Conditional threading through expressions - clojure

I was trying to do something like below,
val = initValue;
if (test1(val)) { val = fn1(val); }
if (test2(val)) { val = fn2(val); }
return val;
The only way I found within clojure core was using cond->. I was hoping I should be able to do this
(cond-> initValue
test1 fn1
test2 fn2)
However, the condition in cond-> is not a function. It doesn't seem to allow me to pass the result of fn1 to test2.
What's the idiomatic way to do this?

Okay. Well you have a data dependency between the function results and your predicates, so the "nicest" thing I came up using only clojure.core is to compose as-> and cond->
(as-> initValue data
(cond-> data (test1 data) (f1 data))
(cond-> data (test2 data) (f2 data)))
Another approach would be my own update-when helper...
(defn ->when-update
"Function of a value, a predicate, an updater and optional
varargs. If the predicate is true of the value, returns (apply f x
args), otherwise returns x.
Example:
(-> 1 (->when-update #(<= 0 %) inc))"
[x pred f & args]
(if (pred x)
(apply f x args)
x))
which lets us write
(-> initValue
(->when-update test1 f1)
(->when-update test2 f2))

Will this do?
(defmacro cond-chain [init & stuff]
(let [pairs (partition 2 stuff)
step-form (fn [[test func]]
`((fn [x#] (if (~test x#) (~func x#) x#))))]
(list* '->> init (map step-form pairs))))
For example,
(cond-chain 7, even? inc, odd? #(* 2 %))
;14
(cond-chain 7, odd? inc, odd? #(* 2 %))
;8
(cond-chain 7, zero? inc, even? #(* 2 %))
;7
As you can see, it constructs a form that conditionally applies each of a series of functions.
Or, without resorting to macros:
(defn cond-chain [init & stuff]
(let [pairs (partition 2 stuff)]
(reduce (fn [acc [test func]] (if (test acc) (func acc) acc)) init pairs)))

Related

Make (map f c1 c2) map (count c1) times, even if c2 has less elements

When doing
(map f [0 1 2] [:0 :1])
f will get called twice, with the arguments being
0 :0
1 :1
Is there a simple yet efficient way, i.e. without producing more intermediate sequences etc., to make f get called for every value of the first collection, with the following arguments?
0 :0
1 :1
2 nil
Edit Addressing question by #fl00r in the comments.
The actual use case that triggered this question needed map to always work exactly (count first-coll) times, regardless if the second (or third, or ...) collection was longer.
It's a bit late in the game now and somewhat unfair after having accepted an answer, but if a good answer gets added that only does what I specifically asked for - mapping (count first-coll) times - I would accept that.
You could do:
(map f [0 1 2] (concat [:0 :1] (repeat nil)))
Basically, pad the second coll with an infinite sequence of nils. map stops when it reaches the end of the first collection.
An (eager) loop/recur form that walks to end of longest:
(loop [c1 [0 1 2] c2 [:0 :1] o []]
(if (or (seq c1) (seq c2))
(recur (rest c1) (rest c2) (conj o (f (first c1) (first c2))))
o))
Or you could write a lazy version of map that did something similar.
A general lazy version, as suggested by Alex Miller's answer, is
(defn map-all [f & colls]
(lazy-seq
(when-not (not-any? seq colls)
(cons
(apply f (map first colls))
(apply map-all f (map rest colls))))))
For example,
(map-all vector [0 1 2] [:0 :1])
;([0 :0] [1 :1] [2 nil])
You would probably want to specialise map-all for one and two collections.
just for fun
this could easily be done with common lisp's do macro. We could implement it in clojure and do this (and much more fun things) with it:
(defmacro cl-do [clauses [end-check result] & body]
(let [clauses (map #(if (coll? %) % (list %)) clauses)
bindings (mapcat (juxt first second) clauses)
nexts (map #(nth % 2 (first %)) clauses)]
`(loop [~#bindings]
(if ~end-check
~result
(do
~#body
(recur ~#nexts))))))
and then just use it for mapping (notice it can operate on more than 2 colls):
(defn map-all [f & colls]
(cl-do ((colls colls (map next colls))
(res [] (conj res (apply f (map first colls)))))
((every? empty? colls) res)))
in repl:
user> (map-all vector [1 2 3] [:a :s] '[z x c v])
;;=> [[1 :a z] [2 :s x] [3 nil c] [nil nil v]]

Clojure threading macro

I'm not sure this is the best place to post, but why doesn't 2) work? Doesn't the threading macro pass the result of seq into (map str)?
;; 1
(map str (seq (str (* 8 8)))) -> ("6" "4")
;; 2
(defn a [x y]
(-> (* x y)
str
seq
(map str)))
(a 8 8) -> Don't know how to create ISeq from: clojure.core$str
You're using the thread-first macro, which inserts each form as the second item of the next, like this:
(-> (* x y) str seq (map str))
(-> (str (* x y)) seq (map str))
(-> (seq (str (* x y))) (map str))
(map (seq (str (* x y))) str)
What you want is the thread-last macro:
(defn a [x y]
(->> (* x y) str seq (map str)))
(a 8 8) ;=> ("6" "4")
as Elogent points out the macro is putting the arguments in the wrong place. In general when working with macros (and especially writing them) it helps to know about macroexpand-1 and combine it with clojure.pprint/pprint to get a clear view of what is actually running:
user> (clojure.pprint/pprint
(macroexpand-1
'(-> (* x y)
str
seq
(map str))))
(map (seq (str (* x y))) str)
nil
Which we can see doesn't quite look right. So next we fiddle with it until it expands to what we expect:
user> (clojure.pprint/pprint
(macroexpand-1
'(->> (* x y)
str
seq
(map str))))
(map str (seq (str (* x y))))
nil
There are a variety of threading macros to help with situations like this, especially as-> which lets you give an explicit name to the threaded value when you need to thread functions that alternate using the first and last argument for the important input:
user> (as-> (* 7 42) x
(str x)
(seq x)
(map str x))
("2" "9" "4")
Here is an alternative that is good to know (it's read from right to left):
(defn a [x y]
((comp (partial map str) seq str *)
x y))
This might be useful in contexts where you want to separate the transformations to apply, from the data they're applied to (I would welcome criticism on the subject 😃).
You might also consider using the it-> threading form from the Tupelo library, which is designed to avoid thread-first vs thread-last worries. Consider this code:
(ns clj.core
(:use tupelo.core))
(defn a [x y]
(it-> (* x y)
(str it)
(seq it)
(map str it)))
(spyx (a 8 8))
(defn -main [] )
Which produces:
(a 8 8) => ("6" "4")
The it-> macro uses the placeholder it to explicitly choose where to place the result of each successive form. This is an easy way to simplify code and avoid this type of error.

repeatedly apply a function to a datastructure

I would like to apply a function some number of times to a datastructure and was wondering if there is a simpler way.
;; simple map and map-incrementing function
(def a {:a 1})
(defn incmap [x] (update-in x [:a] inc))
;; best I could come up with
(reduce (fn [m _] (incmap m)) a (range 10))
;; was hoping for something like this
(repeatedly-apply incmap a 10)
You are looking for iterate:
(iterate f x)
Returns a lazy sequence of x, (f x), (f (f x)) etc. f must be free of side-effects
You just need to take the nth element:
(nth (iterate incmap a) 9)
Using the threading macro:
(-> (iterate incmap a)
(nth 9))

Clojure: Implementing the comp function

4Clojure Problem 58 is stated as:
Write a function which allows you to create function compositions. The parameter list should take a variable number of functions, and create a function applies them from right-to-left.
(= [3 2 1] ((__ rest reverse) [1 2 3 4]))
(= 5 ((__ (partial + 3) second) [1 2 3 4]))
(= true ((__ zero? #(mod % 8) +) 3 5 7 9))
(= "HELLO" ((__ #(.toUpperCase %) #(apply str %) take) 5 "hello world"))
Here __ should be replaced by the solution.
In this problem the function comp should not be employed.
A solution I found is:
(fn [& xs]
(fn [& ys]
(reduce #(%2 %1)
(apply (last xs) ys) (rest (reverse xs)))))
It works. But I don't really understand how the reduce works here. How does it represent (apply f_1 (apply f_2 ...(apply f_n-1 (apply f_n args))...)?
Let's try modifying that solution in 3 stages. Stay with each for a while and see if you get it. Stop if and when you do lest I confuse you more.
First, let's have more descriptive names
(defn my-comp [& fns]
(fn [& args]
(reduce (fn [result-so-far next-fn] (next-fn result-so-far))
(apply (last fns) args) (rest (reverse fns)))))
then factor up some
(defn my-comp [& fns]
(fn [& args]
(let [ordered-fns (reverse fns)
first-result (apply (first ordered-fns) args)
remaining-fns (rest ordered-fns)]
(reduce
(fn [result-so-far next-fn] (next-fn result-so-far))
first-result
remaining-fns))))
next replace reduce with a loop which does the same
(defn my-comp [& fns]
(fn [& args]
(let [ordered-fns (reverse fns)
first-result (apply (first ordered-fns) args)]
(loop [result-so-far first-result, remaining-fns (rest ordered-fns)]
(if (empty? remaining-fns)
result-so-far
(let [next-fn (first remaining-fns)]
(recur (next-fn result-so-far), (rest remaining-fns))))))))
My solution was:
(fn [& fs]
(reduce (fn [f g]
#(f (apply g %&))) fs))
Lets try that for:
((
(fn [& fs]
(reduce (fn [f g]
#(f (apply g %&))) fs))
#(.toUpperCase %)
#(apply str %)
take)
5 "hello world"))
fs is a list of the functions:
#(.toUpperCase %)
#(apply str %)
take
The first time through the reduce, we set
f <--- #(.toUpperCase %)
g <--- #(apply str %)
We create an anonymous function, and assign this to the reduce function's accumulator.
#(f (apply g %&)) <---- uppercase the result of apply str
Next time through the reduce, we set
f <--- uppercase the result of apply str
g <--- take
Again we create a new anonymous function, and assign this to the reduce function's accumulator.
#(f (apply g %&)) <---- uppercase composed with apply str composed with take
fs is now empty, so this anonymous function is returned from reduce.
This function is passed 5 and "hello world"
The anonymous function then:
Does take 5 "hello world" to become (\h \e \l \l \o)
Does apply str to become "hello"
Does toUppercase to become "HELLO"
Here's an elegent (in my opinion) definition of comp:
(defn comp [& fs]
(reduce (fn [result f]
(fn [& args]
(result (apply f args))))
identity
fs))
The nested anonymous functions might make it hard to read at first, so let's try to address that by pulling them out and giving them a name.
(defn chain [f g]
(fn [& args]
(f (apply g args))))
This function chain is just like comp except that it only accepts two arguments.
((chain inc inc) 1) ;=> 3
((chain rest reverse) [1 2 3 4]) ;=> (3 2 1)
((chain inc inc inc) 1) ;=> ArityException
The definition of comp atop chain is very simple and helps isolate what reduce is bringing to the show.
(defn comp [& fs]
(reduce chain identity fs))
It chains together the first two functions, the result of which is a function. It then chains that function with the next, and so on.
So using your last example:
((comp #(.toUpperCase %) #(apply str %) take) 5 "hello world") ;=> "HELLO"
The equivalent only using chain (no reduce) is:
((chain identity
(chain (chain #(.toUpperCase %)
#(apply str %))
take))
5 "hello world")
;=> "HELLO"
At a fundamental level, reduce is about iteration. Here's what an implementation in an imperative style might look like (ignoring the possibility of multiple arities, as Clojure's version supports):
def reduce(f, init, seq):
result = init
for item in seq:
result = f(result, item)
return result
It's just capturing the pattern of iterating over a sequence and accumulating a result. I think reduce has a sort of mystique around it which can actually make it much harder to understand than it needs to be, but if you just break it down you'll definitely get it (and probably be surprised how often you find it useful).
Here is my solution:
(defn my-comp
([] identity)
([f] f)
([f & r]
(fn [& args]
(f (apply (apply my-comp r) args)))))
I like A. Webb's solution better, though it does not behave exactly like comp because it does not return identity when called without any arguments. Simply adding a zero-arity body would fix that issue though.
Consider this example:
(def c (comp f1 ... fn-1 fn))
(c p1 p2 ... pm)
When c is called:
first comp's rightmost parameter fn is applied to the p* parameters ;
then fn-1 is applied to the result of the previous step ;
(...)
then f1 is applied to the result of the previous step, and its result is returned
Your sample solution does exactly the same.
first the rightmost parameter (last xs) is applied to the ys parameters:
(apply (last xs) ys)
the remaining parameters are reversed to be fed to reduce:
(rest (reverse xs))
reduce takes the provided initial result and list of functions and iteratively applies the functions to the result:
(reduce #(%2 %1) ..init.. ..functions..)

Piping data through arbitrary functions in Clojure

I know that the -> form can be used to pass the results of one function result to another:
(f1 (f2 (f3 x)))
(-> x f3 f2 f1) ; equivalent to the line above
(taken from the excellent Clojure tutorial at ociweb)
However this form requires that you know the functions you want to use at design time. I'd like to do the same thing, but at run time with a list of arbitrary functions.
I've written this looping function that does it, but I have a feeling there's a better way:
(defn pipe [initialData, functions]
(loop [
frontFunc (first functions)
restFuncs (rest functions)
data initialData ]
(if frontFunc
(recur (first restFuncs) (rest restFuncs) (frontFunc data) )
data )
) )
What's the best way to go about this?
I must admit I'm really new to clojure and I might be missing the point here completely, but can't this just be done using comp and apply?
user> (defn fn1 [x] (+ 2 x))
user> (defn fn2 [x] (/ x 3))
user> (defn fn3 [x] (* 1.2 x))
user> (defn pipe [initial-data my-functions] ((apply comp my-functions) initial-data))
user> (pipe 2 [fn1 fn2 fn3])
2.8
You can do this with a plain old reduce:
(defn pipe [x fs] (reduce (fn [acc f] (f acc)) x fs))
That can be shortened to:
(defn pipe [x fs] (reduce #(%2 %1) x fs))
Used like this:
user> (pipe [1 2 3] [#(conj % 77) rest reverse (partial map inc) vec])
[78 4 3]
If functions is a sequence of functions, you can reduce it using comp to get a composed function. At a REPL:
user> (def functions (list #(* % 5) #(+ % 1) #(/ % 3)))
#'user/my-list
user> ((reduce comp functions) 9)
20
apply also works in this case because comp takes a variable number of arguments:
user> (def functions (list #(* % 5) #(+ % 1) #(/ % 3)))
#'user/my-list
user> ((apply comp functions) 9)
20