I've set up a procedure in scheme that will analyze a list and return the middle index when the list is odd, and the average of the middle 2 values when the list is even. Here's what I have (these ones run perfectly fine by themselves):
(define (median-index-odd lst)
(define (median-index-iter1 lst times_carred)
(if (null? lst)
'()
(if (= times_carred (/ (+ (length lst) 1) 2))
(list (car lst))
(median-index-iter1 (cdr lst) (+ 1 times_carred)))))
(median-index-iter1 lst 0))
(define (median-index-even lst)
(define (median-index-iter2 lst times_carred)
(if (null? lst)
'()
(if (= times_carred (/ (length lst) 2))
(list (/ (+ (car lst) (cadr lst)) 2))
(median-index-iter2 (cdr lst) (+ 1 times_carred)))))
(median-index-iter2 lst 0))
Here's the actual procedure, without all the clutter from those helpers.
(define (median lst)
(if (null? lst)
'()
(if (even? lst)
(median-index-even lst)
(median-index-odd lst))))
However, when I try and run test cases, I get an error:
(display (median '(1 2 2 3 3 3 4 5))) (newline)
The object (1 2 2 3 3 3 4 5), passed as the first argument to integer-remainder, is not the correct type.
EDIT: Okay, yes, I completely overlooked the (even? (length lst)) part. I am currently debugging the helpers right now.
For starters this line is wrong, a list can not be even:
(if (even? lst)
A list's length, however, is a different matter:
(if (even? (length lst))
Also, in both procedures the comparison for determining if the list's mid point has been reached is wrong, you'll have to tweak this line in both helper procedures, because currently is not working:
(if (= times_carred ...
It'll be simpler if you start times_carred in 1 and change the condition to (>= times_carred (/ (length lst) 2)), the same comparison works for both cases.
Related
Here is the question I am trying to solve
Write a function (last-substring-len s n).
It consumes a Str and a Nat, and returns the substring of s with
length n that comes last alphabetically.
Remember to consider if your function Requires anything of its
arguments!
For example:
(last-substring-len "foobar" 4) => "ooba"
(last-substring-len "thequickbrownfoxjumpsoverthelazydogs" 7) => "xjumpso"
I have actually nearly solved my question but I want to be able to instead alter my code so that the if statements for the function get-maximium are replaced with cond statements.
This is my original code:
(define (substrings-w-len s n)
(cond
[(> n (string-length s)) '()]
[ else (cons (substring s 0 n)
(substrings-w-len (substring s 1 (string-length s)) n))]))
(define (get-maximium string-list)
(if(null? string-list) '()
(if(= 1( length string-list)) string-list
(if (equal? #true (string>=? (first string-list) (first (rest string-list))))
(get-maximium (cons (first string-list) (rest (rest string-list))))
(get-maximium (rest string-list))))))
(define (last-substring-w-len s n)
( get-maximium (substrings-w-len s n)))
(check-expect (last-substring-w-len "foobar" 4) "ooba")
This yields (list "ooba") when it should only yield "ooba" so I need to convert the list into a string which I should be able to solve myself but i'd appreciate if someone could help me with this.
The main issue now though is i want to replace the if statements in get-maximum with a conditional statement
This is me altering the get-maximium function to try to replace the if functions with a cond statement but it doesn't work yet.
(define (get-maximium string-list)
(cond
[(null? string-list) '()]
[(= 1( length string-list)) string-list]
[ else (equal? #true (string>=? (first string-list) (first (rest string list))))
(get-maximium (cons (first string-list) (rest (rest string-list))))
(get-maximium (rest string-list))]))
There's an issue with the else part. It should look like this:
(define (get-maximium string-list)
(cond [(null? string-list) '()]
[(= 1 (length string-list)) string-list]
[(string>=? (first string-list) (first (rest string list)))
(get-maximium (cons (first string-list) (rest (rest string-list))))]
[else (get-maximium (rest string-list))]))
Also, there's no need to ask (equal? #t <condition>), simply ask <condition>.
Try to retrieve the first element of the answer like so:
(define (last-substring-w-len s n)
(first ( get-maximium (substrings-w-len s n))))
(last-substring-w-len "foobar" 4) => "ooba"
(last-substring-w-len "thequickbrownfoxjumpsoverthelazydogs" 7) => "xjumpso"
For a thorough explanation see my answer here
I am trying to modify the cdr of the car of an element of a list using set!, but I am getting an error: "set! not an identifier". Can anyone explain to me why this is happening? I am starting to work with objects by the way.
#lang racket
(define (multiset)
(let ((main-list '()))
(define (empty)
(eq? main-list '()))
(define (insert x)
(cond ((empty)
(set! main-list (cons (cons x 1) main-list)))
((= (car (car main-list)) x)
(begin (set! (cdr (car main-list))
(+ 1 (cdr (car main-list))))))
(else (cdr main-list))))
A multiset is represented as a list of pairs. For example, if I had a list '(1 1 1 2 2 2), the multiset representation would be '((1.3)(2.3))
The syntax of set! is
(set! <identifier> <expression>)
which is to say that the first form must be a symbol. In your code you are using:
(cdr (car main-list))
as the 'identifier' - hence the error.
Perhaps your background is CommonLisp and you are expecting set! to behave like setf? In Scheme there are separate functions for setting the 'car' and 'cdr' of a pair. Use set-car! and set-cdr!
> (define pair (cons 'car 'cdr))
> pair
(car . cdr)
> (set-car! pair 'foo)
> pair
(foo . cdr)
> (set-cdr! pair 'bar)
> pair
(foo . bar)
In R6RS (and probably R7RS) set-car! and set-cdr! can be found in the (rnrs mutable-pairs) library
GoZoner has given you the right explanation, but it is perfectly possible (and desirable) do avoid set! procedures. Here's an example of a procedure having the same result:
(define (rle lst)
(define (newpair c l res)
(if (> l 0) (cons (cons c l) res) res))
(let loop ((lst lst) (c #f) (l 0) (res '()))
(if (null? lst)
(reverse (newpair c l res))
(let ((n (car lst)))
(if (equal? c n)
(loop (cdr lst) c (add1 l) res)
(loop (cdr lst) n 1 (newpair c l res)))))))
such as
(rle '(1 1 1 2 2 2))
=> '((1 . 3) (2 . 3))
I am currently working on a homework assignment with MIT scheme, and have come across a few problems that are supposedly very short, though I'm a bit confused as to how to implement some of them.
One problem asks me to write a function that returns a list with all the integers removed. I did manage to solve that,
(define (f2a lst) (map (lambda(x) (remove number? x)) lst))
though I'm confused as to how I can rewrite it to not use remove, but rather use a filter.
*note: (f2a '(("a" 1 "b") (2 "c") (-1 "d") (-2))) returns '(("a" "b") ("c") ("d"))
The other two problems are ones to which I haven't found any solutions.
They ask me to write a function that returns a list with all positive odd and negative even integers removed. For example,
(f2b '(("a" 1 "b") (2 "c") (-1 "d") (-2)))
returns
(("a" "b") (2 "c") (-1 "d"))
I have some code down that is incorrect, but I feel shows how I have tried to approach solving this one:
(define (f2b lst)
(lambda(x)
(cond ((and (positive? x) (odd? x)) (filter x lst))
((and (negative? x) (even? x)) (filter x lst))
(else "this should never print"))))
The last problem simply asks for a function that returns a string consisting of all strings appended together in a list. (f2c '(("a" 1 "b") (2 "c") (-1 "d") (-2))) returns "abcd".
I almost managed to figure this one out, but got stuck when it kept returning strange values. This is the code I have:
(define (f2c lst)
(lambda(x)
(map (lambda (x) (filter string? x)) lst)
(list x))
(string-append (car lst) (cdr lst)))
In terms of higher-order syntax, I'm limited to map, filter, accumulate and sum. I am not asking for a direct answer, but rather some help for me to figure out what I need to do. What am I doing wrong with my code? Any assistance given with this is very much appreciated. Thank you.
The structure of the input and the desired output is identical in the first two problems; the only thing that differs is the predicate on when/when-not to remove an element. For the second case it would be:
(define (f2b lst)
(map (lambda (sublst)
(remove (lambda (x)
(and (number? x)
(or (and (positive? x) (odd? x))
(and (negative? x) (even? x)))))
sublst))
lst))
Since only the predicate differs you can generalize this as:
(define (f2x predicate)
(lambda (lst)
(map (lambda (sublst) (remove predicate sublst)) lst)))
(define f2a (f2x number?))
(define f2b (f2x (lambda (x)
(and (number? x)
(or (and (positive? x) (odd? x))
(and (negative? x) (even? x))))))
For your last problem, you can use the result of the first problem as:
(define (f2c lst)
(apply string-append (apply append (f2a list))))
Also, note that your syntax for f2b and f2a is incorrect. You are using
(define (func arg)
(lambda (x) ...))
which means that (func arg) returns a function which isn't what you want.
I'm just starting with Scheme.
I'm trying to use some procedures from String Library.
Here's what I need:
input: "ccaAaAaAa"
function: generate all strings substituting all possible aAa to aBa, one substitution only
output: "ccaBaAaAa" and "ccaAaBaAa" and "ccaAaAaBa"
Is there any easy way to do that? Maybe a procedure that return a list of index of pattern found?
Apparently the searching function string-contains only returns the first occurrence.
What I thought is: after producing the first string "ccaBaAaAa", trim to the first index of the pattern found: the original "ccaAaAaAa" becomes "AaAaAa". Repeat (recursively).
Thanks.
string-contains won't give you a list of all occurrences of the substring, but it will tell you whether there is one, and if there is, what its index is. It also allows you to restrict the search to a particular range within the string. Based on this, if you get a match, you can recursively search the rest of the string until you no longer get a match.
From there, you can do the substitution for each match.
What is wrong by writing such a function?
(define (replace input)
(let loop ((done '())
(remaining (string->list input))
(output '()))
(if (pair? remaining)
(if (char=? #\a (car remaining))
(let ((remaining (cdr remaining)))
(if (pair? remaining)
(if (char=? #\A (car remaining))
(let ((remaining (cdr remaining)))
(if (pair? remaining)
(if (char=? #\a (car remaining))
(loop (append done (list #\a #\A))
remaining
(cons (list->string
(append done
(cons #\a
(cons #\B
remaining))))
output))
(loop (append done (list #\a #\A
(car remaining)))
(cdr remaining)
(reverse output)))
(reverse output)))
(loop (append done (list #\a (car remaining)))
(cdr remaining)
(reverse output)))
(reverse output)))
(loop (append done (list (car remaining)))
(cdr remaining)
(reverse output)))
(reverse output))))
(replace "ccaAaAaAa") ;=> ("ccaBaAaAa" "ccaAaBaAa" "ccaAaAaBa")
About 15 minutes work.
I thought there could be better string libraries that I didn't know about. But I end up doing what I'd proposed in the question. (For a general input case)
(define (aplicarRegra cadeia cadeiaOriginal regra n)
(let* ((antes (car regra))
(depois (cdr regra))
(index (string-contains cadeia antes))
(tamanho (string-length antes))
(diferenca (- (string-length cadeiaOriginal) (string-length cadeia))))
(if index
(let* ((cadeiaGerada (string-replace cadeiaOriginal depois (+ index diferenca) (+ index diferenca tamanho))))
(if(<= (string-length cadeiaGerada) n)
(lset-union equal? (list cadeiaGerada) (aplicarRegra(substring cadeia (+ 1 index)) cadeiaOriginal regra n))
(aplicarRegra (substring cadeia (+ 1 index)) cadeiaOriginal regra n)))
(list))))
But thanks anyway!
I'm new to Common Lisp. In Haskell, you can do a little something like this:
Prelude> takeWhile (<= 10) [k | k <- [1..]]
[1,2,3,4,5,6,7,8,9,10]
Is this possible in Lisp? Not necessarily with an infinite list, but with any list.
You could use LOOP:
(setq *l1* (loop for x from 1 to 100 collect x))
(loop for x in *l1* while (<= x 10) collect x)
If you really need it as a separate function:
(defun take-while (pred list)
(loop for x in list
while (funcall pred x)
collect x))
And here we are:
T1> (take-while (lambda (x) (<= x 10)) *l1*)
(1 2 3 4 5 6 7 8 9 10)
But if we compare:
(loop for x in *l1* while (<= x 10) collect x)
(take-while (lambda (x) (<= x 10)) *l1*)
I think I would just stick with loop.
For infinite sequences, you could take a look at Series:
T1> (setq *print-length* 20)
20
T1> (setq *l1* (scan-range :from 1))
#Z(1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ...)
T1> (until-if (lambda (x) (> x 10)) *l1*)
#Z(1 2 3 4 5 6 7 8 9 10)
This should do...
(defun take-while (list test)
(and list (funcall test (car list))
(cons (car list) (take-while (cdr list) test))))
(take-while '(1 2 3 4 5 6 7 8 9 10 11 12 13 14 15) (lambda (x) (< x 10)))
--> (1 2 3 4 5 6 7 8 9)
However this "natural" implementation is not tail-recursive and could crash for big lists.
An explicit push-nreverse approach (a common pattern) could be
(defun take-while (list test)
(do ((res nil))
((or (null list) (not (funcall test (car list))))
(nreverse res))
(push (car list) res)
(setf list (cdr list))))
A recursive (but tail-recursive, therefore probably ok with most CL implementations) could IMO be the following:
(defun take-while (list test)
(labels ((rec (res x)
(if (and x (funcall test (car x)))
(rec (cons (car x) res) (cdr x))
(nreverse res))))
(rec nil list)))
Note that however it's not guaranteed that a common lisp implementation will handle tail-call optimizations.
The CL-LAZY library implements lazy calling for Common Lisp and provides a take-while function that is laziness aware. You can install it with Quicklisp and try it out.
Some languages provide a Haskell-style list API as 3rd party libraries, with or without support for infinite streams.
Some examples:
Clojure's sequences: take-while
Scala has something
Remember that takeWhile is relatively easy to implement over a sequence, and is given in Haskell as:
takeWhile _ [] = []
takeWhile p (x:xs)
| p x = x : takeWhile p xs
| otherwise = []
You can have a lazy evaluation in common lisp using closures (from Paul Graham's On Lisp):
(defun lazy-right-fold (comb &optional base)
"Lazy right fold on lists."
(labels ((rec (lst)
(if (null lst)
base
(funcall comb
(car lst)
#'(lambda () (rec (cdr lst)))))))
#'rec))
Then, take-while becomes:
(defun take-while (pred lst)
(lazy-right-fold #'(lambda (x f) (
(if (test x)
(cons x (funcall f))
(funcall f)))
nil))