Common mathematical functions

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< cpp‎ | numeric
 
C++
 
Numerics library
Common mathematical functions
Special mathematical functions
Floating-point environment (C++11)
Complex numbers
Numeric arrays
Pseudo-random number generation
Compile-time rational arithmetic (C++11)
Numeric algorithms
(C++17)
(C++17)
Generic numeric operations
(C++11)
(C++17)
(C++17)
(C++17)
(C++17)
(C++17)
(C++17)
Bit operations
(C++20)
(C++20)
(C++20)
(C++20)
(C++20)
 
Common mathematical functions
Functions
Basic operations
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)(C++11)(C++11)
Exponential functions
(C++11)
(C++11)
(C++11)
(C++11)
Power functions
(C++11)
(C++11)
Trigonometric and hyperbolic functions
(C++11)
(C++11)
(C++11)
Error and gamma functions
(C++11)
(C++11)
(C++11)
(C++11)
Nearest integer floating point operations
(C++11)(C++11)(C++11)
(C++11)
(C++11)
(C++11)(C++11)(C++11)
Floating point manipulation functions
(C++11)(C++11)
(C++11)
(C++11)
(C++11)(C++11)
(C++11)
Classification/Comparison
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
Macro constants
(C++11)(C++11)(C++11)(C++11)(C++11)
 

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 cubic root (3√x)
(function)
(C++11)(C++11)(C++11)
 computes square root of the sum of the squares of two given numbers (√x2
+y2
)
(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 (sh(x))
(function)
(C++11)(C++11)
 computes hyperbolic cosine (ch(x))
(function)
(C++11)(C++11)
 hyperbolic tangent
(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 a power of 2
(function)
(C++11)(C++11)
 multiplies a number by 2 raised to a 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)

Types

Defined in header <cstdlib>
structure type, return of the std::div function
(typedef)
structure type, return of the std::ldiv function
(typedef)
(C++11)
 structure type, return of the std::lldiv function
(typedef)
Defined in header <cinttypes>
(C++11)
 structure type, return of the std::imaxdiv function
(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)

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)

See also

Mathematical special functions
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