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 <__assert> // all public C++ headers provide the assertion handler 308#include <__config> 309#include <math.h> 310#include <type_traits> 311#include <version> 312 313#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 314# pragma GCC system_header 315#endif 316 317_LIBCPP_PUSH_MACROS 318#include <__undef_macros> 319 320_LIBCPP_BEGIN_NAMESPACE_STD 321 322using ::signbit _LIBCPP_USING_IF_EXISTS; 323using ::fpclassify _LIBCPP_USING_IF_EXISTS; 324using ::isfinite _LIBCPP_USING_IF_EXISTS; 325using ::isinf _LIBCPP_USING_IF_EXISTS; 326using ::isnan _LIBCPP_USING_IF_EXISTS; 327using ::isnormal _LIBCPP_USING_IF_EXISTS; 328using ::isgreater _LIBCPP_USING_IF_EXISTS; 329using ::isgreaterequal _LIBCPP_USING_IF_EXISTS; 330using ::isless _LIBCPP_USING_IF_EXISTS; 331using ::islessequal _LIBCPP_USING_IF_EXISTS; 332using ::islessgreater _LIBCPP_USING_IF_EXISTS; 333using ::isunordered _LIBCPP_USING_IF_EXISTS; 334using ::isunordered _LIBCPP_USING_IF_EXISTS; 335 336using ::float_t _LIBCPP_USING_IF_EXISTS; 337using ::double_t _LIBCPP_USING_IF_EXISTS; 338 339using ::abs _LIBCPP_USING_IF_EXISTS; 340 341using ::acos _LIBCPP_USING_IF_EXISTS; 342using ::acosf _LIBCPP_USING_IF_EXISTS; 343using ::asin _LIBCPP_USING_IF_EXISTS; 344using ::asinf _LIBCPP_USING_IF_EXISTS; 345using ::atan _LIBCPP_USING_IF_EXISTS; 346using ::atanf _LIBCPP_USING_IF_EXISTS; 347using ::atan2 _LIBCPP_USING_IF_EXISTS; 348using ::atan2f _LIBCPP_USING_IF_EXISTS; 349using ::ceil _LIBCPP_USING_IF_EXISTS; 350using ::ceilf _LIBCPP_USING_IF_EXISTS; 351using ::cos _LIBCPP_USING_IF_EXISTS; 352using ::cosf _LIBCPP_USING_IF_EXISTS; 353using ::cosh _LIBCPP_USING_IF_EXISTS; 354using ::coshf _LIBCPP_USING_IF_EXISTS; 355 356using ::exp _LIBCPP_USING_IF_EXISTS; 357using ::expf _LIBCPP_USING_IF_EXISTS; 358 359using ::fabs _LIBCPP_USING_IF_EXISTS; 360using ::fabsf _LIBCPP_USING_IF_EXISTS; 361using ::floor _LIBCPP_USING_IF_EXISTS; 362using ::floorf _LIBCPP_USING_IF_EXISTS; 363 364using ::fmod _LIBCPP_USING_IF_EXISTS; 365using ::fmodf _LIBCPP_USING_IF_EXISTS; 366 367using ::frexp _LIBCPP_USING_IF_EXISTS; 368using ::frexpf _LIBCPP_USING_IF_EXISTS; 369using ::ldexp _LIBCPP_USING_IF_EXISTS; 370using ::ldexpf _LIBCPP_USING_IF_EXISTS; 371 372using ::log _LIBCPP_USING_IF_EXISTS; 373using ::logf _LIBCPP_USING_IF_EXISTS; 374 375using ::log10 _LIBCPP_USING_IF_EXISTS; 376using ::log10f _LIBCPP_USING_IF_EXISTS; 377using ::modf _LIBCPP_USING_IF_EXISTS; 378using ::modff _LIBCPP_USING_IF_EXISTS; 379 380using ::pow _LIBCPP_USING_IF_EXISTS; 381using ::powf _LIBCPP_USING_IF_EXISTS; 382 383using ::sin _LIBCPP_USING_IF_EXISTS; 384using ::sinf _LIBCPP_USING_IF_EXISTS; 385using ::sinh _LIBCPP_USING_IF_EXISTS; 386using ::sinhf _LIBCPP_USING_IF_EXISTS; 387 388using ::sqrt _LIBCPP_USING_IF_EXISTS; 389using ::sqrtf _LIBCPP_USING_IF_EXISTS; 390using ::tan _LIBCPP_USING_IF_EXISTS; 391using ::tanf _LIBCPP_USING_IF_EXISTS; 392 393using ::tanh _LIBCPP_USING_IF_EXISTS; 394using ::tanhf _LIBCPP_USING_IF_EXISTS; 395 396using ::acosh _LIBCPP_USING_IF_EXISTS; 397using ::acoshf _LIBCPP_USING_IF_EXISTS; 398using ::asinh _LIBCPP_USING_IF_EXISTS; 399using ::asinhf _LIBCPP_USING_IF_EXISTS; 400using ::atanh _LIBCPP_USING_IF_EXISTS; 401using ::atanhf _LIBCPP_USING_IF_EXISTS; 402using ::cbrt _LIBCPP_USING_IF_EXISTS; 403using ::cbrtf _LIBCPP_USING_IF_EXISTS; 404 405using ::copysign _LIBCPP_USING_IF_EXISTS; 406using ::copysignf _LIBCPP_USING_IF_EXISTS; 407 408using ::erf _LIBCPP_USING_IF_EXISTS; 409using ::erff _LIBCPP_USING_IF_EXISTS; 410using ::erfc _LIBCPP_USING_IF_EXISTS; 411using ::erfcf _LIBCPP_USING_IF_EXISTS; 412using ::exp2 _LIBCPP_USING_IF_EXISTS; 413using ::exp2f _LIBCPP_USING_IF_EXISTS; 414using ::expm1 _LIBCPP_USING_IF_EXISTS; 415using ::expm1f _LIBCPP_USING_IF_EXISTS; 416using ::fdim _LIBCPP_USING_IF_EXISTS; 417using ::fdimf _LIBCPP_USING_IF_EXISTS; 418using ::fmaf _LIBCPP_USING_IF_EXISTS; 419using ::fma _LIBCPP_USING_IF_EXISTS; 420using ::fmax _LIBCPP_USING_IF_EXISTS; 421using ::fmaxf _LIBCPP_USING_IF_EXISTS; 422using ::fmin _LIBCPP_USING_IF_EXISTS; 423using ::fminf _LIBCPP_USING_IF_EXISTS; 424using ::hypot _LIBCPP_USING_IF_EXISTS; 425using ::hypotf _LIBCPP_USING_IF_EXISTS; 426using ::ilogb _LIBCPP_USING_IF_EXISTS; 427using ::ilogbf _LIBCPP_USING_IF_EXISTS; 428using ::lgamma _LIBCPP_USING_IF_EXISTS; 429using ::lgammaf _LIBCPP_USING_IF_EXISTS; 430using ::llrint _LIBCPP_USING_IF_EXISTS; 431using ::llrintf _LIBCPP_USING_IF_EXISTS; 432using ::llround _LIBCPP_USING_IF_EXISTS; 433using ::llroundf _LIBCPP_USING_IF_EXISTS; 434using ::log1p _LIBCPP_USING_IF_EXISTS; 435using ::log1pf _LIBCPP_USING_IF_EXISTS; 436using ::log2 _LIBCPP_USING_IF_EXISTS; 437using ::log2f _LIBCPP_USING_IF_EXISTS; 438using ::logb _LIBCPP_USING_IF_EXISTS; 439using ::logbf _LIBCPP_USING_IF_EXISTS; 440using ::lrint _LIBCPP_USING_IF_EXISTS; 441using ::lrintf _LIBCPP_USING_IF_EXISTS; 442using ::lround _LIBCPP_USING_IF_EXISTS; 443using ::lroundf _LIBCPP_USING_IF_EXISTS; 444 445using ::nan _LIBCPP_USING_IF_EXISTS; 446using ::nanf _LIBCPP_USING_IF_EXISTS; 447 448using ::nearbyint _LIBCPP_USING_IF_EXISTS; 449using ::nearbyintf _LIBCPP_USING_IF_EXISTS; 450using ::nextafter _LIBCPP_USING_IF_EXISTS; 451using ::nextafterf _LIBCPP_USING_IF_EXISTS; 452using ::nexttoward _LIBCPP_USING_IF_EXISTS; 453using ::nexttowardf _LIBCPP_USING_IF_EXISTS; 454using ::remainder _LIBCPP_USING_IF_EXISTS; 455using ::remainderf _LIBCPP_USING_IF_EXISTS; 456using ::remquo _LIBCPP_USING_IF_EXISTS; 457using ::remquof _LIBCPP_USING_IF_EXISTS; 458using ::rint _LIBCPP_USING_IF_EXISTS; 459using ::rintf _LIBCPP_USING_IF_EXISTS; 460using ::round _LIBCPP_USING_IF_EXISTS; 461using ::roundf _LIBCPP_USING_IF_EXISTS; 462using ::scalbln _LIBCPP_USING_IF_EXISTS; 463using ::scalblnf _LIBCPP_USING_IF_EXISTS; 464using ::scalbn _LIBCPP_USING_IF_EXISTS; 465using ::scalbnf _LIBCPP_USING_IF_EXISTS; 466using ::tgamma _LIBCPP_USING_IF_EXISTS; 467using ::tgammaf _LIBCPP_USING_IF_EXISTS; 468using ::trunc _LIBCPP_USING_IF_EXISTS; 469using ::truncf _LIBCPP_USING_IF_EXISTS; 470 471using ::acosl _LIBCPP_USING_IF_EXISTS; 472using ::asinl _LIBCPP_USING_IF_EXISTS; 473using ::atanl _LIBCPP_USING_IF_EXISTS; 474using ::atan2l _LIBCPP_USING_IF_EXISTS; 475using ::ceill _LIBCPP_USING_IF_EXISTS; 476using ::cosl _LIBCPP_USING_IF_EXISTS; 477using ::coshl _LIBCPP_USING_IF_EXISTS; 478using ::expl _LIBCPP_USING_IF_EXISTS; 479using ::fabsl _LIBCPP_USING_IF_EXISTS; 480using ::floorl _LIBCPP_USING_IF_EXISTS; 481using ::fmodl _LIBCPP_USING_IF_EXISTS; 482using ::frexpl _LIBCPP_USING_IF_EXISTS; 483using ::ldexpl _LIBCPP_USING_IF_EXISTS; 484using ::logl _LIBCPP_USING_IF_EXISTS; 485using ::log10l _LIBCPP_USING_IF_EXISTS; 486using ::modfl _LIBCPP_USING_IF_EXISTS; 487using ::powl _LIBCPP_USING_IF_EXISTS; 488using ::sinl _LIBCPP_USING_IF_EXISTS; 489using ::sinhl _LIBCPP_USING_IF_EXISTS; 490using ::sqrtl _LIBCPP_USING_IF_EXISTS; 491using ::tanl _LIBCPP_USING_IF_EXISTS; 492 493using ::tanhl _LIBCPP_USING_IF_EXISTS; 494using ::acoshl _LIBCPP_USING_IF_EXISTS; 495using ::asinhl _LIBCPP_USING_IF_EXISTS; 496using ::atanhl _LIBCPP_USING_IF_EXISTS; 497using ::cbrtl _LIBCPP_USING_IF_EXISTS; 498 499using ::copysignl _LIBCPP_USING_IF_EXISTS; 500 501using ::erfl _LIBCPP_USING_IF_EXISTS; 502using ::erfcl _LIBCPP_USING_IF_EXISTS; 503using ::exp2l _LIBCPP_USING_IF_EXISTS; 504using ::expm1l _LIBCPP_USING_IF_EXISTS; 505using ::fdiml _LIBCPP_USING_IF_EXISTS; 506using ::fmal _LIBCPP_USING_IF_EXISTS; 507using ::fmaxl _LIBCPP_USING_IF_EXISTS; 508using ::fminl _LIBCPP_USING_IF_EXISTS; 509using ::hypotl _LIBCPP_USING_IF_EXISTS; 510using ::ilogbl _LIBCPP_USING_IF_EXISTS; 511using ::lgammal _LIBCPP_USING_IF_EXISTS; 512using ::llrintl _LIBCPP_USING_IF_EXISTS; 513using ::llroundl _LIBCPP_USING_IF_EXISTS; 514using ::log1pl _LIBCPP_USING_IF_EXISTS; 515using ::log2l _LIBCPP_USING_IF_EXISTS; 516using ::logbl _LIBCPP_USING_IF_EXISTS; 517using ::lrintl _LIBCPP_USING_IF_EXISTS; 518using ::lroundl _LIBCPP_USING_IF_EXISTS; 519using ::nanl _LIBCPP_USING_IF_EXISTS; 520using ::nearbyintl _LIBCPP_USING_IF_EXISTS; 521using ::nextafterl _LIBCPP_USING_IF_EXISTS; 522using ::nexttowardl _LIBCPP_USING_IF_EXISTS; 523using ::remainderl _LIBCPP_USING_IF_EXISTS; 524using ::remquol _LIBCPP_USING_IF_EXISTS; 525using ::rintl _LIBCPP_USING_IF_EXISTS; 526using ::roundl _LIBCPP_USING_IF_EXISTS; 527using ::scalblnl _LIBCPP_USING_IF_EXISTS; 528using ::scalbnl _LIBCPP_USING_IF_EXISTS; 529using ::tgammal _LIBCPP_USING_IF_EXISTS; 530using ::truncl _LIBCPP_USING_IF_EXISTS; 531 532#if _LIBCPP_STD_VER > 14 533inline _LIBCPP_INLINE_VISIBILITY float hypot( float __x, float __y, float __z ) { return sqrt(__x*__x + __y*__y + __z*__z); } 534inline _LIBCPP_INLINE_VISIBILITY double hypot( double __x, double __y, double __z ) { return sqrt(__x*__x + __y*__y + __z*__z); } 535inline _LIBCPP_INLINE_VISIBILITY long double hypot( long double __x, long double __y, long double __z ) { return sqrt(__x*__x + __y*__y + __z*__z); } 536 537template <class _A1, class _A2, class _A3> 538inline _LIBCPP_INLINE_VISIBILITY 539typename enable_if_t 540< 541 is_arithmetic<_A1>::value && 542 is_arithmetic<_A2>::value && 543 is_arithmetic<_A3>::value, 544 __promote<_A1, _A2, _A3> 545>::type 546hypot(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT 547{ 548 typedef typename __promote<_A1, _A2, _A3>::type __result_type; 549 static_assert((!(is_same<_A1, __result_type>::value && 550 is_same<_A2, __result_type>::value && 551 is_same<_A3, __result_type>::value)), ""); 552 return hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z); 553} 554#endif 555 556template <class _A1> 557_LIBCPP_INLINE_VISIBILITY 558_LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type 559__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT 560{ 561#if __has_builtin(__builtin_isnan) 562 return __builtin_isnan(__lcpp_x); 563#else 564 return isnan(__lcpp_x); 565#endif 566} 567 568template <class _A1> 569_LIBCPP_INLINE_VISIBILITY 570_LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type 571__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT 572{ 573 return isnan(__lcpp_x); 574} 575 576template <class _A1> 577_LIBCPP_INLINE_VISIBILITY 578_LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type 579__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT 580{ 581#if __has_builtin(__builtin_isinf) 582 return __builtin_isinf(__lcpp_x); 583#else 584 return isinf(__lcpp_x); 585#endif 586} 587 588template <class _A1> 589_LIBCPP_INLINE_VISIBILITY 590_LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type 591__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT 592{ 593 return isinf(__lcpp_x); 594} 595 596template <class _A1> 597_LIBCPP_INLINE_VISIBILITY 598_LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type 599__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT 600{ 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> 609_LIBCPP_INLINE_VISIBILITY 610_LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type 611__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT 612{ 613 return isfinite(__lcpp_x); 614} 615 616#if _LIBCPP_STD_VER > 17 617template <typename _Fp> 618constexpr 619_Fp __lerp(_Fp __a, _Fp __b, _Fp __t) noexcept { 620 if ((__a <= 0 && __b >= 0) || (__a >= 0 && __b <= 0)) 621 return __t * __b + (1 - __t) * __a; 622 623 if (__t == 1) return __b; 624 const _Fp __x = __a + __t * (__b - __a); 625 if ((__t > 1) == (__b > __a)) 626 return __b < __x ? __x : __b; 627 else 628 return __x < __b ? __x : __b; 629} 630 631constexpr float 632lerp(float __a, float __b, float __t) _NOEXCEPT { return __lerp(__a, __b, __t); } 633 634constexpr double 635lerp(double __a, double __b, double __t) _NOEXCEPT { return __lerp(__a, __b, __t); } 636 637constexpr long double 638lerp(long double __a, long double __b, long double __t) _NOEXCEPT { return __lerp(__a, __b, __t); } 639 640template <class _A1, class _A2, class _A3> 641inline _LIBCPP_HIDE_FROM_ABI 642constexpr typename enable_if_t 643< 644 is_arithmetic<_A1>::value && 645 is_arithmetic<_A2>::value && 646 is_arithmetic<_A3>::value, 647 __promote<_A1, _A2, _A3> 648>::type 649lerp(_A1 __a, _A2 __b, _A3 __t) noexcept 650{ 651 typedef typename __promote<_A1, _A2, _A3>::type __result_type; 652 static_assert(!(_IsSame<_A1, __result_type>::value && 653 _IsSame<_A2, __result_type>::value && 654 _IsSame<_A3, __result_type>::value)); 655 return __lerp((__result_type)__a, (__result_type)__b, (__result_type)__t); 656} 657#endif // _LIBCPP_STD_VER > 17 658 659_LIBCPP_END_NAMESPACE_STD 660 661_LIBCPP_POP_MACROS 662 663#endif // _LIBCPP_CMATH 664