Explanatory conditional evaluation, and monads? - macros

I have a need for something like cond-> which returns the result along with those branches which evaluated true to give that result. Ideally it should be possible to use the explanatory part optionally only for testing and documentation, and have it be normal cond-> in use. I modified cond-> like this:
(defmacro explanatory-cond->
"Adapted from Clojure's cond-> macro to keep a list of which conditions passed during evaluation"
[expr & clauses]
(assert (even? (count clauses)))
(let [g (gensym)
pstep
(fn [[test step]]
`(if ~test
[(-> (if (vector? (first ~g)) (ffirst ~g) (first ~g)) ~step)
(cons [(quote ~test) (quote ~step) (first ~g)] (second ~g))]
~g)
)
]
`(let [~g [~expr nil]
~#(interleave (repeat g) (map pstep (partition 2 clauses)))]
~g)))
which seems to work, but from my shallow knowledge of monads it looks like there might be a case for their use here (boxing and unboxing that vector) - could any gurus comment is this the case & if so, how to go about doing it, and if not is this modification of cond-> the way to go ?

Related

Difference between an implementation of 'when' as a function vs. as a macro

What exactly is different between these implementations of 'when'?
(define-syntax when
(syntax-rules ()
((_ pred b1 ...)
(if pred (begin b1 ...)))))
vs.
(define (my-when pred b1 ...)
(if pred (begin b1 ...)))
For example, when 'my-when' is used in this for loop macro:
(define-syntax for
(syntax-rules ()
((_ (i from to) b1 ...)
(let loop((i from))
(my-when (< i to)
b1 ...
(loop (+ i 1)))))))
an error occurs:
(for (i 0 10) (display i))
; Aborting!: maximum recursion depth exceeded
I do not think 'when' can be implemented as a function, but I do not know why...
Scheme has strict semantics.
This means that all of a function's parameters are evaluated before the function is applied to them.
Macros take source code and produce source code - they don't evaluate any of their parameters.
(Or, well, I suppose they do, but their parameters are syntax - language elements - rather than what you normally think of as values, such as numbers or strings. Macro programming is meta-programming. It's important to be aware of which level you're programming at.)
In your example this means that when my-when is a function, (loop (+ i 1)) must be evaluated before my-when can be applied to it.
This leads to an infinite recursion.
When it's a macro, the my-when form is first replaced with the equivalent if-form
(if (< i to)
(begin
b1 ...
(loop (+ i 1))))
and then the whole thing is evaluated, which means that (loop (+ i 1)) only gets evaluated when the condition is true.
If you implement when as a procedure like you did, then all arguments are evaluated. In your for implementation, the evaluation would be processed like this:
evaluate (< i to)
evaluate expansion result of b1 ...
evaluate (loop (+ i 1)) <- here goes into infinite loop!
evaluate my-when
Item 1-3 can be reverse or undefined order depending on your implementation but the point is nr. 4. If my-when is implemented as a macro, then the macro is the first one to be evaluated.
If you really need to implement with a procedure, then you need to use sort of delaying trick such as thunk. For example:
(define (my-when pred body) (if (pred) (body)))
(my-when (lambda () (< i 10)) (lambda () (display i) (loop (+ i 1))))

Rewrite loop as a mapcar

Looking at Practical Common Lisp, we're looking at a simple automated unit test framework. We're trying to write a macro to be used as such:
(check (= (+ 1 2) 3) (= (- 1 4) 9))
This should expand to something using a previously defined function report-result. The suggested implementation is:
(defmacro check (&body forms)
`(progn
,#(loop for f in forms collect `(report-result ,f ',f))))
However, that expansion seems rather procedural to me. I wanted to replace the loop with a mapcar to expand to something like this:
(mapcar #'(lambda (form) (report-result form 'form)) (list form-1 ... form-n))
However, I'm clearly lacking the macro-writing skills to do so. Can someone come up with one such macro?
In case it's relevant, this is the definition of report-result:
(defun report-result (result form)
(format t "~:[FAIL~;pass~] ... ~a~%" result form))
It's indeed fairly simple: you just place the collect expression into the body of your mapcar:
(defmacro check (&body forms)
`(progn
,#(mapcar #'(lambda (form)
`(report-result ,form ',form))
forms)))
You don't really need to know anything about the "macro-y" stuff that's going on, in order to do the replacement you want, which is simply replacing a loop with some other equivalent expression: it will work just as well in a macro context as it would outside.
If you want to expand to a mapcar you can, but there's no real reason to do so, since the list's size is known at compile time. Here's what that would look like:
(defmacro check (&body forms)
`(let ((results (list ,#(mapcar #'(lambda (form)
`(list ,form ',form))
forms))))
(mapcar #'(lambda (result)
(report-result (car result) (cadr result)))
results)))
Which expands like so
> (macroexpand-1 '(check (+ 1 2) (* 2 3)))
(let ((results (list (list (+ 1 2) '(+ 1 2))
(list (* 2 3) '(* 2 3)))))
(mapcar #'(lambda (result) (report-result (car result) (cadr result)))
results))
Which as you can see is rather awkward: the macro already has the forms like (+ 1 2) available to it, but in order to preserve them to runtime for the mapcar lambda to see, you have to emit the input form twice. And you have to produce the whole list to map over, rather than just producing a list that's "finished" to begin with. Additionally, this produces a list as output, and requires having all the inputs and outputs in memory at once: the original macro with progn produced the inputs and outputs one at a time, and discarded them when finished.

Clojure Nested Macro

Is it possible to macro returned macro? I would like to simplify the code maximum, and I can do this using a macro that returns the function. However, it is too much overhead and it is too slow. To keep the code more readable, I did not use type hints, but even with them my code is ~ 5x slower.
My English is not very precise, so I write what I have and what I wanted to have.
I have this...
(defmacro series [java-array]
`(fn
([i#]
(aget ~java-array i#))
([start# stop#]
(let [limit# (unchecked-subtract-int stop# start#)
result# (double-array limit#)]
(loop [i# 0]
(if (< i# limit#)
(let [r# (double (aget ~java-array i#))]
(aset result# i# r#)
(recur (inc i#)))
result#))))))
I want something like this...
(defmacro series [java-array]
`(defmacro blabla
([i#]
`(aget ~~java-array i#))
([start# stop#]
`(let [limit# (unchecked-subtract-int stop# start#)
result# (double-array limit#)]
(loop [i# 0]
(if (< i# limit#)
(let [r# (double (aget ~~java-array i#))]
(aset result# i# r#)
(recur (inc i#)))
result#))))))
But when I call this...
Wrong number of args (1) passed to: blabla
A simpler example.
I have a lot of java arrays. I do not want to use aget. I want macro to expand to (aget array-name i). I write a macro that expand to (fn [n] (aget array-name i)), but this is unnecessary overhead.
(defmacro series [arr]
`(fn [i#]
(aget (longs ~arr) (int i#))))
I now declare the series, such as "date", and call it in this way (date i), which will return me "i" element of the array.
I think what you're looking for is a way to declare local macros within functions. The clojure.tools.macro package has a macrolet form, which I think you should be able to wrangle into creating a macro for local array lookups.
Here's a little example I put together:
; project.clj
(defproject testproject "1.0.0-SNAPSHOT"
:description "FIXME: write description"
:dependencies [[org.clojure/clojure "1.5.0"]
[org.clojure/tools.macro "0.1.2"]])
; src/testproject/core.clj
(ns testproject.core
(:require [clojure.tools.macro :refer [macrolet]]))
(defn my-test []
(let [n 1000
arr (int-array n (range 10))]
(macrolet [(lookup [i] (list `aget 'arr i))]
(loop [i 0, acc 0]
(if (< i n)
(recur (inc i) (+ acc (lookup i)))
acc)))))
In the example I use macrolet to declare a macro called lookup that will cause (lookup 5) to expand into (lookup arr 5), which is what I think you're looking for.
Notice how you have to be careful when referencing arr from within the local macro definition. If you just declared the macro as`(aget arr ~i), then it tries to find a fully-qualified symbol arr, which doesn't exist. You could alternatively declare the macro as `(aget ~'arr ~i), but I felt that (list `aget 'arr i) looked a lot nicer.
Now you can take it one step further and use defmacro to create a macro that includes macrolet inside, which you can use to simplify the declaration of arrays with a local lookup macro. We leave this as an exercise for the reader.
Since macros are so subtle, and nesting macros in macros only makes things worse, I decided it would probably be more helpful to just give an example and let you figure out how it works:
(defmacro lookup-binding [[fn-sym value] & body]
(let [array-sym (symbol (str fn-sym "-raw"))]
`(let [~array-sym ~value]
(macrolet [(~fn-sym [i#] (list aget '~array-sym i#))]
~#body))))
(defn my-test2 []
(let [n 1000]
(lookup-binding [arr (int-array n (range 10))]
(loop [i 0, acc 0]
(if (< i n)
(recur (inc i) (+ acc (arr i)))
acc)))))
Disclaimer: I'm only trying to show that this is possible, not that it's a good idea. I personally don't think all this extra complexity is worth avoiding aget. I'd suggest just using aget since it's only a few extra characters, and it will make your code more clear/readable.

Common Lisp Backquote/Backtick: How to Use?

I am having trouble with Lisp's backquote read macro. Whenever I try to write a macro that seems to require the use of embedded backquotes (e.g., ``(w ,x ,,y) from Paul Graham's ANSI Common Lisp, page 399), I cannot figure out how to write my code in a way that compiles. Typically, my code receives a whole chain of errors preceded with "Comma not inside a backquote." Can someone provide some guidelines for how I can write code that will evaluate properly?
As an example, I currently need a macro which takes a form that describes a rule in the form of '(function-name column-index value) and generates a predicate lambda body to determine whether the element indexed by column-index for a particular row satisfies the rule. If I called this macro with the rule '(< 1 2), I would want a lambda body that looks like the following to be generated:
(lambda (row)
(< (svref row 1) 2))
The best stab I can make at this is as follows:
(defmacro row-satisfies-rule (rule)
(let ((x (gensym)))
`(let ((,x ,rule))
(lambda (row)
(`,(car ,x) (svref row `,(cadr ,x)) `,(caddr ,x))))))
Upon evaluation, SBCL spews the following error report:
; in: ROW-SATISFIES-RULE '(< 1 2)
; ((CAR #:G1121) (SVREF ROW (CADR #:G1121)) (CADDR #:G1121))
;
; caught ERROR:
; illegal function call
; (LAMBDA (ROW) ((CAR #:G1121) (SVREF ROW (CADR #:G1121)) (CADDR #:G1121)))
; ==>
; #'(LAMBDA (ROW) ((CAR #:G1121) (SVREF ROW (CADR #:G1121)) (CADDR #:G1121)))
;
; caught STYLE-WARNING:
; The variable ROW is defined but never used.
; (LET ((#:G1121 '(< 1 2)))
; (LAMBDA (ROW) ((CAR #:G1121) (SVREF ROW (CADR #:G1121)) (CADDR #:G1121))))
;
; caught STYLE-WARNING:
; The variable #:G1121 is defined but never used.
;
; compilation unit finished
; caught 1 ERROR condition
; caught 2 STYLE-WARNING conditions
#<FUNCTION (LAMBDA (ROW)) {2497F245}>
How can I write macros to generate the code I need, and in particular, how do I implement row-satisfies-rule?
Using the ideas from Ivijay and discipulus, I have modified the macro so that it compiles and works, even allowing forms to be passed as the arguments. It runs a bit differently from my originally planned macro since I determined that including row as an argument made for smoother code. However, it is ugly as sin. Does anyone know how to clean it up so it performs the same without the call to eval?
(defmacro row-satisfies-rule-p (row rule)
(let ((x (gensym))
(y (gensym)))
`(let ((,x ,row)
(,y ,rule))
(destructuring-bind (a b c) ,y
(eval `(,a (svref ,,x ,b) ,c))))))
Also, an explanation of clean, Lispy ways to get macros to generate code to properly evaluate the arguments at runtime would be greatly appreciated.
First of all, Lisp macros have "destructuring" argument lists. This is a nice feature that means instead of having an argument list (rule) and then taking it apart with (car rule) (cadr rule) (caddr rule), you can simply make the argument list ((function-name column-index value)). That way the macro expects a list of three elements as an argument, and each element of the list is then bound to the corresponding symbol in the arguemnt list. You can use this or not, but it's usually more convenient.
Next, `, doesn't actually do anything, because the backquote tells Lisp not to evaluate the following expression and the comma tells it to evaluate it after all. I think you meant just ,(car x), which evaluates (car x). This isn't a problem anyway if you use destructuring arguments.
And since you're not introducing any new variables in the macro expansion, I don't think (gensym) is necessary in this case.
So we can rewrite the macro like this:
(defmacro row-satisfies-rule ((function-name column-index value))
`(lambda (row)
(,function-name (svref row ,column-index) ,value)))
Which expands just how you wanted:
(macroexpand-1 '(row-satisfies-rule (< 1 2)))
=> (LAMBDA (ROW) (< (SVREF ROW 1) 2))
Hope this helps!
If you need the argument to be evaluated to get the rule set, then here's a nice way to do it:
(defmacro row-satisfies-rule (rule)
(destructuring-bind (function-name column-index value) (eval rule)
`(lambda (row)
(,function-name (svref row ,column-index) ,value))))
Here's an example:
(let ((rules '((< 1 2) (> 3 4))))
(macroexpand-1 '(row-satisfies-rule (car rules))))
=> (LAMBDA (ROW) (< (SVREF ROW 1) 2))
just like before.
If you want to include row in the macro and have it give you your answer straightaway instead of making a function to do that, try this:
(defmacro row-satisfies-rule-p (row rule)
(destructuring-bind (function-name column-index value) rule
`(,function-name (svref ,row ,column-index) ,value)))
Or if you need to evaluate the rule argument (e.g. passing '(< 1 2) or (car rules) instead of (< 1 2)) then just use (destructuring-bind (function-name column-index value) (eval rule)
Actually, a function seems more appropriate than a macro for what you're trying to do. Simply
(defun row-satisfies-rule-p (row rule)
(destructuring-bind (function-name column-index value) rule
(funcall function-name (svref row column-index) value)))
works the same way as the macro and is much neater, without all the backquoting mess to worry about.
In general, it's bad Lisp style to use macros for things that can be accomplished by functions.
One thing to understand is that the backquote feature is completely unrelated to macros. It can be used for list creation. Since source code usually consists of lists, it may be handy in macros.
CL-USER 4 > `((+ 1 2) ,(+ 2 3))
((+ 1 2) 5)
The backquote introduces a quoted list. The comma does the unquote: the expression after the comma is evaluated and the result inserted. The comma belongs to the backquote: the comma is only valid inside a backquote expression.
Note also that this is strictly a feature of the Lisp reader.
Above is basically similar to:
CL-USER 5 > (list '(+ 1 2) (+ 2 3))
((+ 1 2) 5)
This creates a new list with the first expression (not evaluated, because quoted) and the result of the second expression.
Why does Lisp provide backquote notation?
Because it provides a simple template mechanism when one wants to create lists where most of the elements are not evaluated, but a few are. Additionally the backquoted list looks similar to the result list.
you don't need nested backquotes to solve this problem. Also, when it's a macro, you don't have to quote your arguments. So (row-satisfies-rule (< 1 2)) is lispier than (row-satisfies-rule '(< 1 2)).
(defmacro row-satisfies-rule (rule)
(destructuring-bind (function-name column-index value) rule
`(lambda (row)
(,function-name (svref row ,column-index) ,value))))
will solve the problem for all calls in the first form. Solving the problem when in the second form is left as an exercise.

Common Lisp: non-nil arguments and their names to alist, how?

I am quite new to Common Lisp and programming, and I'm trying to write a certain function that turns all non-nil args into an alist. The only way I can think of so far is:
(let ((temp nil))
(if arg1
(setf temp (acons 'arg1 arg1 nil)))
(if arg2
(setf temp (acons 'arg2 arg2 temp)))
...
(if arg20-ish
(setf temp (acons 'arg20-ish arg20-ish temp)))
(do-something-with temp))
which does not seem very elegant, it would be messy with many arguments and when these need to be changed. I am looking for a smarter way to do this, both for the sake of writing this particular function and for learning how to think in Lisp and/or functional programming.
The tricky part for me is figuring out how to get the names of the arguments or what symbol to use, without hand coding each case. If &rest provided arg names it would be easy to filter out NILs with loop or mapcar, but since it doesn't, I can't see how to "automate" this.
I'm totally interested in other solutions than the one described, if people think this way is unnatural.
Edit: Below is an example of what I am trying to do:
An object is created, with a non-fixed number of data pairs and some tags, e.g.:
user = "someone"
creation-time = (get-universal-time)
color-of-sky = "blue"
temperature-in-celsius = 32
language = "Common Lisp"
...
tags = '("one" "two" "three")
These properties (i.e. key/arg names) could be different each time. The new object will then be added to a collection; I thought the array might work well since I want constant access time and only need a numeric ID.
The collection will hold more and more such custom objects, indefinitely.
I want to be able to quickly access all objects matching any combination of any of the tags used in these objects.
Since the array is supposed to store more and more data over a long period, I don't want to parse every item in it each time I need to search for a tag. Thus I also store the index of each object with a given tag in a hash-table, under the tag name. I have written this function, what I find difficult is figuring out how to collect the data and turn it into an alist or anything that I can easily parse, index, and store.
This macro will define a function that turns its non-nil arguments into an alist bound during execution of the body:
(defmacro defnamed (fun-name alist-sym (&rest args) &body body)
`(defun ,fun-name (,#args)
(let ((,alist-sym))
,#(mapcar
(lambda (s)
`(when ,s
(push (cons ',s ,s) ,alist-sym)))
(reverse args))
,#body)))
Demonstration:
(defnamed make-my alist (a b c)
alist)
(make-my 1 NIL 3)
=> ((A . 1) (C . 3))
Here's a sort of solution using macros:
(defmacro named-args (fun-name alist-sym (&rest syms) &body body)
`(defun ,fun-name (&key ,#syms)
(declare (special ,#syms))
(let ((,alist-sym
(loop
for s in ',syms
collecting (cons s (symbol-value s)))))
,#body)))
You can then use it with something like
(named-args f u (a b c)
(format t "~A~%" u))
which expands to
(DEFUN F (&KEY A B C)
(DECLARE (SPECIAL A B C))
(LET ((U
(LOOP FOR S IN '(A B C)
COLLECTING (CONS S (SYMBOL-VALUE S)))))
(FORMAT T "~A~%" U)))
Finally, calling will give
(f :a 3) => ((A . 3) (B) (C))
Note that we need the special declaration otherwise symbol-value doesn't work (you need a global binding for symbol-value). I couldn't find a way to get rid of that.
Looking at your question again, it looks like you actually don't want the keyword arguments that didn't get passed. In which case you could parse a &rest argument (although that's a flat list, so you'd need to map along it in twos) or you could modify the macro as follows:
(defmacro named-args (fun-name alist-sym (&rest syms) &body body)
`(defun ,fun-name (&key ,#syms)
(declare (special ,#syms))
(let ((,alist-sym
(loop
for s in ',syms
when (symbol-value s)
collecting (cons s (symbol-value s)))))
,#body)))
and then you get
(f :a 3) => ((A . 3))