Common mathematical functions

Common mathematical functions

Functions

Basic operations

abs(int)labsllabsimaxabs (C++11)
abs(float)fabs
divldivlldivimaxdiv (C++11)
fmod

remainder (C++11)
remquo (C++11)
fma (C++11)
fmax (C++11)
fmin (C++11)
fdim (C++11)
nannanfnanl (C++11)(C++11)(C++11)

Exponential functions

exp
exp2 (C++11)
expm1 (C++11)

log
log10
log1p (C++11)
log2 (C++11)

Power functions

sqrt
cbrt (C++11)

hypot (C++11)
pow

Trigonometric and hyperbolic functions

sin
cos
tan
asin
acos
atan
atan2

sinh
cosh
tanh
asinh (C++11)
acosh (C++11)
atanh (C++11)

Error and gamma functions

erf (C++11)
erfc (C++11)

lgamma (C++11)
tgamma (C++11)

Nearest integer floating point operations

ceil
floor
roundlroundllround (C++11)(C++11)(C++11)

trunc (C++11)
nearbyint (C++11)
rintlrintllrint (C++11)(C++11)(C++11)

Floating point manipulation functions

ldexp
scalbnscalbln (C++11)(C++11)
ilogb (C++11)
logb (C++11)

frexp
modf
nextafternexttoward (C++11)(C++11)
copysign (C++11)

Classification/Comparison

fpclassify (C++11)
isfinite (C++11)
isinf (C++11)
isnan (C++11)
isnormal (C++11)
signbit (C++11)

isgreater (C++11)
isgreaterequal (C++11)
isless (C++11)
islessequal (C++11)
islessgreater (C++11)
isunordered (C++11)

Macro constants

HUGE_VALFHUGE_VALHUGE_VALL (C++11)(C++11)
INFINITY (C++11)
NAN (C++11)
math_errhandlingMATH_ERRNOMATH_ERREXCEPT (C++11)

FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN

(C++11)(C++11)(C++11)(C++11)(C++11)

[edit]

Defined in header `<cstdlib>`
abs(int)labsllabs (C++11)	computes absolute value of an integral value ( $\|x\|$ ) (function) [edit]
div(int)ldivlldiv (C++11)	computes quotient and remainder of integer division (function) [edit]
Defined in header `<cinttypes>`
abs(std::intmax_t)imaxabs (C++11)(C++11)	computes absolute value of an integral value ( $\|x\|$ ) (function) [edit]
div(std::intmax_t)imaxdiv (C++11)(C++11)	computes quotient and remainder of integer division (function) [edit]
Defined in header `<cmath>`
Basic operations
abs(float) fabs	absolute value of a floating point value ( $\|x\|$ ) (function) [edit]
fmod	remainder of the floating point division operation (function) [edit]
remainder (C++11)	signed remainder of the division operation (function) [edit]
remquo (C++11)	signed remainder as well as the three last bits of the division operation (function) [edit]
fma (C++11)	fused multiply-add operation (function) [edit]
fmax (C++11)	larger of two floating point values (function) [edit]
fmin (C++11)	smaller of two floating point values (function) [edit]
fdim (C++11)	positive difference of two floating point values ( $max(0, x-y)$ ) (function) [edit]
nannanfnanl (C++11)(C++11)(C++11)	not-a-number (NaN) (function) [edit]
Exponential functions
exp	returns e raised to the given power ( $e x$ ) (function) [edit]
exp2 (C++11)	returns 2 raised to the given power ( $2 x$ ) (function) [edit]
expm1 (C++11)	returns e raised to the given power, minus one ( $e x -1$ ) (function) [edit]
log	computes natural (base e) logarithm ( $ln(x)$ ) (function) [edit]
log10	computes common (base 10) logarithm ( $log 10 (x)$ ) (function) [edit]
log2 (C++11)	base 2 logarithm of the given number ( $log 2 (x)$ ) (function) [edit]
log1p (C++11)	natural logarithm (to base e) of 1 plus the given number ( $ln(1+x)$ ) (function) [edit]
Power functions
pow	raises a number to the given power ( $x y$ ) (function) [edit]
sqrt	computes square root ( $\sqrt x$ ) (function) [edit]
cbrt (C++11)	computes cubic root ( $3 \sqrt x$ ) (function) [edit]
hypot (C++11)	computes square root of the sum of the squares of two given numbers ( $\sqrt x 2 +y 2$ ) (function) [edit]
Trigonometric functions
sin	computes sine ( $sin(x)$ ) (function) [edit]
cos	computes cosine ( $cos(x)$ ) (function) [edit]
tan	computes tangent ( $tan(x)$ ) (function) [edit]
asin	computes arc sine ( $arcsin(x)$ ) (function) [edit]
acos	computes arc cosine ( $arccos(x)$ ) (function) [edit]
atan	computes arc tangent ( $arctan(x)$ ) (function) [edit]
atan2	arc tangent, using signs to determine quadrants (function) [edit]
Hyperbolic functions
sinh	computes hyperbolic sine ( $sh(x)$ ) (function) [edit]
cosh	computes hyperbolic cosine ( $ch(x)$ ) (function) [edit]
tanh	hyperbolic tangent (function) [edit]
asinh (C++11)	computes the inverse hyperbolic sine ( $arsinh(x)$ ) (function) [edit]
acosh (C++11)	computes the inverse hyperbolic cosine ( $arcosh(x)$ ) (function) [edit]
atanh (C++11)	computes the inverse hyperbolic tangent ( $artanh(x)$ ) (function) [edit]
Error and gamma functions
erf (C++11)	error function (function) [edit]
erfc (C++11)	complementary error function (function) [edit]
tgamma (C++11)	gamma function (function) [edit]
lgamma (C++11)	natural logarithm of the gamma function (function) [edit]
Nearest integer floating point operations
ceil	nearest integer not less than the given value (function) [edit]
floor	nearest integer not greater than the given value (function) [edit]
trunc (C++11)	nearest integer not greater in magnitude than the given value (function) [edit]
roundlroundllround (C++11)(C++11)(C++11)	nearest integer, rounding away from zero in halfway cases (function) [edit]
nearbyint (C++11)	nearest integer using current rounding mode (function) [edit]
rintlrintllrint (C++11)(C++11)(C++11)	nearest integer using current rounding mode with exception if the result differs (function) [edit]
Floating point manipulation functions
frexp	decomposes a number into significand and a power of 2 (function) [edit]
ldexp	multiplies a number by 2 raised to a power (function) [edit]
modf	decomposes a number into integer and fractional parts (function) [edit]
scalbnscalbln (C++11)(C++11)	multiplies a number by FLT_RADIX raised to a power (function) [edit]
ilogb (C++11)	extracts exponent of the number (function) [edit]
logb (C++11)	extracts exponent of the number (function) [edit]
nextafternexttoward (C++11)(C++11)	next representable floating point value towards the given value (function) [edit]
copysign (C++11)	copies the sign of a floating point value (function) [edit]
Classification and comparison
fpclassify (C++11)	categorizes the given floating point value (function) [edit]
isfinite (C++11)	checks if the given number has finite value (function) [edit]
isinf (C++11)	checks if the given number is infinite (function) [edit]
isnan (C++11)	checks if the given number is NaN (function) [edit]
isnormal (C++11)	checks if the given number is normal (function) [edit]
signbit (C++11)	checks if the given number is negative (function) [edit]
isgreater (C++11)	checks if the first floating-point argument is greater than the second (function) [edit]
isgreaterequal (C++11)	checks if the first floating-point argument is greater or equal than the second (function) [edit]
isless (C++11)	checks if the first floating-point argument is less than the second (function) [edit]
islessequal (C++11)	checks if the first floating-point argument is less or equal than the second (function) [edit]
islessgreater (C++11)	checks if the first floating-point argument is less or greater than the second (function) [edit]
isunordered (C++11)	checks if two floating-point values are unordered (function) [edit]

[edit] Types

Defined in header `<cstdlib>`
div_t	structure type, return of the std::div function (typedef) [edit]
ldiv_t	structure type, return of the std::ldiv function (typedef) [edit]
lldiv_t (C++11)	structure type, return of the std::lldiv function (typedef) [edit]
Defined in header `<cinttypes>`
imaxdiv_t (C++11)	structure type, return of the std::imaxdiv function (typedef) [edit]
Defined in header `<cmath>`
float_t (C++11)	most efficient floating-point type at least as wide as float (typedef) [edit]
double_t (C++11)	most efficient floating-point type at least as wide as double (typedef) [edit]

[edit] Macro constants

Defined in header `<cmath>`
HUGE_VALFHUGE_VALHUGE_VALL (C++11)(C++11)	indicates the overflow value for float, double and long double respectively (macro constant) [edit]
INFINITY (C++11)	evaluates to positive infinity or the value guaranteed to overflow a float (macro constant) [edit]
NAN (C++11)	evaluates to a quiet NaN of type float (macro constant) [edit]
math_errhandlingMATH_ERRNOMATH_ERREXCEPT (C++11)(C++11)(C++11)	defines the error handling mechanism used by the common mathematical functions (macro constant) [edit]
Classification
FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN (C++11)(C++11)(C++11)(C++11)(C++11)	indicates a floating-point category (macro constant) [edit]

[edit] See also

Mathematical special functions
C documentation for Common mathematical functions

Language
Standard library headers
Concepts
Utilities library
Strings library
Containers library
Algorithms library
Iterators library
Numerics library
Input/output library
Localizations library
Regular expressions library (C++11)
Atomic operations library (C++11)
Thread support library (C++11)
Filesystem library (C++17)
Technical Specifications

Common mathematical functions
Special mathematical functions
Floating-point environment (C++11)
Complex numbers
Numeric arrays
Pseudo-random number generation
Compile-time rational arithmetic (C++11)
Numeric algorithms
gcd (C++17)
lcm (C++17)
Generic numeric operations
iota (C++11)
accumulate
inner_product
adjacent_difference
partial_sum

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Common mathematical functions

Contents

[edit] Functions

Basic operations

Exponential functions

Power functions

Trigonometric functions

Hyperbolic functions

Error and gamma functions

Nearest integer floating point operations

Floating point manipulation functions

Classification and comparison

[edit] Types

[edit] Macro constants

Classification

[edit] See also

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