Clojure: function composition at runtime - clojure

Problem:
Suppose I have a set of functions f_1 ... f_n that I want to compose at runtime, such that I get for example:
(f_a (f_b (f_c) (f_d)) (f_e))
Therefore I need the types of the parameters and the return value of each function in order to know, which functions I can plug into each other.
First Attempt: Annotate each function
(defn foo [n f]
^{:params [Number clojure.lang.Fn]
:return String}
(do stuff with f and n, return a string))
I don't like this approach because of obvious reasons, such as if I wanted to use clojure.core as the set of functions I would have to annotate every function, which wouldn't be very desirable.
Questions
How would you attempt to solve this problem?
Could core.typed help me with that?

I do similar things when composing the search query to pass to solr and use a map for the arguments to all the functions and have them all return a map with whatever changes the function decided to make contained in the map, and everything else returned unchanged. So in short i would:
use a map for the input and output of every function
core.typed is not helpful because everything is a map
prismatic.schema is very helpful because you can use it to know what keys are required and to write tests that validate the structure of these maps.
Projects/people with more of an inclination to statically typed functional languages will likely turn to monads in cases like this because they are a powerful tool for describing composition in a type safe way.

Related

Racket: Mapping from a k-tuple to an n-tuple

suppose we are given a 4-tuple (1,2,3,"cookies") and like to map it to a smaller tuple (1,2,3). How can this mapping be achieved? Is there something like a 'slice' function as in e.g. python?
Also another question in this context: how can string like e.g. "1.5" be converted into a float 1.5? Is there something like a 'toFloat' function?
--> found here a solution. My apologies for the insufficient research in stackoverflow. (see: Turn string into number in Racket)
Thank you for any hints
You could always create your own function, a sort of "my-4-tuple-to-3-tuple" function that just makes a new tuple based on the old one. This is bad if you have a lot of different 4 tuples though because it's not a very generic solution.
For example... if you represent your tuple as a list.
(define (4tuple-to-3tuple 4tuple)
(list (first 4tuple) (second 4tuple) (third 4tuple))
I have no actually used it on a decimal but you can use
(string->number "1.5") it should work, however there might be a number to real or nunber to float tho
Use drop and take.
If you need to remove something from the end of a list, do something like this:
`(reverse (drop (reverse xs) 5)`
Use rest to remove a single element:
`(reverse (rest (reverse xs))`
Note that single linked lists are a bad representation choice if you need to manipulate the end of the list often.
To convert a string into a number, use string->number.
Docs on drop:
http://docs.racket-lang.org/reference/pairs.html?q=drop
Docs on string->number:
http://docs.racket-lang.org/reference/generic-numbers.html?q=string-%3Enumber
use vector instead of tulip
use vector-copy to get splice
the link to vector: http://docs.racket-lang.org/reference/vectors.html

Clojure let vs Common Lisp let

In Common Lisp, the let uses a list for a bindings, i.e:
(let ((var1 1)
(var2 2))
...)
While Clojure uses a vector instead:
(let [a 1
b 2]
...)
Is there any specific reason, other than readability, for Clojure to use a vector?
You can find Rich Hickey's argument at Simple Made Easy - slide 14, about 26 minutes in:
Rich's line on this was as follows
"Since we were talking about syntax, let’s look at
classic Lisp. It seems to be the simplest of syntax, everything is a
parenthesized list of symbols, numbers, and a few other things. What
could be simpler? But in reality, it is not the simplest, since to
achieve that uniformity, there has to be substantial overloading of
the meaning of lists. They might be function calls, grouping
constructs, or data literals, etc. And determining which requires
using context, increasing the cognitive load when scanning code to
assess its meaning. Clojure adds a couple more composite data literals
to lists, and uses them for syntax. In doing so, it means that lists
are almost always call-like things, and vectors are used for grouping,
and maps have their own literals. Moving from one data structure to
three reduces the cognitive load substantially."
One of the things he believes was overloaded in the standard syntax was access time. So vector syntax in arguments is related to the constant access time when you used them. He said:
Seems odd though as it only is valid for that one form...as soon as it is stored in a variable or passed in any way the information is 'lost'. For example...
(defn test [a]
(nth a 0)) ;;<- what is the access time of and element of a?
I personally prefer harsh syntax changes like brackets to be reserved for when the programmer has to switch mental models e.g. for embedded languages.
;; Example showing a possible syntax for an embedded prolog.
{size [],0}
{size([H|T],N) :- size(T,N1), N is N1+1}
(size '(1 2 3 4) 'n) ;; here we are back to lisp code
Such a concept is syntactically constant. You don't 'pass around' structure at runtime. Before runtime (read/macro/compile time) is another matter though so where possible it is often better to keep things as lists.
[edit]
The original source seems to have gone, but here is another record of the interview: https://gist.github.com/rduplain/c474a80d173e6ae78980b91bc92f43d1#file-code-quarterly-rich-hickey-2011-md

Can I use the clojure 'for' macro to reverse a string?

This is a follow up to my question "Recursively reverse a sequence in Clojure".
Is it possible to reverse a sequence using the Clojure "for" macro? I'm trying to better understand the limitations and use-cases of this macro.
Here is the code I'm starting from:
((defn reverse-with-for [s]
(for [c s] c))
Possible?
If so, I assume the solution may require wrapping the for macro in some expression that defines a mutable var, or that the body-expr of the for macro will somehow pass a sequence to the next iteration (similar to map).
Clojure for macro is being used with arbitrary Clojure sequences.
These sequences may or may not expose random access like vectors do. So, in general case, you do not have access to the last element of a Clojure sequence without traversing all the way to it, which would make making a pass through it in reverse order not possible.
I'm assumming you had something like this in mind (Java-like pseudocode):
for(int i = n-1; i--; i<=0){
doSomething(array[i]);
}
In this example we know array size n in advance and we can access elements by its index. With Clojure sequences we don't know that. In Java it makes sense to do that with arrays and ArrayLists. Clojure sequences are however much more like linked lists - you have an element, and a reference to next one.
Btw, even if there were a (probably non-idiomatic)* way to do that, its time complexity would be something like O(n^2) which is just not worth the effort compared to much easier solution in the linked post which is O(n^2) for lists and a much better O(n) for vectors (and it is quite elegant and idiomatic. In fact, the official reverse has that implementation).
EDIT:
A general advice: Don't try to do imperative programming in Clojure, it wasn't designed for it. Although many things may seem strange or counter-intuitive (as opposed to well known idioms from imperative programming) once you get used to the functional way of doing things it is a lot, and I mean a lot easier.
Specifically for this question, despite the same name Java (and other C-like) for and Clojure for are not the same thing! First is an actual loop - it defines a flow control. The second one is a comprehension - look at it conceptually as a higher function of a sequence and a function f to be done for each of its element, which returns another sequence of f(element) s. Java for is a statement, it doesn't evaluate to anything, Clojure for (as well as anything else in Clojure) is an expression - it evaluates to the sequence of f(element) s.
Probably the easiest way to get the idea is to play with sequence functions library: http://clojure.org/sequences. Also, you can solve some problems on http://www.4clojure.com/. The first problems are very easy but they gradually get harder as you progress through them.
*As shown in Alexandre's answer the solution to the problem in fact is idiomatic and quite clever. Kudos for that! :)
Here's how you could reverse a string with for:
(defn reverse-with-for [s]
(apply str
(for [i (range (dec (count s)) -1 -1)]
(get s i))))
Note that this code is mutation free. It's the same as:
(defn reverse-with-map [s]
(apply str
(map (partial get s) (range (dec (count s)) -1 -1))))
A simpler solution would be:
(apply str (reverse s))
First of all, as Goran said, for is not a statement - it is an expression, namely sequence comprehension. It construct sequences by iteration through other sequences. So in the form it is meant to be used it is pure function (without side-effects). for can be seen as enhanced map infused with filter. Because of this it cannot be used to hold iteration state as e.g. reduce do.
Secondly, you can express sequence reversal using for and mutable state, e.g. using an atom, which is rough equivalent (not taking into account its concurrency properties) of java variable. But doing so you are facing several problems:
You are breaking main language paradigm so you will definitely get worse looking and behaving code.
Since all clojure mutable state cells are designed to be thread-safe, they all use some kind of illegal concurrent modification protection, and there is no ability to remove it. Consequently, you will get poorer performance characteristics.
In this particular case, like Goran said, sequences are one of the wide-used Clojure abstractions. For example, there are lazy sequences, which could be potentially infinite, so you just cannot walk them to the end. You certainly will have difficulties trying to work with such sequences with imperative techniques.
So don't do it, at least in Clojure :)
EDIT: I forgot to mention it. for returns lazy sequence, so you have to evaluate it in some way in order to apply all state mutations you do in it. Another reason not to do so :)

How do I get core clojure functions to work with my defrecords

I have a defrecord called a bag. It behaves like a list of item to count. This is sometimes called a frequency or a census. I want to be able to do the following
(def b (bag/create [:k 1 :k2 3])
(keys bag)
=> (:k :k1)
I tried the following:
(defrecord MapBag [state]
Bag
(put-n [self item n]
(let [new-n (+ n (count self item))]
(MapBag. (assoc state item new-n))))
;... some stuff
java.util.Map
(getKeys [self] (keys state)) ;TODO TEST
Object
(toString [self]
(str ("Bag: " (:state self)))))
When I try to require it in a repl I get:
java.lang.ClassFormatError: Duplicate interface name in class file compile__stub/techne/bag/MapBag (bag.clj:12)
What is going on? How do I get a keys function on my bag? Also am I going about this the correct way by assuming clojure's keys function eventually calls getKeys on the map that is its argument?
Defrecord automatically makes sure that any record it defines participates in the ipersistentmap interface. So you can call keys on it without doing anything.
So you can define a record, and instantiate and call keys like this:
user> (defrecord rec [k1 k2])
user.rec
user> (def a-rec (rec. 1 2))
#'user/a-rec
user> (keys a-rec)
(:k1 :k2)
Your error message indicates that one of your declarations is duplicating an interface that defrecord gives you for free. I think it might actually be both.
Is there some reason why you cant just use a plain vanilla map for your purposes? With clojure, you often want to use plain vanilla data structures when you can.
Edit: if for whatever reason you don't want the ipersistentmap included, look into deftype.
Rob's answer is of course correct; I'm posting this one in response to the OP's comment on it -- perhaps it might be helpful in implementing the required functionality with deftype.
I have once written an implementation of a "default map" for Clojure, which acts just like a regular map except it returns a fixed default value when asked about a key not present inside it. The code is in this Gist.
I'm not sure if it will suit your use case directly, although you can use it to do things like
user> (:earth (assoc (DefaultMap. 0 {}) :earth 8000000000))
8000000000
user> (:mars (assoc (DefaultMap. 0 {}) :earth 8000000000))
0
More importantly, it should give you an idea of what's involved in writing this sort of thing with deftype.
Then again, it's based on clojure.core/emit-defrecord, so you might look at that part of Clojure's sources instead... It's doing a lot of things which you won't have to (because it's a function for preparing macro expansions -- there's lots of syntax-quoting and the like inside it which you have to strip away from it to use the code directly), but it is certainly the highest quality source of information possible. Here's a direct link to that point in the source for the 1.2.0 release of Clojure.
Update:
One more thing I realised might be important. If you rely on a special map-like type for implementing this sort of thing, the client might merge it into a regular map and lose the "defaulting" functionality (and indeed any other special functionality) in the process. As long as the "map-likeness" illusion maintained by your type is complete enough for it to be used as a regular map, passed to Clojure's standard function etc., I think there might not be a way around that.
So, at some level the client will probably have to know that there's some "magic" involved; if they get correct answers to queries like (:mars {...}) (with no :mars in the {...}), they'll have to remember not to merge this into a regular map (merge-ing the other way around would work fine).

Sum function doesn't work :/

A while ago this code seemed to work, but now it doesn't anymore. Is there something wrong with it?
user=> (defn sum [a b] (a + b))
#'user/sum
user=> (sum 3 4)
java.lang.ClassCastException: java.lang.Integer cannot be cast to clojure.lang.IFn (NO_SOURCE_FILE:0)
user=>
It's probably time to take a break :)
Perhaps try:
(defn sum [a b] (+ a b))
Clojure, being a member of the Lisp family, always uses prefix notation for arithmetic expressions.
Since you're trying to write such a function, I wonder if it might be helpful to point out that + is just a regular function in Clojure, as it is in any other Lisp. In fact, there are no special "arithmetic expressions" in Clojure, just function applications whose arguments are numbers and whose operator functions perform arithmetic operations.
In fact, in most Lisps there are no special "operators" in the sense distinguished pieces of syntax which would need to be wrapped for their functionality to be available in the form of a function. Clojure is unusual as a Lisp in this regard in that it explicitly depends on its host platform for some fairly basic features; e.g. floating-point exponentiation is available in vanilla Clojure in the form of the pow method of the java.lang.Math class (but see clojure.contrib.math for some nice functions to perform various arithmetic ops not in clojure.core).
Java methods would have to be wrapped in Clojure to be used as functions (e.g. passed to map etc.), so in that way they might bring to mind operators from languages such as C, Python or indeed Java itself. They are still called using prefix notation, though.
There is already a + function in clojure.core, so be very careful when redefining it, you're probably better off avoiding this.
All Lisps including Clojure use prefix notation. You should call a function like (fn-name args). In your example Clojure tries to call an Integer as a function, because that's the first element of the list. Integers do not implement the IFn interface, so that explains the error message.
You can in fact get an infix notation for mathematical functions using a function. For this function see page 13 of the first chapter of The Joy Of Clojure, freely available here: http://www.manning.com/fogus/Fogus_MEAP_Ch1.pdf.