1 /* $NetBSD: t_exp.c,v 1.8 2014/10/07 16:53:44 gson 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 32 #include <atf-c.h> 33 #include <math.h> 34 #include "t_libm.h" 35 36 /* y = exp(x) */ 37 static const struct { 38 double x; 39 double y; 40 double e; 41 } exp_values[] = { 42 { -10, 0.4539992976248485e-4, 1e-4, }, 43 { -5, 0.6737946999085467e-2, 1e-2, }, 44 { -1, 0.3678794411714423, 1e-1, }, 45 { -0.1, 0.9048374180359595, 1e-1, }, 46 { 0, 1.0000000000000000, 1, }, 47 { 0.1, 1.1051709180756477, 1, }, 48 { 1, 2.7182818284590452, 1, }, 49 { 5, 148.41315910257660, 1e2, }, 50 { 10, 22026.465794806718, 1e4, }, 51 }; 52 53 /* 54 * exp2/exp2f(3) 55 */ 56 ATF_LIBM_TEST(exp2_is_nan, "Test exp2(x) == NaN") 57 { 58 #ifdef T_LIBM_NAN 59 T_LIBM_CHECK_NAN(0, exp2, T_LIBM_NAN); 60 T_LIBM_CHECK_NAN(0, exp2f, T_LIBM_NAN); 61 #else 62 atf_tc_skip("no NaN on this machine"); 63 #endif 64 } 65 66 ATF_LIBM_TEST(exp2_is_plus_zero, "Test exp2(x) == +0.0") 67 { 68 #ifdef T_LIBM_MINUS_INF 69 T_LIBM_CHECK_PLUS_ZERO(0, exp2, T_LIBM_MINUS_INF); 70 T_LIBM_CHECK_PLUS_ZERO(0, exp2f, T_LIBM_MINUS_INF); 71 #else 72 atf_tc_skip("no +/-Inf on this machine"); 73 #endif 74 } 75 76 ATF_LIBM_TEST(exp2_powers, "Test exp2(x) is correct for some integer x") 77 { 78 static const struct { 79 double x; 80 double d_y; 81 double f_y; 82 } v[] = { 83 { +0.0, 1.0, 1.0 }, 84 { -0.0, 1.0, 1.0 }, 85 { 1, 0x1p1, 0x1p1 }, 86 { 2, 0x1p2, 0x1p2 }, 87 { 100, 0x1p100, 0x1p100 }, 88 { 125, 0x1p125, 0x1p125 }, 89 { 126, 0x1p126, 0x1p126 }, 90 #if __DBL_MAX_EXP__ > 129 91 { 127, 0x1p127, 0x1p127 }, 92 #endif 93 #ifdef T_LIBM_PLUS_INF 94 { 128, 0x1p128, T_LIBM_PLUS_INF }, 95 { 129, 0x1p129, T_LIBM_PLUS_INF }, 96 { 1000, 0x1p1000, T_LIBM_PLUS_INF }, 97 { 1020, 0x1p1020, T_LIBM_PLUS_INF }, 98 { 1023, 0x1p1023, T_LIBM_PLUS_INF }, 99 { 1024, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF }, 100 { 1030, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF }, 101 { 1050, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF }, 102 { 2000, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF }, 103 { 16383, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF }, 104 { 16384, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF }, 105 { 16385, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF }, 106 #endif 107 { -1, 0x1p-1, 0x1p-1 }, 108 { -2, 0x1p-2, 0x1p-2 }, 109 { -100, 0x1p-100, 0x1p-100 }, 110 { -127, 0x1p-127, 0x1p-127 }, 111 { -128, 0x1p-128, 0x1p-128 }, 112 #if __LDBL_MIN_EXP__ < -129 113 { -300, 0x1p-300, 0.0}, 114 { -400, 0x1p-400, 0.0}, 115 {-1000, 0x1p-1000, 0.0}, 116 {-1022, 0x1p-1022, 0.0}, 117 /* These should be denormal numbers */ 118 {-1023, 0x1p-1023, 0.0}, 119 {-1024, 0x1p-1024, 0.0}, 120 {-1040, 0x1p-1040, 0.0}, 121 {-1060, 0x1p-1060, 0.0}, 122 /* This is the smallest result gcc will allow */ 123 {-1074, 0x1p-1074, 0.0}, 124 #endif 125 {-1075, 0x0, 0.0}, 126 {-1080, 0x0, 0.0}, 127 {-2000, 0x0, 0.0}, 128 {-16382, 0x0, 0.0}, 129 {-16383, 0x0, 0.0}, 130 {-16384, 0x0, 0.0}, 131 }; 132 unsigned int i; 133 134 #if defined(__FreeBSD__) && defined(__i386__) 135 atf_tc_expect_fail("a number of the assertions fail on i386"); 136 #endif 137 138 for (i = 0; i < __arraycount(v); i++) { 139 T_LIBM_CHECK(i, exp2, v[i].x, v[i].d_y, 0.0); 140 T_LIBM_CHECK(i, exp2f, v[i].x, v[i].f_y, 0.0); 141 } 142 } 143 144 ATF_LIBM_TEST(exp2_values, "Test exp2(x) is correct for some x") 145 { 146 static const struct { 147 double x; 148 double d_y; 149 float f_y; 150 double d_eps; 151 double f_eps; 152 } v[] = { 153 #if __DBL_MAX_EXP__ > 128 154 /* The largest double constant */ 155 { 0x1.fffffffffffffp9, 0x1.ffffffffffd3ap1023, 0.00, 156 0x1p969, 0.0 }, 157 /* The largest float constant */ 158 { 0x1.fffffep6, 0x1.ffff4ep+127, 0x1.ffff4ep+127, 6e30, 0.0 }, 159 #endif 160 #ifdef T_LIBM_PLUS_INF 161 { T_LIBM_PLUS_INF, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF, 0.0, 0.0 }, 162 #endif 163 164 /* The few values from the old tests */ 165 /* Results from i386/amd64, d_eps needed on i386 */ 166 /* f_y values calculated using py-mpmath */ 167 { 1.1, 0x1.125fbee250664p+1, 0x1.125fc0p+1, 0x1p-52, 0x1.8p-22 }, 168 { 2.2, 0x1.2611186bae675p+2, 0x1.26111ap+2, 0x1p-51, 0x1.8p-21 }, 169 { 3.3, 0x1.3b2c47bff8328p+3, 0x1.3b2c48p+3, 0x1p-50, 0x1.8p-20 }, 170 { 4.4, 0x1.51cb453b9536ep+4, 0x1.51cb46p+4, 0x1p-49, 0x1.8p-19 }, 171 { 5.5, 0x1.6a09e667f3bcdp+5, 0x1.6a09e6p+5, 0x1p-48, 0x1.8p-18 }, 172 { 6.6, 0x1.8406003b2ae5bp+6, 0x1.8405fep+6, 0x1p-47, 0x1.8p-17 }, 173 { 7.7, 0x1.9fdf8bcce533ep+7, 0x1.9fdf88p+7, 0x1p-46, 0x1.8p-16 }, 174 { 8.8, 0x1.bdb8cdadbe124p+8, 0x1.bdb8d2p+8, 0x1p-45, 0x1.8p-15 }, 175 }; 176 unsigned int i; 177 178 for (i = 0; i < __arraycount(v); i++) { 179 T_LIBM_CHECK(i, exp2, v[i].x, v[i].d_y, v[i].d_eps); 180 if (i > 1) 181 T_LIBM_CHECK(i, exp2f, v[i].x, v[i].f_y, v[i].f_eps); 182 } 183 } 184 185 186 /* 187 * exp(3) 188 */ 189 ATF_TC(exp_nan); 190 ATF_TC_HEAD(exp_nan, tc) 191 { 192 atf_tc_set_md_var(tc, "descr", "Test exp(NaN) == NaN"); 193 } 194 195 ATF_TC_BODY(exp_nan, tc) 196 { 197 const double x = 0.0L / 0.0L; 198 199 if (isnan(exp(x)) == 0) 200 atf_tc_fail_nonfatal("exp(NaN) != NaN"); 201 } 202 203 ATF_TC(exp_inf_neg); 204 ATF_TC_HEAD(exp_inf_neg, tc) 205 { 206 atf_tc_set_md_var(tc, "descr", "Test exp(-Inf) == +0.0"); 207 } 208 209 ATF_TC_BODY(exp_inf_neg, tc) 210 { 211 const double x = -1.0L / 0.0L; 212 double y = exp(x); 213 214 if (fabs(y) > 0.0 || signbit(y) != 0) 215 atf_tc_fail_nonfatal("exp(-Inf) != +0.0"); 216 } 217 218 ATF_TC(exp_inf_pos); 219 ATF_TC_HEAD(exp_inf_pos, tc) 220 { 221 atf_tc_set_md_var(tc, "descr", "Test exp(+Inf) == +Inf"); 222 } 223 224 ATF_TC_BODY(exp_inf_pos, tc) 225 { 226 const double x = 1.0L / 0.0L; 227 double y = exp(x); 228 229 if (isinf(y) == 0 || signbit(y) != 0) 230 atf_tc_fail_nonfatal("exp(+Inf) != +Inf"); 231 } 232 233 ATF_TC(exp_product); 234 ATF_TC_HEAD(exp_product, tc) 235 { 236 atf_tc_set_md_var(tc, "descr", "Test some selected exp(x)"); 237 } 238 239 ATF_TC_BODY(exp_product, tc) 240 { 241 double eps; 242 double x; 243 double y; 244 size_t i; 245 246 for (i = 0; i < __arraycount(exp_values); i++) { 247 x = exp_values[i].x; 248 y = exp_values[i].y; 249 eps = 1e-15 * exp_values[i].e; 250 251 if (fabs(exp(x) - y) > eps) 252 atf_tc_fail_nonfatal("exp(%0.01f) != %18.18e", x, y); 253 } 254 } 255 256 ATF_TC(exp_zero_neg); 257 ATF_TC_HEAD(exp_zero_neg, tc) 258 { 259 atf_tc_set_md_var(tc, "descr", "Test exp(-0.0) == 1.0"); 260 } 261 262 ATF_TC_BODY(exp_zero_neg, tc) 263 { 264 const double x = -0.0L; 265 266 if (fabs(exp(x) - 1.0) > 0.0) 267 atf_tc_fail_nonfatal("exp(-0.0) != 1.0"); 268 } 269 270 ATF_TC(exp_zero_pos); 271 ATF_TC_HEAD(exp_zero_pos, tc) 272 { 273 atf_tc_set_md_var(tc, "descr", "Test exp(+0.0) == 1.0"); 274 } 275 276 ATF_TC_BODY(exp_zero_pos, tc) 277 { 278 const double x = 0.0L; 279 280 if (fabs(exp(x) - 1.0) > 0.0) 281 atf_tc_fail_nonfatal("exp(+0.0) != 1.0"); 282 } 283 284 /* 285 * expf(3) 286 */ 287 ATF_TC(expf_nan); 288 ATF_TC_HEAD(expf_nan, tc) 289 { 290 atf_tc_set_md_var(tc, "descr", "Test expf(NaN) == NaN"); 291 } 292 293 ATF_TC_BODY(expf_nan, tc) 294 { 295 const float x = 0.0L / 0.0L; 296 297 if (isnan(expf(x)) == 0) 298 atf_tc_fail_nonfatal("expf(NaN) != NaN"); 299 } 300 301 ATF_TC(expf_inf_neg); 302 ATF_TC_HEAD(expf_inf_neg, tc) 303 { 304 atf_tc_set_md_var(tc, "descr", "Test expf(-Inf) == +0.0"); 305 } 306 307 ATF_TC_BODY(expf_inf_neg, tc) 308 { 309 const float x = -1.0L / 0.0L; 310 float y = expf(x); 311 312 if (fabsf(y) > 0.0 || signbit(y) != 0) 313 atf_tc_fail_nonfatal("expf(-Inf) != +0.0"); 314 } 315 316 ATF_TC(expf_inf_pos); 317 ATF_TC_HEAD(expf_inf_pos, tc) 318 { 319 atf_tc_set_md_var(tc, "descr", "Test expf(+Inf) == +Inf"); 320 } 321 322 ATF_TC_BODY(expf_inf_pos, tc) 323 { 324 const float x = 1.0L / 0.0L; 325 float y = expf(x); 326 327 if (isinf(y) == 0 || signbit(y) != 0) 328 atf_tc_fail_nonfatal("expf(+Inf) != +Inf"); 329 } 330 331 ATF_TC(expf_product); 332 ATF_TC_HEAD(expf_product, tc) 333 { 334 atf_tc_set_md_var(tc, "descr", "Test some selected expf(x)"); 335 } 336 337 ATF_TC_BODY(expf_product, tc) 338 { 339 float eps; 340 float x; 341 float y; 342 size_t i; 343 344 for (i = 0; i < __arraycount(exp_values); i++) { 345 x = exp_values[i].x; 346 y = exp_values[i].y; 347 eps = 1e-6 * exp_values[i].e; 348 349 if (fabsf(expf(x) - y) > eps) 350 atf_tc_fail_nonfatal("expf(%0.01f) != %18.18e", x, y); 351 } 352 } 353 354 ATF_TC(expf_zero_neg); 355 ATF_TC_HEAD(expf_zero_neg, tc) 356 { 357 atf_tc_set_md_var(tc, "descr", "Test expf(-0.0) == 1.0"); 358 } 359 360 ATF_TC_BODY(expf_zero_neg, tc) 361 { 362 const float x = -0.0L; 363 364 if (fabsf(expf(x) - 1.0f) > 0.0) 365 atf_tc_fail_nonfatal("expf(-0.0) != 1.0"); 366 } 367 368 ATF_TC(expf_zero_pos); 369 ATF_TC_HEAD(expf_zero_pos, tc) 370 { 371 atf_tc_set_md_var(tc, "descr", "Test expf(+0.0) == 1.0"); 372 } 373 374 ATF_TC_BODY(expf_zero_pos, tc) 375 { 376 const float x = 0.0L; 377 378 if (fabsf(expf(x) - 1.0f) > 0.0) 379 atf_tc_fail_nonfatal("expf(+0.0) != 1.0"); 380 } 381 382 /* 383 * expm1(3) 384 */ 385 ATF_TC(expm1_nan); 386 ATF_TC_HEAD(expm1_nan, tc) 387 { 388 atf_tc_set_md_var(tc, "descr", "Test expm1(NaN) == NaN"); 389 } 390 391 ATF_TC_BODY(expm1_nan, tc) 392 { 393 const double x = 0.0L / 0.0L; 394 395 if (isnan(expm1(x)) == 0) 396 atf_tc_fail_nonfatal("expm1(NaN) != NaN"); 397 } 398 399 ATF_TC(expm1_inf_neg); 400 ATF_TC_HEAD(expm1_inf_neg, tc) 401 { 402 atf_tc_set_md_var(tc, "descr", "Test expm1(-Inf) == -1"); 403 } 404 405 ATF_TC_BODY(expm1_inf_neg, tc) 406 { 407 const double x = -1.0L / 0.0L; 408 409 if (expm1(x) != -1.0) 410 atf_tc_fail_nonfatal("expm1(-Inf) != -1.0"); 411 } 412 413 ATF_TC(expm1_inf_pos); 414 ATF_TC_HEAD(expm1_inf_pos, tc) 415 { 416 atf_tc_set_md_var(tc, "descr", "Test expm1(+Inf) == +Inf"); 417 } 418 419 ATF_TC_BODY(expm1_inf_pos, tc) 420 { 421 const double x = 1.0L / 0.0L; 422 double y = expm1(x); 423 424 if (isinf(y) == 0 || signbit(y) != 0) 425 atf_tc_fail_nonfatal("expm1(+Inf) != +Inf"); 426 } 427 428 ATF_TC(expm1_zero_neg); 429 ATF_TC_HEAD(expm1_zero_neg, tc) 430 { 431 atf_tc_set_md_var(tc, "descr", "Test expm1(-0.0) == -0.0"); 432 } 433 434 ATF_TC_BODY(expm1_zero_neg, tc) 435 { 436 const double x = -0.0L; 437 double y = expm1(x); 438 439 if (fabs(y) > 0.0 || signbit(y) == 0) 440 atf_tc_fail_nonfatal("expm1(-0.0) != -0.0"); 441 } 442 443 ATF_TC(expm1_zero_pos); 444 ATF_TC_HEAD(expm1_zero_pos, tc) 445 { 446 atf_tc_set_md_var(tc, "descr", "Test expm1(+0.0) == 1.0"); 447 } 448 449 ATF_TC_BODY(expm1_zero_pos, tc) 450 { 451 const double x = 0.0L; 452 double y = expm1(x); 453 454 if (fabs(y) > 0.0 || signbit(y) != 0) 455 atf_tc_fail_nonfatal("expm1(+0.0) != +0.0"); 456 } 457 458 /* 459 * expm1f(3) 460 */ 461 ATF_TC(expm1f_nan); 462 ATF_TC_HEAD(expm1f_nan, tc) 463 { 464 atf_tc_set_md_var(tc, "descr", "Test expm1f(NaN) == NaN"); 465 } 466 467 ATF_TC_BODY(expm1f_nan, tc) 468 { 469 const float x = 0.0L / 0.0L; 470 471 if (isnan(expm1f(x)) == 0) 472 atf_tc_fail_nonfatal("expm1f(NaN) != NaN"); 473 } 474 475 ATF_TC(expm1f_inf_neg); 476 ATF_TC_HEAD(expm1f_inf_neg, tc) 477 { 478 atf_tc_set_md_var(tc, "descr", "Test expm1f(-Inf) == -1"); 479 } 480 481 ATF_TC_BODY(expm1f_inf_neg, tc) 482 { 483 const float x = -1.0L / 0.0L; 484 485 if (expm1f(x) != -1.0) 486 atf_tc_fail_nonfatal("expm1f(-Inf) != -1.0"); 487 } 488 489 ATF_TC(expm1f_inf_pos); 490 ATF_TC_HEAD(expm1f_inf_pos, tc) 491 { 492 atf_tc_set_md_var(tc, "descr", "Test expm1f(+Inf) == +Inf"); 493 } 494 495 ATF_TC_BODY(expm1f_inf_pos, tc) 496 { 497 const float x = 1.0L / 0.0L; 498 float y = expm1f(x); 499 500 if (isinf(y) == 0 || signbit(y) != 0) 501 atf_tc_fail_nonfatal("expm1f(+Inf) != +Inf"); 502 } 503 504 ATF_TC(expm1f_zero_neg); 505 ATF_TC_HEAD(expm1f_zero_neg, tc) 506 { 507 atf_tc_set_md_var(tc, "descr", "Test expm1f(-0.0) == -0.0"); 508 } 509 510 ATF_TC_BODY(expm1f_zero_neg, tc) 511 { 512 const float x = -0.0L; 513 float y = expm1f(x); 514 515 if (fabsf(y) > 0.0 || signbit(y) == 0) 516 atf_tc_fail_nonfatal("expm1f(-0.0) != -0.0"); 517 } 518 519 ATF_TC(expm1f_zero_pos); 520 ATF_TC_HEAD(expm1f_zero_pos, tc) 521 { 522 atf_tc_set_md_var(tc, "descr", "Test expm1f(+0.0) == 1.0"); 523 } 524 525 ATF_TC_BODY(expm1f_zero_pos, tc) 526 { 527 const float x = 0.0L; 528 float y = expm1f(x); 529 530 if (fabsf(y) > 0.0 || signbit(y) != 0) 531 atf_tc_fail_nonfatal("expm1f(+0.0) != +0.0"); 532 } 533 534 ATF_TP_ADD_TCS(tp) 535 { 536 537 ATF_TP_ADD_TC(tp, exp2_is_nan); 538 ATF_TP_ADD_TC(tp, exp2_is_plus_zero); 539 ATF_TP_ADD_TC(tp, exp2_values); 540 ATF_TP_ADD_TC(tp, exp2_powers); 541 542 ATF_TP_ADD_TC(tp, exp_nan); 543 ATF_TP_ADD_TC(tp, exp_inf_neg); 544 ATF_TP_ADD_TC(tp, exp_inf_pos); 545 ATF_TP_ADD_TC(tp, exp_product); 546 ATF_TP_ADD_TC(tp, exp_zero_neg); 547 ATF_TP_ADD_TC(tp, exp_zero_pos); 548 549 ATF_TP_ADD_TC(tp, expf_nan); 550 ATF_TP_ADD_TC(tp, expf_inf_neg); 551 ATF_TP_ADD_TC(tp, expf_inf_pos); 552 ATF_TP_ADD_TC(tp, expf_product); 553 ATF_TP_ADD_TC(tp, expf_zero_neg); 554 ATF_TP_ADD_TC(tp, expf_zero_pos); 555 556 ATF_TP_ADD_TC(tp, expm1_nan); 557 ATF_TP_ADD_TC(tp, expm1_inf_neg); 558 ATF_TP_ADD_TC(tp, expm1_inf_pos); 559 ATF_TP_ADD_TC(tp, expm1_zero_neg); 560 ATF_TP_ADD_TC(tp, expm1_zero_pos); 561 562 ATF_TP_ADD_TC(tp, expm1f_nan); 563 ATF_TP_ADD_TC(tp, expm1f_inf_neg); 564 ATF_TP_ADD_TC(tp, expm1f_inf_pos); 565 ATF_TP_ADD_TC(tp, expm1f_zero_neg); 566 ATF_TP_ADD_TC(tp, expm1f_zero_pos); 567 568 return atf_no_error(); 569 } 570