; Copyright (c) 1993-1999 by Richard Kelsey and Jonathan Rees. See file COPYING. ; Rudimentary type reconstruction, hardly worthy of the name. ; Currently, NODE-TYPE is called in two places. One is to determine ; the type of the right-hand side of a DEFINE for a variable that is ; never assigned, so uses of the variable can be checked later. The ; other is when compiling a call, to check types of arguments and ; produce warning messages. ; This is heuristic, to say the least. It's not clear what the right ; interface or formalism is for Scheme; I'm still experimenting. ; Obviously we can't do Hindley-Milner inference. Not only does ; Scheme have subtyping, but it also has dependent types up the wazoo. ; For example, the following is perfectly correct Scheme: ; ; (define (foo x y) (if (even? x) (car y) (vector-ref y 3))) (define (node-type node) (reconstruct node 'fast any-values-type)) (define (reconstruct-type node env) (reconstruct node '() any-values-type)) (define (reconstruct node constrained want-type) ((operator-table-ref reconstructors (node-operator-id node)) node constrained want-type)) (define (examine node constrained want-type) (if (pair? constrained) (reconstruct node constrained want-type) want-type)) (define reconstructors (make-operator-table (lambda (node constrained want-type) (reconstruct-call (node-form node) constrained want-type)))) (define (define-reconstructor name type proc) (operator-define! reconstructors name type proc)) (define-reconstructor 'lambda syntax-type (lambda (node constrained want-type) (reconstruct-lambda node constrained want-type #f))) (define-reconstructor 'flat-lambda syntax-type (lambda (node constrained want-type) (reconstruct-lambda node constrained want-type #f))) (define (reconstruct-lambda node constrained want-type called?) (if (eq? constrained 'fast) any-procedure-type (let* ((form (node-form node)) (want-result (careful-codomain want-type)) (formals (cadr form)) (alist (map (lambda (node) (cons node value-type)) (normalize-formals formals))) (cod (reconstruct (last form) ; works for normal and flat (if called? (append alist constrained) alist) want-result))) (procedure-type (if (n-ary? formals) any-values-type ;lose (make-some-values-type (map cdr alist))) cod #t)))) (define (careful-codomain proc-type) (if (procedure-type? proc-type) (procedure-type-codomain proc-type) any-values-type)) (define-reconstructor 'name 'leaf (lambda (node constrained want-type) (if (eq? constrained 'fast) (reconstruct-name node) (let ((z (assq node constrained))) (if z (let ((type (meet-type (cdr z) want-type))) (begin (set-cdr! z type) type)) (reconstruct-name node)))))) (define (reconstruct-name node) (let ((probe (node-ref node 'binding))) (if (binding? probe) (let ((type (binding-type probe))) (cond ((variable-type? type) (variable-value-type type)) ((subtype? type value-type) type) (else value-type))) value-type))) (define-reconstructor 'call 'internal (lambda (node constrained want-type) (let ((form (node-form node))) (cond ((proc->reconstructor (car form)) => (lambda (recon) (recon (cdr form) constrained want-type))) (else (reconstruct-call form constrained want-type)))))) ; See if PROC is a primop or a variable bound to a primop, and then return ; that primops reconstructor, if it has one. (define (proc->reconstructor proc) (cond ((name-node? proc) (let ((probe (node-ref proc 'binding))) (if (and probe (binding? probe) (primop? (binding-static probe))) (table-ref primop-reconstructors (binding-static probe)) #f))) ((literal-node? proc) (if (primop? (node-form proc)) (table-ref primop-reconstructors (node-form proc)) #f)) (else #f))) (define (reconstruct-call form constrained want-type) (let* ((want-op-type (procedure-type any-arguments-type want-type #f)) (op-type (if (lambda-node? (car form)) (reconstruct-lambda (car form) constrained want-op-type #t) (reconstruct (car form) constrained want-op-type))) (args (cdr form)) (lose (lambda () (for-each (lambda (arg) (examine arg constrained value-type)) args)))) (if (procedure-type? op-type) (begin (if (restrictive? op-type) (let loop ((args args) (dom (procedure-type-domain op-type))) (if (not (or (null? args) (empty-rail-type? dom))) (begin (examine (car args) constrained (head-type dom)) (loop (cdr args) (tail-type dom))))) (lose)) (procedure-type-codomain op-type)) (begin (lose) any-values-type)))) (define-reconstructor 'literal 'leaf (lambda (node constrained want-type) (constant-type (node-form node)))) (define-reconstructor 'quote syntax-type (lambda (node constrained want-type) (constant-type (cadr (node-form node))))) (define-reconstructor 'unspecific #f (lambda (node constrained wnat-type) unspecific-type)) (define-reconstructor 'unassigned #f (lambda (node constrained wnat-type) unspecific-type)) (define-reconstructor 'if syntax-type (lambda (node constrained want-type) (let ((form (node-form node))) (examine (cadr form) constrained value-type) ;; Fork off two different constrain sets (let ((con-alist (fork-constraints constrained)) (alt-alist (fork-constraints constrained))) (let ((con-type (reconstruct (caddr form) con-alist want-type)) (alt-type (reconstruct (cadddr form) alt-alist want-type))) (if (pair? constrained) (for-each (lambda (c1 c2 c) (set-cdr! c (join-type (cdr c1) (cdr c2)))) con-alist alt-alist constrained)) (join-type con-type alt-type)))))) (define (fork-constraints constrained) (if (pair? constrained) (map (lambda (x) (cons (car x) (cdr x))) constrained) constrained))- (define-reconstructor 'begin syntax-type (lambda (node constrained want-type) ;; This is unsound - there might be a throw out of some subform ;; other than the final one. (do ((forms (cdr (node-form node)) (cdr forms))) ((null? (cdr forms)) (reconstruct (car forms) constrained want-type)) (examine (car forms) constrained any-values-type)))) (define-reconstructor 'set! syntax-type (lambda (node constrained want-type) (examine (caddr (node-form node)) constrained value-type) unspecific-type)) (define-reconstructor 'letrec syntax-type (lambda (node constrained want-type) (let ((form (node-form node))) (if (eq? constrained 'fast) (reconstruct (caddr form) 'fast want-type) (let ((alist (map (lambda (spec) (cons (car spec) (reconstruct (cadr spec) constrained value-type))) (cadr form)))) (reconstruct (caddr form) (append alist constrained) want-type)))))) (define-reconstructor 'loophole syntax-type (lambda (node constrained want-type) (let ((args (cdr (node-form node)))) (examine (cadr args) constrained any-values-type) (car args)))) (define (node->type node) (if (node? node) (let ((form (node-form node))) (if (pair? form) (map node->type form) (desyntaxify form))) (desyntaxify node))) (define-reconstructor 'define syntax-type (lambda (node constrained want-type) ':definition)) (define-reconstructor 'lap syntax-type (lambda (node constrained want-type) any-procedure-type)) (define name-node? (node-predicate 'name 'leaf)) (define lambda-node? (node-predicate 'lambda syntax-type)) (define literal-node? (node-predicate 'literal 'leaf)) ; -------------------- ; Primops. ; ; Most primops just have the types assigned in comp-prim.scm. (define primop-reconstructors (make-symbol-table)) (define (define-primop-reconstructor name proc) (table-set! primop-reconstructors name proc)) (define-reconstructor 'primitive-procedure syntax-type (lambda (node constrained want-type) (primop-type (get-primop (cadr (node-form node)))))) (define-primop-reconstructor 'values (lambda (args constrained want-type) (make-some-values-type (map (lambda (node) (meet-type (reconstruct node constrained value-type) value-type)) args)))) (define-primop-reconstructor 'call-with-values (lambda (args constrained want-type) (if (= (length args) 2) (let ((thunk-type (reconstruct (car args) constrained (procedure-type empty-rail-type any-values-type #f)))) (careful-codomain (reconstruct (cadr args) constrained (procedure-type (careful-codomain thunk-type) any-values-type #f)))) error-type))) (define (reconstruct-apply args constrained want-type) (if (not (null? args)) (let ((proc-type (reconstruct (car args) constrained any-procedure-type))) (for-each (lambda (arg) (examine arg constrained value-type)) (cdr args)) (careful-codomain proc-type)) error-type)) (define-primop-reconstructor 'apply reconstruct-apply) (define-primop-reconstructor 'primitive-catch reconstruct-apply) (define (constant-type x) (cond ((number? x) (meet-type (if (exact? x) exact-type inexact-type) (cond ((integer? x) integer-type) ((rational? x) rational-type) ((real? x) real-type) ((complex? x) complex-type) (else number-type)))) ((boolean? x) boolean-type) ((pair? x) pair-type) ((string? x) string-type) ((char? x) char-type) ((null? x) null-type) ((symbol? x) symbol-type) ((vector? x) vector-type) (else value-type)))