Class methods can't be used for andmap? - scheme

While working on a Racket program for managing employee time sheets, I found that I cannot use a class's member method for andmap.
#lang racket
(define example%
(class object%
(super-new)
(define/public (is-even? n)
(even? n))
(define/public (test)
(println
;; Next line causes error.
(andmap is-even? '(2 3 4))))))
;; if the following line is used, everything works properly
;;(andmap even? '(2 3 4))))))
(let ([tmp (new example%)])
(send tmp test))
DrRacket gives the following error message on attempt to run this simple program:
class: misuse of method (not in application) in: is-even?
Of course I don't need to use andmap ... It is just a luxury since I can feed a lambda and the result of map into addmap and get the same functionality...
Unfortunately, this doesn't work either, giving the same error as the previous program...
#lang racket
(define example%
(class object%
(super-new)
(define/public (iseven? n)
(even? n))
(define/public (test)
(println
(let ([true? (lambda
(v)
(equal? v #t))])
(andmap true?
;; map also refuses to use my class's method...
;; so much for my hacky workaround idea.
(map iseven? '(2 3 4))))))))
(let ([tmp (new example%)])
(send tmp test))
I like to fix my own problems so I looked up the given error message. I didn't find anything related. This leads to the following question: Why can't andmap, map, etc. use a class's method for their procedure argument?
PS: The actual class is significantly more complicated, but this is a minimal, verifiable example. :)

In Racket, a method is actually implemented by a macro that rewrites
(method arg ...)
to
(method-impl this arg ...)
where method-impl is bound either to the method implementation itself (if the method is private or final) or to some code that fetches the right method implementation from the class's vtable.
You can eta-expand the method name, like this:
(andmap (lambda (x) (is-even? x)) xs)
or you can use for/and:
(for/and ([x (in-list xs)]) (is-even? x))
You just have to use is-even? (or any other method name) in operator position.
As to why Racket's class library works that way: I'm not sure. It would be possible to make method names used as expressions (ie, not in operator position) do the lambda wrapping automatically; the current implementation deliberately doesn't do that, but I'm not sure what the rationale is.

Related

Typed Racket - dynamic function calls (string to procedure) revisited

About a year ago, #soegaard provided an answer to an interesting problem - how to take a string and return the procedure named in that string. The solution was simple and elegant.
Enter typed racket and a twist.
I can make it work in typed racket as long as it returns only functions with the same arity, for example (-> Number Number Number), but if I try to have it able to return functions with different arities, such as shown below, I cannot figure out how to make the require/typed call work.
Here is the modified file with my second function with a different arity.
#lang racket
(provide string->procedure add square)
(define (add x y)
(+ x y))
(define (square x)
(sqr x))
(define ns (variable-reference->namespace (#%variable-reference)))
(define (string->procedure s)
(define sym (string->symbol s))
(eval sym ns))
(string->procedure "add")
((string->procedure "add") 1 2)
((string->procedure "square") 5)
And here is the call that only works with the "add" fuction or any other function that takes two numbers and returns one number.
#lang typed/racket
(require/typed "string-procedure.rkt"
[string->procedure
(-> String (-> Number Number Number))]
[add (-> Number Number Number)]
[square (-> Number Number)])
I've tried using case-> and unions to no avail. Using case-> for the return type at least will run but then it fails all calls.
In case you think I'm nuts for trying this, what I'm trying to do is take the result of a database call, a string, and determine the correct procedure to call to access the appropriate data element in a struct. I can do it with a long case statement, but I was hoping for a more elegant solution.
Thank you.
I don't think you want to use eval, or to solve this problem in quite this way. Specifically: what if the database contains a string that refers to a function that doesn't exist, or a function that you didn't want to have called? This is how security problems arise.
I would say that in this case, you'd probably be willing to specify the names of the procedures that are "legal", and you can probably do that easily with a macro that doesn't mangle hygiene too badly:
#lang typed/racket
;; defines the 'db-callable' syntax. Put this in a library file...
(define-syntax (db-callable stx)
(syntax-case stx ()
[(_ fun-name [id ...])
(with-syntax ([(id-strs ...)
(for/list ([id-stx (in-list (syntax->list #'(id ...)))])
(symbol->string (syntax-e id-stx)))])
#'(define (fun-name str)
(match str
[id-str id] ...)))]))
;; here are some functions we want the DB to be able to call
(define (f x) 3)
(define (g x) 4)
;; here's the list of functions we want the db to be able to call:
(db-callable getfun [f g])
((getfun "f") 9)
((getfun "g") 123)

Can someone explain equality to me in scheme/racket?

So I stumbled across this today and it has me puzzled.
(define (x) '(1))
(eq? (x) (x)) ;=> #t
(eq? '(1) '(1)) ;=> #f
(define (y) (list 1))
(eq? (y) (y)) ;=> #f
(eq? (list 1) (list 1)) ;=> #f
Can anyone explain what's happening here ?
When compiled this program
(define (x) '(1))
(eq? (x) (x))
(eq? '(1) '(1))
is compiled into (something like):
(define datum1 '(1))
(define datum2 '(1))
(define datum3 '(1))
(define (x) datum1)
(eq? (x) (x))
(eq? datum2 datum3)
Therefore (x) will always return the object stored in datum1.
The expressions (eq? '(1) '(1)) on the other hand will
find out that datum2 and datum3 does not store the same object.
Note: There is a choice for the compiler writer. Many Scheme implementation will compile the above program to:
(define datum1 '(1))
(define (x) datum1)
(eq? (x) (x))
(eq? datum1 datum1)
and then the result will be true in both cases.
Note: The documentation of quote doesn't explicitly state whether multiple occurrences of '(1) in a program will produce the same value or not. Therefore this behavior might change in the future. [Although I believe the current behavior is a deliberate choice]
eq? checks if the objects are the same (think "if the pointer refers to the same address in memory").
In the first case you're working with literals created at compile time. Comparing (and modifying) literals is generally undefined behaviour. Here it looks like procedure x returns the same literal every time, but in the second expression it looks like the 2 literals are not the same. As I said, undefined behaviour.
In the second case you're not working with literals but list creates a new list at execution time. So each call to y or list creates a fresh list.
uselpa's answer is correct.† I wanted to expand on what a quoted datum is, a little further, though.
As you know, all Scheme programs are internally read in as a syntax tree. In Racket, in particular, you use the read-syntax procedure to do it:
> (define stx (with-input-from-string "(foo bar)" read-syntax))
> stx
#<syntax::1 (foo bar)>
You can convert a syntax tree to a datum using syntax->datum:
> (syntax->datum stx)
'(foo bar)
quote is a special form, and what it does is return the quoted portion of the syntax tree as a datum. This is why, for many Scheme implementations, your x procedure returns the same object each time: it's returning the same portion of the syntax tree as a datum. (This is an implementation detail, and Scheme implementations are not required to have this behaviour, but it helps explain why you see what you see.)
And as uselpa's answer says, list creates a fresh list each time, if the list is non-empty. That's why the result of two separate non-empty invocations of list will always be distinct when compared with eq?.
(In Scheme, the empty list is required to be represented as a singleton object. So (eq? '() '()) is guaranteed to be true, as is (eq? (list) '()), (eq? (cdr (list 'foo)) (list)), etc.)
† I would not use the phrasing "undefined behaviour" for comparing literals because that's easily confused with the C and C++ meaning of UB, which is nasal demons, and although the result of comparing literals may not be what you expect, it would not cause your program to crash, etc. Modifying literals is nasal demons, of course.

decent way of nested definition in scheme

I want to define a constant foo using an auxiliary function, say, bar. And I want to hide bar inside the definition of foo, so I come with this code:
(define foo
(define (bar n)
(+ n n))
(bar 1))
However, this definition causes syntax errors in many scheme implementations(mit-scheme, racket, guile, etc.).
I have three workarounds but none of them seems satisfactory:
(define foo1
((lambda ()
(define (bar n)
(+ n n))
(bar 1))))
(define foo2
(let ((bar (lambda (n) (+ n n))))
(bar 1)))
(define (foo3)
(define (bar n)
(+ n n))
(bar 1))
foo1 uses lambda to create an environment of writing auxiliary definitions and the parentheses seem somehow confusing.
foo2 uses let expression but I can no longer use the syntactic sugar (define (f n) ...) => (define f (lambda (n) ...))
foo3 requires less modification comparing with the original one, but every time I want this value, I have to call (foo3) and do the computation all over again.
My questions are:
I think this kind of nested definition makes sense, but why it is considered a syntax error?
is there any decent way to write the definition of foo?
If I understand your question correctly, another idiomatic way to do this in Racket would be to use a module.
This module could be defined using a separate file:
;; foo.rkt
#lang racket
(define (bar n)
(+ n n))
(define foo (bar 1))
(provide foo)
;; use-foo.rkt
#lang racket
(require "foo.rkt")
foo
Or via a module form within one file:
#lang racket
(module 'foo-mod racket
(define (bar n)
(+ n n))
(define foo (bar 1))
(provide foo))
(require 'foo-mod)
foo
Is this concise compared to your examples? Of course not. But in practice this sort of encapsulation usually works fine at a module granularity.
For instance a private helper like bar might be useful in defining multiple other functions or constants.
Often the file form is more convenient: If a helper like bar is not nested, but instead at the module top level for foo.rkt, it's easier to debug it in a REPL.
p.s. Racket provides a define-package form for compatibility with Chez Scheme, but it's not idiomatic in Racket; instead you'd use a submodule.
Your original code has a syntax error because the required syntax for define of an identifier is
(define <identifier> <expression>)
but your syntax is
(define <identifier> <definition> <expression>)
You need some way to group the <definition> and the <expression>. What you are looking for is something that allows lexical definitions - in Scheme this is a syntactic form with a <body>. The syntactic forms for this are a lambda or any let (and variants) or a 'programmatic' begin.
But, this is easily done in Scheme w/o needing Racket extensions or extra, empty lexical environments or a <body> syntactic form. Just use what you considered 'unsatisfactory'
(define foo
(let ((bar (lambda (x) (+ x x))))
(bar 1)))
or even
(define foo
((lambda (x) (+ x x)) 1))
Too much sugar, even syntactic sugar, my have adverse health consequences...
foo1 is also equivalent to the following:
(define foo1
(let ()
(define (bar n)
(+ n n))
(bar 1)))
Is that more acceptable-looking to you?
Answering your questions:
define can only be used in certain ways, as mandated by the specification. What you want to do isn't covered by the specification, hence the error. As you know, define assigns a name to the value of an expression, it's just that you can't directly create internal definitions in its context.
But there are other expressions that allow creating new bindings in this context. IMHO foo2 is the best option here, and it's idiomatic, too. And if bar were a recursive definition, you could use letrec.
But if loosing a bit of syntactic sugar bothers you (because of the way procedures are defined inside a let expression), then try using local, it'll work in Racket:
(define foo
(local [(define (bar n) (+ n n))]
(bar 1)))

How can I unsplice a list of expression into code?

I have an experiment for my project, basically, I need to embedded some s-expression into the code and make it run, like this,
(define (test lst)
(define num 1)
(define l (list))
`#lst) ; oh, this is not the right way to go.
(define lst
`( (define num2 (add1 num))
(displayln num2)))
I want the test function be like after test(lst) in racket code:
(define (test lst)
(define num 1)
(define l (list))
(define num2 (add1 num)
(displayln num2))
How can I do this in racket?
Update
The reason I would like to use eval or the previous questions is that I am using Z3 racket binding, I need to generate formulas (which uses racket binding APIs), and then I will fire the query at some point, that's when I need to evaluate those code.
I have not figured out other ways to go in my case...
One super simple example is, imagine
(let ([arr (array-alloc 10)])
(array-set! arr 3 4))
I have some model to analyze the constructs (so I am not using racketZ3 directly), during each analyzing point, I will map the data types in the program into the Z3 types, and made some assertions,
I will generate something like:
At allocation site, I will need to make the following formula:
(smt:declare-fun arr_z3 () IntList)
(define len (make-length 10))
Then at the array set site, I will have the following assertions and to check whether the 3 is less then the length
(smt:assert (</s 3 (len arr_z3)))
(smt:check-sat)
Then finally, I will gather the formulas generated as above, and wrap them in the form which is able to fire Z3 binding to run the following gathered information as code:
(smt:with-context
(smt:new-context)
(define len (make-length 10))
(smt:assert (</s 3 (len arr_z3)))
(smt:check-sat))
This is the super simple example I can think of... making sense?
side note. Z3 Racket binding will crash for some reason on version 5.3.1, but it mostly can work on version 5.2.1
Honestly, I don’t understand what exactly you would like to achieve. To quote N. Holm, Sketchy Scheme, 4.5th edition, p. 108: »The major purpose of quasiquotation is the construction of fixed list structures that contain only a few variable parts«. I don’t think that quasiquotation would be used in a context like you are aiming at.
For a typical context of quasiquotation consider the following example:
(define (square x)
(* x x))
(define sentence
'(The square of))
(define (quasiquotes-unquotes-splicing x)
`(,#sentence ,x is ,(square x)))
(quasiquotes-unquotes-splicing 2)
===> (The square of 2 is 4)
Warning: if you're not familiar with how functions work in Scheme, ignore the answer! Macros are an advanced technique, and you need to understand functions first.
It sounds like you're asking about macros. Here's some code that defines test to be a function that prints 2:
(define-syntax-rule (show-one-more-than num)
(begin
(define num2 (add1 num))
(displayln num2)))
(define (test)
(define num1 1)
(show-one-more-than num1))
Now, I could (and should!) have written show-one-more-than as a function instead of a macro (the code will still work if you change define-syntax-rule to define), but macros do in fact operate by producing code at their call sites. So the above code expands to:
(define (test)
(define num1 1)
(begin
(define num2 (add1 num1))
(displayln num2)))
Without knowing the problem better, it's hard to say what the correct approach to this problem is. A brute force approach, such as the following:
#lang racket
(define (make-test-body lst)
(define source `(define (test)
(define num 1)
(define l (list))
,#lst))
source)
(define lst
`((define num2 (add1 num))
(displayln num2)))
(define test-source
(make-test-body lst))
(define test
(parameterize ([current-namespace (make-base-namespace)])
(eval `(let ()
,test-source
test))))
(test)
may be what you want, but probably not.

How can i overload a function at run time in Scheme?

rt.
I want to redefine a function at run time so that i can change the behavior of the system at run time.
thanks.
(define (foo x) ...stuff...)
(set! foo (lambda (x) ...different stuff...))
It might be advisable to use let to do this locally, this can also apply to keywords in this sense:
(let ((define +))
(define 2 3)) ; ===> 5
Or even redefine them to constants, remember, Scheme is a lisp-1:
(let ((define 2) (+ 4))
(- define +)) ; ===> -2
Or even:
(let ((quote /))
'3) ===> 1/3
Doing it only locally preserves the functional style.
Assuming you want to overload a function you defined earlier, simply define it again. This also works for redefining functions such as car and cdr, e.g. to make car into cdr:
(define (car x) (cdr x))
However, I think you won't be able to affect other already defined functions with such a redefinition, so a system function which uses car will still use the original system car and not yours:
(define (test x) (car x))
(define (car x) (cdr x))
(test '(1 2 3))
1
I guess the reason for this is that internally the symbols disappear once a function gets read or evaluated and the symbols are replaced by what they're bound to; in this case, the actual code of the function. So rebinding a symbol to a different function won't affect the rest of your already defined code. This is usually a good thing because it helps uphold referential transparency.
If you want to redefine scheme keywords such as lambda or cond, use let-syntax (see http://community.schemewiki.org/?scheme-faq-language)

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