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 47static const int exps[] = { 0, 1, -1, 100, -100 }; 48 49struct ldexp_test { 50 double x; 51 int exp1; 52 int exp2; 53 const char *result; 54}; 55 56struct 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 74struct 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 85struct 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 95struct 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 109struct 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 123struct 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 135struct 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 165static void 166run_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); 180 181 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 */ 190ATF_TC(ldexp_exp2); 191ATF_TC_HEAD(ldexp_exp2, tc) 192{ 193 atf_tc_set_md_var(tc, "descr", "Test ldexp(x, n) == x * exp2(n)"); 194} 195 196ATF_TC_BODY(ldexp_exp2, tc) 197{ 198 const double n[] = { 1, 2, 3, 10, 50, 100 }; 199 const double eps = DBL_EPSILON; 200 const double x = 12.0; 201 size_t i; 202 203 for (i = 0; i < __arraycount(n); i++) { 204 double y = ldexp(x, n[i]); 205 206 if (!(fabs((y - (x * exp2(n[i])))/y) <= eps)) { 207 atf_tc_fail_nonfatal("ldexp(%.17g, %.17g) = %.17g " 208 "!= %.17g * exp2(%.17g) = %.17g", 209 x, n[i], y, x, n[i], (x * exp2(n[i]))); 210 } 211 } 212} 213 214ATF_TC(ldexp_nan); 215ATF_TC_HEAD(ldexp_nan, tc) 216{ 217 atf_tc_set_md_var(tc, "descr", "Test ldexp(NaN) == NaN"); 218} 219 220ATF_TC_BODY(ldexp_nan, tc) 221{ 222 const double x = 0.0L / 0.0L; 223 double y; 224 size_t i; 225 226 ATF_REQUIRE(isnan(x) != 0); 227 228 for (i = 0; i < __arraycount(exps); i++) { 229 y = ldexp(x, exps[i]); 230 ATF_CHECK(isnan(y) != 0); 231 } 232} 233 234ATF_TC(ldexp_inf_neg); 235ATF_TC_HEAD(ldexp_inf_neg, tc) 236{ 237 atf_tc_set_md_var(tc, "descr", "Test ldexp(-Inf) == -Inf"); 238} 239 240ATF_TC_BODY(ldexp_inf_neg, tc) 241{ 242 const double x = -1.0L / 0.0L; 243 size_t i; 244 245 for (i = 0; i < __arraycount(exps); i++) 246 ATF_CHECK(ldexp(x, exps[i]) == x); 247} 248 249ATF_TC(ldexp_inf_pos); 250ATF_TC_HEAD(ldexp_inf_pos, tc) 251{ 252 atf_tc_set_md_var(tc, "descr", "Test ldexp(+Inf) == +Inf"); 253} 254 255ATF_TC_BODY(ldexp_inf_pos, tc) 256{ 257 const double x = 1.0L / 0.0L; 258 size_t i; 259 260 for (i = 0; i < __arraycount(exps); i++) 261 ATF_CHECK(ldexp(x, exps[i]) == x); 262} 263 264ATF_TC(ldexp_zero_neg); 265ATF_TC_HEAD(ldexp_zero_neg, tc) 266{ 267 atf_tc_set_md_var(tc, "descr", "Test ldexp(-0.0) == -0.0"); 268} 269 270ATF_TC_BODY(ldexp_zero_neg, tc) 271{ 272 const double x = -0.0L; 273 double y; 274 size_t i; 275 276 ATF_REQUIRE(signbit(x) != 0); 277 278 for (i = 0; i < __arraycount(exps); i++) { 279 y = ldexp(x, exps[i]); 280 ATF_CHECK(x == y); 281 ATF_CHECK(signbit(y) != 0); 282 } 283} 284 285ATF_TC(ldexp_zero_pos); 286ATF_TC_HEAD(ldexp_zero_pos, tc) 287{ 288 atf_tc_set_md_var(tc, "descr", "Test ldexp(+0.0) == +0.0"); 289} 290 291ATF_TC_BODY(ldexp_zero_pos, tc) 292{ 293 const double x = 0.0L; 294 double y; 295 size_t i; 296 297 ATF_REQUIRE(signbit(x) == 0); 298 299 for (i = 0; i < __arraycount(exps); i++) { 300 y = ldexp(x, exps[i]); 301 ATF_CHECK(x == y); 302 ATF_CHECK(signbit(y) == 0); 303 } 304} 305 306/* 307 * ldexpf(3) 308 */ 309 310ATF_TC(ldexpf_exp2f); 311ATF_TC_HEAD(ldexpf_exp2f, tc) 312{ 313 atf_tc_set_md_var(tc, "descr", "Test ldexpf(x, n) == x * exp2f(n)"); 314} 315 316ATF_TC_BODY(ldexpf_exp2f, tc) 317{ 318 const float n[] = { 1, 2, 3, 10, 50, 100 }; 319 const float eps = FLT_EPSILON; 320 const float x = 12.0; 321 size_t i; 322 323 for (i = 0; i < __arraycount(n); i++) { 324 float y = ldexpf(x, n[i]); 325 326 if (!(fabsf((y - (x * exp2f(n[i])))/y) <= eps)) { 327 atf_tc_fail_nonfatal("ldexpf(%.17g, %.17g) = %.17g " 328 "!= %.17g * exp2f(%.17g) = %.17g", 329 x, n[i], y, x, n[i], (x * exp2f(n[i]))); 330 } 331 } 332} 333 334ATF_TC(ldexpf_nan); 335ATF_TC_HEAD(ldexpf_nan, tc) 336{ 337 atf_tc_set_md_var(tc, "descr", "Test ldexpf(NaN) == NaN"); 338} 339 340ATF_TC_BODY(ldexpf_nan, tc) 341{ 342 const float x = 0.0L / 0.0L; 343 float y; 344 size_t i; 345 346 ATF_REQUIRE(isnan(x) != 0); 347 348 for (i = 0; i < __arraycount(exps); i++) { 349 y = ldexpf(x, exps[i]); 350 ATF_CHECK(isnan(y) != 0); 351 } 352} 353 354ATF_TC(ldexpf_inf_neg); 355ATF_TC_HEAD(ldexpf_inf_neg, tc) 356{ 357 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-Inf) == -Inf"); 358} 359 360ATF_TC_BODY(ldexpf_inf_neg, tc) 361{ 362 const float x = -1.0L / 0.0L; 363 size_t i; 364 365 for (i = 0; i < __arraycount(exps); i++) 366 ATF_CHECK(ldexpf(x, exps[i]) == x); 367} 368 369ATF_TC(ldexpf_inf_pos); 370ATF_TC_HEAD(ldexpf_inf_pos, tc) 371{ 372 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+Inf) == +Inf"); 373} 374 375ATF_TC_BODY(ldexpf_inf_pos, tc) 376{ 377 const float x = 1.0L / 0.0L; 378 size_t i; 379 380 for (i = 0; i < __arraycount(exps); i++) 381 ATF_CHECK(ldexpf(x, exps[i]) == x); 382} 383 384ATF_TC(ldexpf_zero_neg); 385ATF_TC_HEAD(ldexpf_zero_neg, tc) 386{ 387 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-0.0) == -0.0"); 388} 389 390ATF_TC_BODY(ldexpf_zero_neg, tc) 391{ 392 const float x = -0.0L; 393 float y; 394 size_t i; 395 396 ATF_REQUIRE(signbit(x) != 0); 397 398 for (i = 0; i < __arraycount(exps); i++) { 399 y = ldexpf(x, exps[i]); 400 ATF_CHECK(x == y); 401 ATF_CHECK(signbit(y) != 0); 402 } 403} 404 405ATF_TC(ldexpf_zero_pos); 406ATF_TC_HEAD(ldexpf_zero_pos, tc) 407{ 408 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+0.0) == +0.0"); 409} 410 411ATF_TC_BODY(ldexpf_zero_pos, tc) 412{ 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} 425 426#define TEST(name, desc) \ 427 ATF_TC(name); \ 428 ATF_TC_HEAD(name, tc) \ 429 { \ 430 \ 431 atf_tc_set_md_var(tc, "descr", \ 432 "Test ldexp(3) for " ___STRING(desc)); \ 433 } \ 434 ATF_TC_BODY(name, tc) \ 435 { \ 436 if (strcmp("vax", MACHINE_ARCH) == 0) \ 437 atf_tc_skip("Test not valid for " MACHINE_ARCH); \ 438 run_test(name); \ 439 } 440 441TEST(ldexp_basic, basics) 442TEST(ldexp_zero, zero) 443TEST(ldexp_infinity, infinity) 444TEST(ldexp_overflow, overflow) 445TEST(ldexp_denormal, denormal) 446TEST(ldexp_denormal_large, large) 447TEST(ldexp_underflow, underflow) 448 449ATF_TP_ADD_TCS(tp) 450{ 451 452 ATF_TP_ADD_TC(tp, ldexp_basic); 453 ATF_TP_ADD_TC(tp, ldexp_zero); 454 ATF_TP_ADD_TC(tp, ldexp_infinity); 455 ATF_TP_ADD_TC(tp, ldexp_overflow); 456 ATF_TP_ADD_TC(tp, ldexp_denormal); 457 ATF_TP_ADD_TC(tp, ldexp_underflow); 458 ATF_TP_ADD_TC(tp, ldexp_denormal_large); 459 460 ATF_TP_ADD_TC(tp, ldexp_exp2); 461 ATF_TP_ADD_TC(tp, ldexp_nan); 462 ATF_TP_ADD_TC(tp, ldexp_inf_neg); 463 ATF_TP_ADD_TC(tp, ldexp_inf_pos); 464 ATF_TP_ADD_TC(tp, ldexp_zero_neg); 465 ATF_TP_ADD_TC(tp, ldexp_zero_pos); 466 467 ATF_TP_ADD_TC(tp, ldexpf_exp2f); 468 ATF_TP_ADD_TC(tp, ldexpf_nan); 469 ATF_TP_ADD_TC(tp, ldexpf_inf_neg); 470 ATF_TP_ADD_TC(tp, ldexpf_inf_pos); 471 ATF_TP_ADD_TC(tp, ldexpf_zero_neg); 472 ATF_TP_ADD_TC(tp, ldexpf_zero_pos); 473 474 return atf_no_error(); 475} 476