Standard library header <math.h>

This section is incomplete
Reason: recheck add more from B.11 Mathematics <math.h>

• 1 Types
• 2 Constants
  • 2.1 Classification
• 3 Functions
  • 3.1 Basic operations
  • 3.2 Exponential functions
  • 3.3 Power functions
  • 3.4 Trigonometric functions
  • 3.5 Hyperbolic functions
  • 3.6 Error and gamma functions
  • 3.7 Nearest integer floating-point operations
  • 3.8 Floating-point manipulation functions
  • 3.9 Classification and comparison
• 4 Synopsis

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

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

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]

Basic operations

computes absolute value of a floating-point value (\(\small{|x|}\)|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 (\({\small\max{(0, x-y)} }\)max(0, x-y))
(function) [edit]

returns a NaN (not-a-number)
(function) [edit]

Exponential functions

computes e raised to the given power (\({\small e^x}\)e^x)
(function) [edit]

computes 2 raised to the given power (\({\small 2^x}\)2^x)
(function) [edit]

computes e raised to the given power, minus one (\({\small e^x-1}\)e^x-1)
(function) [edit]

computes natural (base-e) logarithm (\({\small \ln{x} }\)ln(x))
(function) [edit]

computes common (base-10) logarithm (\({\small \log_{10}{x} }\)log₁₀(x))
(function) [edit]

computes base-2 logarithm (\({\small \log_{2}{x} }\)log₂(x))
(function) [edit]

computes natural (base-e) logarithm of 1 plus the given number (\({\small \ln{(1+x)} }\)ln(1+x))
(function) [edit]

Power functions

computes a number raised to the given power (\(\small{x^y}\)x^y)
(function) [edit]

computes square root (\(\small{\sqrt{x} }\)√x)
(function) [edit]

computes cube root (\(\small{\sqrt[3]{x} }\)3√x)
(function) [edit]

computes square root of the sum of the squares of two given numbers (\(\scriptsize{\sqrt{x^2+y^2} }\)√x2
+y2
)
(function) [edit]

Trigonometric functions

computes sine (\({\small\sin{x} }\)sin(x))
(function) [edit]

computes cosine (\({\small\cos{x} }\)cos(x))
(function) [edit]

computes tangent (\({\small\tan{x} }\)tan(x))
(function) [edit]

computes arc sine (\({\small\arcsin{x} }\)arcsin(x))
(function) [edit]

computes arc cosine (\({\small\arccos{x} }\)arccos(x))
(function) [edit]

computes arc tangent (\({\small\arctan{x} }\)arctan(x))
(function) [edit]

computes arc tangent, using signs to determine quadrants
(function) [edit]

Hyperbolic functions

computes hyperbolic sine (\({\small\sinh{x} }\)sinh(x))
(function) [edit]

computes hyperbolic cosine (\({\small\cosh{x} }\)cosh(x))
(function) [edit]

computes hyperbolic tangent (\({\small\tanh{x} }\)tanh(x))
(function) [edit]

computes inverse hyperbolic sine (\({\small\operatorname{arsinh}{x} }\)arsinh(x))
(function) [edit]

computes inverse hyperbolic cosine (\({\small\operatorname{arcosh}{x} }\)arcosh(x))
(function) [edit]

computes inverse hyperbolic tangent (\({\small\operatorname{artanh}{x} }\)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]

This section is incomplete
Reason:

• add synopses from B.11 Mathematics <math.h>
• place obligatory and optional parts in different sections

#define __STDC_VERSION_MATH_H__ 202311L
// TODO: ...