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#lang racket
(provide install-polar-package)
(require "../../../shared/data-directed-programming.rkt")
(define (install-polar-package apply-generic put)
(define (magnitude z)
(car z))
(define (angle z)
(cdr z))
(define (make-from-mag-ang r a)
(cons r a))
(define (real-part z)
(apply-generic 'mul (magnitude z) (apply-generic 'cos (angle z))))
(define (imag-part z)
(apply-generic 'mul (magnitude z) (apply-generic 'sin (angle z))))
(define (make-from-real-imag x y)
(cons (sqrt (+ (sqr x) (sqr y)))
(atan y x)))
;; register in data-driven package)
(define (typtag x)
(attach-tag 'polar x))
(put 'real-part '(polar) real-part)
(put 'imag-part '(polar) imag-part)
(put 'magnitude '(polar) magnitude)
(put 'angle '(polar) angle)
(put 'make-from-real-imag 'polar (lambda (x y) (typtag (make-from-real-imag x y))))
(put 'make-from-mag-ang 'polar (lambda (r a) (typtag (make-from-mag-ang r a))))
'done)
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