HCoop / bpt / guile.git / blame
| Commit | Line | Data |
|---|---|---|
| de142bea | 1 | ;;;; numbers.test --- tests guile's numbers -*- scheme -*- |
| f480a98e MW |
2 | ;;;; Copyright (C) 2000, 2001, 2003, 2004, 2005, 2006, 2009, 2010, 2011, |
| 3 | ;;;; 2012, 2013 Free Software Foundation, Inc. | |
| de142bea | 4 | ;;;; |
| 73be1d9e MV |
5 | ;;;; This library is free software; you can redistribute it and/or |
| 6 | ;;;; modify it under the terms of the GNU Lesser General Public | |
| 7 | ;;;; License as published by the Free Software Foundation; either | |
| 53befeb7 | 8 | ;;;; version 3 of the License, or (at your option) any later version. |
| 73be1d9e MV |
9 | ;;;; |
| 10 | ;;;; This library is distributed in the hope that it will be useful, | |
| de142bea | 11 | ;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 73be1d9e MV |
12 | ;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 13 | ;;;; Lesser General Public License for more details. | |
| 14 | ;;;; | |
| 15 | ;;;; You should have received a copy of the GNU Lesser General Public | |
| 16 | ;;;; License along with this library; if not, write to the Free Software | |
| 92205699 | 17 | ;;;; Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
| de142bea | 18 | |
| a1fb3b1c KR |
19 | (define-module (test-suite test-numbers) |
| 20 | #:use-module (test-suite lib) | |
| ff62c168 | 21 | #:use-module (ice-9 documentation) |
| a8591a55 | 22 | #:use-module (srfi srfi-1) ; list library |
| ff62c168 | 23 | #:use-module (srfi srfi-11)) ; let-values |
| de142bea | 24 | |
| de142bea DH |
25 | ;;; |
| 26 | ;;; miscellaneous | |
| 27 | ;;; | |
| 28 | ||
| 1b3a7932 DH |
29 | (define exception:numerical-overflow |
| 30 | (cons 'numerical-overflow "^Numerical overflow")) | |
| 31 | ||
| cb18f2a8 | 32 | (define (documented? object) |
| 5c96bc39 | 33 | (not (not (object-documentation object)))) |
| de142bea | 34 | |
| 8b7838b5 | 35 | (define fixnum-bit |
| ba0e46ea MW |
36 | (do ((i 0 (+ 1 i)) |
| 37 | (n 1 (* 2 n))) | |
| 38 | ((> n most-positive-fixnum) | |
| 39 | (+ 1 i)))) | |
| 8b7838b5 | 40 | |
| 21e39e8f DH |
41 | (define fixnum-min most-negative-fixnum) |
| 42 | (define fixnum-max most-positive-fixnum) | |
| de142bea | 43 | |
| a1fb3b1c KR |
44 | ;; Divine the number of bits in the mantissa of a flonum. |
| 45 | ;; We look for when 2.0^i+1.0 gets rounded, ie. the difference between that | |
| 46 | ;; value and 2.0^k is not 1.0. | |
| 47 | ;; Of course this assumes flonums have a fixed precision mantissa, but | |
| 48 | ;; that's the case now and probably into the forseeable future. | |
| 49 | ;; On an IEEE system, which means pretty much everywhere, the value here is | |
| 50 | ;; the usual 53. | |
| 51 | ;; | |
| 52 | (define dbl-mant-dig | |
| 24475b86 MW |
53 | (do ((prec 0 (+ prec 1)) |
| 54 | (eps 1.0 (/ eps 2.0))) | |
| 55 | ((begin (when (> prec 1000000) | |
| 56 | (error "Unable to determine dbl-mant-dig")) | |
| 57 | (= 1.0 (+ 1.0 eps))) | |
| 58 | prec))) | |
| 59 | ||
| 60 | (define dbl-epsilon | |
| 61 | (expt 0.5 (- dbl-mant-dig 1))) | |
| 62 | ||
| 98237784 MW |
63 | (define dbl-epsilon-exact |
| 64 | (expt 1/2 (- dbl-mant-dig 1))) | |
| 65 | ||
| 24475b86 MW |
66 | (define dbl-min-exp |
| 67 | (do ((x 1.0 (/ x 2.0)) | |
| 68 | (y (+ 1.0 dbl-epsilon) (/ y 2.0)) | |
| 69 | (e 2 (- e 1))) | |
| 70 | ((begin (when (< e -100000000) | |
| 71 | (error "Unable to determine dbl-min-exp")) | |
| 72 | (= x y)) | |
| 73 | e))) | |
| a1fb3b1c | 74 | |
| 98237784 MW |
75 | (define dbl-max-exp |
| 76 | (do ((x 1.0 (* x 2.0)) | |
| 77 | (e 0 (+ e 1))) | |
| 78 | ((begin (when (> e 100000000) | |
| 79 | (error "Unable to determine dbl-max-exp")) | |
| 80 | (inf? x)) | |
| 81 | e))) | |
| 82 | ||
| a1fb3b1c KR |
83 | ;; like ash, but working on a flonum |
| 84 | (define (ash-flo x n) | |
| 85 | (while (> n 0) | |
| 86 | (set! x (* 2.0 x)) | |
| 87 | (set! n (1- n))) | |
| 88 | (while (< n 0) | |
| 89 | (set! x (* 0.5 x)) | |
| 90 | (set! n (1+ n))) | |
| 91 | x) | |
| 49579cbd KR |
92 | |
| 93 | ;; `quotient' but rounded towards -infinity, like `modulo' or `ash' do | |
| 94 | ;; note only positive D supported (that's all that's currently required) | |
| 95 | (define-public (quotient-floor n d) | |
| 96 | (if (negative? n) | |
| 97 | (quotient (- n d -1) d) ;; neg/pos | |
| 98 | (quotient n d))) ;; pos/pos | |
| 99 | ||
| 8ab3d8a0 KR |
100 | ;; return true of X is in the range LO to HI, inclusive |
| 101 | (define (within-range? lo hi x) | |
| 102 | (and (>= x (min lo hi)) | |
| 103 | (<= x (max lo hi)))) | |
| 104 | ||
| 105 | ;; return true if GOT is within +/- 0.01 of GOT | |
| 106 | ;; for a complex number both real and imaginary parts must be in that range | |
| 107 | (define (eqv-loosely? want got) | |
| 108 | (and (within-range? (- (real-part want) 0.01) | |
| 109 | (+ (real-part want) 0.01) | |
| 110 | (real-part got)) | |
| 111 | (within-range? (- (imag-part want) 0.01) | |
| 112 | (+ (imag-part want) 0.01) | |
| 113 | (imag-part got)))) | |
| 114 | ||
| 115 | ;; return true if OBJ is negative infinity | |
| 116 | (define (negative-infinity? obj) | |
| 117 | (and (real? obj) | |
| 118 | (negative? obj) | |
| 119 | (inf? obj))) | |
| 120 | ||
| ff62c168 MW |
121 | ;; |
| 122 | ;; Tolerance used by test-eqv? for inexact numbers. | |
| 123 | ;; | |
| 124 | (define test-epsilon 1e-10) | |
| 125 | ||
| 126 | ;; | |
| 127 | ;; Like eqv?, except that inexact finite numbers need only be within | |
| a8591a55 MW |
128 | ;; test-epsilon (1e-10) to be considered equal. For non-real complex |
| 129 | ;; numbers, each component is tested according to these rules. The | |
| 130 | ;; intent is that the known-correct value will be the first parameter. | |
| ff62c168 MW |
131 | ;; |
| 132 | (define (test-eqv? x y) | |
| 133 | (cond ((real? x) | |
| 134 | (and (real? y) (test-real-eqv? x y))) | |
| 135 | ((complex? x) | |
| 136 | (and (not (real? y)) | |
| 137 | (test-real-eqv? (real-part x) (real-part y)) | |
| 138 | (test-real-eqv? (imag-part x) (imag-part y)))) | |
| 139 | (else (eqv? x y)))) | |
| 140 | ||
| 141 | ;; Auxiliary predicate used by test-eqv? | |
| 142 | (define (test-real-eqv? x y) | |
| a8591a55 | 143 | (cond ((or (exact? x) (nan? x) (inf? x)) |
| ff62c168 MW |
144 | (eqv? x y)) |
| 145 | (else (and (inexact? y) (> test-epsilon (abs (- x y))))))) | |
| 146 | ||
| 55a8b708 MW |
147 | ;; return true if OBJ is a real NaN |
| 148 | (define (real-nan? obj) | |
| 149 | (and (real? obj) | |
| 150 | (nan? obj))) | |
| 151 | ||
| c7218482 MW |
152 | ;; return true if OBJ is a non-real complex number |
| 153 | ;; whose real part is a nan, and whose imaginary | |
| 154 | ;; part is an inexact zero. | |
| 155 | (define (almost-real-nan? obj) | |
| 156 | (and (not (real? obj)) | |
| 157 | (nan? (real-part obj)) | |
| 158 | (zero? (imag-part obj)))) | |
| 159 | ||
| 55a8b708 MW |
160 | ;; return true if both the real and imaginary |
| 161 | ;; parts of OBJ are NaNs | |
| 162 | (define (complex-nan? obj) | |
| 163 | (and (nan? (real-part obj)) | |
| 164 | (nan? (imag-part obj)))) | |
| 165 | ||
| 166 | ;; return true if the real part of OBJ is zero | |
| 167 | ;; and the imaginary part is a NaN. | |
| 168 | (define (imaginary-nan? obj) | |
| 169 | (and (zero? (real-part obj)) | |
| 170 | (nan? (imag-part obj)))) | |
| 171 | ||
| c7218482 MW |
172 | ;; return true if OBJ is a non-real complex zero |
| 173 | (define (complex-zero? obj) | |
| 174 | (and (zero? obj) | |
| 175 | (complex? obj) | |
| 176 | (not (real? obj)))) | |
| 177 | ||
| 8ab3d8a0 KR |
178 | (define const-e 2.7182818284590452354) |
| 179 | (define const-e^2 7.3890560989306502274) | |
| 180 | (define const-1/e 0.3678794411714423215) | |
| 181 | ||
| 182 | ||
| a580ebba KR |
183 | ;;; |
| 184 | ;;; 1+ | |
| 185 | ;;; | |
| 186 | ||
| f13f1e9f | 187 | (with-test-prefix/c&e "1+" |
| a580ebba KR |
188 | |
| 189 | (pass-if "documented?" | |
| 190 | (documented? 1+)) | |
| 191 | ||
| f13f1e9f LC |
192 | (pass-if "0" (eqv? 1 (1+ 0))) |
| 193 | (pass-if "-1" (eqv? 0 (1+ -1))) | |
| 194 | (pass-if "100" (eqv? 101 (1+ 100))) | |
| 195 | (pass-if "-100" (eqv? -99 (1+ -100))) | |
| e78d4bf9 LC |
196 | |
| 197 | ;; The maximum fixnum on a 32-bit architecture: 2^29 - 1. | |
| f13f1e9f LC |
198 | (pass-if "1+ fixnum = bignum (32-bit)" |
| 199 | (eqv? 536870912 (1+ 536870911))) | |
| e78d4bf9 LC |
200 | |
| 201 | ;; The maximum fixnum on a 64-bit architecture: 2^61 - 1. | |
| f13f1e9f LC |
202 | (pass-if "1+ fixnum = bignum (64-bit)" |
| 203 | (eqv? 2305843009213693952 (1+ 2305843009213693951)))) | |
| a580ebba KR |
204 | |
| 205 | ;;; | |
| 206 | ;;; 1- | |
| 207 | ;;; | |
| 208 | ||
| f13f1e9f | 209 | (with-test-prefix/c&e "1-" |
| a580ebba KR |
210 | |
| 211 | (pass-if "documented?" | |
| 212 | (documented? 1-)) | |
| 213 | ||
| f13f1e9f LC |
214 | (pass-if "0" (eqv? -1 (1- 0))) |
| 215 | (pass-if "1" (eqv? 0 (1- 1))) | |
| 216 | (pass-if "100" (eqv? 99 (1- 100))) | |
| 217 | (pass-if "-100" (eqv? -101 (1- -100))) | |
| e78d4bf9 LC |
218 | |
| 219 | ;; The minimum fixnum on a 32-bit architecture: -2^29. | |
| f13f1e9f LC |
220 | (pass-if "1- fixnum = bignum (32-bit)" |
| 221 | (eqv? -536870913 (1- -536870912))) | |
| e78d4bf9 LC |
222 | |
| 223 | ;; The minimum fixnum on a 64-bit architecture: -2^61. | |
| f13f1e9f LC |
224 | (pass-if "1- fixnum = bignum (64-bit)" |
| 225 | (eqv? -2305843009213693953 (1- -2305843009213693952)))) | |
| a580ebba | 226 | |
| de142bea DH |
227 | ;;; |
| 228 | ;;; exact? | |
| 229 | ;;; | |
| 230 | ||
| 231 | (with-test-prefix "exact?" | |
| 232 | ||
| de142bea | 233 | (pass-if "documented?" |
| cb18f2a8 | 234 | (documented? exact?)) |
| de142bea | 235 | |
| 21e39e8f | 236 | (with-test-prefix "integers" |
| de142bea | 237 | |
| 21e39e8f DH |
238 | (pass-if "0" |
| 239 | (exact? 0)) | |
| de142bea | 240 | |
| 21e39e8f DH |
241 | (pass-if "fixnum-max" |
| 242 | (exact? fixnum-max)) | |
| de142bea | 243 | |
| 21e39e8f DH |
244 | (pass-if "fixnum-max + 1" |
| 245 | (exact? (+ fixnum-max 1))) | |
| de142bea | 246 | |
| 21e39e8f DH |
247 | (pass-if "fixnum-min" |
| 248 | (exact? fixnum-min)) | |
| de142bea | 249 | |
| 21e39e8f DH |
250 | (pass-if "fixnum-min - 1" |
| 251 | (exact? (- fixnum-min 1)))) | |
| 252 | ||
| 253 | (with-test-prefix "reals" | |
| 254 | ||
| 255 | ;; (FIXME: need better examples.) | |
| 256 | ||
| 257 | (pass-if "sqrt (fixnum-max^2 - 1)" | |
| 258 | (eq? #f (exact? (sqrt (- (expt fixnum-max 2) 1))))) | |
| 259 | ||
| 260 | (pass-if "sqrt ((fixnum-max+1)^2 - 1)" | |
| 41df63cf MW |
261 | (eq? #f (exact? (sqrt (- (expt (+ fixnum-max 1) 2) 1))))) |
| 262 | ||
| 263 | (pass-if (not (exact? +inf.0))) | |
| 264 | (pass-if (not (exact? -inf.0))) | |
| 265 | (pass-if (not (exact? +nan.0))))) | |
| de142bea | 266 | |
| 8ab3d8a0 KR |
267 | ;;; |
| 268 | ;;; exp | |
| 269 | ;;; | |
| 270 | ||
| 271 | (with-test-prefix "exp" | |
| 2519490c | 272 | (pass-if (documented? exp)) |
| 8ab3d8a0 KR |
273 | |
| 274 | (pass-if-exception "no args" exception:wrong-num-args | |
| 275 | (exp)) | |
| 276 | (pass-if-exception "two args" exception:wrong-num-args | |
| 277 | (exp 123 456)) | |
| 278 | ||
| 279 | (pass-if (eqv? 0.0 (exp -inf.0))) | |
| 280 | (pass-if (eqv-loosely? 1.0 (exp 0))) | |
| 281 | (pass-if (eqv-loosely? 1.0 (exp 0.0))) | |
| 282 | (pass-if (eqv-loosely? const-e (exp 1.0))) | |
| 283 | (pass-if (eqv-loosely? const-e^2 (exp 2.0))) | |
| 284 | (pass-if (eqv-loosely? const-1/e (exp -1))) | |
| 285 | ||
| 286 | (pass-if "exp(pi*i) = -1" | |
| 287 | (eqv-loosely? -1.0 (exp 0+3.14159i))) | |
| 288 | (pass-if "exp(-pi*i) = -1" | |
| 289 | (eqv-loosely? -1.0 (exp 0-3.14159i))) | |
| 290 | (pass-if "exp(2*pi*i) = +1" | |
| 291 | (eqv-loosely? 1.0 (exp 0+6.28318i))) | |
| 292 | ||
| 293 | (pass-if "exp(2-pi*i) = -e^2" | |
| 639fd0a4 | 294 | (eqv-loosely? (- const-e^2) (exp 2.0-3.14159i)))) |
| 8ab3d8a0 | 295 | |
| de142bea DH |
296 | ;;; |
| 297 | ;;; odd? | |
| 298 | ;;; | |
| 299 | ||
| 7c24e528 RB |
300 | (with-test-prefix "odd?" |
| 301 | (pass-if (documented? odd?)) | |
| 302 | (pass-if (odd? 1)) | |
| 303 | (pass-if (odd? -1)) | |
| 4d332f19 DH |
304 | (pass-if (not (odd? 0))) |
| 305 | (pass-if (not (odd? 2))) | |
| 306 | (pass-if (not (odd? -2))) | |
| 7c24e528 | 307 | (pass-if (odd? (+ (* 2 fixnum-max) 1))) |
| 4d332f19 | 308 | (pass-if (not (odd? (* 2 fixnum-max)))) |
| 7c24e528 | 309 | (pass-if (odd? (- (* 2 fixnum-min) 1))) |
| 4d332f19 | 310 | (pass-if (not (odd? (* 2 fixnum-min))))) |
| de142bea DH |
311 | |
| 312 | ;;; | |
| 313 | ;;; even? | |
| 314 | ;;; | |
| 315 | ||
| 7c24e528 RB |
316 | (with-test-prefix "even?" |
| 317 | (pass-if (documented? even?)) | |
| 318 | (pass-if (even? 2)) | |
| 319 | (pass-if (even? -2)) | |
| 320 | (pass-if (even? 0)) | |
| 4d332f19 DH |
321 | (pass-if (not (even? 1))) |
| 322 | (pass-if (not (even? -1))) | |
| 323 | (pass-if (not (even? (+ (* 2 fixnum-max) 1)))) | |
| 7c24e528 | 324 | (pass-if (even? (* 2 fixnum-max))) |
| 4d332f19 | 325 | (pass-if (not (even? (- (* 2 fixnum-min) 1)))) |
| 7c24e528 | 326 | (pass-if (even? (* 2 fixnum-min)))) |
| de142bea | 327 | |
| 7112615f MW |
328 | ;;; |
| 329 | ;;; finite? | |
| 330 | ;;; | |
| 331 | ||
| 332 | (with-test-prefix "finite?" | |
| 333 | (pass-if (documented? finite?)) | |
| 334 | (pass-if (not (finite? (inf)))) | |
| 335 | (pass-if (not (finite? +inf.0))) | |
| 336 | (pass-if (not (finite? -inf.0))) | |
| 10391e06 | 337 | (pass-if-exception |
| c9cf90d4 | 338 | "complex numbers not in domain of finite?" |
| 10391e06 AW |
339 | exception:wrong-type-arg |
| 340 | (finite? +inf.0+1i)) | |
| 341 | (pass-if-exception | |
| c9cf90d4 | 342 | "complex numbers not in domain of finite? (2)" |
| 10391e06 AW |
343 | exception:wrong-type-arg |
| 344 | (finite? +1+inf.0i)) | |
| 345 | (pass-if-exception | |
| c9cf90d4 | 346 | "complex numbers not in domain of finite? (3)" |
| 10391e06 AW |
347 | exception:wrong-type-arg |
| 348 | (finite? +1+1i)) | |
| 349 | (pass-if (finite? 3+0i)) | |
| 7112615f MW |
350 | (pass-if (not (finite? (nan)))) |
| 351 | (pass-if (not (finite? +nan.0))) | |
| 7112615f MW |
352 | (pass-if (finite? 0)) |
| 353 | (pass-if (finite? 0.0)) | |
| 354 | (pass-if (finite? -0.0)) | |
| 355 | (pass-if (finite? 42.0)) | |
| 356 | (pass-if (finite? 1/2)) | |
| 7112615f MW |
357 | (pass-if (finite? (+ fixnum-max 1))) |
| 358 | (pass-if (finite? (- fixnum-min 1)))) | |
| 359 | ||
| de142bea | 360 | ;;; |
| 7c24e528 RB |
361 | ;;; inf? and inf |
| 362 | ;;; | |
| 363 | ||
| 364 | (with-test-prefix "inf?" | |
| 365 | (pass-if (documented? inf?)) | |
| 366 | (pass-if (inf? (inf))) | |
| 367 | ;; FIXME: what are the expected behaviors? | |
| 368 | ;; (pass-if (inf? (/ 1.0 0.0)) | |
| 369 | ;; (pass-if (inf? (/ 1 0.0)) | |
| 10391e06 | 370 | (pass-if-exception |
| c9cf90d4 | 371 | "complex numbers not in domain of inf?" |
| 10391e06 AW |
372 | exception:wrong-type-arg |
| 373 | (inf? +1+inf.0i)) | |
| 374 | (pass-if (inf? +inf.0+0i)) | |
| 4d332f19 DH |
375 | (pass-if (not (inf? 0))) |
| 376 | (pass-if (not (inf? 42.0))) | |
| 377 | (pass-if (not (inf? (+ fixnum-max 1)))) | |
| 378 | (pass-if (not (inf? (- fixnum-min 1))))) | |
| 7c24e528 RB |
379 | |
| 380 | ;;; | |
| 381 | ;;; nan? and nan | |
| de142bea DH |
382 | ;;; |
| 383 | ||
| 7c24e528 RB |
384 | (with-test-prefix "nan?" |
| 385 | (pass-if (documented? nan?)) | |
| 386 | (pass-if (nan? (nan))) | |
| 387 | ;; FIXME: other ways we should be able to generate NaN? | |
| 4d332f19 DH |
388 | (pass-if (not (nan? 0))) |
| 389 | (pass-if (not (nan? 42.0))) | |
| 390 | (pass-if (not (nan? (+ fixnum-max 1)))) | |
| 391 | (pass-if (not (nan? (- fixnum-min 1))))) | |
| de142bea | 392 | |
| 7c24e528 RB |
393 | ;;; |
| 394 | ;;; abs | |
| 395 | ;;; | |
| 396 | ||
| 397 | (with-test-prefix "abs" | |
| 398 | (pass-if (documented? abs)) | |
| 9b9ef10c MW |
399 | (pass-if (eqv? 0 (abs 0))) |
| 400 | (pass-if (eqv? 1 (abs 1))) | |
| 401 | (pass-if (eqv? 1 (abs -1))) | |
| 402 | ||
| 403 | (with-test-prefix "double-negation of fixnum-min" | |
| 404 | (pass-if (eqv? fixnum-min (- (abs fixnum-min))))) | |
| 405 | ||
| 406 | (pass-if (eqv? (+ fixnum-max 1) (abs (+ fixnum-max 1)))) | |
| 407 | (pass-if (eqv? (+ (- fixnum-min) 1) (abs (- fixnum-min 1)))) | |
| 408 | ||
| 409 | (pass-if (eqv? 0.0 (abs 0.0))) | |
| 410 | (pass-if (eqv? 0.0 (abs -0.0))) | |
| 411 | (pass-if (eqv? 1.0 (abs 1.0))) | |
| 412 | (pass-if (eqv? 1.0 (abs -1.0))) | |
| 413 | (pass-if (real-nan? (abs +nan.0))) | |
| 414 | (pass-if (eqv? +inf.0 (abs +inf.0))) | |
| 415 | (pass-if (eqv? +inf.0 (abs -inf.0)))) | |
| 76903a31 | 416 | |
| de142bea DH |
417 | ;;; |
| 418 | ;;; quotient | |
| 419 | ;;; | |
| 420 | ||
| 421 | (with-test-prefix "quotient" | |
| 2519490c | 422 | (pass-if (documented? quotient)) |
| de142bea | 423 | |
| de142bea DH |
424 | (with-test-prefix "0 / n" |
| 425 | ||
| 426 | (pass-if "n = 1" | |
| 427 | (eqv? 0 (quotient 0 1))) | |
| 428 | ||
| 429 | (pass-if "n = -1" | |
| 430 | (eqv? 0 (quotient 0 -1))) | |
| 431 | ||
| 21e39e8f DH |
432 | (pass-if "n = 2" |
| 433 | (eqv? 0 (quotient 0 2))) | |
| 434 | ||
| 435 | (pass-if "n = fixnum-max" | |
| 436 | (eqv? 0 (quotient 0 fixnum-max))) | |
| 437 | ||
| 438 | (pass-if "n = fixnum-max + 1" | |
| 439 | (eqv? 0 (quotient 0 (+ fixnum-max 1)))) | |
| 440 | ||
| 441 | (pass-if "n = fixnum-min" | |
| 442 | (eqv? 0 (quotient 0 fixnum-min))) | |
| 443 | ||
| 444 | (pass-if "n = fixnum-min - 1" | |
| 445 | (eqv? 0 (quotient 0 (- fixnum-min 1))))) | |
| de142bea | 446 | |
| 21e39e8f | 447 | (with-test-prefix "1 / n" |
| de142bea DH |
448 | |
| 449 | (pass-if "n = 1" | |
| 450 | (eqv? 1 (quotient 1 1))) | |
| 451 | ||
| 452 | (pass-if "n = -1" | |
| 21e39e8f DH |
453 | (eqv? -1 (quotient 1 -1))) |
| 454 | ||
| 455 | (pass-if "n = 2" | |
| 456 | (eqv? 0 (quotient 1 2))) | |
| de142bea | 457 | |
| 21e39e8f DH |
458 | (pass-if "n = fixnum-max" |
| 459 | (eqv? 0 (quotient 1 fixnum-max))) | |
| de142bea | 460 | |
| 21e39e8f DH |
461 | (pass-if "n = fixnum-max + 1" |
| 462 | (eqv? 0 (quotient 1 (+ fixnum-max 1)))) | |
| de142bea | 463 | |
| 21e39e8f DH |
464 | (pass-if "n = fixnum-min" |
| 465 | (eqv? 0 (quotient 1 fixnum-min))) | |
| 466 | ||
| 467 | (pass-if "n = fixnum-min - 1" | |
| 468 | (eqv? 0 (quotient 1 (- fixnum-min 1))))) | |
| 469 | ||
| 470 | (with-test-prefix "-1 / n" | |
| de142bea DH |
471 | |
| 472 | (pass-if "n = 1" | |
| 21e39e8f | 473 | (eqv? -1 (quotient -1 1))) |
| de142bea DH |
474 | |
| 475 | (pass-if "n = -1" | |
| 476 | (eqv? 1 (quotient -1 -1))) | |
| 477 | ||
| 21e39e8f DH |
478 | (pass-if "n = 2" |
| 479 | (eqv? 0 (quotient -1 2))) | |
| 480 | ||
| 481 | (pass-if "n = fixnum-max" | |
| 482 | (eqv? 0 (quotient -1 fixnum-max))) | |
| 483 | ||
| 484 | (pass-if "n = fixnum-max + 1" | |
| 485 | (eqv? 0 (quotient -1 (+ fixnum-max 1)))) | |
| 486 | ||
| 487 | (pass-if "n = fixnum-min" | |
| 488 | (eqv? 0 (quotient -1 fixnum-min))) | |
| 489 | ||
| 490 | (pass-if "n = fixnum-min - 1" | |
| 491 | (eqv? 0 (quotient -1 (- fixnum-min 1))))) | |
| 492 | ||
| 493 | (with-test-prefix "fixnum-max / n" | |
| 494 | ||
| 495 | (pass-if "n = 1" | |
| 496 | (eqv? fixnum-max (quotient fixnum-max 1))) | |
| 497 | ||
| 498 | (pass-if "n = -1" | |
| 499 | (eqv? (- fixnum-max) (quotient fixnum-max -1))) | |
| 500 | ||
| 501 | (pass-if "n = 2" | |
| 502 | (eqv? fixnum-max (+ (* (quotient fixnum-max 2) 2) 1))) | |
| 503 | ||
| 504 | (pass-if "n = fixnum-max" | |
| 505 | (eqv? 1 (quotient fixnum-max fixnum-max))) | |
| 506 | ||
| 507 | (pass-if "n = fixnum-max + 1" | |
| 508 | (eqv? 0 (quotient fixnum-max (+ fixnum-max 1)))) | |
| 509 | ||
| 510 | (pass-if "n = fixnum-min" | |
| 511 | (eqv? 0 (quotient fixnum-max fixnum-min))) | |
| 512 | ||
| 513 | (pass-if "n = fixnum-min - 1" | |
| 514 | (eqv? 0 (quotient fixnum-max (- fixnum-min 1))))) | |
| 515 | ||
| 516 | (with-test-prefix "(fixnum-max + 1) / n" | |
| 517 | ||
| 518 | (pass-if "n = 1" | |
| 519 | (eqv? (+ fixnum-max 1) (quotient (+ fixnum-max 1) 1))) | |
| 520 | ||
| 521 | (pass-if "n = -1" | |
| 522 | (eqv? (- (+ fixnum-max 1)) (quotient (+ fixnum-max 1) -1))) | |
| 523 | ||
| 524 | (pass-if "n = 2" | |
| 525 | (eqv? (+ fixnum-max 1) (* (quotient (+ fixnum-max 1) 2) 2))) | |
| 526 | ||
| 527 | (pass-if "n = fixnum-max" | |
| 528 | (eqv? 1 (quotient (+ fixnum-max 1) fixnum-max))) | |
| 529 | ||
| 530 | (pass-if "n = fixnum-max + 1" | |
| 531 | (eqv? 1 (quotient (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| 532 | ||
| 533 | (pass-if "n = fixnum-min" | |
| 534 | (eqv? -1 (quotient (+ fixnum-max 1) fixnum-min))) | |
| 535 | ||
| 536 | (pass-if "n = fixnum-min - 1" | |
| 537 | (eqv? 0 (quotient (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 538 | ||
| 539 | (with-test-prefix "fixnum-min / n" | |
| 540 | ||
| 541 | (pass-if "n = 1" | |
| 542 | (eqv? fixnum-min (quotient fixnum-min 1))) | |
| 543 | ||
| 544 | (pass-if "n = -1" | |
| 545 | (eqv? (- fixnum-min) (quotient fixnum-min -1))) | |
| 546 | ||
| 547 | (pass-if "n = 2" | |
| 548 | (eqv? fixnum-min (* (quotient fixnum-min 2) 2))) | |
| 549 | ||
| 550 | (pass-if "n = fixnum-max" | |
| 551 | (eqv? -1 (quotient fixnum-min fixnum-max))) | |
| 552 | ||
| 553 | (pass-if "n = fixnum-max + 1" | |
| 554 | (eqv? -1 (quotient fixnum-min (+ fixnum-max 1)))) | |
| 555 | ||
| 556 | (pass-if "n = fixnum-min" | |
| 557 | (eqv? 1 (quotient fixnum-min fixnum-min))) | |
| 558 | ||
| 559 | (pass-if "n = fixnum-min - 1" | |
| ad22fe7c KR |
560 | (eqv? 0 (quotient fixnum-min (- fixnum-min 1)))) |
| 561 | ||
| 562 | (pass-if "n = - fixnum-min - 1" | |
| 563 | (eqv? -1 (quotient fixnum-min (1- (- fixnum-min))))) | |
| 564 | ||
| 565 | ;; special case, normally inum/big is zero | |
| 566 | (pass-if "n = - fixnum-min" | |
| 567 | (eqv? -1 (quotient fixnum-min (- fixnum-min)))) | |
| 568 | ||
| 569 | (pass-if "n = - fixnum-min + 1" | |
| 570 | (eqv? 0 (quotient fixnum-min (1+ (- fixnum-min)))))) | |
| 21e39e8f DH |
571 | |
| 572 | (with-test-prefix "(fixnum-min - 1) / n" | |
| 573 | ||
| 574 | (pass-if "n = 1" | |
| 575 | (eqv? (- fixnum-min 1) (quotient (- fixnum-min 1) 1))) | |
| 576 | ||
| 577 | (pass-if "n = -1" | |
| 578 | (eqv? (- (- fixnum-min 1)) (quotient (- fixnum-min 1) -1))) | |
| 579 | ||
| 580 | (pass-if "n = 2" | |
| 581 | (eqv? fixnum-min (* (quotient (- fixnum-min 1) 2) 2))) | |
| 582 | ||
| 583 | (pass-if "n = fixnum-max" | |
| 584 | (eqv? -1 (quotient (- fixnum-min 1) fixnum-max))) | |
| 585 | ||
| 586 | (pass-if "n = fixnum-max + 1" | |
| 587 | (eqv? -1 (quotient (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 588 | ||
| 589 | (pass-if "n = fixnum-min" | |
| 590 | (eqv? 1 (quotient (- fixnum-min 1) fixnum-min))) | |
| 591 | ||
| 592 | (pass-if "n = fixnum-min - 1" | |
| 593 | (eqv? 1 (quotient (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea | 594 | |
| 495a39c4 MW |
595 | ;; Inexact integers |
| 596 | ||
| 597 | (pass-if (eqv? 5.0 (quotient 35.0 7.0))) | |
| 598 | (pass-if (eqv? 5.0 (quotient 35 7.0))) | |
| 599 | (pass-if (eqv? 5.0 (quotient 35.0 7 ))) | |
| 600 | ||
| de142bea DH |
601 | ;; Positive dividend and divisor |
| 602 | ||
| 603 | (pass-if "35 / 7" | |
| 604 | (eqv? 5 (quotient 35 7))) | |
| 605 | ||
| 606 | ;; Negative dividend, positive divisor | |
| 607 | ||
| 608 | (pass-if "-35 / 7" | |
| 609 | (eqv? -5 (quotient -35 7))) | |
| 610 | ||
| 611 | ;; Positive dividend, negative divisor | |
| 612 | ||
| 613 | (pass-if "35 / -7" | |
| 614 | (eqv? -5 (quotient 35 -7))) | |
| 615 | ||
| 616 | ;; Negative dividend and divisor | |
| 617 | ||
| 618 | (pass-if "-35 / -7" | |
| 619 | (eqv? 5 (quotient -35 -7))) | |
| 620 | ||
| 621 | ;; Are numerical overflows detected correctly? | |
| 622 | ||
| 80074d77 DH |
623 | (with-test-prefix "division by zero" |
| 624 | ||
| 625 | (pass-if-exception "(quotient 1 0)" | |
| 626 | exception:numerical-overflow | |
| 627 | (quotient 1 0)) | |
| 628 | ||
| 629 | (pass-if-exception "(quotient bignum 0)" | |
| 630 | exception:numerical-overflow | |
| 631 | (quotient (+ fixnum-max 1) 0))) | |
| 632 | ||
| de142bea DH |
633 | ;; Are wrong type arguments detected correctly? |
| 634 | ||
| 635 | ) | |
| 636 | ||
| 637 | ;;; | |
| 638 | ;;; remainder | |
| 639 | ;;; | |
| 640 | ||
| 641 | (with-test-prefix "remainder" | |
| 2519490c | 642 | (pass-if (documented? remainder)) |
| de142bea | 643 | |
| de142bea DH |
644 | (with-test-prefix "0 / n" |
| 645 | ||
| 646 | (pass-if "n = 1" | |
| 647 | (eqv? 0 (remainder 0 1))) | |
| 648 | ||
| 649 | (pass-if "n = -1" | |
| 650 | (eqv? 0 (remainder 0 -1))) | |
| 651 | ||
| 21e39e8f DH |
652 | (pass-if "n = fixnum-max" |
| 653 | (eqv? 0 (remainder 0 fixnum-max))) | |
| 654 | ||
| 655 | (pass-if "n = fixnum-max + 1" | |
| 656 | (eqv? 0 (remainder 0 (+ fixnum-max 1)))) | |
| 657 | ||
| 658 | (pass-if "n = fixnum-min" | |
| 659 | (eqv? 0 (remainder 0 fixnum-min))) | |
| de142bea | 660 | |
| 21e39e8f DH |
661 | (pass-if "n = fixnum-min - 1" |
| 662 | (eqv? 0 (remainder 0 (- fixnum-min 1))))) | |
| de142bea | 663 | |
| 21e39e8f | 664 | (with-test-prefix "1 / n" |
| de142bea DH |
665 | |
| 666 | (pass-if "n = 1" | |
| 667 | (eqv? 0 (remainder 1 1))) | |
| 668 | ||
| 669 | (pass-if "n = -1" | |
| 21e39e8f DH |
670 | (eqv? 0 (remainder 1 -1))) |
| 671 | ||
| 672 | (pass-if "n = fixnum-max" | |
| 673 | (eqv? 1 (remainder 1 fixnum-max))) | |
| de142bea | 674 | |
| 21e39e8f DH |
675 | (pass-if "n = fixnum-max + 1" |
| 676 | (eqv? 1 (remainder 1 (+ fixnum-max 1)))) | |
| de142bea | 677 | |
| 21e39e8f DH |
678 | (pass-if "n = fixnum-min" |
| 679 | (eqv? 1 (remainder 1 fixnum-min))) | |
| de142bea | 680 | |
| 21e39e8f DH |
681 | (pass-if "n = fixnum-min - 1" |
| 682 | (eqv? 1 (remainder 1 (- fixnum-min 1))))) | |
| 683 | ||
| 684 | (with-test-prefix "-1 / n" | |
| de142bea DH |
685 | |
| 686 | (pass-if "n = 1" | |
| 21e39e8f | 687 | (eqv? 0 (remainder -1 1))) |
| de142bea DH |
688 | |
| 689 | (pass-if "n = -1" | |
| 690 | (eqv? 0 (remainder -1 -1))) | |
| 691 | ||
| 21e39e8f DH |
692 | (pass-if "n = fixnum-max" |
| 693 | (eqv? -1 (remainder -1 fixnum-max))) | |
| 694 | ||
| 695 | (pass-if "n = fixnum-max + 1" | |
| 696 | (eqv? -1 (remainder -1 (+ fixnum-max 1)))) | |
| 697 | ||
| 698 | (pass-if "n = fixnum-min" | |
| 699 | (eqv? -1 (remainder -1 fixnum-min))) | |
| 700 | ||
| 701 | (pass-if "n = fixnum-min - 1" | |
| 702 | (eqv? -1 (remainder -1 (- fixnum-min 1))))) | |
| 703 | ||
| 704 | (with-test-prefix "fixnum-max / n" | |
| 705 | ||
| 706 | (pass-if "n = 1" | |
| 707 | (eqv? 0 (remainder fixnum-max 1))) | |
| 708 | ||
| 709 | (pass-if "n = -1" | |
| 710 | (eqv? 0 (remainder fixnum-max -1))) | |
| 711 | ||
| 712 | (pass-if "n = fixnum-max" | |
| 713 | (eqv? 0 (remainder fixnum-max fixnum-max))) | |
| 714 | ||
| 715 | (pass-if "n = fixnum-max + 1" | |
| 716 | (eqv? fixnum-max (remainder fixnum-max (+ fixnum-max 1)))) | |
| 717 | ||
| 718 | (pass-if "n = fixnum-min" | |
| 719 | (eqv? fixnum-max (remainder fixnum-max fixnum-min))) | |
| 720 | ||
| 721 | (pass-if "n = fixnum-min - 1" | |
| 722 | (eqv? fixnum-max (remainder fixnum-max (- fixnum-min 1))))) | |
| 723 | ||
| 724 | (with-test-prefix "(fixnum-max + 1) / n" | |
| 725 | ||
| 726 | (pass-if "n = 1" | |
| 727 | (eqv? 0 (remainder (+ fixnum-max 1) 1))) | |
| 728 | ||
| 729 | (pass-if "n = -1" | |
| 730 | (eqv? 0 (remainder (+ fixnum-max 1) -1))) | |
| 731 | ||
| 732 | (pass-if "n = fixnum-max" | |
| 733 | (eqv? 1 (remainder (+ fixnum-max 1) fixnum-max))) | |
| 734 | ||
| 735 | (pass-if "n = fixnum-max + 1" | |
| 736 | (eqv? 0 (remainder (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| 737 | ||
| 738 | (pass-if "n = fixnum-min" | |
| 739 | (eqv? 0 (remainder (+ fixnum-max 1) fixnum-min))) | |
| 740 | ||
| 741 | (pass-if "n = fixnum-min - 1" | |
| 742 | (eqv? (+ fixnum-max 1) (remainder (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 743 | ||
| 744 | (with-test-prefix "fixnum-min / n" | |
| 745 | ||
| 746 | (pass-if "n = 1" | |
| 747 | (eqv? 0 (remainder fixnum-min 1))) | |
| 748 | ||
| 749 | (pass-if "n = -1" | |
| 750 | (eqv? 0 (remainder fixnum-min -1))) | |
| 751 | ||
| 752 | (pass-if "n = fixnum-max" | |
| 753 | (eqv? -1 (remainder fixnum-min fixnum-max))) | |
| 754 | ||
| 755 | (pass-if "n = fixnum-max + 1" | |
| 756 | (eqv? 0 (remainder fixnum-min (+ fixnum-max 1)))) | |
| 757 | ||
| 758 | (pass-if "n = fixnum-min" | |
| 759 | (eqv? 0 (remainder fixnum-min fixnum-min))) | |
| 760 | ||
| 761 | (pass-if "n = fixnum-min - 1" | |
| ad22fe7c KR |
762 | (eqv? fixnum-min (remainder fixnum-min (- fixnum-min 1)))) |
| 763 | ||
| 764 | (pass-if "n = - fixnum-min - 1" | |
| 765 | (eqv? -1 (remainder fixnum-min (1- (- fixnum-min))))) | |
| 766 | ||
| 767 | ;; special case, normally inum%big is the inum | |
| 768 | (pass-if "n = - fixnum-min" | |
| 769 | (eqv? 0 (remainder fixnum-min (- fixnum-min)))) | |
| 770 | ||
| 771 | (pass-if "n = - fixnum-min + 1" | |
| 772 | (eqv? fixnum-min (remainder fixnum-min (1+ (- fixnum-min)))))) | |
| 21e39e8f DH |
773 | |
| 774 | (with-test-prefix "(fixnum-min - 1) / n" | |
| 775 | ||
| 776 | (pass-if "n = 1" | |
| 777 | (eqv? 0 (remainder (- fixnum-min 1) 1))) | |
| 778 | ||
| 779 | (pass-if "n = -1" | |
| 780 | (eqv? 0 (remainder (- fixnum-min 1) -1))) | |
| 781 | ||
| 782 | (pass-if "n = fixnum-max" | |
| 783 | (eqv? -2 (remainder (- fixnum-min 1) fixnum-max))) | |
| 784 | ||
| 785 | (pass-if "n = fixnum-max + 1" | |
| 786 | (eqv? -1 (remainder (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 787 | ||
| 788 | (pass-if "n = fixnum-min" | |
| 789 | (eqv? -1 (remainder (- fixnum-min 1) fixnum-min))) | |
| 790 | ||
| 791 | (pass-if "n = fixnum-min - 1" | |
| 792 | (eqv? 0 (remainder (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea | 793 | |
| 495a39c4 MW |
794 | ;; Inexact integers |
| 795 | ||
| 796 | (pass-if (eqv? 2.0 (remainder 37.0 7.0))) | |
| 797 | (pass-if (eqv? 2.0 (remainder 37 7.0))) | |
| 798 | (pass-if (eqv? 2.0 (remainder 37.0 7 ))) | |
| 799 | ||
| de142bea DH |
800 | ;; Positive dividend and divisor |
| 801 | ||
| 802 | (pass-if "35 / 7" | |
| 803 | (eqv? 0 (remainder 35 7))) | |
| 804 | ||
| 805 | ;; Negative dividend, positive divisor | |
| 806 | ||
| 807 | (pass-if "-35 / 7" | |
| 808 | (eqv? 0 (remainder -35 7))) | |
| 809 | ||
| 810 | ;; Positive dividend, negative divisor | |
| 811 | ||
| 812 | (pass-if "35 / -7" | |
| 813 | (eqv? 0 (remainder 35 -7))) | |
| 814 | ||
| 815 | ;; Negative dividend and divisor | |
| 816 | ||
| 817 | (pass-if "-35 / -7" | |
| 818 | (eqv? 0 (remainder -35 -7))) | |
| 819 | ||
| 820 | ;; Are numerical overflows detected correctly? | |
| 821 | ||
| 80074d77 DH |
822 | (with-test-prefix "division by zero" |
| 823 | ||
| 824 | (pass-if-exception "(remainder 1 0)" | |
| 825 | exception:numerical-overflow | |
| 826 | (remainder 1 0)) | |
| 827 | ||
| 828 | (pass-if-exception "(remainder bignum 0)" | |
| 829 | exception:numerical-overflow | |
| 830 | (remainder (+ fixnum-max 1) 0))) | |
| 831 | ||
| de142bea DH |
832 | ;; Are wrong type arguments detected correctly? |
| 833 | ||
| 834 | ) | |
| 835 | ||
| 836 | ;;; | |
| 837 | ;;; modulo | |
| 838 | ;;; | |
| 839 | ||
| 840 | (with-test-prefix "modulo" | |
| 2519490c | 841 | (pass-if (documented? modulo)) |
| de142bea | 842 | |
| de142bea DH |
843 | (with-test-prefix "0 % n" |
| 844 | ||
| 845 | (pass-if "n = 1" | |
| 846 | (eqv? 0 (modulo 0 1))) | |
| 847 | ||
| 848 | (pass-if "n = -1" | |
| 849 | (eqv? 0 (modulo 0 -1))) | |
| 850 | ||
| 21e39e8f DH |
851 | (pass-if "n = fixnum-max" |
| 852 | (eqv? 0 (modulo 0 fixnum-max))) | |
| 853 | ||
| 854 | (pass-if "n = fixnum-max + 1" | |
| 855 | (eqv? 0 (modulo 0 (+ fixnum-max 1)))) | |
| de142bea | 856 | |
| 21e39e8f DH |
857 | (pass-if "n = fixnum-min" |
| 858 | (eqv? 0 (modulo 0 fixnum-min))) | |
| de142bea | 859 | |
| 21e39e8f DH |
860 | (pass-if "n = fixnum-min - 1" |
| 861 | (eqv? 0 (modulo 0 (- fixnum-min 1))))) | |
| 862 | ||
| 863 | (with-test-prefix "1 % n" | |
| de142bea DH |
864 | |
| 865 | (pass-if "n = 1" | |
| 866 | (eqv? 0 (modulo 1 1))) | |
| 867 | ||
| 868 | (pass-if "n = -1" | |
| 21e39e8f | 869 | (eqv? 0 (modulo 1 -1))) |
| de142bea | 870 | |
| 21e39e8f DH |
871 | (pass-if "n = fixnum-max" |
| 872 | (eqv? 1 (modulo 1 fixnum-max))) | |
| de142bea | 873 | |
| 21e39e8f DH |
874 | (pass-if "n = fixnum-max + 1" |
| 875 | (eqv? 1 (modulo 1 (+ fixnum-max 1)))) | |
| de142bea | 876 | |
| 21e39e8f DH |
877 | (pass-if "n = fixnum-min" |
| 878 | (eqv? (+ fixnum-min 1) (modulo 1 fixnum-min))) | |
| 879 | ||
| 880 | (pass-if "n = fixnum-min - 1" | |
| 881 | (eqv? fixnum-min (modulo 1 (- fixnum-min 1))))) | |
| 882 | ||
| 883 | (with-test-prefix "-1 % n" | |
| de142bea DH |
884 | |
| 885 | (pass-if "n = 1" | |
| 21e39e8f | 886 | (eqv? 0 (modulo -1 1))) |
| de142bea DH |
887 | |
| 888 | (pass-if "n = -1" | |
| 889 | (eqv? 0 (modulo -1 -1))) | |
| 890 | ||
| 21e39e8f DH |
891 | (pass-if "n = fixnum-max" |
| 892 | (eqv? (- fixnum-max 1) (modulo -1 fixnum-max))) | |
| 893 | ||
| 894 | (pass-if "n = fixnum-max + 1" | |
| 895 | (eqv? fixnum-max (modulo -1 (+ fixnum-max 1)))) | |
| 896 | ||
| 897 | (pass-if "n = fixnum-min" | |
| 898 | (eqv? -1 (modulo -1 fixnum-min))) | |
| 899 | ||
| 900 | (pass-if "n = fixnum-min - 1" | |
| 901 | (eqv? -1 (modulo -1 (- fixnum-min 1))))) | |
| 902 | ||
| 903 | (with-test-prefix "fixnum-max % n" | |
| 904 | ||
| 905 | (pass-if "n = 1" | |
| 906 | (eqv? 0 (modulo fixnum-max 1))) | |
| 907 | ||
| 908 | (pass-if "n = -1" | |
| 909 | (eqv? 0 (modulo fixnum-max -1))) | |
| 910 | ||
| 911 | (pass-if "n = fixnum-max" | |
| 912 | (eqv? 0 (modulo fixnum-max fixnum-max))) | |
| 913 | ||
| 914 | (pass-if "n = fixnum-max + 1" | |
| 915 | (eqv? fixnum-max (modulo fixnum-max (+ fixnum-max 1)))) | |
| 916 | ||
| 917 | (pass-if "n = fixnum-min" | |
| 918 | (eqv? -1 (modulo fixnum-max fixnum-min))) | |
| 919 | ||
| 920 | (pass-if "n = fixnum-min - 1" | |
| 921 | (eqv? -2 (modulo fixnum-max (- fixnum-min 1))))) | |
| 922 | ||
| 923 | (with-test-prefix "(fixnum-max + 1) % n" | |
| 924 | ||
| 925 | (pass-if "n = 1" | |
| 926 | (eqv? 0 (modulo (+ fixnum-max 1) 1))) | |
| 927 | ||
| 928 | (pass-if "n = -1" | |
| 929 | (eqv? 0 (modulo (+ fixnum-max 1) -1))) | |
| 930 | ||
| 931 | (pass-if "n = fixnum-max" | |
| 932 | (eqv? 1 (modulo (+ fixnum-max 1) fixnum-max))) | |
| 933 | ||
| 934 | (pass-if "n = fixnum-max + 1" | |
| 935 | (eqv? 0 (modulo (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| 936 | ||
| 937 | (pass-if "n = fixnum-min" | |
| 938 | (eqv? 0 (modulo (+ fixnum-max 1) fixnum-min))) | |
| 939 | ||
| 940 | (pass-if "n = fixnum-min - 1" | |
| 941 | (eqv? -1 (modulo (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 942 | ||
| 943 | (with-test-prefix "fixnum-min % n" | |
| 944 | ||
| 945 | (pass-if "n = 1" | |
| 946 | (eqv? 0 (modulo fixnum-min 1))) | |
| 947 | ||
| 948 | (pass-if "n = -1" | |
| 949 | (eqv? 0 (modulo fixnum-min -1))) | |
| 950 | ||
| 951 | (pass-if "n = fixnum-max" | |
| 952 | (eqv? (- fixnum-max 1) (modulo fixnum-min fixnum-max))) | |
| 953 | ||
| 954 | (pass-if "n = fixnum-max + 1" | |
| 955 | (eqv? 0 (modulo fixnum-min (+ fixnum-max 1)))) | |
| 956 | ||
| 957 | (pass-if "n = fixnum-min" | |
| 958 | (eqv? 0 (modulo fixnum-min fixnum-min))) | |
| 959 | ||
| 960 | (pass-if "n = fixnum-min - 1" | |
| 961 | (eqv? fixnum-min (modulo fixnum-min (- fixnum-min 1))))) | |
| 962 | ||
| 963 | (with-test-prefix "(fixnum-min - 1) % n" | |
| 964 | ||
| 965 | (pass-if "n = 1" | |
| 966 | (eqv? 0 (modulo (- fixnum-min 1) 1))) | |
| 967 | ||
| 968 | (pass-if "n = -1" | |
| 969 | (eqv? 0 (modulo (- fixnum-min 1) -1))) | |
| 970 | ||
| 971 | (pass-if "n = fixnum-max" | |
| 972 | (eqv? (- fixnum-max 2) (modulo (- fixnum-min 1) fixnum-max))) | |
| 973 | ||
| 974 | (pass-if "n = fixnum-max + 1" | |
| 975 | (eqv? fixnum-max (modulo (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 976 | ||
| 977 | (pass-if "n = fixnum-min" | |
| 978 | (eqv? -1 (modulo (- fixnum-min 1) fixnum-min))) | |
| 979 | ||
| 980 | (pass-if "n = fixnum-min - 1" | |
| 981 | (eqv? 0 (modulo (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea | 982 | |
| 495a39c4 MW |
983 | ;; Inexact integers |
| 984 | ||
| 985 | (pass-if (eqv? 1.0 (modulo 13.0 4.0))) | |
| 986 | (pass-if (eqv? 1.0 (modulo 13 4.0))) | |
| 987 | (pass-if (eqv? 1.0 (modulo 13.0 4 ))) | |
| 988 | ||
| de142bea DH |
989 | ;; Positive dividend and divisor |
| 990 | ||
| 991 | (pass-if "13 % 4" | |
| 992 | (eqv? 1 (modulo 13 4))) | |
| 993 | ||
| 994 | (pass-if "2177452800 % 86400" | |
| 995 | (eqv? 0 (modulo 2177452800 86400))) | |
| 996 | ||
| 997 | ;; Negative dividend, positive divisor | |
| 998 | ||
| 999 | (pass-if "-13 % 4" | |
| 1000 | (eqv? 3 (modulo -13 4))) | |
| 1001 | ||
| 1002 | (pass-if "-2177452800 % 86400" | |
| 1003 | (eqv? 0 (modulo -2177452800 86400))) | |
| 1004 | ||
| 1005 | ;; Positive dividend, negative divisor | |
| 1006 | ||
| 1007 | (pass-if "13 % -4" | |
| 1008 | (eqv? -3 (modulo 13 -4))) | |
| 1009 | ||
| 1010 | (pass-if "2177452800 % -86400" | |
| 1011 | (eqv? 0 (modulo 2177452800 -86400))) | |
| 1012 | ||
| 1013 | ;; Negative dividend and divisor | |
| 1014 | ||
| 1015 | (pass-if "-13 % -4" | |
| 1016 | (eqv? -1 (modulo -13 -4))) | |
| 1017 | ||
| 1018 | (pass-if "-2177452800 % -86400" | |
| 1019 | (eqv? 0 (modulo -2177452800 -86400))) | |
| 1020 | ||
| 1021 | ;; Are numerical overflows detected correctly? | |
| 1022 | ||
| 80074d77 DH |
1023 | (with-test-prefix "division by zero" |
| 1024 | ||
| 1025 | (pass-if-exception "(modulo 1 0)" | |
| 1026 | exception:numerical-overflow | |
| 1027 | (modulo 1 0)) | |
| 1028 | ||
| 1029 | (pass-if-exception "(modulo bignum 0)" | |
| 1030 | exception:numerical-overflow | |
| 1031 | (modulo (+ fixnum-max 1) 0))) | |
| 1032 | ||
| de142bea DH |
1033 | ;; Are wrong type arguments detected correctly? |
| 1034 | ||
| 1035 | ) | |
| 1036 | ||
| 24360e11 KR |
1037 | ;;; |
| 1038 | ;;; modulo-expt | |
| 1039 | ;;; | |
| 1040 | ||
| 1041 | (with-test-prefix "modulo-expt" | |
| 1042 | (pass-if (= 1 (modulo-expt 17 23 47))) | |
| 1043 | ||
| 1044 | (pass-if (= 1 (modulo-expt 17 -23 47))) | |
| 1045 | ||
| 1046 | (pass-if (= 17 (modulo-expt 17 -22 47))) | |
| 1047 | ||
| 1048 | (pass-if (= 36 (modulo-expt 17 22 47))) | |
| 1049 | ||
| 1050 | (pass-if (= 183658794479969134816674175082294846241553725240 (modulo-expt 111122223333444455556666 111122223333444455556666 1153478690012629968439432872520758982731022934717))) | |
| 1051 | ||
| 1052 | (pass-if-exception | |
| 1053 | "Proper exception with 0 modulus" | |
| 18ee5de9 | 1054 | exception:numerical-overflow |
| 24360e11 KR |
1055 | (modulo-expt 17 23 0)) |
| 1056 | ||
| 1057 | (pass-if-exception | |
| 1058 | "Proper exception when result not invertible" | |
| 18ee5de9 | 1059 | exception:numerical-overflow |
| 24360e11 KR |
1060 | (modulo-expt 10 -1 48)) |
| 1061 | ||
| 1062 | (pass-if-exception | |
| 1063 | "Proper exception with wrong type argument" | |
| 18ee5de9 | 1064 | exception:wrong-type-arg |
| 24360e11 KR |
1065 | (modulo-expt "Sam" 23 10)) |
| 1066 | ||
| 1067 | (pass-if-exception | |
| 1068 | "Proper exception with wrong type argument" | |
| 18ee5de9 | 1069 | exception:wrong-type-arg |
| 24360e11 KR |
1070 | (modulo-expt 17 9.9 10)) |
| 1071 | ||
| 1072 | (pass-if-exception | |
| 1073 | "Proper exception with wrong type argument" | |
| 18ee5de9 | 1074 | exception:wrong-type-arg |
| 24360e11 KR |
1075 | (modulo-expt 17 23 'Ethel))) |
| 1076 | ||
| ba46895c KR |
1077 | ;;; |
| 1078 | ;;; numerator | |
| 1079 | ;;; | |
| 1080 | ||
| 1081 | (with-test-prefix "numerator" | |
| 1082 | (pass-if "0" | |
| 1083 | (eqv? 0 (numerator 0))) | |
| 1084 | (pass-if "1" | |
| 1085 | (eqv? 1 (numerator 1))) | |
| 1086 | (pass-if "2" | |
| 1087 | (eqv? 2 (numerator 2))) | |
| 1088 | (pass-if "-1" | |
| 1089 | (eqv? -1 (numerator -1))) | |
| 1090 | (pass-if "-2" | |
| 1091 | (eqv? -2 (numerator -2))) | |
| 1092 | ||
| 1093 | (pass-if "0.0" | |
| 1094 | (eqv? 0.0 (numerator 0.0))) | |
| 1095 | (pass-if "1.0" | |
| 1096 | (eqv? 1.0 (numerator 1.0))) | |
| 1097 | (pass-if "2.0" | |
| 1098 | (eqv? 2.0 (numerator 2.0))) | |
| 1099 | (pass-if "-1.0" | |
| 1100 | (eqv? -1.0 (numerator -1.0))) | |
| 1101 | (pass-if "-2.0" | |
| 1102 | (eqv? -2.0 (numerator -2.0))) | |
| 1103 | ||
| 1104 | (pass-if "0.5" | |
| 1105 | (eqv? 1.0 (numerator 0.5))) | |
| 1106 | (pass-if "0.25" | |
| 1107 | (eqv? 1.0 (numerator 0.25))) | |
| 1108 | (pass-if "0.75" | |
| 1109 | (eqv? 3.0 (numerator 0.75)))) | |
| 1110 | ||
| 1111 | ;;; | |
| 1112 | ;;; denominator | |
| 1113 | ;;; | |
| 1114 | ||
| 1115 | (with-test-prefix "denominator" | |
| 1116 | (pass-if "0" | |
| 1117 | (eqv? 1 (denominator 0))) | |
| 1118 | (pass-if "1" | |
| 1119 | (eqv? 1 (denominator 1))) | |
| 1120 | (pass-if "2" | |
| 1121 | (eqv? 1 (denominator 2))) | |
| 1122 | (pass-if "-1" | |
| 1123 | (eqv? 1 (denominator -1))) | |
| 1124 | (pass-if "-2" | |
| 1125 | (eqv? 1 (denominator -2))) | |
| 1126 | ||
| 1127 | (pass-if "0.0" | |
| 1128 | (eqv? 1.0 (denominator 0.0))) | |
| 1129 | (pass-if "1.0" | |
| 1130 | (eqv? 1.0 (denominator 1.0))) | |
| 1131 | (pass-if "2.0" | |
| 1132 | (eqv? 1.0 (denominator 2.0))) | |
| 1133 | (pass-if "-1.0" | |
| 1134 | (eqv? 1.0 (denominator -1.0))) | |
| 1135 | (pass-if "-2.0" | |
| 1136 | (eqv? 1.0 (denominator -2.0))) | |
| 1137 | ||
| 1138 | (pass-if "0.5" | |
| 1139 | (eqv? 2.0 (denominator 0.5))) | |
| 1140 | (pass-if "0.25" | |
| 1141 | (eqv? 4.0 (denominator 0.25))) | |
| 1142 | (pass-if "0.75" | |
| 1143 | (eqv? 4.0 (denominator 0.75)))) | |
| 1144 | ||
| de142bea DH |
1145 | ;;; |
| 1146 | ;;; gcd | |
| 1147 | ;;; | |
| 1148 | ||
| 1149 | (with-test-prefix "gcd" | |
| 1150 | ||
| d389e966 | 1151 | (pass-if "documented?" |
| cb18f2a8 | 1152 | (documented? gcd)) |
| de142bea | 1153 | |
| 1dd79792 NJ |
1154 | (with-test-prefix "(n)" |
| 1155 | ||
| 1156 | (pass-if "n = -2" | |
| 1157 | (eqv? 2 (gcd -2)))) | |
| 1158 | ||
| de142bea DH |
1159 | (with-test-prefix "(0 n)" |
| 1160 | ||
| 21e39e8f DH |
1161 | (pass-if "n = 0" |
| 1162 | (eqv? 0 (gcd 0 0))) | |
| 1163 | ||
| de142bea DH |
1164 | (pass-if "n = 1" |
| 1165 | (eqv? 1 (gcd 0 1))) | |
| 1166 | ||
| 1167 | (pass-if "n = -1" | |
| 1168 | (eqv? 1 (gcd 0 -1))) | |
| 1169 | ||
| 21e39e8f DH |
1170 | (pass-if "n = fixnum-max" |
| 1171 | (eqv? fixnum-max (gcd 0 fixnum-max))) | |
| de142bea | 1172 | |
| 21e39e8f DH |
1173 | (pass-if "n = fixnum-max + 1" |
| 1174 | (eqv? (+ fixnum-max 1) (gcd 0 (+ fixnum-max 1)))) | |
| de142bea | 1175 | |
| 21e39e8f DH |
1176 | (pass-if "n = fixnum-min" |
| 1177 | (eqv? (- fixnum-min) (gcd 0 fixnum-min))) | |
| de142bea | 1178 | |
| 21e39e8f DH |
1179 | (pass-if "n = fixnum-min - 1" |
| 1180 | (eqv? (- (- fixnum-min 1)) (gcd 0 (- fixnum-min 1))))) | |
| 1181 | ||
| db386f80 KR |
1182 | (with-test-prefix "(n 0)" |
| 1183 | ||
| 1184 | (pass-if "n = 2^128 * fixnum-max" | |
| 1185 | (eqv? (ash fixnum-max 128) (gcd (ash fixnum-max 128) 0)))) | |
| 1186 | ||
| 21e39e8f DH |
1187 | (with-test-prefix "(1 n)" |
| 1188 | ||
| 1189 | (pass-if "n = 0" | |
| de142bea DH |
1190 | (eqv? 1 (gcd 1 0))) |
| 1191 | ||
| 21e39e8f DH |
1192 | (pass-if "n = 1" |
| 1193 | (eqv? 1 (gcd 1 1))) | |
| 1194 | ||
| de142bea | 1195 | (pass-if "n = -1" |
| 21e39e8f DH |
1196 | (eqv? 1 (gcd 1 -1))) |
| 1197 | ||
| 1198 | (pass-if "n = fixnum-max" | |
| 1199 | (eqv? 1 (gcd 1 fixnum-max))) | |
| 1200 | ||
| 1201 | (pass-if "n = fixnum-max + 1" | |
| 1202 | (eqv? 1 (gcd 1 (+ fixnum-max 1)))) | |
| 1203 | ||
| 1204 | (pass-if "n = fixnum-min" | |
| 1205 | (eqv? 1 (gcd 1 fixnum-min))) | |
| 1206 | ||
| 1207 | (pass-if "n = fixnum-min - 1" | |
| 1208 | (eqv? 1 (gcd 1 (- fixnum-min 1))))) | |
| 1209 | ||
| 1210 | (with-test-prefix "(-1 n)" | |
| 1211 | ||
| 1212 | (pass-if "n = 0" | |
| de142bea DH |
1213 | (eqv? 1 (gcd -1 0))) |
| 1214 | ||
| 21e39e8f DH |
1215 | (pass-if "n = 1" |
| 1216 | (eqv? 1 (gcd -1 1))) | |
| de142bea | 1217 | |
| 21e39e8f DH |
1218 | (pass-if "n = -1" |
| 1219 | (eqv? 1 (gcd -1 -1))) | |
| de142bea | 1220 | |
| 21e39e8f DH |
1221 | (pass-if "n = fixnum-max" |
| 1222 | (eqv? 1 (gcd -1 fixnum-max))) | |
| 1223 | ||
| 1224 | (pass-if "n = fixnum-max + 1" | |
| 1225 | (eqv? 1 (gcd -1 (+ fixnum-max 1)))) | |
| 1226 | ||
| 1227 | (pass-if "n = fixnum-min" | |
| 1228 | (eqv? 1 (gcd -1 fixnum-min))) | |
| 1229 | ||
| 1230 | (pass-if "n = fixnum-min - 1" | |
| 1231 | (eqv? 1 (gcd -1 (- fixnum-min 1))))) | |
| 1232 | ||
| 1233 | (with-test-prefix "(fixnum-max n)" | |
| 1234 | ||
| 1235 | (pass-if "n = 0" | |
| 1236 | (eqv? fixnum-max (gcd fixnum-max 0))) | |
| de142bea DH |
1237 | |
| 1238 | (pass-if "n = 1" | |
| 21e39e8f | 1239 | (eqv? 1 (gcd fixnum-max 1))) |
| de142bea DH |
1240 | |
| 1241 | (pass-if "n = -1" | |
| 21e39e8f DH |
1242 | (eqv? 1 (gcd fixnum-max -1))) |
| 1243 | ||
| 1244 | (pass-if "n = fixnum-max" | |
| 1245 | (eqv? fixnum-max (gcd fixnum-max fixnum-max))) | |
| de142bea | 1246 | |
| 21e39e8f DH |
1247 | (pass-if "n = fixnum-max + 1" |
| 1248 | (eqv? 1 (gcd fixnum-max (+ fixnum-max 1)))) | |
| de142bea | 1249 | |
| 21e39e8f DH |
1250 | (pass-if "n = fixnum-min" |
| 1251 | (eqv? 1 (gcd fixnum-max fixnum-min))) | |
| de142bea | 1252 | |
| 21e39e8f DH |
1253 | (pass-if "n = fixnum-min - 1" |
| 1254 | (eqv? 1 (gcd fixnum-max (- fixnum-min 1))))) | |
| 1255 | ||
| 1256 | (with-test-prefix "((+ fixnum-max 1) n)" | |
| 1257 | ||
| 1258 | (pass-if "n = 0" | |
| 1259 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) 0))) | |
| 1260 | ||
| 1261 | (pass-if "n = 1" | |
| 1262 | (eqv? 1 (gcd (+ fixnum-max 1) 1))) | |
| de142bea DH |
1263 | |
| 1264 | (pass-if "n = -1" | |
| 21e39e8f | 1265 | (eqv? 1 (gcd (+ fixnum-max 1) -1))) |
| de142bea | 1266 | |
| 21e39e8f DH |
1267 | (pass-if "n = fixnum-max" |
| 1268 | (eqv? 1 (gcd (+ fixnum-max 1) fixnum-max))) | |
| de142bea | 1269 | |
| 21e39e8f DH |
1270 | (pass-if "n = fixnum-max + 1" |
| 1271 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| de142bea | 1272 | |
| 21e39e8f DH |
1273 | (pass-if "n = fixnum-min" |
| 1274 | (eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) fixnum-min))) | |
| 1275 | ||
| 1276 | (pass-if "n = fixnum-min - 1" | |
| 1277 | (eqv? 1 (gcd (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 1278 | ||
| 1279 | (with-test-prefix "(fixnum-min n)" | |
| 1280 | ||
| 1281 | (pass-if "n = 0" | |
| 1282 | (eqv? (- fixnum-min) (gcd fixnum-min 0))) | |
| 1283 | ||
| 1284 | (pass-if "n = 1" | |
| 1285 | (eqv? 1 (gcd fixnum-min 1))) | |
| de142bea DH |
1286 | |
| 1287 | (pass-if "n = -1" | |
| 21e39e8f DH |
1288 | (eqv? 1 (gcd fixnum-min -1))) |
| 1289 | ||
| 1290 | (pass-if "n = fixnum-max" | |
| 1291 | (eqv? 1 (gcd fixnum-min fixnum-max))) | |
| 1292 | ||
| 1293 | (pass-if "n = fixnum-max + 1" | |
| 1294 | (eqv? (+ fixnum-max 1) (gcd fixnum-min (+ fixnum-max 1)))) | |
| de142bea | 1295 | |
| 21e39e8f DH |
1296 | (pass-if "n = fixnum-min" |
| 1297 | (eqv? (- fixnum-min) (gcd fixnum-min fixnum-min))) | |
| 1298 | ||
| 1299 | (pass-if "n = fixnum-min - 1" | |
| 1300 | (eqv? 1 (gcd fixnum-min (- fixnum-min 1))))) | |
| 1301 | ||
| 1302 | (with-test-prefix "((- fixnum-min 1) n)" | |
| 1303 | ||
| 1304 | (pass-if "n = 0" | |
| 1305 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) 0))) | |
| 1306 | ||
| 1307 | (pass-if "n = 1" | |
| 1308 | (eqv? 1 (gcd (- fixnum-min 1) 1))) | |
| 1309 | ||
| 1310 | (pass-if "n = -1" | |
| 1311 | (eqv? 1 (gcd (- fixnum-min 1) -1))) | |
| 1312 | ||
| 1313 | (pass-if "n = fixnum-max" | |
| 1314 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-max))) | |
| 1315 | ||
| 1316 | (pass-if "n = fixnum-max + 1" | |
| 1317 | (eqv? 1 (gcd (- fixnum-min 1) (+ fixnum-max 1)))) | |
| 1318 | ||
| 1319 | (pass-if "n = fixnum-min" | |
| 1320 | (eqv? 1 (gcd (- fixnum-min 1) fixnum-min))) | |
| 1321 | ||
| 1322 | (pass-if "n = fixnum-min - 1" | |
| 1323 | (eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) (- fixnum-min 1))))) | |
| de142bea | 1324 | |
| 3bbca1f7 MW |
1325 | (with-test-prefix "flonum arguments" |
| 1326 | ||
| 1327 | (pass-if-equal "flonum" | |
| 1328 | 15.0 | |
| 1329 | (gcd -15.0)) | |
| 1330 | ||
| 1331 | (pass-if-equal "flonum/flonum" | |
| 1332 | 3.0 | |
| 1333 | (gcd 6.0 -15.0)) | |
| 1334 | ||
| 1335 | (pass-if-equal "flonum/fixnum" | |
| 1336 | 3.0 | |
| 1337 | (gcd 6.0 -15)) | |
| 1338 | ||
| 1339 | (pass-if-equal "fixnum/flonum" | |
| 1340 | 3.0 | |
| 1341 | (gcd -6 15.0)) | |
| 1342 | ||
| 1343 | (pass-if-equal "flonum/bignum" | |
| 1344 | 2.0 | |
| 1345 | (gcd -6.0 (expt 2 fixnum-bit))) | |
| 1346 | ||
| 1347 | (pass-if-equal "bignum/flonum" | |
| 1348 | 3.0 | |
| 1349 | (gcd (- (expt 3 fixnum-bit)) 6.0))) | |
| 1350 | ||
| de142bea DH |
1351 | ;; Are wrong type arguments detected correctly? |
| 1352 | ||
| 1353 | ) | |
| 1354 | ||
| f29b3454 DH |
1355 | ;;; |
| 1356 | ;;; lcm | |
| 1357 | ;;; | |
| 1358 | ||
| 7c24e528 RB |
1359 | (with-test-prefix "lcm" |
| 1360 | ;; FIXME: more tests? | |
| 1361 | ;; (some of these are already in r4rs.test) | |
| d389e966 | 1362 | (pass-if (documented? lcm)) |
| 3bbca1f7 MW |
1363 | (pass-if-equal 1 (lcm)) |
| 1364 | (pass-if-equal 15 (lcm -15)) | |
| 1365 | (pass-if-equal 288 (lcm 32 -36)) | |
| 1366 | ||
| 1367 | (with-test-prefix "flonum arguments" | |
| 1368 | ||
| 1369 | (pass-if-equal "flonum" | |
| 1370 | 15.0 | |
| 1371 | (lcm -15.0)) | |
| 1372 | ||
| 1373 | (pass-if-equal "flonum/flonum" | |
| 1374 | 30.0 | |
| 1375 | (lcm 6.0 -15.0)) | |
| 1376 | ||
| 1377 | (pass-if-equal "flonum/fixnum" | |
| 1378 | 30.0 | |
| 1379 | (lcm 6.0 -15)) | |
| 1380 | ||
| 1381 | (pass-if-equal "fixnum/flonum" | |
| 1382 | 30.0 | |
| 1383 | (lcm -6 15.0)) | |
| 1384 | ||
| 1385 | (pass-if "flonum/bignum" | |
| 1386 | (let ((want (* 3.0 (expt 2 fixnum-bit))) | |
| 1387 | (got (lcm -6.0 (expt 2 fixnum-bit)))) | |
| 1388 | (and (inexact? got) | |
| 1389 | (test-eqv? 1.0 (/ want got))))) | |
| 1390 | ||
| 1391 | (pass-if "bignum/flonum" | |
| 1392 | (let ((want (* 2.0 (expt 3 fixnum-bit))) | |
| 1393 | (got (lcm (- (expt 3 fixnum-bit)) 6.0))) | |
| 1394 | (and (inexact? got) | |
| 1395 | (test-eqv? 1.0 (/ want got)))))) | |
| 1396 | ||
| 7c24e528 RB |
1397 | (let ((big-n 115792089237316195423570985008687907853269984665640564039457584007913129639936) ; 2 ^ 256 |
| 1398 | (lcm-of-big-n-and-11 1273712981610478149659280835095566986385969831322046204434033424087044426039296)) | |
| 1399 | (pass-if (= lcm-of-big-n-and-11 (lcm big-n 11))) | |
| 1400 | (pass-if (= lcm-of-big-n-and-11 (lcm 11 big-n 11))))) | |
| 1401 | ||
| 605f6980 MW |
1402 | ;;; |
| 1403 | ;;; rationalize | |
| 1404 | ;;; | |
| 1405 | (with-test-prefix "rationalize" | |
| 1406 | (pass-if (documented? rationalize)) | |
| 1407 | (pass-if (eqv? 2 (rationalize 4 2 ))) | |
| 1408 | (pass-if (eqv? -2 (rationalize -4 2 ))) | |
| 1409 | (pass-if (eqv? 2.0 (rationalize 4 2.0))) | |
| 1410 | (pass-if (eqv? -2.0 (rationalize -4.0 2 ))) | |
| 1411 | ||
| 1412 | (pass-if (eqv? 0 (rationalize 4 8 ))) | |
| 1413 | (pass-if (eqv? 0 (rationalize -4 8 ))) | |
| 1414 | (pass-if (eqv? 0.0 (rationalize 4 8.0))) | |
| 1415 | (pass-if (eqv? 0.0 (rationalize -4.0 8 ))) | |
| 1416 | ||
| 1417 | (pass-if (eqv? 0.0 (rationalize 3 +inf.0))) | |
| 1418 | (pass-if (eqv? 0.0 (rationalize -3 +inf.0))) | |
| 1419 | ||
| 55a8b708 MW |
1420 | (pass-if (real-nan? (rationalize +inf.0 +inf.0))) |
| 1421 | (pass-if (real-nan? (rationalize +nan.0 +inf.0))) | |
| 1422 | (pass-if (real-nan? (rationalize +nan.0 4))) | |
| 605f6980 MW |
1423 | (pass-if (eqv? +inf.0 (rationalize +inf.0 3))) |
| 1424 | ||
| 1425 | (pass-if (eqv? 3/10 (rationalize 3/10 0))) | |
| 1426 | (pass-if (eqv? -3/10 (rationalize -3/10 0))) | |
| 1427 | ||
| 1428 | (pass-if (eqv? 1/3 (rationalize 3/10 1/10))) | |
| 1429 | (pass-if (eqv? -1/3 (rationalize -3/10 1/10))) | |
| 1430 | ||
| 1431 | (pass-if (eqv? 1/3 (rationalize 3/10 -1/10))) | |
| 1432 | (pass-if (eqv? -1/3 (rationalize -3/10 -1/10))) | |
| 1433 | ||
| 1434 | (pass-if (test-eqv? (/ 1.0 3) (rationalize 0.3 1/10))) | |
| 1435 | (pass-if (test-eqv? (/ -1.0 3) (rationalize -0.3 1/10))) | |
| 1436 | (pass-if (test-eqv? (/ 1.0 3) (rationalize 0.3 -1/10))) | |
| 1437 | (pass-if (test-eqv? (/ -1.0 3) (rationalize -0.3 -1/10)))) | |
| 1438 | ||
| f29b3454 DH |
1439 | ;;; |
| 1440 | ;;; number->string | |
| 1441 | ;;; | |
| 1442 | ||
| 7c24e528 RB |
1443 | (with-test-prefix "number->string" |
| 1444 | (let ((num->str->num | |
| 1445 | (lambda (n radix) | |
| 1446 | (string->number (number->string n radix) radix)))) | |
| 1447 | ||
| 1ea37620 MW |
1448 | (define (test num) |
| 1449 | (pass-if-equal (list num 'pos) | |
| 1450 | num | |
| 1451 | (num->str->num num 10)) | |
| 1452 | (pass-if-equal (list num 'neg) | |
| 1453 | (- num) | |
| 1454 | (num->str->num (- num) 10))) | |
| 1455 | ||
| 7c24e528 RB |
1456 | (pass-if (documented? number->string)) |
| 1457 | (pass-if (string=? (number->string 0) "0")) | |
| 1458 | (pass-if (string=? (number->string 171) "171")) | |
| 1459 | (pass-if (= (+ fixnum-max 1) (num->str->num (+ fixnum-max 1) 10))) | |
| 1460 | (pass-if (= (- fixnum-min 1) (num->str->num (- fixnum-min 1) 10))) | |
| d39a7b58 | 1461 | |
| 1ea37620 MW |
1462 | (test (inf)) |
| 1463 | (test 1.3) | |
| 1464 | (test (acos -1)) ; pi | |
| 1465 | (test (exp 1)) ; e | |
| 1466 | (test (/ 3.0)) | |
| 1467 | (test (/ 7.0)) | |
| 1468 | (test 2.2250738585072011e-308) | |
| 1469 | (test 2.2250738585072012e-308) | |
| 1470 | ||
| 1471 | ;; Largest finite inexact | |
| 1472 | (test (* (- (expt 2.0 dbl-mant-dig) 1) | |
| 1473 | (expt 2.0 (- dbl-max-exp dbl-mant-dig)))) | |
| 1474 | ||
| 1475 | (pass-if (string=? "0.0" (number->string 0.0))) | |
| 1476 | (pass-if (or (eqv? 0.0 -0.0) | |
| 1477 | (string=? "-0.0" (number->string -0.0)))) | |
| eb73f94b | 1478 | |
| 3740c788 | 1479 | (pass-if (string=? (number->string 35.25 36) "z.9")) |
| 1ea37620 | 1480 | (pass-if (string=? (number->string 0.25 2) "0.01")) |
| 3740c788 | 1481 | (pass-if (string=? (number->string 255.0625 16) "ff.1")) |
| d39a7b58 | 1482 | (pass-if (string=? (number->string (/ 1 3) 3) "1/10")) |
| 23f2b9a3 | 1483 | |
| a6f3af16 | 1484 | (pass-if (string=? (number->string 10) "10")) |
| 3740c788 | 1485 | (pass-if (string=? (number->string 10 11) "a")) |
| a6f3af16 AW |
1486 | (pass-if (string=? (number->string 36 36) "10")) |
| 1487 | (pass-if (= (num->str->num 36 36) 36)) | |
| 1488 | (pass-if (= (string->number "z" 36) 35)) | |
| 1489 | (pass-if (= (string->number "Z" 36) 35)) | |
| 1490 | (pass-if (not (string->number "Z" 35))) | |
| 3740c788 | 1491 | (pass-if (string=? (number->string 35 36) "z")) |
| a6f3af16 AW |
1492 | (pass-if (= (num->str->num 35 36) 35)) |
| 1493 | ||
| 8150dfa1 MW |
1494 | (pass-if (string=? (number->string 12342342340000.0) "1.234234234e13")) |
| 1495 | (pass-if (string=? (number->string 1234234234000.0) "1234234234000.0")) | |
| 1496 | (pass-if (string=? (number->string 1240000.0) "1240000.0")) | |
| 1497 | ||
| 1ea37620 MW |
1498 | (with-test-prefix "powers of radix" |
| 1499 | (for-each | |
| 1500 | (lambda (radix) | |
| 1501 | (for-each (lambda (k) | |
| 1502 | (let ((val (exact->inexact (expt radix k))) | |
| 1503 | (str (if (<= -3 k 6) | |
| 1504 | (assoc-ref '((-3 . "0.001") | |
| 1505 | (-2 . "0.01") | |
| 1506 | (-1 . "0.1") | |
| 1507 | ( 0 . "1.0") | |
| 1508 | ( 1 . "10.0") | |
| 1509 | ( 2 . "100.0") | |
| 1510 | ( 3 . "1000.0") | |
| 1511 | ( 4 . "10000.0") | |
| 1512 | ( 5 . "100000.0") | |
| 1513 | ( 6 . "1000000.0")) | |
| 1514 | k) | |
| 1515 | (string-append "1.0e" | |
| 1516 | (number->string k radix))))) | |
| 1517 | (pass-if-equal (list radix k 'pos) | |
| 1518 | str | |
| 1519 | (number->string val radix)) | |
| 1520 | (pass-if-equal (list radix k 'neg) | |
| 1521 | (string-append "-" str) | |
| 1522 | (number->string (- val) radix)))) | |
| 1523 | (iota 41 -20))) | |
| 1524 | (iota 35 2))) | |
| 1525 | ||
| 1526 | (with-test-prefix "multiples of smallest inexact" | |
| 1527 | (for-each (lambda (k) | |
| 1528 | (let ((val (* k (expt 2.0 (- dbl-min-exp dbl-mant-dig))))) | |
| 1529 | (test val))) | |
| 1530 | (iota 40 1))) | |
| 1531 | ||
| 1532 | (with-test-prefix "one plus multiples of epsilon" | |
| 1533 | (for-each (lambda (k) | |
| 1534 | (let ((val (+ 1.0 (* k dbl-epsilon)))) | |
| 1535 | (test val))) | |
| 1536 | (iota 40 1))) | |
| 1537 | ||
| 1538 | (with-test-prefix "one minus multiples of 1/2 epsilon" | |
| 1539 | (for-each (lambda (k) | |
| 1540 | (let ((val (- 1.0 (* k 1/2 dbl-epsilon)))) | |
| 1541 | (test val))) | |
| 1542 | (iota 40 1))) | |
| 1543 | ||
| 6ebecdeb MW |
1544 | ;; Before Guile 2.0.1, even in the presence of a #e forced exactness |
| 1545 | ;; specifier, negative exponents were applied inexactly and then | |
| 1546 | ;; later coerced to exact, yielding an incorrect fraction. | |
| 1547 | (pass-if (eqv? (string->number "#e1e-10") 1/10000000000)) | |
| 1548 | ||
| 1ea37620 MW |
1549 | (pass-if (string=? (number->string 11.33333333333333333 12) |
| 1550 | "b.4")) | |
| 1551 | (pass-if (string=? (number->string 1.324e44 16) | |
| 1552 | "5.efe0a14fafdf8e24")))) | |
| 7c24e528 | 1553 | |
| f29b3454 DH |
1554 | ;;; |
| 1555 | ;;; string->number | |
| 1556 | ;;; | |
| 1557 | ||
| 2f4a254a DH |
1558 | (with-test-prefix "string->number" |
| 1559 | ||
| ff758237 | 1560 | (pass-if "documented?" |
| 2f4a254a DH |
1561 | (documented? string->number)) |
| 1562 | ||
| 1563 | (pass-if "non number strings" | |
| 1564 | (for-each (lambda (x) (if (string->number x) (throw 'fail))) | |
| 569c483b | 1565 | '("" "q" "1q" "6+7iq" "8+9q" "10+11" "13+" "18@19q" "20@q" "23@" |
| 2f4a254a | 1566 | "+25iq" "26i" "-q" "-iq" "i" "5#.0" "8/" "10#11" ".#" "." |
| 569c483b | 1567 | "#o.2" "3.4q" "15.16e17q" "18.19e+q" ".q" ".17#18" "10q" "#b2" |
| 2f4a254a DH |
1568 | "#b3" "#b4" "#b5" "#b6" "#b7" "#b8" "#b9" "#ba" "#bb" "#bc" |
| 1569 | "#bd" "#be" "#bf" "#q" "#b#b1" "#o#o1" "#d#d1" "#x#x1" "#e#e1" | |
| 929d11b2 MW |
1570 | "#i#i1" "12@12+0i" "3/0" "0/0" "4+3/0i" "4/0-3i" "2+0/0i" |
| 1571 | "nan.0" "inf.0" "#e+nan.0" "#e+inf.0" "#e-inf.0" | |
| 1572 | "3@inf.0" "4@nan.0")) | |
| 2f4a254a DH |
1573 | #t) |
| 1574 | ||
| b7d9b1cf DH |
1575 | (pass-if "valid number strings" |
| 1576 | (for-each (lambda (couple) | |
| 1577 | (apply | |
| 1578 | (lambda (x y) | |
| 9dd9857f MV |
1579 | (let ((xx (string->number x))) |
| 1580 | (if (or (eq? xx #f) (not (eqv? xx y))) | |
| ca2b31fe MV |
1581 | (begin |
| 1582 | (pk x y) | |
| 1583 | (throw 'fail))))) | |
| b7d9b1cf DH |
1584 | couple)) |
| 1585 | `(;; Radix: | |
| 1586 | ("#b0" 0) ("#B0" 0) ("#b1" 1) ("#B1" 1) ("#o0" 0) ("#O0" 0) | |
| 1587 | ("#o1" 1) ("#O1" 1) ("#o2" 2) ("#O2" 2) ("#o3" 3) ("#O3" 3) | |
| 1588 | ("#o4" 4) ("#O4" 4) ("#o5" 5) ("#O5" 5) ("#o6" 6) ("#O6" 6) | |
| 1589 | ("#o7" 7) ("#O7" 7) ("#d0" 0) ("#D0" 0) ("#d1" 1) ("#D1" 1) | |
| 1590 | ("#d2" 2) ("#D2" 2) ("#d3" 3) ("#D3" 3) ("#d4" 4) ("#D4" 4) | |
| 1591 | ("#d5" 5) ("#D5" 5) ("#d6" 6) ("#D6" 6) ("#d7" 7) ("#D7" 7) | |
| 1592 | ("#d8" 8) ("#D8" 8) ("#d9" 9) ("#D9" 9) | |
| 1593 | ("#xa" 10) ("#Xa" 10) ("#xb" 11) ("#Xb" 11) | |
| 1594 | ("#xc" 12) ("#Xc" 12) ("#xd" 13) ("#Xd" 13) | |
| 1595 | ("#xe" 14) ("#Xe" 14) ("#xf" 15) ("#Xf" 15) | |
| 1596 | ("#b1010" 10) | |
| 1597 | ("#o12345670" 2739128) | |
| 1598 | ("#d1234567890" 1234567890) | |
| 1599 | ("#x1234567890abcdef" 1311768467294899695) | |
| 1600 | ;; Exactness: | |
| ca2b31fe | 1601 | ("#e1" 1) ("#e1.2" 12/10) |
| 9dd9857f | 1602 | ("#i1.1" 1.1) ("#i1" 1.0) |
| b7d9b1cf DH |
1603 | ;; Integers: |
| 1604 | ("1" ,(1+ 0)) ("23" ,(+ 9 9 5)) ("-1" ,(- 0 1)) | |
| 1605 | ("-45" ,(- 0 45)) ("2#" 20.0) ("2##" 200.0) ("12##" 1200.0) | |
| 1606 | ("#b#i100" 4.0) | |
| 9dd9857f MV |
1607 | ;; Fractions: |
| 1608 | ("1/1" 1) ("1/2" 1/2) ("-1/2" -1/2) ("1#/1" 10.0) | |
| 1609 | ("10/1#" 1.0) ("1#/1#" 1.0) ("#e9/10" 9/10) ("#e10/1#" 1) | |
| b7d9b1cf | 1610 | ("#i6/8" 0.75) ("#i1/1" 1.0) |
| 929d11b2 MW |
1611 | ;; Infinities and NaNs: |
| 1612 | ("+inf.0" ,(inf)) ("-inf.0" ,(- (inf))) | |
| 1613 | ("+Inf.0" ,(inf)) ("-Inf.0" ,(- (inf))) | |
| 1614 | ("+InF.0" ,(inf)) ("-InF.0" ,(- (inf))) | |
| 1615 | ("+INF.0" ,(inf)) ("-INF.0" ,(- (inf))) | |
| 1616 | ("#i+InF.0" ,(inf)) ("#i-InF.0" ,(- (inf))) | |
| 1617 | ("+nan.0" ,(nan)) ("-nan.0" ,(nan)) | |
| 1618 | ("#i+nan.0" ,(nan)) ("#i-nan.0" ,(nan)) | |
| b7d9b1cf DH |
1619 | ;; Decimal numbers: |
| 1620 | ;; * <uinteger 10> <suffix> | |
| 1621 | ("1e2" 100.0) ("1E2" 100.0) ("1s2" 100.0) ("1S2" 100.0) | |
| 1622 | ("1f2" 100.0) ("1F2" 100.0) ("1d2" 100.0) ("1D2" 100.0) | |
| 1623 | ("1l2" 100.0) ("1L2" 100.0) ("1e+2" 100.0) ("1e-2" 0.01) | |
| 1624 | ;; * . <digit 10>+ #* <suffix> | |
| 1625 | (".1" .1) (".0123456789" 123456789e-10) (".16#" 0.16) | |
| 1626 | (".0123456789e10" 123456789.0) (".16#e3" 160.0) ("#d.3" 0.3) | |
| 1627 | ;; * <digit 10>+ . <digit 10>* #* <suffix> | |
| 1628 | ("3." ,(exact->inexact 3)) ("3.e0" ,(exact->inexact 3)) | |
| 1629 | ("3.1" ,(exact->inexact 31/10)) ("3.1e0" 3.1) ("3.1#" 3.1) | |
| 1630 | ("3.1#e0" 3.1) | |
| 1631 | ;; * <digit 10>+ #+ . #* <suffix> | |
| 1632 | ("3#." 30.0) ("3#.e0" 30.0) ("3#.#" 30.0) ("3#.#e0" 30.0) | |
| 9d427b2c MW |
1633 | )) |
| 1634 | #t) | |
| 1635 | ||
| 1636 | (pass-if "valid complex number strings" | |
| 1637 | (for-each (lambda (triple) | |
| 1638 | (apply | |
| 1639 | (lambda (str re im) | |
| 1640 | (let ((z (string->number str))) | |
| 1641 | (if (or (eq? z #f) | |
| 1642 | (not (and (eqv? (real-part z) re) | |
| 1643 | (eqv? (imag-part z) im)))) | |
| 1644 | (begin | |
| 1645 | (pk str re im) | |
| 1646 | (throw 'fail))))) | |
| 1647 | triple)) | |
| 1648 | `(("1@0" 1 0) ("1@+0" 1 0) ("1@-0" 1 0) ("1/2@0" 1/2 0) | |
| 1649 | ("1.0@0" 1.0 0) ("1.0@-0" 1.0 0) | |
| 1650 | ("#e1@0" 1 0) ("#e1@+0" 1 0) ("#e1@-0" 1 0) ("#e0.5@0.0" 1/2 0) | |
| 1651 | ("#e1.0@0" 1 0) ("#e1.0@-0" 1 0) | |
| 1652 | ("#i1@0" 1.0 0.0) ("#i1@+0" 1.0 0.0) ("#i1@-0" 1.0 -0.0) ("#i1/2@0" 0.5 0.0) | |
| 1653 | ("#i1.0@0" 1.0 0.0) ("#i1.0@-0" 1.0 -0.0) | |
| 1654 | ("1@+0.0" 1.0 0.0) ("1.0@-0.0" 1.0 -0.0) | |
| 1655 | ("2+3i" 2.0 3.0) ("4-5i" 4.0 -5.0) | |
| 1656 | ("1+i" 1.0 1.0) ("1-i" 1.0 -1.0) ("+1i" 0.0 1.0) ("-1i" 0.0 -1.0) | |
| 1657 | ("+i" 0.0 1.0) ("-i" 0.0 -1.0) | |
| 1658 | ("1.0+.1i" 1.0 0.1) ("1.0-.1i" 1.0 -0.1) | |
| 1659 | (".1+.0i" 0.1 0.0) ("1.+.0i" 1.0 0.0) (".1+.1i" 0.1 0.1) | |
| 1660 | ("1e1+.1i" 10.0 0.1) | |
| 1661 | ("0@+nan.0" 0 0) ("0@+inf.0" 0 0) ("0@-inf.0" 0 0) | |
| 1662 | ("0.0@+nan.0" 0.0 0.0) ("0.0@+inf.0" 0.0 0.0) ("0.0@-inf.0" 0.0 0.0) | |
| 1663 | ("#i0@+nan.0" 0.0 0.0) ("#i0@+inf.0" 0.0 0.0) ("#i0@-inf.0" 0.0 0.0) | |
| 1664 | ("0.0@1" 0.0 0.0) ("0.0@2" -0.0 0.0) ("0.0@4" -0.0 -0.0) ("0.0@5" 0.0 -0.0) | |
| 40f89215 | 1665 | )) |
| b7d9b1cf DH |
1666 | #t) |
| 1667 | ||
| 2f4a254a DH |
1668 | (pass-if-exception "exponent too big" |
| 1669 | exception:out-of-range | |
| 48e78ba6 KR |
1670 | (string->number "12.13e141414")) |
| 1671 | ||
| 1672 | ;; in guile 1.6.7 and earlier, bad polar forms (where the conversion of | |
| 1673 | ;; the angle gave #f) caused a segv | |
| 1674 | (pass-if "1@a" | |
| 1675 | (eq? #f (string->number "1@a")))) | |
| 2f4a254a | 1676 | |
| f29b3454 DH |
1677 | ;;; |
| 1678 | ;;; number? | |
| 1679 | ;;; | |
| 1680 | ||
| 7c24e528 RB |
1681 | (with-test-prefix "number?" |
| 1682 | (pass-if (documented? number?)) | |
| 1683 | (pass-if (number? 0)) | |
| 1684 | (pass-if (number? 7)) | |
| 1685 | (pass-if (number? -7)) | |
| 1686 | (pass-if (number? 1.3)) | |
| 1687 | (pass-if (number? (+ 1 fixnum-max))) | |
| 1688 | (pass-if (number? (- 1 fixnum-min))) | |
| 1689 | (pass-if (number? 3+4i)) | |
| 4d332f19 DH |
1690 | (pass-if (not (number? #\a))) |
| 1691 | (pass-if (not (number? "a"))) | |
| 1692 | (pass-if (not (number? (make-vector 0)))) | |
| 1693 | (pass-if (not (number? (cons 1 2)))) | |
| 1694 | (pass-if (not (number? #t))) | |
| 1695 | (pass-if (not (number? (lambda () #t)))) | |
| 1696 | (pass-if (not (number? (current-input-port))))) | |
| 7c24e528 | 1697 | |
| f29b3454 DH |
1698 | ;;; |
| 1699 | ;;; complex? | |
| 1700 | ;;; | |
| 1701 | ||
| 7c24e528 RB |
1702 | (with-test-prefix "complex?" |
| 1703 | (pass-if (documented? complex?)) | |
| 1704 | (pass-if (complex? 0)) | |
| 1705 | (pass-if (complex? 7)) | |
| 1706 | (pass-if (complex? -7)) | |
| 1707 | (pass-if (complex? (+ 1 fixnum-max))) | |
| 1708 | (pass-if (complex? (- 1 fixnum-min))) | |
| 1709 | (pass-if (complex? 1.3)) | |
| 1710 | (pass-if (complex? 3+4i)) | |
| 4d332f19 DH |
1711 | (pass-if (not (complex? #\a))) |
| 1712 | (pass-if (not (complex? "a"))) | |
| 1713 | (pass-if (not (complex? (make-vector 0)))) | |
| 1714 | (pass-if (not (complex? (cons 1 2)))) | |
| 1715 | (pass-if (not (complex? #t))) | |
| 1716 | (pass-if (not (complex? (lambda () #t)))) | |
| 1717 | (pass-if (not (complex? (current-input-port))))) | |
| 7c24e528 | 1718 | |
| f29b3454 DH |
1719 | ;;; |
| 1720 | ;;; real? | |
| 1721 | ;;; | |
| 1722 | ||
| 7c24e528 RB |
1723 | (with-test-prefix "real?" |
| 1724 | (pass-if (documented? real?)) | |
| 1725 | (pass-if (real? 0)) | |
| 1726 | (pass-if (real? 7)) | |
| 1727 | (pass-if (real? -7)) | |
| 1728 | (pass-if (real? (+ 1 fixnum-max))) | |
| 1729 | (pass-if (real? (- 1 fixnum-min))) | |
| 1730 | (pass-if (real? 1.3)) | |
| c960e556 MW |
1731 | (pass-if (real? +inf.0)) |
| 1732 | (pass-if (real? -inf.0)) | |
| 1733 | (pass-if (real? +nan.0)) | |
| 1734 | (pass-if (not (real? +inf.0-inf.0i))) | |
| 1735 | (pass-if (not (real? +nan.0+nan.0i))) | |
| 4d332f19 DH |
1736 | (pass-if (not (real? 3+4i))) |
| 1737 | (pass-if (not (real? #\a))) | |
| 1738 | (pass-if (not (real? "a"))) | |
| 1739 | (pass-if (not (real? (make-vector 0)))) | |
| 1740 | (pass-if (not (real? (cons 1 2)))) | |
| 1741 | (pass-if (not (real? #t))) | |
| 1742 | (pass-if (not (real? (lambda () #t)))) | |
| 1743 | (pass-if (not (real? (current-input-port))))) | |
| 7c24e528 | 1744 | |
| f29b3454 | 1745 | ;;; |
| c960e556 | 1746 | ;;; rational? |
| f29b3454 DH |
1747 | ;;; |
| 1748 | ||
| 7c24e528 RB |
1749 | (with-test-prefix "rational?" |
| 1750 | (pass-if (documented? rational?)) | |
| 1751 | (pass-if (rational? 0)) | |
| 1752 | (pass-if (rational? 7)) | |
| 1753 | (pass-if (rational? -7)) | |
| 1754 | (pass-if (rational? (+ 1 fixnum-max))) | |
| 1755 | (pass-if (rational? (- 1 fixnum-min))) | |
| 1756 | (pass-if (rational? 1.3)) | |
| c960e556 MW |
1757 | (pass-if (not (rational? +inf.0))) |
| 1758 | (pass-if (not (rational? -inf.0))) | |
| 1759 | (pass-if (not (rational? +nan.0))) | |
| 1760 | (pass-if (not (rational? +inf.0-inf.0i))) | |
| 1761 | (pass-if (not (rational? +nan.0+nan.0i))) | |
| 4d332f19 DH |
1762 | (pass-if (not (rational? 3+4i))) |
| 1763 | (pass-if (not (rational? #\a))) | |
| 1764 | (pass-if (not (rational? "a"))) | |
| 1765 | (pass-if (not (rational? (make-vector 0)))) | |
| 1766 | (pass-if (not (rational? (cons 1 2)))) | |
| 1767 | (pass-if (not (rational? #t))) | |
| 1768 | (pass-if (not (rational? (lambda () #t)))) | |
| 1769 | (pass-if (not (rational? (current-input-port))))) | |
| 7c24e528 | 1770 | |
| f29b3454 DH |
1771 | ;;; |
| 1772 | ;;; integer? | |
| 1773 | ;;; | |
| 1774 | ||
| 7c24e528 RB |
1775 | (with-test-prefix "integer?" |
| 1776 | (pass-if (documented? integer?)) | |
| 1777 | (pass-if (integer? 0)) | |
| 1778 | (pass-if (integer? 7)) | |
| 1779 | (pass-if (integer? -7)) | |
| 1780 | (pass-if (integer? (+ 1 fixnum-max))) | |
| 1781 | (pass-if (integer? (- 1 fixnum-min))) | |
| 1782 | (pass-if (and (= 3+0i (round 3+0i)) (integer? 3+0i))) | |
| 1783 | (pass-if (and (= 1.0 (round 1.0)) (integer? 1.0))) | |
| 4d332f19 | 1784 | (pass-if (not (integer? 1.3))) |
| 8e43ed5d AW |
1785 | (pass-if (not (integer? +inf.0))) |
| 1786 | (pass-if (not (integer? -inf.0))) | |
| c1122753 | 1787 | (pass-if (not (integer? +nan.0))) |
| c7218482 MW |
1788 | (pass-if (not (integer? +inf.0-inf.0i))) |
| 1789 | (pass-if (not (integer? +nan.0+nan.0i))) | |
| 4d332f19 DH |
1790 | (pass-if (not (integer? 3+4i))) |
| 1791 | (pass-if (not (integer? #\a))) | |
| 1792 | (pass-if (not (integer? "a"))) | |
| 1793 | (pass-if (not (integer? (make-vector 0)))) | |
| 1794 | (pass-if (not (integer? (cons 1 2)))) | |
| 1795 | (pass-if (not (integer? #t))) | |
| 1796 | (pass-if (not (integer? (lambda () #t)))) | |
| 1797 | (pass-if (not (integer? (current-input-port))))) | |
| 7c24e528 | 1798 | |
| f29b3454 DH |
1799 | ;;; |
| 1800 | ;;; inexact? | |
| 1801 | ;;; | |
| 1802 | ||
| 7c24e528 RB |
1803 | (with-test-prefix "inexact?" |
| 1804 | (pass-if (documented? inexact?)) | |
| 4d332f19 DH |
1805 | (pass-if (not (inexact? 0))) |
| 1806 | (pass-if (not (inexact? 7))) | |
| 1807 | (pass-if (not (inexact? -7))) | |
| 1808 | (pass-if (not (inexact? (+ 1 fixnum-max)))) | |
| 1809 | (pass-if (not (inexact? (- 1 fixnum-min)))) | |
| 7c24e528 RB |
1810 | (pass-if (inexact? 1.3)) |
| 1811 | (pass-if (inexact? 3.1+4.2i)) | |
| 41df63cf MW |
1812 | (pass-if (inexact? +inf.0)) |
| 1813 | (pass-if (inexact? -inf.0)) | |
| 1814 | (pass-if (inexact? +nan.0)) | |
| ca2b31fe MV |
1815 | (pass-if-exception "char" |
| 1816 | exception:wrong-type-arg | |
| 1817 | (not (inexact? #\a))) | |
| 1818 | (pass-if-exception "string" | |
| 1819 | exception:wrong-type-arg | |
| 1820 | (not (inexact? "a"))) | |
| 1821 | (pass-if-exception "vector" | |
| 1822 | exception:wrong-type-arg | |
| 1823 | (not (inexact? (make-vector 0)))) | |
| 1824 | (pass-if-exception "cons" | |
| 1825 | exception:wrong-type-arg | |
| 1826 | (not (inexact? (cons 1 2)))) | |
| 1827 | (pass-if-exception "bool" | |
| 1828 | exception:wrong-type-arg | |
| 1829 | (not (inexact? #t))) | |
| 1830 | (pass-if-exception "procedure" | |
| 1831 | exception:wrong-type-arg | |
| 1832 | (not (inexact? (lambda () #t)))) | |
| 1833 | (pass-if-exception "port" | |
| 1834 | exception:wrong-type-arg | |
| 1835 | (not (inexact? (current-input-port))))) | |
| 7c24e528 | 1836 | |
| 47ae1f0e DH |
1837 | ;;; |
| 1838 | ;;; equal? | |
| 1839 | ;;; | |
| 1840 | ||
| 1841 | (with-test-prefix "equal?" | |
| 1842 | (pass-if (documented? equal?)) | |
| 2e6e1933 MW |
1843 | |
| 1844 | ;; The following test will fail on platforms | |
| 1845 | ;; without distinct signed zeroes 0.0 and -0.0. | |
| 1846 | (pass-if (not (equal? 0.0 -0.0))) | |
| 1847 | ||
| 47ae1f0e DH |
1848 | (pass-if (equal? 0 0)) |
| 1849 | (pass-if (equal? 7 7)) | |
| 1850 | (pass-if (equal? -7 -7)) | |
| 1851 | (pass-if (equal? (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
| 1852 | (pass-if (equal? (- fixnum-min 1) (- fixnum-min 1))) | |
| 2e6e1933 MW |
1853 | (pass-if (equal? 0.0 0.0)) |
| 1854 | (pass-if (equal? -0.0 -0.0)) | |
| c7218482 MW |
1855 | (pass-if (equal? 0.0+0.0i 0.0+0.0i)) |
| 1856 | (pass-if (equal? 0.0-0.0i 0.0-0.0i)) | |
| 1857 | (pass-if (equal? -0.0+0.0i -0.0+0.0i)) | |
| 47ae1f0e | 1858 | (pass-if (not (equal? 0 1))) |
| 2e6e1933 MW |
1859 | (pass-if (not (equal? 0 0.0))) |
| 1860 | (pass-if (not (equal? 1 1.0))) | |
| 1861 | (pass-if (not (equal? 0.0 0))) | |
| 1862 | (pass-if (not (equal? 1.0 1))) | |
| 1863 | (pass-if (not (equal? -1.0 -1))) | |
| c7218482 MW |
1864 | (pass-if (not (equal? 1.0 1.0+0.0i))) |
| 1865 | (pass-if (not (equal? 0.0 0.0+0.0i))) | |
| 1866 | (pass-if (not (equal? 0.0+0.0i 0.0-0.0i))) | |
| 1867 | (pass-if (not (equal? 0.0+0.0i -0.0+0.0i))) | |
| 47ae1f0e DH |
1868 | (pass-if (not (equal? fixnum-max (+ 1 fixnum-max)))) |
| 1869 | (pass-if (not (equal? (+ 1 fixnum-max) fixnum-max))) | |
| 1870 | (pass-if (not (equal? (+ 1 fixnum-max) (+ 2 fixnum-max)))) | |
| 1871 | (pass-if (not (equal? fixnum-min (- fixnum-min 1)))) | |
| 1872 | (pass-if (not (equal? (- fixnum-min 1) fixnum-min))) | |
| 1873 | (pass-if (not (equal? (- fixnum-min 1) (- fixnum-min 2)))) | |
| 1874 | (pass-if (not (equal? (+ fixnum-max 1) (- fixnum-min 1)))) | |
| 1875 | ||
| 1876 | (pass-if (not (equal? (ash 1 256) +inf.0))) | |
| 1877 | (pass-if (not (equal? +inf.0 (ash 1 256)))) | |
| 1878 | (pass-if (not (equal? (ash 1 256) -inf.0))) | |
| 1879 | (pass-if (not (equal? -inf.0 (ash 1 256)))) | |
| 1880 | ||
| 1881 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 1882 | ;; sure we've avoided that | |
| 1883 | (pass-if (not (equal? (ash 1 1024) +inf.0))) | |
| 1884 | (pass-if (not (equal? +inf.0 (ash 1 1024)))) | |
| 1885 | (pass-if (not (equal? (- (ash 1 1024)) -inf.0))) | |
| 1886 | (pass-if (not (equal? -inf.0 (- (ash 1 1024))))) | |
| 1887 | ||
| 2e6e1933 MW |
1888 | (pass-if (equal? +nan.0 +nan.0)) |
| 1889 | (pass-if (equal? +nan.0 +nan.0)) | |
| 1890 | (pass-if (not (equal? +nan.0 0.0+nan.0i))) | |
| 1891 | ||
| 47ae1f0e DH |
1892 | (pass-if (not (equal? 0 +nan.0))) |
| 1893 | (pass-if (not (equal? +nan.0 0))) | |
| 1894 | (pass-if (not (equal? 1 +nan.0))) | |
| 1895 | (pass-if (not (equal? +nan.0 1))) | |
| 1896 | (pass-if (not (equal? -1 +nan.0))) | |
| 1897 | (pass-if (not (equal? +nan.0 -1))) | |
| 1898 | ||
| 1899 | (pass-if (not (equal? (ash 1 256) +nan.0))) | |
| 1900 | (pass-if (not (equal? +nan.0 (ash 1 256)))) | |
| 1901 | (pass-if (not (equal? (- (ash 1 256)) +nan.0))) | |
| 1902 | (pass-if (not (equal? +nan.0 (- (ash 1 256))))) | |
| 1903 | ||
| 1904 | (pass-if (not (equal? (ash 1 8192) +nan.0))) | |
| 1905 | (pass-if (not (equal? +nan.0 (ash 1 8192)))) | |
| 1906 | (pass-if (not (equal? (- (ash 1 8192)) +nan.0))) | |
| 1907 | (pass-if (not (equal? +nan.0 (- (ash 1 8192))))) | |
| 1908 | ||
| 1909 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 1910 | ;; sure we've avoided that | |
| 1911 | (pass-if (not (equal? (ash 3 1023) +nan.0))) | |
| 1912 | (pass-if (not (equal? +nan.0 (ash 3 1023))))) | |
| 1913 | ||
| 2e6e1933 MW |
1914 | ;;; |
| 1915 | ;;; eqv? | |
| 1916 | ;;; | |
| 1917 | ||
| 1918 | (with-test-prefix "eqv?" | |
| 1919 | (pass-if (documented? eqv?)) | |
| 1920 | ||
| 1921 | ;; The following test will fail on platforms | |
| 1922 | ;; without distinct signed zeroes 0.0 and -0.0. | |
| 1923 | (pass-if (not (eqv? 0.0 -0.0))) | |
| 1924 | ||
| 1925 | (pass-if (eqv? 0 0)) | |
| 1926 | (pass-if (eqv? 7 7)) | |
| 1927 | (pass-if (eqv? -7 -7)) | |
| 1928 | (pass-if (eqv? (+ 1 fixnum-max) (+ 1 fixnum-max))) | |
| 1929 | (pass-if (eqv? (- fixnum-min 1) (- fixnum-min 1))) | |
| 1930 | (pass-if (eqv? 0.0 0.0)) | |
| 1931 | (pass-if (eqv? -0.0 -0.0)) | |
| c7218482 MW |
1932 | (pass-if (eqv? 0.0+0.0i 0.0+0.0i)) |
| 1933 | (pass-if (eqv? 0.0-0.0i 0.0-0.0i)) | |
| 1934 | (pass-if (eqv? -0.0+0.0i -0.0+0.0i)) | |
| 1935 | (pass-if (not (eqv? 0.0 -0.0))) | |
| 1936 | (pass-if (not (eqv? 0.0 0.0+0.0i))) | |
| 1937 | (pass-if (not (eqv? 0.0+0.0i 0.0-0.0i))) | |
| 1938 | (pass-if (not (eqv? 0.0+0.0i -0.0+0.0i))) | |
| 2e6e1933 MW |
1939 | (pass-if (not (eqv? 0 1))) |
| 1940 | (pass-if (not (eqv? 0 0.0))) | |
| 1941 | (pass-if (not (eqv? 1 1.0))) | |
| 1942 | (pass-if (not (eqv? 0.0 0))) | |
| 1943 | (pass-if (not (eqv? 1.0 1))) | |
| 1944 | (pass-if (not (eqv? -1.0 -1))) | |
| c7218482 MW |
1945 | (pass-if (not (eqv? 1.0 1.0+0.0i))) |
| 1946 | (pass-if (not (eqv? 0.0 0.0+0.0i))) | |
| 2e6e1933 MW |
1947 | (pass-if (not (eqv? fixnum-max (+ 1 fixnum-max)))) |
| 1948 | (pass-if (not (eqv? (+ 1 fixnum-max) fixnum-max))) | |
| 1949 | (pass-if (not (eqv? (+ 1 fixnum-max) (+ 2 fixnum-max)))) | |
| 1950 | (pass-if (not (eqv? fixnum-min (- fixnum-min 1)))) | |
| 1951 | (pass-if (not (eqv? (- fixnum-min 1) fixnum-min))) | |
| 1952 | (pass-if (not (eqv? (- fixnum-min 1) (- fixnum-min 2)))) | |
| 1953 | (pass-if (not (eqv? (+ fixnum-max 1) (- fixnum-min 1)))) | |
| 1954 | ||
| 1955 | (pass-if (not (eqv? (ash 1 256) +inf.0))) | |
| 1956 | (pass-if (not (eqv? +inf.0 (ash 1 256)))) | |
| 1957 | (pass-if (not (eqv? (ash 1 256) -inf.0))) | |
| 1958 | (pass-if (not (eqv? -inf.0 (ash 1 256)))) | |
| 1959 | ||
| 1960 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 1961 | ;; sure we've avoided that | |
| 1962 | (pass-if (not (eqv? (ash 1 1024) +inf.0))) | |
| 1963 | (pass-if (not (eqv? +inf.0 (ash 1 1024)))) | |
| 1964 | (pass-if (not (eqv? (- (ash 1 1024)) -inf.0))) | |
| 1965 | (pass-if (not (eqv? -inf.0 (- (ash 1 1024))))) | |
| 1966 | ||
| 1967 | (pass-if (eqv? +nan.0 +nan.0)) | |
| 1968 | (pass-if (not (eqv? +nan.0 0.0+nan.0i))) | |
| 1969 | ||
| 1970 | (pass-if (not (eqv? 0 +nan.0))) | |
| 1971 | (pass-if (not (eqv? +nan.0 0))) | |
| 1972 | (pass-if (not (eqv? 1 +nan.0))) | |
| 1973 | (pass-if (not (eqv? +nan.0 1))) | |
| 1974 | (pass-if (not (eqv? -1 +nan.0))) | |
| 1975 | (pass-if (not (eqv? +nan.0 -1))) | |
| 1976 | ||
| 1977 | (pass-if (not (eqv? (ash 1 256) +nan.0))) | |
| 1978 | (pass-if (not (eqv? +nan.0 (ash 1 256)))) | |
| 1979 | (pass-if (not (eqv? (- (ash 1 256)) +nan.0))) | |
| 1980 | (pass-if (not (eqv? +nan.0 (- (ash 1 256))))) | |
| 1981 | ||
| 1982 | (pass-if (not (eqv? (ash 1 8192) +nan.0))) | |
| 1983 | (pass-if (not (eqv? +nan.0 (ash 1 8192)))) | |
| 1984 | (pass-if (not (eqv? (- (ash 1 8192)) +nan.0))) | |
| 1985 | (pass-if (not (eqv? +nan.0 (- (ash 1 8192))))) | |
| 1986 | ||
| 1987 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 1988 | ;; sure we've avoided that | |
| 1989 | (pass-if (not (eqv? (ash 3 1023) +nan.0))) | |
| 1990 | (pass-if (not (eqv? +nan.0 (ash 3 1023))))) | |
| 1991 | ||
| f29b3454 DH |
1992 | ;;; |
| 1993 | ;;; = | |
| 1994 | ;;; | |
| 1995 | ||
| 7c24e528 | 1996 | (with-test-prefix "=" |
| 8a1f4f98 | 1997 | (pass-if (documented? =)) |
| 7c24e528 RB |
1998 | (pass-if (= 7 7)) |
| 1999 | (pass-if (= -7 -7)) | |
| c7218482 MW |
2000 | (pass-if (= 1.0 1)) |
| 2001 | (pass-if (= 1 1.0)) | |
| 2002 | (pass-if (= -1 -1.0)) | |
| 2003 | (pass-if (= 0.0 0.0)) | |
| 2004 | (pass-if (= 0.0 -0.0)) | |
| 2005 | (pass-if (= 1 1.0+0.0i)) | |
| 2006 | ||
| 2007 | (pass-if (= 0 0)) | |
| 2008 | (pass-if (= 0 0.0)) | |
| 2009 | (pass-if (= 0 -0.0)) | |
| 2010 | (pass-if (= 0 0.0+0.0i)) | |
| 2011 | (pass-if (= 0 0.0-0.0i)) | |
| 2012 | (pass-if (= 0 0.0+0.0i)) | |
| 2013 | (pass-if (= 0 -0.0-0.0i)) | |
| 2014 | ||
| 2015 | (pass-if (= 0 0)) | |
| 2016 | (pass-if (= 0.0 0)) | |
| 2017 | (pass-if (= -0.0 0)) | |
| 2018 | (pass-if (= 0.0+0.0i 0)) | |
| 2019 | (pass-if (= 0.0-0.0i 0)) | |
| 2020 | (pass-if (= 0.0+0.0i 0)) | |
| 2021 | (pass-if (= -0.0-0.0i 0)) | |
| 2022 | ||
| 2023 | (pass-if (= 0.0+0.0i 0.0-0.0i)) | |
| 2024 | (pass-if (= 0.0+0.0i -0.0+0.0i)) | |
| 2025 | ||
| 7c24e528 | 2026 | (pass-if (= (+ 1 fixnum-max) (+ 1 fixnum-max))) |
| 47ae1f0e | 2027 | (pass-if (= (- fixnum-min 1) (- fixnum-min 1))) |
| 4d332f19 DH |
2028 | (pass-if (not (= 0 1))) |
| 2029 | (pass-if (not (= fixnum-max (+ 1 fixnum-max)))) | |
| 2030 | (pass-if (not (= (+ 1 fixnum-max) fixnum-max))) | |
| 47ae1f0e | 2031 | (pass-if (not (= (+ 1 fixnum-max) (+ 2 fixnum-max)))) |
| 4d332f19 DH |
2032 | (pass-if (not (= fixnum-min (- fixnum-min 1)))) |
| 2033 | (pass-if (not (= (- fixnum-min 1) fixnum-min))) | |
| 47ae1f0e | 2034 | (pass-if (not (= (- fixnum-min 1) (- fixnum-min 2)))) |
| 4d332f19 | 2035 | (pass-if (not (= (+ fixnum-max 1) (- fixnum-min 1)))) |
| 2cfcaed5 | 2036 | |
| adda36ed KR |
2037 | (pass-if (not (= (ash 1 256) +inf.0))) |
| 2038 | (pass-if (not (= +inf.0 (ash 1 256)))) | |
| 2039 | (pass-if (not (= (ash 1 256) -inf.0))) | |
| 2040 | (pass-if (not (= -inf.0 (ash 1 256)))) | |
| 2041 | ||
| 2042 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 2043 | ;; sure we've avoided that | |
| 2044 | (pass-if (not (= (ash 1 1024) +inf.0))) | |
| 2045 | (pass-if (not (= +inf.0 (ash 1 1024)))) | |
| 2046 | (pass-if (not (= (- (ash 1 1024)) -inf.0))) | |
| 2047 | (pass-if (not (= -inf.0 (- (ash 1 1024))))) | |
| 2048 | ||
| 2cfcaed5 KR |
2049 | (pass-if (not (= +nan.0 +nan.0))) |
| 2050 | (pass-if (not (= 0 +nan.0))) | |
| 2051 | (pass-if (not (= +nan.0 0))) | |
| 2052 | (pass-if (not (= 1 +nan.0))) | |
| 2053 | (pass-if (not (= +nan.0 1))) | |
| 2054 | (pass-if (not (= -1 +nan.0))) | |
| 2055 | (pass-if (not (= +nan.0 -1))) | |
| 2056 | ||
| 2057 | (pass-if (not (= (ash 1 256) +nan.0))) | |
| 2058 | (pass-if (not (= +nan.0 (ash 1 256)))) | |
| 2059 | (pass-if (not (= (- (ash 1 256)) +nan.0))) | |
| 2060 | (pass-if (not (= +nan.0 (- (ash 1 256))))) | |
| 2061 | ||
| 2062 | (pass-if (not (= (ash 1 8192) +nan.0))) | |
| 2063 | (pass-if (not (= +nan.0 (ash 1 8192)))) | |
| 2064 | (pass-if (not (= (- (ash 1 8192)) +nan.0))) | |
| 2065 | (pass-if (not (= +nan.0 (- (ash 1 8192))))) | |
| 2066 | ||
| 2067 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 2068 | ;; sure we've avoided that | |
| 2069 | (pass-if (not (= (ash 3 1023) +nan.0))) | |
| 2a8b5e04 KR |
2070 | (pass-if (not (= +nan.0 (ash 3 1023)))) |
| 2071 | ||
| 2072 | (pass-if (= 1/2 0.5)) | |
| 2073 | (pass-if (not (= 1/3 0.333333333333333333333333333333333))) | |
| 2074 | (pass-if (not (= 2/3 0.5))) | |
| 2075 | (pass-if (not (= 0.5 (+ 1/2 (/ 1 (ash 1 1000)))))) | |
| 2076 | ||
| 2077 | (pass-if (= 1/2 0.5+0i)) | |
| 2078 | (pass-if (not (= 0.333333333333333333333333333333333 1/3))) | |
| 2079 | (pass-if (not (= 2/3 0.5+0i))) | |
| 2080 | (pass-if (not (= 1/2 0+0.5i))) | |
| 2081 | ||
| 2082 | (pass-if (= 0.5 1/2)) | |
| 2083 | (pass-if (not (= 0.5 2/3))) | |
| 2084 | (pass-if (not (= (+ 1/2 (/ 1 (ash 1 1000))) 0.5))) | |
| 2085 | ||
| 2086 | (pass-if (= 0.5+0i 1/2)) | |
| 2087 | (pass-if (not (= 0.5+0i 2/3))) | |
| 6f6847fa KR |
2088 | (pass-if (not (= 0+0.5i 1/2))) |
| 2089 | ||
| 2090 | ;; prior to guile 1.8, inum/flonum comparisons were done just by | |
| 2091 | ;; converting the inum to a double, which on a 64-bit would round making | |
| 2092 | ;; say inexact 2^58 appear equal to exact 2^58+1 | |
| 2093 | (pass-if (= (ash-flo 1.0 58) (ash 1 58))) | |
| 2094 | (pass-if (not (= (ash-flo 1.0 58) (1+ (ash 1 58))))) | |
| 2095 | (pass-if (not (= (ash-flo 1.0 58) (1- (ash 1 58))))) | |
| 2096 | (pass-if (= (ash 1 58) (ash-flo 1.0 58))) | |
| 2097 | (pass-if (not (= (1+ (ash 1 58)) (ash-flo 1.0 58)))) | |
| 01329288 MW |
2098 | (pass-if (not (= (1- (ash 1 58)) (ash-flo 1.0 58)))) |
| 2099 | ||
| 2100 | ;; prior to guile 2.0.10, inum/complex comparisons were done just by | |
| 2101 | ;; converting the inum to a double, which on a 64-bit would round making | |
| 2102 | ;; say inexact 2^58 appear equal to exact 2^58+1 | |
| 2103 | (pass-if (= (+ +0.0i (ash-flo 1.0 58)) (ash 1 58))) | |
| 2104 | (pass-if (not (= (+ +0.0i (ash-flo 1.0 58)) (1+ (ash 1 58))))) | |
| 2105 | (pass-if (not (= (+ +0.0i (ash-flo 1.0 58)) (1- (ash 1 58))))) | |
| 2106 | (pass-if (= (ash 1 58) (+ +0.0i (ash-flo 1.0 58)))) | |
| 2107 | (pass-if (not (= (1+ (ash 1 58)) (+ +0.0i (ash-flo 1.0 58))))) | |
| 2108 | (pass-if (not (= (1- (ash 1 58)) (+ +0.0i (ash-flo 1.0 58))))) | |
| 2109 | ||
| 2110 | ;; prior to guile 2.0.10, fraction/flonum and fraction/complex | |
| 2111 | ;; comparisons mishandled infinities. | |
| 2112 | (pass-if (not (= 1/2 +inf.0))) | |
| 2113 | (pass-if (not (= 1/2 -inf.0))) | |
| 2114 | (pass-if (not (= +inf.0 1/2))) | |
| 2115 | (pass-if (not (= -inf.0 1/2))) | |
| 2116 | (pass-if (not (= 1/2 +inf.0+0.0i))) | |
| 2117 | (pass-if (not (= 1/2 -inf.0+0.0i))) | |
| 2118 | (pass-if (not (= +inf.0+0.0i 1/2))) | |
| 2119 | (pass-if (not (= -inf.0+0.0i 1/2)))) | |
| 7c24e528 | 2120 | |
| de142bea DH |
2121 | ;;; |
| 2122 | ;;; < | |
| 2123 | ;;; | |
| 2124 | ||
| 2125 | (with-test-prefix "<" | |
| 2126 | ||
| 8a1f4f98 | 2127 | (pass-if "documented?" |
| cb18f2a8 | 2128 | (documented? <)) |
| de142bea | 2129 | |
| de142bea DH |
2130 | (with-test-prefix "(< 0 n)" |
| 2131 | ||
| 2132 | (pass-if "n = 0" | |
| 2133 | (not (< 0 0))) | |
| 2134 | ||
| 2135 | (pass-if "n = 0.0" | |
| 2136 | (not (< 0 0.0))) | |
| 2137 | ||
| 2138 | (pass-if "n = 1" | |
| 2139 | (< 0 1)) | |
| 2140 | ||
| 2141 | (pass-if "n = 1.0" | |
| 2142 | (< 0 1.0)) | |
| 2143 | ||
| 2144 | (pass-if "n = -1" | |
| 2145 | (not (< 0 -1))) | |
| 2146 | ||
| 2147 | (pass-if "n = -1.0" | |
| 2148 | (not (< 0 -1.0))) | |
| 2149 | ||
| 21e39e8f DH |
2150 | (pass-if "n = fixnum-max" |
| 2151 | (< 0 fixnum-max)) | |
| 2152 | ||
| 2153 | (pass-if "n = fixnum-max + 1" | |
| 2154 | (< 0 (+ fixnum-max 1))) | |
| 2155 | ||
| 2156 | (pass-if "n = fixnum-min" | |
| 2157 | (not (< 0 fixnum-min))) | |
| de142bea | 2158 | |
| 21e39e8f DH |
2159 | (pass-if "n = fixnum-min - 1" |
| 2160 | (not (< 0 (- fixnum-min 1))))) | |
| 2161 | ||
| de142bea DH |
2162 | (with-test-prefix "(< 0.0 n)" |
| 2163 | ||
| 2164 | (pass-if "n = 0" | |
| 2165 | (not (< 0.0 0))) | |
| 2166 | ||
| 2167 | (pass-if "n = 0.0" | |
| 2168 | (not (< 0.0 0.0))) | |
| 2169 | ||
| 01329288 MW |
2170 | (pass-if "n = -0.0" |
| 2171 | (not (< 0.0 -0.0))) | |
| 2172 | ||
| de142bea DH |
2173 | (pass-if "n = 1" |
| 2174 | (< 0.0 1)) | |
| 2175 | ||
| 2176 | (pass-if "n = 1.0" | |
| 2177 | (< 0.0 1.0)) | |
| 2178 | ||
| 2179 | (pass-if "n = -1" | |
| 2180 | (not (< 0.0 -1))) | |
| 2181 | ||
| 2182 | (pass-if "n = -1.0" | |
| 2183 | (not (< 0.0 -1.0))) | |
| 2184 | ||
| 21e39e8f DH |
2185 | (pass-if "n = fixnum-max" |
| 2186 | (< 0.0 fixnum-max)) | |
| 2187 | ||
| 2188 | (pass-if "n = fixnum-max + 1" | |
| 2189 | (< 0.0 (+ fixnum-max 1))) | |
| de142bea | 2190 | |
| 21e39e8f DH |
2191 | (pass-if "n = fixnum-min" |
| 2192 | (not (< 0.0 fixnum-min))) | |
| 2193 | ||
| 2194 | (pass-if "n = fixnum-min - 1" | |
| 2195 | (not (< 0.0 (- fixnum-min 1))))) | |
| 95ed2217 MW |
2196 | |
| 2197 | (pass-if (not (< -0.0 0.0))) | |
| 2198 | (pass-if (not (< -0.0 -0.0))) | |
| 21e39e8f DH |
2199 | |
| 2200 | (with-test-prefix "(< 1 n)" | |
| de142bea | 2201 | |
| 21e39e8f | 2202 | (pass-if "n = 0" |
| de142bea DH |
2203 | (not (< 1 0))) |
| 2204 | ||
| 21e39e8f DH |
2205 | (pass-if "n = 0.0" |
| 2206 | (not (< 1 0.0))) | |
| 2207 | ||
| 2208 | (pass-if "n = 1" | |
| 2209 | (not (< 1 1))) | |
| 2210 | ||
| de142bea | 2211 | (pass-if "n = 1.0" |
| 21e39e8f DH |
2212 | (not (< 1 1.0))) |
| 2213 | ||
| 2214 | (pass-if "n = -1" | |
| 2215 | (not (< 1 -1))) | |
| 2216 | ||
| 2217 | (pass-if "n = -1.0" | |
| 2218 | (not (< 1 -1.0))) | |
| 2219 | ||
| 2220 | (pass-if "n = fixnum-max" | |
| 2221 | (< 1 fixnum-max)) | |
| 2222 | ||
| 2223 | (pass-if "n = fixnum-max + 1" | |
| 2224 | (< 1 (+ fixnum-max 1))) | |
| 2225 | ||
| 2226 | (pass-if "n = fixnum-min" | |
| 2227 | (not (< 1 fixnum-min))) | |
| 2228 | ||
| 2229 | (pass-if "n = fixnum-min - 1" | |
| 2230 | (not (< 1 (- fixnum-min 1))))) | |
| 2231 | ||
| 2232 | (with-test-prefix "(< 1.0 n)" | |
| 2233 | ||
| 2234 | (pass-if "n = 0" | |
| de142bea DH |
2235 | (not (< 1.0 0))) |
| 2236 | ||
| 21e39e8f DH |
2237 | (pass-if "n = 0.0" |
| 2238 | (not (< 1.0 0.0))) | |
| 2239 | ||
| 2240 | (pass-if "n = 1" | |
| 2241 | (not (< 1.0 1))) | |
| 2242 | ||
| 2243 | (pass-if "n = 1.0" | |
| 2244 | (not (< 1.0 1.0))) | |
| 2245 | ||
| de142bea | 2246 | (pass-if "n = -1" |
| 21e39e8f DH |
2247 | (not (< 1.0 -1))) |
| 2248 | ||
| 2249 | (pass-if "n = -1.0" | |
| 2250 | (not (< 1.0 -1.0))) | |
| 2251 | ||
| 2252 | (pass-if "n = fixnum-max" | |
| 2253 | (< 1.0 fixnum-max)) | |
| 2254 | ||
| 2255 | (pass-if "n = fixnum-max + 1" | |
| 2256 | (< 1.0 (+ fixnum-max 1))) | |
| 2257 | ||
| 2258 | (pass-if "n = fixnum-min" | |
| 2259 | (not (< 1.0 fixnum-min))) | |
| 2260 | ||
| 2261 | (pass-if "n = fixnum-min - 1" | |
| 2262 | (not (< 1.0 (- fixnum-min 1))))) | |
| 2263 | ||
| 2264 | (with-test-prefix "(< -1 n)" | |
| 2265 | ||
| 2266 | (pass-if "n = 0" | |
| de142bea DH |
2267 | (< -1 0)) |
| 2268 | ||
| 21e39e8f DH |
2269 | (pass-if "n = 0.0" |
| 2270 | (< -1 0.0)) | |
| 2271 | ||
| 2272 | (pass-if "n = 1" | |
| 2273 | (< -1 1)) | |
| 2274 | ||
| 2275 | (pass-if "n = 1.0" | |
| 2276 | (< -1 1.0)) | |
| 2277 | ||
| 2278 | (pass-if "n = -1" | |
| 2279 | (not (< -1 -1))) | |
| 2280 | ||
| de142bea | 2281 | (pass-if "n = -1.0" |
| 21e39e8f DH |
2282 | (not (< -1 -1.0))) |
| 2283 | ||
| 2284 | (pass-if "n = fixnum-max" | |
| 2285 | (< -1 fixnum-max)) | |
| 2286 | ||
| 2287 | (pass-if "n = fixnum-max + 1" | |
| 2288 | (< -1 (+ fixnum-max 1))) | |
| 2289 | ||
| 2290 | (pass-if "n = fixnum-min" | |
| 2291 | (not (< -1 fixnum-min))) | |
| 2292 | ||
| 2293 | (pass-if "n = fixnum-min - 1" | |
| 2294 | (not (< -1 (- fixnum-min 1))))) | |
| 2295 | ||
| 2296 | (with-test-prefix "(< -1.0 n)" | |
| 2297 | ||
| 2298 | (pass-if "n = 0" | |
| de142bea DH |
2299 | (< -1.0 0)) |
| 2300 | ||
| 21e39e8f DH |
2301 | (pass-if "n = 0.0" |
| 2302 | (< -1.0 0.0)) | |
| 2303 | ||
| 2304 | (pass-if "n = 1" | |
| 2305 | (< -1.0 1)) | |
| 2306 | ||
| 2307 | (pass-if "n = 1.0" | |
| 2308 | (< -1.0 1.0)) | |
| 2309 | ||
| 2310 | (pass-if "n = -1" | |
| 2311 | (not (< -1.0 -1))) | |
| 2312 | ||
| 2313 | (pass-if "n = -1.0" | |
| 2314 | (not (< -1.0 -1.0))) | |
| 2315 | ||
| 2316 | (pass-if "n = fixnum-max" | |
| 2317 | (< -1.0 fixnum-max)) | |
| 2318 | ||
| 2319 | (pass-if "n = fixnum-max + 1" | |
| 2320 | (< -1.0 (+ fixnum-max 1))) | |
| de142bea | 2321 | |
| 21e39e8f DH |
2322 | (pass-if "n = fixnum-min" |
| 2323 | (not (< -1.0 fixnum-min))) | |
| 2324 | ||
| 2325 | (pass-if "n = fixnum-min - 1" | |
| 2326 | (not (< -1.0 (- fixnum-min 1))))) | |
| 2327 | ||
| 2328 | (with-test-prefix "(< fixnum-max n)" | |
| 2329 | ||
| 2330 | (pass-if "n = 0" | |
| 2331 | (not (< fixnum-max 0))) | |
| 2332 | ||
| 2333 | (pass-if "n = 0.0" | |
| 2334 | (not (< fixnum-max 0.0))) | |
| de142bea DH |
2335 | |
| 2336 | (pass-if "n = 1" | |
| 21e39e8f | 2337 | (not (< fixnum-max 1))) |
| de142bea DH |
2338 | |
| 2339 | (pass-if "n = 1.0" | |
| 21e39e8f | 2340 | (not (< fixnum-max 1.0))) |
| de142bea DH |
2341 | |
| 2342 | (pass-if "n = -1" | |
| 21e39e8f | 2343 | (not (< fixnum-max -1))) |
| de142bea DH |
2344 | |
| 2345 | (pass-if "n = -1.0" | |
| 21e39e8f | 2346 | (not (< fixnum-max -1.0))) |
| de142bea | 2347 | |
| 21e39e8f DH |
2348 | (pass-if "n = fixnum-max" |
| 2349 | (not (< fixnum-max fixnum-max))) | |
| de142bea | 2350 | |
| 21e39e8f DH |
2351 | (pass-if "n = fixnum-max + 1" |
| 2352 | (< fixnum-max (+ fixnum-max 1))) | |
| 2353 | ||
| 2354 | (pass-if "n = fixnum-min" | |
| 2355 | (not (< fixnum-max fixnum-min))) | |
| 2356 | ||
| 2357 | (pass-if "n = fixnum-min - 1" | |
| 2358 | (not (< fixnum-max (- fixnum-min 1))))) | |
| 2359 | ||
| 2360 | (with-test-prefix "(< (+ fixnum-max 1) n)" | |
| 2361 | ||
| 2362 | (pass-if "n = 0" | |
| 2363 | (not (< (+ fixnum-max 1) 0))) | |
| 2364 | ||
| 2365 | (pass-if "n = 0.0" | |
| 2366 | (not (< (+ fixnum-max 1) 0.0))) | |
| de142bea DH |
2367 | |
| 2368 | (pass-if "n = 1" | |
| 21e39e8f | 2369 | (not (< (+ fixnum-max 1) 1))) |
| de142bea DH |
2370 | |
| 2371 | (pass-if "n = 1.0" | |
| 21e39e8f | 2372 | (not (< (+ fixnum-max 1) 1.0))) |
| de142bea DH |
2373 | |
| 2374 | (pass-if "n = -1" | |
| 21e39e8f | 2375 | (not (< (+ fixnum-max 1) -1))) |
| de142bea DH |
2376 | |
| 2377 | (pass-if "n = -1.0" | |
| 21e39e8f | 2378 | (not (< (+ fixnum-max 1) -1.0))) |
| de142bea | 2379 | |
| 21e39e8f DH |
2380 | (pass-if "n = fixnum-max" |
| 2381 | (not (< (+ fixnum-max 1) fixnum-max))) | |
| de142bea | 2382 | |
| 21e39e8f DH |
2383 | (pass-if "n = fixnum-max + 1" |
| 2384 | (not (< (+ fixnum-max 1) (+ fixnum-max 1)))) | |
| de142bea | 2385 | |
| 21e39e8f DH |
2386 | (pass-if "n = fixnum-min" |
| 2387 | (not (< (+ fixnum-max 1) fixnum-min))) | |
| 2388 | ||
| 2389 | (pass-if "n = fixnum-min - 1" | |
| 2390 | (not (< (+ fixnum-max 1) (- fixnum-min 1))))) | |
| 2391 | ||
| 2392 | (with-test-prefix "(< fixnum-min n)" | |
| 2393 | ||
| 2394 | (pass-if "n = 0" | |
| 2395 | (< fixnum-min 0)) | |
| 2396 | ||
| 2397 | (pass-if "n = 0.0" | |
| 2398 | (< fixnum-min 0.0)) | |
| de142bea DH |
2399 | |
| 2400 | (pass-if "n = 1" | |
| 21e39e8f | 2401 | (< fixnum-min 1)) |
| de142bea DH |
2402 | |
| 2403 | (pass-if "n = 1.0" | |
| 21e39e8f | 2404 | (< fixnum-min 1.0)) |
| de142bea DH |
2405 | |
| 2406 | (pass-if "n = -1" | |
| 21e39e8f | 2407 | (< fixnum-min -1)) |
| de142bea DH |
2408 | |
| 2409 | (pass-if "n = -1.0" | |
| 21e39e8f | 2410 | (< fixnum-min -1.0)) |
| de142bea | 2411 | |
| 21e39e8f DH |
2412 | (pass-if "n = fixnum-max" |
| 2413 | (< fixnum-min fixnum-max)) | |
| 2414 | ||
| 2415 | (pass-if "n = fixnum-max + 1" | |
| 2416 | (< fixnum-min (+ fixnum-max 1))) | |
| de142bea | 2417 | |
| 21e39e8f DH |
2418 | (pass-if "n = fixnum-min" |
| 2419 | (not (< fixnum-min fixnum-min))) | |
| de142bea | 2420 | |
| 21e39e8f DH |
2421 | (pass-if "n = fixnum-min - 1" |
| 2422 | (not (< fixnum-min (- fixnum-min 1))))) | |
| 2423 | ||
| 2424 | (with-test-prefix "(< (- fixnum-min 1) n)" | |
| 2425 | ||
| 2426 | (pass-if "n = 0" | |
| 2427 | (< (- fixnum-min 1) 0)) | |
| 2428 | ||
| 2429 | (pass-if "n = 0.0" | |
| 2430 | (< (- fixnum-min 1) 0.0)) | |
| 2431 | ||
| 2432 | (pass-if "n = 1" | |
| 2433 | (< (- fixnum-min 1) 1)) | |
| 2434 | ||
| 2435 | (pass-if "n = 1.0" | |
| 2436 | (< (- fixnum-min 1) 1.0)) | |
| de142bea DH |
2437 | |
| 2438 | (pass-if "n = -1" | |
| 21e39e8f | 2439 | (< (- fixnum-min 1) -1)) |
| de142bea DH |
2440 | |
| 2441 | (pass-if "n = -1.0" | |
| 21e39e8f DH |
2442 | (< (- fixnum-min 1) -1.0)) |
| 2443 | ||
| 2444 | (pass-if "n = fixnum-max" | |
| 2445 | (< (- fixnum-min 1) fixnum-max)) | |
| 2446 | ||
| 2447 | (pass-if "n = fixnum-max + 1" | |
| 2448 | (< (- fixnum-min 1) (+ fixnum-max 1))) | |
| 2449 | ||
| 2450 | (pass-if "n = fixnum-min" | |
| 2451 | (< (- fixnum-min 1) fixnum-min)) | |
| 2452 | ||
| 2453 | (pass-if "n = fixnum-min - 1" | |
| 2cfcaed5 KR |
2454 | (not (< (- fixnum-min 1) (- fixnum-min 1))))) |
| 2455 | ||
| adda36ed KR |
2456 | (pass-if (< (ash 1 256) +inf.0)) |
| 2457 | (pass-if (not (< +inf.0 (ash 1 256)))) | |
| 2458 | (pass-if (not (< (ash 1 256) -inf.0))) | |
| 2459 | (pass-if (< -inf.0 (ash 1 256))) | |
| 2460 | ||
| 2461 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 2462 | ;; sure we've avoided that | |
| 2463 | (pass-if (< (1- (ash 1 1024)) +inf.0)) | |
| 2464 | (pass-if (< (ash 1 1024) +inf.0)) | |
| 2465 | (pass-if (< (1+ (ash 1 1024)) +inf.0)) | |
| 2466 | (pass-if (not (< +inf.0 (1- (ash 1 1024))))) | |
| 2467 | (pass-if (not (< +inf.0 (ash 1 1024)))) | |
| 2468 | (pass-if (not (< +inf.0 (1+ (ash 1 1024))))) | |
| 2469 | (pass-if (< -inf.0 (- (1- (ash 1 1024))))) | |
| 2470 | (pass-if (< -inf.0 (- (ash 1 1024)))) | |
| 2471 | (pass-if (< -inf.0 (- (1+ (ash 1 1024))))) | |
| 2472 | (pass-if (not (< (- (1- (ash 1 1024))) -inf.0))) | |
| 2473 | (pass-if (not (< (- (ash 1 1024)) -inf.0))) | |
| 2474 | (pass-if (not (< (- (1+ (ash 1 1024))) -inf.0))) | |
| 2475 | ||
| 2cfcaed5 KR |
2476 | (pass-if (not (< +nan.0 +nan.0))) |
| 2477 | (pass-if (not (< 0 +nan.0))) | |
| 2478 | (pass-if (not (< +nan.0 0))) | |
| 2479 | (pass-if (not (< 1 +nan.0))) | |
| 2480 | (pass-if (not (< +nan.0 1))) | |
| 2481 | (pass-if (not (< -1 +nan.0))) | |
| 2482 | (pass-if (not (< +nan.0 -1))) | |
| 2483 | ||
| 2484 | (pass-if (not (< (ash 1 256) +nan.0))) | |
| 2485 | (pass-if (not (< +nan.0 (ash 1 256)))) | |
| 2486 | (pass-if (not (< (- (ash 1 256)) +nan.0))) | |
| 2487 | (pass-if (not (< +nan.0 (- (ash 1 256))))) | |
| 2488 | ||
| 2489 | (pass-if (not (< (ash 1 8192) +nan.0))) | |
| 2490 | (pass-if (not (< +nan.0 (ash 1 8192)))) | |
| 2491 | (pass-if (not (< (- (ash 1 8192)) +nan.0))) | |
| 2492 | (pass-if (not (< +nan.0 (- (ash 1 8192))))) | |
| 2493 | ||
| 2494 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 2495 | ;; sure we've avoided that | |
| 2496 | (pass-if (not (< (ash 3 1023) +nan.0))) | |
| 2497 | (pass-if (not (< (1+ (ash 3 1023)) +nan.0))) | |
| 2498 | (pass-if (not (< (1- (ash 3 1023)) +nan.0))) | |
| 2499 | (pass-if (not (< +nan.0 (ash 3 1023)))) | |
| 2500 | (pass-if (not (< +nan.0 (1+ (ash 3 1023))))) | |
| fe89421e KR |
2501 | (pass-if (not (< +nan.0 (1- (ash 3 1023))))) |
| 2502 | ||
| 2503 | (with-test-prefix "inum/frac" | |
| 2504 | (pass-if (< 2 9/4)) | |
| 2505 | (pass-if (< -2 9/4)) | |
| 2506 | (pass-if (< -2 7/4)) | |
| 2507 | (pass-if (< -2 -7/4)) | |
| 2508 | (pass-if (eq? #f (< 2 7/4))) | |
| 2509 | (pass-if (eq? #f (< 2 -7/4))) | |
| 2510 | (pass-if (eq? #f (< 2 -9/4))) | |
| 2511 | (pass-if (eq? #f (< -2 -9/4)))) | |
| 2512 | ||
| 2513 | (with-test-prefix "bignum/frac" | |
| 2514 | (let ((x (ash 1 2048))) | |
| 2515 | (pass-if (< x (* 4/3 x))) | |
| 2516 | (pass-if (< (- x) (* 4/3 x))) | |
| 2517 | (pass-if (< (- x) (* 2/3 x))) | |
| 2518 | (pass-if (< (- x) (* -2/3 x))) | |
| 2519 | (pass-if (eq? #f (< x (* 2/3 x)))) | |
| 2520 | (pass-if (eq? #f (< x (* -2/3 x)))) | |
| 2521 | (pass-if (eq? #f (< x (* -4/3 x)))) | |
| 2522 | (pass-if (eq? #f (< (- x) (* -4/3 x)))))) | |
| 2523 | ||
| 95ed2217 MW |
2524 | (with-test-prefix "inum/flonum" |
| 2525 | (pass-if (< 4 4.5)) | |
| 2526 | (pass-if (< 4.5 5)) | |
| 2527 | (pass-if (< -5 -4.5)) | |
| 2528 | (pass-if (< -4.5 4)) | |
| 2529 | (pass-if (not (< 4.5 4))) | |
| 2530 | (pass-if (not (< 5 4.5))) | |
| 2531 | (pass-if (not (< -4.5 -5))) | |
| 2532 | (pass-if (not (< 4 -4.5))) | |
| 2533 | ||
| 2534 | (pass-if (< 4 +inf.0)) | |
| 2535 | (pass-if (< -4 +inf.0)) | |
| 2536 | (pass-if (< -inf.0 4)) | |
| 2537 | (pass-if (< -inf.0 -4)) | |
| 2538 | (pass-if (not (< +inf.0 4))) | |
| 2539 | (pass-if (not (< +inf.0 -4))) | |
| 2540 | (pass-if (not (< 4 -inf.0))) | |
| 2541 | (pass-if (not (< -4 -inf.0))) | |
| 2542 | ||
| 2543 | (pass-if (not (< +nan.0 4))) | |
| 2544 | (pass-if (not (< +nan.0 -4))) | |
| 2545 | (pass-if (not (< 4 +nan.0))) | |
| 2546 | (pass-if (not (< -4 +nan.0))) | |
| 2547 | ||
| 2548 | (pass-if (< most-positive-fixnum (expt 2.0 fixnum-bit))) | |
| 2549 | (pass-if (not (< (expt 2.0 fixnum-bit) most-positive-fixnum))) | |
| 2550 | ||
| 2551 | (pass-if (< (- (expt 2.0 fixnum-bit)) most-negative-fixnum)) | |
| 2552 | (pass-if (not (< most-negative-fixnum (- (expt 2.0 fixnum-bit))))) | |
| 2553 | ||
| 2554 | ;; Prior to guile 2.0.10, we would unconditionally convert the inum | |
| 2555 | ;; to a double, which on a 64-bit system could result in a | |
| 2556 | ;; significant change in its value, thus corrupting the comparison. | |
| 284859c2 MW |
2557 | (pass-if (< most-positive-fixnum (exact->inexact (+ 1 most-positive-fixnum)))) |
| 2558 | (pass-if (< (exact->inexact (- (+ 1 most-positive-fixnum))) (- most-positive-fixnum)))) | |
| 95ed2217 | 2559 | |
| fe89421e KR |
2560 | (with-test-prefix "flonum/frac" |
| 2561 | (pass-if (< 0.75 4/3)) | |
| 2562 | (pass-if (< -0.75 4/3)) | |
| 2563 | (pass-if (< -0.75 2/3)) | |
| 2564 | (pass-if (< -0.75 -2/3)) | |
| 2565 | (pass-if (eq? #f (< 0.75 2/3))) | |
| 2566 | (pass-if (eq? #f (< 0.75 -2/3))) | |
| 2567 | (pass-if (eq? #f (< 0.75 -4/3))) | |
| 2568 | (pass-if (eq? #f (< -0.75 -4/3))) | |
| 2569 | ||
| 2570 | (pass-if (< -inf.0 4/3)) | |
| 2571 | (pass-if (< -inf.0 -4/3)) | |
| 2572 | (pass-if (eq? #f (< +inf.0 4/3))) | |
| 2573 | (pass-if (eq? #f (< +inf.0 -4/3))) | |
| 2574 | ||
| 2575 | (pass-if (eq? #f (< +nan.0 4/3))) | |
| 2576 | (pass-if (eq? #f (< +nan.0 -4/3)))) | |
| 2577 | ||
| 2578 | (with-test-prefix "frac/inum" | |
| 2579 | (pass-if (< 7/4 2)) | |
| 2580 | (pass-if (< -7/4 2)) | |
| 2581 | (pass-if (< -9/4 2)) | |
| 2582 | (pass-if (< -9/4 -2)) | |
| 2583 | (pass-if (eq? #f (< 9/4 2))) | |
| 2584 | (pass-if (eq? #f (< 9/4 -2))) | |
| 2585 | (pass-if (eq? #f (< 7/4 -2))) | |
| 2586 | (pass-if (eq? #f (< -7/4 -2)))) | |
| 2587 | ||
| 2588 | (with-test-prefix "frac/bignum" | |
| 2589 | (let ((x (ash 1 2048))) | |
| 2590 | (pass-if (< (* 2/3 x) x)) | |
| 2591 | (pass-if (< (* -2/3 x) x)) | |
| 2592 | (pass-if (< (* -4/3 x) x)) | |
| 2593 | (pass-if (< (* -4/3 x) (- x))) | |
| 2594 | (pass-if (eq? #f (< (* 4/3 x) x))) | |
| 2595 | (pass-if (eq? #f (< (* 4/3 x) (- x)))) | |
| 2596 | (pass-if (eq? #f (< (* 2/3 x) (- x)))) | |
| 2597 | (pass-if (eq? #f (< (* -2/3 x) (- x)))))) | |
| 2598 | ||
| 2599 | (with-test-prefix "frac/flonum" | |
| 2600 | (pass-if (< 2/3 0.75)) | |
| 2601 | (pass-if (< -2/3 0.75)) | |
| 2602 | (pass-if (< -4/3 0.75)) | |
| 2603 | (pass-if (< -4/3 -0.75)) | |
| 2604 | (pass-if (eq? #f (< 4/3 0.75))) | |
| 2605 | (pass-if (eq? #f (< 4/3 -0.75))) | |
| 2606 | (pass-if (eq? #f (< 2/3 -0.75))) | |
| 2607 | (pass-if (eq? #f (< -2/3 -0.75))) | |
| 2608 | ||
| 2609 | (pass-if (< 4/3 +inf.0)) | |
| 2610 | (pass-if (< -4/3 +inf.0)) | |
| 2611 | (pass-if (eq? #f (< 4/3 -inf.0))) | |
| 2612 | (pass-if (eq? #f (< -4/3 -inf.0))) | |
| 2613 | ||
| 2614 | (pass-if (eq? #f (< 4/3 +nan.0))) | |
| 2615 | (pass-if (eq? #f (< -4/3 +nan.0)))) | |
| 2616 | ||
| 2617 | (with-test-prefix "frac/frac" | |
| 2618 | (pass-if (< 2/3 6/7)) | |
| 2619 | (pass-if (< -2/3 6/7)) | |
| 2620 | (pass-if (< -4/3 6/7)) | |
| 2621 | (pass-if (< -4/3 -6/7)) | |
| 2622 | (pass-if (eq? #f (< 4/3 6/7))) | |
| 2623 | (pass-if (eq? #f (< 4/3 -6/7))) | |
| 2624 | (pass-if (eq? #f (< 2/3 -6/7))) | |
| 2625 | (pass-if (eq? #f (< -2/3 -6/7))))) | |
| f29b3454 DH |
2626 | |
| 2627 | ;;; | |
| 2628 | ;;; > | |
| 2629 | ;;; | |
| 2630 | ||
| 7c24e528 RB |
2631 | ;; currently not tested -- implementation is trivial |
| 2632 | ;; (> x y) is implemented as (< y x) | |
| 2633 | ;; FIXME: tests should probably be added in case we change implementation. | |
| 2634 | ||
| f29b3454 DH |
2635 | ;;; |
| 2636 | ;;; <= | |
| 2637 | ;;; | |
| 2638 | ||
| 7c24e528 RB |
2639 | ;; currently not tested -- implementation is trivial |
| 2640 | ;; (<= x y) is implemented as (not (< y x)) | |
| 2641 | ;; FIXME: tests should probably be added in case we change implementation. | |
| 2642 | ||
| f29b3454 DH |
2643 | ;;; |
| 2644 | ;;; >= | |
| 2645 | ;;; | |
| 2646 | ||
| 7c24e528 RB |
2647 | ;; currently not tested -- implementation is trivial |
| 2648 | ;; (>= x y) is implemented as (not (< x y)) | |
| 2649 | ;; FIXME: tests should probably be added in case we change implementation. | |
| 2650 | ||
| f29b3454 DH |
2651 | ;;; |
| 2652 | ;;; zero? | |
| 2653 | ;;; | |
| 2654 | ||
| 7c24e528 | 2655 | (with-test-prefix "zero?" |
| 2519490c | 2656 | (pass-if (documented? zero?)) |
| c7218482 MW |
2657 | |
| 2658 | (pass-if (zero? 0)) | |
| 2659 | (pass-if (zero? 0.0)) | |
| 2660 | (pass-if (zero? -0.0)) | |
| 2661 | ||
| 2662 | (pass-if (zero? 0.0+0.0i)) | |
| 2663 | (pass-if (zero? 0.0-0.0i)) | |
| 2664 | (pass-if (zero? 0.0+0.0i)) | |
| 2665 | (pass-if (zero? -0.0-0.0i)) | |
| 2666 | ||
| 2667 | (pass-if (not (zero? 7))) | |
| 4d332f19 | 2668 | (pass-if (not (zero? -7))) |
| c7218482 MW |
2669 | (pass-if (not (zero? 1/7))) |
| 2670 | (pass-if (not (zero? -inf.0))) | |
| 2671 | (pass-if (not (zero? +inf.0))) | |
| 2672 | (pass-if (not (zero? +nan.0))) | |
| 4d332f19 DH |
2673 | (pass-if (not (zero? (+ 1 fixnum-max)))) |
| 2674 | (pass-if (not (zero? (- 1 fixnum-min)))) | |
| 2675 | (pass-if (not (zero? 1.3))) | |
| c7218482 MW |
2676 | (pass-if (not (zero? 3.1+4.2i))) |
| 2677 | (pass-if (not (zero? 1.0+0.0i))) | |
| 2678 | (pass-if (not (zero? 0.0-1.0i)))) | |
| 7c24e528 | 2679 | |
| f29b3454 DH |
2680 | ;;; |
| 2681 | ;;; positive? | |
| 2682 | ;;; | |
| 2683 | ||
| 7c24e528 | 2684 | (with-test-prefix "positive?" |
| 2519490c | 2685 | (pass-if (documented? positive?)) |
| 7c24e528 RB |
2686 | (pass-if (positive? 1)) |
| 2687 | (pass-if (positive? (+ fixnum-max 1))) | |
| 2688 | (pass-if (positive? 1.3)) | |
| 4d332f19 DH |
2689 | (pass-if (not (positive? 0))) |
| 2690 | (pass-if (not (positive? -1))) | |
| 2691 | (pass-if (not (positive? (- fixnum-min 1)))) | |
| 2692 | (pass-if (not (positive? -1.3)))) | |
| 7c24e528 | 2693 | |
| f29b3454 DH |
2694 | ;;; |
| 2695 | ;;; negative? | |
| 2696 | ;;; | |
| 2697 | ||
| 7c24e528 | 2698 | (with-test-prefix "negative?" |
| 2519490c | 2699 | (pass-if (documented? negative?)) |
| 4d332f19 DH |
2700 | (pass-if (not (negative? 1))) |
| 2701 | (pass-if (not (negative? (+ fixnum-max 1)))) | |
| 2702 | (pass-if (not (negative? 1.3))) | |
| 2703 | (pass-if (not (negative? 0))) | |
| 7c24e528 RB |
2704 | (pass-if (negative? -1)) |
| 2705 | (pass-if (negative? (- fixnum-min 1))) | |
| 2706 | (pass-if (negative? -1.3))) | |
| 2707 | ||
| f29b3454 DH |
2708 | ;;; |
| 2709 | ;;; max | |
| 2710 | ;;; | |
| 2711 | ||
| adda36ed | 2712 | (with-test-prefix "max" |
| 593a4c2f KR |
2713 | (pass-if-exception "no args" exception:wrong-num-args |
| 2714 | (max)) | |
| 2715 | ||
| 2716 | (pass-if-exception "one complex" exception:wrong-type-arg | |
| 2717 | (max 1+i)) | |
| 2718 | ||
| 2719 | (pass-if-exception "inum/complex" exception:wrong-type-arg | |
| 2720 | (max 123 1+i)) | |
| 2721 | (pass-if-exception "big/complex" exception:wrong-type-arg | |
| 2722 | (max 9999999999999999999999999999999999999999 1+i)) | |
| 2723 | (pass-if-exception "real/complex" exception:wrong-type-arg | |
| 2724 | (max 123.0 1+i)) | |
| 2725 | (pass-if-exception "frac/complex" exception:wrong-type-arg | |
| 2726 | (max 123/456 1+i)) | |
| 2727 | ||
| 2728 | (pass-if-exception "complex/inum" exception:wrong-type-arg | |
| 2729 | (max 1+i 123)) | |
| 2730 | (pass-if-exception "complex/big" exception:wrong-type-arg | |
| 2731 | (max 1+i 9999999999999999999999999999999999999999)) | |
| 2732 | (pass-if-exception "complex/real" exception:wrong-type-arg | |
| 2733 | (max 1+i 123.0)) | |
| 2734 | (pass-if-exception "complex/frac" exception:wrong-type-arg | |
| 2735 | (max 1+i 123/456)) | |
| 2736 | ||
| adda36ed KR |
2737 | (let ((big*2 (* fixnum-max 2)) |
| 2738 | (big*3 (* fixnum-max 3)) | |
| 2739 | (big*4 (* fixnum-max 4)) | |
| 2740 | (big*5 (* fixnum-max 5))) | |
| 501da403 | 2741 | |
| 2530518e | 2742 | (with-test-prefix "inum / frac" |
| 2e274311 MW |
2743 | (pass-if (eqv? 3 (max 3 5/2))) |
| 2744 | (pass-if (eqv? 5/2 (max 2 5/2)))) | |
| 2530518e KR |
2745 | |
| 2746 | (with-test-prefix "frac / inum" | |
| 2e274311 MW |
2747 | (pass-if (eqv? 3 (max 5/2 3))) |
| 2748 | (pass-if (eqv? 5/2 (max 5/2 2)))) | |
| 2749 | ||
| 2750 | (with-test-prefix "infinities and NaNs" | |
| b4c55c9c | 2751 | ;; +inf.0 beats everything except NaNs |
| 2e274311 MW |
2752 | (pass-if (eqv? +inf.0 (max +inf.0 123 ))) |
| 2753 | (pass-if (eqv? +inf.0 (max 123 +inf.0 ))) | |
| 2754 | (pass-if (eqv? +inf.0 (max +inf.0 -123.3 ))) | |
| 2755 | (pass-if (eqv? +inf.0 (max -123.3 +inf.0 ))) | |
| 2756 | (pass-if (eqv? +inf.0 (max +inf.0 -7/2 ))) | |
| 2757 | (pass-if (eqv? +inf.0 (max -7/2 +inf.0 ))) | |
| 2758 | (pass-if (eqv? +inf.0 (max +inf.0 -1e20 ))) | |
| 2759 | (pass-if (eqv? +inf.0 (max -1e20 +inf.0 ))) | |
| 2760 | (pass-if (eqv? +inf.0 (max +inf.0 (- big*2)))) | |
| 2761 | (pass-if (eqv? +inf.0 (max (- big*2) +inf.0 ))) | |
| 2762 | (pass-if (eqv? +inf.0 (max +inf.0 +inf.0 ))) | |
| 2763 | (pass-if (eqv? +inf.0 (max +inf.0 +inf.0 ))) | |
| 2e274311 MW |
2764 | (pass-if (eqv? +inf.0 (max +inf.0 +inf.0 ))) |
| 2765 | ||
| b4c55c9c | 2766 | ;; NaNs beat everything |
| 2e274311 MW |
2767 | (pass-if (real-nan? (max +nan.0 123 ))) |
| 2768 | (pass-if (real-nan? (max 123 +nan.0 ))) | |
| 2769 | (pass-if (real-nan? (max +nan.0 123.3 ))) | |
| 2770 | (pass-if (real-nan? (max 123.3 +nan.0 ))) | |
| 2771 | (pass-if (real-nan? (max +nan.0 -7/2 ))) | |
| 2772 | (pass-if (real-nan? (max -7/2 +nan.0 ))) | |
| 2773 | (pass-if (real-nan? (max +nan.0 -1e20 ))) | |
| 2774 | (pass-if (real-nan? (max -1e20 +nan.0 ))) | |
| 2775 | (pass-if (real-nan? (max +nan.0 (- big*2)))) | |
| 2776 | (pass-if (real-nan? (max (- big*2) +nan.0 ))) | |
| 2777 | (pass-if (real-nan? (max +nan.0 -inf.0 ))) | |
| 2778 | (pass-if (real-nan? (max -inf.0 +nan.0 ))) | |
| 2779 | (pass-if (real-nan? (max +nan.0 +nan.0 ))) | |
| b4c55c9c MW |
2780 | (pass-if (real-nan? (max +inf.0 +nan.0 ))) |
| 2781 | (pass-if (real-nan? (max +nan.0 +inf.0 ))) | |
| 2e274311 MW |
2782 | |
| 2783 | ;; -inf.0 always loses, except against itself | |
| 2784 | (pass-if (eqv? -inf.0 (max -inf.0 -inf.0 ))) | |
| 2785 | (pass-if (eqv? -123.0 (max -inf.0 -123 ))) | |
| 2786 | (pass-if (eqv? -123.0 (max -123 -inf.0 ))) | |
| 2787 | (pass-if (eqv? -123.3 (max -inf.0 -123.3 ))) | |
| 2788 | (pass-if (eqv? -123.3 (max -123.3 -inf.0 ))) | |
| 2789 | (pass-if (eqv? -3.5 (max -inf.0 -7/2 ))) | |
| 2790 | (pass-if (eqv? -3.5 (max -7/2 -inf.0 ))) | |
| 2791 | (pass-if (eqv? -1.0e20 (max -inf.0 -1e20 ))) | |
| 2792 | (pass-if (eqv? -1.0e20 (max -1e20 -inf.0 ))) | |
| 2793 | (pass-if (eqv? (exact->inexact (- big*2)) | |
| 2794 | (max -inf.0 (- big*2)))) | |
| 2795 | (pass-if (eqv? (exact->inexact (- big*2)) | |
| 2796 | (max (- big*2) -inf.0 )))) | |
| 2797 | ||
| 2798 | (with-test-prefix "signed zeroes" | |
| 2799 | (pass-if (eqv? 0.0 (max 0.0 0.0))) | |
| 2800 | (pass-if (eqv? 0.0 (max 0.0 -0.0))) | |
| 2801 | (pass-if (eqv? 0.0 (max -0.0 0.0))) | |
| 2802 | (pass-if (eqv? -0.0 (max -0.0 -0.0))) | |
| 2803 | (pass-if (eqv? 0.0 (max -0.0 0 ))) | |
| 2804 | (pass-if (eqv? 0.0 (max 0.0 0 ))) | |
| 2805 | (pass-if (eqv? 0.0 (max 0 -0.0))) | |
| 2806 | (pass-if (eqv? 0.0 (max 0 0.0))) | |
| 2807 | (pass-if (eqv? 0 (min 0 0 )))) | |
| 23d77957 | 2808 | |
| 2530518e | 2809 | (with-test-prefix "big / frac" |
| 2e274311 MW |
2810 | (pass-if (eqv? big*2 (max big*2 5/2))) |
| 2811 | (pass-if (eqv? 5/2 (max (- big*2) 5/2)))) | |
| 2530518e KR |
2812 | |
| 2813 | (with-test-prefix "frac / big" | |
| 2e274311 MW |
2814 | (pass-if (eqv? big*2 (max 5/2 big*2))) |
| 2815 | (pass-if (eqv? 5/2 (max 5/2 (- big*2))))) | |
| 2530518e | 2816 | |
| 23d77957 | 2817 | (with-test-prefix "big / real" |
| 55a8b708 | 2818 | (pass-if (real-nan? (max big*5 +nan.0))) |
| 23d72566 KR |
2819 | (pass-if (eqv? (exact->inexact big*5) (max big*5 -inf.0))) |
| 2820 | (pass-if (eqv? (exact->inexact big*5) (max big*5 1.0))) | |
| 2821 | (pass-if (eqv? +inf.0 (max big*5 +inf.0))) | |
| 2822 | (pass-if (eqv? 1.0 (max (- big*5) 1.0)))) | |
| 23d77957 KR |
2823 | |
| 2824 | (with-test-prefix "real / big" | |
| 55a8b708 | 2825 | (pass-if (real-nan? (max +nan.0 big*5))) |
| 23d72566 KR |
2826 | (pass-if (eqv? (exact->inexact big*5) (max -inf.0 big*5))) |
| 2827 | (pass-if (eqv? (exact->inexact big*5) (max 1.0 big*5))) | |
| 2828 | (pass-if (eqv? +inf.0 (max +inf.0 big*5))) | |
| 2829 | (pass-if (eqv? 1.0 (max 1.0 (- big*5))))) | |
| 23d77957 | 2830 | |
| 2530518e | 2831 | (with-test-prefix "frac / frac" |
| 2e274311 MW |
2832 | (pass-if (eqv? 2/3 (max 1/2 2/3))) |
| 2833 | (pass-if (eqv? 2/3 (max 2/3 1/2))) | |
| 2834 | (pass-if (eqv? -1/2 (max -1/2 -2/3))) | |
| 2835 | (pass-if (eqv? -1/2 (max -2/3 -1/2)))) | |
| 2530518e | 2836 | |
| 23d77957 | 2837 | (with-test-prefix "real / real" |
| 55a8b708 MW |
2838 | (pass-if (real-nan? (max 123.0 +nan.0))) |
| 2839 | (pass-if (real-nan? (max +nan.0 123.0))) | |
| 2840 | (pass-if (real-nan? (max +nan.0 +nan.0))) | |
| 2e274311 MW |
2841 | (pass-if (eqv? 456.0 (max 123.0 456.0))) |
| 2842 | (pass-if (eqv? 456.0 (max 456.0 123.0))))) | |
| adda36ed KR |
2843 | |
| 2844 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make | |
| 2845 | ;; sure we've avoided that | |
| 2846 | (for-each (lambda (b) | |
| 2847 | (pass-if (list b +inf.0) | |
| 2e274311 | 2848 | (eqv? +inf.0 (max b +inf.0))) |
| adda36ed | 2849 | (pass-if (list +inf.0 b) |
| 2e274311 | 2850 | (eqv? +inf.0 (max b +inf.0))) |
| adda36ed | 2851 | (pass-if (list b -inf.0) |
| 2e274311 | 2852 | (eqv? (exact->inexact b) (max b -inf.0))) |
| adda36ed | 2853 | (pass-if (list -inf.0 b) |
| 2e274311 | 2854 | (eqv? (exact->inexact b) (max b -inf.0)))) |
| adda36ed KR |
2855 | (list (1- (ash 1 1024)) |
| 2856 | (ash 1 1024) | |
| 2857 | (1+ (ash 1 1024)) | |
| 2858 | (- (1- (ash 1 1024))) | |
| 2859 | (- (ash 1 1024)) | |
| 501da403 KR |
2860 | (- (1+ (ash 1 1024))))) |
| 2861 | ||
| 2862 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 2863 | ;; sure we've avoided that | |
| 55a8b708 MW |
2864 | (pass-if (real-nan? (max (ash 1 2048) +nan.0))) |
| 2865 | (pass-if (real-nan? (max +nan.0 (ash 1 2048))))) | |
| adda36ed | 2866 | |
| f29b3454 DH |
2867 | ;;; |
| 2868 | ;;; min | |
| 2869 | ;;; | |
| 2870 | ||
| 7c24e528 RB |
2871 | ;; FIXME: unfinished... |
| 2872 | ||
| 2873 | (with-test-prefix "min" | |
| 593a4c2f KR |
2874 | (pass-if-exception "no args" exception:wrong-num-args |
| 2875 | (min)) | |
| 2876 | ||
| 2877 | (pass-if-exception "one complex" exception:wrong-type-arg | |
| 2878 | (min 1+i)) | |
| 2879 | ||
| 2880 | (pass-if-exception "inum/complex" exception:wrong-type-arg | |
| 2881 | (min 123 1+i)) | |
| 2882 | (pass-if-exception "big/complex" exception:wrong-type-arg | |
| 2883 | (min 9999999999999999999999999999999999999999 1+i)) | |
| 2884 | (pass-if-exception "real/complex" exception:wrong-type-arg | |
| 2885 | (min 123.0 1+i)) | |
| 2886 | (pass-if-exception "frac/complex" exception:wrong-type-arg | |
| 2887 | (min 123/456 1+i)) | |
| 2888 | ||
| 2889 | (pass-if-exception "complex/inum" exception:wrong-type-arg | |
| 2890 | (min 1+i 123)) | |
| 2891 | (pass-if-exception "complex/big" exception:wrong-type-arg | |
| 2892 | (min 1+i 9999999999999999999999999999999999999999)) | |
| 2893 | (pass-if-exception "complex/real" exception:wrong-type-arg | |
| 2894 | (min 1+i 123.0)) | |
| 2895 | (pass-if-exception "complex/frac" exception:wrong-type-arg | |
| 2896 | (min 1+i 123/456)) | |
| 2897 | ||
| 7c24e528 RB |
2898 | (let ((big*2 (* fixnum-max 2)) |
| 2899 | (big*3 (* fixnum-max 3)) | |
| 2900 | (big*4 (* fixnum-max 4)) | |
| 2901 | (big*5 (* fixnum-max 5))) | |
| 23d77957 | 2902 | |
| d389e966 | 2903 | (pass-if (documented? min)) |
| 2e274311 MW |
2904 | (pass-if (eqv? 1 (min 7 3 1 5))) |
| 2905 | (pass-if (eqv? 1 (min 1 7 3 5))) | |
| 2906 | (pass-if (eqv? 1 (min 7 3 5 1))) | |
| 2907 | (pass-if (eqv? -7 (min 2 3 4 -2 5 -7 1 -1 4 2))) | |
| 2908 | (pass-if (eqv? -7 (min -7 2 3 4 -2 5 1 -1 4 2))) | |
| 2909 | (pass-if (eqv? -7 (min 2 3 4 -2 5 1 -1 4 2 -7))) | |
| 2910 | (pass-if (eqv? big*2 (min big*3 big*5 big*2 big*4))) | |
| 2911 | (pass-if (eqv? big*2 (min big*2 big*3 big*5 big*4))) | |
| 2912 | (pass-if (eqv? big*2 (min big*3 big*5 big*4 big*2))) | |
| 7c24e528 | 2913 | (pass-if |
| 2e274311 | 2914 | (eqv? (- fixnum-min 1) (min 2 4 (- fixnum-min 1) 3 (* 2 fixnum-max)))) |
| 7c24e528 | 2915 | (pass-if |
| 2e274311 | 2916 | (eqv? (- fixnum-min 1) (min (- fixnum-min 1) 2 4 3 (* 2 fixnum-max)))) |
| 7c24e528 | 2917 | (pass-if |
| 2e274311 | 2918 | (eqv? (- fixnum-min 1) (min 2 4 3 (* 2 fixnum-max) (- fixnum-min 1)))) |
| 23d77957 | 2919 | |
| 2530518e | 2920 | (with-test-prefix "inum / frac" |
| 2e274311 MW |
2921 | (pass-if (eqv? 5/2 (min 3 5/2))) |
| 2922 | (pass-if (eqv? 2 (min 2 5/2)))) | |
| 2530518e KR |
2923 | |
| 2924 | (with-test-prefix "frac / inum" | |
| 2e274311 MW |
2925 | (pass-if (eqv? 5/2 (min 5/2 3))) |
| 2926 | (pass-if (eqv? 2 (min 5/2 2)))) | |
| 2927 | ||
| 2928 | (with-test-prefix "infinities and NaNs" | |
| b4c55c9c | 2929 | ;; -inf.0 beats everything except NaNs |
| 2e274311 MW |
2930 | (pass-if (eqv? -inf.0 (min -inf.0 123 ))) |
| 2931 | (pass-if (eqv? -inf.0 (min 123 -inf.0 ))) | |
| 2932 | (pass-if (eqv? -inf.0 (min -inf.0 -123.3 ))) | |
| 2933 | (pass-if (eqv? -inf.0 (min -123.3 -inf.0 ))) | |
| 2934 | (pass-if (eqv? -inf.0 (min -inf.0 -7/2 ))) | |
| 2935 | (pass-if (eqv? -inf.0 (min -7/2 -inf.0 ))) | |
| 2936 | (pass-if (eqv? -inf.0 (min -inf.0 -1e20 ))) | |
| 2937 | (pass-if (eqv? -inf.0 (min -1e20 -inf.0 ))) | |
| 2938 | (pass-if (eqv? -inf.0 (min -inf.0 (- big*2)))) | |
| 2939 | (pass-if (eqv? -inf.0 (min (- big*2) -inf.0 ))) | |
| 2940 | (pass-if (eqv? -inf.0 (min -inf.0 +inf.0 ))) | |
| 2941 | (pass-if (eqv? -inf.0 (min +inf.0 -inf.0 ))) | |
| 2e274311 MW |
2942 | (pass-if (eqv? -inf.0 (min -inf.0 -inf.0 ))) |
| 2943 | ||
| b4c55c9c | 2944 | ;; NaNs beat everything |
| 2e274311 MW |
2945 | (pass-if (real-nan? (min +nan.0 123 ))) |
| 2946 | (pass-if (real-nan? (min 123 +nan.0 ))) | |
| 2947 | (pass-if (real-nan? (min +nan.0 123.3 ))) | |
| 2948 | (pass-if (real-nan? (min 123.3 +nan.0 ))) | |
| 2949 | (pass-if (real-nan? (min +nan.0 -7/2 ))) | |
| 2950 | (pass-if (real-nan? (min -7/2 +nan.0 ))) | |
| 2951 | (pass-if (real-nan? (min +nan.0 -1e20 ))) | |
| 2952 | (pass-if (real-nan? (min -1e20 +nan.0 ))) | |
| 2953 | (pass-if (real-nan? (min +nan.0 (- big*2)))) | |
| 2954 | (pass-if (real-nan? (min (- big*2) +nan.0 ))) | |
| 2955 | (pass-if (real-nan? (min +nan.0 +inf.0 ))) | |
| 2956 | (pass-if (real-nan? (min +inf.0 +nan.0 ))) | |
| 2957 | (pass-if (real-nan? (min +nan.0 +nan.0 ))) | |
| b4c55c9c MW |
2958 | (pass-if (real-nan? (min -inf.0 +nan.0 ))) |
| 2959 | (pass-if (real-nan? (min +nan.0 -inf.0 ))) | |
| 2e274311 MW |
2960 | |
| 2961 | ;; +inf.0 always loses, except against itself | |
| 2962 | (pass-if (eqv? +inf.0 (min +inf.0 +inf.0 ))) | |
| 2963 | (pass-if (eqv? -123.0 (min +inf.0 -123 ))) | |
| 2964 | (pass-if (eqv? -123.0 (min -123 +inf.0 ))) | |
| 2965 | (pass-if (eqv? -123.3 (min +inf.0 -123.3 ))) | |
| 2966 | (pass-if (eqv? -123.3 (min -123.3 +inf.0 ))) | |
| 2967 | (pass-if (eqv? -3.5 (min +inf.0 -7/2 ))) | |
| 2968 | (pass-if (eqv? -3.5 (min -7/2 +inf.0 ))) | |
| 2969 | (pass-if (eqv? -1.0e20 (min +inf.0 -1e20 ))) | |
| 2970 | (pass-if (eqv? -1.0e20 (min -1e20 +inf.0 ))) | |
| 2971 | (pass-if (eqv? (exact->inexact (- big*2)) | |
| 2972 | (min +inf.0 (- big*2)))) | |
| 2973 | (pass-if (eqv? (exact->inexact (- big*2)) | |
| 2974 | (min (- big*2) +inf.0 )))) | |
| 2975 | ||
| 2976 | (with-test-prefix "signed zeroes" | |
| 2977 | (pass-if (eqv? 0.0 (min 0.0 0.0))) | |
| 2978 | (pass-if (eqv? -0.0 (min 0.0 -0.0))) | |
| 2979 | (pass-if (eqv? -0.0 (min -0.0 0.0))) | |
| 2980 | (pass-if (eqv? -0.0 (min -0.0 -0.0))) | |
| 2981 | (pass-if (eqv? -0.0 (min -0.0 0 ))) | |
| 2982 | (pass-if (eqv? 0.0 (min 0.0 0 ))) | |
| 2983 | (pass-if (eqv? -0.0 (min 0 -0.0))) | |
| 2984 | (pass-if (eqv? 0.0 (min 0 0.0))) | |
| 2985 | (pass-if (eqv? 0 (min 0 0 )))) | |
| 23d77957 | 2986 | |
| 2530518e | 2987 | (with-test-prefix "big / frac" |
| 2e274311 MW |
2988 | (pass-if (eqv? 5/2 (min big*2 5/2))) |
| 2989 | (pass-if (eqv? (- big*2) (min (- big*2) 5/2)))) | |
| 2530518e KR |
2990 | |
| 2991 | (with-test-prefix "frac / big" | |
| 2e274311 MW |
2992 | (pass-if (eqv? 5/2 (min 5/2 big*2))) |
| 2993 | (pass-if (eqv? (- big*2) (min 5/2 (- big*2))))) | |
| 2530518e | 2994 | |
| 23d77957 | 2995 | (with-test-prefix "big / real" |
| 55a8b708 | 2996 | (pass-if (real-nan? (min big*5 +nan.0))) |
| 23d72566 KR |
2997 | (pass-if (eqv? (exact->inexact big*5) (min big*5 +inf.0))) |
| 2998 | (pass-if (eqv? -inf.0 (min big*5 -inf.0))) | |
| 2999 | (pass-if (eqv? 1.0 (min big*5 1.0))) | |
| 3000 | (pass-if (eqv? (exact->inexact (- big*5)) (min (- big*5) 1.0)))) | |
| 23d77957 KR |
3001 | |
| 3002 | (with-test-prefix "real / big" | |
| 55a8b708 | 3003 | (pass-if (real-nan? (min +nan.0 big*5))) |
| 23d72566 KR |
3004 | (pass-if (eqv? (exact->inexact big*5) (min +inf.0 big*5))) |
| 3005 | (pass-if (eqv? -inf.0 (min -inf.0 big*5))) | |
| 3006 | (pass-if (eqv? 1.0 (min 1.0 big*5))) | |
| 3007 | (pass-if (eqv? (exact->inexact (- big*5)) (min 1.0 (- big*5))))) | |
| 23d77957 | 3008 | |
| 2530518e | 3009 | (with-test-prefix "frac / frac" |
| 2e274311 MW |
3010 | (pass-if (eqv? 1/2 (min 1/2 2/3))) |
| 3011 | (pass-if (eqv? 1/2 (min 2/3 1/2))) | |
| 3012 | (pass-if (eqv? -2/3 (min -1/2 -2/3))) | |
| 3013 | (pass-if (eqv? -2/3 (min -2/3 -1/2)))) | |
| 2530518e | 3014 | |
| 23d77957 | 3015 | (with-test-prefix "real / real" |
| 55a8b708 MW |
3016 | (pass-if (real-nan? (min 123.0 +nan.0))) |
| 3017 | (pass-if (real-nan? (min +nan.0 123.0))) | |
| 3018 | (pass-if (real-nan? (min +nan.0 +nan.0))) | |
| 2e274311 MW |
3019 | (pass-if (eqv? 123.0 (min 123.0 456.0))) |
| 3020 | (pass-if (eqv? 123.0 (min 456.0 123.0))))) | |
| 23d77957 KR |
3021 | |
| 3022 | ||
| adda36ed KR |
3023 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating Inf as 2^1024, make |
| 3024 | ;; sure we've avoided that | |
| 3025 | (for-each (lambda (b) | |
| 3026 | (pass-if (list b +inf.0) | |
| 2e274311 | 3027 | (eqv? (exact->inexact b) (min b +inf.0))) |
| adda36ed | 3028 | (pass-if (list +inf.0 b) |
| 2e274311 | 3029 | (eqv? (exact->inexact b) (min b +inf.0))) |
| adda36ed | 3030 | (pass-if (list b -inf.0) |
| 2e274311 | 3031 | (eqv? -inf.0 (min b -inf.0))) |
| adda36ed | 3032 | (pass-if (list -inf.0 b) |
| 2e274311 | 3033 | (eqv? -inf.0 (min b -inf.0)))) |
| adda36ed KR |
3034 | (list (1- (ash 1 1024)) |
| 3035 | (ash 1 1024) | |
| 3036 | (1+ (ash 1 1024)) | |
| 3037 | (- (1- (ash 1 1024))) | |
| 3038 | (- (ash 1 1024)) | |
| 501da403 KR |
3039 | (- (1+ (ash 1 1024))))) |
| 3040 | ||
| 3041 | ;; in gmp prior to 4.2, mpz_cmp_d ended up treating NaN as 3*2^1023, make | |
| 3042 | ;; sure we've avoided that | |
| 55a8b708 MW |
3043 | (pass-if (real-nan? (min (- (ash 1 2048)) (- +nan.0)))) |
| 3044 | (pass-if (real-nan? (min (- +nan.0) (- (ash 1 2048)))))) | |
| adda36ed | 3045 | |
| f29b3454 DH |
3046 | ;;; |
| 3047 | ;;; + | |
| 3048 | ;;; | |
| 3049 | ||
| 0c57673a | 3050 | (with-test-prefix/c&e "+" |
| f29b3454 | 3051 | |
| d389e966 | 3052 | (pass-if "documented?" |
| 0c57673a LC |
3053 | (documented? +)) |
| 3054 | ||
| c7218482 MW |
3055 | (pass-if "simple" |
| 3056 | (and (eqv? 7 (+ 3 4)) | |
| 3057 | (eqv? 3 (+ 3)) | |
| 3058 | (eqv? 0 (+)))) | |
| 3059 | ||
| 3060 | (pass-if "exactness propagation" | |
| 3061 | (and (eqv? 8 (+ 3 5)) | |
| 3062 | (eqv? 8.0 (+ 3 5.0)) | |
| 3063 | (eqv? 8.0 (+ 3.0 5)) | |
| 3064 | (eqv? 8.0 (+ 3.0 5.0)) | |
| 3065 | ||
| 3066 | (eqv? 5/6 (+ 1/2 1/3)) | |
| 3067 | (eqv? 5.5 (+ 1/2 5.0)) | |
| 3068 | (eqv? 3.25 (+ 3.0 1/4)))) | |
| 3069 | ||
| 3070 | (pass-if "signed zeroes" | |
| 3071 | (and (eqv? 0.0 (+ 0.0)) | |
| 3072 | (eqv? -0.0 (+ -0.0)) | |
| 3073 | (eqv? 0.0 (+ 0.0 0.0)) | |
| 3074 | (eqv? 0.0 (+ 0.0 -0.0)) | |
| 3075 | (eqv? 0.0 (+ -0.0 0.0)) | |
| 3076 | (eqv? -0.0 (+ -0.0 -0.0)))) | |
| 3077 | ||
| 3078 | (pass-if "NaNs" | |
| 3079 | (and (real-nan? (+ +nan.0 +nan.0)) | |
| 3080 | (real-nan? (+ 0 +nan.0)) | |
| 3081 | (real-nan? (+ +nan.0 0)) | |
| 3082 | (real-nan? (+ 1 +nan.0)) | |
| 3083 | (real-nan? (+ +nan.0 1)) | |
| 3084 | (real-nan? (+ -1 +nan.0)) | |
| 3085 | (real-nan? (+ +nan.0 -1)) | |
| 3086 | (real-nan? (+ -7/2 +nan.0)) | |
| 3087 | (real-nan? (+ +nan.0 -7/2)) | |
| 3088 | (real-nan? (+ 1e20 +nan.0)) | |
| 3089 | (real-nan? (+ +nan.0 1e20)) | |
| 3090 | (real-nan? (+ +inf.0 +nan.0)) | |
| 3091 | (real-nan? (+ +nan.0 +inf.0)) | |
| 3092 | (real-nan? (+ -inf.0 +nan.0)) | |
| 3093 | (real-nan? (+ +nan.0 -inf.0)) | |
| 3094 | (real-nan? (+ (* fixnum-max 2) +nan.0)) | |
| 3095 | (real-nan? (+ +nan.0 (* fixnum-max 2))))) | |
| 3096 | ||
| 3097 | (pass-if "infinities" | |
| 3098 | (and (eqv? +inf.0 (+ +inf.0 +inf.0)) | |
| 3099 | (eqv? -inf.0 (+ -inf.0 -inf.0)) | |
| 3100 | (real-nan? (+ +inf.0 -inf.0)) | |
| 3101 | (real-nan? (+ -inf.0 +inf.0)))) | |
| 3102 | ||
| 0c57673a LC |
3103 | ;; The maximum fixnum on a 32-bit architecture: 2^29 - 1. |
| 3104 | (pass-if "fixnum + fixnum = bignum (32-bit)" | |
| 3105 | (eqv? 536870912 (+ 536870910 2))) | |
| 3106 | ||
| 3107 | ;; The maximum fixnum on a 64-bit architecture: 2^61 - 1. | |
| 3108 | (pass-if "fixnum + fixnum = bignum (64-bit)" | |
| 3109 | (eqv? 2305843009213693952 (+ 2305843009213693950 2))) | |
| 3110 | ||
| 3111 | (pass-if "bignum + fixnum = fixnum" | |
| 3112 | (eqv? 0 (+ (1+ most-positive-fixnum) most-negative-fixnum)))) | |
| f29b3454 | 3113 | |
| f29b3454 DH |
3114 | ;;; |
| 3115 | ;;; - | |
| 3116 | ;;; | |
| 3117 | ||
| 0c57673a | 3118 | (with-test-prefix/c&e "-" |
| 072e6de2 | 3119 | |
| b5c40589 MW |
3120 | (pass-if "double-negation of fixnum-min: =" |
| 3121 | (= fixnum-min (- (- fixnum-min)))) | |
| 3122 | (pass-if "double-negation of fixnum-min: eqv?" | |
| 3123 | (eqv? fixnum-min (- (- fixnum-min)))) | |
| 3124 | (pass-if "double-negation of fixnum-min: equal?" | |
| 3125 | (equal? fixnum-min (- (- fixnum-min)))) | |
| 3126 | ||
| 3127 | (pass-if "binary double-negation of fixnum-min: =" | |
| 3128 | (= fixnum-min (- 0 (- 0 fixnum-min)))) | |
| 3129 | (pass-if "binary double-negation of fixnum-min: eqv?" | |
| 3130 | (eqv? fixnum-min (- 0 (- 0 fixnum-min)))) | |
| 3131 | (pass-if "binary double-negation of fixnum-min: equal?" | |
| 3132 | (equal? fixnum-min (- 0 (- 0 fixnum-min)))) | |
| 3133 | ||
| 9b9ef10c MW |
3134 | (pass-if "signed zeroes" |
| 3135 | (and (eqv? +0.0 (- -0.0)) | |
| 3136 | (eqv? -0.0 (- +0.0)) | |
| 3137 | (eqv? 0.0 (- 0.0 0.0)) | |
| 3138 | (eqv? 0.0 (- 0.0 -0.0)) | |
| 3139 | (eqv? 0.0 (- -0.0 -0.0)) | |
| 3140 | (eqv? -0.0 (- -0.0 0.0)))) | |
| 3141 | ||
| 3142 | (pass-if "exactness propagation" | |
| 3143 | (and (eqv? 3 (- 8 5)) | |
| 3144 | (eqv? 3.0 (- 8 5.0)) | |
| 3145 | (eqv? 3.0 (- 8.0 5)) | |
| 3146 | (eqv? 3.0 (- 8.0 5.0)) | |
| 3147 | (eqv? -1/6 (- 1/3 1/2)) | |
| 3148 | (eqv? -4.5 (- 1/2 5.0)) | |
| 3149 | (eqv? 2.75 (- 3.0 1/4)))) | |
| 3150 | ||
| 3151 | (pass-if "infinities" | |
| 3152 | (and (eqv? +inf.0 (- +inf.0 -inf.0)) | |
| 3153 | (eqv? -inf.0 (- -inf.0 +inf.0)) | |
| 3154 | (real-nan? (- +inf.0 +inf.0)) | |
| 3155 | (real-nan? (- -inf.0 -inf.0)))) | |
| 3156 | ||
| 3157 | (pass-if "NaNs" | |
| 3158 | (and (real-nan? (- +nan.0 +nan.0)) | |
| 3159 | (real-nan? (- 0 +nan.0)) | |
| 3160 | (real-nan? (- +nan.0 0)) | |
| 3161 | (real-nan? (- 1 +nan.0)) | |
| 3162 | (real-nan? (- +nan.0 1)) | |
| 3163 | (real-nan? (- -1 +nan.0)) | |
| 3164 | (real-nan? (- +nan.0 -1)) | |
| 3165 | (real-nan? (- -7/2 +nan.0)) | |
| 3166 | (real-nan? (- +nan.0 -7/2)) | |
| 3167 | (real-nan? (- 1e20 +nan.0)) | |
| 3168 | (real-nan? (- +nan.0 1e20)) | |
| 3169 | (real-nan? (- +inf.0 +nan.0)) | |
| 3170 | (real-nan? (- +nan.0 +inf.0)) | |
| 3171 | (real-nan? (- -inf.0 +nan.0)) | |
| 3172 | (real-nan? (- +nan.0 -inf.0)) | |
| 3173 | (real-nan? (- (* fixnum-max 2) +nan.0)) | |
| 3174 | (real-nan? (- +nan.0 (* fixnum-max 2))))) | |
| 3175 | ||
| 3176 | (pass-if "(eqv? fixnum-min (- (- fixnum-min)))" | |
| 3177 | (eqv? fixnum-min (- (- fixnum-min)))) | |
| 3178 | (pass-if "(eqv? fixnum-min (- 0 (- 0 fixnum-min)))" | |
| 3179 | (eqv? fixnum-min (- 0 (- 0 fixnum-min)))) | |
| 3180 | (pass-if "(eqv? fixnum-num (apply - (list (apply - (list fixnum-min)))))" | |
| 3181 | (eqv? fixnum-min (apply - (list (apply - (list fixnum-min)))))) | |
| 3182 | ||
| 072e6de2 KR |
3183 | (pass-if "-inum - +bignum" |
| 3184 | (= #x-100000000000000000000000000000001 | |
| ef016629 KR |
3185 | (- -1 #x100000000000000000000000000000000))) |
| 3186 | ||
| 3187 | (pass-if "big - inum" | |
| 3188 | (= #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | |
| 3189 | (- #x100000000000000000000000000000000 1))) | |
| 3190 | ||
| 3191 | (pass-if "big - -inum" | |
| 3192 | (= #x100000000000000000000000000000001 | |
| 0c57673a LC |
3193 | (- #x100000000000000000000000000000000 -1))) |
| 3194 | ||
| 3195 | ;; The mininum fixnum on a 32-bit architecture: -2^29. | |
| 3196 | (pass-if "fixnum - fixnum = bignum (32-bit)" | |
| 3197 | (eqv? -536870912 (- -536870910 2))) | |
| 3198 | ||
| 3199 | ;; The minimum fixnum on a 64-bit architecture: -2^61. | |
| 3200 | (pass-if "fixnum - fixnum = bignum (64-bit)" | |
| 3201 | (eqv? -2305843009213693952 (- -2305843009213693950 2))) | |
| 3202 | ||
| 3203 | (pass-if "bignum - fixnum = fixnum" | |
| 3204 | (eqv? most-positive-fixnum (- (1+ most-positive-fixnum) 1)))) | |
| 072e6de2 | 3205 | |
| f29b3454 DH |
3206 | ;;; |
| 3207 | ;;; * | |
| 3208 | ;;; | |
| 3209 | ||
| 65ea251e KR |
3210 | (with-test-prefix "*" |
| 3211 | ||
| b5c40589 MW |
3212 | (with-test-prefix "double-negation of fixnum-min" |
| 3213 | (pass-if (= fixnum-min (* -1 (* -1 fixnum-min)))) | |
| 3214 | (pass-if (eqv? fixnum-min (* -1 (* -1 fixnum-min)))) | |
| 3215 | (pass-if (equal? fixnum-min (* -1 (* -1 fixnum-min)))) | |
| 3216 | (pass-if (= fixnum-min (* (* fixnum-min -1) -1))) | |
| 3217 | (pass-if (eqv? fixnum-min (* (* fixnum-min -1) -1))) | |
| 3218 | (pass-if (equal? fixnum-min (* (* fixnum-min -1) -1)))) | |
| 3219 | ||
| 2355f017 MW |
3220 | (with-test-prefix "signed fixnum overflow" |
| 3221 | (pass-if (eqv? (* 65536 65536) 4294967296)) | |
| 3222 | (pass-if (eqv? (* -65536 65536) -4294967296)) | |
| 3223 | (pass-if (eqv? (* 65536 -65536) -4294967296)) | |
| 3224 | (pass-if (eqv? (* -65536 -65536) 4294967296)) | |
| 3225 | (pass-if (eqv? (* 4294967296 4294967296) 18446744073709551616)) | |
| 3226 | (pass-if (eqv? (* -4294967296 4294967296) -18446744073709551616)) | |
| 3227 | (pass-if (eqv? (* 4294967296 -4294967296) -18446744073709551616)) | |
| 3228 | (pass-if (eqv? (* -4294967296 -4294967296) 18446744073709551616))) | |
| 3229 | ||
| c7218482 MW |
3230 | (with-test-prefix "signed zeroes" |
| 3231 | (pass-if (eqv? +0.0 (* +0.0 +0.0))) | |
| 3232 | (pass-if (eqv? -0.0 (* -0.0 +0.0))) | |
| 3233 | (pass-if (eqv? +0.0 (* -0.0 -0.0))) | |
| 3234 | (pass-if (eqv? -0.0 (* +0.0 -0.0))) | |
| 3235 | (pass-if (eqv? +0.0+0.0i (* +i +0.0))) | |
| 3236 | (pass-if (eqv? +0.0-0.0i (* -i +0.0))) | |
| 3237 | (pass-if (eqv? -0.0-0.0i (* +i -0.0))) | |
| 3238 | (pass-if (eqv? -0.0+0.0i (* -i -0.0)))) | |
| 3239 | ||
| 5e791807 MW |
3240 | (with-test-prefix "exactness propagation" |
| 3241 | (pass-if (eqv? -0.0 (* 0 -1.0 ))) | |
| 3242 | (pass-if (eqv? 0.0 (* 0 1.0 ))) | |
| 3243 | (pass-if (eqv? -0.0 (* -1.0 0 ))) | |
| 3244 | (pass-if (eqv? 0.0 (* 1.0 0 ))) | |
| 3245 | (pass-if (eqv? 0 (* 0 1/2 ))) | |
| 3246 | (pass-if (eqv? 0 (* 1/2 0 ))) | |
| 3247 | (pass-if (eqv? 0.0+0.0i (* 0 1+i ))) | |
| 3248 | (pass-if (eqv? 0.0+0.0i (* 1+i 0 ))) | |
| 3249 | (pass-if (eqv? -1.0 (* 1 -1.0 ))) | |
| 3250 | (pass-if (eqv? 1.0 (* 1 1.0 ))) | |
| 3251 | (pass-if (eqv? -1.0 (* -1.0 1 ))) | |
| 3252 | (pass-if (eqv? 1.0 (* 1.0 1 ))) | |
| 3253 | (pass-if (eqv? 1/2 (* 1 1/2 ))) | |
| 3254 | (pass-if (eqv? 1/2 (* 1/2 1 ))) | |
| 3255 | (pass-if (eqv? 1+i (* 1 1+i ))) | |
| 3256 | (pass-if (eqv? 1+i (* 1+i 1 )))) | |
| 3257 | ||
| 3258 | (with-test-prefix "propagation of NaNs" | |
| 3259 | (pass-if (real-nan? (* +nan.0 +nan.0))) | |
| 3260 | (pass-if (real-nan? (* +nan.0 1 ))) | |
| 3261 | (pass-if (real-nan? (* +nan.0 -1 ))) | |
| 3262 | (pass-if (real-nan? (* +nan.0 -7/2 ))) | |
| 3263 | (pass-if (real-nan? (* +nan.0 1e20 ))) | |
| 3264 | (pass-if (real-nan? (* 1 +nan.0))) | |
| 3265 | (pass-if (real-nan? (* -1 +nan.0))) | |
| 3266 | (pass-if (real-nan? (* -7/2 +nan.0))) | |
| 3267 | (pass-if (real-nan? (* 1e20 +nan.0))) | |
| 3268 | (pass-if (real-nan? (* +inf.0 +nan.0))) | |
| 3269 | (pass-if (real-nan? (* +nan.0 +inf.0))) | |
| 3270 | (pass-if (real-nan? (* -inf.0 +nan.0))) | |
| 3271 | (pass-if (real-nan? (* +nan.0 -inf.0))) | |
| 3272 | (pass-if (real-nan? (* (* fixnum-max 2) +nan.0))) | |
| 3273 | (pass-if (real-nan? (* +nan.0 (* fixnum-max 2)))) | |
| 3274 | ||
| c7218482 MW |
3275 | (pass-if (real-nan? (* 0 +nan.0 ))) |
| 3276 | (pass-if (real-nan? (* +nan.0 0 ))) | |
| 3277 | (pass-if (almost-real-nan? (* 0 +nan.0+i))) | |
| 3278 | (pass-if (almost-real-nan? (* +nan.0+i 0 ))) | |
| 5e791807 MW |
3279 | |
| 3280 | (pass-if (imaginary-nan? (* 0 +nan.0i ))) | |
| 3281 | (pass-if (imaginary-nan? (* +nan.0i 0 ))) | |
| 3282 | (pass-if (imaginary-nan? (* 0 1+nan.0i ))) | |
| 3283 | (pass-if (imaginary-nan? (* 1+nan.0i 0 ))) | |
| 3284 | ||
| 3285 | (pass-if (complex-nan? (* 0 +nan.0+nan.0i ))) | |
| 3286 | (pass-if (complex-nan? (* +nan.0+nan.0i 0 )))) | |
| 3287 | ||
| 3288 | (with-test-prefix "infinities" | |
| 3289 | (pass-if (eqv? +inf.0 (* +inf.0 5 ))) | |
| 3290 | (pass-if (eqv? -inf.0 (* +inf.0 -5 ))) | |
| 3291 | (pass-if (eqv? +inf.0 (* +inf.0 73.1))) | |
| 3292 | (pass-if (eqv? -inf.0 (* +inf.0 -9.2))) | |
| 3293 | (pass-if (eqv? +inf.0 (* +inf.0 5/2))) | |
| 3294 | (pass-if (eqv? -inf.0 (* +inf.0 -5/2))) | |
| 3295 | (pass-if (eqv? -inf.0 (* -5 +inf.0))) | |
| 3296 | (pass-if (eqv? +inf.0 (* 73.1 +inf.0))) | |
| 3297 | (pass-if (eqv? -inf.0 (* -9.2 +inf.0))) | |
| 3298 | (pass-if (eqv? +inf.0 (* 5/2 +inf.0))) | |
| 3299 | (pass-if (eqv? -inf.0 (* -5/2 +inf.0))) | |
| 3300 | ||
| 3301 | (pass-if (eqv? -inf.0 (* -inf.0 5 ))) | |
| 3302 | (pass-if (eqv? +inf.0 (* -inf.0 -5 ))) | |
| 3303 | (pass-if (eqv? -inf.0 (* -inf.0 73.1))) | |
| 3304 | (pass-if (eqv? +inf.0 (* -inf.0 -9.2))) | |
| 3305 | (pass-if (eqv? -inf.0 (* -inf.0 5/2))) | |
| 3306 | (pass-if (eqv? +inf.0 (* -inf.0 -5/2))) | |
| 3307 | (pass-if (eqv? +inf.0 (* -5 -inf.0))) | |
| 3308 | (pass-if (eqv? -inf.0 (* 73.1 -inf.0))) | |
| 3309 | (pass-if (eqv? +inf.0 (* -9.2 -inf.0))) | |
| 3310 | (pass-if (eqv? -inf.0 (* 5/2 -inf.0))) | |
| 3311 | (pass-if (eqv? +inf.0 (* -5/2 -inf.0))) | |
| 3312 | ||
| 3313 | (pass-if (real-nan? (* 0.0 +inf.0))) | |
| 3314 | (pass-if (real-nan? (* -0.0 +inf.0))) | |
| 3315 | (pass-if (real-nan? (* +inf.0 0.0))) | |
| 3316 | (pass-if (real-nan? (* +inf.0 -0.0))) | |
| 3317 | ||
| 3318 | (pass-if (real-nan? (* 0.0 -inf.0))) | |
| 3319 | (pass-if (real-nan? (* -0.0 -inf.0))) | |
| 3320 | (pass-if (real-nan? (* -inf.0 0.0))) | |
| 3321 | (pass-if (real-nan? (* -inf.0 -0.0))) | |
| 3322 | ||
| 3323 | (pass-if (real-nan? (* 0 +inf.0 ))) | |
| 3324 | (pass-if (real-nan? (* +inf.0 0 ))) | |
| 5e791807 MW |
3325 | (pass-if (real-nan? (* 0 -inf.0 ))) |
| 3326 | (pass-if (real-nan? (* -inf.0 0 ))) | |
| c7218482 MW |
3327 | |
| 3328 | (pass-if (almost-real-nan? (* 0 +inf.0+i))) | |
| 3329 | (pass-if (almost-real-nan? (* +inf.0+i 0 ))) | |
| 3330 | (pass-if (almost-real-nan? (* 0 -inf.0+i))) | |
| 3331 | (pass-if (almost-real-nan? (* -inf.0+i 0 ))) | |
| 5e791807 MW |
3332 | |
| 3333 | (pass-if (imaginary-nan? (* 0 +inf.0i ))) | |
| 3334 | (pass-if (imaginary-nan? (* +inf.0i 0 ))) | |
| 3335 | (pass-if (imaginary-nan? (* 0 1+inf.0i ))) | |
| 3336 | (pass-if (imaginary-nan? (* 1+inf.0i 0 ))) | |
| 3337 | ||
| 3338 | (pass-if (imaginary-nan? (* 0 -inf.0i ))) | |
| 3339 | (pass-if (imaginary-nan? (* -inf.0i 0 ))) | |
| 3340 | (pass-if (imaginary-nan? (* 0 1-inf.0i ))) | |
| 3341 | (pass-if (imaginary-nan? (* 1-inf.0i 0 ))) | |
| 3342 | ||
| 3343 | (pass-if (complex-nan? (* 0 +inf.0+inf.0i ))) | |
| 3344 | (pass-if (complex-nan? (* +inf.0+inf.0i 0 ))) | |
| 3345 | ||
| 3346 | (pass-if (complex-nan? (* 0 +inf.0-inf.0i ))) | |
| 3347 | (pass-if (complex-nan? (* -inf.0+inf.0i 0 )))) | |
| 3348 | ||
| 23d72566 KR |
3349 | (with-test-prefix "inum * bignum" |
| 3350 | ||
| 3351 | (pass-if "0 * 2^256 = 0" | |
| 3352 | (eqv? 0 (* 0 (ash 1 256))))) | |
| 3353 | ||
| 3354 | (with-test-prefix "inum * flonum" | |
| 3355 | ||
| 5e791807 MW |
3356 | (pass-if "0 * 1.0 = 0.0" |
| 3357 | (eqv? 0.0 (* 0 1.0)))) | |
| 23d72566 KR |
3358 | |
| 3359 | (with-test-prefix "inum * complex" | |
| 3360 | ||
| 5e791807 MW |
3361 | (pass-if "0 * 1+1i = 0.0+0.0i" |
| 3362 | (eqv? 0.0+0.0i (* 0 1+1i)))) | |
| 23d72566 KR |
3363 | |
| 3364 | (with-test-prefix "inum * frac" | |
| 3365 | ||
| 3366 | (pass-if "0 * 2/3 = 0" | |
| 3367 | (eqv? 0 (* 0 2/3)))) | |
| 3368 | ||
| 3369 | (with-test-prefix "bignum * inum" | |
| 3370 | ||
| 3371 | (pass-if "2^256 * 0 = 0" | |
| 3372 | (eqv? 0 (* (ash 1 256) 0)))) | |
| 3373 | ||
| 3374 | (with-test-prefix "flonum * inum" | |
| 5e791807 MW |
3375 | (pass-if "1.0 * 0 = 0.0" |
| 3376 | (eqv? 0.0 (* 1.0 0)))) | |
| 23d72566 KR |
3377 | |
| 3378 | (with-test-prefix "complex * inum" | |
| 5e791807 MW |
3379 | (pass-if "1+1i * 0 = 0.0+0.0i" |
| 3380 | (eqv? 0.0+0.0i (* 1+1i 0)))) | |
| 23d72566 | 3381 | |
| 65ea251e KR |
3382 | (pass-if "complex * bignum" |
| 3383 | (let ((big (ash 1 90))) | |
| 3384 | (= (make-rectangular big big) | |
| 23d72566 KR |
3385 | (* 1+1i big)))) |
| 3386 | ||
| 3387 | (with-test-prefix "frac * inum" | |
| 3388 | ||
| 3389 | (pass-if "2/3 * 0 = 0" | |
| 3390 | (eqv? 0 (* 2/3 0))))) | |
| 65ea251e | 3391 | |
| f29b3454 DH |
3392 | ;;; |
| 3393 | ;;; / | |
| 3394 | ;;; | |
| 3395 | ||
| 1b3a7932 DH |
3396 | (with-test-prefix "/" |
| 3397 | ||
| b5c40589 MW |
3398 | (with-test-prefix "double-negation of fixnum-min" |
| 3399 | (pass-if (= fixnum-min (/ (/ fixnum-min -1) -1))) | |
| 3400 | (pass-if (eqv? fixnum-min (/ (/ fixnum-min -1) -1))) | |
| 3401 | (pass-if (equal? fixnum-min (/ (/ fixnum-min -1) -1)))) | |
| 3402 | ||
| d389e966 | 3403 | (pass-if "documented?" |
| 1b3a7932 DH |
3404 | (documented? /)) |
| 3405 | ||
| 3406 | (with-test-prefix "division by zero" | |
| 3407 | ||
| 3408 | (pass-if-exception "(/ 0)" | |
| 2f359170 | 3409 | exception:numerical-overflow |
| 1b3a7932 DH |
3410 | (/ 0)) |
| 3411 | ||
| cdf52e3d MV |
3412 | (pass-if "(/ 0.0)" |
| 3413 | (= +inf.0 (/ 0.0))) | |
| 80074d77 | 3414 | |
| 1b3a7932 | 3415 | (pass-if-exception "(/ 1 0)" |
| 2f359170 | 3416 | exception:numerical-overflow |
| 80074d77 DH |
3417 | (/ 1 0)) |
| 3418 | ||
| cdf52e3d MV |
3419 | (pass-if "(/ 1 0.0)" |
| 3420 | (= +inf.0 (/ 1 0.0))) | |
| 80074d77 DH |
3421 | |
| 3422 | (pass-if-exception "(/ bignum 0)" | |
| 2f359170 | 3423 | exception:numerical-overflow |
| 80074d77 DH |
3424 | (/ (+ fixnum-max 1) 0)) |
| 3425 | ||
| cdf52e3d MV |
3426 | (pass-if "(/ bignum 0.0)" |
| 3427 | (= +inf.0 (/ (+ fixnum-max 1) 0.0))) | |
| 80074d77 DH |
3428 | |
| 3429 | (pass-if-exception "(/ 1.0 0)" | |
| 2f359170 | 3430 | exception:numerical-overflow |
| 80074d77 DH |
3431 | (/ 1.0 0)) |
| 3432 | ||
| cdf52e3d MV |
3433 | (pass-if "(/ 1.0 0.0)" |
| 3434 | (= +inf.0 (/ 1.0 0.0))) | |
| 80074d77 DH |
3435 | |
| 3436 | (pass-if-exception "(/ +i 0)" | |
| 2f359170 | 3437 | exception:numerical-overflow |
| 80074d77 DH |
3438 | (/ +i 0)) |
| 3439 | ||
| cdf52e3d MV |
3440 | (pass-if "(/ +i 0.0)" |
| 3441 | (= +inf.0 (imag-part (/ +i 0.0))))) | |
| 469b963c | 3442 | |
| 2f359170 KR |
3443 | (with-test-prefix "1/complex" |
| 3444 | ||
| 3445 | (pass-if "0+1i" | |
| 3446 | (eqv? 0-1i (/ 0+1i))) | |
| 3447 | ||
| 3448 | ;; in guile 1.6 through 1.6.7 this incorrectly resulted in nans | |
| 3449 | (pass-if "0-1i" | |
| 3450 | (eqv? 0+1i (/ 0-1i))) | |
| 3451 | ||
| 3452 | (pass-if "1+1i" | |
| 3453 | (eqv? 0.5-0.5i (/ 1+1i))) | |
| 3454 | ||
| 3455 | (pass-if "1-1i" | |
| 3456 | (eqv? 0.5+0.5i (/ 1-1i))) | |
| 3457 | ||
| 3458 | (pass-if "-1+1i" | |
| 3459 | (eqv? -0.5-0.5i (/ -1+1i))) | |
| 3460 | ||
| 3461 | (pass-if "-1-1i" | |
| 3462 | (eqv? -0.5+0.5i (/ -1-1i))) | |
| 469b963c MV |
3463 | |
| 3464 | (pass-if "(/ 3+4i)" | |
| 3465 | (= (/ 3+4i) 0.12-0.16i)) | |
| 3466 | ||
| 3467 | (pass-if "(/ 4+3i)" | |
| 3468 | (= (/ 4+3i) 0.16-0.12i)) | |
| 3469 | ||
| 2f359170 KR |
3470 | (pass-if "(/ 1e200+1e200i)" |
| 3471 | (= (/ 1e200+1e200i) 5.0e-201-5.0e-201i))) | |
| 469b963c | 3472 | |
| 2f359170 | 3473 | (with-test-prefix "inum/complex" |
| 469b963c MV |
3474 | |
| 3475 | (pass-if "(/ 25 3+4i)" | |
| 3476 | (= (/ 25 3+4i) 3.0-4.0i)) | |
| 3477 | ||
| 3478 | (pass-if "(/ 25 4+3i)" | |
| 2f359170 | 3479 | (= (/ 25 4+3i) 4.0-3.0i))) |
| 469b963c | 3480 | |
| 2f359170 KR |
3481 | (with-test-prefix "complex/complex" |
| 3482 | ||
| 3483 | (pass-if "(/ 25+125i 3+4i)" | |
| 3484 | (= (/ 25+125i 3+4i) 23.0+11.0i)) | |
| 3485 | ||
| 3486 | (pass-if "(/ 25+125i 4+3i)" | |
| 3487 | (= (/ 25+125i 4+3i) 19.0+17.0i)))) | |
| 1b3a7932 | 3488 | |
| 8b56bcec MW |
3489 | ;;; |
| 3490 | ;;; floor | |
| 3491 | ;;; | |
| 3492 | ||
| 3493 | (with-test-prefix "floor" | |
| 3494 | (pass-if (= 1 (floor 1.75))) | |
| 3495 | (pass-if (= 1 (floor 1.5))) | |
| 3496 | (pass-if (= 1 (floor 1.25))) | |
| 3497 | (pass-if (= 0 (floor 0.75))) | |
| 3498 | (pass-if (= 0 (floor 0.5))) | |
| 3499 | (pass-if (= 0 (floor 0.0))) | |
| 3500 | (pass-if (= -1 (floor -0.5))) | |
| 3501 | (pass-if (= -2 (floor -1.25))) | |
| 3502 | (pass-if (= -2 (floor -1.5))) | |
| 3503 | ||
| 3504 | (with-test-prefix "inum" | |
| 3505 | (pass-if "0" | |
| 3506 | (and (= 0 (floor 0)) | |
| 3507 | (exact? (floor 0)))) | |
| 3508 | ||
| 3509 | (pass-if "1" | |
| 3510 | (and (= 1 (floor 1)) | |
| 3511 | (exact? (floor 1)))) | |
| 3512 | ||
| 3513 | (pass-if "-1" | |
| 3514 | (and (= -1 (floor -1)) | |
| 3515 | (exact? (floor -1))))) | |
| 3516 | ||
| 3517 | (with-test-prefix "bignum" | |
| 3518 | (let ((x (1+ most-positive-fixnum))) | |
| 3519 | (pass-if "(1+ most-positive-fixnum)" | |
| 3520 | (and (= x (floor x)) | |
| 3521 | (exact? (floor x))))) | |
| 3522 | ||
| 3523 | (let ((x (1- most-negative-fixnum))) | |
| 3524 | (pass-if "(1- most-negative-fixnum)" | |
| 3525 | (and (= x (floor x)) | |
| 3526 | (exact? (floor x)))))) | |
| 3527 | ||
| 3528 | (with-test-prefix "frac" | |
| 3529 | (define (=exact x y) | |
| 3530 | (and (= x y) | |
| 3531 | (exact? y))) | |
| 3532 | ||
| 3533 | (pass-if (=exact -3 (floor -7/3))) | |
| 3534 | (pass-if (=exact -2 (floor -5/3))) | |
| 3535 | (pass-if (=exact -2 (floor -4/3))) | |
| 3536 | (pass-if (=exact -1 (floor -2/3))) | |
| 3537 | (pass-if (=exact -1 (floor -1/3))) | |
| 3538 | (pass-if (=exact 0 (floor 1/3))) | |
| 3539 | (pass-if (=exact 0 (floor 2/3))) | |
| 3540 | (pass-if (=exact 1 (floor 4/3))) | |
| 3541 | (pass-if (=exact 1 (floor 5/3))) | |
| 3542 | (pass-if (=exact 2 (floor 7/3))) | |
| 3543 | ||
| 3544 | (pass-if (=exact -3 (floor -17/6))) | |
| 3545 | (pass-if (=exact -3 (floor -16/6))) | |
| 3546 | (pass-if (=exact -3 (floor -15/6))) | |
| 3547 | (pass-if (=exact -3 (floor -14/6))) | |
| 3548 | (pass-if (=exact -3 (floor -13/6))) | |
| 3549 | (pass-if (=exact -2 (floor -11/6))) | |
| 3550 | (pass-if (=exact -2 (floor -10/6))) | |
| 3551 | (pass-if (=exact -2 (floor -9/6))) | |
| 3552 | (pass-if (=exact -2 (floor -8/6))) | |
| 3553 | (pass-if (=exact -2 (floor -7/6))) | |
| 3554 | (pass-if (=exact -1 (floor -5/6))) | |
| 3555 | (pass-if (=exact -1 (floor -4/6))) | |
| 3556 | (pass-if (=exact -1 (floor -3/6))) | |
| 3557 | (pass-if (=exact -1 (floor -2/6))) | |
| 3558 | (pass-if (=exact -1 (floor -1/6))) | |
| 3559 | (pass-if (=exact 0 (floor 1/6))) | |
| 3560 | (pass-if (=exact 0 (floor 2/6))) | |
| 3561 | (pass-if (=exact 0 (floor 3/6))) | |
| 3562 | (pass-if (=exact 0 (floor 4/6))) | |
| 3563 | (pass-if (=exact 0 (floor 5/6))) | |
| 3564 | (pass-if (=exact 1 (floor 7/6))) | |
| 3565 | (pass-if (=exact 1 (floor 8/6))) | |
| 3566 | (pass-if (=exact 1 (floor 9/6))) | |
| 3567 | (pass-if (=exact 1 (floor 10/6))) | |
| 3568 | (pass-if (=exact 1 (floor 11/6))) | |
| 3569 | (pass-if (=exact 2 (floor 13/6))) | |
| 3570 | (pass-if (=exact 2 (floor 14/6))) | |
| 3571 | (pass-if (=exact 2 (floor 15/6))) | |
| 3572 | (pass-if (=exact 2 (floor 16/6))) | |
| 3573 | (pass-if (=exact 2 (floor 17/6)))) | |
| 3574 | ||
| 3575 | (with-test-prefix "real" | |
| 3576 | (pass-if "0.0" | |
| 3577 | (and (= 0.0 (floor 0.0)) | |
| 3578 | (inexact? (floor 0.0)))) | |
| 3579 | ||
| 3580 | (pass-if "1.0" | |
| 3581 | (and (= 1.0 (floor 1.0)) | |
| 3582 | (inexact? (floor 1.0)))) | |
| 3583 | ||
| 3584 | (pass-if "-1.0" | |
| 3585 | (and (= -1.0 (floor -1.0)) | |
| 3586 | (inexact? (floor -1.0)))) | |
| 3587 | ||
| 3588 | (pass-if "-3.1" | |
| 3589 | (and (= -4.0 (floor -3.1)) | |
| 3590 | (inexact? (floor -3.1)))) | |
| 3591 | ||
| 3592 | (pass-if "3.1" | |
| 3593 | (and (= 3.0 (floor 3.1)) | |
| 3594 | (inexact? (floor 3.1)))) | |
| 3595 | ||
| 3596 | (pass-if "3.9" | |
| 3597 | (and (= 3.0 (floor 3.9)) | |
| 3598 | (inexact? (floor 3.9)))) | |
| 3599 | ||
| 3600 | (pass-if "-3.9" | |
| 3601 | (and (= -4.0 (floor -3.9)) | |
| 3602 | (inexact? (floor -3.9)))) | |
| 3603 | ||
| 3604 | (pass-if "1.5" | |
| 3605 | (and (= 1.0 (floor 1.5)) | |
| 3606 | (inexact? (floor 1.5)))) | |
| 3607 | ||
| 3608 | (pass-if "2.5" | |
| 3609 | (and (= 2.0 (floor 2.5)) | |
| 3610 | (inexact? (floor 2.5)))) | |
| 3611 | ||
| 3612 | (pass-if "3.5" | |
| 3613 | (and (= 3.0 (floor 3.5)) | |
| 3614 | (inexact? (floor 3.5)))) | |
| 3615 | ||
| 3616 | (pass-if "-1.5" | |
| 3617 | (and (= -2.0 (floor -1.5)) | |
| 3618 | (inexact? (floor -1.5)))) | |
| 3619 | ||
| 3620 | (pass-if "-2.5" | |
| 3621 | (and (= -3.0 (floor -2.5)) | |
| 3622 | (inexact? (floor -2.5)))) | |
| 3623 | ||
| 3624 | (pass-if "-3.5" | |
| 3625 | (and (= -4.0 (floor -3.5)) | |
| 3626 | (inexact? (floor -3.5)))))) | |
| 3627 | ||
| 3628 | ;;; | |
| 3629 | ;;; ceiling | |
| 3630 | ;;; | |
| 3631 | ||
| 3632 | (with-test-prefix "ceiling" | |
| 3633 | (pass-if (= 2 (ceiling 1.75))) | |
| 3634 | (pass-if (= 2 (ceiling 1.5))) | |
| 3635 | (pass-if (= 2 (ceiling 1.25))) | |
| 3636 | (pass-if (= 1 (ceiling 0.75))) | |
| 3637 | (pass-if (= 1 (ceiling 0.5))) | |
| 3638 | (pass-if (= 0 (ceiling 0.0))) | |
| 3639 | (pass-if (= 0 (ceiling -0.5))) | |
| 3640 | (pass-if (= -1 (ceiling -1.25))) | |
| 3641 | (pass-if (= -1 (ceiling -1.5))) | |
| 3642 | ||
| 3643 | (with-test-prefix "inum" | |
| 3644 | (pass-if "0" | |
| 3645 | (and (= 0 (ceiling 0)) | |
| 3646 | (exact? (ceiling 0)))) | |
| 3647 | ||
| 3648 | (pass-if "1" | |
| 3649 | (and (= 1 (ceiling 1)) | |
| 3650 | (exact? (ceiling 1)))) | |
| 3651 | ||
| 3652 | (pass-if "-1" | |
| 3653 | (and (= -1 (ceiling -1)) | |
| 3654 | (exact? (ceiling -1))))) | |
| 3655 | ||
| 3656 | (with-test-prefix "bignum" | |
| 3657 | (let ((x (1+ most-positive-fixnum))) | |
| 3658 | (pass-if "(1+ most-positive-fixnum)" | |
| 3659 | (and (= x (ceiling x)) | |
| 3660 | (exact? (ceiling x))))) | |
| 3661 | ||
| 3662 | (let ((x (1- most-negative-fixnum))) | |
| 3663 | (pass-if "(1- most-negative-fixnum)" | |
| 3664 | (and (= x (ceiling x)) | |
| 3665 | (exact? (ceiling x)))))) | |
| 3666 | ||
| 3667 | (with-test-prefix "frac" | |
| 3668 | (define (=exact x y) | |
| 3669 | (and (= x y) | |
| 3670 | (exact? y))) | |
| 3671 | ||
| 3672 | (pass-if (=exact -2 (ceiling -7/3))) | |
| 3673 | (pass-if (=exact -1 (ceiling -5/3))) | |
| 3674 | (pass-if (=exact -1 (ceiling -4/3))) | |
| 3675 | (pass-if (=exact 0 (ceiling -2/3))) | |
| 3676 | (pass-if (=exact 0 (ceiling -1/3))) | |
| 3677 | (pass-if (=exact 1 (ceiling 1/3))) | |
| 3678 | (pass-if (=exact 1 (ceiling 2/3))) | |
| 3679 | (pass-if (=exact 2 (ceiling 4/3))) | |
| 3680 | (pass-if (=exact 2 (ceiling 5/3))) | |
| 3681 | (pass-if (=exact 3 (ceiling 7/3))) | |
| 3682 | ||
| 3683 | (pass-if (=exact -2 (ceiling -17/6))) | |
| 3684 | (pass-if (=exact -2 (ceiling -16/6))) | |
| 3685 | (pass-if (=exact -2 (ceiling -15/6))) | |
| 3686 | (pass-if (=exact -2 (ceiling -14/6))) | |
| 3687 | (pass-if (=exact -2 (ceiling -13/6))) | |
| 3688 | (pass-if (=exact -1 (ceiling -11/6))) | |
| 3689 | (pass-if (=exact -1 (ceiling -10/6))) | |
| 3690 | (pass-if (=exact -1 (ceiling -9/6))) | |
| 3691 | (pass-if (=exact -1 (ceiling -8/6))) | |
| 3692 | (pass-if (=exact -1 (ceiling -7/6))) | |
| 3693 | (pass-if (=exact 0 (ceiling -5/6))) | |
| 3694 | (pass-if (=exact 0 (ceiling -4/6))) | |
| 3695 | (pass-if (=exact 0 (ceiling -3/6))) | |
| 3696 | (pass-if (=exact 0 (ceiling -2/6))) | |
| 3697 | (pass-if (=exact 0 (ceiling -1/6))) | |
| 3698 | (pass-if (=exact 1 (ceiling 1/6))) | |
| 3699 | (pass-if (=exact 1 (ceiling 2/6))) | |
| 3700 | (pass-if (=exact 1 (ceiling 3/6))) | |
| 3701 | (pass-if (=exact 1 (ceiling 4/6))) | |
| 3702 | (pass-if (=exact 1 (ceiling 5/6))) | |
| 3703 | (pass-if (=exact 2 (ceiling 7/6))) | |
| 3704 | (pass-if (=exact 2 (ceiling 8/6))) | |
| 3705 | (pass-if (=exact 2 (ceiling 9/6))) | |
| 3706 | (pass-if (=exact 2 (ceiling 10/6))) | |
| 3707 | (pass-if (=exact 2 (ceiling 11/6))) | |
| 3708 | (pass-if (=exact 3 (ceiling 13/6))) | |
| 3709 | (pass-if (=exact 3 (ceiling 14/6))) | |
| 3710 | (pass-if (=exact 3 (ceiling 15/6))) | |
| 3711 | (pass-if (=exact 3 (ceiling 16/6))) | |
| 3712 | (pass-if (=exact 3 (ceiling 17/6)))) | |
| 3713 | ||
| 3714 | (with-test-prefix "real" | |
| 3715 | (pass-if "0.0" | |
| 3716 | (and (= 0.0 (ceiling 0.0)) | |
| 3717 | (inexact? (ceiling 0.0)))) | |
| 3718 | ||
| 3719 | (pass-if "1.0" | |
| 3720 | (and (= 1.0 (ceiling 1.0)) | |
| 3721 | (inexact? (ceiling 1.0)))) | |
| 3722 | ||
| 3723 | (pass-if "-1.0" | |
| 3724 | (and (= -1.0 (ceiling -1.0)) | |
| 3725 | (inexact? (ceiling -1.0)))) | |
| 3726 | ||
| 3727 | (pass-if "-3.1" | |
| 3728 | (and (= -3.0 (ceiling -3.1)) | |
| 3729 | (inexact? (ceiling -3.1)))) | |
| 3730 | ||
| 3731 | (pass-if "3.1" | |
| 3732 | (and (= 4.0 (ceiling 3.1)) | |
| 3733 | (inexact? (ceiling 3.1)))) | |
| 3734 | ||
| 3735 | (pass-if "3.9" | |
| 3736 | (and (= 4.0 (ceiling 3.9)) | |
| 3737 | (inexact? (ceiling 3.9)))) | |
| 3738 | ||
| 3739 | (pass-if "-3.9" | |
| 3740 | (and (= -3.0 (ceiling -3.9)) | |
| 3741 | (inexact? (ceiling -3.9)))) | |
| 3742 | ||
| 3743 | (pass-if "1.5" | |
| 3744 | (and (= 2.0 (ceiling 1.5)) | |
| 3745 | (inexact? (ceiling 1.5)))) | |
| 3746 | ||
| 3747 | (pass-if "2.5" | |
| 3748 | (and (= 3.0 (ceiling 2.5)) | |
| 3749 | (inexact? (ceiling 2.5)))) | |
| 3750 | ||
| 3751 | (pass-if "3.5" | |
| 3752 | (and (= 4.0 (ceiling 3.5)) | |
| 3753 | (inexact? (ceiling 3.5)))) | |
| 3754 | ||
| 3755 | (pass-if "-1.5" | |
| 3756 | (and (= -1.0 (ceiling -1.5)) | |
| 3757 | (inexact? (ceiling -1.5)))) | |
| 3758 | ||
| 3759 | (pass-if "-2.5" | |
| 3760 | (and (= -2.0 (ceiling -2.5)) | |
| 3761 | (inexact? (ceiling -2.5)))) | |
| 3762 | ||
| 3763 | (pass-if "-3.5" | |
| 3764 | (and (= -3.0 (ceiling -3.5)) | |
| 3765 | (inexact? (ceiling -3.5)))))) | |
| 3766 | ||
| f29b3454 DH |
3767 | ;;; |
| 3768 | ;;; truncate | |
| 3769 | ;;; | |
| 3770 | ||
| 14a6784c KR |
3771 | (with-test-prefix "truncate" |
| 3772 | (pass-if (= 1 (truncate 1.75))) | |
| 3773 | (pass-if (= 1 (truncate 1.5))) | |
| 3774 | (pass-if (= 1 (truncate 1.25))) | |
| 3775 | (pass-if (= 0 (truncate 0.75))) | |
| 3776 | (pass-if (= 0 (truncate 0.5))) | |
| 3777 | (pass-if (= 0 (truncate 0.0))) | |
| 3778 | (pass-if (= 0 (truncate -0.5))) | |
| 3779 | (pass-if (= -1 (truncate -1.25))) | |
| 8b56bcec MW |
3780 | (pass-if (= -1 (truncate -1.5))) |
| 3781 | ||
| 3782 | (with-test-prefix "inum" | |
| 3783 | (pass-if "0" | |
| 3784 | (and (= 0 (truncate 0)) | |
| 3785 | (exact? (truncate 0)))) | |
| 3786 | ||
| 3787 | (pass-if "1" | |
| 3788 | (and (= 1 (truncate 1)) | |
| 3789 | (exact? (truncate 1)))) | |
| 3790 | ||
| 3791 | (pass-if "-1" | |
| 3792 | (and (= -1 (truncate -1)) | |
| 3793 | (exact? (truncate -1))))) | |
| 3794 | ||
| 3795 | (with-test-prefix "bignum" | |
| 3796 | (let ((x (1+ most-positive-fixnum))) | |
| 3797 | (pass-if "(1+ most-positive-fixnum)" | |
| 3798 | (and (= x (truncate x)) | |
| 3799 | (exact? (truncate x))))) | |
| 3800 | ||
| 3801 | (let ((x (1- most-negative-fixnum))) | |
| 3802 | (pass-if "(1- most-negative-fixnum)" | |
| 3803 | (and (= x (truncate x)) | |
| 3804 | (exact? (truncate x)))))) | |
| 3805 | ||
| 3806 | (with-test-prefix "frac" | |
| 3807 | (define (=exact x y) | |
| 3808 | (and (= x y) | |
| 3809 | (exact? y))) | |
| 3810 | ||
| 3811 | (pass-if (=exact -2 (truncate -7/3))) | |
| 3812 | (pass-if (=exact -1 (truncate -5/3))) | |
| 3813 | (pass-if (=exact -1 (truncate -4/3))) | |
| 3814 | (pass-if (=exact 0 (truncate -2/3))) | |
| 3815 | (pass-if (=exact 0 (truncate -1/3))) | |
| 3816 | (pass-if (=exact 0 (truncate 1/3))) | |
| 3817 | (pass-if (=exact 0 (truncate 2/3))) | |
| 3818 | (pass-if (=exact 1 (truncate 4/3))) | |
| 3819 | (pass-if (=exact 1 (truncate 5/3))) | |
| 3820 | (pass-if (=exact 2 (truncate 7/3))) | |
| 3821 | ||
| 3822 | (pass-if (=exact -2 (truncate -17/6))) | |
| 3823 | (pass-if (=exact -2 (truncate -16/6))) | |
| 3824 | (pass-if (=exact -2 (truncate -15/6))) | |
| 3825 | (pass-if (=exact -2 (truncate -14/6))) | |
| 3826 | (pass-if (=exact -2 (truncate -13/6))) | |
| 3827 | (pass-if (=exact -1 (truncate -11/6))) | |
| 3828 | (pass-if (=exact -1 (truncate -10/6))) | |
| 3829 | (pass-if (=exact -1 (truncate -9/6))) | |
| 3830 | (pass-if (=exact -1 (truncate -8/6))) | |
| 3831 | (pass-if (=exact -1 (truncate -7/6))) | |
| 3832 | (pass-if (=exact 0 (truncate -5/6))) | |
| 3833 | (pass-if (=exact 0 (truncate -4/6))) | |
| 3834 | (pass-if (=exact 0 (truncate -3/6))) | |
| 3835 | (pass-if (=exact 0 (truncate -2/6))) | |
| 3836 | (pass-if (=exact 0 (truncate -1/6))) | |
| 3837 | (pass-if (=exact 0 (truncate 1/6))) | |
| 3838 | (pass-if (=exact 0 (truncate 2/6))) | |
| 3839 | (pass-if (=exact 0 (truncate 3/6))) | |
| 3840 | (pass-if (=exact 0 (truncate 4/6))) | |
| 3841 | (pass-if (=exact 0 (truncate 5/6))) | |
| 3842 | (pass-if (=exact 1 (truncate 7/6))) | |
| 3843 | (pass-if (=exact 1 (truncate 8/6))) | |
| 3844 | (pass-if (=exact 1 (truncate 9/6))) | |
| 3845 | (pass-if (=exact 1 (truncate 10/6))) | |
| 3846 | (pass-if (=exact 1 (truncate 11/6))) | |
| 3847 | (pass-if (=exact 2 (truncate 13/6))) | |
| 3848 | (pass-if (=exact 2 (truncate 14/6))) | |
| 3849 | (pass-if (=exact 2 (truncate 15/6))) | |
| 3850 | (pass-if (=exact 2 (truncate 16/6))) | |
| 3851 | (pass-if (=exact 2 (truncate 17/6)))) | |
| 3852 | ||
| 3853 | (with-test-prefix "real" | |
| 3854 | (pass-if "0.0" | |
| 3855 | (and (= 0.0 (truncate 0.0)) | |
| 3856 | (inexact? (truncate 0.0)))) | |
| 3857 | ||
| 3858 | (pass-if "1.0" | |
| 3859 | (and (= 1.0 (truncate 1.0)) | |
| 3860 | (inexact? (truncate 1.0)))) | |
| 3861 | ||
| 3862 | (pass-if "-1.0" | |
| 3863 | (and (= -1.0 (truncate -1.0)) | |
| 3864 | (inexact? (truncate -1.0)))) | |
| 3865 | ||
| 3866 | (pass-if "-3.1" | |
| 3867 | (and (= -3.0 (truncate -3.1)) | |
| 3868 | (inexact? (truncate -3.1)))) | |
| 3869 | ||
| 3870 | (pass-if "3.1" | |
| 3871 | (and (= 3.0 (truncate 3.1)) | |
| 3872 | (inexact? (truncate 3.1)))) | |
| 3873 | ||
| 3874 | (pass-if "3.9" | |
| 3875 | (and (= 3.0 (truncate 3.9)) | |
| 3876 | (inexact? (truncate 3.9)))) | |
| 3877 | ||
| 3878 | (pass-if "-3.9" | |
| 3879 | (and (= -3.0 (truncate -3.9)) | |
| 3880 | (inexact? (truncate -3.9)))) | |
| 3881 | ||
| 3882 | (pass-if "1.5" | |
| 3883 | (and (= 1.0 (truncate 1.5)) | |
| 3884 | (inexact? (truncate 1.5)))) | |
| 3885 | ||
| 3886 | (pass-if "2.5" | |
| 3887 | (and (= 2.0 (truncate 2.5)) | |
| 3888 | (inexact? (truncate 2.5)))) | |
| 3889 | ||
| 3890 | (pass-if "3.5" | |
| 3891 | (and (= 3.0 (truncate 3.5)) | |
| 3892 | (inexact? (truncate 3.5)))) | |
| 3893 | ||
| 3894 | (pass-if "-1.5" | |
| 3895 | (and (= -1.0 (truncate -1.5)) | |
| 3896 | (inexact? (truncate -1.5)))) | |
| 3897 | ||
| 3898 | (pass-if "-2.5" | |
| 3899 | (and (= -2.0 (truncate -2.5)) | |
| 3900 | (inexact? (truncate -2.5)))) | |
| 3901 | ||
| 3902 | (pass-if "-3.5" | |
| 3903 | (and (= -3.0 (truncate -3.5)) | |
| 3904 | (inexact? (truncate -3.5)))))) | |
| 14a6784c | 3905 | |
| f29b3454 DH |
3906 | ;;; |
| 3907 | ;;; round | |
| 3908 | ;;; | |
| 3909 | ||
| 14a6784c KR |
3910 | (with-test-prefix "round" |
| 3911 | (pass-if (= 2 (round 1.75))) | |
| 3912 | (pass-if (= 2 (round 1.5))) | |
| 3913 | (pass-if (= 1 (round 1.25))) | |
| 3914 | (pass-if (= 1 (round 0.75))) | |
| 3915 | (pass-if (= 0 (round 0.5))) | |
| 3916 | (pass-if (= 0 (round 0.0))) | |
| 3917 | (pass-if (= 0 (round -0.5))) | |
| 3918 | (pass-if (= -1 (round -1.25))) | |
| abff733b KR |
3919 | (pass-if (= -2 (round -1.5))) |
| 3920 | ||
| 3921 | (with-test-prefix "inum" | |
| 3922 | (pass-if "0" | |
| 3923 | (and (= 0 (round 0)) | |
| 3924 | (exact? (round 0)))) | |
| 3925 | ||
| 3926 | (pass-if "1" | |
| 3927 | (and (= 1 (round 1)) | |
| 3928 | (exact? (round 1)))) | |
| 3929 | ||
| 3930 | (pass-if "-1" | |
| 3931 | (and (= -1 (round -1)) | |
| 3932 | (exact? (round -1))))) | |
| 3933 | ||
| 3934 | (with-test-prefix "bignum" | |
| 3935 | (let ((x (1+ most-positive-fixnum))) | |
| 3936 | (pass-if "(1+ most-positive-fixnum)" | |
| 3937 | (and (= x (round x)) | |
| 3938 | (exact? (round x))))) | |
| 3939 | ||
| 3940 | (let ((x (1- most-negative-fixnum))) | |
| 3941 | (pass-if "(1- most-negative-fixnum)" | |
| 3942 | (and (= x (round x)) | |
| 3943 | (exact? (round x)))))) | |
| 3944 | ||
| 6203b5f5 KR |
3945 | (with-test-prefix "frac" |
| 3946 | (define (=exact x y) | |
| 3947 | (and (= x y) | |
| 3948 | (exact? y))) | |
| 3949 | ||
| 3950 | (pass-if (=exact -2 (round -7/3))) | |
| 3951 | (pass-if (=exact -2 (round -5/3))) | |
| 3952 | (pass-if (=exact -1 (round -4/3))) | |
| 3953 | (pass-if (=exact -1 (round -2/3))) | |
| 3954 | (pass-if (=exact 0 (round -1/3))) | |
| 3955 | (pass-if (=exact 0 (round 1/3))) | |
| 3956 | (pass-if (=exact 1 (round 2/3))) | |
| 3957 | (pass-if (=exact 1 (round 4/3))) | |
| 3958 | (pass-if (=exact 2 (round 5/3))) | |
| 3959 | (pass-if (=exact 2 (round 7/3))) | |
| 3960 | ||
| 3961 | (pass-if (=exact -3 (round -17/6))) | |
| 3962 | (pass-if (=exact -3 (round -16/6))) | |
| 3963 | (pass-if (=exact -2 (round -15/6))) | |
| 3964 | (pass-if (=exact -2 (round -14/6))) | |
| 3965 | (pass-if (=exact -2 (round -13/6))) | |
| 3966 | (pass-if (=exact -2 (round -11/6))) | |
| 3967 | (pass-if (=exact -2 (round -10/6))) | |
| 3968 | (pass-if (=exact -2 (round -9/6))) | |
| 3969 | (pass-if (=exact -1 (round -8/6))) | |
| 3970 | (pass-if (=exact -1 (round -7/6))) | |
| 3971 | (pass-if (=exact -1 (round -5/6))) | |
| 3972 | (pass-if (=exact -1 (round -4/6))) | |
| 3973 | (pass-if (=exact 0 (round -3/6))) | |
| 3974 | (pass-if (=exact 0 (round -2/6))) | |
| 3975 | (pass-if (=exact 0 (round -1/6))) | |
| 3976 | (pass-if (=exact 0 (round 1/6))) | |
| 3977 | (pass-if (=exact 0 (round 2/6))) | |
| 3978 | (pass-if (=exact 0 (round 3/6))) | |
| 3979 | (pass-if (=exact 1 (round 4/6))) | |
| 3980 | (pass-if (=exact 1 (round 5/6))) | |
| 3981 | (pass-if (=exact 1 (round 7/6))) | |
| 3982 | (pass-if (=exact 1 (round 8/6))) | |
| 3983 | (pass-if (=exact 2 (round 9/6))) | |
| 3984 | (pass-if (=exact 2 (round 10/6))) | |
| 3985 | (pass-if (=exact 2 (round 11/6))) | |
| 3986 | (pass-if (=exact 2 (round 13/6))) | |
| 3987 | (pass-if (=exact 2 (round 14/6))) | |
| 3988 | (pass-if (=exact 2 (round 15/6))) | |
| 3989 | (pass-if (=exact 3 (round 16/6))) | |
| 3990 | (pass-if (=exact 3 (round 17/6)))) | |
| 3991 | ||
| abff733b KR |
3992 | (with-test-prefix "real" |
| 3993 | (pass-if "0.0" | |
| 3994 | (and (= 0.0 (round 0.0)) | |
| 3995 | (inexact? (round 0.0)))) | |
| 3996 | ||
| 3997 | (pass-if "1.0" | |
| 3998 | (and (= 1.0 (round 1.0)) | |
| 3999 | (inexact? (round 1.0)))) | |
| 4000 | ||
| 4001 | (pass-if "-1.0" | |
| 4002 | (and (= -1.0 (round -1.0)) | |
| 4003 | (inexact? (round -1.0)))) | |
| 4004 | ||
| 4005 | (pass-if "-3.1" | |
| 4006 | (and (= -3.0 (round -3.1)) | |
| 4007 | (inexact? (round -3.1)))) | |
| 4008 | ||
| 4009 | (pass-if "3.1" | |
| 4010 | (and (= 3.0 (round 3.1)) | |
| 4011 | (inexact? (round 3.1)))) | |
| 4012 | ||
| 4013 | (pass-if "3.9" | |
| 4014 | (and (= 4.0 (round 3.9)) | |
| 4015 | (inexact? (round 3.9)))) | |
| 4016 | ||
| 4017 | (pass-if "-3.9" | |
| 4018 | (and (= -4.0 (round -3.9)) | |
| 4019 | (inexact? (round -3.9)))) | |
| 4020 | ||
| 4021 | (pass-if "1.5" | |
| 4022 | (and (= 2.0 (round 1.5)) | |
| 4023 | (inexact? (round 1.5)))) | |
| 4024 | ||
| 4025 | (pass-if "2.5" | |
| 4026 | (and (= 2.0 (round 2.5)) | |
| 4027 | (inexact? (round 2.5)))) | |
| 4028 | ||
| 4029 | (pass-if "3.5" | |
| 4030 | (and (= 4.0 (round 3.5)) | |
| 4031 | (inexact? (round 3.5)))) | |
| 4032 | ||
| 4033 | (pass-if "-1.5" | |
| 4034 | (and (= -2.0 (round -1.5)) | |
| 4035 | (inexact? (round -1.5)))) | |
| 4036 | ||
| 4037 | (pass-if "-2.5" | |
| 4038 | (and (= -2.0 (round -2.5)) | |
| 4039 | (inexact? (round -2.5)))) | |
| 4040 | ||
| 4041 | (pass-if "-3.5" | |
| 4042 | (and (= -4.0 (round -3.5)) | |
| 4043 | (inexact? (round -3.5)))) | |
| 4044 | ||
| 4045 | ;; prior to guile 1.6.5, on an IEEE system an inexact 2^53-1 (ie. a | |
| 4046 | ;; float with mantissa all ones) came out as 2^53 from `round' (except | |
| 4047 | ;; on i386 and m68k systems using the coprocessor and optimizing, where | |
| 4048 | ;; extra precision hid the problem) | |
| 4049 | (pass-if "2^53-1" | |
| 4050 | (let ((x (exact->inexact (1- (ash 1 53))))) | |
| 4051 | (and (= x (round x)) | |
| 4052 | (inexact? (round x))))) | |
| 4053 | (pass-if "-(2^53-1)" | |
| 4054 | (let ((x (exact->inexact (- (1- (ash 1 53)))))) | |
| 4055 | (and (= x (round x)) | |
| 4056 | (inexact? (round x))))))) | |
| 14a6784c | 4057 | |
| f29b3454 DH |
4058 | ;;; |
| 4059 | ;;; exact->inexact | |
| 4060 | ;;; | |
| 4061 | ||
| a1fb3b1c | 4062 | (with-test-prefix "exact->inexact" |
| 1eb6a33a MW |
4063 | |
| 4064 | ;; Test "(exact->inexact n)", expect "want". | |
| 4065 | (define (test name n want) | |
| 4066 | (with-test-prefix name | |
| 4067 | (pass-if-equal "pos" want (exact->inexact n)) | |
| 4068 | (pass-if-equal "neg" (- want) (exact->inexact (- n))))) | |
| 4069 | ||
| a1fb3b1c KR |
4070 | ;; Test "(exact->inexact n)", expect "want". |
| 4071 | ;; "i" is a index, for diagnostic purposes. | |
| 4072 | (define (try-i i n want) | |
| 1eb6a33a | 4073 | (test (list i n want) n want)) |
| a1fb3b1c KR |
4074 | |
| 4075 | (with-test-prefix "2^i, no round" | |
| 4076 | (do ((i 0 (1+ i)) | |
| 4077 | (n 1 (* 2 n)) | |
| 4078 | (want 1.0 (* 2.0 want))) | |
| 4079 | ((> i 100)) | |
| 4080 | (try-i i n want))) | |
| 4081 | ||
| 4082 | (with-test-prefix "2^i+1, no round" | |
| 4083 | (do ((i 1 (1+ i)) | |
| 4084 | (n 3 (1- (* 2 n))) | |
| 4085 | (want 3.0 (- (* 2.0 want) 1.0))) | |
| 4086 | ((>= i dbl-mant-dig)) | |
| 4087 | (try-i i n want))) | |
| 4088 | ||
| 4089 | (with-test-prefix "(2^i+1)*2^100, no round" | |
| 4090 | (do ((i 1 (1+ i)) | |
| 4091 | (n 3 (1- (* 2 n))) | |
| 4092 | (want 3.0 (- (* 2.0 want) 1.0))) | |
| 4093 | ((>= i dbl-mant-dig)) | |
| 4094 | (try-i i (ash n 100) (ash-flo want 100)))) | |
| 4095 | ||
| 4096 | ;; bit pattern: 1111....11100.00 | |
| 4097 | ;; <-mantdig-><-i-> | |
| 4098 | ;; | |
| 4099 | (with-test-prefix "mantdig ones then zeros, no rounding" | |
| 4100 | (do ((i 0 (1+ i)) | |
| 4101 | (n (- (ash 1 dbl-mant-dig) 1) (* 2 n)) | |
| 4102 | (want (- (ash-flo 1.0 dbl-mant-dig) 1.0) (* 2.0 want))) | |
| 4103 | ((> i 100)) | |
| 4104 | (try-i i n want))) | |
| 4105 | ||
| 4106 | ;; bit pattern: 1111....111011..1 | |
| 4107 | ;; <-mantdig-> <-i-> | |
| 4108 | ;; This sort of value was incorrectly rounded upwards in Guile 1.6.4 when | |
| 4109 | ;; i >= 11 (that's when the total is 65 or more bits). | |
| 4110 | ;; | |
| 4111 | (with-test-prefix "mantdig ones then 011..11, round down" | |
| 4112 | (do ((i 0 (1+ i)) | |
| 4113 | (n (- (ash 1 (+ 1 dbl-mant-dig)) 2) (+ 1 (* 2 n))) | |
| 4114 | (want (- (ash-flo 1.0 (+ 1 dbl-mant-dig)) 2.0) (* 2.0 want))) | |
| 4115 | ((> i 100)) | |
| 4116 | (try-i i n want))) | |
| 4117 | ||
| 4118 | ;; bit pattern: 1111....111100..001 | |
| 4119 | ;; <-mantdig-> <--i-> | |
| 4120 | ;; | |
| 4121 | (with-test-prefix "mantdig ones then 100..001, round up" | |
| 4122 | (do ((i 0 (1+ i)) | |
| 4123 | (n (- (ash 1 (+ 2 dbl-mant-dig)) 1) (1- (* 2 n))) | |
| 4124 | (want (ash-flo 1.0 (+ 2 dbl-mant-dig)) (* 2.0 want))) | |
| 4125 | ((> i 100)) | |
| 4126 | (try-i i n want))) | |
| 4127 | ||
| 4128 | ;; bit pattern: 1000....000100..001 | |
| 4129 | ;; <-mantdig-> <--i-> | |
| 4130 | ;; | |
| 4131 | (with-test-prefix "2^mantdig then 100..001, round up" | |
| 4132 | (do ((i 0 (1+ i)) | |
| 4133 | (n (- (ash 1 (+ 2 dbl-mant-dig)) 1) (1- (* 2 n))) | |
| 4134 | (want (+ (ash-flo 1.0 (+ 2 dbl-mant-dig)) 4.0) (* 2.0 want))) | |
| 4135 | ((> i 100)) | |
| 23f2b9a3 KR |
4136 | (try-i i n want))) |
| 4137 | ||
| 4138 | (pass-if "frac big/big" | |
| 4139 | (let ((big (ash 1 256))) | |
| 4140 | (= 1.0 (exact->inexact (/ (1+ big) big))))) | |
| 4141 | ||
| 4142 | ;; In guile 1.8.0 this failed, giving back "nan" because it tried to | |
| 4143 | ;; convert the num and den to doubles, resulting in infs. | |
| 4144 | (pass-if "frac big/big, exceeding double" | |
| 4145 | (let ((big (ash 1 4096))) | |
| 1eb6a33a MW |
4146 | (= 1.0 (exact->inexact (/ (1+ big) big))))) |
| 4147 | ||
| 4cc2e41c MW |
4148 | ;; In guile 2.0.9, 'exact->inexact' guaranteed proper rounding when |
| 4149 | ;; applied to non-negative fractions, but on 64-bit systems would | |
| 4150 | ;; sometimes double-round when applied to negative fractions, | |
| 4151 | ;; specifically when the numerator was a fixnum not exactly | |
| 4152 | ;; representable as a double. | |
| 4153 | (with-test-prefix "frac inum/inum, numerator not exactly representable as a double" | |
| 4154 | (let ((n (+ 1 (expt 2 dbl-mant-dig)))) | |
| 4155 | (for-each (lambda (d) | |
| 4156 | (test (/ n d) | |
| 4157 | (/ n d) | |
| 4158 | (exact->inexact (/ n d)))) | |
| 4159 | '(3 5 6 7 9 11 13 17 19 23 0.0 -0.0 +nan.0 +inf.0 -inf.0)))) | |
| 4160 | ||
| 1eb6a33a MW |
4161 | (test "round up to odd" |
| 4162 | ;; ===================================================== | |
| 4163 | ;; 11111111111111111111111111111111111111111111111111000101 -> | |
| 4164 | ;; 11111111111111111111111111111111111111111111111111001000 | |
| 4165 | (+ (expt 2 (+ dbl-mant-dig 3)) -64 #b000101) | |
| 4166 | (+ (expt 2.0 (+ dbl-mant-dig 3)) -64 #b001000)) | |
| 4167 | ||
| 4168 | (test "round down to odd" | |
| 4169 | ;; ===================================================== | |
| 4170 | ;; 11111111111111111111111111111111111111111111111111001011 -> | |
| 4171 | ;; 11111111111111111111111111111111111111111111111111001000 | |
| 4172 | (+ (expt 2 (+ dbl-mant-dig 3)) -64 #b001011) | |
| 4173 | (+ (expt 2.0 (+ dbl-mant-dig 3)) -64 #b001000)) | |
| 4174 | ||
| 4175 | (test "round tie up to even" | |
| 4176 | ;; ===================================================== | |
| 4177 | ;; 11111111111111111111111111111111111111111111111111011100 -> | |
| 4178 | ;; 11111111111111111111111111111111111111111111111111100000 | |
| 4179 | (+ (expt 2 (+ dbl-mant-dig 3)) -64 #b011100) | |
| 4180 | (+ (expt 2.0 (+ dbl-mant-dig 3)) -64 #b100000)) | |
| 4181 | ||
| 4182 | (test "round tie down to even" | |
| 4183 | ;; ===================================================== | |
| 4184 | ;; 11111111111111111111111111111111111111111111111111000100 -> | |
| 4185 | ;; 11111111111111111111111111111111111111111111111111000000 | |
| 4186 | (+ (expt 2 (+ dbl-mant-dig 3)) -64 #b000100) | |
| 4187 | (+ (expt 2.0 (+ dbl-mant-dig 3)) -64 #b000000)) | |
| 4188 | ||
| 4189 | (test "round tie up to next power of two" | |
| 4190 | ;; ===================================================== | |
| 4191 | ;; 11111111111111111111111111111111111111111111111111111100 -> | |
| 4192 | ;; 100000000000000000000000000000000000000000000000000000000 | |
| 4193 | (+ (expt 2 (+ dbl-mant-dig 3)) -64 #b111100) | |
| 98237784 MW |
4194 | (expt 2.0 (+ dbl-mant-dig 3))) |
| 4195 | ||
| 4196 | (test "miniscule value rounds to zero of appropriate sign" | |
| 4197 | (expt 17 (- dbl-min-exp dbl-mant-dig)) | |
| 4198 | 0.0) | |
| 4199 | ||
| 4200 | (test "smallest inexact" | |
| 4201 | (expt 2 (- dbl-min-exp dbl-mant-dig)) | |
| 4202 | (expt 2.0 (- dbl-min-exp dbl-mant-dig))) | |
| 4203 | ||
| 4204 | (test "1/2 smallest inexact rounds down to zero" | |
| 4205 | (* 1/2 (expt 2 (- dbl-min-exp dbl-mant-dig))) | |
| 4206 | 0.0) | |
| 4207 | ||
| 4208 | (test "just over 1/2 smallest inexact rounds up" | |
| 4209 | (+ (* 1/2 (expt 2 (- dbl-min-exp dbl-mant-dig))) | |
| 4210 | (expt 7 (- dbl-min-exp dbl-mant-dig))) | |
| 4211 | (expt 2.0 (- dbl-min-exp dbl-mant-dig))) | |
| 4212 | ||
| 4213 | (test "3/2 smallest inexact rounds up to twice smallest inexact" | |
| 4214 | (* 3/2 (expt 2 (- dbl-min-exp dbl-mant-dig))) | |
| 4215 | (* 2.0 (expt 2.0 (- dbl-min-exp dbl-mant-dig)))) | |
| 4216 | ||
| 4217 | (test "just under 3/2 smallest inexact rounds down" | |
| 4218 | (- (* 3/2 (expt 2 (- dbl-min-exp dbl-mant-dig))) | |
| 4219 | (expt 11 (- dbl-min-exp dbl-mant-dig))) | |
| 4220 | (expt 2.0 (- dbl-min-exp dbl-mant-dig))) | |
| 4221 | ||
| 4222 | (test "5/2 smallest inexact rounds down to twice smallest inexact" | |
| 4223 | (* 5/2 (expt 2 (- dbl-min-exp dbl-mant-dig))) | |
| 4224 | (* 2.0 (expt 2.0 (- dbl-min-exp dbl-mant-dig)))) | |
| 4225 | ||
| 4226 | (test "just over 5/2 smallest inexact rounds up" | |
| 4227 | (+ (* 5/2 (expt 2 (- dbl-min-exp dbl-mant-dig))) | |
| 4228 | (expt 13 (- dbl-min-exp dbl-mant-dig))) | |
| 4229 | (* 3.0 (expt 2.0 (- dbl-min-exp dbl-mant-dig)))) | |
| 4230 | ||
| 4231 | (test "one plus dbl-epsilon" | |
| 4232 | (+ 1 dbl-epsilon-exact) | |
| 4233 | (+ 1.0 dbl-epsilon)) | |
| 4234 | ||
| 4235 | (test "one plus 1/2 dbl-epsilon rounds down to 1.0" | |
| 4236 | (+ 1 (* 1/2 dbl-epsilon-exact)) | |
| 4237 | 1.0) | |
| 4238 | ||
| 4239 | (test "just over one plus 1/2 dbl-epsilon rounds up" | |
| 4240 | (+ 1 | |
| 4241 | (* 1/2 dbl-epsilon-exact) | |
| 4242 | (expt 13 (- dbl-min-exp dbl-mant-dig))) | |
| 4243 | (+ 1.0 dbl-epsilon)) | |
| 4244 | ||
| 4245 | (test "one plus 3/2 dbl-epsilon rounds up" | |
| 4246 | (+ 1 (* 3/2 dbl-epsilon-exact)) | |
| 4247 | (+ 1.0 (* 2.0 dbl-epsilon))) | |
| 4248 | ||
| 4249 | (test "just under one plus 3/2 dbl-epsilon rounds down" | |
| 4250 | (+ 1 | |
| 4251 | (* 3/2 dbl-epsilon-exact) | |
| 4252 | (- (expt 17 (- dbl-min-exp dbl-mant-dig)))) | |
| 4253 | (+ 1.0 dbl-epsilon)) | |
| 4254 | ||
| 4255 | (test "one plus 5/2 dbl-epsilon rounds down" | |
| 4256 | (+ 1 (* 5/2 dbl-epsilon-exact)) | |
| 4257 | (+ 1.0 (* 2.0 dbl-epsilon))) | |
| 4258 | ||
| 4259 | (test "just over one plus 5/2 dbl-epsilon rounds up" | |
| 4260 | (+ 1 | |
| 4261 | (* 5/2 dbl-epsilon-exact) | |
| 4262 | (expt 13 (- dbl-min-exp dbl-mant-dig))) | |
| 4263 | (+ 1.0 (* 3.0 dbl-epsilon))) | |
| 4264 | ||
| 4265 | (test "largest finite inexact" | |
| 4266 | (* (- (expt 2 dbl-mant-dig) 1) | |
| 4267 | (expt 2 (- dbl-max-exp dbl-mant-dig))) | |
| 4268 | (* (- (expt 2.0 dbl-mant-dig) 1) | |
| 4269 | (expt 2.0 (- dbl-max-exp dbl-mant-dig)))) | |
| 4270 | ||
| 4271 | (test "largest finite inexact plus 1/2 epsilon rounds up to infinity" | |
| 4272 | (* (+ (expt 2 dbl-mant-dig) -1 1/2) | |
| 4273 | (expt 2 (- dbl-max-exp dbl-mant-dig))) | |
| 4274 | (inf)) | |
| 4275 | ||
| 4276 | (test "largest finite inexact plus just under 1/2 epsilon rounds down" | |
| 4277 | (* (+ (expt 2 dbl-mant-dig) -1 1/2 | |
| 4278 | (- (expt 13 (- dbl-min-exp dbl-mant-dig)))) | |
| 4279 | (expt 2 (- dbl-max-exp dbl-mant-dig))) | |
| 4280 | (* (- (expt 2.0 dbl-mant-dig) 1) | |
| 4281 | (expt 2.0 (- dbl-max-exp dbl-mant-dig)))) | |
| 4282 | ||
| 4283 | (test "1/2 largest finite inexact" | |
| 4284 | (* (- (expt 2 dbl-mant-dig) 1) | |
| 4285 | (expt 2 (- dbl-max-exp dbl-mant-dig 1))) | |
| 4286 | (* (- (expt 2.0 dbl-mant-dig) 1) | |
| 4287 | (expt 2.0 (- dbl-max-exp dbl-mant-dig 1)))) | |
| 4288 | ||
| 4289 | (test "1/2 largest finite inexact plus 1/2 epsilon rounds up to next power of two" | |
| 4290 | (* (+ (expt 2 dbl-mant-dig) -1 1/2) | |
| 4291 | (expt 2 (- dbl-max-exp dbl-mant-dig 1))) | |
| 4292 | (expt 2.0 (- dbl-max-exp 1))) | |
| 4293 | ||
| 4294 | (test "1/2 largest finite inexact plus just over 1/2 epsilon rounds up to next power of two" | |
| 4295 | (* (+ (expt 2 dbl-mant-dig) -1 1/2 | |
| 4296 | (expt 13 (- dbl-min-exp dbl-mant-dig))) | |
| 4297 | (expt 2 (- dbl-max-exp dbl-mant-dig 1))) | |
| 4298 | (expt 2.0 (- dbl-max-exp 1))) | |
| 4299 | ||
| 4300 | (test "1/2 largest finite inexact plus just under 1/2 epsilon rounds down" | |
| 4301 | (* (+ (expt 2 dbl-mant-dig) -1 1/2 | |
| 4302 | (- (expt 13 (- dbl-min-exp dbl-mant-dig)))) | |
| 4303 | (expt 2 (- dbl-max-exp dbl-mant-dig 1))) | |
| 4304 | (* (- (expt 2.0 dbl-mant-dig) 1) | |
| 4305 | (expt 2.0 (- dbl-max-exp dbl-mant-dig 1)))) | |
| 4306 | ||
| 4307 | ) | |
| a1fb3b1c | 4308 | |
| 46f2c0f1 RB |
4309 | ;;; |
| 4310 | ;;; expt | |
| 4311 | ;;; | |
| 4312 | ||
| 4313 | (with-test-prefix "expt" | |
| 2519490c | 4314 | (pass-if (documented? expt)) |
| bfe1f03a MW |
4315 | |
| 4316 | ;; | |
| 4317 | ;; expt no longer requires its first argument to be a scheme number, | |
| 4318 | ;; for the sake of extensibility, and expt calls integer-expt for | |
| 4319 | ;; integer powers. To raise to a positive power, all that is required | |
| 4320 | ;; is that it can be multiplied using `*'. For negative powers we | |
| 4321 | ;; must also be able to find the reciprocal. If we try to raise #t to | |
| 4322 | ;; any power other than 0 or 1 it may throw an exception, depending on | |
| 4323 | ;; whether * has been defined for #t. However, when raising to the 0 | |
| 4324 | ;; or 1 power, the first argument is not manipulated at all. | |
| 4325 | ;; | |
| 4326 | ;; (pass-if-exception "non-numeric base" exception:wrong-type-arg | |
| 4327 | ;; (expt #t 0)) | |
| 4328 | ;; | |
| 4329 | ||
| 01c7284a MW |
4330 | (pass-if (eqv? 1 (expt 0 0))) |
| 4331 | (pass-if (eqv? 1 (expt 0.0 0))) | |
| 4332 | (pass-if (eqv? 1.0 (expt 0 0.0))) | |
| 4333 | (pass-if (eqv? 1.0 (expt 0.0 0.0))) | |
| 55a8b708 MW |
4334 | (pass-if (real-nan? (expt 0 -1))) |
| 4335 | (pass-if (real-nan? (expt 0 -1.0))) | |
| 4336 | (pass-if (real-nan? (expt 0.0 -1))) | |
| 4337 | (pass-if (real-nan? (expt 0.0 -1.0))) | |
| 01c7284a MW |
4338 | (pass-if (eqv? 0 (expt 0 3))) |
| 4339 | (pass-if (= 0 (expt 0 4.0))) | |
| 4340 | (pass-if (eqv? 0.0 (expt 0.0 5))) | |
| 4341 | (pass-if (eqv? 0.0 (expt 0.0 6.0))) | |
| 4342 | (pass-if (eqv? -2742638075.5 (expt -2742638075.5 1))) | |
| 4343 | (pass-if (eqv? (* -2742638075.5 -2742638075.5) | |
| 4344 | (expt -2742638075.5 2))) | |
| 4345 | (pass-if (eqv? 4.0 (expt -2.0 2.0))) | |
| 4346 | (pass-if (eqv? -1/8 (expt -2 -3))) | |
| 4347 | (pass-if (eqv? -0.125 (expt -2.0 -3))) | |
| 4348 | (pass-if (eqv? -0.125 (expt -2 -3.0))) | |
| 4349 | (pass-if (eqv? -0.125 (expt -2.0 -3.0))) | |
| 4350 | (pass-if (eqv? 0.25 (expt 2.0 -2.0))) | |
| a285b18c MW |
4351 | (pass-if (eqv? 32/243 (expt 2/3 5))) |
| 4352 | (pass-if (eqv? 243/32 (expt 2/3 -5))) | |
| 4353 | (pass-if (eqv? 32 (expt 1/2 -5))) | |
| c7218482 | 4354 | (pass-if (test-eqv? (* -1.0+0.0i 12398 12398) (expt +12398i 2.0))) |
| 01c7284a MW |
4355 | (pass-if (eqv-loosely? +i (expt -1 0.5))) |
| 4356 | (pass-if (eqv-loosely? +i (expt -1 1/2))) | |
| 8e43ed5d AW |
4357 | (pass-if (eqv-loosely? 1.0+1.7320508075688i (expt -8 1/3))) |
| 4358 | (pass-if (eqv? +inf.0 (expt 2 +inf.0))) | |
| 4359 | (pass-if (eqv? +inf.0 (expt 2.0 +inf.0))) | |
| 4360 | (pass-if (eqv? 0.0 (expt 2 -inf.0))) | |
| 4361 | (pass-if (eqv? 0.0 (expt 2.0 -inf.0)))) | |
| 01c7284a | 4362 | |
| 46f2c0f1 | 4363 | |
| 8deddc94 MW |
4364 | ;;; |
| 4365 | ;;; sin | |
| 4366 | ;;; | |
| 4367 | ||
| 4368 | (with-test-prefix "sin" | |
| 4369 | (pass-if (eqv? 0 (sin 0))) | |
| 4370 | (pass-if (eqv? 0.0 (sin 0.0))) | |
| 4371 | (pass-if (eqv-loosely? 1.0 (sin 1.57))) | |
| 4372 | (pass-if (eqv-loosely? +1.175i (sin +i))) | |
| 4373 | (pass-if (real-nan? (sin +nan.0))) | |
| 4374 | (pass-if (real-nan? (sin +inf.0))) | |
| 4375 | (pass-if (real-nan? (sin -inf.0)))) | |
| 4376 | ||
| 4377 | ;;; | |
| 4378 | ;;; cos | |
| 4379 | ;;; | |
| 4380 | ||
| 4381 | (with-test-prefix "cos" | |
| 4382 | (pass-if (eqv? 1 (cos 0))) | |
| 4383 | (pass-if (eqv? 1.0 (cos 0.0))) | |
| 4384 | (pass-if (eqv-loosely? 0.0 (cos 1.57))) | |
| 4385 | (pass-if (eqv-loosely? 1.543 (cos +i))) | |
| 4386 | (pass-if (real-nan? (cos +nan.0))) | |
| 4387 | (pass-if (real-nan? (cos +inf.0))) | |
| 4388 | (pass-if (real-nan? (cos -inf.0)))) | |
| 4389 | ||
| 4390 | ;;; | |
| 4391 | ;;; tan | |
| 4392 | ;;; | |
| 4393 | ||
| 4394 | (with-test-prefix "tan" | |
| 4395 | (pass-if (eqv? 0 (tan 0))) | |
| 4396 | (pass-if (eqv? 0.0 (tan 0.0))) | |
| 4397 | (pass-if (eqv-loosely? 1.0 (tan 0.785))) | |
| 4398 | (pass-if (eqv-loosely? +0.76i (tan +i))) | |
| 4399 | (pass-if (real-nan? (tan +nan.0))) | |
| 4400 | (pass-if (real-nan? (tan +inf.0))) | |
| 4401 | (pass-if (real-nan? (tan -inf.0)))) | |
| 4402 | ||
| 4403 | ;;; | |
| 4404 | ;;; asin | |
| 4405 | ;;; | |
| 4406 | ||
| 4407 | (with-test-prefix "asin" | |
| 4408 | (pass-if (complex-nan? (asin +nan.0))) | |
| 4409 | (pass-if (eqv? 0 (asin 0))) | |
| 4410 | (pass-if (eqv? 0.0 (asin 0.0)))) | |
| 4411 | ||
| 4412 | ;;; | |
| 4413 | ;;; acos | |
| 4414 | ;;; | |
| 4415 | ||
| 4416 | (with-test-prefix "acos" | |
| 4417 | (pass-if (complex-nan? (acos +nan.0))) | |
| 4418 | (pass-if (eqv? 0 (acos 1))) | |
| 4419 | (pass-if (eqv? 0.0 (acos 1.0)))) | |
| 4420 | ||
| 4421 | ;;; | |
| 4422 | ;;; atan | |
| 4423 | ;;; | |
| 4424 | ;;; FIXME: add tests for two-argument atan | |
| 4425 | ;;; | |
| 4426 | (with-test-prefix "atan" | |
| 4427 | (pass-if (real-nan? (atan +nan.0))) | |
| 4428 | (pass-if (eqv? 0 (atan 0))) | |
| 4429 | (pass-if (eqv? 0.0 (atan 0.0))) | |
| 4430 | (pass-if (eqv-loosely? 1.57 (atan +inf.0))) | |
| 4431 | (pass-if (eqv-loosely? -1.57 (atan -inf.0)))) | |
| 4432 | ||
| 4433 | ;;; | |
| 4434 | ;;; sinh | |
| 4435 | ;;; | |
| 4436 | ||
| 4437 | (with-test-prefix "sinh" | |
| 4438 | (pass-if (= 0 (sinh 0))) | |
| 4439 | (pass-if (= 0.0 (sinh 0.0)))) | |
| 4440 | ||
| 4441 | ;;; | |
| 4442 | ;;; cosh | |
| 4443 | ;;; | |
| 4444 | ||
| 4445 | (with-test-prefix "cosh" | |
| 4446 | (pass-if (= 1 (cosh 0))) | |
| 4447 | (pass-if (= 1.0 (cosh 0.0)))) | |
| 4448 | ||
| 4449 | ;;; | |
| 4450 | ;;; tanh | |
| 4451 | ;;; | |
| 4452 | ||
| 4453 | (with-test-prefix "tanh" | |
| 4454 | (pass-if (= 0 (tanh 0))) | |
| 4455 | (pass-if (= 0.0 (tanh 0.0)))) | |
| 4456 | ||
| 14a6784c KR |
4457 | ;;; |
| 4458 | ;;; asinh | |
| 4459 | ;;; | |
| 4460 | ||
| 4461 | (with-test-prefix "asinh" | |
| 8deddc94 MW |
4462 | (pass-if (= 0 (asinh 0))) |
| 4463 | (pass-if (= 0.0 (asinh 0.0)))) | |
| 14a6784c KR |
4464 | |
| 4465 | ;;; | |
| 4466 | ;;; acosh | |
| 4467 | ;;; | |
| 4468 | ||
| 4469 | (with-test-prefix "acosh" | |
| 8deddc94 MW |
4470 | (pass-if (= 0 (acosh 1))) |
| 4471 | (pass-if (= 0.0 (acosh 1.0)))) | |
| 14a6784c KR |
4472 | |
| 4473 | ;;; | |
| 4474 | ;;; atanh | |
| 4475 | ;;; | |
| 4476 | ||
| 4477 | (with-test-prefix "atanh" | |
| 8deddc94 MW |
4478 | (pass-if (= 0 (atanh 0))) |
| 4479 | (pass-if (= 0.0 (atanh 0.0)))) | |
| 14a6784c | 4480 | |
| f29b3454 DH |
4481 | ;;; |
| 4482 | ;;; make-rectangular | |
| 4483 | ;;; | |
| c7218482 MW |
4484 | |
| 4485 | (with-test-prefix "make-rectangular" | |
| 4486 | (pass-if (real? (make-rectangular 5.0 0 ))) | |
| 4487 | (pass-if (not (real? (make-rectangular 5.0 0.0)))) | |
| 4488 | (pass-if (not (real? (make-rectangular 5.0 -0.0))))) | |
| f29b3454 DH |
4489 | |
| 4490 | ;;; | |
| 4491 | ;;; make-polar | |
| 4492 | ;;; | |
| 4493 | ||
| d40681ec KR |
4494 | (with-test-prefix "make-polar" |
| 4495 | (define pi 3.14159265358979323846) | |
| 4496 | (define (almost= x y) | |
| 4497 | (> 0.01 (magnitude (- x y)))) | |
| 4498 | ||
| c7218482 MW |
4499 | (pass-if (real? (make-polar 0 1.0))) |
| 4500 | (pass-if (real? (make-polar 5.0 0 ))) | |
| 4501 | (pass-if (not (real? (make-polar 5.0 0.0)))) | |
| 4502 | (pass-if (not (real? (make-polar 5.0 -0.0)))) | |
| 4503 | ||
| 4504 | (pass-if (eqv? 0 (make-polar 0 0))) | |
| 4505 | (pass-if (eqv? 0 (make-polar 0 123.456))) | |
| 4506 | (pass-if (eqv? 1 (make-polar 1 0))) | |
| 4507 | (pass-if (eqv? -1 (make-polar -1 0))) | |
| d40681ec KR |
4508 | |
| 4509 | (pass-if (almost= 0+i (make-polar 1 (* 0.5 pi)))) | |
| 4510 | (pass-if (almost= -1 (make-polar 1 (* 1.0 pi)))) | |
| 4511 | (pass-if (almost= 0-i (make-polar 1 (* 1.5 pi)))) | |
| 4512 | (pass-if (almost= 1 (make-polar 1 (* 2.0 pi))))) | |
| 4513 | ||
| f29b3454 DH |
4514 | ;;; |
| 4515 | ;;; real-part | |
| 4516 | ;;; | |
| 4517 | ||
| 2519490c MW |
4518 | (with-test-prefix "real-part" |
| 4519 | (pass-if (documented? real-part)) | |
| 4520 | (pass-if (eqv? 5.0 (real-part 5.0))) | |
| 4521 | (pass-if (eqv? 0.0 (real-part +5.0i))) | |
| 4522 | (pass-if (eqv? 5 (real-part 5))) | |
| 4523 | (pass-if (eqv? 1/5 (real-part 1/5))) | |
| 4524 | (pass-if (eqv? (1+ fixnum-max) (real-part (1+ fixnum-max))))) | |
| 4525 | ||
| f29b3454 DH |
4526 | ;;; |
| 4527 | ;;; imag-part | |
| 4528 | ;;; | |
| 4529 | ||
| 2519490c MW |
4530 | (with-test-prefix "imag-part" |
| 4531 | (pass-if (documented? imag-part)) | |
| c7218482 | 4532 | (pass-if (eqv? 0 (imag-part 5.0))) |
| 2519490c MW |
4533 | (pass-if (eqv? 5.0 (imag-part +5.0i))) |
| 4534 | (pass-if (eqv? 0 (imag-part 5))) | |
| 4535 | (pass-if (eqv? 0 (imag-part 1/5))) | |
| 4536 | (pass-if (eqv? 0 (imag-part (1+ fixnum-max))))) | |
| 4537 | ||
| f29b3454 DH |
4538 | ;;; |
| 4539 | ;;; magnitude | |
| 4540 | ;;; | |
| 4541 | ||
| d40681ec | 4542 | (with-test-prefix "magnitude" |
| 2519490c | 4543 | (pass-if (documented? magnitude)) |
| d40681ec KR |
4544 | (pass-if (= 0 (magnitude 0))) |
| 4545 | (pass-if (= 1 (magnitude 1))) | |
| 4546 | (pass-if (= 1 (magnitude -1))) | |
| 4547 | (pass-if (= 1 (magnitude 0+i))) | |
| 4548 | (pass-if (= 1 (magnitude 0-i))) | |
| 4549 | (pass-if (= 5 (magnitude 3+4i))) | |
| 4550 | (pass-if (= 5 (magnitude 3-4i))) | |
| 4551 | (pass-if (= 5 (magnitude -3+4i))) | |
| 4552 | (pass-if (= 5 (magnitude -3-4i)))) | |
| 4553 | ||
| f29b3454 DH |
4554 | ;;; |
| 4555 | ;;; angle | |
| 4556 | ;;; | |
| 4557 | ||
| cfc9fc1c KR |
4558 | (with-test-prefix "angle" |
| 4559 | (define pi 3.14159265358979323846) | |
| 4560 | (define (almost= x y) | |
| 10a97755 | 4561 | (> 0.000001 (magnitude (- x y)))) |
| cfc9fc1c | 4562 | |
| 2519490c MW |
4563 | (pass-if (documented? angle)) |
| 4564 | ||
| cfc9fc1c KR |
4565 | (pass-if "inum +ve" (= 0 (angle 1))) |
| 4566 | (pass-if "inum -ve" (almost= pi (angle -1))) | |
| 4567 | ||
| 4568 | (pass-if "bignum +ve" (= 0 (angle (1+ fixnum-max)))) | |
| 4569 | (pass-if "bignum -ve" (almost= pi (angle (1- fixnum-min)))) | |
| 4570 | ||
| 4571 | (pass-if "flonum +ve" (= 0 (angle 1.5))) | |
| 10a97755 MW |
4572 | (pass-if "flonum -ve" (almost= pi (angle -1.5))) |
| 4573 | ||
| 4574 | (pass-if "signed zero +ve" (= 0 (angle 0.0))) | |
| 4575 | (pass-if "signed zero -ve" (almost= pi (angle -0.0)))) | |
| cfc9fc1c | 4576 | |
| f29b3454 DH |
4577 | ;;; |
| 4578 | ;;; inexact->exact | |
| 4579 | ;;; | |
| 300c6a76 | 4580 | |
| 1259cb26 | 4581 | (with-test-prefix "inexact->exact" |
| 24475b86 MW |
4582 | |
| 4583 | ;; Test "(inexact->exact f)", expect "want". | |
| 4584 | (define (test name f want) | |
| 4585 | (with-test-prefix name | |
| 4586 | (pass-if-equal "pos" want (inexact->exact f)) | |
| 4587 | (pass-if-equal "neg" (- want) (inexact->exact (- f))))) | |
| 4588 | ||
| 2519490c MW |
4589 | (pass-if (documented? inexact->exact)) |
| 4590 | ||
| 9dd9857f | 4591 | (pass-if-exception "+inf" exception:out-of-range |
| a409f865 | 4592 | (inexact->exact +inf.0)) |
| 1259cb26 | 4593 | |
| 9dd9857f | 4594 | (pass-if-exception "-inf" exception:out-of-range |
| a409f865 | 4595 | (inexact->exact -inf.0)) |
| 1259cb26 | 4596 | |
| 9dd9857f | 4597 | (pass-if-exception "nan" exception:out-of-range |
| a409f865 | 4598 | (inexact->exact +nan.0)) |
| 24475b86 MW |
4599 | |
| 4600 | (test "0.0" 0.0 0) | |
| 4601 | (test "small even integer" 72.0 72) | |
| 4602 | (test "small odd integer" 73.0 73) | |
| 4603 | ||
| 4604 | (test "largest inexact odd integer" | |
| 4605 | (- (expt 2.0 dbl-mant-dig) 1) | |
| 4606 | (- (expt 2 dbl-mant-dig) 1)) | |
| 4607 | ||
| 4608 | (test "largest inexact odd integer - 1" | |
| 4609 | (- (expt 2.0 dbl-mant-dig) 2) | |
| 4610 | (- (expt 2 dbl-mant-dig) 2)) | |
| 4611 | ||
| 4612 | (test "largest inexact odd integer + 3" | |
| 4613 | (+ (expt 2.0 dbl-mant-dig) 2) | |
| 4614 | (+ (expt 2 dbl-mant-dig) 2)) | |
| 4615 | ||
| 4616 | (test "largest inexact odd integer * 2^48" | |
| 4617 | (* (expt 2.0 48) (- (expt 2.0 dbl-mant-dig) 1)) | |
| 4618 | (* (expt 2 48) (- (expt 2 dbl-mant-dig) 1))) | |
| 4619 | ||
| 4620 | (test "largest inexact odd integer / 2^48" | |
| 4621 | (* (expt 0.5 48) (- (expt 2.0 dbl-mant-dig) 1)) | |
| 4622 | (* (expt 1/2 48) (- (expt 2 dbl-mant-dig) 1))) | |
| 4623 | ||
| 98237784 MW |
4624 | (test "largest finite inexact" |
| 4625 | (* (- (expt 2.0 dbl-mant-dig) 1) | |
| 4626 | (expt 2.0 (- dbl-max-exp dbl-mant-dig))) | |
| 4627 | (* (- (expt 2 dbl-mant-dig) 1) | |
| 4628 | (expt 2 (- dbl-max-exp dbl-mant-dig)))) | |
| 4629 | ||
| 24475b86 MW |
4630 | (test "smallest inexact" |
| 4631 | (expt 2.0 (- dbl-min-exp dbl-mant-dig)) | |
| 4632 | (expt 2 (- dbl-min-exp dbl-mant-dig))) | |
| 4633 | ||
| 4634 | (test "smallest inexact * 2" | |
| 4635 | (* 2.0 (expt 2.0 (- dbl-min-exp dbl-mant-dig))) | |
| 4636 | (* 2 (expt 2 (- dbl-min-exp dbl-mant-dig)))) | |
| 4637 | ||
| 4638 | (test "smallest inexact * 3" | |
| 4639 | (* 3.0 (expt 2.0 (- dbl-min-exp dbl-mant-dig))) | |
| 4640 | (* 3 (expt 2 (- dbl-min-exp dbl-mant-dig)))) | |
| 4641 | ||
| 4642 | (with-test-prefix "2.0**i to exact" | |
| 1259cb26 | 4643 | (do ((i 0 (1+ i)) |
| 24475b86 MW |
4644 | (n 1 (* 2 n)) |
| 4645 | (f 1.0 (* 2.0 f))) | |
| 1259cb26 | 4646 | ((> i 100)) |
| 24475b86 | 4647 | (test (list i n) f n)))) |
| 1259cb26 | 4648 | |
| c1122753 KR |
4649 | ;;; |
| 4650 | ;;; integer-expt | |
| 4651 | ;;; | |
| 4652 | ||
| 4653 | (with-test-prefix "integer-expt" | |
| 2519490c | 4654 | (pass-if (documented? integer-expt)) |
| c1122753 KR |
4655 | |
| 4656 | (pass-if-exception "2^+inf" exception:wrong-type-arg | |
| 4657 | (integer-expt 2 +inf.0)) | |
| 4658 | (pass-if-exception "2^-inf" exception:wrong-type-arg | |
| 4659 | (integer-expt 2 -inf.0)) | |
| 4660 | (pass-if-exception "2^nan" exception:wrong-type-arg | |
| 01c7284a MW |
4661 | (integer-expt 2 +nan.0)) |
| 4662 | ||
| 4663 | (pass-if (eqv? 1 (integer-expt 0 0))) | |
| 4664 | (pass-if (eqv? 1 (integer-expt 0.0 0))) | |
| 55a8b708 MW |
4665 | (pass-if (real-nan? (integer-expt 0 -1))) |
| 4666 | (pass-if (real-nan? (integer-expt 0.0 -1))) | |
| 01c7284a MW |
4667 | (pass-if (eqv? 0 (integer-expt 0 3))) |
| 4668 | (pass-if (eqv? 0.0 (integer-expt 0.0 5))) | |
| 4669 | (pass-if (eqv? -2742638075.5 (integer-expt -2742638075.5 1))) | |
| 4670 | (pass-if (eqv? (* -2742638075.5 -2742638075.5) | |
| 4671 | (integer-expt -2742638075.5 2))) | |
| 4672 | (pass-if (eqv? 4.0 (integer-expt -2.0 2))) | |
| 4673 | (pass-if (eqv? -1/8 (integer-expt -2 -3))) | |
| 4674 | (pass-if (eqv? -0.125 (integer-expt -2.0 -3))) | |
| 4675 | (pass-if (eqv? 0.25 (integer-expt 2.0 -2))) | |
| a285b18c MW |
4676 | (pass-if (eqv? 32/243 (integer-expt 2/3 5))) |
| 4677 | (pass-if (eqv? 243/32 (integer-expt 2/3 -5))) | |
| 4678 | (pass-if (eqv? 32 (integer-expt 1/2 -5))) | |
| c7218482 | 4679 | (pass-if (test-eqv? (* -1.0+0.0i 12398 12398) (integer-expt +12398.0i 2)))) |
| 01c7284a | 4680 | |
| c1122753 | 4681 | |
| a04a3604 KR |
4682 | ;;; |
| 4683 | ;;; integer-length | |
| 4684 | ;;; | |
| 4685 | ||
| 4686 | (with-test-prefix "integer-length" | |
| 2519490c | 4687 | (pass-if (documented? integer-length)) |
| a04a3604 KR |
4688 | |
| 4689 | (with-test-prefix "-2^i, ...11100..00" | |
| 4690 | (do ((n -1 (ash n 1)) | |
| 4691 | (i 0 (1+ i))) | |
| 4692 | ((> i 256)) | |
| 4693 | (pass-if (list n "expect" i) | |
| 4694 | (= i (integer-length n))))) | |
| 4695 | ||
| 4696 | (with-test-prefix "-2^i+1 ...11100..01" | |
| 4697 | (do ((n -3 (logxor 3 (ash n 1))) | |
| 4698 | (i 2 (1+ i))) | |
| 4699 | ((> i 256)) | |
| 4700 | (pass-if n | |
| 4701 | (= i (integer-length n))))) | |
| 4702 | ||
| 4703 | (with-test-prefix "-2^i-1 ...111011..11" | |
| 4704 | (do ((n -2 (1+ (ash n 1))) | |
| 4705 | (i 1 (1+ i))) | |
| 4706 | ((> i 256)) | |
| 4707 | (pass-if n | |
| 4708 | (= i (integer-length n)))))) | |
| 4709 | ||
| 8ab3d8a0 KR |
4710 | ;;; |
| 4711 | ;;; log | |
| 4712 | ;;; | |
| 4713 | ||
| 4714 | (with-test-prefix "log" | |
| 2519490c | 4715 | (pass-if (documented? log)) |
| 8ab3d8a0 KR |
4716 | |
| 4717 | (pass-if-exception "no args" exception:wrong-num-args | |
| 4718 | (log)) | |
| 4719 | (pass-if-exception "two args" exception:wrong-num-args | |
| 4720 | (log 123 456)) | |
| a5f6b751 MW |
4721 | (pass-if-exception "(log 0)" exception:numerical-overflow |
| 4722 | (log 0)) | |
| 4723 | ||
| 4724 | (pass-if (test-eqv? -inf.0 (log 0.0))) | |
| 4725 | (pass-if (test-eqv? +inf.0 (log +inf.0))) | |
| 4726 | (pass-if (test-eqv? -inf.0+3.14159265358979i (log -0.0))) | |
| 4727 | (pass-if (test-eqv? +inf.0+3.14159265358979i (log -inf.0))) | |
| 4728 | (pass-if (test-eqv? 0.0 (log 1 ))) | |
| 4729 | (pass-if (test-eqv? 0.0 (log 1.0))) | |
| 4730 | (pass-if (test-eqv? 1.0 (log const-e))) | |
| 4731 | (pass-if (test-eqv? 2.0 (log const-e^2))) | |
| 4732 | (pass-if (test-eqv? -1.0 (log const-1/e))) | |
| 4733 | (pass-if (test-eqv? -1.0+3.14159265358979i (log (- const-1/e)))) | |
| 4734 | (pass-if (test-eqv? 2.30258509299405 (log 10))) | |
| 4735 | (pass-if (test-eqv? 2.30258509299405+3.14159265358979i (log -10))) | |
| 4736 | ||
| 4737 | (pass-if (test-eqv? 1.0+0.0i (log (+ const-e +0.0i)))) | |
| 4738 | (pass-if (test-eqv? 1.0-0.0i (log (+ const-e -0.0i)))) | |
| 4739 | ||
| 4740 | (pass-if (eqv-loosely? 230258.509299405 (log (expt 10 100000)))) | |
| 4741 | (pass-if (eqv-loosely? -230258.509299405 (log (expt 10 -100000)))) | |
| 4742 | (pass-if (eqv-loosely? 230257.410687116 (log (/ (expt 10 100000) 3)))) | |
| 4743 | (pass-if (eqv-loosely? 230258.509299405+3.14159265358979i | |
| 4744 | (log (- (expt 10 100000))))) | |
| 4745 | (pass-if (eqv-loosely? -230258.509299405+3.14159265358979i | |
| 4746 | (log (- (expt 10 -100000))))) | |
| 4747 | (pass-if (eqv-loosely? 230257.410687116+3.14159265358979i | |
| 4748 | (log (- (/ (expt 10 100000) 3))))) | |
| 4749 | (pass-if (test-eqv? 3.05493636349961e-151 | |
| 4750 | (log (/ (1+ (expt 2 500)) (expt 2 500))))) | |
| 8ab3d8a0 KR |
4751 | |
| 4752 | (pass-if (eqv-loosely? 1.0+1.57079i (log 0+2.71828i))) | |
| 4753 | (pass-if (eqv-loosely? 1.0-1.57079i (log 0-2.71828i))) | |
| 4754 | ||
| 4755 | (pass-if (eqv-loosely? 0.0+3.14159i (log -1.0))) | |
| 4756 | (pass-if (eqv-loosely? 1.0+3.14159i (log -2.71828))) | |
| 4757 | (pass-if (eqv-loosely? 2.0+3.14159i (log (* -2.71828 2.71828))))) | |
| 4758 | ||
| 4759 | ;;; | |
| 4760 | ;;; log10 | |
| 4761 | ;;; | |
| 4762 | ||
| 4763 | (with-test-prefix "log10" | |
| 2519490c | 4764 | (pass-if (documented? log10)) |
| 8ab3d8a0 KR |
4765 | |
| 4766 | (pass-if-exception "no args" exception:wrong-num-args | |
| 4767 | (log10)) | |
| 4768 | (pass-if-exception "two args" exception:wrong-num-args | |
| 4769 | (log10 123 456)) | |
| a5f6b751 MW |
4770 | (pass-if-exception "(log10 0)" exception:numerical-overflow |
| 4771 | (log10 0)) | |
| 4772 | ||
| 4773 | (pass-if (test-eqv? -inf.0 (log10 0.0))) | |
| 4774 | (pass-if (test-eqv? +inf.0 (log10 +inf.0))) | |
| 4775 | (pass-if (test-eqv? -inf.0+1.36437635384184i (log10 -0.0))) | |
| 4776 | (pass-if (test-eqv? +inf.0+1.36437635384184i (log10 -inf.0))) | |
| 4777 | (pass-if (test-eqv? 0.0 (log10 1 ))) | |
| 4778 | (pass-if (test-eqv? 0.0 (log10 1.0))) | |
| 4779 | (pass-if (test-eqv? 1.0 (log10 10 ))) | |
| 4780 | (pass-if (test-eqv? 1.0 (log10 10.0))) | |
| 4781 | (pass-if (test-eqv? 2.0 (log10 100.0))) | |
| 4782 | (pass-if (test-eqv? -1.0 (log10 0.1))) | |
| 4783 | (pass-if (test-eqv? -1.0+1.36437635384184i (log10 -0.1))) | |
| 4784 | (pass-if (test-eqv? 1.0+1.36437635384184i (log10 -10 ))) | |
| 4785 | ||
| 4786 | (pass-if (test-eqv? 1.0+0.0i (log10 10.0+0.0i))) | |
| 4787 | (pass-if (test-eqv? 1.0-0.0i (log10 10.0-0.0i))) | |
| 4788 | ||
| 4789 | (pass-if (eqv-loosely? 100000.0 (log10 (expt 10 100000)))) | |
| 4790 | (pass-if (eqv-loosely? -100000.0 (log10 (expt 10 -100000)))) | |
| 4791 | (pass-if (eqv-loosely? 99999.5228787453 (log10 (/ (expt 10 100000) 3)))) | |
| 4792 | (pass-if (eqv-loosely? 100000.0+1.36437635384184i | |
| 4793 | (log10 (- (expt 10 100000))))) | |
| 4794 | (pass-if (eqv-loosely? -100000.0+1.36437635384184i | |
| 4795 | (log10 (- (expt 10 -100000))))) | |
| 4796 | (pass-if (eqv-loosely? 99999.5228787453+1.36437635384184i | |
| 4797 | (log10 (- (/ (expt 10 100000) 3))))) | |
| 4798 | (pass-if (test-eqv? 1.32674200523347e-151 | |
| 4799 | (log10 (/ (1+ (expt 2 500)) (expt 2 500))))) | |
| 8ab3d8a0 KR |
4800 | |
| 4801 | (pass-if (eqv-loosely? 1.0+0.68218i (log10 0+10.0i))) | |
| 4802 | (pass-if (eqv-loosely? 1.0-0.68218i (log10 0-10.0i))) | |
| 4803 | ||
| a5f6b751 MW |
4804 | (pass-if (eqv-loosely? 0.0+1.36437i (log10 -1))) |
| 4805 | (pass-if (eqv-loosely? 1.0+1.36437i (log10 -10))) | |
| 8ab3d8a0 KR |
4806 | (pass-if (eqv-loosely? 2.0+1.36437i (log10 -100)))) |
| 4807 | ||
| abff733b KR |
4808 | ;;; |
| 4809 | ;;; logbit? | |
| 4810 | ;;; | |
| 4811 | ||
| 4812 | (with-test-prefix "logbit?" | |
| 2519490c MW |
4813 | (pass-if (documented? logbit?)) |
| 4814 | ||
| abff733b KR |
4815 | (pass-if (eq? #f (logbit? 0 0))) |
| 4816 | (pass-if (eq? #f (logbit? 1 0))) | |
| 4817 | (pass-if (eq? #f (logbit? 31 0))) | |
| 4818 | (pass-if (eq? #f (logbit? 32 0))) | |
| 4819 | (pass-if (eq? #f (logbit? 33 0))) | |
| 4820 | (pass-if (eq? #f (logbit? 63 0))) | |
| 4821 | (pass-if (eq? #f (logbit? 64 0))) | |
| 4822 | (pass-if (eq? #f (logbit? 65 0))) | |
| 4823 | ||
| 4824 | ;; prior to guile 1.6.5, testing bit 32, 64 etc of value 1 would wrap | |
| 4825 | ;; around and return #t where it ought to be #f | |
| 4826 | (pass-if (eq? #t (logbit? 0 1))) | |
| 4827 | (pass-if (eq? #f (logbit? 1 1))) | |
| 4828 | (pass-if (eq? #f (logbit? 31 1))) | |
| 4829 | (pass-if (eq? #f (logbit? 32 1))) | |
| 4830 | (pass-if (eq? #f (logbit? 33 1))) | |
| 4831 | (pass-if (eq? #f (logbit? 63 1))) | |
| 4832 | (pass-if (eq? #f (logbit? 64 1))) | |
| 4833 | (pass-if (eq? #f (logbit? 65 1))) | |
| 4834 | (pass-if (eq? #f (logbit? 128 1))) | |
| 4835 | ||
| 4836 | (pass-if (eq? #t (logbit? 0 -1))) | |
| 4837 | (pass-if (eq? #t (logbit? 1 -1))) | |
| 4838 | (pass-if (eq? #t (logbit? 31 -1))) | |
| 4839 | (pass-if (eq? #t (logbit? 32 -1))) | |
| 4840 | (pass-if (eq? #t (logbit? 33 -1))) | |
| 4841 | (pass-if (eq? #t (logbit? 63 -1))) | |
| 4842 | (pass-if (eq? #t (logbit? 64 -1))) | |
| 4843 | (pass-if (eq? #t (logbit? 65 -1)))) | |
| 4844 | ||
| 300c6a76 KR |
4845 | ;;; |
| 4846 | ;;; logcount | |
| 4847 | ;;; | |
| 4848 | ||
| 4849 | (with-test-prefix "logcount" | |
| 2519490c | 4850 | (pass-if (documented? logcount)) |
| 300c6a76 KR |
4851 | |
| 4852 | (with-test-prefix "-2^i, meaning ...11100..00" | |
| 4853 | (do ((n -1 (ash n 1)) | |
| 4854 | (i 0 (1+ i))) | |
| 4855 | ((> i 256)) | |
| 795c0bae KR |
4856 | (pass-if n |
| 4857 | (= i (logcount n))))) | |
| 4858 | ||
| 4859 | (with-test-prefix "2^i" | |
| 4860 | (do ((n 1 (ash n 1)) | |
| 4861 | (i 0 (1+ i))) | |
| 4862 | ((> i 256)) | |
| 4863 | (pass-if n | |
| 4864 | (= 1 (logcount n))))) | |
| 4865 | ||
| 4866 | (with-test-prefix "2^i-1" | |
| 4867 | (do ((n 0 (1+ (ash n 1))) | |
| 4868 | (i 0 (1+ i))) | |
| 4869 | ((> i 256)) | |
| 300c6a76 KR |
4870 | (pass-if n |
| 4871 | (= i (logcount n)))))) | |
| 795c0bae | 4872 | |
| afd09cfb KR |
4873 | ;;; |
| 4874 | ;;; logior | |
| 4875 | ;;; | |
| 4876 | ||
| 4877 | (with-test-prefix "logior" | |
| 2519490c MW |
4878 | (pass-if (documented? logior)) |
| 4879 | ||
| afd09cfb KR |
4880 | (pass-if (eqv? -1 (logior (ash -1 1) 1))) |
| 4881 | ||
| 4882 | ;; check that bignum or bignum+inum args will reduce to an inum | |
| 4883 | (let () | |
| 4884 | (define (test x y) | |
| 4885 | (pass-if (list x y '=> -1) | |
| 4886 | (eqv? -1 (logior x y))) | |
| 4887 | (pass-if (list y x '=> -1) | |
| 4888 | (eqv? -1 (logior y x)))) | |
| 4889 | (test (ash -1 8) #xFF) | |
| 4890 | (test (ash -1 28) #x0FFFFFFF) | |
| 4891 | (test (ash -1 29) #x1FFFFFFF) | |
| 4892 | (test (ash -1 30) #x3FFFFFFF) | |
| 4893 | (test (ash -1 31) #x7FFFFFFF) | |
| 4894 | (test (ash -1 32) #xFFFFFFFF) | |
| 4895 | (test (ash -1 33) #x1FFFFFFFF) | |
| 4896 | (test (ash -1 60) #x0FFFFFFFFFFFFFFF) | |
| 4897 | (test (ash -1 61) #x1FFFFFFFFFFFFFFF) | |
| 4898 | (test (ash -1 62) #x3FFFFFFFFFFFFFFF) | |
| 4899 | (test (ash -1 63) #x7FFFFFFFFFFFFFFF) | |
| 4900 | (test (ash -1 64) #xFFFFFFFFFFFFFFFF) | |
| 4901 | (test (ash -1 65) #x1FFFFFFFFFFFFFFFF) | |
| 4902 | (test (ash -1 128) #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))) | |
| 4903 | ||
| 1ec2dd6f KR |
4904 | ;;; |
| 4905 | ;;; lognot | |
| 4906 | ;;; | |
| 4907 | ||
| 4908 | (with-test-prefix "lognot" | |
| 2519490c MW |
4909 | (pass-if (documented? lognot)) |
| 4910 | ||
| 1ec2dd6f KR |
4911 | (pass-if (= -1 (lognot 0))) |
| 4912 | (pass-if (= 0 (lognot -1))) | |
| 4913 | (pass-if (= -2 (lognot 1))) | |
| 4914 | (pass-if (= 1 (lognot -2))) | |
| 4915 | ||
| 4916 | (pass-if (= #x-100000000000000000000000000000000 | |
| 4917 | (lognot #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))) | |
| 4918 | (pass-if (= #xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF | |
| 4919 | (lognot #x-100000000000000000000000000000000)))) | |
| 8ab3d8a0 | 4920 | |
| 882c8963 MW |
4921 | ;;; |
| 4922 | ;;; exact-integer-sqrt | |
| 4923 | ;;; | |
| 4924 | ||
| 4925 | (with-test-prefix "exact-integer-sqrt" | |
| 4926 | (define (non-negative-exact-integer? k) | |
| 4927 | (and (integer? k) (exact? k) (>= k 0))) | |
| 4928 | ||
| 4929 | (define (test k) | |
| 4930 | (pass-if k (let-values (((s r) (exact-integer-sqrt k))) | |
| 4931 | (and (non-negative-exact-integer? s) | |
| 4932 | (non-negative-exact-integer? r) | |
| 4933 | (= k (+ r (* s s))) | |
| 4934 | (< k (* (1+ s) (1+ s))))))) | |
| 4935 | ||
| 4936 | (define (test-wrong-type-arg k) | |
| 4937 | (pass-if-exception k exception:wrong-type-arg | |
| 4938 | (let-values (((s r) (exact-integer-sqrt k))) | |
| 4939 | #t))) | |
| 4940 | ||
| 4941 | (pass-if (documented? exact-integer-sqrt)) | |
| 4942 | ||
| 4943 | (pass-if-exception "no args" exception:wrong-num-args | |
| 4944 | (exact-integer-sqrt)) | |
| 4945 | (pass-if-exception "two args" exception:wrong-num-args | |
| 4946 | (exact-integer-sqrt 123 456)) | |
| 4947 | ||
| 4948 | (test 0) | |
| 4949 | (test 1) | |
| 4950 | (test 9) | |
| 4951 | (test 10) | |
| 4952 | (test fixnum-max) | |
| 4953 | (test (1+ fixnum-max)) | |
| 4954 | (test (* fixnum-max fixnum-max)) | |
| 4955 | (test (+ 1 (* fixnum-max fixnum-max))) | |
| 4956 | (test (expt 10 100)) | |
| 4957 | (test (+ 3 (expt 10 100))) | |
| 4958 | ||
| 4959 | (test-wrong-type-arg -1) | |
| 4960 | (test-wrong-type-arg 1/9) | |
| 4961 | (test-wrong-type-arg fixnum-min) | |
| 4962 | (test-wrong-type-arg (1- fixnum-min)) | |
| 4963 | (test-wrong-type-arg 1.0) | |
| 4964 | (test-wrong-type-arg 1.5) | |
| 4965 | (test-wrong-type-arg "foo") | |
| 4966 | (test-wrong-type-arg 'foo)) | |
| 4967 | ||
| 4968 | ||
| 8ab3d8a0 KR |
4969 | ;;; |
| 4970 | ;;; sqrt | |
| 4971 | ;;; | |
| 4972 | ||
| 4973 | (with-test-prefix "sqrt" | |
| 2519490c | 4974 | (pass-if (documented? sqrt)) |
| 8ab3d8a0 KR |
4975 | |
| 4976 | (pass-if-exception "no args" exception:wrong-num-args | |
| 4977 | (sqrt)) | |
| 4978 | (pass-if-exception "two args" exception:wrong-num-args | |
| 4979 | (sqrt 123 456)) | |
| 4980 | ||
| 44002664 MW |
4981 | (pass-if (eqv? 0 (sqrt 0))) |
| 4982 | (pass-if (eqv? 1 (sqrt 1))) | |
| 4983 | (pass-if (eqv? 2 (sqrt 4))) | |
| 4984 | (pass-if (eqv? 3 (sqrt 9))) | |
| 4985 | (pass-if (eqv? 4 (sqrt 16))) | |
| 4986 | (pass-if (eqv? fixnum-max (sqrt (expt fixnum-max 2)))) | |
| 4987 | (pass-if (eqv? (+ 1 fixnum-max) (sqrt (expt (+ 1 fixnum-max) 2)))) | |
| 4988 | (pass-if (eqv? (expt 10 400) (sqrt (expt 10 800)))) | |
| 4989 | (pass-if (eqv? (/ (expt 10 1000) | |
| 4990 | (expt 13 1000)) | |
| 4991 | (sqrt (/ (expt 10 2000) | |
| 4992 | (expt 13 2000))))) | |
| 4993 | ||
| 4994 | (with-test-prefix "exact sqrt" | |
| 4995 | ||
| 4996 | (define (test root) | |
| 4997 | (pass-if (list root 'exact) | |
| 4998 | (eqv? root (sqrt (expt root 2)))) | |
| ddb71742 MW |
4999 | (pass-if (list root '*2) |
| 5000 | (let ((r (sqrt (* 2 (expt root 2))))) | |
| 5001 | (and (inexact? r) | |
| 5002 | (eqv-loosely? (* (sqrt 2) root) r)))) | |
| 44002664 MW |
5003 | (pass-if (list root '-1) |
| 5004 | (let ((r (sqrt (- (expt root 2) 1)))) | |
| 5005 | (and (inexact? r) | |
| 5006 | (eqv-loosely? root r)))) | |
| 5007 | (pass-if (list root '+1) | |
| 5008 | (let ((r (sqrt (+ (expt root 2) 1)))) | |
| 5009 | (and (inexact? r) | |
| 5010 | (eqv-loosely? root r)))) | |
| 5011 | (pass-if (list root 'negative) | |
| 5012 | (eqv-loosely? (* +i root) (sqrt (- (expt root 2)))))) | |
| 5013 | ||
| 5014 | (test (exact-integer-sqrt (+ -1 (expt 2 (+ 2 dbl-mant-dig))))) | |
| 5015 | (test (exact-integer-sqrt (+ -1 (expt 2 (+ 1 dbl-mant-dig))))) | |
| 5016 | (test (exact-integer-sqrt (+ -1 (expt 2 (+ 0 dbl-mant-dig))))) | |
| 5017 | (test (exact-integer-sqrt (+ -1 (expt 2 (+ -1 dbl-mant-dig))))) | |
| ddb71742 MW |
5018 | (test (exact-integer-sqrt (+ -1 (expt 2 (+ -2 dbl-mant-dig))))) |
| 5019 | ||
| 5020 | ;; largest finite inexact | |
| 5021 | (test (* (- (expt 2 dbl-mant-dig) 1) | |
| 5022 | (expt 2 (- dbl-max-exp dbl-mant-dig))))) | |
| 5023 | ||
| 5024 | (pass-if-equal "smallest inexact" | |
| 5025 | (expt 2.0 (- dbl-min-exp dbl-mant-dig)) | |
| 5026 | (sqrt (/ (+ -1 (expt 2 (* 2 (- dbl-mant-dig dbl-min-exp))))))) | |
| 5027 | ||
| 5028 | (with-test-prefix "extreme ratios" | |
| 5029 | (define-syntax-rule (test want x) | |
| 5030 | (pass-if 'x | |
| 5031 | (let ((got (sqrt x))) | |
| 5032 | (and (inexact? got) | |
| 5033 | (test-eqv? 1.0 (/ want got)))))) | |
| 5034 | (test 1.511139943175573e176 (/ (expt 3 2001) (expt 2 2001))) | |
| 5035 | (test 2.1370746022826034e176 (/ (expt 3 2001) (expt 2 2000))) | |
| 5036 | (test 8.724570529756128e175 (/ (expt 3 2000) (expt 2 2001))) | |
| 5037 | (test 6.6175207962444435e-177 (/ (expt 2 2001) (expt 3 2001))) | |
| 5038 | (test 1.1461882239239027e-176 (/ (expt 2 2001) (expt 3 2000))) | |
| 5039 | (test 4.679293829667447e-177 (/ (expt 2 2000) (expt 3 2001)))) | |
| 5040 | ||
| 5041 | (pass-if (eqv? (/ (expt 2 1000) | |
| 5042 | (expt 3 1000)) | |
| 5043 | (sqrt (/ (expt 2 2000) | |
| 5044 | (expt 3 2000))))) | |
| 5045 | ||
| 5046 | (pass-if (eqv? (/ (expt 3 1000) | |
| 5047 | (expt 2 1000)) | |
| 5048 | (sqrt (/ (expt 3 2000) | |
| 5049 | (expt 2 2000))))) | |
| 44002664 MW |
5050 | |
| 5051 | (pass-if (eqv? +4i (sqrt -16))) | |
| 5052 | (pass-if (eqv-loosely? +1.0e150i (sqrt #e-1e300))) | |
| 5053 | (pass-if (eqv-loosely? +0.7071i (sqrt -1/2))) | |
| 5054 | ||
| 8ab3d8a0 KR |
5055 | (pass-if (eqv? 0.0 (sqrt 0.0))) |
| 5056 | (pass-if (eqv? 1.0 (sqrt 1.0))) | |
| 5057 | (pass-if (eqv-loosely? 2.0 (sqrt 4.0))) | |
| 5058 | (pass-if (eqv-loosely? 31.62 (sqrt 1000.0))) | |
| 5059 | ||
| 5060 | (pass-if (eqv? +1.0i (sqrt -1.0))) | |
| 5061 | (pass-if (eqv-loosely? +2.0i (sqrt -4.0))) | |
| 5062 | (pass-if (eqv-loosely? +31.62i (sqrt -1000.0))) | |
| 5063 | ||
| 5064 | (pass-if "+i swings back to 45deg angle" | |
| 5065 | (eqv-loosely? +0.7071+0.7071i (sqrt +1.0i))) | |
| 5066 | ||
| 5067 | ;; Note: glibc 2.3 csqrt() had a bug affecting this test case, so if it | |
| 5068 | ;; fails check whether that's the cause (there's a configure test to | |
| 5069 | ;; reject it, but when cross-compiling we assume the C library is ok). | |
| 5070 | (pass-if "-100i swings back to 45deg down" | |
| 5071 | (eqv-loosely? +7.071-7.071i (sqrt -100.0i)))) | |
| 5072 | ||
| 4a46bc2a | 5073 | |
| c05696aa MW |
5074 | ;;; |
| 5075 | ;;; Tests for number-theoretic division operators: | |
| ff62c168 MW |
5076 | ;;; |
| 5077 | ;;; euclidean/ | |
| 5078 | ;;; euclidean-quotient | |
| 5079 | ;;; euclidean-remainder | |
| c05696aa MW |
5080 | ;;; floor/ |
| 5081 | ;;; floor-quotient | |
| 5082 | ;;; floor-remainder | |
| 5083 | ;;; ceiling/ | |
| 5084 | ;;; ceiling-quotient | |
| 5085 | ;;; ceiling-remainder | |
| 5086 | ;;; truncate/ | |
| 5087 | ;;; truncate-quotient | |
| 5088 | ;;; truncate-remainder | |
| ff62c168 MW |
5089 | ;;; centered/ |
| 5090 | ;;; centered-quotient | |
| 5091 | ;;; centered-remainder | |
| c05696aa MW |
5092 | ;;; round/ |
| 5093 | ;;; round-quotient | |
| 5094 | ;;; round-remainder | |
| ff62c168 MW |
5095 | ;;; |
| 5096 | ||
| 5097 | (with-test-prefix "Number-theoretic division" | |
| 5098 | ||
| 4a46bc2a | 5099 | ;; Tests that (lo <1 x <2 hi), |
| ff62c168 MW |
5100 | ;; but allowing for imprecision |
| 5101 | ;; if x is inexact. | |
| 4a46bc2a | 5102 | (define (test-within-range? lo <1 x <2 hi) |
| ff62c168 | 5103 | (if (exact? x) |
| 4a46bc2a | 5104 | (and (<1 lo x) (<2 x hi)) |
| ff62c168 MW |
5105 | (let ((lo (- lo test-epsilon)) |
| 5106 | (hi (+ hi test-epsilon))) | |
| 5107 | (<= lo x hi)))) | |
| 5108 | ||
| a8591a55 | 5109 | (define (valid-euclidean-answer? x y q r) |
| 4a46bc2a MW |
5110 | (and (eq? (exact? q) |
| 5111 | (exact? r) | |
| 5112 | (and (exact? x) (exact? y))) | |
| 5113 | (test-eqv? r (- x (* q y))) | |
| 5114 | (if (and (finite? x) (finite? y)) | |
| 5115 | (and (integer? q) | |
| 5116 | (test-within-range? 0 <= r < (abs y))) | |
| 5117 | (test-eqv? q (/ x y))))) | |
| a8591a55 | 5118 | |
| 8f9da340 MW |
5119 | (define (valid-floor-answer? x y q r) |
| 5120 | (and (eq? (exact? q) | |
| 5121 | (exact? r) | |
| 5122 | (and (exact? x) (exact? y))) | |
| 5123 | (test-eqv? r (- x (* q y))) | |
| 5124 | (if (and (finite? x) (finite? y)) | |
| 5125 | (and (integer? q) | |
| 5126 | (if (> y 0) | |
| 5127 | (test-within-range? 0 <= r < y) | |
| 5128 | (test-within-range? y < r <= 0))) | |
| 5129 | (test-eqv? q (/ x y))))) | |
| 5130 | ||
| 5131 | (define (valid-ceiling-answer? x y q r) | |
| 5132 | (and (eq? (exact? q) | |
| 5133 | (exact? r) | |
| 5134 | (and (exact? x) (exact? y))) | |
| 5135 | (test-eqv? r (- x (* q y))) | |
| 5136 | (if (and (finite? x) (finite? y)) | |
| 5137 | (and (integer? q) | |
| 5138 | (if (> y 0) | |
| 5139 | (test-within-range? (- y) < r <= 0) | |
| 5140 | (test-within-range? 0 <= r < (- y)))) | |
| 5141 | (test-eqv? q (/ x y))))) | |
| 5142 | ||
| 5143 | (define (valid-truncate-answer? x y q r) | |
| 5144 | (and (eq? (exact? q) | |
| 5145 | (exact? r) | |
| 5146 | (and (exact? x) (exact? y))) | |
| 5147 | (test-eqv? r (- x (* q y))) | |
| 5148 | (if (and (finite? x) (finite? y)) | |
| 5149 | (and (integer? q) | |
| 5150 | (if (> x 0) | |
| 5151 | (test-within-range? 0 <= r < (abs y)) | |
| 5152 | (test-within-range? (- (abs y)) < r <= 0))) | |
| 5153 | (test-eqv? q (/ x y))))) | |
| 5154 | ||
| a8591a55 | 5155 | (define (valid-centered-answer? x y q r) |
| 4a46bc2a MW |
5156 | (and (eq? (exact? q) |
| 5157 | (exact? r) | |
| 5158 | (and (exact? x) (exact? y))) | |
| 5159 | (test-eqv? r (- x (* q y))) | |
| 5160 | (if (and (finite? x) (finite? y)) | |
| 5161 | (and (integer? q) | |
| 5162 | (test-within-range? | |
| 5163 | (* -1/2 (abs y)) <= r < (* +1/2 (abs y)))) | |
| 5164 | (test-eqv? q (/ x y))))) | |
| 5165 | ||
| 8f9da340 MW |
5166 | (define (valid-round-answer? x y q r) |
| 5167 | (and (eq? (exact? q) | |
| 5168 | (exact? r) | |
| 5169 | (and (exact? x) (exact? y))) | |
| 5170 | (test-eqv? r (- x (* q y))) | |
| 5171 | (if (and (finite? x) (finite? y)) | |
| 5172 | (and (integer? q) | |
| 5173 | (let ((ay/2 (/ (abs y) 2))) | |
| 5174 | (if (even? q) | |
| 5175 | (test-within-range? (- ay/2) <= r <= ay/2) | |
| 5176 | (test-within-range? (- ay/2) < r < ay/2)))) | |
| 5177 | (test-eqv? q (/ x y))))) | |
| 5178 | ||
| 4a46bc2a MW |
5179 | (define (for lsts f) (apply for-each f lsts)) |
| 5180 | ||
| 5181 | (define big (expt 10 (1+ (inexact->exact (ceiling (log10 fixnum-max)))))) | |
| 5182 | ||
| 5183 | (define (run-division-tests quo+rem quo rem valid-answer?) | |
| 5184 | (define (test n d) | |
| 5185 | (run-test (list n d) #t | |
| 5186 | (lambda () | |
| 5187 | (let-values (((q r) (quo+rem n d))) | |
| 5188 | (and (test-eqv? q (quo n d)) | |
| 5189 | (test-eqv? r (rem n d)) | |
| 5190 | (valid-answer? n d q r)))))) | |
| 5191 | (define (test+/- n d) | |
| 5192 | (test n d ) | |
| 5193 | (test n (- d)) | |
| 5194 | (cond ((not (zero? n)) | |
| 5195 | (test (- n) d ) | |
| 5196 | (test (- n) (- d))))) | |
| 5197 | ||
| 5198 | (define (test-for-exception n d exception) | |
| 5199 | (let ((name (list n d))) | |
| 5200 | (pass-if-exception name exception (quo+rem n d)) | |
| 5201 | (pass-if-exception name exception (quo n d)) | |
| 5202 | (pass-if-exception name exception (rem n d)))) | |
| 5203 | ||
| 5204 | (run-test "documented?" #t | |
| 5205 | (lambda () | |
| 5206 | (and (documented? quo+rem) | |
| 5207 | (documented? quo) | |
| 5208 | (documented? rem)))) | |
| 5209 | ||
| 5210 | (with-test-prefix "inum / inum" | |
| 5211 | (with-test-prefix "fixnum-min / -1" | |
| 5212 | (test fixnum-min -1)) | |
| 5213 | (for '((1 2 5 10)) ;; denominators | |
| 5214 | (lambda (d) | |
| 5215 | (for '((0 1 2 5 10)) ;; multiples | |
| 5216 | (lambda (m) | |
| 5217 | (for '((-2 -1 0 1 2 3 4 5 7 10 | |
| 5218 | 12 15 16 19 20)) ;; offsets | |
| 5219 | (lambda (b) | |
| 5220 | (test+/- (+ b (* m d)) | |
| 5221 | d)))))))) | |
| 5222 | ||
| 5223 | (with-test-prefix "inum / big" | |
| 5224 | (with-test-prefix "fixnum-min / -fixnum-min" | |
| 5225 | (test fixnum-min (- fixnum-min))) | |
| 5226 | (with-test-prefix "fixnum-max / (2*fixnum-max)" | |
| 5227 | (test+/- fixnum-max (* 2 fixnum-max))) | |
| 5228 | (for `((0 1 2 10 ,(1- fixnum-max) ,fixnum-max)) | |
| 5229 | (lambda (n) | |
| 5230 | (test n (1+ fixnum-max)) | |
| 5231 | (test (- n) (1+ fixnum-max)) | |
| 5232 | (test n (1- fixnum-min)) | |
| 5233 | (test (- n) (1- fixnum-min))))) | |
| 5234 | ||
| 5235 | (with-test-prefix "big / inum" | |
| 5236 | (with-test-prefix "-fixnum-min / fixnum-min" | |
| 5237 | (test (- fixnum-min) fixnum-min)) | |
| 5238 | (for '((1 4 5 10)) ;; denominators | |
| 5239 | (lambda (d) | |
| 5240 | (for `((1 2 5 ,@(if (even? d) | |
| 5241 | '(1/2 3/2 5/2) | |
| 5242 | '()))) ;; multiples | |
| 5243 | (lambda (m) | |
| 5244 | (for '((-2 -1 0 1 2)) ;; offsets | |
| 5245 | (lambda (b) | |
| 5246 | (test+/- (+ b (* m d big)) | |
| 5247 | d)))))))) | |
| 5248 | ||
| 5249 | (with-test-prefix "big / big" | |
| 5250 | (for `((,big ,(1+ big))) ;; denominators | |
| 5251 | (lambda (d) | |
| 5252 | (for `((1 2 5 ,@(if (even? d) | |
| 5253 | '(1/2 3/2 5/2) | |
| 5254 | '()))) ;; multiples | |
| 5255 | (lambda (m) | |
| 5256 | (for '((-2 -1 0 1 2)) ;; offsets | |
| 5257 | (lambda (b) | |
| 5258 | (test+/- (+ b (* m d)) | |
| 5259 | d)))))))) | |
| 5260 | ||
| 5261 | (with-test-prefix "inexact" | |
| 5262 | (for '((0.5 1.5 2.25 5.75)) ;; denominators | |
| 5263 | (lambda (d) | |
| 5264 | (for '((0 1 2 5 1/2 3/2 5/2)) ;; multiples | |
| 5265 | (lambda (m) | |
| 5266 | (for '((-2 -1 0 1 2)) ;; offsets | |
| 5267 | (lambda (b) | |
| 5268 | (test+/- (+ b (* m d)) | |
| 5269 | d)))))))) | |
| 5270 | ||
| 5271 | (with-test-prefix "fractions" | |
| 5272 | (for '((1/10 16/3 10/7)) ;; denominators | |
| 5273 | (lambda (d) | |
| 5274 | (for '((0 1 2 5 1/2 3/2 5/2)) ;; multiples | |
| 5275 | (lambda (m) | |
| 5276 | (for '((-2/9 -1/11 0 1/3 2/3)) ;; offsets | |
| 5277 | (lambda (b) | |
| 5278 | (test+/- (+ b (* m d)) | |
| 5279 | d)))))))) | |
| 5280 | ||
| 5281 | (with-test-prefix "mixed types" | |
| 5282 | (for `((10 ,big 12.0 10/7 +inf.0 -inf.0 +nan.0)) ;; denominators | |
| 5283 | (lambda (d) | |
| 5284 | (for `((25 ,(* 3/2 big) 130.0 15/7 | |
| 5285 | 0 0.0 -0.0 +inf.0 -inf.0 +nan.0)) ;; numerators | |
| 5286 | (lambda (n) | |
| 5287 | (test+/- n d)))))) | |
| 5288 | ||
| 5289 | (with-test-prefix "divide by zero" | |
| fb210d8d | 5290 | (for `((0 0.0 -0.0)) ;; denominators |
| 4a46bc2a MW |
5291 | (lambda (d) |
| 5292 | (for `((15 ,(* 3/2 big) 18.0 33/7 | |
| 5293 | 0 0.0 -0.0 +inf.0 -inf.0 +nan.0)) ;; numerators | |
| 5294 | (lambda (n) | |
| 5295 | (test-for-exception | |
| 5296 | n d exception:numerical-overflow))))))) | |
| ff62c168 | 5297 | |
| ff62c168 | 5298 | (with-test-prefix "euclidean/" |
| 4a46bc2a MW |
5299 | (run-division-tests euclidean/ |
| 5300 | euclidean-quotient | |
| 5301 | euclidean-remainder | |
| 5302 | valid-euclidean-answer?)) | |
| a8591a55 | 5303 | |
| 8f9da340 MW |
5304 | (with-test-prefix "floor/" |
| 5305 | (run-division-tests floor/ | |
| 5306 | floor-quotient | |
| 5307 | floor-remainder | |
| 5308 | valid-floor-answer?)) | |
| 5309 | ||
| 5310 | (with-test-prefix "ceiling/" | |
| 5311 | (run-division-tests ceiling/ | |
| 5312 | ceiling-quotient | |
| 5313 | ceiling-remainder | |
| 5314 | valid-ceiling-answer?)) | |
| 5315 | ||
| 5316 | (with-test-prefix "truncate/" | |
| 5317 | (run-division-tests truncate/ | |
| 5318 | truncate-quotient | |
| 5319 | truncate-remainder | |
| 5320 | valid-truncate-answer?)) | |
| 5321 | ||
| ff62c168 | 5322 | (with-test-prefix "centered/" |
| 4a46bc2a MW |
5323 | (run-division-tests centered/ |
| 5324 | centered-quotient | |
| 5325 | centered-remainder | |
| 8f9da340 MW |
5326 | valid-centered-answer?)) |
| 5327 | ||
| 5328 | (with-test-prefix "round/" | |
| 5329 | (run-division-tests round/ | |
| 5330 | round-quotient | |
| 5331 | round-remainder | |
| 5332 | valid-round-answer?))) | |
| e08a12b5 MW |
5333 | |
| 5334 | ;;; | |
| 5335 | ;;; ash | |
| 5336 | ;;; round-ash | |
| 5337 | ;;; | |
| 5338 | ||
| 5339 | (let () | |
| 5340 | (define (test-ash-variant name ash-variant round-variant) | |
| 5341 | (with-test-prefix name | |
| 5342 | (define (test n count) | |
| 5343 | (pass-if (list n count) | |
| 5344 | (eqv? (ash-variant n count) | |
| 5345 | (round-variant (* n (expt 2 count)))))) | |
| 5346 | ||
| 5347 | (pass-if "documented?" | |
| 5348 | (documented? ash-variant)) | |
| 5349 | ||
| 5350 | (for-each (lambda (n) | |
| 5351 | (for-each (lambda (count) (test n count)) | |
| 5352 | '(-1000 -3 -2 -1 0 1 2 3 1000))) | |
| 5353 | (list 0 1 3 23 -1 -3 -23 | |
| 5354 | fixnum-max | |
| 5355 | (1+ fixnum-max) | |
| 5356 | (1- fixnum-max) | |
| 5357 | (* fixnum-max 4) | |
| 5358 | (quotient fixnum-max 4) | |
| 5359 | fixnum-min | |
| 5360 | (1+ fixnum-min) | |
| 5361 | (1- fixnum-min) | |
| 5362 | (* fixnum-min 4) | |
| 5363 | (quotient fixnum-min 4))) | |
| 5364 | ||
| 5365 | (do ((count -2 (1- count)) | |
| 5366 | (vals '(1 3 5 7 9 11) | |
| 5367 | (map (lambda (n) (* 2 n)) vals))) | |
| 5368 | ((> (car vals) (* 2 fixnum-max)) 'done) | |
| 5369 | (for-each (lambda (n) | |
| 5370 | (test n count) | |
| 5371 | (test (- n) count)) | |
| 5372 | vals)) | |
| 5373 | ||
| 5374 | ;; Test rounding | |
| 5375 | (for-each (lambda (base) | |
| 5376 | (for-each (lambda (offset) (test (+ base offset) -3)) | |
| 5377 | '(#b11001 #b11100 #b11101 #b10001 #b10100 #b10101))) | |
| 5378 | (list 0 64 -64 (* 64 fixnum-max) (* 64 fixnum-min))))) | |
| 5379 | ||
| 5380 | (test-ash-variant 'ash ash floor) | |
| 5381 | (test-ash-variant 'round-ash round-ash round)) |