823 lines
22 KiB
Scheme
823 lines
22 KiB
Scheme
(define-library (scheme base)
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(import (picrin base)
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(only (picrin math)
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abs
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expt
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floor/
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truncate/
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floor
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ceiling
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truncate
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round
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sqrt
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nan?
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infinite?)
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(picrin macro)
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(picrin string)
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(scheme file))
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;; 4.1.2. Literal expressions
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(export quote)
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;; 4.1.4. Procedures
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(export lambda)
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;; 4.1.5. Conditionals
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(export if)
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;; 4.1.6. Assignments
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(export set!)
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;; 4.1.7. Inclusion
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(define-macro include
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(letrec ((read-file
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(lambda (filename)
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(call-with-port (open-input-file filename)
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(lambda (port)
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(let loop ((expr (read port)) (exprs '()))
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(if (eof-object? expr)
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(reverse exprs)
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(loop (read port) (cons expr exprs)))))))))
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(er-macro-transformer
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(lambda (form rename compare)
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(let ((filenames (cdr form)))
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(let ((exprs (apply append (map read-file filenames))))
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`(,(rename 'begin) ,@exprs)))))))
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(export include)
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;; 4.2.1. Conditionals
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(export cond
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case
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else
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=>
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and
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or
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when
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unless)
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;; 4.2.2. Binding constructs
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(export let
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let*
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letrec
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letrec*
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let-values
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let*-values)
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;; 4.2.3. Sequencing
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(export begin)
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;; 4.2.4. Iteration
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(export do)
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;; 4.2.6. Dynamic bindings
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(export make-parameter
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parameterize)
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;; 4.2.7. Exception handling
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(define-syntax (guard-aux reraise . clauses)
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(letrec
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((else?
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(lambda (clause)
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(and (list? clause) (equal? #'else (car clause)))))
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(=>?
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(lambda (clause)
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(and (list? clause) (= (length clause) 3) (equal? #'=> (list-ref clause 1))))))
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(if (null? clauses)
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reraise
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(let ((clause (car clauses))
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(rest (cdr clauses)))
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(cond
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((else? clause)
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#`(begin #,@(cdr clause)))
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((=>? clause)
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#`(let ((tmp #,(list-ref clause 0)))
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(if tmp
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(#,(list-ref clause 2) tmp)
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(guard-aux #,reraise #,@rest))))
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((= (length clause) 1)
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#`(or #,(car clause) (guard-aux #,reraise #,@rest)))
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(else
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#`(if #,(car clause)
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(begin #,@(cdr clause))
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(guard-aux #,reraise #,@rest))))))))
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(define-syntax (guard formal . body)
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(let ((var (car formal))
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(clauses (cdr formal)))
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#`((call/cc
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(lambda (guard-k)
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(with-exception-handler
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(lambda (condition)
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((call/cc
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(lambda (handler-k)
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(guard-k
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(lambda ()
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(let ((#,var condition))
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(guard-aux
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(handler-k
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(lambda ()
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(raise-continuable condition)))
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#,@clauses))))))))
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(lambda ()
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(call-with-values
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(lambda () #,@body)
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(lambda args
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(guard-k
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(lambda ()
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(apply values args))))))))))))
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(export guard)
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;; 4.2.8. Quasiquotation
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(export quasiquote
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unquote
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unquote-splicing)
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;; 4.3.1. Binding constructs for syntactic keywords
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(export let-syntax
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letrec-syntax)
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;; 4.3.2 Pattern language
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(define (succ n)
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(+ n 1))
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(define (pred n)
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(if (= n 0)
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0
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(- n 1)))
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(define (every? args)
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(if (null? args)
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#t
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(if (car args)
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(every? (cdr args))
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#f)))
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(define (filter f list)
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(if (null? list)
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'()
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(if (f (car list))
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(cons (car list)
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(filter f (cdr list)))
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(filter f (cdr list)))))
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(define (take-tail n list)
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(let drop ((n (- (length list) n)) (list list))
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(if (= n 0)
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list
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(drop (- n 1) (cdr list)))))
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(define (drop-tail n list)
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(let take ((n (- (length list) n)) (list list))
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(if (= n 0)
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'()
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(cons (car list) (take (- n 1) (cdr list))))))
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(define (map-keys f assoc)
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(map (lambda (s) `(,(f (car s)) . ,(cdr s))) assoc))
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(define (map-values f assoc)
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(map (lambda (s) `(,(car s) . ,(f (cdr s)))) assoc))
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;; TODO
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;; - placeholder
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;; - vector
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;; - (... template) pattern
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;; p ::= constant
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;; | var
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;; | (p ... . p) (in input pattern, tail p should be a proper list)
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;; | (p . p)
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(define (compile ellipsis literals rules)
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(define (constant? obj)
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(and (not (pair? obj))
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(not (variable? obj))))
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(define (literal? obj)
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(and (variable? obj)
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(memq obj literals)))
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(define (many? pat)
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(and (pair? pat)
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(pair? (cdr pat))
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(variable? (cadr pat))
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(variable=? (cadr pat) ellipsis)))
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(define (pattern-validator pat) ; pattern -> validator
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(letrec
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((pattern-validator
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(lambda (pat form)
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(cond
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((constant? pat)
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#`(equal? '#,pat #,form))
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((literal? pat)
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#`(and (variable? #,form) (variable=? #'#,pat #,form)))
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((variable? pat)
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#t)
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((many? pat)
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(let ((head #`(drop-tail #,(length (cddr pat)) #,form))
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(tail #`(take-tail #,(length (cddr pat)) #,form)))
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#`(and (list? #,form)
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(>= (length #,form) #,(length (cddr pat)))
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(every? (map (lambda (#,'it) #,(pattern-validator (car pat) 'it)) #,head))
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#,(pattern-validator (cddr pat) tail))))
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((pair? pat)
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#`(and (pair? #,form)
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#,(pattern-validator (car pat) #`(car #,form))
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#,(pattern-validator (cdr pat) #`(cdr #,form))))
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(else
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#f)))))
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(pattern-validator pat 'it)))
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(define (pattern-variables pat) ; pattern -> (freevar)
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(cond
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((constant? pat)
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'())
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((literal? pat)
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'())
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((variable? pat)
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`(,pat))
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((many? pat)
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(append (pattern-variables (car pat))
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(pattern-variables (cddr pat))))
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((pair? pat)
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(append (pattern-variables (car pat))
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(pattern-variables (cdr pat))))))
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(define (pattern-levels pat) ; pattern -> ((var * int))
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(cond
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((constant? pat)
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'())
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((literal? pat)
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'())
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((variable? pat)
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`((,pat . 0)))
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((many? pat)
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(append (map-values succ (pattern-levels (car pat)))
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(pattern-levels (cddr pat))))
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((pair? pat)
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(append (pattern-levels (car pat))
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(pattern-levels (cdr pat))))))
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(define (pattern-selectors pat) ; pattern -> ((var * selector))
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(letrec
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((pattern-selectors
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(lambda (pat form)
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(cond
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((constant? pat)
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'())
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((literal? pat)
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'())
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((variable? pat)
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`((,pat . ,form)))
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((many? pat)
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(let ((head #`(drop-tail #,(length (cddr pat)) #,form))
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(tail #`(take-tail #,(length (cddr pat)) #,form)))
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(let ((envs (pattern-selectors (car pat) 'it)))
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(append
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(map-values (lambda (s) #`(map (lambda (#,'it) #,s) #,head)) envs)
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(pattern-selectors (cddr pat) tail)))))
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((pair? pat)
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(append (pattern-selectors (car pat) #`(car #,form))
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(pattern-selectors (cdr pat) #`(cdr #,form))))))))
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(pattern-selectors pat 'it)))
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(define (template-representation pat levels selectors)
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(cond
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((constant? pat)
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pat)
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((variable? pat)
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(let ((it (assq pat levels)))
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(if it
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(if (= 0 (cdr it))
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(cdr (assq pat selectors))
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(error "unmatched pattern variable level" pat))
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#`(#,'rename '#,pat))))
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((many? pat)
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(letrec*
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((inner-pat
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(car pat))
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(inner-levels
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(map (lambda (s) `(,(car s) . ,(pred (cdr s)))) levels))
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(inner-freevars
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(filter (lambda (v) (assq v levels)) (pattern-variables inner-pat)))
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(inner-vars
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;; select only vars declared with ellipsis
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(filter (lambda (v) (> (cdr (assq v levels)) 0)) inner-freevars))
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(inner-tmps
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(map (lambda (v) #'it) inner-vars))
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(inner-selectors
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;; first env '(map cons ...)' shadows second env 'selectors'
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(append (map cons inner-vars inner-tmps) selectors))
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(inner-rep
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(template-representation inner-pat inner-levels inner-selectors))
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(sorted-selectors
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(map (lambda (v) (assq v selectors)) inner-vars))
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(list-of-selectors
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;; ((a . xs) (b . ys) (c . zs)) -> (xs ys zs)
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(map cdr sorted-selectors)))
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(let ((rep1 #`(map (lambda #,inner-tmps #,inner-rep) #,@list-of-selectors))
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(rep2 (template-representation (cddr pat) levels selectors)))
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#`(append #,rep1 #,rep2))))
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((pair? pat)
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#`(cons #,(template-representation (car pat) levels selectors)
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#,(template-representation (cdr pat) levels selectors)))))
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(define (compile-rule pattern template)
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(let ((levels
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(pattern-levels pattern))
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(selectors
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(pattern-selectors pattern)))
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(template-representation template levels selectors)))
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(define (compile-rules rules)
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(if (null? rules)
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#`(error "unmatch")
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(let ((pattern (car (car rules)))
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(template (cadr (car rules))))
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#`(if #,(pattern-validator pattern)
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#,(compile-rule pattern template)
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#,(compile-rules (cdr rules))))))
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(define (compile rules)
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#`(call-with-current-environment
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(lambda (env)
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(letrec
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((#,'rename (let ((reg (make-register)))
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(lambda (x)
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(let ((y (reg x)))
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(if y
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(cdr y)
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(let ((id (make-identifier x env)))
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(reg x id)
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id)))))))
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(lambda #,'it
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#,(compile-rules rules))))))
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(let ((rules (map-keys cdr rules))) ; TODO: check pattern head is a variable
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(compile rules)))
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(define-syntax (syntax-rules . args)
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(if (list? (car args))
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#`(syntax-rules ... #,@args)
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(let ((ellipsis (car args))
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(literals (car (cdr args)))
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(rules (cdr (cdr args))))
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(compile ellipsis literals rules))))
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(define-syntax (define-auxiliary-syntax var)
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#`(define-macro #,var
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(lambda _
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(error "invalid use of auxiliary syntax" '#,var))))
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(define-auxiliary-syntax _)
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(define-auxiliary-syntax ...)
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(export syntax-rules
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_
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...)
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;; 4.3.3. Signaling errors in macro transformers
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(export syntax-error)
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;; 5.3. Variable definitions
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(export define)
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;; 5.3.3. Multiple-value definitions
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(export define-values)
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;; 5.4. Syntax definitions
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(export define-syntax)
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;; 5.5 Recored-type definitions
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(define-syntax (define-record-constructor type field-alist name . fields)
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(let ((record #'record))
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#`(define (#,name . #,fields)
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(let ((#,record (make-record #,type #,(length field-alist))))
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#,@(map
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(lambda (field) #`(record-set! #,record #,(cdr (assq field field-alist)) #,field))
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fields)
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#,record))))
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(define-syntax (define-record-predicate type name)
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#`(define (#,name obj)
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(and (record? obj)
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(eq? (record-type obj) #,type))))
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(define-syntax (define-record-accessor pred field-alist field accessor)
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#`(define (#,accessor record)
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(if (#,pred record)
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(record-ref record #,(cdr (assq field field-alist)))
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(error (string-append (symbol->string '#,accessor) ": wrong record type") record))))
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(define-syntax (define-record-modifier pred field-alist field modifier)
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#`(define (#,modifier record val)
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(if (#,pred record)
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(record-set! record #,(cdr (assq field field-alist)) val) ;; '#,field
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(error (string-append (symbol->string '#,modifier) ": wrong record type") record))))
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(define-syntax (define-record-field pred field-alist field accessor . modifier-opt)
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(if (null? modifier-opt)
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#`(define-record-accessor #,pred #,field-alist #,field #,accessor)
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#`(begin
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(define-record-accessor #,pred #,field-alist #,field #,accessor)
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(define-record-modifier #,pred #,field-alist #,field #,(car modifier-opt)))))
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(define-syntax (define-record-type name ctor pred . fields)
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(let ((field-alist (let lp ((fds fields) (idx 0) (alst '()))
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(if (null? fds)
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alst
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(lp (cdr fds)
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(+ idx 1)
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(cons
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(cons (if (pair? (car fds)) (car (car fds)) (car fds)) idx)
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alst))))))
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#`(begin
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(define #,name (make-record <record-type> 0))
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(define-record-constructor #,name #,field-alist #,@ctor)
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(define-record-predicate #,name #,pred)
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#,@(map (lambda (field) #`(define-record-field #,pred #,field-alist #,@field)) fields))))
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(export define-record-type)
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;; 6.1. Equivalence predicates
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(export eq?
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eqv?
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equal?)
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;; 6.2. Numbers
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(define complex? number?)
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(define real? number?)
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(define rational? number?)
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(define (integer? o)
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(or (exact? o)
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(and (inexact? o)
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(not (nan? o))
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(not (infinite? o))
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(= o (floor o)))))
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(define (exact-integer? x)
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(and (exact? x)
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(integer? x)))
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(define (zero? x)
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(= x 0))
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(define (positive? x)
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(> x 0))
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(define (negative? x)
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(< x 0))
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(define (even? x)
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(= x (* (exact (floor (/ x 2))) 2)))
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(define (odd? x)
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(not (even? x)))
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(define (min . args)
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(define (min a b)
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(if (< a b) a b))
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(let loop ((args args) (acc +inf.0) (exactp #t))
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(if (null? args)
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(if exactp acc (inexact acc))
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(loop (cdr args) (min (car args) acc) (and (exact? (car args)) exactp)))))
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(define (max . args)
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(define (max a b)
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(if (> a b) a b))
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(let loop ((args args) (acc -inf.0) (exactp #t))
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(if (null? args)
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(if exactp acc (inexact acc))
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(loop (cdr args) (max (car args) acc) (and (exact? (car args)) exactp)))))
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(define (floor-quotient i j)
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(call-with-values (lambda () (floor/ i j))
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(lambda (q r)
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q)))
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(define (floor-remainder i j)
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(call-with-values (lambda () (floor/ i j))
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(lambda (q r)
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r)))
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(define (truncate-quotient i j)
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(call-with-values (lambda () (truncate/ i j))
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(lambda (q r)
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q)))
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(define (truncate-remainder i j)
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(call-with-values (lambda () (truncate/ i j))
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(lambda (q r)
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r)))
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|
(define (gcd . args)
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(define (gcd i j)
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|
(cond
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((> i j) (gcd j i))
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((< i 0) (gcd (- i) j))
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((> i 0) (gcd (truncate-remainder j i) i))
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(else j)))
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(let loop ((args args) (acc 0))
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(if (null? args)
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acc
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(loop (cdr args)
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(gcd acc (car args))))))
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|
|
|
(define (lcm . args)
|
|
(define (lcm i j)
|
|
(/ (abs (* i j)) (gcd i j)))
|
|
(let loop ((args args) (acc 1))
|
|
(if (null? args)
|
|
acc
|
|
(loop (cdr args)
|
|
(lcm acc (car args))))))
|
|
|
|
(define (square x)
|
|
(* x x))
|
|
|
|
(define (exact-integer-sqrt k)
|
|
(let ((s (exact (floor (sqrt k)))))
|
|
(values s (- k (square s)))))
|
|
|
|
(export number?
|
|
complex?
|
|
real?
|
|
rational?
|
|
integer?
|
|
exact?
|
|
inexact?
|
|
exact-integer?
|
|
exact
|
|
inexact
|
|
=
|
|
<
|
|
>
|
|
<=
|
|
>=
|
|
zero?
|
|
positive?
|
|
negative?
|
|
odd?
|
|
even?
|
|
min
|
|
max
|
|
+
|
|
-
|
|
*
|
|
/
|
|
abs
|
|
floor-quotient
|
|
floor-remainder
|
|
floor/
|
|
truncate-quotient
|
|
truncate-remainder
|
|
truncate/
|
|
(rename truncate-quotient quotient)
|
|
(rename truncate-remainder remainder)
|
|
(rename floor-remainder modulo)
|
|
gcd
|
|
lcm
|
|
floor
|
|
ceiling
|
|
truncate
|
|
round
|
|
exact-integer-sqrt
|
|
square
|
|
expt
|
|
number->string
|
|
string->number)
|
|
|
|
;; 6.3. Booleans
|
|
|
|
(export boolean?
|
|
boolean=?
|
|
not)
|
|
|
|
;; 6.4 Pairs and lists
|
|
|
|
(export pair?
|
|
cons
|
|
car
|
|
cdr
|
|
set-car!
|
|
set-cdr!
|
|
null?
|
|
caar
|
|
cadr
|
|
cdar
|
|
cddr
|
|
list?
|
|
make-list
|
|
list
|
|
length
|
|
append
|
|
reverse
|
|
list-tail
|
|
list-ref
|
|
list-set!
|
|
list-copy
|
|
memq
|
|
memv
|
|
member
|
|
assq
|
|
assv
|
|
assoc)
|
|
|
|
;; 6.5. Symbols
|
|
|
|
(export symbol?
|
|
symbol=?
|
|
symbol->string
|
|
string->symbol)
|
|
|
|
;; 6.6. Characters
|
|
|
|
(export char?
|
|
char->integer
|
|
integer->char
|
|
char=?
|
|
char<?
|
|
char>?
|
|
char<=?
|
|
char>=?)
|
|
|
|
;; 6.7. Strings
|
|
|
|
(export string?
|
|
string
|
|
make-string
|
|
string-length
|
|
string-ref
|
|
string-set!
|
|
string-copy
|
|
string-copy!
|
|
string-append
|
|
(rename string-copy substring)
|
|
string-fill!
|
|
string->list
|
|
list->string
|
|
string=?
|
|
string<?
|
|
string>?
|
|
string<=?
|
|
string>=?)
|
|
|
|
;; 6.8. Vectors
|
|
|
|
(export vector?
|
|
vector
|
|
make-vector
|
|
vector-length
|
|
vector-ref
|
|
vector-set!
|
|
vector-copy!
|
|
vector-copy
|
|
vector-append
|
|
vector-fill!
|
|
list->vector
|
|
vector->list
|
|
string->vector
|
|
vector->string)
|
|
|
|
;; 6.9. Bytevectors
|
|
|
|
(define (utf8->string v . opts)
|
|
(let ((start (if (pair? opts) (car opts) 0))
|
|
(end (if (>= (length opts) 2)
|
|
(cadr opts)
|
|
(bytevector-length v))))
|
|
(list->string (map integer->char (bytevector->list v start end)))))
|
|
|
|
(define (string->utf8 s . opts)
|
|
(let ((start (if (pair? opts) (car opts) 0))
|
|
(end (if (>= (length opts) 2)
|
|
(cadr opts)
|
|
(string-length s))))
|
|
(list->bytevector (map char->integer (string->list s start end)))))
|
|
|
|
(export bytevector?
|
|
bytevector
|
|
make-bytevector
|
|
bytevector-length
|
|
bytevector-u8-ref
|
|
bytevector-u8-set!
|
|
bytevector-copy
|
|
bytevector-copy!
|
|
bytevector-append
|
|
bytevector->list
|
|
list->bytevector
|
|
utf8->string
|
|
string->utf8)
|
|
|
|
;; 6.10. Control features
|
|
|
|
(export procedure?
|
|
apply
|
|
map
|
|
for-each
|
|
string-map
|
|
string-for-each
|
|
vector-map
|
|
vector-for-each
|
|
call-with-current-continuation
|
|
call/cc
|
|
dynamic-wind
|
|
values
|
|
call-with-values)
|
|
|
|
;; 6.11. Exceptions
|
|
|
|
(define (read-error? obj)
|
|
(and (error-object? obj)
|
|
(eq? (error-object-type obj) 'read)))
|
|
|
|
(define (file-error? obj)
|
|
(and (error-object? obj)
|
|
(eq? (error-object-type obj) 'file)))
|
|
|
|
(export with-exception-handler
|
|
raise
|
|
raise-continuable
|
|
error
|
|
error-object?
|
|
error-object-message
|
|
error-object-irritants
|
|
read-error?
|
|
file-error?)
|
|
|
|
;; 6.13. Input and output
|
|
|
|
(export current-input-port
|
|
current-output-port
|
|
current-error-port
|
|
|
|
call-with-port
|
|
|
|
port?
|
|
input-port?
|
|
output-port?
|
|
textual-port?
|
|
binary-port?
|
|
|
|
(rename port-open? input-port-open?)
|
|
(rename port-open? output-port-open?)
|
|
close-port
|
|
(rename close-port close-input-port)
|
|
(rename close-port close-output-port)
|
|
|
|
open-input-string
|
|
open-output-string
|
|
get-output-string
|
|
open-input-bytevector
|
|
open-output-bytevector
|
|
get-output-bytevector
|
|
|
|
eof-object?
|
|
eof-object
|
|
|
|
read-char
|
|
peek-char
|
|
char-ready?
|
|
read-line
|
|
read-string
|
|
|
|
read-u8
|
|
peek-u8
|
|
u8-ready?
|
|
read-bytevector
|
|
read-bytevector!
|
|
|
|
newline
|
|
write-char
|
|
write-string
|
|
write-u8
|
|
write-bytevector
|
|
flush-output-port)
|
|
|
|
(export features))
|