;;;;
;;;; c o m p l e x .  s t k l o s		-- The documentation example
;;;;
;;;; Copyright © 1998 Erick Gallesio - I3S-CNRS/ESSI <eg@unice.fr>
;;;; 
;;;; Permission to use, copy, and/or distribute this software and its
;;;; documentation for any purpose and without fee is hereby granted, provided
;;;; that both the above copyright notice and this permission notice appear in
;;;; all copies and derived works.  Fees for distribution or use of this
;;;; software or derived works may only be charged with express written
;;;; permission of the copyright holder.  
;;;; This software is provided ``as is'' without express or implied warranty.
;;;;
;;;; $Id: complex.stklos 1.1 Thu, 22 Jan 1998 15:04:46 +0000 eg $
;;;;
;;;;           Author: Erick Gallesio [eg@kaolin.unice.fr]
;;;;    Creation date: 20-Jan-1998 17:28 
;;;; Last file update: 20-Jan-1998 19:07 


;;;;
;;;; This file corresponds to the example shown in the STklos documentation
;;;;


; ====  Class definition 

(define-class <complex> (<number>)
  (;; True slots use rectangular coordinates
    (r :initform 0 :accessor real-part :init-keyword :r)
    (i :initform 0 :accessor imag-part :init-keyword :i)
    ;; Virtual slots access do the conversion
    (m :accessor magnitude :init-keyword :magn  
       :allocation :virtual
       :slot-ref (lambda (o)
                   (let ((r (slot-ref o 'r)) (i (slot-ref o 'i)))
                     (sqrt (+ (* r r) (* i i)))))
       :slot-set! (lambda (o m)
                     (let ((a (slot-ref o 'a)))
                       (slot-set! o 'r (* m (cos a)))
                       (slot-set! o 'i (* m (sin a))))))
    (a :accessor angle :init-keyword :angle
       :allocation :virtual
       :slot-ref (lambda (o)
                   (atan (slot-ref o 'i) (slot-ref o 'r)))
       :slot-set! (lambda(o a)
                    (let ((m (slot-ref o 'm)))
                       (slot-set! o 'r (* m (cos a)))
                       (slot-set! o 'i (* m (sin a))))))))


;==== The scheme MAKE-RECTANGULAR and MAKE-POLAR procedures

(define make-rectangular (lambda (x y) (make <complex> :r x :i y)))
 
(define make-polar (lambda (x y) (make <complex> :magn x :angle y)))


;==== Define methods to pretty print complex numbers

(define-method write-object ((c <complex>) port)
  (format port "#.(make <complex> :r ~S :i ~S)" (real-part c) (imag-part c)))

(define-method display-object ((c <complex>) port)
  (format port "~S+~Si" (real-part c) (imag-part c)))

;==== Define methods to compare complex numbers

(define-method object-eqv? ((a <complex>) (b <complex>))
  (and (= (real-part a) (real-part b))
       (= (imag-part a) (imag-part b))))

(define-method object-equal? ((a <complex>) (b <complex>))
  (eqv? a b))


(define-generic new-+)

(let ((+ +))
  (define-method new-+ ((a <real>) (b <real>)) (+ a b))
  
  (define-method new-+ ((a <real>) (b <complex>)) 
    (make-rectangular (+ a (real-part b)) (imag-part b)))
  
  (define-method new-+ ((a <complex>) (b <real>))
    (make-rectangular (+ (real-part a) b) (imag-part a)))
  
  (define-method new-+ ((a <complex>) (b <complex>))
    (make-rectangular (+ (real-part a) (real-part b))
		      (+ (imag-part a) (imag-part b))))
  
  (define-method new-+ ((a <number>)) a)
  
  (define-method new-+ () 0)
  
  (define-method new-+ args (new-+ (car args) (apply new-+ (cdr args))))
)

(set! + new-+)

(define c1 (make <complex> :r 2 :i 3))
(define c2 (make <complex> :r 3 :i 4))
(define c3 (make-rectangular 3 2))