Most functional programming languages (e.g. Common Lisp, Scheme / Racket, Clojure, Haskell, Scala, Ocaml, SML) support some common higher-order functions on lists, such as map, filter, takeWhile, dropWhile, foldl, foldr (see e.g. Common Lisp, Scheme / Racket, Clojure side-by-side reference sheet, the Haskell, Scala, OCaml, and the SML documentation.)

Does C++11 have equivalent standard methods or functions on lists? For example, consider the following Haskell snippet:

let xs = [1, 2, 3, 4, 5]
let ys = map (\x -> x * x) xs

How can I express the second expression in modern standard C++?

std::list<int> xs = ... // Initialize the list in some way.
std::list<int> ys = ??? // How to translate the Haskell expression?

What about the other higher-order functions mentioned above? Can they be directly expressed in C++?