Common mathematical functions
Functions
Defined in header <cstdlib> |
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(C++11)
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computes absolute value of an integral value (\(\small{|x|}\)|x|) (function) |
(C++11)
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computes quotient and remainder of integer division (function) |
Defined in header <cinttypes> |
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(C++11)(C++11)
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computes absolute value of an integral value (\(\small{|x|}\)|x|) (function) |
(C++11)(C++11)
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computes quotient and remainder of integer division (function) |
Defined in header <cmath> |
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Basic operations |
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(C++11)(C++11)
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absolute value of a floating point value (\(\small{|x|}\)|x|) (function) |
(C++11)(C++11)
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remainder of the floating point division operation (function) |
(C++11)(C++11)(C++11)
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signed remainder of the division operation (function) |
(C++11)(C++11)(C++11)
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signed remainder as well as the three last bits of the division operation (function) |
(C++11)(C++11)(C++11)
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fused multiply-add operation (function) |
(C++11)(C++11)(C++11)
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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)
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positive difference of two floating point values (\({\small\max{(0, x-y)} }\)max(0, x-y)) (function) |
(C++11)(C++11)(C++11)
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not-a-number (NaN) (function) |
Exponential functions |
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(C++11)(C++11)
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returns e raised to the given power (\({\small e^x}\)ex) (function) |
(C++11)(C++11)(C++11)
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returns 2 raised to the given power (\({\small 2^x}\)2x) (function) |
(C++11)(C++11)(C++11)
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returns e raised to the given power, minus one (\({\small e^x-1}\)ex-1) (function) |
(C++11)(C++11)
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computes natural (base e) logarithm (\({\small \ln{x} }\)ln(x)) (function) |
(C++11)(C++11)
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computes common (base 10) logarithm (\({\small \log_{10}{x} }\)log10(x)) (function) |
(C++11)(C++11)(C++11)
|
base 2 logarithm of the given number (\({\small \log_{2}{x} }\)log2(x)) (function) |
(C++11)(C++11)(C++11)
|
natural logarithm (to base e) of 1 plus the given number (\({\small \ln{(1+x)} }\)ln(1+x)) (function) |
Power functions |
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(C++11)(C++11)
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raises a number to the given power (\(\small{x^y}\)xy) (function) |
(C++11)(C++11)
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computes square root (\(\small{\sqrt{x} }\)√x) (function) |
(C++11)(C++11)(C++11)
|
computes cubic root (\(\small{\sqrt[3]{x} }\)3√x) (function) |
(C++11)(C++11)(C++11)
|
computes square root of the sum of the squares of two or three (C++17) given numbers (\(\scriptsize{\sqrt{x^2+y^2} }\)√x2 +y2 ), (\(\scriptsize{\sqrt{x^2+y^2+z^2} }\)√x2 +y2 +z2 ) (function) |
Trigonometric functions |
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(C++11)(C++11)
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computes sine (\({\small\sin{x} }\)sin(x)) (function) |
(C++11)(C++11)
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computes cosine (\({\small\cos{x} }\)cos(x)) (function) |
(C++11)(C++11)
|
computes tangent (\({\small\tan{x} }\)tan(x)) (function) |
(C++11)(C++11)
|
computes arc sine (\({\small\arcsin{x} }\)arcsin(x)) (function) |
(C++11)(C++11)
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computes arc cosine (\({\small\arccos{x} }\)arccos(x)) (function) |
(C++11)(C++11)
|
computes arc tangent (\({\small\arctan{x} }\)arctan(x)) (function) |
(C++11)(C++11)
|
arc tangent, using signs to determine quadrants (function) |
Hyperbolic functions |
|
(C++11)(C++11)
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computes hyperbolic sine (\({\small\sinh{x} }\)sinh(x)) (function) |
(C++11)(C++11)
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computes hyperbolic cosine (\({\small\cosh{x} }\)cosh(x)) (function) |
(C++11)(C++11)
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computes hyperbolic tangent (\({\small\tanh{x} }\)tanh(x)) (function) |
(C++11)(C++11)(C++11)
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computes the inverse hyperbolic sine (\({\small\operatorname{arsinh}{x} }\)arsinh(x)) (function) |
(C++11)(C++11)(C++11)
|
computes the inverse hyperbolic cosine (\({\small\operatorname{arcosh}{x} }\)arcosh(x)) (function) |
(C++11)(C++11)(C++11)
|
computes the inverse hyperbolic tangent (\({\small\operatorname{artanh}{x} }\)artanh(x)) (function) |
Error and gamma functions |
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(C++11)(C++11)(C++11)
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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 |
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(C++11)(C++11)
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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 |
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(C++11)(C++11)
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decomposes a number into significand and a power of 2 (function) |
(C++11)(C++11)
|
multiplies a number by 2 raised to a power (function) |
(C++11)(C++11)
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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)
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extracts exponent of the number (function) |
(C++11)(C++11)(C++11)
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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)
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copies the sign of a floating point value (function) |
Classification and comparison |
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(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)
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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) |
Types
Defined in header <cstdlib> |
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structure type, return of the std::div function (typedef) |
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structure type, return of the std::ldiv function (typedef) |
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(C++11)
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structure type, return of the std::lldiv function (typedef) |
Defined in header <cinttypes> |
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(C++11)
|
structure type, return of the std::imaxdiv function (typedef) |
Defined in header <cmath> |
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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) |
Macro constants
Defined in header <cmath> |
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(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) |
See also
Mathematical special functions | |
C documentation for Common mathematical functions |
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