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std::log, std::logf, std::logl

Defined in header `<cmath>`
	(1)
float log ( float num ); double log ( double num ); long double log ( long double num );		(until C++23)
/* floating-point-type / log ( / floating-point-type */ num );		(since C++23) (constexpr since C++26)
float logf( float num );	(2)	(since C++11) (constexpr since C++26)
long double logl( long double num );	(3)	(since C++11) (constexpr since C++26)
Additional overloads (since C++11)
Defined in header `<cmath>`
template< class Integer > double log ( Integer num );	(A)	(constexpr since C++26)

1-3) Computes the natural (base e) logarithm of num. The library provides overloads of std::log for all cv-unqualified floating-point types as the type of the parameter. (since C++23)

double

(since C++11)

Parameters

num

floating-point or integer value

Return value

If no errors occur, the natural (base-e) logarithm of num (ln(num) or log
e(num)) is returned.

If a domain error occurs, an implementation-defined value is returned (NaN where supported).

If a pole error occurs, -HUGE_VAL, -HUGE_VALF, or -HUGE_VALL is returned.

Error handling

Errors are reported as specified in math_errhandling.

Domain error occurs if num is less than zero.

Pole error may occur if num is zero.

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

If the argument is ±0, -∞ is returned and FE_DIVBYZERO is raised.
If the argument is 1, +0 is returned
If the argument is negative, NaN is returned and FE_INVALID is raised.
If the argument is +∞, +∞ is returned
If the argument is NaN, NaN is returned

Notes

The additional overloads are not required to be provided exactly as (A). They only need to be sufficient to ensure that for their argument num of integer type, std::log(num) has the same effect as std::log(static_cast<double>(num)).

Example

#include <cerrno>
#include <cfenv>
#include <cstring>
#include <cmath>
#include <iostream>
 
// #pragma STDC FENV_ACCESS ON
 
int main()
{
    std::cout << "log(1) = " << std::log(1) << '\n'
              << "base-5 logarithm of 125 = " << std::log(125) / std::log(5) << '\n';
 
    // special values
    std::cout << "log(1) = " << std::log(1) << '\n'
              << "log(+Inf) = " << std::log(INFINITY) << '\n';
 
    // error handling
    errno = 0;
    std::feclearexcept(FE_ALL_EXCEPT);
 
    std::cout << "log(0) = " << std::log(0) << '\n';
 
    if (errno == ERANGE)
        std::cout << "    errno == ERANGE: " << std::strerror(errno) << '\n';
    if (std::fetestexcept(FE_DIVBYZERO))
        std::cout << "    FE_DIVBYZERO raised\n";
}

Possible output:

log(1) = 0
base-5 logarithm of 125 = 3
log(1) = 0
log(+Inf) = inf
log(0) = -inf
    errno == ERANGE: Numerical result out of range
    FE_DIVBYZERO raised

log10log10flog10l (C++11)(C++11)	computes common (base 10) logarithm (\({\small \log_{10}{x} }\)log₁₀(x)) (function)
log2log2flog2l (C++11)(C++11)(C++11)	base 2 logarithm of the given number (\({\small \log_{2}{x} }\)log₂(x)) (function)
log1plog1pflog1pl (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)
expexpfexpl (C++11)(C++11)	returns e raised to the given power (\({\small e^x}\)e^x) (function)
log(std::complex)	complex natural logarithm with the branch cuts along the negative real axis (function template)
log(std::valarray)	applies the function `std::log` to each element of valarray (function template)
C documentation for `log`