Common mathematical functions

From cppreference.com

Common mathematical functions

Functions

Basic operations

abslabsllabsimaxabs (C99)(C99)
fabs
divldivlldivimaxdiv (C99)(C99)

fmod
remainder (C99)
remquo (C99)
fma (C99)
fdim (C99)
nannanfnanlnandN (C99)(C99)(C99)(C23)

Maximum/minimum operations

fmax (C99)
fmin (C99)
fmaximum (C23)
fminimum (C23)
fmaximum_mag (C23)

fmaximum_num (C23)
fminimum_mag (C23)
fminimum_num (C23)
fmaximum_mag_num (C23)
fminimum_mag_num (C23)

Exponential functions

exp
exp10 (C23)
exp2 (C99)
expm1 (C99)
exp10m1 (C23)
exp2m1 (C23)

log
log10
log2 (C99)
log1plogp1 (C99)(C23)
log10p1 (C23)
log2p1 (C23)

Power functions

sqrt
cbrt (C99)
rootn (C23)
rsqrt (C23)

hypot (C99)
compound (C23)
pow
pown (C23)
powr (C23)

Trigonometric and hyperbolic functions

sin
cos
tan
asin
acos
atan
atan2
sinpi (C23)
cospi (C23)
tanpi (C23)

asinpi (C23)
acospi (C23)
atanpi (C23)
atan2pi (C23)
sinh
cosh
tanh
asinh (C99)
acosh (C99)
atanh (C99)

Nearest integer floating-point

ceil
floor
roundlroundllround (C99)(C99)(C99)
roundeven (C23)
trunc (C99)

nearbyint (C99)
rintlrintllrint (C99)(C99)(C99)
fromfpfromfpxufromfpufromfpx (C23)(C23)(C23)(C23)

Floating-point manipulation

ldexp
frexp
scalbnscalbln (C99)(C99)
ilogbllogb (C99)(C23)
logb (C99)

modf
nextafternexttoward (C99)(C99)
nextupnextdown (C23)(C23)
copysign (C99)
canonicalize (C23)

Narrowing operations

fadd (C23)
fsub (C23)
fmul (C23)

fdiv (C23)
ffma (C23)
fsqrt (C23)

Quantum and quantum exponent

quantizedN (C23)
quantumdN (C23)

samequantumdN (C23)
llquantexpdN (C23)

Decimal re-encoding functions

encodedecdN (C23)
decodedecdN (C23)

encodebindN (C23)
decodebindN (C23)

Total order and payload functions

totalorder (C23)
getpayload (C23)

setpayload (C23)
setpayloadsig (C23)

Classification

fpclassify (C99)
iscanonical (C23)
isfinite (C99)
isinf (C99)
isnan (C99)
isnormal (C99)
signbit (C99)
issubnormal (C23)
iszero (C23)

isgreater (C99)
isgreaterequal (C99)
isless (C99)
islessequal (C99)
islessgreater (C99)
isunordered (C99)
issignaling (C23)
iseqsig (C23)

Error and gamma functions

erf (C99)
erfc (C99)

lgamma (C99)
tgamma (C99)

Types

div_tldiv_tlldiv_timaxdiv_t

(C99)(C99)

float_tdouble_t (C99)(C99)
_Decimal32_t_Decimal64_t (C23)(C23)

Macro constants

Special floating-point values

HUGE_VALHUGE_VALFHUGE_VALLHUGE_VALDN

(C99)(C99)(C23)

INFINITYDEC_INFINITY (C99)(C23)
NANDEC_NAN (C99)(C23)

Arguments and return values

FP_ILOGB0FP_ILOGBNAN (C99)(C99)
FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN (C99)(C99)(C99)(C99)(C99)

FP_LLOGB0FP_LLOGBNAN (C23)(C23)
FP_INT_UPWARDFP_INT_DOWNWARDFP_INT_TOWARDZEROFP_INT_TONEARESTFROMZEROFP_INT_TONEAREST (C23)(C23)(C23)(C23)(C23)

Error handling

MATH_ERRNOMATH_ERRNOEXCEPT

(C99)(C99)

math_errhandling (C99)

Fast operation indicators

FP_FAST_FMAFFP_FAST_FMA (C99)(C99)
FP_FAST_FADDFP_FAST_FADDLFP_FAST_DADDLFP_FAST_DMADDDN (C23)(C23)(C23)(C23)
FP_FAST_FMULFP_FAST_FMULLFP_FAST_DMULLFP_FAST_DMMULDN (C23)(C23)(C23)(C23)
FP_FAST_FFMAFP_FAST_FFMALFP_FAST_DFMALFP_FAST_DMFMADN (C23)(C23)(C23)(C23)

FP_FAST_FMALFP_FAST_FMADN (C99)(C23)
FP_FAST_FSUBFP_FAST_FSUBLFP_FAST_DSUBLFP_FAST_DMSUBDN (C23)(C23)(C23)(C23)
FP_FAST_FDIVFP_FAST_FDIVLFP_FAST_DDIVLFP_FAST_DMDIVDN (C23)(C23)(C23)(C23)
FP_FAST_FSQRTFP_FAST_FSQRTLFP_FAST_DSQRTLFP_FAST_DMSQRTDN (C23)(C23)(C23)(C23)

[edit]

[edit] Types

Defined in header `<stdlib.h>`
div_t	structure type, return of the div function (typedef) [edit]
ldiv_t	structure type, return of the ldiv function (typedef) [edit]
lldiv_t (C99)	structure type, return of the lldiv function (typedef) [edit]
Defined in header `<inttypes.h>`
imaxdiv_t (C99)	structure type, return of the imaxdiv function (typedef) [edit]
Defined in header `<math.h>`
float_t (C99)	most efficient floating-point type at least as wide as float (typedef) [edit]
double_t (C99)	most efficient floating-point type at least as wide as double (typedef) [edit]

[edit] Constants

Defined in header `<math.h>`
HUGE_VALFHUGE_VALHUGE_VALL (C99)(C99)	indicates value too big to be representable (infinity) by float, double and long double respectively (macro constant) [edit]
INFINITY (C99)	evaluates to positive infinity or the value guaranteed to overflow a float (macro constant) [edit]
NAN (C99)	evaluates to a quiet NaN of type float (macro constant) [edit]
FP_FAST_FMAFFP_FAST_FMAFP_FAST_FMAL (C99)(C99)(C99)	indicates that the fma function generally executes about as fast as, or faster than, a multiply and an add of double operands (macro constant) [edit]
FP_ILOGB0FP_ILOGBNAN (C99)(C99)	evaluates to ilogb(x) if x is zero or NaN, respectively (macro constant) [edit]
math_errhandlingMATH_ERRNOMATH_ERREXCEPT (C99)(C99)(C99)	defines the error handling mechanism used by the common mathematical functions (macro constant) [edit]
Classification
FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN (C99)(C99)(C99)(C99)(C99)	indicates a floating-point category (macro constant) [edit]

[edit] Functions

Defined in header `<stdlib.h>`
abslabsllabs (C99)	computes absolute value of an integral value ($\small{\|x\|}$ $\|x\|$ ) (function) [edit]
divldivlldiv (C99)	computes quotient and remainder of integer division (function) [edit]
Defined in header `<inttypes.h>`
imaxabs (C99)	computes absolute value of an integral value ($\small{\|x\|}$ $\|x\|$ ) (function) [edit]
imaxdiv (C99)	computes quotient and remainder of integer division (function) [edit]
Defined in header `<math.h>`
Basic operations
fabsfabsffabsl (C99)(C99)	computes absolute value of a floating-point value ($\small{\|x\|}$ $\|x\|$ ) (function) [edit]
fmodfmodffmodl (C99)(C99)	computes remainder of the floating-point division operation (function) [edit]
remainderremainderfremainderl (C99)(C99)(C99)	computes signed remainder of the floating-point division operation (function) [edit]
remquoremquofremquol (C99)(C99)(C99)	computes signed remainder as well as the three last bits of the division operation (function) [edit]
fmafmaffmal (C99)(C99)(C99)	computes fused multiply-add operation (function) [edit]
fmaxfmaxffmaxl (C99)(C99)(C99)	determines larger of two floating-point values (function) [edit]
fminfminffminl (C99)(C99)(C99)	determines smaller of two floating-point values (function) [edit]
fdimfdimffdiml (C99)(C99)(C99)	determines positive difference of two floating-point values (${\small\max{(0, x-y)} }$ $max(0, x-y)$ ) (function) [edit]
nannanfnanl (C99)(C99)(C99)	returns a NaN (not-a-number) (function) [edit]
Exponential functions
expexpfexpl (C99)(C99)	computes e raised to the given power (${\small e^x}$ $e x$ ) (function) [edit]
exp2exp2fexp2l (C99)(C99)(C99)	computes 2 raised to the given power (${\small 2^x}$ $2 x$ ) (function) [edit]
expm1expm1fexpm1l (C99)(C99)(C99)	computes e raised to the given power, minus one (${\small e^x-1}$ $e x -1$ ) (function) [edit]
loglogflogl (C99)(C99)	computes natural (base-e) logarithm (${\small \ln{x} }$ $ln(x)$ ) (function) [edit]
log10log10flog10l (C99)(C99)	computes common (base-10) logarithm (${\small \log_{10}{x} }$ $log 10 (x)$ ) (function) [edit]
log2log2flog2l (C99)(C99)(C99)	computes base-2 logarithm (${\small \log_{2}{x} }$ $log 2 (x)$ ) (function) [edit]
log1plog1pflog1pl (C99)(C99)(C99)	computes natural (base-e) logarithm of 1 plus the given number (${\small \ln{(1+x)} }$ $ln(1+x)$ ) (function) [edit]
Power functions
powpowfpowl (C99)(C99)	computes a number raised to the given power ($\small{x^y}$ $x y$ ) (function) [edit]
sqrtsqrtfsqrtl (C99)(C99)	computes square root ($\small{\sqrt{x} }$ $\sqrt x$ ) (function) [edit]
cbrtcbrtfcbrtl (C99)(C99)(C99)	computes cube root ($\small{\sqrt[3]{x} }$ $3 \sqrt x$ ) (function) [edit]
hypothypotfhypotl (C99)(C99)(C99)	computes square root of the sum of the squares of two given numbers ($\scriptsize{\sqrt{x^2+y^2} }$ $\sqrt x 2 +y 2$ ) (function) [edit]
Trigonometric functions
sinsinfsinl (C99)(C99)	computes sine (${\small\sin{x} }$ $sin(x)$ ) (function) [edit]
coscosfcosl (C99)(C99)	computes cosine (${\small\cos{x} }$ $cos(x)$ ) (function) [edit]
tantanftanl (C99)(C99)	computes tangent (${\small\tan{x} }$ $tan(x)$ ) (function) [edit]
asinasinfasinl (C99)(C99)	computes arc sine (${\small\arcsin{x} }$ $arcsin(x)$ ) (function) [edit]
acosacosfacosl (C99)(C99)	computes arc cosine (${\small\arccos{x} }$ $arccos(x)$ ) (function) [edit]
atanatanfatanl (C99)(C99)	computes arc tangent (${\small\arctan{x} }$ $arctan(x)$ ) (function) [edit]
atan2atan2fatan2l (C99)(C99)	computes arc tangent, using signs to determine quadrants (function) [edit]
Hyperbolic functions
sinhsinhfsinhl (C99)(C99)	computes hyperbolic sine (${\small\sinh{x} }$ $sinh(x)$ ) (function) [edit]
coshcoshfcoshl (C99)(C99)	computes hyperbolic cosine (${\small\cosh{x} }$ $cosh(x)$ ) (function) [edit]
tanhtanhftanhl (C99)(C99)	computes hyperbolic tangent (${\small\tanh{x} }$ $tanh(x)$ ) (function) [edit]
asinhasinhfasinhl (C99)(C99)(C99)	computes inverse hyperbolic sine (${\small\operatorname{arsinh}{x} }$ $arsinh(x)$ ) (function) [edit]
acoshacoshfacoshl (C99)(C99)(C99)	computes inverse hyperbolic cosine (${\small\operatorname{arcosh}{x} }$ $arcosh(x)$ ) (function) [edit]
atanhatanhfatanhl (C99)(C99)(C99)	computes inverse hyperbolic tangent (${\small\operatorname{artanh}{x} }$ $artanh(x)$ ) (function) [edit]
Error and gamma functions
erferfferfl (C99)(C99)(C99)	computes error function (function) [edit]
erfcerfcferfcl (C99)(C99)(C99)	computes complementary error function (function) [edit]
tgammatgammaftgammal (C99)(C99)(C99)	computes gamma function (function) [edit]

Compiler support
Language
Headers
Type support
Program utilities
Variadic function support
Error handling
Dynamic memory management
Strings library
Algorithms
Numerics
Date and time utilities
Input/output support
Localization support
Concurrency support (C11)
Technical Specifications
Symbol index

Common mathematical functions
Floating-point environment (C99)
Pseudo-random number generation
Complex number arithmetic (C99)
Type-generic math (C99)
Bit manipulation (C23)
Checked integer arithmetic (C23)

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