how to understand this problem in cs61a about scheme macro? - macros

I can't understand the Macro example in cs61A,can anyone tells me when the operation evals?
scm> (define (twice f) (begin f f))
twice
scm> (twice (print 'woof))
woof
I know (print 'woof) first eval to be None and bound to the f,then return (begin None None) is None
but
scm> (define (twice f) (begin f f))
twice
scm> (twice '(print 'woof))
(print (quote woof))
that makes me puzzled...
'(print 'woof) first eval to be (print 'woof) and bound to the f,then
in the twice function should return (begin (print 'woof)(print 'woof))
so why not print woof twice?

I will expect that you use Racket. So, documentation for begin says:
(begin form ...)
(begin expr ...+)
The second form applies for begin in an expression position. In that case, the exprs are evaluated in order, and the results are ignored for all but the last expr.
In your example, '(print 'woof) evaluates to (print 'woof), that's correct. But then, (begin f f) is evaluated according to the rules above. f is expr here, so f is evaluated, result is (print 'woof), second f is evaluated, result is (print 'woof) and finally, only last result is returned and that is (print 'woof).
In other words, your function doesn't return (begin (print 'woof) (print 'woof)), but (begin f f).
To get result that you want, twice has to be macro.
(define-syntax twice
(syntax-rules ()
((_ expr) (begin expr expr))))
You can check expansion this way:
> (syntax->datum
(expand-to-top-form
'(twice (print 'woof))))
'(begin (print 'woof) (print 'woof))
And you call it like this:
> (twice (print 'woof))
'woof'woof

Related

How to call a referenced lambda?

I'm trying to call a function (lambda) stored within an alist. Below is a small snippet that demonstrates what I'm trying to do:
(defvar *db* '((:add (lambda (a b)
(+ a b)))
(:sub (lambda (a b)
(- a b)))))
(defun perform-operation-on-numbers (operation a b)
"Performs specified operation on the supplied numbers."
(let ((func (second (find operation
*db*
:key #'car))))
;; TODO: Call `func` on `a` and `b`
(print func)))
(perform-operation-on-numbers :add 1 2)
No matter what I do, not even funcall is able to let me call the lambda stored against :add. How should I reference the retrieved lambda as a lambda?
Your use of quote lead to your inability to use funcall.
Look:
(setf *mydb* '((:add #'+)
(:sub #'-)))
;; ((:ADD #'+) (:SUB #'-))
I can't use funcall. But:
(setf *mydb* (list (cons :add #'+)
(cons :sub #'-)))
;; ((:ADD . #<FUNCTION +>) (:SUB . #<FUNCTION ->))
;;
;; ^^^^ "FUNCTION" ? That's better! <----------
;;
I can (funcall (cdr (first *MYDB*)) 2)
Then the succinct notation is with back-quote and comma.
As pointed out by other answers, you are manipulating code as data, where the forms below (lambda ...) are unevaluated. But even with your data:
(defvar *db* '((:add (lambda (a b)
(+ a b)))
(:sub (lambda (a b)
(- a b)))))
You can use funcall or apply, if you first use COERCE:
If the result-type is function, and object is a lambda expression, then the result is a closure of object in the null lexical environment.
For example, let's access the form associated with :add:
CL-USER> (second (assoc :add *db*))
(LAMBDA (A B) (+ A B))
The value is an unevaluated form.
You can coerce it to a function:
CL-USER> (coerce (second (assoc :add *db*)) 'function)
#<FUNCTION (LAMBDA (A B)) {536B988B}>
Maybe you want to walk the terms to check that the lambda are only using a restricted set of operations, in which case it makes sense to keep them as data. But at some point you'll want to turn these code snippets to actual functions, and you can do that with coerce:
CL-USER> (defvar *db-fns*
(loop
for (n c) in *db*
collect (list n (coerce c 'function))))
*DB-FNS*
Here you compute the functions once, and can reuse them later instead of calling coerce each time.
CL-USER> *db-fns*
((:ADD #<FUNCTION (LAMBDA (A B)) {536B9B5B}>)
(:SUB #<FUNCTION (LAMBDA (A B)) {536B9C0B}>))
(it is equivalent to calling eval on the lambda form)
That's not a function: it's a list beginning (lambda ...). If you want a function have a function, for instance by
(defvar *db* `((:add ,(lambda (a b)
(+ a b)))
(:sub ,(lambda (a b)
(- a b)))))
or, better, don't wrap the thing in some useless baggage:
(defvar *db* `((:add ,#'+
(:sub ,#'-))

Is defun or setf preferred for creating function definitions in common lisp and why?

What is the fundamental difference in the functions defined using defun and setf as below and is one method preferred over another outside of style considerations?
Using defun:
* (defun myfirst (l)
(car l) )
MYFIRST
* (myfirst '(A B C))
A
Using setf:
* (setf (fdefinition 'myfirst) #'(lambda (l) (car l)))
#<FUNCTION (LAMBDA (L)) {10021B477B}>
* (myfirst '(A B C))
A
If, as according to Wikipedia:
named functions are created by storing a lambda expression in a symbol using the defun macro
Using setf to create a variable in a different way requires the use of funcall:
* (defvar myfirst)
MYFIRST
* (setf myfirst (lambda (l) (car l)))
#<Interpreted Function (LAMBDA (X) (+ X X)) {48035001}>
* (funcall myfirst '(A B C))
A
My understanding is that this type of variable is different than the previous in that this variable is not found in the same namespace as the defun bound symbol as described in Why multiple namespaces?.
First of all, one should never underestimate the importance of style.
We write code not just for computers to run, but, much more importantly, for people to read.
Making code readable and understandable for people is a very important aspect of software development.
Second, yes, there is a big difference between (setf fdefinition) and defun.
The "small" differences are that defun can also set the doc string of the function name (actually, depending on how your imeplementation works, it might do that with lambda also), and creates a named block (seen in the macroexpansions below) which you would otherwise have to create yourself if you want to.
The big difference is that the compiler "knows" about defun and will process it appropriately.
E.g., if your file is
(defun foo (x)
(+ (* x x) x 1))
(defun bar (x)
(+ (foo 1 2 x) x))
then the compiler will probably warn you that you call foo in bar with the wrong number of arguments:
WARNING: in BAR in lines 3..4 : FOO was called with 3 arguments, but it requires 1
argument.
[FOO was defined in lines 1..2 ]
If you replace the defun foo with (setf (fdefinition 'foo) (lambda ...)), the compiler is unlikely to handle it as carefully. Moreover, you will probably get a warning along the lines of
The following functions were used but not defined:
FOO
You might want to examine what defun does in your implementation by macroexpanding it:
(macroexpand-1 '(defun foo (x) "doc" (print x)))
CLISP expands it to
(LET NIL (SYSTEM::REMOVE-OLD-DEFINITIONS 'FOO)
(SYSTEM::EVAL-WHEN-COMPILE
(SYSTEM::C-DEFUN 'FOO (SYSTEM::LAMBDA-LIST-TO-SIGNATURE '(X))))
(SYSTEM::%PUTD 'FOO
(FUNCTION FOO
(LAMBDA (X) "doc" (DECLARE (SYSTEM::IN-DEFUN FOO)) (BLOCK FOO (PRINT X)))))
(EVAL-WHEN (EVAL)
(SYSTEM::%PUT 'FOO 'SYSTEM::DEFINITION
(CONS '(DEFUN FOO (X) "doc" (PRINT X)) (THE-ENVIRONMENT))))
'FOO)
SBCL does:
(PROGN
(EVAL-WHEN (:COMPILE-TOPLEVEL) (SB-C:%COMPILER-DEFUN 'FOO NIL T))
(SB-IMPL::%DEFUN 'FOO
(SB-INT:NAMED-LAMBDA FOO
(X)
"doc"
(BLOCK FOO (PRINT X)))
(SB-C:SOURCE-LOCATION)))
The point here is that defun has a lot "under the hood", and for a reason. setf fdefinition is, on the other hand, more of "what you see is what you get", i.e., no magic involved.
This does not mean that setf fdefinition has no place in a modern lisp codebase. You can use it, e.g., to implement a "poor man's trace" (UNTESTED):
(defun trace (symbol)
(setf (get symbol 'old-def) (fdefinition symbol)
(fdefinition symbol)
(lambda (&rest args)
(print (cons symbol args))
(apply (get symbol 'old-def) args))))
(defun untrace (symbol)
(setf (fdefinition symbol) (get symbol 'old-def))
(remprop symbol 'odd-def))

Elisp lambdas, quoting, and lexical-let

I'm trying to understand the following two snippets of code:
(defun make-adder1 (n) `(lambda (x) (+ ,n x)))
(defun make-adder2 (n) (lexical-let ((n n)) (lambda (x) (+ n x))))
These both seem to produce callables:
(funcall (make-adder1 3) 5) ;; returns 8
(funcall (make-adder2 3) 5) ;; returns 8
These both work. I have two main questions:
1) I don't understand the disparity in "quoting level" between the two approaches. In the first case, the lambda expression is quoted, which means the "symbol itself" is returned instead of the value. In the second case, it seems like the statement with the lambda will get evaluated, so the value of the lambda will be returned. Yet, these both work with funcall. When using funcall on a defun'ed function, it has to be quoted. Is lexical-let doing some kind of quoting automatically? Isn't this, kind of surprising?
2) Reading other posts on this topic, I'm given to understand that the first approach will break down under certain circumstances and deviate from what one would expect from working with lambdas and higher order functions in other languages, because elisp has dynamic scoping by default. Can someone give a concrete example of code that makes this difference apparent and explain it?
In the first example there is no variable n in the resulting function, which is just (lambda (x) (+ 3 x)). It does not need lexical binding because there is no free variable in the lambda, i.e., no variable that needs to be kept in a binding of a closure. If you don't need the variable n to be available, as a variable in uses of the function, i.e., if its value at function definition time (=3) is all you need, then the first example is all you need.
(fset 'ad1 (make-adder1 3))
(symbol-function 'ad1)
returns:
(lambda (x) (+ 3 x))
The second example creates what is, in effect, a function that creates and applies a complicated closure.
(fset 'ad2 (make-adder2 3))
(symbol-function 'ad2)
returns
(lambda (&rest --cl-rest--)
(apply (quote (closure ((--cl-n-- . --n--) (n . 3) t)
(G69710 x)
(+ (symbol-value G69710) x)))
(quote --n--)
--cl-rest--))
A third option is to use a lexical-binding file-local variable and use the most straightforward definition. This creates a simple closure.
;;; foo.el --- toto -*- lexical-binding: t -*-
(defun make-adder3 (n) (lambda (x) (+ n x)))
(fset 'ad3 (make-adder3 3))
(symbol-function 'ad3)
returns:
(closure ((n . 3) t) (x) (+ n x))
(symbol-function 'make-adder1)
returns:
(lambda (n)
(list (quote lambda)
(quote (x))
(cons (quote +) (cons n (quote (x))))))
(symbol-function 'make-adder2)
returns:
(closure (t)
(n)
(let ((--cl-n-- (make-symbol "--n--")))
(let* ((v --cl-n--)) (set v n))
(list (quote lambda)
(quote (&rest --cl-rest--))
(list (quote apply)
(list (quote quote)
(function
(lambda (G69709 x)
(+ (symbol-value G69709) x))))
(list (quote quote) --cl-n--)
(quote --cl-rest--)))))
(symbol-function 'make-adder3)
returns
(closure (t) (n) (function (lambda (x) (+ n x))))

How do I call another function in lisp;

My program is supposed to convert a given temperature from Fahrenheit to Centigrade or the other way around. It takes in a list containing a number and a letter. The letter is the temperature and the letter is the unit we are in. Then I call the appropriate function either F-to-C or C-to-F. How do I call the functions with the given list that was first checked in my temperature-conversion function. Here is my code.
(defun temperature-conversion (lst)
(cond
((member 'F lst) (F-to-C))
((member 'C lst) (C-to-F))
(t (print "You didn't enter a valid unit for conversion"))
)
)
(defun F-to-C ()
;;(print "hello")
(print (temperature-conversion(lst)))
)
(defun C-to-F ()
(print "goodbye"))
;;(print (temperature-conversion '(900 f)))
(setf data1 '(900 f))
You have infinite recursion: temperature-conversion calls F-to-C which calls temperature-conversion again.
I would do this:
(defun c2f (c) (+ 32 (/ (* 9 c) 5)))
(defun f2c (f) (/ (* 5 (- f 32)) 9))
(defun temperature-conversion (spec)
(ecase (second spec)
(C (c2f (first spec)))
(F (f2c (first spec)))))
(temperature-conversion '(32 f))
==> 0
(temperature-conversion '(100 c))
==> 212
(temperature-conversion '(100))
*** - The value of (SECOND SPEC) must be one of C, F
The value is: NIL
The following restarts are available:
ABORT :R1 Abort main loop
I think this example is generally used to demonstrate how functions are first-class values.
With a little modification to sds's answer, you can have an ECASE statement that selects the appropriate function, which is then used by a surrounding FUNCALL.
(defun temperature-conversion (spec)
(destructuring-bind (temperature unit) spec
(funcall
(ecase unit (C #'c2f) (F #'f2c))
temperature)))
I added a DESTRUCTURING-BIND in case you don't know yet what it is.

Why (apply and '(1 2 3)) doesn't work while (and 1 2 3) works in R5RS? [duplicate]

This question already has answers here:
Using AND with the apply function in Scheme
(9 answers)
Closed 9 years ago.
I tried it in Racket like this
> (apply and '(1 2 3))
. and: bad syntax in: and
> (and 1 2 3)
3
Does anyone have ideas about this?
and is not a function, it's a macro, so you cannot pass it around like a function.
The reason and is a macro, is to enable short-circuiting behaviour. You can make your own non-short-circuiting version:
(define (my-and . items)
(if (null? items) #t
(let loop ((test (car items))
(rest (cdr items)))
(cond ((null? rest) test)
(test (loop (car rest) (cdr rest)))
(else #f)))))
and my-and can be used with apply.
For comparison, here's what the macro (which does do short-circuiting) looks like:
(define-syntax and
(syntax-rules ()
((and) #t)
((and test) test)
((and test rest ...) (if test
(and rest ...)
#f))))
Chris Jester-Young's answer is right, but there's one other point I want to highlight. The standard and operator is a macro which delays the evaluation of its arguments, by (essentially, if not exactly) turning (and a b c) into (if a (if b c #f) #f). This means that if a is false, b and c do not get evaluated.
We also have the option of defining an and-function such that (and-function a b c) evaluates a, b, and c, and returns true when the values are all true. This means that all of a, b, and c get evaluated. and-function has the nice property that you can pass it around as function because it is a function.
There's still one option that seems to be missing: an and-function-delaying-evaluation that returns return if and only if a, b, and c all return true, but that doesn't evaluate, e.g., b and c if a produces false. This can be had, actually, with a function and-funcalling-function that requires its arguments to be a list of functions. For instance:
(define (and-funcalling-function functions)
(or (null? functions)
(and ((car functions))
(and-funcalling-function (cdr functions)))))
(and-funcalling-function
(list (lambda () (even? 2))
(lambda () (odd? 3))))
; => #t
(and-funcalling-function
(list (lambda () (odd? 2))
(lambda () (even? 3)))) ; (even? 3) does not get evaluated
; => #f
Using a macro and this idiom, we can actually implement something with the standard and semantics:
(define-syntax standard-and
(syntax-rules ()
((standard-and form ...)
(and-funcalling-function (list (lambda () form) ...)))))
(macroexpand '(standard-and (odd? 2) (even? 3)))
; =>
; (and-funcalling-function
; (list (lambda () (odd? 2))
; (lambda () (even? 3))))
The lesson to take away from this, of course, is that you can have an and-like function that you can pass around and still get delayed evaluation; you just need to delay evaluation by wrapping things in functions and letting the and-like function call those functions to produce values. (In Scheme, this might be an opportunity to use promises.)