1 /* $NetBSD: t_ldexp.c,v 1.17 2018/11/07 03:59:36 riastradh 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 1.17 2018/11/07 03:59:36 riastradh Exp $"); 33 34 #include <sys/param.h> 35 36 #include <atf-c.h> 37 38 #include <float.h> 39 #include <limits.h> 40 #include <math.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 static 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 static 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 static 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 static 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 { 2.0, INT_MAX,SKIP, " inf" }, 101 { -1.0, 1024, SKIP, " -inf" }, 102 { -1.0, 1023, 1, " -inf" }, 103 { -1.0, -1022, 2046, " -inf" }, 104 { -1.0, 1025, SKIP, " -inf" }, 105 { -2.0, INT_MAX,SKIP, " -inf" }, 106 { 0, 0, 0, NULL } 107 }; 108 109 static struct ldexp_test ldexp_denormal[] = { 110 { 1.0, -1023, SKIP, "1.1125369292536006915451e-308" }, 111 { 1.0, -1022, -1, "1.1125369292536006915451e-308" }, 112 { 1.0, 1023, -2046, "1.1125369292536006915451e-308" }, 113 { 1.0, -1024, SKIP, "5.5626846462680034577256e-309" }, 114 { 1.0, -1074, SKIP, "4.9406564584124654417657e-324" }, 115 { -1.0, -1023, SKIP, "-1.1125369292536006915451e-308" }, 116 { -1.0, -1022, -1, "-1.1125369292536006915451e-308" }, 117 { -1.0, 1023, -2046, "-1.1125369292536006915451e-308" }, 118 { -1.0, -1024, SKIP, "-5.5626846462680034577256e-309" }, 119 { -1.0, -1074, SKIP, "-4.9406564584124654417657e-324" }, 120 { 0, 0, 0, NULL } 121 }; 122 123 static struct ldexp_test ldexp_underflow[] = { 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 { -1.0, -1075, SKIP, " -0" }, 129 { -1.0, -1074, -1, " -0" }, 130 { -1.0, 1023, -2098, " -0" }, 131 { -1.0, -1076, SKIP, " -0" }, 132 { 0, 0, 0, NULL } 133 }; 134 135 static struct ldexp_test ldexp_denormal_large[] = { 136 { 1.0, -1028, 1024, " 0.0625" }, 137 { 1.0, -1028, 1025, " 0.125" }, 138 { 1.0, -1028, 1026, " 0.25" }, 139 { 1.0, -1028, 1027, " 0.5" }, 140 { 1.0, -1028, 1028, " 1" }, 141 { 1.0, -1028, 1029, " 2" }, 142 { 1.0, -1028, 1030, " 4" }, 143 { 1.0, -1028, 1040, " 4096" }, 144 { 1.0, -1028, 1050, " 4194304" }, 145 { 1.0, -1028, 1060, " 4294967296" }, 146 { 1.0, -1028, 1100, " 4722366482869645213696" }, 147 { 1.0, -1028, 1200, "5.9863107065073783529623e+51" }, 148 { 1.0, -1028, 1300, "7.5885503602567541832791e+81" }, 149 { 1.0, -1028, 1400, "9.6196304190416209014353e+111" }, 150 { 1.0, -1028, 1500, "1.2194330274671844653834e+142" }, 151 { 1.0, -1028, 1600, "1.5458150092069033378781e+172" }, 152 { 1.0, -1028, 1700, "1.9595533242629369747791e+202" }, 153 { 1.0, -1028, 1800, "2.4840289476811342962384e+232" }, 154 { 1.0, -1028, 1900, "3.1488807865122869393369e+262" }, 155 { 1.0, -1028, 2000, "3.9916806190694396233127e+292" }, 156 { 1.0, -1028, 2046, "2.808895523222368605827e+306" }, 157 { 1.0, -1028, 2047, "5.6177910464447372116541e+306" }, 158 { 1.0, -1028, 2048, "1.1235582092889474423308e+307" }, 159 { 1.0, -1028, 2049, "2.2471164185778948846616e+307" }, 160 { 1.0, -1028, 2050, "4.4942328371557897693233e+307" }, 161 { 1.0, -1028, 2051, "8.9884656743115795386465e+307" }, 162 { 0, 0, 0, NULL } 163 }; 164 165 static void 166 run_test(struct ldexp_test *table) 167 { 168 char outbuf[64]; 169 size_t i; 170 double v; 171 172 for (i = 0; table->result != NULL; table++, i++) { 173 174 v = ldexp(table->x, table->exp1); 175 176 if (table->exp2 != SKIP) 177 v = ldexp(v, table->exp2); 178 179 (void)snprintf(outbuf, sizeof(outbuf), FORMAT, v); 180 ATF_CHECK_STREQ_MSG(table->result, outbuf, 181 "Entry %zu:\n\tExp: \"%s\"\n\tAct: \"%s\"/%a", 182 i, table->result, outbuf, v); 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 const double eps = DBL_EPSILON; 199 const double x = 12.0; 200 size_t i; 201 202 for (i = 0; i < __arraycount(n); i++) { 203 double y = ldexp(x, n[i]); 204 205 if (!(fabs((y - (x * exp2(n[i])))/y) <= eps)) { 206 atf_tc_fail_nonfatal("ldexp(%.17g, %.17g) = %.17g " 207 "!= %.17g * exp2(%.17g) = %.17g", 208 x, n[i], y, x, n[i], (x * exp2(n[i]))); 209 } 210 } 211 } 212 213 ATF_TC(ldexp_nan); 214 ATF_TC_HEAD(ldexp_nan, tc) 215 { 216 atf_tc_set_md_var(tc, "descr", "Test ldexp(NaN) == NaN"); 217 } 218 219 ATF_TC_BODY(ldexp_nan, tc) 220 { 221 const double x = 0.0L / 0.0L; 222 double y; 223 size_t i; 224 225 ATF_REQUIRE(isnan(x) != 0); 226 227 for (i = 0; i < __arraycount(exps); i++) { 228 y = ldexp(x, exps[i]); 229 ATF_CHECK(isnan(y) != 0); 230 } 231 } 232 233 ATF_TC(ldexp_inf_neg); 234 ATF_TC_HEAD(ldexp_inf_neg, tc) 235 { 236 atf_tc_set_md_var(tc, "descr", "Test ldexp(-Inf) == -Inf"); 237 } 238 239 ATF_TC_BODY(ldexp_inf_neg, tc) 240 { 241 const double x = -1.0L / 0.0L; 242 size_t i; 243 244 for (i = 0; i < __arraycount(exps); i++) 245 ATF_CHECK(ldexp(x, exps[i]) == x); 246 } 247 248 ATF_TC(ldexp_inf_pos); 249 ATF_TC_HEAD(ldexp_inf_pos, tc) 250 { 251 atf_tc_set_md_var(tc, "descr", "Test ldexp(+Inf) == +Inf"); 252 } 253 254 ATF_TC_BODY(ldexp_inf_pos, tc) 255 { 256 const double x = 1.0L / 0.0L; 257 size_t i; 258 259 for (i = 0; i < __arraycount(exps); i++) 260 ATF_CHECK(ldexp(x, exps[i]) == x); 261 } 262 263 ATF_TC(ldexp_zero_neg); 264 ATF_TC_HEAD(ldexp_zero_neg, tc) 265 { 266 atf_tc_set_md_var(tc, "descr", "Test ldexp(-0.0) == -0.0"); 267 } 268 269 ATF_TC_BODY(ldexp_zero_neg, tc) 270 { 271 const double x = -0.0L; 272 double y; 273 size_t i; 274 275 ATF_REQUIRE(signbit(x) != 0); 276 277 for (i = 0; i < __arraycount(exps); i++) { 278 y = ldexp(x, exps[i]); 279 ATF_CHECK(x == y); 280 ATF_CHECK(signbit(y) != 0); 281 } 282 } 283 284 ATF_TC(ldexp_zero_pos); 285 ATF_TC_HEAD(ldexp_zero_pos, tc) 286 { 287 atf_tc_set_md_var(tc, "descr", "Test ldexp(+0.0) == +0.0"); 288 } 289 290 ATF_TC_BODY(ldexp_zero_pos, tc) 291 { 292 const double x = 0.0L; 293 double y; 294 size_t i; 295 296 ATF_REQUIRE(signbit(x) == 0); 297 298 for (i = 0; i < __arraycount(exps); i++) { 299 y = ldexp(x, exps[i]); 300 ATF_CHECK(x == y); 301 ATF_CHECK(signbit(y) == 0); 302 } 303 } 304 305 /* 306 * ldexpf(3) 307 */ 308 309 ATF_TC(ldexpf_exp2f); 310 ATF_TC_HEAD(ldexpf_exp2f, tc) 311 { 312 atf_tc_set_md_var(tc, "descr", "Test ldexpf(x, n) == x * exp2f(n)"); 313 } 314 315 ATF_TC_BODY(ldexpf_exp2f, tc) 316 { 317 const float n[] = { 1, 2, 3, 10, 50, 100 }; 318 const float eps = FLT_EPSILON; 319 const float x = 12.0; 320 size_t i; 321 322 for (i = 0; i < __arraycount(n); i++) { 323 float y = ldexpf(x, n[i]); 324 325 if (!(fabsf((y - (x * exp2f(n[i])))/y) <= eps)) { 326 atf_tc_fail_nonfatal("ldexpf(%.17g, %.17g) = %.17g " 327 "!= %.17g * exp2f(%.17g) = %.17g", 328 x, n[i], y, x, n[i], (x * exp2f(n[i]))); 329 } 330 } 331 } 332 333 ATF_TC(ldexpf_nan); 334 ATF_TC_HEAD(ldexpf_nan, tc) 335 { 336 atf_tc_set_md_var(tc, "descr", "Test ldexpf(NaN) == NaN"); 337 } 338 339 ATF_TC_BODY(ldexpf_nan, tc) 340 { 341 const float x = 0.0L / 0.0L; 342 float y; 343 size_t i; 344 345 ATF_REQUIRE(isnan(x) != 0); 346 347 for (i = 0; i < __arraycount(exps); i++) { 348 y = ldexpf(x, exps[i]); 349 ATF_CHECK(isnan(y) != 0); 350 } 351 } 352 353 ATF_TC(ldexpf_inf_neg); 354 ATF_TC_HEAD(ldexpf_inf_neg, tc) 355 { 356 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-Inf) == -Inf"); 357 } 358 359 ATF_TC_BODY(ldexpf_inf_neg, tc) 360 { 361 const float x = -1.0L / 0.0L; 362 size_t i; 363 364 for (i = 0; i < __arraycount(exps); i++) 365 ATF_CHECK(ldexpf(x, exps[i]) == x); 366 } 367 368 ATF_TC(ldexpf_inf_pos); 369 ATF_TC_HEAD(ldexpf_inf_pos, tc) 370 { 371 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+Inf) == +Inf"); 372 } 373 374 ATF_TC_BODY(ldexpf_inf_pos, tc) 375 { 376 const float x = 1.0L / 0.0L; 377 size_t i; 378 379 for (i = 0; i < __arraycount(exps); i++) 380 ATF_CHECK(ldexpf(x, exps[i]) == x); 381 } 382 383 ATF_TC(ldexpf_zero_neg); 384 ATF_TC_HEAD(ldexpf_zero_neg, tc) 385 { 386 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-0.0) == -0.0"); 387 } 388 389 ATF_TC_BODY(ldexpf_zero_neg, tc) 390 { 391 const float x = -0.0L; 392 float y; 393 size_t i; 394 395 ATF_REQUIRE(signbit(x) != 0); 396 397 for (i = 0; i < __arraycount(exps); i++) { 398 y = ldexpf(x, exps[i]); 399 ATF_CHECK(x == y); 400 ATF_CHECK(signbit(y) != 0); 401 } 402 } 403 404 ATF_TC(ldexpf_zero_pos); 405 ATF_TC_HEAD(ldexpf_zero_pos, tc) 406 { 407 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+0.0) == +0.0"); 408 } 409 410 ATF_TC_BODY(ldexpf_zero_pos, tc) 411 { 412 const float x = 0.0L; 413 float y; 414 size_t i; 415 416 ATF_REQUIRE(signbit(x) == 0); 417 418 for (i = 0; i < __arraycount(exps); i++) { 419 y = ldexpf(x, exps[i]); 420 ATF_CHECK(x == y); 421 ATF_CHECK(signbit(y) == 0); 422 } 423 } 424 425 #define TEST(name, desc) \ 426 ATF_TC(name); \ 427 ATF_TC_HEAD(name, tc) \ 428 { \ 429 \ 430 atf_tc_set_md_var(tc, "descr", \ 431 "Test ldexp(3) for " ___STRING(desc)); \ 432 } \ 433 ATF_TC_BODY(name, tc) \ 434 { \ 435 if (strcmp("vax", MACHINE_ARCH) == 0) \ 436 atf_tc_skip("Test not valid for " MACHINE_ARCH); \ 437 run_test(name); \ 438 } 439 440 TEST(ldexp_basic, basics) 441 TEST(ldexp_zero, zero) 442 TEST(ldexp_infinity, infinity) 443 TEST(ldexp_overflow, overflow) 444 TEST(ldexp_denormal, denormal) 445 TEST(ldexp_denormal_large, large) 446 TEST(ldexp_underflow, underflow) 447 448 ATF_TP_ADD_TCS(tp) 449 { 450 451 ATF_TP_ADD_TC(tp, ldexp_basic); 452 ATF_TP_ADD_TC(tp, ldexp_zero); 453 ATF_TP_ADD_TC(tp, ldexp_infinity); 454 ATF_TP_ADD_TC(tp, ldexp_overflow); 455 ATF_TP_ADD_TC(tp, ldexp_denormal); 456 ATF_TP_ADD_TC(tp, ldexp_underflow); 457 ATF_TP_ADD_TC(tp, ldexp_denormal_large); 458 459 ATF_TP_ADD_TC(tp, ldexp_exp2); 460 ATF_TP_ADD_TC(tp, ldexp_nan); 461 ATF_TP_ADD_TC(tp, ldexp_inf_neg); 462 ATF_TP_ADD_TC(tp, ldexp_inf_pos); 463 ATF_TP_ADD_TC(tp, ldexp_zero_neg); 464 ATF_TP_ADD_TC(tp, ldexp_zero_pos); 465 466 ATF_TP_ADD_TC(tp, ldexpf_exp2f); 467 ATF_TP_ADD_TC(tp, ldexpf_nan); 468 ATF_TP_ADD_TC(tp, ldexpf_inf_neg); 469 ATF_TP_ADD_TC(tp, ldexpf_inf_pos); 470 ATF_TP_ADD_TC(tp, ldexpf_zero_neg); 471 ATF_TP_ADD_TC(tp, ldexpf_zero_pos); 472 473 return atf_no_error(); 474 } 475