Standard library header <cmath>

 

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Language support <cfloat> <climits> <compare>(C++20) <contracts>(C++26) <coroutine>(C++20) <csetjmp> <csignal> <cstdarg> <cstddef> <cstdint>(C++11) <cstdlib> <exception> <initializer_list>(C++11)    <limits> <new> <source_location>(C++20) <stdfloat>(C++23) <typeinfo> <version>(C++20) Concepts <concepts>(C++20) Diagnostics <cassert> <cerrno> <debugging>(C++26) <stacktrace>(C++23) <stdexcept> <system_error>(C++11) Memory management <memory> <memory_resource>(C++17) <scoped_allocator>(C++11) Metaprogramming <type_traits>(C++11) <ratio>(C++11)

General utilities <any>(C++17) <bitset> <bit>(C++20) <charconv>(C++17) <expected>(C++23) <format>(C++20) <functional> <optional>(C++17) <stdbit.h>(C++26) <tuple>(C++11) <typeindex>(C++11) <utility> <variant>(C++17) Containers <array>(C++11) <deque> <flat_map>(C++23) <flat_set>(C++23) <forward_list>(C++11) <hive>(C++26) <inplace_vector>(C++26)    <list> <map> <mdspan>(C++23) <queue> <set> <span>(C++20) <stack> <unordered_map>(C++11) <unordered_set>(C++11) <vector> Iterators <iterator> Ranges <generator>(C++23) <ranges>(C++20)

Algorithms <algorithm> <numeric> Strings <cctype> <cstring> <cuchar>(C++11) <cwchar> <cwctype> <string_view>(C++17) <string> Text processing <clocale> <codecvt>(C++11/17/26*) <locale> <regex>(C++11) <text_encoding>(C++26)    Numerics <cfenv>(C++11) <cmath> <complex> <linalg>(C++26) <numbers>(C++20) <random>(C++11) <simd>(C++26) <stdckdint.h>(C++26) <valarray> Time <chrono>(C++11) <ctime> C compatibility <ccomplex>(C++11/17/20*) <ciso646>(until C++20) <cstdalign>(C++11/17/20*) <cstdbool>(C++11/17/20*) <ctgmath>(C++11/17/20*)

Input/output <cinttypes>(C++11) <cstdio> <filesystem>(C++17) <fstream> <iomanip> <iosfwd> <iostream> <ios> <istream> <ostream> <print>(C++23) <spanstream>(C++23) <sstream> <streambuf> <strstream>(C++98/26*) <syncstream>(C++20) Concurrency support <atomic>(C++11) <barrier>(C++20) <condition_variable>(C++11) <future>(C++11) <hazard_pointer>(C++26) <latch>(C++20) <mutex>(C++11) <rcu>(C++26) <semaphore>(C++20) <shared_mutex>(C++14) <stdatomic.h>(C++23) <stop_token>(C++20) <thread>(C++11) Execution support <execution>(C++17)

 

This header was originally in the C standard library as <math.h>.

This header is part of the numeric library.

Types
float_t (C++11)	most efficient floating-point type at least as wide as float (typedef)
double_t (C++11)	most efficient floating-point type at least as wide as double (typedef)
Macros
HUGE_VALFHUGE_VALHUGE_VALL (C++11)(C++11)	indicates the overflow value for float, double and longdouble respectively (macro constant)
INFINITY (C++11)	evaluates to positive infinity or the value guaranteed to overflow a float (macro constant)
NAN (C++11)	evaluates to a quiet NaN of type float (macro constant)
math_errhandlingMATH_ERRNOMATH_ERREXCEPT (C++11)(C++11)(C++11)	defines the error handling mechanism used by the common mathematical functions (macro constant)
Classification
FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN (C++11)(C++11)(C++11)(C++11)(C++11)	indicates a floating-point category (macro constant)
Functions
Basic operations
abs(float)fabsfabsffabsl (C++11)(C++11)	absolute value of a floating point value (\(\small{|x|}\)|x|) (function)
fmodfmodffmodl (C++11)(C++11)	remainder of the floating point division operation (function)
remainderremainderfremainderl (C++11)(C++11)(C++11)	signed remainder of the division operation (function)
remquoremquofremquol (C++11)(C++11)(C++11)	signed remainder as well as the three last bits of the division operation (function)
fmafmaffmal (C++11)(C++11)(C++11)	fused multiply-add operation (function)
fmaxfmaxffmaxl (C++11)(C++11)(C++11)	larger of two floating-point values (function)
fminfminffminl (C++11)(C++11)(C++11)	smaller of two floating point values (function)
fdimfdimffdiml (C++11)(C++11)(C++11)	positive difference of two floating point values (\({\small\max{(0, x-y)}}\)max(0, x-y)) (function)
nannanfnanl (C++11)(C++11)(C++11)	not-a-number (NaN) (function)
Linear interpolation
lerp (C++20)	linear interpolation function (function)
Exponential functions
expexpfexpl (C++11)(C++11)	returns e raised to the given power (\({\small e^x}\)ex) (function)
exp2exp2fexp2l (C++11)(C++11)(C++11)	returns 2 raised to the given power (\({\small 2^x}\)2x) (function)
expm1expm1fexpm1l (C++11)(C++11)(C++11)	returns e raised to the given power, minus 1 (\({\small e^x-1}\)ex-1) (function)
loglogflogl (C++11)(C++11)	computes natural (base e) logarithm (\({\small\ln{x}}\)ln(x)) (function)
log10log10flog10l (C++11)(C++11)	computes common (base 10) logarithm (\({\small\log_{10}{x}}\)log10(x)) (function)
log2log2flog2l (C++11)(C++11)(C++11)	base 2 logarithm of the given number (\({\small\log_{2}{x}}\)log2(x)) (function)
log1plog1pflog1pl (C++11)(C++11)(C++11)	natural logarithm (to base e) of 1 plus the given number (\({\small\ln{(1+x)}}\)ln(1+x)) (function)
Power functions
powpowfpowl (C++11)(C++11)	raises a number to the given power (\(\small{x^y}\)xy) (function)
sqrtsqrtfsqrtl (C++11)(C++11)	computes square root (\(\small{\sqrt{x}}\)√x) (function)
cbrtcbrtfcbrtl (C++11)(C++11)(C++11)	computes cube root (\(\small{\sqrt[3]{x}}\)3√x) (function)
hypothypotfhypotl (C++11)(C++11)(C++11)	computes hypotenuse \(\scriptsize{\sqrt{x^2+y^2}}\)√x2 +y2 and \(\scriptsize{\sqrt{x^2+y^2+z^2}}\)√x2 +y2 +z2 (since C++17) (function)
Trigonometric functions
sinsinfsinl (C++11)(C++11)	computes sine (\({\small\sin{x}}\)sin(x)) (function)
coscosfcosl (C++11)(C++11)	computes cosine (\({\small\cos{x}}\)cos(x)) (function)
tantanftanl (C++11)(C++11)	computes tangent (\({\small\tan{x}}\)tan(x)) (function)
asinasinfasinl (C++11)(C++11)	computes arc sine (\({\small\arcsin{x}}\)arcsin(x)) (function)
acosacosfacosl (C++11)(C++11)	computes arc cosine (\({\small\arccos{x}}\)arccos(x)) (function)
atanatanfatanl (C++11)(C++11)	computes arc tangent (\({\small\arctan{x}}\)arctan(x)) (function)
atan2atan2fatan2l (C++11)(C++11)	arc tangent, using signs to determine quadrants (function)
Hyperbolic functions
sinhsinhfsinhl (C++11)(C++11)	computes hyperbolic sine (\({\small\sinh{x}}\)sinh(x)) (function)
coshcoshfcoshl (C++11)(C++11)	computes hyperbolic cosine (\({\small\cosh{x}}\)cosh(x)) (function)
tanhtanhftanhl (C++11)(C++11)	computes hyperbolic tangent (\({\small\tanh{x}}\)tanh(x)) (function)
asinhasinhfasinhl (C++11)(C++11)(C++11)	computes the inverse hyperbolic sine (\({\small\operatorname{arsinh}{x}}\)arsinh(x)) (function)
acoshacoshfacoshl (C++11)(C++11)(C++11)	computes the inverse hyperbolic cosine (\({\small\operatorname{arcosh}{x}}\)arcosh(x)) (function)
atanhatanhfatanhl (C++11)(C++11)(C++11)	computes the inverse hyperbolic tangent (\({\small\operatorname{artanh}{x}}\)artanh(x)) (function)
Error and gamma functions
erferfferfl (C++11)(C++11)(C++11)	error function (function)
erfcerfcferfcl (C++11)(C++11)(C++11)	complementary error function (function)
tgammatgammaftgammal (C++11)(C++11)(C++11)	gamma function (function)
lgammalgammaflgammal (C++11)(C++11)(C++11)	natural logarithm of the gamma function (function)
Nearest integer floating-point operations
ceilceilfceill (C++11)(C++11)	nearest integer not less than the given value (function)
floorfloorffloorl (C++11)(C++11)	nearest integer not greater than the given value (function)
trunctruncftruncl (C++11)(C++11)(C++11)	nearest integer not greater in magnitude than the given value (function)
roundroundfroundllroundlroundflroundlllroundllroundfllroundl (C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)	nearest integer, rounding away from zero in halfway cases (function)
nearbyintnearbyintfnearbyintl (C++11)(C++11)(C++11)	nearest integer using current rounding mode (function)
rintrintfrintllrintlrintflrintlllrintllrintfllrintl (C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)	nearest integer using current rounding mode with exception if the result differs (function)
Floating-point manipulation functions
frexpfrexpffrexpl (C++11)(C++11)	decomposes a number into significand and base-2 exponent (function)
ldexpldexpfldexpl (C++11)(C++11)	multiplies a number by 2 raised to an integral power (function)
modfmodffmodfl (C++11)(C++11)	decomposes a number into integer and fractional parts (function)
scalbnscalbnfscalbnlscalblnscalblnfscalblnl (C++11)(C++11)(C++11)(C++11)(C++11)(C++11)	multiplies a number by FLT_RADIX raised to a power (function)
ilogbilogbfilogbl (C++11)(C++11)(C++11)	extracts exponent of the number (function)
logblogbflogbl (C++11)(C++11)(C++11)	extracts exponent of the number (function)
nextafternextafterfnextafterlnexttowardnexttowardfnexttowardl (C++11)(C++11)(C++11)(C++11)(C++11)(C++11)	next representable floating-point value towards the given value (function)
copysigncopysignfcopysignl (C++11)(C++11)(C++11)	copies the sign of a floating point value (function)
Classification and comparison
fpclassify (C++11)	categorizes the given floating-point value (function)
isfinite (C++11)	checks if the given number has finite value (function)
isinf (C++11)	checks if the given number is infinite (function)
isnan (C++11)	checks if the given number is NaN (function)
isnormal (C++11)	checks if the given number is normal (function)
signbit (C++11)	checks if the given number is negative (function)
isgreater (C++11)	checks if the first floating-point argument is greater than the second (function)
isgreaterequal (C++11)	checks if the first floating-point argument is greater or equal than the second (function)
isless (C++11)	checks if the first floating-point argument is less than the second (function)
islessequal (C++11)	checks if the first floating-point argument is less or equal than the second (function)
islessgreater (C++11)	checks if the first floating-point argument is less or greater than the second (function)
isunordered (C++11)	checks if two floating-point values are unordered (function)
Mathematical special functions
assoc_laguerreassoc_laguerrefassoc_laguerrel (C++17)(C++17)(C++17)	associated Laguerre polynomials (function)
assoc_legendreassoc_legendrefassoc_legendrel (C++17)(C++17)(C++17)	associated Legendre polynomials (function)
betabetafbetal (C++17)(C++17)(C++17)	beta function (function)
comp_ellint_1comp_ellint_1fcomp_ellint_1l (C++17)(C++17)(C++17)	(complete) elliptic integral of the first kind (function)
comp_ellint_2comp_ellint_2fcomp_ellint_2l (C++17)(C++17)(C++17)	(complete) elliptic integral of the second kind (function)
comp_ellint_3comp_ellint_3fcomp_ellint_3l (C++17)(C++17)(C++17)	(complete) elliptic integral of the third kind (function)
cyl_bessel_icyl_bessel_ifcyl_bessel_il (C++17)(C++17)(C++17)	regular modified cylindrical Bessel functions (function)
cyl_bessel_jcyl_bessel_jfcyl_bessel_jl (C++17)(C++17)(C++17)	cylindrical Bessel functions (of the first kind) (function)
cyl_bessel_kcyl_bessel_kfcyl_bessel_kl (C++17)(C++17)(C++17)	irregular modified cylindrical Bessel functions (function)
cyl_neumanncyl_neumannfcyl_neumannl (C++17)(C++17)(C++17)	cylindrical Neumann functions (function)
ellint_1ellint_1fellint_1l (C++17)(C++17)(C++17)	(incomplete) elliptic integral of the first kind (function)
ellint_2ellint_2fellint_2l (C++17)(C++17)(C++17)	(incomplete) elliptic integral of the second kind (function)
ellint_3ellint_3fellint_3l (C++17)(C++17)(C++17)	(incomplete) elliptic integral of the third kind (function)
expintexpintfexpintl (C++17)(C++17)(C++17)	exponential integral (function)
hermitehermitefhermitel (C++17)(C++17)(C++17)	Hermite polynomials (function)
legendrelegendreflegendrel (C++17)(C++17)(C++17)	Legendre polynomials (function)
laguerrelaguerreflaguerrel (C++17)(C++17)(C++17)	Laguerre polynomials (function)
riemann_zetariemann_zetafriemann_zetal (C++17)(C++17)(C++17)	Riemann zeta function (function)
sph_besselsph_besselfsph_bessell (C++17)(C++17)(C++17)	spherical Bessel functions (of the first kind) (function)
sph_legendresph_legendrefsph_legendrel (C++17)(C++17)(C++17)	spherical associated Legendre functions (function)
sph_neumannsph_neumannfsph_neumannl (C++17)(C++17)(C++17)	spherical Neumann functions (function)

Synopsis

For each function with at least one parameter of type /* floating-point-type */, an overload for each cv-unqualified floating-point type is provided where all uses of /* floating-point-type */ in the function signature are replaced with that floating-point type.

For each function with at least one parameter of type /* floating-point-type */ other than std::abs, additional overloads are provided to ensure that, if every argument corresponding to a /* floating-point-type */ parameter has arithmetic type, then every such argument is effectively cast to the floating-point type with the greatest floating-point conversion rank and greatest floating-point conversion subrank among the types of all such arguments, where arguments of integer type are considered to have the same floating-point conversion rank as double. If no such floating-point type with the greatest rank and subrank exists, then overload resolution does not result in a usable candidate from the provided overloads.

namespace std {using float_t =/* see description */;using double_t =/* see description */;}   #define HUGE_VAL /* see description */#define HUGE_VALF /* see description */#define HUGE_VALL /* see description */#define INFINITY /* see description */#define NAN /* see description */#define FP_INFINITE /* see description */#define FP_NAN /* see description */#define FP_NORMAL /* see description */#define FP_SUBNORMAL /* see description */#define FP_ZERO /* see description */#define FP_FAST_FMA /* see description */#define FP_FAST_FMAF /* see description */#define FP_FAST_FMAL /* see description */#define FP_ILOGB0 /* see description */#define FP_ILOGBNAN /* see description */#define MATH_ERRNO /* see description */#define MATH_ERREXCEPT /* see description */   #define math_errhandling /* see description */   namespace std {/* floating-point-type */ acos(/* floating-point-type */ x);float acosf(float x);longdouble acosl(longdouble x);   /* floating-point-type */ asin(/* floating-point-type */ x);float asinf(float x);longdouble asinl(longdouble x);   /* floating-point-type */ atan(/* floating-point-type */ x);float atanf(float x);longdouble atanl(longdouble x);   /* floating-point-type */ atan2(/* floating-point-type */ y, /* floating-point-type */ x);float atan2f(float y, float x);longdouble atan2l(longdouble y, longdouble x);   /* floating-point-type */ cos(/* floating-point-type */e x);float cosf(float x);longdouble cosl(longdouble x);   /* floating-point-type */ sin(/* floating-point-type */ x);float sinf(float x);longdouble sinl(longdouble x);   /* floating-point-type */ tan(/* floating-point-type */ x);float tanf(float x);longdouble tanl(longdouble x);   /* floating-point-type */ acosh(/* floating-point-type */ x);float acoshf(float x);longdouble acoshl(longdouble x);   /* floating-point-type */ asinh(/* floating-point-type */ x);float asinhf(float x);longdouble asinhl(longdouble x);   /* floating-point-type */ atanh(/* floating-point-type */ x);float atanhf(float x);longdouble atanhl(longdouble x);   /* floating-point-type */ cosh(/* floating-point-type */ x);float coshf(float x);longdouble coshl(longdouble x);   /* floating-point-type */ sinh(/* floating-point-type */ x);float sinhf(float x);longdouble sinhl(longdouble x);   /* floating-point-type */ tanh(/* floating-point-type */ x);float tanhf(float x);longdouble tanhl(longdouble x);   /* floating-point-type */ exp(/* floating-point-type */ x);float expf(float x);longdouble expl(longdouble x);   /* floating-point-type */ exp2(/* floating-point-type */ x);float exp2f(float x);longdouble exp2l(longdouble x);   /* floating-point-type */ expm1(/* floating-point-type */ x);float expm1f(float x);longdouble expm1l(longdouble x);   constexpr/* floating-point-type */ frexp(/* floating-point-type */ value, int* exp);constexprfloat frexpf(float value, int* exp);constexprlongdouble frexpl(longdouble value, int* exp);   constexprint ilogb(/* floating-point-type */ x);constexprint ilogbf(float x);constexprint ilogbl(longdouble x);   constexpr/* floating-point-type */ ldexp(/* floating-point-type */ x, int exp);constexprfloat ldexpf(float x, int exp);constexprlongdouble ldexpl(longdouble x, int exp);   /* floating-point-type */ log(/* floating-point-type */ x);float logf(float x);longdouble logl(longdouble x);   /* floating-point-type */ log10(/* floating-point-type */ x);float log10f(float x);longdouble log10l(longdouble x);   /* floating-point-type */ log1p(/* floating-point-type */ x);float log1pf(float x);longdouble log1pl(longdouble x);   /* floating-point-type */ log2(/* floating-point-type */ x);float log2f(float x);longdouble log2l(longdouble x);   constexpr/* floating-point-type */ logb(/* floating-point-type */ x);constexprfloat logbf(float x);constexprlongdouble logbl(longdouble x);   constexpr/* floating-point-type */ modf(/* floating-point-type */ value, /* floating-point-type */* iptr);constexprfloat modff(float value, float* iptr);constexprlongdouble modfl(longdouble value, longdouble* iptr);   constexpr/* floating-point-type */ scalbn(/* floating-point-type */ x, int n);constexprfloat scalbnf(float x, int n);constexprlongdouble scalbnl(longdouble x, int n);   constexpr/* floating-point-type */ scalbln(/* floating-point-type */ x, longint n);constexprfloat scalblnf(float x, longint n);constexprlongdouble scalblnl(longdouble x, longint n);   /* floating-point-type */ cbrt(/* floating-point-type */ x);float cbrtf(float x);longdouble cbrtl(longdouble x);   // absolute valuesconstexprint abs(int j);// freestandingconstexprlongint abs(longint j);// freestandingconstexprlonglongint abs(longlongint j);// freestandingconstexpr/* floating-point-type */ abs(/* floating-point-type */ j);// freestanding-deleted   constexpr/* floating-point-type */ fabs(/* floating-point-type */ x);constexprfloat fabsf(float x);constexprlongdouble fabsl(longdouble x);   /* floating-point-type */ hypot(/* floating-point-type */ x, /* floating-point-type */ y);float hypotf(float x, float y);longdouble hypotl(longdouble x, longdouble y);   // three-dimensional hypotenusefloat hypot(/* floating-point-type */ x, /* floating-point-type */ y, /* floating-point-type */ z);   /* floating-point-type */ pow(/* floating-point-type */ x, /* floating-point-type */ y);float powf(float x, float y);longdouble powl(longdouble x, longdouble y);   /* floating-point-type */ sqrt(/* floating-point-type */ x);float sqrtf(float x);longdouble sqrtl(longdouble x);   /* floating-point-type */ erf(/* floating-point-type */ x);float erff(float x);longdouble erfl(longdouble x);   /* floating-point-type */ erfc(/* floating-point-type */ x);float erfcf(float x);longdouble erfcl(longdouble x);   /* floating-point-type */ lgamma(/* floating-point-type */ x);float lgammaf(float x);longdouble lgammal(longdouble x);   /* floating-point-type */ tgamma(/* floating-point-type */ x);float tgammaf(float x);longdouble tgammal(longdouble x);   constexpr/* floating-point-type */ ceil(/* floating-point-type */ x);constexprfloat ceilf(float x);constexprlongdouble ceill(longdouble x);   constexpr/* floating-point-type */ floor(/* floating-point-type */ x);constexprfloat floorf(float x);constexprlongdouble floorl(longdouble x);   /* floating-point-type */ nearbyint(/* floating-point-type */ x);float nearbyintf(float x);longdouble nearbyintl(longdouble x);   /* floating-point-type */ rint(/* floating-point-type */ x);float rintf(float x);longdouble rintl(longdouble x);   longint lrint(/* floating-point-type */ x);longint lrintf(float x);longint lrintl(longdouble x);   longlongint llrint(/* floating-point-type */ x);longlongint llrintf(float x);longlongint llrintl(longdouble x);   constexpr/* floating-point-type */ round(/* floating-point-type */ x);constexprfloat roundf(float x);constexprlongdouble roundl(longdouble x);   constexprlongint lround(/* floating-point-type */ x);constexprlongint lroundf(float x);constexprlongint lroundl(longdouble x);   constexprlonglongint llround(/* floating-point-type */ x);constexprlonglongint llroundf(float x);constexprlonglongint llroundl(longdouble x);   constexpr/* floating-point-type */ trunc(/* floating-point-type */ x);constexprfloat truncf(float x);constexprlongdouble truncl(longdouble x);   constexpr/* floating-point-type */ fmod(/* floating-point-type */ x, /* floating-point-type */ y);constexprfloat fmodf(float x, float y);constexprlongdouble fmodl(longdouble x, longdouble y);   constexpr/* floating-point-type */ remainder(/* floating-point-type */ x, /* floating-point-type */ y);constexprfloat remainderf(float x, float y);constexprlongdouble remainderl(longdouble x, longdouble y);   constexpr/* floating-point-type */ remquo(/* floating-point-type */ x, /* floating-point-type */ y, int* quo);constexprfloat remquof(float x, float y, int* quo);constexprlongdouble remquol(longdouble x, longdouble y, int* quo);   constexpr/* floating-point-type */ copysign(/* floating-point-type */ x, /* floating-point-type */ y);constexprfloat copysignf(float x, float y);constexprlongdouble copysignl(longdouble x, longdouble y);   double nan(constchar* tagp);float nanf(constchar* tagp);longdouble nanl(constchar* tagp);   constexpr/* floating-point-type */ nextafter(/* floating-point-type */ x, /* floating-point-type */ y);constexprfloat nextafterf(float x, float y);constexprlongdouble nextafterl(longdouble x, longdouble y);   constexpr/* floating-point-type */ nexttoward(/* floating-point-type */ x, longdouble y);constexprfloat nexttowardf(float x, longdouble y);constexprlongdouble nexttowardl(longdouble x, longdouble y);   constexpr/* floating-point-type */ fdim(/* floating-point-type */ x, /* floating-point-type */ y);constexprfloat fdimf(float x, float y);constexprlongdouble fdiml(longdouble x, longdouble y);   constexpr/* floating-point-type */ fmax(/* floating-point-type */ x, /* floating-point-type */ y);constexprfloat fmaxf(float x, float y);constexprlongdouble fmaxl(longdouble x, longdouble y);   constexpr/* floating-point-type */ fmin(/* floating-point-type */ x, /* floating-point-type */ y);constexprfloat fminf(float x, float y);constexprlongdouble fminl(longdouble x, longdouble y);   constexpr/* floating-point-type */ fma(/* floating-point-type */ x, /* floating-point-type */ y, /* floating-point-type */ z);constexprfloat fmaf(float x, float y, float z);constexprlongdouble fmal(longdouble x, longdouble y, longdouble z);   // linear interpolationconstexpr/* floating-point-type */ lerp(/* floating-point-type */ a, /* floating-point-type */ b, /* floating-point-type */ t)noexcept;   // classification / comparison functionsconstexprint fpclassify(/* floating-point-type */ x);   constexprbool isfinite(/* floating-point-type */ x);   constexprbool isinf(/* floating-point-type */ x);   constexprbool isnan(/* floating-point-type */ x);   constexprbool isnormal(/* floating-point-type */ x);   constexprbool signbit(/* floating-point-type */ x);   constexprbool isgreater(/* floating-point-type */ x, /* floating-point-type */ y);   constexprbool isgreaterequal(/* floating-point-type */ x, /* floating-point-type */ y);   constexprbool isless(/* floating-point-type */ x, /* floating-point-type */ y);   constexprbool islessequal(/* floating-point-type */ x, /* floating-point-type */ y);   constexprbool islessgreater(/* floating-point-type */ x, /* floating-point-type */ y);   constexprbool isunordered(/* floating-point-type */ x, /* floating-point-type */ y);   // mathematical special functions   // associated Laguerre polynomials/* floating-point-type */ assoc_laguerre(unsigned n, unsigned m, /* floating-point-type */ x);float assoc_laguerref(unsigned n, unsigned m, float x);longdouble assoc_laguerrel(unsigned n, unsigned m, longdouble x);   // associated Legendre functions/* floating-point-type */ assoc_legendre(unsigned l, unsigned m, /* floating-point-type */ x);float assoc_legendref(unsigned l, unsigned m, float x);longdouble assoc_legendrel(unsigned l, unsigned m, longdouble x);   // beta function/* floating-point-type */ beta(/* floating-point-type */ x, /* floating-point-type */ y);float betaf(float x, float y);longdouble betal(longdouble x, longdouble y);   // complete elliptic integral of the first kind/* floating-point-type */ comp_ellint_1(/* floating-point-type */ k);float comp_ellint_1f(float k);longdouble comp_ellint_1l(longdouble k);   // complete elliptic integral of the second kind/* floating-point-type */ comp_ellint_2(/* floating-point-type */ k);float comp_ellint_2f(float k);longdouble comp_ellint_2l(longdouble k);   // complete elliptic integral of the third kind/* floating-point-type */ comp_ellint_3(/* floating-point-type */ k, /* floating-point-type */ nu);float comp_ellint_3f(float k, float nu);longdouble comp_ellint_3l(longdouble k, longdouble nu);   // regular modified cylindrical Bessel functions/* floating-point-type */ cyl_bessel_i(/* floating-point-type */ nu, /* floating-point-type */ x);float cyl_bessel_if(float nu, float x);longdouble cyl_bessel_il(longdouble nu, longdouble x);   // cylindrical Bessel functions of the first kind/* floating-point-type */ cyl_bessel_j(/* floating-point-type */ nu, /* floating-point-type */ x);float cyl_bessel_jf(float nu, float x);longdouble cyl_bessel_jl(longdouble nu, longdouble x);   // irregular modified cylindrical Bessel functions/* floating-point-type */ cyl_bessel_k(/* floating-point-type */ nu, /* floating-point-type */ x);float cyl_bessel_kf(float nu, float x);longdouble cyl_bessel_kl(longdouble nu, longdouble x);   // cylindrical Neumann functions;// cylindrical Bessel functions of the second kind/* floating-point-type */ cyl_neumann(/* floating-point-type */ nu, /* floating-point-type */ x);float cyl_neumannf(float nu, float x);longdouble cyl_neumannl(longdouble nu, longdouble x);   // incomplete elliptic integral of the first kind/* floating-point-type */ ellint_1(/* floating-point-type */ k, /* floating-point-type */ phi);float ellint_1f(float k, float phi);longdouble ellint_1l(longdouble k, longdouble phi);   // incomplete elliptic integral of the second kind/* floating-point-type */ ellint_2(/* floating-point-type */ k, /* floating-point-type */ phi);float ellint_2f(float k, float phi);longdouble ellint_2l(longdouble k, longdouble phi);   // incomplete elliptic integral of the third kind/* floating-point-type */ ellint_3(/* floating-point-type */ k, /* floating-point-type */ nu, /* floating-point-type */ phi);float ellint_3f(float k, float nu, float phi);longdouble ellint_3l(longdouble k, longdouble nu, longdouble phi);   // exponential integral/* floating-point-type */ expint(/* floating-point-type */ x);float expintf(float x);longdouble expintl(longdouble x);   // Hermite polynomials/* floating-point-type */ hermite(unsigned n, /* floating-point-type */ x);float hermitef(unsigned n, float x);longdouble hermitel(unsigned n, longdouble x);   // Laguerre polynomials/* floating-point-type */ laguerre(unsigned n, /* floating-point-type */ x);float laguerref(unsigned n, float x);longdouble laguerrel(unsigned n, longdouble x);   // Legendre polynomials/* floating-point-type */ legendre(unsigned l, /* floating-point-type */ x);float legendref(unsigned l, float x);longdouble legendrel(unsigned l, longdouble x);   // Riemann zeta function/* floating-point-type */ riemann_zeta(/* floating-point-type */ x);float riemann_zetaf(float x);longdouble riemann_zetal(longdouble x);   // spherical Bessel functions of the first kind/* floating-point-type */ sph_bessel(unsigned n, /* floating-point-type */ x);float sph_besself(unsigned n, float x);longdouble sph_bessell(unsigned n, longdouble x);   // spherical associated Legendre functions/* floating-point-type */ sph_legendre(unsigned l, unsigned m, /* floating-point-type */ theta);float sph_legendref(unsigned l, unsigned m, float theta);longdouble sph_legendrel(unsigned l, unsigned m, longdouble theta);   // spherical Neumann functions;// spherical Bessel functions of the second kind/* floating-point-type */ sph_neumann(unsigned n, /* floating-point-type */ x);float sph_neumannf(unsigned n, float x);longdouble sph_neumannl(unsigned n, longdouble x);}