Scala "a" + _.toString not behaving like "a".+(_.toString) - scala

As far as I know, the infix operator usage in Scala should be equivalent to the invocation of a method. So:
scala> "a" + 3.toString
res0: java.lang.String = a3
Is the same as:
scala> "a".+(3.toString)
res1: java.lang.String = a3
I came across an occasion where this is not happening, when there is a placeholder. I was doing something more complex, but it can be distilled to:
scala> def x(f:(Int)=>String) = f(3)
x: (f: Int => String)String
scala> x("a" + _.toString)
res3: String = a3
So far so good. But...
scala> x("a".+(_.toString))
<console>:9: error: missing parameter type for expanded function ((x$1) => x$1.toString)
x("a".+(_.toString))
What's the difference here? What am I missing?
Jordi

The _ placeholder can only appear at the topmost Expr in its function. That means
(_.toString)
is itself a function, and "a" + some function of unknown type doesn't make much sense to the compiler.

Your assessment of infix notation is correct, but your understanding of placeholder parameters is flawed.
When you use underscore as a placeholder parameter, you are creating a function. The question is what are the boundaries of that function: where does it start, where does it end? For example, consider this expression:
_ + _ + _
How should it be translated? Here are some alternatives:
(x, y, z) => { x + y + z }
(x, y) => { (z) => { x + y } + z }
(x) => { x + { (y, z) => y + z } }
Well, Scala rule is that the scope is the innermost parenthesis-delimited expression, or the whole expression otherwise. So, in practice, you wrote two different things:
x("a" + _.toString) // is the same thing as
x((y) => "a" + y.toString)
x("a".+(_.toString)) // is the same thing as
x("a".+((y) => y.toString))

Related

Scala syntax: why is anonymous function parameter type parsed differently using parenthesis versus curly braces?

Given Scala 2.12.6:
val list = List(1)
val x = 2
This works:
list.map ( y => x + y )
returning List[Int] = List(3)
and this works:
list.map ( (y: Int) => x + y )
returning the same value.
Same for this:
list.map { (y: Int) => x + y }
And same for this:
list.map { y: Int => x + y }
Yet this fails:
list.map ( y: Int => x + y )
producing the error:
error: not found: type +
list.map ( y: Int => x + y )
^
Why is Scala thinking the + is meant to indicate a type, and where is this difference between using parenthesis and curly braces documented and explained?
The Section 6.23 about anonymous functions says:
In the case of a single untyped formal parameter, (x) => e can be abbreviated to x => e. If an anonymous function (x: T) => e with a single typed parameter appears as the result expression of a block, it can be abbreviated to x: T => e.
Thus, in a block { ... }, the function literal (y: Int) => x + y can be abbreviated to just y: Int => x + y.
Without the block, the entire Int => x + y-part is treated as type ascription, so the error message actually makes sense. For example, here is a context in which the offending expression becomes valid:
type y = Unit
type x = Unit
type +[A, B] = Int
val y = (i: Int) => 42 + i
val list = List(1)
println(
list.map ( y: Int => x + y )
) // happily prints `List(43)`.
This is because there are two ys in two separate scopes (one value, one type alias), so that (y: Int => x + y) becomes (y: Int => +[x, y]), and then (y: Int => Int), which is just a type ascription enforcing that value y is indeed of function type Int => Int (which it is, so everything compiles and runs). Here is another similar example.
My suggestion: stick to the slightly more verbose (foo: Foo) => { ... } notation, it will cause fewer surprises for everyone who tries to read and to modify the code. Otherwise there is some risk that
argument types in bindings collide with type ascriptions
=> of the anonymous lambda collides with function type =>
arithmetic operation + collides with binary infix type constructor +[_,_]
values x, y collide with undefined types x, y.
The fact that same syntax can denote both types and expressions can be somewhat of a double-edged sword.

Accessing Scala pair

Consider the following function definition:
def foo(l: List[(Char, Int)])
The following expression is valid
l.map(t => t._2 + t._1)
Is there a way to access the elements of the pair by name?
I have tried the following, but it does not compile:
l.map((c: Char, x: Int) => c + x)
There is no way to unpack a tuple with round brackets, you'll need curly ones (which apply a partial function):
l.map { case (c, x) => c + x }
In the future, with Dotty, you should be able to unpack it as follows:
l.map((c, x) => c + x)

How is the placeholder different to an explicit parameter in lambda functions? [duplicate]

I want to iterate over a list of values using a beautiful one-liner in Scala.
For example, this one works well:
scala> val x = List(1,2,3,4)
x: List[Int] = List(1, 2, 3, 4)
scala> x foreach println
1
2
3
4
But if I use the placeholder _, it gives me an error:
scala> x foreach println(_ + 1)
<console>:6: error: missing parameter type for expanded function ((x$1) =>x$1.$plus(1))
x foreach println(_ + 1)
^
Why is that? Can't compiler infer type here?
This:
x foreach println(_ + 1)
is equivalent to this:
x.foreach(println(x$1 => x$1 + 1))
There's no indication as to what might be the type of x$1, and, to be honest, it doesn't make any sense to print a function.
You obviously (to me) meant to print x$0 + 1, where x$0 would the the parameter passed by foreach, instead. But, let's consider this... foreach takes, as a parameter, a Function1[T, Unit], where T is the type parameter of the list. What you are passing to foreach instead is println(_ + 1), which is an expression that returns Unit.
If you wrote, instead x foreach println, you'd be passing a completely different thing. You'd be passing the function(*) println, which takes Any and returns Unit, fitting, therefore, the requirements of foreach.
This gets slightly confused because of the rules of expansion of _. It expands to the innermost expression delimiter (parenthesis or curly braces), except if they are in place of a parameter, in which case it means a different thing: partial function application.
To explain this better, look at these examples:
def f(a: Int, b: Int, c: Int) = a + b + c
val g: Int => Int = f(_, 2, 3) // Partial function application
g(1)
Here, we applies the second and third arguments to f, and returned a function requiring just the remaining argument. Note that it only worked as is because I indicated the type of g, otherwise I'd have to indicate the type of the argument I was not applying. Let's continue:
val h: Int => Int = _ + 1 // Anonymous function, expands to (x$1: Int => x$1 + 1)
val i: Int => Int = (_ + 1) // Same thing, because the parenthesis are dropped here
val j: Int => Int = 1 + (_ + 1) // doesn't work, because it expands to 1 + (x$1 => x$1 + 1), so it misses the type of `x$1`
val k: Int => Int = 1 + ((_: Int) + 1) // doesn't work, because it expands to 1 + (x$1: Int => x$1 + 1), so you are adding a function to an `Int`, but this operation doesn't exist
Let discuss k in more detail, because this is a very important point. Recall that g is a function Int => Int, right? So, if I were to type 1 + g, would that make any sense? That's what was done in k.
What confuses people is that what they really wanted was:
val j: Int => Int = x$1 => 1 + (x$1 + 1)
In other words, they want the x$1 replacing _ to jump to outside the parenthesis, and to the proper place. The problem here is that, while it may seem obvious to them what the proper place is, it is not obvious to the compiler. Consider this example, for instance:
def findKeywords(keywords: List[String], sentence: List[String]) = sentence.filter(keywords contains _.map(_.toLowerCase))
Now, if we were to expand this to outside the parenthesis, we would get this:
def findKeywords(keywords: List[String], sentence: List[String]) = (x$1, x$2) => sentence.filter(keywords contains x$1.map(x$2.toLowerCase))
Which is definitely not what we want. In fact, if the _ did not get bounded by the innermost expression delimiter, one could never use _ with nested map, flatMap, filter and foreach.
Now, back to the confusion between anonymous function and partial application, look here:
List(1,2,3,4) foreach println(_) // doesn't work
List(1,2,3,4) foreach (println(_)) // works
List(1,2,3,4) foreach (println(_ + 1)) // doesn't work
The first line doesn't work because of how operation notation works. Scala just sees that println returns Unit, which is not what foreachexpects.
The second line works because the parenthesis let Scala evaluate println(_) as a whole. It is a partial function application, so it returns Any => Unit, which is acceptable.
The third line doesn't work because _ + 1 is anonymous function, which you are passing as a parameter to println. You are not making println part of an anonymous function, which is what you wanted.
Finally, what few people expect:
List(1,2,3,4) foreach (Console println _ + 1)
This works. Why it does is left as an exercise to the reader. :-)
(*) Actually, println is a method. When you write x foreach println, you are not passing a method, because methods can't be passed. Instead, Scala creates a closure and passes it. It expands like this:
x.foreach(new Function1[Any,Unit] { def apply(x$1: Any): Unit = Console.println(x$1) })
The underscore is a bit tricky. According to the spec, the phrase:
_ + 1
is equivalent to
x => x + 1
Trying
x foreach println (y => y + 1)
yields:
<console>:6: error: missing parameter type
x foreach println (y => y + 1)
If you add some types in:
x foreach( println((y:Int) => y + 1))
<console>:6: error: type mismatch;
found : Unit
required: (Int) => Unit
x foreach( println((y:Int) => y + 1))
The problem is that you are passing an anonymous function to println and it's not able to deal with it. What you really want to do (if you are trying to print the successor to each item in the list) is:
x map (_+1) foreach println
scala> for(x <- List(1,2,3,4)) println(x + 1)
2
3
4
5
There is a strange limitation in Scala for the nesting depth of expressions with underscore. It's well seen on the following example:
scala> List(1) map(1+_)
res3: List[Int] = List(2)
scala> Some(1) map (1+(1+_))
<console>:5: error: missing parameter type for expanded function ((x$1) => 1.+(x$1))
Some(1) map (1+(1+_))
^
Looks like a bug for me.
Welcome to Scala version 2.8.0.Beta1-prerelease (Java HotSpot(TM) Client VM, Java 1.6.0_17).
Type in expressions to have them evaluated.
Type :help for more information.
scala> val l1 = List(1, 2, 3)
l1: List[Int] = List(1, 2, 3)
scala>
scala> l1.foreach(println(_))
1
2
3

Unexpected Scala pattern matching syntax

I had a List of Scala tuples like the following:
val l = List((1,2),(2,3),(3,4))
and I wanted to map it in a list of Int where each item is the sum of the Ints in a the corresponding tuple. I also didn't want to use to use the x._1 notation so I solved the problem with a pattern matching like this
def addTuple(t: (Int, Int)) : Int = t match {
case (first, second) => first + second
}
var r = l map addTuple
Doing that I obtained the list r: List[Int] = List(3, 5, 7) as expected. At this point, almost by accident, I discovered that I can achieve the same result with an abbreviated form like the following:
val r = l map {case(first, second) => first + second}
I cannot find any reference to this syntax in the documentation I have. Is that normal? Am I missing something trivial?
See Section 8.5 of the language reference, "Pattern Matching Anonymous Functions".
An anonymous function can be defined by a sequence of cases
{case p1 =>b1 ... case pn => bn }
which appear as an expression without a prior match. The expected type of such an expression must in part be defined. It must be either scala.Functionk[S1, ..., Sk, R] for some k > 0, or scala.PartialFunction[S1, R], where the argument type(s) S1, ..., Sk must be fully determined, but the result type R may be undetermined.
The expected type deternines whether this is translated to a FunctionN or PartialFunction.
scala> {case x => x}
<console>:6: error: missing parameter type for expanded function ((x0$1) => x0$1 match {
case (x # _) => x
})
{case x => x}
^
scala> {case x => x}: (Int => Int)
res1: (Int) => Int = <function1>
scala> {case x => x}: PartialFunction[Int, Int]
res2: PartialFunction[Int,Int] = <function1>
{case(first, second) => first + second} is treated as a PartialFunction literal. See examples in "Partial Functions" section here: http://programming-scala.labs.oreilly.com/ch08.html or section 15.7 of Programming in Scala.
Method map accepts a function. In your first example you create a function, assign it to a variable, and pass it to the map method. In the second example you pass your created function directly, omitting assigning it to a variable. You are doing just the same thing.

Scala foreach strange behaviour

I want to iterate over a list of values using a beautiful one-liner in Scala.
For example, this one works well:
scala> val x = List(1,2,3,4)
x: List[Int] = List(1, 2, 3, 4)
scala> x foreach println
1
2
3
4
But if I use the placeholder _, it gives me an error:
scala> x foreach println(_ + 1)
<console>:6: error: missing parameter type for expanded function ((x$1) =>x$1.$plus(1))
x foreach println(_ + 1)
^
Why is that? Can't compiler infer type here?
This:
x foreach println(_ + 1)
is equivalent to this:
x.foreach(println(x$1 => x$1 + 1))
There's no indication as to what might be the type of x$1, and, to be honest, it doesn't make any sense to print a function.
You obviously (to me) meant to print x$0 + 1, where x$0 would the the parameter passed by foreach, instead. But, let's consider this... foreach takes, as a parameter, a Function1[T, Unit], where T is the type parameter of the list. What you are passing to foreach instead is println(_ + 1), which is an expression that returns Unit.
If you wrote, instead x foreach println, you'd be passing a completely different thing. You'd be passing the function(*) println, which takes Any and returns Unit, fitting, therefore, the requirements of foreach.
This gets slightly confused because of the rules of expansion of _. It expands to the innermost expression delimiter (parenthesis or curly braces), except if they are in place of a parameter, in which case it means a different thing: partial function application.
To explain this better, look at these examples:
def f(a: Int, b: Int, c: Int) = a + b + c
val g: Int => Int = f(_, 2, 3) // Partial function application
g(1)
Here, we applies the second and third arguments to f, and returned a function requiring just the remaining argument. Note that it only worked as is because I indicated the type of g, otherwise I'd have to indicate the type of the argument I was not applying. Let's continue:
val h: Int => Int = _ + 1 // Anonymous function, expands to (x$1: Int => x$1 + 1)
val i: Int => Int = (_ + 1) // Same thing, because the parenthesis are dropped here
val j: Int => Int = 1 + (_ + 1) // doesn't work, because it expands to 1 + (x$1 => x$1 + 1), so it misses the type of `x$1`
val k: Int => Int = 1 + ((_: Int) + 1) // doesn't work, because it expands to 1 + (x$1: Int => x$1 + 1), so you are adding a function to an `Int`, but this operation doesn't exist
Let discuss k in more detail, because this is a very important point. Recall that g is a function Int => Int, right? So, if I were to type 1 + g, would that make any sense? That's what was done in k.
What confuses people is that what they really wanted was:
val j: Int => Int = x$1 => 1 + (x$1 + 1)
In other words, they want the x$1 replacing _ to jump to outside the parenthesis, and to the proper place. The problem here is that, while it may seem obvious to them what the proper place is, it is not obvious to the compiler. Consider this example, for instance:
def findKeywords(keywords: List[String], sentence: List[String]) = sentence.filter(keywords contains _.map(_.toLowerCase))
Now, if we were to expand this to outside the parenthesis, we would get this:
def findKeywords(keywords: List[String], sentence: List[String]) = (x$1, x$2) => sentence.filter(keywords contains x$1.map(x$2.toLowerCase))
Which is definitely not what we want. In fact, if the _ did not get bounded by the innermost expression delimiter, one could never use _ with nested map, flatMap, filter and foreach.
Now, back to the confusion between anonymous function and partial application, look here:
List(1,2,3,4) foreach println(_) // doesn't work
List(1,2,3,4) foreach (println(_)) // works
List(1,2,3,4) foreach (println(_ + 1)) // doesn't work
The first line doesn't work because of how operation notation works. Scala just sees that println returns Unit, which is not what foreachexpects.
The second line works because the parenthesis let Scala evaluate println(_) as a whole. It is a partial function application, so it returns Any => Unit, which is acceptable.
The third line doesn't work because _ + 1 is anonymous function, which you are passing as a parameter to println. You are not making println part of an anonymous function, which is what you wanted.
Finally, what few people expect:
List(1,2,3,4) foreach (Console println _ + 1)
This works. Why it does is left as an exercise to the reader. :-)
(*) Actually, println is a method. When you write x foreach println, you are not passing a method, because methods can't be passed. Instead, Scala creates a closure and passes it. It expands like this:
x.foreach(new Function1[Any,Unit] { def apply(x$1: Any): Unit = Console.println(x$1) })
The underscore is a bit tricky. According to the spec, the phrase:
_ + 1
is equivalent to
x => x + 1
Trying
x foreach println (y => y + 1)
yields:
<console>:6: error: missing parameter type
x foreach println (y => y + 1)
If you add some types in:
x foreach( println((y:Int) => y + 1))
<console>:6: error: type mismatch;
found : Unit
required: (Int) => Unit
x foreach( println((y:Int) => y + 1))
The problem is that you are passing an anonymous function to println and it's not able to deal with it. What you really want to do (if you are trying to print the successor to each item in the list) is:
x map (_+1) foreach println
scala> for(x <- List(1,2,3,4)) println(x + 1)
2
3
4
5
There is a strange limitation in Scala for the nesting depth of expressions with underscore. It's well seen on the following example:
scala> List(1) map(1+_)
res3: List[Int] = List(2)
scala> Some(1) map (1+(1+_))
<console>:5: error: missing parameter type for expanded function ((x$1) => 1.+(x$1))
Some(1) map (1+(1+_))
^
Looks like a bug for me.
Welcome to Scala version 2.8.0.Beta1-prerelease (Java HotSpot(TM) Client VM, Java 1.6.0_17).
Type in expressions to have them evaluated.
Type :help for more information.
scala> val l1 = List(1, 2, 3)
l1: List[Int] = List(1, 2, 3)
scala>
scala> l1.foreach(println(_))
1
2
3