How can operations like map, filter and reverse can be defined in terms of a reduce?

Question

In this blog entry, \"CSP and transducers in JavaScript\", the author states:

First, we have to realise that many array (or other collection) operati

Answer 1

This is true, if we don't care about laziness. In Clojure, map and filter are lazy, but reduce is eager. Not only is reverse not lazy, but the standard definition uses reduce. Modulo the laziness, we can get equivalent results for the others:

user> (defn eager-map [f coll]
        (reduce (fn [acc v] (conj acc (f v)))
        []
        coll))
#'user/eager-map
user> (eager-map inc (range 10))
[1 2 3 4 5 6 7 8 9 10]

user> (defn eager-filter [f coll]
         (reduce (fn [acc v] (if (f v) (conj acc v) acc))
                 []
                 coll))
#'user/eager-filter
user> (eager-filter even? (range 10))
[0 2 4 6 8]

user> (defn eager-reverse [coll]
         (reduce conj () coll))
#'user/eager-reverse
user> (eager-reverse (range 10))
(9 8 7 6 5 4 3 2 1 0)