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) | |
| ff62c168 | 20 | #:use-module (ice-9 documentation) |
| a8591a55 | 21 | #:use-module (srfi srfi-1) ; list library |
| ff62c168 | 22 | #:use-module (srfi srfi-11)) ; let-values |
| de142bea | 23 | |
| de142bea DH |
24 | ;;; |
| 25 | ;;; miscellaneous | |
| 26 | ;;; | |
| 27 | ||
| 1b3a7932 DH |
28 | (define exception:numerical-overflow |
| 29 | (cons 'numerical-overflow "^Numerical overflow")) | |
| 30 | ||
| cb18f2a8 | 31 | (define (documented? object) |
| 5c96bc39 | 32 | (not (not (object-documentation object)))) |
| de142bea | 33 | |
| 8b7838b5 RB |
34 | (define fixnum-bit |
| 35 | (inexact->exact (+ (/ (log (+ most-positive-fixnum 1)) (log 2)) 1))) | |
| 36 | ||
| 21e39e8f DH |
37 | (define fixnum-min most-negative-fixnum) |
| 38 | (define fixnum-max most-positive-fixnum) | |
| de142bea | 39 | |
| a1fb3b1c KR |
40 | ;; Divine the number of bits in the mantissa of a flonum. |
| 41 | ;; We look for when 2.0^i+1.0 gets rounded, ie. the difference between that | |
| 42 | ;; value and 2.0^k is not 1.0. | |
| 43 | ;; Of course this assumes flonums have a fixed precision mantissa, but | |
| 44 | ;; that's the case now and probably into the forseeable future. | |
| 45 | ;; On an IEEE system, which means pretty much everywhere, the value here is | |
| 46 | ;; the usual 53. | |
| 47 | ;; | |
| 48 | (define dbl-mant-dig | |
| 49 | (let more ((i 1) | |
| 50 | (d 2.0)) | |
| 51 | (if (> i 1024) | |
| 52 | (error "Oops, cannot determine number of bits in mantissa of inexact")) | |
| 53 | (let* ((sum (+ 1.0 d)) | |
| 54 | (diff (- sum d))) | |
| 55 | (if (= diff 1.0) | |
| 56 | (more (1+ i) (* 2.0 d)) | |
| 57 | i)))) | |
| 58 | ||
| 59 | ;; like ash, but working on a flonum | |
| 60 | (define (ash-flo x n) | |
| 61 | (while (> n 0) | |
| 62 | (set! x (* 2.0 x)) | |
| 63 | (set! n (1- n))) | |
| 64 | (while (< n 0) | |
| 65 | (set! x (* 0.5 x)) | |
| 66 | (set! n (1+ n))) | |
| 67 | x) | |
| 49579cbd KR |
68 | |
| 69 | ;; `quotient' but rounded towards -infinity, like `modulo' or `ash' do | |
| 70 | ;; note only positive D supported (that's all that's currently required) | |
| 71 | (define-public (quotient-floor n d) | |
| 72 | (if (negative? n) | |
| 73 | (quotient (- n d -1) d) ;; neg/pos | |
| 74 | (quotient n d))) ;; pos/pos | |
| 75 | ||
| 8ab3d8a0 KR |
76 | ;; return true of X is in the range LO to HI, inclusive |
| 77 | (define (within-range? lo hi x) | |
| 78 | (and (>= x (min lo hi)) | |
| 79 | (<= x (max lo hi)))) | |
| 80 | ||
| 81 | ;; return true if GOT is within +/- 0.01 of GOT | |
| 82 | ;; for a complex number both real and imaginary parts must be in that range | |
| 83 | (define (eqv-loosely? want got) | |
| 84 | (and (within-range? (- (real-part want) 0.01) | |
| 85 | (+ (real-part want) 0.01) | |
| 86 | (real-part got)) | |
| 87 | (within-range? (- (imag-part want) 0.01) | |
| 88 | (+ (imag-part want) 0.01) | |
| 89 | (imag-part got)))) | |
| 90 | ||
| 91 | ;; return true if OBJ is negative infinity | |
| 92 | (define (negative-infinity? obj) | |
| 93 | (and (real? obj) | |
| 94 | (negative? obj) | |
| 95 | (inf? obj))) | |
| 96 | ||
| ff62c168 MW |
97 | ;; |
| 98 | ;; Tolerance used by test-eqv? for inexact numbers. | |
| 99 | ;; | |
| 100 | (define test-epsilon 1e-10) | |
| 101 | ||
| 102 | ;; | |
| 103 | ;; Like eqv?, except that inexact finite numbers need only be within | |
| a8591a55 MW |
104 | ;; test-epsilon (1e-10) to be considered equal. For non-real complex |
| 105 | ;; numbers, each component is tested according to these rules. The | |
| 106 | ;; intent is that the known-correct value will be the first parameter. | |
| ff62c168 MW |
107 | ;; |
| 108 | (define (test-eqv? x y) | |
| 109 | (cond ((real? x) | |
| 110 | (and (real? y) (test-real-eqv? x y))) | |
| 111 | ((complex? x) | |
| 112 | (and (not (real? y)) | |
| 113 | (test-real-eqv? (real-part x) (real-part y)) | |
| 114 | (test-real-eqv? (imag-part x) (imag-part y)))) | |
| 115 | (else (eqv? x y)))) | |
| 116 | ||
| 117 | ;; Auxiliary predicate used by test-eqv? | |
| 118 | (define (test-real-eqv? x y) | |
| a8591a55 | 119 | (cond ((or (exact? x) (nan? x) (inf? x)) |
| ff62c168 MW |
120 | (eqv? x y)) |
| 121 | (else (and (inexact? y) (> test-epsilon (abs (- x y))))))) | |
| 122 | ||
| 55a8b708 MW |
123 | ;; return true if OBJ is a real NaN |
| 124 | (define (real-nan? obj) | |
| 125 | (and (real? obj) | |
| 126 | (nan? obj))) | |
| 127 | ||
| 128 | ;; return true if both the real and imaginary | |
| 129 | ;; parts of OBJ are NaNs | |
| 130 | (define (complex-nan? obj) | |
| 131 | (and (nan? (real-part obj)) | |
| 132 | (nan? (imag-part obj)))) | |
| 133 | ||
| 134 | ;; return true if the real part of OBJ is zero | |
| 135 | ;; and the imaginary part is a NaN. | |
| 136 | (define (imaginary-nan? obj) | |
| 137 | (and (zero? (real-part obj)) | |
| 138 | (nan? (imag-part obj)))) | |
| 139 | ||
| 8ab3d8a0 KR |
140 | (define const-e 2.7182818284590452354) |
| 141 | (define const-e^2 7.3890560989306502274) | |
| 142 | (define const-1/e 0.3678794411714423215) | |
| 143 | ||
| 144 | ||
| a580ebba KR |
145 | ;;; |
| 146 | ;;; 1+ | |
| 147 | ;;; | |
| 148 | ||
| f13f1e9f | 149 | (with-test-prefix/c&e "1+" |
| a580ebba KR |
150 | |
| 151 | (pass-if "documented?" | |
| 152 | (documented? 1+)) | |
| 153 | ||
| f13f1e9f LC |
154 | (pass-if "0" (eqv? 1 (1+ 0))) |
| 155 | (pass-if "-1" (eqv? 0 (1+ -1))) | |
| 156 | (pass-if "100" (eqv? 101 (1+ 100))) | |
| 157 | (pass-if "-100" (eqv? -99 (1+ -100))) | |
| e78d4bf9 LC |
158 | |
| 159 | ;; The maximum fixnum on a 32-bit architecture: 2^29 - 1. | |
| f13f1e9f LC |
160 | (pass-if "1+ fixnum = bignum (32-bit)" |
| 161 | (eqv? 536870912 (1+ 536870911))) | |
| e78d4bf9 LC |
162 | |
| 163 | ;; The maximum fixnum on a 64-bit architecture: 2^61 - 1. | |
| f13f1e9f LC |
164 | (pass-if "1+ fixnum = bignum (64-bit)" |
| 165 | (eqv? 2305843009213693952 (1+ 2305843009213693951)))) | |
| a580ebba KR |
166 | |
| 167 | ;;; | |
| 168 | ;;; 1- | |
| 169 | ;;; | |
| 170 | ||
| f13f1e9f | 171 | (with-test-prefix/c&e "1-" |
| a580ebba KR |
172 | |
| 173 | (pass-if "documented?" | |
| 174 | (documented? 1-)) | |
| 175 | ||
| f13f1e9f LC |
176 | (pass-if "0" (eqv? -1 (1- 0))) |
| 177 | (pass-if "1" (eqv? 0 (1- 1))) | |
| 178 | (pass-if "100" (eqv? 99 (1- 100))) | |
| 179 | (pass-if "-100" (eqv? -101 (1- -100))) | |
| e78d4bf9 LC |
180 | |
| 181 | ;; The minimum fixnum on a 32-bit architecture: -2^29. | |
| f13f1e9f LC |
182 | (pass-if "1- fixnum = bignum (32-bit)" |
| 183 | (eqv? -536870913 (1- -536870912))) | |
| e78d4bf9 LC |
184 | |
| 185 | ;; The minimum fixnum on a 64-bit architecture: -2^61. | |
| f13f1e9f LC |
186 | (pass-if "1- fixnum = bignum (64-bit)" |
| 187 | (eqv? -2305843009213693953 (1- -2305843009213693952)))) | |
| a580ebba | 188 | |
| 49579cbd KR |
189 | ;;; |
| 190 | ;;; ash | |
| 191 | ;;; | |
| 192 | ||
| 193 | (with-test-prefix "ash" | |
| 194 | ||
| 195 | (pass-if "documented?" | |
| 196 | (documented? ash)) | |
| 197 | ||
| 198 | (pass-if (eqv? 0 (ash 0 0))) | |
| 199 | (pass-if (eqv? 0 (ash 0 1))) | |
| 200 | (pass-if (eqv? 0 (ash 0 1000))) | |
| 201 | (pass-if (eqv? 0 (ash 0 -1))) | |
| 202 | (pass-if (eqv? 0 (ash 0 -1000))) | |
| 203 | ||
| 204 | (pass-if (eqv? 1 (ash 1 0))) | |
| 205 | (pass-if (eqv? 2 (ash 1 1))) | |
| 206 | (pass-if (eqv? 340282366920938463463374607431768211456 (ash 1 128))) | |
| 207 | (pass-if (eqv? 0 (ash 1 -1))) | |
| 208 | (pass-if (eqv? 0 (ash 1 -1000))) | |
| 209 | ||
| 210 | (pass-if (eqv? -1 (ash -1 0))) | |
| 211 | (pass-if (eqv? -2 (ash -1 1))) | |
| 212 | (pass-if (eqv? -340282366920938463463374607431768211456 (ash -1 128))) | |
| 213 | (pass-if (eqv? -1 (ash -1 -1))) | |
| 214 | (pass-if (eqv? -1 (ash -1 -1000))) | |
| 215 | ||
| 216 | (pass-if (eqv? -3 (ash -3 0))) | |
| 217 | (pass-if (eqv? -6 (ash -3 1))) | |
| 218 | (pass-if (eqv? -1020847100762815390390123822295304634368 (ash -3 128))) | |
| 219 | (pass-if (eqv? -2 (ash -3 -1))) | |
| 220 | (pass-if (eqv? -1 (ash -3 -1000))) | |
| 221 | ||
| 222 | (pass-if (eqv? -6 (ash -23 -2))) | |
| 223 | ||
| 224 | (pass-if (eqv? most-positive-fixnum (ash most-positive-fixnum 0))) | |
| 225 | (pass-if (eqv? (* 2 most-positive-fixnum) (ash most-positive-fixnum 1))) | |
| 226 | (pass-if (eqv? (* 4 most-positive-fixnum) (ash most-positive-fixnum 2))) | |
| 227 | (pass-if | |
| 228 | (eqv? (* most-positive-fixnum 340282366920938463463374607431768211456) | |
| 229 | (ash most-positive-fixnum 128))) | |
| 230 | (pass-if (eqv? (quotient most-positive-fixnum 2) | |
| 231 | (ash most-positive-fixnum -1))) | |
| 232 | (pass-if (eqv? 0 (ash most-positive-fixnum -1000))) | |
| 233 | ||
| 234 | (let ((mpf4 (quotient most-positive-fixnum 4))) | |
| 235 | (pass-if (eqv? (* 2 mpf4) (ash mpf4 1))) | |
| 236 | (pass-if (eqv? (* 4 mpf4) (ash mpf4 2))) | |
| 237 | (pass-if (eqv? (* 8 mpf4) (ash mpf4 3)))) | |
| 238 | ||
| 239 | (pass-if (eqv? most-negative-fixnum (ash most-negative-fixnum 0))) | |
| 240 | (pass-if (eqv? (* 2 most-negative-fixnum) (ash most-negative-fixnum 1))) | |
| 241 | (pass-if (eqv? (* 4 most-negative-fixnum) (ash most-negative-fixnum 2))) | |
| 242 | (pass-if | |
| 243 | (eqv? (* most-negative-fixnum 340282366920938463463374607431768211456) | |
| 244 | (ash most-negative-fixnum 128))) | |
| 245 | (pass-if (eqv? (quotient-floor most-negative-fixnum 2) | |
| 246 | (ash most-negative-fixnum -1))) | |
| 247 | (pass-if (eqv? -1 (ash most-negative-fixnum -1000))) | |
| 248 | ||
| 249 | (let ((mnf4 (quotient-floor most-negative-fixnum 4))) | |
| 250 | (pass-if (eqv? (* 2 mnf4) (ash mnf4 1))) | |
| 251 | (pass-if (eqv? (* 4 mnf4) (ash mnf4 2))) | |
| 252 | (pass-if (eqv? (* 8 mnf4) (ash mnf4 3))))) | |
| a1fb3b1c | 253 | |
| de142bea DH |
254 | ;;; |
| 255 | ;;; exact? | |
| 256 | ;;; | |
| 257 | ||
| 258 | (with-test-prefix "exact?" | |
| 259 | ||
| de142bea | 260 | (pass-if "documented?" |
| cb18f2a8 | 261 | (documented? exact?)) |
| de142bea | 262 | |
| 21e39e8f | 263 | (with-test-prefix "integers" |
| de142bea | 264 | |
| 21e39e8f DH |
265 | (pass-if "0" |
| 266 | (exact? 0)) | |
| de142bea | 267 | |
| 21e39e8f DH |
268 | (pass-if "fixnum-max" |
| 269 | (exact? fixnum-max)) | |
| de142bea | 270 | |
| 21e39e8f DH |
271 | (pass-if "fixnum-max + 1" |
| 272 | (exact? (+ fixnum-max 1))) | |
| de142bea | 273 | |
| 21e39e8f DH |
274 | (pass-if "fixnum-min" |
| 275 | (exact? fixnum-min)) | |
| de142bea | 276 | |
| 21e39e8f DH |
277 | (pass-if "fixnum-min - 1" |
| 278 | (exact? (- fixnum-min 1)))) | |
| 279 | ||
| 280 | (with-test-prefix "reals" | |
| 281 | ||
| 282 | ;; (FIXME: need better examples.) | |
| 283 | ||
| 284 | (pass-if "sqrt (fixnum-max^2 - 1)" | |
| 285 | (eq? #f (exact? (sqrt (- (expt fixnum-max 2) 1))))) | |
| 286 | ||
| 287 | (pass-if "sqrt ((fixnum-max+1)^2 - 1)" | |
| 41df63cf MW |
288 | (eq? #f (exact? (sqrt (- (expt (+ fixnum-max 1) 2) 1))))) |
| 289 | ||
| 290 | (pass-if (not (exact? +inf.0))) | |
| 291 | (pass-if (not (exact? -inf.0))) | |
| 292 | (pass-if (not (exact? +nan.0))))) | |
| de142bea | 293 | |
| 8ab3d8a0 KR |
294 | ;;; |
| 295 | ;;; exp | |
| 296 | ;;; | |
| 297 | ||
| 298 | (with-test-prefix "exp" | |
| 2519490c | 299 | (pass-if (documented? exp)) |
| 8ab3d8a0 KR |
300 | |
| 301 | (pass-if-exception "no args" exception:wrong-num-args | |
| 302 | (exp)) | |
| 303 | (pass-if-exception "two args" exception:wrong-num-args | |
| 304 | (exp 123 456)) | |
| 305 | ||
| 306 | (pass-if (eqv? 0.0 (exp -inf.0))) | |
| 307 | (pass-if (eqv-loosely? 1.0 (exp 0))) | |
| 308 | (pass-if (eqv-loosely? 1.0 (exp 0.0))) | |
| 309 | (pass-if (eqv-loosely? const-e (exp 1.0))) | |
| 310 | (pass-if (eqv-loosely? const-e^2 (exp 2.0))) | |
| 311 | (pass-if (eqv-loosely? const-1/e (exp -1))) | |
| 312 | ||
| 313 | (pass-if "exp(pi*i) = -1" | |
| 314 | (eqv-loosely? -1.0 (exp 0+3.14159i))) | |
| 315 | (pass-if "exp(-pi*i) = -1" | |
| 316 | (eqv-loosely? -1.0 (exp 0-3.14159i))) | |
| 317 | (pass-if "exp(2*pi*i) = +1" | |
| 318 | (eqv-loosely? 1.0 (exp 0+6.28318i))) | |
| 319 | ||
| 320 | (pass-if "exp(2-pi*i) = -e^2" | |
| 321 | (eqv-loosely? (- const-e^2) (exp 2.0-3.14159i)))) | |
| 322 | ||
| de142bea DH |
323 | ;;; |
| 324 | ;;; odd? | |
| 325 | ;;; | |
| 326 | ||
| 7c24e528 RB |
327 | (with-test-prefix "odd?" |
| 328 | (pass-if (documented? odd?)) | |
| 329 | (pass-if (odd? 1)) | |
| 330 | (pass-if (odd? -1)) | |
| 4d332f19 DH |
331 | (pass-if (not (odd? 0))) |
| 332 | (pass-if (not (odd? 2))) | |
| 333 | (pass-if (not (odd? -2))) | |
| 7c24e528 | 334 | (pass-if (odd? (+ (* 2 fixnum-max) 1))) |
| 4d332f19 | 335 | (pass-if (not (odd? (* 2 fixnum-max)))) |
| 7c24e528 | 336 | (pass-if (odd? (- (* 2 fixnum-min) 1))) |
| 4d332f19 | 337 | (pass-if (not (odd? (* 2 fixnum-min))))) |
| de142bea DH |
338 | |
| 339 | ;;; | |
| 340 | ;;; even? | |
| 341 | ;;; | |
| 342 | ||
| 7c24e528 RB |
343 | (with-test-prefix "even?" |
| 344 | (pass-if (documented? even?)) | |
| 345 | (pass-if (even? 2)) | |
| 346 | (pass-if (even? -2)) | |
| 347 | (pass-if (even? 0)) | |
| 4d332f19 DH |
348 | (pass-if (not (even? 1))) |
| 349 | (pass-if (not (even? -1))) | |
| 350 | (pass-if (not (even? (+ (* 2 fixnum-max) 1)))) | |
| 7c24e528 | 351 | (pass-if (even? (* 2 fixnum-max))) |
| 4d332f19 | 352 | (pass-if (not (even? (- (* 2 fixnum-min) 1)))) |
| 7c24e528 | 353 | (pass-if (even? (* 2 fixnum-min)))) |
| de142bea | 354 | |
| 7112615f MW |
355 | ;;; |
| 356 | ;;; finite? | |
| 357 | ;;; | |
| 358 | ||
| 359 | (with-test-prefix "finite?" | |
| 360 | (pass-if (documented? finite?)) | |
| 361 | (pass-if (not (finite? (inf)))) | |
| 362 | (pass-if (not (finite? +inf.0))) | |
| 363 | (pass-if (not (finite? -inf.0))) | |
| 10391e06 | 364 | (pass-if-exception |
| c9cf90d4 | 365 | "complex numbers not in domain of finite?" |
| 10391e06 AW |
366 | exception:wrong-type-arg |
| 367 | (finite? +inf.0+1i)) | |
| 368 | (pass-if-exception | |
| c9cf90d4 | 369 | "complex numbers not in domain of finite? (2)" |
| 10391e06 AW |
370 | exception:wrong-type-arg |
| 371 | (finite? +1+inf.0i)) | |
| 372 | (pass-if-exception | |
| c9cf90d4 | 373 | "complex numbers not in domain of finite? (3)" |
| 10391e06 AW |
374 | exception:wrong-type-arg |
| 375 | (finite? +1+1i)) | |
| 376 | (pass-if (finite? 3+0i)) | |
| 7112615f MW |
377 | (pass-if (not (finite? (nan)))) |
| 378 | (pass-if (not (finite? +nan.0))) | |
| 7112615f MW |
379 | (pass-if (finite? 0)) |
| 380 | (pass-if (finite? 0.0)) | |
| 381 | (pass-if (finite? -0.0)) | |
| 382 | (pass-if (finite? 42.0)) | |
| 383 | (pass-if (finite? 1/2)) | |
| 7112615f MW |
384 | (pass-if (finite? (+ fixnum-max 1))) |
| 385 | (pass-if (finite? (- fixnum-min 1)))) | |
| 386 | ||
| de142bea | 387 | ;;; |
| 7c24e528 RB |
388 | ;;; inf? and inf |
| 389 | ;;; | |
| 390 | ||
| 391 | (with-test-prefix "inf?" | |
| 392 | (pass-if (documented? inf?)) | |
| 393 | (pass-if (inf? (inf))) | |
| 394 | ;; FIXME: what are the expected behaviors? | |
| 395 | ;; (pass-if (inf? (/ 1.0 0.0)) | |
| 396 | ;; (pass-if (inf? (/ 1 0.0)) | |
| 10391e06 | 397 | (pass-if-exception |
| c9cf90d4 | 398 | "complex numbers not in domain of inf?" |
| 10391e06 AW |
399 | exception:wrong-type-arg |
| 400 | (inf? +1+inf.0i)) | |
| 401 | (pass-if (inf? +inf.0+0i)) | |
| 4d332f19 DH |
402 | (pass-if (not (inf? 0))) |
| 403 | (pass-if (not (inf? 42.0))) | |
| 404 | (pass-if (not (inf? (+ fixnum-max 1)))) | |
| 405 | (pass-if (not (inf? (- fixnum-min 1))))) | |
| 7c24e528 RB |
406 | |
| 407 | ;;; | |
| 408 | ;;; nan? and nan | |
| de142bea DH |
409 | ;;; |
| 410 | ||
| 7c24e528 RB |
411 | (with-test-prefix "nan?" |
| 412 | (pass-if (documented? nan?)) | |
| 413 | (pass-if (nan? (nan))) | |
| 414 | ;; FIXME: other ways we should be able to generate NaN? | |
| 4d332f19 DH |
415 | (pass-if (not (nan? 0))) |
| 416 | (pass-if (not (nan? 42.0))) | |
| 417 | (pass-if (not (nan? (+ fixnum-max 1)))) | |
| 418 | (pass-if (not (nan? (- fixnum-min 1))))) | |
| de142bea | 419 | |
| 7c24e528 RB |
420 | ;;; |
| 421 | ;;; abs | |
| 422 | ;;; | |
| 423 | ||
| 424 | (with-test-prefix "abs" | |
| 425 | (pass-if (documented? abs)) | |
| 426 | (pass-if (zero? (abs 0))) | |
| 427 | (pass-if (= 1 (abs 1))) | |
| 428 | (pass-if (= 1 (abs -1))) | |
| 429 | (pass-if (= (+ fixnum-max 1) (abs (+ fixnum-max 1)))) | |
| 430 | (pass-if (= (+ (- fixnum-min) 1) (abs (- fixnum-min 1)))) | |
| 76903a31 KR |
431 | (pass-if (= 0.0 (abs 0.0))) |
| 432 | (pass-if (= 1.0 (abs 1.0))) | |
| 433 | (pass-if (= 1.0 (abs -1.0))) | |
| 55a8b708 | 434 | (pass-if (real-nan? (abs +nan.0))) |
| 76903a31 KR |
435 | (pass-if (= +inf.0 (abs +inf.0))) |
| 436 | (pass-if (= +inf.0 (abs -inf.0)))) | |
| 437 | ||
| de142bea DH |
438 | ;;; |
| 439 | ;;; quotient | |
| 440 | ;;; | |
| 441 | ||
| 442 | (with-test-prefix "quotient" | |
| 2519490c | 443 | (pass-if (documented? quotient)) |
| de142bea | 444 | |
| de142bea DH |
445 | (with-test-prefix "0 / n" |
| 446 | ||
| 447 | (pass-if "n = 1" | |
| 448 | (eqv? 0 (quotient 0 1))) | |
| 449 | ||
| 450 | (pass-if "n = -1" | |
| 451 | (eqv? 0 (quotient 0 -1))) | |
| 452 | ||
| 21e39e8f DH |
453 | (pass-if "n = 2" |
| 454 | (eqv? 0 (quotient 0 2))) | |
| 455 | ||
| 456 | (pass-if "n = fixnum-max" | |
| 457 | (eqv? 0 (quotient 0 fixnum-max))) | |
| 458 | ||
| 459 | (pass-if "n = fixnum-max + 1" | |
| 460 | (eqv? 0 (quotient 0 (+ fixnum-max 1)))) | |
| 461 | ||
| 462 | (pass-if "n = fixnum-min" | |
| 463 | (eqv? 0 (quotient 0 fixnum-min))) | |
| 464 | ||
| 465 | (pass-if "n = fixnum-min - 1" | |
| 466 | (eqv? 0 (quotient 0 (- fixnum-min 1))))) | |
| de142bea | 467 | |
| 21e39e8f | 468 | (with-test-prefix "1 / n" |
| de142bea DH |
469 | |
| 470 | (pass-if "n = 1" | |
| 471 | (eqv? 1 (quotient 1 1))) | |
| 472 | ||
| 473 | (pass-if "n = -1" | |
| 21e39e8f DH |
474 | (eqv? -1 (quotient 1 -1))) |
| 475 | ||
| 476 | (pass-if "n = 2" | |
| 477 | (eqv? 0 (quotient 1 2))) | |
| de142bea | 478 | |
| 21e39e8f DH |
479 | (pass-if "n = fixnum-max" |
| 480 | (eqv? 0 (quotient 1 fixnum-max))) | |
| de142bea | 481 | |
| 21e39e8f DH |
482 | (pass-if "n = fixnum-max + 1" |
| 483 | (eqv? 0 (quotient 1 (+ fixnum-max 1)))) | |
| de142bea | 484 | |
| 21e39e8f DH |
485 | (pass-if "n = fixnum-min" |
| 486 | (eqv? 0 (quotient 1 fixnum-min))) | |
| 487 | ||
| 488 | (pass-if "n = fixnum-min - 1" | |
| 489 | (eqv? 0 (quotient 1 (- fixnum-min 1))))) | |
| 490 | ||
| 491 | (with-test-prefix "-1 / n" | |
| de142bea DH |
492 | |
| 493 | (pass-if "n = 1" | |
| 21e39e8f | 494 | (eqv? -1 (quotient -1 1))) |
| de142bea DH |
495 | |
| 496 | (pass-if "n = -1" | |
| 497 | (eqv? 1 (quotient -1 -1))) | |
| 498 | ||
| 21e39e8f DH |
499 | (pass-if "n = 2" |
| 500 | (eqv? 0 (quotient -1 2))) | |
| 501 | ||
| 502 | (pass-if "n = fixnum-max" | |
| 503 | (eqv? 0 (quotient -1 fixnum-max))) | |
| 504 | ||
| 505 | (pass-if "n = fixnum-max + 1" | |
| 506 | (eqv? 0 (quotient -1 (+ fixnum-max 1)))) | |
| 507 | ||
| 508 | (pass-if "n = fixnum-min" | |
| 509 | (eqv? 0 (quotient -1 fixnum-min))) | |
| 510 | ||
| 511 | (pass-if "n = fixnum-min - 1" | |
| 512 | (eqv? 0 (quotient -1 (- fixnum-min 1))))) | |
| 513 | ||
| 514 | (with-test-prefix "fixnum-max / n" | |
| 515 | ||
| 516 | (pass-if "n = 1" | |
| 517 | (eqv? fixnum-max (quotient fixnum-max 1))) | |
| 518 | ||
| 519 | (pass-if "n = -1" | |
| 520 | (eqv? (- fixnum-max) (quotient fixnum-max -1))) | |
| 521 | ||
| 522 | (pass-if "n = 2" | |
| 523 | (eqv? fixnum-max (+ (* (quotient fixnum-max 2) 2) 1))) | |
| 524 | ||
| 525 | (pass-if "n = fixnum-max" | |
| 526 | (eqv? 1 (quotient fixnum-max fixnum-max))) | |
| 527 | ||
| 528 | (pass-if "n = fixnum-max + 1" | |
| 529 | (eqv? 0 (quotient fixnum-max (+ fixnum-max 1)))) | |
| 530 | ||
| 531 | (pass-if "n = fixnum-min" | |
| 532 | (eqv? 0 (quotient fixnum-max fixnum-min))) | |
| 533 | ||
| 534 | (pass-if "n = fixnum-min - 1" | |
| 535 | (eqv? 0 (quotient fixnum-max (- fixnum-min 1))))) | |
| 536 | ||
| 537 | (with-test-prefix "(fixnum-max + 1) / n" | |
| 538 | ||
| 539 | (pass-if "n = 1" | |
| 540 | (eqv? (+ fixnum-max 1) (quotient (+ fixnum-max 1) 1))) | |
| 541 | ||
| 542 | (pass-if "n = -1" | |
| 543 | (eqv? (- (+ fixnum-max 1)) (quotient (+ fixnum-max 1) -1))) | |
| 544 | ||
| 545 | (pass-if "n = 2" | |
| 546 | (eqv? (+ fixnum-max 1) (* (quotient (+ fixnum-max 1) 2) 2))) | |
| 547 | ||
| 548 | (pass-if "n = fixnum-max" | |
| 549 | (eqv? 1 (quotient (+ fixnum-max 1) fixnum-max))) | |
| 550 | ||
| 551 | (pass-if "n = fixnum-max + 1" | |
| 552 | (eqv? 1 (quotient (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| 553 | ||
| 554 | (pass-if "n = fixnum-min" | |
| 555 | (eqv? -1 (quotient (+ fixnum-max 1) fixnum-min))) | |
| 556 | ||
| 557 | (pass-if "n = fixnum-min - 1" | |
| 558 | (eqv? 0 (quotient (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 559 | ||
| 560 | (with-test-prefix "fixnum-min / n" | |
| 561 | ||
| 562 | (pass-if "n = 1" | |
| 563 | (eqv? fixnum-min (quotient fixnum-min 1))) | |
| 564 | ||
| 565 | (pass-if "n = -1" | |
| 566 | (eqv? (- fixnum-min) (quotient fixnum-min -1))) | |
| 567 | ||
| 568 | (pass-if "n = 2" | |
| 569 | (eqv? fixnum-min (* (quotient fixnum-min 2) 2))) | |
| 570 | ||
| 571 | (pass-if "n = fixnum-max" | |
| 572 | (eqv? -1 (quotient fixnum-min fixnum-max))) | |
| 573 | ||
| 574 | (pass-if "n = fixnum-max + 1" | |
| 575 | (eqv? -1 (quotient fixnum-min (+ fixnum-max 1)))) | |
| 576 | ||
| 577 | (pass-if "n = fixnum-min" | |
| 578 | (eqv? 1 (quotient fixnum-min fixnum-min))) | |
| 579 | ||
| 580 | (pass-if "n = fixnum-min - 1" | |
| ad22fe7c KR |
581 | (eqv? 0 (quotient fixnum-min (- fixnum-min 1)))) |
| 582 | ||
| 583 | (pass-if "n = - fixnum-min - 1" | |
| 584 | (eqv? -1 (quotient fixnum-min (1- (- fixnum-min))))) | |
| 585 | ||
| 586 | ;; special case, normally inum/big is zero | |
| 587 | (pass-if "n = - fixnum-min" | |
| 588 | (eqv? -1 (quotient fixnum-min (- fixnum-min)))) | |
| 589 | ||
| 590 | (pass-if "n = - fixnum-min + 1" | |
| 591 | (eqv? 0 (quotient fixnum-min (1+ (- fixnum-min)))))) | |
| 21e39e8f DH |
592 | |
| 593 | (with-test-prefix "(fixnum-min - 1) / n" | |
| 594 | ||
| 595 | (pass-if "n = 1" | |
| 596 | (eqv? (- fixnum-min 1) (quotient (- fixnum-min 1) 1))) | |
| 597 | ||
| 598 | (pass-if "n = -1" | |
| 599 | (eqv? (- (- fixnum-min 1)) (quotient (- fixnum-min 1) -1))) | |
| 600 | ||
| 601 | (pass-if "n = 2" | |
| 602 | (eqv? fixnum-min (* (quotient (- fixnum-min 1) 2) 2))) | |
| 603 | ||
| 604 | (pass-if "n = fixnum-max" | |
| 605 | (eqv? -1 (quotient (- fixnum-min 1) fixnum-max))) | |
| 606 | ||
| 607 | (pass-if "n = fixnum-max + 1" | |
| 608 | (eqv? -1 (quotient (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 609 | ||
| 610 | (pass-if "n = fixnum-min" | |
| 611 | (eqv? 1 (quotient (- fixnum-min 1) fixnum-min))) | |
| 612 | ||
| 613 | (pass-if "n = fixnum-min - 1" | |
| 614 | (eqv? 1 (quotient (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea DH |
615 | |
| 616 | ;; Positive dividend and divisor | |
| 617 | ||
| 618 | (pass-if "35 / 7" | |
| 619 | (eqv? 5 (quotient 35 7))) | |
| 620 | ||
| 621 | ;; Negative dividend, positive divisor | |
| 622 | ||
| 623 | (pass-if "-35 / 7" | |
| 624 | (eqv? -5 (quotient -35 7))) | |
| 625 | ||
| 626 | ;; Positive dividend, negative divisor | |
| 627 | ||
| 628 | (pass-if "35 / -7" | |
| 629 | (eqv? -5 (quotient 35 -7))) | |
| 630 | ||
| 631 | ;; Negative dividend and divisor | |
| 632 | ||
| 633 | (pass-if "-35 / -7" | |
| 634 | (eqv? 5 (quotient -35 -7))) | |
| 635 | ||
| 636 | ;; Are numerical overflows detected correctly? | |
| 637 | ||
| 80074d77 DH |
638 | (with-test-prefix "division by zero" |
| 639 | ||
| 640 | (pass-if-exception "(quotient 1 0)" | |
| 641 | exception:numerical-overflow | |
| 642 | (quotient 1 0)) | |
| 643 | ||
| 644 | (pass-if-exception "(quotient bignum 0)" | |
| 645 | exception:numerical-overflow | |
| 646 | (quotient (+ fixnum-max 1) 0))) | |
| 647 | ||
| de142bea DH |
648 | ;; Are wrong type arguments detected correctly? |
| 649 | ||
| 650 | ) | |
| 651 | ||
| 652 | ;;; | |
| 653 | ;;; remainder | |
| 654 | ;;; | |
| 655 | ||
| 656 | (with-test-prefix "remainder" | |
| 2519490c | 657 | (pass-if (documented? remainder)) |
| de142bea | 658 | |
| de142bea DH |
659 | (with-test-prefix "0 / n" |
| 660 | ||
| 661 | (pass-if "n = 1" | |
| 662 | (eqv? 0 (remainder 0 1))) | |
| 663 | ||
| 664 | (pass-if "n = -1" | |
| 665 | (eqv? 0 (remainder 0 -1))) | |
| 666 | ||
| 21e39e8f DH |
667 | (pass-if "n = fixnum-max" |
| 668 | (eqv? 0 (remainder 0 fixnum-max))) | |
| 669 | ||
| 670 | (pass-if "n = fixnum-max + 1" | |
| 671 | (eqv? 0 (remainder 0 (+ fixnum-max 1)))) | |
| 672 | ||
| 673 | (pass-if "n = fixnum-min" | |
| 674 | (eqv? 0 (remainder 0 fixnum-min))) | |
| de142bea | 675 | |
| 21e39e8f DH |
676 | (pass-if "n = fixnum-min - 1" |
| 677 | (eqv? 0 (remainder 0 (- fixnum-min 1))))) | |
| de142bea | 678 | |
| 21e39e8f | 679 | (with-test-prefix "1 / n" |
| de142bea DH |
680 | |
| 681 | (pass-if "n = 1" | |
| 682 | (eqv? 0 (remainder 1 1))) | |
| 683 | ||
| 684 | (pass-if "n = -1" | |
| 21e39e8f DH |
685 | (eqv? 0 (remainder 1 -1))) |
| 686 | ||
| 687 | (pass-if "n = fixnum-max" | |
| 688 | (eqv? 1 (remainder 1 fixnum-max))) | |
| de142bea | 689 | |
| 21e39e8f DH |
690 | (pass-if "n = fixnum-max + 1" |
| 691 | (eqv? 1 (remainder 1 (+ fixnum-max 1)))) | |
| de142bea | 692 | |
| 21e39e8f DH |
693 | (pass-if "n = fixnum-min" |
| 694 | (eqv? 1 (remainder 1 fixnum-min))) | |
| de142bea | 695 | |
| 21e39e8f DH |
696 | (pass-if "n = fixnum-min - 1" |
| 697 | (eqv? 1 (remainder 1 (- fixnum-min 1))))) | |
| 698 | ||
| 699 | (with-test-prefix "-1 / n" | |
| de142bea DH |
700 | |
| 701 | (pass-if "n = 1" | |
| 21e39e8f | 702 | (eqv? 0 (remainder -1 1))) |
| de142bea DH |
703 | |
| 704 | (pass-if "n = -1" | |
| 705 | (eqv? 0 (remainder -1 -1))) | |
| 706 | ||
| 21e39e8f DH |
707 | (pass-if "n = fixnum-max" |
| 708 | (eqv? -1 (remainder -1 fixnum-max))) | |
| 709 | ||
| 710 | (pass-if "n = fixnum-max + 1" | |
| 711 | (eqv? -1 (remainder -1 (+ fixnum-max 1)))) | |
| 712 | ||
| 713 | (pass-if "n = fixnum-min" | |
| 714 | (eqv? -1 (remainder -1 fixnum-min))) | |
| 715 | ||
| 716 | (pass-if "n = fixnum-min - 1" | |
| 717 | (eqv? -1 (remainder -1 (- fixnum-min 1))))) | |
| 718 | ||
| 719 | (with-test-prefix "fixnum-max / n" | |
| 720 | ||
| 721 | (pass-if "n = 1" | |
| 722 | (eqv? 0 (remainder fixnum-max 1))) | |
| 723 | ||
| 724 | (pass-if "n = -1" | |
| 725 | (eqv? 0 (remainder fixnum-max -1))) | |
| 726 | ||
| 727 | (pass-if "n = fixnum-max" | |
| 728 | (eqv? 0 (remainder fixnum-max fixnum-max))) | |
| 729 | ||
| 730 | (pass-if "n = fixnum-max + 1" | |
| 731 | (eqv? fixnum-max (remainder fixnum-max (+ fixnum-max 1)))) | |
| 732 | ||
| 733 | (pass-if "n = fixnum-min" | |
| 734 | (eqv? fixnum-max (remainder fixnum-max fixnum-min))) | |
| 735 | ||
| 736 | (pass-if "n = fixnum-min - 1" | |
| 737 | (eqv? fixnum-max (remainder fixnum-max (- fixnum-min 1))))) | |
| 738 | ||
| 739 | (with-test-prefix "(fixnum-max + 1) / n" | |
| 740 | ||
| 741 | (pass-if "n = 1" | |
| 742 | (eqv? 0 (remainder (+ fixnum-max 1) 1))) | |
| 743 | ||
| 744 | (pass-if "n = -1" | |
| 745 | (eqv? 0 (remainder (+ fixnum-max 1) -1))) | |
| 746 | ||
| 747 | (pass-if "n = fixnum-max" | |
| 748 | (eqv? 1 (remainder (+ fixnum-max 1) fixnum-max))) | |
| 749 | ||
| 750 | (pass-if "n = fixnum-max + 1" | |
| 751 | (eqv? 0 (remainder (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| 752 | ||
| 753 | (pass-if "n = fixnum-min" | |
| 754 | (eqv? 0 (remainder (+ fixnum-max 1) fixnum-min))) | |
| 755 | ||
| 756 | (pass-if "n = fixnum-min - 1" | |
| 757 | (eqv? (+ fixnum-max 1) (remainder (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 758 | ||
| 759 | (with-test-prefix "fixnum-min / n" | |
| 760 | ||
| 761 | (pass-if "n = 1" | |
| 762 | (eqv? 0 (remainder fixnum-min 1))) | |
| 763 | ||
| 764 | (pass-if "n = -1" | |
| 765 | (eqv? 0 (remainder fixnum-min -1))) | |
| 766 | ||
| 767 | (pass-if "n = fixnum-max" | |
| 768 | (eqv? -1 (remainder fixnum-min fixnum-max))) | |
| 769 | ||
| 770 | (pass-if "n = fixnum-max + 1" | |
| 771 | (eqv? 0 (remainder fixnum-min (+ fixnum-max 1)))) | |
| 772 | ||
| 773 | (pass-if "n = fixnum-min" | |
| 774 | (eqv? 0 (remainder fixnum-min fixnum-min))) | |
| 775 | ||
| 776 | (pass-if "n = fixnum-min - 1" | |
| ad22fe7c KR |
777 | (eqv? fixnum-min (remainder fixnum-min (- fixnum-min 1)))) |
| 778 | ||
| 779 | (pass-if "n = - fixnum-min - 1" | |
| 780 | (eqv? -1 (remainder fixnum-min (1- (- fixnum-min))))) | |
| 781 | ||
| 782 | ;; special case, normally inum%big is the inum | |
| 783 | (pass-if "n = - fixnum-min" | |
| 784 | (eqv? 0 (remainder fixnum-min (- fixnum-min)))) | |
| 785 | ||
| 786 | (pass-if "n = - fixnum-min + 1" | |
| 787 | (eqv? fixnum-min (remainder fixnum-min (1+ (- fixnum-min)))))) | |
| 21e39e8f DH |
788 | |
| 789 | (with-test-prefix "(fixnum-min - 1) / n" | |
| 790 | ||
| 791 | (pass-if "n = 1" | |
| 792 | (eqv? 0 (remainder (- fixnum-min 1) 1))) | |
| 793 | ||
| 794 | (pass-if "n = -1" | |
| 795 | (eqv? 0 (remainder (- fixnum-min 1) -1))) | |
| 796 | ||
| 797 | (pass-if "n = fixnum-max" | |
| 798 | (eqv? -2 (remainder (- fixnum-min 1) fixnum-max))) | |
| 799 | ||
| 800 | (pass-if "n = fixnum-max + 1" | |
| 801 | (eqv? -1 (remainder (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 802 | ||
| 803 | (pass-if "n = fixnum-min" | |
| 804 | (eqv? -1 (remainder (- fixnum-min 1) fixnum-min))) | |
| 805 | ||
| 806 | (pass-if "n = fixnum-min - 1" | |
| 807 | (eqv? 0 (remainder (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea DH |
808 | |
| 809 | ;; Positive dividend and divisor | |
| 810 | ||
| 811 | (pass-if "35 / 7" | |
| 812 | (eqv? 0 (remainder 35 7))) | |
| 813 | ||
| 814 | ;; Negative dividend, positive divisor | |
| 815 | ||
| 816 | (pass-if "-35 / 7" | |
| 817 | (eqv? 0 (remainder -35 7))) | |
| 818 | ||
| 819 | ;; Positive dividend, negative divisor | |
| 820 | ||
| 821 | (pass-if "35 / -7" | |
| 822 | (eqv? 0 (remainder 35 -7))) | |
| 823 | ||
| 824 | ;; Negative dividend and divisor | |
| 825 | ||
| 826 | (pass-if "-35 / -7" | |
| 827 | (eqv? 0 (remainder -35 -7))) | |
| 828 | ||
| 829 | ;; Are numerical overflows detected correctly? | |
| 830 | ||
| 80074d77 DH |
831 | (with-test-prefix "division by zero" |
| 832 | ||
| 833 | (pass-if-exception "(remainder 1 0)" | |
| 834 | exception:numerical-overflow | |
| 835 | (remainder 1 0)) | |
| 836 | ||
| 837 | (pass-if-exception "(remainder bignum 0)" | |
| 838 | exception:numerical-overflow | |
| 839 | (remainder (+ fixnum-max 1) 0))) | |
| 840 | ||
| de142bea DH |
841 | ;; Are wrong type arguments detected correctly? |
| 842 | ||
| 843 | ) | |
| 844 | ||
| 845 | ;;; | |
| 846 | ;;; modulo | |
| 847 | ;;; | |
| 848 | ||
| 849 | (with-test-prefix "modulo" | |
| 2519490c | 850 | (pass-if (documented? modulo)) |
| de142bea | 851 | |
| de142bea DH |
852 | (with-test-prefix "0 % n" |
| 853 | ||
| 854 | (pass-if "n = 1" | |
| 855 | (eqv? 0 (modulo 0 1))) | |
| 856 | ||
| 857 | (pass-if "n = -1" | |
| 858 | (eqv? 0 (modulo 0 -1))) | |
| 859 | ||
| 21e39e8f DH |
860 | (pass-if "n = fixnum-max" |
| 861 | (eqv? 0 (modulo 0 fixnum-max))) | |
| 862 | ||
| 863 | (pass-if "n = fixnum-max + 1" | |
| 864 | (eqv? 0 (modulo 0 (+ fixnum-max 1)))) | |
| de142bea | 865 | |
| 21e39e8f DH |
866 | (pass-if "n = fixnum-min" |
| 867 | (eqv? 0 (modulo 0 fixnum-min))) | |
| de142bea | 868 | |
| 21e39e8f DH |
869 | (pass-if "n = fixnum-min - 1" |
| 870 | (eqv? 0 (modulo 0 (- fixnum-min 1))))) | |
| 871 | ||
| 872 | (with-test-prefix "1 % n" | |
| de142bea DH |
873 | |
| 874 | (pass-if "n = 1" | |
| 875 | (eqv? 0 (modulo 1 1))) | |
| 876 | ||
| 877 | (pass-if "n = -1" | |
| 21e39e8f | 878 | (eqv? 0 (modulo 1 -1))) |
| de142bea | 879 | |
| 21e39e8f DH |
880 | (pass-if "n = fixnum-max" |
| 881 | (eqv? 1 (modulo 1 fixnum-max))) | |
| de142bea | 882 | |
| 21e39e8f DH |
883 | (pass-if "n = fixnum-max + 1" |
| 884 | (eqv? 1 (modulo 1 (+ fixnum-max 1)))) | |
| de142bea | 885 | |
| 21e39e8f DH |
886 | (pass-if "n = fixnum-min" |
| 887 | (eqv? (+ fixnum-min 1) (modulo 1 fixnum-min))) | |
| 888 | ||
| 889 | (pass-if "n = fixnum-min - 1" | |
| 890 | (eqv? fixnum-min (modulo 1 (- fixnum-min 1))))) | |
| 891 | ||
| 892 | (with-test-prefix "-1 % n" | |
| de142bea DH |
893 | |
| 894 | (pass-if "n = 1" | |
| 21e39e8f | 895 | (eqv? 0 (modulo -1 1))) |
| de142bea DH |
896 | |
| 897 | (pass-if "n = -1" | |
| 898 | (eqv? 0 (modulo -1 -1))) | |
| 899 | ||
| 21e39e8f DH |
900 | (pass-if "n = fixnum-max" |
| 901 | (eqv? (- fixnum-max 1) (modulo -1 fixnum-max))) | |
| 902 | ||
| 903 | (pass-if "n = fixnum-max + 1" | |
| 904 | (eqv? fixnum-max (modulo -1 (+ fixnum-max 1)))) | |
| 905 | ||
| 906 | (pass-if "n = fixnum-min" | |
| 907 | (eqv? -1 (modulo -1 fixnum-min))) | |
| 908 | ||
| 909 | (pass-if "n = fixnum-min - 1" | |
| 910 | (eqv? -1 (modulo -1 (- fixnum-min 1))))) | |
| 911 | ||
| 912 | (with-test-prefix "fixnum-max % n" | |
| 913 | ||
| 914 | (pass-if "n = 1" | |
| 915 | (eqv? 0 (modulo fixnum-max 1))) | |
| 916 | ||
| 917 | (pass-if "n = -1" | |
| 918 | (eqv? 0 (modulo fixnum-max -1))) | |
| 919 | ||
| 920 | (pass-if "n = fixnum-max" | |
| 921 | (eqv? 0 (modulo fixnum-max fixnum-max))) | |
| 922 | ||
| 923 | (pass-if "n = fixnum-max + 1" | |
| 924 | (eqv? fixnum-max (modulo fixnum-max (+ fixnum-max 1)))) | |
| 925 | ||
| 926 | (pass-if "n = fixnum-min" | |
| 927 | (eqv? -1 (modulo fixnum-max fixnum-min))) | |
| 928 | ||
| 929 | (pass-if "n = fixnum-min - 1" | |
| 930 | (eqv? -2 (modulo fixnum-max (- fixnum-min 1))))) | |
| 931 | ||
| 932 | (with-test-prefix "(fixnum-max + 1) % n" | |
| 933 | ||
| 934 | (pass-if "n = 1" | |
| 935 | (eqv? 0 (modulo (+ fixnum-max 1) 1))) | |
| 936 | ||
| 937 | (pass-if "n = -1" | |
| 938 | (eqv? 0 (modulo (+ fixnum-max 1) -1))) | |
| 939 | ||
| 940 | (pass-if "n = fixnum-max" | |
| 941 | (eqv? 1 (modulo (+ fixnum-max 1) fixnum-max))) | |
| 942 | ||
| 943 | (pass-if "n = fixnum-max + 1" | |
| 944 | (eqv? 0 (modulo (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| 945 | ||
| 946 | (pass-if "n = fixnum-min" | |
| 947 | (eqv? 0 (modulo (+ fixnum-max 1) fixnum-min))) | |
| 948 | ||
| 949 | (pass-if "n = fixnum-min - 1" | |
| 950 | (eqv? -1 (modulo (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 951 | ||
| 952 | (with-test-prefix "fixnum-min % n" | |
| 953 | ||
| 954 | (pass-if "n = 1" | |
| 955 | (eqv? 0 (modulo fixnum-min 1))) | |
| 956 | ||
| 957 | (pass-if "n = -1" | |
| 958 | (eqv? 0 (modulo fixnum-min -1))) | |
| 959 | ||
| 960 | (pass-if "n = fixnum-max" | |
| 961 | (eqv? (- fixnum-max 1) (modulo fixnum-min fixnum-max))) | |
| 962 | ||
| 963 | (pass-if "n = fixnum-max + 1" | |
| 964 | (eqv? 0 (modulo fixnum-min (+ fixnum-max 1)))) | |
| 965 | ||
| 966 | (pass-if "n = fixnum-min" | |
| 967 | (eqv? 0 (modulo fixnum-min fixnum-min))) | |
| 968 | ||
| 969 | (pass-if "n = fixnum-min - 1" | |
| 970 | (eqv? fixnum-min (modulo fixnum-min (- fixnum-min 1))))) | |
| 971 | ||
| 972 | (with-test-prefix "(fixnum-min - 1) % n" | |
| 973 | ||
| 974 | (pass-if "n = 1" | |
| 975 | (eqv? 0 (modulo (- fixnum-min 1) 1))) | |
| 976 | ||
| 977 | (pass-if "n = -1" | |
| 978 | (eqv? 0 (modulo (- fixnum-min 1) -1))) | |
| 979 | ||
| 980 | (pass-if "n = fixnum-max" | |
| 981 | (eqv? (- fixnum-max 2) (modulo (- fixnum-min 1) fixnum-max))) | |
| 982 | ||
| 983 | (pass-if "n = fixnum-max + 1" | |
| 984 | (eqv? fixnum-max (modulo (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 985 | ||
| 986 | (pass-if "n = fixnum-min" | |
| 987 | (eqv? -1 (modulo (- fixnum-min 1) fixnum-min))) | |
| 988 | ||
| 989 | (pass-if "n = fixnum-min - 1" | |
| 990 | (eqv? 0 (modulo (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea DH |
991 | |
| 992 | ;; Positive dividend and divisor | |
| 993 | ||
| 994 | (pass-if "13 % 4" | |
| 995 | (eqv? 1 (modulo 13 4))) | |
| 996 | ||
| 997 | (pass-if "2177452800 % 86400" | |
| 998 | (eqv? 0 (modulo 2177452800 86400))) | |
| 999 | ||
| 1000 | ;; Negative dividend, positive divisor | |
| 1001 | ||
| 1002 | (pass-if "-13 % 4" | |
| 1003 | (eqv? 3 (modulo -13 4))) | |
| 1004 | ||
| 1005 | (pass-if "-2177452800 % 86400" | |
| 1006 | (eqv? 0 (modulo -2177452800 86400))) | |
| 1007 | ||
| 1008 | ;; Positive dividend, negative divisor | |
| 1009 | ||
| 1010 | (pass-if "13 % -4" | |
| 1011 | (eqv? -3 (modulo 13 -4))) | |
| 1012 | ||
| 1013 | (pass-if "2177452800 % -86400" | |
| 1014 | (eqv? 0 (modulo 2177452800 -86400))) | |
| 1015 | ||
| 1016 | ;; Negative dividend and divisor | |
| 1017 | ||
| 1018 | (pass-if "-13 % -4" | |
| 1019 | (eqv? -1 (modulo -13 -4))) | |
| 1020 | ||
| 1021 | (pass-if "-2177452800 % -86400" | |
| 1022 | (eqv? 0 (modulo -2177452800 -86400))) | |
| 1023 | ||
| 1024 | ;; Are numerical overflows detected correctly? | |
| 1025 | ||
| 80074d77 DH |
1026 | (with-test-prefix "division by zero" |
| 1027 | ||
| 1028 | (pass-if-exception "(modulo 1 0)" | |
| 1029 | exception:numerical-overflow | |
| 1030 | (modulo 1 0)) | |
| 1031 | ||
| 1032 | (pass-if-exception "(modulo bignum 0)" | |
| 1033 | exception:numerical-overflow | |
| 1034 | (modulo (+ fixnum-max 1) 0))) | |
| 1035 | ||
| de142bea DH |
1036 | ;; Are wrong type arguments detected correctly? |
| 1037 | ||
| 1038 | ) | |
| 1039 | ||
| 24360e11 KR |
1040 | ;;; |
| 1041 | ;;; modulo-expt | |
| 1042 | ;;; | |
| 1043 | ||
| 1044 | (with-test-prefix "modulo-expt" | |
| 1045 | (pass-if (= 1 (modulo-expt 17 23 47))) | |
| 1046 | ||
| 1047 | (pass-if (= 1 (modulo-expt 17 -23 47))) | |
| 1048 | ||
| 1049 | (pass-if (= 17 (modulo-expt 17 -22 47))) | |
| 1050 | ||
| 1051 | (pass-if (= 36 (modulo-expt 17 22 47))) | |
| 1052 | ||
| 1053 | (pass-if (= 183658794479969134816674175082294846241553725240 (modulo-expt 111122223333444455556666 111122223333444455556666 1153478690012629968439432872520758982731022934717))) | |
| 1054 | ||
| 1055 | (pass-if-exception | |
| 1056 | "Proper exception with 0 modulus" | |
| 18ee5de9 | 1057 | exception:numerical-overflow |
| 24360e11 KR |
1058 | (modulo-expt 17 23 0)) |
| 1059 | ||
| 1060 | (pass-if-exception | |
| 1061 | "Proper exception when result not invertible" | |
| 18ee5de9 | 1062 | exception:numerical-overflow |
| 24360e11 KR |
1063 | (modulo-expt 10 -1 48)) |
| 1064 | ||
| 1065 | (pass-if-exception | |
| 1066 | "Proper exception with wrong type argument" | |
| 18ee5de9 | 1067 | exception:wrong-type-arg |
| 24360e11 KR |
1068 | (modulo-expt "Sam" 23 10)) |
| 1069 | ||
| 1070 | (pass-if-exception | |
| 1071 | "Proper exception with wrong type argument" | |
| 18ee5de9 | 1072 | exception:wrong-type-arg |
| 24360e11 KR |
1073 | (modulo-expt 17 9.9 10)) |
| 1074 | ||
| 1075 | (pass-if-exception | |
| 1076 | "Proper exception with wrong type argument" | |
| 18ee5de9 | 1077 | exception:wrong-type-arg |
| 24360e11 KR |
1078 | (modulo-expt 17 23 'Ethel))) |
| 1079 | ||
| ba46895c KR |
1080 | ;;; |
| 1081 | ;;; numerator | |
| 1082 | ;;; | |
| 1083 | ||
| 1084 | (with-test-prefix "numerator" | |
| 1085 | (pass-if "0" | |
| 1086 | (eqv? 0 (numerator 0))) | |
| 1087 | (pass-if "1" | |
| 1088 | (eqv? 1 (numerator 1))) | |
| 1089 | (pass-if "2" | |
| 1090 | (eqv? 2 (numerator 2))) | |
| 1091 | (pass-if "-1" | |
| 1092 | (eqv? -1 (numerator -1))) | |
| 1093 | (pass-if "-2" | |
| 1094 | (eqv? -2 (numerator -2))) | |
| 1095 | ||
| 1096 | (pass-if "0.0" | |
| 1097 | (eqv? 0.0 (numerator 0.0))) | |
| 1098 | (pass-if "1.0" | |
| 1099 | (eqv? 1.0 (numerator 1.0))) | |
| 1100 | (pass-if "2.0" | |
| 1101 | (eqv? 2.0 (numerator 2.0))) | |
| 1102 | (pass-if "-1.0" | |
| 1103 | (eqv? -1.0 (numerator -1.0))) | |
| 1104 | (pass-if "-2.0" | |
| 1105 | (eqv? -2.0 (numerator -2.0))) | |
| 1106 | ||
| 1107 | (pass-if "0.5" | |
| 1108 | (eqv? 1.0 (numerator 0.5))) | |
| 1109 | (pass-if "0.25" | |
| 1110 | (eqv? 1.0 (numerator 0.25))) | |
| 1111 | (pass-if "0.75" | |
| 1112 | (eqv? 3.0 (numerator 0.75)))) | |
| 1113 | ||
| 1114 | ;;; | |
| 1115 | ;;; denominator | |
| 1116 | ;;; | |
| 1117 | ||
| 1118 | (with-test-prefix "denominator" | |
| 1119 | (pass-if "0" | |
| 1120 | (eqv? 1 (denominator 0))) | |
| 1121 | (pass-if "1" | |
| 1122 | (eqv? 1 (denominator 1))) | |
| 1123 | (pass-if "2" | |
| 1124 | (eqv? 1 (denominator 2))) | |
| 1125 | (pass-if "-1" | |
| 1126 | (eqv? 1 (denominator -1))) | |
| 1127 | (pass-if "-2" | |
| 1128 | (eqv? 1 (denominator -2))) | |
| 1129 | ||
| 1130 | (pass-if "0.0" | |
| 1131 | (eqv? 1.0 (denominator 0.0))) | |
| 1132 | (pass-if "1.0" | |
| 1133 | (eqv? 1.0 (denominator 1.0))) | |
| 1134 | (pass-if "2.0" | |
| 1135 | (eqv? 1.0 (denominator 2.0))) | |
| 1136 | (pass-if "-1.0" | |
| 1137 | (eqv? 1.0 (denominator -1.0))) | |
| 1138 | (pass-if "-2.0" | |
| 1139 | (eqv? 1.0 (denominator -2.0))) | |
| 1140 | ||
| 1141 | (pass-if "0.5" | |
| 1142 | (eqv? 2.0 (denominator 0.5))) | |
| 1143 | (pass-if "0.25" | |
| 1144 | (eqv? 4.0 (denominator 0.25))) | |
| 1145 | (pass-if "0.75" | |
| 1146 | (eqv? 4.0 (denominator 0.75)))) | |
| 1147 | ||
| de142bea DH |
1148 | ;;; |
| 1149 | ;;; gcd | |
| 1150 | ;;; | |
| 1151 | ||
| 1152 | (with-test-prefix "gcd" | |
| 1153 | ||
| d389e966 | 1154 | (pass-if "documented?" |
| cb18f2a8 | 1155 | (documented? gcd)) |
| de142bea | 1156 | |
| 1dd79792 NJ |
1157 | (with-test-prefix "(n)" |
| 1158 | ||
| 1159 | (pass-if "n = -2" | |
| 1160 | (eqv? 2 (gcd -2)))) | |
| 1161 | ||
| de142bea DH |
1162 | (with-test-prefix "(0 n)" |
| 1163 | ||
| 21e39e8f DH |
1164 | (pass-if "n = 0" |
| 1165 | (eqv? 0 (gcd 0 0))) | |
| 1166 | ||
| de142bea DH |
1167 | (pass-if "n = 1" |
| 1168 | (eqv? 1 (gcd 0 1))) | |
| 1169 | ||
| 1170 | (pass-if "n = -1" | |
| 1171 | (eqv? 1 (gcd 0 -1))) | |
| 1172 | ||
| 21e39e8f DH |
1173 | (pass-if "n = fixnum-max" |
| 1174 | (eqv? fixnum-max (gcd 0 fixnum-max))) | |
| de142bea | 1175 | |
| 21e39e8f DH |
1176 | (pass-if "n = fixnum-max + 1" |
| 1177 | (eqv? (+ fixnum-max 1) (gcd 0 (+ fixnum-max 1)))) | |
| de142bea | 1178 | |
| 21e39e8f DH |
1179 | (pass-if "n = fixnum-min" |
| 1180 | (eqv? (- fixnum-min) (gcd 0 fixnum-min))) | |
| de142bea | 1181 | |
| 21e39e8f DH |
1182 | (pass-if "n = fixnum-min - 1" |
| 1183 | (eqv? (- (- fixnum-min 1)) (gcd 0 (- fixnum-min 1))))) | |
| 1184 | ||
| db386f80 KR |
1185 | (with-test-prefix "(n 0)" |
| 1186 | ||
| 1187 | (pass-if "n = 2^128 * fixnum-max" | |
| 1188 | (eqv? (ash fixnum-max 128) (gcd (ash fixnum-max 128) 0)))) | |
| 1189 | ||
| 21e39e8f DH |
1190 | (with-test-prefix "(1 n)" |
| 1191 | ||
| 1192 | (pass-if "n = 0" | |
| de142bea DH |
1193 | (eqv? 1 (gcd 1 0))) |
| 1194 | ||
| 21e39e8f DH |
1195 | (pass-if "n = 1" |
| 1196 | (eqv? 1 (gcd 1 1))) | |
| 1197 | ||
| de142bea | 1198 | (pass-if "n = -1" |
| 21e39e8f DH |
1199 | (eqv? 1 (gcd 1 -1))) |
| 1200 | ||
| 1201 | (pass-if "n = fixnum-max" | |
| 1202 | (eqv? 1 (gcd 1 fixnum-max))) | |
| 1203 | ||
| 1204 | (pass-if "n = fixnum-max + 1" | |
| 1205 | (eqv? 1 (gcd 1 (+ fixnum-max 1)))) | |
| 1206 | ||
| 1207 | (pass-if "n = fixnum-min" | |
| 1208 | (eqv? 1 (gcd 1 fixnum-min))) | |
| 1209 | ||
| 1210 | (pass-if "n = fixnum-min - 1" | |
| 1211 | (eqv? 1 (gcd 1 (- fixnum-min 1))))) | |
| 1212 | ||
| 1213 | (with-test-prefix "(-1 n)" | |
| 1214 | ||
| 1215 | (pass-if "n = 0" | |
| de142bea DH |
1216 | (eqv? 1 (gcd -1 0))) |
| 1217 | ||
| 21e39e8f DH |
1218 | (pass-if "n = 1" |
| 1219 | (eqv? 1 (gcd -1 1))) | |
| de142bea | 1220 | |
| 21e39e8f DH |
1221 | (pass-if "n = -1" |
| 1222 | (eqv? 1 (gcd -1 -1))) | |
| de142bea | 1223 | |
| 21e39e8f DH |
1224 | (pass-if "n = fixnum-max" |
| 1225 | (eqv? 1 (gcd -1 fixnum-max))) | |
| 1226 | ||
| 1227 | (pass-if "n = fixnum-max + 1" | |
| 1228 | (eqv? 1 (gcd -1 (+ fixnum-max 1)))) | |
| 1229 | ||
| 1230 | (pass-if "n = fixnum-min" | |
| 1231 | (eqv? 1 (gcd -1 fixnum-min))) | |
| 1232 | ||
| 1233 | (pass-if "n = fixnum-min - 1" | |
| 1234 | (eqv? 1 (gcd -1 (- fixnum-min 1))))) | |
| 1235 | ||
| 1236 | (with-test-prefix "(fixnum-max n)" | |
| 1237 | ||
| 1238 | (pass-if "n = 0" | |
| 1239 | (eqv? fixnum-max (gcd fixnum-max 0))) | |
| de142bea DH |
1240 | |
| 1241 | (pass-if "n = 1" | |
| 21e39e8f | 1242 | (eqv? 1 (gcd fixnum-max 1))) |
| de142bea DH |
1243 | |
| 1244 | (pass-if "n = -1" | |
| 21e39e8f DH |
1245 | (eqv? 1 (gcd fixnum-max -1))) |
| 1246 | ||
| 1247 | (pass-if "n = fixnum-max" | |
| 1248 | (eqv? fixnum-max (gcd fixnum-max fixnum-max))) | |
| de142bea | 1249 | |
| 21e39e8f DH |
1250 | (pass-if "n = fixnum-max + 1" |
| 1251 | (eqv? 1 (gcd fixnum-max (+ fixnum-max 1)))) | |
| de142bea | 1252 | |
| 21e39e8f DH |
1253 | (pass-if "n = fixnum-min" |
| 1254 | (eqv? 1 (gcd fixnum-max fixnum-min))) | |
| de142bea | 1255 | |
| 21e39e8f DH |
1256 | (pass-if "n = fixnum-min - 1" |
| 1257 | (eqv? 1 (gcd fixnum-max (- fixnum-min 1))))) | |
| 1258 | ||
| 1259 | (with-test-prefix "((+ fixnum-max 1) n)" | |
| 1260 | ||
| 1261 | (pass-if "n = 0" | |
| 1262 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) 0))) | |
| 1263 | ||
| 1264 | (pass-if "n = 1" | |
| 1265 | (eqv? 1 (gcd (+ fixnum-max 1) 1))) | |
| de142bea DH |
1266 | |
| 1267 | (pass-if "n = -1" | |
| 21e39e8f | 1268 | (eqv? 1 (gcd (+ fixnum-max 1) -1))) |
| de142bea | 1269 | |
| 21e39e8f DH |
1270 | (pass-if "n = fixnum-max" |
| 1271 | (eqv? 1 (gcd (+ fixnum-max 1) fixnum-max))) | |
| de142bea | 1272 | |
| 21e39e8f DH |
1273 | (pass-if "n = fixnum-max + 1" |
| 1274 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| de142bea | 1275 | |
| 21e39e8f DH |
1276 | (pass-if "n = fixnum-min" |
| 1277 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) fixnum-min))) | |
| 1278 | ||
| 1279 | (pass-if "n = fixnum-min - 1" | |
| 1280 | (eqv? 1 (gcd (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 1281 | ||
| 1282 | (with-test-prefix "(fixnum-min n)" | |
| 1283 | ||
| 1284 | (pass-if "n = 0" | |
| 1285 | (eqv? (- fixnum-min) (gcd fixnum-min 0))) | |
| 1286 | ||
| 1287 | (pass-if "n = 1" | |
| 1288 | (eqv? 1 (gcd fixnum-min 1))) | |
| de142bea DH |
1289 | |
| 1290 | (pass-if "n = -1" | |
| 21e39e8f DH |
1291 | (eqv? 1 (gcd fixnum-min -1))) |
| 1292 | ||
| 1293 | (pass-if "n = fixnum-max" | |
| 1294 | (eqv? 1 (gcd fixnum-min fixnum-max))) | |
| 1295 | ||
| 1296 | (pass-if "n = fixnum-max + 1" | |
| 1297 | (eqv? (+ fixnum-max 1) (gcd fixnum-min (+ fixnum-max 1)))) | |
| de142bea | 1298 | |
| 21e39e8f DH |
1299 | (pass-if "n = fixnum-min" |
| 1300 | (eqv? (- fixnum-min) (gcd fixnum-min fixnum-min))) | |
| 1301 | ||
| 1302 | (pass-if "n = fixnum-min - 1" | |
| 1303 | (eqv? 1 (gcd fixnum-min (- fixnum-min 1))))) | |
| 1304 | ||
| 1305 | (with-test-prefix "((- fixnum-min 1) n)" | |
| 1306 | ||
| 1307 | (pass-if "n = 0" | |
| 1308 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) 0))) | |
| 1309 | ||
| 1310 | (pass-if "n = 1" | |
| 1311 | (eqv? 1 (gcd (- fixnum-min 1) 1))) | |
| 1312 | ||
| 1313 | (pass-if "n = -1" | |
| 1314 | (eqv? 1 (gcd (- fixnum-min 1) -1))) | |
| 1315 | ||
| 1316 | (pass-if "n = fixnum-max" | |
| 1317 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-max))) | |
| 1318 | ||
| 1319 | (pass-if "n = fixnum-max + 1" | |
| 1320 | (eqv? 1 (gcd (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 1321 | ||
| 1322 | (pass-if "n = fixnum-min" | |
| 1323 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-min))) | |
| 1324 | ||
| 1325 | (pass-if "n = fixnum-min - 1" | |
| 1326 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea DH |
1327 | |
| 1328 | ;; Are wrong type arguments detected correctly? | |
| 1329 | ||
| 1330 | ) | |
| 1331 | ||
| f29b3454 DH |
1332 | ;;; |
| 1333 | ;;; lcm | |
| 1334 | ;;; | |
| 1335 | ||
| 7c24e528 RB |
1336 | (with-test-prefix "lcm" |
| 1337 | ;; FIXME: more tests? | |
| 1338 | ;; (some of these are already in r4rs.test) | |
| d389e966 | 1339 | (pass-if (documented? lcm)) |
| 7c24e528 RB |
1340 | (pass-if (= (lcm) 1)) |
| 1341 | (pass-if (= (lcm 32 -36) 288)) | |
| 1342 | (let ((big-n 115792089237316195423570985008687907853269984665640564039457584007913129639936) ; 2 ^ 256 | |
| 1343 | (lcm-of-big-n-and-11 1273712981610478149659280835095566986385969831322046204434033424087044426039296)) | |
| 1344 | (pass-if (= lcm-of-big-n-and-11 (lcm big-n 11))) | |
| 1345 | (pass-if (= lcm-of-big-n-and-11 (lcm 11 big-n 11))))) | |
| 1346 | ||
| 605f6980 MW |
1347 | ;;; |
| 1348 | ;;; rationalize | |
| 1349 | ;;; | |
| 1350 | (with-test-prefix "rationalize" | |
| 1351 | (pass-if (documented? rationalize)) | |
| 1352 | (pass-if (eqv? 2 (rationalize 4 2 ))) | |
| 1353 | (pass-if (eqv? -2 (rationalize -4 2 ))) | |
| 1354 | (pass-if (eqv? 2.0 (rationalize 4 2.0))) | |
| 1355 | (pass-if (eqv? -2.0 (rationalize -4.0 2 ))) | |
| 1356 | ||
| 1357 | (pass-if (eqv? 0 (rationalize 4 8 ))) | |
| 1358 | (pass-if (eqv? 0 (rationalize -4 8 ))) | |
| 1359 | (pass-if (eqv? 0.0 (rationalize 4 8.0))) | |
| 1360 | (pass-if (eqv? 0.0 (rationalize -4.0 8 ))) | |
| 1361 | ||
| 1362 | (pass-if (eqv? 0.0 (rationalize 3 +inf.0))) | |
| 1363 | (pass-if (eqv? 0.0 (rationalize -3 +inf.0))) | |
| 1364 | ||
| 55a8b708 MW |
1365 | (pass-if (real-nan? (rationalize +inf.0 +inf.0))) |
| 1366 | (pass-if (real-nan? (rationalize +nan.0 +inf.0))) | |
| 1367 | (pass-if (real-nan? (rationalize +nan.0 4))) | |
| 605f6980 MW |
1368 | (pass-if (eqv? +inf.0 (rationalize +inf.0 3))) |
| 1369 | ||
| 1370 | (pass-if (eqv? 3/10 (rationalize 3/10 0))) | |
| 1371 | (pass-if (eqv? -3/10 (rationalize -3/10 0))) | |
| 1372 | ||
| 1373 | (pass-if (eqv? 1/3 (rationalize 3/10 1/10))) | |
| 1374 | (pass-if (eqv? -1/3 (rationalize -3/10 1/10))) | |
| 1375 | ||
| 1376 | (pass-if (eqv? 1/3 (rationalize 3/10 -1/10))) | |
| 1377 | (pass-if (eqv? -1/3 (rationalize -3/10 -1/10))) | |
| 1378 | ||
| 1379 | (pass-if (test-eqv? (/ 1.0 3) (rationalize 0.3 1/10))) | |
| 1380 | (pass-if (test-eqv? (/ -1.0 3) (rationalize -0.3 1/10))) | |
| 1381 | (pass-if (test-eqv? (/ 1.0 3) (rationalize 0.3 -1/10))) | |
| 1382 | (pass-if (test-eqv? (/ -1.0 3) (rationalize -0.3 -1/10)))) | |
| 1383 | ||
| f29b3454 DH |
1384 | ;;; |
| 1385 | ;;; number->string | |
| 1386 | ;;; | |
| 1387 | ||
| 7c24e528 RB |
1388 | (with-test-prefix "number->string" |
| 1389 | (let ((num->str->num | |
| 1390 | (lambda (n radix) | |
| 1391 | (string->number (number->string n radix) radix)))) | |
| 1392 | ||
| 1393 | (pass-if (documented? number->string)) | |
| 1394 | (pass-if (string=? (number->string 0) "0")) | |
| 1395 | (pass-if (string=? (number->string 171) "171")) | |
| 1396 | (pass-if (= (+ fixnum-max 1) (num->str->num (+ fixnum-max 1) 10))) | |
| 1397 | (pass-if (= (- fixnum-min 1) (num->str->num (- fixnum-min 1) 10))) | |
| 1398 | (pass-if (= (inf) (num->str->num (inf) 10))) | |
| d39a7b58 MV |
1399 | (pass-if (= 1.3 (num->str->num 1.3 10))) |
| 1400 | ||
| eb73f94b MV |
1401 | ;; XXX - some results depend on whether Guile is compiled optimzed |
| 1402 | ;; or not. It is clearly undesirable to have number->string to be | |
| 1403 | ;; influenced by this. | |
| 1404 | ||
| 3740c788 | 1405 | (pass-if (string=? (number->string 35.25 36) "z.9")) |
| eb73f94b MV |
1406 | (pass-if (or (string=? (number->string 0.25 2) "0.01") |
| 1407 | (string=? (number->string 0.25 2) "0.010"))) | |
| 3740c788 | 1408 | (pass-if (string=? (number->string 255.0625 16) "ff.1")) |
| d39a7b58 | 1409 | (pass-if (string=? (number->string (/ 1 3) 3) "1/10")) |
| 23f2b9a3 | 1410 | |
| a6f3af16 | 1411 | (pass-if (string=? (number->string 10) "10")) |
| 3740c788 | 1412 | (pass-if (string=? (number->string 10 11) "a")) |
| a6f3af16 AW |
1413 | (pass-if (string=? (number->string 36 36) "10")) |
| 1414 | (pass-if (= (num->str->num 36 36) 36)) | |
| 1415 | (pass-if (= (string->number "z" 36) 35)) | |
| 1416 | (pass-if (= (string->number "Z" 36) 35)) | |
| 1417 | (pass-if (not (string->number "Z" 35))) | |
| 3740c788 | 1418 | (pass-if (string=? (number->string 35 36) "z")) |
| a6f3af16 AW |
1419 | (pass-if (= (num->str->num 35 36) 35)) |
| 1420 | ||
| 23f2b9a3 KR |
1421 | ;; Numeric conversion from decimal is not precise, in its current |
| 1422 | ;; implementation, so 11.333... and 1.324... can't be expected to | |
| 1423 | ;; reliably come out to precise values. These tests did actually work | |
| 1424 | ;; for a while, but something in gcc changed, affecting the conversion | |
| 1425 | ;; code. | |
| 1426 | ;; | |
| 1427 | ;; (pass-if (or (string=? (number->string 11.33333333333333333 12) | |
| 1428 | ;; "B.4") | |
| 1429 | ;; (string=? (number->string 11.33333333333333333 12) | |
| 1430 | ;; "B.400000000000009"))) | |
| 1431 | ;; (pass-if (or (string=? (number->string 1.324e44 16) | |
| 1432 | ;; "5.EFE0A14FAFEe24") | |
| 1433 | ;; (string=? (number->string 1.324e44 16) | |
| 1434 | ;; "5.EFE0A14FAFDF8e24"))) | |
| 1435 | )) | |
| 7c24e528 | 1436 | |
| f29b3454 DH |
1437 | ;;; |
| 1438 | ;;; string->number | |
| 1439 | ;;; | |
| 1440 | ||
| 2f4a254a DH |
1441 | (with-test-prefix "string->number" |
| 1442 | ||
| ff758237 | 1443 | (pass-if "documented?" |
| 2f4a254a DH |
1444 | (documented? string->number)) |
| 1445 | ||
| 1446 | (pass-if "non number strings" | |
| 1447 | (for-each (lambda (x) (if (string->number x) (throw 'fail))) | |
| 569c483b | 1448 | '("" "q" "1q" "6+7iq" "8+9q" "10+11" "13+" "18@19q" "20@q" "23@" |
| 2f4a254a | 1449 | "+25iq" "26i" "-q" "-iq" "i" "5#.0" "8/" "10#11" ".#" "." |
| 569c483b | 1450 | "#o.2" "3.4q" "15.16e17q" "18.19e+q" ".q" ".17#18" "10q" "#b2" |
| 2f4a254a DH |
1451 | "#b3" "#b4" "#b5" "#b6" "#b7" "#b8" "#b9" "#ba" "#bb" "#bc" |
| 1452 | "#bd" "#be" "#bf" "#q" "#b#b1" "#o#o1" "#d#d1" "#x#x1" "#e#e1" | |
| 1453 | "#i#i1" "12@12+0i")) | |
| 1454 | #t) | |
| 1455 | ||
| b7d9b1cf DH |
1456 | (pass-if "valid number strings" |
| 1457 | (for-each (lambda (couple) | |
| 1458 | (apply | |
| 1459 | (lambda (x y) | |
| 9dd9857f MV |
1460 | (let ((xx (string->number x))) |
| 1461 | (if (or (eq? xx #f) (not (eqv? xx y))) | |
| ca2b31fe MV |
1462 | (begin |
| 1463 | (pk x y) | |
| 1464 | (throw 'fail))))) | |
| b7d9b1cf DH |
1465 | couple)) |
| 1466 | `(;; Radix: | |
| 1467 | ("#b0" 0) ("#B0" 0) ("#b1" 1) ("#B1" 1) ("#o0" 0) ("#O0" 0) | |
| 1468 | ("#o1" 1) ("#O1" 1) ("#o2" 2) ("#O2" 2) ("#o3" 3) ("#O3" 3) | |
| 1469 | ("#o4" 4) ("#O4" 4) ("#o5" 5) ("#O5" 5) ("#o6" 6) ("#O6" 6) | |
| 1470 | ("#o7" 7) ("#O7" 7) ("#d0" 0) ("#D0" 0) ("#d1" 1) ("#D1" 1) | |
| 1471 | ("#d2" 2) ("#D2" 2) ("#d3" 3) ("#D3" 3) ("#d4" 4) ("#D4" 4) | |
| 1472 | ("#d5" 5) ("#D5" 5) ("#d6" 6) ("#D6" 6) ("#d7" 7) ("#D7" 7) | |
| 1473 | ("#d8" 8) ("#D8" 8) ("#d9" 9) ("#D9" 9) | |
| 1474 | ("#xa" 10) ("#Xa" 10) ("#xb" 11) ("#Xb" 11) | |
| 1475 | ("#xc" 12) ("#Xc" 12) ("#xd" 13) ("#Xd" 13) | |
| 1476 | ("#xe" 14) ("#Xe" 14) ("#xf" 15) ("#Xf" 15) | |
| 1477 | ("#b1010" 10) | |
| 1478 | ("#o12345670" 2739128) | |
| 1479 | ("#d1234567890" 1234567890) | |
| 1480 | ("#x1234567890abcdef" 1311768467294899695) | |
| 1481 | ;; Exactness: | |
| ca2b31fe | 1482 | ("#e1" 1) ("#e1.2" 12/10) |
| 9dd9857f | 1483 | ("#i1.1" 1.1) ("#i1" 1.0) |
| b7d9b1cf DH |
1484 | ;; Integers: |
| 1485 | ("1" ,(1+ 0)) ("23" ,(+ 9 9 5)) ("-1" ,(- 0 1)) | |
| 1486 | ("-45" ,(- 0 45)) ("2#" 20.0) ("2##" 200.0) ("12##" 1200.0) | |
| 1487 | ("#b#i100" 4.0) | |
| 9dd9857f MV |
1488 | ;; Fractions: |
| 1489 | ("1/1" 1) ("1/2" 1/2) ("-1/2" -1/2) ("1#/1" 10.0) | |
| 1490 | ("10/1#" 1.0) ("1#/1#" 1.0) ("#e9/10" 9/10) ("#e10/1#" 1) | |
| b7d9b1cf DH |
1491 | ("#i6/8" 0.75) ("#i1/1" 1.0) |
| 1492 | ;; Decimal numbers: | |
| 1493 | ;; * <uinteger 10> <suffix> | |
| 1494 | ("1e2" 100.0) ("1E2" 100.0) ("1s2" 100.0) ("1S2" 100.0) | |
| 1495 | ("1f2" 100.0) ("1F2" 100.0) ("1d2" 100.0) ("1D2" 100.0) | |
| 1496 | ("1l2" 100.0) ("1L2" 100.0) ("1e+2" 100.0) ("1e-2" 0.01) | |
| 1497 | ;; * . <digit 10>+ #* <suffix> | |
| 1498 | (".1" .1) (".0123456789" 123456789e-10) (".16#" 0.16) | |
| 1499 | (".0123456789e10" 123456789.0) (".16#e3" 160.0) ("#d.3" 0.3) | |
| 1500 | ;; * <digit 10>+ . <digit 10>* #* <suffix> | |
| 1501 | ("3." ,(exact->inexact 3)) ("3.e0" ,(exact->inexact 3)) | |
| 1502 | ("3.1" ,(exact->inexact 31/10)) ("3.1e0" 3.1) ("3.1#" 3.1) | |
| 1503 | ("3.1#e0" 3.1) | |
| 1504 | ;; * <digit 10>+ #+ . #* <suffix> | |
| 1505 | ("3#." 30.0) ("3#.e0" 30.0) ("3#.#" 30.0) ("3#.#e0" 30.0) | |
| 1506 | ;; Complex: | |
| 1507 | ("1@0" 1.0) ("1@+0" 1.0) ("1@-0" 1.0) | |
| 1508 | ("2+3i" ,(+ 2 (* 3 +i))) ("4-5i" ,(- 4 (* 5 +i))) | |
| 1509 | ("1+i" 1+1i) ("1-i" 1-1i) ("+1i" 0+1i) ("-1i" 0-1i) | |
| 40f89215 NJ |
1510 | ("+i" +1i) ("-i" -1i) |
| 1511 | ("1.0+.1i" 1.0+0.1i) | |
| 1512 | ("1.0-.1i" 1.0-0.1i) | |
| 1513 | (".1+.0i" 0.1) | |
| 1514 | ("1.+.0i" 1.0) | |
| 1515 | (".1+.1i" 0.1+0.1i) | |
| 1516 | ("1e1+.1i" 10+0.1i) | |
| 1517 | )) | |
| b7d9b1cf DH |
1518 | #t) |
| 1519 | ||
| 2f4a254a DH |
1520 | (pass-if-exception "exponent too big" |
| 1521 | exception:out-of-range | |
| 48e78ba6 KR |
1522 | (string->number "12.13e141414")) |
| 1523 | ||
| 1524 | ;; in guile 1.6.7 and earlier, bad polar forms (where the conversion of | |
| 1525 | ;; the angle gave #f) caused a segv | |
| 1526 | (pass-if "1@a" | |
| 1527 | (eq? #f (string->number "1@a")))) | |
| 2f4a254a | 1528 | |
| f29b3454 DH |
1529 | ;;; |
| 1530 | ;;; number? | |
| 1531 | ;;; | |
| 1532 | ||
| 7c24e528 RB |
1533 | (with-test-prefix "number?" |
| 1534 | (pass-if (documented? number?)) | |
| 1535 | (pass-if (number? 0)) | |
| 1536 | (pass-if (number? 7)) | |
| 1537 | (pass-if (number? -7)) | |
| 1538 | (pass-if (number? 1.3)) | |
| 1539 | (pass-if (number? (+ 1 fixnum-max))) | |
| 1540 | (pass-if (number? (- 1 fixnum-min))) | |
| 1541 | (pass-if (number? 3+4i)) | |
| 4d332f19 DH |
1542 | (pass-if (not (number? #\a))) |
| 1543 | (pass-if (not (number? "a"))) | |
| 1544 | (pass-if (not (number? (make-vector 0)))) | |
| 1545 | (pass-if (not (number? (cons 1 2)))) | |
| 1546 | (pass-if (not (number? #t))) | |
| 1547 | (pass-if (not (number? (lambda () #t)))) | |
| 1548 | (pass-if (not (number? (current-input-port))))) | |
| 7c24e528 | 1549 | |
| f29b3454 DH |
1550 | ;;; |
| 1551 | ;;; complex? | |
| 1552 | ;;; | |
| 1553 | ||
| 7c24e528 RB |
1554 | (with-test-prefix "complex?" |
| 1555 | (pass-if (documented? complex?)) | |
| 1556 | (pass-if (complex? 0)) | |
| 1557 | (pass-if (complex? 7)) | |
| 1558 | (pass-if (complex? -7)) | |
| 1559 | (pass-if (complex? (+ 1 fixnum-max))) | |
| 1560 | (pass-if (complex? (- 1 fixnum-min))) | |
| 1561 | (pass-if (complex? 1.3)) | |
| 1562 | (pass-if (complex? 3+4i)) | |
| 4d332f19 DH |
1563 | (pass-if (not (complex? #\a))) |
| 1564 | (pass-if (not (complex? "a"))) | |
| 1565 | (pass-if (not (complex? (make-vector 0)))) | |
| 1566 | (pass-if (not (complex? (cons 1 2)))) | |
| 1567 | (pass-if (not (complex? #t))) | |
| 1568 | (pass-if (not (complex? (lambda () #t)))) | |
| 1569 | (pass-if (not (complex? (current-input-port))))) | |
| 7c24e528 | 1570 | |
| f29b3454 DH |
1571 | ;;; |
| 1572 | ;;; real? | |
| 1573 | ;;; | |
| 1574 | ||
| 7c24e528 RB |
1575 | (with-test-prefix "real?" |
| 1576 | (pass-if (documented? real?)) | |
| 1577 | (pass-if (real? 0)) | |
| 1578 | (pass-if (real? 7)) | |
| 1579 | (pass-if (real? -7)) | |
| 1580 | (pass-if (real? (+ 1 fixnum-max))) | |
| 1581 | (pass-if (real? (- 1 fixnum-min))) | |
| 1582 | (pass-if (real? 1.3)) | |
| c960e556 MW |
1583 | (pass-if (real? +inf.0)) |
| 1584 | (pass-if (real? -inf.0)) | |
| 1585 | (pass-if (real? +nan.0)) | |
| 1586 | (pass-if (not (real? +inf.0-inf.0i))) | |
| 1587 | (pass-if (not (real? +nan.0+nan.0i))) | |
| 4d332f19 DH |
1588 | (pass-if (not (real? 3+4i))) |
| 1589 | (pass-if (not (real? #\a))) | |
| 1590 | (pass-if (not (real? "a"))) | |
| 1591 | (pass-if (not (real? (make-vector 0)))) | |
| 1592 | (pass-if (not (real? (cons 1 2)))) | |
| 1593 | (pass-if (not (real? #t))) | |
| 1594 | (pass-if (not (real? (lambda () #t)))) | |
| 1595 | (pass-if (not (real? (current-input-port))))) | |
| 7c24e528 | 1596 | |
| f29b3454 | 1597 | ;;; |
| c960e556 | 1598 | ;;; rational? |
| f29b3454 DH |
1599 | ;;; |
| 1600 | ||
| 7c24e528 RB |
1601 | (with-test-prefix "rational?" |
| 1602 | (pass-if (documented? rational?)) | |
| 1603 | (pass-if (rational? 0)) | |
| 1604 | (pass-if (rational? 7)) | |
| 1605 | (pass-if (rational? -7)) | |
| 1606 | (pass-if (rational? (+ 1 fixnum-max))) | |
| 1607 | (pass-if (rational? (- 1 fixnum-min))) | |
| 1608 | (pass-if (rational? 1.3)) | |
| c960e556 MW |
1609 | (pass-if (not (rational? +inf.0))) |
| 1610 | (pass-if (not (rational? -inf.0))) | |
| 1611 | (pass-if (not (rational? +nan.0))) | |
| 1612 | (pass-if (not (rational? +inf.0-inf.0i))) | |
| 1613 | (pass-if (not (rational? +nan.0+nan.0i))) | |
| 4d332f19 DH |
1614 | (pass-if (not (rational? 3+4i))) |
| 1615 | (pass-if (not (rational? #\a))) | |
| 1616 | (pass-if (not (rational? "a"))) | |
| 1617 | (pass-if (not (rational? (make-vector 0)))) | |
| 1618 | (pass-if (not (rational? (cons 1 2)))) | |
| 1619 | (pass-if (not (rational? #t))) | |
| 1620 | (pass-if (not (rational? (lambda () #t)))) | |
| 1621 | (pass-if (not (rational? (current-input-port))))) | |
| 7c24e528 | 1622 | |
| f29b3454 DH |
1623 | ;;; |
| 1624 | ;;; integer? | |
| 1625 | ;;; | |
| 1626 | ||
| 7c24e528 RB |
1627 | (with-test-prefix "integer?" |
| 1628 | (pass-if (documented? integer?)) | |
| 1629 | (pass-if (integer? 0)) | |
| 1630 | (pass-if (integer? 7)) | |
| 1631 | (pass-if (integer? -7)) | |
| 1632 | (pass-if (integer? (+ 1 fixnum-max))) | |
| 1633 | (pass-if (integer? (- 1 fixnum-min))) | |
| 1634 | (pass-if (and (= 3+0i (round 3+0i)) (integer? 3+0i))) | |
| 1635 | (pass-if (and (= 1.0 (round 1.0)) (integer? 1.0))) | |
| 4d332f19 | 1636 | (pass-if (not (integer? 1.3))) |
| 8e43ed5d AW |
1637 | (pass-if (not (integer? +inf.0))) |
| 1638 | (pass-if (not (integer? -inf.0))) | |
| c1122753 | 1639 | (pass-if (not (integer? +nan.0))) |
| 4d332f19 DH |
1640 | (pass-if (not (integer? 3+4i))) |
| 1641 | (pass-if (not (integer? #\a))) | |
| 1642 | (pass-if (not (integer? "a"))) | |
| 1643 | (pass-if (not (integer? (make-vector 0)))) | |
| 1644 | (pass-if (not (integer? (cons 1 2)))) | |
| 1645 | (pass-if (not (integer? #t))) | |
| 1646 | (pass-if (not (integer? (lambda () #t)))) | |
| 1647 | (pass-if (not (integer? (current-input-port))))) | |
| 7c24e528 | 1648 | |
| f29b3454 DH |
1649 | ;;; |
| 1650 | ;;; inexact? | |
| 1651 | ;;; | |
| 1652 | ||
| 7c24e528 RB |
1653 | (with-test-prefix "inexact?" |
| 1654 | (pass-if (documented? inexact?)) | |
| 4d332f19 DH |
1655 | (pass-if (not (inexact? 0))) |
| 1656 | (pass-if (not (inexact? 7))) | |
| 1657 | (pass-if (not (inexact? -7))) | |
| 1658 | (pass-if (not (inexact? (+ 1 fixnum-max)))) | |
| 1659 | (pass-if (not (inexact? (- 1 fixnum-min)))) | |
| 7c24e528 RB |
1660 | (pass-if (inexact? 1.3)) |
| 1661 | (pass-if (inexact? 3.1+4.2i)) | |
| 41df63cf MW |
1662 | (pass-if (inexact? +inf.0)) |
| 1663 | (pass-if (inexact? -inf.0)) | |
| 1664 | (pass-if (inexact? +nan.0)) | |
| ca2b31fe MV |
1665 | (pass-if-exception "char" |
| 1666 | exception:wrong-type-arg | |
| 1667 | (not (inexact? #\a))) | |
| 1668 | (pass-if-exception "string" | |
| 1669 | exception:wrong-type-arg | |
| 1670 | (not (inexact? "a"))) | |
| 1671 | (pass-if-exception "vector" | |
| 1672 | exception:wrong-type-arg | |
| 1673 | (not (inexact? (make-vector 0)))) | |
| 1674 | (pass-if-exception "cons" | |
| 1675 | exception:wrong-type-arg | |
| 1676 | (not (inexact? (cons 1 2)))) | |
| 1677 | (pass-if-exception "bool" | |
| 1678 | exception:wrong-type-arg | |
| 1679 | (not (inexact? #t))) | |
| 1680 | (pass-if-exception "procedure" | |
| 1681 | exception:wrong-type-arg | |
| 1682 | (not (inexact? (lambda () #t)))) | |
| 1683 | (pass-if-exception "port" | |
| 1684 | exception:wrong-type-arg | |
| 1685 | (not (inexact? (current-input-port))))) | |
| 7c24e528 | 1686 | |
| 47ae1f0e DH |
1687 | ;;; |
| 1688 | ;;; equal? | |
| 1689 | ;;; | |
| 1690 | ||
| 1691 | (with-test-prefix "equal?" | |
| 1692 | (pass-if (documented? equal?)) | |
| 2e6e1933 MW |
1693 | |
| 1694 | ;; The following test will fail on platforms | |
| 1695 | ;; without distinct signed zeroes 0.0 and -0.0. | |
| 1696 | (pass-if (not (equal? 0.0 -0.0))) | |
| 1697 | ||
| 47ae1f0e DH |
1698 | (pass-if (equal? 0 0)) |
| 1699 | (pass-if (equal? 7 7)) | |
| 1700 | (pass-if (equal? -7 -7)) | |
| 1701 | (pass-if (equal? (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
| 1702 | (pass-if (equal? (- fixnum-min 1) (- fixnum-min 1))) | |
| 2e6e1933 MW |
1703 | (pass-if (equal? 0.0 0.0)) |
| 1704 | (pass-if (equal? -0.0 -0.0)) | |
| 47ae1f0e | 1705 | (pass-if (not (equal? 0 1))) |
| 2e6e1933 MW |
1706 | (pass-if (not (equal? 0 0.0))) |
| 1707 | (pass-if (not (equal? 1 1.0))) | |
| 1708 | (pass-if (not (equal? 0.0 0))) | |
| 1709 | (pass-if (not (equal? 1.0 1))) | |
| 1710 | (pass-if (not (equal? -1.0 -1))) | |
| 47ae1f0e DH |
1711 | (pass-if (not (equal? fixnum-max (+ 1 fixnum-max)))) |
| 1712 | (pass-if (not (equal? (+ 1 fixnum-max) fixnum-max))) | |
| 1713 | (pass-if (not (equal? (+ 1 fixnum-max) (+ 2 fixnum-max)))) | |
| 1714 | (pass-if (not (equal? fixnum-min (- fixnum-min 1)))) | |
| 1715 | (pass-if (not (equal? (- fixnum-min 1) fixnum-min))) | |
| 1716 | (pass-if (not (equal? (- fixnum-min 1) (- fixnum-min 2)))) | |
| 1717 | (pass-if (not (equal? (+ fixnum-max 1) (- fixnum-min 1)))) | |
| 1718 | ||
| 1719 | (pass-if (not (equal? (ash 1 256) +inf.0))) | |
| 1720 | (pass-if (not (equal? +inf.0 (ash 1 256)))) | |
| 1721 | (pass-if (not (equal? (ash 1 256) -inf.0))) | |
| 1722 | (pass-if (not (equal? -inf.0 (ash 1 256)))) | |
| 1723 | ||
| 1724 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 1725 | ;; sure we've avoided that | |
| 1726 | (pass-if (not (equal? (ash 1 1024) +inf.0))) | |
| 1727 | (pass-if (not (equal? +inf.0 (ash 1 1024)))) | |
| 1728 | (pass-if (not (equal? (- (ash 1 1024)) -inf.0))) | |
| 1729 | (pass-if (not (equal? -inf.0 (- (ash 1 1024))))) | |
| 1730 | ||
| 2e6e1933 MW |
1731 | (pass-if (equal? +nan.0 +nan.0)) |
| 1732 | (pass-if (equal? +nan.0 +nan.0)) | |
| 1733 | (pass-if (not (equal? +nan.0 0.0+nan.0i))) | |
| 1734 | ||
| 47ae1f0e DH |
1735 | (pass-if (not (equal? 0 +nan.0))) |
| 1736 | (pass-if (not (equal? +nan.0 0))) | |
| 1737 | (pass-if (not (equal? 1 +nan.0))) | |
| 1738 | (pass-if (not (equal? +nan.0 1))) | |
| 1739 | (pass-if (not (equal? -1 +nan.0))) | |
| 1740 | (pass-if (not (equal? +nan.0 -1))) | |
| 1741 | ||
| 1742 | (pass-if (not (equal? (ash 1 256) +nan.0))) | |
| 1743 | (pass-if (not (equal? +nan.0 (ash 1 256)))) | |
| 1744 | (pass-if (not (equal? (- (ash 1 256)) +nan.0))) | |
| 1745 | (pass-if (not (equal? +nan.0 (- (ash 1 256))))) | |
| 1746 | ||
| 1747 | (pass-if (not (equal? (ash 1 8192) +nan.0))) | |
| 1748 | (pass-if (not (equal? +nan.0 (ash 1 8192)))) | |
| 1749 | (pass-if (not (equal? (- (ash 1 8192)) +nan.0))) | |
| 1750 | (pass-if (not (equal? +nan.0 (- (ash 1 8192))))) | |
| 1751 | ||
| 1752 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 1753 | ;; sure we've avoided that | |
| 1754 | (pass-if (not (equal? (ash 3 1023) +nan.0))) | |
| 1755 | (pass-if (not (equal? +nan.0 (ash 3 1023))))) | |
| 1756 | ||
| 2e6e1933 MW |
1757 | ;;; |
| 1758 | ;;; eqv? | |
| 1759 | ;;; | |
| 1760 | ||
| 1761 | (with-test-prefix "eqv?" | |
| 1762 | (pass-if (documented? eqv?)) | |
| 1763 | ||
| 1764 | ;; The following test will fail on platforms | |
| 1765 | ;; without distinct signed zeroes 0.0 and -0.0. | |
| 1766 | (pass-if (not (eqv? 0.0 -0.0))) | |
| 1767 | ||
| 1768 | (pass-if (eqv? 0 0)) | |
| 1769 | (pass-if (eqv? 7 7)) | |
| 1770 | (pass-if (eqv? -7 -7)) | |
| 1771 | (pass-if (eqv? (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
| 1772 | (pass-if (eqv? (- fixnum-min 1) (- fixnum-min 1))) | |
| 1773 | (pass-if (eqv? 0.0 0.0)) | |
| 1774 | (pass-if (eqv? -0.0 -0.0)) | |
| 1775 | (pass-if (not (eqv? 0 1))) | |
| 1776 | (pass-if (not (eqv? 0 0.0))) | |
| 1777 | (pass-if (not (eqv? 1 1.0))) | |
| 1778 | (pass-if (not (eqv? 0.0 0))) | |
| 1779 | (pass-if (not (eqv? 1.0 1))) | |
| 1780 | (pass-if (not (eqv? -1.0 -1))) | |
| 1781 | (pass-if (not (eqv? fixnum-max (+ 1 fixnum-max)))) | |
| 1782 | (pass-if (not (eqv? (+ 1 fixnum-max) fixnum-max))) | |
| 1783 | (pass-if (not (eqv? (+ 1 fixnum-max) (+ 2 fixnum-max)))) | |
| 1784 | (pass-if (not (eqv? fixnum-min (- fixnum-min 1)))) | |
| 1785 | (pass-if (not (eqv? (- fixnum-min 1) fixnum-min))) | |
| 1786 | (pass-if (not (eqv? (- fixnum-min 1) (- fixnum-min 2)))) | |
| 1787 | (pass-if (not (eqv? (+ fixnum-max 1) (- fixnum-min 1)))) | |
| 1788 | ||
| 1789 | (pass-if (not (eqv? (ash 1 256) +inf.0))) | |
| 1790 | (pass-if (not (eqv? +inf.0 (ash 1 256)))) | |
| 1791 | (pass-if (not (eqv? (ash 1 256) -inf.0))) | |
| 1792 | (pass-if (not (eqv? -inf.0 (ash 1 256)))) | |
| 1793 | ||
| 1794 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 1795 | ;; sure we've avoided that | |
| 1796 | (pass-if (not (eqv? (ash 1 1024) +inf.0))) | |
| 1797 | (pass-if (not (eqv? +inf.0 (ash 1 1024)))) | |
| 1798 | (pass-if (not (eqv? (- (ash 1 1024)) -inf.0))) | |
| 1799 | (pass-if (not (eqv? -inf.0 (- (ash 1 1024))))) | |
| 1800 | ||
| 1801 | (pass-if (eqv? +nan.0 +nan.0)) | |
| 1802 | (pass-if (not (eqv? +nan.0 0.0+nan.0i))) | |
| 1803 | ||
| 1804 | (pass-if (not (eqv? 0 +nan.0))) | |
| 1805 | (pass-if (not (eqv? +nan.0 0))) | |
| 1806 | (pass-if (not (eqv? 1 +nan.0))) | |
| 1807 | (pass-if (not (eqv? +nan.0 1))) | |
| 1808 | (pass-if (not (eqv? -1 +nan.0))) | |
| 1809 | (pass-if (not (eqv? +nan.0 -1))) | |
| 1810 | ||
| 1811 | (pass-if (not (eqv? (ash 1 256) +nan.0))) | |
| 1812 | (pass-if (not (eqv? +nan.0 (ash 1 256)))) | |
| 1813 | (pass-if (not (eqv? (- (ash 1 256)) +nan.0))) | |
| 1814 | (pass-if (not (eqv? +nan.0 (- (ash 1 256))))) | |
| 1815 | ||
| 1816 | (pass-if (not (eqv? (ash 1 8192) +nan.0))) | |
| 1817 | (pass-if (not (eqv? +nan.0 (ash 1 8192)))) | |
| 1818 | (pass-if (not (eqv? (- (ash 1 8192)) +nan.0))) | |
| 1819 | (pass-if (not (eqv? +nan.0 (- (ash 1 8192))))) | |
| 1820 | ||
| 1821 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 1822 | ;; sure we've avoided that | |
| 1823 | (pass-if (not (eqv? (ash 3 1023) +nan.0))) | |
| 1824 | (pass-if (not (eqv? +nan.0 (ash 3 1023))))) | |
| 1825 | ||
| f29b3454 DH |
1826 | ;;; |
| 1827 | ;;; = | |
| 1828 | ;;; | |
| 1829 | ||
| 7c24e528 | 1830 | (with-test-prefix "=" |
| 8a1f4f98 | 1831 | (pass-if (documented? =)) |
| 7c24e528 RB |
1832 | (pass-if (= 0 0)) |
| 1833 | (pass-if (= 7 7)) | |
| 1834 | (pass-if (= -7 -7)) | |
| 1835 | (pass-if (= (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
| 47ae1f0e | 1836 | (pass-if (= (- fixnum-min 1) (- fixnum-min 1))) |
| 4d332f19 DH |
1837 | (pass-if (not (= 0 1))) |
| 1838 | (pass-if (not (= fixnum-max (+ 1 fixnum-max)))) | |
| 1839 | (pass-if (not (= (+ 1 fixnum-max) fixnum-max))) | |
| 47ae1f0e | 1840 | (pass-if (not (= (+ 1 fixnum-max) (+ 2 fixnum-max)))) |
| 4d332f19 DH |
1841 | (pass-if (not (= fixnum-min (- fixnum-min 1)))) |
| 1842 | (pass-if (not (= (- fixnum-min 1) fixnum-min))) | |
| 47ae1f0e | 1843 | (pass-if (not (= (- fixnum-min 1) (- fixnum-min 2)))) |
| 4d332f19 | 1844 | (pass-if (not (= (+ fixnum-max 1) (- fixnum-min 1)))) |
| 2cfcaed5 | 1845 | |
| adda36ed KR |
1846 | (pass-if (not (= (ash 1 256) +inf.0))) |
| 1847 | (pass-if (not (= +inf.0 (ash 1 256)))) | |
| 1848 | (pass-if (not (= (ash 1 256) -inf.0))) | |
| 1849 | (pass-if (not (= -inf.0 (ash 1 256)))) | |
| 1850 | ||
| 1851 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 1852 | ;; sure we've avoided that | |
| 1853 | (pass-if (not (= (ash 1 1024) +inf.0))) | |
| 1854 | (pass-if (not (= +inf.0 (ash 1 1024)))) | |
| 1855 | (pass-if (not (= (- (ash 1 1024)) -inf.0))) | |
| 1856 | (pass-if (not (= -inf.0 (- (ash 1 1024))))) | |
| 1857 | ||
| 2cfcaed5 KR |
1858 | (pass-if (not (= +nan.0 +nan.0))) |
| 1859 | (pass-if (not (= 0 +nan.0))) | |
| 1860 | (pass-if (not (= +nan.0 0))) | |
| 1861 | (pass-if (not (= 1 +nan.0))) | |
| 1862 | (pass-if (not (= +nan.0 1))) | |
| 1863 | (pass-if (not (= -1 +nan.0))) | |
| 1864 | (pass-if (not (= +nan.0 -1))) | |
| 1865 | ||
| 1866 | (pass-if (not (= (ash 1 256) +nan.0))) | |
| 1867 | (pass-if (not (= +nan.0 (ash 1 256)))) | |
| 1868 | (pass-if (not (= (- (ash 1 256)) +nan.0))) | |
| 1869 | (pass-if (not (= +nan.0 (- (ash 1 256))))) | |
| 1870 | ||
| 1871 | (pass-if (not (= (ash 1 8192) +nan.0))) | |
| 1872 | (pass-if (not (= +nan.0 (ash 1 8192)))) | |
| 1873 | (pass-if (not (= (- (ash 1 8192)) +nan.0))) | |
| 1874 | (pass-if (not (= +nan.0 (- (ash 1 8192))))) | |
| 1875 | ||
| 1876 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 1877 | ;; sure we've avoided that | |
| 1878 | (pass-if (not (= (ash 3 1023) +nan.0))) | |
| 2a8b5e04 KR |
1879 | (pass-if (not (= +nan.0 (ash 3 1023)))) |
| 1880 | ||
| 1881 | (pass-if (= 1/2 0.5)) | |
| 1882 | (pass-if (not (= 1/3 0.333333333333333333333333333333333))) | |
| 1883 | (pass-if (not (= 2/3 0.5))) | |
| 1884 | (pass-if (not (= 0.5 (+ 1/2 (/ 1 (ash 1 1000)))))) | |
| 1885 | ||
| 1886 | (pass-if (= 1/2 0.5+0i)) | |
| 1887 | (pass-if (not (= 0.333333333333333333333333333333333 1/3))) | |
| 1888 | (pass-if (not (= 2/3 0.5+0i))) | |
| 1889 | (pass-if (not (= 1/2 0+0.5i))) | |
| 1890 | ||
| 1891 | (pass-if (= 0.5 1/2)) | |
| 1892 | (pass-if (not (= 0.5 2/3))) | |
| 1893 | (pass-if (not (= (+ 1/2 (/ 1 (ash 1 1000))) 0.5))) | |
| 1894 | ||
| 1895 | (pass-if (= 0.5+0i 1/2)) | |
| 1896 | (pass-if (not (= 0.5+0i 2/3))) | |
| 6f6847fa KR |
1897 | (pass-if (not (= 0+0.5i 1/2))) |
| 1898 | ||
| 1899 | ;; prior to guile 1.8, inum/flonum comparisons were done just by | |
| 1900 | ;; converting the inum to a double, which on a 64-bit would round making | |
| 1901 | ;; say inexact 2^58 appear equal to exact 2^58+1 | |
| 1902 | (pass-if (= (ash-flo 1.0 58) (ash 1 58))) | |
| 1903 | (pass-if (not (= (ash-flo 1.0 58) (1+ (ash 1 58))))) | |
| 1904 | (pass-if (not (= (ash-flo 1.0 58) (1- (ash 1 58))))) | |
| 1905 | (pass-if (= (ash 1 58) (ash-flo 1.0 58))) | |
| 1906 | (pass-if (not (= (1+ (ash 1 58)) (ash-flo 1.0 58)))) | |
| 1907 | (pass-if (not (= (1- (ash 1 58)) (ash-flo 1.0 58))))) | |
| 7c24e528 | 1908 | |
| de142bea DH |
1909 | ;;; |
| 1910 | ;;; < | |
| 1911 | ;;; | |
| 1912 | ||
| 1913 | (with-test-prefix "<" | |
| 1914 | ||
| 8a1f4f98 | 1915 | (pass-if "documented?" |
| cb18f2a8 | 1916 | (documented? <)) |
| de142bea | 1917 | |
| de142bea DH |
1918 | (with-test-prefix "(< 0 n)" |
| 1919 | ||
| 1920 | (pass-if "n = 0" | |
| 1921 | (not (< 0 0))) | |
| 1922 | ||
| 1923 | (pass-if "n = 0.0" | |
| 1924 | (not (< 0 0.0))) | |
| 1925 | ||
| 1926 | (pass-if "n = 1" | |
| 1927 | (< 0 1)) | |
| 1928 | ||
| 1929 | (pass-if "n = 1.0" | |
| 1930 | (< 0 1.0)) | |
| 1931 | ||
| 1932 | (pass-if "n = -1" | |
| 1933 | (not (< 0 -1))) | |
| 1934 | ||
| 1935 | (pass-if "n = -1.0" | |
| 1936 | (not (< 0 -1.0))) | |
| 1937 | ||
| 21e39e8f DH |
1938 | (pass-if "n = fixnum-max" |
| 1939 | (< 0 fixnum-max)) | |
| 1940 | ||
| 1941 | (pass-if "n = fixnum-max + 1" | |
| 1942 | (< 0 (+ fixnum-max 1))) | |
| 1943 | ||
| 1944 | (pass-if "n = fixnum-min" | |
| 1945 | (not (< 0 fixnum-min))) | |
| de142bea | 1946 | |
| 21e39e8f DH |
1947 | (pass-if "n = fixnum-min - 1" |
| 1948 | (not (< 0 (- fixnum-min 1))))) | |
| 1949 | ||
| de142bea DH |
1950 | (with-test-prefix "(< 0.0 n)" |
| 1951 | ||
| 1952 | (pass-if "n = 0" | |
| 1953 | (not (< 0.0 0))) | |
| 1954 | ||
| 1955 | (pass-if "n = 0.0" | |
| 1956 | (not (< 0.0 0.0))) | |
| 1957 | ||
| 1958 | (pass-if "n = 1" | |
| 1959 | (< 0.0 1)) | |
| 1960 | ||
| 1961 | (pass-if "n = 1.0" | |
| 1962 | (< 0.0 1.0)) | |
| 1963 | ||
| 1964 | (pass-if "n = -1" | |
| 1965 | (not (< 0.0 -1))) | |
| 1966 | ||
| 1967 | (pass-if "n = -1.0" | |
| 1968 | (not (< 0.0 -1.0))) | |
| 1969 | ||
| 21e39e8f DH |
1970 | (pass-if "n = fixnum-max" |
| 1971 | (< 0.0 fixnum-max)) | |
| 1972 | ||
| 1973 | (pass-if "n = fixnum-max + 1" | |
| 1974 | (< 0.0 (+ fixnum-max 1))) | |
| de142bea | 1975 | |
| 21e39e8f DH |
1976 | (pass-if "n = fixnum-min" |
| 1977 | (not (< 0.0 fixnum-min))) | |
| 1978 | ||
| 1979 | (pass-if "n = fixnum-min - 1" | |
| 1980 | (not (< 0.0 (- fixnum-min 1))))) | |
| 1981 | ||
| 1982 | (with-test-prefix "(< 1 n)" | |
| de142bea | 1983 | |
| 21e39e8f | 1984 | (pass-if "n = 0" |
| de142bea DH |
1985 | (not (< 1 0))) |
| 1986 | ||
| 21e39e8f DH |
1987 | (pass-if "n = 0.0" |
| 1988 | (not (< 1 0.0))) | |
| 1989 | ||
| 1990 | (pass-if "n = 1" | |
| 1991 | (not (< 1 1))) | |
| 1992 | ||
| de142bea | 1993 | (pass-if "n = 1.0" |
| 21e39e8f DH |
1994 | (not (< 1 1.0))) |
| 1995 | ||
| 1996 | (pass-if "n = -1" | |
| 1997 | (not (< 1 -1))) | |
| 1998 | ||
| 1999 | (pass-if "n = -1.0" | |
| 2000 | (not (< 1 -1.0))) | |
| 2001 | ||
| 2002 | (pass-if "n = fixnum-max" | |
| 2003 | (< 1 fixnum-max)) | |
| 2004 | ||
| 2005 | (pass-if "n = fixnum-max + 1" | |
| 2006 | (< 1 (+ fixnum-max 1))) | |
| 2007 | ||
| 2008 | (pass-if "n = fixnum-min" | |
| 2009 | (not (< 1 fixnum-min))) | |
| 2010 | ||
| 2011 | (pass-if "n = fixnum-min - 1" | |
| 2012 | (not (< 1 (- fixnum-min 1))))) | |
| 2013 | ||
| 2014 | (with-test-prefix "(< 1.0 n)" | |
| 2015 | ||
| 2016 | (pass-if "n = 0" | |
| de142bea DH |
2017 | (not (< 1.0 0))) |
| 2018 | ||
| 21e39e8f DH |
2019 | (pass-if "n = 0.0" |
| 2020 | (not (< 1.0 0.0))) | |
| 2021 | ||
| 2022 | (pass-if "n = 1" | |
| 2023 | (not (< 1.0 1))) | |
| 2024 | ||
| 2025 | (pass-if "n = 1.0" | |
| 2026 | (not (< 1.0 1.0))) | |
| 2027 | ||
| de142bea | 2028 | (pass-if "n = -1" |
| 21e39e8f DH |
2029 | (not (< 1.0 -1))) |
| 2030 | ||
| 2031 | (pass-if "n = -1.0" | |
| 2032 | (not (< 1.0 -1.0))) | |
| 2033 | ||
| 2034 | (pass-if "n = fixnum-max" | |
| 2035 | (< 1.0 fixnum-max)) | |
| 2036 | ||
| 2037 | (pass-if "n = fixnum-max + 1" | |
| 2038 | (< 1.0 (+ fixnum-max 1))) | |
| 2039 | ||
| 2040 | (pass-if "n = fixnum-min" | |
| 2041 | (not (< 1.0 fixnum-min))) | |
| 2042 | ||
| 2043 | (pass-if "n = fixnum-min - 1" | |
| 2044 | (not (< 1.0 (- fixnum-min 1))))) | |
| 2045 | ||
| 2046 | (with-test-prefix "(< -1 n)" | |
| 2047 | ||
| 2048 | (pass-if "n = 0" | |
| de142bea DH |
2049 | (< -1 0)) |
| 2050 | ||
| 21e39e8f DH |
2051 | (pass-if "n = 0.0" |
| 2052 | (< -1 0.0)) | |
| 2053 | ||
| 2054 | (pass-if "n = 1" | |
| 2055 | (< -1 1)) | |
| 2056 | ||
| 2057 | (pass-if "n = 1.0" | |
| 2058 | (< -1 1.0)) | |
| 2059 | ||
| 2060 | (pass-if "n = -1" | |
| 2061 | (not (< -1 -1))) | |
| 2062 | ||
| de142bea | 2063 | (pass-if "n = -1.0" |
| 21e39e8f DH |
2064 | (not (< -1 -1.0))) |
| 2065 | ||
| 2066 | (pass-if "n = fixnum-max" | |
| 2067 | (< -1 fixnum-max)) | |
| 2068 | ||
| 2069 | (pass-if "n = fixnum-max + 1" | |
| 2070 | (< -1 (+ fixnum-max 1))) | |
| 2071 | ||
| 2072 | (pass-if "n = fixnum-min" | |
| 2073 | (not (< -1 fixnum-min))) | |
| 2074 | ||
| 2075 | (pass-if "n = fixnum-min - 1" | |
| 2076 | (not (< -1 (- fixnum-min 1))))) | |
| 2077 | ||
| 2078 | (with-test-prefix "(< -1.0 n)" | |
| 2079 | ||
| 2080 | (pass-if "n = 0" | |
| de142bea DH |
2081 | (< -1.0 0)) |
| 2082 | ||
| 21e39e8f DH |
2083 | (pass-if "n = 0.0" |
| 2084 | (< -1.0 0.0)) | |
| 2085 | ||
| 2086 | (pass-if "n = 1" | |
| 2087 | (< -1.0 1)) | |
| 2088 | ||
| 2089 | (pass-if "n = 1.0" | |
| 2090 | (< -1.0 1.0)) | |
| 2091 | ||
| 2092 | (pass-if "n = -1" | |
| 2093 | (not (< -1.0 -1))) | |
| 2094 | ||
| 2095 | (pass-if "n = -1.0" | |
| 2096 | (not (< -1.0 -1.0))) | |
| 2097 | ||
| 2098 | (pass-if "n = fixnum-max" | |
| 2099 | (< -1.0 fixnum-max)) | |
| 2100 | ||
| 2101 | (pass-if "n = fixnum-max + 1" | |
| 2102 | (< -1.0 (+ fixnum-max 1))) | |
| de142bea | 2103 | |
| 21e39e8f DH |
2104 | (pass-if "n = fixnum-min" |
| 2105 | (not (< -1.0 fixnum-min))) | |
| 2106 | ||
| 2107 | (pass-if "n = fixnum-min - 1" | |
| 2108 | (not (< -1.0 (- fixnum-min 1))))) | |
| 2109 | ||
| 2110 | (with-test-prefix "(< fixnum-max n)" | |
| 2111 | ||
| 2112 | (pass-if "n = 0" | |
| 2113 | (not (< fixnum-max 0))) | |
| 2114 | ||
| 2115 | (pass-if "n = 0.0" | |
| 2116 | (not (< fixnum-max 0.0))) | |
| de142bea DH |
2117 | |
| 2118 | (pass-if "n = 1" | |
| 21e39e8f | 2119 | (not (< fixnum-max 1))) |
| de142bea DH |
2120 | |
| 2121 | (pass-if "n = 1.0" | |
| 21e39e8f | 2122 | (not (< fixnum-max 1.0))) |
| de142bea DH |
2123 | |
| 2124 | (pass-if "n = -1" | |
| 21e39e8f | 2125 | (not (< fixnum-max -1))) |
| de142bea DH |
2126 | |
| 2127 | (pass-if "n = -1.0" | |
| 21e39e8f | 2128 | (not (< fixnum-max -1.0))) |
| de142bea | 2129 | |
| 21e39e8f DH |
2130 | (pass-if "n = fixnum-max" |
| 2131 | (not (< fixnum-max fixnum-max))) | |
| de142bea | 2132 | |
| 21e39e8f DH |
2133 | (pass-if "n = fixnum-max + 1" |
| 2134 | (< fixnum-max (+ fixnum-max 1))) | |
| 2135 | ||
| 2136 | (pass-if "n = fixnum-min" | |
| 2137 | (not (< fixnum-max fixnum-min))) | |
| 2138 | ||
| 2139 | (pass-if "n = fixnum-min - 1" | |
| 2140 | (not (< fixnum-max (- fixnum-min 1))))) | |
| 2141 | ||
| 2142 | (with-test-prefix "(< (+ fixnum-max 1) n)" | |
| 2143 | ||
| 2144 | (pass-if "n = 0" | |
| 2145 | (not (< (+ fixnum-max 1) 0))) | |
| 2146 | ||
| 2147 | (pass-if "n = 0.0" | |
| 2148 | (not (< (+ fixnum-max 1) 0.0))) | |
| de142bea DH |
2149 | |
| 2150 | (pass-if "n = 1" | |
| 21e39e8f | 2151 | (not (< (+ fixnum-max 1) 1))) |
| de142bea DH |
2152 | |
| 2153 | (pass-if "n = 1.0" | |
| 21e39e8f | 2154 | (not (< (+ fixnum-max 1) 1.0))) |
| de142bea DH |
2155 | |
| 2156 | (pass-if "n = -1" | |
| 21e39e8f | 2157 | (not (< (+ fixnum-max 1) -1))) |
| de142bea DH |
2158 | |
| 2159 | (pass-if "n = -1.0" | |
| 21e39e8f | 2160 | (not (< (+ fixnum-max 1) -1.0))) |
| de142bea | 2161 | |
| 21e39e8f DH |
2162 | (pass-if "n = fixnum-max" |
| 2163 | (not (< (+ fixnum-max 1) fixnum-max))) | |
| de142bea | 2164 | |
| 21e39e8f DH |
2165 | (pass-if "n = fixnum-max + 1" |
| 2166 | (not (< (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| de142bea | 2167 | |
| 21e39e8f DH |
2168 | (pass-if "n = fixnum-min" |
| 2169 | (not (< (+ fixnum-max 1) fixnum-min))) | |
| 2170 | ||
| 2171 | (pass-if "n = fixnum-min - 1" | |
| 2172 | (not (< (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 2173 | ||
| 2174 | (with-test-prefix "(< fixnum-min n)" | |
| 2175 | ||
| 2176 | (pass-if "n = 0" | |
| 2177 | (< fixnum-min 0)) | |
| 2178 | ||
| 2179 | (pass-if "n = 0.0" | |
| 2180 | (< fixnum-min 0.0)) | |
| de142bea DH |
2181 | |
| 2182 | (pass-if "n = 1" | |
| 21e39e8f | 2183 | (< fixnum-min 1)) |
| de142bea DH |
2184 | |
| 2185 | (pass-if "n = 1.0" | |
| 21e39e8f | 2186 | (< fixnum-min 1.0)) |
| de142bea DH |
2187 | |
| 2188 | (pass-if "n = -1" | |
| 21e39e8f | 2189 | (< fixnum-min -1)) |
| de142bea DH |
2190 | |
| 2191 | (pass-if "n = -1.0" | |
| 21e39e8f | 2192 | (< fixnum-min -1.0)) |
| de142bea | 2193 | |
| 21e39e8f DH |
2194 | (pass-if "n = fixnum-max" |
| 2195 | (< fixnum-min fixnum-max)) | |
| 2196 | ||
| 2197 | (pass-if "n = fixnum-max + 1" | |
| 2198 | (< fixnum-min (+ fixnum-max 1))) | |
| de142bea | 2199 | |
| 21e39e8f DH |
2200 | (pass-if "n = fixnum-min" |
| 2201 | (not (< fixnum-min fixnum-min))) | |
| de142bea | 2202 | |
| 21e39e8f DH |
2203 | (pass-if "n = fixnum-min - 1" |
| 2204 | (not (< fixnum-min (- fixnum-min 1))))) | |
| 2205 | ||
| 2206 | (with-test-prefix "(< (- fixnum-min 1) n)" | |
| 2207 | ||
| 2208 | (pass-if "n = 0" | |
| 2209 | (< (- fixnum-min 1) 0)) | |
| 2210 | ||
| 2211 | (pass-if "n = 0.0" | |
| 2212 | (< (- fixnum-min 1) 0.0)) | |
| 2213 | ||
| 2214 | (pass-if "n = 1" | |
| 2215 | (< (- fixnum-min 1) 1)) | |
| 2216 | ||
| 2217 | (pass-if "n = 1.0" | |
| 2218 | (< (- fixnum-min 1) 1.0)) | |
| de142bea DH |
2219 | |
| 2220 | (pass-if "n = -1" | |
| 21e39e8f | 2221 | (< (- fixnum-min 1) -1)) |
| de142bea DH |
2222 | |
| 2223 | (pass-if "n = -1.0" | |
| 21e39e8f DH |
2224 | (< (- fixnum-min 1) -1.0)) |
| 2225 | ||
| 2226 | (pass-if "n = fixnum-max" | |
| 2227 | (< (- fixnum-min 1) fixnum-max)) | |
| 2228 | ||
| 2229 | (pass-if "n = fixnum-max + 1" | |
| 2230 | (< (- fixnum-min 1) (+ fixnum-max 1))) | |
| 2231 | ||
| 2232 | (pass-if "n = fixnum-min" | |
| 2233 | (< (- fixnum-min 1) fixnum-min)) | |
| 2234 | ||
| 2235 | (pass-if "n = fixnum-min - 1" | |
| 2cfcaed5 KR |
2236 | (not (< (- fixnum-min 1) (- fixnum-min 1))))) |
| 2237 | ||
| adda36ed KR |
2238 | (pass-if (< (ash 1 256) +inf.0)) |
| 2239 | (pass-if (not (< +inf.0 (ash 1 256)))) | |
| 2240 | (pass-if (not (< (ash 1 256) -inf.0))) | |
| 2241 | (pass-if (< -inf.0 (ash 1 256))) | |
| 2242 | ||
| 2243 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 2244 | ;; sure we've avoided that | |
| 2245 | (pass-if (< (1- (ash 1 1024)) +inf.0)) | |
| 2246 | (pass-if (< (ash 1 1024) +inf.0)) | |
| 2247 | (pass-if (< (1+ (ash 1 1024)) +inf.0)) | |
| 2248 | (pass-if (not (< +inf.0 (1- (ash 1 1024))))) | |
| 2249 | (pass-if (not (< +inf.0 (ash 1 1024)))) | |
| 2250 | (pass-if (not (< +inf.0 (1+ (ash 1 1024))))) | |
| 2251 | (pass-if (< -inf.0 (- (1- (ash 1 1024))))) | |
| 2252 | (pass-if (< -inf.0 (- (ash 1 1024)))) | |
| 2253 | (pass-if (< -inf.0 (- (1+ (ash 1 1024))))) | |
| 2254 | (pass-if (not (< (- (1- (ash 1 1024))) -inf.0))) | |
| 2255 | (pass-if (not (< (- (ash 1 1024)) -inf.0))) | |
| 2256 | (pass-if (not (< (- (1+ (ash 1 1024))) -inf.0))) | |
| 2257 | ||
| 2cfcaed5 KR |
2258 | (pass-if (not (< +nan.0 +nan.0))) |
| 2259 | (pass-if (not (< 0 +nan.0))) | |
| 2260 | (pass-if (not (< +nan.0 0))) | |
| 2261 | (pass-if (not (< 1 +nan.0))) | |
| 2262 | (pass-if (not (< +nan.0 1))) | |
| 2263 | (pass-if (not (< -1 +nan.0))) | |
| 2264 | (pass-if (not (< +nan.0 -1))) | |
| 2265 | ||
| 2266 | (pass-if (not (< (ash 1 256) +nan.0))) | |
| 2267 | (pass-if (not (< +nan.0 (ash 1 256)))) | |
| 2268 | (pass-if (not (< (- (ash 1 256)) +nan.0))) | |
| 2269 | (pass-if (not (< +nan.0 (- (ash 1 256))))) | |
| 2270 | ||
| 2271 | (pass-if (not (< (ash 1 8192) +nan.0))) | |
| 2272 | (pass-if (not (< +nan.0 (ash 1 8192)))) | |
| 2273 | (pass-if (not (< (- (ash 1 8192)) +nan.0))) | |
| 2274 | (pass-if (not (< +nan.0 (- (ash 1 8192))))) | |
| 2275 | ||
| 2276 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 2277 | ;; sure we've avoided that | |
| 2278 | (pass-if (not (< (ash 3 1023) +nan.0))) | |
| 2279 | (pass-if (not (< (1+ (ash 3 1023)) +nan.0))) | |
| 2280 | (pass-if (not (< (1- (ash 3 1023)) +nan.0))) | |
| 2281 | (pass-if (not (< +nan.0 (ash 3 1023)))) | |
| 2282 | (pass-if (not (< +nan.0 (1+ (ash 3 1023))))) | |
| fe89421e KR |
2283 | (pass-if (not (< +nan.0 (1- (ash 3 1023))))) |
| 2284 | ||
| 2285 | (with-test-prefix "inum/frac" | |
| 2286 | (pass-if (< 2 9/4)) | |
| 2287 | (pass-if (< -2 9/4)) | |
| 2288 | (pass-if (< -2 7/4)) | |
| 2289 | (pass-if (< -2 -7/4)) | |
| 2290 | (pass-if (eq? #f (< 2 7/4))) | |
| 2291 | (pass-if (eq? #f (< 2 -7/4))) | |
| 2292 | (pass-if (eq? #f (< 2 -9/4))) | |
| 2293 | (pass-if (eq? #f (< -2 -9/4)))) | |
| 2294 | ||
| 2295 | (with-test-prefix "bignum/frac" | |
| 2296 | (let ((x (ash 1 2048))) | |
| 2297 | (pass-if (< x (* 4/3 x))) | |
| 2298 | (pass-if (< (- x) (* 4/3 x))) | |
| 2299 | (pass-if (< (- x) (* 2/3 x))) | |
| 2300 | (pass-if (< (- x) (* -2/3 x))) | |
| 2301 | (pass-if (eq? #f (< x (* 2/3 x)))) | |
| 2302 | (pass-if (eq? #f (< x (* -2/3 x)))) | |
| 2303 | (pass-if (eq? #f (< x (* -4/3 x)))) | |
| 2304 | (pass-if (eq? #f (< (- x) (* -4/3 x)))))) | |
| 2305 | ||
| 2306 | (with-test-prefix "flonum/frac" | |
| 2307 | (pass-if (< 0.75 4/3)) | |
| 2308 | (pass-if (< -0.75 4/3)) | |
| 2309 | (pass-if (< -0.75 2/3)) | |
| 2310 | (pass-if (< -0.75 -2/3)) | |
| 2311 | (pass-if (eq? #f (< 0.75 2/3))) | |
| 2312 | (pass-if (eq? #f (< 0.75 -2/3))) | |
| 2313 | (pass-if (eq? #f (< 0.75 -4/3))) | |
| 2314 | (pass-if (eq? #f (< -0.75 -4/3))) | |
| 2315 | ||
| 2316 | (pass-if (< -inf.0 4/3)) | |
| 2317 | (pass-if (< -inf.0 -4/3)) | |
| 2318 | (pass-if (eq? #f (< +inf.0 4/3))) | |
| 2319 | (pass-if (eq? #f (< +inf.0 -4/3))) | |
| 2320 | ||
| 2321 | (pass-if (eq? #f (< +nan.0 4/3))) | |
| 2322 | (pass-if (eq? #f (< +nan.0 -4/3)))) | |
| 2323 | ||
| 2324 | (with-test-prefix "frac/inum" | |
| 2325 | (pass-if (< 7/4 2)) | |
| 2326 | (pass-if (< -7/4 2)) | |
| 2327 | (pass-if (< -9/4 2)) | |
| 2328 | (pass-if (< -9/4 -2)) | |
| 2329 | (pass-if (eq? #f (< 9/4 2))) | |
| 2330 | (pass-if (eq? #f (< 9/4 -2))) | |
| 2331 | (pass-if (eq? #f (< 7/4 -2))) | |
| 2332 | (pass-if (eq? #f (< -7/4 -2)))) | |
| 2333 | ||
| 2334 | (with-test-prefix "frac/bignum" | |
| 2335 | (let ((x (ash 1 2048))) | |
| 2336 | (pass-if (< (* 2/3 x) x)) | |
| 2337 | (pass-if (< (* -2/3 x) x)) | |
| 2338 | (pass-if (< (* -4/3 x) x)) | |
| 2339 | (pass-if (< (* -4/3 x) (- x))) | |
| 2340 | (pass-if (eq? #f (< (* 4/3 x) x))) | |
| 2341 | (pass-if (eq? #f (< (* 4/3 x) (- x)))) | |
| 2342 | (pass-if (eq? #f (< (* 2/3 x) (- x)))) | |
| 2343 | (pass-if (eq? #f (< (* -2/3 x) (- x)))))) | |
| 2344 | ||
| 2345 | (with-test-prefix "frac/flonum" | |
| 2346 | (pass-if (< 2/3 0.75)) | |
| 2347 | (pass-if (< -2/3 0.75)) | |
| 2348 | (pass-if (< -4/3 0.75)) | |
| 2349 | (pass-if (< -4/3 -0.75)) | |
| 2350 | (pass-if (eq? #f (< 4/3 0.75))) | |
| 2351 | (pass-if (eq? #f (< 4/3 -0.75))) | |
| 2352 | (pass-if (eq? #f (< 2/3 -0.75))) | |
| 2353 | (pass-if (eq? #f (< -2/3 -0.75))) | |
| 2354 | ||
| 2355 | (pass-if (< 4/3 +inf.0)) | |
| 2356 | (pass-if (< -4/3 +inf.0)) | |
| 2357 | (pass-if (eq? #f (< 4/3 -inf.0))) | |
| 2358 | (pass-if (eq? #f (< -4/3 -inf.0))) | |
| 2359 | ||
| 2360 | (pass-if (eq? #f (< 4/3 +nan.0))) | |
| 2361 | (pass-if (eq? #f (< -4/3 +nan.0)))) | |
| 2362 | ||
| 2363 | (with-test-prefix "frac/frac" | |
| 2364 | (pass-if (< 2/3 6/7)) | |
| 2365 | (pass-if (< -2/3 6/7)) | |
| 2366 | (pass-if (< -4/3 6/7)) | |
| 2367 | (pass-if (< -4/3 -6/7)) | |
| 2368 | (pass-if (eq? #f (< 4/3 6/7))) | |
| 2369 | (pass-if (eq? #f (< 4/3 -6/7))) | |
| 2370 | (pass-if (eq? #f (< 2/3 -6/7))) | |
| 2371 | (pass-if (eq? #f (< -2/3 -6/7))))) | |
| f29b3454 DH |
2372 | |
| 2373 | ;;; | |
| 2374 | ;;; > | |
| 2375 | ;;; | |
| 2376 | ||
| 7c24e528 RB |
2377 | ;; currently not tested -- implementation is trivial |
| 2378 | ;; (> x y) is implemented as (< y x) | |
| 2379 | ;; FIXME: tests should probably be added in case we change implementation. | |
| 2380 | ||
| f29b3454 DH |
2381 | ;;; |
| 2382 | ;;; <= | |
| 2383 | ;;; | |
| 2384 | ||
| 7c24e528 RB |
2385 | ;; currently not tested -- implementation is trivial |
| 2386 | ;; (<= x y) is implemented as (not (< y x)) | |
| 2387 | ;; FIXME: tests should probably be added in case we change implementation. | |
| 2388 | ||
| f29b3454 DH |
2389 | ;;; |
| 2390 | ;;; >= | |
| 2391 | ;;; | |
| 2392 | ||
| 7c24e528 RB |
2393 | ;; currently not tested -- implementation is trivial |
| 2394 | ;; (>= x y) is implemented as (not (< x y)) | |
| 2395 | ;; FIXME: tests should probably be added in case we change implementation. | |
| 2396 | ||
| f29b3454 DH |
2397 | ;;; |
| 2398 | ;;; zero? | |
| 2399 | ;;; | |
| 2400 | ||
| 7c24e528 | 2401 | (with-test-prefix "zero?" |
| 2519490c | 2402 | (pass-if (documented? zero?)) |
| 7c24e528 | 2403 | (pass-if (zero? 0)) |
| 4d332f19 DH |
2404 | (pass-if (not (zero? 7))) |
| 2405 | (pass-if (not (zero? -7))) | |
| 2406 | (pass-if (not (zero? (+ 1 fixnum-max)))) | |
| 2407 | (pass-if (not (zero? (- 1 fixnum-min)))) | |
| 2408 | (pass-if (not (zero? 1.3))) | |
| 2409 | (pass-if (not (zero? 3.1+4.2i)))) | |
| 7c24e528 | 2410 | |
| f29b3454 DH |
2411 | ;;; |
| 2412 | ;;; positive? | |
| 2413 | ;;; | |
| 2414 | ||
| 7c24e528 | 2415 | (with-test-prefix "positive?" |
| 2519490c | 2416 | (pass-if (documented? positive?)) |
| 7c24e528 RB |
2417 | (pass-if (positive? 1)) |
| 2418 | (pass-if (positive? (+ fixnum-max 1))) | |
| 2419 | (pass-if (positive? 1.3)) | |
| 4d332f19 DH |
2420 | (pass-if (not (positive? 0))) |
| 2421 | (pass-if (not (positive? -1))) | |
| 2422 | (pass-if (not (positive? (- fixnum-min 1)))) | |
| 2423 | (pass-if (not (positive? -1.3)))) | |
| 7c24e528 | 2424 | |
| f29b3454 DH |
2425 | ;;; |
| 2426 | ;;; negative? | |
| 2427 | ;;; | |
| 2428 | ||
| 7c24e528 | 2429 | (with-test-prefix "negative?" |
| 2519490c | 2430 | (pass-if (documented? negative?)) |
| 4d332f19 DH |
2431 | (pass-if (not (negative? 1))) |
| 2432 | (pass-if (not (negative? (+ fixnum-max 1)))) | |
| 2433 | (pass-if (not (negative? 1.3))) | |
| 2434 | (pass-if (not (negative? 0))) | |
| 7c24e528 RB |
2435 | (pass-if (negative? -1)) |
| 2436 | (pass-if (negative? (- fixnum-min 1))) | |
| 2437 | (pass-if (negative? -1.3))) | |
| 2438 | ||
| f29b3454 DH |
2439 | ;;; |
| 2440 | ;;; max | |
| 2441 | ;;; | |
| 2442 | ||
| adda36ed | 2443 | (with-test-prefix "max" |
| 593a4c2f KR |
2444 | (pass-if-exception "no args" exception:wrong-num-args |
| 2445 | (max)) | |
| 2446 | ||
| 2447 | (pass-if-exception "one complex" exception:wrong-type-arg | |
| 2448 | (max 1+i)) | |
| 2449 | ||
| 2450 | (pass-if-exception "inum/complex" exception:wrong-type-arg | |
| 2451 | (max 123 1+i)) | |
| 2452 | (pass-if-exception "big/complex" exception:wrong-type-arg | |
| 2453 | (max 9999999999999999999999999999999999999999 1+i)) | |
| 2454 | (pass-if-exception "real/complex" exception:wrong-type-arg | |
| 2455 | (max 123.0 1+i)) | |
| 2456 | (pass-if-exception "frac/complex" exception:wrong-type-arg | |
| 2457 | (max 123/456 1+i)) | |
| 2458 | ||
| 2459 | (pass-if-exception "complex/inum" exception:wrong-type-arg | |
| 2460 | (max 1+i 123)) | |
| 2461 | (pass-if-exception "complex/big" exception:wrong-type-arg | |
| 2462 | (max 1+i 9999999999999999999999999999999999999999)) | |
| 2463 | (pass-if-exception "complex/real" exception:wrong-type-arg | |
| 2464 | (max 1+i 123.0)) | |
| 2465 | (pass-if-exception "complex/frac" exception:wrong-type-arg | |
| 2466 | (max 1+i 123/456)) | |
| 2467 | ||
| adda36ed KR |
2468 | (let ((big*2 (* fixnum-max 2)) |
| 2469 | (big*3 (* fixnum-max 3)) | |
| 2470 | (big*4 (* fixnum-max 4)) | |
| 2471 | (big*5 (* fixnum-max 5))) | |
| 501da403 | 2472 | |
| 2530518e | 2473 | (with-test-prefix "inum / frac" |
| 2e274311 MW |
2474 | (pass-if (eqv? 3 (max 3 5/2))) |
| 2475 | (pass-if (eqv? 5/2 (max 2 5/2)))) | |
| 2530518e KR |
2476 | |
| 2477 | (with-test-prefix "frac / inum" | |
| 2e274311 MW |
2478 | (pass-if (eqv? 3 (max 5/2 3))) |
| 2479 | (pass-if (eqv? 5/2 (max 5/2 2)))) | |
| 2480 | ||
| 2481 | (with-test-prefix "infinities and NaNs" | |
| 2482 | ;; +inf.0 beats everything else, including NaNs | |
| 2483 | (pass-if (eqv? +inf.0 (max +inf.0 123 ))) | |
| 2484 | (pass-if (eqv? +inf.0 (max 123 +inf.0 ))) | |
| 2485 | (pass-if (eqv? +inf.0 (max +inf.0 -123.3 ))) | |
| 2486 | (pass-if (eqv? +inf.0 (max -123.3 +inf.0 ))) | |
| 2487 | (pass-if (eqv? +inf.0 (max +inf.0 -7/2 ))) | |
| 2488 | (pass-if (eqv? +inf.0 (max -7/2 +inf.0 ))) | |
| 2489 | (pass-if (eqv? +inf.0 (max +inf.0 -1e20 ))) | |
| 2490 | (pass-if (eqv? +inf.0 (max -1e20 +inf.0 ))) | |
| 2491 | (pass-if (eqv? +inf.0 (max +inf.0 (- big*2)))) | |
| 2492 | (pass-if (eqv? +inf.0 (max (- big*2) +inf.0 ))) | |
| 2493 | (pass-if (eqv? +inf.0 (max +inf.0 +inf.0 ))) | |
| 2494 | (pass-if (eqv? +inf.0 (max +inf.0 +inf.0 ))) | |
| 2495 | (pass-if (eqv? +inf.0 (max +inf.0 +nan.0 ))) | |
| 2496 | (pass-if (eqv? +inf.0 (max +nan.0 +inf.0 ))) | |
| 2497 | (pass-if (eqv? +inf.0 (max +inf.0 +inf.0 ))) | |
| 2498 | ||
| 2499 | ;; NaNs beat everything except +inf.0 | |
| 2500 | (pass-if (real-nan? (max +nan.0 123 ))) | |
| 2501 | (pass-if (real-nan? (max 123 +nan.0 ))) | |
| 2502 | (pass-if (real-nan? (max +nan.0 123.3 ))) | |
| 2503 | (pass-if (real-nan? (max 123.3 +nan.0 ))) | |
| 2504 | (pass-if (real-nan? (max +nan.0 -7/2 ))) | |
| 2505 | (pass-if (real-nan? (max -7/2 +nan.0 ))) | |
| 2506 | (pass-if (real-nan? (max +nan.0 -1e20 ))) | |
| 2507 | (pass-if (real-nan? (max -1e20 +nan.0 ))) | |
| 2508 | (pass-if (real-nan? (max +nan.0 (- big*2)))) | |
| 2509 | (pass-if (real-nan? (max (- big*2) +nan.0 ))) | |
| 2510 | (pass-if (real-nan? (max +nan.0 -inf.0 ))) | |
| 2511 | (pass-if (real-nan? (max -inf.0 +nan.0 ))) | |
| 2512 | (pass-if (real-nan? (max +nan.0 +nan.0 ))) | |
| 2513 | ||
| 2514 | ;; -inf.0 always loses, except against itself | |
| 2515 | (pass-if (eqv? -inf.0 (max -inf.0 -inf.0 ))) | |
| 2516 | (pass-if (eqv? -123.0 (max -inf.0 -123 ))) | |
| 2517 | (pass-if (eqv? -123.0 (max -123 -inf.0 ))) | |
| 2518 | (pass-if (eqv? -123.3 (max -inf.0 -123.3 ))) | |
| 2519 | (pass-if (eqv? -123.3 (max -123.3 -inf.0 ))) | |
| 2520 | (pass-if (eqv? -3.5 (max -inf.0 -7/2 ))) | |
| 2521 | (pass-if (eqv? -3.5 (max -7/2 -inf.0 ))) | |
| 2522 | (pass-if (eqv? -1.0e20 (max -inf.0 -1e20 ))) | |
| 2523 | (pass-if (eqv? -1.0e20 (max -1e20 -inf.0 ))) | |
| 2524 | (pass-if (eqv? (exact->inexact (- big*2)) | |
| 2525 | (max -inf.0 (- big*2)))) | |
| 2526 | (pass-if (eqv? (exact->inexact (- big*2)) | |
| 2527 | (max (- big*2) -inf.0 )))) | |
| 2528 | ||
| 2529 | (with-test-prefix "signed zeroes" | |
| 2530 | (pass-if (eqv? 0.0 (max 0.0 0.0))) | |
| 2531 | (pass-if (eqv? 0.0 (max 0.0 -0.0))) | |
| 2532 | (pass-if (eqv? 0.0 (max -0.0 0.0))) | |
| 2533 | (pass-if (eqv? -0.0 (max -0.0 -0.0))) | |
| 2534 | (pass-if (eqv? 0.0 (max -0.0 0 ))) | |
| 2535 | (pass-if (eqv? 0.0 (max 0.0 0 ))) | |
| 2536 | (pass-if (eqv? 0.0 (max 0 -0.0))) | |
| 2537 | (pass-if (eqv? 0.0 (max 0 0.0))) | |
| 2538 | (pass-if (eqv? 0 (min 0 0 )))) | |
| 23d77957 | 2539 | |
| 2530518e | 2540 | (with-test-prefix "big / frac" |
| 2e274311 MW |
2541 | (pass-if (eqv? big*2 (max big*2 5/2))) |
| 2542 | (pass-if (eqv? 5/2 (max (- big*2) 5/2)))) | |
| 2530518e KR |
2543 | |
| 2544 | (with-test-prefix "frac / big" | |
| 2e274311 MW |
2545 | (pass-if (eqv? big*2 (max 5/2 big*2))) |
| 2546 | (pass-if (eqv? 5/2 (max 5/2 (- big*2))))) | |
| 2530518e | 2547 | |
| 23d77957 | 2548 | (with-test-prefix "big / real" |
| 55a8b708 | 2549 | (pass-if (real-nan? (max big*5 +nan.0))) |
| 23d72566 KR |
2550 | (pass-if (eqv? (exact->inexact big*5) (max big*5 -inf.0))) |
| 2551 | (pass-if (eqv? (exact->inexact big*5) (max big*5 1.0))) | |
| 2552 | (pass-if (eqv? +inf.0 (max big*5 +inf.0))) | |
| 2553 | (pass-if (eqv? 1.0 (max (- big*5) 1.0)))) | |
| 23d77957 KR |
2554 | |
| 2555 | (with-test-prefix "real / big" | |
| 55a8b708 | 2556 | (pass-if (real-nan? (max +nan.0 big*5))) |
| 23d72566 KR |
2557 | (pass-if (eqv? (exact->inexact big*5) (max -inf.0 big*5))) |
| 2558 | (pass-if (eqv? (exact->inexact big*5) (max 1.0 big*5))) | |
| 2559 | (pass-if (eqv? +inf.0 (max +inf.0 big*5))) | |
| 2560 | (pass-if (eqv? 1.0 (max 1.0 (- big*5))))) | |
| 23d77957 | 2561 | |
| 2530518e | 2562 | (with-test-prefix "frac / frac" |
| 2e274311 MW |
2563 | (pass-if (eqv? 2/3 (max 1/2 2/3))) |
| 2564 | (pass-if (eqv? 2/3 (max 2/3 1/2))) | |
| 2565 | (pass-if (eqv? -1/2 (max -1/2 -2/3))) | |
| 2566 | (pass-if (eqv? -1/2 (max -2/3 -1/2)))) | |
| 2530518e | 2567 | |
| 23d77957 | 2568 | (with-test-prefix "real / real" |
| 55a8b708 MW |
2569 | (pass-if (real-nan? (max 123.0 +nan.0))) |
| 2570 | (pass-if (real-nan? (max +nan.0 123.0))) | |
| 2571 | (pass-if (real-nan? (max +nan.0 +nan.0))) | |
| 2e274311 MW |
2572 | (pass-if (eqv? 456.0 (max 123.0 456.0))) |
| 2573 | (pass-if (eqv? 456.0 (max 456.0 123.0))))) | |
| adda36ed KR |
2574 | |
| 2575 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 2576 | ;; sure we've avoided that | |
| 2577 | (for-each (lambda (b) | |
| 2578 | (pass-if (list b +inf.0) | |
| 2e274311 | 2579 | (eqv? +inf.0 (max b +inf.0))) |
| adda36ed | 2580 | (pass-if (list +inf.0 b) |
| 2e274311 | 2581 | (eqv? +inf.0 (max b +inf.0))) |
| adda36ed | 2582 | (pass-if (list b -inf.0) |
| 2e274311 | 2583 | (eqv? (exact->inexact b) (max b -inf.0))) |
| adda36ed | 2584 | (pass-if (list -inf.0 b) |
| 2e274311 | 2585 | (eqv? (exact->inexact b) (max b -inf.0)))) |
| adda36ed KR |
2586 | (list (1- (ash 1 1024)) |
| 2587 | (ash 1 1024) | |
| 2588 | (1+ (ash 1 1024)) | |
| 2589 | (- (1- (ash 1 1024))) | |
| 2590 | (- (ash 1 1024)) | |
| 501da403 KR |
2591 | (- (1+ (ash 1 1024))))) |
| 2592 | ||
| 2593 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 2594 | ;; sure we've avoided that | |
| 55a8b708 MW |
2595 | (pass-if (real-nan? (max (ash 1 2048) +nan.0))) |
| 2596 | (pass-if (real-nan? (max +nan.0 (ash 1 2048))))) | |
| adda36ed | 2597 | |
| f29b3454 DH |
2598 | ;;; |
| 2599 | ;;; min | |
| 2600 | ;;; | |
| 2601 | ||
| 7c24e528 RB |
2602 | ;; FIXME: unfinished... |
| 2603 | ||
| 2604 | (with-test-prefix "min" | |
| 593a4c2f KR |
2605 | (pass-if-exception "no args" exception:wrong-num-args |
| 2606 | (min)) | |
| 2607 | ||
| 2608 | (pass-if-exception "one complex" exception:wrong-type-arg | |
| 2609 | (min 1+i)) | |
| 2610 | ||
| 2611 | (pass-if-exception "inum/complex" exception:wrong-type-arg | |
| 2612 | (min 123 1+i)) | |
| 2613 | (pass-if-exception "big/complex" exception:wrong-type-arg | |
| 2614 | (min 9999999999999999999999999999999999999999 1+i)) | |
| 2615 | (pass-if-exception "real/complex" exception:wrong-type-arg | |
| 2616 | (min 123.0 1+i)) | |
| 2617 | (pass-if-exception "frac/complex" exception:wrong-type-arg | |
| 2618 | (min 123/456 1+i)) | |
| 2619 | ||
| 2620 | (pass-if-exception "complex/inum" exception:wrong-type-arg | |
| 2621 | (min 1+i 123)) | |
| 2622 | (pass-if-exception "complex/big" exception:wrong-type-arg | |
| 2623 | (min 1+i 9999999999999999999999999999999999999999)) | |
| 2624 | (pass-if-exception "complex/real" exception:wrong-type-arg | |
| 2625 | (min 1+i 123.0)) | |
| 2626 | (pass-if-exception "complex/frac" exception:wrong-type-arg | |
| 2627 | (min 1+i 123/456)) | |
| 2628 | ||
| 7c24e528 RB |
2629 | (let ((big*2 (* fixnum-max 2)) |
| 2630 | (big*3 (* fixnum-max 3)) | |
| 2631 | (big*4 (* fixnum-max 4)) | |
| 2632 | (big*5 (* fixnum-max 5))) | |
| 23d77957 | 2633 | |
| d389e966 | 2634 | (pass-if (documented? min)) |
| 2e274311 MW |
2635 | (pass-if (eqv? 1 (min 7 3 1 5))) |
| 2636 | (pass-if (eqv? 1 (min 1 7 3 5))) | |
| 2637 | (pass-if (eqv? 1 (min 7 3 5 1))) | |
| 2638 | (pass-if (eqv? -7 (min 2 3 4 -2 5 -7 1 -1 4 2))) | |
| 2639 | (pass-if (eqv? -7 (min -7 2 3 4 -2 5 1 -1 4 2))) | |
| 2640 | (pass-if (eqv? -7 (min 2 3 4 -2 5 1 -1 4 2 -7))) | |
| 2641 | (pass-if (eqv? big*2 (min big*3 big*5 big*2 big*4))) | |
| 2642 | (pass-if (eqv? big*2 (min big*2 big*3 big*5 big*4))) | |
| 2643 | (pass-if (eqv? big*2 (min big*3 big*5 big*4 big*2))) | |
| 7c24e528 | 2644 | (pass-if |
| 2e274311 | 2645 | (eqv? (- fixnum-min 1) (min 2 4 (- fixnum-min 1) 3 (* 2 fixnum-max)))) |
| 7c24e528 | 2646 | (pass-if |
| 2e274311 | 2647 | (eqv? (- fixnum-min 1) (min (- fixnum-min 1) 2 4 3 (* 2 fixnum-max)))) |
| 7c24e528 | 2648 | (pass-if |
| 2e274311 | 2649 | (eqv? (- fixnum-min 1) (min 2 4 3 (* 2 fixnum-max) (- fixnum-min 1)))) |
| 23d77957 | 2650 | |
| 2530518e | 2651 | (with-test-prefix "inum / frac" |
| 2e274311 MW |
2652 | (pass-if (eqv? 5/2 (min 3 5/2))) |
| 2653 | (pass-if (eqv? 2 (min 2 5/2)))) | |
| 2530518e KR |
2654 | |
| 2655 | (with-test-prefix "frac / inum" | |
| 2e274311 MW |
2656 | (pass-if (eqv? 5/2 (min 5/2 3))) |
| 2657 | (pass-if (eqv? 2 (min 5/2 2)))) | |
| 2658 | ||
| 2659 | (with-test-prefix "infinities and NaNs" | |
| 2660 | ;; -inf.0 beats everything else, including NaNs | |
| 2661 | (pass-if (eqv? -inf.0 (min -inf.0 123 ))) | |
| 2662 | (pass-if (eqv? -inf.0 (min 123 -inf.0 ))) | |
| 2663 | (pass-if (eqv? -inf.0 (min -inf.0 -123.3 ))) | |
| 2664 | (pass-if (eqv? -inf.0 (min -123.3 -inf.0 ))) | |
| 2665 | (pass-if (eqv? -inf.0 (min -inf.0 -7/2 ))) | |
| 2666 | (pass-if (eqv? -inf.0 (min -7/2 -inf.0 ))) | |
| 2667 | (pass-if (eqv? -inf.0 (min -inf.0 -1e20 ))) | |
| 2668 | (pass-if (eqv? -inf.0 (min -1e20 -inf.0 ))) | |
| 2669 | (pass-if (eqv? -inf.0 (min -inf.0 (- big*2)))) | |
| 2670 | (pass-if (eqv? -inf.0 (min (- big*2) -inf.0 ))) | |
| 2671 | (pass-if (eqv? -inf.0 (min -inf.0 +inf.0 ))) | |
| 2672 | (pass-if (eqv? -inf.0 (min +inf.0 -inf.0 ))) | |
| 2673 | (pass-if (eqv? -inf.0 (min -inf.0 +nan.0 ))) | |
| 2674 | (pass-if (eqv? -inf.0 (min +nan.0 -inf.0 ))) | |
| 2675 | (pass-if (eqv? -inf.0 (min -inf.0 -inf.0 ))) | |
| 2676 | ||
| 2677 | ;; NaNs beat everything except -inf.0 | |
| 2678 | (pass-if (real-nan? (min +nan.0 123 ))) | |
| 2679 | (pass-if (real-nan? (min 123 +nan.0 ))) | |
| 2680 | (pass-if (real-nan? (min +nan.0 123.3 ))) | |
| 2681 | (pass-if (real-nan? (min 123.3 +nan.0 ))) | |
| 2682 | (pass-if (real-nan? (min +nan.0 -7/2 ))) | |
| 2683 | (pass-if (real-nan? (min -7/2 +nan.0 ))) | |
| 2684 | (pass-if (real-nan? (min +nan.0 -1e20 ))) | |
| 2685 | (pass-if (real-nan? (min -1e20 +nan.0 ))) | |
| 2686 | (pass-if (real-nan? (min +nan.0 (- big*2)))) | |
| 2687 | (pass-if (real-nan? (min (- big*2) +nan.0 ))) | |
| 2688 | (pass-if (real-nan? (min +nan.0 +inf.0 ))) | |
| 2689 | (pass-if (real-nan? (min +inf.0 +nan.0 ))) | |
| 2690 | (pass-if (real-nan? (min +nan.0 +nan.0 ))) | |
| 2691 | ||
| 2692 | ;; +inf.0 always loses, except against itself | |
| 2693 | (pass-if (eqv? +inf.0 (min +inf.0 +inf.0 ))) | |
| 2694 | (pass-if (eqv? -123.0 (min +inf.0 -123 ))) | |
| 2695 | (pass-if (eqv? -123.0 (min -123 +inf.0 ))) | |
| 2696 | (pass-if (eqv? -123.3 (min +inf.0 -123.3 ))) | |
| 2697 | (pass-if (eqv? -123.3 (min -123.3 +inf.0 ))) | |
| 2698 | (pass-if (eqv? -3.5 (min +inf.0 -7/2 ))) | |
| 2699 | (pass-if (eqv? -3.5 (min -7/2 +inf.0 ))) | |
| 2700 | (pass-if (eqv? -1.0e20 (min +inf.0 -1e20 ))) | |
| 2701 | (pass-if (eqv? -1.0e20 (min -1e20 +inf.0 ))) | |
| 2702 | (pass-if (eqv? (exact->inexact (- big*2)) | |
| 2703 | (min +inf.0 (- big*2)))) | |
| 2704 | (pass-if (eqv? (exact->inexact (- big*2)) | |
| 2705 | (min (- big*2) +inf.0 )))) | |
| 2706 | ||
| 2707 | (with-test-prefix "signed zeroes" | |
| 2708 | (pass-if (eqv? 0.0 (min 0.0 0.0))) | |
| 2709 | (pass-if (eqv? -0.0 (min 0.0 -0.0))) | |
| 2710 | (pass-if (eqv? -0.0 (min -0.0 0.0))) | |
| 2711 | (pass-if (eqv? -0.0 (min -0.0 -0.0))) | |
| 2712 | (pass-if (eqv? -0.0 (min -0.0 0 ))) | |
| 2713 | (pass-if (eqv? 0.0 (min 0.0 0 ))) | |
| 2714 | (pass-if (eqv? -0.0 (min 0 -0.0))) | |
| 2715 | (pass-if (eqv? 0.0 (min 0 0.0))) | |
| 2716 | (pass-if (eqv? 0 (min 0 0 )))) | |
| 23d77957 | 2717 | |
| 2530518e | 2718 | (with-test-prefix "big / frac" |
| 2e274311 MW |
2719 | (pass-if (eqv? 5/2 (min big*2 5/2))) |
| 2720 | (pass-if (eqv? (- big*2) (min (- big*2) 5/2)))) | |
| 2530518e KR |
2721 | |
| 2722 | (with-test-prefix "frac / big" | |
| 2e274311 MW |
2723 | (pass-if (eqv? 5/2 (min 5/2 big*2))) |
| 2724 | (pass-if (eqv? (- big*2) (min 5/2 (- big*2))))) | |
| 2530518e | 2725 | |
| 23d77957 | 2726 | (with-test-prefix "big / real" |
| 55a8b708 | 2727 | (pass-if (real-nan? (min big*5 +nan.0))) |
| 23d72566 KR |
2728 | (pass-if (eqv? (exact->inexact big*5) (min big*5 +inf.0))) |
| 2729 | (pass-if (eqv? -inf.0 (min big*5 -inf.0))) | |
| 2730 | (pass-if (eqv? 1.0 (min big*5 1.0))) | |
| 2731 | (pass-if (eqv? (exact->inexact (- big*5)) (min (- big*5) 1.0)))) | |
| 23d77957 KR |
2732 | |
| 2733 | (with-test-prefix "real / big" | |
| 55a8b708 | 2734 | (pass-if (real-nan? (min +nan.0 big*5))) |
| 23d72566 KR |
2735 | (pass-if (eqv? (exact->inexact big*5) (min +inf.0 big*5))) |
| 2736 | (pass-if (eqv? -inf.0 (min -inf.0 big*5))) | |
| 2737 | (pass-if (eqv? 1.0 (min 1.0 big*5))) | |
| 2738 | (pass-if (eqv? (exact->inexact (- big*5)) (min 1.0 (- big*5))))) | |
| 23d77957 | 2739 | |
| 2530518e | 2740 | (with-test-prefix "frac / frac" |
| 2e274311 MW |
2741 | (pass-if (eqv? 1/2 (min 1/2 2/3))) |
| 2742 | (pass-if (eqv? 1/2 (min 2/3 1/2))) | |
| 2743 | (pass-if (eqv? -2/3 (min -1/2 -2/3))) | |
| 2744 | (pass-if (eqv? -2/3 (min -2/3 -1/2)))) | |
| 2530518e | 2745 | |
| 23d77957 | 2746 | (with-test-prefix "real / real" |
| 55a8b708 MW |
2747 | (pass-if (real-nan? (min 123.0 +nan.0))) |
| 2748 | (pass-if (real-nan? (min +nan.0 123.0))) | |
| 2749 | (pass-if (real-nan? (min +nan.0 +nan.0))) | |
| 2e274311 MW |
2750 | (pass-if (eqv? 123.0 (min 123.0 456.0))) |
| 2751 | (pass-if (eqv? 123.0 (min 456.0 123.0))))) | |
| 23d77957 KR |
2752 | |
| 2753 | ||
| adda36ed KR |
2754 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make |
| 2755 | ;; sure we've avoided that | |
| 2756 | (for-each (lambda (b) | |
| 2757 | (pass-if (list b +inf.0) | |
| 2e274311 | 2758 | (eqv? (exact->inexact b) (min b +inf.0))) |
| adda36ed | 2759 | (pass-if (list +inf.0 b) |
| 2e274311 | 2760 | (eqv? (exact->inexact b) (min b +inf.0))) |
| adda36ed | 2761 | (pass-if (list b -inf.0) |
| 2e274311 | 2762 | (eqv? -inf.0 (min b -inf.0))) |
| adda36ed | 2763 | (pass-if (list -inf.0 b) |
| 2e274311 | 2764 | (eqv? -inf.0 (min b -inf.0)))) |
| adda36ed KR |
2765 | (list (1- (ash 1 1024)) |
| 2766 | (ash 1 1024) | |
| 2767 | (1+ (ash 1 1024)) | |
| 2768 | (- (1- (ash 1 1024))) | |
| 2769 | (- (ash 1 1024)) | |
| 501da403 KR |
2770 | (- (1+ (ash 1 1024))))) |
| 2771 | ||
| 2772 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 2773 | ;; sure we've avoided that | |
| 55a8b708 MW |
2774 | (pass-if (real-nan? (min (- (ash 1 2048)) (- +nan.0)))) |
| 2775 | (pass-if (real-nan? (min (- +nan.0) (- (ash 1 2048)))))) | |
| adda36ed | 2776 | |
| f29b3454 DH |
2777 | ;;; |
| 2778 | ;;; + | |
| 2779 | ;;; | |
| 2780 | ||
| 0c57673a | 2781 | (with-test-prefix/c&e "+" |
| f29b3454 | 2782 | |
| d389e966 | 2783 | (pass-if "documented?" |
| 0c57673a LC |
2784 | (documented? +)) |
| 2785 | ||
| 2786 | ;; The maximum fixnum on a 32-bit architecture: 2^29 - 1. | |
| 2787 | (pass-if "fixnum + fixnum = bignum (32-bit)" | |
| 2788 | (eqv? 536870912 (+ 536870910 2))) | |
| 2789 | ||
| 2790 | ;; The maximum fixnum on a 64-bit architecture: 2^61 - 1. | |
| 2791 | (pass-if "fixnum + fixnum = bignum (64-bit)" | |
| 2792 | (eqv? 2305843009213693952 (+ 2305843009213693950 2))) | |
| 2793 | ||
| 2794 | (pass-if "bignum + fixnum = fixnum" | |
| 2795 | (eqv? 0 (+ (1+ most-positive-fixnum) most-negative-fixnum)))) | |
| f29b3454 | 2796 | |
| f29b3454 DH |
2797 | ;;; |
| 2798 | ;;; - | |
| 2799 | ;;; | |
| 2800 | ||
| 0c57673a | 2801 | (with-test-prefix/c&e "-" |
| 072e6de2 | 2802 | |
| b5c40589 MW |
2803 | (pass-if "double-negation of fixnum-min: =" |
| 2804 | (= fixnum-min (- (- fixnum-min)))) | |
| 2805 | (pass-if "double-negation of fixnum-min: eqv?" | |
| 2806 | (eqv? fixnum-min (- (- fixnum-min)))) | |
| 2807 | (pass-if "double-negation of fixnum-min: equal?" | |
| 2808 | (equal? fixnum-min (- (- fixnum-min)))) | |
| 2809 | ||
| 2810 | (pass-if "binary double-negation of fixnum-min: =" | |
| 2811 | (= fixnum-min (- 0 (- 0 fixnum-min)))) | |
| 2812 | (pass-if "binary double-negation of fixnum-min: eqv?" | |
| 2813 | (eqv? fixnum-min (- 0 (- 0 fixnum-min)))) | |
| 2814 | (pass-if "binary double-negation of fixnum-min: equal?" | |
| 2815 | (equal? fixnum-min (- 0 (- 0 fixnum-min)))) | |
| 2816 | ||
| 072e6de2 KR |
2817 | (pass-if "-inum - +bignum" |
| 2818 | (= #x-100000000000000000000000000000001 | |
| ef016629 KR |
2819 | (- -1 #x100000000000000000000000000000000))) |
| 2820 | ||
| 2821 | (pass-if "big - inum" | |
| 2822 | (= #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | |
| 2823 | (- #x100000000000000000000000000000000 1))) | |
| 2824 | ||
| 2825 | (pass-if "big - -inum" | |
| 2826 | (= #x100000000000000000000000000000001 | |
| 0c57673a LC |
2827 | (- #x100000000000000000000000000000000 -1))) |
| 2828 | ||
| 2829 | ;; The mininum fixnum on a 32-bit architecture: -2^29. | |
| 2830 | (pass-if "fixnum - fixnum = bignum (32-bit)" | |
| 2831 | (eqv? -536870912 (- -536870910 2))) | |
| 2832 | ||
| 2833 | ;; The minimum fixnum on a 64-bit architecture: -2^61. | |
| 2834 | (pass-if "fixnum - fixnum = bignum (64-bit)" | |
| 2835 | (eqv? -2305843009213693952 (- -2305843009213693950 2))) | |
| 2836 | ||
| 2837 | (pass-if "bignum - fixnum = fixnum" | |
| 2838 | (eqv? most-positive-fixnum (- (1+ most-positive-fixnum) 1)))) | |
| 072e6de2 | 2839 | |
| f29b3454 DH |
2840 | ;;; |
| 2841 | ;;; * | |
| 2842 | ;;; | |
| 2843 | ||
| 65ea251e KR |
2844 | (with-test-prefix "*" |
| 2845 | ||
| b5c40589 MW |
2846 | (with-test-prefix "double-negation of fixnum-min" |
| 2847 | (pass-if (= fixnum-min (* -1 (* -1 fixnum-min)))) | |
| 2848 | (pass-if (eqv? fixnum-min (* -1 (* -1 fixnum-min)))) | |
| 2849 | (pass-if (equal? fixnum-min (* -1 (* -1 fixnum-min)))) | |
| 2850 | (pass-if (= fixnum-min (* (* fixnum-min -1) -1))) | |
| 2851 | (pass-if (eqv? fixnum-min (* (* fixnum-min -1) -1))) | |
| 2852 | (pass-if (equal? fixnum-min (* (* fixnum-min -1) -1)))) | |
| 2853 | ||
| 5e791807 MW |
2854 | (with-test-prefix "exactness propagation" |
| 2855 | (pass-if (eqv? -0.0 (* 0 -1.0 ))) | |
| 2856 | (pass-if (eqv? 0.0 (* 0 1.0 ))) | |
| 2857 | (pass-if (eqv? -0.0 (* -1.0 0 ))) | |
| 2858 | (pass-if (eqv? 0.0 (* 1.0 0 ))) | |
| 2859 | (pass-if (eqv? 0 (* 0 1/2 ))) | |
| 2860 | (pass-if (eqv? 0 (* 1/2 0 ))) | |
| 2861 | (pass-if (eqv? 0.0+0.0i (* 0 1+i ))) | |
| 2862 | (pass-if (eqv? 0.0+0.0i (* 1+i 0 ))) | |
| 2863 | (pass-if (eqv? -1.0 (* 1 -1.0 ))) | |
| 2864 | (pass-if (eqv? 1.0 (* 1 1.0 ))) | |
| 2865 | (pass-if (eqv? -1.0 (* -1.0 1 ))) | |
| 2866 | (pass-if (eqv? 1.0 (* 1.0 1 ))) | |
| 2867 | (pass-if (eqv? 1/2 (* 1 1/2 ))) | |
| 2868 | (pass-if (eqv? 1/2 (* 1/2 1 ))) | |
| 2869 | (pass-if (eqv? 1+i (* 1 1+i ))) | |
| 2870 | (pass-if (eqv? 1+i (* 1+i 1 )))) | |
| 2871 | ||
| 2872 | (with-test-prefix "propagation of NaNs" | |
| 2873 | (pass-if (real-nan? (* +nan.0 +nan.0))) | |
| 2874 | (pass-if (real-nan? (* +nan.0 1 ))) | |
| 2875 | (pass-if (real-nan? (* +nan.0 -1 ))) | |
| 2876 | (pass-if (real-nan? (* +nan.0 -7/2 ))) | |
| 2877 | (pass-if (real-nan? (* +nan.0 1e20 ))) | |
| 2878 | (pass-if (real-nan? (* 1 +nan.0))) | |
| 2879 | (pass-if (real-nan? (* -1 +nan.0))) | |
| 2880 | (pass-if (real-nan? (* -7/2 +nan.0))) | |
| 2881 | (pass-if (real-nan? (* 1e20 +nan.0))) | |
| 2882 | (pass-if (real-nan? (* +inf.0 +nan.0))) | |
| 2883 | (pass-if (real-nan? (* +nan.0 +inf.0))) | |
| 2884 | (pass-if (real-nan? (* -inf.0 +nan.0))) | |
| 2885 | (pass-if (real-nan? (* +nan.0 -inf.0))) | |
| 2886 | (pass-if (real-nan? (* (* fixnum-max 2) +nan.0))) | |
| 2887 | (pass-if (real-nan? (* +nan.0 (* fixnum-max 2)))) | |
| 2888 | ||
| 2889 | (pass-if (real-nan? (* 0 +nan.0 ))) | |
| 2890 | (pass-if (real-nan? (* +nan.0 0 ))) | |
| 2891 | (pass-if (real-nan? (* 0 +nan.0+i))) | |
| 2892 | (pass-if (real-nan? (* +nan.0+i 0 ))) | |
| 2893 | ||
| 2894 | (pass-if (imaginary-nan? (* 0 +nan.0i ))) | |
| 2895 | (pass-if (imaginary-nan? (* +nan.0i 0 ))) | |
| 2896 | (pass-if (imaginary-nan? (* 0 1+nan.0i ))) | |
| 2897 | (pass-if (imaginary-nan? (* 1+nan.0i 0 ))) | |
| 2898 | ||
| 2899 | (pass-if (complex-nan? (* 0 +nan.0+nan.0i ))) | |
| 2900 | (pass-if (complex-nan? (* +nan.0+nan.0i 0 )))) | |
| 2901 | ||
| 2902 | (with-test-prefix "infinities" | |
| 2903 | (pass-if (eqv? +inf.0 (* +inf.0 5 ))) | |
| 2904 | (pass-if (eqv? -inf.0 (* +inf.0 -5 ))) | |
| 2905 | (pass-if (eqv? +inf.0 (* +inf.0 73.1))) | |
| 2906 | (pass-if (eqv? -inf.0 (* +inf.0 -9.2))) | |
| 2907 | (pass-if (eqv? +inf.0 (* +inf.0 5/2))) | |
| 2908 | (pass-if (eqv? -inf.0 (* +inf.0 -5/2))) | |
| 2909 | (pass-if (eqv? -inf.0 (* -5 +inf.0))) | |
| 2910 | (pass-if (eqv? +inf.0 (* 73.1 +inf.0))) | |
| 2911 | (pass-if (eqv? -inf.0 (* -9.2 +inf.0))) | |
| 2912 | (pass-if (eqv? +inf.0 (* 5/2 +inf.0))) | |
| 2913 | (pass-if (eqv? -inf.0 (* -5/2 +inf.0))) | |
| 2914 | ||
| 2915 | (pass-if (eqv? -inf.0 (* -inf.0 5 ))) | |
| 2916 | (pass-if (eqv? +inf.0 (* -inf.0 -5 ))) | |
| 2917 | (pass-if (eqv? -inf.0 (* -inf.0 73.1))) | |
| 2918 | (pass-if (eqv? +inf.0 (* -inf.0 -9.2))) | |
| 2919 | (pass-if (eqv? -inf.0 (* -inf.0 5/2))) | |
| 2920 | (pass-if (eqv? +inf.0 (* -inf.0 -5/2))) | |
| 2921 | (pass-if (eqv? +inf.0 (* -5 -inf.0))) | |
| 2922 | (pass-if (eqv? -inf.0 (* 73.1 -inf.0))) | |
| 2923 | (pass-if (eqv? +inf.0 (* -9.2 -inf.0))) | |
| 2924 | (pass-if (eqv? -inf.0 (* 5/2 -inf.0))) | |
| 2925 | (pass-if (eqv? +inf.0 (* -5/2 -inf.0))) | |
| 2926 | ||
| 2927 | (pass-if (real-nan? (* 0.0 +inf.0))) | |
| 2928 | (pass-if (real-nan? (* -0.0 +inf.0))) | |
| 2929 | (pass-if (real-nan? (* +inf.0 0.0))) | |
| 2930 | (pass-if (real-nan? (* +inf.0 -0.0))) | |
| 2931 | ||
| 2932 | (pass-if (real-nan? (* 0.0 -inf.0))) | |
| 2933 | (pass-if (real-nan? (* -0.0 -inf.0))) | |
| 2934 | (pass-if (real-nan? (* -inf.0 0.0))) | |
| 2935 | (pass-if (real-nan? (* -inf.0 -0.0))) | |
| 2936 | ||
| 2937 | (pass-if (real-nan? (* 0 +inf.0 ))) | |
| 2938 | (pass-if (real-nan? (* +inf.0 0 ))) | |
| 2939 | (pass-if (real-nan? (* 0 +inf.0+i))) | |
| 2940 | (pass-if (real-nan? (* +inf.0+i 0 ))) | |
| 2941 | ||
| 2942 | (pass-if (real-nan? (* 0 -inf.0 ))) | |
| 2943 | (pass-if (real-nan? (* -inf.0 0 ))) | |
| 2944 | (pass-if (real-nan? (* 0 -inf.0+i))) | |
| 2945 | (pass-if (real-nan? (* -inf.0+i 0 ))) | |
| 2946 | ||
| 2947 | (pass-if (imaginary-nan? (* 0 +inf.0i ))) | |
| 2948 | (pass-if (imaginary-nan? (* +inf.0i 0 ))) | |
| 2949 | (pass-if (imaginary-nan? (* 0 1+inf.0i ))) | |
| 2950 | (pass-if (imaginary-nan? (* 1+inf.0i 0 ))) | |
| 2951 | ||
| 2952 | (pass-if (imaginary-nan? (* 0 -inf.0i ))) | |
| 2953 | (pass-if (imaginary-nan? (* -inf.0i 0 ))) | |
| 2954 | (pass-if (imaginary-nan? (* 0 1-inf.0i ))) | |
| 2955 | (pass-if (imaginary-nan? (* 1-inf.0i 0 ))) | |
| 2956 | ||
| 2957 | (pass-if (complex-nan? (* 0 +inf.0+inf.0i ))) | |
| 2958 | (pass-if (complex-nan? (* +inf.0+inf.0i 0 ))) | |
| 2959 | ||
| 2960 | (pass-if (complex-nan? (* 0 +inf.0-inf.0i ))) | |
| 2961 | (pass-if (complex-nan? (* -inf.0+inf.0i 0 )))) | |
| 2962 | ||
| 23d72566 KR |
2963 | (with-test-prefix "inum * bignum" |
| 2964 | ||
| 2965 | (pass-if "0 * 2^256 = 0" | |
| 2966 | (eqv? 0 (* 0 (ash 1 256))))) | |
| 2967 | ||
| 2968 | (with-test-prefix "inum * flonum" | |
| 2969 | ||
| 5e791807 MW |
2970 | (pass-if "0 * 1.0 = 0.0" |
| 2971 | (eqv? 0.0 (* 0 1.0)))) | |
| 23d72566 KR |
2972 | |
| 2973 | (with-test-prefix "inum * complex" | |
| 2974 | ||
| 5e791807 MW |
2975 | (pass-if "0 * 1+1i = 0.0+0.0i" |
| 2976 | (eqv? 0.0+0.0i (* 0 1+1i)))) | |
| 23d72566 KR |
2977 | |
| 2978 | (with-test-prefix "inum * frac" | |
| 2979 | ||
| 2980 | (pass-if "0 * 2/3 = 0" | |
| 2981 | (eqv? 0 (* 0 2/3)))) | |
| 2982 | ||
| 2983 | (with-test-prefix "bignum * inum" | |
| 2984 | ||
| 2985 | (pass-if "2^256 * 0 = 0" | |
| 2986 | (eqv? 0 (* (ash 1 256) 0)))) | |
| 2987 | ||
| 2988 | (with-test-prefix "flonum * inum" | |
| 5e791807 MW |
2989 | (pass-if "1.0 * 0 = 0.0" |
| 2990 | (eqv? 0.0 (* 1.0 0)))) | |
| 23d72566 KR |
2991 | |
| 2992 | (with-test-prefix "complex * inum" | |
| 5e791807 MW |
2993 | (pass-if "1+1i * 0 = 0.0+0.0i" |
| 2994 | (eqv? 0.0+0.0i (* 1+1i 0)))) | |
| 23d72566 | 2995 | |
| 65ea251e KR |
2996 | (pass-if "complex * bignum" |
| 2997 | (let ((big (ash 1 90))) | |
| 2998 | (= (make-rectangular big big) | |
| 23d72566 KR |
2999 | (* 1+1i big)))) |
| 3000 | ||
| 3001 | (with-test-prefix "frac * inum" | |
| 3002 | ||
| 3003 | (pass-if "2/3 * 0 = 0" | |
| 3004 | (eqv? 0 (* 2/3 0))))) | |
| 65ea251e | 3005 | |
| f29b3454 DH |
3006 | ;;; |
| 3007 | ;;; / | |
| 3008 | ;;; | |
| 3009 | ||
| 1b3a7932 DH |
3010 | (with-test-prefix "/" |
| 3011 | ||
| b5c40589 MW |
3012 | (with-test-prefix "double-negation of fixnum-min" |
| 3013 | (pass-if (= fixnum-min (/ (/ fixnum-min -1) -1))) | |
| 3014 | (pass-if (eqv? fixnum-min (/ (/ fixnum-min -1) -1))) | |
| 3015 | (pass-if (equal? fixnum-min (/ (/ fixnum-min -1) -1)))) | |
| 3016 | ||
| d389e966 | 3017 | (pass-if "documented?" |
| 1b3a7932 DH |
3018 | (documented? /)) |
| 3019 | ||
| 3020 | (with-test-prefix "division by zero" | |
| 3021 | ||
| 3022 | (pass-if-exception "(/ 0)" | |
| 2f359170 | 3023 | exception:numerical-overflow |
| 1b3a7932 DH |
3024 | (/ 0)) |
| 3025 | ||
| cdf52e3d MV |
3026 | (pass-if "(/ 0.0)" |
| 3027 | (= +inf.0 (/ 0.0))) | |
| 80074d77 | 3028 | |
| 1b3a7932 | 3029 | (pass-if-exception "(/ 1 0)" |
| 2f359170 | 3030 | exception:numerical-overflow |
| 80074d77 DH |
3031 | (/ 1 0)) |
| 3032 | ||
| cdf52e3d MV |
3033 | (pass-if "(/ 1 0.0)" |
| 3034 | (= +inf.0 (/ 1 0.0))) | |
| 80074d77 DH |
3035 | |
| 3036 | (pass-if-exception "(/ bignum 0)" | |
| 2f359170 | 3037 | exception:numerical-overflow |
| 80074d77 DH |
3038 | (/ (+ fixnum-max 1) 0)) |
| 3039 | ||
| cdf52e3d MV |
3040 | (pass-if "(/ bignum 0.0)" |
| 3041 | (= +inf.0 (/ (+ fixnum-max 1) 0.0))) | |
| 80074d77 DH |
3042 | |
| 3043 | (pass-if-exception "(/ 1.0 0)" | |
| 2f359170 | 3044 | exception:numerical-overflow |
| 80074d77 DH |
3045 | (/ 1.0 0)) |
| 3046 | ||
| cdf52e3d MV |
3047 | (pass-if "(/ 1.0 0.0)" |
| 3048 | (= +inf.0 (/ 1.0 0.0))) | |
| 80074d77 DH |
3049 | |
| 3050 | (pass-if-exception "(/ +i 0)" | |
| 2f359170 | 3051 | exception:numerical-overflow |
| 80074d77 DH |
3052 | (/ +i 0)) |
| 3053 | ||
| cdf52e3d MV |
3054 | (pass-if "(/ +i 0.0)" |
| 3055 | (= +inf.0 (imag-part (/ +i 0.0))))) | |
| 469b963c | 3056 | |
| 2f359170 KR |
3057 | (with-test-prefix "1/complex" |
| 3058 | ||
| 3059 | (pass-if "0+1i" | |
| 3060 | (eqv? 0-1i (/ 0+1i))) | |
| 3061 | ||
| 3062 | ;; in guile 1.6 through 1.6.7 this incorrectly resulted in nans | |
| 3063 | (pass-if "0-1i" | |
| 3064 | (eqv? 0+1i (/ 0-1i))) | |
| 3065 | ||
| 3066 | (pass-if "1+1i" | |
| 3067 | (eqv? 0.5-0.5i (/ 1+1i))) | |
| 3068 | ||
| 3069 | (pass-if "1-1i" | |
| 3070 | (eqv? 0.5+0.5i (/ 1-1i))) | |
| 3071 | ||
| 3072 | (pass-if "-1+1i" | |
| 3073 | (eqv? -0.5-0.5i (/ -1+1i))) | |
| 3074 | ||
| 3075 | (pass-if "-1-1i" | |
| 3076 | (eqv? -0.5+0.5i (/ -1-1i))) | |
| 469b963c MV |
3077 | |
| 3078 | (pass-if "(/ 3+4i)" | |
| 3079 | (= (/ 3+4i) 0.12-0.16i)) | |
| 3080 | ||
| 3081 | (pass-if "(/ 4+3i)" | |
| 3082 | (= (/ 4+3i) 0.16-0.12i)) | |
| 3083 | ||
| 2f359170 KR |
3084 | (pass-if "(/ 1e200+1e200i)" |
| 3085 | (= (/ 1e200+1e200i) 5.0e-201-5.0e-201i))) | |
| 469b963c | 3086 | |
| 2f359170 | 3087 | (with-test-prefix "inum/complex" |
| 469b963c MV |
3088 | |
| 3089 | (pass-if "(/ 25 3+4i)" | |
| 3090 | (= (/ 25 3+4i) 3.0-4.0i)) | |
| 3091 | ||
| 3092 | (pass-if "(/ 25 4+3i)" | |
| 2f359170 | 3093 | (= (/ 25 4+3i) 4.0-3.0i))) |
| 469b963c | 3094 | |
| 2f359170 KR |
3095 | (with-test-prefix "complex/complex" |
| 3096 | ||
| 3097 | (pass-if "(/ 25+125i 3+4i)" | |
| 3098 | (= (/ 25+125i 3+4i) 23.0+11.0i)) | |
| 3099 | ||
| 3100 | (pass-if "(/ 25+125i 4+3i)" | |
| 3101 | (= (/ 25+125i 4+3i) 19.0+17.0i)))) | |
| 1b3a7932 | 3102 | |
| f29b3454 DH |
3103 | ;;; |
| 3104 | ;;; truncate | |
| 3105 | ;;; | |
| 3106 | ||
| 14a6784c KR |
3107 | (with-test-prefix "truncate" |
| 3108 | (pass-if (= 1 (truncate 1.75))) | |
| 3109 | (pass-if (= 1 (truncate 1.5))) | |
| 3110 | (pass-if (= 1 (truncate 1.25))) | |
| 3111 | (pass-if (= 0 (truncate 0.75))) | |
| 3112 | (pass-if (= 0 (truncate 0.5))) | |
| 3113 | (pass-if (= 0 (truncate 0.0))) | |
| 3114 | (pass-if (= 0 (truncate -0.5))) | |
| 3115 | (pass-if (= -1 (truncate -1.25))) | |
| 3116 | (pass-if (= -1 (truncate -1.5)))) | |
| 3117 | ||
| f29b3454 DH |
3118 | ;;; |
| 3119 | ;;; round | |
| 3120 | ;;; | |
| 3121 | ||
| 14a6784c KR |
3122 | (with-test-prefix "round" |
| 3123 | (pass-if (= 2 (round 1.75))) | |
| 3124 | (pass-if (= 2 (round 1.5))) | |
| 3125 | (pass-if (= 1 (round 1.25))) | |
| 3126 | (pass-if (= 1 (round 0.75))) | |
| 3127 | (pass-if (= 0 (round 0.5))) | |
| 3128 | (pass-if (= 0 (round 0.0))) | |
| 3129 | (pass-if (= 0 (round -0.5))) | |
| 3130 | (pass-if (= -1 (round -1.25))) | |
| abff733b KR |
3131 | (pass-if (= -2 (round -1.5))) |
| 3132 | ||
| 3133 | (with-test-prefix "inum" | |
| 3134 | (pass-if "0" | |
| 3135 | (and (= 0 (round 0)) | |
| 3136 | (exact? (round 0)))) | |
| 3137 | ||
| 3138 | (pass-if "1" | |
| 3139 | (and (= 1 (round 1)) | |
| 3140 | (exact? (round 1)))) | |
| 3141 | ||
| 3142 | (pass-if "-1" | |
| 3143 | (and (= -1 (round -1)) | |
| 3144 | (exact? (round -1))))) | |
| 3145 | ||
| 3146 | (with-test-prefix "bignum" | |
| 3147 | (let ((x (1+ most-positive-fixnum))) | |
| 3148 | (pass-if "(1+ most-positive-fixnum)" | |
| 3149 | (and (= x (round x)) | |
| 3150 | (exact? (round x))))) | |
| 3151 | ||
| 3152 | (let ((x (1- most-negative-fixnum))) | |
| 3153 | (pass-if "(1- most-negative-fixnum)" | |
| 3154 | (and (= x (round x)) | |
| 3155 | (exact? (round x)))))) | |
| 3156 | ||
| 6203b5f5 KR |
3157 | (with-test-prefix "frac" |
| 3158 | (define (=exact x y) | |
| 3159 | (and (= x y) | |
| 3160 | (exact? y))) | |
| 3161 | ||
| 3162 | (pass-if (=exact -2 (round -7/3))) | |
| 3163 | (pass-if (=exact -2 (round -5/3))) | |
| 3164 | (pass-if (=exact -1 (round -4/3))) | |
| 3165 | (pass-if (=exact -1 (round -2/3))) | |
| 3166 | (pass-if (=exact 0 (round -1/3))) | |
| 3167 | (pass-if (=exact 0 (round 1/3))) | |
| 3168 | (pass-if (=exact 1 (round 2/3))) | |
| 3169 | (pass-if (=exact 1 (round 4/3))) | |
| 3170 | (pass-if (=exact 2 (round 5/3))) | |
| 3171 | (pass-if (=exact 2 (round 7/3))) | |
| 3172 | ||
| 3173 | (pass-if (=exact -3 (round -17/6))) | |
| 3174 | (pass-if (=exact -3 (round -16/6))) | |
| 3175 | (pass-if (=exact -2 (round -15/6))) | |
| 3176 | (pass-if (=exact -2 (round -14/6))) | |
| 3177 | (pass-if (=exact -2 (round -13/6))) | |
| 3178 | (pass-if (=exact -2 (round -11/6))) | |
| 3179 | (pass-if (=exact -2 (round -10/6))) | |
| 3180 | (pass-if (=exact -2 (round -9/6))) | |
| 3181 | (pass-if (=exact -1 (round -8/6))) | |
| 3182 | (pass-if (=exact -1 (round -7/6))) | |
| 3183 | (pass-if (=exact -1 (round -5/6))) | |
| 3184 | (pass-if (=exact -1 (round -4/6))) | |
| 3185 | (pass-if (=exact 0 (round -3/6))) | |
| 3186 | (pass-if (=exact 0 (round -2/6))) | |
| 3187 | (pass-if (=exact 0 (round -1/6))) | |
| 3188 | (pass-if (=exact 0 (round 1/6))) | |
| 3189 | (pass-if (=exact 0 (round 2/6))) | |
| 3190 | (pass-if (=exact 0 (round 3/6))) | |
| 3191 | (pass-if (=exact 1 (round 4/6))) | |
| 3192 | (pass-if (=exact 1 (round 5/6))) | |
| 3193 | (pass-if (=exact 1 (round 7/6))) | |
| 3194 | (pass-if (=exact 1 (round 8/6))) | |
| 3195 | (pass-if (=exact 2 (round 9/6))) | |
| 3196 | (pass-if (=exact 2 (round 10/6))) | |
| 3197 | (pass-if (=exact 2 (round 11/6))) | |
| 3198 | (pass-if (=exact 2 (round 13/6))) | |
| 3199 | (pass-if (=exact 2 (round 14/6))) | |
| 3200 | (pass-if (=exact 2 (round 15/6))) | |
| 3201 | (pass-if (=exact 3 (round 16/6))) | |
| 3202 | (pass-if (=exact 3 (round 17/6)))) | |
| 3203 | ||
| abff733b KR |
3204 | (with-test-prefix "real" |
| 3205 | (pass-if "0.0" | |
| 3206 | (and (= 0.0 (round 0.0)) | |
| 3207 | (inexact? (round 0.0)))) | |
| 3208 | ||
| 3209 | (pass-if "1.0" | |
| 3210 | (and (= 1.0 (round 1.0)) | |
| 3211 | (inexact? (round 1.0)))) | |
| 3212 | ||
| 3213 | (pass-if "-1.0" | |
| 3214 | (and (= -1.0 (round -1.0)) | |
| 3215 | (inexact? (round -1.0)))) | |
| 3216 | ||
| 3217 | (pass-if "-3.1" | |
| 3218 | (and (= -3.0 (round -3.1)) | |
| 3219 | (inexact? (round -3.1)))) | |
| 3220 | ||
| 3221 | (pass-if "3.1" | |
| 3222 | (and (= 3.0 (round 3.1)) | |
| 3223 | (inexact? (round 3.1)))) | |
| 3224 | ||
| 3225 | (pass-if "3.9" | |
| 3226 | (and (= 4.0 (round 3.9)) | |
| 3227 | (inexact? (round 3.9)))) | |
| 3228 | ||
| 3229 | (pass-if "-3.9" | |
| 3230 | (and (= -4.0 (round -3.9)) | |
| 3231 | (inexact? (round -3.9)))) | |
| 3232 | ||
| 3233 | (pass-if "1.5" | |
| 3234 | (and (= 2.0 (round 1.5)) | |
| 3235 | (inexact? (round 1.5)))) | |
| 3236 | ||
| 3237 | (pass-if "2.5" | |
| 3238 | (and (= 2.0 (round 2.5)) | |
| 3239 | (inexact? (round 2.5)))) | |
| 3240 | ||
| 3241 | (pass-if "3.5" | |
| 3242 | (and (= 4.0 (round 3.5)) | |
| 3243 | (inexact? (round 3.5)))) | |
| 3244 | ||
| 3245 | (pass-if "-1.5" | |
| 3246 | (and (= -2.0 (round -1.5)) | |
| 3247 | (inexact? (round -1.5)))) | |
| 3248 | ||
| 3249 | (pass-if "-2.5" | |
| 3250 | (and (= -2.0 (round -2.5)) | |
| 3251 | (inexact? (round -2.5)))) | |
| 3252 | ||
| 3253 | (pass-if "-3.5" | |
| 3254 | (and (= -4.0 (round -3.5)) | |
| 3255 | (inexact? (round -3.5)))) | |
| 3256 | ||
| 3257 | ;; prior to guile 1.6.5, on an IEEE system an inexact 2^53-1 (ie. a | |
| 3258 | ;; float with mantissa all ones) came out as 2^53 from `round' (except | |
| 3259 | ;; on i386 and m68k systems using the coprocessor and optimizing, where | |
| 3260 | ;; extra precision hid the problem) | |
| 3261 | (pass-if "2^53-1" | |
| 3262 | (let ((x (exact->inexact (1- (ash 1 53))))) | |
| 3263 | (and (= x (round x)) | |
| 3264 | (inexact? (round x))))) | |
| 3265 | (pass-if "-(2^53-1)" | |
| 3266 | (let ((x (exact->inexact (- (1- (ash 1 53)))))) | |
| 3267 | (and (= x (round x)) | |
| 3268 | (inexact? (round x))))))) | |
| 14a6784c | 3269 | |
| f29b3454 DH |
3270 | ;;; |
| 3271 | ;;; exact->inexact | |
| 3272 | ;;; | |
| 3273 | ||
| a1fb3b1c KR |
3274 | (with-test-prefix "exact->inexact" |
| 3275 | ||
| 3276 | ;; Test "(exact->inexact n)", expect "want". | |
| 3277 | ;; "i" is a index, for diagnostic purposes. | |
| 3278 | (define (try-i i n want) | |
| 3279 | (with-test-prefix (list i n want) | |
| 3280 | (with-test-prefix "pos" | |
| 3281 | (let ((got (exact->inexact n))) | |
| 3282 | (pass-if "inexact?" (inexact? got)) | |
| 3283 | (pass-if (list "=" got) (= want got)))) | |
| 3284 | (set! n (- n)) | |
| 3285 | (set! want (- want)) | |
| 3286 | (with-test-prefix "neg" | |
| 3287 | (let ((got (exact->inexact n))) | |
| 3288 | (pass-if "inexact?" (inexact? got)) | |
| 3289 | (pass-if (list "=" got) (= want got)))))) | |
| 3290 | ||
| 3291 | (with-test-prefix "2^i, no round" | |
| 3292 | (do ((i 0 (1+ i)) | |
| 3293 | (n 1 (* 2 n)) | |
| 3294 | (want 1.0 (* 2.0 want))) | |
| 3295 | ((> i 100)) | |
| 3296 | (try-i i n want))) | |
| 3297 | ||
| 3298 | (with-test-prefix "2^i+1, no round" | |
| 3299 | (do ((i 1 (1+ i)) | |
| 3300 | (n 3 (1- (* 2 n))) | |
| 3301 | (want 3.0 (- (* 2.0 want) 1.0))) | |
| 3302 | ((>= i dbl-mant-dig)) | |
| 3303 | (try-i i n want))) | |
| 3304 | ||
| 3305 | (with-test-prefix "(2^i+1)*2^100, no round" | |
| 3306 | (do ((i 1 (1+ i)) | |
| 3307 | (n 3 (1- (* 2 n))) | |
| 3308 | (want 3.0 (- (* 2.0 want) 1.0))) | |
| 3309 | ((>= i dbl-mant-dig)) | |
| 3310 | (try-i i (ash n 100) (ash-flo want 100)))) | |
| 3311 | ||
| 3312 | ;; bit pattern: 1111....11100.00 | |
| 3313 | ;; <-mantdig-><-i-> | |
| 3314 | ;; | |
| 3315 | (with-test-prefix "mantdig ones then zeros, no rounding" | |
| 3316 | (do ((i 0 (1+ i)) | |
| 3317 | (n (- (ash 1 dbl-mant-dig) 1) (* 2 n)) | |
| 3318 | (want (- (ash-flo 1.0 dbl-mant-dig) 1.0) (* 2.0 want))) | |
| 3319 | ((> i 100)) | |
| 3320 | (try-i i n want))) | |
| 3321 | ||
| 3322 | ;; bit pattern: 1111....111011..1 | |
| 3323 | ;; <-mantdig-> <-i-> | |
| 3324 | ;; This sort of value was incorrectly rounded upwards in Guile 1.6.4 when | |
| 3325 | ;; i >= 11 (that's when the total is 65 or more bits). | |
| 3326 | ;; | |
| 3327 | (with-test-prefix "mantdig ones then 011..11, round down" | |
| 3328 | (do ((i 0 (1+ i)) | |
| 3329 | (n (- (ash 1 (+ 1 dbl-mant-dig)) 2) (+ 1 (* 2 n))) | |
| 3330 | (want (- (ash-flo 1.0 (+ 1 dbl-mant-dig)) 2.0) (* 2.0 want))) | |
| 3331 | ((> i 100)) | |
| 3332 | (try-i i n want))) | |
| 3333 | ||
| 3334 | ;; bit pattern: 1111....111100..001 | |
| 3335 | ;; <-mantdig-> <--i-> | |
| 3336 | ;; | |
| 3337 | (with-test-prefix "mantdig ones then 100..001, round up" | |
| 3338 | (do ((i 0 (1+ i)) | |
| 3339 | (n (- (ash 1 (+ 2 dbl-mant-dig)) 1) (1- (* 2 n))) | |
| 3340 | (want (ash-flo 1.0 (+ 2 dbl-mant-dig)) (* 2.0 want))) | |
| 3341 | ((> i 100)) | |
| 3342 | (try-i i n want))) | |
| 3343 | ||
| 3344 | ;; bit pattern: 1000....000100..001 | |
| 3345 | ;; <-mantdig-> <--i-> | |
| 3346 | ;; | |
| 3347 | (with-test-prefix "2^mantdig then 100..001, round up" | |
| 3348 | (do ((i 0 (1+ i)) | |
| 3349 | (n (- (ash 1 (+ 2 dbl-mant-dig)) 1) (1- (* 2 n))) | |
| 3350 | (want (+ (ash-flo 1.0 (+ 2 dbl-mant-dig)) 4.0) (* 2.0 want))) | |
| 3351 | ((> i 100)) | |
| 23f2b9a3 KR |
3352 | (try-i i n want))) |
| 3353 | ||
| 3354 | (pass-if "frac big/big" | |
| 3355 | (let ((big (ash 1 256))) | |
| 3356 | (= 1.0 (exact->inexact (/ (1+ big) big))))) | |
| 3357 | ||
| 3358 | ;; In guile 1.8.0 this failed, giving back "nan" because it tried to | |
| 3359 | ;; convert the num and den to doubles, resulting in infs. | |
| 3360 | (pass-if "frac big/big, exceeding double" | |
| 3361 | (let ((big (ash 1 4096))) | |
| 3362 | (= 1.0 (exact->inexact (/ (1+ big) big)))))) | |
| a1fb3b1c | 3363 | |
| f29b3454 DH |
3364 | ;;; |
| 3365 | ;;; floor | |
| 3366 | ;;; | |
| 3367 | ||
| 3368 | ;;; | |
| 3369 | ;;; ceiling | |
| 3370 | ;;; | |
| 3371 | ||
| 46f2c0f1 RB |
3372 | ;;; |
| 3373 | ;;; expt | |
| 3374 | ;;; | |
| 3375 | ||
| 3376 | (with-test-prefix "expt" | |
| 2519490c | 3377 | (pass-if (documented? expt)) |
| bfe1f03a MW |
3378 | |
| 3379 | ;; | |
| 3380 | ;; expt no longer requires its first argument to be a scheme number, | |
| 3381 | ;; for the sake of extensibility, and expt calls integer-expt for | |
| 3382 | ;; integer powers. To raise to a positive power, all that is required | |
| 3383 | ;; is that it can be multiplied using `*'. For negative powers we | |
| 3384 | ;; must also be able to find the reciprocal. If we try to raise #t to | |
| 3385 | ;; any power other than 0 or 1 it may throw an exception, depending on | |
| 3386 | ;; whether * has been defined for #t. However, when raising to the 0 | |
| 3387 | ;; or 1 power, the first argument is not manipulated at all. | |
| 3388 | ;; | |
| 3389 | ;; (pass-if-exception "non-numeric base" exception:wrong-type-arg | |
| 3390 | ;; (expt #t 0)) | |
| 3391 | ;; | |
| 3392 | ||
| 01c7284a MW |
3393 | (pass-if (eqv? 1 (expt 0 0))) |
| 3394 | (pass-if (eqv? 1 (expt 0.0 0))) | |
| 3395 | (pass-if (eqv? 1.0 (expt 0 0.0))) | |
| 3396 | (pass-if (eqv? 1.0 (expt 0.0 0.0))) | |
| 55a8b708 MW |
3397 | (pass-if (real-nan? (expt 0 -1))) |
| 3398 | (pass-if (real-nan? (expt 0 -1.0))) | |
| 3399 | (pass-if (real-nan? (expt 0.0 -1))) | |
| 3400 | (pass-if (real-nan? (expt 0.0 -1.0))) | |
| 01c7284a MW |
3401 | (pass-if (eqv? 0 (expt 0 3))) |
| 3402 | (pass-if (= 0 (expt 0 4.0))) | |
| 3403 | (pass-if (eqv? 0.0 (expt 0.0 5))) | |
| 3404 | (pass-if (eqv? 0.0 (expt 0.0 6.0))) | |
| 3405 | (pass-if (eqv? -2742638075.5 (expt -2742638075.5 1))) | |
| 3406 | (pass-if (eqv? (* -2742638075.5 -2742638075.5) | |
| 3407 | (expt -2742638075.5 2))) | |
| 3408 | (pass-if (eqv? 4.0 (expt -2.0 2.0))) | |
| 3409 | (pass-if (eqv? -1/8 (expt -2 -3))) | |
| 3410 | (pass-if (eqv? -0.125 (expt -2.0 -3))) | |
| 3411 | (pass-if (eqv? -0.125 (expt -2 -3.0))) | |
| 3412 | (pass-if (eqv? -0.125 (expt -2.0 -3.0))) | |
| 3413 | (pass-if (eqv? 0.25 (expt 2.0 -2.0))) | |
| 3414 | (pass-if (eqv? (* -1.0 12398 12398) (expt +12398i 2.0))) | |
| 3415 | (pass-if (eqv-loosely? +i (expt -1 0.5))) | |
| 3416 | (pass-if (eqv-loosely? +i (expt -1 1/2))) | |
| 8e43ed5d AW |
3417 | (pass-if (eqv-loosely? 1.0+1.7320508075688i (expt -8 1/3))) |
| 3418 | (pass-if (eqv? +inf.0 (expt 2 +inf.0))) | |
| 3419 | (pass-if (eqv? +inf.0 (expt 2.0 +inf.0))) | |
| 3420 | (pass-if (eqv? 0.0 (expt 2 -inf.0))) | |
| 3421 | (pass-if (eqv? 0.0 (expt 2.0 -inf.0)))) | |
| 01c7284a | 3422 | |
| 46f2c0f1 | 3423 | |
| 14a6784c KR |
3424 | ;;; |
| 3425 | ;;; asinh | |
| 3426 | ;;; | |
| 3427 | ||
| 3428 | (with-test-prefix "asinh" | |
| 3429 | (pass-if (= 0 (asinh 0)))) | |
| 3430 | ||
| 3431 | ;;; | |
| 3432 | ;;; acosh | |
| 3433 | ;;; | |
| 3434 | ||
| 3435 | (with-test-prefix "acosh" | |
| 3436 | (pass-if (= 0 (acosh 1)))) | |
| 3437 | ||
| 3438 | ;;; | |
| 3439 | ;;; atanh | |
| 3440 | ;;; | |
| 3441 | ||
| 3442 | (with-test-prefix "atanh" | |
| 3443 | (pass-if (= 0 (atanh 0)))) | |
| 3444 | ||
| f29b3454 DH |
3445 | ;;; |
| 3446 | ;;; make-rectangular | |
| 3447 | ;;; | |
| 3448 | ||
| 3449 | ;;; | |
| 3450 | ;;; make-polar | |
| 3451 | ;;; | |
| 3452 | ||
| d40681ec KR |
3453 | (with-test-prefix "make-polar" |
| 3454 | (define pi 3.14159265358979323846) | |
| 3455 | (define (almost= x y) | |
| 3456 | (> 0.01 (magnitude (- x y)))) | |
| 3457 | ||
| 3458 | (pass-if (= 0 (make-polar 0 0))) | |
| 3459 | (pass-if (= 0 (make-polar 0 123.456))) | |
| 3460 | (pass-if (= 1 (make-polar 1 0))) | |
| 3461 | (pass-if (= -1 (make-polar -1 0))) | |
| 3462 | ||
| 3463 | (pass-if (almost= 0+i (make-polar 1 (* 0.5 pi)))) | |
| 3464 | (pass-if (almost= -1 (make-polar 1 (* 1.0 pi)))) | |
| 3465 | (pass-if (almost= 0-i (make-polar 1 (* 1.5 pi)))) | |
| 3466 | (pass-if (almost= 1 (make-polar 1 (* 2.0 pi))))) | |
| 3467 | ||
| f29b3454 DH |
3468 | ;;; |
| 3469 | ;;; real-part | |
| 3470 | ;;; | |
| 3471 | ||
| 2519490c MW |
3472 | (with-test-prefix "real-part" |
| 3473 | (pass-if (documented? real-part)) | |
| 3474 | (pass-if (eqv? 5.0 (real-part 5.0))) | |
| 3475 | (pass-if (eqv? 0.0 (real-part +5.0i))) | |
| 3476 | (pass-if (eqv? 5 (real-part 5))) | |
| 3477 | (pass-if (eqv? 1/5 (real-part 1/5))) | |
| 3478 | (pass-if (eqv? (1+ fixnum-max) (real-part (1+ fixnum-max))))) | |
| 3479 | ||
| f29b3454 DH |
3480 | ;;; |
| 3481 | ;;; imag-part | |
| 3482 | ;;; | |
| 3483 | ||
| 2519490c MW |
3484 | (with-test-prefix "imag-part" |
| 3485 | (pass-if (documented? imag-part)) | |
| 3486 | (pass-if (eqv? 0.0 (imag-part 5.0))) | |
| 3487 | (pass-if (eqv? 5.0 (imag-part +5.0i))) | |
| 3488 | (pass-if (eqv? 0 (imag-part 5))) | |
| 3489 | (pass-if (eqv? 0 (imag-part 1/5))) | |
| 3490 | (pass-if (eqv? 0 (imag-part (1+ fixnum-max))))) | |
| 3491 | ||
| f29b3454 DH |
3492 | ;;; |
| 3493 | ;;; magnitude | |
| 3494 | ;;; | |
| 3495 | ||
| d40681ec | 3496 | (with-test-prefix "magnitude" |
| 2519490c | 3497 | (pass-if (documented? magnitude)) |
| d40681ec KR |
3498 | (pass-if (= 0 (magnitude 0))) |
| 3499 | (pass-if (= 1 (magnitude 1))) | |
| 3500 | (pass-if (= 1 (magnitude -1))) | |
| 3501 | (pass-if (= 1 (magnitude 0+i))) | |
| 3502 | (pass-if (= 1 (magnitude 0-i))) | |
| 3503 | (pass-if (= 5 (magnitude 3+4i))) | |
| 3504 | (pass-if (= 5 (magnitude 3-4i))) | |
| 3505 | (pass-if (= 5 (magnitude -3+4i))) | |
| 3506 | (pass-if (= 5 (magnitude -3-4i)))) | |
| 3507 | ||
| f29b3454 DH |
3508 | ;;; |
| 3509 | ;;; angle | |
| 3510 | ;;; | |
| 3511 | ||
| cfc9fc1c KR |
3512 | (with-test-prefix "angle" |
| 3513 | (define pi 3.14159265358979323846) | |
| 3514 | (define (almost= x y) | |
| 3515 | (> 0.01 (magnitude (- x y)))) | |
| 3516 | ||
| 2519490c MW |
3517 | (pass-if (documented? angle)) |
| 3518 | ||
| cfc9fc1c KR |
3519 | (pass-if "inum +ve" (= 0 (angle 1))) |
| 3520 | (pass-if "inum -ve" (almost= pi (angle -1))) | |
| 3521 | ||
| 3522 | (pass-if "bignum +ve" (= 0 (angle (1+ fixnum-max)))) | |
| 3523 | (pass-if "bignum -ve" (almost= pi (angle (1- fixnum-min)))) | |
| 3524 | ||
| 3525 | (pass-if "flonum +ve" (= 0 (angle 1.5))) | |
| 3526 | (pass-if "flonum -ve" (almost= pi (angle -1.5)))) | |
| 3527 | ||
| f29b3454 DH |
3528 | ;;; |
| 3529 | ;;; inexact->exact | |
| 3530 | ;;; | |
| 300c6a76 | 3531 | |
| 1259cb26 | 3532 | (with-test-prefix "inexact->exact" |
| 2519490c MW |
3533 | (pass-if (documented? inexact->exact)) |
| 3534 | ||
| 9dd9857f | 3535 | (pass-if-exception "+inf" exception:out-of-range |
| a409f865 | 3536 | (inexact->exact +inf.0)) |
| 1259cb26 | 3537 | |
| 9dd9857f | 3538 | (pass-if-exception "-inf" exception:out-of-range |
| a409f865 | 3539 | (inexact->exact -inf.0)) |
| 1259cb26 | 3540 | |
| 9dd9857f | 3541 | (pass-if-exception "nan" exception:out-of-range |
| a409f865 | 3542 | (inexact->exact +nan.0)) |
| 1259cb26 KR |
3543 | |
| 3544 | (with-test-prefix "2.0**i to exact and back" | |
| 3545 | (do ((i 0 (1+ i)) | |
| 3546 | (n 1.0 (* 2.0 n))) | |
| 3547 | ((> i 100)) | |
| 3548 | (pass-if (list i n) | |
| 3549 | (= n (inexact->exact (exact->inexact n))))))) | |
| 3550 | ||
| c1122753 KR |
3551 | ;;; |
| 3552 | ;;; integer-expt | |
| 3553 | ;;; | |
| 3554 | ||
| 3555 | (with-test-prefix "integer-expt" | |
| 2519490c | 3556 | (pass-if (documented? integer-expt)) |
| c1122753 KR |
3557 | |
| 3558 | (pass-if-exception "2^+inf" exception:wrong-type-arg | |
| 3559 | (integer-expt 2 +inf.0)) | |
| 3560 | (pass-if-exception "2^-inf" exception:wrong-type-arg | |
| 3561 | (integer-expt 2 -inf.0)) | |
| 3562 | (pass-if-exception "2^nan" exception:wrong-type-arg | |
| 01c7284a MW |
3563 | (integer-expt 2 +nan.0)) |
| 3564 | ||
| 3565 | (pass-if (eqv? 1 (integer-expt 0 0))) | |
| 3566 | (pass-if (eqv? 1 (integer-expt 0.0 0))) | |
| 55a8b708 MW |
3567 | (pass-if (real-nan? (integer-expt 0 -1))) |
| 3568 | (pass-if (real-nan? (integer-expt 0.0 -1))) | |
| 01c7284a MW |
3569 | (pass-if (eqv? 0 (integer-expt 0 3))) |
| 3570 | (pass-if (eqv? 0.0 (integer-expt 0.0 5))) | |
| 3571 | (pass-if (eqv? -2742638075.5 (integer-expt -2742638075.5 1))) | |
| 3572 | (pass-if (eqv? (* -2742638075.5 -2742638075.5) | |
| 3573 | (integer-expt -2742638075.5 2))) | |
| 3574 | (pass-if (eqv? 4.0 (integer-expt -2.0 2))) | |
| 3575 | (pass-if (eqv? -1/8 (integer-expt -2 -3))) | |
| 3576 | (pass-if (eqv? -0.125 (integer-expt -2.0 -3))) | |
| 3577 | (pass-if (eqv? 0.25 (integer-expt 2.0 -2))) | |
| 3578 | (pass-if (eqv? (* -1.0 12398 12398) (integer-expt +12398.0i 2)))) | |
| 3579 | ||
| c1122753 | 3580 | |
| a04a3604 KR |
3581 | ;;; |
| 3582 | ;;; integer-length | |
| 3583 | ;;; | |
| 3584 | ||
| 3585 | (with-test-prefix "integer-length" | |
| 2519490c | 3586 | (pass-if (documented? integer-length)) |
| a04a3604 KR |
3587 | |
| 3588 | (with-test-prefix "-2^i, ...11100..00" | |
| 3589 | (do ((n -1 (ash n 1)) | |
| 3590 | (i 0 (1+ i))) | |
| 3591 | ((> i 256)) | |
| 3592 | (pass-if (list n "expect" i) | |
| 3593 | (= i (integer-length n))))) | |
| 3594 | ||
| 3595 | (with-test-prefix "-2^i+1 ...11100..01" | |
| 3596 | (do ((n -3 (logxor 3 (ash n 1))) | |
| 3597 | (i 2 (1+ i))) | |
| 3598 | ((> i 256)) | |
| 3599 | (pass-if n | |
| 3600 | (= i (integer-length n))))) | |
| 3601 | ||
| 3602 | (with-test-prefix "-2^i-1 ...111011..11" | |
| 3603 | (do ((n -2 (1+ (ash n 1))) | |
| 3604 | (i 1 (1+ i))) | |
| 3605 | ((> i 256)) | |
| 3606 | (pass-if n | |
| 3607 | (= i (integer-length n)))))) | |
| 3608 | ||
| 8ab3d8a0 KR |
3609 | ;;; |
| 3610 | ;;; log | |
| 3611 | ;;; | |
| 3612 | ||
| 3613 | (with-test-prefix "log" | |
| 2519490c | 3614 | (pass-if (documented? log)) |
| 8ab3d8a0 KR |
3615 | |
| 3616 | (pass-if-exception "no args" exception:wrong-num-args | |
| 3617 | (log)) | |
| 3618 | (pass-if-exception "two args" exception:wrong-num-args | |
| 3619 | (log 123 456)) | |
| 3620 | ||
| 3621 | (pass-if (negative-infinity? (log 0))) | |
| 3622 | (pass-if (negative-infinity? (log 0.0))) | |
| 3623 | (pass-if (eqv? 0.0 (log 1))) | |
| 3624 | (pass-if (eqv? 0.0 (log 1.0))) | |
| 3625 | (pass-if (eqv-loosely? 1.0 (log const-e))) | |
| 3626 | (pass-if (eqv-loosely? 2.0 (log const-e^2))) | |
| 3627 | (pass-if (eqv-loosely? -1.0 (log const-1/e))) | |
| 3628 | ||
| 3629 | (pass-if (eqv-loosely? 1.0+1.57079i (log 0+2.71828i))) | |
| 3630 | (pass-if (eqv-loosely? 1.0-1.57079i (log 0-2.71828i))) | |
| 3631 | ||
| 3632 | (pass-if (eqv-loosely? 0.0+3.14159i (log -1.0))) | |
| 3633 | (pass-if (eqv-loosely? 1.0+3.14159i (log -2.71828))) | |
| 3634 | (pass-if (eqv-loosely? 2.0+3.14159i (log (* -2.71828 2.71828))))) | |
| 3635 | ||
| 3636 | ;;; | |
| 3637 | ;;; log10 | |
| 3638 | ;;; | |
| 3639 | ||
| 3640 | (with-test-prefix "log10" | |
| 2519490c | 3641 | (pass-if (documented? log10)) |
| 8ab3d8a0 KR |
3642 | |
| 3643 | (pass-if-exception "no args" exception:wrong-num-args | |
| 3644 | (log10)) | |
| 3645 | (pass-if-exception "two args" exception:wrong-num-args | |
| 3646 | (log10 123 456)) | |
| 3647 | ||
| 3648 | (pass-if (negative-infinity? (log10 0))) | |
| 3649 | (pass-if (negative-infinity? (log10 0.0))) | |
| 3650 | (pass-if (eqv? 0.0 (log10 1))) | |
| 3651 | (pass-if (eqv? 0.0 (log10 1.0))) | |
| 3652 | (pass-if (eqv-loosely? 1.0 (log10 10.0))) | |
| 3653 | (pass-if (eqv-loosely? 2.0 (log10 100.0))) | |
| 3654 | (pass-if (eqv-loosely? -1.0 (log10 0.1))) | |
| 3655 | ||
| 3656 | (pass-if (eqv-loosely? 1.0+0.68218i (log10 0+10.0i))) | |
| 3657 | (pass-if (eqv-loosely? 1.0-0.68218i (log10 0-10.0i))) | |
| 3658 | ||
| 3659 | (pass-if (eqv-loosely? 0.0+1.36437i (log10 -1))) | |
| 3660 | (pass-if (eqv-loosely? 1.0+1.36437i (log10 -10))) | |
| 3661 | (pass-if (eqv-loosely? 2.0+1.36437i (log10 -100)))) | |
| 3662 | ||
| abff733b KR |
3663 | ;;; |
| 3664 | ;;; logbit? | |
| 3665 | ;;; | |
| 3666 | ||
| 3667 | (with-test-prefix "logbit?" | |
| 2519490c MW |
3668 | (pass-if (documented? logbit?)) |
| 3669 | ||
| abff733b KR |
3670 | (pass-if (eq? #f (logbit? 0 0))) |
| 3671 | (pass-if (eq? #f (logbit? 1 0))) | |
| 3672 | (pass-if (eq? #f (logbit? 31 0))) | |
| 3673 | (pass-if (eq? #f (logbit? 32 0))) | |
| 3674 | (pass-if (eq? #f (logbit? 33 0))) | |
| 3675 | (pass-if (eq? #f (logbit? 63 0))) | |
| 3676 | (pass-if (eq? #f (logbit? 64 0))) | |
| 3677 | (pass-if (eq? #f (logbit? 65 0))) | |
| 3678 | ||
| 3679 | ;; prior to guile 1.6.5, testing bit 32, 64 etc of value 1 would wrap | |
| 3680 | ;; around and return #t where it ought to be #f | |
| 3681 | (pass-if (eq? #t (logbit? 0 1))) | |
| 3682 | (pass-if (eq? #f (logbit? 1 1))) | |
| 3683 | (pass-if (eq? #f (logbit? 31 1))) | |
| 3684 | (pass-if (eq? #f (logbit? 32 1))) | |
| 3685 | (pass-if (eq? #f (logbit? 33 1))) | |
| 3686 | (pass-if (eq? #f (logbit? 63 1))) | |
| 3687 | (pass-if (eq? #f (logbit? 64 1))) | |
| 3688 | (pass-if (eq? #f (logbit? 65 1))) | |
| 3689 | (pass-if (eq? #f (logbit? 128 1))) | |
| 3690 | ||
| 3691 | (pass-if (eq? #t (logbit? 0 -1))) | |
| 3692 | (pass-if (eq? #t (logbit? 1 -1))) | |
| 3693 | (pass-if (eq? #t (logbit? 31 -1))) | |
| 3694 | (pass-if (eq? #t (logbit? 32 -1))) | |
| 3695 | (pass-if (eq? #t (logbit? 33 -1))) | |
| 3696 | (pass-if (eq? #t (logbit? 63 -1))) | |
| 3697 | (pass-if (eq? #t (logbit? 64 -1))) | |
| 3698 | (pass-if (eq? #t (logbit? 65 -1)))) | |
| 3699 | ||
| 300c6a76 KR |
3700 | ;;; |
| 3701 | ;;; logcount | |
| 3702 | ;;; | |
| 3703 | ||
| 3704 | (with-test-prefix "logcount" | |
| 2519490c | 3705 | (pass-if (documented? logcount)) |
| 300c6a76 KR |
3706 | |
| 3707 | (with-test-prefix "-2^i, meaning ...11100..00" | |
| 3708 | (do ((n -1 (ash n 1)) | |
| 3709 | (i 0 (1+ i))) | |
| 3710 | ((> i 256)) | |
| 795c0bae KR |
3711 | (pass-if n |
| 3712 | (= i (logcount n))))) | |
| 3713 | ||
| 3714 | (with-test-prefix "2^i" | |
| 3715 | (do ((n 1 (ash n 1)) | |
| 3716 | (i 0 (1+ i))) | |
| 3717 | ((> i 256)) | |
| 3718 | (pass-if n | |
| 3719 | (= 1 (logcount n))))) | |
| 3720 | ||
| 3721 | (with-test-prefix "2^i-1" | |
| 3722 | (do ((n 0 (1+ (ash n 1))) | |
| 3723 | (i 0 (1+ i))) | |
| 3724 | ((> i 256)) | |
| 300c6a76 KR |
3725 | (pass-if n |
| 3726 | (= i (logcount n)))))) | |
| 795c0bae | 3727 | |
| afd09cfb KR |
3728 | ;;; |
| 3729 | ;;; logior | |
| 3730 | ;;; | |
| 3731 | ||
| 3732 | (with-test-prefix "logior" | |
| 2519490c MW |
3733 | (pass-if (documented? logior)) |
| 3734 | ||
| afd09cfb KR |
3735 | (pass-if (eqv? -1 (logior (ash -1 1) 1))) |
| 3736 | ||
| 3737 | ;; check that bignum or bignum+inum args will reduce to an inum | |
| 3738 | (let () | |
| 3739 | (define (test x y) | |
| 3740 | (pass-if (list x y '=> -1) | |
| 3741 | (eqv? -1 (logior x y))) | |
| 3742 | (pass-if (list y x '=> -1) | |
| 3743 | (eqv? -1 (logior y x)))) | |
| 3744 | (test (ash -1 8) #xFF) | |
| 3745 | (test (ash -1 28) #x0FFFFFFF) | |
| 3746 | (test (ash -1 29) #x1FFFFFFF) | |
| 3747 | (test (ash -1 30) #x3FFFFFFF) | |
| 3748 | (test (ash -1 31) #x7FFFFFFF) | |
| 3749 | (test (ash -1 32) #xFFFFFFFF) | |
| 3750 | (test (ash -1 33) #x1FFFFFFFF) | |
| 3751 | (test (ash -1 60) #x0FFFFFFFFFFFFFFF) | |
| 3752 | (test (ash -1 61) #x1FFFFFFFFFFFFFFF) | |
| 3753 | (test (ash -1 62) #x3FFFFFFFFFFFFFFF) | |
| 3754 | (test (ash -1 63) #x7FFFFFFFFFFFFFFF) | |
| 3755 | (test (ash -1 64) #xFFFFFFFFFFFFFFFF) | |
| 3756 | (test (ash -1 65) #x1FFFFFFFFFFFFFFFF) | |
| 3757 | (test (ash -1 128) #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))) | |
| 3758 | ||
| 1ec2dd6f KR |
3759 | ;;; |
| 3760 | ;;; lognot | |
| 3761 | ;;; | |
| 3762 | ||
| 3763 | (with-test-prefix "lognot" | |
| 2519490c MW |
3764 | (pass-if (documented? lognot)) |
| 3765 | ||
| 1ec2dd6f KR |
3766 | (pass-if (= -1 (lognot 0))) |
| 3767 | (pass-if (= 0 (lognot -1))) | |
| 3768 | (pass-if (= -2 (lognot 1))) | |
| 3769 | (pass-if (= 1 (lognot -2))) | |
| 3770 | ||
| 3771 | (pass-if (= #x-100000000000000000000000000000000 | |
| 3772 | (lognot #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))) | |
| 3773 | (pass-if (= #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | |
| 3774 | (lognot #x-100000000000000000000000000000000)))) | |
| 8ab3d8a0 KR |
3775 | |
| 3776 | ;;; | |
| 3777 | ;;; sqrt | |
| 3778 | ;;; | |
| 3779 | ||
| 3780 | (with-test-prefix "sqrt" | |
| 2519490c | 3781 | (pass-if (documented? sqrt)) |
| 8ab3d8a0 KR |
3782 | |
| 3783 | (pass-if-exception "no args" exception:wrong-num-args | |
| 3784 | (sqrt)) | |
| 3785 | (pass-if-exception "two args" exception:wrong-num-args | |
| 3786 | (sqrt 123 456)) | |
| 3787 | ||
| 3788 | (pass-if (eqv? 0.0 (sqrt 0))) | |
| 3789 | (pass-if (eqv? 0.0 (sqrt 0.0))) | |
| 3790 | (pass-if (eqv? 1.0 (sqrt 1.0))) | |
| 3791 | (pass-if (eqv-loosely? 2.0 (sqrt 4.0))) | |
| 3792 | (pass-if (eqv-loosely? 31.62 (sqrt 1000.0))) | |
| 3793 | ||
| 3794 | (pass-if (eqv? +1.0i (sqrt -1.0))) | |
| 3795 | (pass-if (eqv-loosely? +2.0i (sqrt -4.0))) | |
| 3796 | (pass-if (eqv-loosely? +31.62i (sqrt -1000.0))) | |
| 3797 | ||
| 3798 | (pass-if "+i swings back to 45deg angle" | |
| 3799 | (eqv-loosely? +0.7071+0.7071i (sqrt +1.0i))) | |
| 3800 | ||
| 3801 | ;; Note: glibc 2.3 csqrt() had a bug affecting this test case, so if it | |
| 3802 | ;; fails check whether that's the cause (there's a configure test to | |
| 3803 | ;; reject it, but when cross-compiling we assume the C library is ok). | |
| 3804 | (pass-if "-100i swings back to 45deg down" | |
| 3805 | (eqv-loosely? +7.071-7.071i (sqrt -100.0i)))) | |
| 3806 | ||
| ff62c168 MW |
3807 | ;;; |
| 3808 | ;;; euclidean/ | |
| 3809 | ;;; euclidean-quotient | |
| 3810 | ;;; euclidean-remainder | |
| 3811 | ;;; centered/ | |
| 3812 | ;;; centered-quotient | |
| 3813 | ;;; centered-remainder | |
| 3814 | ;;; | |
| 3815 | ||
| 3816 | (with-test-prefix "Number-theoretic division" | |
| 3817 | ||
| 3818 | ;; Tests that (lo <= x < hi), | |
| 3819 | ;; but allowing for imprecision | |
| 3820 | ;; if x is inexact. | |
| 3821 | (define (test-within-range? lo hi x) | |
| 3822 | (if (exact? x) | |
| 3823 | (and (<= lo x) (< x hi)) | |
| 3824 | (let ((lo (- lo test-epsilon)) | |
| 3825 | (hi (+ hi test-epsilon))) | |
| 3826 | (<= lo x hi)))) | |
| 3827 | ||
| a8591a55 MW |
3828 | ;; (cartesian-product-map list '(a b) '(1 2)) |
| 3829 | ;; ==> ((a 1) (a 2) (b 1) (b 2)) | |
| 3830 | (define (cartesian-product-map f . lsts) | |
| 3831 | (define (cartmap rev-head lsts) | |
| 3832 | (if (null? lsts) | |
| 3833 | (list (apply f (reverse rev-head))) | |
| 3834 | (append-map (lambda (x) (cartmap (cons x rev-head) (cdr lsts))) | |
| 3835 | (car lsts)))) | |
| 3836 | (cartmap '() lsts)) | |
| 3837 | ||
| 3838 | (define (cartesian-product-for-each f . lsts) | |
| 3839 | (define (cartfor rev-head lsts) | |
| 3840 | (if (null? lsts) | |
| 3841 | (apply f (reverse rev-head)) | |
| 3842 | (for-each (lambda (x) (cartfor (cons x rev-head) (cdr lsts))) | |
| 3843 | (car lsts)))) | |
| 3844 | (cartfor '() lsts)) | |
| 3845 | ||
| ff62c168 MW |
3846 | (define (safe-euclidean-quotient x y) |
| 3847 | (cond ((not (and (real? x) (real? y))) (throw 'wrong-type-arg)) | |
| 3848 | ((zero? y) (throw 'divide-by-zero)) | |
| 3849 | ((nan? y) (nan)) | |
| 3850 | ((positive? y) (floor (/ x y))) | |
| 3851 | ((negative? y) (ceiling (/ x y))) | |
| 3852 | (else (throw 'unknown-problem)))) | |
| 3853 | ||
| 3854 | (define (safe-euclidean-remainder x y) | |
| a8591a55 MW |
3855 | (let ((q (safe-euclidean-quotient x y))) |
| 3856 | (- x (* y q)))) | |
| 3857 | ||
| 3858 | (define (valid-euclidean-answer? x y q r) | |
| 3859 | (if (and (finite? x) (finite? y)) | |
| 3860 | (and (eq? (exact? q) | |
| 3861 | (exact? r) | |
| 3862 | (and (exact? x) (exact? y))) | |
| 3863 | (integer? q) | |
| 3864 | (test-eqv? r (- x (* q y))) | |
| 3865 | (test-within-range? 0 (abs y) r)) | |
| 3866 | (and (test-eqv? q (safe-euclidean-quotient x y)) | |
| 3867 | (test-eqv? r (safe-euclidean-remainder x y))))) | |
| ff62c168 MW |
3868 | |
| 3869 | (define (safe-centered-quotient x y) | |
| 3870 | (cond ((not (and (real? x) (real? y))) (throw 'wrong-type-arg)) | |
| 3871 | ((zero? y) (throw 'divide-by-zero)) | |
| 3872 | ((nan? y) (nan)) | |
| 3873 | ((positive? y) (floor (+ 1/2 (/ x y)))) | |
| 3874 | ((negative? y) (ceiling (+ -1/2 (/ x y)))) | |
| 3875 | (else (throw 'unknown-problem)))) | |
| 3876 | ||
| 3877 | (define (safe-centered-remainder x y) | |
| a8591a55 MW |
3878 | (let ((q (safe-centered-quotient x y))) |
| 3879 | (- x (* y q)))) | |
| 3880 | ||
| 3881 | (define (valid-centered-answer? x y q r) | |
| 3882 | (if (and (finite? x) (finite? y)) | |
| 3883 | (and (eq? (exact? q) | |
| 3884 | (exact? r) | |
| 3885 | (and (exact? x) (exact? y))) | |
| 3886 | (integer? q) | |
| 3887 | (test-eqv? r (- x (* q y))) | |
| 3888 | (test-within-range? (* -1/2 (abs y)) | |
| 3889 | (* +1/2 (abs y)) | |
| 3890 | r)) | |
| 3891 | (and (test-eqv? q (safe-centered-quotient x y)) | |
| 3892 | (test-eqv? r (safe-centered-remainder x y))))) | |
| ff62c168 MW |
3893 | |
| 3894 | (define test-numerators | |
| a8591a55 MW |
3895 | (append (cartesian-product-map * '(1 -1) |
| 3896 | '(123 125 127 130 3 5 10 | |
| 3897 | 123.2 125.0 127.2 130.0 | |
| 3898 | 123/7 125/7 127/7 130/7)) | |
| 3899 | (cartesian-product-map * '(1 -1) | |
| 3900 | '(123 125 127 130 3 5 10) | |
| 3901 | (list 1 | |
| 3902 | (+ 1 most-positive-fixnum) | |
| 3903 | (+ 2 most-positive-fixnum))) | |
| 3904 | (list 0 +0.0 -0.0 +inf.0 -inf.0 +nan.0 | |
| 3905 | most-negative-fixnum | |
| 3906 | (1+ most-positive-fixnum) | |
| 3907 | (1- most-negative-fixnum)))) | |
| ff62c168 MW |
3908 | |
| 3909 | (define test-denominators | |
| 3910 | (list 10 5 10/7 127/2 10.0 63.5 | |
| 3911 | -10 -5 -10/7 -127/2 -10.0 -63.5 | |
| 3912 | +inf.0 -inf.0 +nan.0 most-negative-fixnum | |
| 3913 | (+ 1 most-positive-fixnum) (+ -1 most-negative-fixnum) | |
| 3914 | (+ 2 most-positive-fixnum) (+ -2 most-negative-fixnum))) | |
| 3915 | ||
| ff62c168 | 3916 | (with-test-prefix "euclidean/" |
| a8591a55 MW |
3917 | (pass-if (documented? euclidean/)) |
| 3918 | (pass-if (documented? euclidean-quotient)) | |
| 3919 | (pass-if (documented? euclidean-remainder)) | |
| 3920 | ||
| 3921 | (cartesian-product-for-each | |
| 3922 | (lambda (n d) | |
| 3923 | (run-test (list 'euclidean/ n d) #t | |
| 3924 | (lambda () | |
| 3925 | (let-values (((q r) (euclidean/ n d))) | |
| 3926 | (and (test-eqv? q (euclidean-quotient n d)) | |
| 3927 | (test-eqv? r (euclidean-remainder n d)) | |
| 3928 | (valid-euclidean-answer? n d q r)))))) | |
| 3929 | test-numerators test-denominators)) | |
| 3930 | ||
| ff62c168 | 3931 | (with-test-prefix "centered/" |
| a8591a55 MW |
3932 | (pass-if (documented? centered/)) |
| 3933 | (pass-if (documented? centered-quotient)) | |
| 3934 | (pass-if (documented? centered-remainder)) | |
| 3935 | ||
| 3936 | (cartesian-product-for-each | |
| 3937 | (lambda (n d) | |
| 3938 | (run-test (list 'centered/ n d) #t | |
| 3939 | (lambda () | |
| 3940 | (let-values (((q r) (centered/ n d))) | |
| 3941 | (and (test-eqv? q (centered-quotient n d)) | |
| 3942 | (test-eqv? r (centered-remainder n d)) | |
| 3943 | (valid-centered-answer? n d q r)))))) | |
| 3944 | test-numerators test-denominators))) |