HCoop / bpt / guile.git / blame
| Commit | Line | Data |
|---|---|---|
| de142bea | 1 | ;;;; numbers.test --- tests guile's numbers -*- scheme -*- |
| 8e43ed5d | 2 | ;;;; Copyright (C) 2000, 2001, 2003, 2004, 2005, 2006, 2009, 2010, 2011 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 | |
| 53befeb7 | 7 | ;;;; version 3 of the License, or (at your option) any later version. |
| 73be1d9e MV |
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 | |
| 92205699 | 16 | ;;;; Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 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) | |
| 49579cbd KR |
66 | |
| 67 | ;; `quotient' but rounded towards -infinity, like `modulo' or `ash' do | |
| 68 | ;; note only positive D supported (that's all that's currently required) | |
| 69 | (define-public (quotient-floor n d) | |
| 70 | (if (negative? n) | |
| 71 | (quotient (- n d -1) d) ;; neg/pos | |
| 72 | (quotient n d))) ;; pos/pos | |
| 73 | ||
| 8ab3d8a0 KR |
74 | ;; return true of X is in the range LO to HI, inclusive |
| 75 | (define (within-range? lo hi x) | |
| 76 | (and (>= x (min lo hi)) | |
| 77 | (<= x (max lo hi)))) | |
| 78 | ||
| 79 | ;; return true if GOT is within +/- 0.01 of GOT | |
| 80 | ;; for a complex number both real and imaginary parts must be in that range | |
| 81 | (define (eqv-loosely? want got) | |
| 82 | (and (within-range? (- (real-part want) 0.01) | |
| 83 | (+ (real-part want) 0.01) | |
| 84 | (real-part got)) | |
| 85 | (within-range? (- (imag-part want) 0.01) | |
| 86 | (+ (imag-part want) 0.01) | |
| 87 | (imag-part got)))) | |
| 88 | ||
| 89 | ;; return true if OBJ is negative infinity | |
| 90 | (define (negative-infinity? obj) | |
| 91 | (and (real? obj) | |
| 92 | (negative? obj) | |
| 93 | (inf? obj))) | |
| 94 | ||
| 95 | (define const-e 2.7182818284590452354) | |
| 96 | (define const-e^2 7.3890560989306502274) | |
| 97 | (define const-1/e 0.3678794411714423215) | |
| 98 | ||
| 99 | ||
| a580ebba KR |
100 | ;;; |
| 101 | ;;; 1+ | |
| 102 | ;;; | |
| 103 | ||
| f13f1e9f | 104 | (with-test-prefix/c&e "1+" |
| a580ebba KR |
105 | |
| 106 | (pass-if "documented?" | |
| 107 | (documented? 1+)) | |
| 108 | ||
| f13f1e9f LC |
109 | (pass-if "0" (eqv? 1 (1+ 0))) |
| 110 | (pass-if "-1" (eqv? 0 (1+ -1))) | |
| 111 | (pass-if "100" (eqv? 101 (1+ 100))) | |
| 112 | (pass-if "-100" (eqv? -99 (1+ -100))) | |
| e78d4bf9 LC |
113 | |
| 114 | ;; The maximum fixnum on a 32-bit architecture: 2^29 - 1. | |
| f13f1e9f LC |
115 | (pass-if "1+ fixnum = bignum (32-bit)" |
| 116 | (eqv? 536870912 (1+ 536870911))) | |
| e78d4bf9 LC |
117 | |
| 118 | ;; The maximum fixnum on a 64-bit architecture: 2^61 - 1. | |
| f13f1e9f LC |
119 | (pass-if "1+ fixnum = bignum (64-bit)" |
| 120 | (eqv? 2305843009213693952 (1+ 2305843009213693951)))) | |
| a580ebba KR |
121 | |
| 122 | ;;; | |
| 123 | ;;; 1- | |
| 124 | ;;; | |
| 125 | ||
| f13f1e9f | 126 | (with-test-prefix/c&e "1-" |
| a580ebba KR |
127 | |
| 128 | (pass-if "documented?" | |
| 129 | (documented? 1-)) | |
| 130 | ||
| f13f1e9f LC |
131 | (pass-if "0" (eqv? -1 (1- 0))) |
| 132 | (pass-if "1" (eqv? 0 (1- 1))) | |
| 133 | (pass-if "100" (eqv? 99 (1- 100))) | |
| 134 | (pass-if "-100" (eqv? -101 (1- -100))) | |
| e78d4bf9 LC |
135 | |
| 136 | ;; The minimum fixnum on a 32-bit architecture: -2^29. | |
| f13f1e9f LC |
137 | (pass-if "1- fixnum = bignum (32-bit)" |
| 138 | (eqv? -536870913 (1- -536870912))) | |
| e78d4bf9 LC |
139 | |
| 140 | ;; The minimum fixnum on a 64-bit architecture: -2^61. | |
| f13f1e9f LC |
141 | (pass-if "1- fixnum = bignum (64-bit)" |
| 142 | (eqv? -2305843009213693953 (1- -2305843009213693952)))) | |
| a580ebba | 143 | |
| 49579cbd KR |
144 | ;;; |
| 145 | ;;; ash | |
| 146 | ;;; | |
| 147 | ||
| 148 | (with-test-prefix "ash" | |
| 149 | ||
| 150 | (pass-if "documented?" | |
| 151 | (documented? ash)) | |
| 152 | ||
| 153 | (pass-if (eqv? 0 (ash 0 0))) | |
| 154 | (pass-if (eqv? 0 (ash 0 1))) | |
| 155 | (pass-if (eqv? 0 (ash 0 1000))) | |
| 156 | (pass-if (eqv? 0 (ash 0 -1))) | |
| 157 | (pass-if (eqv? 0 (ash 0 -1000))) | |
| 158 | ||
| 159 | (pass-if (eqv? 1 (ash 1 0))) | |
| 160 | (pass-if (eqv? 2 (ash 1 1))) | |
| 161 | (pass-if (eqv? 340282366920938463463374607431768211456 (ash 1 128))) | |
| 162 | (pass-if (eqv? 0 (ash 1 -1))) | |
| 163 | (pass-if (eqv? 0 (ash 1 -1000))) | |
| 164 | ||
| 165 | (pass-if (eqv? -1 (ash -1 0))) | |
| 166 | (pass-if (eqv? -2 (ash -1 1))) | |
| 167 | (pass-if (eqv? -340282366920938463463374607431768211456 (ash -1 128))) | |
| 168 | (pass-if (eqv? -1 (ash -1 -1))) | |
| 169 | (pass-if (eqv? -1 (ash -1 -1000))) | |
| 170 | ||
| 171 | (pass-if (eqv? -3 (ash -3 0))) | |
| 172 | (pass-if (eqv? -6 (ash -3 1))) | |
| 173 | (pass-if (eqv? -1020847100762815390390123822295304634368 (ash -3 128))) | |
| 174 | (pass-if (eqv? -2 (ash -3 -1))) | |
| 175 | (pass-if (eqv? -1 (ash -3 -1000))) | |
| 176 | ||
| 177 | (pass-if (eqv? -6 (ash -23 -2))) | |
| 178 | ||
| 179 | (pass-if (eqv? most-positive-fixnum (ash most-positive-fixnum 0))) | |
| 180 | (pass-if (eqv? (* 2 most-positive-fixnum) (ash most-positive-fixnum 1))) | |
| 181 | (pass-if (eqv? (* 4 most-positive-fixnum) (ash most-positive-fixnum 2))) | |
| 182 | (pass-if | |
| 183 | (eqv? (* most-positive-fixnum 340282366920938463463374607431768211456) | |
| 184 | (ash most-positive-fixnum 128))) | |
| 185 | (pass-if (eqv? (quotient most-positive-fixnum 2) | |
| 186 | (ash most-positive-fixnum -1))) | |
| 187 | (pass-if (eqv? 0 (ash most-positive-fixnum -1000))) | |
| 188 | ||
| 189 | (let ((mpf4 (quotient most-positive-fixnum 4))) | |
| 190 | (pass-if (eqv? (* 2 mpf4) (ash mpf4 1))) | |
| 191 | (pass-if (eqv? (* 4 mpf4) (ash mpf4 2))) | |
| 192 | (pass-if (eqv? (* 8 mpf4) (ash mpf4 3)))) | |
| 193 | ||
| 194 | (pass-if (eqv? most-negative-fixnum (ash most-negative-fixnum 0))) | |
| 195 | (pass-if (eqv? (* 2 most-negative-fixnum) (ash most-negative-fixnum 1))) | |
| 196 | (pass-if (eqv? (* 4 most-negative-fixnum) (ash most-negative-fixnum 2))) | |
| 197 | (pass-if | |
| 198 | (eqv? (* most-negative-fixnum 340282366920938463463374607431768211456) | |
| 199 | (ash most-negative-fixnum 128))) | |
| 200 | (pass-if (eqv? (quotient-floor most-negative-fixnum 2) | |
| 201 | (ash most-negative-fixnum -1))) | |
| 202 | (pass-if (eqv? -1 (ash most-negative-fixnum -1000))) | |
| 203 | ||
| 204 | (let ((mnf4 (quotient-floor most-negative-fixnum 4))) | |
| 205 | (pass-if (eqv? (* 2 mnf4) (ash mnf4 1))) | |
| 206 | (pass-if (eqv? (* 4 mnf4) (ash mnf4 2))) | |
| 207 | (pass-if (eqv? (* 8 mnf4) (ash mnf4 3))))) | |
| a1fb3b1c | 208 | |
| de142bea DH |
209 | ;;; |
| 210 | ;;; exact? | |
| 211 | ;;; | |
| 212 | ||
| 213 | (with-test-prefix "exact?" | |
| 214 | ||
| de142bea | 215 | (pass-if "documented?" |
| cb18f2a8 | 216 | (documented? exact?)) |
| de142bea | 217 | |
| 21e39e8f | 218 | (with-test-prefix "integers" |
| de142bea | 219 | |
| 21e39e8f DH |
220 | (pass-if "0" |
| 221 | (exact? 0)) | |
| de142bea | 222 | |
| 21e39e8f DH |
223 | (pass-if "fixnum-max" |
| 224 | (exact? fixnum-max)) | |
| de142bea | 225 | |
| 21e39e8f DH |
226 | (pass-if "fixnum-max + 1" |
| 227 | (exact? (+ fixnum-max 1))) | |
| de142bea | 228 | |
| 21e39e8f DH |
229 | (pass-if "fixnum-min" |
| 230 | (exact? fixnum-min)) | |
| de142bea | 231 | |
| 21e39e8f DH |
232 | (pass-if "fixnum-min - 1" |
| 233 | (exact? (- fixnum-min 1)))) | |
| 234 | ||
| 235 | (with-test-prefix "reals" | |
| 236 | ||
| 237 | ;; (FIXME: need better examples.) | |
| 238 | ||
| 239 | (pass-if "sqrt (fixnum-max^2 - 1)" | |
| 240 | (eq? #f (exact? (sqrt (- (expt fixnum-max 2) 1))))) | |
| 241 | ||
| 242 | (pass-if "sqrt ((fixnum-max+1)^2 - 1)" | |
| 243 | (eq? #f (exact? (sqrt (- (expt (+ fixnum-max 1) 2) 1))))))) | |
| de142bea | 244 | |
| 8ab3d8a0 KR |
245 | ;;; |
| 246 | ;;; exp | |
| 247 | ;;; | |
| 248 | ||
| 249 | (with-test-prefix "exp" | |
| 250 | (pass-if "documented?" | |
| 251 | (documented? exp)) | |
| 252 | ||
| 253 | (pass-if-exception "no args" exception:wrong-num-args | |
| 254 | (exp)) | |
| 255 | (pass-if-exception "two args" exception:wrong-num-args | |
| 256 | (exp 123 456)) | |
| 257 | ||
| 258 | (pass-if (eqv? 0.0 (exp -inf.0))) | |
| 259 | (pass-if (eqv-loosely? 1.0 (exp 0))) | |
| 260 | (pass-if (eqv-loosely? 1.0 (exp 0.0))) | |
| 261 | (pass-if (eqv-loosely? const-e (exp 1.0))) | |
| 262 | (pass-if (eqv-loosely? const-e^2 (exp 2.0))) | |
| 263 | (pass-if (eqv-loosely? const-1/e (exp -1))) | |
| 264 | ||
| 265 | (pass-if "exp(pi*i) = -1" | |
| 266 | (eqv-loosely? -1.0 (exp 0+3.14159i))) | |
| 267 | (pass-if "exp(-pi*i) = -1" | |
| 268 | (eqv-loosely? -1.0 (exp 0-3.14159i))) | |
| 269 | (pass-if "exp(2*pi*i) = +1" | |
| 270 | (eqv-loosely? 1.0 (exp 0+6.28318i))) | |
| 271 | ||
| 272 | (pass-if "exp(2-pi*i) = -e^2" | |
| 273 | (eqv-loosely? (- const-e^2) (exp 2.0-3.14159i)))) | |
| 274 | ||
| de142bea DH |
275 | ;;; |
| 276 | ;;; odd? | |
| 277 | ;;; | |
| 278 | ||
| 7c24e528 RB |
279 | (with-test-prefix "odd?" |
| 280 | (pass-if (documented? odd?)) | |
| 281 | (pass-if (odd? 1)) | |
| 282 | (pass-if (odd? -1)) | |
| 4d332f19 DH |
283 | (pass-if (not (odd? 0))) |
| 284 | (pass-if (not (odd? 2))) | |
| 285 | (pass-if (not (odd? -2))) | |
| 7c24e528 | 286 | (pass-if (odd? (+ (* 2 fixnum-max) 1))) |
| 4d332f19 | 287 | (pass-if (not (odd? (* 2 fixnum-max)))) |
| 7c24e528 | 288 | (pass-if (odd? (- (* 2 fixnum-min) 1))) |
| 4d332f19 | 289 | (pass-if (not (odd? (* 2 fixnum-min))))) |
| de142bea DH |
290 | |
| 291 | ;;; | |
| 292 | ;;; even? | |
| 293 | ;;; | |
| 294 | ||
| 7c24e528 RB |
295 | (with-test-prefix "even?" |
| 296 | (pass-if (documented? even?)) | |
| 297 | (pass-if (even? 2)) | |
| 298 | (pass-if (even? -2)) | |
| 299 | (pass-if (even? 0)) | |
| 4d332f19 DH |
300 | (pass-if (not (even? 1))) |
| 301 | (pass-if (not (even? -1))) | |
| 302 | (pass-if (not (even? (+ (* 2 fixnum-max) 1)))) | |
| 7c24e528 | 303 | (pass-if (even? (* 2 fixnum-max))) |
| 4d332f19 | 304 | (pass-if (not (even? (- (* 2 fixnum-min) 1)))) |
| 7c24e528 | 305 | (pass-if (even? (* 2 fixnum-min)))) |
| de142bea | 306 | |
| 7112615f MW |
307 | ;;; |
| 308 | ;;; finite? | |
| 309 | ;;; | |
| 310 | ||
| 311 | (with-test-prefix "finite?" | |
| 312 | (pass-if (documented? finite?)) | |
| 313 | (pass-if (not (finite? (inf)))) | |
| 314 | (pass-if (not (finite? +inf.0))) | |
| 315 | (pass-if (not (finite? -inf.0))) | |
| 316 | (pass-if (not (finite? +inf.0+1i))) | |
| 317 | (pass-if (not (finite? -inf.0+1i))) | |
| 318 | (pass-if (not (finite? +1+inf.0i))) | |
| 319 | (pass-if (not (finite? +1-inf.0i))) | |
| 320 | (pass-if (not (finite? (nan)))) | |
| 321 | (pass-if (not (finite? +nan.0))) | |
| 322 | (pass-if (not (finite? 1+nan.0i))) | |
| 323 | (pass-if (not (finite? +nan.0+nan.0i))) | |
| 324 | (pass-if (finite? 0)) | |
| 325 | (pass-if (finite? 0.0)) | |
| 326 | (pass-if (finite? -0.0)) | |
| 327 | (pass-if (finite? 42.0)) | |
| 328 | (pass-if (finite? 1/2)) | |
| 329 | (pass-if (finite? 42.0+700i)) | |
| 330 | (pass-if (finite? (+ fixnum-max 1))) | |
| 331 | (pass-if (finite? (- fixnum-min 1)))) | |
| 332 | ||
| de142bea | 333 | ;;; |
| 7c24e528 RB |
334 | ;;; inf? and inf |
| 335 | ;;; | |
| 336 | ||
| 337 | (with-test-prefix "inf?" | |
| 338 | (pass-if (documented? inf?)) | |
| 339 | (pass-if (inf? (inf))) | |
| 340 | ;; FIXME: what are the expected behaviors? | |
| 341 | ;; (pass-if (inf? (/ 1.0 0.0)) | |
| 342 | ;; (pass-if (inf? (/ 1 0.0)) | |
| 4d332f19 DH |
343 | (pass-if (not (inf? 0))) |
| 344 | (pass-if (not (inf? 42.0))) | |
| 345 | (pass-if (not (inf? (+ fixnum-max 1)))) | |
| 346 | (pass-if (not (inf? (- fixnum-min 1))))) | |
| 7c24e528 RB |
347 | |
| 348 | ;;; | |
| 349 | ;;; nan? and nan | |
| de142bea DH |
350 | ;;; |
| 351 | ||
| 7c24e528 RB |
352 | (with-test-prefix "nan?" |
| 353 | (pass-if (documented? nan?)) | |
| 354 | (pass-if (nan? (nan))) | |
| 355 | ;; FIXME: other ways we should be able to generate NaN? | |
| 4d332f19 DH |
356 | (pass-if (not (nan? 0))) |
| 357 | (pass-if (not (nan? 42.0))) | |
| 358 | (pass-if (not (nan? (+ fixnum-max 1)))) | |
| 359 | (pass-if (not (nan? (- fixnum-min 1))))) | |
| de142bea | 360 | |
| 7c24e528 RB |
361 | ;;; |
| 362 | ;;; abs | |
| 363 | ;;; | |
| 364 | ||
| 365 | (with-test-prefix "abs" | |
| 366 | (pass-if (documented? abs)) | |
| 367 | (pass-if (zero? (abs 0))) | |
| 368 | (pass-if (= 1 (abs 1))) | |
| 369 | (pass-if (= 1 (abs -1))) | |
| 370 | (pass-if (= (+ fixnum-max 1) (abs (+ fixnum-max 1)))) | |
| 371 | (pass-if (= (+ (- fixnum-min) 1) (abs (- fixnum-min 1)))) | |
| 76903a31 KR |
372 | (pass-if (= 0.0 (abs 0.0))) |
| 373 | (pass-if (= 1.0 (abs 1.0))) | |
| 374 | (pass-if (= 1.0 (abs -1.0))) | |
| 375 | (pass-if (nan? (abs +nan.0))) | |
| 376 | (pass-if (= +inf.0 (abs +inf.0))) | |
| 377 | (pass-if (= +inf.0 (abs -inf.0)))) | |
| 378 | ||
| de142bea DH |
379 | ;;; |
| 380 | ;;; quotient | |
| 381 | ;;; | |
| 382 | ||
| 383 | (with-test-prefix "quotient" | |
| 384 | ||
| de142bea | 385 | (expect-fail "documented?" |
| cb18f2a8 | 386 | (documented? quotient)) |
| de142bea | 387 | |
| de142bea DH |
388 | (with-test-prefix "0 / n" |
| 389 | ||
| 390 | (pass-if "n = 1" | |
| 391 | (eqv? 0 (quotient 0 1))) | |
| 392 | ||
| 393 | (pass-if "n = -1" | |
| 394 | (eqv? 0 (quotient 0 -1))) | |
| 395 | ||
| 21e39e8f DH |
396 | (pass-if "n = 2" |
| 397 | (eqv? 0 (quotient 0 2))) | |
| 398 | ||
| 399 | (pass-if "n = fixnum-max" | |
| 400 | (eqv? 0 (quotient 0 fixnum-max))) | |
| 401 | ||
| 402 | (pass-if "n = fixnum-max + 1" | |
| 403 | (eqv? 0 (quotient 0 (+ fixnum-max 1)))) | |
| 404 | ||
| 405 | (pass-if "n = fixnum-min" | |
| 406 | (eqv? 0 (quotient 0 fixnum-min))) | |
| 407 | ||
| 408 | (pass-if "n = fixnum-min - 1" | |
| 409 | (eqv? 0 (quotient 0 (- fixnum-min 1))))) | |
| de142bea | 410 | |
| 21e39e8f | 411 | (with-test-prefix "1 / n" |
| de142bea DH |
412 | |
| 413 | (pass-if "n = 1" | |
| 414 | (eqv? 1 (quotient 1 1))) | |
| 415 | ||
| 416 | (pass-if "n = -1" | |
| 21e39e8f DH |
417 | (eqv? -1 (quotient 1 -1))) |
| 418 | ||
| 419 | (pass-if "n = 2" | |
| 420 | (eqv? 0 (quotient 1 2))) | |
| de142bea | 421 | |
| 21e39e8f DH |
422 | (pass-if "n = fixnum-max" |
| 423 | (eqv? 0 (quotient 1 fixnum-max))) | |
| de142bea | 424 | |
| 21e39e8f DH |
425 | (pass-if "n = fixnum-max + 1" |
| 426 | (eqv? 0 (quotient 1 (+ fixnum-max 1)))) | |
| de142bea | 427 | |
| 21e39e8f DH |
428 | (pass-if "n = fixnum-min" |
| 429 | (eqv? 0 (quotient 1 fixnum-min))) | |
| 430 | ||
| 431 | (pass-if "n = fixnum-min - 1" | |
| 432 | (eqv? 0 (quotient 1 (- fixnum-min 1))))) | |
| 433 | ||
| 434 | (with-test-prefix "-1 / n" | |
| de142bea DH |
435 | |
| 436 | (pass-if "n = 1" | |
| 21e39e8f | 437 | (eqv? -1 (quotient -1 1))) |
| de142bea DH |
438 | |
| 439 | (pass-if "n = -1" | |
| 440 | (eqv? 1 (quotient -1 -1))) | |
| 441 | ||
| 21e39e8f DH |
442 | (pass-if "n = 2" |
| 443 | (eqv? 0 (quotient -1 2))) | |
| 444 | ||
| 445 | (pass-if "n = fixnum-max" | |
| 446 | (eqv? 0 (quotient -1 fixnum-max))) | |
| 447 | ||
| 448 | (pass-if "n = fixnum-max + 1" | |
| 449 | (eqv? 0 (quotient -1 (+ fixnum-max 1)))) | |
| 450 | ||
| 451 | (pass-if "n = fixnum-min" | |
| 452 | (eqv? 0 (quotient -1 fixnum-min))) | |
| 453 | ||
| 454 | (pass-if "n = fixnum-min - 1" | |
| 455 | (eqv? 0 (quotient -1 (- fixnum-min 1))))) | |
| 456 | ||
| 457 | (with-test-prefix "fixnum-max / n" | |
| 458 | ||
| 459 | (pass-if "n = 1" | |
| 460 | (eqv? fixnum-max (quotient fixnum-max 1))) | |
| 461 | ||
| 462 | (pass-if "n = -1" | |
| 463 | (eqv? (- fixnum-max) (quotient fixnum-max -1))) | |
| 464 | ||
| 465 | (pass-if "n = 2" | |
| 466 | (eqv? fixnum-max (+ (* (quotient fixnum-max 2) 2) 1))) | |
| 467 | ||
| 468 | (pass-if "n = fixnum-max" | |
| 469 | (eqv? 1 (quotient fixnum-max fixnum-max))) | |
| 470 | ||
| 471 | (pass-if "n = fixnum-max + 1" | |
| 472 | (eqv? 0 (quotient fixnum-max (+ fixnum-max 1)))) | |
| 473 | ||
| 474 | (pass-if "n = fixnum-min" | |
| 475 | (eqv? 0 (quotient fixnum-max fixnum-min))) | |
| 476 | ||
| 477 | (pass-if "n = fixnum-min - 1" | |
| 478 | (eqv? 0 (quotient fixnum-max (- fixnum-min 1))))) | |
| 479 | ||
| 480 | (with-test-prefix "(fixnum-max + 1) / n" | |
| 481 | ||
| 482 | (pass-if "n = 1" | |
| 483 | (eqv? (+ fixnum-max 1) (quotient (+ fixnum-max 1) 1))) | |
| 484 | ||
| 485 | (pass-if "n = -1" | |
| 486 | (eqv? (- (+ fixnum-max 1)) (quotient (+ fixnum-max 1) -1))) | |
| 487 | ||
| 488 | (pass-if "n = 2" | |
| 489 | (eqv? (+ fixnum-max 1) (* (quotient (+ fixnum-max 1) 2) 2))) | |
| 490 | ||
| 491 | (pass-if "n = fixnum-max" | |
| 492 | (eqv? 1 (quotient (+ fixnum-max 1) fixnum-max))) | |
| 493 | ||
| 494 | (pass-if "n = fixnum-max + 1" | |
| 495 | (eqv? 1 (quotient (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| 496 | ||
| 497 | (pass-if "n = fixnum-min" | |
| 498 | (eqv? -1 (quotient (+ fixnum-max 1) fixnum-min))) | |
| 499 | ||
| 500 | (pass-if "n = fixnum-min - 1" | |
| 501 | (eqv? 0 (quotient (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 502 | ||
| 503 | (with-test-prefix "fixnum-min / n" | |
| 504 | ||
| 505 | (pass-if "n = 1" | |
| 506 | (eqv? fixnum-min (quotient fixnum-min 1))) | |
| 507 | ||
| 508 | (pass-if "n = -1" | |
| 509 | (eqv? (- fixnum-min) (quotient fixnum-min -1))) | |
| 510 | ||
| 511 | (pass-if "n = 2" | |
| 512 | (eqv? fixnum-min (* (quotient fixnum-min 2) 2))) | |
| 513 | ||
| 514 | (pass-if "n = fixnum-max" | |
| 515 | (eqv? -1 (quotient fixnum-min fixnum-max))) | |
| 516 | ||
| 517 | (pass-if "n = fixnum-max + 1" | |
| 518 | (eqv? -1 (quotient fixnum-min (+ fixnum-max 1)))) | |
| 519 | ||
| 520 | (pass-if "n = fixnum-min" | |
| 521 | (eqv? 1 (quotient fixnum-min fixnum-min))) | |
| 522 | ||
| 523 | (pass-if "n = fixnum-min - 1" | |
| ad22fe7c KR |
524 | (eqv? 0 (quotient fixnum-min (- fixnum-min 1)))) |
| 525 | ||
| 526 | (pass-if "n = - fixnum-min - 1" | |
| 527 | (eqv? -1 (quotient fixnum-min (1- (- fixnum-min))))) | |
| 528 | ||
| 529 | ;; special case, normally inum/big is zero | |
| 530 | (pass-if "n = - fixnum-min" | |
| 531 | (eqv? -1 (quotient fixnum-min (- fixnum-min)))) | |
| 532 | ||
| 533 | (pass-if "n = - fixnum-min + 1" | |
| 534 | (eqv? 0 (quotient fixnum-min (1+ (- fixnum-min)))))) | |
| 21e39e8f DH |
535 | |
| 536 | (with-test-prefix "(fixnum-min - 1) / n" | |
| 537 | ||
| 538 | (pass-if "n = 1" | |
| 539 | (eqv? (- fixnum-min 1) (quotient (- fixnum-min 1) 1))) | |
| 540 | ||
| 541 | (pass-if "n = -1" | |
| 542 | (eqv? (- (- fixnum-min 1)) (quotient (- fixnum-min 1) -1))) | |
| 543 | ||
| 544 | (pass-if "n = 2" | |
| 545 | (eqv? fixnum-min (* (quotient (- fixnum-min 1) 2) 2))) | |
| 546 | ||
| 547 | (pass-if "n = fixnum-max" | |
| 548 | (eqv? -1 (quotient (- fixnum-min 1) fixnum-max))) | |
| 549 | ||
| 550 | (pass-if "n = fixnum-max + 1" | |
| 551 | (eqv? -1 (quotient (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 552 | ||
| 553 | (pass-if "n = fixnum-min" | |
| 554 | (eqv? 1 (quotient (- fixnum-min 1) fixnum-min))) | |
| 555 | ||
| 556 | (pass-if "n = fixnum-min - 1" | |
| 557 | (eqv? 1 (quotient (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea DH |
558 | |
| 559 | ;; Positive dividend and divisor | |
| 560 | ||
| 561 | (pass-if "35 / 7" | |
| 562 | (eqv? 5 (quotient 35 7))) | |
| 563 | ||
| 564 | ;; Negative dividend, positive divisor | |
| 565 | ||
| 566 | (pass-if "-35 / 7" | |
| 567 | (eqv? -5 (quotient -35 7))) | |
| 568 | ||
| 569 | ;; Positive dividend, negative divisor | |
| 570 | ||
| 571 | (pass-if "35 / -7" | |
| 572 | (eqv? -5 (quotient 35 -7))) | |
| 573 | ||
| 574 | ;; Negative dividend and divisor | |
| 575 | ||
| 576 | (pass-if "-35 / -7" | |
| 577 | (eqv? 5 (quotient -35 -7))) | |
| 578 | ||
| 579 | ;; Are numerical overflows detected correctly? | |
| 580 | ||
| 80074d77 DH |
581 | (with-test-prefix "division by zero" |
| 582 | ||
| 583 | (pass-if-exception "(quotient 1 0)" | |
| 584 | exception:numerical-overflow | |
| 585 | (quotient 1 0)) | |
| 586 | ||
| 587 | (pass-if-exception "(quotient bignum 0)" | |
| 588 | exception:numerical-overflow | |
| 589 | (quotient (+ fixnum-max 1) 0))) | |
| 590 | ||
| de142bea DH |
591 | ;; Are wrong type arguments detected correctly? |
| 592 | ||
| 593 | ) | |
| 594 | ||
| 595 | ;;; | |
| 596 | ;;; remainder | |
| 597 | ;;; | |
| 598 | ||
| 599 | (with-test-prefix "remainder" | |
| 600 | ||
| de142bea | 601 | (expect-fail "documented?" |
| cb18f2a8 | 602 | (documented? remainder)) |
| de142bea | 603 | |
| de142bea DH |
604 | (with-test-prefix "0 / n" |
| 605 | ||
| 606 | (pass-if "n = 1" | |
| 607 | (eqv? 0 (remainder 0 1))) | |
| 608 | ||
| 609 | (pass-if "n = -1" | |
| 610 | (eqv? 0 (remainder 0 -1))) | |
| 611 | ||
| 21e39e8f DH |
612 | (pass-if "n = fixnum-max" |
| 613 | (eqv? 0 (remainder 0 fixnum-max))) | |
| 614 | ||
| 615 | (pass-if "n = fixnum-max + 1" | |
| 616 | (eqv? 0 (remainder 0 (+ fixnum-max 1)))) | |
| 617 | ||
| 618 | (pass-if "n = fixnum-min" | |
| 619 | (eqv? 0 (remainder 0 fixnum-min))) | |
| de142bea | 620 | |
| 21e39e8f DH |
621 | (pass-if "n = fixnum-min - 1" |
| 622 | (eqv? 0 (remainder 0 (- fixnum-min 1))))) | |
| de142bea | 623 | |
| 21e39e8f | 624 | (with-test-prefix "1 / n" |
| de142bea DH |
625 | |
| 626 | (pass-if "n = 1" | |
| 627 | (eqv? 0 (remainder 1 1))) | |
| 628 | ||
| 629 | (pass-if "n = -1" | |
| 21e39e8f DH |
630 | (eqv? 0 (remainder 1 -1))) |
| 631 | ||
| 632 | (pass-if "n = fixnum-max" | |
| 633 | (eqv? 1 (remainder 1 fixnum-max))) | |
| de142bea | 634 | |
| 21e39e8f DH |
635 | (pass-if "n = fixnum-max + 1" |
| 636 | (eqv? 1 (remainder 1 (+ fixnum-max 1)))) | |
| de142bea | 637 | |
| 21e39e8f DH |
638 | (pass-if "n = fixnum-min" |
| 639 | (eqv? 1 (remainder 1 fixnum-min))) | |
| de142bea | 640 | |
| 21e39e8f DH |
641 | (pass-if "n = fixnum-min - 1" |
| 642 | (eqv? 1 (remainder 1 (- fixnum-min 1))))) | |
| 643 | ||
| 644 | (with-test-prefix "-1 / n" | |
| de142bea DH |
645 | |
| 646 | (pass-if "n = 1" | |
| 21e39e8f | 647 | (eqv? 0 (remainder -1 1))) |
| de142bea DH |
648 | |
| 649 | (pass-if "n = -1" | |
| 650 | (eqv? 0 (remainder -1 -1))) | |
| 651 | ||
| 21e39e8f DH |
652 | (pass-if "n = fixnum-max" |
| 653 | (eqv? -1 (remainder -1 fixnum-max))) | |
| 654 | ||
| 655 | (pass-if "n = fixnum-max + 1" | |
| 656 | (eqv? -1 (remainder -1 (+ fixnum-max 1)))) | |
| 657 | ||
| 658 | (pass-if "n = fixnum-min" | |
| 659 | (eqv? -1 (remainder -1 fixnum-min))) | |
| 660 | ||
| 661 | (pass-if "n = fixnum-min - 1" | |
| 662 | (eqv? -1 (remainder -1 (- fixnum-min 1))))) | |
| 663 | ||
| 664 | (with-test-prefix "fixnum-max / n" | |
| 665 | ||
| 666 | (pass-if "n = 1" | |
| 667 | (eqv? 0 (remainder fixnum-max 1))) | |
| 668 | ||
| 669 | (pass-if "n = -1" | |
| 670 | (eqv? 0 (remainder fixnum-max -1))) | |
| 671 | ||
| 672 | (pass-if "n = fixnum-max" | |
| 673 | (eqv? 0 (remainder fixnum-max fixnum-max))) | |
| 674 | ||
| 675 | (pass-if "n = fixnum-max + 1" | |
| 676 | (eqv? fixnum-max (remainder fixnum-max (+ fixnum-max 1)))) | |
| 677 | ||
| 678 | (pass-if "n = fixnum-min" | |
| 679 | (eqv? fixnum-max (remainder fixnum-max fixnum-min))) | |
| 680 | ||
| 681 | (pass-if "n = fixnum-min - 1" | |
| 682 | (eqv? fixnum-max (remainder fixnum-max (- fixnum-min 1))))) | |
| 683 | ||
| 684 | (with-test-prefix "(fixnum-max + 1) / n" | |
| 685 | ||
| 686 | (pass-if "n = 1" | |
| 687 | (eqv? 0 (remainder (+ fixnum-max 1) 1))) | |
| 688 | ||
| 689 | (pass-if "n = -1" | |
| 690 | (eqv? 0 (remainder (+ fixnum-max 1) -1))) | |
| 691 | ||
| 692 | (pass-if "n = fixnum-max" | |
| 693 | (eqv? 1 (remainder (+ fixnum-max 1) fixnum-max))) | |
| 694 | ||
| 695 | (pass-if "n = fixnum-max + 1" | |
| 696 | (eqv? 0 (remainder (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| 697 | ||
| 698 | (pass-if "n = fixnum-min" | |
| 699 | (eqv? 0 (remainder (+ fixnum-max 1) fixnum-min))) | |
| 700 | ||
| 701 | (pass-if "n = fixnum-min - 1" | |
| 702 | (eqv? (+ fixnum-max 1) (remainder (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 703 | ||
| 704 | (with-test-prefix "fixnum-min / n" | |
| 705 | ||
| 706 | (pass-if "n = 1" | |
| 707 | (eqv? 0 (remainder fixnum-min 1))) | |
| 708 | ||
| 709 | (pass-if "n = -1" | |
| 710 | (eqv? 0 (remainder fixnum-min -1))) | |
| 711 | ||
| 712 | (pass-if "n = fixnum-max" | |
| 713 | (eqv? -1 (remainder fixnum-min fixnum-max))) | |
| 714 | ||
| 715 | (pass-if "n = fixnum-max + 1" | |
| 716 | (eqv? 0 (remainder fixnum-min (+ fixnum-max 1)))) | |
| 717 | ||
| 718 | (pass-if "n = fixnum-min" | |
| 719 | (eqv? 0 (remainder fixnum-min fixnum-min))) | |
| 720 | ||
| 721 | (pass-if "n = fixnum-min - 1" | |
| ad22fe7c KR |
722 | (eqv? fixnum-min (remainder fixnum-min (- fixnum-min 1)))) |
| 723 | ||
| 724 | (pass-if "n = - fixnum-min - 1" | |
| 725 | (eqv? -1 (remainder fixnum-min (1- (- fixnum-min))))) | |
| 726 | ||
| 727 | ;; special case, normally inum%big is the inum | |
| 728 | (pass-if "n = - fixnum-min" | |
| 729 | (eqv? 0 (remainder fixnum-min (- fixnum-min)))) | |
| 730 | ||
| 731 | (pass-if "n = - fixnum-min + 1" | |
| 732 | (eqv? fixnum-min (remainder fixnum-min (1+ (- fixnum-min)))))) | |
| 21e39e8f DH |
733 | |
| 734 | (with-test-prefix "(fixnum-min - 1) / n" | |
| 735 | ||
| 736 | (pass-if "n = 1" | |
| 737 | (eqv? 0 (remainder (- fixnum-min 1) 1))) | |
| 738 | ||
| 739 | (pass-if "n = -1" | |
| 740 | (eqv? 0 (remainder (- fixnum-min 1) -1))) | |
| 741 | ||
| 742 | (pass-if "n = fixnum-max" | |
| 743 | (eqv? -2 (remainder (- fixnum-min 1) fixnum-max))) | |
| 744 | ||
| 745 | (pass-if "n = fixnum-max + 1" | |
| 746 | (eqv? -1 (remainder (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 747 | ||
| 748 | (pass-if "n = fixnum-min" | |
| 749 | (eqv? -1 (remainder (- fixnum-min 1) fixnum-min))) | |
| 750 | ||
| 751 | (pass-if "n = fixnum-min - 1" | |
| 752 | (eqv? 0 (remainder (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea DH |
753 | |
| 754 | ;; Positive dividend and divisor | |
| 755 | ||
| 756 | (pass-if "35 / 7" | |
| 757 | (eqv? 0 (remainder 35 7))) | |
| 758 | ||
| 759 | ;; Negative dividend, positive divisor | |
| 760 | ||
| 761 | (pass-if "-35 / 7" | |
| 762 | (eqv? 0 (remainder -35 7))) | |
| 763 | ||
| 764 | ;; Positive dividend, negative divisor | |
| 765 | ||
| 766 | (pass-if "35 / -7" | |
| 767 | (eqv? 0 (remainder 35 -7))) | |
| 768 | ||
| 769 | ;; Negative dividend and divisor | |
| 770 | ||
| 771 | (pass-if "-35 / -7" | |
| 772 | (eqv? 0 (remainder -35 -7))) | |
| 773 | ||
| 774 | ;; Are numerical overflows detected correctly? | |
| 775 | ||
| 80074d77 DH |
776 | (with-test-prefix "division by zero" |
| 777 | ||
| 778 | (pass-if-exception "(remainder 1 0)" | |
| 779 | exception:numerical-overflow | |
| 780 | (remainder 1 0)) | |
| 781 | ||
| 782 | (pass-if-exception "(remainder bignum 0)" | |
| 783 | exception:numerical-overflow | |
| 784 | (remainder (+ fixnum-max 1) 0))) | |
| 785 | ||
| de142bea DH |
786 | ;; Are wrong type arguments detected correctly? |
| 787 | ||
| 788 | ) | |
| 789 | ||
| 790 | ;;; | |
| 791 | ;;; modulo | |
| 792 | ;;; | |
| 793 | ||
| 794 | (with-test-prefix "modulo" | |
| 795 | ||
| de142bea | 796 | (expect-fail "documented?" |
| cb18f2a8 | 797 | (documented? modulo)) |
| de142bea | 798 | |
| de142bea DH |
799 | (with-test-prefix "0 % n" |
| 800 | ||
| 801 | (pass-if "n = 1" | |
| 802 | (eqv? 0 (modulo 0 1))) | |
| 803 | ||
| 804 | (pass-if "n = -1" | |
| 805 | (eqv? 0 (modulo 0 -1))) | |
| 806 | ||
| 21e39e8f DH |
807 | (pass-if "n = fixnum-max" |
| 808 | (eqv? 0 (modulo 0 fixnum-max))) | |
| 809 | ||
| 810 | (pass-if "n = fixnum-max + 1" | |
| 811 | (eqv? 0 (modulo 0 (+ fixnum-max 1)))) | |
| de142bea | 812 | |
| 21e39e8f DH |
813 | (pass-if "n = fixnum-min" |
| 814 | (eqv? 0 (modulo 0 fixnum-min))) | |
| de142bea | 815 | |
| 21e39e8f DH |
816 | (pass-if "n = fixnum-min - 1" |
| 817 | (eqv? 0 (modulo 0 (- fixnum-min 1))))) | |
| 818 | ||
| 819 | (with-test-prefix "1 % n" | |
| de142bea DH |
820 | |
| 821 | (pass-if "n = 1" | |
| 822 | (eqv? 0 (modulo 1 1))) | |
| 823 | ||
| 824 | (pass-if "n = -1" | |
| 21e39e8f | 825 | (eqv? 0 (modulo 1 -1))) |
| de142bea | 826 | |
| 21e39e8f DH |
827 | (pass-if "n = fixnum-max" |
| 828 | (eqv? 1 (modulo 1 fixnum-max))) | |
| de142bea | 829 | |
| 21e39e8f DH |
830 | (pass-if "n = fixnum-max + 1" |
| 831 | (eqv? 1 (modulo 1 (+ fixnum-max 1)))) | |
| de142bea | 832 | |
| 21e39e8f DH |
833 | (pass-if "n = fixnum-min" |
| 834 | (eqv? (+ fixnum-min 1) (modulo 1 fixnum-min))) | |
| 835 | ||
| 836 | (pass-if "n = fixnum-min - 1" | |
| 837 | (eqv? fixnum-min (modulo 1 (- fixnum-min 1))))) | |
| 838 | ||
| 839 | (with-test-prefix "-1 % n" | |
| de142bea DH |
840 | |
| 841 | (pass-if "n = 1" | |
| 21e39e8f | 842 | (eqv? 0 (modulo -1 1))) |
| de142bea DH |
843 | |
| 844 | (pass-if "n = -1" | |
| 845 | (eqv? 0 (modulo -1 -1))) | |
| 846 | ||
| 21e39e8f DH |
847 | (pass-if "n = fixnum-max" |
| 848 | (eqv? (- fixnum-max 1) (modulo -1 fixnum-max))) | |
| 849 | ||
| 850 | (pass-if "n = fixnum-max + 1" | |
| 851 | (eqv? fixnum-max (modulo -1 (+ fixnum-max 1)))) | |
| 852 | ||
| 853 | (pass-if "n = fixnum-min" | |
| 854 | (eqv? -1 (modulo -1 fixnum-min))) | |
| 855 | ||
| 856 | (pass-if "n = fixnum-min - 1" | |
| 857 | (eqv? -1 (modulo -1 (- fixnum-min 1))))) | |
| 858 | ||
| 859 | (with-test-prefix "fixnum-max % n" | |
| 860 | ||
| 861 | (pass-if "n = 1" | |
| 862 | (eqv? 0 (modulo fixnum-max 1))) | |
| 863 | ||
| 864 | (pass-if "n = -1" | |
| 865 | (eqv? 0 (modulo fixnum-max -1))) | |
| 866 | ||
| 867 | (pass-if "n = fixnum-max" | |
| 868 | (eqv? 0 (modulo fixnum-max fixnum-max))) | |
| 869 | ||
| 870 | (pass-if "n = fixnum-max + 1" | |
| 871 | (eqv? fixnum-max (modulo fixnum-max (+ fixnum-max 1)))) | |
| 872 | ||
| 873 | (pass-if "n = fixnum-min" | |
| 874 | (eqv? -1 (modulo fixnum-max fixnum-min))) | |
| 875 | ||
| 876 | (pass-if "n = fixnum-min - 1" | |
| 877 | (eqv? -2 (modulo fixnum-max (- fixnum-min 1))))) | |
| 878 | ||
| 879 | (with-test-prefix "(fixnum-max + 1) % n" | |
| 880 | ||
| 881 | (pass-if "n = 1" | |
| 882 | (eqv? 0 (modulo (+ fixnum-max 1) 1))) | |
| 883 | ||
| 884 | (pass-if "n = -1" | |
| 885 | (eqv? 0 (modulo (+ fixnum-max 1) -1))) | |
| 886 | ||
| 887 | (pass-if "n = fixnum-max" | |
| 888 | (eqv? 1 (modulo (+ fixnum-max 1) fixnum-max))) | |
| 889 | ||
| 890 | (pass-if "n = fixnum-max + 1" | |
| 891 | (eqv? 0 (modulo (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| 892 | ||
| 893 | (pass-if "n = fixnum-min" | |
| 894 | (eqv? 0 (modulo (+ fixnum-max 1) fixnum-min))) | |
| 895 | ||
| 896 | (pass-if "n = fixnum-min - 1" | |
| 897 | (eqv? -1 (modulo (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 898 | ||
| 899 | (with-test-prefix "fixnum-min % n" | |
| 900 | ||
| 901 | (pass-if "n = 1" | |
| 902 | (eqv? 0 (modulo fixnum-min 1))) | |
| 903 | ||
| 904 | (pass-if "n = -1" | |
| 905 | (eqv? 0 (modulo fixnum-min -1))) | |
| 906 | ||
| 907 | (pass-if "n = fixnum-max" | |
| 908 | (eqv? (- fixnum-max 1) (modulo fixnum-min fixnum-max))) | |
| 909 | ||
| 910 | (pass-if "n = fixnum-max + 1" | |
| 911 | (eqv? 0 (modulo fixnum-min (+ fixnum-max 1)))) | |
| 912 | ||
| 913 | (pass-if "n = fixnum-min" | |
| 914 | (eqv? 0 (modulo fixnum-min fixnum-min))) | |
| 915 | ||
| 916 | (pass-if "n = fixnum-min - 1" | |
| 917 | (eqv? fixnum-min (modulo fixnum-min (- fixnum-min 1))))) | |
| 918 | ||
| 919 | (with-test-prefix "(fixnum-min - 1) % n" | |
| 920 | ||
| 921 | (pass-if "n = 1" | |
| 922 | (eqv? 0 (modulo (- fixnum-min 1) 1))) | |
| 923 | ||
| 924 | (pass-if "n = -1" | |
| 925 | (eqv? 0 (modulo (- fixnum-min 1) -1))) | |
| 926 | ||
| 927 | (pass-if "n = fixnum-max" | |
| 928 | (eqv? (- fixnum-max 2) (modulo (- fixnum-min 1) fixnum-max))) | |
| 929 | ||
| 930 | (pass-if "n = fixnum-max + 1" | |
| 931 | (eqv? fixnum-max (modulo (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 932 | ||
| 933 | (pass-if "n = fixnum-min" | |
| 934 | (eqv? -1 (modulo (- fixnum-min 1) fixnum-min))) | |
| 935 | ||
| 936 | (pass-if "n = fixnum-min - 1" | |
| 937 | (eqv? 0 (modulo (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea DH |
938 | |
| 939 | ;; Positive dividend and divisor | |
| 940 | ||
| 941 | (pass-if "13 % 4" | |
| 942 | (eqv? 1 (modulo 13 4))) | |
| 943 | ||
| 944 | (pass-if "2177452800 % 86400" | |
| 945 | (eqv? 0 (modulo 2177452800 86400))) | |
| 946 | ||
| 947 | ;; Negative dividend, positive divisor | |
| 948 | ||
| 949 | (pass-if "-13 % 4" | |
| 950 | (eqv? 3 (modulo -13 4))) | |
| 951 | ||
| 952 | (pass-if "-2177452800 % 86400" | |
| 953 | (eqv? 0 (modulo -2177452800 86400))) | |
| 954 | ||
| 955 | ;; Positive dividend, negative divisor | |
| 956 | ||
| 957 | (pass-if "13 % -4" | |
| 958 | (eqv? -3 (modulo 13 -4))) | |
| 959 | ||
| 960 | (pass-if "2177452800 % -86400" | |
| 961 | (eqv? 0 (modulo 2177452800 -86400))) | |
| 962 | ||
| 963 | ;; Negative dividend and divisor | |
| 964 | ||
| 965 | (pass-if "-13 % -4" | |
| 966 | (eqv? -1 (modulo -13 -4))) | |
| 967 | ||
| 968 | (pass-if "-2177452800 % -86400" | |
| 969 | (eqv? 0 (modulo -2177452800 -86400))) | |
| 970 | ||
| 971 | ;; Are numerical overflows detected correctly? | |
| 972 | ||
| 80074d77 DH |
973 | (with-test-prefix "division by zero" |
| 974 | ||
| 975 | (pass-if-exception "(modulo 1 0)" | |
| 976 | exception:numerical-overflow | |
| 977 | (modulo 1 0)) | |
| 978 | ||
| 979 | (pass-if-exception "(modulo bignum 0)" | |
| 980 | exception:numerical-overflow | |
| 981 | (modulo (+ fixnum-max 1) 0))) | |
| 982 | ||
| de142bea DH |
983 | ;; Are wrong type arguments detected correctly? |
| 984 | ||
| 985 | ) | |
| 986 | ||
| 24360e11 KR |
987 | ;;; |
| 988 | ;;; modulo-expt | |
| 989 | ;;; | |
| 990 | ||
| 991 | (with-test-prefix "modulo-expt" | |
| 992 | (pass-if (= 1 (modulo-expt 17 23 47))) | |
| 993 | ||
| 994 | (pass-if (= 1 (modulo-expt 17 -23 47))) | |
| 995 | ||
| 996 | (pass-if (= 17 (modulo-expt 17 -22 47))) | |
| 997 | ||
| 998 | (pass-if (= 36 (modulo-expt 17 22 47))) | |
| 999 | ||
| 1000 | (pass-if (= 183658794479969134816674175082294846241553725240 (modulo-expt 111122223333444455556666 111122223333444455556666 1153478690012629968439432872520758982731022934717))) | |
| 1001 | ||
| 1002 | (pass-if-exception | |
| 1003 | "Proper exception with 0 modulus" | |
| 18ee5de9 | 1004 | exception:numerical-overflow |
| 24360e11 KR |
1005 | (modulo-expt 17 23 0)) |
| 1006 | ||
| 1007 | (pass-if-exception | |
| 1008 | "Proper exception when result not invertible" | |
| 18ee5de9 | 1009 | exception:numerical-overflow |
| 24360e11 KR |
1010 | (modulo-expt 10 -1 48)) |
| 1011 | ||
| 1012 | (pass-if-exception | |
| 1013 | "Proper exception with wrong type argument" | |
| 18ee5de9 | 1014 | exception:wrong-type-arg |
| 24360e11 KR |
1015 | (modulo-expt "Sam" 23 10)) |
| 1016 | ||
| 1017 | (pass-if-exception | |
| 1018 | "Proper exception with wrong type argument" | |
| 18ee5de9 | 1019 | exception:wrong-type-arg |
| 24360e11 KR |
1020 | (modulo-expt 17 9.9 10)) |
| 1021 | ||
| 1022 | (pass-if-exception | |
| 1023 | "Proper exception with wrong type argument" | |
| 18ee5de9 | 1024 | exception:wrong-type-arg |
| 24360e11 KR |
1025 | (modulo-expt 17 23 'Ethel))) |
| 1026 | ||
| ba46895c KR |
1027 | ;;; |
| 1028 | ;;; numerator | |
| 1029 | ;;; | |
| 1030 | ||
| 1031 | (with-test-prefix "numerator" | |
| 1032 | (pass-if "0" | |
| 1033 | (eqv? 0 (numerator 0))) | |
| 1034 | (pass-if "1" | |
| 1035 | (eqv? 1 (numerator 1))) | |
| 1036 | (pass-if "2" | |
| 1037 | (eqv? 2 (numerator 2))) | |
| 1038 | (pass-if "-1" | |
| 1039 | (eqv? -1 (numerator -1))) | |
| 1040 | (pass-if "-2" | |
| 1041 | (eqv? -2 (numerator -2))) | |
| 1042 | ||
| 1043 | (pass-if "0.0" | |
| 1044 | (eqv? 0.0 (numerator 0.0))) | |
| 1045 | (pass-if "1.0" | |
| 1046 | (eqv? 1.0 (numerator 1.0))) | |
| 1047 | (pass-if "2.0" | |
| 1048 | (eqv? 2.0 (numerator 2.0))) | |
| 1049 | (pass-if "-1.0" | |
| 1050 | (eqv? -1.0 (numerator -1.0))) | |
| 1051 | (pass-if "-2.0" | |
| 1052 | (eqv? -2.0 (numerator -2.0))) | |
| 1053 | ||
| 1054 | (pass-if "0.5" | |
| 1055 | (eqv? 1.0 (numerator 0.5))) | |
| 1056 | (pass-if "0.25" | |
| 1057 | (eqv? 1.0 (numerator 0.25))) | |
| 1058 | (pass-if "0.75" | |
| 1059 | (eqv? 3.0 (numerator 0.75)))) | |
| 1060 | ||
| 1061 | ;;; | |
| 1062 | ;;; denominator | |
| 1063 | ;;; | |
| 1064 | ||
| 1065 | (with-test-prefix "denominator" | |
| 1066 | (pass-if "0" | |
| 1067 | (eqv? 1 (denominator 0))) | |
| 1068 | (pass-if "1" | |
| 1069 | (eqv? 1 (denominator 1))) | |
| 1070 | (pass-if "2" | |
| 1071 | (eqv? 1 (denominator 2))) | |
| 1072 | (pass-if "-1" | |
| 1073 | (eqv? 1 (denominator -1))) | |
| 1074 | (pass-if "-2" | |
| 1075 | (eqv? 1 (denominator -2))) | |
| 1076 | ||
| 1077 | (pass-if "0.0" | |
| 1078 | (eqv? 1.0 (denominator 0.0))) | |
| 1079 | (pass-if "1.0" | |
| 1080 | (eqv? 1.0 (denominator 1.0))) | |
| 1081 | (pass-if "2.0" | |
| 1082 | (eqv? 1.0 (denominator 2.0))) | |
| 1083 | (pass-if "-1.0" | |
| 1084 | (eqv? 1.0 (denominator -1.0))) | |
| 1085 | (pass-if "-2.0" | |
| 1086 | (eqv? 1.0 (denominator -2.0))) | |
| 1087 | ||
| 1088 | (pass-if "0.5" | |
| 1089 | (eqv? 2.0 (denominator 0.5))) | |
| 1090 | (pass-if "0.25" | |
| 1091 | (eqv? 4.0 (denominator 0.25))) | |
| 1092 | (pass-if "0.75" | |
| 1093 | (eqv? 4.0 (denominator 0.75)))) | |
| 1094 | ||
| de142bea DH |
1095 | ;;; |
| 1096 | ;;; gcd | |
| 1097 | ;;; | |
| 1098 | ||
| 1099 | (with-test-prefix "gcd" | |
| 1100 | ||
| d389e966 | 1101 | (pass-if "documented?" |
| cb18f2a8 | 1102 | (documented? gcd)) |
| de142bea | 1103 | |
| 1dd79792 NJ |
1104 | (with-test-prefix "(n)" |
| 1105 | ||
| 1106 | (pass-if "n = -2" | |
| 1107 | (eqv? 2 (gcd -2)))) | |
| 1108 | ||
| de142bea DH |
1109 | (with-test-prefix "(0 n)" |
| 1110 | ||
| 21e39e8f DH |
1111 | (pass-if "n = 0" |
| 1112 | (eqv? 0 (gcd 0 0))) | |
| 1113 | ||
| de142bea DH |
1114 | (pass-if "n = 1" |
| 1115 | (eqv? 1 (gcd 0 1))) | |
| 1116 | ||
| 1117 | (pass-if "n = -1" | |
| 1118 | (eqv? 1 (gcd 0 -1))) | |
| 1119 | ||
| 21e39e8f DH |
1120 | (pass-if "n = fixnum-max" |
| 1121 | (eqv? fixnum-max (gcd 0 fixnum-max))) | |
| de142bea | 1122 | |
| 21e39e8f DH |
1123 | (pass-if "n = fixnum-max + 1" |
| 1124 | (eqv? (+ fixnum-max 1) (gcd 0 (+ fixnum-max 1)))) | |
| de142bea | 1125 | |
| 21e39e8f DH |
1126 | (pass-if "n = fixnum-min" |
| 1127 | (eqv? (- fixnum-min) (gcd 0 fixnum-min))) | |
| de142bea | 1128 | |
| 21e39e8f DH |
1129 | (pass-if "n = fixnum-min - 1" |
| 1130 | (eqv? (- (- fixnum-min 1)) (gcd 0 (- fixnum-min 1))))) | |
| 1131 | ||
| db386f80 KR |
1132 | (with-test-prefix "(n 0)" |
| 1133 | ||
| 1134 | (pass-if "n = 2^128 * fixnum-max" | |
| 1135 | (eqv? (ash fixnum-max 128) (gcd (ash fixnum-max 128) 0)))) | |
| 1136 | ||
| 21e39e8f DH |
1137 | (with-test-prefix "(1 n)" |
| 1138 | ||
| 1139 | (pass-if "n = 0" | |
| de142bea DH |
1140 | (eqv? 1 (gcd 1 0))) |
| 1141 | ||
| 21e39e8f DH |
1142 | (pass-if "n = 1" |
| 1143 | (eqv? 1 (gcd 1 1))) | |
| 1144 | ||
| de142bea | 1145 | (pass-if "n = -1" |
| 21e39e8f DH |
1146 | (eqv? 1 (gcd 1 -1))) |
| 1147 | ||
| 1148 | (pass-if "n = fixnum-max" | |
| 1149 | (eqv? 1 (gcd 1 fixnum-max))) | |
| 1150 | ||
| 1151 | (pass-if "n = fixnum-max + 1" | |
| 1152 | (eqv? 1 (gcd 1 (+ fixnum-max 1)))) | |
| 1153 | ||
| 1154 | (pass-if "n = fixnum-min" | |
| 1155 | (eqv? 1 (gcd 1 fixnum-min))) | |
| 1156 | ||
| 1157 | (pass-if "n = fixnum-min - 1" | |
| 1158 | (eqv? 1 (gcd 1 (- fixnum-min 1))))) | |
| 1159 | ||
| 1160 | (with-test-prefix "(-1 n)" | |
| 1161 | ||
| 1162 | (pass-if "n = 0" | |
| de142bea DH |
1163 | (eqv? 1 (gcd -1 0))) |
| 1164 | ||
| 21e39e8f DH |
1165 | (pass-if "n = 1" |
| 1166 | (eqv? 1 (gcd -1 1))) | |
| de142bea | 1167 | |
| 21e39e8f DH |
1168 | (pass-if "n = -1" |
| 1169 | (eqv? 1 (gcd -1 -1))) | |
| de142bea | 1170 | |
| 21e39e8f DH |
1171 | (pass-if "n = fixnum-max" |
| 1172 | (eqv? 1 (gcd -1 fixnum-max))) | |
| 1173 | ||
| 1174 | (pass-if "n = fixnum-max + 1" | |
| 1175 | (eqv? 1 (gcd -1 (+ fixnum-max 1)))) | |
| 1176 | ||
| 1177 | (pass-if "n = fixnum-min" | |
| 1178 | (eqv? 1 (gcd -1 fixnum-min))) | |
| 1179 | ||
| 1180 | (pass-if "n = fixnum-min - 1" | |
| 1181 | (eqv? 1 (gcd -1 (- fixnum-min 1))))) | |
| 1182 | ||
| 1183 | (with-test-prefix "(fixnum-max n)" | |
| 1184 | ||
| 1185 | (pass-if "n = 0" | |
| 1186 | (eqv? fixnum-max (gcd fixnum-max 0))) | |
| de142bea DH |
1187 | |
| 1188 | (pass-if "n = 1" | |
| 21e39e8f | 1189 | (eqv? 1 (gcd fixnum-max 1))) |
| de142bea DH |
1190 | |
| 1191 | (pass-if "n = -1" | |
| 21e39e8f DH |
1192 | (eqv? 1 (gcd fixnum-max -1))) |
| 1193 | ||
| 1194 | (pass-if "n = fixnum-max" | |
| 1195 | (eqv? fixnum-max (gcd fixnum-max fixnum-max))) | |
| de142bea | 1196 | |
| 21e39e8f DH |
1197 | (pass-if "n = fixnum-max + 1" |
| 1198 | (eqv? 1 (gcd fixnum-max (+ fixnum-max 1)))) | |
| de142bea | 1199 | |
| 21e39e8f DH |
1200 | (pass-if "n = fixnum-min" |
| 1201 | (eqv? 1 (gcd fixnum-max fixnum-min))) | |
| de142bea | 1202 | |
| 21e39e8f DH |
1203 | (pass-if "n = fixnum-min - 1" |
| 1204 | (eqv? 1 (gcd fixnum-max (- fixnum-min 1))))) | |
| 1205 | ||
| 1206 | (with-test-prefix "((+ fixnum-max 1) n)" | |
| 1207 | ||
| 1208 | (pass-if "n = 0" | |
| 1209 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) 0))) | |
| 1210 | ||
| 1211 | (pass-if "n = 1" | |
| 1212 | (eqv? 1 (gcd (+ fixnum-max 1) 1))) | |
| de142bea DH |
1213 | |
| 1214 | (pass-if "n = -1" | |
| 21e39e8f | 1215 | (eqv? 1 (gcd (+ fixnum-max 1) -1))) |
| de142bea | 1216 | |
| 21e39e8f DH |
1217 | (pass-if "n = fixnum-max" |
| 1218 | (eqv? 1 (gcd (+ fixnum-max 1) fixnum-max))) | |
| de142bea | 1219 | |
| 21e39e8f DH |
1220 | (pass-if "n = fixnum-max + 1" |
| 1221 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| de142bea | 1222 | |
| 21e39e8f DH |
1223 | (pass-if "n = fixnum-min" |
| 1224 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) fixnum-min))) | |
| 1225 | ||
| 1226 | (pass-if "n = fixnum-min - 1" | |
| 1227 | (eqv? 1 (gcd (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 1228 | ||
| 1229 | (with-test-prefix "(fixnum-min n)" | |
| 1230 | ||
| 1231 | (pass-if "n = 0" | |
| 1232 | (eqv? (- fixnum-min) (gcd fixnum-min 0))) | |
| 1233 | ||
| 1234 | (pass-if "n = 1" | |
| 1235 | (eqv? 1 (gcd fixnum-min 1))) | |
| de142bea DH |
1236 | |
| 1237 | (pass-if "n = -1" | |
| 21e39e8f DH |
1238 | (eqv? 1 (gcd fixnum-min -1))) |
| 1239 | ||
| 1240 | (pass-if "n = fixnum-max" | |
| 1241 | (eqv? 1 (gcd fixnum-min fixnum-max))) | |
| 1242 | ||
| 1243 | (pass-if "n = fixnum-max + 1" | |
| 1244 | (eqv? (+ fixnum-max 1) (gcd fixnum-min (+ fixnum-max 1)))) | |
| de142bea | 1245 | |
| 21e39e8f DH |
1246 | (pass-if "n = fixnum-min" |
| 1247 | (eqv? (- fixnum-min) (gcd fixnum-min fixnum-min))) | |
| 1248 | ||
| 1249 | (pass-if "n = fixnum-min - 1" | |
| 1250 | (eqv? 1 (gcd fixnum-min (- fixnum-min 1))))) | |
| 1251 | ||
| 1252 | (with-test-prefix "((- fixnum-min 1) n)" | |
| 1253 | ||
| 1254 | (pass-if "n = 0" | |
| 1255 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) 0))) | |
| 1256 | ||
| 1257 | (pass-if "n = 1" | |
| 1258 | (eqv? 1 (gcd (- fixnum-min 1) 1))) | |
| 1259 | ||
| 1260 | (pass-if "n = -1" | |
| 1261 | (eqv? 1 (gcd (- fixnum-min 1) -1))) | |
| 1262 | ||
| 1263 | (pass-if "n = fixnum-max" | |
| 1264 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-max))) | |
| 1265 | ||
| 1266 | (pass-if "n = fixnum-max + 1" | |
| 1267 | (eqv? 1 (gcd (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 1268 | ||
| 1269 | (pass-if "n = fixnum-min" | |
| 1270 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-min))) | |
| 1271 | ||
| 1272 | (pass-if "n = fixnum-min - 1" | |
| 1273 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea DH |
1274 | |
| 1275 | ;; Are wrong type arguments detected correctly? | |
| 1276 | ||
| 1277 | ) | |
| 1278 | ||
| f29b3454 DH |
1279 | ;;; |
| 1280 | ;;; lcm | |
| 1281 | ;;; | |
| 1282 | ||
| 7c24e528 RB |
1283 | (with-test-prefix "lcm" |
| 1284 | ;; FIXME: more tests? | |
| 1285 | ;; (some of these are already in r4rs.test) | |
| d389e966 | 1286 | (pass-if (documented? lcm)) |
| 7c24e528 RB |
1287 | (pass-if (= (lcm) 1)) |
| 1288 | (pass-if (= (lcm 32 -36) 288)) | |
| 1289 | (let ((big-n 115792089237316195423570985008687907853269984665640564039457584007913129639936) ; 2 ^ 256 | |
| 1290 | (lcm-of-big-n-and-11 1273712981610478149659280835095566986385969831322046204434033424087044426039296)) | |
| 1291 | (pass-if (= lcm-of-big-n-and-11 (lcm big-n 11))) | |
| 1292 | (pass-if (= lcm-of-big-n-and-11 (lcm 11 big-n 11))))) | |
| 1293 | ||
| f29b3454 DH |
1294 | ;;; |
| 1295 | ;;; number->string | |
| 1296 | ;;; | |
| 1297 | ||
| 7c24e528 RB |
1298 | (with-test-prefix "number->string" |
| 1299 | (let ((num->str->num | |
| 1300 | (lambda (n radix) | |
| 1301 | (string->number (number->string n radix) radix)))) | |
| 1302 | ||
| 1303 | (pass-if (documented? number->string)) | |
| 1304 | (pass-if (string=? (number->string 0) "0")) | |
| 1305 | (pass-if (string=? (number->string 171) "171")) | |
| 1306 | (pass-if (= (+ fixnum-max 1) (num->str->num (+ fixnum-max 1) 10))) | |
| 1307 | (pass-if (= (- fixnum-min 1) (num->str->num (- fixnum-min 1) 10))) | |
| 1308 | (pass-if (= (inf) (num->str->num (inf) 10))) | |
| d39a7b58 MV |
1309 | (pass-if (= 1.3 (num->str->num 1.3 10))) |
| 1310 | ||
| eb73f94b MV |
1311 | ;; XXX - some results depend on whether Guile is compiled optimzed |
| 1312 | ;; or not. It is clearly undesirable to have number->string to be | |
| 1313 | ;; influenced by this. | |
| 1314 | ||
| 3740c788 | 1315 | (pass-if (string=? (number->string 35.25 36) "z.9")) |
| eb73f94b MV |
1316 | (pass-if (or (string=? (number->string 0.25 2) "0.01") |
| 1317 | (string=? (number->string 0.25 2) "0.010"))) | |
| 3740c788 | 1318 | (pass-if (string=? (number->string 255.0625 16) "ff.1")) |
| d39a7b58 | 1319 | (pass-if (string=? (number->string (/ 1 3) 3) "1/10")) |
| 23f2b9a3 | 1320 | |
| a6f3af16 | 1321 | (pass-if (string=? (number->string 10) "10")) |
| 3740c788 | 1322 | (pass-if (string=? (number->string 10 11) "a")) |
| a6f3af16 AW |
1323 | (pass-if (string=? (number->string 36 36) "10")) |
| 1324 | (pass-if (= (num->str->num 36 36) 36)) | |
| 1325 | (pass-if (= (string->number "z" 36) 35)) | |
| 1326 | (pass-if (= (string->number "Z" 36) 35)) | |
| 1327 | (pass-if (not (string->number "Z" 35))) | |
| 3740c788 | 1328 | (pass-if (string=? (number->string 35 36) "z")) |
| a6f3af16 AW |
1329 | (pass-if (= (num->str->num 35 36) 35)) |
| 1330 | ||
| 23f2b9a3 KR |
1331 | ;; Numeric conversion from decimal is not precise, in its current |
| 1332 | ;; implementation, so 11.333... and 1.324... can't be expected to | |
| 1333 | ;; reliably come out to precise values. These tests did actually work | |
| 1334 | ;; for a while, but something in gcc changed, affecting the conversion | |
| 1335 | ;; code. | |
| 1336 | ;; | |
| 1337 | ;; (pass-if (or (string=? (number->string 11.33333333333333333 12) | |
| 1338 | ;; "B.4") | |
| 1339 | ;; (string=? (number->string 11.33333333333333333 12) | |
| 1340 | ;; "B.400000000000009"))) | |
| 1341 | ;; (pass-if (or (string=? (number->string 1.324e44 16) | |
| 1342 | ;; "5.EFE0A14FAFEe24") | |
| 1343 | ;; (string=? (number->string 1.324e44 16) | |
| 1344 | ;; "5.EFE0A14FAFDF8e24"))) | |
| 1345 | )) | |
| 7c24e528 | 1346 | |
| f29b3454 DH |
1347 | ;;; |
| 1348 | ;;; string->number | |
| 1349 | ;;; | |
| 1350 | ||
| 2f4a254a DH |
1351 | (with-test-prefix "string->number" |
| 1352 | ||
| ff758237 | 1353 | (pass-if "documented?" |
| 2f4a254a DH |
1354 | (documented? string->number)) |
| 1355 | ||
| 1356 | (pass-if "non number strings" | |
| 1357 | (for-each (lambda (x) (if (string->number x) (throw 'fail))) | |
| 569c483b | 1358 | '("" "q" "1q" "6+7iq" "8+9q" "10+11" "13+" "18@19q" "20@q" "23@" |
| 2f4a254a | 1359 | "+25iq" "26i" "-q" "-iq" "i" "5#.0" "8/" "10#11" ".#" "." |
| 569c483b | 1360 | "#o.2" "3.4q" "15.16e17q" "18.19e+q" ".q" ".17#18" "10q" "#b2" |
| 2f4a254a DH |
1361 | "#b3" "#b4" "#b5" "#b6" "#b7" "#b8" "#b9" "#ba" "#bb" "#bc" |
| 1362 | "#bd" "#be" "#bf" "#q" "#b#b1" "#o#o1" "#d#d1" "#x#x1" "#e#e1" | |
| 1363 | "#i#i1" "12@12+0i")) | |
| 1364 | #t) | |
| 1365 | ||
| b7d9b1cf DH |
1366 | (pass-if "valid number strings" |
| 1367 | (for-each (lambda (couple) | |
| 1368 | (apply | |
| 1369 | (lambda (x y) | |
| 9dd9857f MV |
1370 | (let ((xx (string->number x))) |
| 1371 | (if (or (eq? xx #f) (not (eqv? xx y))) | |
| ca2b31fe MV |
1372 | (begin |
| 1373 | (pk x y) | |
| 1374 | (throw 'fail))))) | |
| b7d9b1cf DH |
1375 | couple)) |
| 1376 | `(;; Radix: | |
| 1377 | ("#b0" 0) ("#B0" 0) ("#b1" 1) ("#B1" 1) ("#o0" 0) ("#O0" 0) | |
| 1378 | ("#o1" 1) ("#O1" 1) ("#o2" 2) ("#O2" 2) ("#o3" 3) ("#O3" 3) | |
| 1379 | ("#o4" 4) ("#O4" 4) ("#o5" 5) ("#O5" 5) ("#o6" 6) ("#O6" 6) | |
| 1380 | ("#o7" 7) ("#O7" 7) ("#d0" 0) ("#D0" 0) ("#d1" 1) ("#D1" 1) | |
| 1381 | ("#d2" 2) ("#D2" 2) ("#d3" 3) ("#D3" 3) ("#d4" 4) ("#D4" 4) | |
| 1382 | ("#d5" 5) ("#D5" 5) ("#d6" 6) ("#D6" 6) ("#d7" 7) ("#D7" 7) | |
| 1383 | ("#d8" 8) ("#D8" 8) ("#d9" 9) ("#D9" 9) | |
| 1384 | ("#xa" 10) ("#Xa" 10) ("#xb" 11) ("#Xb" 11) | |
| 1385 | ("#xc" 12) ("#Xc" 12) ("#xd" 13) ("#Xd" 13) | |
| 1386 | ("#xe" 14) ("#Xe" 14) ("#xf" 15) ("#Xf" 15) | |
| 1387 | ("#b1010" 10) | |
| 1388 | ("#o12345670" 2739128) | |
| 1389 | ("#d1234567890" 1234567890) | |
| 1390 | ("#x1234567890abcdef" 1311768467294899695) | |
| 1391 | ;; Exactness: | |
| ca2b31fe | 1392 | ("#e1" 1) ("#e1.2" 12/10) |
| 9dd9857f | 1393 | ("#i1.1" 1.1) ("#i1" 1.0) |
| b7d9b1cf DH |
1394 | ;; Integers: |
| 1395 | ("1" ,(1+ 0)) ("23" ,(+ 9 9 5)) ("-1" ,(- 0 1)) | |
| 1396 | ("-45" ,(- 0 45)) ("2#" 20.0) ("2##" 200.0) ("12##" 1200.0) | |
| 1397 | ("#b#i100" 4.0) | |
| 9dd9857f MV |
1398 | ;; Fractions: |
| 1399 | ("1/1" 1) ("1/2" 1/2) ("-1/2" -1/2) ("1#/1" 10.0) | |
| 1400 | ("10/1#" 1.0) ("1#/1#" 1.0) ("#e9/10" 9/10) ("#e10/1#" 1) | |
| b7d9b1cf DH |
1401 | ("#i6/8" 0.75) ("#i1/1" 1.0) |
| 1402 | ;; Decimal numbers: | |
| 1403 | ;; * <uinteger 10> <suffix> | |
| 1404 | ("1e2" 100.0) ("1E2" 100.0) ("1s2" 100.0) ("1S2" 100.0) | |
| 1405 | ("1f2" 100.0) ("1F2" 100.0) ("1d2" 100.0) ("1D2" 100.0) | |
| 1406 | ("1l2" 100.0) ("1L2" 100.0) ("1e+2" 100.0) ("1e-2" 0.01) | |
| 1407 | ;; * . <digit 10>+ #* <suffix> | |
| 1408 | (".1" .1) (".0123456789" 123456789e-10) (".16#" 0.16) | |
| 1409 | (".0123456789e10" 123456789.0) (".16#e3" 160.0) ("#d.3" 0.3) | |
| 1410 | ;; * <digit 10>+ . <digit 10>* #* <suffix> | |
| 1411 | ("3." ,(exact->inexact 3)) ("3.e0" ,(exact->inexact 3)) | |
| 1412 | ("3.1" ,(exact->inexact 31/10)) ("3.1e0" 3.1) ("3.1#" 3.1) | |
| 1413 | ("3.1#e0" 3.1) | |
| 1414 | ;; * <digit 10>+ #+ . #* <suffix> | |
| 1415 | ("3#." 30.0) ("3#.e0" 30.0) ("3#.#" 30.0) ("3#.#e0" 30.0) | |
| 1416 | ;; Complex: | |
| 1417 | ("1@0" 1.0) ("1@+0" 1.0) ("1@-0" 1.0) | |
| 1418 | ("2+3i" ,(+ 2 (* 3 +i))) ("4-5i" ,(- 4 (* 5 +i))) | |
| 1419 | ("1+i" 1+1i) ("1-i" 1-1i) ("+1i" 0+1i) ("-1i" 0-1i) | |
| 40f89215 NJ |
1420 | ("+i" +1i) ("-i" -1i) |
| 1421 | ("1.0+.1i" 1.0+0.1i) | |
| 1422 | ("1.0-.1i" 1.0-0.1i) | |
| 1423 | (".1+.0i" 0.1) | |
| 1424 | ("1.+.0i" 1.0) | |
| 1425 | (".1+.1i" 0.1+0.1i) | |
| 1426 | ("1e1+.1i" 10+0.1i) | |
| 1427 | )) | |
| b7d9b1cf DH |
1428 | #t) |
| 1429 | ||
| 2f4a254a DH |
1430 | (pass-if-exception "exponent too big" |
| 1431 | exception:out-of-range | |
| 48e78ba6 KR |
1432 | (string->number "12.13e141414")) |
| 1433 | ||
| 1434 | ;; in guile 1.6.7 and earlier, bad polar forms (where the conversion of | |
| 1435 | ;; the angle gave #f) caused a segv | |
| 1436 | (pass-if "1@a" | |
| 1437 | (eq? #f (string->number "1@a")))) | |
| 2f4a254a | 1438 | |
| f29b3454 DH |
1439 | ;;; |
| 1440 | ;;; number? | |
| 1441 | ;;; | |
| 1442 | ||
| 7c24e528 RB |
1443 | (with-test-prefix "number?" |
| 1444 | (pass-if (documented? number?)) | |
| 1445 | (pass-if (number? 0)) | |
| 1446 | (pass-if (number? 7)) | |
| 1447 | (pass-if (number? -7)) | |
| 1448 | (pass-if (number? 1.3)) | |
| 1449 | (pass-if (number? (+ 1 fixnum-max))) | |
| 1450 | (pass-if (number? (- 1 fixnum-min))) | |
| 1451 | (pass-if (number? 3+4i)) | |
| 4d332f19 DH |
1452 | (pass-if (not (number? #\a))) |
| 1453 | (pass-if (not (number? "a"))) | |
| 1454 | (pass-if (not (number? (make-vector 0)))) | |
| 1455 | (pass-if (not (number? (cons 1 2)))) | |
| 1456 | (pass-if (not (number? #t))) | |
| 1457 | (pass-if (not (number? (lambda () #t)))) | |
| 1458 | (pass-if (not (number? (current-input-port))))) | |
| 7c24e528 | 1459 | |
| f29b3454 DH |
1460 | ;;; |
| 1461 | ;;; complex? | |
| 1462 | ;;; | |
| 1463 | ||
| 7c24e528 RB |
1464 | (with-test-prefix "complex?" |
| 1465 | (pass-if (documented? complex?)) | |
| 1466 | (pass-if (complex? 0)) | |
| 1467 | (pass-if (complex? 7)) | |
| 1468 | (pass-if (complex? -7)) | |
| 1469 | (pass-if (complex? (+ 1 fixnum-max))) | |
| 1470 | (pass-if (complex? (- 1 fixnum-min))) | |
| 1471 | (pass-if (complex? 1.3)) | |
| 1472 | (pass-if (complex? 3+4i)) | |
| 4d332f19 DH |
1473 | (pass-if (not (complex? #\a))) |
| 1474 | (pass-if (not (complex? "a"))) | |
| 1475 | (pass-if (not (complex? (make-vector 0)))) | |
| 1476 | (pass-if (not (complex? (cons 1 2)))) | |
| 1477 | (pass-if (not (complex? #t))) | |
| 1478 | (pass-if (not (complex? (lambda () #t)))) | |
| 1479 | (pass-if (not (complex? (current-input-port))))) | |
| 7c24e528 | 1480 | |
| f29b3454 DH |
1481 | ;;; |
| 1482 | ;;; real? | |
| 1483 | ;;; | |
| 1484 | ||
| 7c24e528 RB |
1485 | (with-test-prefix "real?" |
| 1486 | (pass-if (documented? real?)) | |
| 1487 | (pass-if (real? 0)) | |
| 1488 | (pass-if (real? 7)) | |
| 1489 | (pass-if (real? -7)) | |
| 1490 | (pass-if (real? (+ 1 fixnum-max))) | |
| 1491 | (pass-if (real? (- 1 fixnum-min))) | |
| 1492 | (pass-if (real? 1.3)) | |
| 4d332f19 DH |
1493 | (pass-if (not (real? 3+4i))) |
| 1494 | (pass-if (not (real? #\a))) | |
| 1495 | (pass-if (not (real? "a"))) | |
| 1496 | (pass-if (not (real? (make-vector 0)))) | |
| 1497 | (pass-if (not (real? (cons 1 2)))) | |
| 1498 | (pass-if (not (real? #t))) | |
| 1499 | (pass-if (not (real? (lambda () #t)))) | |
| 1500 | (pass-if (not (real? (current-input-port))))) | |
| 7c24e528 | 1501 | |
| f29b3454 | 1502 | ;;; |
| 7c24e528 | 1503 | ;;; rational? (same as real? right now) |
| f29b3454 DH |
1504 | ;;; |
| 1505 | ||
| 7c24e528 RB |
1506 | (with-test-prefix "rational?" |
| 1507 | (pass-if (documented? rational?)) | |
| 1508 | (pass-if (rational? 0)) | |
| 1509 | (pass-if (rational? 7)) | |
| 1510 | (pass-if (rational? -7)) | |
| 1511 | (pass-if (rational? (+ 1 fixnum-max))) | |
| 1512 | (pass-if (rational? (- 1 fixnum-min))) | |
| 1513 | (pass-if (rational? 1.3)) | |
| 4d332f19 DH |
1514 | (pass-if (not (rational? 3+4i))) |
| 1515 | (pass-if (not (rational? #\a))) | |
| 1516 | (pass-if (not (rational? "a"))) | |
| 1517 | (pass-if (not (rational? (make-vector 0)))) | |
| 1518 | (pass-if (not (rational? (cons 1 2)))) | |
| 1519 | (pass-if (not (rational? #t))) | |
| 1520 | (pass-if (not (rational? (lambda () #t)))) | |
| 1521 | (pass-if (not (rational? (current-input-port))))) | |
| 7c24e528 | 1522 | |
| f29b3454 DH |
1523 | ;;; |
| 1524 | ;;; integer? | |
| 1525 | ;;; | |
| 1526 | ||
| 7c24e528 RB |
1527 | (with-test-prefix "integer?" |
| 1528 | (pass-if (documented? integer?)) | |
| 1529 | (pass-if (integer? 0)) | |
| 1530 | (pass-if (integer? 7)) | |
| 1531 | (pass-if (integer? -7)) | |
| 1532 | (pass-if (integer? (+ 1 fixnum-max))) | |
| 1533 | (pass-if (integer? (- 1 fixnum-min))) | |
| 1534 | (pass-if (and (= 3+0i (round 3+0i)) (integer? 3+0i))) | |
| 1535 | (pass-if (and (= 1.0 (round 1.0)) (integer? 1.0))) | |
| 4d332f19 | 1536 | (pass-if (not (integer? 1.3))) |
| 8e43ed5d AW |
1537 | (pass-if (not (integer? +inf.0))) |
| 1538 | (pass-if (not (integer? -inf.0))) | |
| c1122753 | 1539 | (pass-if (not (integer? +nan.0))) |
| 4d332f19 DH |
1540 | (pass-if (not (integer? 3+4i))) |
| 1541 | (pass-if (not (integer? #\a))) | |
| 1542 | (pass-if (not (integer? "a"))) | |
| 1543 | (pass-if (not (integer? (make-vector 0)))) | |
| 1544 | (pass-if (not (integer? (cons 1 2)))) | |
| 1545 | (pass-if (not (integer? #t))) | |
| 1546 | (pass-if (not (integer? (lambda () #t)))) | |
| 1547 | (pass-if (not (integer? (current-input-port))))) | |
| 7c24e528 | 1548 | |
| f29b3454 DH |
1549 | ;;; |
| 1550 | ;;; inexact? | |
| 1551 | ;;; | |
| 1552 | ||
| 7c24e528 RB |
1553 | (with-test-prefix "inexact?" |
| 1554 | (pass-if (documented? inexact?)) | |
| 4d332f19 DH |
1555 | (pass-if (not (inexact? 0))) |
| 1556 | (pass-if (not (inexact? 7))) | |
| 1557 | (pass-if (not (inexact? -7))) | |
| 1558 | (pass-if (not (inexact? (+ 1 fixnum-max)))) | |
| 1559 | (pass-if (not (inexact? (- 1 fixnum-min)))) | |
| 7c24e528 RB |
1560 | (pass-if (inexact? 1.3)) |
| 1561 | (pass-if (inexact? 3.1+4.2i)) | |
| ca2b31fe MV |
1562 | (pass-if-exception "char" |
| 1563 | exception:wrong-type-arg | |
| 1564 | (not (inexact? #\a))) | |
| 1565 | (pass-if-exception "string" | |
| 1566 | exception:wrong-type-arg | |
| 1567 | (not (inexact? "a"))) | |
| 1568 | (pass-if-exception "vector" | |
| 1569 | exception:wrong-type-arg | |
| 1570 | (not (inexact? (make-vector 0)))) | |
| 1571 | (pass-if-exception "cons" | |
| 1572 | exception:wrong-type-arg | |
| 1573 | (not (inexact? (cons 1 2)))) | |
| 1574 | (pass-if-exception "bool" | |
| 1575 | exception:wrong-type-arg | |
| 1576 | (not (inexact? #t))) | |
| 1577 | (pass-if-exception "procedure" | |
| 1578 | exception:wrong-type-arg | |
| 1579 | (not (inexact? (lambda () #t)))) | |
| 1580 | (pass-if-exception "port" | |
| 1581 | exception:wrong-type-arg | |
| 1582 | (not (inexact? (current-input-port))))) | |
| 7c24e528 | 1583 | |
| 47ae1f0e DH |
1584 | ;;; |
| 1585 | ;;; equal? | |
| 1586 | ;;; | |
| 1587 | ||
| 1588 | (with-test-prefix "equal?" | |
| 1589 | (pass-if (documented? equal?)) | |
| 1590 | (pass-if (equal? 0 0)) | |
| 1591 | (pass-if (equal? 7 7)) | |
| 1592 | (pass-if (equal? -7 -7)) | |
| 1593 | (pass-if (equal? (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
| 1594 | (pass-if (equal? (- fixnum-min 1) (- fixnum-min 1))) | |
| 1595 | (pass-if (not (equal? 0 1))) | |
| 1596 | (pass-if (not (equal? fixnum-max (+ 1 fixnum-max)))) | |
| 1597 | (pass-if (not (equal? (+ 1 fixnum-max) fixnum-max))) | |
| 1598 | (pass-if (not (equal? (+ 1 fixnum-max) (+ 2 fixnum-max)))) | |
| 1599 | (pass-if (not (equal? fixnum-min (- fixnum-min 1)))) | |
| 1600 | (pass-if (not (equal? (- fixnum-min 1) fixnum-min))) | |
| 1601 | (pass-if (not (equal? (- fixnum-min 1) (- fixnum-min 2)))) | |
| 1602 | (pass-if (not (equal? (+ fixnum-max 1) (- fixnum-min 1)))) | |
| 1603 | ||
| 1604 | (pass-if (not (equal? (ash 1 256) +inf.0))) | |
| 1605 | (pass-if (not (equal? +inf.0 (ash 1 256)))) | |
| 1606 | (pass-if (not (equal? (ash 1 256) -inf.0))) | |
| 1607 | (pass-if (not (equal? -inf.0 (ash 1 256)))) | |
| 1608 | ||
| 1609 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 1610 | ;; sure we've avoided that | |
| 1611 | (pass-if (not (equal? (ash 1 1024) +inf.0))) | |
| 1612 | (pass-if (not (equal? +inf.0 (ash 1 1024)))) | |
| 1613 | (pass-if (not (equal? (- (ash 1 1024)) -inf.0))) | |
| 1614 | (pass-if (not (equal? -inf.0 (- (ash 1 1024))))) | |
| 1615 | ||
| 1616 | (pass-if (not (equal? +nan.0 +nan.0))) | |
| 1617 | (pass-if (not (equal? 0 +nan.0))) | |
| 1618 | (pass-if (not (equal? +nan.0 0))) | |
| 1619 | (pass-if (not (equal? 1 +nan.0))) | |
| 1620 | (pass-if (not (equal? +nan.0 1))) | |
| 1621 | (pass-if (not (equal? -1 +nan.0))) | |
| 1622 | (pass-if (not (equal? +nan.0 -1))) | |
| 1623 | ||
| 1624 | (pass-if (not (equal? (ash 1 256) +nan.0))) | |
| 1625 | (pass-if (not (equal? +nan.0 (ash 1 256)))) | |
| 1626 | (pass-if (not (equal? (- (ash 1 256)) +nan.0))) | |
| 1627 | (pass-if (not (equal? +nan.0 (- (ash 1 256))))) | |
| 1628 | ||
| 1629 | (pass-if (not (equal? (ash 1 8192) +nan.0))) | |
| 1630 | (pass-if (not (equal? +nan.0 (ash 1 8192)))) | |
| 1631 | (pass-if (not (equal? (- (ash 1 8192)) +nan.0))) | |
| 1632 | (pass-if (not (equal? +nan.0 (- (ash 1 8192))))) | |
| 1633 | ||
| 1634 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 1635 | ;; sure we've avoided that | |
| 1636 | (pass-if (not (equal? (ash 3 1023) +nan.0))) | |
| 1637 | (pass-if (not (equal? +nan.0 (ash 3 1023))))) | |
| 1638 | ||
| f29b3454 DH |
1639 | ;;; |
| 1640 | ;;; = | |
| 1641 | ;;; | |
| 1642 | ||
| 7c24e528 | 1643 | (with-test-prefix "=" |
| 8a1f4f98 | 1644 | (pass-if (documented? =)) |
| 7c24e528 RB |
1645 | (pass-if (= 0 0)) |
| 1646 | (pass-if (= 7 7)) | |
| 1647 | (pass-if (= -7 -7)) | |
| 1648 | (pass-if (= (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
| 47ae1f0e | 1649 | (pass-if (= (- fixnum-min 1) (- fixnum-min 1))) |
| 4d332f19 DH |
1650 | (pass-if (not (= 0 1))) |
| 1651 | (pass-if (not (= fixnum-max (+ 1 fixnum-max)))) | |
| 1652 | (pass-if (not (= (+ 1 fixnum-max) fixnum-max))) | |
| 47ae1f0e | 1653 | (pass-if (not (= (+ 1 fixnum-max) (+ 2 fixnum-max)))) |
| 4d332f19 DH |
1654 | (pass-if (not (= fixnum-min (- fixnum-min 1)))) |
| 1655 | (pass-if (not (= (- fixnum-min 1) fixnum-min))) | |
| 47ae1f0e | 1656 | (pass-if (not (= (- fixnum-min 1) (- fixnum-min 2)))) |
| 4d332f19 | 1657 | (pass-if (not (= (+ fixnum-max 1) (- fixnum-min 1)))) |
| 2cfcaed5 | 1658 | |
| adda36ed KR |
1659 | (pass-if (not (= (ash 1 256) +inf.0))) |
| 1660 | (pass-if (not (= +inf.0 (ash 1 256)))) | |
| 1661 | (pass-if (not (= (ash 1 256) -inf.0))) | |
| 1662 | (pass-if (not (= -inf.0 (ash 1 256)))) | |
| 1663 | ||
| 1664 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 1665 | ;; sure we've avoided that | |
| 1666 | (pass-if (not (= (ash 1 1024) +inf.0))) | |
| 1667 | (pass-if (not (= +inf.0 (ash 1 1024)))) | |
| 1668 | (pass-if (not (= (- (ash 1 1024)) -inf.0))) | |
| 1669 | (pass-if (not (= -inf.0 (- (ash 1 1024))))) | |
| 1670 | ||
| 2cfcaed5 KR |
1671 | (pass-if (not (= +nan.0 +nan.0))) |
| 1672 | (pass-if (not (= 0 +nan.0))) | |
| 1673 | (pass-if (not (= +nan.0 0))) | |
| 1674 | (pass-if (not (= 1 +nan.0))) | |
| 1675 | (pass-if (not (= +nan.0 1))) | |
| 1676 | (pass-if (not (= -1 +nan.0))) | |
| 1677 | (pass-if (not (= +nan.0 -1))) | |
| 1678 | ||
| 1679 | (pass-if (not (= (ash 1 256) +nan.0))) | |
| 1680 | (pass-if (not (= +nan.0 (ash 1 256)))) | |
| 1681 | (pass-if (not (= (- (ash 1 256)) +nan.0))) | |
| 1682 | (pass-if (not (= +nan.0 (- (ash 1 256))))) | |
| 1683 | ||
| 1684 | (pass-if (not (= (ash 1 8192) +nan.0))) | |
| 1685 | (pass-if (not (= +nan.0 (ash 1 8192)))) | |
| 1686 | (pass-if (not (= (- (ash 1 8192)) +nan.0))) | |
| 1687 | (pass-if (not (= +nan.0 (- (ash 1 8192))))) | |
| 1688 | ||
| 1689 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 1690 | ;; sure we've avoided that | |
| 1691 | (pass-if (not (= (ash 3 1023) +nan.0))) | |
| 2a8b5e04 KR |
1692 | (pass-if (not (= +nan.0 (ash 3 1023)))) |
| 1693 | ||
| 1694 | (pass-if (= 1/2 0.5)) | |
| 1695 | (pass-if (not (= 1/3 0.333333333333333333333333333333333))) | |
| 1696 | (pass-if (not (= 2/3 0.5))) | |
| 1697 | (pass-if (not (= 0.5 (+ 1/2 (/ 1 (ash 1 1000)))))) | |
| 1698 | ||
| 1699 | (pass-if (= 1/2 0.5+0i)) | |
| 1700 | (pass-if (not (= 0.333333333333333333333333333333333 1/3))) | |
| 1701 | (pass-if (not (= 2/3 0.5+0i))) | |
| 1702 | (pass-if (not (= 1/2 0+0.5i))) | |
| 1703 | ||
| 1704 | (pass-if (= 0.5 1/2)) | |
| 1705 | (pass-if (not (= 0.5 2/3))) | |
| 1706 | (pass-if (not (= (+ 1/2 (/ 1 (ash 1 1000))) 0.5))) | |
| 1707 | ||
| 1708 | (pass-if (= 0.5+0i 1/2)) | |
| 1709 | (pass-if (not (= 0.5+0i 2/3))) | |
| 6f6847fa KR |
1710 | (pass-if (not (= 0+0.5i 1/2))) |
| 1711 | ||
| 1712 | ;; prior to guile 1.8, inum/flonum comparisons were done just by | |
| 1713 | ;; converting the inum to a double, which on a 64-bit would round making | |
| 1714 | ;; say inexact 2^58 appear equal to exact 2^58+1 | |
| 1715 | (pass-if (= (ash-flo 1.0 58) (ash 1 58))) | |
| 1716 | (pass-if (not (= (ash-flo 1.0 58) (1+ (ash 1 58))))) | |
| 1717 | (pass-if (not (= (ash-flo 1.0 58) (1- (ash 1 58))))) | |
| 1718 | (pass-if (= (ash 1 58) (ash-flo 1.0 58))) | |
| 1719 | (pass-if (not (= (1+ (ash 1 58)) (ash-flo 1.0 58)))) | |
| 1720 | (pass-if (not (= (1- (ash 1 58)) (ash-flo 1.0 58))))) | |
| 7c24e528 | 1721 | |
| de142bea DH |
1722 | ;;; |
| 1723 | ;;; < | |
| 1724 | ;;; | |
| 1725 | ||
| 1726 | (with-test-prefix "<" | |
| 1727 | ||
| 8a1f4f98 | 1728 | (pass-if "documented?" |
| cb18f2a8 | 1729 | (documented? <)) |
| de142bea | 1730 | |
| de142bea DH |
1731 | (with-test-prefix "(< 0 n)" |
| 1732 | ||
| 1733 | (pass-if "n = 0" | |
| 1734 | (not (< 0 0))) | |
| 1735 | ||
| 1736 | (pass-if "n = 0.0" | |
| 1737 | (not (< 0 0.0))) | |
| 1738 | ||
| 1739 | (pass-if "n = 1" | |
| 1740 | (< 0 1)) | |
| 1741 | ||
| 1742 | (pass-if "n = 1.0" | |
| 1743 | (< 0 1.0)) | |
| 1744 | ||
| 1745 | (pass-if "n = -1" | |
| 1746 | (not (< 0 -1))) | |
| 1747 | ||
| 1748 | (pass-if "n = -1.0" | |
| 1749 | (not (< 0 -1.0))) | |
| 1750 | ||
| 21e39e8f DH |
1751 | (pass-if "n = fixnum-max" |
| 1752 | (< 0 fixnum-max)) | |
| 1753 | ||
| 1754 | (pass-if "n = fixnum-max + 1" | |
| 1755 | (< 0 (+ fixnum-max 1))) | |
| 1756 | ||
| 1757 | (pass-if "n = fixnum-min" | |
| 1758 | (not (< 0 fixnum-min))) | |
| de142bea | 1759 | |
| 21e39e8f DH |
1760 | (pass-if "n = fixnum-min - 1" |
| 1761 | (not (< 0 (- fixnum-min 1))))) | |
| 1762 | ||
| de142bea DH |
1763 | (with-test-prefix "(< 0.0 n)" |
| 1764 | ||
| 1765 | (pass-if "n = 0" | |
| 1766 | (not (< 0.0 0))) | |
| 1767 | ||
| 1768 | (pass-if "n = 0.0" | |
| 1769 | (not (< 0.0 0.0))) | |
| 1770 | ||
| 1771 | (pass-if "n = 1" | |
| 1772 | (< 0.0 1)) | |
| 1773 | ||
| 1774 | (pass-if "n = 1.0" | |
| 1775 | (< 0.0 1.0)) | |
| 1776 | ||
| 1777 | (pass-if "n = -1" | |
| 1778 | (not (< 0.0 -1))) | |
| 1779 | ||
| 1780 | (pass-if "n = -1.0" | |
| 1781 | (not (< 0.0 -1.0))) | |
| 1782 | ||
| 21e39e8f DH |
1783 | (pass-if "n = fixnum-max" |
| 1784 | (< 0.0 fixnum-max)) | |
| 1785 | ||
| 1786 | (pass-if "n = fixnum-max + 1" | |
| 1787 | (< 0.0 (+ fixnum-max 1))) | |
| de142bea | 1788 | |
| 21e39e8f DH |
1789 | (pass-if "n = fixnum-min" |
| 1790 | (not (< 0.0 fixnum-min))) | |
| 1791 | ||
| 1792 | (pass-if "n = fixnum-min - 1" | |
| 1793 | (not (< 0.0 (- fixnum-min 1))))) | |
| 1794 | ||
| 1795 | (with-test-prefix "(< 1 n)" | |
| de142bea | 1796 | |
| 21e39e8f | 1797 | (pass-if "n = 0" |
| de142bea DH |
1798 | (not (< 1 0))) |
| 1799 | ||
| 21e39e8f DH |
1800 | (pass-if "n = 0.0" |
| 1801 | (not (< 1 0.0))) | |
| 1802 | ||
| 1803 | (pass-if "n = 1" | |
| 1804 | (not (< 1 1))) | |
| 1805 | ||
| de142bea | 1806 | (pass-if "n = 1.0" |
| 21e39e8f DH |
1807 | (not (< 1 1.0))) |
| 1808 | ||
| 1809 | (pass-if "n = -1" | |
| 1810 | (not (< 1 -1))) | |
| 1811 | ||
| 1812 | (pass-if "n = -1.0" | |
| 1813 | (not (< 1 -1.0))) | |
| 1814 | ||
| 1815 | (pass-if "n = fixnum-max" | |
| 1816 | (< 1 fixnum-max)) | |
| 1817 | ||
| 1818 | (pass-if "n = fixnum-max + 1" | |
| 1819 | (< 1 (+ fixnum-max 1))) | |
| 1820 | ||
| 1821 | (pass-if "n = fixnum-min" | |
| 1822 | (not (< 1 fixnum-min))) | |
| 1823 | ||
| 1824 | (pass-if "n = fixnum-min - 1" | |
| 1825 | (not (< 1 (- fixnum-min 1))))) | |
| 1826 | ||
| 1827 | (with-test-prefix "(< 1.0 n)" | |
| 1828 | ||
| 1829 | (pass-if "n = 0" | |
| de142bea DH |
1830 | (not (< 1.0 0))) |
| 1831 | ||
| 21e39e8f DH |
1832 | (pass-if "n = 0.0" |
| 1833 | (not (< 1.0 0.0))) | |
| 1834 | ||
| 1835 | (pass-if "n = 1" | |
| 1836 | (not (< 1.0 1))) | |
| 1837 | ||
| 1838 | (pass-if "n = 1.0" | |
| 1839 | (not (< 1.0 1.0))) | |
| 1840 | ||
| de142bea | 1841 | (pass-if "n = -1" |
| 21e39e8f DH |
1842 | (not (< 1.0 -1))) |
| 1843 | ||
| 1844 | (pass-if "n = -1.0" | |
| 1845 | (not (< 1.0 -1.0))) | |
| 1846 | ||
| 1847 | (pass-if "n = fixnum-max" | |
| 1848 | (< 1.0 fixnum-max)) | |
| 1849 | ||
| 1850 | (pass-if "n = fixnum-max + 1" | |
| 1851 | (< 1.0 (+ fixnum-max 1))) | |
| 1852 | ||
| 1853 | (pass-if "n = fixnum-min" | |
| 1854 | (not (< 1.0 fixnum-min))) | |
| 1855 | ||
| 1856 | (pass-if "n = fixnum-min - 1" | |
| 1857 | (not (< 1.0 (- fixnum-min 1))))) | |
| 1858 | ||
| 1859 | (with-test-prefix "(< -1 n)" | |
| 1860 | ||
| 1861 | (pass-if "n = 0" | |
| de142bea DH |
1862 | (< -1 0)) |
| 1863 | ||
| 21e39e8f DH |
1864 | (pass-if "n = 0.0" |
| 1865 | (< -1 0.0)) | |
| 1866 | ||
| 1867 | (pass-if "n = 1" | |
| 1868 | (< -1 1)) | |
| 1869 | ||
| 1870 | (pass-if "n = 1.0" | |
| 1871 | (< -1 1.0)) | |
| 1872 | ||
| 1873 | (pass-if "n = -1" | |
| 1874 | (not (< -1 -1))) | |
| 1875 | ||
| de142bea | 1876 | (pass-if "n = -1.0" |
| 21e39e8f DH |
1877 | (not (< -1 -1.0))) |
| 1878 | ||
| 1879 | (pass-if "n = fixnum-max" | |
| 1880 | (< -1 fixnum-max)) | |
| 1881 | ||
| 1882 | (pass-if "n = fixnum-max + 1" | |
| 1883 | (< -1 (+ fixnum-max 1))) | |
| 1884 | ||
| 1885 | (pass-if "n = fixnum-min" | |
| 1886 | (not (< -1 fixnum-min))) | |
| 1887 | ||
| 1888 | (pass-if "n = fixnum-min - 1" | |
| 1889 | (not (< -1 (- fixnum-min 1))))) | |
| 1890 | ||
| 1891 | (with-test-prefix "(< -1.0 n)" | |
| 1892 | ||
| 1893 | (pass-if "n = 0" | |
| de142bea DH |
1894 | (< -1.0 0)) |
| 1895 | ||
| 21e39e8f DH |
1896 | (pass-if "n = 0.0" |
| 1897 | (< -1.0 0.0)) | |
| 1898 | ||
| 1899 | (pass-if "n = 1" | |
| 1900 | (< -1.0 1)) | |
| 1901 | ||
| 1902 | (pass-if "n = 1.0" | |
| 1903 | (< -1.0 1.0)) | |
| 1904 | ||
| 1905 | (pass-if "n = -1" | |
| 1906 | (not (< -1.0 -1))) | |
| 1907 | ||
| 1908 | (pass-if "n = -1.0" | |
| 1909 | (not (< -1.0 -1.0))) | |
| 1910 | ||
| 1911 | (pass-if "n = fixnum-max" | |
| 1912 | (< -1.0 fixnum-max)) | |
| 1913 | ||
| 1914 | (pass-if "n = fixnum-max + 1" | |
| 1915 | (< -1.0 (+ fixnum-max 1))) | |
| de142bea | 1916 | |
| 21e39e8f DH |
1917 | (pass-if "n = fixnum-min" |
| 1918 | (not (< -1.0 fixnum-min))) | |
| 1919 | ||
| 1920 | (pass-if "n = fixnum-min - 1" | |
| 1921 | (not (< -1.0 (- fixnum-min 1))))) | |
| 1922 | ||
| 1923 | (with-test-prefix "(< fixnum-max n)" | |
| 1924 | ||
| 1925 | (pass-if "n = 0" | |
| 1926 | (not (< fixnum-max 0))) | |
| 1927 | ||
| 1928 | (pass-if "n = 0.0" | |
| 1929 | (not (< fixnum-max 0.0))) | |
| de142bea DH |
1930 | |
| 1931 | (pass-if "n = 1" | |
| 21e39e8f | 1932 | (not (< fixnum-max 1))) |
| de142bea DH |
1933 | |
| 1934 | (pass-if "n = 1.0" | |
| 21e39e8f | 1935 | (not (< fixnum-max 1.0))) |
| de142bea DH |
1936 | |
| 1937 | (pass-if "n = -1" | |
| 21e39e8f | 1938 | (not (< fixnum-max -1))) |
| de142bea DH |
1939 | |
| 1940 | (pass-if "n = -1.0" | |
| 21e39e8f | 1941 | (not (< fixnum-max -1.0))) |
| de142bea | 1942 | |
| 21e39e8f DH |
1943 | (pass-if "n = fixnum-max" |
| 1944 | (not (< fixnum-max fixnum-max))) | |
| de142bea | 1945 | |
| 21e39e8f DH |
1946 | (pass-if "n = fixnum-max + 1" |
| 1947 | (< fixnum-max (+ fixnum-max 1))) | |
| 1948 | ||
| 1949 | (pass-if "n = fixnum-min" | |
| 1950 | (not (< fixnum-max fixnum-min))) | |
| 1951 | ||
| 1952 | (pass-if "n = fixnum-min - 1" | |
| 1953 | (not (< fixnum-max (- fixnum-min 1))))) | |
| 1954 | ||
| 1955 | (with-test-prefix "(< (+ fixnum-max 1) n)" | |
| 1956 | ||
| 1957 | (pass-if "n = 0" | |
| 1958 | (not (< (+ fixnum-max 1) 0))) | |
| 1959 | ||
| 1960 | (pass-if "n = 0.0" | |
| 1961 | (not (< (+ fixnum-max 1) 0.0))) | |
| de142bea DH |
1962 | |
| 1963 | (pass-if "n = 1" | |
| 21e39e8f | 1964 | (not (< (+ fixnum-max 1) 1))) |
| de142bea DH |
1965 | |
| 1966 | (pass-if "n = 1.0" | |
| 21e39e8f | 1967 | (not (< (+ fixnum-max 1) 1.0))) |
| de142bea DH |
1968 | |
| 1969 | (pass-if "n = -1" | |
| 21e39e8f | 1970 | (not (< (+ fixnum-max 1) -1))) |
| de142bea DH |
1971 | |
| 1972 | (pass-if "n = -1.0" | |
| 21e39e8f | 1973 | (not (< (+ fixnum-max 1) -1.0))) |
| de142bea | 1974 | |
| 21e39e8f DH |
1975 | (pass-if "n = fixnum-max" |
| 1976 | (not (< (+ fixnum-max 1) fixnum-max))) | |
| de142bea | 1977 | |
| 21e39e8f DH |
1978 | (pass-if "n = fixnum-max + 1" |
| 1979 | (not (< (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| de142bea | 1980 | |
| 21e39e8f DH |
1981 | (pass-if "n = fixnum-min" |
| 1982 | (not (< (+ fixnum-max 1) fixnum-min))) | |
| 1983 | ||
| 1984 | (pass-if "n = fixnum-min - 1" | |
| 1985 | (not (< (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 1986 | ||
| 1987 | (with-test-prefix "(< fixnum-min n)" | |
| 1988 | ||
| 1989 | (pass-if "n = 0" | |
| 1990 | (< fixnum-min 0)) | |
| 1991 | ||
| 1992 | (pass-if "n = 0.0" | |
| 1993 | (< fixnum-min 0.0)) | |
| de142bea DH |
1994 | |
| 1995 | (pass-if "n = 1" | |
| 21e39e8f | 1996 | (< fixnum-min 1)) |
| de142bea DH |
1997 | |
| 1998 | (pass-if "n = 1.0" | |
| 21e39e8f | 1999 | (< fixnum-min 1.0)) |
| de142bea DH |
2000 | |
| 2001 | (pass-if "n = -1" | |
| 21e39e8f | 2002 | (< fixnum-min -1)) |
| de142bea DH |
2003 | |
| 2004 | (pass-if "n = -1.0" | |
| 21e39e8f | 2005 | (< fixnum-min -1.0)) |
| de142bea | 2006 | |
| 21e39e8f DH |
2007 | (pass-if "n = fixnum-max" |
| 2008 | (< fixnum-min fixnum-max)) | |
| 2009 | ||
| 2010 | (pass-if "n = fixnum-max + 1" | |
| 2011 | (< fixnum-min (+ fixnum-max 1))) | |
| de142bea | 2012 | |
| 21e39e8f DH |
2013 | (pass-if "n = fixnum-min" |
| 2014 | (not (< fixnum-min fixnum-min))) | |
| de142bea | 2015 | |
| 21e39e8f DH |
2016 | (pass-if "n = fixnum-min - 1" |
| 2017 | (not (< fixnum-min (- fixnum-min 1))))) | |
| 2018 | ||
| 2019 | (with-test-prefix "(< (- fixnum-min 1) n)" | |
| 2020 | ||
| 2021 | (pass-if "n = 0" | |
| 2022 | (< (- fixnum-min 1) 0)) | |
| 2023 | ||
| 2024 | (pass-if "n = 0.0" | |
| 2025 | (< (- fixnum-min 1) 0.0)) | |
| 2026 | ||
| 2027 | (pass-if "n = 1" | |
| 2028 | (< (- fixnum-min 1) 1)) | |
| 2029 | ||
| 2030 | (pass-if "n = 1.0" | |
| 2031 | (< (- fixnum-min 1) 1.0)) | |
| de142bea DH |
2032 | |
| 2033 | (pass-if "n = -1" | |
| 21e39e8f | 2034 | (< (- fixnum-min 1) -1)) |
| de142bea DH |
2035 | |
| 2036 | (pass-if "n = -1.0" | |
| 21e39e8f DH |
2037 | (< (- fixnum-min 1) -1.0)) |
| 2038 | ||
| 2039 | (pass-if "n = fixnum-max" | |
| 2040 | (< (- fixnum-min 1) fixnum-max)) | |
| 2041 | ||
| 2042 | (pass-if "n = fixnum-max + 1" | |
| 2043 | (< (- fixnum-min 1) (+ fixnum-max 1))) | |
| 2044 | ||
| 2045 | (pass-if "n = fixnum-min" | |
| 2046 | (< (- fixnum-min 1) fixnum-min)) | |
| 2047 | ||
| 2048 | (pass-if "n = fixnum-min - 1" | |
| 2cfcaed5 KR |
2049 | (not (< (- fixnum-min 1) (- fixnum-min 1))))) |
| 2050 | ||
| adda36ed KR |
2051 | (pass-if (< (ash 1 256) +inf.0)) |
| 2052 | (pass-if (not (< +inf.0 (ash 1 256)))) | |
| 2053 | (pass-if (not (< (ash 1 256) -inf.0))) | |
| 2054 | (pass-if (< -inf.0 (ash 1 256))) | |
| 2055 | ||
| 2056 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 2057 | ;; sure we've avoided that | |
| 2058 | (pass-if (< (1- (ash 1 1024)) +inf.0)) | |
| 2059 | (pass-if (< (ash 1 1024) +inf.0)) | |
| 2060 | (pass-if (< (1+ (ash 1 1024)) +inf.0)) | |
| 2061 | (pass-if (not (< +inf.0 (1- (ash 1 1024))))) | |
| 2062 | (pass-if (not (< +inf.0 (ash 1 1024)))) | |
| 2063 | (pass-if (not (< +inf.0 (1+ (ash 1 1024))))) | |
| 2064 | (pass-if (< -inf.0 (- (1- (ash 1 1024))))) | |
| 2065 | (pass-if (< -inf.0 (- (ash 1 1024)))) | |
| 2066 | (pass-if (< -inf.0 (- (1+ (ash 1 1024))))) | |
| 2067 | (pass-if (not (< (- (1- (ash 1 1024))) -inf.0))) | |
| 2068 | (pass-if (not (< (- (ash 1 1024)) -inf.0))) | |
| 2069 | (pass-if (not (< (- (1+ (ash 1 1024))) -inf.0))) | |
| 2070 | ||
| 2cfcaed5 KR |
2071 | (pass-if (not (< +nan.0 +nan.0))) |
| 2072 | (pass-if (not (< 0 +nan.0))) | |
| 2073 | (pass-if (not (< +nan.0 0))) | |
| 2074 | (pass-if (not (< 1 +nan.0))) | |
| 2075 | (pass-if (not (< +nan.0 1))) | |
| 2076 | (pass-if (not (< -1 +nan.0))) | |
| 2077 | (pass-if (not (< +nan.0 -1))) | |
| 2078 | ||
| 2079 | (pass-if (not (< (ash 1 256) +nan.0))) | |
| 2080 | (pass-if (not (< +nan.0 (ash 1 256)))) | |
| 2081 | (pass-if (not (< (- (ash 1 256)) +nan.0))) | |
| 2082 | (pass-if (not (< +nan.0 (- (ash 1 256))))) | |
| 2083 | ||
| 2084 | (pass-if (not (< (ash 1 8192) +nan.0))) | |
| 2085 | (pass-if (not (< +nan.0 (ash 1 8192)))) | |
| 2086 | (pass-if (not (< (- (ash 1 8192)) +nan.0))) | |
| 2087 | (pass-if (not (< +nan.0 (- (ash 1 8192))))) | |
| 2088 | ||
| 2089 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 2090 | ;; sure we've avoided that | |
| 2091 | (pass-if (not (< (ash 3 1023) +nan.0))) | |
| 2092 | (pass-if (not (< (1+ (ash 3 1023)) +nan.0))) | |
| 2093 | (pass-if (not (< (1- (ash 3 1023)) +nan.0))) | |
| 2094 | (pass-if (not (< +nan.0 (ash 3 1023)))) | |
| 2095 | (pass-if (not (< +nan.0 (1+ (ash 3 1023))))) | |
| fe89421e KR |
2096 | (pass-if (not (< +nan.0 (1- (ash 3 1023))))) |
| 2097 | ||
| 2098 | (with-test-prefix "inum/frac" | |
| 2099 | (pass-if (< 2 9/4)) | |
| 2100 | (pass-if (< -2 9/4)) | |
| 2101 | (pass-if (< -2 7/4)) | |
| 2102 | (pass-if (< -2 -7/4)) | |
| 2103 | (pass-if (eq? #f (< 2 7/4))) | |
| 2104 | (pass-if (eq? #f (< 2 -7/4))) | |
| 2105 | (pass-if (eq? #f (< 2 -9/4))) | |
| 2106 | (pass-if (eq? #f (< -2 -9/4)))) | |
| 2107 | ||
| 2108 | (with-test-prefix "bignum/frac" | |
| 2109 | (let ((x (ash 1 2048))) | |
| 2110 | (pass-if (< x (* 4/3 x))) | |
| 2111 | (pass-if (< (- x) (* 4/3 x))) | |
| 2112 | (pass-if (< (- x) (* 2/3 x))) | |
| 2113 | (pass-if (< (- x) (* -2/3 x))) | |
| 2114 | (pass-if (eq? #f (< x (* 2/3 x)))) | |
| 2115 | (pass-if (eq? #f (< x (* -2/3 x)))) | |
| 2116 | (pass-if (eq? #f (< x (* -4/3 x)))) | |
| 2117 | (pass-if (eq? #f (< (- x) (* -4/3 x)))))) | |
| 2118 | ||
| 2119 | (with-test-prefix "flonum/frac" | |
| 2120 | (pass-if (< 0.75 4/3)) | |
| 2121 | (pass-if (< -0.75 4/3)) | |
| 2122 | (pass-if (< -0.75 2/3)) | |
| 2123 | (pass-if (< -0.75 -2/3)) | |
| 2124 | (pass-if (eq? #f (< 0.75 2/3))) | |
| 2125 | (pass-if (eq? #f (< 0.75 -2/3))) | |
| 2126 | (pass-if (eq? #f (< 0.75 -4/3))) | |
| 2127 | (pass-if (eq? #f (< -0.75 -4/3))) | |
| 2128 | ||
| 2129 | (pass-if (< -inf.0 4/3)) | |
| 2130 | (pass-if (< -inf.0 -4/3)) | |
| 2131 | (pass-if (eq? #f (< +inf.0 4/3))) | |
| 2132 | (pass-if (eq? #f (< +inf.0 -4/3))) | |
| 2133 | ||
| 2134 | (pass-if (eq? #f (< +nan.0 4/3))) | |
| 2135 | (pass-if (eq? #f (< +nan.0 -4/3)))) | |
| 2136 | ||
| 2137 | (with-test-prefix "frac/inum" | |
| 2138 | (pass-if (< 7/4 2)) | |
| 2139 | (pass-if (< -7/4 2)) | |
| 2140 | (pass-if (< -9/4 2)) | |
| 2141 | (pass-if (< -9/4 -2)) | |
| 2142 | (pass-if (eq? #f (< 9/4 2))) | |
| 2143 | (pass-if (eq? #f (< 9/4 -2))) | |
| 2144 | (pass-if (eq? #f (< 7/4 -2))) | |
| 2145 | (pass-if (eq? #f (< -7/4 -2)))) | |
| 2146 | ||
| 2147 | (with-test-prefix "frac/bignum" | |
| 2148 | (let ((x (ash 1 2048))) | |
| 2149 | (pass-if (< (* 2/3 x) x)) | |
| 2150 | (pass-if (< (* -2/3 x) x)) | |
| 2151 | (pass-if (< (* -4/3 x) x)) | |
| 2152 | (pass-if (< (* -4/3 x) (- x))) | |
| 2153 | (pass-if (eq? #f (< (* 4/3 x) x))) | |
| 2154 | (pass-if (eq? #f (< (* 4/3 x) (- x)))) | |
| 2155 | (pass-if (eq? #f (< (* 2/3 x) (- x)))) | |
| 2156 | (pass-if (eq? #f (< (* -2/3 x) (- x)))))) | |
| 2157 | ||
| 2158 | (with-test-prefix "frac/flonum" | |
| 2159 | (pass-if (< 2/3 0.75)) | |
| 2160 | (pass-if (< -2/3 0.75)) | |
| 2161 | (pass-if (< -4/3 0.75)) | |
| 2162 | (pass-if (< -4/3 -0.75)) | |
| 2163 | (pass-if (eq? #f (< 4/3 0.75))) | |
| 2164 | (pass-if (eq? #f (< 4/3 -0.75))) | |
| 2165 | (pass-if (eq? #f (< 2/3 -0.75))) | |
| 2166 | (pass-if (eq? #f (< -2/3 -0.75))) | |
| 2167 | ||
| 2168 | (pass-if (< 4/3 +inf.0)) | |
| 2169 | (pass-if (< -4/3 +inf.0)) | |
| 2170 | (pass-if (eq? #f (< 4/3 -inf.0))) | |
| 2171 | (pass-if (eq? #f (< -4/3 -inf.0))) | |
| 2172 | ||
| 2173 | (pass-if (eq? #f (< 4/3 +nan.0))) | |
| 2174 | (pass-if (eq? #f (< -4/3 +nan.0)))) | |
| 2175 | ||
| 2176 | (with-test-prefix "frac/frac" | |
| 2177 | (pass-if (< 2/3 6/7)) | |
| 2178 | (pass-if (< -2/3 6/7)) | |
| 2179 | (pass-if (< -4/3 6/7)) | |
| 2180 | (pass-if (< -4/3 -6/7)) | |
| 2181 | (pass-if (eq? #f (< 4/3 6/7))) | |
| 2182 | (pass-if (eq? #f (< 4/3 -6/7))) | |
| 2183 | (pass-if (eq? #f (< 2/3 -6/7))) | |
| 2184 | (pass-if (eq? #f (< -2/3 -6/7))))) | |
| f29b3454 DH |
2185 | |
| 2186 | ;;; | |
| 2187 | ;;; > | |
| 2188 | ;;; | |
| 2189 | ||
| 7c24e528 RB |
2190 | ;; currently not tested -- implementation is trivial |
| 2191 | ;; (> x y) is implemented as (< y x) | |
| 2192 | ;; FIXME: tests should probably be added in case we change implementation. | |
| 2193 | ||
| f29b3454 DH |
2194 | ;;; |
| 2195 | ;;; <= | |
| 2196 | ;;; | |
| 2197 | ||
| 7c24e528 RB |
2198 | ;; currently not tested -- implementation is trivial |
| 2199 | ;; (<= x y) is implemented as (not (< y x)) | |
| 2200 | ;; FIXME: tests should probably be added in case we change implementation. | |
| 2201 | ||
| f29b3454 DH |
2202 | ;;; |
| 2203 | ;;; >= | |
| 2204 | ;;; | |
| 2205 | ||
| 7c24e528 RB |
2206 | ;; currently not tested -- implementation is trivial |
| 2207 | ;; (>= x y) is implemented as (not (< x y)) | |
| 2208 | ;; FIXME: tests should probably be added in case we change implementation. | |
| 2209 | ||
| f29b3454 DH |
2210 | ;;; |
| 2211 | ;;; zero? | |
| 2212 | ;;; | |
| 2213 | ||
| 7c24e528 RB |
2214 | (with-test-prefix "zero?" |
| 2215 | (expect-fail (documented? zero?)) | |
| 2216 | (pass-if (zero? 0)) | |
| 4d332f19 DH |
2217 | (pass-if (not (zero? 7))) |
| 2218 | (pass-if (not (zero? -7))) | |
| 2219 | (pass-if (not (zero? (+ 1 fixnum-max)))) | |
| 2220 | (pass-if (not (zero? (- 1 fixnum-min)))) | |
| 2221 | (pass-if (not (zero? 1.3))) | |
| 2222 | (pass-if (not (zero? 3.1+4.2i)))) | |
| 7c24e528 | 2223 | |
| f29b3454 DH |
2224 | ;;; |
| 2225 | ;;; positive? | |
| 2226 | ;;; | |
| 2227 | ||
| 7c24e528 RB |
2228 | (with-test-prefix "positive?" |
| 2229 | (expect-fail (documented? positive?)) | |
| 2230 | (pass-if (positive? 1)) | |
| 2231 | (pass-if (positive? (+ fixnum-max 1))) | |
| 2232 | (pass-if (positive? 1.3)) | |
| 4d332f19 DH |
2233 | (pass-if (not (positive? 0))) |
| 2234 | (pass-if (not (positive? -1))) | |
| 2235 | (pass-if (not (positive? (- fixnum-min 1)))) | |
| 2236 | (pass-if (not (positive? -1.3)))) | |
| 7c24e528 | 2237 | |
| f29b3454 DH |
2238 | ;;; |
| 2239 | ;;; negative? | |
| 2240 | ;;; | |
| 2241 | ||
| 7c24e528 RB |
2242 | (with-test-prefix "negative?" |
| 2243 | (expect-fail (documented? negative?)) | |
| 4d332f19 DH |
2244 | (pass-if (not (negative? 1))) |
| 2245 | (pass-if (not (negative? (+ fixnum-max 1)))) | |
| 2246 | (pass-if (not (negative? 1.3))) | |
| 2247 | (pass-if (not (negative? 0))) | |
| 7c24e528 RB |
2248 | (pass-if (negative? -1)) |
| 2249 | (pass-if (negative? (- fixnum-min 1))) | |
| 2250 | (pass-if (negative? -1.3))) | |
| 2251 | ||
| f29b3454 DH |
2252 | ;;; |
| 2253 | ;;; max | |
| 2254 | ;;; | |
| 2255 | ||
| adda36ed | 2256 | (with-test-prefix "max" |
| 593a4c2f KR |
2257 | (pass-if-exception "no args" exception:wrong-num-args |
| 2258 | (max)) | |
| 2259 | ||
| 2260 | (pass-if-exception "one complex" exception:wrong-type-arg | |
| 2261 | (max 1+i)) | |
| 2262 | ||
| 2263 | (pass-if-exception "inum/complex" exception:wrong-type-arg | |
| 2264 | (max 123 1+i)) | |
| 2265 | (pass-if-exception "big/complex" exception:wrong-type-arg | |
| 2266 | (max 9999999999999999999999999999999999999999 1+i)) | |
| 2267 | (pass-if-exception "real/complex" exception:wrong-type-arg | |
| 2268 | (max 123.0 1+i)) | |
| 2269 | (pass-if-exception "frac/complex" exception:wrong-type-arg | |
| 2270 | (max 123/456 1+i)) | |
| 2271 | ||
| 2272 | (pass-if-exception "complex/inum" exception:wrong-type-arg | |
| 2273 | (max 1+i 123)) | |
| 2274 | (pass-if-exception "complex/big" exception:wrong-type-arg | |
| 2275 | (max 1+i 9999999999999999999999999999999999999999)) | |
| 2276 | (pass-if-exception "complex/real" exception:wrong-type-arg | |
| 2277 | (max 1+i 123.0)) | |
| 2278 | (pass-if-exception "complex/frac" exception:wrong-type-arg | |
| 2279 | (max 1+i 123/456)) | |
| 2280 | ||
| adda36ed KR |
2281 | (let ((big*2 (* fixnum-max 2)) |
| 2282 | (big*3 (* fixnum-max 3)) | |
| 2283 | (big*4 (* fixnum-max 4)) | |
| 2284 | (big*5 (* fixnum-max 5))) | |
| 501da403 | 2285 | |
| 2530518e KR |
2286 | (with-test-prefix "inum / frac" |
| 2287 | (pass-if (= 3 (max 3 5/2))) | |
| 2288 | (pass-if (= 5/2 (max 2 5/2)))) | |
| 2289 | ||
| 2290 | (with-test-prefix "frac / inum" | |
| 2291 | (pass-if (= 3 (max 5/2 3))) | |
| 2292 | (pass-if (= 5/2 (max 5/2 2)))) | |
| 2293 | ||
| 23d77957 KR |
2294 | (with-test-prefix "inum / real" |
| 2295 | (pass-if (nan? (max 123 +nan.0)))) | |
| 2296 | ||
| 2297 | (with-test-prefix "real / inum" | |
| 2298 | (pass-if (nan? (max +nan.0 123)))) | |
| 2299 | ||
| 2530518e KR |
2300 | (with-test-prefix "big / frac" |
| 2301 | (pass-if (= big*2 (max big*2 5/2))) | |
| 2302 | (pass-if (= 5/2 (max (- big*2) 5/2)))) | |
| 2303 | ||
| 2304 | (with-test-prefix "frac / big" | |
| 2305 | (pass-if (= big*2 (max 5/2 big*2))) | |
| 2306 | (pass-if (= 5/2 (max 5/2 (- big*2))))) | |
| 2307 | ||
| 23d77957 KR |
2308 | (with-test-prefix "big / real" |
| 2309 | (pass-if (nan? (max big*5 +nan.0))) | |
| 23d72566 KR |
2310 | (pass-if (eqv? (exact->inexact big*5) (max big*5 -inf.0))) |
| 2311 | (pass-if (eqv? (exact->inexact big*5) (max big*5 1.0))) | |
| 2312 | (pass-if (eqv? +inf.0 (max big*5 +inf.0))) | |
| 2313 | (pass-if (eqv? 1.0 (max (- big*5) 1.0)))) | |
| 23d77957 KR |
2314 | |
| 2315 | (with-test-prefix "real / big" | |
| 2316 | (pass-if (nan? (max +nan.0 big*5))) | |
| 23d72566 KR |
2317 | (pass-if (eqv? (exact->inexact big*5) (max -inf.0 big*5))) |
| 2318 | (pass-if (eqv? (exact->inexact big*5) (max 1.0 big*5))) | |
| 2319 | (pass-if (eqv? +inf.0 (max +inf.0 big*5))) | |
| 2320 | (pass-if (eqv? 1.0 (max 1.0 (- big*5))))) | |
| 23d77957 | 2321 | |
| 2530518e KR |
2322 | (with-test-prefix "frac / frac" |
| 2323 | (pass-if (= 2/3 (max 1/2 2/3))) | |
| 2324 | (pass-if (= 2/3 (max 2/3 1/2))) | |
| 2325 | (pass-if (= -1/2 (max -1/2 -2/3))) | |
| 2326 | (pass-if (= -1/2 (max -2/3 -1/2)))) | |
| 2327 | ||
| 23d77957 KR |
2328 | (with-test-prefix "real / real" |
| 2329 | (pass-if (nan? (max 123.0 +nan.0))) | |
| 2330 | (pass-if (nan? (max +nan.0 123.0))) | |
| 2331 | (pass-if (nan? (max +nan.0 +nan.0))) | |
| 2332 | (pass-if (= 456.0 (max 123.0 456.0))) | |
| 2333 | (pass-if (= 456.0 (max 456.0 123.0))))) | |
| adda36ed KR |
2334 | |
| 2335 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 2336 | ;; sure we've avoided that | |
| 2337 | (for-each (lambda (b) | |
| 2338 | (pass-if (list b +inf.0) | |
| 2339 | (= +inf.0 (max b +inf.0))) | |
| 2340 | (pass-if (list +inf.0 b) | |
| 2341 | (= +inf.0 (max b +inf.0))) | |
| 2342 | (pass-if (list b -inf.0) | |
| 23d77957 | 2343 | (= (exact->inexact b) (max b -inf.0))) |
| adda36ed | 2344 | (pass-if (list -inf.0 b) |
| 23d77957 | 2345 | (= (exact->inexact b) (max b -inf.0)))) |
| adda36ed KR |
2346 | (list (1- (ash 1 1024)) |
| 2347 | (ash 1 1024) | |
| 2348 | (1+ (ash 1 1024)) | |
| 2349 | (- (1- (ash 1 1024))) | |
| 2350 | (- (ash 1 1024)) | |
| 501da403 KR |
2351 | (- (1+ (ash 1 1024))))) |
| 2352 | ||
| 2353 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 2354 | ;; sure we've avoided that | |
| 2355 | (pass-if (nan? (max (ash 1 2048) +nan.0))) | |
| 2356 | (pass-if (nan? (max +nan.0 (ash 1 2048))))) | |
| adda36ed | 2357 | |
| f29b3454 DH |
2358 | ;;; |
| 2359 | ;;; min | |
| 2360 | ;;; | |
| 2361 | ||
| 7c24e528 RB |
2362 | ;; FIXME: unfinished... |
| 2363 | ||
| 2364 | (with-test-prefix "min" | |
| 593a4c2f KR |
2365 | (pass-if-exception "no args" exception:wrong-num-args |
| 2366 | (min)) | |
| 2367 | ||
| 2368 | (pass-if-exception "one complex" exception:wrong-type-arg | |
| 2369 | (min 1+i)) | |
| 2370 | ||
| 2371 | (pass-if-exception "inum/complex" exception:wrong-type-arg | |
| 2372 | (min 123 1+i)) | |
| 2373 | (pass-if-exception "big/complex" exception:wrong-type-arg | |
| 2374 | (min 9999999999999999999999999999999999999999 1+i)) | |
| 2375 | (pass-if-exception "real/complex" exception:wrong-type-arg | |
| 2376 | (min 123.0 1+i)) | |
| 2377 | (pass-if-exception "frac/complex" exception:wrong-type-arg | |
| 2378 | (min 123/456 1+i)) | |
| 2379 | ||
| 2380 | (pass-if-exception "complex/inum" exception:wrong-type-arg | |
| 2381 | (min 1+i 123)) | |
| 2382 | (pass-if-exception "complex/big" exception:wrong-type-arg | |
| 2383 | (min 1+i 9999999999999999999999999999999999999999)) | |
| 2384 | (pass-if-exception "complex/real" exception:wrong-type-arg | |
| 2385 | (min 1+i 123.0)) | |
| 2386 | (pass-if-exception "complex/frac" exception:wrong-type-arg | |
| 2387 | (min 1+i 123/456)) | |
| 2388 | ||
| 7c24e528 RB |
2389 | (let ((big*2 (* fixnum-max 2)) |
| 2390 | (big*3 (* fixnum-max 3)) | |
| 2391 | (big*4 (* fixnum-max 4)) | |
| 2392 | (big*5 (* fixnum-max 5))) | |
| 23d77957 | 2393 | |
| d389e966 | 2394 | (pass-if (documented? min)) |
| 7c24e528 RB |
2395 | (pass-if (= 1 (min 7 3 1 5))) |
| 2396 | (pass-if (= 1 (min 1 7 3 5))) | |
| 2397 | (pass-if (= 1 (min 7 3 5 1))) | |
| 2398 | (pass-if (= -7 (min 2 3 4 -2 5 -7 1 -1 4 2))) | |
| 2399 | (pass-if (= -7 (min -7 2 3 4 -2 5 1 -1 4 2))) | |
| 2400 | (pass-if (= -7 (min 2 3 4 -2 5 1 -1 4 2 -7))) | |
| 2401 | (pass-if (= big*2 (min big*3 big*5 big*2 big*4))) | |
| 2402 | (pass-if (= big*2 (min big*2 big*3 big*5 big*4))) | |
| 2403 | (pass-if (= big*2 (min big*3 big*5 big*4 big*2))) | |
| 2404 | (pass-if | |
| 2405 | (= (- fixnum-min 1) (min 2 4 (- fixnum-min 1) 3 (* 2 fixnum-max)))) | |
| 2406 | (pass-if | |
| 2407 | (= (- fixnum-min 1) (min (- fixnum-min 1) 2 4 3 (* 2 fixnum-max)))) | |
| 2408 | (pass-if | |
| adda36ed | 2409 | (= (- fixnum-min 1) (min 2 4 3 (* 2 fixnum-max) (- fixnum-min 1)))) |
| 23d77957 | 2410 | |
| 2530518e KR |
2411 | (with-test-prefix "inum / frac" |
| 2412 | (pass-if (= 5/2 (min 3 5/2))) | |
| 2413 | (pass-if (= 2 (min 2 5/2)))) | |
| 2414 | ||
| 2415 | (with-test-prefix "frac / inum" | |
| 2416 | (pass-if (= 5/2 (min 5/2 3))) | |
| 2417 | (pass-if (= 2 (min 5/2 2)))) | |
| 2418 | ||
| 23d77957 KR |
2419 | (with-test-prefix "inum / real" |
| 2420 | (pass-if (nan? (min 123 +nan.0)))) | |
| 2421 | ||
| 2422 | (with-test-prefix "real / inum" | |
| 2423 | (pass-if (nan? (min +nan.0 123)))) | |
| 2424 | ||
| 2530518e KR |
2425 | (with-test-prefix "big / frac" |
| 2426 | (pass-if (= 5/2 (min big*2 5/2))) | |
| 2427 | (pass-if (= (- big*2) (min (- big*2) 5/2)))) | |
| 2428 | ||
| 2429 | (with-test-prefix "frac / big" | |
| 2430 | (pass-if (= 5/2 (min 5/2 big*2))) | |
| 2431 | (pass-if (= (- big*2) (min 5/2 (- big*2))))) | |
| 2432 | ||
| 23d77957 KR |
2433 | (with-test-prefix "big / real" |
| 2434 | (pass-if (nan? (min big*5 +nan.0))) | |
| 23d72566 KR |
2435 | (pass-if (eqv? (exact->inexact big*5) (min big*5 +inf.0))) |
| 2436 | (pass-if (eqv? -inf.0 (min big*5 -inf.0))) | |
| 2437 | (pass-if (eqv? 1.0 (min big*5 1.0))) | |
| 2438 | (pass-if (eqv? (exact->inexact (- big*5)) (min (- big*5) 1.0)))) | |
| 23d77957 KR |
2439 | |
| 2440 | (with-test-prefix "real / big" | |
| 2441 | (pass-if (nan? (min +nan.0 big*5))) | |
| 23d72566 KR |
2442 | (pass-if (eqv? (exact->inexact big*5) (min +inf.0 big*5))) |
| 2443 | (pass-if (eqv? -inf.0 (min -inf.0 big*5))) | |
| 2444 | (pass-if (eqv? 1.0 (min 1.0 big*5))) | |
| 2445 | (pass-if (eqv? (exact->inexact (- big*5)) (min 1.0 (- big*5))))) | |
| 23d77957 | 2446 | |
| 2530518e KR |
2447 | (with-test-prefix "frac / frac" |
| 2448 | (pass-if (= 1/2 (min 1/2 2/3))) | |
| 2449 | (pass-if (= 1/2 (min 2/3 1/2))) | |
| 2450 | (pass-if (= -2/3 (min -1/2 -2/3))) | |
| 2451 | (pass-if (= -2/3 (min -2/3 -1/2)))) | |
| 2452 | ||
| 23d77957 KR |
2453 | (with-test-prefix "real / real" |
| 2454 | (pass-if (nan? (min 123.0 +nan.0))) | |
| 2455 | (pass-if (nan? (min +nan.0 123.0))) | |
| 2456 | (pass-if (nan? (min +nan.0 +nan.0))) | |
| 2457 | (pass-if (= 123.0 (min 123.0 456.0))) | |
| 2458 | (pass-if (= 123.0 (min 456.0 123.0))))) | |
| 2459 | ||
| 2460 | ||
| adda36ed KR |
2461 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make |
| 2462 | ;; sure we've avoided that | |
| 2463 | (for-each (lambda (b) | |
| 2464 | (pass-if (list b +inf.0) | |
| 23d77957 | 2465 | (= (exact->inexact b) (min b +inf.0))) |
| adda36ed | 2466 | (pass-if (list +inf.0 b) |
| 23d77957 | 2467 | (= (exact->inexact b) (min b +inf.0))) |
| adda36ed KR |
2468 | (pass-if (list b -inf.0) |
| 2469 | (= -inf.0 (min b -inf.0))) | |
| 2470 | (pass-if (list -inf.0 b) | |
| 2471 | (= -inf.0 (min b -inf.0)))) | |
| 2472 | (list (1- (ash 1 1024)) | |
| 2473 | (ash 1 1024) | |
| 2474 | (1+ (ash 1 1024)) | |
| 2475 | (- (1- (ash 1 1024))) | |
| 2476 | (- (ash 1 1024)) | |
| 501da403 KR |
2477 | (- (1+ (ash 1 1024))))) |
| 2478 | ||
| 2479 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 2480 | ;; sure we've avoided that | |
| 2481 | (pass-if (nan? (min (- (ash 1 2048)) (- +nan.0)))) | |
| 2482 | (pass-if (nan? (min (- +nan.0) (- (ash 1 2048)))))) | |
| adda36ed | 2483 | |
| f29b3454 DH |
2484 | ;;; |
| 2485 | ;;; + | |
| 2486 | ;;; | |
| 2487 | ||
| 0c57673a | 2488 | (with-test-prefix/c&e "+" |
| f29b3454 | 2489 | |
| d389e966 | 2490 | (pass-if "documented?" |
| 0c57673a LC |
2491 | (documented? +)) |
| 2492 | ||
| 2493 | ;; The maximum fixnum on a 32-bit architecture: 2^29 - 1. | |
| 2494 | (pass-if "fixnum + fixnum = bignum (32-bit)" | |
| 2495 | (eqv? 536870912 (+ 536870910 2))) | |
| 2496 | ||
| 2497 | ;; The maximum fixnum on a 64-bit architecture: 2^61 - 1. | |
| 2498 | (pass-if "fixnum + fixnum = bignum (64-bit)" | |
| 2499 | (eqv? 2305843009213693952 (+ 2305843009213693950 2))) | |
| 2500 | ||
| 2501 | (pass-if "bignum + fixnum = fixnum" | |
| 2502 | (eqv? 0 (+ (1+ most-positive-fixnum) most-negative-fixnum)))) | |
| f29b3454 | 2503 | |
| f29b3454 DH |
2504 | ;;; |
| 2505 | ;;; - | |
| 2506 | ;;; | |
| 2507 | ||
| 0c57673a | 2508 | (with-test-prefix/c&e "-" |
| 072e6de2 KR |
2509 | |
| 2510 | (pass-if "-inum - +bignum" | |
| 2511 | (= #x-100000000000000000000000000000001 | |
| ef016629 KR |
2512 | (- -1 #x100000000000000000000000000000000))) |
| 2513 | ||
| 2514 | (pass-if "big - inum" | |
| 2515 | (= #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | |
| 2516 | (- #x100000000000000000000000000000000 1))) | |
| 2517 | ||
| 2518 | (pass-if "big - -inum" | |
| 2519 | (= #x100000000000000000000000000000001 | |
| 0c57673a LC |
2520 | (- #x100000000000000000000000000000000 -1))) |
| 2521 | ||
| 2522 | ;; The mininum fixnum on a 32-bit architecture: -2^29. | |
| 2523 | (pass-if "fixnum - fixnum = bignum (32-bit)" | |
| 2524 | (eqv? -536870912 (- -536870910 2))) | |
| 2525 | ||
| 2526 | ;; The minimum fixnum on a 64-bit architecture: -2^61. | |
| 2527 | (pass-if "fixnum - fixnum = bignum (64-bit)" | |
| 2528 | (eqv? -2305843009213693952 (- -2305843009213693950 2))) | |
| 2529 | ||
| 2530 | (pass-if "bignum - fixnum = fixnum" | |
| 2531 | (eqv? most-positive-fixnum (- (1+ most-positive-fixnum) 1)))) | |
| 072e6de2 | 2532 | |
| f29b3454 DH |
2533 | ;;; |
| 2534 | ;;; * | |
| 2535 | ;;; | |
| 2536 | ||
| 65ea251e KR |
2537 | (with-test-prefix "*" |
| 2538 | ||
| 23d72566 KR |
2539 | (with-test-prefix "inum * bignum" |
| 2540 | ||
| 2541 | (pass-if "0 * 2^256 = 0" | |
| 2542 | (eqv? 0 (* 0 (ash 1 256))))) | |
| 2543 | ||
| 2544 | (with-test-prefix "inum * flonum" | |
| 2545 | ||
| 2546 | (pass-if "0 * 1.0 = 0" | |
| 2547 | (eqv? 0 (* 0 1.0)))) | |
| 2548 | ||
| 2549 | (with-test-prefix "inum * complex" | |
| 2550 | ||
| 2551 | (pass-if "0 * 1+1i = 0" | |
| 2552 | (eqv? 0 (* 0 1+1i)))) | |
| 2553 | ||
| 2554 | (with-test-prefix "inum * frac" | |
| 2555 | ||
| 2556 | (pass-if "0 * 2/3 = 0" | |
| 2557 | (eqv? 0 (* 0 2/3)))) | |
| 2558 | ||
| 2559 | (with-test-prefix "bignum * inum" | |
| 2560 | ||
| 2561 | (pass-if "2^256 * 0 = 0" | |
| 2562 | (eqv? 0 (* (ash 1 256) 0)))) | |
| 2563 | ||
| 2564 | (with-test-prefix "flonum * inum" | |
| 2565 | ||
| 2566 | ;; in guile 1.6.8 and 1.8.1 and earlier this returned inexact 0.0 | |
| 2567 | (pass-if "1.0 * 0 = 0" | |
| 2568 | (eqv? 0 (* 1.0 0)))) | |
| 2569 | ||
| 2570 | (with-test-prefix "complex * inum" | |
| 2571 | ||
| 2572 | ;; in guile 1.6.8 and 1.8.1 and earlier this returned inexact 0.0 | |
| 2573 | (pass-if "1+1i * 0 = 0" | |
| 2574 | (eqv? 0 (* 1+1i 0)))) | |
| 2575 | ||
| 65ea251e KR |
2576 | (pass-if "complex * bignum" |
| 2577 | (let ((big (ash 1 90))) | |
| 2578 | (= (make-rectangular big big) | |
| 23d72566 KR |
2579 | (* 1+1i big)))) |
| 2580 | ||
| 2581 | (with-test-prefix "frac * inum" | |
| 2582 | ||
| 2583 | (pass-if "2/3 * 0 = 0" | |
| 2584 | (eqv? 0 (* 2/3 0))))) | |
| 65ea251e | 2585 | |
| f29b3454 DH |
2586 | ;;; |
| 2587 | ;;; / | |
| 2588 | ;;; | |
| 2589 | ||
| 1b3a7932 DH |
2590 | (with-test-prefix "/" |
| 2591 | ||
| d389e966 | 2592 | (pass-if "documented?" |
| 1b3a7932 DH |
2593 | (documented? /)) |
| 2594 | ||
| 2595 | (with-test-prefix "division by zero" | |
| 2596 | ||
| 2597 | (pass-if-exception "(/ 0)" | |
| 2f359170 | 2598 | exception:numerical-overflow |
| 1b3a7932 DH |
2599 | (/ 0)) |
| 2600 | ||
| cdf52e3d MV |
2601 | (pass-if "(/ 0.0)" |
| 2602 | (= +inf.0 (/ 0.0))) | |
| 80074d77 | 2603 | |
| 1b3a7932 | 2604 | (pass-if-exception "(/ 1 0)" |
| 2f359170 | 2605 | exception:numerical-overflow |
| 80074d77 DH |
2606 | (/ 1 0)) |
| 2607 | ||
| cdf52e3d MV |
2608 | (pass-if "(/ 1 0.0)" |
| 2609 | (= +inf.0 (/ 1 0.0))) | |
| 80074d77 DH |
2610 | |
| 2611 | (pass-if-exception "(/ bignum 0)" | |
| 2f359170 | 2612 | exception:numerical-overflow |
| 80074d77 DH |
2613 | (/ (+ fixnum-max 1) 0)) |
| 2614 | ||
| cdf52e3d MV |
2615 | (pass-if "(/ bignum 0.0)" |
| 2616 | (= +inf.0 (/ (+ fixnum-max 1) 0.0))) | |
| 80074d77 DH |
2617 | |
| 2618 | (pass-if-exception "(/ 1.0 0)" | |
| 2f359170 | 2619 | exception:numerical-overflow |
| 80074d77 DH |
2620 | (/ 1.0 0)) |
| 2621 | ||
| cdf52e3d MV |
2622 | (pass-if "(/ 1.0 0.0)" |
| 2623 | (= +inf.0 (/ 1.0 0.0))) | |
| 80074d77 DH |
2624 | |
| 2625 | (pass-if-exception "(/ +i 0)" | |
| 2f359170 | 2626 | exception:numerical-overflow |
| 80074d77 DH |
2627 | (/ +i 0)) |
| 2628 | ||
| cdf52e3d MV |
2629 | (pass-if "(/ +i 0.0)" |
| 2630 | (= +inf.0 (imag-part (/ +i 0.0))))) | |
| 469b963c | 2631 | |
| 2f359170 KR |
2632 | (with-test-prefix "1/complex" |
| 2633 | ||
| 2634 | (pass-if "0+1i" | |
| 2635 | (eqv? 0-1i (/ 0+1i))) | |
| 2636 | ||
| 2637 | ;; in guile 1.6 through 1.6.7 this incorrectly resulted in nans | |
| 2638 | (pass-if "0-1i" | |
| 2639 | (eqv? 0+1i (/ 0-1i))) | |
| 2640 | ||
| 2641 | (pass-if "1+1i" | |
| 2642 | (eqv? 0.5-0.5i (/ 1+1i))) | |
| 2643 | ||
| 2644 | (pass-if "1-1i" | |
| 2645 | (eqv? 0.5+0.5i (/ 1-1i))) | |
| 2646 | ||
| 2647 | (pass-if "-1+1i" | |
| 2648 | (eqv? -0.5-0.5i (/ -1+1i))) | |
| 2649 | ||
| 2650 | (pass-if "-1-1i" | |
| 2651 | (eqv? -0.5+0.5i (/ -1-1i))) | |
| 469b963c MV |
2652 | |
| 2653 | (pass-if "(/ 3+4i)" | |
| 2654 | (= (/ 3+4i) 0.12-0.16i)) | |
| 2655 | ||
| 2656 | (pass-if "(/ 4+3i)" | |
| 2657 | (= (/ 4+3i) 0.16-0.12i)) | |
| 2658 | ||
| 2f359170 KR |
2659 | (pass-if "(/ 1e200+1e200i)" |
| 2660 | (= (/ 1e200+1e200i) 5.0e-201-5.0e-201i))) | |
| 469b963c | 2661 | |
| 2f359170 | 2662 | (with-test-prefix "inum/complex" |
| 469b963c MV |
2663 | |
| 2664 | (pass-if "(/ 25 3+4i)" | |
| 2665 | (= (/ 25 3+4i) 3.0-4.0i)) | |
| 2666 | ||
| 2667 | (pass-if "(/ 25 4+3i)" | |
| 2f359170 | 2668 | (= (/ 25 4+3i) 4.0-3.0i))) |
| 469b963c | 2669 | |
| 2f359170 KR |
2670 | (with-test-prefix "complex/complex" |
| 2671 | ||
| 2672 | (pass-if "(/ 25+125i 3+4i)" | |
| 2673 | (= (/ 25+125i 3+4i) 23.0+11.0i)) | |
| 2674 | ||
| 2675 | (pass-if "(/ 25+125i 4+3i)" | |
| 2676 | (= (/ 25+125i 4+3i) 19.0+17.0i)))) | |
| 1b3a7932 | 2677 | |
| f29b3454 DH |
2678 | ;;; |
| 2679 | ;;; truncate | |
| 2680 | ;;; | |
| 2681 | ||
| 14a6784c KR |
2682 | (with-test-prefix "truncate" |
| 2683 | (pass-if (= 1 (truncate 1.75))) | |
| 2684 | (pass-if (= 1 (truncate 1.5))) | |
| 2685 | (pass-if (= 1 (truncate 1.25))) | |
| 2686 | (pass-if (= 0 (truncate 0.75))) | |
| 2687 | (pass-if (= 0 (truncate 0.5))) | |
| 2688 | (pass-if (= 0 (truncate 0.0))) | |
| 2689 | (pass-if (= 0 (truncate -0.5))) | |
| 2690 | (pass-if (= -1 (truncate -1.25))) | |
| 2691 | (pass-if (= -1 (truncate -1.5)))) | |
| 2692 | ||
| f29b3454 DH |
2693 | ;;; |
| 2694 | ;;; round | |
| 2695 | ;;; | |
| 2696 | ||
| 14a6784c KR |
2697 | (with-test-prefix "round" |
| 2698 | (pass-if (= 2 (round 1.75))) | |
| 2699 | (pass-if (= 2 (round 1.5))) | |
| 2700 | (pass-if (= 1 (round 1.25))) | |
| 2701 | (pass-if (= 1 (round 0.75))) | |
| 2702 | (pass-if (= 0 (round 0.5))) | |
| 2703 | (pass-if (= 0 (round 0.0))) | |
| 2704 | (pass-if (= 0 (round -0.5))) | |
| 2705 | (pass-if (= -1 (round -1.25))) | |
| abff733b KR |
2706 | (pass-if (= -2 (round -1.5))) |
| 2707 | ||
| 2708 | (with-test-prefix "inum" | |
| 2709 | (pass-if "0" | |
| 2710 | (and (= 0 (round 0)) | |
| 2711 | (exact? (round 0)))) | |
| 2712 | ||
| 2713 | (pass-if "1" | |
| 2714 | (and (= 1 (round 1)) | |
| 2715 | (exact? (round 1)))) | |
| 2716 | ||
| 2717 | (pass-if "-1" | |
| 2718 | (and (= -1 (round -1)) | |
| 2719 | (exact? (round -1))))) | |
| 2720 | ||
| 2721 | (with-test-prefix "bignum" | |
| 2722 | (let ((x (1+ most-positive-fixnum))) | |
| 2723 | (pass-if "(1+ most-positive-fixnum)" | |
| 2724 | (and (= x (round x)) | |
| 2725 | (exact? (round x))))) | |
| 2726 | ||
| 2727 | (let ((x (1- most-negative-fixnum))) | |
| 2728 | (pass-if "(1- most-negative-fixnum)" | |
| 2729 | (and (= x (round x)) | |
| 2730 | (exact? (round x)))))) | |
| 2731 | ||
| 6203b5f5 KR |
2732 | (with-test-prefix "frac" |
| 2733 | (define (=exact x y) | |
| 2734 | (and (= x y) | |
| 2735 | (exact? y))) | |
| 2736 | ||
| 2737 | (pass-if (=exact -2 (round -7/3))) | |
| 2738 | (pass-if (=exact -2 (round -5/3))) | |
| 2739 | (pass-if (=exact -1 (round -4/3))) | |
| 2740 | (pass-if (=exact -1 (round -2/3))) | |
| 2741 | (pass-if (=exact 0 (round -1/3))) | |
| 2742 | (pass-if (=exact 0 (round 1/3))) | |
| 2743 | (pass-if (=exact 1 (round 2/3))) | |
| 2744 | (pass-if (=exact 1 (round 4/3))) | |
| 2745 | (pass-if (=exact 2 (round 5/3))) | |
| 2746 | (pass-if (=exact 2 (round 7/3))) | |
| 2747 | ||
| 2748 | (pass-if (=exact -3 (round -17/6))) | |
| 2749 | (pass-if (=exact -3 (round -16/6))) | |
| 2750 | (pass-if (=exact -2 (round -15/6))) | |
| 2751 | (pass-if (=exact -2 (round -14/6))) | |
| 2752 | (pass-if (=exact -2 (round -13/6))) | |
| 2753 | (pass-if (=exact -2 (round -11/6))) | |
| 2754 | (pass-if (=exact -2 (round -10/6))) | |
| 2755 | (pass-if (=exact -2 (round -9/6))) | |
| 2756 | (pass-if (=exact -1 (round -8/6))) | |
| 2757 | (pass-if (=exact -1 (round -7/6))) | |
| 2758 | (pass-if (=exact -1 (round -5/6))) | |
| 2759 | (pass-if (=exact -1 (round -4/6))) | |
| 2760 | (pass-if (=exact 0 (round -3/6))) | |
| 2761 | (pass-if (=exact 0 (round -2/6))) | |
| 2762 | (pass-if (=exact 0 (round -1/6))) | |
| 2763 | (pass-if (=exact 0 (round 1/6))) | |
| 2764 | (pass-if (=exact 0 (round 2/6))) | |
| 2765 | (pass-if (=exact 0 (round 3/6))) | |
| 2766 | (pass-if (=exact 1 (round 4/6))) | |
| 2767 | (pass-if (=exact 1 (round 5/6))) | |
| 2768 | (pass-if (=exact 1 (round 7/6))) | |
| 2769 | (pass-if (=exact 1 (round 8/6))) | |
| 2770 | (pass-if (=exact 2 (round 9/6))) | |
| 2771 | (pass-if (=exact 2 (round 10/6))) | |
| 2772 | (pass-if (=exact 2 (round 11/6))) | |
| 2773 | (pass-if (=exact 2 (round 13/6))) | |
| 2774 | (pass-if (=exact 2 (round 14/6))) | |
| 2775 | (pass-if (=exact 2 (round 15/6))) | |
| 2776 | (pass-if (=exact 3 (round 16/6))) | |
| 2777 | (pass-if (=exact 3 (round 17/6)))) | |
| 2778 | ||
| abff733b KR |
2779 | (with-test-prefix "real" |
| 2780 | (pass-if "0.0" | |
| 2781 | (and (= 0.0 (round 0.0)) | |
| 2782 | (inexact? (round 0.0)))) | |
| 2783 | ||
| 2784 | (pass-if "1.0" | |
| 2785 | (and (= 1.0 (round 1.0)) | |
| 2786 | (inexact? (round 1.0)))) | |
| 2787 | ||
| 2788 | (pass-if "-1.0" | |
| 2789 | (and (= -1.0 (round -1.0)) | |
| 2790 | (inexact? (round -1.0)))) | |
| 2791 | ||
| 2792 | (pass-if "-3.1" | |
| 2793 | (and (= -3.0 (round -3.1)) | |
| 2794 | (inexact? (round -3.1)))) | |
| 2795 | ||
| 2796 | (pass-if "3.1" | |
| 2797 | (and (= 3.0 (round 3.1)) | |
| 2798 | (inexact? (round 3.1)))) | |
| 2799 | ||
| 2800 | (pass-if "3.9" | |
| 2801 | (and (= 4.0 (round 3.9)) | |
| 2802 | (inexact? (round 3.9)))) | |
| 2803 | ||
| 2804 | (pass-if "-3.9" | |
| 2805 | (and (= -4.0 (round -3.9)) | |
| 2806 | (inexact? (round -3.9)))) | |
| 2807 | ||
| 2808 | (pass-if "1.5" | |
| 2809 | (and (= 2.0 (round 1.5)) | |
| 2810 | (inexact? (round 1.5)))) | |
| 2811 | ||
| 2812 | (pass-if "2.5" | |
| 2813 | (and (= 2.0 (round 2.5)) | |
| 2814 | (inexact? (round 2.5)))) | |
| 2815 | ||
| 2816 | (pass-if "3.5" | |
| 2817 | (and (= 4.0 (round 3.5)) | |
| 2818 | (inexact? (round 3.5)))) | |
| 2819 | ||
| 2820 | (pass-if "-1.5" | |
| 2821 | (and (= -2.0 (round -1.5)) | |
| 2822 | (inexact? (round -1.5)))) | |
| 2823 | ||
| 2824 | (pass-if "-2.5" | |
| 2825 | (and (= -2.0 (round -2.5)) | |
| 2826 | (inexact? (round -2.5)))) | |
| 2827 | ||
| 2828 | (pass-if "-3.5" | |
| 2829 | (and (= -4.0 (round -3.5)) | |
| 2830 | (inexact? (round -3.5)))) | |
| 2831 | ||
| 2832 | ;; prior to guile 1.6.5, on an IEEE system an inexact 2^53-1 (ie. a | |
| 2833 | ;; float with mantissa all ones) came out as 2^53 from `round' (except | |
| 2834 | ;; on i386 and m68k systems using the coprocessor and optimizing, where | |
| 2835 | ;; extra precision hid the problem) | |
| 2836 | (pass-if "2^53-1" | |
| 2837 | (let ((x (exact->inexact (1- (ash 1 53))))) | |
| 2838 | (and (= x (round x)) | |
| 2839 | (inexact? (round x))))) | |
| 2840 | (pass-if "-(2^53-1)" | |
| 2841 | (let ((x (exact->inexact (- (1- (ash 1 53)))))) | |
| 2842 | (and (= x (round x)) | |
| 2843 | (inexact? (round x))))))) | |
| 14a6784c | 2844 | |
| f29b3454 DH |
2845 | ;;; |
| 2846 | ;;; exact->inexact | |
| 2847 | ;;; | |
| 2848 | ||
| a1fb3b1c KR |
2849 | (with-test-prefix "exact->inexact" |
| 2850 | ||
| 2851 | ;; Test "(exact->inexact n)", expect "want". | |
| 2852 | ;; "i" is a index, for diagnostic purposes. | |
| 2853 | (define (try-i i n want) | |
| 2854 | (with-test-prefix (list i n want) | |
| 2855 | (with-test-prefix "pos" | |
| 2856 | (let ((got (exact->inexact n))) | |
| 2857 | (pass-if "inexact?" (inexact? got)) | |
| 2858 | (pass-if (list "=" got) (= want got)))) | |
| 2859 | (set! n (- n)) | |
| 2860 | (set! want (- want)) | |
| 2861 | (with-test-prefix "neg" | |
| 2862 | (let ((got (exact->inexact n))) | |
| 2863 | (pass-if "inexact?" (inexact? got)) | |
| 2864 | (pass-if (list "=" got) (= want got)))))) | |
| 2865 | ||
| 2866 | (with-test-prefix "2^i, no round" | |
| 2867 | (do ((i 0 (1+ i)) | |
| 2868 | (n 1 (* 2 n)) | |
| 2869 | (want 1.0 (* 2.0 want))) | |
| 2870 | ((> i 100)) | |
| 2871 | (try-i i n want))) | |
| 2872 | ||
| 2873 | (with-test-prefix "2^i+1, no round" | |
| 2874 | (do ((i 1 (1+ i)) | |
| 2875 | (n 3 (1- (* 2 n))) | |
| 2876 | (want 3.0 (- (* 2.0 want) 1.0))) | |
| 2877 | ((>= i dbl-mant-dig)) | |
| 2878 | (try-i i n want))) | |
| 2879 | ||
| 2880 | (with-test-prefix "(2^i+1)*2^100, no round" | |
| 2881 | (do ((i 1 (1+ i)) | |
| 2882 | (n 3 (1- (* 2 n))) | |
| 2883 | (want 3.0 (- (* 2.0 want) 1.0))) | |
| 2884 | ((>= i dbl-mant-dig)) | |
| 2885 | (try-i i (ash n 100) (ash-flo want 100)))) | |
| 2886 | ||
| 2887 | ;; bit pattern: 1111....11100.00 | |
| 2888 | ;; <-mantdig-><-i-> | |
| 2889 | ;; | |
| 2890 | (with-test-prefix "mantdig ones then zeros, no rounding" | |
| 2891 | (do ((i 0 (1+ i)) | |
| 2892 | (n (- (ash 1 dbl-mant-dig) 1) (* 2 n)) | |
| 2893 | (want (- (ash-flo 1.0 dbl-mant-dig) 1.0) (* 2.0 want))) | |
| 2894 | ((> i 100)) | |
| 2895 | (try-i i n want))) | |
| 2896 | ||
| 2897 | ;; bit pattern: 1111....111011..1 | |
| 2898 | ;; <-mantdig-> <-i-> | |
| 2899 | ;; This sort of value was incorrectly rounded upwards in Guile 1.6.4 when | |
| 2900 | ;; i >= 11 (that's when the total is 65 or more bits). | |
| 2901 | ;; | |
| 2902 | (with-test-prefix "mantdig ones then 011..11, round down" | |
| 2903 | (do ((i 0 (1+ i)) | |
| 2904 | (n (- (ash 1 (+ 1 dbl-mant-dig)) 2) (+ 1 (* 2 n))) | |
| 2905 | (want (- (ash-flo 1.0 (+ 1 dbl-mant-dig)) 2.0) (* 2.0 want))) | |
| 2906 | ((> i 100)) | |
| 2907 | (try-i i n want))) | |
| 2908 | ||
| 2909 | ;; bit pattern: 1111....111100..001 | |
| 2910 | ;; <-mantdig-> <--i-> | |
| 2911 | ;; | |
| 2912 | (with-test-prefix "mantdig ones then 100..001, round up" | |
| 2913 | (do ((i 0 (1+ i)) | |
| 2914 | (n (- (ash 1 (+ 2 dbl-mant-dig)) 1) (1- (* 2 n))) | |
| 2915 | (want (ash-flo 1.0 (+ 2 dbl-mant-dig)) (* 2.0 want))) | |
| 2916 | ((> i 100)) | |
| 2917 | (try-i i n want))) | |
| 2918 | ||
| 2919 | ;; bit pattern: 1000....000100..001 | |
| 2920 | ;; <-mantdig-> <--i-> | |
| 2921 | ;; | |
| 2922 | (with-test-prefix "2^mantdig then 100..001, round up" | |
| 2923 | (do ((i 0 (1+ i)) | |
| 2924 | (n (- (ash 1 (+ 2 dbl-mant-dig)) 1) (1- (* 2 n))) | |
| 2925 | (want (+ (ash-flo 1.0 (+ 2 dbl-mant-dig)) 4.0) (* 2.0 want))) | |
| 2926 | ((> i 100)) | |
| 23f2b9a3 KR |
2927 | (try-i i n want))) |
| 2928 | ||
| 2929 | (pass-if "frac big/big" | |
| 2930 | (let ((big (ash 1 256))) | |
| 2931 | (= 1.0 (exact->inexact (/ (1+ big) big))))) | |
| 2932 | ||
| 2933 | ;; In guile 1.8.0 this failed, giving back "nan" because it tried to | |
| 2934 | ;; convert the num and den to doubles, resulting in infs. | |
| 2935 | (pass-if "frac big/big, exceeding double" | |
| 2936 | (let ((big (ash 1 4096))) | |
| 2937 | (= 1.0 (exact->inexact (/ (1+ big) big)))))) | |
| a1fb3b1c | 2938 | |
| f29b3454 DH |
2939 | ;;; |
| 2940 | ;;; floor | |
| 2941 | ;;; | |
| 2942 | ||
| 2943 | ;;; | |
| 2944 | ;;; ceiling | |
| 2945 | ;;; | |
| 2946 | ||
| 46f2c0f1 RB |
2947 | ;;; |
| 2948 | ;;; expt | |
| 2949 | ;;; | |
| 2950 | ||
| 2951 | (with-test-prefix "expt" | |
| a4082ab5 AW |
2952 | (pass-if-exception "non-numeric base" exception:wrong-type-arg |
| 2953 | (expt #t 0)) | |
| 01c7284a MW |
2954 | (pass-if (eqv? 1 (expt 0 0))) |
| 2955 | (pass-if (eqv? 1 (expt 0.0 0))) | |
| 2956 | (pass-if (eqv? 1.0 (expt 0 0.0))) | |
| 2957 | (pass-if (eqv? 1.0 (expt 0.0 0.0))) | |
| 2958 | (pass-if (nan? (expt 0 -1))) | |
| 2959 | (pass-if (nan? (expt 0 -1.0))) | |
| 2960 | (pass-if (nan? (expt 0.0 -1))) | |
| 2961 | (pass-if (nan? (expt 0.0 -1.0))) | |
| 2962 | (pass-if (eqv? 0 (expt 0 3))) | |
| 2963 | (pass-if (= 0 (expt 0 4.0))) | |
| 2964 | (pass-if (eqv? 0.0 (expt 0.0 5))) | |
| 2965 | (pass-if (eqv? 0.0 (expt 0.0 6.0))) | |
| 2966 | (pass-if (eqv? -2742638075.5 (expt -2742638075.5 1))) | |
| 2967 | (pass-if (eqv? (* -2742638075.5 -2742638075.5) | |
| 2968 | (expt -2742638075.5 2))) | |
| 2969 | (pass-if (eqv? 4.0 (expt -2.0 2.0))) | |
| 2970 | (pass-if (eqv? -1/8 (expt -2 -3))) | |
| 2971 | (pass-if (eqv? -0.125 (expt -2.0 -3))) | |
| 2972 | (pass-if (eqv? -0.125 (expt -2 -3.0))) | |
| 2973 | (pass-if (eqv? -0.125 (expt -2.0 -3.0))) | |
| 2974 | (pass-if (eqv? 0.25 (expt 2.0 -2.0))) | |
| 2975 | (pass-if (eqv? (* -1.0 12398 12398) (expt +12398i 2.0))) | |
| 2976 | (pass-if (eqv-loosely? +i (expt -1 0.5))) | |
| 2977 | (pass-if (eqv-loosely? +i (expt -1 1/2))) | |
| 8e43ed5d AW |
2978 | (pass-if (eqv-loosely? 1.0+1.7320508075688i (expt -8 1/3))) |
| 2979 | (pass-if (eqv? +inf.0 (expt 2 +inf.0))) | |
| 2980 | (pass-if (eqv? +inf.0 (expt 2.0 +inf.0))) | |
| 2981 | (pass-if (eqv? 0.0 (expt 2 -inf.0))) | |
| 2982 | (pass-if (eqv? 0.0 (expt 2.0 -inf.0)))) | |
| 01c7284a | 2983 | |
| 46f2c0f1 | 2984 | |
| 14a6784c KR |
2985 | ;;; |
| 2986 | ;;; asinh | |
| 2987 | ;;; | |
| 2988 | ||
| 2989 | (with-test-prefix "asinh" | |
| 2990 | (pass-if (= 0 (asinh 0)))) | |
| 2991 | ||
| 2992 | ;;; | |
| 2993 | ;;; acosh | |
| 2994 | ;;; | |
| 2995 | ||
| 2996 | (with-test-prefix "acosh" | |
| 2997 | (pass-if (= 0 (acosh 1)))) | |
| 2998 | ||
| 2999 | ;;; | |
| 3000 | ;;; atanh | |
| 3001 | ;;; | |
| 3002 | ||
| 3003 | (with-test-prefix "atanh" | |
| 3004 | (pass-if (= 0 (atanh 0)))) | |
| 3005 | ||
| f29b3454 DH |
3006 | ;;; |
| 3007 | ;;; make-rectangular | |
| 3008 | ;;; | |
| 3009 | ||
| 3010 | ;;; | |
| 3011 | ;;; make-polar | |
| 3012 | ;;; | |
| 3013 | ||
| d40681ec KR |
3014 | (with-test-prefix "make-polar" |
| 3015 | (define pi 3.14159265358979323846) | |
| 3016 | (define (almost= x y) | |
| 3017 | (> 0.01 (magnitude (- x y)))) | |
| 3018 | ||
| 3019 | (pass-if (= 0 (make-polar 0 0))) | |
| 3020 | (pass-if (= 0 (make-polar 0 123.456))) | |
| 3021 | (pass-if (= 1 (make-polar 1 0))) | |
| 3022 | (pass-if (= -1 (make-polar -1 0))) | |
| 3023 | ||
| 3024 | (pass-if (almost= 0+i (make-polar 1 (* 0.5 pi)))) | |
| 3025 | (pass-if (almost= -1 (make-polar 1 (* 1.0 pi)))) | |
| 3026 | (pass-if (almost= 0-i (make-polar 1 (* 1.5 pi)))) | |
| 3027 | (pass-if (almost= 1 (make-polar 1 (* 2.0 pi))))) | |
| 3028 | ||
| f29b3454 DH |
3029 | ;;; |
| 3030 | ;;; real-part | |
| 3031 | ;;; | |
| 3032 | ||
| 3033 | ;;; | |
| 3034 | ;;; imag-part | |
| 3035 | ;;; | |
| 3036 | ||
| 3037 | ;;; | |
| 3038 | ;;; magnitude | |
| 3039 | ;;; | |
| 3040 | ||
| d40681ec KR |
3041 | (with-test-prefix "magnitude" |
| 3042 | (pass-if (= 0 (magnitude 0))) | |
| 3043 | (pass-if (= 1 (magnitude 1))) | |
| 3044 | (pass-if (= 1 (magnitude -1))) | |
| 3045 | (pass-if (= 1 (magnitude 0+i))) | |
| 3046 | (pass-if (= 1 (magnitude 0-i))) | |
| 3047 | (pass-if (= 5 (magnitude 3+4i))) | |
| 3048 | (pass-if (= 5 (magnitude 3-4i))) | |
| 3049 | (pass-if (= 5 (magnitude -3+4i))) | |
| 3050 | (pass-if (= 5 (magnitude -3-4i)))) | |
| 3051 | ||
| f29b3454 DH |
3052 | ;;; |
| 3053 | ;;; angle | |
| 3054 | ;;; | |
| 3055 | ||
| cfc9fc1c KR |
3056 | (with-test-prefix "angle" |
| 3057 | (define pi 3.14159265358979323846) | |
| 3058 | (define (almost= x y) | |
| 3059 | (> 0.01 (magnitude (- x y)))) | |
| 3060 | ||
| 3061 | (pass-if "inum +ve" (= 0 (angle 1))) | |
| 3062 | (pass-if "inum -ve" (almost= pi (angle -1))) | |
| 3063 | ||
| 3064 | (pass-if "bignum +ve" (= 0 (angle (1+ fixnum-max)))) | |
| 3065 | (pass-if "bignum -ve" (almost= pi (angle (1- fixnum-min)))) | |
| 3066 | ||
| 3067 | (pass-if "flonum +ve" (= 0 (angle 1.5))) | |
| 3068 | (pass-if "flonum -ve" (almost= pi (angle -1.5)))) | |
| 3069 | ||
| f29b3454 DH |
3070 | ;;; |
| 3071 | ;;; inexact->exact | |
| 3072 | ;;; | |
| 300c6a76 | 3073 | |
| 1259cb26 KR |
3074 | (with-test-prefix "inexact->exact" |
| 3075 | ||
| 9dd9857f | 3076 | (pass-if-exception "+inf" exception:out-of-range |
| a409f865 | 3077 | (inexact->exact +inf.0)) |
| 1259cb26 | 3078 | |
| 9dd9857f | 3079 | (pass-if-exception "-inf" exception:out-of-range |
| a409f865 | 3080 | (inexact->exact -inf.0)) |
| 1259cb26 | 3081 | |
| 9dd9857f | 3082 | (pass-if-exception "nan" exception:out-of-range |
| a409f865 | 3083 | (inexact->exact +nan.0)) |
| 1259cb26 KR |
3084 | |
| 3085 | (with-test-prefix "2.0**i to exact and back" | |
| 3086 | (do ((i 0 (1+ i)) | |
| 3087 | (n 1.0 (* 2.0 n))) | |
| 3088 | ((> i 100)) | |
| 3089 | (pass-if (list i n) | |
| 3090 | (= n (inexact->exact (exact->inexact n))))))) | |
| 3091 | ||
| c1122753 KR |
3092 | ;;; |
| 3093 | ;;; integer-expt | |
| 3094 | ;;; | |
| 3095 | ||
| 3096 | (with-test-prefix "integer-expt" | |
| 3097 | ||
| 5a8fc758 AW |
3098 | (pass-if-exception "non-numeric base" exception:wrong-type-arg |
| 3099 | (integer-expt #t 0)) | |
| c1122753 KR |
3100 | (pass-if-exception "2^+inf" exception:wrong-type-arg |
| 3101 | (integer-expt 2 +inf.0)) | |
| 3102 | (pass-if-exception "2^-inf" exception:wrong-type-arg | |
| 3103 | (integer-expt 2 -inf.0)) | |
| 3104 | (pass-if-exception "2^nan" exception:wrong-type-arg | |
| 01c7284a MW |
3105 | (integer-expt 2 +nan.0)) |
| 3106 | ||
| 3107 | (pass-if (eqv? 1 (integer-expt 0 0))) | |
| 3108 | (pass-if (eqv? 1 (integer-expt 0.0 0))) | |
| 3109 | (pass-if (nan? (integer-expt 0 -1))) | |
| 3110 | (pass-if (nan? (integer-expt 0.0 -1))) | |
| 3111 | (pass-if (eqv? 0 (integer-expt 0 3))) | |
| 3112 | (pass-if (eqv? 0.0 (integer-expt 0.0 5))) | |
| 3113 | (pass-if (eqv? -2742638075.5 (integer-expt -2742638075.5 1))) | |
| 3114 | (pass-if (eqv? (* -2742638075.5 -2742638075.5) | |
| 3115 | (integer-expt -2742638075.5 2))) | |
| 3116 | (pass-if (eqv? 4.0 (integer-expt -2.0 2))) | |
| 3117 | (pass-if (eqv? -1/8 (integer-expt -2 -3))) | |
| 3118 | (pass-if (eqv? -0.125 (integer-expt -2.0 -3))) | |
| 3119 | (pass-if (eqv? 0.25 (integer-expt 2.0 -2))) | |
| 3120 | (pass-if (eqv? (* -1.0 12398 12398) (integer-expt +12398.0i 2)))) | |
| 3121 | ||
| c1122753 | 3122 | |
| a04a3604 KR |
3123 | ;;; |
| 3124 | ;;; integer-length | |
| 3125 | ;;; | |
| 3126 | ||
| 3127 | (with-test-prefix "integer-length" | |
| 3128 | ||
| 3129 | (with-test-prefix "-2^i, ...11100..00" | |
| 3130 | (do ((n -1 (ash n 1)) | |
| 3131 | (i 0 (1+ i))) | |
| 3132 | ((> i 256)) | |
| 3133 | (pass-if (list n "expect" i) | |
| 3134 | (= i (integer-length n))))) | |
| 3135 | ||
| 3136 | (with-test-prefix "-2^i+1 ...11100..01" | |
| 3137 | (do ((n -3 (logxor 3 (ash n 1))) | |
| 3138 | (i 2 (1+ i))) | |
| 3139 | ((> i 256)) | |
| 3140 | (pass-if n | |
| 3141 | (= i (integer-length n))))) | |
| 3142 | ||
| 3143 | (with-test-prefix "-2^i-1 ...111011..11" | |
| 3144 | (do ((n -2 (1+ (ash n 1))) | |
| 3145 | (i 1 (1+ i))) | |
| 3146 | ((> i 256)) | |
| 3147 | (pass-if n | |
| 3148 | (= i (integer-length n)))))) | |
| 3149 | ||
| 8ab3d8a0 KR |
3150 | ;;; |
| 3151 | ;;; log | |
| 3152 | ;;; | |
| 3153 | ||
| 3154 | (with-test-prefix "log" | |
| 3155 | (pass-if "documented?" | |
| 3156 | (documented? log)) | |
| 3157 | ||
| 3158 | (pass-if-exception "no args" exception:wrong-num-args | |
| 3159 | (log)) | |
| 3160 | (pass-if-exception "two args" exception:wrong-num-args | |
| 3161 | (log 123 456)) | |
| 3162 | ||
| 3163 | (pass-if (negative-infinity? (log 0))) | |
| 3164 | (pass-if (negative-infinity? (log 0.0))) | |
| 3165 | (pass-if (eqv? 0.0 (log 1))) | |
| 3166 | (pass-if (eqv? 0.0 (log 1.0))) | |
| 3167 | (pass-if (eqv-loosely? 1.0 (log const-e))) | |
| 3168 | (pass-if (eqv-loosely? 2.0 (log const-e^2))) | |
| 3169 | (pass-if (eqv-loosely? -1.0 (log const-1/e))) | |
| 3170 | ||
| 3171 | (pass-if (eqv-loosely? 1.0+1.57079i (log 0+2.71828i))) | |
| 3172 | (pass-if (eqv-loosely? 1.0-1.57079i (log 0-2.71828i))) | |
| 3173 | ||
| 3174 | (pass-if (eqv-loosely? 0.0+3.14159i (log -1.0))) | |
| 3175 | (pass-if (eqv-loosely? 1.0+3.14159i (log -2.71828))) | |
| 3176 | (pass-if (eqv-loosely? 2.0+3.14159i (log (* -2.71828 2.71828))))) | |
| 3177 | ||
| 3178 | ;;; | |
| 3179 | ;;; log10 | |
| 3180 | ;;; | |
| 3181 | ||
| 3182 | (with-test-prefix "log10" | |
| 3183 | (pass-if "documented?" | |
| 3184 | (documented? log10)) | |
| 3185 | ||
| 3186 | (pass-if-exception "no args" exception:wrong-num-args | |
| 3187 | (log10)) | |
| 3188 | (pass-if-exception "two args" exception:wrong-num-args | |
| 3189 | (log10 123 456)) | |
| 3190 | ||
| 3191 | (pass-if (negative-infinity? (log10 0))) | |
| 3192 | (pass-if (negative-infinity? (log10 0.0))) | |
| 3193 | (pass-if (eqv? 0.0 (log10 1))) | |
| 3194 | (pass-if (eqv? 0.0 (log10 1.0))) | |
| 3195 | (pass-if (eqv-loosely? 1.0 (log10 10.0))) | |
| 3196 | (pass-if (eqv-loosely? 2.0 (log10 100.0))) | |
| 3197 | (pass-if (eqv-loosely? -1.0 (log10 0.1))) | |
| 3198 | ||
| 3199 | (pass-if (eqv-loosely? 1.0+0.68218i (log10 0+10.0i))) | |
| 3200 | (pass-if (eqv-loosely? 1.0-0.68218i (log10 0-10.0i))) | |
| 3201 | ||
| 3202 | (pass-if (eqv-loosely? 0.0+1.36437i (log10 -1))) | |
| 3203 | (pass-if (eqv-loosely? 1.0+1.36437i (log10 -10))) | |
| 3204 | (pass-if (eqv-loosely? 2.0+1.36437i (log10 -100)))) | |
| 3205 | ||
| abff733b KR |
3206 | ;;; |
| 3207 | ;;; logbit? | |
| 3208 | ;;; | |
| 3209 | ||
| 3210 | (with-test-prefix "logbit?" | |
| 3211 | (pass-if (eq? #f (logbit? 0 0))) | |
| 3212 | (pass-if (eq? #f (logbit? 1 0))) | |
| 3213 | (pass-if (eq? #f (logbit? 31 0))) | |
| 3214 | (pass-if (eq? #f (logbit? 32 0))) | |
| 3215 | (pass-if (eq? #f (logbit? 33 0))) | |
| 3216 | (pass-if (eq? #f (logbit? 63 0))) | |
| 3217 | (pass-if (eq? #f (logbit? 64 0))) | |
| 3218 | (pass-if (eq? #f (logbit? 65 0))) | |
| 3219 | ||
| 3220 | ;; prior to guile 1.6.5, testing bit 32, 64 etc of value 1 would wrap | |
| 3221 | ;; around and return #t where it ought to be #f | |
| 3222 | (pass-if (eq? #t (logbit? 0 1))) | |
| 3223 | (pass-if (eq? #f (logbit? 1 1))) | |
| 3224 | (pass-if (eq? #f (logbit? 31 1))) | |
| 3225 | (pass-if (eq? #f (logbit? 32 1))) | |
| 3226 | (pass-if (eq? #f (logbit? 33 1))) | |
| 3227 | (pass-if (eq? #f (logbit? 63 1))) | |
| 3228 | (pass-if (eq? #f (logbit? 64 1))) | |
| 3229 | (pass-if (eq? #f (logbit? 65 1))) | |
| 3230 | (pass-if (eq? #f (logbit? 128 1))) | |
| 3231 | ||
| 3232 | (pass-if (eq? #t (logbit? 0 -1))) | |
| 3233 | (pass-if (eq? #t (logbit? 1 -1))) | |
| 3234 | (pass-if (eq? #t (logbit? 31 -1))) | |
| 3235 | (pass-if (eq? #t (logbit? 32 -1))) | |
| 3236 | (pass-if (eq? #t (logbit? 33 -1))) | |
| 3237 | (pass-if (eq? #t (logbit? 63 -1))) | |
| 3238 | (pass-if (eq? #t (logbit? 64 -1))) | |
| 3239 | (pass-if (eq? #t (logbit? 65 -1)))) | |
| 3240 | ||
| 300c6a76 KR |
3241 | ;;; |
| 3242 | ;;; logcount | |
| 3243 | ;;; | |
| 3244 | ||
| 3245 | (with-test-prefix "logcount" | |
| 3246 | ||
| 3247 | (with-test-prefix "-2^i, meaning ...11100..00" | |
| 3248 | (do ((n -1 (ash n 1)) | |
| 3249 | (i 0 (1+ i))) | |
| 3250 | ((> i 256)) | |
| 795c0bae KR |
3251 | (pass-if n |
| 3252 | (= i (logcount n))))) | |
| 3253 | ||
| 3254 | (with-test-prefix "2^i" | |
| 3255 | (do ((n 1 (ash n 1)) | |
| 3256 | (i 0 (1+ i))) | |
| 3257 | ((> i 256)) | |
| 3258 | (pass-if n | |
| 3259 | (= 1 (logcount n))))) | |
| 3260 | ||
| 3261 | (with-test-prefix "2^i-1" | |
| 3262 | (do ((n 0 (1+ (ash n 1))) | |
| 3263 | (i 0 (1+ i))) | |
| 3264 | ((> i 256)) | |
| 300c6a76 KR |
3265 | (pass-if n |
| 3266 | (= i (logcount n)))))) | |
| 795c0bae | 3267 | |
| afd09cfb KR |
3268 | ;;; |
| 3269 | ;;; logior | |
| 3270 | ;;; | |
| 3271 | ||
| 3272 | (with-test-prefix "logior" | |
| 3273 | (pass-if (eqv? -1 (logior (ash -1 1) 1))) | |
| 3274 | ||
| 3275 | ;; check that bignum or bignum+inum args will reduce to an inum | |
| 3276 | (let () | |
| 3277 | (define (test x y) | |
| 3278 | (pass-if (list x y '=> -1) | |
| 3279 | (eqv? -1 (logior x y))) | |
| 3280 | (pass-if (list y x '=> -1) | |
| 3281 | (eqv? -1 (logior y x)))) | |
| 3282 | (test (ash -1 8) #xFF) | |
| 3283 | (test (ash -1 28) #x0FFFFFFF) | |
| 3284 | (test (ash -1 29) #x1FFFFFFF) | |
| 3285 | (test (ash -1 30) #x3FFFFFFF) | |
| 3286 | (test (ash -1 31) #x7FFFFFFF) | |
| 3287 | (test (ash -1 32) #xFFFFFFFF) | |
| 3288 | (test (ash -1 33) #x1FFFFFFFF) | |
| 3289 | (test (ash -1 60) #x0FFFFFFFFFFFFFFF) | |
| 3290 | (test (ash -1 61) #x1FFFFFFFFFFFFFFF) | |
| 3291 | (test (ash -1 62) #x3FFFFFFFFFFFFFFF) | |
| 3292 | (test (ash -1 63) #x7FFFFFFFFFFFFFFF) | |
| 3293 | (test (ash -1 64) #xFFFFFFFFFFFFFFFF) | |
| 3294 | (test (ash -1 65) #x1FFFFFFFFFFFFFFFF) | |
| 3295 | (test (ash -1 128) #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))) | |
| 3296 | ||
| 1ec2dd6f KR |
3297 | ;;; |
| 3298 | ;;; lognot | |
| 3299 | ;;; | |
| 3300 | ||
| 3301 | (with-test-prefix "lognot" | |
| 3302 | (pass-if (= -1 (lognot 0))) | |
| 3303 | (pass-if (= 0 (lognot -1))) | |
| 3304 | (pass-if (= -2 (lognot 1))) | |
| 3305 | (pass-if (= 1 (lognot -2))) | |
| 3306 | ||
| 3307 | (pass-if (= #x-100000000000000000000000000000000 | |
| 3308 | (lognot #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))) | |
| 3309 | (pass-if (= #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | |
| 3310 | (lognot #x-100000000000000000000000000000000)))) | |
| 8ab3d8a0 KR |
3311 | |
| 3312 | ;;; | |
| 3313 | ;;; sqrt | |
| 3314 | ;;; | |
| 3315 | ||
| 3316 | (with-test-prefix "sqrt" | |
| 3317 | (pass-if "documented?" | |
| 3318 | (documented? sqrt)) | |
| 3319 | ||
| 3320 | (pass-if-exception "no args" exception:wrong-num-args | |
| 3321 | (sqrt)) | |
| 3322 | (pass-if-exception "two args" exception:wrong-num-args | |
| 3323 | (sqrt 123 456)) | |
| 3324 | ||
| 3325 | (pass-if (eqv? 0.0 (sqrt 0))) | |
| 3326 | (pass-if (eqv? 0.0 (sqrt 0.0))) | |
| 3327 | (pass-if (eqv? 1.0 (sqrt 1.0))) | |
| 3328 | (pass-if (eqv-loosely? 2.0 (sqrt 4.0))) | |
| 3329 | (pass-if (eqv-loosely? 31.62 (sqrt 1000.0))) | |
| 3330 | ||
| 3331 | (pass-if (eqv? +1.0i (sqrt -1.0))) | |
| 3332 | (pass-if (eqv-loosely? +2.0i (sqrt -4.0))) | |
| 3333 | (pass-if (eqv-loosely? +31.62i (sqrt -1000.0))) | |
| 3334 | ||
| 3335 | (pass-if "+i swings back to 45deg angle" | |
| 3336 | (eqv-loosely? +0.7071+0.7071i (sqrt +1.0i))) | |
| 3337 | ||
| 3338 | ;; Note: glibc 2.3 csqrt() had a bug affecting this test case, so if it | |
| 3339 | ;; fails check whether that's the cause (there's a configure test to | |
| 3340 | ;; reject it, but when cross-compiling we assume the C library is ok). | |
| 3341 | (pass-if "-100i swings back to 45deg down" | |
| 3342 | (eqv-loosely? +7.071-7.071i (sqrt -100.0i)))) | |
| 3343 | ||
| c6a576f7 HWN |
3344 | |
| 3345 | ;; | |
| 3346 | ;; equal? | |
| 3347 | ;; | |
| 3348 | ||
| 3349 | ||
| 3350 | (with-test-prefix "equal?" | |
| 3351 | (pass-if | |
| 3352 | ||
| 3353 | ;; lazy reduction bit for rationals should not affect equal? | |
| 3354 | (equal? 1/2 ((lambda (x) (denominator x) x) 1/2)))) | |
| 3355 |