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de142bea | 1 | ;;;; numbers.test --- tests guile's numbers -*- scheme -*- |
593a4c2f | 2 | ;;;; Copyright (C) 2000, 2001, 2003, 2004 Free Software Foundation, Inc. |
de142bea | 3 | ;;;; |
73be1d9e MV |
4 | ;;;; This library is free software; you can redistribute it and/or |
5 | ;;;; modify it under the terms of the GNU Lesser General Public | |
6 | ;;;; License as published by the Free Software Foundation; either | |
7 | ;;;; version 2.1 of the License, or (at your option) any later version. | |
8 | ;;;; | |
9 | ;;;; This library is distributed in the hope that it will be useful, | |
de142bea | 10 | ;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of |
73be1d9e MV |
11 | ;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
12 | ;;;; Lesser General Public License for more details. | |
13 | ;;;; | |
14 | ;;;; You should have received a copy of the GNU Lesser General Public | |
15 | ;;;; License along with this library; if not, write to the Free Software | |
16 | ;;;; Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA | |
de142bea | 17 | |
a1fb3b1c KR |
18 | (define-module (test-suite test-numbers) |
19 | #:use-module (test-suite lib) | |
20 | #:use-module (ice-9 documentation)) | |
de142bea | 21 | |
de142bea DH |
22 | ;;; |
23 | ;;; miscellaneous | |
24 | ;;; | |
25 | ||
1b3a7932 DH |
26 | (define exception:numerical-overflow |
27 | (cons 'numerical-overflow "^Numerical overflow")) | |
28 | ||
cb18f2a8 | 29 | (define (documented? object) |
5c96bc39 | 30 | (not (not (object-documentation object)))) |
de142bea | 31 | |
8b7838b5 RB |
32 | (define fixnum-bit |
33 | (inexact->exact (+ (/ (log (+ most-positive-fixnum 1)) (log 2)) 1))) | |
34 | ||
21e39e8f DH |
35 | (define fixnum-min most-negative-fixnum) |
36 | (define fixnum-max most-positive-fixnum) | |
de142bea | 37 | |
a1fb3b1c KR |
38 | ;; Divine the number of bits in the mantissa of a flonum. |
39 | ;; We look for when 2.0^i+1.0 gets rounded, ie. the difference between that | |
40 | ;; value and 2.0^k is not 1.0. | |
41 | ;; Of course this assumes flonums have a fixed precision mantissa, but | |
42 | ;; that's the case now and probably into the forseeable future. | |
43 | ;; On an IEEE system, which means pretty much everywhere, the value here is | |
44 | ;; the usual 53. | |
45 | ;; | |
46 | (define dbl-mant-dig | |
47 | (let more ((i 1) | |
48 | (d 2.0)) | |
49 | (if (> i 1024) | |
50 | (error "Oops, cannot determine number of bits in mantissa of inexact")) | |
51 | (let* ((sum (+ 1.0 d)) | |
52 | (diff (- sum d))) | |
53 | (if (= diff 1.0) | |
54 | (more (1+ i) (* 2.0 d)) | |
55 | i)))) | |
56 | ||
57 | ;; like ash, but working on a flonum | |
58 | (define (ash-flo x n) | |
59 | (while (> n 0) | |
60 | (set! x (* 2.0 x)) | |
61 | (set! n (1- n))) | |
62 | (while (< n 0) | |
63 | (set! x (* 0.5 x)) | |
64 | (set! n (1+ n))) | |
65 | x) | |
66 | ||
67 | ||
de142bea DH |
68 | ;;; |
69 | ;;; exact? | |
70 | ;;; | |
71 | ||
72 | (with-test-prefix "exact?" | |
73 | ||
de142bea | 74 | (pass-if "documented?" |
cb18f2a8 | 75 | (documented? exact?)) |
de142bea | 76 | |
21e39e8f | 77 | (with-test-prefix "integers" |
de142bea | 78 | |
21e39e8f DH |
79 | (pass-if "0" |
80 | (exact? 0)) | |
de142bea | 81 | |
21e39e8f DH |
82 | (pass-if "fixnum-max" |
83 | (exact? fixnum-max)) | |
de142bea | 84 | |
21e39e8f DH |
85 | (pass-if "fixnum-max + 1" |
86 | (exact? (+ fixnum-max 1))) | |
de142bea | 87 | |
21e39e8f DH |
88 | (pass-if "fixnum-min" |
89 | (exact? fixnum-min)) | |
de142bea | 90 | |
21e39e8f DH |
91 | (pass-if "fixnum-min - 1" |
92 | (exact? (- fixnum-min 1)))) | |
93 | ||
94 | (with-test-prefix "reals" | |
95 | ||
96 | ;; (FIXME: need better examples.) | |
97 | ||
98 | (pass-if "sqrt (fixnum-max^2 - 1)" | |
99 | (eq? #f (exact? (sqrt (- (expt fixnum-max 2) 1))))) | |
100 | ||
101 | (pass-if "sqrt ((fixnum-max+1)^2 - 1)" | |
102 | (eq? #f (exact? (sqrt (- (expt (+ fixnum-max 1) 2) 1))))))) | |
de142bea DH |
103 | |
104 | ;;; | |
105 | ;;; odd? | |
106 | ;;; | |
107 | ||
7c24e528 RB |
108 | (with-test-prefix "odd?" |
109 | (pass-if (documented? odd?)) | |
110 | (pass-if (odd? 1)) | |
111 | (pass-if (odd? -1)) | |
4d332f19 DH |
112 | (pass-if (not (odd? 0))) |
113 | (pass-if (not (odd? 2))) | |
114 | (pass-if (not (odd? -2))) | |
7c24e528 | 115 | (pass-if (odd? (+ (* 2 fixnum-max) 1))) |
4d332f19 | 116 | (pass-if (not (odd? (* 2 fixnum-max)))) |
7c24e528 | 117 | (pass-if (odd? (- (* 2 fixnum-min) 1))) |
4d332f19 | 118 | (pass-if (not (odd? (* 2 fixnum-min))))) |
de142bea DH |
119 | |
120 | ;;; | |
121 | ;;; even? | |
122 | ;;; | |
123 | ||
7c24e528 RB |
124 | (with-test-prefix "even?" |
125 | (pass-if (documented? even?)) | |
126 | (pass-if (even? 2)) | |
127 | (pass-if (even? -2)) | |
128 | (pass-if (even? 0)) | |
4d332f19 DH |
129 | (pass-if (not (even? 1))) |
130 | (pass-if (not (even? -1))) | |
131 | (pass-if (not (even? (+ (* 2 fixnum-max) 1)))) | |
7c24e528 | 132 | (pass-if (even? (* 2 fixnum-max))) |
4d332f19 | 133 | (pass-if (not (even? (- (* 2 fixnum-min) 1)))) |
7c24e528 | 134 | (pass-if (even? (* 2 fixnum-min)))) |
de142bea DH |
135 | |
136 | ;;; | |
7c24e528 RB |
137 | ;;; inf? and inf |
138 | ;;; | |
139 | ||
140 | (with-test-prefix "inf?" | |
141 | (pass-if (documented? inf?)) | |
142 | (pass-if (inf? (inf))) | |
143 | ;; FIXME: what are the expected behaviors? | |
144 | ;; (pass-if (inf? (/ 1.0 0.0)) | |
145 | ;; (pass-if (inf? (/ 1 0.0)) | |
4d332f19 DH |
146 | (pass-if (not (inf? 0))) |
147 | (pass-if (not (inf? 42.0))) | |
148 | (pass-if (not (inf? (+ fixnum-max 1)))) | |
149 | (pass-if (not (inf? (- fixnum-min 1))))) | |
7c24e528 RB |
150 | |
151 | ;;; | |
152 | ;;; nan? and nan | |
de142bea DH |
153 | ;;; |
154 | ||
7c24e528 RB |
155 | (with-test-prefix "nan?" |
156 | (pass-if (documented? nan?)) | |
157 | (pass-if (nan? (nan))) | |
158 | ;; FIXME: other ways we should be able to generate NaN? | |
4d332f19 DH |
159 | (pass-if (not (nan? 0))) |
160 | (pass-if (not (nan? 42.0))) | |
161 | (pass-if (not (nan? (+ fixnum-max 1)))) | |
162 | (pass-if (not (nan? (- fixnum-min 1))))) | |
de142bea | 163 | |
7c24e528 RB |
164 | ;;; |
165 | ;;; abs | |
166 | ;;; | |
167 | ||
168 | (with-test-prefix "abs" | |
169 | (pass-if (documented? abs)) | |
170 | (pass-if (zero? (abs 0))) | |
171 | (pass-if (= 1 (abs 1))) | |
172 | (pass-if (= 1 (abs -1))) | |
173 | (pass-if (= (+ fixnum-max 1) (abs (+ fixnum-max 1)))) | |
174 | (pass-if (= (+ (- fixnum-min) 1) (abs (- fixnum-min 1)))) | |
76903a31 KR |
175 | (pass-if (= 0.0 (abs 0.0))) |
176 | (pass-if (= 1.0 (abs 1.0))) | |
177 | (pass-if (= 1.0 (abs -1.0))) | |
178 | (pass-if (nan? (abs +nan.0))) | |
179 | (pass-if (= +inf.0 (abs +inf.0))) | |
180 | (pass-if (= +inf.0 (abs -inf.0)))) | |
181 | ||
de142bea DH |
182 | ;;; |
183 | ;;; quotient | |
184 | ;;; | |
185 | ||
186 | (with-test-prefix "quotient" | |
187 | ||
de142bea | 188 | (expect-fail "documented?" |
cb18f2a8 | 189 | (documented? quotient)) |
de142bea | 190 | |
de142bea DH |
191 | (with-test-prefix "0 / n" |
192 | ||
193 | (pass-if "n = 1" | |
194 | (eqv? 0 (quotient 0 1))) | |
195 | ||
196 | (pass-if "n = -1" | |
197 | (eqv? 0 (quotient 0 -1))) | |
198 | ||
21e39e8f DH |
199 | (pass-if "n = 2" |
200 | (eqv? 0 (quotient 0 2))) | |
201 | ||
202 | (pass-if "n = fixnum-max" | |
203 | (eqv? 0 (quotient 0 fixnum-max))) | |
204 | ||
205 | (pass-if "n = fixnum-max + 1" | |
206 | (eqv? 0 (quotient 0 (+ fixnum-max 1)))) | |
207 | ||
208 | (pass-if "n = fixnum-min" | |
209 | (eqv? 0 (quotient 0 fixnum-min))) | |
210 | ||
211 | (pass-if "n = fixnum-min - 1" | |
212 | (eqv? 0 (quotient 0 (- fixnum-min 1))))) | |
de142bea | 213 | |
21e39e8f | 214 | (with-test-prefix "1 / n" |
de142bea DH |
215 | |
216 | (pass-if "n = 1" | |
217 | (eqv? 1 (quotient 1 1))) | |
218 | ||
219 | (pass-if "n = -1" | |
21e39e8f DH |
220 | (eqv? -1 (quotient 1 -1))) |
221 | ||
222 | (pass-if "n = 2" | |
223 | (eqv? 0 (quotient 1 2))) | |
de142bea | 224 | |
21e39e8f DH |
225 | (pass-if "n = fixnum-max" |
226 | (eqv? 0 (quotient 1 fixnum-max))) | |
de142bea | 227 | |
21e39e8f DH |
228 | (pass-if "n = fixnum-max + 1" |
229 | (eqv? 0 (quotient 1 (+ fixnum-max 1)))) | |
de142bea | 230 | |
21e39e8f DH |
231 | (pass-if "n = fixnum-min" |
232 | (eqv? 0 (quotient 1 fixnum-min))) | |
233 | ||
234 | (pass-if "n = fixnum-min - 1" | |
235 | (eqv? 0 (quotient 1 (- fixnum-min 1))))) | |
236 | ||
237 | (with-test-prefix "-1 / n" | |
de142bea DH |
238 | |
239 | (pass-if "n = 1" | |
21e39e8f | 240 | (eqv? -1 (quotient -1 1))) |
de142bea DH |
241 | |
242 | (pass-if "n = -1" | |
243 | (eqv? 1 (quotient -1 -1))) | |
244 | ||
21e39e8f DH |
245 | (pass-if "n = 2" |
246 | (eqv? 0 (quotient -1 2))) | |
247 | ||
248 | (pass-if "n = fixnum-max" | |
249 | (eqv? 0 (quotient -1 fixnum-max))) | |
250 | ||
251 | (pass-if "n = fixnum-max + 1" | |
252 | (eqv? 0 (quotient -1 (+ fixnum-max 1)))) | |
253 | ||
254 | (pass-if "n = fixnum-min" | |
255 | (eqv? 0 (quotient -1 fixnum-min))) | |
256 | ||
257 | (pass-if "n = fixnum-min - 1" | |
258 | (eqv? 0 (quotient -1 (- fixnum-min 1))))) | |
259 | ||
260 | (with-test-prefix "fixnum-max / n" | |
261 | ||
262 | (pass-if "n = 1" | |
263 | (eqv? fixnum-max (quotient fixnum-max 1))) | |
264 | ||
265 | (pass-if "n = -1" | |
266 | (eqv? (- fixnum-max) (quotient fixnum-max -1))) | |
267 | ||
268 | (pass-if "n = 2" | |
269 | (eqv? fixnum-max (+ (* (quotient fixnum-max 2) 2) 1))) | |
270 | ||
271 | (pass-if "n = fixnum-max" | |
272 | (eqv? 1 (quotient fixnum-max fixnum-max))) | |
273 | ||
274 | (pass-if "n = fixnum-max + 1" | |
275 | (eqv? 0 (quotient fixnum-max (+ fixnum-max 1)))) | |
276 | ||
277 | (pass-if "n = fixnum-min" | |
278 | (eqv? 0 (quotient fixnum-max fixnum-min))) | |
279 | ||
280 | (pass-if "n = fixnum-min - 1" | |
281 | (eqv? 0 (quotient fixnum-max (- fixnum-min 1))))) | |
282 | ||
283 | (with-test-prefix "(fixnum-max + 1) / n" | |
284 | ||
285 | (pass-if "n = 1" | |
286 | (eqv? (+ fixnum-max 1) (quotient (+ fixnum-max 1) 1))) | |
287 | ||
288 | (pass-if "n = -1" | |
289 | (eqv? (- (+ fixnum-max 1)) (quotient (+ fixnum-max 1) -1))) | |
290 | ||
291 | (pass-if "n = 2" | |
292 | (eqv? (+ fixnum-max 1) (* (quotient (+ fixnum-max 1) 2) 2))) | |
293 | ||
294 | (pass-if "n = fixnum-max" | |
295 | (eqv? 1 (quotient (+ fixnum-max 1) fixnum-max))) | |
296 | ||
297 | (pass-if "n = fixnum-max + 1" | |
298 | (eqv? 1 (quotient (+ fixnum-max 1) (+ fixnum-max 1)))) | |
299 | ||
300 | (pass-if "n = fixnum-min" | |
301 | (eqv? -1 (quotient (+ fixnum-max 1) fixnum-min))) | |
302 | ||
303 | (pass-if "n = fixnum-min - 1" | |
304 | (eqv? 0 (quotient (+ fixnum-max 1) (- fixnum-min 1))))) | |
305 | ||
306 | (with-test-prefix "fixnum-min / n" | |
307 | ||
308 | (pass-if "n = 1" | |
309 | (eqv? fixnum-min (quotient fixnum-min 1))) | |
310 | ||
311 | (pass-if "n = -1" | |
312 | (eqv? (- fixnum-min) (quotient fixnum-min -1))) | |
313 | ||
314 | (pass-if "n = 2" | |
315 | (eqv? fixnum-min (* (quotient fixnum-min 2) 2))) | |
316 | ||
317 | (pass-if "n = fixnum-max" | |
318 | (eqv? -1 (quotient fixnum-min fixnum-max))) | |
319 | ||
320 | (pass-if "n = fixnum-max + 1" | |
321 | (eqv? -1 (quotient fixnum-min (+ fixnum-max 1)))) | |
322 | ||
323 | (pass-if "n = fixnum-min" | |
324 | (eqv? 1 (quotient fixnum-min fixnum-min))) | |
325 | ||
326 | (pass-if "n = fixnum-min - 1" | |
ad22fe7c KR |
327 | (eqv? 0 (quotient fixnum-min (- fixnum-min 1)))) |
328 | ||
329 | (pass-if "n = - fixnum-min - 1" | |
330 | (eqv? -1 (quotient fixnum-min (1- (- fixnum-min))))) | |
331 | ||
332 | ;; special case, normally inum/big is zero | |
333 | (pass-if "n = - fixnum-min" | |
334 | (eqv? -1 (quotient fixnum-min (- fixnum-min)))) | |
335 | ||
336 | (pass-if "n = - fixnum-min + 1" | |
337 | (eqv? 0 (quotient fixnum-min (1+ (- fixnum-min)))))) | |
21e39e8f DH |
338 | |
339 | (with-test-prefix "(fixnum-min - 1) / n" | |
340 | ||
341 | (pass-if "n = 1" | |
342 | (eqv? (- fixnum-min 1) (quotient (- fixnum-min 1) 1))) | |
343 | ||
344 | (pass-if "n = -1" | |
345 | (eqv? (- (- fixnum-min 1)) (quotient (- fixnum-min 1) -1))) | |
346 | ||
347 | (pass-if "n = 2" | |
348 | (eqv? fixnum-min (* (quotient (- fixnum-min 1) 2) 2))) | |
349 | ||
350 | (pass-if "n = fixnum-max" | |
351 | (eqv? -1 (quotient (- fixnum-min 1) fixnum-max))) | |
352 | ||
353 | (pass-if "n = fixnum-max + 1" | |
354 | (eqv? -1 (quotient (- fixnum-min 1) (+ fixnum-max 1)))) | |
355 | ||
356 | (pass-if "n = fixnum-min" | |
357 | (eqv? 1 (quotient (- fixnum-min 1) fixnum-min))) | |
358 | ||
359 | (pass-if "n = fixnum-min - 1" | |
360 | (eqv? 1 (quotient (- fixnum-min 1) (- fixnum-min 1))))) | |
de142bea DH |
361 | |
362 | ;; Positive dividend and divisor | |
363 | ||
364 | (pass-if "35 / 7" | |
365 | (eqv? 5 (quotient 35 7))) | |
366 | ||
367 | ;; Negative dividend, positive divisor | |
368 | ||
369 | (pass-if "-35 / 7" | |
370 | (eqv? -5 (quotient -35 7))) | |
371 | ||
372 | ;; Positive dividend, negative divisor | |
373 | ||
374 | (pass-if "35 / -7" | |
375 | (eqv? -5 (quotient 35 -7))) | |
376 | ||
377 | ;; Negative dividend and divisor | |
378 | ||
379 | (pass-if "-35 / -7" | |
380 | (eqv? 5 (quotient -35 -7))) | |
381 | ||
382 | ;; Are numerical overflows detected correctly? | |
383 | ||
80074d77 DH |
384 | (with-test-prefix "division by zero" |
385 | ||
386 | (pass-if-exception "(quotient 1 0)" | |
387 | exception:numerical-overflow | |
388 | (quotient 1 0)) | |
389 | ||
390 | (pass-if-exception "(quotient bignum 0)" | |
391 | exception:numerical-overflow | |
392 | (quotient (+ fixnum-max 1) 0))) | |
393 | ||
de142bea DH |
394 | ;; Are wrong type arguments detected correctly? |
395 | ||
396 | ) | |
397 | ||
398 | ;;; | |
399 | ;;; remainder | |
400 | ;;; | |
401 | ||
402 | (with-test-prefix "remainder" | |
403 | ||
de142bea | 404 | (expect-fail "documented?" |
cb18f2a8 | 405 | (documented? remainder)) |
de142bea | 406 | |
de142bea DH |
407 | (with-test-prefix "0 / n" |
408 | ||
409 | (pass-if "n = 1" | |
410 | (eqv? 0 (remainder 0 1))) | |
411 | ||
412 | (pass-if "n = -1" | |
413 | (eqv? 0 (remainder 0 -1))) | |
414 | ||
21e39e8f DH |
415 | (pass-if "n = fixnum-max" |
416 | (eqv? 0 (remainder 0 fixnum-max))) | |
417 | ||
418 | (pass-if "n = fixnum-max + 1" | |
419 | (eqv? 0 (remainder 0 (+ fixnum-max 1)))) | |
420 | ||
421 | (pass-if "n = fixnum-min" | |
422 | (eqv? 0 (remainder 0 fixnum-min))) | |
de142bea | 423 | |
21e39e8f DH |
424 | (pass-if "n = fixnum-min - 1" |
425 | (eqv? 0 (remainder 0 (- fixnum-min 1))))) | |
de142bea | 426 | |
21e39e8f | 427 | (with-test-prefix "1 / n" |
de142bea DH |
428 | |
429 | (pass-if "n = 1" | |
430 | (eqv? 0 (remainder 1 1))) | |
431 | ||
432 | (pass-if "n = -1" | |
21e39e8f DH |
433 | (eqv? 0 (remainder 1 -1))) |
434 | ||
435 | (pass-if "n = fixnum-max" | |
436 | (eqv? 1 (remainder 1 fixnum-max))) | |
de142bea | 437 | |
21e39e8f DH |
438 | (pass-if "n = fixnum-max + 1" |
439 | (eqv? 1 (remainder 1 (+ fixnum-max 1)))) | |
de142bea | 440 | |
21e39e8f DH |
441 | (pass-if "n = fixnum-min" |
442 | (eqv? 1 (remainder 1 fixnum-min))) | |
de142bea | 443 | |
21e39e8f DH |
444 | (pass-if "n = fixnum-min - 1" |
445 | (eqv? 1 (remainder 1 (- fixnum-min 1))))) | |
446 | ||
447 | (with-test-prefix "-1 / n" | |
de142bea DH |
448 | |
449 | (pass-if "n = 1" | |
21e39e8f | 450 | (eqv? 0 (remainder -1 1))) |
de142bea DH |
451 | |
452 | (pass-if "n = -1" | |
453 | (eqv? 0 (remainder -1 -1))) | |
454 | ||
21e39e8f DH |
455 | (pass-if "n = fixnum-max" |
456 | (eqv? -1 (remainder -1 fixnum-max))) | |
457 | ||
458 | (pass-if "n = fixnum-max + 1" | |
459 | (eqv? -1 (remainder -1 (+ fixnum-max 1)))) | |
460 | ||
461 | (pass-if "n = fixnum-min" | |
462 | (eqv? -1 (remainder -1 fixnum-min))) | |
463 | ||
464 | (pass-if "n = fixnum-min - 1" | |
465 | (eqv? -1 (remainder -1 (- fixnum-min 1))))) | |
466 | ||
467 | (with-test-prefix "fixnum-max / n" | |
468 | ||
469 | (pass-if "n = 1" | |
470 | (eqv? 0 (remainder fixnum-max 1))) | |
471 | ||
472 | (pass-if "n = -1" | |
473 | (eqv? 0 (remainder fixnum-max -1))) | |
474 | ||
475 | (pass-if "n = fixnum-max" | |
476 | (eqv? 0 (remainder fixnum-max fixnum-max))) | |
477 | ||
478 | (pass-if "n = fixnum-max + 1" | |
479 | (eqv? fixnum-max (remainder fixnum-max (+ fixnum-max 1)))) | |
480 | ||
481 | (pass-if "n = fixnum-min" | |
482 | (eqv? fixnum-max (remainder fixnum-max fixnum-min))) | |
483 | ||
484 | (pass-if "n = fixnum-min - 1" | |
485 | (eqv? fixnum-max (remainder fixnum-max (- fixnum-min 1))))) | |
486 | ||
487 | (with-test-prefix "(fixnum-max + 1) / n" | |
488 | ||
489 | (pass-if "n = 1" | |
490 | (eqv? 0 (remainder (+ fixnum-max 1) 1))) | |
491 | ||
492 | (pass-if "n = -1" | |
493 | (eqv? 0 (remainder (+ fixnum-max 1) -1))) | |
494 | ||
495 | (pass-if "n = fixnum-max" | |
496 | (eqv? 1 (remainder (+ fixnum-max 1) fixnum-max))) | |
497 | ||
498 | (pass-if "n = fixnum-max + 1" | |
499 | (eqv? 0 (remainder (+ fixnum-max 1) (+ fixnum-max 1)))) | |
500 | ||
501 | (pass-if "n = fixnum-min" | |
502 | (eqv? 0 (remainder (+ fixnum-max 1) fixnum-min))) | |
503 | ||
504 | (pass-if "n = fixnum-min - 1" | |
505 | (eqv? (+ fixnum-max 1) (remainder (+ fixnum-max 1) (- fixnum-min 1))))) | |
506 | ||
507 | (with-test-prefix "fixnum-min / n" | |
508 | ||
509 | (pass-if "n = 1" | |
510 | (eqv? 0 (remainder fixnum-min 1))) | |
511 | ||
512 | (pass-if "n = -1" | |
513 | (eqv? 0 (remainder fixnum-min -1))) | |
514 | ||
515 | (pass-if "n = fixnum-max" | |
516 | (eqv? -1 (remainder fixnum-min fixnum-max))) | |
517 | ||
518 | (pass-if "n = fixnum-max + 1" | |
519 | (eqv? 0 (remainder fixnum-min (+ fixnum-max 1)))) | |
520 | ||
521 | (pass-if "n = fixnum-min" | |
522 | (eqv? 0 (remainder fixnum-min fixnum-min))) | |
523 | ||
524 | (pass-if "n = fixnum-min - 1" | |
ad22fe7c KR |
525 | (eqv? fixnum-min (remainder fixnum-min (- fixnum-min 1)))) |
526 | ||
527 | (pass-if "n = - fixnum-min - 1" | |
528 | (eqv? -1 (remainder fixnum-min (1- (- fixnum-min))))) | |
529 | ||
530 | ;; special case, normally inum%big is the inum | |
531 | (pass-if "n = - fixnum-min" | |
532 | (eqv? 0 (remainder fixnum-min (- fixnum-min)))) | |
533 | ||
534 | (pass-if "n = - fixnum-min + 1" | |
535 | (eqv? fixnum-min (remainder fixnum-min (1+ (- fixnum-min)))))) | |
21e39e8f DH |
536 | |
537 | (with-test-prefix "(fixnum-min - 1) / n" | |
538 | ||
539 | (pass-if "n = 1" | |
540 | (eqv? 0 (remainder (- fixnum-min 1) 1))) | |
541 | ||
542 | (pass-if "n = -1" | |
543 | (eqv? 0 (remainder (- fixnum-min 1) -1))) | |
544 | ||
545 | (pass-if "n = fixnum-max" | |
546 | (eqv? -2 (remainder (- fixnum-min 1) fixnum-max))) | |
547 | ||
548 | (pass-if "n = fixnum-max + 1" | |
549 | (eqv? -1 (remainder (- fixnum-min 1) (+ fixnum-max 1)))) | |
550 | ||
551 | (pass-if "n = fixnum-min" | |
552 | (eqv? -1 (remainder (- fixnum-min 1) fixnum-min))) | |
553 | ||
554 | (pass-if "n = fixnum-min - 1" | |
555 | (eqv? 0 (remainder (- fixnum-min 1) (- fixnum-min 1))))) | |
de142bea DH |
556 | |
557 | ;; Positive dividend and divisor | |
558 | ||
559 | (pass-if "35 / 7" | |
560 | (eqv? 0 (remainder 35 7))) | |
561 | ||
562 | ;; Negative dividend, positive divisor | |
563 | ||
564 | (pass-if "-35 / 7" | |
565 | (eqv? 0 (remainder -35 7))) | |
566 | ||
567 | ;; Positive dividend, negative divisor | |
568 | ||
569 | (pass-if "35 / -7" | |
570 | (eqv? 0 (remainder 35 -7))) | |
571 | ||
572 | ;; Negative dividend and divisor | |
573 | ||
574 | (pass-if "-35 / -7" | |
575 | (eqv? 0 (remainder -35 -7))) | |
576 | ||
577 | ;; Are numerical overflows detected correctly? | |
578 | ||
80074d77 DH |
579 | (with-test-prefix "division by zero" |
580 | ||
581 | (pass-if-exception "(remainder 1 0)" | |
582 | exception:numerical-overflow | |
583 | (remainder 1 0)) | |
584 | ||
585 | (pass-if-exception "(remainder bignum 0)" | |
586 | exception:numerical-overflow | |
587 | (remainder (+ fixnum-max 1) 0))) | |
588 | ||
de142bea DH |
589 | ;; Are wrong type arguments detected correctly? |
590 | ||
591 | ) | |
592 | ||
593 | ;;; | |
594 | ;;; modulo | |
595 | ;;; | |
596 | ||
597 | (with-test-prefix "modulo" | |
598 | ||
de142bea | 599 | (expect-fail "documented?" |
cb18f2a8 | 600 | (documented? modulo)) |
de142bea | 601 | |
de142bea DH |
602 | (with-test-prefix "0 % n" |
603 | ||
604 | (pass-if "n = 1" | |
605 | (eqv? 0 (modulo 0 1))) | |
606 | ||
607 | (pass-if "n = -1" | |
608 | (eqv? 0 (modulo 0 -1))) | |
609 | ||
21e39e8f DH |
610 | (pass-if "n = fixnum-max" |
611 | (eqv? 0 (modulo 0 fixnum-max))) | |
612 | ||
613 | (pass-if "n = fixnum-max + 1" | |
614 | (eqv? 0 (modulo 0 (+ fixnum-max 1)))) | |
de142bea | 615 | |
21e39e8f DH |
616 | (pass-if "n = fixnum-min" |
617 | (eqv? 0 (modulo 0 fixnum-min))) | |
de142bea | 618 | |
21e39e8f DH |
619 | (pass-if "n = fixnum-min - 1" |
620 | (eqv? 0 (modulo 0 (- fixnum-min 1))))) | |
621 | ||
622 | (with-test-prefix "1 % n" | |
de142bea DH |
623 | |
624 | (pass-if "n = 1" | |
625 | (eqv? 0 (modulo 1 1))) | |
626 | ||
627 | (pass-if "n = -1" | |
21e39e8f | 628 | (eqv? 0 (modulo 1 -1))) |
de142bea | 629 | |
21e39e8f DH |
630 | (pass-if "n = fixnum-max" |
631 | (eqv? 1 (modulo 1 fixnum-max))) | |
de142bea | 632 | |
21e39e8f DH |
633 | (pass-if "n = fixnum-max + 1" |
634 | (eqv? 1 (modulo 1 (+ fixnum-max 1)))) | |
de142bea | 635 | |
21e39e8f DH |
636 | (pass-if "n = fixnum-min" |
637 | (eqv? (+ fixnum-min 1) (modulo 1 fixnum-min))) | |
638 | ||
639 | (pass-if "n = fixnum-min - 1" | |
640 | (eqv? fixnum-min (modulo 1 (- fixnum-min 1))))) | |
641 | ||
642 | (with-test-prefix "-1 % n" | |
de142bea DH |
643 | |
644 | (pass-if "n = 1" | |
21e39e8f | 645 | (eqv? 0 (modulo -1 1))) |
de142bea DH |
646 | |
647 | (pass-if "n = -1" | |
648 | (eqv? 0 (modulo -1 -1))) | |
649 | ||
21e39e8f DH |
650 | (pass-if "n = fixnum-max" |
651 | (eqv? (- fixnum-max 1) (modulo -1 fixnum-max))) | |
652 | ||
653 | (pass-if "n = fixnum-max + 1" | |
654 | (eqv? fixnum-max (modulo -1 (+ fixnum-max 1)))) | |
655 | ||
656 | (pass-if "n = fixnum-min" | |
657 | (eqv? -1 (modulo -1 fixnum-min))) | |
658 | ||
659 | (pass-if "n = fixnum-min - 1" | |
660 | (eqv? -1 (modulo -1 (- fixnum-min 1))))) | |
661 | ||
662 | (with-test-prefix "fixnum-max % n" | |
663 | ||
664 | (pass-if "n = 1" | |
665 | (eqv? 0 (modulo fixnum-max 1))) | |
666 | ||
667 | (pass-if "n = -1" | |
668 | (eqv? 0 (modulo fixnum-max -1))) | |
669 | ||
670 | (pass-if "n = fixnum-max" | |
671 | (eqv? 0 (modulo fixnum-max fixnum-max))) | |
672 | ||
673 | (pass-if "n = fixnum-max + 1" | |
674 | (eqv? fixnum-max (modulo fixnum-max (+ fixnum-max 1)))) | |
675 | ||
676 | (pass-if "n = fixnum-min" | |
677 | (eqv? -1 (modulo fixnum-max fixnum-min))) | |
678 | ||
679 | (pass-if "n = fixnum-min - 1" | |
680 | (eqv? -2 (modulo fixnum-max (- fixnum-min 1))))) | |
681 | ||
682 | (with-test-prefix "(fixnum-max + 1) % n" | |
683 | ||
684 | (pass-if "n = 1" | |
685 | (eqv? 0 (modulo (+ fixnum-max 1) 1))) | |
686 | ||
687 | (pass-if "n = -1" | |
688 | (eqv? 0 (modulo (+ fixnum-max 1) -1))) | |
689 | ||
690 | (pass-if "n = fixnum-max" | |
691 | (eqv? 1 (modulo (+ fixnum-max 1) fixnum-max))) | |
692 | ||
693 | (pass-if "n = fixnum-max + 1" | |
694 | (eqv? 0 (modulo (+ fixnum-max 1) (+ fixnum-max 1)))) | |
695 | ||
696 | (pass-if "n = fixnum-min" | |
697 | (eqv? 0 (modulo (+ fixnum-max 1) fixnum-min))) | |
698 | ||
699 | (pass-if "n = fixnum-min - 1" | |
700 | (eqv? -1 (modulo (+ fixnum-max 1) (- fixnum-min 1))))) | |
701 | ||
702 | (with-test-prefix "fixnum-min % n" | |
703 | ||
704 | (pass-if "n = 1" | |
705 | (eqv? 0 (modulo fixnum-min 1))) | |
706 | ||
707 | (pass-if "n = -1" | |
708 | (eqv? 0 (modulo fixnum-min -1))) | |
709 | ||
710 | (pass-if "n = fixnum-max" | |
711 | (eqv? (- fixnum-max 1) (modulo fixnum-min fixnum-max))) | |
712 | ||
713 | (pass-if "n = fixnum-max + 1" | |
714 | (eqv? 0 (modulo fixnum-min (+ fixnum-max 1)))) | |
715 | ||
716 | (pass-if "n = fixnum-min" | |
717 | (eqv? 0 (modulo fixnum-min fixnum-min))) | |
718 | ||
719 | (pass-if "n = fixnum-min - 1" | |
720 | (eqv? fixnum-min (modulo fixnum-min (- fixnum-min 1))))) | |
721 | ||
722 | (with-test-prefix "(fixnum-min - 1) % n" | |
723 | ||
724 | (pass-if "n = 1" | |
725 | (eqv? 0 (modulo (- fixnum-min 1) 1))) | |
726 | ||
727 | (pass-if "n = -1" | |
728 | (eqv? 0 (modulo (- fixnum-min 1) -1))) | |
729 | ||
730 | (pass-if "n = fixnum-max" | |
731 | (eqv? (- fixnum-max 2) (modulo (- fixnum-min 1) fixnum-max))) | |
732 | ||
733 | (pass-if "n = fixnum-max + 1" | |
734 | (eqv? fixnum-max (modulo (- fixnum-min 1) (+ fixnum-max 1)))) | |
735 | ||
736 | (pass-if "n = fixnum-min" | |
737 | (eqv? -1 (modulo (- fixnum-min 1) fixnum-min))) | |
738 | ||
739 | (pass-if "n = fixnum-min - 1" | |
740 | (eqv? 0 (modulo (- fixnum-min 1) (- fixnum-min 1))))) | |
de142bea DH |
741 | |
742 | ;; Positive dividend and divisor | |
743 | ||
744 | (pass-if "13 % 4" | |
745 | (eqv? 1 (modulo 13 4))) | |
746 | ||
747 | (pass-if "2177452800 % 86400" | |
748 | (eqv? 0 (modulo 2177452800 86400))) | |
749 | ||
750 | ;; Negative dividend, positive divisor | |
751 | ||
752 | (pass-if "-13 % 4" | |
753 | (eqv? 3 (modulo -13 4))) | |
754 | ||
755 | (pass-if "-2177452800 % 86400" | |
756 | (eqv? 0 (modulo -2177452800 86400))) | |
757 | ||
758 | ;; Positive dividend, negative divisor | |
759 | ||
760 | (pass-if "13 % -4" | |
761 | (eqv? -3 (modulo 13 -4))) | |
762 | ||
763 | (pass-if "2177452800 % -86400" | |
764 | (eqv? 0 (modulo 2177452800 -86400))) | |
765 | ||
766 | ;; Negative dividend and divisor | |
767 | ||
768 | (pass-if "-13 % -4" | |
769 | (eqv? -1 (modulo -13 -4))) | |
770 | ||
771 | (pass-if "-2177452800 % -86400" | |
772 | (eqv? 0 (modulo -2177452800 -86400))) | |
773 | ||
774 | ;; Are numerical overflows detected correctly? | |
775 | ||
80074d77 DH |
776 | (with-test-prefix "division by zero" |
777 | ||
778 | (pass-if-exception "(modulo 1 0)" | |
779 | exception:numerical-overflow | |
780 | (modulo 1 0)) | |
781 | ||
782 | (pass-if-exception "(modulo bignum 0)" | |
783 | exception:numerical-overflow | |
784 | (modulo (+ fixnum-max 1) 0))) | |
785 | ||
de142bea DH |
786 | ;; Are wrong type arguments detected correctly? |
787 | ||
788 | ) | |
789 | ||
24360e11 KR |
790 | ;;; |
791 | ;;; modulo-expt | |
792 | ;;; | |
793 | ||
794 | (with-test-prefix "modulo-expt" | |
795 | (pass-if (= 1 (modulo-expt 17 23 47))) | |
796 | ||
797 | (pass-if (= 1 (modulo-expt 17 -23 47))) | |
798 | ||
799 | (pass-if (= 17 (modulo-expt 17 -22 47))) | |
800 | ||
801 | (pass-if (= 36 (modulo-expt 17 22 47))) | |
802 | ||
803 | (pass-if (= 183658794479969134816674175082294846241553725240 (modulo-expt 111122223333444455556666 111122223333444455556666 1153478690012629968439432872520758982731022934717))) | |
804 | ||
805 | (pass-if-exception | |
806 | "Proper exception with 0 modulus" | |
807 | (cons 'numerical-overflow "") | |
808 | (modulo-expt 17 23 0)) | |
809 | ||
810 | (pass-if-exception | |
811 | "Proper exception when result not invertible" | |
812 | (cons 'numerical-overflow "") | |
813 | (modulo-expt 10 -1 48)) | |
814 | ||
815 | (pass-if-exception | |
816 | "Proper exception with wrong type argument" | |
817 | (cons 'wrong-type-arg "") | |
818 | (modulo-expt "Sam" 23 10)) | |
819 | ||
820 | (pass-if-exception | |
821 | "Proper exception with wrong type argument" | |
822 | (cons 'wrong-type-arg "") | |
823 | (modulo-expt 17 9.9 10)) | |
824 | ||
825 | (pass-if-exception | |
826 | "Proper exception with wrong type argument" | |
827 | (cons 'wrong-type-arg "") | |
828 | (modulo-expt 17 23 'Ethel))) | |
829 | ||
de142bea DH |
830 | ;;; |
831 | ;;; gcd | |
832 | ;;; | |
833 | ||
834 | (with-test-prefix "gcd" | |
835 | ||
de142bea | 836 | (expect-fail "documented?" |
cb18f2a8 | 837 | (documented? gcd)) |
de142bea | 838 | |
de142bea DH |
839 | (with-test-prefix "(0 n)" |
840 | ||
21e39e8f DH |
841 | (pass-if "n = 0" |
842 | (eqv? 0 (gcd 0 0))) | |
843 | ||
de142bea DH |
844 | (pass-if "n = 1" |
845 | (eqv? 1 (gcd 0 1))) | |
846 | ||
847 | (pass-if "n = -1" | |
848 | (eqv? 1 (gcd 0 -1))) | |
849 | ||
21e39e8f DH |
850 | (pass-if "n = fixnum-max" |
851 | (eqv? fixnum-max (gcd 0 fixnum-max))) | |
de142bea | 852 | |
21e39e8f DH |
853 | (pass-if "n = fixnum-max + 1" |
854 | (eqv? (+ fixnum-max 1) (gcd 0 (+ fixnum-max 1)))) | |
de142bea | 855 | |
21e39e8f DH |
856 | (pass-if "n = fixnum-min" |
857 | (eqv? (- fixnum-min) (gcd 0 fixnum-min))) | |
de142bea | 858 | |
21e39e8f DH |
859 | (pass-if "n = fixnum-min - 1" |
860 | (eqv? (- (- fixnum-min 1)) (gcd 0 (- fixnum-min 1))))) | |
861 | ||
db386f80 KR |
862 | (with-test-prefix "(n 0)" |
863 | ||
864 | (pass-if "n = 2^128 * fixnum-max" | |
865 | (eqv? (ash fixnum-max 128) (gcd (ash fixnum-max 128) 0)))) | |
866 | ||
21e39e8f DH |
867 | (with-test-prefix "(1 n)" |
868 | ||
869 | (pass-if "n = 0" | |
de142bea DH |
870 | (eqv? 1 (gcd 1 0))) |
871 | ||
21e39e8f DH |
872 | (pass-if "n = 1" |
873 | (eqv? 1 (gcd 1 1))) | |
874 | ||
de142bea | 875 | (pass-if "n = -1" |
21e39e8f DH |
876 | (eqv? 1 (gcd 1 -1))) |
877 | ||
878 | (pass-if "n = fixnum-max" | |
879 | (eqv? 1 (gcd 1 fixnum-max))) | |
880 | ||
881 | (pass-if "n = fixnum-max + 1" | |
882 | (eqv? 1 (gcd 1 (+ fixnum-max 1)))) | |
883 | ||
884 | (pass-if "n = fixnum-min" | |
885 | (eqv? 1 (gcd 1 fixnum-min))) | |
886 | ||
887 | (pass-if "n = fixnum-min - 1" | |
888 | (eqv? 1 (gcd 1 (- fixnum-min 1))))) | |
889 | ||
890 | (with-test-prefix "(-1 n)" | |
891 | ||
892 | (pass-if "n = 0" | |
de142bea DH |
893 | (eqv? 1 (gcd -1 0))) |
894 | ||
21e39e8f DH |
895 | (pass-if "n = 1" |
896 | (eqv? 1 (gcd -1 1))) | |
de142bea | 897 | |
21e39e8f DH |
898 | (pass-if "n = -1" |
899 | (eqv? 1 (gcd -1 -1))) | |
de142bea | 900 | |
21e39e8f DH |
901 | (pass-if "n = fixnum-max" |
902 | (eqv? 1 (gcd -1 fixnum-max))) | |
903 | ||
904 | (pass-if "n = fixnum-max + 1" | |
905 | (eqv? 1 (gcd -1 (+ fixnum-max 1)))) | |
906 | ||
907 | (pass-if "n = fixnum-min" | |
908 | (eqv? 1 (gcd -1 fixnum-min))) | |
909 | ||
910 | (pass-if "n = fixnum-min - 1" | |
911 | (eqv? 1 (gcd -1 (- fixnum-min 1))))) | |
912 | ||
913 | (with-test-prefix "(fixnum-max n)" | |
914 | ||
915 | (pass-if "n = 0" | |
916 | (eqv? fixnum-max (gcd fixnum-max 0))) | |
de142bea DH |
917 | |
918 | (pass-if "n = 1" | |
21e39e8f | 919 | (eqv? 1 (gcd fixnum-max 1))) |
de142bea DH |
920 | |
921 | (pass-if "n = -1" | |
21e39e8f DH |
922 | (eqv? 1 (gcd fixnum-max -1))) |
923 | ||
924 | (pass-if "n = fixnum-max" | |
925 | (eqv? fixnum-max (gcd fixnum-max fixnum-max))) | |
de142bea | 926 | |
21e39e8f DH |
927 | (pass-if "n = fixnum-max + 1" |
928 | (eqv? 1 (gcd fixnum-max (+ fixnum-max 1)))) | |
de142bea | 929 | |
21e39e8f DH |
930 | (pass-if "n = fixnum-min" |
931 | (eqv? 1 (gcd fixnum-max fixnum-min))) | |
de142bea | 932 | |
21e39e8f DH |
933 | (pass-if "n = fixnum-min - 1" |
934 | (eqv? 1 (gcd fixnum-max (- fixnum-min 1))))) | |
935 | ||
936 | (with-test-prefix "((+ fixnum-max 1) n)" | |
937 | ||
938 | (pass-if "n = 0" | |
939 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) 0))) | |
940 | ||
941 | (pass-if "n = 1" | |
942 | (eqv? 1 (gcd (+ fixnum-max 1) 1))) | |
de142bea DH |
943 | |
944 | (pass-if "n = -1" | |
21e39e8f | 945 | (eqv? 1 (gcd (+ fixnum-max 1) -1))) |
de142bea | 946 | |
21e39e8f DH |
947 | (pass-if "n = fixnum-max" |
948 | (eqv? 1 (gcd (+ fixnum-max 1) fixnum-max))) | |
de142bea | 949 | |
21e39e8f DH |
950 | (pass-if "n = fixnum-max + 1" |
951 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) (+ fixnum-max 1)))) | |
de142bea | 952 | |
21e39e8f DH |
953 | (pass-if "n = fixnum-min" |
954 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) fixnum-min))) | |
955 | ||
956 | (pass-if "n = fixnum-min - 1" | |
957 | (eqv? 1 (gcd (+ fixnum-max 1) (- fixnum-min 1))))) | |
958 | ||
959 | (with-test-prefix "(fixnum-min n)" | |
960 | ||
961 | (pass-if "n = 0" | |
962 | (eqv? (- fixnum-min) (gcd fixnum-min 0))) | |
963 | ||
964 | (pass-if "n = 1" | |
965 | (eqv? 1 (gcd fixnum-min 1))) | |
de142bea DH |
966 | |
967 | (pass-if "n = -1" | |
21e39e8f DH |
968 | (eqv? 1 (gcd fixnum-min -1))) |
969 | ||
970 | (pass-if "n = fixnum-max" | |
971 | (eqv? 1 (gcd fixnum-min fixnum-max))) | |
972 | ||
973 | (pass-if "n = fixnum-max + 1" | |
974 | (eqv? (+ fixnum-max 1) (gcd fixnum-min (+ fixnum-max 1)))) | |
de142bea | 975 | |
21e39e8f DH |
976 | (pass-if "n = fixnum-min" |
977 | (eqv? (- fixnum-min) (gcd fixnum-min fixnum-min))) | |
978 | ||
979 | (pass-if "n = fixnum-min - 1" | |
980 | (eqv? 1 (gcd fixnum-min (- fixnum-min 1))))) | |
981 | ||
982 | (with-test-prefix "((- fixnum-min 1) n)" | |
983 | ||
984 | (pass-if "n = 0" | |
985 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) 0))) | |
986 | ||
987 | (pass-if "n = 1" | |
988 | (eqv? 1 (gcd (- fixnum-min 1) 1))) | |
989 | ||
990 | (pass-if "n = -1" | |
991 | (eqv? 1 (gcd (- fixnum-min 1) -1))) | |
992 | ||
993 | (pass-if "n = fixnum-max" | |
994 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-max))) | |
995 | ||
996 | (pass-if "n = fixnum-max + 1" | |
997 | (eqv? 1 (gcd (- fixnum-min 1) (+ fixnum-max 1)))) | |
998 | ||
999 | (pass-if "n = fixnum-min" | |
1000 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-min))) | |
1001 | ||
1002 | (pass-if "n = fixnum-min - 1" | |
1003 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) (- fixnum-min 1))))) | |
de142bea DH |
1004 | |
1005 | ;; Are wrong type arguments detected correctly? | |
1006 | ||
1007 | ) | |
1008 | ||
f29b3454 DH |
1009 | ;;; |
1010 | ;;; lcm | |
1011 | ;;; | |
1012 | ||
7c24e528 RB |
1013 | (with-test-prefix "lcm" |
1014 | ;; FIXME: more tests? | |
1015 | ;; (some of these are already in r4rs.test) | |
1016 | (expect-fail (documented? lcm)) | |
1017 | (pass-if (= (lcm) 1)) | |
1018 | (pass-if (= (lcm 32 -36) 288)) | |
1019 | (let ((big-n 115792089237316195423570985008687907853269984665640564039457584007913129639936) ; 2 ^ 256 | |
1020 | (lcm-of-big-n-and-11 1273712981610478149659280835095566986385969831322046204434033424087044426039296)) | |
1021 | (pass-if (= lcm-of-big-n-and-11 (lcm big-n 11))) | |
1022 | (pass-if (= lcm-of-big-n-and-11 (lcm 11 big-n 11))))) | |
1023 | ||
f29b3454 DH |
1024 | ;;; |
1025 | ;;; number->string | |
1026 | ;;; | |
1027 | ||
7c24e528 RB |
1028 | (with-test-prefix "number->string" |
1029 | (let ((num->str->num | |
1030 | (lambda (n radix) | |
1031 | (string->number (number->string n radix) radix)))) | |
1032 | ||
1033 | (pass-if (documented? number->string)) | |
1034 | (pass-if (string=? (number->string 0) "0")) | |
1035 | (pass-if (string=? (number->string 171) "171")) | |
1036 | (pass-if (= (+ fixnum-max 1) (num->str->num (+ fixnum-max 1) 10))) | |
1037 | (pass-if (= (- fixnum-min 1) (num->str->num (- fixnum-min 1) 10))) | |
1038 | (pass-if (= (inf) (num->str->num (inf) 10))) | |
1039 | (pass-if (= 1.3 (num->str->num 1.3 10))))) | |
1040 | ||
f29b3454 DH |
1041 | ;;; |
1042 | ;;; string->number | |
1043 | ;;; | |
1044 | ||
2f4a254a DH |
1045 | (with-test-prefix "string->number" |
1046 | ||
1047 | (pass-if "string->number" | |
1048 | (documented? string->number)) | |
1049 | ||
1050 | (pass-if "non number strings" | |
1051 | (for-each (lambda (x) (if (string->number x) (throw 'fail))) | |
569c483b | 1052 | '("" "q" "1q" "6+7iq" "8+9q" "10+11" "13+" "18@19q" "20@q" "23@" |
2f4a254a | 1053 | "+25iq" "26i" "-q" "-iq" "i" "5#.0" "8/" "10#11" ".#" "." |
569c483b | 1054 | "#o.2" "3.4q" "15.16e17q" "18.19e+q" ".q" ".17#18" "10q" "#b2" |
2f4a254a DH |
1055 | "#b3" "#b4" "#b5" "#b6" "#b7" "#b8" "#b9" "#ba" "#bb" "#bc" |
1056 | "#bd" "#be" "#bf" "#q" "#b#b1" "#o#o1" "#d#d1" "#x#x1" "#e#e1" | |
1057 | "#i#i1" "12@12+0i")) | |
1058 | #t) | |
1059 | ||
b7d9b1cf DH |
1060 | (pass-if "valid number strings" |
1061 | (for-each (lambda (couple) | |
1062 | (apply | |
1063 | (lambda (x y) | |
9dd9857f MV |
1064 | (let ((xx (string->number x))) |
1065 | (if (or (eq? xx #f) (not (eqv? xx y))) | |
ca2b31fe MV |
1066 | (begin |
1067 | (pk x y) | |
1068 | (throw 'fail))))) | |
b7d9b1cf DH |
1069 | couple)) |
1070 | `(;; Radix: | |
1071 | ("#b0" 0) ("#B0" 0) ("#b1" 1) ("#B1" 1) ("#o0" 0) ("#O0" 0) | |
1072 | ("#o1" 1) ("#O1" 1) ("#o2" 2) ("#O2" 2) ("#o3" 3) ("#O3" 3) | |
1073 | ("#o4" 4) ("#O4" 4) ("#o5" 5) ("#O5" 5) ("#o6" 6) ("#O6" 6) | |
1074 | ("#o7" 7) ("#O7" 7) ("#d0" 0) ("#D0" 0) ("#d1" 1) ("#D1" 1) | |
1075 | ("#d2" 2) ("#D2" 2) ("#d3" 3) ("#D3" 3) ("#d4" 4) ("#D4" 4) | |
1076 | ("#d5" 5) ("#D5" 5) ("#d6" 6) ("#D6" 6) ("#d7" 7) ("#D7" 7) | |
1077 | ("#d8" 8) ("#D8" 8) ("#d9" 9) ("#D9" 9) | |
1078 | ("#xa" 10) ("#Xa" 10) ("#xb" 11) ("#Xb" 11) | |
1079 | ("#xc" 12) ("#Xc" 12) ("#xd" 13) ("#Xd" 13) | |
1080 | ("#xe" 14) ("#Xe" 14) ("#xf" 15) ("#Xf" 15) | |
1081 | ("#b1010" 10) | |
1082 | ("#o12345670" 2739128) | |
1083 | ("#d1234567890" 1234567890) | |
1084 | ("#x1234567890abcdef" 1311768467294899695) | |
1085 | ;; Exactness: | |
ca2b31fe | 1086 | ("#e1" 1) ("#e1.2" 12/10) |
9dd9857f | 1087 | ("#i1.1" 1.1) ("#i1" 1.0) |
b7d9b1cf DH |
1088 | ;; Integers: |
1089 | ("1" ,(1+ 0)) ("23" ,(+ 9 9 5)) ("-1" ,(- 0 1)) | |
1090 | ("-45" ,(- 0 45)) ("2#" 20.0) ("2##" 200.0) ("12##" 1200.0) | |
1091 | ("#b#i100" 4.0) | |
9dd9857f MV |
1092 | ;; Fractions: |
1093 | ("1/1" 1) ("1/2" 1/2) ("-1/2" -1/2) ("1#/1" 10.0) | |
1094 | ("10/1#" 1.0) ("1#/1#" 1.0) ("#e9/10" 9/10) ("#e10/1#" 1) | |
b7d9b1cf DH |
1095 | ("#i6/8" 0.75) ("#i1/1" 1.0) |
1096 | ;; Decimal numbers: | |
1097 | ;; * <uinteger 10> <suffix> | |
1098 | ("1e2" 100.0) ("1E2" 100.0) ("1s2" 100.0) ("1S2" 100.0) | |
1099 | ("1f2" 100.0) ("1F2" 100.0) ("1d2" 100.0) ("1D2" 100.0) | |
1100 | ("1l2" 100.0) ("1L2" 100.0) ("1e+2" 100.0) ("1e-2" 0.01) | |
1101 | ;; * . <digit 10>+ #* <suffix> | |
1102 | (".1" .1) (".0123456789" 123456789e-10) (".16#" 0.16) | |
1103 | (".0123456789e10" 123456789.0) (".16#e3" 160.0) ("#d.3" 0.3) | |
1104 | ;; * <digit 10>+ . <digit 10>* #* <suffix> | |
1105 | ("3." ,(exact->inexact 3)) ("3.e0" ,(exact->inexact 3)) | |
1106 | ("3.1" ,(exact->inexact 31/10)) ("3.1e0" 3.1) ("3.1#" 3.1) | |
1107 | ("3.1#e0" 3.1) | |
1108 | ;; * <digit 10>+ #+ . #* <suffix> | |
1109 | ("3#." 30.0) ("3#.e0" 30.0) ("3#.#" 30.0) ("3#.#e0" 30.0) | |
1110 | ;; Complex: | |
1111 | ("1@0" 1.0) ("1@+0" 1.0) ("1@-0" 1.0) | |
1112 | ("2+3i" ,(+ 2 (* 3 +i))) ("4-5i" ,(- 4 (* 5 +i))) | |
1113 | ("1+i" 1+1i) ("1-i" 1-1i) ("+1i" 0+1i) ("-1i" 0-1i) | |
1114 | ("+i" +1i) ("-i" -1i))) | |
1115 | #t) | |
1116 | ||
2f4a254a DH |
1117 | (pass-if-exception "exponent too big" |
1118 | exception:out-of-range | |
1119 | (string->number "12.13e141414"))) | |
1120 | ||
f29b3454 DH |
1121 | ;;; |
1122 | ;;; number? | |
1123 | ;;; | |
1124 | ||
7c24e528 RB |
1125 | (with-test-prefix "number?" |
1126 | (pass-if (documented? number?)) | |
1127 | (pass-if (number? 0)) | |
1128 | (pass-if (number? 7)) | |
1129 | (pass-if (number? -7)) | |
1130 | (pass-if (number? 1.3)) | |
1131 | (pass-if (number? (+ 1 fixnum-max))) | |
1132 | (pass-if (number? (- 1 fixnum-min))) | |
1133 | (pass-if (number? 3+4i)) | |
4d332f19 DH |
1134 | (pass-if (not (number? #\a))) |
1135 | (pass-if (not (number? "a"))) | |
1136 | (pass-if (not (number? (make-vector 0)))) | |
1137 | (pass-if (not (number? (cons 1 2)))) | |
1138 | (pass-if (not (number? #t))) | |
1139 | (pass-if (not (number? (lambda () #t)))) | |
1140 | (pass-if (not (number? (current-input-port))))) | |
7c24e528 | 1141 | |
f29b3454 DH |
1142 | ;;; |
1143 | ;;; complex? | |
1144 | ;;; | |
1145 | ||
7c24e528 RB |
1146 | (with-test-prefix "complex?" |
1147 | (pass-if (documented? complex?)) | |
1148 | (pass-if (complex? 0)) | |
1149 | (pass-if (complex? 7)) | |
1150 | (pass-if (complex? -7)) | |
1151 | (pass-if (complex? (+ 1 fixnum-max))) | |
1152 | (pass-if (complex? (- 1 fixnum-min))) | |
1153 | (pass-if (complex? 1.3)) | |
1154 | (pass-if (complex? 3+4i)) | |
4d332f19 DH |
1155 | (pass-if (not (complex? #\a))) |
1156 | (pass-if (not (complex? "a"))) | |
1157 | (pass-if (not (complex? (make-vector 0)))) | |
1158 | (pass-if (not (complex? (cons 1 2)))) | |
1159 | (pass-if (not (complex? #t))) | |
1160 | (pass-if (not (complex? (lambda () #t)))) | |
1161 | (pass-if (not (complex? (current-input-port))))) | |
7c24e528 | 1162 | |
f29b3454 DH |
1163 | ;;; |
1164 | ;;; real? | |
1165 | ;;; | |
1166 | ||
7c24e528 RB |
1167 | (with-test-prefix "real?" |
1168 | (pass-if (documented? real?)) | |
1169 | (pass-if (real? 0)) | |
1170 | (pass-if (real? 7)) | |
1171 | (pass-if (real? -7)) | |
1172 | (pass-if (real? (+ 1 fixnum-max))) | |
1173 | (pass-if (real? (- 1 fixnum-min))) | |
1174 | (pass-if (real? 1.3)) | |
4d332f19 DH |
1175 | (pass-if (not (real? 3+4i))) |
1176 | (pass-if (not (real? #\a))) | |
1177 | (pass-if (not (real? "a"))) | |
1178 | (pass-if (not (real? (make-vector 0)))) | |
1179 | (pass-if (not (real? (cons 1 2)))) | |
1180 | (pass-if (not (real? #t))) | |
1181 | (pass-if (not (real? (lambda () #t)))) | |
1182 | (pass-if (not (real? (current-input-port))))) | |
7c24e528 | 1183 | |
f29b3454 | 1184 | ;;; |
7c24e528 | 1185 | ;;; rational? (same as real? right now) |
f29b3454 DH |
1186 | ;;; |
1187 | ||
7c24e528 RB |
1188 | (with-test-prefix "rational?" |
1189 | (pass-if (documented? rational?)) | |
1190 | (pass-if (rational? 0)) | |
1191 | (pass-if (rational? 7)) | |
1192 | (pass-if (rational? -7)) | |
1193 | (pass-if (rational? (+ 1 fixnum-max))) | |
1194 | (pass-if (rational? (- 1 fixnum-min))) | |
1195 | (pass-if (rational? 1.3)) | |
4d332f19 DH |
1196 | (pass-if (not (rational? 3+4i))) |
1197 | (pass-if (not (rational? #\a))) | |
1198 | (pass-if (not (rational? "a"))) | |
1199 | (pass-if (not (rational? (make-vector 0)))) | |
1200 | (pass-if (not (rational? (cons 1 2)))) | |
1201 | (pass-if (not (rational? #t))) | |
1202 | (pass-if (not (rational? (lambda () #t)))) | |
1203 | (pass-if (not (rational? (current-input-port))))) | |
7c24e528 | 1204 | |
f29b3454 DH |
1205 | ;;; |
1206 | ;;; integer? | |
1207 | ;;; | |
1208 | ||
7c24e528 RB |
1209 | (with-test-prefix "integer?" |
1210 | (pass-if (documented? integer?)) | |
1211 | (pass-if (integer? 0)) | |
1212 | (pass-if (integer? 7)) | |
1213 | (pass-if (integer? -7)) | |
1214 | (pass-if (integer? (+ 1 fixnum-max))) | |
1215 | (pass-if (integer? (- 1 fixnum-min))) | |
1216 | (pass-if (and (= 3+0i (round 3+0i)) (integer? 3+0i))) | |
1217 | (pass-if (and (= 1.0 (round 1.0)) (integer? 1.0))) | |
4d332f19 DH |
1218 | (pass-if (not (integer? 1.3))) |
1219 | (pass-if (not (integer? 3+4i))) | |
1220 | (pass-if (not (integer? #\a))) | |
1221 | (pass-if (not (integer? "a"))) | |
1222 | (pass-if (not (integer? (make-vector 0)))) | |
1223 | (pass-if (not (integer? (cons 1 2)))) | |
1224 | (pass-if (not (integer? #t))) | |
1225 | (pass-if (not (integer? (lambda () #t)))) | |
1226 | (pass-if (not (integer? (current-input-port))))) | |
7c24e528 | 1227 | |
f29b3454 DH |
1228 | ;;; |
1229 | ;;; inexact? | |
1230 | ;;; | |
1231 | ||
7c24e528 RB |
1232 | (with-test-prefix "inexact?" |
1233 | (pass-if (documented? inexact?)) | |
4d332f19 DH |
1234 | (pass-if (not (inexact? 0))) |
1235 | (pass-if (not (inexact? 7))) | |
1236 | (pass-if (not (inexact? -7))) | |
1237 | (pass-if (not (inexact? (+ 1 fixnum-max)))) | |
1238 | (pass-if (not (inexact? (- 1 fixnum-min)))) | |
7c24e528 RB |
1239 | (pass-if (inexact? 1.3)) |
1240 | (pass-if (inexact? 3.1+4.2i)) | |
ca2b31fe MV |
1241 | (pass-if-exception "char" |
1242 | exception:wrong-type-arg | |
1243 | (not (inexact? #\a))) | |
1244 | (pass-if-exception "string" | |
1245 | exception:wrong-type-arg | |
1246 | (not (inexact? "a"))) | |
1247 | (pass-if-exception "vector" | |
1248 | exception:wrong-type-arg | |
1249 | (not (inexact? (make-vector 0)))) | |
1250 | (pass-if-exception "cons" | |
1251 | exception:wrong-type-arg | |
1252 | (not (inexact? (cons 1 2)))) | |
1253 | (pass-if-exception "bool" | |
1254 | exception:wrong-type-arg | |
1255 | (not (inexact? #t))) | |
1256 | (pass-if-exception "procedure" | |
1257 | exception:wrong-type-arg | |
1258 | (not (inexact? (lambda () #t)))) | |
1259 | (pass-if-exception "port" | |
1260 | exception:wrong-type-arg | |
1261 | (not (inexact? (current-input-port))))) | |
7c24e528 | 1262 | |
47ae1f0e DH |
1263 | ;;; |
1264 | ;;; equal? | |
1265 | ;;; | |
1266 | ||
1267 | (with-test-prefix "equal?" | |
1268 | (pass-if (documented? equal?)) | |
1269 | (pass-if (equal? 0 0)) | |
1270 | (pass-if (equal? 7 7)) | |
1271 | (pass-if (equal? -7 -7)) | |
1272 | (pass-if (equal? (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
1273 | (pass-if (equal? (- fixnum-min 1) (- fixnum-min 1))) | |
1274 | (pass-if (not (equal? 0 1))) | |
1275 | (pass-if (not (equal? fixnum-max (+ 1 fixnum-max)))) | |
1276 | (pass-if (not (equal? (+ 1 fixnum-max) fixnum-max))) | |
1277 | (pass-if (not (equal? (+ 1 fixnum-max) (+ 2 fixnum-max)))) | |
1278 | (pass-if (not (equal? fixnum-min (- fixnum-min 1)))) | |
1279 | (pass-if (not (equal? (- fixnum-min 1) fixnum-min))) | |
1280 | (pass-if (not (equal? (- fixnum-min 1) (- fixnum-min 2)))) | |
1281 | (pass-if (not (equal? (+ fixnum-max 1) (- fixnum-min 1)))) | |
1282 | ||
1283 | (pass-if (not (equal? (ash 1 256) +inf.0))) | |
1284 | (pass-if (not (equal? +inf.0 (ash 1 256)))) | |
1285 | (pass-if (not (equal? (ash 1 256) -inf.0))) | |
1286 | (pass-if (not (equal? -inf.0 (ash 1 256)))) | |
1287 | ||
1288 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
1289 | ;; sure we've avoided that | |
1290 | (pass-if (not (equal? (ash 1 1024) +inf.0))) | |
1291 | (pass-if (not (equal? +inf.0 (ash 1 1024)))) | |
1292 | (pass-if (not (equal? (- (ash 1 1024)) -inf.0))) | |
1293 | (pass-if (not (equal? -inf.0 (- (ash 1 1024))))) | |
1294 | ||
1295 | (pass-if (not (equal? +nan.0 +nan.0))) | |
1296 | (pass-if (not (equal? 0 +nan.0))) | |
1297 | (pass-if (not (equal? +nan.0 0))) | |
1298 | (pass-if (not (equal? 1 +nan.0))) | |
1299 | (pass-if (not (equal? +nan.0 1))) | |
1300 | (pass-if (not (equal? -1 +nan.0))) | |
1301 | (pass-if (not (equal? +nan.0 -1))) | |
1302 | ||
1303 | (pass-if (not (equal? (ash 1 256) +nan.0))) | |
1304 | (pass-if (not (equal? +nan.0 (ash 1 256)))) | |
1305 | (pass-if (not (equal? (- (ash 1 256)) +nan.0))) | |
1306 | (pass-if (not (equal? +nan.0 (- (ash 1 256))))) | |
1307 | ||
1308 | (pass-if (not (equal? (ash 1 8192) +nan.0))) | |
1309 | (pass-if (not (equal? +nan.0 (ash 1 8192)))) | |
1310 | (pass-if (not (equal? (- (ash 1 8192)) +nan.0))) | |
1311 | (pass-if (not (equal? +nan.0 (- (ash 1 8192))))) | |
1312 | ||
1313 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
1314 | ;; sure we've avoided that | |
1315 | (pass-if (not (equal? (ash 3 1023) +nan.0))) | |
1316 | (pass-if (not (equal? +nan.0 (ash 3 1023))))) | |
1317 | ||
f29b3454 DH |
1318 | ;;; |
1319 | ;;; = | |
1320 | ;;; | |
1321 | ||
7c24e528 RB |
1322 | (with-test-prefix "=" |
1323 | (expect-fail (documented? =)) | |
1324 | (pass-if (= 0 0)) | |
1325 | (pass-if (= 7 7)) | |
1326 | (pass-if (= -7 -7)) | |
1327 | (pass-if (= (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
47ae1f0e | 1328 | (pass-if (= (- fixnum-min 1) (- fixnum-min 1))) |
4d332f19 DH |
1329 | (pass-if (not (= 0 1))) |
1330 | (pass-if (not (= fixnum-max (+ 1 fixnum-max)))) | |
1331 | (pass-if (not (= (+ 1 fixnum-max) fixnum-max))) | |
47ae1f0e | 1332 | (pass-if (not (= (+ 1 fixnum-max) (+ 2 fixnum-max)))) |
4d332f19 DH |
1333 | (pass-if (not (= fixnum-min (- fixnum-min 1)))) |
1334 | (pass-if (not (= (- fixnum-min 1) fixnum-min))) | |
47ae1f0e | 1335 | (pass-if (not (= (- fixnum-min 1) (- fixnum-min 2)))) |
4d332f19 | 1336 | (pass-if (not (= (+ fixnum-max 1) (- fixnum-min 1)))) |
2cfcaed5 | 1337 | |
adda36ed KR |
1338 | (pass-if (not (= (ash 1 256) +inf.0))) |
1339 | (pass-if (not (= +inf.0 (ash 1 256)))) | |
1340 | (pass-if (not (= (ash 1 256) -inf.0))) | |
1341 | (pass-if (not (= -inf.0 (ash 1 256)))) | |
1342 | ||
1343 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
1344 | ;; sure we've avoided that | |
1345 | (pass-if (not (= (ash 1 1024) +inf.0))) | |
1346 | (pass-if (not (= +inf.0 (ash 1 1024)))) | |
1347 | (pass-if (not (= (- (ash 1 1024)) -inf.0))) | |
1348 | (pass-if (not (= -inf.0 (- (ash 1 1024))))) | |
1349 | ||
2cfcaed5 KR |
1350 | (pass-if (not (= +nan.0 +nan.0))) |
1351 | (pass-if (not (= 0 +nan.0))) | |
1352 | (pass-if (not (= +nan.0 0))) | |
1353 | (pass-if (not (= 1 +nan.0))) | |
1354 | (pass-if (not (= +nan.0 1))) | |
1355 | (pass-if (not (= -1 +nan.0))) | |
1356 | (pass-if (not (= +nan.0 -1))) | |
1357 | ||
1358 | (pass-if (not (= (ash 1 256) +nan.0))) | |
1359 | (pass-if (not (= +nan.0 (ash 1 256)))) | |
1360 | (pass-if (not (= (- (ash 1 256)) +nan.0))) | |
1361 | (pass-if (not (= +nan.0 (- (ash 1 256))))) | |
1362 | ||
1363 | (pass-if (not (= (ash 1 8192) +nan.0))) | |
1364 | (pass-if (not (= +nan.0 (ash 1 8192)))) | |
1365 | (pass-if (not (= (- (ash 1 8192)) +nan.0))) | |
1366 | (pass-if (not (= +nan.0 (- (ash 1 8192))))) | |
1367 | ||
1368 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
1369 | ;; sure we've avoided that | |
1370 | (pass-if (not (= (ash 3 1023) +nan.0))) | |
2a8b5e04 KR |
1371 | (pass-if (not (= +nan.0 (ash 3 1023)))) |
1372 | ||
1373 | (pass-if (= 1/2 0.5)) | |
1374 | (pass-if (not (= 1/3 0.333333333333333333333333333333333))) | |
1375 | (pass-if (not (= 2/3 0.5))) | |
1376 | (pass-if (not (= 0.5 (+ 1/2 (/ 1 (ash 1 1000)))))) | |
1377 | ||
1378 | (pass-if (= 1/2 0.5+0i)) | |
1379 | (pass-if (not (= 0.333333333333333333333333333333333 1/3))) | |
1380 | (pass-if (not (= 2/3 0.5+0i))) | |
1381 | (pass-if (not (= 1/2 0+0.5i))) | |
1382 | ||
1383 | (pass-if (= 0.5 1/2)) | |
1384 | (pass-if (not (= 0.5 2/3))) | |
1385 | (pass-if (not (= (+ 1/2 (/ 1 (ash 1 1000))) 0.5))) | |
1386 | ||
1387 | (pass-if (= 0.5+0i 1/2)) | |
1388 | (pass-if (not (= 0.5+0i 2/3))) | |
1389 | (pass-if (not (= 0+0.5i 1/2)))) | |
7c24e528 | 1390 | |
de142bea DH |
1391 | ;;; |
1392 | ;;; < | |
1393 | ;;; | |
1394 | ||
1395 | (with-test-prefix "<" | |
1396 | ||
de142bea | 1397 | (expect-fail "documented?" |
cb18f2a8 | 1398 | (documented? <)) |
de142bea | 1399 | |
de142bea DH |
1400 | (with-test-prefix "(< 0 n)" |
1401 | ||
1402 | (pass-if "n = 0" | |
1403 | (not (< 0 0))) | |
1404 | ||
1405 | (pass-if "n = 0.0" | |
1406 | (not (< 0 0.0))) | |
1407 | ||
1408 | (pass-if "n = 1" | |
1409 | (< 0 1)) | |
1410 | ||
1411 | (pass-if "n = 1.0" | |
1412 | (< 0 1.0)) | |
1413 | ||
1414 | (pass-if "n = -1" | |
1415 | (not (< 0 -1))) | |
1416 | ||
1417 | (pass-if "n = -1.0" | |
1418 | (not (< 0 -1.0))) | |
1419 | ||
21e39e8f DH |
1420 | (pass-if "n = fixnum-max" |
1421 | (< 0 fixnum-max)) | |
1422 | ||
1423 | (pass-if "n = fixnum-max + 1" | |
1424 | (< 0 (+ fixnum-max 1))) | |
1425 | ||
1426 | (pass-if "n = fixnum-min" | |
1427 | (not (< 0 fixnum-min))) | |
de142bea | 1428 | |
21e39e8f DH |
1429 | (pass-if "n = fixnum-min - 1" |
1430 | (not (< 0 (- fixnum-min 1))))) | |
1431 | ||
de142bea DH |
1432 | (with-test-prefix "(< 0.0 n)" |
1433 | ||
1434 | (pass-if "n = 0" | |
1435 | (not (< 0.0 0))) | |
1436 | ||
1437 | (pass-if "n = 0.0" | |
1438 | (not (< 0.0 0.0))) | |
1439 | ||
1440 | (pass-if "n = 1" | |
1441 | (< 0.0 1)) | |
1442 | ||
1443 | (pass-if "n = 1.0" | |
1444 | (< 0.0 1.0)) | |
1445 | ||
1446 | (pass-if "n = -1" | |
1447 | (not (< 0.0 -1))) | |
1448 | ||
1449 | (pass-if "n = -1.0" | |
1450 | (not (< 0.0 -1.0))) | |
1451 | ||
21e39e8f DH |
1452 | (pass-if "n = fixnum-max" |
1453 | (< 0.0 fixnum-max)) | |
1454 | ||
1455 | (pass-if "n = fixnum-max + 1" | |
1456 | (< 0.0 (+ fixnum-max 1))) | |
de142bea | 1457 | |
21e39e8f DH |
1458 | (pass-if "n = fixnum-min" |
1459 | (not (< 0.0 fixnum-min))) | |
1460 | ||
1461 | (pass-if "n = fixnum-min - 1" | |
1462 | (not (< 0.0 (- fixnum-min 1))))) | |
1463 | ||
1464 | (with-test-prefix "(< 1 n)" | |
de142bea | 1465 | |
21e39e8f | 1466 | (pass-if "n = 0" |
de142bea DH |
1467 | (not (< 1 0))) |
1468 | ||
21e39e8f DH |
1469 | (pass-if "n = 0.0" |
1470 | (not (< 1 0.0))) | |
1471 | ||
1472 | (pass-if "n = 1" | |
1473 | (not (< 1 1))) | |
1474 | ||
de142bea | 1475 | (pass-if "n = 1.0" |
21e39e8f DH |
1476 | (not (< 1 1.0))) |
1477 | ||
1478 | (pass-if "n = -1" | |
1479 | (not (< 1 -1))) | |
1480 | ||
1481 | (pass-if "n = -1.0" | |
1482 | (not (< 1 -1.0))) | |
1483 | ||
1484 | (pass-if "n = fixnum-max" | |
1485 | (< 1 fixnum-max)) | |
1486 | ||
1487 | (pass-if "n = fixnum-max + 1" | |
1488 | (< 1 (+ fixnum-max 1))) | |
1489 | ||
1490 | (pass-if "n = fixnum-min" | |
1491 | (not (< 1 fixnum-min))) | |
1492 | ||
1493 | (pass-if "n = fixnum-min - 1" | |
1494 | (not (< 1 (- fixnum-min 1))))) | |
1495 | ||
1496 | (with-test-prefix "(< 1.0 n)" | |
1497 | ||
1498 | (pass-if "n = 0" | |
de142bea DH |
1499 | (not (< 1.0 0))) |
1500 | ||
21e39e8f DH |
1501 | (pass-if "n = 0.0" |
1502 | (not (< 1.0 0.0))) | |
1503 | ||
1504 | (pass-if "n = 1" | |
1505 | (not (< 1.0 1))) | |
1506 | ||
1507 | (pass-if "n = 1.0" | |
1508 | (not (< 1.0 1.0))) | |
1509 | ||
de142bea | 1510 | (pass-if "n = -1" |
21e39e8f DH |
1511 | (not (< 1.0 -1))) |
1512 | ||
1513 | (pass-if "n = -1.0" | |
1514 | (not (< 1.0 -1.0))) | |
1515 | ||
1516 | (pass-if "n = fixnum-max" | |
1517 | (< 1.0 fixnum-max)) | |
1518 | ||
1519 | (pass-if "n = fixnum-max + 1" | |
1520 | (< 1.0 (+ fixnum-max 1))) | |
1521 | ||
1522 | (pass-if "n = fixnum-min" | |
1523 | (not (< 1.0 fixnum-min))) | |
1524 | ||
1525 | (pass-if "n = fixnum-min - 1" | |
1526 | (not (< 1.0 (- fixnum-min 1))))) | |
1527 | ||
1528 | (with-test-prefix "(< -1 n)" | |
1529 | ||
1530 | (pass-if "n = 0" | |
de142bea DH |
1531 | (< -1 0)) |
1532 | ||
21e39e8f DH |
1533 | (pass-if "n = 0.0" |
1534 | (< -1 0.0)) | |
1535 | ||
1536 | (pass-if "n = 1" | |
1537 | (< -1 1)) | |
1538 | ||
1539 | (pass-if "n = 1.0" | |
1540 | (< -1 1.0)) | |
1541 | ||
1542 | (pass-if "n = -1" | |
1543 | (not (< -1 -1))) | |
1544 | ||
de142bea | 1545 | (pass-if "n = -1.0" |
21e39e8f DH |
1546 | (not (< -1 -1.0))) |
1547 | ||
1548 | (pass-if "n = fixnum-max" | |
1549 | (< -1 fixnum-max)) | |
1550 | ||
1551 | (pass-if "n = fixnum-max + 1" | |
1552 | (< -1 (+ fixnum-max 1))) | |
1553 | ||
1554 | (pass-if "n = fixnum-min" | |
1555 | (not (< -1 fixnum-min))) | |
1556 | ||
1557 | (pass-if "n = fixnum-min - 1" | |
1558 | (not (< -1 (- fixnum-min 1))))) | |
1559 | ||
1560 | (with-test-prefix "(< -1.0 n)" | |
1561 | ||
1562 | (pass-if "n = 0" | |
de142bea DH |
1563 | (< -1.0 0)) |
1564 | ||
21e39e8f DH |
1565 | (pass-if "n = 0.0" |
1566 | (< -1.0 0.0)) | |
1567 | ||
1568 | (pass-if "n = 1" | |
1569 | (< -1.0 1)) | |
1570 | ||
1571 | (pass-if "n = 1.0" | |
1572 | (< -1.0 1.0)) | |
1573 | ||
1574 | (pass-if "n = -1" | |
1575 | (not (< -1.0 -1))) | |
1576 | ||
1577 | (pass-if "n = -1.0" | |
1578 | (not (< -1.0 -1.0))) | |
1579 | ||
1580 | (pass-if "n = fixnum-max" | |
1581 | (< -1.0 fixnum-max)) | |
1582 | ||
1583 | (pass-if "n = fixnum-max + 1" | |
1584 | (< -1.0 (+ fixnum-max 1))) | |
de142bea | 1585 | |
21e39e8f DH |
1586 | (pass-if "n = fixnum-min" |
1587 | (not (< -1.0 fixnum-min))) | |
1588 | ||
1589 | (pass-if "n = fixnum-min - 1" | |
1590 | (not (< -1.0 (- fixnum-min 1))))) | |
1591 | ||
1592 | (with-test-prefix "(< fixnum-max n)" | |
1593 | ||
1594 | (pass-if "n = 0" | |
1595 | (not (< fixnum-max 0))) | |
1596 | ||
1597 | (pass-if "n = 0.0" | |
1598 | (not (< fixnum-max 0.0))) | |
de142bea DH |
1599 | |
1600 | (pass-if "n = 1" | |
21e39e8f | 1601 | (not (< fixnum-max 1))) |
de142bea DH |
1602 | |
1603 | (pass-if "n = 1.0" | |
21e39e8f | 1604 | (not (< fixnum-max 1.0))) |
de142bea DH |
1605 | |
1606 | (pass-if "n = -1" | |
21e39e8f | 1607 | (not (< fixnum-max -1))) |
de142bea DH |
1608 | |
1609 | (pass-if "n = -1.0" | |
21e39e8f | 1610 | (not (< fixnum-max -1.0))) |
de142bea | 1611 | |
21e39e8f DH |
1612 | (pass-if "n = fixnum-max" |
1613 | (not (< fixnum-max fixnum-max))) | |
de142bea | 1614 | |
21e39e8f DH |
1615 | (pass-if "n = fixnum-max + 1" |
1616 | (< fixnum-max (+ fixnum-max 1))) | |
1617 | ||
1618 | (pass-if "n = fixnum-min" | |
1619 | (not (< fixnum-max fixnum-min))) | |
1620 | ||
1621 | (pass-if "n = fixnum-min - 1" | |
1622 | (not (< fixnum-max (- fixnum-min 1))))) | |
1623 | ||
1624 | (with-test-prefix "(< (+ fixnum-max 1) n)" | |
1625 | ||
1626 | (pass-if "n = 0" | |
1627 | (not (< (+ fixnum-max 1) 0))) | |
1628 | ||
1629 | (pass-if "n = 0.0" | |
1630 | (not (< (+ fixnum-max 1) 0.0))) | |
de142bea DH |
1631 | |
1632 | (pass-if "n = 1" | |
21e39e8f | 1633 | (not (< (+ fixnum-max 1) 1))) |
de142bea DH |
1634 | |
1635 | (pass-if "n = 1.0" | |
21e39e8f | 1636 | (not (< (+ fixnum-max 1) 1.0))) |
de142bea DH |
1637 | |
1638 | (pass-if "n = -1" | |
21e39e8f | 1639 | (not (< (+ fixnum-max 1) -1))) |
de142bea DH |
1640 | |
1641 | (pass-if "n = -1.0" | |
21e39e8f | 1642 | (not (< (+ fixnum-max 1) -1.0))) |
de142bea | 1643 | |
21e39e8f DH |
1644 | (pass-if "n = fixnum-max" |
1645 | (not (< (+ fixnum-max 1) fixnum-max))) | |
de142bea | 1646 | |
21e39e8f DH |
1647 | (pass-if "n = fixnum-max + 1" |
1648 | (not (< (+ fixnum-max 1) (+ fixnum-max 1)))) | |
de142bea | 1649 | |
21e39e8f DH |
1650 | (pass-if "n = fixnum-min" |
1651 | (not (< (+ fixnum-max 1) fixnum-min))) | |
1652 | ||
1653 | (pass-if "n = fixnum-min - 1" | |
1654 | (not (< (+ fixnum-max 1) (- fixnum-min 1))))) | |
1655 | ||
1656 | (with-test-prefix "(< fixnum-min n)" | |
1657 | ||
1658 | (pass-if "n = 0" | |
1659 | (< fixnum-min 0)) | |
1660 | ||
1661 | (pass-if "n = 0.0" | |
1662 | (< fixnum-min 0.0)) | |
de142bea DH |
1663 | |
1664 | (pass-if "n = 1" | |
21e39e8f | 1665 | (< fixnum-min 1)) |
de142bea DH |
1666 | |
1667 | (pass-if "n = 1.0" | |
21e39e8f | 1668 | (< fixnum-min 1.0)) |
de142bea DH |
1669 | |
1670 | (pass-if "n = -1" | |
21e39e8f | 1671 | (< fixnum-min -1)) |
de142bea DH |
1672 | |
1673 | (pass-if "n = -1.0" | |
21e39e8f | 1674 | (< fixnum-min -1.0)) |
de142bea | 1675 | |
21e39e8f DH |
1676 | (pass-if "n = fixnum-max" |
1677 | (< fixnum-min fixnum-max)) | |
1678 | ||
1679 | (pass-if "n = fixnum-max + 1" | |
1680 | (< fixnum-min (+ fixnum-max 1))) | |
de142bea | 1681 | |
21e39e8f DH |
1682 | (pass-if "n = fixnum-min" |
1683 | (not (< fixnum-min fixnum-min))) | |
de142bea | 1684 | |
21e39e8f DH |
1685 | (pass-if "n = fixnum-min - 1" |
1686 | (not (< fixnum-min (- fixnum-min 1))))) | |
1687 | ||
1688 | (with-test-prefix "(< (- fixnum-min 1) n)" | |
1689 | ||
1690 | (pass-if "n = 0" | |
1691 | (< (- fixnum-min 1) 0)) | |
1692 | ||
1693 | (pass-if "n = 0.0" | |
1694 | (< (- fixnum-min 1) 0.0)) | |
1695 | ||
1696 | (pass-if "n = 1" | |
1697 | (< (- fixnum-min 1) 1)) | |
1698 | ||
1699 | (pass-if "n = 1.0" | |
1700 | (< (- fixnum-min 1) 1.0)) | |
de142bea DH |
1701 | |
1702 | (pass-if "n = -1" | |
21e39e8f | 1703 | (< (- fixnum-min 1) -1)) |
de142bea DH |
1704 | |
1705 | (pass-if "n = -1.0" | |
21e39e8f DH |
1706 | (< (- fixnum-min 1) -1.0)) |
1707 | ||
1708 | (pass-if "n = fixnum-max" | |
1709 | (< (- fixnum-min 1) fixnum-max)) | |
1710 | ||
1711 | (pass-if "n = fixnum-max + 1" | |
1712 | (< (- fixnum-min 1) (+ fixnum-max 1))) | |
1713 | ||
1714 | (pass-if "n = fixnum-min" | |
1715 | (< (- fixnum-min 1) fixnum-min)) | |
1716 | ||
1717 | (pass-if "n = fixnum-min - 1" | |
2cfcaed5 KR |
1718 | (not (< (- fixnum-min 1) (- fixnum-min 1))))) |
1719 | ||
adda36ed KR |
1720 | (pass-if (< (ash 1 256) +inf.0)) |
1721 | (pass-if (not (< +inf.0 (ash 1 256)))) | |
1722 | (pass-if (not (< (ash 1 256) -inf.0))) | |
1723 | (pass-if (< -inf.0 (ash 1 256))) | |
1724 | ||
1725 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
1726 | ;; sure we've avoided that | |
1727 | (pass-if (< (1- (ash 1 1024)) +inf.0)) | |
1728 | (pass-if (< (ash 1 1024) +inf.0)) | |
1729 | (pass-if (< (1+ (ash 1 1024)) +inf.0)) | |
1730 | (pass-if (not (< +inf.0 (1- (ash 1 1024))))) | |
1731 | (pass-if (not (< +inf.0 (ash 1 1024)))) | |
1732 | (pass-if (not (< +inf.0 (1+ (ash 1 1024))))) | |
1733 | (pass-if (< -inf.0 (- (1- (ash 1 1024))))) | |
1734 | (pass-if (< -inf.0 (- (ash 1 1024)))) | |
1735 | (pass-if (< -inf.0 (- (1+ (ash 1 1024))))) | |
1736 | (pass-if (not (< (- (1- (ash 1 1024))) -inf.0))) | |
1737 | (pass-if (not (< (- (ash 1 1024)) -inf.0))) | |
1738 | (pass-if (not (< (- (1+ (ash 1 1024))) -inf.0))) | |
1739 | ||
2cfcaed5 KR |
1740 | (pass-if (not (< +nan.0 +nan.0))) |
1741 | (pass-if (not (< 0 +nan.0))) | |
1742 | (pass-if (not (< +nan.0 0))) | |
1743 | (pass-if (not (< 1 +nan.0))) | |
1744 | (pass-if (not (< +nan.0 1))) | |
1745 | (pass-if (not (< -1 +nan.0))) | |
1746 | (pass-if (not (< +nan.0 -1))) | |
1747 | ||
1748 | (pass-if (not (< (ash 1 256) +nan.0))) | |
1749 | (pass-if (not (< +nan.0 (ash 1 256)))) | |
1750 | (pass-if (not (< (- (ash 1 256)) +nan.0))) | |
1751 | (pass-if (not (< +nan.0 (- (ash 1 256))))) | |
1752 | ||
1753 | (pass-if (not (< (ash 1 8192) +nan.0))) | |
1754 | (pass-if (not (< +nan.0 (ash 1 8192)))) | |
1755 | (pass-if (not (< (- (ash 1 8192)) +nan.0))) | |
1756 | (pass-if (not (< +nan.0 (- (ash 1 8192))))) | |
1757 | ||
1758 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
1759 | ;; sure we've avoided that | |
1760 | (pass-if (not (< (ash 3 1023) +nan.0))) | |
1761 | (pass-if (not (< (1+ (ash 3 1023)) +nan.0))) | |
1762 | (pass-if (not (< (1- (ash 3 1023)) +nan.0))) | |
1763 | (pass-if (not (< +nan.0 (ash 3 1023)))) | |
1764 | (pass-if (not (< +nan.0 (1+ (ash 3 1023))))) | |
fe89421e KR |
1765 | (pass-if (not (< +nan.0 (1- (ash 3 1023))))) |
1766 | ||
1767 | (with-test-prefix "inum/frac" | |
1768 | (pass-if (< 2 9/4)) | |
1769 | (pass-if (< -2 9/4)) | |
1770 | (pass-if (< -2 7/4)) | |
1771 | (pass-if (< -2 -7/4)) | |
1772 | (pass-if (eq? #f (< 2 7/4))) | |
1773 | (pass-if (eq? #f (< 2 -7/4))) | |
1774 | (pass-if (eq? #f (< 2 -9/4))) | |
1775 | (pass-if (eq? #f (< -2 -9/4)))) | |
1776 | ||
1777 | (with-test-prefix "bignum/frac" | |
1778 | (let ((x (ash 1 2048))) | |
1779 | (pass-if (< x (* 4/3 x))) | |
1780 | (pass-if (< (- x) (* 4/3 x))) | |
1781 | (pass-if (< (- x) (* 2/3 x))) | |
1782 | (pass-if (< (- x) (* -2/3 x))) | |
1783 | (pass-if (eq? #f (< x (* 2/3 x)))) | |
1784 | (pass-if (eq? #f (< x (* -2/3 x)))) | |
1785 | (pass-if (eq? #f (< x (* -4/3 x)))) | |
1786 | (pass-if (eq? #f (< (- x) (* -4/3 x)))))) | |
1787 | ||
1788 | (with-test-prefix "flonum/frac" | |
1789 | (pass-if (< 0.75 4/3)) | |
1790 | (pass-if (< -0.75 4/3)) | |
1791 | (pass-if (< -0.75 2/3)) | |
1792 | (pass-if (< -0.75 -2/3)) | |
1793 | (pass-if (eq? #f (< 0.75 2/3))) | |
1794 | (pass-if (eq? #f (< 0.75 -2/3))) | |
1795 | (pass-if (eq? #f (< 0.75 -4/3))) | |
1796 | (pass-if (eq? #f (< -0.75 -4/3))) | |
1797 | ||
1798 | (pass-if (< -inf.0 4/3)) | |
1799 | (pass-if (< -inf.0 -4/3)) | |
1800 | (pass-if (eq? #f (< +inf.0 4/3))) | |
1801 | (pass-if (eq? #f (< +inf.0 -4/3))) | |
1802 | ||
1803 | (pass-if (eq? #f (< +nan.0 4/3))) | |
1804 | (pass-if (eq? #f (< +nan.0 -4/3)))) | |
1805 | ||
1806 | (with-test-prefix "frac/inum" | |
1807 | (pass-if (< 7/4 2)) | |
1808 | (pass-if (< -7/4 2)) | |
1809 | (pass-if (< -9/4 2)) | |
1810 | (pass-if (< -9/4 -2)) | |
1811 | (pass-if (eq? #f (< 9/4 2))) | |
1812 | (pass-if (eq? #f (< 9/4 -2))) | |
1813 | (pass-if (eq? #f (< 7/4 -2))) | |
1814 | (pass-if (eq? #f (< -7/4 -2)))) | |
1815 | ||
1816 | (with-test-prefix "frac/bignum" | |
1817 | (let ((x (ash 1 2048))) | |
1818 | (pass-if (< (* 2/3 x) x)) | |
1819 | (pass-if (< (* -2/3 x) x)) | |
1820 | (pass-if (< (* -4/3 x) x)) | |
1821 | (pass-if (< (* -4/3 x) (- x))) | |
1822 | (pass-if (eq? #f (< (* 4/3 x) x))) | |
1823 | (pass-if (eq? #f (< (* 4/3 x) (- x)))) | |
1824 | (pass-if (eq? #f (< (* 2/3 x) (- x)))) | |
1825 | (pass-if (eq? #f (< (* -2/3 x) (- x)))))) | |
1826 | ||
1827 | (with-test-prefix "frac/flonum" | |
1828 | (pass-if (< 2/3 0.75)) | |
1829 | (pass-if (< -2/3 0.75)) | |
1830 | (pass-if (< -4/3 0.75)) | |
1831 | (pass-if (< -4/3 -0.75)) | |
1832 | (pass-if (eq? #f (< 4/3 0.75))) | |
1833 | (pass-if (eq? #f (< 4/3 -0.75))) | |
1834 | (pass-if (eq? #f (< 2/3 -0.75))) | |
1835 | (pass-if (eq? #f (< -2/3 -0.75))) | |
1836 | ||
1837 | (pass-if (< 4/3 +inf.0)) | |
1838 | (pass-if (< -4/3 +inf.0)) | |
1839 | (pass-if (eq? #f (< 4/3 -inf.0))) | |
1840 | (pass-if (eq? #f (< -4/3 -inf.0))) | |
1841 | ||
1842 | (pass-if (eq? #f (< 4/3 +nan.0))) | |
1843 | (pass-if (eq? #f (< -4/3 +nan.0)))) | |
1844 | ||
1845 | (with-test-prefix "frac/frac" | |
1846 | (pass-if (< 2/3 6/7)) | |
1847 | (pass-if (< -2/3 6/7)) | |
1848 | (pass-if (< -4/3 6/7)) | |
1849 | (pass-if (< -4/3 -6/7)) | |
1850 | (pass-if (eq? #f (< 4/3 6/7))) | |
1851 | (pass-if (eq? #f (< 4/3 -6/7))) | |
1852 | (pass-if (eq? #f (< 2/3 -6/7))) | |
1853 | (pass-if (eq? #f (< -2/3 -6/7))))) | |
f29b3454 DH |
1854 | |
1855 | ;;; | |
1856 | ;;; > | |
1857 | ;;; | |
1858 | ||
7c24e528 RB |
1859 | ;; currently not tested -- implementation is trivial |
1860 | ;; (> x y) is implemented as (< y x) | |
1861 | ;; FIXME: tests should probably be added in case we change implementation. | |
1862 | ||
f29b3454 DH |
1863 | ;;; |
1864 | ;;; <= | |
1865 | ;;; | |
1866 | ||
7c24e528 RB |
1867 | ;; currently not tested -- implementation is trivial |
1868 | ;; (<= x y) is implemented as (not (< y x)) | |
1869 | ;; FIXME: tests should probably be added in case we change implementation. | |
1870 | ||
f29b3454 DH |
1871 | ;;; |
1872 | ;;; >= | |
1873 | ;;; | |
1874 | ||
7c24e528 RB |
1875 | ;; currently not tested -- implementation is trivial |
1876 | ;; (>= x y) is implemented as (not (< x y)) | |
1877 | ;; FIXME: tests should probably be added in case we change implementation. | |
1878 | ||
f29b3454 DH |
1879 | ;;; |
1880 | ;;; zero? | |
1881 | ;;; | |
1882 | ||
7c24e528 RB |
1883 | (with-test-prefix "zero?" |
1884 | (expect-fail (documented? zero?)) | |
1885 | (pass-if (zero? 0)) | |
4d332f19 DH |
1886 | (pass-if (not (zero? 7))) |
1887 | (pass-if (not (zero? -7))) | |
1888 | (pass-if (not (zero? (+ 1 fixnum-max)))) | |
1889 | (pass-if (not (zero? (- 1 fixnum-min)))) | |
1890 | (pass-if (not (zero? 1.3))) | |
1891 | (pass-if (not (zero? 3.1+4.2i)))) | |
7c24e528 | 1892 | |
f29b3454 DH |
1893 | ;;; |
1894 | ;;; positive? | |
1895 | ;;; | |
1896 | ||
7c24e528 RB |
1897 | (with-test-prefix "positive?" |
1898 | (expect-fail (documented? positive?)) | |
1899 | (pass-if (positive? 1)) | |
1900 | (pass-if (positive? (+ fixnum-max 1))) | |
1901 | (pass-if (positive? 1.3)) | |
4d332f19 DH |
1902 | (pass-if (not (positive? 0))) |
1903 | (pass-if (not (positive? -1))) | |
1904 | (pass-if (not (positive? (- fixnum-min 1)))) | |
1905 | (pass-if (not (positive? -1.3)))) | |
7c24e528 | 1906 | |
f29b3454 DH |
1907 | ;;; |
1908 | ;;; negative? | |
1909 | ;;; | |
1910 | ||
7c24e528 RB |
1911 | (with-test-prefix "negative?" |
1912 | (expect-fail (documented? negative?)) | |
4d332f19 DH |
1913 | (pass-if (not (negative? 1))) |
1914 | (pass-if (not (negative? (+ fixnum-max 1)))) | |
1915 | (pass-if (not (negative? 1.3))) | |
1916 | (pass-if (not (negative? 0))) | |
7c24e528 RB |
1917 | (pass-if (negative? -1)) |
1918 | (pass-if (negative? (- fixnum-min 1))) | |
1919 | (pass-if (negative? -1.3))) | |
1920 | ||
f29b3454 DH |
1921 | ;;; |
1922 | ;;; max | |
1923 | ;;; | |
1924 | ||
adda36ed | 1925 | (with-test-prefix "max" |
593a4c2f KR |
1926 | (pass-if-exception "no args" exception:wrong-num-args |
1927 | (max)) | |
1928 | ||
1929 | (pass-if-exception "one complex" exception:wrong-type-arg | |
1930 | (max 1+i)) | |
1931 | ||
1932 | (pass-if-exception "inum/complex" exception:wrong-type-arg | |
1933 | (max 123 1+i)) | |
1934 | (pass-if-exception "big/complex" exception:wrong-type-arg | |
1935 | (max 9999999999999999999999999999999999999999 1+i)) | |
1936 | (pass-if-exception "real/complex" exception:wrong-type-arg | |
1937 | (max 123.0 1+i)) | |
1938 | (pass-if-exception "frac/complex" exception:wrong-type-arg | |
1939 | (max 123/456 1+i)) | |
1940 | ||
1941 | (pass-if-exception "complex/inum" exception:wrong-type-arg | |
1942 | (max 1+i 123)) | |
1943 | (pass-if-exception "complex/big" exception:wrong-type-arg | |
1944 | (max 1+i 9999999999999999999999999999999999999999)) | |
1945 | (pass-if-exception "complex/real" exception:wrong-type-arg | |
1946 | (max 1+i 123.0)) | |
1947 | (pass-if-exception "complex/frac" exception:wrong-type-arg | |
1948 | (max 1+i 123/456)) | |
1949 | ||
adda36ed KR |
1950 | (let ((big*2 (* fixnum-max 2)) |
1951 | (big*3 (* fixnum-max 3)) | |
1952 | (big*4 (* fixnum-max 4)) | |
1953 | (big*5 (* fixnum-max 5))) | |
501da403 | 1954 | |
23d77957 KR |
1955 | (with-test-prefix "inum / real" |
1956 | (pass-if (nan? (max 123 +nan.0)))) | |
1957 | ||
1958 | (with-test-prefix "real / inum" | |
1959 | (pass-if (nan? (max +nan.0 123)))) | |
1960 | ||
1961 | (with-test-prefix "big / real" | |
1962 | (pass-if (nan? (max big*5 +nan.0))) | |
1963 | (pass-if (= big*5 (max big*5 -inf.0))) | |
1964 | (pass-if (= +inf.0 (max big*5 +inf.0))) | |
1965 | (pass-if (= 1.0 (max (- big*5) 1.0))) | |
1966 | (pass-if (inexact? (max big*5 1.0))) | |
1967 | (pass-if (= (exact->inexact big*5) (max big*5 1.0)))) | |
1968 | ||
1969 | (with-test-prefix "real / big" | |
1970 | (pass-if (nan? (max +nan.0 big*5))) | |
1971 | (pass-if (= +inf.0 (max +inf.0 big*5))) | |
1972 | (pass-if (= big*5 (max -inf.0 big*5))) | |
1973 | (pass-if (= 1.0 (max 1.0 (- big*5)))) | |
1974 | (pass-if (inexact? (max 1.0 big*5))) | |
1975 | (pass-if (= (exact->inexact big*5) (max 1.0 big*5)))) | |
1976 | ||
1977 | (with-test-prefix "real / real" | |
1978 | (pass-if (nan? (max 123.0 +nan.0))) | |
1979 | (pass-if (nan? (max +nan.0 123.0))) | |
1980 | (pass-if (nan? (max +nan.0 +nan.0))) | |
1981 | (pass-if (= 456.0 (max 123.0 456.0))) | |
1982 | (pass-if (= 456.0 (max 456.0 123.0))))) | |
adda36ed KR |
1983 | |
1984 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
1985 | ;; sure we've avoided that | |
1986 | (for-each (lambda (b) | |
1987 | (pass-if (list b +inf.0) | |
1988 | (= +inf.0 (max b +inf.0))) | |
1989 | (pass-if (list +inf.0 b) | |
1990 | (= +inf.0 (max b +inf.0))) | |
1991 | (pass-if (list b -inf.0) | |
23d77957 | 1992 | (= (exact->inexact b) (max b -inf.0))) |
adda36ed | 1993 | (pass-if (list -inf.0 b) |
23d77957 | 1994 | (= (exact->inexact b) (max b -inf.0)))) |
adda36ed KR |
1995 | (list (1- (ash 1 1024)) |
1996 | (ash 1 1024) | |
1997 | (1+ (ash 1 1024)) | |
1998 | (- (1- (ash 1 1024))) | |
1999 | (- (ash 1 1024)) | |
501da403 KR |
2000 | (- (1+ (ash 1 1024))))) |
2001 | ||
2002 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
2003 | ;; sure we've avoided that | |
2004 | (pass-if (nan? (max (ash 1 2048) +nan.0))) | |
2005 | (pass-if (nan? (max +nan.0 (ash 1 2048))))) | |
adda36ed | 2006 | |
f29b3454 DH |
2007 | ;;; |
2008 | ;;; min | |
2009 | ;;; | |
2010 | ||
7c24e528 RB |
2011 | ;; FIXME: unfinished... |
2012 | ||
2013 | (with-test-prefix "min" | |
593a4c2f KR |
2014 | (pass-if-exception "no args" exception:wrong-num-args |
2015 | (min)) | |
2016 | ||
2017 | (pass-if-exception "one complex" exception:wrong-type-arg | |
2018 | (min 1+i)) | |
2019 | ||
2020 | (pass-if-exception "inum/complex" exception:wrong-type-arg | |
2021 | (min 123 1+i)) | |
2022 | (pass-if-exception "big/complex" exception:wrong-type-arg | |
2023 | (min 9999999999999999999999999999999999999999 1+i)) | |
2024 | (pass-if-exception "real/complex" exception:wrong-type-arg | |
2025 | (min 123.0 1+i)) | |
2026 | (pass-if-exception "frac/complex" exception:wrong-type-arg | |
2027 | (min 123/456 1+i)) | |
2028 | ||
2029 | (pass-if-exception "complex/inum" exception:wrong-type-arg | |
2030 | (min 1+i 123)) | |
2031 | (pass-if-exception "complex/big" exception:wrong-type-arg | |
2032 | (min 1+i 9999999999999999999999999999999999999999)) | |
2033 | (pass-if-exception "complex/real" exception:wrong-type-arg | |
2034 | (min 1+i 123.0)) | |
2035 | (pass-if-exception "complex/frac" exception:wrong-type-arg | |
2036 | (min 1+i 123/456)) | |
2037 | ||
7c24e528 RB |
2038 | (let ((big*2 (* fixnum-max 2)) |
2039 | (big*3 (* fixnum-max 3)) | |
2040 | (big*4 (* fixnum-max 4)) | |
2041 | (big*5 (* fixnum-max 5))) | |
23d77957 | 2042 | |
7c24e528 RB |
2043 | (expect-fail (documented? max)) |
2044 | (pass-if (= 1 (min 7 3 1 5))) | |
2045 | (pass-if (= 1 (min 1 7 3 5))) | |
2046 | (pass-if (= 1 (min 7 3 5 1))) | |
2047 | (pass-if (= -7 (min 2 3 4 -2 5 -7 1 -1 4 2))) | |
2048 | (pass-if (= -7 (min -7 2 3 4 -2 5 1 -1 4 2))) | |
2049 | (pass-if (= -7 (min 2 3 4 -2 5 1 -1 4 2 -7))) | |
2050 | (pass-if (= big*2 (min big*3 big*5 big*2 big*4))) | |
2051 | (pass-if (= big*2 (min big*2 big*3 big*5 big*4))) | |
2052 | (pass-if (= big*2 (min big*3 big*5 big*4 big*2))) | |
2053 | (pass-if | |
2054 | (= (- fixnum-min 1) (min 2 4 (- fixnum-min 1) 3 (* 2 fixnum-max)))) | |
2055 | (pass-if | |
2056 | (= (- fixnum-min 1) (min (- fixnum-min 1) 2 4 3 (* 2 fixnum-max)))) | |
2057 | (pass-if | |
adda36ed | 2058 | (= (- fixnum-min 1) (min 2 4 3 (* 2 fixnum-max) (- fixnum-min 1)))) |
23d77957 KR |
2059 | |
2060 | (with-test-prefix "inum / real" | |
2061 | (pass-if (nan? (min 123 +nan.0)))) | |
2062 | ||
2063 | (with-test-prefix "real / inum" | |
2064 | (pass-if (nan? (min +nan.0 123)))) | |
2065 | ||
2066 | (with-test-prefix "big / real" | |
2067 | (pass-if (nan? (min big*5 +nan.0))) | |
2068 | (pass-if (= big*5 (min big*5 +inf.0))) | |
2069 | (pass-if (= -inf.0 (min big*5 -inf.0))) | |
2070 | (pass-if (= 1.0 (min big*5 1.0))) | |
2071 | (pass-if (inexact? (min (- big*5) 1.0))) | |
2072 | (pass-if (= (exact->inexact (- big*5)) (min (- big*5) 1.0)))) | |
2073 | ||
2074 | (with-test-prefix "real / big" | |
2075 | (pass-if (nan? (min +nan.0 big*5))) | |
2076 | (pass-if (= big*5 (min +inf.0 big*5))) | |
2077 | (pass-if (= -inf.0 (min -inf.0 big*5))) | |
2078 | (pass-if (= 1.0 (min 1.0 big*5))) | |
2079 | (pass-if (inexact? (min 1.0 (- big*5)))) | |
2080 | (pass-if (= (exact->inexact (- big*5)) (min 1.0 (- big*5))))) | |
2081 | ||
2082 | (with-test-prefix "real / real" | |
2083 | (pass-if (nan? (min 123.0 +nan.0))) | |
2084 | (pass-if (nan? (min +nan.0 123.0))) | |
2085 | (pass-if (nan? (min +nan.0 +nan.0))) | |
2086 | (pass-if (= 123.0 (min 123.0 456.0))) | |
2087 | (pass-if (= 123.0 (min 456.0 123.0))))) | |
2088 | ||
2089 | ||
adda36ed KR |
2090 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make |
2091 | ;; sure we've avoided that | |
2092 | (for-each (lambda (b) | |
2093 | (pass-if (list b +inf.0) | |
23d77957 | 2094 | (= (exact->inexact b) (min b +inf.0))) |
adda36ed | 2095 | (pass-if (list +inf.0 b) |
23d77957 | 2096 | (= (exact->inexact b) (min b +inf.0))) |
adda36ed KR |
2097 | (pass-if (list b -inf.0) |
2098 | (= -inf.0 (min b -inf.0))) | |
2099 | (pass-if (list -inf.0 b) | |
2100 | (= -inf.0 (min b -inf.0)))) | |
2101 | (list (1- (ash 1 1024)) | |
2102 | (ash 1 1024) | |
2103 | (1+ (ash 1 1024)) | |
2104 | (- (1- (ash 1 1024))) | |
2105 | (- (ash 1 1024)) | |
501da403 KR |
2106 | (- (1+ (ash 1 1024))))) |
2107 | ||
2108 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
2109 | ;; sure we've avoided that | |
2110 | (pass-if (nan? (min (- (ash 1 2048)) (- +nan.0)))) | |
2111 | (pass-if (nan? (min (- +nan.0) (- (ash 1 2048)))))) | |
adda36ed | 2112 | |
f29b3454 DH |
2113 | ;;; |
2114 | ;;; + | |
2115 | ;;; | |
2116 | ||
2117 | (with-test-prefix "+" | |
2118 | ||
2119 | (expect-fail "documented?" | |
2120 | (documented? +)) | |
2121 | ||
2122 | (with-test-prefix "wrong type argument" | |
2123 | ||
2124 | (pass-if-exception "1st argument string" | |
2125 | exception:wrong-type-arg | |
2126 | (+ "1" 2)) | |
2127 | ||
2128 | (pass-if-exception "2nd argument bool" | |
2129 | exception:wrong-type-arg | |
2130 | (+ 1 #f)))) | |
2131 | ;;; | |
2132 | ;;; - | |
2133 | ;;; | |
2134 | ||
072e6de2 KR |
2135 | (with-test-prefix "-" |
2136 | ||
2137 | (pass-if "-inum - +bignum" | |
2138 | (= #x-100000000000000000000000000000001 | |
ef016629 KR |
2139 | (- -1 #x100000000000000000000000000000000))) |
2140 | ||
2141 | (pass-if "big - inum" | |
2142 | (= #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | |
2143 | (- #x100000000000000000000000000000000 1))) | |
2144 | ||
2145 | (pass-if "big - -inum" | |
2146 | (= #x100000000000000000000000000000001 | |
2147 | (- #x100000000000000000000000000000000 -1)))) | |
072e6de2 | 2148 | |
f29b3454 DH |
2149 | ;;; |
2150 | ;;; * | |
2151 | ;;; | |
2152 | ||
65ea251e KR |
2153 | (with-test-prefix "*" |
2154 | ||
2155 | (pass-if "complex * bignum" | |
2156 | (let ((big (ash 1 90))) | |
2157 | (= (make-rectangular big big) | |
2158 | (* 1+1i big))))) | |
2159 | ||
f29b3454 DH |
2160 | ;;; |
2161 | ;;; / | |
2162 | ;;; | |
2163 | ||
1b3a7932 DH |
2164 | (with-test-prefix "/" |
2165 | ||
2166 | (expect-fail "documented?" | |
2167 | (documented? /)) | |
2168 | ||
2169 | (with-test-prefix "division by zero" | |
2170 | ||
2171 | (pass-if-exception "(/ 0)" | |
2172 | exception:numerical-overflow | |
2173 | (/ 0)) | |
2174 | ||
cdf52e3d MV |
2175 | (pass-if "(/ 0.0)" |
2176 | (= +inf.0 (/ 0.0))) | |
80074d77 | 2177 | |
1b3a7932 DH |
2178 | (pass-if-exception "(/ 1 0)" |
2179 | exception:numerical-overflow | |
80074d77 DH |
2180 | (/ 1 0)) |
2181 | ||
cdf52e3d MV |
2182 | (pass-if "(/ 1 0.0)" |
2183 | (= +inf.0 (/ 1 0.0))) | |
80074d77 DH |
2184 | |
2185 | (pass-if-exception "(/ bignum 0)" | |
2186 | exception:numerical-overflow | |
2187 | (/ (+ fixnum-max 1) 0)) | |
2188 | ||
cdf52e3d MV |
2189 | (pass-if "(/ bignum 0.0)" |
2190 | (= +inf.0 (/ (+ fixnum-max 1) 0.0))) | |
80074d77 DH |
2191 | |
2192 | (pass-if-exception "(/ 1.0 0)" | |
2193 | exception:numerical-overflow | |
2194 | (/ 1.0 0)) | |
2195 | ||
cdf52e3d MV |
2196 | (pass-if "(/ 1.0 0.0)" |
2197 | (= +inf.0 (/ 1.0 0.0))) | |
80074d77 DH |
2198 | |
2199 | (pass-if-exception "(/ +i 0)" | |
2200 | exception:numerical-overflow | |
2201 | (/ +i 0)) | |
2202 | ||
cdf52e3d MV |
2203 | (pass-if "(/ +i 0.0)" |
2204 | (= +inf.0 (imag-part (/ +i 0.0))))) | |
469b963c MV |
2205 | |
2206 | (with-test-prefix "complex division" | |
2207 | ||
2208 | (pass-if "(/ 3+4i)" | |
2209 | (= (/ 3+4i) 0.12-0.16i)) | |
2210 | ||
2211 | (pass-if "(/ 4+3i)" | |
2212 | (= (/ 4+3i) 0.16-0.12i)) | |
2213 | ||
2214 | (pass-if "(/ 25+125i 3+4i)" | |
2215 | (= (/ 25+125i 3+4i) 23.0+11.0i)) | |
2216 | ||
2217 | (pass-if "(/ 25+125i 4+3i)" | |
2218 | (= (/ 25+125i 4+3i) 19.0+17.0i)) | |
2219 | ||
2220 | (pass-if "(/ 25 3+4i)" | |
2221 | (= (/ 25 3+4i) 3.0-4.0i)) | |
2222 | ||
2223 | (pass-if "(/ 25 4+3i)" | |
2224 | (= (/ 25 4+3i) 4.0-3.0i)) | |
2225 | ||
2226 | (pass-if "(/ 1e200+1e200i)" | |
2227 | (= (/ 1e200+1e200i) 5.0e-201-5.0e-201i)))) | |
1b3a7932 | 2228 | |
f29b3454 DH |
2229 | ;;; |
2230 | ;;; truncate | |
2231 | ;;; | |
2232 | ||
14a6784c KR |
2233 | (with-test-prefix "truncate" |
2234 | (pass-if (= 1 (truncate 1.75))) | |
2235 | (pass-if (= 1 (truncate 1.5))) | |
2236 | (pass-if (= 1 (truncate 1.25))) | |
2237 | (pass-if (= 0 (truncate 0.75))) | |
2238 | (pass-if (= 0 (truncate 0.5))) | |
2239 | (pass-if (= 0 (truncate 0.0))) | |
2240 | (pass-if (= 0 (truncate -0.5))) | |
2241 | (pass-if (= -1 (truncate -1.25))) | |
2242 | (pass-if (= -1 (truncate -1.5)))) | |
2243 | ||
f29b3454 DH |
2244 | ;;; |
2245 | ;;; round | |
2246 | ;;; | |
2247 | ||
14a6784c KR |
2248 | (with-test-prefix "round" |
2249 | (pass-if (= 2 (round 1.75))) | |
2250 | (pass-if (= 2 (round 1.5))) | |
2251 | (pass-if (= 1 (round 1.25))) | |
2252 | (pass-if (= 1 (round 0.75))) | |
2253 | (pass-if (= 0 (round 0.5))) | |
2254 | (pass-if (= 0 (round 0.0))) | |
2255 | (pass-if (= 0 (round -0.5))) | |
2256 | (pass-if (= -1 (round -1.25))) | |
2257 | (pass-if (= -2 (round -1.5)))) | |
2258 | ||
f29b3454 DH |
2259 | ;;; |
2260 | ;;; exact->inexact | |
2261 | ;;; | |
2262 | ||
a1fb3b1c KR |
2263 | (with-test-prefix "exact->inexact" |
2264 | ||
2265 | ;; Test "(exact->inexact n)", expect "want". | |
2266 | ;; "i" is a index, for diagnostic purposes. | |
2267 | (define (try-i i n want) | |
2268 | (with-test-prefix (list i n want) | |
2269 | (with-test-prefix "pos" | |
2270 | (let ((got (exact->inexact n))) | |
2271 | (pass-if "inexact?" (inexact? got)) | |
2272 | (pass-if (list "=" got) (= want got)))) | |
2273 | (set! n (- n)) | |
2274 | (set! want (- want)) | |
2275 | (with-test-prefix "neg" | |
2276 | (let ((got (exact->inexact n))) | |
2277 | (pass-if "inexact?" (inexact? got)) | |
2278 | (pass-if (list "=" got) (= want got)))))) | |
2279 | ||
2280 | (with-test-prefix "2^i, no round" | |
2281 | (do ((i 0 (1+ i)) | |
2282 | (n 1 (* 2 n)) | |
2283 | (want 1.0 (* 2.0 want))) | |
2284 | ((> i 100)) | |
2285 | (try-i i n want))) | |
2286 | ||
2287 | (with-test-prefix "2^i+1, no round" | |
2288 | (do ((i 1 (1+ i)) | |
2289 | (n 3 (1- (* 2 n))) | |
2290 | (want 3.0 (- (* 2.0 want) 1.0))) | |
2291 | ((>= i dbl-mant-dig)) | |
2292 | (try-i i n want))) | |
2293 | ||
2294 | (with-test-prefix "(2^i+1)*2^100, no round" | |
2295 | (do ((i 1 (1+ i)) | |
2296 | (n 3 (1- (* 2 n))) | |
2297 | (want 3.0 (- (* 2.0 want) 1.0))) | |
2298 | ((>= i dbl-mant-dig)) | |
2299 | (try-i i (ash n 100) (ash-flo want 100)))) | |
2300 | ||
2301 | ;; bit pattern: 1111....11100.00 | |
2302 | ;; <-mantdig-><-i-> | |
2303 | ;; | |
2304 | (with-test-prefix "mantdig ones then zeros, no rounding" | |
2305 | (do ((i 0 (1+ i)) | |
2306 | (n (- (ash 1 dbl-mant-dig) 1) (* 2 n)) | |
2307 | (want (- (ash-flo 1.0 dbl-mant-dig) 1.0) (* 2.0 want))) | |
2308 | ((> i 100)) | |
2309 | (try-i i n want))) | |
2310 | ||
2311 | ;; bit pattern: 1111....111011..1 | |
2312 | ;; <-mantdig-> <-i-> | |
2313 | ;; This sort of value was incorrectly rounded upwards in Guile 1.6.4 when | |
2314 | ;; i >= 11 (that's when the total is 65 or more bits). | |
2315 | ;; | |
2316 | (with-test-prefix "mantdig ones then 011..11, round down" | |
2317 | (do ((i 0 (1+ i)) | |
2318 | (n (- (ash 1 (+ 1 dbl-mant-dig)) 2) (+ 1 (* 2 n))) | |
2319 | (want (- (ash-flo 1.0 (+ 1 dbl-mant-dig)) 2.0) (* 2.0 want))) | |
2320 | ((> i 100)) | |
2321 | (try-i i n want))) | |
2322 | ||
2323 | ;; bit pattern: 1111....111100..001 | |
2324 | ;; <-mantdig-> <--i-> | |
2325 | ;; | |
2326 | (with-test-prefix "mantdig ones then 100..001, round up" | |
2327 | (do ((i 0 (1+ i)) | |
2328 | (n (- (ash 1 (+ 2 dbl-mant-dig)) 1) (1- (* 2 n))) | |
2329 | (want (ash-flo 1.0 (+ 2 dbl-mant-dig)) (* 2.0 want))) | |
2330 | ((> i 100)) | |
2331 | (try-i i n want))) | |
2332 | ||
2333 | ;; bit pattern: 1000....000100..001 | |
2334 | ;; <-mantdig-> <--i-> | |
2335 | ;; | |
2336 | (with-test-prefix "2^mantdig then 100..001, round up" | |
2337 | (do ((i 0 (1+ i)) | |
2338 | (n (- (ash 1 (+ 2 dbl-mant-dig)) 1) (1- (* 2 n))) | |
2339 | (want (+ (ash-flo 1.0 (+ 2 dbl-mant-dig)) 4.0) (* 2.0 want))) | |
2340 | ((> i 100)) | |
2341 | (try-i i n want)))) | |
2342 | ||
f29b3454 DH |
2343 | ;;; |
2344 | ;;; floor | |
2345 | ;;; | |
2346 | ||
2347 | ;;; | |
2348 | ;;; ceiling | |
2349 | ;;; | |
2350 | ||
46f2c0f1 RB |
2351 | ;;; |
2352 | ;;; expt | |
2353 | ;;; | |
2354 | ||
2355 | (with-test-prefix "expt" | |
2356 | (pass-if "(= 1 (expt 0 0))" (= 1 (expt 0 0))) | |
2357 | (pass-if "(= 1 (expt 0 0.0))" (= 1 (expt 0 0.0))) | |
2358 | (pass-if "(= 1 (expt 0.0 0))" (= 1 (expt 0.0 0))) | |
2359 | (pass-if "(= 1 (expt 0.0 0.0))" (= 1 (expt 0.0 0.0)))) | |
2360 | ||
14a6784c KR |
2361 | ;;; |
2362 | ;;; asinh | |
2363 | ;;; | |
2364 | ||
2365 | (with-test-prefix "asinh" | |
2366 | (pass-if (= 0 (asinh 0)))) | |
2367 | ||
2368 | ;;; | |
2369 | ;;; acosh | |
2370 | ;;; | |
2371 | ||
2372 | (with-test-prefix "acosh" | |
2373 | (pass-if (= 0 (acosh 1)))) | |
2374 | ||
2375 | ;;; | |
2376 | ;;; atanh | |
2377 | ;;; | |
2378 | ||
2379 | (with-test-prefix "atanh" | |
2380 | (pass-if (= 0 (atanh 0)))) | |
2381 | ||
f29b3454 DH |
2382 | ;;; |
2383 | ;;; make-rectangular | |
2384 | ;;; | |
2385 | ||
2386 | ;;; | |
2387 | ;;; make-polar | |
2388 | ;;; | |
2389 | ||
d40681ec KR |
2390 | (with-test-prefix "make-polar" |
2391 | (define pi 3.14159265358979323846) | |
2392 | (define (almost= x y) | |
2393 | (> 0.01 (magnitude (- x y)))) | |
2394 | ||
2395 | (pass-if (= 0 (make-polar 0 0))) | |
2396 | (pass-if (= 0 (make-polar 0 123.456))) | |
2397 | (pass-if (= 1 (make-polar 1 0))) | |
2398 | (pass-if (= -1 (make-polar -1 0))) | |
2399 | ||
2400 | (pass-if (almost= 0+i (make-polar 1 (* 0.5 pi)))) | |
2401 | (pass-if (almost= -1 (make-polar 1 (* 1.0 pi)))) | |
2402 | (pass-if (almost= 0-i (make-polar 1 (* 1.5 pi)))) | |
2403 | (pass-if (almost= 1 (make-polar 1 (* 2.0 pi))))) | |
2404 | ||
f29b3454 DH |
2405 | ;;; |
2406 | ;;; real-part | |
2407 | ;;; | |
2408 | ||
2409 | ;;; | |
2410 | ;;; imag-part | |
2411 | ;;; | |
2412 | ||
2413 | ;;; | |
2414 | ;;; magnitude | |
2415 | ;;; | |
2416 | ||
d40681ec KR |
2417 | (with-test-prefix "magnitude" |
2418 | (pass-if (= 0 (magnitude 0))) | |
2419 | (pass-if (= 1 (magnitude 1))) | |
2420 | (pass-if (= 1 (magnitude -1))) | |
2421 | (pass-if (= 1 (magnitude 0+i))) | |
2422 | (pass-if (= 1 (magnitude 0-i))) | |
2423 | (pass-if (= 5 (magnitude 3+4i))) | |
2424 | (pass-if (= 5 (magnitude 3-4i))) | |
2425 | (pass-if (= 5 (magnitude -3+4i))) | |
2426 | (pass-if (= 5 (magnitude -3-4i)))) | |
2427 | ||
f29b3454 DH |
2428 | ;;; |
2429 | ;;; angle | |
2430 | ;;; | |
2431 | ||
cfc9fc1c KR |
2432 | (with-test-prefix "angle" |
2433 | (define pi 3.14159265358979323846) | |
2434 | (define (almost= x y) | |
2435 | (> 0.01 (magnitude (- x y)))) | |
2436 | ||
2437 | (pass-if "inum +ve" (= 0 (angle 1))) | |
2438 | (pass-if "inum -ve" (almost= pi (angle -1))) | |
2439 | ||
2440 | (pass-if "bignum +ve" (= 0 (angle (1+ fixnum-max)))) | |
2441 | (pass-if "bignum -ve" (almost= pi (angle (1- fixnum-min)))) | |
2442 | ||
2443 | (pass-if "flonum +ve" (= 0 (angle 1.5))) | |
2444 | (pass-if "flonum -ve" (almost= pi (angle -1.5)))) | |
2445 | ||
f29b3454 DH |
2446 | ;;; |
2447 | ;;; inexact->exact | |
2448 | ;;; | |
300c6a76 | 2449 | |
1259cb26 KR |
2450 | (with-test-prefix "inexact->exact" |
2451 | ||
9dd9857f | 2452 | (pass-if-exception "+inf" exception:out-of-range |
a409f865 | 2453 | (inexact->exact +inf.0)) |
1259cb26 | 2454 | |
9dd9857f | 2455 | (pass-if-exception "-inf" exception:out-of-range |
a409f865 | 2456 | (inexact->exact -inf.0)) |
1259cb26 | 2457 | |
9dd9857f | 2458 | (pass-if-exception "nan" exception:out-of-range |
a409f865 | 2459 | (inexact->exact +nan.0)) |
1259cb26 KR |
2460 | |
2461 | (with-test-prefix "2.0**i to exact and back" | |
2462 | (do ((i 0 (1+ i)) | |
2463 | (n 1.0 (* 2.0 n))) | |
2464 | ((> i 100)) | |
2465 | (pass-if (list i n) | |
2466 | (= n (inexact->exact (exact->inexact n))))))) | |
2467 | ||
a04a3604 KR |
2468 | ;;; |
2469 | ;;; integer-length | |
2470 | ;;; | |
2471 | ||
2472 | (with-test-prefix "integer-length" | |
2473 | ||
2474 | (with-test-prefix "-2^i, ...11100..00" | |
2475 | (do ((n -1 (ash n 1)) | |
2476 | (i 0 (1+ i))) | |
2477 | ((> i 256)) | |
2478 | (pass-if (list n "expect" i) | |
2479 | (= i (integer-length n))))) | |
2480 | ||
2481 | (with-test-prefix "-2^i+1 ...11100..01" | |
2482 | (do ((n -3 (logxor 3 (ash n 1))) | |
2483 | (i 2 (1+ i))) | |
2484 | ((> i 256)) | |
2485 | (pass-if n | |
2486 | (= i (integer-length n))))) | |
2487 | ||
2488 | (with-test-prefix "-2^i-1 ...111011..11" | |
2489 | (do ((n -2 (1+ (ash n 1))) | |
2490 | (i 1 (1+ i))) | |
2491 | ((> i 256)) | |
2492 | (pass-if n | |
2493 | (= i (integer-length n)))))) | |
2494 | ||
300c6a76 KR |
2495 | ;;; |
2496 | ;;; logcount | |
2497 | ;;; | |
2498 | ||
2499 | (with-test-prefix "logcount" | |
2500 | ||
2501 | (with-test-prefix "-2^i, meaning ...11100..00" | |
2502 | (do ((n -1 (ash n 1)) | |
2503 | (i 0 (1+ i))) | |
2504 | ((> i 256)) | |
795c0bae KR |
2505 | (pass-if n |
2506 | (= i (logcount n))))) | |
2507 | ||
2508 | (with-test-prefix "2^i" | |
2509 | (do ((n 1 (ash n 1)) | |
2510 | (i 0 (1+ i))) | |
2511 | ((> i 256)) | |
2512 | (pass-if n | |
2513 | (= 1 (logcount n))))) | |
2514 | ||
2515 | (with-test-prefix "2^i-1" | |
2516 | (do ((n 0 (1+ (ash n 1))) | |
2517 | (i 0 (1+ i))) | |
2518 | ((> i 256)) | |
300c6a76 KR |
2519 | (pass-if n |
2520 | (= i (logcount n)))))) | |
795c0bae | 2521 | |
1ec2dd6f KR |
2522 | ;;; |
2523 | ;;; lognot | |
2524 | ;;; | |
2525 | ||
2526 | (with-test-prefix "lognot" | |
2527 | (pass-if (= -1 (lognot 0))) | |
2528 | (pass-if (= 0 (lognot -1))) | |
2529 | (pass-if (= -2 (lognot 1))) | |
2530 | (pass-if (= 1 (lognot -2))) | |
2531 | ||
2532 | (pass-if (= #x-100000000000000000000000000000000 | |
2533 | (lognot #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))) | |
2534 | (pass-if (= #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | |
2535 | (lognot #x-100000000000000000000000000000000)))) |