I need a function to display an 'unprocessed' expression - scheme

I am new to Scheme so excuse me if I am using the wrong vocabulary. I want a function, I am calling it QandA, that will (among other things) display its raw or unprocessed argument. For example:
(QandA (+ 1 2)) should return the string "(+ 1 2) : 3"
(QandA (quote (+ 1 2))) should return "(quote (+ 1 2)) : (+ 1 2)"
What I first tried was:
(define (QandA x)
(display (quote x)) (display " : " ) (display x))
but then
(QandA (+ 1 2)) returns "x : 3"
I understand why this is wrong, but don't know where to look to find a solution.
So the question is, what do I replace (display (quote x)) with to get the behavior I require. Any hints welcome.

As #ymonad pointed out, this is a good scenario for using macros - because you need to defer the evaluation of the expression that's passed as parameter to QandA. Some of your previous questions were tagged racket, so here's an implementation for Racket using #lang racket (also works for #lang scheme) that returns a string, as requested (if you want to display the value replace format with printf):
(define-syntax-rule (QandA exp)
(format "~a : ~a" 'exp exp))
This is the output for the sample input given in the question:
(QandA (+ 1 2))
=> "(+ 1 2) : 3"
(QandA (quote (+ 1 2)))
=> "(quote (+ 1 2)) : (+ 1 2)"

As you see, you cannot achieve it using function since the argument is evaluated before it is passed to the function.
One solution is using macros, it can access to the unprocessed expression and create another expression.
Here's an example that works on guile
(define-syntax QandA
(syntax-rules ()
((QandA arg)
(begin (display (quote arg))(display " : ")(display arg)))))
(QandA ((+ 1 2))) ; (+ 1 2) : 3
(QandA (quote (+ 1 2))) ; (quote (+ 1 2)) : (+ 1 2)
The supported syntax of generating macro differs by interpreters, so you should check the document of interpreter which you are using.
However, define-syntax and syntax-rules should be able to use in interpreter which supports R5RS or R6RS.

Related

Printing intermediate results in Scheme

I want to make a program that makes a conversion simulating a for loop, for example:
orig value converted
1 2.2
2 4.4
...
199 437.8
So far, what I have done is the following:
(define (conv ini)
(if (> ini 199)
0
(begin(
(display (* ini 2.2))
(newline)
(conv (+ ini 1))))))
but when I want to run it I got the following error:
arity mismatch;
the expected number of arguments does not match the given number
expected: 1
given: 2
arguments...:
I see that my recursion call is fine, so I cannot get it which one is the problem.
The syntax of begin is (begin form ...) not (begin (form ...)): your function should be
(define (conv ini)
(if (> ini 199)
0
(begin
(display (* ini 2.2))
(newline)
(conv (+ ini 1)))))
(Or, if you are enamoured of a syntax like that, you could define
(define-syntax beguine
(syntax-rules ()
[(_ (form ...))
(begin form ...)]))
and then (beguine (...)) will work.)
...
(begin(
(display (* ini 2.2))
...))))
In your code you actually try to execute (OP ...), where OP is the value of (display ...), which for sure is not a function.
So I doubt a lot your output is the output of what you pasted in your question.

Both (funcall (lambda and (lambda worked

I am reading Simple-Lambda in elisp docs with an example
#+begin_src emacs-lisp :session sicp :lexical t
(funcall (lambda (a b c) (+ a b c))
1 (* 2 3) (- 5 4))
#+end_src
#+RESULTS:
: 8
the below works as well
#+begin_src emacs-lisp :session sicp :lexical t
((lambda (a b c) (+ a b c))
1 (* 2 3) (- 5 4))
#+end_src
#+RESULTS:
: 8
This confused me, elisp is lisp-2 style, so when evaluate (lambda (a b c) (+ a b c)), the interpreter will look into the block's cell for definition object, and thus the doc's demonstration make sense to invoke funcall
(funcall (lambda (a b c) (+ a b c))
1 (* 2 3) (- 5 4))
Nonetheless, it works without funcall?
((lambda (a b c) (+ a b c))
1 (* 2 3) (- 5 4))
Additionally, lambda is not of self-evaluating forms
It is common to write numbers, characters, strings, and even vectors
in Lisp code, taking advantage of the fact that they self-evaluate.
Elisp has a special case for lambda forms being called directly.
((lambda ...) ...)
As you've noted, that approach doesn't work in more general cases for other function-returning forms. It is also deprecated for this case where it does work, so it's best not to use it at all.
This syntax is covered briefly in (elisp)Function Indirection:
the following example calls a function without any
symbol function indirection, because the first element is an anonymous
Lisp function, not a symbol.
((lambda (arg) (erste arg))
'(1 2 3))
⇒ 1
Executing the function itself evaluates its body; this does involve
symbol function indirection when calling ‘erste’.
This form is rarely used and is now deprecated. Instead, you should
write it as:
(funcall (lambda (arg) (erste arg))
'(1 2 3))
or just
(let ((arg '(1 2 3))) (erste arg))

Calling a function that takes no parameter with a parameter in scheme

How does this code work? It does not seem like any of these functions have a parameter but yet you are able to call it with a parameter
(define (make-add-one)
(define (inc x) (+ 1 x))
inc)
(define myfn (make-add-one))
(myfn 2)
This runs and returns 3.
Lets use substitution rules. make-add-one can be rewritten like this:
(define make-add-one (lambda ()
(define inc (lambda (x) (+ 1 x))
inc))
Since inc is just returned we can simplify it further to this:
(define make-add-one (lambda ()
(lambda (x) (+ 1 x)))
Now myfn we can replace the call to make-add-one with the code that the lambda has inside:
(define myfn (make-add-one)) ; ==
(define myfn (lambda (x) (+ 1 x)))
And at last, we can use substitution rules on the last call:
(myfn 2) ; ==
((lambda (x) (+ 1 x)) 2) ; ==
(+ 1 2) ; ==
3
Now make-add-one makes a new function that is identical to all other functions it makes. It doesn't really add anything. A good example of where this is useful is this example:
(define (make-add by-what)
(lambda (value) (+ value by-what)))
(define inc (make-add 1))
(define add5 (make-add 5))
(map add5 '(1 2 3)) ; ==> (6 7 8)
(map inc '(1 2 3)) ; ==> (2 3 4)
Just to see it's the same:
(add5 2) ; ==
((make-add 5) 2) ; ==
((lambda (value) (+ value 5)) 2) ; ==
(+ 2 5) ; ==
; ==> 7
And how does this work. In a lexically scoped language, all lambda forms captures the variables that are not bound in their own parameter list from the scope which it was created. This is known as a closure. A simple example of this is here:
(define x 10)
(define test
(let ((x 20)
(lambda (y) (+ x y))))
(test 2) ; ==> 22
So in Scheme test uses x from the let even after the scope is out since the lambda was created in that scope. In a dynamically scoped language (test 2) would return 12 and the two previous examples would also produce other results and errors.
Lexical scoping came first to Algol, which is the predecessor to all the C language family languages like C, java, perl. Scheme was proably the first lisp and it was the essential design of the language itself. Without closure first version of Scheme was the same as its host langugage, MacLisp.
Lift the definition of inc out of make-add-one:
(define (inc x) (+ 1 x))
(define (make-add-one)
inc)
Now it's clearer that the expression (make-add-one) is the same as inc, and inc is clearly a procedure with one parameter.
In other words, invoking make-add-one with no arguments produces a procedure that takes one argument.
You can use the substitution method to follow the evaluation:
(myfn 2)
==> ((make-add-one) 2)
==> (inc 2)
==> (+ 1 2)
==> 3

Getting #<undef> back when calling a scheme function

I have the following code in Scheme:
(define (processExpression lst)
(define operand (car lst))
(define operator1 (cadr lst))
(define operator2 (caddr lst))
(if (list? operand)
(begin
(display "Invalid syntax! Erroring out!")
(quit)
)
)
(if (and (number? operator1) (number? operator2))
;The list was of the form (operand c1 c2)
(simplePrefix lst)
)
(if (and (list? operator1) (number? operator2))
(begin
(list operand operator2 (processExpression operator1))
)
)
)
(define (simplePrefix lst)
(let (
(operand (car lst))
(operator1 (cadr lst))
(operator2 (caddr lst)))
(list operator1 operand operator2)
)
)
(display "Please enter a valid s-expression")
(let ((input (read)))
(display (simplePrefix input))
)
This code takes and s-expression and converts it based on some rules. One rule should be that the expression (+ (+ 1 2) 2) should return (+ 2 (1 + 2)).
Currently when I call this code with that expression I get back the result "#undef>" but I have no idea why. The code should call the simplePrefix function on the (+ 1 2) part of the expression and return (1 + 2) but it does not. Does anyone understand why?
The value of
(if condition
something)
is undefined if condition is false, because there's no else part in the if form. In the R5RS version of Scheme, this is stated (emphasis added):
4.1.5 Conditionals
syntax: (if <test> <consequent> <alternate>)
syntax: (if <test> <consequent>)
Syntax: <Test>, <consequent>, and <alternate> may be arbitrary expressions.
Semantics: An if expression is evaluated as follows: first, <test> is evaluated. If it yields a true value (see section
6.3.1), then <consequent> is evaluated and its value(s) is(are) returned. Otherwise <alternate> is evaluated and its value(s)
is(are) returned. If <test> yields a false value and no
<alternate> is specified, then the result of the expression is
unspecified.
(if (> 3 2) 'yes 'no) ===> yes
(if (> 2 3) 'yes 'no) ===> no
(if (> 3 2)
(- 3 2)
(+ 3 2)) ===> 1
Some Scheme-like languages (e.g., Racket) will actually warn you if you try this:
Welcome to Racket v6.1.
> (if #t
(display "hello"))
stdin::1: if: missing an "else" expression
in: (if #t (display "hello"))
context...:
In Common Lisp, the else part is optional, and defined to be nil if not provided:
This is SBCL 1.2.4.58-96f645d, an implementation of ANSI Common Lisp.
More information about SBCL is available at <http://www.sbcl.org/>.
* (if t
(print 'hello))
HELLO
HELLO
* (if nil
(print 'hello))
NIL
The expression
(if condition result)
is not equivalent to
if condition
return result
in other languages.
It doesn't return a value, it has a value.
If the condition is false, that value is undefined.
If it is followed by other expressions in a sequence, the value is ignored and the following expressions are evaluated.
The result of evaluating a function application is the value of the last expression in the function's body
(define (foo)
(if (= 1 1)
"one is one")
"I am still here")
> (foo)
"I am still here"
These two added together lead to the error you're experiencing.

Scheme: cannot use #t in an if statement

Apologies if the question title is a bit confusing. Maybe after you are through reading it, you can suggest me a better title.
As a part of a homework assignment for an online course, I wrote an iterative procedure in mit-scheme to display number from 1 to a given number.
The code below works fine:
(define (count2-iter num)
(define (iter counter)
(cond ((> counter num) #t)
(else (display counter)
(iter (+ counter 1)))))
(iter 1))
The output:
1 ]=> (load "count2-iter.scm")
;Loading "count2-iter.scm"... done
;Value: count2-iter
1 ]=> (count2-iter 10)
12345678910
;Value: #t
Personally I do not like using cond for 2 branches only and I tried to use if for this.
(define (count2-iter1 num)
(define (loop idx)
(if (> idx num)
#t
((display idx)
(loop (+ idx 1)))))
(loop 1))
The output:
1 ]=> (count2-iter1 5)
5
;The object #!unspecific is not applicable.
;To continue, call RESTART with an option number:
; (RESTART 2) => Specify a procedure to use in its place.
; (RESTART 1) => Return to read-eval-print level 1.
Why is this? Shouldn't #t be evaluated the same way it was used in cond? Would really appreciate an explanation as I am still new to Scheme.
Try this instead:
(define (count2-iter1 num)
(define (loop idx)
(if (> idx num)
#t
(begin ; notice the difference!
(display idx)
(loop (+ idx 1)))))
(loop 1))
Here's why: when you use an if, there can be only one expression in the consequent part and one in the alternative part. If more than one expression is needed, we have to surround them with a (begin ...). You surrounded the expressions between (...), which is not ok, because parenthesis are used for function application (that's why the error message states that The object #!unspecific is not applicable).
On the other hand, a cond has an implicit begin for each of its clauses when a condition is met. Personally, I prefer to stick with using cond when I need more than one expression after a condition - it's less verbose.

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