Scheme: overload built-in procedures, general overloading - scheme

More specifically, can you overload the built-in Scheme procedure display?
More generally, how can you overload any procedure in Scheme?

Scheme doesn't have overloading based on types a`la Java/C++, it's dynamically typed so it wouldn't make sense.
You can do a few things though:
You can overload based on the structure of the arguments:
(define overload1
(case-lambda
((x y) (+ x y))
((x y z) (+ (- x y) z))))
This doesn't really help you though since display is only going to take one argument no matter what.
(define (overload-kinda x)
(cond
((list? x) (do-list x))
((symbol? x) (do-sym x))
;etc
))
Which is hacky but sometimes necessary.
My usual approach is higher order functions and the case lambda
(define my-display
(case-lambda
((x) (display x))
((x f) (display (f x)))))
Now if we need special treatment for displaying anything we pass in a function to render it.

The accepted answer don't overload the function, only define different function with same behavior.
Scheme usually allow to overwrite bultin function, so to overload the function (e.g. display) you can use something called Monkey Patch:
(define display (let ((orig display))
(lambda (x . rest)
(let ((port (if (null? rest)
(current-output-port)
(car rest))))
(if (number? x)
(orig (string-append "#<" (number->string x 16) ">") port)
(orig x port))))))
and now the display work differently with numbers. you can also use custom types like display different type of records in specific way. This is general example how to overwrite bultin function in any language that allow to modify the original binding. You save original function in variable, redefine the function and if you what to call original function you use the variable where you saved original.
The code can be abstracted away into general macro that will redefine the function and run your code on specific types of arguments, so it would be proper overloading like in Java and not only based on number of arguments like in case-lambda.
Here is example such macro (using lisp type macro):
(define-macro (overload name-spec . body)
(let ((name (car name-spec))
(args (cdr name-spec)))
`(define ,name (let ((,name ,name))
(lambda ,args
,#body)))))
(overload (display x . rest)
(let ((port (if (null? rest)
(current-output-port)
(car rest))))
(if (number? x)
(display (string-append "#<" (number->string x 16) ">") port)
(display x port))))
(display 10)
;; ==> #<a>
(display "20")
;; ==> 20

Related

Standard way to handle quoted symbol in lisp macros in Scheme

For some code I was working I've needed to handle 'x inside macro. What is standard way of handling those values?
I have code like this:
(define (quoted-symbol? x)
(and (pair? x) (eq? (car x) 'quote) (symbol? (cadr x)) (null? (cddr x))))
(define-macro (test x)
(if (quoted-symbol? x)
`(begin
(display ',(cadr x))
(newline))))
(test 'hello) ;; 'hello will be expanded into list (quote hello)
Is this how this should be handled, or is just in macro you don't use quoted symbols?
NOTE: I'm not asking about hygienic macros (I'm asking about real lisp macros), so please no answers with hygienic macros.
EDIT:
My macro works correctly in Guile and BiwaScheme and in my own scheme like lisp in JavaScript. Here is better example:
(define-macro (test x)
(if (quoted-symbol? x)
`',(cadr x)))
(define (example arg)
(list arg (test 'world)))
(example 'hello)
the question was not about display, but about (cadr x).
EDIT2: You've asked so here you go, my macro:
(define-macro (--> expr . code)
"Helper macro that simplify calling methods on objects. It work with chaining
usage: (--> ($ \"body\")
(css \"color\" \"red\")
(on \"click\" (lambda () (print \"click\"))))
(--> document (querySelectorAll \"div\"))
(--> (fetch \"https://jcubic.pl\") (text) (match /<title>([^<]+)<\/title>/) 1)
(--> document (querySelectorAll \".cmd-prompt\") 0 \"innerText\")"
(let ((obj (gensym)))
`(let* ((,obj ,(if (and (symbol? expr) (not (null? (match /\./ (symbol->string expr)))))
`(.. ,expr)
`,expr)))
,#(map (lambda (code)
(let ((name (gensym))
(value (gensym)))
`(let* ((,name ,(cond ((quoted-symbol? code) (symbol->string (cadr code)))
((pair? code) (symbol->string (car code)))
(true code)))
(,value (. ,obj ,name)))
,(if (and (pair? code) (not (quoted-symbol? code)))
`(set! ,obj (,value ,#(cdr code)))
`(set! ,obj ,value)))))
code)
,obj)))
;; ---------------------------------------------------------------------------------------
(define (quoted-symbol? x)
"(quoted-symbol? code)
Helper function that test if value is quoted symbol. To be used in macros
that pass literal code that is transformed by parser.
usage:
(define-macro (test x)
(if (quoted-symbol? x)
`',(cadr x)))
(list 'hello (test 'world))"
(and (pair? x) (eq? (car x) 'quote) (symbol? (cadr x)) (null? (cddr x))))
the macro is used in my scheme like lisp in JavaScript, like the doc string suggest:
(--> document (querySelectorAll ".class") 0 "innerText")
I want to support:
(--> document (querySelectorAll ".class") 0 'innerText)
The code can be tested online at: https://jcubic.github.io/lips/ (You need to copy/paste the code since current version allow only method calls).
To get expansion you can use
(pprint (macroexpand (--> document (querySelector "x"))))
if it don't work (don't expand) it mean that macro is broken somehow.
dot is build in function that get property of an object and .. macro:
(define-macro (.. expr)
"(.. foo.bar.baz)
Macro that gets value from nested object where argument is comma separated symbol"
(if (not (symbol? expr))
expr
(let ((parts (split "." (symbol->string expr))))
(if (single parts)
expr
`(. ,(string->symbol (car parts)) ,#(cdr parts))))))
that can be use to get nested property like (.. document.body.innerHTML)
Scheme doesn't have "real lisp macros". Some implementations has something similar, but the forms have different names and uses. They are not portable at all.
The standard way of handling 'x is to handle it like an expression that gets evaluated in the expansion. Eg.
(define var 'x)
(test 'x)
(test var)
The two test forms should amount to the same even though the macro test gets (quote x) in the first and the symbol var in the second. At the time of the expansion var does not exist since the implementation can expand all the macros before starting.
You implementation of test will not work. Eg. the display might be run one or twice and then each time you call a procedure that uses it it will gfail since the expansion is the undefined value and it might not be fit for evaluation. eg.
(define (example arg)
(list arg (test 'w)))
When this is defined you get 'w or (quote w) printed with a newline and then the procedure it tries to store is:
(define (example arg)
(list arg #<undefined>))
Note that what constitutes the undefined value is chosen by the implementaion, but I know for sure that in many implementaions you cannot evaluate #<undefined>.

Maximum recursion error [duplicate]

I'm reading The Little Schemer. And thanks to my broken English, I was confused by this paragraph:
(cond ... ) also has the property of not considering all of its
arguments. Because of this property, however, neither (and ... ) nor
(or ... ) can be defined as functions in terms of (cond ... ), though
both (and ... ) and (or ... ) can be expressed as abbreviations of
(cond ... )-expressions:
(and a b) = (cond (a b) (else #f)
and
(or a b) = (cond (a #t) (else (b))
If I understand it correctly, it says (and ...) and (or ...) can be replaced by a (cond ...) expression, but cannot be defined as a function that contains (cond ...). Why is it so? Does it have anything to do with the variant arguments? Thanks.
p.s. I did some searching but only found that (cond ...) ignores the expressions when one of its conditions evaluate to #f.
Imagine you wrote if as a function/procedure rather than a user defined macro/syntax:
;; makes if in terms of cond
(define (my-if predicate consequent alternative)
(cond (predicate consequent)
(else alternative)))
;; example that works
(define (atom? x)
(my-if (not (pair? x))
#t
#f))
;; example that won't work
;; peano arithemtic
(define (add a b)
(my-if (zero? a)
b
(add (- a 1) (+ b 1))))
The problem with my-if is that as a procedure every argument gets evaluated before the procedure body gets executed. thus in atom? the parts (not (pair? x)), #t and #f were evaluated before the body of my-if gets executed.
For the last example means (add (- a 1) (+ b 1)) gets evaluated regardless of what a is, even when a is zero, so the procedure will never end.
You can make your own if with syntax:
(define-syntax my-if
(syntax-rules ()
((my-if predicate consequent alternative)
(cond (predicate consequent)
(else alternative)))))
Now, how you read this is the first part is a template where the predicate consequent and alternative represent unevaluated expressions. It's replaced with the other just reusing the expressions so that:
(my-if (check-something) (display 10) (display 20))
would be replaced with this:
(cond ((check-something) (display 10))
(else (display 20)))
With the procedure version of my-if both 10 and 20 would have been printed. This is how and and or is implemented as well.
You cannot define cond or and or or or if as functions because functions evaluate all their arguments. (You could define some of them as macros).
Read also the famous SICP and Lisp In Small Pieces (original in French).

Scheme - How do I return a function?

This function is displaying the correct thing, but how do I make the output of this function another function?
;;generate an Caesar Cipher single word encoders
;;INPUT:a number "n"
;;OUTPUT:a function, whose input=a word, output=encoded word
(define encode-n
(lambda (n);;"n" is the distance, eg. n=3: a->d,b->e,...z->c
(lambda (w);;"w" is the word to be encoded
(if (not (equal? (car w) '()))
(display (vtc (modulo (+ (ctv (car w)) n) 26)) ))
(if (not (equal? (cdr w) '()))
((encode-n n)(cdr w)) )
)))
You're already returning a function as output:
(define encode-n
(lambda (n)
(lambda (w) ; <- here, you're returning a function!
(if (not (equal? (car w) '()))
(display (vtc (modulo (+ (ctv (car w)) n) 26))))
(if (not (equal? (cdr w) '()))
((encode-n n)(cdr w))))))
Perhaps a simpler example will make things clearer. Let's define a procedure called adder that returns a function that adds a number n to whatever argument x is passed:
(define adder
(lambda (n)
(lambda (x)
(+ n x))))
The function adder receives a single parameter called n and returns a new lambda (an anonymous function), for example:
(define add-10 (adder 10))
In the above code we created a function called add-10 that, using adder, returns a new function which I named add-10, which in turn will add 10 to its parameter:
(add-10 32)
=> 42
We can obtain the same result without explicitly naming the returned function:
((adder 10) 32)
=> 42
There are other equivalent ways to write adder, maybe this syntax will be easier to understand:
(define (adder n)
(lambda (x)
(+ n x)))
Some interpreters allow an even shorter syntax that does exactly the same thing:
(define ((adder n) x)
(+ n x))
I just demonstrated examples of currying and partial application - two related but different concepts, make sure you understand them and don't let the syntax confound you.

Is there a Scheme toString method for a procedure?

I want to be able to take a procedure and see what it looks like. Is this possible?
For example, let's say I have:
(define (some-func x)
(+ x 1))
What I want to do is apply some amazing function (say, stringify) to some-func and be able to look at its guts.
\> (stringify some-func)
"(lambda (x) (+ x 1))"
I haven't found any Racket libraries that do it. Can it be done?!
In R6RS, there is no sure way to determine if two procedures are equivalent; even an expression like (let ((p (lambda () 42))) (eqv? p p)) is not guaranteed to be true.
R7RS addresses that by using the concept of "location tags", where each lambda expression generates a unique location tag. Then eqv? works for procedures by comparing location tags: thus, (let ((p (lambda () 42))) (eqv? p p)) is true, and (eqv? (lambda () 42) (lambda () 42)) is false.
There is no reliable way to get the source of a procedure (many implementations macro-expand and compile the procedures, discarding the original source), and even if you could, you could not use it to compare if two procedures are "equal", because of closures (and that two procedures could have the same "source" but have their free variables bound to different things). For example, consider the two expressions (let ((x 1)) (lambda () x)) and (let ((x 2)) (lambda () x)). They have the same "source", but nobody in their right mind would claim that they are equivalent in any way.
Note, you could easily implement a define alternative to keep the source around. You don't avoid the lexical issues but, modulo that, you've got something with limited use.
(define name->source-mapping '())
(define (name->source name)
(cond ((assq name name->source-mapping) => cdr)
(else #f)))
(define (name->source-extend name source)
(set! name->source-mapping (cons (cons name source) name->source-mapping))
(define-syntax define-with-source
((_ (name args ...) body1 body2 ...)
(define name
(begin (name->source-mapping-extend 'name '(lambda (args ...) body1 body2 ...))
name->source-mapping))
(lambda (args ...) body1 body2 ...)))))
[Above does not replace (define name value) syntax; consider the above an example only.]

"cond","and" and "or" in Scheme

I'm reading The Little Schemer. And thanks to my broken English, I was confused by this paragraph:
(cond ... ) also has the property of not considering all of its
arguments. Because of this property, however, neither (and ... ) nor
(or ... ) can be defined as functions in terms of (cond ... ), though
both (and ... ) and (or ... ) can be expressed as abbreviations of
(cond ... )-expressions:
(and a b) = (cond (a b) (else #f)
and
(or a b) = (cond (a #t) (else (b))
If I understand it correctly, it says (and ...) and (or ...) can be replaced by a (cond ...) expression, but cannot be defined as a function that contains (cond ...). Why is it so? Does it have anything to do with the variant arguments? Thanks.
p.s. I did some searching but only found that (cond ...) ignores the expressions when one of its conditions evaluate to #f.
Imagine you wrote if as a function/procedure rather than a user defined macro/syntax:
;; makes if in terms of cond
(define (my-if predicate consequent alternative)
(cond (predicate consequent)
(else alternative)))
;; example that works
(define (atom? x)
(my-if (not (pair? x))
#t
#f))
;; example that won't work
;; peano arithemtic
(define (add a b)
(my-if (zero? a)
b
(add (- a 1) (+ b 1))))
The problem with my-if is that as a procedure every argument gets evaluated before the procedure body gets executed. thus in atom? the parts (not (pair? x)), #t and #f were evaluated before the body of my-if gets executed.
For the last example means (add (- a 1) (+ b 1)) gets evaluated regardless of what a is, even when a is zero, so the procedure will never end.
You can make your own if with syntax:
(define-syntax my-if
(syntax-rules ()
((my-if predicate consequent alternative)
(cond (predicate consequent)
(else alternative)))))
Now, how you read this is the first part is a template where the predicate consequent and alternative represent unevaluated expressions. It's replaced with the other just reusing the expressions so that:
(my-if (check-something) (display 10) (display 20))
would be replaced with this:
(cond ((check-something) (display 10))
(else (display 20)))
With the procedure version of my-if both 10 and 20 would have been printed. This is how and and or is implemented as well.
You cannot define cond or and or or or if as functions because functions evaluate all their arguments. (You could define some of them as macros).
Read also the famous SICP and Lisp In Small Pieces (original in French).

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