1// -*- C++ -*- 2//===----------------------------------------------------------------------===// 3// 4// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. 5// See https://llvm.org/LICENSE.txt for license information. 6// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception 7// 8//===----------------------------------------------------------------------===// 9 10#ifndef _LIBCPP_CMATH 11#define _LIBCPP_CMATH 12 13/* 14 cmath synopsis 15 16Macros: 17 18 HUGE_VAL 19 HUGE_VALF // C99 20 HUGE_VALL // C99 21 INFINITY // C99 22 NAN // C99 23 FP_INFINITE // C99 24 FP_NAN // C99 25 FP_NORMAL // C99 26 FP_SUBNORMAL // C99 27 FP_ZERO // C99 28 FP_FAST_FMA // C99 29 FP_FAST_FMAF // C99 30 FP_FAST_FMAL // C99 31 FP_ILOGB0 // C99 32 FP_ILOGBNAN // C99 33 MATH_ERRNO // C99 34 MATH_ERREXCEPT // C99 35 math_errhandling // C99 36 37namespace std 38{ 39 40Types: 41 42 float_t // C99 43 double_t // C99 44 45// C90 46 47floating_point abs(floating_point x); 48 49floating_point acos (arithmetic x); 50float acosf(float x); 51long double acosl(long double x); 52 53floating_point asin (arithmetic x); 54float asinf(float x); 55long double asinl(long double x); 56 57floating_point atan (arithmetic x); 58float atanf(float x); 59long double atanl(long double x); 60 61floating_point atan2 (arithmetic y, arithmetic x); 62float atan2f(float y, float x); 63long double atan2l(long double y, long double x); 64 65floating_point ceil (arithmetic x); 66float ceilf(float x); 67long double ceill(long double x); 68 69floating_point cos (arithmetic x); 70float cosf(float x); 71long double cosl(long double x); 72 73floating_point cosh (arithmetic x); 74float coshf(float x); 75long double coshl(long double x); 76 77floating_point exp (arithmetic x); 78float expf(float x); 79long double expl(long double x); 80 81floating_point fabs (arithmetic x); 82float fabsf(float x); 83long double fabsl(long double x); 84 85floating_point floor (arithmetic x); 86float floorf(float x); 87long double floorl(long double x); 88 89floating_point fmod (arithmetic x, arithmetic y); 90float fmodf(float x, float y); 91long double fmodl(long double x, long double y); 92 93floating_point frexp (arithmetic value, int* exp); 94float frexpf(float value, int* exp); 95long double frexpl(long double value, int* exp); 96 97floating_point ldexp (arithmetic value, int exp); 98float ldexpf(float value, int exp); 99long double ldexpl(long double value, int exp); 100 101floating_point log (arithmetic x); 102float logf(float x); 103long double logl(long double x); 104 105floating_point log10 (arithmetic x); 106float log10f(float x); 107long double log10l(long double x); 108 109floating_point modf (floating_point value, floating_point* iptr); 110float modff(float value, float* iptr); 111long double modfl(long double value, long double* iptr); 112 113floating_point pow (arithmetic x, arithmetic y); 114float powf(float x, float y); 115long double powl(long double x, long double y); 116 117floating_point sin (arithmetic x); 118float sinf(float x); 119long double sinl(long double x); 120 121floating_point sinh (arithmetic x); 122float sinhf(float x); 123long double sinhl(long double x); 124 125floating_point sqrt (arithmetic x); 126float sqrtf(float x); 127long double sqrtl(long double x); 128 129floating_point tan (arithmetic x); 130float tanf(float x); 131long double tanl(long double x); 132 133floating_point tanh (arithmetic x); 134float tanhf(float x); 135long double tanhl(long double x); 136 137// C99 138 139bool signbit(arithmetic x); 140 141int fpclassify(arithmetic x); 142 143bool isfinite(arithmetic x); 144bool isinf(arithmetic x); 145bool isnan(arithmetic x); 146bool isnormal(arithmetic x); 147 148bool isgreater(arithmetic x, arithmetic y); 149bool isgreaterequal(arithmetic x, arithmetic y); 150bool isless(arithmetic x, arithmetic y); 151bool islessequal(arithmetic x, arithmetic y); 152bool islessgreater(arithmetic x, arithmetic y); 153bool isunordered(arithmetic x, arithmetic y); 154 155floating_point acosh (arithmetic x); 156float acoshf(float x); 157long double acoshl(long double x); 158 159floating_point asinh (arithmetic x); 160float asinhf(float x); 161long double asinhl(long double x); 162 163floating_point atanh (arithmetic x); 164float atanhf(float x); 165long double atanhl(long double x); 166 167floating_point cbrt (arithmetic x); 168float cbrtf(float x); 169long double cbrtl(long double x); 170 171floating_point copysign (arithmetic x, arithmetic y); 172float copysignf(float x, float y); 173long double copysignl(long double x, long double y); 174 175floating_point erf (arithmetic x); 176float erff(float x); 177long double erfl(long double x); 178 179floating_point erfc (arithmetic x); 180float erfcf(float x); 181long double erfcl(long double x); 182 183floating_point exp2 (arithmetic x); 184float exp2f(float x); 185long double exp2l(long double x); 186 187floating_point expm1 (arithmetic x); 188float expm1f(float x); 189long double expm1l(long double x); 190 191floating_point fdim (arithmetic x, arithmetic y); 192float fdimf(float x, float y); 193long double fdiml(long double x, long double y); 194 195floating_point fma (arithmetic x, arithmetic y, arithmetic z); 196float fmaf(float x, float y, float z); 197long double fmal(long double x, long double y, long double z); 198 199floating_point fmax (arithmetic x, arithmetic y); 200float fmaxf(float x, float y); 201long double fmaxl(long double x, long double y); 202 203floating_point fmin (arithmetic x, arithmetic y); 204float fminf(float x, float y); 205long double fminl(long double x, long double y); 206 207floating_point hypot (arithmetic x, arithmetic y); 208float hypotf(float x, float y); 209long double hypotl(long double x, long double y); 210 211double hypot(double x, double y, double z); // C++17 212float hypot(float x, float y, float z); // C++17 213long double hypot(long double x, long double y, long double z); // C++17 214 215int ilogb (arithmetic x); 216int ilogbf(float x); 217int ilogbl(long double x); 218 219floating_point lgamma (arithmetic x); 220float lgammaf(float x); 221long double lgammal(long double x); 222 223long long llrint (arithmetic x); 224long long llrintf(float x); 225long long llrintl(long double x); 226 227long long llround (arithmetic x); 228long long llroundf(float x); 229long long llroundl(long double x); 230 231floating_point log1p (arithmetic x); 232float log1pf(float x); 233long double log1pl(long double x); 234 235floating_point log2 (arithmetic x); 236float log2f(float x); 237long double log2l(long double x); 238 239floating_point logb (arithmetic x); 240float logbf(float x); 241long double logbl(long double x); 242 243long lrint (arithmetic x); 244long lrintf(float x); 245long lrintl(long double x); 246 247long lround (arithmetic x); 248long lroundf(float x); 249long lroundl(long double x); 250 251double nan (const char* str); 252float nanf(const char* str); 253long double nanl(const char* str); 254 255floating_point nearbyint (arithmetic x); 256float nearbyintf(float x); 257long double nearbyintl(long double x); 258 259floating_point nextafter (arithmetic x, arithmetic y); 260float nextafterf(float x, float y); 261long double nextafterl(long double x, long double y); 262 263floating_point nexttoward (arithmetic x, long double y); 264float nexttowardf(float x, long double y); 265long double nexttowardl(long double x, long double y); 266 267floating_point remainder (arithmetic x, arithmetic y); 268float remainderf(float x, float y); 269long double remainderl(long double x, long double y); 270 271floating_point remquo (arithmetic x, arithmetic y, int* pquo); 272float remquof(float x, float y, int* pquo); 273long double remquol(long double x, long double y, int* pquo); 274 275floating_point rint (arithmetic x); 276float rintf(float x); 277long double rintl(long double x); 278 279floating_point round (arithmetic x); 280float roundf(float x); 281long double roundl(long double x); 282 283floating_point scalbln (arithmetic x, long ex); 284float scalblnf(float x, long ex); 285long double scalblnl(long double x, long ex); 286 287floating_point scalbn (arithmetic x, int ex); 288float scalbnf(float x, int ex); 289long double scalbnl(long double x, int ex); 290 291floating_point tgamma (arithmetic x); 292float tgammaf(float x); 293long double tgammal(long double x); 294 295floating_point trunc (arithmetic x); 296float truncf(float x); 297long double truncl(long double x); 298 299constexpr float lerp(float a, float b, float t) noexcept; // C++20 300constexpr double lerp(double a, double b, double t) noexcept; // C++20 301constexpr long double lerp(long double a, long double b, long double t) noexcept; // C++20 302 303} // std 304 305*/ 306 307#include <__config> 308#include <__type_traits/enable_if.h> 309#include <__type_traits/is_arithmetic.h> 310#include <__type_traits/is_constant_evaluated.h> 311#include <__type_traits/is_floating_point.h> 312#include <__type_traits/is_same.h> 313#include <__type_traits/promote.h> 314#include <__type_traits/remove_cv.h> 315#include <limits> 316#include <version> 317 318#include <math.h> 319 320#ifndef _LIBCPP_MATH_H 321# error <cmath> tried including <math.h> but didn't find libc++'s <math.h> header. \ 322 This usually means that your header search paths are not configured properly. \ 323 The header search paths should contain the C++ Standard Library headers before \ 324 any C Standard Library, and you are probably using compiler flags that make that \ 325 not be the case. 326#endif 327 328#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 329# pragma GCC system_header 330#endif 331 332_LIBCPP_PUSH_MACROS 333#include <__undef_macros> 334 335_LIBCPP_BEGIN_NAMESPACE_STD 336 337using ::signbit _LIBCPP_USING_IF_EXISTS; 338using ::fpclassify _LIBCPP_USING_IF_EXISTS; 339using ::isfinite _LIBCPP_USING_IF_EXISTS; 340using ::isinf _LIBCPP_USING_IF_EXISTS; 341using ::isnan _LIBCPP_USING_IF_EXISTS; 342using ::isnormal _LIBCPP_USING_IF_EXISTS; 343using ::isgreater _LIBCPP_USING_IF_EXISTS; 344using ::isgreaterequal _LIBCPP_USING_IF_EXISTS; 345using ::isless _LIBCPP_USING_IF_EXISTS; 346using ::islessequal _LIBCPP_USING_IF_EXISTS; 347using ::islessgreater _LIBCPP_USING_IF_EXISTS; 348using ::isunordered _LIBCPP_USING_IF_EXISTS; 349using ::isunordered _LIBCPP_USING_IF_EXISTS; 350 351using ::float_t _LIBCPP_USING_IF_EXISTS; 352using ::double_t _LIBCPP_USING_IF_EXISTS; 353 354using ::abs _LIBCPP_USING_IF_EXISTS; 355 356using ::acos _LIBCPP_USING_IF_EXISTS; 357using ::acosf _LIBCPP_USING_IF_EXISTS; 358using ::asin _LIBCPP_USING_IF_EXISTS; 359using ::asinf _LIBCPP_USING_IF_EXISTS; 360using ::atan _LIBCPP_USING_IF_EXISTS; 361using ::atanf _LIBCPP_USING_IF_EXISTS; 362using ::atan2 _LIBCPP_USING_IF_EXISTS; 363using ::atan2f _LIBCPP_USING_IF_EXISTS; 364using ::ceil _LIBCPP_USING_IF_EXISTS; 365using ::ceilf _LIBCPP_USING_IF_EXISTS; 366using ::cos _LIBCPP_USING_IF_EXISTS; 367using ::cosf _LIBCPP_USING_IF_EXISTS; 368using ::cosh _LIBCPP_USING_IF_EXISTS; 369using ::coshf _LIBCPP_USING_IF_EXISTS; 370 371using ::exp _LIBCPP_USING_IF_EXISTS; 372using ::expf _LIBCPP_USING_IF_EXISTS; 373 374using ::fabs _LIBCPP_USING_IF_EXISTS; 375using ::fabsf _LIBCPP_USING_IF_EXISTS; 376using ::floor _LIBCPP_USING_IF_EXISTS; 377using ::floorf _LIBCPP_USING_IF_EXISTS; 378 379using ::fmod _LIBCPP_USING_IF_EXISTS; 380using ::fmodf _LIBCPP_USING_IF_EXISTS; 381 382using ::frexp _LIBCPP_USING_IF_EXISTS; 383using ::frexpf _LIBCPP_USING_IF_EXISTS; 384using ::ldexp _LIBCPP_USING_IF_EXISTS; 385using ::ldexpf _LIBCPP_USING_IF_EXISTS; 386 387using ::log _LIBCPP_USING_IF_EXISTS; 388using ::logf _LIBCPP_USING_IF_EXISTS; 389 390using ::log10 _LIBCPP_USING_IF_EXISTS; 391using ::log10f _LIBCPP_USING_IF_EXISTS; 392using ::modf _LIBCPP_USING_IF_EXISTS; 393using ::modff _LIBCPP_USING_IF_EXISTS; 394 395using ::pow _LIBCPP_USING_IF_EXISTS; 396using ::powf _LIBCPP_USING_IF_EXISTS; 397 398using ::sin _LIBCPP_USING_IF_EXISTS; 399using ::sinf _LIBCPP_USING_IF_EXISTS; 400using ::sinh _LIBCPP_USING_IF_EXISTS; 401using ::sinhf _LIBCPP_USING_IF_EXISTS; 402 403using ::sqrt _LIBCPP_USING_IF_EXISTS; 404using ::sqrtf _LIBCPP_USING_IF_EXISTS; 405using ::tan _LIBCPP_USING_IF_EXISTS; 406using ::tanf _LIBCPP_USING_IF_EXISTS; 407 408using ::tanh _LIBCPP_USING_IF_EXISTS; 409using ::tanhf _LIBCPP_USING_IF_EXISTS; 410 411using ::acosh _LIBCPP_USING_IF_EXISTS; 412using ::acoshf _LIBCPP_USING_IF_EXISTS; 413using ::asinh _LIBCPP_USING_IF_EXISTS; 414using ::asinhf _LIBCPP_USING_IF_EXISTS; 415using ::atanh _LIBCPP_USING_IF_EXISTS; 416using ::atanhf _LIBCPP_USING_IF_EXISTS; 417using ::cbrt _LIBCPP_USING_IF_EXISTS; 418using ::cbrtf _LIBCPP_USING_IF_EXISTS; 419 420using ::copysign _LIBCPP_USING_IF_EXISTS; 421using ::copysignf _LIBCPP_USING_IF_EXISTS; 422 423using ::erf _LIBCPP_USING_IF_EXISTS; 424using ::erff _LIBCPP_USING_IF_EXISTS; 425using ::erfc _LIBCPP_USING_IF_EXISTS; 426using ::erfcf _LIBCPP_USING_IF_EXISTS; 427using ::exp2 _LIBCPP_USING_IF_EXISTS; 428using ::exp2f _LIBCPP_USING_IF_EXISTS; 429using ::expm1 _LIBCPP_USING_IF_EXISTS; 430using ::expm1f _LIBCPP_USING_IF_EXISTS; 431using ::fdim _LIBCPP_USING_IF_EXISTS; 432using ::fdimf _LIBCPP_USING_IF_EXISTS; 433using ::fmaf _LIBCPP_USING_IF_EXISTS; 434using ::fma _LIBCPP_USING_IF_EXISTS; 435using ::fmax _LIBCPP_USING_IF_EXISTS; 436using ::fmaxf _LIBCPP_USING_IF_EXISTS; 437using ::fmin _LIBCPP_USING_IF_EXISTS; 438using ::fminf _LIBCPP_USING_IF_EXISTS; 439using ::hypot _LIBCPP_USING_IF_EXISTS; 440using ::hypotf _LIBCPP_USING_IF_EXISTS; 441using ::ilogb _LIBCPP_USING_IF_EXISTS; 442using ::ilogbf _LIBCPP_USING_IF_EXISTS; 443using ::lgamma _LIBCPP_USING_IF_EXISTS; 444using ::lgammaf _LIBCPP_USING_IF_EXISTS; 445using ::llrint _LIBCPP_USING_IF_EXISTS; 446using ::llrintf _LIBCPP_USING_IF_EXISTS; 447using ::llround _LIBCPP_USING_IF_EXISTS; 448using ::llroundf _LIBCPP_USING_IF_EXISTS; 449using ::log1p _LIBCPP_USING_IF_EXISTS; 450using ::log1pf _LIBCPP_USING_IF_EXISTS; 451using ::log2 _LIBCPP_USING_IF_EXISTS; 452using ::log2f _LIBCPP_USING_IF_EXISTS; 453using ::logb _LIBCPP_USING_IF_EXISTS; 454using ::logbf _LIBCPP_USING_IF_EXISTS; 455using ::lrint _LIBCPP_USING_IF_EXISTS; 456using ::lrintf _LIBCPP_USING_IF_EXISTS; 457using ::lround _LIBCPP_USING_IF_EXISTS; 458using ::lroundf _LIBCPP_USING_IF_EXISTS; 459 460using ::nan _LIBCPP_USING_IF_EXISTS; 461using ::nanf _LIBCPP_USING_IF_EXISTS; 462 463using ::nearbyint _LIBCPP_USING_IF_EXISTS; 464using ::nearbyintf _LIBCPP_USING_IF_EXISTS; 465using ::nextafter _LIBCPP_USING_IF_EXISTS; 466using ::nextafterf _LIBCPP_USING_IF_EXISTS; 467using ::nexttoward _LIBCPP_USING_IF_EXISTS; 468using ::nexttowardf _LIBCPP_USING_IF_EXISTS; 469using ::remainder _LIBCPP_USING_IF_EXISTS; 470using ::remainderf _LIBCPP_USING_IF_EXISTS; 471using ::remquo _LIBCPP_USING_IF_EXISTS; 472using ::remquof _LIBCPP_USING_IF_EXISTS; 473using ::rint _LIBCPP_USING_IF_EXISTS; 474using ::rintf _LIBCPP_USING_IF_EXISTS; 475using ::round _LIBCPP_USING_IF_EXISTS; 476using ::roundf _LIBCPP_USING_IF_EXISTS; 477using ::scalbln _LIBCPP_USING_IF_EXISTS; 478using ::scalblnf _LIBCPP_USING_IF_EXISTS; 479using ::scalbn _LIBCPP_USING_IF_EXISTS; 480using ::scalbnf _LIBCPP_USING_IF_EXISTS; 481using ::tgamma _LIBCPP_USING_IF_EXISTS; 482using ::tgammaf _LIBCPP_USING_IF_EXISTS; 483using ::trunc _LIBCPP_USING_IF_EXISTS; 484using ::truncf _LIBCPP_USING_IF_EXISTS; 485 486using ::acosl _LIBCPP_USING_IF_EXISTS; 487using ::asinl _LIBCPP_USING_IF_EXISTS; 488using ::atanl _LIBCPP_USING_IF_EXISTS; 489using ::atan2l _LIBCPP_USING_IF_EXISTS; 490using ::ceill _LIBCPP_USING_IF_EXISTS; 491using ::cosl _LIBCPP_USING_IF_EXISTS; 492using ::coshl _LIBCPP_USING_IF_EXISTS; 493using ::expl _LIBCPP_USING_IF_EXISTS; 494using ::fabsl _LIBCPP_USING_IF_EXISTS; 495using ::floorl _LIBCPP_USING_IF_EXISTS; 496using ::fmodl _LIBCPP_USING_IF_EXISTS; 497using ::frexpl _LIBCPP_USING_IF_EXISTS; 498using ::ldexpl _LIBCPP_USING_IF_EXISTS; 499using ::logl _LIBCPP_USING_IF_EXISTS; 500using ::log10l _LIBCPP_USING_IF_EXISTS; 501using ::modfl _LIBCPP_USING_IF_EXISTS; 502using ::powl _LIBCPP_USING_IF_EXISTS; 503using ::sinl _LIBCPP_USING_IF_EXISTS; 504using ::sinhl _LIBCPP_USING_IF_EXISTS; 505using ::sqrtl _LIBCPP_USING_IF_EXISTS; 506using ::tanl _LIBCPP_USING_IF_EXISTS; 507 508using ::tanhl _LIBCPP_USING_IF_EXISTS; 509using ::acoshl _LIBCPP_USING_IF_EXISTS; 510using ::asinhl _LIBCPP_USING_IF_EXISTS; 511using ::atanhl _LIBCPP_USING_IF_EXISTS; 512using ::cbrtl _LIBCPP_USING_IF_EXISTS; 513 514using ::copysignl _LIBCPP_USING_IF_EXISTS; 515 516using ::erfl _LIBCPP_USING_IF_EXISTS; 517using ::erfcl _LIBCPP_USING_IF_EXISTS; 518using ::exp2l _LIBCPP_USING_IF_EXISTS; 519using ::expm1l _LIBCPP_USING_IF_EXISTS; 520using ::fdiml _LIBCPP_USING_IF_EXISTS; 521using ::fmal _LIBCPP_USING_IF_EXISTS; 522using ::fmaxl _LIBCPP_USING_IF_EXISTS; 523using ::fminl _LIBCPP_USING_IF_EXISTS; 524using ::hypotl _LIBCPP_USING_IF_EXISTS; 525using ::ilogbl _LIBCPP_USING_IF_EXISTS; 526using ::lgammal _LIBCPP_USING_IF_EXISTS; 527using ::llrintl _LIBCPP_USING_IF_EXISTS; 528using ::llroundl _LIBCPP_USING_IF_EXISTS; 529using ::log1pl _LIBCPP_USING_IF_EXISTS; 530using ::log2l _LIBCPP_USING_IF_EXISTS; 531using ::logbl _LIBCPP_USING_IF_EXISTS; 532using ::lrintl _LIBCPP_USING_IF_EXISTS; 533using ::lroundl _LIBCPP_USING_IF_EXISTS; 534using ::nanl _LIBCPP_USING_IF_EXISTS; 535using ::nearbyintl _LIBCPP_USING_IF_EXISTS; 536using ::nextafterl _LIBCPP_USING_IF_EXISTS; 537using ::nexttowardl _LIBCPP_USING_IF_EXISTS; 538using ::remainderl _LIBCPP_USING_IF_EXISTS; 539using ::remquol _LIBCPP_USING_IF_EXISTS; 540using ::rintl _LIBCPP_USING_IF_EXISTS; 541using ::roundl _LIBCPP_USING_IF_EXISTS; 542using ::scalblnl _LIBCPP_USING_IF_EXISTS; 543using ::scalbnl _LIBCPP_USING_IF_EXISTS; 544using ::tgammal _LIBCPP_USING_IF_EXISTS; 545using ::truncl _LIBCPP_USING_IF_EXISTS; 546 547#if _LIBCPP_STD_VER >= 17 548inline _LIBCPP_HIDE_FROM_ABI float hypot(float __x, float __y, float __z) { 549 return sqrt(__x * __x + __y * __y + __z * __z); 550} 551inline _LIBCPP_HIDE_FROM_ABI double hypot(double __x, double __y, double __z) { 552 return sqrt(__x * __x + __y * __y + __z * __z); 553} 554inline _LIBCPP_HIDE_FROM_ABI long double hypot(long double __x, long double __y, long double __z) { 555 return sqrt(__x * __x + __y * __y + __z * __z); 556} 557 558template <class _A1, class _A2, class _A3> 559inline _LIBCPP_HIDE_FROM_ABI 560 typename enable_if_t< is_arithmetic<_A1>::value && is_arithmetic<_A2>::value && is_arithmetic<_A3>::value, 561 __promote<_A1, _A2, _A3> >::type 562 hypot(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT { 563 typedef typename __promote<_A1, _A2, _A3>::type __result_type; 564 static_assert((!(is_same<_A1, __result_type>::value && is_same<_A2, __result_type>::value && 565 is_same<_A3, __result_type>::value)), 566 ""); 567 return std::hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z); 568} 569#endif 570 571template <class _A1, __enable_if_t<is_floating_point<_A1>::value, int> = 0> 572_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isnan(_A1 __lcpp_x) _NOEXCEPT { 573#if __has_builtin(__builtin_isnan) 574 return __builtin_isnan(__lcpp_x); 575#else 576 return isnan(__lcpp_x); 577#endif 578} 579 580template <class _A1, __enable_if_t<!is_floating_point<_A1>::value, int> = 0> 581_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isnan(_A1 __lcpp_x) _NOEXCEPT { 582 return std::isnan(__lcpp_x); 583} 584 585template <class _A1, __enable_if_t<is_floating_point<_A1>::value, int> = 0> 586_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isinf(_A1 __lcpp_x) _NOEXCEPT { 587#if __has_builtin(__builtin_isinf) 588 return __builtin_isinf(__lcpp_x); 589#else 590 return isinf(__lcpp_x); 591#endif 592} 593 594template <class _A1, __enable_if_t<!is_floating_point<_A1>::value, int> = 0> 595_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isinf(_A1 __lcpp_x) _NOEXCEPT { 596 return std::isinf(__lcpp_x); 597} 598 599template <class _A1, __enable_if_t<is_floating_point<_A1>::value, int> = 0> 600_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isfinite(_A1 __lcpp_x) _NOEXCEPT { 601#if __has_builtin(__builtin_isfinite) 602 return __builtin_isfinite(__lcpp_x); 603#else 604 return isfinite(__lcpp_x); 605#endif 606} 607 608template <class _A1, __enable_if_t<!is_floating_point<_A1>::value, int> = 0> 609_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isfinite(_A1 __lcpp_x) _NOEXCEPT { 610 return __builtin_isfinite(__lcpp_x); 611} 612 613_LIBCPP_CONSTEXPR inline _LIBCPP_HIDE_FROM_ABI float __constexpr_copysign(float __x, float __y) _NOEXCEPT { 614 return __builtin_copysignf(__x, __y); 615} 616 617_LIBCPP_CONSTEXPR inline _LIBCPP_HIDE_FROM_ABI double __constexpr_copysign(double __x, double __y) _NOEXCEPT { 618 return __builtin_copysign(__x, __y); 619} 620 621_LIBCPP_CONSTEXPR inline _LIBCPP_HIDE_FROM_ABI long double 622__constexpr_copysign(long double __x, long double __y) _NOEXCEPT { 623 return __builtin_copysignl(__x, __y); 624} 625 626template <class _A1, 627 class _A2, 628 __enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0> 629_LIBCPP_CONSTEXPR inline _LIBCPP_HIDE_FROM_ABI typename __promote<_A1, _A2>::type 630__constexpr_copysign(_A1 __x, _A2 __y) _NOEXCEPT { 631 typedef typename std::__promote<_A1, _A2>::type __result_type; 632 static_assert((!(std::_IsSame<_A1, __result_type>::value && std::_IsSame<_A2, __result_type>::value)), ""); 633 return __builtin_copysign((__result_type)__x, (__result_type)__y); 634} 635 636inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR float __constexpr_fabs(float __x) _NOEXCEPT { 637 return __builtin_fabsf(__x); 638} 639 640inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR double __constexpr_fabs(double __x) _NOEXCEPT { 641 return __builtin_fabs(__x); 642} 643 644inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR long double __constexpr_fabs(long double __x) _NOEXCEPT { 645 return __builtin_fabsl(__x); 646} 647 648template <class _Tp, __enable_if_t<is_integral<_Tp>::value, int> = 0> 649_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR double __constexpr_fabs(_Tp __x) _NOEXCEPT { 650 return __builtin_fabs(static_cast<double>(__x)); 651} 652 653inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 float __constexpr_fmax(float __x, float __y) _NOEXCEPT { 654#if !__has_constexpr_builtin(__builtin_fmaxf) 655 if (__libcpp_is_constant_evaluated()) { 656 if (std::__constexpr_isnan(__x)) 657 return __y; 658 if (std::__constexpr_isnan(__y)) 659 return __x; 660 return __x < __y ? __y : __x; 661 } 662#endif 663 return __builtin_fmaxf(__x, __y); 664} 665 666inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 double __constexpr_fmax(double __x, double __y) _NOEXCEPT { 667#if !__has_constexpr_builtin(__builtin_fmax) 668 if (__libcpp_is_constant_evaluated()) { 669 if (std::__constexpr_isnan(__x)) 670 return __y; 671 if (std::__constexpr_isnan(__y)) 672 return __x; 673 return __x < __y ? __y : __x; 674 } 675#endif 676 return __builtin_fmax(__x, __y); 677} 678 679inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 long double 680__constexpr_fmax(long double __x, long double __y) _NOEXCEPT { 681#if !__has_constexpr_builtin(__builtin_fmaxl) 682 if (__libcpp_is_constant_evaluated()) { 683 if (std::__constexpr_isnan(__x)) 684 return __y; 685 if (std::__constexpr_isnan(__y)) 686 return __x; 687 return __x < __y ? __y : __x; 688 } 689#endif 690 return __builtin_fmaxl(__x, __y); 691} 692 693template <class _Tp, class _Up, __enable_if_t<is_arithmetic<_Tp>::value && is_arithmetic<_Up>::value, int> = 0> 694_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 typename __promote<_Tp, _Up>::type 695__constexpr_fmax(_Tp __x, _Up __y) _NOEXCEPT { 696 using __result_type = typename __promote<_Tp, _Up>::type; 697 return std::__constexpr_fmax(static_cast<__result_type>(__x), static_cast<__result_type>(__y)); 698} 699 700template <class _Tp> 701_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 _Tp __constexpr_logb(_Tp __x) { 702#if !__has_constexpr_builtin(__builtin_logb) 703 if (__libcpp_is_constant_evaluated()) { 704 if (__x == _Tp(0)) { 705 // raise FE_DIVBYZERO 706 return -numeric_limits<_Tp>::infinity(); 707 } 708 709 if (std::__constexpr_isinf(__x)) 710 return numeric_limits<_Tp>::infinity(); 711 712 if (std::__constexpr_isnan(__x)) 713 return numeric_limits<_Tp>::quiet_NaN(); 714 715 __x = std::__constexpr_fabs(__x); 716 unsigned long long __exp = 0; 717 while (__x >= numeric_limits<_Tp>::radix) { 718 __x /= numeric_limits<_Tp>::radix; 719 __exp += 1; 720 } 721 return _Tp(__exp); 722 } 723#endif // !__has_constexpr_builtin(__builtin_logb) 724 return __builtin_logb(__x); 725} 726 727template <class _Tp> 728_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 _Tp __constexpr_scalbn(_Tp __x, int __exp) { 729#if !__has_constexpr_builtin(__builtin_scalbln) 730 if (__libcpp_is_constant_evaluated()) { 731 if (__x == _Tp(0)) 732 return __x; 733 734 if (std::__constexpr_isinf(__x)) 735 return __x; 736 737 if (__exp == _Tp(0)) 738 return __x; 739 740 if (std::__constexpr_isnan(__x)) 741 return numeric_limits<_Tp>::quiet_NaN(); 742 743 _Tp __mult(1); 744 if (__exp > 0) { 745 __mult = numeric_limits<_Tp>::radix; 746 --__exp; 747 } else { 748 ++__exp; 749 __exp = -__exp; 750 __mult /= numeric_limits<_Tp>::radix; 751 } 752 753 while (__exp > 0) { 754 if (!(__exp & 1)) { 755 __mult *= __mult; 756 __exp >>= 1; 757 } else { 758 __x *= __mult; 759 --__exp; 760 } 761 } 762 return __x; 763 } 764#endif // !__has_constexpr_builtin(__builtin_scalbln) 765 return __builtin_scalbn(__x, __exp); 766} 767 768#if _LIBCPP_STD_VER >= 20 769template <typename _Fp> 770_LIBCPP_HIDE_FROM_ABI constexpr _Fp __lerp(_Fp __a, _Fp __b, _Fp __t) noexcept { 771 if ((__a <= 0 && __b >= 0) || (__a >= 0 && __b <= 0)) 772 return __t * __b + (1 - __t) * __a; 773 774 if (__t == 1) 775 return __b; 776 const _Fp __x = __a + __t * (__b - __a); 777 if ((__t > 1) == (__b > __a)) 778 return __b < __x ? __x : __b; 779 else 780 return __x < __b ? __x : __b; 781} 782 783_LIBCPP_HIDE_FROM_ABI inline constexpr float lerp(float __a, float __b, float __t) _NOEXCEPT { 784 return __lerp(__a, __b, __t); 785} 786 787_LIBCPP_HIDE_FROM_ABI inline constexpr double lerp(double __a, double __b, double __t) _NOEXCEPT { 788 return __lerp(__a, __b, __t); 789} 790 791_LIBCPP_HIDE_FROM_ABI inline constexpr long double lerp(long double __a, long double __b, long double __t) _NOEXCEPT { 792 return __lerp(__a, __b, __t); 793} 794 795template <class _A1, class _A2, class _A3> 796inline _LIBCPP_HIDE_FROM_ABI constexpr 797 typename enable_if_t< is_arithmetic<_A1>::value && is_arithmetic<_A2>::value && is_arithmetic<_A3>::value, 798 __promote<_A1, _A2, _A3> >::type 799 lerp(_A1 __a, _A2 __b, _A3 __t) noexcept { 800 typedef typename __promote<_A1, _A2, _A3>::type __result_type; 801 static_assert(!( 802 _IsSame<_A1, __result_type>::value && _IsSame<_A2, __result_type>::value && _IsSame<_A3, __result_type>::value)); 803 return std::__lerp((__result_type)__a, (__result_type)__b, (__result_type)__t); 804} 805#endif // _LIBCPP_STD_VER >= 20 806 807_LIBCPP_END_NAMESPACE_STD 808 809_LIBCPP_POP_MACROS 810 811#if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20 812# include <type_traits> 813#endif 814 815#endif // _LIBCPP_CMATH 816