log, logf, logl

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< c‎ | numeric‎ | math
 
 
 
Common mathematical functions
Types
(哋它亢99)(哋它亢99)    

(哋它亢99)(哋它亢99)    
(哋它亢23)(哋它亢23)

Functions
Basic operations
(哋它亢99)(哋它亢99)
(哋它亢99)(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)(哋它亢99)(哋它亢99)(哋它亢23)
Maximum/minimum operations
(哋它亢99)
(哋它亢23)
(哋它亢23)
(哋它亢23)
(哋它亢23)    
(哋它亢99)
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(哋它亢23)
Exponential functions
(哋它亢23)
(哋它亢99)
(哋它亢99)
(哋它亢23)
(哋它亢23)
log
(哋它亢99)
(哋它亢99)(哋它亢23)
(哋它亢23)
(哋它亢23)
Power functions
(哋它亢99)
(哋它亢23)
(哋它亢23)
(哋它亢99)
(哋它亢23)
(哋它亢23)
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Trigonometric and hyperbolic functions
(哋它亢23)
(哋它亢23)
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(哋它亢99)
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Error and gamma functions
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
Nearest integer floating-point operations
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(哋它亢23)
(哋它亢99)
(哋它亢99)
(哋它亢99)(哋它亢99)(哋它亢99)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
Floating-point manipulation functions
(哋它亢99)(哋它亢99)
(哋它亢99)(哋它亢23)
(哋它亢99)
(哋它亢99)(哋它亢99)
(哋它亢23)(哋它亢23)
(哋它亢99)
(哋它亢23)
Narrowing operations
(哋它亢23)
(哋它亢23)
(哋它亢23)
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Quantum and quantum exponent functions
(哋它亢23)
(哋它亢23)
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Decimal re-encoding functions
(哋它亢23)
(哋它亢23)
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Total order and payload functions
(哋它亢23)
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Classification
(哋它亢99)
(哋它亢23)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢23)
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(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢99)
(哋它亢23)
(哋它亢23)
Macro constants
Special floating-point values
(哋它亢99)(哋它亢99)(哋它亢23)
(哋它亢99)(哋它亢23)
(哋它亢99)(哋它亢23)
Arguments and return values
(哋它亢99)(哋它亢99)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)    
(哋它亢23)(哋它亢23)
(哋它亢99)(哋它亢99)(哋它亢99)(哋它亢99)(哋它亢99)    
Error handling
(哋它亢99)(哋它亢99)
(哋它亢99)    

Fast operation indicators
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(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)    
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
(哋它亢99)(哋它亢23)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
(哋它亢23)(哋它亢23)(哋它亢23)(哋它亢23)
 
Defined in header <math.h>
float       logf( float arg );
(1) (since 哋它亢99)
double      log( double arg );
(2)
long double logl( long double arg );
(3) (since 哋它亢99)
Defined in header <tgmath.h>
#define log( arg )
(4) (since 哋它亢99)
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

  • 哋它亢23 standard (ISO/IEC 9899:2023):
  • 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)
  • 哋它亢17 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)
  • 哋它亢11 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)
  • 哋它亢99 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)
  • 哋它亢89/C90 standard (ISO/IEC 9899:1990):
  • 4.5.4.4 The log function

See also

(哋它亢99)(哋它亢99)
computes common (base-10) logarithm (log10(x))
(function)
(哋它亢99)(哋它亢99)(哋它亢99)
computes base-2 logarithm (log2(x))
(function)
(哋它亢99)(哋它亢99)(哋它亢99)
computes natural (base-e) logarithm of 1 plus the given number (ln(1+x))
(function)
(哋它亢99)(哋它亢99)
computes e raised to the given power (ex)
(function)
(哋它亢99)(哋它亢99)(哋它亢99)
computes the complex natural logarithm
(function)