Common mathematical functions - cppreference.com (2024)

Defined in header <stdlib.h>

computes absolute value of an integral value (|x|)
(function) [edit] computes quotient and remainder of integer division
(function) [edit]

Defined in header <inttypes.h>

computes absolute value of an integral value (|x|)
(function) [edit] computes quotient and remainder of integer division
(function) [edit]

Defined in header <math.h>

Basic operations

computes absolute value of a floating-point value (|x|)
(function) [edit] computes remainder of the floating-point division operation
(function) [edit] computes signed remainder of the floating-point division operation
(function) [edit] computes signed remainder as well as the three last bits of the division operation
(function) [edit] computes fused multiply-add operation
(function) [edit] determines larger of two floating-point values
(function) [edit] determines smaller of two floating-point values
(function) [edit] determines positive difference of two floating-point values (max(0, x-y))
(function) [edit] returns a NaN (not-a-number)
(function) [edit]

Exponential functions

computes e raised to the given power (e^x)
(function) [edit] computes 2 raised to the given power (2^x)
(function) [edit] computes e raised to the given power, minus one (e^x-1)
(function) [edit] computes natural (base-e) logarithm (ln(x))
(function) [edit] computes common (base-10) logarithm (log₁₀(x))
(function) [edit] computes base-2 logarithm (log₂(x))
(function) [edit] computes natural (base-e) logarithm of 1 plus the given number (ln(1+x))
(function) [edit]

Power functions

computes a number raised to the given power (x^y)
(function) [edit] computes square root (√x)
(function) [edit] computes cube root (3√x)
(function) [edit] computes square root of the sum of the squares of two given numbers (√x2
+y2
)
(function) [edit]

Trigonometric functions

computes sine (sin(x))
(function) [edit] computes cosine (cos(x))
(function) [edit] computes tangent (tan(x))
(function) [edit] computes arc sine (arcsin(x))
(function) [edit] computes arc cosine (arccos(x))
(function) [edit] computes arc tangent (arctan(x))
(function) [edit] computes arc tangent, using signs to determine quadrants
(function) [edit]

Hyperbolic functions

computes hyperbolic sine (sinh(x))
(function) [edit] computes hyperbolic cosine (cosh(x))
(function) [edit] computes hyperbolic tangent (tanh(x))
(function) [edit] computes inverse hyperbolic sine (arsinh(x))
(function) [edit] computes inverse hyperbolic cosine (arcosh(x))
(function) [edit] computes inverse hyperbolic tangent (artanh(x))
(function) [edit]

Error and gamma functions

computes error function
(function) [edit] computes complementary error function
(function) [edit] computes gamma function
(function) [edit] computes natural (base-e) logarithm of the gamma function
(function) [edit]

Nearest integer floating-point operations

computes smallest integer not less than the given value
(function) [edit] computes largest integer not greater than the given value
(function) [edit] rounds to nearest integer not greater in magnitude than the given value
(function) [edit] rounds to nearest integer, rounding away from zero in halfway cases
(function) [edit] rounds to an integer using current rounding mode
(function) [edit] rounds to an integer using current rounding mode with
exception if the result differs
(function) [edit]

Floating-point manipulation functions

breaks a number into significand and a power of 2
(function) [edit] multiplies a number by 2 raised to a power
(function) [edit] breaks a number into integer and fractional parts
(function) [edit] computes efficiently a number times FLT_RADIX raised to a power
(function) [edit] extracts exponent of the given number
(function) [edit] extracts exponent of the given number
(function) [edit] determines next representable floating-point value towards the given value
(function) [edit] produces a value with the magnitude of a given value and the sign of another given value
(function) [edit]

Classification and comparison

classifies the given floating-point value
(function macro) [edit] checks if the given number has finite value
(function macro) [edit] checks if the given number is infinite
(function macro) [edit] checks if the given number is NaN
(function macro) [edit] checks if the given number is normal
(function macro) [edit] checks if the given number is negative
(function macro) [edit] checks if the first floating-point argument is greater than the second
(function macro) [edit] checks if the first floating-point argument is greater or equal than the second
(function macro) [edit] checks if the first floating-point argument is less than the second
(function macro) [edit] checks if the first floating-point argument is less or equal than the second
(function macro) [edit] checks if the first floating-point argument is less or greater than the second
(function macro) [edit] checks if two floating-point values are unordered
(function macro) [edit]

Defined in header <stdlib.h>

structure type, return of the div function
(typedef) [edit] structure type, return of the ldiv function
(typedef) [edit] structure type, return of the lldiv function
(typedef) [edit]

Defined in header <inttypes.h>

structure type, return of the imaxdiv function
(typedef) [edit]

Defined in header <math.h>

most efficient floating-point type at least as wide as float or double
(typedef) [edit]

Defined in header <math.h>

indicates value too big to be representable (infinity) by float, double and long double respectively
(macro constant) [edit] evaluates to positive infinity or the value guaranteed to overflow a float
(macro constant) [edit] evaluates to a quiet NaN of type float
(macro constant) [edit] 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] evaluates to ilogb(x) if x is zero or NaN, respectively
(macro constant) [edit] defines the error handling mechanism used by the common mathematical functions
(macro constant) [edit]

Classification

indicates a floating-point category
(macro constant) [edit]