Common mathematical functions

 

C++

Compiler support

Freestanding and hosted

Language

Standard library

Standard library headers

Named requirements

Feature test macros (C++20)

Language support library

Concepts library (C++20)

Metaprogramming library (C++11)

Diagnostics library

General utilities library

Strings library

Containers library

Iterators library

Ranges library (C++20)

Algorithms library

Numerics library

Localizations library

Input/output library

Filesystem library (C++17)

Regular expressions library (C++11)

Concurrency support library (C++11)

Execution support library (C++26)

Technical specifications

Symbols index

External libraries

 

Numerics library

Common mathematical functions
Mathematical special functions (C++17)
Mathematical constants (C++20)
Basic linear algebra algorithms (C++26)
Floating-point environment (C++11)
Complex numbers
Numeric array (valarray)
Pseudo-random number generation
Factor operations
gcd (C++17)	lcm (C++17)
Interpolations
midpoint (C++20)	lerp (C++20)
Saturation arithmetic
add_sat (C++26) sub_sat (C++26) saturate_cast (C++26)	mul_sat (C++26) div_sat (C++26)
Generic numeric operations
iota (C++11) ranges::iota (C++23) accumulate inner_product adjacent_difference partial_sum	reduce (C++17) transform_reduce (C++17) inclusive_scan (C++17) exclusive_scan (C++17) transform_inclusive_scan (C++17) transform_exclusive_scan (C++17)
Bit operations
has_single_bit (C++20)     bit_cast (C++20) bit_ceil (C++20) bit_floor (C++20) bit_width (C++20) rotl (C++20) rotr (C++20)	popcount (C++20) countl_zero (C++20) countl_one (C++20) countr_zero (C++20) countr_one (C++20) byteswap (C++23) endian (C++20)

 

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 and 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)
Types
div_t ldiv_t lldiv_t (C++11)	imaxdiv_t (C++11) float_t (C++11) double_t (C++11)
Macro constants
HUGE_VALFHUGE_VALHUGE_VALL (C++11)(C++11) math_errhandlingMATH_ERRNOMATH_ERREXCEPT (C++11)   INFINITY (C++11) NAN (C++11)	Classification FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN (C++11)(C++11)(C++11)(C++11)(C++11)

 

Functions

Template:cpp/numeric/math/dcl list absTemplate:cpp/numeric/math/dcl list fabsTemplate:cpp/numeric/math/dcl list divTemplate:cpp/numeric/math/dcl list fmodTemplate:cpp/numeric/math/dcl list remainderTemplate:cpp/numeric/math/dcl list remquoTemplate:cpp/numeric/math/dcl list fmaTemplate:cpp/numeric/math/dcl list fmaxTemplate:cpp/numeric/math/dcl list fminTemplate:cpp/numeric/math/dcl list fdimTemplate:cpp/numeric/math/dcl list fnanTemplate:cpp/numeric/math/dcl list expTemplate:cpp/numeric/math/dcl list exp2Template:cpp/numeric/math/dcl list expm1Template:cpp/numeric/math/dcl list logTemplate:cpp/numeric/math/dcl list log10Template:cpp/numeric/math/dcl list log1pTemplate:cpp/numeric/math/dcl list log2Template:cpp/numeric/math/dcl list sqrtTemplate:cpp/numeric/math/dcl list cbrtTemplate:cpp/numeric/math/dcl list hypotTemplate:cpp/numeric/math/dcl list powTemplate:cpp/numeric/math/dcl list sinTemplate:cpp/numeric/math/dcl list cosTemplate:cpp/numeric/math/dcl list tanTemplate:cpp/numeric/math/dcl list asinTemplate:cpp/numeric/math/dcl list acosTemplate:cpp/numeric/math/dcl list atanTemplate:cpp/numeric/math/dcl list atan2Template:cpp/numeric/math/dcl list sinhTemplate:cpp/numeric/math/dcl list coshTemplate:cpp/numeric/math/dcl list tanhTemplate:cpp/numeric/math/dcl list asinhTemplate:cpp/numeric/math/dcl list acoshTemplate:cpp/numeric/math/dcl list atanhTemplate:cpp/numeric/math/dcl list erfTemplate:cpp/numeric/math/dcl list erfcTemplate:cpp/numeric/math/dcl list lgammaTemplate:cpp/numeric/math/dcl list tgammaTemplate:cpp/numeric/math/dcl list ceilTemplate:cpp/numeric/math/dcl list floorTemplate:cpp/numeric/math/dcl list truncTemplate:cpp/numeric/math/dcl list roundTemplate:cpp/numeric/math/dcl list nearbyintTemplate:cpp/numeric/math/dcl list rintTemplate:cpp/numeric/math/dcl list frexpTemplate:cpp/numeric/math/dcl list ldexpTemplate:cpp/numeric/math/dcl list modfTemplate:cpp/numeric/math/dcl list scalbnTemplate:cpp/numeric/math/dcl list ilogbTemplate:cpp/numeric/math/dcl list logbTemplate:cpp/numeric/math/dcl list nextafterTemplate:cpp/numeric/math/dcl list copysignTemplate:cpp/numeric/math/dcl list fpclassifyTemplate:cpp/numeric/math/dcl list isfiniteTemplate:cpp/numeric/math/dcl list isinfTemplate:cpp/numeric/math/dcl list isnanTemplate:cpp/numeric/math/dcl list isnormalTemplate:cpp/numeric/math/dcl list signbit

Defined in header <cmath>

Basic operations

Exponential functions

Power functions

Trigonometric functions

Hyperbolic functions

Error and gamma functions

Nearest integer floating point operations

Floating point manipulation functions

Classification

Types

Defined in header <cmath>
float_t	most efficient floating-point type at least as wide as float
double_t	most efficient floating-point type at least as wide as double
Defined in header <cstdlib>
div_t	structure type, return of the std::div function
ldiv_t	structure type, return of the std::ldiv function
lldiv_t	structure type, return of the std::lldiv function
Defined in header <cinttypes>
imaxdiv_t	structure type, return of the std::imaxdiv function

Macro constants

Template:cpp/numeric/math/dcl list HUGE VAL} Template:cpp/numeric/math/dcl list FP categories

Defined in header <cmath>
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
Defined in header <cfloat>
FLT_EVAL_METHOD (C++11)	specifies which types are aliased to float_t and double_t (macro constant)