Implementing a Scheme interpreter that can handle if and cond - scheme

------------------------------------update-------------------------------------
I can make it work pretty well with this.
(define (handle-cond exp env)
(if (null? exp) (newline)
(if (eq? (caar exp) 'else) (my-eval (cadar exp) env)
(if (my-eval (caar exp) env) (my-eval (cadar exp) env) (my-eval (cons 'cond (cdr exp)) env)))))
Only difference between this and the system's cond is that when no condition is true,
it'll print a #void, I don't quite understand why, but other than this, it works fine.
Thank you all for answering.

You would have to turn the cond statement, into a series of nested ifs. So suppose that each cond clause is something like this:
(cond
(<expr1> <expr2>)
(<expr3> <expr4>)
(else <expr5>))
; This would become:
(if <expr1>
<expr2>
(if <expr3>
<expr4>
<expr5>))

Related

almost copied SICP interpreter code in DrRacket, but got error

I'm learning interpreter for quite a long time, after reading SICP chap 4.1~4.2, I tried to copy these code in my DrRacket in planet neil/sicp mode. I've carefully read these code but still cannot made the code running correctly.
during my copy, I made some changes:
eval function has been renamed to ewal;(because I want to avoid underlying scheme evaluating my code)
apply function has been renamed to epply (except that apply-in-underlying-scheme function);
rearranged the code structure for my better understanding
use #f and #t for my underlying implementation.
I have also disabled the driver-loop since I found the driver-loop never output a value for input.
the code failed to eval a compound procedure correctly, but can handle self-evaluating, define, and other special-form. I double checked the evaluate process, finding that if I change one point (I've marked with (*) in my code), so that the line
((compound-procedure? procedure) (eval-sequence (procedure-body procedure)
modified to
((compound-procedure? procedure) (ewal (procedure-body procedure)
the interpreter can finally eval compound procedure again. I don't know why but I think mine is correct. but SICP can't be wrong. My second question is how to make the driver-loop correctly output eval value.
the interpreter is also included in a gist because it's too long.
#lang planet neil/sicp
;; plot:
;; 1. env operation
;; 2. eval function
;; 3. test and eval for each special form and combination eval
;; 4. REPL
;; 5: test
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; environment
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define the-empty-environment '())
(define (first-frame env) (car env))
(define (enclosing-environment env)(cdr env))
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; env operation
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (extend-environment vars vals base-env)
(if (= (length vars) (length vals))
(cons (make-frame vars vals) base-env)
(if (< (length vars) (length vals))
(error "Too many args supplied" vars vals)
(error "Too few args supplied" vars vals))))
(define (lookup-variable-value var env)
(define(env-loop env)
(define (scan vars vals)
(cond ((null? vars) (env-loop (enclosing-environment env)))
((eq? var (car vars)) (car vals))
(else (scan (cdr vars) (cdr vals)))))
(if (eq? env the-empty-environment)
(error "Unbound variable" var)
(let ((frame (first-frame env)))
(scan (frame-variables frame)
(frame-values frame)))))
(env-loop env))
(define (set-variable-value! var val env)
(define (env-loop env)
(define (scan vars vals)
(cond ((null? vars) (env-loop (enclosing-environment env)))
((eq? var (car vars)) (set-car! vals val))
(else (scan (cdr vars) (cdr vals)))))
(if (eq? env the-empty-environment)
(error "Unbound variable -- SET!" var)
(let ((frame (first-frame env)))
(scan (frame-variables frame)
(frame-values frame)))))
(env-loop env))
(define (define-variable! var val env)
(let ((frame (first-frame env)))
(define (scan vars vals)
(cond ((null? vars) (add-binding-to-frame! var val frame))
((eq? var (car vars)) (set-car! vals val))
(else (scan (cdr vars) (cdr vals)))))
(scan (frame-variables frame)
(frame-values frame))))
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; frame operation
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (make-frame variables values)
(cons variables values))
(define (frame-variables frame) (car frame))
(define (frame-values frame) (cdr frame))
(define (add-binding-to-frame! var val frame)
(set-car! frame (cons var (car frame)))
(set-cdr! frame (cons val (cdr frame))))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; eval
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (ewal exp env)
(cond ((self-evaluating? exp) exp)
((variable? exp) (lookup-variable-value exp env))
((quoted? exp) (text-of-quotation exp))
((assignment? exp) (eval-assignment exp env))
((definition? exp) (eval-definition exp env))
((if? exp) (eval-if exp env))
((lambda? exp) (make-procedure (lambda-parameters exp)
(lambda-body exp)
env))
((begin? exp) (eval-sequence (begin-actions exp) env))
((cond? exp) (ewal (cond->if exp) env))
((application? exp) (epply (ewal (operator exp) env)
(list-of-values (operands exp) env)))
(else (error "Unknown type -- EWAL" exp))))
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; self-eval test and eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (self-evaluating? exp)
(cond ((number? exp) #t)
((string? exp) #t)
(else #f)))
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; variable test an eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (variable? exp) (symbol? exp))
;; (lookup-variable-value exp env) see below
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; quote test and eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (quoted? exp)
(tagged-list? exp 'quote))
(define (text-of-quotation exp) (cadr exp))
(define (tagged-list? exp tag)
(if (pair? exp)
(eq? (car exp) tag)
#f))
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; assignment test and eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (assignment? exp)
(tagged-list? exp 'set!))
(define (assignment-variable exp) (cadr exp))
(define (assignment-value exp) (caddr exp))
(define (eval-assignment exp env)
(set-variable-value! (assignment-variable exp)
(ewal (assignment-value exp) env)
env)
'ok)
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; definition test and eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (definition? exp)
(tagged-list? exp 'define))
(define (definition-variable exp)
(if (symbol? (cadr exp))
(cadr exp)
(caadr exp)))
(define (definition-value exp)
(if (symbol? (cadr exp))
(caddr exp)
(make-lambda (cdadr exp) ;;formal parameters
(cddr exp)))) ;;body
(define (make-lambda parameters body)
(cons 'lambda (cons parameters body)))
(define (eval-definition exp env)
(define-variable! (definition-variable exp)
(ewal (definition-value exp) env)
env)
'ok)
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; lambda test and eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (lambda? exp) (tagged-list? exp 'lambda))
(define (lambda-parameters exp) (cadr exp))
(define (lambda-body exp) (caddr exp))
(define (make-procedure parameters body env)
(list 'procedure parameters body env))
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; if test and eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (if? exp) (tagged-list? exp 'if))
(define (if-predicate exp) (cadr exp))
(define (if-consequent exp) (caddr exp))
(define (if-alternative exp)
(if (not (null? (cadddr exp)))
(cadddr exp)
'false))
(define (eval-if exp env)
(if (true? (ewal (if-predicate exp) env))
(ewal (if-consequent exp) env)
(ewal (if-alternative exp) env)))
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; begin test and eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (begin? exp) (tagged-list? exp 'begin))
(define (begin-actions exp) (cdr exp))
(define (last-exp? seq) (null? (cdr seq)))
(define (first-exp seq) (car seq))
(define (rest-exps seq) (cdr seq))
(define (eval-sequence exps env)
(cond ((last-exp? exps) (ewal (first-exp exps) env))
(else (ewal (first-exp exps) env)
(eval-sequence (rest-exps exps) env))))
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; application test and eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (application? exp) (pair? exp))
(define (operator exp) (car exp))
(define (operands exp) (cdr exp))
(define (no-operands? ops) (null? ops))
(define (first-operand ops) (car ops))
(define (rest-operands ops) (cdr ops))
(define (list-of-values exps env)
(if (no-operands? exps)
'()
(cons (ewal (first-operand exps) env)
(list-of-values (rest-operands exps) env))))
(define (epply procedure arguments)
(cond ((primitive-procedure? procedure) (apply-primitive-procedure procedure arguments))
((compound-procedure? procedure) (ewal (procedure-body procedure) ;; (*)
(extend-environment (procedure-parameters procedure)
arguments
(procedure-environment procedure))))
(else (error "Unkown procedure type -- EPPLY" procedure))))
(define (primitive-procedure? proc)
(tagged-list? proc 'primitive))
(define (primitive-implementation proc) (cadr proc))
(define (compound-procedure? p) (tagged-list? p 'procedure))
(define (procedure-parameters p) (cadr p))
(define (procedure-body p) (caddr p))
(define (procedure-environment p) (cadddr p))
(define (apply-primitive-procedure proc args)
(apply-in-underlying-scheme (primitive-implementation proc) args))
(define apply-in-underlying-scheme apply)
;;;;;;;;;;;;;;;;;;;;;;;;;;
;; cond test and eval
;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (cond? exp) (tagged-list? exp 'cond))
(define (cond-clauses exp) (cdr exp))
(define (cond-else-clause? clause)
(eq? (cond-predicate clause) 'else))
(define (cond-predicate clause) (car clause))
(define (cond-actions clause) (cdr clause))
(define (cond->if exp)
(expand-clauses (cond-clauses exp)))
(define (expand-clauses clauses)
(if (null? clauses)
'false
(let ((first (car clauses))
(rest (cdr clauses)))
(if (cond-else-clause? first)
(if (null? rest)
(sequence->exp (cond-actions first))
(error "ELSE clause isn't last -- COND->IF" clauses))
(make-if (cond-predicate first)
(sequence->exp(cond-actions first))
(expand-clauses rest))))))
(define (make-if predicate consequent alternative)
(list 'if predicate consequent alternative))
(define (sequence->exp seq)
(cond ((null? seq) seq)
((last-exp? seq) (first-exp seq))
(else (make-begin seq))))
(define (make-begin seq) (cons 'begin seq))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; env setup
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (setup-environment)
(let ((initial-env
(extend-environment (primitive-procedure-names)
(primitive-procedure-objects)
the-empty-environment)))
(define-variable! '#t #t initial-env)
(define-variable! '#f #f initial-env)
initial-env))
(define primitive-procedures
(list(list 'car car)
(list 'cdr cdr)
(list 'null? null?)
(list 'cons cons)
(list '+ +)
(list '- -)
(list '* *)
(list '/ /)
(list '= =)))
(define (true? x)
(not (eq? x false)))
(define (false? x)
(eq? x false))
(define (primitive-procedure-names)
(map car primitive-procedures))
(define (primitive-procedure-objects)
(map (lambda (proc) (list 'primitive (cadr proc)))
primitive-procedures))
(define the-global-environment (setup-environment))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; REPL
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define input-prompt "M-Eval input:")
(define output-prompt "M-Eval value:")
(define (driver-loop)
(prompt-for-input input-prompt)
(let ((input (read)))
(let ((output (ewal input the-global-environment)))
(announce-output output-prompt)
(user-print output)))
(driver-loop))
(define (prompt-for-input string)
(newline)
(newline)
(display string)
(newline))
(define (announce-output string)
(newline)
(display string)
(newline))
(define (user-print object)
(if (compound-procedure? object)
(display (list 'compound-procedure
(procedure-parameters object)
(procedure-body object)
'<procedure-env>))))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; test
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define env0 the-global-environment)
(ewal '(define (p1 x) (+ x 1)) env0 )
(ewal '(p1 4) env0)
(ewal '(define (append x y)
(if (null? x)
y
(cons (car x)
(append (cdr x) y)))) env0)
(ewal '(define (factorial n)
(if (= 1 n)
1
(* n (factorial (- n 1))))) env0)
(ewal '(factorial 5) env0)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; init main loop
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;(driver-loop)
;; this is commented since I found it run incorrectly
update :
#Will Ness said:
about the eval-sequence, your procedure-body function is incorrect. it
should be cddr, not caddr, to match the eval-sequence's expectations.
I think my procedure-body def is right. consider I am interpreting this exp:
((lambda (n)
(if (= 1 n)
1
0))
5)
this is an application, and the operator can be evaluated by eval
(ewal (operator '((lambda (n)
(if (= 1 n)
1
0))
5)) env0)
so the value of operator is a list(closure) like this:
(procedure (n) (if (= 1 n) 1 0) #new-env)
if my procedure-body is caddr of the closure, the body will be (if (= 1 n) 1 0).
but if I change procedure-body into (cddr p), procedure-body will become like : ((if (= 1 n) 1 0) #new-env)
this means the #new-env will be a part of my procedure body. anyway this is not incorrect because procedure body should not include the closure's environment.
but indeed, this interpreter cannot handle a function whose body is composed by a list of expressions. In this case, I don't know how to extract the body(exp list) from the closure.
about the eval-sequence, your procedure-body function is incorrect. it should be cddr, not caddr, to match the eval-sequence's expectations.
about the driver-loop, it uses user-print to show the output, but user-print is incomplete. it only shows values which are compound procedures, not anything else.
in my interpreter, the case lambda cannot eval a function whose body is composed by a list of expressions, bacause lambda-bodyis defined as (caddr exp). I should modify it :
(define (lambda-body exp) (cddr exp))
and in my epply function, the condition compound-procedure should eval-sequence of procedure body, because now procedure body is a list of expressions, not a expression.

Implement SICP evaluator using Racket

I'm working on metacircular evaluator of 4.1.4 Running the Evaluator as a Program, building which with Racket:
#lang racket
(require (combine-in rnrs/base-6
rnrs/mutable-pairs-6))
(define (evaluate exp)
(cond
; ...
((definition? exp) (display exp)
(display " is a definition\n"))
; ...
(else (display exp)
(display " is something else\n"))))
(define (definition? exp)
(tagged-list? exp 'define))
(define (tagged-list? exp tag)
(if (pair? exp)
(eq? (car exp) tag)
false))
(define (driver-loop)
(let ((input (read)))
(let ((output (evaluate input)))
output))
(driver-loop))
(driver-loop)
After getting a box that reads input in DrRacket successfully, I type in (define a 0) and it turn out:
(define a 0) is something else
It could be recognised if I remove
(require (combine-in rnrs/base-6
rnrs/mutable-pairs-6))
But without which I wouldn't be able to call set-car! or set-cdr!. Is there an alternative for set- function?
Or could I choose what to import from rnrs/base-6 and rnrs/mutable-pairs-6 ?
It should run fine. I made a quick test with the code you gave.
(define (evaluate exp)
(cond
; ...
((definition? exp) (display exp)
(display " is a definition\n"))
; ...
(else (display exp)
(display " is something else\n"))))
(define (definition? exp)
(tagged-list? exp 'define))
(define (tagged-list? exp tag)
(if (pair? exp)
(eq? (car exp) tag)
false))
(define (driver-loop)
(let ((input (read)))
(let ((output (evaluate input)))
output))
(driver-loop))
(driver-loop)
Running this in the racket language will give me :
--> is user input
-->(define a 0)
(define a 0) is a definition
-->(list 1 2 3)
(list 1 2 3) is something else
As you can see the right branch of the conditional was entered.
Are you sure the error comes from the else branch? Because your error message contains a :, display in the else branch don't.
EDIT : What exactly did you entered in the input prompt?
Confusion could be that a call to Racket's eval function needs a list as argument, (eval '(define a 0)). However if you enter this in the input prompt it won't work. You'll have to write (define a 0), like a normal definition.
Here is the bug:
(require (combine-in rnrs/base-6
rnrs/mutable-pairs-6))
Package rnrs/base-6 and rnrs/mutable-pairs-6 bring in something unpredicted that change cons(as well as car, cdr) leading (define a 0) not been caught by definition?
Solution:
(require (only-in (combine-in rnrs/base-6
rnrs/mutable-pairs-6)
set-car!
set-cdr!))
Always put only-in in require to avoid any unwanted binding.

sicp pattern matching - compound?

I am watching the video lectures of SICP. Currently I am on 4A Pattern Matching and Rule Based Substitution.
So far, I found the Matcher and the Instantiator is easy. But I can't get my head into The simplifier.
(define (simplifier the-rules)
(define (simplify-exp exp)
(try-rules (if (compound? exp)
(map simplify-exp exp)
exp)))
(define (try-rules exp)
(define (scan rules)
(if (null? rules)
exp
(let ((dict (match (pattern (car rules))
exp
(empty-dictionary))))
(if (eq? dict 'failed)
(scan (cdr rules))
(simplify-exp (instantiate (skeleton (car rules)) dict))))))
(scan the-rules))
simplify-exp)
I saw another question here on this topic which defined compound? in terms of pair?. But, Then what simplify-exp feeding to try-rules?
Figured it out. The rules are going to apply in every node as promised. You can vote to delete the question. But, I would add some explanation on how I made it working.
I changed some code. The original code seems written with some other semantic in mind. I added some commentary where I made some decision on my own.
#lang racket
;matcher
(define (match pat exp dict)
(cond ((eq? dict 'failed) 'failed)
;matched
((and (null? pat) (null? exp)) dict)
;so far matched, but no more
((or (null? pat) (null? exp)) 'failed)
((atom? pat)
(if (atom? exp)
(if (eq? pat exp)
dict
'failed)
'failed))
((pat-const? pat)
(if (constant? exp)
(extend-dict pat exp dict)
'failed))
((pat-variable? pat)
(if (variable? exp)
(extend-dict pat exp dict)
'failed))
((pat-exp? pat)
(extend-dict pat exp dict))
((atom? exp) 'failed)
(else
(match (cdr pat)
(cdr exp)
(match (car pat) (car exp) dict)))))
(define (pat-const? pat)
(eq? (car pat) '?c))
(define (pat-variable? pat)
(eq? (car pat) '?v))
(define (pat-exp? pat)
(eq? (car pat) '?))
(define constant? number?)
(define variable? symbol?)
;instantiator
(define (instantiate skeleton dict)
(define (loop s)
(cond ((atom? s) s)
;we cant run past the nil line
((null? s) '())
((skeleton-evaluation? s) (evaluate s dict))
(else
(cons (loop (car s)) (loop (cdr s))))))
(loop skeleton))
(define (skeleton-evaluation? s)
(eq? (car s) ':))
;made it simpler, no environment constant, sorry
(define (evaluate s dict)
(let ((data (lookup (cadr s) dict)))
(if (null? data)
(display "error in rules. mismatch")
(cadr data))))
;simplifier
(define (simplifier rules)
(define (simplify-exp exp)
(try-rules (if (list? exp)
(map simplify-exp exp)
exp)))
(define (try-rules exp)
(define (scan rule)
(if (null? rule)
exp
(let ((dict (match (pattern (car rule)) exp (empty-dict))))
(if (eq? dict 'failed)
(scan (cdr rule))
(simplify-exp (instantiate (skeleton (car rule)) dict))))))
(scan rules))
simplify-exp)
(define pattern car)
(define skeleton cadr)
;dictionary
(define (empty-dict)
'())
(define (extend-dict pat exp dict)
(let ((v (lookup (cadr pat) dict)))
(if (null? v)
(cons (list (cadr pat) exp) dict)
(if (eq? (cadr v) exp)
dict
'failed))))
(define (lookup s dict)
(cond ((null? dict) '())
((eq? (caar dict) s) (car dict))
(else (lookup s (cdr dict)))))
;extend racket
(define (atom? a)
(and (not (null? a)) (not (pair? a))))
And? you know what? It works :)

Implementing an interpreter for "if" statement in scheme

I am trying to implement an interpreter in scheme. For now i implemented some part of it, but i am having problems with "if" statement. Here is the grammar:
<s6> -> <expr>
| <define>
<define> -> ( define IDENT <expr> )
<expr> -> NUMBER
| IDENT
| <if>
<if> -> ( if <expr> <expr> <expr> )
Here is the code i have written so far:
(define get-operator (lambda (op-symbol)
(cond
((equal? op-symbol '+) +)
((equal? op-symbol '-) -)
((equal? op-symbol '*) *)
((equal? op-symbol '/) /)
(else (error "s6-interpret: operator not implemented -->" op-symbol)))))
(define if-stmt? (lambda (e)
(and (list? e) (equal? (car e) 'if) (= (length e) 4))))
(define define-stmt? (lambda (e)
(and (list? e) (equal? (car e) 'define) (symbol? (cadr e)) (= (length e) 3))))
(define get-value (lambda (var env)
(cond
((null? env) (error "s6-interpret: unbound variable -->" var))
((equal? (caar env) var) (cdar env))
(else (get-value var (cdr env))))))
(define extend-env (lambda (var val old-env)
(cons (cons var val) old-env)))
(define repl (lambda (env)
(let* (
(dummy1 (display "cs305> "))
(expr (read))
(new-env (if (define-stmt? expr)
(extend-env (cadr expr) (s6-interpret (caddr expr) env) env)env))
(val (if (define-stmt? expr)
(cadr expr)
(s6-interpret expr env)))
(dummy2 (display "cs305: "))
(dummy3 (display val))
(dummy4 (newline))
(dummy4 (newline)))
(repl new-env))))
(define s6-interpret (lambda (e env)
(cond
((number? e) e)
((symbol? e) (get-value e env))
((not (list? e)) (error "s6-interpret: cannot evaluate -->" e))
(if-stmt? e) (if (eq? (cadr e) 0) (map s6-interpret (cadddr e)) (map s6-interpret(caddr e))))
(else
(let ((operands (map s6-interpret (cdr e) (make-list (length (cdr e)) env)))
(operator (get-operator (car e))))
(apply operator operands))))))
(define cs305-interpreter (lambda () (repl '())))
The define statement works well. My code also includes implementation of some basic math operators, you can ignore them. My problem is, the "if" statement i implemented does not work as i expect. When i write "(if 1 (+ 2 5) 9)" it prints out (+ 2 5) but actually i want it to print out 7, which is 2+5. I think there is a problem about my recursion. Can anyone help me with this?
Thank you
The code you have written for if statements never triggers, because if statements are lists of length 4, not 3:
(define if-stmt? (lambda (e)
(and (list? e)
(equal? (car e) 'if)
(= (length e) 3))))
> (length '(if condition then-clause else-clause))
4
> (if-stmt? '(if condition then-clause else-clause))
#f
It would probably make more sense to accept any list that starts with the symbol "if" as an if statement. If it doesn't have a legal length, that just means it's a broken if statement, not that it's something else entirely (unless the language you're writing an interpreter for is unusual for a Lisp in this respect).
There is indeed also something wrong with your recursion, in that you're not using it in this case. When if-stmt? triggers, you are not calling s6-interpret again. The following would be closer to correct:
((if-stmt? e)
(s6-interpret
(if (eq? (cadr e) 0)
(cadddr e)
(caddr e))
env))
Note that there are also other irregularities with your implementation, including the if statement. For instance, it is not conventional that "0" evaluates as false, and certainly very unconventional that #f evaluates as true.
Check what the Scheme implementation actually does to see what is considered conventional/correct. You can also refer to R5RS, which is comparatively short and readable for a language specification.
A few hints about code legibility:
You should use conventional indentation. This will make your code easier to read. If you're using a Scheme-aware editor, the editor can likely help you with this. For instance, in DrRacket, just press "tab" when at the start of a line and this line will be fixed for you. You'll need to insert newlines as appropriate.
Scheme has a syntax especially for defining functions. Use it. You have likely been taught that you could implement everything by binding lambdas to symbol names -- functions are not special. That's an important theoretical point, but it's not a good idea to do this in practice. The following are essentially equivalent, but the latter is shorter and easier to read.
(define f (lambda (a b) (+ a b)))
(define (f a b) (+ a b))

Manipulating the Scheme evaluator

I'm trying to manipulate the Scheme evaluator and write a make-unbound! procedure that unbinds a variable from the environment:
(define (make-unbound! var env)
(let ((frame (first-frame env)))
(define (scan vars vals)
(let ((new-frame
(make-frame
(zip
(filter (lambda (x) (not (eq? x (car vars)))) vars)
(filter (lambda (x) (not (eq? x (car vals)))) vals))
env)))
(cond ((null? vars)
(display '(No frame to unbind)))
((eq? var (car vars))
(set-car! vars new-frame)) ; the problem seems to be here
(else (scan (cdr vars) (cdr vals))))))
(scan (frame-variables frame)
(frame-values frame))))
The problem seems to be with where I'm setting the car of the variable. But I'm not sure what it should be changing to....
This looks like exercise 4.13 of SICP. The make-unbound! special form can be evaluated like this using Racket:
(define (remove-association! key lst)
(define (loop prev l)
(cond ((null? l) lst)
((equal? (mcar (mcar l)) key)
(set-mcdr! prev (mcdr l))
lst)
(else (loop l (mcdr l)))))
(cond ((null? lst) '())
((eq? (mcar (mcar lst)) key) (mcdr lst))
(else (loop lst (mcdr lst)))))
(define (unbind-variable! var env)
(define (env-loop env)
(define (scan bindings)
(cond ((massq var bindings)
(set-mcar! env (remove-association! var bindings)))
(else (env-loop (enclosing-environment env)))))
(unless (eq? env the-empty-environment)
(scan (first-frame env))))
(env-loop env))
(define (unbound-variable exp)
(cadr exp))
(define (eval-make-unbound! exp env)
(unbind-variable! (unbound-variable exp)
env))
It removes the first binding that finds with the given symbol, be it in the current frame or any of its enclosing environments. If the symbol was unbound in the first place, it does nothing. I chose to implement the unbind operation in this fashion so that the (possible) bindings in enclosing environments are kept intact.
Don't forget to specify in the eval procedure that the special form make-unbound! is to be evaluated using the eval-make-unbound procedure.
Also, be warned that I made my implementation using Racket's mutable pairs library, so the procedure names I'm using sometimes have an extra m somewhere in their names, meaning: they're defined for mutable pairs. For example: mcar, mcdr, set-mcar!, set-mcdr!, massq. If any of the previous procedures is not found, simply remove the m from the name and try again.

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