Issue with extra nils in quicksort result - lisp

I'm new to lisp, and am writing code for quicksort. I am almost done, although the output is giving me some trouble. This is currently what I have:
(defun fil(P L)
(if (null L) nil
(if (funcall P (first L)) (cons (first L) (fil P (rest L)))
(fil P (rest L)))))
(defun qs(L)
(if (null L) nil
(let ((x (first L))
(gt (fil (lambda (x) (<= (first L) x))(rest L) ))
(lt (fil (lambda (x) (> (first L) x))(rest L))))
(cons (cons (qs lt) (first L)) (qs gt)))))
(write (qs '(4 2 3 1 7 3 5 3 6)))
This works, but the output looks like this:
((((((NIL . 1)) . 2) (NIL . 3) (NIL . 3) (NIL . 3)) . 4)
(((NIL . 5) (NIL . 6)) . 7))
I am not sure where the extra nils and periods and parentheses are coming from or how to fix it. Any advice is appreciated.

Look at
(cons '(a b c d) 'e)
Above code does not append E to the list.
CL-USER 4 > (cons '(a b c d) 'e)
((A B C D) . E)
It creates a new cons cell (a two element container) with the first arg and the second arg with its elements.
What you need, is to APPEND lists into a result list.

Adding to what #RainerJoswig said:
(defun %filter (pred l)
(cond ((null l) nil)
((funcall pred (car l)) (cons (car l) (%filter pred (cdr l))))
(t (%filter pred (cdr l)))))
(defun quicksort (l)
(cond ((null l) nil)
(t (let ((greater-than (%filter (lambda (x) (<= (car l) x)) (cdr l)))
(less-than (%filter (lambda (x) (> (car l) x)) (cdr l))))
(append (quicksort less-than) (list (car l)) (quicksort greater-than))))))
(quicksort '(4 2 3 1 7 3 5 3 6))
;; (1 2 3 3 3 4 5 6 7)
Alternatively also:
(defun %filter (pred l)
(mapcan (lambda (x) (if (funcall pred x) (list x) nil)) l))
(defun quicksort (l)
(cond ((null l) nil)
(t (append (quicksort (%filter (lambda (x) (< x (car l))) (cdr l)))
(list (car l))
(quicksort (%filter (lambda (x) (<= (car l) x)) (cdr l)))))))

Related

CLisp error: "(x) is not number"

This is my function that's supposed to implement infix evaluation for * and + operations.
(defun calculate(l)
(cond
((eql (cadr l) '+) (+ (car l) (cddr l)))
((eql (cadr l) '*) (- (car l) (cddr l)))
)
)
When I run this with the list '(3 + 4) it gives me an error saying "(4) is not a number". Any ideas what the problem might be?
Symbols can be called as functions. Thus your code is just this:
(defun calculate (l)
(funcall (second l) (first l) (third l)))
or
(defun calculate (l)
(destructuring-bind (arg1 op arg2)
l
(funcall op arg1 arg2)))
Example:
CL-USER 77 > (calculate '(20 + 30))
50
The part with (cddr l) should be (caddr l). You have to access the first element of the list, not the list. The code should be then:
(defun calculate(l)
(cond
((eql (cadr l) '+) (+ (car l) (caddr l)))
((eql (cadr l) '*) (- (car l) (caddr l)))
)
)

Replacing sublists with their last element

(defun rep(list)
(format t"~a~%" list)
(cond
((null list) nil)
((atom (car list)) (cons (car list) (rep (cdr list))))
((listp (car list)) (cons (car (reverse (car list))) (cdr list)))
(t (rep list))
)
)
Write a function to replace each sublist of a list with its last element.
A sublist is an element from the first level, which is a list.
Example:
(a (b c) (d (e (f)))) ==> (a c (e (f))) ==> (a c (f)) ==> (a c f)
(a (b c) (d ((e) f))) ==> (a c ((e) f)) ==> (a c f)
I have the above problem to solve. Got it till one point but I'm stuck.
Apparently it doesn't go to the next elements in the list and I don't know why. Any ideas?
I would break it down like this:
(defun last-element (lst)
(if (listp lst)
(last-element (car (last lst)))
lst))
(defun rep (lst)
(when lst
(cons (last-element (car lst)) (rep (cdr lst)))))
then
(rep '(a (b c) (d (e (f)))))
=> '(A C F)
Did it without using map functions
(defun rep(list)
(cond
((null list) nil)
((listp (car list)) (rep (cons (car (reverse (car list))) (rep (cdr list)))))
(t (cons (car list) (rep (cdr list))))
)
)

Confusion with sublists

I ran over an example of a problem which should determine the list of all non-numeric atoms at any level in a non-linear list.
(Defun Lis(L)
(Cond
((Null L) Nil)
((Not (Numberp (Car L))) (Cons (Car L) (Lis (Cdr L))))
((Atom (Car L)) (Lis (Cdr L)))
(T (Append (Lis (Car L)) (Lis (Cdr L))))
))
I took an example, (Lis '(1 A ((B) 6) (2 (C 3)) D 4)) which should return (A B C D)
Now I don't understand how can the list be created when the 3rd element of the list is evaluated ((B) 6).It will enter on the 2nd branch and do the cons?But that isn't constructing the new list with ((B) 6)?When will it enter on the last branch? I'm a little confused of how this algorithm works,can somebody make it clear for me?
The code works fine if you "invert" the 2 middle tests:
(defun lis(L)
(cond
((null L) nil)
((numberp (car L)) (lis (cdr L)))
((atom (car L)) (cons (car L) (lis (cdr L))))
(t (append (lis (car L)) (lis (cdr L))))))
because (not (numberp (car L))) is also true for lists so in the initial version the code never recurses down into a sublist.
I would write it as:
(defun tree-keep-if (predicate tree)
"Returns the list of all non-numeric atoms at any level in a cons tree."
(mapcan (lambda (item)
(cond ((consp item) (tree-keep-if predicate item))
((funcall predicate item) (list item))
((atom item) nil)))
tree))
Using it:
CL-USER > (tree-keep-if (complement #'numberp) '(1 A ((B) 6) (2 (C 3)) D 4))
(A B C D)
A more sophisticated version might remove the recursion to not be limited by stack size.

Quicksort in LISP

I am trying to do a quicksort using LISP but I am having trouble with my functions output.
(defun qsort (L)
(cond
((null L) nil)
(t(append
(qsort (list< (car L) (cdr L)))
(cons (car L) nil)
(qsort (list>= (car L) (cdr L)))))))
(defun list< (a b)
(cond
(( or(null a)(null b) nil))
(( < a (car b)) (list< a (cdr b)))
(t(cons (car b) (list< a (cdr b))))))
(defun list>= (a b)
(cond
(( or( null a)(null b) nil))
(( >= a (car b)) (list> a (cdr b)))
(t(cons (car b) (list> a (cdr b))))))
My problem being when list< and list>= finish the list always ends with a .T. For instance:
> (list< '4 '(1 5 3 8 2))
Entering: LIST<, Argument list: (4 (1 5 3 8 2))
Entering: LIST<, Argument list: (4 (5 3 8 2))
Entering: LIST<, Argument list: (4 (3 8 2))
Entering: LIST<, Argument list: (4 (8 2))
Entering: LIST<, Argument list: (4 (2))
Entering: LIST<, Argument list: (4 NIL)
Exiting: LIST<, Value: T
Exiting: LIST<, Value: (2 . T)
Exiting: LIST<, Value: (2 . T)
Exiting: LIST<, Value: (3 2 . T)
Exiting: LIST<, Value: (3 2 . T)
Exiting: LIST<, Value: (1 3 2 . T)
(1 3 2 . T)
Why is (4 NIL) evaluating as T?
Your problem with list<, and also with list>=, lies on ((or ( null a)(null b) nil)), it should be (( or( null a)(null b)) nil). Note nil was moved outside of the condition to be the returned value.
Furthermore, on the definition of list>= you are calling list>, but I'm positive you meant list>= instead.
I would also suggest some indentation to address the legibility of lisp, like follows
(defun qsort (L)
(cond
((null L) nil)
(t
(append
(qsort (list< (car L) (cdr L)))
(cons (car L) nil)
(qsort (list>= (car L) (cdr L)))))))
(defun list< (a b)
(cond
((or (null a) (null b)) nil)
((< a (car b)) (list< a (cdr b)))
(t (cons (car b) (list< a (cdr b))))))
(defun list>= (a b)
(cond
((or (null a) (null b)) nil)
((>= a (car b)) (list>= a (cdr b)))
(t (cons (car b) (list>= a (cdr b))))))
Some testing follows:
(list< '4 '(1 5 3 8 2))
=> (1 3 2)
(list>= '4 '(1 5 3 8 2))
=> (5 8)
(qsort '(1 5 3 8 2))
=> (1 2 3 5 8)
Lisp has different kinds of collections. I think sort a list using quick-sort is not a good choice. In the implementation of STL in C++, the sorting method of list is merge-sort. I have tried to implement a 3-way quick-sort using the collections of array.
(defun quick-sort (arr start end)
"Quick sort body"
(if (< start end)
(let ((n-pair (partition arr start end)))
(quick-sort arr start (car n-pair))
(quick-sort arr (cdr n-pair) end))
))
(defun partition (arr start end)
"Partition according to pivot."
(let ((pivot (aref arr start)) (cur start))
(loop while (<= start end) do
(cond
((< pivot (aref arr start)) ; pivot < arr[start], swap with arr[end]
(swap arr start end) (decf end))
((> pivot (aref arr start)) ; pivot > arr[start], swap with arr[start]
(swap arr cur start) (incf cur) (incf start))
(t ; otherwise
(incf start))))
(cons (decf cur) start)))
(defun swap (arr i j)
"Swap element of arr"
(let ((tmp (aref arr i)))
(setf (aref arr i) (aref arr j))
(setf (aref arr j) tmp)))
(defun quick (list)
(when (< = (length list) 1) (return-from quick list))
(let ((pivot (car list)) (rest (cdr list)) (less nil) (greater nil))
(loop for i in rest do
(if (< i pivot) (push i less) (push i greater)))
(append (quick less) (list pivot) (quick greater))))
I'd recommend to change the code of liya babu/Will Ness like this:
(defun quick (list)
(if (null list) nil
(let ((pivot (first list)) (less nil) (greater nil))
(dolist (i (rest list))
(if (< i pivot) (push i less) (push i greater)))
(append (quick less) (list pivot) (quick greater)))))
Although just slightly edited I find it both more lispy and more succinct.
There are some errors in the program. The corrected program is:
(defun qsort (L)
(cond
((null L) nil)
(t (append
(qsort (list< (car L) (cdr L)))
(cons (car L) nil)
(qsort (list>= (car L) (cdr L)))))))
(defun list< (a b)
(cond
(( or (null a) (null b)) nil)
(( < a (car b)) (list< a (cdr b)))
(t (cons (car b) (list< a (cdr b))))))
(defun list>= (a b)
(cond
(( or ( null a)(null b)) nil)
(( >= a (car b)) (list>= a (cdr b)))
(t (cons (car b) (list>= a (cdr b))))))
This should also work:
(defun qsort (l)
(cond
((null l) nil)
(t (append
(qsort (car(list<> (car l)(cdr l))))
(cons (car l) nil)
(qsort (cadr(list<> (car l)(cdr l))))))))
(defun list<> (a b &optional rl rr)
(cond
((null b) (list rl rr))
((<=(car b)a) (list<> a (cdr b) (cons (car b) rl) rr))
(t (list<> a (cdr b)rl (cons (car b) rr)))))
(setq l (loop for j from 1 to 20 append (list(random 100))))
(qsort l)
;=> (86 99 9 31 66 58 57 43 48 21 51 0 32 69 39 47 59 76 69 23)
;=> (0 9 21 23 31 32 39 43 47 48 51 57 58 59 66 69 69 76 86 99)

Setting up a equal function in common lisp using only "eq"

I've given the assingment to write a function in common lisp to compare two lists to see if they are equal and I have been bared from using the "equal" predicate I can only use "eq" and I seem to come to a wall. I get this error with my code EVAL: variable SETF has no value
The following restarts are available:
and he code:
(defun check(L1 L2)
(cond
((eq L nil) nil)
(setq x (first L1))
(setq y (first L2))
(setf L1 (rest L1))
(setf L2 (rest L2))
(if (eq x y) (check L1 L2))))
(defun b(L1 L2)
(cond
((eq L1 nil) nil)
(setf x (first L1))
(setf y (first L2))
(setf L1 (rest L1))
(setf L2 (rest L2))
(if (and (list x) (list y)
(check(x y))
(if (eq x y) (b(L1 L2))))))
I guess this is what you are looking for:
(defun compare-lists (list1 list2)
(if (and (not (null list1))
(not (null list2)))
(let ((a (car list1)) (b (car list2)))
(cond ((and (listp a) (listp b))
(and (compare-lists a b)
(compare-lists (cdr list1) (cdr list2))))
(t
(and (eq a b)
(compare-lists (cdr list1) (cdr list2))))))
(= (length list1) (length list2))))
Tests:
? (compare-lists '(1 2 3) '(1 2 3))
T
? (compare-lists '(1 2 3) '(1 2 3 4))
NIL
? (compare-lists '(1 2 3) '(1 2 (3)))
NIL
? (compare-lists '(1 2 (3)) '(1 2 (3)))
T
? (compare-lists '(1 2 (a b c r)) '(1 2 (a b c (r))))
NIL
? (compare-lists '(1 2 (a b c (r))) '(1 2 (a b c (r))))
T