exponential functions

View versions (4)

INTERFACE

#include <math.h>

double exp ( double x )
long expl ( long double x )
float expf ( float x )
double exp2 ( double x )
long exp2l ( long double x )
float exp2f ( float x )
double expm1 ( double x )
long expm1l ( long double x )
float expm1f ( float x )

DESCRIPTION

The exp function computes e^x, the base-e exponential of x.

The exp2 function computes 2^x, the base-2 exponential of x.

The expm1 function computes the base-e exponential of x, minus 1, accurately even for very small values of x.

Example 1
Workings

\code #include <stdio.h> #include <math.h> int main(void) { double result, x = 4.34; result = exp(x); printf("'e' raised to the power of %.2lf (e^%.2lf) = %.2lf
", x, x, result); return 0; } \endcode

Solution

Output:

'e' raised to the power of 4.34 (e^4.34) = 76.71

SPECIAL VALUES

exp ( &plusmn;0 ) and exp2 ( &plusmn;0 ) return 1.

exp ( -&infin; ) and exp2 ( -&infin; ) return +0.

exp ( +&infin; ) and exp2 ( +&infin; ) return +&infin;.

expm1 ( &plusmn;0 ) returns &plusmn;0.

expm1 ( -&infin; ) returns -1.

expm1 ( +&infin; ) returns +&infin;.

For all these functions, a range error occurs if the magnitude of x is too large.

SEE ALSO

log, pow

STANDARDS

The exp, exp2 and expm1 functions conform to ISO/IEC 9899:1999(E).