Common mathematical functions
From cppreference.com
Contents |
[edit] Functions
Defined in header
<cstdlib> | |
(C++11) |
computes absolute value of an integral value (|x|) (function) |
(C++11) |
computes quotient and remainder of integer division (function) |
Defined in header
<cinttypes> | |
(C++11)(C++11) |
computes absolute value of an integral value (|x|) (function) |
(C++11)(C++11) |
computes quotient and remainder of integer division (function) |
Defined in header
<cmath> | |
Basic operations | |
(C++11)(C++11) |
absolute value of a floating point value (|x|) (function) |
(C++11)(C++11) |
remainder of the floating point division operation (function) |
(C++11)(C++11)(C++11) |
signed remainder of the division operation (function) |
(C++11)(C++11)(C++11) |
signed remainder as well as the three last bits of the division operation (function) |
(C++11)(C++11)(C++11) |
fused multiply-add operation (function) |
(C++11)(C++11)(C++11) |
larger of two floating-point values (function) |
(C++11)(C++11)(C++11) |
smaller of two floating point values (function) |
(C++11)(C++11)(C++11) |
positive difference of two floating point values (max(0, x-y)) (function) |
(C++11)(C++11)(C++11) |
not-a-number (NaN) (function) |
Exponential functions | |
(C++11)(C++11) |
returns e raised to the given power (ex) (function) |
(C++11)(C++11)(C++11) |
returns 2 raised to the given power (2x) (function) |
(C++11)(C++11)(C++11) |
returns e raised to the given power, minus one (ex-1) (function) |
(C++11)(C++11) |
computes natural (base e) logarithm (ln(x)) (function) |
(C++11)(C++11) |
computes common (base 10) logarithm (log10(x)) (function) |
(C++11)(C++11)(C++11) |
base 2 logarithm of the given number (log2(x)) (function) |
(C++11)(C++11)(C++11) |
natural logarithm (to base e) of 1 plus the given number (ln(1+x)) (function) |
Power functions | |
(C++11)(C++11) |
raises a number to the given power (xy) (function) |
(C++11)(C++11) |
computes square root (√x) (function) |
(C++11)(C++11)(C++11) |
computes cube root (3√x) (function) |
(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) |
Trigonometric functions | |
(C++11)(C++11) |
computes sine (sin(x)) (function) |
(C++11)(C++11) |
computes cosine (cos(x)) (function) |
(C++11)(C++11) |
computes tangent (tan(x)) (function) |
(C++11)(C++11) |
computes arc sine (arcsin(x)) (function) |
(C++11)(C++11) |
computes arc cosine (arccos(x)) (function) |
(C++11)(C++11) |
computes arc tangent (arctan(x)) (function) |
(C++11)(C++11) |
arc tangent, using signs to determine quadrants (function) |
Hyperbolic functions | |
(C++11)(C++11) |
computes hyperbolic sine (sinh(x)) (function) |
(C++11)(C++11) |
computes hyperbolic cosine (cosh(x)) (function) |
(C++11)(C++11) |
computes hyperbolic tangent (tanh(x)) (function) |
(C++11)(C++11)(C++11) |
computes the inverse hyperbolic sine (arsinh(x)) (function) |
(C++11)(C++11)(C++11) |
computes the inverse hyperbolic cosine (arcosh(x)) (function) |
(C++11)(C++11)(C++11) |
computes the inverse hyperbolic tangent (artanh(x)) (function) |
Error and gamma functions | |
(C++11)(C++11)(C++11) |
error function (function) |
(C++11)(C++11)(C++11) |
complementary error function (function) |
(C++11)(C++11)(C++11) |
gamma function (function) |
(C++11)(C++11)(C++11) |
natural logarithm of the gamma function (function) |
Nearest integer floating point operations | |
(C++11)(C++11) |
nearest integer not less than the given value (function) |
(C++11)(C++11) |
nearest integer not greater than the given value (function) |
(C++11)(C++11)(C++11) |
nearest integer not greater in magnitude than the given value (function) |
(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) |
(C++11)(C++11)(C++11) |
nearest integer using current rounding mode (function) |
(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) |
Floating point manipulation functions | |
(C++11)(C++11) |
decomposes a number into significand and base-2 exponent (function) |
(C++11)(C++11) |
multiplies a number by 2 raised to an integral power (function) |
(C++11)(C++11) |
decomposes a number into integer and fractional parts (function) |
(C++11)(C++11)(C++11)(C++11)(C++11)(C++11) |
multiplies a number by FLT_RADIX raised to a power (function) |
(C++11)(C++11)(C++11) |
extracts exponent of the number (function) |
(C++11)(C++11)(C++11) |
extracts exponent of the number (function) |
(C++11)(C++11)(C++11)(C++11)(C++11)(C++11) |
next representable floating-point value towards the given value (function) |
(C++11)(C++11)(C++11) |
copies the sign of a floating point value (function) |
Classification and comparison | |
(C++11) |
categorizes the given floating-point value (function) |
(C++11) |
checks if the given number has finite value (function) |
(C++11) |
checks if the given number is infinite (function) |
(C++11) |
checks if the given number is NaN (function) |
(C++11) |
checks if the given number is normal (function) |
(C++11) |
checks if the given number is negative (function) |
(C++11) |
checks if the first floating-point argument is greater than the second (function) |
(C++11) |
checks if the first floating-point argument is greater or equal than the second (function) |
(C++11) |
checks if the first floating-point argument is less than the second (function) |
(C++11) |
checks if the first floating-point argument is less or equal than the second (function) |
(C++11) |
checks if the first floating-point argument is less or greater than the second (function) |
(C++11) |
checks if two floating-point values are unordered (function) |
[edit] Types
Defined in header
<cstdlib> | |
structure type, returned by std::div (typedef) | |
structure type, returned by std::ldiv (typedef) | |
(C++11) |
structure type, returned by std::lldiv (typedef) |
Defined in header
<cinttypes> | |
(C++11) |
structure type, returned by std::imaxdiv (typedef) |
Defined in header
<cmath> | |
float_t (C++11) |
most efficient floating-point type at least as wide as float (typedef) |
double_t (C++11) |
most efficient floating-point type at least as wide as double (typedef) |
[edit] Macro constants
Defined in header
<cmath> | |
(C++11)(C++11) |
indicates the overflow value for float, double and long double respectively (macro constant) |
(C++11) |
evaluates to positive infinity or the value guaranteed to overflow a float (macro constant) |
(C++11) |
evaluates to a quiet NaN of type float (macro constant) |
(C++11)(C++11)(C++11) |
defines the error handling mechanism used by the common mathematical functions (macro constant) |
Classification | |
(C++11)(C++11)(C++11)(C++11)(C++11) |
indicates a floating-point category (macro constant) |
[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
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