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

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Common mathematical functions
Nearest integer floating point operations
(C++11)
(C++11)
(C++11) (C++11) (C++11)
Floating point manipulation functions
(C++11) (C++11)
(C++11)
(C++11)
Classification and comparison
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
Types
(C++11)
(C++11)
(C++11)
Macro constants
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)
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)
A) Additional overloads are provided for all integer types, which are treated as 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 <cmath>
#include <cstring>
#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

See also

(C++11) (C++11)
computes common (base 10 ) logarithm ( log 10 (x) )
(function)
(C++11) (C++11) (C++11)
base 2 logarithm of the given number ( log 2 (x) )
(function)
(C++11) (C++11) (C++11)
natural logarithm (to base e ) of 1 plus the given number ( ln(1+x) )
(function)
(C++11) (C++11)
returns e raised to the given power ( e x )
(function)
complex natural logarithm with the branch cuts along the negative real axis
(function template)
applies the function std::log to each element of valarray
(function template)