1 /* $NetBSD: t_ldexp.c,v 1.13 2014/03/12 21:40:07 martin 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 1.13 2014/03/12 21:40:07 martin Exp $"); 33 34 #include <sys/param.h> 35 36 #include <atf-c.h> 37 #include <atf-c/config.h> 38 39 #include <math.h> 40 #include <limits.h> 41 #include <stdio.h> 42 #include <string.h> 43 44 #define SKIP 9999 45 #define FORMAT "%23.23lg" 46 47 static const int exps[] = { 0, 1, -1, 100, -100 }; 48 49 struct ldexp_test { 50 double x; 51 int exp1; 52 int exp2; 53 const char *result; 54 }; 55 56 struct ldexp_test ldexp_basic[] = { 57 { 1.0, 5, SKIP, " 32" }, 58 { 1.0, 1022, SKIP, "4.4942328371557897693233e+307" }, 59 { 1.0, 1023, -1, "4.4942328371557897693233e+307" }, 60 { 1.0, 1023, SKIP, "8.9884656743115795386465e+307" }, 61 { 1.0, 1022, 1, "8.9884656743115795386465e+307" }, 62 { 1.0, -1022, 2045, "8.9884656743115795386465e+307" }, 63 { 1.0, -5, SKIP, " 0.03125" }, 64 { 1.0, -1021, SKIP, "4.4501477170144027661805e-308" }, 65 { 1.0, -1022, 1, "4.4501477170144027661805e-308" }, 66 { 1.0, -1022, SKIP, "2.2250738585072013830902e-308" }, 67 { 1.0, -1021, -1, "2.2250738585072013830902e-308" }, 68 { 1.0, 1023, -2045, "2.2250738585072013830902e-308" }, 69 { 1.0, 1023, -1023, " 1" }, 70 { 1.0, -1022, 1022, " 1" }, 71 { 0, 0, 0, NULL } 72 }; 73 74 struct ldexp_test ldexp_zero[] = { 75 { 0.0, -1, SKIP, " 0" }, 76 { 0.0, 0, SKIP, " 0" }, 77 { 0.0, 1, SKIP, " 0" }, 78 { 0.0, 1024, SKIP, " 0" }, 79 { 0.0, 1025, SKIP, " 0" }, 80 { 0.0, -1023, SKIP, " 0" }, 81 { 0.0, -1024, SKIP, " 0" }, 82 { 0, 0, 0, NULL } 83 }; 84 85 struct ldexp_test ldexp_infinity[] = { 86 { 1.0, 1024, -1, " inf" }, 87 { 1.0, 1024, 0, " inf" }, 88 { 1.0, 1024, 1, " inf" }, 89 { -1.0, 1024, -1, " -inf" }, 90 { -1.0, 1024, 0, " -inf" }, 91 { -1.0, 1024, 1, " -inf" }, 92 { 0, 0, 0, NULL } 93 }; 94 95 struct ldexp_test ldexp_overflow[] = { 96 { 1.0, 1024, SKIP, " inf" }, 97 { 1.0, 1023, 1, " inf" }, 98 { 1.0, -1022, 2046, " inf" }, 99 { 1.0, 1025, SKIP, " inf" }, 100 { -1.0, 1024, SKIP, " -inf" }, 101 { -1.0, 1023, 1, " -inf" }, 102 { -1.0, -1022, 2046, " -inf" }, 103 { -1.0, 1025, SKIP, " -inf" }, 104 { 0, 0, 0, NULL } 105 }; 106 107 struct ldexp_test ldexp_denormal[] = { 108 { 1.0, -1023, SKIP, "1.1125369292536006915451e-308" }, 109 { 1.0, -1022, -1, "1.1125369292536006915451e-308" }, 110 { 1.0, 1023, -2046, "1.1125369292536006915451e-308" }, 111 { 1.0, -1024, SKIP, "5.5626846462680034577256e-309" }, 112 { 1.0, -1074, SKIP, "4.9406564584124654417657e-324" }, 113 { -1.0, -1023, SKIP, "-1.1125369292536006915451e-308" }, 114 { -1.0, -1022, -1, "-1.1125369292536006915451e-308" }, 115 { -1.0, 1023, -2046, "-1.1125369292536006915451e-308" }, 116 { -1.0, -1024, SKIP, "-5.5626846462680034577256e-309" }, 117 { -1.0, -1074, SKIP, "-4.9406564584124654417657e-324" }, 118 { 0, 0, 0, NULL } 119 }; 120 121 struct ldexp_test ldexp_underflow[] = { 122 { 1.0, -1075, SKIP, " 0" }, 123 { 1.0, -1074, -1, " 0" }, 124 { 1.0, 1023, -2098, " 0" }, 125 { 1.0, -1076, SKIP, " 0" }, 126 { -1.0, -1075, SKIP, " -0" }, 127 { -1.0, -1074, -1, " -0" }, 128 { -1.0, 1023, -2098, " -0" }, 129 { -1.0, -1076, SKIP, " -0" }, 130 { 0, 0, 0, NULL } 131 }; 132 133 struct ldexp_test ldexp_denormal_large[] = { 134 { 1.0, -1028, 1024, " 0.0625" }, 135 { 1.0, -1028, 1025, " 0.125" }, 136 { 1.0, -1028, 1026, " 0.25" }, 137 { 1.0, -1028, 1027, " 0.5" }, 138 { 1.0, -1028, 1028, " 1" }, 139 { 1.0, -1028, 1029, " 2" }, 140 { 1.0, -1028, 1030, " 4" }, 141 { 1.0, -1028, 1040, " 4096" }, 142 { 1.0, -1028, 1050, " 4194304" }, 143 { 1.0, -1028, 1060, " 4294967296" }, 144 { 1.0, -1028, 1100, " 4722366482869645213696" }, 145 { 1.0, -1028, 1200, "5.9863107065073783529623e+51" }, 146 { 1.0, -1028, 1300, "7.5885503602567541832791e+81" }, 147 { 1.0, -1028, 1400, "9.6196304190416209014353e+111" }, 148 { 1.0, -1028, 1500, "1.2194330274671844653834e+142" }, 149 { 1.0, -1028, 1600, "1.5458150092069033378781e+172" }, 150 { 1.0, -1028, 1700, "1.9595533242629369747791e+202" }, 151 { 1.0, -1028, 1800, "2.4840289476811342962384e+232" }, 152 { 1.0, -1028, 1900, "3.1488807865122869393369e+262" }, 153 { 1.0, -1028, 2000, "3.9916806190694396233127e+292" }, 154 { 1.0, -1028, 2046, "2.808895523222368605827e+306" }, 155 { 1.0, -1028, 2047, "5.6177910464447372116541e+306" }, 156 { 1.0, -1028, 2048, "1.1235582092889474423308e+307" }, 157 { 1.0, -1028, 2049, "2.2471164185778948846616e+307" }, 158 { 1.0, -1028, 2050, "4.4942328371557897693233e+307" }, 159 { 1.0, -1028, 2051, "8.9884656743115795386465e+307" }, 160 { 0, 0, 0, NULL } 161 }; 162 163 static void 164 run_test(struct ldexp_test *table) 165 { 166 char outbuf[64]; 167 size_t i; 168 double v; 169 170 for (i = 0; table->result != NULL; table++, i++) { 171 172 v = ldexp(table->x, table->exp1); 173 174 if (table->exp2 == SKIP) 175 continue; 176 177 v = ldexp(v, table->exp2); 178 179 (void)snprintf(outbuf, sizeof(outbuf), FORMAT, v); 180 181 ATF_CHECK_STREQ_MSG(table->result, outbuf, 182 "Entry %zu:\n\tExp: \"%s\"\n\tAct: \"%s\"", 183 i, table->result, outbuf); 184 } 185 } 186 187 /* 188 * ldexp(3) 189 */ 190 ATF_TC(ldexp_exp2); 191 ATF_TC_HEAD(ldexp_exp2, tc) 192 { 193 atf_tc_set_md_var(tc, "descr", "Test ldexp(x, n) == x * exp2(n)"); 194 } 195 196 ATF_TC_BODY(ldexp_exp2, tc) 197 { 198 const double n[] = { 1, 2, 3, 10, 50, 100 }; 199 #if __DBL_MIN_10_EXP__ <= -40 200 const double eps = 1.0e-40; 201 #else 202 const double eps = __DBL_MIN__*4.0; 203 #endif 204 const double x = 12.0; 205 double y; 206 size_t i; 207 208 for (i = 0; i < __arraycount(n); i++) { 209 210 y = ldexp(x, n[i]); 211 212 if (fabs(y - (x * exp2(n[i]))) > eps) { 213 atf_tc_fail_nonfatal("ldexp(%0.01f, %0.01f) " 214 "!= %0.01f * exp2(%0.01f)", x, n[i], x, n[i]); 215 } 216 } 217 } 218 219 ATF_TC(ldexp_nan); 220 ATF_TC_HEAD(ldexp_nan, tc) 221 { 222 atf_tc_set_md_var(tc, "descr", "Test ldexp(NaN) == NaN"); 223 } 224 225 ATF_TC_BODY(ldexp_nan, tc) 226 { 227 const double x = 0.0L / 0.0L; 228 double y; 229 size_t i; 230 231 ATF_REQUIRE(isnan(x) != 0); 232 233 for (i = 0; i < __arraycount(exps); i++) { 234 y = ldexp(x, exps[i]); 235 ATF_CHECK(isnan(y) != 0); 236 } 237 } 238 239 ATF_TC(ldexp_inf_neg); 240 ATF_TC_HEAD(ldexp_inf_neg, tc) 241 { 242 atf_tc_set_md_var(tc, "descr", "Test ldexp(-Inf) == -Inf"); 243 } 244 245 ATF_TC_BODY(ldexp_inf_neg, tc) 246 { 247 const double x = -1.0L / 0.0L; 248 size_t i; 249 250 for (i = 0; i < __arraycount(exps); i++) 251 ATF_CHECK(ldexp(x, exps[i]) == x); 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 const double x = 1.0L / 0.0L; 263 size_t i; 264 265 for (i = 0; i < __arraycount(exps); i++) 266 ATF_CHECK(ldexp(x, exps[i]) == x); 267 } 268 269 ATF_TC(ldexp_zero_neg); 270 ATF_TC_HEAD(ldexp_zero_neg, tc) 271 { 272 atf_tc_set_md_var(tc, "descr", "Test ldexp(-0.0) == -0.0"); 273 } 274 275 ATF_TC_BODY(ldexp_zero_neg, tc) 276 { 277 const double x = -0.0L; 278 double y; 279 size_t i; 280 281 ATF_REQUIRE(signbit(x) != 0); 282 283 for (i = 0; i < __arraycount(exps); i++) { 284 y = ldexp(x, exps[i]); 285 ATF_CHECK(x == y); 286 ATF_CHECK(signbit(y) != 0); 287 } 288 } 289 290 ATF_TC(ldexp_zero_pos); 291 ATF_TC_HEAD(ldexp_zero_pos, tc) 292 { 293 atf_tc_set_md_var(tc, "descr", "Test ldexp(+0.0) == +0.0"); 294 } 295 296 ATF_TC_BODY(ldexp_zero_pos, tc) 297 { 298 const double x = 0.0L; 299 double y; 300 size_t i; 301 302 ATF_REQUIRE(signbit(x) == 0); 303 304 for (i = 0; i < __arraycount(exps); i++) { 305 y = ldexp(x, exps[i]); 306 ATF_CHECK(x == y); 307 ATF_CHECK(signbit(y) == 0); 308 } 309 } 310 311 /* 312 * ldexpf(3) 313 */ 314 315 ATF_TC(ldexpf_exp2f); 316 ATF_TC_HEAD(ldexpf_exp2f, tc) 317 { 318 atf_tc_set_md_var(tc, "descr", "Test ldexpf(x, n) == x * exp2f(n)"); 319 } 320 321 ATF_TC_BODY(ldexpf_exp2f, tc) 322 { 323 const float n[] = { 1, 2, 3, 10, 50, 100 }; 324 const float eps = 1.0e-9; 325 const float x = 12.0; 326 float y; 327 size_t i; 328 329 for (i = 0; i < __arraycount(n); i++) { 330 331 y = ldexpf(x, n[i]); 332 333 if (fabsf(y - (x * exp2f(n[i]))) > eps) { 334 atf_tc_fail_nonfatal("ldexpf(%0.01f, %0.01f) " 335 "!= %0.01f * exp2f(%0.01f)", x, n[i], x, n[i]); 336 } 337 } 338 } 339 340 ATF_TC(ldexpf_nan); 341 ATF_TC_HEAD(ldexpf_nan, tc) 342 { 343 atf_tc_set_md_var(tc, "descr", "Test ldexpf(NaN) == NaN"); 344 } 345 346 ATF_TC_BODY(ldexpf_nan, tc) 347 { 348 const float x = 0.0L / 0.0L; 349 float y; 350 size_t i; 351 352 ATF_REQUIRE(isnan(x) != 0); 353 354 for (i = 0; i < __arraycount(exps); i++) { 355 y = ldexpf(x, exps[i]); 356 ATF_CHECK(isnan(y) != 0); 357 } 358 } 359 360 ATF_TC(ldexpf_inf_neg); 361 ATF_TC_HEAD(ldexpf_inf_neg, tc) 362 { 363 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-Inf) == -Inf"); 364 } 365 366 ATF_TC_BODY(ldexpf_inf_neg, tc) 367 { 368 const float x = -1.0L / 0.0L; 369 size_t i; 370 371 for (i = 0; i < __arraycount(exps); i++) 372 ATF_CHECK(ldexpf(x, exps[i]) == x); 373 } 374 375 ATF_TC(ldexpf_inf_pos); 376 ATF_TC_HEAD(ldexpf_inf_pos, tc) 377 { 378 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+Inf) == +Inf"); 379 } 380 381 ATF_TC_BODY(ldexpf_inf_pos, tc) 382 { 383 const float x = 1.0L / 0.0L; 384 size_t i; 385 386 for (i = 0; i < __arraycount(exps); i++) 387 ATF_CHECK(ldexpf(x, exps[i]) == x); 388 } 389 390 ATF_TC(ldexpf_zero_neg); 391 ATF_TC_HEAD(ldexpf_zero_neg, tc) 392 { 393 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-0.0) == -0.0"); 394 } 395 396 ATF_TC_BODY(ldexpf_zero_neg, tc) 397 { 398 const float x = -0.0L; 399 float y; 400 size_t i; 401 402 ATF_REQUIRE(signbit(x) != 0); 403 404 for (i = 0; i < __arraycount(exps); i++) { 405 y = ldexpf(x, exps[i]); 406 ATF_CHECK(x == y); 407 ATF_CHECK(signbit(y) != 0); 408 } 409 } 410 411 ATF_TC(ldexpf_zero_pos); 412 ATF_TC_HEAD(ldexpf_zero_pos, tc) 413 { 414 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+0.0) == +0.0"); 415 } 416 417 ATF_TC_BODY(ldexpf_zero_pos, tc) 418 { 419 const float x = 0.0L; 420 float y; 421 size_t i; 422 423 ATF_REQUIRE(signbit(x) == 0); 424 425 for (i = 0; i < __arraycount(exps); i++) { 426 y = ldexpf(x, exps[i]); 427 ATF_CHECK(x == y); 428 ATF_CHECK(signbit(y) == 0); 429 } 430 } 431 432 #define TEST(name, desc) \ 433 ATF_TC(name); \ 434 ATF_TC_HEAD(name, tc) \ 435 { \ 436 \ 437 atf_tc_set_md_var(tc, "descr", \ 438 "Test ldexp(3) for " ___STRING(desc)); \ 439 } \ 440 ATF_TC_BODY(name, tc) \ 441 { \ 442 if (strcmp("vax", MACHINE_ARCH) == 0) \ 443 atf_tc_skip("Test not valid for " MACHINE_ARCH); \ 444 run_test(name); \ 445 } 446 447 TEST(ldexp_basic, basics) 448 TEST(ldexp_zero, zero) 449 TEST(ldexp_infinity, infinity) 450 TEST(ldexp_overflow, overflow) 451 TEST(ldexp_denormal, denormal) 452 TEST(ldexp_denormal_large, large) 453 TEST(ldexp_underflow, underflow) 454 455 ATF_TP_ADD_TCS(tp) 456 { 457 458 ATF_TP_ADD_TC(tp, ldexp_basic); 459 ATF_TP_ADD_TC(tp, ldexp_zero); 460 ATF_TP_ADD_TC(tp, ldexp_infinity); 461 ATF_TP_ADD_TC(tp, ldexp_overflow); 462 ATF_TP_ADD_TC(tp, ldexp_denormal); 463 ATF_TP_ADD_TC(tp, ldexp_underflow); 464 ATF_TP_ADD_TC(tp, ldexp_denormal_large); 465 466 ATF_TP_ADD_TC(tp, ldexp_exp2); 467 ATF_TP_ADD_TC(tp, ldexp_nan); 468 ATF_TP_ADD_TC(tp, ldexp_inf_neg); 469 ATF_TP_ADD_TC(tp, ldexp_inf_pos); 470 ATF_TP_ADD_TC(tp, ldexp_zero_neg); 471 ATF_TP_ADD_TC(tp, ldexp_zero_pos); 472 473 ATF_TP_ADD_TC(tp, ldexpf_exp2f); 474 ATF_TP_ADD_TC(tp, ldexpf_nan); 475 ATF_TP_ADD_TC(tp, ldexpf_inf_neg); 476 ATF_TP_ADD_TC(tp, ldexpf_inf_pos); 477 ATF_TP_ADD_TC(tp, ldexpf_zero_neg); 478 ATF_TP_ADD_TC(tp, ldexpf_zero_pos); 479 480 return atf_no_error(); 481 } 482