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Common mathematical functions

Functions

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Defined in header <stdlib.h>
+
(C99)
computes absolute value of an integral value (\(\small{|x|}\)|x|)
(function)
+
(C99)
computes quotient and remainder of integer division
(function)
Defined in header <inttypes.h>
+
(C99)
computes absolute value of an integral value (\(\small{|x|}\)|x|)
(function)
+
(C99)
computes quotient and remainder of integer division
(function)
Defined in header <math.h>
Basic operations
+
(C99)(C99)
computes absolute value of a floating-point value (\(\small{|x|}\)|x|)
(function)
+
(C99)(C99)
computes remainder of the floating-point division operation
(function)
+
(C99)(C99)(C99)
computes signed remainder of the floating-point division operation
(function)
+
(C99)(C99)(C99)
computes signed remainder as well as the three last bits of the division operation
(function)
+
(C99)(C99)(C99)
computes fused multiply-add operation
(function)
+
(C99)(C99)(C99)
determines larger of two floating-point values
(function)
+
(C99)(C99)(C99)
determines smaller of two floating-point values
(function)
+
(C99)(C99)(C99)
determines positive difference of two floating-point values (\({\small\max{(0, x-y)} }\)max(0, x-y))
(function)
+
(C99)(C99)(C99)
returns a NaN (not-a-number)
(function)
Exponential functions
+
(C99)(C99)
computes e raised to the given power (\({\small e^x}\)ex)
(function)
+
(C99)(C99)(C99)
computes 2 raised to the given power (\({\small 2^x}\)2x)
(function)
+
(C99)(C99)(C99)
computes e raised to the given power, minus one (\({\small e^x-1}\)ex-1)
(function)
+
(C99)(C99)
computes natural (base-e) logarithm (\({\small \ln{x} }\)ln(x))
(function)
+
(C99)(C99)
computes common (base-10) logarithm (\({\small \log_{10}{x} }\)log10(x))
(function)
+
(C99)(C99)(C99)
computes base-2 logarithm (\({\small \log_{2}{x} }\)log2(x))
(function)
+
(C99)(C99)(C99)
computes natural (base-e) logarithm of 1 plus the given number (\({\small \ln{(1+x)} }\)ln(1+x))
(function)
Power functions
+
(C99)(C99)
computes a number raised to the given power (\(\small{x^y}\)xy)
(function)
+
(C99)(C99)
computes square root (\(\small{\sqrt{x} }\)x)
(function)
+
(C99)(C99)(C99)
computes cube root (\(\small{\sqrt[3]{x} }\)3x)
(function)
+
(C99)(C99)(C99)
computes square root of the sum of the squares of two given numbers (\(\scriptsize{\sqrt{x^2+y^2} }\)x2+y2)
(function)
Trigonometric functions
+
(C99)(C99)
computes sine (\({\small\sin{x} }\)sin(x))
(function)
+
(C99)(C99)
computes cosine (\({\small\cos{x} }\)cos(x))
(function)
+
(C99)(C99)
computes tangent (\({\small\tan{x} }\)tan(x))
(function)
+
(C99)(C99)
computes arc sine (\({\small\arcsin{x} }\)arcsin(x))
(function)
+
(C99)(C99)
computes arc cosine (\({\small\arccos{x} }\)arccos(x))
(function)
+
(C99)(C99)
computes arc tangent (\({\small\arctan{x} }\)arctan(x))
(function)
+
(C99)(C99)
computes arc tangent, using signs to determine quadrants
(function)
Hyperbolic functions
+
(C99)(C99)
computes hyperbolic sine (\({\small\sinh{x} }\)sinh(x))
(function)
+
(C99)(C99)
computes hyperbolic cosine (\({\small\cosh{x} }\)cosh(x))
(function)
+
(C99)(C99)
computes hyperbolic tangent (\({\small\tanh{x} }\)tanh(x))
(function)
+
(C99)(C99)(C99)
computes inverse hyperbolic sine (\({\small\operatorname{arsinh}{x} }\)arsinh(x))
(function)
+
(C99)(C99)(C99)
computes inverse hyperbolic cosine (\({\small\operatorname{arcosh}{x} }\)arcosh(x))
(function)
+
(C99)(C99)(C99)
computes inverse hyperbolic tangent (\({\small\operatorname{artanh}{x} }\)artanh(x))
(function)
Error and gamma functions
+
(C99)(C99)(C99)
computes error function
(function)
+
(C99)(C99)(C99)
computes complementary error function
(function)
+
(C99)(C99)(C99)
computes gamma function
(function)
+
(C99)(C99)(C99)
computes natural (base-e) logarithm of the gamma function
(function)
Nearest integer floating-point operations
+
(C99)(C99)
computes smallest integer not less than the given value
(function)
+
(C99)(C99)
computes largest integer not greater than the given value
(function)
+
(C99)(C99)(C99)
rounds to nearest integer not greater in magnitude than the given value
(function)
+
(C99)(C99)(C99)(C99)(C99)(C99)(C99)(C99)(C99)
rounds to nearest integer, rounding away from zero in halfway cases
(function)
+
(C99)(C99)(C99)
rounds to an integer using current rounding mode
(function)
+
(C99)(C99)(C99)(C99)(C99)(C99)(C99)(C99)(C99)
rounds to an integer using current rounding mode with
exception if the result differs
(function)
Floating-point manipulation functions
+
(C99)(C99)
breaks a number into significand and a power of 2
(function)
+
(C99)(C99)
multiplies a number by 2 raised to a power
(function)
+
(C99)(C99)
breaks a number into integer and fractional parts
(function)
+
(C99)(C99)(C99)(C99)(C99)(C99)
computes efficiently a number times FLT_RADIX raised to a power
(function)
+
(C99)(C99)(C99)
extracts exponent of the given number
(function)
+
(C99)(C99)(C99)
extracts exponent of the given number
(function)
+
(C99)(C99)(C99)(C99)(C99)(C99)
determines next representable floating-point value towards the given value
(function)
+
(C99)(C99)(C99)
produces a value with the magnitude of a given value and the sign of another given value
(function)
Classification and comparison
+
(C99)
classifies the given floating-point value
(function macro)
+
(C99)
checks if the given number has finite value
(function macro)
+
(C99)
checks if the given number is infinite
(function macro)
+
(C99)
checks if the given number is NaN
(function macro)
+
(C99)
checks if the given number is normal
(function macro)
+
(C99)
checks if the given number is negative
(function macro)
+
(C99)
checks if the first floating-point argument is greater than the second
(function macro)
+
(C99)
checks if the first floating-point argument is greater or equal than the second
(function macro)
+
(C99)
checks if the first floating-point argument is less than the second
(function macro)
+
(C99)
checks if the first floating-point argument is less or equal than the second
(function macro)
+
(C99)
checks if the first floating-point argument is less or greater than the second
(function macro)
+
(C99)
checks if two floating-point values are unordered
(function macro)

Types

+ + + + + + + +
Defined in header <stdlib.h>
structure type, return of the div function
(typedef)
structure type, return of the ldiv function
(typedef)
+
(C99)
structure type, return of the lldiv function
(typedef)
Defined in header <inttypes.h>
+
(C99)
structure type, return of the imaxdiv function
(typedef)
Defined in header <math.h>
+
(C99)(C99)
most efficient floating-point type at least as wide as float or double
(typedef)

Macro constants

+ + + + + + + + +
Defined in header <math.h>
+
(C99)(C99)
indicates value too big to be representable (infinity) by float, double and long double respectively
(macro constant)
+
(C99)
evaluates to positive infinity or the value guaranteed to overflow a float
(macro constant)
+
(C99)
evaluates to a quiet NaN of type float
(macro constant)
+
(C99)(C99)(C99)
indicates that the fma function generally executes about as fast as, or faster than, a multiply and an add of double operands
(macro constant)
+
(C99)(C99)
evaluates to ilogb(x) if x is zero or NaN, respectively
(macro constant)
+
(C99)(C99)(C99)
defines the error handling mechanism used by the common mathematical functions
(macro constant)
Classification
+
(C99)(C99)(C99)(C99)(C99)
indicates a floating-point category
(macro constant)

References

See also

+
C++ documentation for Common mathematical functions
+

+ © cppreference.com
Licensed under the Creative Commons Attribution-ShareAlike Unported License v3.0.
+ https://en.cppreference.com/w/c/numeric/math +

+
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