# cexpf, cexp, cexpl

< c‎ | numeric‎ | complex

C
 Language headers Type support Dynamic memory management Error handling Program utilities Variadic function support Date and time utilities Strings library Algorithms Numerics Input/output support Localization support Thread support (C11) Atomic operations (C11) Technical Specifications

Complex number arithmetic
Types and the imaginary constant
Manipulation
Power and exponential functions
 cexp clog
Trigonometric functions
Hyperbolic functions

 Defined in header `` float complex       cexpf( float complex z ); (1) (since C99) double complex      cexp( double complex z ); (2) (since C99) long double complex cexpl( long double complex z ); (3) (since C99) Defined in header `` #define exp( z ) (4) (since C99)
1-3) Computes the complex base-e exponential of `z`.
4) Type-generic macro: If `z` has type long double complex, `cexpl` is called. if `z` has type double complex, `cexp` is called, if `z` has type float complex, `cexpf` is called. If `z` is real or integer, then the macro invokes the corresponding real function (expf, exp, expl). If `z` is imaginary, the corresponding complex argument version is called.

## Contents

### Parameters

 z - complex argument

### Return value

If no errors occur, e raised to the power of `z`, ez
is returned.

### Error handling and special values

Errors are reported consistent with math_errhandling

If the implementation supports IEEE floating-point arithmetic,

• cexp(conj(z)) == conj(cexp(z))
• If `z` is `±0+0i`, the result is `1+0i`
• If `z` is `x+∞i` (for any finite x), the result is `NaN+NaNi` and FE_INVALID is raised.
• If `z` is `x+NaNi` (for any finite x), the result is `NaN+NaNi` and FE_INVALID may be raised.
• If `z` is `+∞+0i`, the result is `+∞+0i`
• If `z` is `-∞+yi` (for any finite y), the result is `+0+cis(y)`
• If `z` is `+∞+yi` (for any finite nonzero y), the result is `+∞+cis(y)`
• If `z` is `-∞+∞i`, the result is `±0±0i` (signs are unspecified)
• If `z` is `+∞+∞i`, the result is `±∞+NaNi` and FE_INVALID is raised (the sign of the real part is unspecified)
• If `z` is `-∞+NaNi`, the result is `±0±0i` (signs are unspecified)
• If `z` is `+∞+NaNi`, the result is `±∞+NaNi` (the sign of the real part is unspecified)
• If `z` is `NaN+0i`, the result is `NaN+0i`
• If `z` is `NaN+yi` (for any nonzero y), the result is `NaN+NaNi` and FE_INVALID may be raised
• If `z` is `NaN+NaNi`, the result is `NaN+NaNi`

where cis(y) is cos(y) + i sin(y)