What is the difference between let and let* in Scheme? - lisp

I am writting a script for GIMP and using let* as it was in a sample I took. But it seems to be just a lambda sugar exactly like let. Why are they different? What is the difference between them?

They are different in the order in which variables are bound. Consider this for example:
> (let ((a 1)(b (+ a 2))) b)
This code will FAIL because b requires a, which has not been defined before. It is defined, in the same let, but Scheme will take all your let definitions as only one statement and not allow them to reference each other. In Gambit Scheme, it raises:
*** ERROR IN ##raise-unbound-global-exception -- Unbound variable: a
Conversely, let* will bind the first variable of the let, then the second, etc... so:
> (let* ((a 1)(b (+ a 2))) b)
3
Works as expected.
A third form which is of interest is letrec which lets not only variables in the let reference other variables, but also let them reference themselves (e.g. for recursion). This lets you write code like:
> (letrec ((f (lambda(n) ;; Takes the binary log2 recursively
(cond
((= n 1) 0)
(else (+ 1 (f (/ n 2))))))))
(f 256)) ;; 2^8 = 256
8
If you try to define a recursive function with let or let*, it will tell you the variable is unbound.
All of this can be achieved via clever rearranging/nesting of the let statements, but let* and letrec can be more convenient and readable in some cases like these.

They are different in the way they bind variables. All variables in one let uses the same lambda-form, so you can do this:
(let ((x 10) (y 20))
(let ((x y) (y x))
(display (list x y)))) ; prints (20 10)
While switch the inner let with a let* and you'll se that the second binds towards what was bound in the first binding and not what was before the let*
(let ((x 10) (y 20))
(let* ((x y) (y x))
(display (list x y)))) ; prints (20 20)
the reason for this is that
(let* ((x y) (y x))
...)
is the same as
(let ((x y))
(let ((y x))
...))

let and let* are used for binding variables and both are syntactic sugar (macro), but let* binds variables one after the other soon (from left to right, or from up to down). The difference is also the different scope. In let the scope of each variable is only the expression, not the bindings. In let* the scope of each variable is the expression and the before bindings.
With let* you do such a thing (b a)
...
(let* ((a 1)
(b a))
...)
...
with let you don't.
Implementation of let:
(define-syntax let
(syntax-rules ()
((_ (( variable value ) ...) body ...)
(( lambda (variable ...) body ...) value ...))))
Implementation of let*:
(define-syntax let*
(syntax-rules ()
; pattern for one binding
((_ ((variable value)) body ...)
((lambda (variable) body ...) value))
; pattern for two or more bindings
((_ ((variable value) . other) body ...)
((lambda (variable) (let* other body ...)) value))))

Related

Make `define` evaluate its first argument in Racket

In some dialects of LISP, there is a distinction between SET and SETQ, the first one evaluates its first argument so that you need to use the (SET (QUOTE …) …) syntax.
Since in Racket, quoting is not needed in definitions, define behaves as SETQ.
Is there a Racket function that behaves like SET? If no, how to write one?
I tried (define (SET a b) (define (eval a) b) b) but it does not seem to work when providing it to an other language with (provide SET).
Here's my quick attempt at this problem:
;; lib.rkt
#lang racket/base
(provide (rename-out [#set set]
[##%top #%top]
[#set! set!]
[#define define]))
(require syntax/parse/define)
(define env (make-hash))
(define (set x v stx)
(unless (hash-has-key? env x)
(raise-syntax-error #f "undefined id" stx))
(hash-set! env x v))
(define-simple-macro (##%top . x)
(hash-ref
env
'x
(λ () (raise-syntax-error #f "unbound id" (quote-syntax x)))))
(define (#set x v)
(set x v x))
(define-simple-macro (#set! x:id v)
(set 'x v (quote-syntax x)))
(define-simple-macro (#define x:id v)
(begin
(when (hash-has-key? env 'x)
(raise-syntax-error #f "id already defined" (quote-syntax x)))
(hash-set! env 'x v)))
#lang racket/base
(require "lib.rkt")
(define x 1)
(set (if #t 'x 'y) 2)
(add1 x) ; 3
(set! x 3)
(add1 x) ; 4
(add1 y) ; y: unbound id in: y
Note that this differs from original Racket in several ways. For example:
unbound ids are now reported at runtime instead of compile-time.
set! now won't work with set!-transformer.
define can't be used to define functions
define can't be used to shadow an identifier.
For (2) and (3), it's possible to get the original behavior back, but I don't want the answer to be too long, so I didn't include the full functionality. For now, I don't know how to solve (4).
Also note that you can only set identifiers defined via define. If you want to set identifiers defined via lambda, let, etc., you need to redefine these constructs too.
I would do it much less verbose and much simpler.
Since all arguments are evaluated, the set or let's say define% can be defined as a function!
(define (define% x y)
(eval `(define ,x ,y)))
One can even define functions using define% when using old-style form using lambda.
(define 'ab (lambda (x y) (+ x y)))
(ab 3 5) ;; 7
It even behaves correctly in terms of scope
(define (foo x)
(define% 'bar (lambda (x) (+ 1 x)))
(bar (bar (bar x))))
foo
;; #<procedure:foo>
bar
; bar: undefined;
; cannot reference undefined identifier
; [,bt for context]
(foo 3)
6
;; after first call however, bar is available in global environment
;; as pointed out by #AlexKnauf
bar
;; #<procedure:bar>
Thus there are some scoping issues ...
(let ((x 0))
(define% 'counter (lambda () (set! x (+ x 1)) x)))
counter
;; #<procedure>
(counter)
;; 1
(counter)
;; 2
(counter)
;; 3

macro to feed a calculated binding list into a 'let'?

I'm trying different binding models for macro lambda lists.
Edit: in fact the lambda list for my test macros is always (&rest ...). Which means that I'm 'destructuring' the argument list and not the lambda list. I try to get a solution that works for combining optional with key arguments or rest/body with key arguments - both combinations don't work in the Common Lisp standard implementation.
So I have different functions giving me a list of bindings having the same syntax as used by 'let'.
E.g:
(build-bindings ...) => ((first 1) middle (last "three"))
Now I thought to use a simple macro inside my test macros feeding such a list to 'let'.
This is trivial if I have a literal list:
(defmacro let-list (_list &rest _body)
`(let ,_list ,#_body))
(let-list ((a 236)) a) => 236
But that's the same as a plain 'let'.
What I'd like to have is the same thing with a generated list.
So e.g.
(let-list (build-bindings ...)
(format t "first: ~s~%" first)
last)
with (build-bindings ...), evaluated in the same lexical scope as the call (let-list ...), returning
((first 1) middle (last "three"))
the expansion of the macro should be
(let
((first 1) middle (last "three"))
(format t "first: ~s~%" first)
last)
and should print 1 and return "three".
Any idea how to accomplish that?
Edit (to make the question more general):
If I have a list of (symbol value) pairs, i.e. same syntax that let requires for it's list of bindings, e.g. ((one 1) (two 'two) (three "three")), is there any way to write a macro that creates lexical bindings of the symbols with the supplied values for it's &rest/&body parameter?
This is seems to be a possible solution which Joshua pointed me to:
(let ((list_ '((x 23) (y 6) z)))
(let
((symbols_(loop for item_ in list_
collect (if (listp item_) (car item_) item_)))
(values_ (loop for item_ in list_
collect (if (listp item_) (cadr item_) nil))))
(progv symbols_ values_
(format t "x ~s, y ~s, z ~s~%" x y z))))
evaluates to:
;Compiler warnings :
; In an anonymous lambda form: Undeclared free variable X
; In an anonymous lambda form: Undeclared free variable Y
; In an anonymous lambda form: Undeclared free variable Z
x 23, y 6, z NIL
I could also easily rearrange my build-bindings functions to return the two lists needed.
One problem is, that the compiler spits warnings if the variables have never been declared special.
And the other problem that, if the dynamically bound variables are also used in a surrounding lexical binding, they a shadowed by the lexical binding - again if they have never been declared special:
(let ((x 47) (y 11) (z 0))
(let ((list_ '((x 23) (y 6) z)))
(let
((symbols_(loop for item_ in list_
collect (if (listp item_) (car item_) item_)))
(values_ (loop for item_ in list_
collect (if (listp item_) (cadr item_) nil))))
(progv symbols_ values_
(format t "x ~s, y ~s, z ~s~%" x y z)))))
evaluates to:
x 47, y 11, z 0
A better way could be:
(let ((x 47) (y 11) (z 0))
(locally
(declare (special x y))
(let ((list_ '((x 23) (y 6) z)))
(let
((symbols_(loop for item_ in list_
collect (if (listp item_) (car item_) item_)))
(values_ (loop for item_ in list_
collect (if (listp item_) (cadr item_) nil))))
(progv symbols_ values_
(format t "x ~s, y ~s, z ~s~%" x y z))))))
evaluates to:
;Compiler warnings about unused lexical variables skipped
x 23, y 6, z NIL
I can't see at the moment whether there are other problems with the dynamic progv bindings.
But the whole enchilada of a progv wrapped in locally with all the symbols declared as special cries for a macro again - which is again not possible due to same reasons let-list doesn't work :(
The possiblilty would be a kind of macro-lambda-list destructuring-hook which I'm not aware of.
I have to look into the implementation of destructuring-bind since that macro does kind of what I'd like to do. Perhaps that will enlight me ;)
So a first (incorrect) attempt would look something like this:
(defun build-bindings ()
'((first 1) middle (last "three")))
(defmacro let-list (bindings &body body)
`(let ,bindings
,#body))
Then you could try doing something like:
(let-list (build-bindings)
(print first))
That won't work, of course, because the macro expansion leaves the form (build-bindings) in the resulting let, in a position where it won't be evaluated:
CL-USER> (pprint (macroexpand-1 '(let-list (build-bindings)
(print first))))
(LET (BUILD-BINDINGS)
(PRINT FIRST))
Evaluation during Macroexpansion time
The issue is that you want the result of build-bindings at macroexpansion time, and that's before the code as a whole is run. Now, in this example, build-bindings can be run at macroexpansion time, because it's not doing anything with any arguments (remember I asked in a comment what the arguments are?). That means that you could actually eval it in the macroexpansion:
(defmacro let-list (bindings &body body)
`(let ,(eval bindings)
,#body))
CL-USER> (pprint (macroexpand-1 '(let-list (build-bindings)
(print first))))
(LET ((FIRST 1) MIDDLE (LAST "three"))
(PRINT FIRST))
Now that will work, insofar as it will bind first, middle, and last to 1, nil, and "three", respectively. However, if build-bindings actually needed some arguments that weren't available at macroexpansion time, you'd be out of luck. First, it can take arguments that are available at macroexpansion time (e.g., constants):
(defun build-bindings (a b &rest cs)
`((first ',a) (middle ',b) (last ',cs)))
CL-USER> (pprint (macroexpand-1 '(let-list (build-bindings 1 2 3 4 5)
(print first))))
(LET ((FIRST '1) (MIDDLE '2) (LAST '(3 4 5)))
(PRINT FIRST))
You could also have some of the variables appear in there:
(defun build-bindings (x ex y why)
`((,x ,ex) (,y ,why)))
CL-USER> (pprint (macroexpand-1 '(let-list (build-bindings 'a 'ay 'b 'bee)
(print first))))
(LET ((A AY) (B BEE))
(PRINT FIRST))
What you can't do, though, is have the variable names be determined from values that don't exist until runtime. E.g., you can't do something like:
(let ((var1 'a)
(var2 'b))
(let-list (build-bindings var1 'ay var2 'bee)
(print first))
because (let-list (build-bindings …) …) is macroexpanded before any of this code is actually executed. That means that you'd be trying to evaluate (build-bindings var1 'ay var2 'bee) when var1 and var2 aren't bound to any values.
Common Lisp does all its macroexpansion first, and then evaluates code. That means that values that aren't available until runtime are not available at macroexpansion time.
Compilation (and Macroexpansion) at Runtime
Now, even though I said that Common Lisp does all its macroexpansion first, and then evaluates code, the code above actually uses eval at macroexpansion to get some extra evaluation earlier. We can do things in the other direction too; we can use compile at runtime. That means that we can generate a lambda function and compile it based on code (e.g., variable names) provided at runtime. We can actually do this without using a macro:
(defun %dynamic-lambda (bindings body)
(flet ((to-list (x) (if (listp x) x (list x))))
(let* ((bindings (mapcar #'to-list bindings))
(vars (mapcar #'first bindings))
(vals (mapcar #'second bindings)))
(apply (compile nil `(lambda ,vars ,#body)) vals))))
CL-USER> (%dynamic-lambda '((first 1) middle (last "three"))
'((list first middle last)))
;=> (1 NIL "three")
This compiles a lambda expression that is created at runtime from a body and a list of bindings. It's not hard to write a macro that takes some fo the quoting hassle out of the picture:
(defmacro let-list (bindings &body body)
`(%dynamic-lambda ,bindings ',body))
CL-USER> (let-list '((first 1) middle (last "three"))
(list first middle last))
;=> (1 NIL "three")
CL-USER> (macroexpand-1 '(let-list (build-bindings)
(list first middle last)))
;=> (%DYNAMIC-LAMBDA (BUILD-BINDINGS) '((LIST FIRST MIDDLE LAST)))
CL-USER> (flet ((build-bindings ()
'((first 1) middle (last "three"))))
(let-list (build-bindings)
(list first middle last)))
;=> (1 NIL "three")
This gives you genuine lexical variables from a binding list created at runtime. Of course, because the compilation is happening at runtime, you lose access to the lexical environment. That means that the body that you're compiling into a function cannot access the "surrounding" lexical scope. E.g.:
CL-USER> (let ((x 3))
(let-list '((y 4))
(list x y)))
; Evaluation aborted on #<UNBOUND-VARIABLE X {1005B6C2B3}>.
Using PROGV and special variables
If you don't need lexical variables, but can use special (i.e., dynamically scoped) variables instead, you can establish bindings at runtime using progv. That would look something like:
(progv '(a b c) '(1 2 3)
(list c b a))
;;=> (3 2 1)
You'll probably get some warnings with that if run it, because when the form is compiled, there's no way to know that a, b, and c are supposed to be special variables. You can use locally to add some special declarations, though:
(progv '(a b c) '(1 2 3)
(locally
(declare (special a b c))
(list c b a)))
;;=> (3 2 1)
Of course, if you're doing this, then you have to know the variables in advance which is exactly what you were trying to avoid in the first place. However, if you're willing to know the names of the variables in advance (and your comments seem like you might be okay with that), then you can actually use lexical variables.
Lexical variables with values computed at run time
If you're willing to state what the variables will be, but still want to compute their values dynamically at run time, you can do that relatively easily. First, lets write the direct version (with no macro):
;; Declare three lexical variables, a, b, and c.
(let (a b c)
;; Iterate through a list of bindings (as for LET)
;; and based on the name in the binding, assign the
;; corresponding value to the lexical variable that
;; is identified by the same symbol in the source:
(dolist (binding '((c 3) (a 1) b))
(destructuring-bind (var &optional value)
(if (listp binding) binding (list binding))
(ecase var
(a (setf a value))
(b (setf b value))
(c (setf c value)))))
;; Do something with the lexical variables:
(list a b c))
;;=> (1 NIL 3)
Now, it's not too hard to write a macrofied version of this. This version isn't perfect, (e.g., there could be hygiene issues with names, and declarations in the body won't work (because the body is being spliced in after some stuff). It's a start, though:
(defmacro computed-let (variables bindings &body body)
(let ((assign (gensym (string '#:assign-))))
`(let ,variables
(flet ((,assign (binding)
(destructuring-bind (variable &optional value)
(if (listp binding) binding (list binding))
(ecase variable
,#(mapcar (lambda (variable)
`(,variable (setf ,variable value)))
variables)))))
(map nil #',assign ,bindings))
,#body)))
(computed-let (a b c) '((a 1) b (c 3))
(list a b c))
;;=> (1 NIL 3)
One way of making this cleaner would be to avoid the assignment altogether, and the computed values to provide the values for the binding directly:
(defmacro computed-let (variables bindings &body body)
(let ((values (gensym (string '#:values-)))
(variable (gensym (string '#:variable-))))
`(apply #'(lambda ,variables ,#body)
(let ((,values (mapcar #'to-list ,bindings)))
(mapcar (lambda (,variable)
(second (find ,variable ,values :key 'first)))
',variables)))))
This version creates a lambda function where the arguments are the specified variables and the body is the provided body (so the declarations in the body are in an appropriate place), and then applies it to a list of values extracted from the result of the computed bindings.
Using LAMBDA or DESTRUCTURING-BIND
since I'm doing some "destructuring" of the arguments (in a bit a different way), I know which arguments must be present or have which
default values in case of missing optional and key arguments. So in
the first step I get a list of values and a flag whether an optional
or key argument was present or defaulted. In the second step I would
like to bind those values and/or present/default flag to local
variables to do some work with them
This is actually starting to sound like you can do what you need to by using a lambda function or destructuring-bind with keyword arguments. First, note that you can use any symbol as a keyword argument indicator. E.g.:
(apply (lambda (&key
((b bee) 'default-bee b?)
((c see) 'default-see c?))
(list bee b? see c?))
'(b 42))
;;=> (42 T DEFAULT-SEE NIL)
(destructuring-bind (&key ((b bee) 'default-bee b?)
((c see) 'default-see c?))
'(b 42)
(list bee b? see c?))
;;=> (42 T DEFAULT-SEE NIL)
So, if you just make your function return bindings as a list of keyword arguments, then in the destructuring or function application you can automatically bind corresponding variables, assign default values, and check whether non-default values were provided.
Acting a bit indirectly:
a solution that works for combining optional with key arguments or
rest/body with key arguments
Have you considered the not-entirely-uncommon paradigm of using a sub-list for the keywords?
e.g.
(defmacro something (&key (first 1) second) &body body) ... )
or, a practical use from Alexandria:
(defmacro with-output-to-file ((stream-name file-name
&rest args
&key (direction nil direction-p)
&allow-other-keys)
&body body)

Creating a function to return a core expression using macros

I've been working on some code using R5RS for an assignment to expand certain expressions into core forms of the expression using macros. These are put through a provided eval/apply loop later
(define expand (lambda (exp)
(letrec-syntax
((let (syntax-rules ()
((_ ((var init) ...) body ...)
(`((lambda (var ...) body ...) init ...))))) )
(exp)) ; sequence to expand
))
(expand (let ((x 2) (y 1)) (+ x y)) )
When I run the code like this I get back ;The object 3 is not applicable. but so it looks like it's actually evaluating exp, but I need to get back a uh...string representation.
If I embed the expression I want expanded into the letrec-syntax body I get back what I actually want. Like so:
(define expand (lambda (exp)
(letrec-syntax
((let (syntax-rules ()
((_ ((var init) ...) body ...)
(`((lambda (var ...) body ...) init ...))))) )
(let ((x 2) (y 1)) (+ x y))) ; sequence to expand
))
I get back ...
;The object ((lambda (x y) (+ x y)) 2 1) is not applicable Which looks like what I want to send back to be interpreted.
So my question is how can I rewrite this to take any exp given to expand like in the first example, but return its expanded form like in the second example?
I think the problem has something to do with exp defined by lambda being in the wrong scope in regards to letrec-syntax. I'm very new to Scheme, and I feel like I'm missing a simple solution here. My best leads so far involve using syntax-case somehow or something about hygienics, but I feel like I've been chasing my tail trying to research those topics so far and I'm not sure they're the right direction.
Thanks for any assistance. :)
This works:
(define-syntax expand
(syntax-rules (let)
((_ (let ((var init) ...) body ...))
'((lambda (var ...) body ...) init ...))))
then
> (expand (let ((x 2) (y 1)) (+ x y)))
((lambda (x y) (+ x y)) 2 1)

Conditional variable binding in Common Lisp

I want to execute a function with 2 local variables, but the values of these of these variables should depend on some condition. For example, let's say I have 2 variables x and y, and I want to swap them inside let if y > x. The swap should be temporary, I don't want to mutate state with rotatef. My code would look something like:
(setq x 2)
(setq y 1)
(let (if (> x y) ((x y) (y x)) ((x x) (y y)))
(cons x y)) ; should return (1 . 2)
But the expression inside let is not valid Lisp. How do I conditionally assign values to local variables? The work around is to put the body in flet and call it with different arguments, but it look clumsy:
(flet ((body (x y) (cons x y)))
(if (< x y)
(body x y)
(body y x)))
Multiple-value-bind and values
There are lots of alternatives, some of which have already been pointed out in other answers. I think that the question in the title ("Conditional variable binding in Common Lisp") is a nice case for multiple-value-bind and values. I've used different variable names in the following just to make it clear where x and y are, and where the original values are coming from. The names can be the same, though; this just shadows them inside.
(let ((a 3)
(b 2))
(multiple-value-bind (x y)
(if (< a b)
(values a b)
(values b a))
(cons x y)))
;=> (2 . 3)
Then, using a bit of macrology, we can make this a bit cleaner, much like coredump did:
(defmacro if-let (test bindings &body body)
"* Syntax:
let ({var | (var [then-form [else-form]])}*) declaration* form* => result*
* Description:
Similar to LET, but each binding instead of an init-form can have a
then-form and and else-form. Both are optional, and default to NIL.
The test is evaluated, then variables are bound to the results of the
then-forms or the else-forms, as by LET."
(let ((bindings (mapcar #'(lambda (binding)
(destructuring-bind (variable &optional then else)
(if (listp binding) binding (list binding))
(list variable then else)))
bindings)))
`(multiple-value-bind ,(mapcar 'first bindings)
(if ,test
(values ,#(mapcar 'second bindings))
(values ,#(mapcar 'third bindings)))
,#body)))
(pprint (macroexpand-1 '(if-let (< x y) ((x x y)
(y y x))
(cons x y))))
; (MULTIPLE-VALUE-BIND (X Y)
; (IF (< X Y)
; (VALUES X Y)
; (VALUES Y X))
; (CONS X Y))
(let ((a 3) (b 2))
(if-let (< a b)
((x a b)
(y b a))
(cons x y)))
;=> (2 . 3)
Comparison with progv
In terms of use, this has some similarities with sindikat's answer, but multiple-value-bind establishes bindings just like let does: lexical by default, but a global or local special declaration will make the bindings dynamic. On the other hand, progv establishes dynamic bindings. This means that if the bindings are entirely introduced by progv, you won't see much difference (except in trying to return closures), but that you can't shadow bindings. We can see this without having to do any conditional work at all. Here are two sample snippets. In the first, we see that the inner reference to x actually refers to the lexical binding, not the dynamic one established by progv. To refer to the one established by progv, you actually need to declare the inner reference to be special. progv doesn't accept declarations, but we can use locally.
(let ((x 1))
(progv '(x) '(2)
x))
;=> 1
(let ((x 1))
(progv '(x) '(2)
(locally (declare (special x))
x)))
;=> 2
multiple-value-bind actually does the binding the way we'd expect:
(let ((x 1))
(multiple-value-bind (x) (values 2)
x))
;=> 2
It's probably better to use a binding construct like multiple-value-bind that establishes lexical bindings by default, just like let does.
If you don't want to use progv, as mentioned by sindikat, you always can wtite something like that:
(defmacro let-if (if-condition then-bindings else-bindings &body body)
`(if ,if-condition
(let ,then-bindings
,#body)
(let ,else-bindings
,#body)))
So expression like
(let-if (> x y) ((x y) (y x)) ((x x) (y y))
(cons x y))
Will expand into:
(IF (> X Y)
(LET ((X Y) (Y X))
(CONS X Y))
(LET ((X X) (Y Y))
(CONS X Y)))
rotatef
How about:
CL-USER> (defvar x 2)
X
CL-USER> (defvar y 1)
Y
CL-USER> (let ((x x) ; these variables shadow previously defined
(y y)) ; X and Y in body of LET
(when (> x y)
(rotatef x y))
(cons x y))
(1 . 2)
CL-USER> x ; here the original variables are intact
2 ; ^
CL-USER> y ; ^
1 ; ^
However, I think that in every such practical case there are lispier ways to solve problem without macros. Answer by msandiford is probably the best from functional point of view.
psetf
Although rotatef is really efficient method (it probably would be compiled to about three machine instructions swapping pointers in memory), it is not general.
Rainer Joswing posted just a great solution as a comment shortly after posting of the question. To my shame, I checked macro psetf only few minutes ago, and this should be very efficient and general solution.
Macro psetf first evaluates its even arguments, then assigns evaluated values to variables at odd positions just like setf does.
So we can write:
(let ((x x)
(y y))
(when (> x y)
(psetf x y y x))
...)
And that's it, one can conditionally rebind anything to anything. I think it's way better than using macros. Because:
I don't think it's such a common situation;
Some macros in the posted answers repeat their body code, which may be really big: thus you get bigger compiled file (it's fair price for using macro, but not in this case);
Every custom macro does make code harder to understand for other people.
One solution is to use progv instead of let, its first argument is a list of symbols to bind values to, second argument is a list of values, rest is body.
(progv '(x y) (if (< x y) (list x y) (list y x))
(cons x y)) ; outputs (1 . 2)
Another alternative might be:
(let ((x (min x y))
(y (max x y)))
(cons x y))
My suggestion would be one of destructuring-bind or multiple-value-bind.
If you anticipate needing to do this a lot, I would suggest using a macro to generate the bindings. I've provided a possible macro (untested).
(defmacro cond-let (test-expr var-bindings &body body)
"Execute BODY with the VAR-BINDINGS in place, with the bound values depending on
the trueness of TEST-EXPR.
VAR-BINDINGS is a list of (<var> <true-value> <false-value>) with missing values
being replaced by NIL."
(let ((var-list (mapcar #'car var-bindings))
(then-values (mapcar #'(lambda (l)
(when (cdr l)
(nth 1 l)))
var-bindings))
(else-values (mapcar #'(lambda (l)
(when (cddr l))
(nth 2 l)))
var-bindings))
`(destructuring-bind ,var-list
(if ,test-expr
(list ,#then-values)
(list ,#else-values)))))

Renaming lambda in Common Lisp

I started learning Common Lisp recently, and (just for fun) decided to rename the lambda macro.
My attempt was this:
> (defmacro λ (args &body body) `(lambda ,args ,#body))
It seems to expand correctly when by itself:
> (macroexpand-1 '(λ (x) (* x x)))
(LAMBDA (X) (* X X))
But when it's nested inside an expression, execution fails:
> ((λ (x) (* x x)) 2)
(Λ (X) (* X X)) is not a function name; try using a symbol instead
I am probably missing something obvious about macro expansion, but couldn't find out what it is.
Maybe you can help me out?
edit:
It does work with lambda:
> ((lambda (x) (* x x)) 2)
4
edit 2:
One way to make it work (as suggested by Rainer):
> (set-macro-character #\λ (lambda (stream char) (quote lambda)))
(tested in Clozure CL)
In Common Lisp LAMBDA is two different things: a macro and a symbol which can be used in a LAMBDA expression.
The LAMBDA expression:
(function (lambda (x) (foo x)))
shorter written as
#'(lambda (x) (foo x))
An applied lambda expression is also valid:
((lambda (x) (+ x x)) 4)
Above both forms are part of the core syntax of Common Lisp.
Late in the definition of Common Lisp a macro called LAMBDA has been added. Confusingly enough, but with good intentions. ;-) It is documented as Macro LAMBDA.
(lambda (x) (+ x x))
expands into
(function (lambda (x) (+ x x))
It makes Common Lisp code look slightly more like Scheme code and then it is not necessary to write
(mapcar #'(lambda (x) (+ x x)) some-list)
With the LAMBDA macro we can write
(mapcar (lambda (x) (+ x x)) some-list)
Your example fails because
((my-lambda (x) (* x x)) 2)
is not valid Common Lisp syntax.
Common Lisp expects either
a data object
a variable
a function call in the form (function args...)
a function call in the form ((lambda (arglist ...) body) args...)
a macro form like (macro-name forms...)
a special form using one of the built-in special operators like FUNCTION, LET, ...
defined in the list of special operators in Common Lisp
As you can see a syntax of
((macro-name forms...) forms...)
is not a part of Common Lisp.
It is possible to read the character λ as LAMBDA:
(defun λ-reader (stream char)
(declare (ignore char stream))
'LAMBDA)
(set-macro-character #\λ #'λ-reader)
Example:
CL-USER 1 > ((λ (x) (* x x)) 3)
9
CL-USER 2 > '(λ (x) (* x x))
(LAMBDA (X) (* X X))
You might also think of LAMBDA as an operator which, given a term and a list of free variables, returns a function. This p.o.v. takes LAMBDA out of the family of basic functions and elementary macros -- at least as far as the interpreter is concerned.
(defun lambda-char (stream char)
"A lambda with only ONE arg _"
(declare (ignore char))
(let ((codes (read stream nil)))
`(lambda (_) ,codes)))
(set-macro-character #\λ #'lambda-char t)
λ(+ 1 2 _) ; => (lambda (_) (+ 1 2 _))
Maybe this is more concise, with ONLY ONE arg of _