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Common mathematical functions

From cppreference.com
< cpp‎ | numeric
 
 
 
Common mathematical functions
 

Contents

[edit] Functions

Defined in header <cstdlib>
computes absolute value of an integral value (|x|)
(function) [edit]
computes quotient and remainder of integer division
(function) [edit]
Defined in header <cinttypes>
computes absolute value of an integral value (|x|)
(function) [edit]
computes quotient and remainder of integer division
(function) [edit]
Defined in header <cmath>
Basic operations
absolute value of a floating point value (|x|)
(function) [edit]
(C++11)(C++11)
remainder of the floating point division operation
(function) [edit]
(C++11)(C++11)(C++11)
signed remainder of the division operation
(function) [edit]
(C++11)(C++11)(C++11)
signed remainder as well as the three last bits of the division operation
(function) [edit]
(C++11)(C++11)(C++11)
fused multiply-add operation
(function) [edit]
(C++11)(C++11)(C++11)
larger of two floating-point values
(function) [edit]
(C++11)(C++11)(C++11)
smaller of two floating point values
(function) [edit]
(C++11)(C++11)(C++11)
positive difference of two floating point values (max(0, x-y))
(function) [edit]
(C++11)(C++11)(C++11)
not-a-number (NaN)
(function) [edit]
Exponential functions
(C++11)(C++11)
returns e raised to the given power (ex)
(function) [edit]
(C++11)(C++11)(C++11)
returns 2 raised to the given power (2x)
(function) [edit]
(C++11)(C++11)(C++11)
returns e raised to the given power, minus one (ex-1)
(function) [edit]
(C++11)(C++11)
computes natural (base e) logarithm (ln(x))
(function) [edit]
(C++11)(C++11)
computes common (base 10) logarithm (log10(x))
(function) [edit]
(C++11)(C++11)(C++11)
base 2 logarithm of the given number (log2(x))
(function) [edit]
(C++11)(C++11)(C++11)
natural logarithm (to base e) of 1 plus the given number (ln(1+x))
(function) [edit]
Power functions
(C++11)(C++11)
raises a number to the given power (xy)
(function) [edit]
(C++11)(C++11)
computes square root (x)
(function) [edit]
(C++11)(C++11)(C++11)
computes cube root (3x)
(function) [edit]
(C++11)(C++11)(C++11)
computes square root of the sum of the squares of two or three(since C++17) given numbers (x2
+y2
), (x2
+y2
+z2
)
(since C++17)

(function) [edit]
Trigonometric functions
(C++11)(C++11)
computes sine (sin(x))
(function) [edit]
(C++11)(C++11)
computes cosine (cos(x))
(function) [edit]
(C++11)(C++11)
computes tangent (tan(x))
(function) [edit]
(C++11)(C++11)
computes arc sine (arcsin(x))
(function) [edit]
(C++11)(C++11)
computes arc cosine (arccos(x))
(function) [edit]
(C++11)(C++11)
computes arc tangent (arctan(x))
(function) [edit]
(C++11)(C++11)
arc tangent, using signs to determine quadrants
(function) [edit]
Hyperbolic functions
(C++11)(C++11)
computes hyperbolic sine (sinh(x))
(function) [edit]
(C++11)(C++11)
computes hyperbolic cosine (cosh(x))
(function) [edit]
(C++11)(C++11)
computes hyperbolic tangent (tanh(x))
(function) [edit]
(C++11)(C++11)(C++11)
computes the inverse hyperbolic sine (arsinh(x))
(function) [edit]
(C++11)(C++11)(C++11)
computes the inverse hyperbolic cosine (arcosh(x))
(function) [edit]
(C++11)(C++11)(C++11)
computes the inverse hyperbolic tangent (artanh(x))
(function) [edit]
Error and gamma functions
(C++11)(C++11)(C++11)
error function
(function) [edit]
(C++11)(C++11)(C++11)
complementary error function
(function) [edit]
(C++11)(C++11)(C++11)
gamma function
(function) [edit]
(C++11)(C++11)(C++11)
natural logarithm of the gamma function
(function) [edit]
Nearest integer floating point operations
(C++11)(C++11)
nearest integer not less than the given value
(function) [edit]
(C++11)(C++11)
nearest integer not greater than the given value
(function) [edit]
(C++11)(C++11)(C++11)
nearest integer not greater in magnitude than the given value
(function) [edit]
(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) [edit]
(C++11)(C++11)(C++11)
nearest integer using current rounding mode
(function) [edit]
(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) [edit]
Floating point manipulation functions
(C++11)(C++11)
decomposes a number into significand and base-2 exponent
(function) [edit]
(C++11)(C++11)
multiplies a number by 2 raised to an integral power
(function) [edit]
(C++11)(C++11)
decomposes a number into integer and fractional parts
(function) [edit]
(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)
multiplies a number by FLT_RADIX raised to a power
(function) [edit]
(C++11)(C++11)(C++11)
extracts exponent of the number
(function) [edit]
(C++11)(C++11)(C++11)
extracts exponent of the number
(function) [edit]
(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)
next representable floating-point value towards the given value
(function) [edit]
(C++11)(C++11)(C++11)
copies the sign of a floating point value
(function) [edit]
Classification and comparison
categorizes the given floating-point value
(function) [edit]
(C++11)
checks if the given number has finite value
(function) [edit]
(C++11)
checks if the given number is infinite
(function) [edit]
(C++11)
checks if the given number is NaN
(function) [edit]
(C++11)
checks if the given number is normal
(function) [edit]
(C++11)
checks if the given number is negative
(function) [edit]
(C++11)
checks if the first floating-point argument is greater than the second
(function) [edit]
checks if the first floating-point argument is greater or equal than the second
(function) [edit]
(C++11)
checks if the first floating-point argument is less than the second
(function) [edit]
checks if the first floating-point argument is less or equal than the second
(function) [edit]
checks if the first floating-point argument is less or greater than the second
(function) [edit]
checks if two floating-point values are unordered
(function) [edit]

[edit] Types

Defined in header <cstdlib>
structure type, returned by std::div
(typedef) [edit]
structure type, returned by std::ldiv
(typedef) [edit]
(C++11)
structure type, returned by std::lldiv
(typedef) [edit]
Defined in header <cinttypes>
(C++11)
structure type, returned by std::imaxdiv
(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>
indicates the overflow value for float, double and long double respectively
(macro constant) [edit]
(C++11)
evaluates to positive infinity or the value guaranteed to overflow a float
(macro constant) [edit]
(C++11)
evaluates to a quiet NaN of type float
(macro constant) [edit]
defines the error handling mechanism used by the common mathematical functions
(macro constant) [edit]
Classification
(C++11)(C++11)(C++11)(C++11)(C++11)
indicates a floating-point category
(macro constant) [edit]

[edit] Notes

Feature-test macro Value Std Feature
__cpp_lib_constexpr_cmath 202202L (C++23) Constexpr for FP environment agnostic mathematical functions in <cmath> and <cstdlib>
202306L (C++26) Constexpr for most mathematical functions in <cmath>

[edit] See also

Mathematical special functions
C documentation for Common mathematical functions