log, logf, logl

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< c ‎ | numeric ‎ | math
Common mathematical functions
Types
Functions
Basic operations
(C99)
(C99)
(C99)
(C99) (C99) (C99) (C23)
Maximum/minimum operations
Exponential functions
log
(C99)
(C99) (C23)
(C23)
(C23)
Power functions
Trigonometric and hyperbolic functions
Error and gamma functions
(C99)
(C99)
(C99)
(C99)
Nearest integer floating-point operations
(C99) (C99) (C99)
(C23) (C23) (C23) (C23)
Floating-point manipulation functions
Narrowing operations
(C23)
(C23)
(C23)
(C23)
(C23)
(C23)
Quantum and quantum exponent functions
Decimal re-encoding functions
Total order and payload functions
Classification
Macro constants
Special floating-point values
Arguments and return values
Error handling
Defined in header <math.h>
float logf ( float arg ) ;
(1) (since C99)
double log ( double arg ) ;
(2)
long double logl ( long double arg ) ;
(3) (since C99)
Defined in header <tgmath.h>
#define log( arg )
(4) (since C99)
1-3) Computes the natural (base e ) logarithm of arg .
4) Type-generic macro: If arg has type long double , logl is called. Otherwise, if arg has integer type or the type double , log is called. Otherwise, logf is called. If arg is complex or imaginary, then the macro invokes the corresponding complex function ( clogf , clog , clogl ).

Parameters

arg - floating-point value

Return value

If no errors occur, the natural (base- e ) logarithm of arg ( ln(arg) or log e (arg) ) 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 arg is less than zero.

Pole error may occur if arg 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.

Example

#include <errno.h>
#include <fenv.h>
#include <float.h>
#include <math.h>
#include <stdio.h>
// #pragma STDC FENV_ACCESS ON
 
int main(void)
{
    printf("log(1) = %f\n", log(1));
    printf("base-5 logarithm of 125 = %f\n", log(125) / log(5));
 
    // special values
    printf("log(1) = %f\n", log(1));
    printf("log(+Inf) = %f\n", log(INFINITY));
 
    // error handling
    errno = 0; feclearexcept(FE_ALL_EXCEPT);
    printf("log(0) = %f\n", log(0));
    if (errno == ERANGE)
        perror("    errno == ERANGE");
    if (fetestexcept(FE_DIVBYZERO))
        puts("    FE_DIVBYZERO raised");
}

Output:

log(1) = 0.000000
base-5 logarithm of 125 = 3.000000
log(1) = 0.000000
log(+Inf) = inf
log(0) = -inf
    errno == ERANGE: Numerical result out of range
    FE_DIVBYZERO raised

References

  • C23 standard (ISO/IEC 9899:2024):
  • 7.12.6.7 The log functions (p: TBD)
  • 7.25 Type-generic math <tgmath.h> (p: TBD)
  • F.10.3.7 The log functions (p: TBD)
  • C17 standard (ISO/IEC 9899:2018):
  • 7.12.6.7 The log functions (p: 178-179)
  • 7.25 Type-generic math <tgmath.h> (p: 272-273)
  • F.10.3.7 The log functions (p: 380)
  • C11 standard (ISO/IEC 9899:2011):
  • 7.12.6.7 The log functions (p: 244-245)
  • 7.25 Type-generic math <tgmath.h> (p: 373-375)
  • F.10.3.7 The log functions (p: 522)
  • C99 standard (ISO/IEC 9899:1999):
  • 7.12.6.7 The log functions (p: 225)
  • 7.22 Type-generic math <tgmath.h> (p: 335-337)
  • F.9.3.7 The log functions (p: 459)
  • C89/C90 standard (ISO/IEC 9899:1990):
  • 4.5.4.4 The log function

See also

computes common (base- 10 ) logarithm ( log 10 (x) )
(function)
(C99) (C99) (C99)
computes base-2 logarithm ( log 2 (x) )
(function)
(C99) (C99) (C99)
computes natural (base- e ) logarithm of 1 plus the given number ( ln(1+x) )
(function)
(C99) (C99)
computes e raised to the given power ( e x )
(function)
(C99) (C99) (C99)
computes the complex natural logarithm
(function)