is evenly divisible by all of the numbers from 1 to 20?
*
* User: Alexandros Bantis
* Date: 1/29/13
* Time: 8:07 PM
*/
object Problem005 {
def findSmallestMultiple(ceiling: Int): Int = {
val factors = (2 to ceiling).map(primeFactors(_).mapValues(MaxVal)).reduce(_ |+| _)
(1 /: factors.map(m => intPow(m._1, m._2)))(_ * _)
}
private def primeFactors(number: Int): Map[Int, Int] = {
def iter(factors: Map[Int,Int], rem: Int, i: Int): Map[Int,Int] = {
if (i > number) factors.filter(_._2 > 0).mapValues(MaxVal)
else if (rem % i == 0) iter(factors - i + (i -> (factors(i)+1)), rem / i, i)
else iter(factors, rem, i + 1)
}
iter((2 to number).map((_,0)).toMap, number, 2)
}
private def intPow(x: Int, y: Int): Int = {
def iter(acc: Int, rem: Int): Int = {
if (rem == 0) acc
else iter(acc * x, rem -1)
}
if (y == 0) 1 else iter(1, y)
}
}
This solution does not work for general Maps, but if you are using immutable.HashMaps you may consider the merged method:
def merged[B1 >: B](that: HashMap[A, B1])(mergef: ((A, B1), (A, B1)) ⇒ (A, B1)): HashMap[A, B1]
Creates a new map which is the merge of this and the argument hash
map.
Uses the specified collision resolution function if two keys are the
same. The collision resolution function will always take the first
argument from this hash map and the second from that.
The merged method is on average more performant than doing a traversal
and reconstructing a new immutable hash map from scratch, or ++.
Use case:
val m1 = immutable.HashMap[Int, Int](1 -> 2, 2 -> 3)
val m2 = immutable.HashMap[Int, Int](1 -> 3, 4 -> 5)
m1.merged(m2) {
case ((k1, v1), (k2, v2)) => ((k1, math.max(v1, v2)))
}
As your tags suggest, you might be interested in a scalaz solution. Here goes:
> console
[info] Starting scala interpreter...
[info]
Welcome to Scala version 2.10.0 (OpenJDK 64-Bit Server VM, Java 1.7.0_15).
Type in expressions to have them evaluated.
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scala> import scalaz._, Scalaz._, Tags._
import scalaz._
import Scalaz._
import Tags._
There exists a Semigroup instance for Ints under a maximum operation:
scala> Semigroup[Int ## MaxVal]
res0: scalaz.Semigroup[scalaz.##[Int,scalaz.Tags.MaxVal]] = scalaz.Semigroup$$anon$9#15a9a9c6
Let's just use it:
scala> val m1 = Map(1 -> 2, 2 -> 3) mapValues MaxVal
m1: scala.collection.immutable.Map[Int,scalaz.##[Int,scalaz.Tags.MaxVal]] = Map(1 -> 2, 2 -> 3)
scala> val m2 = Map(1 -> 3, 4 -> 5) mapValues MaxVal
m2: scala.collection.immutable.Map[Int,scalaz.##[Int,scalaz.Tags.MaxVal]] = Map(1 -> 3, 4 -> 5)
scala> m1 |+| m2
res1: scala.collection.immutable.Map[Int,scalaz.##[Int,scalaz.Tags.MaxVal]] = Map(1 -> 3, 4 -> 5, 2 -> 3)
If you're interested in how this "tagging" (the ## thing) works, here's a good explanation: http://etorreborre.blogspot.de/2011/11/practical-uses-for-unboxed-tagged-types.html
Starting Scala 2.13, another solution only based on the standard library consists in merging the Maps as sequences before applying a groupMapReduce which (as its name suggests) is an equivalent of a groupBy followed by a mapping and a reduce step on values:
// val map1 = Map(1 -> 2, 2 -> 3)
// val map2 = Map(1 -> 3, 4 -> 5)
(map1.toSeq ++ map2).groupMapReduce(_._1)(_._2)(_ max _)
// Map[Int,Int] = Map(2 -> 3, 4 -> 5, 1 -> 3)
This:
concatenates the two maps as a sequence of tuples (List((1,2), (2,3), (1,3), (4,5))). For conciseness, map2 is implicitly converted to Seq to adopt the type of map1.toSeq - but you could choose to make it explicit by using map2.toSeq.
groups elements based on their first tuple part (group part of groupMapReduce)
maps grouped values to their second tuple part (map part of groupMapReduce)
reduces mapped values (_ max _) by taking their max (reduce part of groupMapReduce)

Scala Map from tuple iterable

Constructing scala.collection.Map from other collections, I constantly find myself writing:
val map = Map(foo.map(x=>(x, f(x)))
However, this doesn't really work since Map.apply takes variable arguments only - so I have to write:
val map = Map(foo.map(x=>(x, f(x)) toSeq :_*)
to get what I want, but that seems painful. Is there a prettier way to construct a Map from an Iterable of tuples?
Use TraversableOnce.toMap which is defined if the elements of a Traversable/Iterable are of type Tuple2. (API)
val map = foo.map(x=>(x, f(x)).toMap
Alternatively you can use use collection.breakOut as the implicit CanBuildFrom argument to the map call; this will pick a result builder based on the expected type.
scala> val x: Map[Int, String] = (1 to 5).map(x => (x, "-" * x))(collection.breakOut)
x: Map[Int,String] = Map(5 -> -----, 1 -> -, 2 -> --, 3 -> ---, 4 -> ----)
It will perform better than the .toMap version, as it only iterates the collection once.
It's not so obvious, but this also works with a for-comprehension.
scala> val x: Map[Int, String] = (for (i <- (1 to 5)) yield (i, "-" * i))(collection.breakOut)
x: Map[Int,String] = Map(5 -> -----, 1 -> -, 2 -> --, 3 -> ---, 4 -> ----)
val map = foo zip (foo map f) toMap

Scala: How to create a Map[K,V] from a Set[K] and a function from K to V?

What is the best way to create a Map[K,V] from a Set[K] and function from K to V?
For example, suppose I have
scala> val s = Set(2, 3, 5)
s: scala.collection.immutable.Set[Int] = Set(2, 3, 5)
and
scala> def func(i: Int) = "" + i + i
func: (i: Int)java.lang.String
What is the easiest way of creating a Map[Int, String](2 -> "22", 3 -> "33", 5 -> "55")
You can use foldLeft:
val func2 = (r: Map[Int,String], i: Int) => r + (i -> func(i))
s.foldLeft(Map.empty[Int,String])(func2)
This will perform better than Jesper's solution, because foldLeft constructs the Map in one pass. Jesper's code creates an intermediate data structure first, which then needs to be converted to the final Map.
Update: I wrote a micro benchmark testing the speed of each of the answers:
Jesper (original): 35s 738ms
Jesper (improved): 11s 618ms
dbyrne: 11s 906ms
Rex Kerr: 12s 206ms
Eastsun: 11s 988ms
Looks like they are all pretty much the same as long as you avoid constructing an intermediate data structure.
What about this:
(s map { i => i -> func(i) }).toMap
This maps the elements of s to tuples (i, func(i)) and then converts the resulting collection to a Map.
Note: i -> func(i) is the same as (i, func(i)).
dbyrne suggests creating a view of the set first (see his answer and comments), which prevents an intermediate collection from being made, improving performance:
(s.view map { i => i -> func(i) }).toMap
scala> import collection.breakOut
import collection.breakOut
scala> val set = Set(2,3,5)
set: scala.collection.immutable.Set[Int] = Set(2, 3, 5)
scala> def func(i: Int) = ""+i+i
func: (i: Int)java.lang.String
scala> val map: Map[Int,String] = set.map(i => i -> func(i))(breakOut)
map: Map[Int,String] = Map(2 -> 22, 3 -> 33, 5 -> 55)
scala>
In addition to the existing answers,
Map() ++ set.view.map(i => i -> f(i))
is pretty short and performs as well as the faster answers (fold/breakOut).
(Note the view to prevent creation of a new collection; it does the remapping as it goes.)
The other solutions lack creativity. Here's my own version, though I'd really like to get rid of the _.head map.
s groupBy identity mapValues (_.head) mapValues func
As with all great languages, there's a million ways to do everything.
Here's a strategy that zips the set with itself.
val s = Set(1,2,3,4,5)
Map(s.zip(s.map(_.toString)).toArray : _*)
EDIT: (_.toString) could be replaced with some function that returns something of type V
Without definition of func(i: Int) using "string repeating" operator *:
scala> s map { x => x -> x.toString*2 } toMap
res2: scala.collection.immutable.Map[Int,String] = Map(2 -> 22, 3 -> 33, 5 -> 55)