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Exercise 4.11 frame as list of bindings.rkt
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Exercise 4.11 frame as list of bindings.rkt
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#lang racket
; Exercise 4.11. Instead of representing a frame as a pair of lists, we can represent a frame as a
; list of bindings, where each binding is a name-value pair. Rewrite the environment operations to
; use this alternative representation.
; S O L U T I O N
(require rnrs/mutable-pairs-6)
(require compatibility/mlist)
(define (EVAL expression env)
(cond
((self-evaluating? expression) expression)
((quoted? expression) (text-of-quotation expression))
((variable? expression) (lookup-variable-value expression env))
((pair? expression)
(let ((handler (get (operator expression) 'eval)))
(if (not (null? handler))
; handler found so pass the expression to it
(handler expression env)
; handler not found so it must be a procedure application
(begin
; (display "Calling APPLY on: ")
; (display expression)
; (newline)
(APPLY
(EVAL (operator expression) env)
(list-of-values (operands expression) env)
)
)
)
)
)
(else
(error "Unknown expression type -- EVAL" expression)
)
)
)
; Self Evaluating Expressions
(define (self-evaluating? expression)
(cond
((number? expression) true)
((string? expression) true)
(else false)
)
)
; Quoted Expressions
(define (quoted? expression)
(tagged-list? expression 'quote)
)
(define (text-of-quotation expression) (cadr expression))
; Assignment Expressions
(define (assignment? expression)
(tagged-list? expression 'set!)
)
(define (assignment-variable expression) (cadr expression))
(define (assignment-value expression) (caddr expression))
(define (make-assignment variable-name value)
(list 'set! variable-name value)
)
(define (EVAL-assignment expression env)
; (display "In proc EVAL-assignment to evaluate: ")
; (display expression)
; (newline)
(set-variable-value!
(assignment-variable expression)
(EVAL (assignment-value expression) env)
env
)
'ok
)
(define (set-variable-value! var val env)
; (display "In proc set-variable-value! to set ")
; (display var)
; (display " to ")
; (display val)
; (newline)
(define (env-loop env)
(define (scan frame)
(cond
((null? frame)
(env-loop (enclosing-environment env))
)
((eq? var (car (mcar frame)))
(set-mcar! frame (cons var val))
)
(else (scan (mcdr frame)))
)
)
(if (eq? env the-empty-environment)
(error "Unbound variable -- SET!" var)
(let ((frame (first-frame env)))
(scan frame)
)
)
)
(env-loop env)
)
; Definition Expressions
(define (definition? expression)
(tagged-list? expression 'define)
)
(define (definition-variable expression)
(if (symbol? (cadr expression))
(cadr expression)
(caadr expression)
)
)
(define (definition-value expression)
(if (symbol? (cadr expression))
(caddr expression)
(make-lambda
(cdadr expression) ; formal parameters
(cddr expression) ; body
)
)
)
(define (make-definition variable-name value)
(list 'define variable-name value)
)
(define (EVAL-definition expression env)
; (display "In proc EVAL-definition to evaluate: ")
; (display expression)
; (newline)
(define-variable!
(definition-variable expression)
(EVAL (definition-value expression) env)
env
)
'ok
)
(define (define-variable! var val env)
; (display "In proc define-variable! to define ")
; (display var)
; (display " as ")
; (display val)
; (newline)
(let ((frame (first-frame env)))
(define (scan frame)
(cond
((null? frame)
(add-binding-to-env! var val env)
)
((eq? var (car (mcar frame)))
(set-mcar! frame (cons var val))
)
(else (scan (mcdr frame)))
)
)
(scan frame)
)
)
; Variable Expressions
(define (variable? expression) (symbol? expression))
(define (lookup-variable-value var env)
; (display "In proc lookup-variable-value to lookup: ")
; (display var)
; (newline)
(define (env-loop env)
(define (scan frame)
(cond
((null? frame)
(env-loop (enclosing-environment env))
)
((eq? var (car (mcar frame)))
(begin
; (display "Found value ")
; (display (cdr (mcar frame)))
; (newline)
(cdr (mcar frame))
)
)
(else
(scan (mcdr frame))
)
)
)
(if (eq? env the-empty-environment)
(error "Unbound variable" var)
(let ((frame (first-frame env)))
(scan frame)
)
)
)
(env-loop env)
)
; 'if' Expressions
(define (if? expression) (tagged-list? expression 'if))
(define (if-predicate expression) (cadr expression))
(define (if-consequent expression) (caddr expression))
(define (if-alternative expression)
(if (not (null? (cdddr expression)))
(cadddr expression)
'false
)
)
(define (make-if predicate consequent alternative)
(list 'if predicate consequent alternative)
)
(define (EVAL-if expression env)
; (display "In proc EVAL-if to evaluate: ")
; (display expression)
; (newline)
(if (true? (EVAL (if-predicate expression) env))
(EVAL (if-consequent expression) env)
(EVAL (if-alternative expression) env)
)
)
; lambda Expressions
(define (lambda? expression) (tagged-list? expression 'lambda))
(define (lambda-parameters expression) (cadr expression))
(define (lambda-body expression) (cddr expression))
(define (make-lambda parameters body)
(cons 'lambda (cons parameters body))
)
(define (EVAL-lambda expression env)
; (display "In proc EVAL-lambda to evaluate: ")
; (display expression)
; (newline)
(make-procedure
(lambda-parameters expression)
(lambda-body expression)
env
)
)
(define (make-procedure parameters body env)
(list 'procedure parameters body env)
)
; let Expressions
(define (let? expression) (tagged-list? expression 'let))
(define (named-let? expression)
(if (let? expression)
(if (not (null? (cdddr expression)))
true
false
)
false
)
)
(define (let-var-bindings expression)
(if (named-let? expression)
(caddr expression)
(cadr expression)
)
)
(define (let-body expression)
(if (named-let? expression)
(cdddr expression)
(cddr expression)
)
)
(define (named-let-proc-name expression)
(cadr expression)
)
(define (let->combination expression)
(let (
(parameters (map car (let-var-bindings expression)))
(arguments (map cadr (let-var-bindings expression)))
)
(if (named-let? expression)
; The idea is to create the following:
; (begin
; (define <named-let-proc-name> (lambda () ...))
; (<named-let-proc-name> arguments)
; )
(make-begin
(list
(make-definition
(named-let-proc-name expression)
(make-lambda parameters (let-body expression))
)
(cons (named-let-proc-name expression) arguments)
)
)
; Ordinary let
(cons (make-lambda parameters (let-body expression)) arguments)
)
)
)
(define (make-let var-bindings body)
(cons 'let (cons var-bindings body))
)
(define (EVAL-let expression env)
(display "In proc EVAL-let to evaluate: ")
(display expression)
(newline)
(display "Converted ")
(display expression)
(display " to: ")
(newline)
(display (let->combination expression))
(newline)
(EVAL (let->combination expression) env)
)
; let* Expressions
(define (let*? expression) (tagged-list? expression 'let*))
(define (let*-var-bindings expression) (cadr expression))
(define (let*-first-var-binding var-bindings) (car var-bindings))
(define (let*-rest-var-bindings var-bindings) (cdr var-bindings))
(define (let*-body expression) (cddr expression))
; (let* ((x 3)
; (y (+ x 2))
; (z (+ x y 5)))
; (* x z))
; can be written as:
; (let ((x 3))
; (let ((y (+ x 2)))
; (let ((z (+ x y 5)))
; (* x z)
; )
; )
; )
(define (let*->nested-lets expression)
(if (not (null? (let*-rest-var-bindings (let*-var-bindings expression))))
(make-let
(list (let*-first-var-binding (let*-var-bindings expression)))
(list (let*->nested-lets
(make-let* (let*-rest-var-bindings (let*-var-bindings expression)) (let*-body expression))
))
)
(make-let
(list (let*-first-var-binding (let*-var-bindings expression)))
(let*-body expression)
)
)
)
(define (make-let* var-bindings body)
(cons 'let* (cons var-bindings body))
)
(define (EVAL-let* expression env)
(display "In proc EVAL-let* to evaluate: ")
(display expression)
(newline)
(EVAL (let*->nested-lets expression) env)
)
; "begin" Expressions
(define (begin? expression) (tagged-list? expression 'begin))
(define (begin-actions expression) (cdr expression))
(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) (EVAL (first-exp exps) env))
(else
(EVAL (first-exp exps) env)
(EVAL-sequence (rest-exps exps) env)
)
)
)
(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))
(define (EVAL-begin expression env)
; (display "In proc EVAL-begin to evaluate: ")
; (display expression)
; (newline)
(EVAL-sequence (begin-actions expression) env)
)
; "cond" Expressions
(define (cond? expression) (tagged-list? expression 'cond))
(define (cond-clauses expression) (cdr expression))
(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 expression)
(expand-cond-clauses (cond-clauses expression))
)
; The following statement:
; (cond ((< a b) exp1)
; ((assoc 'b '((a 1) (b 2))) => single-argument-proc)
; ((< m n) exp2)
; (else exp3))
; is equivalent to:
; (if (< a b)
; exp1
; (if (not (eq? (assoc 'b '((a 1) (b 2))) false))
; (single-argument-proc (assoc 'b '((a 1) (b 2))))
; (if (< m n)
; exp2
; exp3
; )
; )
; )
(define (expand-cond-clauses clauses)
(if (null? clauses)
'false ; no else clause
(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)
)
(if (special-cond-clause-syntax? first)
; <handle the <test> => <recipient> syntax>
(make-if
(list 'not (list 'eq? (cond-predicate first) 'false))
(list (recipient-proc first) (cond-predicate first))
(expand-cond-clauses rest)
)
(make-if
(cond-predicate first)
(sequence->exp (cond-actions first))
(expand-cond-clauses rest)
)
)
)
)
)
)
(define (special-cond-clause-syntax? clause)
(eq? (car (cdr clause)) `=>)
)
(define (recipient-proc clause)
(caddr clause)
)
(define (EVAL-cond expression env)
(display "In proc EVAL-cond to evaluate: ")
(display expression)
(newline)
(EVAL (cond->if expression) env)
)
; "and" Expressions
(define (and-clauses expression) (cdr expression))
; Expression is of the form: (and exp1 exp2 .... expn)
; This expression can be re-written as:
; (if exp1
; (if exp2
; (if exp3
; ...
; ... (if expn
; true
; false
; )
; )
; false
; )
; false
; )
(define (and->if expression)
(expand-and-clauses (and-clauses expression))
)
(define (expand-and-clauses clauses)
(define (last-and-clause? clauses)
(if (null? (cdr clauses))
true
false
)
)
(cond
((null? clauses) null)
((last-and-clause? clauses)
(make-if
(car clauses) ;predicate
'true
'false
)
)
(else
(make-if
(car clauses) ;predicate
(expand-and-clauses (cdr clauses)) ;consequent
'false ;alternative
)
)
)
)
(define (EVAL-and expression env)
(display "In proc EVAL-and to evaluate: ")
(display expression)
(newline)
(display "AND expression in IF form:")
(newline)
(display (and->if expression))
(newline)
(EVAL (and->if expression) env)
)
; "or" Expressions
(define (or-clauses expression) (cdr expression))
; Expression is of the form: (or exp1 exp2 .... expn)
; This expression can be re-written as:
; (if exp1
; true
; (if exp2
; true
; (if exp3
; ...
; ... (if expn
; true
; false
; )
; )
; )
; )
(define (or->if expression)
(expand-or-clauses (or-clauses expression))
)
(define (expand-or-clauses clauses)
(define (last-or-clause? clauses)
(if (null? (cdr clauses))
true
false
)
)
(cond
((null? clauses) null)
((last-or-clause? clauses)
(make-if
(car clauses) ;predicate
'true
'false
)
)
(else
(make-if
(car clauses) ;predicate
'true ;consequent
(expand-or-clauses (cdr clauses)) ;alternative
)
)
)
)
(define (EVAL-or expression env)
(display "In proc EVAL-or to evaluate: ")
(display expression)
(newline)
(display "OR expression in IF form:")
(newline)
(display (or->if expression))
(newline)
(EVAL (or->if expression) env)
)
; do blocks
(define (EVAL-do expression env)
(cond
((do-while? expression) (EVAL-do-while expression env))
((do-until? expression) (EVAL-do-until expression env))
(else
(error "Invalid do expression: " expression)
)
)
)
; do-while blocks
; The 'do-while' construct can be as follows:
;
; (do
; (<one or more statements>)
; while (condition)
; )
;
(define (do-while? expression)
(and
(tagged-list? expression 'do)
(eq? (last-but-one-term expression) 'while)
)
)
(define (do-while-statement-block expression)
(define (statement-block expression)
(if (not (eq? (car expression) 'while))
(cons (car expression) (statement-block (cdr expression)))
null
)
)
(statement-block (cdr expression))
)
(define (do-while-condition expression)
(define (condition expression)
(if (eq? (car expression) 'while)
(if (not (pair? (cdr expression)))
(error "Invalid do-while block: No terminating condition found")
(cadr expression)
)
(condition (cdr expression))
)
)
(condition (cdr expression))
)
(define (do-while->combination expression)
; Use the while block construct to convert it as follows:
; (begin
; <statements>
; (while (condition)
; <statements>
; )
; )
(make-begin
(append
(do-while-statement-block expression)
(list
(make-while
(do-while-condition expression)
(do-while-statement-block expression)
)
)
)
)
)
(define (EVAL-do-while expression env)
; (display "In proc EVAL-do-while to evaluate: ")
; (display expression)
; (newline)
(display "EVAL-do-while converted ")
(display expression)
(display " to: ")
(newline)
(display (do-while->combination expression))
(newline)
(EVAL (do-while->combination expression) env)
)
; do-until blocks
; The 'do-until' construct can be as follows:
;
; (do
; (<one or more statements>)
; until (condition)
; )
;
(define (do-until? expression)
(and
(tagged-list? expression 'do)
(eq? (last-but-one-term expression) 'until)
)
)
(define (do-until-statement-block expression)
(define (statement-block expression)
(if (not (eq? (car expression) 'until))
(cons (car expression) (statement-block (cdr expression)))
null
)
)
(statement-block (cdr expression))
)
(define (do-until-condition expression)
(define (condition expression)
(if (eq? (car expression) 'until)
(if (not (pair? (cdr expression)))
(error "Invalid do-until block: No terminating condition found")
(cadr expression)
)
(condition (cdr expression))
)
)
(condition (cdr expression))
)
(define (do-until->combination expression)
; Use the while block construct to convert it as follows:
; (begin
; <statements>
; (while (not (condition))
; <statements>
; )
; )
(make-begin
(append
(do-until-statement-block expression)
(list
(make-while
(list 'not (do-until-condition expression))
(do-until-statement-block expression)
)
)
)
)
)
(define (EVAL-do-until expression env)
; (display "In proc EVAL-do-until to evaluate: ")
; (display expression)
; (newline)
(display "EVAL-do-until converted ")
(display expression)
(display " to: ")
(newline)
(display (do-until->combination expression))
(newline)
(EVAL (do-until->combination expression) env)
)
; for blocks
; The 'for' construct can be as follows:
;
; (for (count-var <start>) (count-var <end>) inc
; (<one or more statements>)
; )
;
(define (for? expression) (tagged-list? expression 'for))
(define (for-count-var expression)
(caadr expression)
)
(define (for-count-start expression)
(cadr (cadr expression))
)
(define (for-count-end expression)
(cadr (caddr expression))
)
(define (for-inc-proc expression)
(cadddr expression)
)
(define (for-statement-block expression)
(cddddr expression)
)
(define (for->combination expression)
; The derived expression for this would be:
;
; (begin
; (define count-var <start>)
; (define (for-block)
; (if (<= count-var <end>)
; (begin
; <statements>
; (set! count-var (inc count-var))
; (for-block)
; )
; 'done
; )
; )
; (for-block)
; )
;
; which is the same as:
;
; (begin
; (define count-var <start>)
; (define for-block
; (lambda ()
; (if (<= count-var <end>)
; (begin
; <statements>
; (set! count-var (inc count-var))
; (for-block)
; )
; 'done
; )
; )
; )
; (for-block)
; )
;
; where the variable 'count-var' is available for use inside the statement block and
; 'inc' is a one-argument proc that increments what is supplied to it. The user of
; the 'for' construct must supply a definition for inc
(make-begin
(list ; 3 items
(make-definition
(for-count-var expression)
(for-count-start expression)
)
(make-definition
'for-block
(make-lambda
null
(list
(make-if
(list '<= (for-count-var expression) (for-count-end expression))
(make-begin
(append
(for-statement-block expression)
(list
(make-assignment
(for-count-var expression)
(list (for-inc-proc expression) (for-count-var expression))
)
'(for-block)
)
)
)
''done
)
)
)
)
'(for-block)
)
)
)
(define (EVAL-for expression env)
; (display "In proc EVAL-for to evaluate: ")
; (display expression)
; (newline)
(display "EVAL-for converted ")
(display expression)
(display " to: ")
(newline)
(display (for->combination expression))
(newline)
(EVAL (for->combination expression) env)
)
; while blocks
; The 'while' construct can be as follows:
;
; (while (condition)
; <one or more statements>
; )
(define (while? expression) (tagged-list? expression 'while))
(define (while-statement-block expression)
(cddr expression)
)
(define (while-condition expression)
(cadr expression)
)
(define (while->combination expression)
; The derived expression for this would be:
;
; (define (while-block)
; (if (condition)
; (begin
; <statements>
; (while-block)
; )
; 'done
; )
; )
; (while-block)
;
; which is the same as:
;
; (define while-block
; (lamdba ()
; (if (condition)
; (begin
; <statements>
; (while-block)
; )
; 'done
; )
; )
; )
; (while-block)
(make-begin
(list
(make-definition
'while-block
(make-lambda
null
(list
(make-if
(while-condition expression)
(make-begin
(append
(while-statement-block expression)
(list '(while-block))
)
)
''done
)
)
)
)
'(while-block)
)
)
)
(define (make-while condition statements)
(cons 'while (cons condition statements))
)
(define (EVAL-while expression env)
; (display "In proc EVAL-while to evaluate: ")
; (display expression)
; (newline)
(display "EVAL-while converted ")
(display expression)
(display " to: ")
(newline)
(display (while->combination expression))
(newline)
(EVAL (while->combination expression) env)
)
; Compound Procedures
(define (application? expression) (pair? expression))
(define (operator expression) (car expression))
(define (operands expression) (cdr expression))
(define (no-operands? ops) (null? ops))
(define (first-operand ops) (car ops))
(define (rest-operands ops) (cdr ops))
(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))
; Primitive Procedures Support
(define (primitive-procedure? proc)
(tagged-list? proc 'primitive)
)
(define (primitive-implementation proc) (cadr proc))
(define (apply-primitive-procedure proc args)
; The following 'apply' proc is the underlying Racket apply
; (display "Applying primitive proc: ")
; (display proc)
; (newline)
(apply
(primitive-implementation proc)
args
)
)
(define primitive-procedures
(list
(list 'car car)
(list 'cdr cdr)
(list 'cadr cadr)
(list 'cons cons)
(list 'not not)
(list 'eq? eq?)
(list 'null? null?)
(list 'display display)
(list 'newline newline)
(list 'assoc assoc)
(list 'void void)