diff options
Diffstat (limited to 'coding-exercises/2/78/install-rational-package.rkt')
| -rw-r--r-- | coding-exercises/2/78/install-rational-package.rkt | 58 |
1 files changed, 58 insertions, 0 deletions
diff --git a/coding-exercises/2/78/install-rational-package.rkt b/coding-exercises/2/78/install-rational-package.rkt new file mode 100644 index 0000000..db4475e --- /dev/null +++ b/coding-exercises/2/78/install-rational-package.rkt @@ -0,0 +1,58 @@ +#lang racket +(provide install-rational-package) +(require "../../../shared/data-directed-programming.rkt") + + +(define (install-rational-package put) + ;; internal + (define (numer x) (car x)) + (define (denom x) (cdr x)) + (define (make-rat n d) + (define (sign x) + (cond + ((and (< x 0) (< d 0)) (* -1 x)) + ((and (< 0 x) (< d 0)) (* -1 x)) + (else x))) + (let ((g (gcd n d))) + (cons (sign (/ n g)) (abs (/ d g))))) + (define (add-rat x y) + (make-rat (+ (* (numer x) (denom y)) + (* (numer y) (denom x))) + (* (denom x) (denom y)))) + (define (sub-rat x y) + (make-rat (- (* (numer x) (denom y)) + (* (numer y) (denom x))) + (* (denom x) (denom y)))) + (define (mul-rat x y) + (make-rat (* (numer x) (numer y)) + (* (denom x) (denom y)))) + (define (div-rat x y) + (make-rat (* (numer x) (denom y)) + (* (denom x) (numer y)))) + + ;; predicates + (define (equ? x y) + (and (equal? (numer x) (numer y)) + (equal? (denom x) (denom y)))) + (define (=zero? x) + (equal? (numer x) 0)) + + ;; interface + (define (typetag x) (attach-tag 'rational x)) + (put 'add '(rational rational) + (lambda (x y) (typetag (add-rat x y)))) + (put 'sub '(rational rational) + (lambda (x y) (typetag (sub-rat x y)))) + (put 'mul '(rational rational) + (lambda (x y) (typetag (mul-rat x y)))) + (put 'div '(rational rational) + (lambda (x y) (typetag (div-rat x y)))) + + (put 'equ? '(rational rational) + (lambda (x y) (equ? x y))) + (put '=zero? '(rational) + (lambda (x) (=zero? x))) + + (put 'make 'rational + (lambda (x y) (typetag (make-rat x y)))) + 'done) |
