Changing copies of lists in LISP - lisp

In LISP, I have a function that is passed a list. I would like to change an element of this list without changing the original list. Normally, I would use copy-list to create the local copy of the list which I will change, but this doesn't seem to be working:
CL-USER> (defun test (item)
(let ((copy (copy-list item)))
(setf (nth 0 (nth 0 (nth 0 copy))) t)
(print item)
(print copy)))
CL-USER> (defparameter item `(((NIL NIL) (NIL NIL) (NIL NIL))
((NIL NIL NIL) (NIL NIL NIL))
((3 3) (NIL NIL))))
CL-USER> (test item)
(((T NIL) (NIL NIL) (NIL NIL)) ((NIL NIL NIL) (NIL NIL NIL)) ((3 3) (NIL NIL)))
(((T NIL) (NIL NIL) (NIL NIL)) ((NIL NIL NIL) (NIL NIL NIL)) ((3 3) (NIL NIL)))
(((T NIL) (NIL NIL) (NIL NIL)) ((NIL NIL NIL) (NIL NIL NIL)) ((3 3) (NIL NIL)))
CL-USER> item
(((T NIL) (NIL NIL) (NIL NIL)) ((NIL NIL NIL) (NIL NIL NIL)) ((3 3) (NIL NIL)))
As you can see, the value of item was changed by test even though I copied the list into a local variable and changed the local copy. This seems to be a symptom of using nth. If I use a single call of car rather than the repeated call to nth, the function works as expected and the item is unchanged after the call.
Why does nth behave like this and how can I continue to use nth without altering the value passed to test?
I am using Common Lisp.

Short answer: use cl:copy-tree
You probably want to copy the whole tree with copy-tree. The copy made by copy-list only generates new "backbone"; you get a new list, but with the same elements. Copy-tree will copy all the cons-tree structure that makes up the tree.
Long answer: list structure vs. tree structure
The background here is referenced in the documentation. From the HyperSpec:
Function COPY-LIST
Only the list structure of list is copied; the elements of the
resulting list are the same as the corresponding elements of the given
list.
That glossary entry for list structure is important:
list structure n. (of a list) the set of conses that make up the list.
Note that while the car component of each such cons is part of the
list structure, the objects that are elements of the list (i.e., the
objects that are the cars of each cons in the list) are not
themselves part of its list structure, even if they are conses, except
in the (circular) case where the list actually contains one of its
tails as an element. (The list structure of a list is sometimes
redundantly referred to as its "top-level list structure" in order
to emphasize that any conses that are elements of the list are not
involved.)
As a very simple example, we can exploit the fact that *print-circle* will show us common substructure:
CL-USER> (setf *print-circle* t)
T
CL-USER> (let ((l '((a b c) (d e f))))
(list l (copy-list l)))
;=> ((#1=(A B C) #2=(D E F)) (#1# #2#))
CL-USER> (let ((l '((a b c) (d e f))))
(list l (copy-tree l)))
;=> (((A B C) (D E F)) ((A B C) (D E F)))
The HyperSpec entry on copy-tree doesn't link to tree structure, but there is a glossary entry:
tree structure n. (of a tree) the set of conses that make up the
tree. Note that while the car component of each such cons is part
of the tree structure, the objects that are the cars of each cons
in the tree are not themselves part of its tree structure unless they
are also conses.
That second sentence is a bit strange, but it's probably just in there as a minimally adjusted copy and paste of the list structure entry. See my answer to Definition of tree structure in Lisp for a bit more about that.

Related

LISP - Replace values in a list

I have a list of nils (NIL NIL NIL NIL) and i need to add two X in place of the two first NILs, so it becomes (X X NIL NIL).
I have the following code:
(cons x (cons x (cons (cdr '(NIL NIL NIL NIL))nil)))
But this way it returns
(X X (NIL NIL))
Those parenteses need to be removed, and i don't know how. Can someone help me?
Thanks
If you pass a list to the first argument of cons then you are making a nested list. First lets say we make your initial list and the symbol x variables:
(defparameter *nils* '(nil nil nil nil))
*nils* ; ==> (nil nil nil nil)
(defparameter *x* 'x)
*x* ; ==> x
So how do we remove the two first. Well we can remove one with (cdr *nils*) so that means we can do it twice:
(cdr (cdr *nils*))
; ==> (nil nil)
Actually more than one car and cdr accessor has a shorthand upto 5 combinations. The shorthand is just starting with c and do the a/d's and end with r like this:
(cddr *nils*)
; ==> (nil nil)
Goodie, how do we add *x* in front of that? Well cons is defines as making an element in front of the second argument, thus (cons *x* (cddr *nils*)) will make(x nil nil). Again if you want to have anotherx` in front of that you do the same with the firt result:
(cons *x* (cons *x* (cddr *nils*)))
; ==> (x x nil nil)
Using list* is like nested cons with a tail in the end. Thus the above code can be replaced with:
(list* *x* *x* (cddr *nils*))
; ==> (x x nil nil)
Now replacing the variables the expression that was stored as their value (substitution method):
(list* 'x 'x (cddr '(nil nil nil nil)))
; ==> (x x nil nil)
(list* X X (nthcdr 2 your-list))
The function NTHCDR returns the list with two first elements dropped & the function LIST* returns a new list appending specified items at the front.
Observe that thus you obtain a new list rather then modify the original one. If you really want to modify the original list (this may very well be a bad idea, proceed with caution), you can just make the assignment:
(setf (first your-list) 'X)
(setf (second your-list) 'X)
Modifying a list like this may result in modifications of seemingly unrelated data. It is not compatible with the quoted literal list, anyway.

Checking circularity in lisp - same variable through recursive function

I'm trying to create a function that would test whether the given list is circular with a re-starting point being the beginning of the list.
Expected results:
(setq liste '(a b c))
(rplacd (cddr liste) liste)
(circular liste) => t
(circular '(a b c a b c)) => nil
As I simply want to test if any subsequent item is 'eq' to the first one, I don't want to build the whole tortoise and hare algorithm.
Here is my code :
(defun circular (liste)
(let (beginningliste (car liste)))
(labels ( (circ2 (liste)
(cond
((atom liste) nil)
((eq (car liste) beginningliste) t)
(t (circ2 (cdr liste)))
) ) ) ) )
It doesn't give the expected result but I don't understand where my error is
I'm not sure I'm using 'labels' correctly
Is there a way to do that without using 'labels'?
Edit. I guess I have answered my third question as I think I have found a simpler way. Would this work?
(defun circular (liste)
(cond
((atom liste) nil)
((eq (car liste) (cadr liste)) t)
(t (circular (rplacd liste (cddr liste))))
)
)
First, the behavior is undefined when you mutate constant data: when you quote something (here the list), the Lisp environment has the right to treat it as a constant. See also this question for why defparameter or defvar is preferred over setq. And so...
(setq list '(a b c))
(rplacd (cddr list) list)
... would be better written as:
(defparameter *list* (copy-list '(a b c)))
(setf (cdr (last *list*)) *list*)
Second, your code is badly formatted and has bad naming conventions (please use dashes to separate words); here it is with a conventional layout, with the help of emacs:
(defun circularp (list)
(let (first (car list)))
(labels ((circ2 (list)
(cond
((atom list) nil)
((eq (car list) first) t)
(t (circ2 (cdr list))))))))
With that formatting, two things should be apparent:
The let contains no body forms: you define local variables and never use them; you could as well delete the let line.
Furthermore, the let is missing one pair of parenthesis: what you wrote defines a variable name first and another one named car, bound to list. I presume you want to define first as (car list).
You define a local circ2 function but never use it. I would expect the circularp function (the -p is for "predicate", like numberp, stringp) to call (circ2 (cdr list)). I prefer renaming circ2 as visit (or recurse), because it means something.
With the above corrections, that would be:
(defun circularp (list)
(let ((first (car list)))
(labels ((visit (list)
(cond
((atom list) nil)
((eq (car list) first) t)
(t (visit (cdr list))))))
(visit (cdr list)))))
However, if your list is not circular but contains the same element multiple times (like '(a a b)), you will report it as circular, because you inspect the data it holds instead of the structure only. Don't look into the CAR here:
(defun circularp (list)
(let ((first list))
(labels ((visit (list)
(cond
((atom list) nil)
((eq list first) t)
(t (visit (cdr list))))))
(visit (cdr list)))))
Also, the inner function is tail recursive but there is no guarantee that a Common Lisp implementation automatically eliminates tail calls (you should check with your implementation; most can do it on request). That means you risk allocating as many call stack frames as you have elements in the list, which is bad. Better use a loop directly:
(defun circularp (list)
(loop
for cursor on (cdr list)
while (consp cursor)
thereis (eq cursor list)))
Last, but not least: your approach is a very common one but fails when the list is not one big circular chain of cells, but merely contains a loop somewhere. Consider for example:
CL-USER> *list*
#1=(A B C . #1#)
CL-USER> (push 10 *list*)
(10 . #1=(A B C . #1#))
CL-USER> (push 20 *list*)
(20 10 . #1=(A B C . #1#))
(see that answer where I explain what #1= and #1# mean)
The lists with numbers in front exhibit circularity but you can't just use the first cons cell as a marker, because you will be looping forever inside the sublist that is circular. This is the kind or problems the Tortoise and Hare algorithm solves (there might be other techniques, the most common being storing visited elements in a hash table).
After your last edit, here is what I would do if I wanted to check for circularity, in a recursive fashion, without labels:
(defun circularp (list &optional seen)
(and (consp list)
(or (if (member list seen) t nil)
(circularp (cdr list) (cons list seen)))))
We keep track of all the visited cons cells in seen, which is optional and initialized to NIL (you could pass another value, but that can be seen as a feature).
Then, we say that a list is circular with respect to seen if it is a cons cell which either: (i) already exists in seen, or (ii) is such that its CDR is circular with respect to (cons list seen).
The only additional trick here is to ensure the result is a boolean, and not the return value of member (which is the sublist where the element being searched for is the first element): if your environment has *PRINT-CIRCLE* set to NIL and the list is actually circular, you don't want it to try printing the result.
Instead of (if (member list seen) t nil), you could also use:
(when (member list seen))
(position list seen)
and of course (not (not (member list seen)))

Convert lisp function to use map

Hello I am looking forward to convert my existing function:
(defun checkMember (L A)
(cond
((NULL L) nil)
( (and (atom (car L)) (equal (car L) A)) T )
(T (checkMember (cdr L) A))))
To use map functions, but i honestly cant understand exactly how map functions work, could you maybe advice me how this func's work?
this is my atempt:
(defun checkMem (L A)
(cond
((NULL L) nil)
( (and (atom (car L)) (equal (car L) (car A))) T )
(T (mapcar #'checkMem (cdr L) A))))
A mapping function is not appropriate here because the task involves searching the list to determine whether it contains a matching item. This is not mapping.
Mapping means passing each element through some function (and usually collecting the return values in some way). Sure, we can abuse mapping into solving the problem somehow.
But may I instead suggest that this is a reduce problem rather than a mapping problem? Reducing means processing all the elements of a list in order to produce a single value which summarizes that list.
Warm up: use reduce to add elements together:
(reduce #'+ '(1 2 3)) -> 6
In our case, we want to reduce the list differently: to a single value which is T or NIL based on whether the list contains some item.
Solution:
(defun is-member (list item)
(reduce (lambda (found next-one) (or found (eql next-one item)))
list :initial-value nil))
;; tests:
(is-member nil nil) -> NIL
(is-member nil 42) -> NIL
(is-member '(1) 1) -> T
(is-member '(1) 2) -> NIL
(is-member '(t t) 1) -> NIL ;; check for accumulator/item mixup
(is-member '(1 2) 2) -> T
(is-member '(1 2) 3) -> NIL
...
A common pattern in using a (left-associative) reduce function is to treat the left argument in each reduction as an accumulated value that is being "threaded" through the reduce. When we do a simple reduce with + to add numbers, we don't think about this, but the left argument of the function used for the reduction is always the partial sum. The partial sum is initialized to zero because reduce first calls the + function with no arguments, which is possible: (+) is zero in Lisp.
Concretely, what happens in (reduce #'+ '(1 2 3)) is this:
first, reduce calls (+) which returns 0.
then, reduce calls (+ 0 1), which produces the partial sum 1.
next, reduce calls (+ 1 2), using the previous partial sum as the left argument, and the next element as the right argument. This returns 3, of course.
finally, reduce calls (+ 3 3), resulting in 6.
In our case, the accumulated value we are "threading" through the reduction is not a partial sum, but a boolean value. This boolean becomes the left argument which is called found inside the reducing function. We explicitly specify the initial value using :initial-value nil, because our lambda function does not support being called with no arguments. On each call to our lambda, we short-circuit: if found is true, it means that a previous reduction has already decided that the list contains the item, and we just return true. Otherwise, we check the right argument: the next item from the list. If it is equal to item, then we return T, otherwise NIL. And this T or NIL then becomes the found value in the next call. Once we return T, this value will "domino" through the rest of the reduction, resulting in a T return out of reduce.
If you insist on using mapping, you can do something like: map each element to a list which is empty if the element doesn't match the item, otherwise nonempty. Do the mapping in such a way that the lists are catenated together. If the resulting list is nonempty, then the original list must have contained one or more matches for the item:
(defun is-member (list item)
(if (mapcan (lambda (elem)
(if (eq elem item) (list elem))) list)
t))
This approach performs lots of wasteful allocations if the list contains many occurrences of the item.
(The reduce approach is also wasteful because it keeps processing the list after it is obvious that the return value will be T.)
What about this:
(defun checkMember (L a)
(car (mapcan #'(lambda (e)
(and (equal a e) (list T)))
L)))
Note: it does not recurse into list elements, but the original function did not either.
(defun memb (item list)
(map nil
(lambda (element)
(when (eql item element)
(return-from memb t)))
list))
Try this,
Recursive version:
(defun checkmember (l a)
(let ((temp nil))
(cond ((null l) nil) ((find a l) (setf temp (or temp t)))
(t
(mapcar #'(lambda (x) (cond ((listp x)(setf temp (or temp (checkmember x a))))))
l)))
temp))
Usage: (checkmember '(1 (2 5) 3) 20) => NIL
(checkmember '(1 (2 5) 3) 2) => T
(checkmember '(1 2 3) 2) => T
(checkmember '((((((((1)))))))) 1) = T

Lisp (null (QUOTE NIL)) returns NIL

I am new to lisp and I'm trying to a simple check to see if a list is empty. For test purposes i created this test function:
(defun test (list)
(if (null (caddr list))
(make-node 1)
(caddr list)))
if uses the make-node function defined as:
(defun make-node (atm)
(cons atm `(`() `())))
when running (make-node 6) I get:
(6 (QUOTE NIL) (QUOTE NIL))
which is what I want.
i then call (test (make-node 6)) which i then get:
(QUOTE NIL)
which is the (caddr list) from test. if you run (null (QUOTE NIL)) you get T which is what i want to get but when i run it from the given test function i receive NIL.
So my question is why when i check if this is null why do i get NIL instead of T?
When you evaluate (null (quote nil)), (quote nil) is evaluated, resulting in nil being used as the argument for the function null.
However when you evaluate something like (null (function-returning-quote-nil)), function-returning-quote-nil is evaluated, resulting in the list (quote nil) which is then used as the argument for the function null without further evaluation.
Compare to the difference between
(null (quote nil)) ; => t
and
(null '(quote nil)) ; => nil
(CADDR '(6 (QUOTE NIL) (QUOTE NIL))) ; ==> (QUOTE NIL) or just 'NIL
The list with the two symbols QUOTE and NIL are not equal to NIL. Only NIL is equal to NIL. eg.
(DEFPARAMETER TEST 'NIL)
TEST ; ==> NIL
(NULL TEST) ; ==> T
This works since 'NIL gets evaluated to NIL and assigned to TEST. TEST gets evaluated to NIL and it's CLs NULL value. However:
(DEFPARAMETER TEST2 ''NIL)
TEST2 ; ==> 'NIL or (QUOTE NIL)
(NULL TEST2) ; ==> NIL
A list with two elements QUOTE and NIL, famously displayed as 'NIL, is NOT NIL. Only NIL is NIL.
EDIT
After looking at your comments about unquoting I'm pretty sure you want this as make-node:
(defun make-node (atm)
(cons atm '(() ())))
(test (make-node 6)) ; ==> (1 NIL NIL)
There is no such thing as unquoting in a data structure and unless you actually want the symbol quote in your data there is no sense in having quotes inside something quoted. (Half truth since there is, but it involves macros)

LISP modify list passed as argument

So i got this function that receives a list as an argument
(defun do-transf (lst)
...
my initial lst is ((NIL NIL) (NIL NIL))
but in the end i want the lst becomes
(NIL NIL NIL NIL)
example
(defvar a (list (list NIL NIL) (list NIL NIL)))
(do-transf a)
(NIL NIL NIL NIL) -> gives the right answer but when i call the list this isnt the answer
a
((NIL NIL) (NIL NIL)) -> i dont want this
Your post suggests that you wish to do list concatenation, i.e. append lists to another.
As such, try this:
(defvar a (list (list NIL NIL) (list NIL NIL)))
(apply #'append a)
This outputs:
(NIL NIL NIL NIL)
Short, simple, sweet.
UPDATE:
Since you want destructive behavior (that is, modification of the original value of a):
(setq a (apply #'append a))
Now, a is set to this new value (from ((NIL NIL) (NIL NIL))):
(NIL NIL NIL NIL)
Typically, lisp functions don't mutate the data they operate on. This is not a required property, but it does make it much easier writing and reasoning about large code bases.
So, what typically happens is that a function will return a copy of the new data, that can then replace the old value in a variable, at the discretion of the caller.
Even when functions destructively modify data structures, they tend to return the new resulting value.
If we look at the following code:
(defvar *example* '(delete 2 3 4))
=> *example*
(delete 'delete *example*)
=> (2 3 4)
*example*
=> (delete 2 3 4)
This is because there is no way for the function to destructively modify *example* so it loses the first element, so even when you are using destructive, mutating functions, they need to return a value suitable for storing back into the variable that the input came from.
Try using flatten..
(defvar a (flatten (list (list NIL NIL) (list NIL NIL))))