#lang scheme (require rnrs/base-6) (require rnrs/mutable-pairs-6) (define (eval exp env) (cond ((self-evaluating? exp) exp) ;自求值 ((variable? exp) (lookup-variable-value exp env)) ;变量 ((quoted? exp) (text-of-quotation exp)) ;引用 ((assignment? exp) (eval-assignment exp env)) ;赋值 ((definition? exp) (eval-definition exp env)) ;定义 ((if? exp) (eval-if exp env)) ;if语句 ((lambda? exp) ;lambda (make-procedure (lambda-parameters exp) (lambda-body exp) env)) ((begin? exp) ;begin (eval-sequence (begin-actions exp) env)) ((cond? exp) (eval(cond->if exp) env)) ;cond ((application? exp) (apply (eval (operator exp) env) (list-of-values (operands exp) env))) (else (error "Unknown expression type --EVAL" exp)) )) (define (apply procedure arguments) (cond ((primitive-procedure? procedure) (apply-primitive-procedure procedure arguments)) ((compound-procedure? procedure) (eval-sequence (procedure-body procedure) (extend-environment (procedure-parameters procedure) arguments (procedure-environment procedure)))) (else (error "Unknown procedure type --APPLY" procedure)) )) (define (list-of-values exps env) ;以组合式的运算对象为参数,求值各个运算对象,返回这些值的表 (if (no-operands? exps) '() (cons (eval (first-operand exps) env) (list-of-values (rest-operands exps) env) ) )) (define (eval-if exp env) ;求值-if语句 (if (true? (eval (if-predicate exp) env)) ;条件为真? (eval (if-consequent exp) env) (eval (if-alternative exp) env))) (define (eval-sequence exps env) ;求值-过程体里的表达式序列 (cond ((last-exp? exps exps) (eval (first-exp exps) env)) (else (eval (first-exp exps) env) (eval-sequence (rest-exps exps) env)) )) (define (eval-assignment exp env) ;求值-变量赋值 (set-variable-value! (assignment-variable exp) ;取得变量 (eval (assignment-value exp) env) ;计算值 env) 'ok) (define (eval-definition exp env) ;求值-变量定义 (define-variable! (definition-variable exp) (eval (definition-value exp) env)) 'ok) (define (self-evaluating? exp) ;自求值? (cond ((number? exp) true) ((string? exp) true) (else false) )) (define (variable? exp) ;变量? (symbol? exp)) (define (quoted? exp) ;引号表达式? (tagged-list? exp 'quote)) (define (text-of-quotation exp) (cadr exp)) ;获取引号表达式引用的值 (define (tagged-list? exp tag) ;获取list的tag (if (pair? exp) (eq? (car exp) tag) false)) (define (assignment? exp) ;赋值语句? (tagged-list? exp 'set!)) (define (assignment-variable exp) (cadr exp)) ;获取赋值表达式的被赋值变量 (define (assignment-value exp) (caddr exp)) ;获取赋值表达式要赋的值 (define (definition? exp) (tagged-list? exp 'define)) ;定义语句? (define (definition-variable exp) ;获取定义式的变量 (if (symbol? (cadr exp)) (cadr exp) (caddr exp))) (define (definition-value exp) ;获取定义式的值 (if (symbol? (cadr exp)) ;若是是变量,说明为(define <var> <value>)形式 (caddr exp) (make-lambda (cdadr exp) ;lambda参数 (cddr exp) ;lambda函数体 ))) (define (lambda? exp) (tagged-list? exp 'lambda)) ;lambda? (define (lambda-parameters exp) (cadr exp)) ;lambda的参数 (define (lambda-body exp) (caddr exp)) ;lambda的函数体 (define (make-lambda parameters body) ;lambda构造函数 (cons 'lambda (cons parameters body))) (define (if? exp) (tagged-list? exp 'if)) (define (if-predicate exp) (cadr exp)) ;获取if语句的条件式 (define (if-consequent exp) (caddr exp)) ;获取if为真时的表达式 (define (if-alternative exp) (if (not (null? (cdddr exp))) ;if为假时是否存在表达式 (cadddr exp) ;存在 'false)) ;不存在,返回'false (define (make-if predicate consequent alternative) ;if构造函数 (list 'if predicate consequent alternative)) (define (begin? exp) (tagged-list? exp 'begin)) (define (begin-actions exp) (cdr exp)) (define (last-exp? seq) (null? (cdr seq))) ;为list中最后一个exp? (define (first-exp seq) (car seq)) (define (rest-exps seq) (cdr seq)) (define (sequence->exp seq) ;序列转变为一个表达式 (cond ((null? seq) seq) ((last-exp? seq) (first-exp seq)) (else (make-begin seq)) ;将一个表达式序列转变为begin表达式 )) (define (make-begin seq) (cons 'begin seq)) (define (application? exp) (pair? exp)) (define (operator exp) (car exp)) ;(operator <pr1> <pr2> ...) (define (operands exp) (cdr exp)) (define (no-operands? ops) (null? ops)) ;不含有参数? (define (first-operand ops) (car ops)) (define (rest-operands ops) (cdr ops)) (define (cond? exp) (tagged-list? exp 'cond)) (define (cond-clauses exp) (cdr exp)) (define (cond-else-clause? clause) ;是否为cond中的else (eq? (cond-predicates clause) (cdr clause))) (define (cond-predicates clause) (car clause)) ;clause的条件部分 (define (cond-actions clause) (cdr clause)) ;clause的结果部分 (define (cond->if exp) ;cond->if 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-predicates first) (sequence->exp (cond-actions first)) (expand-clauses rest)))))) (define (true? x) (not (eq? x false))) (define (false? x) (eq? x false)) (define (make-procedure parameters body env) ;过程构造 (list 'procedure parameters body env)) (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 (enclosing-environment env) (cdr env)) ;外围环境 (define (first-frame env) (car env)) (define the-empty-environment '()) (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)))) (define (extend-environment vars vals base-env) (if (= (length vars) (length vals)) (cons (make-frame vars vals) base-env) (error "Wrong Num of arguments 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))) ;当前frame无所找变量,则去外围环境寻找 ((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-varialbe! 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)))) (define primitive-procedures ;基本过程 (list (list 'car car) (list 'cdr cdr) (list 'cons cons) (list 'null? null?) (list '+ +) (list 'display display))) (define (primitive-procedure-names) ;获取全部基本过程的名称 (map car primitive-procedures)) (define (primitive-procedure-objects) (map (lambda (proc) (list 'primitive (cadr proc))) primitive-procedures)) (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)))) (define (setup-environment) (let ((initial-env (extend-environment(primitive-procedure-names) (primitive-procedure-objects) the-empty-environment))) (define-variable! 'true true initial-env) (define-variable! 'false false initial-env) )) (define (primitive-procedure? proc) ;为基本过程? (tagged-list? proc 'primitive)) (define (primitive-implementation proc) (cadr proc)) (define (apply-primitive-procedure proc args) ;应用一个基本过程 (apply-in-underlying-scheme (primitive-implementation proc) args)) (define apply-in-underlying-scheme apply) (define input-prompt ";;;M-Eval input:") (define output-prompt ";;; M-Eval value:") (define (drive-loop) ;循环 (prompt-for-input input-prompt) (let ((input (read))) (let ((output (eval input the-global-environment))) (announce-output output-prompt) (user-print output))) (drive-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>)) (display object))) (define the-global-environment (setup-environment)) ;全局环境 (drive-loop)