std::exp, std::expf, std::expl
Defined in header <cmath> | ||
|---|---|---|
| (1) | ||
float exp ( float arg ); | ||
float expf( float arg ); | (since C++11) | |
double exp ( double arg ); | (2) | |
| (3) | ||
long double exp ( long double arg ); | ||
long double expl( long double arg ); | (since C++11) | |
double exp ( IntegralType arg ); | (4) | (since C++11) |
Computes e (Euler's number, 2.7182818...) raised to the given power arg.
4) A set of overloads or a function template accepting an argument of any integral type. Equivalent to 2) (the argument is cast to
double).Parameters
| arg | - | value of floating-point or Integral type |
Return value
If no errors occur, the base-e exponential of arg (earg
) is returned.
If a range error due to overflow occurs, +HUGE_VAL, +HUGE_VALF, or +HUGE_VALL is returned.
If a range error occurs due to underflow, the correct result (after rounding) is returned.
Error handling
Errors are reported as specified in math_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
Notes
For IEEE-compatible type double, overflow is guaranteed if 709.8 < arg, and underflow is guaranteed if arg < -708.4.
Example
#include <iostream>
#include <cmath>
#include <cerrno>
#include <cstring>
#include <cfenv>
#pragma STDC FENV_ACCESS ON
int main()
{
std::cout << "exp(1) = " << std::exp(1) << '\n'
<< "FV of $100, continuously compounded at 3% for 1 year = "
<< 100*std::exp(0.03) << '\n';
// special values
std::cout << "exp(-0) = " << std::exp(-0.0) << '\n'
<< "exp(-Inf) = " << std::exp(-INFINITY) << '\n';
// error handling
errno = 0;
std::feclearexcept(FE_ALL_EXCEPT);
std::cout << "exp(710) = " << std::exp(710) << '\n';
if (errno == ERANGE)
std::cout << " errno == ERANGE: " << std::strerror(errno) << '\n';
if (std::fetestexcept(FE_OVERFLOW))
std::cout << " FE_OVERFLOW raised\n";
}Possible output:
exp(1) = 2.71828
FV of $100, continuously compounded at 3% for 1 year = 103.045
exp(-0) = 1
exp(-Inf) = 0
exp(710) = inf
errno == ERANGE: Numerical result out of range
FE_OVERFLOW raisedSee also
|
(C++11)(C++11)(C++11) | returns 2 raised to the given power (2x) (function) |
|
(C++11)(C++11)(C++11) | returns e raised to the given power, minus one (ex-1) (function) |
|
(C++11)(C++11) | computes natural (base e) logarithm (ln(x)) (function) |
| complex base e exponential (function template) |
|
applies the function std::exp to each element of valarray (function template) |
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