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authorRichard Qin <richard.qin.x@gmail.com>2026-07-11 22:48:30 +0800
committerRichard Qin <richard.qin.x@gmail.com>2026-07-11 22:48:30 +0800
commit3ad39e9878310e5317ee73c9b353c1e2c1c5c4ee (patch)
tree4bd5a49ef60ad1e371c0984cd46838368c5ef83a /third_party/libcxx/include/c++/v1/math.h
parent48ef95c24e9ac3d11200b61af617a01b10b507d1 (diff)
downloadlume-3ad39e9878310e5317ee73c9b353c1e2c1c5c4ee.tar.gz
lume-3ad39e9878310e5317ee73c9b353c1e2c1c5c4ee.tar.xz
lib: establish Zircon libc++ and KTL foundation
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+// -*- C++ -*-
+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP_MATH_H
+# define _LIBCPP_MATH_H
+
+/*
+ math.h synopsis
+
+Macros:
+
+ HUGE_VAL
+ HUGE_VALF // C99
+ HUGE_VALL // C99
+ INFINITY // C99
+ NAN // C99
+ FP_INFINITE // C99
+ FP_NAN // C99
+ FP_NORMAL // C99
+ FP_SUBNORMAL // C99
+ FP_ZERO // C99
+ FP_FAST_FMA // C99
+ FP_FAST_FMAF // C99
+ FP_FAST_FMAL // C99
+ FP_ILOGB0 // C99
+ FP_ILOGBNAN // C99
+ MATH_ERRNO // C99
+ MATH_ERREXCEPT // C99
+ math_errhandling // C99
+
+Types:
+
+ float_t // C99
+ double_t // C99
+
+// C90
+
+floating_point abs(floating_point x);
+
+floating_point acos (arithmetic x);
+float acosf(float x);
+long double acosl(long double x);
+
+floating_point asin (arithmetic x);
+float asinf(float x);
+long double asinl(long double x);
+
+floating_point atan (arithmetic x);
+float atanf(float x);
+long double atanl(long double x);
+
+floating_point atan2 (arithmetic y, arithmetic x);
+float atan2f(float y, float x);
+long double atan2l(long double y, long double x);
+
+floating_point ceil (arithmetic x);
+float ceilf(float x);
+long double ceill(long double x);
+
+floating_point cos (arithmetic x);
+float cosf(float x);
+long double cosl(long double x);
+
+floating_point cosh (arithmetic x);
+float coshf(float x);
+long double coshl(long double x);
+
+floating_point exp (arithmetic x);
+float expf(float x);
+long double expl(long double x);
+
+floating_point fabs (arithmetic x);
+float fabsf(float x);
+long double fabsl(long double x);
+
+floating_point floor (arithmetic x);
+float floorf(float x);
+long double floorl(long double x);
+
+floating_point fmod (arithmetic x, arithmetic y);
+float fmodf(float x, float y);
+long double fmodl(long double x, long double y);
+
+floating_point frexp (arithmetic value, int* exp);
+float frexpf(float value, int* exp);
+long double frexpl(long double value, int* exp);
+
+floating_point ldexp (arithmetic value, int exp);
+float ldexpf(float value, int exp);
+long double ldexpl(long double value, int exp);
+
+floating_point log (arithmetic x);
+float logf(float x);
+long double logl(long double x);
+
+floating_point log10 (arithmetic x);
+float log10f(float x);
+long double log10l(long double x);
+
+floating_point modf (floating_point value, floating_point* iptr);
+float modff(float value, float* iptr);
+long double modfl(long double value, long double* iptr);
+
+floating_point pow (arithmetic x, arithmetic y);
+float powf(float x, float y);
+long double powl(long double x, long double y);
+
+floating_point sin (arithmetic x);
+float sinf(float x);
+long double sinl(long double x);
+
+floating_point sinh (arithmetic x);
+float sinhf(float x);
+long double sinhl(long double x);
+
+floating_point sqrt (arithmetic x);
+float sqrtf(float x);
+long double sqrtl(long double x);
+
+floating_point tan (arithmetic x);
+float tanf(float x);
+long double tanl(long double x);
+
+floating_point tanh (arithmetic x);
+float tanhf(float x);
+long double tanhl(long double x);
+
+// C99
+
+bool signbit(arithmetic x);
+
+int fpclassify(arithmetic x);
+
+bool isfinite(arithmetic x);
+bool isinf(arithmetic x);
+bool isnan(arithmetic x);
+bool isnormal(arithmetic x);
+
+bool isgreater(arithmetic x, arithmetic y);
+bool isgreaterequal(arithmetic x, arithmetic y);
+bool isless(arithmetic x, arithmetic y);
+bool islessequal(arithmetic x, arithmetic y);
+bool islessgreater(arithmetic x, arithmetic y);
+bool isunordered(arithmetic x, arithmetic y);
+
+floating_point acosh (arithmetic x);
+float acoshf(float x);
+long double acoshl(long double x);
+
+floating_point asinh (arithmetic x);
+float asinhf(float x);
+long double asinhl(long double x);
+
+floating_point atanh (arithmetic x);
+float atanhf(float x);
+long double atanhl(long double x);
+
+floating_point cbrt (arithmetic x);
+float cbrtf(float x);
+long double cbrtl(long double x);
+
+floating_point copysign (arithmetic x, arithmetic y);
+float copysignf(float x, float y);
+long double copysignl(long double x, long double y);
+
+floating_point erf (arithmetic x);
+float erff(float x);
+long double erfl(long double x);
+
+floating_point erfc (arithmetic x);
+float erfcf(float x);
+long double erfcl(long double x);
+
+floating_point exp2 (arithmetic x);
+float exp2f(float x);
+long double exp2l(long double x);
+
+floating_point expm1 (arithmetic x);
+float expm1f(float x);
+long double expm1l(long double x);
+
+floating_point fdim (arithmetic x, arithmetic y);
+float fdimf(float x, float y);
+long double fdiml(long double x, long double y);
+
+floating_point fma (arithmetic x, arithmetic y, arithmetic z);
+float fmaf(float x, float y, float z);
+long double fmal(long double x, long double y, long double z);
+
+floating_point fmax (arithmetic x, arithmetic y);
+float fmaxf(float x, float y);
+long double fmaxl(long double x, long double y);
+
+floating_point fmin (arithmetic x, arithmetic y);
+float fminf(float x, float y);
+long double fminl(long double x, long double y);
+
+floating_point hypot (arithmetic x, arithmetic y);
+float hypotf(float x, float y);
+long double hypotl(long double x, long double y);
+
+int ilogb (arithmetic x);
+int ilogbf(float x);
+int ilogbl(long double x);
+
+floating_point lgamma (arithmetic x);
+float lgammaf(float x);
+long double lgammal(long double x);
+
+long long llrint (arithmetic x);
+long long llrintf(float x);
+long long llrintl(long double x);
+
+long long llround (arithmetic x);
+long long llroundf(float x);
+long long llroundl(long double x);
+
+floating_point log1p (arithmetic x);
+float log1pf(float x);
+long double log1pl(long double x);
+
+floating_point log2 (arithmetic x);
+float log2f(float x);
+long double log2l(long double x);
+
+floating_point logb (arithmetic x);
+float logbf(float x);
+long double logbl(long double x);
+
+long lrint (arithmetic x);
+long lrintf(float x);
+long lrintl(long double x);
+
+long lround (arithmetic x);
+long lroundf(float x);
+long lroundl(long double x);
+
+double nan (const char* str);
+float nanf(const char* str);
+long double nanl(const char* str);
+
+floating_point nearbyint (arithmetic x);
+float nearbyintf(float x);
+long double nearbyintl(long double x);
+
+floating_point nextafter (arithmetic x, arithmetic y);
+float nextafterf(float x, float y);
+long double nextafterl(long double x, long double y);
+
+floating_point nexttoward (arithmetic x, long double y);
+float nexttowardf(float x, long double y);
+long double nexttowardl(long double x, long double y);
+
+floating_point remainder (arithmetic x, arithmetic y);
+float remainderf(float x, float y);
+long double remainderl(long double x, long double y);
+
+floating_point remquo (arithmetic x, arithmetic y, int* pquo);
+float remquof(float x, float y, int* pquo);
+long double remquol(long double x, long double y, int* pquo);
+
+floating_point rint (arithmetic x);
+float rintf(float x);
+long double rintl(long double x);
+
+floating_point round (arithmetic x);
+float roundf(float x);
+long double roundl(long double x);
+
+floating_point scalbln (arithmetic x, long ex);
+float scalblnf(float x, long ex);
+long double scalblnl(long double x, long ex);
+
+floating_point scalbn (arithmetic x, int ex);
+float scalbnf(float x, int ex);
+long double scalbnl(long double x, int ex);
+
+floating_point tgamma (arithmetic x);
+float tgammaf(float x);
+long double tgammal(long double x);
+
+floating_point trunc (arithmetic x);
+float truncf(float x);
+long double truncl(long double x);
+
+*/
+
+# if defined(__cplusplus) && __cplusplus < 201103L && defined(_LIBCPP_USE_FROZEN_CXX03_HEADERS)
+# include <__cxx03/math.h>
+# else
+# include <__config>
+
+# if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+# pragma GCC system_header
+# endif
+
+# if __has_include_next(<math.h>)
+# include_next <math.h>
+# endif
+
+# ifdef __cplusplus
+
+// We support including .h headers inside 'extern "C"' contexts, so switch
+// back to C++ linkage before including these C++ headers.
+extern "C++" {
+
+# ifdef fpclassify
+# undef fpclassify
+# endif
+
+# ifdef signbit
+# undef signbit
+# endif
+
+# ifdef isfinite
+# undef isfinite
+# endif
+
+# ifdef isinf
+# undef isinf
+# endif
+
+# ifdef isnan
+# undef isnan
+# endif
+
+# ifdef isnormal
+# undef isnormal
+# endif
+
+# ifdef isgreater
+# undef isgreater
+# endif
+
+# ifdef isgreaterequal
+# undef isgreaterequal
+# endif
+
+# ifdef isless
+# undef isless
+# endif
+
+# ifdef islessequal
+# undef islessequal
+# endif
+
+# ifdef islessgreater
+# undef islessgreater
+# endif
+
+# ifdef isunordered
+# undef isunordered
+# endif
+
+# include <__math/abs.h>
+# include <__math/copysign.h>
+# include <__math/error_functions.h>
+# include <__math/exponential_functions.h>
+# include <__math/fdim.h>
+# include <__math/fma.h>
+# include <__math/gamma.h>
+# include <__math/hyperbolic_functions.h>
+# include <__math/hypot.h>
+# include <__math/inverse_hyperbolic_functions.h>
+# include <__math/inverse_trigonometric_functions.h>
+# include <__math/logarithms.h>
+# include <__math/min_max.h>
+# include <__math/modulo.h>
+# include <__math/remainder.h>
+# include <__math/roots.h>
+# include <__math/rounding_functions.h>
+# include <__math/traits.h>
+# include <__math/trigonometric_functions.h>
+# include <__type_traits/enable_if.h>
+# include <__type_traits/is_integral.h>
+
+// fpclassify relies on implementation-defined constants, so we can't move it to a detail header
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// fpclassify
+
+// template on non-double overloads to make them weaker than same overloads from MSVC runtime
+template <class = int>
+[[__nodiscard__]] inline _LIBCPP_HIDE_FROM_ABI int fpclassify(float __x) _NOEXCEPT {
+ return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, __x);
+}
+
+template <class = int>
+[[__nodiscard__]] inline _LIBCPP_HIDE_FROM_ABI int fpclassify(double __x) _NOEXCEPT {
+ return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, __x);
+}
+
+template <class = int>
+[[__nodiscard__]] inline _LIBCPP_HIDE_FROM_ABI int fpclassify(long double __x) _NOEXCEPT {
+ return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, __x);
+}
+
+template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
+[[__nodiscard__]] inline _LIBCPP_HIDE_FROM_ABI int fpclassify(_A1 __x) _NOEXCEPT {
+ return __x == 0 ? FP_ZERO : FP_NORMAL;
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+using std::__math::fpclassify;
+using std::__math::signbit;
+
+// The MSVC runtime already provides these functions as templates
+# ifndef _LIBCPP_MSVCRT
+using std::__math::isfinite;
+using std::__math::isgreater;
+using std::__math::isgreaterequal;
+using std::__math::isinf;
+using std::__math::isless;
+using std::__math::islessequal;
+using std::__math::islessgreater;
+using std::__math::isnan;
+using std::__math::isnormal;
+using std::__math::isunordered;
+# endif // _LIBCPP_MSVCRT
+
+# if defined(_LIBCPP_MSVCRT) && _LIBCPP_STD_VER >= 20
+// MS UCRT incorrectly defines some functions in a way not working with integer types. Until C++20, this was worked
+// around by -fdelayed-template-parsing. Since C++20, we can use standard feature "requires" instead.
+
+// TODO: Remove the workaround once UCRT fixes these functions. Note that this doesn't seem planned as of 2025-07 per
+// https://developercommunity.visualstudio.com/t/10294165.
+
+using std::__math::__ucrt::isfinite;
+using std::__math::__ucrt::isgreater;
+using std::__math::__ucrt::isgreaterequal;
+using std::__math::__ucrt::isinf;
+using std::__math::__ucrt::isless;
+using std::__math::__ucrt::islessequal;
+using std::__math::__ucrt::islessgreater;
+using std::__math::__ucrt::isnan;
+using std::__math::__ucrt::isnormal;
+using std::__math::__ucrt::isunordered;
+# endif // defined(_LIBCPP_MSVCRT) && _LIBCPP_STD_VER >= 20
+
+// We have to provide double overloads for <math.h> to work on platforms that don't provide the full set of math
+// functions. To make the overload set work with multiple functions that take the same arguments, we make our overloads
+// templates. Functions are preferred over function templates during overload resolution, which means that our overload
+// will only be selected when the C library doesn't provide one.
+
+using std::__math::abs;
+using std::__math::acos;
+using std::__math::acosh;
+using std::__math::asin;
+using std::__math::asinh;
+using std::__math::atan;
+using std::__math::atan2;
+using std::__math::atanh;
+using std::__math::cbrt;
+using std::__math::ceil;
+using std::__math::copysign;
+using std::__math::cos;
+using std::__math::cosh;
+using std::__math::erf;
+using std::__math::erfc;
+using std::__math::exp;
+using std::__math::exp2;
+using std::__math::expm1;
+using std::__math::fabs;
+using std::__math::fdim;
+using std::__math::floor;
+using std::__math::fma;
+using std::__math::fmax;
+using std::__math::fmin;
+using std::__math::fmod;
+using std::__math::frexp;
+using std::__math::hypot;
+using std::__math::ilogb;
+using std::__math::ldexp;
+using std::__math::lgamma;
+using std::__math::llrint;
+using std::__math::llround;
+using std::__math::log;
+using std::__math::log10;
+using std::__math::log1p;
+using std::__math::log2;
+using std::__math::logb;
+using std::__math::lrint;
+using std::__math::lround;
+using std::__math::modf;
+using std::__math::nearbyint;
+using std::__math::nextafter;
+using std::__math::nexttoward;
+using std::__math::pow;
+using std::__math::remainder;
+using std::__math::remquo;
+using std::__math::rint;
+using std::__math::round;
+using std::__math::scalbln;
+using std::__math::scalbn;
+using std::__math::signbit;
+using std::__math::sin;
+using std::__math::sinh;
+using std::__math::sqrt;
+using std::__math::tan;
+using std::__math::tanh;
+using std::__math::tgamma;
+using std::__math::trunc;
+
+} // extern "C++"
+
+# endif // __cplusplus
+# endif // defined(__cplusplus) && __cplusplus < 201103L && defined(_LIBCPP_USE_FROZEN_CXX03_HEADERS)
+
+#else // _LIBCPP_MATH_H
+
+// This include lives outside the header guard in order to support an MSVC
+// extension which allows users to do:
+//
+// #define _USE_MATH_DEFINES
+// #include <math.h>
+//
+// and receive the definitions of mathematical constants, even if <math.h>
+// has previously been included.
+# if defined(_LIBCPP_MSVCRT) && defined(_USE_MATH_DEFINES)
+# include_next <math.h>
+# endif
+
+#endif // _LIBCPP_MATH_H