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      exp, expf, expl

      From cppreference.com
      <c‎ |numeric‎ |math
       
       
       
      Common mathematical functions
      Functions
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      exp
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      Defined in header<math.h>
      float       expf(float arg);
      (1)(since C99)
      double      exp(double arg);
      (2)
      longdouble expl(longdouble arg);
      (3)(since C99)
      Defined in header<tgmath.h>
      #define exp( arg )
      (4)(since C99)
      1-3) Computese (Euler's number,2.7182818...) raised to the given powerarg.
      4) Type-generic macro: Ifarg has typelongdouble,expl is called. Otherwise, ifarg has integer type or the typedouble,exp is called. Otherwise,expf is called. Ifarg is complex or imaginary, then the macro invokes the corresponding complex function (cexpf,cexp,cexpl).

      Contents

      [edit]Parameters

      arg - floating-point value

      [edit]Return value

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

      If a range error occurs due to overflow,+HUGE_VAL,+HUGE_VALF, or+HUGE_VALL is returned.

      If a range error occurs due to underflow, the correct result (after rounding) is returned.

      [edit]Error handling

      Errors are reported as specified inmath_errhandling.

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

      • 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

      [edit]Notes

      For IEEE-compatible typedouble, overflow is guaranteed if709.8 < arg, and underflow is guaranteed ifarg < -708.4.

      [edit]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){printf("exp(1) = %f\n", exp(1));printf("FV of $100, continuously compounded at 3%% for 1 year = %f\n",100*exp(0.03));// special valuesprintf("exp(-0) = %f\n", exp(-0.0));printf("exp(-Inf) = %f\n", exp(-INFINITY));//error handlingerrno=0;feclearexcept(FE_ALL_EXCEPT);printf("exp(710) = %f\n", exp(710));if(errno==ERANGE)perror("    errno == ERANGE");if(fetestexcept(FE_OVERFLOW))puts("    FE_OVERFLOW raised");}

      Possible output:

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

      [edit]References

      • C23 standard (ISO/IEC 9899:2024):
      • 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)
      • C17 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)
      • C11 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)
      • C99 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)
      • C89/C90 standard (ISO/IEC 9899:1990):
      • 4.5.4.1 The exp function

      [edit]See also

      (C99)(C99)(C99)
      computes2 raised to the given power (\({\small 2^x}\)2x)
      (function)[edit]
      (C99)(C99)(C99)
      computese raised to the given power, minus one (\({\small e^x-1}\)ex-1)
      (function)[edit]
      (C99)(C99)
      computes natural (base-e) logarithm (\({\small \ln{x} }\)ln(x))
      (function)[edit]
      (C99)(C99)(C99)
      computes the complex base-e exponential
      (function)[edit]
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=c/numeric/math/exp&oldid=172008"

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