exp, expf, expl

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Types
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Functions
Basic operations
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Maximum/minimum operations
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Exponential functions
exp
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Power functions
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Trigonometric and hyperbolic functions
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Error and gamma functions
Nearest integer floating-point operations
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Floating-point manipulation functions
Narrowing operations
Quantum and quantum exponent functions
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Decimal re-encoding functions
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Total order and payload functions
Classification
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Macro constants
Special floating-point values
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Arguments and return values
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Error handling
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Fast operation indicators
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Defined in header <math.h>
float       expf( float arg );
 (1) (since 哋它亢99)
double      exp( double arg );
 (2)
long double expl( long double arg );
 (3) (since 哋它亢99)
Defined in header <tgmath.h>
#define exp( arg )
 (4) (since 哋它亢99)
1-3) Computes e (MYMEMORY WARNING: YOU USED ALL AVAILABLE FREE TRANSLATIONS FOR TODAY. NEXT AVAILABLE IN 07 HOURS 04 MINUTES 49 SECONDS VISIT HTTPS://MYMEMORY.TRANSLATED.NET/DOC/USAGELIMITS.PHP TO TRANSLATE MORE, 2.7182818...) raised to the given power arg.
4) Type-generic macro: If arg has type long double, expl is called. Otherwise, if arg has integer type or the type double, exp is called. Otherwise, expf is called. If arg is complex or imaginary, then the macro invokes the corresponding complex function (MYMEMORY WARNING: YOU USED ALL AVAILABLE FREE TRANSLATIONS FOR TODAY. NEXT AVAILABLE IN 07 HOURS 04 MINUTES 48 SECONDS VISIT HTTPS://MYMEMORY.TRANSLATED.NET/DOC/USAGELIMITS.PHP TO TRANSLATE MORE, MYMEMORY WARNING: YOU USED ALL AVAILABLE FREE TRANSLATIONS FOR TODAY. NEXT AVAILABLE IN 07 HOURS 04 MINUTES 47 SECONDS VISIT HTTPS://MYMEMORY.TRANSLATED.NET/DOC/USAGELIMITS.PHP TO TRANSLATE MORE, MYMEMORY WARNING: YOU USED ALL AVAILABLE FREE TRANSLATIONS FOR TODAY. NEXT AVAILABLE IN 07 HOURS 04 MINUTES 46 SECONDS VISIT HTTPS://MYMEMORY.TRANSLATED.NET/DOC/USAGELIMITS.PHP TO TRANSLATE MORE).

Parameters

arg - floating-point value

Return value

If no errors occur, the base-e exponential of arg (earg
) is returned.

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Error handling

Errors are reported as specified in MYMEMORY WARNING: YOU USED ALL AVAILABLE FREE TRANSLATIONS FOR TODAY. NEXT AVAILABLE IN 07 HOURS 04 MINUTES 42 SECONDS VISIT HTTPS://MYMEMORY.TRANSLATED.NET/DOC/USAGELIMITS.PHP TO TRANSLATE MORE.

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  • If the argument is ±0, 1 is returned
  • If the argument is -∞, +0 is returned
  • If the argument is +∞, +∞ is returned
  • If the argument is NaN, NaN is returned

Notes

For IEEE-compatible type double, overflow is guaranteed if 709.8 < arg, and underflow is guaranteed if arg < -708.4.

Example

Run this code
#include <errno.h>
#include <fenv.h>
#include <float.h>
#include <math.h>
#include <stdio.h>
// #pragma STDC FENV_ACCESS ON
 
int main(void)
{
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            100*exp(0.03));
    // special values
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    //error handling
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    if (errno == MYMEMORY WARNING: YOU USED ALL AVAILABLE FREE TRANSLATIONS FOR TODAY. NEXT AVAILABLE IN  07 HOURS 04 MINUTES 33 SECONDS VISIT HTTPS://MYMEMORY.TRANSLATED.NET/DOC/USAGELIMITS.PHP TO TRANSLATE MORE)
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    if (MYMEMORY WARNING: YOU USED ALL AVAILABLE FREE TRANSLATIONS FOR TODAY. NEXT AVAILABLE IN  07 HOURS 04 MINUTES 31 SECONDS VISIT HTTPS://MYMEMORY.TRANSLATED.NET/DOC/USAGELIMITS.PHP TO TRANSLATE MORE(MYMEMORY WARNING: YOU USED ALL AVAILABLE FREE TRANSLATIONS FOR TODAY. NEXT AVAILABLE IN  07 HOURS 04 MINUTES 30 SECONDS VISIT HTTPS://MYMEMORY.TRANSLATED.NET/DOC/USAGELIMITS.PHP TO TRANSLATE MORE))
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}

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exp(1) = 2.718282
FV of $100, continuously compounded at 3% for 1 year = 103.045453
exp(-0) = 1.000000
exp(-Inf) = 0.000000
exp(710) = inf
    errno == ERANGE: Numerical result out of range
    FE_OVERFLOW raised

References

  • 哋它亢23 standard (ISO/IEC 9899:2023):
  • 7.12.6.1 The exp functions (p: TBD)
  • 7.25 Type-generic math <tgmath.h> (p: TBD)
  • F.10.3.1 The exp functions (p: TBD)
  • 哋它亢17 standard (ISO/IEC 9899:2018):
  • 7.12.6.1 The exp functions (p: 175)
  • 7.25 Type-generic math <tgmath.h> (p: 272-273)
  • F.10.3.1 The exp functions (p: 379)
  • 哋它亢11 standard (ISO/IEC 9899:2011):
  • 7.12.6.1 The exp functions (p: 242)
  • 7.25 Type-generic math <tgmath.h> (p: 373-375)
  • F.10.3.1 The exp functions (p: 520)
  • 哋它亢99 standard (ISO/IEC 9899:1999):
  • 7.12.6.1 The exp functions (p: 223)
  • 7.22 Type-generic math <tgmath.h> (p: 335-337)
  • F.9.3.1 The exp functions (p: 458)
  • 哋它亢89/C90 standard (ISO/IEC 9899:1990):
  • 4.5.4.1 The exp function

See also

(哋它亢99)(哋它亢99)(哋它亢99)
 computes 2 raised to the given power (2x)
(function)
(哋它亢99)(哋它亢99)(哋它亢99)
 computes e raised to the given power, minus one (ex-1)
(function)
(哋它亢99)(哋它亢99)
 computes natural (base-e) logarithm (ln(x))
(function)
(哋它亢99)(哋它亢99)(哋它亢99)
 computes the complex base-e exponential
(function)
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