t_exp.c revision 272458
1/* $NetBSD: t_exp.c,v 1.7 2014/03/17 11:08:11 martin 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) */ 37static 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 */ 56ATF_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 66ATF_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 76ATF_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 for (i = 0; i < __arraycount(v); i++) { 135 T_LIBM_CHECK(i, exp2, v[i].x, v[i].d_y, 0.0); 136 T_LIBM_CHECK(i, exp2f, v[i].x, v[i].f_y, 0.0); 137 } 138} 139 140ATF_LIBM_TEST(exp2_values, "Test exp2(x) is correct for some x") 141{ 142 static const struct { 143 double x; 144 double y; 145 double d_eps; 146 double f_eps; 147 } v[] = { 148#if __DBL_MAX_EXP__ > 128 149 /* The largest double constant */ 150 { 0x1.fffffffffffffp9, 0x1.ffffffffffd3ap1023, 151 0x1p969, 0.0 }, 152 /* The largest float constant */ 153 { 0x1.fffffep6, 0x1.ffff4ep+127, 6e30, 0.0 }, 154#endif 155#ifdef T_LIBM_PLUS_INF 156 { T_LIBM_PLUS_INF, T_LIBM_PLUS_INF, 0.0, 0.0 }, 157#endif 158 159 /* The few values from the old tests */ 160 /* Results from i386/amd64, d_eps needed on i386 */ 161 { 1.1, 0x1.125fbee250664p+1, 0x1p-52, 0x1.8p-22 }, 162 { 2.2, 0x1.2611186bae675p+2, 0x1p-51, 0x1.8p-21 }, 163 { 3.3, 0x1.3b2c47bff8328p+3, 0x1p-50, 0x1.8p-20 }, 164 { 4.4, 0x1.51cb453b9536ep+4, 0x1p-49, 0x1.8p-19 }, 165 { 5.5, 0x1.6a09e667f3bcdp+5, 0x1p-48, 0x1.8p-18 }, 166 { 6.6, 0x1.8406003b2ae5bp+6, 0x1p-47, 0x1.8p-17 }, 167 /* 168 * These two currently fail for 'float'. 169 * 8.8 is definitely out by more than it should be. 170 */ 171 { 7.7, 0x1.9fdf8bcce533ep+7, 0x1p-46, 0x1.8p-16 }, 172 { 8.8, 0x1.bdb8cdadbe124p+8, 0x1p-45, 0x1.8p-15 }, 173 }; 174 unsigned int i; 175 176 for (i = 0; i < __arraycount(v); i++) { 177 T_LIBM_CHECK(i, exp2, v[i].x, v[i].y, v[i].d_eps); 178 if (i > 1) 179 T_LIBM_CHECK(i, exp2f, v[i].x, v[i].y, v[i].f_eps); 180 } 181} 182 183 184/* 185 * exp(3) 186 */ 187ATF_TC(exp_nan); 188ATF_TC_HEAD(exp_nan, tc) 189{ 190 atf_tc_set_md_var(tc, "descr", "Test exp(NaN) == NaN"); 191} 192 193ATF_TC_BODY(exp_nan, tc) 194{ 195 const double x = 0.0L / 0.0L; 196 197 if (isnan(exp(x)) == 0) 198 atf_tc_fail_nonfatal("exp(NaN) != NaN"); 199} 200 201ATF_TC(exp_inf_neg); 202ATF_TC_HEAD(exp_inf_neg, tc) 203{ 204 atf_tc_set_md_var(tc, "descr", "Test exp(-Inf) == +0.0"); 205} 206 207ATF_TC_BODY(exp_inf_neg, tc) 208{ 209 const double x = -1.0L / 0.0L; 210 double y = exp(x); 211 212 if (fabs(y) > 0.0 || signbit(y) != 0) 213 atf_tc_fail_nonfatal("exp(-Inf) != +0.0"); 214} 215 216ATF_TC(exp_inf_pos); 217ATF_TC_HEAD(exp_inf_pos, tc) 218{ 219 atf_tc_set_md_var(tc, "descr", "Test exp(+Inf) == +Inf"); 220} 221 222ATF_TC_BODY(exp_inf_pos, tc) 223{ 224 const double x = 1.0L / 0.0L; 225 double y = exp(x); 226 227 if (isinf(y) == 0 || signbit(y) != 0) 228 atf_tc_fail_nonfatal("exp(+Inf) != +Inf"); 229} 230 231ATF_TC(exp_product); 232ATF_TC_HEAD(exp_product, tc) 233{ 234 atf_tc_set_md_var(tc, "descr", "Test some selected exp(x)"); 235} 236 237ATF_TC_BODY(exp_product, tc) 238{ 239 double eps; 240 double x; 241 double y; 242 size_t i; 243 244 for (i = 0; i < __arraycount(exp_values); i++) { 245 x = exp_values[i].x; 246 y = exp_values[i].y; 247 eps = 1e-15 * exp_values[i].e; 248 249 if (fabs(exp(x) - y) > eps) 250 atf_tc_fail_nonfatal("exp(%0.01f) != %18.18e", x, y); 251 } 252} 253 254ATF_TC(exp_zero_neg); 255ATF_TC_HEAD(exp_zero_neg, tc) 256{ 257 atf_tc_set_md_var(tc, "descr", "Test exp(-0.0) == 1.0"); 258} 259 260ATF_TC_BODY(exp_zero_neg, tc) 261{ 262 const double x = -0.0L; 263 264 if (fabs(exp(x) - 1.0) > 0.0) 265 atf_tc_fail_nonfatal("exp(-0.0) != 1.0"); 266} 267 268ATF_TC(exp_zero_pos); 269ATF_TC_HEAD(exp_zero_pos, tc) 270{ 271 atf_tc_set_md_var(tc, "descr", "Test exp(+0.0) == 1.0"); 272} 273 274ATF_TC_BODY(exp_zero_pos, tc) 275{ 276 const double x = 0.0L; 277 278 if (fabs(exp(x) - 1.0) > 0.0) 279 atf_tc_fail_nonfatal("exp(+0.0) != 1.0"); 280} 281 282/* 283 * expf(3) 284 */ 285ATF_TC(expf_nan); 286ATF_TC_HEAD(expf_nan, tc) 287{ 288 atf_tc_set_md_var(tc, "descr", "Test expf(NaN) == NaN"); 289} 290 291ATF_TC_BODY(expf_nan, tc) 292{ 293 const float x = 0.0L / 0.0L; 294 295 if (isnan(expf(x)) == 0) 296 atf_tc_fail_nonfatal("expf(NaN) != NaN"); 297} 298 299ATF_TC(expf_inf_neg); 300ATF_TC_HEAD(expf_inf_neg, tc) 301{ 302 atf_tc_set_md_var(tc, "descr", "Test expf(-Inf) == +0.0"); 303} 304 305ATF_TC_BODY(expf_inf_neg, tc) 306{ 307 const float x = -1.0L / 0.0L; 308 float y = expf(x); 309 310 if (fabsf(y) > 0.0 || signbit(y) != 0) 311 atf_tc_fail_nonfatal("expf(-Inf) != +0.0"); 312} 313 314ATF_TC(expf_inf_pos); 315ATF_TC_HEAD(expf_inf_pos, tc) 316{ 317 atf_tc_set_md_var(tc, "descr", "Test expf(+Inf) == +Inf"); 318} 319 320ATF_TC_BODY(expf_inf_pos, tc) 321{ 322 const float x = 1.0L / 0.0L; 323 float y = expf(x); 324 325 if (isinf(y) == 0 || signbit(y) != 0) 326 atf_tc_fail_nonfatal("expf(+Inf) != +Inf"); 327} 328 329ATF_TC(expf_product); 330ATF_TC_HEAD(expf_product, tc) 331{ 332 atf_tc_set_md_var(tc, "descr", "Test some selected expf(x)"); 333} 334 335ATF_TC_BODY(expf_product, tc) 336{ 337 float eps; 338 float x; 339 float y; 340 size_t i; 341 342 for (i = 0; i < __arraycount(exp_values); i++) { 343 x = exp_values[i].x; 344 y = exp_values[i].y; 345 eps = 1e-6 * exp_values[i].e; 346 347 if (fabsf(expf(x) - y) > eps) 348 atf_tc_fail_nonfatal("expf(%0.01f) != %18.18e", x, y); 349 } 350} 351 352ATF_TC(expf_zero_neg); 353ATF_TC_HEAD(expf_zero_neg, tc) 354{ 355 atf_tc_set_md_var(tc, "descr", "Test expf(-0.0) == 1.0"); 356} 357 358ATF_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 366ATF_TC(expf_zero_pos); 367ATF_TC_HEAD(expf_zero_pos, tc) 368{ 369 atf_tc_set_md_var(tc, "descr", "Test expf(+0.0) == 1.0"); 370} 371 372ATF_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 */ 383ATF_TC(expm1_nan); 384ATF_TC_HEAD(expm1_nan, tc) 385{ 386 atf_tc_set_md_var(tc, "descr", "Test expm1(NaN) == NaN"); 387} 388 389ATF_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 397ATF_TC(expm1_inf_neg); 398ATF_TC_HEAD(expm1_inf_neg, tc) 399{ 400 atf_tc_set_md_var(tc, "descr", "Test expm1(-Inf) == -1"); 401} 402 403ATF_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 411ATF_TC(expm1_inf_pos); 412ATF_TC_HEAD(expm1_inf_pos, tc) 413{ 414 atf_tc_set_md_var(tc, "descr", "Test expm1(+Inf) == +Inf"); 415} 416 417ATF_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 426ATF_TC(expm1_zero_neg); 427ATF_TC_HEAD(expm1_zero_neg, tc) 428{ 429 atf_tc_set_md_var(tc, "descr", "Test expm1(-0.0) == -0.0"); 430} 431 432ATF_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 441ATF_TC(expm1_zero_pos); 442ATF_TC_HEAD(expm1_zero_pos, tc) 443{ 444 atf_tc_set_md_var(tc, "descr", "Test expm1(+0.0) == 1.0"); 445} 446 447ATF_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 */ 459ATF_TC(expm1f_nan); 460ATF_TC_HEAD(expm1f_nan, tc) 461{ 462 atf_tc_set_md_var(tc, "descr", "Test expm1f(NaN) == NaN"); 463} 464 465ATF_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 473ATF_TC(expm1f_inf_neg); 474ATF_TC_HEAD(expm1f_inf_neg, tc) 475{ 476 atf_tc_set_md_var(tc, "descr", "Test expm1f(-Inf) == -1"); 477} 478 479ATF_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 487ATF_TC(expm1f_inf_pos); 488ATF_TC_HEAD(expm1f_inf_pos, tc) 489{ 490 atf_tc_set_md_var(tc, "descr", "Test expm1f(+Inf) == +Inf"); 491} 492 493ATF_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 502ATF_TC(expm1f_zero_neg); 503ATF_TC_HEAD(expm1f_zero_neg, tc) 504{ 505 atf_tc_set_md_var(tc, "descr", "Test expm1f(-0.0) == -0.0"); 506} 507 508ATF_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 517ATF_TC(expm1f_zero_pos); 518ATF_TC_HEAD(expm1f_zero_pos, tc) 519{ 520 atf_tc_set_md_var(tc, "descr", "Test expm1f(+0.0) == 1.0"); 521} 522 523ATF_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 532ATF_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