; what comes next
(define (range . args)
(case (length args)
((1) (range 0 (car args) (if (negative? (car args)) -1 1)))
((2) (range (car args) (cadr args) (if (< (car args) (cadr args)) 1 -1)))
((3) (let ((le? (if (negative? (caddr args)) >= <=)))
(let loop ((x(car args)) (xs '()))
(if (le? (cadr args) x)
(reverse xs)
(loop (+ x (caddr args)) (cons x xs))))))
(else (error 'range "unrecognized arguments"))))
(define (filter pred? xs)
(let loop ((xs xs) (ys '()))
(cond ((null? xs) (reverse ys))
((pred? (car xs))
(loop (cdr xs) (cons (car xs) ys)))
(else (loop (cdr xs) ys)))))
(define (roman->number roman)
(let ((romans '((#\M 1000) (#\D 500) (#\C 100) (#\L 50) (#\X 10) (#\V 5) (#\I 1))))
(let loop ((roman (map char-upcase (string->list roman))) (prior 10000) (number 0))
(cond ((null? roman) number)
((< prior (cadr (assoc (car roman) romans)))
(loop (cdr roman)
10000
(+ number (cadr (assoc (car roman) romans)) (* prior -2))))
(else (loop (cdr roman)
(cadr (assoc (car roman) romans))
(+ number (cadr (assoc (car roman) romans)))))))))
(define (number->roman n)
(if (and (integer? n) (> n 0))
(let loop ((n n)
(romans '((1000 #\M) (500 #\D) (100 #\C) (50 #\L) (10 #\X) (5 #\V) (1 #\I)))
(boundaries '(100 100 10 10 1 1 #f))
(s '()))
(if (null? romans)
(list->string (reverse s))
(let ((roman-val (caar romans))
(roman-dgt (cadar romans))
(bdry (car boundaries)))
(let loop2 ((q (quotient n roman-val))
(r (remainder n roman-val))
(s s))
(if (= q 0)
(if (and bdry (>= r (- roman-val bdry)))
(loop (remainder r bdry) (cdr romans)
(cdr boundaries)
(cons roman-dgt
(append
(cdr (assv bdry romans))
s)))
(loop r (cdr romans) (cdr boundaries) s))
(loop2 (- q 1) r (cons roman-dgt s)))))))
(error 'number->roman "only positive integers can be romanized")))
(display (filter (lambda (s) (= (string-length s) 4))
(map number->roman (range 1 100))))
(newline)
(display (map roman->number
(filter (lambda (s) (= (string-length s) 4))
(map number->roman (range 1 100)))))
(newline)