How do you convert a expression into a predicate? (Clojure) - clojure

Given that I have a expression of the form
'(map? %)
How do I convert it into something like
'#(map? %)
So that I can ultimately expand it into something like
'(apply #(map? %) value)
I think I should use a macro in some way, but am not sure how.

The # invokes a reader macro and reader macros expansion happen before normal macros expansion happens. So to do what you have mentioned, you need to go through the reader in your macro using read-string as shown below.
(defmacro pred [p v]
(let [s# (str \# (last p))]
`(apply ~(read-string s#) ~v)))
user=> (pred '(map? %) [{}])
true
user=> (pred '(map? %) [[]])
false
In case the data i.e the predicate expression is available at runtime then you need to use a function (which is more flexible then macro).
(defn pred [p v]
(let [s (read-string (str \# p))]
(eval `(apply ~s ~v))))
user=> (map #(pred % [12]) ['(map? %)'(even? %)])
(false true)

#(...) is a reader macro. I don't think that you can generate expression with reader macro. For example '#(map? %) will automatically expand into (fn* [p1__352#] (map? p1__352#)) or something similar.
Here's a somewhat relevant discussion on other reader macro.
Would it be possible to change format of the predicate? If it looked something like:
'([arg1] (map? arg1))
Then it would be trivial to make a function form it:
(cons 'fn '([arg1] (map? arg1)))
(def pred (eval (cons 'fn '([p](map? p)))))
#'predicate.core/pred
(pred {})
true
(pred 10)
false
Now please don't hate me for what I'm going to post next. I wrote an overly simplified version of the function reader macro:
(defn get-args [p]
(filter #(.matches (str %) "%\\d*")
(flatten p)))
(defn gen-args [p]
(into []
(into (sorted-set)
(get-args p))))
(defmacro simulate-reader [p]
(let [arglist (gen-args p)
p (if (= (str (first p)) "quote")
(second p)
p)]
(list 'fn (gen-args p) p)))
Using it is very straight-forward:
((simulate-reader '(map? %)) {}) ; -> true
; or without quote
((simulate-reader (map? %)) {})
; This also works:
((simulate-reader '(+ %1 %2)) 10 5) ; -> 15
The difference with the other solution given by #Ankur is:
I like mine less. I just thought it was a fun thing to do.
Does not require conversion to string and then applying reader macro to it.

Related

Clojure functions which perform symbolic simplification using 'and'

I am new to Clojure and I'm learning how to write a program that can simplify logical expressions (just 'and' for now to figure out how things work first). For example:
(and-simplify '(and true)) => true
(and-simplify '(and x true)) => x
(and-simplify '(and true false x)) => false
(and-simplify '(and x y z true)) => (and x y z)
I already knew how to simplify two arguments, that everything I can do right now is:
(defn and-simplify []
(def x (and true false))
println x)
(and-simplify)
I've read this post and tried to modify my code a little bit but it doesn't seem to get me anywhere:
(defn and-simplify [&expr]
(def (and &expr))
)
What is the correct way that I should have done?
Here's my take on it.
(defn simplify-and
[[op & forms]]
(let [known-falsy? #(or (false? %) (nil? %))
known-truthy? #(and (not (symbol? %))
(not (seq? %))
(not (known-falsy? %)))
falsy-forms (filter known-falsy? forms)
unknown-forms (remove known-truthy? forms)]
(if (seq falsy-forms)
(first falsy-forms)
(case (count unknown-forms)
0 true
1 (first unknown-forms)
(cons op unknown-forms)))))
(comment (simplify-and `(and true 1 2 a)))
However, we can write a more generic simplify that uses multimethods to simplify lists, so that we can add more optimisations without modifying existing code. Here's that, with optimisations for and, or and + from clojure.core. This simplify only optimises lists based on namespace qualified names.
Check out the examples in the comment form. Hope it makes sense.
(defn- known-falsy? [form]
(or (false? form) (nil? form)))
(defn- known-truthy? [form]
(and (not (symbol? form))
(not (seq? form))
(not (known-falsy? form))))
(declare simplify)
(defmulti simplify-list first)
(defmethod simplify-list :default [form] form)
(defmethod simplify-list 'clojure.core/and
[[op & forms]]
(let [forms (mapv simplify forms)
falsy-forms (filter known-falsy? forms)
unknown-forms (remove known-truthy? forms)]
(if (seq falsy-forms)
(first falsy-forms)
(case (count unknown-forms)
0 true
1 (first unknown-forms)
(cons op unknown-forms)))))
(defmethod simplify-list 'clojure.core/or
[[op & forms]]
(let [forms (mapv simplify forms)
truthy-forms (filter known-truthy? forms)
unknown-forms (remove known-falsy? forms)]
(if (seq truthy-forms)
(first truthy-forms)
(case (count unknown-forms)
0 nil
1 (first unknown-forms)
(cons op unknown-forms)))))
(defmethod simplify-list 'clojure.core/+
[[op & forms]]
(let [{nums true non-nums false} (group-by number? (mapv simplify forms))
sum (apply + nums)]
(if (seq non-nums)
(cons op (cons sum non-nums))
sum)))
(defn simplify
"takes a Clojure form with resolved symbols and performs
peephole optimisations on it"
[form]
(cond (set? form) (into #{} (map simplify) form)
(vector? form) (mapv simplify form)
(map? form) (reduce-kv (fn [m k v] (assoc m (simplify k) (simplify v)))
{} form)
(seq? form) (simplify-list form)
:else form))
(comment
(simplify `(+ 1 2))
(simplify `(foo 1 2))
(simplify `(and true (+ 1 2 3 4 5 foo)))
(simplify `(or false x))
(simplify `(or false x nil y))
(simplify `(or false x (and y nil z) (+ 1 2)))
)

clojure.lang.LazySeq cannot be cast to java.lang.CharSequence

I am writing a function that, for any given string, replaces any digits within that String with the same number of '.' characters.
Examples:
AT2X -> AT..X
QW3G45 -> QW...G.........
T3Z1 -> T...Z.
I've written the following Clojure function but I am getting an error I don't quite understand:
java.lang.ClassCastException: clojure.lang.LazySeq (in module: Unnamed Module) cannot be case to java.lang.Charsequence
I'm interpreting from the error that I need to force an evaluation of a lazy sequence back into a String (or CharSequence) but I can't figure out where to do so or if this is correct.
(defn dotify
;;Replaces digits with the same number of '.'s for use in traditional board formats
[FEN]
(let [values (doall (filter isDigit (seq FEN)))]
(fn [values]
(let [value (first values)]
(str/replace FEN value (fn dots [number]
(fn [s times]
(if (> times 0)
(recur (str s ".") (dec times)))) "" (Character/digit number 10)) value))
(recur (rest values))) values))
There is a standard clojure.string/replace function that may handle that case. Its last argument might be not just a string or a pattern but also a function that turns a found fragment into what you want.
Let's prepare such a function first:
(defn replacer [sum-str]
(let [num (read-string num-str)]
(apply str (repeat num \.))))
You may try it in this way:
user> (replacer "2")
..
user> (replacer "9")
.........
user> (replacer "22")
......................
user>
Now pass it into replace as follows:
user> (clojure.string/replace "a2b3c11" #"\d+" replacer)
a..b...c...........
Here's a way to do this using reduce:
(defn dotify [s]
(->> s
(reduce (fn [acc elem]
(if (Character/isDigit elem)
(let [dots (Integer/parseInt (str elem))]
(apply conj acc (repeat dots \.)))
(conj acc elem)))
[])
(apply str)))
(dotify "zx4g1z2h")
=> "zx....g.z..h"
And another version using mapcat:
(defn dotify-mapcat [s]
(apply str
(mapcat (fn [c]
(if (Character/isDigit c)
(repeat (Integer/parseInt (str c)) \.)
[c]))
s)))
There are some issues in your example:
Many of the internal forms are themselves functions, but it looks like you just want their bodies or implementations instead of wrapping them in functions.
It's hard to tell by the indentation/whitespace, but the entire function is just recur-ing, the fn above it is not being used or returned.
One of the arguments to str/replace is a function that returns a function.
It helps to break the problem down into smaller pieces. For one, you know you'll need to examine each character in a string and decide whether to just return it or expand it into a sequence of dots. So you can start with a function:
(defn expand-char [^Character c]
(if (Character/isDigit c)
(repeat (Integer/parseInt (str c)) \.)
[c]))
Then use that function that operates on one character at a time in a higher-order function that operates on the entire string:
(apply str (mapcat expand-char s))
=> "zx....g.z..h"
Note this is also ~5x faster than the examples above because of the ^Character type-hint in expand-char function.
You can do this with str/replace too:
(defn expand-char [s]
(if (Character/isDigit ^Character (first s))
(apply str (repeat (Integer/parseInt s) \.))
s))
(str/replace "zx4g1z2h" #"." expand-char)
=> "zx....g.z..h"

Grouping words and more

I'm working on a project to learn Clojure in practice. I'm doing well, but sometimes I get stuck. This time I need to transform sequence of the form:
[":keyword0" "word0" "word1" ":keyword1" "word2" "word3"]
into:
[[:keyword0 "word0" "word1"] [:keyword1 "word2" "word3"]]
I'm trying for at least two hours, but I know not so many Clojure functions to compose something useful to solve the problem in functional manner.
I think that this transformation should include some partition, here is my attempt:
(partition-by (fn [x] (.startsWith x ":")) *1)
But the result looks like this:
((":keyword0") ("word1" "word2") (":keyword1") ("word3" "word4"))
Now I should group it again... I doubt that I'm doing right things here... Also, I need to convert strings (only those that begin with :) into keywords. I think this combination should work:
(keyword (subs ":keyword0" 1))
How to write a function which performs the transformation in most idiomatic way?
Here is a high performance version, using reduce
(reduce (fn [acc next]
(if (.startsWith next ":")
(conj acc [(-> next (subs 1) keyword)])
(conj (pop acc) (conj (peek acc)
next))))
[] data)
Alternatively, you could extend your code like this
(->> data
(partition-by #(.startsWith % ":"))
(partition 2)
(map (fn [[[kw-str] strs]]
(cons (-> kw-str
(subs 1)
keyword)
strs))))
what about that:
(defn group-that [ arg ]
(if (not-empty arg)
(loop [list arg, acc [], result []]
(if (not-empty list)
(if (.startsWith (first list) ":")
(if (not-empty acc)
(recur (rest list) (vector (first list)) (conj result acc))
(recur (rest list) (vector (first list)) result))
(recur (rest list) (conj acc (first list)) result))
(conj result acc)
))))
Just 1x iteration over the Seq and without any need of macros.
Since the question is already here... This is my best effort:
(def data [":keyword0" "word0" "word1" ":keyword1" "word2" "word3"])
(->> data
(partition-by (fn [x] (.startsWith x ":")))
(partition 2)
(map (fn [[[k] w]] (apply conj [(keyword (subs k 1))] w))))
I'm still looking for a better solution or criticism of this one.
First, let's construct a function that breaks vector v into sub-vectors, the breaks occurring everywhere property pred holds.
(defn breakv-by [pred v]
(let [break-points (filter identity (map-indexed (fn [n x] (when (pred x) n)) v))
starts (cons 0 break-points)
finishes (concat break-points [(count v)])]
(mapv (partial subvec v) starts finishes)))
For our case, given
(def data [":keyword0" "word0" "word1" ":keyword1" "word2" "word3"])
then
(breakv-by #(= (first %) \:) data)
produces
[[] [":keyword0" "word0" "word1"] [":keyword1" "word2" "word3"]]
Notice that the initial sub-vector is different:
It has no element for which the predicate holds.
It can be of length zero.
All the others
start with their only element for which the predicate holds and
are at least of length 1.
So breakv-by behaves properly with data that
doesn't start with a breaking element or
has a succession of breaking elements.
For the purposes of the question, we need to muck about with what breakv-by produces somewhat:
(let [pieces (breakv-by #(= (first %) \:) data)]
(mapv
#(update-in % [0] (fn [s] (keyword (subs s 1))))
(rest pieces)))
;[[:keyword0 "word0" "word1"] [:keyword1 "word2" "word3"]]

Clojure local-variables

I want to create a function (thunk) that will return successive elements in a list. What is the best way to do this? I wrote this code based on an apparently flawed understanding of how local variables in clojure work:
(defn reader-for [commands]
(with-local-vars
[stream commands]
(fn []
(let
[r (var-get stream)]
(if (empty? r)
nil
(let
[cur (first r)
_ (var-set stream (rest r))]
cur))))))
In this code I get:
#<CompilerException java.lang.IllegalStateException: Var null/null is unbound. (Chapel.clj:1)>
which seems to suggest that with-local-vars is dynamically scoped. Is that true? Is there any lexically scoped alternative? Thanks for any help.
If you require mutable state, use one of the clojure reference types:
user=> (defn reader-for [coll]
(let [a (atom coll)]
(fn []
(let [x (first #a)]
(swap! a next)
x))))
#'user/reader-for
user=> (def f (reader-for [1 2 3]))
#'user/f
user=> (f)
1
user=> (f)
2
user=> (f)
3
user=> (f)
nil
Also, let is for lexical scoping, binding is for dynamic scoping.
Edit: the thread-safe version as pointed out by Alan.
(defn reader-for [coll]
(let [r (ref coll)]
#(dosync
(let [x (first #r)]
(alter r next)
x))))
And just for fun, a thread-safe version with atoms (don't do this):
(defn reader-for [coll]
(let [a (atom coll)]
(fn []
(let [ret (atom nil)]
(swap! a (fn [[x & xs]]
(compare-and-set! ret nil x)
xs))
#ret))))

Is there a function similar to "andmap" in clojure?

I want to apply a series of tests on my list and make sure that all the tests are passed.
Is there a function similar to "andmap" in Clojure?
You could use every?:
user=> (every? string? '("hi" 1))
false
Here's the documentation on every?.
Clojure 1.3 will add every-pred (and the related some-fn for the "or" version).
clojure.core/every-pred
([p] [p1 p2] [p1 p2 p3] [p1 p2 p3 & ps])
Takes a set of predicates and returns a function f that returns true if all of its
composing predicates return a logical true value against all of its arguments, else it returns
false. Note that f is short-circuiting in that it will stop execution on the first
argument that triggers a logical false result against the original predicates.
A naive implementation might be:
(defn every-pred [& preds] (fn [& args] (every? #(every? % args) preds)))
but the actual implementation will have better performance.
I wrote andmap as a macro which takes predicates as its arguments and builds a function that "wraps an and around the predicates", i.e.,
(andmap integer? odd?)
==>
(fn [x] (and (integer? x)
(odd? x)))
(it doesn't expand to exactly this, but it expands to something equivalent to this)
This has the advantage that it shortcuircuts on the predicates so you can write
(every? (andmap integer? odd?) [1 3 "a string"])
without getting a runtime exception as you would get with Arthurs answer.
Here is the definition of andmap:
(defmacro andmap
([] `(fn [& x#] true))
([p & ps] `(fn [& x#] (and (apply ~p x#)
(apply (andmap ~#ps) x#)))))
It is also possible to define andmap as an function which also short-circuits on it's predicates due to lazyness:
(defn andmap [& ps]
(fn [& x]
(every? true? (map (fn [p] (apply p x)) ps))))
The predicates to andmap can take an arbitrary number of arguments, so it is possible to write
(map (andmap #(and (integer? %1)
(integer? %2))
#(and (odd? %1)
(even? %2))
<)
[1 3 9]
[2 6 "string"])
which evaluates to (true true false).
every? will ask "Does this one function return true for each member of the seq", which is close to what I think you are asking for. An improvement on every? would take a list of functions and ask "Are all these predicates true for every member of this seq".
Here is a first attempt:
(defn andmap? [data tests]
(every? true? (for [d data, f tests]
(f d))))
user> (andmap? '(2 4 8) [even? pos?])
true
user> (andmap? '(2 4 8) [even? odd?])
false