Lisp exit defun function with nil as value - recursion

I'm trying to do a recursive version of the function position called positionRec. The objective is define the position of an element in a list, and if the element is not in the list return "nil". For exemple:
(positionRec 'a '(b c d a e)) => 4
(positionRec 'a '(b c d e)) => nil
I have written:
(defun positionRec (c l)
(cond
((atom l) (return nil))
((equal c (first l)) 1)
(t (+ 1 (positionRec c (rest l)))) ) )
I don't succeed to return nil. I have an error "*** - return-from: no block named nil is currently visible"
Anyone can teach me how to do it?

Lisp is an expression language: it has only expressions an no statemends. This means that the value of a call to a function is simply the value of the last form involved in that call This is different than many languages which have both statements and expressions and where you have to explicitly litter your code with explicit returns to say what the value of a function call is.
A cond form in turn is an expression. The value of an expression like
(cond
(<test1> <test1-form1> ... <test1-formn>)
(<test2> <test1-form1> ... <test1-formn>)
...
(<testn> <testn-form1> ... <testn-formnn>))
is the <testm-formn> of the first <testm> which is true, or nil if none of them are (and as a special case, if there are no forms after a test which is true the value is the value of that test).
So in your code you just need to make sure that the last form in the test which succeeds is the value you want:
(defun positionRec (c l)
(cond
((atom l) nil)
((equal c (first l)) 1)
(t (+ 1 (positionRec c (rest l))))))
So, what use is return? Well, sometimes you really do want to say 'OK, in the middle of some complicated loop or something, and I'm done now':
(defun complicated-search (...)
(dolist (...)
(dolist (...)
(dotimes (...)
(when <found-the-interesting-thing>
(return-from complicated-search ...))))))
return itself is simply equivalent to (return-from nil ...) and various constructs wrap blocks named nil around their bodies. Two such, in fact, are dotimes and dolist, so if you want to escape from a big loop early you can do that:
(defun complicated-search (...)
(dolist (...)
(when ...
(return 3)))) ;same as (return-from nil 3)
But in general because Lisp is an expression language you need to use return / return-from much less often than you do in some other languages.
In your case, the modified function is going to fail: if you get to the ((atom l) nil) case, then it will return nil to its parent which will ... try to add 1 to that. A better approach is to keep count of where you are:
(defun position-of (c l)
(position-of-loop c l 1))
(defun position-of-loop (c l p)
(cond
((atom l) nil)
((equal c (first l)) p)
(t (position-of-loop c (rest l) (1+ p)))))
Note that this (as your original) uses 1-based indexing: zero-based would be more compatible with the rest of CL.
It would probably be idiomatic to make position-of-loop a local function:
(defun position-of (c l)
(labels ((position-of-loop (lt p)
(cond
((atom lt) nil)
((equal c (first lt)) p)
(t (position-of-loop (rest lt) (1+ p))))))
(position-of-loop l 1)))
And you could then use an iteration macro if you wanted to make it a bit more concise:
(defun position-of (c l)
(iterate position-of-loop ((lt l) (p 1))
(cond
((atom lt) nil)
((equal c (first lt)) p)
(t (position-of-loop (rest lt) (1+ p))))))

The main problem is that you're trying to deal with incommensurable values. On the one hand, you want to deak with numbers, on the other, you want to deal with the empty list. You cannot add a number to a list, but you will inherently try doing so (you have an unconditional (1+ ...) call in your default branch in your cond).
There are ways to work around that, one being to capture the value:
(cond
...
(t (let ((val (positionRec c (rest l))))
(when val ;; Here we "pun" on nil being both false and the "not found" value
(1+ val)))))
Another would be to use a method amenable to tail-recursion:
(defun positionrec (element list &optional (pos 1))
(cond ((null list) nil)
((eql element (head list)) pos)
(t (positionrec element (rest list) (1+ pos)))))
The second function can (with a sufficently smart compiler) be turned into, basically, a loop. The way it works is by passing the return value as an optional parameter.
You could build a version using return, but you would probably need to make use of labels for that to be straight-forward (if you return nil directly from the function, it still ends up in the (1+ ...), where you then have numerical incompatibility) so I would go with either "explicitly capture the value and do the comparison against nil/false" or "the version amenable to tail-call elimination" and simply pick the one you find the most readable.

Related

Clisp : select sublists with a given length

Working on CLISP in Sublime Text.
Exp. in CLISP : less than 1 year
It's already for a while that I'm trying to solve this exercice... without success... as you might guess.
In fact I have to create a function which will modify the list and keeps only sublists which are equals or greater than the given number (watch below)
The list on which I have to work :
(setq liste '((a b) c (d) (e f) (e g x) f))
I'm supposed to find this as result :
(lenght 2 liste) => ((a b) (e f) (e g x))
liste => ((a b) (e f) (e g x))
Here my code :
(defun lenght(number liste)
(cond
((atom liste) nil)
((listp (car liste))
(rplacd liste (lenght number (cdr liste))) )
((<= (lenght number (car liste)) number)
(I don't know what to write) )
((lenght number (cdr liste))) ) )
It will be very kind if you could give me only some clue so as to let me find the good result.
Thanks guys.
Modifying the list does not make much sense, because it gets hairy at the head of the list to retain the original reference. Return a new list.
This is a filtering operation. The usual operator in Common Lisp for that is remove-if-not (or remove-if, or remove, depending on the condition). It takes a predicate that should return whether the element should be kept. In this case, it seems to be (lambda (element) (and (listp element) (>= (length element) minlength))).
(defun filter-by-min-length (minlength list)
(remove-if-not (lambda (element)
(and (listp element)
(>= (length element) minlength)))
list))
In many cases, when the condition is known at compile time, loop produces faster compiled code:
(defun filter-by-min-length (minlength list)
(loop :for element :in list
:when (and (listp element)
(>= (length element) minlength))
:collect element))
This returns a new list that fulfills the condition. You'd call it like (let ((minlength-list (filter-by-min-length 2 raw-list))) …).
Many basic courses insist on recursively using primitive operations on cons cells for teaching purposes at first.
The first attempt usually disregards the possible stack exhaustion. At each step, you first look whether you're at the end (then return nil), whether the first element should be discarded (then return the result of recursing on the rest), or if it should be kept (then cons it to the recursion result).
If tail call optimization is available, you can refactor this to use an accumulator. At each step, instead of first recursing and then consing, you cons a kept value onto the accumulator and pass it to the recursion. At the end, you do not return nil, but reverse the accumulator and return that.
Well, I have found the answer that I was looking for, after scratching my head until blood...
Seriously, here is the solution which is working (and thanks for the correction about length which helped me to find the solution ^^) :
(defun filter-by-min-length (min-length liste)
(cond
((atom liste) nil)
((and (listp (car liste))(>= (length (car liste)) min-length))
(rplacd liste (filter-by-min-length min-length (cdr liste))) )
((filter-by-min-length min-length (cdr liste))) ) )
A non-modifying version
(defun filter-by-min-length (min-length le)
(cond ((atom le) nil)
((and (listp (car le)) (>= (length (car le)) min-length))
(cons (car le) (filter-by-min-length min-length (cdr le))))
(t (filter-by-min-length min-length (cdr le)))))
Test:
(defparameter *liste* '((a b) c (d) (e f) (e g x) f))
(filter-by-min-length 2 *liste*)
;; ((A B) (E F) (E G X))
*liste*
;; ((A B) C (D) (E F) (E G X) F) ; -> *liste* not modified
For building good habits, I would recommend to use defparameter instead of setq, since the behaviour of setq might not always be defined (see here). In the link, it is said:
use defvar, defparameter, or let to introduce new variables. Use setf
and setq to mutate existing variables. Using them to introduce new
variables is undefined behaviour

I working through little lisper. The function lat? checks whether all elements of list are atoms or not

(defun lat
(lambda (l)
(cond ((null l) t)
((atom (car l))(lat (cdr l))
(t nil))))
The function takes a list as an argument. It is a recursive function that checks every element in the list. Whether it is atom or not. If every element is an atom, then it returns true else false.
Following is the error displayed
While compiling LAT :
Bad lambda list : (LAMBDA (L)
(COND ((NULL L) T) ((ATOM # #)) (T NIL)))
[Condition of type CCL::COMPILE-TIME-PROGRAM-ERROR]
Just like Hal Abelson called Scheme "lisp" in the SICP videos this book does the same, however the language in the book is a predecessor to Scheme and not Common Lisp. When you see:
(define name
(lambda (arg ...)
body ...)
This is the same as this in CL:
(defun name (arg ...)
body ...)
The reason is that in Scheme it's the same namespace for operator as well as operand bindings. A lisp-2 like Common Lisp can split it up like this:
(setf (fdefinition 'name)
(lambda (arg ...)
body ...))
This probably won't happen since you can always use defun, but in the event you return a function from a function you can do this or you must rely on funcall or apply to use the returned value:
;; This is a function that creates a function
(defun get-counter (from step)
(lambda ()
(let ((tmp from))
(incf from step)
tmp)))
When using this you might want to bind it globally:
(setf (fdefinition 'evens) (get-counter 0 2))
(evens) ; ==> 0
(evens) ; ==> 2
Or in functions you get it bound to normal variables and need to funcall or apply:
(defparameter *odds* (get-counter 1 2))
(funcall *odds*)
; ==> 1
Which one do you prefer?
(list (funcall *odds*) (evens))
; ==> (3 4)
The ? in lat? inidicated predicate and in CL a p in the end does the same. Your function latp is suppose to return nil or t so it should not return a function at all. Thus:
(defun latp (list)
(cond ((null list) t)
((atom (car list)) (latp (cdr list)))
(t nil)))
This of course is the same as:
(defun latp (list)
(or (null list)
(and (atom (car list))
(latp (cdr list)))))
Unlike Scheme using the name list as the argument does not affect the function call to list.

Find position of atom - return nil if not present

I am trying to find the position of an atom in the list.
Expected results:
(position-in-list 'a '(a b c d e)) gives 0
(position-in-list 'b '(a b c d e)) gives 1
(position-in-list 'Z '(a b c d e)) gives nil.
I have a function that gives the position correctly when the item is in the list:
(defun position-in-list (letter list)
(cond
((atom list) nil)
((eq (car list) letter) 0)
(t (+ 1 (position-in-list letter (cdr list))))))
The problem is that it doesn't return nil when the item is not present, as if it reaches (atom list) nil it will give this error: *** - 1+: nil is not a number as when it unstacks, it will try to add the values to nil.
Is there a way to adapt this function (keeping the same structure) so that it correctly returns nil when the item is not in the list?
Notes:
I know that there is a position function in the library, but I don't want to use it.
I know my question is similar to this one, but the problem I mention above is not addressed.
* edit *
Thanks to all of you for your answers. Although I don't have the necessary knowledge to understand all the suggestions you mentioned, it was helpful.
I have found another fix to my problem:
(defun position-in-list (letter liste)
(cond
((atom liste) nil)
((equal letter (car liste)) 0)
((position-in-list letter (cdr liste)) (+ 1 (position-in-list letter (cdr liste)))) ) )
One possible solution is to make the recursive function a local function from another function. At the end one would then return from the surrounding function - thus you would not need to return the NIL result from each recursive call.
Local recursive function returns from a function
Local recursive functions can be defined with LABELS.
(defun position-in-list (letter list)
(labels ((position-in-list-aux (letter list)
(cond
((atom list) (return-from position-in-list nil))
((eql (first list) letter) 0)
(t (+ 1 (position-in-list-aux
letter (cdr list)))))))
(position-in-list-aux letter list)))
This RETURN-FROM is possible because the function to return from is visible from the local function.
Recursive function returns to another function
It's also possible to return control to another function using CATCH and THROW:
(defun position-in-list (letter list)
(catch 'position-in-list-catch-tag
(position-in-list-aux letter list)))
(defun position-in-list-aux (letter list)
(cond
((atom list) (throw 'position-in-list-catch-tag nil))
((eql (first list) letter) 0)
(t (+ 1 (position-in-list-aux
letter (cdr list))))))
Test function EQL
Note also that the default test function by convention is EQL, not EQ. This allows also numbers and characters to be used.
You need to check the value returned by the recursive call:
(defun position-in-list (letter list)
(cond
((atom list) nil)
((eq (car list) letter) 0)
(t
(let ((found (position-in-list letter (cdr list))))
(and found
(1+ found))))))
Please note that this implementation is not tail-recursive.
In general, it's useful to provide a :test keyword parameter to pick what equality function we should use, so we do that. It's also handy to give the compiler the ability to tail-call-optimise (note, TCO is not required in Common Lisp, but most compilers will do so with the right optimisation settings, consult your compiler manual), so we use another keyword parameter for that. It also means that whatever we return from the innermost invocation is returned exactly as-is, so it does not matter if we return a number or nil.
(defun position-in-list (element list &key (test #'eql) (position 0))
(cond ((null list) nil)
((funcall test element (car list)) position)
(t (position-in-list element
(cdr list)
:test test :position (1+ position)))))
Of course, it is probably better to wrap the TCO-friendly recursion in an inner function, so we (as Rainer Joswig correctly points out) don't expose internal implementation details.
(defun position-in-list (element list &key (test #'eql)
(labels ((internal (list position)
(cond ((null list) nil)
((eql element (car list)) position)
(t (internal (cdr list) (1+ position))))))
(internals list 0)))

How to make deep-reverse function in Lisp

I am trying to make deep-reverse function in lisp. For example:
(a (b c d) e) -> (e (d c b) a)
Here is my code.
(defun deeprev (l)
(cond ((null l) nil)
((list (car l)) (append (deeprev (cdr l)) (deeprev (car l))))
(t (append (deeprev (cdr l))(car l)))
)
)
Whenever I compile and load, I have an error:
Error: Attempt to take the car of E which is not listp
The easiest option would be to just REVERSE the current list, and use MAPCAR to reverse all sublist with the same function.
(defun tree-reverse (tree)
"Deep reverse TREE if it's a list. If it's an atom, return as is."
(if (listp tree)
(mapcar #'tree-reverse
(reverse tree))
tree))
(tree-reverse '(a (b c d) e)) ;=> (E (D C B) A)
In your function, you assume that if the l input variable is not nil, then it is necessarily a cons-cell, because you unconditionally takes (car l) inside the (list ...) function. That's why you have an error. There are many other things that are not nil which could be bound to l at this point, like numbers or symbols.
By the way, (list ...) just builds a list, you would need to use listp instead. Since you ruled out the nil case and a list is defined as either nil or a cons, you could have used also consp.

Finding the difference in an arithmetic progression in Lisp

I am totally new to Lisp.
How to find the difference between elements in an arithmetic progression series?
e.g.
(counted-by-N '(20 10 0))
Return -10
(counted-by-N '(20 10 5))
(counted-by-N '(2))
(counted-by-N '())
Returns Nil
In Python/C and other languages, it is very straightforward... Kinda stuck here in Lisp.
My pseudo algorithm would be something like this:
function counted-by-N(L):
if len(L) <= 1:
return Nil
else:
diff = L[second] - L[first]
for (i = second; i < len(L) - 1; i++):
if L[i+1] - L[i] != diff
return Nil
return diff
Current work:
(defun count-by-N (L)
(if (<= (length L) 1) Nil
(
(defvar diff (- (second L) (first L)))
; How to do the loop part?
))
)
(flet ((by-n (list &aux
(e1 (first list))
(e2 (second list))
(difference (and e1 e2 (- e2 e1))))
(and difference
(loop for (one two) on list
while (and one two)
when (/= (- two one) difference)
do (return-from by-n nil)))
difference))
(by-n '(20 10 0)))
or
(flet ((by-n (list &aux
(e1 (first list))
(e2 (second list))
(difference (and e1 e2 (- e2 e1))))
(when difference
(loop for (one two) on list
while (and one two)
when (/= (- two one) difference)
do (return-from by-n nil))
difference)))
(by-n '(20 10 0)))
As far as you said on the second answer the best choice you have to do this example is implement it recursively.
Example Using List Processing (good manners)
That way, you have some ways to do this example on the recursively and simple way:
(defun count-by-N-1 (lst)
(if (equal NIL lst)
NIL
(- (car (cdr lst)) (car lst))
)
(count-by-N-1 (cdr lst))
)
On this first approach of the function count-by-N-1 I am using the simple car and cdr instructions to simplify the basics of Common Lisp List transformations.
Example Using List Processing Shortcuts (best implementation)
However you can resume by using some shortcuts of the car and cdr instructions like when you want to do a a car of a cdr, like I did on this example:
(defun count-by-N-2 (lst)
(if (equal NIL lst)
NIL
(- (cadr lst) (car lst))
)
(count-by-N-2 (cdr lst))
)
If you have some problems to understand this kind of questions using basic instructions of Common Lisp List transformation as well as car and cdr, you still can choose the first, second and rest approach. However I recommend you to see some of this basic instructions first:
http://www.gigamonkeys.com/book/they-called-it-lisp-for-a-reason-list-processing.html
Example Using Accessors (best for understand)
(defun count-by-N-3 (lst)
(if (equal NIL lst)
NIL
(- (first (rest lst)) (first lst))
)
(count-by-N-3 (rest lst))
)
This last one, the one that I will explain more clearly since it is the most understandable, you will do a recursion list manipulation (as in the others examples), and like the others, until the list is not NIL it will get the first element of the rest of the list and subtract the first element of the same list. The program will do this for every element till the list is "clean". And at last returns the list with the subtracted values.
That way if you read and study the similarities between using first, second and rest approach against using car and cdr, you easily will understand the both two first examples that I did put here.
Here is my final answer of this question which uses recursion:
(defun diff (N)
(- (second N) (first N))
)
(defun count-by-N (L)
(cond
((null L) nil)
((= (length L) 1) nil)
((= (length L) 2) (diff L))
((= (diff L) (diff (rest L))) (count-by-N (rest L)))
(T nil)
)
)

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