1 /* $NetBSD: t_exp.c,v 1.9 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 32 #include <atf-c.h> 33 #include <float.h> 34 #include <math.h> 35 #include "t_libm.h" 36 37 /* y = exp(x) */ 38 static const struct { 39 double x; 40 double y; 41 } exp_values[] = { 42 { -10, 0.4539992976248485e-4, }, 43 { -5, 0.6737946999085467e-2, }, 44 { -1, 0.3678794411714423, }, 45 { -0.1, 0.9048374180359595, }, 46 { 0, 1.0000000000000000, }, 47 { 0.1, 1.1051709180756477, }, 48 { 1, 2.7182818284590452, }, 49 { 5, 148.41315910257660, }, 50 { 10, 22026.465794806718, }, 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 const double eps = DBL_EPSILON; 242 size_t i; 243 244 for (i = 0; i < __arraycount(exp_values); i++) { 245 double x = exp_values[i].x; 246 double e_x = exp_values[i].y; 247 248 if (!(fabs((exp(x) - e_x)/e_x) <= eps)) { 249 atf_tc_fail_nonfatal("exp(%.17g) = %.17g != %.17g", 250 x, exp(x), e_x); 251 } 252 } 253 } 254 255 ATF_TC(exp_zero_neg); 256 ATF_TC_HEAD(exp_zero_neg, tc) 257 { 258 atf_tc_set_md_var(tc, "descr", "Test exp(-0.0) == 1.0"); 259 } 260 261 ATF_TC_BODY(exp_zero_neg, tc) 262 { 263 const double x = -0.0L; 264 265 if (fabs(exp(x) - 1.0) > 0.0) 266 atf_tc_fail_nonfatal("exp(-0.0) != 1.0"); 267 } 268 269 ATF_TC(exp_zero_pos); 270 ATF_TC_HEAD(exp_zero_pos, tc) 271 { 272 atf_tc_set_md_var(tc, "descr", "Test exp(+0.0) == 1.0"); 273 } 274 275 ATF_TC_BODY(exp_zero_pos, tc) 276 { 277 const double x = 0.0L; 278 279 if (fabs(exp(x) - 1.0) > 0.0) 280 atf_tc_fail_nonfatal("exp(+0.0) != 1.0"); 281 } 282 283 /* 284 * expf(3) 285 */ 286 ATF_TC(expf_nan); 287 ATF_TC_HEAD(expf_nan, tc) 288 { 289 atf_tc_set_md_var(tc, "descr", "Test expf(NaN) == NaN"); 290 } 291 292 ATF_TC_BODY(expf_nan, tc) 293 { 294 const float x = 0.0L / 0.0L; 295 296 if (isnan(expf(x)) == 0) 297 atf_tc_fail_nonfatal("expf(NaN) != NaN"); 298 } 299 300 ATF_TC(expf_inf_neg); 301 ATF_TC_HEAD(expf_inf_neg, tc) 302 { 303 atf_tc_set_md_var(tc, "descr", "Test expf(-Inf) == +0.0"); 304 } 305 306 ATF_TC_BODY(expf_inf_neg, tc) 307 { 308 const float x = -1.0L / 0.0L; 309 float y = expf(x); 310 311 if (fabsf(y) > 0.0 || signbit(y) != 0) 312 atf_tc_fail_nonfatal("expf(-Inf) != +0.0"); 313 } 314 315 ATF_TC(expf_inf_pos); 316 ATF_TC_HEAD(expf_inf_pos, tc) 317 { 318 atf_tc_set_md_var(tc, "descr", "Test expf(+Inf) == +Inf"); 319 } 320 321 ATF_TC_BODY(expf_inf_pos, tc) 322 { 323 const float x = 1.0L / 0.0L; 324 float y = expf(x); 325 326 if (isinf(y) == 0 || signbit(y) != 0) 327 atf_tc_fail_nonfatal("expf(+Inf) != +Inf"); 328 } 329 330 ATF_TC(expf_product); 331 ATF_TC_HEAD(expf_product, tc) 332 { 333 atf_tc_set_md_var(tc, "descr", "Test some selected expf(x)"); 334 } 335 336 ATF_TC_BODY(expf_product, tc) 337 { 338 const float eps = FLT_EPSILON; 339 size_t i; 340 341 for (i = 0; i < __arraycount(exp_values); i++) { 342 float x = exp_values[i].x; 343 float e_x = exp_values[i].y; 344 345 if (!(fabsf((expf(x) - e_x)/e_x) <= eps)) { 346 atf_tc_fail_nonfatal("expf(%.8g) = %.8g != %.8g", 347 x, exp(x), e_x); 348 } 349 } 350 } 351 352 ATF_TC(expf_zero_neg); 353 ATF_TC_HEAD(expf_zero_neg, tc) 354 { 355 atf_tc_set_md_var(tc, "descr", "Test expf(-0.0) == 1.0"); 356 } 357 358 ATF_TC_BODY(expf_zero_neg, tc) 359 { 360 const float x = -0.0L; 361 362 if (fabsf(expf(x) - 1.0f) > 0.0) 363 atf_tc_fail_nonfatal("expf(-0.0) != 1.0"); 364 } 365 366 ATF_TC(expf_zero_pos); 367 ATF_TC_HEAD(expf_zero_pos, tc) 368 { 369 atf_tc_set_md_var(tc, "descr", "Test expf(+0.0) == 1.0"); 370 } 371 372 ATF_TC_BODY(expf_zero_pos, tc) 373 { 374 const float x = 0.0L; 375 376 if (fabsf(expf(x) - 1.0f) > 0.0) 377 atf_tc_fail_nonfatal("expf(+0.0) != 1.0"); 378 } 379 380 /* 381 * expm1(3) 382 */ 383 ATF_TC(expm1_nan); 384 ATF_TC_HEAD(expm1_nan, tc) 385 { 386 atf_tc_set_md_var(tc, "descr", "Test expm1(NaN) == NaN"); 387 } 388 389 ATF_TC_BODY(expm1_nan, tc) 390 { 391 const double x = 0.0L / 0.0L; 392 393 if (isnan(expm1(x)) == 0) 394 atf_tc_fail_nonfatal("expm1(NaN) != NaN"); 395 } 396 397 ATF_TC(expm1_inf_neg); 398 ATF_TC_HEAD(expm1_inf_neg, tc) 399 { 400 atf_tc_set_md_var(tc, "descr", "Test expm1(-Inf) == -1"); 401 } 402 403 ATF_TC_BODY(expm1_inf_neg, tc) 404 { 405 const double x = -1.0L / 0.0L; 406 407 if (expm1(x) != -1.0) 408 atf_tc_fail_nonfatal("expm1(-Inf) != -1.0"); 409 } 410 411 ATF_TC(expm1_inf_pos); 412 ATF_TC_HEAD(expm1_inf_pos, tc) 413 { 414 atf_tc_set_md_var(tc, "descr", "Test expm1(+Inf) == +Inf"); 415 } 416 417 ATF_TC_BODY(expm1_inf_pos, tc) 418 { 419 const double x = 1.0L / 0.0L; 420 double y = expm1(x); 421 422 if (isinf(y) == 0 || signbit(y) != 0) 423 atf_tc_fail_nonfatal("expm1(+Inf) != +Inf"); 424 } 425 426 ATF_TC(expm1_zero_neg); 427 ATF_TC_HEAD(expm1_zero_neg, tc) 428 { 429 atf_tc_set_md_var(tc, "descr", "Test expm1(-0.0) == -0.0"); 430 } 431 432 ATF_TC_BODY(expm1_zero_neg, tc) 433 { 434 const double x = -0.0L; 435 double y = expm1(x); 436 437 if (fabs(y) > 0.0 || signbit(y) == 0) 438 atf_tc_fail_nonfatal("expm1(-0.0) != -0.0"); 439 } 440 441 ATF_TC(expm1_zero_pos); 442 ATF_TC_HEAD(expm1_zero_pos, tc) 443 { 444 atf_tc_set_md_var(tc, "descr", "Test expm1(+0.0) == 1.0"); 445 } 446 447 ATF_TC_BODY(expm1_zero_pos, tc) 448 { 449 const double x = 0.0L; 450 double y = expm1(x); 451 452 if (fabs(y) > 0.0 || signbit(y) != 0) 453 atf_tc_fail_nonfatal("expm1(+0.0) != +0.0"); 454 } 455 456 /* 457 * expm1f(3) 458 */ 459 ATF_TC(expm1f_nan); 460 ATF_TC_HEAD(expm1f_nan, tc) 461 { 462 atf_tc_set_md_var(tc, "descr", "Test expm1f(NaN) == NaN"); 463 } 464 465 ATF_TC_BODY(expm1f_nan, tc) 466 { 467 const float x = 0.0L / 0.0L; 468 469 if (isnan(expm1f(x)) == 0) 470 atf_tc_fail_nonfatal("expm1f(NaN) != NaN"); 471 } 472 473 ATF_TC(expm1f_inf_neg); 474 ATF_TC_HEAD(expm1f_inf_neg, tc) 475 { 476 atf_tc_set_md_var(tc, "descr", "Test expm1f(-Inf) == -1"); 477 } 478 479 ATF_TC_BODY(expm1f_inf_neg, tc) 480 { 481 const float x = -1.0L / 0.0L; 482 483 if (expm1f(x) != -1.0) 484 atf_tc_fail_nonfatal("expm1f(-Inf) != -1.0"); 485 } 486 487 ATF_TC(expm1f_inf_pos); 488 ATF_TC_HEAD(expm1f_inf_pos, tc) 489 { 490 atf_tc_set_md_var(tc, "descr", "Test expm1f(+Inf) == +Inf"); 491 } 492 493 ATF_TC_BODY(expm1f_inf_pos, tc) 494 { 495 const float x = 1.0L / 0.0L; 496 float y = expm1f(x); 497 498 if (isinf(y) == 0 || signbit(y) != 0) 499 atf_tc_fail_nonfatal("expm1f(+Inf) != +Inf"); 500 } 501 502 ATF_TC(expm1f_zero_neg); 503 ATF_TC_HEAD(expm1f_zero_neg, tc) 504 { 505 atf_tc_set_md_var(tc, "descr", "Test expm1f(-0.0) == -0.0"); 506 } 507 508 ATF_TC_BODY(expm1f_zero_neg, tc) 509 { 510 const float x = -0.0L; 511 float y = expm1f(x); 512 513 if (fabsf(y) > 0.0 || signbit(y) == 0) 514 atf_tc_fail_nonfatal("expm1f(-0.0) != -0.0"); 515 } 516 517 ATF_TC(expm1f_zero_pos); 518 ATF_TC_HEAD(expm1f_zero_pos, tc) 519 { 520 atf_tc_set_md_var(tc, "descr", "Test expm1f(+0.0) == 1.0"); 521 } 522 523 ATF_TC_BODY(expm1f_zero_pos, tc) 524 { 525 const float x = 0.0L; 526 float y = expm1f(x); 527 528 if (fabsf(y) > 0.0 || signbit(y) != 0) 529 atf_tc_fail_nonfatal("expm1f(+0.0) != +0.0"); 530 } 531 532 ATF_TP_ADD_TCS(tp) 533 { 534 535 ATF_TP_ADD_TC(tp, exp2_is_nan); 536 ATF_TP_ADD_TC(tp, exp2_is_plus_zero); 537 ATF_TP_ADD_TC(tp, exp2_values); 538 ATF_TP_ADD_TC(tp, exp2_powers); 539 540 ATF_TP_ADD_TC(tp, exp_nan); 541 ATF_TP_ADD_TC(tp, exp_inf_neg); 542 ATF_TP_ADD_TC(tp, exp_inf_pos); 543 ATF_TP_ADD_TC(tp, exp_product); 544 ATF_TP_ADD_TC(tp, exp_zero_neg); 545 ATF_TP_ADD_TC(tp, exp_zero_pos); 546 547 ATF_TP_ADD_TC(tp, expf_nan); 548 ATF_TP_ADD_TC(tp, expf_inf_neg); 549 ATF_TP_ADD_TC(tp, expf_inf_pos); 550 ATF_TP_ADD_TC(tp, expf_product); 551 ATF_TP_ADD_TC(tp, expf_zero_neg); 552 ATF_TP_ADD_TC(tp, expf_zero_pos); 553 554 ATF_TP_ADD_TC(tp, expm1_nan); 555 ATF_TP_ADD_TC(tp, expm1_inf_neg); 556 ATF_TP_ADD_TC(tp, expm1_inf_pos); 557 ATF_TP_ADD_TC(tp, expm1_zero_neg); 558 ATF_TP_ADD_TC(tp, expm1_zero_pos); 559 560 ATF_TP_ADD_TC(tp, expm1f_nan); 561 ATF_TP_ADD_TC(tp, expm1f_inf_neg); 562 ATF_TP_ADD_TC(tp, expm1f_inf_pos); 563 ATF_TP_ADD_TC(tp, expm1f_zero_neg); 564 ATF_TP_ADD_TC(tp, expm1f_zero_pos); 565 566 return atf_no_error(); 567 } 568