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