1 /* $NetBSD: t_ldexp.c,v 1.10 2011/09/19 05:40:38 jruoho Exp $ */ 2 3 /*- 4 * Copyright (c) 2011 The NetBSD Foundation, Inc. 5 * All rights reserved. 6 * 7 * This code is derived from software contributed to The NetBSD Foundation 8 * by Jukka Ruohonen. 9 * 10 * Redistribution and use in source and binary forms, with or without 11 * modification, are permitted provided that the following conditions 12 * are met: 13 * 1. Redistributions of source code must retain the above copyright 14 * notice, this list of conditions and the following disclaimer. 15 * 2. Redistributions in binary form must reproduce the above copyright 16 * notice, this list of conditions and the following disclaimer in the 17 * documentation and/or other materials provided with the distribution. 18 * 19 * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS 20 * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED 21 * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 22 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS 23 * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR 24 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF 25 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS 26 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN 27 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 28 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE 29 * POSSIBILITY OF SUCH DAMAGE. 30 */ 31 #include <sys/cdefs.h> 32 __RCSID("$NetBSD: t_ldexp.c,v 1.10 2011/09/19 05:40:38 jruoho Exp $"); 33 34 #include <atf-c.h> 35 #include <atf-c/config.h> 36 37 #include <math.h> 38 #include <limits.h> 39 #include <stdio.h> 40 #include <string.h> 41 42 #define SKIP 9999 43 #define FORMAT "%23.23lg" 44 45 static const int exps[] = { 0, 1, -1, 100, -100 }; 46 47 struct ldexp_test { 48 double x; 49 int exp1; 50 int exp2; 51 const char *result; 52 }; 53 54 struct ldexp_test ldexp_basic[] = { 55 { 1.0, 5, SKIP, " 32" }, 56 { 1.0, 1022, SKIP, "4.4942328371557897693233e+307" }, 57 { 1.0, 1023, -1, "4.4942328371557897693233e+307" }, 58 { 1.0, 1023, SKIP, "8.9884656743115795386465e+307" }, 59 { 1.0, 1022, 1, "8.9884656743115795386465e+307" }, 60 { 1.0, -1022, 2045, "8.9884656743115795386465e+307" }, 61 { 1.0, -5, SKIP, " 0.03125" }, 62 { 1.0, -1021, SKIP, "4.4501477170144027661805e-308" }, 63 { 1.0, -1022, 1, "4.4501477170144027661805e-308" }, 64 { 1.0, -1022, SKIP, "2.2250738585072013830902e-308" }, 65 { 1.0, -1021, -1, "2.2250738585072013830902e-308" }, 66 { 1.0, 1023, -2045, "2.2250738585072013830902e-308" }, 67 { 1.0, 1023, -1023, " 1" }, 68 { 1.0, -1022, 1022, " 1" }, 69 { 0, 0, 0, NULL } 70 }; 71 72 struct ldexp_test ldexp_zero[] = { 73 { 0.0, -1, SKIP, " 0" }, 74 { 0.0, 0, SKIP, " 0" }, 75 { 0.0, 1, SKIP, " 0" }, 76 { 0.0, 1024, SKIP, " 0" }, 77 { 0.0, 1025, SKIP, " 0" }, 78 { 0.0, -1023, SKIP, " 0" }, 79 { 0.0, -1024, SKIP, " 0" }, 80 { 0, 0, 0, NULL } 81 }; 82 83 struct ldexp_test ldexp_infinity[] = { 84 { 1.0, 1024, -1, " inf" }, 85 { 1.0, 1024, 0, " inf" }, 86 { 1.0, 1024, 1, " inf" }, 87 { -1.0, 1024, -1, " -inf" }, 88 { -1.0, 1024, 0, " -inf" }, 89 { -1.0, 1024, 1, " -inf" }, 90 { 0, 0, 0, NULL } 91 }; 92 93 struct ldexp_test ldexp_overflow[] = { 94 { 1.0, 1024, SKIP, " inf" }, 95 { 1.0, 1023, 1, " inf" }, 96 { 1.0, -1022, 2046, " inf" }, 97 { 1.0, 1025, SKIP, " inf" }, 98 { -1.0, 1024, SKIP, " -inf" }, 99 { -1.0, 1023, 1, " -inf" }, 100 { -1.0, -1022, 2046, " -inf" }, 101 { -1.0, 1025, SKIP, " -inf" }, 102 { 0, 0, 0, NULL } 103 }; 104 105 struct ldexp_test ldexp_denormal[] = { 106 { 1.0, -1023, SKIP, "1.1125369292536006915451e-308" }, 107 { 1.0, -1022, -1, "1.1125369292536006915451e-308" }, 108 { 1.0, 1023, -2046, "1.1125369292536006915451e-308" }, 109 { 1.0, -1024, SKIP, "5.5626846462680034577256e-309" }, 110 { 1.0, -1074, SKIP, "4.9406564584124654417657e-324" }, 111 { -1.0, -1023, SKIP, "-1.1125369292536006915451e-308" }, 112 { -1.0, -1022, -1, "-1.1125369292536006915451e-308" }, 113 { -1.0, 1023, -2046, "-1.1125369292536006915451e-308" }, 114 { -1.0, -1024, SKIP, "-5.5626846462680034577256e-309" }, 115 { -1.0, -1074, SKIP, "-4.9406564584124654417657e-324" }, 116 { 0, 0, 0, NULL } 117 }; 118 119 struct ldexp_test ldexp_underflow[] = { 120 { 1.0, -1075, SKIP, " 0" }, 121 { 1.0, -1074, -1, " 0" }, 122 { 1.0, 1023, -2098, " 0" }, 123 { 1.0, -1076, SKIP, " 0" }, 124 { -1.0, -1075, SKIP, " -0" }, 125 { -1.0, -1074, -1, " -0" }, 126 { -1.0, 1023, -2098, " -0" }, 127 { -1.0, -1076, SKIP, " -0" }, 128 { 0, 0, 0, NULL } 129 }; 130 131 struct ldexp_test ldexp_denormal_large[] = { 132 { 1.0, -1028, 1024, " 0.0625" }, 133 { 1.0, -1028, 1025, " 0.125" }, 134 { 1.0, -1028, 1026, " 0.25" }, 135 { 1.0, -1028, 1027, " 0.5" }, 136 { 1.0, -1028, 1028, " 1" }, 137 { 1.0, -1028, 1029, " 2" }, 138 { 1.0, -1028, 1030, " 4" }, 139 { 1.0, -1028, 1040, " 4096" }, 140 { 1.0, -1028, 1050, " 4194304" }, 141 { 1.0, -1028, 1060, " 4294967296" }, 142 { 1.0, -1028, 1100, " 4722366482869645213696" }, 143 { 1.0, -1028, 1200, "5.9863107065073783529623e+51" }, 144 { 1.0, -1028, 1300, "7.5885503602567541832791e+81" }, 145 { 1.0, -1028, 1400, "9.6196304190416209014353e+111" }, 146 { 1.0, -1028, 1500, "1.2194330274671844653834e+142" }, 147 { 1.0, -1028, 1600, "1.5458150092069033378781e+172" }, 148 { 1.0, -1028, 1700, "1.9595533242629369747791e+202" }, 149 { 1.0, -1028, 1800, "2.4840289476811342962384e+232" }, 150 { 1.0, -1028, 1900, "3.1488807865122869393369e+262" }, 151 { 1.0, -1028, 2000, "3.9916806190694396233127e+292" }, 152 { 1.0, -1028, 2046, "2.808895523222368605827e+306" }, 153 { 1.0, -1028, 2047, "5.6177910464447372116541e+306" }, 154 { 1.0, -1028, 2048, "1.1235582092889474423308e+307" }, 155 { 1.0, -1028, 2049, "2.2471164185778948846616e+307" }, 156 { 1.0, -1028, 2050, "4.4942328371557897693233e+307" }, 157 { 1.0, -1028, 2051, "8.9884656743115795386465e+307" }, 158 { 0, 0, 0, NULL } 159 }; 160 161 static void 162 run_test(struct ldexp_test *table) 163 { 164 char outbuf[64]; 165 size_t i; 166 double v; 167 168 for (i = 0; table->result != NULL; table++, i++) { 169 170 v = ldexp(table->x, table->exp1); 171 172 if (table->exp2 == SKIP) 173 continue; 174 175 v = ldexp(v, table->exp2); 176 177 (void)snprintf(outbuf, sizeof(outbuf), FORMAT, v); 178 179 ATF_CHECK_STREQ_MSG(table->result, outbuf, 180 "Entry %zu:\n\tExp: \"%s\"\n\tAct: \"%s\"", 181 i, table->result, outbuf); 182 } 183 } 184 185 /* 186 * ldexp(3) 187 */ 188 ATF_TC(ldexp_exp2); 189 ATF_TC_HEAD(ldexp_exp2, tc) 190 { 191 atf_tc_set_md_var(tc, "descr", "Test ldexp(x, n) == x * exp2(n)"); 192 } 193 194 ATF_TC_BODY(ldexp_exp2, tc) 195 { 196 #ifndef __vax__ 197 const double n[] = { 1, 2, 3, 10, 50, 100 }; 198 const double eps = 1.0e-40; 199 const double x = 12.0; 200 double y; 201 size_t i; 202 203 for (i = 0; i < __arraycount(n); i++) { 204 205 y = ldexp(x, n[i]); 206 207 if (fabs(y - (x * exp2(n[i]))) > eps) { 208 atf_tc_fail_nonfatal("ldexp(%0.01f, %0.01f) " 209 "!= %0.01f * exp2(%0.01f)", x, n[i], x, n[i]); 210 } 211 } 212 #endif 213 } 214 215 ATF_TC(ldexp_nan); 216 ATF_TC_HEAD(ldexp_nan, tc) 217 { 218 atf_tc_set_md_var(tc, "descr", "Test ldexp(NaN) == NaN"); 219 } 220 221 ATF_TC_BODY(ldexp_nan, tc) 222 { 223 #ifndef __vax__ 224 const double x = 0.0L / 0.0L; 225 double y; 226 size_t i; 227 228 ATF_REQUIRE(isnan(x) != 0); 229 230 for (i = 0; i < __arraycount(exps); i++) { 231 y = ldexp(x, exps[i]); 232 ATF_CHECK(isnan(y) != 0); 233 } 234 #endif 235 } 236 237 ATF_TC(ldexp_inf_neg); 238 ATF_TC_HEAD(ldexp_inf_neg, tc) 239 { 240 atf_tc_set_md_var(tc, "descr", "Test ldexp(-Inf) == -Inf"); 241 } 242 243 ATF_TC_BODY(ldexp_inf_neg, tc) 244 { 245 #ifndef __vax__ 246 const double x = -1.0L / 0.0L; 247 size_t i; 248 249 for (i = 0; i < __arraycount(exps); i++) 250 ATF_CHECK(ldexp(x, exps[i]) == x); 251 #endif 252 } 253 254 ATF_TC(ldexp_inf_pos); 255 ATF_TC_HEAD(ldexp_inf_pos, tc) 256 { 257 atf_tc_set_md_var(tc, "descr", "Test ldexp(+Inf) == +Inf"); 258 } 259 260 ATF_TC_BODY(ldexp_inf_pos, tc) 261 { 262 #ifndef __vax__ 263 const double x = 1.0L / 0.0L; 264 size_t i; 265 266 for (i = 0; i < __arraycount(exps); i++) 267 ATF_CHECK(ldexp(x, exps[i]) == x); 268 #endif 269 } 270 271 ATF_TC(ldexp_zero_neg); 272 ATF_TC_HEAD(ldexp_zero_neg, tc) 273 { 274 atf_tc_set_md_var(tc, "descr", "Test ldexp(-0.0) == -0.0"); 275 } 276 277 ATF_TC_BODY(ldexp_zero_neg, tc) 278 { 279 #ifndef __vax__ 280 const double x = -0.0L; 281 double y; 282 size_t i; 283 284 ATF_REQUIRE(signbit(x) != 0); 285 286 for (i = 0; i < __arraycount(exps); i++) { 287 y = ldexp(x, exps[i]); 288 ATF_CHECK(x == y); 289 ATF_CHECK(signbit(y) != 0); 290 } 291 #endif 292 } 293 294 ATF_TC(ldexp_zero_pos); 295 ATF_TC_HEAD(ldexp_zero_pos, tc) 296 { 297 atf_tc_set_md_var(tc, "descr", "Test ldexp(+0.0) == +0.0"); 298 } 299 300 ATF_TC_BODY(ldexp_zero_pos, tc) 301 { 302 #ifndef __vax__ 303 const double x = 0.0L; 304 double y; 305 size_t i; 306 307 ATF_REQUIRE(signbit(x) == 0); 308 309 for (i = 0; i < __arraycount(exps); i++) { 310 y = ldexp(x, exps[i]); 311 ATF_CHECK(x == y); 312 ATF_CHECK(signbit(y) == 0); 313 } 314 #endif 315 } 316 317 /* 318 * ldexpf(3) 319 */ 320 321 ATF_TC(ldexpf_exp2f); 322 ATF_TC_HEAD(ldexpf_exp2f, tc) 323 { 324 atf_tc_set_md_var(tc, "descr", "Test ldexpf(x, n) == x * exp2f(n)"); 325 } 326 327 ATF_TC_BODY(ldexpf_exp2f, tc) 328 { 329 #ifndef __vax__ 330 const float n[] = { 1, 2, 3, 10, 50, 100 }; 331 const float eps = 1.0e-9; 332 const float x = 12.0; 333 float y; 334 size_t i; 335 336 for (i = 0; i < __arraycount(n); i++) { 337 338 y = ldexpf(x, n[i]); 339 340 if (fabsf(y - (x * exp2f(n[i]))) > eps) { 341 atf_tc_fail_nonfatal("ldexpf(%0.01f, %0.01f) " 342 "!= %0.01f * exp2f(%0.01f)", x, n[i], x, n[i]); 343 } 344 } 345 #endif 346 } 347 348 ATF_TC(ldexpf_nan); 349 ATF_TC_HEAD(ldexpf_nan, tc) 350 { 351 atf_tc_set_md_var(tc, "descr", "Test ldexpf(NaN) == NaN"); 352 } 353 354 ATF_TC_BODY(ldexpf_nan, tc) 355 { 356 #ifndef __vax__ 357 const float x = 0.0L / 0.0L; 358 float y; 359 size_t i; 360 361 ATF_REQUIRE(isnan(x) != 0); 362 363 for (i = 0; i < __arraycount(exps); i++) { 364 y = ldexpf(x, exps[i]); 365 ATF_CHECK(isnan(y) != 0); 366 } 367 #endif 368 } 369 370 ATF_TC(ldexpf_inf_neg); 371 ATF_TC_HEAD(ldexpf_inf_neg, tc) 372 { 373 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-Inf) == -Inf"); 374 } 375 376 ATF_TC_BODY(ldexpf_inf_neg, tc) 377 { 378 #ifndef __vax__ 379 const float x = -1.0L / 0.0L; 380 size_t i; 381 382 for (i = 0; i < __arraycount(exps); i++) 383 ATF_CHECK(ldexpf(x, exps[i]) == x); 384 #endif 385 } 386 387 ATF_TC(ldexpf_inf_pos); 388 ATF_TC_HEAD(ldexpf_inf_pos, tc) 389 { 390 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+Inf) == +Inf"); 391 } 392 393 ATF_TC_BODY(ldexpf_inf_pos, tc) 394 { 395 #ifndef __vax__ 396 const float x = 1.0L / 0.0L; 397 size_t i; 398 399 for (i = 0; i < __arraycount(exps); i++) 400 ATF_CHECK(ldexpf(x, exps[i]) == x); 401 #endif 402 } 403 404 ATF_TC(ldexpf_zero_neg); 405 ATF_TC_HEAD(ldexpf_zero_neg, tc) 406 { 407 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-0.0) == -0.0"); 408 } 409 410 ATF_TC_BODY(ldexpf_zero_neg, tc) 411 { 412 #ifndef __vax__ 413 const float x = -0.0L; 414 float y; 415 size_t i; 416 417 ATF_REQUIRE(signbit(x) != 0); 418 419 for (i = 0; i < __arraycount(exps); i++) { 420 y = ldexpf(x, exps[i]); 421 ATF_CHECK(x == y); 422 ATF_CHECK(signbit(y) != 0); 423 } 424 #endif 425 } 426 427 ATF_TC(ldexpf_zero_pos); 428 ATF_TC_HEAD(ldexpf_zero_pos, tc) 429 { 430 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+0.0) == +0.0"); 431 } 432 433 ATF_TC_BODY(ldexpf_zero_pos, tc) 434 { 435 #ifndef __vax__ 436 const float x = 0.0L; 437 float y; 438 size_t i; 439 440 ATF_REQUIRE(signbit(x) == 0); 441 442 for (i = 0; i < __arraycount(exps); i++) { 443 y = ldexpf(x, exps[i]); 444 ATF_CHECK(x == y); 445 ATF_CHECK(signbit(y) == 0); 446 } 447 #endif 448 } 449 450 #define TEST(name, desc) \ 451 ATF_TC(name); \ 452 ATF_TC_HEAD(name, tc) \ 453 { \ 454 \ 455 atf_tc_set_md_var(tc, "descr", \ 456 "Test ldexp(3) for " ___STRING(desc)); \ 457 } \ 458 ATF_TC_BODY(name, tc) \ 459 { \ 460 const char *machine; \ 461 \ 462 machine = atf_config_get("atf_machine"); \ 463 if (strcmp("vax", machine) == 0) \ 464 atf_tc_skip("Test not valid for %s", machine); \ 465 run_test(name); \ 466 } 467 468 TEST(ldexp_basic, basics) 469 TEST(ldexp_zero, zero) 470 TEST(ldexp_infinity, infinity) 471 TEST(ldexp_overflow, overflow) 472 TEST(ldexp_denormal, denormal) 473 TEST(ldexp_denormal_large, large) 474 TEST(ldexp_underflow, underflow) 475 476 ATF_TP_ADD_TCS(tp) 477 { 478 479 ATF_TP_ADD_TC(tp, ldexp_basic); 480 ATF_TP_ADD_TC(tp, ldexp_zero); 481 ATF_TP_ADD_TC(tp, ldexp_infinity); 482 ATF_TP_ADD_TC(tp, ldexp_overflow); 483 ATF_TP_ADD_TC(tp, ldexp_denormal); 484 ATF_TP_ADD_TC(tp, ldexp_underflow); 485 ATF_TP_ADD_TC(tp, ldexp_denormal_large); 486 487 ATF_TP_ADD_TC(tp, ldexp_exp2); 488 ATF_TP_ADD_TC(tp, ldexp_nan); 489 ATF_TP_ADD_TC(tp, ldexp_inf_neg); 490 ATF_TP_ADD_TC(tp, ldexp_inf_pos); 491 ATF_TP_ADD_TC(tp, ldexp_zero_neg); 492 ATF_TP_ADD_TC(tp, ldexp_zero_pos); 493 494 ATF_TP_ADD_TC(tp, ldexpf_exp2f); 495 ATF_TP_ADD_TC(tp, ldexpf_nan); 496 ATF_TP_ADD_TC(tp, ldexpf_inf_neg); 497 ATF_TP_ADD_TC(tp, ldexpf_inf_pos); 498 ATF_TP_ADD_TC(tp, ldexpf_zero_neg); 499 ATF_TP_ADD_TC(tp, ldexpf_zero_pos); 500 501 return atf_no_error(); 502 } 503