#lang sicp (#%require (only racket/base print-as-expression print-mpair-curly-braces)) (print-as-expression #f) (print-mpair-curly-braces #f) ;; Chapter 5 ;; Computing with Register Machines ;; 5.2 ;; A Register-Machine Simulator #| 5.7 |# (#%provide expt-controller) (define expt-controller '(controller (assign continue (label expt-done)) expt-loop (test (op =) (reg n) (const 0)) (branch (label base-case)) (save continue) (save n) (assign n (op -) (reg n) (const 1)) (assign continue (label after-expt)) (goto (label expt-loop)) after-expt (restore n) (restore continue) (assign val (op *) (reg b) (reg val)) (goto (reg continue)) base-case (assign val (const 1)) (goto (reg continue)) expt-done)) (#%provide expt-iter-controller) (define expt-iter-controller '(controller (assign counter (reg n)) (assign product (const 1)) test-counter (test (op =) (reg counter) (const 0)) (branch (label expt-done)) (assign counter (op -) (reg counter) (const 1)) (assign product (op *) (reg b) (reg product)) (goto (label test-counter)) expt-done)) (#%provide test-expt) (define (test-expt) (let ((expt-machine (make-machine '(n b val continue) (list (list '- -) (list '* *) (list '= =)) expt-controller))) (set-register-contents! expt-machine 'b 5) (set-register-contents! expt-machine 'n 4) (start expt-machine) (get-register-contents expt-machine 'val))) (#%provide test-expt-iter) (define (test-expt-iter) (let ((expt-machine (make-machine '(n b product counter) (list (list '- -) (list '* *) (list '= =)) expt-iter-controller))) (set-register-contents! expt-machine 'b 10) (set-register-contents! expt-machine 'n 4) (start expt-machine) (get-register-contents expt-machine 'product))) ;; The Machine Model (#%provide make-register) (define (make-register name) (let ((contents '*unassigned*)) (define (dispatch message) (cond ((eq? message 'get) contents) ((eq? message 'set) (lambda (value) (set! contents value))) (else (error "Unknown request -- REGISTER" message)))) dispatch)) (#%provide get-contents) (define (get-contents register) (register 'get)) (#%provide set-contents!) (define (set-contents! register value) ((register 'set) value)) (#%provide make-stack) (define (make-stack) (let ((s '())) (define (push x) (set! s (cons x s))) (define (pop) (if (null? s) (error "Empty stack -- POP") (let ((top (car s))) (set! s (cdr s)) top))) (define (initialize) (set! s '()) 'done) (define (dispatch message) (cond ((eq? message 'push) push) ((eq? message 'pop) (pop)) ((eq? message 'initialize) (initialize)) (else (error "Unknown request -- STACK" message)))) dispatch)) (#%provide pop) (define (pop stack) (stack 'pop)) (#%provide push) (define (push stack value) ((stack 'push) value)) (define (make-instruction text) (cons text '())) (define (instruction-text inst) (car inst)) (define (instruction-execution-proc inst) (cdr inst)) (define (set-instruction-execution-proc! inst proc) (set-cdr! inst proc)) (#%provide make-new-machine) (define (make-new-machine) (let ((pc (make-register 'pc)) (flag (make-register 'flag)) (stack (make-stack)) (the-instruction-sequence '())) (let ((the-ops (list (list 'initialize-stack (lambda () (stack 'initialize))))) (register-table (list (list 'pc pc) (list 'flag flag)))) (define (allocate-register name) (if (assoc name register-table) (error "Multiply-defined register: " name) (set! register-table (cons (list name (make-register name)) register-table))) 'register-allocated) (define (lookup-register name) (let ((val (assoc name register-table))) (if val (cadr val) (error "Unknown register:" name)))) (define (execute) (let ((insts (get-contents pc))) (if (null? insts) 'done (begin ((instruction-execution-proc (car insts))) (execute))))) (define (dispatch message) (cond ((eq? message 'start) (set-contents! pc the-instruction-sequence) (execute)) ((eq? message 'install-instruction-sequence) (lambda (seq) (set! the-instruction-sequence seq))) ((eq? message 'allocate-register) allocate-register) ((eq? message 'get-register) lookup-register) ((eq? message 'install-operations) (lambda (ops) (set! the-ops (append the-ops ops)))) ((eq? message 'stack) stack) ((eq? message 'operations) the-ops) (else (error "Unknown request -- MACHINE" message)))) dispatch))) (#%provide start) (define (start machine) (machine 'start)) (define (get-register machine reg-name) ((machine 'get-register) reg-name)) (#%provide get-register-contents) (define (get-register-contents machine register-name) (get-contents (get-register machine register-name))) (#%provide set-register-contents!) (define (set-register-contents! machine register-name value) (set-contents! (get-register machine register-name) value) 'done) (#%provide make-machine) (define (make-machine register-names ops controller-text) (let ((machine (make-new-machine))) (for-each (lambda (register-name) ((machine 'allocate-register) register-name)) register-names) ((machine 'install-operations) ops) ((machine 'install-instruction-sequence) (assemble controller-text machine)) machine)) ;; The Assembler (define (make-label-entry label-name insts) (cons label-name insts)) (#%provide lookup-label) (define (lookup-label labels label-name) (let ((val (assoc label-name labels))) (if val (cdr val) (error "Undefined label -- ASSEMBLE" label-name)))) (#%provide extract-labels) (define (extract-labels text receive) (if (null? text) (receive '() '()) (extract-labels (cdr text) (lambda (insts labels) (let ((next-inst (car text))) (if (symbol? next-inst) (if (assoc next-inst labels) (error "Duplicate label -- ASSEMBLE" next-inst) (receive insts (cons (make-label-entry next-inst insts) labels))) (receive (cons (make-instruction next-inst) insts) labels))))))) (define (update-insts! insts labels machine) (let ((pc (get-register machine 'pc)) (flag (get-register machine 'flag)) (stack (machine 'stack)) (ops (machine 'operations))) (for-each (lambda (inst) (set-instruction-execution-proc! inst (make-execution-procedure (instruction-text inst) labels machine pc flag stack ops))) insts))) (define (assemble controller-text machine) (extract-labels controller-text (lambda (insts labels) (update-insts! insts labels machine) insts))) #| 5.8 |# (#%provide ambiguous-labels) (define ambiguous-labels '(start (goto (label here)) here (assign a (const 3)) (goto (label there)) here (assign a (const 4)) (goto (label there)) there)) #| (if (assoc next-inst labels) |# #| (error "Duplicate label -- ASSEMBLE" next-inst) |# #| (receive |# #| insts |# #| (cons |# #| (make-label-entry next-inst insts) |# #| labels))) |# ;; Generating Execution Procedures for Instructions (define (make-execution-procedure inst labels machine pc flag stack ops) (cond ((eq? (car inst) 'assign) (make-assign inst machine labels ops pc)) ((eq? (car inst) 'test) (make-test inst machine labels ops flag pc)) ((eq? (car inst) 'branch) (make-branch inst machine labels flag pc)) ((eq? (car inst) 'goto) (make-goto inst machine labels pc)) ((eq? (car inst) 'save) (make-save inst machine stack pc)) ((eq? (car inst) 'restore) (make-restore inst machine stack pc)) ((eq? (car inst) 'perform) (make-perform inst machine labels ops pc)) (else (error "Unknown instruction type -- ASSEMBLE" inst)))) (define (make-assign inst machine labels operations pc) (let ((target (get-register machine (assign-reg-name inst))) (value-exp (assign-value-exp inst))) (let ((value-proc (if (operation-exp? value-exp) (make-operation-exp value-exp machine labels operations) (make-primitive-exp (car value-exp) machine labels)))) (lambda () (set-contents! target (value-proc)) (advance-pc pc))))) (define (assign-reg-name assign-instruction) (cadr assign-instruction)) (define (assign-value-exp assign-instruction) (cddr assign-instruction)) (define (advance-pc pc) (set-contents! pc (cdr (get-contents pc)))) (define (make-test inst machine labels operations flag pc) (let ((condition (test-condition inst))) (if (operation-exp? condition) (let ((condition-proc (make-operation-exp condition machine labels operations))) (lambda () (set-contents! flag (condition-proc)) (advance-pc pc))) (error "Bad TEST instruction -- ASSEMBLE" inst)))) (define (test-condition test-instruction) (cdr test-instruction)) (define (make-branch inst machine labels flag pc) (let ((dest (branch-dest inst))) (if (label-exp? dest) (let ((insts (lookup-label labels (label-exp-label dest)))) (lambda () (if (get-contents flag) (set-contents! pc insts) (advance-pc pc)))) (error "Bad BRANCH instruction -- ASSEMBLE" inst)))) (define (branch-dest branch-instruction) (cadr branch-instruction)) (define (make-goto inst machine labels pc) (let ((dest (goto-dest inst))) (cond ((label-exp? dest) (let ((insts (lookup-label labels (label-exp-label dest)))) (lambda () (set-contents! pc insts)))) ((register-exp? dest) (let ((reg (get-register machine (register-exp-reg dest)))) (lambda () (set-contents! pc (get-contents reg))))) (else (error "Bad GOTO instruction -- ASSEMBLE" inst))))) (define (goto-dest goto-instruction) (cadr goto-instruction)) (define (make-save inst machine stack pc) (let ((reg (get-register machine (stack-inst-reg-name inst)))) (lambda () (push stack (get-contents reg)) (advance-pc pc)))) (define (make-restore inst machine stack pc) (let ((reg (get-register machine (stack-inst-reg-name inst)))) (lambda () (set-contents! reg (pop stack)) (advance-pc pc)))) (define (stack-inst-reg-name stack-instruction) (cadr stack-instruction)) (define (make-perform inst machine labels operations pc) (let ((action (perform-action inst))) (if (operation-exp? action) (let ((action-proc (make-operation-exp action machine labels operations))) (lambda () (action-proc) (advance-pc pc))) (error "Bad PERFORM instruction -- ASSEMBLE" inst)))) (define (perform-action inst) (cdr inst)) (define (make-primitive-exp exp machine labels) (cond ((constant-exp? exp) (let ((c (constant-exp-value exp))) (lambda () c))) ((label-exp? exp) (let ((insts (lookup-label labels (label-exp-label exp)))) (lambda () insts))) ((register-exp? exp) (let ((r (get-register machine (register-exp-reg exp)))) (lambda () (get-contents r)))) (else (error "Unknown expression type -- ASSEMBLE" exp)))) (define (tagged-list? exp tag) (if (pair? exp) (eq? (car exp) tag) false)) (define (register-exp? exp) (tagged-list? exp 'reg)) (define (register-exp-reg exp) (cadr exp)) (define (constant-exp? exp) (tagged-list? exp 'const)) (define (constant-exp-value exp) (cadr exp)) (define (label-exp? exp) (tagged-list? exp 'label)) (define (label-exp-label exp) (cadr exp)) (define (make-operation-exp exp machine labels operations) (let ((op (lookup-prim (operation-exp-op exp) operations)) (aprocs (map (lambda (e) (make-primitive-exp e machine labels)) (operation-exp-operands exp)))) (lambda () (apply op (map (lambda (p) (p)) aprocs))))) (define (operation-exp? exp) (and (pair? exp) (tagged-list? (car exp) 'op))) (define (operation-exp-op operation-exp) (cadr (car operation-exp))) (define (operation-exp-operands operation-exp) (cdr operation-exp)) (define (lookup-prim symbol operations) (let ((val (assoc symbol operations))) (if val (cadr val) (error "Unknown operation -- ASSEMBLE" symbol)))) #| 5.9 |# #| 5.10 |# #| 5.11 |# #| 5.12 |# #| 5.13 |# ;; Monitoring Machine Performance #| 5.14 |# #| 5.15 |# #| 5.16 |# #| 5.17 |# #| 5.18 |# #| 5.19 |#