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de142bea | 1 | ;;;; numbers.test --- tests guile's numbers -*- scheme -*- |
072e6de2 | 2 | ;;;; Copyright (C) 2000, 2001, 2003 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 | |
cb18f2a8 | 18 | (use-modules (ice-9 documentation)) |
de142bea | 19 | |
de142bea DH |
20 | ;;; |
21 | ;;; miscellaneous | |
22 | ;;; | |
23 | ||
1b3a7932 DH |
24 | (define exception:numerical-overflow |
25 | (cons 'numerical-overflow "^Numerical overflow")) | |
26 | ||
cb18f2a8 | 27 | (define (documented? object) |
5c96bc39 | 28 | (not (not (object-documentation object)))) |
de142bea | 29 | |
8b7838b5 RB |
30 | (define fixnum-bit |
31 | (inexact->exact (+ (/ (log (+ most-positive-fixnum 1)) (log 2)) 1))) | |
32 | ||
21e39e8f DH |
33 | (define fixnum-min most-negative-fixnum) |
34 | (define fixnum-max most-positive-fixnum) | |
de142bea | 35 | |
de142bea DH |
36 | ;;; |
37 | ;;; exact? | |
38 | ;;; | |
39 | ||
40 | (with-test-prefix "exact?" | |
41 | ||
de142bea | 42 | (pass-if "documented?" |
cb18f2a8 | 43 | (documented? exact?)) |
de142bea | 44 | |
21e39e8f | 45 | (with-test-prefix "integers" |
de142bea | 46 | |
21e39e8f DH |
47 | (pass-if "0" |
48 | (exact? 0)) | |
de142bea | 49 | |
21e39e8f DH |
50 | (pass-if "fixnum-max" |
51 | (exact? fixnum-max)) | |
de142bea | 52 | |
21e39e8f DH |
53 | (pass-if "fixnum-max + 1" |
54 | (exact? (+ fixnum-max 1))) | |
de142bea | 55 | |
21e39e8f DH |
56 | (pass-if "fixnum-min" |
57 | (exact? fixnum-min)) | |
de142bea | 58 | |
21e39e8f DH |
59 | (pass-if "fixnum-min - 1" |
60 | (exact? (- fixnum-min 1)))) | |
61 | ||
62 | (with-test-prefix "reals" | |
63 | ||
64 | ;; (FIXME: need better examples.) | |
65 | ||
66 | (pass-if "sqrt (fixnum-max^2 - 1)" | |
67 | (eq? #f (exact? (sqrt (- (expt fixnum-max 2) 1))))) | |
68 | ||
69 | (pass-if "sqrt ((fixnum-max+1)^2 - 1)" | |
70 | (eq? #f (exact? (sqrt (- (expt (+ fixnum-max 1) 2) 1))))))) | |
de142bea DH |
71 | |
72 | ;;; | |
73 | ;;; odd? | |
74 | ;;; | |
75 | ||
7c24e528 RB |
76 | (with-test-prefix "odd?" |
77 | (pass-if (documented? odd?)) | |
78 | (pass-if (odd? 1)) | |
79 | (pass-if (odd? -1)) | |
4d332f19 DH |
80 | (pass-if (not (odd? 0))) |
81 | (pass-if (not (odd? 2))) | |
82 | (pass-if (not (odd? -2))) | |
7c24e528 | 83 | (pass-if (odd? (+ (* 2 fixnum-max) 1))) |
4d332f19 | 84 | (pass-if (not (odd? (* 2 fixnum-max)))) |
7c24e528 | 85 | (pass-if (odd? (- (* 2 fixnum-min) 1))) |
4d332f19 | 86 | (pass-if (not (odd? (* 2 fixnum-min))))) |
de142bea DH |
87 | |
88 | ;;; | |
89 | ;;; even? | |
90 | ;;; | |
91 | ||
7c24e528 RB |
92 | (with-test-prefix "even?" |
93 | (pass-if (documented? even?)) | |
94 | (pass-if (even? 2)) | |
95 | (pass-if (even? -2)) | |
96 | (pass-if (even? 0)) | |
4d332f19 DH |
97 | (pass-if (not (even? 1))) |
98 | (pass-if (not (even? -1))) | |
99 | (pass-if (not (even? (+ (* 2 fixnum-max) 1)))) | |
7c24e528 | 100 | (pass-if (even? (* 2 fixnum-max))) |
4d332f19 | 101 | (pass-if (not (even? (- (* 2 fixnum-min) 1)))) |
7c24e528 | 102 | (pass-if (even? (* 2 fixnum-min)))) |
de142bea DH |
103 | |
104 | ;;; | |
7c24e528 RB |
105 | ;;; inf? and inf |
106 | ;;; | |
107 | ||
108 | (with-test-prefix "inf?" | |
109 | (pass-if (documented? inf?)) | |
110 | (pass-if (inf? (inf))) | |
111 | ;; FIXME: what are the expected behaviors? | |
112 | ;; (pass-if (inf? (/ 1.0 0.0)) | |
113 | ;; (pass-if (inf? (/ 1 0.0)) | |
4d332f19 DH |
114 | (pass-if (not (inf? 0))) |
115 | (pass-if (not (inf? 42.0))) | |
116 | (pass-if (not (inf? (+ fixnum-max 1)))) | |
117 | (pass-if (not (inf? (- fixnum-min 1))))) | |
7c24e528 RB |
118 | |
119 | ;;; | |
120 | ;;; nan? and nan | |
de142bea DH |
121 | ;;; |
122 | ||
7c24e528 RB |
123 | (with-test-prefix "nan?" |
124 | (pass-if (documented? nan?)) | |
125 | (pass-if (nan? (nan))) | |
126 | ;; FIXME: other ways we should be able to generate NaN? | |
4d332f19 DH |
127 | (pass-if (not (nan? 0))) |
128 | (pass-if (not (nan? 42.0))) | |
129 | (pass-if (not (nan? (+ fixnum-max 1)))) | |
130 | (pass-if (not (nan? (- fixnum-min 1))))) | |
de142bea | 131 | |
7c24e528 RB |
132 | ;;; |
133 | ;;; abs | |
134 | ;;; | |
135 | ||
136 | (with-test-prefix "abs" | |
137 | (pass-if (documented? abs)) | |
138 | (pass-if (zero? (abs 0))) | |
139 | (pass-if (= 1 (abs 1))) | |
140 | (pass-if (= 1 (abs -1))) | |
141 | (pass-if (= (+ fixnum-max 1) (abs (+ fixnum-max 1)))) | |
142 | (pass-if (= (+ (- fixnum-min) 1) (abs (- fixnum-min 1)))) | |
143 | (pass-if (positive? (abs 1.0))) | |
144 | (pass-if (positive? (abs -1.0)))) | |
145 | ||
de142bea DH |
146 | ;;; |
147 | ;;; quotient | |
148 | ;;; | |
149 | ||
150 | (with-test-prefix "quotient" | |
151 | ||
de142bea | 152 | (expect-fail "documented?" |
cb18f2a8 | 153 | (documented? quotient)) |
de142bea | 154 | |
de142bea DH |
155 | (with-test-prefix "0 / n" |
156 | ||
157 | (pass-if "n = 1" | |
158 | (eqv? 0 (quotient 0 1))) | |
159 | ||
160 | (pass-if "n = -1" | |
161 | (eqv? 0 (quotient 0 -1))) | |
162 | ||
21e39e8f DH |
163 | (pass-if "n = 2" |
164 | (eqv? 0 (quotient 0 2))) | |
165 | ||
166 | (pass-if "n = fixnum-max" | |
167 | (eqv? 0 (quotient 0 fixnum-max))) | |
168 | ||
169 | (pass-if "n = fixnum-max + 1" | |
170 | (eqv? 0 (quotient 0 (+ fixnum-max 1)))) | |
171 | ||
172 | (pass-if "n = fixnum-min" | |
173 | (eqv? 0 (quotient 0 fixnum-min))) | |
174 | ||
175 | (pass-if "n = fixnum-min - 1" | |
176 | (eqv? 0 (quotient 0 (- fixnum-min 1))))) | |
de142bea | 177 | |
21e39e8f | 178 | (with-test-prefix "1 / n" |
de142bea DH |
179 | |
180 | (pass-if "n = 1" | |
181 | (eqv? 1 (quotient 1 1))) | |
182 | ||
183 | (pass-if "n = -1" | |
21e39e8f DH |
184 | (eqv? -1 (quotient 1 -1))) |
185 | ||
186 | (pass-if "n = 2" | |
187 | (eqv? 0 (quotient 1 2))) | |
de142bea | 188 | |
21e39e8f DH |
189 | (pass-if "n = fixnum-max" |
190 | (eqv? 0 (quotient 1 fixnum-max))) | |
de142bea | 191 | |
21e39e8f DH |
192 | (pass-if "n = fixnum-max + 1" |
193 | (eqv? 0 (quotient 1 (+ fixnum-max 1)))) | |
de142bea | 194 | |
21e39e8f DH |
195 | (pass-if "n = fixnum-min" |
196 | (eqv? 0 (quotient 1 fixnum-min))) | |
197 | ||
198 | (pass-if "n = fixnum-min - 1" | |
199 | (eqv? 0 (quotient 1 (- fixnum-min 1))))) | |
200 | ||
201 | (with-test-prefix "-1 / n" | |
de142bea DH |
202 | |
203 | (pass-if "n = 1" | |
21e39e8f | 204 | (eqv? -1 (quotient -1 1))) |
de142bea DH |
205 | |
206 | (pass-if "n = -1" | |
207 | (eqv? 1 (quotient -1 -1))) | |
208 | ||
21e39e8f DH |
209 | (pass-if "n = 2" |
210 | (eqv? 0 (quotient -1 2))) | |
211 | ||
212 | (pass-if "n = fixnum-max" | |
213 | (eqv? 0 (quotient -1 fixnum-max))) | |
214 | ||
215 | (pass-if "n = fixnum-max + 1" | |
216 | (eqv? 0 (quotient -1 (+ fixnum-max 1)))) | |
217 | ||
218 | (pass-if "n = fixnum-min" | |
219 | (eqv? 0 (quotient -1 fixnum-min))) | |
220 | ||
221 | (pass-if "n = fixnum-min - 1" | |
222 | (eqv? 0 (quotient -1 (- fixnum-min 1))))) | |
223 | ||
224 | (with-test-prefix "fixnum-max / n" | |
225 | ||
226 | (pass-if "n = 1" | |
227 | (eqv? fixnum-max (quotient fixnum-max 1))) | |
228 | ||
229 | (pass-if "n = -1" | |
230 | (eqv? (- fixnum-max) (quotient fixnum-max -1))) | |
231 | ||
232 | (pass-if "n = 2" | |
233 | (eqv? fixnum-max (+ (* (quotient fixnum-max 2) 2) 1))) | |
234 | ||
235 | (pass-if "n = fixnum-max" | |
236 | (eqv? 1 (quotient fixnum-max fixnum-max))) | |
237 | ||
238 | (pass-if "n = fixnum-max + 1" | |
239 | (eqv? 0 (quotient fixnum-max (+ fixnum-max 1)))) | |
240 | ||
241 | (pass-if "n = fixnum-min" | |
242 | (eqv? 0 (quotient fixnum-max fixnum-min))) | |
243 | ||
244 | (pass-if "n = fixnum-min - 1" | |
245 | (eqv? 0 (quotient fixnum-max (- fixnum-min 1))))) | |
246 | ||
247 | (with-test-prefix "(fixnum-max + 1) / n" | |
248 | ||
249 | (pass-if "n = 1" | |
250 | (eqv? (+ fixnum-max 1) (quotient (+ fixnum-max 1) 1))) | |
251 | ||
252 | (pass-if "n = -1" | |
253 | (eqv? (- (+ fixnum-max 1)) (quotient (+ fixnum-max 1) -1))) | |
254 | ||
255 | (pass-if "n = 2" | |
256 | (eqv? (+ fixnum-max 1) (* (quotient (+ fixnum-max 1) 2) 2))) | |
257 | ||
258 | (pass-if "n = fixnum-max" | |
259 | (eqv? 1 (quotient (+ fixnum-max 1) fixnum-max))) | |
260 | ||
261 | (pass-if "n = fixnum-max + 1" | |
262 | (eqv? 1 (quotient (+ fixnum-max 1) (+ fixnum-max 1)))) | |
263 | ||
264 | (pass-if "n = fixnum-min" | |
265 | (eqv? -1 (quotient (+ fixnum-max 1) fixnum-min))) | |
266 | ||
267 | (pass-if "n = fixnum-min - 1" | |
268 | (eqv? 0 (quotient (+ fixnum-max 1) (- fixnum-min 1))))) | |
269 | ||
270 | (with-test-prefix "fixnum-min / n" | |
271 | ||
272 | (pass-if "n = 1" | |
273 | (eqv? fixnum-min (quotient fixnum-min 1))) | |
274 | ||
275 | (pass-if "n = -1" | |
276 | (eqv? (- fixnum-min) (quotient fixnum-min -1))) | |
277 | ||
278 | (pass-if "n = 2" | |
279 | (eqv? fixnum-min (* (quotient fixnum-min 2) 2))) | |
280 | ||
281 | (pass-if "n = fixnum-max" | |
282 | (eqv? -1 (quotient fixnum-min fixnum-max))) | |
283 | ||
284 | (pass-if "n = fixnum-max + 1" | |
285 | (eqv? -1 (quotient fixnum-min (+ fixnum-max 1)))) | |
286 | ||
287 | (pass-if "n = fixnum-min" | |
288 | (eqv? 1 (quotient fixnum-min fixnum-min))) | |
289 | ||
290 | (pass-if "n = fixnum-min - 1" | |
291 | (eqv? 0 (quotient fixnum-min (- fixnum-min 1))))) | |
292 | ||
293 | (with-test-prefix "(fixnum-min - 1) / n" | |
294 | ||
295 | (pass-if "n = 1" | |
296 | (eqv? (- fixnum-min 1) (quotient (- fixnum-min 1) 1))) | |
297 | ||
298 | (pass-if "n = -1" | |
299 | (eqv? (- (- fixnum-min 1)) (quotient (- fixnum-min 1) -1))) | |
300 | ||
301 | (pass-if "n = 2" | |
302 | (eqv? fixnum-min (* (quotient (- fixnum-min 1) 2) 2))) | |
303 | ||
304 | (pass-if "n = fixnum-max" | |
305 | (eqv? -1 (quotient (- fixnum-min 1) fixnum-max))) | |
306 | ||
307 | (pass-if "n = fixnum-max + 1" | |
308 | (eqv? -1 (quotient (- fixnum-min 1) (+ fixnum-max 1)))) | |
309 | ||
310 | (pass-if "n = fixnum-min" | |
311 | (eqv? 1 (quotient (- fixnum-min 1) fixnum-min))) | |
312 | ||
313 | (pass-if "n = fixnum-min - 1" | |
314 | (eqv? 1 (quotient (- fixnum-min 1) (- fixnum-min 1))))) | |
de142bea DH |
315 | |
316 | ;; Positive dividend and divisor | |
317 | ||
318 | (pass-if "35 / 7" | |
319 | (eqv? 5 (quotient 35 7))) | |
320 | ||
321 | ;; Negative dividend, positive divisor | |
322 | ||
323 | (pass-if "-35 / 7" | |
324 | (eqv? -5 (quotient -35 7))) | |
325 | ||
326 | ;; Positive dividend, negative divisor | |
327 | ||
328 | (pass-if "35 / -7" | |
329 | (eqv? -5 (quotient 35 -7))) | |
330 | ||
331 | ;; Negative dividend and divisor | |
332 | ||
333 | (pass-if "-35 / -7" | |
334 | (eqv? 5 (quotient -35 -7))) | |
335 | ||
336 | ;; Are numerical overflows detected correctly? | |
337 | ||
80074d77 DH |
338 | (with-test-prefix "division by zero" |
339 | ||
340 | (pass-if-exception "(quotient 1 0)" | |
341 | exception:numerical-overflow | |
342 | (quotient 1 0)) | |
343 | ||
344 | (pass-if-exception "(quotient bignum 0)" | |
345 | exception:numerical-overflow | |
346 | (quotient (+ fixnum-max 1) 0))) | |
347 | ||
de142bea DH |
348 | ;; Are wrong type arguments detected correctly? |
349 | ||
350 | ) | |
351 | ||
352 | ;;; | |
353 | ;;; remainder | |
354 | ;;; | |
355 | ||
356 | (with-test-prefix "remainder" | |
357 | ||
de142bea | 358 | (expect-fail "documented?" |
cb18f2a8 | 359 | (documented? remainder)) |
de142bea | 360 | |
de142bea DH |
361 | (with-test-prefix "0 / n" |
362 | ||
363 | (pass-if "n = 1" | |
364 | (eqv? 0 (remainder 0 1))) | |
365 | ||
366 | (pass-if "n = -1" | |
367 | (eqv? 0 (remainder 0 -1))) | |
368 | ||
21e39e8f DH |
369 | (pass-if "n = fixnum-max" |
370 | (eqv? 0 (remainder 0 fixnum-max))) | |
371 | ||
372 | (pass-if "n = fixnum-max + 1" | |
373 | (eqv? 0 (remainder 0 (+ fixnum-max 1)))) | |
374 | ||
375 | (pass-if "n = fixnum-min" | |
376 | (eqv? 0 (remainder 0 fixnum-min))) | |
de142bea | 377 | |
21e39e8f DH |
378 | (pass-if "n = fixnum-min - 1" |
379 | (eqv? 0 (remainder 0 (- fixnum-min 1))))) | |
de142bea | 380 | |
21e39e8f | 381 | (with-test-prefix "1 / n" |
de142bea DH |
382 | |
383 | (pass-if "n = 1" | |
384 | (eqv? 0 (remainder 1 1))) | |
385 | ||
386 | (pass-if "n = -1" | |
21e39e8f DH |
387 | (eqv? 0 (remainder 1 -1))) |
388 | ||
389 | (pass-if "n = fixnum-max" | |
390 | (eqv? 1 (remainder 1 fixnum-max))) | |
de142bea | 391 | |
21e39e8f DH |
392 | (pass-if "n = fixnum-max + 1" |
393 | (eqv? 1 (remainder 1 (+ fixnum-max 1)))) | |
de142bea | 394 | |
21e39e8f DH |
395 | (pass-if "n = fixnum-min" |
396 | (eqv? 1 (remainder 1 fixnum-min))) | |
de142bea | 397 | |
21e39e8f DH |
398 | (pass-if "n = fixnum-min - 1" |
399 | (eqv? 1 (remainder 1 (- fixnum-min 1))))) | |
400 | ||
401 | (with-test-prefix "-1 / n" | |
de142bea DH |
402 | |
403 | (pass-if "n = 1" | |
21e39e8f | 404 | (eqv? 0 (remainder -1 1))) |
de142bea DH |
405 | |
406 | (pass-if "n = -1" | |
407 | (eqv? 0 (remainder -1 -1))) | |
408 | ||
21e39e8f DH |
409 | (pass-if "n = fixnum-max" |
410 | (eqv? -1 (remainder -1 fixnum-max))) | |
411 | ||
412 | (pass-if "n = fixnum-max + 1" | |
413 | (eqv? -1 (remainder -1 (+ fixnum-max 1)))) | |
414 | ||
415 | (pass-if "n = fixnum-min" | |
416 | (eqv? -1 (remainder -1 fixnum-min))) | |
417 | ||
418 | (pass-if "n = fixnum-min - 1" | |
419 | (eqv? -1 (remainder -1 (- fixnum-min 1))))) | |
420 | ||
421 | (with-test-prefix "fixnum-max / n" | |
422 | ||
423 | (pass-if "n = 1" | |
424 | (eqv? 0 (remainder fixnum-max 1))) | |
425 | ||
426 | (pass-if "n = -1" | |
427 | (eqv? 0 (remainder fixnum-max -1))) | |
428 | ||
429 | (pass-if "n = fixnum-max" | |
430 | (eqv? 0 (remainder fixnum-max fixnum-max))) | |
431 | ||
432 | (pass-if "n = fixnum-max + 1" | |
433 | (eqv? fixnum-max (remainder fixnum-max (+ fixnum-max 1)))) | |
434 | ||
435 | (pass-if "n = fixnum-min" | |
436 | (eqv? fixnum-max (remainder fixnum-max fixnum-min))) | |
437 | ||
438 | (pass-if "n = fixnum-min - 1" | |
439 | (eqv? fixnum-max (remainder fixnum-max (- fixnum-min 1))))) | |
440 | ||
441 | (with-test-prefix "(fixnum-max + 1) / n" | |
442 | ||
443 | (pass-if "n = 1" | |
444 | (eqv? 0 (remainder (+ fixnum-max 1) 1))) | |
445 | ||
446 | (pass-if "n = -1" | |
447 | (eqv? 0 (remainder (+ fixnum-max 1) -1))) | |
448 | ||
449 | (pass-if "n = fixnum-max" | |
450 | (eqv? 1 (remainder (+ fixnum-max 1) fixnum-max))) | |
451 | ||
452 | (pass-if "n = fixnum-max + 1" | |
453 | (eqv? 0 (remainder (+ fixnum-max 1) (+ fixnum-max 1)))) | |
454 | ||
455 | (pass-if "n = fixnum-min" | |
456 | (eqv? 0 (remainder (+ fixnum-max 1) fixnum-min))) | |
457 | ||
458 | (pass-if "n = fixnum-min - 1" | |
459 | (eqv? (+ fixnum-max 1) (remainder (+ fixnum-max 1) (- fixnum-min 1))))) | |
460 | ||
461 | (with-test-prefix "fixnum-min / n" | |
462 | ||
463 | (pass-if "n = 1" | |
464 | (eqv? 0 (remainder fixnum-min 1))) | |
465 | ||
466 | (pass-if "n = -1" | |
467 | (eqv? 0 (remainder fixnum-min -1))) | |
468 | ||
469 | (pass-if "n = fixnum-max" | |
470 | (eqv? -1 (remainder fixnum-min fixnum-max))) | |
471 | ||
472 | (pass-if "n = fixnum-max + 1" | |
473 | (eqv? 0 (remainder fixnum-min (+ fixnum-max 1)))) | |
474 | ||
475 | (pass-if "n = fixnum-min" | |
476 | (eqv? 0 (remainder fixnum-min fixnum-min))) | |
477 | ||
478 | (pass-if "n = fixnum-min - 1" | |
479 | (eqv? fixnum-min (remainder fixnum-min (- fixnum-min 1))))) | |
480 | ||
481 | (with-test-prefix "(fixnum-min - 1) / n" | |
482 | ||
483 | (pass-if "n = 1" | |
484 | (eqv? 0 (remainder (- fixnum-min 1) 1))) | |
485 | ||
486 | (pass-if "n = -1" | |
487 | (eqv? 0 (remainder (- fixnum-min 1) -1))) | |
488 | ||
489 | (pass-if "n = fixnum-max" | |
490 | (eqv? -2 (remainder (- fixnum-min 1) fixnum-max))) | |
491 | ||
492 | (pass-if "n = fixnum-max + 1" | |
493 | (eqv? -1 (remainder (- fixnum-min 1) (+ fixnum-max 1)))) | |
494 | ||
495 | (pass-if "n = fixnum-min" | |
496 | (eqv? -1 (remainder (- fixnum-min 1) fixnum-min))) | |
497 | ||
498 | (pass-if "n = fixnum-min - 1" | |
499 | (eqv? 0 (remainder (- fixnum-min 1) (- fixnum-min 1))))) | |
de142bea DH |
500 | |
501 | ;; Positive dividend and divisor | |
502 | ||
503 | (pass-if "35 / 7" | |
504 | (eqv? 0 (remainder 35 7))) | |
505 | ||
506 | ;; Negative dividend, positive divisor | |
507 | ||
508 | (pass-if "-35 / 7" | |
509 | (eqv? 0 (remainder -35 7))) | |
510 | ||
511 | ;; Positive dividend, negative divisor | |
512 | ||
513 | (pass-if "35 / -7" | |
514 | (eqv? 0 (remainder 35 -7))) | |
515 | ||
516 | ;; Negative dividend and divisor | |
517 | ||
518 | (pass-if "-35 / -7" | |
519 | (eqv? 0 (remainder -35 -7))) | |
520 | ||
521 | ;; Are numerical overflows detected correctly? | |
522 | ||
80074d77 DH |
523 | (with-test-prefix "division by zero" |
524 | ||
525 | (pass-if-exception "(remainder 1 0)" | |
526 | exception:numerical-overflow | |
527 | (remainder 1 0)) | |
528 | ||
529 | (pass-if-exception "(remainder bignum 0)" | |
530 | exception:numerical-overflow | |
531 | (remainder (+ fixnum-max 1) 0))) | |
532 | ||
de142bea DH |
533 | ;; Are wrong type arguments detected correctly? |
534 | ||
535 | ) | |
536 | ||
537 | ;;; | |
538 | ;;; modulo | |
539 | ;;; | |
540 | ||
541 | (with-test-prefix "modulo" | |
542 | ||
de142bea | 543 | (expect-fail "documented?" |
cb18f2a8 | 544 | (documented? modulo)) |
de142bea | 545 | |
de142bea DH |
546 | (with-test-prefix "0 % n" |
547 | ||
548 | (pass-if "n = 1" | |
549 | (eqv? 0 (modulo 0 1))) | |
550 | ||
551 | (pass-if "n = -1" | |
552 | (eqv? 0 (modulo 0 -1))) | |
553 | ||
21e39e8f DH |
554 | (pass-if "n = fixnum-max" |
555 | (eqv? 0 (modulo 0 fixnum-max))) | |
556 | ||
557 | (pass-if "n = fixnum-max + 1" | |
558 | (eqv? 0 (modulo 0 (+ fixnum-max 1)))) | |
de142bea | 559 | |
21e39e8f DH |
560 | (pass-if "n = fixnum-min" |
561 | (eqv? 0 (modulo 0 fixnum-min))) | |
de142bea | 562 | |
21e39e8f DH |
563 | (pass-if "n = fixnum-min - 1" |
564 | (eqv? 0 (modulo 0 (- fixnum-min 1))))) | |
565 | ||
566 | (with-test-prefix "1 % n" | |
de142bea DH |
567 | |
568 | (pass-if "n = 1" | |
569 | (eqv? 0 (modulo 1 1))) | |
570 | ||
571 | (pass-if "n = -1" | |
21e39e8f | 572 | (eqv? 0 (modulo 1 -1))) |
de142bea | 573 | |
21e39e8f DH |
574 | (pass-if "n = fixnum-max" |
575 | (eqv? 1 (modulo 1 fixnum-max))) | |
de142bea | 576 | |
21e39e8f DH |
577 | (pass-if "n = fixnum-max + 1" |
578 | (eqv? 1 (modulo 1 (+ fixnum-max 1)))) | |
de142bea | 579 | |
21e39e8f DH |
580 | (pass-if "n = fixnum-min" |
581 | (eqv? (+ fixnum-min 1) (modulo 1 fixnum-min))) | |
582 | ||
583 | (pass-if "n = fixnum-min - 1" | |
584 | (eqv? fixnum-min (modulo 1 (- fixnum-min 1))))) | |
585 | ||
586 | (with-test-prefix "-1 % n" | |
de142bea DH |
587 | |
588 | (pass-if "n = 1" | |
21e39e8f | 589 | (eqv? 0 (modulo -1 1))) |
de142bea DH |
590 | |
591 | (pass-if "n = -1" | |
592 | (eqv? 0 (modulo -1 -1))) | |
593 | ||
21e39e8f DH |
594 | (pass-if "n = fixnum-max" |
595 | (eqv? (- fixnum-max 1) (modulo -1 fixnum-max))) | |
596 | ||
597 | (pass-if "n = fixnum-max + 1" | |
598 | (eqv? fixnum-max (modulo -1 (+ fixnum-max 1)))) | |
599 | ||
600 | (pass-if "n = fixnum-min" | |
601 | (eqv? -1 (modulo -1 fixnum-min))) | |
602 | ||
603 | (pass-if "n = fixnum-min - 1" | |
604 | (eqv? -1 (modulo -1 (- fixnum-min 1))))) | |
605 | ||
606 | (with-test-prefix "fixnum-max % n" | |
607 | ||
608 | (pass-if "n = 1" | |
609 | (eqv? 0 (modulo fixnum-max 1))) | |
610 | ||
611 | (pass-if "n = -1" | |
612 | (eqv? 0 (modulo fixnum-max -1))) | |
613 | ||
614 | (pass-if "n = fixnum-max" | |
615 | (eqv? 0 (modulo fixnum-max fixnum-max))) | |
616 | ||
617 | (pass-if "n = fixnum-max + 1" | |
618 | (eqv? fixnum-max (modulo fixnum-max (+ fixnum-max 1)))) | |
619 | ||
620 | (pass-if "n = fixnum-min" | |
621 | (eqv? -1 (modulo fixnum-max fixnum-min))) | |
622 | ||
623 | (pass-if "n = fixnum-min - 1" | |
624 | (eqv? -2 (modulo fixnum-max (- fixnum-min 1))))) | |
625 | ||
626 | (with-test-prefix "(fixnum-max + 1) % n" | |
627 | ||
628 | (pass-if "n = 1" | |
629 | (eqv? 0 (modulo (+ fixnum-max 1) 1))) | |
630 | ||
631 | (pass-if "n = -1" | |
632 | (eqv? 0 (modulo (+ fixnum-max 1) -1))) | |
633 | ||
634 | (pass-if "n = fixnum-max" | |
635 | (eqv? 1 (modulo (+ fixnum-max 1) fixnum-max))) | |
636 | ||
637 | (pass-if "n = fixnum-max + 1" | |
638 | (eqv? 0 (modulo (+ fixnum-max 1) (+ fixnum-max 1)))) | |
639 | ||
640 | (pass-if "n = fixnum-min" | |
641 | (eqv? 0 (modulo (+ fixnum-max 1) fixnum-min))) | |
642 | ||
643 | (pass-if "n = fixnum-min - 1" | |
644 | (eqv? -1 (modulo (+ fixnum-max 1) (- fixnum-min 1))))) | |
645 | ||
646 | (with-test-prefix "fixnum-min % n" | |
647 | ||
648 | (pass-if "n = 1" | |
649 | (eqv? 0 (modulo fixnum-min 1))) | |
650 | ||
651 | (pass-if "n = -1" | |
652 | (eqv? 0 (modulo fixnum-min -1))) | |
653 | ||
654 | (pass-if "n = fixnum-max" | |
655 | (eqv? (- fixnum-max 1) (modulo fixnum-min fixnum-max))) | |
656 | ||
657 | (pass-if "n = fixnum-max + 1" | |
658 | (eqv? 0 (modulo fixnum-min (+ fixnum-max 1)))) | |
659 | ||
660 | (pass-if "n = fixnum-min" | |
661 | (eqv? 0 (modulo fixnum-min fixnum-min))) | |
662 | ||
663 | (pass-if "n = fixnum-min - 1" | |
664 | (eqv? fixnum-min (modulo fixnum-min (- fixnum-min 1))))) | |
665 | ||
666 | (with-test-prefix "(fixnum-min - 1) % n" | |
667 | ||
668 | (pass-if "n = 1" | |
669 | (eqv? 0 (modulo (- fixnum-min 1) 1))) | |
670 | ||
671 | (pass-if "n = -1" | |
672 | (eqv? 0 (modulo (- fixnum-min 1) -1))) | |
673 | ||
674 | (pass-if "n = fixnum-max" | |
675 | (eqv? (- fixnum-max 2) (modulo (- fixnum-min 1) fixnum-max))) | |
676 | ||
677 | (pass-if "n = fixnum-max + 1" | |
678 | (eqv? fixnum-max (modulo (- fixnum-min 1) (+ fixnum-max 1)))) | |
679 | ||
680 | (pass-if "n = fixnum-min" | |
681 | (eqv? -1 (modulo (- fixnum-min 1) fixnum-min))) | |
682 | ||
683 | (pass-if "n = fixnum-min - 1" | |
684 | (eqv? 0 (modulo (- fixnum-min 1) (- fixnum-min 1))))) | |
de142bea DH |
685 | |
686 | ;; Positive dividend and divisor | |
687 | ||
688 | (pass-if "13 % 4" | |
689 | (eqv? 1 (modulo 13 4))) | |
690 | ||
691 | (pass-if "2177452800 % 86400" | |
692 | (eqv? 0 (modulo 2177452800 86400))) | |
693 | ||
694 | ;; Negative dividend, positive divisor | |
695 | ||
696 | (pass-if "-13 % 4" | |
697 | (eqv? 3 (modulo -13 4))) | |
698 | ||
699 | (pass-if "-2177452800 % 86400" | |
700 | (eqv? 0 (modulo -2177452800 86400))) | |
701 | ||
702 | ;; Positive dividend, negative divisor | |
703 | ||
704 | (pass-if "13 % -4" | |
705 | (eqv? -3 (modulo 13 -4))) | |
706 | ||
707 | (pass-if "2177452800 % -86400" | |
708 | (eqv? 0 (modulo 2177452800 -86400))) | |
709 | ||
710 | ;; Negative dividend and divisor | |
711 | ||
712 | (pass-if "-13 % -4" | |
713 | (eqv? -1 (modulo -13 -4))) | |
714 | ||
715 | (pass-if "-2177452800 % -86400" | |
716 | (eqv? 0 (modulo -2177452800 -86400))) | |
717 | ||
718 | ;; Are numerical overflows detected correctly? | |
719 | ||
80074d77 DH |
720 | (with-test-prefix "division by zero" |
721 | ||
722 | (pass-if-exception "(modulo 1 0)" | |
723 | exception:numerical-overflow | |
724 | (modulo 1 0)) | |
725 | ||
726 | (pass-if-exception "(modulo bignum 0)" | |
727 | exception:numerical-overflow | |
728 | (modulo (+ fixnum-max 1) 0))) | |
729 | ||
de142bea DH |
730 | ;; Are wrong type arguments detected correctly? |
731 | ||
732 | ) | |
733 | ||
734 | ;;; | |
735 | ;;; gcd | |
736 | ;;; | |
737 | ||
738 | (with-test-prefix "gcd" | |
739 | ||
de142bea | 740 | (expect-fail "documented?" |
cb18f2a8 | 741 | (documented? gcd)) |
de142bea | 742 | |
de142bea DH |
743 | (with-test-prefix "(0 n)" |
744 | ||
21e39e8f DH |
745 | (pass-if "n = 0" |
746 | (eqv? 0 (gcd 0 0))) | |
747 | ||
de142bea DH |
748 | (pass-if "n = 1" |
749 | (eqv? 1 (gcd 0 1))) | |
750 | ||
751 | (pass-if "n = -1" | |
752 | (eqv? 1 (gcd 0 -1))) | |
753 | ||
21e39e8f DH |
754 | (pass-if "n = fixnum-max" |
755 | (eqv? fixnum-max (gcd 0 fixnum-max))) | |
de142bea | 756 | |
21e39e8f DH |
757 | (pass-if "n = fixnum-max + 1" |
758 | (eqv? (+ fixnum-max 1) (gcd 0 (+ fixnum-max 1)))) | |
de142bea | 759 | |
21e39e8f DH |
760 | (pass-if "n = fixnum-min" |
761 | (eqv? (- fixnum-min) (gcd 0 fixnum-min))) | |
de142bea | 762 | |
21e39e8f DH |
763 | (pass-if "n = fixnum-min - 1" |
764 | (eqv? (- (- fixnum-min 1)) (gcd 0 (- fixnum-min 1))))) | |
765 | ||
db386f80 KR |
766 | (with-test-prefix "(n 0)" |
767 | ||
768 | (pass-if "n = 2^128 * fixnum-max" | |
769 | (eqv? (ash fixnum-max 128) (gcd (ash fixnum-max 128) 0)))) | |
770 | ||
21e39e8f DH |
771 | (with-test-prefix "(1 n)" |
772 | ||
773 | (pass-if "n = 0" | |
de142bea DH |
774 | (eqv? 1 (gcd 1 0))) |
775 | ||
21e39e8f DH |
776 | (pass-if "n = 1" |
777 | (eqv? 1 (gcd 1 1))) | |
778 | ||
de142bea | 779 | (pass-if "n = -1" |
21e39e8f DH |
780 | (eqv? 1 (gcd 1 -1))) |
781 | ||
782 | (pass-if "n = fixnum-max" | |
783 | (eqv? 1 (gcd 1 fixnum-max))) | |
784 | ||
785 | (pass-if "n = fixnum-max + 1" | |
786 | (eqv? 1 (gcd 1 (+ fixnum-max 1)))) | |
787 | ||
788 | (pass-if "n = fixnum-min" | |
789 | (eqv? 1 (gcd 1 fixnum-min))) | |
790 | ||
791 | (pass-if "n = fixnum-min - 1" | |
792 | (eqv? 1 (gcd 1 (- fixnum-min 1))))) | |
793 | ||
794 | (with-test-prefix "(-1 n)" | |
795 | ||
796 | (pass-if "n = 0" | |
de142bea DH |
797 | (eqv? 1 (gcd -1 0))) |
798 | ||
21e39e8f DH |
799 | (pass-if "n = 1" |
800 | (eqv? 1 (gcd -1 1))) | |
de142bea | 801 | |
21e39e8f DH |
802 | (pass-if "n = -1" |
803 | (eqv? 1 (gcd -1 -1))) | |
de142bea | 804 | |
21e39e8f DH |
805 | (pass-if "n = fixnum-max" |
806 | (eqv? 1 (gcd -1 fixnum-max))) | |
807 | ||
808 | (pass-if "n = fixnum-max + 1" | |
809 | (eqv? 1 (gcd -1 (+ fixnum-max 1)))) | |
810 | ||
811 | (pass-if "n = fixnum-min" | |
812 | (eqv? 1 (gcd -1 fixnum-min))) | |
813 | ||
814 | (pass-if "n = fixnum-min - 1" | |
815 | (eqv? 1 (gcd -1 (- fixnum-min 1))))) | |
816 | ||
817 | (with-test-prefix "(fixnum-max n)" | |
818 | ||
819 | (pass-if "n = 0" | |
820 | (eqv? fixnum-max (gcd fixnum-max 0))) | |
de142bea DH |
821 | |
822 | (pass-if "n = 1" | |
21e39e8f | 823 | (eqv? 1 (gcd fixnum-max 1))) |
de142bea DH |
824 | |
825 | (pass-if "n = -1" | |
21e39e8f DH |
826 | (eqv? 1 (gcd fixnum-max -1))) |
827 | ||
828 | (pass-if "n = fixnum-max" | |
829 | (eqv? fixnum-max (gcd fixnum-max fixnum-max))) | |
de142bea | 830 | |
21e39e8f DH |
831 | (pass-if "n = fixnum-max + 1" |
832 | (eqv? 1 (gcd fixnum-max (+ fixnum-max 1)))) | |
de142bea | 833 | |
21e39e8f DH |
834 | (pass-if "n = fixnum-min" |
835 | (eqv? 1 (gcd fixnum-max fixnum-min))) | |
de142bea | 836 | |
21e39e8f DH |
837 | (pass-if "n = fixnum-min - 1" |
838 | (eqv? 1 (gcd fixnum-max (- fixnum-min 1))))) | |
839 | ||
840 | (with-test-prefix "((+ fixnum-max 1) n)" | |
841 | ||
842 | (pass-if "n = 0" | |
843 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) 0))) | |
844 | ||
845 | (pass-if "n = 1" | |
846 | (eqv? 1 (gcd (+ fixnum-max 1) 1))) | |
de142bea DH |
847 | |
848 | (pass-if "n = -1" | |
21e39e8f | 849 | (eqv? 1 (gcd (+ fixnum-max 1) -1))) |
de142bea | 850 | |
21e39e8f DH |
851 | (pass-if "n = fixnum-max" |
852 | (eqv? 1 (gcd (+ fixnum-max 1) fixnum-max))) | |
de142bea | 853 | |
21e39e8f DH |
854 | (pass-if "n = fixnum-max + 1" |
855 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) (+ fixnum-max 1)))) | |
de142bea | 856 | |
21e39e8f DH |
857 | (pass-if "n = fixnum-min" |
858 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) fixnum-min))) | |
859 | ||
860 | (pass-if "n = fixnum-min - 1" | |
861 | (eqv? 1 (gcd (+ fixnum-max 1) (- fixnum-min 1))))) | |
862 | ||
863 | (with-test-prefix "(fixnum-min n)" | |
864 | ||
865 | (pass-if "n = 0" | |
866 | (eqv? (- fixnum-min) (gcd fixnum-min 0))) | |
867 | ||
868 | (pass-if "n = 1" | |
869 | (eqv? 1 (gcd fixnum-min 1))) | |
de142bea DH |
870 | |
871 | (pass-if "n = -1" | |
21e39e8f DH |
872 | (eqv? 1 (gcd fixnum-min -1))) |
873 | ||
874 | (pass-if "n = fixnum-max" | |
875 | (eqv? 1 (gcd fixnum-min fixnum-max))) | |
876 | ||
877 | (pass-if "n = fixnum-max + 1" | |
878 | (eqv? (+ fixnum-max 1) (gcd fixnum-min (+ fixnum-max 1)))) | |
de142bea | 879 | |
21e39e8f DH |
880 | (pass-if "n = fixnum-min" |
881 | (eqv? (- fixnum-min) (gcd fixnum-min fixnum-min))) | |
882 | ||
883 | (pass-if "n = fixnum-min - 1" | |
884 | (eqv? 1 (gcd fixnum-min (- fixnum-min 1))))) | |
885 | ||
886 | (with-test-prefix "((- fixnum-min 1) n)" | |
887 | ||
888 | (pass-if "n = 0" | |
889 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) 0))) | |
890 | ||
891 | (pass-if "n = 1" | |
892 | (eqv? 1 (gcd (- fixnum-min 1) 1))) | |
893 | ||
894 | (pass-if "n = -1" | |
895 | (eqv? 1 (gcd (- fixnum-min 1) -1))) | |
896 | ||
897 | (pass-if "n = fixnum-max" | |
898 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-max))) | |
899 | ||
900 | (pass-if "n = fixnum-max + 1" | |
901 | (eqv? 1 (gcd (- fixnum-min 1) (+ fixnum-max 1)))) | |
902 | ||
903 | (pass-if "n = fixnum-min" | |
904 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-min))) | |
905 | ||
906 | (pass-if "n = fixnum-min - 1" | |
907 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) (- fixnum-min 1))))) | |
de142bea DH |
908 | |
909 | ;; Are wrong type arguments detected correctly? | |
910 | ||
911 | ) | |
912 | ||
f29b3454 DH |
913 | ;;; |
914 | ;;; lcm | |
915 | ;;; | |
916 | ||
7c24e528 RB |
917 | (with-test-prefix "lcm" |
918 | ;; FIXME: more tests? | |
919 | ;; (some of these are already in r4rs.test) | |
920 | (expect-fail (documented? lcm)) | |
921 | (pass-if (= (lcm) 1)) | |
922 | (pass-if (= (lcm 32 -36) 288)) | |
923 | (let ((big-n 115792089237316195423570985008687907853269984665640564039457584007913129639936) ; 2 ^ 256 | |
924 | (lcm-of-big-n-and-11 1273712981610478149659280835095566986385969831322046204434033424087044426039296)) | |
925 | (pass-if (= lcm-of-big-n-and-11 (lcm big-n 11))) | |
926 | (pass-if (= lcm-of-big-n-and-11 (lcm 11 big-n 11))))) | |
927 | ||
f29b3454 DH |
928 | ;;; |
929 | ;;; number->string | |
930 | ;;; | |
931 | ||
7c24e528 RB |
932 | (with-test-prefix "number->string" |
933 | (let ((num->str->num | |
934 | (lambda (n radix) | |
935 | (string->number (number->string n radix) radix)))) | |
936 | ||
937 | (pass-if (documented? number->string)) | |
938 | (pass-if (string=? (number->string 0) "0")) | |
939 | (pass-if (string=? (number->string 171) "171")) | |
940 | (pass-if (= (+ fixnum-max 1) (num->str->num (+ fixnum-max 1) 10))) | |
941 | (pass-if (= (- fixnum-min 1) (num->str->num (- fixnum-min 1) 10))) | |
942 | (pass-if (= (inf) (num->str->num (inf) 10))) | |
943 | (pass-if (= 1.3 (num->str->num 1.3 10))))) | |
944 | ||
f29b3454 DH |
945 | ;;; |
946 | ;;; string->number | |
947 | ;;; | |
948 | ||
2f4a254a DH |
949 | (with-test-prefix "string->number" |
950 | ||
951 | (pass-if "string->number" | |
952 | (documented? string->number)) | |
953 | ||
954 | (pass-if "non number strings" | |
955 | (for-each (lambda (x) (if (string->number x) (throw 'fail))) | |
569c483b | 956 | '("" "q" "1q" "6+7iq" "8+9q" "10+11" "13+" "18@19q" "20@q" "23@" |
2f4a254a | 957 | "+25iq" "26i" "-q" "-iq" "i" "5#.0" "8/" "10#11" ".#" "." |
569c483b | 958 | "#o.2" "3.4q" "15.16e17q" "18.19e+q" ".q" ".17#18" "10q" "#b2" |
2f4a254a DH |
959 | "#b3" "#b4" "#b5" "#b6" "#b7" "#b8" "#b9" "#ba" "#bb" "#bc" |
960 | "#bd" "#be" "#bf" "#q" "#b#b1" "#o#o1" "#d#d1" "#x#x1" "#e#e1" | |
961 | "#i#i1" "12@12+0i")) | |
962 | #t) | |
963 | ||
b7d9b1cf DH |
964 | (pass-if "valid number strings" |
965 | (for-each (lambda (couple) | |
966 | (apply | |
967 | (lambda (x y) | |
968 | (let ((x (string->number x))) | |
969 | (if (or (eq? x #f) (not (eqv? x y))) (throw 'fail)))) | |
970 | couple)) | |
971 | `(;; Radix: | |
972 | ("#b0" 0) ("#B0" 0) ("#b1" 1) ("#B1" 1) ("#o0" 0) ("#O0" 0) | |
973 | ("#o1" 1) ("#O1" 1) ("#o2" 2) ("#O2" 2) ("#o3" 3) ("#O3" 3) | |
974 | ("#o4" 4) ("#O4" 4) ("#o5" 5) ("#O5" 5) ("#o6" 6) ("#O6" 6) | |
975 | ("#o7" 7) ("#O7" 7) ("#d0" 0) ("#D0" 0) ("#d1" 1) ("#D1" 1) | |
976 | ("#d2" 2) ("#D2" 2) ("#d3" 3) ("#D3" 3) ("#d4" 4) ("#D4" 4) | |
977 | ("#d5" 5) ("#D5" 5) ("#d6" 6) ("#D6" 6) ("#d7" 7) ("#D7" 7) | |
978 | ("#d8" 8) ("#D8" 8) ("#d9" 9) ("#D9" 9) | |
979 | ("#xa" 10) ("#Xa" 10) ("#xb" 11) ("#Xb" 11) | |
980 | ("#xc" 12) ("#Xc" 12) ("#xd" 13) ("#Xd" 13) | |
981 | ("#xe" 14) ("#Xe" 14) ("#xf" 15) ("#Xf" 15) | |
982 | ("#b1010" 10) | |
983 | ("#o12345670" 2739128) | |
984 | ("#d1234567890" 1234567890) | |
985 | ("#x1234567890abcdef" 1311768467294899695) | |
986 | ;; Exactness: | |
987 | ("#e1" 1) ("#e1.2" 1) ("#i1.1" 1.1) ("#i1" 1.0) | |
988 | ;; Integers: | |
989 | ("1" ,(1+ 0)) ("23" ,(+ 9 9 5)) ("-1" ,(- 0 1)) | |
990 | ("-45" ,(- 0 45)) ("2#" 20.0) ("2##" 200.0) ("12##" 1200.0) | |
991 | ("#b#i100" 4.0) | |
992 | ;; Rationals: | |
993 | ("1/1" 1) ("1/2" 0.5) ("-1/2" -0.5) ("1#/1" 10.0) | |
994 | ("10/1#" 1.0) ("1#/1#" 1.0) ("#e9/10" 1) ("#e10/1#" 1) | |
995 | ("#i6/8" 0.75) ("#i1/1" 1.0) | |
996 | ;; Decimal numbers: | |
997 | ;; * <uinteger 10> <suffix> | |
998 | ("1e2" 100.0) ("1E2" 100.0) ("1s2" 100.0) ("1S2" 100.0) | |
999 | ("1f2" 100.0) ("1F2" 100.0) ("1d2" 100.0) ("1D2" 100.0) | |
1000 | ("1l2" 100.0) ("1L2" 100.0) ("1e+2" 100.0) ("1e-2" 0.01) | |
1001 | ;; * . <digit 10>+ #* <suffix> | |
1002 | (".1" .1) (".0123456789" 123456789e-10) (".16#" 0.16) | |
1003 | (".0123456789e10" 123456789.0) (".16#e3" 160.0) ("#d.3" 0.3) | |
1004 | ;; * <digit 10>+ . <digit 10>* #* <suffix> | |
1005 | ("3." ,(exact->inexact 3)) ("3.e0" ,(exact->inexact 3)) | |
1006 | ("3.1" ,(exact->inexact 31/10)) ("3.1e0" 3.1) ("3.1#" 3.1) | |
1007 | ("3.1#e0" 3.1) | |
1008 | ;; * <digit 10>+ #+ . #* <suffix> | |
1009 | ("3#." 30.0) ("3#.e0" 30.0) ("3#.#" 30.0) ("3#.#e0" 30.0) | |
1010 | ;; Complex: | |
1011 | ("1@0" 1.0) ("1@+0" 1.0) ("1@-0" 1.0) | |
1012 | ("2+3i" ,(+ 2 (* 3 +i))) ("4-5i" ,(- 4 (* 5 +i))) | |
1013 | ("1+i" 1+1i) ("1-i" 1-1i) ("+1i" 0+1i) ("-1i" 0-1i) | |
1014 | ("+i" +1i) ("-i" -1i))) | |
1015 | #t) | |
1016 | ||
2f4a254a DH |
1017 | (pass-if-exception "exponent too big" |
1018 | exception:out-of-range | |
1019 | (string->number "12.13e141414"))) | |
1020 | ||
f29b3454 DH |
1021 | ;;; |
1022 | ;;; number? | |
1023 | ;;; | |
1024 | ||
7c24e528 RB |
1025 | (with-test-prefix "number?" |
1026 | (pass-if (documented? number?)) | |
1027 | (pass-if (number? 0)) | |
1028 | (pass-if (number? 7)) | |
1029 | (pass-if (number? -7)) | |
1030 | (pass-if (number? 1.3)) | |
1031 | (pass-if (number? (+ 1 fixnum-max))) | |
1032 | (pass-if (number? (- 1 fixnum-min))) | |
1033 | (pass-if (number? 3+4i)) | |
4d332f19 DH |
1034 | (pass-if (not (number? #\a))) |
1035 | (pass-if (not (number? "a"))) | |
1036 | (pass-if (not (number? (make-vector 0)))) | |
1037 | (pass-if (not (number? (cons 1 2)))) | |
1038 | (pass-if (not (number? #t))) | |
1039 | (pass-if (not (number? (lambda () #t)))) | |
1040 | (pass-if (not (number? (current-input-port))))) | |
7c24e528 | 1041 | |
f29b3454 DH |
1042 | ;;; |
1043 | ;;; complex? | |
1044 | ;;; | |
1045 | ||
7c24e528 RB |
1046 | (with-test-prefix "complex?" |
1047 | (pass-if (documented? complex?)) | |
1048 | (pass-if (complex? 0)) | |
1049 | (pass-if (complex? 7)) | |
1050 | (pass-if (complex? -7)) | |
1051 | (pass-if (complex? (+ 1 fixnum-max))) | |
1052 | (pass-if (complex? (- 1 fixnum-min))) | |
1053 | (pass-if (complex? 1.3)) | |
1054 | (pass-if (complex? 3+4i)) | |
4d332f19 DH |
1055 | (pass-if (not (complex? #\a))) |
1056 | (pass-if (not (complex? "a"))) | |
1057 | (pass-if (not (complex? (make-vector 0)))) | |
1058 | (pass-if (not (complex? (cons 1 2)))) | |
1059 | (pass-if (not (complex? #t))) | |
1060 | (pass-if (not (complex? (lambda () #t)))) | |
1061 | (pass-if (not (complex? (current-input-port))))) | |
7c24e528 | 1062 | |
f29b3454 DH |
1063 | ;;; |
1064 | ;;; real? | |
1065 | ;;; | |
1066 | ||
7c24e528 RB |
1067 | (with-test-prefix "real?" |
1068 | (pass-if (documented? real?)) | |
1069 | (pass-if (real? 0)) | |
1070 | (pass-if (real? 7)) | |
1071 | (pass-if (real? -7)) | |
1072 | (pass-if (real? (+ 1 fixnum-max))) | |
1073 | (pass-if (real? (- 1 fixnum-min))) | |
1074 | (pass-if (real? 1.3)) | |
4d332f19 DH |
1075 | (pass-if (not (real? 3+4i))) |
1076 | (pass-if (not (real? #\a))) | |
1077 | (pass-if (not (real? "a"))) | |
1078 | (pass-if (not (real? (make-vector 0)))) | |
1079 | (pass-if (not (real? (cons 1 2)))) | |
1080 | (pass-if (not (real? #t))) | |
1081 | (pass-if (not (real? (lambda () #t)))) | |
1082 | (pass-if (not (real? (current-input-port))))) | |
7c24e528 | 1083 | |
f29b3454 | 1084 | ;;; |
7c24e528 | 1085 | ;;; rational? (same as real? right now) |
f29b3454 DH |
1086 | ;;; |
1087 | ||
7c24e528 RB |
1088 | (with-test-prefix "rational?" |
1089 | (pass-if (documented? rational?)) | |
1090 | (pass-if (rational? 0)) | |
1091 | (pass-if (rational? 7)) | |
1092 | (pass-if (rational? -7)) | |
1093 | (pass-if (rational? (+ 1 fixnum-max))) | |
1094 | (pass-if (rational? (- 1 fixnum-min))) | |
1095 | (pass-if (rational? 1.3)) | |
4d332f19 DH |
1096 | (pass-if (not (rational? 3+4i))) |
1097 | (pass-if (not (rational? #\a))) | |
1098 | (pass-if (not (rational? "a"))) | |
1099 | (pass-if (not (rational? (make-vector 0)))) | |
1100 | (pass-if (not (rational? (cons 1 2)))) | |
1101 | (pass-if (not (rational? #t))) | |
1102 | (pass-if (not (rational? (lambda () #t)))) | |
1103 | (pass-if (not (rational? (current-input-port))))) | |
7c24e528 | 1104 | |
f29b3454 DH |
1105 | ;;; |
1106 | ;;; integer? | |
1107 | ;;; | |
1108 | ||
7c24e528 RB |
1109 | (with-test-prefix "integer?" |
1110 | (pass-if (documented? integer?)) | |
1111 | (pass-if (integer? 0)) | |
1112 | (pass-if (integer? 7)) | |
1113 | (pass-if (integer? -7)) | |
1114 | (pass-if (integer? (+ 1 fixnum-max))) | |
1115 | (pass-if (integer? (- 1 fixnum-min))) | |
1116 | (pass-if (and (= 3+0i (round 3+0i)) (integer? 3+0i))) | |
1117 | (pass-if (and (= 1.0 (round 1.0)) (integer? 1.0))) | |
4d332f19 DH |
1118 | (pass-if (not (integer? 1.3))) |
1119 | (pass-if (not (integer? 3+4i))) | |
1120 | (pass-if (not (integer? #\a))) | |
1121 | (pass-if (not (integer? "a"))) | |
1122 | (pass-if (not (integer? (make-vector 0)))) | |
1123 | (pass-if (not (integer? (cons 1 2)))) | |
1124 | (pass-if (not (integer? #t))) | |
1125 | (pass-if (not (integer? (lambda () #t)))) | |
1126 | (pass-if (not (integer? (current-input-port))))) | |
7c24e528 | 1127 | |
f29b3454 DH |
1128 | ;;; |
1129 | ;;; inexact? | |
1130 | ;;; | |
1131 | ||
7c24e528 RB |
1132 | (with-test-prefix "inexact?" |
1133 | (pass-if (documented? inexact?)) | |
4d332f19 DH |
1134 | (pass-if (not (inexact? 0))) |
1135 | (pass-if (not (inexact? 7))) | |
1136 | (pass-if (not (inexact? -7))) | |
1137 | (pass-if (not (inexact? (+ 1 fixnum-max)))) | |
1138 | (pass-if (not (inexact? (- 1 fixnum-min)))) | |
7c24e528 RB |
1139 | (pass-if (inexact? 1.3)) |
1140 | (pass-if (inexact? 3.1+4.2i)) | |
4d332f19 DH |
1141 | (pass-if (not (inexact? #\a))) |
1142 | (pass-if (not (inexact? "a"))) | |
1143 | (pass-if (not (inexact? (make-vector 0)))) | |
1144 | (pass-if (not (inexact? (cons 1 2)))) | |
1145 | (pass-if (not (inexact? #t))) | |
1146 | (pass-if (not (inexact? (lambda () #t)))) | |
1147 | (pass-if (not (inexact? (current-input-port))))) | |
7c24e528 | 1148 | |
f29b3454 DH |
1149 | ;;; |
1150 | ;;; = | |
1151 | ;;; | |
1152 | ||
7c24e528 RB |
1153 | (with-test-prefix "=" |
1154 | (expect-fail (documented? =)) | |
1155 | (pass-if (= 0 0)) | |
1156 | (pass-if (= 7 7)) | |
1157 | (pass-if (= -7 -7)) | |
1158 | (pass-if (= (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
1159 | (pass-if (= (- 1 fixnum-min) (- 1 fixnum-min))) | |
4d332f19 DH |
1160 | (pass-if (not (= 0 1))) |
1161 | (pass-if (not (= fixnum-max (+ 1 fixnum-max)))) | |
1162 | (pass-if (not (= (+ 1 fixnum-max) fixnum-max))) | |
1163 | (pass-if (not (= fixnum-min (- fixnum-min 1)))) | |
1164 | (pass-if (not (= (- fixnum-min 1) fixnum-min))) | |
1165 | (pass-if (not (= (+ fixnum-max 1) (- fixnum-min 1)))) | |
2cfcaed5 | 1166 | |
adda36ed KR |
1167 | (pass-if (not (= (ash 1 256) +inf.0))) |
1168 | (pass-if (not (= +inf.0 (ash 1 256)))) | |
1169 | (pass-if (not (= (ash 1 256) -inf.0))) | |
1170 | (pass-if (not (= -inf.0 (ash 1 256)))) | |
1171 | ||
1172 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
1173 | ;; sure we've avoided that | |
1174 | (pass-if (not (= (ash 1 1024) +inf.0))) | |
1175 | (pass-if (not (= +inf.0 (ash 1 1024)))) | |
1176 | (pass-if (not (= (- (ash 1 1024)) -inf.0))) | |
1177 | (pass-if (not (= -inf.0 (- (ash 1 1024))))) | |
1178 | ||
2cfcaed5 KR |
1179 | (pass-if (not (= +nan.0 +nan.0))) |
1180 | (pass-if (not (= 0 +nan.0))) | |
1181 | (pass-if (not (= +nan.0 0))) | |
1182 | (pass-if (not (= 1 +nan.0))) | |
1183 | (pass-if (not (= +nan.0 1))) | |
1184 | (pass-if (not (= -1 +nan.0))) | |
1185 | (pass-if (not (= +nan.0 -1))) | |
1186 | ||
1187 | (pass-if (not (= (ash 1 256) +nan.0))) | |
1188 | (pass-if (not (= +nan.0 (ash 1 256)))) | |
1189 | (pass-if (not (= (- (ash 1 256)) +nan.0))) | |
1190 | (pass-if (not (= +nan.0 (- (ash 1 256))))) | |
1191 | ||
1192 | (pass-if (not (= (ash 1 8192) +nan.0))) | |
1193 | (pass-if (not (= +nan.0 (ash 1 8192)))) | |
1194 | (pass-if (not (= (- (ash 1 8192)) +nan.0))) | |
1195 | (pass-if (not (= +nan.0 (- (ash 1 8192))))) | |
1196 | ||
1197 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
1198 | ;; sure we've avoided that | |
1199 | (pass-if (not (= (ash 3 1023) +nan.0))) | |
1200 | (pass-if (not (= +nan.0 (ash 3 1023))))) | |
7c24e528 | 1201 | |
de142bea DH |
1202 | ;;; |
1203 | ;;; < | |
1204 | ;;; | |
1205 | ||
1206 | (with-test-prefix "<" | |
1207 | ||
de142bea | 1208 | (expect-fail "documented?" |
cb18f2a8 | 1209 | (documented? <)) |
de142bea | 1210 | |
de142bea DH |
1211 | (with-test-prefix "(< 0 n)" |
1212 | ||
1213 | (pass-if "n = 0" | |
1214 | (not (< 0 0))) | |
1215 | ||
1216 | (pass-if "n = 0.0" | |
1217 | (not (< 0 0.0))) | |
1218 | ||
1219 | (pass-if "n = 1" | |
1220 | (< 0 1)) | |
1221 | ||
1222 | (pass-if "n = 1.0" | |
1223 | (< 0 1.0)) | |
1224 | ||
1225 | (pass-if "n = -1" | |
1226 | (not (< 0 -1))) | |
1227 | ||
1228 | (pass-if "n = -1.0" | |
1229 | (not (< 0 -1.0))) | |
1230 | ||
21e39e8f DH |
1231 | (pass-if "n = fixnum-max" |
1232 | (< 0 fixnum-max)) | |
1233 | ||
1234 | (pass-if "n = fixnum-max + 1" | |
1235 | (< 0 (+ fixnum-max 1))) | |
1236 | ||
1237 | (pass-if "n = fixnum-min" | |
1238 | (not (< 0 fixnum-min))) | |
de142bea | 1239 | |
21e39e8f DH |
1240 | (pass-if "n = fixnum-min - 1" |
1241 | (not (< 0 (- fixnum-min 1))))) | |
1242 | ||
de142bea DH |
1243 | (with-test-prefix "(< 0.0 n)" |
1244 | ||
1245 | (pass-if "n = 0" | |
1246 | (not (< 0.0 0))) | |
1247 | ||
1248 | (pass-if "n = 0.0" | |
1249 | (not (< 0.0 0.0))) | |
1250 | ||
1251 | (pass-if "n = 1" | |
1252 | (< 0.0 1)) | |
1253 | ||
1254 | (pass-if "n = 1.0" | |
1255 | (< 0.0 1.0)) | |
1256 | ||
1257 | (pass-if "n = -1" | |
1258 | (not (< 0.0 -1))) | |
1259 | ||
1260 | (pass-if "n = -1.0" | |
1261 | (not (< 0.0 -1.0))) | |
1262 | ||
21e39e8f DH |
1263 | (pass-if "n = fixnum-max" |
1264 | (< 0.0 fixnum-max)) | |
1265 | ||
1266 | (pass-if "n = fixnum-max + 1" | |
1267 | (< 0.0 (+ fixnum-max 1))) | |
de142bea | 1268 | |
21e39e8f DH |
1269 | (pass-if "n = fixnum-min" |
1270 | (not (< 0.0 fixnum-min))) | |
1271 | ||
1272 | (pass-if "n = fixnum-min - 1" | |
1273 | (not (< 0.0 (- fixnum-min 1))))) | |
1274 | ||
1275 | (with-test-prefix "(< 1 n)" | |
de142bea | 1276 | |
21e39e8f | 1277 | (pass-if "n = 0" |
de142bea DH |
1278 | (not (< 1 0))) |
1279 | ||
21e39e8f DH |
1280 | (pass-if "n = 0.0" |
1281 | (not (< 1 0.0))) | |
1282 | ||
1283 | (pass-if "n = 1" | |
1284 | (not (< 1 1))) | |
1285 | ||
de142bea | 1286 | (pass-if "n = 1.0" |
21e39e8f DH |
1287 | (not (< 1 1.0))) |
1288 | ||
1289 | (pass-if "n = -1" | |
1290 | (not (< 1 -1))) | |
1291 | ||
1292 | (pass-if "n = -1.0" | |
1293 | (not (< 1 -1.0))) | |
1294 | ||
1295 | (pass-if "n = fixnum-max" | |
1296 | (< 1 fixnum-max)) | |
1297 | ||
1298 | (pass-if "n = fixnum-max + 1" | |
1299 | (< 1 (+ fixnum-max 1))) | |
1300 | ||
1301 | (pass-if "n = fixnum-min" | |
1302 | (not (< 1 fixnum-min))) | |
1303 | ||
1304 | (pass-if "n = fixnum-min - 1" | |
1305 | (not (< 1 (- fixnum-min 1))))) | |
1306 | ||
1307 | (with-test-prefix "(< 1.0 n)" | |
1308 | ||
1309 | (pass-if "n = 0" | |
de142bea DH |
1310 | (not (< 1.0 0))) |
1311 | ||
21e39e8f DH |
1312 | (pass-if "n = 0.0" |
1313 | (not (< 1.0 0.0))) | |
1314 | ||
1315 | (pass-if "n = 1" | |
1316 | (not (< 1.0 1))) | |
1317 | ||
1318 | (pass-if "n = 1.0" | |
1319 | (not (< 1.0 1.0))) | |
1320 | ||
de142bea | 1321 | (pass-if "n = -1" |
21e39e8f DH |
1322 | (not (< 1.0 -1))) |
1323 | ||
1324 | (pass-if "n = -1.0" | |
1325 | (not (< 1.0 -1.0))) | |
1326 | ||
1327 | (pass-if "n = fixnum-max" | |
1328 | (< 1.0 fixnum-max)) | |
1329 | ||
1330 | (pass-if "n = fixnum-max + 1" | |
1331 | (< 1.0 (+ fixnum-max 1))) | |
1332 | ||
1333 | (pass-if "n = fixnum-min" | |
1334 | (not (< 1.0 fixnum-min))) | |
1335 | ||
1336 | (pass-if "n = fixnum-min - 1" | |
1337 | (not (< 1.0 (- fixnum-min 1))))) | |
1338 | ||
1339 | (with-test-prefix "(< -1 n)" | |
1340 | ||
1341 | (pass-if "n = 0" | |
de142bea DH |
1342 | (< -1 0)) |
1343 | ||
21e39e8f DH |
1344 | (pass-if "n = 0.0" |
1345 | (< -1 0.0)) | |
1346 | ||
1347 | (pass-if "n = 1" | |
1348 | (< -1 1)) | |
1349 | ||
1350 | (pass-if "n = 1.0" | |
1351 | (< -1 1.0)) | |
1352 | ||
1353 | (pass-if "n = -1" | |
1354 | (not (< -1 -1))) | |
1355 | ||
de142bea | 1356 | (pass-if "n = -1.0" |
21e39e8f DH |
1357 | (not (< -1 -1.0))) |
1358 | ||
1359 | (pass-if "n = fixnum-max" | |
1360 | (< -1 fixnum-max)) | |
1361 | ||
1362 | (pass-if "n = fixnum-max + 1" | |
1363 | (< -1 (+ fixnum-max 1))) | |
1364 | ||
1365 | (pass-if "n = fixnum-min" | |
1366 | (not (< -1 fixnum-min))) | |
1367 | ||
1368 | (pass-if "n = fixnum-min - 1" | |
1369 | (not (< -1 (- fixnum-min 1))))) | |
1370 | ||
1371 | (with-test-prefix "(< -1.0 n)" | |
1372 | ||
1373 | (pass-if "n = 0" | |
de142bea DH |
1374 | (< -1.0 0)) |
1375 | ||
21e39e8f DH |
1376 | (pass-if "n = 0.0" |
1377 | (< -1.0 0.0)) | |
1378 | ||
1379 | (pass-if "n = 1" | |
1380 | (< -1.0 1)) | |
1381 | ||
1382 | (pass-if "n = 1.0" | |
1383 | (< -1.0 1.0)) | |
1384 | ||
1385 | (pass-if "n = -1" | |
1386 | (not (< -1.0 -1))) | |
1387 | ||
1388 | (pass-if "n = -1.0" | |
1389 | (not (< -1.0 -1.0))) | |
1390 | ||
1391 | (pass-if "n = fixnum-max" | |
1392 | (< -1.0 fixnum-max)) | |
1393 | ||
1394 | (pass-if "n = fixnum-max + 1" | |
1395 | (< -1.0 (+ fixnum-max 1))) | |
de142bea | 1396 | |
21e39e8f DH |
1397 | (pass-if "n = fixnum-min" |
1398 | (not (< -1.0 fixnum-min))) | |
1399 | ||
1400 | (pass-if "n = fixnum-min - 1" | |
1401 | (not (< -1.0 (- fixnum-min 1))))) | |
1402 | ||
1403 | (with-test-prefix "(< fixnum-max n)" | |
1404 | ||
1405 | (pass-if "n = 0" | |
1406 | (not (< fixnum-max 0))) | |
1407 | ||
1408 | (pass-if "n = 0.0" | |
1409 | (not (< fixnum-max 0.0))) | |
de142bea DH |
1410 | |
1411 | (pass-if "n = 1" | |
21e39e8f | 1412 | (not (< fixnum-max 1))) |
de142bea DH |
1413 | |
1414 | (pass-if "n = 1.0" | |
21e39e8f | 1415 | (not (< fixnum-max 1.0))) |
de142bea DH |
1416 | |
1417 | (pass-if "n = -1" | |
21e39e8f | 1418 | (not (< fixnum-max -1))) |
de142bea DH |
1419 | |
1420 | (pass-if "n = -1.0" | |
21e39e8f | 1421 | (not (< fixnum-max -1.0))) |
de142bea | 1422 | |
21e39e8f DH |
1423 | (pass-if "n = fixnum-max" |
1424 | (not (< fixnum-max fixnum-max))) | |
de142bea | 1425 | |
21e39e8f DH |
1426 | (pass-if "n = fixnum-max + 1" |
1427 | (< fixnum-max (+ fixnum-max 1))) | |
1428 | ||
1429 | (pass-if "n = fixnum-min" | |
1430 | (not (< fixnum-max fixnum-min))) | |
1431 | ||
1432 | (pass-if "n = fixnum-min - 1" | |
1433 | (not (< fixnum-max (- fixnum-min 1))))) | |
1434 | ||
1435 | (with-test-prefix "(< (+ fixnum-max 1) n)" | |
1436 | ||
1437 | (pass-if "n = 0" | |
1438 | (not (< (+ fixnum-max 1) 0))) | |
1439 | ||
1440 | (pass-if "n = 0.0" | |
1441 | (not (< (+ fixnum-max 1) 0.0))) | |
de142bea DH |
1442 | |
1443 | (pass-if "n = 1" | |
21e39e8f | 1444 | (not (< (+ fixnum-max 1) 1))) |
de142bea DH |
1445 | |
1446 | (pass-if "n = 1.0" | |
21e39e8f | 1447 | (not (< (+ fixnum-max 1) 1.0))) |
de142bea DH |
1448 | |
1449 | (pass-if "n = -1" | |
21e39e8f | 1450 | (not (< (+ fixnum-max 1) -1))) |
de142bea DH |
1451 | |
1452 | (pass-if "n = -1.0" | |
21e39e8f | 1453 | (not (< (+ fixnum-max 1) -1.0))) |
de142bea | 1454 | |
21e39e8f DH |
1455 | (pass-if "n = fixnum-max" |
1456 | (not (< (+ fixnum-max 1) fixnum-max))) | |
de142bea | 1457 | |
21e39e8f DH |
1458 | (pass-if "n = fixnum-max + 1" |
1459 | (not (< (+ fixnum-max 1) (+ fixnum-max 1)))) | |
de142bea | 1460 | |
21e39e8f DH |
1461 | (pass-if "n = fixnum-min" |
1462 | (not (< (+ fixnum-max 1) fixnum-min))) | |
1463 | ||
1464 | (pass-if "n = fixnum-min - 1" | |
1465 | (not (< (+ fixnum-max 1) (- fixnum-min 1))))) | |
1466 | ||
1467 | (with-test-prefix "(< fixnum-min n)" | |
1468 | ||
1469 | (pass-if "n = 0" | |
1470 | (< fixnum-min 0)) | |
1471 | ||
1472 | (pass-if "n = 0.0" | |
1473 | (< fixnum-min 0.0)) | |
de142bea DH |
1474 | |
1475 | (pass-if "n = 1" | |
21e39e8f | 1476 | (< fixnum-min 1)) |
de142bea DH |
1477 | |
1478 | (pass-if "n = 1.0" | |
21e39e8f | 1479 | (< fixnum-min 1.0)) |
de142bea DH |
1480 | |
1481 | (pass-if "n = -1" | |
21e39e8f | 1482 | (< fixnum-min -1)) |
de142bea DH |
1483 | |
1484 | (pass-if "n = -1.0" | |
21e39e8f | 1485 | (< fixnum-min -1.0)) |
de142bea | 1486 | |
21e39e8f DH |
1487 | (pass-if "n = fixnum-max" |
1488 | (< fixnum-min fixnum-max)) | |
1489 | ||
1490 | (pass-if "n = fixnum-max + 1" | |
1491 | (< fixnum-min (+ fixnum-max 1))) | |
de142bea | 1492 | |
21e39e8f DH |
1493 | (pass-if "n = fixnum-min" |
1494 | (not (< fixnum-min fixnum-min))) | |
de142bea | 1495 | |
21e39e8f DH |
1496 | (pass-if "n = fixnum-min - 1" |
1497 | (not (< fixnum-min (- fixnum-min 1))))) | |
1498 | ||
1499 | (with-test-prefix "(< (- fixnum-min 1) n)" | |
1500 | ||
1501 | (pass-if "n = 0" | |
1502 | (< (- fixnum-min 1) 0)) | |
1503 | ||
1504 | (pass-if "n = 0.0" | |
1505 | (< (- fixnum-min 1) 0.0)) | |
1506 | ||
1507 | (pass-if "n = 1" | |
1508 | (< (- fixnum-min 1) 1)) | |
1509 | ||
1510 | (pass-if "n = 1.0" | |
1511 | (< (- fixnum-min 1) 1.0)) | |
de142bea DH |
1512 | |
1513 | (pass-if "n = -1" | |
21e39e8f | 1514 | (< (- fixnum-min 1) -1)) |
de142bea DH |
1515 | |
1516 | (pass-if "n = -1.0" | |
21e39e8f DH |
1517 | (< (- fixnum-min 1) -1.0)) |
1518 | ||
1519 | (pass-if "n = fixnum-max" | |
1520 | (< (- fixnum-min 1) fixnum-max)) | |
1521 | ||
1522 | (pass-if "n = fixnum-max + 1" | |
1523 | (< (- fixnum-min 1) (+ fixnum-max 1))) | |
1524 | ||
1525 | (pass-if "n = fixnum-min" | |
1526 | (< (- fixnum-min 1) fixnum-min)) | |
1527 | ||
1528 | (pass-if "n = fixnum-min - 1" | |
2cfcaed5 KR |
1529 | (not (< (- fixnum-min 1) (- fixnum-min 1))))) |
1530 | ||
adda36ed KR |
1531 | (pass-if (< (ash 1 256) +inf.0)) |
1532 | (pass-if (not (< +inf.0 (ash 1 256)))) | |
1533 | (pass-if (not (< (ash 1 256) -inf.0))) | |
1534 | (pass-if (< -inf.0 (ash 1 256))) | |
1535 | ||
1536 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
1537 | ;; sure we've avoided that | |
1538 | (pass-if (< (1- (ash 1 1024)) +inf.0)) | |
1539 | (pass-if (< (ash 1 1024) +inf.0)) | |
1540 | (pass-if (< (1+ (ash 1 1024)) +inf.0)) | |
1541 | (pass-if (not (< +inf.0 (1- (ash 1 1024))))) | |
1542 | (pass-if (not (< +inf.0 (ash 1 1024)))) | |
1543 | (pass-if (not (< +inf.0 (1+ (ash 1 1024))))) | |
1544 | (pass-if (< -inf.0 (- (1- (ash 1 1024))))) | |
1545 | (pass-if (< -inf.0 (- (ash 1 1024)))) | |
1546 | (pass-if (< -inf.0 (- (1+ (ash 1 1024))))) | |
1547 | (pass-if (not (< (- (1- (ash 1 1024))) -inf.0))) | |
1548 | (pass-if (not (< (- (ash 1 1024)) -inf.0))) | |
1549 | (pass-if (not (< (- (1+ (ash 1 1024))) -inf.0))) | |
1550 | ||
2cfcaed5 KR |
1551 | (pass-if (not (< +nan.0 +nan.0))) |
1552 | (pass-if (not (< 0 +nan.0))) | |
1553 | (pass-if (not (< +nan.0 0))) | |
1554 | (pass-if (not (< 1 +nan.0))) | |
1555 | (pass-if (not (< +nan.0 1))) | |
1556 | (pass-if (not (< -1 +nan.0))) | |
1557 | (pass-if (not (< +nan.0 -1))) | |
1558 | ||
1559 | (pass-if (not (< (ash 1 256) +nan.0))) | |
1560 | (pass-if (not (< +nan.0 (ash 1 256)))) | |
1561 | (pass-if (not (< (- (ash 1 256)) +nan.0))) | |
1562 | (pass-if (not (< +nan.0 (- (ash 1 256))))) | |
1563 | ||
1564 | (pass-if (not (< (ash 1 8192) +nan.0))) | |
1565 | (pass-if (not (< +nan.0 (ash 1 8192)))) | |
1566 | (pass-if (not (< (- (ash 1 8192)) +nan.0))) | |
1567 | (pass-if (not (< +nan.0 (- (ash 1 8192))))) | |
1568 | ||
1569 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
1570 | ;; sure we've avoided that | |
1571 | (pass-if (not (< (ash 3 1023) +nan.0))) | |
1572 | (pass-if (not (< (1+ (ash 3 1023)) +nan.0))) | |
1573 | (pass-if (not (< (1- (ash 3 1023)) +nan.0))) | |
1574 | (pass-if (not (< +nan.0 (ash 3 1023)))) | |
1575 | (pass-if (not (< +nan.0 (1+ (ash 3 1023))))) | |
1576 | (pass-if (not (< +nan.0 (1- (ash 3 1023)))))) | |
f29b3454 DH |
1577 | |
1578 | ;;; | |
1579 | ;;; > | |
1580 | ;;; | |
1581 | ||
7c24e528 RB |
1582 | ;; currently not tested -- implementation is trivial |
1583 | ;; (> x y) is implemented as (< y x) | |
1584 | ;; FIXME: tests should probably be added in case we change implementation. | |
1585 | ||
f29b3454 DH |
1586 | ;;; |
1587 | ;;; <= | |
1588 | ;;; | |
1589 | ||
7c24e528 RB |
1590 | ;; currently not tested -- implementation is trivial |
1591 | ;; (<= x y) is implemented as (not (< y x)) | |
1592 | ;; FIXME: tests should probably be added in case we change implementation. | |
1593 | ||
f29b3454 DH |
1594 | ;;; |
1595 | ;;; >= | |
1596 | ;;; | |
1597 | ||
7c24e528 RB |
1598 | ;; currently not tested -- implementation is trivial |
1599 | ;; (>= x y) is implemented as (not (< x y)) | |
1600 | ;; FIXME: tests should probably be added in case we change implementation. | |
1601 | ||
f29b3454 DH |
1602 | ;;; |
1603 | ;;; zero? | |
1604 | ;;; | |
1605 | ||
7c24e528 RB |
1606 | (with-test-prefix "zero?" |
1607 | (expect-fail (documented? zero?)) | |
1608 | (pass-if (zero? 0)) | |
4d332f19 DH |
1609 | (pass-if (not (zero? 7))) |
1610 | (pass-if (not (zero? -7))) | |
1611 | (pass-if (not (zero? (+ 1 fixnum-max)))) | |
1612 | (pass-if (not (zero? (- 1 fixnum-min)))) | |
1613 | (pass-if (not (zero? 1.3))) | |
1614 | (pass-if (not (zero? 3.1+4.2i)))) | |
7c24e528 | 1615 | |
f29b3454 DH |
1616 | ;;; |
1617 | ;;; positive? | |
1618 | ;;; | |
1619 | ||
7c24e528 RB |
1620 | (with-test-prefix "positive?" |
1621 | (expect-fail (documented? positive?)) | |
1622 | (pass-if (positive? 1)) | |
1623 | (pass-if (positive? (+ fixnum-max 1))) | |
1624 | (pass-if (positive? 1.3)) | |
4d332f19 DH |
1625 | (pass-if (not (positive? 0))) |
1626 | (pass-if (not (positive? -1))) | |
1627 | (pass-if (not (positive? (- fixnum-min 1)))) | |
1628 | (pass-if (not (positive? -1.3)))) | |
7c24e528 | 1629 | |
f29b3454 DH |
1630 | ;;; |
1631 | ;;; negative? | |
1632 | ;;; | |
1633 | ||
7c24e528 RB |
1634 | (with-test-prefix "negative?" |
1635 | (expect-fail (documented? negative?)) | |
4d332f19 DH |
1636 | (pass-if (not (negative? 1))) |
1637 | (pass-if (not (negative? (+ fixnum-max 1)))) | |
1638 | (pass-if (not (negative? 1.3))) | |
1639 | (pass-if (not (negative? 0))) | |
7c24e528 RB |
1640 | (pass-if (negative? -1)) |
1641 | (pass-if (negative? (- fixnum-min 1))) | |
1642 | (pass-if (negative? -1.3))) | |
1643 | ||
f29b3454 DH |
1644 | ;;; |
1645 | ;;; max | |
1646 | ;;; | |
1647 | ||
adda36ed | 1648 | (with-test-prefix "max" |
501da403 KR |
1649 | (pass-if (= 456.0 (max 123.0 456.0))) |
1650 | (pass-if (= 456.0 (max 456.0 123.0))) | |
1651 | ||
adda36ed KR |
1652 | (let ((big*2 (* fixnum-max 2)) |
1653 | (big*3 (* fixnum-max 3)) | |
1654 | (big*4 (* fixnum-max 4)) | |
1655 | (big*5 (* fixnum-max 5))) | |
1656 | ||
1657 | (pass-if (= +inf.0 (max big*5 +inf.0))) | |
1658 | (pass-if (= +inf.0 (max +inf.0 big*5))) | |
1659 | (pass-if (= big*5 (max big*5 -inf.0))) | |
501da403 KR |
1660 | (pass-if (= big*5 (max -inf.0 big*5))) |
1661 | ||
1662 | (pass-if (nan? (max 123 +nan.0))) | |
1663 | (pass-if (nan? (max big*5 +nan.0))) | |
1664 | (pass-if (nan? (max 123.0 +nan.0))) | |
1665 | (pass-if (nan? (max +nan.0 123))) | |
1666 | (pass-if (nan? (max +nan.0 big*5))) | |
1667 | (pass-if (nan? (max +nan.0 123.0))) | |
1668 | (pass-if (nan? (max +nan.0 +nan.0)))) | |
adda36ed KR |
1669 | |
1670 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
1671 | ;; sure we've avoided that | |
1672 | (for-each (lambda (b) | |
1673 | (pass-if (list b +inf.0) | |
1674 | (= +inf.0 (max b +inf.0))) | |
1675 | (pass-if (list +inf.0 b) | |
1676 | (= +inf.0 (max b +inf.0))) | |
1677 | (pass-if (list b -inf.0) | |
1678 | (= b (max b -inf.0))) | |
1679 | (pass-if (list -inf.0 b) | |
1680 | (= b (max b -inf.0)))) | |
1681 | (list (1- (ash 1 1024)) | |
1682 | (ash 1 1024) | |
1683 | (1+ (ash 1 1024)) | |
1684 | (- (1- (ash 1 1024))) | |
1685 | (- (ash 1 1024)) | |
501da403 KR |
1686 | (- (1+ (ash 1 1024))))) |
1687 | ||
1688 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
1689 | ;; sure we've avoided that | |
1690 | (pass-if (nan? (max (ash 1 2048) +nan.0))) | |
1691 | (pass-if (nan? (max +nan.0 (ash 1 2048))))) | |
adda36ed | 1692 | |
f29b3454 DH |
1693 | ;;; |
1694 | ;;; min | |
1695 | ;;; | |
1696 | ||
7c24e528 RB |
1697 | ;; FIXME: unfinished... |
1698 | ||
1699 | (with-test-prefix "min" | |
501da403 KR |
1700 | (pass-if (= 123.0 (min 123.0 456.0))) |
1701 | (pass-if (= 123.0 (min 456.0 123.0))) | |
1702 | ||
7c24e528 RB |
1703 | (let ((big*2 (* fixnum-max 2)) |
1704 | (big*3 (* fixnum-max 3)) | |
1705 | (big*4 (* fixnum-max 4)) | |
1706 | (big*5 (* fixnum-max 5))) | |
1707 | ||
1708 | (expect-fail (documented? max)) | |
1709 | (pass-if (= 1 (min 7 3 1 5))) | |
1710 | (pass-if (= 1 (min 1 7 3 5))) | |
1711 | (pass-if (= 1 (min 7 3 5 1))) | |
1712 | (pass-if (= -7 (min 2 3 4 -2 5 -7 1 -1 4 2))) | |
1713 | (pass-if (= -7 (min -7 2 3 4 -2 5 1 -1 4 2))) | |
1714 | (pass-if (= -7 (min 2 3 4 -2 5 1 -1 4 2 -7))) | |
1715 | (pass-if (= big*2 (min big*3 big*5 big*2 big*4))) | |
1716 | (pass-if (= big*2 (min big*2 big*3 big*5 big*4))) | |
1717 | (pass-if (= big*2 (min big*3 big*5 big*4 big*2))) | |
1718 | (pass-if | |
1719 | (= (- fixnum-min 1) (min 2 4 (- fixnum-min 1) 3 (* 2 fixnum-max)))) | |
1720 | (pass-if | |
1721 | (= (- fixnum-min 1) (min (- fixnum-min 1) 2 4 3 (* 2 fixnum-max)))) | |
1722 | (pass-if | |
adda36ed | 1723 | (= (- fixnum-min 1) (min 2 4 3 (* 2 fixnum-max) (- fixnum-min 1)))) |
7c24e528 | 1724 | |
adda36ed KR |
1725 | (pass-if (= big*5 (min big*5 +inf.0))) |
1726 | (pass-if (= big*5 (min +inf.0 big*5))) | |
1727 | (pass-if (= -inf.0 (min big*5 -inf.0))) | |
501da403 KR |
1728 | (pass-if (= -inf.0 (min -inf.0 big*5))) |
1729 | ||
1730 | (pass-if (nan? (min 123 +nan.0))) | |
1731 | (pass-if (nan? (min big*5 +nan.0))) | |
1732 | (pass-if (nan? (min 123.0 +nan.0))) | |
1733 | (pass-if (nan? (min +nan.0 123))) | |
1734 | (pass-if (nan? (min +nan.0 big*5))) | |
1735 | (pass-if (nan? (min +nan.0 123.0))) | |
1736 | (pass-if (nan? (min +nan.0 +nan.0)))) | |
adda36ed KR |
1737 | |
1738 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
1739 | ;; sure we've avoided that | |
1740 | (for-each (lambda (b) | |
1741 | (pass-if (list b +inf.0) | |
1742 | (= b (min b +inf.0))) | |
1743 | (pass-if (list +inf.0 b) | |
1744 | (= b (min b +inf.0))) | |
1745 | (pass-if (list b -inf.0) | |
1746 | (= -inf.0 (min b -inf.0))) | |
1747 | (pass-if (list -inf.0 b) | |
1748 | (= -inf.0 (min b -inf.0)))) | |
1749 | (list (1- (ash 1 1024)) | |
1750 | (ash 1 1024) | |
1751 | (1+ (ash 1 1024)) | |
1752 | (- (1- (ash 1 1024))) | |
1753 | (- (ash 1 1024)) | |
501da403 KR |
1754 | (- (1+ (ash 1 1024))))) |
1755 | ||
1756 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
1757 | ;; sure we've avoided that | |
1758 | (pass-if (nan? (min (- (ash 1 2048)) (- +nan.0)))) | |
1759 | (pass-if (nan? (min (- +nan.0) (- (ash 1 2048)))))) | |
adda36ed | 1760 | |
f29b3454 DH |
1761 | ;;; |
1762 | ;;; + | |
1763 | ;;; | |
1764 | ||
1765 | (with-test-prefix "+" | |
1766 | ||
1767 | (expect-fail "documented?" | |
1768 | (documented? +)) | |
1769 | ||
1770 | (with-test-prefix "wrong type argument" | |
1771 | ||
1772 | (pass-if-exception "1st argument string" | |
1773 | exception:wrong-type-arg | |
1774 | (+ "1" 2)) | |
1775 | ||
1776 | (pass-if-exception "2nd argument bool" | |
1777 | exception:wrong-type-arg | |
1778 | (+ 1 #f)))) | |
1779 | ;;; | |
1780 | ;;; - | |
1781 | ;;; | |
1782 | ||
072e6de2 KR |
1783 | (with-test-prefix "-" |
1784 | ||
1785 | (pass-if "-inum - +bignum" | |
1786 | (= #x-100000000000000000000000000000001 | |
ef016629 KR |
1787 | (- -1 #x100000000000000000000000000000000))) |
1788 | ||
1789 | (pass-if "big - inum" | |
1790 | (= #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | |
1791 | (- #x100000000000000000000000000000000 1))) | |
1792 | ||
1793 | (pass-if "big - -inum" | |
1794 | (= #x100000000000000000000000000000001 | |
1795 | (- #x100000000000000000000000000000000 -1)))) | |
072e6de2 | 1796 | |
f29b3454 DH |
1797 | ;;; |
1798 | ;;; * | |
1799 | ;;; | |
1800 | ||
65ea251e KR |
1801 | (with-test-prefix "*" |
1802 | ||
1803 | (pass-if "complex * bignum" | |
1804 | (let ((big (ash 1 90))) | |
1805 | (= (make-rectangular big big) | |
1806 | (* 1+1i big))))) | |
1807 | ||
f29b3454 DH |
1808 | ;;; |
1809 | ;;; / | |
1810 | ;;; | |
1811 | ||
1b3a7932 DH |
1812 | (with-test-prefix "/" |
1813 | ||
1814 | (expect-fail "documented?" | |
1815 | (documented? /)) | |
1816 | ||
1817 | (with-test-prefix "division by zero" | |
1818 | ||
1819 | (pass-if-exception "(/ 0)" | |
1820 | exception:numerical-overflow | |
1821 | (/ 0)) | |
1822 | ||
cdf52e3d MV |
1823 | (pass-if "(/ 0.0)" |
1824 | (= +inf.0 (/ 0.0))) | |
80074d77 | 1825 | |
1b3a7932 DH |
1826 | (pass-if-exception "(/ 1 0)" |
1827 | exception:numerical-overflow | |
80074d77 DH |
1828 | (/ 1 0)) |
1829 | ||
cdf52e3d MV |
1830 | (pass-if "(/ 1 0.0)" |
1831 | (= +inf.0 (/ 1 0.0))) | |
80074d77 DH |
1832 | |
1833 | (pass-if-exception "(/ bignum 0)" | |
1834 | exception:numerical-overflow | |
1835 | (/ (+ fixnum-max 1) 0)) | |
1836 | ||
cdf52e3d MV |
1837 | (pass-if "(/ bignum 0.0)" |
1838 | (= +inf.0 (/ (+ fixnum-max 1) 0.0))) | |
80074d77 DH |
1839 | |
1840 | (pass-if-exception "(/ 1.0 0)" | |
1841 | exception:numerical-overflow | |
1842 | (/ 1.0 0)) | |
1843 | ||
cdf52e3d MV |
1844 | (pass-if "(/ 1.0 0.0)" |
1845 | (= +inf.0 (/ 1.0 0.0))) | |
80074d77 DH |
1846 | |
1847 | (pass-if-exception "(/ +i 0)" | |
1848 | exception:numerical-overflow | |
1849 | (/ +i 0)) | |
1850 | ||
cdf52e3d MV |
1851 | (pass-if "(/ +i 0.0)" |
1852 | (= +inf.0 (imag-part (/ +i 0.0))))) | |
469b963c MV |
1853 | |
1854 | (with-test-prefix "complex division" | |
1855 | ||
1856 | (pass-if "(/ 3+4i)" | |
1857 | (= (/ 3+4i) 0.12-0.16i)) | |
1858 | ||
1859 | (pass-if "(/ 4+3i)" | |
1860 | (= (/ 4+3i) 0.16-0.12i)) | |
1861 | ||
1862 | (pass-if "(/ 25+125i 3+4i)" | |
1863 | (= (/ 25+125i 3+4i) 23.0+11.0i)) | |
1864 | ||
1865 | (pass-if "(/ 25+125i 4+3i)" | |
1866 | (= (/ 25+125i 4+3i) 19.0+17.0i)) | |
1867 | ||
1868 | (pass-if "(/ 25 3+4i)" | |
1869 | (= (/ 25 3+4i) 3.0-4.0i)) | |
1870 | ||
1871 | (pass-if "(/ 25 4+3i)" | |
1872 | (= (/ 25 4+3i) 4.0-3.0i)) | |
1873 | ||
1874 | (pass-if "(/ 1e200+1e200i)" | |
1875 | (= (/ 1e200+1e200i) 5.0e-201-5.0e-201i)))) | |
1b3a7932 | 1876 | |
f29b3454 DH |
1877 | ;;; |
1878 | ;;; truncate | |
1879 | ;;; | |
1880 | ||
14a6784c KR |
1881 | (with-test-prefix "truncate" |
1882 | (pass-if (= 1 (truncate 1.75))) | |
1883 | (pass-if (= 1 (truncate 1.5))) | |
1884 | (pass-if (= 1 (truncate 1.25))) | |
1885 | (pass-if (= 0 (truncate 0.75))) | |
1886 | (pass-if (= 0 (truncate 0.5))) | |
1887 | (pass-if (= 0 (truncate 0.0))) | |
1888 | (pass-if (= 0 (truncate -0.5))) | |
1889 | (pass-if (= -1 (truncate -1.25))) | |
1890 | (pass-if (= -1 (truncate -1.5)))) | |
1891 | ||
f29b3454 DH |
1892 | ;;; |
1893 | ;;; round | |
1894 | ;;; | |
1895 | ||
14a6784c KR |
1896 | (with-test-prefix "round" |
1897 | (pass-if (= 2 (round 1.75))) | |
1898 | (pass-if (= 2 (round 1.5))) | |
1899 | (pass-if (= 1 (round 1.25))) | |
1900 | (pass-if (= 1 (round 0.75))) | |
1901 | (pass-if (= 0 (round 0.5))) | |
1902 | (pass-if (= 0 (round 0.0))) | |
1903 | (pass-if (= 0 (round -0.5))) | |
1904 | (pass-if (= -1 (round -1.25))) | |
1905 | (pass-if (= -2 (round -1.5)))) | |
1906 | ||
f29b3454 DH |
1907 | ;;; |
1908 | ;;; exact->inexact | |
1909 | ;;; | |
1910 | ||
1911 | ;;; | |
1912 | ;;; floor | |
1913 | ;;; | |
1914 | ||
1915 | ;;; | |
1916 | ;;; ceiling | |
1917 | ;;; | |
1918 | ||
46f2c0f1 RB |
1919 | ;;; |
1920 | ;;; expt | |
1921 | ;;; | |
1922 | ||
1923 | (with-test-prefix "expt" | |
1924 | (pass-if "(= 1 (expt 0 0))" (= 1 (expt 0 0))) | |
1925 | (pass-if "(= 1 (expt 0 0.0))" (= 1 (expt 0 0.0))) | |
1926 | (pass-if "(= 1 (expt 0.0 0))" (= 1 (expt 0.0 0))) | |
1927 | (pass-if "(= 1 (expt 0.0 0.0))" (= 1 (expt 0.0 0.0)))) | |
1928 | ||
14a6784c KR |
1929 | ;;; |
1930 | ;;; asinh | |
1931 | ;;; | |
1932 | ||
1933 | (with-test-prefix "asinh" | |
1934 | (pass-if (= 0 (asinh 0)))) | |
1935 | ||
1936 | ;;; | |
1937 | ;;; acosh | |
1938 | ;;; | |
1939 | ||
1940 | (with-test-prefix "acosh" | |
1941 | (pass-if (= 0 (acosh 1)))) | |
1942 | ||
1943 | ;;; | |
1944 | ;;; atanh | |
1945 | ;;; | |
1946 | ||
1947 | (with-test-prefix "atanh" | |
1948 | (pass-if (= 0 (atanh 0)))) | |
1949 | ||
f29b3454 DH |
1950 | ;;; |
1951 | ;;; make-rectangular | |
1952 | ;;; | |
1953 | ||
1954 | ;;; | |
1955 | ;;; make-polar | |
1956 | ;;; | |
1957 | ||
d40681ec KR |
1958 | (with-test-prefix "make-polar" |
1959 | (define pi 3.14159265358979323846) | |
1960 | (define (almost= x y) | |
1961 | (> 0.01 (magnitude (- x y)))) | |
1962 | ||
1963 | (pass-if (= 0 (make-polar 0 0))) | |
1964 | (pass-if (= 0 (make-polar 0 123.456))) | |
1965 | (pass-if (= 1 (make-polar 1 0))) | |
1966 | (pass-if (= -1 (make-polar -1 0))) | |
1967 | ||
1968 | (pass-if (almost= 0+i (make-polar 1 (* 0.5 pi)))) | |
1969 | (pass-if (almost= -1 (make-polar 1 (* 1.0 pi)))) | |
1970 | (pass-if (almost= 0-i (make-polar 1 (* 1.5 pi)))) | |
1971 | (pass-if (almost= 1 (make-polar 1 (* 2.0 pi))))) | |
1972 | ||
f29b3454 DH |
1973 | ;;; |
1974 | ;;; real-part | |
1975 | ;;; | |
1976 | ||
1977 | ;;; | |
1978 | ;;; imag-part | |
1979 | ;;; | |
1980 | ||
1981 | ;;; | |
1982 | ;;; magnitude | |
1983 | ;;; | |
1984 | ||
d40681ec KR |
1985 | (with-test-prefix "magnitude" |
1986 | (pass-if (= 0 (magnitude 0))) | |
1987 | (pass-if (= 1 (magnitude 1))) | |
1988 | (pass-if (= 1 (magnitude -1))) | |
1989 | (pass-if (= 1 (magnitude 0+i))) | |
1990 | (pass-if (= 1 (magnitude 0-i))) | |
1991 | (pass-if (= 5 (magnitude 3+4i))) | |
1992 | (pass-if (= 5 (magnitude 3-4i))) | |
1993 | (pass-if (= 5 (magnitude -3+4i))) | |
1994 | (pass-if (= 5 (magnitude -3-4i)))) | |
1995 | ||
f29b3454 DH |
1996 | ;;; |
1997 | ;;; angle | |
1998 | ;;; | |
1999 | ||
cfc9fc1c KR |
2000 | (with-test-prefix "angle" |
2001 | (define pi 3.14159265358979323846) | |
2002 | (define (almost= x y) | |
2003 | (> 0.01 (magnitude (- x y)))) | |
2004 | ||
2005 | (pass-if "inum +ve" (= 0 (angle 1))) | |
2006 | (pass-if "inum -ve" (almost= pi (angle -1))) | |
2007 | ||
2008 | (pass-if "bignum +ve" (= 0 (angle (1+ fixnum-max)))) | |
2009 | (pass-if "bignum -ve" (almost= pi (angle (1- fixnum-min)))) | |
2010 | ||
2011 | (pass-if "flonum +ve" (= 0 (angle 1.5))) | |
2012 | (pass-if "flonum -ve" (almost= pi (angle -1.5)))) | |
2013 | ||
f29b3454 DH |
2014 | ;;; |
2015 | ;;; inexact->exact | |
2016 | ;;; | |
300c6a76 | 2017 | |
a04a3604 KR |
2018 | ;;; |
2019 | ;;; integer-length | |
2020 | ;;; | |
2021 | ||
2022 | (with-test-prefix "integer-length" | |
2023 | ||
2024 | (with-test-prefix "-2^i, ...11100..00" | |
2025 | (do ((n -1 (ash n 1)) | |
2026 | (i 0 (1+ i))) | |
2027 | ((> i 256)) | |
2028 | (pass-if (list n "expect" i) | |
2029 | (= i (integer-length n))))) | |
2030 | ||
2031 | (with-test-prefix "-2^i+1 ...11100..01" | |
2032 | (do ((n -3 (logxor 3 (ash n 1))) | |
2033 | (i 2 (1+ i))) | |
2034 | ((> i 256)) | |
2035 | (pass-if n | |
2036 | (= i (integer-length n))))) | |
2037 | ||
2038 | (with-test-prefix "-2^i-1 ...111011..11" | |
2039 | (do ((n -2 (1+ (ash n 1))) | |
2040 | (i 1 (1+ i))) | |
2041 | ((> i 256)) | |
2042 | (pass-if n | |
2043 | (= i (integer-length n)))))) | |
2044 | ||
300c6a76 KR |
2045 | ;;; |
2046 | ;;; logcount | |
2047 | ;;; | |
2048 | ||
2049 | (with-test-prefix "logcount" | |
2050 | ||
2051 | (with-test-prefix "-2^i, meaning ...11100..00" | |
2052 | (do ((n -1 (ash n 1)) | |
2053 | (i 0 (1+ i))) | |
2054 | ((> i 256)) | |
795c0bae KR |
2055 | (pass-if n |
2056 | (= i (logcount n))))) | |
2057 | ||
2058 | (with-test-prefix "2^i" | |
2059 | (do ((n 1 (ash n 1)) | |
2060 | (i 0 (1+ i))) | |
2061 | ((> i 256)) | |
2062 | (pass-if n | |
2063 | (= 1 (logcount n))))) | |
2064 | ||
2065 | (with-test-prefix "2^i-1" | |
2066 | (do ((n 0 (1+ (ash n 1))) | |
2067 | (i 0 (1+ i))) | |
2068 | ((> i 256)) | |
300c6a76 KR |
2069 | (pass-if n |
2070 | (= i (logcount n)))))) | |
795c0bae | 2071 |