1// -*- C++ -*- 2//===---------------------------- cmath -----------------------------------===// 3// 4// The LLVM Compiler Infrastructure 5// 6// This file is dual licensed under the MIT and the University of Illinois Open 7// Source Licenses. See LICENSE.TXT for details. 8// 9//===----------------------------------------------------------------------===// 10 11#ifndef _LIBCPP_CMATH 12#define _LIBCPP_CMATH 13 14/* 15 cmath synopsis 16 17Macros: 18 19 HUGE_VAL 20 HUGE_VALF // C99 21 HUGE_VALL // C99 22 INFINITY // C99 23 NAN // C99 24 FP_INFINITE // C99 25 FP_NAN // C99 26 FP_NORMAL // C99 27 FP_SUBNORMAL // C99 28 FP_ZERO // C99 29 FP_FAST_FMA // C99 30 FP_FAST_FMAF // C99 31 FP_FAST_FMAL // C99 32 FP_ILOGB0 // C99 33 FP_ILOGBNAN // C99 34 MATH_ERRNO // C99 35 MATH_ERREXCEPT // C99 36 math_errhandling // C99 37 38namespace std 39{ 40 41Types: 42 43 float_t // C99 44 double_t // C99 45 46// C90 47 48floating_point abs(floating_point x); 49 50floating_point acos (arithmetic x); 51float acosf(float x); 52long double acosl(long double x); 53 54floating_point asin (arithmetic x); 55float asinf(float x); 56long double asinl(long double x); 57 58floating_point atan (arithmetic x); 59float atanf(float x); 60long double atanl(long double x); 61 62floating_point atan2 (arithmetic y, arithmetic x); 63float atan2f(float y, float x); 64long double atan2l(long double y, long double x); 65 66floating_point ceil (arithmetic x); 67float ceilf(float x); 68long double ceill(long double x); 69 70floating_point cos (arithmetic x); 71float cosf(float x); 72long double cosl(long double x); 73 74floating_point cosh (arithmetic x); 75float coshf(float x); 76long double coshl(long double x); 77 78floating_point exp (arithmetic x); 79float expf(float x); 80long double expl(long double x); 81 82floating_point fabs (arithmetic x); 83float fabsf(float x); 84long double fabsl(long double x); 85 86floating_point floor (arithmetic x); 87float floorf(float x); 88long double floorl(long double x); 89 90floating_point fmod (arithmetic x, arithmetic y); 91float fmodf(float x, float y); 92long double fmodl(long double x, long double y); 93 94floating_point frexp (arithmetic value, int* exp); 95float frexpf(float value, int* exp); 96long double frexpl(long double value, int* exp); 97 98floating_point ldexp (arithmetic value, int exp); 99float ldexpf(float value, int exp); 100long double ldexpl(long double value, int exp); 101 102floating_point log (arithmetic x); 103float logf(float x); 104long double logl(long double x); 105 106floating_point log10 (arithmetic x); 107float log10f(float x); 108long double log10l(long double x); 109 110floating_point modf (floating_point value, floating_point* iptr); 111float modff(float value, float* iptr); 112long double modfl(long double value, long double* iptr); 113 114floating_point pow (arithmetic x, arithmetic y); 115float powf(float x, float y); 116long double powl(long double x, long double y); 117 118floating_point sin (arithmetic x); 119float sinf(float x); 120long double sinl(long double x); 121 122floating_point sinh (arithmetic x); 123float sinhf(float x); 124long double sinhl(long double x); 125 126floating_point sqrt (arithmetic x); 127float sqrtf(float x); 128long double sqrtl(long double x); 129 130floating_point tan (arithmetic x); 131float tanf(float x); 132long double tanl(long double x); 133 134floating_point tanh (arithmetic x); 135float tanhf(float x); 136long double tanhl(long double x); 137 138// C99 139 140bool signbit(arithmetic x); 141 142int fpclassify(arithmetic x); 143 144bool isfinite(arithmetic x); 145bool isinf(arithmetic x); 146bool isnan(arithmetic x); 147bool isnormal(arithmetic x); 148 149bool isgreater(arithmetic x, arithmetic y); 150bool isgreaterequal(arithmetic x, arithmetic y); 151bool isless(arithmetic x, arithmetic y); 152bool islessequal(arithmetic x, arithmetic y); 153bool islessgreater(arithmetic x, arithmetic y); 154bool isunordered(arithmetic x, arithmetic y); 155 156floating_point acosh (arithmetic x); 157float acoshf(float x); 158long double acoshl(long double x); 159 160floating_point asinh (arithmetic x); 161float asinhf(float x); 162long double asinhl(long double x); 163 164floating_point atanh (arithmetic x); 165float atanhf(float x); 166long double atanhl(long double x); 167 168floating_point cbrt (arithmetic x); 169float cbrtf(float x); 170long double cbrtl(long double x); 171 172floating_point copysign (arithmetic x, arithmetic y); 173float copysignf(float x, float y); 174long double copysignl(long double x, long double y); 175 176floating_point erf (arithmetic x); 177float erff(float x); 178long double erfl(long double x); 179 180floating_point erfc (arithmetic x); 181float erfcf(float x); 182long double erfcl(long double x); 183 184floating_point exp2 (arithmetic x); 185float exp2f(float x); 186long double exp2l(long double x); 187 188floating_point expm1 (arithmetic x); 189float expm1f(float x); 190long double expm1l(long double x); 191 192floating_point fdim (arithmetic x, arithmetic y); 193float fdimf(float x, float y); 194long double fdiml(long double x, long double y); 195 196floating_point fma (arithmetic x, arithmetic y, arithmetic z); 197float fmaf(float x, float y, float z); 198long double fmal(long double x, long double y, long double z); 199 200floating_point fmax (arithmetic x, arithmetic y); 201float fmaxf(float x, float y); 202long double fmaxl(long double x, long double y); 203 204floating_point fmin (arithmetic x, arithmetic y); 205float fminf(float x, float y); 206long double fminl(long double x, long double y); 207 208floating_point hypot (arithmetic x, arithmetic y); 209float hypotf(float x, float y); 210long double hypotl(long double x, long double y); 211 212double hypot(double x, double y, double z); // C++17 213float hypot(float x, float y, float z); // C++17 214long double hypot(long double x, long double y, long double z); // C++17 215 216int ilogb (arithmetic x); 217int ilogbf(float x); 218int ilogbl(long double x); 219 220floating_point lgamma (arithmetic x); 221float lgammaf(float x); 222long double lgammal(long double x); 223 224long long llrint (arithmetic x); 225long long llrintf(float x); 226long long llrintl(long double x); 227 228long long llround (arithmetic x); 229long long llroundf(float x); 230long long llroundl(long double x); 231 232floating_point log1p (arithmetic x); 233float log1pf(float x); 234long double log1pl(long double x); 235 236floating_point log2 (arithmetic x); 237float log2f(float x); 238long double log2l(long double x); 239 240floating_point logb (arithmetic x); 241float logbf(float x); 242long double logbl(long double x); 243 244long lrint (arithmetic x); 245long lrintf(float x); 246long lrintl(long double x); 247 248long lround (arithmetic x); 249long lroundf(float x); 250long lroundl(long double x); 251 252double nan (const char* str); 253float nanf(const char* str); 254long double nanl(const char* str); 255 256floating_point nearbyint (arithmetic x); 257float nearbyintf(float x); 258long double nearbyintl(long double x); 259 260floating_point nextafter (arithmetic x, arithmetic y); 261float nextafterf(float x, float y); 262long double nextafterl(long double x, long double y); 263 264floating_point nexttoward (arithmetic x, long double y); 265float nexttowardf(float x, long double y); 266long double nexttowardl(long double x, long double y); 267 268floating_point remainder (arithmetic x, arithmetic y); 269float remainderf(float x, float y); 270long double remainderl(long double x, long double y); 271 272floating_point remquo (arithmetic x, arithmetic y, int* pquo); 273float remquof(float x, float y, int* pquo); 274long double remquol(long double x, long double y, int* pquo); 275 276floating_point rint (arithmetic x); 277float rintf(float x); 278long double rintl(long double x); 279 280floating_point round (arithmetic x); 281float roundf(float x); 282long double roundl(long double x); 283 284floating_point scalbln (arithmetic x, long ex); 285float scalblnf(float x, long ex); 286long double scalblnl(long double x, long ex); 287 288floating_point scalbn (arithmetic x, int ex); 289float scalbnf(float x, int ex); 290long double scalbnl(long double x, int ex); 291 292floating_point tgamma (arithmetic x); 293float tgammaf(float x); 294long double tgammal(long double x); 295 296floating_point trunc (arithmetic x); 297float truncf(float x); 298long double truncl(long double x); 299 300} // std 301 302*/ 303 304#include <__config> 305#include <math.h> 306#include <version> 307 308#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 309#pragma GCC system_header 310#endif 311 312_LIBCPP_BEGIN_NAMESPACE_STD 313 314using ::signbit; 315using ::fpclassify; 316using ::isfinite; 317using ::isinf; 318using ::isnan; 319using ::isnormal; 320using ::isgreater; 321using ::isgreaterequal; 322using ::isless; 323using ::islessequal; 324using ::islessgreater; 325using ::isunordered; 326using ::isunordered; 327 328using ::float_t; 329using ::double_t; 330 331#ifndef _AIX 332using ::abs; 333#endif 334 335using ::acos; 336using ::acosf; 337using ::asin; 338using ::asinf; 339using ::atan; 340using ::atanf; 341using ::atan2; 342using ::atan2f; 343using ::ceil; 344using ::ceilf; 345using ::cos; 346using ::cosf; 347using ::cosh; 348using ::coshf; 349 350using ::exp; 351using ::expf; 352 353using ::fabs; 354using ::fabsf; 355using ::floor; 356using ::floorf; 357 358using ::fmod; 359using ::fmodf; 360 361using ::frexp; 362using ::frexpf; 363using ::ldexp; 364using ::ldexpf; 365 366using ::log; 367using ::logf; 368 369using ::log10; 370using ::log10f; 371using ::modf; 372using ::modff; 373 374using ::pow; 375using ::powf; 376 377using ::sin; 378using ::sinf; 379using ::sinh; 380using ::sinhf; 381 382using ::sqrt; 383using ::sqrtf; 384using ::tan; 385using ::tanf; 386 387using ::tanh; 388using ::tanhf; 389 390using ::acosh; 391using ::acoshf; 392using ::asinh; 393using ::asinhf; 394using ::atanh; 395using ::atanhf; 396using ::cbrt; 397using ::cbrtf; 398 399using ::copysign; 400using ::copysignf; 401 402using ::erf; 403using ::erff; 404using ::erfc; 405using ::erfcf; 406using ::exp2; 407using ::exp2f; 408using ::expm1; 409using ::expm1f; 410using ::fdim; 411using ::fdimf; 412using ::fmaf; 413using ::fma; 414using ::fmax; 415using ::fmaxf; 416using ::fmin; 417using ::fminf; 418using ::hypot; 419using ::hypotf; 420using ::ilogb; 421using ::ilogbf; 422using ::lgamma; 423using ::lgammaf; 424using ::llrint; 425using ::llrintf; 426using ::llround; 427using ::llroundf; 428using ::log1p; 429using ::log1pf; 430using ::log2; 431using ::log2f; 432using ::logb; 433using ::logbf; 434using ::lrint; 435using ::lrintf; 436using ::lround; 437using ::lroundf; 438 439using ::nan; 440using ::nanf; 441 442using ::nearbyint; 443using ::nearbyintf; 444using ::nextafter; 445using ::nextafterf; 446using ::nexttoward; 447using ::nexttowardf; 448using ::remainder; 449using ::remainderf; 450using ::remquo; 451using ::remquof; 452using ::rint; 453using ::rintf; 454using ::round; 455using ::roundf; 456using ::scalbln; 457using ::scalblnf; 458using ::scalbn; 459using ::scalbnf; 460using ::tgamma; 461using ::tgammaf; 462using ::trunc; 463using ::truncf; 464 465using ::acosl; 466using ::asinl; 467using ::atanl; 468using ::atan2l; 469using ::ceill; 470using ::cosl; 471using ::coshl; 472using ::expl; 473using ::fabsl; 474using ::floorl; 475using ::fmodl; 476using ::frexpl; 477using ::ldexpl; 478using ::logl; 479using ::log10l; 480using ::modfl; 481using ::powl; 482using ::sinl; 483using ::sinhl; 484using ::sqrtl; 485using ::tanl; 486 487using ::tanhl; 488using ::acoshl; 489using ::asinhl; 490using ::atanhl; 491using ::cbrtl; 492 493using ::copysignl; 494 495using ::erfl; 496using ::erfcl; 497using ::exp2l; 498using ::expm1l; 499using ::fdiml; 500using ::fmal; 501using ::fmaxl; 502using ::fminl; 503using ::hypotl; 504using ::ilogbl; 505using ::lgammal; 506using ::llrintl; 507using ::llroundl; 508using ::log1pl; 509using ::log2l; 510using ::logbl; 511using ::lrintl; 512using ::lroundl; 513using ::nanl; 514using ::nearbyintl; 515using ::nextafterl; 516using ::nexttowardl; 517using ::remainderl; 518using ::remquol; 519using ::rintl; 520using ::roundl; 521using ::scalblnl; 522using ::scalbnl; 523using ::tgammal; 524using ::truncl; 525 526#if _LIBCPP_STD_VER > 14 527inline _LIBCPP_INLINE_VISIBILITY float hypot( float x, float y, float z ) { return sqrt(x*x + y*y + z*z); } 528inline _LIBCPP_INLINE_VISIBILITY double hypot( double x, double y, double z ) { return sqrt(x*x + y*y + z*z); } 529inline _LIBCPP_INLINE_VISIBILITY long double hypot( long double x, long double y, long double z ) { return sqrt(x*x + y*y + z*z); } 530 531template <class _A1, class _A2, class _A3> 532inline _LIBCPP_INLINE_VISIBILITY 533typename __lazy_enable_if 534< 535 is_arithmetic<_A1>::value && 536 is_arithmetic<_A2>::value && 537 is_arithmetic<_A3>::value, 538 __promote<_A1, _A2, _A3> 539>::type 540hypot(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT 541{ 542 typedef typename __promote<_A1, _A2, _A3>::type __result_type; 543 static_assert((!(is_same<_A1, __result_type>::value && 544 is_same<_A2, __result_type>::value && 545 is_same<_A3, __result_type>::value)), ""); 546 return hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z); 547} 548#endif 549 550template <class _A1> 551_LIBCPP_INLINE_VISIBILITY 552_LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type 553__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT 554{ 555#if __has_builtin(__builtin_isnan) 556 return __builtin_isnan(__lcpp_x); 557#else 558 return isnan(__lcpp_x); 559#endif 560} 561 562template <class _A1> 563_LIBCPP_INLINE_VISIBILITY 564_LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type 565__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT 566{ 567 return isnan(__lcpp_x); 568} 569 570template <class _A1> 571_LIBCPP_INLINE_VISIBILITY 572_LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type 573__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT 574{ 575#if __has_builtin(__builtin_isinf) 576 return __builtin_isinf(__lcpp_x); 577#else 578 return isinf(__lcpp_x); 579#endif 580} 581 582template <class _A1> 583_LIBCPP_INLINE_VISIBILITY 584_LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type 585__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT 586{ 587 return isinf(__lcpp_x); 588} 589 590template <class _A1> 591_LIBCPP_INLINE_VISIBILITY 592_LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type 593__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT 594{ 595#if __has_builtin(__builtin_isfinite) 596 return __builtin_isfinite(__lcpp_x); 597#else 598 return isfinite(__lcpp_x); 599#endif 600} 601 602template <class _A1> 603_LIBCPP_INLINE_VISIBILITY 604_LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type 605__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT 606{ 607 return isfinite(__lcpp_x); 608} 609 610_LIBCPP_END_NAMESPACE_STD 611 612#endif // _LIBCPP_CMATH 613