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 207double hermite(unsigned n, double x); // C++17 208float hermite(unsigned n, float x); // C++17 209long double hermite(unsigned n, long double x); // C++17 210float hermitef(unsigned n, float x); // C++17 211long double hermitel(unsigned n, long double x); // C++17 212template <class Integer> 213double hermite(unsigned n, Integer x); // C++17 214 215floating_point hypot (arithmetic x, arithmetic y); 216float hypotf(float x, float y); 217long double hypotl(long double x, long double y); 218 219double hypot(double x, double y, double z); // C++17 220float hypot(float x, float y, float z); // C++17 221long double hypot(long double x, long double y, long double z); // C++17 222 223int ilogb (arithmetic x); 224int ilogbf(float x); 225int ilogbl(long double x); 226 227floating_point lgamma (arithmetic x); 228float lgammaf(float x); 229long double lgammal(long double x); 230 231long long llrint (arithmetic x); 232long long llrintf(float x); 233long long llrintl(long double x); 234 235long long llround (arithmetic x); 236long long llroundf(float x); 237long long llroundl(long double x); 238 239floating_point log1p (arithmetic x); 240float log1pf(float x); 241long double log1pl(long double x); 242 243floating_point log2 (arithmetic x); 244float log2f(float x); 245long double log2l(long double x); 246 247floating_point logb (arithmetic x); 248float logbf(float x); 249long double logbl(long double x); 250 251long lrint (arithmetic x); 252long lrintf(float x); 253long lrintl(long double x); 254 255long lround (arithmetic x); 256long lroundf(float x); 257long lroundl(long double x); 258 259double nan (const char* str); 260float nanf(const char* str); 261long double nanl(const char* str); 262 263floating_point nearbyint (arithmetic x); 264float nearbyintf(float x); 265long double nearbyintl(long double x); 266 267floating_point nextafter (arithmetic x, arithmetic y); 268float nextafterf(float x, float y); 269long double nextafterl(long double x, long double y); 270 271floating_point nexttoward (arithmetic x, long double y); 272float nexttowardf(float x, long double y); 273long double nexttowardl(long double x, long double y); 274 275floating_point remainder (arithmetic x, arithmetic y); 276float remainderf(float x, float y); 277long double remainderl(long double x, long double y); 278 279floating_point remquo (arithmetic x, arithmetic y, int* pquo); 280float remquof(float x, float y, int* pquo); 281long double remquol(long double x, long double y, int* pquo); 282 283floating_point rint (arithmetic x); 284float rintf(float x); 285long double rintl(long double x); 286 287floating_point round (arithmetic x); 288float roundf(float x); 289long double roundl(long double x); 290 291floating_point scalbln (arithmetic x, long ex); 292float scalblnf(float x, long ex); 293long double scalblnl(long double x, long ex); 294 295floating_point scalbn (arithmetic x, int ex); 296float scalbnf(float x, int ex); 297long double scalbnl(long double x, int ex); 298 299floating_point tgamma (arithmetic x); 300float tgammaf(float x); 301long double tgammal(long double x); 302 303floating_point trunc (arithmetic x); 304float truncf(float x); 305long double truncl(long double x); 306 307constexpr float lerp(float a, float b, float t) noexcept; // C++20 308constexpr double lerp(double a, double b, double t) noexcept; // C++20 309constexpr long double lerp(long double a, long double b, long double t) noexcept; // C++20 310 311} // std 312 313*/ 314 315#include <__config> 316#include <__math/hypot.h> 317#include <__type_traits/enable_if.h> 318#include <__type_traits/is_arithmetic.h> 319#include <__type_traits/is_constant_evaluated.h> 320#include <__type_traits/is_floating_point.h> 321#include <__type_traits/is_same.h> 322#include <__type_traits/promote.h> 323#include <__type_traits/remove_cv.h> 324#include <limits> 325#include <version> 326 327#include <__math/special_functions.h> 328#include <math.h> 329 330#ifndef _LIBCPP_MATH_H 331# error <cmath> tried including <math.h> but didn't find libc++'s <math.h> header. \ 332 This usually means that your header search paths are not configured properly. \ 333 The header search paths should contain the C++ Standard Library headers before \ 334 any C Standard Library, and you are probably using compiler flags that make that \ 335 not be the case. 336#endif 337 338#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 339# pragma GCC system_header 340#endif 341 342_LIBCPP_PUSH_MACROS 343#include <__undef_macros> 344 345_LIBCPP_BEGIN_NAMESPACE_STD 346 347using ::signbit _LIBCPP_USING_IF_EXISTS; 348using ::fpclassify _LIBCPP_USING_IF_EXISTS; 349using ::isfinite _LIBCPP_USING_IF_EXISTS; 350using ::isinf _LIBCPP_USING_IF_EXISTS; 351using ::isnan _LIBCPP_USING_IF_EXISTS; 352using ::isnormal _LIBCPP_USING_IF_EXISTS; 353using ::isgreater _LIBCPP_USING_IF_EXISTS; 354using ::isgreaterequal _LIBCPP_USING_IF_EXISTS; 355using ::isless _LIBCPP_USING_IF_EXISTS; 356using ::islessequal _LIBCPP_USING_IF_EXISTS; 357using ::islessgreater _LIBCPP_USING_IF_EXISTS; 358using ::isunordered _LIBCPP_USING_IF_EXISTS; 359using ::isunordered _LIBCPP_USING_IF_EXISTS; 360 361using ::float_t _LIBCPP_USING_IF_EXISTS; 362using ::double_t _LIBCPP_USING_IF_EXISTS; 363 364using ::abs _LIBCPP_USING_IF_EXISTS; 365 366using ::acos _LIBCPP_USING_IF_EXISTS; 367using ::acosf _LIBCPP_USING_IF_EXISTS; 368using ::asin _LIBCPP_USING_IF_EXISTS; 369using ::asinf _LIBCPP_USING_IF_EXISTS; 370using ::atan _LIBCPP_USING_IF_EXISTS; 371using ::atanf _LIBCPP_USING_IF_EXISTS; 372using ::atan2 _LIBCPP_USING_IF_EXISTS; 373using ::atan2f _LIBCPP_USING_IF_EXISTS; 374using ::ceil _LIBCPP_USING_IF_EXISTS; 375using ::ceilf _LIBCPP_USING_IF_EXISTS; 376using ::cos _LIBCPP_USING_IF_EXISTS; 377using ::cosf _LIBCPP_USING_IF_EXISTS; 378using ::cosh _LIBCPP_USING_IF_EXISTS; 379using ::coshf _LIBCPP_USING_IF_EXISTS; 380 381using ::exp _LIBCPP_USING_IF_EXISTS; 382using ::expf _LIBCPP_USING_IF_EXISTS; 383 384using ::fabs _LIBCPP_USING_IF_EXISTS; 385using ::fabsf _LIBCPP_USING_IF_EXISTS; 386using ::floor _LIBCPP_USING_IF_EXISTS; 387using ::floorf _LIBCPP_USING_IF_EXISTS; 388 389using ::fmod _LIBCPP_USING_IF_EXISTS; 390using ::fmodf _LIBCPP_USING_IF_EXISTS; 391 392using ::frexp _LIBCPP_USING_IF_EXISTS; 393using ::frexpf _LIBCPP_USING_IF_EXISTS; 394using ::ldexp _LIBCPP_USING_IF_EXISTS; 395using ::ldexpf _LIBCPP_USING_IF_EXISTS; 396 397using ::log _LIBCPP_USING_IF_EXISTS; 398using ::logf _LIBCPP_USING_IF_EXISTS; 399 400using ::log10 _LIBCPP_USING_IF_EXISTS; 401using ::log10f _LIBCPP_USING_IF_EXISTS; 402using ::modf _LIBCPP_USING_IF_EXISTS; 403using ::modff _LIBCPP_USING_IF_EXISTS; 404 405using ::pow _LIBCPP_USING_IF_EXISTS; 406using ::powf _LIBCPP_USING_IF_EXISTS; 407 408using ::sin _LIBCPP_USING_IF_EXISTS; 409using ::sinf _LIBCPP_USING_IF_EXISTS; 410using ::sinh _LIBCPP_USING_IF_EXISTS; 411using ::sinhf _LIBCPP_USING_IF_EXISTS; 412 413using ::sqrt _LIBCPP_USING_IF_EXISTS; 414using ::sqrtf _LIBCPP_USING_IF_EXISTS; 415using ::tan _LIBCPP_USING_IF_EXISTS; 416using ::tanf _LIBCPP_USING_IF_EXISTS; 417 418using ::tanh _LIBCPP_USING_IF_EXISTS; 419using ::tanhf _LIBCPP_USING_IF_EXISTS; 420 421using ::acosh _LIBCPP_USING_IF_EXISTS; 422using ::acoshf _LIBCPP_USING_IF_EXISTS; 423using ::asinh _LIBCPP_USING_IF_EXISTS; 424using ::asinhf _LIBCPP_USING_IF_EXISTS; 425using ::atanh _LIBCPP_USING_IF_EXISTS; 426using ::atanhf _LIBCPP_USING_IF_EXISTS; 427using ::cbrt _LIBCPP_USING_IF_EXISTS; 428using ::cbrtf _LIBCPP_USING_IF_EXISTS; 429 430using ::copysign _LIBCPP_USING_IF_EXISTS; 431using ::copysignf _LIBCPP_USING_IF_EXISTS; 432 433using ::erf _LIBCPP_USING_IF_EXISTS; 434using ::erff _LIBCPP_USING_IF_EXISTS; 435using ::erfc _LIBCPP_USING_IF_EXISTS; 436using ::erfcf _LIBCPP_USING_IF_EXISTS; 437using ::exp2 _LIBCPP_USING_IF_EXISTS; 438using ::exp2f _LIBCPP_USING_IF_EXISTS; 439using ::expm1 _LIBCPP_USING_IF_EXISTS; 440using ::expm1f _LIBCPP_USING_IF_EXISTS; 441using ::fdim _LIBCPP_USING_IF_EXISTS; 442using ::fdimf _LIBCPP_USING_IF_EXISTS; 443using ::fmaf _LIBCPP_USING_IF_EXISTS; 444using ::fma _LIBCPP_USING_IF_EXISTS; 445using ::fmax _LIBCPP_USING_IF_EXISTS; 446using ::fmaxf _LIBCPP_USING_IF_EXISTS; 447using ::fmin _LIBCPP_USING_IF_EXISTS; 448using ::fminf _LIBCPP_USING_IF_EXISTS; 449using ::hypot _LIBCPP_USING_IF_EXISTS; 450using ::hypotf _LIBCPP_USING_IF_EXISTS; 451using ::ilogb _LIBCPP_USING_IF_EXISTS; 452using ::ilogbf _LIBCPP_USING_IF_EXISTS; 453using ::lgamma _LIBCPP_USING_IF_EXISTS; 454using ::lgammaf _LIBCPP_USING_IF_EXISTS; 455using ::llrint _LIBCPP_USING_IF_EXISTS; 456using ::llrintf _LIBCPP_USING_IF_EXISTS; 457using ::llround _LIBCPP_USING_IF_EXISTS; 458using ::llroundf _LIBCPP_USING_IF_EXISTS; 459using ::log1p _LIBCPP_USING_IF_EXISTS; 460using ::log1pf _LIBCPP_USING_IF_EXISTS; 461using ::log2 _LIBCPP_USING_IF_EXISTS; 462using ::log2f _LIBCPP_USING_IF_EXISTS; 463using ::logb _LIBCPP_USING_IF_EXISTS; 464using ::logbf _LIBCPP_USING_IF_EXISTS; 465using ::lrint _LIBCPP_USING_IF_EXISTS; 466using ::lrintf _LIBCPP_USING_IF_EXISTS; 467using ::lround _LIBCPP_USING_IF_EXISTS; 468using ::lroundf _LIBCPP_USING_IF_EXISTS; 469 470using ::nan _LIBCPP_USING_IF_EXISTS; 471using ::nanf _LIBCPP_USING_IF_EXISTS; 472 473using ::nearbyint _LIBCPP_USING_IF_EXISTS; 474using ::nearbyintf _LIBCPP_USING_IF_EXISTS; 475using ::nextafter _LIBCPP_USING_IF_EXISTS; 476using ::nextafterf _LIBCPP_USING_IF_EXISTS; 477using ::nexttoward _LIBCPP_USING_IF_EXISTS; 478using ::nexttowardf _LIBCPP_USING_IF_EXISTS; 479using ::remainder _LIBCPP_USING_IF_EXISTS; 480using ::remainderf _LIBCPP_USING_IF_EXISTS; 481using ::remquo _LIBCPP_USING_IF_EXISTS; 482using ::remquof _LIBCPP_USING_IF_EXISTS; 483using ::rint _LIBCPP_USING_IF_EXISTS; 484using ::rintf _LIBCPP_USING_IF_EXISTS; 485using ::round _LIBCPP_USING_IF_EXISTS; 486using ::roundf _LIBCPP_USING_IF_EXISTS; 487using ::scalbln _LIBCPP_USING_IF_EXISTS; 488using ::scalblnf _LIBCPP_USING_IF_EXISTS; 489using ::scalbn _LIBCPP_USING_IF_EXISTS; 490using ::scalbnf _LIBCPP_USING_IF_EXISTS; 491using ::tgamma _LIBCPP_USING_IF_EXISTS; 492using ::tgammaf _LIBCPP_USING_IF_EXISTS; 493using ::trunc _LIBCPP_USING_IF_EXISTS; 494using ::truncf _LIBCPP_USING_IF_EXISTS; 495 496using ::acosl _LIBCPP_USING_IF_EXISTS; 497using ::asinl _LIBCPP_USING_IF_EXISTS; 498using ::atanl _LIBCPP_USING_IF_EXISTS; 499using ::atan2l _LIBCPP_USING_IF_EXISTS; 500using ::ceill _LIBCPP_USING_IF_EXISTS; 501using ::cosl _LIBCPP_USING_IF_EXISTS; 502using ::coshl _LIBCPP_USING_IF_EXISTS; 503using ::expl _LIBCPP_USING_IF_EXISTS; 504using ::fabsl _LIBCPP_USING_IF_EXISTS; 505using ::floorl _LIBCPP_USING_IF_EXISTS; 506using ::fmodl _LIBCPP_USING_IF_EXISTS; 507using ::frexpl _LIBCPP_USING_IF_EXISTS; 508using ::ldexpl _LIBCPP_USING_IF_EXISTS; 509using ::logl _LIBCPP_USING_IF_EXISTS; 510using ::log10l _LIBCPP_USING_IF_EXISTS; 511using ::modfl _LIBCPP_USING_IF_EXISTS; 512using ::powl _LIBCPP_USING_IF_EXISTS; 513using ::sinl _LIBCPP_USING_IF_EXISTS; 514using ::sinhl _LIBCPP_USING_IF_EXISTS; 515using ::sqrtl _LIBCPP_USING_IF_EXISTS; 516using ::tanl _LIBCPP_USING_IF_EXISTS; 517 518using ::tanhl _LIBCPP_USING_IF_EXISTS; 519using ::acoshl _LIBCPP_USING_IF_EXISTS; 520using ::asinhl _LIBCPP_USING_IF_EXISTS; 521using ::atanhl _LIBCPP_USING_IF_EXISTS; 522using ::cbrtl _LIBCPP_USING_IF_EXISTS; 523 524using ::copysignl _LIBCPP_USING_IF_EXISTS; 525 526using ::erfl _LIBCPP_USING_IF_EXISTS; 527using ::erfcl _LIBCPP_USING_IF_EXISTS; 528using ::exp2l _LIBCPP_USING_IF_EXISTS; 529using ::expm1l _LIBCPP_USING_IF_EXISTS; 530using ::fdiml _LIBCPP_USING_IF_EXISTS; 531using ::fmal _LIBCPP_USING_IF_EXISTS; 532using ::fmaxl _LIBCPP_USING_IF_EXISTS; 533using ::fminl _LIBCPP_USING_IF_EXISTS; 534using ::hypotl _LIBCPP_USING_IF_EXISTS; 535using ::ilogbl _LIBCPP_USING_IF_EXISTS; 536using ::lgammal _LIBCPP_USING_IF_EXISTS; 537using ::llrintl _LIBCPP_USING_IF_EXISTS; 538using ::llroundl _LIBCPP_USING_IF_EXISTS; 539using ::log1pl _LIBCPP_USING_IF_EXISTS; 540using ::log2l _LIBCPP_USING_IF_EXISTS; 541using ::logbl _LIBCPP_USING_IF_EXISTS; 542using ::lrintl _LIBCPP_USING_IF_EXISTS; 543using ::lroundl _LIBCPP_USING_IF_EXISTS; 544using ::nanl _LIBCPP_USING_IF_EXISTS; 545using ::nearbyintl _LIBCPP_USING_IF_EXISTS; 546using ::nextafterl _LIBCPP_USING_IF_EXISTS; 547using ::nexttowardl _LIBCPP_USING_IF_EXISTS; 548using ::remainderl _LIBCPP_USING_IF_EXISTS; 549using ::remquol _LIBCPP_USING_IF_EXISTS; 550using ::rintl _LIBCPP_USING_IF_EXISTS; 551using ::roundl _LIBCPP_USING_IF_EXISTS; 552using ::scalblnl _LIBCPP_USING_IF_EXISTS; 553using ::scalbnl _LIBCPP_USING_IF_EXISTS; 554using ::tgammal _LIBCPP_USING_IF_EXISTS; 555using ::truncl _LIBCPP_USING_IF_EXISTS; 556 557template <class _A1, __enable_if_t<is_floating_point<_A1>::value, int> = 0> 558_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isnan(_A1 __lcpp_x) _NOEXCEPT { 559#if __has_builtin(__builtin_isnan) 560 return __builtin_isnan(__lcpp_x); 561#else 562 return isnan(__lcpp_x); 563#endif 564} 565 566template <class _A1, __enable_if_t<!is_floating_point<_A1>::value, int> = 0> 567_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isnan(_A1 __lcpp_x) _NOEXCEPT { 568 return std::isnan(__lcpp_x); 569} 570 571template <class _A1, __enable_if_t<is_floating_point<_A1>::value, int> = 0> 572_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isinf(_A1 __lcpp_x) _NOEXCEPT { 573#if __has_builtin(__builtin_isinf) 574 return __builtin_isinf(__lcpp_x); 575#else 576 return isinf(__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_isinf(_A1 __lcpp_x) _NOEXCEPT { 582 return std::isinf(__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_isfinite(_A1 __lcpp_x) _NOEXCEPT { 587#if __has_builtin(__builtin_isfinite) 588 return __builtin_isfinite(__lcpp_x); 589#else 590 return isfinite(__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_isfinite(_A1 __lcpp_x) _NOEXCEPT { 596 return __builtin_isfinite(__lcpp_x); 597} 598 599#if _LIBCPP_STD_VER >= 20 600template <typename _Fp> 601_LIBCPP_HIDE_FROM_ABI constexpr _Fp __lerp(_Fp __a, _Fp __b, _Fp __t) noexcept { 602 if ((__a <= 0 && __b >= 0) || (__a >= 0 && __b <= 0)) 603 return __t * __b + (1 - __t) * __a; 604 605 if (__t == 1) 606 return __b; 607 const _Fp __x = __a + __t * (__b - __a); 608 if ((__t > 1) == (__b > __a)) 609 return __b < __x ? __x : __b; 610 else 611 return __x < __b ? __x : __b; 612} 613 614_LIBCPP_HIDE_FROM_ABI inline constexpr float lerp(float __a, float __b, float __t) _NOEXCEPT { 615 return __lerp(__a, __b, __t); 616} 617 618_LIBCPP_HIDE_FROM_ABI inline constexpr double lerp(double __a, double __b, double __t) _NOEXCEPT { 619 return __lerp(__a, __b, __t); 620} 621 622_LIBCPP_HIDE_FROM_ABI inline constexpr long double lerp(long double __a, long double __b, long double __t) _NOEXCEPT { 623 return __lerp(__a, __b, __t); 624} 625 626template <class _A1, class _A2, class _A3> 627inline _LIBCPP_HIDE_FROM_ABI constexpr 628 typename enable_if_t< is_arithmetic<_A1>::value && is_arithmetic<_A2>::value && is_arithmetic<_A3>::value, 629 __promote<_A1, _A2, _A3> >::type 630 lerp(_A1 __a, _A2 __b, _A3 __t) noexcept { 631 typedef typename __promote<_A1, _A2, _A3>::type __result_type; 632 static_assert(!( 633 _IsSame<_A1, __result_type>::value && _IsSame<_A2, __result_type>::value && _IsSame<_A3, __result_type>::value)); 634 return std::__lerp((__result_type)__a, (__result_type)__b, (__result_type)__t); 635} 636#endif // _LIBCPP_STD_VER >= 20 637 638_LIBCPP_END_NAMESPACE_STD 639 640_LIBCPP_POP_MACROS 641 642#if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20 643# include <type_traits> 644#endif 645 646#endif // _LIBCPP_CMATH 647