scheme - equal function with lists - scheme

I wrote this program:
(define find-combination
{lambda (a b)
(if (eq? ((quotient (car a) (car b)) (quotient (car (cdr a)) (car (cdr b)))))
(display "1*v1" + ((quotient (car a) (car b))*"v2"))
(display "0*v1" + "0*v2"))})
(find-combination (list 2 2) (list 2 1))
a and b are two lists. Its give me the next problem: procedure application: expected procedure, given: 1; arguments were: 2.
I didn't get what is the problem. Someone can help me? Thank u.

First of all you have too much brackets after eq? - what you wrote means evaluating (quotient (car a) (car b)) and treating it as a function with argument (quotient (car (cdr a)) (car (cdr b))). The error means that first thing was evaluated to 1 and your interpreter expected it to be a procedure, not an integer. This line should be:
(if (eq? (quotient (car a) (car b)) (quotient (car (cdr a)) (car (cdr b))))
or even:
(if (eq? (quotient (car a) (car b)) (quotient (cadr a) (cadr b)))
Apart from that, lines with display calls are wrong - Scheme doesn't have an infix notation, so + and * are out of place.

First of all you have a set of curly braces in your code(the one before lambda)
Also you have another set of paranthesis around the parameters you passed to eq?
It should be something like this:
(eq? (quotient (car a) (car b)) (quotient (car (cdr a)) (car (cdr b))))

In Scheme and Racket, parentheses change the meaning of things.
1
is a number, but
(1)
is a call to 1 as a function... but 1 is a number, not a function, so this will cause the error you describe.
Your use of curly braces is also a little unsettling to me.

Related

Scheme with postfix

Does anyone can help me to deal with the problem?
I tried for many times, but it still has the error information.
This is my code(scheme)
Thanks!!!
(define (postfix l s)
(cond(
((null? l)(car s))
(else (postfix (cdr l) update-s((car s)))))))
(define (update-s x s)
(cond(((number? x) (cons x s))
(else (cons (eval '(x (car s) (cadr s))) (scheme-report-environment 5) (cdr(cdr s)))))))
And this is the error inform:
else: not allowed as an expression in: (else (postfix (cdr l) update-s ((car s) s)))
Next time, don't forget to add a description of your problem (what should this code do?), expected inputs and outputs, and a version of Scheme you use.
You should also use better names for variables (no l, s, x) and describe their meaning and expected type in your question.
If I understand correctly, you were trying to create a calculator which uses reverse Polish/ postfix notation, where:
l is a list of numbers or symbols
s is a stack with results, represented as a list of numbers
x can be a number or symbol representing some function
From (scheme-report-environment 5) I guess you use r5rs Scheme.
Now some of your errors:
you should define update-s before function postfix
your cond has some additional parentheses
if cond has only two branches, you should use if instead
this part (postfix (cdr l) update-s((car s))) should be (postfix (cdr l) (update-s (car l) s)
(cdr(cdr s)) should be (cddr s)
as for eval, I understand why it's here, you were trying to get a function from the symbol, but you should be always careful, as it can also evaluate code provided by user. Consider this example: (postfix '(1 2 (begin (write "foo") +)) '()). Maybe it could be better to don't expect this input: '(1 2 +), but this: (list 1 2 +) and get rid of eval.
The whole code:
(define (update-s object stack)
(if (number? object)
(cons object stack)
(cons ((eval object (scheme-report-environment 5))
(car stack) (cadr stack))
(cddr stack))))
(define (postfix lst stack)
(if (null? lst)
(car stack)
(postfix (cdr lst)
(update-s (car lst) stack))))
Example:
> (postfix '(1 2 +) '())
3
Solution without eval with different input:
(define (update-s object stack)
(if (number? object)
(cons object stack)
(cons (object (car stack) (cadr stack))
(cddr stack))))
(define (postfix lst stack)
(if (null? lst)
(car stack)
(postfix (cdr lst)
(update-s (car lst) stack))))
Example:
> (postfix (list 1 2 +) '())
3

How to find the mean of a list with mixed symbols (numbers and characters) in scheme?

Given a list of the type '('a 1 'b 2 'c 3) I want to calculate the mean of the numbers in the list.
This is what I have done so far: I have written 3 functions that work correctly, one to remove the characters, the other to calculate the sum of the numbers in a list, and the other to find the average. But I do not know how to put them together to solve my problem.
;remove all non numbers from a list:
(define (all-numbers x)
(cond ((null? x) null)
((integer? (car x)) (cons (car x) (all-numbers (cdr x))))
(else (all-numbers (cdr x)))))
;sum the elements of the list
(define (sumlist lst)
(cond ((null? lst) 0)
(( + (car lst) (sumlist (cdr lst))))))
; find the mean of the list
(define (a_mean lst)
(cond ((null? lst) 0)
((/ (sumlist lst) (length lst)))))
(a_mean '(1 2 3))
;find the mean of a mixed list
(define (m_mean lst)
(cond ((null? lst) 0)
((/ (sumlist ((all-numbers lst)) (length (all-numbers lst)))))))
(m_mean '('a 1 'b 2 'c 3))
I get an error in the above code for m_mean. Please help! Thanks.
The answer by Óscar López should fix your problems.
I will now provide a more concise way of solving the same problem:
(define (m-mean lst)
(define all-numbers (filter number? lst)) ; Filter out all the non-numbers.
(if (null? all-numbers)
0 ; The mean is 0 if there are no numbers.
(/ (apply + all-numbers) (length all-numbers)))) ; Calculate mean.
This way, you do not have to explicitly define the all-numbers and sumlist functions.
For starters, some of your cond expressions are missing the else keyword in the final condition - this is mandatory, as you did in all-numbers. Also, in m_mean there are a couple of incorrect brackets; this should fix the errors:
(define (m_mean lst)
(cond ((null? lst) 0)
(else (/ (sumlist (all-numbers lst))
(length (all-numbers lst))))))
Now it works as expected:
(m_mean '(a 1 b 2 c 3))
=> 2

Scheme - n-ary subtraction function issues

I have the following n-ary function I defined:
(define (- . l)
(cond ((null? l) 0)
(else (b- (car l) (apply - (cdr l))))))
It works fine for two arguments, but anymore and it starts to add numbers in a strange way and I don't understand why.
Alternatively, I have a check implemented in a different version of this function in case there is only one argument:
(define (- . l)
(cond ((null? (cdr l)) (b- (b* l 2) l))
(else (b- (car l) (apply - (cdr l))))))
This second one does not work at all when I change the first condition.
Input should be something like (- 10 6 1)
I assume that b- is a binary subtraction, and that you want to mimic the usual subtraction of Scheme, which is a function such that:
with no arguments, gives an error,
with an argument, changes the sign of the argument,
with more than one argument, substracts from the first one all the others.
Here is a possibile solution (note that I've called the function n-):
(define (n- . l)
(define (aux l dec)
(if (null? l)
dec
(aux (cdr l) (b- dec (car l)))))
(cond ((null? l) (println "Error"))
((null? (cdr l)) (b- 0 (car l)))
(else (aux (cdr l) (car l)))))
(n-) ; => Error
(n- 3) ; => -3
(n- 10 6 1) ; => 3
(n- 11 4 8 2) ; => -3
The auxiliary function subtracts all the numbers from the list first argument to its second argument, and it is defined as a tail recursive function, so that it can be implemented in an iterative way.
The sane way to implement - is by using case-lambda, so that the unary, binary, and variadic cases can be handled separately:
(define -
(case-lambda
((a) (b- 0 a))
((a b) (b- a b))
((a b . rest) (apply - (b- a b) rest))))
Now, if you don't have case-lambda, then you'll have more work to do:
(define (- a . rest)
(if (null? rest)
(b- 0 a)
(let loop ((result a)
(rest rest))
(if (null? rest)
result
(loop (b- result (car rest)) (cdr rest))))))
This special-cases unary invocation to negate; otherwise, it iterates, using the first argument as the initial result, and updates the result by subtraction each time.

"application: not a procedure" Everything works except my attempt to print a #t

I am trying to print a basic #t. #f does print, but as soon as I try #t to be printed I just get an error. It happens when you get an empty list, which is usually when it's on the leave/child nodes.
Program checks if the input is a binary tree or not.
Arbol means tree.
(define (arbol-binario? a)
(if (list? a)
(if (null? a)
#t
(if (= (length a) 3)
((arbol-binario? (second a))
(arbol-binario? (cdr (cdr a))))
#f))
#f))
The problem is:
((arbol-binario? (second a))
(arbol-binario? (cdr (cdr a))))
If (arbol-binario? (second a)) evaluates to #t then
the application is: (#t (arbol-binario? (cdr (cdr a))) and you will get an error.
UPDATE
Try
(and (arbol-binario? (second a))
(arbol-binario? (cdr (cdr a))))

recursion over list of characters in scheme

I have found a recursive problem in one page that says the following:
If a person enter a string with two consecutive letters that are the same, it should put a 5 between them. For example if I enter "hello"
it should print "hel5lo"
I have done the following program in Scheme:
(define (function listT)
(if (empty? listT)
'()
(begin
(if (eq? (car listT) (car (cdr listT)))
(display 5)
(display (car listT))
)))
(function (cdr listT)))
and tested with:
(function'( 'h 'e 'l 'l 'o))
and the problem I got is
car: contract violation
expected: pair?
given: ()
I suppose that is because at one moment (car (cdr listT)) will face an empty list, have tried with a conditional before, but still with some issues.
Is it possible to do it only using recursion over the list of characters with cdr and car? I mean not with new variables, strings, using reverse or loops?
Any help?
Thanks
This happens when there is only one character left in the list; (cdr listT) will be the empty list '() and the car of the empty list is undefined.
So you either need to check that the cdr isn't empty, for example:
(define (f str)
(let loop ((lst (string->list str)) (res '()))
(if (null? lst)
(list->string (reverse res))
(let ((c (car lst)))
(loop (cdr lst)
(cons c
(if (and (not (null? res)) (char=? c (car res)))
(cons #\5 res)
res)))))))
or, instead of looking one character ahead, turn around your logic and keep track of the last character, which is initialised to some value that will be different in every case (not as elegant as the first solution though IMO):
(define (f str)
(list->string
(let loop ((prev #f) (lst (string->list str)))
(if (null? lst)
'()
(let ((c (car lst)))
(if (equal? c prev)
(cons #\5 (cons c (loop c (cdr lst))))
(cons c (loop c (cdr lst)))))))))
[EDIT alternatively, with an explicit inner procedure:
(define (f str)
(define (inner prev lst)
(if (null? lst)
'()
(let ((c (car lst)))
(if (equal? c prev)
(cons #\5 (cons c (inner c (cdr lst))))
(cons c (inner c (cdr lst)))))))
(list->string (inner #f (string->list str))))
]
Testing:
> (f "hello")
"hel5lo"
> (f "helo")
"helo"
> (f "heloo")
"helo5o"
Side note: don't double quote:
> '('h 'e 'l 'l 'o)
'('h 'e 'l 'l 'o)
> (car '('h 'e 'l 'l 'o))
''h
This is probably not what you expected. Instead:
> '(h e l l o)
'(h e l l o)
> (car '(h e l l o))
'h
or
> (list 'h 'e 'l 'l 'o)
'(h e l l o)
> (car (list 'h 'e 'l 'l 'o))
'h
Also note that these are symbols, whereas, since you start from a string, you want characters:
> (string->list "hello")
'(#\h #\e #\l #\l #\o)
EDIT 2
I see you are still struggling with my answer. Here's a solution that should be as minimal as you requested, I hope this is it:
(define (f lst (prev #f))
(unless (null? lst)
(when (equal? (car lst) prev) (display "5"))
(display (car lst))
(f (cdr lst) (car lst))))
or even
(define (f lst)
(unless (null? lst)
(display (car lst))
(when (and (not (null? (cdr lst))) (equal? (car lst) (cadr lst)))
(display "5"))
(f (cdr lst))))
Testing:
> (f '(h e l l o))
hel5lo
> (f '(h e l o))
helo
> (f '(h e l o o))
helo5o
I have found a solution:
(define (func lisT)
(if (empty? (cdr lisT))
(display (car lisT))
(begin
(if (eq? (car lisT) (car (cdr lisT)))
(begin
(display (car lisT))
(display 5)
)
(display (car lisT))
)
(func (cdr lisT))
)
))
Here's a solution including just one, top-level recursive function:
(define (insert list item)
(if (< (length list) 2) ;; not enough elements to compare?
list ;; then just return the input
(let ((first (car list)) ;; capture the first element,
(second (cadr list)) ;; the second element,
(rest (insert (cdr list) item))) ;; and the recursively processed tail
(cons first ;; construct a list with the first element
(if (eq? first second) ;; compare the first two and return either
(cons item rest) ;; the item before the rest
rest))))) ;; or just the rest
It takes as input a list and an item to be inserted between each two consecutive identical elements. It does not display anything, but rather returns another list with the result of the insertion. For example,
(insert '(1 2 2 3 3 3 2 2 1) 0)
results in
(1 2 0 2 3 0 3 0 3 2 0 2 1)
This hopefully solves your problem and seeds further experimentation.
Here is a straightforward function from a list to a list:
(define (add5s s)
(cond ((null? s) s)
((null? (cdr s)) s)
((equal? (car s) (cadr s)) (cons (car s) (cons 5 (add5s (cdr s)))))
(else (cons (car s) (add5s (cdr s))))
)
)
A list either:
is null
has one element
begins with two equal elements
begins with two unequal elements
A list with a 5 put between consecutive equal elements is respectively:
the list
the list
the first element followed by a 5 followed by the rest of it with a 5 put between consecutive equal elements
the first element followed by the rest of it with a 5 put between consecutive equal elements
A Scheme string is not a list of characters or a list of symbols. If you want to input and output strings then you should use the corresponding string operators. Or write a function that defines this one, calls it with string->list of an input string and outputs list->string of this one's result list. Or a function like this one but that branches on string->list of its input string and outputs list->string of what this one returns.
(It is really not clear what code is to be written. You say "enters a string", but your "tested" code is a function that takes a list as argument, rather than reading from a port. And you say "put a 5" but you print argument list elements or a 5 via display to a port, rather than returning a value of the type of the argument. And you give an example passing an argument that is a list of quoted symbols rather than just symbols let alone characters. (If you want to pass a list of symbols then use '(h e l l o) or (list 'h 'e 'l 'l 'o).) Say exactly what is to be produced, eg, a function with what arguments, return value and effect on ports.)

Resources