1 665c255d 2023-08-04 jrmu (define (attach-tag type-tag contents)
2 665c255d 2023-08-04 jrmu (if (or (eq? type-tag 'integer)
3 665c255d 2023-08-04 jrmu (eq? type-tag 'real))
5 665c255d 2023-08-04 jrmu (cons type-tag contents)))
6 665c255d 2023-08-04 jrmu (define (type-tag datum)
7 665c255d 2023-08-04 jrmu (cond ((pair? datum) (car datum))
8 665c255d 2023-08-04 jrmu ((exact? datum) 'integer)
9 665c255d 2023-08-04 jrmu ((number? datum) 'real)
10 665c255d 2023-08-04 jrmu ((error "error -- invalid datum" datum))))
11 665c255d 2023-08-04 jrmu (define (contents datum)
12 665c255d 2023-08-04 jrmu (cond ((pair? datum) (cdr datum))
13 665c255d 2023-08-04 jrmu ((exact? datum) datum)
14 665c255d 2023-08-04 jrmu ((number? datum) (exact->inexact datum))
15 665c255d 2023-08-04 jrmu ((error "error -- invalid datum" datum))))
17 665c255d 2023-08-04 jrmu (define (make-table)
18 665c255d 2023-08-04 jrmu (define (assoc key records)
19 665c255d 2023-08-04 jrmu (cond ((null? records) false)
20 665c255d 2023-08-04 jrmu ((equal? key (caar records)) (car records))
21 665c255d 2023-08-04 jrmu (else (assoc key (cdr records)))))
22 665c255d 2023-08-04 jrmu (let ((local-table (list '*table*)))
23 665c255d 2023-08-04 jrmu (define (lookup key-1 key-2)
24 665c255d 2023-08-04 jrmu (let ((subtable (assoc key-1 (cdr local-table))))
25 665c255d 2023-08-04 jrmu (if subtable
26 665c255d 2023-08-04 jrmu (let ((record (assoc key-2 (cdr subtable))))
28 665c255d 2023-08-04 jrmu (cdr record)
31 665c255d 2023-08-04 jrmu (define (insert! key-1 key-2 value)
32 665c255d 2023-08-04 jrmu (let ((subtable (assoc key-1 (cdr local-table))))
33 665c255d 2023-08-04 jrmu (if subtable
34 665c255d 2023-08-04 jrmu (let ((record (assoc key-2 (cdr subtable))))
36 665c255d 2023-08-04 jrmu (set-cdr! record value)
37 665c255d 2023-08-04 jrmu (set-cdr! subtable
38 665c255d 2023-08-04 jrmu (cons (cons key-2 value)
39 665c255d 2023-08-04 jrmu (cdr subtable)))))
40 665c255d 2023-08-04 jrmu (set-cdr! local-table
41 665c255d 2023-08-04 jrmu (cons (list key-1
42 665c255d 2023-08-04 jrmu (cons key-2 value))
43 665c255d 2023-08-04 jrmu (cdr local-table)))))
45 665c255d 2023-08-04 jrmu (define (dispatch m)
46 665c255d 2023-08-04 jrmu (cond ((eq? m 'lookup-proc) lookup)
47 665c255d 2023-08-04 jrmu ((eq? m 'insert-proc!) insert!)
48 665c255d 2023-08-04 jrmu (else (error "Unknown operation -- TABLE" m))))
51 665c255d 2023-08-04 jrmu (define operation-table (make-table))
52 665c255d 2023-08-04 jrmu (define get (operation-table 'lookup-proc))
53 665c255d 2023-08-04 jrmu (define put (operation-table 'insert-proc!))
55 665c255d 2023-08-04 jrmu (define (add x y) (apply-generic 'add x y))
56 665c255d 2023-08-04 jrmu (define (sub x y) (apply-generic 'sub x y))
57 665c255d 2023-08-04 jrmu (define (mul x y) (apply-generic 'mul x y))
58 665c255d 2023-08-04 jrmu (define (div x y) (apply-generic 'div x y))
59 665c255d 2023-08-04 jrmu (define (equ? x y) (apply-generic 'equ? x y))
60 665c255d 2023-08-04 jrmu (define (=zero? x) (apply-generic '=zero? x))
61 665c255d 2023-08-04 jrmu (define (raise x) (apply-generic 'raise x))
63 665c255d 2023-08-04 jrmu (define (install-integer-package)
64 665c255d 2023-08-04 jrmu (define (tag x) (attach-tag 'integer x))
65 665c255d 2023-08-04 jrmu (put 'add '(integer integer)
66 665c255d 2023-08-04 jrmu (lambda (x y) (tag (+ x y))))
67 665c255d 2023-08-04 jrmu (put 'sub '(integer integer)
68 665c255d 2023-08-04 jrmu (lambda (x y) (tag (- x y))))
69 665c255d 2023-08-04 jrmu (put 'mul '(integer integer)
70 665c255d 2023-08-04 jrmu (lambda (x y) (tag (* x y))))
71 665c255d 2023-08-04 jrmu (put 'div '(integer integer)
72 665c255d 2023-08-04 jrmu (lambda (x y) (tag (quotient x y))))
73 665c255d 2023-08-04 jrmu ;; (if (integer? (/ x y))
74 665c255d 2023-08-04 jrmu ;; (tag (/ x y))
75 665c255d 2023-08-04 jrmu ;; (div (raise (tag x))
76 665c255d 2023-08-04 jrmu ;; (raise (tag y))))))
77 665c255d 2023-08-04 jrmu ;; ;; we avoided calling make-rational to avoid dependencies
78 665c255d 2023-08-04 jrmu (put 'equ? '(integer integer) =)
79 665c255d 2023-08-04 jrmu (put '=zero? '(integer) zero?)
80 665c255d 2023-08-04 jrmu (put 'make 'integer
82 665c255d 2023-08-04 jrmu (if (exact? n)
84 665c255d 2023-08-04 jrmu (error "Not an exact integer" n))))
85 665c255d 2023-08-04 jrmu (put 'raise '(integer)
86 665c255d 2023-08-04 jrmu (lambda (x) (make-rational x 1)))
89 665c255d 2023-08-04 jrmu (define (install-rational-package)
90 665c255d 2023-08-04 jrmu (define (gcd a b)
93 665c255d 2023-08-04 jrmu (gcd b (remainder a b))))
94 665c255d 2023-08-04 jrmu (define (numer x) (car x))
95 665c255d 2023-08-04 jrmu (define (denom x) (cdr x))
96 665c255d 2023-08-04 jrmu (define (make-rat n d)
97 665c255d 2023-08-04 jrmu (if (not (and (integer? n) (integer? d)))
98 665c255d 2023-08-04 jrmu (error "Both numerator and denominator must be integers"
100 665c255d 2023-08-04 jrmu (let ((g (gcd n d)))
101 665c255d 2023-08-04 jrmu (cons (/ n g) (/ d g)))))
102 665c255d 2023-08-04 jrmu (define (add-rat x y)
103 665c255d 2023-08-04 jrmu (make-rat (+ (* (numer x) (denom y))
104 665c255d 2023-08-04 jrmu (* (numer y) (denom x)))
105 665c255d 2023-08-04 jrmu (* (denom x) (denom y))))
106 665c255d 2023-08-04 jrmu (define (sub-rat x y)
107 665c255d 2023-08-04 jrmu (make-rat (- (* (numer x) (denom y))
108 665c255d 2023-08-04 jrmu (* (numer y) (denom x)))
109 665c255d 2023-08-04 jrmu (* (denom x) (denom y))))
110 665c255d 2023-08-04 jrmu (define (mul-rat x y)
111 665c255d 2023-08-04 jrmu (make-rat (* (numer x) (numer y))
112 665c255d 2023-08-04 jrmu (* (denom x) (denom y))))
113 665c255d 2023-08-04 jrmu (define (div-rat x y)
114 665c255d 2023-08-04 jrmu (make-rat (* (numer x) (denom y))
115 665c255d 2023-08-04 jrmu (* (denom x) (numer y))))
116 665c255d 2023-08-04 jrmu (define (equ-rat? x y)
117 665c255d 2023-08-04 jrmu (and (= (numer x) (numer y))
118 665c255d 2023-08-04 jrmu (= (denom x) (denom y))))
119 665c255d 2023-08-04 jrmu (define (=zero-rat? x) (= (numer x) 0))
120 665c255d 2023-08-04 jrmu (define (tag x) (attach-tag 'rational x))
121 665c255d 2023-08-04 jrmu (put 'add '(rational rational)
122 665c255d 2023-08-04 jrmu (lambda (x y) (tag (add-rat x y))))
123 665c255d 2023-08-04 jrmu (put 'sub '(rational rational)
124 665c255d 2023-08-04 jrmu (lambda (x y) (tag (sub-rat x y))))
125 665c255d 2023-08-04 jrmu (put 'mul '(rational rational)
126 665c255d 2023-08-04 jrmu (lambda (x y) (tag (mul-rat x y))))
127 665c255d 2023-08-04 jrmu (put 'div '(rational rational)
128 665c255d 2023-08-04 jrmu (lambda (x y) (tag (div-rat x y))))
129 665c255d 2023-08-04 jrmu (put 'equ? '(rational rational) equ-rat?)
130 665c255d 2023-08-04 jrmu (put '=zero? '(rational) =zero-rat?)
131 665c255d 2023-08-04 jrmu (put 'make 'rational
132 665c255d 2023-08-04 jrmu (lambda (n d) (tag (make-rat n d))))
133 665c255d 2023-08-04 jrmu (put 'raise '(rational)
134 665c255d 2023-08-04 jrmu (lambda (x) (make-real (/ (numer x) (denom x)))))
138 665c255d 2023-08-04 jrmu (define (install-real-package)
139 665c255d 2023-08-04 jrmu (define (tag x) (attach-tag 'real x))
140 665c255d 2023-08-04 jrmu (put 'add '(real real)
141 665c255d 2023-08-04 jrmu (lambda (x y) (tag (+ x y))))
142 665c255d 2023-08-04 jrmu (put 'sub '(real real)
143 665c255d 2023-08-04 jrmu (lambda (x y) (tag (- x y))))
144 665c255d 2023-08-04 jrmu (put 'mul '(real real)
145 665c255d 2023-08-04 jrmu (lambda (x y) (tag (* x y))))
146 665c255d 2023-08-04 jrmu (put 'div '(real real)
147 665c255d 2023-08-04 jrmu (lambda (x y) (tag (/ x y))))
148 665c255d 2023-08-04 jrmu (put 'equ? '(real real) =)
149 665c255d 2023-08-04 jrmu (put '=zero? '(real) zero?)
150 665c255d 2023-08-04 jrmu (put 'make 'real
151 665c255d 2023-08-04 jrmu (lambda (n)
152 665c255d 2023-08-04 jrmu (if (rational? n)
153 665c255d 2023-08-04 jrmu (tag (exact->inexact n))
155 665c255d 2023-08-04 jrmu (put 'raise '(real)
156 665c255d 2023-08-04 jrmu (lambda (x) (make-complex-from-real-imag x 0)))
160 665c255d 2023-08-04 jrmu (define (install-complex-package)
161 665c255d 2023-08-04 jrmu (define (make-from-real-imag x y)
162 665c255d 2023-08-04 jrmu ((get 'make-from-real-imag 'rectangular) x y))
163 665c255d 2023-08-04 jrmu (define (make-from-mag-ang r a)
164 665c255d 2023-08-04 jrmu ((get 'make-from-mag-ang 'polar) r a))
166 665c255d 2023-08-04 jrmu (define (real-part z) (apply-generic 'real-part z))
167 665c255d 2023-08-04 jrmu (define (imag-part z) (apply-generic 'imag-part z))
168 665c255d 2023-08-04 jrmu (define (magnitude z) (apply-generic 'magnitude z))
169 665c255d 2023-08-04 jrmu (define (angle z) (apply-generic 'angle z))
171 665c255d 2023-08-04 jrmu ;; rectangular and polar representations...
173 665c255d 2023-08-04 jrmu (define (install-complex-rectangular)
174 665c255d 2023-08-04 jrmu (define (make-from-real-imag-rectangular x y)
175 665c255d 2023-08-04 jrmu (cons x y))
176 665c255d 2023-08-04 jrmu (define (make-from-mag-ang-rectangular r a)
177 665c255d 2023-08-04 jrmu (cons (* r (cos a)) (* r (sin a))))
178 665c255d 2023-08-04 jrmu (define (real-part z) (car z))
179 665c255d 2023-08-04 jrmu (define (imag-part z) (cdr z))
180 665c255d 2023-08-04 jrmu (define (magnitude z)
181 665c255d 2023-08-04 jrmu (sqrt (+ (square (real-part z))
182 665c255d 2023-08-04 jrmu (square (imag-part z)))))
183 665c255d 2023-08-04 jrmu (define (angle z) (atan (imag-part z) (real-part z)))
184 665c255d 2023-08-04 jrmu (define (tag x) (attach-tag 'rectangular x))
185 665c255d 2023-08-04 jrmu (put 'real-part '(rectangular) real-part)
186 665c255d 2023-08-04 jrmu (put 'imag-part '(rectangular) imag-part)
187 665c255d 2023-08-04 jrmu (put 'magnitude '(rectangular) magnitude)
188 665c255d 2023-08-04 jrmu (put 'angle '(rectangular) angle)
189 665c255d 2023-08-04 jrmu (put 'make-from-real-imag 'rectangular
190 665c255d 2023-08-04 jrmu (lambda (x y) (tag (make-from-real-imag-rectangular x y))))
191 665c255d 2023-08-04 jrmu (put 'make-from-mag-ang 'rectangular
192 665c255d 2023-08-04 jrmu (lambda (r a) (tag (make-from-mag-ang-rectangular r a))))
194 665c255d 2023-08-04 jrmu (define (install-complex-polar)
195 665c255d 2023-08-04 jrmu (define (make-from-real-imag-polar x y)
196 665c255d 2023-08-04 jrmu (cons (sqrt (+ (square x) (square y)))
197 665c255d 2023-08-04 jrmu (atan y x)))
198 665c255d 2023-08-04 jrmu (define (make-from-mag-ang-polar r a)
199 665c255d 2023-08-04 jrmu (cons r a))
200 665c255d 2023-08-04 jrmu (define (real-part z) (* (magnitude z) (cos (angle z))))
201 665c255d 2023-08-04 jrmu (define (imag-part z) (* (magnitude z) (sin (angle z))))
202 665c255d 2023-08-04 jrmu (define (magnitude z) (car z))
203 665c255d 2023-08-04 jrmu (define (angle z) (cdr z))
204 665c255d 2023-08-04 jrmu (define (tag x) (attach-tag 'polar x))
205 665c255d 2023-08-04 jrmu (put 'real-part '(polar) real-part)
206 665c255d 2023-08-04 jrmu (put 'imag-part '(polar) imag-part)
207 665c255d 2023-08-04 jrmu (put 'magnitude '(polar) magnitude)
208 665c255d 2023-08-04 jrmu (put 'angle '(polar) angle)
209 665c255d 2023-08-04 jrmu (put 'make-from-real-imag 'polar
210 665c255d 2023-08-04 jrmu (lambda (x y) (tag (make-from-real-imag-polar x y))))
211 665c255d 2023-08-04 jrmu (put 'make-from-mag-ang 'polar
212 665c255d 2023-08-04 jrmu (lambda (r a) (tag (make-from-mag-ang-polar r a))))
214 665c255d 2023-08-04 jrmu (install-complex-rectangular)
215 665c255d 2023-08-04 jrmu (install-complex-polar)
216 665c255d 2023-08-04 jrmu ;; end rectangular and polar representations
218 665c255d 2023-08-04 jrmu (define (add-complex z1 z2)
219 665c255d 2023-08-04 jrmu (make-from-real-imag (+ (real-part z1) (real-part z2))
220 665c255d 2023-08-04 jrmu (+ (imag-part z1) (imag-part z2))))
221 665c255d 2023-08-04 jrmu (define (sub-complex z1 z2)
222 665c255d 2023-08-04 jrmu (make-from-real-imag (- (real-part z1) (real-part z2))
223 665c255d 2023-08-04 jrmu (- (imag-part z1) (imag-part z2))))
224 665c255d 2023-08-04 jrmu (define (mul-complex z1 z2)
225 665c255d 2023-08-04 jrmu (make-from-mag-ang (* (magnitude z1) (magnitude z2))
226 665c255d 2023-08-04 jrmu (+ (angle z1) (angle z2))))
227 665c255d 2023-08-04 jrmu (define (div-complex z1 z2)
228 665c255d 2023-08-04 jrmu (make-from-mag-ang (/ (magnitude z1) (magnitude z2))
229 665c255d 2023-08-04 jrmu (- (angle z1) (angle z2))))
230 665c255d 2023-08-04 jrmu (define (equ-complex? z1 z2)
231 665c255d 2023-08-04 jrmu (or (and (= (real-part z1) (real-part z2))
232 665c255d 2023-08-04 jrmu (= (imag-part z1) (imag-part z2))) ;; in case of rounding error
233 665c255d 2023-08-04 jrmu (and (= (magnitude z1) (magnitude z2))
234 665c255d 2023-08-04 jrmu (= (angle z1) (angle z2)))))
235 665c255d 2023-08-04 jrmu (define (=zero-complex? z)
236 665c255d 2023-08-04 jrmu (and (= (real-part z) 0)
237 665c255d 2023-08-04 jrmu (= (imag-part z) 0)))
239 665c255d 2023-08-04 jrmu (define (tag x) (attach-tag 'complex x))
240 665c255d 2023-08-04 jrmu (put 'add '(complex complex)
241 665c255d 2023-08-04 jrmu (lambda (z1 z2) (tag (add-complex z1 z2))))
242 665c255d 2023-08-04 jrmu (put 'sub '(complex complex)
243 665c255d 2023-08-04 jrmu (lambda (z1 z2) (tag (sub-complex z1 z2))))
244 665c255d 2023-08-04 jrmu (put 'mul '(complex complex)
245 665c255d 2023-08-04 jrmu (lambda (z1 z2) (tag (mul-complex z1 z2))))
246 665c255d 2023-08-04 jrmu (put 'div '(complex complex)
247 665c255d 2023-08-04 jrmu (lambda (z1 z2) (tag (div-complex z1 z2))))
248 665c255d 2023-08-04 jrmu (put 'equ? '(complex complex) equ-complex?)
249 665c255d 2023-08-04 jrmu (put '=zero? '(complex) =zero-complex?)
250 665c255d 2023-08-04 jrmu (put 'make-from-real-imag 'complex
251 665c255d 2023-08-04 jrmu (lambda (x y) (tag (make-from-real-imag x y))))
252 665c255d 2023-08-04 jrmu (put 'make-from-mag-ang 'complex
253 665c255d 2023-08-04 jrmu (lambda (r a) (tag (make-from-mag-ang r a))))
256 665c255d 2023-08-04 jrmu (define (install-polynomial-package)
257 665c255d 2023-08-04 jrmu (define (tag x) (attach-tag 'polynomial x))
260 665c255d 2023-08-04 jrmu (define (make-integer n)
261 665c255d 2023-08-04 jrmu ((get 'make 'integer) n))
262 665c255d 2023-08-04 jrmu (define (make-rational n d)
263 665c255d 2023-08-04 jrmu ((get 'make 'rational) n d))
264 665c255d 2023-08-04 jrmu (define (make-real n)
265 665c255d 2023-08-04 jrmu ((get 'make 'real) n))
266 665c255d 2023-08-04 jrmu (define (make-complex-from-real-imag x y)
267 665c255d 2023-08-04 jrmu ((get 'make-from-real-imag 'complex) x y))
268 665c255d 2023-08-04 jrmu (define (make-complex-from-mag-ang r a)
269 665c255d 2023-08-04 jrmu ((get 'make-from-mag-ang 'complex) r a))
271 665c255d 2023-08-04 jrmu ;; install number packages
273 665c255d 2023-08-04 jrmu (install-integer-package)
274 665c255d 2023-08-04 jrmu (install-rational-package)
275 665c255d 2023-08-04 jrmu (install-real-package)
276 665c255d 2023-08-04 jrmu (install-complex-package)
277 665c255d 2023-08-04 jrmu (install-polynomial-package)
279 665c255d 2023-08-04 jrmu (define (test-case actual expected)
281 665c255d 2023-08-04 jrmu (display "Actual: ")
282 665c255d 2023-08-04 jrmu (display actual)
284 665c255d 2023-08-04 jrmu (display "Expected: ")
285 665c255d 2023-08-04 jrmu (display expected)
288 665c255d 2023-08-04 jrmu ;; Exercise 2.84. Using the raise operation of exercise 2.83, modify the apply-generic procedure so that it coerces its arguments to have the same type by the method of successive raising, as discussed in this section. You will need to devise a way to test which of two types is higher in the tower. Do this in a manner that is ``compatible'' with the rest of the system and will not lead to problems in adding new levels to the tower.
290 665c255d 2023-08-04 jrmu (define (apply-generic op . args)
291 665c255d 2023-08-04 jrmu ;; return arg1 raised to same type as arg2, #f if not possible
292 665c255d 2023-08-04 jrmu (define (raise-to-second-type arg1 arg2)
293 665c255d 2023-08-04 jrmu (if (eq? (type-tag arg1) (type-tag arg2))
295 665c255d 2023-08-04 jrmu (let ((raise-proc (get 'raise (list (type-tag arg1)))))
296 665c255d 2023-08-04 jrmu (if raise-proc
297 665c255d 2023-08-04 jrmu (raise-to-second-type (raise-proc (contents arg1)) arg2)
299 665c255d 2023-08-04 jrmu (let* ((type-tags (map type-tag args))
300 665c255d 2023-08-04 jrmu (proc (get op type-tags)))
302 665c255d 2023-08-04 jrmu (apply proc (map contents args))
303 665c255d 2023-08-04 jrmu (if (= (length args) 2)
304 665c255d 2023-08-04 jrmu (let ((a1 (car args))
305 665c255d 2023-08-04 jrmu (a2 (cadr args)))
306 665c255d 2023-08-04 jrmu (if (eq? (type-tag a1) (type-tag a2))
307 665c255d 2023-08-04 jrmu (list "No method for these (raised) types" (list op type-tags))
308 665c255d 2023-08-04 jrmu (let ((raised1 (raise-to-second-type a1 a2))
309 665c255d 2023-08-04 jrmu (raised2 (raise-to-second-type a2 a1)))
310 665c255d 2023-08-04 jrmu (cond (raised1 (apply-generic op raised1 a2))
311 665c255d 2023-08-04 jrmu (raised2 (apply-generic op a1 raised2))
312 665c255d 2023-08-04 jrmu (else (list "No common supertype" (list op type-tags)))))))))))
314 665c255d 2023-08-04 jrmu (test-case (add (make-integer 4) '(nonsense-type . 3))
315 665c255d 2023-08-04 jrmu '("No common supertype" (add (integer nonsense-type))))
316 665c255d 2023-08-04 jrmu (test-case (apply-generic 'dummy (make-integer 3) (make-real 4.))
317 665c255d 2023-08-04 jrmu '("No method for these (raised) types" (dummy (real real))))
318 665c255d 2023-08-04 jrmu (test-case (apply-generic 'dummy (make-real 4.) (make-integer 3))
319 665c255d 2023-08-04 jrmu '("No method for these (raised) types" (dummy (real real))))
322 665c255d 2023-08-04 jrmu (test-case (add (make-integer 5) (make-rational 3 1))
323 665c255d 2023-08-04 jrmu (make-rational 8 1))
324 665c255d 2023-08-04 jrmu (test-case (div (make-integer 2) (make-real 5))
326 665c255d 2023-08-04 jrmu (test-case (mul (div (make-complex-from-mag-ang 3 2)
327 665c255d 2023-08-04 jrmu (make-integer 3))
328 665c255d 2023-08-04 jrmu (add (make-real 2.4)
329 665c255d 2023-08-04 jrmu (make-rational 4 3)))
330 665c255d 2023-08-04 jrmu '(complex polar 3.733333333334 . 2.))
332 665c255d 2023-08-04 jrmu ;; begin previous tests
333 665c255d 2023-08-04 jrmu (test-case (equ? (add (make-integer 3) (make-integer 4))
334 665c255d 2023-08-04 jrmu (sub (make-integer 12) (make-integer 5))) #t)
335 665c255d 2023-08-04 jrmu (test-case (equ? (div (make-integer 24) (make-integer 4))
336 665c255d 2023-08-04 jrmu (mul (make-integer 2) (make-integer 3))) #t)
337 665c255d 2023-08-04 jrmu (test-case (equ? (add (make-integer 3) (make-integer 3))
338 665c255d 2023-08-04 jrmu (sub (make-integer 12) (make-integer 5))) #f)
339 665c255d 2023-08-04 jrmu (test-case (equ? (div (make-integer 24) (make-integer 4))
340 665c255d 2023-08-04 jrmu (mul (make-integer 2) (make-integer 2))) #f)
341 665c255d 2023-08-04 jrmu (test-case (=zero? (sub (div (make-integer 24) (make-integer 4))
342 665c255d 2023-08-04 jrmu (mul (make-integer 2) (make-integer 3)))) #t)
343 665c255d 2023-08-04 jrmu (test-case (=zero? (sub (div (make-integer 24) (make-integer 4))
344 665c255d 2023-08-04 jrmu (mul (make-integer 2) (make-integer 4)))) #f)
345 665c255d 2023-08-04 jrmu (test-case (make-integer 5) 5)
346 665c255d 2023-08-04 jrmu (test-case (type-tag (make-integer 5)) 'integer)
347 665c255d 2023-08-04 jrmu (test-case (type-tag (make-real 5)) 'real)
348 665c255d 2023-08-04 jrmu (test-case (make-real 1.66667) 1.66667)
349 665c255d 2023-08-04 jrmu (test-case (make-real (/ 5 3)) 1.66667)
350 665c255d 2023-08-04 jrmu (test-case (type-tag (make-real (/ 5 3))) 'real)
352 665c255d 2023-08-04 jrmu (test-case (div (make-integer 3) (make-integer 4)) 0)
353 665c255d 2023-08-04 jrmu (test-case (=zero? (sub (make-rational 4 1)
354 665c255d 2023-08-04 jrmu (div (add (make-rational 1 2)
355 665c255d 2023-08-04 jrmu (make-rational 3 2))
356 665c255d 2023-08-04 jrmu (mul (make-rational 3 2)
357 665c255d 2023-08-04 jrmu (make-rational 2 6))))) #t)
358 665c255d 2023-08-04 jrmu (test-case (=zero? (sub (make-rational 4 1)
359 665c255d 2023-08-04 jrmu (div (add (make-rational 1 2)
360 665c255d 2023-08-04 jrmu (make-rational 3 2))
361 665c255d 2023-08-04 jrmu (mul (make-rational 3 2)
362 665c255d 2023-08-04 jrmu (make-rational 2 5))))) #f)
363 665c255d 2023-08-04 jrmu (test-case (equ? (add (make-rational 7 2)
364 665c255d 2023-08-04 jrmu (make-rational 2 4))
365 665c255d 2023-08-04 jrmu (div (add (make-rational 1 2)
366 665c255d 2023-08-04 jrmu (make-rational 3 2))
367 665c255d 2023-08-04 jrmu (mul (make-rational 3 2)
368 665c255d 2023-08-04 jrmu (make-rational 2 6)))) #t)
369 665c255d 2023-08-04 jrmu (test-case (equ? (add (make-rational 3 2)
370 665c255d 2023-08-04 jrmu (make-rational 2 4))
371 665c255d 2023-08-04 jrmu (div (add (make-rational 1 2)
372 665c255d 2023-08-04 jrmu (make-rational 3 2))
373 665c255d 2023-08-04 jrmu (mul (make-rational 3 2)
374 665c255d 2023-08-04 jrmu (make-rational 1 6)))) #f)
375 665c255d 2023-08-04 jrmu (test-case (equ? (div (make-rational 4 2)
376 665c255d 2023-08-04 jrmu (make-rational 1 3))
377 665c255d 2023-08-04 jrmu (sub (make-rational 9 1)
378 665c255d 2023-08-04 jrmu (mul (make-rational 4 1)
379 665c255d 2023-08-04 jrmu (make-rational 3 4)))) #t)
380 665c255d 2023-08-04 jrmu (test-case (equ? (div (make-rational 4 2)
381 665c255d 2023-08-04 jrmu (make-rational 1 3))
382 665c255d 2023-08-04 jrmu (sub (make-rational 9 1)
383 665c255d 2023-08-04 jrmu (mul (make-rational 4 1)
384 665c255d 2023-08-04 jrmu (make-rational 3 5)))) #f)
385 665c255d 2023-08-04 jrmu (test-case (equ? (add (make-complex-from-real-imag 3 4)
386 665c255d 2023-08-04 jrmu (make-complex-from-real-imag -5 -3))
387 665c255d 2023-08-04 jrmu '(complex rectangular -2 . 1))
389 665c255d 2023-08-04 jrmu (test-case (equ? (add (make-complex-from-real-imag 3 4.5)
390 665c255d 2023-08-04 jrmu (make-complex-from-real-imag -5 -3))
391 665c255d 2023-08-04 jrmu '(complex rectangular -2 . 1))
393 665c255d 2023-08-04 jrmu (test-case (=zero? (sub (add (make-complex-from-real-imag 3 4)
394 665c255d 2023-08-04 jrmu (make-complex-from-real-imag -5 -3))
395 665c255d 2023-08-04 jrmu '(complex rectangular -2 . 1)))
398 665c255d 2023-08-04 jrmu (test-case (=zero? (sub (add (make-complex-from-real-imag 3 5)
399 665c255d 2023-08-04 jrmu (make-complex-from-real-imag -5 -3))
400 665c255d 2023-08-04 jrmu '(complex rectangular -2 . 1)))
404 665c255d 2023-08-04 jrmu (test-case (raise (make-integer 5)) '(rational 5 . 1))
405 665c255d 2023-08-04 jrmu (test-case (raise (raise (make-integer 5))) 5.)
406 665c255d 2023-08-04 jrmu (test-case (raise (raise (raise (make-integer 5)))) '(complex rectangular 5. . 0))
408 665c255d 2023-08-04 jrmu (test-case (raise (make-rational 5 3)) 1.666667)
409 665c255d 2023-08-04 jrmu (test-case (raise (raise (make-rational 5 3))) '(complex rectangular 1.666667 . 0))
410 665c255d 2023-08-04 jrmu ;; end previous tests
