detecting a palindrome without using reverse - string

I was thinking a way to create a function that detects a palindrome without using reverse...
I thought I would be clever and do a condition where substring 0 to middle equals substring end to middle. I;ve found out that it only works on words with 3 letters "wow" because "w" = "w". But if the letters are like "wooow", wo doesn't equal ow. What is a way to detect palindrome without using a reverse function?
Hint or solutions might be very helpful
(define (palindrome? str)
(cond
((equal? (substring str 0 (- (/ (string-length str) 2) 0.5))
(substring str (+ (/ (string-length str) 2) 0.5) (string-length str))) str)
(else false)))
Oh and I'm using beginner language so I can't use stuff like map or filter
yes I know this is a very useless function haha

It's possible to solve this problem by messing around with the string's characters in a given index. The trick is to use string-ref wisely. Here, let me give you some hints pointing to a solution that will work with the beginner's language :
; this is the main procedure
(define (palindrome? s)
; it uses `loop` as a helper
(loop <???> <???> <???>))
; loop receives as parameters:
; `s` : the string
; `i` : the current index, starting at 0
; `n` : the string's length
(define (loop s i n)
(cond (<???> ; if `i` equals `n`
<???>) ; then `s` is a palindrome
(<???> ; if the char at the current index != its opposite (*)
<???>) ; then `s` is NOT a palindrome
(else ; otherwise
(loop <???> <???> <???>)))) ; advance the recursion over `i`
Of course, the interesting part is the one marked with (*). Think of it, a string is a palindrome if the char at the 0 index equals the char at the n-1 index (n being the string's length) and the char at the 1 index equals the char at the n-2 index, and so on. In general, if it's true that the char at the i index equals the char at the n-i-1 index (its "opposite") for all i, then we can conclude that the string is a palindrome - but if a single pair of opposite chars is not equal to each other, then it's not a palindrome.
As a further optimization, notice that you don't need to traverse the whole string, it's enough to test the characters up to the half of the string's length (this is explained in Chris' answer) - intuitively, you can see that if the char at i equals the char at n-i-1, then it follows that the char at n-i-1 equals the char at i, so there's no need to perform the same test two times.
Try to write the procedures on your own, and don't forget to test them:
(palindrome? "")
=> #t
(palindrome? "x")
=> #t
(palindrome? "axa")
=> #t
(palindrome? "axxa")
=> #t
(palindrome? "axc")
=> #f
(palindrome? "axca")
=> #f
(palindrome? "acxa")
=> #f
(palindrome? "axcta")
=> #f

Here is a creative answer
(define (palindrome list)
(let halving ((last list) (fast list) (half '()))
(cond ((null? fast) (equal? half last))
((null? (cdr fast)) (equal? half (cdr last)))
(else (halving (cdr last) (cddr fast)
(cons (car last) half))))))
It travels halfway down the list (using fast to find the end), builds up a list of the first half and then simply uses equal? on half with the remainder of list.

Simple.
For each i, from 0 to floor(length / 2), compare the character at index i and at index length - i - 1.
If mismatch, return false.
Otherwise, if the loop runs out, return true.
Skeletal code:
(define (palindrome? str)
(define len (string-length str))
(define halfway <???>)
(let loop ((i 0))
(cond ((>= i halfway) #t)
((char=? <???> <???>)
(loop (+ i 1)))
(else #f))))

Related

How do I find the number of characters in a string using scheme programming language?

I used string-length to get the number of characters but I am having difficulties in defining a recursive function. Should I convert the string to a list and then count the elements?
There's no useful way of doing this recursively (or even tail recursively): strings in Scheme are objects which know how long they are. There would be such an approach in a language like C where strings don't know how long they are but are delimited by some special marker. So for instance if (special-marker? s i) told you whether the i'th element of s was the special marker object, then you could write a function to know how long the string was:
(define (silly-string-length s)
(let silly-string-length-loop ([i 1])
(if (special-marker? s i)
(- i 1)
(silly-string-length-loop (+ i 1)))))
But now think about how you would implement special-marker? in Scheme: in particular here's the obvious implementation:
(define (special-marker? s i)
(= i (+ (string-length s) 1)))
And you can see that silly-string-length is now just a terrible version of string-length.
Well, if you wanted to make it look even more terrible, you could, as you suggest, convert a string to a list and then compute the length of the lists. Lists are delimited by a special marker object, () so this approach is reasonable:
(define (length-of-list l)
(let length-of-list-loop ([i 0]
[lt l])
(if (null? lt)
i
(length-of-list-loop (+ i 1) (rest lt)))))
So you could write
(define (superficially-less-silly-string-length s)
(length-of-list
(turn-string-into-list s)))
But, wait, how do you write turn-string-into-list? Well, something like this perhaps:
(define (turn-string-into-list s)
(let ([l (string-length s)])
(let loop ([i 0]
[r '()])
(if (= i l)
(reverse r)
(loop (+ i 1)
(cons (string-ref s i) r))))))
And this ... uses string-length.
What is the problem with?
(string-length string)
If the question is a puzzle "count characters in a string without using string-length",
then maybe:
(define (my-string-length s)
(define (my-string-length t n)
(if (string=? s t) n
(my-string-length
(string-append t (string (string-ref s n))) (+ n 1))))
(my-string-length "" 0))
or:
(define (my-string-length s)
(define (my-string-length n)
(define (try thunk)
(call/cc (lambda (k)
(with-exception-handler (lambda (x)
(k n))
thunk))))
(try (lambda ()
(string-ref s n)
(my-string-length (+ n 1)))))
(my-string-length 0))
(but of course string-ref will be using the base string-length or equivalent)

How to modify string by index in Clojure?

I want to modify a string by applying a function to some of its chars (by starting index and length).
For example, I want to increment the ascii representation of the string "aaaaa" from the 2nd index to the 4th.
[start=1 length=3]
"aaaaa" => "abbba"
The only way I could think of is applying map, but it goes over all the sequence.
You could use subs to get the portions you do and don't want to modify. After modification use str to concatenate the result together:
(defn replace-in-str [f in from len]
(let [before (subs in 0 from)
after (subs in (+ from len))
being-replaced (subs in from (+ from len))
replaced (f being-replaced)]
(str before replaced after)))
You can call it:
(replace-in-str
(fn [sub-str] (apply str (map #(char (+ 1 (int %))) sub-str)))
"aaaaa"
1
3)
Indeed map applies the function to every element in the sequence. One way to get around that is to start with map-indexed. Unlike map, map-indexed passes the element's index as the first argument to the mapping function. When we have element's index, we can use it to choose if we need to perform the operation or just return the element as is.
A solution might look like this:
(defn inc-char [c]
(char (inc (long c))))
(defn if-in-range [from to f]
(fn [i x & args]
(if (<= from i (dec to))
(apply f x args)
x)))
(defn map-subs [from to f s]
(apply str (map-indexed (if-in-range from to f) s)))
(map-subs 1 4 inc-char "aaaaa")
;; "abbba"
I thought of using map-index to execute the operation only on the specified index:
((fn [op start length] (map-indexed (fn [i m] (if (<= start i length)
(op m)
m)) "aaaaa"))
#(char (+ 1 (int %)))
1
3)
=> (\a \b \b \b \a)
Here you go:
(defn replace-str
[s start-i end-i]
(apply str (map-indexed (fn [index val]
(if (and (>= index start-i)
(<= index end-i))
(char (+ (int val) 1))
val))
s)))
(replace-str "aaaa" 1 2)
;=> "abba"

Scheme: How to find a position of a char in a string

I am trying to find the index of a string where it is equal to a certain character, but I can seem to figure it out.
This is what I got so far, but its not working...
(define getPos
(lambda ()
(define s (apply string-append myList))
(getPosition pos (string->list s))))
(define getPosition
(lambda (position s)
(if (and (< position (length s)) (equal? (car s) #\space))
((set! pos (+ pos 1)) (getPosition (cdr s) pos));increment the positon and continue the loop
pos)));else
(define length
(lambda (s);the value s must be coverted to a string->list when passed in
(cond
((null? s) 0)
(else (+ 1 (length (cdr s)))))))
The solution is simple: we have to test each char in the list until either we run out of elements or we find the first occurrence of the char, keeping track of which position we're in.
Your proposed solution looks weird, in Scheme we try to avoid set! and other operations that mutate data - the way to go, is by using recursion to traverse the list of chars. Something like this is preferred:
(define (getPosition char-list char pos)
(cond ((null? char-list) #f) ; list was empty
((char=? char (car char-list)) pos) ; we found it!
(else (getPosition (cdr char-list) char (add1 pos))))) ; char was not found
For 0-based indexes use it like this, converting the string to a list of chars and initializing the position in 0:
(getPosition (string->list "abcde") #\e 0)
=> 4
Of course, we can do better by using existing procedures - here's a more idiomatic solution:
(require srfi/1) ; required for using the `list-index` procedure
(define (getPosition string char)
(list-index (curry char=? char)
(string->list string)))
(getPosition "abcde" #\e)
=> 4
A solution with for:
#lang racket
(define (find-char c s)
(for/first ([x s] ; for each character in the string c
[i (in-naturals)] ; counts 0, 1, 2, ...
#:when (char=? c x))
i))
(find-char #\o "hello world")
(find-char #\x "hello world")
Output:
4
#f

Want more Clojure way to brute force string match

I've implementing a brute force string matching algorithm in Clojure. It works as it should, but what I'm looking for is how to make this code "cleaner," and more readable. Note that I also have to have the algorithm print out how it's doing the character comparisons. I don't know about all the conventions to pay attention to, and I'd really like some tips on how to write Clojure better.
What it does: It takes a piece of text, and for each of it's indexes (since the text is of a type String), match it with the input string. If there's a match, we compare the second character to the next index of the text. It's a lot to explain in English, but if you run the program, it prints out what it's doing.
The code:
(defn underscores [n]
(apply str (repeat n "_")))
(defn brute_force_string_match
"Receives text as string type as its first argument,
string in second argument, brute force matches the
string to the text. Assumes text is longer than string."
[text
string]
;; for loop
;; i is 1 less than the amount of No matches you will get
(loop [i 0
j_and_matches [0 0]]
;;outer loop stops when i > n -m
(if (and
(<= i (- (count text) (count string)))
(not= (j_and_matches 0) (count string)))
;; the "while loop"
(do
(println "")
(print "\nPos = " i "\n"text"\n"
(str (underscores i) string))
(recur
(inc i)
(loop [j 0
print_pos i
undscore_amt 0
matches (j_and_matches 1)]
(if (and
(< j (count string))
(= (.charAt string j) (.charAt text (+ i j))))
(do
(print "\n" (str (str (underscores print_pos)) "^ Match! "))
(recur (inc j)
(inc print_pos)
(inc undscore_amt)
(inc matches)))
(do
(if (not= j (count string))
(print "\n" (str (str (underscores print_pos)) "^ No Match ")))
[j matches])))))
(if (= (j_and_matches 0) (count string))
(do (println "\n Pattern found at position " (dec i))
(println "The number of comparisons: " (+ (j_and_matches 1) (dec i)))
(dec i))
-1))))
For one thing, j has no place in your outer loop, which has i go through the possible start points for a match. j is the local index into string while testing it against the text starting from i.
I'd write it something like this:
(defn brute_force_string_match [text string]
(let [last-start (- (count text) (count string))]
(loop [i 0, matches []]
(if (> i last-start)
matches
(let [match?
(loop [j 0]
(or (= j (count string))
(and (= (.charAt string j) (.charAt text (+ i j)))
(recur (inc j)))))]
(recur (inc i) (if match? (conj matches i) matches)))))))
Apart from the superfluous j in your outer loop, I don't know that yours is significantly different from this.
As a matter of style,
I've bound the complex inner loop expression to local match?. This keeps the final
line clear.
I've used and and or to simplify the conditionals in that expression.
I've pushed down the conditional (if match? ... ) into an argument of the
outer recur.
Note
You can use get instead of .charAt to access characters of strings.

LISP - Modify String

I have to write a program that changes a string's vowels, consonants and other symbols into C, V respectively 0. I've done this but I wonder if there is a more efficient and elegant way to do it. Would appreciate input.
(defun string-to-list (string)
(loop for char across string collect char))
(defun is-vowel (char) (find char "aeiou" :test #'char-equal))
(defun is-consonant (char) (find char "bcdfghjklmnpqrstvwxyz" :test #'char-equal))
(defun letter-type (char)
(if (is-vowel char) "V"
(if (is-consonant char) "C"
"0")))
(defun analyze-word (word-string)
(loop for char across word-string collect (letter-type char)))
Moreover, I would like to make it a string, how could I do that? Should I define a function that would iterate through the list and make it a string or is it an easier way to do it?
(defun letter-type (char)
(cond ((find char "aeiou" :test #'char-equal) #\V)
((alpha-char-p char) #\C)
(t #\0)))
CL-USER> (map 'string #'letter-type "analyze-word")
"VCVCCCV0CVCC"
Just for the sake of the idea:
(defun multi-replace-if (sequence function &rest more-functions)
(map (type-of sequence)
(lambda (x)
(loop for f in (cons function more-functions)
for result = (funcall f x)
while (eql x result)
finally (return result)))
sequence))
(multi-replace-if "bcdfghjklmnpqrstvwxyz"
(lambda (x) (if (find x "aeiouy") #\v x))
(lambda (y) (declare (ignore y)) #\c))
"cccccccccccccccccccvc"

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