1 /* $NetBSD: t_ldexp.c,v 1.16 2016/08/25 00:32:31 maya 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 1.16 2016/08/25 00:32:31 maya Exp $"); 33 34 #include <sys/param.h> 35 36 #include <atf-c.h> 37 38 #include <math.h> 39 #include <limits.h> 40 #include <stdio.h> 41 #include <string.h> 42 43 #define SKIP 9999 44 #define FORMAT "%23.23lg" 45 46 static const int exps[] = { 0, 1, -1, 100, -100 }; 47 48 struct ldexp_test { 49 double x; 50 int exp1; 51 int exp2; 52 const char *result; 53 }; 54 55 struct ldexp_test ldexp_basic[] = { 56 { 1.0, 5, SKIP, " 32" }, 57 { 1.0, 1022, SKIP, "4.4942328371557897693233e+307" }, 58 { 1.0, 1023, -1, "4.4942328371557897693233e+307" }, 59 { 1.0, 1023, SKIP, "8.9884656743115795386465e+307" }, 60 { 1.0, 1022, 1, "8.9884656743115795386465e+307" }, 61 { 1.0, -1022, 2045, "8.9884656743115795386465e+307" }, 62 { 1.0, -5, SKIP, " 0.03125" }, 63 { 1.0, -1021, SKIP, "4.4501477170144027661805e-308" }, 64 { 1.0, -1022, 1, "4.4501477170144027661805e-308" }, 65 { 1.0, -1022, SKIP, "2.2250738585072013830902e-308" }, 66 { 1.0, -1021, -1, "2.2250738585072013830902e-308" }, 67 { 1.0, 1023, -2045, "2.2250738585072013830902e-308" }, 68 { 1.0, 1023, -1023, " 1" }, 69 { 1.0, -1022, 1022, " 1" }, 70 { 0, 0, 0, NULL } 71 }; 72 73 struct ldexp_test ldexp_zero[] = { 74 { 0.0, -1, SKIP, " 0" }, 75 { 0.0, 0, SKIP, " 0" }, 76 { 0.0, 1, SKIP, " 0" }, 77 { 0.0, 1024, SKIP, " 0" }, 78 { 0.0, 1025, SKIP, " 0" }, 79 { 0.0, -1023, SKIP, " 0" }, 80 { 0.0, -1024, SKIP, " 0" }, 81 { 0, 0, 0, NULL } 82 }; 83 84 struct ldexp_test ldexp_infinity[] = { 85 { 1.0, 1024, -1, " inf" }, 86 { 1.0, 1024, 0, " inf" }, 87 { 1.0, 1024, 1, " inf" }, 88 { -1.0, 1024, -1, " -inf" }, 89 { -1.0, 1024, 0, " -inf" }, 90 { -1.0, 1024, 1, " -inf" }, 91 { 0, 0, 0, NULL } 92 }; 93 94 struct ldexp_test ldexp_overflow[] = { 95 { 1.0, 1024, SKIP, " inf" }, 96 { 1.0, 1023, 1, " inf" }, 97 { 1.0, -1022, 2046, " inf" }, 98 { 1.0, 1025, SKIP, " inf" }, 99 { 2.0, INT_MAX,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 { -2.0, INT_MAX,SKIP, " -inf" }, 105 { 0, 0, 0, NULL } 106 }; 107 108 struct ldexp_test ldexp_denormal[] = { 109 { 1.0, -1023, SKIP, "1.1125369292536006915451e-308" }, 110 { 1.0, -1022, -1, "1.1125369292536006915451e-308" }, 111 { 1.0, 1023, -2046, "1.1125369292536006915451e-308" }, 112 { 1.0, -1024, SKIP, "5.5626846462680034577256e-309" }, 113 { 1.0, -1074, SKIP, "4.9406564584124654417657e-324" }, 114 { -1.0, -1023, SKIP, "-1.1125369292536006915451e-308" }, 115 { -1.0, -1022, -1, "-1.1125369292536006915451e-308" }, 116 { -1.0, 1023, -2046, "-1.1125369292536006915451e-308" }, 117 { -1.0, -1024, SKIP, "-5.5626846462680034577256e-309" }, 118 { -1.0, -1074, SKIP, "-4.9406564584124654417657e-324" }, 119 { 0, 0, 0, NULL } 120 }; 121 122 struct ldexp_test ldexp_underflow[] = { 123 { 1.0, -1075, SKIP, " 0" }, 124 { 1.0, -1074, -1, " 0" }, 125 { 1.0, 1023, -2098, " 0" }, 126 { 1.0, -1076, SKIP, " 0" }, 127 { -1.0, -1075, SKIP, " -0" }, 128 { -1.0, -1074, -1, " -0" }, 129 { -1.0, 1023, -2098, " -0" }, 130 { -1.0, -1076, SKIP, " -0" }, 131 { 0, 0, 0, NULL } 132 }; 133 134 struct ldexp_test ldexp_denormal_large[] = { 135 { 1.0, -1028, 1024, " 0.0625" }, 136 { 1.0, -1028, 1025, " 0.125" }, 137 { 1.0, -1028, 1026, " 0.25" }, 138 { 1.0, -1028, 1027, " 0.5" }, 139 { 1.0, -1028, 1028, " 1" }, 140 { 1.0, -1028, 1029, " 2" }, 141 { 1.0, -1028, 1030, " 4" }, 142 { 1.0, -1028, 1040, " 4096" }, 143 { 1.0, -1028, 1050, " 4194304" }, 144 { 1.0, -1028, 1060, " 4294967296" }, 145 { 1.0, -1028, 1100, " 4722366482869645213696" }, 146 { 1.0, -1028, 1200, "5.9863107065073783529623e+51" }, 147 { 1.0, -1028, 1300, "7.5885503602567541832791e+81" }, 148 { 1.0, -1028, 1400, "9.6196304190416209014353e+111" }, 149 { 1.0, -1028, 1500, "1.2194330274671844653834e+142" }, 150 { 1.0, -1028, 1600, "1.5458150092069033378781e+172" }, 151 { 1.0, -1028, 1700, "1.9595533242629369747791e+202" }, 152 { 1.0, -1028, 1800, "2.4840289476811342962384e+232" }, 153 { 1.0, -1028, 1900, "3.1488807865122869393369e+262" }, 154 { 1.0, -1028, 2000, "3.9916806190694396233127e+292" }, 155 { 1.0, -1028, 2046, "2.808895523222368605827e+306" }, 156 { 1.0, -1028, 2047, "5.6177910464447372116541e+306" }, 157 { 1.0, -1028, 2048, "1.1235582092889474423308e+307" }, 158 { 1.0, -1028, 2049, "2.2471164185778948846616e+307" }, 159 { 1.0, -1028, 2050, "4.4942328371557897693233e+307" }, 160 { 1.0, -1028, 2051, "8.9884656743115795386465e+307" }, 161 { 0, 0, 0, NULL } 162 }; 163 164 static void 165 run_test(struct ldexp_test *table) 166 { 167 char outbuf[64]; 168 size_t i; 169 double v; 170 171 for (i = 0; table->result != NULL; table++, i++) { 172 173 v = ldexp(table->x, table->exp1); 174 175 if (table->exp2 != SKIP) 176 v = ldexp(v, table->exp2); 177 178 (void)snprintf(outbuf, sizeof(outbuf), FORMAT, v); 179 180 ATF_CHECK_STREQ_MSG(table->result, outbuf, 181 "Entry %zu:\n\tExp: \"%s\"\n\tAct: \"%s\"", 182 i, table->result, outbuf); 183 } 184 } 185 186 /* 187 * ldexp(3) 188 */ 189 ATF_TC(ldexp_exp2); 190 ATF_TC_HEAD(ldexp_exp2, tc) 191 { 192 atf_tc_set_md_var(tc, "descr", "Test ldexp(x, n) == x * exp2(n)"); 193 } 194 195 ATF_TC_BODY(ldexp_exp2, tc) 196 { 197 const double n[] = { 1, 2, 3, 10, 50, 100 }; 198 #if __DBL_MIN_10_EXP__ <= -40 199 const double eps = 1.0e-40; 200 #else 201 const double eps = __DBL_MIN__*4.0; 202 #endif 203 const double x = 12.0; 204 double y; 205 size_t i; 206 207 for (i = 0; i < __arraycount(n); i++) { 208 209 y = ldexp(x, n[i]); 210 211 if (fabs(y - (x * exp2(n[i]))) > eps) { 212 atf_tc_fail_nonfatal("ldexp(%0.01f, %0.01f) " 213 "!= %0.01f * exp2(%0.01f)", x, n[i], x, n[i]); 214 } 215 } 216 } 217 218 ATF_TC(ldexp_nan); 219 ATF_TC_HEAD(ldexp_nan, tc) 220 { 221 atf_tc_set_md_var(tc, "descr", "Test ldexp(NaN) == NaN"); 222 } 223 224 ATF_TC_BODY(ldexp_nan, tc) 225 { 226 const double x = 0.0L / 0.0L; 227 double y; 228 size_t i; 229 230 ATF_REQUIRE(isnan(x) != 0); 231 232 for (i = 0; i < __arraycount(exps); i++) { 233 y = ldexp(x, exps[i]); 234 ATF_CHECK(isnan(y) != 0); 235 } 236 } 237 238 ATF_TC(ldexp_inf_neg); 239 ATF_TC_HEAD(ldexp_inf_neg, tc) 240 { 241 atf_tc_set_md_var(tc, "descr", "Test ldexp(-Inf) == -Inf"); 242 } 243 244 ATF_TC_BODY(ldexp_inf_neg, tc) 245 { 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 } 252 253 ATF_TC(ldexp_inf_pos); 254 ATF_TC_HEAD(ldexp_inf_pos, tc) 255 { 256 atf_tc_set_md_var(tc, "descr", "Test ldexp(+Inf) == +Inf"); 257 } 258 259 ATF_TC_BODY(ldexp_inf_pos, tc) 260 { 261 const double x = 1.0L / 0.0L; 262 size_t i; 263 264 for (i = 0; i < __arraycount(exps); i++) 265 ATF_CHECK(ldexp(x, exps[i]) == x); 266 } 267 268 ATF_TC(ldexp_zero_neg); 269 ATF_TC_HEAD(ldexp_zero_neg, tc) 270 { 271 atf_tc_set_md_var(tc, "descr", "Test ldexp(-0.0) == -0.0"); 272 } 273 274 ATF_TC_BODY(ldexp_zero_neg, tc) 275 { 276 const double x = -0.0L; 277 double y; 278 size_t i; 279 280 ATF_REQUIRE(signbit(x) != 0); 281 282 for (i = 0; i < __arraycount(exps); i++) { 283 y = ldexp(x, exps[i]); 284 ATF_CHECK(x == y); 285 ATF_CHECK(signbit(y) != 0); 286 } 287 } 288 289 ATF_TC(ldexp_zero_pos); 290 ATF_TC_HEAD(ldexp_zero_pos, tc) 291 { 292 atf_tc_set_md_var(tc, "descr", "Test ldexp(+0.0) == +0.0"); 293 } 294 295 ATF_TC_BODY(ldexp_zero_pos, tc) 296 { 297 const double x = 0.0L; 298 double y; 299 size_t i; 300 301 ATF_REQUIRE(signbit(x) == 0); 302 303 for (i = 0; i < __arraycount(exps); i++) { 304 y = ldexp(x, exps[i]); 305 ATF_CHECK(x == y); 306 ATF_CHECK(signbit(y) == 0); 307 } 308 } 309 310 /* 311 * ldexpf(3) 312 */ 313 314 ATF_TC(ldexpf_exp2f); 315 ATF_TC_HEAD(ldexpf_exp2f, tc) 316 { 317 atf_tc_set_md_var(tc, "descr", "Test ldexpf(x, n) == x * exp2f(n)"); 318 } 319 320 ATF_TC_BODY(ldexpf_exp2f, tc) 321 { 322 const float n[] = { 1, 2, 3, 10, 50, 100 }; 323 const float eps = 1.0e-9; 324 const float x = 12.0; 325 float y; 326 size_t i; 327 328 for (i = 0; i < __arraycount(n); i++) { 329 330 y = ldexpf(x, n[i]); 331 332 if (fabsf(y - (x * exp2f(n[i]))) > eps) { 333 atf_tc_fail_nonfatal("ldexpf(%0.01f, %0.01f) " 334 "!= %0.01f * exp2f(%0.01f)", x, n[i], x, n[i]); 335 } 336 } 337 } 338 339 ATF_TC(ldexpf_nan); 340 ATF_TC_HEAD(ldexpf_nan, tc) 341 { 342 atf_tc_set_md_var(tc, "descr", "Test ldexpf(NaN) == NaN"); 343 } 344 345 ATF_TC_BODY(ldexpf_nan, tc) 346 { 347 const float x = 0.0L / 0.0L; 348 float y; 349 size_t i; 350 351 ATF_REQUIRE(isnan(x) != 0); 352 353 for (i = 0; i < __arraycount(exps); i++) { 354 y = ldexpf(x, exps[i]); 355 ATF_CHECK(isnan(y) != 0); 356 } 357 } 358 359 ATF_TC(ldexpf_inf_neg); 360 ATF_TC_HEAD(ldexpf_inf_neg, tc) 361 { 362 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-Inf) == -Inf"); 363 } 364 365 ATF_TC_BODY(ldexpf_inf_neg, tc) 366 { 367 const float x = -1.0L / 0.0L; 368 size_t i; 369 370 for (i = 0; i < __arraycount(exps); i++) 371 ATF_CHECK(ldexpf(x, exps[i]) == x); 372 } 373 374 ATF_TC(ldexpf_inf_pos); 375 ATF_TC_HEAD(ldexpf_inf_pos, tc) 376 { 377 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+Inf) == +Inf"); 378 } 379 380 ATF_TC_BODY(ldexpf_inf_pos, tc) 381 { 382 const float x = 1.0L / 0.0L; 383 size_t i; 384 385 for (i = 0; i < __arraycount(exps); i++) 386 ATF_CHECK(ldexpf(x, exps[i]) == x); 387 } 388 389 ATF_TC(ldexpf_zero_neg); 390 ATF_TC_HEAD(ldexpf_zero_neg, tc) 391 { 392 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-0.0) == -0.0"); 393 } 394 395 ATF_TC_BODY(ldexpf_zero_neg, tc) 396 { 397 const float x = -0.0L; 398 float y; 399 size_t i; 400 401 ATF_REQUIRE(signbit(x) != 0); 402 403 for (i = 0; i < __arraycount(exps); i++) { 404 y = ldexpf(x, exps[i]); 405 ATF_CHECK(x == y); 406 ATF_CHECK(signbit(y) != 0); 407 } 408 } 409 410 ATF_TC(ldexpf_zero_pos); 411 ATF_TC_HEAD(ldexpf_zero_pos, tc) 412 { 413 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+0.0) == +0.0"); 414 } 415 416 ATF_TC_BODY(ldexpf_zero_pos, tc) 417 { 418 const float x = 0.0L; 419 float y; 420 size_t i; 421 422 ATF_REQUIRE(signbit(x) == 0); 423 424 for (i = 0; i < __arraycount(exps); i++) { 425 y = ldexpf(x, exps[i]); 426 ATF_CHECK(x == y); 427 ATF_CHECK(signbit(y) == 0); 428 } 429 } 430 431 #define TEST(name, desc) \ 432 ATF_TC(name); \ 433 ATF_TC_HEAD(name, tc) \ 434 { \ 435 \ 436 atf_tc_set_md_var(tc, "descr", \ 437 "Test ldexp(3) for " ___STRING(desc)); \ 438 } \ 439 ATF_TC_BODY(name, tc) \ 440 { \ 441 if (strcmp("vax", MACHINE_ARCH) == 0) \ 442 atf_tc_skip("Test not valid for " MACHINE_ARCH); \ 443 run_test(name); \ 444 } 445 446 TEST(ldexp_basic, basics) 447 TEST(ldexp_zero, zero) 448 TEST(ldexp_infinity, infinity) 449 TEST(ldexp_overflow, overflow) 450 TEST(ldexp_denormal, denormal) 451 TEST(ldexp_denormal_large, large) 452 TEST(ldexp_underflow, underflow) 453 454 ATF_TP_ADD_TCS(tp) 455 { 456 457 ATF_TP_ADD_TC(tp, ldexp_basic); 458 ATF_TP_ADD_TC(tp, ldexp_zero); 459 ATF_TP_ADD_TC(tp, ldexp_infinity); 460 ATF_TP_ADD_TC(tp, ldexp_overflow); 461 ATF_TP_ADD_TC(tp, ldexp_denormal); 462 ATF_TP_ADD_TC(tp, ldexp_underflow); 463 ATF_TP_ADD_TC(tp, ldexp_denormal_large); 464 465 ATF_TP_ADD_TC(tp, ldexp_exp2); 466 ATF_TP_ADD_TC(tp, ldexp_nan); 467 ATF_TP_ADD_TC(tp, ldexp_inf_neg); 468 ATF_TP_ADD_TC(tp, ldexp_inf_pos); 469 ATF_TP_ADD_TC(tp, ldexp_zero_neg); 470 ATF_TP_ADD_TC(tp, ldexp_zero_pos); 471 472 ATF_TP_ADD_TC(tp, ldexpf_exp2f); 473 ATF_TP_ADD_TC(tp, ldexpf_nan); 474 ATF_TP_ADD_TC(tp, ldexpf_inf_neg); 475 ATF_TP_ADD_TC(tp, ldexpf_inf_pos); 476 ATF_TP_ADD_TC(tp, ldexpf_zero_neg); 477 ATF_TP_ADD_TC(tp, ldexpf_zero_pos); 478 479 return atf_no_error(); 480 } 481