Common lisp: loop through pairs of a list - lisp

I have a list who's length is divisible by two, and I'm looking for something similar to the answer to this question:
(loop for (a b) on lst while b
collect (+ a b))
However there is overlap between elements:
(1 2 3 4 5) -> (3 5 7 9)
adding 1 and 2 and then 2 and 3 etc.
Where as I have a list like (1 2 3 4) and am looking for something like
((1 2) (3 4))
as output. Is there a way to make loop step correctly over the list?
Another solution.

Something like this should work:
(let ((list '(1 2 3 4)))
(loop :for (a b) :on list :by #'cddr :while b
:collect (cons a b)))
Also a more verbose variant:
(let ((list '(1 2 3 4)))
(loop :for a :in list :by #'cddr
:for b :in (cdr list) :by #'cddr
:collect (cons a b)))

Another approach using the SERIES package.
See also the user manual from Richard C. Waters.
Setup
(ql:quickload :series)
(defpackage :stackoverflow (:use :series :cl))
(in-package :stackoverflow)
Code
(defun pairs (list)
(collect 'list
(mapping (((odd even) (chunk 2 2 (scan 'list list))))
(list odd even))))
scan the content of list as a "serie"
chunk it with M=2 and N=2:
This function has the effect of breaking up the input series items
into (possibly overlapping) chunks of length m. The starting positions
of successive chunks differ by n. The inputs m and n must both be
positive integers.
More precisely, (chunk 2 2 (scan '(1 2 3 4))) produces #Z(1 3) and #Z(2 4)
mapping in parallel over each odd and even element of those series, produce a series of couples, as done by (list odd even).
finally, collect the result, as a list.
Compilation
All the intermediate "series" are compiled away thanks to a stream-fusion mechanism. Here is the macro expansion when pointing at collect:
(LET* ((#:OUT-1120 LIST))
(LET (#:ELEMENTS-1117
(#:LISTPTR-1118 #:OUT-1120)
(#:COUNT-1113 0)
#:CHUNK-1114
#:CHUNK-1115
#:ITEMS-1123
(#:LASTCONS-1106 (LIST NIL))
#:LST-1107)
(DECLARE (TYPE LIST #:LISTPTR-1118)
(TYPE FIXNUM #:COUNT-1113)
(TYPE CONS #:LASTCONS-1106)
(TYPE LIST #:LST-1107))
(SETQ #:COUNT-1113 1)
(SETQ #:LST-1107 #:LASTCONS-1106)
(TAGBODY
#:LL-1124
(IF (ENDP #:LISTPTR-1118)
(GO SERIES::END))
(SETQ #:ELEMENTS-1117 (CAR #:LISTPTR-1118))
(SETQ #:LISTPTR-1118 (CDR #:LISTPTR-1118))
(SETQ #:CHUNK-1114 #:CHUNK-1115)
(SETQ #:CHUNK-1115 #:ELEMENTS-1117)
(COND ((PLUSP #:COUNT-1113) (DECF #:COUNT-1113) (GO #:LL-1124))
(T (SETQ #:COUNT-1113 1)))
(SETQ #:ITEMS-1123
((LAMBDA (ODD EVEN) (LIST ODD EVEN)) #:CHUNK-1114 #:CHUNK-1115))
(SETQ #:LASTCONS-1106
(SETF (CDR #:LASTCONS-1106) (CONS #:ITEMS-1123 NIL)))
(GO #:LL-1124)
SERIES::END)
(CDR #:LST-1107)))

CL-USER 156 > (loop with list = '(1 2 3 4)
while list
collect (loop repeat 2
while list
collect (pop list)))
((1 2) (3 4))
or
CL-USER 166 > (loop with list = '(1 2 3 4 5 6)
while (and list (cdr list))
collect (loop repeat 2 collect (pop list)))
((1 2) (3 4) (5 6))
CL-USER 167 > (loop with list = '(1 2 3 4 5 6 7)
while (and list (cdr list))
collect (loop repeat 2 collect (pop list)))
((1 2) (3 4) (5 6))

Related

Lisp nested list iteration

I just started to learn Common Lisp and this is my first functional programming language.
I am trying to learn about iterating through lists. I wrote these two functions:
(defun reverseList (liste)
(defvar reversedList(list))
(loop for i downfrom (-(length liste)1) to 0 do
(setf reversedList (append reversedList (list(nth i liste)))))
reversedList ;return
)
(defun countAppearance(liste element)
(defvar count 0)
(loop for i from 0 to (-(length liste) 1)do
(if (= (nth i liste) element)
(setf count (+ count 1))))
count
)
Both work fine for a regular list(ex: (1 3 5 7 3 9) but I want them to work for nested lists too.
Examples:
countAppearance - Input: (1 (3 5) (3 7 8) 2) 3 -> Expected output:2
reverseList - Input: (1 (2 3)) -> Expected output: ((3 2) 1)
Before I will show you solutions for nested lists, some notes about your code:
There is already function reverse for non-nested lists, so you don't have to reinvent the wheel.
=> (reverse (list 1 2 3 4 5))
(5 4 3 2 1)
If you need some local variables, use let or let*.
Lisp uses kebab-case, not camelCase, so rename reverseList as reverse-list and so on.
For (setf ... (+ ... 1)), use incf.
For iterating over list, use dolist.
Function count-occurrences can be written using recursion:
(defun count-occurrences (lst elem)
(cond ((null lst) 0)
((= (car lst) elem) (+ 1 (count-occurrences (cdr lst) elem)))
(t (count-occurrences (cdr lst) elem))))
CL-USER 3 > (count-occurrences (list 1 2 3 1 2 3) 2)
2
Or it can be written with let, dolist and incf:
(defun count-occurrences2 (lst elem)
(let ((count 0))
(dolist (e lst)
(when (= e elem) (incf count)))
count))
CL-USER 4 > (count-occurrences2 (list 1 2 3 1 2 3) 2)
2
Solutions for nested lists use recursion:
(defun deep-reverse (o)
(if (listp o)
(reverse (mapcar #'deep-reverse o))
o))
CL-USER 11 > (deep-reverse '(1 (2 3)))
((3 2) 1)
(defun deep-count (lst elem)
(cond ((null lst) 0)
((listp (car lst)) (+ (deep-count (car lst) elem)
(deep-count (cdr lst) elem)))
((= (car lst) elem) (+ 1 (deep-count (cdr lst) elem)))
(t (deep-count (cdr lst) elem))))
CL-USER 12 > (deep-count '(1 (3 5) (3 7 8) 2) 3)
2
Welcome to functional programming.
Firstly, there are some problems with the code that you have provided for us. There are some spaces missing from the code. Spaces are important because they separate one thing from another. The code (xy) is not the same as (x y).
Secondly, there is an important difference between local and global variables. So, in both cases, you want a local variable for reversedList and count. This is the tricky point. Common Lisp doesn't have global or local variables, it has dynamic and lexical variables, which aren't quite the same. For these purposes, we can use lexical variables, introduced with let. The keyword let is used for local variables in many functional languages. Also, defvar may not do what you expect, since it is way of writing a value once, which cannot be overwritten - I suspect that defparameter is what you meant.
Thirdly, looking at the reverse function, loop has its own way of gathering results into a list called collect. This would be a cleaner solution.
(defun my-reverse (lst)
(loop for x from (1- (length lst)) downto 0 collect (nth x lst)))
It can also be done in a tail recursive way.
(defun my-reverse-tail (lst &optional (result '()))
(if lst
(my-reverse-tail (rest lst) (cons (first lst) result))
result))
To get it to work with nested lists, before you collect or cons each value, you need to check if it is a list, using listp. If it is not a list, just add it onto the result. If it is a list, add on instead a call to your reverse function on the item.
Loop also has functionality to count items.

Largest sublist in Common Lisp

I'm trying to get the largest sublist from a list using Common Lisp.
(defun maxlist (list)
(setq maxlen (loop for x in list maximize (list-length x)))
(loop for x in list (when (equalp maxlen (list-length x)) (return-from maxlist x)))
)
The idea is to iterate through the list twice: the first loop gets the size of the largest sublist and the second one retrieves the required list. But for some reason I keep getting an error in the return-from line. What am I missing?
Main problem with loop
There are a few problems here. First, you can write the loop as the following. There are return-from and while forms in Common Lisp, but loop defines its own little language that also recognizes while and return, so you can just use those:
(loop for x in list
when (equalp maxlen (list-length x))
return x)
A loop like this can actually be written more concisely with find though. It's just
(find maxlen list :key list-length :test 'equalp)
Note, however, that list-length should always return a number or nil, so equalp is overkill. You can just use eql, and that's the default for find, so you can even write
(find maxlen list :key list-length)
list-length and maximize
list-length is a lot like length, except that if a list has circular structure, it returns nil, whereas it's an error to call length with an improper list. But if you're using (loop ... maximize ...), you can't have nil values, so the only case that list-length handles that length wouldn't is one that will still give you an error. E.g.,
CL-USER> (loop for x in '(4 3 nil) maximize x)
; Evaluation aborted on #<TYPE-ERROR expected-type: REAL datum: NIL>.
(Actually, length works with other types of sequences too, so list-length would error if you passed a vector, but length wouldn't.) So, if you know that they're all proper lists, you can just
(loop for x in list
maximizing (length x))
If they're not all necessarily proper lists (so that you do need list-length), then you need to guard like:
(loop for x in list
for len = (list-length x)
unless (null len) maximize len)
A more efficient argmax
However, right now you're making two passes over the list, and you're computing the length of each sublist twice. Once is when you compute the maximum length, and the other is when you go to find one with the maximum value. If you do this in one pass, you'll save time. argmax doesn't have an obvious elegant solution, but here are implementations based on reduce, loop, and do*.
(defun argmax (fn list &key (predicate '>) (key 'identity))
(destructuring-bind (first &rest rest) list
(car (reduce (lambda (maxxv x)
(destructuring-bind (maxx . maxv) maxxv
(declare (ignore maxx))
(let ((v (funcall fn (funcall key x))))
(if (funcall predicate v maxv)
(cons x v)
maxxv))))
rest
:initial-value (cons first (funcall fn (funcall key first)))))))
(defun argmax (function list &key (predicate '>) (key 'identity))
(loop
for x in list
for v = (funcall function (funcall key x))
for maxx = x then maxx
for maxv = v then maxv
when (funcall predicate v maxv)
do (setq maxx x
maxv v)
finally (return maxx)))
(defun argmax (function list &key (predicate '>) (key 'identity))
(do* ((x (pop list)
(pop list))
(v (funcall function (funcall key x))
(funcall function (funcall key x)))
(maxx x)
(maxv v))
((endp list) maxx)
(when (funcall predicate v maxv)
(setq maxx x
maxv v))))
They produce the same results:
CL-USER> (argmax 'length '((1 2 3) (4 5) (6 7 8 9)))
(6 7 8 9)
CL-USER> (argmax 'length '((1 2 3) (6 7 8 9) (4 5)))
(6 7 8 9)
CL-USER> (argmax 'length '((6 7 8 9) (1 2 3) (4 5)))
(6 7 8 9)
Short variant
CL-USER> (defparameter *test* '((1 2 3) (4 5) (6 7 8 9)))
*TEST*
CL-USER> (car (sort *test* '> :key #'length))
(6 7 8 9)
Paul Graham's most
Please, consider also Paul Graham's most function:
(defun most (fn lst)
(if (null lst)
(values nil nil)
(let* ((wins (car lst))
(max (funcall fn wins)))
(dolist (obj (cdr lst))
(let ((score (funcall fn obj)))
(when (> score max)
(setq wins obj
max score))))
(values wins max))))
This is the result of test (it also returns value that's returned by supplied function for the 'best' element):
CL-USER> (most #'length *test*)
(6 7 8 9)
4
extreme utility
After a while I came up with idea of extreme utility, partly based on Paul Graham's functions. It's efficient and pretty universal:
(declaim (inline use-key))
(defun use-key (key arg)
(if key (funcall key arg) arg))
(defun extreme (fn lst &key key)
(let* ((win (car lst))
(rec (use-key key win)))
(dolist (obj (cdr lst))
(let ((test (use-key key obj)))
(when (funcall fn test rec)
(setq win obj rec test))))
(values win rec)))
It takes comparison predicate fn, list of elements and (optionally) key parameter. Object with the extreme value of specified quality can be easily found:
CL-USER> (extreme #'> '(4 9 2 1 5 6))
9
9
CL-USER> (extreme #'< '(4 9 2 1 5 6))
1
1
CL-USER> (extreme #'> '((1 2 3) (4 5) (6 7 8 9)) :key #'length)
(6 7 8 9)
4
CL-USER> (extreme #'> '((1 2 3) (4 5) (6 7 8 9)) :key #'cadr)
(6 7 8 9)
7
Note that this thing is called extremum in alexandria. It can work with sequences too.
Using recursion:
(defun maxim-list (l)
(flet ((max-list (a b) (if (> (length a) (length b)) a b)))
(if (null l)
nil
(max-list (car l) (maxim-list (cdr l))))))
The max-list internal function gets the longest of two list. maxim-list is getting the longest of the first list and the maxim-list of the rest.

Idiomatic way to group a sorted list of integers?

I have a sorted list of integers, (1 2 4 5 6 6 7 8 10 10 10). I want to group them all, so that I get ((1) (2) (4) (5) (6 6) (7) (8) (10 10 10)).
So far I have this, which works:
(let ((current-group (list)) (groups (list)))
(dolist (n *sorted*)
(when (and (not (null current-group)) (not (eql (first current-group) n)))
(push current-group groups)
(setf current-group (list)))
(push n current-group))
(push current-group groups)
(nreverse groups))
But I'm sure there must be a much more LISPy way to do this. Any ideas?
Not that bad. I would write it this way:
(defun group (list)
(flet ((take-same (item)
(loop while (and list (eql (first list) item))
collect (pop list))))
(loop while list
collect (take-same (first list)))))
CL-USER 1 > (group '(1 2 4 5 6 6 7 8 10 10 10))
((1) (2) (4) (5) (6 6) (7) (8) (10 10 10))
There's already an accepted answer, but I think it's worth looking at another way of decomposing this problem, although the approach here is essentially the same). First, let's define cut that takes a list and a predicate, and returns the prefix and suffix of the list, where the suffix begins with the first element of the list that satisfies the predicate, and the prefix is everything before that that didn't:
(defun cut (list predicate)
"Returns two values: the prefix of the list
containing elements that do no satisfy predicate,
and the suffix beginning with an element that
satisfies predicate."
(do ((tail list (rest tail))
(prefix '() (list* (first tail) prefix)))
((or (funcall predicate (first tail))
(endp tail))
(values (nreverse prefix) tail))))
(cut '(1 1 1 2 2 3 3 4 5) 'evenp)
;=> (1 1 1) (2 2 3 3 4 5)
(let ((l '(1 1 2 3 4 4 3)))
(cut l (lambda (x) (not (eql x (first l))))))
;=> (1 1), (2 3 4 4 3)
Then, using cut, we can move down the an input list taking prefixes and suffixes with a predicate that's checking whether an element is not eql to the first element of the list. That is, beginning with (1 1 1 2 3 3) you'd cut with the predicate checking for "not eql to 1", to get (1 1 1) and (2 3 3). You'd add the first to the list of groups, and the second becomes the new tail.
(defun group (list)
(do ((group '()) ; group's initial value doesn't get used
(results '() (list* group results))) ; empty, but add a group at each iteration
((endp list) (nreverse results)) ; return (reversed) results when list is gone
(multiple-value-setq (group list) ; update group and list with the prefix
(cut list ; and suffix from cutting list on the
(lambda (x) ; predicate "not eql to (first list)".
(not (eql x (first list))))))))
(group '(1 1 2 3 3 3))
;=> ((1 1) (2) (3 3 3))
On implementing cut
I tried to make that cut relatively efficient, insofar as it only makes one pass through the list. Since member returns the entire tail of the list that begins with the found element, you can actually use member with :test-not to get the tail that you want:
(let ((list '(1 1 1 2 2 3)))
(member (first list) list :test-not 'eql))
;=> (2 2 3)
Then, you can use ldiff to return the prefix that comes before that tail:
(let* ((list '(1 1 1 2 2 3))
(tail (member (first list) list :test-not 'eql)))
(ldiff list tail))
;=> (1 1 1)
It's a simple matter, then, to combine the approaches and to return the tail and the prefix as multiples values. This gives a version of cut that takes only the list as an argument, and might be easier to understand (but it's a bit less efficient).
(defun cut (list)
(let ((tail (member (first list) list :test-not 'eql)))
(values (ldiff list tail) tail)))
(cut '(1 1 2 2 2 3 3 3))
;=> (1 1), (2 2 2 3 3)
I like to use reduce:
(defun group (lst)
(nreverse
(reduce (lambda (r e) (if (and (not (null r)) (eql e (caar r)))
(cons (cons e (car r)) (cdr r))
(cons (list e) r)))
lst
:initial-value nil)))
or using push:
(defun group (lst)
(nreverse
(reduce (lambda (r e)
(cond
((and (not (null r)) (eql e (caar r))) (push e (car r)) r)
(t (push (list e) r))))
lst
:initial-value nil)))

Is there a common lisp macro for popping the nth element from a list?

I'm pretty fresh to the Common Lisp scene and I can't seem to find an quick way to get the nth element from a list and remove it from said list at the same time. I've done it, but it ain't pretty, what I'd really like is something like "pop" but took a second parameter:
(setf x '(a b c d))
(setf y (popnth 2 x))
; x is '(a b d)
; y is 'c
I'm pretty sure that "popnth" would have to be a macro, in case the parameter was 0 and it had to behave like "pop".
EDIT: Here's my crap first version:
(defmacro popnth (n lst)
(let ((tempvar (gensym)))
`(if (eql ,n 0)
(pop ,lst)
(let ((,tempvar (nth ,n ,lst)))
(setf (cdr (nthcdr ,(- n 1) ,lst)) (nthcdr ,(+ n 1) ,lst))
,tempvar))))
Something like this:
Removing the nth element of a list:
(defun remove-nth (list n)
(remove-if (constantly t) list :start n :end (1+ n)))
constantly returns a function, that always returns its argument.
As a macro that accepts a place, using define-modify-macro:
(define-modify-macro remove-nth-f (n) remove-nth "Remove the nth element")
POP-NTH
(defmacro pop-nth (list n)
(let ((n-var (gensym)))
`(let ((,n-var ,n))
(prog1 (nth ,n-var ,list)
(remove-nth-f ,list ,n-var)))))
Example:
CL-USER 26 > (defparameter *list* (list 1 2 3 4))
*LIST*
CL-USER 27 > (pop-nth *list* 0)
1
CL-USER 28 > *list*
(2 3 4)
CL-USER 29 > (pop-nth *list* 2)
4
CL-USER 30 > *list*
(2 3)
Yes, Lisp has a macro for popping the N-th element of a list: it is called pop.
$ clisp -q
[1]> (defvar list (list 0 1 2 3 4 5))
LIST
[2]> (pop (cdddr list))
3
[3]> list
(0 1 2 4 5)
[4]>
pop works with any form that denotes a place.
The problem is that, unlike cddr, nthcdr isn't an accessor; a form like (nthcdr 3 list) does not denote a place; it works only as a function call.
Writing a specialized form of pop is not the best answer; rather, we can achieve a more general fix by writing a clone of nthcdr which behaves like a place accessor. Then the pop macro will work, and so will every other macro that works with places like setf and rotatef.
;; our clone of nthcdr called cdnth
(defun cdnth (idx list)
(nthcdr idx list))
;; support for (cdnth <idx> <list>) as an assignable place
(define-setf-expander cdnth (idx list &environment env)
(multiple-value-bind (dummies vals newval setter getter)
(get-setf-expansion list env)
(let ((store (gensym))
(idx-temp (gensym)))
(values dummies
vals
`(,store)
`(let ((,idx-temp ,idx))
(progn
(if (zerop ,idx-temp)
(progn (setf ,getter ,store))
(progn (rplacd (nthcdr (1- ,idx-temp) ,getter) ,store)))
,store))
`(nthcdr ,idx ,getter)))))
Test:
$ clisp -q -i cdnth.lisp
;; Loading file cdnth.lisp ...
;; Loaded file cdnth.lisp
[1]> (defvar list (list 0 1 2 3 4 5))
LIST
[2]> (pop (cdnth 2 list))
2
[3]> list
(0 1 3 4 5)
[4]> (pop (cdnth 0 list))
0
[5]> list
(1 3 4 5)
[6]> (pop (cdnth 3 list))
5
[7]> list
(1 3 4)
[8]> (pop (cdnth 1 list))
3
[9]> list
(1 4)
[10]> (pop (cdnth 1 list))
4
[11]> list
(1)
[12]> (pop (cdnth 0 list))
1
[13]> list
NIL
[14]>
A possible improvement to the implementation is to analyze the idx form and optimize away the generated code that implements the run-time check on the value of idx. That is to say, if idx is a constant expression, there is no need to emit the code which tests whether idx is zero. The appropriate code variant can just be emitted. Not only that, but for small values of idx, the code can emit special variants based on the "cadavers": cddr, cdddr, rather than the general nthcdr. However, some of these optimizations might be done by the Lisp compiler and thus redundant.
I came up with a solution that is a little more efficient than my first attempt:
(defmacro popnth (n lst)
(let ((t1 (gensym))(t2 (gensym)))
`(if (eql ,n 0)
(pop ,lst)
(let* ((,t1 (nthcdr (- ,n 1) ,lst))
(,t2 (car (cdr ,t1))))
(setf (cdr ,t1) (cddr ,t1))
,t2))))
Here is it in action:
[2]> (defparameter *list* '(a b c d e f g))
*LIST*
[3]> (popnth 3 *list*)
D
[4]> *list*
(A B C E F G)
[5]> (popnth 0 *list*)
A
[6]> *list*
(B C E F G)
I have same suspicion as #6502...If I remember right...Neither push nor pop can be defined as modify-macros, the former because the place is not its first argument, and the latter because its return value is not the modified object.
Definition of define-modify-macro
An expression of the form (define-modify-macro m (p1 ... pn) f) defines a new macro m, such that a call of the form (m place a1 ... an) will cause place to be set to (f val a1 ... an), where val represents the value of place. The parameters may also include rest and optional parameters. The string, if present, becomes the documentation of the new macro.
I have this popnth works just fine:
(defun nthpop (index lst)
(pop (nthcdr (1- index) lst)))
> *list*
(1 2 3 4 5)
> (nthpop 2 *list*)
2
> *list*
(1 3 4 5)

Name of this function in built-in Emacs Lisp library?

The following Emacs Lisp function takes a list of lists and returns a list in which the items of the inner lists have been concatenated to one big list. It is pretty straight-forward and I am convinced something like this must already be part of the standard function library.
(defun flatten (LIST)
(if LIST
(append (car LIST) (flatten (cdr LIST)))
nil))
I am looking for a function that will take a single list of lists as its argument and then append all the inner lists.
(flatten '((a b) (c d)))
will give
(a b c d)
Does anyone know whether this function is already built in, and if so, under which name?
Thanks!
You're either looking for append:
(defun flatten (list-of-lists)
(apply #'append list-of-lists))
If (and only if) you know that you'll always have a list of lists.
Otherwise:
(defun flatten (list)
(mapcan (lambda (x) (if (listp x) x nil)) list))
Emacs 27.1 has flatten-tree:
(flatten-tree '((a b) (c d)))
(a b c d)
See: https://www.gnu.org/software/emacs/manual/html_node/elisp/Building-Lists.html
I stepped into this only recently whilst looking for something different; there is something that might not have been put into evidence by the test data utilized to check the function, depending on whether the original question was meant to refer to generic lists (i.e.: list of list of list of list of...) or just to two-level lists (as in the example).
The solution based on append works fine only with two-level lists, and there is a further issue with the solution based on mapcan.
Basically, the general solution has to be recursive both on car and cdr, as in the flatten defun below.
(setq l '((((1 2) 3) 4) (5 6 7)))
(defun flatten(x)
(cond ((null x) nil)
((listp x) (append (flatten (car x)) (flatten (cdr x))))
(t (list x))))
(defun flatten2(l)
(if l (append (car l) (flatten2 (cdr l))) nil))
(defun flatten3(l)
(mapcan (lambda(x) (if (listp x) x nil)) l))
(flatten l)
(1 2 3 4 5 6 7)
(apply #'append l)
(((1 2) 3) 4 5 6 7)
(flatten2 l)
(((1 2) 3) 4 5 6 7)
The further issue is with the usage of mapcan in flatten3: as mapcan hides an nconc inside, the user must remember that it alters its argument.
l
((((1 2) 3) 4) (5 6 7))
(flatten3 l)
(((1 2) 3) 4 5 6 7)
l
((((1 2) 3) 4 5 6 7) (5 6 7))
Dash is a modern list library for Emacs, and has flatten. It's the second most downloaded package on Melpa, after magit. From the readme:
-flatten (l): Takes a nested list l and returns its contents as a single, flat list.
(-flatten '((1))) ;; => '(1)
(-flatten '((1 (2 3) (((4 (5))))))) ;; => '(1 2 3 4 5)
(-flatten '(1 2 (3 . 4))) ;; => '(1 2 (3 . 4))
-flatten-n (num list): Flatten num levels of a nested list.
(-flatten-n 1 '((1 2) ((3 4) ((5 6))))) ;; => '(1 2 (3 4) ((5 6)))
(-flatten-n 2 '((1 2) ((3 4) ((5 6))))) ;; => '(1 2 3 4 (5 6))
(-flatten-n 3 '((1 2) ((3 4) ((5 6))))) ;; => '(1 2 3 4 5 6)
This package was started 2012-09.
I realize that the original question was "what is the built in function". It appears that there is none. The other solutions do not actually flatten all lists that I tested. This function appears to work. I'm posting it here because this was the first place Google hit when I did my search.
(defun flatten (LIST)
"flattens LIST"
(cond
((atom LIST) (list LIST))
((null (cdr LIST)) (flatten (car LIST)))
(t (append (flatten (car LIST)) (flatten (cdr LIST))))))
e.g.
(flatten (list "a" (list "b" "c" nil) (list (list "d" "e") "f")))
("a" "b" "c" nil "d" "e" "f")
Have a look at nconc