  # Manual Pages  — CEXP

### NAME

cexp, cexpf – complex exponential functions

### LIBRARY

Math Library (libm, -lm)

### SYNOPSIS

`#include <complex.h>`

double complex
cexp(double complex z);

float complex
cexpf(float complex z);

### DESCRIPTION

The cexp() and cexpf() functions compute the complex exponential of z, also known as cis( z, Ns).

### RETURN VALUES

For real numbers x and y, cexp() behaves according to Euler's formula: cexp(x + I*y) = ( e** x, * cos( y, Ns, Pc, Pc, +, Po, Ns I * e** x * sin( y, Ns, Pc, Pc

Generally speaking, infinities, zeroes and NaNs are handled as would be expected from this identity given the usual rules of floating-point arithmetic. However, care is taken to avoid generating NaNs when they are not deserved. For example, mathematically we expect that cimag(cexp(x + I*0)) = 0 regardless of the value of x, and cexp() preserves this identity even if x is ∞ or NaN. Likewise, cexp(-∞ + I*y) = 0 and creal(cexp(∞ + I*y)) = ∞ for any y (even though the latter property is only mathematically true for representable y, .) If y is not finite, the sign of the result is indeterminate. 